/usr/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 -- List Manipulation
      • 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
      • pairs.pl -- Operations on key-value lists
      • prolog_source.pl -- Examine Prolog source-files
      • record.pl -- Access compound arguments by name
      • quasi_quotations.pl -- Define Quasi Quotation syntax
      • sandbox.pl -- Sandboxed Prolog code
      • apply_macros.pl -- Goal expansion rules to avoid meta-calling
      • yall.pl -- Lambda expressions
      • assoc.pl -- Binary associations
      • prolog_format.pl -- Analyse format specifications
      • 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
      • predicate_options.pl
      • csv.pl -- Process CSV (Comma-Separated Values) data
      • pprint.pl -- Pretty Print Prolog terms
      • atom.pl -- Operations on atoms
      • modules.pl -- Module utility predicates
      • occurs.pl -- Finding and counting sub-terms
      • prolog_xref.pl -- Prolog cross-referencer data collection
      • prolog_colour.pl
      • lazy_lists.pl -- Lazy list handling
      • ugraphs.pl -- Graph manipulation library
      • url.pl
      • www_browser.pl -- Open a URL in the users browser
      • prolog_pack.pl
      • git.pl -- Run GIT commands
      • utf8.pl -- UTF-8 encoding/decoding on lists of character codes.
      • quintus.pl -- Quintus compatibility
      • prolog_versions.pl -- Demand specific (Prolog) versions
      • prolog_wrap.pl -- Wrapping predicates
      • dialect.pl -- Support multiple Prolog dialects
      • date.pl -- Process dates and times
      • persistency.pl -- Provide persistent dynamic predicates
      • iostream.pl -- Utilities to deal with streams
      • prolog_code.pl -- Utilities for reasoning about code
      • strings.pl -- String utilities
      • dif.pl -- The dif/2 constraint
      • edinburgh.pl -- Some traditional Edinburgh predicates
      • terms.pl -- Term manipulation
      • ansi_term.pl -- Print decorated text to ANSI consoles
      • threadutil.pl -- Interactive thread utilities
      • prolog_stack.pl -- Examine the Prolog stack
      • prolog_clause.pl
      • prolog_breakpoints.pl -- Manage Prolog break-points
      • wfs.pl -- Well Founded Semantics interface
      • sort.pl
      • dicts.pl -- Dict utilities
      • varnumbers.pl -- Utilities for numbered terms
      • base32.pl -- Base32 encoding and decoding
      • charsio.pl -- I/O on Lists of Character Codes
      • codesio.pl -- I/O on Lists of Character Codes
      • coinduction.pl -- Co-Logic Programming
      • heaps.pl -- heaps/priority queues
      • rbtrees.pl
      • statistics.pl -- Get information about resource usage
      • when.pl -- Conditional coroutining
      • backcomp.pl -- Backward compatibility
      • ctypes.pl -- Character code classification
      • tables.pl -- XSB interface to tables
      • help.pl -- Text based manual
      • portray_text.pl -- Portray text
      • prolog_history.pl
      • prolog_profile.pl -- Execution profiler
      • prolog_coverage.pl -- Coverage analysis tool
      • macros.pl
      • listing.pl -- List programs and pretty print clauses
      • prolog_debug.pl -- User level debugging tools
      • exceptions.pl
      • optparse.pl -- command line parsing
      • nb_rbtrees.pl -- Non-backtrackable operations on red black trees
      • prolog_autoload.pl
      • check.pl -- Consistency checking
      • thread.pl -- High level thread primitives
      • streams.pl
      • check_installation.pl -- Check installation issues and features
      • prolog_codewalk.pl -- Prolog code walker
      • prolog_metainference.pl
      • fastrw.pl -- Fast reading and writing of terms
      • prolog_trace.pl -- Print access to predicates
      • oset.pl
      • increval.pl -- Incremental dynamic predicate modification
      • vm.pl -- SWI-Prolog Virtual Machine utilities
      • prolog_jiti.pl
      • qpforeign.pl -- Quintus compatible foreign loader
      • shell.pl
      • rwlocks.pl -- Read/write locks
      • make.pl
      • system.pl -- System utilities
      • zip.pl -- Access resource ZIP archives
      • explain.pl -- Describe Prolog Terms
      • nb_set.pl -- Non-backtrackable sets
      • tty.pl -- Terminal operations
      • prolog_config.pl
      • intercept.pl
      • edit.pl
      • hashtable.pl
      • prolog_deps.pl
      • files.pl
      • writef.pl -- Old-style formatted write
      • qsave.pl
      • readln.pl
      • pio.pl
 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)).