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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,?).

Dict utilities

This library defines utilities that operate on lists of dicts, notably to make lists of dicts consistent by adding missing keys, converting between lists of compounds and lists of dicts, joining and slicing lists of dicts. */

 dicts_same_tag(+List, -Tag) is semidet
True when List is a list of dicts that all have the tag Tag.
   69dicts_same_tag(List, Tag) :-
   70    maplist(keys_tag(Tag), List).
   71
   72keys_tag(Tag, Dict) :-
   73    is_dict(Dict, Tag).
 dict_keys(+Dict, -Keys) is det
True when Keys is an ordered set of the keys appearing in Dict.
   79dict_keys(Dict, Keys) :-
   80    dict_pairs(Dict, _Tag, Pairs),
   81    pairs_keys(Pairs, Keys).
 dicts_same_keys(+List, -Keys) is semidet
True if List is a list of dicts that all have the same keys and Keys is an ordered set of these keys.
   89dicts_same_keys(List, Keys) :-
   90    maplist(keys_dict(Keys), List).
   91
   92keys_dict(Keys, Dict) :-
   93    dict_keys(Dict, Keys).
 dicts_to_same_keys(+DictsIn, :OnEmpty, -DictsOut)
DictsOut is a copy of DictsIn, where each dict contains all keys appearing in all dicts of DictsIn. Values for keys that are added to a dict are produced by calling OnEmpty as below. The predicate dict_fill/4 provides an implementation that fills all new cells with a predefined value.
call(:OnEmpty, +Key, +Dict, -Value)
  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).
 dict_fill(+ValueIn, +Key, +Dict, -Value) is det
Implementation for the dicts_to_same_keys/3 OnEmpty closure that fills new cells with a copy of ValueIn. Note that copy_term/2 does not really copy ground terms. Below are two examples. Note that when filling empty cells with a variable, each empty cell is bound to a new variable.
?- dicts_to_same_keys([r{x:1}, r{y:2}], dict_fill(null), L).
L = [r{x:1, y:null}, r{x:null, y:2}].
?- dicts_to_same_keys([r{x:1}, r{y:2}], dict_fill(_), L).
L = [r{x:1, y:_G2005}, r{x:_G2036, y:2}].

Use dict_no_fill/3 to raise an error if a dict is missing a key.

  148dict_fill(ValueIn, _, _, Value) :-
  149    copy_term(ValueIn, Value).
 dict_no_fill is det
Can be used instead of dict_fill/4 to raise an exception if some dict is missing a key.
  156dict_no_fill(Key, Dict, Value) :-
  157    Value = Dict.Key.
 dicts_join(+Key, +DictsIn, -Dicts) is semidet
Join dicts in Dicts that have the same value for Key, provided they do not have conflicting values on other keys. For example:
?- dicts_join(x, [r{x:1, y:2}, r{x:1, z:3}, r{x:2,y:4}], L).
L = [r{x:1, y:2, z:3}, r{x:2, y:4}].
Errors
- existence_error(key, Key, Dict) if a dict in Dicts1 or Dicts2 does not contain Key.
  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).
 dicts_join(+Key, +Dicts1, +Dicts2, -Dicts) is semidet
Join two lists of dicts (Dicts1 and Dicts2) on Key. Each pair D1-D2 from Dicts1 and Dicts2 that have the same (==) value for Key creates a new dict D with the union of the keys from D1 and D2, provided D1 and D2 to not have conflicting values for some key. For example:
?- DL1 = [r{x:1,y:1},r{x:2,y:4}],
   DL2 = [r{x:1,z:2},r{x:3,z:4}],
   dicts_join(x, DL1, DL2, DL).
   DL = [r{x:1, y:1, z:2}, r{x:2, y:4}, r{x:3, z:4}].
Errors
- existence_error(key, Key, Dict) if a dict in Dicts1 or Dicts2 does not contain Key.
  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).
 dicts_slice(+Keys, +DictsIn, -DictsOut) is det
DictsOut is a list of Dicts only containing values for Keys.
  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    ).
 dicts_to_compounds(?Dicts, +Keys, :OnEmpty, ?Compounds) is semidet
True when Dicts and Compounds are lists of the same length and each element of Compounds is a compound term whose arguments represent the values associated with the corresponding keys in Keys. When converting from dict to row, OnEmpty is used to compute missing values. The functor for the compound is the same as the tag of the pair. When converting from dict to row and the dict has no tag, the functor row is used. For example:
?- Dicts = [_{x:1}, _{x:2, y:3}],
   dicts_to_compounds(Dicts, [x], dict_fill(null), Compounds).
Compounds = [row(1), row(2)].
?- Dicts = [_{x:1}, _{x:2, y:3}],
   dicts_to_compounds(Dicts, [x,y], dict_fill(null), Compounds).
Compounds = [row(1, null), row(2, 3)].
?- Compounds = [point(1,1), point(2,4)],
   dicts_to_compounds(Dicts, [x,y], dict_fill(null), Compounds).
Dicts = [point{x:1, y:1}, point{x:2, y:4}].

When converting from Dicts to Compounds Keys may be computed by dicts_same_keys/2.

  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    )