/usr/local/lib/swipl/library/aggregate.pl
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  • swipl
    • library
      • error.pl
      • debug.pl -- Print debug messages and test assertions
      • apply.pl -- Apply predicates on a list
      • lists.pl
      • broadcast.pl -- Event service
      • shlib.pl -- Utility library for loading foreign objects (DLLs, shared objects)
      • option.pl -- Option list processing
      • thread_pool.pl -- Resource bounded thread management
      • gensym.pl -- Generate unique symbols
      • settings.pl -- Setting management
      • arithmetic.pl -- Extensible arithmetic
      • main.pl -- Provide entry point for scripts
      • readutil.pl -- Read utilities
      • operators.pl -- Manage operators
      • pairs.pl -- Operations on key-value lists
      • prolog_source.pl -- Examine Prolog source-files
      • record.pl
      • quasi_quotations.pl -- Define Quasi Quotation syntax
      • pure_input.pl -- Pure Input from files and streams
      • solution_sequences.pl -- Modify solution sequences
      • ordsets.pl -- Ordered set manipulation
      • random.pl -- Random numbers
      • base64.pl -- Base64 encoding and decoding
      • aggregate.pl -- Aggregation operators on backtrackable predicates
        • safe_meta/2
        • aggregate/3
        • aggregate/4
        • aggregate_all/3
        • aggregate_all/4
        • foldall/4
        • foreach/2
        • free_variables/4
      • yall.pl -- Lambda expressions
      • sandbox.pl
      • apply_macros.pl -- Goal expansion rules to avoid meta-calling
      • assoc.pl -- Binary associations
      • prolog_format.pl -- Analyse format specifications
      • predicate_options.pl -- Access and analyse predicate options
      • csv.pl -- Process CSV (Comma-Separated Values) data
      • pprint.pl -- Pretty Print Prolog terms
      • atom.pl -- Operations on atoms
      • modules.pl
      • occurs.pl -- Finding and counting sub-terms
      • prolog_xref.pl
      • prolog_colour.pl
      • lazy_lists.pl
      • ugraphs.pl -- Graph manipulation library
      • url.pl -- Analysing and constructing URL
      • www_browser.pl
      • prolog_pack.pl -- A package manager for Prolog
      • git.pl -- Run GIT commands
      • utf8.pl
      • dialect.pl -- Support multiple Prolog dialects
      • system.pl -- System utilities
      • terms.pl -- Term manipulation
      • date.pl -- Process dates and times
      • persistency.pl -- Provide persistent dynamic predicates
      • iostream.pl -- Utilities to deal with streams
      • prolog_stack.pl -- Examine the Prolog stack
      • edinburgh.pl -- Some traditional Edinburgh predicates
      • prolog_clause.pl
      • prolog_breakpoints.pl -- Manage Prolog break-points
      • wfs.pl -- Well Founded Semantics interface
      • prolog_code.pl -- Utilities for reasoning about code
      • sort.pl
      • dicts.pl -- Dict utilities
      • dif.pl -- The dif/2 constraint
      • varnumbers.pl -- Utilities for numbered terms
      • pio.pl -- Pure I/O
      • charsio.pl -- I/O on Lists of Character Codes
      • base32.pl -- Base32 encoding and decoding
      • codesio.pl -- I/O on Lists of Character Codes
      • coinduction.pl -- Co-Logic Programming
      • heaps.pl -- heaps/priority queues
      • rbtrees.pl -- Red black trees
      • statistics.pl -- Get information about resource usage
      • when.pl
      • backcomp.pl -- Backward compatibility
      • prolog_coverage.pl
      • quintus.pl -- Quintus compatibility
      • make.pl -- Reload modified source files
      • thread.pl -- High level thread primitives
      • prolog_trace.pl
      • oset.pl -- Ordered set manipulation
      • help.pl -- Text based manual
      • portray_text.pl -- Portray text
      • nb_set.pl -- Non-backtrackable sets
      • macros.pl -- Macro expansion
      • zip.pl
      • strings.pl -- String utilities
      • tty.pl
      • ctypes.pl -- Character code classification
      • check.pl -- Consistency checking
      • optparse.pl -- command line parsing
      • prolog_codewalk.pl
      • listing.pl -- List programs and pretty print clauses
      • prolog_metainference.pl -- Infer meta-predicate properties
      • increval.pl -- Incremental dynamic predicate modification
      • tables.pl -- XSB interface to tables
      • prolog_jiti.pl -- Just In Time Indexing (JITI) utilities
      • ansi_term.pl -- Print decorated text to ANSI consoles
      • prolog_debug.pl -- User level debugging tools
      • intercept.pl -- Intercept and signal interface
      • threadutil.pl -- Interactive thread utilities
      • prolog_versions.pl -- Demand specific (Prolog) versions
      • shell.pl -- Elementary shell commands
      • explain.pl
      • qsave.pl
      • prolog_profile.pl
      • prolog_history.pl
      • prolog_config.pl
      • hashtable.pl
      • prolog_wrap.pl
      • streams.pl -- Manage Prolog streams
      • rwlocks.pl
      • edit.pl
      • prolog_autoload.pl -- Autoload all dependencies
 foreach(:Generator, :Goal)
True when the conjunction of instances of Goal created from solutions for Generator is true. Except for term copying, this could be implemented as below.
foreach(Generator, Goal) :-
    findall(Goal, Generator, Goals),
    maplist(call, Goals).

The actual implementation uses findall/3 on a template created from the variables shared between Generator and Goal. Subsequently, it uses every instance of this template to instantiate Goal, call Goal and undo only the instantiation of the template and not other instantiations created by running Goal. Here is an example:

?- foreach(between(1,4,X), dif(X,Y)), Y = 5.
Y = 5.
?- foreach(between(1,4,X), dif(X,Y)), Y = 3.
false.

The predicate foreach/2 is mostly used if Goal performs backtrackable destructive assignment on terms. Attributed variables (underlying constraints) are an example. Another example of a backtrackable data structure is in library(hashtable). If we care only about the side effects (I/O, dynamic database, etc.) or the truth value of Goal, forall/2 is a faster and simpler alternative. If Goal instantiates its arguments it is will often fail as the argument cannot be instantiated to multiple values. It is possible to incrementally grow an argument:

?- foreach(between(1,4,X), member(X, L)).
L = [1,2,3,4|_].

Note that SWI-Prolog up to version 8.3.4 created copies of Goal using copy_term/2 for each iteration, this makes the current implementation unable to properly handle compound terms (in Goal's arguments) that share variables with the Generator. As a workaround you can define a goal that does not use compound terms, like in this example:

mem(E,L) :-  % mem/2 hides the compound argument from foreach/2
   member(r(E),L).

?- foreach(  between(1,5,N), mem(N,L)).