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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:- use_module(library(apply)).   48:- use_module(library(pairs)).   49:- use_module(library(lists)).   50:- use_module(library(ordsets)).   51
   52:- meta_predicate
   53    dicts_to_same_keys(+,3,-),
   54    dicts_to_compounds(?,+,3,?).   55
   56/** <module> Dict utilities
   57
   58This library defines utilities that operate   on lists of dicts, notably
   59to make lists of dicts  consistent   by  adding missing keys, converting
   60between lists of compounds and lists of dicts, joining and slicing lists
   61of dicts.
   62*/
   63
   64%!  dicts_same_tag(+List, -Tag) is semidet.
   65%
   66%   True when List is a list of dicts that all have the tag Tag.
   67
   68dicts_same_tag(List, Tag) :-
   69    maplist(keys_tag(Tag), List).
   70
   71keys_tag(Tag, Dict) :-
   72    is_dict(Dict, Tag).
   73
   74%!  dict_keys(+Dict, -Keys) is det.
   75%
   76%   True when Keys is an ordered set of the keys appearing in Dict.
   77
   78dict_keys(Dict, Keys) :-
   79    dict_pairs(Dict, _Tag, Pairs),
   80    pairs_keys(Pairs, Keys).
   81
   82
   83%!  dicts_same_keys(+List, -Keys) is semidet.
   84%
   85%   True if List is a list of dicts  that all have the same keys and
   86%   Keys is an ordered set of these keys.
   87
   88dicts_same_keys(List, Keys) :-
   89    maplist(keys_dict(Keys), List).
   90
   91keys_dict(Keys, Dict) :-
   92    dict_keys(Dict, Keys).
   93
   94%!  dicts_to_same_keys(+DictsIn, :OnEmpty, -DictsOut)
   95%
   96%   DictsOut is a copy of DictsIn, where each dict contains all keys
   97%   appearing in all dicts of  DictsIn.   Values  for  keys that are
   98%   added to a dict are produced by   calling  OnEmpty as below. The
   99%   predicate dict_fill/4 provides an implementation  that fills all
  100%   new cells with a predefined value.
  101%
  102%     ==
  103%     call(:OnEmpty, +Key, +Dict, -Value)
  104%     ==
  105
  106dicts_to_same_keys(Dicts, _, Table) :-
  107    dicts_same_keys(Dicts, _),
  108    !,
  109    Table = Dicts.
  110dicts_to_same_keys(Dicts, OnEmpty, Table) :-
  111    maplist(dict_keys, Dicts, KeysList),
  112    append(KeysList, Keys0),
  113    sort(Keys0, Keys),
  114    maplist(extend_dict(Keys, OnEmpty), Dicts, Table).
  115
  116extend_dict(Keys, OnEmpty, Dict0, Dict) :-
  117    dict_pairs(Dict0, Tag, Pairs),
  118    pairs_keys(Pairs, DictKeys),
  119    ord_subtract(Keys, DictKeys, Missing),
  120    (   Missing == []
  121    ->  Dict = Dict0
  122    ;   maplist(key_value_pair(Dict0, OnEmpty), Missing, NewPairs),
  123        append(NewPairs, Pairs, AllPairs),
  124        dict_pairs(Dict, Tag, AllPairs)
  125    ).
  126
  127key_value_pair(Dict, OnEmpty, Key, Key-Value) :-
  128    call(OnEmpty, Key, Dict, Value).
  129
  130%!  dict_fill(+ValueIn, +Key, +Dict, -Value) is det.
  131%
  132%   Implementation for the dicts_to_same_keys/3   `OnEmpty`  closure
  133%   that  fills  new  cells  with  a  copy  of  ValueIn.  Note  that
  134%   copy_term/2 does not really copy  ground   terms.  Below are two
  135%   examples. Note that when filling empty   cells  with a variable,
  136%   each empty cell is bound to a new variable.
  137%
  138%     ==
  139%     ?- dicts_to_same_keys([r{x:1}, r{y:2}], dict_fill(null), L).
  140%     L = [r{x:1, y:null}, r{x:null, y:2}].
  141%     ?- dicts_to_same_keys([r{x:1}, r{y:2}], dict_fill(_), L).
  142%     L = [r{x:1, y:_G2005}, r{x:_G2036, y:2}].
  143%     ==
  144%
  145%   Use dict_no_fill/3 to raise an error if a dict is missing a key.
  146
  147dict_fill(ValueIn, _, _, Value) :-
  148    copy_term(ValueIn, Value).
  149
  150%!  dict_no_fill is det.
  151%
  152%   Can be used instead of dict_fill/4 to raise an exception if some
  153%   dict is missing a key.
  154
  155dict_no_fill(Key, Dict, Value) :-
  156    Value = Dict.Key.
  157
  158%!  dicts_join(+Key, +DictsIn, -Dicts) is semidet.
  159%
  160%   Join dicts in Dicts that have the   same value for Key, provided
  161%   they do not have conflicting values on other keys.  For example:
  162%
  163%   ==
  164%   ?- dicts_join(x, [r{x:1, y:2}, r{x:1, z:3}, r{x:2,y:4}], L).
  165%   L = [r{x:1, y:2, z:3}, r{x:2, y:4}].
  166%   ==
  167%
  168%   @error  existence_error(key, Key, Dict) if a dict in Dicts1
  169%           or Dicts2 does not contain Key.
  170
  171dicts_join(Join, Dicts0, Dicts) :-
  172    sort(Join, @=<, Dicts0, Dicts1),
  173    join(Dicts1, Join, Dicts).
  174
  175join([], _, []) :- !.
  176join([H0|T0], Key, [H|T]) :-
  177    !,
  178    get_dict(Key, H0, V0),
  179    join_same(T0, Key, V0, H0, H, T1),
  180    join(T1, Key, T).
  181join([One], _, [One]) :- !.
  182
  183join_same([H|T0], Key, V0, D0, D, T) :-
  184    get_dict(Key, H, V),
  185    V == V0,
  186    !,
  187    D0 >:< H,
  188    put_dict(H, D0, D1),
  189    join_same(T0, Key, V0, D1, D, T).
  190join_same(DL, _, _, D, D, DL).
  191
  192%!  dicts_join(+Key, +Dicts1, +Dicts2, -Dicts) is semidet.
  193%
  194%   Join two lists of dicts (Dicts1 and   Dicts2)  on Key. Each pair
  195%   D1-D2 from Dicts1 and Dicts2 that have   the same (==) value for
  196%   Key creates a new dict D with the  union of the keys from D1 and
  197%   D2, provided D1 and D2 to not   have conflicting values for some
  198%   key.  For example:
  199%
  200%     ==
  201%     ?- DL1 = [r{x:1,y:1},r{x:2,y:4}],
  202%        DL2 = [r{x:1,z:2},r{x:3,z:4}],
  203%        dicts_join(x, DL1, DL2, DL).
  204%        DL = [r{x:1, y:1, z:2}, r{x:2, y:4}, r{x:3, z:4}].
  205%     ==
  206%
  207%   @error  existence_error(key, Key, Dict) if a dict in Dicts1
  208%           or Dicts2 does not contain Key.
  209
  210dicts_join(Join, Dicts1, Dicts2, Dicts) :-
  211    sort(Join, @=<, Dicts1, Dicts11),
  212    sort(Join, @=<, Dicts2, Dicts21),
  213    join(Dicts11, Dicts21, Join, Dicts).
  214
  215join([], [], _, []) :- !.
  216join([D1|T1], [D2|T2], Join, [DNew|MoreDicts]) :-
  217    !,
  218    get_dict(Join, D1, K1),
  219    get_dict(Join, D2, K2),
  220    compare(Diff, K1, K2),
  221    (   Diff == (=)
  222    ->  D1 >:< D2,
  223        put_dict(D1, D2, DNew),
  224        join(T1, T2, Join, MoreDicts)
  225    ;   Diff == (<)
  226    ->  DNew = D1,
  227        join(T1, [D2|T2], Join, MoreDicts)
  228    ;   DNew = D2,
  229        join([D1|T1], T2, Join, MoreDicts)
  230    ).
  231join([], Dicts, _, Dicts) :- !.
  232join(Dicts, [], _, Dicts).
  233
  234
  235%!  dicts_slice(+Keys, +DictsIn, -DictsOut) is det.
  236%
  237%   DictsOut is a list of Dicts only containing values for Keys.
  238
  239dicts_slice(Keys, DictsIn, DictsOut) :-
  240    sort(Keys, SortedKeys),
  241    maplist(dict_slice(SortedKeys), DictsIn, DictsOut).
  242
  243dict_slice(Keys, DictIn, DictOut) :-
  244    dict_pairs(DictIn, Tag, PairsIn),
  245    slice_pairs(Keys, PairsIn, PairsOut),
  246    dict_pairs(DictOut, Tag, PairsOut).
  247
  248slice_pairs([], _, []) :- !.
  249slice_pairs(_, [], []) :- !.
  250slice_pairs([H|T0], [P|PL], Pairs) :-
  251    P = K-_,
  252    compare(D, H, K),
  253    (   D == (=)
  254    ->  Pairs = [P|More],
  255        slice_pairs(T0, PL, More)
  256    ;   D == (<)
  257    ->  slice_pairs(T0, [P|PL], Pairs)
  258    ;   slice_pairs([H|T0], PL, Pairs)
  259    ).
  260
  261%!  dicts_to_compounds(?Dicts, +Keys, :OnEmpty, ?Compounds) is semidet.
  262%
  263%   True when Dicts and Compounds are lists   of the same length and
  264%   each element of Compounds is  a   compound  term whose arguments
  265%   represent the values associated with   the corresponding keys in
  266%   Keys. When converting from  dict  to   row,  OnEmpty  is used to
  267%   compute missing values. The functor for the compound is the same
  268%   as the tag of the pair. When converting from dict to row and the
  269%   dict has no tag, the functor `row` is used. For example:
  270%
  271%     ==
  272%     ?- Dicts = [_{x:1}, _{x:2, y:3}],
  273%        dicts_to_compounds(Dicts, [x], dict_fill(null), Compounds).
  274%     Compounds = [row(1), row(2)].
  275%     ?- Dicts = [_{x:1}, _{x:2, y:3}],
  276%        dicts_to_compounds(Dicts, [x,y], dict_fill(null), Compounds).
  277%     Compounds = [row(1, null), row(2, 3)].
  278%     ?- Compounds = [point(1,1), point(2,4)],
  279%        dicts_to_compounds(Dicts, [x,y], dict_fill(null), Compounds).
  280%     Dicts = [point{x:1, y:1}, point{x:2, y:4}].
  281%     ==
  282%
  283%   When converting from Dicts to  Compounds   Keys  may be computed by
  284%   dicts_same_keys/2.
  285
  286dicts_to_compounds(Dicts, Keys, OnEmpty, Compounds) :-
  287    maplist(dict_to_compound(Keys, OnEmpty), Dicts, Compounds).
  288
  289dict_to_compound(Keys, OnEmpty, Dict, Row) :-
  290    is_dict(Dict, Tag),
  291    !,
  292    default_tag(Tag, row),
  293    maplist(key_value(Dict, OnEmpty), Keys, Values),
  294    compound_name_arguments(Row, Tag, Values).
  295dict_to_compound(Keys, _, Dict, Row) :-
  296    compound(Row),
  297    compound_name_arguments(Row, Tag, Values),
  298    pairs_keys_values(Pairs, Keys, Values),
  299    dict_pairs(Dict, Tag, Pairs).
  300
  301default_tag(Tag, Tag) :- !.
  302default_tag(_, _).
  303
  304key_value(Dict, OnEmpty, Key, Value) :-
  305    (   get_dict(Key, Dict, Value0)
  306    ->  Value = Value0
  307    ;   call(OnEmpty, Key, Dict, Value)
  308    )