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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)  2015-2024, VU University Amsterdam
    7                              SWI-Prolog Solutions b.v.
    8    All rights reserved.
    9
   10    Redistribution and use in source and binary forms, with or without
   11    modification, are permitted provided that the following conditions
   12    are met:
   13
   14    1. Redistributions of source code must retain the above copyright
   15       notice, this list of conditions and the following disclaimer.
   16
   17    2. Redistributions in binary form must reproduce the above copyright
   18       notice, this list of conditions and the following disclaimer in
   19       the documentation and/or other materials provided with the
   20       distribution.
   21
   22    THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
   23    "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
   24    LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
   25    FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
   26    COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
   27    INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
   28    BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
   29    LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
   30    CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
   31    LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
   32    ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
   33    POSSIBILITY OF SUCH DAMAGE.
   34*/
   35
   36:- module(dicts,
   37          [ mapdict/2,                  % :Goal, +Dict
   38            mapdict/3,                  % :Goal, ?Dict1, ?Dict2
   39            mapdict/4,                  % :Goal, ?Dict1, ?Dict2, ?Dict3
   40            dicts_same_tag/2,           % +List, -Tag
   41            dict_size/2,                % +Dict, -KeyCount
   42            dict_keys/2,                % +Dict, -Keys
   43            dicts_same_keys/2,          % +DictList, -Keys
   44            dicts_to_same_keys/3,       % +DictsIn, :OnEmpty, -DictsOut
   45            dict_fill/4,                % +Value, +Key, +Dict, -Value
   46            dict_no_fill/3,             % +Key, +Dict, -Value
   47            dicts_join/3,               % +Key, +DictsIn, -Dicts
   48            dicts_join/4,               % +Key, +Dicts1, +Dicts2, -Dicts
   49            dicts_slice/3,              % +Keys, +DictsIn, -DictsOut
   50            dicts_to_compounds/4        % ?Dicts, +Keys, :OnEmpty, ?Compounds
   51          ]).   52:- autoload(library(apply),[maplist/2,maplist/3]).   53:- autoload(library(lists),[append/2,append/3]).   54:- autoload(library(ordsets),[ord_subtract/3]).   55:- autoload(library(pairs),[pairs_keys/2,pairs_keys_values/3]).   56:- autoload(library(error), [domain_error/2, must_be/2]).   57
   58
   59:- meta_predicate
   60    mapdict(2, +),
   61    mapdict(3, ?, ?),
   62    mapdict(4, ?, ?, ?),
   63    dicts_to_same_keys(+,3,-),
   64    dicts_to_compounds(?,+,3,?).   65
   66/** <module> Dict utilities
   67
   68This library defines utilities that operate   on lists of dicts, notably
   69to make lists of dicts  consistent   by  adding missing keys, converting
   70between lists of compounds and lists of dicts, joining and slicing lists
   71of dicts.
   72*/
   73
   74%!  mapdict(:Goal, +Dict).
   75%!  mapdict(:Goal, ?Dict, ?Dict2).
   76%!  mapdict(:Goal, ?Dict, ?Dict2, ?Dict3).
   77%
   78%   True when all dicts have the same   set  of keys and call(Goal, Key,
   79%   V1, ...) is true for all keys  in   the  dicts.  At least one of the
   80%   dicts must be instantiated.
   81%
   82%   @error instantiation_error if no dict is bound
   83%   @error type_error(dict, Culprit) if one of the dict arguments is not
   84%   a dict.
   85%   @error domain_error(incompatible_dict, Culprit) if Culprit does not
   86%   have the same keys as one of the other dicts.
   87
   88mapdict(Goal, Dict) :-
   89    mapdict_(1, Goal, Dict).
   90
   91mapdict_(I, Goal, D1) :-
   92    (   '$get_dict_kv'(I, D1, K, V1)
   93    ->  call(Goal, K, V1),
   94        I2 is I+1,
   95        mapdict_(I2, Goal, D1)
   96    ;   true
   97    ).
   98
   99mapdict(Goal, Dict1, Dict2) :-
  100    (   dict_same_keys(Dict1, Dict2)
  101    ->  mapdict_(1, Goal, Dict1, Dict2)
  102    ;   domain_error(incompatible_dict, Dict2)
  103    ).
  104
  105mapdict_(I, Goal, D1, D2) :-
  106    (   '$get_dict_kv'(I, D1, D2, K, V1, V2)
  107    ->  call(Goal, K, V1, V2),
  108        I2 is I+1,
  109        mapdict_(I2, Goal, D1, D2)
  110    ;   true
  111    ).
  112
  113
  114mapdict(Goal, Dict1, Dict2, Dict3) :-
  115    (   nonvar(Dict1)
  116    ->  dict_same_keys(Dict1, Dict2),
  117        dict_same_keys(Dict1, Dict3)
  118    ;   nonvar(Dict2)
  119    ->  dict_same_keys(Dict1, Dict2),
  120        dict_same_keys(Dict1, Dict3)
  121    ;   dict_same_keys(Dict3, Dict2),
  122        dict_same_keys(Dict3, Dict1)
  123    ),
  124    !,
  125    mapdict_(1, Goal, Dict1, Dict2, Dict3).
  126mapdict(_Goal, Dict1, Dict2, Dict3) :-
  127    (   nonvar(Dict3)
  128    ->  domain_error(incompatible_dict, Dict3)
  129    ;   nonvar(Dict2)
  130    ->  domain_error(incompatible_dict, Dict2)
  131    ;   domain_error(incompatible_dict, Dict1)
  132    ).
  133
  134mapdict_(I, Goal, D1, D2, D3) :-
  135    (   '$get_dict_kv'(I, D1, D2, D3, K, V1, V2, V3)
  136    ->  call(Goal, K, V1, V2, V3),
  137        I2 is I+1,
  138        mapdict_(I2, Goal, D1, D2, D3)
  139    ;   true
  140    ).
  141
  142
  143%!  dicts_same_tag(+List, -Tag) is semidet.
  144%
  145%   True when List is a list of dicts that all have the tag Tag.
  146
  147dicts_same_tag(List, Tag) :-
  148    maplist(keys_tag(Tag), List).
  149
  150keys_tag(Tag, Dict) :-
  151    is_dict(Dict, Tag).
  152
  153%!  dict_size(+Dict, -KeyCount) is det.
  154%
  155%   True when KeyCount is the number of keys in Dict.
  156
  157dict_size(Dict, KeyCount) :-
  158    must_be(dict,Dict),
  159    compound_name_arity(Dict,_,Arity),
  160    KeyCount is (Arity-1)//2.
  161
  162%!  dict_keys(+Dict, -Keys) is det.
  163%
  164%   True when Keys is an ordered set of the keys appearing in Dict.
  165
  166dict_keys(Dict, Keys) :-
  167    dict_pairs(Dict, _Tag, Pairs),
  168    pairs_keys(Pairs, Keys).
  169
  170
  171%!  dicts_same_keys(+List, -Keys) is semidet.
  172%
  173%   True if List is a list of dicts  that all have the same keys and
  174%   Keys is an ordered set of these keys.
  175
  176dicts_same_keys(List, Keys) :-
  177    maplist(keys_dict(Keys), List).
  178
  179keys_dict(Keys, Dict) :-
  180    dict_keys(Dict, Keys).
  181
  182%!  dicts_to_same_keys(+DictsIn, :OnEmpty, -DictsOut)
  183%
  184%   DictsOut is a copy of DictsIn, where each dict contains all keys
  185%   appearing in all dicts of  DictsIn.   Values  for  keys that are
  186%   added to a dict are produced by   calling  OnEmpty as below. The
  187%   predicate dict_fill/4 provides an implementation  that fills all
  188%   new cells with a predefined value.
  189%
  190%     ==
  191%     call(:OnEmpty, +Key, +Dict, -Value)
  192%     ==
  193
  194dicts_to_same_keys(Dicts, _, Table) :-
  195    dicts_same_keys(Dicts, _),
  196    !,
  197    Table = Dicts.
  198dicts_to_same_keys(Dicts, OnEmpty, Table) :-
  199    maplist(dict_keys, Dicts, KeysList),
  200    append(KeysList, Keys0),
  201    sort(Keys0, Keys),
  202    maplist(extend_dict(Keys, OnEmpty), Dicts, Table).
  203
  204extend_dict(Keys, OnEmpty, Dict0, Dict) :-
  205    dict_pairs(Dict0, Tag, Pairs),
  206    pairs_keys(Pairs, DictKeys),
  207    ord_subtract(Keys, DictKeys, Missing),
  208    (   Missing == []
  209    ->  Dict = Dict0
  210    ;   maplist(key_value_pair(Dict0, OnEmpty), Missing, NewPairs),
  211        append(NewPairs, Pairs, AllPairs),
  212        dict_pairs(Dict, Tag, AllPairs)
  213    ).
  214
  215key_value_pair(Dict, OnEmpty, Key, Key-Value) :-
  216    call(OnEmpty, Key, Dict, Value).
  217
  218%!  dict_fill(+ValueIn, +Key, +Dict, -Value) is det.
  219%
  220%   Implementation for the dicts_to_same_keys/3   `OnEmpty`  closure
  221%   that  fills  new  cells  with  a  copy  of  ValueIn.  Note  that
  222%   copy_term/2 does not really copy  ground   terms.  Below are two
  223%   examples. Note that when filling empty   cells  with a variable,
  224%   each empty cell is bound to a new variable.
  225%
  226%     ==
  227%     ?- dicts_to_same_keys([r{x:1}, r{y:2}], dict_fill(null), L).
  228%     L = [r{x:1, y:null}, r{x:null, y:2}].
  229%     ?- dicts_to_same_keys([r{x:1}, r{y:2}], dict_fill(_), L).
  230%     L = [r{x:1, y:_G2005}, r{x:_G2036, y:2}].
  231%     ==
  232%
  233%   Use dict_no_fill/3 to raise an error if a dict is missing a key.
  234
  235dict_fill(ValueIn, _, _, Value) :-
  236    copy_term(ValueIn, Value).
  237
  238%!  dict_no_fill is det.
  239%
  240%   Can be used instead of dict_fill/4 to raise an exception if some
  241%   dict is missing a key.
  242
  243dict_no_fill(Key, Dict, Value) :-
  244    Value = Dict.Key.
  245
  246%!  dicts_join(+Key, +DictsIn, -Dicts) is semidet.
  247%
  248%   Join dicts in Dicts that have the   same value for Key, provided
  249%   they do not have conflicting values on other keys.  For example:
  250%
  251%   ==
  252%   ?- dicts_join(x, [r{x:1, y:2}, r{x:1, z:3}, r{x:2,y:4}], L).
  253%   L = [r{x:1, y:2, z:3}, r{x:2, y:4}].
  254%   ==
  255%
  256%   @error  existence_error(key, Key, Dict) if a dict in Dicts1
  257%           or Dicts2 does not contain Key.
  258
  259dicts_join(Join, Dicts0, Dicts) :-
  260    sort(Join, @=<, Dicts0, Dicts1),
  261    join(Dicts1, Join, Dicts).
  262
  263join([], _, []) :- !.
  264join([H0|T0], Key, [H|T]) :-
  265    !,
  266    get_dict(Key, H0, V0),
  267    join_same(T0, Key, V0, H0, H, T1),
  268    join(T1, Key, T).
  269join([One], _, [One]) :- !.
  270
  271join_same([H|T0], Key, V0, D0, D, T) :-
  272    get_dict(Key, H, V),
  273    V == V0,
  274    !,
  275    D0 >:< H,
  276    put_dict(H, D0, D1),
  277    join_same(T0, Key, V0, D1, D, T).
  278join_same(DL, _, _, D, D, DL).
  279
  280%!  dicts_join(+Key, +Dicts1, +Dicts2, -Dicts) is semidet.
  281%
  282%   Join two lists of dicts (Dicts1 and   Dicts2)  on Key. Each pair
  283%   D1-D2 from Dicts1 and Dicts2 that have   the same (==) value for
  284%   Key creates a new dict D with the  union of the keys from D1 and
  285%   D2, provided D1 and D2 to not   have conflicting values for some
  286%   key.  For example:
  287%
  288%     ==
  289%     ?- DL1 = [r{x:1,y:1},r{x:2,y:4}],
  290%        DL2 = [r{x:1,z:2},r{x:3,z:4}],
  291%        dicts_join(x, DL1, DL2, DL).
  292%        DL = [r{x:1, y:1, z:2}, r{x:2, y:4}, r{x:3, z:4}].
  293%     ==
  294%
  295%   @error  existence_error(key, Key, Dict) if a dict in Dicts1
  296%           or Dicts2 does not contain Key.
  297
  298dicts_join(Join, Dicts1, Dicts2, Dicts) :-
  299    sort(Join, @=<, Dicts1, Dicts11),
  300    sort(Join, @=<, Dicts2, Dicts21),
  301    join(Dicts11, Dicts21, Join, Dicts).
  302
  303join([], [], _, []) :- !.
  304join([D1|T1], [D2|T2], Join, [DNew|MoreDicts]) :-
  305    !,
  306    get_dict(Join, D1, K1),
  307    get_dict(Join, D2, K2),
  308    compare(Diff, K1, K2),
  309    (   Diff == (=)
  310    ->  D1 >:< D2,
  311        put_dict(D1, D2, DNew),
  312        join(T1, T2, Join, MoreDicts)
  313    ;   Diff == (<)
  314    ->  DNew = D1,
  315        join(T1, [D2|T2], Join, MoreDicts)
  316    ;   DNew = D2,
  317        join([D1|T1], T2, Join, MoreDicts)
  318    ).
  319join([], Dicts, _, Dicts) :- !.
  320join(Dicts, [], _, Dicts).
  321
  322
  323%!  dicts_slice(+Keys, +DictsIn, -DictsOut) is det.
  324%
  325%   DictsOut is a list of Dicts only containing values for Keys.
  326
  327dicts_slice(Keys, DictsIn, DictsOut) :-
  328    sort(Keys, SortedKeys),
  329    maplist(dict_slice(SortedKeys), DictsIn, DictsOut).
  330
  331dict_slice(Keys, DictIn, DictOut) :-
  332    dict_pairs(DictIn, Tag, PairsIn),
  333    slice_pairs(Keys, PairsIn, PairsOut),
  334    dict_pairs(DictOut, Tag, PairsOut).
  335
  336slice_pairs([], _, []) :- !.
  337slice_pairs(_, [], []) :- !.
  338slice_pairs([H|T0], [P|PL], Pairs) :-
  339    P = K-_,
  340    compare(D, H, K),
  341    (   D == (=)
  342    ->  Pairs = [P|More],
  343        slice_pairs(T0, PL, More)
  344    ;   D == (<)
  345    ->  slice_pairs(T0, [P|PL], Pairs)
  346    ;   slice_pairs([H|T0], PL, Pairs)
  347    ).
  348
  349%!  dicts_to_compounds(?Dicts, +Keys, :OnEmpty, ?Compounds) is semidet.
  350%
  351%   True when Dicts and Compounds are lists   of the same length and
  352%   each element of Compounds is  a   compound  term whose arguments
  353%   represent the values associated with   the corresponding keys in
  354%   Keys. When converting from  dict  to   row,  OnEmpty  is used to
  355%   compute missing values. The functor for the compound is the same
  356%   as the tag of the pair. When converting from dict to row and the
  357%   dict has no tag, the functor `row` is used. For example:
  358%
  359%     ==
  360%     ?- Dicts = [_{x:1}, _{x:2, y:3}],
  361%        dicts_to_compounds(Dicts, [x], dict_fill(null), Compounds).
  362%     Compounds = [row(1), row(2)].
  363%     ?- Dicts = [_{x:1}, _{x:2, y:3}],
  364%        dicts_to_compounds(Dicts, [x,y], dict_fill(null), Compounds).
  365%     Compounds = [row(1, null), row(2, 3)].
  366%     ?- Compounds = [point(1,1), point(2,4)],
  367%        dicts_to_compounds(Dicts, [x,y], dict_fill(null), Compounds).
  368%     Dicts = [point{x:1, y:1}, point{x:2, y:4}].
  369%     ==
  370%
  371%   When converting from Dicts to  Compounds   Keys  may be computed by
  372%   dicts_same_keys/2.
  373
  374dicts_to_compounds(Dicts, Keys, OnEmpty, Compounds) :-
  375    maplist(dict_to_compound(Keys, OnEmpty), Dicts, Compounds).
  376
  377dict_to_compound(Keys, OnEmpty, Dict, Row) :-
  378    is_dict(Dict, Tag),
  379    !,
  380    default_tag(Tag, row),
  381    maplist(key_value(Dict, OnEmpty), Keys, Values),
  382    compound_name_arguments(Row, Tag, Values).
  383dict_to_compound(Keys, _, Dict, Row) :-
  384    compound(Row),
  385    compound_name_arguments(Row, Tag, Values),
  386    pairs_keys_values(Pairs, Keys, Values),
  387    dict_pairs(Dict, Tag, Pairs).
  388
  389default_tag(Tag, Tag) :- !.
  390default_tag(_, _).
  391
  392key_value(Dict, OnEmpty, Key, Value) :-
  393    (   get_dict(Key, Dict, Value0)
  394    ->  Value = Value0
  395    ;   call(OnEmpty, Key, Dict, Value)
  396    )