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	Index: trunk/src/variables/variables.nw
	===================================================================
	--- trunk/src/variables/variables.nw (revision 8423)
	+++ trunk/src/variables/variables.nw (revision 8424)
	@@ -1,6830 +1,6830 @@
	% -- ess-noweb-default-code-mode: f90-mode; noweb-default-code-mode: f90-mode; --
	% WHIZARD code as NOWEB source: variables for processes
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\chapter{Variables for Processes}
	\includemodulegraph{variables}

	This part introduces variables as user-controlled objects that
	influence the behavior of objects and calculations. Variables contain
	objects of intrinsic type or of a type as introced above.
	\begin{description}
	\item[variables]
	Store values of various kind, used by expressions and accessed by
	the command interface. This provides an implementation of the [[vars_t]]
	abstract type.
	\item[observables]
	Concrete implementation of observables (functions in the variable tree),
	applicable for \whizard.
	abstract type.
	\end{description}

	\clearpage
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\section{Variables: Implementation}
	The user interface deals with variables that are handled similarly to
	full-flegded programming languages. The system will add a lot of
	predefined variables (model parameters, flags, etc.) that are
	accessible to the user by the same methods.

	Variables can be of various type: logical (boolean/flag), integer,
	real (default precision), subevents (used in cut expressions),
	arrays of PDG codes (aliases for particles), strings. Furthermore, in
	cut expressions we have unary and binary observables, which are used
	like real parameters but behave like functions.
	<<[[variables.f90]]>>=
	<<File header>>

	module variables

	<<Use kinds>>
	<<Use strings>>
	use io_units
	use format_utils, only: pac_fmt
	use format_defs, only: FMT_12, FMT_19
	use constants, only: eps0
	use os_interface, only: paths_t
	use physics_defs, only: LAMBDA_QCD_REF
	use system_dependencies
	use fastjet !NODEP!
	use diagnostics
	use pdg_arrays
	use subevents

	use var_base

	<<Standard module head>>

	<<Variables: public>>

	<<Variables: parameters>>

	<<Variables: types>>

	<<Variables: interfaces>>

	contains

	<<Variables: procedures>>

	end module variables
	@ %def variables
	@
	\subsection{Variable list entries}
	Variable (and constant) values can be of one of the following types:
	<<Variables: parameters>>=
	integer, parameter, public :: V_NONE = 0, V_LOG = 1, V_INT = 2, V_REAL = 3
	integer, parameter, public :: V_CMPLX = 4, V_SEV = 5, V_PDG = 6, V_STR = 7
	integer, parameter, public :: V_OBS1_INT = 11, V_OBS2_INT = 12
	integer, parameter, public :: V_OBS1_REAL = 21, V_OBS2_REAL = 22
	integer, parameter, public :: V_UOBS1_INT = 31, V_UOBS2_INT = 32
	integer, parameter, public :: V_UOBS1_REAL = 41, V_UOBS2_REAL = 42

	@ %def V_NONE V_LOG V_INT V_REAL V_CMPLX V_PRT V_SEV V_PDG
	@ %def V_OBS1_INT V_OBS2_INT V_OBS1_REAL V_OBS2_REAL
	@ %def V_UOBS1_INT V_UOBS2_INT V_UOBS1_REAL V_UOBS2_REAL
	@
	\subsubsection{The type}
	This is an entry in the variable list. It can be of any type; in
	each case only one value is allocated. It may be physically
	allocated upon creation, in which case [[is_allocated]] is true, or
	it may contain just a pointer to a value somewhere else, in which case
	[[is_allocated]] is false.

	The flag [[is_defined]] is set when the variable is given a value, even the
	undefined value. (Therefore it is distinct from [[is_known]].) This matters
	for variable declaration in the SINDARIN language. The variable is set up in
	the compilation step and initially marked as defined, but after compilation
	all variables are set undefined. Each variable becomes defined when it is
	explicitly set. The difference matters in loops.

	[[is_locked]] means that it cannot be given a value using the interface
	routines [[var_list_set_XXX]] below. It can only be initialized, or change
	automatically due to a side effect.

	[[is_copy]] means that this is a local copy of a global variable. The copy
	has a pointer to the original, which can be used to restore a previous value.

	[[is_intrinsic]] means that this variable is defined by the program, not by
	the user. Intrinsic variables cannot be (re)declared, but their values can be
	reset unless they are locked. [[is_user_var]] means that the variable has
	been declared by the user. It could be a new variable, or a local copy of an
	intrinsic variable.

	The flag [[is_known]] is a pointer which parallels the use of the
	value pointer. For pointer variables, it is set if the value should point to
	a known value. For ordinary variables, it should be true.

	The value is implemented as a set of alternative type-specific pointers. This
	emulates polymorphism, and it allows for actual pointer variables.
	Observable-type variables have function pointers as values, so they behave
	like macros. The functions make use of the particle objects accessible via
	the pointers [[prt1]] and [[prt2]].

	Finally, the [[next]] pointer indicates that we are making lists of
	variables. A more efficient implementation might switch to hashes or
	similar; the current implementation has $O(N)$ lookup.
	<<Variables: public>>=
	public :: var_entry_t
	<<Variables: types>>=
	type :: var_entry_t
	private
	integer :: type = V_NONE
	type(string_t) :: name
	logical :: is_allocated = .false.
	logical :: is_defined = .false.
	logical :: is_locked = .false.
	logical :: is_intrinsic = .false.
	logical :: is_user_var = .false.
	logical, pointer :: is_known => null ()
	logical, pointer :: lval => null ()
	integer, pointer :: ival => null ()
	real(default), pointer :: rval => null ()
	complex(default), pointer :: cval => null ()
	type(subevt_t), pointer :: pval => null ()
	type(pdg_array_t), pointer :: aval => null ()
	type(string_t), pointer :: sval => null ()
	procedure(obs_unary_int), nopass, pointer :: obs1_int => null ()
	procedure(obs_unary_real), nopass, pointer :: obs1_real => null ()
	procedure(obs_binary_int), nopass, pointer :: obs2_int => null ()
	procedure(obs_binary_real), nopass, pointer :: obs2_real => null ()
	type(prt_t), pointer :: prt1 => null ()
	type(prt_t), pointer :: prt2 => null ()
	type(var_entry_t), pointer :: next => null ()
	type(var_entry_t), pointer :: previous => null ()
	type(string_t) :: description
	end type var_entry_t

	@ %def var_entry_t
	@
	\subsubsection{Interfaces for the observable functions}
	<<Variables: public>>=
	public :: obs_unary_int
	public :: obs_unary_real
	public :: obs_binary_int
	public :: obs_binary_real
	<<Variables: interfaces>>=
	abstract interface
	function obs_unary_int (prt1) result (ival)
	import
	integer :: ival
	type(prt_t), intent(in) :: prt1
	end function obs_unary_int
	end interface
	abstract interface
	function obs_unary_real (prt1) result (rval)
	import
	real(default) :: rval
	type(prt_t), intent(in) :: prt1
	end function obs_unary_real
	end interface
	abstract interface
	function obs_binary_int (prt1, prt2) result (ival)
	import
	integer :: ival
	type(prt_t), intent(in) :: prt1, prt2
	end function obs_binary_int
	end interface
	abstract interface
	function obs_binary_real (prt1, prt2) result (rval)
	import
	real(default) :: rval
	type(prt_t), intent(in) :: prt1, prt2
	end function obs_binary_real
	end interface

	@ %def obs_unary_int obs_unary_real obs_binary_real
	@
	\subsubsection{Initialization}
	Initialize an entry, optionally with a physical value. We also
	allocate the [[is_known]] flag and set it if the value is set.
	<<Variables: public>>=
	public :: var_entry_init_int
	<<Variables: procedures>>=
	subroutine var_entry_init_log (var, name, lval, intrinsic, user)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	logical, intent(in), optional :: lval
	logical, intent(in), optional :: intrinsic, user
	var%name = name
	var%type = V_LOG
	allocate (var%lval, var%is_known)
	if (present (lval)) then
	var%lval = lval
	var%is_defined = .true.
	var%is_known = .true.
	else
	var%is_known = .false.
	end if
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	if (present (user)) var%is_user_var = user
	var%is_allocated = .true.
	end subroutine var_entry_init_log

	subroutine var_entry_init_int (var, name, ival, intrinsic, user)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	integer, intent(in), optional :: ival
	logical, intent(in), optional :: intrinsic, user
	var%name = name
	var%type = V_INT
	allocate (var%ival, var%is_known)
	if (present (ival)) then
	var%ival = ival
	var%is_defined = .true.
	var%is_known = .true.
	else
	var%is_known = .false.
	end if
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	if (present (user)) var%is_user_var = user
	var%is_allocated = .true.
	end subroutine var_entry_init_int

	subroutine var_entry_init_real (var, name, rval, intrinsic, user)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	real(default), intent(in), optional :: rval
	logical, intent(in), optional :: intrinsic, user
	var%name = name
	var%type = V_REAL
	allocate (var%rval, var%is_known)
	if (present (rval)) then
	var%rval = rval
	var%is_defined = .true.
	var%is_known = .true.
	else
	var%is_known = .false.
	end if
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	if (present (user)) var%is_user_var = user
	var%is_allocated = .true.
	end subroutine var_entry_init_real

	subroutine var_entry_init_cmplx (var, name, cval, intrinsic, user)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	complex(default), intent(in), optional :: cval
	logical, intent(in), optional :: intrinsic, user
	var%name = name
	var%type = V_CMPLX
	allocate (var%cval, var%is_known)
	if (present (cval)) then
	var%cval = cval
	var%is_defined = .true.
	var%is_known = .true.
	else
	var%is_known = .false.
	end if
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	if (present (user)) var%is_user_var = user
	var%is_allocated = .true.
	end subroutine var_entry_init_cmplx

	subroutine var_entry_init_subevt (var, name, pval, intrinsic, user)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	type(subevt_t), intent(in), optional :: pval
	logical, intent(in), optional :: intrinsic, user
	var%name = name
	var%type = V_SEV
	allocate (var%pval, var%is_known)
	if (present (pval)) then
	var%pval = pval
	var%is_defined = .true.
	var%is_known = .true.
	else
	var%is_known = .false.
	end if
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	if (present (user)) var%is_user_var = user
	var%is_allocated = .true.
	end subroutine var_entry_init_subevt

	subroutine var_entry_init_pdg_array (var, name, aval, intrinsic, user)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	type(pdg_array_t), intent(in), optional :: aval
	logical, intent(in), optional :: intrinsic, user
	var%name = name
	var%type = V_PDG
	allocate (var%aval, var%is_known)
	if (present (aval)) then
	var%aval = aval
	var%is_defined = .true.
	var%is_known = .true.
	else
	var%is_known = .false.
	end if
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	if (present (user)) var%is_user_var = user
	var%is_allocated = .true.
	end subroutine var_entry_init_pdg_array

	subroutine var_entry_init_string (var, name, sval, intrinsic, user)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	type(string_t), intent(in), optional :: sval
	logical, intent(in), optional :: intrinsic, user
	var%name = name
	var%type = V_STR
	allocate (var%sval, var%is_known)
	if (present (sval)) then
	var%sval = sval
	var%is_defined = .true.
	var%is_known = .true.
	else
	var%is_known = .false.
	end if
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	if (present (user)) var%is_user_var = user
	var%is_allocated = .true.
	end subroutine var_entry_init_string

	@ %def var_entry_init_log
	@ %def var_entry_init_int
	@ %def var_entry_init_real
	@ %def var_entry_init_cmplx
	@ %def var_entry_init_subevt
	@ %def var_entry_init_pdg_array
	@ %def var_entry_init_string
	@ Initialize an entry with a pointer to the value and, for numeric/logical
	values, a pointer to the [[is_known]] flag.
	<<Variables: procedures>>=
	subroutine var_entry_init_log_ptr (var, name, lval, is_known, intrinsic)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	logical, intent(in), target :: lval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: intrinsic
	var%name = name
	var%type = V_LOG
	var%lval => lval
	var%is_known => is_known
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	var%is_defined = .true.
	end subroutine var_entry_init_log_ptr

	subroutine var_entry_init_int_ptr (var, name, ival, is_known, intrinsic)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	integer, intent(in), target :: ival
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: intrinsic
	var%name = name
	var%type = V_INT
	var%ival => ival
	var%is_known => is_known
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	var%is_defined = .true.
	end subroutine var_entry_init_int_ptr

	subroutine var_entry_init_real_ptr (var, name, rval, is_known, intrinsic)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	real(default), intent(in), target :: rval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: intrinsic
	var%name = name
	var%type = V_REAL
	var%rval => rval
	var%is_known => is_known
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	var%is_defined = .true.
	end subroutine var_entry_init_real_ptr

	subroutine var_entry_init_cmplx_ptr (var, name, cval, is_known, intrinsic)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	complex(default), intent(in), target :: cval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: intrinsic
	var%name = name
	var%type = V_CMPLX
	var%cval => cval
	var%is_known => is_known
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	var%is_defined = .true.
	end subroutine var_entry_init_cmplx_ptr

	subroutine var_entry_init_pdg_array_ptr (var, name, aval, is_known, intrinsic)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	type(pdg_array_t), intent(in), target :: aval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: intrinsic
	var%name = name
	var%type = V_PDG
	var%aval => aval
	var%is_known => is_known
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	var%is_defined = .true.
	end subroutine var_entry_init_pdg_array_ptr

	subroutine var_entry_init_subevt_ptr (var, name, pval, is_known, intrinsic)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	type(subevt_t), intent(in), target :: pval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: intrinsic
	var%name = name
	var%type = V_SEV
	var%pval => pval
	var%is_known => is_known
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	var%is_defined = .true.
	end subroutine var_entry_init_subevt_ptr

	subroutine var_entry_init_string_ptr (var, name, sval, is_known, intrinsic)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	type(string_t), intent(in), target :: sval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: intrinsic
	var%name = name
	var%type = V_STR
	var%sval => sval
	var%is_known => is_known
	if (present (intrinsic)) var%is_intrinsic = intrinsic
	var%is_defined = .true.
	end subroutine var_entry_init_string_ptr

	@ %def var_entry_init_log_ptr
	@ %def var_entry_init_int_ptr
	@ %def var_entry_init_real_ptr
	@ %def var_entry_init_cmplx_ptr
	@ %def var_entry_init_pdg_array_ptr
	@ %def var_entry_init_subevt_ptr
	@ %def var_entry_init_string_ptr
	@ Initialize an entry with an observable. The procedure pointer is
	not yet set.
	<<Variables: procedures>>=
	subroutine var_entry_init_obs (var, name, type, prt1, prt2)
	type(var_entry_t), intent(out) :: var
	type(string_t), intent(in) :: name
	integer, intent(in) :: type
	type(prt_t), intent(in), target :: prt1
	type(prt_t), intent(in), optional, target :: prt2
	var%type = type
	var%name = name
	var%prt1 => prt1
	if (present (prt2)) var%prt2 => prt2
	var%is_intrinsic = .true.
	var%is_defined = .true.
	end subroutine var_entry_init_obs

	@ %def var_entry_init_obs
	@ Mark an entry as undefined it it is a user-defined variable object, so force
	re-initialization.
	<<Variables: procedures>>=
	subroutine var_entry_undefine (var)
	type(var_entry_t), intent(inout) :: var
	var%is_defined = .not. var%is_user_var
	var%is_known = var%is_defined .and. var%is_known
	end subroutine var_entry_undefine

	@ %def var_entry_undefine
	@ Clear an entry: mark it as unknown.
	<<Variables: procedures>>=
	subroutine var_entry_clear (var)
	type(var_entry_t), intent(inout) :: var
	var%is_known = .false.
	end subroutine var_entry_clear

	@ %def var_entry_clear
	@ Lock an entry: forbid resetting the entry after initialization.
	<<Variables: procedures>>=
	subroutine var_entry_lock (var, locked)
	type(var_entry_t), intent(inout) :: var
	logical, intent(in), optional :: locked
	if (present (locked)) then
	var%is_locked = locked
	else
	var%is_locked = .true.
	end if
	end subroutine var_entry_lock

	@ %def var_entry_lock
	@
	\subsubsection{Finalizer}
	<<Variables: procedures>>=
	subroutine var_entry_final (var)
	type(var_entry_t), intent(inout) :: var
	if (var%is_allocated) then
	select case (var%type)
	case (V_LOG); deallocate (var%lval)
	case (V_INT); deallocate (var%ival)
	case (V_REAL);deallocate (var%rval)
	case (V_CMPLX);deallocate (var%cval)
	case (V_SEV); deallocate (var%pval)
	case (V_PDG); deallocate (var%aval)
	case (V_STR); deallocate (var%sval)
	end select
	deallocate (var%is_known)
	var%is_allocated = .false.
	var%is_defined = .false.
	end if
	end subroutine var_entry_final

	@ %def var_entry_final
	@
	\subsubsection{Output}
	<<Variables: procedures>>=
	recursive subroutine var_entry_write (var, unit, model_name, &
	intrinsic, pacified, descriptions, ascii_output)
	type(var_entry_t), intent(in) :: var
	integer, intent(in), optional :: unit
	type(string_t), intent(in), optional :: model_name
	logical, intent(in), optional :: intrinsic
	logical, intent(in), optional :: pacified
	logical, intent(in), optional :: descriptions
	logical, intent(in), optional :: ascii_output
	type(string_t) :: col_string
	logical :: show_desc, ao
	integer :: u
	u = given_output_unit (unit); if (u < 0) return
	show_desc = .false.; if (present (descriptions)) show_desc = descriptions
	ao = .false.; if (present (ascii_output)) ao = ascii_output
	if (show_desc) then
	if (ao) then
	col_string = create_col_string (COL_BLUE)
	if (var%is_locked) then
	write (u, "(A)", advance="no") char (achar(27) // col_string) // &
	char (var%name) // achar(27) // "[0m" //" fixed-value="
	else
	write (u, "(A)", advance="no") char (achar(27) // col_string) // &
	char (var%name) // achar(27) // "[0m" //" default="
	end if
	col_string = create_col_string (COL_RED)
	write (u, "(A)", advance="no") char (achar(27) // col_string)
	call var_write_val (var, u, "no", pacified=.true.)
	write (u, "(A)") achar(27) // "[0m"
	write (u, "(A)") char (var%description)
	return
	else
	write (u, "(A)") "\item"
	write (u, "(A)", advance="no") "\ttt{" // char ( &
	replace (replace (var%name, "_", "\_", every=.true.), "$", "\$" )) // &
	"} "
	if (var%is_known) then
	if (var%is_locked) then
	write (u, "(A)", advance="no") "\qquad (fixed value: \ttt{"
	else
	write (u, "(A)", advance="no") "\qquad (default: \ttt{"
	end if
	call var_write_val (var, u, "no", pacified=.true., escape_tex=.true.)
	write (u, "(A)", advance="no") "})"
	end if
	write (u, "(A)") " \newline"
	write (u, "(A)") char (var%description)
	write (u, "(A)") "%%%%%"
	return
	end if
	end if
	if (present (intrinsic)) then
	if (var%is_intrinsic .neqv. intrinsic) return
	end if
	if (.not. var%is_defined) then
	write (u, "(A,1x)", advance="no") "[undefined]"
	end if
	if (.not. var%is_intrinsic) then
	write (u, "(A,1x)", advance="no") "[user variable]"
	end if
	if (present (model_name)) then
	write (u, "(A,A)", advance="no") char(model_name), "."
	end if
	write (u, "(A)", advance="no") char (var%name)
	if (var%is_locked) write (u, "(A)", advance="no") "*"
	if (var%is_allocated) then
	write (u, "(A)", advance="no") " = "
	else if (var%type /= V_NONE) then
	write (u, "(A)", advance="no") " => "
	end if
	call var_write_val (var, u, "yes", pacified)
	end subroutine var_entry_write

	@ %def var_entry_write
	@
	<<Variables: procedures>>=
	subroutine var_write_val (var, u, advance, pacified, escape_tex)
	type(var_entry_t), intent(in) :: var
	integer, intent(in) :: u
	character(*), intent(in) :: advance
	logical, intent(in), optional :: pacified, escape_tex
	logical :: num_pac, et
	real(default) :: rval
	complex(default) :: cval
	character(len=7) :: fmt
	call pac_fmt (fmt, FMT_19, FMT_12, pacified)
	num_pac = .false.; if (present (pacified)) num_pac = pacified
	et = .false.; if (present (escape_tex)) et = escape_tex
	select case (var%type)
	case (V_NONE); write (u, '()', advance=advance)
	case (V_LOG)
	if (var%is_known) then
	if (var%lval) then
	write (u, "(A)", advance=advance) "true"
	else
	write (u, "(A)", advance=advance) "false"
	end if
	else
	write (u, "(A)", advance=advance) "[unknown logical]"
	end if
	case (V_INT)
	if (var%is_known) then
	write (u, "(I0)", advance=advance) var%ival
	else
	write (u, "(A)", advance=advance) "[unknown integer]"
	end if
	case (V_REAL)
	if (var%is_known) then
	rval = var%rval
	if (num_pac) then
	call pacify (rval, 10 * eps0)
	end if
	write (u, "(" // fmt // ")", advance=advance) rval
	else
	write (u, "(A)", advance=advance) "[unknown real]"
	end if
	case (V_CMPLX)
	if (var%is_known) then
	cval = var%cval
	if (num_pac) then
	call pacify (cval, 10 * eps0)
	end if
	write (u, "('('," // fmt // ",','," // fmt // ",')')", advance=advance) cval
	else
	write (u, "(A)", advance=advance) "[unknown complex]"
	end if
	case (V_SEV)
	if (var%is_known) then
	call subevt_write (var%pval, u, prefix=" ", &
	pacified = pacified)
	else
	write (u, "(A)", advance=advance) "[unknown subevent]"
	end if
	case (V_PDG)
	if (var%is_known) then
	call pdg_array_write (var%aval, u); write (u, *)
	else
	write (u, "(A)", advance=advance) "[unknown PDG array]"
	end if
	case (V_STR)
	if (var%is_known) then
	if (et) then
	write (u, "(A)", advance=advance) '"' // char (replace ( &
	replace (var%sval, "_", "\_", every=.true.), "$", "\$" )) // '"'
	else
	write (u, "(A)", advance=advance) '"' // char (var%sval) // '"'
	end if
	else
	write (u, "(A)", advance=advance) "[unknown string]"
	end if
	case (V_OBS1_INT); write (u, "(A)", advance=advance) "[int] = unary observable"
	case (V_OBS2_INT); write (u, "(A)", advance=advance) "[int] = binary observable"
	case (V_OBS1_REAL); write (u, "(A)", advance=advance) "[real] = unary observable"
	case (V_OBS2_REAL); write (u, "(A)", advance=advance) "[real] = binary observable"
	case (V_UOBS1_INT); write (u, "(A)", advance=advance) "[int] = unary user observable"
	case (V_UOBS2_INT); write (u, "(A)", advance=advance) "[int] = binary user observable"
	case (V_UOBS1_REAL); write (u, "(A)", advance=advance) "[real] = unary user observable"
	case (V_UOBS2_REAL); write (u, "(A)", advance=advance) "[real] = binary user observable"
	end select
	end subroutine var_write_val

	@ %def procedure
	@
	\subsubsection{Accessing contents}
	<<Variables: procedures>>=
	function var_entry_get_name (var) result (name)
	type(string_t) :: name
	type(var_entry_t), intent(in) :: var
	name = var%name
	end function var_entry_get_name

	function var_entry_get_type (var) result (type)
	integer :: type
	type(var_entry_t), intent(in) :: var
	type = var%type
	end function var_entry_get_type

	@ %def var_entry_get_name var_entry_get_type
	@ Return true if the variable is defined. This the case if it is allocated
	and known, or if it is a pointer.
	<<Variables: procedures>>=
	function var_entry_is_defined (var) result (defined)
	logical :: defined
	type(var_entry_t), intent(in) :: var
	defined = var%is_defined
	end function var_entry_is_defined

	@ %def var_entry_is_defined
	@ Return true if the variable is locked. If [[force]] is active,
	always return false.
	<<Variables: procedures>>=
	function var_entry_is_locked (var, force) result (locked)
	logical :: locked
	type(var_entry_t), intent(in) :: var
	logical, intent(in), optional :: force
	if (present (force)) then
	if (force) then
	locked = .false.; return
	end if
	end if
	locked = var%is_locked
	end function var_entry_is_locked

	@ %def var_entry_is_locked
	@ Return true if the variable is intrinsic
	<<Variables: procedures>>=
	function var_entry_is_intrinsic (var) result (flag)
	logical :: flag
	type(var_entry_t), intent(in) :: var
	flag = var%is_intrinsic
	end function var_entry_is_intrinsic

	@ %def var_entry_is_intrinsic
	@ Return components
	<<Variables: procedures>>=
	function var_entry_is_known (var) result (flag)
	logical :: flag
	type(var_entry_t), intent(in) :: var
	flag = var%is_known
	end function var_entry_is_known

	function var_entry_get_lval (var) result (lval)
	logical :: lval
	type(var_entry_t), intent(in) :: var
	lval = var%lval
	end function var_entry_get_lval

	function var_entry_get_ival (var) result (ival)
	integer :: ival
	type(var_entry_t), intent(in) :: var
	ival = var%ival
	end function var_entry_get_ival

	function var_entry_get_rval (var) result (rval)
	real(default) :: rval
	type(var_entry_t), intent(in) :: var
	rval = var%rval
	end function var_entry_get_rval

	function var_entry_get_cval (var) result (cval)
	complex(default) :: cval
	type(var_entry_t), intent(in) :: var
	cval = var%cval
	end function var_entry_get_cval

	function var_entry_get_aval (var) result (aval)
	type(pdg_array_t) :: aval
	type(var_entry_t), intent(in) :: var
	aval = var%aval
	end function var_entry_get_aval

	function var_entry_get_pval (var) result (pval)
	type(subevt_t) :: pval
	type(var_entry_t), intent(in) :: var
	pval = var%pval
	end function var_entry_get_pval

	function var_entry_get_sval (var) result (sval)
	type(string_t) :: sval
	type(var_entry_t), intent(in) :: var
	sval = var%sval
	end function var_entry_get_sval

	@ %def var_entry_get_lval
	@ %def var_entry_get_ival
	@ %def var_entry_get_rval
	@ %def var_entry_get_cval
	@ %def var_entry_get_aval
	@ %def var_entry_get_pval
	@ %def var_entry_get_sval
	@ Return pointers to components.
	<<Variables: procedures>>=
	function var_entry_get_known_ptr (var) result (ptr)
	logical, pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%is_known
	end function var_entry_get_known_ptr

	function var_entry_get_lval_ptr (var) result (ptr)
	logical, pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%lval
	end function var_entry_get_lval_ptr

	function var_entry_get_ival_ptr (var) result (ptr)
	integer, pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%ival
	end function var_entry_get_ival_ptr

	function var_entry_get_rval_ptr (var) result (ptr)
	real(default), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%rval
	end function var_entry_get_rval_ptr

	function var_entry_get_cval_ptr (var) result (ptr)
	complex(default), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%cval
	end function var_entry_get_cval_ptr

	function var_entry_get_pval_ptr (var) result (ptr)
	type(subevt_t), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%pval
	end function var_entry_get_pval_ptr

	function var_entry_get_aval_ptr (var) result (ptr)
	type(pdg_array_t), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%aval
	end function var_entry_get_aval_ptr

	function var_entry_get_sval_ptr (var) result (ptr)
	type(string_t), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%sval
	end function var_entry_get_sval_ptr

	@ %def var_entry_get_known_ptr
	@ %def var_entry_get_lval_ptr var_entry_get_ival_ptr var_entry_get_rval_ptr
	@ %def var_entry_get_cval_ptr var_entry_get_aval_ptr var_entry_get_pval_ptr
	@ %def var_entry_get_sval_ptr
	@ Furthermore,
	<<Variables: procedures>>=
	function var_entry_get_prt1_ptr (var) result (ptr)
	type(prt_t), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%prt1
	end function var_entry_get_prt1_ptr

	function var_entry_get_prt2_ptr (var) result (ptr)
	type(prt_t), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%prt2
	end function var_entry_get_prt2_ptr

	@ %def var_entry_get_prt1_ptr
	@ %def var_entry_get_prt2_ptr
	@ Subroutines might be safer than functions for procedure pointer transfer.
	<<Variables: procedures>>=
	subroutine var_entry_assign_obs1_int_ptr (ptr, var)
	procedure(obs_unary_int), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%obs1_int
	end subroutine var_entry_assign_obs1_int_ptr

	subroutine var_entry_assign_obs1_real_ptr (ptr, var)
	procedure(obs_unary_real), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%obs1_real
	end subroutine var_entry_assign_obs1_real_ptr

	subroutine var_entry_assign_obs2_int_ptr (ptr, var)
	procedure(obs_binary_int), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%obs2_int
	end subroutine var_entry_assign_obs2_int_ptr

	subroutine var_entry_assign_obs2_real_ptr (ptr, var)
	procedure(obs_binary_real), pointer :: ptr
	type(var_entry_t), intent(in), target :: var
	ptr => var%obs2_real
	end subroutine var_entry_assign_obs2_real_ptr

	@ %def var_entry_assign_obs1_int_ptr var_entry_assign_obs1_real_ptr
	@ %def var_entry_assign_obs2_int_ptr var_entry_assign_obs2_real_ptr
	@
	\subsection{Setting values}
	Undefine the value.
	<<Variables: procedures>>=
	subroutine var_entry_clear_value (var)
	type(var_entry_t), intent(inout) :: var
	var%is_known = .false.
	end subroutine var_entry_clear_value

	@ %def var_entry_clear_value
	<<Variables: procedures>>=
	recursive subroutine var_entry_set_log &
	(var, lval, is_known, verbose, model_name)
	type(var_entry_t), intent(inout) :: var
	logical, intent(in) :: lval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: verbose
	type(string_t), intent(in), optional :: model_name
	integer :: u
	u = logfile_unit ()
	var%lval = lval
	var%is_known = is_known
	var%is_defined = .true.
	if (present (verbose)) then
	if (verbose) then
	call var_entry_write (var, model_name=model_name)
	call var_entry_write (var, model_name=model_name, unit=u)
	if (u >= 0) flush (u)
	end if
	end if
	end subroutine var_entry_set_log

	recursive subroutine var_entry_set_int &
	(var, ival, is_known, verbose, model_name)
	type(var_entry_t), intent(inout) :: var
	integer, intent(in) :: ival
	logical, intent(in) :: is_known
	logical, intent(in), optional :: verbose
	type(string_t), intent(in), optional :: model_name
	integer :: u
	u = logfile_unit ()
	var%ival = ival
	var%is_known = is_known
	var%is_defined = .true.
	if (present (verbose)) then
	if (verbose) then
	call var_entry_write (var, model_name=model_name)
	call var_entry_write (var, model_name=model_name, unit=u)
	if (u >= 0) flush (u)
	end if
	end if
	end subroutine var_entry_set_int

	recursive subroutine var_entry_set_real &
	(var, rval, is_known, verbose, model_name, pacified)
	type(var_entry_t), intent(inout) :: var
	real(default), intent(in) :: rval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: verbose, pacified
	type(string_t), intent(in), optional :: model_name
	integer :: u
	u = logfile_unit ()
	var%rval = rval
	var%is_known = is_known
	var%is_defined = .true.
	if (present (verbose)) then
	if (verbose) then
	call var_entry_write &
	(var, model_name=model_name, pacified = pacified)
	call var_entry_write &
	(var, model_name=model_name, unit=u, pacified = pacified)
	if (u >= 0) flush (u)
	end if
	end if
	end subroutine var_entry_set_real

	recursive subroutine var_entry_set_cmplx &
	(var, cval, is_known, verbose, model_name, pacified)
	type(var_entry_t), intent(inout) :: var
	complex(default), intent(in) :: cval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: verbose, pacified
	type(string_t), intent(in), optional :: model_name
	integer :: u
	u = logfile_unit ()
	var%cval = cval
	var%is_known = is_known
	var%is_defined = .true.
	if (present (verbose)) then
	if (verbose) then
	call var_entry_write &
	(var, model_name=model_name, pacified = pacified)
	call var_entry_write &
	(var, model_name=model_name, unit=u, pacified = pacified)
	if (u >= 0) flush (u)
	end if
	end if
	end subroutine var_entry_set_cmplx

	recursive subroutine var_entry_set_pdg_array &
	(var, aval, is_known, verbose, model_name)
	type(var_entry_t), intent(inout) :: var
	type(pdg_array_t), intent(in) :: aval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: verbose
	type(string_t), intent(in), optional :: model_name
	integer :: u
	u = logfile_unit ()
	var%aval = aval
	var%is_known = is_known
	var%is_defined = .true.
	if (present (verbose)) then
	if (verbose) then
	call var_entry_write (var, model_name=model_name)
	call var_entry_write (var, model_name=model_name, unit=u)
	if (u >= 0) flush (u)
	end if
	end if
	end subroutine var_entry_set_pdg_array

	recursive subroutine var_entry_set_subevt &
	(var, pval, is_known, verbose, model_name)
	type(var_entry_t), intent(inout) :: var
	type(subevt_t), intent(in) :: pval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: verbose
	type(string_t), intent(in), optional :: model_name
	integer :: u
	u = logfile_unit ()
	var%pval = pval
	var%is_known = is_known
	var%is_defined = .true.
	if (present (verbose)) then
	if (verbose) then
	call var_entry_write (var, model_name=model_name)
	call var_entry_write (var, model_name=model_name, unit=u)
	if (u >= 0) flush (u)
	end if
	end if
	end subroutine var_entry_set_subevt

	recursive subroutine var_entry_set_string &
	(var, sval, is_known, verbose, model_name)
	type(var_entry_t), intent(inout) :: var
	type(string_t), intent(in) :: sval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: verbose
	type(string_t), intent(in), optional :: model_name
	integer :: u
	u = logfile_unit ()
	var%sval = sval
	var%is_known = is_known
	var%is_defined = .true.
	if (present (verbose)) then
	if (verbose) then
	call var_entry_write (var, model_name=model_name)
	call var_entry_write (var, model_name=model_name, unit=u)
	if (u >= 0) flush (u)
	end if
	end if
	end subroutine var_entry_set_string

	@ %def var_entry_set_log
	@ %def var_entry_set_int
	@ %def var_entry_set_real
	@ %def var_entry_set_cmplx
	@ %def var_entry_set_pdg_array
	@ %def var_entry_set_subevt
	@ %def var_entry_set_string
	@
	<<Variables: public>>=
	public :: var_entry_set_description
	<<Variables: procedures>>=
	pure subroutine var_entry_set_description (var_entry, description)
	type(var_entry_t), intent(inout) :: var_entry
	type(string_t), intent(in) :: description
	var_entry%description = description
	end subroutine var_entry_set_description

	@ %def var_entry_set_description
	@
	\subsection{Copies and pointer variables}
	Initialize an entry with a copy of an existing variable entry. The
	copy is physically allocated with the same type as the original.
	<<Variables: procedures>>=
	subroutine var_entry_init_copy (var, original, user)
	type(var_entry_t), intent(out) :: var
	type(var_entry_t), intent(in), target :: original
	logical, intent(in), optional :: user
	type(string_t) :: name
	logical :: intrinsic
	name = var_entry_get_name (original)
	intrinsic = original%is_intrinsic
	select case (original%type)
	case (V_LOG)
	call var_entry_init_log (var, name, intrinsic=intrinsic, user=user)
	case (V_INT)
	call var_entry_init_int (var, name, intrinsic=intrinsic, user=user)
	case (V_REAL)
	call var_entry_init_real (var, name, intrinsic=intrinsic, user=user)
	case (V_CMPLX)
	call var_entry_init_cmplx (var, name, intrinsic=intrinsic, user=user)
	case (V_SEV)
	call var_entry_init_subevt (var, name, intrinsic=intrinsic, user=user)
	case (V_PDG)
	call var_entry_init_pdg_array (var, name, intrinsic=intrinsic, user=user)
	case (V_STR)
	call var_entry_init_string (var, name, intrinsic=intrinsic, user=user)
	end select
	end subroutine var_entry_init_copy

	@ %def var_entry_init_copy
	@ Copy the value of an entry. The target variable entry must be initialized
	correctly.
	<<Variables: procedures>>=
	subroutine var_entry_copy_value (var, original)
	type(var_entry_t), intent(inout) :: var
	type(var_entry_t), intent(in), target :: original
	if (var_entry_is_known (original)) then
	select case (original%type)
	case (V_LOG)
	call var_entry_set_log (var, var_entry_get_lval (original), .true.)
	case (V_INT)
	call var_entry_set_int (var, var_entry_get_ival (original), .true.)
	case (V_REAL)
	call var_entry_set_real (var, var_entry_get_rval (original), .true.)
	case (V_CMPLX)
	call var_entry_set_cmplx (var, var_entry_get_cval (original), .true.)
	case (V_SEV)
	call var_entry_set_subevt (var, var_entry_get_pval (original), .true.)
	case (V_PDG)
	call var_entry_set_pdg_array (var, var_entry_get_aval (original), .true.)
	case (V_STR)
	call var_entry_set_string (var, var_entry_get_sval (original), .true.)
	end select
	else
	call var_entry_clear (var)
	end if
	end subroutine var_entry_copy_value

	@ %def var_entry_copy_value
	@
	\subsection{Variable lists}
	\subsubsection{The type}
	Variable lists can be linked together. No initializer needed.
	They are deleted separately.
	<<Variables: public>>=
	public :: var_list_t
	<<Variables: types>>=
	type, extends (vars_t) :: var_list_t
	private
	type(var_entry_t), pointer :: first => null ()
	type(var_entry_t), pointer :: last => null ()
	type(var_list_t), pointer :: next => null ()
	contains
	<<Variables: var list: TBP>>
	end type var_list_t

	@ %def var_list_t
	@
	\subsubsection{Constructors}
	Implementation of the [[link]] deferred method. The implementation
	restricts itself to var lists of the same type. We might need to
	relax this constraint.
	<<Variables: var list: TBP>>=
	procedure :: link => var_list_link
	<<Variables: procedures>>=
	subroutine var_list_link (vars, target_vars)
	class(var_list_t), intent(inout) :: vars
	class(vars_t), intent(in), target :: target_vars
	select type (target_vars)
	type is (var_list_t)
	vars%next => target_vars
	class default
	call msg_bug ("var_list_link: unsupported target type")
	end select
	end subroutine var_list_link

	@ %def var_list_link
	@ Append a new entry to an existing list.
	<<Variables: procedures>>=
	subroutine var_list_append (var_list, var, verbose)
	type(var_list_t), intent(inout), target :: var_list
	type(var_entry_t), intent(inout), target :: var
	logical, intent(in), optional :: verbose
	if (associated (var_list%last)) then
	var%previous => var_list%last
	var_list%last%next => var
	else
	var%previous => null ()
	var_list%first => var
	end if
	var_list%last => var
	if (present (verbose)) then
	if (verbose) call var_entry_write (var)
	end if
	end subroutine var_list_append

	@ %def var_list_append
	@ Sort a list.
	<<Variables: var list: TBP>>=
	procedure :: sort => var_list_sort
	<<Variables: procedures>>=
	subroutine var_list_sort (var_list)
	class(var_list_t), intent(inout) :: var_list
	type(var_entry_t), pointer :: var, previous
	if (associated (var_list%first)) then
	var => var_list%first
	do while (associated (var))
	previous => var%previous
	do while (associated (previous))
	if (larger_var (previous, var)) then
	call var_list%swap_with_next (previous)
	end if
	previous => previous%previous
	end do
	var => var%next
	end do
	end if
	end subroutine var_list_sort

	@ %def var_list_sort
	@
	<<Variables: procedures>>=
	pure function larger_var (var1, var2) result (larger)
	logical :: larger
	type(var_entry_t), intent(in) :: var1, var2
	type(string_t) :: str1, str2
	str1 = replace (var1%name, "?", "")
	str1 = replace (str1, "$", "")
	str2 = replace (var2%name, "?", "")
	str2 = replace (str2, "$", "")
	larger = str1 > str2
	end function larger_var

	@ %def larger_var
	@
	<<Variables: var list: TBP>>=
	procedure :: get_previous => var_list_get_previous
	<<Variables: procedures>>=
	function var_list_get_previous (var_list, var_entry) result (previous)
	type(var_entry_t), pointer :: previous
	class(var_list_t), intent(in) :: var_list
	type(var_entry_t), intent(in) :: var_entry
	previous => var_list%first
	if (previous%name == var_entry%name) then
	previous => null ()
	else
	do while (associated (previous))
	if (previous%next%name == var_entry%name) exit
	previous => previous%next
	end do
	end if
	end function var_list_get_previous

	@ %def var_list_get_previous
	@
	<<Variables: var list: TBP>>=
	procedure :: swap_with_next => var_list_swap_with_next
	<<Variables: procedures>>=
	subroutine var_list_swap_with_next (var_list, var_entry)
	class(var_list_t), intent(inout) :: var_list
	type(var_entry_t), intent(in) :: var_entry
	type(var_entry_t), pointer :: previous, this, next, next_next
	previous => var_list%get_previous (var_entry)
	if (.not. associated (previous)) then
	this => var_list%first
	else
	this => previous%next
	end if
	next => this%next
	next_next => next%next
	if (associated (previous)) then
	previous%next => next
	next%previous => previous
	else
	var_list%first => next
	next%previous => null ()
	end if
	this%next => next_next
	if (associated (next_next)) then
	next_next%previous => this
	end if
	next%next => this
	this%previous => next
	if (.not. associated (next%next)) then
	var_list%last => next
	end if
	end subroutine var_list_swap_with_next

	@ %def var_list_swap_with_next
	@ Public methods for expanding the variable list (as subroutines)
	<<Variables: var list: TBP>>=
	generic :: append_log => var_list_append_log_s, var_list_append_log_c
	procedure, private :: var_list_append_log_s
	procedure, private :: var_list_append_log_c
	generic :: append_int => var_list_append_int_s, var_list_append_int_c
	procedure, private :: var_list_append_int_s
	procedure, private :: var_list_append_int_c
	generic :: append_real => var_list_append_real_s, var_list_append_real_c
	procedure, private :: var_list_append_real_s
	procedure, private :: var_list_append_real_c
	generic :: append_cmplx => var_list_append_cmplx_s, var_list_append_cmplx_c
	procedure, private :: var_list_append_cmplx_s
	procedure, private :: var_list_append_cmplx_c
	generic :: append_subevt => var_list_append_subevt_s, var_list_append_subevt_c
	procedure, private :: var_list_append_subevt_s
	procedure, private :: var_list_append_subevt_c
	generic :: append_pdg_array => var_list_append_pdg_array_s, var_list_append_pdg_array_c
	procedure, private :: var_list_append_pdg_array_s
	procedure, private :: var_list_append_pdg_array_c
	generic :: append_string => var_list_append_string_s, var_list_append_string_c
	procedure, private :: var_list_append_string_s
	procedure, private :: var_list_append_string_c
	<<Variables: public>>=
	public :: var_list_append_log
	public :: var_list_append_int
	public :: var_list_append_real
	public :: var_list_append_cmplx
	public :: var_list_append_subevt
	public :: var_list_append_pdg_array
	public :: var_list_append_string
	<<Variables: interfaces>>=
	interface var_list_append_log
	module procedure var_list_append_log_s
	module procedure var_list_append_log_c
	end interface
	interface var_list_append_int
	module procedure var_list_append_int_s
	module procedure var_list_append_int_c
	end interface
	interface var_list_append_real
	module procedure var_list_append_real_s
	module procedure var_list_append_real_c
	end interface
	interface var_list_append_cmplx
	module procedure var_list_append_cmplx_s
	module procedure var_list_append_cmplx_c
	end interface
	interface var_list_append_subevt
	module procedure var_list_append_subevt_s
	module procedure var_list_append_subevt_c
	end interface
	interface var_list_append_pdg_array
	module procedure var_list_append_pdg_array_s
	module procedure var_list_append_pdg_array_c
	end interface
	interface var_list_append_string
	module procedure var_list_append_string_s
	module procedure var_list_append_string_c
	end interface
	<<Variables: procedures>>=
	subroutine var_list_append_log_s &
	(var_list, name, lval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	logical, intent(in), optional :: lval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_log (var, name, lval, intrinsic, user)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_log_s

	subroutine var_list_append_int_s &
	(var_list, name, ival, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	integer, intent(in), optional :: ival
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_int (var, name, ival, intrinsic, user)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_int_s

	subroutine var_list_append_real_s &
	(var_list, name, rval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	real(default), intent(in), optional :: rval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_real (var, name, rval, intrinsic, user)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_real_s

	subroutine var_list_append_cmplx_s &
	(var_list, name, cval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	complex(default), intent(in), optional :: cval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_cmplx (var, name, cval, intrinsic, user)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_cmplx_s

	subroutine var_list_append_subevt_s &
	(var_list, name, pval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	type(subevt_t), intent(in), optional :: pval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_subevt (var, name, pval, intrinsic, user)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_subevt_s

	subroutine var_list_append_pdg_array_s &
	(var_list, name, aval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	type(pdg_array_t), intent(in), optional :: aval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_pdg_array (var, name, aval, intrinsic, user)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_pdg_array_s

	subroutine var_list_append_string_s &
	(var_list, name, sval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	type(string_t), intent(in), optional :: sval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_string (var, name, sval, intrinsic, user)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_string_s

	subroutine var_list_append_log_c &
	(var_list, name, lval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	character(*), intent(in) :: name
	logical, intent(in), optional :: lval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	call var_list_append_log_s &
	(var_list, var_str (name), lval, locked, verbose, &
	intrinsic, user, description)
	end subroutine var_list_append_log_c

	subroutine var_list_append_int_c &
	(var_list, name, ival, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	character(*), intent(in) :: name
	integer, intent(in), optional :: ival
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	call var_list_append_int_s &
	(var_list, var_str (name), ival, locked, verbose, &
	intrinsic, user, description)
	end subroutine var_list_append_int_c

	subroutine var_list_append_real_c &
	(var_list, name, rval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	character(*), intent(in) :: name
	real(default), intent(in), optional :: rval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	call var_list_append_real_s &
	(var_list, var_str (name), rval, locked, verbose, &
	intrinsic, user, description)
	end subroutine var_list_append_real_c

	subroutine var_list_append_cmplx_c &
	(var_list, name, cval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	character(*), intent(in) :: name
	complex(default), intent(in), optional :: cval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	call var_list_append_cmplx_s &
	(var_list, var_str (name), cval, locked, verbose, &
	intrinsic, user, description)
	end subroutine var_list_append_cmplx_c

	subroutine var_list_append_subevt_c &
	(var_list, name, pval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	character(*), intent(in) :: name
	type(subevt_t), intent(in), optional :: pval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	call var_list_append_subevt_s &
	(var_list, var_str (name), pval, locked, verbose, &
	intrinsic, user, description)
	end subroutine var_list_append_subevt_c

	subroutine var_list_append_pdg_array_c &
	(var_list, name, aval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	character(*), intent(in) :: name
	type(pdg_array_t), intent(in), optional :: aval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	call var_list_append_pdg_array_s &
	(var_list, var_str (name), aval, locked, verbose, &
	intrinsic, user, description)
	end subroutine var_list_append_pdg_array_c

	subroutine var_list_append_string_c &
	(var_list, name, sval, locked, verbose, intrinsic, user, description)
	class(var_list_t), intent(inout) :: var_list
	character(*), intent(in) :: name
	character(*), intent(in), optional :: sval
	logical, intent(in), optional :: locked, verbose, intrinsic, user
	type(string_t), intent(in), optional :: description
	if (present (sval)) then
	call var_list_append_string_s &
	(var_list, var_str (name), var_str (sval), &
	locked, verbose, intrinsic, user, description)
	else
	call var_list_append_string_s &
	(var_list, var_str (name), &
	locked=locked, verbose=verbose, intrinsic=intrinsic, &
	user=user, description=description)
	end if
	end subroutine var_list_append_string_c

	@ %def var_list_append_log
	@ %def var_list_append_int
	@ %def var_list_append_real
	@ %def var_list_append_cmplx
	@ %def var_list_append_subevt
	@ %def var_list_append_pdg_array
	@ %def var_list_append_string
	<<Variables: public>>=
	public :: var_list_append_log_ptr
	public :: var_list_append_int_ptr
	public :: var_list_append_real_ptr
	public :: var_list_append_cmplx_ptr
	public :: var_list_append_pdg_array_ptr
	public :: var_list_append_subevt_ptr
	public :: var_list_append_string_ptr
	<<Variables: var list: TBP>>=
	procedure :: append_log_ptr => var_list_append_log_ptr
	procedure :: append_int_ptr => var_list_append_int_ptr
	procedure :: append_real_ptr => var_list_append_real_ptr
	procedure :: append_cmplx_ptr => var_list_append_cmplx_ptr
	procedure :: append_pdg_array_ptr => var_list_append_pdg_array_ptr
	procedure :: append_subevt_ptr => var_list_append_subevt_ptr
	procedure :: append_string_ptr => var_list_append_string_ptr
	<<Variables: procedures>>=
	subroutine var_list_append_log_ptr &
	(var_list, name, lval, is_known, locked, verbose, intrinsic, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	logical, intent(in), target :: lval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: locked, verbose, intrinsic
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_log_ptr (var, name, lval, is_known, intrinsic)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_log_ptr

	subroutine var_list_append_int_ptr &
	(var_list, name, ival, is_known, locked, verbose, intrinsic, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	integer, intent(in), target :: ival
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: locked, verbose, intrinsic
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_int_ptr (var, name, ival, is_known, intrinsic)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_int_ptr

	subroutine var_list_append_real_ptr &
	(var_list, name, rval, is_known, locked, verbose, intrinsic, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	real(default), intent(in), target :: rval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: locked, verbose, intrinsic
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_real_ptr (var, name, rval, is_known, intrinsic)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_real_ptr

	subroutine var_list_append_cmplx_ptr &
	(var_list, name, cval, is_known, locked, verbose, intrinsic, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	complex(default), intent(in), target :: cval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: locked, verbose, intrinsic
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_cmplx_ptr (var, name, cval, is_known, intrinsic)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_cmplx_ptr

	subroutine var_list_append_pdg_array_ptr &
	(var_list, name, aval, is_known, locked, verbose, intrinsic, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	type(pdg_array_t), intent(in), target :: aval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: locked, verbose, intrinsic
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_pdg_array_ptr (var, name, aval, is_known, intrinsic)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_pdg_array_ptr

	subroutine var_list_append_subevt_ptr &
	(var_list, name, pval, is_known, locked, verbose, intrinsic, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	type(subevt_t), intent(in), target :: pval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: locked, verbose, intrinsic
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_subevt_ptr (var, name, pval, is_known, intrinsic)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_subevt_ptr

	subroutine var_list_append_string_ptr &
	(var_list, name, sval, is_known, locked, verbose, intrinsic, description)
	class(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	type(string_t), intent(in), target :: sval
	logical, intent(in), target :: is_known
	logical, intent(in), optional :: locked, verbose, intrinsic
	type(string_t), intent(in), optional :: description
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_string_ptr (var, name, sval, is_known, intrinsic)
	if (present (description)) call var_entry_set_description (var, description)
	if (present (locked)) call var_entry_lock (var, locked)
	call var_list_append (var_list, var, verbose)
	end subroutine var_list_append_string_ptr

	@ %def var_list_append_log_ptr
	@ %def var_list_append_int_ptr
	@ %def var_list_append_real_ptr
	@ %def var_list_append_cmplx_ptr
	@ %def var_list_append_pdg_array_ptr
	@ %def var_list_append_subevt_ptr
	@
	\subsubsection{Finalizer}
	Finalize, delete the list entry by entry. The link itself is kept
	intact. Follow link and delete recursively only if requested
	explicitly.
	<<Variables: var list: TBP>>=
	procedure :: final => var_list_final
	<<Variables: procedures>>=
	recursive subroutine var_list_final (vars, follow_link)
	class(var_list_t), intent(inout) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	vars%last => null ()
	do while (associated (vars%first))
	var => vars%first
	vars%first => var%next
	call var_entry_final (var)
	deallocate (var)
	end do
	if (present (follow_link)) then
	if (follow_link) then
	if (associated (vars%next)) then
	call vars%next%final (follow_link)
	deallocate (vars%next)
	end if
	end if
	end if
	end subroutine var_list_final

	@ %def var_list_final
	@
	\subsubsection{Output}
	Show variable list with precise control over options. E.g.,
	show only variables of a certain type.

	Many options, thus not an ordinary [[write]] method.
	<<Variables: public>>=
	public :: var_list_write
	<<Variables: var list: TBP>>=
	procedure :: write => var_list_write
	<<Variables: procedures>>=
	recursive subroutine var_list_write &
	(var_list, unit, follow_link, only_type, prefix, model_name, &
	intrinsic, pacified, descriptions, ascii_output)
	class(var_list_t), intent(in), target :: var_list
	integer, intent(in), optional :: unit
	logical, intent(in), optional :: follow_link
	integer, intent(in), optional :: only_type
	character(*), intent(in), optional :: prefix
	type(string_t), intent(in), optional :: model_name
	logical, intent(in), optional :: intrinsic
	logical, intent(in), optional :: pacified
	logical, intent(in), optional :: descriptions
	logical, intent(in), optional :: ascii_output
	type(var_entry_t), pointer :: var
	integer :: u, length
	logical :: write_this, write_next
	u = given_output_unit (unit); if (u < 0) return
	if (present (prefix)) length = len (prefix)
	var => var_list%first
	if (associated (var)) then
	do while (associated (var))
	if (present (only_type)) then
	write_this = only_type == var%type
	else
	write_this = .true.
	end if
	if (write_this .and. present (prefix)) then
	if (prefix /= extract (var%name, 1, length)) &
	write_this = .false.
	end if
	if (write_this) then
	call var_entry_write &
	(var, unit, model_name=model_name, &
	intrinsic=intrinsic, pacified=pacified, &
	descriptions=descriptions, ascii_output=ascii_output)
	end if
	var => var%next
	end do
	end if
	if (present (follow_link)) then
	write_next = follow_link .and. associated (var_list%next)
	else
	write_next = associated (var_list%next)
	end if
	if (write_next) then
	call var_list_write (var_list%next, &
	unit, follow_link, only_type, prefix, model_name, &
	intrinsic, pacified)
	end if
	end subroutine var_list_write

	@ %def var_list_write
	@ Write only a certain variable.
	<<Variables: public>>=
	public :: var_list_write_var
	<<Variables: var list: TBP>>=
	procedure :: write_var => var_list_write_var
	<<Variables: procedures>>=
	recursive subroutine var_list_write_var &
	(var_list, name, unit, type, follow_link, &
	model_name, pacified, defined, descriptions, ascii_output)
	class(var_list_t), intent(in), target :: var_list
	type(string_t), intent(in) :: name
	integer, intent(in), optional :: unit
	integer, intent(in), optional :: type
	logical, intent(in), optional :: follow_link
	type(string_t), intent(in), optional :: model_name
	logical, intent(in), optional :: pacified
	logical, intent(in), optional :: defined
	logical, intent(in), optional :: descriptions
	logical, intent(in), optional :: ascii_output
	type(var_entry_t), pointer :: var
	integer :: u
	u = given_output_unit (unit); if (u < 0) return
	var => var_list_get_var_ptr &
	(var_list, name, type, follow_link=follow_link, defined=defined)
	if (associated (var)) then
	call var_entry_write &
	(var, unit, model_name = model_name, &
	pacified = pacified, &
	descriptions=descriptions, ascii_output=ascii_output)
	else
	write (u, "(A)") char (name) // " = [undefined]"
	end if
	end subroutine var_list_write_var

	@ %def var_list_write_var
	@
	\subsection{Tools}
	Return a pointer to the variable list linked to by the current one.
	<<Variables: procedures>>=
	function var_list_get_next_ptr (var_list) result (next_ptr)
	type(var_list_t), pointer :: next_ptr
	type(var_list_t), intent(in) :: var_list
	next_ptr => var_list%next
	end function var_list_get_next_ptr

	@ %def var_list_get_next_ptr
	@ Used by [[eval_trees]]:
	Return a pointer to the variable with the requested name. If no such
	name exists, return a null pointer. In that case, try the next list
	if present, unless [[follow_link]] is unset. If [[defined]] is set, ignore
	entries that exist but are undefined.
	<<Variables: public>>=
	public :: var_list_get_var_ptr
	<<Variables: procedures>>=
	recursive function var_list_get_var_ptr &
	(var_list, name, type, follow_link, defined) result (var)
	type(var_entry_t), pointer :: var
	type(var_list_t), intent(in), target :: var_list
	type(string_t), intent(in) :: name
	integer, intent(in), optional :: type
	logical, intent(in), optional :: follow_link, defined
	logical :: ignore_undef, search_next
	ignore_undef = .true.; if (present (defined)) ignore_undef = .not. defined
	var => var_list%first
	if (present (type)) then
	do while (associated (var))
	if (var%type == type) then
	if (var%name == name) then
	if (ignore_undef .or. var%is_defined) return
	end if
	end if
	var => var%next
	end do
	else
	do while (associated (var))
	if (var%name == name) then
	if (ignore_undef .or. var%is_defined) return
	end if
	var => var%next
	end do
	end if
	search_next = associated (var_list%next)
	if (present (follow_link)) &
	search_next = search_next .and. follow_link
	if (search_next) &
	var => var_list_get_var_ptr &
	(var_list%next, name, type, defined=defined)
	end function var_list_get_var_ptr

	@ %def var_list_get_var_ptr
	@ Return the variable type
	<<Variables: var list: TBP>>=
	procedure :: get_type => var_list_get_type
	<<Variables: procedures>>=
	function var_list_get_type (var_list, name, follow_link) result (type)
	class(var_list_t), intent(in), target :: var_list
	type(string_t), intent(in) :: name
	logical, intent(in), optional :: follow_link
	integer :: type
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, follow_link=follow_link)
	if (associated (var)) then
	type = var%type
	else
	type = V_NONE
	end if
	end function var_list_get_type

	@ %def var_list_get_type
	@ Return true if the variable exists in the current list.
	<<Variables: var list: TBP>>=
	procedure :: contains => var_list_exists
	<<Variables: procedures>>=
	function var_list_exists (vars, name, follow_link) result (lval)
	logical :: lval
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (vars, name, follow_link=follow_link)
	lval = associated (var)
	end function var_list_exists

	@ %def var_list_exists
	@ Return true if the variable is declared as intrinsic. (This is not a
	property of the abstract [[vars_t]] type, and therefore the method is
	not inherited.)
	<<Variables: var list: TBP>>=
	procedure :: is_intrinsic => var_list_is_intrinsic
	<<Variables: procedures>>=
	function var_list_is_intrinsic (vars, name, follow_link) result (lval)
	logical :: lval
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (vars, name, follow_link=follow_link)
	if (associated (var)) then
	lval = var%is_intrinsic
	else
	lval = .false.
	end if
	end function var_list_is_intrinsic

	@ %def var_list_is_intrinsic
	@ Return true if the value is known.
	<<Variables: var list: TBP>>=
	procedure :: is_known => var_list_is_known
	<<Variables: procedures>>=
	function var_list_is_known (vars, name, follow_link) result (lval)
	logical :: lval
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (vars, name, follow_link=follow_link)
	if (associated (var)) then
	lval = var%is_known
	else
	lval = .false.
	end if
	end function var_list_is_known

	@ %def var_list_is_known
	@ Return true if the value is locked. (This is not a
	property of the abstract [[vars_t]] type, and therefore the method is
	not inherited.)
	<<Variables: var list: TBP>>=
	procedure :: is_locked => var_list_is_locked
	<<Variables: procedures>>=
	function var_list_is_locked (vars, name, follow_link) result (lval)
	logical :: lval
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (vars, name, follow_link=follow_link)
	if (associated (var)) then
	lval = var_entry_is_locked (var)
	else
	lval = .false.
	end if
	end function var_list_is_locked

	@ %def var_list_is_locked
	@ Return several properties at once.
	<<Variables: var list: TBP>>=
	procedure :: get_var_properties => var_list_get_var_properties
	<<Variables: procedures>>=
	subroutine var_list_get_var_properties (vars, name, req_type, follow_link, &
	type, is_defined, is_known, is_locked)
	class(var_list_t), intent(in) :: vars
	type(string_t), intent(in) :: name
	integer, intent(in), optional :: req_type
	logical, intent(in), optional :: follow_link
	integer, intent(out), optional :: type
	logical, intent(out), optional :: is_defined, is_known, is_locked
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr &
	(vars, name, type=req_type, follow_link=follow_link)
	if (associated (var)) then
	if (present (type)) type = var_entry_get_type (var)
	if (present (is_defined)) is_defined = var_entry_is_defined (var)
	if (present (is_known)) is_known = var_entry_is_known (var)
	if (present (is_locked)) is_locked = var_entry_is_locked (var)
	else
	if (present (type)) type = V_NONE
	if (present (is_defined)) is_defined = .false.
	if (present (is_known)) is_known = .false.
	if (present (is_locked)) is_locked = .false.
	end if
	end subroutine var_list_get_var_properties

	@ %def var_list_get_var_properties
	@ Return the value, assuming that the type is correct. We consider only
	variable entries that have been [[defined]].

	For convenience, allow both variable and fixed-length (literal) strings.
	<<Variables: var list: TBP>>=
	procedure :: get_lval => var_list_get_lval
	procedure :: get_ival => var_list_get_ival
	procedure :: get_rval => var_list_get_rval
	procedure :: get_cval => var_list_get_cval
	procedure :: get_pval => var_list_get_pval
	procedure :: get_aval => var_list_get_aval
	procedure :: get_sval => var_list_get_sval
	<<Variables: procedures>>=
	function var_list_get_lval (vars, name, follow_link) result (lval)
	logical :: lval
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr &
	(vars, name, V_LOG, follow_link, defined=.true.)
	if (associated (var)) then
	if (var_has_value (var)) then
	lval = var%lval
	else
	lval = .false.
	end if
	else
	lval = .false.
	end if
	end function var_list_get_lval

	function var_list_get_ival (vars, name, follow_link) result (ival)
	integer :: ival
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr &
	(vars, name, V_INT, follow_link, defined=.true.)
	if (associated (var)) then
	if (var_has_value (var)) then
	ival = var%ival
	else
	ival = 0
	end if
	else
	ival = 0
	end if
	end function var_list_get_ival

	function var_list_get_rval (vars, name, follow_link) result (rval)
	real(default) :: rval
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr &
	(vars, name, V_REAL, follow_link, defined=.true.)
	if (associated (var)) then
	if (var_has_value (var)) then
	rval = var%rval
	else
	rval = 0
	end if
	else
	rval = 0
	end if
	end function var_list_get_rval

	function var_list_get_cval (vars, name, follow_link) result (cval)
	complex(default) :: cval
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr &
	(vars, name, V_CMPLX, follow_link, defined=.true.)
	if (associated (var)) then
	if (var_has_value (var)) then
	cval = var%cval
	else
	cval = 0
	end if
	else
	cval = 0
	end if
	end function var_list_get_cval

	function var_list_get_aval (vars, name, follow_link) result (aval)
	type(pdg_array_t) :: aval
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr &
	(vars, name, V_PDG, follow_link, defined=.true.)
	if (associated (var)) then
	if (var_has_value (var)) then
	aval = var%aval
	end if
	end if
	end function var_list_get_aval

	function var_list_get_pval (vars, name, follow_link) result (pval)
	type(subevt_t) :: pval
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr &
	(vars, name, V_SEV, follow_link, defined=.true.)
	if (associated (var)) then
	if (var_has_value (var)) then
	pval = var%pval
	end if
	end if
	end function var_list_get_pval

	function var_list_get_sval (vars, name, follow_link) result (sval)
	type(string_t) :: sval
	type(string_t), intent(in) :: name
	class(var_list_t), intent(in) :: vars
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr &
	(vars, name, V_STR, follow_link, defined=.true.)
	if (associated (var)) then
	if (var_has_value (var)) then
	sval = var%sval
	else
	sval = ""
	end if
	else
	sval = ""
	end if
	end function var_list_get_sval

	@ %def var_list_get_lval
	@ %def var_list_get_ival
	@ %def var_list_get_rval
	@ %def var_list_get_cval
	@ %def var_list_get_pval
	@ %def var_list_get_aval
	@ %def var_list_get_sval
	@ Check for a valid value, given a pointer. Issue error messages if invalid.
	<<Variables: procedures>>=
	function var_has_value (var) result (valid)
	logical :: valid
	type(var_entry_t), pointer :: var
	if (associated (var)) then
	if (var%is_known) then
	valid = .true.
	else
	call msg_error ("The value of variable '" // char (var%name) &
	// "' is unknown but must be known at this point.")
	valid = .false.
	end if
	else
	call msg_error ("Variable '" // char (var%name) &
	// "' is undefined but must have a known value at this point.")
	valid = .false.
	end if
	end function var_has_value

	@ %def var_has_value
	@ Return pointers instead of values, including a pointer to the
	[[known]] entry.
	<<Variables: var list: TBP>>=
	procedure :: get_lptr => var_list_get_lptr
	procedure :: get_iptr => var_list_get_iptr
	procedure :: get_rptr => var_list_get_rptr
	procedure :: get_cptr => var_list_get_cptr
	procedure :: get_aptr => var_list_get_aptr
	procedure :: get_pptr => var_list_get_pptr
	procedure :: get_sptr => var_list_get_sptr
	<<Variables: procedures>>=
	subroutine var_list_get_lptr (var_list, name, lptr, known)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	logical, pointer, intent(out) :: lptr
	logical, pointer, intent(out), optional :: known
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_LOG)
	if (associated (var)) then
	lptr => var_entry_get_lval_ptr (var)
	if (present (known)) known => var_entry_get_known_ptr (var)
	else
	lptr => null ()
	if (present (known)) known => null ()
	end if
	end subroutine var_list_get_lptr

	subroutine var_list_get_iptr (var_list, name, iptr, known)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	integer, pointer, intent(out) :: iptr
	logical, pointer, intent(out), optional :: known
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_INT)
	if (associated (var)) then
	iptr => var_entry_get_ival_ptr (var)
	if (present (known)) known => var_entry_get_known_ptr (var)
	else
	iptr => null ()
	if (present (known)) known => null ()
	end if
	end subroutine var_list_get_iptr

	subroutine var_list_get_rptr (var_list, name, rptr, known)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	real(default), pointer, intent(out) :: rptr
	logical, pointer, intent(out), optional :: known
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_REAL)
	if (associated (var)) then
	rptr => var_entry_get_rval_ptr (var)
	if (present (known)) known => var_entry_get_known_ptr (var)
	else
	rptr => null ()
	if (present (known)) known => null ()
	end if
	end subroutine var_list_get_rptr

	subroutine var_list_get_cptr (var_list, name, cptr, known)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	complex(default), pointer, intent(out) :: cptr
	logical, pointer, intent(out), optional :: known
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_CMPLX)
	if (associated (var)) then
	cptr => var_entry_get_cval_ptr (var)
	if (present (known)) known => var_entry_get_known_ptr (var)
	else
	cptr => null ()
	if (present (known)) known => null ()
	end if
	end subroutine var_list_get_cptr

	subroutine var_list_get_aptr (var_list, name, aptr, known)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	type(pdg_array_t), pointer, intent(out) :: aptr
	logical, pointer, intent(out), optional :: known
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_PDG)
	if (associated (var)) then
	aptr => var_entry_get_aval_ptr (var)
	if (present (known)) known => var_entry_get_known_ptr (var)
	else
	aptr => null ()
	if (present (known)) known => null ()
	end if
	end subroutine var_list_get_aptr

	subroutine var_list_get_pptr (var_list, name, pptr, known)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	type(subevt_t), pointer, intent(out) :: pptr
	logical, pointer, intent(out), optional :: known
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_SEV)
	if (associated (var)) then
	pptr => var_entry_get_pval_ptr (var)
	if (present (known)) known => var_entry_get_known_ptr (var)
	else
	pptr => null ()
	if (present (known)) known => null ()
	end if
	end subroutine var_list_get_pptr

	subroutine var_list_get_sptr (var_list, name, sptr, known)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	type(string_t), pointer, intent(out) :: sptr
	logical, pointer, intent(out), optional :: known
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_STR)
	if (associated (var)) then
	sptr => var_entry_get_sval_ptr (var)
	if (present (known)) known => var_entry_get_known_ptr (var)
	else
	sptr => null ()
	if (present (known)) known => null ()
	end if
	end subroutine var_list_get_sptr

	@ %def var_list_get_lptr
	@ %def var_list_get_iptr
	@ %def var_list_get_rptr
	@ %def var_list_get_cptr
	@ %def var_list_get_aptr
	@ %def var_list_get_pptr
	@ %def var_list_get_sptr
	@
	This bunch of methods handles the procedure-pointer cases.
	<<Variables: var list: TBP>>=
	procedure :: get_obs1_iptr => var_list_get_obs1_iptr
	procedure :: get_obs2_iptr => var_list_get_obs2_iptr
	procedure :: get_obs1_rptr => var_list_get_obs1_rptr
	procedure :: get_obs2_rptr => var_list_get_obs2_rptr
	<<Variables: procedures>>=
	subroutine var_list_get_obs1_iptr (var_list, name, obs1_iptr, p1)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	procedure(obs_unary_int), pointer, intent(out) :: obs1_iptr
	type(prt_t), pointer, intent(out) :: p1
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_OBS1_INT)
	if (associated (var)) then
	call var_entry_assign_obs1_int_ptr (obs1_iptr, var)
	p1 => var_entry_get_prt1_ptr (var)
	else
	obs1_iptr => null ()
	p1 => null ()
	end if
	end subroutine var_list_get_obs1_iptr

	subroutine var_list_get_obs2_iptr (var_list, name, obs2_iptr, p1, p2)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	procedure(obs_binary_int), pointer, intent(out) :: obs2_iptr
	type(prt_t), pointer, intent(out) :: p1, p2
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_OBS2_INT)
	if (associated (var)) then
	call var_entry_assign_obs2_int_ptr (obs2_iptr, var)
	p1 => var_entry_get_prt1_ptr (var)
	p2 => var_entry_get_prt2_ptr (var)
	else
	obs2_iptr => null ()
	p1 => null ()
	p2 => null ()
	end if
	end subroutine var_list_get_obs2_iptr

	subroutine var_list_get_obs1_rptr (var_list, name, obs1_rptr, p1)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	procedure(obs_unary_real), pointer, intent(out) :: obs1_rptr
	type(prt_t), pointer, intent(out) :: p1
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_OBS1_REAL)
	if (associated (var)) then
	call var_entry_assign_obs1_real_ptr (obs1_rptr, var)
	p1 => var_entry_get_prt1_ptr (var)
	else
	obs1_rptr => null ()
	p1 => null ()
	end if
	end subroutine var_list_get_obs1_rptr

	subroutine var_list_get_obs2_rptr (var_list, name, obs2_rptr, p1, p2)
	class(var_list_t), intent(in) :: var_list
	type(string_t), intent(in) :: name
	procedure(obs_binary_real), pointer, intent(out) :: obs2_rptr
	type(prt_t), pointer, intent(out) :: p1, p2
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_OBS2_REAL)
	if (associated (var)) then
	call var_entry_assign_obs2_real_ptr (obs2_rptr, var)
	p1 => var_entry_get_prt1_ptr (var)
	p2 => var_entry_get_prt2_ptr (var)
	else
	obs2_rptr => null ()
	p1 => null ()
	p2 => null ()
	end if
	end subroutine var_list_get_obs2_rptr

	@ %def var_list_get_obs1_iptr
	@ %def var_list_get_obs2_iptr
	@ %def var_list_get_obs1_rptr
	@ %def var_list_get_obs2_rptr
	@
	\subsection{Process Result Variables}
	These variables are associated to process (integration) runs and their
	results. Their names contain brackets (so they look like function
	evaluations), therefore we need to special-case them.
	<<Variables: public>>=
	public :: var_list_set_procvar_int
	public :: var_list_set_procvar_real
	<<Variables: procedures>>=
	subroutine var_list_set_procvar_int (var_list, proc_id, name, ival)
	type(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: proc_id
	type(string_t), intent(in) :: name
	integer, intent(in), optional :: ival
	type(string_t) :: var_name
	type(var_entry_t), pointer :: var
	var_name = name // "(" // proc_id // ")"
	var => var_list_get_var_ptr (var_list, var_name)
	if (.not. associated (var)) then
	call var_list%append_int (var_name, ival, intrinsic=.true.)
	else if (present (ival)) then
	call var_list%set_int (var_name, ival, is_known=.true.)
	end if
	end subroutine var_list_set_procvar_int

	subroutine var_list_set_procvar_real (var_list, proc_id, name, rval)
	type(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: proc_id
	type(string_t), intent(in) :: name
	real(default), intent(in), optional :: rval
	type(string_t) :: var_name
	type(var_entry_t), pointer :: var
	var_name = name // "(" // proc_id // ")"
	var => var_list_get_var_ptr (var_list, var_name)
	if (.not. associated (var)) then
	call var_list%append_real (var_name, rval, intrinsic=.true.)
	else if (present (rval)) then
	call var_list%set_real (var_name, rval, is_known=.true.)
	end if
	end subroutine var_list_set_procvar_real

	@ %def var_list_set_procvar_int
	@ %def var_list_set_procvar_real
	@
	\subsection{Observable initialization}
	Observables are formally treated as variables, which however are
	evaluated each time the observable is used. The arguments (pointers)
	to evaluate and the function are part of the variable-list entry.
	<<Variables: public>>=
	public :: var_list_append_obs1_iptr
	public :: var_list_append_obs2_iptr
	public :: var_list_append_obs1_rptr
	public :: var_list_append_obs2_rptr
	<<Variables: procedures>>=
	subroutine var_list_append_obs1_iptr (var_list, name, obs1_iptr, p1)
	type(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	procedure(obs_unary_int) :: obs1_iptr
	type(prt_t), intent(in), target :: p1
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_obs (var, name, V_OBS1_INT, p1)
	var%obs1_int => obs1_iptr
	call var_list_append (var_list, var)
	end subroutine var_list_append_obs1_iptr

	subroutine var_list_append_obs2_iptr (var_list, name, obs2_iptr, p1, p2)
	type(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	procedure(obs_binary_int) :: obs2_iptr
	type(prt_t), intent(in), target :: p1, p2
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_obs (var, name, V_OBS2_INT, p1, p2)
	var%obs2_int => obs2_iptr
	call var_list_append (var_list, var)
	end subroutine var_list_append_obs2_iptr

	subroutine var_list_append_obs1_rptr (var_list, name, obs1_rptr, p1)
	type(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	procedure(obs_unary_real) :: obs1_rptr
	type(prt_t), intent(in), target :: p1
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_obs (var, name, V_OBS1_REAL, p1)
	var%obs1_real => obs1_rptr
	call var_list_append (var_list, var)
	end subroutine var_list_append_obs1_rptr

	subroutine var_list_append_obs2_rptr (var_list, name, obs2_rptr, p1, p2)
	type(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	procedure(obs_binary_real) :: obs2_rptr
	type(prt_t), intent(in), target :: p1, p2
	type(var_entry_t), pointer :: var
	allocate (var)
	call var_entry_init_obs (var, name, V_OBS2_REAL, p1, p2)
	var%obs2_real => obs2_rptr
	call var_list_append (var_list, var)
	end subroutine var_list_append_obs2_rptr

	@ %def var_list_append_obs1_iptr
	@ %def var_list_append_obs2_iptr
	@ %def var_list_append_obs1_rptr
	@ %def var_list_append_obs2_rptr
	@ User observables: no pointer needs to be stored.
	<<Variables: public>>=
	public :: var_list_append_uobs_int
	public :: var_list_append_uobs_real
	<<Variables: procedures>>=
	subroutine var_list_append_uobs_int (var_list, name, p1, p2)
	type(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	type(prt_t), intent(in), target :: p1
	type(prt_t), intent(in), target, optional :: p2
	type(var_entry_t), pointer :: var
	allocate (var)
	if (present (p2)) then
	call var_entry_init_obs (var, name, V_UOBS2_INT, p1, p2)
	else
	call var_entry_init_obs (var, name, V_UOBS1_INT, p1)
	end if
	call var_list_append (var_list, var)
	end subroutine var_list_append_uobs_int

	subroutine var_list_append_uobs_real (var_list, name, p1, p2)
	type(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: name
	type(prt_t), intent(in), target :: p1
	type(prt_t), intent(in), target, optional :: p2
	type(var_entry_t), pointer :: var
	allocate (var)
	if (present (p2)) then
	call var_entry_init_obs (var, name, V_UOBS2_REAL, p1, p2)
	else
	call var_entry_init_obs (var, name, V_UOBS1_REAL, p1)
	end if
	call var_list_append (var_list, var)
	end subroutine var_list_append_uobs_real

	@ %def var_list_append_uobs_int
	@ %def var_list_append_uobs_real
	@
	\subsection{API for variable lists}
	Set a new value. If the variable holds a pointer, this pointer is
	followed, e.g., a model parameter is actually set. If [[ignore]] is
	set, do nothing if the variable does not exist. If [[verbose]] is
	set, echo the new value.

	Clear a variable (all variables), i.e., undefine the value.
	<<Variables: var list: TBP>>=
	procedure :: unset => var_list_clear
	<<Variables: procedures>>=
	subroutine var_list_clear (vars, name, follow_link)
	class(var_list_t), intent(inout) :: vars
	type(string_t), intent(in) :: name
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (vars, name, follow_link=follow_link)
	if (associated (var)) then
	call var_entry_clear (var)
	end if
	end subroutine var_list_clear

	@ %def var_list_clear
	@
	Setting the value, concise specific versions (implementing deferred TBP):
	<<Variables: var list: TBP>>=
	procedure :: set_ival => var_list_set_ival
	procedure :: set_rval => var_list_set_rval
	procedure :: set_cval => var_list_set_cval
	procedure :: set_lval => var_list_set_lval
	procedure :: set_sval => var_list_set_sval
	<<Variables: procedures>>=
	subroutine var_list_set_ival (vars, name, ival, follow_link)
	class(var_list_t), intent(inout) :: vars
	type(string_t), intent(in) :: name
	integer, intent(in) :: ival
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (vars, name, follow_link=follow_link)
	if (associated (var)) then
	call var_entry_set_int (var, ival, is_known=.true.)
	end if
	end subroutine var_list_set_ival

	subroutine var_list_set_rval (vars, name, rval, follow_link)
	class(var_list_t), intent(inout) :: vars
	type(string_t), intent(in) :: name
	real(default), intent(in) :: rval
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (vars, name, follow_link=follow_link)
	if (associated (var)) then
	call var_entry_set_real (var, rval, is_known=.true.)
	end if
	end subroutine var_list_set_rval

	subroutine var_list_set_cval (vars, name, cval, follow_link)
	class(var_list_t), intent(inout) :: vars
	type(string_t), intent(in) :: name
	complex(default), intent(in) :: cval
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (vars, name, follow_link=follow_link)
	if (associated (var)) then
	call var_entry_set_cmplx (var, cval, is_known=.true.)
	end if
	end subroutine var_list_set_cval

	subroutine var_list_set_lval (vars, name, lval, follow_link)
	class(var_list_t), intent(inout) :: vars
	type(string_t), intent(in) :: name
	logical, intent(in) :: lval
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (vars, name, follow_link=follow_link)
	if (associated (var)) then
	call var_entry_set_log (var, lval, is_known=.true.)
	end if
	end subroutine var_list_set_lval

	subroutine var_list_set_sval (vars, name, sval, follow_link)
	class(var_list_t), intent(inout) :: vars
	type(string_t), intent(in) :: name
	type(string_t), intent(in) :: sval
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (vars, name, follow_link=follow_link)
	if (associated (var)) then
	call var_entry_set_string (var, sval, is_known=.true.)
	end if
	end subroutine var_list_set_sval

	@ %def var_list_set_ival
	@ %def var_list_set_rval
	@ %def var_list_set_cval
	@ %def var_list_set_lval
	@ %def var_list_set_sval
	@
	Setting the value, verbose specific versions (as subroutines):
	<<Variables: var list: TBP>>=
	procedure :: set_log => var_list_set_log
	procedure :: set_int => var_list_set_int
	procedure :: set_real => var_list_set_real
	procedure :: set_cmplx => var_list_set_cmplx
	procedure :: set_subevt => var_list_set_subevt
	procedure :: set_pdg_array => var_list_set_pdg_array
	procedure :: set_string => var_list_set_string
	<<Variables: procedures>>=
	subroutine var_list_set_log &
	(var_list, name, lval, is_known, ignore, force, verbose, model_name)
	class(var_list_t), intent(inout), target :: var_list
	type(string_t), intent(in) :: name
	logical, intent(in) :: lval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: ignore, force, verbose
	type(string_t), intent(in), optional :: model_name
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_LOG)
	if (associated (var)) then
	if (.not. var_entry_is_locked (var, force)) then
	select case (var%type)
	case (V_LOG)
	call var_entry_set_log (var, lval, is_known, verbose, model_name)
	case default
	call var_mismatch_error (name)
	end select
	else
	call var_locked_error (name)
	end if
	else
	call var_missing_error (name, ignore)
	end if
	end subroutine var_list_set_log

	subroutine var_list_set_int &
	(var_list, name, ival, is_known, ignore, force, verbose, model_name)
	class(var_list_t), intent(inout), target :: var_list
	type(string_t), intent(in) :: name
	integer, intent(in) :: ival
	logical, intent(in) :: is_known
	logical, intent(in), optional :: ignore, force, verbose
	type(string_t), intent(in), optional :: model_name
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_INT)
	if (associated (var)) then
	if (.not. var_entry_is_locked (var, force)) then
	select case (var%type)
	case (V_INT)
	call var_entry_set_int (var, ival, is_known, verbose, model_name)
	case default
	call var_mismatch_error (name)
	end select
	else
	call var_locked_error (name)
	end if
	else
	call var_missing_error (name, ignore)
	end if
	end subroutine var_list_set_int

	subroutine var_list_set_real &
	(var_list, name, rval, is_known, ignore, force, &
	verbose, model_name, pacified)
	class(var_list_t), intent(inout), target :: var_list
	type(string_t), intent(in) :: name
	real(default), intent(in) :: rval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: ignore, force, verbose, pacified
	type(string_t), intent(in), optional :: model_name
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_REAL)
	if (associated (var)) then
	if (.not. var_entry_is_locked (var, force)) then
	select case (var%type)
	case (V_REAL)
	call var_entry_set_real &
	(var, rval, is_known, verbose, model_name, pacified)
	case default
	call var_mismatch_error (name)
	end select
	else
	call var_locked_error (name)
	end if
	else
	call var_missing_error (name, ignore)
	end if
	end subroutine var_list_set_real

	subroutine var_list_set_cmplx &
	(var_list, name, cval, is_known, ignore, force, &
	verbose, model_name, pacified)
	class(var_list_t), intent(inout), target :: var_list
	type(string_t), intent(in) :: name
	complex(default), intent(in) :: cval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: ignore, force, verbose, pacified
	type(string_t), intent(in), optional :: model_name
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_CMPLX)
	if (associated (var)) then
	if (.not. var_entry_is_locked (var, force)) then
	select case (var%type)
	case (V_CMPLX)
	call var_entry_set_cmplx &
	(var, cval, is_known, verbose, model_name, pacified)
	case default
	call var_mismatch_error (name)
	end select
	else
	call var_locked_error (name)
	end if
	else
	call var_missing_error (name, ignore)
	end if
	end subroutine var_list_set_cmplx

	subroutine var_list_set_pdg_array &
	(var_list, name, aval, is_known, ignore, force, verbose, model_name)
	class(var_list_t), intent(inout), target :: var_list
	type(string_t), intent(in) :: name
	type(pdg_array_t), intent(in) :: aval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: ignore, force, verbose
	type(string_t), intent(in), optional :: model_name
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_PDG)
	if (associated (var)) then
	if (.not. var_entry_is_locked (var, force)) then
	select case (var%type)
	case (V_PDG)
	call var_entry_set_pdg_array &
	(var, aval, is_known, verbose, model_name)
	case default
	call var_mismatch_error (name)
	end select
	else
	call var_locked_error (name)
	end if
	else
	call var_missing_error (name, ignore)
	end if
	end subroutine var_list_set_pdg_array

	subroutine var_list_set_subevt &
	(var_list, name, pval, is_known, ignore, force, verbose, model_name)
	class(var_list_t), intent(inout), target :: var_list
	type(string_t), intent(in) :: name
	type(subevt_t), intent(in) :: pval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: ignore, force, verbose
	type(string_t), intent(in), optional :: model_name
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_SEV)
	if (associated (var)) then
	if (.not. var_entry_is_locked (var, force)) then
	select case (var%type)
	case (V_SEV)
	call var_entry_set_subevt &
	(var, pval, is_known, verbose, model_name)
	case default
	call var_mismatch_error (name)
	end select
	else
	call var_locked_error (name)
	end if
	else
	call var_missing_error (name, ignore)
	end if
	end subroutine var_list_set_subevt

	subroutine var_list_set_string &
	(var_list, name, sval, is_known, ignore, force, verbose, model_name)
	class(var_list_t), intent(inout), target :: var_list
	type(string_t), intent(in) :: name
	type(string_t), intent(in) :: sval
	logical, intent(in) :: is_known
	logical, intent(in), optional :: ignore, force, verbose
	type(string_t), intent(in), optional :: model_name
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name, V_STR)
	if (associated (var)) then
	if (.not. var_entry_is_locked (var, force)) then
	select case (var%type)
	case (V_STR)
	call var_entry_set_string &
	(var, sval, is_known, verbose, model_name)
	case default
	call var_mismatch_error (name)
	end select
	else
	call var_locked_error (name)
	end if
	else
	call var_missing_error (name, ignore)
	end if
	end subroutine var_list_set_string

	subroutine var_mismatch_error (name)
	type(string_t), intent(in) :: name
	call msg_fatal ("Type mismatch for variable '" // char (name) // "'")
	end subroutine var_mismatch_error

	subroutine var_locked_error (name)
	type(string_t), intent(in) :: name
	call msg_error ("Variable '" // char (name) // "' is not user-definable")
	end subroutine var_locked_error

	subroutine var_missing_error (name, ignore)
	type(string_t), intent(in) :: name
	logical, intent(in), optional :: ignore
	logical :: error
	if (present (ignore)) then
	error = .not. ignore
	else
	error = .true.
	end if
	if (error) then
	call msg_fatal ("Variable '" // char (name) // "' has not been declared")
	end if
	end subroutine var_missing_error

	@ %def var_list_set_log
	@ %def var_list_set_int
	@ %def var_list_set_real
	@ %def var_list_set_cmplx
	@ %def var_list_set_subevt
	@ %def var_list_set_pdg_array
	@ %def var_list_set_string
	@ %def var_mismatch_error
	@ %def var_missing_error
	@
	Import values for the current variable list from another list.
	<<Variables: public>>=
	public :: var_list_import
	<<Variables: var list: TBP>>=
	procedure :: import => var_list_import
	<<Variables: procedures>>=
	subroutine var_list_import (var_list, src_list)
	class(var_list_t), intent(inout) :: var_list
	type(var_list_t), intent(in) :: src_list
	type(var_entry_t), pointer :: var, src
	var => var_list%first
	do while (associated (var))
	src => var_list_get_var_ptr (src_list, var%name)
	if (associated (src)) then
	call var_entry_copy_value (var, src)
	end if
	var => var%next
	end do
	end subroutine var_list_import

	@ %def var_list_import
	@ Mark all entries in the current variable list as undefined. This is done
	when a local variable list is discarded. If the local list is used again (by
	a loop), the entries will be re-initialized.
	<<Variables: public>>=
	public :: var_list_undefine
	<<Variables: var list: TBP>>=
	procedure :: undefine => var_list_undefine
	<<Variables: procedures>>=
	recursive subroutine var_list_undefine (var_list, follow_link)
	class(var_list_t), intent(inout) :: var_list
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var
	logical :: rec
	rec = .true.; if (present (follow_link)) rec = follow_link
	var => var_list%first
	do while (associated (var))
	call var_entry_undefine (var)
	var => var%next
	end do
	if (rec .and. associated (var_list%next)) then
	call var_list_undefine (var_list%next, follow_link=follow_link)
	end if
	end subroutine var_list_undefine

	@ %def var_list_undefine
	@ Make a deep copy of a variable list.
	<<Variables: public>>=
	public :: var_list_init_snapshot
	<<Variables: var list: TBP>>=
	procedure :: init_snapshot => var_list_init_snapshot
	<<Variables: procedures>>=
	recursive subroutine var_list_init_snapshot (var_list, vars_in, follow_link)
	class(var_list_t), intent(out) :: var_list
	type(var_list_t), intent(in) :: vars_in
	logical, intent(in), optional :: follow_link
	type(var_entry_t), pointer :: var, var_in
	type(var_list_t), pointer :: var_list_next
	logical :: rec
	rec = .true.; if (present (follow_link)) rec = follow_link
	var_in => vars_in%first
	do while (associated (var_in))
	allocate (var)
	call var_entry_init_copy (var, var_in)
	call var_entry_copy_value (var, var_in)
	call var_list_append (var_list, var)
	var_in => var_in%next
	end do
	if (rec .and. associated (vars_in%next)) then
	allocate (var_list_next)
	call var_list_init_snapshot (var_list_next, vars_in%next)
	call var_list%link (var_list_next)
	end if
	end subroutine var_list_init_snapshot

	@ %def var_list_init_snapshot
	@ Check if a user variable can be set. The [[new]] flag is set if the user
	variable has an explicit declaration. If an error occurs, return [[V_NONE]]
	as variable type.

	Also determine the actual type of generic numerical variables, which enter the
	procedure with type [[V_NONE]].
	<<Variables: public>>=
	public :: var_list_check_user_var
	<<Variables: var list: TBP>>=
	procedure :: check_user_var => var_list_check_user_var
	<<Variables: procedures>>=
	subroutine var_list_check_user_var (var_list, name, type, new)
	class(var_list_t), intent(in), target :: var_list
	type(string_t), intent(in) :: name
	integer, intent(inout) :: type
	logical, intent(in) :: new
	type(var_entry_t), pointer :: var
	var => var_list_get_var_ptr (var_list, name)
	if (associated (var)) then
	if (type == V_NONE) then
	type = var_entry_get_type (var)
	end if
	if (var_entry_is_locked (var)) then
	call msg_fatal ("Variable '" // char (name) &
	// "' is not user-definable")
	type = V_NONE
	return
	else if (new) then
	if (var_entry_is_intrinsic (var)) then
	call msg_fatal ("Intrinsic variable '" &
	// char (name) // "' redeclared")
	type = V_NONE
	return
	end if
	if (var_entry_get_type (var) /= type) then
	call msg_fatal ("Variable '" // char (name) // "' " &
	// "redeclared with different type")
	type = V_NONE
	return
	end if
	end if
	end if
	end subroutine var_list_check_user_var

	@ %def var_list_check_user_var
	@
	\subsection{Default values for global var list}

	<<Variables: var list: TBP>>=
	procedure :: init_defaults => var_list_init_defaults
	<<Variables: procedures>>=
	subroutine var_list_init_defaults (var_list, seed, paths)
	class(var_list_t), intent(out) :: var_list
	integer, intent(in) :: seed
	type(paths_t), intent(in), optional :: paths
	call var_list%set_beams_defaults (paths)
	call var_list%set_core_defaults (seed)
	call var_list%set_integration_defaults ()
	call var_list%set_phase_space_defaults ()
	call var_list%set_gamelan_defaults ()
	call var_list%set_clustering_defaults ()
	call var_list%set_isolation_defaults ()
	call var_list%set_eio_defaults ()
	call var_list%set_shower_defaults ()
	call var_list%set_hadronization_defaults ()
	call var_list%set_tauola_defaults ()
	call var_list%set_mlm_matching_defaults ()
	call var_list%set_powheg_matching_defaults ()
	call var_list%append_log (var_str ("?ckkw_matching"), .false., &
	intrinsic=.true., description=var_str ('Master flag that switches ' // &
	'on the CKKW(-L) (LO) matching between hard scattering matrix ' // &
	'elements and QCD parton showers. Note that this is not yet ' // &
	'(completely) implemented in \whizard. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...})'))
	call var_list%set_openmp_defaults ()
	call var_list%set_mpi_defaults ()
	call var_list%set_nlo_defaults ()
	end subroutine var_list_init_defaults

	@ %def var_list_init_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_beams_defaults => var_list_set_beams_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_beams_defaults (var_list, paths)
	type(paths_t), intent(in), optional :: paths
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_real (var_str ("sqrts"), &
	intrinsic=.true., &
	description=var_str ('Real variable in order to set the center-of-mass ' // &
	'energy for the collisions (collider energy $\sqrt{s}$, not ' // &
	'hard interaction energy $\sqrt{\hat{s}}$): \ttt{sqrts = {\em ' // &
	'<num>} [ {\em <phys\_unit>} ]}. The physical unit can be one ' // &
	'of the following \ttt{eV}, \ttt{keV}, \ttt{MeV}, \ttt{GeV}, ' // &
	'and \ttt{TeV}. If absent, \whizard\ takes \ttt{GeV} as its ' // &
	'standard unit. Note that this variable is absolutely mandatory ' // &
	'for integration and simulation of scattering processes.'))
	call var_list%append_real (var_str ("luminosity"), 0._default, &
	intrinsic=.true., &
	description=var_str ('This specifier \ttt{luminosity = {\em ' // &
	'<num>}} sets the integrated luminosity (in inverse femtobarns, ' // &
	'fb${}^{-1}$) for the event generation of the processes in the ' // &
	'\sindarin\ input files. Note that WHIZARD itself chooses the ' // &
	'number from the \ttt{luminosity} or from the \ttt{n\_events} ' // &
	'specifier, whichever would give the larger number of events. ' // &
	'As this depends on the cross section under consideration, it ' // &
	'might be different for different processes in the process list. ' // &
	'(cf. \ttt{n\_events}, \ttt{\$sample}, \ttt{sample\_format}, \ttt{?unweighted})'))
	call var_list%append_log (var_str ("?sf_trace"), .false., &
	intrinsic=.true., &
	description=var_str ('Debug flag that writes out detailed information ' // &
	'about the structure function setup into the file \ttt{{\em ' // &
	'<proc\_name>}\_sftrace.dat}. This file name can be changed ' // &
	'with ($\to$) \ttt{\$sf\_trace\_file}.'))
	call var_list%append_string (var_str ("$sf_trace_file"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('\ttt{\$sf\_trace\_file = "{\em <file\_name>}"} ' // &
	'allows to change the detailed structure function information ' // &
	'switched on by the debug flag ($\to$) \ttt{?sf\_trace} into ' // &
	'a different file \ttt{{\em <file\_name>}} than the default ' // &
	'\ttt{{\em <proc\_name>}\_sftrace.dat}.'))
	call var_list%append_log (var_str ("?sf_allow_s_mapping"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that determines whether special mappings ' // &
	'for processes with structure functions and $s$-channel resonances ' // &
	'are applied, e.g. Drell-Yan at hadron colliders, or $Z$ production ' // &
	'at linear colliders with beamstrahlung and ISR.'))
	if (present (paths)) then
	call var_list%append_string (var_str ("$lhapdf_dir"), paths%lhapdfdir, &
	intrinsic=.true., &
	description=var_str ('String variable that tells the path ' // &
	'where the \lhapdf\ library and PDF sets can be found. When ' // &
	'the library has been correctly recognized during configuration, ' // &
	'this is automatically set by \whizard. (cf. also \ttt{lhapdf}, ' // &
	'\ttt{\$lhapdf\_file}, \ttt{lhapdf\_photon}, \ttt{\$lhapdf\_photon\_file}, ' // &
	'\ttt{lhapdf\_member}, \ttt{lhapdf\_photon\_scheme})'))
	else
	call var_list%append_string (var_str ("$lhapdf_dir"), var_str(""), &
	intrinsic=.true., &
	description=var_str ('String variable that tells the path ' // &
	'where the \lhapdf\ library and PDF sets can be found. When ' // &
	'the library has been correctly recognized during configuration, ' // &
	'this is automatically set by \whizard. (cf. also \ttt{lhapdf}, ' // &
	'\ttt{\$lhapdf\_file}, \ttt{lhapdf\_photon}, \ttt{\$lhapdf\_photon\_file}, ' // &
	'\ttt{lhapdf\_member}, \ttt{lhapdf\_photon\_scheme})'))
	end if
	call var_list%append_string (var_str ("$lhapdf_file"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('This string variable \ttt{\$lhapdf\_file ' // &
	'= "{\em <pdf\_set>}"} allows to specify the PDF set \ttt{{\em ' // &
	'<pdf\_set>}} from the external \lhapdf\ library. It must match ' // &
	'the exact name of the PDF set from the \lhapdf\ library. The ' // &
	'default is empty, and the default set from \lhapdf\ is taken. ' // &
	'Only one argument is possible, the PDF set must be identical ' // &
	'for both beams, unless there are fundamentally different beam ' // &
	'particles like proton and photon. (cf. also \ttt{lhapdf}, \ttt{\$lhapdf\_dir}, ' // &
	'\ttt{lhapdf\_photon}, \ttt{\$lhapdf\_photon\_file}, \ttt{lhapdf\_photon\_scheme}, ' // &
	'\ttt{lhapdf\_member})'))
	call var_list%append_string (var_str ("$lhapdf_photon_file"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable \ttt{\$lhapdf\_photon\_file ' // &
	'= "{\em <pdf\_set>}"} analagous to ($\to$) \ttt{\$lhapdf\_file} ' // &
	'for photon PDF structure functions from the external \lhapdf\ ' // &
	'library. The name must exactly match the one of the set from ' // &
	'\lhapdf. (cf. \ttt{beams}, \ttt{lhapdf}, \ttt{\$lhapdf\_dir}, ' // &
	'\ttt{\$lhapdf\_file}, \ttt{\$lhapdf\_photon\_file}, \ttt{lhapdf\_member}, ' // &
	'\ttt{lhapdf\_photon\_scheme})'))
	call var_list%append_int (var_str ("lhapdf_member"), 0, &
	intrinsic=.true., &
	description=var_str ('Integer variable that specifies the number ' // &
	'of the corresponding PDF set chosen via the command ($\to$) ' // &
	'\ttt{\$lhapdf\_file} or ($\to$) \ttt{\$lhapdf\_photon\_file} ' // &
	'from the external \lhapdf\ library. E.g. error PDF sets can ' // &
	'be chosen by this. (cf. also \ttt{lhapdf}, \ttt{\$lhapdf\_dir}, ' // &
	'\ttt{\$lhapdf\_file}, \ttt{lhapdf\_photon}, \ttt{\$lhapdf\_photon\_file}, ' // &
	'\ttt{lhapdf\_photon\_scheme})'))
	call var_list%append_int (var_str ("lhapdf_photon_scheme"), 0, &
	intrinsic=.true., &
	description=var_str ('Integer parameter that controls the different ' // &
	'available schemes for photon PDFs inside the external \lhapdf\ ' // &
	'library. For more details see the \lhapdf\ manual. (cf. also ' // &
	'\ttt{lhapdf}, \ttt{\$lhapdf\_dir}, \ttt{\$lhapdf\_file}, \ttt{lhapdf\_photon}, ' // &
	'\ttt{\$lhapdf\_photon\_file}, \ttt{lhapdf\_member})'))
	call var_list%append_string (var_str ("$pdf_builtin_set"), var_str ("CTEQ6L"), &
	intrinsic=.true., &
	description=var_str ("For \whizard's internal PDF structure functions " // &
	'for hadron colliders, this string variable allows to set the ' // &
	'particular PDF set. (cf. also \ttt{pdf\_builtin}, \ttt{pdf\_builtin\_photon})'))
	call var_list%append_log (var_str ("?hoppet_b_matching"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that switches on the matching between ' // &
	'4- and 5-flavor schemes for hadron collider $b$-parton initiated ' // &
	'processes. Works either with builtin PDFs or with the external ' // &
	'\lhapdf\ interface. Needs the external \ttt{HOPPET} library ' // &
	'to be linked. (cf. \ttt{beams}, \ttt{pdf\_builtin}, \ttt{lhapdf})'))
	call var_list%append_real (var_str ("isr_alpha"), 0._default, &
	intrinsic=.true., &
	description=var_str ('For lepton collider initial-state QED ' // &
	'radiation (ISR), this real parameter sets the value of $\alpha_{em}$ ' // &
	'used in the structure function. If not set, it is taken from ' // &
	'the parameter set of the physics model in use (cf. also \ttt{isr}, ' // &
	'\ttt{isr\_q\_max}, \ttt{isr\_mass}, \ttt{isr\_order}, \ttt{?isr\_recoil}, ' // &
	'\ttt{?isr\_keep\_energy})'))
	call var_list%append_real (var_str ("isr_q_max"), 0._default, &
	intrinsic=.true., &
	description=var_str ('This real parameter allows to set the ' // &
	'scale of the initial-state QED radiation (ISR) structure function. ' // &
	'If not set, it is taken internally to be $\sqrt{s}$. (cf. ' // &
	'also \ttt{isr}, \ttt{isr\_alpha}, \ttt{isr\_mass}, \ttt{isr\_order}, ' // &
	'\ttt{?isr\_recoil}, \ttt{?isr\_keep\_energy})'))
	call var_list%append_real (var_str ("isr_mass"), 0._default, &
	intrinsic=.true., &
	description=var_str ('This real parameter allows to set by hand ' // &
	'the mass of the incoming particle for lepton collider initial-state ' // &
	'QED radiation (ISR). If not set, the mass for the initial beam ' // &
	'particle is taken from the model in use. (cf. also \ttt{isr}, ' // &
	'\ttt{isr\_q\_max}, \ttt{isr\_alpha}, \ttt{isr\_order}, \ttt{?isr\_recoil}, ' // &
	'\ttt{?isr\_keep\_energy})'))
	call var_list%append_int (var_str ("isr_order"), 3, &
	intrinsic=.true., &
	description=var_str ('For lepton collider initial-state QED ' // &
	'radiation (ISR), this integer parameter allows to set the order ' // &
	'up to which hard-collinear radiation is taken into account. ' // &
	'Default is the highest available, namely third order. (cf. ' // &
	'also \ttt{isr}, \ttt{isr\_q\_max}, \ttt{isr\_mass}, \ttt{isr\_alpha}, ' // &
	'\ttt{?isr\_recoil}, \ttt{?isr\_keep\_energy})'))
	call var_list%append_log (var_str ("?isr_recoil"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag to switch on recoil, i.e. a non-vanishing ' // &
	'$p_T$-kick for the lepton collider initial-state QED radiation ' // &
	'(ISR). (cf. also \ttt{isr}, \ttt{isr}, \ttt{isr\_alpha}, \ttt{isr\_mass}, ' // &
	'\ttt{isr\_order}, \ttt{isr\_q\_max})'))
	call var_list%append_log (var_str ("?isr_keep_energy"), .false., &
	intrinsic=.true., &
	description=var_str ('As the splitting kinematics for the ISR ' // &
	'structure function violates Lorentz invariance when the recoil ' // &
	'is switched on, this flag forces energy conservation when set ' // &
	'to true, otherwise violating energy conservation. (cf. also ' // &
	'\ttt{isr}, \ttt{isr\_q\_max}, \ttt{isr\_mass}, \ttt{isr\_order}, ' // &
	'\ttt{?isr\_recoil}, \ttt{?isr\_alpha})'))
	call var_list%append_log (var_str ("?isr_handler"), .false., &
	intrinsic=.true., &
	description=var_str ('Activate ISR ' // &
	'handler for event generation (no effect on integration). ' // &
	'Requires \ttt{isr\_recoil = false}'))
	call var_list%append_string (var_str ("$isr_handler_mode"), &
	var_str ("trivial"), &
	intrinsic=.true., &
	description=var_str ('Operation mode for the ISR ' // &
	'event handler. Allowed values: \ttt{trivial} (no effect), ' // &
	'\ttt{recoil} (recoil kinematics with two photons)'))
	call var_list%append_log (var_str ("?isr_handler_keep_mass"), .true., &
	intrinsic=.true., &
	description=var_str ('If \ttt{true} (default), force the incoming ' // &
	'partons of the hard process (after radiation) on their mass ' // &
	'shell. Otherwise, insert massless on-shell momenta. This ' // &
	'applies only for event generation (no effect on integration, ' // &
	'cf.\ also \ttt{?isr\_handler})'))
	call var_list%append_string (var_str ("$epa_mode"), &
	var_str ("default"), intrinsic=.true., &
	description=var_str ('For the equivalent photon approximation ' // &
	'(EPA), this string variable defines the mode, i.e. the explicit ' // &
	'formula for the EPA distribution. For more details cf. the manual. ' // &
	'Possible are \ttt{default} (\ttt{Budnev\_617}), \ttt{Budnev\_616e}, ' // &
	'\ttt{log\_power}, \ttt{log\_simple}, and \ttt{log}. ' // &
	'(cf. also \ttt{epa}, \ttt{epa\_x\_min}, \ttt{epa\_mass}, \ttt{epa\_e\_max}, ' // &
	'\ttt{epa\_q\_min}, \ttt{?epa\_recoil}, \ttt{?epa\_keep\_energy}, ' // &
	'\ttt{?epa\_handler}, \ttt{\$epa\_handler\_mode})'))
	call var_list%append_real (var_str ("epa_alpha"), 0._default, &
	intrinsic=.true., &
	description=var_str ('For the equivalent photon approximation ' // &
	'(EPA), this real parameter sets the value of $\alpha_{em}$ ' // &
	'used in the structure function. If not set, it is taken from ' // &
	'the parameter set of the physics model in use (cf. also \ttt{epa}, ' // &
	'\ttt{epa\_x\_min}, \ttt{epa\_mass}, \ttt{epa\_e\_max}, \ttt{epa\_q\_min}, ' // &
	'\ttt{?epa\_recoil}, \ttt{?epa\_keep\_energy}, \ttt{\$epa\_mode}, ' // &
	'\ttt{?epa\_handler}, \ttt{\$epa\_handler\_mode})'))
	call var_list%append_real (var_str ("epa_x_min"), 0._default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that sets the lower cutoff ' // &
	'for the energy fraction in the splitting for the equivalent-photon ' // &
	'approximation (EPA). This parameter has to be set by the user ' // &
	'to a non-zero value smaller than one. (cf. also \ttt{epa}, ' // &
	'\ttt{epa\_e\_max}, \ttt{epa\_mass}, \ttt{epa\_alpha}, \ttt{epa\_q\_min}, ' // &
	'\ttt{?epa\_recoil}, \ttt{?epa\_keep\_energy}, \ttt{\$epa\_mode}, ' // &
	'\ttt{?epa\_handler}, \ttt{\$epa\_handler\_mode})'))
	call var_list%append_real (var_str ("epa_q_min"), 0._default, &
	intrinsic=.true., &
	description=var_str ('In the equivalent-photon approximation ' // &
	'(EPA), this real parameters sets the minimal value for the ' // &
	'transferred momentum. Either this parameter or the mass of ' // &
	'the beam particle has to be non-zero. (cf. also \ttt{epa}, ' // &
	'\ttt{epa\_x\_min}, \ttt{epa\_mass}, \ttt{epa\_alpha}, \ttt{epa\_q\_max}, ' // &
	'\ttt{?epa\_recoil}, \ttt{?epa\_keep\_energy}, \ttt{\$epa\_mode}, ' // &
	'\ttt{?epa\_handler}, \ttt{\$epa\_handler\_mode})'))
	call var_list%append_real (var_str ("epa_q_max"), 0._default, &
	intrinsic=.true., &
	description=var_str ('This real parameter allows to set the ' // &
	'upper energy cutoff for the equivalent-photon approximation ' // &
	'(EPA). If not set, \whizard\ simply takes the collider energy, ' // &
	'$\sqrt{s}$. (cf. also \ttt{epa}, \ttt{epa\_x\_min}, \ttt{epa\_mass}, ' // &
	'\ttt{epa\_alpha}, \ttt{epa\_q\_min}, \ttt{?epa\_recoil}, \ttt{\$epa\_mode}, ' // &
	'\ttt{?epa\_keep\_energy}, \ttt{?epa\_handler}, \ttt{\$epa\_handler\_mode})'))
	call var_list%append_real (var_str ("epa_mass"), 0._default, &
	intrinsic=.true., &
	description=var_str ('This real parameter allows to set by hand ' // &
	'the mass of the incoming particle for the equivalent-photon ' // &
	'approximation (EPA). If not set, the mass for the initial beam ' // &
	'particle is taken from the model in use. (cf. also \ttt{epa}, ' // &
	'\ttt{epa\_x\_min}, \ttt{epa\_e\_max}, \ttt{epa\_alpha}, \ttt{epa\_q\_min}, ' // &
	'\ttt{?epa\_recoil}, \ttt{?epa\_keep\_energy}, \ttt{\$epa\_mode}. ' // &
	'\ttt{?epa\_handler}, \ttt{\$epa\_handler\_mode})'))
	call var_list%append_log (var_str ("?epa_recoil"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag to switch on recoil, i.e. a non-vanishing ' // &
	'$p_T$-kick for the equivalent-photon approximation (EPA). ' // &
	'(cf. also \ttt{epa}, \ttt{epa\_x\_min}, \ttt{epa\_mass}, \ttt{epa\_alpha}, ' // &
	'\ttt{epa\_e\_max}, \ttt{epa\_q\_min}, \ttt{?epa\_keep\_energy}, ' // &
	'\ttt{\$epa\_mode}, \ttt{?epa\_handler}, \ttt{\$epa\_handler\_mode})'))
	call var_list%append_log (var_str ("?epa_keep_energy"), .false., &
	intrinsic=.true., &
	description=var_str ('As the splitting kinematics for the EPA ' // &
	'structure function violates Lorentz invariance when the recoil ' // &
	'is switched on, this flag forces energy conservation when set ' // &
	'to true, otherwise violating energy conservation. (cf. also ' // &
	'\ttt{epa}, \ttt{epa\_x\_min}, \ttt{epa\_mass}, \ttt{epa\_alpha}, ' // &
	'\ttt{epa\_q\_min}, \ttt{?epa\_recoil}, \ttt{\$epa\_mode}, ' // &
	'\ttt{?epa\_handler}, \ttt{\$epa\_handler\_mode})'))
	call var_list%append_log (var_str ("?epa_handler"), .false., &
	intrinsic=.true., &
	description=var_str ('Activate EPA ' // &
	'handler for event generation (no effect on integration). ' // &
	'Requires \ttt{epa\_recoil = false}'))
	call var_list%append_string (var_str ("$epa_handler_mode"), &
	var_str ("trivial"), &
	intrinsic=.true., &
	description=var_str ('Operation mode for the EPA ' // &
	'event handler. Allowed values: \ttt{trivial} (no effect), ' // &
	'\ttt{recoil} (recoil kinematics with two beams)'))
	call var_list%append_real (var_str ("ewa_x_min"), 0._default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that sets the lower cutoff ' // &
	'for the energy fraction in the splitting for the equivalent ' // &
	'$W$ approximation (EWA). This parameter has to be set by the ' // &
	'user to a non-zero value smaller than one. (cf. also \ttt{ewa}, ' // &
	'\ttt{ewa\_pt\_max}, \ttt{ewa\_mass}, \ttt{?ewa\_keep\_energy}, ' // &
	'\ttt{?ewa\_recoil})'))
	call var_list%append_real (var_str ("ewa_pt_max"), 0._default, &
	intrinsic=.true., &
	description=var_str ('This real parameter allows to set the ' // &
	'upper $p_T$ cutoff for the equivalent $W$ approximation (EWA). ' // &
	'If not set, \whizard\ simply takes the collider energy, $\sqrt{s}$. ' // &
	'(cf. also \ttt{ewa}, \ttt{ewa\_x\_min}, \ttt{ewa\_mass}, \ttt{?ewa\_keep\_energy}, ' // &
	'\ttt{?ewa\_recoil})'))
	call var_list%append_real (var_str ("ewa_mass"), 0._default, &
	intrinsic=.true., &
	description=var_str ('This real parameter allows to set by hand ' // &
	'the mass of the incoming particle for the equivalent $W$ approximation ' // &
	'(EWA). If not set, the mass for the initial beam particle is ' // &
	'taken from the model in use. (cf. also \ttt{ewa}, \ttt{ewa\_x\_min}, ' // &
	'\ttt{ewa\_pt\_max}, \ttt{?ewa\_keep\_energy}, \ttt{?ewa\_recoil})'))
	call var_list%append_log (var_str ("?ewa_recoil"), .false., &
	intrinsic=.true., &
	description=var_str ('For the equivalent $W$ approximation (EWA), ' // &
	'this flag switches on recoil, i.e. non-collinear splitting. ' // &
	'(cf. also \ttt{ewa}, \ttt{ewa\_x\_min}, \ttt{ewa\_pt\_max}, ' // &
	'\ttt{ewa\_mass}, \ttt{?ewa\_keep\_energy})'))
	call var_list%append_log (var_str ("?ewa_keep_energy"), .false., &
	intrinsic=.true., &
	description=var_str ('As the splitting kinematics for the equivalent ' // &
	'$W$ approximation (EWA) violates Lorentz invariance when the ' // &
	'recoil is switched on, this flag forces energy conservation ' // &
	'when set to true, otherwise violating energy conservation. ' // &
	'(cf. also \ttt{ewa}, \ttt{ewa\_x\_min}, \ttt{ewa\_pt\_max}, ' // &
	'\ttt{ewa\_mass}, \ttt{?ewa\_recoil})'))
	call var_list%append_log (var_str ("?circe1_photon1"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag to tell \whizard\ to use the photon ' // &
	'of the \circeone\ beamstrahlung structure function as initiator ' // &
	'for the hard scattering process in the first beam. (cf. also ' // &
	'\ttt{circe1}, \ttt{?circe1\_photon2}, \ttt{circe1\_sqrts}, ' // &
	'\ttt{?circe1\_generate}, \ttt{?circe1\_map}, \ttt{circe1\_eps}, ' // &
	'\newline \ttt{circe1\_mapping\_slope}, \ttt{circe1\_ver}, ' // &
	'\ttt{circe1\_rev}, \ttt{\$circe1\_acc}, \ttt{circe1\_chat}, \newline' // &
	'\ttt{?circe1\_with\_radiation})'))
	call var_list%append_log (var_str ("?circe1_photon2"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag to tell \whizard\ to use the photon ' // &
	'of the \circeone\ beamstrahlung structure function as initiator ' // &
	'for the hard scattering process in the second beam. (cf. also ' // &
	'\ttt{circe1}, \ttt{?circe1\_photon1}, \ttt{circe1\_sqrts}, ' // &
	'\ttt{?circe1\_generate}, \ttt{?circe1\_map}, \ttt{circe1\_eps}, ' // &
	'\newline \ttt{circe1\_mapping\_slope}, \ttt{circe1\_ver}, ' // &
	'\ttt{circe1\_rev}, \ttt{\$circe1\_acc}, \ttt{circe1\_chat}, ' // &
	'\newline\ttt{?circe1\_with\_radiation})'))
	call var_list%append_real (var_str ("circe1_sqrts"), &
	intrinsic=.true., &
	description=var_str ('Real parameter that allows to set the ' // &
	'value of the collider energy for the lepton collider beamstrahlung ' // &
	'structure function \circeone. If not set, $\sqrt{s}$ is taken. ' // &
	'(cf. also \ttt{circe1}, \ttt{?circe1\_photon1}, \ttt{?circe1\_photon2}, ' // &
	'\ttt{?circe1\_generate}, \ttt{?circe1\_map}, \ttt{circe1\_eps}, ' // &
	'\newline \ttt{circe1\_mapping\_slope}, \ttt{circe1\_ver}, ' // &
	'\ttt{circe1\_rev}, \ttt{\$circe1\_acc}, \ttt{circe1\_chat}, \newline' // &
	'\ttt{?circe1\_with\_radiation})'))
	call var_list%append_log (var_str ("?circe1_generate"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that determines whether the \circeone\ ' // &
	'structure function for lepton collider beamstrahlung uses the ' // &
	'generator mode for the spectrum, or a pre-defined (semi-)analytical ' // &
	'parameterization. Default is the generator mode. (cf. also ' // &
	'\ttt{circe1}, \ttt{?circe1\_photon1}, \newline \ttt{?circe1\_photon2}, ' // &
	'\ttt{circe1\_sqrts}, \ttt{?circe1\_map}, \ttt{circe1\_mapping\_slope}, ' // &
	'\ttt{circe1\_eps}, \newline \ttt{circe1\_ver}, \ttt{circe1\_rev}, ' // &
	'\ttt{\$circe1\_acc}, \ttt{circe1\_chat}, \ttt{?circe1\_with\_radiation})'))
	call var_list%append_log (var_str ("?circe1_map"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that determines whether the \circeone\ ' // &
	'structure function for lepton collider beamstrahlung uses special ' // &
	'mappings for $s$-channel resonances. (cf. also \ttt{circe1}, ' // &
	'\ttt{?circe1\_photon1}, \newline \ttt{?circe1\_photon2}, ' // &
	'\ttt{circe1\_sqrts}, \ttt{?circe1\_generate}, ' // &
	'\ttt{circe1\_mapping\_slope}, \ttt{circe1\_eps}, \newline ' // &
	'\ttt{circe1\_ver}, \ttt{circe1\_rev}, \ttt{\$circe1\_acc}, ' // &
	'\ttt{circe1\_chat}, \ttt{?circe1\_with\_radiation})'))
	call var_list%append_real (var_str ("circe1_mapping_slope"), 2._default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that allows to vary the ' // &
	'slope of the mapping function for the \circeone\ structure ' // &
	'function for lepton collider beamstrahlung from the default ' // &
	'value \ttt{2.}. (cf. also \ttt{circe1}, \ttt{?circe1\_photon1}, ' // &
	'\ttt{?circe1\_photon2}, \ttt{circe1\_sqrts}, \ttt{?circe1\_generate}, ' // &
	'\ttt{?circe1\_map}, \ttt{circe1\_eps}, \ttt{circe1\_ver}, ' // &
	'\ttt{circe1\_rev}, \ttt{\$circe1\_acc}, \ttt{circe1\_chat}, \newline' // &
	'\ttt{?circe1\_with\_radiation})'))
	call var_list%append_real (var_str ("circe1_eps"), 1e-5_default, &
	intrinsic=.true., &
	description=var_str ('Real parameter, that takes care of the ' // &
	'mapping of the peak in the lepton collider beamstrahlung structure ' // &
	'function spectrum of \circeone. (cf. also \ttt{circe1}, \ttt{?circe1\_photons}, ' // &
	'\ttt{?circe1\_photon2}, \ttt{circe1\_sqrts}, \ttt{?circe1\_generate}, ' // &
	'\ttt{?circe1\_map}, \ttt{circe1\_eps}, \newline ' // &
	'\ttt{circe1\_mapping\_slope}, \ttt{circe1\_ver}, \ttt{circe1\_rev}, ' // &
	'\ttt{\$circe1\_acc}, \ttt{circe1\_chat}, \newline\ttt{?circe1\_with\_radiation})'))
	call var_list%append_int (var_str ("circe1_ver"), 0, intrinsic=.true., &
	description=var_str ('Integer parameter that sets the internal ' // &
	'versioning number of the \circeone\ structure function for lepton-collider ' // &
	'beamstrahlung. It has to be set by the user explicitly, it takes ' // &
	'values from one to ten. (cf. also \ttt{circe1}, \ttt{?circe1\_photon1}, ' // &
	'\ttt{?circe1\_photon2}, \ttt{?circe1\_generate}, \ttt{?circe1\_map}, ' // &
	'\ttt{circe1\_eps}, \ttt{circe1\_mapping\_slope}, \ttt{circe1\_sqrts}, ' // &
	'\ttt{circe1\_rev}, \ttt{\$circe1\_acc}, \ttt{circe1\_chat}, ' // &
	'\ttt{?circe1\_with\_radiation})'))
	call var_list%append_int (var_str ("circe1_rev"), 0, intrinsic=.true., &
	description=var_str ('Integer parameter that sets the internal ' // &
	'revision number of the \circeone\ structure function for lepton-collider ' // &
	'beamstrahlung. The default \ttt{0} translates always into the ' // &
	'most recent version; older versions have to be accessed through ' // &
	'the explicit revision date. For more details cf.~the \circeone ' // &
	'manual. (cf. also \ttt{circe1}, \ttt{?circe1\_photon1}, \ttt{?circe1\_photon2}, ' // &
	'\ttt{?circe1\_generate}, \ttt{?circe1\_map}, \ttt{circe1\_eps}, ' // &
	'\ttt{circe1\_mapping\_slope}, \ttt{circe1\_sqrts}, \ttt{circe1\_ver}, ' // &
	'\ttt{\$circe1\_acc}, \ttt{circe1\_chat}, \ttt{?circe1\_with\_radiation})'))
	call var_list%append_string (var_str ("$circe1_acc"), var_str ("SBAND"), &
	intrinsic=.true., &
	description=var_str ('String variable that specifies the accelerator ' // &
	'type for the \circeone\ structure function for lepton-collider ' // &
	'beamstrahlung. (\ttt{?circe1\_photons}, \ttt{?circe1\_photon2}, ' // &
	'\ttt{circe1\_sqrts}, \ttt{?circe1\_generate}, \ttt{?circe1\_map}, ' // &
	'\ttt{circe1\_eps}, \ttt{circe1\_mapping\_slope}, \ttt{circe1\_ver}, ' // &
	'\newline \ttt{circe1\_rev}, \ttt{circe1\_chat}, \ttt{?circe1\_with\_radiation})'))
	call var_list%append_int (var_str ("circe1_chat"), 0, intrinsic=.true., &
	description=var_str ('Chattiness of the \circeone\ structure ' // &
	'function for lepton-collider beamstrahlung. The higher the integer ' // &
	'value, the more information will be given out by the \circeone\ ' // &
	'package. (\ttt{?circe1\_photons}, \ttt{?circe1\_photon2}, ' // &
	'\ttt{circe1\_sqrts}, \ttt{?circe1\_generate}, \ttt{?circe1\_map}, ' // &
	'\ttt{circe1\_eps}, \ttt{circe1\_mapping\_slope}, \ttt{circe1\_ver}, ' // &
	'\newline \ttt{circe1\_rev}, \ttt{\$circe1\_acc}, \ttt{?circe1\_with\_radiation})'))
	call var_list%append_log (var_str ("?circe1_with_radiation"), .false., &
	intrinsic=.true., &
	description=var_str ('This logical decides whether the additional photon ' // &
	'or electron ("beam remnant") will be considered in the event record or ' // &
	'not. (\ttt{?circe1\_photons}, \ttt{?circe1\_photon2}, ' // &
	'\ttt{circe1\_sqrts}, \ttt{?circe1\_generate}, \ttt{?circe1\_map}, ' // &
	'\ttt{circe1\_eps}, \ttt{circe1\_mapping\_slope}, \ttt{circe1\_ver}, ' // &
	'\newline \ttt{circe1\_rev}, \ttt{\$circe1\_acc})'))
	call var_list%append_log (var_str ("?circe2_polarized"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag whether the photon spectra from the ' // &
	'\circetwo\ structure function for lepton colliders should be ' // &
	'treated polarized. (cf. also \ttt{circe2}, \ttt{\$circe2\_file}, ' // &
	'\ttt{\$circe2\_design})'))
	call var_list%append_string (var_str ("$circe2_file"), &
	intrinsic=.true., &
	description=var_str ('String variable by which the corresponding ' // &
	'photon collider spectrum for the \circetwo\ structure function ' // &
	'can be selected. (cf. also \ttt{circe2}, \ttt{?circe2\_polarized}, ' // &
	'\ttt{\$circe2\_design})'))
	call var_list%append_string (var_str ("$circe2_design"), var_str ("*"), &
	intrinsic=.true., &
	description=var_str ('String variable that sets the collider ' // &
	'design for the \circetwo\ structure function for photon collider ' // &
	'spectra. (cf. also \ttt{circe2}, \ttt{\$circe2\_file}, \ttt{?circe2\_polarized})'))
	call var_list%append_real (var_str ("gaussian_spread1"), 0._default, &
	intrinsic=.true., &
	description=var_str ('Parameter that sets the energy spread ' // &
	'($\sigma$ value) of the first beam for a Gaussian spectrum. ' // &
	'(cf. \ttt{gaussian})'))
	call var_list%append_real (var_str ("gaussian_spread2"), 0._default, &
	intrinsic=.true., &
	description=var_str ('Ditto, for the second beam.'))
	call var_list%append_string (var_str ("$beam_events_file"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to set the ' // &
	"name of the external file from which a beamstrahlung's spectrum " // &
	'for lepton colliders as pairs of energy fractions is read in. ' // &
	'(cf. also \ttt{beam\_events}, \ttt{?beam\_events\_warn\_eof})'))
	call var_list%append_log (var_str ("?beam_events_warn_eof"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that tells \whizard\ to ' // &
	'issue a warning when in a simulation the end of an external ' // &
	"file for beamstrahlung's spectra for lepton colliders are reached, " // &
	'and energy fractions from the beginning of the file are reused. ' // &
	'(cf. also \ttt{beam\_events}, \ttt{\$beam\_events\_file})'))
	call var_list%append_log (var_str ("?energy_scan_normalize"), .false., &
	intrinsic=.true., &
	description=var_str ('Normalization flag for the energy scan ' // &
	'structure function: if set the total cross section is normalized ' // &
	'to unity. (cf. also \ttt{energy\_scan})'))
	end subroutine var_list_set_beams_defaults

	@ %def var_list_set_beams_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_core_defaults => var_list_set_core_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_core_defaults (var_list, seed)
	class(var_list_t), intent(inout) :: var_list
	integer, intent(in) :: seed
	logical, target, save :: known = .true. !!! ??????
	real(default), parameter :: real_specimen = 1.
	call var_list_append_log_ptr &
	(var_list, var_str ("?logging"), logging, known, &
	intrinsic=.true., &
	description=var_str ('This logical -- when set to \ttt{false} ' // &
	'-- suppresses writing out a logfile (default: \ttt{whizard.log}) ' // &
	'for the whole \whizard\ run, or when \whizard\ is run with the ' // &
	'\ttt{--no-logging} option, to suppress parts of the logging ' // &
	'when setting it to \ttt{true} again at a later part of the ' // &
	'\sindarin\ input file. Mainly for debugging purposes. ' // &
	'(cf. also \ttt{?openmp\_logging}, \ttt{?mpi\_logging})'))
	call var_list%append_string (var_str ("$job_id"), &
	intrinsic=.true., &
	description=var_str ('Arbitrary string that can be used for ' // &
	'creating unique names. The variable is initialized with the ' // &
	'value of the \ttt{job\_id} option on startup. (cf. also ' // &
	'\ttt{\$compile\_workspace}, \ttt{\$run\_id})'))
	call var_list%append_string (var_str ("$compile_workspace"), &
	intrinsic=.true., &
	description=var_str ('If set, create process source code ' // &
	'and process-driver library code in a subdirectory with this ' // &
	'name. If non-existent, the directory will be created. (cf. ' // &
	'also \ttt{\$job\_id}, \ttt{\$run\_id}, \ttt{\$integrate\_workspace})'))
	call var_list%append_int (var_str ("seed"), seed, &
	intrinsic=.true., &
	description=var_str ('Integer variable \ttt{seed = {\em <num>}} ' // &
	'that allows to set a specific random seed \ttt{num}. If not ' // &
	'set, \whizard\ takes the time from the system clock to determine ' // &
	'the random seed.'))
	call var_list%append_string (var_str ("$model_name"), &
	intrinsic=.true., &
	description=var_str ('This variable makes the locally used physics ' // &
	'model available as a string, e.g. as \ttt{show (\$model\_name)}. ' // &
	'However, the user is not able to change the current model by ' // &
	'setting this variable to a different string. (cf. also \ttt{model}, ' // &
	'\ttt{\$library\_name}, \ttt{printf}, \ttt{show})'))
	call var_list%append_int (var_str ("process_num_id"), &
	intrinsic=.true., &
	description=var_str ('Using the integer \ttt{process\_num\_id ' // &
	'= {\em <int\_var>}} one can set a numerical identifier for processes ' // &
	'within a process library. This can be set either just before ' // &
	'the corresponding \ttt{process} definition or as an optional ' // &
	'local argument of the latter. (cf. also \ttt{process}, ' // &
	'\ttt{?proc\_as\_run\_id}, \ttt{lcio\_run\_id})'))
	call var_list%append_log (var_str ("?proc_as_run_id"), .true., &
	intrinsic=.true., &
	description=var_str ('Normally, for LCIO the process ID (cf. ' // &
	'\ttt{process\_num\_id}) is used as run ID, unless this flag is ' // &
	'set to \ttt{false}, cf. also \ttt{process}, \ttt{lcio\_run\_id}.'))
	call var_list%append_int (var_str ("lcio_run_id"), 0, &
	intrinsic=.true., &
	description=var_str ('Allows to set an integer run ID for the LCIO ' // &
	'event format. Normally, the process ID is taken as run ID, unless ' // &
	'the flag (cf.) \ttt{?proc\_as\_run\_id} is set to \ttt{false}, ' // &
	'cf. also \ttt{process}.'))
	call var_list%append_string (var_str ("$method"), var_str ("omega"), &
	intrinsic=.true., &
	description=var_str ('This string variable specifies the method ' // &
	'for the matrix elements to be used in the evaluation. The default ' // &
	"is the intrinsic \oMega\ matrix element generator " // &
	'(\ttt{"omega"}), other options are: \ttt{"ovm"}, \ttt{"unit\_test"}, ' // &
	'\ttt{"template\_unity"}, \ttt{"threshold"}. For processes defined ' // &
	'\ttt{"template"}, with \ttt{nlo\_calculation = ...}, please refer to ' // &
	'\ttt{\$born\_me\_method}, \ttt{\$real\_tree\_me\_method}, ' // &
	'\ttt{\$loop\_me\_method} and \ttt{\$correlation\_me\_method}.'))
	call var_list%append_log (var_str ("?report_progress"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag for the \oMega\ matrix element generator ' // &
	'whether to print out status messages about progress during ' // &
	'matrix element generation. (cf. also \ttt{\$method}, \ttt{\$omega\_flags})'))
	call var_list%append_log (var_str ("?me_verbose"), .false., &
	description=var_str ("Flag determining whether " // &
	"the makefile command for generating and compiling the \oMega\ matrix " // &
	"element code is silent or verbose. Default is silent."))
	call var_list%append_string (var_str ("$restrictions"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('This is an optional argument for process ' // &
	'definitions for the matrix element method \ttt{"omega"}. Using ' // &
	'the following construction, it defines a string variable, \ttt{process ' // &
	'\newline {\em <process\_name>} = {\em <particle1>}, {\em <particle2>} ' // &
	'=> {\em <particle3>}, {\em <particle4>}, ... \{ \$restrictions ' // &
	'= "{\em <restriction\_def>}" \}}. The string argument \ttt{{\em ' // &
	'<restriction\_def>}} is directly transferred during the code ' // &
	'generation to the ME generator \oMega. It has to be of the form ' // &
	'\ttt{n1 + n2 + ... \url{~} {\em <particle (list)>}}, where ' // &
	'\ttt{n1} and so on are the numbers of the particles above in ' // &
	'the process definition. The tilde specifies a certain intermediate ' // &
	'state to be equal to the particle(s) in \ttt{particle (list)}. ' // &
	'An example is \ttt{process eemm\_z = e1, E1 => e2, E2 ' // &
	'\{ \$restrictions = "1+2 \url{~} Z" \} } restricts the code ' // &
	'to be generated for the process $e^- e^+ \to \mu^- \mu^+$ to ' // &
	'the $s$-channel $Z$-boson exchange. For more details see Sec.~\ref{sec:omega_me} ' // &
	'(cf. also \ttt{process})'))
	call var_list%append_log (var_str ("?omega_write_phs_output"), .false., &
	intrinsic=.true., &
	description=var_str ('This flag decides whether a the phase-space ' // &
	'output is produced by the \oMega\ matrix element generator. This ' // &
	'output is written to file(s) and contains the Feynman diagrams ' // &
	'which belong to the process(es) under consideration. The file is ' // &
	'mandatory whenever the variable \ttt{\$phs\_method} has the value ' // &
	'\ttt{fast\_wood}, i.e. if the phase-space file is provided by ' // &
	'cascades2.'))
	call var_list%append_string (var_str ("$omega_flags"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to pass flags ' // &
	'to the \oMega\ matrix element generator. Normally, \whizard\ ' // &
	'takes care of all flags automatically. Note that for restrictions ' // &
	'of intermediate states, there is a special string variable: ' // &
	'(cf. $\to$) \ttt{\$restrictions}.'))
	call var_list%append_log (var_str ("?read_color_factors"), .true., &
	intrinsic=.true., &
	description=var_str ('This flag decides whether to read QCD ' // &
	'color factors from the matrix element provided by each method, ' // &
	'or to try and calculate the color factors in \whizard\ internally.'))
	call var_list%append_log (var_str ("?slha_read_input"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag which decides whether \whizard\ reads ' // &
	'in the SM and parameter information from the \ttt{SMINPUTS} ' // &
	'and \ttt{MINPAR} common blocks of the SUSY Les Houches Accord ' // &
	'files. (cf. also \ttt{read\_slha}, \ttt{write\_slha}, \ttt{?slha\_read\_spectrum}, ' // &
	'\ttt{?slha\_read\_decays})'))
	call var_list%append_log (var_str ("?slha_read_spectrum"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag which decides whether \whizard\ reads ' // &
	'in the whole spectrum and mixing angle information from the ' // &
	'common blocks of the SUSY Les Houches Accord files. (cf. also ' // &
	'\ttt{read\_slha}, \ttt{write\_slha}, \ttt{?slha\_read\_decays}, ' // &
	'\ttt{?slha\_read\_input})'))
	call var_list%append_log (var_str ("?slha_read_decays"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag which decides whether \whizard\ reads ' // &
	'in the widths and branching ratios from the \ttt{DCINFO} common ' // &
	'block of the SUSY Les Houches Accord files. (cf. also \ttt{read\_slha}, ' // &
	'\ttt{write\_slha}, \ttt{?slha\_read\_spectrum}, \ttt{?slha\_read\_input})'))
	call var_list%append_string (var_str ("$library_name"), &
	intrinsic=.true., &
	description=var_str ('Similar to \ttt{\$model\_name}, this string ' // &
	'variable is used solely to access the name of the active process ' // &
	'library, e.g. in \ttt{printf} statements. (cf. \ttt{compile}, ' // &
	'\ttt{library}, \ttt{printf}, \ttt{show}, \ttt{\$model\_name})'))
	call var_list%append_log (var_str ("?alphas_is_fixed"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that tells \whizard\ to use a non-running ' // &
	'$\alpha_s$. Note that this has to be set explicitly to $\ttt{false}$ ' // &
	'if the user wants to use one of the running $\alpha_s$ options. ' // &
	'(cf. also \ttt{alphas\_order}, \ttt{?alphas\_from\_lhapdf}, ' // &
	'\ttt{?alphas\_from\_pdf\_builtin}, \ttt{alphas\_nf}, \ttt{?alphas\_from\_mz}, ' // &
	'\newline \ttt{?alphas\_from\_lambda\_qcd}, \ttt{lambda\_qcd})'))
	call var_list%append_log (var_str ("?alphas_from_lhapdf"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that tells \whizard\ to use a running ' // &
	'$\alpha_s$ from the \lhapdf\ library (which has to be correctly ' // &
	'linked). Note that \ttt{?alphas\_is\_fixed} has to be set ' // &
	'explicitly to $\ttt{false}$. (cf. also \ttt{alphas\_order}, ' // &
	'\ttt{?alphas\_is\_fixed}, \ttt{?alphas\_from\_pdf\_builtin}, ' // &
	'\ttt{alphas\_nf}, \ttt{?alphas\_from\_mz}, \ttt{?alphas\_from\_lambda\_qcd}, ' // &
	'\ttt{lambda\_qcd})'))
	call var_list%append_log (var_str ("?alphas_from_pdf_builtin"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that tells \whizard\ to use a running ' // &
	'$\alpha_s$ from the internal PDFs. Note that in that case \ttt{?alphas\_is\_fixed} ' // &
	'has to be set explicitly to $\ttt{false}$. (cf. also ' // &
	'\ttt{alphas\_order}, \ttt{?alphas\_is\_fixed}, \ttt{?alphas\_from\_lhapdf}, ' // &
	'\ttt{alphas\_nf}, \ttt{?alphas\_from\_mz}, \newline \ttt{?alphas\_from\_lambda\_qcd}, ' // &
	'\ttt{lambda\_qcd})'))
	call var_list%append_int (var_str ("alphas_order"), 0, &
	intrinsic=.true., &
	description=var_str ('Integer parameter that sets the order ' // &
	'of the internal evolution for running $\alpha_s$ in \whizard: ' // &
	'the default, \ttt{0}, is LO running, \ttt{1} is NLO, \ttt{2} ' // &
	'is NNLO. (cf. also \ttt{alphas\_is\_fixed}, \ttt{?alphas\_from\_lhapdf}, ' // &
	'\ttt{?alphas\_from\_pdf\_builtin}, \ttt{alphas\_nf}, \ttt{?alphas\_from\_mz}, ' // &
	'\newline \ttt{?alphas\_from\_lambda\_qcd}, \ttt{lambda\_qcd})'))
	call var_list%append_int (var_str ("alphas_nf"), 5, &
	intrinsic=.true., &
	description=var_str ('Integer parameter that sets the number ' // &
	'of active quark flavors for the internal evolution for running ' // &
	'$\alpha_s$ in \whizard: the default is \ttt{5}. (cf. also ' // &
	'\ttt{alphas\_is\_fixed}, \ttt{?alphas\_from\_lhapdf}, \ttt{?alphas\_from\_pdf\_builtin}, ' // &
	'\ttt{alphas\_order}, \ttt{?alphas\_from\_mz}, \newline ' // &
	'\ttt{?alphas\_from\_lambda\_qcd}, \ttt{lambda\_qcd})'))
	call var_list%append_log (var_str ("?alphas_from_mz"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that tells \whizard\ to use its internal ' // &
	'running $\alpha_s$ from $\alpha_s(M_Z)$. Note that in that ' // &
	'case \ttt{?alphas\_is\_fixed} has to be set explicitly to ' // &
	'$\ttt{false}$. (cf. also \ttt{alphas\_order}, \ttt{?alphas\_is\_fixed}, ' // &
	'\ttt{?alphas\_from\_lhapdf}, \ttt{alphas\_nf}, \ttt{?alphas\_from\_pdf\_builtin}, ' // &
	'\newline \ttt{?alphas\_from\_lambda\_qcd}, \ttt{lambda\_qcd})'))
	call var_list%append_log (var_str ("?alphas_from_lambda_qcd"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that tells \whizard\ to use its internal ' // &
	'running $\alpha_s$ from $\alpha_s(\Lambda_{QCD})$. Note that ' // &
	'in that case \ttt{?alphas\_is\_fixed} has to be set explicitly ' // &
	'to $\ttt{false}$. (cf. also \ttt{alphas\_order}, \ttt{?alphas\_is\_fixed}, ' // &
	'\ttt{?alphas\_from\_lhapdf}, \ttt{alphas\_nf}, \ttt{?alphas\_from\_pdf\_builtin}, ' // &
	'\newline \ttt{?alphas\_from\_mz}, \ttt{lambda\_qcd})'))
	call var_list%append_real (var_str ("lambda_qcd"), 200.e-3_default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that sets the value for ' // &
	'$\Lambda_{QCD}$ used in the internal evolution for running ' // &
	'$\alpha_s$ in \whizard. (cf. also \ttt{alphas\_is\_fixed}, ' // &
	'\ttt{?alphas\_from\_lhapdf}, \ttt{alphas\_nf}, ' // &
	'\newline \ttt{?alphas\_from\_pdf\_builtin}, ' // &
	'\ttt{?alphas\_from\_mz}, \ttt{?alphas\_from\_lambda\_qcd}, ' // &
	'\ttt{alphas\_order})'))
	call var_list%append_log (var_str ("?fatal_beam_decay"), .true., &
	intrinsic=.true., &
	description=var_str ('Logical variable that let the user decide ' // &
	'whether the possibility of a beam decay is treated as a fatal ' // &
	'error or only as a warning. An example is a process $b t \to ' // &
	'X$, where the bottom quark as an inital state particle appears ' // &
	'as a possible decay product of the second incoming particle, ' // &
	'the top quark. This might trigger inconsistencies or instabilities ' // &
	'in the phase space set-up.'))
	call var_list%append_log (var_str ("?helicity_selection_active"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether \whizard\ uses ' // &
	'a numerical selection rule for vanishing helicities: if active, ' // &
	'then, if a certain helicity combination yields an absolute ' // &
	'(\oMega) matrix element smaller than a certain threshold ($\to$ ' // &
	'\ttt{helicity\_selection\_threshold}) more often than a certain ' // &
	'cutoff ($\to$ \ttt{helicity\_selection\_cutoff}), it will be dropped.'))
	call var_list%append_real (var_str ("helicity_selection_threshold"), &
	1E10_default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that gives the threshold ' // &
	'for the absolute value of a certain helicity combination of ' // &
	'an (\oMega) amplitude. If a certain number ($\to$ ' // &
	'\ttt{helicity\_selection\_cutoff}) of calls stays below this ' // &
	'threshold, that combination will be dropped from then on. (cf. ' // &
	'also \ttt{?helicity\_selection\_active})'))
	call var_list%append_int (var_str ("helicity_selection_cutoff"), 1000, &
	intrinsic=.true., &
	description=var_str ('Integer parameter that gives the number ' // &
	"a certain helicity combination of an (\oMega) amplitude has " // &
	'to be below a certain threshold ($\to$ \ttt{helicity\_selection\_threshold}) ' // &
	'in order to be dropped from then on. (cf. also \ttt{?helicity\_selection\_active})'))
	call var_list%append_string (var_str ("$rng_method"), var_str ("tao"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to set the ' // &
	'method for the random number generation. Default is Donald ' // &
	"Knuth' RNG method \ttt{TAO}."))
	call var_list%append_log (var_str ("?vis_diags"), .false., &
	intrinsic=.true., &
	description=var_str ('Logical variable that allows to give out ' // &
	"a Postscript or PDF file for the Feynman diagrams for a \oMega\ " // &
	'process. (cf. \ttt{?vis\_diags\_color}).'))
	call var_list%append_log (var_str ("?vis_diags_color"), .false., &
	intrinsic=.true., &
	description=var_str ('Same as \ttt{?vis\_diags}, but switches ' // &
	'on color flow instead of Feynman diagram generation. (cf. \ttt{?vis\_diags}).'))
	call var_list%append_log (var_str ("?check_event_file"), .true., &
	intrinsic=.true., &
	description=var_str ('Setting this to false turns off all sanity ' // &
	'checks when reading a raw event file with previously generated ' // &
	'events. Use this at your own risk; the program may return ' // &
	'wrong results or crash if data do not match. (cf. also \ttt{?check\_grid\_file}, ' // &
	'\ttt{?check\_phs\_file})'))
	call var_list%append_string (var_str ("$event_file_version"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to set the ' // &
	'format version of the \whizard\ internal binary event format.'))
	call var_list%append_int (var_str ("n_events"), 0, &
	intrinsic=.true., &
	description=var_str ('This specifier \ttt{n\_events = {\em <num>}} ' // &
	'sets the number of events for the event generation of the processes ' // &
	'in the \sindarin\ input files. Note that WHIZARD itself chooses ' // &
	'the number from the \ttt{n\_events} or from the \ttt{luminosity} ' // &
	'specifier, whichever would give the larger number of events. ' // &
	'As this depends on the cross section under consideration, it ' // &
	'might be different for different processes in the process list. ' // &
	'(cf. \ttt{luminosity}, \ttt{\$sample}, \ttt{sample\_format}, ' // &
	'\ttt{?unweighted}, \ttt{event\_index\_offset})'))
	call var_list%append_int (var_str ("event_index_offset"), 0, &
	intrinsic=.true., &
	description=var_str ('The value ' // &
	'\ttt{event\_index\_offset = {\em <num>}} ' // &
	'initializes the event counter for a subsequent ' // &
	'event sample. By default (value 0), the first event ' // &
	'gets index value 1, incrementing by one for each generated event ' // &
	'within a sample. The event counter is initialized again ' // &
	'for each new sample (i.e., \ttt{integrate} command). ' // &
	'If events are read from file, and the ' // &
	'event file format supports event numbering, the event numbers ' // &
	'will be taken from file instead, and the value of ' // &
	'\ttt{event\_index\_offset} has no effect. ' // &
	'(cf. \ttt{luminosity}, \ttt{\$sample}, \ttt{sample\_format}, ' // &
	'\ttt{?unweighted}, \ttt{n\_events})'))
	call var_list%append_log (var_str ("?unweighted"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that distinguishes between unweighted ' // &
	'and weighted event generation. (cf. also \ttt{simulate}, \ttt{n\_events}, ' // &
	'\ttt{luminosity}, \ttt{event\_index\_offset})'))
	call var_list%append_real (var_str ("safety_factor"), 1._default, &
	intrinsic=.true., &
	description=var_str ('This real variable \ttt{safety\_factor ' // &
	'= {\em <num>}} reduces the acceptance probability for unweighting. ' // &
	'If greater than one, excess events become less likely, but ' // &
	'the reweighting efficiency also drops. (cf. \ttt{simulate}, \ttt{?unweighted})'))
	call var_list%append_log (var_str ("?negative_weights"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that tells \whizard\ to allow negative ' // &
	'weights in integration and simulation. (cf. also \ttt{simulate}, ' // &
	'\ttt{?unweighted})'))
	call var_list%append_log (var_str ("?resonance_history"), .false., &
	intrinsic=.true., &
	description=var_str ( &
	'The logical variable \texttt{?resonance\_history ' // &
	'= true/false} specifies whether during a simulation pass, ' // &
	'the event generator should try to reconstruct intermediate ' // &
	'resonances. If activated, appropriate resonant subprocess ' // &
	'matrix element code will be automatically generated. '))
	call var_list%append_real (var_str ("resonance_on_shell_limit"), &
	4._default, &
	intrinsic=.true., &
	description=var_str ( &
	'The real variable \texttt{resonance\_on\_shell\_limit ' // &
	'= {\em <num>}} specifies the maximum relative distance from a ' // &
	'resonance peak, such that the kinematical configuration ' // &
	'can still be considered on-shell. This is relevant only if ' // &
	'\texttt{?resonance\_history = true}.'))
	call var_list%append_real (var_str ("resonance_on_shell_turnoff"), &
	0._default, &
	intrinsic=.true., &
	description=var_str ( &
	'The real variable \texttt{resonance\_on\_shell\_turnoff ' // &
	'= {\em <num>}}, if positive, ' // &
	'controls the smooth transition from resonance-like ' // &
	'to background-like events. The relative strength of a ' // &
	'resonance is reduced by a Gaussian with width given by this ' // &
	'variable. In any case, events are treated as background-like ' // &
	'when the off-shellness is greater than ' // &
	'\texttt{resonance\_on\_shell\_limit}. All of this applies ' // &
	'only if \texttt{?resonance\_history = true}.'))
	call var_list%append_real (var_str ("resonance_background_factor"), &
	1._default, &
	intrinsic=.true., &
	description=var_str ( &
	'The real variable \texttt{resonance\_background\_factor} ' // &
	'controls resonance insertion if a resonance ' // &
	'history applies to a particular event. In determining '// &
	'whether event kinematics qualifies as resonant or non-resonant, ' //&
	'the non-resonant probability is multiplied by this factor ' // &
	'Setting the factor to zero removes the background ' // &
	'configuration as long as the kinematics qualifies as on-shell ' // &
	'as qualified by \texttt{resonance\_on\_shell\_limit}.'))
	call var_list%append_log (var_str ("?keep_beams"), .false., &
	intrinsic=.true., &
	description=var_str ('The logical variable \ttt{?keep\_beams ' // &
	'= true/false} specifies whether beam particles and beam remnants ' // &
	'are included when writing event files. For example, in order ' // &
	'to read Les Houches accord event files into \pythia, no beam ' // &
	'particles are allowed.'))
	call var_list%append_log (var_str ("?keep_remnants"), .true., &
	intrinsic=.true., &
	description=var_str ('The logical variable \ttt{?keep\_beams ' // &
	'= true/false} is respected only if \ttt{?keep\_beams} is set. ' // &
	'If \ttt{true}, beam remnants are tagged as outgoing particles ' // &
	'if they have been neither showered nor hadronized, i.e., have ' // &
	'no children. If \ttt{false}, beam remnants are also included ' // &
	'in the event record, but tagged as unphysical. Note that for ' // &
	'ISR and/or beamstrahlung spectra, the radiated photons are ' // &
	'considered as beam remnants.'))
	call var_list%append_log (var_str ("?recover_beams"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether the beam particles ' // &
	'should be reconstructed when reading event/rescanning files ' // &
	'into \whizard. (cf. \ttt{rescan}, \ttt{?update\_event}, \ttt{?update\_sqme}, ' // &
	'\newline \ttt{?update\_weight})'))
	call var_list%append_log (var_str ("?update_event"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether the events in ' // &
	'an event file should be rebuilt from the hard process when ' // &
	'reading event/rescanning files into \whizard. (cf. \ttt{rescan}, ' // &
	'\ttt{?recover\_beams}, \ttt{?update\_sqme}, \ttt{?update\_weight})'))
	call var_list%append_log (var_str ("?update_sqme"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whehter the squared ' // &
	'matrix element in an event file should be updated/recalculated ' // &
	'when reading event/rescanning files into \whizard. (cf. \ttt{rescan}, ' // &
	'\newline \ttt{?recover\_beams}, \ttt{?update\_event}, \ttt{?update\_weight})'))
	call var_list%append_log (var_str ("?update_weight"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether the weights ' // &
	'in an event file should be updated/recalculated when reading ' // &
	'event/rescanning files into \whizard. (cf. \ttt{rescan}, \ttt{?recover\_beams}, ' // &
	'\newline \ttt{?update\_event}, \ttt{?update\_sqme})'))
	call var_list%append_log (var_str ("?use_alphas_from_file"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether the current ' // &
	'$\alpha_s$ definition should be used when recalculating matrix ' // &
	'elements for events read from file, or the value that is stored ' // &
	'in the file for that event. (cf. \ttt{rescan}, \ttt{?update\_sqme}, ' // &
	'\ttt{?use\_scale\_from\_file})'))
	call var_list%append_log (var_str ("?use_scale_from_file"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether the current ' // &
	'energy-scale expression should be used when recalculating matrix ' // &
	'elements for events read from file, or the value that is stored ' // &
	'in the file for that event. (cf. \ttt{rescan}, \ttt{?update\_sqme}, ' // &
	'\ttt{?use\_alphas\_from\_file})'))
	call var_list%append_log (var_str ("?allow_decays"), .true., &
	intrinsic=.true., &
	description=var_str ('Master flag to switch on cascade decays ' // &
	'for final state particles as an event transform. As a default, ' // &
	'it is switched on. (cf. also \ttt{?auto\_decays}, ' // &
	'\ttt{auto\_decays\_multiplicity}, \ttt{?auto\_decays\_radiative}, ' // &
	'\ttt{?decay\_rest\_frame})'))
	call var_list%append_log (var_str ("?auto_decays"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag, particularly as optional argument of the ($\to$) ' // &
	'\ttt{unstable} command, that tells \whizard\ to automatically ' // &
	'determine the decays of that particle up to the final state ' // &
	'multplicity ($\to$) \ttt{auto\_decays\_multiplicity}. Depending ' // &
	'on the flag ($\to$) \ttt{?auto\_decays\_radiative}, radiative ' // &
	'decays will be taken into account or not. (cf. also \ttt{unstable}, ' // &
	'\ttt{?isotropic\_decay}, \ttt{?diagonal\_decay})'))
	call var_list%append_int (var_str ("auto_decays_multiplicity"), 2, &
	intrinsic=.true., &
	description=var_str ('Integer parameter, that sets -- ' // &
	'for the ($\to$) \ttt{?auto\_decays} option to let \whizard\ ' // &
	'automatically determine the decays of a particle set as ($\to$) ' // &
	'\ttt{unstable} -- the maximal final state multiplicity that ' // &
	'is taken into account. The default is \ttt{2}. The flag \ttt{?auto\_decays\_radiative} ' // &
	'decides whether radiative decays are taken into account. (cf.\ ' // &
	'also \ttt{unstable}, \ttt{?auto\_decays})'))
	call var_list%append_log (var_str ("?auto_decays_radiative"), .false., &
	intrinsic=.true., &
	description=var_str ("If \whizard's automatic detection " // &
	'of decay channels are switched on ($\to$ \ttt{?auto\_decays} ' // &
	'for the ($\to$) \ttt{unstable} command, this flags decides ' // &
	'whether radiative decays (e.g. containing additional photon(s)/gluon(s)) ' // &
	'are taken into account or not. (cf. also \ttt{unstable}, \ttt{auto\_decays\_multiplicity})'))
	call var_list%append_log (var_str ("?decay_rest_frame"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that allows to force a particle decay ' // &
	'to be simulated in its rest frame. This simplifies the calculation ' // &
	'for decays as stand-alone processes, but makes the process ' // &
	'unsuitable for use in a decay chain.'))
	call var_list%append_log (var_str ("?isotropic_decay"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that -- in case of using factorized ' // &
	'production and decays using the ($\to$) \ttt{unstable} command ' // &
	'-- tells \whizard\ to switch off spin correlations completely ' // &
	'(isotropic decay). (cf. also \ttt{unstable}, \ttt{?auto\_decays}, ' // &
	'\ttt{decay\_helicity}, \ttt{?diagonal\_decay})'))
	call var_list%append_log (var_str ("?diagonal_decay"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that -- in case of using factorized ' // &
	'production and decays using the ($\to$) \ttt{unstable} command ' // &
	'-- tells \whizard\ instead of full spin correlations to take ' // &
	'only the diagonal entries in the spin-density matrix (i.e. ' // &
	'classical spin correlations). (cf. also \ttt{unstable}, \ttt{?auto\_decays}, ' // &
	'\ttt{decay\_helicity}, \ttt{?isotropic\_decay})'))
	call var_list%append_int (var_str ("decay_helicity"), &
	intrinsic=.true., &
	description=var_str ('If this parameter is given an integer ' // &
	'value, any particle decay triggered by a subsequent \ttt{unstable} ' // &
	'declaration will receive a projection on the given helicity ' // &
	'state for the unstable particle. (cf. also \ttt{unstable}, ' // &
	'\ttt{?isotropic\_decay}, \ttt{?diagonal\_decay}. The latter ' // &
	'parameters, if true, take precdence over any \ttt{?decay\_helicity} setting.)'))
	call var_list%append_log (var_str ("?polarized_events"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that allows to select certain helicity ' // &
	'combinations in final state particles in the event files, ' // &
	'and perform analysis on polarized event samples. (cf. also ' // &
	'\ttt{simulate}, \ttt{polarized}, \ttt{unpolarized})'))
	call var_list%append_string (var_str ("$polarization_mode"), &
	var_str ("helicity"), &
	intrinsic=.true., &
	description=var_str ('String variable that specifies the mode in ' // &
	'which the polarization of particles is handled when polarized events ' // &
	'are written out. Possible options are \ttt{"ignore"}, \ttt{"helicity"}, ' // &
	'\ttt{"factorized"}, and \ttt{"correlated"}. For more details cf. the ' // &
	'detailed section.'))
	call var_list%append_log (var_str ("?colorize_subevt"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that enables color-index tracking ' // &
	'in the subevent (\ttt{subevt}) objects that are used for ' // &
	'internal event analysis.'))
	call var_list%append_real (var_str ("tolerance"), 0._default, &
	intrinsic=.true., &
	description=var_str ('Real variable that defines the absolute ' // &
	'tolerance with which the (logical) function \ttt{expect} accepts ' // &
	'equality or inequality: \ttt{tolerance = {\em <num>}}. This ' // &
	'can e.g. be used for cross-section tests and backwards compatibility ' // &
	'checks. (cf. also \ttt{expect})'))
	call var_list%append_int (var_str ("checkpoint"), 0, &
	intrinsic = .true., &
	description=var_str ('Setting this integer variable to a positive ' // &
	'integer $n$ instructs simulate to print out a progress summary ' // &
	'every $n$ events.'))
	call var_list%append_int (var_str ("event_callback_interval"), 0, &
	intrinsic = .true., &
	description=var_str ('Setting this integer variable to a positive ' // &
	'integer $n$ instructs simulate to print out a progress summary ' // &
	'every $n$ events.'))
	call var_list%append_log (var_str ("?pacify"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that allows to suppress numerical ' // &
	'noise and give screen and log file output with a lower number ' // &
	'of significant digits. Mainly for debugging purposes. (cf. also ' // &
	'\ttt{?sample\_pacify})'))
	call var_list%append_string (var_str ("$out_file"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('This character variable allows to specify ' // &
	'the name of the data file to which the histogram and plot data ' // &
	'are written (cf. also \ttt{write\_analysis}, \ttt{open\_out}, ' // &
	'\ttt{close\_out})'))
	call var_list%append_log (var_str ("?out_advance"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that sets advancing in the \ttt{printf} ' // &
	'output commands, i.e. continuous printing with no line feed ' // &
	'etc. (cf. also \ttt{printf})'))
	!!! JRR: WK please check (#542)
	! call var_list%append_log (var_str ("?out_custom"), .false., &
	! intrinsic=.true.)
	! call var_list%append_string (var_str ("$out_comment"), var_str ("# "), &
	! intrinsic=.true.)
	! call var_list%append_log (var_str ("?out_header"), .true., &
	! intrinsic=.true.)
	! call var_list%append_log (var_str ("?out_yerr"), .true., &
	! intrinsic=.true.)
	! call var_list%append_log (var_str ("?out_xerr"), .true., &
	! intrinsic=.true.)
	call var_list%append_int (var_str ("real_range"), &
	range (real_specimen), intrinsic = .true., locked = .true., &
	description=var_str ('This integer gives the decimal exponent ' // &
	'range of the numeric model for the real float type in use. It cannot ' // &
	'be set by the user. (cf. also \ttt{real\_precision}, ' // &
	'\ttt{real\_epsilon}, \ttt{real\_tiny}).'))
	call var_list%append_int (var_str ("real_precision"), &
	precision (real_specimen), intrinsic = .true., locked = .true., &
	description=var_str ('This integer gives the precision of ' // &
	'the numeric model for the real float type in use. It cannot ' // &
	'be set by the user. (cf. also \ttt{real\_range}, ' // &
	'\ttt{real\_epsilon}, \ttt{real\_tiny}).'))
	call var_list%append_real (var_str ("real_epsilon"), &
	epsilon (real_specimen), intrinsic = .true., locked = .true., &
	description=var_str ('This gives the smallest number $E$ ' // &
	'of the same kind as the float type for which $1 + E > 1$. ' // &
	'It cannot be set by the user. (cf. also \ttt{real\_range}, ' // &
	'\ttt{real\_tiny}, \ttt{real\_precision}).'))
	call var_list%append_real (var_str ("real_tiny"), &
	tiny (real_specimen), intrinsic = .true., locked = .true., &
	description=var_str ('This gives the smallest positive (non-zero) ' // &
	'number in the numeric model for the real float type in use. ' // &
	'It cannot be set by the user. (cf. also \ttt{real\_range}, ' // &
	'\ttt{real\_epsilon}, \ttt{real\_precision}).'))
	end subroutine var_list_set_core_defaults

	@ %def var_list_set_core_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_integration_defaults => var_list_set_integration_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_integration_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_string (var_str ("$integration_method"), var_str ("vamp"), &
	intrinsic=.true., &
	description=var_str ('This string variable specifies the method ' // &
	'for performing the multi-dimensional phase-space integration. ' // &
	'The default is the \vamp\ algorithm (\ttt{"vamp"}), other options ' // &
	'are via the numerical midpoint rule (\ttt{"midpoint"}) or an ' // &
	'alternate \vamptwo\ implementation that is MPI-parallelizable ' // &
	'(\ttt{"vamp2"}).'))
	call var_list%append_int (var_str ("threshold_calls"), 10, &
	intrinsic=.true., &
	description=var_str ('This integer variable gives a limit for ' // &
	'the number of calls in a given channel which acts as a lower ' // &
	'threshold for the channel weight. If the number of calls in ' // &
	'that channel falls below this threshold, the weight is not ' // &
	'lowered further but kept at this threshold. (cf. also ' // &
	'\ttt{channel\_weights\_power})'))
	call var_list%append_int (var_str ("min_calls_per_channel"), 10, &
	intrinsic=.true., &
	description=var_str ('Integer parameter that modifies the settings ' // &
	"of the \vamp\ integrator's grid parameters. It sets the minimal " // &
	'number every channel must be called. If the number of calls ' // &
	'from the iterations is too small, \whizard\ will automatically ' // &
	'increase the number of calls. (cf. \ttt{iterations}, \ttt{min\_calls\_per\_bin}, ' // &
	'\ttt{min\_bins}, \ttt{max\_bins})'))
	call var_list%append_int (var_str ("min_calls_per_bin"), 10, &
	intrinsic=.true., &
	description=var_str ('Integer parameter that modifies the settings ' // &
	"of the \vamp\ integrator's grid parameters. It sets the minimal " // &
	'number every bin in an integration dimension must be called. ' // &
	'If the number of calls from the iterations is too small, \whizard\ ' // &
	'will automatically increase the number of calls. (cf. \ttt{iterations}, ' // &
	'\ttt{min\_calls\_per\_channel}, \ttt{min\_bins}, \ttt{max\_bins})'))
	call var_list%append_int (var_str ("min_bins"), 3, &
	intrinsic=.true., &
	description=var_str ('Integer parameter that modifies the settings ' // &
	"of the \vamp\ integrator's grid parameters. It sets the minimal " // &
	'number of bins per integration dimension. (cf. \ttt{iterations}, ' // &
	'\ttt{max\_bins}, \ttt{min\_calls\_per\_channel}, \ttt{min\_calls\_per\_bin})'))
	call var_list%append_int (var_str ("max_bins"), 20, &
	intrinsic=.true., &
	description=var_str ('Integer parameter that modifies the settings ' // &
	"of the \vamp\ integrator's grid parameters. It sets the maximal " // &
	'number of bins per integration dimension. (cf. \ttt{iterations}, ' // &
	'\ttt{min\_bins}, \ttt{min\_calls\_per\_channel}, \ttt{min\_calls\_per\_bin})'))
	call var_list%append_log (var_str ("?stratified"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that switches between stratified ' // &
	'and importance sampling for the \vamp\ integration method.'))
	call var_list%append_log (var_str ("?use_vamp_equivalences"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether equivalence ' // &
	'relations (symmetries) between different integration channels ' // &
	'are used by the \vamp\ integrator.'))
	call var_list%append_log (var_str ("?vamp_verbose"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that sets the chattiness of the \vamp\ ' // &
	'integrator. If set, not only errors, but also all warnings and ' // &
	'messages will be written out (not the default). (cf. also \newline ' // &
	'\ttt{?vamp\_history\_global}, \ttt{?vamp\_history\_global\_verbose}, ' // &
	'\ttt{?vamp\_history\_channels}, \newline \ttt{?vamp\_history\_channels\_verbose})'))
	call var_list%append_log (var_str ("?vamp_history_global"), &
	.true., intrinsic=.true., &
	description=var_str ('Flag that decides whether the global history ' // &
	'of the grid adaptation of the \vamp\ integrator are written ' // &
	'into the process logfiles. (cf. also \ttt{?vamp\_history\_global\_verbose}, ' // &
	'\ttt{?vamp\_history\_channels}, \ttt{?vamp\_history\_channels\_verbose}, ' // &
	'\ttt{?vamp\_verbose})'))
	call var_list%append_log (var_str ("?vamp_history_global_verbose"), &
	.false., intrinsic=.true., &
	description=var_str ('Flag that decides whether the global history ' // &
	'of the grid adaptation of the \vamp\ integrator are written ' // &
	'into the process logfiles in an extended version. Only for debugging ' // &
	'purposes. (cf. also \ttt{?vamp\_history\_global}, \ttt{?vamp\_history\_channels}, ' // &
	'\ttt{?vamp\_verbose}, \ttt{?vamp\_history\_channels\_verbose})'))
	call var_list%append_log (var_str ("?vamp_history_channels"), &
	.false., intrinsic=.true., &
	description=var_str ('Flag that decides whether the history of ' // &
	'the grid adaptation of the \vamp\ integrator for every single ' // &
	'channel are written into the process logfiles. Only for debugging ' // &
	'purposes. (cf. also \ttt{?vamp\_history\_global\_verbose}, ' // &
	'\ttt{?vamp\_history\_global}, \ttt{?vamp\_verbose}, \newline ' // &
	'\ttt{?vamp\_history\_channels\_verbose})'))
	call var_list%append_log (var_str ("?vamp_history_channels_verbose"), &
	.false., intrinsic=.true., &
	description=var_str ('Flag that decides whether the history of ' // &
	'the grid adaptation of the \vamp\ integrator for every single ' // &
	'channel are written into the process logfiles in an extended ' // &
	'version. Only for debugging purposes. (cf. also \ttt{?vamp\_history\_global}, ' // &
	'\ttt{?vamp\_history\_channels}, \ttt{?vamp\_verbose}, \ttt{?vamp\_history\_global\_verbose})'))
	call var_list%append_string (var_str ("$run_id"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable \ttt{\$run\_id = "{\em ' // &
	'<id>}"} that allows to set a special ID for a particular process ' // &
	'run, e.g. in a scan. The run ID is then attached to the process ' // &
	'log file: \newline \ttt{{\em <proc\_name>}\_{\em <proc\_comp>}.{\em ' // &
	'<id>}.log}, the \vamp\ grid file: \newline \ttt{{\em <proc\_name>}\_{\em ' // &
	'<proc\_comp>}.{\em <id>}.vg}, and the phase space file: \newline ' // &
	'\ttt{{\em <proc\_name>}\_{\em <proc\_comp>}.{\em <id>}.phs}. ' // &
	'The run ID string distinguishes among several runs for the ' // &
	'same process. It identifies process instances with respect ' // &
	'to adapted integration grids and similar run-specific data. ' // &
	'The run ID is kept when copying processes for creating instances, ' // &
	'however, so it does not distinguish event samples. (cf.\ also ' // &
	'\ttt{\$job\_id}, \ttt{\$compile\_workspace}'))
	call var_list%append_int (var_str ("n_calls_test"), 0, &
	intrinsic=.true., &
	description=var_str ('Integer variable that allows to set a ' // &
	'certain number of matrix element sampling test calls without ' // &
	'actually integrating the process under consideration. (cf. ' // &
	'\ttt{integrate})'))
	call var_list%append_log (var_str ("?integration_timer"), .true., &
	intrinsic=.true., &
	description=var_str ('This flag switches the integration timer ' // &
	'on and off, that gives the estimate for the duration of the ' // &
	'generation of 10,000 unweighted events for each integrated ' // &
	'process.'))
	call var_list%append_log (var_str ("?check_grid_file"), .true., &
	intrinsic=.true., &
	description=var_str ('Setting this to false turns off all sanity ' // &
	'checks when reading a grid file with previous integration data. ' // &
	'Use this at your own risk; the program may return wrong results ' // &
	'or crash if data do not match. (cf. also \ttt{?check\_event\_file}, \ttt{?check\_phs\_file}) '))
	call var_list%append_real (var_str ("accuracy_goal"), 0._default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that allows the user to ' // &
	'set a minimal accuracy that should be achieved in the Monte-Carlo ' // &
	'integration of a certain process. If that goal is reached, ' // &
	'grid and weight adapation stop, and this result is used for ' // &
	'simulation. (cf. also \ttt{integrate}, \ttt{iterations}, ' // &
	'\ttt{error\_goal}, \ttt{relative\_error\_goal}, ' // &
	'\ttt{error\_threshold})'))
	call var_list%append_real (var_str ("error_goal"), 0._default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that allows the user to ' // &
	'set a minimal absolute error that should be achieved in the ' // &
	'Monte-Carlo integration of a certain process. If that goal ' // &
	'is reached, grid and weight adapation stop, and this result ' // &
	'is used for simulation. (cf. also \ttt{integrate}, \ttt{iterations}, ' // &
	'\ttt{accuracy\_goal}, \ttt{relative\_error\_goal}, \ttt{error\_threshold})'))
	call var_list%append_real (var_str ("relative_error_goal"), 0._default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that allows the user to ' // &
	'set a minimal relative error that should be achieved in the ' // &
	'Monte-Carlo integration of a certain process. If that goal ' // &
	'is reached, grid and weight adaptation stop, and this result ' // &
	'is used for simulation. (cf. also \ttt{integrate}, \ttt{iterations}, ' // &
	'\ttt{accuracy\_goal}, \ttt{error\_goal}, \ttt{error\_threshold})'))
	call var_list%append_int (var_str ("integration_results_verbosity"), 1, &
	intrinsic=.true., &
	description=var_str ('Integer parameter for the verbosity of ' // &
	'the integration results in the process-specific logfile.'))
	call var_list%append_real (var_str ("error_threshold"), &
	0._default, intrinsic=.true., &
	description=var_str ('The real parameter \ttt{error\_threshold ' // &
	'= {\em <num>}} declares that any error value (in absolute numbers) ' // &
	'smaller than \ttt{{\em <num>}} is to be considered zero. The ' // &
	'units are \ttt{fb} for scatterings and \ttt{GeV} for decays. ' // &
	'(cf. also \ttt{integrate}, \ttt{iterations}, \ttt{accuracy\_goal}, ' // &
	'\ttt{error\_goal}, \ttt{relative\_error\_goal})'))
	call var_list%append_real (var_str ("channel_weights_power"), 0.25_default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that allows to vary the ' // &
	'exponent of the channel weights for the \vamp\ integrator.'))
	call var_list%append_string (var_str ("$integrate_workspace"), &
	intrinsic=.true., &
	description=var_str ('Character string that tells \whizard\ ' // &
	'the subdirectory where to find the run-specific phase-space ' // &
	'configuration and the \vamp\ and \vamptwo\ grid files. ' // &
	'If undefined (as per default), \whizard\ creates them and ' // &
	'searches for them in the ' // &
	'current directory. (cf. also \ttt{\$job\_id}, ' // &
	'\ttt{\$run\_id}, \ttt{\$compile\_workspace})'))
	call var_list%append_string (var_str ("$vamp_grid_format"), var_str ("ascii"), &
	intrinsic=.true., &
	description=var_str ('Character string that tells \whizard\ ' // &
	'the file format for \ttt{vamp2} to use for writing and reading ' // &
	'the configuration for the multi-channel integration setup and the ' // &
	'\vamptwo\ (only) grid data. The values can be \ttt{ascii} for a single ' // &
	'human-readable grid file with ending \ttt{.vg2} or \ttt{binary} for two files, ' // &
	'a human-readable header file with ending \ttt{.vg2} and binary file with ending ' // &
	'\ttt{.vgx2} storing the grid data.' // &
	'The main purpose of the binary format is to perform faster I/O, e.g. for HPC runs.' // &
	'\whizard\ can convert between the different file formats automatically.'))
	end subroutine var_list_set_integration_defaults

	@ %def var_list_set_integration_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_phase_space_defaults => var_list_set_phase_space_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_phase_space_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_string (var_str ("$phs_method"), var_str ("default"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to choose ' // &
	'the phase-space parameterization method. The default is the ' // &
	'\ttt{"wood"} method that takes into account electroweak/BSM ' // &
	'resonances. Note that this might not be the best choice for ' // &
	'(pure) QCD amplitudes. (cf. also \ttt{\$phs\_file})'))
	call var_list%append_log (var_str ("?vis_channels"), .false., &
	intrinsic=.true., &
	description=var_str ('Optional logical argument for the \ttt{integrate} ' // &
	'command that demands \whizard\ to generate a PDF or postscript ' // &
	'output showing the classification of the found phase space ' // &
	'channels (if the phase space method \ttt{wood} has been used) ' // &
	'according to their properties: \ttt{integrate (foo) \{ iterations=3:10000 ' // &
	'?vis\_channels = true \}}. The default is \ttt{false}. (cf. ' // &
	'also \ttt{integrate}, \ttt{?vis\_history})'))
	call var_list%append_log (var_str ("?check_phs_file"), .true., &
	intrinsic=.true., &
	description=var_str ('Setting this to false turns off all sanity ' // &
	'checks when reading a previously generated phase-space configuration ' // &
	'file. Use this at your own risk; the program may return wrong ' // &
	'results or crash if data do not match. (cf. also \ttt{?check\_event\_file}, ' // &
	'\ttt{?check\_grid\_file})'))
	call var_list%append_string (var_str ("$phs_file"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('This string variable allows the user to ' // &
	'set an individual file name for the phase space parameterization ' // &
	'for a particular process: \ttt{\$phs\_file = "{\em <file\_name>}"}. ' // &
	'If not set, the default is \ttt{{\em <proc\_name>}\_{\em <proc\_comp>}.{\em ' // &
	'<run\_id>}.phs}. (cf. also \ttt{\$phs\_method})'))
	call var_list%append_log (var_str ("?phs_only"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag (particularly as optional argument ' // &
	'of the $\to$ \ttt{integrate} command) that allows to only generate ' // &
	'the phase space file, but not perform the integration. (cf. ' // &
	'also \ttt{\$phs\_method}, \ttt{\$phs\_file})'))
	call var_list%append_real (var_str ("phs_threshold_s"), 50._default, &
	intrinsic=.true., &
	description=var_str ('For the phase space method \ttt{wood}, ' // &
	'this real parameter sets the threshold below which particles ' // &
	'are assumed to be massless in the $s$-channel like kinematic ' // &
	'regions. (cf. also \ttt{phs\_threshold\_t}, \ttt{phs\_off\_shell}, ' // &
	'\ttt{phs\_t\_channel}, \ttt{phs\_e\_scale}, \ttt{phs\_m\_scale}, ' // &
	'\newline \ttt{phs\_q\_scale}, \ttt{?phs\_keep\_resonant}, \ttt{?phs\_step\_mapping}, ' // &
	'\ttt{?phs\_step\_mapping\_exp}, \newline \ttt{?phs\_s\_mapping})'))
	call var_list%append_real (var_str ("phs_threshold_t"), 100._default, &
	intrinsic=.true., &
	description=var_str ('For the phase space method \ttt{wood}, ' // &
	'this real parameter sets the threshold below which particles ' // &
	'are assumed to be massless in the $t$-channel like kinematic ' // &
	'regions. (cf. also \ttt{phs\_threshold\_s}, \ttt{phs\_off\_shell}, ' // &
	'\ttt{phs\_t\_channel}, \ttt{phs\_e\_scale}, \ttt{phs\_m\_scale}, ' // &
	'\newline \ttt{phs\_q\_scale}, \ttt{?phs\_keep\_resonant}, \ttt{?phs\_step\_mapping}, ' // &
	'\ttt{?phs\_step\_mapping\_exp}, \newline \ttt{?phs\_s\_mapping})'))
	call var_list%append_int (var_str ("phs_off_shell"), 2, &
	intrinsic=.true., &
	description=var_str ('Integer parameter that sets the number ' // &
	'of off-shell (not $t$-channel-like, non-resonant) lines that ' // &
	'are taken into account to find a valid phase-space setup in ' // &
	'the \ttt{wood} phase-space method. (cf. also \ttt{phs\_threshold\_t}, ' // &
	'\ttt{phs\_threshold\_s}, \ttt{phs\_t\_channel}, \ttt{phs\_e\_scale}, ' // &
	'\ttt{phs\_m\_scale}, \ttt{phs\_q\_scale}, \ttt{?phs\_keep\_resonant}, ' // &
	'\ttt{?phs\_step\_mapping}, \newline \ttt{?phs\_step\_mapping\_exp}, ' // &
	'\ttt{?phs\_s\_mapping})'))
	call var_list%append_int (var_str ("phs_t_channel"), 6, &
	intrinsic=.true., &
	description=var_str ('Integer parameter that sets the number ' // &
	'of $t$-channel propagators in multi-peripheral diagrams that ' // &
	'are taken into account to find a valid phase-space setup in ' // &
	'the \ttt{wood} phase-space method. (cf. also \ttt{phs\_threshold\_t}, ' // &
	'\ttt{phs\_threshold\_s}, \ttt{phs\_off\_shell}, \ttt{phs\_e\_scale}, ' // &
	'\ttt{phs\_m\_scale}, \ttt{phs\_q\_scale}, \ttt{?phs\_keep\_resonant}, ' // &
	'\ttt{?phs\_step\_mapping}, \newline \ttt{?phs\_step\_mapping\_exp}, ' // &
	'\ttt{?phs\_s\_mapping})'))
	call var_list%append_real (var_str ("phs_e_scale"), 10._default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that sets the energy scale ' // &
	'that acts as a cutoff for parameterizing radiation-like kinematics ' // &
	'in the \ttt{wood} phase space method. \whizard\ takes the maximum ' // &
	'of this value and the width of the propagating particle as ' // &
	'a cutoff. (cf. also \ttt{phs\_threshold\_t}, \ttt{phs\_threshold\_s}, ' // &
	'\ttt{phs\_t\_channel}, \ttt{phs\_off\_shell}, \ttt{phs\_m\_scale}, ' // &
	'\ttt{phs\_q\_scale}, \newline \ttt{?phs\_keep\_resonant}, \ttt{?phs\_step\_mapping}, ' // &
	'\ttt{?phs\_step\_mapping\_exp}, \ttt{?phs\_s\_mapping})'))
	call var_list%append_real (var_str ("phs_m_scale"), 10._default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that sets the mass scale ' // &
	'that acts as a cutoff for parameterizing collinear and infrared ' // &
	'kinematics in the \ttt{wood} phase space method. \whizard\ ' // &
	'takes the maximum of this value and the mass of the propagating ' // &
	'particle as a cutoff. (cf. also \ttt{phs\_threshold\_t}, \ttt{phs\_threshold\_s}, ' // &
	'\ttt{phs\_t\_channel}, \ttt{phs\_off\_shell}, \ttt{phs\_e\_scale}, ' // &
	'\ttt{phs\_q\_scale}, \newline \ttt{?phs\_keep\_resonant}, \ttt{?phs\_step\_mapping}, ' // &
	'\ttt{?phs\_step\_mapping\_exp}, \ttt{?phs\_s\_mapping})'))
	call var_list%append_real (var_str ("phs_q_scale"), 10._default, &
	intrinsic=.true., &
	description=var_str ('Real parameter that sets the momentum ' // &
	'transfer scale that acts as a cutoff for parameterizing $t$- ' // &
	'and $u$-channel like kinematics in the \ttt{wood} phase space ' // &
	'method. \whizard\ takes the maximum of this value and the mass ' // &
	'of the propagating particle as a cutoff. (cf. also \ttt{phs\_threshold\_t}, ' // &
	'\ttt{phs\_threshold\_s}, \ttt{phs\_t\_channel}, \ttt{phs\_off\_shell}, ' // &
	'\ttt{phs\_e\_scale}, \ttt{phs\_m\_scale}, \ttt{?phs\_keep\_resonant}, ' // &
	'\ttt{?phs\_step\_mapping}, \ttt{?phs\_step\_mapping\_exp}, ' // &
	'\newline \ttt{?phs\_s\_mapping})'))
	call var_list%append_log (var_str ("?phs_keep_nonresonant"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether the \ttt{wood} ' // &
	'phase space method takes into account also non-resonant contributions. ' // &
	'(cf. also \ttt{phs\_threshold\_t}, \ttt{phs\_threshold\_s}, ' // &
	'\ttt{phs\_t\_channel}, \ttt{phs\_off\_shell}, \ttt{phs\_m\_scale}, ' // &
	'\ttt{phs\_q\_scale}, \ttt{phs\_e\_scale}, \ttt{?phs\_step\_mapping}, ' // &
	'\newline \ttt{?phs\_step\_mapping\_exp}, \ttt{?phs\_s\_mapping})'))
	call var_list%append_log (var_str ("?phs_step_mapping"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that switches on (or off) a particular ' // &
	'phase space mapping for resonances, where the mass and width ' // &
	'of the resonance are explicitly set as channel cutoffs. (cf. ' // &
	'also \ttt{phs\_threshold\_t}, \ttt{phs\_threshold\_s}, \ttt{phs\_t\_channel}, ' // &
	'\ttt{phs\_off\_shell}, \ttt{phs\_e\_scale}, \newline \ttt{phs\_m\_scale}, ' // &
	'\ttt{?phs\_keep\_resonant}, \ttt{?phs\_q\_scale}, \ttt{?phs\_step\_mapping\_exp}, ' // &
	'\newline \ttt{?phs\_s\_mapping})'))
	call var_list%append_log (var_str ("?phs_step_mapping_exp"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that switches on (or off) a particular ' // &
	'phase space mapping for resonances, where the mass and width ' // &
	'of the resonance are explicitly set as channel cutoffs. This ' // &
	'is an exponential mapping in contrast to ($\to$) \ttt{?phs\_step\_mapping}. ' // &
	'(cf. also \ttt{phs\_threshold\_t}, \ttt{phs\_threshold\_s}, ' // &
	'\ttt{phs\_t\_channel}, \ttt{phs\_off\_shell}, \ttt{phs\_e\_scale}, ' // &
	'\ttt{phs\_m\_scale}, \newline \ttt{?phs\_q\_scale}, \ttt{?phs\_keep\_resonant}, ' // &
	'\ttt{?phs\_step\_mapping}, \ttt{?phs\_s\_mapping})'))
	call var_list%append_log (var_str ("?phs_s_mapping"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that allows special mapping for $s$-channel ' // &
	'resonances. (cf. also \ttt{phs\_threshold\_t}, \ttt{phs\_threshold\_s}, ' // &
	'\ttt{phs\_t\_channel}, \ttt{phs\_off\_shell}, \ttt{phs\_e\_scale}, ' // &
	'\ttt{phs\_m\_scale}, \newline \ttt{?phs\_keep\_resonant}, \ttt{?phs\_q\_scale}, ' // &
	'\ttt{?phs\_step\_mapping}, \ttt{?phs\_step\_mapping\_exp})'))
	call var_list%append_log (var_str ("?vis_history"), .false., &
	intrinsic=.true., &
	description=var_str ('Optional logical argument for the \ttt{integrate} ' // &
	'command that demands \whizard\ to generate a PDF or postscript ' // &
	'output showing the adaptation history of the Monte-Carlo integration ' // &
	'of the process under consideration. (cf. also \ttt{integrate}, ' // &
	'\ttt{?vis\_channels})'))
	end subroutine var_list_set_phase_space_defaults

	@ %def var_list_set_phase_space_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_gamelan_defaults => var_list_set_gamelan_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_gamelan_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_int (&
	var_str ("n_bins"), 20, &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: integer value that sets the number of bins in histograms. ' // &
	'(cf. also \ttt{?normalize\_bins}, \ttt{\$obs\_label}, \ttt{\$obs\_unit}, ' // &
	'\ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, \ttt{\$y\_label}, ' // &
	'\ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, \ttt{?y\_log}, ' // &
	'\ttt{?x\_log}, \ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, ' // &
	'\ttt{\$gmlcode\_bg}, \ttt{\$gmlcode\_fg}, \ttt{?draw\_histogram}, ' // &
	'\ttt{?draw\_base}, \ttt{?draw\_piecewise}, \ttt{?fill\_curve}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_errors}, \ttt{?draw\_symbols}, ' // &
	'\newline \ttt{\$fill\_options}, \ttt{\$draw\_options}, \ttt{\$err\_options}, ' // &
	'\ttt{\$symbol})'))
	call var_list%append_log (&
	var_str ("?normalize_bins"), .false., &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: flag that determines whether the weights shall be normalized ' // &
	'to the bin width or not. (cf. also \ttt{n\_bins}, \ttt{\$obs\_label}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, ' // &
	'\ttt{y\_max}, \ttt{\$gmlcode\_bg}, \ttt{\$gmlcode\_fg}, \ttt{?draw\_histogram}, ' // &
	'\newline \ttt{?draw\_base}, \ttt{?draw\_piecewise}, \ttt{?fill\_curve}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_errors}, \ttt{\$symbol}, \newline ' // &
	'\ttt{?draw\_symbols}, \ttt{\$fill\_options}, \ttt{\$draw\_options}, ' // &
	'\ttt{\$err\_options})'))
	call var_list%append_string (var_str ("$obs_label"), var_str (""), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: this is a string variable \ttt{\$obs\_label = "{\em ' // &
	'<LaTeX\_Code>}"} that allows to attach a label to a plotted ' // &
	'or histogrammed observable. (cf. also \ttt{n\_bins}, \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{?y\_log}, \ttt{?x\_log}, \ttt{graph\_width\_mm}, ' // &
	'\ttt{graph\_height\_mm}, \ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, ' // &
	'\ttt{y\_max}, \ttt{\$gmlcode\_bg}, \ttt{\$gmlcode\_fg}, \ttt{?draw\_base}, ' // &
	'\ttt{?draw\_histogram}, \ttt{?draw\_piecewise}, \newline \ttt{?fill\_curve}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_errors}, \ttt{\$symbol}, \ttt{?draw\_symbols}, ' // &
	'\ttt{\$fill\_options}, \ttt{\$draw\_options}, \ttt{\$err\_options})'))
	call var_list%append_string (var_str ("$obs_unit"), var_str (""), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: this is a string variable \ttt{\$obs\_unit = "{\em ' // &
	'<LaTeX\_Code>}"} that allows to attach a \LaTeX\ physical unit ' // &
	'to a plotted or histogrammed observable. (cf. also \ttt{n\_bins}, ' // &
	'\ttt{?normalize\_bins}, \ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{?y\_log}, \ttt{?x\_log}, ' // &
	'\ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, \ttt{x\_min}, ' // &
	'\ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{\$gmlcode\_fg}, \ttt{?draw\_base}, \ttt{?draw\_histogram}, ' // &
	'\ttt{?fill\_curve}, \ttt{?draw\_piecewise}, \ttt{?draw\_curve}, ' // &
	'\ttt{?draw\_errors}, \ttt{\$symbol}, \ttt{?draw\_symbols}, ' // &
	'\ttt{\$fill\_options}, \ttt{\$draw\_options}, \ttt{\$err\_options})'))
	call var_list%append_string (var_str ("$title"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('This string variable sets the title of ' // &
	'a plot in a \whizard\ analysis setup, e.g. a histogram or an ' // &
	'observable. The syntax is \ttt{\$title = "{\em <your title>}"}. ' // &
	'This title appears as a section header in the analysis file, ' // &
	'but not in the screen output of the analysis. (cf. also \ttt{n\_bins}, ' // &
	'\ttt{?normalize\_bins}, \ttt{\$obs\_unit}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{?y\_log}, \ttt{?x\_log}, ' // &
	'\ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, \ttt{x\_min}, ' // &
	'\ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{\$gmlcode\_fg}, \ttt{?draw\_base}, \ttt{?draw\_histogram}, ' // &
	'\ttt{?fill\_curve}, \ttt{?draw\_piecewise}, \newline \ttt{?draw\_curve}, ' // &
	'\ttt{?draw\_errors}, \ttt{\$symbol}, \ttt{?draw\_symbols}, ' // &
	'\ttt{\$fill\_options}, \ttt{\$draw\_options}, \ttt{\$err\_options})'))
	call var_list%append_string (var_str ("$description"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to specify ' // &
	'a description text for the analysis, \ttt{\$description = "{\em ' // &
	'<LaTeX analysis descr.>}"}. This line appears below the title ' // &
	'of a corresponding analysis, on top of the respective plot. ' // &
	'(cf. also \ttt{analysis}, \ttt{n\_bins}, \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{?y\_log}, ' // &
	'\ttt{?x\_log}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{\$gmlcode\_fg}, \ttt{?draw\_base}, \ttt{?draw\_histogram}, ' // &
	'\ttt{?fill\_curve}, \ttt{?draw\_piecewise}, \ttt{?draw\_curve}, ' // &
	'\ttt{?draw\_errors}, \ttt{\$symbol}, \ttt{?draw\_symbols}, ' // &
	'\ttt{\$fill\_options}, \ttt{\$draw\_options}, \ttt{\$err\_options})'))
	call var_list%append_string (var_str ("$x_label"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable, \ttt{\$x\_label = "{\em ' // &
	'<LaTeX code>}"}, that sets the $x$ axis label in a plot or ' // &
	'histogram in a \whizard\ analysis. (cf. also \ttt{analysis}, ' // &
	'\ttt{n\_bins}, \ttt{?normalize\_bins}, \ttt{\$obs\_unit}, \ttt{\$y\_label}, ' // &
	'\ttt{?y\_log}, \ttt{?x\_log}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \newline ' // &
	'\ttt{\$gmlcode\_bg}, \ttt{\$gmlcode\_fg}, \ttt{?draw\_base}, ' // &
	'\ttt{?draw\_histogram}, \ttt{?fill\_curve}, \newline \ttt{?draw\_piecewise}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_errors}, \ttt{\$symbol}, \ttt{?draw\_symbols}, ' // &
	'\ttt{\$fill\_options}, \ttt{\$draw\_options}, \ttt{\$err\_options})'))
	call var_list%append_string (var_str ("$y_label"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable, \ttt{\$y\_label = "{\em ' // &
	'<LaTeX\_code>}"}, that sets the $y$ axis label in a plot or ' // &
	'histogram in a \whizard\ analysis. (cf. also \ttt{analysis}, ' // &
	'\ttt{n\_bins}, \ttt{?normalize\_bins}, \ttt{\$obs\_unit}, \ttt{?y\_log}, ' // &
	'\ttt{?x\_log}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \newline ' // &
	'\ttt{\$gmlcode\_bg}, \ttt{\$gmlcode\_fg}, \ttt{?draw\_base}, ' // &
	'\ttt{?draw\_histogram}, \ttt{?fill\_curve}, \newline \ttt{?draw\_piecewise}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_errors}, \ttt{\$symbol}, \ttt{?draw\_symbols}, ' // &
	'\newline \ttt{\$fill\_options}, \ttt{\$draw\_options}, \ttt{\$err\_options})'))
	call var_list%append_int (var_str ("graph_width_mm"), 130, &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: integer value that sets the width of a graph or histogram ' // &
	'in millimeters. (cf. also \ttt{?normalize\_bins}, \ttt{\$obs\_label}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{graph\_height\_mm}, \ttt{?y\_log}, \ttt{?x\_log}, ' // &
	'\ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{\$gmlcode\_fg}, \ttt{?draw\_histogram}, \ttt{?draw\_base}, ' // &
	'\newline \ttt{?draw\_piecewise}, \ttt{?fill\_curve}, \ttt{?draw\_curve}, ' // &
	'\ttt{?draw\_errors}, \ttt{?draw\_symbols}, \newline \ttt{\$fill\_options}, ' // &
	'\ttt{\$draw\_options}, \ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_int (var_str ("graph_height_mm"), 90, &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: integer value that sets the height of a graph or histogram ' // &
	'in millimeters. (cf. also \ttt{?normalize\_bins}, \ttt{\$obs\_label}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{graph\_width\_mm}, \ttt{?y\_log}, \ttt{?x\_log}, ' // &
	'\ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{\$gmlcode\_fg}, \ttt{?draw\_histogram}, \ttt{?draw\_base}, ' // &
	'\newline \ttt{?draw\_piecewise}, \ttt{?fill\_curve}, \ttt{?draw\_curve}, ' // &
	'\ttt{?draw\_errors}, \ttt{?draw\_symbols}, \newline \ttt{\$fill\_options}, ' // &
	'\ttt{\$draw\_options}, \ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_log (var_str ("?y_log"), .false., &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: flag that makes the $y$ axis logarithmic. (cf. also ' // &
	'\ttt{?normalize\_bins}, \ttt{\$obs\_label}, \ttt{\$obs\_unit}, ' // &
	'\ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, \ttt{\$y\_label}, ' // &
	'\ttt{graph\_height\_mm}, \ttt{graph\_width\_mm}, \ttt{?y\_log}, ' // &
	'\ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \newline ' // &
	'\ttt{\$gmlcode\_bg}, \ttt{\$gmlcode\_fg}, \ttt{?draw\_histogram}, ' // &
	'\ttt{?draw\_base}, \ttt{?draw\_piecewise}, \newline \ttt{?fill\_curve}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_errors}, \ttt{?draw\_symbols}, ' // &
	'\ttt{\$fill\_options}, \newline \ttt{\$draw\_options}, \ttt{\$err\_options}, ' // &
	'\ttt{\$symbol})'))
	call var_list%append_log (var_str ("?x_log"), .false., &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: flag that makes the $x$ axis logarithmic. (cf. also ' // &
	'\ttt{?normalize\_bins}, \ttt{\$obs\_label}, \ttt{\$obs\_unit}, ' // &
	'\ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, \ttt{\$y\_label}, ' // &
	'\ttt{graph\_height\_mm}, \ttt{graph\_width\_mm}, \ttt{?y\_log}, ' // &
	'\ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \newline ' // &
	'\ttt{\$gmlcode\_bg}, \ttt{\$gmlcode\_fg}, \ttt{?draw\_histogram}, ' // &
	'\ttt{?draw\_base}, \ttt{?draw\_piecewise}, \newline \ttt{?fill\_curve}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_errors}, \ttt{?draw\_symbols}, ' // &
	'\ttt{\$fill\_options}, \newline \ttt{\$draw\_options}, \ttt{\$err\_options}, ' // &
	'\ttt{\$symbol})'))
	call var_list%append_real (var_str ("x_min"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: real parameter that sets the lower limit of the $x$ ' // &
	'axis plotting or histogram interval. (cf. also \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_label}, \ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \newline \ttt{?x\_log}, \ttt{graph\_width\_mm}, ' // &
	'\ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{\$gmlcode\_fg}, \ttt{?draw\_base}, \newline \ttt{?draw\_histogram}, ' // &
	'\ttt{?draw\_piecewise}, \ttt{?fill\_curve}, \ttt{?draw\_curve}, ' // &
	'\ttt{?draw\_errors}, \newline \ttt{?draw\_symbols}, \ttt{\$fill\_options}, ' // &
	'\ttt{\$draw\_options}, \ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_real (var_str ("x_max"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: real parameter that sets the upper limit of the $x$ ' // &
	'axis plotting or histogram interval. (cf. also \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_label}, \ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \newline \ttt{?x\_log}, \ttt{graph\_width\_mm}, ' // &
	'\ttt{x\_min}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{\$gmlcode\_fg}, \ttt{?draw\_base}, \newline \ttt{?draw\_histogram}, ' // &
	'\ttt{?draw\_piecewise}, \ttt{?fill\_curve}, \ttt{?draw\_curve}, ' // &
	'\ttt{?draw\_errors}, \newline \ttt{?draw\_symbols}, \ttt{\$fill\_options}, ' // &
	'\ttt{\$draw\_options}, \ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_real (var_str ("y_min"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: real parameter that sets the lower limit of the $y$ ' // &
	'axis plotting or histogram interval. (cf. also \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_label}, \ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \newline \ttt{?x\_log}, \ttt{graph\_width\_mm}, ' // &
	'\ttt{x\_max}, \ttt{y\_max}, \ttt{x\_min}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{\$gmlcode\_fg}, \ttt{?draw\_base}, \newline \ttt{?draw\_histogram}, ' // &
	'\ttt{?draw\_piecewise}, \ttt{?fill\_curve}, \ttt{?draw\_curve}, ' // &
	'\ttt{?draw\_errors}, \newline \ttt{?draw\_symbols}, \ttt{\$fill\_options}, ' // &
	'\ttt{\$draw\_options}, \ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_real (var_str ("y_max"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: real parameter that sets the upper limit of the $y$ ' // &
	'axis plotting or histogram interval. (cf. also \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_label}, \ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \newline \ttt{?x\_log}, \ttt{graph\_width\_mm}, ' // &
	'\ttt{x\_max}, \ttt{x\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{\$gmlcode\_fg}, \ttt{?draw\_base}, \newline \ttt{?draw\_histogram}, ' // &
	'\ttt{?draw\_piecewise}, \ttt{?fill\_curve}, \ttt{?draw\_curve}, ' // &
	'\ttt{?draw\_errors}, \newline \ttt{?draw\_symbols}, \ttt{\$fill\_options}, ' // &
	'\ttt{\$draw\_options}, \ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_string (var_str ("$gmlcode_bg"), var_str (""), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: string variable that allows to define a background ' // &
	'for plots and histograms (i.e. it is overwritten by the plot/histogram), ' // &
	'e.g. a grid: \ttt{\$gmlcode\_bg = "standardgrid.lr(5);"}. For ' // &
	'more details, see the \gamelan\ manual. (cf. also \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_label}, \ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{graph\_width\_mm}, ' // &
	'\ttt{graph\_height\_mm}, \ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, ' // &
	'\ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_fg}, ' // &
	'\ttt{?draw\_histogram}, \ttt{?draw\_base}, \ttt{?draw\_piecewise}, ' // &
	'\newline \ttt{?fill\_curve}, \ttt{?draw\_curve}, \ttt{?draw\_errors}, ' // &
	'\ttt{?draw\_symbols}, \ttt{\$fill\_options}, \newline \ttt{\$draw\_options}, ' // &
	'\ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_string (var_str ("$gmlcode_fg"), var_str (""), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: string variable that allows to define a foreground ' // &
	'for plots and histograms (i.e. it overwrites the plot/histogram), ' // &
	'e.g. a grid: \ttt{\$gmlcode\_bg = "standardgrid.lr(5);"}. For ' // &
	'more details, see the \gamelan\ manual. (cf. also \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_label}, \ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{graph\_width\_mm}, ' // &
	'\ttt{graph\_height\_mm}, \ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, ' // &
	'\ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{?draw\_histogram}, \ttt{?draw\_base}, \ttt{?draw\_piecewise}, ' // &
	'\newline \ttt{?fill\_curve}, \ttt{?draw\_curve}, \ttt{?draw\_errors}, ' // &
	'\ttt{?draw\_symbols}, \ttt{\$fill\_options}, \newline \ttt{\$draw\_options}, ' // &
	'\ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_log (var_str ("?draw_histogram"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: flag that tells \whizard\ to either plot data as a ' // &
	'histogram or as a continuous line (if $\to$ \ttt{?draw\_curve} ' // &
	'is set \ttt{true}). (cf. also \ttt{?normalize\_bins}, \ttt{\$obs\_label}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, ' // &
	'\ttt{y\_max}, \newline \ttt{\$gmlcode\_fg}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{?draw\_base}, \ttt{?draw\_piecewise}, \ttt{?fill\_curve}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_errors}, \ttt{?draw\_symbols}, ' // &
	'\ttt{\$fill\_options}, \ttt{\$draw\_options}, \ttt{\$err\_options}, ' // &
	'\ttt{\$symbol})'))
	call var_list%append_log (var_str ("?draw_base"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: flag that tells \whizard\ to insert a \ttt{base} statement ' // &
	'in the analysis code to calculate the plot data from a data ' // &
	'set. (cf. also \ttt{?normalize\_bins}, \ttt{\$obs\_label}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, ' // &
	'\ttt{y\_max}, \newline \ttt{\$gmlcode\_fg}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_piecewise}, \ttt{?fill\_curve}, ' // &
	'\ttt{\$symbol}, \newline \ttt{?draw\_histogram}, \ttt{?draw\_errors}, ' // &
	'\ttt{?draw\_symbols}, \ttt{\$fill\_options}, \ttt{\$draw\_options}, ' // &
	'\newline \ttt{\$err\_options})'))
	call var_list%append_log (var_str ("?draw_piecewise"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: flag that tells \whizard\ to data from a data set piecewise, ' // &
	'i.e. histogram style. (cf. also \ttt{?normalize\_bins}, \ttt{\$obs\_label}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, \ttt{x\_max}, ' // &
	'\ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_fg}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_base}, \ttt{?fill\_curve}, ' // &
	'\ttt{\$symbol}, \ttt{?draw\_histogram}, \ttt{?draw\_errors}, ' // &
	'\ttt{?draw\_symbols}, \ttt{\$fill\_options}, \ttt{\$draw\_options}, ' // &
	'\ttt{\$err\_options})'))
	call var_list%append_log (var_str ("?fill_curve"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: flag that tells \whizard\ to fill data curves (e.g. ' // &
	'as a histogram). The style can be set with $\to$ \ttt{\$fill\_options ' // &
	'= "{\em <LaTeX\_code>}"}. (cf. also \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_label}, \ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{graph\_width\_mm}, ' // &
	'\ttt{graph\_height\_mm}, \ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, ' // &
	'\ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \newline \ttt{\$gmlcode\_fg}, ' // &
	'\ttt{\$gmlcode\_bg}, \ttt{?draw\_base}, \ttt{?draw\_piecewise}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_histogram}, \ttt{?draw\_errors}, ' // &
	'\ttt{?draw\_symbols}, \ttt{\$fill\_options}, \ttt{\$draw\_options}, ' // &
	'\ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_log (var_str ("?draw_curve"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: flag that tells \whizard\ to either plot data as a ' // &
	'continuous line or as a histogram (if $\to$ \ttt{?draw\_histogram} ' // &
	'is set \ttt{true}). (cf. also \ttt{?normalize\_bins}, \ttt{\$obs\_label}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, ' // &
	'\ttt{y\_max}, \newline \ttt{\$gmlcode\_fg}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{?draw\_base}, \ttt{?draw\_piecewise}, \ttt{?fill\_curve}, ' // &
	'\ttt{?draw\_histogram}, \ttt{?draw\_errors}, \ttt{?draw\_symbols}, ' // &
	'\ttt{\$fill\_options}, \ttt{\$draw\_options}, \ttt{\$err\_options}, ' // &
	'\ttt{\$symbol})'))
	call var_list%append_log (var_str ("?draw_errors"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: flag that determines whether error bars should be drawn ' // &
	'or not. (cf. also \ttt{?normalize\_bins}, \ttt{\$obs\_label}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, ' // &
	'\ttt{y\_max}, \ttt{\$gmlcode\_fg}, \ttt{\$gmlcode\_bg}, \ttt{?draw\_base}, ' // &
	'\ttt{?draw\_piecewise}, \ttt{?fill\_curve}, \ttt{?draw\_histogram}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_symbols}, \ttt{\$fill\_options}, ' // &
	'\newline \ttt{\$draw\_options}, \ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_log (var_str ("?draw_symbols"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: flag that determines whether particular symbols (specified ' // &
	'by $\to$ \ttt{\$symbol = "{\em <LaTeX\_code>}"}) should be ' // &
	'used for plotting data points (cf. also \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_label}, \ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{graph\_width\_mm}, ' // &
	'\ttt{graph\_height\_mm}, \ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, ' // &
	'\ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_fg}, ' // &
	'\ttt{\$gmlcode\_bg}, \ttt{?draw\_base}, \ttt{?draw\_piecewise}, ' // &
	'\ttt{?fill\_curve}, \ttt{?draw\_histogram}, \ttt{?draw\_curve}, ' // &
	'\ttt{?draw\_errors}, \ttt{\$fill\_options}, \ttt{\$draw\_options}, ' // &
	'\newline \ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_string (var_str ("$fill_options"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: \ttt{\$fill\_options = "{\em <LaTeX\_code>}"} is a ' // &
	'string variable that allows to set fill options when plotting ' // &
	'data as filled curves with the $\to$ \ttt{?fill\_curve} flag. ' // &
	'For more details see the \gamelan\ manual. (cf. also \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_label}, \ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, ' // &
	'\ttt{\$x\_label}, \ttt{\$y\_label}, \ttt{graph\_width\_mm}, ' // &
	'\ttt{graph\_height\_mm}, \ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, ' // &
	'\ttt{x\_max}, \ttt{y\_min}, \ttt{y\_max}, \ttt{\$gmlcode\_fg}, ' // &
	'\ttt{\$gmlcode\_bg}, \ttt{?draw\_base}, \ttt{?draw\_piecewise}, ' // &
	'\ttt{?draw\_curve}, \ttt{?draw\_histogram}, \ttt{?draw\_errors}, ' // &
	'\newline \ttt{?draw\_symbols}, \ttt{?fill\_curve}, \ttt{\$draw\_options}, ' // &
	'\ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_string (var_str ("$draw_options"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: \ttt{\$draw\_options = "{\em <LaTeX\_code>}"} is a ' // &
	'string variable that allows to set specific drawing options ' // &
	'for plots and histograms. For more details see the \gamelan\ ' // &
	'manual. (cf. also \ttt{?normalize\_bins}, \ttt{\$obs\_label}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, ' // &
	'\ttt{y\_max}, \ttt{\$gmlcode\_fg}, \ttt{\$gmlcode\_bg}, \ttt{?draw\_base}, ' // &
	'\newline \ttt{?draw\_piecewise}, \ttt{?fill\_curve}, \ttt{?draw\_histogram}, ' // &
	'\ttt{?draw\_errors}, \ttt{?draw\_symbols}, \newline \ttt{\$fill\_options}, ' // &
	'\ttt{?draw\_histogram}, \ttt{\$err\_options}, \ttt{\$symbol})'))
	call var_list%append_string (var_str ("$err_options"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: \ttt{\$err\_options = "{\em <LaTeX\_code>}"} is a string ' // &
	'variable that allows to set specific drawing options for errors ' // &
	'in plots and histograms. For more details see the \gamelan\ ' // &
	'manual. (cf. also \ttt{?normalize\_bins}, \ttt{\$obs\_label}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, ' // &
	'\ttt{y\_max}, \ttt{\$gmlcode\_fg}, \ttt{\$gmlcode\_bg}, \ttt{?draw\_base}, ' // &
	'\ttt{?draw\_piecewise}, \ttt{?fill\_curve}, \ttt{?draw\_histogram}, ' // &
	'\ttt{?draw\_errors}, \newline \ttt{?draw\_symbols}, \ttt{\$fill\_options}, ' // &
	'\ttt{?draw\_histogram}, \ttt{\$draw\_options}, \ttt{\$symbol})'))
	call var_list%append_string (var_str ("$symbol"), &
	intrinsic=.true., &
	description=var_str ("Settings for \whizard's internal graphics " // &
	'output: \ttt{\$symbol = "{\em <LaTeX\_code>}"} is a string ' // &
	'variable for the symbols that should be used for plotting data ' // &
	'points. (cf. also \ttt{\$obs\_label}, \ttt{?normalize\_bins}, ' // &
	'\ttt{\$obs\_unit}, \ttt{\$title}, \ttt{\$description}, \ttt{\$x\_label}, ' // &
	'\ttt{\$y\_label}, \newline \ttt{graph\_width\_mm}, \ttt{graph\_height\_mm}, ' // &
	'\ttt{?y\_log}, \ttt{?x\_log}, \ttt{x\_min}, \ttt{x\_max}, \ttt{y\_min}, ' // &
	'\ttt{y\_max}, \newline \ttt{\$gmlcode\_fg}, \ttt{\$gmlcode\_bg}, ' // &
	'\ttt{?draw\_base}, \ttt{?draw\_piecewise}, \ttt{?fill\_curve}, ' // &
	'\newline \ttt{?draw\_histogram}, \ttt{?draw\_curve}, \ttt{?draw\_errors}, ' // &
	'\ttt{\$fill\_options}, \ttt{\$draw\_options}, \newline \ttt{\$err\_options}, ' // &
	'\ttt{?draw\_symbols})'))
	call var_list%append_log (&
	var_str ("?analysis_file_only"), .false., &
	intrinsic=.true., &
	description=var_str ('Allows to specify that only \LaTeX\ files ' // &
	"for \whizard's graphical analysis are written out, but not processed. " // &
	'(cf. \ttt{compile\_analysis}, \ttt{write\_analysis})'))
	end subroutine var_list_set_gamelan_defaults

	@ %def var_list_set_gamelan_defaults
	@ FastJet parameters and friends
	<<Variables: var list: TBP>>=
	procedure :: set_clustering_defaults => var_list_set_clustering_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_clustering_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_int (&
	var_str ("kt_algorithm"), &
	kt_algorithm, &
	intrinsic = .true., locked = .true., &
	description=var_str ('Specifies a jet algorithm for the ($\to$) ' // &
	'\ttt{jet\_algorithm} command, used in the ($\to$) \ttt{cluster} ' // &
	'subevent function. At the moment only available for the ' // &
	'interfaced external \fastjet\ package. (cf. also ' // &
	'\ttt{cambridge\_[for\_passive\_]algorithm}, ' // &
	'\ttt{plugin\_algorithm}, ' // &
	'\newline\ttt{genkt\_[for\_passive\_]algorithm}, ' // &
	'\ttt{ee\_[gen]kt\_algorithm}, \ttt{jet\_r})'))
	call var_list%append_int (&
	var_str ("cambridge_algorithm"), &
	cambridge_algorithm, intrinsic = .true., locked = .true., &
	description=var_str ('Specifies a jet algorithm for the ($\to$) ' // &
	'\ttt{jet\_algorithm} command, used in the ($\to$) \ttt{cluster} ' // &
	'subevent function. At the moment only available for the interfaced ' // &
	'external \fastjet\ package. (cf. also \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_for\_passive\_algorithm}, \ttt{plugin\_algorithm}, ' // &
	'\ttt{genkt\_[for\_passive\_]algorithm}, \ttt{ee\_[gen]kt\_algorithm}, ' // &
	'\ttt{jet\_r})'))
	call var_list%append_int (&
	var_str ("antikt_algorithm"), &
	antikt_algorithm, &
	intrinsic = .true., locked = .true., &
	description=var_str ('Specifies a jet algorithm for the ($\to$) ' // &
	'\ttt{jet\_algorithm} command, used in the ($\to$) \ttt{cluster} ' // &
	'subevent function. At the moment only available for the interfaced ' // &
	'external \fastjet\ package. (cf. also \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_[for\_passive\_]algorithm}, \ttt{plugin\_algorithm}, ' // &
	'\ttt{genkt\_[for\_passive\_]algorithm}, \ttt{ee\_[gen]kt\_algorithm}, ' // &
	'\ttt{jet\_r})'))
	call var_list%append_int (&
	var_str ("genkt_algorithm"), &
	genkt_algorithm, &
	intrinsic = .true., locked = .true., &
	description=var_str ('Specifies a jet algorithm for the ($\to$) ' // &
	'\ttt{jet\_algorithm} command, used in the ($\to$) \ttt{cluster} ' // &
	'subevent function. At the moment only available for the interfaced ' // &
	'external \fastjet\ package. (cf. also \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_for\_passive\_algorithm}, \ttt{plugin\_algorithm}, ' // &
	'\ttt{genkt\_for\_passive\_algorithm}, \ttt{ee\_[gen]kt\_algorithm}, ' // &
	'\ttt{jet\_r}), \ttt{jet\_p}'))
	call var_list%append_int (&
	var_str ("cambridge_for_passive_algorithm"), &
	cambridge_for_passive_algorithm, &
	intrinsic = .true., locked = .true., &
	description=var_str ('Specifies a jet algorithm for the ($\to$) ' // &
	'\ttt{jet\_algorithm} command, used in the ($\to$) \ttt{cluster} ' // &
	'subevent function. At the moment only available for the interfaced ' // &
	'external \fastjet\ package. (cf. also \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_algorithm}, \ttt{plugin\_algorithm}, \newline ' // &
	'\ttt{genkt\_[for\_passive\_]algorithm}, \ttt{ee\_[gen]kt\_algorithm}, ' // &
	'\ttt{jet\_r})'))
	call var_list%append_int (&
	var_str ("genkt_for_passive_algorithm"), &
	genkt_for_passive_algorithm, &
	intrinsic = .true., locked = .true., &
	description=var_str ('Specifies a jet algorithm for the ($\to$) ' // &
	'\ttt{jet\_algorithm} command, used in the ($\to$) \ttt{cluster} ' // &
	'subevent function. At the moment only available for the interfaced ' // &
	'external \fastjet\ package. (cf. also \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_for\_passive\_algorithm}, \ttt{plugin\_algorithm}, ' // &
	'\ttt{genkt\_algorithm}, \ttt{ee\_[gen]kt\_algorithm}, \ttt{jet\_r})'))
	call var_list%append_int (&
	var_str ("ee_kt_algorithm"), &
	ee_kt_algorithm, &
	intrinsic = .true., locked = .true., &
	description=var_str ('Specifies a jet algorithm for the ($\to$) ' // &
	'\ttt{jet\_algorithm} command, used in the ($\to$) \ttt{cluster} ' // &
	'subevent function. At the moment only available for the interfaced ' // &
	'external \fastjet\ package. (cf. also \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_[for\_passive\_]algorithm}, \ttt{plugin\_algorithm}, ' // &
	'\ttt{genkt\_[for\_passive\_]algorithm}, \ttt{ee\_genkt\_algorithm}, ' // &
	'\ttt{jet\_r})'))
	call var_list%append_int (&
	var_str ("ee_genkt_algorithm"), &
	ee_genkt_algorithm, &
	intrinsic = .true., locked = .true., &
	description=var_str ('Specifies a jet algorithm for the ($\to$) ' // &
	'\ttt{jet\_algorithm} command, used in the ($\to$) \ttt{cluster} ' // &
	'subevent function. At the moment only available for the interfaced ' // &
	'external \fastjet\ package. (cf. also \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_[for\_passive\_]algorithm}, \ttt{plugin\_algorithm}, ' // &
	'\ttt{genkt\_[for\_passive\_]algorithm}, \ttt{ee\_kt\_algorithm}, ' // &
	'\ttt{jet\_r}), \ttt{jet\_p})'))
	call var_list%append_int (&
	var_str ("plugin_algorithm"), &
	plugin_algorithm, &
	intrinsic = .true., locked = .true., &
	description=var_str ('Specifies a jet algorithm for the ($\to$) ' // &
	'\ttt{jet\_algorithm} command, used in the ($\to$) \ttt{cluster} ' // &
	'subevent function. At the moment only available for the interfaced ' // &
	'external \fastjet\ package. (cf. also \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_for\_passive\_algorithm}, \newline ' // &
	'\ttt{genkt\_[for\_passive\_]algorithm}, \ttt{ee\_[gen]kt\_algorithm}, ' // &
	'\ttt{jet\_r})'))
	call var_list%append_int (&
	var_str ("undefined_jet_algorithm"), &
	undefined_jet_algorithm, &
	intrinsic = .true., locked = .true., &
	description=var_str ('This is just a place holder for any kind of jet ' // &
	'jet algorithm that is not further specified. (cf. also \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_for\_passive\_algorithm}, \newline ' // &
	'\ttt{genkt\_[for\_passive\_]algorithm}, \ttt{ee\_[gen]kt\_algorithm}, ' // &
	'\ttt{jet\_r}, \ttt{plugin\_algorithm})'))
	call var_list%append_int (&
	var_str ("jet_algorithm"), undefined_jet_algorithm, &
	intrinsic = .true., &
	description=var_str ('Variable that allows to set the type of ' // &
	'jet algorithm when using the external \fastjet\ library. It ' // &
	'accepts one of the following algorithms: ($\to$) \ttt{kt\_algorithm}, ' // &
	'\newline ($\to$) \ttt{cambridge\_[for\_passive\_]algorithm}, ' // &
	'($\to$) \ttt{antikt\_algorithm}, ($\to$) \ttt{plugin\_algorithm}, ' // &
	'($\to$) \ttt{genkt\_[for\_passive\_]algorithm}, ($\to$) ' // &
	'\ttt{ee\_[gen]kt\_algorithm}). (cf. also \ttt{cluster}, ' // &
	'\ttt{jet\_p}, \ttt{jet\_r}, \ttt{jet\_ycut})'))
	call var_list%append_real (&
	var_str ("jet_r"), 0._default, &
	intrinsic = .true., &
	description=var_str ('Value for the distance measure $R$ used in ' // &
	'some algorithms that are available via the interface ' // &
	'to the \fastjet\ package. (cf. also \ttt{cluster}, \ttt{combine}, ' // &
	'\ttt{jet\_algorithm}, \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_[for\_passive\_]algorithm}, \ttt{antikt\_algorithm}, ' // &
	'\newline \ttt{plugin\_algorithm}, \ttt{genkt\_[for\_passive\_]algorithm}, ' // &
	'\ttt{ee\_[gen]kt\_algorithm}, \ttt{jet\_p}, \newline\ttt{jet\_ycut})'))
	call var_list%append_real (&
	var_str ("jet_p"), 0._default, &
	intrinsic = .true., &
	description=var_str ('Value for the exponent of the distance measure $R$ in ' // &
	'the generalized $k_T$ algorithms that are available via the interface ' // &
	'to the \fastjet\ package. (cf. also \ttt{cluster}, \ttt{combine}, ' // &
	'\ttt{jet\_algorithm}, \ttt{kt\_algorithm}, ' // &
	'\ttt{cambridge\_[for\_passive\_]algorithm}, \ttt{antikt\_algorithm}, ' // &
	'\newline \ttt{plugin\_algorithm}, \ttt{genkt\_[for\_passive\_]algorithm}, ' // &
	'\ttt{ee\_[gen]kt\_algorithm}, \ttt{jet\_r}, \newline\ttt{jet\_ycut})'))
	call var_list%append_real (&
	var_str ("jet_ycut"), 0._default, &
	intrinsic = .true., &
	description=var_str ('Value for the $y$ separation measure used in ' // &
	'the Cambridge-Aachen algorithms that are available via the interface ' // &
	'to the \fastjet\ package. (cf. also \ttt{cluster}, \ttt{combine}, ' // &
	'\ttt{kt\_algorithm}, \ttt{jet\_algorithm}, ' // &
	'\ttt{cambridge\_[for\_passive\_]algorithm}, \ttt{antikt\_algorithm}, ' // &
	'\newline \ttt{plugin\_algorithm}, \ttt{genkt\_[for\_passive\_]algorithm}, ' // &
	'\ttt{ee\_[gen]kt\_algorithm}, \ttt{jet\_p}, \newline\ttt{jet\_r})'))
	call var_list%append_log (&
	var_str ("?keep_flavors_when_clustering"), .false., &
	intrinsic = .true., &
	description=var_str ('The logical variable \ttt{?keep\_flavors\_when\_clustering ' // &
	'= true/false} specifies whether the flavor of a jet should be ' // &
	'kept during \ttt{cluster} when a jet consists of one quark and ' // &
	'zero or more gluons. Especially useful for cuts on b-tagged ' // &
	'jets (cf. also \ttt{cluster}).'))
	end subroutine var_list_set_clustering_defaults

	@ %def var_list_set_clustering_defaults
	@ Frixione isolation parameters and all that:
	<<Variables: var list: TBP>>=
	procedure :: set_isolation_defaults => var_list_set_isolation_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_isolation_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_real (var_str ("photon_iso_eps"), 1._default, &
	intrinsic=.true., &
	description=var_str ('Photon isolation parameter $\epsilon_\gamma$ ' // &
	'(energy fraction) from hep-ph/9801442 (cf. also ' // &
	'\ttt{photon\_iso\_n}, \ttt{photon\_iso\_r0})'))
	call var_list%append_real (var_str ("photon_iso_n"), 1._default, &
	intrinsic=.true., &
	description=var_str ('Photon isolation parameter $n$ ' // &
	'(cone function exponent) from hep-ph/9801442 (cf. also ' // &
	'\ttt{photon\_iso\_eps}, \ttt{photon\_iso\_r0})'))
	call var_list%append_real (var_str ("photon_iso_r0"), 0.4_default, &
	intrinsic=.true., &
	description=var_str ('Photon isolation parameter $R_0^\gamma$ ' // &
	'(isolation cone radius) from hep-ph/9801442 (cf. also ' // &
	'\ttt{photon\_iso\_eps}, \ttt{photon\_iso\_n})'))
	end subroutine var_list_set_isolation_defaults

	@ %def var_list_set_isolation_defaults
	<<Variables: var list: TBP>>=
	procedure :: set_eio_defaults => var_list_set_eio_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_eio_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_string (var_str ("$sample"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable to set the (base) name ' // &
	'of the event output format, e.g. \ttt{\$sample = "foo"} will ' // &
	'result in an intrinsic binary format event file \ttt{foo.evx}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{simulate}, \ttt{hepevt}, ' // &
	'\ttt{ascii}, \ttt{athena}, \ttt{debug}, \ttt{long}, \ttt{short}, ' // &
	'\ttt{hepmc}, \ttt{lhef}, \ttt{lha}, \ttt{stdhep}, \ttt{stdhep\_up}, ' // &
	'\ttt{\$sample\_normalization}, \ttt{?sample\_pacify}, \ttt{sample\_max\_tries})'))
	call var_list%append_string (var_str ("$sample_normalization"), var_str ("auto"),&
	intrinsic=.true., &
	description=var_str ('String variable that allows to set the ' // &
	'normalization of generated events. There are four options: ' // &
	'option \ttt{"1"} (events normalized to one), \ttt{"1/n"} (sum ' // &
	'of all events in a sample normalized to one), \ttt{"sigma"} ' // &
	'(events normalized to the cross section of the process), and ' // &
	'\ttt{"sigma/n"} (sum of all events normalized to the cross ' // &
	'section). The default is \ttt{"auto"} where unweighted events ' // &
	'are normalized to one, and weighted ones to the cross section. ' // &
	'(cf. also \ttt{simulate}, \ttt{\$sample}, \ttt{sample\_format}, ' // &
	'\ttt{?sample\_pacify}, \ttt{sample\_max\_tries}, \ttt{sample\_split\_n\_evt}, ' // &
	'\ttt{sample\_split\_n\_kbytes})'))
	call var_list%append_log (var_str ("?sample_pacify"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag, mainly for debugging purposes: suppresses ' // &
	'numerical noise in the output of a simulation. (cf. also \ttt{simulate}, ' // &
	'\ttt{\$sample}, \ttt{sample\_format}, \ttt{\$sample\_normalization}, ' // &
	'\ttt{sample\_max\_tries}, \ttt{sample\_split\_n\_evt}, ' // &
	'\ttt{sample\_split\_n\_kbytes})'))
	call var_list%append_log (var_str ("?sample_select"), .true., &
	intrinsic=.true., &
	description=var_str ('Logical that determines whether a selection should ' // &
	'be applied to the output event format or not. If set to \ttt{false} a ' // &
	'selection is only considered for the evaluation of observables. (cf. ' // &
	'\ttt{select}, \ttt{selection}, \ttt{analysis})'))
	call var_list%append_int (var_str ("sample_max_tries"), 10000, &
	intrinsic = .true., &
	description=var_str ('Integer variable that sets the maximal ' // &
	'number of tries for generating a single event. The event might ' // &
	'be vetoed because of a very low unweighting efficiency, errors ' // &
	'in the event transforms like decays, shower, matching, hadronization ' // &
	'etc. (cf. also \ttt{simulate}, \ttt{\$sample}, \ttt{sample\_format}, ' // &
	'\ttt{?sample\_pacify}, \ttt{\$sample\_normalization}, ' // &
	'\ttt{sample\_split\_n\_evt}, \newline\ttt{sample\_split\_n\_kbytes})'))
	call var_list%append_int (var_str ("sample_split_n_evt"), 0, &
	intrinsic = .true., &
	description=var_str ('When generating events, this integer parameter ' // &
	'\ttt{sample\_split\_n\_evt = {\em <num>}} gives the number \ttt{{\em ' // &
	'<num>}} of breakpoints in the event files, i.e. it splits the ' // &
	'event files into \ttt{{\em <num>} + 1} parts. The parts are ' // &
	'denoted by \ttt{{\em <proc\_name>}.{\em <split\_index>}.{\em ' // &
	'<evt\_extension>}}. Here, \ttt{{\em <split\_index>}} is an integer ' // &
	'running from \ttt{0} to \ttt{{\em <num>}}. The start can be ' // &
	'reset by ($\to$) \ttt{sample\_split\_index}. (cf. also \ttt{simulate}, ' // &
	'\ttt{\$sample}, \ttt{sample\_format}, \ttt{sample\_max\_tries}, ' // &
	'\ttt{\$sample\_normalization}, \ttt{?sample\_pacify}, ' // &
	'\ttt{sample\_split\_n\_kbytes})'))
	call var_list%append_int (var_str ("sample_split_n_kbytes"), 0, &
	intrinsic = .true., &
	description=var_str ('When generating events, this integer parameter ' // &
	'\ttt{sample\_split\_n\_kbytes = {\em <num>}} limits the file ' // &
	'size of event files. Whenever an event file has exceeded this ' // &
	'size, counted in kilobytes, the following events will be written ' // &
	'to a new file. The naming conventions are the same as for ' // &
	'\ttt{sample\_split\_n\_evt}. (cf. also \ttt{simulate}, \ttt{\$sample}, ' // &
	'\ttt{sample\_format}, \ttt{sample\_max\_tries}, \ttt{\$sample\_normalization}, ' // &
	'\ttt{?sample\_pacify})'))
	call var_list%append_int (var_str ("sample_split_index"), 0, &
	intrinsic = .true., &
	description=var_str ('Integer number that gives the starting ' // &
	'index \ttt{sample\_split\_index = {\em <split\_index>}} for ' // &
	'the numbering of event samples \ttt{{\em <proc\_name>}.{\em ' // &
	'<split\_index>}.{\em <evt\_extension>}} split by the \ttt{sample\_split\_n\_evt ' // &
	'= {\em <num>}}. The index runs from \ttt{{\em <split\_index>}} ' // &
	'to \newline \ttt{{\em <split\_index>} + {\em <num>}}. (cf. also \ttt{simulate}, ' // &
	'\ttt{\$sample}, \ttt{sample\_format}, \newline\ttt{\$sample\_normalization}, ' // &
	'\ttt{sample\_max\_tries}, \ttt{?sample\_pacify})'))
	call var_list%append_string (var_str ("$rescan_input_format"), var_str ("raw"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to set the ' // &
	'event format of the event file that is to be rescanned by the ' // &
	'($\to$) \ttt{rescan} command.'))
	call var_list%append_log (var_str ("?read_raw"), .true., &
	intrinsic=.true., &
	description=var_str ('This flag demands \whizard\ to (try to) ' // &
	'read events (from the internal binary format) first before ' // &
	'generating new ones. (cf. \ttt{simulate}, \ttt{?write\_raw}, ' // &
	'\ttt{\$sample}, \ttt{sample\_format})'))
	call var_list%append_log (var_str ("?write_raw"), .true., &
	intrinsic=.true., &
	description=var_str ("Flag to write out events in \whizard's " // &
	'internal binary format. (cf. \ttt{simulate}, \ttt{?read\_raw}, ' // &
	'\ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_raw"), var_str ("evx"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_raw ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	"to which events in \whizard's internal format are written. If " // &
	'not set, the default file name and suffix is \ttt{{\em <process\_name>}.evx}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_default"), var_str ("evt"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_default ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in a the standard \whizard\ verbose ASCII format ' // &
	'are written. If not set, the default file name and suffix is ' // &
	'\ttt{{\em <process\_name>}.evt}. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample})'))
	call var_list%append_string (var_str ("$debug_extension"), var_str ("debug"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$debug\_extension ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in a long verbose format with debugging information ' // &
	'are written. If not set, the default file name and suffix is ' // &
	'\ttt{{\em <process\_name>}.debug}. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample}, \ttt{?debug\_process}, \ttt{?debug\_transforms}, ' // &
	'\ttt{?debug\_decay}, \ttt{?debug\_verbose})'))
	call var_list%append_log (var_str ("?debug_process"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether process information ' // &
	'will be displayed in the ASCII debug event format ($\to$) \ttt{debug}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample}, \ttt{\$debug\_extension}, ' // &
	'\ttt{?debug\_decay}, \ttt{?debug\_transforms}, \ttt{?debug\_verbose})'))
	call var_list%append_log (var_str ("?debug_transforms"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether information ' // &
	'about event transforms will be displayed in the ASCII debug ' // &
	'event format ($\to$) \ttt{debug}. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample}, \ttt{?debug\_decay}, \ttt{\$debug\_extension}, ' // &
	'\ttt{?debug\_process}, \ttt{?debug\_verbose})'))
	call var_list%append_log (var_str ("?debug_decay"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether decay information ' // &
	'will be displayed in the ASCII debug event format ($\to$) \ttt{debug}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample}, \ttt{\$debug\_extension}, ' // &
	'\ttt{?debug\_process}, \ttt{?debug\_transforms}, \ttt{?debug\_verbose})'))
	call var_list%append_log (var_str ("?debug_verbose"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether extensive verbose ' // &
	'information will be included in the ASCII debug event format ' // &
	'($\to$) \ttt{debug}. (cf. also \ttt{sample\_format}, \ttt{\$sample}, ' // &
	'\ttt{\$debug\_extension}, \ttt{?debug\_decay}, \ttt{?debug\_transforms}, ' // &
	'\ttt{?debug\_process})'))
	call var_list%append_string (var_str ("$dump_extension"), var_str ("pset.dat"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$dump\_extension ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	"to which events in \whizard's internal particle set format " // &
	'are written. If not set, the default file name and suffix is ' // &
	'\ttt{{\em <process\_name>}.pset.dat}. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample}, \ttt{dump}, \ttt{?dump\_compressed}, ' // &
	'\ttt{?dump\_screen}, \ttt{?dump\_summary}, \ttt{?dump\_weights})'))
	call var_list%append_log (var_str ("?dump_compressed"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that, if set to \ttt{true}, issues ' // &
	'a very compressed and clear version of the \ttt{dump} ($\to$) ' // &
	'event format. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample}, \ttt{dump}, \ttt{\$dump\_extension}, ' // &
	'\ttt{?dump\_screen}, \ttt{?dump\_summary}, \ttt{?dump\_weights})'))
	call var_list%append_log (var_str ("?dump_weights"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that, if set to \ttt{true}, includes ' // &
	'cross sections, weights and excess in the \ttt{dump} ($\to$) ' // &
	'event format. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample}, \ttt{dump}, \ttt{?dump\_compressed}, ' // &
	'\ttt{\$dump\_extension}, \ttt{?dump\_screen}, \ttt{?dump\_summary})'))
	call var_list%append_log (var_str ("?dump_summary"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that, if set to \ttt{true}, includes ' // &
	'a summary with momentum sums for incoming and outgoing particles ' // &
	'as well as for beam remnants in the \ttt{dump} ($\to$) ' // &
	'event format. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample}, \ttt{dump}, \ttt{?dump\_compressed}, ' // &
	'\ttt{\$dump\_extension}, \ttt{?dump\_screen}, \ttt{?dump\_weights})'))
	call var_list%append_log (var_str ("?dump_screen"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that, if set to \ttt{true}, outputs ' // &
	'events for the \ttt{dump} ($\to$) event format on screen ' // &
	' instead of to a file. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample}, \ttt{dump}, \ttt{?dump\_compressed}, ' // &
	'\ttt{\$dump\_extension}, \ttt{?dump\_summary}, \ttt{?dump\_weights})'))
	call var_list%append_log (var_str ("?hepevt_ensure_order"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag to ensure that the particle set confirms ' // &
	'the HEPEVT standard. This involves some copying and reordering ' // &
	'to guarantee that mothers and daughters are always next to ' // &
	'each other. Usually this is not necessary.'))
	call var_list%append_string (var_str ("$extension_hepevt"), var_str ("hepevt"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_hepevt ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the \whizard\ version 1 style HEPEVT ASCII ' // &
	'format are written. If not set, the default file name and suffix ' // &
	'is \ttt{{\em <process\_name>}.hepevt}. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_ascii_short"), &
	var_str ("short.evt"), intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_ascii\_short ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the so called short variant of the \whizard\ ' // &
	'version 1 style HEPEVT ASCII format are written. If not set, ' // &
	'the default file name and suffix is \ttt{{\em <process\_name>}.short.evt}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_ascii_long"), &
	var_str ("long.evt"), intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_ascii\_long ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the so called long variant of the \whizard\ ' // &
	'version 1 style HEPEVT ASCII format are written. If not set, ' // &
	'the default file name and suffix is \ttt{{\em <process\_name>}.long.evt}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_athena"), &
	var_str ("athena.evt"), intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_athena ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the ATHENA file format are written. If not ' // &
	'set, the default file name and suffix is \ttt{{\em <process\_name>}.athena.evt}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_mokka"), &
	var_str ("mokka.evt"), intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_mokka ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the MOKKA format are written. If not set, ' // &
	'the default file name and suffix is \ttt{{\em <process\_name>}.mokka.evt}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$lhef_version"), var_str ("2.0"), &
	intrinsic = .true., &
	description=var_str ('Specifier for the Les Houches Accord (LHEF) ' // &
	'event format files with XML headers to discriminate among different ' // &
	'versions of this format. (cf. also \ttt{\$sample}, \ttt{sample\_format}, ' // &
	'\ttt{lhef}, \ttt{\$lhef\_extension}, \ttt{\$lhef\_extension}, ' // &
	'\ttt{?lhef\_write\_sqme\_prc}, \ttt{?lhef\_write\_sqme\_ref}, ' // &
	'\ttt{?lhef\_write\_sqme\_alt})'))
	call var_list%append_string (var_str ("$lhef_extension"), var_str ("lhe"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$lhef\_extension ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the LHEF format are written. If not set, ' // &
	'the default file name and suffix is \ttt{{\em <process\_name>}.lhe}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample}, \ttt{lhef}, ' // &
	'\ttt{\$lhef\_extension}, \ttt{\$lhef\_version}, \ttt{?lhef\_write\_sqme\_prc}, ' // &
	'\ttt{?lhef\_write\_sqme\_ref}, \ttt{?lhef\_write\_sqme\_alt})'))
	call var_list%append_log (var_str ("?lhef_write_sqme_prc"), .true., &
	intrinsic = .true., &
	description=var_str ('Flag that decides whether in the ($\to$) ' // &
	'\ttt{lhef} event format the weights of the squared matrix element ' // &
	'of the corresponding process shall be written in the LHE file. ' // &
	'(cf. also \ttt{\$sample}, \ttt{sample\_format}, \ttt{lhef}, ' // &
	'\ttt{\$lhef\_extension}, \ttt{\$lhef\_extension}, \ttt{?lhef\_write\_sqme\_ref}, ' // &
	'\newline \ttt{?lhef\_write\_sqme\_alt})'))
	call var_list%append_log (var_str ("?lhef_write_sqme_ref"), .false., &
	intrinsic = .true., &
	description=var_str ('Flag that decides whether in the ($\to$) ' // &
	'\ttt{lhef} event format reference weights of the squared matrix ' // &
	'element shall be written in the LHE file. (cf. also \ttt{\$sample}, ' // &
	'\ttt{sample\_format}, \ttt{lhef}, \ttt{\$lhef\_extension}, \ttt{\$lhef\_extension}, ' // &
	'\ttt{?lhef\_write\_sqme\_prc}, \ttt{?lhef\_write\_sqme\_alt})'))
	call var_list%append_log (var_str ("?lhef_write_sqme_alt"), .true., &
	intrinsic = .true., &
	description=var_str ('Flag that decides whether in the ($\to$) ' // &
	'\ttt{lhef} event format alternative weights of the squared matrix ' // &
	'element shall be written in the LHE file. (cf. also \ttt{\$sample}, ' // &
	'\ttt{sample\_format}, \ttt{lhef}, \ttt{\$lhef\_extension}, \ttt{\$lhef\_extension}, ' // &
	'\ttt{?lhef\_write\_sqme\_prc}, \ttt{?lhef\_write\_sqme\_ref})'))
	call var_list%append_string (var_str ("$extension_lha"), var_str ("lha"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_lha ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the (deprecated) LHA format are written. ' // &
	'If not set, the default file name and suffix is \ttt{{\em <process\_name>}.lha}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_hepmc"), var_str ("hepmc"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_hepmc ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the HepMC format are written. If not set, ' // &
	'the default file name and suffix is \ttt{{\em <process\_name>}.hepmc}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_log (var_str ("?hepmc_output_cross_section"), .false., &
	intrinsic = .true., &
	description=var_str ('Flag for the HepMC event format that allows ' // &
	'to write out the cross section (and error) from the integration ' // &
	'together with each HepMC event. This can be used by programs ' // &
	'like Rivet to scale histograms according to the cross section. ' // &
	'(cf. also \ttt{hepmc})'))
	call var_list%append_string (var_str ("$hepmc3_mode"), var_str ("HepMC3"), &
	intrinsic = .true., &
	description=var_str ('This specifies the writer mode for HepMC3. ' // &
	'Possible values are \ttt{HepMC2}, \ttt{HepMC3} (default), ' // &
	'\ttt{HepEVT}, \ttt{Root}. and \ttt{RootTree} (cf. also \ttt{hepmc})'))
	call var_list%append_string (var_str ("$extension_lcio"), var_str ("slcio"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_lcio ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the LCIO format are written. If not set, ' // &
	'the default file name and suffix is \ttt{{\em <process\_name>}.slcio}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_stdhep"), var_str ("hep"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_stdhep ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the StdHEP format via the HEPEVT common ' // &
	'block are written. If not set, the default file name and suffix ' // &
	'is \ttt{{\em <process\_name>}.hep}. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_stdhep_up"), &
	var_str ("up.hep"), intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_stdhep\_up ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the StdHEP format via the HEPRUP/HEPEUP ' // &
	'common blocks are written. \ttt{{\em <process\_name>}.up.hep} ' // &
	'is the default file name and suffix, if this variable not set. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_stdhep_ev4"), &
	var_str ("ev4.hep"), intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_stdhep\_ev4 ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the StdHEP format via the HEPEVT/HEPEV4 ' // &
	'common blocks are written. \ttt{{\em <process\_name>}.up.hep} ' // &
	'is the default file name and suffix, if this variable not set. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_hepevt_verb"), &
	var_str ("hepevt.verb"), intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_hepevt\_verb ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the \whizard\ version 1 style extended or ' // &
	'verbose HEPEVT ASCII format are written. If not set, the default ' // &
	'file name and suffix is \ttt{{\em <process\_name>}.hepevt.verb}. ' // &
	'(cf. also \ttt{sample\_format}, \ttt{\$sample})'))
	call var_list%append_string (var_str ("$extension_lha_verb"), &
	var_str ("lha.verb"), intrinsic=.true., &
	description=var_str ('String variable that allows via \ttt{\$extension\_lha\_verb ' // &
	'= "{\em <suffix>}"} to specify the suffix for the file \ttt{name.suffix} ' // &
	'to which events in the (deprecated) extended or verbose LHA ' // &
	'format are written. If not set, the default file name and suffix ' // &
	'is \ttt{{\em <process\_name>}.lha.verb}. (cf. also \ttt{sample\_format}, ' // &
	'\ttt{\$sample})'))
	end subroutine var_list_set_eio_defaults

	@ %def var_list_set_eio_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_shower_defaults => var_list_set_shower_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_shower_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_log (var_str ("?allow_shower"), .true., &
	intrinsic=.true., &
	description=var_str ('Master flag to switch on (initial and ' // &
	'final state) parton shower, matching/merging as an event ' // &
	'transform. As a default, it is switched on. (cf. also \ttt{?ps\_ ' // &
	'....}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_log (var_str ("?ps_fsr_active"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that switches final-state QCD radiation ' // &
	'(FSR) on. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, ' // &
	'\ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_log (var_str ("?ps_isr_active"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag that switches initial-state QCD ' // &
	'radiation (ISR) on. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ' // &
	'...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_log (var_str ("?ps_taudec_active"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag to switch on $\tau$ decays, at ' // &
	'the moment only via the included external package \ttt{TAUOLA} ' // &
	'and \ttt{PHOTOS}. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ' // &
	'...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_log (var_str ("?muli_active"), .false., &
	intrinsic=.true., &
	description=var_str ("Master flag that switches on \whizard's " // &
	'module for multiple interaction with interleaved QCD parton ' // &
	'showers for hadron colliders. Note that this feature is still ' // &
	'experimental. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ' // &
	'...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...})'))
	call var_list%append_string (var_str ("$shower_method"), var_str ("WHIZARD"), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to specify ' // &
	'which parton shower is being used, the default, \ttt{"WHIZARD"}, ' // &
	'is one of the in-house showers of \whizard. Other possibilities ' // &
	'at the moment are only \ttt{"PYTHIA6"}.'))
	call var_list%append_log (var_str ("?shower_verbose"), .false., &
	intrinsic=.true., &
	description=var_str ('Flag to switch on verbose messages when ' // &
	'using shower and/or hadronization. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...},'))
	call var_list%append_string (var_str ("$ps_PYTHIA_PYGIVE"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to pass options ' // &
	'for tunes etc. to the attached \pythia\ parton shower or hadronization, ' // &
	'e.g.: \ttt{\$ps\_PYTHIA\_PYGIVE = "MSTJ(41)=1"}. (cf. also ' // &
	'\newline \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_string (var_str ("$ps_PYTHIA8_config"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to pass options ' // &
	'for tunes etc. to the attached \pythia\ttt{8} parton shower or hadronization, ' // &
	'e.g.: \ttt{\$ps\_PYTHIA8\_config = "PartonLevel:MPI = off"}. (cf. also ' // &
	'\newline \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_string (var_str ("$ps_PYTHIA8_config_file"), var_str (""), &
	intrinsic=.true., &
	description=var_str ('String variable that allows to pass a filename to a ' // &
	'\pythia\ttt{8} configuration file.'))
	call var_list%append_real (&
	var_str ("ps_mass_cutoff"), 1._default, intrinsic = .true., &
	description=var_str ('Real value that sets the QCD parton shower ' // &
	'lower cutoff scale, where hadronization sets in. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (&
	var_str ("ps_fsr_lambda"), 0.29_default, intrinsic = .true., &
	description=var_str ('By this real parameter, the value of $\Lambda_{QCD}$ ' // &
	'used in running $\alpha_s$ for time-like showers is set (except ' // &
	'for showers in the decay of a resonance). (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (&
	var_str ("ps_isr_lambda"), 0.29_default, intrinsic = .true., &
	description=var_str ('By this real parameter, the value of $\Lambda_{QCD}$ ' // &
	'used in running $\alpha_s$ for space-like showers is set. (cf. ' // &
	'also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, ' // &
	'\ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_int (&
	var_str ("ps_max_n_flavors"), 5, intrinsic = .true., &
	description=var_str ('This integer parameter sets the maxmimum ' // &
	'number of flavors that can be produced in a QCD shower $g\to ' // &
	'q\bar q$. It is also used as the maximal number of active flavors ' // &
	'for the running of $\alpha_s$ in the shower (with a minimum ' // &
	'of 3). (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_log (var_str ("?ps_isr_alphas_running"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether a running ' // &
	'$\alpha_s$ is taken in space-like QCD parton showers. (cf. ' // &
	'also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, ' // &
	'\ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_log (var_str ("?ps_fsr_alphas_running"), .true., &
	intrinsic=.true., &
	description=var_str ('Flag that decides whether a running ' // &
	'$\alpha_s$ is taken in time-like QCD parton showers. (cf. ' // &
	'also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, ' // &
	'\ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str ("ps_fixed_alphas"), &
	0._default, intrinsic = .true., &
	description=var_str ('This real parameter sets the value of $\alpha_s$ ' // &
	'if it is (cf. $\to$ \ttt{?ps\_isr\_alphas\_running}, \newline ' // &
	'\ttt{?ps\_fsr\_alphas\_running}) not running in initial and/or ' // &
	'final-state QCD showers. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ' // &
	'...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_log (var_str ("?ps_isr_pt_ordered"), .false., &
	intrinsic=.true., &
	description=var_str ('By this flag, it can be switched between ' // &
	'the analytic QCD ISR shower (\ttt{false}, default) and the ' // &
	'$p_T$ ISR QCD shower (\ttt{true}). (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_log (var_str ("?ps_isr_angular_ordered"), .true., &
	intrinsic=.true., &
	description=var_str ('If switched one, this flag forces opening ' // &
	'angles of emitted partons in the QCD ISR shower to be strictly ' // &
	'ordered, i.e. increasing towards the hard interaction. (cf. ' // &
	'also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, ' // &
	'\ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("ps_isr_primordial_kt_width"), 0._default, intrinsic = .true., &
	description=var_str ('This real parameter sets the width $\sigma ' // &
	'= \braket{k_T^2}$ for the Gaussian primordial $k_T$ distribution ' // &
	'inside the hadron, given by: $\exp[-k_T^2/\sigma^2] k_T dk_T$. ' // &
	'(cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("ps_isr_primordial_kt_cutoff"), 5._default, intrinsic = .true., &
	description=var_str ('Real parameter that sets the upper cutoff ' // &
	'for the primordial $k_T$ distribution inside a hadron. (cf. ' // &
	'also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, ' // &
	'\ttt{?hadronization\_active}, \ttt{?mlm\_ ...})'))
	call var_list%append_real (var_str &
	("ps_isr_z_cutoff"), 0.999_default, intrinsic = .true., &
	description=var_str ('This real parameter allows to set the upper ' // &
	'cutoff on the splitting variable $z$ in space-like QCD parton ' // &
	'showers. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, ' // &
	'\ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("ps_isr_minenergy"), 1._default, intrinsic = .true., &
	description=var_str ('By this real parameter, the minimal effective ' // &
	'energy (in the c.m. frame) of a time-like or on-shell-emitted ' // &
	'parton in a space-like QCD shower is set. For a hard subprocess ' // &
	'that is not in the rest frame, this number is roughly reduced ' // &
	'by a boost factor $1/\gamma$ to the rest frame of the hard scattering ' // &
	'process. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, ' // &
	'\ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("ps_isr_tscalefactor"), 1._default, intrinsic = .true., &
	description=var_str ('The $Q^2$ scale of the hard scattering ' // &
	'process is multiplied by this real factor to define the maximum ' // &
	'parton virtuality allowed in time-like QCD showers. This does ' // &
	'only apply to $t$- and $u$-channels, while for $s$-channel resonances ' // &
	'the maximum virtuality is set by $m^2$. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_log (var_str &
	("?ps_isr_only_onshell_emitted_partons"), .false., intrinsic=.true., &
	description=var_str ('This flag if set true sets all emitted ' // &
	'partons off space-like showers on-shell, i.e. it would not allow ' // &
	'associated time-like showers. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?hadronization\_active})'))
	end subroutine var_list_set_shower_defaults

	@ %def var_list_set_shower_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_hadronization_defaults => var_list_set_hadronization_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_hadronization_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_log &
	(var_str ("?allow_hadronization"), .true., intrinsic=.true., &
	description=var_str ('Master flag to switch on hadronization ' // &
	'as an event transform. As a default, it is switched on. (cf. ' // &
	'also \ttt{?ps\_ ....}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, ' // &
	'\ttt{?hadronization\_active})'))
	call var_list%append_log &
	(var_str ("?hadronization_active"), .false., intrinsic=.true., &
	description=var_str ('Master flag to switch hadronization (through ' // &
	'the attached \pythia\ package) on or off. As a default, it is ' // &
	'off. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{?mlm\_ ...})'))
	call var_list%append_string &
	(var_str ("$hadronization_method"), var_str ("PYTHIA6"), intrinsic = .true., &
	description=var_str ("Determines whether \whizard's own " // &
	"hadronization or the (internally included) \pythiasix\ should be used."))
	call var_list%append_real &
	(var_str ("hadron_enhanced_fraction"), 0.01_default, intrinsic = .true., &
	description=var_str ('Fraction of Lund strings that break with enhanced ' // &
	'width. [not yet active]'))
	call var_list%append_real &
	(var_str ("hadron_enhanced_width"), 2.0_default, intrinsic = .true., &
	description=var_str ('Enhancement factor for the width of breaking ' // &
	'Lund strings. [not yet active]'))
	end subroutine var_list_set_hadronization_defaults

	@ %def var_list_set_hadronization_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_tauola_defaults => var_list_set_tauola_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_tauola_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_log (&
	var_str ("?ps_tauola_photos"), .false., intrinsic=.true., &
	description=var_str ('Flag to switch on \ttt{PHOTOS} for photon ' // &
	'showering inside the \ttt{TAUOLA} package. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?ps\_taudec\_active})'))
	call var_list%append_log (&
	var_str ("?ps_tauola_transverse"), .false., intrinsic=.true., &
	description=var_str ('Flag to switch transverse $\tau$ polarization ' // &
	'on or off for Higgs decays into $\tau$ leptons. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?ps\_taudec\_active})'))
	call var_list%append_log (&
	var_str ("?ps_tauola_dec_rad_cor"), .true., intrinsic=.true., &
	description=var_str ('Flag to switch radiative corrections for ' // &
	'$\tau$ decays in \ttt{TAUOLA} on or off. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?ps\_taudec\_active})'))
	call var_list%append_int (&
	var_str ("ps_tauola_dec_mode1"), 0, intrinsic = .true., &
	description=var_str ('Integer code to request a specific $\tau$ ' // &
	'decay within \ttt{TAUOLA} for the decaying $\tau$, and -- ' // &
	'in correlated decays -- for the second $\tau$. For more information ' // &
	'cf. the comments in the code or the \ttt{TAUOLA} manual. ' // &
	'(cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{?mlm\_ ...}, \ttt{?ps\_taudec\_active})'))
	call var_list%append_int (&
	var_str ("ps_tauola_dec_mode2"), 0, intrinsic = .true., &
	description=var_str ('Integer code to request a specific $\tau$ ' // &
	'decay within \ttt{TAUOLA} for the decaying $\tau$, and -- ' // &
	'in correlated decays -- for the second $\tau$. For more information ' // &
	'cf. the comments in the code or the \ttt{TAUOLA} manual. ' // &
	'(cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{?mlm\_ ...}, \ttt{?ps\_taudec\_active})'))
	call var_list%append_real (&
	var_str ("ps_tauola_mh"), 125._default, intrinsic = .true., &
	description=var_str ('Real option to set the Higgs mass for Higgs ' // &
	'decays into $\tau$ leptons in the interface to \ttt{TAUOLA}. ' // &
	'(cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{?mlm\_ ...}, \ttt{?ps\_taudec\_active})'))
	call var_list%append_real (&
	var_str ("ps_tauola_mix_angle"), 90._default, intrinsic = .true., &
	description=var_str ('Option to set the mixing angle between ' // &
	'scalar and pseudoscalar Higgs bosons for Higgs decays into $\tau$ ' // &
	'leptons in the interface to \ttt{TAUOLA}. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{?mlm\_ ...}, \ttt{?ps\_taudec\_active})'))
	call var_list%append_log (&
	var_str ("?ps_tauola_pol_vector"), .false., intrinsic = .true., &
	description=var_str ('Flag to decide whether for transverse $\tau$ ' // &
	'polarization, polarization information should be taken from ' // &
	'\ttt{TAUOLA} or not. The default is just based on random numbers. ' // &
	'(cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{?mlm\_ ...}, \ttt{?ps\_taudec\_active})'))
	end subroutine var_list_set_tauola_defaults

	@ %def var_list_set_tauola_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_mlm_matching_defaults => var_list_set_mlm_matching_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_mlm_matching_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_log (var_str ("?mlm_matching"), .false., &
	intrinsic=.true., &
	description=var_str ('Master flag to switch on MLM (LO) jet ' // &
	'matching between hard matrix elements and the QCD parton ' // &
	'shower. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, ' // &
	'\ttt{\$ps\_ ...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_Qcut_ME"), 0._default, intrinsic = .true., &
	description=var_str ('Real parameter that in the MLM jet matching ' // &
	'between hard matrix elements and QCD parton shower sets a possible ' // &
	'virtuality cut on jets from the hard matrix element. (cf. also ' // &
	'\ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{mlm\_ ' // &
	'...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_Qcut_PS"), 0._default, intrinsic = .true., &
	description=var_str ('Real parameter that in the MLM jet matching ' // &
	'between hard matrix elements and QCD parton shower sets a possible ' // &
	'virtuality cut on jets from the parton shower. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_ptmin"), 0._default, intrinsic = .true., &
	description=var_str ('This real parameter sets a minimal $p_T$ ' // &
	'that enters the $y_{cut}$ jet clustering measure in the MLM ' // &
	'jet matching between hard matrix elements and QCD parton showers. ' // &
	'(cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_etamax"), 0._default, intrinsic = .true., &
	description=var_str ('This real parameter sets a maximal pseudorapidity ' // &
	'that enters the MLM jet matching between hard matrix elements ' // &
	'and QCD parton showers. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ' // &
	'...}, \ttt{\$ps\_ ...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_Rmin"), 0._default, intrinsic = .true., &
	description=var_str ('Real parameter that sets a minimal $R$ ' // &
	'distance value that enters the $y_{cut}$ jet clustering measure ' // &
	'in the MLM jet matching between hard matrix elements and QCD ' // &
	'parton showers. (cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ' // &
	'...}, \ttt{\$ps\_ ...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_Emin"), 0._default, intrinsic = .true., &
	description=var_str ('Real parameter that sets a minimal energy ' // &
	'$E_{min}$ value as an infrared cutoff in the MLM jet matching ' // &
	'between hard matrix elements and QCD parton showers. (cf. also ' // &
	'\ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{mlm\_ ' // &
	'...}, \ttt{?hadronization\_active})'))
	call var_list%append_int (var_str &
	("mlm_nmaxMEjets"), 0, intrinsic = .true., &
	description=var_str ('This integer sets the maximal number of ' // &
	'jets that are available from hard matrix elements in the MLM ' // &
	'jet matching between hard matrix elements and QCD parton shower. ' // &
	'(cf. also \ttt{?allow\_shower}, \ttt{?ps\_ ...}, \ttt{\$ps\_ ' // &
	'...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_ETclusfactor"), 0.2_default, intrinsic = .true., &
	description=var_str ('This real parameter is a factor that enters ' // &
	'the calculation of the $y_{cut}$ measure for jet clustering ' // &
	'after the parton shower in the MLM jet matching between hard ' // &
	'matrix elements and QCD parton showers. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_ETclusminE"), 5._default, intrinsic = .true., &
	description=var_str ('This real parameter is a minimal energy ' // &
	'that enters the calculation of the $y_{cut}$ measure for jet ' // &
	'clustering after the parton shower in the MLM jet matching between ' // &
	'hard matrix elements and QCD parton showers. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_etaclusfactor"), 1._default, intrinsic = .true., &
	description=var_str ('This real parameter is a factor that enters ' // &
	'the calculation of the $y_{cut}$ measure for jet clustering ' // &
	'after the parton shower in the MLM jet matching between hard ' // &
	'matrix elements and QCD parton showers. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_Rclusfactor"), 1._default, intrinsic = .true., &
	description=var_str ('This real parameter is a factor that enters ' // &
	'the calculation of the $y_{cut}$ measure for jet clustering ' // &
	'after the parton shower in the MLM jet matching between hard ' // &
	'matrix elements and QCD parton showers. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))
	call var_list%append_real (var_str &
	("mlm_Eclusfactor"), 1._default, intrinsic = .true., &
	description=var_str ('This real parameter is a factor that enters ' // &
	'the calculation of the $y_{cut}$ measure for jet clustering ' // &
	'after the parton shower in the MLM jet matching between hard ' // &
	'matrix elements and QCD parton showers. (cf. also \ttt{?allow\_shower}, ' // &
	'\ttt{?ps\_ ...}, \ttt{\$ps\_ ...}, \ttt{mlm\_ ...}, \ttt{?hadronization\_active})'))

	end subroutine var_list_set_mlm_matching_defaults

	@ %def var_list_set_mlm_matching_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_powheg_matching_defaults => &
	var_list_set_powheg_matching_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_powheg_matching_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_log (var_str ("?powheg_matching"), &
	.false., intrinsic = .true., &
	description=var_str ('Activates Powheg matching. Needs to be ' // &
	'combined with the \ttt{?combined\_nlo\_integration}-method.'))
	call var_list%append_log (var_str ("?powheg_use_singular_jacobian"), &
	.false., intrinsic = .true., &
	description=var_str ('This allows to give a different ' // &
	'normalization of the Jacobian, resulting in an alternative ' // &
	'POWHEG damping in the singular regions.'))
	call var_list%append_int (var_str ("powheg_grid_size_xi"), &
	5, intrinsic = .true., &
	description=var_str ('Number of $\xi$ points in the POWHEG grid.'))
	call var_list%append_int (var_str ("powheg_grid_size_y"), &
	5, intrinsic = .true., &
	description=var_str ('Number of $y$ points in the POWHEG grid.'))
	call var_list%append_int (var_str ("powheg_grid_sampling_points"), &
	500000, intrinsic = .true., &
	description=var_str ('Number of calls used to initialize the ' // &
	'POWHEG grid.'))
	call var_list%append_real (var_str ("powheg_pt_min"), &
	1._default, intrinsic = .true., &
	description=var_str ('Lower $p_T$-cut-off for the POWHEG ' // &
	'hardest emission.'))
	call var_list%append_real (var_str ("powheg_lambda"), &
	LAMBDA_QCD_REF, intrinsic = .true., &
	description=var_str ('Reference scale of the $\alpha_s$ evolution ' // &
	'in the POWHEG matching algorithm.'))
	call var_list%append_log (var_str ("?powheg_rebuild_grids"), &
	.false., intrinsic = .true., &
	description=var_str ('If set to \ttt{true}, the existing POWHEG ' // &
	'grid is discarded and a new one is generated.'))
	call var_list%append_log (var_str ("?powheg_test_sudakov"), &
	.false., intrinsic = .true., &
	description=var_str ('Performs an internal consistency check ' // &
	'on the POWHEG event generation.'))
	call var_list%append_log (var_str ("?powheg_disable_sudakov"), &
	.false., intrinsic = .true., &
	description=var_str ('This flag allows to set the Sudakov form ' // &
	'factor to one. This effectively results in a version of ' // &
	'the matrix-element method (MEM) at NLO.'))
	end subroutine var_list_set_powheg_matching_defaults

	@ %def var_list_set_powheg_matching_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_openmp_defaults => var_list_set_openmp_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_openmp_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_log (var_str ("?omega_openmp"), &
	openmp_is_active (), &
	intrinsic=.true., &
	description=var_str ('Flag to switch on or off OpenMP multi-threading ' // &
	"for \oMega\ matrix elements. (cf. also \ttt{\$method}, \ttt{\$omega\_flag})"))
	call var_list%append_log (var_str ("?openmp_is_active"), &
	openmp_is_active (), &
	locked=.true., intrinsic=.true., &
	description=var_str ('Flag to switch on or off OpenMP multi-threading ' // &
	'for \whizard. (cf. also \ttt{?openmp\_logging}, \ttt{openmp\_num\_threads}, ' // &
	'\ttt{openmp\_num\_threads\_default}, \ttt{?omega\_openmp})'))
	call var_list%append_int (var_str ("openmp_num_threads_default"), &
	openmp_get_default_max_threads (), &
	locked=.true., intrinsic=.true., &
	description=var_str ('Integer parameter that shows the number ' // &
	'of default OpenMP threads for multi-threading. Note that this ' // &
	'parameter can only be accessed, but not reset by the user. (cf. ' // &
	'also \ttt{?openmp\_logging}, \ttt{openmp\_num\_threads}, \ttt{?omega\_openmp})'))
	call var_list%append_int (var_str ("openmp_num_threads"), &
	openmp_get_max_threads (), &
	intrinsic=.true., &
	description=var_str ('Integer parameter that sets the number ' // &
	'of OpenMP threads for multi-threading. (cf. also \ttt{?openmp\_logging}, ' // &
	'\ttt{openmp\_num\_threads\_default}, \ttt{?omega\_openmp})'))
	call var_list%append_log (var_str ("?openmp_logging"), &
	.true., intrinsic=.true., &
	description=var_str ('This logical -- when set to \ttt{false} ' // &
	'-- suppresses writing out messages about OpenMP parallelization ' // &
	'(number of used threads etc.) on screen and into the logfile ' // &
	'(default name \ttt{whizard.log}) for the whole \whizard\ run. ' // &
	'Mainly for debugging purposes. (cf. also \ttt{?logging}, ' // &
	'\ttt{?mpi\_logging})'))
	end subroutine var_list_set_openmp_defaults

	@ %def var_list_set_openmp_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_mpi_defaults => var_list_set_mpi_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_mpi_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_log (var_str ("?mpi_logging"), &
	.false., intrinsic=.true., &
	description=var_str('This logical -- when set to \ttt{false} ' // &
	'-- suppresses writing out messages about MPI parallelization ' // &
	'(number of used workers etc.) on screen and into the logfile ' // &
	'(default name \ttt{whizard.log}) for the whole \whizard\ run. ' // &
	'Mainly for debugging purposes. (cf. also \ttt{?logging}, ' // &
	'\ttt{?openmp\_logging})'))
	end subroutine var_list_set_mpi_defaults

	@ %def var_list_set_mpi_defaults
	@
	<<Variables: var list: TBP>>=
	procedure :: set_nlo_defaults => var_list_set_nlo_defaults
	<<Variables: procedures>>=
	subroutine var_list_set_nlo_defaults (var_list)
	class(var_list_t), intent(inout) :: var_list
	call var_list%append_string (var_str ("$born_me_method"), &
	var_str (""), intrinsic = .true., &
	description=var_str ("This string variable specifies the method " // &
	"for the matrix elements to be used in the evaluation of the " // &
	"Born part of the NLO computation. The default is the empty string, " // &
	"i.e. the \ttt{\$method} being the intrinsic \oMega\ matrix element " // &
	'generator (\ttt{"omega"}), other options ' // &
	'are: \ttt{"ovm"}, \ttt{"unit\_test"}, \ttt{"template"}, ' // &
	'\ttt{"template\_unity"}, \ttt{"threshold"}, \ttt{"gosam"}, ' // &
	'\ttt{"openloops"}. Note that this option is inoperative if ' // &
	'no NLO calculation is specified in the process definition. ' // &
	'If you want ot use different matrix element methods in a LO ' // &
	'computation, use the usual \ttt{method} command. (cf. also ' // &
	'\ttt{\$correlation\_me\_method}, ' // &
	'\ttt{\$dglap\_me\_method}, \ttt{\$loop\_me\_method} and ' // &
	'\ttt{\$real\_tree\_me\_method}.)'))
	call var_list%append_string (var_str ("$loop_me_method"), &
	var_str (""), intrinsic = .true., &
	description=var_str ('This string variable specifies the method ' // &
	'for the matrix elements to be used in the evaluation of the ' // &
	'virtual part of the NLO computation. The default is the empty string, ' // &
	'i.e. the same as \ttt{\$method}. Working options are: ' // &
	'\ttt{"threshold"}, \ttt{"openloops"}, \ttt{"recola"}, \ttt{"gosam"}. ' // &
	'(cf. also \ttt{\$real\_tree\_me\_method}, \ttt{\$correlation\_me\_method} ' // &
	'and \ttt{\$born\_me\_method}.)'))
	call var_list%append_string (var_str ("$correlation_me_method"), &
	var_str (""), intrinsic = .true., &
	description=var_str ('This string variable specifies ' // &
	'the method for the matrix elements to be used in the evaluation ' // &
	'of the color (and helicity) correlated part of the NLO computation. ' // &
	"The default is the same as the \ttt{\$method}, i.e. the intrinsic " // &
	"\oMega\ matrix element generator " // &
	'(\ttt{"omega"}), other options are: \ttt{"ovm"}, \ttt{"unit\_test"}, ' // &
	'\ttt{"template"}, \ttt{"template\_unity"}, \ttt{"threshold"}, ' // &
	'\ttt{"gosam"}, \ttt{"openloops"}. (cf. also ' // &
	'\ttt{\$born\_me\_method}, \ttt{\$dglap\_me\_method}, ' // &
	'\ttt{\$loop\_me\_method} and \newline' // &
	'\ttt{\$real\_tree\_me\_method}.)'))
	call var_list%append_string (var_str ("$real_tree_me_method"), &
	var_str (""), intrinsic = .true., &
	description=var_str ('This string variable specifies the method ' // &
	'for the matrix elements to be used in the evaluation of the ' // &
	'real part of the NLO computation. The default is the same as ' // &
	'the \ttt{\$method}, i.e. the intrinsic ' // &
	"\oMega\ matrix element generator " // &
	'(\ttt{"omega"}), other options ' // &
	'are: \ttt{"ovm"}, \ttt{"unit\_test"}, \ttt{"template"}, \ttt{"template\_unity"}, ' // &
	'\ttt{"threshold"}, \ttt{"gosam"}, \ttt{"openloops"}. (cf. also ' // &
	'\ttt{\$born\_me\_method}, \ttt{\$correlation\_me\_method}, ' // &
	'\ttt{\$dglap\_me\_method} and \ttt{\$loop\_me\_method}.)'))
	call var_list%append_string (var_str ("$dglap_me_method"), &
	var_str (""), intrinsic = .true., &
	description=var_str ('This string variable specifies the method ' // &
	'for the matrix elements to be used in the evaluation of the ' // &
	'DGLAP remnants of the NLO computation. The default is the same as ' // &
	"\ttt{\$method}, i.e. the \oMega\ matrix element generator " // &
	'(\ttt{"omega"}), other options ' // &
	'are: \ttt{"ovm"}, \ttt{"unit\_test"}, \ttt{"template"}, \ttt{"template\_unity"}, ' // &
	'\ttt{"threshold"}, \ttt{"gosam"}, \ttt{"openloops"}. (cf. also \newline' // &
	'\ttt{\$born\_me\_method}, \ttt{\$correlation\_me\_method}, ' // &
	'\ttt{\$loop\_me\_method} and \ttt{\$real\_tree\_me\_method}.)'))
	call var_list%append_log (&
	var_str ("?test_soft_limit"), .false., intrinsic = .true., &
	description=var_str ('Sets the fixed values $\tilde{\xi} = 0.00001$ ' // &
	'and $y = 0.5$ as radiation variables. This way, only soft, ' // &
	'but non-collinear phase space points are generated, which allows ' // &
	'for testing subtraction in this region.'))
	call var_list%append_log (&
	var_str ("?test_coll_limit"), .false., intrinsic = .true., &
	description=var_str ('Sets the fixed values $\tilde{\xi} = 0.5$ ' // &
	'and $y = 0.9999999$ as radiation variables. This way, only collinear, ' // &
	'but non-soft phase space points are generated, which allows ' // &
	'for testing subtraction in this region. Can be combined with ' // &
	'\ttt{?test\_soft\_limit} to probe soft-collinear regions.'))
	call var_list%append_log (&
	var_str ("?test_anti_coll_limit"), .false., intrinsic = .true., &
	description=var_str ('Sets the fixed values $\tilde{\xi} = 0.5$ ' // &
	'and $y = -0.9999999$ as radiation variables. This way, only anti-collinear, ' // &
	'but non-soft phase space points are generated, which allows ' // &
	'for testing subtraction in this region. Can be combined with ' // &
	'\ttt{?test\_soft\_limit} to probe soft-collinear regions.'))
	call var_list%append_string (var_str ("$select_alpha_regions"), &
	var_str (""), intrinsic = .true., &
	description=var_str ('Fixes the $\alpha_r$ in the real ' // &
	' subtraction component. Allows for testing in one individual ' // &
	'singular region.'))
	call var_list%append_string (var_str ("$virtual_selection"), &
	var_str ("Full"), intrinsic = .true., &
	description=var_str ('String variable to select either the full ' // &
	'or only parts of the virtual components of an NLO calculation. ' // &
	'Possible modes are \ttt{"Full"}, \ttt{"OLP"} and ' // &
	'\ttt{"Subtraction."}. Mainly for debugging purposes.'))
	call var_list%append_log (var_str ("?virtual_collinear_resonance_aware"), &
	.true., intrinsic = .true., &
	description=var_str ('This flag allows to switch between two ' // &
	'different implementations of the collinear subtraction in the ' // &
	'resonance-aware FKS setup.'))
	call var_list%append_real (&
	var_str ("blha_top_yukawa"), -1._default, intrinsic = .true., &
	description=var_str ('If this value is set, the given value will ' // &
	'be used as the top Yukawa coupling instead of the top mass. ' // &
	'Note that having different values for $y_t$ and $m_t$ must be ' // &
	'supported by your OLP-library and yield errors if this is not the case.'))
	call var_list%append_string (var_str ("$blha_ew_scheme"), &
	var_str ("alpha_internal"), intrinsic = .true., &
	description=var_str ('String variable that transfers the electroweak ' // &
	'renormalization scheme via BLHA to the one-loop provider. Possible ' // &
	'values are \ttt{GF} or \ttt{Gmu} for the $G_\mu$ scheme, ' // &
	'\ttt{alpha\_internal} (default, $G_\mu$ scheme, but value of ' // &
	'$\alpha_S$ calculated internally by \whizard), \ttt{alpha\_mz} ' // &
	'and \ttt{alpha\_0} (or \ttt{alpha\_thompson}) for different schemes ' // &
	'with $\alpha$ as input.'))
	call var_list%append_int (var_str ("openloops_verbosity"), 1, &
	intrinsic = .true., &
	description=var_str ('Decides how much \openloops\ output is printed. ' // &
	'Can have values 0, 1 and 2, where 2 is the highest verbosity level.'))
	call var_list%append_log (var_str ("?openloops_use_cms"), &
	.true., intrinsic = .true., &
	description=var_str ('Activates the complex mass scheme in ' // &
	'\openloops. (cf. also ' // &
	'\ttt{openloos\_verbosity}, \ttt{\$method}, ' // &
	'\ttt{?openloops\_switch\_off\_muon\_yukawa}, ' // &
	'\ttt{openloops\_stability\_log}, \newline' // &
	'\ttt{\$openloops\_extra\_cmd})'))
	call var_list%append_int (var_str ("openloops_phs_tolerance"), 7, &
	intrinsic = .true., &
	description=var_str ('This integer parameter gives via ' // &
	'\ttt{openloops\_phs\_tolerance = <n>} the relative numerical ' // &
	'tolerance $10^{-n}$ for the momentum conservation of the ' // &
	'external particles within \openloops. (cf. also ' // &
	'\ttt{openloos\_verbosity}, \ttt{\$method}, ' // &
	'\ttt{?openloops\_switch\_off\_muon\_yukawa}, ' // &
	'\newline\ttt{openloops\_stability\_log}, ' // &
	'\ttt{\$openloops\_extra\_cmd})'))
	call var_list%append_int (var_str ("openloops_stability_log"), 0, &
	intrinsic = .true., &
	description=var_str ('Creates the directory \ttt{stability\_log} ' // &
	'containing information about the performance of the \openloops ' // &
	'matrix elements. Possible values are 0 (No output), 1 (On ' // &
	'\ttt{finish()}-call), 2 (Adaptive) and 3 (Always).'))
	call var_list%append_log (var_str ("?openloops_switch_off_muon_yukawa"), &
	.false., intrinsic = .true., &
	description=var_str ('Sets the Yukawa coupling of muons for ' // &
	'\openloops\ to zero. (cf. also ' // &
	'\ttt{openloos\_verbosity}, \ttt{\$method}, ' // &
	'\ttt{?openloops\_use\_cms}, \ttt{openloops\_stability\_log}, ' // &
	'\ttt{\$openloops\_extra\_cmd})'))
	call var_list%append_string (var_str ("$openloops_extra_cmd"), &
	var_str (""), intrinsic = .true., &
	description=var_str ('String variable to transfer customized ' // &
	'special commands to \openloops. The three supported examples ' // &
	'\ttt{\$openloops\_extra\_command = "extra approx top/stop/not"} ' // &
	'are for selection of subdiagrams in top production. (cf. also ' // &
	'\ttt{\$method}, \ttt{openloos\_verbosity}, ' // &
	'\ttt{?openloops\_use\_cms}, \ttt{openloops\_stability\_log}, ' // &
	'\ttt{?openloops\_switch\_off\_muon\_yukawa})'))
	call var_list%append_real (var_str ("ellis_sexton_scale"), &
	-1._default, intrinsic = .true., &
	description = var_str ('Real positive paramter for the Ellis-Sexton scale' // &
	'$\mathcal{Q}$ used both in the finite one-loop contribution provided by' // &
	'the OLP and in the virtual counter terms. The NLO cross section is' // &
	'independend of $\mathcal{Q}$. Therefore, this allows for debugging of' // &
	'the implemention of the virtual counter terms. As the default' // &
	'$\mathcal{Q} = \mu_{\rm{R}}$ is chosen. So far, setting this parameter' // &
	'only works for OpenLoops2, otherwise the default behaviour is invoked.'))
	call var_list%append_log (var_str ("?disable_subtraction"), &
	.false., intrinsic = .true., &
	description=var_str ('Disables the subtraction of soft and collinear ' // &
	'divergences from the real matrix element.'))
	call var_list%append_real (var_str ("fks_dij_exp1"), &
	1._default, intrinsic = .true., &
	description=var_str ('Fine-tuning parameters of the FKS ' // &
	- 'partition functions. The exact meaning depends on the mapping ' // &
	- 'implementation. (cf. also \ttt{fks\_dij\_exp2}, ' // &
	+ 'final state partition functions. The exact meaning depends ' // &
	+ 'on the mapping implementation. (cf. also \ttt{fks\_dij\_exp2}, ' // &
	'\ttt{\$fks\_mapping\_type}, \ttt{fks\_xi\_min}, \ttt{fks\_y\_max})'))
	call var_list%append_real (var_str ("fks_dij_exp2"), &
	1._default, intrinsic = .true., &
	description=var_str ('Fine-tuning parameters of the FKS ' // &
	- 'partition functions. The exact meaning depends on the mapping ' // &
	- 'implementation. (cf. also \ttt{fks\_dij\_exp1}, ' // &
	+ 'initial state partition functions. The exact meaning depends ' // &
	+ 'on the mapping implementation. (cf. also \ttt{fks\_dij\_exp1}, ' // &
	'\ttt{\$fks\_mapping\_type}, \ttt{fks\_xi\_min}, \ttt{fks\_y\_max})'))
	call var_list%append_real (var_str ("fks_xi_min"), &
	0.0000001_default, intrinsic = .true., &
	description=var_str ('Real parameter for the FKS ' // &
	'phase space that sets the numerical lower value of the $\xi$ ' // &
	'variable. (cf. also \ttt{fks\_dij\_exp1}, ' // &
	'\ttt{fks\_dij\_exp2}, \ttt{\$fks\_mapping\_type}, \ttt{fks\_y\_max})'))
	call var_list%append_real (var_str ("fks_y_max"), &
	1._default, intrinsic = .true., &
	description=var_str ('Real parameter for the FKS ' // &
	'phase space that sets the numerical upper value of the $y$ ' // &
	'variable. (cf. also \ttt{fks\_dij\_exp1}, ' // &
	'\ttt{\$fks\_mapping\_type}, \ttt{fks\_dij\_exp2}, \ttt{fks\_y\_max})'))
	call var_list%append_log (var_str ("?vis_fks_regions"), &
	.false., intrinsic = .true., &
	description=var_str ('Logical variable that, if set to ' // &
	'\ttt{true}, generates \LaTeX\ code and executes it into a PDF ' // &
	' to produce a table of all singular FKS regions and their ' // &
	' flavor structures. The default is \ttt{false}.'))
	call var_list%append_real (var_str ("fks_xi_cut"), &
	1.0_default, intrinsic = .true., &
	description = var_str ('Real paramter for the FKS ' // &
	'phase space that applies a cut to $\xi$ variable with $0 < \xi_{\text{cut}}' // &
	'\leq \xi_{\text{max}}$. The dependence on the parameter vanishes between ' // &
	'real subtraction and integrated subtraction term.'))
	call var_list%append_real (var_str ("fks_delta_o"), &
	2._default, intrinsic = .true., &
	description = var_str ('Real paramter for the FKS ' // &
	'phase space that applies a cut to the $y$ variable with $0 < \delta_o \leq 2$. ' // &
	'The dependence on the parameter vanishes between real subtraction and integrated ' // &
	'subtraction term.'))
	call var_list%append_real (var_str ("fks_delta_i"), &
	2._default, intrinsic = .true., &
	description = var_str ('Real paramter for the FKS ' // &
	'phase space that applies a cut to the $y$ variable with ' // &
	'$0 < \delta_{\mathrm{I}} \leq 2$ '// &
	'for initial state singularities only. ' // &
	'The dependence on the parameter vanishes between real subtraction and integrated ' // &
	'subtraction term.'))
	call var_list%append_string (var_str ("$fks_mapping_type"), &
	var_str ("default"), intrinsic = .true., &
	description=var_str ('Sets the FKS mapping type. Possible values ' // &
	'are \ttt{"default"} and \ttt{"resonances"}. The latter option ' // &
	'activates the resonance-aware subtraction mode and induces the ' // &
	'generation of a soft mismatch component. (cf. also ' // &
	'\ttt{fks\_dij\_exp1}, \ttt{fks\_dij\_exp2}, \ttt{fks\_xi\_min}, ' // &
	'\ttt{fks\_y\_max})'))
	call var_list%append_string (var_str ("$resonances_exclude_particles"), &
	var_str ("default"), intrinsic = .true., &
	description=var_str ('Accepts a string of particle names. These ' // &
	'particles will be ignored when the resonance histories are generated. ' // &
	'If \ttt{\$fks\_mapping\_type} is not \ttt{"resonances"}, this ' // &
	'option does nothing.'))
	call var_list%append_int (var_str ("alpha_power"), &
	2, intrinsic = .true., &
	description=var_str ('Fixes the electroweak coupling ' // &
	'powers used by BLHA matrix element generators. Setting these ' // &
	'values is necessary for the correct generation of OLP-files. ' // &
	'Having inconsistent values yields to error messages by the corresponding ' // &
	'OLP-providers.'))
	call var_list%append_int (var_str ("alphas_power"), &
	0, intrinsic = .true., &
	description=var_str ('Fixes the strong coupling ' // &
	'powers used by BLHA matrix element generators. Setting these ' // &
	'values is necessary for the correct generation of OLP-files. ' // &
	'Having inconsistent values yields to error messages by the corresponding ' // &
	'OLP-providers.'))
	call var_list%append_log (var_str ("?combined_nlo_integration"), &
	.false., intrinsic = .true., &
	description=var_str ('When this option is set to \ttt{true}, ' // &
	'the NLO integration will not be performed in the separate components, ' // &
	'but instead the sum of all components will be integrated directly. ' // &
	'When fixed-order NLO events are requested, this integration ' // &
	'mode is possible, but not necessary. However, it is necessary ' // &
	'for POWHEG events.'))
	call var_list%append_log (var_str ("?fixed_order_nlo_events"), &
	.false., intrinsic = .true., &
	description=var_str ('Induces the generation of fixed-order ' // &
	'NLO events.'))
	call var_list%append_log (var_str ("?check_event_weights_against_xsection"), &
	.false., intrinsic = .true., &
	description=var_str ('Activates an internal recording of event ' // &
	'weights when unweighted events are generated. At the end of ' // &
	'the simulation, the mean value of the weights and its standard ' // &
	'deviation are displayed. This allows to cross-check event generation ' // &
	'and integration, because the value displayed must be equal to ' // &
	'the integration result.'))
	call var_list%append_log (var_str ("?keep_failed_events"), &
	.false., intrinsic = .true., &
	description=var_str ('In the context of weighted event generation, ' // &
	'if set to \ttt{true}, events with failed kinematics will be ' // &
	'written to the event output with an associated weight of zero. ' // &
	'This way, the total cross section can be reconstructed from the event output.'))
	call var_list%append_int (var_str ("gks_multiplicity"), &
	0, intrinsic = .true., &
	description=var_str ('Jet multiplicity for the GKS merging scheme.'))
	call var_list%append_string (var_str ("$gosam_filter_lo"), &
	var_str (""), intrinsic = .true., &
	description=var_str ('The filter string given to \gosam\ in order to ' // &
	'filter out tree-level diagrams. (cf. also \ttt{\$gosam\_filter\_nlo}, ' // &
	'\ttt{\$gosam\_symmetries})'))
	call var_list%append_string (var_str ("$gosam_filter_nlo"), &
	var_str (""), intrinsic = .true., &
	description=var_str ('The same as \ttt{\$gosam\_filter\_lo}, but for ' // &
	'loop matrix elements. (cf. also \ttt{\$gosam\_filter\_nlo}, ' // &
	'\ttt{\$gosam\_symmetries})'))
	call var_list%append_string (var_str ("$gosam_symmetries"), &
	var_str ("family,generation"), intrinsic = .true., &
	description=var_str ('String variable that is transferred to \gosam\ ' // &
	'configuration file to determine whether certain helicity configurations ' // &
	'are considered to be equal. Possible values are \ttt{flavour}, ' // &
	'\ttt{family} etc. For more info see the \gosam\ manual.'))
	call var_list%append_int (var_str ("form_threads"), &
	2, intrinsic = .true., &
	description=var_str ('The number of threads used by \gosam when ' // &
	'matrix elements are evaluated using \ttt{FORM}'))
	call var_list%append_int (var_str ("form_workspace"), &
	1000, intrinsic = .true., &
	description=var_str ('The size of the workspace \gosam requires ' // &
	'from \ttt{FORM}. Inside \ttt{FORM}, it corresponds to the heap ' // &
	'size used by the algebra processor.'))
	call var_list%append_string (var_str ("$gosam_fc"), &
	var_str (""), intrinsic = .true., &
	description=var_str ('The Fortran compiler used by \gosam.'))
	call var_list%append_real (&
	var_str ("mult_call_real"), 1._default, &
	intrinsic = .true., &
	description=var_str ('(Real-valued) multiplier for the number ' // &
	'of calls used in the integration of the real subtraction ' // &
	'NLO component. This way, a higher accuracy can be achieved for ' // &
	'the real component, while simultaneously avoiding redundant ' // &
	'integration calls for the other components. (cf. also ' // &
	'\ttt{mult\_call\_dglap}, \ttt{mult\_call\_virt})'))
	call var_list%append_real (&
	var_str ("mult_call_virt"), 1._default, &
	intrinsic = .true., &
	description=var_str ('(Real-valued) multiplier for the number ' // &
	'of calls used in the integration of the virtual NLO ' // &
	'component. This way, a higher accuracy can be achieved for ' // &
	'this component, while simultaneously avoiding redundant ' // &
	'integration calls for the other components. (cf. also ' // &
	'\ttt{mult\_call\_dglap}, \ttt{mult\_call\_real})'))
	call var_list%append_real (&
	var_str ("mult_call_dglap"), 1._default, &
	intrinsic = .true., &
	description=var_str ('(Real-valued) multiplier for the number ' // &
	'of calls used in the integration of the DGLAP remnant NLO ' // &
	'component. This way, a higher accuracy can be achieved for ' // &
	'this component, while simultaneously avoiding redundant ' // &
	'integration calls for the other components. (cf. also ' // &
	'\ttt{mult\_call\_real}, \ttt{mult\_call\_virt})'))
	call var_list%append_string (var_str ("$dalitz_plot"), &
	var_str (''), intrinsic = .true., &
	description=var_str ('This string variable has two purposes: ' // &
	'when different from the empty string, it switches on generation ' // &
	'of the Dalitz plot file (ASCII tables) for the real emitters. ' // &
	'The string variable itself provides the file name.'))
	call var_list%append_string (var_str ("$nlo_correction_type"), &
	var_str ("QCD"), intrinsic = .true., &
	description=var_str ('String variable which sets the NLO correction ' // &
	'type via \ttt{nlo\_correction\_type = "{\em <type>}"} to either ' // &
	'\ttt{"QCD"}, \ttt{"EW"}, or to all with \ttt{\em{<type>}} ' // &
	'set to \ttt{"Full"}. Must be set before the \texttt{process} statement.'))
	call var_list%append_string (var_str ("$exclude_gauge_splittings"), &
	var_str ("c:b:t:e2:e3"), intrinsic = .true., &
	description=var_str ('String variable that allows via ' // &
	'\ttt{\$exclude\_gauge\_splittings = "{\em <prt1>:<prt2>:\dots}"} ' // &
	'to exclude fermion flavors from gluon/photon splitting into ' // &
	'fermion pairs beyond LO. For example \ttt{\$exclude\_gauge\_splittings ' // &
	'= "c:s:b:t"} would lead to \ttt{gl => u U} and \ttt{gl => d ' // &
	'D} as possible splittings in QCD. It is important to keep in ' // &
	'mind that only the particles listed in the string are excluded! ' // &
	'In QED this string would additionally allow for all splittings into ' // &
	'lepton pairs \ttt{A => l L}. Therefore, once set the variable ' // &
	'acts as a replacement of the default value, not as an addition! ' // &
	'Note: \ttt{"\em <prt>"} can be both particle or antiparticle. It ' // &
	'will always exclude the corresponding fermion pair. An empty ' // &
	'string allows for all fermion flavors to take part in the splitting! ' // &
	'Also, particles included in an \ttt{alias} are not excluded by ' // &
	'\ttt{\$exclude\_gauge\_splittings}!'))
	call var_list%append_log (var_str ("?nlo_use_born_scale"), &
	.false., intrinsic = .true., &
	description=var_str ('Flag that decides whether a scale expression ' // &
	'defined for the Born component of an NLO process shall be applied ' // &
	'to all other components as well or not. ' // &
	'(cf. also \ttt{?nlo\_cut\_all\_real\_sqmes})'))
	call var_list%append_log (var_str ("?nlo_cut_all_real_sqmes"), &
	.false., intrinsic = .true., &
	description=var_str ('Flag that decides whether in the case that ' // &
	'the real component does not pass a cut, its subtraction term ' // &
	'shall be discarded for that phase space point as well or not. ' // &
	'(cf. also \ttt{?nlo\_use\_born\_scale})'))
	call var_list%append_log (var_str ("?nlo_use_real_partition"), &
	.false., intrinsic = .true., &
	description=var_str (' If set to \ttt{true}, the real matrix ' // &
	'element is split into a finite and a singular part using a ' // &
	'partition function $f$, such that $\mathcal{R} ' // &
	'= [1-f(p_T^2)]\mathcal{R} + f(p_T^2)\mathcal{R} = ' // &
	'\mathcal{R}_{\text{fin}} ' // &
	'+ \mathcal{R}_{\text{sing}}$. The emission ' // &
	'generation is then performed using $\mathcal{R}_{\text{sing}}$, ' // &
	'whereas $\mathcal{R}_{\text{fin}}$ is treated separately. ' // &
	'(cf. also \ttt{real\_partition\_scale})'))
	call var_list%append_real (var_str ("real_partition_scale"), &
	10._default, intrinsic = .true., &
	description=var_str ('This real variable sets the invariant mass ' // &
	'of the FKS pair used as a separator between the singular and the ' // &
	'finite part of the real subtraction terms in an NLO calculation, ' // &
	'e.g. in $e^+e^- \to ' // &
	't\bar tj$. (cf. also \ttt{?nlo\_use\_real\_partition})'))
	end subroutine var_list_set_nlo_defaults

	@ %def var_list_set_nlo_defaults
	@
	\clearpage
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\section{Observables}

	In this module we define concrete variables and operators (observables)
	that we want to support in expressions.
	<<[[observables.f90]]>>=
	<<File header>>

	module observables

	<<Use kinds>>
	<<Use strings>>
	use io_units
	use diagnostics
	use lorentz
	use subevents
	use variables

	<<Standard module head>>

	<<Observables: public>>

	contains

	<<Observables: procedures>>

	end module observables
	@ %def observables
	@
	\subsection{Process-specific variables}
	We allow the user to set a numeric process ID for each declared process.
	<<Observables: public>>=
	public :: var_list_init_num_id
	<<Observables: procedures>>=
	subroutine var_list_init_num_id (var_list, proc_id, num_id)
	type(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: proc_id
	integer, intent(in), optional :: num_id
	call var_list_set_procvar_int (var_list, proc_id, &
	var_str ("num_id"), num_id)
	end subroutine var_list_init_num_id

	@ %def var_list_init_num_id
	@
	Integration results are stored in special variables. They are
	initialized by this subroutine. The values may or may not already
	known.

	Note: the values which are accessible are those that are unique for a
	process with multiple MCI records. The rest has been discarded.
	<<Observables: public>>=
	public :: var_list_init_process_results
	<<Observables: procedures>>=
	subroutine var_list_init_process_results (var_list, proc_id, &
	n_calls, integral, error, accuracy, chi2, efficiency)
	type(var_list_t), intent(inout) :: var_list
	type(string_t), intent(in) :: proc_id
	integer, intent(in), optional :: n_calls
	real(default), intent(in), optional :: integral, error, accuracy
	real(default), intent(in), optional :: chi2, efficiency
	call var_list_set_procvar_real (var_list, proc_id, &
	var_str ("integral"), integral)
	call var_list_set_procvar_real (var_list, proc_id, &
	var_str ("error"), error)
	end subroutine var_list_init_process_results

	@ %def var_list_init_process_results
	@
	\subsection{Observables as Pseudo-Variables}
	Unary and binary observables are different. Most unary observables
	can be equally well evaluated for particle pairs. Binary observables
	cannot be evaluated for single particles.
	<<Observables: public>>=
	public :: var_list_set_observables_unary
	public :: var_list_set_observables_binary
	<<Observables: procedures>>=
	subroutine var_list_set_observables_unary (var_list, prt1)
	type(var_list_t), intent(inout) :: var_list
	type(prt_t), intent(in), target :: prt1
	call var_list_append_obs1_iptr &
	(var_list, var_str ("PDG"), obs_pdg1, prt1)
	call var_list_append_obs1_iptr &
	(var_list, var_str ("Hel"), obs_helicity1, prt1)
	call var_list_append_obs1_iptr &
	(var_list, var_str ("Ncol"), obs_n_col1, prt1)
	call var_list_append_obs1_iptr &
	(var_list, var_str ("Nacl"), obs_n_acl1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("M"), obs_signed_mass1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("M2"), obs_mass_squared1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("E"), obs_energy1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Px"), obs_px1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Py"), obs_py1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Pz"), obs_pz1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("P"), obs_p1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Pl"), obs_pl1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Pt"), obs_pt1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Theta"), obs_theta1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Phi"), obs_phi1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Rap"), obs_rap1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Eta"), obs_eta1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Theta_star"), obs_theta_star1, prt1)
	call var_list_append_obs1_rptr &
	(var_list, var_str ("Dist"), obs_dist1, prt1)
	call var_list_append_uobs_real &
	(var_list, var_str ("_User_obs_real"), prt1)
	call var_list_append_uobs_int &
	(var_list, var_str ("_User_obs_int"), prt1)
	end subroutine var_list_set_observables_unary

	subroutine var_list_set_observables_binary (var_list, prt1, prt2)
	type(var_list_t), intent(inout) :: var_list
	type(prt_t), intent(in), target :: prt1
	type(prt_t), intent(in), optional, target :: prt2
	call var_list_append_obs2_iptr &
	(var_list, var_str ("PDG"), obs_pdg2, prt1, prt2)
	call var_list_append_obs2_iptr &
	(var_list, var_str ("Hel"), obs_helicity2, prt1, prt2)
	call var_list_append_obs2_iptr &
	(var_list, var_str ("Ncol"), obs_n_col2, prt1, prt2)
	call var_list_append_obs2_iptr &
	(var_list, var_str ("Nacl"), obs_n_acl2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("M"), obs_signed_mass2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("M2"), obs_mass_squared2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("E"), obs_energy2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Px"), obs_px2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Py"), obs_py2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Pz"), obs_pz2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("P"), obs_p2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Pl"), obs_pl2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Pt"), obs_pt2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Theta"), obs_theta2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Phi"), obs_phi2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Rap"), obs_rap2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Eta"), obs_eta2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Theta_star"), obs_theta_star2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("Dist"), obs_dist2, prt1, prt2)
	call var_list_append_obs2_rptr &
	(var_list, var_str ("kT"), obs_ktmeasure, prt1, prt2)
	call var_list_append_uobs_real &
	(var_list, var_str ("_User_obs_real"), prt1, prt2)
	call var_list_append_uobs_int &
	(var_list, var_str ("_User_obs_int"), prt1, prt2)
	end subroutine var_list_set_observables_binary

	@ %def var_list_set_observables_unary var_list_set_observables_binary
	@
	\subsection{Checks}
	<<Observables: public>>=
	public :: var_list_check_observable
	<<Observables: procedures>>=
	subroutine var_list_check_observable (var_list, name, type)
	class(var_list_t), intent(in), target :: var_list
	type(string_t), intent(in) :: name
	integer, intent(inout) :: type
	if (string_is_observable_id (name)) then
	call msg_fatal ("Variable name '" // char (name) &
	// "' is reserved for an observable")
	type = V_NONE
	return
	end if
	end subroutine var_list_check_observable

	@ %def var_list_check_observable
	@
	Check if a variable name is defined as an observable:
	<<Observables: procedures>>=
	function string_is_observable_id (string) result (flag)
	logical :: flag
	type(string_t), intent(in) :: string
	select case (char (string))
	case ("PDG", "Hel", "Ncol", &
	"M", "M2", "E", "Px", "Py", "Pz", "P", "Pl", "Pt", &
	"Theta", "Phi", "Rap", "Eta", "Theta_star", "Dist", "kT")
	flag = .true.
	case default
	flag = .false.
	end select
	end function string_is_observable_id

	@ %def string_is_observable_id
	@ Check for result and process variables.
	<<Observables: public>>=
	public :: var_list_check_result_var
	<<Observables: procedures>>=
	subroutine var_list_check_result_var (var_list, name, type)
	class(var_list_t), intent(in), target :: var_list
	type(string_t), intent(in) :: name
	integer, intent(inout) :: type
	if (string_is_integer_result_var (name)) type = V_INT
	if (.not. var_list%contains (name)) then
	if (string_is_result_var (name)) then
	call msg_fatal ("Result variable '" // char (name) // "' " &
	// "set without prior integration")
	type = V_NONE
	return
	else if (string_is_num_id (name)) then
	call msg_fatal ("Numeric process ID '" // char (name) // "' " &
	// "set without process declaration")
	type = V_NONE
	return
	end if
	end if
	end subroutine var_list_check_result_var

	@ %def var_list_check_result_var
	@
	Check if a variable name is a result variable of integer type:
	<<Observables: procedures>>=
	function string_is_integer_result_var (string) result (flag)
	logical :: flag
	type(string_t), intent(in) :: string
	type(string_t) :: buffer, name, separator
	buffer = string
	call split (buffer, name, "(", separator=separator) ! ")"
	if (separator == "(") then
	select case (char (name))
	case ("num_id", "n_calls")
	flag = .true.
	case default
	flag = .false.
	end select
	else
	flag = .false.
	end if
	end function string_is_integer_result_var

	@ %def string_is_integer_result_var
	@
	Check if a variable name is an integration-result variable:
	<<Observables: procedures>>=
	function string_is_result_var (string) result (flag)
	logical :: flag
	type(string_t), intent(in) :: string
	type(string_t) :: buffer, name, separator
	buffer = string
	call split (buffer, name, "(", separator=separator) ! ")"
	if (separator == "(") then
	select case (char (name))
	case ("integral", "error")
	flag = .true.
	case default
	flag = .false.
	end select
	else
	flag = .false.
	end if
	end function string_is_result_var

	@ %def string_is_result_var
	@
	Check if a variable name is a numeric process ID:
	<<Observables: procedures>>=
	function string_is_num_id (string) result (flag)
	logical :: flag
	type(string_t), intent(in) :: string
	type(string_t) :: buffer, name, separator
	buffer = string
	call split (buffer, name, "(", separator=separator) ! ")"
	if (separator == "(") then
	select case (char (name))
	case ("num_id")
	flag = .true.
	case default
	flag = .false.
	end select
	else
	flag = .false.
	end if
	end function string_is_num_id

	@ %def string_is_num_id
	@
	\subsection{Observables}
	These are analogous to the unary and binary numeric functions listed
	above. An observable takes the [[pval]] component(s) of its one or
	two argument nodes and produces an integer or real value.

	\subsubsection{Integer-valued unary observables}
	The PDG code
	<<Observables: procedures>>=
	integer function obs_pdg1 (prt1) result (pdg)
	type(prt_t), intent(in) :: prt1
	pdg = prt_get_pdg (prt1)
	end function obs_pdg1

	@ %def obs_pdg
	@ The helicity. The return value is meaningful only if the particle
	is polarized, otherwise an invalid value is returned (-9).
	<<Observables: procedures>>=
	integer function obs_helicity1 (prt1) result (h)
	type(prt_t), intent(in) :: prt1
	if (prt_is_polarized (prt1)) then
	h = prt_get_helicity (prt1)
	else
	h = -9
	end if
	end function obs_helicity1

	@ %def obs_helicity1
	@ The number of open color (anticolor) lines. The return value is meaningful
	only if the particle is colorized (i.e., the subevent has been given color
	information), otherwise the function returns zero.
	<<Observables: procedures>>=
	integer function obs_n_col1 (prt1) result (n)
	type(prt_t), intent(in) :: prt1
	if (prt_is_colorized (prt1)) then
	n = prt_get_n_col (prt1)
	else
	n = 0
	end if
	end function obs_n_col1

	integer function obs_n_acl1 (prt1) result (n)
	type(prt_t), intent(in) :: prt1
	if (prt_is_colorized (prt1)) then
	n = prt_get_n_acl (prt1)
	else
	n = 0
	end if
	end function obs_n_acl1

	@ %def obs_n_col1
	@ %def obs_n_acl1
	@
	\subsubsection{Real-valued unary observables}
	The invariant mass squared, obtained from the separately stored value.
	<<Observables: procedures>>=
	real(default) function obs_mass_squared1 (prt1) result (p2)
	type(prt_t), intent(in) :: prt1
	p2 = prt_get_msq (prt1)
	end function obs_mass_squared1

	@ %def obs_mass_squared1
	@ The signed invariant mass, which is the signed square root of the
	previous observable.
	<<Observables: procedures>>=
	real(default) function obs_signed_mass1 (prt1) result (m)
	type(prt_t), intent(in) :: prt1
	real(default) :: msq
	msq = prt_get_msq (prt1)
	m = sign (sqrt (abs (msq)), msq)
	end function obs_signed_mass1

	@ %def obs_signed_mass1
	@ The particle energy
	<<Observables: procedures>>=
	real(default) function obs_energy1 (prt1) result (e)
	type(prt_t), intent(in) :: prt1
	e = energy (prt_get_momentum (prt1))
	end function obs_energy1

	@ %def obs_energy1
	@ Particle momentum (components)
	<<Observables: procedures>>=
	real(default) function obs_px1 (prt1) result (p)
	type(prt_t), intent(in) :: prt1
	p = vector4_get_component (prt_get_momentum (prt1), 1)
	end function obs_px1

	real(default) function obs_py1 (prt1) result (p)
	type(prt_t), intent(in) :: prt1
	p = vector4_get_component (prt_get_momentum (prt1), 2)
	end function obs_py1

	real(default) function obs_pz1 (prt1) result (p)
	type(prt_t), intent(in) :: prt1
	p = vector4_get_component (prt_get_momentum (prt1), 3)
	end function obs_pz1

	real(default) function obs_p1 (prt1) result (p)
	type(prt_t), intent(in) :: prt1
	p = space_part_norm (prt_get_momentum (prt1))
	end function obs_p1

	real(default) function obs_pl1 (prt1) result (p)
	type(prt_t), intent(in) :: prt1
	p = longitudinal_part (prt_get_momentum (prt1))
	end function obs_pl1

	real(default) function obs_pt1 (prt1) result (p)
	type(prt_t), intent(in) :: prt1
	p = transverse_part (prt_get_momentum (prt1))
	end function obs_pt1

	@ %def obs_px1 obs_py1 obs_pz1
	@ %def obs_p1 obs_pl1 obs_pt1
	@ Polar and azimuthal angle (lab frame).
	<<Observables: procedures>>=
	real(default) function obs_theta1 (prt1) result (p)
	type(prt_t), intent(in) :: prt1
	p = polar_angle (prt_get_momentum (prt1))
	end function obs_theta1

	real(default) function obs_phi1 (prt1) result (p)
	type(prt_t), intent(in) :: prt1
	p = azimuthal_angle (prt_get_momentum (prt1))
	end function obs_phi1

	@ %def obs_theta1 obs_phi1
	@ Rapidity and pseudorapidity
	<<Observables: procedures>>=
	real(default) function obs_rap1 (prt1) result (p)
	type(prt_t), intent(in) :: prt1
	p = rapidity (prt_get_momentum (prt1))
	end function obs_rap1

	real(default) function obs_eta1 (prt1) result (p)
	type(prt_t), intent(in) :: prt1
	p = pseudorapidity (prt_get_momentum (prt1))
	end function obs_eta1

	@ %def obs_rap1 obs_eta1
	@ Meaningless: Polar angle in the rest frame of the two arguments
	combined.
	<<Observables: procedures>>=
	real(default) function obs_theta_star1 (prt1) result (dist)
	type(prt_t), intent(in) :: prt1
	call msg_fatal (" 'Theta_star' is undefined as unary observable")
	dist = 0
	end function obs_theta_star1

	@ %def obs_theta_star1
	@ [Obsolete] Meaningless: Polar angle in the rest frame of the 2nd argument.
	<<XXX Observables: procedures>>=
	real(default) function obs_theta_rf1 (prt1) result (dist)
	type(prt_t), intent(in) :: prt1
	call msg_fatal (" 'Theta_RF' is undefined as unary observable")
	dist = 0
	end function obs_theta_rf1

	@ %def obs_theta_rf1
	@ Meaningless: Distance on the $\eta$-$\phi$ cylinder.
	<<Observables: procedures>>=
	real(default) function obs_dist1 (prt1) result (dist)
	type(prt_t), intent(in) :: prt1
	call msg_fatal (" 'Dist' is undefined as unary observable")
	dist = 0
	end function obs_dist1

	@ %def obs_dist1
	@
	\subsubsection{Integer-valued binary observables}
	These observables are meaningless as binary functions.
	<<Observables: procedures>>=
	integer function obs_pdg2 (prt1, prt2) result (pdg)
	type(prt_t), intent(in) :: prt1, prt2
	call msg_fatal (" PDG_Code is undefined as binary observable")
	pdg = 0
	end function obs_pdg2

	integer function obs_helicity2 (prt1, prt2) result (h)
	type(prt_t), intent(in) :: prt1, prt2
	call msg_fatal (" Helicity is undefined as binary observable")
	h = 0
	end function obs_helicity2

	integer function obs_n_col2 (prt1, prt2) result (n)
	type(prt_t), intent(in) :: prt1, prt2
	call msg_fatal (" Ncol is undefined as binary observable")
	n = 0
	end function obs_n_col2

	integer function obs_n_acl2 (prt1, prt2) result (n)
	type(prt_t), intent(in) :: prt1, prt2
	call msg_fatal (" Nacl is undefined as binary observable")
	n = 0
	end function obs_n_acl2

	@ %def obs_pdg2
	@ %def obs_helicity2
	@ %def obs_n_col2
	@ %def obs_n_acl2
	@
	\subsubsection{Real-valued binary observables}
	The invariant mass squared, obtained from the separately stored value.
	<<Observables: procedures>>=
	real(default) function obs_mass_squared2 (prt1, prt2) result (p2)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	call prt_init_combine (prt, prt1, prt2)
	p2 = prt_get_msq (prt)
	end function obs_mass_squared2

	@ %def obs_mass_squared2
	@ The signed invariant mass, which is the signed square root of the
	previous observable.
	<<Observables: procedures>>=
	real(default) function obs_signed_mass2 (prt1, prt2) result (m)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	real(default) :: msq
	call prt_init_combine (prt, prt1, prt2)
	msq = prt_get_msq (prt)
	m = sign (sqrt (abs (msq)), msq)
	end function obs_signed_mass2

	@ %def obs_signed_mass2
	@ The particle energy
	<<Observables: procedures>>=
	real(default) function obs_energy2 (prt1, prt2) result (e)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	call prt_init_combine (prt, prt1, prt2)
	e = energy (prt_get_momentum (prt))
	end function obs_energy2

	@ %def obs_energy2
	@ Particle momentum (components)
	<<Observables: procedures>>=
	real(default) function obs_px2 (prt1, prt2) result (p)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	call prt_init_combine (prt, prt1, prt2)
	p = vector4_get_component (prt_get_momentum (prt), 1)
	end function obs_px2

	real(default) function obs_py2 (prt1, prt2) result (p)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	call prt_init_combine (prt, prt1, prt2)
	p = vector4_get_component (prt_get_momentum (prt), 2)
	end function obs_py2

	real(default) function obs_pz2 (prt1, prt2) result (p)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	call prt_init_combine (prt, prt1, prt2)
	p = vector4_get_component (prt_get_momentum (prt), 3)
	end function obs_pz2

	real(default) function obs_p2 (prt1, prt2) result (p)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	call prt_init_combine (prt, prt1, prt2)
	p = space_part_norm (prt_get_momentum (prt))
	end function obs_p2

	real(default) function obs_pl2 (prt1, prt2) result (p)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	call prt_init_combine (prt, prt1, prt2)
	p = longitudinal_part (prt_get_momentum (prt))
	end function obs_pl2

	real(default) function obs_pt2 (prt1, prt2) result (p)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	call prt_init_combine (prt, prt1, prt2)
	p = transverse_part (prt_get_momentum (prt))
	end function obs_pt2

	@ %def obs_px2 obs_py2 obs_pz2
	@ %def obs_p2 obs_pl2 obs_pt2
	@ Enclosed angle and azimuthal distance (lab frame).
	<<Observables: procedures>>=
	real(default) function obs_theta2 (prt1, prt2) result (p)
	type(prt_t), intent(in) :: prt1, prt2
	p = enclosed_angle (prt_get_momentum (prt1), prt_get_momentum (prt2))
	end function obs_theta2

	real(default) function obs_phi2 (prt1, prt2) result (p)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	call prt_init_combine (prt, prt1, prt2)
	p = azimuthal_distance (prt_get_momentum (prt1), prt_get_momentum (prt2))
	end function obs_phi2

	@ %def obs_theta2 obs_phi2
	@ Rapidity and pseudorapidity distance
	<<Observables: procedures>>=
	real(default) function obs_rap2 (prt1, prt2) result (p)
	type(prt_t), intent(in) :: prt1, prt2
	p = rapidity_distance &
	(prt_get_momentum (prt1), prt_get_momentum (prt2))
	end function obs_rap2

	real(default) function obs_eta2 (prt1, prt2) result (p)
	type(prt_t), intent(in) :: prt1, prt2
	type(prt_t) :: prt
	call prt_init_combine (prt, prt1, prt2)
	p = pseudorapidity_distance &
	(prt_get_momentum (prt1), prt_get_momentum (prt2))
	end function obs_eta2

	@ %def obs_rap2 obs_eta2
	@ [This doesn't work! The principle of no common particle for momentum
	combination prohibits us from combining a decay particle with the momentum
	of its parent.] Polar angle in the rest frame of the 2nd argument.
	<<XXX Observables: procedures>>=
	real(default) function obs_theta_rf2 (prt1, prt2) result (theta)
	type(prt_t), intent(in) :: prt1, prt2
	theta = enclosed_angle_rest_frame &
	(prt_get_momentum (prt1), prt_get_momentum (prt2))
	end function obs_theta_rf2

	@ %def obs_theta_rf2
	@ Polar angle of the first particle in the rest frame of the two particles
	combined.
	<<Observables: procedures>>=
	real(default) function obs_theta_star2 (prt1, prt2) result (theta)
	type(prt_t), intent(in) :: prt1, prt2
	theta = enclosed_angle_rest_frame &
	(prt_get_momentum (prt1), &
	prt_get_momentum (prt1) + prt_get_momentum (prt2))
	end function obs_theta_star2

	@ %def obs_theta_star2
	@ Distance on the $\eta$-$\phi$ cylinder.
	<<Observables: procedures>>=
	real(default) function obs_dist2 (prt1, prt2) result (dist)
	type(prt_t), intent(in) :: prt1, prt2
	dist = eta_phi_distance &
	(prt_get_momentum (prt1), prt_get_momentum (prt2))
	end function obs_dist2

	@ %def obs_dist2
	@ Durham kT measure.
	<<Observables: procedures>>=
	real(default) function obs_ktmeasure (prt1, prt2) result (kt)
	type(prt_t), intent(in) :: prt1, prt2
	real (default) :: q2, e1, e2
	! Normalized scale to one for now! (#67)
	q2 = 1
	e1 = energy (prt_get_momentum (prt1))
	e2 = energy (prt_get_momentum (prt2))
	kt = (2/q2) * min(e12,e22) * &
	(1 - enclosed_angle_ct(prt_get_momentum (prt1), &
	prt_get_momentum (prt2)))
	end function obs_ktmeasure

	@ %def obs_ktmeasure
	Index: trunk/src/fks/fks.nw
	===================================================================
	--- trunk/src/fks/fks.nw (revision 8423)
	+++ trunk/src/fks/fks.nw (revision 8424)
	@@ -1,9692 +1,9748 @@
	% -- ess-noweb-default-code-mode: f90-mode; noweb-default-code-mode: f90-mode; --
	% WHIZARD code as NOWEB source: matrix elements and process libraries
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\chapter{FKS Subtraction Scheme}
	\includemodulegraph{fks}

	The code in this chapter implements the FKS subtraction scheme for use
	with \whizard.

	These are the modules:
	\begin{description}
	\item[fks\_regions]
	Given a process definition, identify singular regions in the
	associated phase space.
	\item[virtual]
	Handle the virtual correction matrix element.
	\item[real\_subtraction]
	Handle the real-subtraction matrix element.
	\item[nlo\_data]
	Manage the subtraction objects.
	\end{description}

	This chapter deals with next-to-leading order contributions to cross sections.
	Basically, there are three major issues to be adressed: The creation
	of the $N+1$-particle flavor structure, the construction of the
	$N+1$-particle phase space and the actual calculation of the real- and
	virtual-subtracted matrix elements. The first is dealt with using the
	[[auto_components]] class, and it will be shown that the second
	and third issue are connected in FKS subtraction.

	\section{Brief outline of FKS subtraction}
	{\em In the current state, this discussion is only concerned with
	lepton collisions. For hadron collisions, renormalization of parton
	distributions has to be taken into account. Further, for QCD
	corrections, initial-state radiation is necessarily
	- present. However, most quantities have so far been only constructed
	- for final-state emissions}
	+ present.}

	The aim is to calculate the next-to-leading order cross section
	according to
	\begin{equation*}
	d\sigma_{\rm{NLO}} = \mathcal{B} + \mathcal{V} +
	\mathcal{R}d\Phi_{\rm{rad}}.
	\end{equation*}
	Analytically, the divergences, in terms of poles in the complex
	quantity $\varepsilon = 2-d/2$, cancel. However, this is in general
	-only valid in an arbitrary, comlex number of dimensions. This is,
	+only valid in an arbitrary, complex number of dimensions. This is,
	roughly, the content of the KLN-theorem. \whizard, as any
	other numerical program, is confined to four dimensions. We will
	assume that the KLN-theorem is valid and that there exist subtraction
	terms $\mathcal{C}$ such that
	\begin{equation*}
	d\sigma_{\rm{NLO}} = \mathcal{B} + \underbrace{\mathcal{V} +
	\mathcal{C}}_{\text{finite}} + \underbrace{\mathcal{R} -
	\mathcal{C}}_{\text{finite}},
	\end{equation*}
	i.e. the subtraction terms correspond to the divergent limits of the
	real and virtual matrix element.

	Because $\mathcal{C}$ subtracts the divergences of $\mathcal{R}$ as
	well as those of $\mathcal{V}$, it suffices to consider one of them,
	so we focus on $\mathcal{R}$. For this purpose, $\mathcal{R}$ is
	-rewritten,
	+rewritten as
	\begin{equation*}
	\mathcal{R} = \frac{1}{\xi^2}\frac{1}{1-y} \left(\xi^2
	(1-y)\mathcal{R}\right) =
	\frac{1}{\xi^2}\frac{1}{1-y}\tilde{\mathcal{R}},
	\end{equation*}
	with $\xi = \left(2k_{\rm{rad}}^0\right)/\sqrt{s}$ and $y =
	\cos\theta$, where $k_{\rm{rad}}^0$ denotes the energy of the radiated
	parton and $\theta$ is the angle between emitter and radiated
	parton. $\tilde{\mathcal{R}}$ is finite, therefore the whole
	singularity structure is contained in the prefactor
	-$\xi^{-2}(1-y)^{-1}$. Combined with the d-dimensional phase space
	+$\xi^{-2}(1-y)^{-1}$. Combined with the $d$-dimensional phase space
	element,
	\begin{equation*}
	\frac{d^{d-1}k}{2k^0(2\pi)^{d-1}} =
	\frac{s^{1-\varepsilon}}{(4\pi)^{d-1}}\xi^{1-2\varepsilon}\left(1-y^2\right)^{-\varepsilon}
	d\xi dy d\Omega^{d-2},
	\end{equation*}
	this yields
	\begin{equation*}
	d\Phi_{\rm{rad}} \mathcal{R} = dy (1-y)^{-1-\varepsilon} d\xi
	\xi^{-1-2\varepsilon} \tilde{R}.
	\end{equation*}
	This can further be rewritten in terms of plus-distributions,
	\begin{align*}
	\xi^{-1-2\varepsilon} &= -\frac{1}{2\varepsilon}\delta(\xi) +
	\left(\frac{1}{\xi}\right)_+ -
	2\varepsilon\left(\frac{\log\xi}{\xi}\right)_+ +
	\mathcal{O}(\varepsilon^2),\\
	(1-y)^{-1-\varepsilon} &= -\frac{2^{-\varepsilon}}{\varepsilon}
	\delta(1-y) + \left(\frac{1}{1-y}\right)_+ - \varepsilon
	\left(\frac{1}{1-y}\right)_+\log(1-y) + \mathcal{O}(\varepsilon^2),
	\end{align*}
	(imagine that all this is written inside of integrals, which are
	spared for ease of notation) such that
	\begin{align*}
	d\Phi_{\rm{rad}} \mathcal{R} &= -\frac{1}{2\varepsilon} dy
	(1-y)^{-1-\varepsilon}\tilde{R} (0,y) -
	d\xi\left[\frac{2^{-\varepsilon}}{\varepsilon}\left(\frac{1}{\xi}\right)_+
	- 2\left(\frac{\log\xi}{\xi}\right)_+\right] \tilde{R}(\xi,1) \\
	&+ dy d\xi \left(\frac{1}{\xi}\right)_+
	\left(\frac{1}{1-y}\right)_+
	\tilde{R}(\xi, y) +
	\mathcal{O}(\varepsilon).\\
	\end{align*}
	The summand in the second line is of order $\mathcal{O}(1)$ and is the
	only one to reproduce $\mathcal{R}(\xi,y)$. It thus constitutes the
	sum of the real matrix element and the corresponding counterterms.
	The first summand consequently consists of the subtraction terms to
	the virtual matrix elements. Above formula thus allows to calculate
	all quantities to render the matrix elements finite.

	\clearpage
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\section{Identifying singular regions}
	In the FKS subtraction scheme, the phase space is decomposed into
	disjoint singular regions, such that
	\begin{equation}
	\label{eq:S_complete}
	\sum_i \mathcal{S}_i + \sum_{ij}\mathcal{S}_{ij} = 1.
	\end{equation}
	The quantities $\mathcal{S}_i$ and $\mathcal{S}_{ij}$ are functions of
	phase space corresponding to a pair of particles indices which can
	make up a divergent phase space region. We call such an index pair a
	fundamental tuple. For example, the process $e^+ \, e^- \rightarrow u
	\, \bar{u} \, g$ has two singular regions, $(3,5)$ and $(4,5)$,
	indicating that the gluon can be soft or collinear with respect to
	either the quark or the anti-quark. Therefore, the functions $S_{ij}$
	have to be chosen in such a way that their contribution makes up most
	of \eqref{eq:S_complete} in phase-space configurations where
	(final-state) particle $j$ is collinear to particle $i$ or/and
	particle $j$ is soft. The functions $S_i$ is the corresponding
	quantity for initial-state divergences.

	As a singular region we understand the collection of real flavor
	structures associated with an emitter and a list of all possible
	fundamental tuples. As an example, consider the process $e^+ \, e^-
	\rightarrow u \, \bar{u} \, g$. At next-to-leading order, processes
	with an additionally radiated particle have to be considered. In this
	case, these are $e^+ \, e^- \rightarrow u \, \bar{u}, \, g \, g$,
	and $e^+ \, e^- \rightarrow u \, \bar{u} \, u \, \bar{u}$ (or the same
	process with any other quark). Table \ref{table:singular regions} sums
	up all possible singular regions for this problem.
	\begin{table}
	\begin{tabular}{\|c\|c\|c\|c\|}
	\hline
	- \texttt{alr} & \texttt{flst\_alr} & \texttt{emi} &
	+ \texttt{alr} & \texttt{flst\_alr} & \texttt{emitter} &
	\texttt{ftuple\_list}\\ \hline
	1 & [-11,11,2,-2,21,21] & 3 & {(3,5), (3,6), (4,5), (4,6), (5,6)} \\ \hline
	2 & [-11,11,2,-2,21,21] & 4 & {(3,5), (3,6), (4,5), (4,6), (5,6)} \\ \hline
	3 & [-11,11,2,-2,21,21] & 5 & {(3,5), (3,6), (4,5), (4,6), (5,6)} \\ \hline
	4 & [-11,11,2,-2,2,-2] & 5 & {(3,4), (3,6), (4,5), (5,6)} \\
	\hline
	\end{tabular}
	\caption{List of singular regions. The particles are represented by
	their PDG codes. The third column contains the emitter for the
	specific singular region. For the process involving an additional
	gluon, the gluon can either be emitted from one of the quarks or
	from the first gluon. Each emitter yields the same list of
	fundamental tuples, five in total. The last singular region
	corresponds to the process where the gluon splits up into two
	quarks. As the matrix element for this process has no information
	on which quarks originate from a gluon splitting, there are ftuples
	for all the quark pairs and not just those involving the emitter.}
	\label{table:singular regions}
	\end{table}
	\\
	\begin{table}
	\begin{tabular}{\|c\|c\|c\|c\|}
	\hline
	\texttt{alr} & \texttt{ftuple} & \texttt{emitter} &
	\texttt{flst\_alr} \\ \hline
	1 & $(3,5)$ & 5 & [-11,11,-2,21,2,21] \\ \hline
	2 & $(4,5)$ & 5 & [-11,11,2,21,-2,21] \\ \hline
	3 & $(3,6)$ & 5 & [-11,11,-2,21,2,21] \\ \hline
	4 & $(4,6)$ & 5 & [-11,11,2,21,-2,21] \\ \hline
	5 & $(5,6)$ & 5 & [-11,11,2,-2,21,21] \\ \hline
	6 & $(5,6)$ & 5 & [-11,11,2,-2,2,-2] \\ \hline
	\end{tabular}
	\caption{Initial list of singular regions}
	\label{table:ftuples and flavors}
	\end{table}
	Thus, during the preparation of a NLO-calculation, the possible
	singular regions have to be identified. [[fks_regions.f90]] deals
	with this issue.

	\clearpage
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\section{FKS Regions}
	<<[[fks_regions.f90]]>>=
	<<File header>>

	module fks_regions

	<<Use kinds>>
	use format_utils, only: write_separator
	- use numeric_utils, only: remove_duplicates_from_int_array
	+ use numeric_utils
	use string_utils, only: str
	use io_units
	use os_interface
	<<Use strings>>
	<<Use debug>>
	use constants
	use permutations
	use diagnostics
	use flavors
	use process_constants
	use lorentz
	use pdg_arrays
	use models
	use physics_defs
	use resonances, only: resonance_contributors_t, resonance_history_t
	use phs_fks, only: phs_identifier_t, check_for_phs_identifier

	use nlo_data

	<<Standard module head>>

	<<fks regions: public>>

	<<fks regions: parameters>>

	<<fks regions: types>>

	<<fks regions: interfaces>>

	contains

	<<fks regions: procedures>>

	end module fks_regions
	@ %def fks_regions
	@ There are three fundamental splitting types: $q \rightarrow qg$, $g \rightarrow gg$ and
	$g \rightarrow qq$ for FSR and additionally $q \rightarrow gq$ for ISR which is different
	from $q \rightarrow qg$ by which particle enters the hard process.
	<<fks regions: parameters>>=
	integer, parameter :: UNDEFINED_SPLITTING = 0
	integer, parameter :: F_TO_FV = 1
	integer, parameter :: V_TO_VV = 2
	integer, parameter :: V_TO_FF = 3
	integer, parameter :: F_TO_VF = 4

	@
	@ We group the indices of the emitting and the radiated particle in
	the [[ftuple]]-object.
	<<fks regions: public>>=
	public :: ftuple_t
	<<fks regions: types>>=
	type :: ftuple_t
	integer, dimension(2) :: ireg = [-1,-1]
	integer :: i_res = 0
	integer :: splitting_type
	logical :: pseudo_isr = .false.
	contains
	<<fks regions: ftuple: TBP>>
	end type ftuple_t

	@ %def ftuple_t
	@
	<<fks regions: interfaces>>=
	interface assignment(=)
	module procedure ftuple_assign
	end interface

	interface operator(==)
	module procedure ftuple_equal
	end interface

	interface operator(>)
	module procedure ftuple_greater
	end interface

	interface operator(<)
	module procedure ftuple_less
	end interface

	<<fks regions: procedures>>=
	pure subroutine ftuple_assign (ftuple_out, ftuple_in)
	type(ftuple_t), intent(out) :: ftuple_out
	type(ftuple_t), intent(in) :: ftuple_in
	ftuple_out%ireg = ftuple_in%ireg
	ftuple_out%i_res = ftuple_in%i_res
	ftuple_out%splitting_type = ftuple_in%splitting_type
	ftuple_out%pseudo_isr = ftuple_in%pseudo_isr
	end subroutine ftuple_assign

	@ %def ftuple_assign
	@
	<<fks regions: procedures>>=
	elemental function ftuple_equal (f1, f2) result (value)
	logical :: value
	type(ftuple_t), intent(in) :: f1, f2
	value = all (f1%ireg == f2%ireg) .and. f1%i_res == f2%i_res &
	.and. f1%splitting_type == f2%splitting_type &
	.and. (f1%pseudo_isr .eqv. f2%pseudo_isr)
	end function ftuple_equal

	@ %def ftuple_equal
	@
	<<fks regions: procedures>>=
	elemental function ftuple_equal_ireg (f1, f2) result (value)
	logical :: value
	type(ftuple_t), intent(in) :: f1, f2
	value = all (f1%ireg == f2%ireg)
	end function ftuple_equal_ireg

	@ %def ftuple_equal_ireg
	@
	<<fks regions: procedures>>=
	elemental function ftuple_greater (f1, f2) result (greater)
	logical :: greater
	type(ftuple_t), intent(in) :: f1, f2
	if (f1%ireg(1) == f2%ireg(1)) then
	greater = f1%ireg(2) > f2%ireg(2)
	else
	greater = f1%ireg(1) > f2%ireg(1)
	end if
	end function ftuple_greater

	@ %def ftuple_greater
	@
	<<fks regions: procedures>>=
	elemental function ftuple_less (f1, f2) result (less)
	logical :: less
	type(ftuple_t), intent(in) :: f1, f2
	if (f1%ireg(1) == f2%ireg(1)) then
	less = f1%ireg(2) < f2%ireg(2)
	else
	less = f1%ireg(1) < f2%ireg(1)
	end if
	end function ftuple_less

	@ %def ftuple_less
	<<fks regions: procedures>>=
	subroutine ftuple_sort_array (ftuple_array, equivalences)
	type(ftuple_t), intent(inout), dimension(:), allocatable :: ftuple_array
	logical, intent(inout), dimension(:,:), allocatable :: equivalences
	type(ftuple_t) :: ftuple_tmp
	logical, dimension(:), allocatable :: eq_tmp
	integer :: i1, i2, n
	n = size (ftuple_array)
	allocate (eq_tmp (n))
	do i1 = 2, n
	i2 = i1
	do while (ftuple_array(i2 - 1) > ftuple_array(i2))
	ftuple_tmp = ftuple_array(i2 - 1)
	eq_tmp = equivalences(i2, :)
	ftuple_array(i2 - 1) = ftuple_array(i2)
	ftuple_array(i2) = ftuple_tmp
	equivalences(i2 - 1, :) = equivalences(i2, :)
	equivalences(i2, :) = eq_tmp
	i2 = i2 - 1
	if (i2 == 1) exit
	end do
	end do
	end subroutine ftuple_sort_array

	@ %def ftuple_sort_array
	@
	<<fks regions: ftuple: TBP>>=
	procedure :: write => ftuple_write
	<<fks regions: procedures>>=
	subroutine ftuple_write (ftuple, unit, newline)
	class(ftuple_t), intent(in) :: ftuple
	integer, intent(in), optional :: unit
	logical, intent(in), optional :: newline
	integer :: u
	logical :: nl
	u = given_output_unit (unit); if (u < 0) return
	nl = .true.; if (present(newline)) nl = newline
	if (all (ftuple%ireg > -1)) then
	if (ftuple%i_res > 0) then
	if (nl) then
	write (u, "(A1,I1,A1,I1,A1,I1,A1)") &
	'(', ftuple%ireg(1), ',', ftuple%ireg(2), ';', ftuple%i_res, ')'
	else
	write (u, "(A1,I1,A1,I1,A1,I1,A1)", advance = "no") &
	'(', ftuple%ireg(1), ',', ftuple%ireg(2), ';', ftuple%i_res, ')'
	end if
	else
	if (nl) then
	write (u, "(A1,I1,A1,I1,A1)") &
	'(', ftuple%ireg(1), ',', ftuple%ireg(2), ')'
	else
	write (u, "(A1,I1,A1,I1,A1)", advance = "no") &
	'(', ftuple%ireg(1), ',', ftuple%ireg(2), ')'
	end if
	end if
	else
	write (u, "(A)") "(Empty)"
	end if
	end subroutine ftuple_write

	@ %def ftuple_write
	@
	<<fks regions: procedures>>=
	function ftuple_string (ftuples, latex)
	type(string_t) :: ftuple_string
	type(ftuple_t), intent(in), dimension(:) :: ftuples
	logical, intent(in) :: latex
	integer :: i, nreg
	if (latex) then
	ftuple_string = var_str ("$\left\{")
	else
	ftuple_string = var_str ("{")
	end if
	nreg = size(ftuples)
	do i = 1, nreg
	if (ftuples(i)%i_res == 0) then
	ftuple_string = ftuple_string // var_str ("(") // &
	str (ftuples(i)%ireg(1)) // var_str (",") // &
	str (ftuples(i)%ireg(2)) // var_str (")")
	else
	ftuple_string = ftuple_string // var_str ("(") // &
	str (ftuples(i)%ireg(1)) // var_str (",") // &
	str (ftuples(i)%ireg(2)) // var_str (";") // &
	str (ftuples(i)%i_res) // var_str (")")
	end if
	if (ftuples(i)%pseudo_isr) ftuple_string = ftuple_string // var_str ("*")
	if (i < nreg) ftuple_string = ftuple_string // var_str (",")
	end do
	if (latex) then
	ftuple_string = ftuple_string // var_str ("\right\}$")
	else
	ftuple_string = ftuple_string // var_str ("}")
	end if
	end function ftuple_string

	@ %def ftuple_string
	@
	<<fks regions: ftuple: TBP>>=
	procedure :: get => ftuple_get
	<<fks regions: procedures>>=
	subroutine ftuple_get (ftuple, pos1, pos2)
	class(ftuple_t), intent(in) :: ftuple
	integer, intent(out) :: pos1, pos2
	pos1 = ftuple%ireg(1)
	pos2 = ftuple%ireg(2)
	end subroutine ftuple_get

	@ %def ftuple_get
	@
	<<fks regions: ftuple: TBP>>=
	procedure :: set => ftuple_set
	<<fks regions: procedures>>=
	subroutine ftuple_set (ftuple, pos1, pos2)
	class(ftuple_t), intent(inout) :: ftuple
	integer, intent(in) :: pos1, pos2
	ftuple%ireg(1) = pos1
	ftuple%ireg(2) = pos2
	end subroutine ftuple_set

	@ %def ftuple_set
	@ Determines the splitting type for FSR. There are three different types of splittings
	relevant here: $g \to gg$ tagged [[V_TO_VV]], $g \to qq$ tagged [[V_TO_FF]] and
	$q \to qg$ tagged [[F_TO_FV]]. For FSR, there is no need to differentiate between
	$q \to qg$ and $q \to gq$ splittings.
	<<fks regions: ftuple: TBP>>=
	procedure :: determine_splitting_type_fsr => ftuple_determine_splitting_type_fsr
	<<fks regions: procedures>>=
	subroutine ftuple_determine_splitting_type_fsr (ftuple, flv, i, j)
	class(ftuple_t), intent(inout) :: ftuple
	type(flv_structure_t), intent(in) :: flv
	integer, intent(in) :: i, j
	associate (flst => flv%flst)
	if (is_vector (flst(i)) .and. is_vector (flst(j))) then
	ftuple%splitting_type = V_TO_VV
	else if (flst(i)+flst(j) == 0 &
	.and. is_fermion (flst(i))) then
	ftuple%splitting_type = V_TO_FF
	else if (is_fermion(flst(i)) .and. is_massless_vector (flst(j)) &
	.or. is_fermion(flst(j)) .and. is_massless_vector (flst(i))) then
	ftuple%splitting_type = F_TO_FV
	else
	ftuple%splitting_type = UNDEFINED_SPLITTING
	end if
	end associate
	end subroutine ftuple_determine_splitting_type_fsr

	@ %def ftuple_determine_splitting_type_fsr
	@ Determines the splitting type for ISR. There are four different types of splittings
	relevant here: $g \to gg$ tagged [[V_TO_VV]], $g \to qq$ tagged [[V_TO_FF]], $q \to qg$
	tagged [[F_TO_FV]] and $q \to gq$ tagged [[F_TO_VF]]. The latter two need to be considered
	separately for ISR as they differ with respect to which particle enters the hard process.
	A splitting [[F_TO_FV]] may lead to soft divergences while [[F_TO_VF]] does not.\\
	We also want to emphasize that the splitting type naming convention for ISR names the
	splittings considering backwards evolution. So in the splitting [[V_TO_FF]], it is the
	\textit{gluon} that enteres the hard process!\\
	Special treatment here is required if emitter $0$ is assigned. This is the case only when a
	gluon was radiated from any of the IS particles. In this case, both splittings are soft divergent
	so we can equivalently choose $1$ or $2$ as the emitter here even if both have different flavors.
	<<fks regions: ftuple: TBP>>=
	procedure :: determine_splitting_type_isr => ftuple_determine_splitting_type_isr
	<<fks regions: procedures>>=
	subroutine ftuple_determine_splitting_type_isr (ftuple, flv, i, j)
	class(ftuple_t), intent(inout) :: ftuple
	type(flv_structure_t), intent(in) :: flv
	integer, intent(in) :: i, j
	integer :: em
	em = i; if (i == 0) em = 1
	associate (flst => flv%flst)
	if (is_vector (flst(em)) .and. is_vector (flst(j))) then
	ftuple%splitting_type = V_TO_VV
	else if (is_massless_vector(flst(em)) .and. is_fermion(flst(j))) then
	ftuple%splitting_type = F_TO_VF
	else if (is_fermion(flst(em)) .and. is_massless_vector(flst(j))) then
	ftuple%splitting_type = F_TO_FV
	else if (is_fermion(flst(em)) .and. is_fermion(flst(j))) then
	ftuple%splitting_type = V_TO_FF
	else
	ftuple%splitting_type = UNDEFINED_SPLITTING
	end if
	end associate
	end subroutine ftuple_determine_splitting_type_isr

	@ %def ftuple_determine_splitting_type_isr
	@ Two debug functions to check the consistency of [[ftuples]]
	<<fks regions: ftuple: TBP>>=
	procedure :: has_negative_elements => ftuple_has_negative_elements
	procedure :: has_identical_elements => ftuple_has_identical_elements
	<<fks regions: procedures>>=
	elemental function ftuple_has_negative_elements (ftuple) result (value)
	logical :: value
	class(ftuple_t), intent(in) :: ftuple
	value = any (ftuple%ireg < 0)
	end function ftuple_has_negative_elements

	elemental function ftuple_has_identical_elements (ftuple) result (value)
	logical :: value
	class(ftuple_t), intent(in) :: ftuple
	value = ftuple%ireg(1) == ftuple%ireg(2)
	end function ftuple_has_identical_elements

	@ %def ftuple_has_negative_elements, ftuple_has_identical_elements
	@ Each singular region can have a different number of
	emitter-radiation pairs. This is coped with using the linked list
	[[ftuple_list]].
	<<fks regions: types>>=
	type :: ftuple_list_t
	integer :: index = 0
	type(ftuple_t) :: ftuple
	type(ftuple_list_t), pointer :: next => null ()
	type(ftuple_list_t), pointer :: prev => null ()
	type(ftuple_list_t), pointer :: equiv => null ()
	contains
	<<fks regions: ftuple list: TBP>>
	end type ftuple_list_t

	@ %def ftuple_list_t
	@
	<<fks regions: ftuple list: TBP>>=
	procedure :: write => ftuple_list_write
	<<fks regions: procedures>>=
	subroutine ftuple_list_write (list, unit, verbose)
	class(ftuple_list_t), intent(in), target :: list
	integer, intent(in), optional :: unit
	logical, intent(in), optional :: verbose
	type(ftuple_list_t), pointer :: current
	logical :: verb
	integer :: u
	u = given_output_unit (unit); if (u < 0) return
	verb = .false.; if (present (verbose)) verb = verbose
	select type (list)
	type is (ftuple_list_t)
	current => list
	do
	call current%ftuple%write (unit = u, newline = .false.)
	if (verb .and. associated (current%equiv)) write (u, '(A)', advance = "no") "'"
	if (associated (current%next)) then
	current => current%next
	else
	exit
	end if
	end do
	write (u, *) ""
	end select
	end subroutine ftuple_list_write

	@ %def ftuple_list_write
	@
	<<fks regions: ftuple list: TBP>>=
	procedure :: append => ftuple_list_append
	<<fks regions: procedures>>=
	subroutine ftuple_list_append (list, ftuple)
	class(ftuple_list_t), intent(inout), target :: list
	type(ftuple_t), intent(in) :: ftuple
	type(ftuple_list_t), pointer :: current

	select type (list)
	type is (ftuple_list_t)
	if (list%index == 0) then
	nullify (list%next)
	list%index = 1
	list%ftuple = ftuple
	else
	current => list
	do
	if (associated (current%next)) then
	current => current%next
	else
	allocate (current%next)
	nullify (current%next%next)
	nullify (current%next%equiv)
	current%next%prev => current
	current%next%index = current%index + 1
	current%next%ftuple = ftuple
	exit
	end if
	end do
	end if
	end select
	end subroutine ftuple_list_append

	@ %def ftuple_list_append
	@
	<<fks regions: ftuple list: TBP>>=
	procedure :: get_n_tuples => ftuple_list_get_n_tuples
	<<fks regions: procedures>>=
	impure elemental function ftuple_list_get_n_tuples (list) result(n_tuples)
	integer :: n_tuples
	class(ftuple_list_t), intent(in), target :: list
	type(ftuple_list_t), pointer :: current
	n_tuples = 0
	select type (list)
	type is (ftuple_list_t)
	current => list
	if (current%index > 0) then
	n_tuples = 1
	do
	if (associated (current%next)) then
	current => current%next
	n_tuples = n_tuples + 1
	else
	exit
	end if
	end do
	end if
	end select
	end function ftuple_list_get_n_tuples

	@ %def ftuple_list_get_n_tuples
	@
	<<fks regions: ftuple list: TBP>>=
	procedure :: get_entry => ftuple_list_get_entry
	<<fks regions: procedures>>=
	function ftuple_list_get_entry (list, index) result (entry)
	type(ftuple_list_t), pointer :: entry
	class(ftuple_list_t), intent(in), target :: list
	integer, intent(in) :: index
	type(ftuple_list_t), pointer :: current
	integer :: i
	entry => null()
	select type (list)
	type is (ftuple_list_t)
	current => list
	if (index == 1) then
	entry => current
	else
	do i = 1, index - 1
	current => current%next
	end do
	entry => current
	end if
	end select
	end function ftuple_list_get_entry

	@ %def ftuple_list_get_entry
	@
	<<fks regions: ftuple list: TBP>>=
	procedure :: get_ftuple => ftuple_list_get_ftuple
	<<fks regions: procedures>>=
	function ftuple_list_get_ftuple (list, index) result (ftuple)
	type(ftuple_t) :: ftuple
	class(ftuple_list_t), intent(in), target :: list
	integer, intent(in) :: index
	type(ftuple_list_t), pointer :: entry
	entry => list%get_entry (index)
	ftuple = entry%ftuple
	end function ftuple_list_get_ftuple

	@ %def ftuple_list_get_ftuple
	@
	<<fks regions: ftuple list: TBP>>=
	procedure :: set_equiv => ftuple_list_set_equiv
	<<fks regions: procedures>>=
	subroutine ftuple_list_set_equiv (list, i1, i2)
	class(ftuple_list_t), intent(in) :: list
	integer, intent(in) :: i1, i2
	type(ftuple_list_t), pointer :: list1, list2 => null ()
	select type (list)
	type is (ftuple_list_t)
	if (list%get_ftuple (i1) > list%get_ftuple (i2)) then
	list1 => list%get_entry (i2)
	list2 => list%get_entry (i1)
	else
	list1 => list%get_entry (i1)
	list2 => list%get_entry (i2)
	end if
	do
	if (associated (list1%equiv)) then
	list1 => list1%equiv
	else
	exit
	end if
	end do
	list1%equiv => list2
	end select
	end subroutine ftuple_list_set_equiv

	@ %def ftuple_list_set_equiv
	@
	<<fks regions: ftuple list: TBP>>=
	procedure :: check_equiv => ftuple_list_check_equiv
	<<fks regions: procedures>>=
	function ftuple_list_check_equiv(list, i1, i2) result(eq)
	class(ftuple_list_t), intent(in) :: list
	integer, intent(in) :: i1, i2
	logical :: eq
	type(ftuple_list_t), pointer :: current
	eq = .false.
	select type (list)
	type is (ftuple_list_t)
	current => list%get_entry (i1)
	do
	if (associated (current%equiv)) then
	current => current%equiv
	if (current%index == i2) then
	eq = .true.
	exit
	end if
	else
	exit
	end if
	end do
	end select
	end function ftuple_list_check_equiv

	@ %def ftuple_list_sort
	@
	<<fks regions: ftuple list: TBP>>=
	procedure :: to_array => ftuple_list_to_array
	<<fks regions: procedures>>=
	subroutine ftuple_list_to_array (ftuple_list, ftuple_array, equivalences, ordered)
	class(ftuple_list_t), intent(in), target :: ftuple_list
	type(ftuple_t), intent(out), dimension(:), allocatable :: ftuple_array
	logical, intent(out), dimension(:,:), allocatable :: equivalences
	logical, intent(in) :: ordered
	integer :: i_tuple, n
	type(ftuple_list_t), pointer :: current => null ()
	integer :: i1, i2
	type(ftuple_t) :: ftuple_tmp
	logical, dimension(:), allocatable :: eq_tmp
	n = ftuple_list%get_n_tuples ()
	allocate (ftuple_array (n), equivalences (n, n))
	equivalences = .false.
	select type (ftuple_list)
	type is (ftuple_list_t)
	current => ftuple_list
	i_tuple = 1
	do
	ftuple_array(i_tuple) = current%ftuple
	if (associated (current%equiv)) then
	i1 = current%index
	i2 = current%equiv%index
	equivalences (i1, i2) = .true.
	end if
	if (associated (current%next)) then
	current => current%next
	i_tuple = i_tuple + 1
	else
	exit
	end if
	end do
	end select
	if (ordered) call ftuple_sort_array (ftuple_array, equivalences)
	end subroutine ftuple_list_to_array

	@ %def ftuple_list_to_array
	@
	<<fks regions: procedures>>=
	subroutine print_equivalence_matrix (ftuple_array, equivalences)
	type(ftuple_t), intent(in), dimension(:) :: ftuple_array
	logical, intent(in), dimension(:,:) :: equivalences
	integer :: i, i1, i2
	print *, 'Equivalence matrix: '
	do i = 1, size (ftuple_array)
	call ftuple_array(i)%get(i1,i2)
	print *, 'i: ', i, '(', i1, i2, '): ', equivalences(i,:)
	end do
	end subroutine print_equivalence_matrix

	@ %def print_equivalence_matrix
	@ Class for working with the flavor specification arrays.
	<<fks regions: public>>=
	public :: flv_structure_t
	<<fks regions: types>>=
	type :: flv_structure_t
	integer, dimension(:), allocatable :: flst
	integer, dimension(:), allocatable :: tag
	integer :: nlegs = 0
	integer :: n_in = 0
	logical, dimension(:), allocatable :: massive
	logical, dimension(:), allocatable :: colored
	real(default), dimension(:), allocatable :: charge
	real(default) :: prt_symm_fs = 1._default
	contains
	<<fks regions: flv structure: TBP>>
	end type flv_structure_t

	@ %def flv_structure_t
	@
	Returns \texttt{true} if the two particles at position \texttt{i}
	and \texttt{j} in the flavor array can originate from the same
	splitting. For this purpose, the function first checks whether the splitting is
	allowed at all. If this is the case, the emitter is removed from the
	flavor array. If the resulting array is equivalent to the Born flavor
	structure \texttt{flv\_born}, the pair is accepted as a valid
	splitting.

	We first check whether the splitting is possible. The array
	[[flv_orig]] contains all particles which share a vertex with the
	particles at position [[i]] and [[j]]. If any of these particles belongs
	to the initial state, a PDG-ID flip is necessary to correctly recognize
	the vertex. If its size is equal to zero, no splitting is possible and
	the subroutine is exited. Otherwise, we loop over all possible underlying
	Born flavor structures and check if any of them equals the actual underlying
	Born flavor structure. For a quark emitting a gluon, [[flv_orig]] contains
	the PDG code of the anti-quark. To be on the safe side, a second array is created,
	which contains both the positively and negatively signed PDG
	codes. Then, the origial tuple $(i,j)$ is removed from the real flavor
	structure and the particles in [[flv_orig2]] are inserted.
	If the resulting Born configuration is equal to the underlying Born
	configuration, up to a permutation of final-state particles, the tuple
	$(i,j)$ is accepted as valid.
	<<fks regions: flv structure: TBP>>=
	procedure :: valid_pair => flv_structure_valid_pair
	<<fks regions: procedures>>=
	function flv_structure_valid_pair &
	(flv, i, j, flv_ref, model) result (valid)
	logical :: valid
	class(flv_structure_t), intent(in) :: flv
	integer, intent(in) :: i,j
	type(flv_structure_t), intent(in) :: flv_ref
	type(model_t), intent(in) :: model
	integer :: k, n_orig
	type(flv_structure_t) :: flv_test
	integer, dimension(:), allocatable :: flv_orig
	valid = .false.
	if (all ([i, j] <= flv%n_in)) return
	if (i <= flv%n_in .and. is_fermion(flv%flst(i))) then
	call model%match_vertex (-flv%flst(i), flv%flst(j), flv_orig)
	else if (j <= flv%n_in .and. is_fermion(flv%flst(j))) then
	call model%match_vertex (flv%flst(i), -flv%flst(j), flv_orig)
	else
	call model%match_vertex (flv%flst(i), flv%flst(j), flv_orig)
	end if
	n_orig = size (flv_orig)
	if (n_orig == 0) then
	return
	else
	do k = 1, n_orig
	if (any ([i, j] <= flv%n_in)) then
	flv_test = flv%insert_particle_isr (i, j, flv_orig(k))
	else
	flv_test = flv%insert_particle_fsr (i, j, flv_orig(k))
	end if
	valid = flv_ref .equiv. flv_test
	call flv_test%final ()
	if (valid) return
	end do
	end if
	deallocate (flv_orig)
	end function flv_structure_valid_pair

	@ %def flv_structure_valid_pair
	@ This function checks whether two flavor arrays are the same up to a
	permutation of the final-state particles
	<<fks regions: procedures>>=
	function flv_structure_equivalent (flv1, flv2, with_tag) result(equiv)
	logical :: equiv
	type(flv_structure_t), intent(in) :: flv1, flv2
	logical, intent(in) :: with_tag
	type(flavor_permutation_t) :: perm
	integer :: n
	n = size (flv1%flst)
	equiv = .true.
	if (n /= size (flv2%flst)) then
	call msg_fatal &
	('flv_structure_equivalent: flavor arrays do not have equal lengths')
	else if (flv1%n_in /= flv2%n_in) then
	call msg_fatal &
	('flv_structure_equivalent: flavor arrays do not have equal n_in')
	else
	call perm%init (flv1, flv2, flv1%n_in, flv1%nlegs, with_tag)
	equiv = perm%test (flv2, flv1, with_tag)
	call perm%final ()
	end if
	end function flv_structure_equivalent

	@ %def flv_structure_equivalent
	@
	<<fks regions: procedures>>=
	function flv_structure_equivalent_no_tag (flv1, flv2) result(equiv)
	logical :: equiv
	type(flv_structure_t), intent(in) :: flv1, flv2
	equiv = flv_structure_equivalent (flv1, flv2, .false.)
	end function flv_structure_equivalent_no_tag

	function flv_structure_equivalent_with_tag (flv1, flv2) result(equiv)
	logical :: equiv
	type(flv_structure_t), intent(in) :: flv1, flv2
	equiv = flv_structure_equivalent (flv1, flv2, .true.)
	end function flv_structure_equivalent_with_tag


	@ %def flv_structure_equivalent_no_tag, flv_structure_equivalent_with_tag
	@
	<<fks regions: procedures>>=
	pure subroutine flv_structure_assign_flv (flv_out, flv_in)
	type(flv_structure_t), intent(out) :: flv_out
	type(flv_structure_t), intent(in) :: flv_in
	flv_out%nlegs = flv_in%nlegs
	flv_out%n_in = flv_in%n_in
	flv_out%prt_symm_fs = flv_in%prt_symm_fs
	if (allocated (flv_in%flst)) then
	allocate (flv_out%flst (size (flv_in%flst)))
	flv_out%flst = flv_in%flst
	end if
	if (allocated (flv_in%tag)) then
	allocate (flv_out%tag (size (flv_in%tag)))
	flv_out%tag = flv_in%tag
	end if
	if (allocated (flv_in%massive)) then
	allocate (flv_out%massive (size (flv_in%massive)))
	flv_out%massive = flv_in%massive
	end if
	if (allocated (flv_in%colored)) then
	allocate (flv_out%colored (size (flv_in%colored)))
	flv_out%colored = flv_in%colored
	end if
	end subroutine flv_structure_assign_flv

	@ %def flv_structure_assign_flv
	@
	<<fks regions: procedures>>=
	pure subroutine flv_structure_assign_integer (flv_out, iarray)
	type(flv_structure_t), intent(out) :: flv_out
	integer, intent(in), dimension(:) :: iarray
	integer :: i
	flv_out%nlegs = size (iarray)
	allocate (flv_out%flst (flv_out%nlegs))
	allocate (flv_out%tag (flv_out%nlegs))
	flv_out%flst = iarray
	flv_out%tag = [(i, i = 1, flv_out%nlegs)]
	end subroutine flv_structure_assign_integer

	@ %def flv_structure_assign_integer
	@ Returs a new flavor array with the particle at position
	\texttt{index} removed.
	<<fks regions: flv structure: TBP>>=
	procedure :: remove_particle => flv_structure_remove_particle
	<<fks regions: procedures>>=
	function flv_structure_remove_particle (flv, index) result(flv_new)
	type(flv_structure_t) :: flv_new
	class(flv_structure_t), intent(in) :: flv
	integer, intent(in) :: index
	integer :: n1, n2
	integer :: i, removed_tag
	n1 = size (flv%flst); n2 = n1 - 1
	allocate (flv_new%flst (n2), flv_new%tag (n2))
	flv_new%nlegs = n2
	flv_new%n_in = flv%n_in
	removed_tag = flv%tag(index)
	if (index == 1) then
	flv_new%flst(1 : n2) = flv%flst(2 : n1)
	flv_new%tag(1 : n2) = flv%tag(2 : n1)
	else if (index == n1) then
	flv_new%flst(1 : n2) = flv%flst(1 : n2)
	flv_new%tag(1 : n2) = flv%tag(1 : n2)
	else
	flv_new%flst(1 : index - 1) = flv%flst(1 : index - 1)
	flv_new%flst(index : n2) = flv%flst(index + 1 : n1)
	flv_new%tag(1 : index - 1) = flv%tag(1 : index - 1)
	flv_new%tag(index : n2) = flv%tag(index + 1 : n1)
	end if
	do i = 1, n2
	if (flv_new%tag(i) > removed_tag) &
	flv_new%tag(i) = flv_new%tag(i) - 1
	end do
	call flv_new%compute_prt_symm_fs (flv_new%n_in)
	end function flv_structure_remove_particle

	@ %def flv_structure_remove_particle
	@ Removes the particles at position i1 and i2 and inserts a new
	particle of matching flavor at position i1.
	<<fks regions: flv structure: TBP>>=
	procedure :: insert_particle_fsr => flv_structure_insert_particle_fsr
	<<fks regions: procedures>>=
	function flv_structure_insert_particle_fsr (flv, i1, i2, flv_add) result (flv_new)
	type(flv_structure_t) :: flv_new
	class(flv_structure_t), intent(in) :: flv
	integer, intent(in) :: i1, i2, flv_add
	if (flv%flst(i1) + flv_add == 0 .or. flv%flst(i2) + flv_add == 0) then
	flv_new = flv%insert_particle (i1, i2, -flv_add)
	else
	flv_new = flv%insert_particle (i1, i2, flv_add)
	end if
	end function flv_structure_insert_particle_fsr

	@ %def flv_structure_insert_particle_fsr
	@ Same as [[insert_particle_fsr]] but for ISR, the two particles are not exchangable.
	<<fks regions: flv structure: TBP>>=
	procedure :: insert_particle_isr => flv_structure_insert_particle_isr
	<<fks regions: procedures>>=
	function flv_structure_insert_particle_isr (flv, i_in, i_out, flv_add) result (flv_new)
	type(flv_structure_t) :: flv_new
	class(flv_structure_t), intent(in) :: flv
	integer, intent(in) :: i_in, i_out, flv_add
	if (flv%flst(i_in) + flv_add == 0) then
	flv_new = flv%insert_particle (i_in, i_out, -flv_add)
	else
	flv_new = flv%insert_particle (i_in, i_out, flv_add)
	end if
	end function flv_structure_insert_particle_isr

	@ %def flv_structure_insert_particle_isr
	@ Removes the particles at position i1 and i2 and inserts a new
	particle at position i1.
	<<fks regions: flv structure: TBP>>=
	procedure :: insert_particle => flv_structure_insert_particle
	<<fks regions: procedures>>=
	function flv_structure_insert_particle (flv, i1, i2, particle) result (flv_new)
	type(flv_structure_t) :: flv_new
	class(flv_structure_t), intent(in) :: flv
	integer, intent(in) :: i1, i2, particle
	type(flv_structure_t) :: flv_tmp
	integer :: n1, n2
	integer :: new_tag
	n1 = size (flv%flst); n2 = n1 - 1
	allocate (flv_new%flst (n2), flv_new%tag (n2))
	flv_new%nlegs = n2
	flv_new%n_in = flv%n_in
	new_tag = maxval(flv%tag) + 1
	if (i1 < i2) then
	flv_tmp = flv%remove_particle (i1)
	flv_tmp = flv_tmp%remove_particle (i2 - 1)
	else if(i2 < i1) then
	flv_tmp = flv%remove_particle(i2)
	flv_tmp = flv_tmp%remove_particle(i1 - 1)
	else
	call msg_fatal ("flv_structure_insert_particle: Indices are identical!")
	end if
	if (i1 == 1) then
	flv_new%flst(1) = particle
	flv_new%flst(2 : n2) = flv_tmp%flst(1 : n2 - 1)
	flv_new%tag(1) = new_tag
	flv_new%tag(2 : n2) = flv_tmp%tag(1 : n2 - 1)
	else if (i1 == n1 .or. i1 == n2) then
	flv_new%flst(1 : n2 - 1) = flv_tmp%flst(1 : n2 - 1)
	flv_new%flst(n2) = particle
	flv_new%tag(1 : n2 - 1) = flv_tmp%tag(1 : n2 - 1)
	flv_new%tag(n2) = new_tag
	else
	flv_new%flst(1 : i1 - 1) = flv_tmp%flst(1 : i1 - 1)
	flv_new%flst(i1) = particle
	flv_new%flst(i1 + 1 : n2) = flv_tmp%flst(i1 : n2 - 1)
	flv_new%tag(1 : i1 - 1) = flv_tmp%tag(1 : i1 - 1)
	flv_new%tag(i1) = new_tag
	flv_new%tag(i1 + 1 : n2) = flv_tmp%tag(i1 : n2 - 1)
	end if
	call flv_new%compute_prt_symm_fs (flv_new%n_in)
	end function flv_structure_insert_particle

	@ %def flv_structure_insert_particle
	@ Counts the number of occurances of a particle in a
	flavor array
	<<fks regions: flv structure: TBP>>=
	procedure :: count_particle => flv_structure_count_particle
	<<fks regions: procedures>>=
	function flv_structure_count_particle (flv, part) result (n)
	class(flv_structure_t), intent(in) :: flv
	integer, intent(in) :: part
	integer :: n
	n = count (flv%flst == part)
	end function flv_structure_count_particle

	@ %def flv_structure_count_particle
	@ Initializer for flavor structures
	<<fks regions: flv structure: TBP>>=
	procedure :: init => flv_structure_init
	<<fks regions: procedures>>=
	subroutine flv_structure_init (flv, aval, n_in, tags)
	class(flv_structure_t), intent(inout) :: flv
	integer, intent(in), dimension(:) :: aval
	integer, intent(in) :: n_in
	integer, intent(in), dimension(:), optional :: tags
	integer :: i, n
	integer, dimension(:), allocatable :: aval_unique
	integer, dimension(:), allocatable :: mult
	n = size (aval)
	allocate (flv%flst (n), flv%tag (n))
	flv%flst = aval
	if (present (tags)) then
	flv%tag = tags
	else
	do i = 1, n
	flv%tag(i) = i
	end do
	end if
	flv%nlegs = n
	flv%n_in = n_in
	call flv%compute_prt_symm_fs (flv%n_in)
	end subroutine flv_structure_init

	@ %def flv_structure_init
	@
	<<fks regions: flv structure: TBP>>=
	procedure :: compute_prt_symm_fs => flv_structure_compute_prt_symm_fs
	<<fks regions: procedures>>=
	subroutine flv_structure_compute_prt_symm_fs (flv, n_in)
	class(flv_structure_t), intent(inout) :: flv
	integer, intent(in) :: n_in
	integer, dimension(:), allocatable :: flst_unique
	integer, dimension(:), allocatable :: mult
	integer :: i
	flst_unique = remove_duplicates_from_int_array (flv%flst(n_in + 1 :))
	allocate (mult(size (flst_unique)))
	do i = 1, size (flst_unique)
	mult(i) = count (flv%flst(n_in + 1 :) == flst_unique(i))
	end do
	flv%prt_symm_fs = one / product (gamma (real (mult + 1, default)))
	end subroutine flv_structure_compute_prt_symm_fs

	@ %def flv_structure_compute_prt_symm_fs
	@
	<<fks regions: flv structure: TBP>>=
	procedure :: write => flv_structure_write
	<<fks regions: procedures>>=
	subroutine flv_structure_write (flv, unit)
	class(flv_structure_t), intent(in) :: flv
	integer, intent(in), optional :: unit
	integer :: u
	u = given_output_unit (unit); if (u < 0) return
	write (u, '(A)') char (flv%to_string ())
	end subroutine flv_structure_write

	@ %def flv_structure_write
	@
	<<fks regions: flv structure: TBP>>=
	procedure :: to_string => flv_structure_to_string
	<<fks regions: procedures>>=
	function flv_structure_to_string (flv) result (flv_string)
	type(string_t) :: flv_string
	class(flv_structure_t), intent(in) :: flv
	integer :: i, n
	if (allocated (flv%flst)) then
	flv_string = var_str ("[")
	n = size (flv%flst)
	do i = 1, n - 1
	flv_string = flv_string // str (flv%flst(i)) // var_str(",")
	end do
	flv_string = flv_string // str (flv%flst(n)) // var_str("]")
	else
	flv_string = var_str ("[not allocated]")
	end if
	end function flv_structure_to_string

	@ %def flv_structure_to_string
	@ Creates the underlying Born flavor structure for a given real flavor
	structure if the particle at position \texttt{emitter} is removed
	<<fks regions: flv structure: TBP>>=
	procedure :: create_uborn => flv_structure_create_uborn
	<<fks regions: procedures>>=
	function flv_structure_create_uborn (flv, emitter, nlo_correction_type) result(flv_uborn)
	type(flv_structure_t) :: flv_uborn
	class(flv_structure_t), intent(in) :: flv
	type(string_t), intent(in) :: nlo_correction_type
	integer, intent(in) :: emitter
	integer n_legs
	integer :: f1, f2
	integer :: gauge_boson

	n_legs = size(flv%flst)
	allocate (flv_uborn%flst (n_legs - 1), flv_uborn%tag (n_legs - 1))
	gauge_boson = determine_gauge_boson_to_be_inserted ()

	if (emitter > flv%n_in) then
	f1 = flv%flst(n_legs); f2 = flv%flst(n_legs - 1)
	if (is_massless_vector (f1)) then
	!!! Emitted particle is a gluon or photon => just remove it
	flv_uborn = flv%remove_particle(n_legs)
	else if (is_fermion (f1) .and. is_fermion (f2) .and. f1 + f2 == 0) then
	!!! Emission type is a gauge boson splitting into two fermions
	flv_uborn = flv%insert_particle(n_legs - 1, n_legs, gauge_boson)
	else
	call msg_error ("Create underlying Born: Unsupported splitting type.")
	call msg_error (char (str (flv%flst)))
	call msg_fatal ("FKS - FAIL")
	end if
	else if (emitter > 0) then
	f1 = flv%flst(n_legs); f2 = flv%flst(emitter)
	if (is_massless_vector (f1)) then
	flv_uborn = flv%remove_particle(n_legs)
	else if (is_fermion (f1) .and. is_massless_vector (f2)) then
	flv_uborn = flv%insert_particle (emitter, n_legs, -f1)
	else if (is_fermion (f1) .and. is_fermion (f2) .and. f1 == f2) then
	flv_uborn = flv%insert_particle(emitter, n_legs, gauge_boson)
	end if
	else
	flv_uborn = flv%remove_particle (n_legs)
	end if

	contains
	integer function determine_gauge_boson_to_be_inserted ()
	select case (char (nlo_correction_type))
	case ("QCD")
	determine_gauge_boson_to_be_inserted = GLUON
	case ("EW")
	determine_gauge_boson_to_be_inserted = PHOTON
	case ("Full")
	call msg_fatal ("NLO correction type 'Full' not yet implemented!")
	case default
	call msg_fatal ("Invalid NLO correction type! Valid inputs are: QCD, EW and Full (default: QCD)")
	end select
	end function determine_gauge_boson_to_be_inserted

	end function flv_structure_create_uborn

	@ %def flv_structure_create_uborn
	@
	<<fks regions: flv structure: TBP>>=
	procedure :: init_mass_color_and_charge => flv_structure_init_mass_color_and_charge
	<<fks regions: procedures>>=
	subroutine flv_structure_init_mass_color_and_charge (flv, model)
	class(flv_structure_t), intent(inout) :: flv
	type(model_t), intent(in) :: model
	integer :: i
	type(flavor_t) :: flavor
	allocate (flv%massive (flv%nlegs), flv%colored(flv%nlegs), flv%charge(flv%nlegs))
	do i = 1, flv%nlegs
	call flavor%init (flv%flst(i), model)
	flv%massive(i) = flavor%get_mass () > 0
	flv%colored(i) = &
	is_quark (flv%flst(i)) .or. is_gluon (flv%flst(i))
	if (flavor%is_antiparticle ()) then
	flv%charge(i) = -flavor%get_charge ()
	else
	flv%charge(i) = flavor%get_charge ()
	end if
	end do
	end subroutine flv_structure_init_mass_color_and_charge

	@ %def flv_structure_init_mass_color_and_charge
	@
	<<fks regions: flv structure: TBP>>=
	procedure :: get_last_two => flv_structure_get_last_two
	<<fks regions: procedures>>=
	function flv_structure_get_last_two (flv, n) result (flst_last)
	integer, dimension(2) :: flst_last
	class(flv_structure_t), intent(in) :: flv
	integer, intent(in) :: n
	flst_last = [flv%flst(n - 1), flv%flst(n)]
	end function flv_structure_get_last_two

	@ %def flv_structure_get_last_two
	@
	<<fks regions: flv structure: TBP>>=
	procedure :: final => flv_structure_final
	<<fks regions: procedures>>=
	subroutine flv_structure_final (flv)
	class(flv_structure_t), intent(inout) :: flv
	if (allocated (flv%flst)) deallocate (flv%flst)
	if (allocated (flv%tag)) deallocate (flv%tag)
	if (allocated (flv%massive)) deallocate (flv%massive)
	if (allocated (flv%colored)) deallocate (flv%colored)
	if (allocated (flv%charge)) deallocate (flv%charge)
	end subroutine flv_structure_final

	@ %def flv_structure_final
	@
	<<fks regions: public>>=
	public :: flavor_permutation_t
	<<fks regions: types>>=
	type :: flavor_permutation_t
	integer, dimension(:,:), allocatable :: perms
	contains
	<<fks regions: flavor permutation: TBP>>
	end type flavor_permutation_t

	@ %def flavor_permutation_t
	@
	<<fks regions: flavor permutation: TBP>>=
	procedure :: init => flavor_permutation_init
	<<fks regions: procedures>>=
	subroutine flavor_permutation_init (perm, flv_in, flv_ref, n_first, n_last, with_tag)
	class(flavor_permutation_t), intent(out) :: perm
	type(flv_structure_t), intent(in) :: flv_in, flv_ref
	integer, intent(in) :: n_first, n_last
	logical, intent(in) :: with_tag
	integer :: flv1, flv2, tmp
	integer :: tag1, tag2
	integer :: i, j, j_min, i_perm
	integer, dimension(:,:), allocatable :: perm_list_tmp
	type(flv_structure_t) :: flv_copy
	logical :: condition
	logical, dimension(:), allocatable :: already_correct
	flv_copy = flv_in
	allocate (perm_list_tmp (factorial (n_last - n_first - 1), 2))
	allocate (already_correct (flv_in%nlegs))
	already_correct = flv_in%flst == flv_ref%flst
	if (with_tag) &
	already_correct = already_correct .and. (flv_in%tag == flv_ref%tag)
	j_min = n_first + 1
	i_perm = 0
	do i = n_first + 1, n_last
	flv1 = flv_ref%flst(i)
	tag1 = flv_ref%tag(i)
	do j = j_min, n_last
	if (already_correct(i) .or. already_correct(j)) cycle
	flv2 = flv_copy%flst(j)
	tag2 = flv_copy%tag(j)
	condition = (flv1 == flv2) .and. i /= j
	if (with_tag) condition = condition .and. (tag1 == tag2)
	if (condition) then
	i_perm = i_perm + 1
	tmp = flv_copy%flst(i)
	flv_copy%flst(i) = flv2
	flv_copy%flst(j) = tmp
	tmp = flv_copy%tag(i)
	flv_copy%tag(i) = tag2
	flv_copy%tag(j) = tmp
	perm_list_tmp (i_perm, 1) = i
	perm_list_tmp (i_perm, 2) = j
	exit
	end if
	end do
	j_min = j_min + 1
	end do
	allocate (perm%perms (i_perm, 2))
	perm%perms = perm_list_tmp (1 : i_perm, :)
	deallocate (perm_list_tmp)
	call flv_copy%final ()
	end subroutine flavor_permutation_init

	@ %def flavor_permutation_init
	@
	<<fks regions: flavor permutation: TBP>>=
	procedure :: write => flavor_permutation_write
	<<fks regions: procedures>>=
	subroutine flavor_permutation_write (perm, unit)
	class(flavor_permutation_t), intent(in) :: perm
	integer, intent(in), optional :: unit
	integer :: i, n, u
	u = given_output_unit (unit); if (u < 0) return
	write (u, "(A)") "Flavor permutation list: "
	n = size (perm%perms, dim = 1)
	if (n > 0) then
	do i = 1, n
	write (u, "(A1,I1,1X,I1,A1)", advance = "no") "[", perm%perms(i,1), perm%perms(i,2), "]"
	if (i < n) write (u, "(A4)", advance = "no") " // "
	end do
	write (u, "(A)") ""
	else
	write (u, "(A)") "[Empty]"
	end if
	end subroutine flavor_permutation_write

	@ %def flavor_permutation_write
	@
	<<fks regions: flavor permutation: TBP>>=
	procedure :: reset => flavor_permutation_final
	procedure :: final => flavor_permutation_final
	<<fks regions: procedures>>=
	subroutine flavor_permutation_final (perm)
	class(flavor_permutation_t), intent(inout) :: perm
	if (allocated (perm%perms)) deallocate (perm%perms)
	end subroutine flavor_permutation_final

	@ %def flavor_permutation_final
	@
	<<fks regions: flavor permutation: TBP>>=
	generic :: apply => apply_permutation, &
	apply_flavor, apply_integer, apply_ftuple
	procedure :: apply_permutation => flavor_permutation_apply_permutation
	procedure :: apply_flavor => flavor_permutation_apply_flavor
	procedure :: apply_integer => flavor_permutation_apply_integer
	procedure :: apply_ftuple => flavor_permutation_apply_ftuple
	<<fks regions: procedures>>=
	elemental function flavor_permutation_apply_permutation (perm_1, perm_2) &
	result (perm_out)
	type(flavor_permutation_t) :: perm_out
	class(flavor_permutation_t), intent(in) :: perm_1
	type(flavor_permutation_t), intent(in) :: perm_2
	integer :: n1, n2
	n1 = size (perm_1%perms, dim = 1)
	n2 = size (perm_2%perms, dim = 1)
	allocate (perm_out%perms (n1 + n2, 2))
	perm_out%perms (1 : n1, :) = perm_1%perms
	perm_out%perms (n1 + 1: n1 + n2, :) = perm_2%perms
	end function flavor_permutation_apply_permutation

	@ %def flavor_permutation_apply_permutation
	@
	<<fks regions: procedures>>=
	elemental function flavor_permutation_apply_flavor (perm, flv_in, invert) &
	result (flv_out)
	type(flv_structure_t) :: flv_out
	class(flavor_permutation_t), intent(in) :: perm
	type(flv_structure_t), intent(in) :: flv_in
	logical, intent(in), optional :: invert
	integer :: i, i1, i2
	integer :: p1, p2, incr
	integer :: flv_tmp, tag_tmp
	logical :: inv
	inv = .false.; if (present(invert)) inv = invert
	flv_out = flv_in
	if (inv) then
	p1 = 1
	p2 = size (perm%perms, dim = 1)
	incr = 1
	else
	p1 = size (perm%perms, dim = 1)
	p2 = 1
	incr = -1
	end if
	do i = p1, p2, incr
	i1 = perm%perms(i,1)
	i2 = perm%perms(i,2)
	flv_tmp = flv_out%flst(i1)
	tag_tmp = flv_out%tag(i1)
	flv_out%flst(i1) = flv_out%flst(i2)
	flv_out%flst(i2) = flv_tmp
	flv_out%tag(i1) = flv_out%tag(i2)
	flv_out%tag(i2) = tag_tmp
	end do
	end function flavor_permutation_apply_flavor

	@ %def flavor_permutation_apply_flavor
	@
	<<fks regions: procedures>>=
	elemental function flavor_permutation_apply_integer (perm, i_in) result (i_out)
	integer :: i_out
	class(flavor_permutation_t), intent(in) :: perm
	integer, intent(in) :: i_in
	integer :: i, i1, i2
	i_out = i_in
	do i = size (perm%perms(:,1)), 1, -1
	i1 = perm%perms(i,1)
	i2 = perm%perms(i,2)
	if (i_out == i1) then
	i_out = i2
	else if (i_out == i2) then
	i_out = i1
	end if
	end do
	end function flavor_permutation_apply_integer

	@ %def flavor_permutation_apply_integer
	@
	<<fks regions: procedures>>=
	elemental function flavor_permutation_apply_ftuple (perm, f_in) result (f_out)
	type(ftuple_t) :: f_out
	class(flavor_permutation_t), intent(in) :: perm
	type(ftuple_t), intent(in) :: f_in
	integer :: i, i1, i2
	f_out = f_in
	do i = size (perm%perms, dim = 1), 1, -1
	i1 = perm%perms(i,1)
	i2 = perm%perms(i,2)
	if (f_out%ireg(1) == i1) then
	f_out%ireg(1) = i2
	else if (f_out%ireg(1) == i2) then
	f_out%ireg(1) = i1
	end if
	if (f_out%ireg(2) == i1) then
	f_out%ireg(2) = i2
	else if (f_out%ireg(2) == i2) then
	f_out%ireg(2) = i1
	end if
	end do
	if (f_out%ireg(1) > f_out%ireg(2)) f_out%ireg = f_out%ireg([2,1])
	end function flavor_permutation_apply_ftuple

	@ %def flavor_permutation_apply_ftuple
	@
	<<fks regions: flavor permutation: TBP>>=
	procedure :: test => flavor_permutation_test
	<<fks regions: procedures>>=
	function flavor_permutation_test (perm, flv1, flv2, with_tag) result (valid)
	logical :: valid
	class(flavor_permutation_t), intent(in) :: perm
	type(flv_structure_t), intent(in) :: flv1, flv2
	logical, intent(in) :: with_tag
	type(flv_structure_t) :: flv_test
	flv_test = perm%apply (flv2, invert = .true.)
	valid = all (flv_test%flst == flv1%flst)
	if (with_tag) valid = valid .and. all (flv_test%tag == flv1%tag)
	call flv_test%final ()
	end function flavor_permutation_test

	@ %def flavor_permutation_test
	@ A singular region is a partition of phase space which is associated with
	an individual emitter and, if relevant, resonance. It is associated with
	an $\alpha_r$- and resonance-index, with a real flavor structure and
	its underlying Born flavor structure. To compute the FKS weights, it is
	relevant to know all the other particle indices which can result in a
	divergenent phase space configuration, which are collected in the
	[[ftuples]]-array.

	Some singular regions might behave physically identical. E.g. a real
	-flavor structure associated with three-jet production is $[11,-11,0,2-2,0]$.
	+flavor structure associated with three-jet production is $[11,-11,2,-2,21,21]$.
	Here, there are two possible [[ftuples]] which contribute to the same
	-$u \rightarrow u g$ splitting, namely $(3,4)$ and $(4,6)$. The resulting
	+$u \rightarrow u g$ splitting, namely $(3,5)$ and $(3,6)$. The resulting
	singular regions will be identical. To avoid this, one singular region
	is associated with the multiplicity factor [[mult]]. When computing the
	subtraction terms for each singular region, the result is then simply
	multiplied by this factor.\\
	The [[double_fsr]]-flag indicates whether the singular region should
	also be supplied by a symmetry factor, explained below.
	<<fks regions: public>>=
	public :: singular_region_t
	<<fks regions: types>>=
	type :: singular_region_t
	integer :: alr
	integer :: i_res
	type(flv_structure_t) :: flst_real
	type(flv_structure_t) :: flst_uborn
	integer :: mult
	integer :: emitter
	integer :: nregions
	integer :: real_index
	type(ftuple_t), dimension(:), allocatable :: ftuples
	integer :: uborn_index
	logical :: double_fsr = .false.
	logical :: soft_divergence = .false.
	logical :: coll_divergence = .false.
	type(string_t) :: nlo_correction_type
	integer, dimension(:), allocatable :: i_reg_to_i_con
	logical :: pseudo_isr = .false.
	logical :: sc_required = .false.
	contains
	<<fks regions: singular region: TBP>>
	end type singular_region_t

	@ %def singular_region_t
	@
	<<fks regions: singular region: TBP>>=
	procedure :: init => singular_region_init
	<<fks regions: procedures>>=
	subroutine singular_region_init (sregion, alr, mult, i_res, &
	flst_real, flst_uborn, flv_born, emitter, ftuples, equivalences, &
	nlo_correction_type)
	class(singular_region_t), intent(out) :: sregion
	integer, intent(in) :: alr, mult, i_res
	type(flv_structure_t), intent(in) :: flst_real
	type(flv_structure_t), intent(in) :: flst_uborn
	type(flv_structure_t), dimension(:), intent(in) :: flv_born
	integer, intent(in) :: emitter
	type(ftuple_t), intent(inout), dimension(:) :: ftuples
	logical, intent(inout), dimension(:,:) :: equivalences
	type(string_t), intent(in) :: nlo_correction_type
	integer :: i
	call debug_input_values ()
	sregion%alr = alr
	sregion%mult = mult
	sregion%i_res = i_res
	sregion%flst_real = flst_real
	sregion%flst_uborn = flst_uborn
	sregion%emitter = emitter
	sregion%nlo_correction_type = nlo_correction_type
	sregion%nregions = size (ftuples)
	allocate (sregion%ftuples (sregion%nregions))
	sregion%ftuples = ftuples
	do i = 1, size(flv_born)
	if (flv_born (i) .equiv. sregion%flst_uborn) then
	sregion%uborn_index = i
	exit
	end if
	end do
	sregion%sc_required = any (sregion%flst_uborn%flst == GLUON) .or. &
	any (sregion%flst_uborn%flst == PHOTON)
	contains
	subroutine debug_input_values()
	if (debug_on) call msg_debug2 (D_SUBTRACTION, "singular_region_init")
	if (debug2_active (D_SUBTRACTION)) then
	print *, 'alr = ', alr
	print *, 'mult = ', mult
	print *, 'i_res = ', i_res
	call flst_real%write ()
	call flst_uborn%write ()
	print *, 'emitter = ', emitter
	call print_equivalence_matrix (ftuples, equivalences)
	end if
	end subroutine debug_input_values
	end subroutine singular_region_init

	@ %def singular_region_init
	<<fks regions: singular region: TBP>>=
	procedure :: write => singular_region_write
	<<fks regions: procedures>>=
	subroutine singular_region_write (sregion, unit, maxnregions)
	class(singular_region_t), intent(in) :: sregion
	integer, intent(in), optional :: unit
	integer, intent(in), optional :: maxnregions
	character(len=7), parameter :: flst_format = "(I3,A1)"
	character(len=7), parameter :: ireg_space_format = "(7X,A1)"
	integer :: nreal, nborn, i, u, mr
	integer :: nleft, nright, nreg, nreg_diff
	u = given_output_unit (unit); if (u < 0) return
	mr = sregion%nregions; if (present (maxnregions)) mr = maxnregions
	nreal = size (sregion%flst_real%flst)
	nborn = size (sregion%flst_uborn%flst)
	call write_vline (u)
	write (u, '(A1)', advance = 'no') '['
	do i = 1, nreal - 1
	write (u, flst_format, advance = 'no') sregion%flst_real%flst(i), ','
	end do
	write (u, flst_format, advance = 'no') sregion%flst_real%flst(nreal), ']'
	call write_vline (u)
	write (u, '(I6)', advance = 'no') sregion%real_index
	call write_vline (u)
	write (u, '(I3)', advance = 'no') sregion%emitter
	call write_vline (u)
	write (u, '(I3)', advance = 'no') sregion%mult
	call write_vline (u)
	write (u, '(I4)', advance = 'no') sregion%nregions
	call write_vline (u)
	if (sregion%i_res > 0) then
	write (u, '(I3)', advance = 'no') sregion%i_res
	call write_vline (u)
	end if
	nreg = sregion%nregions
	if (nreg == mr) then
	nleft = 0
	nright = 0
	else
	nreg_diff = mr - nreg
	nleft = nreg_diff / 2
	if (mod(nreg_diff , 2) == 0) then
	nright = nleft
	else
	nright = nleft + 1
	end if
	end if
	if (nleft > 0) then
	do i = 1, nleft
	write(u, ireg_space_format, advance='no') ' '
	end do
	end if
	write (u, '(A)', advance = 'no') char (ftuple_string (sregion%ftuples, .false.))
	call write_vline (u)
	write (u,'(A1)',advance = 'no') '['
	do i = 1, nborn - 1
	write(u, flst_format, advance = 'no') sregion%flst_uborn%flst(i), ','
	end do
	write (u, flst_format, advance = 'no') sregion%flst_uborn%flst(nborn), ']'
	call write_vline (u)
	write (u, '(I7)', advance = 'no') sregion%uborn_index
	write (u, '(A)')
	end subroutine singular_region_write

	@ %def singular_region_write
	@
	<<fks regions: singular region: TBP>>=
	procedure :: write_latex => singular_region_write_latex
	<<fks regions: procedures>>=
	subroutine singular_region_write_latex (region, unit)
	class(singular_region_t), intent(in) :: region
	integer, intent(in), optional :: unit
	integer :: u
	u = given_output_unit (unit); if (u < 0) return
	write (u, "(I2,A3,A,A3,I2,A3,I1,A3,I1,A3,A,A3,I2,A3,A,A3)") &
	region%alr, " & ", char (region%flst_real%to_string ()), &
	" & ", region%real_index, " & ", region%emitter, " & ", &
	region%mult, " & ", char (ftuple_string (region%ftuples, .true.)), &
	" & ", region%uborn_index, " & ", char (region%flst_uborn%to_string ()), &
	" \\"
	end subroutine singular_region_write_latex

	@ %def singular_region_write_latex
	@ In case of a $g \rightarrow gg$ splitting, the factor
	\begin{equation*}
	\frac{2E_{\rm{em}}}{E_{\rm{em}} + E_{\rm{rad}}}
	\end{equation*}
	is multiplied to the real matrix element. This way, the symmetry of the splitting is used
	and only one singular region has to be taken into account. However, the factor ensures that
	there is only a soft singularity if the radiated parton becomes soft.
	<<fks regions: singular region: TBP>>=
	procedure :: set_splitting_info => singular_region_set_splitting_info
	<<fks regions: procedures>>=
	subroutine singular_region_set_splitting_info (region, n_in)
	class(singular_region_t), intent(inout) :: region
	integer, intent(in) :: n_in
	integer :: i1, i2
	integer :: reg
	region%double_fsr = .false.
	region%soft_divergence = .false.
	associate (ftuple => region%ftuples)
	do reg = 1, region%nregions
	call ftuple(reg)%get (i1, i2)
	if (i1 /= region%emitter .or. i2 /= region%flst_real%nlegs) then
	cycle
	else
	if (ftuple(reg)%splitting_type == V_TO_VV .or. &
	ftuple(reg)%splitting_type == F_TO_FV ) then
	region%soft_divergence = .true.
	end if

	if (i1 == 0) then
	region%coll_divergence = .not. all (region%flst_real%massive(1:n_in))
	else
	region%coll_divergence = .not. region%flst_real%massive(i1)
	end if

	if (ftuple(reg)%splitting_type == V_TO_VV) then
	if (all (ftuple(reg)%ireg > n_in)) &
	region%double_fsr = all (is_gluon (region%flst_real%flst(ftuple(reg)%ireg)))
	exit
	else if (ftuple(reg)%splitting_type == UNDEFINED_SPLITTING) then
	call msg_fatal ("All splittings should be defined!")
	end if
	end if
	end do
	if (.not. region%soft_divergence .and. .not. region%coll_divergence) &
	call msg_fatal ("Singular region defined without divergence!")
	end associate
	end subroutine singular_region_set_splitting_info

	@ %def singular_region_set_splitting_info
	@
	<<fks regions: singular region: TBP>>=
	procedure :: double_fsr_factor => singular_region_double_fsr_factor
	<<fks regions: procedures>>=
	function singular_region_double_fsr_factor (region, p) result (val)
	class(singular_region_t), intent(in) :: region
	type(vector4_t), intent(in), dimension(:) :: p
	real(default) :: val
	real(default) :: E_rad, E_em
	if (region%double_fsr) then
	E_em = energy (p(region%emitter))
	E_rad = energy (p(region%flst_real%nlegs))
	val = two * E_em / (E_em + E_rad)
	else
	val = one
	end if
	end function singular_region_double_fsr_factor

	@ %def singular_region_double_fsr_factor
	@
	<<fks regions: singular region: TBP>>=
	procedure :: has_soft_divergence => singular_region_has_soft_divergence
	<<fks regions: procedures>>=
	function singular_region_has_soft_divergence (region) result (div)
	logical :: div
	class(singular_region_t), intent(in) :: region
	div = region%soft_divergence
	end function singular_region_has_soft_divergence

	@ %def singular_region_has_soft_divergence
	@
	<<fks regions: singular region: TBP>>=
	procedure :: has_collinear_divergence => &
	singular_region_has_collinear_divergence
	<<fks regions: procedures>>=
	function singular_region_has_collinear_divergence (region) result (div)
	logical :: div
	class(singular_region_t), intent(in) :: region
	div = region%coll_divergence
	end function singular_region_has_collinear_divergence

	@ %def singular_region_has_collinear_divergence
	@
	<<fks regions: singular region: TBP>>=
	procedure :: has_identical_ftuples => singular_region_has_identical_ftuples
	<<fks regions: procedures>>=
	elemental function singular_region_has_identical_ftuples (sregion) result (value)
	logical :: value
	class(singular_region_t), intent(in) :: sregion
	integer :: alr
	value = .false.
	do alr = 1, sregion%nregions
	value = value .or. (count (sregion%ftuples(alr) == sregion%ftuples) > 1)
	end do
	end function singular_region_has_identical_ftuples

	@ %def singular_region_has_identical_ftuples
	@
	<<fks regions: interfaces>>=
	interface assignment(=)
	module procedure singular_region_assign
	end interface

	<<fks regions: procedures>>=
	subroutine singular_region_assign (reg_out, reg_in)
	type(singular_region_t), intent(out) :: reg_out
	type(singular_region_t), intent(in) :: reg_in
	reg_out%alr = reg_in%alr
	reg_out%i_res = reg_in%i_res
	reg_out%flst_real = reg_in%flst_real
	reg_out%flst_uborn = reg_in%flst_uborn
	reg_out%mult = reg_in%mult
	reg_out%emitter = reg_in%emitter
	reg_out%nregions = reg_in%nregions
	reg_out%real_index = reg_in%real_index
	reg_out%uborn_index = reg_in%uborn_index
	reg_out%double_fsr = reg_in%double_fsr
	reg_out%soft_divergence = reg_in%soft_divergence
	reg_out%coll_divergence = reg_in%coll_divergence
	reg_out%nlo_correction_type = reg_in%nlo_correction_type
	if (allocated (reg_in%ftuples)) then
	allocate (reg_out%ftuples (size (reg_in%ftuples)))
	reg_out%ftuples = reg_in%ftuples
	else
	call msg_bug ("singular_region_assign: Trying to copy a singular region without allocated ftuples!")
	end if
	end subroutine singular_region_assign

	@ %def singular_region_assign
	@
	<<fks regions: types>>=
	type :: resonance_mapping_t
	type(resonance_history_t), dimension(:), allocatable :: res_histories
	integer, dimension(:), allocatable :: alr_to_i_res
	integer, dimension(:,:), allocatable :: i_res_to_alr
	type(vector4_t), dimension(:), allocatable :: p_res
	contains
	<<fks regions: resonance mapping: TBP>>
	end type resonance_mapping_t

	@ %def resonance_mapping_t
	@ Testing: Init resonance mapping for $\mu \mu b b$ final state.
	<<fks regions: resonance mapping: TBP>>=
	procedure :: init => resonance_mapping_init
	<<fks regions: procedures>>=
	subroutine resonance_mapping_init (res_map, res_hist)
	class(resonance_mapping_t), intent(inout) :: res_map
	type(resonance_history_t), intent(in), dimension(:) :: res_hist
	integer :: n_hist, i_hist1, i_hist2, n_contributors
	n_contributors = 0
	n_hist = size (res_hist)
	allocate (res_map%res_histories (n_hist))
	do i_hist1 = 1, n_hist
	if (i_hist1 + 1 <= n_hist) then
	do i_hist2 = i_hist1 + 1, n_hist
	if (.not. (res_hist(i_hist1) .contains. res_hist(i_hist2))) &
	n_contributors = n_contributors + res_hist(i_hist2)%n_resonances
	end do
	else
	n_contributors = n_contributors + res_hist(i_hist1)%n_resonances
	end if
	end do
	allocate (res_map%p_res (n_contributors))
	res_map%res_histories = res_hist
	res_map%p_res = vector4_null
	end subroutine resonance_mapping_init

	@ %def resonance_mapping_init
	@
	<<fks regions: resonance mapping: TBP>>=
	procedure :: set_alr_to_i_res => resonance_mapping_set_alr_to_i_res
	<<fks regions: procedures>>=
	subroutine resonance_mapping_set_alr_to_i_res (res_map, regions, alr_new_to_old)
	class(resonance_mapping_t), intent(inout) :: res_map
	type(singular_region_t), intent(in), dimension(:) :: regions
	integer, intent(out), dimension(:), allocatable :: alr_new_to_old
	integer :: alr, i_res
	integer :: alr_new, n_alr_res
	integer :: k
	if (debug_on) call msg_debug (D_SUBTRACTION, "resonance_mapping_set_alr_to_i_res")
	n_alr_res = 0
	do alr = 1, size (regions)
	do i_res = 1, size (res_map%res_histories)
	if (res_map%res_histories(i_res)%contains_leg (regions(alr)%emitter)) &
	n_alr_res = n_alr_res + 1
	end do
	end do

	allocate (res_map%alr_to_i_res (n_alr_res))
	allocate (res_map%i_res_to_alr (size (res_map%res_histories), 10))
	res_map%i_res_to_alr = 0
	allocate (alr_new_to_old (n_alr_res))
	alr_new = 1
	do alr = 1, size (regions)
	do i_res = 1, size (res_map%res_histories)
	if (res_map%res_histories(i_res)%contains_leg (regions(alr)%emitter)) then
	res_map%alr_to_i_res (alr_new) = i_res
	alr_new_to_old (alr_new) = alr
	alr_new = alr_new + 1
	end if
	end do
	end do

	do i_res = 1, size (res_map%res_histories)
	k = 1
	do alr = 1, size (regions)
	if (res_map%res_histories(i_res)%contains_leg (regions(alr)%emitter)) then
	res_map%i_res_to_alr (i_res, k) = alr
	k = k + 1
	end if
	end do
	end do
	if (debug_active (D_SUBTRACTION)) then
	print *, 'i_res_to_alr:'
	do i_res = 1, size(res_map%i_res_to_alr, dim=1)
	print *, res_map%i_res_to_alr (i_res, :)
	end do
	print *, 'alr_new_to_old:', alr_new_to_old
	end if
	end subroutine resonance_mapping_set_alr_to_i_res

	@ %def resonance_mapping_set_alr_to_i_res
	@
	<<fks regions: resonance mapping: TBP>>=
	procedure :: get_resonance_history => resonance_mapping_get_resonance_history
	<<fks regions: procedures>>=
	function resonance_mapping_get_resonance_history (res_map, alr) result (res_hist)
	type(resonance_history_t) :: res_hist
	class(resonance_mapping_t), intent(in) :: res_map
	integer, intent(in) :: alr
	res_hist = res_map%res_histories(res_map%alr_to_i_res (alr))
	end function resonance_mapping_get_resonance_history

	@ %def resonance_mapping_get_resonance_history
	@
	<<fks regions: resonance mapping: TBP>>=
	procedure :: write => resonance_mapping_write
	<<fks regions: procedures>>=
	subroutine resonance_mapping_write (res_map)
	class(resonance_mapping_t), intent(in) :: res_map
	integer :: i_res
	do i_res = 1, size (res_map%res_histories)
	call res_map%res_histories(i_res)%write ()
	end do
	end subroutine resonance_mapping_write

	@ %def resonance_mapping_write
	@
	<<fks regions: resonance mapping: TBP>>=
	procedure :: get_resonance_value => resonance_mapping_get_resonance_value
	<<fks regions: procedures>>=
	function resonance_mapping_get_resonance_value (res_map, i_res, p, i_gluon) result (p_map)
	real(default) :: p_map
	class(resonance_mapping_t), intent(in) :: res_map
	integer, intent(in) :: i_res
	type(vector4_t), intent(in), dimension(:) :: p
	integer, intent(in), optional :: i_gluon
	p_map = res_map%res_histories(i_res)%mapping (p, i_gluon)
	end function resonance_mapping_get_resonance_value

	@ %def resonance_mapping_get_resonance_value
	@
	<<fks regions: resonance mapping: TBP>>=
	procedure :: get_resonance_all => resonance_mapping_get_resonance_all
	<<fks regions: procedures>>=
	function resonance_mapping_get_resonance_all (res_map, alr, p, i_gluon) result (p_map)
	real(default) :: p_map
	class(resonance_mapping_t), intent(in) :: res_map
	integer, intent(in) :: alr
	type(vector4_t), intent(in), dimension(:) :: p
	integer, intent(in), optional :: i_gluon
	integer :: i_res
	p_map = zero
	do i_res = 1, size (res_map%res_histories)
	associate (res => res_map%res_histories(i_res))
	if (any (res_map%i_res_to_alr (i_res, :) == alr)) &
	p_map = p_map + res%mapping (p, i_gluon)
	end associate
	end do
	end function resonance_mapping_get_resonance_all

	@ %def resonance_mapping_get_resonance_all
	@
	<<fks regions: resonance mapping: TBP>>=
	procedure :: get_weight => resonance_mapping_get_weight
	<<fks regions: procedures>>=
	function resonance_mapping_get_weight (res_map, alr, p) result (pfr)
	real(default) :: pfr
	class(resonance_mapping_t), intent(in) :: res_map
	integer, intent(in) :: alr
	type(vector4_t), intent(in), dimension(:) :: p
	real(default) :: sumpfr
	integer :: i_res
	sumpfr = zero
	do i_res = 1, size (res_map%res_histories)
	sumpfr = sumpfr + res_map%get_resonance_value (i_res, p)
	end do
	pfr = res_map%get_resonance_value (res_map%alr_to_i_res (alr), p) / sumpfr
	end function resonance_mapping_get_weight

	@ %def resonance_mapping_get_weight
	@
	<<fks regions: resonance mapping: TBP>>=
	procedure :: get_resonance_alr => resonance_mapping_get_resonance_alr
	<<fks regions: procedures>>=
	function resonance_mapping_get_resonance_alr (res_map, alr, p, i_gluon) result (p_map)
	real(default) :: p_map
	class(resonance_mapping_t), intent(in) :: res_map
	integer, intent(in) :: alr
	type(vector4_t), intent(in), dimension(:) :: p
	integer, intent(in), optional :: i_gluon
	integer :: i_res
	i_res = res_map%alr_to_i_res (alr)
	p_map = res_map%res_histories(i_res)%mapping (p, i_gluon)
	end function resonance_mapping_get_resonance_alr

	@ %def resonance_mapping_get_resonance_alr
	@
	<<fks regions: interfaces>>=
	interface assignment(=)
	module procedure resonance_mapping_assign
	end interface

	<<fks regions: procedures>>=
	subroutine resonance_mapping_assign (res_map_out, res_map_in)
	type(resonance_mapping_t), intent(out) :: res_map_out
	type(resonance_mapping_t), intent(in) :: res_map_in
	if (allocated (res_map_in%res_histories)) then
	allocate (res_map_out%res_histories (size (res_map_in%res_histories)))
	res_map_out%res_histories = res_map_in%res_histories
	end if
	if (allocated (res_map_in%alr_to_i_res)) then
	allocate (res_map_out%alr_to_i_res (size (res_map_in%alr_to_i_res)))
	res_map_out%alr_to_i_res = res_map_in%alr_to_i_res
	end if
	if (allocated (res_map_in%i_res_to_alr)) then
	allocate (res_map_out%i_res_to_alr &
	(size (res_map_in%i_res_to_alr, 1), size (res_map_in%i_res_to_alr, 2)))
	res_map_out%i_res_to_alr = res_map_in%i_res_to_alr
	end if
	if (allocated (res_map_in%p_res)) then
	allocate (res_map_out%p_res (size (res_map_in%p_res)))
	res_map_out%p_res = res_map_in%p_res
	end if
	end subroutine resonance_mapping_assign

	@ %def resonance_mapping_assign
	@ Every FKS mapping should store the $\sum_\alpha d_{ij}^{-1}$ and
	$\sum_\alpha d_{ij,\rm{soft}}^{-1}$.
	Also we keep the option open to use a normlization factor, which ensures
	$\sum_\alpha S_\alpha = 1$.
	<<fks regions: types>>=
	type, abstract :: fks_mapping_t
	real(default) :: sumdij
	real(default) :: sumdij_soft
	logical :: pseudo_isr = .false.
	real(default) :: normalization_factor = one
	contains
	<<fks regions: fks mapping: TBP>>
	end type fks_mapping_t

	@ %def fks_mapping_t
	@
	<<fks regions: public>>=
	public :: fks_mapping_default_t
	<<fks regions: types>>=
	type, extends (fks_mapping_t) :: fks_mapping_default_t
	real(default) :: exp_1, exp_2
	integer :: n_in
	contains
	<<fks regions: fks mapping default: TBP>>
	end type fks_mapping_default_t

	@ %def fks_mapping_default_t
	@
	<<fks regions: public>>=
	public :: fks_mapping_resonances_t
	<<fks regions: types>>=
	type, extends (fks_mapping_t) :: fks_mapping_resonances_t
	real(default) :: exp_1, exp_2
	type(resonance_mapping_t) :: res_map
	integer :: i_con = 0
	contains
	<<fks regions: fks mapping resonances: TBP>>
	end type fks_mapping_resonances_t

	@ %def fks_mapping_resonances_t
	@
	<<fks regions: public>>=
	public :: operator(.equiv.)
	public :: operator(.equivtag.)
	<<fks regions: interfaces>>=
	interface operator(.equiv.)
	module procedure flv_structure_equivalent_no_tag
	end interface

	interface operator(.equivtag.)
	module procedure flv_structure_equivalent_with_tag
	end interface

	interface assignment(=)
	module procedure flv_structure_assign_flv
	module procedure flv_structure_assign_integer
	end interface

	@ %def operator_equiv
	@
	<<fks regions: public>>=
	public :: region_data_t
	<<fks regions: types>>=
	type :: region_data_t
	type(singular_region_t), dimension(:), allocatable :: regions
	type(flv_structure_t), dimension(:), allocatable :: flv_born
	type(flv_structure_t), dimension(:), allocatable :: flv_real
	integer, dimension(:), allocatable :: emitters
	integer :: n_regions = 0
	integer :: n_emitters = 0
	integer :: n_flv_born = 0
	integer :: n_flv_real = 0
	integer :: n_in = 0
	integer :: n_legs_born = 0
	integer :: n_legs_real = 0
	integer :: n_phs = 0
	class(fks_mapping_t), allocatable :: fks_mapping
	integer, dimension(:), allocatable :: resonances
	type(resonance_contributors_t), dimension(:), allocatable :: alr_contributors
	integer, dimension(:), allocatable :: alr_to_i_contributor
	integer, dimension(:), allocatable :: i_phs_to_i_con
	contains
	<<fks regions: reg data: TBP>>
	end type region_data_t

	@ %def region_data_t
	@
	<<fks regions: reg data: TBP>>=
	procedure :: allocate_fks_mappings => region_data_allocate_fks_mappings
	<<fks regions: procedures>>=
	subroutine region_data_allocate_fks_mappings (reg_data, mapping_type)
	class(region_data_t), intent(inout) :: reg_data
	integer, intent(in) :: mapping_type

	select case (mapping_type)
	case (FKS_DEFAULT)
	allocate (fks_mapping_default_t :: reg_data%fks_mapping)
	case (FKS_RESONANCES)
	allocate (fks_mapping_resonances_t :: reg_data%fks_mapping)
	case default
	call msg_fatal ("Init region_data: FKS mapping not implemented!")
	end select
	end subroutine region_data_allocate_fks_mappings

	@ %def region_data_allocate_fks_mappings
	@
	<<fks regions: reg data: TBP>>=
	procedure :: init => region_data_init
	<<fks regions: procedures>>=
	subroutine region_data_init (reg_data, n_in, model, flavor_born, &
	flavor_real, nlo_correction_type)
	class(region_data_t), intent(inout) :: reg_data
	integer, intent(in) :: n_in
	type(model_t), intent(in) :: model
	integer, intent(in), dimension(:,:) :: flavor_born, flavor_real
	type(ftuple_list_t), dimension(:), allocatable :: ftuples
	integer, dimension(:), allocatable :: emitter
	type(flv_structure_t), dimension(:), allocatable :: flst_alr
	integer :: i
	integer :: n_flv_real_before_check
	type(string_t), intent(in) :: nlo_correction_type
	reg_data%n_in = n_in
	reg_data%n_flv_born = size (flavor_born, dim = 2)
	reg_data%n_legs_born = size (flavor_born, dim = 1)
	reg_data%n_legs_real = reg_data%n_legs_born + 1
	n_flv_real_before_check = size (flavor_real, dim = 2)
	allocate (reg_data%flv_born (reg_data%n_flv_born))
	allocate (reg_data%flv_real (n_flv_real_before_check))
	do i = 1, reg_data%n_flv_born
	call reg_data%flv_born(i)%init (flavor_born (:, i), n_in)
	end do
	do i = 1, n_flv_real_before_check
	call reg_data%flv_real(i)%init (flavor_real (:, i), n_in)
	end do

	call reg_data%find_regions (model, ftuples, emitter, flst_alr)
	call reg_data%init_singular_regions (ftuples, emitter, flst_alr, nlo_correction_type)
	reg_data%n_flv_real = maxval (reg_data%regions%real_index)
	call reg_data%find_emitters ()
	call reg_data%set_mass_color_and_charge (model)
	call reg_data%set_splitting_info ()

	end subroutine region_data_init

	@ %def region_data_init
	@
	<<fks regions: reg data: TBP>>=
	procedure :: init_resonance_information => region_data_init_resonance_information
	<<fks regions: procedures>>=
	subroutine region_data_init_resonance_information (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	call reg_data%enlarge_singular_regions_with_resonances ()
	call reg_data%find_resonances ()
	end subroutine region_data_init_resonance_information

	@ %def region_data_init_resonance_information
	@
	<<fks regions: reg data: TBP>>=
	procedure :: set_resonance_mappings => region_data_set_resonance_mappings
	<<fks regions: procedures>>=
	subroutine region_data_set_resonance_mappings (reg_data, resonance_histories)
	class(region_data_t), intent(inout) :: reg_data
	type(resonance_history_t), intent(in), dimension(:) :: resonance_histories
	select type (map => reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	call map%res_map%init (resonance_histories)
	end select
	end subroutine region_data_set_resonance_mappings

	@ %def region_data_set_resonance_mappings
	@
	<<fks regions: reg data: TBP>>=
	procedure :: setup_fks_mappings => region_data_setup_fks_mappings
	<<fks regions: procedures>>=
	subroutine region_data_setup_fks_mappings (reg_data, template, n_in)
	class(region_data_t), intent(inout) :: reg_data
	type(fks_template_t), intent(in) :: template
	integer, intent(in) :: n_in
	call reg_data%allocate_fks_mappings (template%mapping_type)
	select type (map => reg_data%fks_mapping)
	type is (fks_mapping_default_t)
	call map%set_parameter (n_in, template%fks_dij_exp1, template%fks_dij_exp2)
	end select
	end subroutine region_data_setup_fks_mappings

	@ %def region_data_setup_fks_mappings
	@ So far, we have only created singular regions for a non-resonant case. When
	resonance mappings are required, we have more singular regions, since they
	must now be identified by their emitter-resonance pair index, where the emitter
	must be compatible with the resonance.
	<<fks regions: reg data: TBP>>=
	procedure :: enlarge_singular_regions_with_resonances &
	=> region_data_enlarge_singular_regions_with_resonances
	<<fks regions: procedures>>=
	subroutine region_data_enlarge_singular_regions_with_resonances (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	integer :: alr
	integer, dimension(:), allocatable :: alr_new_to_old
	integer :: n_alr_new
	type(singular_region_t), dimension(:), allocatable :: save_regions
	if (debug_on) call msg_debug (D_SUBTRACTION, "region_data_enlarge_singular_regions_with_resonances")
	call debug_input_values ()
	select type (fks_mapping => reg_data%fks_mapping)
	type is (fks_mapping_default_t)
	return
	type is (fks_mapping_resonances_t)
	allocate (save_regions (reg_data%n_regions))
	do alr = 1, reg_data%n_regions
	save_regions(alr) = reg_data%regions(alr)
	end do

	associate (res_map => fks_mapping%res_map)
	call res_map%set_alr_to_i_res (reg_data%regions, alr_new_to_old)
	deallocate (reg_data%regions)
	n_alr_new = size (alr_new_to_old)
	reg_data%n_regions = n_alr_new
	allocate (reg_data%regions (n_alr_new))
	do alr = 1, n_alr_new
	reg_data%regions(alr) = save_regions(alr_new_to_old (alr))
	reg_data%regions(alr)%i_res = res_map%alr_to_i_res (alr)
	end do
	end associate
	end select

	contains

	subroutine debug_input_values ()
	if (debug2_active (D_SUBTRACTION)) then
	call reg_data%write ()
	end if
	end subroutine debug_input_values

	end subroutine region_data_enlarge_singular_regions_with_resonances

	@ %def region_data_enlarge_singular_regions_with_resonances
	@
	<<fks regions: reg data: TBP>>=
	procedure :: set_isr_pseudo_regions => region_data_set_isr_pseudo_regions
	<<fks regions: procedures>>=
	subroutine region_data_set_isr_pseudo_regions (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	integer :: alr
	integer :: n_alr_new
	!!! Subroutine called for threshold factorization ->
	!!! Size of singular regions at this point is fixed
	type(singular_region_t), dimension(2) :: save_regions
	integer, dimension(4) :: alr_new_to_old
	do alr = 1, reg_data%n_regions
	save_regions(alr) = reg_data%regions(alr)
	end do
	n_alr_new = reg_data%n_regions * 2
	alr_new_to_old = [1, 1, 2, 2]
	deallocate (reg_data%regions)
	allocate (reg_data%regions (n_alr_new))
	reg_data%n_regions = n_alr_new
	do alr = 1, n_alr_new
	reg_data%regions(alr) = save_regions(alr_new_to_old (alr))
	call add_pseudo_emitters (reg_data%regions(alr))
	if (mod (alr, 2) == 0) reg_data%regions(alr)%pseudo_isr = .true.
	end do
	contains
	subroutine add_pseudo_emitters (sregion)
	type(singular_region_t), intent(inout) :: sregion
	type(ftuple_t), dimension(2) :: ftuples_save
	integer :: alr
	do alr = 1, 2
	ftuples_save(alr) = sregion%ftuples(alr)
	end do
	deallocate (sregion%ftuples)
	sregion%nregions = sregion%nregions * 2
	allocate (sregion%ftuples (sregion%nregions))
	do alr = 1, sregion%nregions
	sregion%ftuples(alr) = ftuples_save (alr_new_to_old(alr))
	if (mod (alr, 2) == 0) sregion%ftuples(alr)%pseudo_isr = .true.
	end do
	end subroutine add_pseudo_emitters
	end subroutine region_data_set_isr_pseudo_regions

	@ %def region_data_set_isr_pseudo_regions
	@ This subroutine splits up the ftuple-list of the singular regions into interference-free
	lists, i.e. lists which only contain the same emitter. This is relevant for factorized
	NLO calculations. In the current implementation, it is hand-tailored for the threshold
	computation, but should be generalized further in the future.
	<<fks regions: reg data: TBP>>=
	procedure :: split_up_interference_regions_for_threshold => &
	region_data_split_up_interference_regions_for_threshold
	<<fks regions: procedures>>=
	subroutine region_data_split_up_interference_regions_for_threshold (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	integer :: alr, i_ftuple
	integer :: current_emitter
	integer :: i1, i2
	integer :: n_new_reg
	type(ftuple_t), dimension(2) :: ftuples
	do alr = 1, reg_data%n_regions
	associate (region => reg_data%regions(alr))
	current_emitter = region%emitter
	n_new_reg = 0
	do i_ftuple = 1, region%nregions
	call region%ftuples(i_ftuple)%get (i1, i2)
	if (i1 == current_emitter) then
	n_new_reg = n_new_reg + 1
	ftuples(n_new_reg) = region%ftuples(i_ftuple)
	end if
	end do
	deallocate (region%ftuples)
	allocate (region%ftuples(n_new_reg))
	region%ftuples = ftuples (1 : n_new_reg)
	region%nregions = n_new_reg
	end associate
	end do
	reg_data%fks_mapping%normalization_factor = 0.5_default
	end subroutine region_data_split_up_interference_regions_for_threshold

	@ %def region_data_split_up_interference_regions_for_threshold
	@
	<<fks regions: reg data: TBP>>=
	procedure :: set_mass_color_and_charge => region_data_set_mass_color_and_charge
	<<fks regions: procedures>>=
	subroutine region_data_set_mass_color_and_charge (reg_data, model)
	class(region_data_t), intent(inout) :: reg_data
	type(model_t), intent(in) :: model
	integer :: i
	do i = 1, reg_data%n_regions
	associate (region => reg_data%regions(i))
	call region%flst_uborn%init_mass_color_and_charge (model)
	call region%flst_real%init_mass_color_and_charge (model)
	end associate
	end do
	do i = 1, reg_data%n_flv_born
	call reg_data%flv_born(i)%init_mass_color_and_charge (model)
	end do
	do i = 1, size (reg_data%flv_real)
	call reg_data%flv_real(i)%init_mass_color_and_charge (model)
	end do
	end subroutine region_data_set_mass_color_and_charge

	@ %def region_data_set_mass_color_and_charge
	@
	<<fks regions: reg data: TBP>>=
	procedure :: uses_resonances => region_data_uses_resonances
	<<fks regions: procedures>>=
	function region_data_uses_resonances (reg_data) result (val)
	logical :: val
	class(region_data_t), intent(in) :: reg_data
	select type (fks_mapping => reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	val = .true.
	class default
	val = .false.
	end select
	end function region_data_uses_resonances

	@ %def region_data_uses_resonances
	@ Creates a list containing the emitter of each singular region.
	<<fks regions: reg data: TBP>>=
	procedure :: get_emitter_list => region_data_get_emitter_list
	<<fks regions: procedures>>=
	pure function region_data_get_emitter_list (reg_data) result (emitters)
	class(region_data_t), intent(in) :: reg_data
	integer, dimension(:), allocatable :: emitters
	integer :: i
	allocate (emitters (reg_data%n_regions))
	do i = 1, reg_data%n_regions
	emitters(i) = reg_data%regions(i)%emitter
	end do
	end function region_data_get_emitter_list

	@ %def region_data_get_emitter_list
	@ Returns the number of emitters not equal to 0 to avoid double counting
	between emitters 0, 1 and 2.
	<<fks regions: reg data: TBP>>=
	procedure :: get_n_emitters_sc => region_data_get_n_emitters_sc
	<<fks regions: procedures>>=
	function region_data_get_n_emitters_sc (reg_data) result (n_emitters_sc)
	class(region_data_t), intent(in) :: reg_data
	integer :: n_emitters_sc
	n_emitters_sc = count (reg_data%emitters /= 0)
	end function region_data_get_n_emitters_sc

	@ %def region_data_get_n_emitters_sc
	@
	<<fks regions: reg data: TBP>>=
	procedure :: get_associated_resonances => region_data_get_associated_resonances
	<<fks regions: procedures>>=
	function region_data_get_associated_resonances (reg_data, emitter) result (res)
	integer, dimension(:), allocatable :: res
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in) :: emitter
	integer :: alr, i
	integer :: n_res
	select type (fks_mapping => reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	n_res = 0

	do alr = 1, reg_data%n_regions
	if (reg_data%regions(alr)%emitter == emitter) &
	n_res = n_res + 1
	end do

	if (n_res > 0) then
	allocate (res (n_res))
	else
	return
	end if
	i = 1

	do alr = 1, reg_data%n_regions
	if (reg_data%regions(alr)%emitter == emitter) then
	res (i) = fks_mapping%res_map%alr_to_i_res (alr)
	i = i + 1
	end if
	end do
	end select
	end function region_data_get_associated_resonances

	@ %def region_data_get_associated_resonances
	@
	<<fks regions: reg data: TBP>>=
	procedure :: emitter_is_compatible_with_resonance => &
	region_data_emitter_is_compatible_with_resonance
	<<fks regions: procedures>>=
	function region_data_emitter_is_compatible_with_resonance &
	(reg_data, i_res, emitter) result (compatible)
	logical :: compatible
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in) :: i_res, emitter
	integer :: i_res_alr, alr
	compatible = .false.
	select type (fks_mapping => reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	do alr = 1, reg_data%n_regions
	i_res_alr = fks_mapping%res_map%alr_to_i_res (alr)
	if (i_res_alr == i_res .and. reg_data%get_emitter(alr) == emitter) then
	compatible = .true.
	exit
	end if
	end do
	end select
	end function region_data_emitter_is_compatible_with_resonance

	@ %def region_data_emitter_is_compatible_with_resonance
	@
	<<fks regions: reg data: TBP>>=
	procedure :: emitter_is_in_resonance => region_data_emitter_is_in_resonance
	<<fks regions: procedures>>=
	function region_data_emitter_is_in_resonance (reg_data, i_res, emitter) result (exist)
	logical :: exist
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in) :: i_res, emitter
	integer :: i
	exist = .false.
	select type (fks_mapping => reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	associate (res_history => fks_mapping%res_map%res_histories(i_res))
	do i = 1, res_history%n_resonances
	exist = exist .or. any (res_history%resonances(i)%contributors%c == emitter)
	end do
	end associate
	end select
	end function region_data_emitter_is_in_resonance

	@ %def region_data_emitter_is_in_resonance
	@
	<<fks regions: reg data: TBP>>=
	procedure :: get_contributors => region_data_get_contributors
	<<fks regions: procedures>>=
	subroutine region_data_get_contributors (reg_data, i_res, emitter, c, success)
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in) :: i_res, emitter
	integer, intent(inout), dimension(:), allocatable :: c
	logical, intent(out) :: success
	integer :: i
	success = .false.
	select type (fks_mapping => reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	associate (res_history => fks_mapping%res_map%res_histories (i_res))
	do i = 1, res_history%n_resonances
	if (any (res_history%resonances(i)%contributors%c == emitter)) then
	allocate (c (size (res_history%resonances(i)%contributors%c)))
	c = res_history%resonances(i)%contributors%c
	success = .true.
	exit
	end if
	end do
	end associate
	end select
	end subroutine region_data_get_contributors

	@ %def region_data_get_contributors
	@
	<<fks regions: reg data: TBP>>=
	procedure :: get_emitter => region_data_get_emitter
	<<fks regions: procedures>>=
	pure function region_data_get_emitter (reg_data, alr) result (emitter)
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in) :: alr
	integer :: emitter
	emitter = reg_data%regions(alr)%emitter
	end function region_data_get_emitter

	@ %def region_data_get_emitter
	@
	<<fks regions: reg data: TBP>>=
	procedure :: map_real_to_born_index => region_data_map_real_to_born_index
	<<fks regions: procedures>>=
	function region_data_map_real_to_born_index (reg_data, real_index) result (uborn_index)
	integer :: uborn_index
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in) :: real_index
	integer :: alr
	uborn_index = 0
	do alr = 1, size (reg_data%regions)
	if (reg_data%regions(alr)%real_index == real_index) then
	uborn_index = reg_data%regions(alr)%uborn_index
	exit
	end if
	end do
	end function region_data_map_real_to_born_index

	@ %def region_data_map_real_to_born_index
	@
	<<fks regions: reg data: TBP>>=
	generic :: get_flv_states_born => get_flv_states_born_single, get_flv_states_born_array
	procedure :: get_flv_states_born_single => region_data_get_flv_states_born_single
	procedure :: get_flv_states_born_array => region_data_get_flv_states_born_array
	<<fks regions: procedures>>=
	function region_data_get_flv_states_born_array (reg_data) result (flv_states)
	integer, dimension(:,:), allocatable :: flv_states
	class(region_data_t), intent(in) :: reg_data
	integer :: i_flv
	allocate (flv_states (reg_data%n_legs_born, reg_data%n_flv_born))
	do i_flv = 1, reg_data%n_flv_born
	flv_states (:, i_flv) = reg_data%flv_born(i_flv)%flst
	end do
	end function region_data_get_flv_states_born_array

	function region_data_get_flv_states_born_single (reg_data, i_flv) result (flv_states)
	integer, dimension(:), allocatable :: flv_states
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in) :: i_flv
	allocate (flv_states (reg_data%n_legs_born))
	flv_states = reg_data%flv_born(i_flv)%flst
	end function region_data_get_flv_states_born_single

	@ %def region_data_get_flv_states_born
	@
	<<fks regions: reg data: TBP>>=
	generic :: get_flv_states_real => get_flv_states_real_single, get_flv_states_real_array
	procedure :: get_flv_states_real_single => region_data_get_flv_states_real_single
	procedure :: get_flv_states_real_array => region_data_get_flv_states_real_array
	<<fks regions: procedures>>=
	function region_data_get_flv_states_real_single (reg_data, i_flv) result (flv_states)
	integer, dimension(:), allocatable :: flv_states
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in) :: i_flv
	integer :: i_reg
	allocate (flv_states (reg_data%n_legs_real))
	do i_reg = 1, reg_data%n_regions
	if (i_flv == reg_data%regions(i_reg)%real_index) then
	flv_states = reg_data%regions(i_reg)%flst_real%flst
	exit
	end if
	end do
	end function region_data_get_flv_states_real_single

	function region_data_get_flv_states_real_array (reg_data) result (flv_states)
	integer, dimension(:,:), allocatable :: flv_states
	class(region_data_t), intent(in) :: reg_data
	integer :: i_flv
	allocate (flv_states (reg_data%n_legs_real, reg_data%n_flv_real))
	do i_flv = 1, reg_data%n_flv_real
	flv_states (:, i_flv) = reg_data%get_flv_states_real (i_flv)
	end do
	end function region_data_get_flv_states_real_array

	@ %def region_data_get_flv_states_real
	@
	<<fks regions: reg data: TBP>>=
	procedure :: get_all_flv_states => region_data_get_all_flv_states
	<<fks regions: procedures>>=
	subroutine region_data_get_all_flv_states (reg_data, flv_born, flv_real)
	class(region_data_t), intent(in) :: reg_data
	integer, dimension(:,:), allocatable, intent(out) :: flv_born, flv_real
	allocate (flv_born (reg_data%n_legs_born, reg_data%n_flv_born))
	flv_born = reg_data%get_flv_states_born ()
	allocate (flv_real (reg_data%n_legs_real, reg_data%n_flv_real))
	flv_real = reg_data%get_flv_states_real ()
	end subroutine region_data_get_all_flv_states

	@ %def region_data_get_all_flv_states
	@
	<<fks regions: reg data: TBP>>=
	procedure :: get_n_in => region_data_get_n_in
	<<fks regions: procedures>>=
	function region_data_get_n_in (reg_data) result (n_in)
	integer :: n_in
	class(region_data_t), intent(in) :: reg_data
	n_in = reg_data%n_in
	end function region_data_get_n_in

	@ %def region_data_get_n_in
	@
	<<fks regions: reg data: TBP>>=
	procedure :: get_n_legs_real => region_data_get_n_legs_real
	<<fks regions: procedures>>=
	function region_data_get_n_legs_real (reg_data) result (n_legs)
	integer :: n_legs
	class(region_data_t), intent(in) :: reg_data
	n_legs = reg_data%n_legs_real
	end function region_data_get_n_legs_real

	@ %def region_data_get_n_legs_real
	<<fks regions: reg data: TBP>>=
	procedure :: get_n_legs_born => region_data_get_n_legs_born
	<<fks regions: procedures>>=
	function region_data_get_n_legs_born (reg_data) result (n_legs)
	integer :: n_legs
	class(region_data_t), intent(in) :: reg_data
	n_legs = reg_data%n_legs_born
	end function region_data_get_n_legs_born

	@ %def region_data_get_n_legs_born
	<<fks regions: reg data: TBP>>=
	procedure :: get_n_flv_real => region_data_get_n_flv_real
	<<fks regions: procedures>>=
	function region_data_get_n_flv_real (reg_data) result (n_flv)
	integer :: n_flv
	class(region_data_t), intent(in) :: reg_data
	n_flv = reg_data%n_flv_real
	end function region_data_get_n_flv_real

	@ %def region_data_get_n_flv_real
	<<fks regions: reg data: TBP>>=
	procedure :: get_n_flv_born => region_data_get_n_flv_born
	<<fks regions: procedures>>=
	function region_data_get_n_flv_born (reg_data) result (n_flv)
	integer :: n_flv
	class(region_data_t), intent(in) :: reg_data
	n_flv = reg_data%n_flv_born
	end function region_data_get_n_flv_born

	@ %def region_data_get_n_flv_born

	@ Returns $S_i = \frac{1}{\mathcal{D}d_i}$ or $S_{ij} =
	\frac{1}{\mathcal{D}d_{ij}}$ for one particular singular region. At
	this point, the flavor array should be rearranged in such a way that
	the emitted particle is at the last position of
	the flavor structure list.
	<<fks regions: reg data: TBP>>=
	generic :: get_svalue => get_svalue_last_pos, get_svalue_ij
	procedure :: get_svalue_last_pos => region_data_get_svalue_last_pos
	procedure :: get_svalue_ij => region_data_get_svalue_ij
	<<fks regions: procedures>>=
	- function region_data_get_svalue_ij (reg_data, p, alr, i, j, i_res) result (sval)
	+ function region_data_get_svalue_ij (reg_data, p_real, alr, i, j, i_res) result (sval)
	class(region_data_t), intent(inout) :: reg_data
	- type(vector4_t), intent(in), dimension(:) :: p
	+ type(vector4_t), intent(in), dimension(:) :: p_real
	integer, intent(in) :: alr, i, j
	integer, intent(in) :: i_res
	real(default) :: sval
	associate (map => reg_data%fks_mapping)
	- call map%compute_sumdij (reg_data%regions(alr), p)
	+ call map%compute_sumdij (reg_data%regions(alr), p_real)
	select type (map)
	type is (fks_mapping_resonances_t)
	map%i_con = reg_data%alr_to_i_contributor (alr)
	end select
	map%pseudo_isr = reg_data%regions(alr)%pseudo_isr
	- sval = map%svalue (p, i, j, i_res) * map%normalization_factor
	+ sval = map%svalue (p_real, i, j, i_res) * map%normalization_factor
	end associate
	end function region_data_get_svalue_ij

	function region_data_get_svalue_last_pos (reg_data, p, alr, emitter, i_res) result (sval)
	class(region_data_t), intent(inout) :: reg_data
	type(vector4_t), intent(in), dimension(:) :: p
	integer, intent(in) :: alr, emitter
	integer, intent(in) :: i_res
	real(default) :: sval
	sval = reg_data%get_svalue (p, alr, emitter, reg_data%n_legs_real, i_res)
	end function region_data_get_svalue_last_pos

	@ %def region_data_get_svalue
	@ The same as above, but for the soft limit.
	<<fks regions: reg data: TBP>>=
	procedure :: get_svalue_soft => region_data_get_svalue_soft
	<<fks regions: procedures>>=
	function region_data_get_svalue_soft &
	- (reg_data, p, p_soft, alr, emitter, i_res) result (sval)
	+ (reg_data, p_born, p_soft, alr, emitter, i_res) result (sval)
	class(region_data_t), intent(inout) :: reg_data
	- type(vector4_t), intent(in), dimension(:) :: p
	+ type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	integer, intent(in) :: alr, emitter, i_res
	real(default) :: sval
	associate (map => reg_data%fks_mapping)
	- call map%compute_sumdij_soft (reg_data%regions(alr), p, p_soft)
	+ call map%compute_sumdij_soft (reg_data%regions(alr), p_born, p_soft)
	select type (map)
	type is (fks_mapping_resonances_t)
	map%i_con = reg_data%alr_to_i_contributor (alr)
	end select
	map%pseudo_isr = reg_data%regions(alr)%pseudo_isr
	- sval = map%svalue_soft (p, p_soft, emitter, i_res) * map%normalization_factor
	+ sval = map%svalue_soft (p_born, p_soft, emitter, i_res) * map%normalization_factor
	end associate
	end function region_data_get_svalue_soft

	@ %def region_data_get_svalue_soft
	@ This subroutine starts with a specification of $N$- and
	$N+1$-particle configurations, [[flst_born]] and [[flst_real]], saved
	in [[reg_data]]. From these, it creates a list of fundamental tuples,
	a list of emitters and a list containing the $N+1$-particle
	configuration, rearranged in such a way that the emitter-radiation
	pair is last ([[flst_alr]]). For the $e^+ \, e^- \, \rightarrow u \,
	\bar{u} \, g$- example, the generated objects are shown in table
	\ref{table:ftuples and flavors}. Note that at this point, [[flst_alr]]
	is arranged in such a way that the emitter can only be equal to
	$n_{legs}-1$ for final-state radiation or 0, 1, or 2 for initial-state
	radiation. Further, it occurs that regions can be equivalent. For
	example in table \ref{table:ftuples and flavors} the regions
	corresponding to \texttt{alr} = 1 and \texttt{alr} = 3 as well as
	\texttt{alr} = 2 and \texttt{alr} = 4 describe the same physics and
	are therefore equivalent.
	@
	<<fks regions: reg data: TBP>>=
	procedure :: find_regions => region_data_find_regions
	<<fks regions: procedures>>=
	subroutine region_data_find_regions &
	(reg_data, model, ftuples, emitters, flst_alr)
	class(region_data_t), intent(in) :: reg_data
	type(model_t), intent(in) :: model
	type(ftuple_list_t), intent(out), dimension(:), allocatable :: ftuples
	integer, intent(out), dimension(:), allocatable :: emitters
	type(flv_structure_t), intent(out), dimension(:), allocatable :: flst_alr
	type(ftuple_list_t), dimension(:,:), allocatable :: ftuples_tmp
	integer, dimension(:,:), allocatable :: ftuple_index
	integer :: n_born, n_real
	integer :: n_legreal
	integer :: i_born, i_real, i_ftuple
	integer :: last_registered_i_born, last_registered_i_real

	n_born = size (reg_data%flv_born)
	n_real = size (reg_data%flv_real)
	n_legreal = size (reg_data%flv_real(1)%flst)
	allocate (emitters (0))
	allocate (flst_alr (0))
	allocate (ftuples (0))
	i_ftuple = 0
	last_registered_i_born = 0; last_registered_i_real = 0

	do i_real = 1, n_real
	do i_born = 1, n_born
	call setup_flsts_emitters_and_ftuples_fsr &
	(i_real, i_born, i_ftuple, flst_alr, emitters, ftuples)
	call setup_flsts_emitters_and_ftuples_isr &
	(i_real, i_born, i_ftuple, flst_alr, emitters, ftuples)
	end do
	end do

	contains
	function incr_i_ftuple_if_required (i_born, i_real, i_ftuple_in) result (i_ftuple)
	integer :: i_ftuple
	integer, intent(in) :: i_born, i_real, i_ftuple_in
	if (last_registered_i_born /= i_born .or. last_registered_i_real /= i_real) then
	last_registered_i_born = i_born
	last_registered_i_real = i_real
	i_ftuple = i_ftuple_in + 1
	else
	i_ftuple = i_ftuple_in
	end if
	end function incr_i_ftuple_if_required

	subroutine setup_flsts_emitters_and_ftuples_fsr &
	(i_real, i_born, i_ftuple, flst_alr, emitters, ftuples)
	integer, intent(in) :: i_real, i_born
	integer, intent(inout) :: i_ftuple
	type(flv_structure_t), intent(inout), dimension(:), allocatable :: flst_alr
	integer, intent(inout), dimension(:), allocatable :: emitters
	type(ftuple_list_t), intent(inout), dimension(:), allocatable :: ftuples
	type(ftuple_list_t) :: ftuples_tmp
	type(flv_structure_t) :: flst_alr_tmp
	type(ftuple_t) :: current_ftuple
	integer :: leg1, leg2
	logical :: valid1, valid2
	associate (flv_born => reg_data%flv_born(i_born), &
	flv_real => reg_data%flv_real(i_real))
	do leg1 = reg_data%n_in + 1, n_legreal
	do leg2 = leg1 + 1, n_legreal
	valid1 = flv_real%valid_pair(leg1, leg2, flv_born, model)
	valid2 = flv_real%valid_pair(leg2, leg1, flv_born, model)
	if (valid1 .or. valid2) then
	if(valid1) then
	flst_alr_tmp = create_alr (flv_real, &
	reg_data%n_in, leg1, leg2)
	else
	flst_alr_tmp = create_alr (flv_real, &
	reg_data%n_in, leg2, leg1)
	end if
	flst_alr = [flst_alr, flst_alr_tmp]
	emitters = [emitters, n_legreal - 1]
	call current_ftuple%set (leg1, leg2)
	call current_ftuple%determine_splitting_type_fsr &
	(flv_real, leg1, leg2)
	i_ftuple = incr_i_ftuple_if_required (i_born, i_real, i_ftuple)
	if (i_ftuple > size (ftuples)) then
	call ftuples_tmp%append (current_ftuple)
	ftuples = [ftuples, ftuples_tmp]
	else
	call ftuples(i_ftuple)%append (current_ftuple)
	end if
	end if
	end do
	end do
	end associate
	end subroutine setup_flsts_emitters_and_ftuples_fsr

	subroutine setup_flsts_emitters_and_ftuples_isr &
	(i_real, i_born, i_ftuple, flst_alr, emitters, ftuples)
	integer, intent(in) :: i_real, i_born
	integer, intent(inout) :: i_ftuple
	type(flv_structure_t), intent(inout), dimension(:), allocatable :: flst_alr
	integer, intent(inout), dimension(:), allocatable :: emitters
	type(ftuple_list_t), intent(inout), dimension(:), allocatable :: ftuples
	type(ftuple_list_t) :: ftuples_tmp
	type(flv_structure_t) :: flst_alr_tmp
	type(ftuple_t) :: current_ftuple
	integer :: leg, emitter
	logical :: valid1, valid2
	associate (flv_born => reg_data%flv_born(i_born), &
	flv_real => reg_data%flv_real(i_real))
	do leg = reg_data%n_in + 1, n_legreal
	valid1 = flv_real%valid_pair(1, leg, flv_born, model)
	if (reg_data%n_in > 1) then
	valid2 = flv_real%valid_pair(2, leg, flv_born, model)
	else
	valid2 = .false.
	end if
	if (valid1 .and. valid2) then
	emitter = 0
	else if (valid1 .and. .not. valid2) then
	emitter = 1
	else if (.not. valid1 .and. valid2) then
	emitter = 2
	else
	emitter = -1
	end if
	if (valid1 .or. valid2) then
	flst_alr_tmp = create_alr (flv_real, reg_data%n_in, emitter, leg)
	flst_alr = [flst_alr, flst_alr_tmp]
	emitters = [emitters, emitter]
	call current_ftuple%set(emitter, leg)
	call current_ftuple%determine_splitting_type_isr &
	(flv_real, emitter, leg)
	i_ftuple = incr_i_ftuple_if_required (i_born, i_real, i_ftuple)
	if (i_ftuple > size (ftuples)) then
	call ftuples_tmp%append (current_ftuple)
	ftuples = [ftuples, ftuples_tmp]
	else
	call ftuples(i_ftuple)%append (current_ftuple)
	end if
	end if
	end do
	end associate
	end subroutine setup_flsts_emitters_and_ftuples_isr

	end subroutine region_data_find_regions

	@ %def region_data_find_regions
	@ Creates singular regions according to table \ref{table:singular
	regions}. It scans all regions in table \ref{table:ftuples and
	flavors} and records the real flavor structures. If they are
	equivalent, the flavor structure is not recorded, but the multiplicity
	of the present one is increased.
	<<fks regions: reg data: TBP>>=
	procedure :: init_singular_regions => region_data_init_singular_regions
	<<fks regions: procedures>>=
	subroutine region_data_init_singular_regions &
	(reg_data, ftuples, emitter, flv_alr, nlo_correction_type)
	class(region_data_t), intent(inout) :: reg_data
	type(ftuple_list_t), intent(inout), dimension(:), allocatable :: ftuples
	type(string_t), intent(in) :: nlo_correction_type
	integer :: n_independent_flv
	integer, intent(in), dimension(:) :: emitter
	type(flv_structure_t), intent(in), dimension(:) :: flv_alr
	type(flv_structure_t), dimension(:), allocatable :: flv_uborn, flv_alr_registered
	integer, dimension(:), allocatable :: mult
	integer, dimension(:), allocatable :: flst_emitter
	integer :: n_regions, maxregions
	integer, dimension(:), allocatable :: index
	integer :: i, i_flv, n_legs
	logical :: equiv, valid_fs_splitting
	integer :: i_first, i_reg, i_reg_prev
	integer, dimension(:), allocatable :: region_to_ftuple, alr_limits
	integer, dimension(:), allocatable :: equiv_index

	maxregions = size (emitter)
	n_legs = flv_alr(1)%nlegs

	allocate (flv_uborn (maxregions))
	allocate (flv_alr_registered (maxregions))
	allocate (mult (maxregions))
	mult = 0
	allocate (flst_emitter (maxregions))
	allocate (index (0))
	allocate (region_to_ftuple (maxregions))
	allocate (equiv_index (maxregions))

	call setup_region_mappings (n_independent_flv, alr_limits, region_to_ftuple)
	i_first = 1
	i_reg = 1
	SCAN_FLAVORS: do i_flv = 1, n_independent_flv
	SCAN_FTUPLES: do i = i_first, i_first + alr_limits (i_flv) - 1
	equiv = .false.
	if (i == i_first) then
	flv_alr_registered(i_reg) = flv_alr(i)
	mult(i_reg) = mult(i_reg) + 1
	flv_uborn(i_reg) = flv_alr(i)%create_uborn (emitter(i), nlo_correction_type)
	flst_emitter(i_reg) = emitter(i)
	index = [index, region_to_real_index(ftuples, i)]
	equiv_index(i_reg) = region_to_ftuple(i)
	i_reg = i_reg + 1
	else
	!!! Check for equivalent flavor structures
	do i_reg_prev = 1, i_reg - 1
	if (emitter(i) == flst_emitter(i_reg_prev) .and. emitter(i) > reg_data%n_in) then
	valid_fs_splitting = check_fs_splitting (flv_alr(i)%get_last_two(n_legs), &
	flv_alr_registered(i_reg_prev)%get_last_two(n_legs), &
	flv_alr(i)%tag(n_legs - 1), flv_alr_registered(i_reg_prev)%tag(n_legs - 1))
	if ((flv_alr(i) .equiv. flv_alr_registered(i_reg_prev)) &
	.and. valid_fs_splitting) then
	mult(i_reg_prev) = mult(i_reg_prev) + 1
	equiv = .true.
	call ftuples(region_to_real_index(ftuples, i))%set_equiv &
	(equiv_index(i_reg_prev), region_to_ftuple(i))
	exit
	end if
	else if (emitter(i) == flst_emitter(i_reg_prev) .and. emitter(i) <= reg_data%n_in) then
	if (flv_alr(i) .equiv. flv_alr_registered(i_reg_prev)) then
	mult(i_reg_prev) = mult(i_reg_prev) + 1
	equiv = .true.
	call ftuples(region_to_real_index(ftuples, i))%set_equiv &
	(equiv_index(i_reg_prev), region_to_ftuple(i))
	exit
	end if
	end if
	end do
	if (.not. equiv) then
	flv_alr_registered(i_reg) = flv_alr(i)
	mult(i_reg) = mult(i_reg) + 1
	flv_uborn(i_reg) = flv_alr(i)%create_uborn (emitter(i), nlo_correction_type)
	flst_emitter(i_reg) = emitter(i)
	index = [index, region_to_real_index(ftuples, i)]
	equiv_index (i_reg) = region_to_ftuple(i)
	i_reg = i_reg + 1
	end if
	end if
	end do SCAN_FTUPLES
	i_first = i_first + alr_limits(i_flv)
	end do SCAN_FLAVORS
	n_regions = i_reg - 1

	allocate (reg_data%regions (n_regions))
	reg_data%n_regions = n_regions
	call account_for_regions_from_other_uborns (ftuples)
	call init_regions_with_permuted_flavors ()
	call assign_real_indices ()

	deallocate (flv_uborn)
	deallocate (flv_alr_registered)
	deallocate (mult)
	deallocate (flst_emitter)
	deallocate (index)
	deallocate (region_to_ftuple)
	deallocate (equiv_index)

	contains

	subroutine account_for_regions_from_other_uborns (ftuples)
	type(ftuple_list_t), intent(inout), dimension(:), allocatable :: ftuples
	integer :: alr1, alr2, i
	type(ftuple_t), dimension(:), allocatable :: ftuples_alr1, ftuples_alr2
	type(flavor_permutation_t) :: perm_list
	logical, dimension(:,:), allocatable :: equivalences
	do alr1 = 1, n_regions
	do alr2 = 1, n_regions
	if (index(alr1) == index(alr2)) cycle
	if (flv_alr_registered(alr1) .equiv. flv_alr_registered(alr2)) then
	call ftuples(index(alr1))%to_array (ftuples_alr1, equivalences, .false.)
	call ftuples(index(alr2))%to_array (ftuples_alr2, equivalences, .false.)
	do i = 1, size (ftuples_alr2)
	if (.not. any (ftuple_equal_ireg (ftuples_alr1, ftuples_alr2(i)))) then
	call ftuples(index(alr1))%append (ftuples_alr2(i))
	end if
	end do
	end if
	end do
	end do
	end subroutine account_for_regions_from_other_uborns

	subroutine setup_region_mappings (n_independent_flv, &
	alr_limits, region_to_ftuple)
	integer, intent(inout) :: n_independent_flv
	integer, intent(inout), dimension(:), allocatable :: alr_limits
	integer, intent(inout), dimension(:), allocatable :: region_to_ftuple
	integer :: i, j, i_flv
	if (any (ftuples%get_n_tuples() == 0)) &
	call msg_fatal ("Inconsistent collection of FKS pairs!")
	n_independent_flv = size (ftuples)
	alr_limits = ftuples%get_n_tuples()
	if (.not. (sum (alr_limits) == maxregions)) &
	call msg_fatal ("Too many regions!")
	j = 1
	do i_flv = 1, n_independent_flv
	do i = 1, alr_limits(i_flv)
	region_to_ftuple(j) = i
	j = j + 1
	end do
	end do
	end subroutine setup_region_mappings

	subroutine check_permutation (perm, flv_perm, flv_orig, i_reg)
	type(flavor_permutation_t), intent(in) :: perm
	type(flv_structure_t), intent(in) :: flv_perm, flv_orig
	integer, intent(in) :: i_reg
	type(flv_structure_t) :: flv_test
	flv_test = perm%apply (flv_orig, invert = .true.)
	if (.not. all (flv_test%flst == flv_perm%flst)) then
	print *, 'Fail at: ', i_reg
	print *, 'Original flavor structure: ', flv_orig%flst
	call perm%write ()
	print *, 'Permuted flavor: ', flv_perm%flst
	print *, 'Should be: ', flv_test%flst
	call msg_fatal ("Permutation does not reproduce original flavor!")
	end if
	end subroutine check_permutation

	subroutine init_regions_with_permuted_flavors ()
	type(flavor_permutation_t) :: perm_list
	type(ftuple_t), dimension(:), allocatable :: ftuple_array
	logical, dimension(:,:), allocatable :: equivalences
	integer :: i, j
	do j = 1, n_regions
	do i = 1, reg_data%n_flv_born
	if (reg_data%flv_born (i) .equiv. flv_uborn (j)) then
	call perm_list%reset ()
	call perm_list%init (reg_data%flv_born(i), flv_uborn(j), &
	reg_data%n_in, reg_data%n_legs_born, .true.)
	flv_uborn(j) = perm_list%apply (flv_uborn(j))
	flv_alr_registered(j) = perm_list%apply (flv_alr_registered(j))
	flst_emitter(j) = perm_list%apply (flst_emitter(j))
	end if
	end do
	call ftuples(index(j))%to_array (ftuple_array, equivalences, .false.)
	do i = 1, size (reg_data%flv_real)
	if (reg_data%flv_real(i) .equiv. flv_alr_registered(j)) then
	call perm_list%reset ()
	call perm_list%init (flv_alr_registered(j), reg_data%flv_real(i), &
	reg_data%n_in, reg_data%n_legs_real, .false.)
	if (debug_active (D_SUBTRACTION)) call check_permutation &
	(perm_list, reg_data%flv_real(i), flv_alr_registered(j), j)
	ftuple_array = perm_list%apply (ftuple_array)
	call ftuple_sort_array (ftuple_array, equivalences)
	end if
	end do
	call reg_data%regions(j)%init (j, mult(j), 0, flv_alr_registered(j), &
	flv_uborn(j), reg_data%flv_born, flst_emitter(j), ftuple_array, &
	equivalences, nlo_correction_type)
	if (allocated (ftuple_array)) deallocate (ftuple_array)
	if (allocated (equivalences)) deallocate (equivalences)
	end do
	end subroutine init_regions_with_permuted_flavors

	subroutine assign_real_indices ()
	type(flv_structure_t) :: current_flv_real
	type(flv_structure_t), dimension(:), allocatable :: these_flv
	integer :: i_real, current_uborn_index
	integer :: i, j, this_i_real
	allocate (these_flv (size (flv_alr_registered)))
	i_real = 1
	associate (regions => reg_data%regions)
	do i = 1, reg_data%n_regions
	do j = 1, size (these_flv)
	if (.not. allocated (these_flv(j)%flst)) then
	this_i_real = i_real
	call these_flv(i_real)%init (flv_alr_registered(i)%flst, reg_data%n_in)
	i_real = i_real + 1
	exit
	else if (all (these_flv(j)%flst == flv_alr_registered(i)%flst)) then
	this_i_real = j
	exit
	end if
	end do
	regions(i)%real_index = this_i_real
	end do
	end associate
	deallocate (these_flv)
	end subroutine assign_real_indices

	subroutine write_perm_list (perm_list)
	integer, intent(in), dimension(:,:) :: perm_list
	integer :: i
	do i = 1, size (perm_list(:,1))
	write (*,'(I1,1x,I1,A)', advance = "no" ) perm_list(i,1), perm_list(i,2), '/'
	end do
	print *, ''
	end subroutine write_perm_list

	function check_fs_splitting (flv1, flv2, tag1, tag2) result (valid)
	logical :: valid
	integer, intent(in), dimension(2) :: flv1, flv2
	integer, intent(in) :: tag1, tag2
	if (flv1(1) + flv1(2) == 0) then
	valid = abs(flv1(1)) == abs(flv2(1)) .and. abs(flv1(2)) == abs(flv2(2))
	else
	valid = flv1(1) == flv2(1) .and. flv1(2) == flv2(2) .and. tag1 == tag2
	end if
	end function check_fs_splitting
	end subroutine region_data_init_singular_regions

	@ %def region_data_init_singular_regions
	@ Create an array containing all emitters and resonances of [[region_data]].
	<<fks regions: reg data: TBP>>=
	procedure :: find_emitters => region_data_find_emitters
	<<fks regions: procedures>>=
	subroutine region_data_find_emitters (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	integer :: alr, j, n_em, em
	integer, dimension(:), allocatable :: em_count
	allocate (em_count(reg_data%n_regions))
	em_count = -1
	n_em = 0

	!!!Count the number of different emitters
	do alr = 1, reg_data%n_regions
	em = reg_data%regions(alr)%emitter
	if (.not. any (em_count == em)) then
	n_em = n_em + 1
	em_count(alr) = em
	end if
	end do

	if (n_em < 1) call msg_fatal ("region_data_find_emitters: No emitters found!")
	reg_data%n_emitters = n_em
	allocate (reg_data%emitters (reg_data%n_emitters))
	reg_data%emitters = -1

	j = 1
	do alr = 1, size (reg_data%regions)
	em = reg_data%regions(alr)%emitter
	if (.not. any (reg_data%emitters == em)) then
	reg_data%emitters(j) = em
	j = j + 1
	end if
	end do
	end subroutine region_data_find_emitters

	@ %def region_data_find_emitters
	@
	<<fks regions: reg data: TBP>>=
	procedure :: find_resonances => region_data_find_resonances
	<<fks regions: procedures>>=
	subroutine region_data_find_resonances (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	integer :: alr, j, k, n_res, n_contr
	integer :: res
	integer, dimension(10) :: res_count
	type(resonance_contributors_t), dimension(10) :: contributors_count
	type(resonance_contributors_t) :: contributors
	integer :: i_res, emitter
	logical :: share_emitter
	res_count = -1
	n_res = 0; n_contr = 0

	!!! Count the number of different resonances
	do alr = 1, reg_data%n_regions
	select type (fks_mapping => reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	res = fks_mapping%res_map%alr_to_i_res (alr)
	if (.not. any (res_count == res)) then
	n_res = n_res + 1
	res_count(alr) = res
	end if
	end select
	end do

	if (n_res > 0) allocate (reg_data%resonances (n_res))

	j = 1
	select type (fks_mapping => reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	do alr = 1, size (reg_data%regions)
	res = fks_mapping%res_map%alr_to_i_res (alr)
	if (.not. any (reg_data%resonances == res)) then
	reg_data%resonances(j) = res
	j = j + 1
	end if
	end do

	allocate (reg_data%alr_to_i_contributor (size (reg_data%regions)))
	do alr = 1, size (reg_data%regions)
	i_res = fks_mapping%res_map%alr_to_i_res (alr)
	emitter = reg_data%regions(alr)%emitter
	call reg_data%get_contributors (i_res, emitter, contributors%c, share_emitter)
	if (.not. share_emitter) cycle
	if (.not. any (contributors_count == contributors)) then
	n_contr = n_contr + 1
	contributors_count(alr) = contributors
	end if
	if (allocated (contributors%c)) deallocate (contributors%c)
	end do
	allocate (reg_data%alr_contributors (n_contr))
	j = 1
	do alr = 1, size (reg_data%regions)
	i_res = fks_mapping%res_map%alr_to_i_res (alr)
	emitter = reg_data%regions(alr)%emitter
	call reg_data%get_contributors (i_res, emitter, contributors%c, share_emitter)
	if (.not. share_emitter) cycle
	if (.not. any (reg_data%alr_contributors == contributors)) then
	reg_data%alr_contributors(j) = contributors
	reg_data%alr_to_i_contributor (alr) = j
	j = j + 1
	else
	do k = 1, size (reg_data%alr_contributors)
	if (reg_data%alr_contributors(k) == contributors) exit
	end do
	reg_data%alr_to_i_contributor (alr) = k
	end if
	if (allocated (contributors%c)) deallocate (contributors%c)
	end do
	end select
	call reg_data%extend_ftuples (n_res)
	call reg_data%set_contributors ()

	end subroutine region_data_find_resonances

	@ %def region_data_find_resonances
	@
	<<fks regions: reg data: TBP>>=
	procedure :: set_i_phs_to_i_con => region_data_set_i_phs_to_i_con
	<<fks regions: procedures>>=
	subroutine region_data_set_i_phs_to_i_con (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	integer :: alr
	integer :: i_res, emitter, i_con, i_phs, i_em
	type(phs_identifier_t), dimension(:), allocatable :: phs_id_tmp
	logical :: share_emitter, phs_exist
	type(resonance_contributors_t) :: contributors
	allocate (phs_id_tmp (reg_data%n_phs))
	if (allocated (reg_data%resonances)) then
	allocate (reg_data%i_phs_to_i_con (reg_data%n_phs))
	do i_em = 1, size (reg_data%emitters)
	emitter = reg_data%emitters(i_em)
	do i_res = 1, size (reg_data%resonances)
	if (reg_data%emitter_is_compatible_with_resonance (i_res, emitter)) then
	alr = find_alr (emitter, i_res)
	if (alr == 0) call msg_fatal ("Could not find requested alpha region!")
	i_con = reg_data%alr_to_i_contributor (alr)
	call reg_data%get_contributors (i_res, emitter, contributors%c, share_emitter)
	if (.not. share_emitter) cycle
	call check_for_phs_identifier &
	(phs_id_tmp, reg_data%n_in, emitter, contributors%c, phs_exist, i_phs)
	if (phs_id_tmp(i_phs)%emitter < 0) then
	phs_id_tmp(i_phs)%emitter = emitter
	allocate (phs_id_tmp(i_phs)%contributors (size (contributors%c)))
	phs_id_tmp(i_phs)%contributors = contributors%c
	end if
	reg_data%i_phs_to_i_con (i_phs) = i_con
	end if
	if (allocated (contributors%c)) deallocate (contributors%c)
	end do
	end do
	end if
	contains
	function find_alr (emitter, i_res) result (alr)
	integer :: alr
	integer, intent(in) :: emitter, i_res
	integer :: i
	do i = 1, reg_data%n_regions
	if (reg_data%regions(i)%emitter == emitter .and. &
	reg_data%regions(i)%i_res == i_res) then
	alr = i
	return
	end if
	end do
	alr = 0
	end function find_alr
	end subroutine region_data_set_i_phs_to_i_con

	@ %def region_data_set_i_phs_to_i_con
	@
	<<fks regions: reg data: TBP>>=
	procedure :: set_alr_to_i_phs => region_data_set_alr_to_i_phs
	<<fks regions: procedures>>=
	subroutine region_data_set_alr_to_i_phs (reg_data, phs_identifiers, alr_to_i_phs)
	class(region_data_t), intent(inout) :: reg_data
	type(phs_identifier_t), intent(in), dimension(:) :: phs_identifiers
	integer, intent(out), dimension(:) :: alr_to_i_phs
	integer :: alr, i_phs
	integer :: emitter, i_res
	type(resonance_contributors_t) :: contributors
	logical :: share_emitter, phs_exist
	do alr = 1, reg_data%n_regions
	associate (region => reg_data%regions(alr))
	emitter = region%emitter
	i_res = region%i_res
	if (i_res /= 0) then
	call reg_data%get_contributors (i_res, emitter, &
	contributors%c, share_emitter)
	if (.not. share_emitter) cycle
	end if
	if (allocated (contributors%c)) then
	call check_for_phs_identifier (phs_identifiers, reg_data%n_in, &
	emitter, contributors%c, phs_exist = phs_exist, i_phs = i_phs)
	else
	call check_for_phs_identifier (phs_identifiers, reg_data%n_in, &
	emitter, phs_exist = phs_exist, i_phs = i_phs)
	end if
	if (.not. phs_exist) &
	call msg_fatal ("phs identifiers are not set up correctly!")
	alr_to_i_phs(alr) = i_phs
	end associate
	if (allocated (contributors%c)) deallocate (contributors%c)
	end do
	end subroutine region_data_set_alr_to_i_phs

	@ %def region_data_set_alr_to_i_phs
	@
	<<fks regions: reg data: TBP>>=
	procedure :: set_contributors => region_data_set_contributors
	<<fks regions: procedures>>=
	subroutine region_data_set_contributors (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	integer :: alr, i_res, i_reg, i_con
	integer :: i1, i2, i_em
	integer, dimension(:), allocatable :: contributors
	logical :: share_emitter
	do alr = 1, size (reg_data%regions)
	associate (sregion => reg_data%regions(alr))
	allocate (sregion%i_reg_to_i_con (sregion%nregions))
	do i_reg = 1, sregion%nregions
	call sregion%ftuples(i_reg)%get (i1, i2)
	i_em = get_emitter_index (i1, i2, reg_data%n_legs_real)
	i_res = sregion%ftuples(i_reg)%i_res
	call reg_data%get_contributors (i_res, i_em, contributors, share_emitter)
	!!! Lookup contributor index
	do i_con = 1, size (reg_data%alr_contributors)
	if (all (reg_data%alr_contributors(i_con)%c == contributors)) then
	sregion%i_reg_to_i_con (i_reg) = i_con
	exit
	end if
	end do
	deallocate (contributors)
	end do
	end associate
	end do
	contains
	function get_emitter_index (i1, i2, n) result (i_em)
	integer :: i_em
	integer, intent(in) :: i1, i2, n
	if (i1 == n) then
	i_em = i2
	else
	i_em = i1
	end if
	end function get_emitter_index
	end subroutine region_data_set_contributors

	@ %def region_data_set_contributors
	@ This extension of the ftuples is still too naive as it assumes that the same
	resonances are possible for all ftuples
	<<fks regions: reg data: TBP>>=
	procedure :: extend_ftuples => region_data_extend_ftuples
	<<fks regions: procedures>>=
	subroutine region_data_extend_ftuples (reg_data, n_res)
	class(region_data_t), intent(inout) :: reg_data
	integer, intent(in) :: n_res
	integer :: alr, n_reg_save
	integer :: i_reg, i_res, i_em, k
	type(ftuple_t), dimension(:), allocatable :: ftuple_save
	integer :: n_new
	do alr = 1, size (reg_data%regions)
	associate (sregion => reg_data%regions(alr))
	n_reg_save = sregion%nregions
	allocate (ftuple_save (n_reg_save))
	ftuple_save = sregion%ftuples
	n_new = count_n_new_ftuples (sregion, n_res)
	deallocate (sregion%ftuples)
	sregion%nregions = n_new
	allocate (sregion%ftuples (n_new))
	k = 1
	do i_res = 1, n_res
	do i_reg = 1, n_reg_save
	associate (ftuple_new => sregion%ftuples(k))
	i_em = ftuple_save(i_reg)%ireg(1)
	if (reg_data%emitter_is_in_resonance (i_res, i_em)) then
	call ftuple_new%set (i_em, ftuple_save(i_reg)%ireg(2))
	ftuple_new%i_res = i_res
	ftuple_new%splitting_type = ftuple_save(i_reg)%splitting_type
	k = k + 1
	end if
	end associate
	end do
	end do
	end associate
	deallocate (ftuple_save)
	end do
	contains
	function count_n_new_ftuples (sregion, n_res) result (n_new)
	integer :: n_new
	type(singular_region_t), intent(in) :: sregion
	integer, intent(in) :: n_res
	integer :: i_reg, i_res, i_em
	n_new = 0
	do i_reg = 1, sregion%nregions
	do i_res = 1, n_res
	i_em = sregion%ftuples(i_reg)%ireg(1)
	if (reg_data%emitter_is_in_resonance (i_res, i_em)) &
	n_new = n_new + 1
	end do
	end do
	end function count_n_new_ftuples
	end subroutine region_data_extend_ftuples

	@ %def region_data_extend_ftuples
	@
	<<fks regions: reg data: TBP>>=
	procedure :: get_flavor_indices => region_data_get_flavor_indices
	<<fks regions: procedures>>=
	function region_data_get_flavor_indices (reg_data, born) result (i_flv)
	integer, dimension(:), allocatable :: i_flv
	class(region_data_t), intent(in) :: reg_data
	logical, intent(in) :: born
	allocate (i_flv (reg_data%n_regions))
	if (born) then
	i_flv = reg_data%regions%uborn_index
	else
	i_flv = reg_data%regions%real_index
	end if
	end function region_data_get_flavor_indices

	@ %def region_data_get_flavor_indices
	@
	<<fks regions: reg data: TBP>>=
	procedure :: get_matrix_element_index => region_data_get_matrix_element_index
	<<fks regions: procedures>>=
	function region_data_get_matrix_element_index (reg_data, i_reg) result (i_me)
	integer :: i_me
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in) :: i_reg
	i_me = reg_data%regions(i_reg)%real_index
	end function region_data_get_matrix_element_index

	@ %def region_data_get_matrix_element_index
	@
	<<fks regions: reg data: TBP>>=
	procedure :: compute_number_of_phase_spaces &
	=> region_data_compute_number_of_phase_spaces
	<<fks regions: procedures>>=
	subroutine region_data_compute_number_of_phase_spaces (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	integer :: i_em, i_res, i_phs
	integer :: emitter
	type(resonance_contributors_t) :: contributors
	integer, parameter :: n_max_phs = 10
	type(phs_identifier_t), dimension(n_max_phs) :: phs_id_tmp
	logical :: share_emitter, phs_exist
	if (allocated (reg_data%resonances)) then
	reg_data%n_phs = 0
	do i_em = 1, size (reg_data%emitters)
	emitter = reg_data%emitters(i_em)
	do i_res = 1, size (reg_data%resonances)
	if (reg_data%emitter_is_compatible_with_resonance (i_res, emitter)) then
	call reg_data%get_contributors (i_res, emitter, contributors%c, share_emitter)
	if (.not. share_emitter) cycle
	call check_for_phs_identifier &
	(phs_id_tmp, reg_data%n_in, emitter, contributors%c, phs_exist, i_phs)
	if (.not. phs_exist) then
	reg_data%n_phs = reg_data%n_phs + 1
	if (reg_data%n_phs > n_max_phs) call msg_fatal &
	("Buffer of phase space identifieres: Too much phase spaces!")
	call phs_id_tmp(i_phs)%init (emitter, contributors%c)
	end if
	end if
	if (allocated (contributors%c)) deallocate (contributors%c)
	end do
	end do
	else
	reg_data%n_phs = size (remove_duplicates_from_int_array (reg_data%emitters))
	end if
	end subroutine region_data_compute_number_of_phase_spaces

	@ %def region_data_compute_number_of_phase_spaces
	@
	<<fks regions: reg data: TBP>>=
	procedure :: get_n_phs => region_data_get_n_phs
	<<fks regions: procedures>>=
	function region_data_get_n_phs (reg_data) result (n_phs)
	integer :: n_phs
	class(region_data_t), intent(in) :: reg_data
	n_phs = reg_data%n_phs
	end function region_data_get_n_phs

	@ %def region_data_get_n_phs
	@
	<<fks regions: reg data: TBP>>=
	procedure :: set_splitting_info => region_data_set_splitting_info
	<<fks regions: procedures>>=
	subroutine region_data_set_splitting_info (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	integer :: alr
	do alr = 1, reg_data%n_regions
	call reg_data%regions(alr)%set_splitting_info (reg_data%n_in)
	end do
	end subroutine region_data_set_splitting_info

	@ %def region_data_set_splitting_info
	@
	<<fks regions: reg data: TBP>>=
	procedure :: init_phs_identifiers => region_data_init_phs_identifiers
	<<fks regions: procedures>>=
	subroutine region_data_init_phs_identifiers (reg_data, phs_id)
	class(region_data_t), intent(in) :: reg_data
	type(phs_identifier_t), intent(out), dimension(:), allocatable :: phs_id
	integer :: i_em, i_res, i_phs
	integer :: emitter
	type(resonance_contributors_t) :: contributors
	logical :: share_emitter, phs_exist
	allocate (phs_id (reg_data%n_phs))
	do i_em = 1, size (reg_data%emitters)
	emitter = reg_data%emitters(i_em)
	if (allocated (reg_data%resonances)) then
	do i_res = 1, size (reg_data%resonances)
	call reg_data%get_contributors (i_res, emitter, contributors%c, share_emitter)
	if (.not. share_emitter) cycle
	call check_for_phs_identifier &
	(phs_id, reg_data%n_in, emitter, contributors%c, phs_exist, i_phs)
	if (.not. phs_exist) &
	call phs_id(i_phs)%init (emitter, contributors%c)
	if (allocated (contributors%c)) deallocate (contributors%c)
	end do
	else
	call check_for_phs_identifier (phs_id, reg_data%n_in, emitter, &
	phs_exist = phs_exist, i_phs = i_phs)
	if (.not. phs_exist) call phs_id(i_phs)%init (emitter)
	end if
	end do
	end subroutine region_data_init_phs_identifiers

	@ %def region_data_init_phs_identifiers
	@
	<<fks regions: reg data: TBP>>=
	procedure :: get_all_ftuples => region_data_get_all_ftuples
	<<fks regions: procedures>>=
	subroutine region_data_get_all_ftuples (reg_data, ftuples)
	class(region_data_t), intent(in) :: reg_data
	type(ftuple_t), intent(inout), dimension(:), allocatable :: ftuples
	type(ftuple_t), dimension(:), allocatable :: ftuple_tmp
	integer :: i, j, alr
	!!! Can have at most n * (n-1) ftuples
	j = 0
	allocate (ftuple_tmp (reg_data%n_legs_real * (reg_data%n_legs_real - 1)))
	do i = 1, reg_data%n_regions
	associate (region => reg_data%regions(i))
	do alr = 1, region%nregions
	if (.not. any (region%ftuples(alr) == ftuple_tmp)) then
	j = j + 1
	ftuple_tmp(j) = region%ftuples(alr)
	end if
	end do
	end associate
	end do
	allocate (ftuples (j))
	ftuples = ftuple_tmp(1:j)
	deallocate (ftuple_tmp)
	end subroutine region_data_get_all_ftuples

	@ %def region_data_get_all_ftuples
	@
	<<fks regions: reg data: TBP>>=
	procedure :: write_to_file => region_data_write_to_file
	<<fks regions: procedures>>=
	subroutine region_data_write_to_file (reg_data, proc_id, latex, os_data)
	class(region_data_t), intent(inout) :: reg_data
	type(string_t), intent(in) :: proc_id
	logical, intent(in) :: latex
	type(os_data_t), intent(in) :: os_data
	type(string_t) :: filename
	integer :: u
	integer :: status

	if (latex) then
	filename = proc_id // "_fks_regions.tex"
	else
	filename = proc_id // "_fks_regions.out"
	end if
	u = free_unit ()
	open (u, file=char(filename), action = "write", status="replace")
	if (latex) then
	call reg_data%write_latex (u)
	close (u)
	call os_data%build_latex_file &
	(proc_id // "_fks_regions", stat_out = status)
	if (status /= 0) &
	call msg_error (char ("Failed to compile " // filename))
	else
	call reg_data%write (u)
	close (u)
	end if
	end subroutine region_data_write_to_file

	@ %def region_data_write_to_file
	@
	<<fks regions: reg data: TBP>>=
	procedure :: write_latex => region_data_write_latex
	<<fks regions: procedures>>=
	subroutine region_data_write_latex (reg_data, unit)
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in), optional :: unit
	integer :: i, u
	u = given_output_unit (); if (present (unit)) u = unit
	write (u, "(A)") "\documentclass{article}"
	write (u, "(A)") "\begin{document}"
	write (u, "(A)") "%FKS region data, automatically created by WHIZARD"
	write (u, "(A)") "\begin{table}"
	write (u, "(A)") "\begin{center}"
	write (u, "(A)") "\begin{tabular} {\|c\|c\|c\|c\|c\|c\|c\|c\|}"
	write (u, "(A)") "\hline"
	write (u, "(A)") "$\alpha_r$ & $f_r$ & $i_r$ & $\varepsilon$ & $\varsigma$ & $\mathcal{P}_{\rm{FKS}}$ & $i_b$ & $f_b$ \\"
	write (u, "(A)") "\hline"
	do i = 1, reg_data%n_regions
	call reg_data%regions(i)%write_latex (u)
	end do
	write (u, "(A)") "\hline"
	write (u, "(A)") "\end{tabular}"
	write (u, "(A)") "\caption{List of singular regions}"
	write (u, "(A)") "\begin{description}"
	write (u, "(A)") "\item[$\alpha_r$] Index of the singular region"
	write (u, "(A)") "\item[$f_r$] Real flavor structure"
	write (u, "(A)") "\item[$i_r$] Index of the associated real flavor structure"
	write (u, "(A)") "\item[$\varepsilon$] Emitter"
	write (u, "(A)") "\item[$\varsigma$] Multiplicity" !!! The symbol used by 0908.4272 for multiplicities
	write (u, "(A)") "\item[$\mathcal{P}_{\rm{FKS}}$] The set of singular FKS-pairs"
	write (u, "(A)") "\item[$i_b$] Underlying Born index"
	write (u, "(A)") "\item[$f_b$] Underlying Born flavor structure"
	write (u, "(A)") "\end{description}"
	write (u, "(A)") "\end{center}"
	write (u, "(A)") "\end{table}"
	write (u, "(A)") "\end{document}"
	end subroutine region_data_write_latex

	@ %def region_data_write_latex
	@ Creates a table with information about all singular regions and
	writes it to a file.
	<<fks regions: reg data: TBP>>=
	procedure :: write => region_data_write
	<<fks regions: procedures>>=
	subroutine region_data_write (reg_data, unit)
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in), optional :: unit
	integer :: j
	integer :: maxnregions, i_reg_max
	type(string_t) :: flst_title, ftuple_title
	integer :: n_res, u
	u = given_output_unit (unit); if (u < 0) return
	maxnregions = 1; i_reg_max = 1
	do j = 1, reg_data%n_regions
	if (size (reg_data%regions(j)%ftuples) > maxnregions) then
	maxnregions = reg_data%regions(j)%nregions
	i_reg_max = j
	end if
	end do
	flst_title = '(A' // flst_title_format(reg_data%n_legs_real) // ')'
	ftuple_title = '(A' // ftuple_title_format() // ')'
	write (u,'(A,1X,I4)') 'Total number of regions: ', size(reg_data%regions)
	write (u, '(A4)', advance = 'no') ' alr'
	call write_vline (u)
	write (u, char (flst_title), advance = 'no') 'flst_real'
	call write_vline (u)
	write (u, '(A6)', advance = 'no') 'i_real'
	call write_vline (u)
	write (u, '(A3)', advance = 'no') 'em'
	call write_vline (u)
	write (u, '(A3)', advance = 'no') 'mult'
	call write_vline (u)
	write (u, '(A4)', advance = 'no') 'nreg'
	call write_vline (u)
	if (allocated (reg_data%fks_mapping)) then
	select type (fks_mapping => reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	write (u, '(A3)', advance = 'no') 'res'
	call write_vline (u)
	end select
	end if
	write (u, char (ftuple_title), advance = 'no') 'ftuples'
	call write_vline (u)
	flst_title = '(A' // flst_title_format(reg_data%n_legs_born) // ')'
	write (u, char (flst_title), advance = 'no') 'flst_born'
	call write_vline (u)
	write (u, '(A7)') 'i_born'
	do j = 1, reg_data%n_regions
	write (u, '(I4)', advance = 'no') j
	call reg_data%regions(j)%write (u, maxnregions)
	end do
	call write_separator (u)
	if (allocated (reg_data%fks_mapping)) then
	select type (fks_mapping => reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	write (u, '(A)')
	write (u, '(A)') "The FKS regions are combined with resonance information: "
	n_res = size (fks_mapping%res_map%res_histories)
	write (u, '(A,1X,I1)') "Number of QCD resonance histories: ", n_res
	do j = 1, n_res
	write (u, '(A,1X,I1)') "i_res = ", j
	call fks_mapping%res_map%res_histories(j)%write (u)
	call write_separator (u)
	end do
	end select
	end if

	contains

	function flst_title_format (n) result (frmt)
	integer, intent(in) :: n
	type(string_t) :: frmt
	character(len=2) :: frmt_char
	write (frmt_char, '(I2)') 4 * n + 1
	frmt = var_str (frmt_char)
	end function flst_title_format

	function ftuple_title_format () result (frmt)
	type(string_t) :: frmt
	integer :: n_ftuple_char
	!!! An ftuple (x,x) consists of five characters. In the string, they
	!!! are separated by maxregions - 1 commas. In total these are
	!!! 5 * maxnregions + maxnregions - 1 = 6 * maxnregions - 1 characters.
	!!! The {} brackets at add two additional characters.
	n_ftuple_char = 6 * maxnregions + 1
	!!! If there are resonances, each ftuple with a resonance adds a ";x"
	!!! to the ftuple
	n_ftuple_char = n_ftuple_char + 2 * count (reg_data%regions(i_reg_max)%ftuples%i_res > 0)
	!!! Pseudo-ISR regions are denoted with a * at the end
	n_ftuple_char = n_ftuple_char + count (reg_data%regions(i_reg_max)%ftuples%pseudo_isr)
	frmt = str (n_ftuple_char)
	end function ftuple_title_format

	end subroutine region_data_write

	@ %def region_data_write
	@
	<<fks regions: procedures>>=
	subroutine write_vline (u)
	integer, intent(in) :: u
	character(len=10), parameter :: sep_format = "(1X,A2,1X)"
	write (u, sep_format, advance = 'no') '\|\|'
	end subroutine write_vline

	@ %def write_vline
	@
	<<fks regions: public>>=
	public :: assignment(=)
	<<fks regions: interfaces>>=
	interface assignment(=)
	module procedure region_data_assign
	end interface

	<<fks regions: procedures>>=
	subroutine region_data_assign (reg_data_out, reg_data_in)
	type(region_data_t), intent(out) :: reg_data_out
	type(region_data_t), intent(in) :: reg_data_in
	integer :: i
	if (allocated (reg_data_in%regions)) then
	allocate (reg_data_out%regions (size (reg_data_in%regions)))
	do i = 1, size (reg_data_in%regions)
	reg_data_out%regions(i) = reg_data_in%regions(i)
	end do
	else
	call msg_warning ("Copying region data without allocated singular regions!")
	end if
	if (allocated (reg_data_in%flv_born)) then
	allocate (reg_data_out%flv_born (size (reg_data_in%flv_born)))
	do i = 1, size (reg_data_in%flv_born)
	reg_data_out%flv_born(i) = reg_data_in%flv_born(i)
	end do
	else
	call msg_warning ("Copying region data without allocated born flavor structure!")
	end if
	if (allocated (reg_data_in%flv_real)) then
	allocate (reg_data_out%flv_real (size (reg_data_in%flv_real)))
	do i = 1, size (reg_data_in%flv_real)
	reg_data_out%flv_real(i) = reg_data_in%flv_real(i)
	end do
	else
	call msg_warning ("Copying region data without allocated real flavor structure!")
	end if
	if (allocated (reg_data_in%emitters)) then
	allocate (reg_data_out%emitters (size (reg_data_in%emitters)))
	do i = 1, size (reg_data_in%emitters)
	reg_data_out%emitters(i) = reg_data_in%emitters(i)
	end do
	else
	call msg_warning ("Copying region data without allocated emitters!")
	end if
	reg_data_out%n_regions = reg_data_in%n_regions
	reg_data_out%n_emitters = reg_data_in%n_emitters
	reg_data_out%n_flv_born = reg_data_in%n_flv_born
	reg_data_out%n_flv_real = reg_data_in%n_flv_real
	reg_data_out%n_in = reg_data_in%n_in
	reg_data_out%n_legs_born = reg_data_in%n_legs_born
	reg_data_out%n_legs_real = reg_data_in%n_legs_real
	if (allocated (reg_data_in%fks_mapping)) then
	select type (fks_mapping_in => reg_data_in%fks_mapping)
	type is (fks_mapping_default_t)
	allocate (fks_mapping_default_t :: reg_data_out%fks_mapping)
	select type (fks_mapping_out => reg_data_out%fks_mapping)
	type is (fks_mapping_default_t)
	fks_mapping_out = fks_mapping_in
	end select
	type is (fks_mapping_resonances_t)
	allocate (fks_mapping_resonances_t :: reg_data_out%fks_mapping)
	select type (fks_mapping_out => reg_data_out%fks_mapping)
	type is (fks_mapping_resonances_t)
	fks_mapping_out = fks_mapping_in
	end select
	end select
	else
	call msg_warning ("Copying region data without allocated FKS regions!")
	end if
	if (allocated (reg_data_in%resonances)) then
	allocate (reg_data_out%resonances (size (reg_data_in%resonances)))
	reg_data_out%resonances = reg_data_in%resonances
	end if
	reg_data_out%n_phs = reg_data_in%n_phs
	if (allocated (reg_data_in%alr_contributors)) then
	allocate (reg_data_out%alr_contributors (size (reg_data_in%alr_contributors)))
	reg_data_out%alr_contributors = reg_data_in%alr_contributors
	end if
	if (allocated (reg_data_in%alr_to_i_contributor)) then
	allocate (reg_data_out%alr_to_i_contributor &
	(size (reg_data_in%alr_to_i_contributor)))
	reg_data_out%alr_to_i_contributor = reg_data_in%alr_to_i_contributor
	end if
	end subroutine region_data_assign

	@ %def region_data_assign
	@ Returns the index of the real flavor structure an ftuple belogs to.
	<<fks regions: procedures>>=
	function region_to_real_index (list, i) result(index)
	type(ftuple_list_t), intent(in), dimension(:), allocatable :: list
	integer, intent(in) :: i
	integer, dimension(:), allocatable :: nreg
	integer :: index, j
	allocate (nreg (0))
	index = 0
	do j = 1, size (list)
	nreg = [nreg, sum (list(:j)%get_n_tuples ())]
	if (j == 1) then
	if (i <= nreg(j)) then
	index = j
	exit
	end if
	else
	if (i > nreg(j - 1) .and. i <= nreg(j)) then
	index = j
	exit
	end if
	end if
	end do
	end function region_to_real_index

	@ %def region_to_real_index
	@ Final state emission: Rearrange the flavor array in such a way that
	the emitted particle is last and the emitter is second last. [[i1]] is
	the index of the emitter, [[i2]] is the index of the emitted particle.

	Initial state emission: Just put the emitted particle to the last
	position.
	<<fks regions: procedures>>=
	function create_alr (flv1, n_in, i_em, i_rad) result(flv2)
	type(flv_structure_t), intent(in) :: flv1
	integer, intent(in) :: n_in
	integer, intent(in) :: i_em, i_rad
	type(flv_structure_t) :: flv2
	integer :: n
	n = size (flv1%flst)
	allocate (flv2%flst (n), flv2%tag (n))
	flv2%nlegs = n
	flv2%n_in = n_in
	if (i_em > n_in) then
	flv2%flst(1 : n_in) = flv1%flst(1 : n_in)
	flv2%flst(n - 1) = flv1%flst(i_em)
	flv2%flst(n) = flv1%flst(i_rad)
	flv2%tag(1 : n_in) = flv1%tag(1 : n_in)
	flv2%tag(n - 1) = flv1%tag(i_em)
	flv2%tag(n) = flv1%tag(i_rad)
	call fill_remaining_flavors (n_in, .true.)
	else
	flv2%flst(1 : n_in) = flv1%flst(1 : n_in)
	flv2%flst(n) = flv1%flst(i_rad)
	flv2%tag(1 : n_in) = flv1%tag(1 : n_in)
	flv2%tag(n) = flv1%tag(i_rad)
	call fill_remaining_flavors (n_in, .false.)
	end if
	call flv2%compute_prt_symm_fs (flv2%n_in)
	contains
	@ Order remaining particles according to their original position
	<<fks regions: procedures>>=
	subroutine fill_remaining_flavors (n_in, final_final)
	integer, intent(in) :: n_in
	logical, intent(in) :: final_final
	integer :: i, j
	logical :: check
	j = n_in + 1
	do i = n_in + 1, n
	if (final_final) then
	check = (i /= i_em .and. i /= i_rad)
	else
	check = (i /= i_rad)
	end if
	if (check) then
	flv2%flst(j) = flv1%flst(i)
	flv2%tag(j) = flv1%tag(i)
	j = j + 1
	end if
	end do
	end subroutine fill_remaining_flavors
	end function create_alr

	@ %def create_alr
	@
	<<fks regions: reg data: TBP>>=
	procedure :: has_pseudo_isr => region_data_has_pseudo_isr
	<<fks regions: procedures>>=
	function region_data_has_pseudo_isr (reg_data) result (val)
	logical :: val
	class(region_data_t), intent(in) :: reg_data
	val = any (reg_data%regions%pseudo_isr)
	end function region_data_has_pseudo_isr

	@ %def region_data_has_pseudo_isr
	@ Performs consistency checks on [[region_data]]. Up to now only
	checks that no [[ftuple]] appears more than once.
	<<fks regions: reg data: TBP>>=
	procedure :: check_consistency => region_data_check_consistency
	<<fks regions: procedures>>=
	subroutine region_data_check_consistency (reg_data, fail_fatal, unit)
	class(region_data_t), intent(in) :: reg_data
	logical, intent(in) :: fail_fatal
	integer, intent(in), optional :: unit
	integer :: u
	integer :: i_reg, alr
	integer :: i1, f1, f2
	logical :: undefined_ftuples, same_ftuple_indices, valid_splitting
	logical, dimension(4) :: no_fail
	u = given_output_unit(unit); if (u < 0) return
	no_fail = .true.
	call msg_message ("Check that no negative ftuple indices occur", unit = u)
	do i_reg = 1, reg_data%n_regions
	if (any (reg_data%regions(i_reg)%ftuples%has_negative_elements ())) then
	!!! This error is so severe that we stop immediately
	call msg_fatal ("Negative ftuple indices!")
	end if
	end do
	call msg_message ("Success!", unit = u)
	call msg_message ("Check that there is no ftuple with identical elements", unit = u)
	do i_reg = 1, reg_data%n_regions
	if (any (reg_data%regions(i_reg)%ftuples%has_identical_elements ())) then
	!!! This error is so severe that we stop immediately
	call msg_fatal ("Identical ftuple indices!")
	end if
	end do
	call msg_message ("Success!", unit = u)
	call msg_message ("Check that there are no duplicate ftuples in a region", unit = u)
	do i_reg = 1, reg_data%n_regions
	if (reg_data%regions(i_reg)%has_identical_ftuples ()) then
	if (no_fail(1)) then
	call msg_error ("FAIL: ", unit = u)
	no_fail(1) = .false.
	end if
	write (u, '(A,1x,I3)') 'i_reg:', i_reg
	end if
	end do
	if (no_fail(1)) call msg_message ("Success!", unit = u)
	call msg_message ("Check that ftuples add up to a valid splitting", unit = u)
	do i_reg = 1, reg_data%n_regions
	do alr = 1, reg_data%regions(i_reg)%nregions
	associate (region => reg_data%regions(i_reg))
	i1 = region%ftuples(alr)%ireg(1)
	if (i1 == 0) i1 = 1 !!! Gluon emission from both initial-state particles
	f1 = region%flst_real%flst(i1)
	f2 = region%flst_real%flst(region%ftuples(alr)%ireg(2))
	! Flip PDG sign of IS fermions to allow a q -> g q splitting
	! in which the ftuple has the flavors (q,q).
	if (i1 <= reg_data%n_in .and. is_fermion(f1)) then
	f1 = -f1
	end if
	valid_splitting = f1 + f2 == 0 &
	.or. (is_gluon(f1) .and. is_gluon(f2)) &
	.or. (is_massive_vector(f1) .and. is_photon(f2)) &
	.or. is_fermion_vector_splitting (f1, f2)
	if (.not. valid_splitting) then
	if (no_fail(2)) then
	call msg_error ("FAIL: ", unit = u)
	no_fail(2) = .false.
	end if
	write (u, '(A,1x,I3)') 'i_reg:', i_reg
	exit
	end if
	end associate
	end do
	end do
	if (no_fail(2)) call msg_message ("Success!", unit = u)
	call msg_message ("Check that at least one ftuple contains the emitter", unit = u)
	do i_reg = 1, reg_data%n_regions
	associate (region => reg_data%regions(i_reg))
	if (.not. any (region%emitter == region%ftuples%ireg(1))) then
	if (no_fail(3)) then
	call msg_error ("FAIL: ", unit = u)
	no_fail(3) = .false.
	end if
	write (u, '(A,1x,I3)') 'i_reg:', i_reg
	end if
	end associate
	end do
	if (no_fail(3)) call msg_message ("Success!", unit = u)
	call msg_message ("Check that each region has at least one ftuple &
	&with index n + 1", unit = u)
	do i_reg = 1, reg_data%n_regions
	if (.not. any (reg_data%regions(i_reg)%ftuples%ireg(2) == reg_data%n_legs_real)) then
	if (no_fail(4)) then
	call msg_error ("FAIL: ", unit = u)
	no_fail(4) = .false.
	end if
	write (u, '(A,1x,I3)') 'i_reg:', i_reg
	end if
	end do
	if (no_fail(4)) call msg_message ("Success!", unit = u)
	if (.not. all (no_fail)) &
	call abort_with_message ("Stop due to inconsistent region data!")

	contains
	subroutine abort_with_message (msg)
	character(len=*), intent(in) :: msg
	if (fail_fatal) then
	call msg_fatal (msg)
	else
	call msg_error (msg, unit = u)
	end if
	end subroutine abort_with_message

	function is_fermion_vector_splitting (pdg_1, pdg_2) result (value)
	logical :: value
	integer, intent(in) :: pdg_1, pdg_2
	value = (is_fermion (pdg_1) .and. is_massless_vector (pdg_2)) .or. &
	(is_fermion (pdg_2) .and. is_massless_vector (pdg_1))
	end function
	end subroutine region_data_check_consistency

	@ %def region_data_check_consistency
	@
	<<fks regions: reg data: TBP>>=
	procedure :: requires_spin_correlations => region_data_requires_spin_correlations
	<<fks regions: procedures>>=
	function region_data_requires_spin_correlations (reg_data) result (val)
	class(region_data_t), intent(in) :: reg_data
	logical :: val
	integer :: alr
	val = .false.
	do alr = 1, reg_data%n_regions
	val = reg_data%regions(alr)%sc_required
	if (val) return
	end do
	end function region_data_requires_spin_correlations

	@ %def region_data_requires_spin_correlations
	@ We have to apply the symmetry factor for identical particles of the
	real flavor structure to the born squared matrix element. The corresponding
	factor from the born flavor structure has to be cancelled.
	<<fks regions: reg data: TBP>>=
	procedure :: born_to_real_symm_factor_fs => region_data_born_to_real_symm_factor_fs
	<<fks regions: procedures>>=
	function region_data_born_to_real_symm_factor_fs (reg_data, alr) result (factor)
	class(region_data_t), intent(in) :: reg_data
	integer, intent(in) :: alr
	real(default) :: factor
	associate (flv_real => reg_data%regions(alr)%flst_real, &
	flv_uborn => reg_data%regions(alr)%flst_uborn)
	factor = flv_real%prt_symm_fs / flv_uborn%prt_symm_fs
	end associate
	end function region_data_born_to_real_symm_factor_fs

	@ %def region_data_born_to_real_symm_factor_fs
	@
	<<fks regions: reg data: TBP>>=
	procedure :: final => region_data_final
	<<fks regions: procedures>>=
	subroutine region_data_final (reg_data)
	class(region_data_t), intent(inout) :: reg_data
	if (allocated (reg_data%regions)) deallocate (reg_data%regions)
	if (allocated (reg_data%flv_born)) deallocate (reg_data%flv_born)
	if (allocated (reg_data%flv_real)) deallocate (reg_data%flv_real)
	if (allocated (reg_data%emitters)) deallocate (reg_data%emitters)
	if (allocated (reg_data%fks_mapping)) deallocate (reg_data%fks_mapping)
	if (allocated (reg_data%resonances)) deallocate (reg_data%resonances)
	if (allocated (reg_data%alr_contributors)) deallocate (reg_data%alr_contributors)
	if (allocated (reg_data%alr_to_i_contributor)) deallocate (reg_data%alr_to_i_contributor)
	end subroutine region_data_final

	@ %def region_data_final
	@
	<<fks regions: fks mapping: TBP>>=
	procedure (fks_mapping_dij), deferred :: dij
	<<fks regions: interfaces>>=
	abstract interface
	function fks_mapping_dij (map, p, i, j, i_con) result (d)
	import
	real(default) :: d
	class(fks_mapping_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p
	integer, intent(in) :: i, j
	integer, intent(in), optional :: i_con
	end function fks_mapping_dij
	end interface

	@ %def fks_mapping_dij
	@
	<<fks regions: fks mapping: TBP>>=
	procedure (fks_mapping_compute_sumdij), deferred :: compute_sumdij
	<<fks regions: interfaces>>=
	abstract interface
	- subroutine fks_mapping_compute_sumdij (map, sregion, p)
	+ subroutine fks_mapping_compute_sumdij (map, sregion, p_real)
	import
	class(fks_mapping_t), intent(inout) :: map
	type(singular_region_t), intent(in) :: sregion
	- type(vector4_t), intent(in), dimension(:) :: p
	+ type(vector4_t), intent(in), dimension(:) :: p_real
	end subroutine fks_mapping_compute_sumdij
	end interface

	@ %def fks_mapping_compute_sumdij
	@
	<<fks regions: fks mapping: TBP>>=
	procedure (fks_mapping_svalue), deferred :: svalue
	<<fks regions: interfaces>>=
	abstract interface
	function fks_mapping_svalue (map, p, i, j, i_res) result (value)
	import
	real(default) :: value
	class(fks_mapping_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p
	integer, intent(in) :: i, j
	integer, intent(in), optional :: i_res
	end function fks_mapping_svalue
	end interface

	@ %def fks_mapping_svalue
	<<fks regions: fks mapping: TBP>>=
	procedure (fks_mapping_dij_soft), deferred :: dij_soft
	<<fks regions: interfaces>>=
	abstract interface
	function fks_mapping_dij_soft (map, p_born, p_soft, em, i_con) result (d)
	import
	real(default) :: d
	class(fks_mapping_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	integer, intent(in) :: em
	integer, intent(in), optional :: i_con
	end function fks_mapping_dij_soft
	end interface

	@ %def fks_mapping_dij_soft
	@
	<<fks regions: fks mapping: TBP>>=
	procedure (fks_mapping_compute_sumdij_soft), deferred :: compute_sumdij_soft
	<<fks regions: interfaces>>=
	abstract interface
	subroutine fks_mapping_compute_sumdij_soft (map, sregion, p_born, p_soft)
	import
	class(fks_mapping_t), intent(inout) :: map
	type(singular_region_t), intent(in) :: sregion
	type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	end subroutine fks_mapping_compute_sumdij_soft
	end interface
	@ %def fks_mapping_compute_sumdij_soft
	@
	<<fks regions: fks mapping: TBP>>=
	procedure (fks_mapping_svalue_soft), deferred :: svalue_soft
	<<fks regions: interfaces>>=
	abstract interface
	function fks_mapping_svalue_soft (map, p_born, p_soft, em, i_res) result (value)
	import
	real(default) :: value
	class(fks_mapping_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	integer, intent(in) :: em
	integer, intent(in), optional :: i_res
	end function fks_mapping_svalue_soft
	end interface

	@ %def fks_mapping_svalue_soft
	@
	<<fks regions: fks mapping default: TBP>>=
	procedure :: set_parameter => fks_mapping_default_set_parameter
	<<fks regions: procedures>>=
	subroutine fks_mapping_default_set_parameter (map, n_in, dij_exp1, dij_exp2)
	class(fks_mapping_default_t), intent(inout) :: map
	integer, intent(in) :: n_in
	real(default), intent(in) :: dij_exp1, dij_exp2
	map%n_in = n_in
	map%exp_1 = dij_exp1
	map%exp_2 = dij_exp2
	end subroutine fks_mapping_default_set_parameter

	@ %def fks_mapping_default_set_parameter
	@ Computes the $d_{ij}$-quantities defined als follows:
	\begin{align*}
	- d_{0i} &= \left[E_i^2\left(1-y_i\right)\right]^{p_1}\\,
	- d_{1i} &= \left[2E_i^2\left(1-y_i\right)\right]^{p_1}\\,
	- d_{2i} &= \left[2E_i^2\left(1+y_i\right)\right]^{p_1}\\,
	+ d_{0i} &= \left[E_i^2\left(1-y_i\right)\right]^{p_2}\\,
	+ d_{1i} &= \left[2E_i^2\left(1-y_i\right)\right]^{p_2}\\,
	+ d_{2i} &= \left[2E_i^2\left(1+y_i\right)\right]^{p_2}\\,
	\end{align*}
	for initial state regions and
	\begin{align*}
	- d_{ij} = \left[2(k_i \cdot k_j) \frac{E_i E_j}{(E_i+E_j)^2}\right]^{p_2}
	+ d_{ij} = \left[2(k_i \cdot k_j) \frac{E_i E_j}{(E_i+E_j)^2}\right]^{p_1}
	\end{align*}
	-for final state regions. The exponents $p_1$ and $p_2$ can be used for
	+for final state regions, c.f. [1002.2581, Eq. 4.23f].
	+The exponents $p_1$ and $p_2$ can be used for
	tuning the efficiency of the mapping and are set to $1$ per default.
	<<fks regions: fks mapping default: TBP>>=
	procedure :: dij => fks_mapping_default_dij
	<<fks regions: procedures>>=
	function fks_mapping_default_dij (map, p, i, j, i_con) result (d)
	real(default) :: d
	class(fks_mapping_default_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p
	integer, intent(in) :: i, j
	integer, intent(in), optional :: i_con
	d = zero
	if (map%pseudo_isr) then
	d = dij_threshold_gluon_from_top (i, j, p, map%exp_1)
	else if (i > map%n_in .and. j > map%n_in) then
	d = dij_fsr (p(i), p(j), map%exp_1)
	else
	d = dij_isr (map%n_in, i, j, p, map%exp_2)
	end if
	contains

	function dij_fsr (p1, p2, expo) result (d_ij)
	real(default) :: d_ij
	type(vector4_t), intent(in) :: p1, p2
	real(default), intent(in) :: expo
	real(default) :: E1, E2
	E1 = p1%p(0); E2 = p2%p(0)
	d_ij = (two * p1 * p2 * E1 * E2 / (E1 + E2)2)expo
	end function dij_fsr

	function dij_threshold_gluon_from_top (i, j, p, expo) result (d_ij)
	real(default) :: d_ij
	integer, intent(in) :: i, j
	type(vector4_t), intent(in), dimension(:) :: p
	real(default), intent(in) :: expo
	type(vector4_t) :: p_top
	if (i == THR_POS_B) then
	p_top = p(THR_POS_WP) + p(THR_POS_B)
	else
	p_top = p(THR_POS_WM) + p(THR_POS_BBAR)
	end if
	d_ij = dij_fsr (p_top, p(j), expo)
	end function dij_threshold_gluon_from_top

	function dij_isr (n_in, i, j, p, expo) result (d_ij)
	real(default) :: d_ij
	integer, intent(in) :: n_in, i, j
	type(vector4_t), intent(in), dimension(:) :: p
	real(default), intent(in) :: expo
	real(default) :: E, y
	select case (n_in)
	case (1)
	call get_emitter_variables (1, i, j, p, E, y)
	d_ij = (E*2 (one - y2))expo
	case (2)
	if ((i == 0 .and. j > 2) .or. (j == 0 .and. i > 2)) then
	call get_emitter_variables (0, i, j, p, E, y)
	d_ij = (E*2 (one - y2))expo
	else if ((i == 1 .and. j > 2) .or. (j == 1 .and. i > 2)) then
	call get_emitter_variables (1, i, j, p, E, y)
	d_ij = (two * E*2 (one - y))**expo
	else if ((i == 2 .and. j > 2) .or. (j == 2 .and. i > 2)) then
	call get_emitter_variables (2, i, j, p, E, y)
	d_ij = (two * E*2 (one + y))**expo
	end if
	end select
	end function dij_isr

	subroutine get_emitter_variables (i_check, i, j, p, E, y)
	integer, intent(in) :: i_check, i, j
	type(vector4_t), intent(in), dimension(:) :: p
	real(default), intent(out) :: E, y
	if (j == i_check) then
	E = energy (p(i))
	y = polar_angle_ct (p(i))
	else
	E = energy (p(j))
	y = polar_angle_ct(p(j))
	end if
	end subroutine get_emitter_variables

	end function fks_mapping_default_dij

	@ %def fks_mapping_default_dij
	@ Computes the quantity
	\begin{equation*}
	\mathcal{D} = \sum_k \frac{1}{d_{0k}} + \sum_{kl} \frac{1}{d_{kl}}.
	\end{equation*}
	+where the sum goes over all ftuples of a single singular region.
	<<fks regions: fks mapping default: TBP>>=
	procedure :: compute_sumdij => fks_mapping_default_compute_sumdij
	<<fks regions: procedures>>=
	- subroutine fks_mapping_default_compute_sumdij (map, sregion, p)
	+ subroutine fks_mapping_default_compute_sumdij (map, sregion, p_real)
	class(fks_mapping_default_t), intent(inout) :: map
	type(singular_region_t), intent(in) :: sregion
	- type(vector4_t), intent(in), dimension(:) :: p
	+ type(vector4_t), intent(in), dimension(:) :: p_real
	real(default) :: d
	- integer :: alr, i, j
	+ integer :: i_ftuple, i, j

	associate (ftuples => sregion%ftuples)
	d = zero
	- do alr = 1, sregion%nregions
	- call ftuples(alr)%get (i, j)
	- map%pseudo_isr = ftuples(alr)%pseudo_isr
	- d = d + one / map%dij (p, i, j)
	+ do i_ftuple = 1, sregion%nregions
	+ call ftuples(i_ftuple)%get (i, j)
	+ map%pseudo_isr = ftuples(i_ftuple)%pseudo_isr
	+ d = d + one / map%dij (p_real, i, j)
	end do
	end associate
	map%sumdij = d
	end subroutine fks_mapping_default_compute_sumdij

	@ %def fks_mapping_default_compute_sumdij
	@ Computes
	\begin{equation*}
	S_i = \frac{1}{\mathcal{D} d_{0i}}
	\end{equation*}
	or
	\begin{equation*}
	S_{ij} = \frac{1}{\mathcal{D} d_{ij}},
	\end{equation*}
	respectively.
	<<fks regions: fks mapping default: TBP>>=
	procedure :: svalue => fks_mapping_default_svalue
	<<fks regions: procedures>>=
	function fks_mapping_default_svalue (map, p, i, j, i_res) result (value)
	real(default) :: value
	class(fks_mapping_default_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p
	integer, intent(in) :: i, j
	integer, intent(in), optional :: i_res
	value = one / (map%dij (p, i, j) * map%sumdij)
	end function fks_mapping_default_svalue

	@ %def fks_mapping_default_svalue
	@ In the soft limit, our treatment of the divergencies requires a
	modification of the mapping functions. Recall that there, the ratios of
	the $d$-functions must approach either $1$ or $0$. This means
	\begin{equation*}
	\frac{d_{lm}}{d_{0m}} = \frac{(2k_l \cdot k_m) \left[E_lE_m /(E_l + E_m)^2\right]}{E_m^2 (1-y^2)}
	\overset {k_m = E_m \hat{k}} {=} \frac{E_l E_m^2}{(E_l + E_m)^2} \frac{2k_l \cdot \hat{k}}{E_m^2 (1-y^2)}
	\overset {E_m \to 0}{=} \frac{2k_l \cdot \hat{k}}{E_l}{(1-y^2)},
	\end{equation*}
	where we have written the gluon momentum in terms of the soft momentum
	$\hat{k}$. In the same limit
	\begin{equation*}
	\frac{d_{lm}}{d_{nm}} = \frac{k_l \cdot \hat{k}}{k_n \cdot \hat{k}} \frac{E_n}{E_l}.
	\end{equation*}
	From these equations we can deduce the soft limit of $d$:
	\begin{align*}
	d_0^{\rm{soft}} &= 1 - y^2,\\
	d_1^{\rm{soft}} &= 2(1-y),\\
	d_2^{\rm{soft}} &= 2(1+y),\\
	d_i^{\rm{soft}} &= \frac{2 k_i \cdot \hat{k}}{E_i}.
	\end{align*}
	<<fks regions: fks mapping default: TBP>>=
	procedure :: dij_soft => fks_mapping_default_dij_soft
	<<fks regions: procedures>>=
	function fks_mapping_default_dij_soft (map, p_born, p_soft, em, i_con) result (d)
	real(default) :: d
	class(fks_mapping_default_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	integer, intent(in) :: em
	integer, intent(in), optional :: i_con
	if (map%pseudo_isr) then
	d = dij_soft_threshold_gluon_from_top (em, p_born, p_soft, map%exp_1)
	else if (em <= map%n_in) then
	d = dij_soft_isr (map%n_in, p_soft, map%exp_2)
	else
	d = dij_soft_fsr (p_born(em), p_soft, map%exp_1)
	end if
	contains

	- function dij_soft_threshold_gluon_from_top (em, p, p_soft, expo) result (dij_soft)
	+ function dij_soft_threshold_gluon_from_top (em, p_born, p_soft, expo) result (dij_soft)
	real(default) :: dij_soft
	integer, intent(in) :: em
	- type(vector4_t), intent(in), dimension(:) :: p
	+ type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	real(default), intent(in) :: expo
	type(vector4_t) :: p_top
	if (em == THR_POS_B) then
	- p_top = p(THR_POS_WP) + p(THR_POS_B)
	+ p_top = p_born(THR_POS_WP) + p_born(THR_POS_B)
	else
	- p_top = p(THR_POS_WM) + p(THR_POS_BBAR)
	+ p_top = p_born(THR_POS_WM) + p_born(THR_POS_BBAR)
	end if
	dij_soft = dij_soft_fsr (p_top, p_soft, expo)
	end function dij_soft_threshold_gluon_from_top

	function dij_soft_fsr (p_em, p_soft, expo) result (dij_soft)
	real(default) :: dij_soft
	type(vector4_t), intent(in) :: p_em, p_soft
	real(default), intent(in) :: expo
	dij_soft = (two * p_em * p_soft / p_em%p(0))**expo
	end function dij_soft_fsr

	function dij_soft_isr (n_in, p_soft, expo) result (dij_soft)
	real(default) :: dij_soft
	integer, intent(in) :: n_in
	type(vector4_t), intent(in) :: p_soft
	real(default), intent(in) :: expo
	real(default) :: y
	y = polar_angle_ct (p_soft)
	select case (n_in)
	case (1)
	dij_soft = one - y**2
	case (2)
	select case (em)
	case (0)
	dij_soft = one - y**2
	case (1)
	dij_soft = two * (one - y)
	case (2)
	dij_soft = two * (one + y)
	case default
	dij_soft = zero
	call msg_fatal ("fks_mappings_default_dij_soft: n_in > 2")
	end select
	case default
	dij_soft = zero
	call msg_fatal ("fks_mappings_default_dij_soft: n_in > 2")
	end select
	dij_soft = dij_soft**expo
	end function dij_soft_isr
	end function fks_mapping_default_dij_soft

	@ %def fks_mapping_default_dij_soft
	-@
	+@ Computes the sum of all soft [[dij]]s required to normalize the soft S functions
	+[[s_alpha_soft]] similar to [[fks_mapping_default_compute_sumdij]].
	+In the soft limit however, we need to skip all ftuples $(i,j)$ in which $j$ does
	+not correspond to the emitted particle because those $d_{ij}$s are finite and thus
	+their contribution to the soft S function vanishes in the limit of soft radiation.
	+Technically, they would not vanish if computed here because the fixed [[p_soft]]
	+at this point would not fit their actual emitter.
	<<fks regions: fks mapping default: TBP>>=
	procedure :: compute_sumdij_soft => fks_mapping_default_compute_sumdij_soft
	<<fks regions: procedures>>=
	subroutine fks_mapping_default_compute_sumdij_soft (map, sregion, p_born, p_soft)
	class(fks_mapping_default_t), intent(inout) :: map
	type(singular_region_t), intent(in) :: sregion
	type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	real(default) :: d
	- integer :: alr, i, j
	+ integer :: i_ftuple, i, j
	integer :: nlegs
	d = zero
	nlegs = size (sregion%flst_real%flst)
	associate (ftuples => sregion%ftuples)
	- do alr = 1, sregion%nregions
	- call ftuples(alr)%get (i ,j)
	+ do i_ftuple = 1, sregion%nregions
	+ call ftuples(i_ftuple)%get (i ,j)
	if (j == nlegs) then
	- map%pseudo_isr = ftuples(alr)%pseudo_isr
	+ map%pseudo_isr = ftuples(i_ftuple)%pseudo_isr
	d = d + one / map%dij_soft (p_born, p_soft, i)
	end if
	end do
	end associate
	map%sumdij_soft = d
	end subroutine fks_mapping_default_compute_sumdij_soft

	@ %def fks_mapping_default_compute_sumdij_soft
	@
	<<fks regions: fks mapping default: TBP>>=
	procedure :: svalue_soft => fks_mapping_default_svalue_soft
	<<fks regions: procedures>>=
	function fks_mapping_default_svalue_soft (map, p_born, p_soft, em, i_res) result (value)
	real(default) :: value
	class(fks_mapping_default_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	integer, intent(in) :: em
	integer, intent(in), optional :: i_res
	value = one / (map%sumdij_soft * map%dij_soft (p_born, p_soft, em))
	end function fks_mapping_default_svalue_soft

	@ %def fks_mapping_default_svalue_soft
	@
	<<fks regions: interfaces>>=
	interface assignment(=)
	module procedure fks_mapping_default_assign
	end interface

	<<fks regions: procedures>>=
	subroutine fks_mapping_default_assign (fks_map_out, fks_map_in)
	type(fks_mapping_default_t), intent(out) :: fks_map_out
	type(fks_mapping_default_t), intent(in) :: fks_map_in
	fks_map_out%exp_1 = fks_map_in%exp_1
	fks_map_out%exp_2 = fks_map_in%exp_2
	fks_map_out%n_in = fks_map_in%n_in
	end subroutine fks_mapping_default_assign

	@ %def fks_mapping_default_assign
	@ The $d_{ij,k}$-functions for the resonance mapping are basically the same
	as in the default case, but the kinematical values here must be evaluated
	in the resonance frame of reference. The energy of parton $i$ in a given
	resonance frame with momentum $p_{res}$ is
	\begin{equation*}
	E_i = \frac{p_i^0 \cdot p_{res}}{m_{res}}.
	\end{equation*}
	However, since the expressions only depend on ratios of four-momenta, we
	leave out the denominator because it will cancel out anyway.
	<<fks regions: fks mapping resonances: TBP>>=
	procedure :: dij => fks_mapping_resonances_dij
	<<fks regions: procedures>>=
	function fks_mapping_resonances_dij (map, p, i, j, i_con) result (d)
	real(default) :: d
	class(fks_mapping_resonances_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p
	integer, intent(in) :: i, j
	integer, intent(in), optional :: i_con
	real(default) :: E1, E2
	integer :: ii_con
	if (present (i_con)) then
	ii_con = i_con
	else
	call msg_fatal ("Resonance mappings require resonance index as input!")
	end if
	d = 0
	if (i /= j) then
	if (i > 2 .and. j > 2) then
	associate (p_res => map%res_map%p_res (ii_con))
	E1 = p(i) * p_res
	E2 = p(j) * p_res
	d = two * p(i) * p(j) * E1 * E2 / (E1 + E2)**2
	end associate
	else
	call msg_fatal ("Resonance mappings are not implemented for ISR")
	end if
	end if
	end function fks_mapping_resonances_dij

	@ %def fks_mapping_resonances_dij
	@ Computes
	\begin{equation*}
	S_\alpha = \frac{P^{f_r(\alpha)}d^{-1}(\alpha)}
	{\sum_{f_r' \in T(F_r(\alpha))}P^{f_r'}\sum_{\alpha' \in Sr(f_r')}d^{-1}(\alpha)}.
	\end{equation*}
	<<fks regions: fks mapping resonances: TBP>>=
	procedure :: compute_sumdij => fks_mapping_resonances_compute_sumdij
	<<fks regions: procedures>>=
	- subroutine fks_mapping_resonances_compute_sumdij (map, sregion, p)
	+ subroutine fks_mapping_resonances_compute_sumdij (map, sregion, p_real)
	class(fks_mapping_resonances_t), intent(inout) :: map
	type(singular_region_t), intent(in) :: sregion
	- type(vector4_t), intent(in), dimension(:) :: p
	+ type(vector4_t), intent(in), dimension(:) :: p_real
	real(default) :: d, pfr
	integer :: i_res, i_reg, i, j, i_con
	integer :: nlegreal

	- nlegreal = size (p)
	+ nlegreal = size (p_real)
	d = zero
	do i_reg = 1, sregion%nregions
	associate (ftuple => sregion%ftuples(i_reg))
	call ftuple%get (i, j)
	i_res = ftuple%i_res
	end associate
	- pfr = map%res_map%get_resonance_value (i_res, p, nlegreal)
	+ pfr = map%res_map%get_resonance_value (i_res, p_real, nlegreal)
	i_con = sregion%i_reg_to_i_con (i_reg)
	- d = d + pfr / map%dij (p, i, j, i_con)
	+ d = d + pfr / map%dij (p_real, i, j, i_con)
	end do
	map%sumdij = d
	end subroutine fks_mapping_resonances_compute_sumdij

	@ %def fks_mapping_resonances_compute_sumdij
	@
	<<fks regions: fks mapping resonances: TBP>>=
	procedure :: svalue => fks_mapping_resonances_svalue
	<<fks regions: procedures>>=
	function fks_mapping_resonances_svalue (map, p, i, j, i_res) result (value)
	real(default) :: value
	class(fks_mapping_resonances_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p
	integer, intent(in) :: i, j
	integer, intent(in), optional :: i_res
	real(default) :: pfr
	integer :: i_gluon
	i_gluon = size (p)
	pfr = map%res_map%get_resonance_value (i_res, p, i_gluon)
	value = pfr / (map%dij (p, i, j, map%i_con) * map%sumdij)
	end function fks_mapping_resonances_svalue

	@ %def fks_mapping_resonances_svalue
	@
	<<fks regions: fks mapping resonances: TBP>>=
	procedure :: get_resonance_weight => fks_mapping_resonances_get_resonance_weight
	<<fks regions: procedures>>=
	function fks_mapping_resonances_get_resonance_weight (map, alr, p) result (pfr)
	real(default) :: pfr
	class(fks_mapping_resonances_t), intent(in) :: map
	integer, intent(in) :: alr
	type(vector4_t), intent(in), dimension(:) :: p
	pfr = map%res_map%get_weight (alr, p)
	end function fks_mapping_resonances_get_resonance_weight

	@ %def fks_mapping_resonances_get_resonance_weight
	@ As above, the soft limit of $d_{ij,k}$ must be computed in the resonance frame of
	reference.
	<<fks regions: fks mapping resonances: TBP>>=
	procedure :: dij_soft => fks_mapping_resonances_dij_soft
	<<fks regions: procedures>>=
	function fks_mapping_resonances_dij_soft (map, p_born, p_soft, em, i_con) result (d)
	real(default) :: d
	class(fks_mapping_resonances_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	integer, intent(in) :: em
	integer, intent(in), optional :: i_con
	real(default) :: E1, E2
	integer :: ii_con
	type(vector4_t) :: pb
	if (present (i_con)) then
	ii_con = i_con
	else
	call msg_fatal ("fks_mapping_resonances requires resonance index")
	end if
	associate (p_res => map%res_map%p_res(ii_con))
	pb = p_born(em)
	E1 = pb * p_res
	E2 = p_soft * p_res
	d = two * pb * p_soft * E1 * E2 / E1**2
	end associate
	end function fks_mapping_resonances_dij_soft

	@ %def fks_mapping_resonances_dij_soft
	@
	<<fks regions: fks mapping resonances: TBP>>=
	procedure :: compute_sumdij_soft => fks_mapping_resonances_compute_sumdij_soft
	<<fks regions: procedures>>=
	subroutine fks_mapping_resonances_compute_sumdij_soft (map, sregion, p_born, p_soft)
	class(fks_mapping_resonances_t), intent(inout) :: map
	type(singular_region_t), intent(in) :: sregion
	type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	real(default) :: d
	real(default) :: pfr
	integer :: i_res, i, j, i_reg, i_con
	integer :: nlegs

	d = zero
	nlegs = size (sregion%flst_real%flst)
	do i_reg = 1, sregion%nregions
	associate (ftuple => sregion%ftuples(i_reg))
	call ftuple%get(i, j)
	i_res = ftuple%i_res
	end associate
	pfr = map%res_map%get_resonance_value (i_res, p_born)
	i_con = sregion%i_reg_to_i_con (i_reg)
	if (j == nlegs) d = d + pfr / map%dij_soft (p_born, p_soft, i, i_con)
	end do
	map%sumdij_soft = d
	end subroutine fks_mapping_resonances_compute_sumdij_soft

	@ %def fks_mapping_resonances_compute_sumdij_soft
	@
	<<fks regions: fks mapping resonances: TBP>>=
	procedure :: svalue_soft => fks_mapping_resonances_svalue_soft
	<<fks regions: procedures>>=
	function fks_mapping_resonances_svalue_soft (map, p_born, p_soft, em, i_res) result (value)
	real(default) :: value
	class(fks_mapping_resonances_t), intent(in) :: map
	type(vector4_t), intent(in), dimension(:) :: p_born
	type(vector4_t), intent(in) :: p_soft
	integer, intent(in) :: em
	integer, intent(in), optional :: i_res
	real(default) :: pfr
	pfr = map%res_map%get_resonance_value (i_res, p_born)
	value = pfr / (map%sumdij_soft * map%dij_soft (p_born, p_soft, em, map%i_con))
	end function fks_mapping_resonances_svalue_soft

	@ %def fks_mapping_resonances_svalue_soft
	@
	<<fks regions: fks mapping resonances: TBP>>=
	procedure :: set_resonance_momentum => fks_mapping_resonances_set_resonance_momentum
	<<fks regions: procedures>>=
	subroutine fks_mapping_resonances_set_resonance_momentum (map, p)
	class(fks_mapping_resonances_t), intent(inout) :: map
	type(vector4_t), intent(in) :: p
	map%res_map%p_res = p
	end subroutine fks_mapping_resonances_set_resonance_momentum

	@ %def fks_mapping_resonances_set_resonance_momentum
	@
	<<fks regions: fks mapping resonances: TBP>>=
	procedure :: set_resonance_momenta => fks_mapping_resonances_set_resonance_momenta
	<<fks regions: procedures>>=
	subroutine fks_mapping_resonances_set_resonance_momenta (map, p)
	class(fks_mapping_resonances_t), intent(inout) :: map
	type(vector4_t), intent(in), dimension(:) :: p
	map%res_map%p_res = p
	end subroutine fks_mapping_resonances_set_resonance_momenta

	@ %def fks_mapping_resonances_set_resonance_momenta
	@
	<<fks regions: interfaces>>=
	interface assignment(=)
	module procedure fks_mapping_resonances_assign
	end interface

	<<fks regions: procedures>>=
	subroutine fks_mapping_resonances_assign (fks_map_out, fks_map_in)
	type(fks_mapping_resonances_t), intent(out) :: fks_map_out
	type(fks_mapping_resonances_t), intent(in) :: fks_map_in
	fks_map_out%exp_1 = fks_map_in%exp_1
	fks_map_out%exp_2 = fks_map_in%exp_2
	fks_map_out%res_map = fks_map_in%res_map
	end subroutine fks_mapping_resonances_assign

	@ %def fks_mapping_resonances_assign
	@
	<<fks regions: public>>=
	public :: create_resonance_histories_for_threshold
	<<fks regions: procedures>>=
	function create_resonance_histories_for_threshold () result (res_history)
	type(resonance_history_t) :: res_history
	res_history%n_resonances = 2
	allocate (res_history%resonances (2))
	allocate (res_history%resonances(1)%contributors%c(2))
	allocate (res_history%resonances(2)%contributors%c(2))
	res_history%resonances(1)%contributors%c = [THR_POS_WP, THR_POS_B]
	res_history%resonances(2)%contributors%c = [THR_POS_WM, THR_POS_BBAR]
	end function create_resonance_histories_for_threshold

	@ %def create_resonance_histories_for_threshold
	@
	<<fks regions: public>>=
	public :: setup_region_data_for_test
	<<fks regions: procedures>>=
	subroutine setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, nlo_corr_type)
	integer, intent(in) :: n_in
	integer, intent(in), dimension(:,:) :: flv_born, flv_real
	type(string_t), intent(in) :: nlo_corr_type
	type(region_data_t), intent(out) :: reg_data
	type(model_t), pointer :: test_model => null ()
	call create_test_model (var_str ("SM"), test_model)
	call test_model%set_real (var_str ("me"), 0._default)
	call test_model%set_real (var_str ("mmu"), 0._default)
	call test_model%set_real (var_str ("mtau"), 0._default)
	call test_model%set_real (var_str ("ms"), 0._default)
	call test_model%set_real (var_str ("mc"), 0._default)
	call test_model%set_real (var_str ("mb"), 0._default)
	call reg_data%init (n_in, test_model, flv_born, flv_real, nlo_corr_type)
	end subroutine setup_region_data_for_test

	@ %def setup_region_data_for_test
	@
	\clearpage
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\subsection{Unit tests}
	\clearpage
	<<[[fks_regions_ut.f90]]>>=
	<<File header>>

	module fks_regions_ut
	use unit_tests
	use fks_regions_uti

	<<Standard module head>>

	<<fks regions: public test>>

	contains

	<<fks regions: test driver>>

	end module fks_regions_ut
	@ %def fks_regions_ut
	@
	<<[[fks_regions_uti.f90]]>>=
	<<File header>>

	module fks_regions_uti

	<<Use strings>>
	use format_utils, only: write_separator
	use os_interface
	use models

	use fks_regions

	<<Standard module head>>

	<<fks regions: test declarations>>

	contains

	<<fks regions: tests>>

	end module fks_regions_uti
	@ %def fks_regions_uti
	@
	<<fks regions: public test>>=
	public :: fks_regions_test
	<<fks regions: test driver>>=
	subroutine fks_regions_test (u, results)
	integer, intent(in) :: u
	type(test_results_t), intent(inout) :: results
	call test(fks_regions_1, "fks_regions_1", &
	"Test flavor structure utilities", u, results)
	call test(fks_regions_2, "fks_regions_2", &
	"Test singular regions for final-state radiation for n = 2", &
	u, results)
	call test(fks_regions_3, "fks_regions_3", &
	"Test singular regions for final-state radiation for n = 3", &
	u, results)
	call test(fks_regions_4, "fks_regions_4", &
	"Test singular regions for final-state radiation for n = 4", &
	u, results)
	call test(fks_regions_5, "fks_regions_5", &
	"Test singular regions for final-state radiation for n = 5", &
	u, results)
	call test(fks_regions_6, "fks_regions_6", &
	"Test singular regions for initial-state radiation", &
	u, results)
	call test(fks_regions_7, "fks_regions_7", &
	"Check Latex output", u, results)
	call test(fks_regions_8, "fks_regions_8", &
	"Test singular regions for initial-state photon contributions", &
	u, results)
	end subroutine fks_regions_test

	@ %def fks_regions_test
	@
	<<fks regions: test declarations>>=
	public :: fks_regions_1
	<<fks regions: tests>>=
	subroutine fks_regions_1 (u)
	integer, intent(in) :: u
	type(flv_structure_t) :: flv_born, flv_real
	type(model_t), pointer :: test_model => null ()
	write (u, "(A)") "* Test output: fks_regions_1"
	write (u, "(A)") "* Purpose: Test utilities of flavor structure manipulation"
	write (u, "(A)")

	call create_test_model (var_str ("SM"), test_model)

	flv_born = [11, -11, 2, -2]
	flv_real = [11, -11, 2, -2, 21]
	flv_born%n_in = 2; flv_real%n_in = 2
	write (u, "(A)") "* Valid splittings of ee -> uu"
	write (u, "(A)") "Born Flavors: "
	call flv_born%write (u)
	write (u, "(A)") "Real Flavors: "
	call flv_real%write (u)
	write (u, "(A,L1)") "3, 4 (2, -2) : ", flv_real%valid_pair (3, 4, flv_born, test_model)
	write (u, "(A,L1)") "4, 3 (-2, 2) : ", flv_real%valid_pair (4, 3, flv_born, test_model)
	write (u, "(A,L1)") "3, 5 (2, 21) : ", flv_real%valid_pair (3, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 3 (21, 2) : ", flv_real%valid_pair (5, 3, flv_born, test_model)
	write (u, "(A,L1)") "4, 5 (-2, 21): ", flv_real%valid_pair (4, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 4 (21, -2): ", flv_real%valid_pair (5, 4, flv_born, test_model)
	call write_separator (u)

	call flv_born%final ()
	call flv_real%final ()

	flv_born = [2, -2, 11, -11]
	flv_real = [2, -2, 11, -11, 21]
	flv_born%n_in = 2; flv_real%n_in = 2
	write (u, "(A)") "* Valid splittings of uu -> ee"
	write (u, "(A)") "Born Flavors: "
	call flv_born%write (u)
	write (u, "(A)") "Real Flavors: "
	call flv_real%write (u)
	write (u, "(A,L1)") "1, 2 (2, -2) : " , flv_real%valid_pair (1, 2, flv_born, test_model)
	write (u, "(A,L1)") "2, 1 (-2, 2) : " , flv_real%valid_pair (2, 1, flv_born, test_model)
	write (u, "(A,L1)") "5, 2 (21, -2): " , flv_real%valid_pair (5, 2, flv_born, test_model)
	write (u, "(A,L1)") "2, 5 (-2, 21): " , flv_real%valid_pair (2, 5, flv_born, test_model)
	write (u, "(A,L1)") "1, 5 (21, 2) : " , flv_real%valid_pair (5, 1, flv_born, test_model)
	write (u, "(A,L1)") "5, 1 (2, 21) : " , flv_real%valid_pair (1, 5, flv_born, test_model)
	call flv_real%final ()
	flv_real = [21, -2, 11, -11, -2]
	flv_real%n_in = 2
	write (u, "(A)") "Real Flavors: "
	call flv_real%write (u)
	write (u, "(A,L1)") "1, 2 (21, -2): " , flv_real%valid_pair (1, 2, flv_born, test_model)
	write (u, "(A,L1)") "2, 1 (-2, 21): " , flv_real%valid_pair (2, 1, flv_born, test_model)
	write (u, "(A,L1)") "5, 2 (-2, -2): " , flv_real%valid_pair (5, 2, flv_born, test_model)
	write (u, "(A,L1)") "2, 5 (-2, -2): " , flv_real%valid_pair (2, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 1 (-2, 21): " , flv_real%valid_pair (5, 1, flv_born, test_model)
	write (u, "(A,L1)") "1, 5 (21, -2): " , flv_real%valid_pair (1, 5, flv_born, test_model)
	call flv_real%final ()
	flv_real = [2, 21, 11, -11, 2]
	flv_real%n_in = 2
	write (u, "(A)") "Real Flavors: "
	call flv_real%write (u)
	write (u, "(A,L1)") "1, 2 (2, 21) : " , flv_real%valid_pair (1, 2, flv_born, test_model)
	write (u, "(A,L1)") "2, 1 (21, 2) : " , flv_real%valid_pair (2, 1, flv_born, test_model)
	write (u, "(A,L1)") "5, 2 (2, 21) : " , flv_real%valid_pair (5, 2, flv_born, test_model)
	write (u, "(A,L1)") "2, 5 (21, 2) : " , flv_real%valid_pair (2, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 1 (2, 2) : " , flv_real%valid_pair (5, 1, flv_born, test_model)
	write (u, "(A,L1)") "1, 5 (2, 2) : " , flv_real%valid_pair (1, 5, flv_born, test_model)
	call write_separator (u)

	call flv_born%final ()
	call flv_real%final ()

	flv_born = [11, -11, 2, -2, 21]
	flv_real = [11, -11, 2, -2, 21, 21]
	flv_born%n_in = 2; flv_real%n_in = 2
	write (u, "(A)") "* Valid splittings of ee -> uug"
	write (u, "(A)") "Born Flavors: "
	call flv_born%write (u)
	write (u, "(A)") "Real Flavors: "
	call flv_real%write (u)
	write (u, "(A,L1)") "3, 4 (2, -2) : " , flv_real%valid_pair (3, 4, flv_born, test_model)
	write (u, "(A,L1)") "4, 3 (-2, 2) : " , flv_real%valid_pair (4, 3, flv_born, test_model)
	write (u, "(A,L1)") "3, 5 (2, 21) : " , flv_real%valid_pair (3, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 3 (21, 2) : " , flv_real%valid_pair (5, 3, flv_born, test_model)
	write (u, "(A,L1)") "4, 5 (-2, 21): " , flv_real%valid_pair (4, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 4 (21, -2): " , flv_real%valid_pair (5, 4, flv_born, test_model)
	write (u, "(A,L1)") "3, 6 (2, 21) : " , flv_real%valid_pair (3, 6, flv_born, test_model)
	write (u, "(A,L1)") "6, 3 (21, 2) : " , flv_real%valid_pair (6, 3, flv_born, test_model)
	write (u, "(A,L1)") "4, 6 (-2, 21): " , flv_real%valid_pair (4, 6, flv_born, test_model)
	write (u, "(A,L1)") "6, 4 (21, -2): " , flv_real%valid_pair (6, 4, flv_born, test_model)
	write (u, "(A,L1)") "5, 6 (21, 21): " , flv_real%valid_pair (5, 6, flv_born, test_model)
	write (u, "(A,L1)") "6, 5 (21, 21): " , flv_real%valid_pair (6, 5, flv_born, test_model)
	call flv_real%final ()
	flv_real = [11, -11, 2, -2, 1, -1]
	flv_real%n_in = 2
	write (u, "(A)") "Real Flavors (exemplary g -> dd splitting): "
	call flv_real%write (u)
	write (u, "(A,L1)") "3, 4 (2, -2) : " , flv_real%valid_pair (3, 4, flv_born, test_model)
	write (u, "(A,L1)") "4, 3 (-2, 2) : " , flv_real%valid_pair (4, 3, flv_born, test_model)
	write (u, "(A,L1)") "3, 5 (2, 1) : " , flv_real%valid_pair (3, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 3 (1, 2) : " , flv_real%valid_pair (5, 3, flv_born, test_model)
	write (u, "(A,L1)") "4, 5 (-2, 1) : " , flv_real%valid_pair (4, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 4 (1, -2) : " , flv_real%valid_pair (5, 4, flv_born, test_model)
	write (u, "(A,L1)") "3, 6 (2, -1) : " , flv_real%valid_pair (3, 6, flv_born, test_model)
	write (u, "(A,L1)") "6, 3 (-1, 2) : " , flv_real%valid_pair (6, 3, flv_born, test_model)
	write (u, "(A,L1)") "4, 6 (-2, -1): " , flv_real%valid_pair (4, 6, flv_born, test_model)
	write (u, "(A,L1)") "6, 4 (-1, -2): " , flv_real%valid_pair (6, 4, flv_born, test_model)
	write (u, "(A,L1)") "5, 6 (1, -1) : " , flv_real%valid_pair (5, 6, flv_born, test_model)
	write (u, "(A,L1)") "6, 5 (-1, 1) : " , flv_real%valid_pair (6, 5, flv_born, test_model)
	call write_separator (u)

	call flv_born%final ()
	call flv_real%final ()

	flv_born = [6, -5, 2, -1 ]
	flv_real = [6, -5, 2, -1, 21]
	flv_born%n_in = 1; flv_real%n_in = 1
	write (u, "(A)") "* Valid splittings of t -> b u d~"
	write (u, "(A)") "Born Flavors: "
	call flv_born%write (u)
	write (u, "(A)") "Real Flavors: "
	call flv_real%write (u)
	write (u, "(A,L1)") "1, 2 (6, -5) : " , flv_real%valid_pair (1, 2, flv_born, test_model)
	write (u, "(A,L1)") "1, 3 (6, 2) : " , flv_real%valid_pair (1, 3, flv_born, test_model)
	write (u, "(A,L1)") "1, 4 (6, -1) : " , flv_real%valid_pair (1, 4, flv_born, test_model)
	write (u, "(A,L1)") "2, 1 (-5, 6) : " , flv_real%valid_pair (2, 1, flv_born, test_model)
	write (u, "(A,L1)") "3, 1 (2, 6) : " , flv_real%valid_pair (3, 1, flv_born, test_model)
	write (u, "(A,L1)") "4, 1 (-1, 6) : " , flv_real%valid_pair (4, 1, flv_born, test_model)
	write (u, "(A,L1)") "2, 3 (-5, 2) : " , flv_real%valid_pair (2, 3, flv_born, test_model)
	write (u, "(A,L1)") "2, 4 (-5, -1): " , flv_real%valid_pair (2, 4, flv_born, test_model)
	write (u, "(A,L1)") "3, 2 (2, -5) : " , flv_real%valid_pair (3, 2, flv_born, test_model)
	write (u, "(A,L1)") "4, 2 (-1, -5): " , flv_real%valid_pair (4, 2, flv_born, test_model)
	write (u, "(A,L1)") "3, 4 (2, -1) : " , flv_real%valid_pair (3, 4, flv_born, test_model)
	write (u, "(A,L1)") "4, 3 (-1, 2) : " , flv_real%valid_pair (4, 3, flv_born, test_model)
	write (u, "(A,L1)") "1, 5 (6, 21) : " , flv_real%valid_pair (1, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 1 (21, 6) : " , flv_real%valid_pair (5, 1, flv_born, test_model)
	write (u, "(A,L1)") "2, 5 (-5, 21): " , flv_real%valid_pair (2, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 2 (21, 5) : " , flv_real%valid_pair (5, 2, flv_born, test_model)
	write (u, "(A,L1)") "3, 5 (2, 21) : " , flv_real%valid_pair (3, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 3 (21, 2) : " , flv_real%valid_pair (5, 3, flv_born, test_model)
	write (u, "(A,L1)") "4, 5 (-1, 21): " , flv_real%valid_pair (4, 5, flv_born, test_model)
	write (u, "(A,L1)") "5, 4 (21, -1): " , flv_real%valid_pair (5, 4, flv_born, test_model)

	call flv_born%final ()
	call flv_real%final ()

	end subroutine fks_regions_1

	@ %def fks_regions_1
	@
	<<fks regions: test declarations>>=
	public :: fks_regions_2
	<<fks regions: tests>>=
	subroutine fks_regions_2 (u)
	integer, intent(in) :: u
	integer :: n_flv_born, n_flv_real
	integer :: n_legs_born, n_legs_real
	integer :: n_in
	integer, dimension(:,:), allocatable :: flv_born, flv_real
	type(region_data_t) :: reg_data
	write (u, "(A)") "* Test output: fks_regions_2"
	write (u, "(A)") "* Create singular regions for processes with up to four singular regions"
	write (u, "(A)") "* ee -> qq with QCD corrections"
	write (u, "(A)")

	n_flv_born = 1; n_flv_real = 1
	n_legs_born = 4; n_legs_real = 5
	n_in = 2

	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))
	flv_born (:, 1) = [11, -11, 2, -2]
	flv_real (:, 1) = [11, -11, 2, -2, 21]
	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()
	call write_separator (u)

	write (u, "(A)") "* ee -> qq with EW corrections"
	write (u, "(A)")

	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))
	flv_born (:, 1) = [11, -11, 2, -2]
	flv_real (:, 1) = [11, -11, 2, -2, 22]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("EW"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()
	call write_separator (u)

	write (u, "(A)") "* ee -> tt"
	write (u, "(A)")
	write (u, "(A)") "* This process has four singular regions because they are not equivalent."

	n_flv_born = 1; n_flv_real = 1
	n_legs_born = 6; n_legs_real = 7
	n_in = 2

	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))
	flv_born (:, 1) = [11, -11, 6, -6, 6, -6]
	flv_real (:, 1) = [11, -11, 6, -6, 6, -6, 21]
	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()
	end subroutine fks_regions_2

	@ %def fks_regions_2
	@
	<<fks regions: test declarations>>=
	public :: fks_regions_3
	<<fks regions: tests>>=
	subroutine fks_regions_3 (u)
	integer, intent(in) :: u
	integer :: n_flv_born, n_flv_real
	integer :: n_legs_born, n_legs_real
	integer :: n_in, i, j
	integer, dimension(:,:), allocatable :: flv_born, flv_real
	type(region_data_t) :: reg_data
	write (u, "(A)") "* Test output: fks_regions_3"
	write (u, "(A)") "* Create singular regions for processes with three final-state particles"

	write (u, "(A)") "* ee -> qqg"
	write (u, "(A)")
	n_flv_born = 1; n_flv_real = 2
	n_legs_born = 5; n_legs_real = 6
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))

	flv_born (:, 1) = [11, -11, 2, -2, 21]
	flv_real (:, 1) = [11, -11, 2, -2, 21, 21]
	flv_real (:, 2) = [11, -11, 2, -2, 1, -1]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()
	call write_separator (u)

	write (u, "(A)") "* ee -> qqA"
	write (u, "(A)")
	n_flv_born = 1; n_flv_real = 2
	n_legs_born = 5; n_legs_real = 6
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))

	flv_born (:, 1) = [11, -11, 2, -2, 22]
	flv_real (:, 1) = [11, -11, 2, -2, 22, 22]
	flv_real (:, 2) = [11, -11, 2, -2, 11, -11]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("EW"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()
	call write_separator (u)

	write (u, "(A)") "* ee -> jet jet jet"
	write (u, "(A)") "* with jet = u:U:d:D:s:S:c:C:b:B:gl"
	write (u, "(A)")
	n_flv_born = 5; n_flv_real = 22
	n_legs_born = 5; n_legs_real = 6
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))

	flv_born (:, 1) = [11, -11, -4, 4, 21]
	flv_born (:, 2) = [11, -11, -2, 2, 21]
	flv_born (:, 3) = [11, -11, -5, 5, 21]
	flv_born (:, 4) = [11, -11, -3, 3, 21]
	flv_born (:, 5) = [11, -11, -1, 1, 21]
	flv_real (:, 1) = [11, -11, -4, -4, 4, 4]
	flv_real (:, 2) = [11, -11, -4, -2, 2, 4]
	flv_real (:, 3) = [11, -11, -4, 4, 21, 21]
	flv_real (:, 4) = [11, -11, -4, -5, 4, 5]
	flv_real (:, 5) = [11, -11, -4, -3, 4, 3]
	flv_real (:, 6) = [11, -11, -4, -1, 2, 3]
	flv_real (:, 7) = [11, -11, -4, -1, 4, 1]
	flv_real (:, 8) = [11, -11, -2, -2, 2, 2]
	flv_real (:, 9) = [11, -11, -2, 2, 21, 21]
	flv_real (:, 10) = [11, -11, -2, -5, 2, 5]
	flv_real (:, 11) = [11, -11, -2, -3, 2, 3]
	flv_real (:, 12) = [11, -11, -2, -3, 4, 1]
	flv_real (:, 13) = [11, -11, -2, -1, 2, 1]
	flv_real (:, 14) = [11, -11, -5, -5, 5, 5]
	flv_real (:, 15) = [11, -11, -5, -3, 3, 5]
	flv_real (:, 16) = [11, -11, -5, -1, 1, 5]
	flv_real (:, 17) = [11, -11, -5, 5, 21, 21]
	flv_real (:, 18) = [11, -11, -3, -3, 3, 3]
	flv_real (:, 19) = [11, -11, -3, -1, 1, 3]
	flv_real (:, 20) = [11, -11, -3, 3, 21, 21]
	flv_real (:, 21) = [11, -11, -1, -1, 1, 1]
	flv_real (:, 22) = [11, -11, -1, 1, 21, 21]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()
	call write_separator (u)

	write (u, "(A)") "* ee -> L L A"
	write (u, "(A)") "* with L = e2:E2:e3:E3"
	write (u, "(A)")
	n_flv_born = 2; n_flv_real = 6
	n_legs_born = 5; n_legs_real = 6
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))

	flv_born (:, 1) = [11, -11, -15, 15, 22]
	flv_born (:, 2) = [11, -11, -13, 13, 22]

	flv_real (:, 1) = [11, -11, -15, -15, 15, 15]
	flv_real (:, 2) = [11, -11, -15, -13, 13, 13]
	flv_real (:, 3) = [11, -11, -13, -15, 13, 15]
	flv_real (:, 4) = [11, -11, -15, 15, 22, 22]
	flv_real (:, 5) = [11, -11, -13, -13, 13, 13]
	flv_real (:, 6) = [11, -11, -13, 13, 22, 22]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("EW"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()

	end subroutine fks_regions_3

	@ %def fks_regions_3
	@
	<<fks regions: test declarations>>=
	public :: fks_regions_4
	<<fks regions: tests>>=
	subroutine fks_regions_4 (u)
	integer, intent(in) :: u
	integer :: n_flv_born, n_flv_real
	integer :: n_legs_born, n_legs_real
	integer :: n_in
	integer, dimension(:,:), allocatable :: flv_born, flv_real
	type(region_data_t) :: reg_data
	write (u, "(A)") "* Test output: fks_regions_4"
	write (u, "(A)") "* Create singular regions for processes with four final-state particles"
	write (u, "(A)") "* ee -> 4 jet"
	write (u, "(A)") "* with jet = u:U:d:D:s:S:c:C:b:B:gl"
	write (u, "(A)")
	n_flv_born = 22; n_flv_real = 22
	n_legs_born = 6; n_legs_real = 7
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))

	flv_born (:, 1) = [11, -11, -4, -4, 4, 4]
	flv_born (:, 2) = [11, -11, -4, -2, 2, 4]
	flv_born (:, 3) = [11, -11, -4, 4, 21, 21]
	flv_born (:, 4) = [11, -11, -4, -5, 4, 5]
	flv_born (:, 5) = [11, -11, -4, -3, 4, 3]
	flv_born (:, 6) = [11, -11, -4, -1, 2, 3]
	flv_born (:, 7) = [11, -11, -4, -1, 4, 1]
	flv_born (:, 8) = [11, -11, -2, -2, 2, 2]
	flv_born (:, 9) = [11, -11, -2, 2, 21, 21]
	flv_born (:, 10) = [11, -11, -2, -5, 2, 5]
	flv_born (:, 11) = [11, -11, -2, -3, 2, 3]
	flv_born (:, 12) = [11, -11, -2, -3, 4, 1]
	flv_born (:, 13) = [11, -11, -2, -1, 2, 1]
	flv_born (:, 14) = [11, -11, -5, -5, 5, 5]
	flv_born (:, 15) = [11, -11, -5, -3, 3, 5]
	flv_born (:, 16) = [11, -11, -5, -1, 1, 5]
	flv_born (:, 17) = [11, -11, -5, 5, 21, 21]
	flv_born (:, 18) = [11, -11, -3, -3, 3, 3]
	flv_born (:, 19) = [11, -11, -3, -1, 1, 3]
	flv_born (:, 20) = [11, -11, -3, -3, 21, 21]
	flv_born (:, 21) = [11, -11, -1, -1, 1, 1]
	flv_born (:, 22) = [11, -11, -1, 1, 21, 21]
	flv_real (:, 1) = [11, -11, -4, -4, 4, 4, 21]
	flv_real (:, 2) = [11, -11, -4, -2, 2, 4, 21]
	flv_real (:, 3) = [11, -11, -4, 4, 21, 21, 21]
	flv_real (:, 4) = [11, -11, -4, -5, 4, 5, 21]
	flv_real (:, 5) = [11, -11, -4, -3, 4, 3, 21]
	flv_real (:, 6) = [11, -11, -4, -1, 2, 3, 21]
	flv_real (:, 7) = [11, -11, -4, -1, 4, 1, 21]
	flv_real (:, 8) = [11, -11, -2, -2, 2, 2, 21]
	flv_real (:, 9) = [11, -11, -2, 2, 21, 21, 21]
	flv_real (:, 10) = [11, -11, -2, -5, 2, 5, 21]
	flv_real (:, 11) = [11, -11, -2, -3, 2, 3, 21]
	flv_real (:, 12) = [11, -11, -2, -3, 4, 1, 21]
	flv_real (:, 13) = [11, -11, -2, -1, 2, 1, 21]
	flv_real (:, 14) = [11, -11, -5, -5, 5, 5, 21]
	flv_real (:, 15) = [11, -11, -5, -3, 3, 5, 21]
	flv_real (:, 16) = [11, -11, -5, -1, 1, 5, 21]
	flv_real (:, 17) = [11, -11, -5, 5, 21, 21, 21]
	flv_real (:, 18) = [11, -11, -3, -3, 3, 3, 21]
	flv_real (:, 19) = [11, -11, -3, -1, 1, 3, 21]
	flv_real (:, 20) = [11, -11, -3, 3, 21, 21, 21]
	flv_real (:, 21) = [11, -11, -1, -1, 1, 1, 21]
	flv_real (:, 22) = [11, -11, -1, 1, 21, 21, 21]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()
	call write_separator (u)

	write (u, "(A)") "* ee -> bbmumu with QCD corrections"
	write (u, "(A)")
	n_flv_born = 1; n_flv_real = 1
	n_legs_born = 6; n_legs_real = 7
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))

	flv_born (:, 1) = [11, -11, -5, 5, -13, 13]
	flv_real (:, 1) = [11, -11, -5, 5, -13, 13, 21]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()
	call write_separator (u)

	write (u, "(A)") "* ee -> bbmumu with EW corrections"
	write (u, "(A)")
	n_flv_born = 1; n_flv_real = 1
	n_legs_born = 6; n_legs_real = 7
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))

	flv_born (:, 1) = [11, -11, -5, 5, -13, 13]
	flv_real (:, 1) = [11, -11, -5, 5, -13, 13, 22]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()

	end subroutine fks_regions_4

	@ %def fks_regions_4
	@
	<<fks regions: test declarations>>=
	public :: fks_regions_5
	<<fks regions: tests>>=
	subroutine fks_regions_5 (u)
	integer, intent(in) :: u
	integer :: n_flv_born, n_flv_real
	integer :: n_legs_born, n_legs_real
	integer :: n_in
	integer, dimension(:,:), allocatable :: flv_born, flv_real
	type(region_data_t) :: reg_data
	write (u, "(A)") "* Test output: fks_regions_5"
	write (u, "(A)") "* Create singular regions for processes with five final-state particles"
	write (u, "(A)") "* ee -> 5 jet"
	write (u, "(A)") "* with jet = u:U:d:D:s:S:c:C:b:B:gl"
	write (u, "(A)")
	n_flv_born = 22; n_flv_real = 67
	n_legs_born = 7; n_legs_real = 8
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))


	flv_born (:,1) = [11,-11,-4,-4,4,4,21]
	flv_born (:,2) = [11,-11,-4,-2,2,4,21]
	flv_born (:,3) = [11,-11,-4,4,21,21,21]
	flv_born (:,4) = [11,-11,-4,-5,4,5,21]
	flv_born (:,5) = [11,-11,-4,-3,4,3,21]
	flv_born (:,6) = [11,-11,-4,-1,2,3,21]
	flv_born (:,7) = [11,-11,-4,-1,4,1,21]
	flv_born (:,8) = [11,-11,-2,-2,2,2,21]
	flv_born (:,9) = [11,-11,-2,2,21,21,21]
	flv_born (:,10) = [11,-11,-2,-5,2,5,21]
	flv_born (:,11) = [11,-11,-2,-3,2,3,21]
	flv_born (:,12) = [11,-11,-2,-3,4,1,21]
	flv_born (:,13) = [11,-11,-2,-1,2,1,21]
	flv_born (:,14) = [11,-11,-5,-5,5,5,21]
	flv_born (:,15) = [11,-11,-5,-3,3,5,21]
	flv_born (:,16) = [11,-11,-5,-1,1,5,21]
	flv_born (:,17) = [11,-11,-5,5,21,21,21]
	flv_born (:,18) = [11,-11,-3,-3,3,3,21]
	flv_born (:,19) = [11,-11,-3,-1,1,3,21]
	flv_born (:,20) = [11,-11,-3,3,21,21,21]
	flv_born (:,21) = [11,-11,-1,-1,1,1,21]
	flv_born (:,22) = [11,-11,-1,1,21,21,21]

	flv_real (:,1) = [11,-11,-4,-4,-4,4,4,4]
	flv_real (:,2) = [11,-11,-4,-4,-2,2,4,4]
	flv_real (:,3) = [11,-11,-4,-4,4,4,21,21]
	flv_real (:,4) = [11,-11,-4,-4,-5,4,4,5]
	flv_real (:,5) = [11,-11,-4,-4,-3,4,4,3]
	flv_real (:,6) = [11,-11,-4,-4,-1,2,4,3]
	flv_real (:,7) = [11,-11,-4,-4,-1,4,4,1]
	flv_real (:,8) = [11,-11,-4,-2,-2,2,2,4]
	flv_real (:,9) = [11,-11,-4,-2,2,4,21,21]
	flv_real (:,10) = [11,-11,-4,-2,-5,2,4,5]
	flv_real (:,11) = [11,-11,-4,-2,-3,2,4,3]
	flv_real (:,12) = [11,-11,-4,-2,-3,4,4,1]
	flv_real (:,13) = [11,-11,-4,-2,-1,2,2,3]
	flv_real (:,14) = [11,-11,-4,-2,-1,2,4,1]
	flv_real (:,15) = [11,-11,-4,4,21,21,21,21]
	flv_real (:,16) = [11,-11,-4,-5,4,5,21,21]
	flv_real (:,17) = [11,-11,-4,-5,-5,4,5,5]
	flv_real (:,18) = [11,-11,-4,-5,-3,4,3,5]
	flv_real (:,19) = [11,-11,-4,-5,-1,2,3,5]
	flv_real (:,20) = [11,-11,-4,-5,-1,4,1,5]
	flv_real (:,21) = [11,-11,-4,-3,4,3,21,21]
	flv_real (:,22) = [11,-11,-4,-3,-3,4,3,3]
	flv_real (:,23) = [11,-11,-4,-3,-1,2,3,3]
	flv_real (:,24) = [11,-11,-4,-3,-1,4,1,3]
	flv_real (:,25) = [11,-11,-4,-1,2,3,21,21]
	flv_real (:,26) = [11,-11,-4,-1,4,1,21,21]
	flv_real (:,27) = [11,-11,-4,-1,-1,2,1,3]
	flv_real (:,28) = [11,-11,-4,-1,-1,4,1,1]
	flv_real (:,29) = [11,-11,-2,-2,-2,2,2,2]
	flv_real (:,30) = [11,-11,-2,-2,2,2,21,21]
	flv_real (:,31) = [11,-11,-2,-2,-5,2,2,5]
	flv_real (:,32) = [11,-11,-2,-2,-3,2,2,3]
	flv_real (:,33) = [11,-11,-2,-2,-3,2,4,1]
	flv_real (:,34) = [11,-11,-2,-2,-1,2,2,1]
	flv_real (:,35) = [11,-11,-2,2,21,21,21,21]
	flv_real (:,36) = [11,-11,-2,-5,2,5,21,21]
	flv_real (:,37) = [11,-11,-2,-5,-5,2,5,5]
	flv_real (:,38) = [11,-11,-2,-5,-3,2,3,5]
	flv_real (:,39) = [11,-11,-2,-5,-3,4,1,5]
	flv_real (:,40) = [11,-11,-2,-5,-1,2,1,5]
	flv_real (:,41) = [11,-11,-2,-3,2,3,21,21]
	flv_real (:,42) = [11,-11,-2,-3,4,1,21,21]
	flv_real (:,43) = [11,-11,-2,-3,-3,2,3,3]
	flv_real (:,44) = [11,-11,-2,-3,-3,4,1,3]
	flv_real (:,45) = [11,-11,-2,-3,-1,2,1,3]
	flv_real (:,46) = [11,-11,-2,-3,-1,4,1,1]
	flv_real (:,47) = [11,-11,-2,-1,2,1,21,21]
	flv_real (:,48) = [11,-11,-2,-1,-1,2,1,1]
	flv_real (:,49) = [11,-11,-5,-5,-5,5,5,5]
	flv_real (:,50) = [11,-11,-5,-5,-3,3,5,5]
	flv_real (:,51) = [11,-11,-5,-5,-1,1,5,5]
	flv_real (:,52) = [11,-11,-5,-5,5,5,21,21]
	flv_real (:,53) = [11,-11,-5,-3,-3,3,3,5]
	flv_real (:,54) = [11,-11,-5,-3,-1,1,3,5]
	flv_real (:,55) = [11,-11,-5,-3,3,5,21,21]
	flv_real (:,56) = [11,-11,-5,-1,-1,1,1,5]
	flv_real (:,57) = [11,-11,-5,-1,1,5,21,21]
	flv_real (:,58) = [11,-11,-5,5,21,21,21,21]
	flv_real (:,59) = [11,-11,-3,-3,-3,3,3,3]
	flv_real (:,60) = [11,-11,-3,-3,-1,1,3,3]
	flv_real (:,61) = [11,-11,-3,-3,3,3,21,21]
	flv_real (:,62) = [11,-11,-3,-1,-1,1,1,3]
	flv_real (:,63) = [11,-11,-3,-1,1,3,21,21]
	flv_real (:,64) = [11,-11,-3,3,21,21,21,21]
	flv_real (:,65) = [11,-11,-1,-1,-1,1,1,1]
	flv_real (:,66) = [11,-11,-1,-1,1,1,21,21]
	flv_real (:,67) = [11,-11,-1,1,21,21,21,21]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()

	end subroutine fks_regions_5

	@ %def fks_regions_5
	@
	<<fks regions: test declarations>>=
	public :: fks_regions_6
	<<fks regions: tests>>=
	subroutine fks_regions_6 (u)
	integer, intent(in) :: u
	integer :: n_flv_born, n_flv_real
	integer :: n_legs_born, n_legs_real
	integer :: n_in
	integer, dimension(:,:), allocatable :: flv_born, flv_real
	type(region_data_t) :: reg_data
	integer :: i, j
	integer, dimension(10) :: flavors
	write (u, "(A)") "* Test output: fks_regions_6"
	write (u, "(A)") "* Create table of singular regions for Drell Yan"
	write (u, "(A)")

	n_flv_born = 10; n_flv_real = 30
	n_legs_born = 4; n_legs_real = 5
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))
	flavors = [-5, -4, -3, -2, -1, 1, 2, 3, 4, 5]
	do i = 1, n_flv_born
	flv_born (3:4, i) = [11, -11]
	end do
	do j = 1, n_flv_born
	flv_born (1, j) = flavors (j)
	flv_born (2, j) = -flavors (j)
	end do

	do i = 1, n_flv_real
	flv_real (3:4, i) = [11, -11]
	end do
	i = 1
	do j = 1, n_flv_real
	if (mod (j, 3) == 1) then
	flv_real (1, j) = flavors (i)
	flv_real (2, j) = -flavors (i)
	flv_real (5, j) = 21
	else if (mod (j, 3) == 2) then
	flv_real (1, j) = flavors (i)
	flv_real (2, j) = 21
	flv_real (5, j) = flavors (i)
	else
	flv_real (1, j) = 21
	flv_real (2, j) = -flavors (i)
	flv_real (5, j) = -flavors (i)
	i = i + 1
	end if
	end do

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	call write_separator (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()

	write (u, "(A)") "* Create table of singular regions for hadronic top decay"
	write (u, "(A)")
	n_flv_born = 1; n_flv_real = 1
	n_legs_born = 4; n_legs_real = 5
	n_in = 1
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))

	flv_born (:, 1) = [6, -5, 2, -1]
	flv_real (:, 1) = [6, -5, 2, -1, 21]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)

	call write_separator (u)

	deallocate (flv_born, flv_real)
	call reg_data%final ()

	write (u, "(A)") "* Create table of singular regions for dijet s sbar -> jet jet"
	write (u, "(A)") "* With jet = u:d:gl"
	write (u, "(A)")

	n_flv_born = 3; n_flv_real = 3
	n_legs_born = 4; n_legs_real = 5
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))
	do i = 1, n_flv_born
	flv_born (1:2, i) = [3, -3]
	end do
	flv_born (3, :) = [1, 2, 21]
	flv_born (4, :) = [-1, -2, 21]

	do i = 1, n_flv_real
	flv_real (1:2, i) = [3, -3]
	end do
	flv_real (3, :) = [1, 2, 21]
	flv_real (4, :) = [-1, -2, 21]
	flv_real (5, :) = [21, 21, 21]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)
	call reg_data%final ()

	end subroutine fks_regions_6

	@ %def fks_regions_6
	@
	<<fks regions: test declarations>>=
	public :: fks_regions_7
	<<fks regions: tests>>=
	subroutine fks_regions_7 (u)
	integer, intent(in) :: u
	integer :: n_flv_born, n_flv_real
	integer :: n_legs_born, n_legs_real
	integer :: n_in
	integer, dimension(:,:), allocatable :: flv_born, flv_real
	type(region_data_t) :: reg_data
	write (u, "(A)") "* Test output: fks_regions_7"
	write (u, "(A)") "* Create table of singular regions for ee -> qq"
	write (u, "(A)")

	n_flv_born = 1; n_flv_real = 1
	n_legs_born = 4; n_legs_real = 5
	n_in = 2

	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))
	flv_born (:, 1) = [11, -11, 2, -2]
	flv_real (:, 1) = [11, -11, 2, -2, 21]
	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("QCD"))
	call reg_data%write_latex (u)
	call reg_data%final ()

	end subroutine fks_regions_7

	@ %def fks_regions_7
	@
	<<fks regions: test declarations>>=
	public :: fks_regions_8
	<<fks regions: tests>>=
	subroutine fks_regions_8 (u)
	integer, intent(in) :: u
	integer :: n_flv_born, n_flv_real
	integer :: n_legs_born, n_legs_real
	integer :: n_in
	integer, dimension(:,:), allocatable :: flv_born, flv_real
	type(region_data_t) :: reg_data
	integer :: i, j
	integer, dimension(10) :: flavors
	write (u, "(A)") "* Test output: fks_regions_8"
	write (u, "(A)") "* Create table of singular regions for ee -> ee"
	write (u, "(A)")

	n_flv_born = 1; n_flv_real = 3
	n_legs_born = 4; n_legs_real = 5
	n_in = 2
	allocate (flv_born (n_legs_born, n_flv_born))
	allocate (flv_real (n_legs_real, n_flv_real))
	flv_born (:, 1) = [11, -11, -11, 11]

	flv_real (:, 1) = [11, -11, -11, 11, 22]
	flv_real (:, 2) = [11, 22, -11, 11, 11]
	flv_real (:, 3) = [22, -11, 11, -11, -11]

	call setup_region_data_for_test (n_in, flv_born, flv_real, reg_data, var_str ("EW"))
	call reg_data%check_consistency (.false., u)
	call reg_data%write (u)
	call reg_data%final ()

	end subroutine fks_regions_8

	@ %def fks_regions_8
	@
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\section{Virtual contribution to the cross section}
	<<[[virtual.f90]]>>=
	<<File header>>

	module virtual

	<<Use kinds>>
	<<Use strings>>
	<<Use debug>>
	use numeric_utils
	use constants
	use diagnostics
	use pdg_arrays
	use models
	use model_data, only: model_data_t
	use physics_defs
	use sm_physics
	use lorentz
	use flavors
	use nlo_data, only: get_threshold_momenta, nlo_settings_t
	use nlo_data, only: ASSOCIATED_LEG_PAIR
	use fks_regions

	<<Standard module head>>

	<<virtual: public>>

	<<virtual: parameters>>

	<<virtual: types>>

	contains

	<<virtual: procedures>>

	end module virtual
	@ %def virtual
	@
	<<virtual: public>>=
	public :: virtual_t
	<<virtual: types>>=
	type :: virtual_t
	type(nlo_settings_t), pointer :: settings
	real(default), dimension(:,:), allocatable :: gamma_0, gamma_p, c_flv
	real(default) :: ren_scale2, fac_scale, es_scale2
	integer, dimension(:), allocatable :: n_is_neutrinos
	integer :: n_in, n_legs, n_flv
	logical :: bad_point = .false.
	type(string_t) :: selection
	real(default), dimension(:), allocatable :: sqme_born
	real(default), dimension(:), allocatable :: sqme_virt_fin
	real(default), dimension(:,:,:), allocatable :: sqme_color_c
	real(default), dimension(:,:,:), allocatable :: sqme_charge_c
	logical :: has_pdfs = .false.
	contains
	<<virtual: virtual: TBP>>
	end type virtual_t

	@ %def virtual_t
	@
	<<virtual: virtual: TBP>>=
	procedure :: init => virtual_init
	<<virtual: procedures>>=
	subroutine virtual_init (virt, flv_born, n_in, settings, &
	nlo_corr_type, model, has_pdfs)
	class(virtual_t), intent(inout) :: virt
	integer, intent(in), dimension(:,:) :: flv_born
	integer, intent(in) :: n_in
	type(nlo_settings_t), intent(in), pointer :: settings
	type(string_t), intent(in) :: nlo_corr_type
	class(model_data_t), intent(in) :: model
	logical, intent(in) :: has_pdfs
	integer :: i_flv
	virt%n_legs = size (flv_born, 1); virt%n_flv = size (flv_born, 2)
	virt%n_in = n_in
	allocate (virt%sqme_born (virt%n_flv))
	allocate (virt%sqme_virt_fin (virt%n_flv))
	allocate (virt%sqme_color_c (virt%n_legs, virt%n_legs, virt%n_flv))
	allocate (virt%sqme_charge_c (virt%n_legs, virt%n_legs, virt%n_flv))
	allocate (virt%gamma_0 (virt%n_legs, virt%n_flv), &
	virt%gamma_p (virt%n_legs, virt%n_flv), &
	virt%c_flv (virt%n_legs, virt%n_flv))
	call virt%init_constants (flv_born, settings%fks_template%n_f, nlo_corr_type, model)
	allocate (virt%n_is_neutrinos (virt%n_flv))
	virt%n_is_neutrinos = 0
	do i_flv = 1, virt%n_flv
	if (is_neutrino (flv_born(1, i_flv))) &
	virt%n_is_neutrinos(i_flv) = virt%n_is_neutrinos(i_flv) + 1
	if (is_neutrino (flv_born(2, i_flv))) &
	virt%n_is_neutrinos(i_flv) = virt%n_is_neutrinos(i_flv) + 1
	end do
	select case (char (settings%virtual_selection))
	case ("Full", "OLP", "Subtraction")
	virt%selection = settings%virtual_selection
	case default
	call msg_fatal ('Virtual selection: Possible values are "Full", "OLP" or "Subtraction')
	end select
	virt%settings => settings
	virt%has_pdfs = has_pdfs
	contains

	function is_neutrino (flv) result (neutrino)
	integer, intent(in) :: flv
	logical :: neutrino
	neutrino = (abs(flv) == 12 .or. abs(flv) == 14 .or. abs(flv) == 16)
	end function is_neutrino

	end subroutine virtual_init

	@ %def virtual_init
	@ The virtual subtraction terms contain Casimir operators and derived constants, listed
	below:
	\begin{align}
	\label{eqn:C(q)}
	C(q) = C(\bar{q}) &= C_F, \\
	\label{eqn:C(g)}
	C(g) &= C_A,\\
	\label{eqn:gamma(q)}
	\gamma(q) = \gamma(\bar{q}) &= \frac{3}{2} C_F,\\
	\label{eqn:gamma(g)}
	\gamma(g) &= \frac{11}{6} C_A - \frac{2}{3} T_F N_f,\\
	\label{eqn:gammap(q)}
	\gamma'(q) = \gamma'(\bar{q}) &= \left(\frac{13}{2} - \frac{2\pi^2}{3}\right) C_F, \\
	\label{eqn:gammap(g)}
	\gamma'(g) &= \left(\frac{67}{9} - \frac{2\pi^2}{3}\right) C_A - \frac{23}{9} T_F N_f.
	\end{align}
	For uncolored particles, [[virtual_init_constants]] sets $C$, $\gamma$ and $\gamma'$ to zero.
	<<virtual: virtual: TBP>>=
	procedure :: init_constants => virtual_init_constants
	<<virtual: procedures>>=
	subroutine virtual_init_constants (virt, flv_born, nf_input, nlo_corr_type, model)
	class(virtual_t), intent(inout) :: virt
	integer, intent(in), dimension(:,:) :: flv_born
	integer, intent(in) :: nf_input
	type(string_t), intent(in) :: nlo_corr_type
	class(model_data_t), intent(in) :: model
	integer :: i_part, i_flv
	real(default) :: nf, CA_factor
	real(default), dimension(:,:), allocatable :: CF_factor, TR_factor
	type(flavor_t) :: flv
	allocate (CF_factor (size (flv_born, 1), size (flv_born, 2)), &
	TR_factor (size (flv_born, 1), size (flv_born, 2)))
	select case (char (nlo_corr_type))
	case ("QCD")
	CA_factor = CA; CF_factor = CF; TR_factor = TR
	nf = real(nf_input, default)
	case ("EW")
	CA_factor = zero
	do i_flv = 1, size (flv_born, 2)
	do i_part = 1, size (flv_born, 1)
	call flv%init (flv_born(i_part, i_flv), model)
	CF_factor(i_part, i_flv) = (flv%get_charge ())**2
	TR_factor(i_part, i_flv) = (flv%get_charge ())**2
	end do
	end do
	! TODO vincent_r fixed nf needs replacement !!! for testing only, needs dynamical treatment!
	nf = real(4, default)
	end select
	do i_flv = 1, size (flv_born, 2)
	do i_part = 1, size (flv_born, 1)
	if (is_corresponding_vector (flv_born(i_part, i_flv), nlo_corr_type)) then
	virt%gamma_0(i_part, i_flv) = 11._default / 6._default * CA_factor &
	- two / three * TR_factor(i_part, i_flv) * nf
	virt%gamma_p(i_part, i_flv) = (67._default / 9._default &
	- two * pi*2 / three) CA_factor &
	- 23._default / 9._default * TR_factor(i_part, i_flv) * nf
	virt%c_flv(i_part, i_flv) = CA_factor
	else if (is_corresponding_fermion (flv_born(i_part, i_flv), nlo_corr_type)) then
	virt%gamma_0(i_part, i_flv) = 1.5_default * CF_factor(i_part, i_flv)
	virt%gamma_p(i_part, i_flv) = (6.5_default - two * pi*2 / three) CF_factor(i_part, i_flv)
	virt%c_flv(i_part, i_flv) = CF_factor(i_part, i_flv)
	else
	virt%gamma_0(i_part, i_flv) = zero
	virt%gamma_p(i_part, i_flv) = zero
	virt%c_flv(i_part, i_flv) = zero
	end if
	end do
	end do
	contains
	function is_corresponding_vector (pdg_nr, nlo_corr_type)
	logical :: is_corresponding_vector
	integer, intent(in) :: pdg_nr
	type(string_t), intent(in) :: nlo_corr_type
	is_corresponding_vector = .false.
	if (nlo_corr_type == "QCD") then
	is_corresponding_vector = is_gluon (pdg_nr)
	else if (nlo_corr_type == "EW") then
	is_corresponding_vector = is_photon (pdg_nr)
	end if
	end function is_corresponding_vector
	function is_corresponding_fermion (pdg_nr, nlo_corr_type)
	logical :: is_corresponding_fermion
	integer, intent(in) :: pdg_nr
	type(string_t), intent(in) :: nlo_corr_type
	is_corresponding_fermion = .false.
	if (nlo_corr_type == "QCD") then
	is_corresponding_fermion = is_quark (pdg_nr)
	else if (nlo_corr_type == "EW") then
	is_corresponding_fermion = is_fermion (pdg_nr)
	end if
	end function is_corresponding_fermion
	end subroutine virtual_init_constants

	@ %def virtual_init_constants
	@ Set the renormalization scale. If the input is zero, use the
	center-of-mass energy.
	<<virtual: virtual: TBP>>=
	procedure :: set_ren_scale => virtual_set_ren_scale
	<<virtual: procedures>>=
	subroutine virtual_set_ren_scale (virt, p, ren_scale)
	class(virtual_t), intent(inout) :: virt
	type(vector4_t), intent(in), dimension(:) :: p
	real(default), intent(in) :: ren_scale
	if (ren_scale > 0) then
	virt%ren_scale2 = ren_scale**2
	else
	virt%ren_scale2 = (p(1) + p(2))**2
	end if
	end subroutine virtual_set_ren_scale

	@ %def virtual_set_ren_scale
	@
	<<virtual: virtual: TBP>>=
	procedure :: set_fac_scale => virtual_set_fac_scale
	<<virtual: procedures>>=
	subroutine virtual_set_fac_scale (virt, p, fac_scale)
	class(virtual_t), intent(inout) :: virt
	type(vector4_t), dimension(:), intent(in) :: p
	real(default), optional :: fac_scale
	if (present (fac_scale)) then
	virt%fac_scale = fac_scale
	else
	virt%fac_scale = (p(1) + p(2))**1
	end if
	end subroutine virtual_set_fac_scale

	@ %def virtual_set_fac_scale
	<<virtual: virtual: TBP>>=
	procedure :: set_ellis_sexton_scale => virtual_set_ellis_sexton_scale
	<<virtual: procedures>>=
	subroutine virtual_set_ellis_sexton_scale (virt, Q)
	class(virtual_t), intent(inout) :: virt
	real(default), intent(in) :: Q
	virt%es_scale2 = Q * Q
	end subroutine virtual_set_ellis_sexton_scale

	@ %def virtual_set_ellis_sexton_scale
	@ The virtual-subtracted matrix element is given by the equation
	\begin{equation}
	\label{eqn:virt_sub}
	\mathcal{V} = \frac{\alpha_s}{2\pi}\left(\mathcal{Q}\mathcal{B} +
	\sum \mathcal{I}_{ij}\mathcal{B}_{ij} + \mathcal{V}_{fin}\right),
	\end{equation}
	The expressions for $\mathcal{Q}$ can be found in equations \ref{eqn:virt_Q_isr}
	and \ref{eqn:virt_Q_fsr}.
	The expressions for $\mathcal{I}_{ij}$ can be found in equations
	(\ref{I_00}), (\ref{I_mm}), (\ref{I_0m}), depending on whether the
	particles involved in the radiation process are massive or massless.
	<<virtual: virtual: TBP>>=
	procedure :: evaluate => virtual_evaluate
	<<virtual: procedures>>=
	subroutine virtual_evaluate (virt, reg_data, alpha_coupling, &
	p_born, separate_alrs, sqme_virt)
	class(virtual_t), intent(inout) :: virt
	type(region_data_t), intent(in) :: reg_data
	real(default), intent(in) :: alpha_coupling
	type(vector4_t), intent(in), dimension(:) :: p_born
	logical, intent(in) :: separate_alrs
	real(default), dimension(:), intent(inout) :: sqme_virt
	real(default) :: s, s_o_Q2
	real(default), dimension(reg_data%n_flv_born) :: QB, BI
	integer :: i_flv, ii_flv
	QB = zero; BI = zero
	if (virt%bad_point) return
	if (debug2_active (D_VIRTUAL)) then
	print *, 'Compute virtual component using alpha = ', alpha_coupling
	print *, 'Virtual selection: ', char (virt%selection)
	print *, 'virt%es_scale2 = ', virt%es_scale2 !!! Debugging
	end if
	s = sum (p_born(1 : virt%n_in))**2
	if (virt%settings%factorization_mode == FACTORIZATION_THRESHOLD) &
	call set_s_for_threshold ()
	s_o_Q2 = s / virt%es_scale2 * virt%settings%fks_template%xi_cut**2
	do i_flv = 1, reg_data%n_flv_born
	if (separate_alrs) then
	ii_flv = i_flv
	else
	ii_flv = 1
	end if
	if (virt%selection == var_str ("Full") .or. virt%selection == var_str ("OLP")) then
	!!! A factor of alpha_coupling/twopi is assumed to be included in vfin
	sqme_virt(ii_flv) = sqme_virt(ii_flv) + virt%sqme_virt_fin(i_flv)
	end if
	if (virt%selection == var_str ("Full") .or. virt%selection == var_str ("Subtraction")) then
	call virt%evaluate_initial_state (i_flv, QB)
	call virt%compute_collinear_contribution (i_flv, p_born, sqrt(s), reg_data, QB)
	select case (virt%settings%factorization_mode)
	case (FACTORIZATION_THRESHOLD)
	call virt%compute_eikonals_threshold (i_flv, p_born, s_o_Q2, QB, BI)
	case default
	call virt%compute_massive_self_eikonals (i_flv, p_born, s_o_Q2, reg_data, QB)
	call virt%compute_eikonals (i_flv, p_born, s_o_Q2, reg_data, BI)
	end select
	if (debug2_active (D_VIRTUAL)) then
	print *, 'Evaluate i_flv: ', i_flv
	print *, 'sqme_born: ', virt%sqme_born (i_flv)
	print , 'Q sqme_born: ', alpha_coupling / twopi * QB(i_flv)
	print , 'BI: ', alpha_coupling / twopi BI(i_flv)
	print *, 'vfin: ', virt%sqme_virt_fin (i_flv)
	end if
	sqme_virt(ii_flv) = &
	sqme_virt(ii_flv) + alpha_coupling / twopi * (QB(i_flv) + BI(i_flv))
	end if
	end do
	if (debug2_active (D_VIRTUAL)) then
	call msg_debug2 (D_VIRTUAL, "virtual-subtracted matrix element(s): ")
	print *, sqme_virt
	end if
	do i_flv = 1, reg_data%n_flv_born
	if (virt%n_is_neutrinos(i_flv) > 0) &
	sqme_virt = sqme_virt * virt%n_is_neutrinos(i_flv) * two
	end do
	contains
	subroutine set_s_for_threshold ()
	use ttv_formfactors, only: m1s_to_mpole
	real(default) :: mtop2
	mtop2 = m1s_to_mpole (sqrt(s))**2
	if (s < four * mtop2) s = four * mtop2
	end subroutine set_s_for_threshold

	end subroutine virtual_evaluate

	@ %def virtual_evaluate
	@
	<<virtual: virtual: TBP>>=
	procedure :: compute_eikonals => virtual_compute_eikonals
	<<virtual: procedures>>=
	subroutine virtual_compute_eikonals (virtual, i_flv, &
	p_born, s_o_Q2, reg_data, BI)
	class(virtual_t), intent(inout) :: virtual
	integer, intent(in) :: i_flv
	type(vector4_t), intent(in), dimension(:) :: p_born
	real(default), intent(in) :: s_o_Q2
	type(region_data_t), intent(in) :: reg_data
	real(default), intent(inout), dimension(:) :: BI
	integer :: i, j
	real(default) :: I_ij, BI_tmp
	BI_tmp = zero
	! TODO vincent_r: Split the procedure into one computing QCD eikonals and one computing QED eikonals.
	! TODO vincent_r: In the best case, remove the dependency on reg_data completely.
	associate (flst_born => reg_data%flv_born(i_flv), &
	nlo_corr_type => reg_data%regions(1)%nlo_correction_type)
	do i = 1, virtual%n_legs
	do j = 1, virtual%n_legs
	if (i /= j) then
	if (nlo_corr_type == "QCD") then
	if (flst_born%colored(i) .and. flst_born%colored(j)) then
	I_ij = compute_eikonal_factor (p_born, flst_born%massive, &
	i, j, s_o_Q2)
	BI_tmp = BI_tmp + virtual%sqme_color_c (i, j, i_flv) * I_ij
	if (debug2_active (D_VIRTUAL)) &
	print *, 'b_ij: ', i, j, virtual%sqme_color_c (i, j, i_flv), 'I_ij: ', I_ij
	end if
	else if (nlo_corr_type == "EW") then
	I_ij = compute_eikonal_factor (p_born, flst_born%massive, &
	i, j, s_o_Q2)
	BI_tmp = BI_tmp + virtual%sqme_charge_c (i, j, i_flv) * I_ij
	if (debug2_active (D_VIRTUAL)) &
	print *, 'b_ij: ', virtual%sqme_charge_c (i, j, i_flv), 'I_ij: ', I_ij
	end if
	else if (debug2_active (D_VIRTUAL)) then
	print *, 'b_ij: ', i, j, virtual%sqme_color_c (i, j, i_flv), 'I_ij: ', I_ij
	end if
	end do
	end do
	if (virtual%settings%use_internal_color_correlations .or. nlo_corr_type == "EW") &
	BI_tmp = BI_tmp * virtual%sqme_born (i_flv)
	end associate
	BI(i_flv) = BI(i_flv) + BI_tmp
	end subroutine virtual_compute_eikonals

	@ %def virtual_compute_eikonals
	@
	<<virtual: virtual: TBP>>=
	procedure :: compute_eikonals_threshold => virtual_compute_eikonals_threshold
	<<virtual: procedures>>=
	subroutine virtual_compute_eikonals_threshold (virtual, i_flv, &
	p_born, s_o_Q2, QB, BI)
	class(virtual_t), intent(in) :: virtual
	integer, intent(in) :: i_flv
	type(vector4_t), intent(in), dimension(:) :: p_born
	real(default), intent(in) :: s_o_Q2
	real(default), intent(inout), dimension(:) :: QB
	real(default), intent(inout), dimension(:) :: BI
	type(vector4_t), dimension(4) :: p_thr
	integer :: leg
	BI = zero; p_thr = get_threshold_momenta (p_born)
	call compute_massive_self_eikonals (virtual%sqme_born(i_flv), QB(i_flv))
	do leg = 1, 2
	BI(i_flv) = BI(i_flv) + evaluate_leg_pair (ASSOCIATED_LEG_PAIR(leg), i_flv)
	end do
	contains
	subroutine compute_massive_self_eikonals (sqme_born, QB)
	real(default), intent(in) :: sqme_born
	real(default), intent(inout) :: QB
	integer :: i
	if (debug_on) call msg_debug2 (D_VIRTUAL, "compute_massive_self_eikonals")
	if (debug_on) call msg_debug2 (D_VIRTUAL, "s_o_Q2", s_o_Q2)
	if (debug_on) call msg_debug2 (D_VIRTUAL, "log (s_o_Q2)", log (s_o_Q2))
	do i = 1, 4
	QB = QB - (cf * (log (s_o_Q2) - 0.5_default * I_m_eps (p_thr(i)))) &
	* sqme_born
	end do
	end subroutine compute_massive_self_eikonals

	function evaluate_leg_pair (i_start, i_flv) result (b_ij_times_I)
	real(default) :: b_ij_times_I
	integer, intent(in) :: i_start, i_flv
	real(default) :: I_ij
	integer :: i, j
	b_ij_times_I = zero
	do i = i_start, i_start + 1
	do j = i_start, i_start + 1
	if (i /= j) then
	I_ij = compute_eikonal_factor &
	(p_thr, [.true., .true., .true., .true.], i, j, s_o_Q2)
	b_ij_times_I = b_ij_times_I + &
	virtual%sqme_color_c (i, j, i_flv) * I_ij
	if (debug2_active (D_VIRTUAL)) &
	print *, 'b_ij: ', virtual%sqme_color_c (i, j, i_flv), 'I_ij: ', I_ij
	end if
	end do
	end do
	if (virtual%settings%use_internal_color_correlations) &
	b_ij_times_I = b_ij_times_I * virtual%sqme_born (i_flv)
	if (debug2_active (D_VIRTUAL)) then
	print *, 'internal color: ', virtual%settings%use_internal_color_correlations
	print *, 'b_ij_times_I = ', b_ij_times_I
	print *, 'QB = ', QB
	end if
	end function evaluate_leg_pair
	end subroutine virtual_compute_eikonals_threshold

	@ %def virtual_compute_eikonals_threshold
	@
	<<virtual: virtual: TBP>>=
	procedure :: set_bad_point => virtual_set_bad_point
	<<virtual: procedures>>=
	subroutine virtual_set_bad_point (virt, value)
	class(virtual_t), intent(inout) :: virt
	logical, intent(in) :: value
	virt%bad_point = value
	end subroutine virtual_set_bad_point

	@ %def virtual_set_bad_point
	@ The collinear limit of $\tilde{\mathcal{R}}$ can be integrated over the radiation
	degrees of freedom, giving the collinear contribution to the virtual component. Its
	general structure is $\mathcal{Q} \cdot \mathcal{B}$. The initial-state contribution
	to $\mathcal{Q}$ is simply given by
	\begin{equation}
	\label{eqn:virt_Q_isr}
	\mathcal{Q} = -\log\frac{\mu_F^2}{Q^2} \left(\gamma(\mathcal{I}_1) + 2 C (\mathcal{I}_1) \log(\xi_{\text{cut}}) + \gamma(\mathcal{I}_2) + 2 C (\mathcal{I}_2) \log(\xi_{\text{cut}}) \right),
	\end{equation}
	where $Q^2$ is the Ellis-Sexton scale and $\gamma$ is as in eqns. \ref{eqn:gamma(q)}
	and \ref{eqn:gamma(g)}.\\
	[[virtual_evaluate_initial_state]] computes this quantity. The loop over the
	initial-state particles is only executed if we are
	dealing with a scattering process, because for decays there are no virtual
	initial-initial interactions.
	<<virtual: virtual: TBP>>=
	procedure :: evaluate_initial_state => virtual_evaluate_initial_state
	<<virtual: procedures>>=
	subroutine virtual_evaluate_initial_state (virt, i_flv, QB)
	class(virtual_t), intent(inout) :: virt
	integer, intent(in) :: i_flv
	real(default), intent(inout), dimension(:) :: QB
	integer :: i
	if (virt%n_in == 2) then
	do i = 1, virt%n_in
	QB(i_flv) = QB(i_flv) - (virt%gamma_0 (i, i_flv) + two * virt%c_flv(i, i_flv) &
	* log (virt%settings%fks_template%xi_cut)) &
	* log(virt%fac_scale*2 / virt%es_scale2) virt%sqme_born (i_flv)
	end do
	end if
	end subroutine virtual_evaluate_initial_state

	@ %def virtual_evaluate_initial_state
	@ Same as above, but for final-state particles. The collinear limit for final-state
	particles follows from the integral
	\begin{equation*}
	I_{+,\alpha_r} = \int d\Phi_{n+1} \frac{\xi_+^{-1-2\epsilon}}{\xi^{-1-2\epsilon}} \mathcal{R}_{\alpha_r}.
	\end{equation*}
	We can distinguish three situations:
	\begin{enumerate}
	\item $\alpha_r$ contains a massive emitter. In this case, no collinear subtraction term is required and
	the integral above is irrelevant.
	\item $\alpha_r$ contains a massless emitter, but resonances are not taken into account in the subtraction.
	Here, $\xi_{max} = \frac{2E_{em}}{\sqrt{s}}$ is the upper bound on $\xi$.
	\item $\alpha_r$ contains a massless emitter and resonance-aware subtraction is used. Here,
	$\xi_{max} = \frac{2E_{em}}{\sqrt{k_{res}^2}}$.
	\end{enumerate}
	Before version 2.4, only situations 1 and 2 were covered. The difference between situation 2 and 3 comes
	from the expansion of the plus-distribution in the integral above,
	\begin{equation*}
	\xi_+^{-1-2\epsilon} = \xi^{-1-2\epsilon} + \frac{1}{2\epsilon}\delta(\xi)
	= \xi_{max}^{-1-2\epsilon}\left[(1-z)^{-1-2\epsilon} + \frac{\xi_{max}^{2\epsilon}}{2\epsilon}\delta(1-z)\right].
	\end{equation*}
	The expression from the standard FKS literature is given by
	$\mathcal{Q}$ is given by
	\begin{equation}
	\label{eqn:virt_Q_fsr_old}
	\begin{split}
	\mathcal{Q} = \sum_{k=n_{in}}^{n_L^{(B)}} \left[\gamma'(\mathcal{I}_k)
	- \log\frac{s\delta_o}{2Q^2}\left(\gamma(\mathcal{I}_k)
	- 2C(\mathcal{I}_k) \log\frac{2E_k}{\xi_{\text{cut}}\sqrt{s}}\right) \right.\\
	+ \left. 2C(\mathcal{I}_k) \left( \log^2\frac{2E_k}{\sqrt{s}} - \log^2 \xi_{\text{cut}} \right)
	- 2\gamma(\mathcal{I}_k)\log\frac{2E_k}{\sqrt{s}}\right].
	\end{split}
	\end{equation}
	$n_L^{(B)}$ is the number of legs at Born level.
	Here, $\xi_{max}$ is implicitly present in the ratios in the logarithms. Using the resonance-aware $\xi_{max}$ yields
	\begin{equation}
	\label{eqn:virt_Q_fsr}
	\begin{split}
	\mathcal{Q} = \sum_{k=n_{in}}^{n_L^{(B)}} \left[\gamma'(\mathcal{I}_k)
	+ 2\left(\log\frac{\sqrt{s}}{2E_{em}} + \log\xi_{max}\right)
	\left(\log\frac{\sqrt{s}}{2E_{em}} + \log\xi_{max} + \log\frac{Q^2}{s}\right) C(\mathcal{I}_k) \right.\\
	+ \left. 2 \log\xi_{max} \left(\log\xi_{max} - \log\frac{Q^2}{k_{res}^2}\right) C(\mathcal{I}_k)
	+ \left(\log\frac{Q^2}{k_{res}^2} - 2 \log\xi_{max}\right) \gamma(\mathcal{I}_k)\right].
	\end{split}
	\end{equation}
	Equation \ref{eqn:virt_Q_fsr} leads to \ref{eqn:virt_Q_fsr_old} with the substitutions $\xi_{max} \rightarrow \frac{2E_{em}}{\sqrt{s}}$ and $k_{res}^2 \rightarrow s$.
	[[virtual_compute_collinear_contribution]] only implements the second one.
	<<virtual: virtual: TBP>>=
	procedure :: compute_collinear_contribution &
	=> virtual_compute_collinear_contribution
	<<virtual: procedures>>=
	subroutine virtual_compute_collinear_contribution (virt, i_flv, &
	p_born, sqrts, reg_data, QB)
	class(virtual_t), intent(inout) :: virt
	integer, intent(in) :: i_flv
	type(vector4_t), dimension(:), intent(in) :: p_born
	real(default), intent(in) :: sqrts
	type(region_data_t), intent(in) :: reg_data
	real(default), intent(inout), dimension(:) :: QB
	real(default) :: s1, s2, s3, s4, s5
	integer :: alr, em
	real(default) :: E_em, xi_max, log_xi_max, E_tot2
	logical, dimension(virt%n_flv, virt%n_legs) :: evaluated
	integer :: i_contr
	type(vector4_t) :: k_res
	type(lorentz_transformation_t) :: L_to_resonance
	evaluated = .false.
	do alr = 1, reg_data%n_regions
	if (i_flv /= reg_data%regions(alr)%uborn_index) cycle
	em = reg_data%regions(alr)%emitter
	if (em <= virt%n_in) cycle
	if (evaluated(i_flv, em)) cycle
	!!! Collinear terms only for massless particles
	if (reg_data%regions(alr)%flst_uborn%massive(em)) cycle
	E_em = p_born(em)%p(0)
	if (allocated (reg_data%alr_contributors)) then
	i_contr = reg_data%alr_to_i_contributor (alr)
	k_res = get_resonance_momentum (p_born, reg_data%alr_contributors(i_contr)%c)
	E_tot2 = k_res%p(0)**2
	L_to_resonance = inverse (boost (k_res, k_res**1))
	xi_max = two * space_part_norm (L_to_resonance * p_born(em)) / k_res%p(0)
	else
	E_tot2 = sqrts**2
	xi_max = two * E_em / sqrts
	end if
	log_xi_max = log (xi_max)
	associate (xi_cut => virt%settings%fks_template%xi_cut, delta_o => virt%settings%fks_template%delta_o)
	if (virt%settings%virtual_resonance_aware_collinear) then
	if (debug_active (D_VIRTUAL)) &
	call msg_debug (D_VIRTUAL, "Using resonance-aware collinear subtraction")
	s1 = virt%gamma_p(em, i_flv)
	s2 = two * (log (sqrts / (two * E_em)) + log_xi_max) * &
	(log (sqrts / (two * E_em)) + log_xi_max + log (virt%es_scale2 / sqrts**2)) &
	* virt%c_flv(em, i_flv)
	s3 = two * log_xi_max * &
	(log_xi_max - log (virt%es_scale2 / E_tot2)) * virt%c_flv(em, i_flv)
	s4 = (log (virt%es_scale2 / E_tot2) - two * log_xi_max) * virt%gamma_0(em, i_flv)
	QB(i_flv) = QB(i_flv) + (s1 + s2 + s3 + s4) * virt%sqme_born(i_flv)
	else
	if (debug_active (D_VIRTUAL)) &
	call msg_debug (D_VIRTUAL, "Using old-fashioned collinear subtraction")
	s1 = virt%gamma_p(em, i_flv)
	s2 = log (delta_o * sqrts*2 / (two virt%es_scale2)) * virt%gamma_0(em,i_flv)
	s3 = log (delta_o * sqrts*2 / (two virt%es_scale2)) * two * virt%c_flv(em,i_flv) * &
	log (two * E_em / (xi_cut * sqrts))
	! s4 = two * virt%c_flv(em,i_flv) * (log (two * E_em / sqrts)2 - log (xi_cut)2)
	s4 = two * virt%c_flv(em,i_flv) * & ! a2 - b2 = (a - b) * (a + b), for better numerical performance
	(log (two * E_em / sqrts) + log (xi_cut)) * (log (two * E_em / sqrts) - log (xi_cut))
	s5 = two * virt%gamma_0(em,i_flv) * log (two * E_em / sqrts)
	QB(i_flv) = QB(i_flv) + (s1 - s2 + s3 + s4 - s5) * virt%sqme_born(i_flv)
	end if
	end associate
	evaluated(i_flv, em) = .true.
	end do
	end subroutine virtual_compute_collinear_contribution

	@ %def virtual_compute_collinear_contribution
	@ For the massless-massive case and $i = j$ we get the massive self-eikonal of (A.10) in arXiv:0908.4272, given as
	\begin{equation}
	\mathcal{I}_{ii} = \log \frac{\xi^2_{\text{cut}}s}{Q^2} - \frac{1}{\beta} \log \frac{1 + \beta}{1 - \beta}.
	\end{equation}
	<<virtual: virtual: TBP>>=
	procedure :: compute_massive_self_eikonals => virtual_compute_massive_self_eikonals
	<<virtual: procedures>>=
	subroutine virtual_compute_massive_self_eikonals (virt, i_flv, &
	p_born, s_over_Q2, reg_data, QB)
	class(virtual_t), intent(inout) :: virt
	integer, intent(in) :: i_flv
	type(vector4_t), intent(in), dimension(:) :: p_born
	real(default), intent(in) :: s_over_Q2
	type(region_data_t), intent(in) :: reg_data
	real(default), intent(inout), dimension(:) :: QB
	integer :: i
	logical :: massive
	do i = 1, virt%n_legs
	massive = reg_data%flv_born(i_flv)%massive(i)
	if (massive) then
	QB(i_flv) = QB(i_flv) - (virt%c_flv (i, i_flv) &
	* (log (s_over_Q2) - 0.5_default * I_m_eps (p_born(i)))) &
	* virt%sqme_born (i_flv)
	end if
	end do
	end subroutine virtual_compute_massive_self_eikonals

	@ %def virtual_compute_massive_self_eikonals
	@ The following code implements the $\mathcal{I}_{ij}$-function.
	The complete formulas can be found in arXiv:0908.4272 (A.1-A.17) and are also discussed in arXiv:1002.2581 in Appendix A.
	The implementation may differ in the detail from the formulas presented in the above paper.
	The parameter $\xi_{\text{cut}}$ is unphysically and cancels with appropriate factors in the real subtraction.
	We keep the additional parameter for debug usage.
	The implemented formulas are then defined as follows:
	\begin{itemize}
	\item[massless-massless case]
	$p^2 = 0, k^2 = 0,$
	\begin{equation}
	\begin{split}
	\mathcal{I}_{ij} &= \frac{1}{2}\log^2\frac{\xi^2_{\text{cut}}s}{Q^2} + \log\frac{\xi^2_{\text{cut}}s}{Q^2}\log\frac{k_ik_j}{2E_iE_j} - \rm{Li}_2\left(\frac{k_ik_j}{2E_iE_j}\right) \\
	&+ \frac{1}{2}\log^2\frac{k_ik_j}{2E_iE_j} - \log\left(1-\frac{k_ik_j}{2E_iE_j}\right) \log\frac{k_ik_j}{2E_iE_j}.
	\end{split}
	\label{I_00}
	\end{equation}
	\item[massive-massive case]
	$p^2 \neq 0, k^2 \neq 0,$
	\begin{equation}
	\mathcal{I}_{ij} = \frac{1}{2}I_0(k_i, k_j)\log\frac{\xi^2_{\text{cut}}s}{Q^2} - \frac{1}{2}I_\epsilon(k_i,k_j)
	\label{I_mm}
	\end{equation}
	with
	\begin{equation}
	I_0(k_i, k_j) = \frac{1}{\beta}\log\frac{1+\beta}{1-\beta}, \qquad \beta = \sqrt{1-\frac{k_i^2k_j^2}{(k_i \cdot k_j)^2}}
	\end{equation}
	and a rather involved expression for $I_\epsilon$:
	\begin{align}
	\allowdisplaybreaks
	I_\epsilon(k_i, k_j) &= \left(K(z_j)-K(z_i)\right) \frac{1-\vec{\beta_i}\cdot\vec{\beta_j}}{\sqrt{a(1-b)}}, \\
	\vec{\beta_i} &= \frac{\vec{k}_i}{k_i^0}, \\
	a &= \beta_i^2 + \beta_j^2 - 2\vec{\beta}_i \cdot \vec{\beta}_j, \\
	x_i &= \frac{\beta_i^2 -\vec{\beta}_i \cdot \vec{\beta}_j}{a}, \\
	x_j &= \frac{\beta_j^2 -\vec{\beta}_i \cdot \vec{\beta}_j}{a} = 1-x_j, \\
	b &= \frac{\beta_i^2\beta_j^2 - (\vec{\beta}_i\cdot\vec{\beta}_j)^2}{a}, \\
	c &= \sqrt{\frac{b}{4a}}, \\
	z_+ &= \frac{1+\sqrt{1-b}}{\sqrt{b}}, \\
	z_- &= \frac{1-\sqrt{1-b}}{\sqrt{b}}, \\
	z_i &= \frac{\sqrt{x_i^2 + 4c^2} - x_i}{2c}, \\
	z_j &= \frac{\sqrt{x_j^2 + 4c^2} + x_j}{2c}, \\
	K(z) = &-\frac{1}{2}\log^2\frac{(z-z_-)(z_+-z)}{(z_++z)(z_-+z)} - 2Li_2\left(\frac{2z_-(z_+-z)}{(z_+-z_-)(z_-+z)}\right) \\
	&-2Li_2\left(-\frac{2z_+(z_-+z)}{(z_+-z_-)(z_+-z)}\right)
	\end{align}

	\item[massless-massive case]
	$p^2 = 0, k^2 \neq 0,$
	\begin{equation}
	\mathcal{I}_{ij} = \frac{1}{2}\left[\frac{1}{2}\log^2\frac{\xi^2_{\text{cut}}s}{Q^2} - \frac{\pi^2}{6}\right] + \frac{1}{2}I_0(k_i,k_j)\log\frac{\xi^2_{\text{cut}}s}{Q^2} - \frac{1}{2}I_\epsilon(k_i,k_j)
	\label{I_0m}
	\end{equation}
	with
	\begin{align}
	I_0(p,k) &= \log\frac{(\hat{p}\cdot\hat{k})^2}{\hat{k}^2}, \\
	I_\varepsilon(p,k) &= -2\left[\frac{1}{4}\log^2\frac{1-\beta}{1+\beta} + \log\frac{\hat{p}\cdot\hat{k}}{1+\beta}\log\frac{\hat{p}\cdot\hat{k}}{1-\beta} + \rm{Li}_2\left(1-\frac{\hat{p}\cdot\hat{k}}{1+\beta}\right) + \rm{Li}_2\left(1-\frac{\hat{p}\cdot\hat{k}}{1-\beta}\right)\right],
	\end{align}
	using
	\begin{align}
	\hat{p} = \frac{p}{p^0}, \quad \hat{k} = \frac{k}{k^0}, \quad \beta = \frac{\|\vec{k}\|}{k_0}, \\
	\rm{Li}_2(1 - x) + \rm{Li}_2(1 - x^{-1}) = -\frac{1}{2} \log^2 x.
	\end{align}

	\end{itemize}

	<<virtual: procedures>>=
	function compute_eikonal_factor (p_born, massive, i, j, s_o_Q2) result (I_ij)
	real(default) :: I_ij
	type(vector4_t), intent(in), dimension(:) :: p_born
	logical, dimension(:), intent(in) :: massive
	integer, intent(in) :: i, j
	real(default), intent(in) :: s_o_Q2
	if (massive(i) .and. massive(j)) then
	I_ij = compute_Imm (p_born(i), p_born(j), s_o_Q2)
	else if (.not. massive(i) .and. massive(j)) then
	I_ij = compute_I0m (p_born(i), p_born(j), s_o_Q2)
	else if (massive(i) .and. .not. massive(j)) then
	I_ij = compute_I0m (p_born(j), p_born(i), s_o_Q2)
	else
	I_ij = compute_I00 (p_born(i), p_born(j), s_o_Q2)
	end if
	end function compute_eikonal_factor

	function compute_I00 (pi, pj, s_o_Q2) result (I)
	type(vector4_t), intent(in) :: pi, pj
	real(default), intent(in) :: s_o_Q2
	real(default) :: I
	real(default) :: Ei, Ej
	real(default) :: pij, Eij
	real(default) :: s1, s2, s3, s4, s5
	real(default) :: arglog
	real(default), parameter :: tiny_value = epsilon(1.0)
	s1 = 0; s2 = 0; s3 = 0; s4 = 0; s5 = 0
	Ei = pi%p(0); Ej = pj%p(0)
	pij = pi * pj; Eij = Ei * Ej
	s1 = 0.5_default * log(s_o_Q2)**2
	s2 = log(s_o_Q2) * log(pij / (two * Eij))
	s3 = Li2 (pij / (two * Eij))
	s4 = 0.5_default * log (pij / (two * Eij))**2
	arglog = one - pij / (two * Eij)
	if (arglog > tiny_value) then
	s5 = log(arglog) * log(pij / (two * Eij))
	else
	s5 = zero
	end if
	I = s1 + s2 - s3 + s4 - s5
	end function compute_I00

	function compute_I0m (ki, kj, s_o_Q2) result (I)
	type(vector4_t), intent(in) :: ki, kj
	real(default), intent(in) :: s_o_Q2
	real(default) :: I
	real(default) :: logsomu
	real(default) :: s1, s2, s3
	s1 = 0; s2 = 0; s3 = 0
	logsomu = log(s_o_Q2)
	s1 = 0.5 * (0.5 * logsomu2 - pi2 / 6)
	s2 = 0.5 * I_0m_0 (ki, kj) * logsomu
	s3 = 0.5 * I_0m_eps (ki, kj)
	I = s1 + s2 - s3
	end function compute_I0m

	function compute_Imm (pi, pj, s_o_Q2) result (I)
	type(vector4_t), intent(in) :: pi, pj
	real(default), intent(in) :: s_o_Q2
	real(default) :: I
	real(default) :: s1, s2
	s1 = 0.5 * log(s_o_Q2) * I_mm_0(pi, pj)
	s2 = 0.5 * I_mm_eps(pi, pj)
	I = s1 - s2
	end function compute_Imm

	function I_m_eps (p) result (I)
	type(vector4_t), intent(in) :: p
	real(default) :: I
	real(default) :: beta
	beta = space_part_norm (p)/p%p(0)
	if (beta < tiny_07) then
	I = four * (one + beta2/3 + beta4/5 + beta**6/7)
	else
	I = two * log((one + beta) / (one - beta)) / beta
	end if
	end function I_m_eps

	function I_0m_eps (p, k) result (I)
	type(vector4_t), intent(in) :: p, k
	real(default) :: I
	type(vector4_t) :: pp, kp
	real(default) :: beta

	pp = p / p%p(0); kp = k / k%p(0)

	beta = sqrt (one - kp*kp)
	I = -2(log((one - beta) / (one + beta))2/4 + log((ppkp) / (one + beta))log((ppkp) / (one - beta)) &
	+ Li2(one - (ppkp) / (one + beta)) + Li2(one - (ppkp) / (one - beta)))
	end function I_0m_eps

	function I_0m_0 (p, k) result (I)
	type(vector4_t), intent(in) :: p, k
	real(default) :: I
	type(vector4_t) :: pp, kp

	pp = p / p%p(0); kp = k / k%p(0)
	I = log((ppkp)2 / kp*2)
	end function I_0m_0

	function I_mm_eps (p1, p2) result (I)
	type(vector4_t), intent(in) :: p1, p2
	real(default) :: I
	type(vector3_t) :: beta1, beta2
	real(default) :: a, b, b2
	real(default) :: zp, zm, z1, z2, x1, x2
	real(default) :: zmb, z1b
	real(default) :: K1, K2

	beta1 = space_part (p1) / energy(p1)
	beta2 = space_part (p2) / energy(p2)
	a = beta12 + beta22 - 2 * beta1 * beta2
	b = beta1*2 beta2*2 - (beta1 beta2)**2
	if (beta11 > beta21) call switch_beta (beta1, beta2)
	if (beta1 == vector3_null) then
	b2 = beta2**1
	I = (-0.5 * log ((one - b2) / (one + b2))*2 - two Li2 (-two * b2 / (one - b2))) &
	* one / sqrt (a - b)
	return
	end if
	x1 = beta1*2 - beta1 beta2
	x2 = beta2*2 - beta1 beta2
	zp = sqrt (a) + sqrt (a - b)
	zm = sqrt (a) - sqrt (a - b)
	zmb = one / zp
	z1 = sqrt (x1**2 + b) - x1
	z2 = sqrt (x2**2 + b) + x2
	z1b = one / (sqrt (x1**2 + b) + x1)
	K1 = - 0.5 * log (((z1b - zmb) * (zp - z1)) / ((zp + z1) * (z1b + zmb)))**2 &
	- two * Li2 ((two * zmb * (zp - z1)) / ((zp - zm) * (zmb + z1b))) &
	- two * Li2 ((-two * zp * (zm + z1)) / ((zp - zm) * (zp - z1)))
	K2 = - 0.5 * log ((( z2 - zm) * (zp - z2)) / ((zp + z2) * (z2 + zm)))**2 &
	- two * Li2 ((two * zm * (zp - z2)) / ((zp - zm) * (zm + z2))) &
	- two * Li2 ((-two * zp * (zm + z2)) / ((zp - zm) * (zp - z2)))
	I = (K2 - K1) * (one - beta1 * beta2) / sqrt (a - b)
	contains
	subroutine switch_beta (beta1, beta2)
	type(vector3_t), intent(inout) :: beta1, beta2
	type(vector3_t) :: beta_tmp
	beta_tmp = beta1
	beta1 = beta2
	beta2 = beta_tmp
	end subroutine switch_beta
	end function I_mm_eps

	function I_mm_0 (k1, k2) result (I)
	type(vector4_t), intent(in) :: k1, k2
	real(default) :: I
	real(default) :: beta
	beta = sqrt (one - k1*2 k2*2 / (k1 k2)**2)
	I = log ((one + beta) / (one - beta)) / beta
	end function I_mm_0

	@ %def I_mm_0
	@
	<<virtual: virtual: TBP>>=
	procedure :: final => virtual_final
	<<virtual: procedures>>=
	subroutine virtual_final (virtual)
	class(virtual_t), intent(inout) :: virtual
	if (allocated (virtual%gamma_0)) deallocate (virtual%gamma_0)
	if (allocated (virtual%gamma_p)) deallocate (virtual%gamma_p)
	if (allocated (virtual%c_flv)) deallocate (virtual%c_flv)
	if (allocated (virtual%n_is_neutrinos)) deallocate (virtual%n_is_neutrinos)
	end subroutine virtual_final

	@ %def virtual_final
	@
	\clearpage
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\section{Real Subtraction}
	<<[[real_subtraction.f90]]>>=
	<<File header>>

	module real_subtraction

	<<Use kinds with double>>
	<<Use strings>>
	<<Use debug>>
	use io_units
	use format_defs, only: FMT_15
	use string_utils
	use constants
	use numeric_utils
	use diagnostics
	use pdg_arrays
	use models
	use physics_defs
	use sm_physics
	use lorentz
	use flavors
	use phs_fks, only: real_kinematics_t, isr_kinematics_t
	use phs_fks, only: I_PLUS, I_MINUS
	use phs_fks, only: SQRTS_VAR, SQRTS_FIXED
	use phs_fks, only: phs_point_set_t
	use ttv_formfactors, only: m1s_to_mpole

	use fks_regions
	use nlo_data

	<<Standard module head>>

	<<real subtraction: public>>

	<<real subtraction: parameters>>

	<<real subtraction: types>>

	<<real subtraction: interfaces>>

	contains

	<<real subtraction: procedures>>

	end module real_subtraction
	@ %def real_subtraction
	@
	\subsubsection{Soft subtraction terms}
	<<real subtraction: parameters>>=
	integer, parameter, public :: INTEGRATION = 0
	integer, parameter, public :: FIXED_ORDER_EVENTS = 1
	integer, parameter, public :: POWHEG = 2

	@ %def real subtraction parameters
	@
	<<real subtraction: public>>=
	public :: this_purpose
	<<real subtraction: procedures>>=
	function this_purpose (purpose)
	type(string_t) :: this_purpose
	integer, intent(in) :: purpose
	select case (purpose)
	case (INTEGRATION)
	this_purpose = var_str ("Integration")
	case (FIXED_ORDER_EVENTS)
	this_purpose = var_str ("Fixed order NLO events")
	case (POWHEG)
	this_purpose = var_str ("Powheg events")
	case default
	this_purpose = var_str ("Undefined!")
	end select
	end function this_purpose

	@ %def this_purpose
	@
	In the soft limit, the real matrix element behaves as
	\begin{equation*}
	\mathcal{R}_{\rm{soft}} = 4\pi\alpha_s \left[\sum_{i \neq j}
	\mathcal{B}_{ij} \frac{k_i \cdot k_j}{(k_i \cdot k)(k_j \cdot k)}
	- \mathcal{B} \sum_{i} \frac{k_i^2}{(k_i \cdot k)^2}C_i\right],
	\end{equation*}
	where $k$ denotes the momentum of the emitted parton. The quantity $\mathcal{B}_{ij}$ is called the color-correlated Born matrix element defined as
	\begin{equation*}
	\mathcal{B}_{ij} = \frac{1}{2s} \sum_{\stackrel{colors}{spins}} \mathcal{M}_{\{c_k\}}\left(\mathcal{M}^\dagger_{\{c_k\}}\right)_{\stackrel{c_i \rightarrow c_i'}{c_j \rightarrow c_j'}} T^a_{c_i,c_i'} T^a_{c_j,c_j'}.
	\end{equation*}
	<<real subtraction: types>>=
	type :: soft_subtraction_t
	type(region_data_t), pointer :: reg_data => null ()
	real(default), dimension(:,:), allocatable :: momentum_matrix
	logical :: use_resonance_mappings = .false.
	type(vector4_t) :: p_soft = vector4_null
	logical :: use_internal_color_correlations = .true.
	logical :: use_internal_spin_correlations = .false.
	logical :: xi2_expanded = .true.
	integer :: factorization_mode = NO_FACTORIZATION
	contains
	<<real subtraction: soft sub: TBP>>
	end type soft_subtraction_t

	@ %def soft_subtraction_t
	@
	<<real subtraction: soft sub: TBP>>=
	procedure :: init => soft_subtraction_init
	<<real subtraction: procedures>>=
	subroutine soft_subtraction_init (sub_soft, reg_data)
	class(soft_subtraction_t), intent(inout) :: sub_soft
	type(region_data_t), intent(in), target :: reg_data
	sub_soft%reg_data => reg_data
	allocate (sub_soft%momentum_matrix (reg_data%n_legs_born, &
	reg_data%n_legs_born))
	end subroutine soft_subtraction_init

	@ %def soft_subtraction_init
	@
	<<real subtraction: soft sub: TBP>>=
	procedure :: requires_boost => soft_subtraction_requires_boost
	<<real subtraction: procedures>>=
	function soft_subtraction_requires_boost (sub_soft, sqrts) result (requires_boost)
	logical :: requires_boost
	class(soft_subtraction_t), intent(in) :: sub_soft
	real(default), intent(in) :: sqrts
	real(default) :: mtop
	logical :: above_threshold
	if (sub_soft%factorization_mode == FACTORIZATION_THRESHOLD) then
	mtop = m1s_to_mpole (sqrts)
	above_threshold = sqrts*2 - four mtop**2 > zero
	else
	above_threshold = .false.
	end if
	requires_boost = sub_soft%use_resonance_mappings .or. above_threshold
	end function soft_subtraction_requires_boost

	@ %def soft_subtraction_requires_boost
	@ The treatment of the momentum $k$ follows the discussion about the
	-soft limit of the partition functions (ref????). The parton momentum is
	+soft limit of the partition functions (see [1002.2581], p. 29 and
	+C. Weiss' PhD Thesis, p. 24). The parton momentum is
	pulled out, $k = E \hat{k}$. In fact, we will substitute $\hat{k}$ for
	$k$ throughout the code, because the energy will factor out of the
	-equation when the soft $\mathcal{S}$-function is multiplied. The soft
	-momentum is a unit vector, because $k^2 = \left(k^0\right)^2 -
	-\left(k^0\right)^2\hat{\vec{k}}^2 = 0$.
	+equation when the soft $\mathcal{S}$-function is multiplied. The
	+momentum [[p_soft]] represents the soft limit of the radiated particle
	+divided by its energy. It is a unit vector, because
	+$k^2 = \left(k^0\right)^2 - \left(k^0\right)^2\hat{\vec{k}}^2 = 0$.

	The soft momentum is constructed by first creating a unit vector
	parallel to the emitter's Born momentum. This unit vector is then
	-rotated about the corresponding angles $y$ and $\phi$.
	+rotated about the corresponding angles $y$ and $\phi$ to match
	+the direction of the real radiation in the soft limit.
	<<real subtraction: soft sub: TBP>>=
	procedure :: create_softvec_fsr => soft_subtraction_create_softvec_fsr
	<<real subtraction: procedures>>=
	subroutine soft_subtraction_create_softvec_fsr &
	(sub_soft, p_born, y, phi, emitter, xi_ref_momentum)
	class(soft_subtraction_t), intent(inout) :: sub_soft
	type(vector4_t), intent(in), dimension(:) :: p_born
	real(default), intent(in) :: y, phi
	integer, intent(in) :: emitter
	type(vector4_t), intent(in) :: xi_ref_momentum
	type(vector3_t) :: dir
	type(vector4_t) :: p_em
	type(lorentz_transformation_t) :: rot
	type(lorentz_transformation_t) :: boost_to_rest_frame
	logical :: requires_boost
	associate (p_soft => sub_soft%p_soft)
	p_soft%p(0) = one
	requires_boost = sub_soft%requires_boost (two * p_born(1)%p(0))
	if (requires_boost) then
	boost_to_rest_frame = inverse (boost (xi_ref_momentum, xi_ref_momentum**1))
	p_em = boost_to_rest_frame * p_born(emitter)
	else
	p_em = p_born(emitter)
	end if
	p_soft%p(1:3) = p_em%p(1:3) / space_part_norm (p_em)
	dir = create_orthogonal (space_part (p_em))
	rot = rotation (y, sqrt(one - y**2), dir)
	p_soft = rot * p_soft
	if (.not. vanishes (phi)) then
	dir = space_part (p_em) / space_part_norm (p_em)
	rot = rotation (cos(phi), sin(phi), dir)
	p_soft = rot * p_soft
	end if
	if (requires_boost) p_soft = inverse (boost_to_rest_frame) * p_soft
	end associate
	end subroutine soft_subtraction_create_softvec_fsr

	@ %def soft_subtraction_create_softvec_fsr
	@ For initial-state emissions, the soft vector is just a unit vector
	with the same direction as the radiated particle.
	+As $y$ for ISR is defined independently of the emitter, also [[p_soft]]
	+is the same for all initial state emitters.
	<<real subtraction: soft sub: TBP>>=
	procedure :: create_softvec_isr => soft_subtraction_create_softvec_isr
	<<real subtraction: procedures>>=
	subroutine soft_subtraction_create_softvec_isr (sub_soft, y, phi)
	class(soft_subtraction_t), intent(inout) :: sub_soft
	real(default), intent(in) :: y, phi
	real(default) :: sin_theta
	sin_theta = sqrt(one - y**2)
	associate (p => sub_soft%p_soft%p)
	p(0) = one
	p(1) = sin_theta * sin(phi)
	p(2) = sin_theta * cos(phi)
	p(3) = y
	end associate
	end subroutine soft_subtraction_create_softvec_isr

	@ %def soft_subtraction_create_softvec_isr
	@ The soft vector for the real mismatch is basically the same as for usual FSR,
	except for the scaling with the total gluon energy. Moreover, the resulting
	vector is rotated into the frame where the 3-axis points along the direction
	of the emitter. This is necessary because in the collinear limit, the approximation
	\begin{equation*}
	k_i = \frac{k_i^0}{\bar{k}_j^0} \bar{k}_j = \frac{\xi\sqrt{s}}{2\bar{k}_j^0}\bar{k}_j
	\end{equation*}
	is used. The collinear limit is not included in the soft mismatch yet, but we keep
	the rotation for future usage here already (the performance loss is negligible).
	<<real subtraction: soft sub: TBP>>=
	procedure :: create_softvec_mismatch => &
	soft_subtraction_create_softvec_mismatch
	<<real subtraction: procedures>>=
	subroutine soft_subtraction_create_softvec_mismatch (sub_soft, E, y, phi, p_em)
	class(soft_subtraction_t), intent(inout) :: sub_soft
	real(default), intent(in) :: E, phi, y
	type(vector4_t), intent(in) :: p_em
	real(default) :: sin_theta
	type(lorentz_transformation_t) :: rot_em_off_3_axis
	sin_theta = sqrt (one - y**2)
	associate (p => sub_soft%p_soft%p)
	p(0) = E
	p(1) = E * sin_theta * sin(phi)
	p(2) = E * sin_theta * cos(phi)
	p(3) = E * y
	end associate
	rot_em_off_3_axis = rotation_to_2nd (3, space_part (p_em))
	sub_soft%p_soft = rot_em_off_3_axis * sub_soft%p_soft
	end subroutine soft_subtraction_create_softvec_mismatch

	@ %def soft_subtraction_create_softvec_mismatch
	@ Computation of the soft limit of $R_\alpha$. Note that what we are
	actually integrating (in the case of final-state radiation) is the
	quantity $f(0,y) / \xi$, where
	\begin{equation*}
	f(\xi,y) = \frac{J(\xi,y,\phi)}{\xi} \xi^2 R_\alpha.
	\end{equation*}
	$J/\xi$ is computed by the phase space generator. The additional factor
	of $\xi^{-1}$ is supplied in the [[evaluate_region_fsr]]-routine. Thus,
	we are left with a factor of $\xi^2$. A look on the expression for the
	soft limit of $R_\alpha$ below reveals that we are factoring out the gluon
	energy $E_i$ in the denominator. Therefore, we have a factor
	$\xi^2 / E_i^2 = 4 / q^2$.\\
	Note that the same routine is used also for the computation of the soft
	mismatch. There, the gluon energy is not factored out from the soft vector,
	so that we are left with the $\xi^2$-factor, which will eventually be
	cancelled out again. So, we just multiply with 1. Both cases are
	distinguished by the flag [[xi2_expanded]].
	+
	+Note that for the soft subtraction term, also the S functions are computed
	+in the soft limit. The input momenta are thus the real momenta in the soft limit,
	+i.e. the Born momenta given by [[p_born]].
	<<real subtraction: soft sub: TBP>>=
	procedure :: compute => soft_subtraction_compute
	<<real subtraction: procedures>>=
	function soft_subtraction_compute (sub_soft, p_born, &
	born_ij, y, q2, alpha_coupling, alr, emitter, i_res) result (sqme)
	real(default) :: sqme
	class(soft_subtraction_t), intent(inout) :: sub_soft
	type(vector4_t), intent(in), dimension(:) :: p_born
	real(default), intent(in), dimension(:,:) :: born_ij
	real(default), intent(in) :: y
	real(default), intent(in) :: q2, alpha_coupling
	integer, intent(in) :: alr, emitter, i_res
	real(default) :: s_alpha_soft
	real(default) :: kb
	real(default) :: xi2_factor

	if (.not. vector_set_is_cms (p_born, sub_soft%reg_data%n_in)) then
	call vector4_write_set (p_born, show_mass = .true., &
	check_conservation = .true.)
	call msg_fatal ("Soft subtraction: phase space point must be in CMS")
	end if
	if (debug2_active (D_SUBTRACTION)) then
	select case (char (sub_soft%reg_data%regions(alr)%nlo_correction_type))
	case ("QCD")
	print *, 'Compute soft subtraction using alpha_s = ', alpha_coupling
	case ("EW")
	print *, 'Compute soft subtraction using alpha_qed = ', alpha_coupling
	end select
	end if

	s_alpha_soft = sub_soft%reg_data%get_svalue_soft (p_born, &
	sub_soft%p_soft, alr, emitter, i_res)
	if (s_alpha_soft > one + tiny_07) call msg_fatal ("s_alpha_soft > 1!")
	if (debug2_active (D_SUBTRACTION)) &
	call msg_print_color ('s_alpha_soft', s_alpha_soft, COL_YELLOW)
	select case (sub_soft%factorization_mode)
	case (NO_FACTORIZATION)
	kb = sub_soft%evaluate_factorization_default (p_born, born_ij)
	case (FACTORIZATION_THRESHOLD)
	kb = sub_soft%evaluate_factorization_threshold (thr_leg(emitter), p_born, born_ij)
	end select
	if (debug_on) call msg_debug2 (D_SUBTRACTION, 'KB', kb)
	sqme = four * pi * alpha_coupling * s_alpha_soft * kb
	if (sub_soft%xi2_expanded) then
	xi2_factor = four / q2
	else
	xi2_factor = one
	end if
	if (emitter <= sub_soft%reg_data%n_in) then
	sqme = xi2_factor * (one - y*2) sqme
	else
	sqme = xi2_factor * (one - y) * sqme
	end if
	if (sub_soft%reg_data%regions(alr)%double_fsr) sqme = sqme * two
	end function soft_subtraction_compute

	@ %def soft_subtraction_compute
	@ We loop over all external legs and do not take care to leave out non-colored
	ones because [[born_ij]] is constructed in such a way that it is only
	non-zero for colored entries.
	<<real subtraction: soft sub: TBP>>=
	procedure :: evaluate_factorization_default => &
	soft_subtraction_evaluate_factorization_default
	<<real subtraction: procedures>>=
	function soft_subtraction_evaluate_factorization_default &
	(sub_soft, p, born_ij) result (kb)
	real(default) :: kb
	class(soft_subtraction_t), intent(inout) :: sub_soft
	type(vector4_t), intent(in), dimension(:) :: p
	real(default), intent(in), dimension(:,:) :: born_ij
	integer :: i, j
	kb = zero
	call sub_soft%compute_momentum_matrix (p)
	do i = 1, size (p)
	do j = 1, size (p)
	kb = kb + sub_soft%momentum_matrix (i, j) * born_ij (i, j)
	end do
	end do
	end function soft_subtraction_evaluate_factorization_default

	@ %def soft_subtraction_evaluate_factorization_default
	@ We have to multiply this with $\xi^2(1-y)$. Further, when applying
	the soft $\mathcal{S}$-function, the energy of the radiated particle
	is factored out. Thus we have $\xi^2/E_{em}^2(1-y) = 4/q_0^2(1-y)$.
	Computes the quantity $\mathcal{K}_{ij} = \frac{k_i \cdot
	k_j}{(k_i\cdot k)(k_j\cdot k)}$.
	<<real subtraction: soft sub: TBP>>=
	procedure :: compute_momentum_matrix => &
	soft_subtraction_compute_momentum_matrix
	<<real subtraction: procedures>>=
	subroutine soft_subtraction_compute_momentum_matrix &
	(sub_soft, p_born)
	class(soft_subtraction_t), intent(inout) :: sub_soft
	type(vector4_t), intent(in), dimension(:) :: p_born
	real(default) :: num, deno1, deno2
	integer :: i, j
	do i = 1, sub_soft%reg_data%n_legs_born
	do j = 1, sub_soft%reg_data%n_legs_born
	if (i <= j) then
	num = p_born(i) * p_born(j)
	deno1 = p_born(i) * sub_soft%p_soft
	deno2 = p_born(j) * sub_soft%p_soft
	sub_soft%momentum_matrix(i, j) = num / (deno1 * deno2)
	else
	!!! momentum matrix is symmetric.
	sub_soft%momentum_matrix(i, j) = sub_soft%momentum_matrix(j, i)
	end if
	end do
	end do
	end subroutine soft_subtraction_compute_momentum_matrix

	@ %def soft_subtraction_compute_momentum_matrx
	@
	<<real subtraction: soft sub: TBP>>=
	procedure :: evaluate_factorization_threshold => &
	soft_subtraction_evaluate_factorization_threshold
	<<real subtraction: procedures>>=
	function soft_subtraction_evaluate_factorization_threshold &
	(sub_soft, leg, p_born, born_ij) result (kb)
	real(default) :: kb
	class(soft_subtraction_t), intent(inout) :: sub_soft
	integer, intent(in) :: leg
	type(vector4_t), intent(in), dimension(:) :: p_born
	real(default), intent(in), dimension(:,:) :: born_ij
	type(vector4_t), dimension(4) :: p
	p = get_threshold_momenta (p_born)
	kb = evaluate_leg_pair (ASSOCIATED_LEG_PAIR (leg))
	if (debug2_active (D_SUBTRACTION)) call show_debug ()

	contains

	function evaluate_leg_pair (i_start) result (kbb)
	real(default) :: kbb
	integer, intent(in) :: i_start
	integer :: i1, i2
	real(default) :: numerator, deno1, deno2
	kbb = zero
	do i1 = i_start, i_start + 1
	do i2 = i_start, i_start + 1
	numerator = p(i1) * p(i2)
	deno1 = p(i1) * sub_soft%p_soft
	deno2 = p(i2) * sub_soft%p_soft
	kbb = kbb + numerator * born_ij (i1, i2) / deno1 / deno2
	end do
	end do
	if (debug2_active (D_SUBTRACTION)) then
	do i1 = i_start, i_start + 1
	do i2 = i_start, i_start + 1
	call msg_print_color('i1', i1, COL_PEACH)
	call msg_print_color('i2', i2, COL_PEACH)
	call msg_print_color('born_ij (i1,i2)', born_ij (i1,i2), COL_PINK)
	print *, 'Top momentum: ', p(1)%p
	end do
	end do
	end if
	end function evaluate_leg_pair

	subroutine show_debug ()
	integer :: i
	call msg_print_color ('soft_subtraction_evaluate_factorization_threshold', COL_GREEN)
	do i = 1, 4
	print , 'sqrt(p(i)2) = ', sqrt(p(i)*2)
	end do
	end subroutine show_debug

	end function soft_subtraction_evaluate_factorization_threshold

	@ %def soft_subtraction_evaluate_factorization_threshold
	@
	<<real subtraction: soft sub: TBP>>=
	procedure :: i_xi_ref => soft_subtraction_i_xi_ref
	<<real subtraction: procedures>>=
	function soft_subtraction_i_xi_ref (sub_soft, alr, i_phs) result (i_xi_ref)
	integer :: i_xi_ref
	class(soft_subtraction_t), intent(in) :: sub_soft
	integer, intent(in) :: alr, i_phs
	if (sub_soft%use_resonance_mappings) then
	i_xi_ref = sub_soft%reg_data%alr_to_i_contributor (alr)
	else if (sub_soft%factorization_mode == FACTORIZATION_THRESHOLD) then
	i_xi_ref = i_phs
	else
	i_xi_ref = 1
	end if
	end function soft_subtraction_i_xi_ref

	@ %def soft_subtraction_i_xi_ref
	@
	<<real subtraction: soft sub: TBP>>=
	procedure :: final => soft_subtraction_final
	<<real subtraction: procedures>>=
	subroutine soft_subtraction_final (sub_soft)
	class(soft_subtraction_t), intent(inout) :: sub_soft
	if (associated (sub_soft%reg_data)) nullify (sub_soft%reg_data)
	if (allocated (sub_soft%momentum_matrix)) deallocate (sub_soft%momentum_matrix)
	end subroutine soft_subtraction_final

	@ %def soft_subtraction_final
	@
	\subsection{Soft mismatch}
	<<real subtraction: public>>=
	public :: soft_mismatch_t
	<<real subtraction: types>>=
	type :: soft_mismatch_t
	type(region_data_t), pointer :: reg_data => null ()
	real(default), dimension(:), allocatable :: sqme_born
	real(default), dimension(:,:,:), allocatable :: sqme_born_color_c
	real(default), dimension(:,:,:), allocatable :: sqme_born_charge_c
	type(real_kinematics_t), pointer :: real_kinematics => null ()
	type(soft_subtraction_t) :: sub_soft
	contains
	<<real subtraction: soft mismatch: TBP>>
	end type soft_mismatch_t

	@ %def soft_mismatch_t
	@
	<<real subtraction: soft mismatch: TBP>>=
	procedure :: init => soft_mismatch_init
	<<real subtraction: procedures>>=
	subroutine soft_mismatch_init (soft_mismatch, reg_data, &
	real_kinematics, factorization_mode)
	class(soft_mismatch_t), intent(inout) :: soft_mismatch
	type(region_data_t), intent(in), target :: reg_data
	type(real_kinematics_t), intent(in), target :: real_kinematics
	integer, intent(in) :: factorization_mode
	soft_mismatch%reg_data => reg_data
	allocate (soft_mismatch%sqme_born (reg_data%n_flv_born))
	allocate (soft_mismatch%sqme_born_color_c (reg_data%n_legs_born, &
	reg_data%n_legs_born, reg_data%n_flv_born))
	allocate (soft_mismatch%sqme_born_charge_c (reg_data%n_legs_born, &
	reg_data%n_legs_born, reg_data%n_flv_born))
	call soft_mismatch%sub_soft%init (reg_data)
	soft_mismatch%sub_soft%xi2_expanded = .false.
	soft_mismatch%real_kinematics => real_kinematics
	soft_mismatch%sub_soft%factorization_mode = factorization_mode
	end subroutine soft_mismatch_init

	@ %def soft_mismatch_init
	@ Main routine to compute the soft mismatch. Loops over all singular regions.
	There, it first creates the soft vector, then the necessary soft real matrix element.
	These inputs are then used to get the numerical value of the soft mismatch.
	<<real subtraction: soft mismatch: TBP>>=
	procedure :: evaluate => soft_mismatch_evaluate
	<<real subtraction: procedures>>=
	function soft_mismatch_evaluate (soft_mismatch, alpha_s) result (sqme_mismatch)
	real(default) :: sqme_mismatch
	class(soft_mismatch_t), intent(inout) :: soft_mismatch
	real(default), intent(in) :: alpha_s
	integer :: alr, i_born, emitter, i_res, i_phs, i_con
	real(default) :: xi, y, q2, s
	real(default) :: E_gluon
	type(vector4_t) :: p_em
	real(default) :: sqme_alr, sqme_soft
	type(vector4_t), dimension(:), allocatable :: p_born
	sqme_mismatch = zero
	associate (real_kinematics => soft_mismatch%real_kinematics)
	xi = real_kinematics%xi_mismatch
	y = real_kinematics%y_mismatch
	s = real_kinematics%cms_energy2
	E_gluon = sqrt (s) * xi / two

	if (debug_active (D_MISMATCH)) then
	print *, 'Evaluating soft mismatch: '
	print *, 'Phase space: '
	call vector4_write_set (real_kinematics%p_born_cms%get_momenta(1), &
	show_mass = .true.)
	print *, 'xi: ', xi, 'y: ', y, 's: ', s, 'E_gluon: ', E_gluon
	end if

	allocate (p_born (soft_mismatch%reg_data%n_legs_born))

	do alr = 1, soft_mismatch%reg_data%n_regions

	i_phs = real_kinematics%alr_to_i_phs (alr)
	if (soft_mismatch%reg_data%has_pseudo_isr ()) then
	i_con = 1
	p_born = soft_mismatch%real_kinematics%p_born_onshell%get_momenta(1)
	else
	i_con = soft_mismatch%reg_data%alr_to_i_contributor (alr)
	p_born = soft_mismatch%real_kinematics%p_born_cms%get_momenta(1)
	end if
	q2 = real_kinematics%xi_ref_momenta(i_con)**2
	emitter = soft_mismatch%reg_data%regions(alr)%emitter
	p_em = p_born (emitter)
	i_res = soft_mismatch%reg_data%regions(alr)%i_res
	i_born = soft_mismatch%reg_data%regions(alr)%uborn_index

	call print_debug_alr ()

	call soft_mismatch%sub_soft%create_softvec_mismatch &
	(E_gluon, y, real_kinematics%phi, p_em)
	if (debug_active (D_MISMATCH)) &
	print *, 'Created soft vector: ', soft_mismatch%sub_soft%p_soft%p

	select type (fks_mapping => soft_mismatch%reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	call fks_mapping%set_resonance_momentum &
	(real_kinematics%xi_ref_momenta(i_con))
	end select

	sqme_soft = soft_mismatch%sub_soft%compute &
	(p_born, soft_mismatch%sqme_born_color_c(:,:,i_born), y, &
	q2, alpha_s, alr, emitter, i_res)

	sqme_alr = soft_mismatch%compute (alr, xi, y, p_em, &
	real_kinematics%xi_ref_momenta(i_con), soft_mismatch%sub_soft%p_soft, &
	soft_mismatch%sqme_born(i_born), sqme_soft, &
	alpha_s, s)

	if (debug_on) call msg_debug (D_MISMATCH, 'sqme_alr: ', sqme_alr)
	sqme_mismatch = sqme_mismatch + sqme_alr

	end do
	end associate
	contains
	subroutine print_debug_alr ()
	if (debug_active (D_MISMATCH)) then
	print *, 'alr: ', alr
	print *, 'i_phs: ', i_phs, 'i_con: ', i_con, 'i_res: ', i_res
	print *, 'emitter: ', emitter, 'i_born: ', i_born
	print *, 'emitter momentum: ', p_em%p
	print *, 'resonance momentum: ', &
	soft_mismatch%real_kinematics%xi_ref_momenta(i_con)%p
	print *, 'q2: ', q2
	end if
	end subroutine print_debug_alr
	end function soft_mismatch_evaluate

	@ %def soft_mismatch_evaluate
	@ Computes the soft mismatch in a given $\alpha_r$,
	\begin{align*}
	I_{s+,\alpha_r} &= \int d\Phi_B \int_0^\infty d\xi \int_{-1}^1 dy \int_0^{2\pi} d\phi
	\frac{s\xi}{(4\pi)^3} \\
	&\times \left\lbrace\tilde{R}_{\alpha_r}
	\left(e^{-\frac{2k_\gamma \cdot k_{res}}{k_{res}}^2} - e^{-\xi}\right)
	- \frac{32 \pi \alpha_s C_{em}}{s\xi^2} B_{f_b(\alpha_r)} (1-y)^{-1}
	\left[e^{-\frac{2\bar{k}_{em} \cdot k_{res}}{k_{res}^2} \frac{k_\gamma^0}{k_{em}^0}} - e^{-\xi}\right]\right\rbrace.
	\end{align*}
	<<real subtraction: soft mismatch: TBP>>=
	procedure :: compute => soft_mismatch_compute
	<<real subtraction: procedures>>=
	function soft_mismatch_compute (soft_mismatch, alr, xi, y, p_em, p_res, p_soft, &
	sqme_born, sqme_soft, alpha_s, s) result (sqme_mismatch)
	real(default) :: sqme_mismatch
	class(soft_mismatch_t), intent(in) :: soft_mismatch
	integer, intent(in) :: alr
	real(default), intent(in) :: xi, y
	type(vector4_t), intent(in) :: p_em, p_res, p_soft
	real(default), intent(in) :: sqme_born, sqme_soft
	real(default), intent(in) :: alpha_s, s
	real(default) :: q2, expo, sm1, sm2, jacobian

	q2 = p_res**2
	expo = - two * p_soft * p_res / q2
	!!! Divide by 1 - y to factor out the corresponding
	!!! factor in the soft matrix element
	sm1 = sqme_soft / (one - y) * ( exp(expo) - exp(- xi) )
	if (debug_on) call msg_debug2 (D_MISMATCH, 'sqme_soft in mismatch ', sqme_soft)

	sm2 = zero
	if (soft_mismatch%reg_data%regions(alr)%has_collinear_divergence ()) then
	expo = - two * p_em * p_res / q2 * &
	p_soft%p(0) / p_em%p(0)
	sm2 = 32 * pi * alpha_s * cf / (s * xi*2) sqme_born * &
	( exp(expo) - exp(- xi) ) / (one - y)
	end if

	jacobian = soft_mismatch%real_kinematics%jac_mismatch * s * xi / (8 * twopi3)
	sqme_mismatch = (sm1 - sm2) * jacobian

	end function soft_mismatch_compute

	@ %def soft_mismatch_compute
	@
	<<real subtraction: soft mismatch: TBP>>=
	procedure :: final => soft_mismatch_final
	<<real subtraction: procedures>>=
	subroutine soft_mismatch_final (soft_mismatch)
	class(soft_mismatch_t), intent(inout) :: soft_mismatch
	call soft_mismatch%sub_soft%final ()
	if (associated (soft_mismatch%reg_data)) nullify (soft_mismatch%reg_data)
	if (allocated (soft_mismatch%sqme_born)) deallocate (soft_mismatch%sqme_born)
	if (allocated (soft_mismatch%sqme_born_color_c)) deallocate (soft_mismatch%sqme_born_color_c)
	if (allocated (soft_mismatch%sqme_born_charge_c)) deallocate (soft_mismatch%sqme_born_charge_c)
	if (associated (soft_mismatch%real_kinematics)) nullify (soft_mismatch%real_kinematics)
	end subroutine soft_mismatch_final

	@ %def soft_mismatch_final
	@
	\subsection{Collinear and soft-collinear subtraction terms}
	This data type deals with the calculation of the collinear and
	soft-collinear contribution to the cross section.
	<<real subtraction: public>>=
	public :: coll_subtraction_t
	<<real subtraction: types>>=
	type :: coll_subtraction_t
	integer :: n_in, n_alr
	logical :: use_resonance_mappings = .false.
	real(default) :: CA = 0, CF = 0, TR = 0
	contains
	<<real subtraction: coll sub: TBP>>
	end type coll_subtraction_t

	@ %def coll_subtraction_t
	@
	<<real subtraction: coll sub: TBP>>=
	procedure :: init => coll_subtraction_init
	<<real subtraction: procedures>>=
	subroutine coll_subtraction_init (coll_sub, n_alr, n_in)
	class(coll_subtraction_t), intent(inout) :: coll_sub
	integer, intent(in) :: n_alr, n_in
	coll_sub%n_in = n_in
	coll_sub%n_alr = n_alr
	end subroutine coll_subtraction_init

	@ %def coll_subtraction_init
	@ Set the corresponding algebra parameters of the underlying gauge group of the correction.
	<<real subtraction: coll sub: TBP>>=
	procedure :: set_parameters => coll_subtraction_set_parameters
	<<real subtraction: procedures>>=
	subroutine coll_subtraction_set_parameters (coll_sub, CA, CF, TR)
	class(coll_subtraction_t), intent(inout) :: coll_sub
	real(default), intent(in) :: CA, CF, TR
	coll_sub%CA = CA
	coll_sub%CF = CF
	coll_sub%TR = TR
	end subroutine coll_subtraction_set_parameters

	@ %def coll_subtraction_set_parameters
	@ This subroutine computes the collinear limit of $g^\alpha(\xi,y)$ introduced
	in eq.~\ref{fks: sub: real}. Care is given to also enable the usage for
	the soft-collinear limit. This, we write all formulas in terms of soft-finite
	quantities.

	We have to compute
	\begin{equation*}
	\frac{J(\Phi_n,\xi,y,\phi)}{\xi} \left[(1-y)\xi^2\mathcal{R}^\alpha(\Phi_{n+1})\right]\|_{y = 1}.
	\end{equation*}
	The Jacobian $J$ is proportional to $\xi$, due to the $d^3 k_{n+1} / k_{n+1}^0$ factor
	in the integration measure. It cancels the factor of $\xi$ in the denominator.
	The remaining part of the Jacobian is multiplied in [[evaluate_region_fsr]] and is
	not relevant here.
	Inserting the splitting functions exemplarily for $q \to qg$ yields
	\begin{equation*}
	g^\alpha = \frac{8\pi\alpha_s}{k_{\mathrm{em}}^2} C_F (1-y) \xi^2
	\frac{1+(1-z)^2}{z} \mathcal{B},
	\end{equation*}
	where we have chosen $z = E_\mathrm{rad} / \bar{E}_\mathrm{em}$ and $\bar{E}_\mathrm{em}$ denotes the emitter energy in the Born frame.
	The collinear final state imposes $\bar{k}_n = k_{n} + k_{n + 1}$ for the
	connection between $\Phi_n$- and $\Phi_{n+1}$-phasepace and we get $1 - z = E_\mathrm{em} / \bar{E}_\mathrm{em}$.
	The denominator can be rewritten by the constraint $\bar{k}_n^2 = (k_n +
	k_{n+1})^2 = 0$ to
	\begin{equation*}
	k_{\mathrm{em}}^2 = 2 E_\mathrm{rad} E_\mathrm{em} (1-y)
	\end{equation*}
	which cancels the $(1-y)$ factor in the numerator, thus showing that
	the whole expression is indeed collinear-finite. We can further transform
	\begin{equation*}
	E_\mathrm{rad} E_\mathrm{em} = z (1-z) \bar{E}_\mathrm{em}^2
	\end{equation*}
	so that in total we have
	\begin{equation*}
	g^\alpha = \frac{4\pi\alpha_s}{1-z} \frac{1}{\bar{k}_{\text{em}}^2} C_F \left(\frac{\xi}{z}\right)^2
	(1 + (1-z)^2) \mathcal{B}
	\end{equation*}
	Follow up calculations give us
	\begin{align*}
	g^{\alpha, g \rightarrow gg} & = \frac{4\pi\alpha_s}{1-z}\frac{1}{\bar{k}_{\text{em}}^2}
	C_{\mathrm{A}} \frac{\xi}{z} \left\lbrace 2 \left( \frac{z}{1 - z} \xi + \frac{1 - z}{\frac{z}{\xi}} \right) \mathcal{B} + 4\xi z(1 - z) \hat{k}_{\perp}^{\mu} \hat{k}_{\perp}^{\nu} \mathcal{B}_{\mu\nu} \right\rbrace, \\
	g^{\alpha, g \rightarrow qq} & = \frac{4\pi\alpha_s}{1-z} \frac{1}{\bar{k}_{\text{em}}^2} T_{\mathrm{R}}
	\frac{\xi}{z} \left\lbrace \xi \mathcal{B} - 4\xi z(1 - z) \hat{k}_{\perp}^{\mu} \hat{k}_{\perp}^{\nu} \mathcal{B}_{\mu\nu} \right\rbrace.
	\end{align*}
	The ratio $z / \xi$ is finite in the soft limit
	\begin{equation*}
	\frac{z}{\xi} = \frac{q^0}{2\bar{E}_\mathrm{em}}
	\end{equation*}
	so that $\xi$ does not appear explicitly in the computation.

	The argumentation above is valid for $q \to qg$--splittings, but the general
	factorization is valid for general splittings, also for those involving spin
	correlations and QED splittings. Note that care has to be given to the definition
	of $z$. Further, we have factored out a factor of $z$ to include in the
	ratio $z/\xi$, which has to be taken into account in the implementation of
	the splitting functions.
	<<real subtraction: coll sub: TBP>>=
	procedure :: compute_fsr => coll_subtraction_compute_fsr
	<<real subtraction: procedures>>=
	function coll_subtraction_compute_fsr &
	(coll_sub, emitter, flst, p_res, p_born, sqme_born, mom_times_sqme_spin_c, &
	xi, alpha_coupling, double_fsr) result (sqme)
	real(default) :: sqme
	class(coll_subtraction_t), intent(in) :: coll_sub
	integer, intent(in) :: emitter
	integer, dimension(:), intent(in) :: flst
	type(vector4_t), intent(in) :: p_res
	type(vector4_t), intent(in), dimension(:) :: p_born
	real(default), intent(in) :: sqme_born, mom_times_sqme_spin_c
	real(default), intent(in) :: xi, alpha_coupling
	logical, intent(in) :: double_fsr
	real(default) :: q0, z, p0, z_o_xi, onemz
	integer :: nlegs, flv_em, flv_rad
	nlegs = size (flst)
	flv_rad = flst(nlegs); flv_em = flst(emitter)
	q0 = p_res**1
	p0 = p_res * p_born(emitter) / q0
	!!! Here, z corresponds to 1-z in the formulas of arXiv:1002.2581;
	!!! the integrand is symmetric under this variable change
	z_o_xi = q0 / (two * p0)
	z = xi * z_o_xi; onemz = one - z
	if (is_gluon (flv_em) .and. is_gluon (flv_rad)) then
	sqme = coll_sub%CA * ( two * ( z / onemz * xi + onemz / z_o_xi ) * sqme_born &
	+ four * xi * z * onemz * mom_times_sqme_spin_c )
	else if (is_fermion (flv_em) .and. is_fermion (flv_rad)) then
	sqme = coll_sub%TR * xi * (sqme_born - four * z * onemz * mom_times_sqme_spin_c)
	else if (is_fermion (flv_em) .and. is_massless_vector (flv_rad)) then
	sqme = sqme_born * coll_sub%CF * (one + onemz**2) / z_o_xi
	else
	sqme = zero
	end if
	sqme = sqme / (p0*2 onemz * z_o_xi)
	sqme = sqme * four * pi * alpha_coupling
	if (double_fsr) sqme = sqme * onemz * two
	end function coll_subtraction_compute_fsr

	@ %def coll_subtraction_compute_fsr
	@ Like in the context of [[coll_subtraction_compute_fsr]] we compute
	the quantity
	\begin{equation*}
	\frac{J(\Phi_n,\xi,y,\phi)}{\xi} \left[(1-y)\xi^2\mathcal{R}^\alpha(\Phi_{n+1})\right]\|_{y = 1},
	\end{equation*}
	and, additionally the anti-collinear case with $y = +1$, which, however,
	is completely analogous. Again, the Jacobian is proportional to $\xi$, so we
	drop the $J / \xi$ factor. Note that it is important to take into account this missing
	factor of $\xi$ in the computation of the Jacobian during phase-space generation
	both for fixed-beam and structure ISR. We consider only a $q \to qg$ splitting
	arguing that other splittings are identical in terms of the
	factors which cancel. It is given by
	\begin{equation*}
	g^\alpha = \frac{8\pi\alpha_s}{-k_{\mathrm{em}}^2} C_F (1-y) \xi^2
	\frac{1+z^2}{1-z} \mathcal{B}.
	\end{equation*}
	Note the negative sign of $k_\mathrm{em}^2$ to compensate the negative
	virtuality of the initial-state emitter.
	For ISR, $z$ is defined with respect to the emitter energy entering the hard
	interaction, i.e.
	\begin{equation*}
	z = \frac{E_\mathrm{beam} - E_\mathrm{rad}}{E_\mathrm{beam}} =
	1 - \frac{E_\mathrm{rad}}{E_\mathrm{beam}}.
	\end{equation*}
	Because $E_\mathrm{rad} = E_\mathrm{beam} \cdot \xi$, it is
	$z = 1 - \xi$. The factor $k_\mathrm{em}^2$ in the denonimator
	is rewritten as
	\begin{equation*}
	k_\mathrm{em}^2 = \left(p_\mathrm{beam} - p_\mathrm{rad}\right)^2
	= - 2 p_\mathrm{beam} \cdot p_\mathrm{rad}
	= - 2 E_\mathrm{beam} E_\mathrm{rad} (1-y)
	= -2 E_\mathrm{beam}^2 (1-z) (1-y).
	\end{equation*}
	This leads to the cancellation of the $(1-y)$ factors and one of
	the two factors of $\xi$ in the numerator. Further rewriting to
	\begin{equation*}
	E_\mathrm{beam} E_\mathrm{rad} = E_\mathrm{beam}^2 (1-z)
	\end{equation*}
	cancels another factor of $\xi$. We thus end up with
	\begin{equation*}
	g^\alpha = \frac{4\pi\alpha_s}{E_\mathrm{beam}^2} C_F \left(1 + z^2\right)\mathcal{B},
	\end{equation*}
	which is soft-finite.
	Now what about this boosting to the other beam?

	Note that here in [[compute_isr]], [[sqme_born]] is supposed to be
	the squared Born matrix element convoluted with the real PDF.
	<<real subtraction: coll sub: TBP>>=
	procedure :: compute_isr => coll_subtraction_compute_isr
	<<real subtraction: procedures>>=
	function coll_subtraction_compute_isr &
	(coll_sub, emitter, flst, p_born, sqme_born, mom_times_sqme_spin_c, &
	xi, alpha_coupling, isr_mode) result (sqme)
	real(default) :: sqme
	class(coll_subtraction_t), intent(in) :: coll_sub
	integer, intent(in) :: emitter
	integer, dimension(:), intent(in) :: flst
	type(vector4_t), intent(in), dimension(:) :: p_born
	real(default), intent(in) :: sqme_born
	real(default), intent(in) :: mom_times_sqme_spin_c
	real(default), intent(in) :: xi, alpha_coupling
	integer, intent(in) :: isr_mode
	real(default) :: z, onemz, p02
	integer :: nlegs, flv_em, flv_rad
	if (isr_mode == SQRTS_VAR .and. vector_set_is_cms (p_born, coll_sub%n_in)) then
	call vector4_write_set (p_born, show_mass = .true., &
	check_conservation = .true.)
	call msg_fatal ("Collinear subtraction, ISR: Phase space point &
	&must be in lab frame")
	end if
	nlegs = size (flst)
	flv_rad = flst(nlegs); flv_em = flst(emitter)
	!!! No need to pay attention to n_in = 1, because this case always has a
	!!! massive initial-state particle and thus no collinear divergence.
	p02 = p_born(1)%p(0) * p_born(2)%p(0) / two
	z = one - xi; onemz = xi
	if (is_massless_vector (flv_em) .and. is_massless_vector (flv_rad)) then
	sqme = coll_sub%CA * (two * (z + z * onemz*2) sqme_born + four * onemz**2 &
	/ z * mom_times_sqme_spin_c)
	else if (is_fermion (flv_em) .and. is_massless_vector (flv_rad)) then
	sqme = coll_sub%CF * (one + z*2) sqme_born
	else if (is_fermion (flv_em) .and. is_fermion (flv_rad)) then
	sqme = coll_sub%CF * (z * onemz * sqme_born + four * onemz*2 / z mom_times_sqme_spin_c)
	else if (is_massless_vector (flv_em) .and. is_fermion (flv_rad)) then
	sqme = coll_sub%TR * (z2 + onemz2) * onemz * sqme_born
	else
	sqme = zero
	end if
	if (isr_mode == SQRTS_VAR) then
	sqme = sqme / p02 * z
	else
	!!! We have no idea why this seems to work as there should be no factor
	!!! of z for the fixed-beam settings. This should definitely be understood in the
	!!! future!
	sqme = sqme / p02 / z
	end if
	sqme = sqme * four * pi * alpha_coupling
	end function coll_subtraction_compute_isr

	@ %def coll_subtraction_compute_isr
	@
	<<real subtraction: coll sub: TBP>>=
	procedure :: final => coll_subtraction_final
	<<real subtraction: procedures>>=
	subroutine coll_subtraction_final (sub_coll)
	class(coll_subtraction_t), intent(inout) :: sub_coll
	sub_coll%use_resonance_mappings = .false.
	end subroutine coll_subtraction_final

	@ %def coll_subtraction_final
	@
	\subsection{Real Subtraction}

	We store a pointer to the [[nlo_settings_t]] object which holds tuning parameters, e.g. cutoffs for the subtraction terms.
	<<real subtraction: public>>=
	public :: real_subtraction_t
	<<real subtraction: types>>=
	type :: real_subtraction_t
	type(nlo_settings_t), pointer :: settings => null ()
	type(region_data_t), pointer :: reg_data => null ()
	type(real_kinematics_t), pointer :: real_kinematics => null ()
	type(isr_kinematics_t), pointer :: isr_kinematics => null ()
	type(real_scales_t) :: scales
	real(default), dimension(:,:), allocatable :: sqme_real_non_sub
	real(default), dimension(:), allocatable :: sqme_born
	real(default), dimension(:,:), allocatable :: sf_factors
	real(default), dimension(:,:,:), allocatable :: sqme_born_color_c
	real(default), dimension(:,:,:), allocatable :: sqme_born_charge_c
	complex(default), dimension(:,:,:,:), allocatable :: sqme_born_spin_c
	type(soft_subtraction_t) :: sub_soft
	type(coll_subtraction_t) :: sub_coll
	logical, dimension(:), allocatable :: sc_required
	logical :: subtraction_deactivated = .false.
	integer :: purpose = INTEGRATION
	logical :: radiation_event = .true.
	logical :: subtraction_event = .false.
	integer, dimension(:), allocatable :: selected_alr
	contains
	<<real subtraction: real subtraction: TBP>>
	end type real_subtraction_t

	@ %def real_subtraction_t
	@ Initializer
	<<real subtraction: real subtraction: TBP>>=
	procedure :: init => real_subtraction_init
	<<real subtraction: procedures>>=
	subroutine real_subtraction_init (rsub, reg_data, settings)
	class(real_subtraction_t), intent(inout), target :: rsub
	type(region_data_t), intent(in), target :: reg_data
	type(nlo_settings_t), intent(in), target :: settings
	integer :: alr
	if (debug_on) call msg_debug (D_SUBTRACTION, "real_subtraction_init")
	if (debug_on) call msg_debug (D_SUBTRACTION, "n_in", reg_data%n_in)
	if (debug_on) call msg_debug (D_SUBTRACTION, "nlegs_born", reg_data%n_legs_born)
	if (debug_on) call msg_debug (D_SUBTRACTION, "nlegs_real", reg_data%n_legs_real)
	if (debug_on) call msg_debug (D_SUBTRACTION, "reg_data%n_regions", reg_data%n_regions)
	if (debug2_active (D_SUBTRACTION)) call reg_data%write ()
	rsub%reg_data => reg_data
	allocate (rsub%sqme_born (reg_data%n_flv_born))
	rsub%sqme_born = zero
	allocate (rsub%sf_factors (reg_data%n_regions, 0:reg_data%n_in))
	rsub%sf_factors = zero
	allocate (rsub%sqme_born_color_c (reg_data%n_legs_born, reg_data%n_legs_born, &
	reg_data%n_flv_born))
	rsub%sqme_born_color_c = zero
	allocate (rsub%sqme_born_charge_c (reg_data%n_legs_born, reg_data%n_legs_born, &
	reg_data%n_flv_born))
	rsub%sqme_born_charge_c = zero
	allocate (rsub%sqme_real_non_sub (reg_data%n_flv_real, reg_data%n_phs))
	rsub%sqme_real_non_sub = zero
	allocate (rsub%sc_required (reg_data%n_regions))
	do alr = 1, reg_data%n_regions
	rsub%sc_required(alr) = reg_data%regions(alr)%sc_required
	end do
	if (rsub%requires_spin_correlations ()) then
	allocate (rsub%sqme_born_spin_c (0:3, 0:3, reg_data%n_legs_born, reg_data%n_flv_born))
	rsub%sqme_born_spin_c = zero
	end if
	call rsub%sub_soft%init (reg_data)
	call rsub%sub_coll%init (reg_data%n_regions, reg_data%n_in)
	rsub%settings => settings
	rsub%sub_soft%use_resonance_mappings = settings%use_resonance_mappings
	rsub%sub_coll%use_resonance_mappings = settings%use_resonance_mappings
	rsub%sub_soft%factorization_mode = settings%factorization_mode
	end subroutine real_subtraction_init

	@ %def real_subtraction_init
	@
	<<real subtraction: real subtraction: TBP>>=
	procedure :: set_real_kinematics => real_subtraction_set_real_kinematics
	<<real subtraction: procedures>>=
	subroutine real_subtraction_set_real_kinematics (rsub, real_kinematics)
	class(real_subtraction_t), intent(inout) :: rsub
	type(real_kinematics_t), intent(in), target :: real_kinematics
	rsub%real_kinematics => real_kinematics
	end subroutine real_subtraction_set_real_kinematics

	@ %def real_subtraction_set_real_kinematics
	@
	<<real subtraction: real subtraction: TBP>>=
	procedure :: set_isr_kinematics => real_subtraction_set_isr_kinematics
	<<real subtraction: procedures>>=
	subroutine real_subtraction_set_isr_kinematics (rsub, fractions)
	class(real_subtraction_t), intent(inout) :: rsub
	type(isr_kinematics_t), intent(in), target :: fractions
	rsub%isr_kinematics => fractions
	end subroutine real_subtraction_set_isr_kinematics

	@ %def real_subtraction_set_isr_kinematics
	@
	<<real subtraction: real subtraction: TBP>>=
	procedure :: get_i_res => real_subtraction_get_i_res
	<<real subtraction: procedures>>=
	function real_subtraction_get_i_res (rsub, alr) result (i_res)
	integer :: i_res
	class(real_subtraction_t), intent(inout) :: rsub
	integer, intent(in) :: alr
	select type (fks_mapping => rsub%reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	i_res = fks_mapping%res_map%alr_to_i_res (alr)
	class default
	i_res = 0
	end select
	end function real_subtraction_get_i_res

	@ %def real_subtraction_get_i_res
	@
	\subsection{The real contribution to the cross section}
	In each singular region $\alpha$, the real contribution to $\sigma$ is
	given by the second summand of eqn. \ref{fks: sub: complete},
	\begin{equation}
	\label{fks: sub: real}
	\sigma^\alpha_{\text{real}} = \int d\Phi_n \int_0^{2\pi} d\phi
	\int_{-1}^1 dy \int_0^{\xi_{\text{max}}} d\xi
	\left(\frac{1}{\xi}\right)_+ \left(\frac{1}{1-y}\right)_+
	\underbrace{\frac{J(\Phi_n, \xi, y, \phi)}{\xi}
	\left[(1-y)\xi^2\mathcal{R}^\alpha(\Phi_{n+1})\right]}_{g^\alpha(\xi,y)}.
	\end{equation}
	Writing out the plus-distribution and introducing $\tilde{\xi} =
	\xi/\xi_{\text{max}}$ to set the upper integration limit to 1, this
	turns out to be equal to
	\begin{equation}
	\begin{split}
	\sigma^\alpha_{\rm{real}} &= \int d\Phi_n \int_0^{2\pi}d\phi
	\int_{-1}^1 \frac{dy}{1-y} \Bigg\{\int_0^1
	d\tilde{\xi}\Bigg[\frac{g^\alpha(\tilde{\xi}\xi_{\rm{max}},y)}{\tilde{\xi}}
	- \underbrace{\frac{g^\alpha(0,y)}{\tilde{\xi}}}_{\text{soft}} -
	\underbrace{\frac{g^\alpha(\tilde{\xi}\xi_{\rm{max}},1)}{\tilde{\xi}}}_{\text{coll.}}
	+
	\underbrace{\frac{g^\alpha(0,1)}{\tilde{\xi}}}_{\text{coll.+soft}}\Bigg]
	\\
	&+ \left[\log\xi_{\rm{max}}(y)g^\alpha(0,y) - \log\xi_{\rm{max}}(1)g^\alpha(0,1)\right]\Bigg\}.
	\end{split}
	\end{equation}
	This formula is implemented in \texttt{compute\_sqme\_real\_fin}
	<<real subtraction: real subtraction: TBP>>=
	procedure :: compute => real_subtraction_compute
	<<real subtraction: procedures>>=
	subroutine real_subtraction_compute (rsub, emitter, i_phs, alpha_s, &
	alpha_qed, separate_alrs, sqme)
	class(real_subtraction_t), intent(inout) :: rsub
	integer, intent(in) :: emitter, i_phs
	logical, intent(in) :: separate_alrs
	real(default), intent(inout), dimension(:) :: sqme
	real(default), intent(in) :: alpha_s, alpha_qed
	real(default) :: sqme_alr, alpha_coupling
	integer :: alr, i_con, i_res, this_emitter
	logical :: same_emitter
	do alr = 1, rsub%reg_data%n_regions
	if (allocated (rsub%selected_alr)) then
	if (.not. any (rsub%selected_alr == alr)) cycle
	end if
	sqme_alr = zero
	if (emitter > rsub%isr_kinematics%n_in) then
	same_emitter = emitter == rsub%reg_data%regions(alr)%emitter
	else
	same_emitter = rsub%reg_data%regions(alr)%emitter <= rsub%isr_kinematics%n_in
	end if
	select case (char(rsub%reg_data%regions(alr)%nlo_correction_type))
	case ("QCD")
	alpha_coupling = alpha_s
	case ("EW")
	alpha_coupling = alpha_qed
	end select
	if (same_emitter .and. i_phs == rsub%real_kinematics%alr_to_i_phs (alr)) then
	i_res = rsub%get_i_res (alr)
	this_emitter = rsub%reg_data%regions(alr)%emitter
	sqme_alr = rsub%evaluate_emitter_region (alr, this_emitter, i_phs, i_res, &
	alpha_coupling)
	if (rsub%purpose == INTEGRATION .or. rsub%purpose == FIXED_ORDER_EVENTS) then
	i_con = rsub%get_i_contributor (alr)
	sqme_alr = sqme_alr * rsub%get_phs_factor (i_con)
	end if
	end if
	if (separate_alrs) then
	sqme(alr) = sqme(alr) + sqme_alr
	else
	sqme(1) = sqme(1) + sqme_alr
	end if
	end do
	- if (debug2_active (D_SUBTRACTION)) call check_s_alpha_consistency ()
	+ if (debug_on) then
	+ if (debug2_active (D_SUBTRACTION)) call check_s_alpha_consistency ()
	+ end if
	contains
	subroutine check_s_alpha_consistency ()
	real(default) :: sum_s_alpha, sum_s_alpha_soft
	- integer :: i_reg, i1, i2
	+ integer :: i_ftuple
	if (debug_on) call msg_debug2 (D_SUBTRACTION, "Check consistency of s_alpha: ")
	- do i_reg = 1, rsub%reg_data%n_regions
	- sum_s_alpha = zero; sum_s_alpha_soft = zero
	- do alr = 1, rsub%reg_data%regions(i_reg)%nregions
	- call rsub%reg_data%regions(i_reg)%ftuples(alr)%get (i1, i2)
	- call rsub%evaluate_emitter_region_debug (i_reg, alr, i1, i2, i_phs, &
	- sum_s_alpha, sum_s_alpha_soft)
	- end do
	+ do alr = 1, rsub%reg_data%n_regions
	+ sum_s_alpha = rsub%sum_up_s_alpha(alr, i_phs)
	+ call msg_debug2 (D_SUBTRACTION, 'sum_s_alpha', sum_s_alpha)
	+ if (.not. nearly_equal(sum_s_alpha, one)) then
	+ call msg_bug ("The sum of all S functions should be equal to one!")
	+ end if
	+ sum_s_alpha_soft = rsub%sum_up_s_alpha_soft(alr, i_phs)
	+ call msg_debug2 (D_SUBTRACTION, 'sum_s_alpha_soft', sum_s_alpha_soft)
	+ if (.not. nearly_equal(sum_s_alpha_soft, one)) then
	+ call msg_bug ("The sum of all soft S functions should be equal to one!")
	+ end if
	end do
	end subroutine check_s_alpha_consistency
	end subroutine real_subtraction_compute

	@ %def real_subtraction_compute
	@ The emitter is fixed. We now have to decide whether we evaluate in ISR or FSR
	region, and also if resonances are used.
	<<real subtraction: real subtraction: TBP>>=
	procedure :: evaluate_emitter_region => real_subtraction_evaluate_emitter_region
	<<real subtraction: procedures>>=
	function real_subtraction_evaluate_emitter_region (rsub, alr, emitter, &
	i_phs, i_res, alpha_coupling) result (sqme)
	real(default) :: sqme
	class(real_subtraction_t), intent(inout) :: rsub
	integer, intent(in) :: alr, emitter, i_phs, i_res
	real(default), intent(in) :: alpha_coupling
	if (emitter <= rsub%isr_kinematics%n_in) then
	sqme = rsub%evaluate_region_isr (alr, emitter, i_phs, i_res, alpha_coupling)
	else
	select type (fks_mapping => rsub%reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	call fks_mapping%set_resonance_momenta &
	(rsub%real_kinematics%xi_ref_momenta)
	end select
	sqme = rsub%evaluate_region_fsr (alr, emitter, i_phs, i_res, alpha_coupling)
	end if
	end function real_subtraction_evaluate_emitter_region

	@ %def real_subtraction_evaluate_emitter_region
	-@
	+@ Sums up $\sum_{i_1, i_2} S_{i_1 i_2}$ for the given [[alr]].
	<<real subtraction: real subtraction: TBP>>=
	- procedure :: evaluate_emitter_region_debug &
	- => real_subtraction_evaluate_emitter_region_debug
	+ procedure :: sum_up_s_alpha => real_subtraction_sum_up_s_alpha
	<<real subtraction: procedures>>=
	- subroutine real_subtraction_evaluate_emitter_region_debug (rsub, i_reg, alr, i1, i2, &
	- i_phs, sum_s_alpha, sum_s_alpha_soft)
	+ function real_subtraction_sum_up_s_alpha (rsub, alr, i_phs) result (sum_s_alpha)
	+ real(default) :: sum_s_alpha
	class(real_subtraction_t), intent(inout) :: rsub
	- integer, intent(in) :: i_reg, alr, i1, i2, i_phs
	- real(default), intent(inout) :: sum_s_alpha, sum_s_alpha_soft
	- type(vector4_t), dimension(:), allocatable :: p_real, p_born
	- integer :: i_res
	+ integer, intent(in) :: alr, i_phs
	+ type(vector4_t), dimension(:), allocatable :: p_real
	+ integer :: i_res, i_ftuple, i1, i2
	allocate (p_real (rsub%reg_data%n_legs_real))
	- allocate (p_born (rsub%reg_data%n_legs_born))
	if (rsub%reg_data%has_pseudo_isr ()) then
	p_real = rsub%real_kinematics%p_real_onshell(i_phs)%get_momenta (i_phs)
	- p_born = rsub%real_kinematics%p_born_onshell%get_momenta (1)
	else
	p_real = rsub%real_kinematics%p_real_cms%get_momenta (i_phs)
	+ end if
	+ i_res = rsub%get_i_res (alr)
	+ sum_s_alpha = zero
	+ do i_ftuple = 1, rsub%reg_data%regions(alr)%nregions
	+ call rsub%reg_data%regions(alr)%ftuples(i_ftuple)%get (i1, i2)
	+ sum_s_alpha = sum_s_alpha + rsub%reg_data%get_svalue (p_real, alr, i1, i2, i_res)
	+ end do
	+ end function real_subtraction_sum_up_s_alpha
	+
	+@ %def real_subtraction_sum_up_s_alpha
	+@ Sums up $\sum_{i_1, i_2} S_{i_1 i_2}$ for the given [[alr]].
	+The soft S functions take the real momenta in the soft limit, i.e. the Born momenta.
	+For each summand of [[sum_s_alpha_soft]] we take [[p_soft]] constructed from the
	+emitter of the given alpha region also for ftuples in which the first integer [[i1]]
	+does not coincide with the emitter. This is necessary because only if we keep [[p_soft]]
	+fixed, all soft S functions are computed with the same denominator and thus add up to 1.
	+<<real subtraction: real subtraction: TBP>>=
	+ procedure :: sum_up_s_alpha_soft => real_subtraction_sum_up_s_alpha_soft
	+<<real subtraction: procedures>>=
	+ function real_subtraction_sum_up_s_alpha_soft (rsub, alr, i_phs) result (sum_s_alpha_soft)
	+ real(default) :: sum_s_alpha_soft
	+ class(real_subtraction_t), intent(inout) :: rsub
	+ integer, intent(in) :: alr, i_phs
	+ type(vector4_t), dimension(:), allocatable :: p_born
	+ integer :: i_res, i_ftuple, i1, i2, emitter, nlegs
	+ allocate (p_born (rsub%reg_data%n_legs_born))
	+ if (rsub%reg_data%has_pseudo_isr ()) then
	+ p_born = rsub%real_kinematics%p_born_onshell%get_momenta (1)
	+ else
	p_born = rsub%real_kinematics%p_born_cms%get_momenta (1)
	end if
	- i_res = rsub%get_i_res (i_reg)
	- sum_s_alpha = sum_s_alpha + rsub%reg_data%get_svalue (p_real, i_reg, i1, i2, i_res)
	+ i_res = rsub%get_i_res (alr)
	+ emitter = rsub%reg_data%regions(alr)%emitter
	associate (r => rsub%real_kinematics)
	- if (i1 > rsub%sub_soft%reg_data%n_in) then
	+ if (emitter > rsub%sub_soft%reg_data%n_in) then
	call rsub%sub_soft%create_softvec_fsr (p_born, r%y_soft(i_phs), r%phi, &
	- i1, r%xi_ref_momenta(rsub%sub_soft%i_xi_ref (i_reg, i_phs)))
	+ emitter, r%xi_ref_momenta(rsub%sub_soft%i_xi_ref (alr, i_phs)))
	else
	call rsub%sub_soft%create_softvec_isr (r%y_soft(i_phs), r%phi)
	end if
	end associate
	- sum_s_alpha_soft = sum_s_alpha_soft + rsub%reg_data%get_svalue_soft &
	- (p_born, rsub%sub_soft%p_soft, i_reg, i1, i_res)
	- end subroutine real_subtraction_evaluate_emitter_region_debug
	+ nlegs = rsub%reg_data%n_legs_real
	+ sum_s_alpha_soft = zero
	+ do i_ftuple = 1, rsub%reg_data%regions(alr)%nregions
	+ call rsub%reg_data%regions(alr)%ftuples(i_ftuple)%get (i1, i2)
	+ if (i2 == nlegs) then
	+ sum_s_alpha_soft = sum_s_alpha_soft + rsub%reg_data%get_svalue_soft &
	+ (p_born, rsub%sub_soft%p_soft, alr, i1, i_res)
	+ end if
	+ end do
	+ end function real_subtraction_sum_up_s_alpha_soft

	-@ %def real_subtraction_evaluate_emitter_region_debug
	+@ %def real_subtraction_sum_up_s_alpha_soft
	@ This subroutine computes the finite part of the real matrix element in
	an individual singular region.
	First, the radiation variables are fetched and $\mathcal{R}$ is
	multiplied by the appropriate $S_\alpha$-factors,
	region multiplicities and double-FSR factors.
	Then, it computes the soft, collinear, soft-collinear and remnant matrix
	elements and supplies the corresponding factor $1/\xi/(1-y)$ as well as
	the corresponding Jacobians.
	<<real subtraction: real subtraction: TBP>>=
	procedure :: evaluate_region_fsr => real_subtraction_evaluate_region_fsr
	<<real subtraction: procedures>>=
	function real_subtraction_evaluate_region_fsr (rsub, alr, emitter, i_phs, &
	i_res, alpha_coupling) result (sqme_tot)
	real(default) :: sqme_tot
	class(real_subtraction_t), intent(inout) :: rsub
	integer, intent(in) :: alr, emitter, i_phs, i_res
	real(default), intent(in) :: alpha_coupling
	real(default) :: sqme_rad, sqme_soft, sqme_coll, sqme_cs, sqme_remn
	sqme_rad = zero; sqme_soft = zero; sqme_coll = zero
	sqme_cs = zero; sqme_remn = zero
	associate (region => rsub%reg_data%regions(alr), template => rsub%settings%fks_template)
	if (rsub%radiation_event) then
	sqme_rad = rsub%sqme_real_non_sub (rsub%reg_data%get_matrix_element_index (alr), i_phs)
	call evaluate_fks_factors (sqme_rad, rsub%reg_data, rsub%real_kinematics, &
	alr, i_phs, emitter, i_res)
	call apply_kinematic_factors_radiation (sqme_rad, rsub%purpose, &
	rsub%real_kinematics, i_phs, .false., rsub%reg_data%has_pseudo_isr (), &
	emitter)
	end if
	if (rsub%subtraction_event .and. .not. rsub%subtraction_deactivated) then
	if (debug2_active (D_SUBTRACTION)) then
	print *, "[real_subtraction_evaluate_region_fsr]"
	print , "xi: ", rsub%real_kinematics%xi_max(i_phs) rsub%real_kinematics%xi_tilde
	print *, "y: ", rsub%real_kinematics%y(i_phs)
	end if
	call rsub%evaluate_subtraction_terms_fsr (alr, emitter, i_phs, i_res, alpha_coupling, &
	sqme_soft, sqme_coll, sqme_cs)
	call apply_kinematic_factors_subtraction_fsr (sqme_soft, sqme_coll, sqme_cs, &
	rsub%real_kinematics, i_phs)
	associate (symm_factor_fs => rsub%reg_data%born_to_real_symm_factor_fs (alr))
	sqme_soft = sqme_soft * symm_factor_fs
	sqme_coll = sqme_coll * symm_factor_fs
	sqme_cs = sqme_cs * symm_factor_fs
	end associate
	sqme_remn = compute_sqme_remnant_fsr (sqme_soft, sqme_cs, &
	rsub%real_kinematics%xi_max(i_phs), template%xi_cut, rsub%real_kinematics%xi_tilde)
	select case (rsub%purpose)
	case (INTEGRATION)
	sqme_tot = sqme_rad - sqme_soft - sqme_coll + sqme_cs + sqme_remn
	case (FIXED_ORDER_EVENTS)
	sqme_tot = - sqme_soft - sqme_coll + sqme_cs + sqme_remn
	case default
	sqme_tot = zero
	call msg_bug ("real_subtraction_evaluate_region_fsr: " // &
	"Undefined rsub%purpose")
	end select
	else
	sqme_tot = sqme_rad
	end if
	sqme_tot = sqme_tot * rsub%real_kinematics%jac_rand(i_phs)
	sqme_tot = sqme_tot * rsub%reg_data%regions(alr)%mult
	end associate
	if (debug_active (D_SUBTRACTION) .and. .not. debug2_active (D_SUBTRACTION)) then
	call real_subtraction_register_debug_sqme (rsub, alr, emitter, i_phs, sqme_rad, sqme_soft, &
	sqme_coll=sqme_coll, sqme_cs=sqme_cs)
	else if (debug2_active (D_SUBTRACTION)) then
	call write_computation_status_fsr ()
	end if
	contains
	<<real subtraction: real subtraction evaluate region fsr: procedures>>
	subroutine write_computation_status_fsr (passed, total, region_type, full)
	integer, intent(in), optional :: passed, total
	character(*), intent(in), optional :: region_type
	integer :: i_born
	integer :: u
	real(default) :: xi
	logical :: yorn
	logical, intent(in), optional :: full
	yorn = .true.
	if (present (full)) yorn = full
	if (debug_on) call msg_debug (D_SUBTRACTION, "real_subtraction_evaluate_region_fsr")
	u = given_output_unit (); if (u < 0) return
	i_born = rsub%reg_data%regions(alr)%uborn_index
	xi = rsub%real_kinematics%xi_max (i_phs) * rsub%real_kinematics%xi_tilde
	write (u,'(A,I2)') 'rsub%purpose: ', rsub%purpose
	- write (u,'(A,I3)') 'alr: ', alr
	+ write (u,'(A,I4)') 'alr: ', alr
	write (u,'(A,I3)') 'emitter: ', emitter
	write (u,'(A,I3)') 'i_phs: ', i_phs
	write (u,'(A,F6.4)') 'xi_max: ', rsub%real_kinematics%xi_max (i_phs)
	write (u,'(A,F6.4)') 'xi_cut: ', rsub%real_kinematics%xi_max(i_phs) * rsub%settings%fks_template%xi_cut
	write (u,'(A,F6.4,2X,A,F6.4)') 'xi: ', xi, 'y: ', rsub%real_kinematics%y (i_phs)
	if (yorn) then
	write (u,'(A,ES16.9)') 'sqme_born: ', rsub%sqme_born(i_born)
	write (u,'(A,ES16.9)') 'sqme_real: ', sqme_rad
	write (u,'(A,ES16.9)') 'sqme_soft: ', sqme_soft
	write (u,'(A,ES16.9)') 'sqme_coll: ', sqme_coll
	write (u,'(A,ES16.9)') 'sqme_coll-soft: ', sqme_cs
	write (u,'(A,ES16.9)') 'sqme_remn: ', sqme_remn
	write (u,'(A,ES16.9)') 'sqme_tot: ', sqme_tot
	if (present (passed) .and. present (total) .and. &
	present (region_type)) &
	write (u,'(A)') char (str (passed) // " of " // str (total) // &
	" " // region_type // " points passed in total")
	end if
	write (u,'(A,ES16.9)') 'jacobian - real: ', rsub%real_kinematics%jac(i_phs)%jac(1)
	write (u,'(A,ES16.9)') 'jacobian - soft: ', rsub%real_kinematics%jac(i_phs)%jac(2)
	write (u,'(A,ES16.9)') 'jacobian - coll: ', rsub%real_kinematics%jac(i_phs)%jac(3)
	end subroutine write_computation_status_fsr
	end function real_subtraction_evaluate_region_fsr

	@ %def real_subtraction_evalute_region_fsr
	@ Compares the real matrix element to the subtraction terms in the soft, the collinear
	or the soft-collinear limits. Used for debug purposes if [[?test_anti_coll_limit]],
	[[?test_coll_limit]] and/or [[?test_soft_limit]] are set in the Sindarin.
	[[sqme_soft]] and [[sqme_cs]] need to be provided if called for FSR and [[sqme_coll_plus]],
	[[sqme_coll_minus]], [[sqme_cs_plus]] as well as [[sqme_cs_minus]] need to be provided if called for ISR.
	<<real subtraction: procedures>>=
	subroutine real_subtraction_register_debug_sqme (rsub, alr, emitter, i_phs, sqme_rad, sqme_soft,&
	sqme_coll, sqme_cs, sqme_coll_plus, sqme_coll_minus, sqme_cs_plus, sqme_cs_minus)
	class(real_subtraction_t), intent(in) :: rsub
	integer, intent(in) :: alr, emitter, i_phs
	real(default), intent(in) :: sqme_rad, sqme_soft
	real(default), intent(in), optional :: sqme_coll, sqme_cs, sqme_coll_plus, sqme_coll_minus, sqme_cs_plus, sqme_cs_minus
	real(default), dimension(:), allocatable, save :: sqme_rad_store
	logical :: is_soft, is_collinear_plus, is_collinear_minus, is_fsr
	real(default), parameter :: soft_threshold = 0.001_default
	real(default), parameter :: coll_threshold = 0.99_default
	real(default), parameter :: rel_smallness = 0.01_default
	real(default) :: sqme_dummy, this_sqme_rad, y, xi_tilde
	logical, dimension(:), allocatable, save :: count_alr

	if (.not. allocated (sqme_rad_store)) then
	allocate (sqme_rad_store (rsub%reg_data%n_regions))
	sqme_rad_store = zero
	end if
	if (rsub%radiation_event) then
	sqme_rad_store(alr) = sqme_rad
	else
	if (.not. allocated (count_alr)) then
	allocate (count_alr (rsub%reg_data%n_regions))
	count_alr = .false.
	end if

	if (is_gluon (rsub%reg_data%regions(alr)%flst_real%flst(rsub%reg_data%n_legs_real))) then
	xi_tilde = rsub%real_kinematics%xi_tilde
	is_soft = xi_tilde < soft_threshold
	else
	is_soft = .false.
	end if
	y = rsub%real_kinematics%y(i_phs)
	is_collinear_plus = y > coll_threshold .and. &
	rsub%reg_data%regions(alr)%has_collinear_divergence()
	is_collinear_minus = -y > coll_threshold .and. &
	rsub%reg_data%regions(alr)%has_collinear_divergence()

	is_fsr = emitter > rsub%isr_kinematics%n_in

	if (is_fsr) then
	if (.not. present(sqme_coll) .or. .not. present(sqme_cs)) &
	call msg_error ("real_subtraction_register_debug_sqme: Wrong arguments for FSR")
	else
	if (.not. present(sqme_coll_plus) .or. .not. present(sqme_coll_minus) &
	.or. .not. present(sqme_cs_plus) .or. .not. present(sqme_cs_minus)) &
	call msg_error ("real_subtraction_register_debug_sqme: Wrong arguments for ISR")
	end if

	this_sqme_rad = sqme_rad_store(alr)
	if (is_soft .and. .not. is_collinear_plus .and. .not. is_collinear_minus) then
	if ( .not. nearly_equal (this_sqme_rad, sqme_soft, &
	abs_smallness=tiny(1._default), rel_smallness=rel_smallness)) then
	call msg_print_color (char ("Soft MEs do not match in region " // str (alr)), COL_RED)
	else
	call msg_print_color (char ("sqme_soft OK in region " // str (alr)), COL_GREEN)
	end if
	print *, 'this_sqme_rad, sqme_soft = ', this_sqme_rad, sqme_soft
	end if

	if (is_collinear_plus .and. .not. is_soft) then
	if (is_fsr) then
	if ( .not. nearly_equal (this_sqme_rad, sqme_coll, &
	abs_smallness=tiny(1._default), rel_smallness=rel_smallness)) then
	call msg_print_color (char ("Collinear MEs do not match in region " // str (alr)), COL_RED)
	else
	call msg_print_color (char ("sqme_coll OK in region " // str (alr)), COL_GREEN)
	end if
	print *, 'this_sqme_rad, sqme_coll = ', this_sqme_rad, sqme_coll
	else
	if ( .not. nearly_equal (this_sqme_rad, sqme_coll_plus, &
	abs_smallness=tiny(1._default), rel_smallness=rel_smallness)) then
	call msg_print_color (char ("Collinear MEs do not match in region " // str (alr)), COL_RED)
	else
	call msg_print_color (char ("sqme_coll_plus OK in region " // str (alr)), COL_GREEN)
	end if
	print *, 'this_sqme_rad, sqme_coll_plus = ', this_sqme_rad, sqme_coll_plus
	end if
	end if

	if (is_collinear_minus .and. .not. is_soft) then
	if (.not. is_fsr) then
	if ( .not. nearly_equal (this_sqme_rad, sqme_coll_minus, &
	abs_smallness=tiny(1._default), rel_smallness=rel_smallness)) then
	call msg_print_color (char ("Collinear MEs do not match in region " // str (alr)), COL_RED)
	else
	call msg_print_color (char ("sqme_coll_minus OK in region " // str (alr)), COL_GREEN)
	end if
	print *, 'this_sqme_rad, sqme_coll_minus = ', this_sqme_rad, sqme_coll_minus
	end if
	end if

	if (is_soft .and. is_collinear_plus) then
	if (is_fsr) then
	if ( .not. nearly_equal (this_sqme_rad, sqme_cs, &
	abs_smallness=tiny(1._default), rel_smallness=rel_smallness)) then
	call msg_print_color (char ("Soft-collinear MEs do not match in region " // str (alr)), COL_RED)
	else
	call msg_print_color (char ("sqme_cs OK in region " // str (alr)), COL_GREEN)
	end if
	print *, 'this_sqme_rad, sqme_cs = ', this_sqme_rad, sqme_cs
	else
	if ( .not. nearly_equal (this_sqme_rad, sqme_cs_plus, &
	abs_smallness=tiny(1._default), rel_smallness=rel_smallness)) then
	call msg_print_color (char ("Soft-collinear MEs do not match in region " // str (alr)), COL_RED)
	else
	call msg_print_color (char ("sqme_cs_plus OK in region " // str (alr)), COL_GREEN)
	end if
	print *, 'this_sqme_rad, sqme_cs_plus = ', this_sqme_rad, sqme_cs_plus
	end if
	end if

	if (is_soft .and. is_collinear_minus) then
	if (.not. is_fsr) then
	if ( .not. nearly_equal (this_sqme_rad, sqme_cs_minus, &
	abs_smallness=tiny(1._default), rel_smallness=rel_smallness)) then
	call msg_print_color (char ("Soft-collinear MEs do not match in region " // str (alr)), COL_RED)
	else
	call msg_print_color (char ("sqme_cs_minus OK in region " // str (alr)), COL_GREEN)
	end if
	print *, 'this_sqme_rad, sqme_cs_minus = ', this_sqme_rad, sqme_cs_minus
	end if
	end if

	count_alr (alr) = .true.
	if (all (count_alr)) then
	deallocate (count_alr)
	deallocate (sqme_rad_store)
	end if
	end if
	end subroutine real_subtraction_register_debug_sqme

	@ %def real_subtraction_register_debug_sqme
	@ For final state radiation, the subtraction remnant cross section is
	\begin{equation}
	\sigma_{\text{remn}} = \left(\sigma_{\text{soft}} - \sigma_{\text{soft-coll}}\right)
	\log (\xi_{\text{max}}\xi_{\text{cut}})) \cdot \tilde{\xi}.
	\end{equation}
	There is only one factor of $\log (\xi_{\text{max}}\xi_{\text{cut}})$ for both limits
	as $\xi_{\text{max}}$ does not depend on $y$ in the case of FSR.
	We use the already computed [[sqme_soft]] and [[sqme_cs]] with a factor of
	$\tilde{\xi}$ which we have to compensate.
	<<real subtraction: real subtraction evaluate region fsr: procedures>>=
	function compute_sqme_remnant_fsr (sqme_soft, sqme_cs, xi_max, xi_cut, xi_tilde) result (sqme_remn)
	real(default) :: sqme_remn
	real(default), intent(in) :: sqme_soft, sqme_cs, xi_max, xi_cut, xi_tilde
	if (debug_on) call msg_debug (D_SUBTRACTION, "compute_sqme_remnant_fsr")
	sqme_remn = (sqme_soft - sqme_cs) * log (xi_max * xi_cut) * xi_tilde
	end function compute_sqme_remnant_fsr

	@ %def compute_sqme_remnant_fsr
	@
	<<real subtraction: real subtraction: TBP>>=
	procedure :: evaluate_region_isr => real_subtraction_evaluate_region_isr
	<<real subtraction: procedures>>=
	function real_subtraction_evaluate_region_isr (rsub, alr, emitter, i_phs, i_res, alpha_coupling) &
	result (sqme_tot)
	real(default) :: sqme_tot
	class(real_subtraction_t), intent(inout) :: rsub
	integer, intent(in) :: alr, emitter, i_phs, i_res
	real(default), intent(in) :: alpha_coupling
	real(default) :: sqme_rad, sqme_soft, sqme_coll_plus, sqme_coll_minus
	real(default) :: sqme_cs_plus, sqme_cs_minus
	real(default) :: sqme_remn
	sqme_rad = zero; sqme_soft = zero;
	sqme_coll_plus = zero; sqme_coll_minus = zero
	sqme_cs_plus = zero; sqme_cs_minus = zero
	sqme_remn = zero
	associate (region => rsub%reg_data%regions(alr), template => rsub%settings%fks_template)
	if (rsub%radiation_event) then
	sqme_rad = rsub%sqme_real_non_sub (rsub%reg_data%get_matrix_element_index (alr), i_phs)
	call evaluate_fks_factors (sqme_rad, rsub%reg_data, rsub%real_kinematics, &
	alr, i_phs, emitter, i_res)
	call apply_kinematic_factors_radiation (sqme_rad, rsub%purpose, rsub%real_kinematics, &
	i_phs, .true., .false.)
	end if
	if (rsub%subtraction_event .and. .not. rsub%subtraction_deactivated) then
	call rsub%evaluate_subtraction_terms_isr (alr, emitter, i_phs, i_res, alpha_coupling, &
	sqme_soft, sqme_coll_plus, sqme_coll_minus, sqme_cs_plus, sqme_cs_minus)
	call apply_kinematic_factors_subtraction_isr (sqme_soft, sqme_coll_plus, &
	sqme_coll_minus, sqme_cs_plus, sqme_cs_minus, rsub%real_kinematics, i_phs)
	associate (symm_factor_fs => rsub%reg_data%born_to_real_symm_factor_fs (alr))
	sqme_soft = sqme_soft * symm_factor_fs
	sqme_coll_plus = sqme_coll_plus * symm_factor_fs
	sqme_coll_minus = sqme_coll_minus * symm_factor_fs
	sqme_cs_plus = sqme_cs_plus * symm_factor_fs
	sqme_cs_minus = sqme_cs_minus * symm_factor_fs
	end associate
	sqme_remn = compute_sqme_remnant_isr (rsub%isr_kinematics%isr_mode, &
	sqme_soft, sqme_cs_plus, sqme_cs_minus, &
	rsub%isr_kinematics, rsub%real_kinematics, i_phs, template%xi_cut)
	sqme_tot = sqme_rad - sqme_soft - sqme_coll_plus - sqme_coll_minus &
	+ sqme_cs_plus + sqme_cs_minus + sqme_remn
	else
	sqme_tot = sqme_rad
	end if
	end associate
	sqme_tot = sqme_tot * rsub%real_kinematics%jac_rand (i_phs)
	sqme_tot = sqme_tot * rsub%reg_data%regions(alr)%mult
	if (debug_active (D_SUBTRACTION) .and. .not. debug2_active (D_SUBTRACTION)) then
	call real_subtraction_register_debug_sqme (rsub, alr, emitter, i_phs, sqme_rad,&
	sqme_soft, sqme_coll_plus=sqme_coll_plus, sqme_coll_minus=sqme_coll_minus,&
	sqme_cs_plus=sqme_cs_plus, sqme_cs_minus=sqme_cs_minus)
	else if (debug2_active (D_SUBTRACTION)) then
	call write_computation_status_isr ()
	end if
	contains
	<<real subtraction: evaluate region isr: procedures>>
	subroutine write_computation_status_isr (unit)
	integer, intent(in), optional :: unit
	integer :: i_born
	integer :: u
	real(default) :: xi
	u = given_output_unit (unit); if (u < 0) return
	i_born = rsub%reg_data%regions(alr)%uborn_index
	xi = rsub%real_kinematics%xi_max (i_phs) * rsub%real_kinematics%xi_tilde
	- write (u,'(A,I2)') 'alr: ', alr
	+ write (u,'(A,I4)') 'alr: ', alr
	write (u,'(A,I2)') 'emitter: ', emitter
	write (u,'(A,F4.2)') 'xi_max: ', rsub%real_kinematics%xi_max (i_phs)
	print *, 'xi: ', xi, 'y: ', rsub%real_kinematics%y (i_phs)
	print *, 'xb1: ', rsub%isr_kinematics%x(1), 'xb2: ', rsub%isr_kinematics%x(2)
	print *, 'random jacobian: ', rsub%real_kinematics%jac_rand (i_phs)
	write (u,'(A,ES16.9)') 'sqme_born: ', rsub%sqme_born(i_born)
	write (u,'(A,ES16.9)') 'sqme_real: ', sqme_rad
	write (u,'(A,ES16.9)') 'sqme_soft: ', sqme_soft
	write (u,'(A,ES16.9)') 'sqme_coll_plus: ', sqme_coll_plus
	write (u,'(A,ES16.9)') 'sqme_coll_minus: ', sqme_coll_minus
	write (u,'(A,ES16.9)') 'sqme_cs_plus: ', sqme_cs_plus
	write (u,'(A,ES16.9)') 'sqme_cs_minus: ', sqme_cs_minus
	write (u,'(A,ES16.9)') 'sqme_remn: ', sqme_remn
	write (u,'(A,ES16.9)') 'sqme_tot: ', sqme_tot
	write (u,'(A,ES16.9)') 'jacobian - real: ', rsub%real_kinematics%jac(i_phs)%jac(1)
	write (u,'(A,ES16.9)') 'jacobian - soft: ', rsub%real_kinematics%jac(i_phs)%jac(2)
	write (u,'(A,ES16.9)') 'jacobian - collplus: ', rsub%real_kinematics%jac(i_phs)%jac(3)
	write (u,'(A,ES16.9)') 'jacobian - collminus: ', rsub%real_kinematics%jac(i_phs)%jac(4)
	end subroutine write_computation_status_isr
	end function real_subtraction_evaluate_region_isr

	@ %def real_subtraction_evaluate_region_isr
	@ Computes the soft remnant for ISR. The formulas can be found in arXiv:1002.2581, eq. 4.21.
	and arXiv:0709.2092, sec. 5.1.2.
	This results in
	\begin{equation}
	\sigma_{\text{remn}}^{\text{ISR}} = \log(\xi_{\text{max}}(y)) \sigma_{\text{soft}}
	- \frac{1}{2} \log(\xi_{\text{max}}(1)) \sigma^{\text{soft-coll}}_{\oplus}
	- \frac{1}{2} \log(\xi_{\text{max}}(-1)) \sigma^{\text{soft-coll}}_{\ominus}
	\end{equation}
	where for ISR, $\xi_{\text{max}}$ does explicitly depend on $y$
	due to the rescaling of the $x$ values from the Born to the real partonic system according to
	\begin{equation}
	x_\oplus = \frac{\overline{x}_\oplus}{\sqrt{1-\xi}} \sqrt{\frac{2-\xi(1-y)}{2-\xi(1+y)}}
	, \qquad
	x_\ominus = \frac{\overline{x}_\ominus}{\sqrt{1-\xi}} \sqrt{\frac{2-\xi(1+y)}{2-\xi(1-y)}}
	\end{equation}
	As $\xi_{\text{max}}$ is determined by the fact that the real $x_\oplus,x_\ominus$ have to
	stay in a physically meaningful regime, i.e. $x_\oplus,x_\ominus < 1$, this leads to
	\begin{align}
	\label{eqn:xi_max_isr}
	\xi_\text{max} = 1 - \text{max}
	&\left\{\frac{2(1+y)\overline{x}_\oplus^2}{\sqrt{(1+\overline{x}_\oplus^2)^2(1-y)^2 + 16y\overline{x}_\oplus^2} + (1-y)(1-\overline{x}_\oplus^2)}\right., \\
	&\left.\frac{2(1-y)\overline{x}_\oplus^2}{\sqrt{(1+\overline{x}_\oplus^2)^2(1+y)^2 - 16y\overline{x}_\oplus^2} + (1+y)(1-\overline{x}_\oplus^2)}\right\}
	\end{align}
	and thus
	\begin{align}
	\xi_{\text{max}}(y=1) &= 1 - \overline{x}_\oplus \\
	\xi_{\text{max}}(y=-1) &= 1 - \overline{x}_\ominus
	\end{align}
	So we need to use the unrescaled $\overline{x}_\oplus,\overline{x}_\ominus$ here.
	Factors of $\frac{1}{2}$ and $\frac{1}{\tilde{\xi}}$
	are already included in the matrix elements from [[apply_kinematic_factors_subtraction_isr]].
	We keep the former and remove the latter by multiplying with $\tilde{\xi}$.
	<<real subtraction: evaluate region isr: procedures>>=
	function compute_sqme_remnant_isr (isr_mode, sqme_soft, sqme_cs_plus, sqme_cs_minus, &
	isr_kinematics, real_kinematics, i_phs, xi_cut) result (sqme_remn)
	real(default) :: sqme_remn
	integer, intent(in) :: isr_mode
	real(default), intent(in) :: sqme_soft, sqme_cs_plus, sqme_cs_minus
	type(isr_kinematics_t), intent(in) :: isr_kinematics
	type(real_kinematics_t), intent(in) :: real_kinematics
	integer, intent(in) :: i_phs
	real(default), intent(in) :: xi_cut
	real(default) :: xi_tilde, xi_max, xi_max_plus, xi_max_minus, xb_plus, xb_minus
	xi_max = real_kinematics%xi_max (i_phs)
	xi_tilde = real_kinematics%xi_tilde
	select case (isr_mode)
	case (SQRTS_VAR)
	xb_plus = isr_kinematics%x(I_PLUS)
	xb_minus = isr_kinematics%x(I_MINUS)
	xi_max_plus = one - xb_plus
	xi_max_minus = one - xb_minus
	case (SQRTS_FIXED)
	xi_max_plus = real_kinematics%xi_max (i_phs)
	xi_max_minus = real_kinematics%xi_max (i_phs)
	end select
	sqme_remn = log (xi_max * xi_cut) * xi_tilde * sqme_soft &
	- log (xi_max_plus * xi_cut) * xi_tilde * sqme_cs_plus &
	- log (xi_max_minus * xi_cut) * xi_tilde * sqme_cs_minus
	end function compute_sqme_remnant_isr

	@ %def compute_sqme_remnant_isr
	@
	<<real subtraction: real subtraction: TBP>>=
	procedure :: evaluate_subtraction_terms_fsr => &
	real_subtraction_evaluate_subtraction_terms_fsr
	<<real subtraction: procedures>>=
	subroutine real_subtraction_evaluate_subtraction_terms_fsr (rsub, &
	alr, emitter, i_phs, i_res, alpha_coupling, sqme_soft, sqme_coll, sqme_cs)
	class(real_subtraction_t), intent(inout) :: rsub
	integer, intent(in) :: alr, emitter, i_phs, i_res
	real(default), intent(in) :: alpha_coupling
	real(default), intent(out) :: sqme_soft, sqme_coll, sqme_cs
	if (debug_on) call msg_debug (D_SUBTRACTION, "real_subtraction_evaluate_subtraction_terms_fsr")
	sqme_soft = zero; sqme_coll = zero; sqme_cs = zero
	associate (xi_tilde => rsub%real_kinematics%xi_tilde, &
	y => rsub%real_kinematics%y(i_phs), template => rsub%settings%fks_template)
	if (template%xi_cut > xi_tilde) &
	sqme_soft = rsub%compute_sub_soft (alr, emitter, i_phs, i_res, alpha_coupling)
	if (y - 1 + template%delta_o > 0) &
	sqme_coll = rsub%compute_sub_coll (alr, emitter, i_phs, alpha_coupling)
	if (template%xi_cut > xi_tilde .and. y - 1 + template%delta_o > 0) &
	sqme_cs = rsub%compute_sub_coll_soft (alr, emitter, i_phs, alpha_coupling)
	if (debug2_active (D_SUBTRACTION)) then
	print *, "FSR Cutoff:"
	print *, "sub_soft: ", template%xi_cut > xi_tilde, "(ME: ", sqme_soft, ")"
	print *, "sub_coll: ", (y - 1 + template%delta_o) > 0, "(ME: ", sqme_coll, ")"
	print *, "sub_coll_soft: ", template%xi_cut > xi_tilde .and. (y - 1 + template%delta_o) > 0, &
	"(ME: ", sqme_cs, ")"
	end if
	end associate
	end subroutine real_subtraction_evaluate_subtraction_terms_fsr

	@ %def real_subtraction_evaluate_subtraction_terms_fsr
	@
	<<real subtraction: procedures>>=
	subroutine evaluate_fks_factors (sqme, reg_data, real_kinematics, &
	alr, i_phs, emitter, i_res)
	real(default), intent(inout) :: sqme
	type(region_data_t), intent(inout) :: reg_data
	type(real_kinematics_t), intent(in), target :: real_kinematics
	integer, intent(in) :: alr, i_phs, emitter, i_res
	real(default) :: s_alpha
	type(phs_point_set_t), pointer :: p_real => null ()
	if (reg_data%has_pseudo_isr ()) then
	p_real => real_kinematics%p_real_onshell (i_phs)
	else
	p_real => real_kinematics%p_real_cms
	end if
	s_alpha = reg_data%get_svalue (p_real%get_momenta(i_phs), alr, emitter, i_res)
	if (debug2_active (D_SUBTRACTION)) call msg_print_color('s_alpha', s_alpha, COL_YELLOW)
	if (s_alpha > one + tiny_07) call msg_fatal ("s_alpha > 1!")
	sqme = sqme * s_alpha
	associate (region => reg_data%regions(alr))
	if (emitter > reg_data%n_in) then
	if (debug2_active (D_SUBTRACTION)) &
	print *, 'Double FSR: ', region%double_fsr_factor (p_real%get_momenta(i_phs))
	sqme = sqme * region%double_fsr_factor (p_real%get_momenta(i_phs))
	end if
	end associate
	end subroutine evaluate_fks_factors

	@ %def evaluate_fks_factors
	@
	<<real subtraction: procedures>>=
	subroutine apply_kinematic_factors_radiation (sqme, purpose, real_kinematics, &
	i_phs, isr, threshold, emitter)
	real(default), intent(inout) :: sqme
	integer, intent(in) :: purpose
	type(real_kinematics_t), intent(in) :: real_kinematics
	integer, intent(in) :: i_phs
	logical, intent(in) :: isr, threshold
	integer, intent(in), optional :: emitter
	real(default) :: xi, xi_tilde, s
	xi_tilde = real_kinematics%xi_tilde
	xi = xi_tilde * real_kinematics%xi_max (i_phs)
	select case (purpose)
	case (INTEGRATION, FIXED_ORDER_EVENTS)
	sqme = sqme * xi*2 / xi_tilde real_kinematics%jac(i_phs)%jac(1)
	case (POWHEG)
	if (.not. isr) then
	s = real_kinematics%cms_energy2
	sqme = sqme * real_kinematics%jac(i_phs)%jac(1) * s / (8 * twopi3) * xi
	else
	call msg_fatal ("POWHEG with initial-state radiation not implemented yet")
	end if
	end select
	end subroutine apply_kinematic_factors_radiation

	@ %def apply_kinematics_factors_radiation
	@ This routine applies the factors in the integrand of eq. 4.20
	in arXiv:1002.2581 to the matrix elements.
	<<real subtraction: procedures>>=
	subroutine apply_kinematic_factors_subtraction_fsr &
	(sqme_soft, sqme_coll, sqme_cs, real_kinematics, i_phs)
	real(default), intent(inout) :: sqme_soft, sqme_coll, sqme_cs
	type(real_kinematics_t), intent(in) :: real_kinematics
	integer, intent(in) :: i_phs
	real(default) :: xi_tilde, onemy
	xi_tilde = real_kinematics%xi_tilde
	onemy = one - real_kinematics%y(i_phs)
	sqme_soft = sqme_soft / onemy / xi_tilde
	sqme_coll = sqme_coll / onemy / xi_tilde
	sqme_cs = sqme_cs / onemy / xi_tilde
	associate (jac => real_kinematics%jac(i_phs)%jac)
	sqme_soft = sqme_soft * jac(2)
	sqme_coll = sqme_coll * jac(3)
	sqme_cs = sqme_cs * jac(2)
	end associate
	end subroutine apply_kinematic_factors_subtraction_fsr

	@ %def apply_kinematic_factors_subtraction_fsr
	@ This routine applies the factors in the integrand of eq. 4.21
	in arXiv:1002.2581 to the matrix elements.
	<<real subtraction: procedures>>=
	subroutine apply_kinematic_factors_subtraction_isr &
	(sqme_soft, sqme_coll_plus, sqme_coll_minus, sqme_cs_plus, &
	sqme_cs_minus, real_kinematics, i_phs)
	real(default), intent(inout) :: sqme_soft, sqme_coll_plus, sqme_coll_minus
	real(default), intent(inout) :: sqme_cs_plus, sqme_cs_minus
	type(real_kinematics_t), intent(in) :: real_kinematics
	integer, intent(in) :: i_phs
	real(default) :: xi_tilde, y, onemy, onepy
	xi_tilde = real_kinematics%xi_tilde
	y = real_kinematics%y (i_phs)
	onemy = one - y; onepy = one + y
	associate (jac => real_kinematics%jac(i_phs)%jac)
	sqme_soft = sqme_soft / (one - y*2) / xi_tilde jac(2)
	sqme_coll_plus = sqme_coll_plus / onemy / xi_tilde / two * jac(3)
	sqme_coll_minus = sqme_coll_minus / onepy / xi_tilde / two * jac(4)
	sqme_cs_plus = sqme_cs_plus / onemy / xi_tilde / two * jac(2)
	sqme_cs_minus = sqme_cs_minus / onepy / xi_tilde / two * jac(2)
	end associate
	end subroutine apply_kinematic_factors_subtraction_isr

	@ %def apply_kinematic_factors_subtraction_isr
	@ This subroutine evaluates the soft and collinear subtraction terms for ISR.
	References:
	\begin{itemize}
	\item arXiv:0709.2092, sec. 2.4.2
	\item arXiv:0908.4272, sec. 4.2
	\end{itemize}
	For the collinear terms, the procedure is as follows:

	If the emitter is 0, then a gluon was radiated from one of the incoming partons.
	Gluon emissions require two counter terms:
	One for emission in the direction of the first incoming parton $\oplus$
	and a second for emission in the direction of the second incoming parton $\ominus$
	because in both cases, there are divergent diagrams contributing to the matrix element.
	So in this case both, [[sqme_coll_plus]] and [[sqme_coll_minus]], are non-zero.

	If the emitter is 1 or 2, then a quark was emitted instead of a gluon.
	This only leads to a divergence collinear to the emitter because for anti-collinear
	quark emission, there are simply no divergent diagrams in the same region as two
	collinear quarks that cannot originate in the same splitting are non-divergent.
	This means that in case the emitter is 1, we need non-zero [[sqme_coll_plus]]
	and in case the emitter is 2, we need non-zero [[sqme_coll_minus]].

	At this point, we want to remind ourselves that in case of initial state divergences,
	$y$ is just the polar angle, so the [[sqme_coll_minus]] terms are there to counter emissions in
	the direction of the second incoming parton $\ominus$ and \textbf{not} to counter in general
	anti-collinear divergences.
	<<real subtraction: real subtraction: TBP>>=
	procedure :: evaluate_subtraction_terms_isr => &
	real_subtraction_evaluate_subtraction_terms_isr
	<<real subtraction: procedures>>=
	subroutine real_subtraction_evaluate_subtraction_terms_isr (rsub, &
	alr, emitter, i_phs, i_res, alpha_coupling, sqme_soft, sqme_coll_plus, &
	sqme_coll_minus, sqme_cs_plus, sqme_cs_minus)
	class(real_subtraction_t), intent(inout) :: rsub
	integer, intent(in) :: alr, emitter, i_phs, i_res
	real(default), intent(in) :: alpha_coupling
	real(default), intent(out) :: sqme_soft
	real(default), intent(out) :: sqme_coll_plus, sqme_coll_minus
	real(default), intent(out) :: sqme_cs_plus, sqme_cs_minus
	sqme_coll_plus = zero; sqme_cs_plus = zero
	sqme_coll_minus = zero; sqme_cs_minus = zero
	associate (xi_tilde => rsub%real_kinematics%xi_tilde, &
	y => rsub%real_kinematics%y(i_phs), template => rsub%settings%fks_template)
	if (template%xi_cut > xi_tilde) &
	sqme_soft = rsub%compute_sub_soft (alr, emitter, i_phs, i_res, alpha_coupling)
	if (emitter /= 2) then
	if (y - 1 + template%delta_i > 0) then
	sqme_coll_plus = rsub%compute_sub_coll (alr, 1, i_phs, alpha_coupling)
	if (template%xi_cut > xi_tilde) then
	sqme_cs_plus = rsub%compute_sub_coll_soft (alr, 1, i_phs, alpha_coupling)
	end if
	end if
	end if
	if (emitter /= 1) then
	if (-y - 1 + template%delta_i > 0) then
	sqme_coll_minus = rsub%compute_sub_coll (alr, 2, i_phs, alpha_coupling)
	if (template%xi_cut > xi_tilde) then
	sqme_cs_minus = rsub%compute_sub_coll_soft (alr, 2, i_phs, alpha_coupling)
	end if
	end if
	end if
	if (debug2_active (D_SUBTRACTION)) then
	print *, "ISR Cutoff:"
	print *, "y: ", y
	print *, "delta_i: ", template%delta_i
	print *, "emitter: ", emitter
	print *, "sub_soft: ", template%xi_cut > xi_tilde, "(ME: ", sqme_soft, ")"
	print *, "sub_coll_plus: ", (y - 1 + template%delta_i) > 0, "(ME: ", sqme_coll_plus, ")"
	print *, "sub_coll_minus: ", (-y - 1 + template%delta_i) > 0, "(ME: ", sqme_coll_minus, ")"
	print *, "sub_coll_soft_plus: ", template%xi_cut > xi_tilde .and. (y - 1 + template%delta_i) > 0, &
	"(ME: ", sqme_cs_plus, ")"
	print *, "sub_coll_soft_minus: ", template%xi_cut > xi_tilde .and. (-y - 1 + template%delta_i) > 0, &
	"(ME: ", sqme_cs_minus, ")"
	end if
	end associate
	end subroutine real_subtraction_evaluate_subtraction_terms_isr

	@ %def real_subtraction_evaluate_subtraction_terms_isr
	@ This is basically the part of the real Jacobian corresponding to
	\begin{equation*}
	\frac{q^2}{8 (2\pi)^3}.
	\end{equation*}
	We interpret it as the additional phase space factor of the real component,
	to be more consistent with the evaluation of the Born phase space.
	<<real subtraction: real subtraction: TBP>>=
	procedure :: get_phs_factor => real_subtraction_get_phs_factor
	<<real subtraction: procedures>>=
	function real_subtraction_get_phs_factor (rsub, i_con) result (factor)
	real(default) :: factor
	class(real_subtraction_t), intent(in) :: rsub
	integer, intent(in) :: i_con
	real(default) :: s
	s = rsub%real_kinematics%xi_ref_momenta (i_con)**2
	factor = s / (8 * twopi3)
	end function real_subtraction_get_phs_factor

	@ %def real_subtraction_get_phs_factor
	@
	<<real subtraction: real subtraction: TBP>>=
	procedure :: get_i_contributor => real_subtraction_get_i_contributor
	<<real subtraction: procedures>>=
	function real_subtraction_get_i_contributor (rsub, alr) result (i_con)
	integer :: i_con
	class(real_subtraction_t), intent(in) :: rsub
	integer, intent(in) :: alr
	if (allocated (rsub%reg_data%alr_to_i_contributor)) then
	i_con = rsub%reg_data%alr_to_i_contributor (alr)
	else
	i_con = 1
	end if
	end function real_subtraction_get_i_contributor

	@ %def real_subtraction_get_i_contributor
	@ Computes the soft subtraction term.
	If there is an initial state emission having a soft divergence, then a gluon
	has to have been emitted. A gluon can always be emitted from both IS partons
	and thus, we can take the [[sf_factor]] for emitter $0$ in this case.
	Be aware that this approach will not work for $pe$ collisions.
	<<real subtraction: real subtraction: TBP>>=
	procedure :: compute_sub_soft => real_subtraction_compute_sub_soft
	<<real subtraction: procedures>>=
	function real_subtraction_compute_sub_soft (rsub, alr, emitter, &
	i_phs, i_res, alpha_coupling) result (sqme_soft)
	real(default) :: sqme_soft
	class(real_subtraction_t), intent(inout) :: rsub
	integer, intent(in) :: alr, emitter, i_phs, i_res
	real(default), intent(in) :: alpha_coupling
	integer :: i_xi_ref, i_born
	real(default) :: q2, sf_factor
	type(vector4_t), dimension(:), allocatable :: p_born
	associate (real_kinematics => rsub%real_kinematics, &
	nlo_corr_type => rsub%reg_data%regions(alr)%nlo_correction_type, &
	sregion => rsub%reg_data%regions(alr))
	sqme_soft = zero
	if (sregion%has_soft_divergence ()) then
	i_xi_ref = rsub%sub_soft%i_xi_ref (alr, i_phs)
	q2 = real_kinematics%xi_ref_momenta (i_xi_ref)**2
	allocate (p_born (rsub%reg_data%n_legs_born))
	if (rsub%reg_data%has_pseudo_isr ()) then
	- p_born = real_kinematics%p_born_onshell%get_momenta(1)
	+ p_born = real_kinematics%p_born_onshell%get_momenta (1)
	else
	- p_born = real_kinematics%p_born_cms%get_momenta(1) ! TODO: cms or lab?
	+ p_born = real_kinematics%p_born_cms%get_momenta (1)
	end if
	if (emitter > rsub%sub_soft%reg_data%n_in) then
	call rsub%sub_soft%create_softvec_fsr &
	(p_born, real_kinematics%y_soft(i_phs), &
	real_kinematics%phi, emitter, &
	real_kinematics%xi_ref_momenta(i_xi_ref))
	sf_factor = one
	else
	call rsub%sub_soft%create_softvec_isr &
	(real_kinematics%y_soft(i_phs), real_kinematics%phi)
	sf_factor = rsub%sf_factors(alr, 0)
	end if
	i_born = sregion%uborn_index
	select case (char (nlo_corr_type))
	case ("QCD")
	sqme_soft = rsub%sub_soft%compute &
	(p_born, rsub%sqme_born_color_c(:,:,i_born) * &
	sf_factor, real_kinematics%y(i_phs), &
	q2, alpha_coupling, alr, emitter, i_res)
	case ("EW")
	sqme_soft = rsub%sub_soft%compute &
	(p_born, rsub%sqme_born_charge_c(:,:,i_born) * &
	sf_factor, real_kinematics%y(i_phs), &
	q2, alpha_coupling, alr, emitter, i_res)
	end select
	end if
	end associate
	if (debug2_active (D_SUBTRACTION)) call check_soft_vector ()
	contains
	subroutine check_soft_vector ()
	+ !!! p_soft = p_gluon / E_gluon only in the soft limit
	+ !!! This check only has to be passed for ISR or for FSR if ?test_soft_limit = true is set.
	type(vector4_t) :: p_gluon
	if (debug_on) call msg_debug2 (D_SUBTRACTION, "Compare soft vector: ")
	print *, 'p_soft: ', rsub%sub_soft%p_soft%p
	print *, 'Normalized gluon momentum: '
	if (rsub%reg_data%has_pseudo_isr ()) then
	p_gluon = rsub%real_kinematics%p_real_onshell(thr_leg(emitter))%get_momentum &
	(i_phs, rsub%reg_data%n_legs_real)
	else
	p_gluon = rsub%real_kinematics%p_real_cms%get_momentum &
	(i_phs, rsub%reg_data%n_legs_real)
	end if
	call vector4_write (p_gluon / p_gluon%p(0), show_mass = .true.)
	end subroutine check_soft_vector
	end function real_subtraction_compute_sub_soft

	@ %def real_subtraction_compute_sub_soft
	@
	<<real subtraction: real subtraction: TBP>>=
	procedure :: get_spin_correlation_term => real_subtraction_get_spin_correlation_term
	<<real subtraction: procedures>>=
	function real_subtraction_get_spin_correlation_term (rsub, alr, i_born, emitter) &
	result (mom_times_sqme)
	real(default) :: mom_times_sqme
	class(real_subtraction_t), intent(in) :: rsub
	integer, intent(in) :: alr, i_born, emitter
	real(default), dimension(0:3) :: k_perp
	integer :: mu, nu
	if (rsub%sc_required(alr)) then
	if (debug2_active(D_SUBTRACTION)) call check_me_consistency ()
	associate (real_kin => rsub%real_kinematics)
	if (emitter > rsub%reg_data%n_in) then
	k_perp = real_subtraction_compute_k_perp_fsr ( &
	real_kin%p_born_lab%get_momentum(1, emitter), &
	rsub%real_kinematics%phi)
	else
	k_perp = real_subtraction_compute_k_perp_isr ( &
	real_kin%p_born_lab%get_momentum(1, emitter), &
	rsub%real_kinematics%phi)
	end if
	end associate
	mom_times_sqme = zero
	do mu = 0, 3
	do nu = 0, 3
	mom_times_sqme = mom_times_sqme + &
	k_perp(mu) * k_perp(nu) * rsub%sqme_born_spin_c (mu, nu, emitter, i_born)
	end do
	end do
	else
	mom_times_sqme = zero
	end if
	contains
	subroutine check_me_consistency ()
	real(default) :: sqme_sum
	if (debug_on) call msg_debug2 (D_SUBTRACTION, "Spin-correlation: Consistency check")
	sqme_sum = rsub%sqme_born_spin_c(0,0,emitter,i_born) &
	- rsub%sqme_born_spin_c(1,1,emitter,i_born) &
	- rsub%sqme_born_spin_c(2,2,emitter,i_born) &
	- rsub%sqme_born_spin_c(3,3,emitter,i_born)
	if (.not. nearly_equal (sqme_sum, -rsub%sqme_born(i_born), 0.0001_default)) then
	print *, 'Spin-correlated matrix elements are not consistent: '
	print *, 'emitter: ', emitter
	print *, 'g^{mu,nu} B_{mu,nu}: ', -sqme_sum
	print *, 'all Born matrix elements: ', rsub%sqme_born
	call msg_fatal ("FAIL")
	else
	call msg_print_color ("Success", COL_GREEN)
	end if
	end subroutine check_me_consistency
	end function real_subtraction_get_spin_correlation_term

	@ %def real_subtraction_get_spin_correlation_term
	@ Construct a normalised momentum perpendicular to momentum [[p]] and rotate by
	an arbitrary angle [[phi]]. The angular conventions we use here are
	equivalent to those used by POWHEG.
	<<real subtraction: public>>=
	public :: real_subtraction_compute_k_perp_fsr, &
	real_subtraction_compute_k_perp_isr
	<<real subtraction: procedures>>=
	function real_subtraction_compute_k_perp_fsr (p, phi) result (k_perp_fsr)
	real(default), dimension(0:3) :: k_perp_fsr
	type(vector4_t), intent(in) :: p
	real(default), intent(in) :: phi
	type(vector4_t) :: k
	type(vector3_t) :: vec
	type(lorentz_transformation_t) :: rot
	vec = p%p(1:3) / p%p(0)
	k%p(0) = zero
	k%p(1) = p%p(1); k%p(2) = p%p(2)
	k%p(3) = - (p%p(1)2 + p%p(2)2) / p%p(3)
	rot = rotation (cos(phi), sin(phi), vec)
	k = rot * k
	k%p(1:3) = k%p(1:3) / space_part_norm (k)
	k_perp_fsr = k%p
	end function real_subtraction_compute_k_perp_fsr

	function real_subtraction_compute_k_perp_isr (p, phi) result (k_perp_isr)
	real(default), dimension(0:3) :: k_perp_isr
	type(vector4_t), intent(in) :: p
	real(default), intent(in) :: phi
	k_perp_isr(0) = zero
	k_perp_isr(1) = sin(phi)
	k_perp_isr(2) = cos(phi)
	k_perp_isr(3) = zero
	end function real_subtraction_compute_k_perp_isr

	@ %def real_subtraction_compute_k_perp_fsr, real_subtraction_compute_k_perp_isr
	@
	<<real subtraction: real subtraction: TBP>>=
	procedure :: compute_sub_coll => real_subtraction_compute_sub_coll
	<<real subtraction: procedures>>=
	function real_subtraction_compute_sub_coll (rsub, alr, em, i_phs, alpha_coupling) &
	result (sqme_coll)
	real(default) :: sqme_coll
	class(real_subtraction_t), intent(inout) :: rsub
	integer, intent(in) :: alr, em, i_phs
	real(default), intent(in) :: alpha_coupling
	real(default) :: xi, xi_max
	real(default) :: mom_times_sqme_spin_c
	integer :: i_con
	real(default) :: pfr
	associate (sregion => rsub%reg_data%regions(alr))
	sqme_coll = zero
	if (sregion%has_collinear_divergence ()) then
	xi = rsub%real_kinematics%xi_tilde * rsub%real_kinematics%xi_max(i_phs)
	if (rsub%sub_coll%use_resonance_mappings) then
	i_con = rsub%reg_data%alr_to_i_contributor (alr)
	else
	i_con = 1
	end if
	mom_times_sqme_spin_c = rsub%get_spin_correlation_term (alr, sregion%uborn_index, em)
	if (em <= rsub%sub_coll%n_in) then
	select case (rsub%isr_kinematics%isr_mode)
	case (SQRTS_FIXED)
	xi_max = rsub%real_kinematics%xi_max(i_phs)
	case (SQRTS_VAR)
	xi_max = one - rsub%isr_kinematics%x(em)
	end select
	xi = rsub%real_kinematics%xi_tilde * xi_max
	if (sregion%nlo_correction_type == "QCD") then
	call rsub%sub_coll%set_parameters (CA = CA, CF = CF, TR = TR)
	else if (sregion%nlo_correction_type == "EW") then
	call rsub%sub_coll%set_parameters (CA = zero, &
	CF = sregion%flst_real%charge(em)**2, &
	TR = sregion%flst_real%charge(size(sregion%flst_real%flst))**2)
	end if
	sqme_coll = rsub%sub_coll%compute_isr (em, sregion%flst_real%flst, &
	rsub%real_kinematics%p_born_lab%phs_point(1)%p, &
	rsub%sqme_born(sregion%uborn_index) * rsub%sf_factors(alr, em), &
	mom_times_sqme_spin_c * rsub%sf_factors(alr, em), &
	xi, alpha_coupling, rsub%isr_kinematics%isr_mode)
	else
	if (sregion%nlo_correction_type == "QCD") then
	call rsub%sub_coll%set_parameters (CA = CA, CF = CF, TR = TR)
	else if (sregion%nlo_correction_type == "EW") then
	call rsub%sub_coll%set_parameters (CA = zero, &
	CF = sregion%flst_real%charge(sregion%emitter)**2, &
	TR = sregion%flst_real%charge(sregion%emitter)**2)
	end if
	sqme_coll = rsub%sub_coll%compute_fsr (sregion%emitter, sregion%flst_real%flst, &
	rsub%real_kinematics%xi_ref_momenta (i_con), &
	rsub%real_kinematics%p_born_lab%get_momenta(1), &
	rsub%sqme_born(sregion%uborn_index), &
	mom_times_sqme_spin_c, &
	xi, alpha_coupling, sregion%double_fsr)
	if (rsub%sub_coll%use_resonance_mappings) then
	select type (fks_mapping => rsub%reg_data%fks_mapping)
	type is (fks_mapping_resonances_t)
	pfr = fks_mapping%get_resonance_weight (alr, &
	rsub%real_kinematics%p_born_cms%get_momenta(1))
	end select
	sqme_coll = sqme_coll * pfr
	end if
	end if
	end if
	end associate
	end function real_subtraction_compute_sub_coll

	@ %def real_subtraction_compute_sub_coll
	@ Computes the soft-collinear subtraction term. For alpha regions with emitter
	$0$, this routine is called with [[em == 1]] and [[em == 2]] separately.
	To still be able to use the unrescaled pdf factors stored in [[sf_factors(alr, 0)]]
	in this case, we need to differentiate between [[em]] and [[em_pdf]].
	<<real subtraction: real subtraction: TBP>>=
	procedure :: compute_sub_coll_soft => real_subtraction_compute_sub_coll_soft
	<<real subtraction: procedures>>=
	function real_subtraction_compute_sub_coll_soft (rsub, alr, em, i_phs, alpha_coupling) &
	result (sqme_cs)
	real(default) :: sqme_cs
	class(real_subtraction_t), intent(inout) :: rsub
	integer, intent(in) :: alr, em, i_phs
	real(default), intent(in) :: alpha_coupling
	real(default) :: mom_times_sqme_spin_c
	integer :: i_con, em_pdf
	associate (sregion => rsub%reg_data%regions(alr))
	sqme_cs = zero
	if (sregion%has_collinear_divergence ()) then
	if (rsub%sub_coll%use_resonance_mappings) then
	i_con = rsub%reg_data%alr_to_i_contributor (alr)
	else
	i_con = 1
	end if
	mom_times_sqme_spin_c = rsub%get_spin_correlation_term (alr, sregion%uborn_index, em)
	if (em <= rsub%sub_coll%n_in) then
	em_pdf = sregion%emitter
	if (sregion%nlo_correction_type == "QCD") then
	call rsub%sub_coll%set_parameters (CA = CA, CF = CF, TR = TR)
	else if (sregion%nlo_correction_type == "EW") then
	call rsub%sub_coll%set_parameters (CA = zero, &
	CF = sregion%flst_real%charge(em)**2, &
	TR = sregion%flst_real%charge(size(sregion%flst_real%flst))**2)
	end if
	sqme_cs = rsub%sub_coll%compute_isr (em, sregion%flst_real%flst, &
	rsub%real_kinematics%p_born_lab%phs_point(1)%p, &
	rsub%sqme_born(sregion%uborn_index) * rsub%sf_factors(alr, em_pdf), &
	mom_times_sqme_spin_c * rsub%sf_factors(alr, em_pdf), &
	zero, alpha_coupling, rsub%isr_kinematics%isr_mode)
	else
	if (sregion%nlo_correction_type == "QCD") then
	call rsub%sub_coll%set_parameters (CA = CA, CF = CF, TR = TR)
	else if (sregion%nlo_correction_type == "EW") then
	call rsub%sub_coll%set_parameters (CA = zero, &
	CF = sregion%flst_real%charge(sregion%emitter)**2, &
	TR = sregion%flst_real%charge(sregion%emitter)**2)
	end if
	sqme_cs = rsub%sub_coll%compute_fsr (sregion%emitter, sregion%flst_real%flst, &
	rsub%real_kinematics%xi_ref_momenta(i_con), &
	rsub%real_kinematics%p_born_lab%phs_point(1)%p, &
	rsub%sqme_born(sregion%uborn_index), &
	mom_times_sqme_spin_c, &
	zero, alpha_coupling, sregion%double_fsr)
	end if
	end if
	end associate
	end function real_subtraction_compute_sub_coll_soft

	@ %def real_subtraction_compute_sub_coll_soft
	<<real subtraction: real subtraction: TBP>>=
	procedure :: requires_spin_correlations => &
	real_subtraction_requires_spin_correlations
	<<real subtraction: procedures>>=
	function real_subtraction_requires_spin_correlations (rsub) result (val)
	logical :: val
	class(real_subtraction_t), intent(in) :: rsub
	val = any (rsub%sc_required)
	end function real_subtraction_requires_spin_correlations

	@ %def real_subtraction_requires_spin_correlations
	@
	<<real subtraction: real subtraction: TBP>>=
	procedure :: final => real_subtraction_final
	<<real subtraction: procedures>>=
	subroutine real_subtraction_final (rsub)
	class(real_subtraction_t), intent(inout) :: rsub
	call rsub%sub_soft%final ()
	call rsub%sub_coll%final ()
	!!! Finalization of region data is done in pcm_nlo_final
	if (associated (rsub%reg_data)) nullify (rsub%reg_data)
	!!! Finalization of real kinematics is done in pcm_instance_nlo_final
	if (associated (rsub%real_kinematics)) nullify (rsub%real_kinematics)
	if (associated (rsub%isr_kinematics)) nullify (rsub%isr_kinematics)
	if (allocated (rsub%sqme_real_non_sub)) deallocate (rsub%sqme_real_non_sub)
	if (allocated (rsub%sqme_born)) deallocate (rsub%sqme_born)
	if (allocated (rsub%sf_factors)) deallocate (rsub%sf_factors)
	if (allocated (rsub%sqme_born_color_c)) deallocate (rsub%sqme_born_color_c)
	if (allocated (rsub%sqme_born_charge_c)) deallocate (rsub%sqme_born_charge_c)
	if (allocated (rsub%sc_required)) deallocate (rsub%sc_required)
	if (allocated (rsub%selected_alr)) deallocate (rsub%selected_alr)
	end subroutine real_subtraction_final

	@ %def real_subtraction_final
	@ \subsubsection{Partitions of the real matrix element and Powheg damping}
	<<real subtraction: public>>=
	public :: real_partition_t
	<<real subtraction: types>>=
	type, abstract :: real_partition_t
	contains
	<<real subtraction: real partition: TBP>>
	end type real_partition_t

	@ %def real partition_t
	@
	<<real subtraction: real partition: TBP>>=
	procedure (real_partition_init), deferred :: init
	<<real subtraction: interfaces>>=
	abstract interface
	subroutine real_partition_init (partition, scale, reg_data)
	import
	class(real_partition_t), intent(out) :: partition
	real(default), intent(in) :: scale
	type(region_data_t), intent(in) :: reg_data
	end subroutine real_partition_init
	end interface

	@ %def real_partition_init
	@
	<<real subtraction: real partition: TBP>>=
	procedure (real_partition_write), deferred :: write
	<<real subtraction: interfaces>>=
	abstract interface
	subroutine real_partition_write (partition, unit)
	import
	class(real_partition_t), intent(in) :: partition
	integer, intent(in), optional :: unit
	end subroutine real_partition_write
	end interface

	@ %def real_partition_write
	@ To allow really arbitrary damping functions, [[get_f]] should get the
	full real phase space as argument and not just some [[pt2]] that is
	extracted higher up.
	<<real subtraction: real partition: TBP>>=
	procedure (real_partition_get_f), deferred :: get_f
	<<real subtraction: interfaces>>=
	abstract interface
	function real_partition_get_f (partition, p) result (f)
	import
	real(default) :: f
	class(real_partition_t), intent(in) :: partition
	type(vector4_t), intent(in), dimension(:) :: p
	end function real_partition_get_f
	end interface

	@ %def real_partition_get_f
	@
	<<real subtraction: public>>=
	public :: powheg_damping_simple_t
	<<real subtraction: types>>=
	type, extends (real_partition_t) :: powheg_damping_simple_t
	real(default) :: h2 = 5._default
	integer :: emitter
	contains
	<<real subtraction: powheg damping simple: TBP>>
	end type powheg_damping_simple_t

	@ %def powheg_damping_simple_t
	@
	<<real subtraction: powheg damping simple: TBP>>=
	procedure :: get_f => powheg_damping_simple_get_f
	<<real subtraction: procedures>>=
	function powheg_damping_simple_get_f (partition, p) result (f)
	real(default) :: f
	class(powheg_damping_simple_t), intent(in) :: partition
	type(vector4_t), intent(in), dimension(:) :: p
	!!! real(default) :: pt2
	f = 1
	call msg_bug ("Simple damping currently not available")
	!!! TODO (cw-2017-03-01) Compute pt2 from emitter)
	!!! f = partition%h2 / (pt2 + partition%h2)
	end function powheg_damping_simple_get_f

	@ %def powheg_damping_simple_get_f
	@
	<<real subtraction: powheg damping simple: TBP>>=
	procedure :: init => powheg_damping_simple_init
	<<real subtraction: procedures>>=
	subroutine powheg_damping_simple_init (partition, scale, reg_data)
	class(powheg_damping_simple_t), intent(out) :: partition
	real(default), intent(in) :: scale
	type(region_data_t), intent(in) :: reg_data
	partition%h2 = scale**2
	end subroutine powheg_damping_simple_init

	@ %def powheg_damping_simple_init
	@
	<<real subtraction: powheg damping simple: TBP>>=
	procedure :: write => powheg_damping_simple_write
	<<real subtraction: procedures>>=
	subroutine powheg_damping_simple_write (partition, unit)
	class(powheg_damping_simple_t), intent(in) :: partition
	integer, intent(in), optional :: unit
	integer :: u
	u = given_output_unit (unit); if (u < 0) return
	write (u, "(1x,A)") "Powheg damping simple: "
	write (u, "(1x,A, "// FMT_15 // ")") "scale h2: ", partition%h2
	end subroutine powheg_damping_simple_write

	@ %def powheg_damping_simple_write
	@
	<<real subtraction: public>>=
	public :: real_partition_fixed_order_t
	<<real subtraction: types>>=
	type, extends (real_partition_t) :: real_partition_fixed_order_t
	real(default) :: scale
	type(ftuple_t), dimension(:), allocatable :: fks_pairs
	contains
	<<real subtraction: real partition fixed order: TBP>>
	end type real_partition_fixed_order_t

	@ %def real_partition_fixed_order_t
	@
	<<real subtraction: real partition fixed order: TBP>>=
	procedure :: init => real_partition_fixed_order_init
	<<real subtraction: procedures>>=
	subroutine real_partition_fixed_order_init (partition, scale, reg_data)
	class(real_partition_fixed_order_t), intent(out) :: partition
	real(default), intent(in) :: scale
	type(region_data_t), intent(in) :: reg_data
	end subroutine real_partition_fixed_order_init

	@ %def real_partition_fixed_order_init
	@
	<<real subtraction: real partition fixed order: TBP>>=
	procedure :: write => real_partition_fixed_order_write
	<<real subtraction: procedures>>=
	subroutine real_partition_fixed_order_write (partition, unit)
	class(real_partition_fixed_order_t), intent(in) :: partition
	integer, intent(in), optional :: unit
	end subroutine real_partition_fixed_order_write

	@ %def real_partition_fixed_order_write
	@
	<<real subtraction: real partition fixed order: TBP>>=
	procedure :: get_f => real_partition_fixed_order_get_f
	<<real subtraction: procedures>>=
	function real_partition_fixed_order_get_f (partition, p) result (f)
	real(default) :: f
	class(real_partition_fixed_order_t), intent(in) :: partition
	type(vector4_t), intent(in), dimension(:) :: p
	integer :: i
	f = zero
	do i = 1, size (partition%fks_pairs)
	associate (ii => partition%fks_pairs(i)%ireg)
	if ((p(ii(1)) + p(ii(2)))1 < p(ii(1))1 + p(ii(2))**1 + partition%scale) then
	f = one
	exit
	end if
	end associate
	end do
	end function real_partition_fixed_order_get_f

	@ %def real_partition_fixed_order_get_f
	@
	\subsection{Unit tests}
	Test module, followed by the corresponding implementation module.
	<<[[real_subtraction_ut.f90]]>>=
	<<File header>>

	module real_subtraction_ut
	use unit_tests
	use real_subtraction_uti

	<<Standard module head>>

	<<Real subtraction: public test>>

	contains

	<<Real subtraction: test driver>>

	end module real_subtraction_ut
	@ %def real_subtraction_ut
	@
	<<[[real_subtraction_uti.f90]]>>=
	<<File header>>

	module real_subtraction_uti
	<<Use kinds>>

	use physics_defs
	use lorentz
	use numeric_utils
	use real_subtraction

	<<Standard module head>>

	<<Real subtraction: test declarations>>

	contains

	<<Real subtraction: tests>>

	end module real_subtraction_uti
	@ %def real_subtraction_ut
	@ API: driver for the unit tests below.
	<<Real subtraction: public test>>=
	public :: real_subtraction_test
	<<Real subtraction: test driver>>=
	subroutine real_subtraction_test (u, results)
	integer, intent(in) :: u
	type(test_results_t), intent(inout) :: results
	<<Real subtraction: execute tests>>
	end subroutine real_subtraction_test

	@ %def real_subtraction_test
	@ Test the final-state collinear subtraction.
	<<Real subtraction: execute tests>>=
	call test (real_subtraction_1, "real_subtraction_1", &
	"final-state collinear subtraction", &
	u, results)
	<<Real subtraction: test declarations>>=
	public :: real_subtraction_1
	<<Real subtraction: tests>>=
	subroutine real_subtraction_1 (u)
	integer, intent(in) :: u

	type(coll_subtraction_t) :: coll_sub
	real(default) :: sqme_coll
	type(vector4_t) :: p_res
	type(vector4_t), dimension(5) :: p_born
	real(default), dimension(4) :: k_perp
	real(default), dimension(4,4) :: b_munu
	integer :: mu, nu
	real(default) :: born, born_c
	integer, dimension(6) :: flst

	p_born(1)%p = [500, 0, 0, 500]
	p_born(2)%p = [500, 0, 0, -500]
	p_born(3)%p = [3.7755E+02, 2.2716E+02, -95.4172, 2.8608E+02]
	p_born(4)%p = [4.9529E+02, -2.739E+02, 84.8535, -4.0385E+02]
	p_born(5)%p = [1.2715E+02, 46.7375, 10.5637, 1.1778E+02]
	p_res = p_born(1) + p_born(2)
	flst = [11, -11 , -2, 2, -2, 2]

	b_munu(1, :) = [0., 0., 0., 0.]
	b_munu(2, :) = [0., 1., 1., 1.]
	b_munu(3, :) = [0., 1., 1., 1.]
	b_munu(4, :) = [0., 1., 1., 1.]

	k_perp = real_subtraction_compute_k_perp_fsr (p = p_born(5), phi = 0.5_default)
	born = - b_munu(1, 1) + b_munu(2, 2) + b_munu(3, 3) + b_munu(4, 4)
	born_c = 0.
	do mu = 1, 4
	do nu = 1, 4
	born_c = born_c + k_perp(mu) * k_perp(nu) * b_munu(mu, nu)
	end do
	end do

	write (u, "(A)") "* Test output: real_subtraction_1"
	write (u, "(A)") "* Purpose: final-state collinear subtraction"
	write (u, "(A)")

	write (u, "(A, L1)") "* vanishing scalar-product of 3-momenta k_perp and p_born(emitter): ", &
	nearly_equal (dot_product (p_born(5)%p(1:3), k_perp(2:4)), 0._default)

	call coll_sub%init (n_alr = 1, n_in = 2)
	call coll_sub%set_parameters (CA, CF, TR)

	write (u, "(A)")
	write (u, "(A)") "* g -> qq splitting"
	write (u, "(A)")

	sqme_coll = coll_sub%compute_fsr(5, flst, p_res, p_born, &
	born, born_c, 0.5_default, 0.25_default, .false.)

	write (u, "(A,F15.12)") "ME: ", sqme_coll

	write (u, "(A)")
	write (u, "(A)") "* g -> gg splitting"
	write (u, "(A)")

	b_munu(1, :) = [0., 0., 0., 0.]
	b_munu(2, :) = [0., 0., 0., 1.]
	b_munu(3, :) = [0., 0., 1., 1.]
	b_munu(4, :) = [0., 0., 1., 1.]

	k_perp = real_subtraction_compute_k_perp_fsr (p = p_born(5), phi = 0.5_default)
	born = - b_munu(1, 1) + b_munu(2, 2) + b_munu(3, 3) + b_munu(4, 4)
	born_c = 0.
	do mu = 1, 4
	do nu = 1, 4
	born_c = born_c + k_perp(mu) * k_perp(nu) * b_munu(mu, nu)
	end do
	end do

	flst = [11, -11, 2, -2, 21, 21]
	sqme_coll = coll_sub%compute_fsr(5, flst, p_res, p_born, &
	born, born_c, 0.5_default, 0.25_default, .true.)

	write (u, "(A,F15.12)") "ME: ", sqme_coll

	write (u, "(A)")
	write (u, "(A)") "* Test output end: real_subtraction_1"
	write (u, "(A)")
	end subroutine real_subtraction_1

	@ %def real_subtraction_1
	@

	\clearpage
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\section{Combining the FKS Pieces}
	<<[[nlo_data.f90]]>>=
	<<File header>>

	module nlo_data

	<<Use kinds>>
	<<Use strings>>
	use diagnostics
	use constants, only: zero
	use string_utils, only: split_string, read_ival, string_contains_word
	use io_units
	use lorentz
	use variables, only: var_list_t
	use format_defs, only: FMT_15
	use physics_defs, only: THR_POS_WP, THR_POS_WM
	use physics_defs, only: THR_POS_B, THR_POS_BBAR
	use physics_defs, only: NO_FACTORIZATION, FACTORIZATION_THRESHOLD

	<<Standard module head>>

	<<nlo data: public>>

	<<nlo data: parameters>>

	<<nlo data: types>>
	<<nlo data: interfaces>>

	contains

	<<nlo data: procedures>>

	end module nlo_data

	@ %def nlo_data
	@
	<<nlo data: parameters>>=
	integer, parameter, public :: FKS_DEFAULT = 1
	integer, parameter, public :: FKS_RESONANCES = 2

	integer, dimension(2), parameter, public :: ASSOCIATED_LEG_PAIR = [1, 3]

	@ %def parameters
	@
	<<nlo data: public>>=
	public :: fks_template_t
	<<nlo data: types>>=
	type :: fks_template_t
	logical :: subtraction_disabled = .false.
	integer :: mapping_type = FKS_DEFAULT
	logical :: count_kinematics = .false.
	real(default) :: fks_dij_exp1
	real(default) :: fks_dij_exp2
	real(default) :: xi_min
	real(default) :: y_max
	real(default) :: xi_cut, delta_o, delta_i
	type(string_t), dimension(:), allocatable :: excluded_resonances
	integer :: n_f
	contains
	<<nlo data: fks template: TBP>>
	end type fks_template_t

	@ %def fks_template_t
	@
	<<nlo data: fks template: TBP>>=
	procedure :: write => fks_template_write
	<<nlo data: procedures>>=
	subroutine fks_template_write (template, unit)
	class(fks_template_t), intent(in) :: template
	integer, intent(in), optional :: unit
	integer :: u
	u = given_output_unit (unit)
	write (u,'(1x,A)') 'FKS Template: '
	write (u,'(1x,A)', advance = 'no') 'Mapping Type: '
	select case (template%mapping_type)
	case (FKS_DEFAULT)
	write (u,'(A)') 'Default'
	case (FKS_RESONANCES)
	write (u,'(A)') 'Resonances'
	case default
	write (u,'(A)') 'Unkown'
	end select
	write (u,'(1x,A,ES4.3,ES4.3)') 'd_ij exponentials: ', &
	template%fks_dij_exp1, template%fks_dij_exp2
	write (u, '(1x,A,ES4.3,ES4.3)') 'xi_cut: ', &
	template%xi_cut
	write (u, '(1x,A,ES4.3,ES4.3)') 'delta_o: ', &
	template%delta_o
	write (u, '(1x,A,ES4.3,ES4.3)') 'delta_i: ', &
	template%delta_i
	end subroutine fks_template_write

	@ %def fks_template_write
	@ Set FKS parameters. $\xi_{\text{cut}}, \delta_o$ and $\delta_{\mathrm{I}}$ steer the ratio of the integrated and real subtraction.
	<<nlo data: fks template: TBP>>=
	procedure :: set_parameters => fks_template_set_parameters
	<<nlo data: procedures>>=
	subroutine fks_template_set_parameters (template, exp1, exp2, xi_min, &
	y_max, xi_cut, delta_o, delta_i)
	class(fks_template_t), intent(inout) :: template
	real(default), intent(in) :: exp1, exp2
	real(default), intent(in) :: xi_min, y_max, &
	xi_cut, delta_o, delta_i
	template%fks_dij_exp1 = exp1
	template%fks_dij_exp2 = exp2
	template%xi_min = xi_min
	template%y_max = y_max
	template%xi_cut = xi_cut
	template%delta_o = delta_o
	template%delta_i = delta_i
	end subroutine fks_template_set_parameters

	@ %def fks_template_set_parameters
	<<nlo data: fks template: TBP>>=
	procedure :: set_mapping_type => fks_template_set_mapping_type
	<<nlo data: procedures>>=
	subroutine fks_template_set_mapping_type (template, val)
	class(fks_template_t), intent(inout) :: template
	integer, intent(in) :: val
	template%mapping_type = val
	end subroutine fks_template_set_mapping_type

	@ %def fks_template_set_mapping_type
	@
	<<nlo data: fks template: TBP>>=
	procedure :: set_counter => fks_template_set_counter
	<<nlo data: procedures>>=
	subroutine fks_template_set_counter (template)
	class(fks_template_t), intent(inout) :: template
	template%count_kinematics = .true.
	end subroutine fks_template_set_counter

	@ %def fks_template_set_counter
	@
	<<nlo data: public>>=
	public :: real_scales_t
	<<nlo data: types>>=
	type :: real_scales_t
	real(default) :: scale
	real(default) :: ren_scale
	real(default) :: fac_scale
	real(default) :: scale_born
	real(default) :: fac_scale_born
	real(default) :: ren_scale_born
	end type real_scales_t

	@ %def real_scales_t
	@
	<<nlo data: public>>=
	public :: get_threshold_momenta
	<<nlo data: procedures>>=
	function get_threshold_momenta (p) result (p_thr)
	type(vector4_t), dimension(4) :: p_thr
	type(vector4_t), intent(in), dimension(:) :: p
	p_thr(1) = p(THR_POS_WP) + p(THR_POS_B)
	p_thr(2) = p(THR_POS_B)
	p_thr(3) = p(THR_POS_WM) + p(THR_POS_BBAR)
	p_thr(4) = p(THR_POS_BBAR)
	end function get_threshold_momenta

	@ %def get_threshold_momenta
	@
	\subsection{Putting it together}
	<<nlo data: public>>=
	public :: nlo_settings_t
	<<nlo data: types>>=
	type :: nlo_settings_t
	logical :: use_internal_color_correlations = .true.
	logical :: use_internal_spin_correlations = .false.
	logical :: use_resonance_mappings = .false.
	logical :: combined_integration = .false.
	logical :: fixed_order_nlo = .false.
	logical :: test_soft_limit = .false.
	logical :: test_coll_limit = .false.
	logical :: test_anti_coll_limit = .false.
	integer, dimension(:), allocatable :: selected_alr
	integer :: factorization_mode = NO_FACTORIZATION
	!!! Probably not the right place for this. Revisit after refactoring
	real(default) :: powheg_damping_scale = zero
	type(fks_template_t) :: fks_template
	type(string_t) :: virtual_selection
	logical :: virtual_resonance_aware_collinear = .true.
	logical :: use_born_scale = .false.
	logical :: cut_all_real_sqmes = .false.
	type(string_t) :: nlo_correction_type
	contains
	<<nlo data: nlo settings: TBP>>
	end type nlo_settings_t

	@ %def nlo_settings_t
	@
	<<nlo data: nlo settings: TBP>>=
	procedure :: init => nlo_settings_init
	<<nlo data: procedures>>=
	subroutine nlo_settings_init (nlo_settings, var_list, fks_template)
	class(nlo_settings_t), intent(inout) :: nlo_settings
	type(var_list_t), intent(in) :: var_list
	type(fks_template_t), intent(in), optional :: fks_template
	type(string_t) :: color_method
	if (present (fks_template)) nlo_settings%fks_template = fks_template
	color_method = var_list%get_sval (var_str ('$correlation_me_method'))
	if (color_method == "") color_method = var_list%get_sval (var_str ('$method'))
	nlo_settings%use_internal_color_correlations = color_method == 'omega' &
	.or. color_method == 'threshold'
	nlo_settings%combined_integration = var_list%get_lval &
	(var_str ("?combined_nlo_integration"))
	nlo_settings%fixed_order_nlo = var_list%get_lval &
	(var_str ("?fixed_order_nlo_events"))
	nlo_settings%test_soft_limit = var_list%get_lval (var_str ('?test_soft_limit'))
	nlo_settings%test_coll_limit = var_list%get_lval (var_str ('?test_coll_limit'))
	nlo_settings%test_anti_coll_limit = var_list%get_lval (var_str ('?test_anti_coll_limit'))
	call setup_alr_selection ()
	nlo_settings%virtual_selection = var_list%get_sval (var_str ('$virtual_selection'))
	nlo_settings%virtual_resonance_aware_collinear = &
	var_list%get_lval (var_str ('?virtual_collinear_resonance_aware'))
	nlo_settings%powheg_damping_scale = &
	var_list%get_rval (var_str ('powheg_damping_scale'))
	nlo_settings%use_born_scale = &
	var_list%get_lval (var_str ("?nlo_use_born_scale"))
	nlo_settings%cut_all_real_sqmes = &
	var_list%get_lval (var_str ("?nlo_cut_all_real_sqmes"))
	nlo_settings%nlo_correction_type = var_list%get_sval (var_str ('$nlo_correction_type'))
	contains
	subroutine setup_alr_selection ()
	type(string_t) :: alr_selection
	type(string_t), dimension(:), allocatable :: alr_split
	integer :: i, i1, i2
	alr_selection = var_list%get_sval (var_str ('$select_alpha_regions'))
	if (string_contains_word (alr_selection, var_str (","))) then
	call split_string (alr_selection, var_str (","), alr_split)
	allocate (nlo_settings%selected_alr (size (alr_split)))
	do i = 1, size (alr_split)
	nlo_settings%selected_alr(i) = read_ival(alr_split(i))
	end do
	else if (string_contains_word (alr_selection, var_str (":"))) then
	call split_string (alr_selection, var_str (":"), alr_split)
	if (size (alr_split) == 2) then
	i1 = read_ival (alr_split(1))
	i2 = read_ival (alr_split(2))
	allocate (nlo_settings%selected_alr (i2 - i1 + 1))
	do i = 1, i2 - i1 + 1
	nlo_settings%selected_alr(i) = read_ival (alr_split(i))
	end do
	else
	call msg_fatal ("select_alpha_regions: ':' specifies a range!")
	end if
	else if (len(alr_selection) == 1) then
	allocate (nlo_settings%selected_alr (1))
	nlo_settings%selected_alr(1) = read_ival (alr_selection)
	end if
	if (allocated (alr_split)) deallocate (alr_split)
	end subroutine setup_alr_selection
	end subroutine nlo_settings_init

	@ %def nlo_settings_init
	@
	<<nlo data: nlo settings: TBP>>=
	procedure :: write => nlo_settings_write
	<<nlo data: procedures>>=
	subroutine nlo_settings_write (nlo_settings, unit)
	class(nlo_settings_t), intent(in) :: nlo_settings
	integer, intent(in), optional :: unit
	integer :: i, u
	u = given_output_unit (unit); if (u < 0) return
	write (u, '(A)') 'nlo_settings:'
	write (u, '(3X,A,L1)') 'internal_color_correlations = ', &
	nlo_settings%use_internal_color_correlations
	write (u, '(3X,A,L1)') 'internal_spin_correlations = ', &
	nlo_settings%use_internal_spin_correlations
	write (u, '(3X,A,L1)') 'use_resonance_mappings = ', &
	nlo_settings%use_resonance_mappings
	write (u, '(3X,A,L1)') 'combined_integration = ', &
	nlo_settings%combined_integration
	write (u, '(3X,A,L1)') 'test_soft_limit = ', &
	nlo_settings%test_soft_limit
	write (u, '(3X,A,L1)') 'test_coll_limit = ', &
	nlo_settings%test_coll_limit
	write (u, '(3X,A,L1)') 'test_anti_coll_limit = ', &
	nlo_settings%test_anti_coll_limit
	if (allocated (nlo_settings%selected_alr)) then
	write (u, '(3x,A)', advance = "no") 'selected alpha regions = ['
	do i = 1, size (nlo_settings%selected_alr)
	write (u, '(A,I0)', advance = "no") ",", nlo_settings%selected_alr(i)
	end do
	write (u, '(A)') "]"
	end if
	write (u, '(3X,A,' // FMT_15 // ')') 'powheg_damping_scale = ', &
	nlo_settings%powheg_damping_scale
	write (u, '(3X,A,A)') 'virtual_selection = ', &
	char (nlo_settings%virtual_selection)
	write (u, '(3X,A,A)') 'Real factorization mode = ', &
	char (factorization_mode (nlo_settings%factorization_mode))
	contains
	function factorization_mode (fm)
	type(string_t) :: factorization_mode
	integer, intent(in) :: fm
	select case (fm)
	case (NO_FACTORIZATION)
	factorization_mode = var_str ("None")
	case (FACTORIZATION_THRESHOLD)
	factorization_mode = var_str ("Threshold")
	case default
	factorization_mode = var_str ("Undefined!")
	end select
	end function factorization_mode
	end subroutine nlo_settings_write

	@ %def nlo_settings_write
	@
	\clearpage
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\section{Contribution of divergencies due to PDF Evolution}

	References:
	\begin{itemize}
	\item arXiv:hep-ph/9512328, (2.1)-(2.5), (4.29)-(4.53)
	\item arXiv:0709.2092, (2.102)-(2.106)
	\end{itemize}

	The parton distrubition densities have to be evaluated at NLO, too.
	The NLO PDF evolution is given by
	\begin{equation}
	\label{eqn:pdf_nlo}
	f (\bar{x}) = \int_0^1 \int_0^1 dx dz f(x) \Gamma(z) \delta (\bar{x} - x z),
	\end{equation}
	where $\Gamma$ are the DGLAP evolution kernels for an $a \to d$ splitting,
	\begin{equation}
	\label{eqn:dglap}
	\Gamma_a^{(d)} = \delta_{ad}\delta(1-x) - \frac{\alpha_s}{2\pi} \left(\frac{1}{\epsilon} P_{ad}(x,0) - K_{ad}(x)\right) + \mathcal{O}(\alpha_s^2).
	\end{equation}
	$K_{ad}$ is a renormalization scheme matching factor, which is exactly zero in $\overline{\text{MS}}$.
	Let the leading-order hadronic cross section be given by
	\begin{equation}
	\label{eqn:xsec_hadro_lo}
	d\sigma^{(0)}(s) = \int dx_\oplus dx_\ominus f_\oplus (x_\oplus) f_\ominus (x_\ominus) d\tilde{\sigma}^{(0)} (x_\oplus x_\ominus s),
	\end{equation}
	then the NLO hadronic cross section is
	\begin{equation}
	\label{eqn:xsec_hadro_nlo}
	d\sigma^{(1)}(s) = \int dx_\oplus dx_\ominus dz_\oplus dz_\ominus f_\oplus (x_\oplus) f_\ominus (x_\ominus)
	\underbrace{\Gamma_\oplus (z_\oplus) \Gamma_\ominus (z_\ominus) d\tilde{\sigma}^{(1)} (z_\oplus z_\ominus s)}_{d\hat{\sigma}^{(1)}}.
	\end{equation}
	$d\hat{\sigma}$ is called the subtracted partonic cross section. Expanding in $\alpha_s$ we find
	\begin{align}
	d\hat{\sigma}^{(0)}_{ab}(k_1, k_2) &= d\tilde{\sigma}_{ab}^{(0)} (k_1, k_2), \\
	d\hat{\sigma}^{(1)}_{ab}(k_1, k_2) &= d\tilde{\sigma}_{ab}^{(1)} (k_1, k_2) \\
	&+ \frac{\alpha_s}{2\pi} \sum_d \int dx \left (\frac{1}{\epsilon} P_{da}(x,0) - K_{da}(x)\right) d\tilde{\sigma}_{db}^{(0)}(xk_1, k_2)\\
	&+ \frac{\alpha_s}{2\pi} \sum_d \int \left (\frac{1}{\epsilon} P_{db} (x, 0) - K_{db}(x)\right) d\tilde{\sigma}_{ad}^{(0)}(k_1, xk_2).\\
	&= d\tilde{\sigma}_{ab}^{(1)} + d\tilde{\sigma}_{ab}^{(cnt,+)} + d\tilde{\sigma}_{ab}^{(cnt,-)}
	\end{align}

	Let us now turn to the soft-subtracted real part of the cross section. For ease of notation, it is constrained to one singular region,
	\begin{align*}
	\label{eqn:R-in}
	d\sigma^{(in)}_\alpha &= \left[\left(\frac{1}{\xi}\right)_{c} - 2\epsilon\left(\frac{\log \xi}{\xi}\right)_{c}\right] (1-y^2)\xi^2 \mathcal{R}_\alpha \mathcal{S}_\alpha \\
	&\times \frac{1}{2(2\pi)^{3-2\epsilon}} \left(\frac{\sqrt{s}}{2}\right)^{2-2\epsilon} \left( 1 - y^2\right)^{-1-\epsilon} d\phi d\xi dy d\Omega^{2-2\epsilon},
	\end{align*}
	where we regularize collinear divergencies using the identity
	\begin{equation*}
	\left (1 - y^2 \right)^{-1-\epsilon} = -\frac{2^{-\epsilon}}{2\epsilon} \left (\delta(1-y) + \delta(1+y)\right)
	+ \underbrace{\frac{1}{2} \left[ \left (\frac {1}{1-y}\right)_{c} + \left (\frac{1}{1+y}\right)_{c} \right]}_{\mathcal{P}(y)}.
	\end{equation*}
	This enables us to split the cross section into a finite and a singular part. The latter can further be separated into a contribution of the incoming and of the outgoing particles,
	\begin{equation*}
	d\sigma^{(in)}_\alpha = d\sigma^{(in,+)}_\alpha + d\sigma^{(in,-)}_\alpha + d\sigma^{(in,f)}_\alpha.
	\end{equation*}
	They are given by
	\begin{align}
	d\sigma^{(in,f)}_\alpha = & \mathcal{P}(y) \left[\left(\frac{1}{\xi}\right)_{c} - 2\epsilon \left(\frac{\log\xi}{\xi}\right)_{c}\right] \frac{1}{2(2\pi)^{3-2\epsilon}}
	\left(\frac{\sqrt{s}}{2}\right)^{2-2\epsilon} \nonumber\\
	& \times (1-y^2)\xi^2 \mathcal{R}_\alpha \mathcal{S}_\alpha d\phi d\xi dy d\Omega^{2-2\epsilon}
	\label{eqn:sigma-f}
	\end{align}
	and
	\begin{align}
	d\sigma^{(in,\pm)}_\alpha &= -\frac{2^{-\epsilon}}{2\epsilon} \delta (1 \mp y) \left[ \left( \frac{1}{\xi}\right)_{c} - 2\epsilon \left(\frac{\log\xi}{\xi}\right)_{c}\right] \nonumber\\
	& \times \frac{1}{2(2\pi)^{3-2\epsilon}} \left( \frac{\sqrt{s}}{2}\right)^{2-2\epsilon} (1-y^2)\xi^2 \mathcal{R}_\alpha \mathcal{S}_\alpha d\phi d\xi dy d\Omega^{2-2\epsilon}.
	\label{eqn:sigma-pm}
	\end{align}
	Equation \ref{eqn:sigma-f} is the contribution to the real cross section which is computed in [[evaluate_region_isr]]. It is regularized both in the soft and collinear limit via the plus distributions.
	Equation \ref{eqn:sigma-pm} is a different contribution. It is only present exactly in the collinear limit, due to the delta function. The divergences present in this term do not completely cancel out
	divergences in the virtual matrix element, because the beam axis is distinguished. Thus, the conditions in which the KLN theorem applies are not met. To see this, we carry out the collinear limit, obtaining
	\begin{equation*}
	\lim_{y \to 1} (1-y^2)\xi^2\mathcal{R}_\alpha = 8\pi\alpha_s \mu^{2\epsilon} \left(\frac{2}{\sqrt{s}}\right)^2 \xi P^<(1-\xi, \epsilon) \mathcal{R}_\alpha,
	\end{equation*}
	with the Altarelli-Parisi splitting kernel for $z < 1$, $P^<(z,\epsilon)$. Moreover, $\lim_{\vec{k} \parallel \vec{k}_1} d\phi = d\phi_3$ violates spatial averaging. The integration over the spherical angle $d\Omega$ can be carried out easily, yielding a factor of $2\pi^{1-\epsilon} / \Gamma(1-\epsilon)$.
	This allows us to redefine $\epsilon$,
	\begin{equation}
	\frac{1}{\epsilon} - \gamma_E + \log(4\pi) \to \frac{1}{\epsilon}.
	\end{equation}
	Coming back to $d\tilde{\sigma}_{ab}^{(cnt,+)}$ in order to make a connection to $d{\sigma}^{(in,+)}_\alpha$, we relate $P_{ab}(z,0)$ to $P^<_{ab}(z,0)$ via the equation
	\begin{equation*}
	P_{ab}(z,0) = (1-z)P_{ab}^<(z,0)\left(\frac{1}{1-z}\right)_+ + \gamma(a)\delta_{ab}\delta(1-z),
	\end{equation*}
	which yields
	\begin{equation} \label{eqn:sigma-cnt}
	d\tilde{\sigma}^{(cnt,+)}_{\alpha} = \frac{\alpha_s}{2\pi} \sum_d \left\lbrace -K_{da}(1-\xi) + \frac{1}{\epsilon} \left[\left(\frac{1}{\xi}\right)_+ \xi P_{da}^<(1-\xi,0)
	+ \delta_{da}\delta(\xi)\gamma(d)\right]\right\rbrace \mathcal{R}_\alpha \mathcal{S}_\alpha d\phi d\xi dy.
	\end{equation}
	This term has the same pole structure as eqn. \ref{eqn:sigma-pm}. This makes clear that the quantity
	\begin{equation}
	d\hat{\sigma}^{(in,+)} = d\tilde{\sigma}^{(in,+)} + d\tilde{\sigma}^{(cnt,+)}
	\end{equation}
	has no collinear poles. Therefore, our task is to add up eqns. \ref{eqn:sigma-pm} and \ref{eqn:sigma-cnt} in order to compute the finite remainder. This is the integrand which is evaluated in the [[dglap_remnant]] component.\\
	So, we have to perform an expansion of $d\hat{\sigma}^{(in,+)}$ in $\epsilon$. Hereby, we must not neglect the implicit $\epsilon$-dependence of $P^<$, which leads to additional terms involving the
	first derivative,
	\begin{equation*}
	P_{ab}^<(z,\epsilon) = P_{ab}^<(z,0) + \epsilon \frac{\partial P_{ab}^<(z,\epsilon)}{\partial \epsilon}\|_{\epsilon = 0} + \mathcal{O}(\alpha_s^2).
	\end{equation*}
	This finally gives us the equation for the collinear remnant. Note that there is still one soft $1/\epsilon$-pole, which cancels out with the corresponding expression in the soft-virtual terms.
	\begin{align} \label{eqn:sigma-in-p-final}
	d\hat{\sigma}^{(in,+)} &= \frac{\alpha_s}{2\pi} \frac{1}{\epsilon} \gamma(a) \mathcal{R}_\alpha \mathcal{S}_\alpha \nonumber\\
	&+ \frac{\alpha_s}{2\pi} \sum_d \left\lbrace (1-z) P_{da}^<(z,0)\left[\left(\frac{1}{1-z}\right)_{c} \log\frac{s\delta_{\mathrm{I}}}{2\mu^2} + 2 \left(\frac{\log(1-z)}{1-z}\right)_{c}\right] \right. \nonumber\\
	&\left . -(1-z)\frac{\partial P_{da}^<(z,\epsilon)}{\partial \epsilon} \left(\frac{1}{1-z}\right)_{c} - K_{da}(z)\right\rbrace \mathcal{R}_\alpha \mathcal{S}_\alpha d\phi d\xi dy
	\end{align}


	<<[[dglap_remnant.f90]]>>=
	<<File header>>

	module dglap_remnant

	<<Use kinds with double>>
	<<Use strings>>
	use numeric_utils
	use diagnostics
	use constants
	use physics_defs
	use pdg_arrays
	use phs_fks, only: isr_kinematics_t
	use fks_regions, only: region_data_t

	use nlo_data

	<<Standard module head>>

	<<dglap remnant: public>>

	<<dglap remnant: types>>

	contains

	<<dglap remnant: procedures>>

	end module dglap_remnant

	@ %def module dglap_remnant
	@
	<<dglap remnant: public>>=
	public :: dglap_remnant_t
	<<dglap remnant: types>>=
	type :: dglap_remnant_t
	type(nlo_settings_t), pointer :: settings => null ()
	type(region_data_t), pointer :: reg_data => null ()
	type(isr_kinematics_t), pointer :: isr_kinematics => null ()
	real(default), dimension(:), allocatable :: sqme_born
	real(default), dimension(:,:), allocatable :: sf_factors
	contains
	<<dglap remnant: dglap remnant: TBP>>
	end type dglap_remnant_t

	@ %def dglap_remnant_t
	@
	<<dglap remnant: dglap remnant: TBP>>=
	procedure :: init => dglap_remnant_init
	<<dglap remnant: procedures>>=
	subroutine dglap_remnant_init (dglap, settings, reg_data, isr_kinematics)
	class(dglap_remnant_t), intent(inout) :: dglap
	type(nlo_settings_t), intent(in), target :: settings
	type(region_data_t), intent(in), target :: reg_data
	integer :: n_flv_born
	type(isr_kinematics_t), intent(in), target :: isr_kinematics
	dglap%reg_data => reg_data
	n_flv_born = reg_data%get_n_flv_born ()
	allocate (dglap%sf_factors (reg_data%n_regions, 0:reg_data%n_in))
	dglap%sf_factors = zero
	dglap%settings => settings
	allocate (dglap%sqme_born(n_flv_born))
	dglap%sqme_born = zero
	dglap%isr_kinematics => isr_kinematics
	end subroutine dglap_remnant_init

	@ %def dglap_remnant_init
	@ Evaluates formula \ref{eqn:sigma-in-p-final}. Note that, as also in the case for the
	real subtraction, we have to take into account an additional term, occuring because the
	integral the plus distribution is evaluated over is not constrained on the interval $[0,1]$.
	Explicitly, this means (see JHEP 06(2010)043, (4.11)-(4.12))
	\begin{align}
	\int_{\bar{x}_\oplus}^1 dz \left( \frac{1}{1-z} \right)_{\xi_{\text{cut}}} & = \log \frac{1-\bar{x}_\oplus}{\xi_{\text{cut}}} f(1) + \int_{\bar{x}_\oplus}^1 \frac{f(z) - f(1)}{1-z}, \\
	\int_{\bar{x}_\oplus}^1 dz \left(\frac{\log(1-z)}{1-z}\right)_{\xi_{\text{cut}}} f(z) & = \frac{1}{2}\left( \log^2(1-\bar{x}_\oplus) - \log^2 (\xi_{\text{cut}}) \right)f(1) + \int_{\bar{x}_\oplus}^1 \frac{\log(1-z)[f(z) - f(1)]}{1-z},
	\end{align}
	and the same of course for $\bar{x}_\ominus$. These two terms are stored in the [[plus_dist_remnant]] variable below.
	<<dglap remnant: dglap remnant: TBP>>=
	procedure :: evaluate => dglap_remnant_evaluate
	<<dglap remnant: procedures>>=
	subroutine dglap_remnant_evaluate (dglap, alpha_s, separate_alrs, sqme_dglap)
	class(dglap_remnant_t), intent(inout) :: dglap
	real(default), intent(in) :: alpha_s
	logical, intent(in) :: separate_alrs
	real(default), intent(inout), dimension(:) :: sqme_dglap
	integer :: alr, emitter
	real(default) :: sqme_alr
	logical, dimension(:,:,:), allocatable :: evaluated
	real(default) :: sb, fac_scale2
	sb = dglap%isr_kinematics%sqrts_born**2
	fac_scale2 = dglap%isr_kinematics%fac_scale**2
	allocate (evaluated(dglap%reg_data%get_n_flv_born (), dglap%reg_data%get_n_flv_real (), &
	dglap%reg_data%n_in))
	evaluated = .false.
	do alr = 1, dglap%reg_data%n_regions
	sqme_alr = zero
	emitter = dglap%reg_data%regions(alr)%emitter
	if (emitter > dglap%reg_data%n_in) cycle
	associate (i_flv_born => dglap%reg_data%regions(alr)%uborn_index, &
	i_flv_real => dglap%reg_data%regions(alr)%real_index)
	if (emitter == 0) then
	do emitter = 1, 2
	if (evaluated(i_flv_born, i_flv_real, emitter)) cycle
	call evaluate_alr (alr, emitter, i_flv_born, i_flv_real, sqme_alr, evaluated)
	end do
	else if (emitter > 0) then
	if (evaluated(i_flv_born, i_flv_real, emitter)) cycle
	call evaluate_alr (alr, emitter, i_flv_born, i_flv_real, sqme_alr, evaluated)
	end if
	end associate
	if (separate_alrs) then
	sqme_dglap(alr) = sqme_dglap(alr) + alpha_s / twopi * sqme_alr
	else
	sqme_dglap(1) = sqme_dglap(1) + alpha_s / twopi * sqme_alr
	end if
	end do

	contains
	<<dglap remnant: dglap remnant evaluate: procedures>>
	end subroutine dglap_remnant_evaluate

	@ %def dglap_remnant_evaluate
	@ We introduce $\hat{P}(z, \epsilon) = (1 - z) P(z, \epsilon)$ and have
	\begin{align}
	\hat{P}_{g\to gg}(z) & = 2C_A \left[z + \frac{(1-z)^2}{z} + z(1-z)^2\right], \\
	\hat{P}_{g\to qq}(z) & = C_F (1-z) \frac{1 + (1-z)^2}{z}, \\
	\hat{P}_{q\to gq}(z) & = T_F (1 - z - 2z(1-z)^2), \\
	\hat{P}_{q\to qg}(z) & = C_F (1 + z^2).
	\end{align}
	<<dglap remnant: dglap remnant evaluate: procedures>>=
	function p_hat_gtogg (z)
	real(default) :: p_hat_gtogg
	<<p variables>>
	p_hat_gtogg = two * CA * (z + onemz*2 / z + z onemz**2)
	end function p_hat_gtogg

	function p_hat_gtoqq (z)
	real(default) :: p_hat_gtoqq
	<<p variables>>
	p_hat_gtoqq = CF * onemz / z * (one + onemz**2)
	end function p_hat_gtoqq

	function p_hat_qtogq (z)
	real(default) :: p_hat_qtogq
	<<p variables>>
	p_hat_qtogq = TR * (onemz - two * z * onemz**2)
	end function p_hat_qtogq

	function p_hat_qtoqg (z)
	real(default) :: p_hat_qtoqg
	real(default), intent(in) :: z
	p_hat_qtoqg = CF * (one + z**2)
	end function p_hat_qtoqg

	@ %def p_hat_qtoqg, p_hat_qtogq, p_hat_gtoqq, p_hat_gtogg
	@
	\begin{align}
	\frac{\partial P_{g\to gg}(z,\epsilon)}{\partial \epsilon}\|_{\epsilon = 0} & = 0, \\
	\frac{\partial P_{g\to qq}(z,\epsilon)}{\partial \epsilon}\|_{\epsilon = 0} & = -C_F z, \\
	\frac{\partial P_{q\to gq}(z,\epsilon)}{\partial \epsilon}\|_{\epsilon = 0} & = -
	2 T_F z (1-z), \\
	\frac{\partial P_{q\to qg}(z,\epsilon)}{\partial \epsilon}\|_{\epsilon = 0} & = -C_F (1-z).\\
	\end{align}
	<<dglap remnant: dglap remnant evaluate: procedures>>=
	function p_derived_gtogg (z)
	real(default) :: p_derived_gtogg
	real(default), intent(in) :: z
	p_derived_gtogg = zero
	end function p_derived_gtogg

	function p_derived_gtoqq (z)
	real(default) :: p_derived_gtoqq
	real(default), intent(in) :: z
	p_derived_gtoqq = -CF * z
	end function p_derived_gtoqq

	function p_derived_qtogq (z)
	real(default) :: p_derived_qtogq
	<<p variables>>
	p_derived_qtogq = -two * TR * z * onemz
	end function p_derived_qtogq

	function p_derived_qtoqg (z)
	real(default) :: p_derived_qtoqg
	<<p variables>>
	p_derived_qtoqg = -CF * onemz
	end function p_derived_qtoqg

	@ %def p_derived_gtogg, p_derived_gtoqq, p_derived_qtogq, p_derived_qtoqg
	@
	<<dglap remnant: dglap remnant evaluate: procedures>>=
	subroutine evaluate_alr (alr, emitter, i_flv_born, i_flv_real, sqme_alr, evaluated)
	integer, intent(in) :: alr, emitter, i_flv_born, i_flv_real
	real(default), intent(inout) :: sqme_alr
	logical, intent(inout), dimension(:,:,:) :: evaluated
	real(default) :: z, jac
	real(default) :: factor, factor_soft, plus_dist_remnant
	real(default) :: xb, onemz
	real(default) :: sqme_scaled
	integer :: flv_em, flv_rad
	associate (template => dglap%settings%fks_template)
	z = dglap%isr_kinematics%z(emitter)
	flv_rad = dglap%reg_data%regions(alr)%flst_real%flst(dglap%reg_data%n_legs_real)
	flv_em = dglap%reg_data%regions(alr)%flst_real%flst(emitter)
	jac = dglap%isr_kinematics%jacobian(emitter)
	onemz = one - z
	factor = log (sb * template%delta_i / two / z / fac_scale2) / &
	onemz + two * log (onemz) / onemz
	factor_soft = log (sb * template%delta_i / two / fac_scale2) / &
	onemz + two * log (onemz) / onemz
	xb = dglap%isr_kinematics%x(emitter)
	plus_dist_remnant = log ((one - xb) / template%xi_cut) * log (sb * template%delta_i / &
	two / fac_scale2) + (log (one - xb)2 - log (template%xi_cut)2)
	end associate
	sqme_scaled = dglap%sqme_born(i_flv_born) * dglap%sf_factors(alr, emitter)
	if (is_massless_vector (flv_em) .and. is_massless_vector (flv_rad)) then
	sqme_alr = sqme_alr + p_hat_gtogg(z) * factor / z * sqme_scaled * jac &
	- p_hat_gtogg(one) * factor_soft * dglap%sqme_born(i_flv_born) * jac &
	+ p_hat_gtogg(one) * plus_dist_remnant * dglap%sqme_born(i_flv_born)
	else if (is_fermion (flv_em) .and. is_massless_vector (flv_rad)) then
	sqme_alr = sqme_alr + p_hat_qtoqg(z) * factor / z * sqme_scaled * jac &
	- p_derived_qtoqg(z) / z * sqme_scaled * jac &
	- p_hat_qtoqg(one) * factor_soft * dglap%sqme_born(i_flv_born) * jac &
	+ p_hat_qtoqg(one) * plus_dist_remnant * dglap%sqme_born(i_flv_born)
	else if (is_fermion (flv_em) .and. is_fermion (flv_rad)) then
	sqme_alr = sqme_alr + (p_hat_gtoqq(z) * factor - p_derived_gtoqq(z)) / z * jac * &
	sqme_scaled
	else if (is_massless_vector (flv_em) .and. is_fermion (flv_rad)) then
	sqme_alr = sqme_alr + (p_hat_qtogq(z) * factor - p_derived_qtogq(z)) / z * sqme_scaled * jac
	else
	sqme_alr = sqme_alr + zero
	end if
	evaluated(i_flv_born, i_flv_real, emitter) = .true.
	end subroutine evaluate_alr
	@ %dglap_remnant_evaluate_alr
	@
	<<p variables>>=
	real(default), intent(in) :: z
	real(default) :: onemz
	onemz = one - z

	@ %def variables
	@
	<<dglap remnant: dglap remnant: TBP>>=
	procedure :: final => dglap_remnant_final
	<<dglap remnant: procedures>>=
	subroutine dglap_remnant_final (dglap)
	class(dglap_remnant_t), intent(inout) :: dglap
	if (associated (dglap%isr_kinematics)) nullify (dglap%isr_kinematics)
	if (associated (dglap%reg_data)) nullify (dglap%reg_data)
	if (associated (dglap%settings)) nullify (dglap%settings)
	if (allocated (dglap%sqme_born)) deallocate (dglap%sqme_born)
	if (allocated (dglap%sf_factors)) deallocate (dglap%sf_factors)
	end subroutine dglap_remnant_final

	@ %def dglap_remnant_final
	@
	\section{Dispatch}
	@
	<<[[dispatch_fks.f90]]>>=
	<<File header>>

	module dispatch_fks

	<<Use kinds>>
	<<Use strings>>
	use string_utils, only: split_string
	use variables, only: var_list_t
	use nlo_data, only: fks_template_t, FKS_DEFAULT, FKS_RESONANCES

	<<Standard module head>>

	<<Dispatch fks: public>>

	contains

	<<Dispatch fks: procedures>>

	end module dispatch_fks
	@ %def dispatch_fks
	@ Initialize parameters used to optimize FKS calculations.
	<<Dispatch fks: public>>=
	public :: dispatch_fks_s
	<<Dispatch fks: procedures>>=
	subroutine dispatch_fks_s (fks_template, var_list)
	type(fks_template_t), intent(inout) :: fks_template
	type(var_list_t), intent(in) :: var_list
	real(default) :: fks_dij_exp1, fks_dij_exp2
	type(string_t) :: fks_mapping_type
	logical :: subtraction_disabled
	type(string_t) :: exclude_from_resonance
	fks_dij_exp1 = &
	var_list%get_rval (var_str ("fks_dij_exp1"))
	fks_dij_exp2 = &
	var_list%get_rval (var_str ("fks_dij_exp2"))
	fks_mapping_type = &
	var_list%get_sval (var_str ("$fks_mapping_type"))
	subtraction_disabled = &
	var_list%get_lval (var_str ("?disable_subtraction"))
	exclude_from_resonance = &
	var_list%get_sval (var_str ("$resonances_exclude_particles"))
	if (exclude_from_resonance /= var_str ("default")) &
	call split_string (exclude_from_resonance, var_str (":"), &
	fks_template%excluded_resonances)
	call fks_template%set_parameters ( &
	exp1 = fks_dij_exp1, exp2 = fks_dij_exp2, &
	xi_min = var_list%get_rval (var_str ("fks_xi_min")), &
	y_max = var_list%get_rval (var_str ("fks_y_max")), &
	xi_cut = var_list%get_rval (var_str ("fks_xi_cut")), &
	delta_o = var_list%get_rval (var_str ("fks_delta_o")), &
	delta_i = var_list%get_rval (var_str ("fks_delta_i")))
	select case (char (fks_mapping_type))
	case ("default")
	call fks_template%set_mapping_type (FKS_DEFAULT)
	case ("resonances")
	call fks_template%set_mapping_type (FKS_RESONANCES)
	end select
	fks_template%subtraction_disabled = subtraction_disabled
	fks_template%n_f = var_list%get_ival (var_str ("alphas_nf"))
	end subroutine dispatch_fks_s

	@ %def dispatch_fks_s
	@
	Index: trunk/share/tests/Makefile.am
	===================================================================
	--- trunk/share/tests/Makefile.am (revision 8423)
	+++ trunk/share/tests/Makefile.am (revision 8424)
	@@ -1,1516 +1,1517 @@
	## Makefile.am -- Makefile for WHIZARD tests
	##
	## Process this file with automake to produce Makefile.in
	##
	########################################################################
	#
	# Copyright (C) 1999-2020 by
	# Wolfgang Kilian <kilian@physik.uni-siegen.de>
	# Thorsten Ohl <ohl@physik.uni-wuerzburg.de>
	# Juergen Reuter <juergen.reuter@desy.de>
	# with contributions from
	# cf. main AUTHORS file
	#
	# WHIZARD is free software; you can redistribute it and/or modify it
	# under the terms of the GNU General Public License as published by
	# the Free Software Foundation; either version 2, or (at your option)
	# any later version.
	#
	# WHIZARD is distributed in the hope that it will be useful, but
	# WITHOUT ANY WARRANTY; without even the implied warranty of
	# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
	# GNU General Public License for more details.
	#
	# You should have received a copy of the GNU General Public License
	# along with this program; if not, write to the Free Software
	# Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
	#
	########################################################################

	EXTRA_DIST = \
	$(TESTSUITE_MACROS) $(TESTSUITES_M4) $(TESTSUITES_SIN) \
	$(TESTSUITE_TOOLS) \
	$(REF_OUTPUT_FILES) \
	cascades2_1.fds \
	cascades2_2.fds \
	cascades2_lexer_1.fds \
	ext_tests_nmssm/nmssm.slha \
	functional_tests/structure_2_inc.sin functional_tests/testproc_3.phs \
	functional_tests/susyhit.in \
	functional_tests/ufo_5_test.slha

	TESTSUITE_MACROS = testsuite.m4
	TESTSUITE_TOOLS = \
	check-debug-output-hadro.py \
	check-debug-output.py \
	check-hepmc-weights.py \
	compare-histograms.py \
	compare-integrals-multi.py \
	compare-integrals.py \
	compare-methods.py

	REF_OUTPUT_FILES = \
	extra_integration_results.dat \
	$(REF_OUTPUT_FILES_BASE) $(REF_OUTPUT_FILES_DOUBLE) \
	$(REF_OUTPUT_FILES_PREC) $(REF_OUTPUT_FILES_EXT) \
	$(REF_OUTPUT_FILES_QUAD)

	REF_OUTPUT_FILES_BASE = \
	unit_tests/ref-output/analysis_1.ref \
	unit_tests/ref-output/auto_components_1.ref \
	unit_tests/ref-output/auto_components_2.ref \
	unit_tests/ref-output/auto_components_3.ref \
	unit_tests/ref-output/beam_1.ref \
	unit_tests/ref-output/beam_2.ref \
	unit_tests/ref-output/beam_3.ref \
	unit_tests/ref-output/beam_structures_1.ref \
	unit_tests/ref-output/beam_structures_2.ref \
	unit_tests/ref-output/beam_structures_3.ref \
	unit_tests/ref-output/beam_structures_4.ref \
	unit_tests/ref-output/beam_structures_5.ref \
	unit_tests/ref-output/beam_structures_6.ref \
	unit_tests/ref-output/blha_1.ref \
	unit_tests/ref-output/blha_2.ref \
	unit_tests/ref-output/blha_3.ref \
	unit_tests/ref-output/bloch_vectors_1.ref \
	unit_tests/ref-output/bloch_vectors_2.ref \
	unit_tests/ref-output/bloch_vectors_3.ref \
	unit_tests/ref-output/bloch_vectors_4.ref \
	unit_tests/ref-output/bloch_vectors_5.ref \
	unit_tests/ref-output/bloch_vectors_6.ref \
	unit_tests/ref-output/bloch_vectors_7.ref \
	unit_tests/ref-output/cascades2_1.ref \
	unit_tests/ref-output/cascades2_2.ref \
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	unit_tests/ref-output/sf_isr_2.ref \
	unit_tests/ref-output/sf_isr_3.ref \
	unit_tests/ref-output/sf_isr_4.ref \
	unit_tests/ref-output/sf_isr_5.ref \
	unit_tests/ref-output/sf_lhapdf5_1.ref \
	unit_tests/ref-output/sf_lhapdf5_2.ref \
	unit_tests/ref-output/sf_lhapdf5_3.ref \
	unit_tests/ref-output/sf_lhapdf6_1.ref \
	unit_tests/ref-output/sf_lhapdf6_2.ref \
	unit_tests/ref-output/sf_lhapdf6_3.ref \
	unit_tests/ref-output/sf_mappings_1.ref \
	unit_tests/ref-output/sf_mappings_2.ref \
	unit_tests/ref-output/sf_mappings_3.ref \
	unit_tests/ref-output/sf_mappings_4.ref \
	unit_tests/ref-output/sf_mappings_5.ref \
	unit_tests/ref-output/sf_mappings_6.ref \
	unit_tests/ref-output/sf_mappings_7.ref \
	unit_tests/ref-output/sf_mappings_8.ref \
	unit_tests/ref-output/sf_mappings_9.ref \
	unit_tests/ref-output/sf_mappings_10.ref \
	unit_tests/ref-output/sf_mappings_11.ref \
	unit_tests/ref-output/sf_mappings_12.ref \
	unit_tests/ref-output/sf_mappings_13.ref \
	unit_tests/ref-output/sf_mappings_14.ref \
	unit_tests/ref-output/sf_mappings_15.ref \
	unit_tests/ref-output/sf_mappings_16.ref \
	unit_tests/ref-output/sf_pdf_builtin_1.ref \
	unit_tests/ref-output/sf_pdf_builtin_2.ref \
	unit_tests/ref-output/sf_pdf_builtin_3.ref \
	unit_tests/ref-output/shower_1.ref \
	unit_tests/ref-output/shower_2.ref \
	unit_tests/ref-output/shower_base_1.ref \
	unit_tests/ref-output/simulations_1.ref \
	unit_tests/ref-output/simulations_2.ref \
	unit_tests/ref-output/simulations_3.ref \
	unit_tests/ref-output/simulations_4.ref \
	unit_tests/ref-output/simulations_5.ref \
	unit_tests/ref-output/simulations_6.ref \
	unit_tests/ref-output/simulations_7.ref \
	unit_tests/ref-output/simulations_8.ref \
	unit_tests/ref-output/simulations_9.ref \
	unit_tests/ref-output/simulations_10.ref \
	unit_tests/ref-output/simulations_11.ref \
	unit_tests/ref-output/simulations_12.ref \
	unit_tests/ref-output/simulations_13.ref \
	unit_tests/ref-output/simulations_14.ref \
	unit_tests/ref-output/simulations_15.ref \
	unit_tests/ref-output/slha_1.ref \
	unit_tests/ref-output/slha_2.ref \
	unit_tests/ref-output/sm_physics_1.ref \
	unit_tests/ref-output/sm_physics_2.ref \
	unit_tests/ref-output/sm_qcd_1.ref \
	unit_tests/ref-output/solver_1.ref \
	unit_tests/ref-output/sorting_1.ref \
	unit_tests/ref-output/state_matrix_1.ref \
	unit_tests/ref-output/state_matrix_2.ref \
	unit_tests/ref-output/state_matrix_3.ref \
	unit_tests/ref-output/state_matrix_4.ref \
	unit_tests/ref-output/state_matrix_5.ref \
	unit_tests/ref-output/state_matrix_6.ref \
	unit_tests/ref-output/state_matrix_7.ref \
	unit_tests/ref-output/su_algebra_1.ref \
	unit_tests/ref-output/su_algebra_2.ref \
	unit_tests/ref-output/su_algebra_3.ref \
	unit_tests/ref-output/su_algebra_4.ref \
	unit_tests/ref-output/subevt_expr_1.ref \
	unit_tests/ref-output/subevt_expr_2.ref \
	unit_tests/ref-output/ttv_formfactors_1.ref \
	unit_tests/ref-output/ttv_formfactors_2.ref \
	unit_tests/ref-output/vamp2_1.ref \
	unit_tests/ref-output/vamp2_2.ref \
	unit_tests/ref-output/vamp2_3.ref \
	unit_tests/ref-output/vamp2_4.ref \
	unit_tests/ref-output/vamp2_5.ref \
	unit_tests/ref-output/vegas_1.ref \
	unit_tests/ref-output/vegas_2.ref \
	unit_tests/ref-output/vegas_3.ref \
	unit_tests/ref-output/vegas_4.ref \
	unit_tests/ref-output/vegas_5.ref \
	unit_tests/ref-output/vegas_6.ref \
	unit_tests/ref-output/whizard_lha_1.ref \
	unit_tests/ref-output/xml_1.ref \
	unit_tests/ref-output/xml_2.ref \
	unit_tests/ref-output/xml_3.ref \
	unit_tests/ref-output/xml_4.ref \
	functional_tests/ref-output/alphas.ref \
	functional_tests/ref-output/analyze_1.ref \
	functional_tests/ref-output/analyze_2.ref \
	functional_tests/ref-output/analyze_3.ref \
	functional_tests/ref-output/analyze_4.ref \
	functional_tests/ref-output/analyze_5.ref \
	functional_tests/ref-output/analyze_6.ref \
	functional_tests/ref-output/beam_events_1.ref \
	functional_tests/ref-output/beam_events_4.ref \
	functional_tests/ref-output/beam_setup_1.ref \
	functional_tests/ref-output/beam_setup_2.ref \
	functional_tests/ref-output/beam_setup_3.ref \
	functional_tests/ref-output/beam_setup_4.ref \
	functional_tests/ref-output/bjet_cluster.ref \
	functional_tests/ref-output/br_redef_1.ref \
	functional_tests/ref-output/cascades2_phs_1.ref \
	functional_tests/ref-output/cascades2_phs_2.ref \
	functional_tests/ref-output/circe1_1.ref \
	functional_tests/ref-output/circe1_2.ref \
	functional_tests/ref-output/circe1_3.ref \
	functional_tests/ref-output/circe1_6.ref \
	functional_tests/ref-output/circe1_10.ref \
	functional_tests/ref-output/circe1_errors_1.ref \
	functional_tests/ref-output/circe2_1.ref \
	functional_tests/ref-output/circe2_2.ref \
	functional_tests/ref-output/circe2_3.ref \
	functional_tests/ref-output/cmdline_1.ref \
	functional_tests/ref-output/colors.ref \
	functional_tests/ref-output/colors_hgg.ref \
	functional_tests/ref-output/cuts.ref \
	functional_tests/ref-output/decay_err_1.ref \
	functional_tests/ref-output/decay_err_2.ref \
	functional_tests/ref-output/decay_err_3.ref \
	functional_tests/ref-output/energy_scan_1.ref \
	functional_tests/ref-output/ep_3.ref \
	functional_tests/ref-output/epa_1.ref \
	functional_tests/ref-output/epa_2.ref \
	functional_tests/ref-output/epa_3.ref \
	functional_tests/ref-output/epa_4.ref \
	functional_tests/ref-output/event_dump_1.ref \
	functional_tests/ref-output/event_dump_2.ref \
	functional_tests/ref-output/event_eff_1.ref \
	functional_tests/ref-output/event_eff_2.ref \
	functional_tests/ref-output/event_failed_1.ref \
	functional_tests/ref-output/event_weights_1.ref \
	functional_tests/ref-output/event_weights_2.ref \
	functional_tests/ref-output/ewa_4.ref \
	functional_tests/ref-output/extpar.ref \
	functional_tests/ref-output/fatal.ref \
	functional_tests/ref-output/fatal_beam_decay.ref \
	functional_tests/ref-output/fks_res_2.ref \
	functional_tests/ref-output/flvsum_1.ref \
	functional_tests/ref-output/gaussian_1.ref \
	functional_tests/ref-output/gaussian_2.ref \
	functional_tests/ref-output/hadronize_1.ref \
	functional_tests/ref-output/hepmc_1.ref \
	functional_tests/ref-output/hepmc_2.ref \
	functional_tests/ref-output/hepmc_3.ref \
	functional_tests/ref-output/hepmc_4.ref \
	functional_tests/ref-output/hepmc_5.ref \
	functional_tests/ref-output/hepmc_6.ref \
	functional_tests/ref-output/hepmc_7.ref \
	functional_tests/ref-output/hepmc_9.ref \
	functional_tests/ref-output/hepmc_10.ref \
	functional_tests/ref-output/isr_1.ref \
	functional_tests/ref-output/isr_epa_1.ref \
	functional_tests/ref-output/jets_xsec.ref \
	functional_tests/ref-output/job_id_1.ref \
	functional_tests/ref-output/job_id_2.ref \
	functional_tests/ref-output/job_id_3.ref \
	functional_tests/ref-output/job_id_4.ref \
	functional_tests/ref-output/lcio_1.ref \
	functional_tests/ref-output/lcio_3.ref \
	functional_tests/ref-output/lcio_4.ref \
	functional_tests/ref-output/lcio_5.ref \
	functional_tests/ref-output/lcio_6.ref \
	functional_tests/ref-output/lcio_8.ref \
	functional_tests/ref-output/lcio_9.ref \
	functional_tests/ref-output/lcio_10.ref \
	functional_tests/ref-output/lcio_11.ref \
	functional_tests/ref-output/lhef_1.ref \
	functional_tests/ref-output/lhef_2.ref \
	functional_tests/ref-output/lhef_3.ref \
	functional_tests/ref-output/lhef_4.ref \
	functional_tests/ref-output/lhef_5.ref \
	functional_tests/ref-output/lhef_6.ref \
	functional_tests/ref-output/lhef_9.ref \
	functional_tests/ref-output/lhef_10.ref \
	functional_tests/ref-output/lhef_11.ref \
	functional_tests/ref-output/libraries_1.ref \
	functional_tests/ref-output/libraries_2.ref \
	functional_tests/ref-output/libraries_4.ref \
	functional_tests/ref-output/method_ovm_1.ref \
	functional_tests/ref-output/mlm_matching_fsr.ref \
	functional_tests/ref-output/mlm_pythia6_isr.ref \
	functional_tests/ref-output/model_change_1.ref \
	functional_tests/ref-output/model_change_2.ref \
	functional_tests/ref-output/model_change_3.ref \
	functional_tests/ref-output/model_scheme_1.ref \
	functional_tests/ref-output/model_test.ref \
	functional_tests/ref-output/mssmtest_1.ref \
	functional_tests/ref-output/mssmtest_2.ref \
	functional_tests/ref-output/mssmtest_3.ref \
	functional_tests/ref-output/multi_comp_4.ref \
	functional_tests/ref-output/nlo_1.ref \
	functional_tests/ref-output/nlo_2.ref \
	functional_tests/ref-output/nlo_6.ref \
	functional_tests/ref-output/nlo_9.ref \
	functional_tests/ref-output/nlo_decay_1.ref \
	functional_tests/ref-output/observables_1.ref \
	functional_tests/ref-output/openloops_1.ref \
	functional_tests/ref-output/openloops_2.ref \
	functional_tests/ref-output/openloops_4.ref \
	functional_tests/ref-output/openloops_5.ref \
	functional_tests/ref-output/openloops_6.ref \
	functional_tests/ref-output/openloops_7.ref \
	functional_tests/ref-output/openloops_8.ref \
	functional_tests/ref-output/openloops_9.ref \
	functional_tests/ref-output/openloops_10.ref \
	functional_tests/ref-output/openloops_11.ref \
	functional_tests/ref-output/openloops_12.ref \
	functional_tests/ref-output/openloops_13.ref \
	functional_tests/ref-output/pack_1.ref \
	functional_tests/ref-output/parton_shower_1.ref \
	functional_tests/ref-output/photon_isolation_1.ref \
	functional_tests/ref-output/photon_isolation_2.ref \
	functional_tests/ref-output/polarized_1.ref \
	functional_tests/ref-output/process_log.ref \
	functional_tests/ref-output/pythia6_1.ref \
	functional_tests/ref-output/pythia6_2.ref \
	functional_tests/ref-output/qcdtest_4.ref \
	functional_tests/ref-output/qcdtest_5.ref \
	functional_tests/ref-output/qcdtest_6.ref \
	functional_tests/ref-output/qedtest_1.ref \
	functional_tests/ref-output/qedtest_2.ref \
	functional_tests/ref-output/qedtest_5.ref \
	functional_tests/ref-output/qedtest_6.ref \
	functional_tests/ref-output/qedtest_7.ref \
	functional_tests/ref-output/qedtest_8.ref \
	functional_tests/ref-output/qedtest_9.ref \
	functional_tests/ref-output/qedtest_10.ref \
	functional_tests/ref-output/rambo_vamp_1.ref \
	functional_tests/ref-output/rambo_vamp_2.ref \
	functional_tests/ref-output/real_partition_1.ref \
	functional_tests/ref-output/rebuild_2.ref \
	functional_tests/ref-output/rebuild_3.ref \
	functional_tests/ref-output/rebuild_4.ref \
	functional_tests/ref-output/recola_1.ref \
	functional_tests/ref-output/recola_2.ref \
	functional_tests/ref-output/recola_3.ref \
	functional_tests/ref-output/recola_4.ref \
	functional_tests/ref-output/recola_5.ref \
	functional_tests/ref-output/recola_6.ref \
	functional_tests/ref-output/recola_7.ref \
	functional_tests/ref-output/recola_8.ref \
	functional_tests/ref-output/recola_9.ref \
	functional_tests/ref-output/resonances_5.ref \
	functional_tests/ref-output/resonances_6.ref \
	functional_tests/ref-output/resonances_7.ref \
	functional_tests/ref-output/resonances_8.ref \
	functional_tests/ref-output/resonances_9.ref \
	functional_tests/ref-output/resonances_12.ref \
	functional_tests/ref-output/restrictions.ref \
	functional_tests/ref-output/reweight_1.ref \
	functional_tests/ref-output/reweight_2.ref \
	functional_tests/ref-output/reweight_3.ref \
	functional_tests/ref-output/reweight_4.ref \
	functional_tests/ref-output/reweight_5.ref \
	functional_tests/ref-output/reweight_6.ref \
	functional_tests/ref-output/reweight_7.ref \
	functional_tests/ref-output/reweight_8.ref \
	functional_tests/ref-output/reweight_9.ref \
	functional_tests/ref-output/reweight_10.ref \
	functional_tests/ref-output/select_1.ref \
	functional_tests/ref-output/select_2.ref \
	functional_tests/ref-output/show_1.ref \
	functional_tests/ref-output/show_2.ref \
	functional_tests/ref-output/show_3.ref \
	functional_tests/ref-output/show_4.ref \
	functional_tests/ref-output/show_5.ref \
	functional_tests/ref-output/shower_err_1.ref \
	functional_tests/ref-output/sm_cms_1.ref \
	functional_tests/ref-output/smtest_1.ref \
	functional_tests/ref-output/smtest_3.ref \
	functional_tests/ref-output/smtest_4.ref \
	functional_tests/ref-output/smtest_5.ref \
	functional_tests/ref-output/smtest_6.ref \
	functional_tests/ref-output/smtest_7.ref \
	functional_tests/ref-output/smtest_9.ref \
	functional_tests/ref-output/smtest_10.ref \
	functional_tests/ref-output/smtest_11.ref \
	functional_tests/ref-output/smtest_12.ref \
	functional_tests/ref-output/smtest_13.ref \
	functional_tests/ref-output/smtest_14.ref \
	functional_tests/ref-output/smtest_15.ref \
	functional_tests/ref-output/smtest_16.ref \
	functional_tests/ref-output/spincor_1.ref \
	functional_tests/ref-output/static_1.ref \
	functional_tests/ref-output/static_2.ref \
	functional_tests/ref-output/stdhep_1.ref \
	functional_tests/ref-output/stdhep_2.ref \
	functional_tests/ref-output/stdhep_3.ref \
	functional_tests/ref-output/stdhep_4.ref \
	functional_tests/ref-output/stdhep_5.ref \
	functional_tests/ref-output/stdhep_6.ref \
	functional_tests/ref-output/structure_1.ref \
	functional_tests/ref-output/structure_2.ref \
	functional_tests/ref-output/structure_3.ref \
	functional_tests/ref-output/structure_4.ref \
	functional_tests/ref-output/structure_5.ref \
	functional_tests/ref-output/structure_6.ref \
	functional_tests/ref-output/structure_7.ref \
	functional_tests/ref-output/structure_8.ref \
	functional_tests/ref-output/susyhit.ref \
	functional_tests/ref-output/template_me_1.ref \
	functional_tests/ref-output/template_me_2.ref \
	functional_tests/ref-output/testproc_1.ref \
	functional_tests/ref-output/testproc_2.ref \
	functional_tests/ref-output/testproc_3.ref \
	functional_tests/ref-output/testproc_4.ref \
	functional_tests/ref-output/testproc_5.ref \
	functional_tests/ref-output/testproc_6.ref \
	functional_tests/ref-output/testproc_7.ref \
	functional_tests/ref-output/testproc_8.ref \
	functional_tests/ref-output/testproc_9.ref \
	functional_tests/ref-output/testproc_10.ref \
	functional_tests/ref-output/testproc_11.ref \
	functional_tests/ref-output/testproc_12.ref \
	functional_tests/ref-output/ufo_1.ref \
	functional_tests/ref-output/ufo_2.ref \
	functional_tests/ref-output/ufo_3.ref \
	functional_tests/ref-output/ufo_4.ref \
	functional_tests/ref-output/ufo_5.ref \
	functional_tests/ref-output/user_prc_threshold_1.ref \
	functional_tests/ref-output/user_prc_threshold_2.ref \
	functional_tests/ref-output/vamp2_1.ref \
	functional_tests/ref-output/vamp2_2.ref \
	functional_tests/ref-output/vamp2_3.ref \
	functional_tests/ref-output/vars.ref \
	ext_tests_nlo/ref-output/nlo_ee4j.ref \
	ext_tests_nlo/ref-output/nlo_ee4t.ref \
	ext_tests_nlo/ref-output/nlo_ee5j.ref \
	ext_tests_nlo/ref-output/nlo_eejj.ref \
	ext_tests_nlo/ref-output/nlo_eejjj.ref \
	ext_tests_nlo/ref-output/nlo_eett.ref \
	ext_tests_nlo/ref-output/nlo_eetth.ref \
	ext_tests_nlo/ref-output/nlo_eetthh.ref \
	ext_tests_nlo/ref-output/nlo_eetthj.ref \
	ext_tests_nlo/ref-output/nlo_eetthz.ref \
	ext_tests_nlo/ref-output/nlo_eettwjj.ref \
	ext_tests_nlo/ref-output/nlo_eettww.ref \
	ext_tests_nlo/ref-output/nlo_eettz.ref \
	ext_tests_nlo/ref-output/nlo_eettzj.ref \
	ext_tests_nlo/ref-output/nlo_eettzjj.ref \
	ext_tests_nlo/ref-output/nlo_eettzz.ref \
	ext_tests_nlo/ref-output/nlo_pptttt.ref \
	ext_tests_nlo/ref-output/nlo_ppw.ref \
	ext_tests_nlo/ref-output/nlo_ppz.ref \
	ext_tests_nlo/ref-output/nlo_ppzw.ref \
	ext_tests_nlo/ref-output/nlo_ppzz.ref

	# Reference files that depend on the numerical precision
	REF_OUTPUT_FILES_DOUBLE = \
	functional_tests/ref-output-double/beam_events_2.ref \
	functional_tests/ref-output-double/beam_events_3.ref \
	functional_tests/ref-output-double/beam_setup_5.ref \
	functional_tests/ref-output-double/circe1_4.ref \
	functional_tests/ref-output-double/circe1_5.ref \
	functional_tests/ref-output-double/circe1_7.ref \
	functional_tests/ref-output-double/circe1_8.ref \
	functional_tests/ref-output-double/circe1_9.ref \
	functional_tests/ref-output-double/circe1_photons_1.ref \
	functional_tests/ref-output-double/circe1_photons_2.ref \
	functional_tests/ref-output-double/circe1_photons_3.ref \
	functional_tests/ref-output-double/circe1_photons_4.ref \
	functional_tests/ref-output-double/circe1_photons_5.ref \
	functional_tests/ref-output-double/colors_2.ref \
	functional_tests/ref-output-double/defaultcuts.ref \
	functional_tests/ref-output-double/ep_1.ref \
	functional_tests/ref-output-double/ep_2.ref \
	functional_tests/ref-output-double/ewa_1.ref \
	functional_tests/ref-output-double/ewa_2.ref \
	functional_tests/ref-output-double/ewa_3.ref \
	functional_tests/ref-output-double/fks_res_1.ref \
	functional_tests/ref-output-double/fks_res_3.ref \
	functional_tests/ref-output-double/helicity.ref \
	functional_tests/ref-output-double/hepmc_8.ref \
	functional_tests/ref-output-double/ilc.ref \
	functional_tests/ref-output-double/isr_2.ref \
	functional_tests/ref-output-double/isr_3.ref \
	functional_tests/ref-output-double/isr_4.ref \
	functional_tests/ref-output-double/isr_5.ref \
	functional_tests/ref-output-double/isr_6.ref \
	functional_tests/ref-output-double/lcio_2.ref \
	functional_tests/ref-output-double/lcio_7.ref \
	functional_tests/ref-output-double/lhapdf5.ref \
	functional_tests/ref-output-double/lhapdf6.ref \
	functional_tests/ref-output-double/lhef_7.ref \
	functional_tests/ref-output-double/mlm_matching_isr.ref \
	functional_tests/ref-output-double/multi_comp_1.ref \
	functional_tests/ref-output-double/multi_comp_2.ref \
	functional_tests/ref-output-double/multi_comp_3.ref \
	functional_tests/ref-output-double/nlo_3.ref \
	functional_tests/ref-output-double/nlo_4.ref \
	functional_tests/ref-output-double/nlo_5.ref \
	functional_tests/ref-output-double/nlo_7.ref \
	functional_tests/ref-output-double/nlo_8.ref \
	functional_tests/ref-output-double/observables_2.ref \
	functional_tests/ref-output-double/openloops_3.ref \
	functional_tests/ref-output-double/parton_shower_2.ref \
	functional_tests/ref-output-double/pdf_builtin.ref \
	functional_tests/ref-output-double/powheg_1.ref \
	functional_tests/ref-output-double/pythia6_3.ref \
	functional_tests/ref-output-double/pythia6_4.ref \
	functional_tests/ref-output-double/qcdtest_1.ref \
	functional_tests/ref-output-double/qcdtest_2.ref \
	functional_tests/ref-output-double/qcdtest_3.ref \
	functional_tests/ref-output-double/qedtest_3.ref \
	functional_tests/ref-output-double/qedtest_4.ref \
	functional_tests/ref-output-double/resonances_1.ref \
	functional_tests/ref-output-double/resonances_2.ref \
	functional_tests/ref-output-double/resonances_3.ref \
	functional_tests/ref-output-double/resonances_4.ref \
	functional_tests/ref-output-double/resonances_10.ref \
	functional_tests/ref-output-double/resonances_11.ref \
	functional_tests/ref-output-double/resonances_13.ref \
	functional_tests/ref-output-double/smtest_2.ref \
	functional_tests/ref-output-double/smtest_8.ref \
	functional_tests/ref-output-double/tauola_1.ref \
	functional_tests/ref-output-double/tauola_2.ref \
	functional_tests/ref-output-double/tauola_3.ref

	REF_OUTPUT_FILES_PREC = \
	functional_tests/ref-output-prec/beam_setup_5.ref \
	functional_tests/ref-output-prec/circe1_9.ref \
	functional_tests/ref-output-prec/circe1_photons_1.ref \
	functional_tests/ref-output-prec/circe1_photons_2.ref \
	functional_tests/ref-output-prec/circe1_photons_3.ref \
	functional_tests/ref-output-prec/circe1_photons_4.ref \
	functional_tests/ref-output-prec/circe1_photons_5.ref \
	functional_tests/ref-output-prec/colors_2.ref \
	functional_tests/ref-output-prec/defaultcuts.ref \
	functional_tests/ref-output-prec/ep_1.ref \
	functional_tests/ref-output-prec/ep_2.ref \
	functional_tests/ref-output-prec/ewa_1.ref \
	functional_tests/ref-output-prec/fks_res_1.ref \
	functional_tests/ref-output-prec/fks_res_3.ref \
	functional_tests/ref-output-prec/helicity.ref \
	functional_tests/ref-output-prec/ilc.ref \
	functional_tests/ref-output-prec/lhapdf5.ref \
	functional_tests/ref-output-prec/lhapdf6.ref \
	functional_tests/ref-output-prec/lhef_7.ref \
	functional_tests/ref-output-prec/multi_comp_1.ref \
	functional_tests/ref-output-prec/multi_comp_2.ref \
	functional_tests/ref-output-prec/multi_comp_3.ref \
	functional_tests/ref-output-prec/nlo_3.ref \
	functional_tests/ref-output-prec/nlo_4.ref \
	- functional_tests/ref-output-prec/openloops_3.ref \
	functional_tests/ref-output-prec/parton_shower_2.ref \
	functional_tests/ref-output-prec/pdf_builtin.ref \
	functional_tests/ref-output-prec/qcdtest_1.ref \
	functional_tests/ref-output-prec/qcdtest_2.ref \
	functional_tests/ref-output-prec/qcdtest_3.ref \
	functional_tests/ref-output-prec/qedtest_3.ref \
	functional_tests/ref-output-prec/qedtest_4.ref \
	functional_tests/ref-output-prec/smtest_2.ref \
	functional_tests/ref-output-prec/smtest_8.ref

	REF_OUTPUT_FILES_EXT = \
	functional_tests/ref-output-ext/beam_events_2.ref \
	functional_tests/ref-output-ext/beam_events_3.ref \
	functional_tests/ref-output-ext/circe1_4.ref \
	functional_tests/ref-output-ext/circe1_5.ref \
	functional_tests/ref-output-ext/circe1_7.ref \
	functional_tests/ref-output-ext/circe1_8.ref \
	functional_tests/ref-output-ext/ewa_2.ref \
	functional_tests/ref-output-ext/ewa_3.ref \
	functional_tests/ref-output-ext/hepmc_8.ref \
	functional_tests/ref-output-ext/isr_2.ref \
	functional_tests/ref-output-ext/isr_3.ref \
	functional_tests/ref-output-ext/isr_4.ref \
	functional_tests/ref-output-ext/isr_5.ref \
	functional_tests/ref-output-ext/isr_6.ref \
	functional_tests/ref-output-ext/lcio_2.ref \
	functional_tests/ref-output-ext/lcio_7.ref \
	functional_tests/ref-output-ext/mlm_matching_isr.ref \
	functional_tests/ref-output-ext/nlo_5.ref \
	functional_tests/ref-output-ext/nlo_7.ref \
	functional_tests/ref-output-ext/nlo_8.ref \
	functional_tests/ref-output-ext/observables_2.ref \
	+ functional_tests/ref-output-ext/openloops_3.ref \
	functional_tests/ref-output-ext/powheg_1.ref \
	functional_tests/ref-output-ext/pythia6_3.ref \
	functional_tests/ref-output-ext/pythia6_4.ref \
	functional_tests/ref-output-ext/resonances_1.ref \
	functional_tests/ref-output-ext/resonances_2.ref \
	functional_tests/ref-output-ext/resonances_3.ref \
	functional_tests/ref-output-ext/resonances_4.ref \
	functional_tests/ref-output-ext/resonances_10.ref \
	functional_tests/ref-output-ext/resonances_11.ref \
	functional_tests/ref-output-ext/resonances_13.ref \
	functional_tests/ref-output-ext/tauola_1.ref \
	functional_tests/ref-output-ext/tauola_2.ref \
	functional_tests/ref-output-ext/tauola_3.ref

	REF_OUTPUT_FILES_QUAD = \
	functional_tests/ref-output-quad/beam_events_2.ref \
	functional_tests/ref-output-quad/beam_events_3.ref \
	functional_tests/ref-output-quad/circe1_4.ref \
	functional_tests/ref-output-quad/circe1_5.ref \
	functional_tests/ref-output-quad/circe1_7.ref \
	functional_tests/ref-output-quad/circe1_8.ref \
	functional_tests/ref-output-quad/ewa_2.ref \
	functional_tests/ref-output-quad/ewa_3.ref \
	functional_tests/ref-output-quad/hepmc_8.ref \
	functional_tests/ref-output-quad/isr_2.ref \
	functional_tests/ref-output-quad/isr_3.ref \
	functional_tests/ref-output-quad/isr_4.ref \
	functional_tests/ref-output-quad/isr_5.ref \
	functional_tests/ref-output-quad/isr_6.ref \
	functional_tests/ref-output-quad/lcio_2.ref \
	functional_tests/ref-output-quad/lcio_7.ref \
	functional_tests/ref-output-quad/mlm_matching_isr.ref \
	functional_tests/ref-output-quad/nlo_5.ref \
	functional_tests/ref-output-quad/nlo_7.ref \
	functional_tests/ref-output-quad/nlo_8.ref \
	functional_tests/ref-output-quad/observables_2.ref \
	+ functional_tests/ref-output-quad/openloops_3.ref \
	functional_tests/ref-output-quad/powheg_1.ref \
	functional_tests/ref-output-quad/pythia6_3.ref \
	functional_tests/ref-output-quad/pythia6_4.ref \
	functional_tests/ref-output-quad/resonances_1.ref \
	functional_tests/ref-output-quad/resonances_2.ref \
	functional_tests/ref-output-quad/resonances_3.ref \
	functional_tests/ref-output-quad/resonances_4.ref \
	functional_tests/ref-output-quad/resonances_10.ref \
	functional_tests/ref-output-quad/resonances_11.ref \
	functional_tests/ref-output-quad/resonances_13.ref \
	functional_tests/ref-output-quad/tauola_1.ref \
	functional_tests/ref-output-quad/tauola_2.ref \
	functional_tests/ref-output-quad/tauola_3.ref

	TESTSUITES_M4 = \
	$(MISC_TESTS_M4) \
	$(EXT_MSSM_M4) \
	$(EXT_NMSSM_M4)

	TESTSUITES_SIN = \
	$(MISC_TESTS_SIN) \
	$(EXT_ILC_SIN) \
	$(EXT_MSSM_SIN) \
	$(EXT_NMSSM_SIN) \
	$(EXT_SHOWER_SIN) \
	$(EXT_NLO_SIN) \
	$(EXT_NLO_ADD_SIN)


	MISC_TESTS_M4 =

	MISC_TESTS_SIN = \
	functional_tests/alphas.sin \
	functional_tests/analyze_1.sin \
	functional_tests/analyze_2.sin \
	functional_tests/analyze_3.sin \
	functional_tests/analyze_4.sin \
	functional_tests/analyze_5.sin \
	functional_tests/analyze_6.sin \
	functional_tests/beam_events_1.sin \
	functional_tests/beam_events_2.sin \
	functional_tests/beam_events_3.sin \
	functional_tests/beam_events_4.sin \
	functional_tests/beam_setup_1.sin \
	functional_tests/beam_setup_2.sin \
	functional_tests/beam_setup_3.sin \
	functional_tests/beam_setup_4.sin \
	functional_tests/beam_setup_5.sin \
	functional_tests/bjet_cluster.sin \
	functional_tests/br_redef_1.sin \
	functional_tests/cascades2_phs_1.sin \
	functional_tests/cascades2_phs_2.sin \
	functional_tests/circe1_1.sin \
	functional_tests/circe1_2.sin \
	functional_tests/circe1_3.sin \
	functional_tests/circe1_4.sin \
	functional_tests/circe1_5.sin \
	functional_tests/circe1_6.sin \
	functional_tests/circe1_7.sin \
	functional_tests/circe1_8.sin \
	functional_tests/circe1_9.sin \
	functional_tests/circe1_10.sin \
	functional_tests/circe1_errors_1.sin \
	functional_tests/circe1_photons_1.sin \
	functional_tests/circe1_photons_2.sin \
	functional_tests/circe1_photons_3.sin \
	functional_tests/circe1_photons_4.sin \
	functional_tests/circe1_photons_5.sin \
	functional_tests/circe2_1.sin \
	functional_tests/circe2_2.sin \
	functional_tests/circe2_3.sin \
	functional_tests/cmdline_1.sin \
	functional_tests/cmdline_1_a.sin \
	functional_tests/cmdline_1_b.sin \
	functional_tests/colors.sin \
	functional_tests/colors_2.sin \
	functional_tests/colors_hgg.sin \
	functional_tests/cuts.sin \
	functional_tests/decay_err_1.sin \
	functional_tests/decay_err_2.sin \
	functional_tests/decay_err_3.sin \
	functional_tests/defaultcuts.sin \
	functional_tests/empty.sin \
	functional_tests/energy_scan_1.sin \
	functional_tests/ep_1.sin \
	functional_tests/ep_2.sin \
	functional_tests/ep_3.sin \
	functional_tests/epa_1.sin \
	functional_tests/epa_2.sin \
	functional_tests/epa_3.sin \
	functional_tests/epa_4.sin \
	functional_tests/event_dump_1.sin \
	functional_tests/event_dump_2.sin \
	functional_tests/event_eff_1.sin \
	functional_tests/event_eff_2.sin \
	functional_tests/event_failed_1.sin \
	functional_tests/event_weights_1.sin \
	functional_tests/event_weights_2.sin \
	functional_tests/ewa_1.sin \
	functional_tests/ewa_2.sin \
	functional_tests/ewa_3.sin \
	functional_tests/ewa_4.sin \
	functional_tests/extpar.sin \
	functional_tests/fatal.sin \
	functional_tests/fatal_beam_decay.sin \
	functional_tests/fks_res_1.sin \
	functional_tests/fks_res_2.sin \
	functional_tests/fks_res_3.sin \
	functional_tests/flvsum_1.sin \
	functional_tests/gaussian_1.sin \
	functional_tests/gaussian_2.sin \
	functional_tests/hadronize_1.sin \
	functional_tests/helicity.sin \
	functional_tests/hepmc_1.sin \
	functional_tests/hepmc_2.sin \
	functional_tests/hepmc_3.sin \
	functional_tests/hepmc_4.sin \
	functional_tests/hepmc_5.sin \
	functional_tests/hepmc_6.sin \
	functional_tests/hepmc_7.sin \
	functional_tests/hepmc_8.sin \
	functional_tests/hepmc_9.sin \
	functional_tests/hepmc_10.sin \
	functional_tests/ilc.sin \
	functional_tests/isr_1.sin \
	functional_tests/isr_2.sin \
	functional_tests/isr_3.sin \
	functional_tests/isr_4.sin \
	functional_tests/isr_5.sin \
	functional_tests/isr_6.sin \
	functional_tests/isr_epa_1.sin \
	functional_tests/jets_xsec.sin \
	functional_tests/job_id_1.sin \
	functional_tests/job_id_2.sin \
	functional_tests/job_id_3.sin \
	functional_tests/job_id_4.sin \
	functional_tests/lcio_1.sin \
	functional_tests/lcio_2.sin \
	functional_tests/lcio_3.sin \
	functional_tests/lcio_4.sin \
	functional_tests/lcio_5.sin \
	functional_tests/lcio_6.sin \
	functional_tests/lcio_7.sin \
	functional_tests/lcio_8.sin \
	functional_tests/lcio_9.sin \
	functional_tests/lcio_10.sin \
	functional_tests/lcio_11.sin \
	functional_tests/lhapdf5.sin \
	functional_tests/lhapdf6.sin \
	functional_tests/lhef_1.sin \
	functional_tests/lhef_2.sin \
	functional_tests/lhef_3.sin \
	functional_tests/lhef_4.sin \
	functional_tests/lhef_5.sin \
	functional_tests/lhef_6.sin \
	functional_tests/lhef_7.sin \
	functional_tests/lhef_8.sin \
	functional_tests/lhef_9.sin \
	functional_tests/lhef_10.sin \
	functional_tests/lhef_11.sin \
	functional_tests/libraries_1.sin \
	functional_tests/libraries_2.sin \
	functional_tests/libraries_3.sin \
	functional_tests/libraries_4.sin \
	functional_tests/method_ovm_1.sin \
	functional_tests/mlm_matching_fsr.sin \
	functional_tests/mlm_matching_isr.sin \
	functional_tests/mlm_pythia6_isr.sin \
	functional_tests/model_change_1.sin \
	functional_tests/model_change_2.sin \
	functional_tests/model_change_3.sin \
	functional_tests/model_scheme_1.sin \
	functional_tests/model_test.sin \
	functional_tests/mssmtest_1.sin \
	functional_tests/mssmtest_2.sin \
	functional_tests/mssmtest_3.sin \
	functional_tests/multi_comp_1.sin \
	functional_tests/multi_comp_2.sin \
	functional_tests/multi_comp_3.sin \
	functional_tests/multi_comp_4.sin \
	functional_tests/nlo_1.sin \
	functional_tests/nlo_2.sin \
	functional_tests/nlo_3.sin \
	functional_tests/nlo_4.sin \
	functional_tests/nlo_5.sin \
	functional_tests/nlo_6.sin \
	functional_tests/nlo_7.sin \
	functional_tests/nlo_8.sin \
	functional_tests/nlo_9.sin \
	functional_tests/nlo_decay_1.sin \
	functional_tests/observables_1.sin \
	functional_tests/observables_2.sin \
	functional_tests/openloops_1.sin \
	functional_tests/openloops_2.sin \
	functional_tests/openloops_3.sin \
	functional_tests/openloops_4.sin \
	functional_tests/openloops_5.sin \
	functional_tests/openloops_6.sin \
	functional_tests/openloops_7.sin \
	functional_tests/openloops_8.sin \
	functional_tests/openloops_9.sin \
	functional_tests/openloops_10.sin \
	functional_tests/openloops_11.sin \
	functional_tests/openloops_12.sin \
	functional_tests/openloops_13.sin \
	functional_tests/pack_1.sin \
	functional_tests/parton_shower_1.sin \
	functional_tests/parton_shower_2.sin \
	functional_tests/pdf_builtin.sin \
	functional_tests/photon_isolation_1.sin \
	functional_tests/photon_isolation_2.sin \
	functional_tests/polarized_1.sin \
	functional_tests/powheg_1.sin \
	functional_tests/process_log.sin \
	functional_tests/pythia6_1.sin \
	functional_tests/pythia6_2.sin \
	functional_tests/pythia6_3.sin \
	functional_tests/pythia6_4.sin \
	functional_tests/pythia8_1.sin \
	functional_tests/pythia8_2.sin \
	functional_tests/qcdtest_1.sin \
	functional_tests/qcdtest_2.sin \
	functional_tests/qcdtest_3.sin \
	functional_tests/qcdtest_4.sin \
	functional_tests/qcdtest_5.sin \
	functional_tests/qcdtest_6.sin \
	functional_tests/qedtest_1.sin \
	functional_tests/qedtest_2.sin \
	functional_tests/qedtest_3.sin \
	functional_tests/qedtest_4.sin \
	functional_tests/qedtest_5.sin \
	functional_tests/qedtest_6.sin \
	functional_tests/qedtest_7.sin \
	functional_tests/qedtest_8.sin \
	functional_tests/qedtest_9.sin \
	functional_tests/qedtest_10.sin \
	functional_tests/rambo_vamp_1.sin \
	functional_tests/rambo_vamp_2.sin \
	functional_tests/real_partition_1.sin \
	functional_tests/rebuild_1.sin \
	functional_tests/rebuild_2.sin \
	functional_tests/rebuild_3.sin \
	functional_tests/rebuild_4.sin \
	functional_tests/rebuild_5.sin \
	functional_tests/recola_1.sin \
	functional_tests/recola_2.sin \
	functional_tests/recola_3.sin \
	functional_tests/recola_4.sin \
	functional_tests/recola_5.sin \
	functional_tests/recola_6.sin \
	functional_tests/recola_7.sin \
	functional_tests/recola_8.sin \
	functional_tests/recola_9.sin \
	functional_tests/resonances_1.sin \
	functional_tests/resonances_2.sin \
	functional_tests/resonances_3.sin \
	functional_tests/resonances_4.sin \
	functional_tests/resonances_5.sin \
	functional_tests/resonances_6.sin \
	functional_tests/resonances_7.sin \
	functional_tests/resonances_8.sin \
	functional_tests/resonances_9.sin \
	functional_tests/resonances_10.sin \
	functional_tests/resonances_11.sin \
	functional_tests/resonances_12.sin \
	functional_tests/resonances_13.sin \
	functional_tests/restrictions.sin \
	functional_tests/reweight_1.sin \
	functional_tests/reweight_2.sin \
	functional_tests/reweight_3.sin \
	functional_tests/reweight_4.sin \
	functional_tests/reweight_5.sin \
	functional_tests/reweight_6.sin \
	functional_tests/reweight_7.sin \
	functional_tests/reweight_8.sin \
	functional_tests/reweight_9.sin \
	functional_tests/reweight_10.sin \
	functional_tests/select_1.sin \
	functional_tests/select_2.sin \
	functional_tests/show_1.sin \
	functional_tests/show_2.sin \
	functional_tests/show_3.sin \
	functional_tests/show_4.sin \
	functional_tests/show_5.sin \
	functional_tests/shower_err_1.sin \
	functional_tests/sm_cms_1.sin \
	functional_tests/smtest_1.sin \
	functional_tests/smtest_2.sin \
	functional_tests/smtest_3.sin \
	functional_tests/smtest_4.sin \
	functional_tests/smtest_5.sin \
	functional_tests/smtest_6.sin \
	functional_tests/smtest_7.sin \
	functional_tests/smtest_8.sin \
	functional_tests/smtest_9.sin \
	functional_tests/smtest_10.sin \
	functional_tests/smtest_11.sin \
	functional_tests/smtest_12.sin \
	functional_tests/smtest_13.sin \
	functional_tests/smtest_14.sin \
	functional_tests/smtest_15.sin \
	functional_tests/smtest_16.sin \
	functional_tests/spincor_1.sin \
	functional_tests/static_1.exe.sin \
	functional_tests/static_1.sin \
	functional_tests/static_2.exe.sin \
	functional_tests/static_2.sin \
	functional_tests/stdhep_1.sin \
	functional_tests/stdhep_2.sin \
	functional_tests/stdhep_3.sin \
	functional_tests/stdhep_4.sin \
	functional_tests/stdhep_5.sin \
	functional_tests/stdhep_6.sin \
	functional_tests/structure_1.sin \
	functional_tests/structure_2.sin \
	functional_tests/structure_3.sin \
	functional_tests/structure_4.sin \
	functional_tests/structure_5.sin \
	functional_tests/structure_6.sin \
	functional_tests/structure_7.sin \
	functional_tests/structure_8.sin \
	functional_tests/susyhit.sin \
	functional_tests/tauola_1.sin \
	functional_tests/tauola_2.sin \
	functional_tests/tauola_3.sin \
	functional_tests/template_me_1.sin \
	functional_tests/template_me_2.sin \
	functional_tests/testproc_1.sin \
	functional_tests/testproc_2.sin \
	functional_tests/testproc_3.sin \
	functional_tests/testproc_4.sin \
	functional_tests/testproc_5.sin \
	functional_tests/testproc_6.sin \
	functional_tests/testproc_7.sin \
	functional_tests/testproc_8.sin \
	functional_tests/testproc_9.sin \
	functional_tests/testproc_10.sin \
	functional_tests/testproc_11.sin \
	functional_tests/testproc_12.sin \
	functional_tests/ufo_1.sin \
	functional_tests/ufo_2.sin \
	functional_tests/ufo_3.sin \
	functional_tests/ufo_4.sin \
	functional_tests/ufo_5.sin \
	functional_tests/user_prc_threshold_1.sin \
	functional_tests/user_prc_threshold_2.sin \
	functional_tests/vamp2_1.sin \
	functional_tests/vamp2_2.sin \
	functional_tests/vamp2_3.sin \
	functional_tests/vars.sin

	EXT_MSSM_M4 = \
	ext_tests_mssm/mssm_ext-aa.m4 \
	ext_tests_mssm/mssm_ext-bb.m4 \
	ext_tests_mssm/mssm_ext-bt.m4 \
	ext_tests_mssm/mssm_ext-dd.m4 \
	ext_tests_mssm/mssm_ext-dd2.m4 \
	ext_tests_mssm/mssm_ext-ddckm.m4 \
	ext_tests_mssm/mssm_ext-dg.m4 \
	ext_tests_mssm/mssm_ext-ee.m4 \
	ext_tests_mssm/mssm_ext-ee2.m4 \
	ext_tests_mssm/mssm_ext-en.m4 \
	ext_tests_mssm/mssm_ext-ga.m4 \
	ext_tests_mssm/mssm_ext-gg.m4 \
	ext_tests_mssm/mssm_ext-gw.m4 \
	ext_tests_mssm/mssm_ext-gz.m4 \
	ext_tests_mssm/mssm_ext-tn.m4 \
	ext_tests_mssm/mssm_ext-tt.m4 \
	ext_tests_mssm/mssm_ext-ug.m4 \
	ext_tests_mssm/mssm_ext-uu.m4 \
	ext_tests_mssm/mssm_ext-uu2.m4 \
	ext_tests_mssm/mssm_ext-uuckm.m4 \
	ext_tests_mssm/mssm_ext-wa.m4 \
	ext_tests_mssm/mssm_ext-ww.m4 \
	ext_tests_mssm/mssm_ext-wz.m4 \
	ext_tests_mssm/mssm_ext-za.m4 \
	ext_tests_mssm/mssm_ext-zz.m4

	EXT_NMSSM_M4 = \
	ext_tests_nmssm/nmssm_ext-aa.m4 \
	ext_tests_nmssm/nmssm_ext-bb1.m4 \
	ext_tests_nmssm/nmssm_ext-bb2.m4 \
	ext_tests_nmssm/nmssm_ext-bt.m4 \
	ext_tests_nmssm/nmssm_ext-dd1.m4 \
	ext_tests_nmssm/nmssm_ext-dd2.m4 \
	ext_tests_nmssm/nmssm_ext-ee1.m4 \
	ext_tests_nmssm/nmssm_ext-ee2.m4 \
	ext_tests_nmssm/nmssm_ext-en.m4 \
	ext_tests_nmssm/nmssm_ext-ga.m4 \
	ext_tests_nmssm/nmssm_ext-gg.m4 \
	ext_tests_nmssm/nmssm_ext-gw.m4 \
	ext_tests_nmssm/nmssm_ext-gz.m4 \
	ext_tests_nmssm/nmssm_ext-qg.m4 \
	ext_tests_nmssm/nmssm_ext-tn.m4 \
	ext_tests_nmssm/nmssm_ext-tt1.m4 \
	ext_tests_nmssm/nmssm_ext-tt2.m4 \
	ext_tests_nmssm/nmssm_ext-uu1.m4 \
	ext_tests_nmssm/nmssm_ext-uu2.m4 \
	ext_tests_nmssm/nmssm_ext-wa.m4 \
	ext_tests_nmssm/nmssm_ext-ww1.m4 \
	ext_tests_nmssm/nmssm_ext-ww2.m4 \
	ext_tests_nmssm/nmssm_ext-wz.m4 \
	ext_tests_nmssm/nmssm_ext-za.m4 \
	ext_tests_nmssm/nmssm_ext-zz1.m4 \
	ext_tests_nmssm/nmssm_ext-zz2.m4

	EXT_MSSM_SIN = $(EXT_MSSM_M4:.m4=.sin)
	EXT_NMSSM_SIN = $(EXT_NMSSM_M4:.m4=.sin)

	EXT_ILC_SIN = \
	ext_tests_ilc/ilc_settings.sin \
	ext_tests_ilc/ilc_top_pair_360.sin \
	ext_tests_ilc/ilc_top_pair_500.sin \
	ext_tests_ilc/ilc_vbf_higgs_360.sin \
	ext_tests_ilc/ilc_vbf_higgs_500.sin \
	ext_tests_ilc/ilc_vbf_no_higgs_360.sin \
	ext_tests_ilc/ilc_vbf_no_higgs_500.sin \
	ext_tests_ilc/ilc_higgs_strahlung_360.sin \
	ext_tests_ilc/ilc_higgs_strahlung_500.sin \
	ext_tests_ilc/ilc_higgs_strahlung_background_360.sin \
	ext_tests_ilc/ilc_higgs_strahlung_background_500.sin \
	ext_tests_ilc/ilc_higgs_coupling_360.sin \
	ext_tests_ilc/ilc_higgs_coupling_500.sin \
	ext_tests_ilc/ilc_higgs_coupling_background_360.sin \
	ext_tests_ilc/ilc_higgs_coupling_background_500.sin


	EXT_SHOWER_SIN = \
	ext_tests_shower/shower_1_norad.sin \
	ext_tests_shower/shower_2_aall.sin \
	ext_tests_shower/shower_3_bb.sin \
	ext_tests_shower/shower_3_jj.sin \
	ext_tests_shower/shower_3_qqqq.sin \
	ext_tests_shower/shower_3_tt.sin \
	ext_tests_shower/shower_3_z_nu.sin \
	ext_tests_shower/shower_3_z_tau.sin \
	ext_tests_shower/shower_4_ee.sin \
	ext_tests_shower/shower_5.sin \
	ext_tests_shower/shower_6.sin

	EXT_NLO_SIN = \
	ext_tests_nlo/nlo_ee4b.sin \
	ext_tests_nlo/nlo_ee4j.sin \
	ext_tests_nlo/nlo_ee4t.sin \
	ext_tests_nlo/nlo_ee4tj.sin \
	ext_tests_nlo/nlo_ee5j.sin \
	ext_tests_nlo/nlo_eebb.sin \
	ext_tests_nlo/nlo_eebbj.sin \
	ext_tests_nlo/nlo_eebbjj.sin \
	ext_tests_nlo/nlo_eejj.sin \
	ext_tests_nlo/nlo_eejjj.sin \
	ext_tests_nlo/nlo_eett.sin \
	ext_tests_nlo/nlo_eetta.sin \
	ext_tests_nlo/nlo_eettaa.sin \
	ext_tests_nlo/nlo_eettah.sin \
	ext_tests_nlo/nlo_eettaj.sin \
	ext_tests_nlo/nlo_eettajj.sin \
	ext_tests_nlo/nlo_eettaz.sin \
	ext_tests_nlo/nlo_eettbb.sin \
	ext_tests_nlo/nlo_eetth.sin \
	ext_tests_nlo/nlo_eetthh.sin \
	ext_tests_nlo/nlo_eetthj.sin \
	ext_tests_nlo/nlo_eetthjj.sin \
	ext_tests_nlo/nlo_eetthz.sin \
	ext_tests_nlo/nlo_eettj.sin \
	ext_tests_nlo/nlo_eettjj.sin \
	ext_tests_nlo/nlo_eettjjj.sin \
	ext_tests_nlo/nlo_eettwjj.sin \
	ext_tests_nlo/nlo_eettww.sin \
	ext_tests_nlo/nlo_eettz.sin \
	ext_tests_nlo/nlo_eettzj.sin \
	ext_tests_nlo/nlo_eettzjj.sin \
	ext_tests_nlo/nlo_eettzz.sin \
	ext_tests_nlo/nlo_pptttt.sin \
	ext_tests_nlo/nlo_ppw.sin \
	ext_tests_nlo/nlo_ppz.sin \
	ext_tests_nlo/nlo_ppzw.sin \
	ext_tests_nlo/nlo_ppzz.sin \
	ext_tests_nlo/nlo_settings.sin

	EXT_NLO_ADD_SIN = \
	ext_tests_nlo_add/nlo_decay_tbw.sin \
	ext_tests_nlo_add/nlo_fks_delta_i_ppee.sin \
	ext_tests_nlo_add/nlo_fks_delta_o_eejj.sin \
	ext_tests_nlo_add/nlo_jets.sin \
	ext_tests_nlo_add/nlo_methods_gosam.sin \
	ext_tests_nlo_add/nlo_qq_powheg.sin \
	ext_tests_nlo_add/nlo_threshold_factorized.sin \
	ext_tests_nlo_add/nlo_threshold.sin \
	ext_tests_nlo_add/nlo_tt_powheg_sudakov.sin \
	ext_tests_nlo_add/nlo_tt_powheg.sin \
	ext_tests_nlo_add/nlo_tt.sin \
	ext_tests_nlo_add/nlo_uu_powheg.sin \
	ext_tests_nlo_add/nlo_uu.sin

	all-local: $(TESTSUITES_SIN)

	if M4_AVAILABLE
	SUFFIXES = .m4 .sin
	.m4.sin:
	case "$@" in \
	/) \
	mkdir -p `sed 's,/.[^/]*$$,,g' <<< "$@"` ;; \
	esac
	$(M4) $(srcdir)/$(TESTSUITE_MACROS) $< > $@
	endif M4_AVAILABLE
	Index: trunk/share/tests/functional_tests/ref-output-ext/openloops_3.ref
	===================================================================
	--- trunk/share/tests/functional_tests/ref-output-ext/openloops_3.ref (revision 0)
	+++ trunk/share/tests/functional_tests/ref-output-ext/openloops_3.ref (revision 8424)
	@@ -0,0 +1,1186 @@
	+?openmp_logging = false
	+?vis_history = false
	+?integration_timer = false
	+?pacify = true
	+$method = "openloops"
	+openmp_num_threads = 1
	+?use_vamp_equivalences = false
	+?alphas_is_fixed = false
	+?alphas_from_mz = true
	+seed = 2222
	+sqrts = 5.00000E+02
	+?debug_decay = false
	+?debug_process = false
	+?debug_verbose = false
	+?sample_pacify = true
	+?write_raw = false
	+?fixed_order_nlo_events = true
	+?negative_weights = true
	+?unweighted = false
	+SM.mtop => 1.73200E+02
	+SM.wtop => 0.00000E+00
	+\| Process library 'openloops_3_lib': recorded process 'openloops_3_p1'
	+\| Integrate: current process library needs compilation
	+\| Process library 'openloops_3_lib': compiling ...
	+\| Process library 'openloops_3_lib': writing makefile
	+\| Process library 'openloops_3_lib': removing old files
	+\| Process library 'openloops_3_lib': writing driver
	+\| Process library 'openloops_3_lib': creating source code
	+\| Process library 'openloops_3_lib': compiling sources
	+\| Process library 'openloops_3_lib': linking
	+\| Process library 'openloops_3_lib': loading
	+\| Process library 'openloops_3_lib': ... success.
	+\| Integrate: compilation done
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 2222
	+\| Initializing integration for process openloops_3_p1:
	+\| Beam structure: [any particles]
	+\| Beam data (collision):
	+\| e+ (mass = 5.1099700E-04 GeV)
	+\| e- (mass = 5.1099700E-04 GeV)
	+\| sqrts = 5.000000000000E+02 GeV
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p1.i1.phs'
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p1.i3.phs'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| ------------------------------------------------------------------------
	+\| Process [scattering]: 'openloops_3_p1'
	+\| Library name = 'openloops_3_lib'
	+\| Process index = 1
	+\| Process components:
	+\| 1: 'openloops_3_p1_i1': e+, e- => t, tbar [openloops]
	+\| 2: 'openloops_3_p1_i2': e+, e- => t, tbar, gl [inactive], [real]
	+\| 3: 'openloops_3_p1_i3': e+, e- => t, tbar [inactive], [virtual]
	+\| 4: 'openloops_3_p1_i4': e+, e- => t, tbar [inactive], [subtraction]
	+\| ------------------------------------------------------------------------
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 5 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+Warning: No cuts have been defined.
	+\| Starting integration for process 'openloops_3_p1' part 'born'
	+\| Integrate: iterations = 1:100
	+\| Integrator: 1 chains, 1 channels, 2 dimensions
	+\| Integrator: 100 initial calls, 20 bins, stratified = T
	+\| Integrator: VAMP
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 100 6.257E+02 2.89E+01 4.61 0.46 55.5
	+\|-----------------------------------------------------------------------------\|
	+ 1 100 6.257E+02 2.89E+01 4.61 0.46 55.5
	+\|=============================================================================\|
	+\| Integrate: sum of all components
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 0 6.257E+02 2.89E+01 4.61 0.00 55.5
	+\| NLO Correction: [O(alpha_s+1)/O(alpha_s)]
	+\| ( 0.0000 +- 0.00000 ) %
	+\|=============================================================================\|
	+n_events = 1
	+\| Starting simulation for process 'openloops_3_p1'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| Simulate: using integration grids from file 'openloops_3_p1.m1.vg'
	+\| Simulate: activating fixed-order NLO events
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 2223
	+\| Events: writing to ASCII file 'openloops_3_p1.debug'
	+\| Events: generating 1 weighted, unpolarized events ...
	+\| Events: event normalization mode 'sigma'
	+\| ... event sample complete.
	+\| Events: closing ASCII file 'openloops_3_p1.debug'
	+seed = 3333
	+\| Process library 'openloops_3_lib': unloading
	+\| Process library 'openloops_3_lib': open
	+\| Process library 'openloops_3_lib': recorded process 'openloops_3_p2'
	+\| Integrate: current process library needs compilation
	+\| Process library 'openloops_3_lib': compiling ...
	+\| Process library 'openloops_3_lib': writing makefile
	+\| Process library 'openloops_3_lib': removing old files
	+\| Process library 'openloops_3_lib': writing driver
	+\| Process library 'openloops_3_lib': creating source code
	+\| Process library 'openloops_3_lib': compiling sources
	+\| Process library 'openloops_3_lib': linking
	+\| Process library 'openloops_3_lib': loading
	+\| Process library 'openloops_3_lib': ... success.
	+\| Integrate: compilation done
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 3333
	+\| Initializing integration for process openloops_3_p2:
	+\| Beam structure: [any particles]
	+\| Beam data (collision):
	+\| e+ (mass = 5.1099700E-04 GeV)
	+\| e- (mass = 5.1099700E-04 GeV)
	+\| sqrts = 5.000000000000E+02 GeV
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p2.i1.phs'
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p2.i3.phs'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| ------------------------------------------------------------------------
	+\| Process [scattering]: 'openloops_3_p2'
	+\| Library name = 'openloops_3_lib'
	+\| Process index = 2
	+\| Process components:
	+\| 1: 'openloops_3_p2_i1': e+, e- => t, tbar [inactive]
	+\| 2: 'openloops_3_p2_i2': e+, e- => t, tbar, gl [openloops], [real]
	+\| 3: 'openloops_3_p2_i3': e+, e- => t, tbar [inactive], [virtual]
	+\| 4: 'openloops_3_p2_i4': e+, e- => t, tbar [inactive], [subtraction]
	+\| ------------------------------------------------------------------------
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 5 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+Warning: No cuts have been defined.
	+\| Starting integration for process 'openloops_3_p2' part 'real'
	+\| Integrate: iterations = 1:100
	+\| Integrator: 1 chains, 1 channels, 5 dimensions
	+\| Integrator: 100 initial calls, 20 bins, stratified = T
	+\| Integrator: VAMP
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 100 -7.301E+01 4.28E+00 5.86 0.59 39.2
	+\|-----------------------------------------------------------------------------\|
	+ 1 100 -7.301E+01 4.28E+00 5.86 0.59 39.2
	+\|=============================================================================\|
	+\| Integrate: sum of all components
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 0 -7.301E+01 4.28E+00 5.86 0.00 0.0
	+\|=============================================================================\|
	+n_events = 1
	+\| Starting simulation for process 'openloops_3_p2'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| Simulate: using integration grids from file 'openloops_3_p2.m2.vg'
	+\| Simulate: activating fixed-order NLO events
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 3334
	+\| Events: writing to ASCII file 'openloops_3_p2.debug'
	+\| Events: generating 3 weighted, unpolarized NLO events ...
	+\| Events: event normalization mode 'sigma'
	+\| ... event sample complete.
	+\| Events: closing ASCII file 'openloops_3_p2.debug'
	+seed = 4444
	+\| Process library 'openloops_3_lib': unloading
	+\| Process library 'openloops_3_lib': open
	+\| Process library 'openloops_3_lib': recorded process 'openloops_3_p3'
	+\| Integrate: current process library needs compilation
	+\| Process library 'openloops_3_lib': compiling ...
	+\| Process library 'openloops_3_lib': writing makefile
	+\| Process library 'openloops_3_lib': removing old files
	+\| Process library 'openloops_3_lib': writing driver
	+\| Process library 'openloops_3_lib': creating source code
	+\| Process library 'openloops_3_lib': compiling sources
	+\| Process library 'openloops_3_lib': linking
	+\| Process library 'openloops_3_lib': loading
	+\| Process library 'openloops_3_lib': ... success.
	+\| Integrate: compilation done
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 4444
	+\| Initializing integration for process openloops_3_p3:
	+\| Beam structure: [any particles]
	+\| Beam data (collision):
	+\| e+ (mass = 5.1099700E-04 GeV)
	+\| e- (mass = 5.1099700E-04 GeV)
	+\| sqrts = 5.000000000000E+02 GeV
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p3.i1.phs'
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p3.i3.phs'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| ------------------------------------------------------------------------
	+\| Process [scattering]: 'openloops_3_p3'
	+\| Library name = 'openloops_3_lib'
	+\| Process index = 3
	+\| Process components:
	+\| 1: 'openloops_3_p3_i1': e+, e- => t, tbar [inactive]
	+\| 2: 'openloops_3_p3_i2': e+, e- => t, tbar, gl [inactive], [real]
	+\| 3: 'openloops_3_p3_i3': e+, e- => t, tbar [openloops], [virtual]
	+\| 4: 'openloops_3_p3_i4': e+, e- => t, tbar [inactive], [subtraction]
	+\| ------------------------------------------------------------------------
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 5 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+Warning: No cuts have been defined.
	+\| Starting integration for process 'openloops_3_p3' part 'virtual'
	+\| Integrate: iterations = 1:100
	+\| Integrator: 1 chains, 1 channels, 2 dimensions
	+\| Integrator: 100 initial calls, 20 bins, stratified = T
	+\| Integrator: VAMP
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 100 1.387E+02 7.85E+00 5.66 0.57 44.8
	+\|-----------------------------------------------------------------------------\|
	+ 1 100 1.387E+02 7.85E+00 5.66 0.57 44.8
	+\|=============================================================================\|
	+\| Integrate: sum of all components
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 0 1.387E+02 7.85E+00 5.66 0.00 44.8
	+\|=============================================================================\|
	+n_events = 1
	+\| Starting simulation for process 'openloops_3_p3'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| Simulate: using integration grids from file 'openloops_3_p3.m3.vg'
	+\| Simulate: activating fixed-order NLO events
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 4445
	+\| Events: writing to ASCII file 'openloops_3_p3.debug'
	+\| Events: generating 1 weighted, unpolarized events ...
	+\| Events: event normalization mode 'sigma'
	+\| ... event sample complete.
	+\| Events: closing ASCII file 'openloops_3_p3.debug'
	+\| There were no errors and 3 warning(s).
	+\| WHIZARD run finished.
	+\|=============================================================================\|
	+========================================================================
	+ Event #1
	+------------------------------------------------------------------------
	+ Unweighted = F
	+ Normalization = 'sigma'
	+ Helicity handling = drop
	+ Keep correlations = F
	+------------------------------------------------------------------------
	+ Squared matrix el. (ref) = 2.66014E-02
	+ Squared matrix el. (prc) = 2.66014E-02
	+ Event weight (ref) = 5.94404E+02
	+ Event weight (prc) = 5.94404E+02
	+------------------------------------------------------------------------
	+ Selected MCI group = 1
	+ Selected term = 1
	+ Selected channel = 1
	+------------------------------------------------------------------------
	+ Passed selection = T
	+ Reweighting factor = 1.00000E+00
	+ Analysis flag = T
	+========================================================================
	+ Event transform: trivial (hard process)
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p1'
	+ TAO random-number generator:
	+ seed = 145620996
	+ calls = 3
	+ Number of tries = 1
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -3.093375E+01 1.729251E+02 -4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 3.093375E+01 -1.729251E+02 4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+========================================================================
	+========================================================================
	+ Event transform: NLO
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p1'
	+ TAO random-number generator:
	+ seed = 145620997
	+ calls = 3
	+ Number of tries = 0
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -3.093375E+01 1.729251E+02 -4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 3.093375E+01 -1.729251E+02 4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+sqme_rad = 0.000000000E+00
	+ i_evaluation = 0
	+------------------------------------------------------------------------
	+ Radiated particle sets:
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -3.093375E+01 1.729251E+02 -4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 3.093375E+01 -1.729251E+02 4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+========================================================================
	+ Local variables:
	+------------------------------------------------------------------------
	+sqrts* = 5.00000E+02
	+sqrts_hat* => 5.00000E+02
	+n_in* => 2
	+n_out* => 2
	+n_tot* => 4
	+$process_id* => "openloops_3_p1"
	+process_num_id* => [unknown integer]
	+sqme* => 2.66014E-02
	+sqme_ref* => 2.66014E-02
	+event_index* => 1
	+event_weight* => 5.94404E+02
	+event_weight_ref* => 5.94404E+02
	+event_excess* => 0.00000E+00
	+------------------------------------------------------------------------
	+ subevent:
	+ 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	+ 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	+ 3 prt(o:6\| 2.5000000E+02;-3.0933754E+01, 1.7292509E+02,-4.0518856E+01\| 2.9998240E+04\| 3)
	+ 4 prt(o:-6\| 2.5000000E+02; 3.0933754E+01,-1.7292509E+02, 4.0518856E+01\| 2.9998240E+04\| 4)
	+========================================================================
	+========================================================================
	+ Event #1
	+------------------------------------------------------------------------
	+ Unweighted = F
	+ Normalization = 'sigma'
	+ Helicity handling = drop
	+ Keep correlations = F
	+------------------------------------------------------------------------
	+ Squared matrix el. (ref) = -4.37375E-03
	+ Squared matrix el. (prc) = -5.17360E-03
	+ Event weight (ref) = -9.77307E+01
	+ Event weight (prc) = -1.15603E+02
	+------------------------------------------------------------------------
	+ Selected MCI group = 2
	+ Selected term = 4
	+ Selected channel = 1
	+------------------------------------------------------------------------
	+ Passed selection = T
	+ Reweighting factor = 1.00000E+00
	+ Analysis flag = T
	+========================================================================
	+ Event transform: trivial (hard process)
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431492
	+ calls = 9
	+ Number of tries = 1
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+========================================================================
	+========================================================================
	+ Event transform: NLO
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431493
	+ calls = 7
	+ Number of tries = 0
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+sqme_rad = 3.034761903E-04
	+ i_evaluation = 0
	+------------------------------------------------------------------------
	+ Radiated particle sets:
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 1.871195E+02
	+ P = 4.888583E+01 -1.474098E+01 -4.907493E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.206526E+02
	+ P = -1.258617E+02 -3.525437E+01 4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = 7.697588E+01 4.999534E+01 9.008653E+00
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+========================================================================
	+ Local variables:
	+------------------------------------------------------------------------
	+sqrts* = 5.00000E+02
	+sqrts_hat* => 5.00000E+02
	+n_in* => 2
	+n_out* => 2
	+n_tot* => 4
	+$process_id* => "openloops_3_p2"
	+process_num_id* => [unknown integer]
	+sqme* => -5.17360E-03
	+sqme_ref* => -4.37375E-03
	+event_index* => 1
	+event_weight* => -1.15603E+02
	+event_weight_ref* => -9.77307E+01
	+event_excess* => 0.00000E+00
	+------------------------------------------------------------------------
	+ subevent:
	+ 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	+ 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	+ 3 prt(o:6\| 2.5000000E+02; 1.6597780E+02, 4.6491044E+01,-5.2836666E+01\| 2.9998240E+04\| 3)
	+ 4 prt(o:-6\| 2.5000000E+02;-1.6597780E+02,-4.6491044E+01, 5.2836666E+01\| 2.9998240E+04\| 4)
	+========================================================================
	+========================================================================
	+ Event #1
	+------------------------------------------------------------------------
	+ Unweighted = F
	+ Normalization = 'sigma'
	+ Helicity handling = drop
	+ Keep correlations = F
	+------------------------------------------------------------------------
	+ Squared matrix el. (ref) = -4.37375E-03
	+ Squared matrix el. (prc) = 4.96367E-04
	+ Event weight (ref) = -9.77307E+01
	+ Event weight (prc) = 1.10912E+01
	+------------------------------------------------------------------------
	+ Selected MCI group = 2
	+ Selected term = 4
	+ Selected channel = 1
	+------------------------------------------------------------------------
	+ Passed selection = T
	+ Reweighting factor = 1.00000E+00
	+ Analysis flag = T
	+========================================================================
	+ Event transform: trivial (hard process)
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431492
	+ calls = 9
	+ Number of tries = 1
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+========================================================================
	+========================================================================
	+ Event transform: NLO
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431493
	+ calls = 7
	+ Number of tries = 0
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+sqme_rad = 3.034761903E-04
	+ i_evaluation = 0
	+------------------------------------------------------------------------
	+ Radiated particle sets:
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 1.871195E+02
	+ P = 4.888583E+01 -1.474098E+01 -4.907493E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.206526E+02
	+ P = -1.258617E+02 -3.525437E+01 4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = 7.697588E+01 4.999534E+01 9.008653E+00
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+========================================================================
	+ Local variables:
	+------------------------------------------------------------------------
	+sqrts* = 5.00000E+02
	+sqrts_hat* => 5.00000E+02
	+n_in* => 2
	+n_out* => 3
	+n_tot* => 5
	+$process_id* => "openloops_3_p2"
	+process_num_id* => [unknown integer]
	+sqme* => 4.96367E-04
	+sqme_ref* => -4.37375E-03
	+event_index* => 1
	+event_weight* => 1.10912E+01
	+event_weight_ref* => -9.77307E+01
	+event_excess* => 0.00000E+00
	+------------------------------------------------------------------------
	+ subevent:
	+ 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	+ 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	+ 3 prt(o:6\| 1.8711951E+02; 4.8885826E+01,-1.4740977E+01,-4.9074934E+01\| 2.9998240E+04\| 3)
	+ 4 prt(o:-6\| 2.2065264E+02;-1.2586171E+02,-3.5254367E+01, 4.0066281E+01\| 2.9998240E+04\| 4)
	+ 5 prt(o:21\| 9.2227854E+01; 7.6975885E+01, 4.9995344E+01, 9.0086533E+00\| 0.0000000E+00\| 5)
	+========================================================================
	+========================================================================
	+ Event #1
	+------------------------------------------------------------------------
	+ Unweighted = F
	+ Normalization = 'sigma'
	+ Helicity handling = drop
	+ Keep correlations = F
	+------------------------------------------------------------------------
	+ Squared matrix el. (ref) = -4.37375E-03
	+ Squared matrix el. (prc) = 3.03476E-04
	+ Event weight (ref) = -9.77307E+01
	+ Event weight (prc) = 6.78112E+00
	+------------------------------------------------------------------------
	+ Selected MCI group = 2
	+ Selected term = 4
	+ Selected channel = 1
	+------------------------------------------------------------------------
	+ Passed selection = T
	+ Reweighting factor = 1.00000E+00
	+ Analysis flag = T
	+========================================================================
	+ Event transform: trivial (hard process)
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431492
	+ calls = 9
	+ Number of tries = 1
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+========================================================================
	+========================================================================
	+ Event transform: NLO
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431493
	+ calls = 7
	+ Number of tries = 0
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+sqme_rad = 3.034761903E-04
	+ i_evaluation = 0
	+------------------------------------------------------------------------
	+ Radiated particle sets:
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 1.871195E+02
	+ P = 4.888583E+01 -1.474098E+01 -4.907493E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.206526E+02
	+ P = -1.258617E+02 -3.525437E+01 4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = 7.697588E+01 4.999534E+01 9.008653E+00
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+========================================================================
	+ Local variables:
	+------------------------------------------------------------------------
	+sqrts* = 5.00000E+02
	+sqrts_hat* => 5.00000E+02
	+n_in* => 2
	+n_out* => 3
	+n_tot* => 5
	+$process_id* => "openloops_3_p2"
	+process_num_id* => [unknown integer]
	+sqme* => 3.03476E-04
	+sqme_ref* => -4.37375E-03
	+event_index* => 1
	+event_weight* => 6.78112E+00
	+event_weight_ref* => -9.77307E+01
	+event_excess* => 0.00000E+00
	+------------------------------------------------------------------------
	+ subevent:
	+ 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	+ 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	+ 3 prt(o:6\| 2.2065264E+02; 1.2586171E+02, 3.5254367E+01,-4.0066281E+01\| 2.9998240E+04\| 3)
	+ 4 prt(o:-6\| 1.8711951E+02;-6.8239543E+01, 9.3199232E+00,-1.6491614E+01\| 2.9998240E+04\| 4)
	+ 5 prt(o:21\| 9.2227854E+01;-5.7622167E+01,-4.4574291E+01, 5.6557895E+01\| 0.0000000E+00\| 5)
	+========================================================================
	+========================================================================
	+ Event #1
	+------------------------------------------------------------------------
	+ Unweighted = F
	+ Normalization = 'sigma'
	+ Helicity handling = drop
	+ Keep correlations = F
	+------------------------------------------------------------------------
	+ Squared matrix el. (ref) = 1.22409E-02
	+ Squared matrix el. (prc) = 1.22409E-02
	+ Event weight (ref) = 2.73522E+02
	+ Event weight (prc) = 2.73522E+02
	+------------------------------------------------------------------------
	+ Selected MCI group = 3
	+ Selected term = 5
	+ Selected channel = 1
	+------------------------------------------------------------------------
	+ Passed selection = T
	+ Reweighting factor = 1.00000E+00
	+ Analysis flag = T
	+========================================================================
	+ Event transform: trivial (hard process)
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p3'
	+ TAO random-number generator:
	+ seed = 291241988
	+ calls = 3
	+ Number of tries = 1
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -9.602929E+01 1.904619E+01 -1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 9.602929E+01 -1.904619E+01 1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+========================================================================
	+========================================================================
	+ Event transform: NLO
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p3'
	+ TAO random-number generator:
	+ seed = 291241989
	+ calls = 3
	+ Number of tries = 0
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -9.602929E+01 1.904619E+01 -1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 9.602929E+01 -1.904619E+01 1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+sqme_rad = 0.000000000E+00
	+ i_evaluation = 0
	+------------------------------------------------------------------------
	+ Radiated particle sets:
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -9.602929E+01 1.904619E+01 -1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 9.602929E+01 -1.904619E+01 1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+========================================================================
	+ Local variables:
	+------------------------------------------------------------------------
	+sqrts* = 5.00000E+02
	+sqrts_hat* => 5.00000E+02
	+n_in* => 2
	+n_out* => 2
	+n_tot* => 4
	+$process_id* => "openloops_3_p3"
	+process_num_id* => [unknown integer]
	+sqme* => 1.22409E-02
	+sqme_ref* => 1.22409E-02
	+event_index* => 1
	+event_weight* => 2.73522E+02
	+event_weight_ref* => 2.73522E+02
	+event_excess* => 0.00000E+00
	+------------------------------------------------------------------------
	+ subevent:
	+ 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	+ 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	+ 3 prt(o:6\| 2.5000000E+02;-9.6029292E+01, 1.9046186E+01,-1.5138487E+02\| 2.9998240E+04\| 3)
	+ 4 prt(o:-6\| 2.5000000E+02; 9.6029292E+01,-1.9046186E+01, 1.5138487E+02\| 2.9998240E+04\| 4)
	+========================================================================
	Index: trunk/share/tests/functional_tests/ref-output-quad/openloops_3.ref
	===================================================================
	--- trunk/share/tests/functional_tests/ref-output-quad/openloops_3.ref (revision 0)
	+++ trunk/share/tests/functional_tests/ref-output-quad/openloops_3.ref (revision 8424)
	@@ -0,0 +1,1186 @@
	+?openmp_logging = false
	+?vis_history = false
	+?integration_timer = false
	+?pacify = true
	+$method = "openloops"
	+openmp_num_threads = 1
	+?use_vamp_equivalences = false
	+?alphas_is_fixed = false
	+?alphas_from_mz = true
	+seed = 2222
	+sqrts = 5.00000E+02
	+?debug_decay = false
	+?debug_process = false
	+?debug_verbose = false
	+?sample_pacify = true
	+?write_raw = false
	+?fixed_order_nlo_events = true
	+?negative_weights = true
	+?unweighted = false
	+SM.mtop => 1.73200E+02
	+SM.wtop => 0.00000E+00
	+\| Process library 'openloops_3_lib': recorded process 'openloops_3_p1'
	+\| Integrate: current process library needs compilation
	+\| Process library 'openloops_3_lib': compiling ...
	+\| Process library 'openloops_3_lib': writing makefile
	+\| Process library 'openloops_3_lib': removing old files
	+\| Process library 'openloops_3_lib': writing driver
	+\| Process library 'openloops_3_lib': creating source code
	+\| Process library 'openloops_3_lib': compiling sources
	+\| Process library 'openloops_3_lib': linking
	+\| Process library 'openloops_3_lib': loading
	+\| Process library 'openloops_3_lib': ... success.
	+\| Integrate: compilation done
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 2222
	+\| Initializing integration for process openloops_3_p1:
	+\| Beam structure: [any particles]
	+\| Beam data (collision):
	+\| e+ (mass = 5.1099700E-04 GeV)
	+\| e- (mass = 5.1099700E-04 GeV)
	+\| sqrts = 5.000000000000E+02 GeV
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p1.i1.phs'
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p1.i3.phs'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| ------------------------------------------------------------------------
	+\| Process [scattering]: 'openloops_3_p1'
	+\| Library name = 'openloops_3_lib'
	+\| Process index = 1
	+\| Process components:
	+\| 1: 'openloops_3_p1_i1': e+, e- => t, tbar [openloops]
	+\| 2: 'openloops_3_p1_i2': e+, e- => t, tbar, gl [inactive], [real]
	+\| 3: 'openloops_3_p1_i3': e+, e- => t, tbar [inactive], [virtual]
	+\| 4: 'openloops_3_p1_i4': e+, e- => t, tbar [inactive], [subtraction]
	+\| ------------------------------------------------------------------------
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 5 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+Warning: No cuts have been defined.
	+\| Starting integration for process 'openloops_3_p1' part 'born'
	+\| Integrate: iterations = 1:100
	+\| Integrator: 1 chains, 1 channels, 2 dimensions
	+\| Integrator: 100 initial calls, 20 bins, stratified = T
	+\| Integrator: VAMP
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 100 6.257E+02 2.89E+01 4.61 0.46 55.5
	+\|-----------------------------------------------------------------------------\|
	+ 1 100 6.257E+02 2.89E+01 4.61 0.46 55.5
	+\|=============================================================================\|
	+\| Integrate: sum of all components
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 0 6.257E+02 2.89E+01 4.61 0.00 55.5
	+\| NLO Correction: [O(alpha_s+1)/O(alpha_s)]
	+\| ( 0.0000 +- 0.00000 ) %
	+\|=============================================================================\|
	+n_events = 1
	+\| Starting simulation for process 'openloops_3_p1'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| Simulate: using integration grids from file 'openloops_3_p1.m1.vg'
	+\| Simulate: activating fixed-order NLO events
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 2223
	+\| Events: writing to ASCII file 'openloops_3_p1.debug'
	+\| Events: generating 1 weighted, unpolarized events ...
	+\| Events: event normalization mode 'sigma'
	+\| ... event sample complete.
	+\| Events: closing ASCII file 'openloops_3_p1.debug'
	+seed = 3333
	+\| Process library 'openloops_3_lib': unloading
	+\| Process library 'openloops_3_lib': open
	+\| Process library 'openloops_3_lib': recorded process 'openloops_3_p2'
	+\| Integrate: current process library needs compilation
	+\| Process library 'openloops_3_lib': compiling ...
	+\| Process library 'openloops_3_lib': writing makefile
	+\| Process library 'openloops_3_lib': removing old files
	+\| Process library 'openloops_3_lib': writing driver
	+\| Process library 'openloops_3_lib': creating source code
	+\| Process library 'openloops_3_lib': compiling sources
	+\| Process library 'openloops_3_lib': linking
	+\| Process library 'openloops_3_lib': loading
	+\| Process library 'openloops_3_lib': ... success.
	+\| Integrate: compilation done
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 3333
	+\| Initializing integration for process openloops_3_p2:
	+\| Beam structure: [any particles]
	+\| Beam data (collision):
	+\| e+ (mass = 5.1099700E-04 GeV)
	+\| e- (mass = 5.1099700E-04 GeV)
	+\| sqrts = 5.000000000000E+02 GeV
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p2.i1.phs'
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p2.i3.phs'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| ------------------------------------------------------------------------
	+\| Process [scattering]: 'openloops_3_p2'
	+\| Library name = 'openloops_3_lib'
	+\| Process index = 2
	+\| Process components:
	+\| 1: 'openloops_3_p2_i1': e+, e- => t, tbar [inactive]
	+\| 2: 'openloops_3_p2_i2': e+, e- => t, tbar, gl [openloops], [real]
	+\| 3: 'openloops_3_p2_i3': e+, e- => t, tbar [inactive], [virtual]
	+\| 4: 'openloops_3_p2_i4': e+, e- => t, tbar [inactive], [subtraction]
	+\| ------------------------------------------------------------------------
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 5 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+Warning: No cuts have been defined.
	+\| Starting integration for process 'openloops_3_p2' part 'real'
	+\| Integrate: iterations = 1:100
	+\| Integrator: 1 chains, 1 channels, 5 dimensions
	+\| Integrator: 100 initial calls, 20 bins, stratified = T
	+\| Integrator: VAMP
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 100 -7.301E+01 4.28E+00 5.86 0.59 39.2
	+\|-----------------------------------------------------------------------------\|
	+ 1 100 -7.301E+01 4.28E+00 5.86 0.59 39.2
	+\|=============================================================================\|
	+\| Integrate: sum of all components
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 0 -7.301E+01 4.28E+00 5.86 0.00 0.0
	+\|=============================================================================\|
	+n_events = 1
	+\| Starting simulation for process 'openloops_3_p2'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| Simulate: using integration grids from file 'openloops_3_p2.m2.vg'
	+\| Simulate: activating fixed-order NLO events
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 3334
	+\| Events: writing to ASCII file 'openloops_3_p2.debug'
	+\| Events: generating 3 weighted, unpolarized NLO events ...
	+\| Events: event normalization mode 'sigma'
	+\| ... event sample complete.
	+\| Events: closing ASCII file 'openloops_3_p2.debug'
	+seed = 4444
	+\| Process library 'openloops_3_lib': unloading
	+\| Process library 'openloops_3_lib': open
	+\| Process library 'openloops_3_lib': recorded process 'openloops_3_p3'
	+\| Integrate: current process library needs compilation
	+\| Process library 'openloops_3_lib': compiling ...
	+\| Process library 'openloops_3_lib': writing makefile
	+\| Process library 'openloops_3_lib': removing old files
	+\| Process library 'openloops_3_lib': writing driver
	+\| Process library 'openloops_3_lib': creating source code
	+\| Process library 'openloops_3_lib': compiling sources
	+\| Process library 'openloops_3_lib': linking
	+\| Process library 'openloops_3_lib': loading
	+\| Process library 'openloops_3_lib': ... success.
	+\| Integrate: compilation done
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 4444
	+\| Initializing integration for process openloops_3_p3:
	+\| Beam structure: [any particles]
	+\| Beam data (collision):
	+\| e+ (mass = 5.1099700E-04 GeV)
	+\| e- (mass = 5.1099700E-04 GeV)
	+\| sqrts = 5.000000000000E+02 GeV
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p3.i1.phs'
	+\| Phase space: generating configuration ...
	+\| Phase space: ... success.
	+\| Phase space: writing configuration file 'openloops_3_p3.i3.phs'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| ------------------------------------------------------------------------
	+\| Process [scattering]: 'openloops_3_p3'
	+\| Library name = 'openloops_3_lib'
	+\| Process index = 3
	+\| Process components:
	+\| 1: 'openloops_3_p3_i1': e+, e- => t, tbar [inactive]
	+\| 2: 'openloops_3_p3_i2': e+, e- => t, tbar, gl [inactive], [real]
	+\| 3: 'openloops_3_p3_i3': e+, e- => t, tbar [openloops], [virtual]
	+\| 4: 'openloops_3_p3_i4': e+, e- => t, tbar [inactive], [subtraction]
	+\| ------------------------------------------------------------------------
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 5 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+\| Phase space: 1 channels, 2 dimensions
	+\| Phase space: found 1 channel, collected in 1 grove.
	+\| Phase space: no equivalences between channels used.
	+\| Phase space: wood
	+Warning: No cuts have been defined.
	+\| Starting integration for process 'openloops_3_p3' part 'virtual'
	+\| Integrate: iterations = 1:100
	+\| Integrator: 1 chains, 1 channels, 2 dimensions
	+\| Integrator: 100 initial calls, 20 bins, stratified = T
	+\| Integrator: VAMP
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 100 1.387E+02 7.85E+00 5.66 0.57 44.8
	+\|-----------------------------------------------------------------------------\|
	+ 1 100 1.387E+02 7.85E+00 5.66 0.57 44.8
	+\|=============================================================================\|
	+\| Integrate: sum of all components
	+\|=============================================================================\|
	+\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	+\|=============================================================================\|
	+ 1 0 1.387E+02 7.85E+00 5.66 0.00 44.8
	+\|=============================================================================\|
	+n_events = 1
	+\| Starting simulation for process 'openloops_3_p3'
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| One-Loop-Provider: Using OpenLoops
	+\| Loading library: [...]
	+\| Simulate: using integration grids from file 'openloops_3_p3.m3.vg'
	+\| Simulate: activating fixed-order NLO events
	+\| QCD alpha: using a running strong coupling
	+\| RNG: Initializing TAO random-number generator
	+\| RNG: Setting seed for random-number generator to 4445
	+\| Events: writing to ASCII file 'openloops_3_p3.debug'
	+\| Events: generating 1 weighted, unpolarized events ...
	+\| Events: event normalization mode 'sigma'
	+\| ... event sample complete.
	+\| Events: closing ASCII file 'openloops_3_p3.debug'
	+\| There were no errors and 3 warning(s).
	+\| WHIZARD run finished.
	+\|=============================================================================\|
	+========================================================================
	+ Event #1
	+------------------------------------------------------------------------
	+ Unweighted = F
	+ Normalization = 'sigma'
	+ Helicity handling = drop
	+ Keep correlations = F
	+------------------------------------------------------------------------
	+ Squared matrix el. (ref) = 2.66014E-02
	+ Squared matrix el. (prc) = 2.66014E-02
	+ Event weight (ref) = 5.94404E+02
	+ Event weight (prc) = 5.94404E+02
	+------------------------------------------------------------------------
	+ Selected MCI group = 1
	+ Selected term = 1
	+ Selected channel = 1
	+------------------------------------------------------------------------
	+ Passed selection = T
	+ Reweighting factor = 1.00000E+00
	+ Analysis flag = T
	+========================================================================
	+ Event transform: trivial (hard process)
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p1'
	+ TAO random-number generator:
	+ seed = 145620996
	+ calls = 3
	+ Number of tries = 1
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -3.093375E+01 1.729251E+02 -4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 3.093375E+01 -1.729251E+02 4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+========================================================================
	+========================================================================
	+ Event transform: NLO
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p1'
	+ TAO random-number generator:
	+ seed = 145620997
	+ calls = 3
	+ Number of tries = 0
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -3.093375E+01 1.729251E+02 -4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 3.093375E+01 -1.729251E+02 4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+sqme_rad = 0.000000000E+00
	+ i_evaluation = 0
	+------------------------------------------------------------------------
	+ Radiated particle sets:
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -3.093375E+01 1.729251E+02 -4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 3.093375E+01 -1.729251E+02 4.051886E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+========================================================================
	+ Local variables:
	+------------------------------------------------------------------------
	+sqrts* = 5.00000E+02
	+sqrts_hat* => 5.00000E+02
	+n_in* => 2
	+n_out* => 2
	+n_tot* => 4
	+$process_id* => "openloops_3_p1"
	+process_num_id* => [unknown integer]
	+sqme* => 2.66014E-02
	+sqme_ref* => 2.66014E-02
	+event_index* => 1
	+event_weight* => 5.94404E+02
	+event_weight_ref* => 5.94404E+02
	+event_excess* => 0.00000E+00
	+------------------------------------------------------------------------
	+ subevent:
	+ 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	+ 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	+ 3 prt(o:6\| 2.5000000E+02;-3.0933754E+01, 1.7292509E+02,-4.0518856E+01\| 2.9998240E+04\| 3)
	+ 4 prt(o:-6\| 2.5000000E+02; 3.0933754E+01,-1.7292509E+02, 4.0518856E+01\| 2.9998240E+04\| 4)
	+========================================================================
	+========================================================================
	+ Event #1
	+------------------------------------------------------------------------
	+ Unweighted = F
	+ Normalization = 'sigma'
	+ Helicity handling = drop
	+ Keep correlations = F
	+------------------------------------------------------------------------
	+ Squared matrix el. (ref) = -4.37375E-03
	+ Squared matrix el. (prc) = -5.17360E-03
	+ Event weight (ref) = -9.77307E+01
	+ Event weight (prc) = -1.15603E+02
	+------------------------------------------------------------------------
	+ Selected MCI group = 2
	+ Selected term = 4
	+ Selected channel = 1
	+------------------------------------------------------------------------
	+ Passed selection = T
	+ Reweighting factor = 1.00000E+00
	+ Analysis flag = T
	+========================================================================
	+ Event transform: trivial (hard process)
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431492
	+ calls = 9
	+ Number of tries = 1
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+========================================================================
	+========================================================================
	+ Event transform: NLO
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431493
	+ calls = 7
	+ Number of tries = 0
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+sqme_rad = 3.034761904E-04
	+ i_evaluation = 0
	+------------------------------------------------------------------------
	+ Radiated particle sets:
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 1.871195E+02
	+ P = 4.888583E+01 -1.474098E+01 -4.907493E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.206526E+02
	+ P = -1.258617E+02 -3.525437E+01 4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = 7.697588E+01 4.999534E+01 9.008653E+00
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+========================================================================
	+ Local variables:
	+------------------------------------------------------------------------
	+sqrts* = 5.00000E+02
	+sqrts_hat* => 5.00000E+02
	+n_in* => 2
	+n_out* => 2
	+n_tot* => 4
	+$process_id* => "openloops_3_p2"
	+process_num_id* => [unknown integer]
	+sqme* => -5.17360E-03
	+sqme_ref* => -4.37375E-03
	+event_index* => 1
	+event_weight* => -1.15603E+02
	+event_weight_ref* => -9.77307E+01
	+event_excess* => 0.00000E+00
	+------------------------------------------------------------------------
	+ subevent:
	+ 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	+ 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	+ 3 prt(o:6\| 2.5000000E+02; 1.6597780E+02, 4.6491044E+01,-5.2836666E+01\| 2.9998240E+04\| 3)
	+ 4 prt(o:-6\| 2.5000000E+02;-1.6597780E+02,-4.6491044E+01, 5.2836666E+01\| 2.9998240E+04\| 4)
	+========================================================================
	+========================================================================
	+ Event #1
	+------------------------------------------------------------------------
	+ Unweighted = F
	+ Normalization = 'sigma'
	+ Helicity handling = drop
	+ Keep correlations = F
	+------------------------------------------------------------------------
	+ Squared matrix el. (ref) = -4.37375E-03
	+ Squared matrix el. (prc) = 4.96367E-04
	+ Event weight (ref) = -9.77307E+01
	+ Event weight (prc) = 1.10912E+01
	+------------------------------------------------------------------------
	+ Selected MCI group = 2
	+ Selected term = 4
	+ Selected channel = 1
	+------------------------------------------------------------------------
	+ Passed selection = T
	+ Reweighting factor = 1.00000E+00
	+ Analysis flag = T
	+========================================================================
	+ Event transform: trivial (hard process)
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431492
	+ calls = 9
	+ Number of tries = 1
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+========================================================================
	+========================================================================
	+ Event transform: NLO
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431493
	+ calls = 7
	+ Number of tries = 0
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+sqme_rad = 3.034761904E-04
	+ i_evaluation = 0
	+------------------------------------------------------------------------
	+ Radiated particle sets:
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 1.871195E+02
	+ P = 4.888583E+01 -1.474098E+01 -4.907493E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.206526E+02
	+ P = -1.258617E+02 -3.525437E+01 4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = 7.697588E+01 4.999534E+01 9.008653E+00
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+========================================================================
	+ Local variables:
	+------------------------------------------------------------------------
	+sqrts* = 5.00000E+02
	+sqrts_hat* => 5.00000E+02
	+n_in* => 2
	+n_out* => 3
	+n_tot* => 5
	+$process_id* => "openloops_3_p2"
	+process_num_id* => [unknown integer]
	+sqme* => 4.96367E-04
	+sqme_ref* => -4.37375E-03
	+event_index* => 1
	+event_weight* => 1.10912E+01
	+event_weight_ref* => -9.77307E+01
	+event_excess* => 0.00000E+00
	+------------------------------------------------------------------------
	+ subevent:
	+ 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	+ 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	+ 3 prt(o:6\| 1.8711951E+02; 4.8885826E+01,-1.4740977E+01,-4.9074934E+01\| 2.9998240E+04\| 3)
	+ 4 prt(o:-6\| 2.2065264E+02;-1.2586171E+02,-3.5254367E+01, 4.0066281E+01\| 2.9998240E+04\| 4)
	+ 5 prt(o:21\| 9.2227854E+01; 7.6975885E+01, 4.9995344E+01, 9.0086533E+00\| 0.0000000E+00\| 5)
	+========================================================================
	+========================================================================
	+ Event #1
	+------------------------------------------------------------------------
	+ Unweighted = F
	+ Normalization = 'sigma'
	+ Helicity handling = drop
	+ Keep correlations = F
	+------------------------------------------------------------------------
	+ Squared matrix el. (ref) = -4.37375E-03
	+ Squared matrix el. (prc) = 3.03476E-04
	+ Event weight (ref) = -9.77307E+01
	+ Event weight (prc) = 6.78112E+00
	+------------------------------------------------------------------------
	+ Selected MCI group = 2
	+ Selected term = 4
	+ Selected channel = 1
	+------------------------------------------------------------------------
	+ Passed selection = T
	+ Reweighting factor = 1.00000E+00
	+ Analysis flag = T
	+========================================================================
	+ Event transform: trivial (hard process)
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431492
	+ calls = 9
	+ Number of tries = 1
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+========================================================================
	+========================================================================
	+ Event transform: NLO
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p2'
	+ TAO random-number generator:
	+ seed = 218431493
	+ calls = 7
	+ Number of tries = 0
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+sqme_rad = 3.034761904E-04
	+ i_evaluation = 0
	+------------------------------------------------------------------------
	+ Radiated particle sets:
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = 1.659778E+02 4.649104E+01 -5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = -1.659778E+02 -4.649104E+01 5.283667E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 1.871195E+02
	+ P = 4.888583E+01 -1.474098E+01 -4.907493E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.206526E+02
	+ P = -1.258617E+02 -3.525437E+01 4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = 7.697588E+01 4.999534E+01 9.008653E+00
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4 5
	+ Particle 3 [o] f(6)
	+ E = 2.206526E+02
	+ P = 1.258617E+02 3.525437E+01 -4.006628E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 1.871195E+02
	+ P = -6.823954E+01 9.319923E+00 -1.649161E+01
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 5 [o] f(21)
	+ E = 9.222785E+01
	+ P = -5.762217E+01 -4.457429E+01 5.655790E+01
	+ T = 0.000000000E+00
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+========================================================================
	+ Local variables:
	+------------------------------------------------------------------------
	+sqrts* = 5.00000E+02
	+sqrts_hat* => 5.00000E+02
	+n_in* => 2
	+n_out* => 3
	+n_tot* => 5
	+$process_id* => "openloops_3_p2"
	+process_num_id* => [unknown integer]
	+sqme* => 3.03476E-04
	+sqme_ref* => -4.37375E-03
	+event_index* => 1
	+event_weight* => 6.78112E+00
	+event_weight_ref* => -9.77307E+01
	+event_excess* => 0.00000E+00
	+------------------------------------------------------------------------
	+ subevent:
	+ 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	+ 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	+ 3 prt(o:6\| 2.2065264E+02; 1.2586171E+02, 3.5254367E+01,-4.0066281E+01\| 2.9998240E+04\| 3)
	+ 4 prt(o:-6\| 1.8711951E+02;-6.8239543E+01, 9.3199232E+00,-1.6491614E+01\| 2.9998240E+04\| 4)
	+ 5 prt(o:21\| 9.2227854E+01;-5.7622167E+01,-4.4574291E+01, 5.6557895E+01\| 0.0000000E+00\| 5)
	+========================================================================
	+========================================================================
	+ Event #1
	+------------------------------------------------------------------------
	+ Unweighted = F
	+ Normalization = 'sigma'
	+ Helicity handling = drop
	+ Keep correlations = F
	+------------------------------------------------------------------------
	+ Squared matrix el. (ref) = 1.22409E-02
	+ Squared matrix el. (prc) = 1.22409E-02
	+ Event weight (ref) = 2.73522E+02
	+ Event weight (prc) = 2.73522E+02
	+------------------------------------------------------------------------
	+ Selected MCI group = 3
	+ Selected term = 5
	+ Selected channel = 1
	+------------------------------------------------------------------------
	+ Passed selection = T
	+ Reweighting factor = 1.00000E+00
	+ Analysis flag = T
	+========================================================================
	+ Event transform: trivial (hard process)
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p3'
	+ TAO random-number generator:
	+ seed = 291241988
	+ calls = 3
	+ Number of tries = 1
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -9.602929E+01 1.904619E+01 -1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 9.602929E+01 -1.904619E+01 1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+========================================================================
	+========================================================================
	+ Event transform: NLO
	+------------------------------------------------------------------------
	+ Associated process: 'openloops_3_p3'
	+ TAO random-number generator:
	+ seed = 291241989
	+ calls = 3
	+ Number of tries = 0
	+------------------------------------------------------------------------
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -9.602929E+01 1.904619E+01 -1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 9.602929E+01 -1.904619E+01 1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+sqme_rad = 0.000000000E+00
	+ i_evaluation = 0
	+------------------------------------------------------------------------
	+ Radiated particle sets:
	+ Particle set:
	+------------------------------------------------------------------------
	+ Particle 1 [i] f(-11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 2 [i] f(11)
	+ E = 2.500000E+02
	+ P = 0.000000E+00 0.000000E+00 -2.500000E+02
	+ T = 2.611179340E-07
	+ Children: 3 4
	+ Particle 3 [o] f(6)
	+ E = 2.500000E+02
	+ P = -9.602929E+01 1.904619E+01 -1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+ Particle 4 [o] f(-6)
	+ E = 2.500000E+02
	+ P = 9.602929E+01 -1.904619E+01 1.513849E+02
	+ T = 2.999824000E+04
	+ Parents: 1 2
	+------------------------------------------------------------------------
	+========================================================================
	+ Local variables:
	+------------------------------------------------------------------------
	+sqrts* = 5.00000E+02
	+sqrts_hat* => 5.00000E+02
	+n_in* => 2
	+n_out* => 2
	+n_tot* => 4
	+$process_id* => "openloops_3_p3"
	+process_num_id* => [unknown integer]
	+sqme* => 1.22409E-02
	+sqme_ref* => 1.22409E-02
	+event_index* => 1
	+event_weight* => 2.73522E+02
	+event_weight_ref* => 2.73522E+02
	+event_excess* => 0.00000E+00
	+------------------------------------------------------------------------
	+ subevent:
	+ 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	+ 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	+ 3 prt(o:6\| 2.5000000E+02;-9.6029292E+01, 1.9046186E+01,-1.5138487E+02\| 2.9998240E+04\| 3)
	+ 4 prt(o:-6\| 2.5000000E+02; 9.6029292E+01,-1.9046186E+01, 1.5138487E+02\| 2.9998240E+04\| 4)
	+========================================================================
	Index: trunk/share/tests/functional_tests/ref-output-prec/openloops_3.ref
	===================================================================
	--- trunk/share/tests/functional_tests/ref-output-prec/openloops_3.ref (revision 8423)
	+++ trunk/share/tests/functional_tests/ref-output-prec/openloops_3.ref (revision 8424)
	@@ -1,1186 +0,0 @@
	-?openmp_logging = false
	-?vis_history = false
	-?integration_timer = false
	-?pacify = true
	-$method = "openloops"
	-openmp_num_threads = 1
	-?use_vamp_equivalences = false
	-?alphas_is_fixed = false
	-?alphas_from_mz = true
	-seed = 2222
	-sqrts = 5.00000E+02
	-?debug_decay = false
	-?debug_process = false
	-?debug_verbose = false
	-?sample_pacify = true
	-?write_raw = false
	-?fixed_order_nlo_events = true
	-?negative_weights = true
	-?unweighted = false
	-SM.mtop => 1.73200E+02
	-SM.wtop => 0.00000E+00
	-\| Process library 'openloops_3_lib': recorded process 'openloops_3_p1'
	-\| Integrate: current process library needs compilation
	-\| Process library 'openloops_3_lib': compiling ...
	-\| Process library 'openloops_3_lib': writing makefile
	-\| Process library 'openloops_3_lib': removing old files
	-\| Process library 'openloops_3_lib': writing driver
	-\| Process library 'openloops_3_lib': creating source code
	-\| Process library 'openloops_3_lib': compiling sources
	-\| Process library 'openloops_3_lib': linking
	-\| Process library 'openloops_3_lib': loading
	-\| Process library 'openloops_3_lib': ... success.
	-\| Integrate: compilation done
	-\| QCD alpha: using a running strong coupling
	-\| RNG: Initializing TAO random-number generator
	-\| RNG: Setting seed for random-number generator to 2222
	-\| Initializing integration for process openloops_3_p1:
	-\| Beam structure: [any particles]
	-\| Beam data (collision):
	-\| e+ (mass = 5.1099700E-04 GeV)
	-\| e- (mass = 5.1099700E-04 GeV)
	-\| sqrts = 5.000000000000E+02 GeV
	-\| Phase space: generating configuration ...
	-\| Phase space: ... success.
	-\| Phase space: writing configuration file 'openloops_3_p1.i1.phs'
	-\| Phase space: generating configuration ...
	-\| Phase space: ... success.
	-\| Phase space: writing configuration file 'openloops_3_p1.i3.phs'
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| ------------------------------------------------------------------------
	-\| Process [scattering]: 'openloops_3_p1'
	-\| Library name = 'openloops_3_lib'
	-\| Process index = 1
	-\| Process components:
	-\| 1: 'openloops_3_p1_i1': e+, e- => t, tbar [openloops]
	-\| 2: 'openloops_3_p1_i2': e+, e- => t, tbar, gl [inactive], [real]
	-\| 3: 'openloops_3_p1_i3': e+, e- => t, tbar [inactive], [virtual]
	-\| 4: 'openloops_3_p1_i4': e+, e- => t, tbar [inactive], [subtraction]
	-\| ------------------------------------------------------------------------
	-\| Phase space: 1 channels, 2 dimensions
	-\| Phase space: found 1 channel, collected in 1 grove.
	-\| Phase space: no equivalences between channels used.
	-\| Phase space: wood
	-\| Phase space: 1 channels, 5 dimensions
	-\| Phase space: found 1 channel, collected in 1 grove.
	-\| Phase space: no equivalences between channels used.
	-\| Phase space: wood
	-\| Phase space: 1 channels, 2 dimensions
	-\| Phase space: found 1 channel, collected in 1 grove.
	-\| Phase space: no equivalences between channels used.
	-\| Phase space: wood
	-Warning: No cuts have been defined.
	-\| Starting integration for process 'openloops_3_p1' part 'born'
	-\| Integrate: iterations = 1:100
	-\| Integrator: 1 chains, 1 channels, 2 dimensions
	-\| Integrator: 100 initial calls, 20 bins, stratified = T
	-\| Integrator: VAMP
	-\|=============================================================================\|
	-\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	-\|=============================================================================\|
	- 1 100 6.257E+02 2.89E+01 4.61 0.46 55.5
	-\|-----------------------------------------------------------------------------\|
	- 1 100 6.257E+02 2.89E+01 4.61 0.46 55.5
	-\|=============================================================================\|
	-\| Integrate: sum of all components
	-\|=============================================================================\|
	-\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	-\|=============================================================================\|
	- 1 0 6.257E+02 2.89E+01 4.61 0.00 55.5
	-\| NLO Correction: [O(alpha_s+1)/O(alpha_s)]
	-\| ( 0.0000 +- 0.00000 ) %
	-\|=============================================================================\|
	-n_events = 1
	-\| Starting simulation for process 'openloops_3_p1'
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| Simulate: using integration grids from file 'openloops_3_p1.m1.vg'
	-\| Simulate: activating fixed-order NLO events
	-\| QCD alpha: using a running strong coupling
	-\| RNG: Initializing TAO random-number generator
	-\| RNG: Setting seed for random-number generator to 2223
	-\| Events: writing to ASCII file 'openloops_3_p1.debug'
	-\| Events: generating 1 weighted, unpolarized events ...
	-\| Events: event normalization mode 'sigma'
	-\| ... event sample complete.
	-\| Events: closing ASCII file 'openloops_3_p1.debug'
	-seed = 3333
	-\| Process library 'openloops_3_lib': unloading
	-\| Process library 'openloops_3_lib': open
	-\| Process library 'openloops_3_lib': recorded process 'openloops_3_p2'
	-\| Integrate: current process library needs compilation
	-\| Process library 'openloops_3_lib': compiling ...
	-\| Process library 'openloops_3_lib': writing makefile
	-\| Process library 'openloops_3_lib': removing old files
	-\| Process library 'openloops_3_lib': writing driver
	-\| Process library 'openloops_3_lib': creating source code
	-\| Process library 'openloops_3_lib': compiling sources
	-\| Process library 'openloops_3_lib': linking
	-\| Process library 'openloops_3_lib': loading
	-\| Process library 'openloops_3_lib': ... success.
	-\| Integrate: compilation done
	-\| QCD alpha: using a running strong coupling
	-\| RNG: Initializing TAO random-number generator
	-\| RNG: Setting seed for random-number generator to 3333
	-\| Initializing integration for process openloops_3_p2:
	-\| Beam structure: [any particles]
	-\| Beam data (collision):
	-\| e+ (mass = 5.1099700E-04 GeV)
	-\| e- (mass = 5.1099700E-04 GeV)
	-\| sqrts = 5.000000000000E+02 GeV
	-\| Phase space: generating configuration ...
	-\| Phase space: ... success.
	-\| Phase space: writing configuration file 'openloops_3_p2.i1.phs'
	-\| Phase space: generating configuration ...
	-\| Phase space: ... success.
	-\| Phase space: writing configuration file 'openloops_3_p2.i3.phs'
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| ------------------------------------------------------------------------
	-\| Process [scattering]: 'openloops_3_p2'
	-\| Library name = 'openloops_3_lib'
	-\| Process index = 2
	-\| Process components:
	-\| 1: 'openloops_3_p2_i1': e+, e- => t, tbar [inactive]
	-\| 2: 'openloops_3_p2_i2': e+, e- => t, tbar, gl [openloops], [real]
	-\| 3: 'openloops_3_p2_i3': e+, e- => t, tbar [inactive], [virtual]
	-\| 4: 'openloops_3_p2_i4': e+, e- => t, tbar [inactive], [subtraction]
	-\| ------------------------------------------------------------------------
	-\| Phase space: 1 channels, 2 dimensions
	-\| Phase space: found 1 channel, collected in 1 grove.
	-\| Phase space: no equivalences between channels used.
	-\| Phase space: wood
	-\| Phase space: 1 channels, 5 dimensions
	-\| Phase space: found 1 channel, collected in 1 grove.
	-\| Phase space: no equivalences between channels used.
	-\| Phase space: wood
	-\| Phase space: 1 channels, 2 dimensions
	-\| Phase space: found 1 channel, collected in 1 grove.
	-\| Phase space: no equivalences between channels used.
	-\| Phase space: wood
	-Warning: No cuts have been defined.
	-\| Starting integration for process 'openloops_3_p2' part 'real'
	-\| Integrate: iterations = 1:100
	-\| Integrator: 1 chains, 1 channels, 5 dimensions
	-\| Integrator: 100 initial calls, 20 bins, stratified = T
	-\| Integrator: VAMP
	-\|=============================================================================\|
	-\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	-\|=============================================================================\|
	- 1 100 -7.301E+01 4.28E+00 5.86 0.59 39.2
	-\|-----------------------------------------------------------------------------\|
	- 1 100 -7.301E+01 4.28E+00 5.86 0.59 39.2
	-\|=============================================================================\|
	-\| Integrate: sum of all components
	-\|=============================================================================\|
	-\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	-\|=============================================================================\|
	- 1 0 -7.301E+01 4.28E+00 5.86 0.00 0.0
	-\|=============================================================================\|
	-n_events = 1
	-\| Starting simulation for process 'openloops_3_p2'
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| Simulate: using integration grids from file 'openloops_3_p2.m2.vg'
	-\| Simulate: activating fixed-order NLO events
	-\| QCD alpha: using a running strong coupling
	-\| RNG: Initializing TAO random-number generator
	-\| RNG: Setting seed for random-number generator to 3334
	-\| Events: writing to ASCII file 'openloops_3_p2.debug'
	-\| Events: generating 3 weighted, unpolarized NLO events ...
	-\| Events: event normalization mode 'sigma'
	-\| ... event sample complete.
	-\| Events: closing ASCII file 'openloops_3_p2.debug'
	-seed = 4444
	-\| Process library 'openloops_3_lib': unloading
	-\| Process library 'openloops_3_lib': open
	-\| Process library 'openloops_3_lib': recorded process 'openloops_3_p3'
	-\| Integrate: current process library needs compilation
	-\| Process library 'openloops_3_lib': compiling ...
	-\| Process library 'openloops_3_lib': writing makefile
	-\| Process library 'openloops_3_lib': removing old files
	-\| Process library 'openloops_3_lib': writing driver
	-\| Process library 'openloops_3_lib': creating source code
	-\| Process library 'openloops_3_lib': compiling sources
	-\| Process library 'openloops_3_lib': linking
	-\| Process library 'openloops_3_lib': loading
	-\| Process library 'openloops_3_lib': ... success.
	-\| Integrate: compilation done
	-\| QCD alpha: using a running strong coupling
	-\| RNG: Initializing TAO random-number generator
	-\| RNG: Setting seed for random-number generator to 4444
	-\| Initializing integration for process openloops_3_p3:
	-\| Beam structure: [any particles]
	-\| Beam data (collision):
	-\| e+ (mass = 5.1099700E-04 GeV)
	-\| e- (mass = 5.1099700E-04 GeV)
	-\| sqrts = 5.000000000000E+02 GeV
	-\| Phase space: generating configuration ...
	-\| Phase space: ... success.
	-\| Phase space: writing configuration file 'openloops_3_p3.i1.phs'
	-\| Phase space: generating configuration ...
	-\| Phase space: ... success.
	-\| Phase space: writing configuration file 'openloops_3_p3.i3.phs'
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| ------------------------------------------------------------------------
	-\| Process [scattering]: 'openloops_3_p3'
	-\| Library name = 'openloops_3_lib'
	-\| Process index = 3
	-\| Process components:
	-\| 1: 'openloops_3_p3_i1': e+, e- => t, tbar [inactive]
	-\| 2: 'openloops_3_p3_i2': e+, e- => t, tbar, gl [inactive], [real]
	-\| 3: 'openloops_3_p3_i3': e+, e- => t, tbar [openloops], [virtual]
	-\| 4: 'openloops_3_p3_i4': e+, e- => t, tbar [inactive], [subtraction]
	-\| ------------------------------------------------------------------------
	-\| Phase space: 1 channels, 2 dimensions
	-\| Phase space: found 1 channel, collected in 1 grove.
	-\| Phase space: no equivalences between channels used.
	-\| Phase space: wood
	-\| Phase space: 1 channels, 5 dimensions
	-\| Phase space: found 1 channel, collected in 1 grove.
	-\| Phase space: no equivalences between channels used.
	-\| Phase space: wood
	-\| Phase space: 1 channels, 2 dimensions
	-\| Phase space: found 1 channel, collected in 1 grove.
	-\| Phase space: no equivalences between channels used.
	-\| Phase space: wood
	-Warning: No cuts have been defined.
	-\| Starting integration for process 'openloops_3_p3' part 'virtual'
	-\| Integrate: iterations = 1:100
	-\| Integrator: 1 chains, 1 channels, 2 dimensions
	-\| Integrator: 100 initial calls, 20 bins, stratified = T
	-\| Integrator: VAMP
	-\|=============================================================================\|
	-\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	-\|=============================================================================\|
	- 1 100 1.387E+02 7.85E+00 5.66 0.57 44.8
	-\|-----------------------------------------------------------------------------\|
	- 1 100 1.387E+02 7.85E+00 5.66 0.57 44.8
	-\|=============================================================================\|
	-\| Integrate: sum of all components
	-\|=============================================================================\|
	-\| It Calls Integral[fb] Error[fb] Err[%] Acc Eff[%] Chi2 N[It] \|
	-\|=============================================================================\|
	- 1 0 1.387E+02 7.85E+00 5.66 0.00 44.8
	-\|=============================================================================\|
	-n_events = 1
	-\| Starting simulation for process 'openloops_3_p3'
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| One-Loop-Provider: Using OpenLoops
	-\| Loading library: [...]
	-\| Simulate: using integration grids from file 'openloops_3_p3.m3.vg'
	-\| Simulate: activating fixed-order NLO events
	-\| QCD alpha: using a running strong coupling
	-\| RNG: Initializing TAO random-number generator
	-\| RNG: Setting seed for random-number generator to 4445
	-\| Events: writing to ASCII file 'openloops_3_p3.debug'
	-\| Events: generating 1 weighted, unpolarized events ...
	-\| Events: event normalization mode 'sigma'
	-\| ... event sample complete.
	-\| Events: closing ASCII file 'openloops_3_p3.debug'
	-\| There were no errors and 3 warning(s).
	-\| WHIZARD run finished.
	-\|=============================================================================\|
	-========================================================================
	- Event #1
	-------------------------------------------------------------------------
	- Unweighted = F
	- Normalization = 'sigma'
	- Helicity handling = drop
	- Keep correlations = F
	-------------------------------------------------------------------------
	- Squared matrix el. (ref) = 2.66014E-02
	- Squared matrix el. (prc) = 2.66014E-02
	- Event weight (ref) = 5.94404E+02
	- Event weight (prc) = 5.94404E+02
	-------------------------------------------------------------------------
	- Selected MCI group = 1
	- Selected term = 1
	- Selected channel = 1
	-------------------------------------------------------------------------
	- Passed selection = T
	- Reweighting factor = 1.00000E+00
	- Analysis flag = T
	-========================================================================
	- Event transform: trivial (hard process)
	-------------------------------------------------------------------------
	- Associated process: 'openloops_3_p1'
	- TAO random-number generator:
	- seed = 145620996
	- calls = 3
	- Number of tries = 1
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = -3.093375E+01 1.729251E+02 -4.051886E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = 3.093375E+01 -1.729251E+02 4.051886E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	-========================================================================
	-========================================================================
	- Event transform: NLO
	-------------------------------------------------------------------------
	- Associated process: 'openloops_3_p1'
	- TAO random-number generator:
	- seed = 145620997
	- calls = 3
	- Number of tries = 0
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = -3.093375E+01 1.729251E+02 -4.051886E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = 3.093375E+01 -1.729251E+02 4.051886E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	-sqme_rad = 0.000000000E+00
	- i_evaluation = 0
	-------------------------------------------------------------------------
	- Radiated particle sets:
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = -3.093375E+01 1.729251E+02 -4.051886E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = 3.093375E+01 -1.729251E+02 4.051886E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	-------------------------------------------------------------------------
	-========================================================================
	- Local variables:
	-------------------------------------------------------------------------
	-sqrts* = 5.00000E+02
	-sqrts_hat* => 5.00000E+02
	-n_in* => 2
	-n_out* => 2
	-n_tot* => 4
	-$process_id* => "openloops_3_p1"
	-process_num_id* => [unknown integer]
	-sqme* => 2.66014E-02
	-sqme_ref* => 2.66014E-02
	-event_index* => 1
	-event_weight* => 5.94404E+02
	-event_weight_ref* => 5.94404E+02
	-event_excess* => 0.00000E+00
	-------------------------------------------------------------------------
	- subevent:
	- 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	- 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	- 3 prt(o:6\| 2.5000000E+02;-3.0933754E+01, 1.7292509E+02,-4.0518856E+01\| 2.9998240E+04\| 3)
	- 4 prt(o:-6\| 2.5000000E+02; 3.0933754E+01,-1.7292509E+02, 4.0518856E+01\| 2.9998240E+04\| 4)
	-========================================================================
	-========================================================================
	- Event #1
	-------------------------------------------------------------------------
	- Unweighted = F
	- Normalization = 'sigma'
	- Helicity handling = drop
	- Keep correlations = F
	-------------------------------------------------------------------------
	- Squared matrix el. (ref) = -4.37375E-03
	- Squared matrix el. (prc) = -5.17360E-03
	- Event weight (ref) = -9.77307E+01
	- Event weight (prc) = -1.15603E+02
	-------------------------------------------------------------------------
	- Selected MCI group = 2
	- Selected term = 4
	- Selected channel = 1
	-------------------------------------------------------------------------
	- Passed selection = T
	- Reweighting factor = 1.00000E+00
	- Analysis flag = T
	-========================================================================
	- Event transform: trivial (hard process)
	-------------------------------------------------------------------------
	- Associated process: 'openloops_3_p2'
	- TAO random-number generator:
	- seed = 218431492
	- calls = 9
	- Number of tries = 1
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = 1.659778E+02 4.649104E+01 -5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = -1.659778E+02 -4.649104E+01 5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	-========================================================================
	-========================================================================
	- Event transform: NLO
	-------------------------------------------------------------------------
	- Associated process: 'openloops_3_p2'
	- TAO random-number generator:
	- seed = 218431493
	- calls = 7
	- Number of tries = 0
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 3 [o] f(6)
	- E = 2.206526E+02
	- P = 1.258617E+02 3.525437E+01 -4.006628E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 1.871195E+02
	- P = -6.823954E+01 9.319923E+00 -1.649161E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 5 [o] f(21)
	- E = 9.222785E+01
	- P = -5.762217E+01 -4.457429E+01 5.655790E+01
	- T = 0.000000000E+00
	- Parents: 1 2
	-sqme_rad = 3.034761903E-04
	- i_evaluation = 0
	-------------------------------------------------------------------------
	- Radiated particle sets:
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = 1.659778E+02 4.649104E+01 -5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = -1.659778E+02 -4.649104E+01 5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 3 [o] f(6)
	- E = 1.871195E+02
	- P = 4.888583E+01 -1.474098E+01 -4.907493E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.206526E+02
	- P = -1.258617E+02 -3.525437E+01 4.006628E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 5 [o] f(21)
	- E = 9.222785E+01
	- P = 7.697588E+01 4.999534E+01 9.008653E+00
	- T = 0.000000000E+00
	- Parents: 1 2
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 3 [o] f(6)
	- E = 2.206526E+02
	- P = 1.258617E+02 3.525437E+01 -4.006628E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 1.871195E+02
	- P = -6.823954E+01 9.319923E+00 -1.649161E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 5 [o] f(21)
	- E = 9.222785E+01
	- P = -5.762217E+01 -4.457429E+01 5.655790E+01
	- T = 0.000000000E+00
	- Parents: 1 2
	-------------------------------------------------------------------------
	-========================================================================
	- Local variables:
	-------------------------------------------------------------------------
	-sqrts* = 5.00000E+02
	-sqrts_hat* => 5.00000E+02
	-n_in* => 2
	-n_out* => 2
	-n_tot* => 4
	-$process_id* => "openloops_3_p2"
	-process_num_id* => [unknown integer]
	-sqme* => -5.17360E-03
	-sqme_ref* => -4.37375E-03
	-event_index* => 1
	-event_weight* => -1.15603E+02
	-event_weight_ref* => -9.77307E+01
	-event_excess* => 0.00000E+00
	-------------------------------------------------------------------------
	- subevent:
	- 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	- 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	- 3 prt(o:6\| 2.5000000E+02; 1.6597780E+02, 4.6491044E+01,-5.2836666E+01\| 2.9998240E+04\| 3)
	- 4 prt(o:-6\| 2.5000000E+02;-1.6597780E+02,-4.6491044E+01, 5.2836666E+01\| 2.9998240E+04\| 4)
	-========================================================================
	-========================================================================
	- Event #1
	-------------------------------------------------------------------------
	- Unweighted = F
	- Normalization = 'sigma'
	- Helicity handling = drop
	- Keep correlations = F
	-------------------------------------------------------------------------
	- Squared matrix el. (ref) = -4.37375E-03
	- Squared matrix el. (prc) = 4.96367E-04
	- Event weight (ref) = -9.77307E+01
	- Event weight (prc) = 1.10912E+01
	-------------------------------------------------------------------------
	- Selected MCI group = 2
	- Selected term = 4
	- Selected channel = 1
	-------------------------------------------------------------------------
	- Passed selection = T
	- Reweighting factor = 1.00000E+00
	- Analysis flag = T
	-========================================================================
	- Event transform: trivial (hard process)
	-------------------------------------------------------------------------
	- Associated process: 'openloops_3_p2'
	- TAO random-number generator:
	- seed = 218431492
	- calls = 9
	- Number of tries = 1
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = 1.659778E+02 4.649104E+01 -5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = -1.659778E+02 -4.649104E+01 5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	-========================================================================
	-========================================================================
	- Event transform: NLO
	-------------------------------------------------------------------------
	- Associated process: 'openloops_3_p2'
	- TAO random-number generator:
	- seed = 218431493
	- calls = 7
	- Number of tries = 0
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 3 [o] f(6)
	- E = 2.206526E+02
	- P = 1.258617E+02 3.525437E+01 -4.006628E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 1.871195E+02
	- P = -6.823954E+01 9.319923E+00 -1.649161E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 5 [o] f(21)
	- E = 9.222785E+01
	- P = -5.762217E+01 -4.457429E+01 5.655790E+01
	- T = 0.000000000E+00
	- Parents: 1 2
	-sqme_rad = 3.034761903E-04
	- i_evaluation = 0
	-------------------------------------------------------------------------
	- Radiated particle sets:
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = 1.659778E+02 4.649104E+01 -5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = -1.659778E+02 -4.649104E+01 5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 3 [o] f(6)
	- E = 1.871195E+02
	- P = 4.888583E+01 -1.474098E+01 -4.907493E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.206526E+02
	- P = -1.258617E+02 -3.525437E+01 4.006628E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 5 [o] f(21)
	- E = 9.222785E+01
	- P = 7.697588E+01 4.999534E+01 9.008653E+00
	- T = 0.000000000E+00
	- Parents: 1 2
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 3 [o] f(6)
	- E = 2.206526E+02
	- P = 1.258617E+02 3.525437E+01 -4.006628E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 1.871195E+02
	- P = -6.823954E+01 9.319923E+00 -1.649161E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 5 [o] f(21)
	- E = 9.222785E+01
	- P = -5.762217E+01 -4.457429E+01 5.655790E+01
	- T = 0.000000000E+00
	- Parents: 1 2
	-------------------------------------------------------------------------
	-========================================================================
	- Local variables:
	-------------------------------------------------------------------------
	-sqrts* = 5.00000E+02
	-sqrts_hat* => 5.00000E+02
	-n_in* => 2
	-n_out* => 3
	-n_tot* => 5
	-$process_id* => "openloops_3_p2"
	-process_num_id* => [unknown integer]
	-sqme* => 4.96367E-04
	-sqme_ref* => -4.37375E-03
	-event_index* => 1
	-event_weight* => 1.10912E+01
	-event_weight_ref* => -9.77307E+01
	-event_excess* => 0.00000E+00
	-------------------------------------------------------------------------
	- subevent:
	- 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	- 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	- 3 prt(o:6\| 1.8711951E+02; 4.8885826E+01,-1.4740977E+01,-4.9074934E+01\| 2.9998240E+04\| 3)
	- 4 prt(o:-6\| 2.2065264E+02;-1.2586171E+02,-3.5254367E+01, 4.0066281E+01\| 2.9998240E+04\| 4)
	- 5 prt(o:21\| 9.2227854E+01; 7.6975885E+01, 4.9995344E+01, 9.0086533E+00\| 0.0000000E+00\| 5)
	-========================================================================
	-========================================================================
	- Event #1
	-------------------------------------------------------------------------
	- Unweighted = F
	- Normalization = 'sigma'
	- Helicity handling = drop
	- Keep correlations = F
	-------------------------------------------------------------------------
	- Squared matrix el. (ref) = -4.37375E-03
	- Squared matrix el. (prc) = 3.03476E-04
	- Event weight (ref) = -9.77307E+01
	- Event weight (prc) = 6.78112E+00
	-------------------------------------------------------------------------
	- Selected MCI group = 2
	- Selected term = 4
	- Selected channel = 1
	-------------------------------------------------------------------------
	- Passed selection = T
	- Reweighting factor = 1.00000E+00
	- Analysis flag = T
	-========================================================================
	- Event transform: trivial (hard process)
	-------------------------------------------------------------------------
	- Associated process: 'openloops_3_p2'
	- TAO random-number generator:
	- seed = 218431492
	- calls = 9
	- Number of tries = 1
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = 1.659778E+02 4.649104E+01 -5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = -1.659778E+02 -4.649104E+01 5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	-========================================================================
	-========================================================================
	- Event transform: NLO
	-------------------------------------------------------------------------
	- Associated process: 'openloops_3_p2'
	- TAO random-number generator:
	- seed = 218431493
	- calls = 7
	- Number of tries = 0
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 3 [o] f(6)
	- E = 2.206526E+02
	- P = 1.258617E+02 3.525437E+01 -4.006628E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 1.871195E+02
	- P = -6.823954E+01 9.319923E+00 -1.649161E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 5 [o] f(21)
	- E = 9.222785E+01
	- P = -5.762217E+01 -4.457429E+01 5.655790E+01
	- T = 0.000000000E+00
	- Parents: 1 2
	-sqme_rad = 3.034761903E-04
	- i_evaluation = 0
	-------------------------------------------------------------------------
	- Radiated particle sets:
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = 1.659778E+02 4.649104E+01 -5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = -1.659778E+02 -4.649104E+01 5.283667E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 3 [o] f(6)
	- E = 1.871195E+02
	- P = 4.888583E+01 -1.474098E+01 -4.907493E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.206526E+02
	- P = -1.258617E+02 -3.525437E+01 4.006628E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 5 [o] f(21)
	- E = 9.222785E+01
	- P = 7.697588E+01 4.999534E+01 9.008653E+00
	- T = 0.000000000E+00
	- Parents: 1 2
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4 5
	- Particle 3 [o] f(6)
	- E = 2.206526E+02
	- P = 1.258617E+02 3.525437E+01 -4.006628E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 1.871195E+02
	- P = -6.823954E+01 9.319923E+00 -1.649161E+01
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 5 [o] f(21)
	- E = 9.222785E+01
	- P = -5.762217E+01 -4.457429E+01 5.655790E+01
	- T = 0.000000000E+00
	- Parents: 1 2
	-------------------------------------------------------------------------
	-========================================================================
	- Local variables:
	-------------------------------------------------------------------------
	-sqrts* = 5.00000E+02
	-sqrts_hat* => 5.00000E+02
	-n_in* => 2
	-n_out* => 3
	-n_tot* => 5
	-$process_id* => "openloops_3_p2"
	-process_num_id* => [unknown integer]
	-sqme* => 3.03476E-04
	-sqme_ref* => -4.37375E-03
	-event_index* => 1
	-event_weight* => 6.78112E+00
	-event_weight_ref* => -9.77307E+01
	-event_excess* => 0.00000E+00
	-------------------------------------------------------------------------
	- subevent:
	- 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	- 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	- 3 prt(o:6\| 2.2065264E+02; 1.2586171E+02, 3.5254367E+01,-4.0066281E+01\| 2.9998240E+04\| 3)
	- 4 prt(o:-6\| 1.8711951E+02;-6.8239543E+01, 9.3199232E+00,-1.6491614E+01\| 2.9998240E+04\| 4)
	- 5 prt(o:21\| 9.2227854E+01;-5.7622167E+01,-4.4574291E+01, 5.6557895E+01\| 0.0000000E+00\| 5)
	-========================================================================
	-========================================================================
	- Event #1
	-------------------------------------------------------------------------
	- Unweighted = F
	- Normalization = 'sigma'
	- Helicity handling = drop
	- Keep correlations = F
	-------------------------------------------------------------------------
	- Squared matrix el. (ref) = 1.22409E-02
	- Squared matrix el. (prc) = 1.22409E-02
	- Event weight (ref) = 2.73522E+02
	- Event weight (prc) = 2.73522E+02
	-------------------------------------------------------------------------
	- Selected MCI group = 3
	- Selected term = 5
	- Selected channel = 1
	-------------------------------------------------------------------------
	- Passed selection = T
	- Reweighting factor = 1.00000E+00
	- Analysis flag = T
	-========================================================================
	- Event transform: trivial (hard process)
	-------------------------------------------------------------------------
	- Associated process: 'openloops_3_p3'
	- TAO random-number generator:
	- seed = 291241988
	- calls = 3
	- Number of tries = 1
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = -9.602929E+01 1.904619E+01 -1.513849E+02
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = 9.602929E+01 -1.904619E+01 1.513849E+02
	- T = 2.999824000E+04
	- Parents: 1 2
	-========================================================================
	-========================================================================
	- Event transform: NLO
	-------------------------------------------------------------------------
	- Associated process: 'openloops_3_p3'
	- TAO random-number generator:
	- seed = 291241989
	- calls = 3
	- Number of tries = 0
	-------------------------------------------------------------------------
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = -9.602929E+01 1.904619E+01 -1.513849E+02
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = 9.602929E+01 -1.904619E+01 1.513849E+02
	- T = 2.999824000E+04
	- Parents: 1 2
	-sqme_rad = 0.000000000E+00
	- i_evaluation = 0
	-------------------------------------------------------------------------
	- Radiated particle sets:
	- Particle set:
	-------------------------------------------------------------------------
	- Particle 1 [i] f(-11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 2 [i] f(11)
	- E = 2.500000E+02
	- P = 0.000000E+00 0.000000E+00 -2.500000E+02
	- T = 2.611179340E-07
	- Children: 3 4
	- Particle 3 [o] f(6)
	- E = 2.500000E+02
	- P = -9.602929E+01 1.904619E+01 -1.513849E+02
	- T = 2.999824000E+04
	- Parents: 1 2
	- Particle 4 [o] f(-6)
	- E = 2.500000E+02
	- P = 9.602929E+01 -1.904619E+01 1.513849E+02
	- T = 2.999824000E+04
	- Parents: 1 2
	-------------------------------------------------------------------------
	-========================================================================
	- Local variables:
	-------------------------------------------------------------------------
	-sqrts* = 5.00000E+02
	-sqrts_hat* => 5.00000E+02
	-n_in* => 2
	-n_out* => 2
	-n_tot* => 4
	-$process_id* => "openloops_3_p3"
	-process_num_id* => [unknown integer]
	-sqme* => 1.22409E-02
	-sqme_ref* => 1.22409E-02
	-event_index* => 1
	-event_weight* => 2.73522E+02
	-event_weight_ref* => 2.73522E+02
	-event_excess* => 0.00000E+00
	-------------------------------------------------------------------------
	- subevent:
	- 1 prt(i:-11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00,-2.5000000E+02\| 2.6111793E-07\| 1)
	- 2 prt(i:11\|-2.5000000E+02; 0.0000000E+00, 0.0000000E+00, 2.5000000E+02\| 2.6111793E-07\| 2)
	- 3 prt(o:6\| 2.5000000E+02;-9.6029292E+01, 1.9046186E+01,-1.5138487E+02\| 2.9998240E+04\| 3)
	- 4 prt(o:-6\| 2.5000000E+02; 9.6029292E+01,-1.9046186E+01, 1.5138487E+02\| 2.9998240E+04\| 4)
	-========================================================================

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Expires: Wed, May 14, 11:37 AM (13 h, 56 m)
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Storage Handle: 5111467
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