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matrix operations for CLP(BN) discrete distributions.

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git-svn-id: https://yap.svn.sf.net/svnroot/yap/trunk@2023 b08c6af1-5177-4d33-ba66-4b1c6b8b522a
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vsc 2007-11-16 15:00:56 +00:00
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CLPBN/clpbn/matrix_cpt_utils.yap Normal file
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:- module(clpbn_matrix_utils, [init_CPT/2,
project_from_CPT/3,
reorder_CPT/5,
get_dist_size/2,
normalise_CPT/2,
multiply_CPTs/3,
list_from_CPT/2]).
:- use_module(dists, [get_dist_domain_size/2,
get_dist_domain/2]).
:- use_module(library(matrix), [matrix_new/4,
matrix_select/4,
matrix_dims/2,
matrix_shuffle/3,
matrix_expand/3,
matrix_op/4,
matrix_dims/2,
matrix_sum/2,
matrix_sum_out/3,
matrix_op_to_all/4,
matrix_to_list/2]).
:- use_module(library(lists), [nth0/3]).
init_CPT(List, Sizes, TAB) :-
matrix_new(floats, Sizes, List, TAB).
project_from_CPT(V,tab(Table,Deps,_),tab(NewTable,NDeps,NSzs)) :-
evidence(V,Pos), !,
vnth(Deps, 0, V, N, NDeps),
matrix_select(Table, N, Pos, NewTable),
matrix_dims(NewTable, NSzs).
project_from_CPT(V,tab(Table,Deps,_),tab(NewTable,NDeps,NSzs)) :-
vnth(Deps, 0, V, N, NDeps),
matrix_sum_out(Table, N, NewTable),
matrix_dims(NewTable, NSzs).
evidence(V, Pos) :-
clpbn:get_atts(V, [evidence(Ev),dist(Id,_)]),
get_dist_domain(Id, Dom),
nth0(Pos, Dom, Ev).
vnth([V1|Deps], N, V, N, Deps) :-
V == V1, !.
vnth([V1|Deps], N0, V, N, [V1|NDeps]) :-
N1 is N0+1,
vnth(Deps, N1, V, N, NDeps).
reorder_CPT(Vs0,T0,Vs,TF,Sizes) :-
var(Vs), !,
order_vec(Vs0,Vs,Map),
matrix_to_list(T0,_),
matrix_shuffle(T0,Map,TF),
matrix_dims(TF, Sizes).
reorder_CPT(Vs0,T0,Vs,TF,Sizes) :-
mapping(Vs0,Vs,Map),
matrix_shuffle(T0,Map,TF),
matrix_dims(TF, Sizes).
order_vec(Vs0,Vs,Map) :-
add_indices(Vs0,0,Is),
keysort(Is,NIs),
get_els(NIs, Vs, Map).
add_indices([],_,[]).
add_indices([V|Vs0],I0,[V-I0|Is]) :-
I is I0+1,
add_indices(Vs0,I,Is).
get_els([], [], []).
get_els([V-I|NIs], [V|Vs], [I|Map]) :-
get_els(NIs, Vs, Map).
mapping(Vs0,Vs,Map) :-
add_indices(Vs0,0,I1s),
add_indices( Vs,I2s),
keysort(I1s,Ks),
keysort(I2s,Ks),
split_map(I2s, Map).
add_indices([],[]).
add_indices([V|Vs0],[V-_|I1s]) :-
add_indices(Vs0,I1s).
split_map([], []).
split_map([_-M|Is], [M|Map]) :-
split_map(Is, Map).
multiply_CPTs(tab(Tab1, Deps1, Sz1), tab(Tab2, Deps2, Sz2), tab(OT, NDeps, NSz)) :-
expand_tabs(Deps1, Sz1, Deps2, Sz2, Map1, Map2, NDeps),
matrix_expand(Tab1, Map1, NTab1),
matrix_expand(Tab2, Map2, NTab2),
matrix_op(NTab1,NTab2,*,OT),
matrix_dims(OT,NSz).
expand_tabs([], [], [], [], [], [], []).
expand_tabs([V1|Deps1], [S1|Sz1], [], [], [0|Map1], [S1|Map2], [V1|NDeps]) :-
expand_tabs(Deps1, Sz1, [], [], Map1, Map2, NDeps).
expand_tabs([], [], [V2|Deps2], [S2|Sz2], [S2|Map1], [0|Map2], [V2|NDeps]) :-
expand_tabs([], [], Deps2, Sz2, Map1, Map2, NDeps).
expand_tabs([V1|Deps1], [S1|Sz1], [V2|Deps2], [S2|Sz2], Map1, Map2, NDeps) :-
compare(C,V1,V2),
(C == = ->
NDeps = [V1|MDeps],
Map1 = [0|M1],
Map2 = [0|M2],
NDeps = [V1|MDeps],
expand_tabs(Deps1, Sz1, Deps2, Sz2, M1, M2, MDeps)
;
C == < ->
NDeps = [V1|MDeps],
Map1 = [0|M1],
Map2 = [S1|M2],
NDeps = [V1|MDeps],
expand_tabs(Deps1, Sz1, [V2|Deps2], [S2|Sz2], M1, M2, MDeps)
;
NDeps = [V2|MDeps],
Map1 = [S2|M1],
Map2 = [0|M2],
NDeps = [V2|MDeps],
expand_tabs([V1|Deps1], [S1|Sz1], Deps2, Sz2, M1, M2, MDeps)
).
normalise_CPT(MAT,NMAT) :-
matrix_sum(MAT, Sum),
matrix_op_to_all(MAT,/,Sum,NMAT).
list_from_CPT(MAT, List) :-
matrix_to_list(MAT, List).