295 lines
7.2 KiB
Prolog
295 lines
7.2 KiB
Prolog
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:- module(clpbn_matrix_utils,
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[init_CPT/3,
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project_from_CPT/3,
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sum_out_from_CPT/5,
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project_from_CPT/6,
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reorder_CPT/5,
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get_CPT_sizes/2,
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normalise_CPT/2,
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multiply_CPTs/4,
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multiply_CPTs/6,
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divide_CPTs/3,
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expand_CPT/4,
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reset_CPT_that_disagrees/5,
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unit_CPT/2,
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sum_out_from_CPT/4,
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list_from_CPT/2,
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multiply_factors/3,
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normalise_possibly_deterministic_CPT/2,
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column_from_possibly_deterministic_CPT/3,
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multiply_possibly_deterministic_factors/3,
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random_CPT/2,
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uniform_CPT/2,
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uniform_CPT_as_list/2,
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normalise_CPT_on_lines/3
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]).
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:- use_module(library(matrix),
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[matrix_new/4,
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matrix_new_set/4,
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matrix_select/4,
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matrix_dims/2,
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matrix_size/2,
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matrix_shuffle/3,
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matrix_expand/3,
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matrix_op/4,
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matrix_dims/2,
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matrix_sum/2,
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matrix_sum_logs_out/3,
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matrix_sum_out/3,
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matrix_sum_logs_out_several/3,
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matrix_op_to_all/4,
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matrix_to_exps2/1,
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matrix_to_logs/1,
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matrix_set_all_that_disagree/5,
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matrix_to_list/2,
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matrix_agg_lines/3,
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matrix_agg_cols/3,
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matrix_op_to_lines/4,
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matrix_column/3
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]).
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init_CPT(List, Sizes, TAB) :-
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matrix_new(floats, Sizes, List, TAB),
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matrix_to_logs(TAB).
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init_possibly_deterministic_CPT(List, Sizes, TAB) :-
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matrix_new(floats, Sizes, List, TAB).
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%
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% select elements of matrix Table such that V=Pos
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%
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project_from_CPT(V, Pos, Table, Deps, NewTable, NDeps) :-
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vnth(Deps, 0, V, N, NDeps),
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matrix_select(Table, N, Pos, NewTable).
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%
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% sum-out varibale V from Table
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%
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sum_out_from_CPT(V, Table, Deps, NewTable, NDeps) :-
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vnth(Deps, 0, V, N, NDeps),
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matrix_sum_logs_out(Table, N, NewTable).
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project_from_CPT(V,tab(Table,Deps,_),tab(NewTable,NDeps,NSzs)) :-
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evidence(V,Pos), !,
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vnth(Deps, 0, V, N, NDeps),
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matrix_select(Table, N, Pos, NewTable),
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matrix_dims(NewTable, NSzs).
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project_from_CPT(V,tab(Table,Deps,_),tab(NewTable,NDeps,NSzs)) :-
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vnth(Deps, 0, V, N, NDeps),
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% matrix_to_exps2(Table),
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matrix_sum_logs_out(Table, N, NewTable),
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% matrix_to_logs(NewTable),
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matrix_dims(NewTable, NSzs).
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evidence(V, Pos) :-
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clpbn:get_atts(V, [evidence(Pos)]).
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vnth([V1|Deps], N, V, N, Deps) :-
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V == V1, !.
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vnth([V1|Deps], N0, V, N, [V1|NDeps]) :-
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N1 is N0+1,
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vnth(Deps, N1, V, N, NDeps).
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reorder_CPT(Vs0,T0,Vs,TF,Sizes) :-
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var(Vs), !,
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order_vec(Vs0,Vs,Map),
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(
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Vs == Vs0
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->
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TF = T0
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;
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matrix_shuffle(T0,Map,TF)
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),
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matrix_dims(TF, Sizes).
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reorder_CPT(Vs0,T0,Vs,TF,Sizes) :-
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mapping(Vs0,Vs,Map),
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(
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Vs == Vs0
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->
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TF = T0
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;
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matrix_shuffle(T0,Map,TF)
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),
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matrix_dims(TF, Sizes).
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order_vec(Vs0,Vs,Map) :-
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add_indices(Vs0,0,Is),
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keysort(Is,NIs),
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get_els(NIs, Vs, Map).
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add_indices([],_,[]).
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add_indices([V|Vs0],I0,[V-I0|Is]) :-
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I is I0+1,
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add_indices(Vs0,I,Is).
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get_els([], [], []).
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get_els([V-I|NIs], [V|Vs], [I|Map]) :-
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get_els(NIs, Vs, Map).
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mapping(Vs0,Vs,Map) :-
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add_indices(Vs0,0,I1s),
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add_indices( Vs,I2s),
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keysort(I1s,Ks),
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keysort(I2s,Ks),
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split_map(I2s, Map).
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add_indices([],[]).
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add_indices([V|Vs0],[V-_|I1s]) :-
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add_indices(Vs0,I1s).
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split_map([], []).
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split_map([_-M|Is], [M|Map]) :-
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split_map(Is, Map).
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divide_CPTs(Tab1, Tab2, OT) :-
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matrix_op(Tab1,Tab2,-,OT).
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multiply_CPTs(tab(Tab1, Deps1, Sz1), tab(Tab2, Deps2, Sz2), tab(OT, NDeps, NSz), NTab2) :-
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expand_tabs(Deps1, Sz1, Deps2, Sz2, Map1, Map2, NDeps),
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matrix_expand_compact(Tab1, Map1, NTab1),
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matrix_expand_compact(Tab2, Map2, NTab2),
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matrix_op(NTab1,NTab2,+,OT),
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matrix_dims(OT,NSz).
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multiply_CPTs(Tab1, Deps1, Tab2, Deps2, OT, NDeps) :-
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matrix_dims(Tab1, Sz1),
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matrix_dims(Tab2, Sz2),
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expand_tabs(Deps1, Sz1, Deps2, Sz2, Map1, Map2, NDeps),
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matrix_expand_compact(Tab1, Map1, NTab1),
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matrix_expand_compact(Tab2, Map2, NTab2),
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matrix_op(NTab1,NTab2,+,OT).
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expand_tabs([], [], [], [], [], [], []).
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expand_tabs([V1|Deps1], [S1|Sz1], [], [], [0|Map1], [S1|Map2], [V1|NDeps]) :-
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expand_tabs(Deps1, Sz1, [], [], Map1, Map2, NDeps).
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expand_tabs([], [], [V2|Deps2], [S2|Sz2], [S2|Map1], [0|Map2], [V2|NDeps]) :-
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expand_tabs([], [], Deps2, Sz2, Map1, Map2, NDeps).
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expand_tabs([V1|Deps1], [S1|Sz1], [V2|Deps2], [S2|Sz2], Map1, Map2, NDeps) :-
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compare(C,V1,V2),
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(C == = ->
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NDeps = [V1|MDeps],
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Map1 = [0|M1],
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Map2 = [0|M2],
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NDeps = [V1|MDeps],
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expand_tabs(Deps1, Sz1, Deps2, Sz2, M1, M2, MDeps)
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;
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C == < ->
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NDeps = [V1|MDeps],
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Map1 = [0|M1],
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Map2 = [S1|M2],
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NDeps = [V1|MDeps],
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expand_tabs(Deps1, Sz1, [V2|Deps2], [S2|Sz2], M1, M2, MDeps)
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;
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NDeps = [V2|MDeps],
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Map1 = [S2|M1],
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Map2 = [0|M2],
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NDeps = [V2|MDeps],
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expand_tabs([V1|Deps1], [S1|Sz1], Deps2, Sz2, M1, M2, MDeps)
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).
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normalise_CPT(MAT,NMAT) :-
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matrix_to_exps2(MAT),
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matrix_sum(MAT, Sum),
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matrix_op_to_all(MAT, /, Sum, NMAT).
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list_from_CPT(MAT, List) :-
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matrix_to_list(MAT, List).
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expand_CPT(MAT0, Dims0, DimsNew, MAT) :-
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generate_map(DimsNew, Dims0, Map),
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matrix_expand(MAT0, Map, MAT).
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generate_map([], [], []).
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generate_map([V|DimsNew], [V0|Dims0], [0|Map]) :- V == V0, !,
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generate_map(DimsNew, Dims0, Map).
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generate_map([V|DimsNew], Dims0, [Sz|Map]) :-
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clpbn:get_atts(V, [dist(Id,_)]),
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clpbn_dist:get_dist_domain_size(Id, Sz),
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generate_map(DimsNew, Dims0, Map).
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unit_CPT(V,CPT) :-
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clpbn:get_atts(V, [dist(Id,_)]),
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clpbn_dist:get_dist_domain_size(Id, Sz),
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matrix_new_set(floats,[Sz],1.0,CPT).
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reset_CPT_that_disagrees(CPT, Vars, V, Pos, NCPT) :-
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vnth(Vars, 0, V, Dim, _),
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matrix_set_all_that_disagree(CPT, Dim, Pos, -inf, NCPT).
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sum_out_from_CPT(Vs,Table,Deps,tab(NewTable,Vs,Sz)) :-
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conversion_matrix(Vs, Deps, Conv),
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matrix_sum_logs_out_several(Table, Conv, NewTable),
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matrix_dims(NewTable, Sz).
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conversion_matrix([], [], []).
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conversion_matrix([], [_|Deps], [1|Conv]) :-
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conversion_matrix([], Deps, Conv).
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conversion_matrix([V|Vs], [V1|Deps], [0|Conv]) :- V==V1, !,
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conversion_matrix(Vs, Deps, Conv).
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conversion_matrix([V|Vs], [_|Deps], [1|Conv]) :-
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conversion_matrix([V|Vs], Deps, Conv).
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get_CPT_sizes(CPT, Sizes) :-
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matrix_dims(CPT, Sizes).
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matrix_expand_compact(M0,Zeros,M0) :-
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zero_map(Zeros), !.
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matrix_expand_compact(M0,Map,M) :-
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matrix_expand(M0, Map, M).
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zero_map([]).
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zero_map([0|Zeros]) :-
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zero_map(Zeros).
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col_from_CPT(CPT, Parents, Column) :-
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matrix_col(CPT, Parents, Column),
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matrix_to_logs(Column).
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column_from_possibly_deterministic_CPT(CPT, Parents, Column) :-
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matrix_column(CPT, Parents, Column).
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multiply_factors(F1, F2, F) :-
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matrix_op(F1,F2,+,F).
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multiply_possibly_deterministic_factors(F1, F2, F) :-
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matrix_op(F1,F2,*,F).
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normalise_possibly_deterministic_CPT(MAT,NMAT) :-
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matrix_agg_lines(MAT, +, Sum),
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matrix_op_to_lines(MAT, Sum, /, NMAT).
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random_CPT(Dims, M) :-
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mult_all(Dims,1,Size),
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generate_random_entries(Size, Randoms),
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matrix_new(floats, Dims, Randoms, M1),
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normalise_possibly_deterministic_CPT(M1, M).
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mult_all([],Size,Size).
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mult_all([D|Dims],Size0,Size) :-
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Size1 is Size0*D,
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mult_all(Dims,Size1,Size).
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generate_random_entries(0, []) :- !.
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generate_random_entries(Size, [R|Randoms]) :-
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R is random,
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Size1 is Size-1,
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generate_random_entries(Size1, Randoms).
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uniform_CPT_as_list(Dims, L) :-
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uniform_CPT(Dims, M),
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matrix_to_list(M, L).
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uniform_CPT(Dims, M) :-
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matrix_new_set(floats,Dims,1.0,M1),
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normalise_possibly_deterministic_CPT(M1, M).
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normalise_CPT_on_lines(MAT0, MAT2, L1) :-
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matrix_agg_cols(MAT0, +, MAT1),
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matrix_sum(MAT1, SUM),
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matrix_op_to_all(MAT1, /, SUM, MAT2),
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matrix:matrix_to_list(MAT2,L1).
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