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    1/*  Part of SWI-Prolog
    2
    3    Author:        Jan Wielemaker
    4    E-mail:        J.Wielemaker@vu.nl
    5    WWW:           http://www.swi-prolog.org
    6    Copyright (c)  2015, VU University Amsterdam
    7    All rights reserved.
    8
    9    Redistribution and use in source and binary forms, with or without
   10    modification, are permitted provided that the following conditions
   11    are met:
   12
   13    1. Redistributions of source code must retain the above copyright
   14       notice, this list of conditions and the following disclaimer.
   15
   16    2. Redistributions in binary form must reproduce the above copyright
   17       notice, this list of conditions and the following disclaimer in
   18       the documentation and/or other materials provided with the
   19       distribution.
   20
   21    THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
   22    "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
   23    LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
   24    FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
   25    COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
   26    INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
   27    BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
   28    LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
   29    CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
   30    LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
   31    ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
   32    POSSIBILITY OF SUCH DAMAGE.
   33*/
   34
   35:- module(dicts,
   36          [ dicts_same_tag/2,           % +List, -Tag
   37            dict_keys/2,                % +Dict, -Keys
   38            dicts_same_keys/2,          % +DictList, -Keys
   39            dicts_to_same_keys/3,       % +DictsIn, :OnEmpty, -DictsOut
   40            dict_fill/4,                % +Value, +Key, +Dict, -Value
   41            dict_no_fill/3,             % +Key, +Dict, -Value
   42            dicts_join/3,               % +Key, +DictsIn, -Dicts
   43            dicts_join/4,               % +Key, +Dicts1, +Dicts2, -Dicts
   44            dicts_slice/3,              % +Keys, +DictsIn, -DictsOut
   45            dicts_to_compounds/4        % ?Dicts, +Keys, :OnEmpty, ?Compounds
   46          ]).   47:- autoload(library(apply),[maplist/2,maplist/3]).   48:- autoload(library(lists),[append/2,append/3]).   49:- autoload(library(ordsets),[ord_subtract/3]).   50:- autoload(library(pairs),[pairs_keys/2,pairs_keys_values/3]).   51
   52
   53:- meta_predicate
   54    dicts_to_same_keys(+,3,-),
   55    dicts_to_compounds(?,+,3,?).   56
   57/** <module> Dict utilities
   58
   59This library defines utilities that operate   on lists of dicts, notably
   60to make lists of dicts  consistent   by  adding missing keys, converting
   61between lists of compounds and lists of dicts, joining and slicing lists
   62of dicts.
   63*/
   64
   65%!  dicts_same_tag(+List, -Tag) is semidet.
   66%
   67%   True when List is a list of dicts that all have the tag Tag.
   68
   69dicts_same_tag(List, Tag) :-
   70    maplist(keys_tag(Tag), List).
   71
   72keys_tag(Tag, Dict) :-
   73    is_dict(Dict, Tag).
   74
   75%!  dict_keys(+Dict, -Keys) is det.
   76%
   77%   True when Keys is an ordered set of the keys appearing in Dict.
   78
   79dict_keys(Dict, Keys) :-
   80    dict_pairs(Dict, _Tag, Pairs),
   81    pairs_keys(Pairs, Keys).
   82
   83
   84%!  dicts_same_keys(+List, -Keys) is semidet.
   85%
   86%   True if List is a list of dicts  that all have the same keys and
   87%   Keys is an ordered set of these keys.
   88
   89dicts_same_keys(List, Keys) :-
   90    maplist(keys_dict(Keys), List).
   91
   92keys_dict(Keys, Dict) :-
   93    dict_keys(Dict, Keys).
   94
   95%!  dicts_to_same_keys(+DictsIn, :OnEmpty, -DictsOut)
   96%
   97%   DictsOut is a copy of DictsIn, where each dict contains all keys
   98%   appearing in all dicts of  DictsIn.   Values  for  keys that are
   99%   added to a dict are produced by   calling  OnEmpty as below. The
  100%   predicate dict_fill/4 provides an implementation  that fills all
  101%   new cells with a predefined value.
  102%
  103%     ==
  104%     call(:OnEmpty, +Key, +Dict, -Value)
  105%     ==
  106
  107dicts_to_same_keys(Dicts, _, Table) :-
  108    dicts_same_keys(Dicts, _),
  109    !,
  110    Table = Dicts.
  111dicts_to_same_keys(Dicts, OnEmpty, Table) :-
  112    maplist(dict_keys, Dicts, KeysList),
  113    append(KeysList, Keys0),
  114    sort(Keys0, Keys),
  115    maplist(extend_dict(Keys, OnEmpty), Dicts, Table).
  116
  117extend_dict(Keys, OnEmpty, Dict0, Dict) :-
  118    dict_pairs(Dict0, Tag, Pairs),
  119    pairs_keys(Pairs, DictKeys),
  120    ord_subtract(Keys, DictKeys, Missing),
  121    (   Missing == []
  122    ->  Dict = Dict0
  123    ;   maplist(key_value_pair(Dict0, OnEmpty), Missing, NewPairs),
  124        append(NewPairs, Pairs, AllPairs),
  125        dict_pairs(Dict, Tag, AllPairs)
  126    ).
  127
  128key_value_pair(Dict, OnEmpty, Key, Key-Value) :-
  129    call(OnEmpty, Key, Dict, Value).
  130
  131%!  dict_fill(+ValueIn, +Key, +Dict, -Value) is det.
  132%
  133%   Implementation for the dicts_to_same_keys/3   `OnEmpty`  closure
  134%   that  fills  new  cells  with  a  copy  of  ValueIn.  Note  that
  135%   copy_term/2 does not really copy  ground   terms.  Below are two
  136%   examples. Note that when filling empty   cells  with a variable,
  137%   each empty cell is bound to a new variable.
  138%
  139%     ==
  140%     ?- dicts_to_same_keys([r{x:1}, r{y:2}], dict_fill(null), L).
  141%     L = [r{x:1, y:null}, r{x:null, y:2}].
  142%     ?- dicts_to_same_keys([r{x:1}, r{y:2}], dict_fill(_), L).
  143%     L = [r{x:1, y:_G2005}, r{x:_G2036, y:2}].
  144%     ==
  145%
  146%   Use dict_no_fill/3 to raise an error if a dict is missing a key.
  147
  148dict_fill(ValueIn, _, _, Value) :-
  149    copy_term(ValueIn, Value).
  150
  151%!  dict_no_fill is det.
  152%
  153%   Can be used instead of dict_fill/4 to raise an exception if some
  154%   dict is missing a key.
  155
  156dict_no_fill(Key, Dict, Value) :-
  157    Value = Dict.Key.
  158
  159%!  dicts_join(+Key, +DictsIn, -Dicts) is semidet.
  160%
  161%   Join dicts in Dicts that have the   same value for Key, provided
  162%   they do not have conflicting values on other keys.  For example:
  163%
  164%   ==
  165%   ?- dicts_join(x, [r{x:1, y:2}, r{x:1, z:3}, r{x:2,y:4}], L).
  166%   L = [r{x:1, y:2, z:3}, r{x:2, y:4}].
  167%   ==
  168%
  169%   @error  existence_error(key, Key, Dict) if a dict in Dicts1
  170%           or Dicts2 does not contain Key.
  171
  172dicts_join(Join, Dicts0, Dicts) :-
  173    sort(Join, @=<, Dicts0, Dicts1),
  174    join(Dicts1, Join, Dicts).
  175
  176join([], _, []) :- !.
  177join([H0|T0], Key, [H|T]) :-
  178    !,
  179    get_dict(Key, H0, V0),
  180    join_same(T0, Key, V0, H0, H, T1),
  181    join(T1, Key, T).
  182join([One], _, [One]) :- !.
  183
  184join_same([H|T0], Key, V0, D0, D, T) :-
  185    get_dict(Key, H, V),
  186    V == V0,
  187    !,
  188    D0 >:< H,
  189    put_dict(H, D0, D1),
  190    join_same(T0, Key, V0, D1, D, T).
  191join_same(DL, _, _, D, D, DL).
  192
  193%!  dicts_join(+Key, +Dicts1, +Dicts2, -Dicts) is semidet.
  194%
  195%   Join two lists of dicts (Dicts1 and   Dicts2)  on Key. Each pair
  196%   D1-D2 from Dicts1 and Dicts2 that have   the same (==) value for
  197%   Key creates a new dict D with the  union of the keys from D1 and
  198%   D2, provided D1 and D2 to not   have conflicting values for some
  199%   key.  For example:
  200%
  201%     ==
  202%     ?- DL1 = [r{x:1,y:1},r{x:2,y:4}],
  203%        DL2 = [r{x:1,z:2},r{x:3,z:4}],
  204%        dicts_join(x, DL1, DL2, DL).
  205%        DL = [r{x:1, y:1, z:2}, r{x:2, y:4}, r{x:3, z:4}].
  206%     ==
  207%
  208%   @error  existence_error(key, Key, Dict) if a dict in Dicts1
  209%           or Dicts2 does not contain Key.
  210
  211dicts_join(Join, Dicts1, Dicts2, Dicts) :-
  212    sort(Join, @=<, Dicts1, Dicts11),
  213    sort(Join, @=<, Dicts2, Dicts21),
  214    join(Dicts11, Dicts21, Join, Dicts).
  215
  216join([], [], _, []) :- !.
  217join([D1|T1], [D2|T2], Join, [DNew|MoreDicts]) :-
  218    !,
  219    get_dict(Join, D1, K1),
  220    get_dict(Join, D2, K2),
  221    compare(Diff, K1, K2),
  222    (   Diff == (=)
  223    ->  D1 >:< D2,
  224        put_dict(D1, D2, DNew),
  225        join(T1, T2, Join, MoreDicts)
  226    ;   Diff == (<)
  227    ->  DNew = D1,
  228        join(T1, [D2|T2], Join, MoreDicts)
  229    ;   DNew = D2,
  230        join([D1|T1], T2, Join, MoreDicts)
  231    ).
  232join([], Dicts, _, Dicts) :- !.
  233join(Dicts, [], _, Dicts).
  234
  235
  236%!  dicts_slice(+Keys, +DictsIn, -DictsOut) is det.
  237%
  238%   DictsOut is a list of Dicts only containing values for Keys.
  239
  240dicts_slice(Keys, DictsIn, DictsOut) :-
  241    sort(Keys, SortedKeys),
  242    maplist(dict_slice(SortedKeys), DictsIn, DictsOut).
  243
  244dict_slice(Keys, DictIn, DictOut) :-
  245    dict_pairs(DictIn, Tag, PairsIn),
  246    slice_pairs(Keys, PairsIn, PairsOut),
  247    dict_pairs(DictOut, Tag, PairsOut).
  248
  249slice_pairs([], _, []) :- !.
  250slice_pairs(_, [], []) :- !.
  251slice_pairs([H|T0], [P|PL], Pairs) :-
  252    P = K-_,
  253    compare(D, H, K),
  254    (   D == (=)
  255    ->  Pairs = [P|More],
  256        slice_pairs(T0, PL, More)
  257    ;   D == (<)
  258    ->  slice_pairs(T0, [P|PL], Pairs)
  259    ;   slice_pairs([H|T0], PL, Pairs)
  260    ).
  261
  262%!  dicts_to_compounds(?Dicts, +Keys, :OnEmpty, ?Compounds) is semidet.
  263%
  264%   True when Dicts and Compounds are lists   of the same length and
  265%   each element of Compounds is  a   compound  term whose arguments
  266%   represent the values associated with   the corresponding keys in
  267%   Keys. When converting from  dict  to   row,  OnEmpty  is used to
  268%   compute missing values. The functor for the compound is the same
  269%   as the tag of the pair. When converting from dict to row and the
  270%   dict has no tag, the functor `row` is used. For example:
  271%
  272%     ==
  273%     ?- Dicts = [_{x:1}, _{x:2, y:3}],
  274%        dicts_to_compounds(Dicts, [x], dict_fill(null), Compounds).
  275%     Compounds = [row(1), row(2)].
  276%     ?- Dicts = [_{x:1}, _{x:2, y:3}],
  277%        dicts_to_compounds(Dicts, [x,y], dict_fill(null), Compounds).
  278%     Compounds = [row(1, null), row(2, 3)].
  279%     ?- Compounds = [point(1,1), point(2,4)],
  280%        dicts_to_compounds(Dicts, [x,y], dict_fill(null), Compounds).
  281%     Dicts = [point{x:1, y:1}, point{x:2, y:4}].
  282%     ==
  283%
  284%   When converting from Dicts to  Compounds   Keys  may be computed by
  285%   dicts_same_keys/2.
  286
  287dicts_to_compounds(Dicts, Keys, OnEmpty, Compounds) :-
  288    maplist(dict_to_compound(Keys, OnEmpty), Dicts, Compounds).
  289
  290dict_to_compound(Keys, OnEmpty, Dict, Row) :-
  291    is_dict(Dict, Tag),
  292    !,
  293    default_tag(Tag, row),
  294    maplist(key_value(Dict, OnEmpty), Keys, Values),
  295    compound_name_arguments(Row, Tag, Values).
  296dict_to_compound(Keys, _, Dict, Row) :-
  297    compound(Row),
  298    compound_name_arguments(Row, Tag, Values),
  299    pairs_keys_values(Pairs, Keys, Values),
  300    dict_pairs(Dict, Tag, Pairs).
  301
  302default_tag(Tag, Tag) :- !.
  303default_tag(_, _).
  304
  305key_value(Dict, OnEmpty, Key, Value) :-
  306    (   get_dict(Key, Dict, Value0)
  307    ->  Value = Value0
  308    ;   call(OnEmpty, Key, Dict, Value)
  309    )