Index: trunk/src/types/types.nw =================================================================== --- trunk/src/types/types.nw (revision 8512) +++ trunk/src/types/types.nw (revision 8513) @@ -1,7993 +1,7993 @@ %% -*- ess-noweb-default-code-mode: f90-mode; noweb-default-code-mode: f90-mode; -*- % WHIZARD code as NOWEB source: common types and objects %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Sindarin Built-In Types} \includemodulegraph{types} Here, we define a couple of types and objects which are useful both internally for \whizard, and visible to the user, so they correspond to Sindarin types. \begin{description} \item[particle\_specifiers] Expressions for particles and particle alternatives, involving particle names. \item[pdg\_arrays] Integer (PDG) codes for particles. Useful for particle aliases (e.g., 'quark' for $u,d,s$ etc.). \item[jets] Define (pseudo)jets as objects. Functional only if the [[fastjet]] library is linked. (This may change in the future.) \item[subevents] Particle collections built from event records, for use in analysis and other Sindarin expressions \item[analysis] Observables, histograms, and plots. \end{description} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Particle Specifiers} In this module we introduce a type for specifying a particle or particle alternative. In addition to the particle specifiers (strings separated by colons), the type contains an optional flag [[polarized]] and a string [[decay]]. If the [[polarized]] flag is set, particle polarization information should be kept when generating events for this process. If the [[decay]] string is set, it is the ID of a decay process which should be applied to this particle when generating events. In input/output form, the [[polarized]] flag is indicated by an asterisk [[(*)]] in brackets, and the [[decay]] is indicated by its ID in brackets. The [[read]] and [[write]] procedures in this module are not type-bound but generic procedures which handle scalar and array arguments. <<[[particle_specifiers.f90]]>>= <<File header>> module particle_specifiers <<Use strings>> use io_units use diagnostics <<Standard module head>> <<Particle specifiers: public>> <<Particle specifiers: types>> <<Particle specifiers: interfaces>> contains <<Particle specifiers: procedures>> end module particle_specifiers @ %def particle_specifiers @ \subsection{Base type} This is an abstract type which can hold a single particle or an expression. <<Particle specifiers: types>>= type, abstract :: prt_spec_expr_t contains <<Particle specifiers: prt spec expr: TBP>> end type prt_spec_expr_t @ %def prt_expr_t @ Output, as a string. <<Particle specifiers: prt spec expr: TBP>>= procedure (prt_spec_expr_to_string), deferred :: to_string <<Particle specifiers: interfaces>>= abstract interface function prt_spec_expr_to_string (object) result (string) import class(prt_spec_expr_t), intent(in) :: object type(string_t) :: string end function prt_spec_expr_to_string end interface @ %def prt_spec_expr_to_string @ Call an [[expand]] method for all enclosed subexpressions (before handling the current expression). <<Particle specifiers: prt spec expr: TBP>>= procedure (prt_spec_expr_expand_sub), deferred :: expand_sub <<Particle specifiers: interfaces>>= abstract interface subroutine prt_spec_expr_expand_sub (object) import class(prt_spec_expr_t), intent(inout) :: object end subroutine prt_spec_expr_expand_sub end interface @ %def prt_spec_expr_expand_sub @ \subsection{Wrapper type} This wrapper can hold a particle expression of any kind. We need it so we can make variadic arrays. <<Particle specifiers: public>>= public :: prt_expr_t <<Particle specifiers: types>>= type :: prt_expr_t class(prt_spec_expr_t), allocatable :: x contains <<Particle specifiers: prt expr: TBP>> end type prt_expr_t @ %def prt_expr_t @ Output as a string: delegate. <<Particle specifiers: prt expr: TBP>>= procedure :: to_string => prt_expr_to_string <<Particle specifiers: procedures>>= recursive function prt_expr_to_string (object) result (string) class(prt_expr_t), intent(in) :: object type(string_t) :: string if (allocated (object%x)) then string = object%x%to_string () else string = "" end if end function prt_expr_to_string @ %def prt_expr_to_string @ Allocate the expression as a particle specifier and copy the value. <<Particle specifiers: prt expr: TBP>>= procedure :: init_spec => prt_expr_init_spec <<Particle specifiers: procedures>>= subroutine prt_expr_init_spec (object, spec) class(prt_expr_t), intent(out) :: object type(prt_spec_t), intent(in) :: spec allocate (prt_spec_t :: object%x) select type (x => object%x) type is (prt_spec_t) x = spec end select end subroutine prt_expr_init_spec @ %def prt_expr_init_spec @ Allocate as a list/sum and allocate for a given length <<Particle specifiers: prt expr: TBP>>= procedure :: init_list => prt_expr_init_list procedure :: init_sum => prt_expr_init_sum <<Particle specifiers: procedures>>= subroutine prt_expr_init_list (object, n) class(prt_expr_t), intent(out) :: object integer, intent(in) :: n allocate (prt_spec_list_t :: object%x) select type (x => object%x) type is (prt_spec_list_t) allocate (x%expr (n)) end select end subroutine prt_expr_init_list subroutine prt_expr_init_sum (object, n) class(prt_expr_t), intent(out) :: object integer, intent(in) :: n allocate (prt_spec_sum_t :: object%x) select type (x => object%x) type is (prt_spec_sum_t) allocate (x%expr (n)) end select end subroutine prt_expr_init_sum @ %def prt_expr_init_list @ %def prt_expr_init_sum @ Return the number of terms. This is unity, except if the expression is a sum. <<Particle specifiers: prt expr: TBP>>= procedure :: get_n_terms => prt_expr_get_n_terms <<Particle specifiers: procedures>>= function prt_expr_get_n_terms (object) result (n) class(prt_expr_t), intent(in) :: object integer :: n if (allocated (object%x)) then select type (x => object%x) type is (prt_spec_sum_t) n = size (x%expr) class default n = 1 end select else n = 0 end if end function prt_expr_get_n_terms @ %def prt_expr_get_n_terms @ Transform one of the terms, as returned by the previous method, to an array of particle specifiers. The array has more than one entry if the selected term is a list. This makes sense only if the expression has been completely expanded, so the list contains only atoms. <<Particle specifiers: prt expr: TBP>>= procedure :: term_to_array => prt_expr_term_to_array <<Particle specifiers: procedures>>= recursive subroutine prt_expr_term_to_array (object, array, i) class(prt_expr_t), intent(in) :: object type(prt_spec_t), dimension(:), intent(inout), allocatable :: array integer, intent(in) :: i integer :: j if (allocated (array)) deallocate (array) select type (x => object%x) type is (prt_spec_t) allocate (array (1)) array(1) = x type is (prt_spec_list_t) allocate (array (size (x%expr))) do j = 1, size (array) select type (y => x%expr(j)%x) type is (prt_spec_t) array(j) = y end select end do type is (prt_spec_sum_t) call x%expr(i)%term_to_array (array, 1) end select end subroutine prt_expr_term_to_array @ %def prt_expr_term_to_array @ \subsection{The atomic type} The trivial case is a single particle, including optional decay and polarization attributes. \subsubsection{Definition} The particle is unstable if the [[decay]] array is allocated. The [[polarized]] flag and decays may not be set simultaneously. <<Particle specifiers: public>>= public :: prt_spec_t <<Particle specifiers: types>>= type, extends (prt_spec_expr_t) :: prt_spec_t private type(string_t) :: name logical :: polarized = .false. type(string_t), dimension(:), allocatable :: decay contains <<Particle specifiers: prt spec: TBP>> end type prt_spec_t @ %def prt_spec_t @ \subsubsection{I/O} Output. Old-style subroutines. <<Particle specifiers: public>>= public :: prt_spec_write <<Particle specifiers: interfaces>>= interface prt_spec_write module procedure prt_spec_write1 module procedure prt_spec_write2 end interface prt_spec_write <<Particle specifiers: procedures>>= subroutine prt_spec_write1 (object, unit, advance) type(prt_spec_t), intent(in) :: object integer, intent(in), optional :: unit character(len=*), intent(in), optional :: advance character(3) :: adv integer :: u u = given_output_unit (unit) adv = "yes"; if (present (advance)) adv = advance write (u, "(A)", advance = adv) char (object%to_string ()) end subroutine prt_spec_write1 @ %def prt_spec_write1 @ Write an array as a list of particle specifiers. <<Particle specifiers: procedures>>= subroutine prt_spec_write2 (prt_spec, unit, advance) type(prt_spec_t), dimension(:), intent(in) :: prt_spec integer, intent(in), optional :: unit character(len=*), intent(in), optional :: advance character(3) :: adv integer :: u, i u = given_output_unit (unit) adv = "yes"; if (present (advance)) adv = advance do i = 1, size (prt_spec) if (i > 1) write (u, "(A)", advance="no") ", " call prt_spec_write (prt_spec(i), u, advance="no") end do write (u, "(A)", advance = adv) end subroutine prt_spec_write2 @ %def prt_spec_write2 @ Read. Input may be string or array of strings. <<Particle specifiers: public>>= public :: prt_spec_read <<Particle specifiers: interfaces>>= interface prt_spec_read module procedure prt_spec_read1 module procedure prt_spec_read2 end interface prt_spec_read @ Read a single particle specifier <<Particle specifiers: procedures>>= pure subroutine prt_spec_read1 (prt_spec, string) type(prt_spec_t), intent(out) :: prt_spec type(string_t), intent(in) :: string type(string_t) :: arg, buffer integer :: b1, b2, c, n, i b1 = scan (string, "(") b2 = scan (string, ")") if (b1 == 0) then prt_spec%name = trim (adjustl (string)) else prt_spec%name = trim (adjustl (extract (string, 1, b1-1))) arg = trim (adjustl (extract (string, b1+1, b2-1))) if (arg == "*") then prt_spec%polarized = .true. else n = 0 buffer = arg do if (verify (buffer, " ") == 0) exit n = n + 1 c = scan (buffer, "+") if (c == 0) exit buffer = extract (buffer, c+1) end do allocate (prt_spec%decay (n)) buffer = arg do i = 1, n c = scan (buffer, "+") if (c == 0) c = len (buffer) + 1 prt_spec%decay(i) = trim (adjustl (extract (buffer, 1, c-1))) buffer = extract (buffer, c+1) end do end if end if end subroutine prt_spec_read1 @ %def prt_spec_read1 @ Read a particle specifier array, given as a single string. The array is allocated to the correct size. <<Particle specifiers: procedures>>= pure subroutine prt_spec_read2 (prt_spec, string) type(prt_spec_t), dimension(:), intent(out), allocatable :: prt_spec type(string_t), intent(in) :: string type(string_t) :: buffer integer :: c, i, n n = 0 buffer = string do n = n + 1 c = scan (buffer, ",") if (c == 0) exit buffer = extract (buffer, c+1) end do allocate (prt_spec (n)) buffer = string do i = 1, size (prt_spec) c = scan (buffer, ",") if (c == 0) c = len (buffer) + 1 call prt_spec_read (prt_spec(i), & trim (adjustl (extract (buffer, 1, c-1)))) buffer = extract (buffer, c+1) end do end subroutine prt_spec_read2 @ %def prt_spec_read2 @ \subsubsection{Constructor} Initialize a particle specifier. <<Particle specifiers: public>>= public :: new_prt_spec <<Particle specifiers: interfaces>>= interface new_prt_spec module procedure new_prt_spec module procedure new_prt_spec_polarized module procedure new_prt_spec_unstable end interface new_prt_spec <<Particle specifiers: procedures>>= elemental function new_prt_spec (name) result (prt_spec) type(string_t), intent(in) :: name type(prt_spec_t) :: prt_spec prt_spec%name = name end function new_prt_spec elemental function new_prt_spec_polarized (name, polarized) result (prt_spec) type(string_t), intent(in) :: name logical, intent(in) :: polarized type(prt_spec_t) :: prt_spec prt_spec%name = name prt_spec%polarized = polarized end function new_prt_spec_polarized pure function new_prt_spec_unstable (name, decay) result (prt_spec) type(string_t), intent(in) :: name type(string_t), dimension(:), intent(in) :: decay type(prt_spec_t) :: prt_spec prt_spec%name = name allocate (prt_spec%decay (size (decay))) prt_spec%decay = decay end function new_prt_spec_unstable @ %def new_prt_spec @ \subsubsection{Access Methods} Return the particle name without qualifiers <<Particle specifiers: prt spec: TBP>>= procedure :: get_name => prt_spec_get_name <<Particle specifiers: procedures>>= elemental function prt_spec_get_name (prt_spec) result (name) class(prt_spec_t), intent(in) :: prt_spec type(string_t) :: name name = prt_spec%name end function prt_spec_get_name @ %def prt_spec_get_name @ Return the name with qualifiers <<Particle specifiers: prt spec: TBP>>= procedure :: to_string => prt_spec_to_string <<Particle specifiers: procedures>>= function prt_spec_to_string (object) result (string) class(prt_spec_t), intent(in) :: object type(string_t) :: string integer :: i string = object%name if (allocated (object%decay)) then string = string // "(" do i = 1, size (object%decay) if (i > 1) string = string // " + " string = string // object%decay(i) end do string = string // ")" else if (object%polarized) then string = string // "(*)" end if end function prt_spec_to_string @ %def prt_spec_to_string @ Return the polarization flag <<Particle specifiers: prt spec: TBP>>= procedure :: is_polarized => prt_spec_is_polarized <<Particle specifiers: procedures>>= elemental function prt_spec_is_polarized (prt_spec) result (flag) class(prt_spec_t), intent(in) :: prt_spec logical :: flag flag = prt_spec%polarized end function prt_spec_is_polarized @ %def prt_spec_is_polarized @ The particle is unstable if there is a decay array. <<Particle specifiers: prt spec: TBP>>= procedure :: is_unstable => prt_spec_is_unstable <<Particle specifiers: procedures>>= elemental function prt_spec_is_unstable (prt_spec) result (flag) class(prt_spec_t), intent(in) :: prt_spec logical :: flag flag = allocated (prt_spec%decay) end function prt_spec_is_unstable @ %def prt_spec_is_unstable @ Return the number of decay channels <<Particle specifiers: prt spec: TBP>>= procedure :: get_n_decays => prt_spec_get_n_decays <<Particle specifiers: procedures>>= elemental function prt_spec_get_n_decays (prt_spec) result (n) class(prt_spec_t), intent(in) :: prt_spec integer :: n if (allocated (prt_spec%decay)) then n = size (prt_spec%decay) else n = 0 end if end function prt_spec_get_n_decays @ %def prt_spec_get_n_decays @ Return the decay channels <<Particle specifiers: prt spec: TBP>>= procedure :: get_decays => prt_spec_get_decays <<Particle specifiers: procedures>>= subroutine prt_spec_get_decays (prt_spec, decay) class(prt_spec_t), intent(in) :: prt_spec type(string_t), dimension(:), allocatable, intent(out) :: decay if (allocated (prt_spec%decay)) then allocate (decay (size (prt_spec%decay))) decay = prt_spec%decay else allocate (decay (0)) end if end subroutine prt_spec_get_decays @ %def prt_spec_get_decays @ \subsubsection{Miscellaneous} There is nothing to expand here: <<Particle specifiers: prt spec: TBP>>= procedure :: expand_sub => prt_spec_expand_sub <<Particle specifiers: procedures>>= subroutine prt_spec_expand_sub (object) class(prt_spec_t), intent(inout) :: object end subroutine prt_spec_expand_sub @ %def prt_spec_expand_sub @ \subsection{List} A list of particle specifiers, indicating, e.g., the final state of a process. <<Particle specifiers: public>>= public :: prt_spec_list_t <<Particle specifiers: types>>= type, extends (prt_spec_expr_t) :: prt_spec_list_t type(prt_expr_t), dimension(:), allocatable :: expr contains <<Particle specifiers: prt spec list: TBP>> end type prt_spec_list_t @ %def prt_spec_list_t @ Output: Concatenate the components. Insert brackets if the component is also a list. The components of the [[expr]] array, if any, should all be filled. <<Particle specifiers: prt spec list: TBP>>= procedure :: to_string => prt_spec_list_to_string <<Particle specifiers: procedures>>= recursive function prt_spec_list_to_string (object) result (string) class(prt_spec_list_t), intent(in) :: object type(string_t) :: string integer :: i string = "" if (allocated (object%expr)) then do i = 1, size (object%expr) if (i > 1) string = string // ", " select type (x => object%expr(i)%x) type is (prt_spec_list_t) string = string // "(" // x%to_string () // ")" class default string = string // x%to_string () end select end do end if end function prt_spec_list_to_string @ %def prt_spec_list_to_string @ Flatten: if there is a subexpression which is also a list, include the components as direct members of the current list. <<Particle specifiers: prt spec list: TBP>>= procedure :: flatten => prt_spec_list_flatten <<Particle specifiers: procedures>>= subroutine prt_spec_list_flatten (object) class(prt_spec_list_t), intent(inout) :: object type(prt_expr_t), dimension(:), allocatable :: tmp_expr integer :: i, n_flat, i_flat n_flat = 0 do i = 1, size (object%expr) select type (y => object%expr(i)%x) type is (prt_spec_list_t) n_flat = n_flat + size (y%expr) class default n_flat = n_flat + 1 end select end do if (n_flat > size (object%expr)) then allocate (tmp_expr (n_flat)) i_flat = 0 do i = 1, size (object%expr) select type (y => object%expr(i)%x) type is (prt_spec_list_t) tmp_expr (i_flat + 1 : i_flat + size (y%expr)) = y%expr i_flat = i_flat + size (y%expr) class default tmp_expr (i_flat + 1) = object%expr(i) i_flat = i_flat + 1 end select end do end if if (allocated (tmp_expr)) & call move_alloc (from = tmp_expr, to = object%expr) end subroutine prt_spec_list_flatten @ %def prt_spec_list_flatten @ Convert a list of sums into a sum of lists. (Subexpressions which are not sums are left untouched.) <<Particle specifiers: procedures>>= subroutine distribute_prt_spec_list (object) class(prt_spec_expr_t), intent(inout), allocatable :: object class(prt_spec_expr_t), allocatable :: new_object integer, dimension(:), allocatable :: n, ii integer :: k, n_expr, n_terms, i_term select type (object) type is (prt_spec_list_t) n_expr = size (object%expr) allocate (n (n_expr), source = 1) allocate (ii (n_expr), source = 1) do k = 1, size (object%expr) select type (y => object%expr(k)%x) type is (prt_spec_sum_t) n(k) = size (y%expr) end select end do n_terms = product (n) if (n_terms > 1) then allocate (prt_spec_sum_t :: new_object) select type (new_object) type is (prt_spec_sum_t) allocate (new_object%expr (n_terms)) do i_term = 1, n_terms allocate (prt_spec_list_t :: new_object%expr(i_term)%x) select type (x => new_object%expr(i_term)%x) type is (prt_spec_list_t) allocate (x%expr (n_expr)) do k = 1, n_expr select type (y => object%expr(k)%x) type is (prt_spec_sum_t) x%expr(k) = y%expr(ii(k)) class default x%expr(k) = object%expr(k) end select end do end select INCR_INDEX: do k = n_expr, 1, -1 if (ii(k) < n(k)) then ii(k) = ii(k) + 1 exit INCR_INDEX else ii(k) = 1 end if end do INCR_INDEX end do end select end if end select if (allocated (new_object)) call move_alloc (from = new_object, to = object) end subroutine distribute_prt_spec_list @ %def distribute_prt_spec_list @ Apply [[expand]] to all components of the list. <<Particle specifiers: prt spec list: TBP>>= procedure :: expand_sub => prt_spec_list_expand_sub <<Particle specifiers: procedures>>= recursive subroutine prt_spec_list_expand_sub (object) class(prt_spec_list_t), intent(inout) :: object integer :: i if (allocated (object%expr)) then do i = 1, size (object%expr) call object%expr(i)%expand () end do end if end subroutine prt_spec_list_expand_sub @ %def prt_spec_list_expand_sub @ \subsection{Sum} A sum of particle specifiers, indicating, e.g., a sum of final states. <<Particle specifiers: public>>= public :: prt_spec_sum_t <<Particle specifiers: types>>= type, extends (prt_spec_expr_t) :: prt_spec_sum_t type(prt_expr_t), dimension(:), allocatable :: expr contains <<Particle specifiers: prt spec sum: TBP>> end type prt_spec_sum_t @ %def prt_spec_sum_t @ Output: Concatenate the components. Insert brackets if the component is a list or also a sum. The components of the [[expr]] array, if any, should all be filled. <<Particle specifiers: prt spec sum: TBP>>= procedure :: to_string => prt_spec_sum_to_string <<Particle specifiers: procedures>>= recursive function prt_spec_sum_to_string (object) result (string) class(prt_spec_sum_t), intent(in) :: object type(string_t) :: string integer :: i string = "" if (allocated (object%expr)) then do i = 1, size (object%expr) if (i > 1) string = string // " + " select type (x => object%expr(i)%x) type is (prt_spec_list_t) string = string // "(" // x%to_string () // ")" type is (prt_spec_sum_t) string = string // "(" // x%to_string () // ")" class default string = string // x%to_string () end select end do end if end function prt_spec_sum_to_string @ %def prt_spec_sum_to_string @ Flatten: if there is a subexpression which is also a sum, include the components as direct members of the current sum. This is identical to [[prt_spec_list_flatten]] above, except for the type. <<Particle specifiers: prt spec sum: TBP>>= procedure :: flatten => prt_spec_sum_flatten <<Particle specifiers: procedures>>= subroutine prt_spec_sum_flatten (object) class(prt_spec_sum_t), intent(inout) :: object type(prt_expr_t), dimension(:), allocatable :: tmp_expr integer :: i, n_flat, i_flat n_flat = 0 do i = 1, size (object%expr) select type (y => object%expr(i)%x) type is (prt_spec_sum_t) n_flat = n_flat + size (y%expr) class default n_flat = n_flat + 1 end select end do if (n_flat > size (object%expr)) then allocate (tmp_expr (n_flat)) i_flat = 0 do i = 1, size (object%expr) select type (y => object%expr(i)%x) type is (prt_spec_sum_t) tmp_expr (i_flat + 1 : i_flat + size (y%expr)) = y%expr i_flat = i_flat + size (y%expr) class default tmp_expr (i_flat + 1) = object%expr(i) i_flat = i_flat + 1 end select end do end if if (allocated (tmp_expr)) & call move_alloc (from = tmp_expr, to = object%expr) end subroutine prt_spec_sum_flatten @ %def prt_spec_sum_flatten @ Apply [[expand]] to all terms in the sum. <<Particle specifiers: prt spec sum: TBP>>= procedure :: expand_sub => prt_spec_sum_expand_sub <<Particle specifiers: procedures>>= recursive subroutine prt_spec_sum_expand_sub (object) class(prt_spec_sum_t), intent(inout) :: object integer :: i if (allocated (object%expr)) then do i = 1, size (object%expr) call object%expr(i)%expand () end do end if end subroutine prt_spec_sum_expand_sub @ %def prt_spec_sum_expand_sub @ \subsection{Expression Expansion} The [[expand]] method transforms each particle specifier expression into a sum of lists, according to the rules \begin{align} a, (b, c) &\to a, b, c \\ a + (b + c) &\to a + b + c \\ a, b + c &\to (a, b) + (a, c) \end{align} Note that the precedence of comma and plus are opposite to this expansion, so the parentheses in the final expression are necessary. We assume that subexpressions are filled, i.e., arrays are allocated. <<Particle specifiers: prt expr: TBP>>= procedure :: expand => prt_expr_expand <<Particle specifiers: procedures>>= recursive subroutine prt_expr_expand (expr) class(prt_expr_t), intent(inout) :: expr if (allocated (expr%x)) then call distribute_prt_spec_list (expr%x) call expr%x%expand_sub () select type (x => expr%x) type is (prt_spec_list_t) call x%flatten () type is (prt_spec_sum_t) call x%flatten () end select end if end subroutine prt_expr_expand @ %def prt_expr_expand @ \subsection{Unit Tests} Test module, followed by the corresponding implementation module. <<[[particle_specifiers_ut.f90]]>>= <<File header>> module particle_specifiers_ut use unit_tests use particle_specifiers_uti <<Standard module head>> <<Particle specifiers: public test>> contains <<Particle specifiers: test driver>> end module particle_specifiers_ut @ %def particle_specifiers_ut @ <<[[particle_specifiers_uti.f90]]>>= <<File header>> module particle_specifiers_uti <<Use strings>> use particle_specifiers <<Standard module head>> <<Particle specifiers: test declarations>> contains <<Particle specifiers: tests>> end module particle_specifiers_uti @ %def particle_specifiers_ut @ API: driver for the unit tests below. <<Particle specifiers: public test>>= public :: particle_specifiers_test <<Particle specifiers: test driver>>= subroutine particle_specifiers_test (u, results) integer, intent(in) :: u type(test_results_t), intent(inout) :: results <<Particle specifiers: execute tests>> end subroutine particle_specifiers_test @ %def particle_specifiers_test @ \subsubsection{Particle specifier array} Define, read and write an array of particle specifiers. <<Particle specifiers: execute tests>>= call test (particle_specifiers_1, "particle_specifiers_1", & "Handle particle specifiers", & u, results) <<Particle specifiers: test declarations>>= public :: particle_specifiers_1 <<Particle specifiers: tests>>= subroutine particle_specifiers_1 (u) integer, intent(in) :: u type(prt_spec_t), dimension(:), allocatable :: prt_spec type(string_t), dimension(:), allocatable :: decay type(string_t), dimension(0) :: no_decay integer :: i, j write (u, "(A)") "* Test output: particle_specifiers_1" write (u, "(A)") "* Purpose: Read and write a particle specifier array" write (u, "(A)") allocate (prt_spec (5)) prt_spec = [ & new_prt_spec (var_str ("a")), & new_prt_spec (var_str ("b"), .true.), & new_prt_spec (var_str ("c"), [var_str ("dec1")]), & new_prt_spec (var_str ("d"), [var_str ("dec1"), var_str ("dec2")]), & new_prt_spec (var_str ("e"), no_decay) & ] do i = 1, size (prt_spec) write (u, "(A)") char (prt_spec(i)%to_string ()) end do write (u, "(A)") call prt_spec_read (prt_spec, & var_str (" a, b( *), c( dec1), d (dec1 + dec2 ), e()")) call prt_spec_write (prt_spec, u) do i = 1, size (prt_spec) write (u, "(A)") write (u, "(A,A)") char (prt_spec(i)%get_name ()), ":" write (u, "(A,L1)") "polarized = ", prt_spec(i)%is_polarized () write (u, "(A,L1)") "unstable = ", prt_spec(i)%is_unstable () write (u, "(A,I0)") "n_decays = ", prt_spec(i)%get_n_decays () call prt_spec(i)%get_decays (decay) write (u, "(A)", advance="no") "decays =" do j = 1, size (decay) write (u, "(1x,A)", advance="no") char (decay(j)) end do write (u, "(A)") end do write (u, "(A)") write (u, "(A)") "* Test output end: particle_specifiers_1" end subroutine particle_specifiers_1 @ %def particle_specifiers_1 @ \subsubsection{Particle specifier expressions} Nested expressions (only basic particles, no decay specs). <<Particle specifiers: execute tests>>= call test (particle_specifiers_2, "particle_specifiers_2", & "Particle specifier expressions", & u, results) <<Particle specifiers: test declarations>>= public :: particle_specifiers_2 <<Particle specifiers: tests>>= subroutine particle_specifiers_2 (u) integer, intent(in) :: u type(prt_spec_t) :: a, b, c, d, e, f type(prt_expr_t) :: pe1, pe2, pe3 type(prt_expr_t) :: pe4, pe5, pe6, pe7, pe8, pe9 integer :: i type(prt_spec_t), dimension(:), allocatable :: pa write (u, "(A)") "* Test output: particle_specifiers_2" write (u, "(A)") "* Purpose: Create and display particle expressions" write (u, "(A)") write (u, "(A)") "* Basic expressions" write (u, *) a = new_prt_spec (var_str ("a")) b = new_prt_spec (var_str ("b")) c = new_prt_spec (var_str ("c")) d = new_prt_spec (var_str ("d")) e = new_prt_spec (var_str ("e")) f = new_prt_spec (var_str ("f")) call pe1%init_spec (a) write (u, "(A)") char (pe1%to_string ()) call pe2%init_sum (2) select type (x => pe2%x) type is (prt_spec_sum_t) call x%expr(1)%init_spec (a) call x%expr(2)%init_spec (b) end select write (u, "(A)") char (pe2%to_string ()) call pe3%init_list (2) select type (x => pe3%x) type is (prt_spec_list_t) call x%expr(1)%init_spec (a) call x%expr(2)%init_spec (b) end select write (u, "(A)") char (pe3%to_string ()) write (u, *) write (u, "(A)") "* Nested expressions" write (u, *) call pe4%init_list (2) select type (x => pe4%x) type is (prt_spec_list_t) call x%expr(1)%init_sum (2) select type (y => x%expr(1)%x) type is (prt_spec_sum_t) call y%expr(1)%init_spec (a) call y%expr(2)%init_spec (b) end select call x%expr(2)%init_spec (c) end select write (u, "(A)") char (pe4%to_string ()) call pe5%init_list (2) select type (x => pe5%x) type is (prt_spec_list_t) call x%expr(1)%init_list (2) select type (y => x%expr(1)%x) type is (prt_spec_list_t) call y%expr(1)%init_spec (a) call y%expr(2)%init_spec (b) end select call x%expr(2)%init_spec (c) end select write (u, "(A)") char (pe5%to_string ()) call pe6%init_sum (2) select type (x => pe6%x) type is (prt_spec_sum_t) call x%expr(1)%init_spec (a) call x%expr(2)%init_sum (2) select type (y => x%expr(2)%x) type is (prt_spec_sum_t) call y%expr(1)%init_spec (b) call y%expr(2)%init_spec (c) end select end select write (u, "(A)") char (pe6%to_string ()) call pe7%init_list (2) select type (x => pe7%x) type is (prt_spec_list_t) call x%expr(1)%init_sum (2) select type (y => x%expr(1)%x) type is (prt_spec_sum_t) call y%expr(1)%init_spec (a) call y%expr(2)%init_list (2) select type (z => y%expr(2)%x) type is (prt_spec_list_t) call z%expr(1)%init_spec (b) call z%expr(2)%init_spec (c) end select end select call x%expr(2)%init_spec (d) end select write (u, "(A)") char (pe7%to_string ()) call pe8%init_sum (2) select type (x => pe8%x) type is (prt_spec_sum_t) call x%expr(1)%init_list (2) select type (y => x%expr(1)%x) type is (prt_spec_list_t) call y%expr(1)%init_spec (a) call y%expr(2)%init_spec (b) end select call x%expr(2)%init_list (2) select type (y => x%expr(2)%x) type is (prt_spec_list_t) call y%expr(1)%init_spec (c) call y%expr(2)%init_spec (d) end select end select write (u, "(A)") char (pe8%to_string ()) call pe9%init_list (3) select type (x => pe9%x) type is (prt_spec_list_t) call x%expr(1)%init_sum (2) select type (y => x%expr(1)%x) type is (prt_spec_sum_t) call y%expr(1)%init_spec (a) call y%expr(2)%init_spec (b) end select call x%expr(2)%init_spec (c) call x%expr(3)%init_sum (3) select type (y => x%expr(3)%x) type is (prt_spec_sum_t) call y%expr(1)%init_spec (d) call y%expr(2)%init_spec (e) call y%expr(3)%init_spec (f) end select end select write (u, "(A)") char (pe9%to_string ()) write (u, *) write (u, "(A)") "* Expand as sum" write (u, *) call pe1%expand () write (u, "(A)") char (pe1%to_string ()) call pe4%expand () write (u, "(A)") char (pe4%to_string ()) call pe5%expand () write (u, "(A)") char (pe5%to_string ()) call pe6%expand () write (u, "(A)") char (pe6%to_string ()) call pe7%expand () write (u, "(A)") char (pe7%to_string ()) call pe8%expand () write (u, "(A)") char (pe8%to_string ()) call pe9%expand () write (u, "(A)") char (pe9%to_string ()) write (u, *) write (u, "(A)") "* Transform to arrays:" write (u, "(A)") "* Atomic specifier" do i = 1, pe1%get_n_terms () call pe1%term_to_array (pa, i) call prt_spec_write (pa, u) end do write (u, *) write (u, "(A)") "* List" do i = 1, pe5%get_n_terms () call pe5%term_to_array (pa, i) call prt_spec_write (pa, u) end do write (u, *) write (u, "(A)") "* Sum of atoms" do i = 1, pe6%get_n_terms () call pe6%term_to_array (pa, i) call prt_spec_write (pa, u) end do write (u, *) write (u, "(A)") "* Sum of lists" do i = 1, pe9%get_n_terms () call pe9%term_to_array (pa, i) call prt_spec_write (pa, u) end do write (u, "(A)") write (u, "(A)") "* Test output end: particle_specifiers_2" end subroutine particle_specifiers_2 @ %def particle_specifiers_2 @ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{PDG arrays} For defining aliases, we introduce a special type which holds a set of (integer) PDG codes. <<[[pdg_arrays.f90]]>>= <<File header>> module pdg_arrays use io_units use sorting use physics_defs, only: UNDEFINED <<Standard module head>> <<PDG arrays: public>> <<PDG arrays: types>> <<PDG arrays: interfaces>> contains <<PDG arrays: procedures>> end module pdg_arrays @ %def pdg_arrays @ \subsection{Type definition} Using an allocatable array eliminates the need for initializer and/or finalizer. <<PDG arrays: public>>= public :: pdg_array_t <<PDG arrays: types>>= type :: pdg_array_t private integer, dimension(:), allocatable :: pdg contains <<PDG arrays: pdg array: TBP>> end type pdg_array_t @ %def pdg_array_t @ Output <<PDG arrays: public>>= public :: pdg_array_write <<PDG arrays: pdg array: TBP>>= procedure :: write => pdg_array_write <<PDG arrays: procedures>>= subroutine pdg_array_write (aval, unit) class(pdg_array_t), intent(in) :: aval integer, intent(in), optional :: unit integer :: u, i u = given_output_unit (unit); if (u < 0) return write (u, "(A)", advance="no") "PDG(" if (allocated (aval%pdg)) then do i = 1, size (aval%pdg) if (i > 1) write (u, "(A)", advance="no") ", " write (u, "(I0)", advance="no") aval%pdg(i) end do end if write (u, "(A)", advance="no") ")" end subroutine pdg_array_write @ %def pdg_array_write @ <<PDG arrays: public>>= public :: pdg_array_write_set <<PDG arrays: procedures>>= subroutine pdg_array_write_set (aval, unit) type(pdg_array_t), intent(in), dimension(:) :: aval integer, intent(in), optional :: unit integer :: i do i = 1, size (aval) call aval(i)%write (unit) print *, '' end do end subroutine pdg_array_write_set @ %def pdg_array_write_set @ \subsection{Basic operations} Assignment. We define assignment from and to an integer array. Note that the integer array, if it is the l.h.s., must be declared allocatable by the caller. <<PDG arrays: public>>= public :: assignment(=) <<PDG arrays: interfaces>>= interface assignment(=) module procedure pdg_array_from_int_array module procedure pdg_array_from_int module procedure int_array_from_pdg_array end interface <<PDG arrays: procedures>>= subroutine pdg_array_from_int_array (aval, iarray) type(pdg_array_t), intent(out) :: aval integer, dimension(:), intent(in) :: iarray allocate (aval%pdg (size (iarray))) aval%pdg = iarray end subroutine pdg_array_from_int_array elemental subroutine pdg_array_from_int (aval, int) type(pdg_array_t), intent(out) :: aval integer, intent(in) :: int allocate (aval%pdg (1)) aval%pdg = int end subroutine pdg_array_from_int subroutine int_array_from_pdg_array (iarray, aval) integer, dimension(:), allocatable, intent(out) :: iarray type(pdg_array_t), intent(in) :: aval if (allocated (aval%pdg)) then allocate (iarray (size (aval%pdg))) iarray = aval%pdg else allocate (iarray (0)) end if end subroutine int_array_from_pdg_array @ %def pdg_array_from_int_array pdg_array_from_int int_array_from_pdg_array @ Allocate space for a PDG array <<PDG arrays: public>>= public :: pdg_array_init <<PDG arrays: procedures>>= subroutine pdg_array_init (aval, n_elements) type(pdg_array_t), intent(inout) :: aval integer, intent(in) :: n_elements allocate(aval%pdg(n_elements)) end subroutine pdg_array_init @ %def pdg_array_init @ Deallocate a previously allocated pdg array <<PDG arrays: public>>= public :: pdg_array_delete <<PDG arrays: procedures>>= subroutine pdg_array_delete (aval) type(pdg_array_t), intent(inout) :: aval if (allocated (aval%pdg)) deallocate (aval%pdg) end subroutine pdg_array_delete @ %def pdg_array_delete @ Merge two pdg arrays, i.e. append a particle string to another leaving out doublettes <<PDG arrays: public>>= public :: pdg_array_merge <<PDG arrays: procedures>>= subroutine pdg_array_merge (aval1, aval2) type(pdg_array_t), intent(inout) :: aval1 type(pdg_array_t), intent(in) :: aval2 type(pdg_array_t) :: aval if (allocated (aval1%pdg) .and. allocated (aval2%pdg)) then if (.not. any (aval1%pdg == aval2%pdg)) aval = aval1 // aval2 else if (allocated (aval1%pdg)) then aval = aval1 else if (allocated (aval2%pdg)) then aval = aval2 end if call pdg_array_delete (aval1) aval1 = aval%pdg end subroutine pdg_array_merge @ %def pdg_array_merge @ Length of the array. <<PDG arrays: public>>= public :: pdg_array_get_length <<PDG arrays: pdg array: TBP>>= procedure :: get_length => pdg_array_get_length <<PDG arrays: procedures>>= elemental function pdg_array_get_length (aval) result (n) class(pdg_array_t), intent(in) :: aval integer :: n if (allocated (aval%pdg)) then n = size (aval%pdg) else n = 0 end if end function pdg_array_get_length @ %def pdg_array_get_length @ Return the element with index i. <<PDG arrays: public>>= public :: pdg_array_get <<PDG arrays: pdg array: TBP>>= procedure :: get => pdg_array_get <<PDG arrays: procedures>>= elemental function pdg_array_get (aval, i) result (pdg) class(pdg_array_t), intent(in) :: aval integer, intent(in), optional :: i integer :: pdg if (present (i)) then pdg = aval%pdg(i) else pdg = aval%pdg(1) end if end function pdg_array_get @ %def pdg_array_get @ Explicitly set the element with index i. <<PDG arrays: pdg array: TBP>>= procedure :: set => pdg_array_set <<PDG arrays: procedures>>= subroutine pdg_array_set (aval, i, pdg) class(pdg_array_t), intent(inout) :: aval integer, intent(in) :: i integer, intent(in) :: pdg aval%pdg(i) = pdg end subroutine pdg_array_set @ %def pdg_array_set @ <<PDG arrays: pdg array: TBP>>= procedure :: add => pdg_array_add <<PDG arrays: procedures>>= function pdg_array_add (aval, aval_add) result (aval_out) type(pdg_array_t) :: aval_out class(pdg_array_t), intent(in) :: aval type(pdg_array_t), intent(in) :: aval_add integer :: n, n_add, i n = size (aval%pdg) n_add = size (aval_add%pdg) allocate (aval_out%pdg (n + n_add)) aval_out%pdg(1:n) = aval%pdg do i = 1, n_add aval_out%pdg(n+i) = aval_add%pdg(i) end do end function pdg_array_add @ %def pdg_array_add @ Replace element with index [[i]] by a new array of elements. <<PDG arrays: public>>= public :: pdg_array_replace <<PDG arrays: pdg array: TBP>>= procedure :: replace => pdg_array_replace <<PDG arrays: procedures>>= function pdg_array_replace (aval, i, pdg_new) result (aval_new) class(pdg_array_t), intent(in) :: aval integer, intent(in) :: i integer, dimension(:), intent(in) :: pdg_new type(pdg_array_t) :: aval_new integer :: n, l n = size (aval%pdg) l = size (pdg_new) allocate (aval_new%pdg (n + l - 1)) aval_new%pdg(:i-1) = aval%pdg(:i-1) aval_new%pdg(i:i+l-1) = pdg_new aval_new%pdg(i+l:) = aval%pdg(i+1:) end function pdg_array_replace @ %def pdg_array_replace @ Concatenate two PDG arrays <<PDG arrays: public>>= public :: operator(//) <<PDG arrays: interfaces>>= interface operator(//) module procedure concat_pdg_arrays end interface <<PDG arrays: procedures>>= function concat_pdg_arrays (aval1, aval2) result (aval) type(pdg_array_t) :: aval type(pdg_array_t), intent(in) :: aval1, aval2 integer :: n1, n2 if (allocated (aval1%pdg) .and. allocated (aval2%pdg)) then n1 = size (aval1%pdg) n2 = size (aval2%pdg) allocate (aval%pdg (n1 + n2)) aval%pdg(:n1) = aval1%pdg aval%pdg(n1+1:) = aval2%pdg else if (allocated (aval1%pdg)) then aval = aval1 else if (allocated (aval2%pdg)) then aval = aval2 end if end function concat_pdg_arrays @ %def concat_pdg_arrays @ \subsection{Matching} A PDG array matches a given PDG code if the code is present within the array. If either one is zero (UNDEFINED), the match also succeeds. <<PDG arrays: public>>= public :: operator(.match.) <<PDG arrays: interfaces>>= interface operator(.match.) module procedure pdg_array_match_integer module procedure pdg_array_match_pdg_array end interface @ %def .match. @ Match a single code against the array. <<PDG arrays: procedures>>= elemental function pdg_array_match_integer (aval, pdg) result (flag) logical :: flag type(pdg_array_t), intent(in) :: aval integer, intent(in) :: pdg if (allocated (aval%pdg)) then flag = pdg == UNDEFINED & .or. any (aval%pdg == UNDEFINED) & .or. any (aval%pdg == pdg) else flag = .false. end if end function pdg_array_match_integer @ %def pdg_array_match_integer @ Check if the pdg-number corresponds to a quark <<PDG arrays: public>>= public :: is_quark <<PDG arrays: procedures>>= elemental function is_quark (pdg_nr) logical :: is_quark integer, intent(in) :: pdg_nr if (abs (pdg_nr) >= 1 .and. abs (pdg_nr) <= 6) then is_quark = .true. else is_quark = .false. end if end function is_quark @ %def is_quark @ Check if pdg-number corresponds to a gluon <<PDG arrays: public>>= public :: is_gluon <<PDG arrays: procedures>>= elemental function is_gluon (pdg_nr) logical :: is_gluon integer, intent(in) :: pdg_nr if (pdg_nr == 21) then is_gluon = .true. else is_gluon = .false. end if end function is_gluon @ %def is_gluon @ Check if pdg-number corresponds to a photon <<PDG arrays: public>>= public :: is_photon <<PDG arrays: procedures>>= elemental function is_photon (pdg_nr) logical :: is_photon integer, intent(in) :: pdg_nr if (pdg_nr == 22) then is_photon = .true. else is_photon = .false. end if end function is_photon @ %def is_photon @ Check if pdg-number corresponds to a colored particle <<PDG arrays: public>>= public :: is_colored <<PDG arrays: procedures>>= elemental function is_colored (pdg_nr) logical :: is_colored integer, intent(in) :: pdg_nr is_colored = is_quark (pdg_nr) .or. is_gluon (pdg_nr) end function is_colored @ %def is_colored @ Check if the pdg-number corresponds to a lepton <<PDG arrays: public>>= public :: is_lepton <<PDG arrays: procedures>>= elemental function is_lepton (pdg_nr) logical :: is_lepton integer, intent(in) :: pdg_nr if (abs (pdg_nr) >= 11 .and. abs (pdg_nr) <= 16) then is_lepton = .true. else is_lepton = .false. end if end function is_lepton @ %def is_lepton @ <<PDG arrays: public>>= public :: is_fermion <<PDG arrays: procedures>>= elemental function is_fermion (pdg_nr) logical :: is_fermion integer, intent(in) :: pdg_nr is_fermion = is_lepton(pdg_nr) .or. is_quark(pdg_nr) end function is_fermion @ %def is_fermion @ Check if the pdg-number corresponds to a massless vector boson <<PDG arrays: public>>= public :: is_massless_vector <<PDG arrays: procedures>>= elemental function is_massless_vector (pdg_nr) integer, intent(in) :: pdg_nr logical :: is_massless_vector if (pdg_nr == 21 .or. pdg_nr == 22) then is_massless_vector = .true. else is_massless_vector = .false. end if end function is_massless_vector @ %def is_massless_vector @ Check if pdg-number corresponds to a massive vector boson <<PDG arrays: public>>= public :: is_massive_vector <<PDG arrays: procedures>>= elemental function is_massive_vector (pdg_nr) integer, intent(in) :: pdg_nr logical :: is_massive_vector if (abs (pdg_nr) == 23 .or. abs (pdg_nr) == 24) then is_massive_vector = .true. else is_massive_vector = .false. end if end function is_massive_vector @ %def is massive_vector @ Check if pdg-number corresponds to a vector boson <<PDG arrays: public>>= public :: is_vector <<PDG arrays: procedures>>= elemental function is_vector (pdg_nr) integer, intent(in) :: pdg_nr logical :: is_vector if (is_massless_vector (pdg_nr) .or. is_massive_vector (pdg_nr)) then is_vector = .true. else is_vector = .false. end if end function is_vector @ %def is vector @ Check if particle is elementary. <<PDG arrays: public>>= public :: is_elementary <<PDG arrays: procedures>>= elemental function is_elementary (pdg_nr) integer, intent(in) :: pdg_nr logical :: is_elementary if (is_vector (pdg_nr) .or. is_fermion (pdg_nr) .or. pdg_nr == 25) then is_elementary = .true. else is_elementary = .false. end if end function is_elementary @ %def is_elementary @ Check if particle is strongly interacting <<PDG arrays: pdg array: TBP>>= procedure :: has_colored_particles => pdg_array_has_colored_particles <<PDG arrays: procedures>>= function pdg_array_has_colored_particles (pdg) result (colored) class(pdg_array_t), intent(in) :: pdg logical :: colored integer :: i, pdg_nr colored = .false. do i = 1, size (pdg%pdg) pdg_nr = pdg%pdg(i) if (is_quark (pdg_nr) .or. is_gluon (pdg_nr)) then colored = .true. exit end if end do end function pdg_array_has_colored_particles @ %def pdg_array_has_colored_particles @ Match two arrays. Succeeds if any pair of entries matches. <<PDG arrays: procedures>>= function pdg_array_match_pdg_array (aval1, aval2) result (flag) logical :: flag type(pdg_array_t), intent(in) :: aval1, aval2 if (allocated (aval1%pdg) .and. allocated (aval2%pdg)) then flag = any (aval1 .match. aval2%pdg) else flag = .false. end if end function pdg_array_match_pdg_array @ %def pdg_array_match_pdg_array @ Comparison. Here, we take the PDG arrays as-is, assuming that they are sorted. The ordering is a bit odd: first, we look only at the absolute values of the PDG codes. If they all match, the particle comes before the antiparticle, scanning from left to right. <<PDG arrays: public>>= public :: operator(<) public :: operator(>) public :: operator(<=) public :: operator(>=) public :: operator(==) public :: operator(/=) <<PDG arrays: interfaces>>= interface operator(<) module procedure pdg_array_lt end interface interface operator(>) module procedure pdg_array_gt end interface interface operator(<=) module procedure pdg_array_le end interface interface operator(>=) module procedure pdg_array_ge end interface interface operator(==) module procedure pdg_array_eq end interface interface operator(/=) module procedure pdg_array_ne end interface <<PDG arrays: procedures>>= elemental function pdg_array_lt (aval1, aval2) result (flag) type(pdg_array_t), intent(in) :: aval1, aval2 logical :: flag integer :: i if (size (aval1%pdg) /= size (aval2%pdg)) then flag = size (aval1%pdg) < size (aval2%pdg) else do i = 1, size (aval1%pdg) if (abs (aval1%pdg(i)) /= abs (aval2%pdg(i))) then flag = abs (aval1%pdg(i)) < abs (aval2%pdg(i)) return end if end do do i = 1, size (aval1%pdg) if (aval1%pdg(i) /= aval2%pdg(i)) then flag = aval1%pdg(i) > aval2%pdg(i) return end if end do flag = .false. end if end function pdg_array_lt elemental function pdg_array_gt (aval1, aval2) result (flag) type(pdg_array_t), intent(in) :: aval1, aval2 logical :: flag flag = .not. (aval1 < aval2 .or. aval1 == aval2) end function pdg_array_gt elemental function pdg_array_le (aval1, aval2) result (flag) type(pdg_array_t), intent(in) :: aval1, aval2 logical :: flag flag = aval1 < aval2 .or. aval1 == aval2 end function pdg_array_le elemental function pdg_array_ge (aval1, aval2) result (flag) type(pdg_array_t), intent(in) :: aval1, aval2 logical :: flag flag = .not. (aval1 < aval2) end function pdg_array_ge elemental function pdg_array_eq (aval1, aval2) result (flag) type(pdg_array_t), intent(in) :: aval1, aval2 logical :: flag if (size (aval1%pdg) /= size (aval2%pdg)) then flag = .false. else flag = all (aval1%pdg == aval2%pdg) end if end function pdg_array_eq elemental function pdg_array_ne (aval1, aval2) result (flag) type(pdg_array_t), intent(in) :: aval1, aval2 logical :: flag flag = .not. (aval1 == aval2) end function pdg_array_ne @ Equivalence. Two PDG arrays are equivalent if either one contains [[UNDEFINED]] or if each element of array 1 is present in array 2, and vice versa. <<PDG arrays: public>>= public :: operator(.eqv.) public :: operator(.neqv.) <<PDG arrays: interfaces>>= interface operator(.eqv.) module procedure pdg_array_equivalent end interface interface operator(.neqv.) module procedure pdg_array_inequivalent end interface <<PDG arrays: procedures>>= elemental function pdg_array_equivalent (aval1, aval2) result (eq) logical :: eq type(pdg_array_t), intent(in) :: aval1, aval2 logical, dimension(:), allocatable :: match1, match2 integer :: i if (allocated (aval1%pdg) .and. allocated (aval2%pdg)) then eq = any (aval1%pdg == UNDEFINED) & .or. any (aval2%pdg == UNDEFINED) if (.not. eq) then allocate (match1 (size (aval1%pdg))) allocate (match2 (size (aval2%pdg))) match1 = .false. match2 = .false. do i = 1, size (aval1%pdg) match2 = match2 .or. aval1%pdg(i) == aval2%pdg end do do i = 1, size (aval2%pdg) match1 = match1 .or. aval2%pdg(i) == aval1%pdg end do eq = all (match1) .and. all (match2) end if else eq = .false. end if end function pdg_array_equivalent elemental function pdg_array_inequivalent (aval1, aval2) result (neq) logical :: neq type(pdg_array_t), intent(in) :: aval1, aval2 neq = .not. pdg_array_equivalent (aval1, aval2) end function pdg_array_inequivalent @ %def pdg_array_equivalent @ \subsection{Sorting} Sort a PDG array by absolute value, particle before antiparticle. After sorting, we eliminate double entries. <<PDG arrays: public>>= public :: sort_abs <<PDG arrays: interfaces>>= interface sort_abs module procedure pdg_array_sort_abs end interface <<PDG arrays: pdg array: TBP>>= procedure :: sort_abs => pdg_array_sort_abs <<PDG arrays: procedures>>= function pdg_array_sort_abs (aval1, unique) result (aval2) class(pdg_array_t), intent(in) :: aval1 logical, intent(in), optional :: unique type(pdg_array_t) :: aval2 integer, dimension(:), allocatable :: tmp logical, dimension(:), allocatable :: mask integer :: i, n logical :: uni uni = .false.; if (present (unique)) uni = unique n = size (aval1%pdg) if (uni) then allocate (tmp (n), mask(n)) tmp = sort_abs (aval1%pdg) mask(1) = .true. do i = 2, n mask(i) = tmp(i) /= tmp(i-1) end do allocate (aval2%pdg (count (mask))) aval2%pdg = pack (tmp, mask) else allocate (aval2%pdg (n)) aval2%pdg = sort_abs (aval1%pdg) end if end function pdg_array_sort_abs @ %def sort_abs @ <<PDG arrays: pdg array: TBP>>= procedure :: intersect => pdg_array_intersect <<PDG arrays: procedures>>= function pdg_array_intersect (aval1, match) result (aval2) class(pdg_array_t), intent(in) :: aval1 integer, dimension(:) :: match type(pdg_array_t) :: aval2 integer, dimension(:), allocatable :: isec integer :: i isec = pack (aval1%pdg, [(any(aval1%pdg(i) == match), i=1,size(aval1%pdg))]) aval2 = isec end function pdg_array_intersect @ %def pdg_array_intersect @ <<PDG arrays: pdg array: TBP>>= procedure :: search_for_particle => pdg_array_search_for_particle <<PDG arrays: procedures>>= elemental function pdg_array_search_for_particle (pdg, i_part) result (found) class(pdg_array_t), intent(in) :: pdg integer, intent(in) :: i_part logical :: found found = any (pdg%pdg == i_part) end function pdg_array_search_for_particle @ %def pdg_array_search_for_particle @ <<PDG arrays: pdg array: TBP>>= procedure :: invert => pdg_array_invert <<PDG arrays: procedures>>= function pdg_array_invert (pdg) result (pdg_inverse) class(pdg_array_t), intent(in) :: pdg type(pdg_array_t) :: pdg_inverse integer :: i, n n = size (pdg%pdg) allocate (pdg_inverse%pdg (n)) do i = 1, n select case (pdg%pdg(i)) case (21, 22, 23, 25) pdg_inverse%pdg(i) = pdg%pdg(i) case default pdg_inverse%pdg(i) = -pdg%pdg(i) end select end do end function pdg_array_invert @ %def pdg_array_invert @ \subsection{PDG array list} A PDG array list, or PDG list, is an array of PDG-array objects with some convenience methods. <<PDG arrays: public>>= public :: pdg_list_t <<PDG arrays: types>>= type :: pdg_list_t type(pdg_array_t), dimension(:), allocatable :: a contains <<PDG arrays: pdg list: TBP>> end type pdg_list_t @ %def pdg_list_t @ Output, as a comma-separated list without advancing I/O. <<PDG arrays: pdg list: TBP>>= procedure :: write => pdg_list_write <<PDG arrays: procedures>>= subroutine pdg_list_write (object, unit) class(pdg_list_t), intent(in) :: object integer, intent(in), optional :: unit integer :: u, i u = given_output_unit (unit) if (allocated (object%a)) then do i = 1, size (object%a) if (i > 1) write (u, "(A)", advance="no") ", " call object%a(i)%write (u) end do end if end subroutine pdg_list_write @ %def pdg_list_write @ Initialize for a certain size. The entries are initially empty PDG arrays. <<PDG arrays: pdg list: TBP>>= generic :: init => pdg_list_init_size procedure, private :: pdg_list_init_size <<PDG arrays: procedures>>= subroutine pdg_list_init_size (pl, n) class(pdg_list_t), intent(out) :: pl integer, intent(in) :: n allocate (pl%a (n)) end subroutine pdg_list_init_size @ %def pdg_list_init_size @ Initialize with a definite array of PDG codes. That is, each entry in the list becomes a single-particle PDG array. <<PDG arrays: pdg list: TBP>>= generic :: init => pdg_list_init_int_array procedure, private :: pdg_list_init_int_array <<PDG arrays: procedures>>= subroutine pdg_list_init_int_array (pl, pdg) class(pdg_list_t), intent(out) :: pl integer, dimension(:), intent(in) :: pdg integer :: i allocate (pl%a (size (pdg))) do i = 1, size (pdg) pl%a(i) = pdg(i) end do end subroutine pdg_list_init_int_array @ %def pdg_list_init_array @ Set one of the entries. No bounds-check. <<PDG arrays: pdg list: TBP>>= generic :: set => pdg_list_set_int generic :: set => pdg_list_set_int_array generic :: set => pdg_list_set_pdg_array procedure, private :: pdg_list_set_int procedure, private :: pdg_list_set_int_array procedure, private :: pdg_list_set_pdg_array <<PDG arrays: procedures>>= subroutine pdg_list_set_int (pl, i, pdg) class(pdg_list_t), intent(inout) :: pl integer, intent(in) :: i integer, intent(in) :: pdg pl%a(i) = pdg end subroutine pdg_list_set_int subroutine pdg_list_set_int_array (pl, i, pdg) class(pdg_list_t), intent(inout) :: pl integer, intent(in) :: i integer, dimension(:), intent(in) :: pdg pl%a(i) = pdg end subroutine pdg_list_set_int_array subroutine pdg_list_set_pdg_array (pl, i, pa) class(pdg_list_t), intent(inout) :: pl integer, intent(in) :: i type(pdg_array_t), intent(in) :: pa pl%a(i) = pa end subroutine pdg_list_set_pdg_array @ %def pdg_list_set @ Array size, not the length of individual entries <<PDG arrays: pdg list: TBP>>= procedure :: get_size => pdg_list_get_size <<PDG arrays: procedures>>= function pdg_list_get_size (pl) result (n) class(pdg_list_t), intent(in) :: pl integer :: n if (allocated (pl%a)) then n = size (pl%a) else n = 0 end if end function pdg_list_get_size @ %def pdg_list_get_size @ Return an entry, as a PDG array. <<PDG arrays: pdg list: TBP>>= procedure :: get => pdg_list_get <<PDG arrays: procedures>>= function pdg_list_get (pl, i) result (pa) type(pdg_array_t) :: pa class(pdg_list_t), intent(in) :: pl integer, intent(in) :: i pa = pl%a(i) end function pdg_list_get @ %def pdg_list_get @ Check if the list entries are all either mutually disjoint or identical. The individual entries (PDG arrays) should already be sorted, so we can test for equality. <<PDG arrays: pdg list: TBP>>= procedure :: is_regular => pdg_list_is_regular <<PDG arrays: procedures>>= function pdg_list_is_regular (pl) result (flag) class(pdg_list_t), intent(in) :: pl logical :: flag integer :: i, j, s s = pl%get_size () flag = .true. do i = 1, s do j = i + 1, s if (pl%a(i) .match. pl%a(j)) then if (pl%a(i) /= pl%a(j)) then flag = .false. return end if end if end do end do end function pdg_list_is_regular @ %def pdg_list_is_regular @ Sort the list. First, each entry gets sorted, including elimination of doublers. Then, we sort the list, using the first member of each PDG array as the marker. No removal of doublers at this stage. If [[n_in]] is supplied, we do not reorder the first [[n_in]] particle entries. <<PDG arrays: pdg list: TBP>>= procedure :: sort_abs => pdg_list_sort_abs <<PDG arrays: procedures>>= function pdg_list_sort_abs (pl, n_in) result (pl_sorted) class(pdg_list_t), intent(in) :: pl integer, intent(in), optional :: n_in type(pdg_list_t) :: pl_sorted type(pdg_array_t), dimension(:), allocatable :: pa integer, dimension(:), allocatable :: pdg, map integer :: i, n0 call pl_sorted%init (pl%get_size ()) if (allocated (pl%a)) then allocate (pa (size (pl%a))) do i = 1, size (pl%a) pa(i) = pl%a(i)%sort_abs (unique = .true.) end do allocate (pdg (size (pa)), source = 0) do i = 1, size (pa) if (allocated (pa(i)%pdg)) then if (size (pa(i)%pdg) > 0) then pdg(i) = pa(i)%pdg(1) end if end if end do if (present (n_in)) then n0 = n_in else n0 = 0 end if allocate (map (size (pdg))) map(:n0) = [(i, i = 1, n0)] map(n0+1:) = n0 + order_abs (pdg(n0+1:)) do i = 1, size (pa) call pl_sorted%set (i, pa(map(i))) end do end if end function pdg_list_sort_abs @ %def pdg_list_sort_abs @ Compare sorted lists: equality. The result is undefined if some entries are not allocated. <<PDG arrays: pdg list: TBP>>= generic :: operator (==) => pdg_list_eq procedure, private :: pdg_list_eq <<PDG arrays: procedures>>= function pdg_list_eq (pl1, pl2) result (flag) class(pdg_list_t), intent(in) :: pl1, pl2 logical :: flag integer :: i flag = .false. if (allocated (pl1%a) .and. allocated (pl2%a)) then if (size (pl1%a) == size (pl2%a)) then do i = 1, size (pl1%a) associate (a1 => pl1%a(i), a2 => pl2%a(i)) if (allocated (a1%pdg) .and. allocated (a2%pdg)) then if (size (a1%pdg) == size (a2%pdg)) then if (size (a1%pdg) > 0) then if (a1%pdg(1) /= a2%pdg(1)) return end if else return end if else return end if end associate end do flag = .true. end if end if end function pdg_list_eq @ %def pdg_list_eq @ Compare sorted lists. The result is undefined if some entries are not allocated. The ordering is quite complicated. First, a shorter list comes before a longer list. Comparing entry by entry, a shorter entry comes first. Next, we check the first PDG code within corresponding entries. This is compared by absolute value. If equal, particle comes before antiparticle. Finally, if all is equal, the result is false. <<PDG arrays: pdg list: TBP>>= generic :: operator (<) => pdg_list_lt procedure, private :: pdg_list_lt <<PDG arrays: procedures>>= function pdg_list_lt (pl1, pl2) result (flag) class(pdg_list_t), intent(in) :: pl1, pl2 logical :: flag integer :: i flag = .false. if (allocated (pl1%a) .and. allocated (pl2%a)) then if (size (pl1%a) < size (pl2%a)) then flag = .true.; return else if (size (pl1%a) > size (pl2%a)) then return else do i = 1, size (pl1%a) associate (a1 => pl1%a(i), a2 => pl2%a(i)) if (allocated (a1%pdg) .and. allocated (a2%pdg)) then if (size (a1%pdg) < size (a2%pdg)) then flag = .true.; return else if (size (a1%pdg) > size (a2%pdg)) then return else if (size (a1%pdg) > 0) then if (abs (a1%pdg(1)) < abs (a2%pdg(1))) then flag = .true.; return else if (abs (a1%pdg(1)) > abs (a2%pdg(1))) then return else if (a1%pdg(1) > 0 .and. a2%pdg(1) < 0) then flag = .true.; return else if (a1%pdg(1) < 0 .and. a2%pdg(1) > 0) then return end if end if end if else return end if end associate end do flag = .false. end if end if end function pdg_list_lt @ %def pdg_list_lt @ Replace an entry. In the result, the entry [[#i]] is replaced by the contents of the second argument. The result is not sorted. If [[n_in]] is also set and [[i]] is less or equal to [[n_in]], replace [[#i]] only by the first entry of [[pl_insert]], and insert the remainder after entry [[n_in]]. <<PDG arrays: pdg list: TBP>>= procedure :: replace => pdg_list_replace <<PDG arrays: procedures>>= function pdg_list_replace (pl, i, pl_insert, n_in) result (pl_out) type(pdg_list_t) :: pl_out class(pdg_list_t), intent(in) :: pl integer, intent(in) :: i class(pdg_list_t), intent(in) :: pl_insert integer, intent(in), optional :: n_in integer :: n, n_insert, n_out, k n = pl%get_size () n_insert = pl_insert%get_size () n_out = n + n_insert - 1 call pl_out%init (n_out) ! if (allocated (pl%a)) then do k = 1, i - 1 pl_out%a(k) = pl%a(k) end do ! end if if (present (n_in)) then pl_out%a(i) = pl_insert%a(1) do k = i + 1, n_in pl_out%a(k) = pl%a(k) end do do k = 1, n_insert - 1 pl_out%a(n_in+k) = pl_insert%a(1+k) end do do k = 1, n - n_in pl_out%a(n_in+k+n_insert-1) = pl%a(n_in+k) end do else ! if (allocated (pl_insert%a)) then do k = 1, n_insert pl_out%a(i-1+k) = pl_insert%a(k) end do ! end if ! if (allocated (pl%a)) then do k = 1, n - i pl_out%a(i+n_insert-1+k) = pl%a(i+k) end do end if ! end if end function pdg_list_replace @ %def pdg_list_replace @ <<PDG arrays: pdg list: TBP>>= procedure :: fusion => pdg_list_fusion <<PDG arrays: procedures>>= function pdg_list_fusion (pl, pl_insert, i, check_if_existing) result (pl_out) type(pdg_list_t) :: pl_out class(pdg_list_t), intent(in) :: pl type(pdg_list_t), intent(in) :: pl_insert integer, intent(in) :: i logical, intent(in) :: check_if_existing integer :: n, n_insert, k, n_out logical :: new_pdg n = pl%get_size () n_insert = pl_insert%get_size () new_pdg = .not. check_if_existing .or. & (.not. any (pl%search_for_particle (pl_insert%a(1)%pdg))) call pl_out%init (n + n_insert - 1) do k = 1, n if (new_pdg .and. k == i) then pl_out%a(k) = pl%a(k)%add (pl_insert%a(1)) else pl_out%a(k) = pl%a(k) end if end do do k = n + 1, n + n_insert - 1 pl_out%a(k) = pl_insert%a(k-n) end do end function pdg_list_fusion @ %def pdg_list_fusion @ <<PDG arrays: pdg list: TBP>>= procedure :: get_pdg_sizes => pdg_list_get_pdg_sizes <<PDG arrays: procedures>>= function pdg_list_get_pdg_sizes (pl) result (i_size) integer, dimension(:), allocatable :: i_size class(pdg_list_t), intent(in) :: pl integer :: i, n n = pl%get_size () allocate (i_size (n)) do i = 1, n i_size(i) = size (pl%a(i)%pdg) end do end function pdg_list_get_pdg_sizes @ %def pdg_list_get_pdg_sizes @ Replace the entries of [[pl]] by the matching entries of [[pl_match]], one by one. This is done in-place. If there is no match, return failure. <<PDG arrays: pdg list: TBP>>= procedure :: match_replace => pdg_list_match_replace <<PDG arrays: procedures>>= subroutine pdg_list_match_replace (pl, pl_match, success) class(pdg_list_t), intent(inout) :: pl class(pdg_list_t), intent(in) :: pl_match logical, intent(out) :: success integer :: i, j success = .true. SCAN_ENTRIES: do i = 1, size (pl%a) do j = 1, size (pl_match%a) if (pl%a(i) .match. pl_match%a(j)) then pl%a(i) = pl_match%a(j) cycle SCAN_ENTRIES end if end do success = .false. return end do SCAN_ENTRIES end subroutine pdg_list_match_replace @ %def pdg_list_match_replace @ Just check if a PDG array matches any entry in the PDG list. The second version returns the position of the match within the list. An optional mask indicates the list elements that should be checked. <<PDG arrays: pdg list: TBP>>= generic :: operator (.match.) => pdg_list_match_pdg_array procedure, private :: pdg_list_match_pdg_array procedure :: find_match => pdg_list_find_match_pdg_array <<PDG arrays: procedures>>= function pdg_list_match_pdg_array (pl, pa) result (flag) class(pdg_list_t), intent(in) :: pl type(pdg_array_t), intent(in) :: pa logical :: flag flag = pl%find_match (pa) /= 0 end function pdg_list_match_pdg_array function pdg_list_find_match_pdg_array (pl, pa, mask) result (i) class(pdg_list_t), intent(in) :: pl type(pdg_array_t), intent(in) :: pa logical, dimension(:), intent(in), optional :: mask integer :: i do i = 1, size (pl%a) if (present (mask)) then if (.not. mask(i)) cycle end if if (pl%a(i) .match. pa) return end do i = 0 end function pdg_list_find_match_pdg_array @ %def pdg_list_match_pdg_array @ %def pdg_list_find_match_pdg_array @ Some old compilers have problems with allocatable arrays as intent(out) or as function result, so be conservative here: <<PDG arrays: pdg list: TBP>>= procedure :: create_pdg_array => pdg_list_create_pdg_array <<PDG arrays: procedures>>= subroutine pdg_list_create_pdg_array (pl, pdg) class(pdg_list_t), intent(in) :: pl type(pdg_array_t), dimension(:), intent(inout), allocatable :: pdg integer :: n_elements integer :: i associate (a => pl%a) n_elements = size (a) if (allocated (pdg)) deallocate (pdg) allocate (pdg (n_elements)) do i = 1, n_elements pdg(i) = a(i) end do end associate end subroutine pdg_list_create_pdg_array @ %def pdg_list_create_pdg_array @ <<PDG arrays: pdg list: TBP>>= procedure :: create_antiparticles => pdg_list_create_antiparticles <<PDG arrays: procedures>>= subroutine pdg_list_create_antiparticles (pl, pl_anti, n_new_particles) class(pdg_list_t), intent(in) :: pl type(pdg_list_t), intent(out) :: pl_anti integer, intent(out) :: n_new_particles type(pdg_list_t) :: pl_inverse integer :: i, n integer :: n_identical logical, dimension(:), allocatable :: collect n = pl%get_size (); n_identical = 0 allocate (collect (n)); collect = .true. call pl_inverse%init (n) do i = 1, n pl_inverse%a(i) = pl%a(i)%invert() end do do i = 1, n if (any (pl_inverse%a(i) == pl%a)) then collect(i) = .false. n_identical = n_identical + 1 end if end do n_new_particles = n - n_identical if (n_new_particles > 0) then call pl_anti%init (n_new_particles) do i = 1, n if (collect (i)) pl_anti%a(i) = pl_inverse%a(i) end do end if end subroutine pdg_list_create_antiparticles @ %def pdg_list_create_antiparticles @ <<PDG arrays: pdg list: TBP>>= procedure :: search_for_particle => pdg_list_search_for_particle <<PDG arrays: procedures>>= elemental function pdg_list_search_for_particle (pl, i_part) result (found) logical :: found class(pdg_list_t), intent(in) :: pl integer, intent(in) :: i_part integer :: i_pl do i_pl = 1, size (pl%a) found = pl%a(i_pl)%search_for_particle (i_part) if (found) return end do end function pdg_list_search_for_particle @ %def pdg_list_search_for_particle @ <<PDG arrays: pdg list: TBP>>= procedure :: contains_colored_particles => pdg_list_contains_colored_particles <<PDG arrays: procedures>>= function pdg_list_contains_colored_particles (pl) result (colored) class(pdg_list_t), intent(in) :: pl logical :: colored integer :: i colored = .false. do i = 1, size (pl%a) if (pl%a(i)%has_colored_particles()) then colored = .true. exit end if end do end function pdg_list_contains_colored_particles @ %def pdg_list_contains_colored_particles @ \subsection{Unit tests} Test module, followed by the corresponding implementation module. <<[[pdg_arrays_ut.f90]]>>= <<File header>> module pdg_arrays_ut use unit_tests use pdg_arrays_uti <<Standard module head>> <<PDG arrays: public test>> contains <<PDG arrays: test driver>> end module pdg_arrays_ut @ %def pdg_arrays_ut @ <<[[pdg_arrays_uti.f90]]>>= <<File header>> module pdg_arrays_uti use pdg_arrays <<Standard module head>> <<PDG arrays: test declarations>> contains <<PDG arrays: tests>> end module pdg_arrays_uti @ %def pdg_arrays_ut @ API: driver for the unit tests below. <<PDG arrays: public test>>= public :: pdg_arrays_test <<PDG arrays: test driver>>= subroutine pdg_arrays_test (u, results) integer, intent(in) :: u type (test_results_t), intent(inout) :: results <<PDG arrays: execute tests>> end subroutine pdg_arrays_test @ %def pdg_arrays_test @ Basic functionality. <<PDG arrays: execute tests>>= call test (pdg_arrays_1, "pdg_arrays_1", & "create and sort PDG array", & u, results) <<PDG arrays: test declarations>>= public :: pdg_arrays_1 <<PDG arrays: tests>>= subroutine pdg_arrays_1 (u) integer, intent(in) :: u type(pdg_array_t) :: pa, pa1, pa2, pa3, pa4, pa5, pa6 integer, dimension(:), allocatable :: pdg write (u, "(A)") "* Test output: pdg_arrays_1" write (u, "(A)") "* Purpose: create and sort PDG arrays" write (u, "(A)") write (u, "(A)") "* Assignment" write (u, "(A)") call pa%write (u) write (u, *) write (u, "(A,I0)") "length = ", pa%get_length () pdg = pa write (u, "(A,3(1x,I0))") "contents = ", pdg write (u, *) pa = 1 call pa%write (u) write (u, *) write (u, "(A,I0)") "length = ", pa%get_length () pdg = pa write (u, "(A,3(1x,I0))") "contents = ", pdg write (u, *) pa = [1, 2, 3] call pa%write (u) write (u, *) write (u, "(A,I0)") "length = ", pa%get_length () pdg = pa write (u, "(A,3(1x,I0))") "contents = ", pdg write (u, "(A,I0)") "element #2 = ", pa%get (2) write (u, *) write (u, "(A)") "* Replace" write (u, *) pa = pa%replace (2, [-5, 5, -7]) call pa%write (u) write (u, *) write (u, *) write (u, "(A)") "* Sort" write (u, *) pa = [1, -7, 3, -5, 5, 3] call pa%write (u) write (u, *) pa1 = pa%sort_abs () pa2 = pa%sort_abs (unique = .true.) call pa1%write (u) write (u, *) call pa2%write (u) write (u, *) write (u, *) write (u, "(A)") "* Compare" write (u, *) pa1 = [1, 3] pa2 = [1, 2, -2] pa3 = [1, 2, 4] pa4 = [1, 2, 4] pa5 = [1, 2, -4] pa6 = [1, 2, -3] write (u, "(A,6(1x,L1))") "< ", & pa1 < pa2, pa2 < pa3, pa3 < pa4, pa4 < pa5, pa5 < pa6, pa6 < pa1 write (u, "(A,6(1x,L1))") "> ", & pa1 > pa2, pa2 > pa3, pa3 > pa4, pa4 > pa5, pa5 > pa6, pa6 > pa1 write (u, "(A,6(1x,L1))") "<=", & pa1 <= pa2, pa2 <= pa3, pa3 <= pa4, pa4 <= pa5, pa5 <= pa6, pa6 <= pa1 write (u, "(A,6(1x,L1))") ">=", & pa1 >= pa2, pa2 >= pa3, pa3 >= pa4, pa4 >= pa5, pa5 >= pa6, pa6 >= pa1 write (u, "(A,6(1x,L1))") "==", & pa1 == pa2, pa2 == pa3, pa3 == pa4, pa4 == pa5, pa5 == pa6, pa6 == pa1 write (u, "(A,6(1x,L1))") "/=", & pa1 /= pa2, pa2 /= pa3, pa3 /= pa4, pa4 /= pa5, pa5 /= pa6, pa6 /= pa1 write (u, *) pa1 = [0] pa2 = [1, 2] pa3 = [1, -2] write (u, "(A,6(1x,L1))") "eqv ", & pa1 .eqv. pa1, pa1 .eqv. pa2, & pa2 .eqv. pa2, pa2 .eqv. pa3 write (u, "(A,6(1x,L1))") "neqv", & pa1 .neqv. pa1, pa1 .neqv. pa2, & pa2 .neqv. pa2, pa2 .neqv. pa3 write (u, *) write (u, "(A,6(1x,L1))") "match", & pa1 .match. 0, pa1 .match. 1, & pa2 .match. 0, pa2 .match. 1, pa2 .match. 3 write (u, "(A)") write (u, "(A)") "* Test output end: pdg_arrays_1" end subroutine pdg_arrays_1 @ %def pdg_arrays_1 @ PDG array list, i.e., arrays of arrays. <<PDG arrays: execute tests>>= call test (pdg_arrays_2, "pdg_arrays_2", & "create and sort PDG lists", & u, results) <<PDG arrays: test declarations>>= public :: pdg_arrays_2 <<PDG arrays: tests>>= subroutine pdg_arrays_2 (u) integer, intent(in) :: u type(pdg_array_t) :: pa type(pdg_list_t) :: pl, pl1 write (u, "(A)") "* Test output: pdg_arrays_2" write (u, "(A)") "* Purpose: create and sort PDG lists" write (u, "(A)") write (u, "(A)") "* Assignment" write (u, "(A)") call pl%init (3) call pl%set (1, 42) call pl%set (2, [3, 2]) pa = [5, -5] call pl%set (3, pa) call pl%write (u) write (u, *) write (u, "(A,I0)") "size = ", pl%get_size () write (u, "(A)") write (u, "(A)") "* Sort" write (u, "(A)") pl = pl%sort_abs () call pl%write (u) write (u, *) write (u, "(A)") write (u, "(A)") "* Extract item #3" write (u, "(A)") pa = pl%get (3) call pa%write (u) write (u, *) write (u, "(A)") write (u, "(A)") "* Replace item #3" write (u, "(A)") call pl1%init (2) call pl1%set (1, [2, 4]) call pl1%set (2, -7) pl = pl%replace (3, pl1) call pl%write (u) write (u, *) write (u, "(A)") write (u, "(A)") "* Test output end: pdg_arrays_2" end subroutine pdg_arrays_2 @ %def pdg_arrays_2 @ Check if a (sorted) PDG array lists is regular. The entries (PDG arrays) must not overlap, unless they are identical. <<PDG arrays: execute tests>>= call test (pdg_arrays_3, "pdg_arrays_3", & "check PDG lists", & u, results) <<PDG arrays: test declarations>>= public :: pdg_arrays_3 <<PDG arrays: tests>>= subroutine pdg_arrays_3 (u) integer, intent(in) :: u type(pdg_list_t) :: pl write (u, "(A)") "* Test output: pdg_arrays_3" write (u, "(A)") "* Purpose: check for regular PDG lists" write (u, "(A)") write (u, "(A)") "* Regular list" write (u, "(A)") call pl%init (4) call pl%set (1, [1, 2]) call pl%set (2, [1, 2]) call pl%set (3, [5, -5]) call pl%set (4, 42) call pl%write (u) write (u, *) write (u, "(L1)") pl%is_regular () write (u, "(A)") write (u, "(A)") "* Irregular list" write (u, "(A)") call pl%init (4) call pl%set (1, [1, 2]) call pl%set (2, [1, 2]) call pl%set (3, [2, 5, -5]) call pl%set (4, 42) call pl%write (u) write (u, *) write (u, "(L1)") pl%is_regular () write (u, "(A)") write (u, "(A)") "* Test output end: pdg_arrays_3" end subroutine pdg_arrays_3 @ %def pdg_arrays_3 @ Compare PDG array lists. The lists must be regular, i.e., sorted and with non-overlapping (or identical) entries. <<PDG arrays: execute tests>>= call test (pdg_arrays_4, "pdg_arrays_4", & "compare PDG lists", & u, results) <<PDG arrays: test declarations>>= public :: pdg_arrays_4 <<PDG arrays: tests>>= subroutine pdg_arrays_4 (u) integer, intent(in) :: u type(pdg_list_t) :: pl1, pl2, pl3 write (u, "(A)") "* Test output: pdg_arrays_4" write (u, "(A)") "* Purpose: check for regular PDG lists" write (u, "(A)") write (u, "(A)") "* Create lists" write (u, "(A)") call pl1%init (4) call pl1%set (1, [1, 2]) call pl1%set (2, [1, 2]) call pl1%set (3, [5, -5]) call pl1%set (4, 42) write (u, "(I1,1x)", advance = "no") 1 call pl1%write (u) write (u, *) call pl2%init (2) call pl2%set (1, 3) call pl2%set (2, [5, -5]) write (u, "(I1,1x)", advance = "no") 2 call pl2%write (u) write (u, *) call pl3%init (2) call pl3%set (1, 4) call pl3%set (2, [5, -5]) write (u, "(I1,1x)", advance = "no") 3 call pl3%write (u) write (u, *) write (u, "(A)") write (u, "(A)") "* a == b" write (u, "(A)") write (u, "(2x,A)") "123" write (u, *) write (u, "(I1,1x,4L1)") 1, pl1 == pl1, pl1 == pl2, pl1 == pl3 write (u, "(I1,1x,4L1)") 2, pl2 == pl1, pl2 == pl2, pl2 == pl3 write (u, "(I1,1x,4L1)") 3, pl3 == pl1, pl3 == pl2, pl3 == pl3 write (u, "(A)") write (u, "(A)") "* a < b" write (u, "(A)") write (u, "(2x,A)") "123" write (u, *) write (u, "(I1,1x,4L1)") 1, pl1 < pl1, pl1 < pl2, pl1 < pl3 write (u, "(I1,1x,4L1)") 2, pl2 < pl1, pl2 < pl2, pl2 < pl3 write (u, "(I1,1x,4L1)") 3, pl3 < pl1, pl3 < pl2, pl3 < pl3 write (u, "(A)") write (u, "(A)") "* Test output end: pdg_arrays_4" end subroutine pdg_arrays_4 @ %def pdg_arrays_4 @ Match-replace: translate all entries in the first list into the matching entries of the second list, if there is a match. <<PDG arrays: execute tests>>= call test (pdg_arrays_5, "pdg_arrays_5", & "match PDG lists", & u, results) <<PDG arrays: test declarations>>= public :: pdg_arrays_5 <<PDG arrays: tests>>= subroutine pdg_arrays_5 (u) integer, intent(in) :: u type(pdg_list_t) :: pl1, pl2, pl3 logical :: success write (u, "(A)") "* Test output: pdg_arrays_5" write (u, "(A)") "* Purpose: match-replace" write (u, "(A)") write (u, "(A)") "* Create lists" write (u, "(A)") call pl1%init (2) call pl1%set (1, [1, 2]) call pl1%set (2, 42) call pl1%write (u) write (u, *) call pl3%init (2) call pl3%set (1, [42, -42]) call pl3%set (2, [1, 2, 3, 4]) call pl1%match_replace (pl3, success) call pl3%write (u) write (u, "(1x,A,1x,L1,':',1x)", advance="no") "=>", success call pl1%write (u) write (u, *) write (u, *) call pl2%init (2) call pl2%set (1, 9) call pl2%set (2, 42) call pl2%write (u) write (u, *) call pl2%match_replace (pl3, success) call pl3%write (u) write (u, "(1x,A,1x,L1,':',1x)", advance="no") "=>", success call pl2%write (u) write (u, *) write (u, "(A)") write (u, "(A)") "* Test output end: pdg_arrays_5" end subroutine pdg_arrays_5 @ %def pdg_arrays_5 @ \clearpage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Jets} The FastJet library is linked externally, if available. The wrapper code is also in a separate directory. Here, we define \whizard-specific procedures and tests. <<[[jets.f90]]>>= <<File header>> module jets use fastjet !NODEP! <<Standard module head>> <<Jets: public>> contains <<Jets: procedures>> end module jets @ %def jets @ \subsection{Re-exported symbols} We use this module as a proxy for the FastJet interface, therefore we re-export some symbols. <<Jets: public>>= public :: fastjet_available public :: fastjet_init public :: jet_definition_t public :: pseudojet_t public :: pseudojet_vector_t public :: cluster_sequence_t public :: assignment (=) @ %def jet_definition_t pseudojet_t pseudojet_vector_t cluster_sequence_t @ The initialization routine prints the banner. <<Jets: procedures>>= subroutine fastjet_init () call print_banner () end subroutine fastjet_init @ %def fastjet_init @ The jet algorithm codes (actually, integers) <<Jets: public>>= public :: kt_algorithm public :: cambridge_algorithm public :: antikt_algorithm public :: genkt_algorithm public :: cambridge_for_passive_algorithm public :: genkt_for_passive_algorithm public :: ee_kt_algorithm public :: ee_genkt_algorithm public :: plugin_algorithm public :: undefined_jet_algorithm @ \subsection{Unit tests} Test module, followed by the corresponding implementation module. <<[[jets_ut.f90]]>>= <<File header>> module jets_ut use unit_tests use jets_uti <<Standard module head>> <<Jets: public test>> contains <<Jets: test driver>> end module jets_ut @ %def jets_ut @ <<[[jets_uti.f90]]>>= <<File header>> module jets_uti <<Use kinds>> use fastjet !NODEP! use jets <<Standard module head>> <<Jets: test declarations>> contains <<Jets: tests>> end module jets_uti @ %def jets_ut @ API: driver for the unit tests below. <<Jets: public test>>= public :: jets_test <<Jets: test driver>>= subroutine jets_test (u, results) integer, intent(in) :: u type (test_results_t), intent(inout) :: results <<Jets: execute tests>> end subroutine jets_test @ %def jets_test @ This test is actually the minimal example from the FastJet manual, translated to Fortran. Note that FastJet creates pseudojet vectors, which we mirror in the [[pseudojet_vector_t]], but immediately assign to pseudojet arrays. Without automatic finalization available in the compilers, we should avoid this in actual code and rather introduce intermediate variables for those objects, which we can finalize explicitly. <<Jets: execute tests>>= call test (jets_1, "jets_1", & "basic FastJet functionality", & u, results) <<Jets: test declarations>>= public :: jets_1 <<Jets: tests>>= subroutine jets_1 (u) integer, intent(in) :: u type(pseudojet_t), dimension(:), allocatable :: prt, jets, constituents type(jet_definition_t) :: jet_def type(cluster_sequence_t) :: cs integer, parameter :: dp = default integer :: i, j write (u, "(A)") "* Test output: jets_1" write (u, "(A)") "* Purpose: test basic FastJet functionality" write (u, "(A)") write (u, "(A)") "* Print banner" call print_banner () write (u, *) write (u, "(A)") "* Prepare input particles" allocate (prt (3)) call prt(1)%init ( 99._dp, 0.1_dp, 0._dp, 100._dp) call prt(2)%init ( 4._dp,-0.1_dp, 0._dp, 5._dp) call prt(3)%init (-99._dp, 0._dp, 0._dp, 99._dp) write (u, *) write (u, "(A)") "* Define jet algorithm" call jet_def%init (antikt_algorithm, 0.7_dp) write (u, *) write (u, "(A)") "* Cluster particles according to jet algorithm" write (u, *) write (u, "(A,A)") "Clustering with ", jet_def%description () call cs%init (pseudojet_vector (prt), jet_def) write (u, *) write (u, "(A)") "* Sort output jets" jets = sorted_by_pt (cs%inclusive_jets ()) write (u, *) write (u, "(A)") "* Print jet observables and constituents" write (u, *) write (u, "(4x,3(7x,A3))") "pt", "y", "phi" do i = 1, size (jets) write (u, "(A,1x,I0,A,3(1x,F9.5))") & "jet", i, ":", jets(i)%perp (), jets(i)%rap (), jets(i)%phi () constituents = jets(i)%constituents () do j = 1, size (constituents) write (u, "(4x,A,1x,I0,A,F9.5)") & "constituent", j, "'s pt:", constituents(j)%perp () end do do j = 1, size (constituents) call constituents(j)%final () end do end do write (u, *) write (u, "(A)") "* Cleanup" do i = 1, size (prt) call prt(i)%final () end do do i = 1, size (jets) call jets(i)%final () end do call jet_def%final () call cs%final () write (u, "(A)") write (u, "(A)") "* Test output end: jets_1" end subroutine jets_1 @ %def jets_1 @ \clearpage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Subevents} The purpose of subevents is to store the relevant part of the physical event (either partonic or hadronic), and to hold particle selections and combinations which are constructed in cut or analysis expressions. <<[[subevents.f90]]>>= <<File header>> module subevents use, intrinsic :: iso_c_binding !NODEP! <<Use kinds>> use io_units use format_defs, only: FMT_14, FMT_19 use format_utils, only: pac_fmt use physics_defs use sorting use c_particles use lorentz use pdg_arrays use jets <<Standard module head>> <<Subevents: public>> <<Subevents: parameters>> <<Subevents: types>> <<Subevents: interfaces>> contains <<Subevents: procedures>> end module subevents @ %def subevents @ \subsection{Particles} For the purpose of this module, a particle has a type which can indicate a beam, incoming, outgoing, or composite particle, flavor and helicity codes (integer, undefined for composite), four-momentum and invariant mass squared. (Other particles types are used in extended event types, but also defined here.) Furthermore, each particle has an allocatable array of ancestors -- particle indices which indicate the building blocks of a composite particle. For an incoming/outgoing particle, the array contains only the index of the particle itself. For incoming particles, the momentum is inverted before storing it in the particle object. <<Subevents: parameters>>= integer, parameter, public :: PRT_UNDEFINED = 0 integer, parameter, public :: PRT_BEAM = -9 integer, parameter, public :: PRT_INCOMING = 1 integer, parameter, public :: PRT_OUTGOING = 2 integer, parameter, public :: PRT_COMPOSITE = 3 integer, parameter, public :: PRT_VIRTUAL = 4 integer, parameter, public :: PRT_RESONANT = 5 integer, parameter, public :: PRT_BEAM_REMNANT = 9 @ %def PRT_UNDEFINED PRT_BEAM @ %def PRT_INCOMING PRT_OUTGOING PRT_COMPOSITE @ %def PRT_COMPOSITE PRT_VIRTUAL PRT_RESONANT @ %def PRT_BEAM_REMNANT @ \subsubsection{The type} We initialize only the type here and mark as unpolarized. The initializers below do the rest. The logicals [[is_b_jet]] and [[is_c_jet]] are true only if [[prt_t]] comes out of the [[subevt_cluster]] routine and fulfils the correct flavor content. <<Subevents: public>>= public :: prt_t <<Subevents: types>>= type :: prt_t private integer :: type = PRT_UNDEFINED integer :: pdg logical :: polarized = .false. logical :: colorized = .false. logical :: clustered = .false. logical :: is_b_jet = .false. logical :: is_c_jet = .false. integer :: h type(vector4_t) :: p real(default) :: p2 integer, dimension(:), allocatable :: src integer, dimension(:), allocatable :: col integer, dimension(:), allocatable :: acl end type prt_t @ %def prt_t @ Initializers. Polarization is set separately. Finalizers are not needed. <<Subevents: procedures>>= subroutine prt_init_beam (prt, pdg, p, p2, src) type(prt_t), intent(out) :: prt integer, intent(in) :: pdg type(vector4_t), intent(in) :: p real(default), intent(in) :: p2 integer, dimension(:), intent(in) :: src prt%type = PRT_BEAM call prt_set (prt, pdg, - p, p2, src) end subroutine prt_init_beam subroutine prt_init_incoming (prt, pdg, p, p2, src) type(prt_t), intent(out) :: prt integer, intent(in) :: pdg type(vector4_t), intent(in) :: p real(default), intent(in) :: p2 integer, dimension(:), intent(in) :: src prt%type = PRT_INCOMING call prt_set (prt, pdg, - p, p2, src) end subroutine prt_init_incoming subroutine prt_init_outgoing (prt, pdg, p, p2, src) type(prt_t), intent(out) :: prt integer, intent(in) :: pdg type(vector4_t), intent(in) :: p real(default), intent(in) :: p2 integer, dimension(:), intent(in) :: src prt%type = PRT_OUTGOING call prt_set (prt, pdg, p, p2, src) end subroutine prt_init_outgoing subroutine prt_init_composite (prt, p, src) type(prt_t), intent(out) :: prt type(vector4_t), intent(in) :: p integer, dimension(:), intent(in) :: src prt%type = PRT_COMPOSITE call prt_set (prt, 0, p, p**2, src) end subroutine prt_init_composite @ %def prt_init_beam prt_init_incoming prt_init_outgoing prt_init_composite @ This version is for temporary particle objects, so the [[src]] array is not set. <<Subevents: public>>= public :: prt_init_combine <<Subevents: procedures>>= subroutine prt_init_combine (prt, prt1, prt2) type(prt_t), intent(out) :: prt type(prt_t), intent(in) :: prt1, prt2 type(vector4_t) :: p integer, dimension(0) :: src prt%type = PRT_COMPOSITE p = prt1%p + prt2%p call prt_set (prt, 0, p, p**2, src) end subroutine prt_init_combine @ %def prt_init_combine @ Init from a pseudojet object. <<Subevents: procedures>>= subroutine prt_init_pseudojet (prt, jet, src, pdg, is_b_jet, is_c_jet) type(prt_t), intent(out) :: prt type(pseudojet_t), intent(in) :: jet integer, dimension(:), intent(in) :: src integer, intent(in) :: pdg logical, intent(in) :: is_b_jet, is_c_jet type(vector4_t) :: p prt%type = PRT_COMPOSITE p = vector4_moving (jet%e(), & vector3_moving ([jet%px(), jet%py(), jet%pz()])) call prt_set (prt, pdg, p, p**2, src) prt%is_b_jet = is_b_jet prt%is_c_jet = is_c_jet prt%clustered = .true. end subroutine prt_init_pseudojet @ %def prt_init_pseudojet @ \subsubsection{Accessing contents} <<Subevents: public>>= public :: prt_get_pdg <<Subevents: procedures>>= elemental function prt_get_pdg (prt) result (pdg) integer :: pdg type(prt_t), intent(in) :: prt pdg = prt%pdg end function prt_get_pdg @ %def prt_get_pdg <<Subevents: public>>= public :: prt_get_momentum <<Subevents: procedures>>= elemental function prt_get_momentum (prt) result (p) type(vector4_t) :: p type(prt_t), intent(in) :: prt p = prt%p end function prt_get_momentum @ %def prt_get_momentum <<Subevents: public>>= public :: prt_get_msq <<Subevents: procedures>>= elemental function prt_get_msq (prt) result (msq) real(default) :: msq type(prt_t), intent(in) :: prt msq = prt%p2 end function prt_get_msq @ %def prt_get_msq <<Subevents: public>>= public :: prt_is_polarized <<Subevents: procedures>>= elemental function prt_is_polarized (prt) result (flag) logical :: flag type(prt_t), intent(in) :: prt flag = prt%polarized end function prt_is_polarized @ %def prt_is_polarized <<Subevents: public>>= public :: prt_get_helicity <<Subevents: procedures>>= elemental function prt_get_helicity (prt) result (h) integer :: h type(prt_t), intent(in) :: prt h = prt%h end function prt_get_helicity @ %def prt_get_helicity <<Subevents: public>>= public :: prt_is_colorized <<Subevents: procedures>>= elemental function prt_is_colorized (prt) result (flag) logical :: flag type(prt_t), intent(in) :: prt flag = prt%colorized end function prt_is_colorized @ %def prt_is_colorized <<Subevents: public>>= public :: prt_is_clustered <<Subevents: procedures>>= elemental function prt_is_clustered (prt) result (flag) logical :: flag type(prt_t), intent(in) :: prt flag = prt%clustered end function prt_is_clustered @ %def prt_is_clustered <<Subevents: public>>= public :: prt_is_recombinable <<Subevents: procedures>>= elemental function prt_is_recombinable (prt) result (flag) logical :: flag type(prt_t), intent(in) :: prt flag = prt_is_parton (prt) .or. & abs(prt%pdg) == TOP_Q .or. & prt_is_lepton (prt) end function prt_is_recombinable @ %def prt_is_recombinable <<Subevents: public>>= public :: prt_is_photon <<Subevents: procedures>>= elemental function prt_is_photon (prt) result (flag) logical :: flag type(prt_t), intent(in) :: prt flag = prt%pdg == PHOTON end function prt_is_photon @ %def prt_is_photon We do not take the top quark into account here. <<Subevents: public>>= public :: prt_is_parton <<Subevents: procedures>>= elemental function prt_is_parton (prt) result (flag) logical :: flag type(prt_t), intent(in) :: prt flag = abs(prt%pdg) == DOWN_Q .or. & abs(prt%pdg) == UP_Q .or. & abs(prt%pdg) == STRANGE_Q .or. & abs(prt%pdg) == CHARM_Q .or. & abs(prt%pdg) == BOTTOM_Q .or. & prt%pdg == GLUON end function prt_is_parton @ %def prt_is_parton <<Subevents: public>>= public :: prt_is_lepton <<Subevents: procedures>>= elemental function prt_is_lepton (prt) result (flag) logical :: flag type(prt_t), intent(in) :: prt flag = abs(prt%pdg) == ELECTRON .or. & abs(prt%pdg) == MUON .or. & abs(prt%pdg) == TAU end function prt_is_lepton @ %def prt_is_lepton <<Subevents: public>>= public :: prt_is_b_jet <<Subevents: procedures>>= elemental function prt_is_b_jet (prt) result (flag) logical :: flag type(prt_t), intent(in) :: prt flag = prt%is_b_jet end function prt_is_b_jet @ %def prt_is_b_jet <<Subevents: public>>= public :: prt_is_c_jet <<Subevents: procedures>>= elemental function prt_is_c_jet (prt) result (flag) logical :: flag type(prt_t), intent(in) :: prt flag = prt%is_c_jet end function prt_is_c_jet @ %def prt_is_c_jet @ The number of open color (anticolor) lines. We inspect the list of color (anticolor) lines and count the entries that do not appear in the list of anticolors (colors). (There is no check against duplicates; we assume that color line indices are unique.) <<Subevents: public>>= public :: prt_get_n_col public :: prt_get_n_acl <<Subevents: procedures>>= elemental function prt_get_n_col (prt) result (n) integer :: n type(prt_t), intent(in) :: prt integer, dimension(:), allocatable :: col, acl integer :: i n = 0 if (prt%colorized) then do i = 1, size (prt%col) if (all (prt%col(i) /= prt%acl)) n = n + 1 end do end if end function prt_get_n_col elemental function prt_get_n_acl (prt) result (n) integer :: n type(prt_t), intent(in) :: prt integer, dimension(:), allocatable :: col, acl integer :: i n = 0 if (prt%colorized) then do i = 1, size (prt%acl) if (all (prt%acl(i) /= prt%col)) n = n + 1 end do end if end function prt_get_n_acl @ %def prt_get_n_col @ %def prt_get_n_acl @ Return the color and anticolor-flow line indices explicitly. <<Subevents: public>>= public :: prt_get_color_indices <<Subevents: procedures>>= subroutine prt_get_color_indices (prt, col, acl) type(prt_t), intent(in) :: prt integer, dimension(:), allocatable, intent(out) :: col, acl if (prt%colorized) then col = prt%col acl = prt%acl else col = [integer::] acl = [integer::] end if end subroutine prt_get_color_indices @ %def prt_get_color_indices @ \subsubsection{Setting data} Set the PDG, momentum and momentum squared, and ancestors. If allocate-on-assignment is available, this can be simplified. <<Subevents: procedures>>= subroutine prt_set (prt, pdg, p, p2, src) type(prt_t), intent(inout) :: prt integer, intent(in) :: pdg type(vector4_t), intent(in) :: p real(default), intent(in) :: p2 integer, dimension(:), intent(in) :: src prt%pdg = pdg prt%p = p prt%p2 = p2 if (allocated (prt%src)) then if (size (src) /= size (prt%src)) then deallocate (prt%src) allocate (prt%src (size (src))) end if else allocate (prt%src (size (src))) end if prt%src = src end subroutine prt_set @ %def prt_set @ Set the particle PDG code separately. <<Subevents: procedures>>= elemental subroutine prt_set_pdg (prt, pdg) type(prt_t), intent(inout) :: prt integer, intent(in) :: pdg prt%pdg = pdg end subroutine prt_set_pdg @ %def prt_set_pdg @ Set the momentum separately. <<Subevents: procedures>>= elemental subroutine prt_set_p (prt, p) type(prt_t), intent(inout) :: prt type(vector4_t), intent(in) :: p prt%p = p end subroutine prt_set_p @ %def prt_set_p @ Set the squared invariant mass separately. <<Subevents: procedures>>= elemental subroutine prt_set_p2 (prt, p2) type(prt_t), intent(inout) :: prt real(default), intent(in) :: p2 prt%p2 = p2 end subroutine prt_set_p2 @ %def prt_set_p2 @ Set helicity (optional). <<Subevents: procedures>>= subroutine prt_polarize (prt, h) type(prt_t), intent(inout) :: prt integer, intent(in) :: h prt%polarized = .true. prt%h = h end subroutine prt_polarize @ %def prt_polarize @ Set color-flow indices (optional). <<Subevents: procedures>>= subroutine prt_colorize (prt, col, acl) type(prt_t), intent(inout) :: prt integer, dimension(:), intent(in) :: col, acl prt%colorized = .true. prt%col = col prt%acl = acl end subroutine prt_colorize @ %def prt_colorize @ \subsubsection{Conversion} Transform a [[prt_t]] object into a [[c_prt_t]] object. <<Subevents: public>>= public :: c_prt <<Subevents: interfaces>>= interface c_prt module procedure c_prt_from_prt end interface @ %def c_prt <<Subevents: procedures>>= elemental function c_prt_from_prt (prt) result (c_prt) type(c_prt_t) :: c_prt type(prt_t), intent(in) :: prt c_prt = prt%p c_prt%type = prt%type c_prt%pdg = prt%pdg if (prt%polarized) then c_prt%polarized = 1 else c_prt%polarized = 0 end if c_prt%h = prt%h end function c_prt_from_prt @ %def c_prt_from_prt @ \subsubsection{Output} <<Subevents: public>>= public :: prt_write <<Subevents: procedures>>= subroutine prt_write (prt, unit, testflag) type(prt_t), intent(in) :: prt integer, intent(in), optional :: unit logical, intent(in), optional :: testflag logical :: pacified type(prt_t) :: tmp character(len=7) :: fmt integer :: u, i call pac_fmt (fmt, FMT_19, FMT_14, testflag) u = given_output_unit (unit); if (u < 0) return pacified = .false. ; if (present (testflag)) pacified = testflag tmp = prt if (pacified) call pacify (tmp) write (u, "(1x,A)", advance="no") "prt(" select case (prt%type) case (PRT_UNDEFINED); write (u, "('?')", advance="no") case (PRT_BEAM); write (u, "('b:')", advance="no") case (PRT_INCOMING); write (u, "('i:')", advance="no") case (PRT_OUTGOING); write (u, "('o:')", advance="no") case (PRT_COMPOSITE); write (u, "('c:')", advance="no") end select select case (prt%type) case (PRT_BEAM, PRT_INCOMING, PRT_OUTGOING) if (prt%polarized) then write (u, "(I0,'/',I0,'|')", advance="no") prt%pdg, prt%h else write (u, "(I0,'|')", advance="no") prt%pdg end if end select select case (prt%type) case (PRT_BEAM, PRT_INCOMING, PRT_OUTGOING, PRT_COMPOSITE) if (prt%colorized) then write (u, "(*(I0,:,','))", advance="no") prt%col write (u, "('/')", advance="no") write (u, "(*(I0,:,','))", advance="no") prt%acl write (u, "('|')", advance="no") end if end select select case (prt%type) case (PRT_BEAM, PRT_INCOMING, PRT_OUTGOING, PRT_COMPOSITE) write (u, "(" // FMT_14 // ",';'," // FMT_14 // ",','," // & FMT_14 // ",','," // FMT_14 // ")", advance="no") tmp%p write (u, "('|'," // fmt // ")", advance="no") tmp%p2 end select if (allocated (prt%src)) then write (u, "('|')", advance="no") do i = 1, size (prt%src) write (u, "(1x,I0)", advance="no") prt%src(i) end do end if if (prt%is_b_jet) then write (u, "('|b jet')", advance="no") end if if (prt%is_c_jet) then write (u, "('|c jet')", advance="no") end if write (u, "(A)") ")" end subroutine prt_write @ %def prt_write @ \subsubsection{Tools} Two particles match if their [[src]] arrays are the same. <<Subevents: public>>= public :: operator(.match.) <<Subevents: interfaces>>= interface operator(.match.) module procedure prt_match end interface @ %def .match. <<Subevents: procedures>>= elemental function prt_match (prt1, prt2) result (match) logical :: match type(prt_t), intent(in) :: prt1, prt2 if (size (prt1%src) == size (prt2%src)) then match = all (prt1%src == prt2%src) else match = .false. end if end function prt_match @ %def prt_match @ The combine operation makes a pseudoparticle whose momentum is the result of adding (the momenta of) the pair of input particles. We trace the particles from which a particle is built by storing a [[src]] array. Each particle entry in the [[src]] list contains a list of indices which indicates its building blocks. The indices refer to an original list of particles. Index lists are sorted, and they contain no element more than once. We thus require that in a given pseudoparticle, each original particle occurs at most once. The result is intent(inout), so it will not be initialized when the subroutine is entered. If the particles carry color, we recall that the combined particle is a composite which is understood as outgoing. If one of the arguments is an incoming particle, is color entries must be reversed. <<Subevents: procedures>>= subroutine prt_combine (prt, prt_in1, prt_in2, ok) type(prt_t), intent(inout) :: prt type(prt_t), intent(in) :: prt_in1, prt_in2 logical :: ok integer, dimension(:), allocatable :: src integer, dimension(:), allocatable :: col1, acl1, col2, acl2 call combine_index_lists (src, prt_in1%src, prt_in2%src) ok = allocated (src) if (ok) then call prt_init_composite (prt, prt_in1%p + prt_in2%p, src) if (prt_in1%colorized .or. prt_in2%colorized) then select case (prt_in1%type) case default call prt_get_color_indices (prt_in1, col1, acl1) case (PRT_BEAM, PRT_INCOMING) call prt_get_color_indices (prt_in1, acl1, col1) end select select case (prt_in2%type) case default call prt_get_color_indices (prt_in2, col2, acl2) case (PRT_BEAM, PRT_INCOMING) call prt_get_color_indices (prt_in2, acl2, col2) end select call prt_colorize (prt, [col1, col2], [acl1, acl2]) end if end if end subroutine prt_combine @ %def prt_combine @ This variant does not produce the combined particle, it just checks whether the combination is valid (no common [[src]] entry). <<Subevents: public>>= public :: are_disjoint <<Subevents: procedures>>= function are_disjoint (prt_in1, prt_in2) result (flag) logical :: flag type(prt_t), intent(in) :: prt_in1, prt_in2 flag = index_lists_are_disjoint (prt_in1%src, prt_in2%src) end function are_disjoint @ %def are_disjoint @ [[src]] Lists with length $>1$ are built by a [[combine]] operation which merges the lists in a sorted manner. If the result would have a duplicate entry, it is discarded, and the result is unallocated. <<Subevents: procedures>>= subroutine combine_index_lists (res, src1, src2) integer, dimension(:), intent(in) :: src1, src2 integer, dimension(:), allocatable :: res integer :: i1, i2, i allocate (res (size (src1) + size (src2))) if (size (src1) == 0) then res = src2 return else if (size (src2) == 0) then res = src1 return end if i1 = 1 i2 = 1 LOOP: do i = 1, size (res) if (src1(i1) < src2(i2)) then res(i) = src1(i1); i1 = i1 + 1 if (i1 > size (src1)) then res(i+1:) = src2(i2:) exit LOOP end if else if (src1(i1) > src2(i2)) then res(i) = src2(i2); i2 = i2 + 1 if (i2 > size (src2)) then res(i+1:) = src1(i1:) exit LOOP end if else deallocate (res) exit LOOP end if end do LOOP end subroutine combine_index_lists @ %def combine_index_lists @ This function is similar, but it does not actually merge the list, it just checks whether they are disjoint (no common [[src]] entry). <<Subevents: procedures>>= function index_lists_are_disjoint (src1, src2) result (flag) logical :: flag integer, dimension(:), intent(in) :: src1, src2 integer :: i1, i2, i flag = .true. i1 = 1 i2 = 1 LOOP: do i = 1, size (src1) + size (src2) if (src1(i1) < src2(i2)) then i1 = i1 + 1 if (i1 > size (src1)) then exit LOOP end if else if (src1(i1) > src2(i2)) then i2 = i2 + 1 if (i2 > size (src2)) then exit LOOP end if else flag = .false. exit LOOP end if end do LOOP end function index_lists_are_disjoint @ %def index_lists_are_disjoint @ \subsection{subevents} Particles are collected in subevents. This type is implemented as a dynamically allocated array, which need not be completely filled. The value [[n_active]] determines the number of meaningful entries. \subsubsection{Type definition} <<Subevents: public>>= public :: subevt_t <<Subevents: types>>= type :: subevt_t private integer :: n_active = 0 type(prt_t), dimension(:), allocatable :: prt contains <<Subevents: subevt: TBP>> end type subevt_t @ %def subevt_t @ Initialize, allocating with size zero (default) or given size. The number of contained particles is set equal to the size. <<Subevents: public>>= public :: subevt_init <<Subevents: procedures>>= subroutine subevt_init (subevt, n_active) type(subevt_t), intent(out) :: subevt integer, intent(in), optional :: n_active if (present (n_active)) subevt%n_active = n_active allocate (subevt%prt (subevt%n_active)) end subroutine subevt_init @ %def subevt_init @ (Re-)allocate the subevent with some given size. If the size is greater than the previous one, do a real reallocation. Otherwise, just reset the recorded size. Contents are untouched, but become invalid. <<Subevents: public>>= public :: subevt_reset <<Subevents: procedures>>= subroutine subevt_reset (subevt, n_active) type(subevt_t), intent(inout) :: subevt integer, intent(in) :: n_active subevt%n_active = n_active if (subevt%n_active > size (subevt%prt)) then deallocate (subevt%prt) allocate (subevt%prt (subevt%n_active)) end if end subroutine subevt_reset @ %def subevt_reset @ Output. No prefix for the headline 'subevt', because this will usually be printed appending to a previous line. <<Subevents: public>>= public :: subevt_write <<Subevents: subevt: TBP>>= procedure :: write => subevt_write <<Subevents: procedures>>= subroutine subevt_write (object, unit, prefix, pacified) class(subevt_t), intent(in) :: object integer, intent(in), optional :: unit character(*), intent(in), optional :: prefix logical, intent(in), optional :: pacified integer :: u, i u = given_output_unit (unit); if (u < 0) return write (u, "(1x,A)") "subevent:" do i = 1, object%n_active if (present (prefix)) write (u, "(A)", advance="no") prefix write (u, "(1x,I0)", advance="no") i call prt_write (object%prt(i), unit = unit, testflag = pacified) end do end subroutine subevt_write @ %def subevt_write @ Defined assignment: transfer only meaningful entries. This is a deep copy (as would be default assignment). <<Subevents: interfaces>>= interface assignment(=) module procedure subevt_assign end interface @ %def = <<Subevents: procedures>>= subroutine subevt_assign (subevt, subevt_in) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: subevt_in if (.not. allocated (subevt%prt)) then call subevt_init (subevt, subevt_in%n_active) else call subevt_reset (subevt, subevt_in%n_active) end if subevt%prt(:subevt%n_active) = subevt_in%prt(:subevt%n_active) end subroutine subevt_assign @ %def subevt_assign @ \subsubsection{Fill contents} Store incoming/outgoing particles which are completely defined. <<Subevents: public>>= public :: subevt_set_beam public :: subevt_set_incoming public :: subevt_set_outgoing public :: subevt_set_composite <<Subevents: procedures>>= subroutine subevt_set_beam (subevt, i, pdg, p, p2, src) type(subevt_t), intent(inout) :: subevt integer, intent(in) :: i integer, intent(in) :: pdg type(vector4_t), intent(in) :: p real(default), intent(in) :: p2 integer, dimension(:), intent(in), optional :: src if (present (src)) then call prt_init_beam (subevt%prt(i), pdg, p, p2, src) else call prt_init_beam (subevt%prt(i), pdg, p, p2, [i]) end if end subroutine subevt_set_beam subroutine subevt_set_incoming (subevt, i, pdg, p, p2, src) type(subevt_t), intent(inout) :: subevt integer, intent(in) :: i integer, intent(in) :: pdg type(vector4_t), intent(in) :: p real(default), intent(in) :: p2 integer, dimension(:), intent(in), optional :: src if (present (src)) then call prt_init_incoming (subevt%prt(i), pdg, p, p2, src) else call prt_init_incoming (subevt%prt(i), pdg, p, p2, [i]) end if end subroutine subevt_set_incoming subroutine subevt_set_outgoing (subevt, i, pdg, p, p2, src) type(subevt_t), intent(inout) :: subevt integer, intent(in) :: i integer, intent(in) :: pdg type(vector4_t), intent(in) :: p real(default), intent(in) :: p2 integer, dimension(:), intent(in), optional :: src if (present (src)) then call prt_init_outgoing (subevt%prt(i), pdg, p, p2, src) else call prt_init_outgoing (subevt%prt(i), pdg, p, p2, [i]) end if end subroutine subevt_set_outgoing subroutine subevt_set_composite (subevt, i, p, src) type(subevt_t), intent(inout) :: subevt integer, intent(in) :: i type(vector4_t), intent(in) :: p integer, dimension(:), intent(in) :: src call prt_init_composite (subevt%prt(i), p, src) end subroutine subevt_set_composite @ %def subevt_set_incoming subevt_set_outgoing subevt_set_composite @ Separately assign flavors, simultaneously for all incoming/outgoing particles. <<Subevents: public>>= public :: subevt_set_pdg_beam public :: subevt_set_pdg_incoming public :: subevt_set_pdg_outgoing <<Subevents: procedures>>= subroutine subevt_set_pdg_beam (subevt, pdg) type(subevt_t), intent(inout) :: subevt integer, dimension(:), intent(in) :: pdg integer :: i, j j = 1 do i = 1, subevt%n_active if (subevt%prt(i)%type == PRT_BEAM) then call prt_set_pdg (subevt%prt(i), pdg(j)) j = j + 1 if (j > size (pdg)) exit end if end do end subroutine subevt_set_pdg_beam subroutine subevt_set_pdg_incoming (subevt, pdg) type(subevt_t), intent(inout) :: subevt integer, dimension(:), intent(in) :: pdg integer :: i, j j = 1 do i = 1, subevt%n_active if (subevt%prt(i)%type == PRT_INCOMING) then call prt_set_pdg (subevt%prt(i), pdg(j)) j = j + 1 if (j > size (pdg)) exit end if end do end subroutine subevt_set_pdg_incoming subroutine subevt_set_pdg_outgoing (subevt, pdg) type(subevt_t), intent(inout) :: subevt integer, dimension(:), intent(in) :: pdg integer :: i, j j = 1 do i = 1, subevt%n_active if (subevt%prt(i)%type == PRT_OUTGOING) then call prt_set_pdg (subevt%prt(i), pdg(j)) j = j + 1 if (j > size (pdg)) exit end if end do end subroutine subevt_set_pdg_outgoing @ %def subevt_set_pdg_beam @ %def subevt_set_pdg_incoming @ %def subevt_set_pdg_outgoing @ Separately assign momenta, simultaneously for all incoming/outgoing particles. <<Subevents: public>>= public :: subevt_set_p_beam public :: subevt_set_p_incoming public :: subevt_set_p_outgoing <<Subevents: procedures>>= subroutine subevt_set_p_beam (subevt, p) type(subevt_t), intent(inout) :: subevt type(vector4_t), dimension(:), intent(in) :: p integer :: i, j j = 1 do i = 1, subevt%n_active if (subevt%prt(i)%type == PRT_BEAM) then call prt_set_p (subevt%prt(i), p(j)) j = j + 1 if (j > size (p)) exit end if end do end subroutine subevt_set_p_beam subroutine subevt_set_p_incoming (subevt, p) type(subevt_t), intent(inout) :: subevt type(vector4_t), dimension(:), intent(in) :: p integer :: i, j j = 1 do i = 1, subevt%n_active if (subevt%prt(i)%type == PRT_INCOMING) then call prt_set_p (subevt%prt(i), p(j)) j = j + 1 if (j > size (p)) exit end if end do end subroutine subevt_set_p_incoming subroutine subevt_set_p_outgoing (subevt, p) type(subevt_t), intent(inout) :: subevt type(vector4_t), dimension(:), intent(in) :: p integer :: i, j j = 1 do i = 1, subevt%n_active if (subevt%prt(i)%type == PRT_OUTGOING) then call prt_set_p (subevt%prt(i), p(j)) j = j + 1 if (j > size (p)) exit end if end do end subroutine subevt_set_p_outgoing @ %def subevt_set_p_beam @ %def subevt_set_p_incoming @ %def subevt_set_p_outgoing @ Separately assign the squared invariant mass, simultaneously for all incoming/outgoing particles. <<Subevents: public>>= public :: subevt_set_p2_beam public :: subevt_set_p2_incoming public :: subevt_set_p2_outgoing <<Subevents: procedures>>= subroutine subevt_set_p2_beam (subevt, p2) type(subevt_t), intent(inout) :: subevt real(default), dimension(:), intent(in) :: p2 integer :: i, j j = 1 do i = 1, subevt%n_active if (subevt%prt(i)%type == PRT_BEAM) then call prt_set_p2 (subevt%prt(i), p2(j)) j = j + 1 if (j > size (p2)) exit end if end do end subroutine subevt_set_p2_beam subroutine subevt_set_p2_incoming (subevt, p2) type(subevt_t), intent(inout) :: subevt real(default), dimension(:), intent(in) :: p2 integer :: i, j j = 1 do i = 1, subevt%n_active if (subevt%prt(i)%type == PRT_INCOMING) then call prt_set_p2 (subevt%prt(i), p2(j)) j = j + 1 if (j > size (p2)) exit end if end do end subroutine subevt_set_p2_incoming subroutine subevt_set_p2_outgoing (subevt, p2) type(subevt_t), intent(inout) :: subevt real(default), dimension(:), intent(in) :: p2 integer :: i, j j = 1 do i = 1, subevt%n_active if (subevt%prt(i)%type == PRT_OUTGOING) then call prt_set_p2 (subevt%prt(i), p2(j)) j = j + 1 if (j > size (p2)) exit end if end do end subroutine subevt_set_p2_outgoing @ %def subevt_set_p2_beam @ %def subevt_set_p2_incoming @ %def subevt_set_p2_outgoing @ Set polarization for an entry <<Subevents: public>>= public :: subevt_polarize <<Subevents: procedures>>= subroutine subevt_polarize (subevt, i, h) type(subevt_t), intent(inout) :: subevt integer, intent(in) :: i, h call prt_polarize (subevt%prt(i), h) end subroutine subevt_polarize @ %def subevt_polarize @ Set color-flow indices for an entry <<Subevents: public>>= public :: subevt_colorize <<Subevents: procedures>>= subroutine subevt_colorize (subevt, i, col, acl) type(subevt_t), intent(inout) :: subevt integer, intent(in) :: i, col, acl if (col > 0 .and. acl > 0) then call prt_colorize (subevt%prt(i), [col], [acl]) else if (col > 0) then call prt_colorize (subevt%prt(i), [col], [integer ::]) else if (acl > 0) then call prt_colorize (subevt%prt(i), [integer ::], [acl]) else call prt_colorize (subevt%prt(i), [integer ::], [integer ::]) end if end subroutine subevt_colorize @ %def subevt_colorize @ \subsubsection{Accessing contents} Return true if the subevent has entries. <<Subevents: public>>= public :: subevt_is_nonempty <<Subevents: procedures>>= function subevt_is_nonempty (subevt) result (flag) logical :: flag type(subevt_t), intent(in) :: subevt flag = subevt%n_active /= 0 end function subevt_is_nonempty @ %def subevt_is_nonempty @ Return the number of entries <<Subevents: public>>= public :: subevt_get_length <<Subevents: procedures>>= function subevt_get_length (subevt) result (length) integer :: length type(subevt_t), intent(in) :: subevt length = subevt%n_active end function subevt_get_length @ %def subevt_get_length @ Return a specific particle. The index is not checked for validity. <<Subevents: public>>= public :: subevt_get_prt <<Subevents: procedures>>= function subevt_get_prt (subevt, i) result (prt) type(prt_t) :: prt type(subevt_t), intent(in) :: subevt integer, intent(in) :: i prt = subevt%prt(i) end function subevt_get_prt @ %def subevt_get_prt @ Return the partonic energy squared. We take the particles with flag [[PRT_INCOMING]] and compute their total invariant mass. <<Subevents: public>>= public :: subevt_get_sqrts_hat <<Subevents: procedures>>= function subevt_get_sqrts_hat (subevt) result (sqrts_hat) type(subevt_t), intent(in) :: subevt real(default) :: sqrts_hat type(vector4_t) :: p integer :: i do i = 1, subevt%n_active if (subevt%prt(i)%type == PRT_INCOMING) then p = p + prt_get_momentum (subevt%prt(i)) end if end do sqrts_hat = p ** 1 end function subevt_get_sqrts_hat @ %def subevt_get_sqrts_hat @ Return the number of incoming (outgoing) particles, respectively. Beam particles or composites are not counted. <<Subevents: public>>= public :: subevt_get_n_in public :: subevt_get_n_out <<Subevents: procedures>>= function subevt_get_n_in (subevt) result (n_in) type(subevt_t), intent(in) :: subevt integer :: n_in n_in = count (subevt%prt(:subevt%n_active)%type == PRT_INCOMING) end function subevt_get_n_in function subevt_get_n_out (subevt) result (n_out) type(subevt_t), intent(in) :: subevt integer :: n_out n_out = count (subevt%prt(:subevt%n_active)%type == PRT_OUTGOING) end function subevt_get_n_out @ %def subevt_get_n_in @ %def subevt_get_n_out @ <<Subevents: interfaces>>= interface c_prt module procedure c_prt_from_subevt module procedure c_prt_array_from_subevt end interface @ %def c_prt <<Subevents: procedures>>= function c_prt_from_subevt (subevt, i) result (c_prt) type(c_prt_t) :: c_prt type(subevt_t), intent(in) :: subevt integer, intent(in) :: i c_prt = c_prt_from_prt (subevt%prt(i)) end function c_prt_from_subevt function c_prt_array_from_subevt (subevt) result (c_prt_array) type(subevt_t), intent(in) :: subevt type(c_prt_t), dimension(subevt%n_active) :: c_prt_array c_prt_array = c_prt_from_prt (subevt%prt(1:subevt%n_active)) end function c_prt_array_from_subevt @ %def c_prt_from_subevt @ %def c_prt_array_from_subevt @ \subsubsection{Operations with subevents} The join operation joins two subevents. When appending the elements of the second list, we check for each particle whether it is already in the first list. If yes, it is discarded. The result list should be initialized already. If a mask is present, it refers to the second subevent. Particles where the mask is not set are discarded. <<Subevents: public>>= public :: subevt_join <<Subevents: procedures>>= subroutine subevt_join (subevt, pl1, pl2, mask2) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl1, pl2 logical, dimension(:), intent(in), optional :: mask2 integer :: n1, n2, i, n n1 = pl1%n_active n2 = pl2%n_active call subevt_reset (subevt, n1 + n2) subevt%prt(:n1) = pl1%prt(:n1) n = n1 if (present (mask2)) then do i = 1, pl2%n_active if (mask2(i)) then if (disjoint (i)) then n = n + 1 subevt%prt(n) = pl2%prt(i) end if end if end do else do i = 1, pl2%n_active if (disjoint (i)) then n = n + 1 subevt%prt(n) = pl2%prt(i) end if end do end if subevt%n_active = n contains function disjoint (i) result (flag) integer, intent(in) :: i logical :: flag integer :: j do j = 1, pl1%n_active if (.not. are_disjoint (pl1%prt(j), pl2%prt(i))) then flag = .false. return end if end do flag = .true. end function disjoint end subroutine subevt_join @ %def subevt_join @ The combine operation makes a subevent whose entries are the result of adding (the momenta of) each pair of particles in the input lists. We trace the particles from which a particles is built by storing a [[src]] array. Each particle entry in the [[src]] list contains a list of indices which indicates its building blocks. The indices refer to an original list of particles. Index lists are sorted, and they contain no element more than once. We thus require that in a given pseudoparticle, each original particle occurs at most once. <<Subevents: public>>= public :: subevt_combine <<Subevents: procedures>>= subroutine subevt_combine (subevt, pl1, pl2, mask12) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl1, pl2 logical, dimension(:,:), intent(in), optional :: mask12 integer :: n1, n2, i1, i2, n, j logical :: ok n1 = pl1%n_active n2 = pl2%n_active call subevt_reset (subevt, n1 * n2) n = 1 do i1 = 1, n1 do i2 = 1, n2 if (present (mask12)) then ok = mask12(i1,i2) else ok = .true. end if if (ok) call prt_combine & (subevt%prt(n), pl1%prt(i1), pl2%prt(i2), ok) if (ok) then CHECK_DOUBLES: do j = 1, n - 1 if (subevt%prt(n) .match. subevt%prt(j)) then ok = .false.; exit CHECK_DOUBLES end if end do CHECK_DOUBLES if (ok) n = n + 1 end if end do end do subevt%n_active = n - 1 end subroutine subevt_combine @ %def subevt_combine @ The collect operation makes a single-entry subevent which results from combining (the momenta of) all particles in the input list. As above, the result does not contain an original particle more than once; this is checked for each particle when it is collected. Furthermore, each entry has a mask; where the mask is false, the entry is dropped. (Thus, if the input particles are already composite, there is some chance that the result depends on the order of the input list and is not as expected. This situation should be avoided.) <<Subevents: public>>= public :: subevt_collect <<Subevents: procedures>>= subroutine subevt_collect (subevt, pl1, mask1) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl1 logical, dimension(:), intent(in) :: mask1 type(prt_t) :: prt integer :: i logical :: ok call subevt_reset (subevt, 1) subevt%n_active = 0 do i = 1, pl1%n_active if (mask1(i)) then if (subevt%n_active == 0) then subevt%n_active = 1 subevt%prt(1) = pl1%prt(i) else call prt_combine (prt, subevt%prt(1), pl1%prt(i), ok) if (ok) subevt%prt(1) = prt end if end if end do end subroutine subevt_collect @ %def subevt_collect @ The cluster operation is similar to [[collect]], but applies a jet algorithm. The result is a subevent consisting of jets and, possibly, unclustered extra particles. As above, the result does not contain an original particle more than once; this is checked for each particle when it is collected. Furthermore, each entry has a mask; where the mask is false, the entry is dropped. The algorithm: first determine the (pseudo)particles that participate in the clustering. They should not overlap, and the mask entry must be set. We then cluster the particles, using the given jet definition. The result particles are retrieved from the cluster sequence. We still have to determine the source indices for each jet: for each input particle, we get the jet index. Accumulating the source entries for all particles that are part of a given jet, we derive the jet source entries. Finally, we delete the C structures that have been constructed by FastJet and its interface. <<Subevents: public>>= public :: subevt_cluster <<Subevents: procedures>>= subroutine subevt_cluster (subevt, pl1, dcut, mask1, jet_def, & keep_jets, exclusive) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl1 real(default), intent(in) :: dcut logical, dimension(:), intent(in) :: mask1 type(jet_definition_t), intent(in) :: jet_def logical, intent(in) :: keep_jets, exclusive integer, dimension(:), allocatable :: map, jet_index type(pseudojet_t), dimension(:), allocatable :: jet_in, jet_out type(pseudojet_vector_t) :: jv_in, jv_out type(cluster_sequence_t) :: cs integer :: i, n_src, n_active call map_prt_index (pl1, mask1, n_src, map) n_active = count (map /= 0) allocate (jet_in (n_active)) allocate (jet_index (n_active)) do i = 1, n_active call jet_in(i)%init (prt_get_momentum (pl1%prt(map(i)))) end do call jv_in%init (jet_in) call cs%init (jv_in, jet_def) if (exclusive) then jv_out = cs%exclusive_jets (dcut) else jv_out = cs%inclusive_jets () end if call cs%assign_jet_indices (jv_out, jet_index) allocate (jet_out (jv_out%size ())) jet_out = jv_out call fill_pseudojet (subevt, pl1, jet_out, jet_index, n_src, map) do i = 1, size (jet_out) call jet_out(i)%final () end do call jv_out%final () call cs%final () call jv_in%final () do i = 1, size (jet_in) call jet_in(i)%final () end do contains ! Uniquely combine sources and add map those new indices to the old ones subroutine map_prt_index (pl1, mask1, n_src, map) type(subevt_t), intent(in) :: pl1 logical, dimension(:), intent(in) :: mask1 integer, intent(out) :: n_src integer, dimension(:), allocatable, intent(out) :: map integer, dimension(:), allocatable :: src, src_tmp integer :: i allocate (src(0)) allocate (map (pl1%n_active), source = 0) n_active = 0 do i = 1, pl1%n_active if (.not. mask1(i)) cycle call combine_index_lists (src_tmp, src, pl1%prt(i)%src) if (.not. allocated (src_tmp)) cycle call move_alloc (from=src_tmp, to=src) n_active = n_active + 1 map(n_active) = i end do n_src = size (src) end subroutine map_prt_index ! Retrieve source(s) of a jet and fill corresponding subevent subroutine fill_pseudojet (subevt, pl1, jet_out, jet_index, n_src, map) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl1 type(pseudojet_t), dimension(:), intent(in) :: jet_out integer, dimension(:), intent(in) :: jet_index integer, dimension(:), intent(in) :: map integer, intent(in) :: n_src integer, dimension(n_src) :: src_fill integer :: i, jet, k, combined_pdg, pdg, n_quarks, n_src_fill logical :: is_b, is_c call subevt_reset (subevt, size (jet_out)) do jet = 1, size (jet_out) pdg = 0; src_fill = 0; n_src_fill = 0; combined_pdg = 0; n_quarks = 0 is_b = .false.; is_c = .false. PARTICLE: do i = 1, size (jet_index) if (jet_index(i) /= jet) cycle PARTICLE associate (prt => pl1%prt(map(i)), n_src_prt => size(pl1%prt(map(i))%src)) do k = 1, n_src_prt src_fill(n_src_fill + k) = prt%src(k) end do n_src_fill = n_src_fill + n_src_prt if (is_quark (prt%pdg)) then n_quarks = n_quarks + 1 if (.not. is_b) then if (abs (prt%pdg) == 5) then is_b = .true. is_c = .false. else if (abs (prt%pdg) == 4) then is_c = .true. end if end if if (combined_pdg == 0) combined_pdg = prt%pdg end if end associate end do PARTICLE if (keep_jets .and. n_quarks == 1) pdg = combined_pdg call prt_init_pseudojet (subevt%prt(jet), jet_out(jet), & src_fill(:n_src_fill), pdg, is_b, is_c) end do end subroutine fill_pseudojet end subroutine subevt_cluster @ %def subevt_cluster @ Do recombination. <<Subevents: public>>= public :: subevt_recombine <<Subevents: procedures>>= subroutine subevt_recombine (subevt, pl, prt, mask1, reco_r0, keep_flv) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl type(prt_t), intent(in) :: prt logical, intent(in) :: mask1, keep_flv real(default), intent(in) :: reco_r0 real(default), dimension(:), allocatable :: del_rij integer, dimension(:), allocatable :: i_sortr type(prt_t) :: prt_comb logical :: ok integer :: i, n, pdg_orig n = subevt_get_length (pl) allocate (del_rij (n), i_sortr (n)) do i = 1, n del_rij(i) = eta_phi_distance(prt_get_momentum (prt), & prt_get_momentum (pl%prt(i))) end do i_sortr = order (del_rij) call subevt_reset (subevt, pl%n_active) do i = 1, n - if (i == i_sortr(n)) then - if (del_rij (i_sortr (n)) <= reco_r0 .and. mask1) then - pdg_orig = prt_get_pdg (pl%prt (i_sortr (n))) - call prt_combine (prt_comb, prt, pl%prt(i_sortr (n)), ok) + if (i == i_sortr(1)) then + if (del_rij (i_sortr (1)) <= reco_r0 .and. mask1) then + pdg_orig = prt_get_pdg (pl%prt (i_sortr (1))) + call prt_combine (prt_comb, prt, pl%prt(i_sortr (1)), ok) if (ok) then - subevt%prt(i_sortr (n)) = prt_comb + subevt%prt(i_sortr (1)) = prt_comb if (keep_flv) call prt_set_pdg & - (subevt%prt(i_sortr (n)), pdg_orig) + (subevt%prt(i_sortr (1)), pdg_orig) end if end if else subevt%prt(i) = pl%prt(i) end if end do end subroutine subevt_recombine @ %def subevt_recombine @ Return a list of all particles for which the mask is true. <<Subevents: public>>= public :: subevt_select <<Subevents: procedures>>= subroutine subevt_select (subevt, pl, mask1) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl logical, dimension(:), intent(in) :: mask1 integer :: i, n call subevt_reset (subevt, pl%n_active) n = 0 do i = 1, pl%n_active if (mask1(i)) then n = n + 1 subevt%prt(n) = pl%prt(i) end if end do subevt%n_active = n end subroutine subevt_select @ %def subevt_select @ Return a subevent which consists of the single particle with specified [[index]]. If [[index]] is negative, count from the end. If it is out of bounds, return an empty list. <<Subevents: public>>= public :: subevt_extract <<Subevents: procedures>>= subroutine subevt_extract (subevt, pl, index) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl integer, intent(in) :: index if (index > 0) then if (index <= pl%n_active) then call subevt_reset (subevt, 1) subevt%prt(1) = pl%prt(index) else call subevt_reset (subevt, 0) end if else if (index < 0) then if (abs (index) <= pl%n_active) then call subevt_reset (subevt, 1) subevt%prt(1) = pl%prt(pl%n_active + 1 + index) else call subevt_reset (subevt, 0) end if else call subevt_reset (subevt, 0) end if end subroutine subevt_extract @ %def subevt_extract @ Return the list of particles sorted according to increasing values of the provided integer or real array. If no array is given, sort by PDG value. <<Subevents: public>>= public :: subevt_sort <<Subevents: interfaces>>= interface subevt_sort module procedure subevt_sort_pdg module procedure subevt_sort_int module procedure subevt_sort_real end interface <<Subevents: procedures>>= subroutine subevt_sort_pdg (subevt, pl) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl integer :: n n = subevt%n_active call subevt_sort_int (subevt, pl, abs (3 * subevt%prt(:n)%pdg - 1)) end subroutine subevt_sort_pdg subroutine subevt_sort_int (subevt, pl, ival) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl integer, dimension(:), intent(in) :: ival call subevt_reset (subevt, pl%n_active) subevt%n_active = pl%n_active subevt%prt = pl%prt( order (ival) ) end subroutine subevt_sort_int subroutine subevt_sort_real (subevt, pl, rval) type(subevt_t), intent(inout) :: subevt type(subevt_t), intent(in) :: pl real(default), dimension(:), intent(in) :: rval integer :: i integer, dimension(size(rval)) :: idx call subevt_reset (subevt, pl%n_active) subevt%n_active = pl%n_active if (allocated (subevt%prt)) deallocate (subevt%prt) allocate (subevt%prt (size(pl%prt))) idx = order (rval) do i = 1, size (idx) subevt%prt(i) = pl%prt (idx(i)) end do end subroutine subevt_sort_real @ %def subevt_sort @ Return the list of particles which have any of the specified PDG codes (and optionally particle type: beam, incoming, outgoing). <<Subevents: public>>= public :: subevt_select_pdg_code <<Subevents: procedures>>= subroutine subevt_select_pdg_code (subevt, aval, subevt_in, prt_type) type(subevt_t), intent(inout) :: subevt type(pdg_array_t), intent(in) :: aval type(subevt_t), intent(in) :: subevt_in integer, intent(in), optional :: prt_type integer :: n_active, n_match logical, dimension(:), allocatable :: mask integer :: i, j n_active = subevt_in%n_active allocate (mask (n_active)) forall (i = 1:n_active) & mask(i) = aval .match. subevt_in%prt(i)%pdg if (present (prt_type)) & mask = mask .and. subevt_in%prt(:n_active)%type == prt_type n_match = count (mask) call subevt_reset (subevt, n_match) j = 0 do i = 1, n_active if (mask(i)) then j = j + 1 subevt%prt(j) = subevt_in%prt(i) end if end do end subroutine subevt_select_pdg_code @ %def subevt_select_pdg_code @ \subsection{Eliminate numerical noise} This is useful for testing purposes: set entries to zero that are smaller in absolute values than a given tolerance parameter. Note: instead of setting the tolerance in terms of EPSILON (kind-dependent), we fix it to $10^{-16}$, which is the typical value for double precision. The reason is that there are situations where intermediate representations (external libraries, files) are limited to double precision, even if the main program uses higher precision. <<Subevents: public>>= public :: pacify <<Subevents: interfaces>>= interface pacify module procedure pacify_prt module procedure pacify_subevt end interface pacify @ %def pacify <<Subevents: procedures>>= subroutine pacify_prt (prt) class(prt_t), intent(inout) :: prt real(default) :: e e = max (1E-10_default * energy (prt%p), 1E-13_default) call pacify (prt%p, e) call pacify (prt%p2, 1E3_default * e) end subroutine pacify_prt subroutine pacify_subevt (subevt) class(subevt_t), intent(inout) :: subevt integer :: i do i = 1, subevt%n_active call pacify (subevt%prt(i)) end do end subroutine pacify_subevt @ %def pacify_prt @ %def pacify_subevt @ \clearpage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Analysis tools} This module defines structures useful for data analysis. These include observables, histograms, and plots. Observables are quantities that are calculated and summed up event by event. At the end, one can compute the average and error. Histograms have their bins in addition to the observable properties. Histograms are usually written out in tables and displayed graphically. In plots, each record creates its own entry in a table. This can be used for scatter plots if called event by event, or for plotting dependencies on parameters if called once per integration run. Graphs are container for histograms and plots, which carry their own graphics options. The type layout is still somewhat obfuscated. This would become much simpler if type extension could be used. <<[[analysis.f90]]>>= <<File header>> module analysis <<Use kinds>> <<Use strings>> use io_units use format_utils, only: quote_underscore, tex_format use system_defs, only: TAB use diagnostics use os_interface use ifiles <<Standard module head>> <<Analysis: public>> <<Analysis: parameters>> <<Analysis: types>> <<Analysis: interfaces>> <<Analysis: variables>> contains <<Analysis: procedures>> end module analysis @ %def analysis @ \subsection{Output formats} These formats share a common field width (alignment). <<Analysis: parameters>>= character(*), parameter, public :: HISTOGRAM_HEAD_FORMAT = "1x,A15,3x" character(*), parameter, public :: HISTOGRAM_INTG_FORMAT = "3x,I9,3x" character(*), parameter, public :: HISTOGRAM_DATA_FORMAT = "ES19.12" @ %def HISTOGRAM_HEAD_FORMAT HISTOGRAM_INTG_FORMAT HISTOGRAM_DATA_FORMAT @ \subsection{Graph options} These parameters are used for displaying data. They apply to a whole graph, which may contain more than one plot element. The GAMELAN code chunks are part of both [[graph_options]] and [[drawing_options]]. The [[drawing_options]] copy is used in histograms and plots, also as graph elements. The [[graph_options]] copy is used for [[graph]] objects as a whole. Both copies are usually identical. <<Analysis: public>>= public :: graph_options_t <<Analysis: types>>= type :: graph_options_t private type(string_t) :: id type(string_t) :: title type(string_t) :: description type(string_t) :: x_label type(string_t) :: y_label integer :: width_mm = 130 integer :: height_mm = 90 logical :: x_log = .false. logical :: y_log = .false. real(default) :: x_min = 0 real(default) :: x_max = 1 real(default) :: y_min = 0 real(default) :: y_max = 1 logical :: x_min_set = .false. logical :: x_max_set = .false. logical :: y_min_set = .false. logical :: y_max_set = .false. type(string_t) :: gmlcode_bg type(string_t) :: gmlcode_fg end type graph_options_t @ %def graph_options_t @ Initialize the record, all strings are empty. The limits are undefined. <<Analysis: public>>= public :: graph_options_init <<Analysis: procedures>>= subroutine graph_options_init (graph_options) type(graph_options_t), intent(out) :: graph_options graph_options%id = "" graph_options%title = "" graph_options%description = "" graph_options%x_label = "" graph_options%y_label = "" graph_options%gmlcode_bg = "" graph_options%gmlcode_fg = "" end subroutine graph_options_init @ %def graph_options_init @ Set individual options. <<Analysis: public>>= public :: graph_options_set <<Analysis: procedures>>= subroutine graph_options_set (graph_options, id, & title, description, x_label, y_label, width_mm, height_mm, & x_log, y_log, x_min, x_max, y_min, y_max, & gmlcode_bg, gmlcode_fg) type(graph_options_t), intent(inout) :: graph_options type(string_t), intent(in), optional :: id type(string_t), intent(in), optional :: title type(string_t), intent(in), optional :: description type(string_t), intent(in), optional :: x_label, y_label integer, intent(in), optional :: width_mm, height_mm logical, intent(in), optional :: x_log, y_log real(default), intent(in), optional :: x_min, x_max, y_min, y_max type(string_t), intent(in), optional :: gmlcode_bg, gmlcode_fg if (present (id)) graph_options%id = id if (present (title)) graph_options%title = title if (present (description)) graph_options%description = description if (present (x_label)) graph_options%x_label = x_label if (present (y_label)) graph_options%y_label = y_label if (present (width_mm)) graph_options%width_mm = width_mm if (present (height_mm)) graph_options%height_mm = height_mm if (present (x_log)) graph_options%x_log = x_log if (present (y_log)) graph_options%y_log = y_log if (present (x_min)) graph_options%x_min = x_min if (present (x_max)) graph_options%x_max = x_max if (present (y_min)) graph_options%y_min = y_min if (present (y_max)) graph_options%y_max = y_max if (present (x_min)) graph_options%x_min_set = .true. if (present (x_max)) graph_options%x_max_set = .true. if (present (y_min)) graph_options%y_min_set = .true. if (present (y_max)) graph_options%y_max_set = .true. if (present (gmlcode_bg)) graph_options%gmlcode_bg = gmlcode_bg if (present (gmlcode_fg)) graph_options%gmlcode_fg = gmlcode_fg end subroutine graph_options_set @ %def graph_options_set @ Write a simple account of all options. <<Analysis: public>>= public :: graph_options_write <<Analysis: procedures>>= subroutine graph_options_write (gro, unit) type(graph_options_t), intent(in) :: gro integer, intent(in), optional :: unit integer :: u u = given_output_unit (unit) 1 format (A,1x,'"',A,'"') 2 format (A,1x,L1) 3 format (A,1x,ES19.12) 4 format (A,1x,I0) 5 format (A,1x,'[undefined]') write (u, 1) "title =", char (gro%title) write (u, 1) "description =", char (gro%description) write (u, 1) "x_label =", char (gro%x_label) write (u, 1) "y_label =", char (gro%y_label) write (u, 2) "x_log =", gro%x_log write (u, 2) "y_log =", gro%y_log if (gro%x_min_set) then write (u, 3) "x_min =", gro%x_min else write (u, 5) "x_min =" end if if (gro%x_max_set) then write (u, 3) "x_max =", gro%x_max else write (u, 5) "x_max =" end if if (gro%y_min_set) then write (u, 3) "y_min =", gro%y_min else write (u, 5) "y_min =" end if if (gro%y_max_set) then write (u, 3) "y_max =", gro%y_max else write (u, 5) "y_max =" end if write (u, 4) "width_mm =", gro%width_mm write (u, 4) "height_mm =", gro%height_mm write (u, 1) "gmlcode_bg =", char (gro%gmlcode_bg) write (u, 1) "gmlcode_fg =", char (gro%gmlcode_fg) end subroutine graph_options_write @ %def graph_options_write @ Write a \LaTeX\ header/footer for the analysis file. <<Analysis: procedures>>= subroutine graph_options_write_tex_header (gro, unit) type(graph_options_t), intent(in) :: gro integer, intent(in), optional :: unit integer :: u u = given_output_unit (unit) if (gro%title /= "") then write (u, "(A)") write (u, "(A)") "\section{" // char (gro%title) // "}" else write (u, "(A)") "\section{" // char (quote_underscore (gro%id)) // "}" end if if (gro%description /= "") then write (u, "(A)") char (gro%description) write (u, *) write (u, "(A)") "\vspace*{\baselineskip}" end if write (u, "(A)") "\vspace*{\baselineskip}" write (u, "(A)") "\unitlength 1mm" write (u, "(A,I0,',',I0,A)") & "\begin{gmlgraph*}(", & gro%width_mm, gro%height_mm, & ")[dat]" end subroutine graph_options_write_tex_header subroutine graph_options_write_tex_footer (gro, unit) type(graph_options_t), intent(in) :: gro integer, intent(in), optional :: unit integer :: u, width, height width = gro%width_mm - 10 height = gro%height_mm - 10 u = given_output_unit (unit) write (u, "(A)") " begingmleps ""Whizard-Logo.eps"";" write (u, "(A,I0,A,I0,A)") & " base := (", width, "*unitlength,", height, "*unitlength);" write (u, "(A)") " height := 9.6*unitlength;" write (u, "(A)") " width := 11.2*unitlength;" write (u, "(A)") " endgmleps;" write (u, "(A)") "\end{gmlgraph*}" end subroutine graph_options_write_tex_footer @ %def graph_options_write_tex_header @ %def graph_options_write_tex_footer @ Return the analysis object ID. <<Analysis: procedures>>= function graph_options_get_id (gro) result (id) type(string_t) :: id type(graph_options_t), intent(in) :: gro id = gro%id end function graph_options_get_id @ %def graph_options_get_id @ Create an appropriate [[setup]] command (linear/log). <<Analysis: procedures>>= function graph_options_get_gml_setup (gro) result (cmd) type(string_t) :: cmd type(graph_options_t), intent(in) :: gro type(string_t) :: x_str, y_str if (gro%x_log) then x_str = "log" else x_str = "linear" end if if (gro%y_log) then y_str = "log" else y_str = "linear" end if cmd = "setup (" // x_str // ", " // y_str // ");" end function graph_options_get_gml_setup @ %def graph_options_get_gml_setup @ Return the labels in GAMELAN form. <<Analysis: procedures>>= function graph_options_get_gml_x_label (gro) result (cmd) type(string_t) :: cmd type(graph_options_t), intent(in) :: gro cmd = 'label.bot (<' // '<' // gro%x_label // '>' // '>, out);' end function graph_options_get_gml_x_label function graph_options_get_gml_y_label (gro) result (cmd) type(string_t) :: cmd type(graph_options_t), intent(in) :: gro cmd = 'label.ulft (<' // '<' // gro%y_label // '>' // '>, out);' end function graph_options_get_gml_y_label @ %def graph_options_get_gml_x_label @ %def graph_options_get_gml_y_label @ Create an appropriate [[graphrange]] statement for the given graph options. Where the graph options are not set, use the supplied arguments, if any, otherwise set the undefined value. <<Analysis: procedures>>= function graph_options_get_gml_graphrange & (gro, x_min, x_max, y_min, y_max) result (cmd) type(string_t) :: cmd type(graph_options_t), intent(in) :: gro real(default), intent(in), optional :: x_min, x_max, y_min, y_max type(string_t) :: x_min_str, x_max_str, y_min_str, y_max_str character(*), parameter :: fmt = "(ES15.8)" if (gro%x_min_set) then x_min_str = "#" // trim (adjustl (real2string (gro%x_min, fmt))) else if (present (x_min)) then x_min_str = "#" // trim (adjustl (real2string (x_min, fmt))) else x_min_str = "??" end if if (gro%x_max_set) then x_max_str = "#" // trim (adjustl (real2string (gro%x_max, fmt))) else if (present (x_max)) then x_max_str = "#" // trim (adjustl (real2string (x_max, fmt))) else x_max_str = "??" end if if (gro%y_min_set) then y_min_str = "#" // trim (adjustl (real2string (gro%y_min, fmt))) else if (present (y_min)) then y_min_str = "#" // trim (adjustl (real2string (y_min, fmt))) else y_min_str = "??" end if if (gro%y_max_set) then y_max_str = "#" // trim (adjustl (real2string (gro%y_max, fmt))) else if (present (y_max)) then y_max_str = "#" // trim (adjustl (real2string (y_max, fmt))) else y_max_str = "??" end if cmd = "graphrange (" // x_min_str // ", " // y_min_str // "), " & // "(" // x_max_str // ", " // y_max_str // ");" end function graph_options_get_gml_graphrange @ %def graph_options_get_gml_graphrange @ Get extra GAMELAN code to be executed before and after the usual drawing commands. <<Analysis: procedures>>= function graph_options_get_gml_bg_command (gro) result (cmd) type(string_t) :: cmd type(graph_options_t), intent(in) :: gro cmd = gro%gmlcode_bg end function graph_options_get_gml_bg_command function graph_options_get_gml_fg_command (gro) result (cmd) type(string_t) :: cmd type(graph_options_t), intent(in) :: gro cmd = gro%gmlcode_fg end function graph_options_get_gml_fg_command @ %def graph_options_get_gml_bg_command @ %def graph_options_get_gml_fg_command @ Append the header for generic data output in ifile format. We print only labels, not graphics parameters. <<Analysis: procedures>>= subroutine graph_options_get_header (pl, header, comment) type(graph_options_t), intent(in) :: pl type(ifile_t), intent(inout) :: header type(string_t), intent(in), optional :: comment type(string_t) :: c if (present (comment)) then c = comment else c = "" end if call ifile_append (header, & c // "ID: " // pl%id) call ifile_append (header, & c // "title: " // pl%title) call ifile_append (header, & c // "description: " // pl%description) call ifile_append (header, & c // "x axis label: " // pl%x_label) call ifile_append (header, & c // "y axis label: " // pl%y_label) end subroutine graph_options_get_header @ %def graph_options_get_header @ \subsection{Drawing options} These options apply to an individual graph element (histogram or plot). <<Analysis: public>>= public :: drawing_options_t <<Analysis: types>>= type :: drawing_options_t type(string_t) :: dataset logical :: with_hbars = .false. logical :: with_base = .false. logical :: piecewise = .false. logical :: fill = .false. logical :: draw = .false. logical :: err = .false. logical :: symbols = .false. type(string_t) :: fill_options type(string_t) :: draw_options type(string_t) :: err_options type(string_t) :: symbol type(string_t) :: gmlcode_bg type(string_t) :: gmlcode_fg end type drawing_options_t @ %def drawing_options_t @ Write a simple account of all options. <<Analysis: public>>= public :: drawing_options_write <<Analysis: procedures>>= subroutine drawing_options_write (dro, unit) type(drawing_options_t), intent(in) :: dro integer, intent(in), optional :: unit integer :: u u = given_output_unit (unit) 1 format (A,1x,'"',A,'"') 2 format (A,1x,L1) write (u, 2) "with_hbars =", dro%with_hbars write (u, 2) "with_base =", dro%with_base write (u, 2) "piecewise =", dro%piecewise write (u, 2) "fill =", dro%fill write (u, 2) "draw =", dro%draw write (u, 2) "err =", dro%err write (u, 2) "symbols =", dro%symbols write (u, 1) "fill_options=", char (dro%fill_options) write (u, 1) "draw_options=", char (dro%draw_options) write (u, 1) "err_options =", char (dro%err_options) write (u, 1) "symbol =", char (dro%symbol) write (u, 1) "gmlcode_bg =", char (dro%gmlcode_bg) write (u, 1) "gmlcode_fg =", char (dro%gmlcode_fg) end subroutine drawing_options_write @ %def drawing_options_write @ Init with empty strings and default options, appropriate for either histogram or plot. <<Analysis: public>>= public :: drawing_options_init_histogram public :: drawing_options_init_plot <<Analysis: procedures>>= subroutine drawing_options_init_histogram (dro) type(drawing_options_t), intent(out) :: dro dro%dataset = "dat" dro%with_hbars = .true. dro%with_base = .true. dro%piecewise = .true. dro%fill = .true. dro%draw = .true. dro%fill_options = "withcolor col.default" dro%draw_options = "" dro%err_options = "" dro%symbol = "fshape(circle scaled 1mm)()" dro%gmlcode_bg = "" dro%gmlcode_fg = "" end subroutine drawing_options_init_histogram subroutine drawing_options_init_plot (dro) type(drawing_options_t), intent(out) :: dro dro%dataset = "dat" dro%draw = .true. dro%fill_options = "withcolor col.default" dro%draw_options = "" dro%err_options = "" dro%symbol = "fshape(circle scaled 1mm)()" dro%gmlcode_bg = "" dro%gmlcode_fg = "" end subroutine drawing_options_init_plot @ %def drawing_options_init_histogram @ %def drawing_options_init_plot @ Set individual options. <<Analysis: public>>= public :: drawing_options_set <<Analysis: procedures>>= subroutine drawing_options_set (dro, dataset, & with_hbars, with_base, piecewise, fill, draw, err, symbols, & fill_options, draw_options, err_options, symbol, & gmlcode_bg, gmlcode_fg) type(drawing_options_t), intent(inout) :: dro type(string_t), intent(in), optional :: dataset logical, intent(in), optional :: with_hbars, with_base, piecewise logical, intent(in), optional :: fill, draw, err, symbols type(string_t), intent(in), optional :: fill_options, draw_options type(string_t), intent(in), optional :: err_options, symbol type(string_t), intent(in), optional :: gmlcode_bg, gmlcode_fg if (present (dataset)) dro%dataset = dataset if (present (with_hbars)) dro%with_hbars = with_hbars if (present (with_base)) dro%with_base = with_base if (present (piecewise)) dro%piecewise = piecewise if (present (fill)) dro%fill = fill if (present (draw)) dro%draw = draw if (present (err)) dro%err = err if (present (symbols)) dro%symbols = symbols if (present (fill_options)) dro%fill_options = fill_options if (present (draw_options)) dro%draw_options = draw_options if (present (err_options)) dro%err_options = err_options if (present (symbol)) dro%symbol = symbol if (present (gmlcode_bg)) dro%gmlcode_bg = gmlcode_bg if (present (gmlcode_fg)) dro%gmlcode_fg = gmlcode_fg end subroutine drawing_options_set @ %def drawing_options_set @ There are sepate commands for drawing the curve and for drawing errors. The symbols are applied to the latter. First of all, we may have to compute a baseline: <<Analysis: procedures>>= function drawing_options_get_calc_command (dro) result (cmd) type(string_t) :: cmd type(drawing_options_t), intent(in) :: dro if (dro%with_base) then cmd = "calculate " // dro%dataset // ".base (" // dro%dataset // ") " & // "(x, #0);" else cmd = "" end if end function drawing_options_get_calc_command @ %def drawing_options_get_calc_command @ Return the drawing command. <<Analysis: procedures>>= function drawing_options_get_draw_command (dro) result (cmd) type(string_t) :: cmd type(drawing_options_t), intent(in) :: dro if (dro%fill) then cmd = "fill" else if (dro%draw) then cmd = "draw" else cmd = "" end if if (dro%fill .or. dro%draw) then if (dro%piecewise) cmd = cmd // " piecewise" if (dro%draw .and. dro%with_base) cmd = cmd // " cyclic" cmd = cmd // " from (" // dro%dataset if (dro%with_base) then if (dro%piecewise) then cmd = cmd // ", " // dro%dataset // ".base/\" ! " else cmd = cmd // " ~ " // dro%dataset // ".base\" ! " end if end if cmd = cmd // ")" if (dro%fill) then cmd = cmd // " " // dro%fill_options if (dro%draw) cmd = cmd // " outlined" end if if (dro%draw) cmd = cmd // " " // dro%draw_options cmd = cmd // ";" end if end function drawing_options_get_draw_command @ %def drawing_options_get_draw_command @ The error command draws error bars, if any. <<Analysis: procedures>>= function drawing_options_get_err_command (dro) result (cmd) type(string_t) :: cmd type(drawing_options_t), intent(in) :: dro if (dro%err) then cmd = "draw piecewise " & // "from (" // dro%dataset // ".err)" & // " " // dro%err_options // ";" else cmd = "" end if end function drawing_options_get_err_command @ %def drawing_options_get_err_command @ The symbol command draws symbols, if any. <<Analysis: procedures>>= function drawing_options_get_symb_command (dro) result (cmd) type(string_t) :: cmd type(drawing_options_t), intent(in) :: dro if (dro%symbols) then cmd = "phantom" & // " from (" // dro%dataset // ")" & // " withsymbol (" // dro%symbol // ");" else cmd = "" end if end function drawing_options_get_symb_command @ %def drawing_options_get_symb_command @ Get extra GAMELAN code to be executed before and after the usual drawing commands. <<Analysis: procedures>>= function drawing_options_get_gml_bg_command (dro) result (cmd) type(string_t) :: cmd type(drawing_options_t), intent(in) :: dro cmd = dro%gmlcode_bg end function drawing_options_get_gml_bg_command function drawing_options_get_gml_fg_command (dro) result (cmd) type(string_t) :: cmd type(drawing_options_t), intent(in) :: dro cmd = dro%gmlcode_fg end function drawing_options_get_gml_fg_command @ %def drawing_options_get_gml_bg_command @ %def drawing_options_get_gml_fg_command @ \subsection{Observables} The observable type holds the accumulated observable values and weight sums which are necessary for proper averaging. <<Analysis: types>>= type :: observable_t private real(default) :: sum_values = 0 real(default) :: sum_squared_values = 0 real(default) :: sum_weights = 0 real(default) :: sum_squared_weights = 0 integer :: count = 0 type(string_t) :: obs_label type(string_t) :: obs_unit type(graph_options_t) :: graph_options end type observable_t @ %def observable_t @ Initialize with defined properties <<Analysis: procedures>>= subroutine observable_init (obs, obs_label, obs_unit, graph_options) type(observable_t), intent(out) :: obs type(string_t), intent(in), optional :: obs_label, obs_unit type(graph_options_t), intent(in), optional :: graph_options if (present (obs_label)) then obs%obs_label = obs_label else obs%obs_label = "" end if if (present (obs_unit)) then obs%obs_unit = obs_unit else obs%obs_unit = "" end if if (present (graph_options)) then obs%graph_options = graph_options else call graph_options_init (obs%graph_options) end if end subroutine observable_init @ %def observable_init @ Reset all numeric entries. <<Analysis: procedures>>= subroutine observable_clear (obs) type(observable_t), intent(inout) :: obs obs%sum_values = 0 obs%sum_squared_values = 0 obs%sum_weights = 0 obs%sum_squared_weights = 0 obs%count = 0 end subroutine observable_clear @ %def observable_clear @ Record a value. Always successful for observables. <<Analysis: interfaces>>= interface observable_record_value module procedure observable_record_value_unweighted module procedure observable_record_value_weighted end interface <<Analysis: procedures>>= subroutine observable_record_value_unweighted (obs, value, success) type(observable_t), intent(inout) :: obs real(default), intent(in) :: value logical, intent(out), optional :: success obs%sum_values = obs%sum_values + value obs%sum_squared_values = obs%sum_squared_values + value**2 obs%sum_weights = obs%sum_weights + 1 obs%sum_squared_weights = obs%sum_squared_weights + 1 obs%count = obs%count + 1 if (present (success)) success = .true. end subroutine observable_record_value_unweighted subroutine observable_record_value_weighted (obs, value, weight, success) type(observable_t), intent(inout) :: obs real(default), intent(in) :: value, weight logical, intent(out), optional :: success obs%sum_values = obs%sum_values + value * weight obs%sum_squared_values = obs%sum_squared_values + value**2 * weight obs%sum_weights = obs%sum_weights + weight obs%sum_squared_weights = obs%sum_squared_weights + weight**2 obs%count = obs%count + 1 if (present (success)) success = .true. end subroutine observable_record_value_weighted @ %def observable_record_value @ Here are the statistics formulas: \begin{enumerate} \item Unweighted case: Given a sample of $n$ values $x_i$, the average is \begin{equation} \langle x \rangle = \frac{\sum x_i}{n} \end{equation} and the error estimate \begin{align} \Delta x &= \sqrt{\frac{1}{n-1}\langle{\sum(x_i - \langle x\rangle)^2}} \\ &= \sqrt{\frac{1}{n-1} \left(\frac{\sum x_i^2}{n} - \frac{(\sum x_i)^2}{n^2}\right)} \end{align} \item Weighted case: Instead of weight 1, each event comes with weight $w_i$. \begin{equation} \langle x \rangle = \frac{\sum x_i w_i}{\sum w_i} \end{equation} and \begin{equation} \Delta x = \sqrt{\frac{1}{n-1} \left(\frac{\sum x_i^2 w_i}{\sum w_i} - \frac{(\sum x_i w_i)^2}{(\sum w_i)^2}\right)} \end{equation} For $w_i=1$, this specializes to the previous formula. \end{enumerate} <<Analysis: procedures>>= function observable_get_n_entries (obs) result (n) integer :: n type(observable_t), intent(in) :: obs n = obs%count end function observable_get_n_entries function observable_get_average (obs) result (avg) real(default) :: avg type(observable_t), intent(in) :: obs if (obs%sum_weights /= 0) then avg = obs%sum_values / obs%sum_weights else avg = 0 end if end function observable_get_average function observable_get_error (obs) result (err) real(default) :: err type(observable_t), intent(in) :: obs real(default) :: var, n if (obs%sum_weights /= 0) then select case (obs%count) case (0:1) err = 0 case default n = obs%count var = obs%sum_squared_values / obs%sum_weights & - (obs%sum_values / obs%sum_weights) ** 2 err = sqrt (max (var, 0._default) / (n - 1)) end select else err = 0 end if end function observable_get_error @ %def observable_get_n_entries @ %def observable_get_sum @ %def observable_get_average @ %def observable_get_error @ Write label and/or physical unit to a string. <<Analysis: procedures>>= function observable_get_label (obs, wl, wu) result (string) type(string_t) :: string type(observable_t), intent(in) :: obs logical, intent(in) :: wl, wu type(string_t) :: obs_label, obs_unit if (wl) then if (obs%obs_label /= "") then obs_label = obs%obs_label else obs_label = "\textrm{Observable}" end if else obs_label = "" end if if (wu) then if (obs%obs_unit /= "") then if (wl) then obs_unit = "\;[" // obs%obs_unit // "]" else obs_unit = obs%obs_unit end if else obs_unit = "" end if else obs_unit = "" end if string = obs_label // obs_unit end function observable_get_label @ %def observable_get_label @ \subsection{Output} <<Analysis: procedures>>= subroutine observable_write (obs, unit) type(observable_t), intent(in) :: obs integer, intent(in), optional :: unit real(default) :: avg, err, relerr integer :: n integer :: u u = given_output_unit (unit); if (u < 0) return avg = observable_get_average (obs) err = observable_get_error (obs) if (avg /= 0) then relerr = err / abs (avg) else relerr = 0 end if n = observable_get_n_entries (obs) if (obs%graph_options%title /= "") then write (u, "(A,1x,3A)") & "title =", '"', char (obs%graph_options%title), '"' end if if (obs%graph_options%title /= "") then write (u, "(A,1x,3A)") & "description =", '"', char (obs%graph_options%description), '"' end if write (u, "(A,1x," // HISTOGRAM_DATA_FORMAT // ")", advance = "no") & "average =", avg call write_unit () write (u, "(A,1x," // HISTOGRAM_DATA_FORMAT // ")", advance = "no") & "error[abs] =", err call write_unit () write (u, "(A,1x," // HISTOGRAM_DATA_FORMAT // ")") & "error[rel] =", relerr write (u, "(A,1x,I0)") & "n_entries =", n contains subroutine write_unit () if (obs%obs_unit /= "") then write (u, "(1x,A)") char (obs%obs_unit) else write (u, *) end if end subroutine write_unit end subroutine observable_write @ %def observable_write @ \LaTeX\ output. <<Analysis: procedures>>= subroutine observable_write_driver (obs, unit, write_heading) type(observable_t), intent(in) :: obs integer, intent(in), optional :: unit logical, intent(in), optional :: write_heading real(default) :: avg, err integer :: n_digits logical :: heading integer :: u u = given_output_unit (unit); if (u < 0) return heading = .true.; if (present (write_heading)) heading = write_heading avg = observable_get_average (obs) err = observable_get_error (obs) if (avg /= 0 .and. err /= 0) then n_digits = max (2, 2 - int (log10 (abs (err / real (avg, default))))) else if (avg /= 0) then n_digits = 100 else n_digits = 1 end if if (heading) then write (u, "(A)") if (obs%graph_options%title /= "") then write (u, "(A)") "\section{" // char (obs%graph_options%title) & // "}" else write (u, "(A)") "\section{Observable}" end if if (obs%graph_options%description /= "") then write (u, "(A)") char (obs%graph_options%description) write (u, *) end if write (u, "(A)") "\begin{flushleft}" end if write (u, "(A)", advance="no") " $\langle{" ! $ sign write (u, "(A)", advance="no") char (observable_get_label (obs, wl=.true., wu=.false.)) write (u, "(A)", advance="no") "}\rangle = " write (u, "(A)", advance="no") char (tex_format (avg, n_digits)) write (u, "(A)", advance="no") "\pm" write (u, "(A)", advance="no") char (tex_format (err, 2)) write (u, "(A)", advance="no") "\;{" write (u, "(A)", advance="no") char (observable_get_label (obs, wl=.false., wu=.true.)) write (u, "(A)") "}" write (u, "(A)", advance="no") " \quad[n_{\text{entries}} = " write (u, "(I0)",advance="no") observable_get_n_entries (obs) write (u, "(A)") "]$" ! $ fool Emacs' noweb mode if (heading) then write (u, "(A)") "\end{flushleft}" end if end subroutine observable_write_driver @ %def observable_write_driver @ \subsection{Histograms} \subsubsection{Bins} <<Analysis: types>>= type :: bin_t private real(default) :: midpoint = 0 real(default) :: width = 0 real(default) :: sum_weights = 0 real(default) :: sum_squared_weights = 0 real(default) :: sum_excess_weights = 0 integer :: count = 0 end type bin_t @ %def bin_t <<Analysis: procedures>>= subroutine bin_init (bin, midpoint, width) type(bin_t), intent(out) :: bin real(default), intent(in) :: midpoint, width bin%midpoint = midpoint bin%width = width end subroutine bin_init @ %def bin_init <<Analysis: procedures>>= elemental subroutine bin_clear (bin) type(bin_t), intent(inout) :: bin bin%sum_weights = 0 bin%sum_squared_weights = 0 bin%sum_excess_weights = 0 bin%count = 0 end subroutine bin_clear @ %def bin_clear <<Analysis: procedures>>= subroutine bin_record_value (bin, normalize, weight, excess) type(bin_t), intent(inout) :: bin logical, intent(in) :: normalize real(default), intent(in) :: weight real(default), intent(in), optional :: excess real(default) :: w, e if (normalize) then if (bin%width /= 0) then w = weight / bin%width if (present (excess)) e = excess / bin%width else w = 0 if (present (excess)) e = 0 end if else w = weight if (present (excess)) e = excess end if bin%sum_weights = bin%sum_weights + w bin%sum_squared_weights = bin%sum_squared_weights + w ** 2 if (present (excess)) & bin%sum_excess_weights = bin%sum_excess_weights + abs (e) bin%count = bin%count + 1 end subroutine bin_record_value @ %def bin_record_value <<Analysis: procedures>>= function bin_get_midpoint (bin) result (x) real(default) :: x type(bin_t), intent(in) :: bin x = bin%midpoint end function bin_get_midpoint function bin_get_width (bin) result (w) real(default) :: w type(bin_t), intent(in) :: bin w = bin%width end function bin_get_width function bin_get_n_entries (bin) result (n) integer :: n type(bin_t), intent(in) :: bin n = bin%count end function bin_get_n_entries function bin_get_sum (bin) result (s) real(default) :: s type(bin_t), intent(in) :: bin s = bin%sum_weights end function bin_get_sum function bin_get_error (bin) result (err) real(default) :: err type(bin_t), intent(in) :: bin err = sqrt (bin%sum_squared_weights) end function bin_get_error function bin_get_excess (bin) result (excess) real(default) :: excess type(bin_t), intent(in) :: bin excess = bin%sum_excess_weights end function bin_get_excess @ %def bin_get_midpoint @ %def bin_get_width @ %def bin_get_n_entries @ %def bin_get_sum @ %def bin_get_error @ %def bin_get_excess <<Analysis: procedures>>= subroutine bin_write_header (unit) integer, intent(in), optional :: unit character(120) :: buffer integer :: u u = given_output_unit (unit); if (u < 0) return write (buffer, "(A,4(1x," //HISTOGRAM_HEAD_FORMAT // "),2x,A)") & "#", "bin midpoint", "value ", "error ", & "excess ", "n" write (u, "(A)") trim (buffer) end subroutine bin_write_header subroutine bin_write (bin, unit) type(bin_t), intent(in) :: bin integer, intent(in), optional :: unit integer :: u u = given_output_unit (unit); if (u < 0) return write (u, "(1x,4(1x," // HISTOGRAM_DATA_FORMAT // "),2x,I0)") & bin_get_midpoint (bin), & bin_get_sum (bin), & bin_get_error (bin), & bin_get_excess (bin), & bin_get_n_entries (bin) end subroutine bin_write @ %def bin_write_header @ %def bin_write @ \subsubsection{Histograms} <<Analysis: types>>= type :: histogram_t private real(default) :: lower_bound = 0 real(default) :: upper_bound = 0 real(default) :: width = 0 integer :: n_bins = 0 logical :: normalize_bins = .false. type(observable_t) :: obs type(observable_t) :: obs_within_bounds type(bin_t) :: underflow type(bin_t), dimension(:), allocatable :: bin type(bin_t) :: overflow type(graph_options_t) :: graph_options type(drawing_options_t) :: drawing_options end type histogram_t @ %def histogram_t @ \subsubsection{Initializer/finalizer} Initialize a histogram. We may provide either the bin width or the number of bins. A finalizer is not needed, since the histogram contains no pointer (sub)components. <<Analysis: interfaces>>= interface histogram_init module procedure histogram_init_n_bins module procedure histogram_init_bin_width end interface <<Analysis: procedures>>= subroutine histogram_init_n_bins (h, id, & lower_bound, upper_bound, n_bins, normalize_bins, & obs_label, obs_unit, graph_options, drawing_options) type(histogram_t), intent(out) :: h type(string_t), intent(in) :: id real(default), intent(in) :: lower_bound, upper_bound integer, intent(in) :: n_bins logical, intent(in) :: normalize_bins type(string_t), intent(in), optional :: obs_label, obs_unit type(graph_options_t), intent(in), optional :: graph_options type(drawing_options_t), intent(in), optional :: drawing_options real(default) :: bin_width integer :: i call observable_init (h%obs_within_bounds, obs_label, obs_unit) call observable_init (h%obs, obs_label, obs_unit) h%lower_bound = lower_bound h%upper_bound = upper_bound h%n_bins = max (n_bins, 1) h%width = h%upper_bound - h%lower_bound h%normalize_bins = normalize_bins bin_width = h%width / h%n_bins allocate (h%bin (h%n_bins)) call bin_init (h%underflow, h%lower_bound, 0._default) do i = 1, h%n_bins call bin_init (h%bin(i), & h%lower_bound - bin_width/2 + i * bin_width, bin_width) end do call bin_init (h%overflow, h%upper_bound, 0._default) if (present (graph_options)) then h%graph_options = graph_options else call graph_options_init (h%graph_options) end if call graph_options_set (h%graph_options, id = id) if (present (drawing_options)) then h%drawing_options = drawing_options else call drawing_options_init_histogram (h%drawing_options) end if end subroutine histogram_init_n_bins subroutine histogram_init_bin_width (h, id, & lower_bound, upper_bound, bin_width, normalize_bins, & obs_label, obs_unit, graph_options, drawing_options) type(histogram_t), intent(out) :: h type(string_t), intent(in) :: id real(default), intent(in) :: lower_bound, upper_bound, bin_width logical, intent(in) :: normalize_bins type(string_t), intent(in), optional :: obs_label, obs_unit type(graph_options_t), intent(in), optional :: graph_options type(drawing_options_t), intent(in), optional :: drawing_options integer :: n_bins if (bin_width /= 0) then n_bins = nint ((upper_bound - lower_bound) / bin_width) else n_bins = 1 end if call histogram_init_n_bins (h, id, & lower_bound, upper_bound, n_bins, normalize_bins, & obs_label, obs_unit, graph_options, drawing_options) end subroutine histogram_init_bin_width @ %def histogram_init @ Initialize a histogram by copying another one. Since [[h]] has no pointer (sub)components, intrinsic assignment is sufficient. Optionally, we replace the drawing options. <<Analysis: procedures>>= subroutine histogram_init_histogram (h, h_in, drawing_options) type(histogram_t), intent(out) :: h type(histogram_t), intent(in) :: h_in type(drawing_options_t), intent(in), optional :: drawing_options h = h_in if (present (drawing_options)) then h%drawing_options = drawing_options end if end subroutine histogram_init_histogram @ %def histogram_init_histogram @ \subsubsection{Fill histograms} Clear the histogram contents, but do not modify the structure. <<Analysis: procedures>>= subroutine histogram_clear (h) type(histogram_t), intent(inout) :: h call observable_clear (h%obs) call observable_clear (h%obs_within_bounds) call bin_clear (h%underflow) if (allocated (h%bin)) call bin_clear (h%bin) call bin_clear (h%overflow) end subroutine histogram_clear @ %def histogram_clear @ Record a value. Successful if the value is within bounds, otherwise it is recorded as under-/overflow. Optionally, we may provide an excess weight that could be returned by the unweighting procedure. <<Analysis: procedures>>= subroutine histogram_record_value_unweighted (h, value, excess, success) type(histogram_t), intent(inout) :: h real(default), intent(in) :: value real(default), intent(in), optional :: excess logical, intent(out), optional :: success integer :: i_bin call observable_record_value (h%obs, value) if (h%width /= 0) then i_bin = floor (((value - h%lower_bound) / h%width) * h%n_bins) + 1 else i_bin = 0 end if if (i_bin <= 0) then call bin_record_value (h%underflow, .false., 1._default, excess) if (present (success)) success = .false. else if (i_bin <= h%n_bins) then call observable_record_value (h%obs_within_bounds, value) call bin_record_value & (h%bin(i_bin), h%normalize_bins, 1._default, excess) if (present (success)) success = .true. else call bin_record_value (h%overflow, .false., 1._default, excess) if (present (success)) success = .false. end if end subroutine histogram_record_value_unweighted @ %def histogram_record_value_unweighted @ Weighted events: analogous, but no excess weight. <<Analysis: procedures>>= subroutine histogram_record_value_weighted (h, value, weight, success) type(histogram_t), intent(inout) :: h real(default), intent(in) :: value, weight logical, intent(out), optional :: success integer :: i_bin call observable_record_value (h%obs, value, weight) if (h%width /= 0) then i_bin = floor (((value - h%lower_bound) / h%width) * h%n_bins) + 1 else i_bin = 0 end if if (i_bin <= 0) then call bin_record_value (h%underflow, .false., weight) if (present (success)) success = .false. else if (i_bin <= h%n_bins) then call observable_record_value (h%obs_within_bounds, value, weight) call bin_record_value (h%bin(i_bin), h%normalize_bins, weight) if (present (success)) success = .true. else call bin_record_value (h%overflow, .false., weight) if (present (success)) success = .false. end if end subroutine histogram_record_value_weighted @ %def histogram_record_value_weighted @ \subsubsection{Access contents} Inherited from the observable component (all-over average etc.) <<Analysis: procedures>>= function histogram_get_n_entries (h) result (n) integer :: n type(histogram_t), intent(in) :: h n = observable_get_n_entries (h%obs) end function histogram_get_n_entries function histogram_get_average (h) result (avg) real(default) :: avg type(histogram_t), intent(in) :: h avg = observable_get_average (h%obs) end function histogram_get_average function histogram_get_error (h) result (err) real(default) :: err type(histogram_t), intent(in) :: h err = observable_get_error (h%obs) end function histogram_get_error @ %def histogram_get_n_entries @ %def histogram_get_average @ %def histogram_get_error @ Analogous, but applied only to events within bounds. <<Analysis: procedures>>= function histogram_get_n_entries_within_bounds (h) result (n) integer :: n type(histogram_t), intent(in) :: h n = observable_get_n_entries (h%obs_within_bounds) end function histogram_get_n_entries_within_bounds function histogram_get_average_within_bounds (h) result (avg) real(default) :: avg type(histogram_t), intent(in) :: h avg = observable_get_average (h%obs_within_bounds) end function histogram_get_average_within_bounds function histogram_get_error_within_bounds (h) result (err) real(default) :: err type(histogram_t), intent(in) :: h err = observable_get_error (h%obs_within_bounds) end function histogram_get_error_within_bounds @ %def histogram_get_n_entries_within_bounds @ %def histogram_get_average_within_bounds @ %def histogram_get_error_within_bounds Get the number of bins <<Analysis: procedures>>= function histogram_get_n_bins (h) result (n) type(histogram_t), intent(in) :: h integer :: n n = h%n_bins end function histogram_get_n_bins @ %def histogram_get_n_bins @ Check bins. If the index is zero or above the limit, return the results for underflow or overflow, respectively. <<Analysis: procedures>>= function histogram_get_n_entries_for_bin (h, i) result (n) integer :: n type(histogram_t), intent(in) :: h integer, intent(in) :: i if (i <= 0) then n = bin_get_n_entries (h%underflow) else if (i <= h%n_bins) then n = bin_get_n_entries (h%bin(i)) else n = bin_get_n_entries (h%overflow) end if end function histogram_get_n_entries_for_bin function histogram_get_sum_for_bin (h, i) result (avg) real(default) :: avg type(histogram_t), intent(in) :: h integer, intent(in) :: i if (i <= 0) then avg = bin_get_sum (h%underflow) else if (i <= h%n_bins) then avg = bin_get_sum (h%bin(i)) else avg = bin_get_sum (h%overflow) end if end function histogram_get_sum_for_bin function histogram_get_error_for_bin (h, i) result (err) real(default) :: err type(histogram_t), intent(in) :: h integer, intent(in) :: i if (i <= 0) then err = bin_get_error (h%underflow) else if (i <= h%n_bins) then err = bin_get_error (h%bin(i)) else err = bin_get_error (h%overflow) end if end function histogram_get_error_for_bin function histogram_get_excess_for_bin (h, i) result (err) real(default) :: err type(histogram_t), intent(in) :: h integer, intent(in) :: i if (i <= 0) then err = bin_get_excess (h%underflow) else if (i <= h%n_bins) then err = bin_get_excess (h%bin(i)) else err = bin_get_excess (h%overflow) end if end function histogram_get_excess_for_bin @ %def histogram_get_n_entries_for_bin @ %def histogram_get_sum_for_bin @ %def histogram_get_error_for_bin @ %def histogram_get_excess_for_bin @ Return a pointer to the graph options. <<Analysis: procedures>>= function histogram_get_graph_options_ptr (h) result (ptr) type(graph_options_t), pointer :: ptr type(histogram_t), intent(in), target :: h ptr => h%graph_options end function histogram_get_graph_options_ptr @ %def histogram_get_graph_options_ptr @ Return a pointer to the drawing options. <<Analysis: procedures>>= function histogram_get_drawing_options_ptr (h) result (ptr) type(drawing_options_t), pointer :: ptr type(histogram_t), intent(in), target :: h ptr => h%drawing_options end function histogram_get_drawing_options_ptr @ %def histogram_get_drawing_options_ptr @ \subsubsection{Output} <<Analysis: procedures>>= subroutine histogram_write (h, unit) type(histogram_t), intent(in) :: h integer, intent(in), optional :: unit integer :: u, i u = given_output_unit (unit); if (u < 0) return call bin_write_header (u) if (allocated (h%bin)) then do i = 1, h%n_bins call bin_write (h%bin(i), u) end do end if write (u, "(A)") write (u, "(A,1x,A)") "#", "Underflow:" call bin_write (h%underflow, u) write (u, "(A)") write (u, "(A,1x,A)") "#", "Overflow:" call bin_write (h%overflow, u) write (u, "(A)") write (u, "(A,1x,A)") "#", "Summary: data within bounds" call observable_write (h%obs_within_bounds, u) write (u, "(A)") write (u, "(A,1x,A)") "#", "Summary: all data" call observable_write (h%obs, u) write (u, "(A)") end subroutine histogram_write @ %def histogram_write @ Write the GAMELAN reader for histogram contents. <<Analysis: procedures>>= subroutine histogram_write_gml_reader (h, filename, unit) type(histogram_t), intent(in) :: h type(string_t), intent(in) :: filename integer, intent(in), optional :: unit character(*), parameter :: fmt = "(ES15.8)" integer :: u u = given_output_unit (unit); if (u < 0) return write (u, "(2x,A)") 'fromfile "' // char (filename) // '":' write (u, "(4x,A)") 'key "# Histogram:";' write (u, "(4x,A)") 'dx := #' & // real2char (h%width / h%n_bins / 2, fmt) // ';' write (u, "(4x,A)") 'for i withinblock:' write (u, "(6x,A)") 'get x, y, y.d, y.n, y.e;' if (h%drawing_options%with_hbars) then write (u, "(6x,A)") 'plot (' // char (h%drawing_options%dataset) & // ') (x,y) hbar dx;' else write (u, "(6x,A)") 'plot (' // char (h%drawing_options%dataset) & // ') (x,y);' end if if (h%drawing_options%err) then write (u, "(6x,A)") 'plot (' // char (h%drawing_options%dataset) & // '.err) ' & // '(x,y) vbar y.d;' end if !!! Future excess options for plots ! write (u, "(6x,A)") 'if show_excess: ' // & ! & 'plot(dat.e)(x, y plus y.e) hbar dx; fi' write (u, "(4x,A)") 'endfor' write (u, "(2x,A)") 'endfrom' end subroutine histogram_write_gml_reader @ %def histogram_write_gml_reader @ \LaTeX\ and GAMELAN output. <<Analysis: procedures>>= subroutine histogram_write_gml_driver (h, filename, unit) type(histogram_t), intent(in) :: h type(string_t), intent(in) :: filename integer, intent(in), optional :: unit type(string_t) :: calc_cmd, bg_cmd, draw_cmd, err_cmd, symb_cmd, fg_cmd integer :: u u = given_output_unit (unit); if (u < 0) return call graph_options_write_tex_header (h%graph_options, unit) write (u, "(2x,A)") char (graph_options_get_gml_setup (h%graph_options)) write (u, "(2x,A)") char (graph_options_get_gml_graphrange & (h%graph_options, x_min=h%lower_bound, x_max=h%upper_bound)) call histogram_write_gml_reader (h, filename, unit) calc_cmd = drawing_options_get_calc_command (h%drawing_options) if (calc_cmd /= "") write (u, "(2x,A)") char (calc_cmd) bg_cmd = drawing_options_get_gml_bg_command (h%drawing_options) if (bg_cmd /= "") write (u, "(2x,A)") char (bg_cmd) draw_cmd = drawing_options_get_draw_command (h%drawing_options) if (draw_cmd /= "") write (u, "(2x,A)") char (draw_cmd) err_cmd = drawing_options_get_err_command (h%drawing_options) if (err_cmd /= "") write (u, "(2x,A)") char (err_cmd) symb_cmd = drawing_options_get_symb_command (h%drawing_options) if (symb_cmd /= "") write (u, "(2x,A)") char (symb_cmd) fg_cmd = drawing_options_get_gml_fg_command (h%drawing_options) if (fg_cmd /= "") write (u, "(2x,A)") char (fg_cmd) write (u, "(2x,A)") char (graph_options_get_gml_x_label (h%graph_options)) write (u, "(2x,A)") char (graph_options_get_gml_y_label (h%graph_options)) call graph_options_write_tex_footer (h%graph_options, unit) write (u, "(A)") "\vspace*{2\baselineskip}" write (u, "(A)") "\begin{flushleft}" write (u, "(A)") "\textbf{Data within bounds:} \\" call observable_write_driver (h%obs_within_bounds, unit, & write_heading=.false.) write (u, "(A)") "\\[0.5\baselineskip]" write (u, "(A)") "\textbf{All data:} \\" call observable_write_driver (h%obs, unit, write_heading=.false.) write (u, "(A)") "\end{flushleft}" end subroutine histogram_write_gml_driver @ %def histogram_write_gml_driver @ Return the header for generic data output as an ifile. <<Analysis: procedures>>= subroutine histogram_get_header (h, header, comment) type(histogram_t), intent(in) :: h type(ifile_t), intent(inout) :: header type(string_t), intent(in), optional :: comment type(string_t) :: c if (present (comment)) then c = comment else c = "" end if call ifile_append (header, c // "WHIZARD histogram data") call graph_options_get_header (h%graph_options, header, comment) call ifile_append (header, & c // "range: " // real2string (h%lower_bound) & // " - " // real2string (h%upper_bound)) call ifile_append (header, & c // "counts total: " & // int2char (histogram_get_n_entries_within_bounds (h))) call ifile_append (header, & c // "total average: " & // real2string (histogram_get_average_within_bounds (h)) // " +- " & // real2string (histogram_get_error_within_bounds (h))) end subroutine histogram_get_header @ %def histogram_get_header @ \subsection{Plots} \subsubsection{Points} <<Analysis: types>>= type :: point_t private real(default) :: x = 0 real(default) :: y = 0 real(default) :: yerr = 0 real(default) :: xerr = 0 type(point_t), pointer :: next => null () end type point_t @ %def point_t <<Analysis: interfaces>>= interface point_init module procedure point_init_contents module procedure point_init_point end interface <<Analysis: procedures>>= subroutine point_init_contents (point, x, y, yerr, xerr) type(point_t), intent(out) :: point real(default), intent(in) :: x, y real(default), intent(in), optional :: yerr, xerr point%x = x point%y = y if (present (yerr)) point%yerr = yerr if (present (xerr)) point%xerr = xerr end subroutine point_init_contents subroutine point_init_point (point, point_in) type(point_t), intent(out) :: point type(point_t), intent(in) :: point_in point%x = point_in%x point%y = point_in%y point%yerr = point_in%yerr point%xerr = point_in%xerr end subroutine point_init_point @ %def point_init <<Analysis: procedures>>= function point_get_x (point) result (x) real(default) :: x type(point_t), intent(in) :: point x = point%x end function point_get_x function point_get_y (point) result (y) real(default) :: y type(point_t), intent(in) :: point y = point%y end function point_get_y function point_get_xerr (point) result (xerr) real(default) :: xerr type(point_t), intent(in) :: point xerr = point%xerr end function point_get_xerr function point_get_yerr (point) result (yerr) real(default) :: yerr type(point_t), intent(in) :: point yerr = point%yerr end function point_get_yerr @ %def point_get_x @ %def point_get_y @ %def point_get_xerr @ %def point_get_yerr <<Analysis: procedures>>= subroutine point_write_header (unit) integer, intent(in) :: unit character(120) :: buffer integer :: u u = given_output_unit (unit); if (u < 0) return write (buffer, "(A,4(1x," // HISTOGRAM_HEAD_FORMAT // "))") & "#", "x ", "y ", "yerr ", "xerr " write (u, "(A)") trim (buffer) end subroutine point_write_header subroutine point_write (point, unit) type(point_t), intent(in) :: point integer, intent(in), optional :: unit integer :: u u = given_output_unit (unit); if (u < 0) return write (u, "(1x,4(1x," // HISTOGRAM_DATA_FORMAT // "))") & point_get_x (point), & point_get_y (point), & point_get_yerr (point), & point_get_xerr (point) end subroutine point_write @ %def point_write @ \subsubsection{Plots} <<Analysis: types>>= type :: plot_t private type(point_t), pointer :: first => null () type(point_t), pointer :: last => null () integer :: count = 0 type(graph_options_t) :: graph_options type(drawing_options_t) :: drawing_options end type plot_t @ %def plot_t @ \subsubsection{Initializer/finalizer} Initialize a plot. We provide the lower and upper bound in the $x$ direction. <<Analysis: interfaces>>= interface plot_init module procedure plot_init_empty module procedure plot_init_plot end interface <<Analysis: procedures>>= subroutine plot_init_empty (p, id, graph_options, drawing_options) type(plot_t), intent(out) :: p type(string_t), intent(in) :: id type(graph_options_t), intent(in), optional :: graph_options type(drawing_options_t), intent(in), optional :: drawing_options if (present (graph_options)) then p%graph_options = graph_options else call graph_options_init (p%graph_options) end if call graph_options_set (p%graph_options, id = id) if (present (drawing_options)) then p%drawing_options = drawing_options else call drawing_options_init_plot (p%drawing_options) end if end subroutine plot_init_empty @ %def plot_init @ Initialize a plot by copying another one, optionally merging in a new set of drawing options. Since [[p]] has pointer (sub)components, we have to explicitly deep-copy the original. <<Analysis: procedures>>= subroutine plot_init_plot (p, p_in, drawing_options) type(plot_t), intent(out) :: p type(plot_t), intent(in) :: p_in type(drawing_options_t), intent(in), optional :: drawing_options type(point_t), pointer :: current, new current => p_in%first do while (associated (current)) allocate (new) call point_init (new, current) if (associated (p%last)) then p%last%next => new else p%first => new end if p%last => new current => current%next end do p%count = p_in%count p%graph_options = p_in%graph_options if (present (drawing_options)) then p%drawing_options = drawing_options else p%drawing_options = p_in%drawing_options end if end subroutine plot_init_plot @ %def plot_init_plot @ Finalize the plot by deallocating the list of points. <<Analysis: procedures>>= subroutine plot_final (plot) type(plot_t), intent(inout) :: plot type(point_t), pointer :: current do while (associated (plot%first)) current => plot%first plot%first => current%next deallocate (current) end do plot%last => null () end subroutine plot_final @ %def plot_final @ \subsubsection{Fill plots} Clear the plot contents, but do not modify the structure. <<Analysis: procedures>>= subroutine plot_clear (plot) type(plot_t), intent(inout) :: plot plot%count = 0 call plot_final (plot) end subroutine plot_clear @ %def plot_clear @ Record a value. Successful if the value is within bounds, otherwise it is recorded as under-/overflow. <<Analysis: procedures>>= subroutine plot_record_value (plot, x, y, yerr, xerr, success) type(plot_t), intent(inout) :: plot real(default), intent(in) :: x, y real(default), intent(in), optional :: yerr, xerr logical, intent(out), optional :: success type(point_t), pointer :: point plot%count = plot%count + 1 allocate (point) call point_init (point, x, y, yerr, xerr) if (associated (plot%first)) then plot%last%next => point else plot%first => point end if plot%last => point if (present (success)) success = .true. end subroutine plot_record_value @ %def plot_record_value @ \subsubsection{Access contents} The number of points. <<Analysis: procedures>>= function plot_get_n_entries (plot) result (n) integer :: n type(plot_t), intent(in) :: plot n = plot%count end function plot_get_n_entries @ %def plot_get_n_entries @ Return a pointer to the graph options. <<Analysis: procedures>>= function plot_get_graph_options_ptr (p) result (ptr) type(graph_options_t), pointer :: ptr type(plot_t), intent(in), target :: p ptr => p%graph_options end function plot_get_graph_options_ptr @ %def plot_get_graph_options_ptr @ Return a pointer to the drawing options. <<Analysis: procedures>>= function plot_get_drawing_options_ptr (p) result (ptr) type(drawing_options_t), pointer :: ptr type(plot_t), intent(in), target :: p ptr => p%drawing_options end function plot_get_drawing_options_ptr @ %def plot_get_drawing_options_ptr @ \subsubsection{Output} This output format is used by the GAMELAN driver below. <<Analysis: procedures>>= subroutine plot_write (plot, unit) type(plot_t), intent(in) :: plot integer, intent(in), optional :: unit type(point_t), pointer :: point integer :: u u = given_output_unit (unit); if (u < 0) return call point_write_header (u) point => plot%first do while (associated (point)) call point_write (point, unit) point => point%next end do write (u, *) write (u, "(A,1x,A)") "#", "Summary:" write (u, "(A,1x,I0)") & "n_entries =", plot_get_n_entries (plot) write (u, *) end subroutine plot_write @ %def plot_write @ Write the GAMELAN reader for plot contents. <<Analysis: procedures>>= subroutine plot_write_gml_reader (p, filename, unit) type(plot_t), intent(in) :: p type(string_t), intent(in) :: filename integer, intent(in), optional :: unit integer :: u u = given_output_unit (unit); if (u < 0) return write (u, "(2x,A)") 'fromfile "' // char (filename) // '":' write (u, "(4x,A)") 'key "# Plot:";' write (u, "(4x,A)") 'for i withinblock:' write (u, "(6x,A)") 'get x, y, y.err, x.err;' write (u, "(6x,A)") 'plot (' // char (p%drawing_options%dataset) & // ') (x,y);' if (p%drawing_options%err) then write (u, "(6x,A)") 'plot (' // char (p%drawing_options%dataset) & // '.err) (x,y) vbar y.err hbar x.err;' end if write (u, "(4x,A)") 'endfor' write (u, "(2x,A)") 'endfrom' end subroutine plot_write_gml_reader @ %def plot_write_gml_header @ \LaTeX\ and GAMELAN output. Analogous to histogram output. <<Analysis: procedures>>= subroutine plot_write_gml_driver (p, filename, unit) type(plot_t), intent(in) :: p type(string_t), intent(in) :: filename integer, intent(in), optional :: unit type(string_t) :: calc_cmd, bg_cmd, draw_cmd, err_cmd, symb_cmd, fg_cmd integer :: u u = given_output_unit (unit); if (u < 0) return call graph_options_write_tex_header (p%graph_options, unit) write (u, "(2x,A)") & char (graph_options_get_gml_setup (p%graph_options)) write (u, "(2x,A)") & char (graph_options_get_gml_graphrange (p%graph_options)) call plot_write_gml_reader (p, filename, unit) calc_cmd = drawing_options_get_calc_command (p%drawing_options) if (calc_cmd /= "") write (u, "(2x,A)") char (calc_cmd) bg_cmd = drawing_options_get_gml_bg_command (p%drawing_options) if (bg_cmd /= "") write (u, "(2x,A)") char (bg_cmd) draw_cmd = drawing_options_get_draw_command (p%drawing_options) if (draw_cmd /= "") write (u, "(2x,A)") char (draw_cmd) err_cmd = drawing_options_get_err_command (p%drawing_options) if (err_cmd /= "") write (u, "(2x,A)") char (err_cmd) symb_cmd = drawing_options_get_symb_command (p%drawing_options) if (symb_cmd /= "") write (u, "(2x,A)") char (symb_cmd) fg_cmd = drawing_options_get_gml_fg_command (p%drawing_options) if (fg_cmd /= "") write (u, "(2x,A)") char (fg_cmd) write (u, "(2x,A)") char (graph_options_get_gml_x_label (p%graph_options)) write (u, "(2x,A)") char (graph_options_get_gml_y_label (p%graph_options)) call graph_options_write_tex_footer (p%graph_options, unit) end subroutine plot_write_gml_driver @ %def plot_write_driver @ Append header for generic data output in ifile format. <<Analysis: procedures>>= subroutine plot_get_header (plot, header, comment) type(plot_t), intent(in) :: plot type(ifile_t), intent(inout) :: header type(string_t), intent(in), optional :: comment type(string_t) :: c if (present (comment)) then c = comment else c = "" end if call ifile_append (header, c // "WHIZARD plot data") call graph_options_get_header (plot%graph_options, header, comment) call ifile_append (header, & c // "number of points: " & // int2char (plot_get_n_entries (plot))) end subroutine plot_get_header @ %def plot_get_header @ \subsection{Graphs} A graph is a container for several graph elements. Each graph element is either a plot or a histogram. There is an appropriate base type below (the [[analysis_object_t]]), but to avoid recursion, we define a separate base type here. Note that there is no actual recursion: a graph is an analysis object, but a graph cannot contain graphs. (If we could use type extension, the implementation would be much more transparent.) \subsubsection{Graph elements} Graph elements cannot be filled by the [[record]] command directly. The contents are always copied from elementary histograms or plots. <<Analysis: types>>= type :: graph_element_t private integer :: type = AN_UNDEFINED type(histogram_t), pointer :: h => null () type(plot_t), pointer :: p => null () end type graph_element_t @ %def graph_element_t <<Analysis: procedures>>= subroutine graph_element_final (el) type(graph_element_t), intent(inout) :: el select case (el%type) case (AN_HISTOGRAM) deallocate (el%h) case (AN_PLOT) call plot_final (el%p) deallocate (el%p) end select el%type = AN_UNDEFINED end subroutine graph_element_final @ %def graph_element_final @ Return the number of entries in the graph element: <<Analysis: procedures>>= function graph_element_get_n_entries (el) result (n) integer :: n type(graph_element_t), intent(in) :: el select case (el%type) case (AN_HISTOGRAM); n = histogram_get_n_entries (el%h) case (AN_PLOT); n = plot_get_n_entries (el%p) case default; n = 0 end select end function graph_element_get_n_entries @ %def graph_element_get_n_entries @ Return a pointer to the graph / drawing options. <<Analysis: procedures>>= function graph_element_get_graph_options_ptr (el) result (ptr) type(graph_options_t), pointer :: ptr type(graph_element_t), intent(in) :: el select case (el%type) case (AN_HISTOGRAM); ptr => histogram_get_graph_options_ptr (el%h) case (AN_PLOT); ptr => plot_get_graph_options_ptr (el%p) case default; ptr => null () end select end function graph_element_get_graph_options_ptr function graph_element_get_drawing_options_ptr (el) result (ptr) type(drawing_options_t), pointer :: ptr type(graph_element_t), intent(in) :: el select case (el%type) case (AN_HISTOGRAM); ptr => histogram_get_drawing_options_ptr (el%h) case (AN_PLOT); ptr => plot_get_drawing_options_ptr (el%p) case default; ptr => null () end select end function graph_element_get_drawing_options_ptr @ %def graph_element_get_graph_options_ptr @ %def graph_element_get_drawing_options_ptr @ Output, simple wrapper for the plot/histogram writer. <<Analysis: procedures>>= subroutine graph_element_write (el, unit) type(graph_element_t), intent(in) :: el integer, intent(in), optional :: unit type(graph_options_t), pointer :: gro type(string_t) :: id integer :: u u = given_output_unit (unit); if (u < 0) return gro => graph_element_get_graph_options_ptr (el) id = graph_options_get_id (gro) write (u, "(A,A)") '#', repeat ("-", 78) select case (el%type) case (AN_HISTOGRAM) write (u, "(A)", advance="no") "# Histogram: " write (u, "(1x,A)") char (id) call histogram_write (el%h, unit) case (AN_PLOT) write (u, "(A)", advance="no") "# Plot: " write (u, "(1x,A)") char (id) call plot_write (el%p, unit) end select end subroutine graph_element_write @ %def graph_element_write <<Analysis: procedures>>= subroutine graph_element_write_gml_reader (el, filename, unit) type(graph_element_t), intent(in) :: el type(string_t), intent(in) :: filename integer, intent(in), optional :: unit select case (el%type) case (AN_HISTOGRAM); call histogram_write_gml_reader (el%h, filename, unit) case (AN_PLOT); call plot_write_gml_reader (el%p, filename, unit) end select end subroutine graph_element_write_gml_reader @ %def graph_element_write_gml_reader @ \subsubsection{The graph type} The actual graph type contains its own [[graph_options]], which override the individual settings. The [[drawing_options]] are set in the graph elements. This distinction motivates the separation of the two types. <<Analysis: types>>= type :: graph_t private type(graph_element_t), dimension(:), allocatable :: el type(graph_options_t) :: graph_options end type graph_t @ %def graph_t @ \subsubsection{Initializer/finalizer} The graph is created with a definite number of elements. The elements are filled one by one, optionally with modified drawing options. <<Analysis: procedures>>= subroutine graph_init (g, id, n_elements, graph_options) type(graph_t), intent(out) :: g type(string_t), intent(in) :: id integer, intent(in) :: n_elements type(graph_options_t), intent(in), optional :: graph_options allocate (g%el (n_elements)) if (present (graph_options)) then g%graph_options = graph_options else call graph_options_init (g%graph_options) end if call graph_options_set (g%graph_options, id = id) end subroutine graph_init @ %def graph_init <<Analysis: procedures>>= subroutine graph_insert_histogram (g, i, h, drawing_options) type(graph_t), intent(inout), target :: g integer, intent(in) :: i type(histogram_t), intent(in) :: h type(drawing_options_t), intent(in), optional :: drawing_options type(graph_options_t), pointer :: gro type(drawing_options_t), pointer :: dro type(string_t) :: id g%el(i)%type = AN_HISTOGRAM allocate (g%el(i)%h) call histogram_init_histogram (g%el(i)%h, h, drawing_options) gro => histogram_get_graph_options_ptr (g%el(i)%h) dro => histogram_get_drawing_options_ptr (g%el(i)%h) id = graph_options_get_id (gro) call drawing_options_set (dro, dataset = "dat." // id) end subroutine graph_insert_histogram @ %def graph_insert_histogram <<Analysis: procedures>>= subroutine graph_insert_plot (g, i, p, drawing_options) type(graph_t), intent(inout) :: g integer, intent(in) :: i type(plot_t), intent(in) :: p type(drawing_options_t), intent(in), optional :: drawing_options type(graph_options_t), pointer :: gro type(drawing_options_t), pointer :: dro type(string_t) :: id g%el(i)%type = AN_PLOT allocate (g%el(i)%p) call plot_init_plot (g%el(i)%p, p, drawing_options) gro => plot_get_graph_options_ptr (g%el(i)%p) dro => plot_get_drawing_options_ptr (g%el(i)%p) id = graph_options_get_id (gro) call drawing_options_set (dro, dataset = "dat." // id) end subroutine graph_insert_plot @ %def graph_insert_plot @ Finalizer. <<Analysis: procedures>>= subroutine graph_final (g) type(graph_t), intent(inout) :: g integer :: i do i = 1, size (g%el) call graph_element_final (g%el(i)) end do deallocate (g%el) end subroutine graph_final @ %def graph_final @ \subsubsection{Access contents} The number of elements. <<Analysis: procedures>>= function graph_get_n_elements (graph) result (n) integer :: n type(graph_t), intent(in) :: graph n = size (graph%el) end function graph_get_n_elements @ %def graph_get_n_elements @ Retrieve a pointer to the drawing options of an element, so they can be modified. (The [[target]] attribute is not actually needed because the components are pointers.) <<Analysis: procedures>>= function graph_get_drawing_options_ptr (g, i) result (ptr) type(drawing_options_t), pointer :: ptr type(graph_t), intent(in), target :: g integer, intent(in) :: i ptr => graph_element_get_drawing_options_ptr (g%el(i)) end function graph_get_drawing_options_ptr @ %def graph_get_drawing_options_ptr @ \subsubsection{Output} The default output format just writes histogram and plot data. <<Analysis: procedures>>= subroutine graph_write (graph, unit) type(graph_t), intent(in) :: graph integer, intent(in), optional :: unit integer :: i do i = 1, size (graph%el) call graph_element_write (graph%el(i), unit) end do end subroutine graph_write @ %def graph_write @ The GAMELAN driver is not a simple wrapper, but it writes the plot/histogram contents embedded the complete graph. First, data are read in, global background commands next, then individual elements, then global foreground commands. <<Analysis: procedures>>= subroutine graph_write_gml_driver (g, filename, unit) type(graph_t), intent(in) :: g type(string_t), intent(in) :: filename type(string_t) :: calc_cmd, bg_cmd, draw_cmd, err_cmd, symb_cmd, fg_cmd integer, intent(in), optional :: unit type(drawing_options_t), pointer :: dro integer :: u, i u = given_output_unit (unit); if (u < 0) return call graph_options_write_tex_header (g%graph_options, unit) write (u, "(2x,A)") & char (graph_options_get_gml_setup (g%graph_options)) write (u, "(2x,A)") & char (graph_options_get_gml_graphrange (g%graph_options)) do i = 1, size (g%el) call graph_element_write_gml_reader (g%el(i), filename, unit) calc_cmd = drawing_options_get_calc_command & (graph_element_get_drawing_options_ptr (g%el(i))) if (calc_cmd /= "") write (u, "(2x,A)") char (calc_cmd) end do bg_cmd = graph_options_get_gml_bg_command (g%graph_options) if (bg_cmd /= "") write (u, "(2x,A)") char (bg_cmd) do i = 1, size (g%el) dro => graph_element_get_drawing_options_ptr (g%el(i)) bg_cmd = drawing_options_get_gml_bg_command (dro) if (bg_cmd /= "") write (u, "(2x,A)") char (bg_cmd) draw_cmd = drawing_options_get_draw_command (dro) if (draw_cmd /= "") write (u, "(2x,A)") char (draw_cmd) err_cmd = drawing_options_get_err_command (dro) if (err_cmd /= "") write (u, "(2x,A)") char (err_cmd) symb_cmd = drawing_options_get_symb_command (dro) if (symb_cmd /= "") write (u, "(2x,A)") char (symb_cmd) fg_cmd = drawing_options_get_gml_fg_command (dro) if (fg_cmd /= "") write (u, "(2x,A)") char (fg_cmd) end do fg_cmd = graph_options_get_gml_fg_command (g%graph_options) if (fg_cmd /= "") write (u, "(2x,A)") char (fg_cmd) write (u, "(2x,A)") char (graph_options_get_gml_x_label (g%graph_options)) write (u, "(2x,A)") char (graph_options_get_gml_y_label (g%graph_options)) call graph_options_write_tex_footer (g%graph_options, unit) end subroutine graph_write_gml_driver @ %def graph_write_gml_driver @ Append header for generic data output in ifile format. <<Analysis: procedures>>= subroutine graph_get_header (graph, header, comment) type(graph_t), intent(in) :: graph type(ifile_t), intent(inout) :: header type(string_t), intent(in), optional :: comment type(string_t) :: c if (present (comment)) then c = comment else c = "" end if call ifile_append (header, c // "WHIZARD graph data") call graph_options_get_header (graph%graph_options, header, comment) call ifile_append (header, & c // "number of graph elements: " & // int2char (graph_get_n_elements (graph))) end subroutine graph_get_header @ %def graph_get_header @ \subsection{Analysis objects} This data structure holds all observables, histograms and such that are currently active. We have one global store; individual items are identified by their ID strings. (This should rather be coded by type extension.) <<Analysis: parameters>>= integer, parameter :: AN_UNDEFINED = 0 integer, parameter :: AN_OBSERVABLE = 1 integer, parameter :: AN_HISTOGRAM = 2 integer, parameter :: AN_PLOT = 3 integer, parameter :: AN_GRAPH = 4 <<Analysis: public>>= public :: AN_UNDEFINED, AN_HISTOGRAM, AN_OBSERVABLE, AN_PLOT, AN_GRAPH @ %def AN_UNDEFINED @ %def AN_OBSERVABLE AN_HISTOGRAM AN_PLOT AN_GRAPH <<Analysis: types>>= type :: analysis_object_t private type(string_t) :: id integer :: type = AN_UNDEFINED type(observable_t), pointer :: obs => null () type(histogram_t), pointer :: h => null () type(plot_t), pointer :: p => null () type(graph_t), pointer :: g => null () type(analysis_object_t), pointer :: next => null () end type analysis_object_t @ %def analysis_object_t @ \subsubsection{Initializer/finalizer} Allocate with the correct type but do not fill initial values. <<Analysis: procedures>>= subroutine analysis_object_init (obj, id, type) type(analysis_object_t), intent(out) :: obj type(string_t), intent(in) :: id integer, intent(in) :: type obj%id = id obj%type = type select case (obj%type) case (AN_OBSERVABLE); allocate (obj%obs) case (AN_HISTOGRAM); allocate (obj%h) case (AN_PLOT); allocate (obj%p) case (AN_GRAPH); allocate (obj%g) end select end subroutine analysis_object_init @ %def analysis_object_init <<Analysis: procedures>>= subroutine analysis_object_final (obj) type(analysis_object_t), intent(inout) :: obj select case (obj%type) case (AN_OBSERVABLE) deallocate (obj%obs) case (AN_HISTOGRAM) deallocate (obj%h) case (AN_PLOT) call plot_final (obj%p) deallocate (obj%p) case (AN_GRAPH) call graph_final (obj%g) deallocate (obj%g) end select obj%type = AN_UNDEFINED end subroutine analysis_object_final @ %def analysis_object_final @ Clear the analysis object, i.e., reset it to its initial state. Not applicable to graphs, which are always combinations of other existing objects. <<Analysis: procedures>>= subroutine analysis_object_clear (obj) type(analysis_object_t), intent(inout) :: obj select case (obj%type) case (AN_OBSERVABLE) call observable_clear (obj%obs) case (AN_HISTOGRAM) call histogram_clear (obj%h) case (AN_PLOT) call plot_clear (obj%p) end select end subroutine analysis_object_clear @ %def analysis_object_clear @ \subsubsection{Fill with data} Record data. The effect depends on the type of analysis object. <<Analysis: procedures>>= subroutine analysis_object_record_data (obj, & x, y, yerr, xerr, weight, excess, success) type(analysis_object_t), intent(inout) :: obj real(default), intent(in) :: x real(default), intent(in), optional :: y, yerr, xerr, weight, excess logical, intent(out), optional :: success select case (obj%type) case (AN_OBSERVABLE) if (present (weight)) then call observable_record_value_weighted (obj%obs, x, weight, success) else call observable_record_value_unweighted (obj%obs, x, success) end if case (AN_HISTOGRAM) if (present (weight)) then call histogram_record_value_weighted (obj%h, x, weight, success) else call histogram_record_value_unweighted (obj%h, x, excess, success) end if case (AN_PLOT) if (present (y)) then call plot_record_value (obj%p, x, y, yerr, xerr, success) else if (present (success)) success = .false. end if case default if (present (success)) success = .false. end select end subroutine analysis_object_record_data @ %def analysis_object_record_data @ Explicitly set the pointer to the next object in the list. <<Analysis: procedures>>= subroutine analysis_object_set_next_ptr (obj, next) type(analysis_object_t), intent(inout) :: obj type(analysis_object_t), pointer :: next obj%next => next end subroutine analysis_object_set_next_ptr @ %def analysis_object_set_next_ptr @ \subsubsection{Access contents} Return a pointer to the next object in the list. <<Analysis: procedures>>= function analysis_object_get_next_ptr (obj) result (next) type(analysis_object_t), pointer :: next type(analysis_object_t), intent(in) :: obj next => obj%next end function analysis_object_get_next_ptr @ %def analysis_object_get_next_ptr @ Return data as appropriate for the object type. <<Analysis: procedures>>= function analysis_object_get_n_elements (obj) result (n) integer :: n type(analysis_object_t), intent(in) :: obj select case (obj%type) case (AN_HISTOGRAM) n = 1 case (AN_PLOT) n = 1 case (AN_GRAPH) n = graph_get_n_elements (obj%g) case default n = 0 end select end function analysis_object_get_n_elements function analysis_object_get_n_entries (obj, within_bounds) result (n) integer :: n type(analysis_object_t), intent(in) :: obj logical, intent(in), optional :: within_bounds logical :: wb select case (obj%type) case (AN_OBSERVABLE) n = observable_get_n_entries (obj%obs) case (AN_HISTOGRAM) wb = .false.; if (present (within_bounds)) wb = within_bounds if (wb) then n = histogram_get_n_entries_within_bounds (obj%h) else n = histogram_get_n_entries (obj%h) end if case (AN_PLOT) n = plot_get_n_entries (obj%p) case default n = 0 end select end function analysis_object_get_n_entries function analysis_object_get_average (obj, within_bounds) result (avg) real(default) :: avg type(analysis_object_t), intent(in) :: obj logical, intent(in), optional :: within_bounds logical :: wb select case (obj%type) case (AN_OBSERVABLE) avg = observable_get_average (obj%obs) case (AN_HISTOGRAM) wb = .false.; if (present (within_bounds)) wb = within_bounds if (wb) then avg = histogram_get_average_within_bounds (obj%h) else avg = histogram_get_average (obj%h) end if case default avg = 0 end select end function analysis_object_get_average function analysis_object_get_error (obj, within_bounds) result (err) real(default) :: err type(analysis_object_t), intent(in) :: obj logical, intent(in), optional :: within_bounds logical :: wb select case (obj%type) case (AN_OBSERVABLE) err = observable_get_error (obj%obs) case (AN_HISTOGRAM) wb = .false.; if (present (within_bounds)) wb = within_bounds if (wb) then err = histogram_get_error_within_bounds (obj%h) else err = histogram_get_error (obj%h) end if case default err = 0 end select end function analysis_object_get_error @ %def analysis_object_get_n_elements @ %def analysis_object_get_n_entries @ %def analysis_object_get_average @ %def analysis_object_get_error @ Return pointers to the actual contents: <<Analysis: procedures>>= function analysis_object_get_observable_ptr (obj) result (obs) type(observable_t), pointer :: obs type(analysis_object_t), intent(in) :: obj select case (obj%type) case (AN_OBSERVABLE); obs => obj%obs case default; obs => null () end select end function analysis_object_get_observable_ptr function analysis_object_get_histogram_ptr (obj) result (h) type(histogram_t), pointer :: h type(analysis_object_t), intent(in) :: obj select case (obj%type) case (AN_HISTOGRAM); h => obj%h case default; h => null () end select end function analysis_object_get_histogram_ptr function analysis_object_get_plot_ptr (obj) result (plot) type(plot_t), pointer :: plot type(analysis_object_t), intent(in) :: obj select case (obj%type) case (AN_PLOT); plot => obj%p case default; plot => null () end select end function analysis_object_get_plot_ptr function analysis_object_get_graph_ptr (obj) result (g) type(graph_t), pointer :: g type(analysis_object_t), intent(in) :: obj select case (obj%type) case (AN_GRAPH); g => obj%g case default; g => null () end select end function analysis_object_get_graph_ptr @ %def analysis_object_get_observable_ptr @ %def analysis_object_get_histogram_ptr @ %def analysis_object_get_plot_ptr @ %def analysis_object_get_graph_ptr @ Return true if the object has a graphical representation: <<Analysis: procedures>>= function analysis_object_has_plot (obj) result (flag) logical :: flag type(analysis_object_t), intent(in) :: obj select case (obj%type) case (AN_HISTOGRAM); flag = .true. case (AN_PLOT); flag = .true. case (AN_GRAPH); flag = .true. case default; flag = .false. end select end function analysis_object_has_plot @ %def analysis_object_has_plot @ \subsubsection{Output} <<Analysis: procedures>>= subroutine analysis_object_write (obj, unit, verbose) type(analysis_object_t), intent(in) :: obj integer, intent(in), optional :: unit logical, intent(in), optional :: verbose logical :: verb integer :: u u = given_output_unit (unit); if (u < 0) return verb = .false.; if (present (verbose)) verb = verbose write (u, "(A)") repeat ("#", 79) select case (obj%type) case (AN_OBSERVABLE) write (u, "(A)", advance="no") "# Observable:" case (AN_HISTOGRAM) write (u, "(A)", advance="no") "# Histogram: " case (AN_PLOT) write (u, "(A)", advance="no") "# Plot: " case (AN_GRAPH) write (u, "(A)", advance="no") "# Graph: " case default write (u, "(A)") "# [undefined analysis object]" return end select write (u, "(1x,A)") char (obj%id) select case (obj%type) case (AN_OBSERVABLE) call observable_write (obj%obs, unit) case (AN_HISTOGRAM) if (verb) then call graph_options_write (obj%h%graph_options, unit) write (u, *) call drawing_options_write (obj%h%drawing_options, unit) write (u, *) end if call histogram_write (obj%h, unit) case (AN_PLOT) if (verb) then call graph_options_write (obj%p%graph_options, unit) write (u, *) call drawing_options_write (obj%p%drawing_options, unit) write (u, *) end if call plot_write (obj%p, unit) case (AN_GRAPH) call graph_write (obj%g, unit) end select end subroutine analysis_object_write @ %def analysis_object_write @ Write the object part of the \LaTeX\ driver file. <<Analysis: procedures>>= subroutine analysis_object_write_driver (obj, filename, unit) type(analysis_object_t), intent(in) :: obj type(string_t), intent(in) :: filename integer, intent(in), optional :: unit select case (obj%type) case (AN_OBSERVABLE) call observable_write_driver (obj%obs, unit) case (AN_HISTOGRAM) call histogram_write_gml_driver (obj%h, filename, unit) case (AN_PLOT) call plot_write_gml_driver (obj%p, filename, unit) case (AN_GRAPH) call graph_write_gml_driver (obj%g, filename, unit) end select end subroutine analysis_object_write_driver @ %def analysis_object_write_driver @ Return a data header for external formats, in ifile form. <<Analysis: procedures>>= subroutine analysis_object_get_header (obj, header, comment) type(analysis_object_t), intent(in) :: obj type(ifile_t), intent(inout) :: header type(string_t), intent(in), optional :: comment select case (obj%type) case (AN_HISTOGRAM) call histogram_get_header (obj%h, header, comment) case (AN_PLOT) call plot_get_header (obj%p, header, comment) end select end subroutine analysis_object_get_header @ %def analysis_object_get_header @ \subsection{Analysis object iterator} Analysis objects are containers which have iterable data structures: histograms/bins and plots/points. If they are to be treated on a common basis, it is useful to have an iterator which hides the implementation details. The iterator is used only for elementary analysis objects that contain plot data: histograms or plots. It is invalid for meta-objects (graphs) and non-graphical objects (observables). <<Analysis: public>>= public :: analysis_iterator_t <<Analysis: types>>= type :: analysis_iterator_t private integer :: type = AN_UNDEFINED type(analysis_object_t), pointer :: object => null () integer :: index = 1 type(point_t), pointer :: point => null () end type @ %def analysis_iterator_t @ The initializer places the iterator at the beginning of the analysis object. <<Analysis: procedures>>= subroutine analysis_iterator_init (iterator, object) type(analysis_iterator_t), intent(out) :: iterator type(analysis_object_t), intent(in), target :: object iterator%object => object if (associated (iterator%object)) then iterator%type = iterator%object%type select case (iterator%type) case (AN_PLOT) iterator%point => iterator%object%p%first end select end if end subroutine analysis_iterator_init @ %def analysis_iterator_init @ The iterator is valid as long as it points to an existing entry. An iterator for a data object without array data (observable) is always invalid. <<Analysis: public>>= public :: analysis_iterator_is_valid <<Analysis: procedures>>= function analysis_iterator_is_valid (iterator) result (valid) logical :: valid type(analysis_iterator_t), intent(in) :: iterator if (associated (iterator%object)) then select case (iterator%type) case (AN_HISTOGRAM) valid = iterator%index <= histogram_get_n_bins (iterator%object%h) case (AN_PLOT) valid = associated (iterator%point) case default valid = .false. end select else valid = .false. end if end function analysis_iterator_is_valid @ %def analysis_iterator_is_valid @ Advance the iterator. <<Analysis: public>>= public :: analysis_iterator_advance <<Analysis: procedures>>= subroutine analysis_iterator_advance (iterator) type(analysis_iterator_t), intent(inout) :: iterator if (associated (iterator%object)) then select case (iterator%type) case (AN_PLOT) iterator%point => iterator%point%next end select iterator%index = iterator%index + 1 end if end subroutine analysis_iterator_advance @ %def analysis_iterator_advance @ Retrieve the object type: <<Analysis: public>>= public :: analysis_iterator_get_type <<Analysis: procedures>>= function analysis_iterator_get_type (iterator) result (type) integer :: type type(analysis_iterator_t), intent(in) :: iterator type = iterator%type end function analysis_iterator_get_type @ %def analysis_iterator_get_type @ Use the iterator to retrieve data. We implement a common routine which takes the data descriptors as optional arguments. Data which do not occur in the selected type trigger to an error condition. The iterator must point to a valid entry. <<Analysis: public>>= public :: analysis_iterator_get_data <<Analysis: procedures>>= subroutine analysis_iterator_get_data (iterator, & x, y, yerr, xerr, width, excess, index, n_total) type(analysis_iterator_t), intent(in) :: iterator real(default), intent(out), optional :: x, y, yerr, xerr, width, excess integer, intent(out), optional :: index, n_total select case (iterator%type) case (AN_HISTOGRAM) if (present (x)) & x = bin_get_midpoint (iterator%object%h%bin(iterator%index)) if (present (y)) & y = bin_get_sum (iterator%object%h%bin(iterator%index)) if (present (yerr)) & yerr = bin_get_error (iterator%object%h%bin(iterator%index)) if (present (xerr)) & call invalid ("histogram", "xerr") if (present (width)) & width = bin_get_width (iterator%object%h%bin(iterator%index)) if (present (excess)) & excess = bin_get_excess (iterator%object%h%bin(iterator%index)) if (present (index)) & index = iterator%index if (present (n_total)) & n_total = histogram_get_n_bins (iterator%object%h) case (AN_PLOT) if (present (x)) & x = point_get_x (iterator%point) if (present (y)) & y = point_get_y (iterator%point) if (present (yerr)) & yerr = point_get_yerr (iterator%point) if (present (xerr)) & xerr = point_get_xerr (iterator%point) if (present (width)) & call invalid ("plot", "width") if (present (excess)) & call invalid ("plot", "excess") if (present (index)) & index = iterator%index if (present (n_total)) & n_total = plot_get_n_entries (iterator%object%p) case default call msg_bug ("analysis_iterator_get_data: called " & // "for unsupported analysis object type") end select contains subroutine invalid (typestr, objstr) character(*), intent(in) :: typestr, objstr call msg_bug ("analysis_iterator_get_data: attempt to get '" & // objstr // "' for type '" // typestr // "'") end subroutine invalid end subroutine analysis_iterator_get_data @ %def analysis_iterator_get_data @ \subsection{Analysis store} This data structure holds all observables, histograms and such that are currently active. We have one global store; individual items are identified by their ID strings and types. <<Analysis: variables>>= type(analysis_store_t), save :: analysis_store @ %def analysis_store <<Analysis: types>>= type :: analysis_store_t private type(analysis_object_t), pointer :: first => null () type(analysis_object_t), pointer :: last => null () end type analysis_store_t @ %def analysis_store_t @ Delete the analysis store <<Analysis: public>>= public :: analysis_final <<Analysis: procedures>>= subroutine analysis_final () type(analysis_object_t), pointer :: current do while (associated (analysis_store%first)) current => analysis_store%first analysis_store%first => current%next call analysis_object_final (current) end do analysis_store%last => null () end subroutine analysis_final @ %def analysis_final @ Append a new analysis object <<Analysis: procedures>>= subroutine analysis_store_append_object (id, type) type(string_t), intent(in) :: id integer, intent(in) :: type type(analysis_object_t), pointer :: obj allocate (obj) call analysis_object_init (obj, id, type) if (associated (analysis_store%last)) then analysis_store%last%next => obj else analysis_store%first => obj end if analysis_store%last => obj end subroutine analysis_store_append_object @ %def analysis_store_append_object @ Return a pointer to the analysis object with given ID. <<Analysis: procedures>>= function analysis_store_get_object_ptr (id) result (obj) type(string_t), intent(in) :: id type(analysis_object_t), pointer :: obj obj => analysis_store%first do while (associated (obj)) if (obj%id == id) return obj => obj%next end do end function analysis_store_get_object_ptr @ %def analysis_store_get_object_ptr @ Initialize an analysis object: either reset it if present, or append a new entry. <<Analysis: procedures>>= subroutine analysis_store_init_object (id, type, obj) type(string_t), intent(in) :: id integer, intent(in) :: type type(analysis_object_t), pointer :: obj, next obj => analysis_store_get_object_ptr (id) if (associated (obj)) then next => analysis_object_get_next_ptr (obj) call analysis_object_final (obj) call analysis_object_init (obj, id, type) call analysis_object_set_next_ptr (obj, next) else call analysis_store_append_object (id, type) obj => analysis_store%last end if end subroutine analysis_store_init_object @ %def analysis_store_init_object @ Get the type of a analysis object <<Analysis: public>>= public :: analysis_store_get_object_type <<Analysis: procedures>>= function analysis_store_get_object_type (id) result (type) type(string_t), intent(in) :: id integer :: type type(analysis_object_t), pointer :: object object => analysis_store_get_object_ptr (id) if (associated (object)) then type = object%type else type = AN_UNDEFINED end if end function analysis_store_get_object_type @ %def analysis_store_get_object_type @ Return the number of objects in the store. <<Analysis: procedures>>= function analysis_store_get_n_objects () result (n) integer :: n type(analysis_object_t), pointer :: current n = 0 current => analysis_store%first do while (associated (current)) n = n + 1 current => current%next end do end function analysis_store_get_n_objects @ %def analysis_store_get_n_objects @ Allocate an array and fill it with all existing IDs. <<Analysis: public>>= public :: analysis_store_get_ids <<Analysis: procedures>>= subroutine analysis_store_get_ids (id) type(string_t), dimension(:), allocatable, intent(out) :: id type(analysis_object_t), pointer :: current integer :: i allocate (id (analysis_store_get_n_objects())) i = 0 current => analysis_store%first do while (associated (current)) i = i + 1 id(i) = current%id current => current%next end do end subroutine analysis_store_get_ids @ %def analysis_store_get_ids @ \subsection{\LaTeX\ driver file} Write a driver file for all objects in the store. <<Analysis: procedures>>= subroutine analysis_store_write_driver_all (filename_data, unit) type(string_t), intent(in) :: filename_data integer, intent(in), optional :: unit type(analysis_object_t), pointer :: obj call analysis_store_write_driver_header (unit) obj => analysis_store%first do while (associated (obj)) call analysis_object_write_driver (obj, filename_data, unit) obj => obj%next end do call analysis_store_write_driver_footer (unit) end subroutine analysis_store_write_driver_all @ %def analysis_store_write_driver_all @ Write a driver file for an array of objects. <<Analysis: procedures>>= subroutine analysis_store_write_driver_obj (filename_data, id, unit) type(string_t), intent(in) :: filename_data type(string_t), dimension(:), intent(in) :: id integer, intent(in), optional :: unit type(analysis_object_t), pointer :: obj integer :: i call analysis_store_write_driver_header (unit) do i = 1, size (id) obj => analysis_store_get_object_ptr (id(i)) if (associated (obj)) & call analysis_object_write_driver (obj, filename_data, unit) end do call analysis_store_write_driver_footer (unit) end subroutine analysis_store_write_driver_obj @ %def analysis_store_write_driver_obj @ The beginning of the driver file. <<Analysis: procedures>>= subroutine analysis_store_write_driver_header (unit) integer, intent(in), optional :: unit integer :: u u = given_output_unit (unit); if (u < 0) return write (u, '(A)') "\documentclass[12pt]{article}" write (u, *) write (u, '(A)') "\usepackage{gamelan}" write (u, '(A)') "\usepackage{amsmath}" write (u, '(A)') "\usepackage{ifpdf}" write (u, '(A)') "\ifpdf" write (u, '(A)') " \DeclareGraphicsRule{*}{mps}{*}{}" write (u, '(A)') "\else" write (u, '(A)') " \DeclareGraphicsRule{*}{eps}{*}{}" write (u, '(A)') "\fi" write (u, *) write (u, '(A)') "\begin{document}" write (u, '(A)') "\begin{gmlfile}" write (u, *) write (u, '(A)') "\begin{gmlcode}" write (u, '(A)') " color col.default, col.excess;" write (u, '(A)') " col.default = 0.9white;" write (u, '(A)') " col.excess = red;" write (u, '(A)') " boolean show_excess;" !!! Future excess options for plots ! if (mcs(1)%plot_excess .and. mcs(1)%unweighted) then ! write (u, '(A)') " show_excess = true;" ! else write (u, '(A)') " show_excess = false;" ! end if write (u, '(A)') "\end{gmlcode}" write (u, *) end subroutine analysis_store_write_driver_header @ %def analysis_store_write_driver_header @ The end of the driver file. <<Analysis: procedures>>= subroutine analysis_store_write_driver_footer (unit) integer, intent(in), optional :: unit integer :: u u = given_output_unit (unit); if (u < 0) return write(u, *) write(u, '(A)') "\end{gmlfile}" write(u, '(A)') "\end{document}" end subroutine analysis_store_write_driver_footer @ %def analysis_store_write_driver_footer @ \subsection{API} \subsubsection{Creating new objects} The specific versions below: <<Analysis: public>>= public :: analysis_init_observable <<Analysis: procedures>>= subroutine analysis_init_observable (id, obs_label, obs_unit, graph_options) type(string_t), intent(in) :: id type(string_t), intent(in), optional :: obs_label, obs_unit type(graph_options_t), intent(in), optional :: graph_options type(analysis_object_t), pointer :: obj type(observable_t), pointer :: obs call analysis_store_init_object (id, AN_OBSERVABLE, obj) obs => analysis_object_get_observable_ptr (obj) call observable_init (obs, obs_label, obs_unit, graph_options) end subroutine analysis_init_observable @ %def analysis_init_observable <<Analysis: public>>= public :: analysis_init_histogram <<Analysis: interfaces>>= interface analysis_init_histogram module procedure analysis_init_histogram_n_bins module procedure analysis_init_histogram_bin_width end interface <<Analysis: procedures>>= subroutine analysis_init_histogram_n_bins & (id, lower_bound, upper_bound, n_bins, normalize_bins, & obs_label, obs_unit, graph_options, drawing_options) type(string_t), intent(in) :: id real(default), intent(in) :: lower_bound, upper_bound integer, intent(in) :: n_bins logical, intent(in) :: normalize_bins type(string_t), intent(in), optional :: obs_label, obs_unit type(graph_options_t), intent(in), optional :: graph_options type(drawing_options_t), intent(in), optional :: drawing_options type(analysis_object_t), pointer :: obj type(histogram_t), pointer :: h call analysis_store_init_object (id, AN_HISTOGRAM, obj) h => analysis_object_get_histogram_ptr (obj) call histogram_init (h, id, & lower_bound, upper_bound, n_bins, normalize_bins, & obs_label, obs_unit, graph_options, drawing_options) end subroutine analysis_init_histogram_n_bins subroutine analysis_init_histogram_bin_width & (id, lower_bound, upper_bound, bin_width, normalize_bins, & obs_label, obs_unit, graph_options, drawing_options) type(string_t), intent(in) :: id real(default), intent(in) :: lower_bound, upper_bound, bin_width logical, intent(in) :: normalize_bins type(string_t), intent(in), optional :: obs_label, obs_unit type(graph_options_t), intent(in), optional :: graph_options type(drawing_options_t), intent(in), optional :: drawing_options type(analysis_object_t), pointer :: obj type(histogram_t), pointer :: h call analysis_store_init_object (id, AN_HISTOGRAM, obj) h => analysis_object_get_histogram_ptr (obj) call histogram_init (h, id, & lower_bound, upper_bound, bin_width, normalize_bins, & obs_label, obs_unit, graph_options, drawing_options) end subroutine analysis_init_histogram_bin_width @ %def analysis_init_histogram_n_bins @ %def analysis_init_histogram_bin_width <<Analysis: public>>= public :: analysis_init_plot <<Analysis: procedures>>= subroutine analysis_init_plot (id, graph_options, drawing_options) type(string_t), intent(in) :: id type(graph_options_t), intent(in), optional :: graph_options type(drawing_options_t), intent(in), optional :: drawing_options type(analysis_object_t), pointer :: obj type(plot_t), pointer :: plot call analysis_store_init_object (id, AN_PLOT, obj) plot => analysis_object_get_plot_ptr (obj) call plot_init (plot, id, graph_options, drawing_options) end subroutine analysis_init_plot @ %def analysis_init_plot <<Analysis: public>>= public :: analysis_init_graph <<Analysis: procedures>>= subroutine analysis_init_graph (id, n_elements, graph_options) type(string_t), intent(in) :: id integer, intent(in) :: n_elements type(graph_options_t), intent(in), optional :: graph_options type(analysis_object_t), pointer :: obj type(graph_t), pointer :: graph call analysis_store_init_object (id, AN_GRAPH, obj) graph => analysis_object_get_graph_ptr (obj) call graph_init (graph, id, n_elements, graph_options) end subroutine analysis_init_graph @ %def analysis_init_graph @ \subsubsection{Recording data} This procedure resets an object or the whole store to its initial state. <<Analysis: public>>= public :: analysis_clear <<Analysis: interfaces>>= interface analysis_clear module procedure analysis_store_clear_obj module procedure analysis_store_clear_all end interface <<Analysis: procedures>>= subroutine analysis_store_clear_obj (id) type(string_t), intent(in) :: id type(analysis_object_t), pointer :: obj obj => analysis_store_get_object_ptr (id) if (associated (obj)) then call analysis_object_clear (obj) end if end subroutine analysis_store_clear_obj subroutine analysis_store_clear_all () type(analysis_object_t), pointer :: obj obj => analysis_store%first do while (associated (obj)) call analysis_object_clear (obj) obj => obj%next end do end subroutine analysis_store_clear_all @ %def analysis_clear @ There is one generic recording function whose behavior depends on the type of analysis object. <<Analysis: public>>= public :: analysis_record_data <<Analysis: procedures>>= subroutine analysis_record_data (id, x, y, yerr, xerr, & weight, excess, success, exist) type(string_t), intent(in) :: id real(default), intent(in) :: x real(default), intent(in), optional :: y, yerr, xerr, weight, excess logical, intent(out), optional :: success, exist type(analysis_object_t), pointer :: obj obj => analysis_store_get_object_ptr (id) if (associated (obj)) then call analysis_object_record_data (obj, x, y, yerr, xerr, & weight, excess, success) if (present (exist)) exist = .true. else if (present (success)) success = .false. if (present (exist)) exist = .false. end if end subroutine analysis_record_data @ %def analysis_record_data @ \subsubsection{Build a graph} This routine sets up the array of graph elements by copying the graph elements given as input. The object must exist and already be initialized as a graph. <<Analysis: public>>= public :: analysis_fill_graph <<Analysis: procedures>>= subroutine analysis_fill_graph (id, i, id_in, drawing_options) type(string_t), intent(in) :: id integer, intent(in) :: i type(string_t), intent(in) :: id_in type(drawing_options_t), intent(in), optional :: drawing_options type(analysis_object_t), pointer :: obj type(graph_t), pointer :: g type(histogram_t), pointer :: h type(plot_t), pointer :: p obj => analysis_store_get_object_ptr (id) g => analysis_object_get_graph_ptr (obj) obj => analysis_store_get_object_ptr (id_in) if (associated (obj)) then select case (obj%type) case (AN_HISTOGRAM) h => analysis_object_get_histogram_ptr (obj) call graph_insert_histogram (g, i, h, drawing_options) case (AN_PLOT) p => analysis_object_get_plot_ptr (obj) call graph_insert_plot (g, i, p, drawing_options) case default call msg_error ("Graph '" // char (id) // "': Element '" & // char (id_in) // "' is neither histogram nor plot.") end select else call msg_error ("Graph '" // char (id) // "': Element '" & // char (id_in) // "' is undefined.") end if end subroutine analysis_fill_graph @ %def analysis_fill_graph @ \subsubsection{Retrieve generic results} Check if a named object exists. <<Analysis: public>>= public :: analysis_exists <<Analysis: procedures>>= function analysis_exists (id) result (flag) type(string_t), intent(in) :: id logical :: flag type(analysis_object_t), pointer :: obj flag = .true. obj => analysis_store%first do while (associated (obj)) if (obj%id == id) return obj => obj%next end do flag = .false. end function analysis_exists @ %def analysis_exists @ The following functions should work for all kinds of analysis object: <<Analysis: public>>= public :: analysis_get_n_elements public :: analysis_get_n_entries public :: analysis_get_average public :: analysis_get_error <<Analysis: procedures>>= function analysis_get_n_elements (id) result (n) integer :: n type(string_t), intent(in) :: id type(analysis_object_t), pointer :: obj obj => analysis_store_get_object_ptr (id) if (associated (obj)) then n = analysis_object_get_n_elements (obj) else n = 0 end if end function analysis_get_n_elements function analysis_get_n_entries (id, within_bounds) result (n) integer :: n type(string_t), intent(in) :: id logical, intent(in), optional :: within_bounds type(analysis_object_t), pointer :: obj obj => analysis_store_get_object_ptr (id) if (associated (obj)) then n = analysis_object_get_n_entries (obj, within_bounds) else n = 0 end if end function analysis_get_n_entries function analysis_get_average (id, within_bounds) result (avg) real(default) :: avg type(string_t), intent(in) :: id type(analysis_object_t), pointer :: obj logical, intent(in), optional :: within_bounds obj => analysis_store_get_object_ptr (id) if (associated (obj)) then avg = analysis_object_get_average (obj, within_bounds) else avg = 0 end if end function analysis_get_average function analysis_get_error (id, within_bounds) result (err) real(default) :: err type(string_t), intent(in) :: id type(analysis_object_t), pointer :: obj logical, intent(in), optional :: within_bounds obj => analysis_store_get_object_ptr (id) if (associated (obj)) then err = analysis_object_get_error (obj, within_bounds) else err = 0 end if end function analysis_get_error @ %def analysis_get_n_elements @ %def analysis_get_n_entries @ %def analysis_get_average @ %def analysis_get_error @ Return true if any analysis object is graphical <<Analysis: public>>= public :: analysis_has_plots <<Analysis: interfaces>>= interface analysis_has_plots module procedure analysis_has_plots_any module procedure analysis_has_plots_obj end interface <<Analysis: procedures>>= function analysis_has_plots_any () result (flag) logical :: flag type(analysis_object_t), pointer :: obj flag = .false. obj => analysis_store%first do while (associated (obj)) flag = analysis_object_has_plot (obj) if (flag) return end do end function analysis_has_plots_any function analysis_has_plots_obj (id) result (flag) logical :: flag type(string_t), dimension(:), intent(in) :: id type(analysis_object_t), pointer :: obj integer :: i flag = .false. do i = 1, size (id) obj => analysis_store_get_object_ptr (id(i)) if (associated (obj)) then flag = analysis_object_has_plot (obj) if (flag) return end if end do end function analysis_has_plots_obj @ %def analysis_has_plots @ \subsubsection{Iterators} Initialize an iterator for the given object. If the object does not exist or has wrong type, the iterator will be invalid. <<Analysis: public>>= public :: analysis_init_iterator <<Analysis: procedures>>= subroutine analysis_init_iterator (id, iterator) type(string_t), intent(in) :: id type(analysis_iterator_t), intent(out) :: iterator type(analysis_object_t), pointer :: obj obj => analysis_store_get_object_ptr (id) if (associated (obj)) call analysis_iterator_init (iterator, obj) end subroutine analysis_init_iterator @ %def analysis_init_iterator @ \subsubsection{Output} <<Analysis: public>>= public :: analysis_write <<Analysis: interfaces>>= interface analysis_write module procedure analysis_write_object module procedure analysis_write_all end interface @ %def interface <<Analysis: procedures>>= subroutine analysis_write_object (id, unit, verbose) type(string_t), intent(in) :: id integer, intent(in), optional :: unit logical, intent(in), optional :: verbose type(analysis_object_t), pointer :: obj obj => analysis_store_get_object_ptr (id) if (associated (obj)) then call analysis_object_write (obj, unit, verbose) else call msg_error ("Analysis object '" // char (id) // "' not found") end if end subroutine analysis_write_object subroutine analysis_write_all (unit, verbose) integer, intent(in), optional :: unit logical, intent(in), optional :: verbose type(analysis_object_t), pointer :: obj integer :: u u = given_output_unit (unit); if (u < 0) return obj => analysis_store%first do while (associated (obj)) call analysis_object_write (obj, unit, verbose) obj => obj%next end do end subroutine analysis_write_all @ %def analysis_write_object @ %def analysis_write_all <<Analysis: public>>= public :: analysis_write_driver <<Analysis: procedures>>= subroutine analysis_write_driver (filename_data, id, unit) type(string_t), intent(in) :: filename_data type(string_t), dimension(:), intent(in), optional :: id integer, intent(in), optional :: unit if (present (id)) then call analysis_store_write_driver_obj (filename_data, id, unit) else call analysis_store_write_driver_all (filename_data, unit) end if end subroutine analysis_write_driver @ %def analysis_write_driver <<Analysis: public>>= public :: analysis_compile_tex <<Analysis: procedures>>= subroutine analysis_compile_tex (file, has_gmlcode, os_data) type(string_t), intent(in) :: file logical, intent(in) :: has_gmlcode type(os_data_t), intent(in) :: os_data integer :: status if (os_data%event_analysis_ps) then call os_system_call ("make compile " // os_data%makeflags // " -f " // & char (file) // "_ana.makefile", status) if (status /= 0) then call msg_error ("Unable to compile analysis output file") end if else call msg_warning ("Skipping results display because " & // "latex/mpost/dvips is not available") end if end subroutine analysis_compile_tex @ %def analysis_compile_tex @ Write header for generic data output to an ifile. <<Analysis: public>>= public :: analysis_get_header <<Analysis: procedures>>= subroutine analysis_get_header (id, header, comment) type(string_t), intent(in) :: id type(ifile_t), intent(inout) :: header type(string_t), intent(in), optional :: comment type(analysis_object_t), pointer :: object object => analysis_store_get_object_ptr (id) if (associated (object)) then call analysis_object_get_header (object, header, comment) end if end subroutine analysis_get_header @ %def analysis_get_header @ Write a makefile in order to do the compile steps. <<Analysis: public>>= public :: analysis_write_makefile <<Analysis: procedures>>= subroutine analysis_write_makefile (filename, unit, has_gmlcode, os_data) type(string_t), intent(in) :: filename integer, intent(in) :: unit logical, intent(in) :: has_gmlcode type(os_data_t), intent(in) :: os_data write (unit, "(3A)") "# WHIZARD: Makefile for analysis '", & char (filename), "'" write (unit, "(A)") "# Automatically generated file, do not edit" write (unit, "(A)") "" write (unit, "(A)") "# LaTeX setup" write (unit, "(A)") "LATEX = " // char (os_data%latex) write (unit, "(A)") "MPOST = " // char (os_data%mpost) write (unit, "(A)") "GML = " // char (os_data%gml) write (unit, "(A)") "DVIPS = " // char (os_data%dvips) write (unit, "(A)") "PS2PDF = " // char (os_data%ps2pdf) write (unit, "(A)") 'TEX_FLAGS = "$$TEXINPUTS:' // & char(os_data%whizard_texpath) // '"' write (unit, "(A)") 'MP_FLAGS = "$$MPINPUTS:' // & char(os_data%whizard_texpath) // '"' write (unit, "(A)") "" write (unit, "(5A)") "TEX_SOURCES = ", char (filename), ".tex" if (os_data%event_analysis_pdf) then write (unit, "(5A)") "TEX_OBJECTS = ", char (filename), ".pdf" else write (unit, "(5A)") "TEX_OBJECTS = ", char (filename), ".ps" end if if (os_data%event_analysis_ps) then if (os_data%event_analysis_pdf) then write (unit, "(5A)") char (filename), ".pdf: ", & char (filename), ".tex" else write (unit, "(5A)") char (filename), ".ps: ", & char (filename), ".tex" end if write (unit, "(5A)") TAB, "-TEXINPUTS=$(TEX_FLAGS) $(LATEX) " // & char (filename) // ".tex" if (has_gmlcode) then write (unit, "(5A)") TAB, "$(GML) " // char (filename) write (unit, "(5A)") TAB, "TEXINPUTS=$(TEX_FLAGS) $(LATEX) " // & char (filename) // ".tex" end if write (unit, "(5A)") TAB, "$(DVIPS) -o " // char (filename) // ".ps " // & char (filename) // ".dvi" if (os_data%event_analysis_pdf) then write (unit, "(5A)") TAB, "$(PS2PDF) " // char (filename) // ".ps" end if end if write (unit, "(A)") write (unit, "(A)") "compile: $(TEX_OBJECTS)" write (unit, "(A)") ".PHONY: compile" write (unit, "(A)") write (unit, "(5A)") "CLEAN_OBJECTS = ", char (filename), ".aux" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".log" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".dvi" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".out" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".[1-9]" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".[1-9][0-9]" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".[1-9][0-9][0-9]" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".t[1-9]" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".t[1-9][0-9]" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".t[1-9][0-9][0-9]" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".ltp" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".mp" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".mpx" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".dvi" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".ps" write (unit, "(5A)") "CLEAN_OBJECTS += ", char (filename), ".pdf" write (unit, "(A)") write (unit, "(A)") "# Generic cleanup targets" write (unit, "(A)") "clean-objects:" write (unit, "(A)") TAB // "rm -f $(CLEAN_OBJECTS)" write (unit, "(A)") "" write (unit, "(A)") "clean: clean-objects" write (unit, "(A)") ".PHONY: clean" end subroutine analysis_write_makefile @ %def analysis_write_makefile @ \subsection{Unit tests} Test module, followed by the corresponding implementation module. <<[[analysis_ut.f90]]>>= <<File header>> module analysis_ut use unit_tests use analysis_uti <<Standard module head>> <<Analysis: public test>> contains <<Analysis: test driver>> end module analysis_ut @ %def analysis_ut @ <<[[analysis_uti.f90]]>>= <<File header>> module analysis_uti <<Use kinds>> <<Use strings>> use format_defs, only: FMT_19 use analysis <<Standard module head>> <<Analysis: test declarations>> contains <<Analysis: tests>> end module analysis_uti @ %def analysis_ut @ API: driver for the unit tests below. <<Analysis: public test>>= public :: analysis_test <<Analysis: test driver>>= subroutine analysis_test (u, results) integer, intent(in) :: u type(test_results_t), intent(inout) :: results <<Analysis: execute tests>> end subroutine analysis_test @ %def analysis_test <<Analysis: execute tests>>= call test (analysis_1, "analysis_1", & "check elementary analysis building blocks", & u, results) <<Analysis: test declarations>>= public :: analysis_1 <<Analysis: tests>>= subroutine analysis_1 (u) integer, intent(in) :: u type(string_t) :: id1, id2, id3, id4 integer :: i id1 = "foo" id2 = "bar" id3 = "hist" id4 = "plot" write (u, "(A)") "* Test output: Analysis" write (u, "(A)") "* Purpose: test the analysis routines" write (u, "(A)") call analysis_init_observable (id1) call analysis_init_observable (id2) call analysis_init_histogram & (id3, 0.5_default, 5.5_default, 1._default, normalize_bins=.false.) call analysis_init_plot (id4) do i = 1, 3 write (u, "(A,1x," // FMT_19 // ")") "data = ", real(i,default) call analysis_record_data (id1, real(i,default)) call analysis_record_data (id2, real(i,default), & weight=real(i,default)) call analysis_record_data (id3, real(i,default)) call analysis_record_data (id4, real(i,default), real(i,default)**2) end do write (u, "(A,10(1x,I5))") "n_entries = ", & analysis_get_n_entries (id1), & analysis_get_n_entries (id2), & analysis_get_n_entries (id3), & analysis_get_n_entries (id3, within_bounds = .true.), & analysis_get_n_entries (id4), & analysis_get_n_entries (id4, within_bounds = .true.) write (u, "(A,10(1x," // FMT_19 // "))") "average = ", & analysis_get_average (id1), & analysis_get_average (id2), & analysis_get_average (id3), & analysis_get_average (id3, within_bounds = .true.) write (u, "(A,10(1x," // FMT_19 // "))") "error = ", & analysis_get_error (id1), & analysis_get_error (id2), & analysis_get_error (id3), & analysis_get_error (id3, within_bounds = .true.) write (u, "(A)") write (u, "(A)") "* Clear analysis #2" write (u, "(A)") call analysis_clear (id2) do i = 4, 6 print *, "data = ", real(i,default) call analysis_record_data (id1, real(i,default)) call analysis_record_data (id2, real(i,default), & weight=real(i,default)) call analysis_record_data (id3, real(i,default)) call analysis_record_data (id4, real(i,default), real(i,default)**2) end do write (u, "(A,10(1x,I5))") "n_entries = ", & analysis_get_n_entries (id1), & analysis_get_n_entries (id2), & analysis_get_n_entries (id3), & analysis_get_n_entries (id3, within_bounds = .true.), & analysis_get_n_entries (id4), & analysis_get_n_entries (id4, within_bounds = .true.) write (u, "(A,10(1x," // FMT_19 // "))") "average = ", & analysis_get_average (id1), & analysis_get_average (id2), & analysis_get_average (id3), & analysis_get_average (id3, within_bounds = .true.) write (u, "(A,10(1x," // FMT_19 // "))") "error = ", & analysis_get_error (id1), & analysis_get_error (id2), & analysis_get_error (id3), & analysis_get_error (id3, within_bounds = .true.) write (u, "(A)") call analysis_write (u) write (u, "(A)") write (u, "(A)") "* Cleanup" call analysis_clear () call analysis_final () write (u, "(A)") write (u, "(A)") "* Test output end: analysis_1" end subroutine analysis_1 @ %def analysis_1 Index: trunk/src/model_features/model_features.nw =================================================================== --- trunk/src/model_features/model_features.nw (revision 8512) +++ trunk/src/model_features/model_features.nw (revision 8513) @@ -1,17324 +1,17328 @@ % -*- ess-noweb-default-code-mode: f90-mode; noweb-default-code-mode: f90-mode; -*- % WHIZARD code as NOWEB source: model features %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \chapter{Model Handling and Features} \includemodulegraph{model_features} These modules deal with process definitions and physics models. These modules use the [[model_data]] methods to automatically generate process definitions. \begin{description} \item[auto\_components] Generic process-definition generator. We can specify a basic process or initial particle(s) and some rules to extend this process, given a model definition with particle names and vertex structures. \item[radiation\_generator] Applies the generic generator to the specific problem of generating NLO corrections in a restricted setup. \end{description} Model construction: \begin{description} \item[eval\_trees] Implementation of the generic [[expr_t]] type for the concrete evaluation of expressions that access user variables. This module is actually part of the Sindarin language implementation, and should be moved elsewhere. Currently, the [[models]] module relies on it. \item[models] Extends the [[model_data_t]] structure by user-variable objects for easy access, and provides the means to read a model definition from file. \item[slha\_interface] Read/write a SUSY model in the standardized SLHA format. The format defines fields and parameters, but no vertices. \end{description} \clearpage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Automatic generation of process components} This module provides the functionality for automatically generating radiation corrections or decays, provided as lists of PDG codes. <<[[auto_components.f90]]>>= <<File header>> module auto_components <<Use kinds>> <<Use strings>> use io_units use diagnostics use model_data use pdg_arrays use physics_defs, only: PHOTON, GLUON, Z_BOSON, W_BOSON use numeric_utils, only: extend_integer_array <<Standard module head>> <<Auto components: public>> <<Auto components: parameters>> <<Auto components: types>> <<Auto components: interfaces>> contains <<Auto components: procedures>> end module auto_components @ %def auto_components @ \subsection{Constraints: Abstract types} An abstract type that denotes a constraint on the automatically generated states. The concrete objects are applied as visitor objects at certain hooks during the splitting algorithm. <<Auto components: types>>= type, abstract :: split_constraint_t contains <<Auto components: split constraint: TBP>> end type split_constraint_t @ %def split_constraint_t @ By default, all checks return true. <<Auto components: split constraint: TBP>>= procedure :: check_before_split => split_constraint_check_before_split procedure :: check_before_insert => split_constraint_check_before_insert procedure :: check_before_record => split_constraint_check_before_record <<Auto components: procedures>>= subroutine split_constraint_check_before_split (c, table, pl, k, passed) class(split_constraint_t), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: k logical, intent(out) :: passed passed = .true. end subroutine split_constraint_check_before_split subroutine split_constraint_check_before_insert (c, table, pa, pl, passed) class(split_constraint_t), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_array_t), intent(in) :: pa type(pdg_list_t), intent(inout) :: pl logical, intent(out) :: passed passed = .true. end subroutine split_constraint_check_before_insert subroutine split_constraint_check_before_record (c, table, pl, n_loop, passed) class(split_constraint_t), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop logical, intent(out) :: passed passed = .true. end subroutine split_constraint_check_before_record @ %def check_before_split @ %def check_before_insert @ %def check_before_record @ A transparent wrapper, so we can collect constraints of different type. <<Auto components: types>>= type :: split_constraint_wrap_t class(split_constraint_t), allocatable :: c end type split_constraint_wrap_t @ %def split_constraint_wrap_t @ A collection of constraints. <<Auto components: public>>= public :: split_constraints_t <<Auto components: types>>= type :: split_constraints_t class(split_constraint_wrap_t), dimension(:), allocatable :: cc contains <<Auto components: split constraints: TBP>> end type split_constraints_t @ %def split_constraints_t @ Initialize the constraints set with a specific number of elements. <<Auto components: split constraints: TBP>>= procedure :: init => split_constraints_init <<Auto components: procedures>>= subroutine split_constraints_init (constraints, n) class(split_constraints_t), intent(out) :: constraints integer, intent(in) :: n allocate (constraints%cc (n)) end subroutine split_constraints_init @ %def split_constraints_init @ Set a constraint. <<Auto components: split constraints: TBP>>= procedure :: set => split_constraints_set <<Auto components: procedures>>= subroutine split_constraints_set (constraints, i, c) class(split_constraints_t), intent(inout) :: constraints integer, intent(in) :: i class(split_constraint_t), intent(in) :: c allocate (constraints%cc(i)%c, source = c) end subroutine split_constraints_set @ %def split_constraints_set @ Apply checks. [[check_before_split]] is applied to the particle list that we want to split. [[check_before_insert]] is applied to the particle list [[pl]] that is to replace the particle [[pa]] that is split. This check may transform the particle list. [[check_before_record]] is applied to the complete new particle list that results from splitting before it is recorded. <<Auto components: split constraints: TBP>>= procedure :: check_before_split => split_constraints_check_before_split procedure :: check_before_insert => split_constraints_check_before_insert procedure :: check_before_record => split_constraints_check_before_record <<Auto components: procedures>>= subroutine split_constraints_check_before_split & (constraints, table, pl, k, passed) class(split_constraints_t), intent(in) :: constraints class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: k logical, intent(out) :: passed integer :: i passed = .true. do i = 1, size (constraints%cc) call constraints%cc(i)%c%check_before_split (table, pl, k, passed) if (.not. passed) return end do end subroutine split_constraints_check_before_split subroutine split_constraints_check_before_insert & (constraints, table, pa, pl, passed) class(split_constraints_t), intent(in) :: constraints class(ps_table_t), intent(in) :: table type(pdg_array_t), intent(in) :: pa type(pdg_list_t), intent(inout) :: pl logical, intent(out) :: passed integer :: i passed = .true. do i = 1, size (constraints%cc) call constraints%cc(i)%c%check_before_insert (table, pa, pl, passed) if (.not. passed) return end do end subroutine split_constraints_check_before_insert subroutine split_constraints_check_before_record & (constraints, table, pl, n_loop, passed) class(split_constraints_t), intent(in) :: constraints class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop logical, intent(out) :: passed integer :: i passed = .true. do i = 1, size (constraints%cc) call constraints%cc(i)%c%check_before_record (table, pl, n_loop, passed) if (.not. passed) return end do end subroutine split_constraints_check_before_record @ %def split_constraints_check_before_split @ %def split_constraints_check_before_insert @ %def split_constraints_check_before_record @ \subsection{Specific constraints} \subsubsection{Number of particles} Specific constraint: The number of particles plus the number of loops, if any, must remain less than the given limit. Note that the number of loops is defined only when we are recording the entry. <<Auto components: types>>= type, extends (split_constraint_t) :: constraint_n_tot private integer :: n_max = 0 contains procedure :: check_before_split => constraint_n_tot_check_before_split procedure :: check_before_record => constraint_n_tot_check_before_record end type constraint_n_tot @ %def constraint_n_tot <<Auto components: public>>= public :: constrain_n_tot <<Auto components: procedures>>= function constrain_n_tot (n_max) result (c) integer, intent(in) :: n_max type(constraint_n_tot) :: c c%n_max = n_max end function constrain_n_tot subroutine constraint_n_tot_check_before_split (c, table, pl, k, passed) class(constraint_n_tot), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: k logical, intent(out) :: passed passed = pl%get_size () < c%n_max end subroutine constraint_n_tot_check_before_split subroutine constraint_n_tot_check_before_record (c, table, pl, n_loop, passed) class(constraint_n_tot), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop logical, intent(out) :: passed passed = pl%get_size () + n_loop <= c%n_max end subroutine constraint_n_tot_check_before_record @ %def constrain_n_tot @ %def constraint_n_tot_check_before_insert @ \subsubsection{Number of loops} Specific constraint: The number of loops is limited, independent of the total number of particles. <<Auto components: types>>= type, extends (split_constraint_t) :: constraint_n_loop private integer :: n_loop_max = 0 contains procedure :: check_before_record => constraint_n_loop_check_before_record end type constraint_n_loop @ %def constraint_n_loop <<Auto components: public>>= public :: constrain_n_loop <<Auto components: procedures>>= function constrain_n_loop (n_loop_max) result (c) integer, intent(in) :: n_loop_max type(constraint_n_loop) :: c c%n_loop_max = n_loop_max end function constrain_n_loop subroutine constraint_n_loop_check_before_record & (c, table, pl, n_loop, passed) class(constraint_n_loop), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop logical, intent(out) :: passed passed = n_loop <= c%n_loop_max end subroutine constraint_n_loop_check_before_record @ %def constrain_n_loop @ %def constraint_n_loop_check_before_insert @ \subsubsection{Particles allowed in splitting} Specific constraint: The entries in the particle list ready for insertion are matched to a given list of particle patterns. If a match occurs, the entry is replaced by the corresponding pattern. If there is no match, the check fails. If a massless gauge boson splitting is detected, the splitting partners are checked against a list of excluded particles. If a match occurs, the check fails. <<Auto components: types>>= type, extends (split_constraint_t) :: constraint_splittings private type(pdg_list_t) :: pl_match, pl_excluded_gauge_splittings contains procedure :: check_before_insert => constraint_splittings_check_before_insert end type constraint_splittings @ %def constraint_splittings <<Auto components: public>>= public :: constrain_splittings <<Auto components: procedures>>= function constrain_splittings (pl_match, pl_excluded_gauge_splittings) result (c) type(pdg_list_t), intent(in) :: pl_match type(pdg_list_t), intent(in) :: pl_excluded_gauge_splittings type(constraint_splittings) :: c c%pl_match = pl_match c%pl_excluded_gauge_splittings = pl_excluded_gauge_splittings end function constrain_splittings subroutine constraint_splittings_check_before_insert (c, table, pa, pl, passed) class(constraint_splittings), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_array_t), intent(in) :: pa type(pdg_list_t), intent(inout) :: pl logical, intent(out) :: passed logical :: has_massless_vector integer :: i has_massless_vector = .false. do i = 1, pa%get_length () if (is_massless_vector(pa%get(i))) then has_massless_vector = .true. exit end if end do passed = .false. if (has_massless_vector .and. count (is_fermion(pl%a%get ())) == 2) then do i = 1, c%pl_excluded_gauge_splittings%get_size () if (pl .match. c%pl_excluded_gauge_splittings%a(i)) return end do call pl%match_replace (c%pl_match, passed) passed = .true. else call pl%match_replace (c%pl_match, passed) end if end subroutine constraint_splittings_check_before_insert @ %def constrain_splittings @ %def constraint_splittings_check_before_insert @ Specific constraint: The entries in the particle list ready for insertion are matched to a given list of particle patterns. If a match occurs, the entry is replaced by the corresponding pattern. If there is no match, the check fails. <<Auto components: types>>= type, extends (split_constraint_t) :: constraint_insert private type(pdg_list_t) :: pl_match contains procedure :: check_before_insert => constraint_insert_check_before_insert end type constraint_insert @ %def constraint_insert <<Auto components: public>>= public :: constrain_insert <<Auto components: procedures>>= function constrain_insert (pl_match) result (c) type(pdg_list_t), intent(in) :: pl_match type(constraint_insert) :: c c%pl_match = pl_match end function constrain_insert subroutine constraint_insert_check_before_insert (c, table, pa, pl, passed) class(constraint_insert), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_array_t), intent(in) :: pa type(pdg_list_t), intent(inout) :: pl logical, intent(out) :: passed call pl%match_replace (c%pl_match, passed) end subroutine constraint_insert_check_before_insert @ %def constrain_insert @ %def constraint_insert_check_before_insert @ \subsubsection{Particles required in final state} Specific constraint: The entries in the recorded state must be a superset of the entries in the given list (for instance, the lowest-order state). <<Auto components: types>>= type, extends (split_constraint_t) :: constraint_require private type(pdg_list_t) :: pl contains procedure :: check_before_record => constraint_require_check_before_record end type constraint_require @ %def constraint_require @ We check the current state by matching all particle entries against the stored particle list, and crossing out the particles in the latter list when a match is found. The constraint passed if all entries have been crossed out. For an [[if_table]] in particular, we check the final state only. <<Auto components: public>>= public :: constrain_require <<Auto components: procedures>>= function constrain_require (pl) result (c) type(pdg_list_t), intent(in) :: pl type(constraint_require) :: c c%pl = pl end function constrain_require subroutine constraint_require_check_before_record & (c, table, pl, n_loop, passed) class(constraint_require), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop logical, intent(out) :: passed logical, dimension(:), allocatable :: mask integer :: i, k, n_in select type (table) type is (if_table_t) if (table%proc_type > 0) then select case (table%proc_type) case (PROC_DECAY) n_in = 1 case (PROC_SCATTER) n_in = 2 end select else call msg_fatal ("Neither a decay nor a scattering process") end if class default n_in = 0 end select allocate (mask (c%pl%get_size ()), source = .true.) do i = n_in + 1, pl%get_size () k = c%pl%find_match (pl%get (i), mask) if (k /= 0) mask(k) = .false. end do passed = .not. any (mask) end subroutine constraint_require_check_before_record @ %def constrain_require @ %def constraint_require_check_before_record @ \subsubsection{Radiation} Specific constraint: We have radiation pattern if the original particle matches an entry in the list of particles that should replace it. The constraint prohibits this situation. <<Auto components: public>>= public :: constrain_radiation <<Auto components: types>>= type, extends (split_constraint_t) :: constraint_radiation private contains procedure :: check_before_insert => & constraint_radiation_check_before_insert end type constraint_radiation @ %def constraint_radiation <<Auto components: procedures>>= function constrain_radiation () result (c) type(constraint_radiation) :: c end function constrain_radiation subroutine constraint_radiation_check_before_insert (c, table, pa, pl, passed) class(constraint_radiation), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_array_t), intent(in) :: pa type(pdg_list_t), intent(inout) :: pl logical, intent(out) :: passed passed = .not. (pl .match. pa) end subroutine constraint_radiation_check_before_insert @ %def constrain_radiation @ %def constraint_radiation_check_before_insert @ \subsubsection{Mass sum} Specific constraint: The sum of masses within the particle list must be smaller than a given limit. For in/out state combinations, we check initial and final state separately. If we specify [[margin]] in the initialization, the sum must be strictly less than the limit minus the given margin (which may be zero). If not, equality is allowed. <<Auto components: public>>= public :: constrain_mass_sum <<Auto components: types>>= type, extends (split_constraint_t) :: constraint_mass_sum private real(default) :: mass_limit = 0 logical :: strictly_less = .false. real(default) :: margin = 0 contains procedure :: check_before_record => constraint_mass_sum_check_before_record end type constraint_mass_sum @ %def contraint_mass_sum <<Auto components: procedures>>= function constrain_mass_sum (mass_limit, margin) result (c) real(default), intent(in) :: mass_limit real(default), intent(in), optional :: margin type(constraint_mass_sum) :: c c%mass_limit = mass_limit if (present (margin)) then c%strictly_less = .true. c%margin = margin end if end function constrain_mass_sum subroutine constraint_mass_sum_check_before_record & (c, table, pl, n_loop, passed) class(constraint_mass_sum), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop logical, intent(out) :: passed real(default) :: limit if (c%strictly_less) then limit = c%mass_limit - c%margin select type (table) type is (if_table_t) passed = mass_sum (pl, 1, 2, table%model) < limit & .and. mass_sum (pl, 3, pl%get_size (), table%model) < limit class default passed = mass_sum (pl, 1, pl%get_size (), table%model) < limit end select else limit = c%mass_limit select type (table) type is (if_table_t) passed = mass_sum (pl, 1, 2, table%model) <= limit & .and. mass_sum (pl, 3, pl%get_size (), table%model) <= limit class default passed = mass_sum (pl, 1, pl%get_size (), table%model) <= limit end select end if end subroutine constraint_mass_sum_check_before_record @ %def constrain_mass_sum @ %def constraint_mass_sum_check_before_record @ \subsubsection{Initial state particles} Specific constraint: The two incoming particles must both match the given particle list. This is checked for the generated particle list, just before it is recorded. <<Auto components: public>>= public :: constrain_in_state <<Auto components: types>>= type, extends (split_constraint_t) :: constraint_in_state private type(pdg_list_t) :: pl contains procedure :: check_before_record => constraint_in_state_check_before_record end type constraint_in_state @ %def constraint_in_state <<Auto components: procedures>>= function constrain_in_state (pl) result (c) type(pdg_list_t), intent(in) :: pl type(constraint_in_state) :: c c%pl = pl end function constrain_in_state subroutine constraint_in_state_check_before_record & (c, table, pl, n_loop, passed) class(constraint_in_state), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop logical, intent(out) :: passed integer :: i select type (table) type is (if_table_t) passed = .false. do i = 1, 2 if (.not. (c%pl .match. pl%get (i))) return end do end select passed = .true. end subroutine constraint_in_state_check_before_record @ %def constrain_in_state @ %def constraint_in_state_check_before_record @ \subsubsection{Photon induced processes} If set, filter out photon induced processes. <<Auto components: public>>= public :: constrain_photon_induced_processes <<Auto components: types>>= type, extends (split_constraint_t) :: constraint_photon_induced_processes private integer :: n_in contains procedure :: check_before_record => & constraint_photon_induced_processes_check_before_record end type constraint_photon_induced_processes @ %def constraint_photon_induced_processes <<Auto components: procedures>>= function constrain_photon_induced_processes (n_in) result (c) integer, intent(in) :: n_in type(constraint_photon_induced_processes) :: c c%n_in = n_in end function constrain_photon_induced_processes subroutine constraint_photon_induced_processes_check_before_record & (c, table, pl, n_loop, passed) class(constraint_photon_induced_processes), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop logical, intent(out) :: passed integer :: i select type (table) type is (if_table_t) passed = .false. do i = 1, c%n_in if (pl%a(i)%get () == 22) return end do end select passed = .true. end subroutine constraint_photon_induced_processes_check_before_record @ %def constrain_photon_induced_processes @ %def constraint_photon_induced_processes_check_before_record @ \subsubsection{Coupling constraint} Filters vertices which do not match the desired NLO pattern. <<Auto components: types>>= type, extends (split_constraint_t) :: constraint_coupling_t private logical :: qed = .false. logical :: qcd = .true. logical :: ew = .false. integer :: n_nlo_correction_types contains <<Auto components: constraint coupling: TBP>> end type constraint_coupling_t @ %def constraint_coupling_t @ <<Auto components: public>>= public :: constrain_couplings <<Auto components: procedures>>= function constrain_couplings (qcd, qed, n_nlo_correction_types) result (c) type(constraint_coupling_t) :: c logical, intent(in) :: qcd, qed integer, intent(in) :: n_nlo_correction_types c%qcd = qcd; c%qed = qed c%n_nlo_correction_types = n_nlo_correction_types end function constrain_couplings @ %def constrain_couplings @ <<Auto components: constraint coupling: TBP>>= procedure :: check_before_insert => constraint_coupling_check_before_insert <<Auto components: procedures>>= subroutine constraint_coupling_check_before_insert (c, table, pa, pl, passed) class(constraint_coupling_t), intent(in) :: c class(ps_table_t), intent(in) :: table type(pdg_array_t), intent(in) :: pa type(pdg_list_t), intent(inout) :: pl logical, intent(out) :: passed type(pdg_list_t) :: pl_vertex type(pdg_array_t) :: pdg_gluon, pdg_photon, pdg_W_Z, pdg_gauge_bosons integer :: i, j pdg_gluon = GLUON; pdg_photon = PHOTON pdg_W_Z = [W_BOSON,-W_BOSON, Z_BOSON] if (c%qcd) pdg_gauge_bosons = pdg_gauge_bosons // pdg_gluon if (c%qed) pdg_gauge_bosons = pdg_gauge_bosons // pdg_photon if (c%ew) pdg_gauge_bosons = pdg_gauge_bosons // pdg_W_Z do j = 1, pa%get_length () call pl_vertex%init (pl%get_size () + 1) call pl_vertex%set (1, pa%get(j)) do i = 1, pl%get_size () call pl_vertex%set (i + 1, pl%get(i)) end do if (pl_vertex%get_size () > 3) then passed = .false. cycle end if if (is_massless_vector(pa%get(j))) then if (.not. table%model%check_vertex & (pl_vertex%a(1)%get (), pl_vertex%a(2)%get (), pl_vertex%a(3)%get ())) then passed = .false. cycle end if else if (.not. table%model%check_vertex & (- pl_vertex%a(1)%get (), pl_vertex%a(2)%get (), pl_vertex%a(3)%get ())) then passed = .false. cycle end if if (.not. (pl_vertex .match. pdg_gauge_bosons)) then passed = .false. cycle end if passed = .true. exit end do end subroutine constraint_coupling_check_before_insert @ %def constraint_coupling_check_before_insert @ \subsection{Tables of states} Automatically generate a list of possible process components for a given initial set (a single massive particle or a preset list of states). The set of process components are generated by recursive splitting, applying constraints on the fly that control and limit the process. The generated states are accumulated in a table that we can read out after completion. <<Auto components: types>>= type, extends (pdg_list_t) :: ps_entry_t integer :: n_loop = 0 integer :: n_rad = 0 type(ps_entry_t), pointer :: previous => null () type(ps_entry_t), pointer :: next => null () end type ps_entry_t @ %def ps_entry_t @ <<Auto components: parameters>>= integer, parameter :: PROC_UNDEFINED = 0 integer, parameter :: PROC_DECAY = 1 integer, parameter :: PROC_SCATTER = 2 @ %def auto_components parameters @ This is the wrapper type for the decay tree for the list of final states and the final array. First, an abstract base type: <<Auto components: public>>= public :: ps_table_t <<Auto components: types>>= type, abstract :: ps_table_t private class(model_data_t), pointer :: model => null () logical :: loops = .false. type(ps_entry_t), pointer :: first => null () type(ps_entry_t), pointer :: last => null () integer :: proc_type contains <<Auto components: ps table: TBP>> end type ps_table_t @ %def ps_table_t @ The extensions: one for decay, one for generic final states. The decay-state table stores the initial particle. The final-state table is indifferent, and the initial/final state table treats the first two particles in its list as incoming antiparticles. <<Auto components: public>>= public :: ds_table_t public :: fs_table_t public :: if_table_t <<Auto components: types>>= type, extends (ps_table_t) :: ds_table_t private integer :: pdg_in = 0 contains <<Auto components: ds table: TBP>> end type ds_table_t type, extends (ps_table_t) :: fs_table_t contains <<Auto components: fs table: TBP>> end type fs_table_t type, extends (fs_table_t) :: if_table_t contains <<Auto components: if table: TBP>> end type if_table_t @ %def ds_table_t fs_table_t if_table_t @ Finalizer: we must deallocate the embedded list. <<Auto components: ps table: TBP>>= procedure :: final => ps_table_final <<Auto components: procedures>>= subroutine ps_table_final (object) class(ps_table_t), intent(inout) :: object type(ps_entry_t), pointer :: current do while (associated (object%first)) current => object%first object%first => current%next deallocate (current) end do nullify (object%last) end subroutine ps_table_final @ %def ps_table_final @ Write the table. A base writer for the body and specific writers for the headers. <<Auto components: ps table: TBP>>= procedure :: base_write => ps_table_base_write procedure (ps_table_write), deferred :: write <<Auto components: interfaces>>= interface subroutine ps_table_write (object, unit) import class(ps_table_t), intent(in) :: object integer, intent(in), optional :: unit end subroutine ps_table_write end interface <<Auto components: ds table: TBP>>= procedure :: write => ds_table_write <<Auto components: fs table: TBP>>= procedure :: write => fs_table_write <<Auto components: if table: TBP>>= procedure :: write => if_table_write @ The first [[n_in]] particles will be replaced by antiparticles in the output, and we write an arrow if [[n_in]] is present. <<Auto components: procedures>>= subroutine ps_table_base_write (object, unit, n_in) class(ps_table_t), intent(in) :: object integer, intent(in), optional :: unit integer, intent(in), optional :: n_in integer, dimension(:), allocatable :: pdg type(ps_entry_t), pointer :: entry type(field_data_t), pointer :: prt integer :: u, i, j, n0 u = given_output_unit (unit) entry => object%first do while (associated (entry)) write (u, "(2x)", advance = "no") if (present (n_in)) then do i = 1, n_in write (u, "(1x)", advance = "no") pdg = entry%get (i) do j = 1, size (pdg) prt => object%model%get_field_ptr (pdg(j)) if (j > 1) write (u, "(':')", advance = "no") write (u, "(A)", advance = "no") & char (prt%get_name (pdg(j) >= 0)) end do end do write (u, "(1x,A)", advance = "no") "=>" n0 = n_in + 1 else n0 = 1 end if do i = n0, entry%get_size () write (u, "(1x)", advance = "no") pdg = entry%get (i) do j = 1, size (pdg) prt => object%model%get_field_ptr (pdg(j)) if (j > 1) write (u, "(':')", advance = "no") write (u, "(A)", advance = "no") & char (prt%get_name (pdg(j) < 0)) end do end do if (object%loops) then write (u, "(2x,'[',I0,',',I0,']')") entry%n_loop, entry%n_rad else write (u, "(A)") end if entry => entry%next end do end subroutine ps_table_base_write subroutine ds_table_write (object, unit) class(ds_table_t), intent(in) :: object integer, intent(in), optional :: unit type(field_data_t), pointer :: prt integer :: u u = given_output_unit (unit) prt => object%model%get_field_ptr (object%pdg_in) write (u, "(1x,A,1x,A)") "Decays for particle:", & char (prt%get_name (object%pdg_in < 0)) call object%base_write (u) end subroutine ds_table_write subroutine fs_table_write (object, unit) class(fs_table_t), intent(in) :: object integer, intent(in), optional :: unit integer :: u u = given_output_unit (unit) write (u, "(1x,A)") "Table of final states:" call object%base_write (u) end subroutine fs_table_write subroutine if_table_write (object, unit) class(if_table_t), intent(in) :: object integer, intent(in), optional :: unit integer :: u u = given_output_unit (unit) write (u, "(1x,A)") "Table of in/out states:" select case (object%proc_type) case (PROC_DECAY) call object%base_write (u, n_in = 1) case (PROC_SCATTER) call object%base_write (u, n_in = 2) end select end subroutine if_table_write @ %def ps_table_write ds_table_write fs_table_write @ Obtain a particle string for a given index in the pdg list <<Auto components: ps table: TBP>>= procedure :: get_particle_string => ps_table_get_particle_string <<Auto components: procedures>>= subroutine ps_table_get_particle_string (object, index, prt_in, prt_out) class(ps_table_t), intent(in) :: object integer, intent(in) :: index type(string_t), intent(out), dimension(:), allocatable :: prt_in, prt_out integer :: n_in type(field_data_t), pointer :: prt type(ps_entry_t), pointer :: entry integer, dimension(:), allocatable :: pdg integer :: n0 integer :: i, j entry => object%first i = 1 do while (i < index) if (associated (entry%next)) then entry => entry%next i = i + 1 else call msg_fatal ("ps_table: entry with requested index does not exist!") end if end do if (object%proc_type > 0) then select case (object%proc_type) case (PROC_DECAY) n_in = 1 case (PROC_SCATTER) n_in = 2 end select else call msg_fatal ("Neither decay nor scattering process") end if n0 = n_in + 1 allocate (prt_in (n_in), prt_out (entry%get_size () - n_in)) do i = 1, n_in prt_in(i) = "" pdg = entry%get(i) do j = 1, size (pdg) prt => object%model%get_field_ptr (pdg(j)) prt_in(i) = prt_in(i) // prt%get_name (pdg(j) >= 0) if (j /= size (pdg)) prt_in(i) = prt_in(i) // ":" end do end do do i = n0, entry%get_size () prt_out(i-n_in) = "" pdg = entry%get(i) do j = 1, size (pdg) prt => object%model%get_field_ptr (pdg(j)) prt_out(i-n_in) = prt_out(i-n_in) // prt%get_name (pdg(j) < 0) if (j /= size (pdg)) prt_out(i-n_in) = prt_out(i-n_in) // ":" end do end do end subroutine ps_table_get_particle_string @ %def ps_table_get_particle_string @ Initialize with a predefined set of final states, or in/out state lists. <<Auto components: ps table: TBP>>= generic :: init => ps_table_init procedure, private :: ps_table_init <<Auto components: if table: TBP>>= generic :: init => if_table_init procedure, private :: if_table_init <<Auto components: procedures>>= subroutine ps_table_init (table, model, pl, constraints, n_in, do_not_check_regular) class(ps_table_t), intent(out) :: table class(model_data_t), intent(in), target :: model type(pdg_list_t), dimension(:), intent(in) :: pl type(split_constraints_t), intent(in) :: constraints integer, intent(in), optional :: n_in logical, intent(in), optional :: do_not_check_regular logical :: passed integer :: i table%model => model if (present (n_in)) then select case (n_in) case (1) table%proc_type = PROC_DECAY case (2) table%proc_type = PROC_SCATTER case default table%proc_type = PROC_UNDEFINED end select else table%proc_type = PROC_UNDEFINED end if do i = 1, size (pl) call table%record (pl(i), 0, 0, constraints, & do_not_check_regular, passed) if (.not. passed) then call msg_fatal ("ps_table: Registering process components failed") end if end do end subroutine ps_table_init subroutine if_table_init (table, model, pl_in, pl_out, constraints) class(if_table_t), intent(out) :: table class(model_data_t), intent(in), target :: model type(pdg_list_t), dimension(:), intent(in) :: pl_in, pl_out type(split_constraints_t), intent(in) :: constraints integer :: i, j, k, p, n_in, n_out type(pdg_array_t), dimension(:), allocatable :: pa_in type(pdg_list_t), dimension(:), allocatable :: pl allocate (pl (size (pl_in) * size (pl_out))) k = 0 do i = 1, size (pl_in) n_in = pl_in(i)%get_size () allocate (pa_in (n_in)) do p = 1, n_in pa_in(p) = pl_in(i)%get (p) end do do j = 1, size (pl_out) n_out = pl_out(j)%get_size () k = k + 1 call pl(k)%init (n_in + n_out) do p = 1, n_in call pl(k)%set (p, invert_pdg_array (pa_in(p), model)) end do do p = 1, n_out call pl(k)%set (n_in + p, pl_out(j)%get (p)) end do end do deallocate (pa_in) end do n_in = size (pl_in(1)%a) call table%init (model, pl, constraints, n_in, do_not_check_regular = .true.) end subroutine if_table_init @ %def ps_table_init if_table_init @ Enable loops for the table. This affects both splitting and output. <<Auto components: ps table: TBP>>= procedure :: enable_loops => ps_table_enable_loops <<Auto components: procedures>>= subroutine ps_table_enable_loops (table) class(ps_table_t), intent(inout) :: table table%loops = .true. end subroutine ps_table_enable_loops @ %def ps_table_enable_loops @ \subsection{Top-level methods} Create a table for a single-particle decay. Construct all possible final states from a single particle with PDG code [[pdg_in]]. The construction is limited by the given [[constraints]]. <<Auto components: ds table: TBP>>= procedure :: make => ds_table_make <<Auto components: procedures>>= subroutine ds_table_make (table, model, pdg_in, constraints) class(ds_table_t), intent(out) :: table class(model_data_t), intent(in), target :: model integer, intent(in) :: pdg_in type(split_constraints_t), intent(in) :: constraints type(pdg_list_t) :: pl_in type(pdg_list_t), dimension(0) :: pl call table%init (model, pl, constraints) table%pdg_in = pdg_in call pl_in%init (1) call pl_in%set (1, [pdg_in]) call table%split (pl_in, 0, constraints) end subroutine ds_table_make @ %def ds_table_make @ Split all entries in a growing table, starting from a table that may already contain states. Add and record split states on the fly. <<Auto components: fs table: TBP>>= procedure :: radiate => fs_table_radiate <<Auto components: procedures>>= subroutine fs_table_radiate (table, constraints, do_not_check_regular) class(fs_table_t), intent(inout) :: table type(split_constraints_t) :: constraints logical, intent(in), optional :: do_not_check_regular type(ps_entry_t), pointer :: current current => table%first do while (associated (current)) call table%split (current, 0, constraints, record = .true., & do_not_check_regular = do_not_check_regular) current => current%next end do end subroutine fs_table_radiate @ %def fs_table_radiate @ \subsection{Splitting algorithm} Recursive splitting. First of all, we record the current [[pdg_list]] in the table, subject to [[constraints]], if requested. We also record copies of the list marked as loop corrections. When we record a particle list, we sort it first. If there is room for splitting, We take a PDG array list and the index of an element, and split this element in all possible ways. The split entry is inserted into the list, which we split further. The recursion terminates whenever the split array would have a length greater than $n_\text{max}$. <<Auto components: ps table: TBP>>= procedure :: split => ps_table_split <<Auto components: procedures>>= recursive subroutine ps_table_split (table, pl, n_rad, constraints, & record, do_not_check_regular) class(ps_table_t), intent(inout) :: table class(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_rad type(split_constraints_t), intent(in) :: constraints logical, intent(in), optional :: record, do_not_check_regular integer :: n_loop, i logical :: passed, save_pdg_index type(vertex_iterator_t) :: vit integer, dimension(:), allocatable :: pdg1 integer, dimension(:), allocatable :: pdg2 if (present (record)) then if (record) then n_loop = 0 INCR_LOOPS: do call table%record_sorted (pl, n_loop, n_rad, constraints, & do_not_check_regular, passed) if (.not. passed) exit INCR_LOOPS if (.not. table%loops) exit INCR_LOOPS n_loop = n_loop + 1 end do INCR_LOOPS end if end if select type (table) type is (if_table_t) save_pdg_index = .true. class default save_pdg_index = .false. end select do i = 1, pl%get_size () call constraints%check_before_split (table, pl, i, passed) if (passed) then pdg1 = pl%get (i) call vit%init (table%model, pdg1, save_pdg_index) SCAN_VERTICES: do call vit%get_next_match (pdg2) if (allocated (pdg2)) then call table%insert (pl, n_rad, i, pdg2, constraints, & do_not_check_regular = do_not_check_regular) else exit SCAN_VERTICES end if end do SCAN_VERTICES end if end do end subroutine ps_table_split @ %def ps_table_split @ The worker part: insert the list of particles found by vertex matching in place of entry [[i]] in the PDG list. Then split/record further. The [[n_in]] parameter tells the replacement routine to insert the new particles after entry [[n_in]]. Otherwise, they follow index [[i]]. <<Auto components: ps table: TBP>>= procedure :: insert => ps_table_insert <<Auto components: procedures>>= recursive subroutine ps_table_insert & (table, pl, n_rad, i, pdg, constraints, n_in, do_not_check_regular) class(ps_table_t), intent(inout) :: table class(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_rad, i integer, dimension(:), intent(in) :: pdg type(split_constraints_t), intent(in) :: constraints integer, intent(in), optional :: n_in logical, intent(in), optional :: do_not_check_regular type(pdg_list_t) :: pl_insert logical :: passed integer :: k, s s = size (pdg) call pl_insert%init (s) do k = 1, s call pl_insert%set (k, pdg(k)) end do call constraints%check_before_insert (table, pl%get (i), pl_insert, passed) if (passed) then if (.not. is_colored_isr ()) return call table%split (pl%replace (i, pl_insert, n_in), n_rad + s - 1, & constraints, record = .true., do_not_check_regular = .true.) end if contains logical function is_colored_isr () result (ok) type(pdg_list_t) :: pl_replaced ok = .true. if (present (n_in)) then if (i <= n_in) then ok = pl_insert%contains_colored_particles () if (.not. ok) then pl_replaced = pl%replace (i, pl_insert, n_in) associate (size_replaced => pl_replaced%get_pdg_sizes (), & size => pl%get_pdg_sizes ()) ok = all (size_replaced(:n_in) == size(:n_in)) end associate end if end if end if end function is_colored_isr end subroutine ps_table_insert @ %def ps_table_insert @ Special case: If we are splitting an initial particle, there is slightly more to do. We loop over the particles from the vertex match and replace the initial particle by each of them in turn. The remaining particles must be appended after the second initial particle, so they will end up in the out state. This is done by providing the [[n_in]] argument to the base method as an optional argument. Note that we must call the base-method procedure explicitly, so the [[table]] argument keeps its dynamic type as [[if_table]] inside this procedure. <<Auto components: if table: TBP>>= procedure :: insert => if_table_insert <<Auto components: procedures>>= recursive subroutine if_table_insert & (table, pl, n_rad, i, pdg, constraints, n_in, do_not_check_regular) class(if_table_t), intent(inout) :: table class(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_rad, i integer, dimension(:), intent(in) :: pdg type(split_constraints_t), intent(in) :: constraints integer, intent(in), optional :: n_in logical, intent(in), optional :: do_not_check_regular integer, dimension(:), allocatable :: pdg_work integer :: p if (i > 2) then call ps_table_insert (table, pl, n_rad, i, pdg, constraints, & do_not_check_regular = do_not_check_regular) else allocate (pdg_work (size (pdg))) do p = 1, size (pdg) pdg_work(1) = pdg(p) pdg_work(2:p) = pdg(1:p-1) pdg_work(p+1:) = pdg(p+1:) select case (table%proc_type) case (PROC_DECAY) call ps_table_insert (table, & pl, n_rad, i, pdg_work, constraints, n_in = 1, & do_not_check_regular = do_not_check_regular) case (PROC_SCATTER) call ps_table_insert (table, & pl, n_rad, i, pdg_work, constraints, n_in = 2, & do_not_check_regular = do_not_check_regular) end select end do end if end subroutine if_table_insert @ %def if_table_insert @ Sort before recording. In the case of the [[if_table]], we do not sort the first [[n_in]] particle entries. Instead, we check whether they are allowed in the [[pl_beam]] PDG list, if that is provided. <<Auto components: ps table: TBP>>= procedure :: record_sorted => ps_table_record_sorted <<Auto components: if table: TBP>>= procedure :: record_sorted => if_table_record_sorted <<Auto components: procedures>>= subroutine ps_table_record_sorted & (table, pl, n_loop, n_rad, constraints, do_not_check_regular, passed) class(ps_table_t), intent(inout) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop, n_rad type(split_constraints_t), intent(in) :: constraints logical, intent(in), optional :: do_not_check_regular logical, intent(out) :: passed call table%record (pl%sort_abs (), n_loop, n_rad, constraints, & do_not_check_regular, passed) end subroutine ps_table_record_sorted subroutine if_table_record_sorted & (table, pl, n_loop, n_rad, constraints, do_not_check_regular, passed) class(if_table_t), intent(inout) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop, n_rad type(split_constraints_t), intent(in) :: constraints logical, intent(in), optional :: do_not_check_regular logical, intent(out) :: passed call table%record (pl%sort_abs (2), n_loop, n_rad, constraints, & do_not_check_regular, passed) end subroutine if_table_record_sorted @ %def ps_table_record_sorted if_table_record_sorted @ Record an entry: insert into the list. Check the ordering and insert it at the correct place, unless it is already there. We record an array only if its mass sum is less than the total available energy. This restriction is removed by setting [[constrained]] to false. <<Auto components: ps table: TBP>>= procedure :: record => ps_table_record <<Auto components: procedures>>= subroutine ps_table_record (table, pl, n_loop, n_rad, constraints, & do_not_check_regular, passed) class(ps_table_t), intent(inout) :: table type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n_loop, n_rad type(split_constraints_t), intent(in) :: constraints logical, intent(in), optional :: do_not_check_regular logical, intent(out) :: passed type(ps_entry_t), pointer :: current logical :: needs_check passed = .false. needs_check = .true. if (present (do_not_check_regular)) needs_check = .not. do_not_check_regular if (needs_check .and. .not. pl%is_regular ()) then call msg_warning ("Record ps_table entry: Irregular pdg-list encountered!") return end if call constraints%check_before_record (table, pl, n_loop, passed) if (.not. passed) then return end if current => table%first do while (associated (current)) if (pl == current) then if (n_loop == current%n_loop) return else if (pl < current) then call insert return end if current => current%next end do call insert contains subroutine insert () type(ps_entry_t), pointer :: entry allocate (entry) entry%pdg_list_t = pl entry%n_loop = n_loop entry%n_rad = n_rad if (associated (current)) then if (associated (current%previous)) then current%previous%next => entry entry%previous => current%previous else table%first => entry end if entry%next => current current%previous => entry else if (associated (table%last)) then table%last%next => entry entry%previous => table%last else table%first => entry end if table%last => entry end if end subroutine insert end subroutine ps_table_record @ %def ps_table_record @ \subsection{Tools} Compute the mass sum for a PDG list object, counting the entries with indices between (including) [[n1]] and [[n2]]. Rely on the requirement that if an entry is a PDG array, this array must be degenerate in mass. <<Auto components: procedures>>= function mass_sum (pl, n1, n2, model) result (m) type(pdg_list_t), intent(in) :: pl integer, intent(in) :: n1, n2 class(model_data_t), intent(in), target :: model integer, dimension(:), allocatable :: pdg real(default) :: m type(field_data_t), pointer :: prt integer :: i m = 0 do i = n1, n2 pdg = pl%get (i) prt => model%get_field_ptr (pdg(1)) m = m + prt%get_mass () end do end function mass_sum @ %def mass_sum @ Invert a PDG array, replacing particles by antiparticles. This depends on the model. <<Auto components: procedures>>= function invert_pdg_array (pa, model) result (pa_inv) type(pdg_array_t), intent(in) :: pa class(model_data_t), intent(in), target :: model type(pdg_array_t) :: pa_inv type(field_data_t), pointer :: prt integer :: i, pdg pa_inv = pa do i = 1, pa_inv%get_length () pdg = pa_inv%get (i) prt => model%get_field_ptr (pdg) if (prt%has_antiparticle ()) call pa_inv%set (i, -pdg) end do end function invert_pdg_array @ %def invert_pdg_array @ \subsection{Access results} Return the number of generated decays. <<Auto components: ps table: TBP>>= procedure :: get_length => ps_table_get_length <<Auto components: procedures>>= function ps_table_get_length (ps_table) result (n) class(ps_table_t), intent(in) :: ps_table integer :: n type(ps_entry_t), pointer :: entry n = 0 entry => ps_table%first do while (associated (entry)) n = n + 1 entry => entry%next end do end function ps_table_get_length @ %def ps_table_get_length @ <<Auto components: ps table: TBP>>= procedure :: get_emitters => ps_table_get_emitters <<Auto components: procedures>>= subroutine ps_table_get_emitters (table, constraints, emitters) class(ps_table_t), intent(in) :: table type(split_constraints_t), intent(in) :: constraints integer, dimension(:), allocatable, intent(out) :: emitters class(pdg_list_t), pointer :: pl integer :: i logical :: passed type(vertex_iterator_t) :: vit integer, dimension(:), allocatable :: pdg1, pdg2 integer :: n_emitters integer, dimension(:), allocatable :: emitters_tmp integer, parameter :: buf0 = 6 n_emitters = 0 pl => table%first allocate (emitters_tmp (buf0)) do i = 1, pl%get_size () call constraints%check_before_split (table, pl, i, passed) if (passed) then pdg1 = pl%get(i) call vit%init (table%model, pdg1, .false.) do call vit%get_next_match(pdg2) if (allocated (pdg2)) then if (n_emitters + 1 > size (emitters_tmp)) & call extend_integer_array (emitters_tmp, 10) emitters_tmp (n_emitters + 1) = pdg1(1) n_emitters = n_emitters + 1 else exit end if end do end if end do allocate (emitters (n_emitters)) emitters = emitters_tmp (1:n_emitters) deallocate (emitters_tmp) end subroutine ps_table_get_emitters @ %def ps_table_get_emitters @ Return an allocated array of decay products (PDG codes). If requested, return also the loop and radiation order count. <<Auto components: ps table: TBP>>= procedure :: get_pdg_out => ps_table_get_pdg_out <<Auto components: procedures>>= subroutine ps_table_get_pdg_out (ps_table, i, pa_out, n_loop, n_rad) class(ps_table_t), intent(in) :: ps_table integer, intent(in) :: i type(pdg_array_t), dimension(:), allocatable, intent(out) :: pa_out integer, intent(out), optional :: n_loop, n_rad type(ps_entry_t), pointer :: entry integer :: n, j n = 0 entry => ps_table%first FIND_ENTRY: do while (associated (entry)) n = n + 1 if (n == i) then allocate (pa_out (entry%get_size ())) do j = 1, entry%get_size () pa_out(j) = entry%get (j) if (present (n_loop)) n_loop = entry%n_loop if (present (n_rad)) n_rad = entry%n_rad end do exit FIND_ENTRY end if entry => entry%next end do FIND_ENTRY end subroutine ps_table_get_pdg_out @ %def ps_table_get_pdg_out @ \subsection{Unit tests} Test module, followed by the corresponding implementation module. <<[[auto_components_ut.f90]]>>= <<File header>> module auto_components_ut use unit_tests use auto_components_uti <<Standard module head>> <<Auto components: public test>> contains <<Auto components: test driver>> end module auto_components_ut @ %def auto_components_ut @ <<[[auto_components_uti.f90]]>>= <<File header>> module auto_components_uti <<Use kinds>> <<Use strings>> use pdg_arrays use model_data use model_testbed, only: prepare_model, cleanup_model use auto_components <<Standard module head>> <<Auto components: test declarations>> contains <<Auto components: tests>> end module auto_components_uti @ %def auto_components_ut @ API: driver for the unit tests below. <<Auto components: public test>>= public :: auto_components_test <<Auto components: test driver>>= subroutine auto_components_test (u, results) integer, intent(in) :: u type(test_results_t), intent(inout) :: results <<Auto components: execute tests>> end subroutine auto_components_test @ %def auto_components_tests @ \subsubsection{Generate Decay Table} Determine all kinematically allowed decay channels for a Higgs boson, using default parameter values. <<Auto components: execute tests>>= call test (auto_components_1, "auto_components_1", & "generate decay table", & u, results) <<Auto components: test declarations>>= public :: auto_components_1 <<Auto components: tests>>= subroutine auto_components_1 (u) integer, intent(in) :: u class(model_data_t), pointer :: model type(field_data_t), pointer :: prt type(ds_table_t) :: ds_table type(split_constraints_t) :: constraints write (u, "(A)") "* Test output: auto_components_1" write (u, "(A)") "* Purpose: determine Higgs decay table" write (u, *) write (u, "(A)") "* Read Standard Model" model => null () call prepare_model (model, var_str ("SM")) prt => model%get_field_ptr (25) write (u, *) write (u, "(A)") "* Higgs decays n = 2" write (u, *) call constraints%init (2) call constraints%set (1, constrain_n_tot (2)) call constraints%set (2, constrain_mass_sum (prt%get_mass ())) call ds_table%make (model, 25, constraints) call ds_table%write (u) call ds_table%final () write (u, *) write (u, "(A)") "* Higgs decays n = 3 (w/o radiative)" write (u, *) call constraints%init (3) call constraints%set (1, constrain_n_tot (3)) call constraints%set (2, constrain_mass_sum (prt%get_mass ())) call constraints%set (3, constrain_radiation ()) call ds_table%make (model, 25, constraints) call ds_table%write (u) call ds_table%final () write (u, *) write (u, "(A)") "* Higgs decays n = 3 (w/ radiative)" write (u, *) call constraints%init (2) call constraints%set (1, constrain_n_tot (3)) call constraints%set (2, constrain_mass_sum (prt%get_mass ())) call ds_table%make (model, 25, constraints) call ds_table%write (u) call ds_table%final () write (u, *) write (u, "(A)") "* Cleanup" call cleanup_model (model) deallocate (model) write (u, *) write (u, "(A)") "* Test output end: auto_components_1" end subroutine auto_components_1 @ %def auto_components_1 @ \subsubsection{Generate radiation} Given a final state, add radiation (NLO and NNLO). We provide a list of particles that is allowed to occur in the generated final states. <<Auto components: execute tests>>= call test (auto_components_2, "auto_components_2", & "generate NLO corrections, final state", & u, results) <<Auto components: test declarations>>= public :: auto_components_2 <<Auto components: tests>>= subroutine auto_components_2 (u) integer, intent(in) :: u class(model_data_t), pointer :: model type(pdg_list_t), dimension(:), allocatable :: pl, pl_zzh type(pdg_list_t) :: pl_match type(fs_table_t) :: fs_table type(split_constraints_t) :: constraints real(default) :: sqrts integer :: i write (u, "(A)") "* Test output: auto_components_2" write (u, "(A)") "* Purpose: generate radiation (NLO)" write (u, *) write (u, "(A)") "* Read Standard Model" model => null () call prepare_model (model, var_str ("SM")) write (u, *) write (u, "(A)") "* LO final state" write (u, *) allocate (pl (2)) call pl(1)%init (2) call pl(1)%set (1, 1) call pl(1)%set (2, -1) call pl(2)%init (2) call pl(2)%set (1, 21) call pl(2)%set (2, 21) do i = 1, 2 call pl(i)%write (u); write (u, *) end do write (u, *) write (u, "(A)") "* Initialize FS table" write (u, *) call constraints%init (1) call constraints%set (1, constrain_n_tot (3)) call fs_table%init (model, pl, constraints) call fs_table%write (u) write (u, *) write (u, "(A)") "* Generate NLO corrections, unconstrained" write (u, *) call fs_table%radiate (constraints) call fs_table%write (u) call fs_table%final () write (u, *) write (u, "(A)") "* Generate NLO corrections, & &complete but mass-constrained" write (u, *) sqrts = 50 call constraints%init (2) call constraints%set (1, constrain_n_tot (3)) call constraints%set (2, constrain_mass_sum (sqrts)) call fs_table%init (model, pl, constraints) call fs_table%radiate (constraints) call fs_table%write (u) call fs_table%final () write (u, *) write (u, "(A)") "* Generate NLO corrections, restricted" write (u, *) call pl_match%init ([1, -1, 21]) call constraints%init (2) call constraints%set (1, constrain_n_tot (3)) call constraints%set (2, constrain_insert (pl_match)) call fs_table%init (model, pl, constraints) call fs_table%radiate (constraints) call fs_table%write (u) call fs_table%final () write (u, *) write (u, "(A)") "* Generate NNLO corrections, restricted, with one loop" write (u, *) call pl_match%init ([1, -1, 21]) call constraints%init (3) call constraints%set (1, constrain_n_tot (4)) call constraints%set (2, constrain_n_loop (1)) call constraints%set (3, constrain_insert (pl_match)) call fs_table%init (model, pl, constraints) call fs_table%enable_loops () call fs_table%radiate (constraints) call fs_table%write (u) call fs_table%final () write (u, *) write (u, "(A)") "* Generate NNLO corrections, restricted, with loops" write (u, *) call constraints%init (2) call constraints%set (1, constrain_n_tot (4)) call constraints%set (2, constrain_insert (pl_match)) call fs_table%init (model, pl, constraints) call fs_table%enable_loops () call fs_table%radiate (constraints) call fs_table%write (u) call fs_table%final () write (u, *) write (u, "(A)") "* Generate NNLO corrections, restricted, to Z Z H, & &no loops" write (u, *) allocate (pl_zzh (1)) call pl_zzh(1)%init (3) call pl_zzh(1)%set (1, 23) call pl_zzh(1)%set (2, 23) call pl_zzh(1)%set (3, 25) call constraints%init (3) call constraints%set (1, constrain_n_tot (5)) call constraints%set (2, constrain_mass_sum (500._default)) call constraints%set (3, constrain_require (pl_zzh(1))) call fs_table%init (model, pl_zzh, constraints) call fs_table%radiate (constraints) call fs_table%write (u) call fs_table%final () call cleanup_model (model) deallocate (model) write (u, *) write (u, "(A)") "* Test output end: auto_components_2" end subroutine auto_components_2 @ %def auto_components_2 @ \subsubsection{Generate radiation from initial and final state} Given a process, add radiation (NLO and NNLO). We provide a list of particles that is allowed to occur in the generated final states. <<Auto components: execute tests>>= call test (auto_components_3, "auto_components_3", & "generate NLO corrections, in and out", & u, results) <<Auto components: test declarations>>= public :: auto_components_3 <<Auto components: tests>>= subroutine auto_components_3 (u) integer, intent(in) :: u class(model_data_t), pointer :: model type(pdg_list_t), dimension(:), allocatable :: pl_in, pl_out type(pdg_list_t) :: pl_match, pl_beam type(if_table_t) :: if_table type(split_constraints_t) :: constraints real(default) :: sqrts integer :: i write (u, "(A)") "* Test output: auto_components_3" write (u, "(A)") "* Purpose: generate radiation (NLO)" write (u, *) write (u, "(A)") "* Read Standard Model" model => null () call prepare_model (model, var_str ("SM")) write (u, *) write (u, "(A)") "* LO initial state" write (u, *) allocate (pl_in (2)) call pl_in(1)%init (2) call pl_in(1)%set (1, 1) call pl_in(1)%set (2, -1) call pl_in(2)%init (2) call pl_in(2)%set (1, -1) call pl_in(2)%set (2, 1) do i = 1, 2 call pl_in(i)%write (u); write (u, *) end do write (u, *) write (u, "(A)") "* LO final state" write (u, *) allocate (pl_out (1)) call pl_out(1)%init (1) call pl_out(1)%set (1, 23) call pl_out(1)%write (u); write (u, *) write (u, *) write (u, "(A)") "* Initialize FS table" write (u, *) call constraints%init (1) call constraints%set (1, constrain_n_tot (4)) call if_table%init (model, pl_in, pl_out, constraints) call if_table%write (u) write (u, *) write (u, "(A)") "* Generate NLO corrections, unconstrained" write (u, *) call if_table%radiate (constraints) call if_table%write (u) call if_table%final () write (u, *) write (u, "(A)") "* Generate NLO corrections, & &complete but mass-constrained" write (u, *) sqrts = 100 call constraints%init (2) call constraints%set (1, constrain_n_tot (4)) call constraints%set (2, constrain_mass_sum (sqrts)) call if_table%init (model, pl_in, pl_out, constraints) call if_table%radiate (constraints) call if_table%write (u) call if_table%final () write (u, *) write (u, "(A)") "* Generate NLO corrections, & &mass-constrained, restricted beams" write (u, *) call pl_beam%init (3) call pl_beam%set (1, 1) call pl_beam%set (2, -1) call pl_beam%set (3, 21) call constraints%init (3) call constraints%set (1, constrain_n_tot (4)) call constraints%set (2, constrain_in_state (pl_beam)) call constraints%set (3, constrain_mass_sum (sqrts)) call if_table%init (model, pl_in, pl_out, constraints) call if_table%radiate (constraints) call if_table%write (u) call if_table%final () write (u, *) write (u, "(A)") "* Generate NLO corrections, restricted" write (u, *) call pl_match%init ([1, -1, 21]) call constraints%init (4) call constraints%set (1, constrain_n_tot (4)) call constraints%set (2, constrain_in_state (pl_beam)) call constraints%set (3, constrain_mass_sum (sqrts)) call constraints%set (4, constrain_insert (pl_match)) call if_table%init (model, pl_in, pl_out, constraints) call if_table%radiate (constraints) call if_table%write (u) call if_table%final () write (u, *) write (u, "(A)") "* Generate NNLO corrections, restricted, Z preserved, & &with loops" write (u, *) call constraints%init (5) call constraints%set (1, constrain_n_tot (5)) call constraints%set (2, constrain_in_state (pl_beam)) call constraints%set (3, constrain_mass_sum (sqrts)) call constraints%set (4, constrain_insert (pl_match)) call constraints%set (5, constrain_require (pl_out(1))) call if_table%init (model, pl_in, pl_out, constraints) call if_table%enable_loops () call if_table%radiate (constraints) call if_table%write (u) call if_table%final () call cleanup_model (model) deallocate (model) write (u, *) write (u, "(A)") "* Test output end: auto_components_3" end subroutine auto_components_3 @ %def auto_components_3 @ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Creating the real flavor structure} <<[[radiation_generator.f90]]>>= <<File header>> module radiation_generator <<Use kinds>> <<Use strings>> use diagnostics use io_units use physics_defs, only: PHOTON, GLUON use pdg_arrays use flavors use model_data use auto_components use string_utils, only: split_string, string_contains_word implicit none private <<radiation generator: public>> <<radiation generator: types>> contains <<radiation generator: procedures>> end module radiation_generator @ %def radiation_generator @ <<radiation generator: types>>= type :: pdg_sorter_t integer :: pdg logical :: checked = .false. integer :: associated_born = 0 end type pdg_sorter_t @ %def pdg_sorter @ <<radiation generator: types>>= type :: pdg_states_t type(pdg_array_t), dimension(:), allocatable :: pdg type(pdg_states_t), pointer :: next integer :: n_particles contains <<radiation generator: pdg states: TBP>> end type pdg_states_t @ %def pdg_states_t <<radiation generator: pdg states: TBP>>= procedure :: init => pdg_states_init <<radiation generator: procedures>>= subroutine pdg_states_init (states) class(pdg_states_t), intent(inout) :: states nullify (states%next) end subroutine pdg_states_init @ %def pdg_states_init @ <<radiation generator: pdg states: TBP>>= procedure :: add => pdg_states_add <<radiation generator: procedures>>= subroutine pdg_states_add (states, pdg) class(pdg_states_t), intent(inout), target :: states type(pdg_array_t), dimension(:), intent(in) :: pdg type(pdg_states_t), pointer :: current_state select type (states) type is (pdg_states_t) current_state => states do if (associated (current_state%next)) then current_state => current_state%next else allocate (current_state%next) nullify(current_state%next%next) current_state%pdg = pdg exit end if end do end select end subroutine pdg_states_add @ %def pdg_states_add @ <<radiation generator: pdg states: TBP>>= procedure :: get_n_states => pdg_states_get_n_states <<radiation generator: procedures>>= function pdg_states_get_n_states (states) result (n) class(pdg_states_t), intent(in), target :: states integer :: n type(pdg_states_t), pointer :: current_state n = 0 select type(states) type is (pdg_states_t) current_state => states do if (associated (current_state%next)) then n = n+1 current_state => current_state%next else exit end if end do end select end function pdg_states_get_n_states @ %def pdg_states_get_n_states @ <<radiation generator: types>>= type :: prt_queue_t type(string_t), dimension(:), allocatable :: prt_string type(prt_queue_t), pointer :: next => null () type(prt_queue_t), pointer :: previous => null () type(prt_queue_t), pointer :: front => null () type(prt_queue_t), pointer :: current_prt => null () type(prt_queue_t), pointer :: back => null () integer :: n_lists = 0 contains <<radiation generator: prt queue: TBP>> end type prt_queue_t @ %def prt_queue_t @ <<radiation generator: prt queue: TBP>>= procedure :: null => prt_queue_null <<radiation generator: procedures>>= subroutine prt_queue_null (queue) class(prt_queue_t), intent(out) :: queue queue%next => null () queue%previous => null () queue%front => null () queue%current_prt => null () queue%back => null () queue%n_lists = 0 if (allocated (queue%prt_string)) deallocate (queue%prt_string) end subroutine prt_queue_null @ %def prt_queue_null @ <<radiation generator: prt queue: TBP>>= procedure :: append => prt_queue_append <<radiation generator: procedures>>= subroutine prt_queue_append (queue, prt_string) class(prt_queue_t), intent(inout) :: queue type(string_t), intent(in), dimension(:) :: prt_string type(prt_queue_t), pointer :: new_element => null () type(prt_queue_t), pointer :: current_back => null () allocate (new_element) allocate (new_element%prt_string(size (prt_string))) new_element%prt_string = prt_string if (associated (queue%back)) then current_back => queue%back current_back%next => new_element new_element%previous => current_back queue%back => new_element else !!! Initial entry queue%front => new_element queue%back => queue%front queue%current_prt => queue%front end if queue%n_lists = queue%n_lists + 1 end subroutine prt_queue_append @ %def prt_queue_append @ <<radiation generator: prt queue: TBP>>= procedure :: get => prt_queue_get <<radiation generator: procedures>>= subroutine prt_queue_get (queue, prt_string) class(prt_queue_t), intent(inout) :: queue type(string_t), dimension(:), allocatable, intent(out) :: prt_string if (associated (queue%current_prt)) then prt_string = queue%current_prt%prt_string if (associated (queue%current_prt%next)) & queue%current_prt => queue%current_prt%next else prt_string = " " end if end subroutine prt_queue_get @ %def prt_queue_get @ As above. <<radiation generator: prt queue: TBP>>= procedure :: get_last => prt_queue_get_last <<radiation generator: procedures>>= subroutine prt_queue_get_last (queue, prt_string) class(prt_queue_t), intent(in) :: queue type(string_t), dimension(:), allocatable, intent(out) :: prt_string if (associated (queue%back)) then allocate (prt_string(size (queue%back%prt_string))) prt_string = queue%back%prt_string else prt_string = " " end if end subroutine prt_queue_get_last @ %def prt_queue_get_last @ <<radiation generator: prt queue: TBP>>= procedure :: reset => prt_queue_reset <<radiation generator: procedures>>= subroutine prt_queue_reset (queue) class(prt_queue_t), intent(inout) :: queue queue%current_prt => queue%front end subroutine prt_queue_reset @ %def prt_queue_reset @ <<radiation generator: prt queue: TBP>>= procedure :: check_for_same_prt_strings => prt_queue_check_for_same_prt_strings <<radiation generator: procedures>>= function prt_queue_check_for_same_prt_strings (queue) result (val) class(prt_queue_t), intent(inout) :: queue logical :: val type(string_t), dimension(:), allocatable :: prt_string integer, dimension(:,:), allocatable :: i_particle integer :: n_d, n_dbar, n_u, n_ubar, n_s, n_sbar, n_gl, n_e, n_ep, n_mu, n_mup, n_A integer :: i, j call queue%reset () allocate (i_particle (queue%n_lists, 12)) do i = 1, queue%n_lists call queue%get (prt_string) n_d = count_particle (prt_string, 1) n_dbar = count_particle (prt_string, -1) n_u = count_particle (prt_string, 2) n_ubar = count_particle (prt_string, -2) n_s = count_particle (prt_string, 3) n_sbar = count_particle (prt_string, -3) n_gl = count_particle (prt_string, 21) n_e = count_particle (prt_string, 11) n_ep = count_particle (prt_string, -11) n_mu = count_particle (prt_string, 13) n_mup = count_particle (prt_string, -13) n_A = count_particle (prt_string, 22) i_particle (i, 1) = n_d i_particle (i, 2) = n_dbar i_particle (i, 3) = n_u i_particle (i, 4) = n_ubar i_particle (i, 5) = n_s i_particle (i, 6) = n_sbar i_particle (i, 7) = n_gl i_particle (i, 8) = n_e i_particle (i, 9) = n_ep i_particle (i, 10) = n_mu i_particle (i, 11) = n_mup i_particle (i, 12) = n_A end do val = .false. do i = 1, queue%n_lists do j = 1, queue%n_lists if (i == j) cycle val = val .or. all (i_particle (i,:) == i_particle(j,:)) end do end do contains function count_particle (prt_string, pdg) result (n) type(string_t), dimension(:), intent(in) :: prt_string integer, intent(in) :: pdg integer :: n integer :: i type(string_t) :: prt_ref n = 0 select case (pdg) case (1) prt_ref = "d" case (-1) prt_ref = "dbar" case (2) prt_ref = "u" case (-2) prt_ref = "ubar" case (3) prt_ref = "s" case (-3) prt_ref = "sbar" case (21) prt_ref = "gl" case (11) prt_ref = "e-" case (-11) prt_ref = "e+" case (13) prt_ref = "mu-" case (-13) prt_ref = "mu+" case (22) prt_ref = "A" end select do i = 1, size (prt_string) if (prt_string(i) == prt_ref) n = n+1 end do end function count_particle end function prt_queue_check_for_same_prt_strings @ %def prt_queue_check_for_same_prt_strings @ <<radiation generator: prt queue: TBP>>= procedure :: contains => prt_queue_contains <<radiation generator: procedures>>= function prt_queue_contains (queue, prt_string) result (val) class(prt_queue_t), intent(in) :: queue type(string_t), intent(in), dimension(:) :: prt_string logical :: val type(prt_queue_t), pointer :: current => null() if (associated (queue%front)) then current => queue%front else call msg_fatal ("Trying to access empty particle queue") end if val = .false. do if (size (current%prt_string) == size (prt_string)) then if (all (current%prt_string == prt_string)) then val = .true. exit end if end if if (associated (current%next)) then current => current%next else exit end if end do end function prt_queue_contains @ %def prt_string_list_contains @ <<radiation generator: prt queue: TBP>>= procedure :: write => prt_queue_write <<radiation generator: procedures>>= subroutine prt_queue_write (queue, unit) class(prt_queue_t), intent(in) :: queue integer, optional :: unit type(prt_queue_t), pointer :: current => null () integer :: i, j, u u = given_output_unit (unit) if (associated (queue%front)) then current => queue%front else write (u, "(A)") "[Particle queue is empty]" return end if j = 1 do write (u, "(I2,A,1X)", advance = 'no') j , ":" do i = 1, size (current%prt_string) write (u, "(A,1X)", advance = 'no') char (current%prt_string(i)) end do write (u, "(A)") if (associated (current%next)) then current => current%next j = j+1 else exit end if end do end subroutine prt_queue_write @ %def prt_queue_write @ <<radiation generator: procedures>>= subroutine sort_prt (prt, model) type(string_t), dimension(:), intent(inout) :: prt class(model_data_t), intent(in), target :: model type(pdg_array_t), dimension(:), allocatable :: pdg type(flavor_t) :: flv integer :: i call create_pdg_array (prt, model, pdg) call sort_pdg (pdg) do i = 1, size (pdg) call flv%init (pdg(i)%get(), model) prt(i) = flv%get_name () end do end subroutine sort_prt subroutine sort_pdg (pdg) type(pdg_array_t), dimension(:), intent(inout) :: pdg integer, dimension(:), allocatable :: i_pdg integer :: i allocate (i_pdg (size (pdg))) do i = 1, size (pdg) i_pdg(i) = pdg(i)%get () end do i_pdg = sort_abs (i_pdg) do i = 1, size (pdg) call pdg(i)%set (1, i_pdg(i)) end do end subroutine sort_pdg subroutine create_pdg_array (prt, model, pdg) type (string_t), dimension(:), intent(in) :: prt class (model_data_t), intent(in), target :: model type(pdg_array_t), dimension(:), allocatable, intent(out) :: pdg type(flavor_t) :: flv integer :: i allocate (pdg (size (prt))) do i = 1, size (prt) call flv%init (prt(i), model) pdg(i) = flv%get_pdg () end do end subroutine create_pdg_array @ %def sort_prt sort_pdg create_pdg_array @ This is used in unit tests: <<radiation generator: test auxiliary>>= subroutine write_pdg_array (pdg, u) use pdg_arrays type(pdg_array_t), dimension(:), intent(in) :: pdg integer, intent(in) :: u integer :: i do i = 1, size (pdg) call pdg(i)%write (u) end do write (u, "(A)") end subroutine write_pdg_array subroutine write_particle_string (prt, u) <<Use strings>> type(string_t), dimension(:), intent(in) :: prt integer, intent(in) :: u integer :: i do i = 1, size (prt) write (u, "(A,1X)", advance = "no") char (prt(i)) end do write (u, "(A)") end subroutine write_particle_string @ %def write_pdg_array write_particle_string <<radiation generator: types>>= type :: reshuffle_list_t integer, dimension(:), allocatable :: ii type(reshuffle_list_t), pointer :: next => null () contains <<radiation generator: reshuffle list: TBP>> end type reshuffle_list_t @ %def reshuffle_list_t @ <<radiation generator: reshuffle list: TBP>>= procedure :: write => reshuffle_list_write <<radiation generator: procedures>>= subroutine reshuffle_list_write (rlist) class(reshuffle_list_t), intent(in) :: rlist type(reshuffle_list_t), pointer :: current => null () integer :: i print *, 'Content of reshuffling list: ' if (associated (rlist%next)) then current => rlist%next i = 1 do print *, 'i: ', i, 'list: ', current%ii i = i + 1 if (associated (current%next)) then current => current%next else exit end if end do else print *, '[EMPTY]' end if end subroutine reshuffle_list_write @ %def reshuffle_list_write @ <<radiation generator: reshuffle list: TBP>>= procedure :: append => reshuffle_list_append <<radiation generator: procedures>>= subroutine reshuffle_list_append (rlist, ii) class(reshuffle_list_t), intent(inout) :: rlist integer, dimension(:), allocatable, intent(in) :: ii type(reshuffle_list_t), pointer :: current if (associated (rlist%next)) then current => rlist%next do if (associated (current%next)) then current => current%next else allocate (current%next) allocate (current%next%ii (size (ii))) current%next%ii = ii exit end if end do else allocate (rlist%next) allocate (rlist%next%ii (size (ii))) rlist%next%ii = ii end if end subroutine reshuffle_list_append @ %def reshuffle_list_append @ <<radiation generator: reshuffle list: TBP>>= procedure :: is_empty => reshuffle_list_is_empty <<radiation generator: procedures>>= elemental function reshuffle_list_is_empty (rlist) result (is_empty) logical :: is_empty class(reshuffle_list_t), intent(in) :: rlist is_empty = .not. associated (rlist%next) end function reshuffle_list_is_empty @ %def reshuffle_list_is_empty @ <<radiation generator: reshuffle list: TBP>>= procedure :: get => reshuffle_list_get <<radiation generator: procedures>>= function reshuffle_list_get (rlist, index) result (ii) integer, dimension(:), allocatable :: ii class(reshuffle_list_t), intent(inout) :: rlist integer, intent(in) :: index type(reshuffle_list_t), pointer :: current => null () integer :: i current => rlist%next do i = 1, index - 1 if (associated (current%next)) then current => current%next else call msg_fatal ("Index exceeds size of reshuffling list") end if end do allocate (ii (size (current%ii))) ii = current%ii end function reshuffle_list_get @ %def reshuffle_list_get @ We need to reset the [[reshuffle_list]] in order to deal with subsequent usages of the [[radiation_generator]]. Below is obviously the lazy and dirty solution. Otherwise, we would have to equip this auxiliary type with additional information about [[last]] and [[previous]] pointers. Considering that at most $n_{\rm{legs}}$ integers are saved in the lists, and that the subroutine is only called during the initialization phase (more precisely: at the moment only in the [[radiation_generator]] unit tests), I think this quick fix is justified. <<radiation generator: reshuffle list: TBP>>= procedure :: reset => reshuffle_list_reset <<radiation generator: procedures>>= subroutine reshuffle_list_reset (rlist) class(reshuffle_list_t), intent(inout) :: rlist rlist%next => null () end subroutine reshuffle_list_reset @ %def reshuffle_list_reset @ <<radiation generator: public>>= public :: radiation_generator_t <<radiation generator: types>>= type :: radiation_generator_t logical :: qcd_enabled = .false. logical :: qed_enabled = .false. logical :: is_gluon = .false. logical :: fs_gluon = .false. logical :: is_photon = .false. logical :: fs_photon = .false. logical :: only_final_state = .true. type(pdg_list_t) :: pl_in, pl_out type(pdg_list_t) :: pl_excluded_gauge_splittings type(split_constraints_t) :: constraints integer :: n_tot integer :: n_in, n_out integer :: n_loops integer :: n_light_quarks real(default) :: mass_sum type(prt_queue_t) :: prt_queue type(pdg_states_t) :: pdg_raw type(pdg_array_t), dimension(:), allocatable :: pdg_in_born, pdg_out_born type(if_table_t) :: if_table type(reshuffle_list_t) :: reshuffle_list contains <<radiation generator: radiation generator: TBP>> end type radiation_generator_t @ @ %def radiation_generator_t <<radiation generator: radiation generator: TBP>>= generic :: init => init_pdg_list, init_pdg_array procedure :: init_pdg_list => radiation_generator_init_pdg_list procedure :: init_pdg_array => radiation_generator_init_pdg_array <<radiation generator: procedures>>= subroutine radiation_generator_init_pdg_list & (generator, pl_in, pl_out, pl_excluded_gauge_splittings, qcd, qed) class(radiation_generator_t), intent(inout) :: generator type(pdg_list_t), intent(in) :: pl_in, pl_out type(pdg_list_t), intent(in) :: pl_excluded_gauge_splittings logical, intent(in), optional :: qcd, qed if (present (qcd)) generator%qcd_enabled = qcd if (present (qed)) generator%qed_enabled = qed generator%pl_in = pl_in generator%pl_out = pl_out generator%pl_excluded_gauge_splittings = pl_excluded_gauge_splittings generator%is_gluon = pl_in%search_for_particle (GLUON) generator%fs_gluon = pl_out%search_for_particle (GLUON) generator%is_photon = pl_in%search_for_particle (PHOTON) generator%fs_photon = pl_out%search_for_particle (PHOTON) generator%mass_sum = 0._default call generator%pdg_raw%init () end subroutine radiation_generator_init_pdg_list subroutine radiation_generator_init_pdg_array & (generator, pdg_in, pdg_out, pdg_excluded_gauge_splittings, qcd, qed) class(radiation_generator_t), intent(inout) :: generator type(pdg_array_t), intent(in), dimension(:) :: pdg_in, pdg_out type(pdg_array_t), intent(in), dimension(:) :: pdg_excluded_gauge_splittings logical, intent(in), optional :: qcd, qed type(pdg_list_t) :: pl_in, pl_out type(pdg_list_t) :: pl_excluded_gauge_splittings integer :: i call pl_in%init(size (pdg_in)) call pl_out%init(size (pdg_out)) do i = 1, size (pdg_in) call pl_in%set (i, pdg_in(i)) end do do i = 1, size (pdg_out) call pl_out%set (i, pdg_out(i)) end do call pl_excluded_gauge_splittings%init(size (pdg_excluded_gauge_splittings)) do i = 1, size (pdg_excluded_gauge_splittings) call pl_excluded_gauge_splittings%set & (i, pdg_excluded_gauge_splittings(i)) end do call generator%init (pl_in, pl_out, pl_excluded_gauge_splittings, qcd, qed) end subroutine radiation_generator_init_pdg_array @ %def radiation_generator_init_pdg_list radiation_generator_init_pdg_array @ <<radiation generator: radiation generator: TBP>>= procedure :: set_initial_state_emissions => & radiation_generator_set_initial_state_emissions <<radiation generator: procedures>>= subroutine radiation_generator_set_initial_state_emissions (generator) class(radiation_generator_t), intent(inout) :: generator generator%only_final_state = .false. end subroutine radiation_generator_set_initial_state_emissions @ %def radiation_generator_set_initial_state_emissions @ <<radiation generator: radiation generator: TBP>>= procedure :: setup_if_table => radiation_generator_setup_if_table <<radiation generator: procedures>>= subroutine radiation_generator_setup_if_table (generator, model) class(radiation_generator_t), intent(inout) :: generator class(model_data_t), intent(in), target :: model type(pdg_list_t), dimension(:), allocatable :: pl_in, pl_out allocate (pl_in(1), pl_out(1)) pl_in(1) = generator%pl_in pl_out(1) = generator%pl_out call generator%if_table%init & (model, pl_in, pl_out, generator%constraints) end subroutine radiation_generator_setup_if_table @ %def radiation_generator_setup_if_table @ <<radiation generator: radiation generator: TBP>>= generic :: reset_particle_content => reset_particle_content_pdg_array, & reset_particle_content_pdg_list procedure :: reset_particle_content_pdg_list => & radiation_generator_reset_particle_content_pdg_list procedure :: reset_particle_content_pdg_array => & radiation_generator_reset_particle_content_pdg_array <<radiation generator: procedures>>= subroutine radiation_generator_reset_particle_content_pdg_list (generator, pl) class(radiation_generator_t), intent(inout) :: generator type(pdg_list_t), intent(in) :: pl generator%pl_out = pl generator%fs_gluon = pl%search_for_particle (GLUON) generator%fs_photon = pl%search_for_particle (PHOTON) end subroutine radiation_generator_reset_particle_content_pdg_list subroutine radiation_generator_reset_particle_content_pdg_array (generator, pdg) class(radiation_generator_t), intent(inout) :: generator type(pdg_array_t), intent(in), dimension(:) :: pdg type(pdg_list_t) :: pl integer :: i call pl%init (size (pdg)) do i = 1, size (pdg) call pl%set (i, pdg(i)) end do call generator%reset_particle_content (pl) end subroutine radiation_generator_reset_particle_content_pdg_array @ %def radiation_generator_reset_particle_content @ <<radiation generator: radiation generator: TBP>>= procedure :: reset_reshuffle_list=> radiation_generator_reset_reshuffle_list <<radiation generator: procedures>>= subroutine radiation_generator_reset_reshuffle_list (generator) class(radiation_generator_t), intent(inout) :: generator call generator%reshuffle_list%reset () end subroutine radiation_generator_reset_reshuffle_list @ %def radiation_generator_reset_reshuffle_list @ <<radiation generator: radiation generator: TBP>>= procedure :: set_n => radiation_generator_set_n <<radiation generator: procedures>>= subroutine radiation_generator_set_n (generator, n_in, n_out, n_loops) class(radiation_generator_t), intent(inout) :: generator integer, intent(in) :: n_in, n_out, n_loops generator%n_tot = n_in + n_out + 1 generator%n_in = n_in generator%n_out = n_out generator%n_loops = n_loops end subroutine radiation_generator_set_n @ %def radiation_generator_set_n @ <<radiation generator: radiation generator: TBP>>= procedure :: set_constraints => radiation_generator_set_constraints <<radiation generator: procedures>>= subroutine radiation_generator_set_constraints & (generator, set_n_loop, set_mass_sum, & set_selected_particles, set_required_particles) class(radiation_generator_t), intent(inout), target :: generator logical, intent(in) :: set_n_loop logical, intent(in) :: set_mass_sum logical, intent(in) :: set_selected_particles logical, intent(in) :: set_required_particles logical :: set_no_photon_induced = .true. integer :: i, j, n, n_constraints type(pdg_list_t) :: pl_req, pl_insert type(pdg_list_t) :: pl_antiparticles type(pdg_array_t) :: pdg_gluon, pdg_photon type(pdg_array_t) :: pdg_add, pdg_tmp integer :: last_index integer :: n_new_particles, n_skip integer, dimension(:), allocatable :: i_skip integer :: n_nlo_correction_types n_nlo_correction_types = count ([generator%qcd_enabled, generator%qed_enabled]) if (generator%is_photon) set_no_photon_induced = .false. allocate (i_skip (generator%n_tot)) i_skip = -1 n_constraints = 2 + count([set_n_loop, set_mass_sum, & set_selected_particles, set_required_particles, set_no_photon_induced]) associate (constraints => generator%constraints) n = 1 call constraints%init (n_constraints) call constraints%set (n, constrain_n_tot (generator%n_tot)) n = 2 call constraints%set (n, constrain_couplings (generator%qcd_enabled, & generator%qed_enabled, n_nlo_correction_types)) n = n + 1 if (set_no_photon_induced) then call constraints%set (n, constrain_photon_induced_processes (generator%n_in)) n = n + 1 end if if (set_n_loop) then call constraints%set (n, constrain_n_loop(generator%n_loops)) n = n + 1 end if if (set_mass_sum) then call constraints%set (n, constrain_mass_sum(generator%mass_sum)) n = n + 1 end if if (set_required_particles) then if (generator%fs_gluon .or. generator%fs_photon) then do i = 1, generator%n_out pdg_tmp = generator%pl_out%get(i) if (pdg_tmp%search_for_particle (GLUON) & .or. pdg_tmp%search_for_particle (PHOTON)) then i_skip(i) = i end if end do n_skip = count (i_skip > 0) call pl_req%init (generator%n_out-n_skip) else call pl_req%init (generator%n_out) end if j = 1 do i = 1, generator%n_out if (any (i == i_skip)) cycle call pl_req%set (j, generator%pl_out%get(i)) j = j + 1 end do call constraints%set (n, constrain_require (pl_req)) n = n + 1 end if if (set_selected_particles) then if (generator%only_final_state ) then call pl_insert%init (generator%n_out + n_nlo_correction_types) do i = 1, generator%n_out call pl_insert%set(i, generator%pl_out%get(i)) end do last_index = generator%n_out + 1 else call generator%pl_in%create_antiparticles (pl_antiparticles, n_new_particles) call pl_insert%init (generator%n_tot + n_new_particles & + n_nlo_correction_types) do i = 1, generator%n_in call pl_insert%set(i, generator%pl_in%get(i)) end do do i = 1, generator%n_out j = i + generator%n_in call pl_insert%set(j, generator%pl_out%get(i)) end do do i = 1, n_new_particles j = i + generator%n_in + generator%n_out call pl_insert%set(j, pl_antiparticles%get(i)) end do last_index = generator%n_tot + n_new_particles + 1 end if pdg_gluon = GLUON; pdg_photon = PHOTON if (generator%qcd_enabled) then pdg_add = pdg_gluon call pl_insert%set (last_index, pdg_add) last_index = last_index + 1 end if if (generator%qed_enabled) then pdg_add = pdg_photon call pl_insert%set (last_index, pdg_add) end if call constraints%set (n, constrain_splittings (pl_insert, & generator%pl_excluded_gauge_splittings)) end if end associate end subroutine radiation_generator_set_constraints @ %def radiation_generator_set_constraints @ <<radiation generator: radiation generator: TBP>>= procedure :: find_splittings => radiation_generator_find_splittings <<radiation generator: procedures>>= subroutine radiation_generator_find_splittings (generator) class(radiation_generator_t), intent(inout) :: generator integer :: i type(pdg_array_t), dimension(:), allocatable :: pdg_in, pdg_out, pdg_tmp integer, dimension(:), allocatable :: reshuffle_list call generator%pl_in%create_pdg_array (pdg_in) call generator%pl_out%create_pdg_array (pdg_out) associate (if_table => generator%if_table) call if_table%radiate (generator%constraints, do_not_check_regular = .true.) do i = 1, if_table%get_length () call if_table%get_pdg_out (i, pdg_tmp) if (size (pdg_tmp) == generator%n_tot) then call pdg_reshuffle (pdg_out, pdg_tmp, reshuffle_list) call generator%reshuffle_list%append (reshuffle_list) end if end do end associate contains subroutine pdg_reshuffle (pdg_born, pdg_real, list) type(pdg_array_t), intent(in), dimension(:) :: pdg_born, pdg_real integer, intent(out), dimension(:), allocatable :: list type(pdg_sorter_t), dimension(:), allocatable :: sort_born type(pdg_sorter_t), dimension(:), allocatable :: sort_real integer :: i_min, n_in, n_born, n_real integer :: ib, ir n_in = generator%n_in n_born = size (pdg_born) n_real = size (pdg_real) allocate (list (n_real - n_in)) allocate (sort_born (n_born)) allocate (sort_real (n_real - n_in)) sort_born%pdg = pdg_born%get () sort_real%pdg = pdg_real(n_in + 1 : n_real)%get() do ib = 1, n_born if (any (sort_born(ib)%pdg == sort_real%pdg)) & call associate_born_indices (sort_born(ib), sort_real, ib, n_real) end do i_min = maxval (sort_real%associated_born) + 1 do ir = 1, n_real - n_in if (sort_real(ir)%associated_born == 0) then sort_real(ir)%associated_born = i_min i_min = i_min + 1 end if end do list = sort_real%associated_born end subroutine pdg_reshuffle subroutine associate_born_indices (sort_born, sort_real, ib, n_real) type(pdg_sorter_t), intent(in) :: sort_born type(pdg_sorter_t), intent(inout), dimension(:) :: sort_real integer, intent(in) :: ib, n_real integer :: ir do ir = 1, n_real - generator%n_in if (sort_born%pdg == sort_real(ir)%pdg & .and..not. sort_real(ir)%checked) then sort_real(ir)%associated_born = ib sort_real(ir)%checked = .true. exit end if end do end subroutine associate_born_indices end subroutine radiation_generator_find_splittings @ %def radiation_generator_find_splittings @ <<radiation generator: radiation generator: TBP>>= procedure :: generate_real_particle_strings & => radiation_generator_generate_real_particle_strings <<radiation generator: procedures>>= subroutine radiation_generator_generate_real_particle_strings & (generator, prt_tot_in, prt_tot_out) type :: prt_array_t type(string_t), dimension(:), allocatable :: prt end type class(radiation_generator_t), intent(inout) :: generator type(string_t), intent(out), dimension(:), allocatable :: prt_tot_in, prt_tot_out type(prt_array_t), dimension(:), allocatable :: prt_in, prt_out type(prt_array_t), dimension(:), allocatable :: prt_out0, prt_in0 type(pdg_array_t), dimension(:), allocatable :: pdg_tmp, pdg_out, pdg_in type(pdg_list_t), dimension(:), allocatable :: pl_in, pl_out type(prt_array_t) :: prt_out0_tmp, prt_in0_tmp integer :: i, j integer, dimension(:), allocatable :: reshuffle_list_local type(reshuffle_list_t) :: reshuffle_list integer :: flv type(string_t), dimension(:), allocatable :: buf integer :: i_buf flv = 0 allocate (prt_in0(0), prt_out0(0)) associate (if_table => generator%if_table) do i = 1, if_table%get_length () call if_table%get_pdg_out (i, pdg_tmp) if (size (pdg_tmp) == generator%n_tot) then call if_table%get_particle_string (i, & prt_in0_tmp%prt, prt_out0_tmp%prt) prt_in0 = [prt_in0, prt_in0_tmp] prt_out0 = [prt_out0, prt_out0_tmp] flv = flv + 1 end if end do end associate allocate (prt_in(size (prt_in0)), prt_out(size (prt_out0))) do i = 1, flv allocate (prt_in(i)%prt (generator%n_in)) allocate (prt_out(i)%prt (generator%n_tot - generator%n_in)) end do allocate (prt_tot_in (generator%n_in)) allocate (prt_tot_out (generator%n_tot - generator%n_in)) allocate (buf (generator%n_tot)) buf = "" do j = 1, flv do i = 1, generator%n_in prt_in(j)%prt(i) = prt_in0(j)%prt(i) call fill_buffer (buf(i), prt_in0(j)%prt(i)) end do end do prt_tot_in = buf(1 : generator%n_in) do j = 1, flv allocate (reshuffle_list_local (size (generator%reshuffle_list%get(j)))) reshuffle_list_local = generator%reshuffle_list%get(j) do i = 1, size (reshuffle_list_local) prt_out(j)%prt(reshuffle_list_local(i)) = prt_out0(j)%prt(i) i_buf = reshuffle_list_local(i) + generator%n_in call fill_buffer (buf(i_buf), & prt_out(j)%prt(reshuffle_list_local(i))) end do !!! Need to deallocate here because in the next iteration the reshuffling !!! list can have a different size deallocate (reshuffle_list_local) end do prt_tot_out = buf(generator%n_in + 1 : generator%n_tot) if (debug2_active (D_CORE)) then print *, 'Generated initial state: ' do i = 1, size (prt_tot_in) print *, char (prt_tot_in(i)) end do print *, 'Generated final state: ' do i = 1, size (prt_tot_out) print *, char (prt_tot_out(i)) end do end if contains subroutine fill_buffer (buffer, particle) type(string_t), intent(inout) :: buffer type(string_t), intent(in) :: particle logical :: particle_present if (len (buffer) > 0) then particle_present = check_for_substring (char(buffer), particle) if (.not. particle_present) buffer = buffer // ":" // particle else buffer = buffer // particle end if end subroutine fill_buffer function check_for_substring (buffer, substring) result (exist) character(len=*), intent(in) :: buffer type(string_t), intent(in) :: substring character(len=50) :: buffer_internal logical :: exist integer :: i_first, i_last exist = .false. i_first = 1; i_last = 1 do if (buffer(i_last:i_last) == ":") then buffer_internal = buffer (i_first : i_last - 1) if (buffer_internal == char (substring)) then exist = .true. exit end if i_first = i_last + 1; i_last = i_first + 1 if (i_last > len(buffer)) exit else if (i_last == len(buffer)) then buffer_internal = buffer (i_first : i_last) exist = buffer_internal == char (substring) exit else i_last = i_last + 1 if (i_last > len(buffer)) exit end if end do end function check_for_substring end subroutine radiation_generator_generate_real_particle_strings @ %def radiation_generator_generate_real_particle_strings @ <<radiation generator: radiation generator: TBP>>= procedure :: contains_emissions => radiation_generator_contains_emissions <<radiation generator: procedures>>= function radiation_generator_contains_emissions (generator) result (has_em) logical :: has_em class(radiation_generator_t), intent(in) :: generator has_em = .not. generator%reshuffle_list%is_empty () end function radiation_generator_contains_emissions @ %def radiation_generator_contains_emissions @ <<radiation generator: radiation generator: TBP>>= procedure :: generate => radiation_generator_generate <<radiation generator: procedures>>= subroutine radiation_generator_generate (generator, prt_in, prt_out) class(radiation_generator_t), intent(inout) :: generator type(string_t), intent(out), dimension(:), allocatable :: prt_in, prt_out call generator%find_splittings () call generator%generate_real_particle_strings (prt_in, prt_out) end subroutine radiation_generator_generate @ %def radiation_generator_generate @ <<radiation generator: radiation generator: TBP>>= procedure :: generate_multiple => radiation_generator_generate_multiple <<radiation generator: procedures>>= subroutine radiation_generator_generate_multiple (generator, max_multiplicity, model) class(radiation_generator_t), intent(inout) :: generator integer, intent(in) :: max_multiplicity class(model_data_t), intent(in), target :: model if (max_multiplicity <= generator%n_out) & call msg_fatal ("GKS states: Multiplicity is not large enough!") call generator%first_emission (model) call generator%reset_reshuffle_list () if (max_multiplicity - generator%n_out > 1) & call generator%append_emissions (max_multiplicity, model) end subroutine radiation_generator_generate_multiple @ %def radiation_generator_generate_multiple @ <<radiation generator: radiation generator: TBP>>= procedure :: first_emission => radiation_generator_first_emission <<radiation generator: procedures>>= subroutine radiation_generator_first_emission (generator, model) class(radiation_generator_t), intent(inout) :: generator class(model_data_t), intent(in), target :: model type(string_t), dimension(:), allocatable :: prt_in, prt_out call generator%setup_if_table (model) call generator%generate (prt_in, prt_out) call generator%prt_queue%null () call generator%prt_queue%append (prt_out) end subroutine radiation_generator_first_emission @ %def radiation_generator_first_emission @ <<radiation generator: radiation generator: TBP>>= procedure :: append_emissions => radiation_generator_append_emissions <<radiation generator: procedures>>= subroutine radiation_generator_append_emissions (generator, max_multiplicity, model) class(radiation_generator_t), intent(inout) :: generator integer, intent(in) :: max_multiplicity class(model_data_t), intent(in), target :: model type(string_t), dimension(:), allocatable :: prt_fetched type(string_t), dimension(:), allocatable :: prt_in type(string_t), dimension(:), allocatable :: prt_out type(pdg_array_t), dimension(:), allocatable :: pdg_new_out integer :: current_multiplicity, i, j, n_longest_length type :: prt_table_t type(string_t), dimension(:), allocatable :: prt end type prt_table_t type(prt_table_t), dimension(:), allocatable :: prt_table_out do call generator%prt_queue%get (prt_fetched) current_multiplicity = size (prt_fetched) if (current_multiplicity == max_multiplicity) exit call create_pdg_array (prt_fetched, model, & pdg_new_out) call generator%reset_particle_content (pdg_new_out) call generator%set_n (2, current_multiplicity, 0) call generator%set_constraints (.false., .false., .true., .true.) call generator%setup_if_table (model) call generator%generate (prt_in, prt_out) n_longest_length = get_length_of_longest_tuple (prt_out) call separate_particles (prt_out, prt_table_out) do i = 1, n_longest_length if (.not. any (prt_table_out(i)%prt == " ")) then call sort_prt (prt_table_out(i)%prt, model) if (.not. generator%prt_queue%contains (prt_table_out(i)%prt)) then call generator%prt_queue%append (prt_table_out(i)%prt) end if end if end do call generator%reset_reshuffle_list () end do contains subroutine separate_particles (prt, prt_table) type(string_t), intent(in), dimension(:) :: prt type(string_t), dimension(:), allocatable :: prt_tmp type(prt_table_t), intent(out), dimension(:), allocatable :: prt_table integer :: i, j logical, dimension(:), allocatable :: tuples_occured allocate (prt_table (n_longest_length)) do i = 1, n_longest_length allocate (prt_table(i)%prt (size (prt))) end do allocate (tuples_occured (size (prt))) do j = 1, size (prt) call split_string (prt(j), var_str (":"), prt_tmp) do i = 1, n_longest_length if (i <= size (prt_tmp)) then prt_table(i)%prt(j) = prt_tmp(i) else prt_table(i)%prt(j) = " " end if end do if (n_longest_length > 1) & tuples_occured(j) = prt_table(1)%prt(j) /= " " & .and. prt_table(2)%prt(j) /= " " end do if (any (tuples_occured)) then do j = 1, size (tuples_occured) if (.not. tuples_occured(j)) then do i = 2, n_longest_length prt_table(i)%prt(j) = prt_table(1)%prt(j) end do end if end do end if end subroutine separate_particles function get_length_of_longest_tuple (prt) result (longest_length) type(string_t), intent(in), dimension(:) :: prt integer :: longest_length, i type(prt_table_t), dimension(:), allocatable :: prt_table allocate (prt_table (size (prt))) longest_length = 0 do i = 1, size (prt) call split_string (prt(i), var_str (":"), prt_table(i)%prt) if (size (prt_table(i)%prt) > longest_length) & longest_length = size (prt_table(i)%prt) end do end function get_length_of_longest_tuple end subroutine radiation_generator_append_emissions @ %def radiation_generator_append_emissions @ <<radiation generator: radiation generator: TBP>>= procedure :: reset_queue => radiation_generator_reset_queue <<radiation generator: procedures>>= subroutine radiation_generator_reset_queue (generator) class(radiation_generator_t), intent(inout) :: generator call generator%prt_queue%reset () end subroutine radiation_generator_reset_queue @ %def radiation_generator_reset_queue @ <<radiation generator: radiation generator: TBP>>= procedure :: get_n_gks_states => radiation_generator_get_n_gks_states <<radiation generator: procedures>>= function radiation_generator_get_n_gks_states (generator) result (n) class(radiation_generator_t), intent(in) :: generator integer :: n n = generator%prt_queue%n_lists end function radiation_generator_get_n_gks_states @ %def radiation_generator_get_n_fks_states @ <<radiation generator: radiation generator: TBP>>= procedure :: get_next_state => radiation_generator_get_next_state <<radiation generator: procedures>>= function radiation_generator_get_next_state (generator) result (prt_string) class(radiation_generator_t), intent(inout) :: generator type(string_t), dimension(:), allocatable :: prt_string call generator%prt_queue%get (prt_string) end function radiation_generator_get_next_state @ %def radiation_generator_get_next_state @ <<radiation generator: radiation generator: TBP>>= procedure :: get_emitter_indices => radiation_generator_get_emitter_indices <<radiation generator: procedures>>= subroutine radiation_generator_get_emitter_indices (generator, indices) class(radiation_generator_t), intent(in) :: generator integer, dimension(:), allocatable, intent(out) :: indices type(pdg_array_t), dimension(:), allocatable :: pdg_in, pdg_out integer, dimension(:), allocatable :: flv_in, flv_out integer, dimension(:), allocatable :: emitters integer :: i, j integer :: n_in, n_out call generator%pl_in%create_pdg_array (pdg_in) call generator%pl_out%create_pdg_array (pdg_out) n_in = size (pdg_in); n_out = size (pdg_out) allocate (flv_in (n_in), flv_out (n_out)) forall (i=1:n_in) flv_in(i) = pdg_in(i)%get() forall (i=1:n_out) flv_out(i) = pdg_out(i)%get() call generator%if_table%get_emitters (generator%constraints, emitters) allocate (indices (size (emitters))) j = 1 do i = 1, n_in + n_out if (i <= n_in) then if (any (flv_in(i) == emitters)) then indices (j) = i j = j + 1 end if else if (any (flv_out(i-n_in) == emitters)) then indices (j) = i j = j + 1 end if end if end do end subroutine radiation_generator_get_emitter_indices @ %def radiation_generator_get_emitter_indices @ <<radiation generator: radiation generator: TBP>>= procedure :: get_raw_states => radiation_generator_get_raw_states <<radiation generator: procedures>>= function radiation_generator_get_raw_states (generator) result (raw_states) class(radiation_generator_t), intent(in), target :: generator integer, dimension(:,:), allocatable :: raw_states type(pdg_states_t), pointer :: state integer :: n_states, n_particles integer :: i_state integer :: j state => generator%pdg_raw n_states = generator%pdg_raw%get_n_states () n_particles = size (generator%pdg_raw%pdg) allocate (raw_states (n_particles, n_states)) do i_state = 1, n_states do j = 1, n_particles raw_states (j, i_state) = state%pdg(j)%get () end do state => state%next end do end function radiation_generator_get_raw_states @ %def radiation_generator_get_raw_states @ <<radiation generator: radiation generator: TBP>>= procedure :: save_born_raw => radiation_generator_save_born_raw <<radiation generator: procedures>>= subroutine radiation_generator_save_born_raw (generator, pdg_in, pdg_out) class(radiation_generator_t), intent(inout) :: generator type(pdg_array_t), dimension(:), allocatable, intent(in) :: pdg_in, pdg_out generator%pdg_in_born = pdg_in generator%pdg_out_born = pdg_out end subroutine radiation_generator_save_born_raw @ %def radiation_generator_save_born_raw @ <<radiation generator: radiation generator: TBP>>= procedure :: get_born_raw => radiation_generator_get_born_raw <<radiation generator: procedures>>= function radiation_generator_get_born_raw (generator) result (flv_born) class(radiation_generator_t), intent(in) :: generator integer, dimension(:,:), allocatable :: flv_born integer :: i_part, n_particles n_particles = size (generator%pdg_in_born) + size (generator%pdg_out_born) allocate (flv_born (n_particles, 1)) flv_born(1,1) = generator%pdg_in_born(1)%get () flv_born(2,1) = generator%pdg_in_born(2)%get () do i_part = 3, n_particles flv_born(i_part, 1) = generator%pdg_out_born(i_part-2)%get () end do end function radiation_generator_get_born_raw @ %def radiation_generator_get_born_raw @ \subsection{Unit tests} Test module, followed by the corresponding implementation module. <<[[radiation_generator_ut.f90]]>>= <<File header>> module radiation_generator_ut use unit_tests use radiation_generator_uti <<Standard module head>> <<radiation generator: public test>> contains <<radiation generator: test driver>> end module radiation_generator_ut @ %def radiation_generator_ut @ <<[[radiation_generator_uti.f90]]>>= <<File header>> module radiation_generator_uti <<Use strings>> use format_utils, only: write_separator use os_interface use pdg_arrays use models use kinds, only: default use radiation_generator <<Standard module head>> <<radiation generator: test declarations>> contains <<radiation generator: tests>> <<radiation generator: test auxiliary>> end module radiation_generator_uti @ %def radiation_generator_ut @ API: driver for the unit tests below. <<radiation generator: public test>>= public :: radiation_generator_test <<radiation generator: test driver>>= subroutine radiation_generator_test (u, results) integer, intent(in) :: u type(test_results_t), intent(inout) :: results call test(radiation_generator_1, "radiation_generator_1", & "Test the generator of N+1-particle flavor structures in QCD", & u, results) call test(radiation_generator_2, "radiation_generator_2", & "Test multiple splittings in QCD", & u, results) call test(radiation_generator_3, "radiation_generator_3", & "Test the generator of N+1-particle flavor structures in QED", & u, results) call test(radiation_generator_4, "radiation_generator_4", & "Test multiple splittings in QED", & u, results) end subroutine radiation_generator_test @ %def radiation_generator_test @ <<radiation generator: test declarations>>= public :: radiation_generator_1 <<radiation generator: tests>>= subroutine radiation_generator_1 (u) integer, intent(in) :: u type(radiation_generator_t) :: generator type(pdg_array_t), dimension(:), allocatable :: pdg_in, pdg_out type(os_data_t) :: os_data type(model_list_t) :: model_list type(model_t), pointer :: model => null () write (u, "(A)") "* Test output: radiation_generator_1" write (u, "(A)") "* Purpose: Create N+1-particle flavor structures & &from predefined N-particle flavor structures" write (u, "(A)") "* One additional strong coupling, no additional electroweak coupling" write (u, "(A)") write (u, "(A)") "* Loading radiation model: SM.mdl" call syntax_model_file_init () call os_data%init () call model_list%read_model & (var_str ("SM"), var_str ("SM.mdl"), & os_data, model) write (u, "(A)") "* Success" allocate (pdg_in (2)) pdg_in(1) = 11; pdg_in(2) = -11 write (u, "(A)") "* Start checking processes" call write_separator (u) write (u, "(A)") "* Process 1: Top pair-production with additional gluon" allocate (pdg_out(3)) pdg_out(1) = 6; pdg_out(2) = -6; pdg_out(3) = 21 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 2: Top pair-production with additional jet" allocate (pdg_out(3)) pdg_out(1) = 6; pdg_out(2) = -6; pdg_out(3) = [-1,1,-2,2,-3,3,-4,4,-5,5,21] call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 3: Quark-antiquark production" allocate (pdg_out(2)) pdg_out(1) = 2; pdg_out(2) = -2 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 4: Quark-antiquark production with additional gluon" allocate (pdg_out(3)) pdg_out(1) = 2; pdg_out(2) = -2; pdg_out(3) = 21 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 5: Z + jets" allocate (pdg_out(3)) pdg_out(1) = 2; pdg_out(2) = -2; pdg_out(3) = 23 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 6: Top Decay" allocate (pdg_out(4)) pdg_out(1) = 24; pdg_out(2) = -24 pdg_out(3) = 5; pdg_out(4) = -5 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 7: Production of four quarks" allocate (pdg_out(4)) pdg_out(1) = 2; pdg_out(2) = -2; pdg_out(3) = 2; pdg_out(4) = -2 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out); deallocate (pdg_in) write (u, "(A)") "* Process 8: Drell-Yan lepto-production" allocate (pdg_in (2)); allocate (pdg_out (2)) pdg_in(1) = 2; pdg_in(2) = -2 pdg_out(1) = 11; pdg_out(2) = -11 call test_process (generator, pdg_in, pdg_out, u, .true.) deallocate (pdg_out); deallocate (pdg_in) write (u, "(A)") "* Process 9: WZ production at hadron-colliders" allocate (pdg_in (2)); allocate (pdg_out (2)) pdg_in(1) = 1; pdg_in(2) = -2 pdg_out(1) = -24; pdg_out(2) = 23 call test_process (generator, pdg_in, pdg_out, u, .true.) deallocate (pdg_out); deallocate (pdg_in) contains subroutine test_process (generator, pdg_in, pdg_out, u, include_initial_state) type(radiation_generator_t), intent(inout) :: generator type(pdg_array_t), dimension(:), intent(in) :: pdg_in, pdg_out integer, intent(in) :: u logical, intent(in), optional :: include_initial_state type(string_t), dimension(:), allocatable :: prt_strings_in type(string_t), dimension(:), allocatable :: prt_strings_out type(pdg_array_t), dimension(10) :: pdg_excluded logical :: yorn yorn = .false. pdg_excluded = [-4, 4, 5, -5, 6, -6, 13, -13, 15, -15] if (present (include_initial_state)) yorn = include_initial_state write (u, "(A)") "* Leading order: " write (u, "(A)", advance = 'no') '* Incoming: ' call write_pdg_array (pdg_in, u) write (u, "(A)", advance = 'no') '* Outgoing: ' call write_pdg_array (pdg_out, u) call generator%init (pdg_in, pdg_out, & pdg_excluded_gauge_splittings = pdg_excluded, qcd = .true., qed = .false.) call generator%set_n (2, size(pdg_out), 0) if (yorn) call generator%set_initial_state_emissions () call generator%set_constraints (.false., .false., .true., .true.) call generator%setup_if_table (model) call generator%generate (prt_strings_in, prt_strings_out) write (u, "(A)") "* Additional radiation: " write (u, "(A)") "* Incoming: " call write_particle_string (prt_strings_in, u) write (u, "(A)") "* Outgoing: " call write_particle_string (prt_strings_out, u) call write_separator(u) call generator%reset_reshuffle_list () end subroutine test_process end subroutine radiation_generator_1 @ %def radiation_generator_1 @ <<radiation generator: test declarations>>= public :: radiation_generator_2 <<radiation generator: tests>>= subroutine radiation_generator_2 (u) integer, intent(in) :: u type(radiation_generator_t) :: generator type(pdg_array_t), dimension(:), allocatable :: pdg_in, pdg_out type(pdg_array_t), dimension(:), allocatable :: pdg_excluded type(os_data_t) :: os_data type(model_list_t) :: model_list type(model_t), pointer :: model => null () integer, parameter :: max_multiplicity = 10 type(string_t), dimension(:), allocatable :: prt_last write (u, "(A)") "* Test output: radiation_generator_2" write (u, "(A)") "* Purpose: Test the repeated application of & &a radiation generator splitting in QCD" write (u, "(A)") "* Only Final state emissions! " write (u, "(A)") write (u, "(A)") "* Loading radiation model: SM.mdl" call syntax_model_file_init () call os_data%init () call model_list%read_model & (var_str ("SM"), var_str ("SM.mdl"), & os_data, model) write (u, "(A)") "* Success" allocate (pdg_in (2)) pdg_in(1) = 11; pdg_in(2) = -11 allocate (pdg_out(2)) pdg_out(1) = 2; pdg_out(2) = -2 allocate (pdg_excluded (10)) pdg_excluded = [-4, 4, 5, -5, 6, -6, 13, -13, 15, -15] write (u, "(A)") "* Leading order" write (u, "(A)", advance = 'no') "* Incoming: " call write_pdg_array (pdg_in, u) write (u, "(A)", advance = 'no') "* Outgoing: " call write_pdg_array (pdg_out, u) call generator%init (pdg_in, pdg_out, & pdg_excluded_gauge_splittings = pdg_excluded, qcd = .true., qed = .false.) call generator%set_n (2, 2, 0) call generator%set_constraints (.false., .false., .true., .true.) call write_separator (u) write (u, "(A)") "Generate higher-multiplicity states" write (u, "(A,I0)") "Desired multiplicity: ", max_multiplicity call generator%generate_multiple (max_multiplicity, model) call generator%prt_queue%write (u) call write_separator (u) write (u, "(A,I0)") "Number of higher-multiplicity states: ", generator%prt_queue%n_lists write (u, "(A)") "Check that no particle state occurs twice or more" if (.not. generator%prt_queue%check_for_same_prt_strings()) then write (u, "(A)") "SUCCESS" else write (u, "(A)") "FAIL" end if call write_separator (u) write (u, "(A,I0,A)") "Check that there are ", max_multiplicity, " particles in the last entry:" call generator%prt_queue%get_last (prt_last) if (size (prt_last) == max_multiplicity) then write (u, "(A)") "SUCCESS" else write (u, "(A)") "FAIL" end if end subroutine radiation_generator_2 @ %def radiation_generator_2 @ <<radiation generator: test declarations>>= public :: radiation_generator_3 <<radiation generator: tests>>= subroutine radiation_generator_3 (u) integer, intent(in) :: u type(radiation_generator_t) :: generator type(pdg_array_t), dimension(:), allocatable :: pdg_in, pdg_out type(os_data_t) :: os_data type(model_list_t) :: model_list type(model_t), pointer :: model => null () write (u, "(A)") "* Test output: radiation_generator_3" write (u, "(A)") "* Purpose: Create N+1-particle flavor structures & &from predefined N-particle flavor structures" write (u, "(A)") "* One additional electroweak coupling, no additional strong coupling" write (u, "(A)") write (u, "(A)") "* Loading radiation model: SM.mdl" call syntax_model_file_init () call os_data%init () call model_list%read_model & (var_str ("SM"), var_str ("SM.mdl"), & os_data, model) write (u, "(A)") "* Success" allocate (pdg_in (2)) pdg_in(1) = 11; pdg_in(2) = -11 write (u, "(A)") "* Start checking processes" call write_separator (u) write (u, "(A)") "* Process 1: Tau pair-production with additional photon" allocate (pdg_out(3)) pdg_out(1) = 15; pdg_out(2) = -15; pdg_out(3) = 22 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 2: Tau pair-production with additional leptons or photon" allocate (pdg_out(3)) pdg_out(1) = 15; pdg_out(2) = -15; pdg_out(3) = [-13, 13, 22] call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 3: Electron-positron production" allocate (pdg_out(2)) pdg_out(1) = 11; pdg_out(2) = -11 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 4: Quark-antiquark production with additional photon" allocate (pdg_out(3)) pdg_out(1) = 2; pdg_out(2) = -2; pdg_out(3) = 22 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 5: Z + jets " allocate (pdg_out(3)) pdg_out(1) = 2; pdg_out(2) = -2; pdg_out(3) = 23 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 6: W + jets" allocate (pdg_out(3)) pdg_out(1) = 1; pdg_out(2) = -2; pdg_out(3) = -24 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 7: Top Decay" allocate (pdg_out(4)) pdg_out(1) = 24; pdg_out(2) = -24 pdg_out(3) = 5; pdg_out(4) = -5 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 8: Production of four quarks" allocate (pdg_out(4)) pdg_out(1) = 2; pdg_out(2) = -2; pdg_out(3) = 2; pdg_out(4) = -2 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out) write (u, "(A)") "* Process 9: Neutrino pair-production" allocate (pdg_out(2)) pdg_out(1) = 12; pdg_out(2) = -12 call test_process (generator, pdg_in, pdg_out, u, .true.) deallocate (pdg_out); deallocate (pdg_in) write (u, "(A)") "* Process 10: Drell-Yan lepto-production" allocate (pdg_in (2)); allocate (pdg_out (2)) pdg_in(1) = 2; pdg_in(2) = -2 pdg_out(1) = 11; pdg_out(2) = -11 call test_process (generator, pdg_in, pdg_out, u, .true.) deallocate (pdg_out); deallocate (pdg_in) write (u, "(A)") "* Process 11: WZ production at hadron-colliders" allocate (pdg_in (2)); allocate (pdg_out (2)) pdg_in(1) = 1; pdg_in(2) = -2 pdg_out(1) = -24; pdg_out(2) = 23 call test_process (generator, pdg_in, pdg_out, u, .true.) deallocate (pdg_out); deallocate (pdg_in) write (u, "(A)") "* Process 12: Positron-neutrino production" allocate (pdg_in (2)); allocate (pdg_out (2)) pdg_in(1) = -1; pdg_in(2) = 2 pdg_out(1) = -11; pdg_out(2) = 12 call test_process (generator, pdg_in, pdg_out, u) deallocate (pdg_out); deallocate (pdg_in) contains subroutine test_process (generator, pdg_in, pdg_out, u, include_initial_state) type(radiation_generator_t), intent(inout) :: generator type(pdg_array_t), dimension(:), intent(in) :: pdg_in, pdg_out integer, intent(in) :: u logical, intent(in), optional :: include_initial_state type(string_t), dimension(:), allocatable :: prt_strings_in type(string_t), dimension(:), allocatable :: prt_strings_out type(pdg_array_t), dimension(10) :: pdg_excluded logical :: yorn yorn = .false. pdg_excluded = [-4, 4, 5, -5, 6, -6, 13, -13, 15, -15] if (present (include_initial_state)) yorn = include_initial_state write (u, "(A)") "* Leading order: " write (u, "(A)", advance = 'no') '* Incoming: ' call write_pdg_array (pdg_in, u) write (u, "(A)", advance = 'no') '* Outgoing: ' call write_pdg_array (pdg_out, u) call generator%init (pdg_in, pdg_out, & pdg_excluded_gauge_splittings = pdg_excluded, qcd = .false., qed = .true.) call generator%set_n (2, size(pdg_out), 0) if (yorn) call generator%set_initial_state_emissions () call generator%set_constraints (.false., .false., .true., .true.) call generator%setup_if_table (model) call generator%generate (prt_strings_in, prt_strings_out) write (u, "(A)") "* Additional radiation: " write (u, "(A)") "* Incoming: " call write_particle_string (prt_strings_in, u) write (u, "(A)") "* Outgoing: " call write_particle_string (prt_strings_out, u) call write_separator(u) call generator%reset_reshuffle_list () end subroutine test_process end subroutine radiation_generator_3 @ %def radiation_generator_3 @ <<radiation generator: test declarations>>= public :: radiation_generator_4 <<radiation generator: tests>>= subroutine radiation_generator_4 (u) integer, intent(in) :: u type(radiation_generator_t) :: generator type(pdg_array_t), dimension(:), allocatable :: pdg_in, pdg_out type(pdg_array_t), dimension(:), allocatable :: pdg_excluded type(os_data_t) :: os_data type(model_list_t) :: model_list type(model_t), pointer :: model => null () integer, parameter :: max_multiplicity = 10 type(string_t), dimension(:), allocatable :: prt_last write (u, "(A)") "* Test output: radiation_generator_4" write (u, "(A)") "* Purpose: Test the repeated application of & &a radiation generator splitting in QED" write (u, "(A)") "* Only Final state emissions! " write (u, "(A)") write (u, "(A)") "* Loading radiation model: SM.mdl" call syntax_model_file_init () call os_data%init () call model_list%read_model & (var_str ("SM"), var_str ("SM.mdl"), & os_data, model) write (u, "(A)") "* Success" allocate (pdg_in (2)) pdg_in(1) = 2; pdg_in(2) = -2 allocate (pdg_out(2)) pdg_out(1) = 11; pdg_out(2) = -11 allocate ( pdg_excluded (14)) pdg_excluded = [1, -1, 2, -2, 3, -3, 4, -4, 5, -5, 6, -6, 15, -15] write (u, "(A)") "* Leading order" write (u, "(A)", advance = 'no') "* Incoming: " call write_pdg_array (pdg_in, u) write (u, "(A)", advance = 'no') "* Outgoing: " call write_pdg_array (pdg_out, u) call generator%init (pdg_in, pdg_out, & pdg_excluded_gauge_splittings = pdg_excluded, qcd = .false., qed = .true.) call generator%set_n (2, 2, 0) call generator%set_constraints (.false., .false., .true., .true.) call write_separator (u) write (u, "(A)") "Generate higher-multiplicity states" write (u, "(A,I0)") "Desired multiplicity: ", max_multiplicity call generator%generate_multiple (max_multiplicity, model) call generator%prt_queue%write (u) call write_separator (u) write (u, "(A,I0)") "Number of higher-multiplicity states: ", generator%prt_queue%n_lists write (u, "(A)") "Check that no particle state occurs twice or more" if (.not. generator%prt_queue%check_for_same_prt_strings()) then write (u, "(A)") "SUCCESS" else write (u, "(A)") "FAIL" end if call write_separator (u) write (u, "(A,I0,A)") "Check that there are ", max_multiplicity, " particles in the last entry:" call generator%prt_queue%get_last (prt_last) if (size (prt_last) == max_multiplicity) then write (u, "(A)") "SUCCESS" else write (u, "(A)") "FAIL" end if end subroutine radiation_generator_4 @ %def radiation_generator_4 @ \clearpage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Sindarin Expression Implementation} This module defines expressions of all kinds, represented in a tree structure, for repeated evaluation. This provides an implementation of the [[expr_base]] abstract type. We have two flavors of expressions: one with particles and one without particles. The latter version is used for defining cut/selection criteria and for online analysis. <<[[eval_trees.f90]]>>= <<File header>> module eval_trees use, intrinsic :: iso_c_binding !NODEP! <<Use kinds>> <<Use strings>> use io_units use constants, only: DEGREE, IMAGO, PI use format_defs, only: FMT_19 use numeric_utils, only: nearly_equal use diagnostics use lorentz use md5 use formats use sorting use ifiles use lexers use syntax_rules use parser use analysis use jets use pdg_arrays use subevents use var_base use expr_base use variables use observables <<Standard module head>> <<Eval trees: public>> <<Eval trees: types>> <<Eval trees: interfaces>> <<Eval trees: variables>> contains <<Eval trees: procedures>> end module eval_trees @ %def eval_trees @ \subsection{Tree nodes} The evaluation tree consists of branch nodes (unary and binary) and of leaf nodes, originating from a common root. The node object should be polymorphic. For the time being, polymorphism is emulated here. This means that we have to maintain all possibilities that the node may hold, including associated procedures as pointers. The following parameter values characterize the node. Unary and binary operators have sub-nodes. The other are leaf nodes. Possible leafs are literal constants or named-parameter references. <<Eval trees: types>>= integer, parameter :: EN_UNKNOWN = 0, EN_UNARY = 1, EN_BINARY = 2 integer, parameter :: EN_CONSTANT = 3, EN_VARIABLE = 4 integer, parameter :: EN_CONDITIONAL = 5, EN_BLOCK = 6 integer, parameter :: EN_RECORD_CMD = 7 integer, parameter :: EN_OBS1_INT = 11, EN_OBS2_INT = 12 integer, parameter :: EN_OBS1_REAL = 21, EN_OBS2_REAL = 22 integer, parameter :: EN_PRT_FUN_UNARY = 101, EN_PRT_FUN_BINARY = 102 integer, parameter :: EN_EVAL_FUN_UNARY = 111, EN_EVAL_FUN_BINARY = 112 integer, parameter :: EN_LOG_FUN_UNARY = 121, EN_LOG_FUN_BINARY = 122 integer, parameter :: EN_INT_FUN_UNARY = 131, EN_INT_FUN_BINARY = 132 integer, parameter :: EN_REAL_FUN_UNARY = 141, EN_REAL_FUN_BINARY = 142 integer, parameter :: EN_FORMAT_STR = 161 @ %def EN_UNKNOWN EN_UNARY EN_BINARY EN_CONSTANT EN_VARIABLE EN_CONDITIONAL @ %def EN_RECORD_CMD @ %def EN_OBS1_INT EN_OBS2_INT EN_OBS1_REAL EN_OBS2_REAL @ %def EN_PRT_FUN_UNARY EN_PRT_FUN_BINARY @ %def EN_EVAL_FUN_UNARY EN_EVAL_FUN_BINARY @ %def EN_LOG_FUN_UNARY EN_LOG_FUN_BINARY @ %def EN_INT_FUN_UNARY EN_INT_FUN_BINARY @ %def EN_REAL_FUN_UNARY EN_REAL_FUN_BINARY @ %def EN_FORMAT_STR @ This is exported only for use within unit tests. <<Eval trees: public>>= public :: eval_node_t <<Eval trees: types>>= type :: eval_node_t private type(string_t) :: tag integer :: type = EN_UNKNOWN integer :: result_type = V_NONE type(var_list_t), pointer :: var_list => null () type(string_t) :: var_name logical, pointer :: value_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 () type(eval_node_t), pointer :: arg0 => null () type(eval_node_t), pointer :: arg1 => null () type(eval_node_t), pointer :: arg2 => null () type(eval_node_t), pointer :: arg3 => null () type(eval_node_t), pointer :: arg4 => 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 () integer, pointer :: prt_type => null () integer, pointer :: index => null () real(default), pointer :: tolerance => null () integer, pointer :: jet_algorithm => null () real(default), pointer :: jet_r => null () real(default), pointer :: jet_p => null () real(default), pointer :: jet_ycut => null () real(default), pointer :: jet_dcut => null () real(default), pointer :: photon_iso_eps => null () real(default), pointer :: photon_iso_n => null () real(default), pointer :: photon_iso_r0 => null () real(default), pointer :: photon_rec_r0 => null () type(prt_t), pointer :: prt1 => null () type(prt_t), pointer :: prt2 => null () procedure(unary_log), nopass, pointer :: op1_log => null () procedure(unary_int), nopass, pointer :: op1_int => null () procedure(unary_real), nopass, pointer :: op1_real => null () procedure(unary_cmplx), nopass, pointer :: op1_cmplx => null () procedure(unary_pdg), nopass, pointer :: op1_pdg => null () procedure(unary_sev), nopass, pointer :: op1_sev => null () procedure(unary_str), nopass, pointer :: op1_str => null () procedure(unary_cut), nopass, pointer :: op1_cut => null () procedure(unary_evi), nopass, pointer :: op1_evi => null () procedure(unary_evr), nopass, pointer :: op1_evr => null () procedure(binary_log), nopass, pointer :: op2_log => null () procedure(binary_int), nopass, pointer :: op2_int => null () procedure(binary_real), nopass, pointer :: op2_real => null () procedure(binary_cmplx), nopass, pointer :: op2_cmplx => null () procedure(binary_pdg), nopass, pointer :: op2_pdg => null () procedure(binary_sev), nopass, pointer :: op2_sev => null () procedure(binary_str), nopass, pointer :: op2_str => null () procedure(binary_cut), nopass, pointer :: op2_cut => null () procedure(binary_evi), nopass, pointer :: op2_evi => null () procedure(binary_evr), nopass, pointer :: op2_evr => null () contains <<Eval trees: eval node: TBP>> end type eval_node_t @ %def eval_node_t @ Finalize a node recursively. Allocated constants are deleted, pointers are ignored. <<Eval trees: eval node: TBP>>= procedure :: final_rec => eval_node_final_rec <<Eval trees: procedures>>= recursive subroutine eval_node_final_rec (node) class(eval_node_t), intent(inout) :: node select case (node%type) case (EN_UNARY) call eval_node_final_rec (node%arg1) case (EN_BINARY) call eval_node_final_rec (node%arg1) call eval_node_final_rec (node%arg2) case (EN_CONDITIONAL) call eval_node_final_rec (node%arg0) call eval_node_final_rec (node%arg1) call eval_node_final_rec (node%arg2) case (EN_BLOCK) call eval_node_final_rec (node%arg0) call eval_node_final_rec (node%arg1) case (EN_PRT_FUN_UNARY, EN_EVAL_FUN_UNARY, & EN_LOG_FUN_UNARY, EN_INT_FUN_UNARY, EN_REAL_FUN_UNARY) if (associated (node%arg0)) call eval_node_final_rec (node%arg0) call eval_node_final_rec (node%arg1) deallocate (node%index) deallocate (node%prt1) case (EN_PRT_FUN_BINARY, EN_EVAL_FUN_BINARY, & EN_LOG_FUN_BINARY, EN_INT_FUN_BINARY, EN_REAL_FUN_BINARY) if (associated (node%arg0)) call eval_node_final_rec (node%arg0) call eval_node_final_rec (node%arg1) call eval_node_final_rec (node%arg2) deallocate (node%index) deallocate (node%prt1) deallocate (node%prt2) case (EN_FORMAT_STR) if (associated (node%arg0)) call eval_node_final_rec (node%arg0) if (associated (node%arg1)) call eval_node_final_rec (node%arg1) deallocate (node%ival) case (EN_RECORD_CMD) if (associated (node%arg0)) call eval_node_final_rec (node%arg0) if (associated (node%arg1)) call eval_node_final_rec (node%arg1) if (associated (node%arg2)) call eval_node_final_rec (node%arg2) if (associated (node%arg3)) call eval_node_final_rec (node%arg3) if (associated (node%arg4)) call eval_node_final_rec (node%arg4) end select select case (node%type) case (EN_UNARY, EN_BINARY, EN_CONDITIONAL, EN_CONSTANT, EN_BLOCK, & EN_PRT_FUN_UNARY, EN_PRT_FUN_BINARY, & EN_EVAL_FUN_UNARY, EN_EVAL_FUN_BINARY, & EN_LOG_FUN_UNARY, EN_LOG_FUN_BINARY, & EN_INT_FUN_UNARY, EN_INT_FUN_BINARY, & EN_REAL_FUN_UNARY, EN_REAL_FUN_BINARY, & EN_FORMAT_STR, EN_RECORD_CMD) select case (node%result_type) case (V_LOG); deallocate (node%lval) case (V_INT); deallocate (node%ival) case (V_REAL); deallocate (node%rval) case (V_CMPLX); deallocate (node%cval) case (V_SEV); deallocate (node%pval) case (V_PDG); deallocate (node%aval) case (V_STR); deallocate (node%sval) end select deallocate (node%value_is_known) end select end subroutine eval_node_final_rec @ %def eval_node_final_rec @ \subsubsection{Leaf nodes} Initialize a leaf node with a literal constant. <<Eval trees: procedures>>= subroutine eval_node_init_log (node, lval) type(eval_node_t), intent(out) :: node logical, intent(in) :: lval node%type = EN_CONSTANT node%result_type = V_LOG allocate (node%lval, node%value_is_known) node%lval = lval node%value_is_known = .true. end subroutine eval_node_init_log subroutine eval_node_init_int (node, ival) type(eval_node_t), intent(out) :: node integer, intent(in) :: ival node%type = EN_CONSTANT node%result_type = V_INT allocate (node%ival, node%value_is_known) node%ival = ival node%value_is_known = .true. end subroutine eval_node_init_int subroutine eval_node_init_real (node, rval) type(eval_node_t), intent(out) :: node real(default), intent(in) :: rval node%type = EN_CONSTANT node%result_type = V_REAL allocate (node%rval, node%value_is_known) node%rval = rval node%value_is_known = .true. end subroutine eval_node_init_real subroutine eval_node_init_cmplx (node, cval) type(eval_node_t), intent(out) :: node complex(default), intent(in) :: cval node%type = EN_CONSTANT node%result_type = V_CMPLX allocate (node%cval, node%value_is_known) node%cval = cval node%value_is_known = .true. end subroutine eval_node_init_cmplx subroutine eval_node_init_subevt (node, pval) type(eval_node_t), intent(out) :: node type(subevt_t), intent(in) :: pval node%type = EN_CONSTANT node%result_type = V_SEV allocate (node%pval, node%value_is_known) node%pval = pval node%value_is_known = .true. end subroutine eval_node_init_subevt subroutine eval_node_init_pdg_array (node, aval) type(eval_node_t), intent(out) :: node type(pdg_array_t), intent(in) :: aval node%type = EN_CONSTANT node%result_type = V_PDG allocate (node%aval, node%value_is_known) node%aval = aval node%value_is_known = .true. end subroutine eval_node_init_pdg_array subroutine eval_node_init_string (node, sval) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: sval node%type = EN_CONSTANT node%result_type = V_STR allocate (node%sval, node%value_is_known) node%sval = sval node%value_is_known = .true. end subroutine eval_node_init_string @ %def eval_node_init_log eval_node_init_int eval_node_init_real @ %def eval_node_init_cmplx eval_node_init_prt eval_node_init_subevt @ %def eval_node_init_pdg_array eval_node_init_string @ Initialize a leaf node with a pointer to a named parameter <<Eval trees: procedures>>= subroutine eval_node_init_log_ptr (node, name, lval, is_known) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name logical, intent(in), target :: lval logical, intent(in), target :: is_known node%type = EN_VARIABLE node%tag = name node%result_type = V_LOG node%lval => lval node%value_is_known => is_known end subroutine eval_node_init_log_ptr subroutine eval_node_init_int_ptr (node, name, ival, is_known) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name integer, intent(in), target :: ival logical, intent(in), target :: is_known node%type = EN_VARIABLE node%tag = name node%result_type = V_INT node%ival => ival node%value_is_known => is_known end subroutine eval_node_init_int_ptr subroutine eval_node_init_real_ptr (node, name, rval, is_known) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name real(default), intent(in), target :: rval logical, intent(in), target :: is_known node%type = EN_VARIABLE node%tag = name node%result_type = V_REAL node%rval => rval node%value_is_known => is_known end subroutine eval_node_init_real_ptr subroutine eval_node_init_cmplx_ptr (node, name, cval, is_known) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name complex(default), intent(in), target :: cval logical, intent(in), target :: is_known node%type = EN_VARIABLE node%tag = name node%result_type = V_CMPLX node%cval => cval node%value_is_known => is_known end subroutine eval_node_init_cmplx_ptr subroutine eval_node_init_subevt_ptr (node, name, pval, is_known) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name type(subevt_t), intent(in), target :: pval logical, intent(in), target :: is_known node%type = EN_VARIABLE node%tag = name node%result_type = V_SEV node%pval => pval node%value_is_known => is_known end subroutine eval_node_init_subevt_ptr subroutine eval_node_init_pdg_array_ptr (node, name, aval, is_known) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name type(pdg_array_t), intent(in), target :: aval logical, intent(in), target :: is_known node%type = EN_VARIABLE node%tag = name node%result_type = V_PDG node%aval => aval node%value_is_known => is_known end subroutine eval_node_init_pdg_array_ptr subroutine eval_node_init_string_ptr (node, name, sval, is_known) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name type(string_t), intent(in), target :: sval logical, intent(in), target :: is_known node%type = EN_VARIABLE node%tag = name node%result_type = V_STR node%sval => sval node%value_is_known => is_known end subroutine eval_node_init_string_ptr @ %def eval_node_init_log_ptr eval_node_init_int_ptr @ %def eval_node_init_real_ptr eval_node_init_cmplx_ptr @ %def eval_node_init_subevt_ptr eval_node_init_string_ptr @ The procedure-pointer cases: <<Eval trees: procedures>>= subroutine eval_node_init_obs1_int_ptr (node, name, obs1_iptr, p1) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name procedure(obs_unary_int), intent(in), pointer :: obs1_iptr type(prt_t), intent(in), target :: p1 node%type = EN_OBS1_INT node%tag = name node%result_type = V_INT node%obs1_int => obs1_iptr node%prt1 => p1 allocate (node%ival, node%value_is_known) node%value_is_known = .false. end subroutine eval_node_init_obs1_int_ptr subroutine eval_node_init_obs2_int_ptr (node, name, obs2_iptr, p1, p2) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name procedure(obs_binary_int), intent(in), pointer :: obs2_iptr type(prt_t), intent(in), target :: p1, p2 node%type = EN_OBS2_INT node%tag = name node%result_type = V_INT node%obs2_int => obs2_iptr node%prt1 => p1 node%prt2 => p2 allocate (node%ival, node%value_is_known) node%value_is_known = .false. end subroutine eval_node_init_obs2_int_ptr subroutine eval_node_init_obs1_real_ptr (node, name, obs1_rptr, p1) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name procedure(obs_unary_real), intent(in), pointer :: obs1_rptr type(prt_t), intent(in), target :: p1 node%type = EN_OBS1_REAL node%tag = name node%result_type = V_REAL node%obs1_real => obs1_rptr node%prt1 => p1 allocate (node%rval, node%value_is_known) node%value_is_known = .false. end subroutine eval_node_init_obs1_real_ptr subroutine eval_node_init_obs2_real_ptr (node, name, obs2_rptr, p1, p2) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: name procedure(obs_binary_real), intent(in), pointer :: obs2_rptr type(prt_t), intent(in), target :: p1, p2 node%type = EN_OBS2_REAL node%tag = name node%result_type = V_REAL node%obs2_real => obs2_rptr node%prt1 => p1 node%prt2 => p2 allocate (node%rval, node%value_is_known) node%value_is_known = .false. end subroutine eval_node_init_obs2_real_ptr @ %def eval_node_init_obs1_int_ptr @ %def eval_node_init_obs2_int_ptr @ %def eval_node_init_obs1_real_ptr @ %def eval_node_init_obs2_real_ptr @ \subsubsection{Branch nodes} Initialize a branch node, sub-nodes are given. <<Eval trees: procedures>>= subroutine eval_node_init_branch (node, tag, result_type, arg1, arg2) type(eval_node_t), intent(out) :: node type(string_t), intent(in) :: tag integer, intent(in) :: result_type type(eval_node_t), intent(in), target :: arg1 type(eval_node_t), intent(in), target, optional :: arg2 if (present (arg2)) then node%type = EN_BINARY else node%type = EN_UNARY end if node%tag = tag node%result_type = result_type call eval_node_allocate_value (node) node%arg1 => arg1 if (present (arg2)) node%arg2 => arg2 end subroutine eval_node_init_branch @ %def eval_node_init_branch @ Allocate the node value according to the result type. <<Eval trees: procedures>>= subroutine eval_node_allocate_value (node) type(eval_node_t), intent(inout) :: node select case (node%result_type) case (V_LOG); allocate (node%lval) case (V_INT); allocate (node%ival) case (V_REAL); allocate (node%rval) case (V_CMPLX); allocate (node%cval) case (V_PDG); allocate (node%aval) case (V_SEV); allocate (node%pval) call subevt_init (node%pval) case (V_STR); allocate (node%sval) end select allocate (node%value_is_known) node%value_is_known = .false. end subroutine eval_node_allocate_value @ %def eval_node_allocate_value @ Initialize a block node which contains, in addition to the expression to be evaluated, a variable definition. The result type is not yet assigned, because we can compile the enclosed expression only after the var list is set up. Note that the node always allocates a new variable list and appends it to the current one. Thus, if the variable redefines an existing one, it only shadows it but does not reset it. Any side-effects are therefore absent and need not be undone outside the block. If the flag [[new]] is set, a variable is (re)declared. This must not be done for intrinsic variables. Vice versa, if the variable is not existent, the [[new]] flag is required. <<Eval trees: procedures>>= subroutine eval_node_init_block (node, name, type, var_def, var_list) type(eval_node_t), intent(out), target :: node type(string_t), intent(in) :: name integer, intent(in) :: type type(eval_node_t), intent(in), target :: var_def type(var_list_t), intent(in), target :: var_list node%type = EN_BLOCK node%tag = "var_def" node%var_name = name node%arg1 => var_def allocate (node%var_list) call node%var_list%link (var_list) if (var_def%type == EN_CONSTANT) then select case (type) case (V_LOG) call var_list_append_log (node%var_list, name, var_def%lval) case (V_INT) call var_list_append_int (node%var_list, name, var_def%ival) case (V_REAL) call var_list_append_real (node%var_list, name, var_def%rval) case (V_CMPLX) call var_list_append_cmplx (node%var_list, name, var_def%cval) case (V_PDG) call var_list_append_pdg_array & (node%var_list, name, var_def%aval) case (V_SEV) call var_list_append_subevt & (node%var_list, name, var_def%pval) case (V_STR) call var_list_append_string (node%var_list, name, var_def%sval) end select else select case (type) case (V_LOG); call var_list_append_log_ptr & (node%var_list, name, var_def%lval, var_def%value_is_known) case (V_INT); call var_list_append_int_ptr & (node%var_list, name, var_def%ival, var_def%value_is_known) case (V_REAL); call var_list_append_real_ptr & (node%var_list, name, var_def%rval, var_def%value_is_known) case (V_CMPLX); call var_list_append_cmplx_ptr & (node%var_list, name, var_def%cval, var_def%value_is_known) case (V_PDG); call var_list_append_pdg_array_ptr & (node%var_list, name, var_def%aval, var_def%value_is_known) case (V_SEV); call var_list_append_subevt_ptr & (node%var_list, name, var_def%pval, var_def%value_is_known) case (V_STR); call var_list_append_string_ptr & (node%var_list, name, var_def%sval, var_def%value_is_known) end select end if end subroutine eval_node_init_block @ %def eval_node_init_block @ Complete block initialization by assigning the expression to evaluate to [[arg0]]. <<Eval trees: procedures>>= subroutine eval_node_set_expr (node, arg, result_type) type(eval_node_t), intent(inout) :: node type(eval_node_t), intent(in), target :: arg integer, intent(in), optional :: result_type if (present (result_type)) then node%result_type = result_type else node%result_type = arg%result_type end if call eval_node_allocate_value (node) node%arg0 => arg end subroutine eval_node_set_expr @ %def eval_node_set_block_expr @ Initialize a conditional. There are three branches: the condition (evaluates to logical) and the two alternatives (evaluate both to the same arbitrary type). <<Eval trees: procedures>>= subroutine eval_node_init_conditional (node, result_type, cond, arg1, arg2) type(eval_node_t), intent(out) :: node integer, intent(in) :: result_type type(eval_node_t), intent(in), target :: cond, arg1, arg2 node%type = EN_CONDITIONAL node%tag = "cond" node%result_type = result_type call eval_node_allocate_value (node) node%arg0 => cond node%arg1 => arg1 node%arg2 => arg2 end subroutine eval_node_init_conditional @ %def eval_node_init_conditional @ Initialize a recording command (which evaluates to a logical constant). The first branch is the ID of the analysis object to be filled, the optional branches 1 to 4 are the values to be recorded. If the event-weight pointer is null, we record values with unit weight. Otherwise, we use the value pointed to as event weight. There can be up to four arguments which represent $x$, $y$, $\Delta y$, $\Delta x$. Therefore, this is the only node type that may fill four sub-nodes. <<Eval trees: procedures>>= subroutine eval_node_init_record_cmd & (node, event_weight, id, arg1, arg2, arg3, arg4) type(eval_node_t), intent(out) :: node real(default), pointer :: event_weight type(eval_node_t), intent(in), target :: id type(eval_node_t), intent(in), optional, target :: arg1, arg2, arg3, arg4 call eval_node_init_log (node, .true.) node%type = EN_RECORD_CMD node%rval => event_weight node%tag = "record_cmd" node%arg0 => id if (present (arg1)) then node%arg1 => arg1 if (present (arg2)) then node%arg2 => arg2 if (present (arg3)) then node%arg3 => arg3 if (present (arg4)) then node%arg4 => arg4 end if end if end if end if end subroutine eval_node_init_record_cmd @ %def eval_node_init_record_cmd @ Initialize a node for operations on subevents. The particle lists (one or two) are inserted as [[arg1]] and [[arg2]]. We allocated particle pointers as temporaries for iterating over particle lists. The procedure pointer which holds the function to evaluate for the subevents (e.g., combine, select) is also initialized. <<Eval trees: procedures>>= subroutine eval_node_init_prt_fun_unary (node, arg1, name, proc) type(eval_node_t), intent(out) :: node type(eval_node_t), intent(in), target :: arg1 type(string_t), intent(in) :: name procedure(unary_sev) :: proc node%type = EN_PRT_FUN_UNARY node%tag = name node%result_type = V_SEV call eval_node_allocate_value (node) node%arg1 => arg1 allocate (node%index, source = 0) allocate (node%prt1) node%op1_sev => proc end subroutine eval_node_init_prt_fun_unary subroutine eval_node_init_prt_fun_binary (node, arg1, arg2, name, proc) type(eval_node_t), intent(out) :: node type(eval_node_t), intent(in), target :: arg1, arg2 type(string_t), intent(in) :: name procedure(binary_sev) :: proc node%type = EN_PRT_FUN_BINARY node%tag = name node%result_type = V_SEV call eval_node_allocate_value (node) node%arg1 => arg1 node%arg2 => arg2 allocate (node%index, source = 0) allocate (node%prt1) allocate (node%prt2) node%op2_sev => proc end subroutine eval_node_init_prt_fun_binary @ %def eval_node_init_prt_fun_unary eval_node_init_prt_fun_binary @ Similar, but for particle-list functions that evaluate to a real value. <<Eval trees: procedures>>= subroutine eval_node_init_eval_fun_unary (node, arg1, name) type(eval_node_t), intent(out) :: node type(eval_node_t), intent(in), target :: arg1 type(string_t), intent(in) :: name node%type = EN_EVAL_FUN_UNARY node%tag = name node%result_type = V_REAL call eval_node_allocate_value (node) node%arg1 => arg1 allocate (node%index, source = 0) allocate (node%prt1) end subroutine eval_node_init_eval_fun_unary subroutine eval_node_init_eval_fun_binary (node, arg1, arg2, name) type(eval_node_t), intent(out) :: node type(eval_node_t), intent(in), target :: arg1, arg2 type(string_t), intent(in) :: name node%type = EN_EVAL_FUN_BINARY node%tag = name node%result_type = V_REAL call eval_node_allocate_value (node) node%arg1 => arg1 node%arg2 => arg2 allocate (node%index, source = 0) allocate (node%prt1) allocate (node%prt2) end subroutine eval_node_init_eval_fun_binary @ %def eval_node_init_eval_fun_unary eval_node_init_eval_fun_binary @ These are for particle-list functions that evaluate to a logical value. <<Eval trees: procedures>>= subroutine eval_node_init_log_fun_unary (node, arg1, name, proc) type(eval_node_t), intent(out) :: node type(eval_node_t), intent(in), target :: arg1 type(string_t), intent(in) :: name procedure(unary_cut) :: proc node%type = EN_LOG_FUN_UNARY node%tag = name node%result_type = V_LOG call eval_node_allocate_value (node) node%arg1 => arg1 allocate (node%index, source = 0) allocate (node%prt1) node%op1_cut => proc end subroutine eval_node_init_log_fun_unary subroutine eval_node_init_log_fun_binary (node, arg1, arg2, name, proc) type(eval_node_t), intent(out) :: node type(eval_node_t), intent(in), target :: arg1, arg2 type(string_t), intent(in) :: name procedure(binary_cut) :: proc node%type = EN_LOG_FUN_BINARY node%tag = name node%result_type = V_LOG call eval_node_allocate_value (node) node%arg1 => arg1 node%arg2 => arg2 allocate (node%index, source = 0) allocate (node%prt1) allocate (node%prt2) node%op2_cut => proc end subroutine eval_node_init_log_fun_binary @ %def eval_node_init_log_fun_unary eval_node_init_log_fun_binary @ These are for particle-list functions that evaluate to an integer value. <<Eval trees: procedures>>= subroutine eval_node_init_int_fun_unary (node, arg1, name, proc) type(eval_node_t), intent(out) :: node type(eval_node_t), intent(in), target :: arg1 type(string_t), intent(in) :: name procedure(unary_evi) :: proc node%type = EN_INT_FUN_UNARY node%tag = name node%result_type = V_INT call eval_node_allocate_value (node) node%arg1 => arg1 allocate (node%index, source = 0) allocate (node%prt1) node%op1_evi => proc end subroutine eval_node_init_int_fun_unary subroutine eval_node_init_int_fun_binary (node, arg1, arg2, name, proc) type(eval_node_t), intent(out) :: node type(eval_node_t), intent(in), target :: arg1, arg2 type(string_t), intent(in) :: name procedure(binary_evi) :: proc node%type = EN_INT_FUN_BINARY node%tag = name node%result_type = V_INT call eval_node_allocate_value (node) node%arg1 => arg1 node%arg2 => arg2 allocate (node%index, source = 0) allocate (node%prt1) allocate (node%prt2) node%op2_evi => proc end subroutine eval_node_init_int_fun_binary @ %def eval_node_init_int_fun_unary eval_node_init_int_fun_binary @ These are for particle-list functions that evaluate to a real value. <<Eval trees: procedures>>= subroutine eval_node_init_real_fun_unary (node, arg1, name, proc) type(eval_node_t), intent(out) :: node type(eval_node_t), intent(in), target :: arg1 type(string_t), intent(in) :: name procedure(unary_evr) :: proc node%type = EN_REAL_FUN_UNARY node%tag = name node%result_type = V_INT call eval_node_allocate_value (node) node%arg1 => arg1 allocate (node%index, source = 0) allocate (node%prt1) node%op1_evr => proc end subroutine eval_node_init_real_fun_unary subroutine eval_node_init_real_fun_binary (node, arg1, arg2, name, proc) type(eval_node_t), intent(out) :: node type(eval_node_t), intent(in), target :: arg1, arg2 type(string_t), intent(in) :: name procedure(binary_evr) :: proc node%type = EN_REAL_FUN_BINARY node%tag = name node%result_type = V_INT call eval_node_allocate_value (node) node%arg1 => arg1 node%arg2 => arg2 allocate (node%index, source = 0) allocate (node%prt1) allocate (node%prt2) node%op2_evr => proc end subroutine eval_node_init_real_fun_binary @ %def eval_node_init_real_fun_unary eval_node_init_real_fun_binary @ Initialize a node for a string formatting function (sprintf). <<Eval trees: procedures>>= subroutine eval_node_init_format_string (node, fmt, arg, name, n_args) type(eval_node_t), intent(out) :: node type(eval_node_t), pointer :: fmt, arg type(string_t), intent(in) :: name integer, intent(in) :: n_args node%type = EN_FORMAT_STR node%tag = name node%result_type = V_STR call eval_node_allocate_value (node) node%arg0 => fmt node%arg1 => arg allocate (node%ival) node%ival = n_args end subroutine eval_node_init_format_string @ %def eval_node_init_format_string @ If particle functions depend upon a condition (or an expression is evaluated), the observables that can be evaluated for the given particles have to be thrown on the local variable stack. This is done here. Each observable is initialized with the particle pointers which have been allocated for the node. The integer variable that is referred to by the [[Index]] pseudo-observable is always known when it is referred to. <<Eval trees: procedures>>= subroutine eval_node_set_observables (node, var_list) type(eval_node_t), intent(inout) :: node type(var_list_t), intent(in), target :: var_list logical, save, target :: known = .true. allocate (node%var_list) call node%var_list%link (var_list) allocate (node%index, source = 0) call var_list_append_int_ptr & (node%var_list, var_str ("Index"), node%index, known, intrinsic=.true.) if (.not. associated (node%prt2)) then call var_list_set_observables_unary & (node%var_list, node%prt1) else call var_list_set_observables_binary & (node%var_list, node%prt1, node%prt2) end if end subroutine eval_node_set_observables @ %def eval_node_set_observables @ \subsubsection{Output} <<Eval trees: eval node: TBP>>= procedure :: write => eval_node_write <<Eval trees: procedures>>= subroutine eval_node_write (node, unit, indent) class(eval_node_t), intent(in) :: node integer, intent(in), optional :: unit integer, intent(in), optional :: indent integer :: u, ind u = given_output_unit (unit); if (u < 0) return ind = 0; if (present (indent)) ind = indent write (u, "(A)", advance="no") repeat ("| ", ind) // "o " select case (node%type) case (EN_UNARY, EN_BINARY, EN_CONDITIONAL, & EN_PRT_FUN_UNARY, EN_PRT_FUN_BINARY, & EN_EVAL_FUN_UNARY, EN_EVAL_FUN_BINARY, & EN_LOG_FUN_UNARY, EN_LOG_FUN_BINARY, & EN_INT_FUN_UNARY, EN_INT_FUN_BINARY, & EN_REAL_FUN_UNARY, EN_REAL_FUN_BINARY) write (u, "(A)", advance="no") "[" // char (node%tag) // "] =" case (EN_CONSTANT) write (u, "(A)", advance="no") "[const] =" case (EN_VARIABLE) write (u, "(A)", advance="no") char (node%tag) // " =>" case (EN_OBS1_INT, EN_OBS2_INT, EN_OBS1_REAL, EN_OBS2_REAL) write (u, "(A)", advance="no") char (node%tag) // " =" case (EN_BLOCK) write (u, "(A)", advance="no") "[" // char (node%tag) // "]" // & char (node%var_name) // " [expr] = " case default write (u, "(A)", advance="no") "[???] =" end select select case (node%result_type) case (V_LOG) if (node%value_is_known) then if (node%lval) then write (u, "(1x,A)") "true" else write (u, "(1x,A)") "false" end if else write (u, "(1x,A)") "[unknown logical]" end if case (V_INT) if (node%value_is_known) then write (u, "(1x,I0)") node%ival else write (u, "(1x,A)") "[unknown integer]" end if case (V_REAL) if (node%value_is_known) then write (u, "(1x," // FMT_19 // ")") node%rval else write (u, "(1x,A)") "[unknown real]" end if case (V_CMPLX) if (node%value_is_known) then write (u, "(1x,'('," // FMT_19 // ",','," // & FMT_19 // ",')')") node%cval else write (u, "(1x,A)") "[unknown complex]" end if case (V_SEV) if (char (node%tag) == "@evt") then write (u, "(1x,A)") "[event subevent]" else if (node%value_is_known) then call subevt_write & (node%pval, unit, prefix = repeat ("| ", ind + 1)) else write (u, "(1x,A)") "[unknown subevent]" end if case (V_PDG) write (u, "(1x)", advance="no") call pdg_array_write (node%aval, u); write (u, *) case (V_STR) if (node%value_is_known) then write (u, "(A)") '"' // char (node%sval) // '"' else write (u, "(1x,A)") "[unknown string]" end if case default write (u, "(1x,A)") "[empty]" end select select case (node%type) case (EN_OBS1_INT, EN_OBS1_REAL) write (u, "(A,6x,A)", advance="no") repeat ("| ", ind), "prt1 =" call prt_write (node%prt1, unit) case (EN_OBS2_INT, EN_OBS2_REAL) write (u, "(A,6x,A)", advance="no") repeat ("| ", ind), "prt1 =" call prt_write (node%prt1, unit) write (u, "(A,6x,A)", advance="no") repeat ("| ", ind), "prt2 =" call prt_write (node%prt2, unit) end select end subroutine eval_node_write recursive subroutine eval_node_write_rec (node, unit, indent) type(eval_node_t), intent(in) :: node integer, intent(in), optional :: unit integer, intent(in), optional :: indent integer :: u, ind u = given_output_unit (unit); if (u < 0) return ind = 0; if (present (indent)) ind = indent call eval_node_write (node, unit, indent) select case (node%type) case (EN_UNARY) if (associated (node%arg0)) & call eval_node_write_rec (node%arg0, unit, ind+1) call eval_node_write_rec (node%arg1, unit, ind+1) case (EN_BINARY) if (associated (node%arg0)) & call eval_node_write_rec (node%arg0, unit, ind+1) call eval_node_write_rec (node%arg1, unit, ind+1) call eval_node_write_rec (node%arg2, unit, ind+1) case (EN_BLOCK) call eval_node_write_rec (node%arg1, unit, ind+1) call eval_node_write_rec (node%arg0, unit, ind+1) case (EN_CONDITIONAL) call eval_node_write_rec (node%arg0, unit, ind+1) call eval_node_write_rec (node%arg1, unit, ind+1) call eval_node_write_rec (node%arg2, unit, ind+1) case (EN_PRT_FUN_UNARY, EN_EVAL_FUN_UNARY, & EN_LOG_FUN_UNARY, EN_INT_FUN_UNARY, EN_REAL_FUN_UNARY) if (associated (node%arg0)) & call eval_node_write_rec (node%arg0, unit, ind+1) call eval_node_write_rec (node%arg1, unit, ind+1) case (EN_PRT_FUN_BINARY, EN_EVAL_FUN_BINARY, & EN_LOG_FUN_BINARY, EN_INT_FUN_BINARY, EN_REAL_FUN_BINARY) if (associated (node%arg0)) & call eval_node_write_rec (node%arg0, unit, ind+1) call eval_node_write_rec (node%arg1, unit, ind+1) call eval_node_write_rec (node%arg2, unit, ind+1) case (EN_RECORD_CMD) if (associated (node%arg1)) then call eval_node_write_rec (node%arg1, unit, ind+1) if (associated (node%arg2)) then call eval_node_write_rec (node%arg2, unit, ind+1) if (associated (node%arg3)) then call eval_node_write_rec (node%arg3, unit, ind+1) if (associated (node%arg4)) then call eval_node_write_rec (node%arg4, unit, ind+1) end if end if end if end if end select end subroutine eval_node_write_rec @ %def eval_node_write eval_node_write_rec @ \subsection{Operation types} For the operations associated to evaluation tree nodes, we define abstract interfaces for all cases. Particles/subevents are transferred by-reference, to avoid unnecessary copying. Therefore, subroutines instead of functions. <<Eval trees: interfaces>>= abstract interface logical function unary_log (arg) import eval_node_t type(eval_node_t), intent(in) :: arg end function unary_log end interface abstract interface integer function unary_int (arg) import eval_node_t type(eval_node_t), intent(in) :: arg end function unary_int end interface abstract interface real(default) function unary_real (arg) import default import eval_node_t type(eval_node_t), intent(in) :: arg end function unary_real end interface abstract interface complex(default) function unary_cmplx (arg) import default import eval_node_t type(eval_node_t), intent(in) :: arg end function unary_cmplx end interface abstract interface subroutine unary_pdg (pdg_array, arg) import pdg_array_t import eval_node_t type(pdg_array_t), intent(out) :: pdg_array type(eval_node_t), intent(in) :: arg end subroutine unary_pdg end interface abstract interface subroutine unary_sev (subevt, arg, arg0) import subevt_t import eval_node_t type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: arg type(eval_node_t), intent(inout), optional :: arg0 end subroutine unary_sev end interface abstract interface subroutine unary_str (string, arg) import string_t import eval_node_t type(string_t), intent(out) :: string type(eval_node_t), intent(in) :: arg end subroutine unary_str end interface abstract interface logical function unary_cut (arg1, arg0) import eval_node_t type(eval_node_t), intent(in) :: arg1 type(eval_node_t), intent(inout) :: arg0 end function unary_cut end interface abstract interface subroutine unary_evi (ival, arg1, arg0) import eval_node_t integer, intent(out) :: ival type(eval_node_t), intent(in) :: arg1 type(eval_node_t), intent(inout), optional :: arg0 end subroutine unary_evi end interface abstract interface subroutine unary_evr (rval, arg1, arg0) import eval_node_t, default real(default), intent(out) :: rval type(eval_node_t), intent(in) :: arg1 type(eval_node_t), intent(inout), optional :: arg0 end subroutine unary_evr end interface abstract interface logical function binary_log (arg1, arg2) import eval_node_t type(eval_node_t), intent(in) :: arg1, arg2 end function binary_log end interface abstract interface integer function binary_int (arg1, arg2) import eval_node_t type(eval_node_t), intent(in) :: arg1, arg2 end function binary_int end interface abstract interface real(default) function binary_real (arg1, arg2) import default import eval_node_t type(eval_node_t), intent(in) :: arg1, arg2 end function binary_real end interface abstract interface complex(default) function binary_cmplx (arg1, arg2) import default import eval_node_t type(eval_node_t), intent(in) :: arg1, arg2 end function binary_cmplx end interface abstract interface subroutine binary_pdg (pdg_array, arg1, arg2) import pdg_array_t import eval_node_t type(pdg_array_t), intent(out) :: pdg_array type(eval_node_t), intent(in) :: arg1, arg2 end subroutine binary_pdg end interface abstract interface subroutine binary_sev (subevt, arg1, arg2, arg0) import subevt_t import eval_node_t type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: arg1, arg2 type(eval_node_t), intent(inout), optional :: arg0 end subroutine binary_sev end interface abstract interface subroutine binary_str (string, arg1, arg2) import string_t import eval_node_t type(string_t), intent(out) :: string type(eval_node_t), intent(in) :: arg1, arg2 end subroutine binary_str end interface abstract interface logical function binary_cut (arg1, arg2, arg0) import eval_node_t type(eval_node_t), intent(in) :: arg1, arg2 type(eval_node_t), intent(inout) :: arg0 end function binary_cut end interface abstract interface subroutine binary_evi (ival, arg1, arg2, arg0) import eval_node_t integer, intent(out) :: ival type(eval_node_t), intent(in) :: arg1, arg2 type(eval_node_t), intent(inout), optional :: arg0 end subroutine binary_evi end interface abstract interface subroutine binary_evr (rval, arg1, arg2, arg0) import eval_node_t, default real(default), intent(out) :: rval type(eval_node_t), intent(in) :: arg1, arg2 type(eval_node_t), intent(inout), optional :: arg0 end subroutine binary_evr end interface @ The following subroutines set the procedure pointer: <<Eval trees: procedures>>= subroutine eval_node_set_op1_log (en, op) type(eval_node_t), intent(inout) :: en procedure(unary_log) :: op en%op1_log => op end subroutine eval_node_set_op1_log subroutine eval_node_set_op1_int (en, op) type(eval_node_t), intent(inout) :: en procedure(unary_int) :: op en%op1_int => op end subroutine eval_node_set_op1_int subroutine eval_node_set_op1_real (en, op) type(eval_node_t), intent(inout) :: en procedure(unary_real) :: op en%op1_real => op end subroutine eval_node_set_op1_real subroutine eval_node_set_op1_cmplx (en, op) type(eval_node_t), intent(inout) :: en procedure(unary_cmplx) :: op en%op1_cmplx => op end subroutine eval_node_set_op1_cmplx subroutine eval_node_set_op1_pdg (en, op) type(eval_node_t), intent(inout) :: en procedure(unary_pdg) :: op en%op1_pdg => op end subroutine eval_node_set_op1_pdg subroutine eval_node_set_op1_sev (en, op) type(eval_node_t), intent(inout) :: en procedure(unary_sev) :: op en%op1_sev => op end subroutine eval_node_set_op1_sev subroutine eval_node_set_op1_str (en, op) type(eval_node_t), intent(inout) :: en procedure(unary_str) :: op en%op1_str => op end subroutine eval_node_set_op1_str subroutine eval_node_set_op2_log (en, op) type(eval_node_t), intent(inout) :: en procedure(binary_log) :: op en%op2_log => op end subroutine eval_node_set_op2_log subroutine eval_node_set_op2_int (en, op) type(eval_node_t), intent(inout) :: en procedure(binary_int) :: op en%op2_int => op end subroutine eval_node_set_op2_int subroutine eval_node_set_op2_real (en, op) type(eval_node_t), intent(inout) :: en procedure(binary_real) :: op en%op2_real => op end subroutine eval_node_set_op2_real subroutine eval_node_set_op2_cmplx (en, op) type(eval_node_t), intent(inout) :: en procedure(binary_cmplx) :: op en%op2_cmplx => op end subroutine eval_node_set_op2_cmplx subroutine eval_node_set_op2_pdg (en, op) type(eval_node_t), intent(inout) :: en procedure(binary_pdg) :: op en%op2_pdg => op end subroutine eval_node_set_op2_pdg subroutine eval_node_set_op2_sev (en, op) type(eval_node_t), intent(inout) :: en procedure(binary_sev) :: op en%op2_sev => op end subroutine eval_node_set_op2_sev subroutine eval_node_set_op2_str (en, op) type(eval_node_t), intent(inout) :: en procedure(binary_str) :: op en%op2_str => op end subroutine eval_node_set_op2_str @ %def eval_node_set_operator @ \subsection{Specific operators} Our expression syntax contains all Fortran functions that make sense. These functions have to be provided in a form that they can be used in procedures pointers, and have the abstract interfaces above. For some intrinsic functions, we could use specific versions provided by Fortran directly. However, this has two drawbacks: (i) We should work with the values instead of the eval-nodes as argument, which complicates the interface; (ii) more importantly, the [[default]] real type need not be equivalent to double precision. This would, at least, introduce system dependencies. Finally, for operators there are no specific versions. Therefore, we write wrappers for all possible functions, at the expense of some overhead. \subsubsection{Binary numerical functions} <<Eval trees: procedures>>= integer function add_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival + en2%ival end function add_ii real(default) function add_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival + en2%rval end function add_ir complex(default) function add_ic (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival + en2%cval end function add_ic real(default) function add_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval + en2%ival end function add_ri complex(default) function add_ci (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval + en2%ival end function add_ci complex(default) function add_cr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval + en2%rval end function add_cr complex(default) function add_rc (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval + en2%cval end function add_rc real(default) function add_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval + en2%rval end function add_rr complex(default) function add_cc (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval + en2%cval end function add_cc integer function sub_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival - en2%ival end function sub_ii real(default) function sub_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival - en2%rval end function sub_ir real(default) function sub_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval - en2%ival end function sub_ri complex(default) function sub_ic (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival - en2%cval end function sub_ic complex(default) function sub_ci (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval - en2%ival end function sub_ci complex(default) function sub_cr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval - en2%rval end function sub_cr complex(default) function sub_rc (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval - en2%cval end function sub_rc real(default) function sub_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval - en2%rval end function sub_rr complex(default) function sub_cc (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval - en2%cval end function sub_cc integer function mul_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival * en2%ival end function mul_ii real(default) function mul_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival * en2%rval end function mul_ir real(default) function mul_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval * en2%ival end function mul_ri complex(default) function mul_ic (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival * en2%cval end function mul_ic complex(default) function mul_ci (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval * en2%ival end function mul_ci complex(default) function mul_rc (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval * en2%cval end function mul_rc complex(default) function mul_cr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval * en2%rval end function mul_cr real(default) function mul_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval * en2%rval end function mul_rr complex(default) function mul_cc (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval * en2%cval end function mul_cc integer function div_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (en2%ival == 0) then if (en1%ival >= 0) then call msg_warning ("division by zero: " // int2char (en1%ival) // & " / 0 ; result set to 0") else call msg_warning ("division by zero: (" // int2char (en1%ival) // & ") / 0 ; result set to 0") end if y = 0 return end if y = en1%ival / en2%ival end function div_ii real(default) function div_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival / en2%rval end function div_ir real(default) function div_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval / en2%ival end function div_ri complex(default) function div_ic (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival / en2%cval end function div_ic complex(default) function div_ci (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval / en2%ival end function div_ci complex(default) function div_rc (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval / en2%cval end function div_rc complex(default) function div_cr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval / en2%rval end function div_cr real(default) function div_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval / en2%rval end function div_rr complex(default) function div_cc (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval / en2%cval end function div_cc integer function pow_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 integer :: a, b real(default) :: rres a = en1%ival b = en2%ival if ((a == 0) .and. (b < 0)) then call msg_warning ("division by zero: " // int2char (a) // & " ^ (" // int2char (b) // ") ; result set to 0") y = 0 return end if rres = real(a, default) ** b y = rres if (real(y, default) /= rres) then if (b < 0) then call msg_warning ("result of all-integer operation " // & int2char (a) // " ^ (" // int2char (b) // & ") has been trucated to "// int2char (y), & [ var_str ("Chances are that you want to use " // & "reals instead of integers at this point.") ]) else call msg_warning ("integer overflow in " // int2char (a) // & " ^ " // int2char (b) // " ; result is " // int2char (y), & [ var_str ("Using reals instead of integers might help.")]) end if end if end function pow_ii real(default) function pow_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval ** en2%ival end function pow_ri complex(default) function pow_ci (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval ** en2%ival end function pow_ci real(default) function pow_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival ** en2%rval end function pow_ir real(default) function pow_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval ** en2%rval end function pow_rr complex(default) function pow_cr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval ** en2%rval end function pow_cr complex(default) function pow_ic (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival ** en2%cval end function pow_ic complex(default) function pow_rc (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval ** en2%cval end function pow_rc complex(default) function pow_cc (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%cval ** en2%cval end function pow_cc integer function max_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = max (en1%ival, en2%ival) end function max_ii real(default) function max_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = max (real (en1%ival, default), en2%rval) end function max_ir real(default) function max_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = max (en1%rval, real (en2%ival, default)) end function max_ri real(default) function max_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = max (en1%rval, en2%rval) end function max_rr integer function min_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = min (en1%ival, en2%ival) end function min_ii real(default) function min_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = min (real (en1%ival, default), en2%rval) end function min_ir real(default) function min_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = min (en1%rval, real (en2%ival, default)) end function min_ri real(default) function min_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = min (en1%rval, en2%rval) end function min_rr integer function mod_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = mod (en1%ival, en2%ival) end function mod_ii real(default) function mod_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = mod (real (en1%ival, default), en2%rval) end function mod_ir real(default) function mod_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = mod (en1%rval, real (en2%ival, default)) end function mod_ri real(default) function mod_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = mod (en1%rval, en2%rval) end function mod_rr integer function modulo_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = modulo (en1%ival, en2%ival) end function modulo_ii real(default) function modulo_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = modulo (real (en1%ival, default), en2%rval) end function modulo_ir real(default) function modulo_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = modulo (en1%rval, real (en2%ival, default)) end function modulo_ri real(default) function modulo_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = modulo (en1%rval, en2%rval) end function modulo_rr @ \subsubsection{Unary numeric functions} <<Eval trees: procedures>>= real(default) function real_i (en) result (y) type(eval_node_t), intent(in) :: en y = en%ival end function real_i real(default) function real_c (en) result (y) type(eval_node_t), intent(in) :: en y = en%cval end function real_c integer function int_r (en) result (y) type(eval_node_t), intent(in) :: en y = en%rval end function int_r complex(default) function cmplx_i (en) result (y) type(eval_node_t), intent(in) :: en y = en%ival end function cmplx_i integer function int_c (en) result (y) type(eval_node_t), intent(in) :: en y = en%cval end function int_c complex(default) function cmplx_r (en) result (y) type(eval_node_t), intent(in) :: en y = en%rval end function cmplx_r integer function nint_r (en) result (y) type(eval_node_t), intent(in) :: en y = nint (en%rval) end function nint_r integer function floor_r (en) result (y) type(eval_node_t), intent(in) :: en y = floor (en%rval) end function floor_r integer function ceiling_r (en) result (y) type(eval_node_t), intent(in) :: en y = ceiling (en%rval) end function ceiling_r integer function neg_i (en) result (y) type(eval_node_t), intent(in) :: en y = - en%ival end function neg_i real(default) function neg_r (en) result (y) type(eval_node_t), intent(in) :: en y = - en%rval end function neg_r complex(default) function neg_c (en) result (y) type(eval_node_t), intent(in) :: en y = - en%cval end function neg_c integer function abs_i (en) result (y) type(eval_node_t), intent(in) :: en y = abs (en%ival) end function abs_i real(default) function abs_r (en) result (y) type(eval_node_t), intent(in) :: en y = abs (en%rval) end function abs_r real(default) function abs_c (en) result (y) type(eval_node_t), intent(in) :: en y = abs (en%cval) end function abs_c integer function conjg_i (en) result (y) type(eval_node_t), intent(in) :: en y = en%ival end function conjg_i real(default) function conjg_r (en) result (y) type(eval_node_t), intent(in) :: en y = en%rval end function conjg_r complex(default) function conjg_c (en) result (y) type(eval_node_t), intent(in) :: en y = conjg (en%cval) end function conjg_c integer function sgn_i (en) result (y) type(eval_node_t), intent(in) :: en y = sign (1, en%ival) end function sgn_i real(default) function sgn_r (en) result (y) type(eval_node_t), intent(in) :: en y = sign (1._default, en%rval) end function sgn_r real(default) function sqrt_r (en) result (y) type(eval_node_t), intent(in) :: en y = sqrt (en%rval) end function sqrt_r real(default) function exp_r (en) result (y) type(eval_node_t), intent(in) :: en y = exp (en%rval) end function exp_r real(default) function log_r (en) result (y) type(eval_node_t), intent(in) :: en y = log (en%rval) end function log_r real(default) function log10_r (en) result (y) type(eval_node_t), intent(in) :: en y = log10 (en%rval) end function log10_r complex(default) function sqrt_c (en) result (y) type(eval_node_t), intent(in) :: en y = sqrt (en%cval) end function sqrt_c complex(default) function exp_c (en) result (y) type(eval_node_t), intent(in) :: en y = exp (en%cval) end function exp_c complex(default) function log_c (en) result (y) type(eval_node_t), intent(in) :: en y = log (en%cval) end function log_c real(default) function sin_r (en) result (y) type(eval_node_t), intent(in) :: en y = sin (en%rval) end function sin_r real(default) function cos_r (en) result (y) type(eval_node_t), intent(in) :: en y = cos (en%rval) end function cos_r real(default) function tan_r (en) result (y) type(eval_node_t), intent(in) :: en y = tan (en%rval) end function tan_r real(default) function asin_r (en) result (y) type(eval_node_t), intent(in) :: en y = asin (en%rval) end function asin_r real(default) function acos_r (en) result (y) type(eval_node_t), intent(in) :: en y = acos (en%rval) end function acos_r real(default) function atan_r (en) result (y) type(eval_node_t), intent(in) :: en y = atan (en%rval) end function atan_r complex(default) function sin_c (en) result (y) type(eval_node_t), intent(in) :: en y = sin (en%cval) end function sin_c complex(default) function cos_c (en) result (y) type(eval_node_t), intent(in) :: en y = cos (en%cval) end function cos_c real(default) function sinh_r (en) result (y) type(eval_node_t), intent(in) :: en y = sinh (en%rval) end function sinh_r real(default) function cosh_r (en) result (y) type(eval_node_t), intent(in) :: en y = cosh (en%rval) end function cosh_r real(default) function tanh_r (en) result (y) type(eval_node_t), intent(in) :: en y = tanh (en%rval) end function tanh_r real(default) function asinh_r (en) result (y) type(eval_node_t), intent(in) :: en y = asinh (en%rval) end function asinh_r real(default) function acosh_r (en) result (y) type(eval_node_t), intent(in) :: en y = acosh (en%rval) end function acosh_r real(default) function atanh_r (en) result (y) type(eval_node_t), intent(in) :: en y = atanh (en%rval) end function atanh_r @ \subsubsection{Binary logical functions} Logical expressions: <<Eval trees: procedures>>= logical function ignore_first_ll (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en2%lval end function ignore_first_ll logical function or_ll (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%lval .or. en2%lval end function or_ll logical function and_ll (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%lval .and. en2%lval end function and_ll @ Comparisons: <<Eval trees: procedures>>= logical function comp_lt_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival < en2%ival end function comp_lt_ii logical function comp_lt_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival < en2%rval end function comp_lt_ir logical function comp_lt_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval < en2%ival end function comp_lt_ri logical function comp_lt_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval < en2%rval end function comp_lt_rr logical function comp_gt_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival > en2%ival end function comp_gt_ii logical function comp_gt_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival > en2%rval end function comp_gt_ir logical function comp_gt_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval > en2%ival end function comp_gt_ri logical function comp_gt_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval > en2%rval end function comp_gt_rr logical function comp_le_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival <= en2%ival end function comp_le_ii logical function comp_le_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival <= en2%rval end function comp_le_ir logical function comp_le_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval <= en2%ival end function comp_le_ri logical function comp_le_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval <= en2%rval end function comp_le_rr logical function comp_ge_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival >= en2%ival end function comp_ge_ii logical function comp_ge_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival >= en2%rval end function comp_ge_ir logical function comp_ge_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval >= en2%ival end function comp_ge_ri logical function comp_ge_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval >= en2%rval end function comp_ge_rr logical function comp_eq_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival == en2%ival end function comp_eq_ii logical function comp_eq_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival == en2%rval end function comp_eq_ir logical function comp_eq_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval == en2%ival end function comp_eq_ri logical function comp_eq_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval == en2%rval end function comp_eq_rr logical function comp_eq_ss (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%sval == en2%sval end function comp_eq_ss logical function comp_ne_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival /= en2%ival end function comp_ne_ii logical function comp_ne_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%ival /= en2%rval end function comp_ne_ir logical function comp_ne_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval /= en2%ival end function comp_ne_ri logical function comp_ne_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%rval /= en2%rval end function comp_ne_rr logical function comp_ne_ss (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 y = en1%sval /= en2%sval end function comp_ne_ss @ Comparisons with tolerance: <<Eval trees: procedures>>= logical function comp_se_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = abs (en1%ival - en2%ival) <= en1%tolerance else y = en1%ival == en2%ival end if end function comp_se_ii logical function comp_se_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = abs (en1%rval - en2%ival) <= en1%tolerance else y = en1%rval == en2%ival end if end function comp_se_ri logical function comp_se_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = abs (en1%ival - en2%rval) <= en1%tolerance else y = en1%ival == en2%rval end if end function comp_se_ir logical function comp_se_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = abs (en1%rval - en2%rval) <= en1%tolerance else y = en1%rval == en2%rval end if end function comp_se_rr logical function comp_ns_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = abs (en1%ival - en2%ival) > en1%tolerance else y = en1%ival /= en2%ival end if end function comp_ns_ii logical function comp_ns_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = abs (en1%rval - en2%ival) > en1%tolerance else y = en1%rval /= en2%ival end if end function comp_ns_ri logical function comp_ns_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = abs (en1%ival - en2%rval) > en1%tolerance else y = en1%ival /= en2%rval end if end function comp_ns_ir logical function comp_ns_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = abs (en1%rval - en2%rval) > en1%tolerance else y = en1%rval /= en2%rval end if end function comp_ns_rr logical function comp_ls_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%ival <= en2%ival + en1%tolerance else y = en1%ival <= en2%ival end if end function comp_ls_ii logical function comp_ls_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%rval <= en2%ival + en1%tolerance else y = en1%rval <= en2%ival end if end function comp_ls_ri logical function comp_ls_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%ival <= en2%rval + en1%tolerance else y = en1%ival <= en2%rval end if end function comp_ls_ir logical function comp_ls_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%rval <= en2%rval + en1%tolerance else y = en1%rval <= en2%rval end if end function comp_ls_rr logical function comp_ll_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%ival < en2%ival - en1%tolerance else y = en1%ival < en2%ival end if end function comp_ll_ii logical function comp_ll_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%rval < en2%ival - en1%tolerance else y = en1%rval < en2%ival end if end function comp_ll_ri logical function comp_ll_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%ival < en2%rval - en1%tolerance else y = en1%ival < en2%rval end if end function comp_ll_ir logical function comp_ll_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%rval < en2%rval - en1%tolerance else y = en1%rval < en2%rval end if end function comp_ll_rr logical function comp_gs_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%ival >= en2%ival - en1%tolerance else y = en1%ival >= en2%ival end if end function comp_gs_ii logical function comp_gs_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%rval >= en2%ival - en1%tolerance else y = en1%rval >= en2%ival end if end function comp_gs_ri logical function comp_gs_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%ival >= en2%rval - en1%tolerance else y = en1%ival >= en2%rval end if end function comp_gs_ir logical function comp_gs_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%rval >= en2%rval - en1%tolerance else y = en1%rval >= en2%rval end if end function comp_gs_rr logical function comp_gg_ii (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%ival > en2%ival + en1%tolerance else y = en1%ival > en2%ival end if end function comp_gg_ii logical function comp_gg_ri (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%rval > en2%ival + en1%tolerance else y = en1%rval > en2%ival end if end function comp_gg_ri logical function comp_gg_ir (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%ival > en2%rval + en1%tolerance else y = en1%ival > en2%rval end if end function comp_gg_ir logical function comp_gg_rr (en1, en2) result (y) type(eval_node_t), intent(in) :: en1, en2 if (associated (en1%tolerance)) then y = en1%rval > en2%rval + en1%tolerance else y = en1%rval > en2%rval end if end function comp_gg_rr @ \subsubsection{Unary logical functions} <<Eval trees: procedures>>= logical function not_l (en) result (y) type(eval_node_t), intent(in) :: en y = .not. en%lval end function not_l @ \subsubsection{Unary PDG-array functions} Make a PDG-array object from an integer. <<Eval trees: procedures>>= subroutine pdg_i (pdg_array, en) type(pdg_array_t), intent(out) :: pdg_array type(eval_node_t), intent(in) :: en pdg_array = en%ival end subroutine pdg_i @ \subsubsection{Binary PDG-array functions} Concatenate two PDG-array objects. <<Eval trees: procedures>>= subroutine concat_cc (pdg_array, en1, en2) type(pdg_array_t), intent(out) :: pdg_array type(eval_node_t), intent(in) :: en1, en2 pdg_array = en1%aval // en2%aval end subroutine concat_cc @ \subsubsection{Unary particle-list functions} Combine all particles of the first argument. If [[en0]] is present, create a mask which is true only for those particles that pass the test. <<Eval trees: procedures>>= subroutine collect_p (subevt, en1, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask1 integer :: n, i n = subevt_get_length (en1%pval) allocate (mask1 (n)) if (present (en0)) then do i = 1, n en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) mask1(i) = en0%lval end do else mask1 = .true. end if call subevt_collect (subevt, en1%pval, mask1) end subroutine collect_p @ %def collect_p @ Cluster the particles of the first argument. If [[en0]] is present, create a mask which is true only for those particles that pass the test. <<Eval trees: procedures>>= subroutine cluster_p (subevt, en1, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask1 integer :: n, i !!! Should not be initialized for every event type(jet_definition_t) :: jet_def logical :: keep_jets, exclusive call jet_def%init (en1%jet_algorithm, en1%jet_r, en1%jet_p, en1%jet_ycut) n = subevt_get_length (en1%pval) allocate (mask1 (n)) if (present (en0)) then do i = 1, n en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) mask1(i) = en0%lval end do else mask1 = .true. end if if (associated (en1%var_list)) then keep_jets = en1%var_list%get_lval (var_str("?keep_flavors_when_clustering")) else keep_jets = .false. end if exclusive = .false. select case (en1%jet_algorithm) case (ee_kt_algorithm) exclusive = .true. case (ee_genkt_algorithm) if (en1%jet_r > Pi) exclusive = .true. end select call subevt_cluster (subevt, en1%pval, en1%jet_dcut, mask1, & jet_def, keep_jets, exclusive) call jet_def%final () end subroutine cluster_p @ %def cluster_p @ Select all particles of the first argument. If [[en0]] is present, create a mask which is true only for those particles that pass the test. <<Eval trees: procedures>>= subroutine select_p (subevt, en1, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask1 integer :: n, i n = subevt_get_length (en1%pval) allocate (mask1 (n)) if (present (en0)) then do i = 1, subevt_get_length (en1%pval) en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) mask1(i) = en0%lval end do else mask1 = .true. end if call subevt_select (subevt, en1%pval, mask1) end subroutine select_p @ %def select_p [[select_b_jet_p]], [[select_non_b_jet_p]], [[select_c_jet_p]], and [[select_light_jet_p]] are special selection function acting on a subevent of combined particles (jets) and result in a list of $b$ jets, non-$b$ jets (i.e. $c$ and light jets), $c$ jets, and light jets, respectively. <<Eval trees: procedures>>= subroutine select_b_jet_p (subevt, en1, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask1 integer :: n, i n = subevt_get_length (en1%pval) allocate (mask1 (n)) do i = 1, subevt_get_length (en1%pval) mask1(i) = prt_is_b_jet (subevt_get_prt (en1%pval, i)) if (present (en0)) then en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) mask1(i) = en0%lval .and. mask1(i) end if end do call subevt_select (subevt, en1%pval, mask1) end subroutine select_b_jet_p @ %def select_b_jet_p <<Eval trees: procedures>>= subroutine select_non_b_jet_p (subevt, en1, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask1 integer :: n, i n = subevt_get_length (en1%pval) allocate (mask1 (n)) do i = 1, subevt_get_length (en1%pval) mask1(i) = .not. prt_is_b_jet (subevt_get_prt (en1%pval, i)) if (present (en0)) then en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) mask1(i) = en0%lval .and. mask1(i) end if end do call subevt_select (subevt, en1%pval, mask1) end subroutine select_non_b_jet_p @ %def select_non_b_jet_p <<Eval trees: procedures>>= subroutine select_c_jet_p (subevt, en1, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask1 integer :: n, i n = subevt_get_length (en1%pval) allocate (mask1 (n)) do i = 1, subevt_get_length (en1%pval) mask1(i) = .not. prt_is_b_jet (subevt_get_prt (en1%pval, i)) & .and. prt_is_c_jet (subevt_get_prt (en1%pval, i)) if (present (en0)) then en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) mask1(i) = en0%lval .and. mask1(i) end if end do call subevt_select (subevt, en1%pval, mask1) end subroutine select_c_jet_p @ %def select_c_jet_p <<Eval trees: procedures>>= subroutine select_light_jet_p (subevt, en1, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask1 integer :: n, i n = subevt_get_length (en1%pval) allocate (mask1 (n)) do i = 1, subevt_get_length (en1%pval) mask1(i) = .not. prt_is_b_jet (subevt_get_prt (en1%pval, i)) & .and. .not. prt_is_c_jet (subevt_get_prt (en1%pval, i)) if (present (en0)) then en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) mask1(i) = en0%lval .and. mask1(i) end if end do call subevt_select (subevt, en1%pval, mask1) end subroutine select_light_jet_p @ %def select_light_jet_p @ Extract the particle with index given by [[en0]] from the argument list. Negative indices count from the end. If [[en0]] is absent, extract the first particle. The result is a list with a single entry, or no entries if the original list was empty or if the index is out of range. This function has no counterpart with two arguments. <<Eval trees: procedures>>= subroutine extract_p (subevt, en1, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout), optional :: en0 integer :: index if (present (en0)) then call eval_node_evaluate (en0) select case (en0%result_type) case (V_INT); index = en0%ival case default call eval_node_write (en0) call msg_fatal (" Index parameter of 'extract' must be integer.") end select else index = 1 end if call subevt_extract (subevt, en1%pval, index) end subroutine extract_p @ %def extract_p @ Sort the subevent according to the result of evaluating [[en0]]. If [[en0]] is absent, sort by default method (PDG code, particles before antiparticles). <<Eval trees: procedures>>= subroutine sort_p (subevt, en1, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout), optional :: en0 integer, dimension(:), allocatable :: ival real(default), dimension(:), allocatable :: rval integer :: i, n n = subevt_get_length (en1%pval) if (present (en0)) then select case (en0%result_type) case (V_INT); allocate (ival (n)) case (V_REAL); allocate (rval (n)) end select do i = 1, n en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) select case (en0%result_type) case (V_INT); ival(i) = en0%ival case (V_REAL); rval(i) = en0%rval end select end do select case (en0%result_type) case (V_INT); call subevt_sort (subevt, en1%pval, ival) case (V_REAL); call subevt_sort (subevt, en1%pval, rval) end select else call subevt_sort (subevt, en1%pval) end if end subroutine sort_p @ %def sort_p @ The following functions return a logical value. [[all]] evaluates to true if the condition [[en0]] is true for all elements of the subevent. [[any]] and [[no]] are analogous. <<Eval trees: procedures>>= function all_p (en1, en0) result (lval) logical :: lval type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout) :: en0 integer :: i, n n = subevt_get_length (en1%pval) lval = .true. do i = 1, n en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) lval = en0%lval if (.not. lval) exit end do end function all_p function any_p (en1, en0) result (lval) logical :: lval type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout) :: en0 integer :: i, n n = subevt_get_length (en1%pval) lval = .false. do i = 1, n en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) lval = en0%lval if (lval) exit end do end function any_p function no_p (en1, en0) result (lval) logical :: lval type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout) :: en0 integer :: i, n n = subevt_get_length (en1%pval) lval = .true. do i = 1, n en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) lval = .not. en0%lval if (lval) exit end do end function no_p @ %def all_p any_p no_p @ The following function returns an integer value, namely the number of particles for which the condition is true. If there is no condition, it returns simply the length of the subevent. <<Eval trees: procedures>>= subroutine count_a (ival, en1, en0) integer, intent(out) :: ival type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(inout), optional :: en0 integer :: i, n, count n = subevt_get_length (en1%pval) if (present (en0)) then count = 0 do i = 1, n en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) call eval_node_evaluate (en0) if (en0%lval) count = count + 1 end do ival = count else ival = n end if end subroutine count_a @ %def count_a @ \subsubsection{Binary particle-list functions} This joins two subevents, stored in the evaluation nodes [[en1]] and [[en2]]. If [[en0]] is also present, it amounts to a logical test returning true or false for every pair of particles. A particle of the second list gets a mask entry only if it passes the test for all particles of the first list. <<Eval trees: procedures>>= subroutine join_pp (subevt, en1, en2, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask2 integer :: i, j, n1, n2 n1 = subevt_get_length (en1%pval) n2 = subevt_get_length (en2%pval) allocate (mask2 (n2)) mask2 = .true. if (present (en0)) then do i = 1, n1 en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) do j = 1, n2 en0%prt2 = subevt_get_prt (en2%pval, j) call eval_node_evaluate (en0) mask2(j) = mask2(j) .and. en0%lval end do end do end if call subevt_join (subevt, en1%pval, en2%pval, mask2) end subroutine join_pp @ %def join_pp @ Combine two subevents, i.e., make a list of composite particles built from all possible particle pairs from the two lists. If [[en0]] is present, create a mask which is true only for those pairs that pass the test. <<Eval trees: procedures>>= subroutine combine_pp (subevt, en1, en2, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:,:), allocatable :: mask12 integer :: i, j, n1, n2 n1 = subevt_get_length (en1%pval) n2 = subevt_get_length (en2%pval) if (present (en0)) then allocate (mask12 (n1, n2)) do i = 1, n1 en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) do j = 1, n2 en0%prt2 = subevt_get_prt (en2%pval, j) call eval_node_evaluate (en0) mask12(i,j) = en0%lval end do end do call subevt_combine (subevt, en1%pval, en2%pval, mask12) else call subevt_combine (subevt, en1%pval, en2%pval) end if end subroutine combine_pp @ %def combine_pp @ Combine all particles of the first argument. If [[en0]] is present, create a mask which is true only for those particles that pass the test w.r.t. all particles in the second argument. If [[en0]] is absent, the second argument is ignored. <<Eval trees: procedures>>= subroutine collect_pp (subevt, en1, en2, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask1 integer :: i, j, n1, n2 n1 = subevt_get_length (en1%pval) n2 = subevt_get_length (en2%pval) allocate (mask1 (n1)) mask1 = .true. if (present (en0)) then do i = 1, n1 en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) do j = 1, n2 en0%prt2 = subevt_get_prt (en2%pval, j) call eval_node_evaluate (en0) mask1(i) = mask1(i) .and. en0%lval end do end do end if call subevt_collect (subevt, en1%pval, mask1) end subroutine collect_pp @ %def collect_pp @ Select all particles of the first argument. If [[en0]] is present, create a mask which is true only for those particles that pass the test w.r.t. all particles in the second argument. If [[en0]] is absent, the second argument is ignored, and the first argument is transferred unchanged. (This case is not very useful, of course.) <<Eval trees: procedures>>= subroutine select_pp (subevt, en1, en2, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask1 integer :: i, j, n1, n2 n1 = subevt_get_length (en1%pval) n2 = subevt_get_length (en2%pval) allocate (mask1 (n1)) mask1 = .true. if (present (en0)) then do i = 1, n1 en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) do j = 1, n2 en0%prt2 = subevt_get_prt (en2%pval, j) call eval_node_evaluate (en0) mask1(i) = mask1(i) .and. en0%lval end do end do end if call subevt_select (subevt, en1%pval, mask1) end subroutine select_pp @ %def select_pp @ Sort the first subevent according to the result of evaluating [[en0]]. From the second subevent, only the first element is taken as reference. If [[en0]] is absent, we sort by default method (PDG code, particles before antiparticles). <<Eval trees: procedures>>= subroutine sort_pp (subevt, en1, en2, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout), optional :: en0 integer, dimension(:), allocatable :: ival real(default), dimension(:), allocatable :: rval integer :: i, n1 n1 = subevt_get_length (en1%pval) if (present (en0)) then select case (en0%result_type) case (V_INT); allocate (ival (n1)) case (V_REAL); allocate (rval (n1)) end select do i = 1, n1 en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) en0%prt2 = subevt_get_prt (en2%pval, 1) call eval_node_evaluate (en0) select case (en0%result_type) case (V_INT); ival(i) = en0%ival case (V_REAL); rval(i) = en0%rval end select end do select case (en0%result_type) case (V_INT); call subevt_sort (subevt, en1%pval, ival) case (V_REAL); call subevt_sort (subevt, en1%pval, rval) end select else call subevt_sort (subevt, en1%pval) end if end subroutine sort_pp @ %def sort_pp @ The following functions return a logical value. [[all]] evaluates to true if the condition [[en0]] is true for all valid element pairs of both subevents. Invalid pairs (with common [[src]] entry) are ignored. [[any]] and [[no]] are analogous. <<Eval trees: procedures>>= function all_pp (en1, en2, en0) result (lval) logical :: lval type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout) :: en0 integer :: i, j, n1, n2 n1 = subevt_get_length (en1%pval) n2 = subevt_get_length (en2%pval) lval = .true. LOOP1: do i = 1, n1 en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) do j = 1, n2 en0%prt2 = subevt_get_prt (en2%pval, j) if (are_disjoint (en0%prt1, en0%prt2)) then call eval_node_evaluate (en0) lval = en0%lval if (.not. lval) exit LOOP1 end if end do end do LOOP1 end function all_pp function any_pp (en1, en2, en0) result (lval) logical :: lval type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout) :: en0 integer :: i, j, n1, n2 n1 = subevt_get_length (en1%pval) n2 = subevt_get_length (en2%pval) lval = .false. LOOP1: do i = 1, n1 en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) do j = 1, n2 en0%prt2 = subevt_get_prt (en2%pval, j) if (are_disjoint (en0%prt1, en0%prt2)) then call eval_node_evaluate (en0) lval = en0%lval if (lval) exit LOOP1 end if end do end do LOOP1 end function any_pp function no_pp (en1, en2, en0) result (lval) logical :: lval type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout) :: en0 integer :: i, j, n1, n2 n1 = subevt_get_length (en1%pval) n2 = subevt_get_length (en2%pval) lval = .true. LOOP1: do i = 1, n1 en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) do j = 1, n2 en0%prt2 = subevt_get_prt (en2%pval, j) if (are_disjoint (en0%prt1, en0%prt2)) then call eval_node_evaluate (en0) lval = .not. en0%lval if (lval) exit LOOP1 end if end do end do LOOP1 end function no_pp @ %def all_pp any_pp no_pp @ Recombine photons with the particles of the first argument. If [[en0]] is present, create a mask which is true only for those particles that pass the test. <<Eval trees: procedures>>= subroutine photon_recombination_pp (subevt, en1, en2, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1 type(eval_node_t), intent(in) :: en2 type(eval_node_t), intent(inout), optional :: en0 logical, dimension(:), allocatable :: mask1 type(prt_t), dimension(:), allocatable :: prt_gam0 type(prt_t) :: prt integer :: n1, i real(default) :: reco_r0 logical :: keep_flv reco_r0 = en1%photon_rec_r0 n1 = subevt_get_length (en1%pval) - if (n1 > 1) then - call msg_fatal ("Photon recombination is supported " // & - "only for single photons.") - end if - allocate (prt_gam0 (n1), mask1 (n1)) - do i = 1, n1 - prt_gam0(i) = subevt_get_prt (en1%pval, i) - end do - if (present (en0)) then + if (n1 == 0) then + subevt = en2%pval + else + if (n1 > 1) then + call msg_fatal ("Photon recombination is supported " // & + "only for single photons.") + end if + allocate (prt_gam0 (n1), mask1 (n1)) do i = 1, n1 - en0%index = i - en0%prt1 = prt_gam0(i) - if (.not. prt_is_photon (en0%prt1)) & - call msg_fatal ("Photon recombination can only " // & - "be applied to photons.") - call eval_node_evaluate (en0) - mask1(i) = en0%lval + prt_gam0(i) = subevt_get_prt (en1%pval, i) end do - else - mask1 = .true. - end if - do i = 1, subevt_get_length (en2%pval) - if (.not. prt_is_recombinable (subevt_get_prt (en2%pval, i))) then - call msg_fatal ("Only charged leptons and QCD partons " //& - "can be recombined with photons") + if (present (en0)) then + do i = 1, n1 + en0%index = i + en0%prt1 = prt_gam0(i) + if (.not. prt_is_photon (en0%prt1)) & + call msg_fatal ("Photon recombination can only " // & + "be applied to photons.") + call eval_node_evaluate (en0) + mask1(i) = en0%lval + end do + else + mask1 = .true. end if - end do - if (associated (en1%var_list)) then - keep_flv = en1%var_list%get_lval & - (var_str("?keep_flavors_when_recombining")) - else - keep_flv = .false. + do i = 1, subevt_get_length (en2%pval) + if (.not. prt_is_recombinable (subevt_get_prt (en2%pval, i))) then + call msg_fatal ("Only charged leptons and QCD partons " //& + "can be recombined with photons") + end if + end do + if (associated (en1%var_list)) then + keep_flv = en1%var_list%get_lval & + (var_str("?keep_flavors_when_recombining")) + else + keep_flv = .false. + end if + call subevt_recombine & + (subevt, en2%pval, prt_gam0(1), mask1(1), reco_r0, keep_flv) end if - call subevt_recombine & - (subevt,en2%pval, prt_gam0(1), mask1(1), reco_r0, keep_flv) end subroutine photon_recombination_pp @ %def photon_recombination_pp The conditional restriction encoded in the [[eval_node_t]] [[en_0]] is applied only to the photons from [[en1]], not to the objects being isolated from in [[en2]]. <<Eval trees: procedures>>= function photon_isolation_pp (en1, en2, en0) result (lval) logical :: lval type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout) :: en0 type(prt_t) :: prt type(prt_t), dimension(:), allocatable :: prt_gam0, prt_lep type(vector4_t), dimension(:), allocatable :: & p_gam0, p_lep0, p_lep, p_par integer :: i, j, n1, n2, n_par, n_lep, n_gam, n_delta real(default), dimension(:), allocatable :: delta_r, et_sum integer, dimension(:), allocatable :: index real(default) :: eps, iso_n, r0, pt_gam logical, dimension(:,:), allocatable :: photon_mask n1 = subevt_get_length (en1%pval) n2 = subevt_get_length (en2%pval) allocate (p_gam0 (n1), prt_gam0 (n1)) eps = en1%photon_iso_eps iso_n = en1%photon_iso_n r0 = en1%photon_iso_r0 lval = .true. do i = 1, n1 en0%index = i prt = subevt_get_prt (en1%pval, i) prt_gam0(i) = prt if (.not. prt_is_photon (prt_gam0(i))) & call msg_fatal ("Photon isolation can only " // & "be applied to photons.") p_gam0(i) = prt_get_momentum (prt_gam0(i)) en0%prt1 = prt call eval_node_evaluate (en0) lval = en0%lval if (.not. lval) return end do if (n1 == 0) then call msg_fatal ("Photon isolation applied on empty photon sample.") end if n_par = 0 n_lep = 0 n_gam = 0 do i = 1, n2 prt = subevt_get_prt (en2%pval, i) if (prt_is_parton (prt) .or. prt_is_clustered (prt)) then n_par = n_par + 1 end if if (prt_is_lepton (prt)) then n_lep = n_lep + 1 end if if (prt_is_photon (prt)) then n_gam = n_gam + 1 end if end do if (n_lep > 0 .and. n_gam == 0) then call msg_fatal ("Photon isolation from EM energy: photons " // & "have to be included.") end if if (n_lep > 0 .and. n_gam /= n1) then call msg_fatal ("Photon isolation: photon samples do not match.") end if allocate (p_par (n_par)) allocate (p_lep0 (n_gam+n_lep), prt_lep(n_gam+n_lep)) n_par = 0 n_lep = 0 do i = 1, n2 prt = subevt_get_prt (en2%pval, i) if (prt_is_parton (prt) .or. prt_is_clustered (prt)) then n_par = n_par + 1 p_par(n_par) = prt_get_momentum (prt) end if if (prt_is_lepton (prt) .or. prt_is_photon(prt)) then n_lep = n_lep + 1 prt_lep(n_lep) = prt p_lep0(n_lep) = prt_get_momentum (prt_lep(n_lep)) end if end do if (n_par > 0) then allocate (delta_r (n_par), index (n_par)) HADRON_ISOLATION: do i = 1, n1 pt_gam = transverse_part (p_gam0(i)) delta_r(1:n_par) = sort (eta_phi_distance (p_gam0(i), p_par(1:n_par))) index(1:n_par) = order (eta_phi_distance (p_gam0(i), p_par(1:n_par))) n_delta = count (delta_r < r0) allocate (et_sum(n_delta)) do j = 1, n_delta et_sum(j) = sum (transverse_part (p_par (index (1:j)))) if (.not. et_sum(j) <= & iso_chi_gamma (delta_r(j), r0, iso_n, eps, pt_gam)) then lval = .false. return end if end do deallocate (et_sum) end do HADRON_ISOLATION deallocate (delta_r) deallocate (index) end if if (n_lep > 0) then allocate (photon_mask(n1,n_lep)) do i = 1, n1 photon_mask(i,:) = .not. (prt_gam0(i) .match. prt_lep(:)) end do allocate (delta_r (n_lep-1), index (n_lep-1), p_lep(n_lep-1)) EM_ISOLATION: do i = 1, n1 pt_gam = transverse_part (p_gam0(i)) p_lep = pack (p_lep0, photon_mask(i,:)) delta_r(1:n_lep-1) = sort (eta_phi_distance (p_gam0(i), p_lep(1:n_lep-1))) index(1:n_lep-1) = order (eta_phi_distance (p_gam0(i), p_lep(1:n_lep-1))) n_delta = count (delta_r < r0) allocate (et_sum(n_delta)) do j = 1, n_delta et_sum(j) = sum (transverse_part (p_lep (index(1:j)))) if (.not. et_sum(j) <= & iso_chi_gamma (delta_r(j), r0, iso_n, eps, pt_gam)) then lval = .false. return end if end do deallocate (et_sum) end do EM_ISOLATION deallocate (delta_r) deallocate (index) end if contains function iso_chi_gamma (dr, r0_gam, n_gam, eps_gam, pt_gam) result (iso) real(default) :: iso real(default), intent(in) :: dr, r0_gam, n_gam, eps_gam, pt_gam iso = eps_gam * pt_gam if (.not. nearly_equal (abs(n_gam), 0._default)) then iso = iso * ((1._default - cos(dr)) / & (1._default - cos(r0_gam)))**abs(n_gam) end if end function iso_chi_gamma end function photon_isolation_pp @ %def photon_isolation_pp @ This function evaluates an observable for a pair of particles. From the two particle lists, we take the first pair without [[src]] overlap. If there is no valid pair, we revert the status of the value to unknown. <<Eval trees: procedures>>= subroutine eval_pp (en1, en2, en0, rval, is_known) type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout) :: en0 real(default), intent(out) :: rval logical, intent(out) :: is_known integer :: i, j, n1, n2 n1 = subevt_get_length (en1%pval) n2 = subevt_get_length (en2%pval) rval = 0 is_known = .false. LOOP1: do i = 1, n1 en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) do j = 1, n2 en0%prt2 = subevt_get_prt (en2%pval, j) if (are_disjoint (en0%prt1, en0%prt2)) then call eval_node_evaluate (en0) rval = en0%rval is_known = .true. exit LOOP1 end if end do end do LOOP1 end subroutine eval_pp @ %def eval_ppp @ The following function returns an integer value, namely the number of valid particle-pairs from both lists for which the condition is true. Invalid pairs (with common [[src]] entry) are ignored. If there is no condition, it returns the number of valid particle pairs. <<Eval trees: procedures>>= subroutine count_pp (ival, en1, en2, en0) integer, intent(out) :: ival type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout), optional :: en0 integer :: i, j, n1, n2, count n1 = subevt_get_length (en1%pval) n2 = subevt_get_length (en2%pval) if (present (en0)) then count = 0 do i = 1, n1 en0%index = i en0%prt1 = subevt_get_prt (en1%pval, i) do j = 1, n2 en0%prt2 = subevt_get_prt (en2%pval, j) if (are_disjoint (en0%prt1, en0%prt2)) then call eval_node_evaluate (en0) if (en0%lval) count = count + 1 end if end do end do else count = 0 do i = 1, n1 do j = 1, n2 if (are_disjoint (subevt_get_prt (en1%pval, i), & subevt_get_prt (en2%pval, j))) then count = count + 1 end if end do end do end if ival = count end subroutine count_pp @ %def count_pp @ This function makes up a subevent from the second argument which consists only of particles which match the PDG code array (first argument). <<Eval trees: procedures>>= subroutine select_pdg_ca (subevt, en1, en2, en0) type(subevt_t), intent(inout) :: subevt type(eval_node_t), intent(in) :: en1, en2 type(eval_node_t), intent(inout), optional :: en0 if (present (en0)) then call subevt_select_pdg_code (subevt, en1%aval, en2%pval, en0%ival) else call subevt_select_pdg_code (subevt, en1%aval, en2%pval) end if end subroutine select_pdg_ca @ %def select_pdg_ca @ \subsubsection{Binary string functions} Currently, the only string operation is concatenation. <<Eval trees: procedures>>= subroutine concat_ss (string, en1, en2) type(string_t), intent(out) :: string type(eval_node_t), intent(in) :: en1, en2 string = en1%sval // en2%sval end subroutine concat_ss @ %def concat_ss @ \subsection{Compiling the parse tree} The evaluation tree is built recursively by following a parse tree. Evaluate an expression. The requested type is given as an optional argument; default is numeric (integer or real). <<Eval trees: procedures>>= recursive subroutine eval_node_compile_genexpr & (en, pn, var_list, result_type) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list integer, intent(in), optional :: result_type if (debug_active (D_MODEL_F)) then print *, "read genexpr"; call parse_node_write (pn) end if if (present (result_type)) then select case (result_type) case (V_INT, V_REAL, V_CMPLX) call eval_node_compile_expr (en, pn, var_list) case (V_LOG) call eval_node_compile_lexpr (en, pn, var_list) case (V_SEV) call eval_node_compile_pexpr (en, pn, var_list) case (V_PDG) call eval_node_compile_cexpr (en, pn, var_list) case (V_STR) call eval_node_compile_sexpr (en, pn, var_list) end select else call eval_node_compile_expr (en, pn, var_list) end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done genexpr" end if end subroutine eval_node_compile_genexpr @ %def eval_node_compile_genexpr @ \subsubsection{Numeric expressions} This procedure compiles a numerical expression. This is a single term or a sum or difference of terms. We have to account for all combinations of integer and real arguments. If both are constant, we immediately do the calculation and allocate a constant node. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_expr (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_term, pn_addition, pn_op, pn_arg type(eval_node_t), pointer :: en1, en2 type(string_t) :: key integer :: t1, t2, t if (debug_active (D_MODEL_F)) then print *, "read expr"; call parse_node_write (pn) end if pn_term => parse_node_get_sub_ptr (pn) select case (char (parse_node_get_rule_key (pn_term))) case ("term") call eval_node_compile_term (en, pn_term, var_list) pn_addition => parse_node_get_next_ptr (pn_term, tag="addition") case ("addition") en => null () pn_addition => pn_term case default call parse_node_mismatch ("term|addition", pn) end select do while (associated (pn_addition)) pn_op => parse_node_get_sub_ptr (pn_addition) pn_arg => parse_node_get_next_ptr (pn_op, tag="term") call eval_node_compile_term (en2, pn_arg, var_list) t2 = en2%result_type if (associated (en)) then en1 => en t1 = en1%result_type else allocate (en1) select case (t2) case (V_INT); call eval_node_init_int (en1, 0) case (V_REAL); call eval_node_init_real (en1, 0._default) case (V_CMPLX); call eval_node_init_cmplx (en1, cmplx & (0._default, 0._default, kind=default)) end select t1 = t2 end if t = numeric_result_type (t1, t2) allocate (en) key = parse_node_get_key (pn_op) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then select case (char (key)) case ("+") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_int (en, add_ii (en1, en2)) case (V_REAL); call eval_node_init_real (en, add_ir (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, add_ic (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_real (en, add_ri (en1, en2)) case (V_REAL); call eval_node_init_real (en, add_rr (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, add_rc (en1, en2)) end select case (V_CMPLX) select case (t2) case (V_INT); call eval_node_init_cmplx (en, add_ci (en1, en2)) case (V_REAL); call eval_node_init_cmplx (en, add_cr (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, add_cc (en1, en2)) end select end select case ("-") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_int (en, sub_ii (en1, en2)) case (V_REAL); call eval_node_init_real (en, sub_ir (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, sub_ic (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_real (en, sub_ri (en1, en2)) case (V_REAL); call eval_node_init_real (en, sub_rr (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, sub_rc (en1, en2)) end select case (V_CMPLX) select case (t2) case (V_INT); call eval_node_init_cmplx (en, sub_ci (en1, en2)) case (V_REAL); call eval_node_init_cmplx (en, sub_cr (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, sub_cc (en1, en2)) end select end select end select call eval_node_final_rec (en1) call eval_node_final_rec (en2) deallocate (en1, en2) else call eval_node_init_branch (en, key, t, en1, en2) select case (char (key)) case ("+") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_int (en, add_ii) case (V_REAL); call eval_node_set_op2_real (en, add_ir) case (V_CMPLX); call eval_node_set_op2_cmplx (en, add_ic) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_real (en, add_ri) case (V_REAL); call eval_node_set_op2_real (en, add_rr) case (V_CMPLX); call eval_node_set_op2_cmplx (en, add_rc) end select case (V_CMPLX) select case (t2) case (V_INT); call eval_node_set_op2_cmplx (en, add_ci) case (V_REAL); call eval_node_set_op2_cmplx (en, add_cr) case (V_CMPLX); call eval_node_set_op2_cmplx (en, add_cc) end select end select case ("-") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_int (en, sub_ii) case (V_REAL); call eval_node_set_op2_real (en, sub_ir) case (V_CMPLX); call eval_node_set_op2_cmplx (en, sub_ic) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_real (en, sub_ri) case (V_REAL); call eval_node_set_op2_real (en, sub_rr) case (V_CMPLX); call eval_node_set_op2_cmplx (en, sub_rc) end select case (V_CMPLX) select case (t2) case (V_INT); call eval_node_set_op2_cmplx (en, sub_ci) case (V_REAL); call eval_node_set_op2_cmplx (en, sub_cr) case (V_CMPLX); call eval_node_set_op2_cmplx (en, sub_cc) end select end select end select end if pn_addition => parse_node_get_next_ptr (pn_addition) end do if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done expr" end if end subroutine eval_node_compile_expr @ %def eval_node_compile_expr <<Eval trees: procedures>>= recursive subroutine eval_node_compile_term (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_factor, pn_multiplication, pn_op, pn_arg type(eval_node_t), pointer :: en1, en2 type(string_t) :: key integer :: t1, t2, t if (debug_active (D_MODEL_F)) then print *, "read term"; call parse_node_write (pn) end if pn_factor => parse_node_get_sub_ptr (pn, tag="factor") call eval_node_compile_factor (en, pn_factor, var_list) pn_multiplication => & parse_node_get_next_ptr (pn_factor, tag="multiplication") do while (associated (pn_multiplication)) pn_op => parse_node_get_sub_ptr (pn_multiplication) pn_arg => parse_node_get_next_ptr (pn_op, tag="factor") en1 => en call eval_node_compile_factor (en2, pn_arg, var_list) t1 = en1%result_type t2 = en2%result_type t = numeric_result_type (t1, t2) allocate (en) key = parse_node_get_key (pn_op) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then select case (char (key)) case ("*") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_int (en, mul_ii (en1, en2)) case (V_REAL); call eval_node_init_real (en, mul_ir (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, mul_ic (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_real (en, mul_ri (en1, en2)) case (V_REAL); call eval_node_init_real (en, mul_rr (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, mul_rc (en1, en2)) end select case (V_CMPLX) select case (t2) case (V_INT); call eval_node_init_cmplx (en, mul_ci (en1, en2)) case (V_REAL); call eval_node_init_cmplx (en, mul_cr (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, mul_cc (en1, en2)) end select end select case ("/") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_int (en, div_ii (en1, en2)) case (V_REAL); call eval_node_init_real (en, div_ir (en1, en2)) case (V_CMPLX); call eval_node_init_real (en, div_ir (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_real (en, div_ri (en1, en2)) case (V_REAL); call eval_node_init_real (en, div_rr (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, div_rc (en1, en2)) end select case (V_CMPLX) select case (t2) case (V_INT); call eval_node_init_cmplx (en, div_ci (en1, en2)) case (V_REAL); call eval_node_init_cmplx (en, div_cr (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, div_cc (en1, en2)) end select end select end select call eval_node_final_rec (en1) call eval_node_final_rec (en2) deallocate (en1, en2) else call eval_node_init_branch (en, key, t, en1, en2) select case (char (key)) case ("*") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_int (en, mul_ii) case (V_REAL); call eval_node_set_op2_real (en, mul_ir) case (V_CMPLX); call eval_node_set_op2_cmplx (en, mul_ic) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_real (en, mul_ri) case (V_REAL); call eval_node_set_op2_real (en, mul_rr) case (V_CMPLX); call eval_node_set_op2_cmplx (en, mul_rc) end select case (V_CMPLX) select case (t2) case (V_INT); call eval_node_set_op2_cmplx (en, mul_ci) case (V_REAL); call eval_node_set_op2_cmplx (en, mul_cr) case (V_CMPLX); call eval_node_set_op2_cmplx (en, mul_cc) end select end select case ("/") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_int (en, div_ii) case (V_REAL); call eval_node_set_op2_real (en, div_ir) case (V_CMPLX); call eval_node_set_op2_cmplx (en, div_ic) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_real (en, div_ri) case (V_REAL); call eval_node_set_op2_real (en, div_rr) case (V_CMPLX); call eval_node_set_op2_cmplx (en, div_rc) end select case (V_CMPLX) select case (t2) case (V_INT); call eval_node_set_op2_cmplx (en, div_ci) case (V_REAL); call eval_node_set_op2_cmplx (en, div_cr) case (V_CMPLX); call eval_node_set_op2_cmplx (en, div_cc) end select end select end select end if pn_multiplication => parse_node_get_next_ptr (pn_multiplication) end do if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done term" end if end subroutine eval_node_compile_term @ %def eval_node_compile_term <<Eval trees: procedures>>= recursive subroutine eval_node_compile_factor (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_value, pn_exponentiation, pn_op, pn_arg type(eval_node_t), pointer :: en1, en2 type(string_t) :: key integer :: t1, t2, t if (debug_active (D_MODEL_F)) then print *, "read factor"; call parse_node_write (pn) end if pn_value => parse_node_get_sub_ptr (pn) call eval_node_compile_signed_value (en, pn_value, var_list) pn_exponentiation => & parse_node_get_next_ptr (pn_value, tag="exponentiation") if (associated (pn_exponentiation)) then pn_op => parse_node_get_sub_ptr (pn_exponentiation) pn_arg => parse_node_get_next_ptr (pn_op) en1 => en call eval_node_compile_signed_value (en2, pn_arg, var_list) t1 = en1%result_type t2 = en2%result_type t = numeric_result_type (t1, t2) allocate (en) key = parse_node_get_key (pn_op) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_int (en, pow_ii (en1, en2)) case (V_REAL); call eval_node_init_real (en, pow_ir (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, pow_ic (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_real (en, pow_ri (en1, en2)) case (V_REAL); call eval_node_init_real (en, pow_rr (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, pow_rc (en1, en2)) end select case (V_CMPLX) select case (t2) case (V_INT); call eval_node_init_cmplx (en, pow_ci (en1, en2)) case (V_REAL); call eval_node_init_cmplx (en, pow_cr (en1, en2)) case (V_CMPLX); call eval_node_init_cmplx (en, pow_cc (en1, en2)) end select end select call eval_node_final_rec (en1) call eval_node_final_rec (en2) deallocate (en1, en2) else call eval_node_init_branch (en, key, t, en1, en2) select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_int (en, pow_ii) case (V_REAL,V_CMPLX); call eval_type_error (pn, "exponentiation", t1) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_real (en, pow_ri) case (V_REAL); call eval_node_set_op2_real (en, pow_rr) case (V_CMPLX); call eval_type_error (pn, "exponentiation", t1) end select case (V_CMPLX) select case (t2) case (V_INT); call eval_node_set_op2_cmplx (en, pow_ci) case (V_REAL); call eval_node_set_op2_cmplx (en, pow_cr) case (V_CMPLX); call eval_node_set_op2_cmplx (en, pow_cc) end select end select end if end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done factor" end if end subroutine eval_node_compile_factor @ %def eval_node_compile_factor <<Eval trees: procedures>>= recursive subroutine eval_node_compile_signed_value (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_arg type(eval_node_t), pointer :: en1 integer :: t if (debug_active (D_MODEL_F)) then print *, "read signed value"; call parse_node_write (pn) end if select case (char (parse_node_get_rule_key (pn))) case ("signed_value") pn_arg => parse_node_get_sub_ptr (pn, 2) call eval_node_compile_value (en1, pn_arg, var_list) t = en1%result_type allocate (en) if (en1%type == EN_CONSTANT) then select case (t) case (V_INT); call eval_node_init_int (en, neg_i (en1)) case (V_REAL); call eval_node_init_real (en, neg_r (en1)) case (V_CMPLX); call eval_node_init_cmplx (en, neg_c (en1)) end select call eval_node_final_rec (en1) deallocate (en1) else call eval_node_init_branch (en, var_str ("-"), t, en1) select case (t) case (V_INT); call eval_node_set_op1_int (en, neg_i) case (V_REAL); call eval_node_set_op1_real (en, neg_r) case (V_CMPLX); call eval_node_set_op1_cmplx (en, neg_c) end select end if case default call eval_node_compile_value (en, pn, var_list) end select if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done signed value" end if end subroutine eval_node_compile_signed_value @ %def eval_node_compile_signed_value @ Integer, real and complex values have an optional unit. The unit is extracted and applied immediately. An integer with unit evaluates to a real constant. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_value (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list if (debug_active (D_MODEL_F)) then print *, "read value"; call parse_node_write (pn) end if select case (char (parse_node_get_rule_key (pn))) case ("integer_value", "real_value", "complex_value") call eval_node_compile_numeric_value (en, pn) case ("pi") call eval_node_compile_constant (en, pn) case ("I") call eval_node_compile_constant (en, pn) case ("variable") call eval_node_compile_variable (en, pn, var_list) case ("result") call eval_node_compile_result (en, pn, var_list) case ("expr") call eval_node_compile_expr (en, pn, var_list) case ("block_expr") call eval_node_compile_block_expr (en, pn, var_list) case ("conditional_expr") call eval_node_compile_conditional (en, pn, var_list) case ("unary_function") call eval_node_compile_unary_function (en, pn, var_list) case ("binary_function") call eval_node_compile_binary_function (en, pn, var_list) case ("eval_fun") call eval_node_compile_eval_function (en, pn, var_list) case ("count_fun") call eval_node_compile_numeric_function (en, pn, var_list) case default call parse_node_mismatch & ("integer|real|complex|constant|variable|" // & "expr|block_expr|conditional_expr|" // & "unary_function|binary_function|numeric_pexpr", pn) end select if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done value" end if end subroutine eval_node_compile_value @ %def eval_node_compile_value @ Real, complex and integer values are numeric literals with an optional unit attached. In case of an integer, the unit actually makes it a real value in disguise. The signed version of real values is not possible in generic expressions; it is a special case for numeric constants in model files (see below). We do not introduce signed versions of complex values. <<Eval trees: procedures>>= subroutine eval_node_compile_numeric_value (en, pn) type(eval_node_t), pointer :: en type(parse_node_t), intent(in), target :: pn type(parse_node_t), pointer :: pn_val, pn_unit allocate (en) pn_val => parse_node_get_sub_ptr (pn) pn_unit => parse_node_get_next_ptr (pn_val) select case (char (parse_node_get_rule_key (pn))) case ("integer_value") if (associated (pn_unit)) then call eval_node_init_real (en, & parse_node_get_integer (pn_val) * parse_node_get_unit (pn_unit)) else call eval_node_init_int (en, parse_node_get_integer (pn_val)) end if case ("real_value") if (associated (pn_unit)) then call eval_node_init_real (en, & parse_node_get_real (pn_val) * parse_node_get_unit (pn_unit)) else call eval_node_init_real (en, parse_node_get_real (pn_val)) end if case ("complex_value") if (associated (pn_unit)) then call eval_node_init_cmplx (en, & parse_node_get_cmplx (pn_val) * parse_node_get_unit (pn_unit)) else call eval_node_init_cmplx (en, parse_node_get_cmplx (pn_val)) end if case ("neg_real_value") pn_val => parse_node_get_sub_ptr (parse_node_get_sub_ptr (pn, 2)) pn_unit => parse_node_get_next_ptr (pn_val) if (associated (pn_unit)) then call eval_node_init_real (en, & - parse_node_get_real (pn_val) * parse_node_get_unit (pn_unit)) else call eval_node_init_real (en, - parse_node_get_real (pn_val)) end if case ("pos_real_value") pn_val => parse_node_get_sub_ptr (parse_node_get_sub_ptr (pn, 2)) pn_unit => parse_node_get_next_ptr (pn_val) if (associated (pn_unit)) then call eval_node_init_real (en, & parse_node_get_real (pn_val) * parse_node_get_unit (pn_unit)) else call eval_node_init_real (en, parse_node_get_real (pn_val)) end if case default call parse_node_mismatch & ("integer_value|real_value|complex_value|neg_real_value|pos_real_value", pn) end select end subroutine eval_node_compile_numeric_value @ %def eval_node_compile_numeric_value @ These are the units, predefined and hardcoded. The default energy unit is GeV, the default angular unit is radians. We include units for observables of dimension energy squared. Luminosities are normalized in inverse femtobarns. <<Eval trees: procedures>>= function parse_node_get_unit (pn) result (factor) real(default) :: factor real(default) :: unit type(parse_node_t), intent(in) :: pn type(parse_node_t), pointer :: pn_unit, pn_unit_power type(parse_node_t), pointer :: pn_frac, pn_num, pn_int, pn_div, pn_den integer :: num, den pn_unit => parse_node_get_sub_ptr (pn) select case (char (parse_node_get_key (pn_unit))) case ("TeV"); unit = 1.e3_default case ("GeV"); unit = 1 case ("MeV"); unit = 1.e-3_default case ("keV"); unit = 1.e-6_default case ("eV"); unit = 1.e-9_default case ("meV"); unit = 1.e-12_default case ("nbarn"); unit = 1.e6_default case ("pbarn"); unit = 1.e3_default case ("fbarn"); unit = 1 case ("abarn"); unit = 1.e-3_default case ("rad"); unit = 1 case ("mrad"); unit = 1.e-3_default case ("degree"); unit = degree case ("%"); unit = 1.e-2_default case default call msg_bug (" Unit '" // & char (parse_node_get_key (pn)) // "' is undefined.") end select pn_unit_power => parse_node_get_next_ptr (pn_unit) if (associated (pn_unit_power)) then pn_frac => parse_node_get_sub_ptr (pn_unit_power, 2) pn_num => parse_node_get_sub_ptr (pn_frac) select case (char (parse_node_get_rule_key (pn_num))) case ("neg_int") pn_int => parse_node_get_sub_ptr (pn_num, 2) num = - parse_node_get_integer (pn_int) case ("pos_int") pn_int => parse_node_get_sub_ptr (pn_num, 2) num = parse_node_get_integer (pn_int) case ("integer_literal") num = parse_node_get_integer (pn_num) case default call parse_node_mismatch ("neg_int|pos_int|integer_literal", pn_num) end select pn_div => parse_node_get_next_ptr (pn_num) if (associated (pn_div)) then pn_den => parse_node_get_sub_ptr (pn_div, 2) den = parse_node_get_integer (pn_den) else den = 1 end if else num = 1 den = 1 end if factor = unit ** (real (num, default) / den) end function parse_node_get_unit @ %def parse_node_get_unit @ There are only two predefined constants, but more can be added easily. <<Eval trees: procedures>>= subroutine eval_node_compile_constant (en, pn) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn if (debug_active (D_MODEL_F)) then print *, "read constant"; call parse_node_write (pn) end if allocate (en) select case (char (parse_node_get_key (pn))) case ("pi"); call eval_node_init_real (en, pi) case ("I"); call eval_node_init_cmplx (en, imago) case default call parse_node_mismatch ("pi or I", pn) end select if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done constant" end if end subroutine eval_node_compile_constant @ %def eval_node_compile_constant @ Compile a variable, with or without a specified type. Take the list of variables, look for the name and make a node with a pointer to the value. If no type is provided, the variable is numeric, and the stored value determines whether it is real or integer. We explicitly demand that the variable is defined, so we do not accidentally point to variables that are declared only later in the script but have come into existence in a previous compilation pass. Variables may actually be anonymous, these are expressions in disguise. In that case, the expression replaces the variable name in the parse tree, and we allocate an ordinary expression node in the eval tree. Variables of type [[V_PDG]] (pdg-code array) are not treated here. They are handled by [[eval_node_compile_cvariable]]. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_variable (en, pn, var_list, var_type) type(eval_node_t), pointer :: en type(parse_node_t), intent(in), target :: pn type(var_list_t), intent(in), target :: var_list integer, intent(in), optional :: var_type type(parse_node_t), pointer :: pn_name type(string_t) :: var_name logical, target, save :: no_lval real(default), target, save :: no_rval type(subevt_t), target, save :: no_pval type(string_t), target, save :: no_sval logical, target, save :: unknown = .false. integer :: type logical :: defined logical, pointer :: known logical, pointer :: lptr integer, pointer :: iptr real(default), pointer :: rptr complex(default), pointer :: cptr type(subevt_t), pointer :: pptr type(string_t), pointer :: sptr procedure(obs_unary_int), pointer :: obs1_iptr procedure(obs_unary_real), pointer :: obs1_rptr procedure(obs_binary_int), pointer :: obs2_iptr procedure(obs_binary_real), pointer :: obs2_rptr type(prt_t), pointer :: p1, p2 if (debug_active (D_MODEL_F)) then print *, "read variable"; call parse_node_write (pn) end if if (present (var_type)) then select case (var_type) case (V_REAL, V_OBS1_REAL, V_OBS2_REAL, V_INT, V_OBS1_INT, & V_OBS2_INT, V_CMPLX) pn_name => pn case default pn_name => parse_node_get_sub_ptr (pn, 2) end select else pn_name => pn end if select case (char (parse_node_get_rule_key (pn_name))) case ("expr") call eval_node_compile_expr (en, pn_name, var_list) case ("lexpr") call eval_node_compile_lexpr (en, pn_name, var_list) case ("sexpr") call eval_node_compile_sexpr (en, pn_name, var_list) case ("pexpr") call eval_node_compile_pexpr (en, pn_name, var_list) case ("variable") var_name = parse_node_get_string (pn_name) if (present (var_type)) then select case (var_type) case (V_LOG); var_name = "?" // var_name case (V_SEV); var_name = "@" // var_name case (V_STR); var_name = "$" // var_name ! $ sign end select end if call var_list%get_var_properties & (var_name, req_type=var_type, type=type, is_defined=defined) allocate (en) if (defined) then select case (type) case (V_LOG) call var_list%get_lptr (var_name, lptr, known) call eval_node_init_log_ptr (en, var_name, lptr, known) case (V_INT) call var_list%get_iptr (var_name, iptr, known) call eval_node_init_int_ptr (en, var_name, iptr, known) case (V_REAL) call var_list%get_rptr (var_name, rptr, known) call eval_node_init_real_ptr (en, var_name, rptr, known) case (V_CMPLX) call var_list%get_cptr (var_name, cptr, known) call eval_node_init_cmplx_ptr (en, var_name, cptr, known) case (V_SEV) call var_list%get_pptr (var_name, pptr, known) call eval_node_init_subevt_ptr (en, var_name, pptr, known) case (V_STR) call var_list%get_sptr (var_name, sptr, known) call eval_node_init_string_ptr (en, var_name, sptr, known) case (V_OBS1_INT) call var_list%get_obs1_iptr (var_name, obs1_iptr, p1) call eval_node_init_obs1_int_ptr (en, var_name, obs1_iptr, p1) case (V_OBS2_INT) call var_list%get_obs2_iptr (var_name, obs2_iptr, p1, p2) call eval_node_init_obs2_int_ptr (en, var_name, obs2_iptr, p1, p2) case (V_OBS1_REAL) call var_list%get_obs1_rptr (var_name, obs1_rptr, p1) call eval_node_init_obs1_real_ptr (en, var_name, obs1_rptr, p1) case (V_OBS2_REAL) call var_list%get_obs2_rptr (var_name, obs2_rptr, p1, p2) call eval_node_init_obs2_real_ptr (en, var_name, obs2_rptr, p1, p2) case default call parse_node_write (pn) call msg_fatal ("Variable of this type " // & "is not allowed in the present context") if (present (var_type)) then select case (var_type) case (V_LOG) call eval_node_init_log_ptr (en, var_name, no_lval, unknown) case (V_SEV) call eval_node_init_subevt_ptr & (en, var_name, no_pval, unknown) case (V_STR) call eval_node_init_string_ptr & (en, var_name, no_sval, unknown) end select else call eval_node_init_real_ptr (en, var_name, no_rval, unknown) end if end select else call parse_node_write (pn) call msg_error ("This variable is undefined at this point") if (present (var_type)) then select case (var_type) case (V_LOG) call eval_node_init_log_ptr (en, var_name, no_lval, unknown) case (V_SEV) call eval_node_init_subevt_ptr & (en, var_name, no_pval, unknown) case (V_STR) call eval_node_init_string_ptr (en, var_name, no_sval, unknown) end select else call eval_node_init_real_ptr (en, var_name, no_rval, unknown) end if end if end select if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done variable" end if end subroutine eval_node_compile_variable @ %def eval_node_compile_variable @ In a given context, a variable has to have a certain type. <<Eval trees: procedures>>= subroutine check_var_type (pn, ok, type_actual, type_requested) type(parse_node_t), intent(in) :: pn logical, intent(out) :: ok integer, intent(in) :: type_actual integer, intent(in), optional :: type_requested if (present (type_requested)) then select case (type_requested) case (V_LOG) select case (type_actual) case (V_LOG) case default call parse_node_write (pn) call msg_fatal ("Variable type is invalid (should be logical)") ok = .false. end select case (V_SEV) select case (type_actual) case (V_SEV) case default call parse_node_write (pn) call msg_fatal & ("Variable type is invalid (should be particle set)") ok = .false. end select case (V_PDG) select case (type_actual) case (V_PDG) case default call parse_node_write (pn) call msg_fatal & ("Variable type is invalid (should be PDG array)") ok = .false. end select case (V_STR) select case (type_actual) case (V_STR) case default call parse_node_write (pn) call msg_fatal & ("Variable type is invalid (should be string)") ok = .false. end select case default call parse_node_write (pn) call msg_bug ("Variable type is unknown") end select else select case (type_actual) case (V_REAL, V_OBS1_REAL, V_OBS2_REAL, V_INT, V_OBS1_INT, & V_OBS2_INT, V_CMPLX) case default call parse_node_write (pn) call msg_fatal ("Variable type is invalid (should be numeric)") ok = .false. end select end if ok = .true. end subroutine check_var_type @ %def check_var_type @ Retrieve the result of an integration. If the requested process has been integrated, the results are available as special variables. (The variables cannot be accessed in the usual way since they contain brackets in their names.) Since this compilation step may occur before the processes have been loaded, we have to initialize the required variables before they are used. <<Eval trees: procedures>>= subroutine eval_node_compile_result (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in), target :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_key, pn_prc_id type(string_t) :: key, prc_id, var_name integer, pointer :: iptr real(default), pointer :: rptr logical, pointer :: known if (debug_active (D_MODEL_F)) then print *, "read result"; call parse_node_write (pn) end if pn_key => parse_node_get_sub_ptr (pn) pn_prc_id => parse_node_get_next_ptr (pn_key) key = parse_node_get_key (pn_key) prc_id = parse_node_get_string (pn_prc_id) var_name = key // "(" // prc_id // ")" if (var_list%contains (var_name)) then allocate (en) select case (char(key)) case ("num_id", "n_calls") call var_list%get_iptr (var_name, iptr, known) call eval_node_init_int_ptr (en, var_name, iptr, known) case ("integral", "error") call var_list%get_rptr (var_name, rptr, known) call eval_node_init_real_ptr (en, var_name, rptr, known) end select else call msg_fatal ("Result variable '" // char (var_name) & // "' is undefined (call 'integrate' before use)") end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done result" end if end subroutine eval_node_compile_result @ %def eval_node_compile_result @ Functions with a single argument. For non-constant arguments, watch for functions which convert their argument to a different type. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_unary_function (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_fname, pn_arg type(eval_node_t), pointer :: en1 type(string_t) :: key integer :: t if (debug_active (D_MODEL_F)) then print *, "read unary function"; call parse_node_write (pn) end if pn_fname => parse_node_get_sub_ptr (pn) pn_arg => parse_node_get_next_ptr (pn_fname, tag="function_arg1") call eval_node_compile_expr & (en1, parse_node_get_sub_ptr (pn_arg, tag="expr"), var_list) t = en1%result_type allocate (en) key = parse_node_get_key (pn_fname) if (en1%type == EN_CONSTANT) then select case (char (key)) case ("complex") select case (t) case (V_INT); call eval_node_init_cmplx (en, cmplx_i (en1)) case (V_REAL); call eval_node_init_cmplx (en, cmplx_r (en1)) case (V_CMPLX); deallocate (en); en => en1; en1 => null () case default; call eval_type_error (pn, char (key), t) end select case ("real") select case (t) case (V_INT); call eval_node_init_real (en, real_i (en1)) case (V_REAL); deallocate (en); en => en1; en1 => null () case (V_CMPLX); call eval_node_init_real (en, real_c (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("int") select case (t) case (V_INT); deallocate (en); en => en1; en1 => null () case (V_REAL); call eval_node_init_int (en, int_r (en1)) case (V_CMPLX); call eval_node_init_int (en, int_c (en1)) end select case ("nint") select case (t) case (V_INT); deallocate (en); en => en1; en1 => null () case (V_REAL); call eval_node_init_int (en, nint_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("floor") select case (t) case (V_INT); deallocate (en); en => en1; en1 => null () case (V_REAL); call eval_node_init_int (en, floor_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("ceiling") select case (t) case (V_INT); deallocate (en); en => en1; en1 => null () case (V_REAL); call eval_node_init_int (en, ceiling_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("abs") select case (t) case (V_INT); call eval_node_init_int (en, abs_i (en1)) case (V_REAL); call eval_node_init_real (en, abs_r (en1)) case (V_CMPLX); call eval_node_init_real (en, abs_c (en1)) end select case ("conjg") select case (t) case (V_INT); call eval_node_init_int (en, conjg_i (en1)) case (V_REAL); call eval_node_init_real (en, conjg_r (en1)) case (V_CMPLX); call eval_node_init_cmplx (en, conjg_c (en1)) end select case ("sgn") select case (t) case (V_INT); call eval_node_init_int (en, sgn_i (en1)) case (V_REAL); call eval_node_init_real (en, sgn_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("sqrt") select case (t) case (V_REAL); call eval_node_init_real (en, sqrt_r (en1)) case (V_CMPLX); call eval_node_init_cmplx (en, sqrt_c (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("exp") select case (t) case (V_REAL); call eval_node_init_real (en, exp_r (en1)) case (V_CMPLX); call eval_node_init_cmplx (en, exp_c (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("log") select case (t) case (V_REAL); call eval_node_init_real (en, log_r (en1)) case (V_CMPLX); call eval_node_init_cmplx (en, log_c (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("log10") select case (t) case (V_REAL); call eval_node_init_real (en, log10_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("sin") select case (t) case (V_REAL); call eval_node_init_real (en, sin_r (en1)) case (V_CMPLX); call eval_node_init_cmplx (en, sin_c (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("cos") select case (t) case (V_REAL); call eval_node_init_real (en, cos_r (en1)) case (V_CMPLX); call eval_node_init_cmplx (en, cos_c (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("tan") select case (t) case (V_REAL); call eval_node_init_real (en, tan_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("asin") select case (t) case (V_REAL); call eval_node_init_real (en, asin_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("acos") select case (t) case (V_REAL); call eval_node_init_real (en, acos_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("atan") select case (t) case (V_REAL); call eval_node_init_real (en, atan_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("sinh") select case (t) case (V_REAL); call eval_node_init_real (en, sinh_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("cosh") select case (t) case (V_REAL); call eval_node_init_real (en, cosh_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("tanh") select case (t) case (V_REAL); call eval_node_init_real (en, tanh_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("asinh") select case (t) case (V_REAL); call eval_node_init_real (en, asinh_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("acosh") select case (t) case (V_REAL); call eval_node_init_real (en, acosh_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case ("atanh") select case (t) case (V_REAL); call eval_node_init_real (en, atanh_r (en1)) case default; call eval_type_error (pn, char (key), t) end select case default call parse_node_mismatch ("function name", pn_fname) end select if (associated (en1)) then call eval_node_final_rec (en1) deallocate (en1) end if else select case (char (key)) case ("complex") call eval_node_init_branch (en, key, V_CMPLX, en1) case ("real") call eval_node_init_branch (en, key, V_REAL, en1) case ("int", "nint", "floor", "ceiling") call eval_node_init_branch (en, key, V_INT, en1) case default call eval_node_init_branch (en, key, t, en1) end select select case (char (key)) case ("complex") select case (t) case (V_INT); call eval_node_set_op1_cmplx (en, cmplx_i) case (V_REAL); call eval_node_set_op1_cmplx (en, cmplx_r) case (V_CMPLX); deallocate (en); en => en1 case default; call eval_type_error (pn, char (key), t) end select case ("real") select case (t) case (V_INT); call eval_node_set_op1_real (en, real_i) case (V_REAL); deallocate (en); en => en1 case (V_CMPLX); call eval_node_set_op1_real (en, real_c) case default; call eval_type_error (pn, char (key), t) end select case ("int") select case (t) case (V_INT); deallocate (en); en => en1 case (V_REAL); call eval_node_set_op1_int (en, int_r) case (V_CMPLX); call eval_node_set_op1_int (en, int_c) end select case ("nint") select case (t) case (V_INT); deallocate (en); en => en1 case (V_REAL); call eval_node_set_op1_int (en, nint_r) case default; call eval_type_error (pn, char (key), t) end select case ("floor") select case (t) case (V_INT); deallocate (en); en => en1 case (V_REAL); call eval_node_set_op1_int (en, floor_r) case default; call eval_type_error (pn, char (key), t) end select case ("ceiling") select case (t) case (V_INT); deallocate (en); en => en1 case (V_REAL); call eval_node_set_op1_int (en, ceiling_r) case default; call eval_type_error (pn, char (key), t) end select case ("abs") select case (t) case (V_INT); call eval_node_set_op1_int (en, abs_i) case (V_REAL); call eval_node_set_op1_real (en, abs_r) case (V_CMPLX); call eval_node_init_branch (en, key, V_REAL, en1) call eval_node_set_op1_real (en, abs_c) end select case ("conjg") select case (t) case (V_INT); call eval_node_set_op1_int (en, conjg_i) case (V_REAL); call eval_node_set_op1_real (en, conjg_r) case (V_CMPLX); call eval_node_set_op1_cmplx (en, conjg_c) end select case ("sgn") select case (t) case (V_INT); call eval_node_set_op1_int (en, sgn_i) case (V_REAL); call eval_node_set_op1_real (en, sgn_r) case default; call eval_type_error (pn, char (key), t) end select case ("sqrt") select case (t) case (V_REAL); call eval_node_set_op1_real (en, sqrt_r) case (V_CMPLX); call eval_node_set_op1_cmplx (en, sqrt_c) case default; call eval_type_error (pn, char (key), t) end select case ("exp") select case (t) case (V_REAL); call eval_node_set_op1_real (en, exp_r) case (V_CMPLX); call eval_node_set_op1_cmplx (en, exp_c) case default; call eval_type_error (pn, char (key), t) end select case ("log") select case (t) case (V_REAL); call eval_node_set_op1_real (en, log_r) case (V_CMPLX); call eval_node_set_op1_cmplx (en, log_c) case default; call eval_type_error (pn, char (key), t) end select case ("log10") select case (t) case (V_REAL); call eval_node_set_op1_real (en, log10_r) case default; call eval_type_error (pn, char (key), t) end select case ("sin") select case (t) case (V_REAL); call eval_node_set_op1_real (en, sin_r) case (V_CMPLX); call eval_node_set_op1_cmplx (en, sin_c) case default; call eval_type_error (pn, char (key), t) end select case ("cos") select case (t) case (V_REAL); call eval_node_set_op1_real (en, cos_r) case (V_CMPLX); call eval_node_set_op1_cmplx (en, cos_c) case default; call eval_type_error (pn, char (key), t) end select case ("tan") select case (t) case (V_REAL); call eval_node_set_op1_real (en, tan_r) case default; call eval_type_error (pn, char (key), t) end select case ("asin") select case (t) case (V_REAL); call eval_node_set_op1_real (en, asin_r) case default; call eval_type_error (pn, char (key), t) end select case ("acos") select case (t) case (V_REAL); call eval_node_set_op1_real (en, acos_r) case default; call eval_type_error (pn, char (key), t) end select case ("atan") select case (t) case (V_REAL); call eval_node_set_op1_real (en, atan_r) case default; call eval_type_error (pn, char (key), t) end select case ("sinh") select case (t) case (V_REAL); call eval_node_set_op1_real (en, sinh_r) case default; call eval_type_error (pn, char (key), t) end select case ("cosh") select case (t) case (V_REAL); call eval_node_set_op1_real (en, cosh_r) case default; call eval_type_error (pn, char (key), t) end select case ("tanh") select case (t) case (V_REAL); call eval_node_set_op1_real (en, tanh_r) case default; call eval_type_error (pn, char (key), t) end select case ("asinh") select case (t) case (V_REAL); call eval_node_set_op1_real (en, asinh_r) case default; call eval_type_error (pn, char (key), t) end select case ("acosh") select case (t) case (V_REAL); call eval_node_set_op1_real (en, acosh_r) case default; call eval_type_error (pn, char (key), t) end select case ("atanh") select case (t) case (V_REAL); call eval_node_set_op1_real (en, atanh_r) case default; call eval_type_error (pn, char (key), t) end select case default call parse_node_mismatch ("function name", pn_fname) end select end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done function" end if end subroutine eval_node_compile_unary_function @ %def eval_node_compile_unary_function @ Functions with two arguments. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_binary_function (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_fname, pn_arg, pn_arg1, pn_arg2 type(eval_node_t), pointer :: en1, en2 type(string_t) :: key integer :: t1, t2 if (debug_active (D_MODEL_F)) then print *, "read binary function"; call parse_node_write (pn) end if pn_fname => parse_node_get_sub_ptr (pn) pn_arg => parse_node_get_next_ptr (pn_fname, tag="function_arg2") pn_arg1 => parse_node_get_sub_ptr (pn_arg, tag="expr") pn_arg2 => parse_node_get_next_ptr (pn_arg1, tag="expr") call eval_node_compile_expr (en1, pn_arg1, var_list) call eval_node_compile_expr (en2, pn_arg2, var_list) t1 = en1%result_type t2 = en2%result_type allocate (en) key = parse_node_get_key (pn_fname) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then select case (char (key)) case ("max") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_int (en, max_ii (en1, en2)) case (V_REAL); call eval_node_init_real (en, max_ir (en1, en2)) case default; call eval_type_error (pn, char (key), t2) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_real (en, max_ri (en1, en2)) case (V_REAL); call eval_node_init_real (en, max_rr (en1, en2)) case default; call eval_type_error (pn, char (key), t2) end select case default; call eval_type_error (pn, char (key), t1) end select case ("min") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_int (en, min_ii (en1, en2)) case (V_REAL); call eval_node_init_real (en, min_ir (en1, en2)) case default; call eval_type_error (pn, char (key), t2) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_real (en, min_ri (en1, en2)) case (V_REAL); call eval_node_init_real (en, min_rr (en1, en2)) case default; call eval_type_error (pn, char (key), t2) end select case default; call eval_type_error (pn, char (key), t1) end select case ("mod") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_int (en, mod_ii (en1, en2)) case (V_REAL); call eval_node_init_real (en, mod_ir (en1, en2)) case default; call eval_type_error (pn, char (key), t2) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_real (en, mod_ri (en1, en2)) case (V_REAL); call eval_node_init_real (en, mod_rr (en1, en2)) case default; call eval_type_error (pn, char (key), t2) end select case default; call eval_type_error (pn, char (key), t1) end select case ("modulo") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_int (en, modulo_ii (en1, en2)) case (V_REAL); call eval_node_init_real (en, modulo_ir (en1, en2)) case default; call eval_type_error (pn, char (key), t2) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_real (en, modulo_ri (en1, en2)) case (V_REAL); call eval_node_init_real (en, modulo_rr (en1, en2)) case default; call eval_type_error (pn, char (key), t2) end select case default; call eval_type_error (pn, char (key), t2) end select case default call parse_node_mismatch ("function name", pn_fname) end select call eval_node_final_rec (en1) deallocate (en1) else call eval_node_init_branch (en, key, t1, en1, en2) select case (char (key)) case ("max") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_int (en, max_ii) case (V_REAL); call eval_node_set_op2_real (en, max_ir) case default; call eval_type_error (pn, char (key), t2) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_real (en, max_ri) case (V_REAL); call eval_node_set_op2_real (en, max_rr) case default; call eval_type_error (pn, char (key), t2) end select case default; call eval_type_error (pn, char (key), t2) end select case ("min") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_int (en, min_ii) case (V_REAL); call eval_node_set_op2_real (en, min_ir) case default; call eval_type_error (pn, char (key), t2) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_real (en, min_ri) case (V_REAL); call eval_node_set_op2_real (en, min_rr) case default; call eval_type_error (pn, char (key), t2) end select case default; call eval_type_error (pn, char (key), t2) end select case ("mod") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_int (en, mod_ii) case (V_REAL); call eval_node_set_op2_real (en, mod_ir) case default; call eval_type_error (pn, char (key), t2) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_real (en, mod_ri) case (V_REAL); call eval_node_set_op2_real (en, mod_rr) case default; call eval_type_error (pn, char (key), t2) end select case default; call eval_type_error (pn, char (key), t2) end select case ("modulo") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_int (en, modulo_ii) case (V_REAL); call eval_node_set_op2_real (en, modulo_ir) case default; call eval_type_error (pn, char (key), t2) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_real (en, modulo_ri) case (V_REAL); call eval_node_set_op2_real (en, modulo_rr) case default; call eval_type_error (pn, char (key), t2) end select case default; call eval_type_error (pn, char (key), t2) end select case default call parse_node_mismatch ("function name", pn_fname) end select end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done function" end if end subroutine eval_node_compile_binary_function @ %def eval_node_compile_binary_function @ \subsubsection{Variable definition} A block expression contains a variable definition (first argument) and an expression where the definition can be used (second argument). The [[result_type]] decides which type of expression is expected for the second argument. For numeric variables, if there is a mismatch between real and integer type, insert an extra node for type conversion. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_block_expr & (en, pn, var_list, result_type) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list integer, intent(in), optional :: result_type type(parse_node_t), pointer :: pn_var_spec, pn_var_subspec type(parse_node_t), pointer :: pn_var_type, pn_var_name, pn_var_expr type(parse_node_t), pointer :: pn_expr type(string_t) :: var_name type(eval_node_t), pointer :: en1, en2 integer :: var_type logical :: new if (debug_active (D_MODEL_F)) then print *, "read block expr"; call parse_node_write (pn) end if new = .false. pn_var_spec => parse_node_get_sub_ptr (pn, 2) select case (char (parse_node_get_rule_key (pn_var_spec))) case ("var_num"); var_type = V_NONE pn_var_name => parse_node_get_sub_ptr (pn_var_spec) case ("var_int"); var_type = V_INT new = .true. pn_var_name => parse_node_get_sub_ptr (pn_var_spec, 2) case ("var_real"); var_type = V_REAL new = .true. pn_var_name => parse_node_get_sub_ptr (pn_var_spec, 2) case ("var_cmplx"); var_type = V_CMPLX new = .true. pn_var_name => parse_node_get_sub_ptr (pn_var_spec, 2) case ("var_logical_new"); var_type = V_LOG new = .true. pn_var_subspec => parse_node_get_sub_ptr (pn_var_spec, 2) pn_var_name => parse_node_get_sub_ptr (pn_var_subspec, 2) case ("var_logical_spec"); var_type = V_LOG pn_var_name => parse_node_get_sub_ptr (pn_var_spec, 2) case ("var_plist_new"); var_type = V_SEV new = .true. pn_var_subspec => parse_node_get_sub_ptr (pn_var_spec, 2) pn_var_name => parse_node_get_sub_ptr (pn_var_subspec, 2) case ("var_plist_spec"); var_type = V_SEV new = .true. pn_var_name => parse_node_get_sub_ptr (pn_var_spec, 2) case ("var_alias"); var_type = V_PDG new = .true. pn_var_name => parse_node_get_sub_ptr (pn_var_spec, 2) case ("var_string_new"); var_type = V_STR new = .true. pn_var_subspec => parse_node_get_sub_ptr (pn_var_spec, 2) pn_var_name => parse_node_get_sub_ptr (pn_var_subspec, 2) case ("var_string_spec"); var_type = V_STR pn_var_name => parse_node_get_sub_ptr (pn_var_spec, 2) case default call parse_node_mismatch & ("logical|int|real|plist|alias", pn_var_type) end select pn_var_expr => parse_node_get_next_ptr (pn_var_name, 2) pn_expr => parse_node_get_next_ptr (pn_var_spec, 2) var_name = parse_node_get_string (pn_var_name) select case (var_type) case (V_LOG); var_name = "?" // var_name case (V_SEV); var_name = "@" // var_name case (V_STR); var_name = "$" // var_name ! $ sign end select call var_list_check_user_var (var_list, var_name, var_type, new) call eval_node_compile_genexpr (en1, pn_var_expr, var_list, var_type) call insert_conversion_node (en1, var_type) allocate (en) call eval_node_init_block (en, var_name, var_type, en1, var_list) call eval_node_compile_genexpr (en2, pn_expr, en%var_list, result_type) call eval_node_set_expr (en, en2) if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done block expr" end if end subroutine eval_node_compile_block_expr @ %def eval_node_compile_block_expr @ Insert a conversion node for integer/real/complex transformation if necessary. What shall we do for the complex to integer/real conversion? <<Eval trees: procedures>>= subroutine insert_conversion_node (en, result_type) type(eval_node_t), pointer :: en integer, intent(in) :: result_type type(eval_node_t), pointer :: en_conv select case (en%result_type) case (V_INT) select case (result_type) case (V_REAL) allocate (en_conv) call eval_node_init_branch (en_conv, var_str ("real"), V_REAL, en) call eval_node_set_op1_real (en_conv, real_i) en => en_conv case (V_CMPLX) allocate (en_conv) call eval_node_init_branch (en_conv, var_str ("complex"), V_CMPLX, en) call eval_node_set_op1_cmplx (en_conv, cmplx_i) en => en_conv end select case (V_REAL) select case (result_type) case (V_INT) allocate (en_conv) call eval_node_init_branch (en_conv, var_str ("int"), V_INT, en) call eval_node_set_op1_int (en_conv, int_r) en => en_conv case (V_CMPLX) allocate (en_conv) call eval_node_init_branch (en_conv, var_str ("complex"), V_CMPLX, en) call eval_node_set_op1_cmplx (en_conv, cmplx_r) en => en_conv end select case (V_CMPLX) select case (result_type) case (V_INT) allocate (en_conv) call eval_node_init_branch (en_conv, var_str ("int"), V_INT, en) call eval_node_set_op1_int (en_conv, int_c) en => en_conv case (V_REAL) allocate (en_conv) call eval_node_init_branch (en_conv, var_str ("real"), V_REAL, en) call eval_node_set_op1_real (en_conv, real_c) en => en_conv end select case default end select end subroutine insert_conversion_node @ %def insert_conversion_node @ \subsubsection{Conditionals} A conditional has the structure if lexpr then expr else expr. So we first evaluate the logical expression, then depending on the result the first or second expression. Note that the second expression is mandatory. The [[result_type]], if present, defines the requested type of the [[then]] and [[else]] clauses. Default is numeric (int/real). If there is a mismatch between real and integer result types, insert conversion nodes. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_conditional & (en, pn, var_list, result_type) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list integer, intent(in), optional :: result_type type(parse_node_t), pointer :: pn_condition, pn_expr type(parse_node_t), pointer :: pn_maybe_elsif, pn_elsif_branch type(parse_node_t), pointer :: pn_maybe_else, pn_else_branch, pn_else_expr type(eval_node_t), pointer :: en0, en1, en2 integer :: restype if (debug_active (D_MODEL_F)) then print *, "read conditional"; call parse_node_write (pn) end if pn_condition => parse_node_get_sub_ptr (pn, 2, tag="lexpr") pn_expr => parse_node_get_next_ptr (pn_condition, 2) call eval_node_compile_lexpr (en0, pn_condition, var_list) call eval_node_compile_genexpr (en1, pn_expr, var_list, result_type) if (present (result_type)) then restype = major_result_type (result_type, en1%result_type) else restype = en1%result_type end if pn_maybe_elsif => parse_node_get_next_ptr (pn_expr) select case (char (parse_node_get_rule_key (pn_maybe_elsif))) case ("maybe_elsif_expr", & "maybe_elsif_lexpr", & "maybe_elsif_pexpr", & "maybe_elsif_cexpr", & "maybe_elsif_sexpr") pn_elsif_branch => parse_node_get_sub_ptr (pn_maybe_elsif) pn_maybe_else => parse_node_get_next_ptr (pn_maybe_elsif) select case (char (parse_node_get_rule_key (pn_maybe_else))) case ("maybe_else_expr", & "maybe_else_lexpr", & "maybe_else_pexpr", & "maybe_else_cexpr", & "maybe_else_sexpr") pn_else_branch => parse_node_get_sub_ptr (pn_maybe_else) pn_else_expr => parse_node_get_sub_ptr (pn_else_branch, 2) case default pn_else_expr => null () end select call eval_node_compile_elsif & (en2, pn_elsif_branch, pn_else_expr, var_list, restype) case ("maybe_else_expr", & "maybe_else_lexpr", & "maybe_else_pexpr", & "maybe_else_cexpr", & "maybe_else_sexpr") pn_maybe_else => pn_maybe_elsif pn_maybe_elsif => null () pn_else_branch => parse_node_get_sub_ptr (pn_maybe_else) pn_else_expr => parse_node_get_sub_ptr (pn_else_branch, 2) call eval_node_compile_genexpr & (en2, pn_else_expr, var_list, restype) case ("endif") call eval_node_compile_default_else (en2, restype) case default call msg_bug ("Broken conditional: unexpected " & // char (parse_node_get_rule_key (pn_maybe_elsif))) end select call eval_node_create_conditional (en, en0, en1, en2, restype) call conditional_insert_conversion_nodes (en, restype) if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done conditional" end if end subroutine eval_node_compile_conditional @ %def eval_node_compile_conditional @ This recursively generates 'elsif' conditionals as a chain of sub-nodes of the main conditional. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_elsif & (en, pn, pn_else_expr, var_list, result_type) type(eval_node_t), pointer :: en type(parse_node_t), intent(in), target :: pn type(parse_node_t), pointer :: pn_else_expr type(var_list_t), intent(in), target :: var_list integer, intent(inout) :: result_type type(parse_node_t), pointer :: pn_next, pn_condition, pn_expr type(eval_node_t), pointer :: en0, en1, en2 pn_condition => parse_node_get_sub_ptr (pn, 2, tag="lexpr") pn_expr => parse_node_get_next_ptr (pn_condition, 2) call eval_node_compile_lexpr (en0, pn_condition, var_list) call eval_node_compile_genexpr (en1, pn_expr, var_list, result_type) result_type = major_result_type (result_type, en1%result_type) pn_next => parse_node_get_next_ptr (pn) if (associated (pn_next)) then call eval_node_compile_elsif & (en2, pn_next, pn_else_expr, var_list, result_type) result_type = major_result_type (result_type, en2%result_type) else if (associated (pn_else_expr)) then call eval_node_compile_genexpr & (en2, pn_else_expr, var_list, result_type) result_type = major_result_type (result_type, en2%result_type) else call eval_node_compile_default_else (en2, result_type) end if call eval_node_create_conditional (en, en0, en1, en2, result_type) end subroutine eval_node_compile_elsif @ %def eval_node_compile_elsif @ This makes a default 'else' branch in case it was omitted. The default value just depends on the expected type. <<Eval trees: procedures>>= subroutine eval_node_compile_default_else (en, result_type) type(eval_node_t), pointer :: en integer, intent(in) :: result_type type(subevt_t) :: pval_empty type(pdg_array_t) :: aval_undefined allocate (en) select case (result_type) case (V_LOG); call eval_node_init_log (en, .false.) case (V_INT); call eval_node_init_int (en, 0) case (V_REAL); call eval_node_init_real (en, 0._default) case (V_CMPLX) call eval_node_init_cmplx (en, (0._default, 0._default)) case (V_SEV) call subevt_init (pval_empty) call eval_node_init_subevt (en, pval_empty) case (V_PDG) call eval_node_init_pdg_array (en, aval_undefined) case (V_STR) call eval_node_init_string (en, var_str ("")) case default call msg_bug ("Undefined type for 'else' branch in conditional") end select end subroutine eval_node_compile_default_else @ %def eval_node_compile_default_else @ If the logical expression is constant, we can simplify the conditional node by replacing it with the selected branch. Otherwise, we initialize a true branching. <<Eval trees: procedures>>= subroutine eval_node_create_conditional (en, en0, en1, en2, result_type) type(eval_node_t), pointer :: en, en0, en1, en2 integer, intent(in) :: result_type if (en0%type == EN_CONSTANT) then if (en0%lval) then en => en1 call eval_node_final_rec (en2) deallocate (en2) else en => en2 call eval_node_final_rec (en1) deallocate (en1) end if else allocate (en) call eval_node_init_conditional (en, result_type, en0, en1, en2) end if end subroutine eval_node_create_conditional @ %def eval_node_create_conditional @ Return the numerical result type which should be used for the combination of the two result types. <<Eval trees: procedures>>= function major_result_type (t1, t2) result (t) integer :: t integer, intent(in) :: t1, t2 select case (t1) case (V_INT) select case (t2) case (V_INT, V_REAL, V_CMPLX) t = t2 case default call type_mismatch () end select case (V_REAL) select case (t2) case (V_INT) t = t1 case (V_REAL, V_CMPLX) t = t2 case default call type_mismatch () end select case (V_CMPLX) select case (t2) case (V_INT, V_REAL, V_CMPLX) t = t1 case default call type_mismatch () end select case default if (t1 == t2) then t = t1 else call type_mismatch () end if end select contains subroutine type_mismatch () call msg_bug ("Type mismatch in branches of a conditional expression") end subroutine type_mismatch end function major_result_type @ %def major_result_type @ Recursively insert conversion nodes where necessary. <<Eval trees: procedures>>= recursive subroutine conditional_insert_conversion_nodes (en, result_type) type(eval_node_t), intent(inout), target :: en integer, intent(in) :: result_type select case (result_type) case (V_INT, V_REAL, V_CMPLX) call insert_conversion_node (en%arg1, result_type) if (en%arg2%type == EN_CONDITIONAL) then call conditional_insert_conversion_nodes (en%arg2, result_type) else call insert_conversion_node (en%arg2, result_type) end if end select end subroutine conditional_insert_conversion_nodes @ %def conditional_insert_conversion_nodes @ \subsubsection{Logical expressions} A logical expression consists of one or more singlet logical expressions concatenated by [[;]]. This is for allowing side-effects, only the last value is used. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_lexpr (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_term, pn_sequel, pn_arg type(eval_node_t), pointer :: en1, en2 if (debug_active (D_MODEL_F)) then print *, "read lexpr"; call parse_node_write (pn) end if pn_term => parse_node_get_sub_ptr (pn, tag="lsinglet") call eval_node_compile_lsinglet (en, pn_term, var_list) pn_sequel => parse_node_get_next_ptr (pn_term, tag="lsequel") do while (associated (pn_sequel)) pn_arg => parse_node_get_sub_ptr (pn_sequel, 2, tag="lsinglet") en1 => en call eval_node_compile_lsinglet (en2, pn_arg, var_list) allocate (en) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then call eval_node_init_log (en, ignore_first_ll (en1, en2)) call eval_node_final_rec (en1) call eval_node_final_rec (en2) deallocate (en1, en2) else call eval_node_init_branch & (en, var_str ("lsequel"), V_LOG, en1, en2) call eval_node_set_op2_log (en, ignore_first_ll) end if pn_sequel => parse_node_get_next_ptr (pn_sequel) end do if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done lexpr" end if end subroutine eval_node_compile_lexpr @ %def eval_node_compile_lexpr @ A logical singlet expression consists of one or more logical terms concatenated by [[or]]. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_lsinglet (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_term, pn_alternative, pn_arg type(eval_node_t), pointer :: en1, en2 if (debug_active (D_MODEL_F)) then print *, "read lsinglet"; call parse_node_write (pn) end if pn_term => parse_node_get_sub_ptr (pn, tag="lterm") call eval_node_compile_lterm (en, pn_term, var_list) pn_alternative => parse_node_get_next_ptr (pn_term, tag="alternative") do while (associated (pn_alternative)) pn_arg => parse_node_get_sub_ptr (pn_alternative, 2, tag="lterm") en1 => en call eval_node_compile_lterm (en2, pn_arg, var_list) allocate (en) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then call eval_node_init_log (en, or_ll (en1, en2)) call eval_node_final_rec (en1) call eval_node_final_rec (en2) deallocate (en1, en2) else call eval_node_init_branch & (en, var_str ("alternative"), V_LOG, en1, en2) call eval_node_set_op2_log (en, or_ll) end if pn_alternative => parse_node_get_next_ptr (pn_alternative) end do if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done lsinglet" end if end subroutine eval_node_compile_lsinglet @ %def eval_node_compile_lsinglet @ A logical term consists of one or more logical values concatenated by [[and]]. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_lterm (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_term, pn_coincidence, pn_arg type(eval_node_t), pointer :: en1, en2 if (debug_active (D_MODEL_F)) then print *, "read lterm"; call parse_node_write (pn) end if pn_term => parse_node_get_sub_ptr (pn) call eval_node_compile_lvalue (en, pn_term, var_list) pn_coincidence => parse_node_get_next_ptr (pn_term, tag="coincidence") do while (associated (pn_coincidence)) pn_arg => parse_node_get_sub_ptr (pn_coincidence, 2) en1 => en call eval_node_compile_lvalue (en2, pn_arg, var_list) allocate (en) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then call eval_node_init_log (en, and_ll (en1, en2)) call eval_node_final_rec (en1) call eval_node_final_rec (en2) deallocate (en1, en2) else call eval_node_init_branch & (en, var_str ("coincidence"), V_LOG, en1, en2) call eval_node_set_op2_log (en, and_ll) end if pn_coincidence => parse_node_get_next_ptr (pn_coincidence) end do if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done lterm" end if end subroutine eval_node_compile_lterm @ %def eval_node_compile_lterm @ Logical variables are disabled, because they are confused with the l.h.s.\ of compared expressions. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_lvalue (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list if (debug_active (D_MODEL_F)) then print *, "read lvalue"; call parse_node_write (pn) end if select case (char (parse_node_get_rule_key (pn))) case ("true") allocate (en) call eval_node_init_log (en, .true.) case ("false") allocate (en) call eval_node_init_log (en, .false.) case ("negation") call eval_node_compile_negation (en, pn, var_list) case ("lvariable") call eval_node_compile_variable (en, pn, var_list, V_LOG) case ("lexpr") call eval_node_compile_lexpr (en, pn, var_list) case ("block_lexpr") call eval_node_compile_block_expr (en, pn, var_list, V_LOG) case ("conditional_lexpr") call eval_node_compile_conditional (en, pn, var_list, V_LOG) case ("compared_expr") call eval_node_compile_compared_expr (en, pn, var_list, V_REAL) case ("compared_sexpr") call eval_node_compile_compared_expr (en, pn, var_list, V_STR) case ("all_fun", "any_fun", "no_fun", "photon_isolation_fun") call eval_node_compile_log_function (en, pn, var_list) case ("record_cmd") call eval_node_compile_record_cmd (en, pn, var_list) case default call parse_node_mismatch & ("true|false|negation|lvariable|" // & "lexpr|block_lexpr|conditional_lexpr|" // & "compared_expr|compared_sexpr|logical_pexpr", pn) end select if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done lvalue" end if end subroutine eval_node_compile_lvalue @ %def eval_node_compile_lvalue @ A negation consists of the keyword [[not]] and a logical value. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_negation (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_arg type(eval_node_t), pointer :: en1 if (debug_active (D_MODEL_F)) then print *, "read negation"; call parse_node_write (pn) end if pn_arg => parse_node_get_sub_ptr (pn, 2) call eval_node_compile_lvalue (en1, pn_arg, var_list) allocate (en) if (en1%type == EN_CONSTANT) then call eval_node_init_log (en, not_l (en1)) call eval_node_final_rec (en1) deallocate (en1) else call eval_node_init_branch (en, var_str ("not"), V_LOG, en1) call eval_node_set_op1_log (en, not_l) end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done negation" end if end subroutine eval_node_compile_negation @ %def eval_node_compile_negation @ \subsubsection{Comparisons} Up to the loop, this is easy. There is always at least one comparison. This is evaluated, and the result is the logical node [[en]]. If it is constant, we keep its second sub-node as [[en2]]. (Thus, at the very end [[en2]] has to be deleted if [[en]] is (still) constant.) If there is another comparison, we first check if the first comparison was constant. In that case, there are two possibilities: (i) it was true. Then, its right-hand side is compared with the new right-hand side, and the result replaces the previous one which is deleted. (ii) it was false. In this case, the result of the whole comparison is false, and we can exit the loop without evaluating anything else. Now assume that the first comparison results in a valid branch, its second sub-node kept as [[en2]]. We first need a copy of this, which becomes the new left-hand side. If [[en2]] is constant, we make an identical constant node [[en1]]. Otherwise, we make [[en1]] an appropriate pointer node. Next, the first branch is saved as [[en0]] and we evaluate the comparison between [[en1]] and the a right-hand side. If this turns out to be constant, there are again two possibilities: (i) true, then we revert to the previous result. (ii) false, then the wh <<Eval trees: procedures>>= recursive subroutine eval_node_compile_compared_expr (en, pn, var_list, type) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list integer, intent(in) :: type type(parse_node_t), pointer :: pn_comparison, pn_expr1 type(eval_node_t), pointer :: en0, en1, en2 if (debug_active (D_MODEL_F)) then print *, "read comparison"; call parse_node_write (pn) end if select case (type) case (V_INT, V_REAL) pn_expr1 => parse_node_get_sub_ptr (pn, tag="expr") call eval_node_compile_expr (en1, pn_expr1, var_list) pn_comparison => parse_node_get_next_ptr (pn_expr1, tag="comparison") case (V_STR) pn_expr1 => parse_node_get_sub_ptr (pn, tag="sexpr") call eval_node_compile_sexpr (en1, pn_expr1, var_list) pn_comparison => parse_node_get_next_ptr (pn_expr1, tag="str_comparison") end select call eval_node_compile_comparison & (en, en1, en2, pn_comparison, var_list, type) pn_comparison => parse_node_get_next_ptr (pn_comparison) SCAN_FURTHER: do while (associated (pn_comparison)) if (en%type == EN_CONSTANT) then if (en%lval) then en1 => en2 call eval_node_final_rec (en); deallocate (en) call eval_node_compile_comparison & (en, en1, en2, pn_comparison, var_list, type) else exit SCAN_FURTHER end if else allocate (en1) if (en2%type == EN_CONSTANT) then select case (en2%result_type) case (V_INT); call eval_node_init_int (en1, en2%ival) case (V_REAL); call eval_node_init_real (en1, en2%rval) case (V_STR); call eval_node_init_string (en1, en2%sval) end select else select case (en2%result_type) case (V_INT); call eval_node_init_int_ptr & (en1, var_str ("(previous)"), en2%ival, en2%value_is_known) case (V_REAL); call eval_node_init_real_ptr & (en1, var_str ("(previous)"), en2%rval, en2%value_is_known) case (V_STR); call eval_node_init_string_ptr & (en1, var_str ("(previous)"), en2%sval, en2%value_is_known) end select end if en0 => en call eval_node_compile_comparison & (en, en1, en2, pn_comparison, var_list, type) if (en%type == EN_CONSTANT) then if (en%lval) then call eval_node_final_rec (en); deallocate (en) en => en0 else call eval_node_final_rec (en0); deallocate (en0) exit SCAN_FURTHER end if else en1 => en allocate (en) call eval_node_init_branch (en, var_str ("and"), V_LOG, en0, en1) call eval_node_set_op2_log (en, and_ll) end if end if pn_comparison => parse_node_get_next_ptr (pn_comparison) end do SCAN_FURTHER if (en%type == EN_CONSTANT .and. associated (en2)) then call eval_node_final_rec (en2); deallocate (en2) end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done compared_expr" end if end subroutine eval_node_compile_compared_expr @ %dev eval_node_compile_compared_expr @ This takes two extra arguments: [[en1]], the left-hand-side of the comparison, is already allocated and evaluated. [[en2]] (the right-hand side) and [[en]] (the result) are allocated by the routine. [[pn]] is the parse node which contains the operator and the right-hand side as subnodes. If the result of the comparison is constant, [[en1]] is deleted but [[en2]] is kept, because it may be used in a subsequent comparison. [[en]] then becomes a constant. If the result is variable, [[en]] becomes a branch node which refers to [[en1]] and [[en2]]. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_comparison & (en, en1, en2, pn, var_list, type) type(eval_node_t), pointer :: en, en1, en2 type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list integer, intent(in) :: type type(parse_node_t), pointer :: pn_op, pn_arg type(string_t) :: key integer :: t1, t2 real(default), pointer :: tolerance_ptr pn_op => parse_node_get_sub_ptr (pn) key = parse_node_get_key (pn_op) select case (type) case (V_INT, V_REAL) pn_arg => parse_node_get_next_ptr (pn_op, tag="expr") call eval_node_compile_expr (en2, pn_arg, var_list) case (V_STR) pn_arg => parse_node_get_next_ptr (pn_op, tag="sexpr") call eval_node_compile_sexpr (en2, pn_arg, var_list) end select t1 = en1%result_type t2 = en2%result_type allocate (en) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then call var_list%get_rptr (var_str ("tolerance"), tolerance_ptr) en1%tolerance => tolerance_ptr select case (char (key)) case ("<") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_log (en, comp_lt_ii (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_ll_ir (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_log (en, comp_ll_ri (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_ll_rr (en1, en2)) end select end select case (">") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_log (en, comp_gt_ii (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_gg_ir (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_log (en, comp_gg_ri (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_gg_rr (en1, en2)) end select end select case ("<=") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_log (en, comp_le_ii (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_ls_ir (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_log (en, comp_ls_ri (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_ls_rr (en1, en2)) end select end select case (">=") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_log (en, comp_ge_ii (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_gs_ir (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_log (en, comp_gs_ri (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_gs_rr (en1, en2)) end select end select case ("==") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_log (en, comp_eq_ii (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_se_ir (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_log (en, comp_se_ri (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_se_rr (en1, en2)) end select case (V_STR) select case (t2) case (V_STR); call eval_node_init_log (en, comp_eq_ss (en1, en2)) end select end select case ("<>") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_init_log (en, comp_ne_ii (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_ns_ir (en1, en2)) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_init_log (en, comp_ns_ri (en1, en2)) case (V_REAL); call eval_node_init_log (en, comp_ns_rr (en1, en2)) end select case (V_STR) select case (t2) case (V_STR); call eval_node_init_log (en, comp_ne_ss (en1, en2)) end select end select end select call eval_node_final_rec (en1) deallocate (en1) else call eval_node_init_branch (en, key, V_LOG, en1, en2) select case (char (key)) case ("<") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_lt_ii) case (V_REAL); call eval_node_set_op2_log (en, comp_ll_ir) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_ll_ri) case (V_REAL); call eval_node_set_op2_log (en, comp_ll_rr) end select end select case (">") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_gt_ii) case (V_REAL); call eval_node_set_op2_log (en, comp_gg_ir) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_gg_ri) case (V_REAL); call eval_node_set_op2_log (en, comp_gg_rr) end select end select case ("<=") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_le_ii) case (V_REAL); call eval_node_set_op2_log (en, comp_ls_ir) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_ls_ri) case (V_REAL); call eval_node_set_op2_log (en, comp_ls_rr) end select end select case (">=") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_ge_ii) case (V_REAL); call eval_node_set_op2_log (en, comp_gs_ir) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_gs_ri) case (V_REAL); call eval_node_set_op2_log (en, comp_gs_rr) end select end select case ("==") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_eq_ii) case (V_REAL); call eval_node_set_op2_log (en, comp_se_ir) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_se_ri) case (V_REAL); call eval_node_set_op2_log (en, comp_se_rr) end select case (V_STR) select case (t2) case (V_STR); call eval_node_set_op2_log (en, comp_eq_ss) end select end select case ("<>") select case (t1) case (V_INT) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_ne_ii) case (V_REAL); call eval_node_set_op2_log (en, comp_ns_ir) end select case (V_REAL) select case (t2) case (V_INT); call eval_node_set_op2_log (en, comp_ns_ri) case (V_REAL); call eval_node_set_op2_log (en, comp_ns_rr) end select case (V_STR) select case (t2) case (V_STR); call eval_node_set_op2_log (en, comp_ne_ss) end select end select end select call var_list%get_rptr (var_str ("tolerance"), tolerance_ptr) en1%tolerance => tolerance_ptr end if end subroutine eval_node_compile_comparison @ %def eval_node_compile_comparison @ \subsubsection{Recording analysis data} The [[record]] command is actually a logical expression which always evaluates [[true]]. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_record_cmd (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_key, pn_tag, pn_arg type(parse_node_t), pointer :: pn_arg1, pn_arg2, pn_arg3, pn_arg4 type(eval_node_t), pointer :: en0, en1, en2, en3, en4 real(default), pointer :: event_weight if (debug_active (D_MODEL_F)) then print *, "read record_cmd"; call parse_node_write (pn) end if pn_key => parse_node_get_sub_ptr (pn) pn_tag => parse_node_get_next_ptr (pn_key) pn_arg => parse_node_get_next_ptr (pn_tag) select case (char (parse_node_get_key (pn_key))) case ("record") call var_list%get_rptr (var_str ("event_weight"), event_weight) case ("record_unweighted") event_weight => null () case ("record_excess") call var_list%get_rptr (var_str ("event_excess"), event_weight) end select select case (char (parse_node_get_rule_key (pn_tag))) case ("analysis_id") allocate (en0) call eval_node_init_string (en0, parse_node_get_string (pn_tag)) case default call eval_node_compile_sexpr (en0, pn_tag, var_list) end select allocate (en) if (associated (pn_arg)) then pn_arg1 => parse_node_get_sub_ptr (pn_arg) call eval_node_compile_expr (en1, pn_arg1, var_list) if (en1%result_type == V_INT) & call insert_conversion_node (en1, V_REAL) pn_arg2 => parse_node_get_next_ptr (pn_arg1) if (associated (pn_arg2)) then call eval_node_compile_expr (en2, pn_arg2, var_list) if (en2%result_type == V_INT) & call insert_conversion_node (en2, V_REAL) pn_arg3 => parse_node_get_next_ptr (pn_arg2) if (associated (pn_arg3)) then call eval_node_compile_expr (en3, pn_arg3, var_list) if (en3%result_type == V_INT) & call insert_conversion_node (en3, V_REAL) pn_arg4 => parse_node_get_next_ptr (pn_arg3) if (associated (pn_arg4)) then call eval_node_compile_expr (en4, pn_arg4, var_list) if (en4%result_type == V_INT) & call insert_conversion_node (en4, V_REAL) call eval_node_init_record_cmd & (en, event_weight, en0, en1, en2, en3, en4) else call eval_node_init_record_cmd & (en, event_weight, en0, en1, en2, en3) end if else call eval_node_init_record_cmd (en, event_weight, en0, en1, en2) end if else call eval_node_init_record_cmd (en, event_weight, en0, en1) end if else call eval_node_init_record_cmd (en, event_weight, en0) end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done record_cmd" end if end subroutine eval_node_compile_record_cmd @ %def eval_node_compile_record_cmd @ \subsubsection{Particle-list expressions} A particle expression is a subevent or a concatenation of particle-list terms (using \verb|join|). <<Eval trees: procedures>>= recursive subroutine eval_node_compile_pexpr (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_pterm, pn_concatenation, pn_op, pn_arg type(eval_node_t), pointer :: en1, en2 type(subevt_t) :: subevt if (debug_active (D_MODEL_F)) then print *, "read pexpr"; call parse_node_write (pn) end if pn_pterm => parse_node_get_sub_ptr (pn) call eval_node_compile_pterm (en, pn_pterm, var_list) pn_concatenation => & parse_node_get_next_ptr (pn_pterm, tag="pconcatenation") do while (associated (pn_concatenation)) pn_op => parse_node_get_sub_ptr (pn_concatenation) pn_arg => parse_node_get_next_ptr (pn_op) en1 => en call eval_node_compile_pterm (en2, pn_arg, var_list) allocate (en) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then call subevt_join (subevt, en1%pval, en2%pval) call eval_node_init_subevt (en, subevt) call eval_node_final_rec (en1) call eval_node_final_rec (en2) deallocate (en1, en2) else call eval_node_init_branch & (en, var_str ("join"), V_SEV, en1, en2) call eval_node_set_op2_sev (en, join_pp) end if pn_concatenation => parse_node_get_next_ptr (pn_concatenation) end do if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done pexpr" end if end subroutine eval_node_compile_pexpr @ %def eval_node_compile_pexpr @ A particle term is a subevent or a combination of particle-list values (using \verb|combine|). <<Eval trees: procedures>>= recursive subroutine eval_node_compile_pterm (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_pvalue, pn_combination, pn_op, pn_arg type(eval_node_t), pointer :: en1, en2 type(subevt_t) :: subevt if (debug_active (D_MODEL_F)) then print *, "read pterm"; call parse_node_write (pn) end if pn_pvalue => parse_node_get_sub_ptr (pn) call eval_node_compile_pvalue (en, pn_pvalue, var_list) pn_combination => & parse_node_get_next_ptr (pn_pvalue, tag="pcombination") do while (associated (pn_combination)) pn_op => parse_node_get_sub_ptr (pn_combination) pn_arg => parse_node_get_next_ptr (pn_op) en1 => en call eval_node_compile_pvalue (en2, pn_arg, var_list) allocate (en) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then call subevt_combine (subevt, en1%pval, en2%pval) call eval_node_init_subevt (en, subevt) call eval_node_final_rec (en1) call eval_node_final_rec (en2) deallocate (en1, en2) else call eval_node_init_branch & (en, var_str ("combine"), V_SEV, en1, en2) call eval_node_set_op2_sev (en, combine_pp) end if pn_combination => parse_node_get_next_ptr (pn_combination) end do if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done pterm" end if end subroutine eval_node_compile_pterm @ %def eval_node_compile_pterm @ A particle-list value is a PDG-code array, a particle identifier, a variable, a (grouped) pexpr, a block pexpr, a conditional, or a particle-list function. The [[cexpr]] node is responsible for transforming a constant PDG-code array into a subevent. It takes the code array as its first argument, the event subevent as its second argument, and the requested particle type (incoming/outgoing) as its zero-th argument. The result is the list of particles in the event that match the code array. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_pvalue (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_prefix_cexpr type(eval_node_t), pointer :: en1, en2, en0 type(string_t) :: key type(subevt_t), pointer :: evt_ptr logical, pointer :: known if (debug_active (D_MODEL_F)) then print *, "read pvalue"; call parse_node_write (pn) end if select case (char (parse_node_get_rule_key (pn))) case ("pexpr_src") call eval_node_compile_prefix_cexpr (en1, pn, var_list) allocate (en2) if (var_list%contains (var_str ("@evt"))) then call var_list%get_pptr (var_str ("@evt"), evt_ptr, known) call eval_node_init_subevt_ptr (en2, var_str ("@evt"), evt_ptr, known) allocate (en) call eval_node_init_branch & (en, var_str ("prt_selection"), V_SEV, en1, en2) call eval_node_set_op2_sev (en, select_pdg_ca) allocate (en0) pn_prefix_cexpr => parse_node_get_sub_ptr (pn) key = parse_node_get_rule_key (pn_prefix_cexpr) select case (char (key)) case ("beam_prt") call eval_node_init_int (en0, PRT_BEAM) en%arg0 => en0 case ("incoming_prt") call eval_node_init_int (en0, PRT_INCOMING) en%arg0 => en0 case ("outgoing_prt") call eval_node_init_int (en0, PRT_OUTGOING) en%arg0 => en0 case ("unspecified_prt") call eval_node_init_int (en0, PRT_OUTGOING) en%arg0 => en0 end select else call parse_node_write (pn) call msg_bug (" Missing event data while compiling pvalue") end if case ("pvariable") call eval_node_compile_variable (en, pn, var_list, V_SEV) case ("pexpr") call eval_node_compile_pexpr (en, pn, var_list) case ("block_pexpr") call eval_node_compile_block_expr (en, pn, var_list, V_SEV) case ("conditional_pexpr") call eval_node_compile_conditional (en, pn, var_list, V_SEV) case ("join_fun", "combine_fun", "collect_fun", "cluster_fun", & "select_fun", "extract_fun", "sort_fun", "select_b_jet_fun", & "select_non_bjet_fun", "select_c_jet_fun", & "select_light_jet_fun", "photon_reco_fun") call eval_node_compile_prt_function (en, pn, var_list) case default call parse_node_mismatch & ("prefix_cexpr|pvariable|" // & "grouped_pexpr|block_pexpr|conditional_pexpr|" // & "prt_function", pn) end select if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done pvalue" end if end subroutine eval_node_compile_pvalue @ %def eval_node_compile_pvalue @ \subsubsection{Particle functions} This combines the treatment of 'join', 'combine', 'collect', 'cluster', 'select', and 'extract', as well as the functions for $b$, $c$ and light jet selection and photon recombnation which all have the same syntax. The one or two argument nodes are allocated. If there is a condition, the condition node is also allocated as a logical expression, for which the variable list is augmented by the appropriate (unary/binary) observables. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_prt_function (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_clause, pn_key, pn_cond, pn_args type(parse_node_t), pointer :: pn_arg0, pn_arg1, pn_arg2 type(eval_node_t), pointer :: en0, en1, en2 type(string_t) :: key if (debug_active (D_MODEL_F)) then print *, "read prt_function"; call parse_node_write (pn) end if pn_clause => parse_node_get_sub_ptr (pn) pn_key => parse_node_get_sub_ptr (pn_clause) pn_cond => parse_node_get_next_ptr (pn_key) if (associated (pn_cond)) & pn_arg0 => parse_node_get_sub_ptr (pn_cond, 2) pn_args => parse_node_get_next_ptr (pn_clause) pn_arg1 => parse_node_get_sub_ptr (pn_args) pn_arg2 => parse_node_get_next_ptr (pn_arg1) key = parse_node_get_key (pn_key) call eval_node_compile_pexpr (en1, pn_arg1, var_list) allocate (en) if (.not. associated (pn_arg2)) then select case (char (key)) case ("collect") call eval_node_init_prt_fun_unary (en, en1, key, collect_p) case ("cluster") if (fastjet_available ()) then call fastjet_init () else call msg_fatal & ("'cluster' function requires FastJet, which is not enabled") end if en1%var_list => var_list call eval_node_init_prt_fun_unary (en, en1, key, cluster_p) call var_list%get_iptr (var_str ("jet_algorithm"), en1%jet_algorithm) call var_list%get_rptr (var_str ("jet_r"), en1%jet_r) call var_list%get_rptr (var_str ("jet_p"), en1%jet_p) call var_list%get_rptr (var_str ("jet_ycut"), en1%jet_ycut) call var_list%get_rptr (var_str ("jet_dcut"), en1%jet_dcut) case ("select") call eval_node_init_prt_fun_unary (en, en1, key, select_p) case ("extract") call eval_node_init_prt_fun_unary (en, en1, key, extract_p) case ("sort") call eval_node_init_prt_fun_unary (en, en1, key, sort_p) case ("select_b_jet") call eval_node_init_prt_fun_unary (en, en1, key, select_b_jet_p) case ("select_non_b_jet") call eval_node_init_prt_fun_unary (en, en1, key, select_non_b_jet_p) case ("select_c_jet") call eval_node_init_prt_fun_unary (en, en1, key, select_c_jet_p) case ("select_light_jet") call eval_node_init_prt_fun_unary (en, en1, key, select_light_jet_p) case default call msg_bug (" Unary particle function '" // char (key) // & "' undefined") end select else call eval_node_compile_pexpr (en2, pn_arg2, var_list) select case (char (key)) case ("join") call eval_node_init_prt_fun_binary (en, en1, en2, key, join_pp) case ("combine") call eval_node_init_prt_fun_binary (en, en1, en2, key, combine_pp) case ("collect") call eval_node_init_prt_fun_binary (en, en1, en2, key, collect_pp) case ("select") call eval_node_init_prt_fun_binary (en, en1, en2, key, select_pp) case ("sort") call eval_node_init_prt_fun_binary (en, en1, en2, key, sort_pp) case ("photon_recombination") en1%var_list => var_list call eval_node_init_prt_fun_binary & (en, en1, en2, key, photon_recombination_pp) call var_list%get_rptr (var_str ("photon_rec_r0"), en1%photon_rec_r0) case default call msg_bug (" Binary particle function '" // char (key) // & "' undefined") end select end if if (associated (pn_cond)) then call eval_node_set_observables (en, var_list) select case (char (key)) case ("extract", "sort") call eval_node_compile_expr (en0, pn_arg0, en%var_list) case default call eval_node_compile_lexpr (en0, pn_arg0, en%var_list) end select en%arg0 => en0 end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done prt_function" end if end subroutine eval_node_compile_prt_function @ %def eval_node_compile_prt_function @ The [[eval]] expression is similar, but here the expression [[arg0]] is mandatory, and the whole thing evaluates to a numeric value. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_eval_function (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_key, pn_arg0, pn_args, pn_arg1, pn_arg2 type(eval_node_t), pointer :: en0, en1, en2 type(string_t) :: key if (debug_active (D_MODEL_F)) then print *, "read eval_function"; call parse_node_write (pn) end if pn_key => parse_node_get_sub_ptr (pn) pn_arg0 => parse_node_get_next_ptr (pn_key) pn_args => parse_node_get_next_ptr (pn_arg0) pn_arg1 => parse_node_get_sub_ptr (pn_args) pn_arg2 => parse_node_get_next_ptr (pn_arg1) key = parse_node_get_key (pn_key) call eval_node_compile_pexpr (en1, pn_arg1, var_list) allocate (en) if (.not. associated (pn_arg2)) then call eval_node_init_eval_fun_unary (en, en1, key) else call eval_node_compile_pexpr (en2, pn_arg2, var_list) call eval_node_init_eval_fun_binary (en, en1, en2, key) end if call eval_node_set_observables (en, var_list) call eval_node_compile_expr (en0, pn_arg0, en%var_list) if (en0%result_type /= V_REAL) & call msg_fatal (" 'eval' function does not result in real value") call eval_node_set_expr (en, en0) if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done eval_function" end if end subroutine eval_node_compile_eval_function @ %def eval_node_compile_eval_function @ Logical functions of subevents. For [[photon_isolation]] there is a conditional selection expression instead of a mandatory logical expression, so in the case of the absence of the selection we have to create a logical [[eval_node_t]] with value [[.true.]]. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_log_function (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_clause, pn_key, pn_str, pn_cond type(parse_node_t), pointer :: pn_arg0, pn_args, pn_arg1, pn_arg2 type(eval_node_t), pointer :: en0, en1, en2 type(string_t) :: key if (debug_active (D_MODEL_F)) then print *, "read log_function"; call parse_node_write (pn) end if select case (char (parse_node_get_rule_key (pn))) case ("all_fun", "any_fun", "no_fun") pn_key => parse_node_get_sub_ptr (pn) pn_arg0 => parse_node_get_next_ptr (pn_key) pn_args => parse_node_get_next_ptr (pn_arg0) case ("photon_isolation_fun") pn_clause => parse_node_get_sub_ptr (pn) pn_key => parse_node_get_sub_ptr (pn_clause) pn_cond => parse_node_get_next_ptr (pn_key) if (associated (pn_cond)) then pn_arg0 => parse_node_get_sub_ptr (pn_cond, 2) else pn_arg0 => null () end if pn_args => parse_node_get_next_ptr (pn_clause) case default call parse_node_mismatch ("all_fun|any_fun|" // & "no_fun|photon_isolation_fun", pn) end select pn_arg1 => parse_node_get_sub_ptr (pn_args) pn_arg2 => parse_node_get_next_ptr (pn_arg1) key = parse_node_get_key (pn_key) call eval_node_compile_pexpr (en1, pn_arg1, var_list) allocate (en) if (.not. associated (pn_arg2)) then select case (char (key)) case ("all") call eval_node_init_log_fun_unary (en, en1, key, all_p) case ("any") call eval_node_init_log_fun_unary (en, en1, key, any_p) case ("no") call eval_node_init_log_fun_unary (en, en1, key, no_p) case default call msg_bug ("Unary logical particle function '" // char (key) // & "' undefined") end select else call eval_node_compile_pexpr (en2, pn_arg2, var_list) select case (char (key)) case ("all") call eval_node_init_log_fun_binary (en, en1, en2, key, all_pp) case ("any") call eval_node_init_log_fun_binary (en, en1, en2, key, any_pp) case ("no") call eval_node_init_log_fun_binary (en, en1, en2, key, no_pp) case ("photon_isolation") en1%var_list => var_list call var_list%get_rptr (var_str ("photon_iso_eps"), en1%photon_iso_eps) call var_list%get_rptr (var_str ("photon_iso_n"), en1%photon_iso_n) call var_list%get_rptr (var_str ("photon_iso_r0"), en1%photon_iso_r0) call eval_node_init_log_fun_binary (en, en1, en2, key, photon_isolation_pp) case default call msg_bug ("Binary logical particle function '" // char (key) // & "' undefined") end select end if if (associated (pn_arg0)) then call eval_node_set_observables (en, var_list) select case (char (key)) case ("all", "any", "no", "photon_isolation") call eval_node_compile_lexpr (en0, pn_arg0, en%var_list) case default call msg_bug ("Compiling logical particle function: missing mode") end select call eval_node_set_expr (en, en0, V_LOG) else select case (char (key)) case ("photon_isolation") allocate (en0) call eval_node_init_log (en0, .true.) call eval_node_set_expr (en, en0, V_LOG) case default call msg_bug ("Only photon isolation can be called unconditionally") end select end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done log_function" end if end subroutine eval_node_compile_log_function @ %def eval_node_compile_log_function @ Numeric functions of subevents. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_numeric_function (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_clause, pn_key, pn_cond, pn_args type(parse_node_t), pointer :: pn_arg0, pn_arg1, pn_arg2 type(eval_node_t), pointer :: en0, en1, en2 type(string_t) :: key if (debug_active (D_MODEL_F)) then print *, "read numeric_function"; call parse_node_write (pn) end if select case (char (parse_node_get_rule_key (pn))) case ("count_fun") pn_clause => parse_node_get_sub_ptr (pn) pn_key => parse_node_get_sub_ptr (pn_clause) pn_cond => parse_node_get_next_ptr (pn_key) if (associated (pn_cond)) then pn_arg0 => parse_node_get_sub_ptr (pn_cond, 2) else pn_arg0 => null () end if pn_args => parse_node_get_next_ptr (pn_clause) end select pn_arg1 => parse_node_get_sub_ptr (pn_args) pn_arg2 => parse_node_get_next_ptr (pn_arg1) key = parse_node_get_key (pn_key) call eval_node_compile_pexpr (en1, pn_arg1, var_list) allocate (en) if (.not. associated (pn_arg2)) then select case (char (key)) case ("count") call eval_node_init_int_fun_unary (en, en1, key, count_a) case default call msg_bug ("Unary subevent function '" // char (key) // & "' undefined") end select else call eval_node_compile_pexpr (en2, pn_arg2, var_list) select case (char (key)) case ("count") call eval_node_init_int_fun_binary (en, en1, en2, key, count_pp) case default call msg_bug ("Binary subevent function '" // char (key) // & "' undefined") end select end if if (associated (pn_arg0)) then call eval_node_set_observables (en, var_list) select case (char (key)) case ("count") call eval_node_compile_lexpr (en0, pn_arg0, en%var_list) call eval_node_set_expr (en, en0, V_INT) end select end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done numeric_function" end if end subroutine eval_node_compile_numeric_function @ %def eval_node_compile_numeric_function @ \subsubsection{PDG-code arrays} A PDG-code expression is (optionally) prefixed by [[beam]], [[incoming]], or [[outgoing]], a block, or a conditional. In any case, it evaluates to a constant. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_prefix_cexpr (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_avalue, pn_prt type(string_t) :: key if (debug_active (D_MODEL_F)) then print *, "read prefix_cexpr"; call parse_node_write (pn) end if pn_avalue => parse_node_get_sub_ptr (pn) key = parse_node_get_rule_key (pn_avalue) select case (char (key)) case ("beam_prt") pn_prt => parse_node_get_sub_ptr (pn_avalue, 2) call eval_node_compile_cexpr (en, pn_prt, var_list) case ("incoming_prt") pn_prt => parse_node_get_sub_ptr (pn_avalue, 2) call eval_node_compile_cexpr (en, pn_prt, var_list) case ("outgoing_prt") pn_prt => parse_node_get_sub_ptr (pn_avalue, 2) call eval_node_compile_cexpr (en, pn_prt, var_list) case ("unspecified_prt") pn_prt => parse_node_get_sub_ptr (pn_avalue, 1) call eval_node_compile_cexpr (en, pn_prt, var_list) case default call parse_node_mismatch & ("beam_prt|incoming_prt|outgoing_prt|unspecified_prt", & pn_avalue) end select if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done prefix_cexpr" end if end subroutine eval_node_compile_prefix_cexpr @ %def eval_node_compile_prefix_cexpr @ A PDG array is a string of PDG code definitions (or aliases), concatenated by ':'. The code definitions may be variables which are not defined at compile time, so we have to allocate sub-nodes. This analogous to [[eval_node_compile_term]]. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_cexpr (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_prt, pn_concatenation type(eval_node_t), pointer :: en1, en2 type(pdg_array_t) :: aval if (debug_active (D_MODEL_F)) then print *, "read cexpr"; call parse_node_write (pn) end if pn_prt => parse_node_get_sub_ptr (pn) call eval_node_compile_avalue (en, pn_prt, var_list) pn_concatenation => parse_node_get_next_ptr (pn_prt) do while (associated (pn_concatenation)) pn_prt => parse_node_get_sub_ptr (pn_concatenation, 2) en1 => en call eval_node_compile_avalue (en2, pn_prt, var_list) allocate (en) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then call concat_cc (aval, en1, en2) call eval_node_init_pdg_array (en, aval) call eval_node_final_rec (en1) call eval_node_final_rec (en2) deallocate (en1, en2) else call eval_node_init_branch (en, var_str (":"), V_PDG, en1, en2) call eval_node_set_op2_pdg (en, concat_cc) end if pn_concatenation => parse_node_get_next_ptr (pn_concatenation) end do if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done cexpr" end if end subroutine eval_node_compile_cexpr @ %def eval_node_compile_cexpr @ Compile a PDG-code type value. It may be either an integer expression or a variable of type PDG array, optionally quoted. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_avalue (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list if (debug_active (D_MODEL_F)) then print *, "read avalue"; call parse_node_write (pn) end if select case (char (parse_node_get_rule_key (pn))) case ("pdg_code") call eval_node_compile_pdg_code (en, pn, var_list) case ("cvariable", "variable", "prt_name") call eval_node_compile_cvariable (en, pn, var_list) case ("cexpr") call eval_node_compile_cexpr (en, pn, var_list) case ("block_cexpr") call eval_node_compile_block_expr (en, pn, var_list, V_PDG) case ("conditional_cexpr") call eval_node_compile_conditional (en, pn, var_list, V_PDG) case default call parse_node_mismatch & ("grouped_cexpr|block_cexpr|conditional_cexpr|" // & "pdg_code|cvariable|prt_name", pn) end select if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done avalue" end if end subroutine eval_node_compile_avalue @ %def eval_node_compile_avalue @ Compile a PDG-code expression, which is the key [[PDG]] with an integer expression as argument. The procedure is analogous to [[eval_node_compile_unary_function]]. <<Eval trees: procedures>>= subroutine eval_node_compile_pdg_code (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in), target :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_arg type(eval_node_t), pointer :: en1 type(string_t) :: key type(pdg_array_t) :: aval integer :: t if (debug_active (D_MODEL_F)) then print *, "read PDG code"; call parse_node_write (pn) end if pn_arg => parse_node_get_sub_ptr (pn, 2) call eval_node_compile_expr & (en1, parse_node_get_sub_ptr (pn_arg, tag="expr"), var_list) t = en1%result_type allocate (en) key = "PDG" if (en1%type == EN_CONSTANT) then select case (t) case (V_INT) call pdg_i (aval, en1) call eval_node_init_pdg_array (en, aval) case default; call eval_type_error (pn, char (key), t) end select call eval_node_final_rec (en1) deallocate (en1) else select case (t) case (V_INT); call eval_node_set_op1_pdg (en, pdg_i) case default; call eval_type_error (pn, char (key), t) end select end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done function" end if end subroutine eval_node_compile_pdg_code @ %def eval_node_compile_pdg_code @ This is entirely analogous to [[eval_node_compile_variable]]. However, PDG-array variables occur in different contexts. To avoid name clashes between PDG-array variables and ordinary variables, we prepend a character ([[*]]). This is not visible to the user. <<Eval trees: procedures>>= subroutine eval_node_compile_cvariable (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in), target :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_name type(string_t) :: var_name type(pdg_array_t), pointer :: aptr type(pdg_array_t), target, save :: no_aval logical, pointer :: known logical, target, save :: unknown = .false. if (debug_active (D_MODEL_F)) then print *, "read cvariable"; call parse_node_write (pn) end if pn_name => pn var_name = parse_node_get_string (pn_name) allocate (en) if (var_list%contains (var_name)) then call var_list%get_aptr (var_name, aptr, known) call eval_node_init_pdg_array_ptr (en, var_name, aptr, known) else call parse_node_write (pn) call msg_error ("This PDG-array variable is undefined at this point") call eval_node_init_pdg_array_ptr (en, var_name, no_aval, unknown) end if if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done cvariable" end if end subroutine eval_node_compile_cvariable @ %def eval_node_compile_cvariable @ \subsubsection{String expressions} A string expression is either a string value or a concatenation of string values. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_sexpr (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_svalue, pn_concatenation, pn_op, pn_arg type(eval_node_t), pointer :: en1, en2 type(string_t) :: string if (debug_active (D_MODEL_F)) then print *, "read sexpr"; call parse_node_write (pn) end if pn_svalue => parse_node_get_sub_ptr (pn) call eval_node_compile_svalue (en, pn_svalue, var_list) pn_concatenation => & parse_node_get_next_ptr (pn_svalue, tag="str_concatenation") do while (associated (pn_concatenation)) pn_op => parse_node_get_sub_ptr (pn_concatenation) pn_arg => parse_node_get_next_ptr (pn_op) en1 => en call eval_node_compile_svalue (en2, pn_arg, var_list) allocate (en) if (en1%type == EN_CONSTANT .and. en2%type == EN_CONSTANT) then call concat_ss (string, en1, en2) call eval_node_init_string (en, string) call eval_node_final_rec (en1) call eval_node_final_rec (en2) deallocate (en1, en2) else call eval_node_init_branch & (en, var_str ("concat"), V_STR, en1, en2) call eval_node_set_op2_str (en, concat_ss) end if pn_concatenation => parse_node_get_next_ptr (pn_concatenation) end do if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done sexpr" end if end subroutine eval_node_compile_sexpr @ %def eval_node_compile_sexpr @ A string value is a string literal, a variable, a (grouped) sexpr, a block sexpr, or a conditional. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_svalue (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list if (debug_active (D_MODEL_F)) then print *, "read svalue"; call parse_node_write (pn) end if select case (char (parse_node_get_rule_key (pn))) case ("svariable") call eval_node_compile_variable (en, pn, var_list, V_STR) case ("sexpr") call eval_node_compile_sexpr (en, pn, var_list) case ("block_sexpr") call eval_node_compile_block_expr (en, pn, var_list, V_STR) case ("conditional_sexpr") call eval_node_compile_conditional (en, pn, var_list, V_STR) case ("sprintf_fun") call eval_node_compile_sprintf (en, pn, var_list) case ("string_literal") allocate (en) call eval_node_init_string (en, parse_node_get_string (pn)) case default call parse_node_mismatch & ("svariable|" // & "grouped_sexpr|block_sexpr|conditional_sexpr|" // & "string_function|string_literal", pn) end select if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done svalue" end if end subroutine eval_node_compile_svalue @ %def eval_node_compile_svalue @ There is currently one string function, [[sprintf]]. For [[sprintf]], the first argument (no brackets) is the format string, the optional arguments in brackets are the expressions or variables to be formatted. <<Eval trees: procedures>>= recursive subroutine eval_node_compile_sprintf (en, pn, var_list) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_clause, pn_key, pn_args type(parse_node_t), pointer :: pn_arg0 type(eval_node_t), pointer :: en0, en1 integer :: n_args type(string_t) :: key if (debug_active (D_MODEL_F)) then print *, "read sprintf_fun"; call parse_node_write (pn) end if pn_clause => parse_node_get_sub_ptr (pn) pn_key => parse_node_get_sub_ptr (pn_clause) pn_arg0 => parse_node_get_next_ptr (pn_key) pn_args => parse_node_get_next_ptr (pn_clause) call eval_node_compile_sexpr (en0, pn_arg0, var_list) if (associated (pn_args)) then call eval_node_compile_sprintf_args (en1, pn_args, var_list, n_args) else n_args = 0 en1 => null () end if allocate (en) key = parse_node_get_key (pn_key) call eval_node_init_format_string (en, en0, en1, key, n_args) if (debug_active (D_MODEL_F)) then call eval_node_write (en) print *, "done sprintf_fun" end if end subroutine eval_node_compile_sprintf @ %def eval_node_compile_sprintf <<Eval trees: procedures>>= subroutine eval_node_compile_sprintf_args (en, pn, var_list, n_args) type(eval_node_t), pointer :: en type(parse_node_t), intent(in) :: pn type(var_list_t), intent(in), target :: var_list integer, intent(out) :: n_args type(parse_node_t), pointer :: pn_arg integer :: i type(eval_node_t), pointer :: en1, en2 n_args = parse_node_get_n_sub (pn) en => null () do i = n_args, 1, -1 pn_arg => parse_node_get_sub_ptr (pn, i) select case (char (parse_node_get_rule_key (pn_arg))) case ("lvariable") call eval_node_compile_variable (en1, pn_arg, var_list, V_LOG) case ("svariable") call eval_node_compile_variable (en1, pn_arg, var_list, V_STR) case ("expr") call eval_node_compile_expr (en1, pn_arg, var_list) case default call parse_node_mismatch ("variable|svariable|lvariable|expr", pn_arg) end select if (associated (en)) then en2 => en allocate (en) call eval_node_init_branch & (en, var_str ("sprintf_arg"), V_NONE, en1, en2) else allocate (en) call eval_node_init_branch & (en, var_str ("sprintf_arg"), V_NONE, en1) end if end do end subroutine eval_node_compile_sprintf_args @ %def eval_node_compile_sprintf_args @ Evaluation. We allocate the argument list and apply the Fortran wrapper for the [[sprintf]] function. <<Eval trees: procedures>>= subroutine evaluate_sprintf (string, n_args, en_fmt, en_arg) type(string_t), intent(out) :: string integer, intent(in) :: n_args type(eval_node_t), pointer :: en_fmt type(eval_node_t), intent(in), optional, target :: en_arg type(eval_node_t), pointer :: en_branch, en_var type(sprintf_arg_t), dimension(:), allocatable :: arg type(string_t) :: fmt logical :: autoformat integer :: i, j, sprintf_argc autoformat = .not. associated (en_fmt) if (autoformat) fmt = "" if (present (en_arg)) then sprintf_argc = 0 en_branch => en_arg do i = 1, n_args select case (en_branch%arg1%result_type) case (V_CMPLX); sprintf_argc = sprintf_argc + 2 case default ; sprintf_argc = sprintf_argc + 1 end select en_branch => en_branch%arg2 end do allocate (arg (sprintf_argc)) j = 1 en_branch => en_arg do i = 1, n_args en_var => en_branch%arg1 select case (en_var%result_type) case (V_LOG) call sprintf_arg_init (arg(j), en_var%lval) if (autoformat) fmt = fmt // "%s " case (V_INT); call sprintf_arg_init (arg(j), en_var%ival) if (autoformat) fmt = fmt // "%i " case (V_REAL); call sprintf_arg_init (arg(j), en_var%rval) if (autoformat) fmt = fmt // "%g " case (V_STR) call sprintf_arg_init (arg(j), en_var%sval) if (autoformat) fmt = fmt // "%s " case (V_CMPLX) call sprintf_arg_init (arg(j), real (en_var%cval, default)) j = j + 1 call sprintf_arg_init (arg(j), aimag (en_var%cval)) if (autoformat) fmt = fmt // "(%g + %g * I) " case default call eval_node_write (en_var) call msg_error ("sprintf is implemented " & // "for logical, integer, real, and string values only") end select j = j + 1 en_branch => en_branch%arg2 end do else allocate (arg(0)) end if if (autoformat) then string = sprintf (trim (fmt), arg) else string = sprintf (en_fmt%sval, arg) end if end subroutine evaluate_sprintf @ %def evaluate_sprintf @ \subsection{Auxiliary functions for the compiler} Issue an error that the current node could not be compiled because of type mismatch: <<Eval trees: procedures>>= subroutine eval_type_error (pn, string, t) type(parse_node_t), intent(in) :: pn character(*), intent(in) :: string integer, intent(in) :: t type(string_t) :: type select case (t) case (V_NONE); type = "(none)" case (V_LOG); type = "'logical'" case (V_INT); type = "'integer'" case (V_REAL); type = "'real'" case (V_CMPLX); type = "'complex'" case default; type = "(unknown)" end select call parse_node_write (pn) call msg_fatal (" The " // string // & " operation is not defined for the given argument type " // & char (type)) end subroutine eval_type_error @ %def eval_type_error @ If two numerics are combined, the result is integer if both arguments are integer, if one is integer and the other real or both are real, than its argument is real, otherwise complex. <<Eval trees: procedures>>= function numeric_result_type (t1, t2) result (t) integer, intent(in) :: t1, t2 integer :: t if (t1 == V_INT .and. t2 == V_INT) then t = V_INT else if (t1 == V_INT .and. t2 == V_REAL) then t = V_REAL else if (t1 == V_REAL .and. t2 == V_INT) then t = V_REAL else if (t1 == V_REAL .and. t2 == V_REAL) then t = V_REAL else t = V_CMPLX end if end function numeric_result_type @ %def numeric_type @ \subsection{Evaluation} Evaluation is done recursively. For leaf nodes nothing is to be done. Evaluating particle-list functions: First, we evaluate the particle lists. If a condition is present, we assign the particle pointers of the condition node to the allocated particle entries in the parent node, keeping in mind that the observables in the variable stack used for the evaluation of the condition also contain pointers to these entries. Then, the assigned procedure is evaluated, which sets the subevent in the parent node. If required, the procedure evaluates the condition node once for each (pair of) particles to determine the result. <<Eval trees: procedures>>= recursive subroutine eval_node_evaluate (en) type(eval_node_t), intent(inout) :: en logical :: exist select case (en%type) case (EN_UNARY) if (associated (en%arg1)) then call eval_node_evaluate (en%arg1) en%value_is_known = en%arg1%value_is_known else en%value_is_known = .false. end if if (en%value_is_known) then select case (en%result_type) case (V_LOG); en%lval = en%op1_log (en%arg1) case (V_INT); en%ival = en%op1_int (en%arg1) case (V_REAL); en%rval = en%op1_real (en%arg1) case (V_CMPLX); en%cval = en%op1_cmplx (en%arg1) case (V_PDG); call en%op1_pdg (en%aval, en%arg1) case (V_SEV) if (associated (en%arg0)) then call en%op1_sev (en%pval, en%arg1, en%arg0) else call en%op1_sev (en%pval, en%arg1) end if case (V_STR) call en%op1_str (en%sval, en%arg1) end select end if case (EN_BINARY) if (associated (en%arg1) .and. associated (en%arg2)) then call eval_node_evaluate (en%arg1) call eval_node_evaluate (en%arg2) en%value_is_known = & en%arg1%value_is_known .and. en%arg2%value_is_known else en%value_is_known = .false. end if if (en%value_is_known) then select case (en%result_type) case (V_LOG); en%lval = en%op2_log (en%arg1, en%arg2) case (V_INT); en%ival = en%op2_int (en%arg1, en%arg2) case (V_REAL); en%rval = en%op2_real (en%arg1, en%arg2) case (V_CMPLX); en%cval = en%op2_cmplx (en%arg1, en%arg2) case (V_PDG) call en%op2_pdg (en%aval, en%arg1, en%arg2) case (V_SEV) if (associated (en%arg0)) then call en%op2_sev (en%pval, en%arg1, en%arg2, en%arg0) else call en%op2_sev (en%pval, en%arg1, en%arg2) end if case (V_STR) call en%op2_str (en%sval, en%arg1, en%arg2) end select end if case (EN_BLOCK) if (associated (en%arg1) .and. associated (en%arg0)) then call eval_node_evaluate (en%arg1) call eval_node_evaluate (en%arg0) en%value_is_known = en%arg0%value_is_known else en%value_is_known = .false. end if if (en%value_is_known) then select case (en%result_type) case (V_LOG); en%lval = en%arg0%lval case (V_INT); en%ival = en%arg0%ival case (V_REAL); en%rval = en%arg0%rval case (V_CMPLX); en%cval = en%arg0%cval case (V_PDG); en%aval = en%arg0%aval case (V_SEV); en%pval = en%arg0%pval case (V_STR); en%sval = en%arg0%sval end select end if case (EN_CONDITIONAL) if (associated (en%arg0)) then call eval_node_evaluate (en%arg0) en%value_is_known = en%arg0%value_is_known else en%value_is_known = .false. end if if (en%arg0%value_is_known) then if (en%arg0%lval) then call eval_node_evaluate (en%arg1) en%value_is_known = en%arg1%value_is_known if (en%value_is_known) then select case (en%result_type) case (V_LOG); en%lval = en%arg1%lval case (V_INT); en%ival = en%arg1%ival case (V_REAL); en%rval = en%arg1%rval case (V_CMPLX); en%cval = en%arg1%cval case (V_PDG); en%aval = en%arg1%aval case (V_SEV); en%pval = en%arg1%pval case (V_STR); en%sval = en%arg1%sval end select end if else call eval_node_evaluate (en%arg2) en%value_is_known = en%arg2%value_is_known if (en%value_is_known) then select case (en%result_type) case (V_LOG); en%lval = en%arg2%lval case (V_INT); en%ival = en%arg2%ival case (V_REAL); en%rval = en%arg2%rval case (V_CMPLX); en%cval = en%arg2%cval case (V_PDG); en%aval = en%arg2%aval case (V_SEV); en%pval = en%arg2%pval case (V_STR); en%sval = en%arg2%sval end select end if end if end if case (EN_RECORD_CMD) exist = .true. en%lval = .false. call eval_node_evaluate (en%arg0) if (en%arg0%value_is_known) then if (associated (en%arg1)) then call eval_node_evaluate (en%arg1) if (en%arg1%value_is_known) then if (associated (en%arg2)) then call eval_node_evaluate (en%arg2) if (en%arg2%value_is_known) then if (associated (en%arg3)) then call eval_node_evaluate (en%arg3) if (en%arg3%value_is_known) then if (associated (en%arg4)) then call eval_node_evaluate (en%arg4) if (en%arg4%value_is_known) then if (associated (en%rval)) then call analysis_record_data (en%arg0%sval, & en%arg1%rval, en%arg2%rval, & en%arg3%rval, en%arg4%rval, & weight=en%rval, exist=exist, & success=en%lval) else call analysis_record_data (en%arg0%sval, & en%arg1%rval, en%arg2%rval, & en%arg3%rval, en%arg4%rval, & exist=exist, success=en%lval) end if end if else if (associated (en%rval)) then call analysis_record_data (en%arg0%sval, & en%arg1%rval, en%arg2%rval, & en%arg3%rval, & weight=en%rval, exist=exist, & success=en%lval) else call analysis_record_data (en%arg0%sval, & en%arg1%rval, en%arg2%rval, & en%arg3%rval, & exist=exist, success=en%lval) end if end if end if else if (associated (en%rval)) then call analysis_record_data (en%arg0%sval, & en%arg1%rval, en%arg2%rval, & weight=en%rval, exist=exist, & success=en%lval) else call analysis_record_data (en%arg0%sval, & en%arg1%rval, en%arg2%rval, & exist=exist, success=en%lval) end if end if end if else if (associated (en%rval)) then call analysis_record_data (en%arg0%sval, & en%arg1%rval, & weight=en%rval, exist=exist, success=en%lval) else call analysis_record_data (en%arg0%sval, & en%arg1%rval, & exist=exist, success=en%lval) end if end if end if else if (associated (en%rval)) then call analysis_record_data (en%arg0%sval, 1._default, & weight=en%rval, exist=exist, success=en%lval) else call analysis_record_data (en%arg0%sval, 1._default, & exist=exist, success=en%lval) end if end if if (.not. exist) then call msg_error ("Analysis object '" // char (en%arg0%sval) & // "' is undefined") en%arg0%value_is_known = .false. end if end if case (EN_OBS1_INT) en%ival = en%obs1_int (en%prt1) en%value_is_known = .true. case (EN_OBS2_INT) en%ival = en%obs2_int (en%prt1, en%prt2) en%value_is_known = .true. case (EN_OBS1_REAL) en%rval = en%obs1_real (en%prt1) en%value_is_known = .true. case (EN_OBS2_REAL) en%rval = en%obs2_real (en%prt1, en%prt2) en%value_is_known = .true. case (EN_PRT_FUN_UNARY) call eval_node_evaluate (en%arg1) en%value_is_known = en%arg1%value_is_known if (en%value_is_known) then if (associated (en%arg0)) then en%arg0%index => en%index en%arg0%prt1 => en%prt1 call en%op1_sev (en%pval, en%arg1, en%arg0) else call en%op1_sev (en%pval, en%arg1) end if end if case (EN_PRT_FUN_BINARY) call eval_node_evaluate (en%arg1) call eval_node_evaluate (en%arg2) en%value_is_known = & en%arg1%value_is_known .and. en%arg2%value_is_known if (en%value_is_known) then if (associated (en%arg0)) then en%arg0%index => en%index en%arg0%prt1 => en%prt1 en%arg0%prt2 => en%prt2 call en%op2_sev (en%pval, en%arg1, en%arg2, en%arg0) else call en%op2_sev (en%pval, en%arg1, en%arg2) end if end if case (EN_EVAL_FUN_UNARY) call eval_node_evaluate (en%arg1) en%value_is_known = subevt_is_nonempty (en%arg1%pval) if (en%value_is_known) then en%arg0%index => en%index en%index = 1 en%arg0%prt1 => en%prt1 en%prt1 = subevt_get_prt (en%arg1%pval, 1) call eval_node_evaluate (en%arg0) en%rval = en%arg0%rval end if case (EN_EVAL_FUN_BINARY) call eval_node_evaluate (en%arg1) call eval_node_evaluate (en%arg2) en%value_is_known = & subevt_is_nonempty (en%arg1%pval) .and. & subevt_is_nonempty (en%arg2%pval) if (en%value_is_known) then en%arg0%index => en%index en%arg0%prt1 => en%prt1 en%arg0%prt2 => en%prt2 en%index = 1 call eval_pp (en%arg1, en%arg2, en%arg0, en%rval, en%value_is_known) end if case (EN_LOG_FUN_UNARY) call eval_node_evaluate (en%arg1) en%value_is_known = .true. if (en%value_is_known) then en%arg0%index => en%index en%arg0%prt1 => en%prt1 en%lval = en%op1_cut (en%arg1, en%arg0) end if case (EN_LOG_FUN_BINARY) call eval_node_evaluate (en%arg1) call eval_node_evaluate (en%arg2) en%value_is_known = .true. if (en%value_is_known) then en%arg0%index => en%index en%arg0%prt1 => en%prt1 en%arg0%prt2 => en%prt2 en%lval = en%op2_cut (en%arg1, en%arg2, en%arg0) end if case (EN_INT_FUN_UNARY) call eval_node_evaluate (en%arg1) en%value_is_known = en%arg1%value_is_known if (en%value_is_known) then if (associated (en%arg0)) then en%arg0%index => en%index en%arg0%prt1 => en%prt1 call en%op1_evi (en%ival, en%arg1, en%arg0) else call en%op1_evi (en%ival, en%arg1) end if end if case (EN_INT_FUN_BINARY) call eval_node_evaluate (en%arg1) call eval_node_evaluate (en%arg2) en%value_is_known = & en%arg1%value_is_known .and. & en%arg2%value_is_known if (en%value_is_known) then if (associated (en%arg0)) then en%arg0%index => en%index en%arg0%prt1 => en%prt1 en%arg0%prt2 => en%prt2 call en%op2_evi (en%ival, en%arg1, en%arg2, en%arg0) else call en%op2_evi (en%ival, en%arg1, en%arg2) end if end if case (EN_REAL_FUN_UNARY) call eval_node_evaluate (en%arg1) en%value_is_known = en%arg1%value_is_known if (en%value_is_known) then if (associated (en%arg0)) then en%arg0%index => en%index en%arg0%prt1 => en%prt1 call en%op1_evr (en%rval, en%arg1, en%arg0) else call en%op1_evr (en%rval, en%arg1) end if end if case (EN_REAL_FUN_BINARY) call eval_node_evaluate (en%arg1) call eval_node_evaluate (en%arg2) en%value_is_known = & en%arg1%value_is_known .and. & en%arg2%value_is_known if (en%value_is_known) then if (associated (en%arg0)) then en%arg0%index => en%index en%arg0%prt1 => en%prt1 en%arg0%prt2 => en%prt2 call en%op2_evr (en%rval, en%arg1, en%arg2, en%arg0) else call en%op2_evr (en%rval, en%arg1, en%arg2) end if end if case (EN_FORMAT_STR) if (associated (en%arg0)) then call eval_node_evaluate (en%arg0) en%value_is_known = en%arg0%value_is_known else en%value_is_known = .true. end if if (associated (en%arg1)) then call eval_node_evaluate (en%arg1) en%value_is_known = & en%value_is_known .and. en%arg1%value_is_known if (en%value_is_known) then call evaluate_sprintf (en%sval, en%ival, en%arg0, en%arg1) end if else if (en%value_is_known) then call evaluate_sprintf (en%sval, en%ival, en%arg0) end if end if end select if (debug2_active (D_MODEL_F)) then print *, "eval_node_evaluate" call eval_node_write (en) end if end subroutine eval_node_evaluate @ %def eval_node_evaluate @ \subsubsection{Test method} This is called from a unit test: initialize a particular observable. <<Eval trees: eval node: TBP>>= procedure :: test_obs => eval_node_test_obs <<Eval trees: procedures>>= subroutine eval_node_test_obs (node, var_list, var_name) class(eval_node_t), intent(inout) :: node type(var_list_t), intent(in) :: var_list type(string_t), intent(in) :: var_name procedure(obs_unary_int), pointer :: obs1_iptr type(prt_t), pointer :: p1 call var_list%get_obs1_iptr (var_name, obs1_iptr, p1) call eval_node_init_obs1_int_ptr (node, var_name, obs1_iptr, p1) end subroutine eval_node_test_obs @ %def eval_node_test_obs @ \subsection{Evaluation syntax} We have two different flavors of the syntax: with and without particles. <<Eval trees: public>>= public :: syntax_expr public :: syntax_pexpr <<Eval trees: variables>>= type(syntax_t), target, save :: syntax_expr type(syntax_t), target, save :: syntax_pexpr @ %def syntax_expr syntax_pexpr @ These are for testing only and may be removed: <<Eval trees: public>>= public :: syntax_expr_init public :: syntax_pexpr_init <<Eval trees: procedures>>= subroutine syntax_expr_init () type(ifile_t) :: ifile call define_expr_syntax (ifile, particles=.false., analysis=.false.) call syntax_init (syntax_expr, ifile) call ifile_final (ifile) end subroutine syntax_expr_init subroutine syntax_pexpr_init () type(ifile_t) :: ifile call define_expr_syntax (ifile, particles=.true., analysis=.false.) call syntax_init (syntax_pexpr, ifile) call ifile_final (ifile) end subroutine syntax_pexpr_init @ %def syntax_expr_init syntax_pexpr_init <<Eval trees: public>>= public :: syntax_expr_final public :: syntax_pexpr_final <<Eval trees: procedures>>= subroutine syntax_expr_final () call syntax_final (syntax_expr) end subroutine syntax_expr_final subroutine syntax_pexpr_final () call syntax_final (syntax_pexpr) end subroutine syntax_pexpr_final @ %def syntax_expr_final syntax_pexpr_final <<Eval trees: public>>= public :: syntax_pexpr_write <<Eval trees: procedures>>= subroutine syntax_pexpr_write (unit) integer, intent(in), optional :: unit call syntax_write (syntax_pexpr, unit) end subroutine syntax_pexpr_write @ %def syntax_pexpr_write <<Eval trees: public>>= public :: define_expr_syntax @ Numeric expressions. <<Eval trees: procedures>>= subroutine define_expr_syntax (ifile, particles, analysis) type(ifile_t), intent(inout) :: ifile logical, intent(in) :: particles, analysis type(string_t) :: numeric_pexpr type(string_t) :: var_plist, var_alias if (particles) then numeric_pexpr = " | numeric_pexpr" var_plist = " | var_plist" var_alias = " | var_alias" else numeric_pexpr = "" var_plist = "" var_alias = "" end if call ifile_append (ifile, "SEQ expr = subexpr addition*") call ifile_append (ifile, "ALT subexpr = addition | term") call ifile_append (ifile, "SEQ addition = plus_or_minus term") call ifile_append (ifile, "SEQ term = factor multiplication*") call ifile_append (ifile, "SEQ multiplication = times_or_over factor") call ifile_append (ifile, "SEQ factor = value exponentiation?") call ifile_append (ifile, "SEQ exponentiation = to_the value") call ifile_append (ifile, "ALT plus_or_minus = '+' | '-'") call ifile_append (ifile, "ALT times_or_over = '*' | '/'") call ifile_append (ifile, "ALT to_the = '^' | '**'") call ifile_append (ifile, "KEY '+'") call ifile_append (ifile, "KEY '-'") call ifile_append (ifile, "KEY '*'") call ifile_append (ifile, "KEY '/'") call ifile_append (ifile, "KEY '^'") call ifile_append (ifile, "KEY '**'") call ifile_append (ifile, "ALT value = signed_value | unsigned_value") call ifile_append (ifile, "SEQ signed_value = '-' unsigned_value") call ifile_append (ifile, "ALT unsigned_value = " // & "numeric_value | constant | variable | " // & "result | " // & "grouped_expr | block_expr | conditional_expr | " // & "unary_function | binary_function" // & numeric_pexpr) call ifile_append (ifile, "ALT numeric_value = integer_value | " & // "real_value | complex_value") call ifile_append (ifile, "SEQ integer_value = integer_literal unit_expr?") call ifile_append (ifile, "SEQ real_value = real_literal unit_expr?") call ifile_append (ifile, "SEQ complex_value = complex_literal unit_expr?") call ifile_append (ifile, "INT integer_literal") call ifile_append (ifile, "REA real_literal") call ifile_append (ifile, "COM complex_literal") call ifile_append (ifile, "SEQ unit_expr = unit unit_power?") call ifile_append (ifile, "ALT unit = " // & "TeV | GeV | MeV | keV | eV | meV | " // & "nbarn | pbarn | fbarn | abarn | " // & "rad | mrad | degree | '%'") call ifile_append (ifile, "KEY TeV") call ifile_append (ifile, "KEY GeV") call ifile_append (ifile, "KEY MeV") call ifile_append (ifile, "KEY keV") call ifile_append (ifile, "KEY eV") call ifile_append (ifile, "KEY meV") call ifile_append (ifile, "KEY nbarn") call ifile_append (ifile, "KEY pbarn") call ifile_append (ifile, "KEY fbarn") call ifile_append (ifile, "KEY abarn") call ifile_append (ifile, "KEY rad") call ifile_append (ifile, "KEY mrad") call ifile_append (ifile, "KEY degree") call ifile_append (ifile, "KEY '%'") call ifile_append (ifile, "SEQ unit_power = '^' frac_expr") call ifile_append (ifile, "ALT frac_expr = frac | grouped_frac") call ifile_append (ifile, "GRO grouped_frac = ( frac_expr )") call ifile_append (ifile, "SEQ frac = signed_int div?") call ifile_append (ifile, "ALT signed_int = " & // "neg_int | pos_int | integer_literal") call ifile_append (ifile, "SEQ neg_int = '-' integer_literal") call ifile_append (ifile, "SEQ pos_int = '+' integer_literal") call ifile_append (ifile, "SEQ div = '/' integer_literal") call ifile_append (ifile, "ALT constant = pi | I") call ifile_append (ifile, "KEY pi") call ifile_append (ifile, "KEY I") call ifile_append (ifile, "IDE variable") call ifile_append (ifile, "SEQ result = result_key result_arg") call ifile_append (ifile, "ALT result_key = " // & "num_id | integral | error") call ifile_append (ifile, "KEY num_id") call ifile_append (ifile, "KEY integral") call ifile_append (ifile, "KEY error") call ifile_append (ifile, "GRO result_arg = ( process_id )") call ifile_append (ifile, "IDE process_id") call ifile_append (ifile, "SEQ unary_function = fun_unary function_arg1") call ifile_append (ifile, "SEQ binary_function = fun_binary function_arg2") call ifile_append (ifile, "ALT fun_unary = " // & "complex | real | int | nint | floor | ceiling | abs | conjg | sgn | " // & "sqrt | exp | log | log10 | " // & "sin | cos | tan | asin | acos | atan | " // & "sinh | cosh | tanh | asinh | acosh | atanh") call ifile_append (ifile, "KEY complex") call ifile_append (ifile, "KEY real") call ifile_append (ifile, "KEY int") call ifile_append (ifile, "KEY nint") call ifile_append (ifile, "KEY floor") call ifile_append (ifile, "KEY ceiling") call ifile_append (ifile, "KEY abs") call ifile_append (ifile, "KEY conjg") call ifile_append (ifile, "KEY sgn") call ifile_append (ifile, "KEY sqrt") call ifile_append (ifile, "KEY exp") call ifile_append (ifile, "KEY log") call ifile_append (ifile, "KEY log10") call ifile_append (ifile, "KEY sin") call ifile_append (ifile, "KEY cos") call ifile_append (ifile, "KEY tan") call ifile_append (ifile, "KEY asin") call ifile_append (ifile, "KEY acos") call ifile_append (ifile, "KEY atan") call ifile_append (ifile, "KEY sinh") call ifile_append (ifile, "KEY cosh") call ifile_append (ifile, "KEY tanh") call ifile_append (ifile, "KEY asinh") call ifile_append (ifile, "KEY acosh") call ifile_append (ifile, "KEY atanh") call ifile_append (ifile, "ALT fun_binary = max | min | mod | modulo") call ifile_append (ifile, "KEY max") call ifile_append (ifile, "KEY min") call ifile_append (ifile, "KEY mod") call ifile_append (ifile, "KEY modulo") call ifile_append (ifile, "ARG function_arg1 = ( expr )") call ifile_append (ifile, "ARG function_arg2 = ( expr, expr )") call ifile_append (ifile, "GRO grouped_expr = ( expr )") call ifile_append (ifile, "SEQ block_expr = let var_spec in expr") call ifile_append (ifile, "KEY let") call ifile_append (ifile, "ALT var_spec = " // & "var_num | var_int | var_real | var_complex | " // & "var_logical" // var_plist // var_alias // " | var_string") call ifile_append (ifile, "SEQ var_num = var_name '=' expr") call ifile_append (ifile, "SEQ var_int = int var_name '=' expr") call ifile_append (ifile, "SEQ var_real = real var_name '=' expr") call ifile_append (ifile, "SEQ var_complex = complex var_name '=' complex_expr") call ifile_append (ifile, "ALT complex_expr = " // & "cexpr_real | cexpr_complex") call ifile_append (ifile, "ARG cexpr_complex = ( expr, expr )") call ifile_append (ifile, "SEQ cexpr_real = expr") call ifile_append (ifile, "IDE var_name") call ifile_append (ifile, "KEY '='") call ifile_append (ifile, "KEY in") call ifile_append (ifile, "SEQ conditional_expr = " // & "if lexpr then expr maybe_elsif_expr maybe_else_expr endif") call ifile_append (ifile, "SEQ maybe_elsif_expr = elsif_expr*") call ifile_append (ifile, "SEQ maybe_else_expr = else_expr?") call ifile_append (ifile, "SEQ elsif_expr = elsif lexpr then expr") call ifile_append (ifile, "SEQ else_expr = else expr") call ifile_append (ifile, "KEY if") call ifile_append (ifile, "KEY then") call ifile_append (ifile, "KEY elsif") call ifile_append (ifile, "KEY else") call ifile_append (ifile, "KEY endif") call define_lexpr_syntax (ifile, particles, analysis) call define_sexpr_syntax (ifile) if (particles) then call define_pexpr_syntax (ifile) call define_cexpr_syntax (ifile) call define_var_plist_syntax (ifile) call define_var_alias_syntax (ifile) call define_numeric_pexpr_syntax (ifile) call define_logical_pexpr_syntax (ifile) end if end subroutine define_expr_syntax @ %def define_expr_syntax @ Logical expressions. <<Eval trees: procedures>>= subroutine define_lexpr_syntax (ifile, particles, analysis) type(ifile_t), intent(inout) :: ifile logical, intent(in) :: particles, analysis type(string_t) :: logical_pexpr, record_cmd if (particles) then logical_pexpr = " | logical_pexpr" else logical_pexpr = "" end if if (analysis) then record_cmd = " | record_cmd" else record_cmd = "" end if call ifile_append (ifile, "SEQ lexpr = lsinglet lsequel*") call ifile_append (ifile, "SEQ lsequel = ';' lsinglet") call ifile_append (ifile, "SEQ lsinglet = lterm alternative*") call ifile_append (ifile, "SEQ alternative = or lterm") call ifile_append (ifile, "SEQ lterm = lvalue coincidence*") call ifile_append (ifile, "SEQ coincidence = and lvalue") call ifile_append (ifile, "KEY ';'") call ifile_append (ifile, "KEY or") call ifile_append (ifile, "KEY and") call ifile_append (ifile, "ALT lvalue = " // & "true | false | lvariable | negation | " // & "grouped_lexpr | block_lexpr | conditional_lexpr | " // & "compared_expr | compared_sexpr" // & logical_pexpr // record_cmd) call ifile_append (ifile, "KEY true") call ifile_append (ifile, "KEY false") call ifile_append (ifile, "SEQ lvariable = '?' alt_lvariable") call ifile_append (ifile, "KEY '?'") call ifile_append (ifile, "ALT alt_lvariable = variable | grouped_lexpr") call ifile_append (ifile, "SEQ negation = not lvalue") call ifile_append (ifile, "KEY not") call ifile_append (ifile, "GRO grouped_lexpr = ( lexpr )") call ifile_append (ifile, "SEQ block_lexpr = let var_spec in lexpr") call ifile_append (ifile, "ALT var_logical = " // & "var_logical_new | var_logical_spec") call ifile_append (ifile, "SEQ var_logical_new = logical var_logical_spec") call ifile_append (ifile, "KEY logical") call ifile_append (ifile, "SEQ var_logical_spec = '?' var_name = lexpr") call ifile_append (ifile, "SEQ conditional_lexpr = " // & "if lexpr then lexpr maybe_elsif_lexpr maybe_else_lexpr endif") call ifile_append (ifile, "SEQ maybe_elsif_lexpr = elsif_lexpr*") call ifile_append (ifile, "SEQ maybe_else_lexpr = else_lexpr?") call ifile_append (ifile, "SEQ elsif_lexpr = elsif lexpr then lexpr") call ifile_append (ifile, "SEQ else_lexpr = else lexpr") call ifile_append (ifile, "SEQ compared_expr = expr comparison+") call ifile_append (ifile, "SEQ comparison = compare expr") call ifile_append (ifile, "ALT compare = " // & "'<' | '>' | '<=' | '>=' | '==' | '<>'") call ifile_append (ifile, "KEY '<'") call ifile_append (ifile, "KEY '>'") call ifile_append (ifile, "KEY '<='") call ifile_append (ifile, "KEY '>='") call ifile_append (ifile, "KEY '=='") call ifile_append (ifile, "KEY '<>'") call ifile_append (ifile, "SEQ compared_sexpr = sexpr str_comparison+") call ifile_append (ifile, "SEQ str_comparison = str_compare sexpr") call ifile_append (ifile, "ALT str_compare = '==' | '<>'") if (analysis) then call ifile_append (ifile, "SEQ record_cmd = " // & "record_key analysis_tag record_arg?") call ifile_append (ifile, "ALT record_key = " // & "record | record_unweighted | record_excess") call ifile_append (ifile, "KEY record") call ifile_append (ifile, "KEY record_unweighted") call ifile_append (ifile, "KEY record_excess") call ifile_append (ifile, "ALT analysis_tag = analysis_id | sexpr") call ifile_append (ifile, "IDE analysis_id") call ifile_append (ifile, "ARG record_arg = ( expr+ )") end if end subroutine define_lexpr_syntax @ %def define_lexpr_syntax @ String expressions. <<Eval trees: procedures>>= subroutine define_sexpr_syntax (ifile) type(ifile_t), intent(inout) :: ifile call ifile_append (ifile, "SEQ sexpr = svalue str_concatenation*") call ifile_append (ifile, "SEQ str_concatenation = '&' svalue") call ifile_append (ifile, "KEY '&'") call ifile_append (ifile, "ALT svalue = " // & "grouped_sexpr | block_sexpr | conditional_sexpr | " // & "svariable | string_function | string_literal") call ifile_append (ifile, "GRO grouped_sexpr = ( sexpr )") call ifile_append (ifile, "SEQ block_sexpr = let var_spec in sexpr") call ifile_append (ifile, "SEQ conditional_sexpr = " // & "if lexpr then sexpr maybe_elsif_sexpr maybe_else_sexpr endif") call ifile_append (ifile, "SEQ maybe_elsif_sexpr = elsif_sexpr*") call ifile_append (ifile, "SEQ maybe_else_sexpr = else_sexpr?") call ifile_append (ifile, "SEQ elsif_sexpr = elsif lexpr then sexpr") call ifile_append (ifile, "SEQ else_sexpr = else sexpr") call ifile_append (ifile, "SEQ svariable = '$' alt_svariable") call ifile_append (ifile, "KEY '$'") call ifile_append (ifile, "ALT alt_svariable = variable | grouped_sexpr") call ifile_append (ifile, "ALT var_string = " // & "var_string_new | var_string_spec") call ifile_append (ifile, "SEQ var_string_new = string var_string_spec") call ifile_append (ifile, "KEY string") call ifile_append (ifile, "SEQ var_string_spec = '$' var_name = sexpr") ! $ call ifile_append (ifile, "ALT string_function = sprintf_fun") call ifile_append (ifile, "SEQ sprintf_fun = sprintf_clause sprintf_args?") call ifile_append (ifile, "SEQ sprintf_clause = sprintf sexpr") call ifile_append (ifile, "KEY sprintf") call ifile_append (ifile, "ARG sprintf_args = ( sprintf_arg* )") call ifile_append (ifile, "ALT sprintf_arg = " & // "lvariable | svariable | expr") call ifile_append (ifile, "QUO string_literal = '""'...'""'") end subroutine define_sexpr_syntax @ %def define_sexpr_syntax @ Eval trees that evaluate to subevents. <<Eval trees: procedures>>= subroutine define_pexpr_syntax (ifile) type(ifile_t), intent(inout) :: ifile call ifile_append (ifile, "SEQ pexpr = pterm pconcatenation*") call ifile_append (ifile, "SEQ pconcatenation = '&' pterm") ! call ifile_append (ifile, "KEY '&'") !!! (Key exists already) call ifile_append (ifile, "SEQ pterm = pvalue pcombination*") call ifile_append (ifile, "SEQ pcombination = '+' pvalue") ! call ifile_append (ifile, "KEY '+'") !!! (Key exists already) call ifile_append (ifile, "ALT pvalue = " // & "pexpr_src | pvariable | " // & "grouped_pexpr | block_pexpr | conditional_pexpr | " // & "prt_function") call ifile_append (ifile, "SEQ pexpr_src = prefix_cexpr") call ifile_append (ifile, "ALT prefix_cexpr = " // & "beam_prt | incoming_prt | outgoing_prt | unspecified_prt") call ifile_append (ifile, "SEQ beam_prt = beam cexpr") call ifile_append (ifile, "KEY beam") call ifile_append (ifile, "SEQ incoming_prt = incoming cexpr") call ifile_append (ifile, "KEY incoming") call ifile_append (ifile, "SEQ outgoing_prt = outgoing cexpr") call ifile_append (ifile, "KEY outgoing") call ifile_append (ifile, "SEQ unspecified_prt = cexpr") call ifile_append (ifile, "SEQ pvariable = '@' alt_pvariable") call ifile_append (ifile, "KEY '@'") call ifile_append (ifile, "ALT alt_pvariable = variable | grouped_pexpr") call ifile_append (ifile, "GRO grouped_pexpr = '[' pexpr ']'") call ifile_append (ifile, "SEQ block_pexpr = let var_spec in pexpr") call ifile_append (ifile, "SEQ conditional_pexpr = " // & "if lexpr then pexpr maybe_elsif_pexpr maybe_else_pexpr endif") call ifile_append (ifile, "SEQ maybe_elsif_pexpr = elsif_pexpr*") call ifile_append (ifile, "SEQ maybe_else_pexpr = else_pexpr?") call ifile_append (ifile, "SEQ elsif_pexpr = elsif lexpr then pexpr") call ifile_append (ifile, "SEQ else_pexpr = else pexpr") call ifile_append (ifile, "ALT prt_function = " // & "join_fun | combine_fun | collect_fun | cluster_fun | " // & "photon_reco_fun | " // & "select_fun | extract_fun | sort_fun | " // & "select_b_jet_fun | select_non_b_jet_fun | " // & "select_c_jet_fun | select_light_jet_fun") call ifile_append (ifile, "SEQ join_fun = join_clause pargs2") call ifile_append (ifile, "SEQ combine_fun = combine_clause pargs2") call ifile_append (ifile, "SEQ collect_fun = collect_clause pargs1") call ifile_append (ifile, "SEQ cluster_fun = cluster_clause pargs1") call ifile_append (ifile, "SEQ photon_reco_fun = photon_reco_clause pargs1") call ifile_append (ifile, "SEQ select_fun = select_clause pargs1") call ifile_append (ifile, "SEQ extract_fun = extract_clause pargs1") call ifile_append (ifile, "SEQ sort_fun = sort_clause pargs1") call ifile_append (ifile, "SEQ select_b_jet_fun = " // & "select_b_jet_clause pargs1") call ifile_append (ifile, "SEQ select_non_b_jet_fun = " // & "select_non_b_jet_clause pargs1") call ifile_append (ifile, "SEQ select_c_jet_fun = " // & "select_c_jet_clause pargs1") call ifile_append (ifile, "SEQ select_light_jet_fun = " // & "select_light_jet_clause pargs1") call ifile_append (ifile, "SEQ join_clause = join condition?") call ifile_append (ifile, "SEQ combine_clause = combine condition?") call ifile_append (ifile, "SEQ collect_clause = collect condition?") call ifile_append (ifile, "SEQ cluster_clause = cluster condition?") call ifile_append (ifile, "SEQ photon_reco_clause = photon_recombination condition?") call ifile_append (ifile, "SEQ select_clause = select condition?") call ifile_append (ifile, "SEQ extract_clause = extract position?") call ifile_append (ifile, "SEQ sort_clause = sort criterion?") call ifile_append (ifile, "SEQ select_b_jet_clause = " // & "select_b_jet condition?") call ifile_append (ifile, "SEQ select_non_b_jet_clause = " // & "select_non_b_jet condition?") call ifile_append (ifile, "SEQ select_c_jet_clause = " // & "select_c_jet condition?") call ifile_append (ifile, "SEQ select_light_jet_clause = " // & "select_light_jet condition?") call ifile_append (ifile, "KEY join") call ifile_append (ifile, "KEY combine") call ifile_append (ifile, "KEY collect") call ifile_append (ifile, "KEY cluster") call ifile_append (ifile, "KEY photon_recombination") call ifile_append (ifile, "KEY select") call ifile_append (ifile, "SEQ condition = if lexpr") call ifile_append (ifile, "KEY extract") call ifile_append (ifile, "SEQ position = index expr") call ifile_append (ifile, "KEY sort") call ifile_append (ifile, "KEY select_b_jet") call ifile_append (ifile, "KEY select_non_b_jet") call ifile_append (ifile, "KEY select_c_jet") call ifile_append (ifile, "KEY select_light_jet") call ifile_append (ifile, "SEQ criterion = by expr") call ifile_append (ifile, "KEY index") call ifile_append (ifile, "KEY by") call ifile_append (ifile, "ARG pargs2 = '[' pexpr, pexpr ']'") call ifile_append (ifile, "ARG pargs1 = '[' pexpr, pexpr? ']'") end subroutine define_pexpr_syntax @ %def define_pexpr_syntax @ Eval trees that evaluate to PDG-code arrays. <<Eval trees: procedures>>= subroutine define_cexpr_syntax (ifile) type(ifile_t), intent(inout) :: ifile call ifile_append (ifile, "SEQ cexpr = avalue concatenation*") call ifile_append (ifile, "SEQ concatenation = ':' avalue") call ifile_append (ifile, "KEY ':'") call ifile_append (ifile, "ALT avalue = " // & "grouped_cexpr | block_cexpr | conditional_cexpr | " // & "variable | pdg_code | prt_name") call ifile_append (ifile, "GRO grouped_cexpr = ( cexpr )") call ifile_append (ifile, "SEQ block_cexpr = let var_spec in cexpr") call ifile_append (ifile, "SEQ conditional_cexpr = " // & "if lexpr then cexpr maybe_elsif_cexpr maybe_else_cexpr endif") call ifile_append (ifile, "SEQ maybe_elsif_cexpr = elsif_cexpr*") call ifile_append (ifile, "SEQ maybe_else_cexpr = else_cexpr?") call ifile_append (ifile, "SEQ elsif_cexpr = elsif lexpr then cexpr") call ifile_append (ifile, "SEQ else_cexpr = else cexpr") call ifile_append (ifile, "SEQ pdg_code = pdg pdg_arg") call ifile_append (ifile, "KEY pdg") call ifile_append (ifile, "ARG pdg_arg = ( expr )") call ifile_append (ifile, "QUO prt_name = '""'...'""'") end subroutine define_cexpr_syntax @ %def define_cexpr_syntax @ Extra variable types. <<Eval trees: procedures>>= subroutine define_var_plist_syntax (ifile) type(ifile_t), intent(inout) :: ifile call ifile_append (ifile, "ALT var_plist = var_plist_new | var_plist_spec") call ifile_append (ifile, "SEQ var_plist_new = subevt var_plist_spec") call ifile_append (ifile, "KEY subevt") call ifile_append (ifile, "SEQ var_plist_spec = '@' var_name '=' pexpr") end subroutine define_var_plist_syntax subroutine define_var_alias_syntax (ifile) type(ifile_t), intent(inout) :: ifile call ifile_append (ifile, "SEQ var_alias = alias var_name '=' cexpr") call ifile_append (ifile, "KEY alias") end subroutine define_var_alias_syntax @ %def define_var_plist_syntax define_var_alias_syntax @ Particle-list expressions that evaluate to numeric values <<Eval trees: procedures>>= subroutine define_numeric_pexpr_syntax (ifile) type(ifile_t), intent(inout) :: ifile call ifile_append (ifile, "ALT numeric_pexpr = " & // "eval_fun | count_fun") call ifile_append (ifile, "SEQ eval_fun = eval expr pargs1") call ifile_append (ifile, "SEQ count_fun = count_clause pargs1") call ifile_append (ifile, "SEQ count_clause = count condition?") call ifile_append (ifile, "KEY eval") call ifile_append (ifile, "KEY count") end subroutine define_numeric_pexpr_syntax @ %def define_numeric_pexpr_syntax @ Particle-list functions that evaluate to logical values. <<Eval trees: procedures>>= subroutine define_logical_pexpr_syntax (ifile) type(ifile_t), intent(inout) :: ifile call ifile_append (ifile, "ALT logical_pexpr = " // & "all_fun | any_fun | no_fun | " // & "photon_isolation_fun") call ifile_append (ifile, "SEQ all_fun = all lexpr pargs1") call ifile_append (ifile, "SEQ any_fun = any lexpr pargs1") call ifile_append (ifile, "SEQ no_fun = no lexpr pargs1") call ifile_append (ifile, "SEQ photon_isolation_fun = " // & "photon_isolation_clause pargs2") call ifile_append (ifile, "SEQ photon_isolation_clause = " // & "photon_isolation condition?") call ifile_append (ifile, "KEY all") call ifile_append (ifile, "KEY any") call ifile_append (ifile, "KEY no") call ifile_append (ifile, "KEY photon_isolation") end subroutine define_logical_pexpr_syntax @ %def define_logical_pexpr_syntax @ All characters that can occur in expressions (apart from alphanumeric). <<Eval trees: procedures>>= subroutine lexer_init_eval_tree (lexer, particles) type(lexer_t), intent(out) :: lexer logical, intent(in) :: particles type(keyword_list_t), pointer :: keyword_list if (particles) then keyword_list => syntax_get_keyword_list_ptr (syntax_pexpr) else keyword_list => syntax_get_keyword_list_ptr (syntax_expr) end if call lexer_init (lexer, & comment_chars = "#!", & quote_chars = '"', & quote_match = '"', & single_chars = "()[],;:&%?$@", & special_class = [ "+-*/^", "<>=~ " ] , & keyword_list = keyword_list) end subroutine lexer_init_eval_tree @ %def lexer_init_eval_tree @ \subsection{Set up appropriate parse trees} Parse an input stream as a specific flavor of expression. The appropriate expression syntax has to be available. <<Eval trees: public>>= public :: parse_tree_init_expr public :: parse_tree_init_lexpr public :: parse_tree_init_pexpr public :: parse_tree_init_cexpr public :: parse_tree_init_sexpr <<Eval trees: procedures>>= subroutine parse_tree_init_expr (parse_tree, stream, particles) type(parse_tree_t), intent(out) :: parse_tree type(stream_t), intent(inout), target :: stream logical, intent(in) :: particles type(lexer_t) :: lexer call lexer_init_eval_tree (lexer, particles) call lexer_assign_stream (lexer, stream) if (particles) then call parse_tree_init & (parse_tree, syntax_pexpr, lexer, var_str ("expr")) else call parse_tree_init & (parse_tree, syntax_expr, lexer, var_str ("expr")) end if call lexer_final (lexer) end subroutine parse_tree_init_expr subroutine parse_tree_init_lexpr (parse_tree, stream, particles) type(parse_tree_t), intent(out) :: parse_tree type(stream_t), intent(inout), target :: stream logical, intent(in) :: particles type(lexer_t) :: lexer call lexer_init_eval_tree (lexer, particles) call lexer_assign_stream (lexer, stream) if (particles) then call parse_tree_init & (parse_tree, syntax_pexpr, lexer, var_str ("lexpr")) else call parse_tree_init & (parse_tree, syntax_expr, lexer, var_str ("lexpr")) end if call lexer_final (lexer) end subroutine parse_tree_init_lexpr subroutine parse_tree_init_pexpr (parse_tree, stream) type(parse_tree_t), intent(out) :: parse_tree type(stream_t), intent(inout), target :: stream type(lexer_t) :: lexer call lexer_init_eval_tree (lexer, .true.) call lexer_assign_stream (lexer, stream) call parse_tree_init & (parse_tree, syntax_pexpr, lexer, var_str ("pexpr")) call lexer_final (lexer) end subroutine parse_tree_init_pexpr subroutine parse_tree_init_cexpr (parse_tree, stream) type(parse_tree_t), intent(out) :: parse_tree type(stream_t), intent(inout), target :: stream type(lexer_t) :: lexer call lexer_init_eval_tree (lexer, .true.) call lexer_assign_stream (lexer, stream) call parse_tree_init & (parse_tree, syntax_pexpr, lexer, var_str ("cexpr")) call lexer_final (lexer) end subroutine parse_tree_init_cexpr subroutine parse_tree_init_sexpr (parse_tree, stream, particles) type(parse_tree_t), intent(out) :: parse_tree type(stream_t), intent(inout), target :: stream logical, intent(in) :: particles type(lexer_t) :: lexer call lexer_init_eval_tree (lexer, particles) call lexer_assign_stream (lexer, stream) if (particles) then call parse_tree_init & (parse_tree, syntax_pexpr, lexer, var_str ("sexpr")) else call parse_tree_init & (parse_tree, syntax_expr, lexer, var_str ("sexpr")) end if call lexer_final (lexer) end subroutine parse_tree_init_sexpr @ %def parse_tree_init_expr @ %def parse_tree_init_lexpr @ %def parse_tree_init_pexpr @ %def parse_tree_init_cexpr @ %def parse_tree_init_sexpr @ \subsection{The evaluation tree} The evaluation tree contains the initial variable list and the root node. <<Eval trees: public>>= public :: eval_tree_t <<Eval trees: types>>= type, extends (expr_t) :: eval_tree_t private type(parse_node_t), pointer :: pn => null () type(var_list_t) :: var_list type(eval_node_t), pointer :: root => null () contains <<Eval trees: eval tree: TBP>> end type eval_tree_t @ %def eval_tree_t @ Init from stream, using a temporary parse tree. <<Eval trees: eval tree: TBP>>= procedure :: init_stream => eval_tree_init_stream <<Eval trees: procedures>>= subroutine eval_tree_init_stream & (eval_tree, stream, var_list, subevt, result_type) class(eval_tree_t), intent(out), target :: eval_tree type(stream_t), intent(inout), target :: stream type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), target, optional :: subevt integer, intent(in), optional :: result_type type(parse_tree_t) :: parse_tree type(parse_node_t), pointer :: nd_root integer :: type type = V_REAL; if (present (result_type)) type = result_type select case (type) case (V_INT, V_REAL, V_CMPLX) call parse_tree_init_expr (parse_tree, stream, present (subevt)) case (V_LOG) call parse_tree_init_lexpr (parse_tree, stream, present (subevt)) case (V_SEV) call parse_tree_init_pexpr (parse_tree, stream) case (V_PDG) call parse_tree_init_cexpr (parse_tree, stream) case (V_STR) call parse_tree_init_sexpr (parse_tree, stream, present (subevt)) end select nd_root => parse_tree%get_root_ptr () if (associated (nd_root)) then select case (type) case (V_INT, V_REAL, V_CMPLX) call eval_tree_init_expr (eval_tree, nd_root, var_list, subevt) case (V_LOG) call eval_tree_init_lexpr (eval_tree, nd_root, var_list, subevt) case (V_SEV) call eval_tree_init_pexpr (eval_tree, nd_root, var_list, subevt) case (V_PDG) call eval_tree_init_cexpr (eval_tree, nd_root, var_list, subevt) case (V_STR) call eval_tree_init_sexpr (eval_tree, nd_root, var_list, subevt) end select end if call parse_tree_final (parse_tree) end subroutine eval_tree_init_stream @ %def eval_tree_init_stream @ API (to be superseded by the methods below): Init from a given parse-tree node. If we evaluate an expression that contains particle-list references, the original subevent has to be supplied. The initial variable list is optional. <<Eval trees: eval tree: TBP>>= procedure :: init_expr => eval_tree_init_expr procedure :: init_lexpr => eval_tree_init_lexpr procedure :: init_pexpr => eval_tree_init_pexpr procedure :: init_cexpr => eval_tree_init_cexpr procedure :: init_sexpr => eval_tree_init_sexpr <<Eval trees: procedures>>= subroutine eval_tree_init_expr & (expr, parse_node, var_list, subevt) class(eval_tree_t), intent(out), target :: expr type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt call eval_tree_link_var_list (expr, var_list) if (present (subevt)) call eval_tree_set_subevt (expr, subevt) call eval_node_compile_expr & (expr%root, parse_node, expr%var_list) end subroutine eval_tree_init_expr subroutine eval_tree_init_lexpr & (expr, parse_node, var_list, subevt) class(eval_tree_t), intent(out), target :: expr type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt call eval_tree_link_var_list (expr, var_list) if (present (subevt)) call eval_tree_set_subevt (expr, subevt) call eval_node_compile_lexpr & (expr%root, parse_node, expr%var_list) end subroutine eval_tree_init_lexpr subroutine eval_tree_init_pexpr & (expr, parse_node, var_list, subevt) class(eval_tree_t), intent(out), target :: expr type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt call eval_tree_link_var_list (expr, var_list) if (present (subevt)) call eval_tree_set_subevt (expr, subevt) call eval_node_compile_pexpr & (expr%root, parse_node, expr%var_list) end subroutine eval_tree_init_pexpr subroutine eval_tree_init_cexpr & (expr, parse_node, var_list, subevt) class(eval_tree_t), intent(out), target :: expr type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt call eval_tree_link_var_list (expr, var_list) if (present (subevt)) call eval_tree_set_subevt (expr, subevt) call eval_node_compile_cexpr & (expr%root, parse_node, expr%var_list) end subroutine eval_tree_init_cexpr subroutine eval_tree_init_sexpr & (expr, parse_node, var_list, subevt) class(eval_tree_t), intent(out), target :: expr type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt call eval_tree_link_var_list (expr, var_list) if (present (subevt)) call eval_tree_set_subevt (expr, subevt) call eval_node_compile_sexpr & (expr%root, parse_node, expr%var_list) end subroutine eval_tree_init_sexpr @ %def eval_tree_init_expr @ %def eval_tree_init_lexpr @ %def eval_tree_init_pexpr @ %def eval_tree_init_cexpr @ %def eval_tree_init_sexpr @ Alternative: set up the expression using the parse node that has already been stored. We assume that the [[subevt]] or any other variable that may be referred to has already been added to the local variable list. <<Eval trees: eval tree: TBP>>= procedure :: setup_expr => eval_tree_setup_expr procedure :: setup_lexpr => eval_tree_setup_lexpr procedure :: setup_pexpr => eval_tree_setup_pexpr procedure :: setup_cexpr => eval_tree_setup_cexpr procedure :: setup_sexpr => eval_tree_setup_sexpr <<Eval trees: procedures>>= subroutine eval_tree_setup_expr (expr, vars) class(eval_tree_t), intent(inout), target :: expr class(vars_t), intent(in), target :: vars call eval_tree_link_var_list (expr, vars) call eval_node_compile_expr (expr%root, expr%pn, expr%var_list) end subroutine eval_tree_setup_expr subroutine eval_tree_setup_lexpr (expr, vars) class(eval_tree_t), intent(inout), target :: expr class(vars_t), intent(in), target :: vars call eval_tree_link_var_list (expr, vars) call eval_node_compile_lexpr (expr%root, expr%pn, expr%var_list) end subroutine eval_tree_setup_lexpr subroutine eval_tree_setup_pexpr (expr, vars) class(eval_tree_t), intent(inout), target :: expr class(vars_t), intent(in), target :: vars call eval_tree_link_var_list (expr, vars) call eval_node_compile_pexpr (expr%root, expr%pn, expr%var_list) end subroutine eval_tree_setup_pexpr subroutine eval_tree_setup_cexpr (expr, vars) class(eval_tree_t), intent(inout), target :: expr class(vars_t), intent(in), target :: vars call eval_tree_link_var_list (expr, vars) call eval_node_compile_cexpr (expr%root, expr%pn, expr%var_list) end subroutine eval_tree_setup_cexpr subroutine eval_tree_setup_sexpr (expr, vars) class(eval_tree_t), intent(inout), target :: expr class(vars_t), intent(in), target :: vars call eval_tree_link_var_list (expr, vars) call eval_node_compile_sexpr (expr%root, expr%pn, expr%var_list) end subroutine eval_tree_setup_sexpr @ %def eval_tree_setup_expr @ %def eval_tree_setup_lexpr @ %def eval_tree_setup_pexpr @ %def eval_tree_setup_cexpr @ %def eval_tree_setup_sexpr @ This extra API function handles numerical constant expressions only. The only nontrivial part is the optional unit. <<Eval trees: eval tree: TBP>>= procedure :: init_numeric_value => eval_tree_init_numeric_value <<Eval trees: procedures>>= subroutine eval_tree_init_numeric_value (eval_tree, parse_node) class(eval_tree_t), intent(out), target :: eval_tree type(parse_node_t), intent(in), target :: parse_node call eval_node_compile_numeric_value (eval_tree%root, parse_node) end subroutine eval_tree_init_numeric_value @ %def eval_tree_init_numeric_value @ Initialize the variable list, linking it to a context variable list. <<Eval trees: procedures>>= subroutine eval_tree_link_var_list (eval_tree, vars) type(eval_tree_t), intent(inout), target :: eval_tree class(vars_t), intent(in), target :: vars call eval_tree%var_list%link (vars) end subroutine eval_tree_link_var_list @ %def eval_tree_link_var_list @ Include a subevent object in the initialization. We add a pointer to this as variable [[@evt]] in the local variable list. <<Eval trees: procedures>>= subroutine eval_tree_set_subevt (eval_tree, subevt) type(eval_tree_t), intent(inout), target :: eval_tree type(subevt_t), intent(in), target :: subevt logical, save, target :: known = .true. call var_list_append_subevt_ptr & (eval_tree%var_list, var_str ("@evt"), subevt, known, & intrinsic=.true.) end subroutine eval_tree_set_subevt @ %def eval_tree_set_subevt @ Finalizer. <<Eval trees: eval tree: TBP>>= procedure :: final => eval_tree_final <<Eval trees: procedures>>= subroutine eval_tree_final (expr) class(eval_tree_t), intent(inout) :: expr call expr%var_list%final () if (associated (expr%root)) then call eval_node_final_rec (expr%root) deallocate (expr%root) end if end subroutine eval_tree_final @ %def eval_tree_final @ <<Eval trees: eval tree: TBP>>= procedure :: evaluate => eval_tree_evaluate <<Eval trees: procedures>>= subroutine eval_tree_evaluate (expr) class(eval_tree_t), intent(inout) :: expr if (associated (expr%root)) then call eval_node_evaluate (expr%root) end if end subroutine eval_tree_evaluate @ %def eval_tree_evaluate @ Check if the eval tree is allocated. <<Eval trees: procedures>>= function eval_tree_is_defined (eval_tree) result (flag) logical :: flag type(eval_tree_t), intent(in) :: eval_tree flag = associated (eval_tree%root) end function eval_tree_is_defined @ %def eval_tree_is_defined @ Check if the eval tree result is constant. <<Eval trees: procedures>>= function eval_tree_is_constant (eval_tree) result (flag) logical :: flag type(eval_tree_t), intent(in) :: eval_tree if (associated (eval_tree%root)) then flag = eval_tree%root%type == EN_CONSTANT else flag = .false. end if end function eval_tree_is_constant @ %def eval_tree_is_constant @ Insert a conversion node at the root, if necessary (only for real/int conversion) <<Eval trees: procedures>>= subroutine eval_tree_convert_result (eval_tree, result_type) type(eval_tree_t), intent(inout) :: eval_tree integer, intent(in) :: result_type if (associated (eval_tree%root)) then call insert_conversion_node (eval_tree%root, result_type) end if end subroutine eval_tree_convert_result @ %def eval_tree_convert_result @ Return the value of the top node, after evaluation. If the tree is empty, return the type of [[V_NONE]]. When extracting the value, no check for existence is done. For numeric values, the functions are safe against real/integer mismatch. <<Eval trees: eval tree: TBP>>= procedure :: is_known => eval_tree_result_is_known procedure :: get_log => eval_tree_get_log procedure :: get_int => eval_tree_get_int procedure :: get_real => eval_tree_get_real procedure :: get_cmplx => eval_tree_get_cmplx procedure :: get_pdg_array => eval_tree_get_pdg_array procedure :: get_subevt => eval_tree_get_subevt procedure :: get_string => eval_tree_get_string <<Eval trees: procedures>>= function eval_tree_get_result_type (expr) result (type) integer :: type class(eval_tree_t), intent(in) :: expr if (associated (expr%root)) then type = expr%root%result_type else type = V_NONE end if end function eval_tree_get_result_type function eval_tree_result_is_known (expr) result (flag) logical :: flag class(eval_tree_t), intent(in) :: expr if (associated (expr%root)) then select case (expr%root%result_type) case (V_LOG, V_INT, V_REAL) flag = expr%root%value_is_known case default flag = .true. end select else flag = .false. end if end function eval_tree_result_is_known function eval_tree_result_is_known_ptr (expr) result (ptr) logical, pointer :: ptr class(eval_tree_t), intent(in) :: expr logical, target, save :: known = .true. if (associated (expr%root)) then select case (expr%root%result_type) case (V_LOG, V_INT, V_REAL) ptr => expr%root%value_is_known case default ptr => known end select else ptr => null () end if end function eval_tree_result_is_known_ptr function eval_tree_get_log (expr) result (lval) logical :: lval class(eval_tree_t), intent(in) :: expr if (associated (expr%root)) lval = expr%root%lval end function eval_tree_get_log function eval_tree_get_int (expr) result (ival) integer :: ival class(eval_tree_t), intent(in) :: expr if (associated (expr%root)) then select case (expr%root%result_type) case (V_INT); ival = expr%root%ival case (V_REAL); ival = expr%root%rval case (V_CMPLX); ival = expr%root%cval end select end if end function eval_tree_get_int function eval_tree_get_real (expr) result (rval) real(default) :: rval class(eval_tree_t), intent(in) :: expr if (associated (expr%root)) then select case (expr%root%result_type) case (V_REAL); rval = expr%root%rval case (V_INT); rval = expr%root%ival case (V_CMPLX); rval = expr%root%cval end select end if end function eval_tree_get_real function eval_tree_get_cmplx (expr) result (cval) complex(default) :: cval class(eval_tree_t), intent(in) :: expr if (associated (expr%root)) then select case (expr%root%result_type) case (V_CMPLX); cval = expr%root%cval case (V_REAL); cval = expr%root%rval case (V_INT); cval = expr%root%ival end select end if end function eval_tree_get_cmplx function eval_tree_get_pdg_array (expr) result (aval) type(pdg_array_t) :: aval class(eval_tree_t), intent(in) :: expr if (associated (expr%root)) then aval = expr%root%aval end if end function eval_tree_get_pdg_array function eval_tree_get_subevt (expr) result (pval) type(subevt_t) :: pval class(eval_tree_t), intent(in) :: expr if (associated (expr%root)) then pval = expr%root%pval end if end function eval_tree_get_subevt function eval_tree_get_string (expr) result (sval) type(string_t) :: sval class(eval_tree_t), intent(in) :: expr if (associated (expr%root)) then sval = expr%root%sval end if end function eval_tree_get_string @ %def eval_tree_get_result_type @ %def eval_tree_result_is_known @ %def eval_tree_get_log eval_tree_get_int eval_tree_get_real @ %def eval_tree_get_cmplx @ %def eval_tree_get_pdg_expr @ %def eval_tree_get_pdg_array @ %def eval_tree_get_subevt @ %def eval_tree_get_string @ Return a pointer to the value of the top node. <<Eval trees: procedures>>= function eval_tree_get_log_ptr (eval_tree) result (lval) logical, pointer :: lval type(eval_tree_t), intent(in) :: eval_tree if (associated (eval_tree%root)) then lval => eval_tree%root%lval else lval => null () end if end function eval_tree_get_log_ptr function eval_tree_get_int_ptr (eval_tree) result (ival) integer, pointer :: ival type(eval_tree_t), intent(in) :: eval_tree if (associated (eval_tree%root)) then ival => eval_tree%root%ival else ival => null () end if end function eval_tree_get_int_ptr function eval_tree_get_real_ptr (eval_tree) result (rval) real(default), pointer :: rval type(eval_tree_t), intent(in) :: eval_tree if (associated (eval_tree%root)) then rval => eval_tree%root%rval else rval => null () end if end function eval_tree_get_real_ptr function eval_tree_get_cmplx_ptr (eval_tree) result (cval) complex(default), pointer :: cval type(eval_tree_t), intent(in) :: eval_tree if (associated (eval_tree%root)) then cval => eval_tree%root%cval else cval => null () end if end function eval_tree_get_cmplx_ptr function eval_tree_get_subevt_ptr (eval_tree) result (pval) type(subevt_t), pointer :: pval type(eval_tree_t), intent(in) :: eval_tree if (associated (eval_tree%root)) then pval => eval_tree%root%pval else pval => null () end if end function eval_tree_get_subevt_ptr function eval_tree_get_pdg_array_ptr (eval_tree) result (aval) type(pdg_array_t), pointer :: aval type(eval_tree_t), intent(in) :: eval_tree if (associated (eval_tree%root)) then aval => eval_tree%root%aval else aval => null () end if end function eval_tree_get_pdg_array_ptr function eval_tree_get_string_ptr (eval_tree) result (sval) type(string_t), pointer :: sval type(eval_tree_t), intent(in) :: eval_tree if (associated (eval_tree%root)) then sval => eval_tree%root%sval else sval => null () end if end function eval_tree_get_string_ptr @ %def eval_tree_get_log_ptr eval_tree_get_int_ptr eval_tree_get_real_ptr @ %def eval_tree_get_cmplx_ptr @ %def eval_tree_get_subevt_ptr eval_tree_get_pdg_array_ptr @ %def eval_tree_get_string_ptr <<Eval trees: eval tree: TBP>>= procedure :: write => eval_tree_write <<Eval trees: procedures>>= subroutine eval_tree_write (expr, unit, write_vars) class(eval_tree_t), intent(in) :: expr integer, intent(in), optional :: unit logical, intent(in), optional :: write_vars integer :: u logical :: vl u = given_output_unit (unit); if (u < 0) return vl = .false.; if (present (write_vars)) vl = write_vars write (u, "(1x,A)") "Evaluation tree:" if (associated (expr%root)) then call eval_node_write_rec (expr%root, unit) else write (u, "(3x,A)") "[empty]" end if if (vl) call var_list_write (expr%var_list, unit) end subroutine eval_tree_write @ %def eval_tree_write @ Use the written representation for generating an MD5 sum: <<Eval trees: procedures>>= function eval_tree_get_md5sum (eval_tree) result (md5sum_et) character(32) :: md5sum_et type(eval_tree_t), intent(in) :: eval_tree integer :: u u = free_unit () open (unit = u, status = "scratch", action = "readwrite") call eval_tree_write (eval_tree, unit=u) rewind (u) md5sum_et = md5sum (u) close (u) end function eval_tree_get_md5sum @ %def eval_tree_get_md5sum @ \subsection{Direct evaluation} These procedures create an eval tree and evaluate it on-the-fly, returning only the final value. The evaluation must yield a well-defined value, unless the [[is_known]] flag is present, which will be set accordingly. <<Eval trees: public>>= public :: eval_log public :: eval_int public :: eval_real public :: eval_cmplx public :: eval_subevt public :: eval_pdg_array public :: eval_string <<Eval trees: procedures>>= function eval_log & (parse_node, var_list, subevt, is_known) result (lval) logical :: lval type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt logical, intent(out), optional :: is_known type(eval_tree_t), target :: eval_tree call eval_tree_init_lexpr & (eval_tree, parse_node, var_list, subevt) call eval_tree_evaluate (eval_tree) if (eval_tree_result_is_known (eval_tree)) then if (present (is_known)) is_known = .true. lval = eval_tree_get_log (eval_tree) else if (present (is_known)) then is_known = .false. else call eval_tree_unknown (eval_tree, parse_node) lval = .false. end if call eval_tree_final (eval_tree) end function eval_log function eval_int & (parse_node, var_list, subevt, is_known) result (ival) integer :: ival type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt logical, intent(out), optional :: is_known type(eval_tree_t), target :: eval_tree call eval_tree_init_expr & (eval_tree, parse_node, var_list, subevt) call eval_tree_evaluate (eval_tree) if (eval_tree_result_is_known (eval_tree)) then if (present (is_known)) is_known = .true. ival = eval_tree_get_int (eval_tree) else if (present (is_known)) then is_known = .false. else call eval_tree_unknown (eval_tree, parse_node) ival = 0 end if call eval_tree_final (eval_tree) end function eval_int function eval_real & (parse_node, var_list, subevt, is_known) result (rval) real(default) :: rval type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt logical, intent(out), optional :: is_known type(eval_tree_t), target :: eval_tree call eval_tree_init_expr & (eval_tree, parse_node, var_list, subevt) call eval_tree_evaluate (eval_tree) if (eval_tree_result_is_known (eval_tree)) then if (present (is_known)) is_known = .true. rval = eval_tree_get_real (eval_tree) else if (present (is_known)) then is_known = .false. else call eval_tree_unknown (eval_tree, parse_node) rval = 0 end if call eval_tree_final (eval_tree) end function eval_real function eval_cmplx & (parse_node, var_list, subevt, is_known) result (cval) complex(default) :: cval type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt logical, intent(out), optional :: is_known type(eval_tree_t), target :: eval_tree call eval_tree_init_expr & (eval_tree, parse_node, var_list, subevt) call eval_tree_evaluate (eval_tree) if (eval_tree_result_is_known (eval_tree)) then if (present (is_known)) is_known = .true. cval = eval_tree_get_cmplx (eval_tree) else if (present (is_known)) then is_known = .false. else call eval_tree_unknown (eval_tree, parse_node) cval = 0 end if call eval_tree_final (eval_tree) end function eval_cmplx function eval_subevt & (parse_node, var_list, subevt, is_known) result (pval) type(subevt_t) :: pval type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt logical, intent(out), optional :: is_known type(eval_tree_t), target :: eval_tree call eval_tree_init_pexpr & (eval_tree, parse_node, var_list, subevt) call eval_tree_evaluate (eval_tree) if (eval_tree_result_is_known (eval_tree)) then if (present (is_known)) is_known = .true. pval = eval_tree_get_subevt (eval_tree) else if (present (is_known)) then is_known = .false. else call eval_tree_unknown (eval_tree, parse_node) end if call eval_tree_final (eval_tree) end function eval_subevt function eval_pdg_array & (parse_node, var_list, subevt, is_known) result (aval) type(pdg_array_t) :: aval type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt logical, intent(out), optional :: is_known type(eval_tree_t), target :: eval_tree call eval_tree_init_cexpr & (eval_tree, parse_node, var_list, subevt) call eval_tree_evaluate (eval_tree) if (eval_tree_result_is_known (eval_tree)) then if (present (is_known)) is_known = .true. aval = eval_tree_get_pdg_array (eval_tree) else if (present (is_known)) then is_known = .false. else call eval_tree_unknown (eval_tree, parse_node) end if call eval_tree_final (eval_tree) end function eval_pdg_array function eval_string & (parse_node, var_list, subevt, is_known) result (sval) type(string_t) :: sval type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt logical, intent(out), optional :: is_known type(eval_tree_t), target :: eval_tree call eval_tree_init_sexpr & (eval_tree, parse_node, var_list, subevt) call eval_tree_evaluate (eval_tree) if (eval_tree_result_is_known (eval_tree)) then if (present (is_known)) is_known = .true. sval = eval_tree_get_string (eval_tree) else if (present (is_known)) then is_known = .false. else call eval_tree_unknown (eval_tree, parse_node) sval = "" end if call eval_tree_final (eval_tree) end function eval_string @ %def eval_log eval_int eval_real eval_cmplx @ %def eval_subevt eval_pdg_array eval_string @ %def eval_tree_unknown @ Here is a variant that returns numeric values of all possible kinds, the appropriate kind to be selected later: <<Eval trees: public>>= public :: eval_numeric <<Eval trees: procedures>>= subroutine eval_numeric & (parse_node, var_list, subevt, ival, rval, cval, & is_known, result_type) type(parse_node_t), intent(in), target :: parse_node type(var_list_t), intent(in), target :: var_list type(subevt_t), intent(in), optional, target :: subevt integer, intent(out), optional :: ival real(default), intent(out), optional :: rval complex(default), intent(out), optional :: cval logical, intent(out), optional :: is_known integer, intent(out), optional :: result_type type(eval_tree_t), target :: eval_tree call eval_tree_init_expr & (eval_tree, parse_node, var_list, subevt) call eval_tree_evaluate (eval_tree) if (eval_tree_result_is_known (eval_tree)) then if (present (ival)) ival = eval_tree_get_int (eval_tree) if (present (rval)) rval = eval_tree_get_real (eval_tree) if (present (cval)) cval = eval_tree_get_cmplx (eval_tree) if (present (is_known)) is_known = .true. else call eval_tree_unknown (eval_tree, parse_node) if (present (ival)) ival = 0 if (present (rval)) rval = 0 if (present (cval)) cval = 0 if (present (is_known)) is_known = .false. end if if (present (result_type)) & result_type = eval_tree_get_result_type (eval_tree) call eval_tree_final (eval_tree) end subroutine eval_numeric @ %def eval_numeric @ Error message with debugging info: <<Eval trees: procedures>>= subroutine eval_tree_unknown (eval_tree, parse_node) type(eval_tree_t), intent(in) :: eval_tree type(parse_node_t), intent(in) :: parse_node call parse_node_write_rec (parse_node) call eval_tree_write (eval_tree) call msg_error ("Evaluation yields an undefined result, inserting default") end subroutine eval_tree_unknown @ %def eval_tree_unknown @ \subsection{Factory Type} Since [[eval_tree_t]] is an implementation of [[expr_t]], we also need a matching factory type and build method. <<Eval trees: public>>= public :: eval_tree_factory_t <<Eval trees: types>>= type, extends (expr_factory_t) :: eval_tree_factory_t private type(parse_node_t), pointer :: pn => null () contains <<Eval trees: eval tree factory: TBP>> end type eval_tree_factory_t @ %def eval_tree_factory_t @ Output: delegate to the output of the embedded parse node. <<Eval trees: eval tree factory: TBP>>= procedure :: write => eval_tree_factory_write <<Eval trees: procedures>>= subroutine eval_tree_factory_write (expr_factory, unit) class(eval_tree_factory_t), intent(in) :: expr_factory integer, intent(in), optional :: unit if (associated (expr_factory%pn)) then call parse_node_write_rec (expr_factory%pn, unit) end if end subroutine eval_tree_factory_write @ %def eval_tree_factory_write @ Initializer: take a parse node and hide it thus from the environment. <<Eval trees: eval tree factory: TBP>>= procedure :: init => eval_tree_factory_init <<Eval trees: procedures>>= subroutine eval_tree_factory_init (expr_factory, pn) class(eval_tree_factory_t), intent(out) :: expr_factory type(parse_node_t), intent(in), pointer :: pn expr_factory%pn => pn end subroutine eval_tree_factory_init @ %def eval_tree_factory_init @ Factory method: allocate expression with correct eval tree type. If the stored parse node is not associate, don't allocate. <<Eval trees: eval tree factory: TBP>>= procedure :: build => eval_tree_factory_build <<Eval trees: procedures>>= subroutine eval_tree_factory_build (expr_factory, expr) class(eval_tree_factory_t), intent(in) :: expr_factory class(expr_t), intent(out), allocatable :: expr if (associated (expr_factory%pn)) then allocate (eval_tree_t :: expr) select type (expr) type is (eval_tree_t) expr%pn => expr_factory%pn end select end if end subroutine eval_tree_factory_build @ %def eval_tree_factory_build @ \subsection{Unit tests} Test module, followed by the corresponding implementation module. <<[[eval_trees_ut.f90]]>>= <<File header>> module eval_trees_ut use unit_tests use eval_trees_uti <<Standard module head>> <<Eval trees: public test>> contains <<Eval trees: test driver>> end module eval_trees_ut @ %def eval_trees_ut @ <<[[eval_trees_uti.f90]]>>= <<File header>> module eval_trees_uti <<Use kinds>> <<Use strings>> use ifiles use lexers use lorentz use syntax_rules, only: syntax_write use pdg_arrays use subevents use variables use observables use eval_trees <<Standard module head>> <<Eval trees: test declarations>> contains <<Eval trees: tests>> end module eval_trees_uti @ %def eval_trees_ut @ API: driver for the unit tests below. <<Eval trees: public test>>= public :: expressions_test <<Eval trees: test driver>>= subroutine expressions_test (u, results) integer, intent(in) :: u type (test_results_t), intent(inout) :: results <<Eval trees: execute tests>> end subroutine expressions_test @ %def expressions_test @ Testing the routines of the expressions module. First a simple unary observable and the node evaluation. <<Eval trees: execute tests>>= call test (expressions_1, "expressions_1", & "check simple observable", & u, results) <<Eval trees: test declarations>>= public :: expressions_1 <<Eval trees: tests>>= subroutine expressions_1 (u) integer, intent(in) :: u type(var_list_t), pointer :: var_list => null () type(eval_node_t), pointer :: node => null () type(prt_t), pointer :: prt => null () type(string_t) :: var_name write (u, "(A)") "* Test output: Expressions" write (u, "(A)") "* Purpose: test simple observable and node evaluation" write (u, "(A)") write (u, "(A)") "* Setting a unary observable:" write (u, "(A)") allocate (var_list) allocate (prt) call var_list_set_observables_unary (var_list, prt) call var_list%write (u) write (u, "(A)") "* Evaluating the observable node:" write (u, "(A)") var_name = "PDG" allocate (node) call node%test_obs (var_list, var_name) call node%write (u) write (u, "(A)") "* Cleanup" write (u, "(A)") call node%final_rec () deallocate (node) !!! Workaround for NAGFOR 6.2 ! call var_list%final () deallocate (var_list) deallocate (prt) write (u, "(A)") write (u, "(A)") "* Test output end: expressions_1" end subroutine expressions_1 @ %def expressions_1 @ Parse a complicated expression, transfer it to a parse tree and evaluate. <<Eval trees: execute tests>>= call test (expressions_2, "expressions_2", & "check expression transfer to parse tree", & u, results) <<Eval trees: test declarations>>= public :: expressions_2 <<Eval trees: tests>>= subroutine expressions_2 (u) integer, intent(in) :: u type(ifile_t) :: ifile type(stream_t) :: stream type(eval_tree_t) :: eval_tree type(string_t) :: expr_text type(var_list_t), pointer :: var_list => null () write (u, "(A)") "* Test output: Expressions" write (u, "(A)") "* Purpose: test parse routines" write (u, "(A)") call syntax_expr_init () call syntax_write (syntax_expr, u) allocate (var_list) call var_list_append_real (var_list, var_str ("tolerance"), 0._default) call var_list_append_real (var_list, var_str ("x"), -5._default) call var_list_append_int (var_list, var_str ("foo"), -27) call var_list_append_real (var_list, var_str ("mb"), 4._default) expr_text = & "let real twopi = 2 * pi in" // & " twopi * sqrt (25.d0 - mb^2)" // & " / (let int mb_or_0 = max (mb, 0) in" // & " 1 + (if -1 TeV <= x < mb_or_0 then abs(x) else x endif))" call ifile_append (ifile, expr_text) call stream_init (stream, ifile) call var_list%write (u) call eval_tree%init_stream (stream, var_list=var_list) call eval_tree%evaluate () call eval_tree%write (u) write (u, "(A)") "* Input string:" write (u, "(A,A)") " ", char (expr_text) write (u, "(A)") write (u, "(A)") "* Cleanup" call stream_final (stream) call ifile_final (ifile) call eval_tree%final () call var_list%final () deallocate (var_list) call syntax_expr_final () write (u, "(A)") write (u, "(A)") "* Test output end: expressions_2" end subroutine expressions_2 @ %def expressions_2 @ Test a subevent expression. <<Eval trees: execute tests>>= call test (expressions_3, "expressions_3", & "check subevent expressions", & u, results) <<Eval trees: test declarations>>= public :: expressions_3 <<Eval trees: tests>>= subroutine expressions_3 (u) integer, intent(in) :: u type(subevt_t) :: subevt write (u, "(A)") "* Test output: Expressions" write (u, "(A)") "* Purpose: test subevent expressions" write (u, "(A)") write (u, "(A)") "* Initialize subevent:" write (u, "(A)") call subevt_init (subevt) call subevt_reset (subevt, 1) call subevt_set_incoming (subevt, 1, & 22, vector4_moving (1.e3_default, 1.e3_default, 1), & 0._default, [2]) call subevt_write (subevt, u) call subevt_reset (subevt, 4) call subevt_reset (subevt, 3) call subevt_set_incoming (subevt, 1, & 21, vector4_moving (1.e3_default, 1.e3_default, 3), & 0._default, [1]) call subevt_polarize (subevt, 1, -1) call subevt_set_outgoing (subevt, 2, & 1, vector4_moving (0._default, 1.e3_default, 3), & -1.e6_default, [7]) call subevt_set_composite (subevt, 3, & vector4_moving (-1.e3_default, 0._default, 3), & [2, 7]) call subevt_write (subevt, u) write (u, "(A)") write (u, "(A)") "* Test output end: expressions_3" end subroutine expressions_3 @ %def expressions_3 @ Test expressions from a PDG array. <<Eval trees: execute tests>>= call test (expressions_4, "expressions_4", & "check pdg array expressions", & u, results) <<Eval trees: test declarations>>= public :: expressions_4 <<Eval trees: tests>>= subroutine expressions_4 (u) integer, intent(in) :: u type(subevt_t), target :: subevt type(string_t) :: expr_text type(ifile_t) :: ifile type(stream_t) :: stream type(eval_tree_t) :: eval_tree type(var_list_t), pointer :: var_list => null () type(pdg_array_t) :: aval write (u, "(A)") "* Test output: Expressions" write (u, "(A)") "* Purpose: test pdg array expressions" write (u, "(A)") write (u, "(A)") "* Initialization:" write (u, "(A)") call syntax_pexpr_init () call syntax_write (syntax_pexpr, u) allocate (var_list) call var_list_append_real (var_list, var_str ("tolerance"), 0._default) aval = 0 call var_list_append_pdg_array (var_list, var_str ("particle"), aval) aval = [11,-11] call var_list_append_pdg_array (var_list, var_str ("lepton"), aval) aval = 22 call var_list_append_pdg_array (var_list, var_str ("photon"), aval) aval = 1 call var_list_append_pdg_array (var_list, var_str ("u"), aval) call subevt_init (subevt) call subevt_reset (subevt, 6) call subevt_set_incoming (subevt, 1, & 1, vector4_moving (1._default, 1._default, 1), 0._default) call subevt_set_incoming (subevt, 2, & -1, vector4_moving (2._default, 2._default, 1), 0._default) call subevt_set_outgoing (subevt, 3, & 22, vector4_moving (3._default, 3._default, 1), 0._default) call subevt_set_outgoing (subevt, 4, & 22, vector4_moving (4._default, 4._default, 1), 0._default) call subevt_set_outgoing (subevt, 5, & 11, vector4_moving (5._default, 5._default, 1), 0._default) call subevt_set_outgoing (subevt, 6, & -11, vector4_moving (6._default, 6._default, 1), 0._default) write (u, "(A)") write (u, "(A)") "* Expression:" expr_text = & "let alias quark = pdg(1):pdg(2):pdg(3) in" // & " any E > 3 GeV " // & " [sort by - Pt " // & " [select if Index < 6 " // & " [photon:pdg(-11):pdg(3):quark " // & " & incoming particle]]]" // & " and" // & " eval Theta [extract index -1 [photon]] > 45 degree" // & " and" // & " count [incoming photon] * 3 > 0" write (u, "(A,A)") " ", char (expr_text) write (u, "(A)") write (u, "(A)") write (u, "(A)") "* Extract the evaluation tree:" write (u, "(A)") call ifile_append (ifile, expr_text) call stream_init (stream, ifile) call eval_tree%init_stream (stream, var_list, subevt, V_LOG) call eval_tree%write (u) call eval_tree%evaluate () write (u, "(A)") write (u, "(A)") "* Evaluate the tree:" write (u, "(A)") call eval_tree%write (u) write (u, "(A)") write (u, "(A)") "* Cleanup" write (u, "(A)") call stream_final (stream) call ifile_final (ifile) call eval_tree%final () call var_list%final () deallocate (var_list) call syntax_pexpr_final () write (u, "(A)") write (u, "(A)") "* Test output end: expressions_4" end subroutine expressions_4 @ %def expressions_4 @ \clearpage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Physics Models} A model object represents a physics model. It contains a table of particle data, a list of parameters, and a vertex table. The list of parameters is a variable list which includes the real parameters (which are pointers to the particle data table) and PDG array variables for the particles themselves. The vertex list is used for phase-space generation, not for calculating the matrix element. The actual numeric model data are in the base type [[model_data_t]], as part of the [[qft]] section. We implement the [[model_t]] as an extension of this, for convenient direct access to the base-type methods via inheritance. (Alternatively, we could delegate these calls explicitly.) The extension contains administrative additions, such as the methods for recalculating derived data and keeping the parameter set consistent. It thus acts as a proxy of the actual model-data object towards the \whizard\ package. There are further proxy objects, such as the [[parameter_t]] array which provides the interface to the actual numeric parameters. Model definitions are read from model files. Therefore, this module contains a parser for model files. The parameter definitions (derived parameters) are Sindarin expressions. The models, as read from file, are stored in a model library which is a simple list of model definitions. For setting up a process object we should make a copy (an instance) of a model, which gets the current parameter values from the global variable list. \subsection{Module} <<[[models.f90]]>>= <<File header>> module models use, intrinsic :: iso_c_binding !NODEP! <<Use kinds>> use kinds, only: c_default_float <<Use strings>> use io_units use diagnostics use md5 use os_interface use physics_defs, only: UNDEFINED use model_data use ifiles use syntax_rules use lexers use parser use pdg_arrays use variables use expr_base use eval_trees use ttv_formfactors, only: init_parameters <<Standard module head>> <<Models: public>> <<Models: parameters>> <<Models: types>> <<Models: interfaces>> <<Models: variables>> contains <<Models: procedures>> end module models @ %def models @ \subsection{Physics Parameters} A parameter has a name, a value. Derived parameters also have a definition in terms of other parameters, which is stored as an [[eval_tree]]. External parameters are set by an external program. This parameter object should be considered as a proxy object. The parameter name and value are stored in a corresponding [[modelpar_data_t]] object which is located in a [[model_data_t]] object. The latter is a component of the [[model_t]] handler. Methods of [[parameter_t]] can be delegated to the [[par_data_t]] component. The [[block_name]] and [[block_index]] values, if nonempty, indicate the possibility of reading this parameter from a SLHA-type input file. (Within the [[parameter_t]] object, this info is just used for I/O, the actual block register is located in the parent [[model_t]] object.) The [[pn]] component is a pointer to the parameter definition inside the model parse tree. It allows us to recreate the [[eval_tree]] when making copies (instances) of the parameter object. <<Models: parameters>>= integer, parameter :: PAR_NONE = 0, PAR_UNUSED = -1 integer, parameter :: PAR_INDEPENDENT = 1, PAR_DERIVED = 2 integer, parameter :: PAR_EXTERNAL = 3 @ %def PAR_NONE PAR_INDEPENDENT PAR_DERIVED PAR_EXTERNAL PAR_UNUSED <<Models: types>>= type :: parameter_t private integer :: type = PAR_NONE class(modelpar_data_t), pointer :: data => null () type(string_t) :: block_name integer, dimension(:), allocatable :: block_index type(parse_node_t), pointer :: pn => null () class(expr_t), allocatable :: expr contains <<Models: parameter: TBP>> end type parameter_t @ %def parameter_t @ Initialization depends on parameter type. Independent parameters are initialized by a constant value or a constant numerical expression (which may contain a unit). Derived parameters are initialized by an arbitrary numerical expression, which makes use of the current variable list. The expression is evaluated by the function [[parameter_reset]]. This implementation supports only real parameters and real values. <<Models: parameter: TBP>>= procedure :: init_independent_value => parameter_init_independent_value procedure :: init_independent => parameter_init_independent procedure :: init_derived => parameter_init_derived procedure :: init_external => parameter_init_external procedure :: init_unused => parameter_init_unused <<Models: procedures>>= subroutine parameter_init_independent_value (par, par_data, name, value) class(parameter_t), intent(out) :: par class(modelpar_data_t), intent(in), target :: par_data type(string_t), intent(in) :: name real(default), intent(in) :: value par%type = PAR_INDEPENDENT par%data => par_data call par%data%init (name, value) end subroutine parameter_init_independent_value subroutine parameter_init_independent (par, par_data, name, pn) class(parameter_t), intent(out) :: par class(modelpar_data_t), intent(in), target :: par_data type(string_t), intent(in) :: name type(parse_node_t), intent(in), target :: pn par%type = PAR_INDEPENDENT par%pn => pn allocate (eval_tree_t :: par%expr) select type (expr => par%expr) type is (eval_tree_t) call expr%init_numeric_value (pn) end select par%data => par_data call par%data%init (name, par%expr%get_real ()) end subroutine parameter_init_independent subroutine parameter_init_derived (par, par_data, name, pn, var_list) class(parameter_t), intent(out) :: par class(modelpar_data_t), intent(in), target :: par_data type(string_t), intent(in) :: name type(parse_node_t), intent(in), target :: pn type(var_list_t), intent(in), target :: var_list par%type = PAR_DERIVED par%pn => pn allocate (eval_tree_t :: par%expr) select type (expr => par%expr) type is (eval_tree_t) call expr%init_expr (pn, var_list=var_list) end select par%data => par_data ! call par%expr%evaluate () call par%data%init (name, 0._default) end subroutine parameter_init_derived subroutine parameter_init_external (par, par_data, name) class(parameter_t), intent(out) :: par class(modelpar_data_t), intent(in), target :: par_data type(string_t), intent(in) :: name par%type = PAR_EXTERNAL par%data => par_data call par%data%init (name, 0._default) end subroutine parameter_init_external subroutine parameter_init_unused (par, par_data, name) class(parameter_t), intent(out) :: par class(modelpar_data_t), intent(in), target :: par_data type(string_t), intent(in) :: name par%type = PAR_UNUSED par%data => par_data call par%data%init (name, 0._default) end subroutine parameter_init_unused @ %def parameter_init_independent_value @ %def parameter_init_independent @ %def parameter_init_derived @ %def parameter_init_external @ %def parameter_init_unused @ The finalizer is needed for the evaluation tree in the definition. <<Models: parameter: TBP>>= procedure :: final => parameter_final <<Models: procedures>>= subroutine parameter_final (par) class(parameter_t), intent(inout) :: par if (allocated (par%expr)) then call par%expr%final () end if end subroutine parameter_final @ %def parameter_final @ All derived parameters should be recalculated if some independent parameters have changed: <<Models: parameter: TBP>>= procedure :: reset_derived => parameter_reset_derived <<Models: procedures>>= subroutine parameter_reset_derived (par) class(parameter_t), intent(inout) :: par select case (par%type) case (PAR_DERIVED) call par%expr%evaluate () par%data = par%expr%get_real () end select end subroutine parameter_reset_derived @ %def parameter_reset_derived parameter_reset_external @ Output. [We should have a formula format for the eval tree, suitable for input and output!] <<Models: parameter: TBP>>= procedure :: write => parameter_write <<Models: procedures>>= subroutine parameter_write (par, unit, write_defs) class(parameter_t), intent(in) :: par integer, intent(in), optional :: unit logical, intent(in), optional :: write_defs logical :: defs integer :: u u = given_output_unit (unit); if (u < 0) return defs = .false.; if (present (write_defs)) defs = write_defs select case (par%type) case (PAR_INDEPENDENT) write (u, "(3x,A)", advance="no") "parameter" call par%data%write (u) case (PAR_DERIVED) write (u, "(3x,A)", advance="no") "derived" call par%data%write (u) case (PAR_EXTERNAL) write (u, "(3x,A)", advance="no") "external" call par%data%write (u) case (PAR_UNUSED) write (u, "(3x,A)", advance="no") "unused" write (u, "(1x,A)", advance="no") char (par%data%get_name ()) end select select case (par%type) case (PAR_INDEPENDENT) if (allocated (par%block_index)) then write (u, "(1x,A,1x,A,*(1x,I0))") & "slha_entry", char (par%block_name), par%block_index else write (u, "(A)") end if case (PAR_DERIVED) if (defs) then call par%expr%write (unit) else write (u, "(A)") end if case default write (u, "(A)") end select end subroutine parameter_write @ %def parameter_write @ Screen output variant. Restrict output to the given parameter type. <<Models: parameter: TBP>>= procedure :: show => parameter_show <<Models: procedures>>= subroutine parameter_show (par, l, u, partype) class(parameter_t), intent(in) :: par integer, intent(in) :: l, u integer, intent(in) :: partype if (par%type == partype) then call par%data%show (l, u) end if end subroutine parameter_show @ %def parameter_show @ \subsection{SLHA block register} For the optional SLHA interface, the model record contains a register of SLHA-type block names together with index values, which point to a particular parameter. These are private types: <<Models: types>>= type :: slha_entry_t integer, dimension(:), allocatable :: block_index integer :: i_par = 0 end type slha_entry_t @ %def slha_entry_t <<Models: types>>= type :: slha_block_t type(string_t) :: name integer :: n_entry = 0 type(slha_entry_t), dimension(:), allocatable :: entry end type slha_block_t @ %def slha_block_t @ \subsection{Model Object} A model object holds all information about parameters, particles, and vertices. For models that require an external program for parameter calculation, there is the pointer to a function that does this calculation, given the set of independent and derived parameters. As explained above, the type inherits from [[model_data_t]], which is the actual storage for the model data. When reading a model, we create a parse tree. Parameter definitions are available via parse nodes. Since we may need those later when making model instances, we keep the whole parse tree in the model definition (but not in the instances). <<Models: public>>= public :: model_t <<Models: types>>= type, extends (model_data_t) :: model_t private character(32) :: md5sum = "" logical :: ufo_model = .false. type(string_t) :: ufo_path type(string_t), dimension(:), allocatable :: schemes type(string_t), allocatable :: selected_scheme type(parameter_t), dimension(:), allocatable :: par integer :: n_slha_block = 0 type(slha_block_t), dimension(:), allocatable :: slha_block integer :: max_par_name_length = 0 integer :: max_field_name_length = 0 type(var_list_t) :: var_list type(string_t) :: dlname procedure(model_init_external_parameters), nopass, pointer :: & init_external_parameters => null () type(dlaccess_t) :: dlaccess type(parse_tree_t) :: parse_tree contains <<Models: model: TBP>> end type model_t @ %def model_t @ This is the interface for a procedure that initializes the calculation of external parameters, given the array of all parameters. <<Models: interfaces>>= abstract interface subroutine model_init_external_parameters (par) bind (C) import real(c_default_float), dimension(*), intent(inout) :: par end subroutine model_init_external_parameters end interface @ %def model_init_external_parameters @ Initialization: Specify the number of parameters, particles, vertices and allocate memory. If an associated DL library is specified, load this library. The model may already carry scheme information, so we have to save and restore the scheme number when actually initializing the [[model_data_t]] base. <<Models: model: TBP>>= generic :: init => model_init procedure, private :: model_init <<Models: procedures>>= subroutine model_init & (model, name, libname, os_data, n_par, n_prt, n_vtx, ufo) class(model_t), intent(inout) :: model type(string_t), intent(in) :: name, libname type(os_data_t), intent(in) :: os_data integer, intent(in) :: n_par, n_prt, n_vtx logical, intent(in), optional :: ufo type(c_funptr) :: c_fptr type(string_t) :: libpath integer :: scheme_num scheme_num = model%get_scheme_num () call model%basic_init (name, n_par, n_prt, n_vtx) if (present (ufo)) model%ufo_model = ufo call model%set_scheme_num (scheme_num) if (libname /= "") then if (.not. os_data%use_testfiles) then libpath = os_data%whizard_models_libpath_local model%dlname = os_get_dlname ( & libpath // "/" // libname, os_data, ignore=.true.) end if if (model%dlname == "") then libpath = os_data%whizard_models_libpath model%dlname = os_get_dlname (libpath // "/" // libname, os_data) end if else model%dlname = "" end if if (model%dlname /= "") then if (.not. dlaccess_is_open (model%dlaccess)) then if (logging) & call msg_message ("Loading model auxiliary library '" & // char (libpath) // "/" // char (model%dlname) // "'") call dlaccess_init (model%dlaccess, os_data%whizard_models_libpath, & model%dlname, os_data) if (dlaccess_has_error (model%dlaccess)) then call msg_message (char (dlaccess_get_error (model%dlaccess))) call msg_fatal ("Loading model auxiliary library '" & // char (model%dlname) // "' failed") return end if c_fptr = dlaccess_get_c_funptr (model%dlaccess, & var_str ("init_external_parameters")) if (dlaccess_has_error (model%dlaccess)) then call msg_message (char (dlaccess_get_error (model%dlaccess))) call msg_fatal ("Loading function from auxiliary library '" & // char (model%dlname) // "' failed") return end if call c_f_procpointer (c_fptr, model% init_external_parameters) end if end if end subroutine model_init @ %def model_init @ For a model instance, we do not attempt to load a DL library. This is the core of the full initializer above. <<Models: model: TBP>>= procedure, private :: basic_init => model_basic_init <<Models: procedures>>= subroutine model_basic_init (model, name, n_par, n_prt, n_vtx) class(model_t), intent(inout) :: model type(string_t), intent(in) :: name integer, intent(in) :: n_par, n_prt, n_vtx allocate (model%par (n_par)) call model%model_data_t%init (name, n_par, 0, n_prt, n_vtx) end subroutine model_basic_init @ %def model_basic_init @ Finalization: The variable list contains allocated pointers, also the parse tree. We also close the DL access object, if any, that enables external parameter calculation. <<Models: model: TBP>>= procedure :: final => model_final <<Models: procedures>>= subroutine model_final (model) class(model_t), intent(inout) :: model integer :: i if (allocated (model%par)) then do i = 1, size (model%par) call model%par(i)%final () end do end if call model%var_list%final (follow_link=.false.) if (model%dlname /= "") call dlaccess_final (model%dlaccess) call parse_tree_final (model%parse_tree) call model%model_data_t%final () end subroutine model_final @ %def model_final @ Output. By default, the output is in the form of an input file. If [[verbose]] is true, for each derived parameter the definition (eval tree) is displayed, and the vertex hash table is shown. <<Models: model: TBP>>= procedure :: write => model_write <<Models: procedures>>= subroutine model_write (model, unit, verbose, & show_md5sum, show_variables, show_parameters, & show_particles, show_vertices, show_scheme) class(model_t), intent(in) :: model integer, intent(in), optional :: unit logical, intent(in), optional :: verbose logical, intent(in), optional :: show_md5sum logical, intent(in), optional :: show_variables logical, intent(in), optional :: show_parameters logical, intent(in), optional :: show_particles logical, intent(in), optional :: show_vertices logical, intent(in), optional :: show_scheme logical :: verb, show_md5, show_par, show_var integer :: u, i u = given_output_unit (unit); if (u < 0) return verb = .false.; if (present (verbose)) verb = verbose show_md5 = .true.; if (present (show_md5sum)) & show_md5 = show_md5sum show_par = .true.; if (present (show_parameters)) & show_par = show_parameters show_var = verb; if (present (show_variables)) & show_var = show_variables write (u, "(A,A,A)") 'model "', char (model%get_name ()), '"' if (show_md5 .and. model%md5sum /= "") & write (u, "(1x,A,A,A)") "! md5sum = '", model%md5sum, "'" if (model%is_ufo_model ()) then write (u, "(1x,A)") "! model derived from UFO source" else if (model%has_schemes ()) then write (u, "(1x,A)", advance="no") "! schemes =" do i = 1, size (model%schemes) if (i > 1) write (u, "(',')", advance="no") write (u, "(1x,A,A,A)", advance="no") & "'", char (model%schemes(i)), "'" end do write (u, *) if (allocated (model%selected_scheme)) then write (u, "(1x,A,A,A,I0,A)") & "! selected scheme = '", char (model%get_scheme ()), & "' (", model%get_scheme_num (), ")" end if end if if (show_par) then write (u, "(A)") do i = 1, size (model%par) call model%par(i)%write (u, write_defs=verbose) end do end if call model%model_data_t%write (unit, verbose, & show_md5sum, show_variables, & show_parameters=.false., & show_particles=show_particles, & show_vertices=show_vertices, & show_scheme=show_scheme) if (show_var) then write (u, "(A)") call var_list_write (model%var_list, unit, follow_link=.false.) end if end subroutine model_write @ %def model_write @ Screen output, condensed form. <<Models: model: TBP>>= procedure :: show => model_show <<Models: procedures>>= subroutine model_show (model, unit) class(model_t), intent(in) :: model integer, intent(in), optional :: unit integer :: i, u, l u = given_output_unit (unit) write (u, "(A,1x,A)") "Model:", char (model%get_name ()) if (model%has_schemes ()) then write (u, "(2x,A,A,A,I0,A)") "Scheme: '", & char (model%get_scheme ()), "' (", model%get_scheme_num (), ")" end if l = model%max_field_name_length call model%show_fields (l, u) l = model%max_par_name_length if (any (model%par%type == PAR_INDEPENDENT)) then write (u, "(2x,A)") "Independent parameters:" do i = 1, size (model%par) call model%par(i)%show (l, u, PAR_INDEPENDENT) end do end if if (any (model%par%type == PAR_DERIVED)) then write (u, "(2x,A)") "Derived parameters:" do i = 1, size (model%par) call model%par(i)%show (l, u, PAR_DERIVED) end do end if if (any (model%par%type == PAR_EXTERNAL)) then write (u, "(2x,A)") "External parameters:" do i = 1, size (model%par) call model%par(i)%show (l, u, PAR_EXTERNAL) end do end if if (any (model%par%type == PAR_UNUSED)) then write (u, "(2x,A)") "Unused parameters:" do i = 1, size (model%par) call model%par(i)%show (l, u, PAR_UNUSED) end do end if end subroutine model_show @ %def model_show @ Show all fields/particles. <<Models: model: TBP>>= procedure :: show_fields => model_show_fields <<Models: procedures>>= subroutine model_show_fields (model, l, unit) class(model_t), intent(in), target :: model integer, intent(in) :: l integer, intent(in), optional :: unit type(field_data_t), pointer :: field integer :: u, i u = given_output_unit (unit) write (u, "(2x,A)") "Particles:" do i = 1, model%get_n_field () field => model%get_field_ptr_by_index (i) call field%show (l, u) end do end subroutine model_show_fields @ %def model_data_show_fields @ Show the list of stable, unstable, polarized, or unpolarized particles, respectively. <<Models: model: TBP>>= procedure :: show_stable => model_show_stable procedure :: show_unstable => model_show_unstable procedure :: show_polarized => model_show_polarized procedure :: show_unpolarized => model_show_unpolarized <<Models: procedures>>= subroutine model_show_stable (model, unit) class(model_t), intent(in), target :: model integer, intent(in), optional :: unit type(field_data_t), pointer :: field integer :: u, i u = given_output_unit (unit) write (u, "(A,1x)", advance="no") "Stable particles:" do i = 1, model%get_n_field () field => model%get_field_ptr_by_index (i) if (field%is_stable (.false.)) then write (u, "(1x,A)", advance="no") char (field%get_name (.false.)) end if if (field%has_antiparticle ()) then if (field%is_stable (.true.)) then write (u, "(1x,A)", advance="no") char (field%get_name (.true.)) end if end if end do write (u, *) end subroutine model_show_stable subroutine model_show_unstable (model, unit) class(model_t), intent(in), target :: model integer, intent(in), optional :: unit type(field_data_t), pointer :: field integer :: u, i u = given_output_unit (unit) write (u, "(A,1x)", advance="no") "Unstable particles:" do i = 1, model%get_n_field () field => model%get_field_ptr_by_index (i) if (.not. field%is_stable (.false.)) then write (u, "(1x,A)", advance="no") char (field%get_name (.false.)) end if if (field%has_antiparticle ()) then if (.not. field%is_stable (.true.)) then write (u, "(1x,A)", advance="no") char (field%get_name (.true.)) end if end if end do write (u, *) end subroutine model_show_unstable subroutine model_show_polarized (model, unit) class(model_t), intent(in), target :: model integer, intent(in), optional :: unit type(field_data_t), pointer :: field integer :: u, i u = given_output_unit (unit) write (u, "(A,1x)", advance="no") "Polarized particles:" do i = 1, model%get_n_field () field => model%get_field_ptr_by_index (i) if (field%is_polarized (.false.)) then write (u, "(1x,A)", advance="no") char (field%get_name (.false.)) end if if (field%has_antiparticle ()) then if (field%is_polarized (.true.)) then write (u, "(1x,A)", advance="no") char (field%get_name (.true.)) end if end if end do write (u, *) end subroutine model_show_polarized subroutine model_show_unpolarized (model, unit) class(model_t), intent(in), target :: model integer, intent(in), optional :: unit type(field_data_t), pointer :: field integer :: u, i u = given_output_unit (unit) write (u, "(A,1x)", advance="no") "Unpolarized particles:" do i = 1, model%get_n_field () field => model%get_field_ptr_by_index (i) if (.not. field%is_polarized (.false.)) then write (u, "(1x,A)", advance="no") & char (field%get_name (.false.)) end if if (field%has_antiparticle ()) then if (.not. field%is_polarized (.true.)) then write (u, "(1x,A)", advance="no") char (field%get_name (.true.)) end if end if end do write (u, *) end subroutine model_show_unpolarized @ %def model_show_stable @ %def model_show_unstable @ %def model_show_polarized @ %def model_show_unpolarized @ Retrieve the MD5 sum of a model (actually, of the model file). <<Models: model: TBP>>= procedure :: get_md5sum => model_get_md5sum <<Models: procedures>>= function model_get_md5sum (model) result (md5sum) character(32) :: md5sum class(model_t), intent(in) :: model md5sum = model%md5sum end function model_get_md5sum @ %def model_get_md5sum @ Parameters are defined by an expression which may be constant or arbitrary. <<Models: model: TBP>>= procedure :: & set_parameter_constant => model_set_parameter_constant procedure, private :: & set_parameter_parse_node => model_set_parameter_parse_node procedure :: & set_parameter_external => model_set_parameter_external procedure :: & set_parameter_unused => model_set_parameter_unused <<Models: procedures>>= subroutine model_set_parameter_constant (model, i, name, value) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(string_t), intent(in) :: name real(default), intent(in) :: value logical, save, target :: known = .true. class(modelpar_data_t), pointer :: par_data real(default), pointer :: value_ptr par_data => model%get_par_real_ptr (i) call model%par(i)%init_independent_value (par_data, name, value) value_ptr => par_data%get_real_ptr () call var_list_append_real_ptr (model%var_list, & name, value_ptr, & is_known=known, intrinsic=.true.) model%max_par_name_length = max (model%max_par_name_length, len (name)) end subroutine model_set_parameter_constant subroutine model_set_parameter_parse_node (model, i, name, pn, constant) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(string_t), intent(in) :: name type(parse_node_t), intent(in), target :: pn logical, intent(in) :: constant logical, save, target :: known = .true. class(modelpar_data_t), pointer :: par_data real(default), pointer :: value_ptr par_data => model%get_par_real_ptr (i) if (constant) then call model%par(i)%init_independent (par_data, name, pn) else call model%par(i)%init_derived (par_data, name, pn, model%var_list) end if value_ptr => par_data%get_real_ptr () call var_list_append_real_ptr (model%var_list, & name, value_ptr, & is_known=known, locked=.not.constant, intrinsic=.true.) model%max_par_name_length = max (model%max_par_name_length, len (name)) end subroutine model_set_parameter_parse_node subroutine model_set_parameter_external (model, i, name) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(string_t), intent(in) :: name logical, save, target :: known = .true. class(modelpar_data_t), pointer :: par_data real(default), pointer :: value_ptr par_data => model%get_par_real_ptr (i) call model%par(i)%init_external (par_data, name) value_ptr => par_data%get_real_ptr () call var_list_append_real_ptr (model%var_list, & name, value_ptr, & is_known=known, locked=.true., intrinsic=.true.) model%max_par_name_length = max (model%max_par_name_length, len (name)) end subroutine model_set_parameter_external subroutine model_set_parameter_unused (model, i, name) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(string_t), intent(in) :: name class(modelpar_data_t), pointer :: par_data par_data => model%get_par_real_ptr (i) call model%par(i)%init_unused (par_data, name) call var_list_append_real (model%var_list, & name, locked=.true., intrinsic=.true.) model%max_par_name_length = max (model%max_par_name_length, len (name)) end subroutine model_set_parameter_unused @ %def model_set_parameter @ Make a copy of a parameter. We assume that the [[model_data_t]] parameter arrays have already been copied, so names and values are available in the current model, and can be used as targets. The eval tree should not be copied, since it should refer to the new variable list. The safe solution is to make use of the above initializers, which also take care of the building a new variable list. <<Models: model: TBP>>= procedure, private :: copy_parameter => model_copy_parameter <<Models: procedures>>= subroutine model_copy_parameter (model, i, par) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(parameter_t), intent(in) :: par type(string_t) :: name real(default) :: value name = par%data%get_name () select case (par%type) case (PAR_INDEPENDENT) if (associated (par%pn)) then call model%set_parameter_parse_node (i, name, par%pn, & constant = .true.) else value = par%data%get_real () call model%set_parameter_constant (i, name, value) end if if (allocated (par%block_index)) then model%par(i)%block_name = par%block_name model%par(i)%block_index = par%block_index end if case (PAR_DERIVED) call model%set_parameter_parse_node (i, name, par%pn, & constant = .false.) case (PAR_EXTERNAL) call model%set_parameter_external (i, name) case (PAR_UNUSED) call model%set_parameter_unused (i, name) end select end subroutine model_copy_parameter @ %def model_copy_parameter @ Recalculate all derived parameters. <<Models: model: TBP>>= procedure :: update_parameters => model_parameters_update <<Models: procedures>>= subroutine model_parameters_update (model) class(model_t), intent(inout) :: model integer :: i real(default), dimension(:), allocatable :: par do i = 1, size (model%par) call model%par(i)%reset_derived () end do if (associated (model%init_external_parameters)) then allocate (par (model%get_n_real ())) call model%real_parameters_to_c_array (par) call model%init_external_parameters (par) call model%real_parameters_from_c_array (par) if (model%get_name() == var_str ("SM_tt_threshold")) & call set_threshold_parameters () end if contains subroutine set_threshold_parameters () real(default) :: mpole, wtop !!! !!! !!! Workaround for OS-X and BSD which do not load !!! !!! !!! the global values created previously. Therefore !!! !!! !!! a second initialization for the threshold model, !!! !!! !!! where M1S is required to compute the top mass. call init_parameters (mpole, wtop, & par(20), par(21), par(22), & par(19), par(39), par(4), par(1), & par(2), par(10), par(24), par(25), & par(23), par(26), par(27), par(29), & par(30), par(31), par(32), par(33), & par(36) > 0._default, par(28)) end subroutine set_threshold_parameters end subroutine model_parameters_update @ %def model_parameters_update @ Initialize field data with PDG long name and PDG code. <<Models: model: TBP>>= procedure, private :: init_field => model_init_field <<Models: procedures>>= subroutine model_init_field (model, i, longname, pdg) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(string_t), intent(in) :: longname integer, intent(in) :: pdg type(field_data_t), pointer :: field field => model%get_field_ptr_by_index (i) call field%init (longname, pdg) end subroutine model_init_field @ %def model_init_field @ Copy field data for index [[i]] from another particle which serves as a template. The name should be the unique long name. <<Models: model: TBP>>= procedure, private :: copy_field => model_copy_field <<Models: procedures>>= subroutine model_copy_field (model, i, name_src) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(string_t), intent(in) :: name_src type(field_data_t), pointer :: field_src, field field_src => model%get_field_ptr (name_src) field => model%get_field_ptr_by_index (i) call field%copy_from (field_src) end subroutine model_copy_field @ %def model_copy_field @ \subsection{Model Access via Variables} Write the model variable list. <<Models: model: TBP>>= procedure :: write_var_list => model_write_var_list <<Models: procedures>>= subroutine model_write_var_list (model, unit, follow_link) class(model_t), intent(in) :: model integer, intent(in), optional :: unit logical, intent(in), optional :: follow_link call var_list_write (model%var_list, unit, follow_link) end subroutine model_write_var_list @ %def model_write_var_list @ Link a variable list to the model variables. <<Models: model: TBP>>= procedure :: link_var_list => model_link_var_list <<Models: procedures>>= subroutine model_link_var_list (model, var_list) class(model_t), intent(inout) :: model type(var_list_t), intent(in), target :: var_list call model%var_list%link (var_list) end subroutine model_link_var_list @ %def model_link_var_list @ Check if the model contains a named variable. <<Models: model: TBP>>= procedure :: var_exists => model_var_exists <<Models: procedures>>= function model_var_exists (model, name) result (flag) class(model_t), intent(in) :: model type(string_t), intent(in) :: name logical :: flag flag = model%var_list%contains (name, follow_link=.false.) end function model_var_exists @ %def model_var_exists @ Check if the model variable is a derived parameter, i.e., locked. <<Models: model: TBP>>= procedure :: var_is_locked => model_var_is_locked <<Models: procedures>>= function model_var_is_locked (model, name) result (flag) class(model_t), intent(in) :: model type(string_t), intent(in) :: name logical :: flag flag = model%var_list%is_locked (name, follow_link=.false.) end function model_var_is_locked @ %def model_var_is_locked @ Set a model parameter via the named variable. We assume that the variable exists and is writable, i.e., non-locked. We update the model and variable list, so independent and derived parameters are always synchronized. <<Models: model: TBP>>= procedure :: set_real => model_var_set_real <<Models: procedures>>= subroutine model_var_set_real (model, name, rval, verbose, pacified) class(model_t), intent(inout) :: model type(string_t), intent(in) :: name real(default), intent(in) :: rval logical, intent(in), optional :: verbose, pacified call model%var_list%set_real (name, rval, & is_known=.true., ignore=.false., & verbose=verbose, model_name=model%get_name (), pacified=pacified) call model%update_parameters () end subroutine model_var_set_real @ %def model_var_set_real @ Retrieve a model parameter value. <<Models: model: TBP>>= procedure :: get_rval => model_var_get_rval <<Models: procedures>>= function model_var_get_rval (model, name) result (rval) class(model_t), intent(in) :: model type(string_t), intent(in) :: name real(default) :: rval rval = model%var_list%get_rval (name, follow_link=.false.) end function model_var_get_rval @ %def model_var_get_rval @ [To be deleted] Return a pointer to the variable list. <<Models: model: TBP>>= procedure :: get_var_list_ptr => model_get_var_list_ptr <<Models: procedures>>= function model_get_var_list_ptr (model) result (var_list) type(var_list_t), pointer :: var_list class(model_t), intent(in), target :: model var_list => model%var_list end function model_get_var_list_ptr @ %def model_get_var_list_ptr @ \subsection{UFO models} A single flag identifies a model as a UFO model. There is no other distinction, but the flag allows us to handle built-in and UFO models with the same name in parallel. <<Models: model: TBP>>= procedure :: is_ufo_model => model_is_ufo_model <<Models: procedures>>= function model_is_ufo_model (model) result (flag) class(model_t), intent(in) :: model logical :: flag flag = model%ufo_model end function model_is_ufo_model @ %def model_is_ufo_model @ Return the UFO path used for fetching the UFO source. <<Models: model: TBP>>= procedure :: get_ufo_path => model_get_ufo_path <<Models: procedures>>= function model_get_ufo_path (model) result (path) class(model_t), intent(in) :: model type(string_t) :: path if (model%ufo_model) then path = model%ufo_path else path = "" end if end function model_get_ufo_path @ %def model_get_ufo_path @ Call OMega and generate a model file from an UFO source file. We start with a file name; the model name is expected to be the base name, stripping extensions. The path search either takes [[ufo_path_requested]], or searches first in the working directory, then in a hard-coded UFO model directory. <<Models: procedures>>= subroutine model_generate_ufo (filename, os_data, ufo_path, & ufo_path_requested) type(string_t), intent(in) :: filename type(os_data_t), intent(in) :: os_data type(string_t), intent(out) :: ufo_path type(string_t), intent(in), optional :: ufo_path_requested type(string_t) :: model_name, omega_path, ufo_dir, ufo_init logical :: exist call get_model_name (filename, model_name) call msg_message ("Model: Generating model '" // char (model_name) & // "' from UFO sources") if (present (ufo_path_requested)) then call msg_message ("Model: Searching for UFO sources in '" & // char (ufo_path_requested) // "'") ufo_path = ufo_path_requested ufo_dir = ufo_path_requested // "/" // model_name ufo_init = ufo_dir // "/" // "__init__.py" inquire (file = char (ufo_init), exist = exist) else call msg_message ("Model: Searching for UFO sources in & &working directory") ufo_path = "." ufo_dir = ufo_path // "/" // model_name ufo_init = ufo_dir // "/" // "__init__.py" inquire (file = char (ufo_init), exist = exist) if (.not. exist) then ufo_path = char (os_data%whizard_modelpath_ufo) ufo_dir = ufo_path // "/" // model_name ufo_init = ufo_dir // "/" // "__init__.py" call msg_message ("Model: Searching for UFO sources in '" & // char (os_data%whizard_modelpath_ufo) // "'") inquire (file = char (ufo_init), exist = exist) end if end if if (exist) then call msg_message ("Model: Found UFO sources for model '" & // char (model_name) // "'") else call msg_fatal ("Model: UFO sources for model '" & // char (model_name) // "' not found") end if omega_path = os_data%whizard_omega_binpath // "/omega_UFO.opt" call os_system_call (omega_path & // " -model:UFO_dir " // ufo_dir & // " -model:exec" & // " -model:write_WHIZARD" & // " > " // filename) inquire (file = char (filename), exist = exist) if (exist) then call msg_message ("Model: Model file '" // char (filename) //& "' generated") else call msg_fatal ("Model: Model file '" // char (filename) & // "' could not be generated") end if contains subroutine get_model_name (filename, model_name) type(string_t), intent(in) :: filename type(string_t), intent(out) :: model_name type(string_t) :: string string = filename call split (string, model_name, ".") end subroutine get_model_name end subroutine model_generate_ufo @ %def model_generate_ufo @ \subsection{Scheme handling} A model can specify a set of allowed schemes that steer the setup of model variables. The model file can contain scheme-specific declarations that are selected by a [[select scheme]] clause. Scheme support is optional. If enabled, the model object contains a list of allowed schemes, and the model reader takes the active scheme as an argument. After the model has been read, the scheme is fixed and can no longer be modified. The model supports schemes if the scheme array is allocated. <<Models: model: TBP>>= procedure :: has_schemes => model_has_schemes <<Models: procedures>>= function model_has_schemes (model) result (flag) logical :: flag class(model_t), intent(in) :: model flag = allocated (model%schemes) end function model_has_schemes @ %def model_has_schemes @ Enable schemes: fix the list of allowed schemes. <<Models: model: TBP>>= procedure :: enable_schemes => model_enable_schemes <<Models: procedures>>= subroutine model_enable_schemes (model, scheme) class(model_t), intent(inout) :: model type(string_t), dimension(:), intent(in) :: scheme allocate (model%schemes (size (scheme)), source = scheme) end subroutine model_enable_schemes @ %def model_enable_schemes @ Find the scheme. Check if the scheme is allowed. The numeric index of the selected scheme is stored in the [[model_data_t]] base object. If no argument is given, select the first scheme. The numeric scheme ID will then be $1$, while a model without schemes retains $0$. <<Models: model: TBP>>= procedure :: set_scheme => model_set_scheme <<Models: procedures>>= subroutine model_set_scheme (model, scheme) class(model_t), intent(inout) :: model type(string_t), intent(in), optional :: scheme logical :: ok integer :: i if (model%has_schemes ()) then if (present (scheme)) then ok = .false. CHECK_SCHEME: do i = 1, size (model%schemes) if (scheme == model%schemes(i)) then allocate (model%selected_scheme, source = scheme) call model%set_scheme_num (i) ok = .true. exit CHECK_SCHEME end if end do CHECK_SCHEME if (.not. ok) then call msg_fatal & ("Model '" // char (model%get_name ()) & // "': scheme '" // char (scheme) // "' not supported") end if else allocate (model%selected_scheme, source = model%schemes(1)) call model%set_scheme_num (1) end if else if (present (scheme)) then call msg_error & ("Model '" // char (model%get_name ()) & // "' does not support schemes") end if end if end subroutine model_set_scheme @ %def model_set_scheme @ Get the scheme. Note that the base [[model_data_t]] provides a [[get_scheme_num]] getter function. <<Models: model: TBP>>= procedure :: get_scheme => model_get_scheme <<Models: procedures>>= function model_get_scheme (model) result (scheme) class(model_t), intent(in) :: model type(string_t) :: scheme if (allocated (model%selected_scheme)) then scheme = model%selected_scheme else scheme = "" end if end function model_get_scheme @ %def model_get_scheme @ Check if a model has been set up with a specific name and (if applicable) scheme. This helps in determining whether we need a new model object. A UFO model is considered to be distinct from a non-UFO model. We assume that if [[ufo]] is asked for, there is no scheme argument. Furthermore, if there is an [[ufo_path]] requested, it must coincide with the [[ufo_path]] of the model. If not, the model [[ufo_path]] is not checked. <<Models: model: TBP>>= procedure :: matches => model_matches <<Models: procedures>>= function model_matches (model, name, scheme, ufo, ufo_path) result (flag) logical :: flag class(model_t), intent(in) :: model type(string_t), intent(in) :: name type(string_t), intent(in), optional :: scheme logical, intent(in), optional :: ufo type(string_t), intent(in), optional :: ufo_path logical :: ufo_model ufo_model = .false.; if (present (ufo)) ufo_model = ufo if (name /= model%get_name ()) then flag = .false. else if (ufo_model .neqv. model%is_ufo_model ()) then flag = .false. else if (ufo_model) then if (present (ufo_path)) then flag = model%get_ufo_path () == ufo_path else flag = .true. end if else if (model%has_schemes ()) then if (present (scheme)) then flag = model%get_scheme () == scheme else flag = model%get_scheme_num () == 1 end if else if (present (scheme)) then flag = .false. else flag = .true. end if end function model_matches @ %def model_matches @ \subsection{SLHA-type interface} Abusing the original strict SUSY Les Houches Accord (SLHA), we support reading parameter data from some custom SLHA-type input file. To this end, the [[model]] object stores a list of model-specific block names together with information how to find a parameter in the model record, given a block name and index vector. Check if the model supports custom SLHA block info. This is the case if [[n_slha_block]] is nonzero, i.e., after SLHA block names have been parsed and registered. <<Models: model: TBP>>= procedure :: supports_custom_slha => model_supports_custom_slha <<Models: procedures>>= function model_supports_custom_slha (model) result (flag) class(model_t), intent(in) :: model logical :: flag flag = model%n_slha_block > 0 end function model_supports_custom_slha @ %def model_supports_custom_slha @ Return the block names for all SLHA block references. <<Models: model: TBP>>= procedure :: get_custom_slha_blocks => model_get_custom_slha_blocks <<Models: procedures>>= subroutine model_get_custom_slha_blocks (model, block_name) class(model_t), intent(in) :: model type(string_t), dimension(:), allocatable :: block_name integer :: i allocate (block_name (model%n_slha_block)) do i = 1, size (block_name) block_name(i) = model%slha_block(i)%name end do end subroutine model_get_custom_slha_blocks @ %def model_get_custom_slha_blocks @ This routine registers a SLHA block reference. We have the index of a (new) parameter entry and a parse node from the model file which specifies a block name and an index array. <<Models: procedures>>= subroutine model_record_slha_block_entry (model, i_par, node) class(model_t), intent(inout) :: model integer, intent(in) :: i_par type(parse_node_t), intent(in), target :: node type(parse_node_t), pointer :: node_block_name, node_index type(string_t) :: block_name integer :: n_index, i, i_block integer, dimension(:), allocatable :: block_index node_block_name => node%get_sub_ptr (2) select case (char (node_block_name%get_rule_key ())) case ("block_name") block_name = node_block_name%get_string () case ("QNUMBERS") block_name = "QNUMBERS" case default block_name = node_block_name%get_string () end select n_index = node%get_n_sub () - 2 allocate (block_index (n_index)) node_index => node_block_name%get_next_ptr () do i = 1, n_index block_index(i) = node_index%get_integer () node_index => node_index%get_next_ptr () end do i_block = 0 FIND_BLOCK: do i = 1, model%n_slha_block if (model%slha_block(i)%name == block_name) then i_block = i exit FIND_BLOCK end if end do FIND_BLOCK if (i_block == 0) then call model_add_slha_block (model, block_name) i_block = model%n_slha_block end if associate (b => model%slha_block(i_block)) call add_slha_block_entry (b, block_index, i_par) end associate model%par(i_par)%block_name = block_name model%par(i_par)%block_index = block_index end subroutine model_record_slha_block_entry @ %def model_record_slha_block_entry @ Add a new entry to the SLHA block register, increasing the array size if necessary <<Models: procedures>>= subroutine model_add_slha_block (model, block_name) class(model_t), intent(inout) :: model type(string_t), intent(in) :: block_name if (.not. allocated (model%slha_block)) allocate (model%slha_block (1)) if (model%n_slha_block == size (model%slha_block)) call grow model%n_slha_block = model%n_slha_block + 1 associate (b => model%slha_block(model%n_slha_block)) b%name = block_name allocate (b%entry (1)) end associate contains subroutine grow type(slha_block_t), dimension(:), allocatable :: b_tmp call move_alloc (model%slha_block, b_tmp) allocate (model%slha_block (2 * size (b_tmp))) model%slha_block(:size (b_tmp)) = b_tmp(:) end subroutine grow end subroutine model_add_slha_block @ %def model_add_slha_block @ Add a new entry to a block-register record. The entry establishes a pointer-target relation between an index array within the SLHA block and a parameter-data record. We increase the entry array as needed. <<Models: procedures>>= subroutine add_slha_block_entry (b, block_index, i_par) type(slha_block_t), intent(inout) :: b integer, dimension(:), intent(in) :: block_index integer, intent(in) :: i_par if (b%n_entry == size (b%entry)) call grow b%n_entry = b%n_entry + 1 associate (entry => b%entry(b%n_entry)) entry%block_index = block_index entry%i_par = i_par end associate contains subroutine grow type(slha_entry_t), dimension(:), allocatable :: entry_tmp call move_alloc (b%entry, entry_tmp) allocate (b%entry (2 * size (entry_tmp))) b%entry(:size (entry_tmp)) = entry_tmp(:) end subroutine grow end subroutine add_slha_block_entry @ %def add_slha_block_entry @ The lookup routine returns a pointer to the appropriate [[par_data]] record, if [[block_name]] and [[block_index]] are valid. The latter point to the [[slha_block_t]] register within the [[model_t]] object, if it is allocated. This should only be needed during I/O (i.e., while reading the SLHA file), so a simple linear search for each parameter should not be a performance problem. <<Models: model: TBP>>= procedure :: slha_lookup => model_slha_lookup <<Models: procedures>>= subroutine model_slha_lookup (model, block_name, block_index, par_data) class(model_t), intent(in) :: model type(string_t), intent(in) :: block_name integer, dimension(:), intent(in) :: block_index class(modelpar_data_t), pointer, intent(out) :: par_data integer :: i, j par_data => null () if (allocated (model%slha_block)) then do i = 1, model%n_slha_block associate (block => model%slha_block(i)) if (block%name == block_name) then do j = 1, block%n_entry associate (entry => block%entry(j)) if (size (entry%block_index) == size (block_index)) then if (all (entry%block_index == block_index)) then par_data => model%par(entry%i_par)%data return end if end if end associate end do end if end associate end do end if end subroutine model_slha_lookup @ %def model_slha_lookup @ Modify the value of a parameter, identified by block name and index array. <<Models: model: TBP>>= procedure :: slha_set_par => model_slha_set_par <<Models: procedures>>= subroutine model_slha_set_par (model, block_name, block_index, value) class(model_t), intent(inout) :: model type(string_t), intent(in) :: block_name integer, dimension(:), intent(in) :: block_index real(default), intent(in) :: value class(modelpar_data_t), pointer :: par_data call model%slha_lookup (block_name, block_index, par_data) if (associated (par_data)) then par_data = value end if end subroutine model_slha_set_par @ %def model_slha_set_par @ \subsection{Reading models from file} This procedure defines the model-file syntax for the parser, returning an internal file (ifile). Note that arithmetic operators are defined as keywords in the expression syntax, so we exclude them here. <<Models: procedures>>= subroutine define_model_file_syntax (ifile) type(ifile_t), intent(inout) :: ifile call ifile_append (ifile, "SEQ model_def = model_name_def " // & "scheme_header parameters external_pars particles vertices") call ifile_append (ifile, "SEQ model_name_def = model model_name") call ifile_append (ifile, "KEY model") call ifile_append (ifile, "QUO model_name = '""'...'""'") call ifile_append (ifile, "SEQ scheme_header = scheme_decl?") call ifile_append (ifile, "SEQ scheme_decl = schemes '=' scheme_list") call ifile_append (ifile, "KEY schemes") call ifile_append (ifile, "LIS scheme_list = scheme_name+") call ifile_append (ifile, "QUO scheme_name = '""'...'""'") call ifile_append (ifile, "SEQ parameters = generic_par_def*") call ifile_append (ifile, "ALT generic_par_def = & ¶meter_def | derived_def | unused_def | scheme_block") call ifile_append (ifile, "SEQ parameter_def = parameter par_name " // & "'=' any_real_value slha_annotation?") call ifile_append (ifile, "ALT any_real_value = " & // "neg_real_value | pos_real_value | real_value") call ifile_append (ifile, "SEQ neg_real_value = '-' real_value") call ifile_append (ifile, "SEQ pos_real_value = '+' real_value") call ifile_append (ifile, "KEY parameter") call ifile_append (ifile, "IDE par_name") ! call ifile_append (ifile, "KEY '='") !!! Key already exists call ifile_append (ifile, "SEQ slha_annotation = " // & "slha_entry slha_block_name slha_entry_index*") call ifile_append (ifile, "KEY slha_entry") call ifile_append (ifile, "IDE slha_block_name") call ifile_append (ifile, "INT slha_entry_index") call ifile_append (ifile, "SEQ derived_def = derived par_name " // & "'=' expr") call ifile_append (ifile, "KEY derived") call ifile_append (ifile, "SEQ unused_def = unused par_name") call ifile_append (ifile, "KEY unused") call ifile_append (ifile, "SEQ external_pars = external_def*") call ifile_append (ifile, "SEQ external_def = external par_name") call ifile_append (ifile, "KEY external") call ifile_append (ifile, "SEQ scheme_block = & &scheme_block_beg scheme_block_body scheme_block_end") call ifile_append (ifile, "SEQ scheme_block_beg = select scheme") call ifile_append (ifile, "SEQ scheme_block_body = scheme_block_case*") call ifile_append (ifile, "SEQ scheme_block_case = & &scheme scheme_id parameters") call ifile_append (ifile, "ALT scheme_id = scheme_list | other") call ifile_append (ifile, "SEQ scheme_block_end = end select") call ifile_append (ifile, "KEY select") call ifile_append (ifile, "KEY scheme") call ifile_append (ifile, "KEY other") call ifile_append (ifile, "KEY end") call ifile_append (ifile, "SEQ particles = particle_def*") call ifile_append (ifile, "SEQ particle_def = particle name_def " // & "prt_pdg prt_details") call ifile_append (ifile, "KEY particle") call ifile_append (ifile, "SEQ prt_pdg = signed_int") call ifile_append (ifile, "ALT prt_details = prt_src | prt_properties") call ifile_append (ifile, "SEQ prt_src = like name_def prt_properties") call ifile_append (ifile, "KEY like") call ifile_append (ifile, "SEQ prt_properties = prt_property*") call ifile_append (ifile, "ALT prt_property = " // & "parton | invisible | gauge | left | right | " // & "prt_name | prt_anti | prt_tex_name | prt_tex_anti | " // & "prt_spin | prt_isospin | prt_charge | " // & "prt_color | prt_mass | prt_width") call ifile_append (ifile, "KEY parton") call ifile_append (ifile, "KEY invisible") call ifile_append (ifile, "KEY gauge") call ifile_append (ifile, "KEY left") call ifile_append (ifile, "KEY right") call ifile_append (ifile, "SEQ prt_name = name name_def+") call ifile_append (ifile, "SEQ prt_anti = anti name_def+") call ifile_append (ifile, "SEQ prt_tex_name = tex_name name_def") call ifile_append (ifile, "SEQ prt_tex_anti = tex_anti name_def") call ifile_append (ifile, "KEY name") call ifile_append (ifile, "KEY anti") call ifile_append (ifile, "KEY tex_name") call ifile_append (ifile, "KEY tex_anti") call ifile_append (ifile, "ALT name_def = name_string | name_id") call ifile_append (ifile, "QUO name_string = '""'...'""'") call ifile_append (ifile, "IDE name_id") call ifile_append (ifile, "SEQ prt_spin = spin frac") call ifile_append (ifile, "KEY spin") call ifile_append (ifile, "SEQ prt_isospin = isospin frac") call ifile_append (ifile, "KEY isospin") call ifile_append (ifile, "SEQ prt_charge = charge frac") call ifile_append (ifile, "KEY charge") call ifile_append (ifile, "SEQ prt_color = color integer_literal") call ifile_append (ifile, "KEY color") call ifile_append (ifile, "SEQ prt_mass = mass par_name") call ifile_append (ifile, "KEY mass") call ifile_append (ifile, "SEQ prt_width = width par_name") call ifile_append (ifile, "KEY width") call ifile_append (ifile, "SEQ vertices = vertex_def*") call ifile_append (ifile, "SEQ vertex_def = vertex name_def+") call ifile_append (ifile, "KEY vertex") call define_expr_syntax (ifile, particles=.false., analysis=.false.) end subroutine define_model_file_syntax @ %def define_model_file_syntax @ The model-file syntax and lexer are fixed, therefore stored as module variables: <<Models: variables>>= type(syntax_t), target, save :: syntax_model_file @ %def syntax_model_file <<Models: public>>= public :: syntax_model_file_init <<Models: procedures>>= subroutine syntax_model_file_init () type(ifile_t) :: ifile call define_model_file_syntax (ifile) call syntax_init (syntax_model_file, ifile) call ifile_final (ifile) end subroutine syntax_model_file_init @ %def syntax_model_file_init <<Models: procedures>>= subroutine lexer_init_model_file (lexer) type(lexer_t), intent(out) :: lexer call lexer_init (lexer, & comment_chars = "#!", & quote_chars = '"{', & quote_match = '"}', & single_chars = ":(),", & special_class = [ "+-*/^", "<>= " ] , & keyword_list = syntax_get_keyword_list_ptr (syntax_model_file)) end subroutine lexer_init_model_file @ %def lexer_init_model_file <<Models: public>>= public :: syntax_model_file_final <<Models: procedures>>= subroutine syntax_model_file_final () call syntax_final (syntax_model_file) end subroutine syntax_model_file_final @ %def syntax_model_file_final <<Models: public>>= public :: syntax_model_file_write <<Models: procedures>>= subroutine syntax_model_file_write (unit) integer, intent(in), optional :: unit call syntax_write (syntax_model_file, unit) end subroutine syntax_model_file_write @ %def syntax_model_file_write @ Read a model from file. Handle all syntax and respect the provided scheme. The [[ufo]] flag just says that the model object should be tagged as being derived from an UFO model. The UFO model path may be requested by the caller. If not, we use a standard path search for UFO models. There is no difference in the contents of the file or the generated model object. <<Models: model: TBP>>= procedure :: read => model_read <<Models: procedures>>= subroutine model_read (model, filename, os_data, exist, & scheme, ufo, ufo_path_requested, rebuild_mdl) class(model_t), intent(out), target :: model type(string_t), intent(in) :: filename type(os_data_t), intent(in) :: os_data logical, intent(out), optional :: exist type(string_t), intent(in), optional :: scheme logical, intent(in), optional :: ufo type(string_t), intent(in), optional :: ufo_path_requested logical, intent(in), optional :: rebuild_mdl type(string_t) :: file type(stream_t), target :: stream type(lexer_t) :: lexer integer :: unit character(32) :: model_md5sum type(parse_node_t), pointer :: nd_model_def, nd_model_name_def type(parse_node_t), pointer :: nd_schemes, nd_scheme_decl type(parse_node_t), pointer :: nd_parameters type(parse_node_t), pointer :: nd_external_pars type(parse_node_t), pointer :: nd_particles, nd_vertices type(string_t) :: model_name, lib_name integer :: n_parblock, n_par, i_par, n_ext, n_prt, n_vtx type(parse_node_t), pointer :: nd_par_def type(parse_node_t), pointer :: nd_ext_def type(parse_node_t), pointer :: nd_prt type(parse_node_t), pointer :: nd_vtx logical :: ufo_model, model_exist, rebuild ufo_model = .false.; if (present (ufo)) ufo_model = ufo rebuild = .true.; if (present (rebuild_mdl)) rebuild = rebuild_mdl file = filename inquire (file=char(file), exist=model_exist) if ((.not. model_exist) .and. (.not. os_data%use_testfiles)) then file = os_data%whizard_modelpath_local // "/" // filename inquire (file = char (file), exist = model_exist) end if if (.not. model_exist) then file = os_data%whizard_modelpath // "/" // filename inquire (file = char (file), exist = model_exist) end if if (ufo_model .and. rebuild) then file = filename call model_generate_ufo (filename, os_data, model%ufo_path, & ufo_path_requested=ufo_path_requested) inquire (file = char (file), exist = model_exist) end if if (.not. model_exist) then call msg_fatal ("Model file '" // char (filename) // "' not found") if (present (exist)) exist = .false. return end if if (present (exist)) exist = .true. if (logging) call msg_message ("Reading model file '" // char (file) // "'") unit = free_unit () open (file=char(file), unit=unit, action="read", status="old") model_md5sum = md5sum (unit) close (unit) call lexer_init_model_file (lexer) call stream_init (stream, char (file)) call lexer_assign_stream (lexer, stream) call parse_tree_init (model%parse_tree, syntax_model_file, lexer) call stream_final (stream) call lexer_final (lexer) nd_model_def => model%parse_tree%get_root_ptr () nd_model_name_def => parse_node_get_sub_ptr (nd_model_def) model_name = parse_node_get_string & (parse_node_get_sub_ptr (nd_model_name_def, 2)) nd_schemes => nd_model_name_def%get_next_ptr () call find_block & ("scheme_header", nd_schemes, nd_scheme_decl, nd_next=nd_parameters) call find_block & ("parameters", nd_parameters, nd_par_def, n_parblock, nd_external_pars) call find_block & ("external_pars", nd_external_pars, nd_ext_def, n_ext, nd_particles) call find_block & ("particles", nd_particles, nd_prt, n_prt, nd_vertices) call find_block & ("vertices", nd_vertices, nd_vtx, n_vtx) if (associated (nd_external_pars)) then lib_name = "external." // model_name else lib_name = "" end if if (associated (nd_scheme_decl)) then call handle_schemes (nd_scheme_decl, scheme) end if n_par = 0 call count_parameters (nd_par_def, n_parblock, n_par) call model%init & (model_name, lib_name, os_data, n_par + n_ext, n_prt, n_vtx, ufo) model%md5sum = model_md5sum if (associated (nd_par_def)) then i_par = 0 call handle_parameters (nd_par_def, n_parblock, i_par) end if if (associated (nd_ext_def)) then call handle_external (nd_ext_def, n_par, n_ext) end if call model%update_parameters () if (associated (nd_prt)) then call handle_fields (nd_prt, n_prt) end if if (associated (nd_vtx)) then call handle_vertices (nd_vtx, n_vtx) end if call model%freeze_vertices () call model%append_field_vars () contains subroutine find_block (key, nd, nd_item, n_item, nd_next) character(*), intent(in) :: key type(parse_node_t), pointer, intent(inout) :: nd type(parse_node_t), pointer, intent(out) :: nd_item integer, intent(out), optional :: n_item type(parse_node_t), pointer, intent(out), optional :: nd_next if (associated (nd)) then if (nd%get_rule_key () == key) then nd_item => nd%get_sub_ptr () if (present (n_item)) n_item = nd%get_n_sub () if (present (nd_next)) nd_next => nd%get_next_ptr () else nd_item => null () if (present (n_item)) n_item = 0 if (present (nd_next)) nd_next => nd nd => null () end if else nd_item => null () if (present (n_item)) n_item = 0 if (present (nd_next)) nd_next => null () end if end subroutine find_block subroutine handle_schemes (nd_scheme_decl, scheme) type(parse_node_t), pointer, intent(in) :: nd_scheme_decl type(string_t), intent(in), optional :: scheme type(parse_node_t), pointer :: nd_list, nd_entry type(string_t), dimension(:), allocatable :: schemes integer :: i, n_schemes nd_list => nd_scheme_decl%get_sub_ptr (3) nd_entry => nd_list%get_sub_ptr () n_schemes = nd_list%get_n_sub () allocate (schemes (n_schemes)) do i = 1, n_schemes schemes(i) = nd_entry%get_string () nd_entry => nd_entry%get_next_ptr () end do if (present (scheme)) then do i = 1, n_schemes if (schemes(i) == scheme) goto 10 ! block exit end do call msg_fatal ("Scheme '" // char (scheme) & // "' is not supported by model '" // char (model_name) // "'") end if 10 continue call model%enable_schemes (schemes) call model%set_scheme (scheme) end subroutine handle_schemes subroutine select_scheme (nd_scheme_block, n_parblock_sub, nd_par_def) type(parse_node_t), pointer, intent(in) :: nd_scheme_block integer, intent(out) :: n_parblock_sub type(parse_node_t), pointer, intent(out) :: nd_par_def type(parse_node_t), pointer :: nd_scheme_body type(parse_node_t), pointer :: nd_scheme_case, nd_scheme_id, nd_scheme type(string_t) :: scheme integer :: n_cases, i scheme = model%get_scheme () nd_scheme_body => nd_scheme_block%get_sub_ptr (2) nd_parameters => null () select case (char (nd_scheme_body%get_rule_key ())) case ("scheme_block_body") n_cases = nd_scheme_body%get_n_sub () FIND_SCHEME: do i = 1, n_cases nd_scheme_case => nd_scheme_body%get_sub_ptr (i) nd_scheme_id => nd_scheme_case%get_sub_ptr (2) select case (char (nd_scheme_id%get_rule_key ())) case ("scheme_list") nd_scheme => nd_scheme_id%get_sub_ptr () do while (associated (nd_scheme)) if (scheme == nd_scheme%get_string ()) then nd_parameters => nd_scheme_id%get_next_ptr () exit FIND_SCHEME end if nd_scheme => nd_scheme%get_next_ptr () end do case ("other") nd_parameters => nd_scheme_id%get_next_ptr () exit FIND_SCHEME case default print *, "'", char (nd_scheme_id%get_rule_key ()), "'" call msg_bug ("Model read: impossible scheme rule") end select end do FIND_SCHEME end select if (associated (nd_parameters)) then select case (char (nd_parameters%get_rule_key ())) case ("parameters") n_parblock_sub = nd_parameters%get_n_sub () if (n_parblock_sub > 0) then nd_par_def => nd_parameters%get_sub_ptr () else nd_par_def => null () end if case default n_parblock_sub = 0 nd_par_def => null () end select else n_parblock_sub = 0 nd_par_def => null () end if end subroutine select_scheme recursive subroutine count_parameters (nd_par_def_in, n_parblock, n_par) type(parse_node_t), pointer, intent(in) :: nd_par_def_in integer, intent(in) :: n_parblock integer, intent(inout) :: n_par type(parse_node_t), pointer :: nd_par_def, nd_par_key type(parse_node_t), pointer :: nd_par_def_sub integer :: n_parblock_sub integer :: i nd_par_def => nd_par_def_in do i = 1, n_parblock nd_par_key => nd_par_def%get_sub_ptr () select case (char (nd_par_key%get_rule_key ())) case ("parameter", "derived", "unused") n_par = n_par + 1 case ("scheme_block_beg") call select_scheme (nd_par_def, n_parblock_sub, nd_par_def_sub) if (n_parblock_sub > 0) then call count_parameters (nd_par_def_sub, n_parblock_sub, n_par) end if case default print *, "'", char (nd_par_key%get_rule_key ()), "'" call msg_bug ("Model read: impossible parameter rule") end select nd_par_def => parse_node_get_next_ptr (nd_par_def) end do end subroutine count_parameters recursive subroutine handle_parameters (nd_par_def_in, n_parblock, i_par) type(parse_node_t), pointer, intent(in) :: nd_par_def_in integer, intent(in) :: n_parblock integer, intent(inout) :: i_par type(parse_node_t), pointer :: nd_par_def, nd_par_key type(parse_node_t), pointer :: nd_par_def_sub integer :: n_parblock_sub integer :: i nd_par_def => nd_par_def_in do i = 1, n_parblock nd_par_key => nd_par_def%get_sub_ptr () select case (char (nd_par_key%get_rule_key ())) case ("parameter") i_par = i_par + 1 call model%read_parameter (i_par, nd_par_def) case ("derived") i_par = i_par + 1 call model%read_derived (i_par, nd_par_def) case ("unused") i_par = i_par + 1 call model%read_unused (i_par, nd_par_def) case ("scheme_block_beg") call select_scheme (nd_par_def, n_parblock_sub, nd_par_def_sub) if (n_parblock_sub > 0) then call handle_parameters (nd_par_def_sub, n_parblock_sub, i_par) end if end select nd_par_def => parse_node_get_next_ptr (nd_par_def) end do end subroutine handle_parameters subroutine handle_external (nd_ext_def, n_par, n_ext) type(parse_node_t), pointer, intent(inout) :: nd_ext_def integer, intent(in) :: n_par, n_ext integer :: i do i = n_par + 1, n_par + n_ext call model%read_external (i, nd_ext_def) nd_ext_def => parse_node_get_next_ptr (nd_ext_def) end do ! real(c_default_float), dimension(:), allocatable :: par ! if (associated (model%init_external_parameters)) then ! allocate (par (model%get_n_real ())) ! call model%real_parameters_to_c_array (par) ! call model%init_external_parameters (par) ! call model%real_parameters_from_c_array (par) ! end if end subroutine handle_external subroutine handle_fields (nd_prt, n_prt) type(parse_node_t), pointer, intent(inout) :: nd_prt integer, intent(in) :: n_prt integer :: i do i = 1, n_prt call model%read_field (i, nd_prt) nd_prt => parse_node_get_next_ptr (nd_prt) end do end subroutine handle_fields subroutine handle_vertices (nd_vtx, n_vtx) type(parse_node_t), pointer, intent(inout) :: nd_vtx integer, intent(in) :: n_vtx integer :: i do i = 1, n_vtx call model%read_vertex (i, nd_vtx) nd_vtx => parse_node_get_next_ptr (nd_vtx) end do end subroutine handle_vertices end subroutine model_read @ %def model_read @ Parameters are real values (literal) with an optional unit. <<Models: model: TBP>>= procedure, private :: read_parameter => model_read_parameter <<Models: procedures>>= subroutine model_read_parameter (model, i, node) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(parse_node_t), intent(in), target :: node type(parse_node_t), pointer :: node_name, node_val, node_slha_entry type(string_t) :: name node_name => parse_node_get_sub_ptr (node, 2) name = parse_node_get_string (node_name) node_val => parse_node_get_next_ptr (node_name, 2) call model%set_parameter_parse_node (i, name, node_val, constant=.true.) node_slha_entry => parse_node_get_next_ptr (node_val) if (associated (node_slha_entry)) then call model_record_slha_block_entry (model, i, node_slha_entry) end if end subroutine model_read_parameter @ %def model_read_parameter @ Derived parameters have any numeric expression as their definition. Don't evaluate the expression, yet. <<Models: model: TBP>>= procedure, private :: read_derived => model_read_derived <<Models: procedures>>= subroutine model_read_derived (model, i, node) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(parse_node_t), intent(in), target :: node type(string_t) :: name type(parse_node_t), pointer :: pn_expr name = parse_node_get_string (parse_node_get_sub_ptr (node, 2)) pn_expr => parse_node_get_sub_ptr (node, 4) call model%set_parameter_parse_node (i, name, pn_expr, constant=.false.) end subroutine model_read_derived @ %def model_read_derived @ External parameters have no definition; they are handled by an external library. <<Models: model: TBP>>= procedure, private :: read_external => model_read_external <<Models: procedures>>= subroutine model_read_external (model, i, node) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(parse_node_t), intent(in), target :: node type(string_t) :: name name = parse_node_get_string (parse_node_get_sub_ptr (node, 2)) call model%set_parameter_external (i, name) end subroutine model_read_external @ %def model_read_external @ Ditto for unused parameters, they are there just for reserving the name. <<Models: model: TBP>>= procedure, private :: read_unused => model_read_unused <<Models: procedures>>= subroutine model_read_unused (model, i, node) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(parse_node_t), intent(in), target :: node type(string_t) :: name name = parse_node_get_string (parse_node_get_sub_ptr (node, 2)) call model%set_parameter_unused (i, name) end subroutine model_read_unused @ %def model_read_unused <<Models: model: TBP>>= procedure, private :: read_field => model_read_field <<Models: procedures>>= subroutine model_read_field (model, i, node) class(model_t), intent(inout), target :: model integer, intent(in) :: i type(parse_node_t), intent(in) :: node type(parse_node_t), pointer :: nd_src, nd_props, nd_prop type(string_t) :: longname integer :: pdg type(string_t) :: name_src type(string_t), dimension(:), allocatable :: name type(field_data_t), pointer :: field, field_src longname = parse_node_get_string (parse_node_get_sub_ptr (node, 2)) pdg = read_frac (parse_node_get_sub_ptr (node, 3)) field => model%get_field_ptr_by_index (i) call field%init (longname, pdg) nd_src => parse_node_get_sub_ptr (node, 4) if (associated (nd_src)) then if (parse_node_get_rule_key (nd_src) == "prt_src") then name_src = parse_node_get_string (parse_node_get_sub_ptr (nd_src, 2)) field_src => model%get_field_ptr (name_src, check=.true.) call field%copy_from (field_src) nd_props => parse_node_get_sub_ptr (nd_src, 3) else nd_props => nd_src end if nd_prop => parse_node_get_sub_ptr (nd_props) do while (associated (nd_prop)) select case (char (parse_node_get_rule_key (nd_prop))) case ("invisible") call field%set (is_visible=.false.) case ("parton") call field%set (is_parton=.true.) case ("gauge") call field%set (is_gauge=.true.) case ("left") call field%set (is_left_handed=.true.) case ("right") call field%set (is_right_handed=.true.) case ("prt_name") call read_names (nd_prop, name) call field%set (name=name) case ("prt_anti") call read_names (nd_prop, name) call field%set (anti=name) case ("prt_tex_name") call field%set ( & tex_name = parse_node_get_string & (parse_node_get_sub_ptr (nd_prop, 2))) case ("prt_tex_anti") call field%set ( & tex_anti = parse_node_get_string & (parse_node_get_sub_ptr (nd_prop, 2))) case ("prt_spin") call field%set ( & spin_type = read_frac & (parse_node_get_sub_ptr (nd_prop, 2), 2)) case ("prt_isospin") call field%set ( & isospin_type = read_frac & (parse_node_get_sub_ptr (nd_prop, 2), 2)) case ("prt_charge") call field%set ( & charge_type = read_frac & (parse_node_get_sub_ptr (nd_prop, 2), 3)) case ("prt_color") call field%set ( & color_type = parse_node_get_integer & (parse_node_get_sub_ptr (nd_prop, 2))) case ("prt_mass") call field%set ( & mass_data = model%get_par_data_ptr & (parse_node_get_string & (parse_node_get_sub_ptr (nd_prop, 2)))) case ("prt_width") call field%set ( & width_data = model%get_par_data_ptr & (parse_node_get_string & (parse_node_get_sub_ptr (nd_prop, 2)))) case default call msg_bug (" Unknown particle property '" & // char (parse_node_get_rule_key (nd_prop)) // "'") end select if (allocated (name)) deallocate (name) nd_prop => parse_node_get_next_ptr (nd_prop) end do end if call field%freeze () end subroutine model_read_field @ %def model_read_field <<Models: model: TBP>>= procedure, private :: read_vertex => model_read_vertex <<Models: procedures>>= subroutine model_read_vertex (model, i, node) class(model_t), intent(inout) :: model integer, intent(in) :: i type(parse_node_t), intent(in) :: node type(string_t), dimension(:), allocatable :: name call read_names (node, name) call model%set_vertex (i, name) end subroutine model_read_vertex @ %def model_read_vertex <<Models: procedures>>= subroutine read_names (node, name) type(parse_node_t), intent(in) :: node type(string_t), dimension(:), allocatable, intent(inout) :: name type(parse_node_t), pointer :: nd_name integer :: n_names, i n_names = parse_node_get_n_sub (node) - 1 allocate (name (n_names)) nd_name => parse_node_get_sub_ptr (node, 2) do i = 1, n_names name(i) = parse_node_get_string (nd_name) nd_name => parse_node_get_next_ptr (nd_name) end do end subroutine read_names @ %def read_names @ There is an optional argument for the base. <<Models: procedures>>= function read_frac (nd_frac, base) result (qn_type) integer :: qn_type type(parse_node_t), intent(in) :: nd_frac integer, intent(in), optional :: base type(parse_node_t), pointer :: nd_num, nd_den integer :: num, den nd_num => parse_node_get_sub_ptr (nd_frac) nd_den => parse_node_get_next_ptr (nd_num) select case (char (parse_node_get_rule_key (nd_num))) case ("integer_literal") num = parse_node_get_integer (nd_num) case ("neg_int") num = - parse_node_get_integer (parse_node_get_sub_ptr (nd_num, 2)) case ("pos_int") num = parse_node_get_integer (parse_node_get_sub_ptr (nd_num, 2)) case default call parse_tree_bug (nd_num, "int|neg_int|pos_int") end select if (associated (nd_den)) then den = parse_node_get_integer (parse_node_get_sub_ptr (nd_den, 2)) else den = 1 end if if (present (base)) then if (den == 1) then qn_type = sign (1 + abs (num) * base, num) else if (den == base) then qn_type = sign (abs (num) + 1, num) else call parse_node_write_rec (nd_frac) call msg_fatal (" Fractional quantum number: wrong denominator") end if else if (den == 1) then qn_type = num else call parse_node_write_rec (nd_frac) call msg_fatal (" Wrong type: no fraction expected") end if end if end function read_frac @ %def read_frac @ Append field (PDG-array) variables to the variable list, based on the field content. <<Models: model: TBP>>= procedure, private :: append_field_vars => model_append_field_vars <<Models: procedures>>= subroutine model_append_field_vars (model) class(model_t), intent(inout) :: model type(pdg_array_t) :: aval type(field_data_t), dimension(:), pointer :: field_array type(field_data_t), pointer :: field type(string_t) :: name type(string_t), dimension(:), allocatable :: name_array integer, dimension(:), allocatable :: pdg logical, dimension(:), allocatable :: mask integer :: i, j field_array => model%get_field_array_ptr () aval = UNDEFINED call var_list_append_pdg_array & (model%var_list, var_str ("particle"), & aval, locked = .true., intrinsic=.true.) do i = 1, size (field_array) aval = field_array(i)%get_pdg () name = field_array(i)%get_longname () call var_list_append_pdg_array & (model%var_list, name, aval, locked=.true., intrinsic=.true.) call field_array(i)%get_name_array (.false., name_array) do j = 1, size (name_array) call var_list_append_pdg_array & (model%var_list, name_array(j), & aval, locked=.true., intrinsic=.true.) end do model%max_field_name_length = & max (model%max_field_name_length, len (name_array(1))) aval = - field_array(i)%get_pdg () call field_array(i)%get_name_array (.true., name_array) do j = 1, size (name_array) call var_list_append_pdg_array & (model%var_list, name_array(j), & aval, locked=.true., intrinsic=.true.) end do if (size (name_array) > 0) then model%max_field_name_length = & max (model%max_field_name_length, len (name_array(1))) end if end do call model%get_all_pdg (pdg) allocate (mask (size (pdg))) do i = 1, size (pdg) field => model%get_field_ptr (pdg(i)) mask(i) = field%get_charge_type () /= 1 end do aval = pack (pdg, mask) call var_list_append_pdg_array & (model%var_list, var_str ("charged"), & aval, locked = .true., intrinsic=.true.) do i = 1, size (pdg) field => model%get_field_ptr (pdg(i)) mask(i) = field%get_charge_type () == 1 end do aval = pack (pdg, mask) call var_list_append_pdg_array & (model%var_list, var_str ("neutral"), & aval, locked = .true., intrinsic=.true.) do i = 1, size (pdg) field => model%get_field_ptr (pdg(i)) mask(i) = field%get_color_type () /= 1 end do aval = pack (pdg, mask) call var_list_append_pdg_array & (model%var_list, var_str ("colored"), & aval, locked = .true., intrinsic=.true.) end subroutine model_append_field_vars @ %def model_append_field_vars @ \subsection{Test models} <<Models: public>>= public :: create_test_model <<Models: procedures>>= subroutine create_test_model (model_name, test_model) type(string_t), intent(in) :: model_name type(model_t), intent(out), pointer :: test_model type(os_data_t) :: os_data type(model_list_t) :: model_list call syntax_model_file_init () call os_data%init () call model_list%read_model & (model_name, model_name // var_str (".mdl"), os_data, test_model) end subroutine create_test_model @ %def create_test_model @ \subsection{Model list} List of currently active models <<Models: types>>= type, extends (model_t) :: model_entry_t type(model_entry_t), pointer :: next => null () end type model_entry_t @ %def model_entry_t <<Models: public>>= public :: model_list_t <<Models: types>>= type :: model_list_t type(model_entry_t), pointer :: first => null () type(model_entry_t), pointer :: last => null () type(model_list_t), pointer :: context => null () contains <<Models: model list: TBP>> end type model_list_t @ %def model_list_t @ Write an account of the model list. We write linked lists first, starting from the global context. <<Models: model list: TBP>>= procedure :: write => model_list_write <<Models: procedures>>= recursive subroutine model_list_write (object, unit, verbose, follow_link) class(model_list_t), intent(in) :: object integer, intent(in), optional :: unit logical, intent(in), optional :: verbose logical, intent(in), optional :: follow_link type(model_entry_t), pointer :: current logical :: rec integer :: u u = given_output_unit (unit); if (u < 0) return rec = .true.; if (present (follow_link)) rec = follow_link if (rec .and. associated (object%context)) then call object%context%write (unit, verbose, follow_link) end if current => object%first if (associated (current)) then do while (associated (current)) call current%write (unit, verbose) current => current%next if (associated (current)) write (u, *) end do end if end subroutine model_list_write @ %def model_list_write @ Link this list to another one. <<Models: model list: TBP>>= procedure :: link => model_list_link <<Models: procedures>>= subroutine model_list_link (model_list, context) class(model_list_t), intent(inout) :: model_list type(model_list_t), intent(in), target :: context model_list%context => context end subroutine model_list_link @ %def model_list_link @ (Private, used below:) Append an existing model, for which we have allocated a pointer entry, to the model list. The original pointer becomes disassociated, and the model should now be considered as part of the list. We assume that this model is not yet part of the list. If we provide a [[model]] argument, this returns a pointer to the new entry. <<Models: model list: TBP>>= procedure, private :: import => model_list_import <<Models: procedures>>= subroutine model_list_import (model_list, current, model) class(model_list_t), intent(inout) :: model_list type(model_entry_t), pointer, intent(inout) :: current type(model_t), optional, pointer, intent(out) :: model if (associated (current)) then if (associated (model_list%first)) then model_list%last%next => current else model_list%first => current end if model_list%last => current if (present (model)) model => current%model_t current => null () end if end subroutine model_list_import @ %def model_list_import @ Currently test only: Add a new model with given [[name]] to the list, if it does not yet exist. If successful, return a pointer to the new model. <<Models: model list: TBP>>= procedure :: add => model_list_add <<Models: procedures>>= subroutine model_list_add (model_list, & name, os_data, n_par, n_prt, n_vtx, model) class(model_list_t), intent(inout) :: model_list type(string_t), intent(in) :: name type(os_data_t), intent(in) :: os_data integer, intent(in) :: n_par, n_prt, n_vtx type(model_t), pointer :: model type(model_entry_t), pointer :: current if (model_list%model_exists (name, follow_link=.false.)) then model => null () else allocate (current) call current%init (name, var_str (""), os_data, & n_par, n_prt, n_vtx) call model_list%import (current, model) end if end subroutine model_list_add @ %def model_list_add @ Read a new model from file and add to the list, if it does not yet exist. Finalize the model by allocating the vertex table. Return a pointer to the new model. If unsuccessful, return the original pointer. The model is always inserted in the last link of a chain of model lists. This way, we avoid loading models twice from different contexts. When a model is modified, we should first allocate a local copy. <<Models: model list: TBP>>= procedure :: read_model => model_list_read_model <<Models: procedures>>= subroutine model_list_read_model & (model_list, name, filename, os_data, model, & scheme, ufo, ufo_path, rebuild_mdl) class(model_list_t), intent(inout), target :: model_list type(string_t), intent(in) :: name, filename type(os_data_t), intent(in) :: os_data type(model_t), pointer, intent(inout) :: model type(string_t), intent(in), optional :: scheme logical, intent(in), optional :: ufo type(string_t), intent(in), optional :: ufo_path logical, intent(in), optional :: rebuild_mdl class(model_list_t), pointer :: global_model_list type(model_entry_t), pointer :: current logical :: exist if (.not. model_list%model_exists (name, & scheme, ufo, ufo_path, follow_link=.true.)) then allocate (current) call current%read (filename, os_data, exist, & scheme=scheme, ufo=ufo, ufo_path_requested=ufo_path, & rebuild_mdl=rebuild_mdl) if (.not. exist) return if (current%get_name () /= name) then call msg_fatal ("Model file '" // char (filename) // & "' contains model '" // char (current%get_name ()) // & "' instead of '" // char (name) // "'") call current%final (); deallocate (current) return end if global_model_list => model_list do while (associated (global_model_list%context)) global_model_list => global_model_list%context end do call global_model_list%import (current, model) else model => model_list%get_model_ptr (name, scheme, ufo, ufo_path) end if end subroutine model_list_read_model @ %def model_list_read_model @ Append a copy of an existing model to a model list. Optionally, return pointer to the new entry. <<Models: model list: TBP>>= procedure :: append_copy => model_list_append_copy <<Models: procedures>>= subroutine model_list_append_copy (model_list, orig, model) class(model_list_t), intent(inout) :: model_list type(model_t), intent(in), target :: orig type(model_t), intent(out), pointer, optional :: model type(model_entry_t), pointer :: copy allocate (copy) call copy%init_instance (orig) call model_list%import (copy, model) end subroutine model_list_append_copy @ %def model_list_append_copy @ Check if a model exists by examining the list. Check recursively unless told otherwise. <<Models: model list: TBP>>= procedure :: model_exists => model_list_model_exists <<Models: procedures>>= recursive function model_list_model_exists & (model_list, name, scheme, ufo, ufo_path, follow_link) result (exists) class(model_list_t), intent(in) :: model_list logical :: exists type(string_t), intent(in) :: name type(string_t), intent(in), optional :: scheme logical, intent(in), optional :: ufo type(string_t), intent(in), optional :: ufo_path logical, intent(in), optional :: follow_link type(model_entry_t), pointer :: current logical :: rec rec = .true.; if (present (follow_link)) rec = follow_link current => model_list%first do while (associated (current)) if (current%matches (name, scheme, ufo, ufo_path)) then exists = .true. return end if current => current%next end do if (rec .and. associated (model_list%context)) then exists = model_list%context%model_exists (name, & scheme, ufo, ufo_path, follow_link) else exists = .false. end if end function model_list_model_exists @ %def model_list_model_exists @ Return a pointer to a named model. Search recursively unless told otherwise. <<Models: model list: TBP>>= procedure :: get_model_ptr => model_list_get_model_ptr <<Models: procedures>>= recursive function model_list_get_model_ptr & (model_list, name, scheme, ufo, ufo_path, follow_link) result (model) class(model_list_t), intent(in) :: model_list type(model_t), pointer :: model type(string_t), intent(in) :: name type(string_t), intent(in), optional :: scheme logical, intent(in), optional :: ufo type(string_t), intent(in), optional :: ufo_path logical, intent(in), optional :: follow_link type(model_entry_t), pointer :: current logical :: rec rec = .true.; if (present (follow_link)) rec = follow_link current => model_list%first do while (associated (current)) if (current%matches (name, scheme, ufo, ufo_path)) then model => current%model_t return end if current => current%next end do if (rec .and. associated (model_list%context)) then model => model_list%context%get_model_ptr (name, & scheme, ufo, ufo_path, follow_link) else model => null () end if end function model_list_get_model_ptr @ %def model_list_get_model_ptr @ Delete the list of models. No recursion. <<Models: model list: TBP>>= procedure :: final => model_list_final <<Models: procedures>>= subroutine model_list_final (model_list) class(model_list_t), intent(inout) :: model_list type(model_entry_t), pointer :: current model_list%last => null () do while (associated (model_list%first)) current => model_list%first model_list%first => model_list%first%next call current%final () deallocate (current) end do end subroutine model_list_final @ %def model_list_final @ \subsection{Model instances} A model instance is a copy of a model object. The parameters are true copies. The particle data and the variable list pointers should point to the copy, so modifying the parameters has only a local effect. Hence, we build them up explicitly. The vertex array is also rebuilt, it contains particle pointers. Finally, the vertex hash table can be copied directly since it contains no pointers. The [[multiplicity]] entry depends on the association of the [[mass_data]] entry and therefore has to be set at the end. The instance must carry the [[target]] attribute. Parameters: the [[copy_parameter]] method essentially copies the parameter decorations (parse node, expression etc.). The current parameter values are part of the [[model_data_t]] base type and are copied afterwards via its [[copy_from]] method. Note: the parameter set is initialized for real parameters only. In order for the local model to be able to use the correct UFO model setup, UFO model information has to be transferred. <<Models: model: TBP>>= procedure :: init_instance => model_copy <<Models: procedures>>= subroutine model_copy (model, orig) class(model_t), intent(out), target :: model type(model_t), intent(in) :: orig integer :: n_par, n_prt, n_vtx integer :: i n_par = orig%get_n_real () n_prt = orig%get_n_field () n_vtx = orig%get_n_vtx () call model%basic_init (orig%get_name (), n_par, n_prt, n_vtx) if (allocated (orig%schemes)) then model%schemes = orig%schemes if (allocated (orig%selected_scheme)) then model%selected_scheme = orig%selected_scheme call model%set_scheme_num (orig%get_scheme_num ()) end if end if if (allocated (orig%slha_block)) then model%slha_block = orig%slha_block end if model%md5sum = orig%md5sum model%ufo_model = orig%ufo_model model%ufo_path = orig%ufo_path if (allocated (orig%par)) then do i = 1, n_par call model%copy_parameter (i, orig%par(i)) end do end if model%init_external_parameters => orig%init_external_parameters call model%model_data_t%copy_from (orig) model%max_par_name_length = orig%max_par_name_length call model%append_field_vars () end subroutine model_copy @ %def model_copy @ \subsection{Unit tests} Test module, followed by the corresponding implementation module. <<[[models_ut.f90]]>>= <<File header>> module models_ut use unit_tests use models_uti <<Standard module head>> <<Models: public test>> contains <<Models: test driver>> end module models_ut @ %def models_ut @ <<[[models_uti.f90]]>>= <<File header>> module models_uti <<Use kinds>> <<Use strings>> use file_utils, only: delete_file use physics_defs, only: SCALAR, SPINOR use os_interface use model_data use variables use models <<Standard module head>> <<Models: test declarations>> contains <<Models: tests>> end module models_uti @ %def models_ut @ API: driver for the unit tests below. <<Models: public test>>= public :: models_test <<Models: test driver>>= subroutine models_test (u, results) integer, intent(in) :: u type(test_results_t), intent(inout) :: results <<Models: execute tests>> end subroutine models_test @ %def models_tests @ \subsubsection{Construct a Model} Here, we construct a toy model explicitly without referring to a file. <<Models: execute tests>>= call test (models_1, "models_1", & "construct model", & u, results) <<Models: test declarations>>= public :: models_1 <<Models: tests>>= subroutine models_1 (u) integer, intent(in) :: u type(os_data_t) :: os_data type(model_list_t) :: model_list type(model_t), pointer :: model type(string_t) :: model_name type(string_t) :: x_longname type(string_t), dimension(2) :: parname type(string_t), dimension(2) :: x_name type(string_t), dimension(1) :: x_anti type(string_t) :: x_tex_name, x_tex_anti type(string_t) :: y_longname type(string_t), dimension(2) :: y_name type(string_t) :: y_tex_name type(field_data_t), pointer :: field write (u, "(A)") "* Test output: models_1" write (u, "(A)") "* Purpose: create a model" write (u, *) model_name = "Test model" call model_list%add (model_name, os_data, 2, 2, 3, model) parname(1) = "mx" parname(2) = "coup" call model%set_parameter_constant (1, parname(1), 10._default) call model%set_parameter_constant (2, parname(2), 1.3_default) x_longname = "X_LEPTON" x_name(1) = "X" x_name(2) = "x" x_anti(1) = "Xbar" x_tex_name = "X^+" x_tex_anti = "X^-" field => model%get_field_ptr_by_index (1) call field%init (x_longname, 99) call field%set ( & .true., .false., .false., .false., .false., & name=x_name, anti=x_anti, tex_name=x_tex_name, tex_anti=x_tex_anti, & spin_type=SPINOR, isospin_type=-3, charge_type=2, & mass_data=model%get_par_data_ptr (parname(1))) y_longname = "Y_COLORON" y_name(1) = "Y" y_name(2) = "yc" y_tex_name = "Y^0" field => model%get_field_ptr_by_index (2) call field%init (y_longname, 97) call field%set ( & .false., .false., .true., .false., .false., & name=y_name, tex_name=y_tex_name, & spin_type=SCALAR, isospin_type=2, charge_type=1, color_type=8) call model%set_vertex (1, [99, 99, 99]) call model%set_vertex (2, [99, 99, 99, 99]) call model%set_vertex (3, [99, 97, 99]) call model_list%write (u) call model_list%final () write (u, *) write (u, "(A)") "* Test output end: models_1" end subroutine models_1 @ %def models_1 @ \subsubsection{Read a Model} Read a predefined model from file. <<Models: execute tests>>= call test (models_2, "models_2", & "read model", & u, results) <<Models: test declarations>>= public :: models_2 <<Models: tests>>= subroutine models_2 (u) integer, intent(in) :: u type(os_data_t) :: os_data type(model_list_t) :: model_list type(var_list_t), pointer :: var_list type(model_t), pointer :: model write (u, "(A)") "* Test output: models_2" write (u, "(A)") "* Purpose: read a model from file" write (u, *) call syntax_model_file_init () call os_data%init () call model_list%read_model (var_str ("Test"), var_str ("Test.mdl"), & os_data, model) call model_list%write (u) write (u, *) write (u, "(A)") "* Variable list" write (u, *) var_list => model%get_var_list_ptr () call var_list%write (u) write (u, *) write (u, "(A)") "* Cleanup" call model_list%final () call syntax_model_file_final () write (u, *) write (u, "(A)") "* Test output end: models_2" end subroutine models_2 @ %def models_2 @ \subsubsection{Model Instance} Read a predefined model from file and create an instance. <<Models: execute tests>>= call test (models_3, "models_3", & "model instance", & u, results) <<Models: test declarations>>= public :: models_3 <<Models: tests>>= subroutine models_3 (u) integer, intent(in) :: u type(os_data_t) :: os_data type(model_list_t) :: model_list type(model_t), pointer :: model type(var_list_t), pointer :: var_list type(model_t), pointer :: instance write (u, "(A)") "* Test output: models_3" write (u, "(A)") "* Purpose: create a model instance" write (u, *) call syntax_model_file_init () call os_data%init () call model_list%read_model (var_str ("Test"), var_str ("Test.mdl"), & os_data, model) allocate (instance) call instance%init_instance (model) call model%write (u) write (u, *) write (u, "(A)") "* Variable list" write (u, *) var_list => instance%get_var_list_ptr () call var_list%write (u) write (u, *) write (u, "(A)") "* Cleanup" call instance%final () deallocate (instance) call model_list%final () call syntax_model_file_final () write (u, *) write (u, "(A)") "* Test output end: models_3" end subroutine models_3 @ %def models_test @ \subsubsection{Unstable and Polarized Particles} Read a predefined model from file and define decays and polarization. <<Models: execute tests>>= call test (models_4, "models_4", & "handle decays and polarization", & u, results) <<Models: test declarations>>= public :: models_4 <<Models: tests>>= subroutine models_4 (u) integer, intent(in) :: u type(os_data_t) :: os_data type(model_list_t) :: model_list type(model_t), pointer :: model, model_instance character(32) :: md5sum write (u, "(A)") "* Test output: models_4" write (u, "(A)") "* Purpose: set and unset decays and polarization" write (u, *) call syntax_model_file_init () call os_data%init () write (u, "(A)") "* Read model from file" call model_list%read_model (var_str ("Test"), var_str ("Test.mdl"), & os_data, model) md5sum = model%get_parameters_md5sum () write (u, *) write (u, "(1x,3A)") "MD5 sum (parameters) = '", md5sum, "'" write (u, *) write (u, "(A)") "* Set particle decays and polarization" write (u, *) call model%set_unstable (25, [var_str ("dec1"), var_str ("dec2")]) call model%set_polarized (6) call model%set_unstable (-6, [var_str ("fdec")]) call model%write (u) md5sum = model%get_parameters_md5sum () write (u, *) write (u, "(1x,3A)") "MD5 sum (parameters) = '", md5sum, "'" write (u, *) write (u, "(A)") "* Create a model instance" allocate (model_instance) call model_instance%init_instance (model) write (u, *) write (u, "(A)") "* Revert particle decays and polarization" write (u, *) call model%set_stable (25) call model%set_unpolarized (6) call model%set_stable (-6) call model%write (u) md5sum = model%get_parameters_md5sum () write (u, *) write (u, "(1x,3A)") "MD5 sum (parameters) = '", md5sum, "'" write (u, *) write (u, "(A)") "* Show the model instance" write (u, *) call model_instance%write (u) md5sum = model_instance%get_parameters_md5sum () write (u, *) write (u, "(1x,3A)") "MD5 sum (parameters) = '", md5sum, "'" write (u, *) write (u, "(A)") "* Cleanup" call model_instance%final () deallocate (model_instance) call model_list%final () call syntax_model_file_final () write (u, *) write (u, "(A)") "* Test output end: models_4" end subroutine models_4 @ %def models_4 @ \subsubsection{Model Variables} Read a predefined model from file and modify some parameters. Note that the MD5 sum is not modified by this. <<Models: execute tests>>= call test (models_5, "models_5", & "handle parameters", & u, results) <<Models: test declarations>>= public :: models_5 <<Models: tests>>= subroutine models_5 (u) integer, intent(in) :: u type(os_data_t) :: os_data type(model_list_t) :: model_list type(model_t), pointer :: model, model_instance character(32) :: md5sum write (u, "(A)") "* Test output: models_5" write (u, "(A)") "* Purpose: access and modify model variables" write (u, *) call syntax_model_file_init () call os_data%init () write (u, "(A)") "* Read model from file" call model_list%read_model (var_str ("Test"), var_str ("Test.mdl"), & os_data, model) write (u, *) call model%write (u, & show_md5sum = .true., & show_variables = .true., & show_parameters = .true., & show_particles = .false., & show_vertices = .false.) write (u, *) write (u, "(A)") "* Check parameter status" write (u, *) write (u, "(1x,A,L1)") "xy exists = ", model%var_exists (var_str ("xx")) write (u, "(1x,A,L1)") "ff exists = ", model%var_exists (var_str ("ff")) write (u, "(1x,A,L1)") "mf exists = ", model%var_exists (var_str ("mf")) write (u, "(1x,A,L1)") "ff locked = ", model%var_is_locked (var_str ("ff")) write (u, "(1x,A,L1)") "mf locked = ", model%var_is_locked (var_str ("mf")) write (u, *) write (u, "(1x,A,F6.2)") "ff = ", model%get_rval (var_str ("ff")) write (u, "(1x,A,F6.2)") "mf = ", model%get_rval (var_str ("mf")) write (u, *) write (u, "(A)") "* Modify parameter" write (u, *) call model%set_real (var_str ("ff"), 1._default) call model%write (u, & show_md5sum = .true., & show_variables = .true., & show_parameters = .true., & show_particles = .false., & show_vertices = .false.) write (u, *) write (u, "(A)") "* Cleanup" call model_list%final () call syntax_model_file_final () write (u, *) write (u, "(A)") "* Test output end: models_5" end subroutine models_5 @ %def models_5 @ \subsubsection{Read model with disordered parameters} Read a model from file where the ordering of independent and derived parameters is non-canonical. <<Models: execute tests>>= call test (models_6, "models_6", & "read model parameters", & u, results) <<Models: test declarations>>= public :: models_6 <<Models: tests>>= subroutine models_6 (u) integer, intent(in) :: u integer :: um character(80) :: buffer type(os_data_t) :: os_data type(model_list_t) :: model_list type(var_list_t), pointer :: var_list type(model_t), pointer :: model write (u, "(A)") "* Test output: models_6" write (u, "(A)") "* Purpose: read a model from file & &with non-canonical parameter ordering" write (u, *) open (newunit=um, file="Test6.mdl", status="replace", action="readwrite") write (um, "(A)") 'model "Test6"' write (um, "(A)") ' parameter a = 1.000000000000E+00' write (um, "(A)") ' derived b = 2 * a' write (um, "(A)") ' parameter c = 3.000000000000E+00' write (um, "(A)") ' unused d' rewind (um) do read (um, "(A)", end=1) buffer write (u, "(A)") trim (buffer) end do 1 continue close (um) call syntax_model_file_init () call os_data%init () call model_list%read_model (var_str ("Test6"), var_str ("Test6.mdl"), & os_data, model) write (u, *) write (u, "(A)") "* Variable list" write (u, *) var_list => model%get_var_list_ptr () call var_list%write (u) write (u, *) write (u, "(A)") "* Cleanup" call model_list%final () call syntax_model_file_final () write (u, *) write (u, "(A)") "* Test output end: models_6" end subroutine models_6 @ %def models_6 @ \subsubsection{Read model with schemes} Read a model from file which supports scheme selection in the parameter list. <<Models: execute tests>>= call test (models_7, "models_7", & "handle schemes", & u, results) <<Models: test declarations>>= public :: models_7 <<Models: tests>>= subroutine models_7 (u) integer, intent(in) :: u integer :: um character(80) :: buffer type(os_data_t) :: os_data type(model_list_t) :: model_list type(var_list_t), pointer :: var_list type(model_t), pointer :: model write (u, "(A)") "* Test output: models_7" write (u, "(A)") "* Purpose: read a model from file & &with scheme selection" write (u, *) open (newunit=um, file="Test7.mdl", status="replace", action="readwrite") write (um, "(A)") 'model "Test7"' write (um, "(A)") ' schemes = "foo", "bar", "gee"' write (um, "(A)") '' write (um, "(A)") ' select scheme' write (um, "(A)") ' scheme "foo"' write (um, "(A)") ' parameter a = 1' write (um, "(A)") ' derived b = 2 * a' write (um, "(A)") ' scheme other' write (um, "(A)") ' parameter b = 4' write (um, "(A)") ' derived a = b / 2' write (um, "(A)") ' end select' write (um, "(A)") '' write (um, "(A)") ' parameter c = 3' write (um, "(A)") '' write (um, "(A)") ' select scheme' write (um, "(A)") ' scheme "foo", "gee"' write (um, "(A)") ' derived d = b + c' write (um, "(A)") ' scheme other' write (um, "(A)") ' unused d' write (um, "(A)") ' end select' rewind (um) do read (um, "(A)", end=1) buffer write (u, "(A)") trim (buffer) end do 1 continue close (um) call syntax_model_file_init () call os_data%init () write (u, *) write (u, "(A)") "* Model output, default scheme (= foo)" write (u, *) call model_list%read_model (var_str ("Test7"), var_str ("Test7.mdl"), & os_data, model) call model%write (u, show_md5sum=.false.) call show_var_list () call show_par_array () call model_list%final () write (u, *) write (u, "(A)") "* Model output, scheme foo" write (u, *) call model_list%read_model (var_str ("Test7"), var_str ("Test7.mdl"), & os_data, model, scheme = var_str ("foo")) call model%write (u, show_md5sum=.false.) call show_var_list () call show_par_array () call model_list%final () write (u, *) write (u, "(A)") "* Model output, scheme bar" write (u, *) call model_list%read_model (var_str ("Test7"), var_str ("Test7.mdl"), & os_data, model, scheme = var_str ("bar")) call model%write (u, show_md5sum=.false.) call show_var_list () call show_par_array () call model_list%final () write (u, *) write (u, "(A)") "* Model output, scheme gee" write (u, *) call model_list%read_model (var_str ("Test7"), var_str ("Test7.mdl"), & os_data, model, scheme = var_str ("gee")) call model%write (u, show_md5sum=.false.) call show_var_list () call show_par_array () write (u, *) write (u, "(A)") "* Cleanup" call model_list%final () call syntax_model_file_final () write (u, *) write (u, "(A)") "* Test output end: models_7" contains subroutine show_var_list () write (u, *) write (u, "(A)") "* Variable list" write (u, *) var_list => model%get_var_list_ptr () call var_list%write (u) end subroutine show_var_list subroutine show_par_array () real(default), dimension(:), allocatable :: par integer :: n write (u, *) write (u, "(A)") "* Parameter array" write (u, *) n = model%get_n_real () allocate (par (n)) call model%real_parameters_to_array (par) write (u, 1) par 1 format (1X,F6.3) end subroutine show_par_array end subroutine models_7 @ %def models_7 @ \subsubsection{Read and handle UFO model} Read a model from file which is considered as an UFO model. In fact, it is a mock model file which just follows our naming convention for UFO models. Compare this to an equivalent non-UFO model. <<Models: execute tests>>= call test (models_8, "models_8", & "handle UFO-derived models", & u, results) <<Models: test declarations>>= public :: models_8 <<Models: tests>>= subroutine models_8 (u) integer, intent(in) :: u integer :: um character(80) :: buffer type(os_data_t) :: os_data type(model_list_t) :: model_list type(string_t) :: model_name type(model_t), pointer :: model write (u, "(A)") "* Test output: models_8" write (u, "(A)") "* Purpose: distinguish models marked as UFO-derived" write (u, *) call os_data%init () call show_model_list_status () model_name = "models_8_M" write (u, *) write (u, "(A)") "* Write WHIZARD model" write (u, *) open (newunit=um, file=char (model_name // ".mdl"), & status="replace", action="readwrite") write (um, "(A)") 'model "models_8_M"' write (um, "(A)") ' parameter a = 1' rewind (um) do read (um, "(A)", end=1) buffer write (u, "(A)") trim (buffer) end do 1 continue close (um) write (u, *) write (u, "(A)") "* Write UFO model" write (u, *) open (newunit=um, file=char (model_name // ".ufo.mdl"), & status="replace", action="readwrite") write (um, "(A)") 'model "models_8_M"' write (um, "(A)") ' parameter a = 2' rewind (um) do read (um, "(A)", end=2) buffer write (u, "(A)") trim (buffer) end do 2 continue close (um) call syntax_model_file_init () call os_data%init () write (u, *) write (u, "(A)") "* Read WHIZARD model" write (u, *) call model_list%read_model (model_name, model_name // ".mdl", & os_data, model) call model%write (u, show_md5sum=.false.) call show_model_list_status () write (u, *) write (u, "(A)") "* Read UFO model" write (u, *) call model_list%read_model (model_name, model_name // ".ufo.mdl", & os_data, model, ufo=.true., rebuild_mdl = .false.) call model%write (u, show_md5sum=.false.) call show_model_list_status () write (u, *) write (u, "(A)") "* Reload WHIZARD model" write (u, *) call model_list%read_model (model_name, model_name // ".mdl", & os_data, model) call model%write (u, show_md5sum=.false.) call show_model_list_status () write (u, *) write (u, "(A)") "* Reload UFO model" write (u, *) call model_list%read_model (model_name, model_name // ".ufo.mdl", & os_data, model, ufo=.true., rebuild_mdl = .false.) call model%write (u, show_md5sum=.false.) call show_model_list_status () write (u, *) write (u, "(A)") "* Cleanup" call model_list%final () call syntax_model_file_final () write (u, *) write (u, "(A)") "* Test output end: models_8" contains subroutine show_model_list_status () write (u, "(A)") "* Model list status" write (u, *) write (u, "(A,1x,L1)") "WHIZARD model exists =", & model_list%model_exists (model_name) write (u, "(A,1x,L1)") "UFO model exists =", & model_list%model_exists (model_name, ufo=.true.) end subroutine show_model_list_status end subroutine models_8 @ %def models_8 @ \subsubsection{Generate UFO model file} Generate the necessary [[.ufo.mdl]] file from source, calling OMega, and load the model. Note: There must not be another unit test which works with the same UFO model. The model file is deleted explicitly at the end of this test. <<Models: execute tests>>= call test (models_9, "models_9", & "generate UFO-derived model file", & u, results) <<Models: test declarations>>= public :: models_9 <<Models: tests>>= subroutine models_9 (u) integer, intent(in) :: u integer :: um character(80) :: buffer type(os_data_t) :: os_data type(model_list_t) :: model_list type(string_t) :: model_name, model_file_name type(model_t), pointer :: model write (u, "(A)") "* Test output: models_9" write (u, "(A)") "* Purpose: enable the UFO Standard Model (test version)" write (u, *) call os_data%init () call syntax_model_file_init () os_data%whizard_modelpath_ufo = "../models/UFO" model_name = "SM" model_file_name = model_name // ".models_9" // ".ufo.mdl" write (u, "(A)") "* Generate and read UFO model" write (u, *) call delete_file (char (model_file_name)) call model_list%read_model (model_name, model_file_name, os_data, model, ufo=.true.) call model%write (u, show_md5sum=.false.) write (u, *) write (u, "(A)") "* Cleanup" call model_list%final () call syntax_model_file_final () write (u, *) write (u, "(A)") "* Test output end: models_9" end subroutine models_9 @ %def models_9 @ \subsubsection{Read model with schemes} Read a model from file which contains [[slha_entry]] qualifiers for parameters. <<Models: execute tests>>= call test (models_10, "models_10", & "handle slha_entry option", & u, results) <<Models: test declarations>>= public :: models_10 <<Models: tests>>= subroutine models_10 (u) integer, intent(in) :: u integer :: um character(80) :: buffer type(os_data_t) :: os_data type(model_list_t) :: model_list type(var_list_t), pointer :: var_list type(model_t), pointer :: model type(string_t), dimension(:), allocatable :: slha_block_name integer :: i write (u, "(A)") "* Test output: models_10" write (u, "(A)") "* Purpose: read a model from file & &with slha_entry options" write (u, *) open (newunit=um, file="Test10.mdl", status="replace", action="readwrite") write (um, "(A)") 'model "Test10"' write (um, "(A)") ' parameter a = 1 slha_entry FOO 1' write (um, "(A)") ' parameter b = 4 slha_entry BAR 2 1' rewind (um) do read (um, "(A)", end=1) buffer write (u, "(A)") trim (buffer) end do 1 continue close (um) call syntax_model_file_init () call os_data%init () write (u, *) write (u, "(A)") "* Model output, default scheme (= foo)" write (u, *) call model_list%read_model (var_str ("Test10"), var_str ("Test10.mdl"), & os_data, model) call model%write (u, show_md5sum=.false.) write (u, *) write (u, "(A)") "* Check that model contains slha_entry options" write (u, *) write (u, "(A,1x,L1)") & "supports_custom_slha =", model%supports_custom_slha () write (u, *) write (u, "(A)") "custom_slha_blocks =" call model%get_custom_slha_blocks (slha_block_name) do i = 1, size (slha_block_name) write (u, "(1x,A)", advance="no") char (slha_block_name(i)) end do write (u, *) write (u, *) write (u, "(A)") "* Parameter lookup" write (u, *) call show_slha ("FOO", [1]) call show_slha ("FOO", [2]) call show_slha ("BAR", [2, 1]) call show_slha ("GEE", [3]) write (u, *) write (u, "(A)") "* Modify parameter via SLHA block interface" write (u, *) call model%slha_set_par (var_str ("FOO"), [1], 7._default) call show_slha ("FOO", [1]) write (u, *) write (u, "(A)") "* Show var list with modified parameter" write (u, *) call show_var_list () write (u, *) write (u, "(A)") "* Cleanup" call model_list%final () call syntax_model_file_final () write (u, *) write (u, "(A)") "* Test output end: models_10" contains subroutine show_slha (block_name, block_index) character(*), intent(in) :: block_name integer, dimension(:), intent(in) :: block_index class(modelpar_data_t), pointer :: par_data write (u, "(A,*(1x,I0))", advance="no") block_name, block_index write (u, "(' => ')", advance="no") call model%slha_lookup (var_str (block_name), block_index, par_data) if (associated (par_data)) then call par_data%write (u) write (u, *) else write (u, "('-')") end if end subroutine show_slha subroutine show_var_list () var_list => model%get_var_list_ptr () call var_list%write (u) end subroutine show_var_list end subroutine models_10 @ %def models_10 @ \clearpage %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{The SUSY Les Houches Accord} The SUSY Les Houches Accord defines a standard interfaces for storing the physics data of SUSY models. Here, we provide the means for reading, storing, and writing such data. <<[[slha_interface.f90]]>>= <<File header>> module slha_interface <<Use kinds>> <<Use strings>> use io_units use constants use string_utils, only: upper_case use system_defs, only: VERSION_STRING use system_defs, only: EOF use diagnostics use os_interface use ifiles use lexers use syntax_rules use parser use variables use models <<Standard module head>> <<SLHA: public>> <<SLHA: parameters>> <<SLHA: variables>> save contains <<SLHA: procedures>> <<SLHA: tests>> end module slha_interface @ %def slha_interface @ \subsection{Preprocessor} SLHA is a mixed-format standard. It should be read in assuming free format (but line-oriented), but it has some fixed-format elements. To overcome this difficulty, we implement a preprocessing step which transforms the SLHA into a format that can be swallowed by our generic free-format lexer and parser. Each line with a blank first character is assumed to be a data line. We prepend a 'DATA' keyword to these lines. Furthermore, to enforce line-orientation, each line is appended a '\$' key which is recognized by the parser. To do this properly, we first remove trailing comments, and skip lines consisting only of comments. The preprocessor reads from a stream and puts out an [[ifile]]. Blocks that are not recognized are skipped. For some blocks, data items are quoted, so they can be read as strings if necessary. A name clash occurse if the block name is identical to a keyword. This can happen for custom SLHA models and files. In that case, we prepend an underscore, which will be silently suppressed where needed. <<SLHA: parameters>>= integer, parameter :: MODE_SKIP = 0, MODE_DATA = 1, MODE_INFO = 2 @ %def MODE_SKIP = 0, MODE_DATA = 1, MODE_INFO = 2 <<SLHA: procedures>>= subroutine slha_preprocess (stream, custom_block_name, ifile) type(stream_t), intent(inout), target :: stream type(string_t), dimension(:), intent(in) :: custom_block_name type(ifile_t), intent(out) :: ifile type(string_t) :: buffer, line, item integer :: iostat integer :: mode mode = MODE SCAN_FILE: do call stream_get_record (stream, buffer, iostat) select case (iostat) case (0) call split (buffer, line, "#") if (len_trim (line) == 0) cycle SCAN_FILE select case (char (extract (line, 1, 1))) case ("B", "b") call check_block_handling (line, custom_block_name, mode) call ifile_append (ifile, line // "$") case ("D", "d") mode = MODE_DATA call ifile_append (ifile, line // "$") case (" ") select case (mode) case (MODE_DATA) call ifile_append (ifile, "DATA" // line // "$") case (MODE_INFO) line = adjustl (line) call split (line, item, " ") call ifile_append (ifile, "INFO" // " " // item // " " & // '"' // trim (adjustl (line)) // '" $') end select case default call msg_message (char (line)) call msg_fatal ("SLHA: Incomprehensible line") end select case (EOF) exit SCAN_FILE case default call msg_fatal ("SLHA: I/O error occured while reading SLHA input") end select end do SCAN_FILE end subroutine slha_preprocess @ %def slha_preprocess @ Return the mode that we should treat this block with. We add the [[custom_block_name]] array to the set of supported blocks, which otherwise includes only hard-coded block names. Those custom blocks are data blocks. Unknown blocks will be skipped altogether. The standard does not specify their internal format at all, so we must not parse their content. If the name of a (custom) block clashes with a keyword of the SLHA syntax, we append an underscore to the block name, modifying the current line string. This should be silently suppressed when actually parsing block names. <<SLHA: procedures>>= subroutine check_block_handling (line, custom_block_name, mode) type(string_t), intent(inout) :: line type(string_t), dimension(:), intent(in) :: custom_block_name integer, intent(out) :: mode type(string_t) :: buffer, key, block_name integer :: i buffer = trim (line) call split (buffer, key, " ") buffer = adjustl (buffer) call split (buffer, block_name, " ") buffer = adjustl (buffer) block_name = trim (adjustl (upper_case (block_name))) select case (char (block_name)) case ("MODSEL", "MINPAR", "SMINPUTS") mode = MODE_DATA case ("MASS") mode = MODE_DATA case ("NMIX", "UMIX", "VMIX", "STOPMIX", "SBOTMIX", "STAUMIX") mode = MODE_DATA case ("NMHMIX", "NMAMIX", "NMNMIX", "NMSSMRUN") mode = MODE_DATA case ("ALPHA", "HMIX") mode = MODE_DATA case ("AU", "AD", "AE") mode = MODE_DATA case ("SPINFO", "DCINFO") mode = MODE_INFO case default mode = MODE_SKIP CHECK_CUSTOM_NAMES: do i = 1, size (custom_block_name) if (block_name == custom_block_name(i)) then mode = MODE_DATA call mangle_keywords (block_name) line = key // " " // block_name // " " // trim (buffer) exit CHECK_CUSTOM_NAMES end if end do CHECK_CUSTOM_NAMES end select end subroutine check_block_handling @ %def check_block_handling @ Append an underscore to specific block names: <<SLHA: procedures>>= subroutine mangle_keywords (name) type(string_t), intent(inout) :: name select case (char (name)) case ("BLOCK", "DATA", "INFO", "DECAY") name = name // "_" end select end subroutine mangle_keywords @ %def mangle_keywords @ Remove the underscore again: <<SLHA: procedures>>= subroutine demangle_keywords (name) type(string_t), intent(inout) :: name select case (char (name)) case ("BLOCK_", "DATA_", "INFO_", "DECAY_") name = extract (name, 1, len(name)-1) end select end subroutine demangle_keywords @ %def demangle_keywords @ \subsection{Lexer and syntax} <<SLHA: variables>>= type(syntax_t), target :: syntax_slha @ %def syntax_slha <<SLHA: public>>= public :: syntax_slha_init <<SLHA: procedures>>= subroutine syntax_slha_init () type(ifile_t) :: ifile call define_slha_syntax (ifile) call syntax_init (syntax_slha, ifile) call ifile_final (ifile) end subroutine syntax_slha_init @ %def syntax_slha_init <<SLHA: public>>= public :: syntax_slha_final <<SLHA: procedures>>= subroutine syntax_slha_final () call syntax_final (syntax_slha) end subroutine syntax_slha_final @ %def syntax_slha_final <<SLHA: public>>= public :: syntax_slha_write <<SLHA: procedures>>= subroutine syntax_slha_write (unit) integer, intent(in), optional :: unit call syntax_write (syntax_slha, unit) end subroutine syntax_slha_write @ %def syntax_slha_write <<SLHA: procedures>>= subroutine define_slha_syntax (ifile) type(ifile_t), intent(inout) :: ifile call ifile_append (ifile, "SEQ slha = chunk*") call ifile_append (ifile, "ALT chunk = block_def | decay_def") call ifile_append (ifile, "SEQ block_def = " & // "BLOCK blockgen '$' block_line*") call ifile_append (ifile, "ALT blockgen = block_spec | q_spec") call ifile_append (ifile, "KEY BLOCK") call ifile_append (ifile, "SEQ q_spec = QNUMBERS pdg_code") call ifile_append (ifile, "KEY QNUMBERS") call ifile_append (ifile, "SEQ block_spec = block_name qvalue?") call ifile_append (ifile, "IDE block_name") call ifile_append (ifile, "SEQ qvalue = qname '=' real") call ifile_append (ifile, "IDE qname") call ifile_append (ifile, "KEY '='") call ifile_append (ifile, "REA real") call ifile_append (ifile, "KEY '$'") call ifile_append (ifile, "ALT block_line = block_data | block_info") call ifile_append (ifile, "SEQ block_data = DATA data_line '$'") call ifile_append (ifile, "KEY DATA") call ifile_append (ifile, "SEQ data_line = data_item+") call ifile_append (ifile, "ALT data_item = signed_number | number") call ifile_append (ifile, "SEQ signed_number = sign number") call ifile_append (ifile, "ALT sign = '+' | '-'") call ifile_append (ifile, "ALT number = integer | real") call ifile_append (ifile, "INT integer") call ifile_append (ifile, "KEY '-'") call ifile_append (ifile, "KEY '+'") call ifile_append (ifile, "SEQ block_info = INFO info_line '$'") call ifile_append (ifile, "KEY INFO") call ifile_append (ifile, "SEQ info_line = integer string_literal") call ifile_append (ifile, "QUO string_literal = '""'...'""'") call ifile_append (ifile, "SEQ decay_def = " & // "DECAY decay_spec '$' decay_data*") call ifile_append (ifile, "KEY DECAY") call ifile_append (ifile, "SEQ decay_spec = pdg_code data_item") call ifile_append (ifile, "ALT pdg_code = signed_integer | integer") call ifile_append (ifile, "SEQ signed_integer = sign integer") call ifile_append (ifile, "SEQ decay_data = DATA decay_line '$'") call ifile_append (ifile, "SEQ decay_line = data_item integer pdg_code+") end subroutine define_slha_syntax @ %def define_slha_syntax @ The SLHA specification allows for string data items in certain places. Currently, we do not interpret them, but the strings, which are not quoted, must be parsed somehow. The hack for this problem is to allow essentially all characters as special characters, so the string can be read before it is discarded. <<SLHA: public>>= public :: lexer_init_slha <<SLHA: procedures>>= subroutine lexer_init_slha (lexer) type(lexer_t), intent(out) :: lexer call lexer_init (lexer, & comment_chars = "#", & quote_chars = '"', & quote_match = '"', & single_chars = "+-=$", & special_class = [ "" ], & keyword_list = syntax_get_keyword_list_ptr (syntax_slha), & upper_case_keywords = .true.) ! $ end subroutine lexer_init_slha @ %def lexer_init_slha @ \subsection{Interpreter} \subsubsection{Find blocks} From the parse tree, find the node that represents a particular block. If [[required]] is true, issue an error if not found. Since [[block_name]] is always invoked with capital letters, we have to capitalize [[pn_block_name]]. <<SLHA: procedures>>= function slha_get_block_ptr & (parse_tree, block_name, required) result (pn_block) type(parse_node_t), pointer :: pn_block type(parse_tree_t), intent(in) :: parse_tree type(string_t), intent(in) :: block_name type(string_t) :: block_def logical, intent(in) :: required type(parse_node_t), pointer :: pn_root, pn_block_spec, pn_block_name pn_root => parse_tree%get_root_ptr () pn_block => parse_node_get_sub_ptr (pn_root) do while (associated (pn_block)) select case (char (parse_node_get_rule_key (pn_block))) case ("block_def") pn_block_spec => parse_node_get_sub_ptr (pn_block, 2) pn_block_name => parse_node_get_sub_ptr (pn_block_spec) select case (char (pn_block_name%get_rule_key ())) case ("block_name") block_def = trim (adjustl (upper_case & (pn_block_name%get_string ()))) case ("QNUMBERS") block_def = "QNUMBERS" end select if (block_def == block_name) then return end if end select pn_block => parse_node_get_next_ptr (pn_block) end do if (required) then call msg_fatal ("SLHA: block '" // char (block_name) // "' not found") end if end function slha_get_block_ptr @ %def slha_get_blck_ptr @ Scan the file for the first/next DECAY block. <<SLHA: procedures>>= function slha_get_first_decay_ptr (parse_tree) result (pn_decay) type(parse_node_t), pointer :: pn_decay type(parse_tree_t), intent(in) :: parse_tree type(parse_node_t), pointer :: pn_root pn_root => parse_tree%get_root_ptr () pn_decay => parse_node_get_sub_ptr (pn_root) do while (associated (pn_decay)) select case (char (parse_node_get_rule_key (pn_decay))) case ("decay_def") return end select pn_decay => parse_node_get_next_ptr (pn_decay) end do end function slha_get_first_decay_ptr function slha_get_next_decay_ptr (pn_block) result (pn_decay) type(parse_node_t), pointer :: pn_decay type(parse_node_t), intent(in), target :: pn_block pn_decay => parse_node_get_next_ptr (pn_block) do while (associated (pn_decay)) select case (char (parse_node_get_rule_key (pn_decay))) case ("decay_def") return end select pn_decay => parse_node_get_next_ptr (pn_decay) end do end function slha_get_next_decay_ptr @ %def slha_get_next_decay_ptr @ \subsubsection{Extract and transfer data from blocks} Given the parse node of a block, find the parse node of a particular switch or data line. Return this node and the node of the data item following the integer code. <<SLHA: procedures>>= subroutine slha_find_index_ptr (pn_block, pn_data, pn_item, code) type(parse_node_t), intent(in), target :: pn_block type(parse_node_t), intent(out), pointer :: pn_data type(parse_node_t), intent(out), pointer :: pn_item integer, intent(in) :: code pn_data => parse_node_get_sub_ptr (pn_block, 4) call slha_next_index_ptr (pn_data, pn_item, code) end subroutine slha_find_index_ptr subroutine slha_find_index_pair_ptr (pn_block, pn_data, pn_item, code1, code2) type(parse_node_t), intent(in), target :: pn_block type(parse_node_t), intent(out), pointer :: pn_data type(parse_node_t), intent(out), pointer :: pn_item integer, intent(in) :: code1, code2 pn_data => parse_node_get_sub_ptr (pn_block, 4) call slha_next_index_pair_ptr (pn_data, pn_item, code1, code2) end subroutine slha_find_index_pair_ptr @ %def slha_find_index_ptr slha_find_index_pair_ptr @ Starting from the pointer to a data line, find a data line with the given integer code. <<SLHA: procedures>>= subroutine slha_next_index_ptr (pn_data, pn_item, code) type(parse_node_t), intent(inout), pointer :: pn_data integer, intent(in) :: code type(parse_node_t), intent(out), pointer :: pn_item type(parse_node_t), pointer :: pn_line, pn_code do while (associated (pn_data)) pn_line => parse_node_get_sub_ptr (pn_data, 2) pn_code => parse_node_get_sub_ptr (pn_line) select case (char (parse_node_get_rule_key (pn_code))) case ("integer") if (parse_node_get_integer (pn_code) == code) then pn_item => parse_node_get_next_ptr (pn_code) return end if end select pn_data => parse_node_get_next_ptr (pn_data) end do pn_item => null () end subroutine slha_next_index_ptr @ %def slha_next_index_ptr @ Starting from the pointer to a data line, find a data line with the given integer code pair. <<SLHA: procedures>>= subroutine slha_next_index_pair_ptr (pn_data, pn_item, code1, code2) type(parse_node_t), intent(inout), pointer :: pn_data integer, intent(in) :: code1, code2 type(parse_node_t), intent(out), pointer :: pn_item type(parse_node_t), pointer :: pn_line, pn_code1, pn_code2 do while (associated (pn_data)) pn_line => parse_node_get_sub_ptr (pn_data, 2) pn_code1 => parse_node_get_sub_ptr (pn_line) select case (char (parse_node_get_rule_key (pn_code1))) case ("integer") if (parse_node_get_integer (pn_code1) == code1) then pn_code2 => parse_node_get_next_ptr (pn_code1) if (associated (pn_code2)) then select case (char (parse_node_get_rule_key (pn_code2))) case ("integer") if (parse_node_get_integer (pn_code2) == code2) then pn_item => parse_node_get_next_ptr (pn_code2) return end if end select end if end if end select pn_data => parse_node_get_next_ptr (pn_data) end do pn_item => null () end subroutine slha_next_index_pair_ptr @ %def slha_next_index_pair_ptr @ \subsubsection{Handle info data} Return all strings with index [[i]]. The result is an allocated string array. Since we do not know the number of matching entries in advance, we build an intermediate list which is transferred to the final array and deleted before exiting. <<SLHA: procedures>>= subroutine retrieve_strings_in_block (pn_block, code, str_array) type(parse_node_t), intent(in), target :: pn_block integer, intent(in) :: code type(string_t), dimension(:), allocatable, intent(out) :: str_array type(parse_node_t), pointer :: pn_data, pn_item type :: str_entry_t type(string_t) :: str type(str_entry_t), pointer :: next => null () end type str_entry_t type(str_entry_t), pointer :: first => null () type(str_entry_t), pointer :: current => null () integer :: n n = 0 call slha_find_index_ptr (pn_block, pn_data, pn_item, code) if (associated (pn_item)) then n = n + 1 allocate (first) first%str = parse_node_get_string (pn_item) current => first do while (associated (pn_data)) pn_data => parse_node_get_next_ptr (pn_data) call slha_next_index_ptr (pn_data, pn_item, code) if (associated (pn_item)) then n = n + 1 allocate (current%next) current => current%next current%str = parse_node_get_string (pn_item) end if end do allocate (str_array (n)) n = 0 do while (associated (first)) n = n + 1 current => first str_array(n) = current%str first => first%next deallocate (current) end do else allocate (str_array (0)) end if end subroutine retrieve_strings_in_block @ %def retrieve_strings_in_block @ \subsubsection{Transfer data from SLHA to variables} Extract real parameter with index [[i]]. If it does not exist, retrieve it from the variable list, using the given name. <<SLHA: procedures>>= function get_parameter_in_block (pn_block, code, name, var_list) result (var) real(default) :: var type(parse_node_t), intent(in), target :: pn_block integer, intent(in) :: code type(string_t), intent(in) :: name type(var_list_t), intent(in), target :: var_list type(parse_node_t), pointer :: pn_data, pn_item call slha_find_index_ptr (pn_block, pn_data, pn_item, code) if (associated (pn_item)) then var = get_real_parameter (pn_item) else var = var_list%get_rval (name) end if end function get_parameter_in_block @ %def get_parameter_in_block @ Extract a real data item with index [[i]]. If it does exist, set it in the variable list, using the given name. If the variable is not present in the variable list, ignore it. <<SLHA: procedures>>= subroutine set_data_item (pn_block, code, name, var_list) type(parse_node_t), intent(in), target :: pn_block integer, intent(in) :: code type(string_t), intent(in) :: name type(var_list_t), intent(inout), target :: var_list type(parse_node_t), pointer :: pn_data, pn_item call slha_find_index_ptr (pn_block, pn_data, pn_item, code) if (associated (pn_item)) then call var_list%set_real (name, get_real_parameter (pn_item), & is_known=.true., ignore=.true.) end if end subroutine set_data_item @ %def set_data_item @ Extract a real matrix element with index [[i,j]]. If it does exists, set it in the variable list, using the given name. If the variable is not present in the variable list, ignore it. <<SLHA: procedures>>= subroutine set_matrix_element (pn_block, code1, code2, name, var_list) type(parse_node_t), intent(in), target :: pn_block integer, intent(in) :: code1, code2 type(string_t), intent(in) :: name type(var_list_t), intent(inout), target :: var_list type(parse_node_t), pointer :: pn_data, pn_item call slha_find_index_pair_ptr (pn_block, pn_data, pn_item, code1, code2) if (associated (pn_item)) then call var_list%set_real (name, get_real_parameter (pn_item), & is_known=.true., ignore=.true.) end if end subroutine set_matrix_element @ %def set_matrix_element @ \subsubsection{Transfer data from variables to SLHA} Get a real/integer parameter with index [[i]] from the variable list and write it to the current output file. In the integer case, we account for the fact that the variable is type real. If it does not exist, do nothing. <<SLHA: procedures>>= subroutine write_integer_data_item (u, code, name, var_list, comment) integer, intent(in) :: u integer, intent(in) :: code type(string_t), intent(in) :: name type(var_list_t), intent(in) :: var_list character(*), intent(in) :: comment integer :: item if (var_list%contains (name)) then item = nint (var_list%get_rval (name)) call write_integer_parameter (u, code, item, comment) end if end subroutine write_integer_data_item subroutine write_real_data_item (u, code, name, var_list, comment) integer, intent(in) :: u integer, intent(in) :: code type(string_t), intent(in) :: name type(var_list_t), intent(in) :: var_list character(*), intent(in) :: comment real(default) :: item if (var_list%contains (name)) then item = var_list%get_rval (name) call write_real_parameter (u, code, item, comment) end if end subroutine write_real_data_item @ %def write_real_data_item @ Get a real data item with two integer indices from the variable list and write it to the current output file. If it does not exist, do nothing. <<SLHA: procedures>>= subroutine write_matrix_element (u, code1, code2, name, var_list, comment) integer, intent(in) :: u integer, intent(in) :: code1, code2 type(string_t), intent(in) :: name type(var_list_t), intent(in) :: var_list character(*), intent(in) :: comment real(default) :: item if (var_list%contains (name)) then item = var_list%get_rval (name) call write_real_matrix_element (u, code1, code2, item, comment) end if end subroutine write_matrix_element @ %def write_matrix_element @ \subsection{Auxiliary function} Write a block header. <<SLHA: procedures>>= subroutine write_block_header (u, name, comment) integer, intent(in) :: u character(*), intent(in) :: name, comment write (u, "(A,1x,A,3x,'#',1x,A)") "BLOCK", name, comment end subroutine write_block_header @ %def write_block_header @ Extract a real parameter that may be defined real or integer, signed or unsigned. <<SLHA: procedures>>= function get_real_parameter (pn_item) result (var) real(default) :: var type(parse_node_t), intent(in), target :: pn_item type(parse_node_t), pointer :: pn_sign, pn_var integer :: sign select case (char (parse_node_get_rule_key (pn_item))) case ("signed_number") pn_sign => parse_node_get_sub_ptr (pn_item) pn_var => parse_node_get_next_ptr (pn_sign) select case (char (parse_node_get_key (pn_sign))) case ("+"); sign = +1 case ("-"); sign = -1 end select case default sign = +1 pn_var => pn_item end select select case (char (parse_node_get_rule_key (pn_var))) case ("integer"); var = sign * parse_node_get_integer (pn_var) case ("real"); var = sign * parse_node_get_real (pn_var) end select end function get_real_parameter @ %def get_real_parameter @ Auxiliary: Extract an integer parameter that may be defined signed or unsigned. A real value is an error. <<SLHA: procedures>>= function get_integer_parameter (pn_item) result (var) integer :: var type(parse_node_t), intent(in), target :: pn_item type(parse_node_t), pointer :: pn_sign, pn_var integer :: sign select case (char (parse_node_get_rule_key (pn_item))) case ("signed_integer") pn_sign => parse_node_get_sub_ptr (pn_item) pn_var => parse_node_get_next_ptr (pn_sign) select case (char (parse_node_get_key (pn_sign))) case ("+"); sign = +1 case ("-"); sign = -1 end select case ("integer") sign = +1 pn_var => pn_item case default call parse_node_write (pn_var) call msg_error ("SLHA: Integer parameter expected") var = 0 return end select var = sign * parse_node_get_integer (pn_var) end function get_integer_parameter @ %def get_real_parameter @ Write an integer parameter with a single index directly to file, using the required output format. <<SLHA: procedures>>= subroutine write_integer_parameter (u, code, item, comment) integer, intent(in) :: u integer, intent(in) :: code integer, intent(in) :: item character(*), intent(in) :: comment 1 format (1x, I9, 3x, 3x, I9, 4x, 3x, '#', 1x, A) write (u, 1) code, item, comment end subroutine write_integer_parameter @ %def write_integer_parameter @ Write a real parameter with two indices directly to file, using the required output format. <<SLHA: procedures>>= subroutine write_real_parameter (u, code, item, comment) integer, intent(in) :: u integer, intent(in) :: code real(default), intent(in) :: item character(*), intent(in) :: comment 1 format (1x, I9, 3x, 1P, E16.8, 0P, 3x, '#', 1x, A) write (u, 1) code, item, comment end subroutine write_real_parameter @ %def write_real_parameter @ Write a real parameter with a single index directly to file, using the required output format. <<SLHA: procedures>>= subroutine write_real_matrix_element (u, code1, code2, item, comment) integer, intent(in) :: u integer, intent(in) :: code1, code2 real(default), intent(in) :: item character(*), intent(in) :: comment 1 format (1x, I2, 1x, I2, 3x, 1P, E16.8, 0P, 3x, '#', 1x, A) write (u, 1) code1, code2, item, comment end subroutine write_real_matrix_element @ %def write_real_matrix_element @ \subsubsection{The concrete SLHA interpreter} SLHA codes for particular physics models <<SLHA: parameters>>= integer, parameter :: MDL_MSSM = 0 integer, parameter :: MDL_NMSSM = 1 @ %def MDL_MSSM MDL_NMSSM @ Take the parse tree and extract relevant data. Select the correct model and store all data that is present in the appropriate variable list. Finally, update the variable record. We assume that if the model contains custom SLHA block names, we just have to scan those to get complete information. Block names could coincide with the SLHA standard block names, but we do not have to assume this. This will be the situation for an UFO-generated file. In particular, an UFO file should contain all expressions necessary for computing dependent parameters, so we can forget about the strict SLHA standard and its hard-coded conventions. If there are no custom SLHA block names, we should assume that the model is a standard SUSY model, and the parameters and hard-coded blocks can be read as specified by the original SLHA standard. There are hard-coded block names and parameter calculations. Public for use in unit test. <<SLHA: public>>= public :: slha_interpret_parse_tree <<SLHA: procedures>>= subroutine slha_interpret_parse_tree & (parse_tree, model, input, spectrum, decays) type(parse_tree_t), intent(in) :: parse_tree type(model_t), intent(inout), target :: model logical, intent(in) :: input, spectrum, decays logical :: errors integer :: mssm_type if (model%supports_custom_slha ()) then call slha_handle_custom_file (parse_tree, model) else call slha_handle_MODSEL (parse_tree, model, mssm_type) if (input) then call slha_handle_SMINPUTS (parse_tree, model) call slha_handle_MINPAR (parse_tree, model, mssm_type) end if if (spectrum) then call slha_handle_info_block (parse_tree, "SPINFO", errors) if (errors) return call slha_handle_MASS (parse_tree, model) call slha_handle_matrix_block (parse_tree, "NMIX", "mn_", 4, 4, model) call slha_handle_matrix_block (parse_tree, "NMNMIX", "mixn_", 5, 5, model) call slha_handle_matrix_block (parse_tree, "UMIX", "mu_", 2, 2, model) call slha_handle_matrix_block (parse_tree, "VMIX", "mv_", 2, 2, model) call slha_handle_matrix_block (parse_tree, "STOPMIX", "mt_", 2, 2, model) call slha_handle_matrix_block (parse_tree, "SBOTMIX", "mb_", 2, 2, model) call slha_handle_matrix_block (parse_tree, "STAUMIX", "ml_", 2, 2, model) call slha_handle_matrix_block (parse_tree, "NMHMIX", "mixh0_", 3, 3, model) call slha_handle_matrix_block (parse_tree, "NMAMIX", "mixa0_", 2, 3, model) call slha_handle_ALPHA (parse_tree, model) call slha_handle_HMIX (parse_tree, model) call slha_handle_NMSSMRUN (parse_tree, model) call slha_handle_matrix_block (parse_tree, "AU", "Au_", 3, 3, model) call slha_handle_matrix_block (parse_tree, "AD", "Ad_", 3, 3, model) call slha_handle_matrix_block (parse_tree, "AE", "Ae_", 3, 3, model) end if end if if (decays) then call slha_handle_info_block (parse_tree, "DCINFO", errors) if (errors) return call slha_handle_decays (parse_tree, model) end if end subroutine slha_interpret_parse_tree @ %def slha_interpret_parse_tree @ \subsubsection{Info blocks} Handle the informational blocks SPINFO and DCINFO. The first two items are program name and version. Items with index 3 are warnings. Items with index 4 are errors. We reproduce these as WHIZARD warnings and errors. <<SLHA: procedures>>= subroutine slha_handle_info_block (parse_tree, block_name, errors) type(parse_tree_t), intent(in) :: parse_tree character(*), intent(in) :: block_name logical, intent(out) :: errors type(parse_node_t), pointer :: pn_block type(string_t), dimension(:), allocatable :: msg integer :: i pn_block => slha_get_block_ptr & (parse_tree, var_str (block_name), required=.true.) if (.not. associated (pn_block)) then call msg_error ("SLHA: Missing info block '" & // trim (block_name) // "'; ignored.") errors = .true. return end if select case (block_name) case ("SPINFO") call msg_message ("SLHA: SUSY spectrum program info:") case ("DCINFO") call msg_message ("SLHA: SUSY decay program info:") end select call retrieve_strings_in_block (pn_block, 1, msg) do i = 1, size (msg) call msg_message ("SLHA: " // char (msg(i))) end do call retrieve_strings_in_block (pn_block, 2, msg) do i = 1, size (msg) call msg_message ("SLHA: " // char (msg(i))) end do call retrieve_strings_in_block (pn_block, 3, msg) do i = 1, size (msg) call msg_warning ("SLHA: " // char (msg(i))) end do call retrieve_strings_in_block (pn_block, 4, msg) do i = 1, size (msg) call msg_error ("SLHA: " // char (msg(i))) end do errors = size (msg) > 0 end subroutine slha_handle_info_block @ %def slha_handle_info_block @ \subsubsection{MODSEL} Handle the overall model definition. Only certain models are recognized. The soft-breaking model templates that determine the set of input parameters. This block used to be required, but for generic UFO model support we should allow for its absence. In that case, [[mssm_type]] will be set to a negative value. If the block is present, the model must be one of the following, or parsing ends with an error. <<SLHA: parameters>>= integer, parameter :: MSSM_GENERIC = 0 integer, parameter :: MSSM_SUGRA = 1 integer, parameter :: MSSM_GMSB = 2 integer, parameter :: MSSM_AMSB = 3 @ %def MSSM_GENERIC MSSM_MSUGRA MSSM_GMSB MSSM_AMSB <<SLHA: procedures>>= subroutine slha_handle_MODSEL (parse_tree, model, mssm_type) type(parse_tree_t), intent(in) :: parse_tree type(model_t), intent(in), target :: model integer, intent(out) :: mssm_type type(parse_node_t), pointer :: pn_block, pn_data, pn_item type(string_t) :: model_name pn_block => slha_get_block_ptr & (parse_tree, var_str ("MODSEL"), required=.false.) if (.not. associated (pn_block)) then mssm_type = -1 return end if call slha_find_index_ptr (pn_block, pn_data, pn_item, 1) if (associated (pn_item)) then mssm_type = get_integer_parameter (pn_item) else mssm_type = MSSM_GENERIC end if call slha_find_index_ptr (pn_block, pn_data, pn_item, 3) if (associated (pn_item)) then select case (parse_node_get_integer (pn_item)) case (MDL_MSSM); model_name = "MSSM" case (MDL_NMSSM); model_name = "NMSSM" case default call msg_fatal ("SLHA: unknown model code in MODSEL") return end select else model_name = "MSSM" end if call slha_find_index_ptr (pn_block, pn_data, pn_item, 4) if (associated (pn_item)) then call msg_fatal (" R-parity violation is currently not supported by WHIZARD.") end if call slha_find_index_ptr (pn_block, pn_data, pn_item, 5) if (associated (pn_item)) then call msg_fatal (" CP violation is currently not supported by WHIZARD.") end if select case (char (model_name)) case ("MSSM") select case (char (model%get_name ())) case ("MSSM","MSSM_CKM","MSSM_Grav","MSSM_Hgg") model_name = model%get_name () case default call msg_fatal ("Selected model '" & // char (model%get_name ()) // "' does not match model '" & // char (model_name) // "' in SLHA input file.") return end select case ("NMSSM") select case (char (model%get_name ())) case ("NMSSM","NMSSM_CKM","NMSSM_Hgg") model_name = model%get_name () case default call msg_fatal ("Selected model '" & // char (model%get_name ()) // "' does not match model '" & // char (model_name) // "' in SLHA input file.") return end select case default call msg_bug ("SLHA model name '" & // char (model_name) // "' not recognized.") return end select call msg_message ("SLHA: Initializing model '" // char (model_name) // "'") end subroutine slha_handle_MODSEL @ %def slha_handle_MODSEL @ Write a MODSEL block, based on the contents of the current model. <<SLHA: procedures>>= subroutine slha_write_MODSEL (u, model, mssm_type) integer, intent(in) :: u type(model_t), intent(in), target :: model integer, intent(out) :: mssm_type type(var_list_t), pointer :: var_list integer :: model_id type(string_t) :: mtype_string var_list => model%get_var_list_ptr () if (var_list%contains (var_str ("mtype"))) then mssm_type = nint (var_list%get_rval (var_str ("mtype"))) else call msg_error ("SLHA: parameter 'mtype' (SUSY breaking scheme) " & // "is unknown in current model, no SLHA output possible") mssm_type = -1 return end if call write_block_header (u, "MODSEL", "SUSY model selection") select case (mssm_type) case (0); mtype_string = "Generic MSSM" case (1); mtype_string = "SUGRA" case (2); mtype_string = "GMSB" case (3); mtype_string = "AMSB" case default mtype_string = "unknown" end select call write_integer_parameter (u, 1, mssm_type, & "SUSY-breaking scheme: " // char (mtype_string)) select case (char (model%get_name ())) case ("MSSM"); model_id = MDL_MSSM case ("NMSSM"); model_id = MDL_NMSSM case default model_id = 0 end select call write_integer_parameter (u, 3, model_id, & "SUSY model type: " // char (model%get_name ())) end subroutine slha_write_MODSEL @ %def slha_write_MODSEL @ \subsubsection{SMINPUTS} Read SM parameters and update the variable list accordingly. If a parameter is not defined in the block, we use the previous value from the model variable list. For the basic parameters we have to do a small recalculation, since SLHA uses the $G_F$-$\alpha$-$m_Z$ scheme, while \whizard\ derives them from $G_F$, $m_W$, and $m_Z$. <<SLHA: procedures>>= subroutine slha_handle_SMINPUTS (parse_tree, model) type(parse_tree_t), intent(in) :: parse_tree type(model_t), intent(inout), target :: model type(parse_node_t), pointer :: pn_block real(default) :: alpha_em_i, GF, alphas, mZ real(default) :: ee, vv, cw_sw, cw2, mW real(default) :: mb, mtop, mtau type(var_list_t), pointer :: var_list var_list => model%get_var_list_ptr () pn_block => slha_get_block_ptr & (parse_tree, var_str ("SMINPUTS"), required=.true.) if (.not. (associated (pn_block))) return alpha_em_i = & get_parameter_in_block (pn_block, 1, var_str ("alpha_em_i"), var_list) GF = get_parameter_in_block (pn_block, 2, var_str ("GF"), var_list) alphas = & get_parameter_in_block (pn_block, 3, var_str ("alphas"), var_list) mZ = get_parameter_in_block (pn_block, 4, var_str ("mZ"), var_list) mb = get_parameter_in_block (pn_block, 5, var_str ("mb"), var_list) mtop = get_parameter_in_block (pn_block, 6, var_str ("mtop"), var_list) mtau = get_parameter_in_block (pn_block, 7, var_str ("mtau"), var_list) ee = sqrt (4 * pi / alpha_em_i) vv = 1 / sqrt (sqrt (2._default) * GF) cw_sw = ee * vv / (2 * mZ) if (2*cw_sw <= 1) then cw2 = (1 + sqrt (1 - 4 * cw_sw**2)) / 2 mW = mZ * sqrt (cw2) call var_list%set_real (var_str ("GF"), GF, .true.) call var_list%set_real (var_str ("mZ"), mZ, .true.) call var_list%set_real (var_str ("mW"), mW, .true.) call var_list%set_real (var_str ("mtau"), mtau, .true.) call var_list%set_real (var_str ("mb"), mb, .true.) call var_list%set_real (var_str ("mtop"), mtop, .true.) call var_list%set_real (var_str ("alphas"), alphas, .true.) else call msg_fatal ("SLHA: Unphysical SM parameter values") return end if end subroutine slha_handle_SMINPUTS @ %def slha_handle_SMINPUTS @ Write a SMINPUTS block. <<SLHA: procedures>>= subroutine slha_write_SMINPUTS (u, model) integer, intent(in) :: u type(model_t), intent(in), target :: model type(var_list_t), pointer :: var_list var_list => model%get_var_list_ptr () call write_block_header (u, "SMINPUTS", "SM input parameters") call write_real_data_item (u, 1, var_str ("alpha_em_i"), var_list, & "Inverse electromagnetic coupling alpha (Z pole)") call write_real_data_item (u, 2, var_str ("GF"), var_list, & "Fermi constant") call write_real_data_item (u, 3, var_str ("alphas"), var_list, & "Strong coupling alpha_s (Z pole)") call write_real_data_item (u, 4, var_str ("mZ"), var_list, & "Z mass") call write_real_data_item (u, 5, var_str ("mb"), var_list, & "b running mass (at mb)") call write_real_data_item (u, 6, var_str ("mtop"), var_list, & "top mass") call write_real_data_item (u, 7, var_str ("mtau"), var_list, & "tau mass") end subroutine slha_write_SMINPUTS @ %def slha_write_SMINPUTS @ \subsubsection{MINPAR} The block of SUSY input parameters. They are accessible to WHIZARD, but they only get used when an external spectrum generator is invoked. The precise set of parameters depends on the type of SUSY breaking, which by itself is one of the parameters. <<SLHA: procedures>>= subroutine slha_handle_MINPAR (parse_tree, model, mssm_type) type(parse_tree_t), intent(in) :: parse_tree type(model_t), intent(inout), target :: model integer, intent(in) :: mssm_type type(var_list_t), pointer :: var_list type(parse_node_t), pointer :: pn_block var_list => model%get_var_list_ptr () call var_list%set_real & (var_str ("mtype"), real(mssm_type, default), is_known=.true.) pn_block => slha_get_block_ptr & (parse_tree, var_str ("MINPAR"), required=.true.) select case (mssm_type) case (MSSM_SUGRA) call set_data_item (pn_block, 1, var_str ("m_zero"), var_list) call set_data_item (pn_block, 2, var_str ("m_half"), var_list) call set_data_item (pn_block, 3, var_str ("tanb"), var_list) call set_data_item (pn_block, 4, var_str ("sgn_mu"), var_list) call set_data_item (pn_block, 5, var_str ("A0"), var_list) case (MSSM_GMSB) call set_data_item (pn_block, 1, var_str ("Lambda"), var_list) call set_data_item (pn_block, 2, var_str ("M_mes"), var_list) call set_data_item (pn_block, 3, var_str ("tanb"), var_list) call set_data_item (pn_block, 4, var_str ("sgn_mu"), var_list) call set_data_item (pn_block, 5, var_str ("N_5"), var_list) call set_data_item (pn_block, 6, var_str ("c_grav"), var_list) case (MSSM_AMSB) call set_data_item (pn_block, 1, var_str ("m_zero"), var_list) call set_data_item (pn_block, 2, var_str ("m_grav"), var_list) call set_data_item (pn_block, 3, var_str ("tanb"), var_list) call set_data_item (pn_block, 4, var_str ("sgn_mu"), var_list) case default call set_data_item (pn_block, 3, var_str ("tanb"), var_list) end select end subroutine slha_handle_MINPAR @ %def slha_handle_MINPAR @ Write a MINPAR block as appropriate for the current model type. <<SLHA: procedures>>= subroutine slha_write_MINPAR (u, model, mssm_type) integer, intent(in) :: u type(model_t), intent(in), target :: model integer, intent(in) :: mssm_type type(var_list_t), pointer :: var_list var_list => model%get_var_list_ptr () call write_block_header (u, "MINPAR", "Basic SUSY input parameters") select case (mssm_type) case (MSSM_SUGRA) call write_real_data_item (u, 1, var_str ("m_zero"), var_list, & "Common scalar mass") call write_real_data_item (u, 2, var_str ("m_half"), var_list, & "Common gaugino mass") call write_real_data_item (u, 3, var_str ("tanb"), var_list, & "tan(beta)") call write_integer_data_item (u, 4, & var_str ("sgn_mu"), var_list, & "Sign of mu") call write_real_data_item (u, 5, var_str ("A0"), var_list, & "Common trilinear coupling") case (MSSM_GMSB) call write_real_data_item (u, 1, var_str ("Lambda"), var_list, & "Soft-breaking scale") call write_real_data_item (u, 2, var_str ("M_mes"), var_list, & "Messenger scale") call write_real_data_item (u, 3, var_str ("tanb"), var_list, & "tan(beta)") call write_integer_data_item (u, 4, & var_str ("sgn_mu"), var_list, & "Sign of mu") call write_integer_data_item (u, 5, var_str ("N_5"), var_list, & "Messenger index") call write_real_data_item (u, 6, var_str ("c_grav"), var_list, & "Gravitino mass factor") case (MSSM_AMSB) call write_real_data_item (u, 1, var_str ("m_zero"), var_list, & "Common scalar mass") call write_real_data_item (u, 2, var_str ("m_grav"), var_list, & "Gravitino mass") call write_real_data_item (u, 3, var_str ("tanb"), var_list, & "tan(beta)") call write_integer_data_item (u, 4, & var_str ("sgn_mu"), var_list, & "Sign of mu") case default call write_real_data_item (u, 3, var_str ("tanb"), var_list, & "tan(beta)") end select end subroutine slha_write_MINPAR @ %def slha_write_MINPAR @ \subsubsection{Mass spectrum} Set masses. Since the particles are identified by PDG code, read the line and try to set the appropriate particle mass in the current model. At the end, update parameters, just in case the $W$ or $Z$ mass was included. <<SLHA: procedures>>= subroutine slha_handle_MASS (parse_tree, model) type(parse_tree_t), intent(in) :: parse_tree type(model_t), intent(inout), target :: model type(parse_node_t), pointer :: pn_block, pn_data, pn_line, pn_code type(parse_node_t), pointer :: pn_mass integer :: pdg real(default) :: mass pn_block => slha_get_block_ptr & (parse_tree, var_str ("MASS"), required=.true.) if (.not. (associated (pn_block))) return pn_data => parse_node_get_sub_ptr (pn_block, 4) do while (associated (pn_data)) pn_line => parse_node_get_sub_ptr (pn_data, 2) pn_code => parse_node_get_sub_ptr (pn_line) if (associated (pn_code)) then pdg = get_integer_parameter (pn_code) pn_mass => parse_node_get_next_ptr (pn_code) if (associated (pn_mass)) then mass = get_real_parameter (pn_mass) call model%set_field_mass (pdg, mass) else call msg_error ("SLHA: Block MASS: Missing mass value") end if else call msg_error ("SLHA: Block MASS: Missing PDG code") end if pn_data => parse_node_get_next_ptr (pn_data) end do end subroutine slha_handle_MASS @ %def slha_handle_MASS @ \subsubsection{Widths} Set widths. For each DECAY block, extract the header, read the PDG code and width, and try to set the appropriate particle width in the current model. <<SLHA: procedures>>= subroutine slha_handle_decays (parse_tree, model) type(parse_tree_t), intent(in) :: parse_tree type(model_t), intent(inout), target :: model type(parse_node_t), pointer :: pn_decay, pn_decay_spec, pn_code, pn_width integer :: pdg real(default) :: width pn_decay => slha_get_first_decay_ptr (parse_tree) do while (associated (pn_decay)) pn_decay_spec => parse_node_get_sub_ptr (pn_decay, 2) pn_code => parse_node_get_sub_ptr (pn_decay_spec) pdg = get_integer_parameter (pn_code) pn_width => parse_node_get_next_ptr (pn_code) width = get_real_parameter (pn_width) call model%set_field_width (pdg, width) pn_decay => slha_get_next_decay_ptr (pn_decay) end do end subroutine slha_handle_decays @ %def slha_handle_decays @ \subsubsection{Mixing matrices} Read mixing matrices. We can treat all matrices by a single procedure if we just know the block name, variable prefix, and matrix dimension. The matrix dimension must be less than 10. For the pseudoscalar Higgses in NMSSM-type models we need off-diagonal matrices, so we generalize the definition. <<SLHA: procedures>>= subroutine slha_handle_matrix_block & (parse_tree, block_name, var_prefix, dim1, dim2, model) type(parse_tree_t), intent(in) :: parse_tree character(*), intent(in) :: block_name, var_prefix integer, intent(in) :: dim1, dim2 type(model_t), intent(inout), target :: model type(parse_node_t), pointer :: pn_block type(var_list_t), pointer :: var_list integer :: i, j character(len=len(var_prefix)+2) :: var_name var_list => model%get_var_list_ptr () pn_block => slha_get_block_ptr & (parse_tree, var_str (block_name), required=.false.) if (.not. (associated (pn_block))) return do i = 1, dim1 do j = 1, dim2 write (var_name, "(A,I1,I1)") var_prefix, i, j call set_matrix_element (pn_block, i, j, var_str (var_name), var_list) end do end do end subroutine slha_handle_matrix_block @ %def slha_handle_matrix_block @ \subsubsection{Higgs data} Read the block ALPHA which holds just the Higgs mixing angle. <<SLHA: procedures>>= subroutine slha_handle_ALPHA (parse_tree, model) type(parse_tree_t), intent(in) :: parse_tree type(model_t), intent(inout), target :: model type(parse_node_t), pointer :: pn_block, pn_line, pn_data, pn_item type(var_list_t), pointer :: var_list real(default) :: al_h var_list => model%get_var_list_ptr () pn_block => slha_get_block_ptr & (parse_tree, var_str ("ALPHA"), required=.false.) if (.not. (associated (pn_block))) return pn_data => parse_node_get_sub_ptr (pn_block, 4) pn_line => parse_node_get_sub_ptr (pn_data, 2) pn_item => parse_node_get_sub_ptr (pn_line) if (associated (pn_item)) then al_h = get_real_parameter (pn_item) call var_list%set_real (var_str ("al_h"), al_h, & is_known=.true., ignore=.true.) end if end subroutine slha_handle_ALPHA @ %def slha_handle_matrix_block @ Read the block HMIX for the Higgs mixing parameters <<SLHA: procedures>>= subroutine slha_handle_HMIX (parse_tree, model) type(parse_tree_t), intent(in) :: parse_tree type(model_t), intent(inout), target :: model type(parse_node_t), pointer :: pn_block type(var_list_t), pointer :: var_list var_list => model%get_var_list_ptr () pn_block => slha_get_block_ptr & (parse_tree, var_str ("HMIX"), required=.false.) if (.not. (associated (pn_block))) return call set_data_item (pn_block, 1, var_str ("mu_h"), var_list) call set_data_item (pn_block, 2, var_str ("tanb_h"), var_list) end subroutine slha_handle_HMIX @ %def slha_handle_HMIX @ Read the block NMSSMRUN for the specific NMSSM parameters <<SLHA: procedures>>= subroutine slha_handle_NMSSMRUN (parse_tree, model) type(parse_tree_t), intent(in) :: parse_tree type(model_t), intent(inout), target :: model type(parse_node_t), pointer :: pn_block type(var_list_t), pointer :: var_list var_list => model%get_var_list_ptr () pn_block => slha_get_block_ptr & (parse_tree, var_str ("NMSSMRUN"), required=.false.) if (.not. (associated (pn_block))) return call set_data_item (pn_block, 1, var_str ("ls"), var_list) call set_data_item (pn_block, 2, var_str ("ks"), var_list) call set_data_item (pn_block, 3, var_str ("a_ls"), var_list) call set_data_item (pn_block, 4, var_str ("a_ks"), var_list) call set_data_item (pn_block, 5, var_str ("nmu"), var_list) end subroutine slha_handle_NMSSMRUN @ %def slha_handle_NMSSMRUN @ \subsection{Parsing custom SLHA files} With the introduction of UFO models, we support custom files in generic SLHA format that reset model parameters. In contrast to strict SLHA files, the order and naming of blocks is arbitrary. We scan the complete file (i.e., preprocessed parse tree), parsing all blocks that contain data lines. For each data line, we identify index array and associated value. Then we set the model parameter that is associated with that block name and index array, if it exists. <<SLHA: procedures>>= subroutine slha_handle_custom_file (parse_tree, model) type(parse_tree_t), intent(in) :: parse_tree type(model_t), intent(inout), target :: model type(parse_node_t), pointer :: pn_root, pn_block type(parse_node_t), pointer :: pn_block_spec, pn_block_name type(parse_node_t), pointer :: pn_data, pn_line, pn_code, pn_item type(string_t) :: block_name integer, dimension(:), allocatable :: block_index integer :: n_index, i real(default) :: value pn_root => parse_tree%get_root_ptr () pn_block => pn_root%get_sub_ptr () HANDLE_BLOCKS: do while (associated (pn_block)) select case (char (pn_block%get_rule_key ())) case ("block_def") call slha_handle_custom_block (pn_block, model) end select pn_block => pn_block%get_next_ptr () end do HANDLE_BLOCKS end subroutine slha_handle_custom_file @ %def slha_handle_custom_file @ <<SLHA: procedures>>= subroutine slha_handle_custom_block (pn_block, model) type(parse_node_t), intent(in), target :: pn_block type(model_t), intent(inout), target :: model type(parse_node_t), pointer :: pn_block_spec, pn_block_name type(parse_node_t), pointer :: pn_data, pn_line, pn_code, pn_item type(string_t) :: block_name integer, dimension(:), allocatable :: block_index integer :: n_index, i real(default) :: value pn_block_spec => parse_node_get_sub_ptr (pn_block, 2) pn_block_name => parse_node_get_sub_ptr (pn_block_spec) select case (char (parse_node_get_rule_key (pn_block_name))) case ("block_name") block_name = trim (adjustl (upper_case (pn_block_name%get_string ()))) case ("QNUMBERS") block_name = "QNUMBERS" end select call demangle_keywords (block_name) pn_data => pn_block%get_sub_ptr (4) HANDLE_LINES: do while (associated (pn_data)) select case (char (pn_data%get_rule_key ())) case ("block_data") pn_line => pn_data%get_sub_ptr (2) n_index = pn_line%get_n_sub () - 1 allocate (block_index (n_index)) pn_code => pn_line%get_sub_ptr () READ_LINE: do i = 1, n_index select case (char (pn_code%get_rule_key ())) case ("integer"); block_index(i) = pn_code%get_integer () case default pn_code => null () exit READ_LINE end select pn_code => pn_code%get_next_ptr () end do READ_LINE if (associated (pn_code)) then value = get_real_parameter (pn_code) call model%slha_set_par (block_name, block_index, value) end if deallocate (block_index) end select pn_data => pn_data%get_next_ptr () end do HANDLE_LINES end subroutine slha_handle_custom_block @ %def slha_handle_custom_block @ \subsection{Parser} Read a SLHA file from stream, including preprocessing, and make up a parse tree. <<SLHA: procedures>>= subroutine slha_parse_stream (stream, custom_block_name, parse_tree) type(stream_t), intent(inout), target :: stream type(string_t), dimension(:), intent(in) :: custom_block_name type(parse_tree_t), intent(out) :: parse_tree type(ifile_t) :: ifile type(lexer_t) :: lexer type(stream_t), target :: stream_tmp call slha_preprocess (stream, custom_block_name, ifile) call stream_init (stream_tmp, ifile) call lexer_init_slha (lexer) call lexer_assign_stream (lexer, stream_tmp) call parse_tree_init (parse_tree, syntax_slha, lexer) call lexer_final (lexer) call stream_final (stream_tmp) call ifile_final (ifile) end subroutine slha_parse_stream @ %def slha_parse_stream @ Read a SLHA file chosen by name. Check first the current directory, then the directory where SUSY input files should be located. The [[default_mode]] applies to unknown blocks in the SLHA file: this is either [[MODE_SKIP]] or [[MODE_DATA]], corresponding to genuine SUSY and custom file content, respectively. <<SLHA: public>>= public :: slha_parse_file <<SLHA: procedures>>= subroutine slha_parse_file (file, custom_block_name, os_data, parse_tree) type(string_t), intent(in) :: file type(string_t), dimension(:), intent(in) :: custom_block_name type(os_data_t), intent(in) :: os_data type(parse_tree_t), intent(out) :: parse_tree logical :: exist type(string_t) :: filename type(stream_t), target :: stream call msg_message ("Reading SLHA input file '" // char (file) // "'") filename = file inquire (file=char(filename), exist=exist) if (.not. exist) then filename = os_data%whizard_susypath // "/" // file inquire (file=char(filename), exist=exist) if (.not. exist) then call msg_fatal ("SLHA input file '" // char (file) // "' not found") return end if end if call stream_init (stream, char (filename)) call slha_parse_stream (stream, custom_block_name, parse_tree) call stream_final (stream) end subroutine slha_parse_file @ %def slha_parse_file @ \subsection{API} Read the SLHA file, parse it, and interpret the parse tree. The model parameters retrieved from the file will be inserted into the appropriate model, which is loaded and modified in the background. The pointer to this model is returned as the last argument. <<SLHA: public>>= public :: slha_read_file <<SLHA: procedures>>= subroutine slha_read_file & (file, os_data, model, input, spectrum, decays) type(string_t), intent(in) :: file type(os_data_t), intent(in) :: os_data type(model_t), intent(inout), target :: model logical, intent(in) :: input, spectrum, decays type(string_t), dimension(:), allocatable :: custom_block_name type(parse_tree_t) :: parse_tree call model%get_custom_slha_blocks (custom_block_name) call slha_parse_file (file, custom_block_name, os_data, parse_tree) if (associated (parse_tree%get_root_ptr ())) then call slha_interpret_parse_tree & (parse_tree, model, input, spectrum, decays) call parse_tree_final (parse_tree) call model%update_parameters () end if end subroutine slha_read_file @ %def slha_read_file @ Write the SLHA contents, as far as possible, to external file. <<SLHA: public>>= public :: slha_write_file <<SLHA: procedures>>= subroutine slha_write_file (file, model, input, spectrum, decays) type(string_t), intent(in) :: file type(model_t), target, intent(in) :: model logical, intent(in) :: input, spectrum, decays integer :: mssm_type integer :: u u = free_unit () call msg_message ("Writing SLHA output file '" // char (file) // "'") open (unit=u, file=char(file), action="write", status="replace") write (u, "(A)") "# SUSY Les Houches Accord" write (u, "(A)") "# Output generated by " // trim (VERSION_STRING) call slha_write_MODSEL (u, model, mssm_type) if (input) then call slha_write_SMINPUTS (u, model) call slha_write_MINPAR (u, model, mssm_type) end if if (spectrum) then call msg_bug ("SLHA: spectrum output not supported yet") end if if (decays) then call msg_bug ("SLHA: decays output not supported yet") end if close (u) end subroutine slha_write_file @ %def slha_write_file @ \subsection{Dispatch} <<SLHA: public>>= public :: dispatch_slha <<SLHA: procedures>>= subroutine dispatch_slha (var_list, input, spectrum, decays) type(var_list_t), intent(inout), target :: var_list logical, intent(out) :: input, spectrum, decays input = var_list%get_lval (var_str ("?slha_read_input")) spectrum = var_list%get_lval (var_str ("?slha_read_spectrum")) decays = var_list%get_lval (var_str ("?slha_read_decays")) end subroutine dispatch_slha @ %def dispatch_slha @ \subsection{Unit tests} Test module, followed by the corresponding implementation module. <<[[slha_interface_ut.f90]]>>= <<File header>> module slha_interface_ut use unit_tests use slha_interface_uti <<Standard module head>> <<SLHA: public test>> contains <<SLHA: test driver>> end module slha_interface_ut @ %def slha_interface_ut @ <<[[slha_interface_uti.f90]]>>= <<File header>> module slha_interface_uti <<Use strings>> use io_units use os_interface use parser use model_data use variables use models use slha_interface <<Standard module head>> <<SLHA: test declarations>> contains <<SLHA: tests>> end module slha_interface_uti @ %def slha_interface_ut @ API: driver for the unit tests below. <<SLHA: public test>>= public :: slha_test <<SLHA: test driver>>= subroutine slha_test (u, results) integer, intent(in) :: u type(test_results_t), intent(inout) :: results <<SLHA: execute tests>> end subroutine slha_test @ %def slha_test @ Checking the basics of the SLHA interface. <<SLHA: execute tests>>= call test (slha_1, "slha_1", & "check SLHA interface", & u, results) <<SLHA: test declarations>>= public :: slha_1 <<SLHA: tests>>= subroutine slha_1 (u) integer, intent(in) :: u type(os_data_t), pointer :: os_data => null () type(parse_tree_t), pointer :: parse_tree => null () integer :: u_file, iostat character(80) :: buffer character(*), parameter :: file_slha = "slha_test.dat" type(model_list_t) :: model_list type(model_t), pointer :: model => null () type(string_t), dimension(0) :: empty_string_array write (u, "(A)") "* Test output: SLHA Interface" write (u, "(A)") "* Purpose: test SLHA file reading and writing" write (u, "(A)") write (u, "(A)") "* Initializing" write (u, "(A)") allocate (os_data) allocate (parse_tree) call os_data%init () call syntax_model_file_init () call model_list%read_model & (var_str("MSSM"), var_str("MSSM.mdl"), os_data, model) call syntax_slha_init () write (u, "(A)") "* Reading SLHA file sps1ap_decays.slha" write (u, "(A)") call slha_parse_file (var_str ("sps1ap_decays.slha"), & empty_string_array, os_data, parse_tree) write (u, "(A)") "* Writing the parse tree:" write (u, "(A)") call parse_tree_write (parse_tree, u) write (u, "(A)") "* Interpreting the parse tree" write (u, "(A)") call slha_interpret_parse_tree (parse_tree, model, & input=.true., spectrum=.true., decays=.true.) call parse_tree_final (parse_tree) write (u, "(A)") "* Writing out the list of variables (reals only):" write (u, "(A)") call var_list_write (model%get_var_list_ptr (), & only_type = V_REAL, unit = u) write (u, "(A)") write (u, "(A)") "* Writing SLHA output to '" // file_slha // "'" write (u, "(A)") call slha_write_file (var_str (file_slha), model, input=.true., & spectrum=.false., decays=.false.) u_file = free_unit () open (u_file, file = file_slha, action = "read", status = "old") do read (u_file, "(A)", iostat = iostat) buffer if (buffer(1:37) == "# Output generated by WHIZARD version") then buffer = "[...]" end if if (iostat /= 0) exit write (u, "(A)") trim (buffer) end do close (u_file) write (u, "(A)") write (u, "(A)") "* Cleanup" write (u, "(A)") call parse_tree_final (parse_tree) deallocate (parse_tree) deallocate (os_data) write (u, "(A)") "* Test output end: slha_1" write (u, "(A)") end subroutine slha_1 @ %def slha_1 @ \subsubsection{SLHA interface} This rather trivial sets all input values for the SLHA interface to [[false]]. <<SLHA: execute tests>>= call test (slha_2, "slha_2", & "SLHA interface", & u, results) <<SLHA: test declarations>>= public :: slha_2 <<SLHA: tests>>= subroutine slha_2 (u) integer, intent(in) :: u type(var_list_t) :: var_list logical :: input, spectrum, decays write (u, "(A)") "* Test output: slha_2" write (u, "(A)") "* Purpose: SLHA interface settings" write (u, "(A)") write (u, "(A)") "* Default settings" write (u, "(A)") call var_list%init_defaults (0) call dispatch_slha (var_list, & input = input, spectrum = spectrum, decays = decays) write (u, "(A,1x,L1)") " slha_read_input =", input write (u, "(A,1x,L1)") " slha_read_spectrum =", spectrum write (u, "(A,1x,L1)") " slha_read_decays =", decays call var_list%final () call var_list%init_defaults (0) write (u, "(A)") write (u, "(A)") "* Set all entries to [false]" write (u, "(A)") call var_list%set_log (var_str ("?slha_read_input"), & .false., is_known = .true.) call var_list%set_log (var_str ("?slha_read_spectrum"), & .false., is_known = .true.) call var_list%set_log (var_str ("?slha_read_decays"), & .false., is_known = .true.) call dispatch_slha (var_list, & input = input, spectrum = spectrum, decays = decays) write (u, "(A,1x,L1)") " slha_read_input =", input write (u, "(A,1x,L1)") " slha_read_spectrum =", spectrum write (u, "(A,1x,L1)") " slha_read_decays =", decays call var_list%final () write (u, "(A)") write (u, "(A)") "* Test output end: slha_2" end subroutine slha_2 @ %def slha_2