Reference counting

In computer science, reference counting is a programming technique of storing the number of references, pointers, or handles to a resource, such as an object, a block of memory, disk space, and others.

In garbage collection algorithms, reference counts may be used to deallocate objects that are no longer needed.

Advantages and disadvantages

The main advantage of the reference counting over tracing garbage collection is that objects are reclaimed as soon as they can no longer be referenced, and in an incremental fashion, without long pauses for collection cycles and with clearly defined lifetime of every object. In real-time applications or systems with limited memory, this is important to maintain responsiveness. Reference counting is also among the simplest forms of memory management to implement. It also allows for effective management of non-memory resources such as operating system objects, which are often much scarcer than memory (tracing garbage collection systems use finalizers for this, but the delayed reclamation may cause problems). Weighted reference counts are a good solution for garbage collecting a distributed system.

Circular list example from a 1985 Master's Thesis. Rectangles denote cons pairs, with reference counts. Even if the incoming top left pointer is removed, all counts remain >0.

Tracing garbage collection cycles are triggered too often if the set of live objects fills most of the available memory; it requires extra space to be efficient. Reference counting performance does not deteriorate as the total amount of free space decreases.

Reference counts are also useful information to use as input to other runtime optimizations. For example, systems that depend heavily on immutable objects such as many functional programming languages can suffer an efficiency penalty due to frequent copies. However, if the compiler (or runtime system) knows that a particular object has only one reference (as most do in many systems), and that the reference is lost at the same time that a similar new object is created (as in the string append statement str ← str "a"), it can replace the operation with a mutation on the original object.

Reference counting in naive form has three main disadvantages over the tracing garbage collection, both of which require additional mechanisms to ameliorate:

• The frequent updates it involves are a source of inefficiency. While tracing garbage collectors can impact efficiency severely via context switching and cache line faults, they collect relatively infrequently, while accessing objects is done continually. Also, less importantly, reference counting requires every memory-managed object to reserve space for a reference count. In tracing garbage collectors, this information is stored implicitly in the references that refer to that object, saving space, although tracing garbage collectors, particularly incremental ones, can require additional space for other purposes.
• The naive algorithm described above can't handle reference cycles, an object which refers directly or indirectly to itself. A mechanism relying purely on reference counts will never consider cyclic chains of objects for deletion, since their reference count is guaranteed to stay nonzero (cf. picture). Methods for dealing with this issue exist but can also increase the overhead and complexity of reference counting — on the other hand, these methods need only be applied to data that might form cycles, often a small subset of all data. One such method is the use of weak references, while another involves using a mark-sweep algorithm that gets called infrequently to clean up.
• In a concurrent setting, all updates of the reference counts and all pointer modifications must be atomic operations, which incurs an additional cost. There are three reasons for the atomicity requirements. First, a reference count field may be updated by multiple threads, and so an adequate atomic instruction, such as a (costly) compare-and-swap, must be used to update the counts. Second, it must be clear which object loses a reference so that its reference count can be adequately decremented. But determining this object is non-trivial in a setting where multiple threads attempt to modify the same reference (i.e., when data races are possible). Finally, there exists a subtle race in which one thread gains a pointer to an object, but before it increments the object's reference count, all other references to this object are deleted concurrently by other threads and the object is reclaimed, causing the said thread to increment a reference count of a reclaimed object.

In addition to these, if the memory is allocated from a free list, reference counting suffers from poor locality. Reference counting alone cannot move objects to improve cache performance, so high performance collectors implement a tracing garbage collector as well. Most implementations (such as the ones in PHP and Objective-C) suffer from poor cache performance since they do not implement copying objects.

Graph interpretation

When dealing with garbage collection schemes, it is often helpful to think of the reference graph, which is a directed graph where the vertices are objects and there is an edge from an object A to an object B if A holds a reference to B. We also have a special vertex or vertices representing the local variables and references held by the runtime system, and no edges ever go to these nodes, although edges can go from them to other nodes.

In this context, the simple reference count of an object is the in-degree of its vertex. Deleting a vertex is like collecting an object. It can only be done when the vertex has no incoming edges, so it does not affect the out-degree of any other vertices, but it can affect the in-degree of other vertices, causing their corresponding objects to be collected as well if their in-degree also becomes 0 as a result.

The connected component containing the special vertex contains the objects that can't be collected, while other connected components of the graph only contain garbage. If a reference-counting garbage collection algorithm is implemented, then each of these garbage components must contain at least one cycle; otherwise, they would have been collected as soon as their reference count (i.e., the number of incoming edges) dropped to zero.

Dealing with inefficiency of updates

Incrementing and decrementing reference counts every time a reference is created or destroyed can significantly impede performance. Not only do the operations take time, but they damage cache performance and can lead to pipeline bubbles. Even read-only operations like calculating the length of a list require a large number of reads and writes for reference updates with naive reference counting.

One simple technique is for the compiler to combine a number of nearby reference updates into one. This is especially effective for references which are created and quickly destroyed. Care must be taken, however, to put the combined update at the right position so that a premature free can be avoided.

The Deutsch-Bobrow method of reference counting capitalizes on the fact that most reference count updates are in fact generated by references stored in local variables. It ignores these references, only counting references in data structures, but before an object with reference count zero can be deleted, the system must verify with a scan of the stack and registers that no other reference to it still exists.

Another technique devised by Henry Baker involves deferred increments, in which references which are stored in local variables do not immediately increment the corresponding reference count, but instead defer this until it is necessary. If such a reference is destroyed quickly, then there is no need to update the counter. This eliminates a large number of updates associated with short-lived references (such as the above list-length-counting example). However, if such a reference is copied into a data structure, then the deferred increment must be performed at that time. It is also critical to perform the deferred increment before the object's count drops to zero, to avoid a premature free.

A dramatic decrease in the overhead on counter updates was obtained by Levanoni and Petrank. They introduce the update coalescing method which coalesces many of the redundant reference count updates. Consider a pointer that in a given interval of the execution is updated several times. It first points to an object O1, then to an object O2, and so forth until at the end of the interval it points to some object On. A reference counting algorithm would typically execute rc(O1)--, rc(O2) , rc(O2)--, rc(O3) , rc(O3)--, ..., rc(On) . But most of these updates are redundant. In order to have the reference count properly evaluated at the end of the interval it is enough to perform rc(O1)-- and rc(On) . The rest of the updates are redundant.

Levanoni and Petrank showed in 2001 how to use such update coalescing in a reference counting collector. When using update coalescing with an appropriate treatment of new objects, more than 99% of the counter updates are eliminated for typical Java benchmarks.

Interestingly, update coalescing also eliminates the need to employ atomic operations during pointer updates in a concurrent setting, this solving reference counting issues in a concurrent setting. Therefore, update coalescing solves the third problem of naive reference counting (i.e., a costly overhead in a concurrent setting). Levanoni and Petrank presented an enhanced algorithm that may run concurrently with multithreaded applications employing only fine synchronization.

Blackburn and McKinley's ulterior reference counting method in 2003 combines deferred reference counting with a copying nursery, observing that the majority of pointer mutations occur in young objects. This algorithm achieves throughput comparable with the fastest generational copying collectors with the low bounded pause times of reference counting.

Dealing with reference cycles

Perhaps the most obvious way to handle reference cycles is to design the system to avoid creating them. A system may explicitly forbid reference cycles; file systems with hard links often do this. Judicious use of "weak" (non-counted) references may also help avoid retain cycles; the Cocoa framework, for instance, recommends using "strong" references for parent-to-child relationships and "weak" references for child-to-parent relationships.

Systems may also be designed to tolerate or correct the cycles they create in some way. Developers may design code to explicitly "tear down" the references in a data structure when it is no longer needed, though this has the cost of requiring them to manually track that data structure's lifetime. This technique can be automated by creating an "owner" object that does the tearing-down when it is destroyed; for instance, a Graph object's destructor could delete the edges of its GraphNodes, breaking the reference cycles in the graph. Cycles may even be ignored in systems with short lives and a small amount of cyclic garbage, particularly when the system was developed using a methodology of avoiding cyclic data structures wherever possible, typically at the expense of efficiency.

Computer scientists have also discovered ways to detect and collect reference cycles automatically, without requiring changes in the data structure design. One simple solution is to periodically use a tracing garbage collector to reclaim cycles; since cycles typically constitute a relatively small amount of reclaimed space, the collector can be run much less often than with an ordinary tracing garbage collector.

Bacon describes a cycle-collection algorithm for reference counting with similarities to tracing collectors, including the same theoretical time bounds. It is based on the observation that a cycle can only be isolated when a reference count is decremented to a nonzero value. All objects which this occurs on are put on a roots list, and then periodically the program searches through the objects reachable from the roots for cycles. It knows it has found a cycle that can be collected when decrementing all the reference counts on a cycle of references brings them all down to zero. An enhanced version of this algorithm by Paz et al. is able to run concurrently with other operations and improve its efficiency by using the update coalescing method of Levanoni and Petrank.

Variant forms

Although it is possible to augment simple reference counts in a variety of ways, often a better solution can be found by performing reference counting in a fundamentally different way. Here we describe some of the variants on reference counting and their benefits and drawbacks.

Weighted reference counting

In weighted reference counting, each reference is assigned a weight, and each object tracks not the number of references referring to it, but the total weight of the references referring to it. The initial reference to a newly created object has a large weight, such as 2¹⁶. Whenever this reference is copied, half of the weight goes to the new reference, and half of the weight stays with the old reference. Since the total weight does not change, the object's reference count does not need to be updated.

Destroying a reference decrements the total weight by the weight of that reference. When the total weight becomes zero, all references have been destroyed. If an attempt is made to copy a reference with a weight of 1, the reference has to "get more weight" by adding to the total weight and then adding this new weight to the reference, and then splitting it. An alternative in this situation is to create an indirection reference object, the initial reference to which is created with a large weight which can then be split.

The property of not needing to access a reference count when a reference is copied is particularly helpful when the object's reference count is expensive to access, for example because it is in another process, on disk, or even across a network. It can also help increase concurrency by avoiding many threads locking a reference count to increase it. Thus, weighted reference counting is most useful in parallel, multiprocess, database, or distributed applications.

The primary problem with simple weighted reference counting is that destroying a reference still requires accessing the reference count, and if many references are destroyed, this can cause the same bottlenecks we seek to avoid. Some adaptations of weighted reference counting seek to avoid this by transferring weight from a dying reference to an active reference.

Weighted reference counting was independently devised by Bevan and Watson & Watson in 1987.

Indirect reference counting

In indirect reference counting, it is necessary to keep track of the reference's source. This means that two references are kept to the object: a direct one which is used for invocations; and an indirect one which forms part of a diffusion tree, such as in the Dijkstra–Scholten algorithm, which allows a garbage collector to identify dead objects. This approach prevents an object from being discarded prematurely.

Examples of use

Garbage collection

As a collection algorithm, reference counting tracks, for each object, a count of the number of references to it held by other objects. If an object's reference count reaches zero, the object has become inaccessible, and can be destroyed.

When an object is destroyed, any objects referenced by that object also have their reference counts decreased. Because of this, removing a single reference can potentially lead to a large number of objects being freed. A common modification allows reference counting to be made incremental: instead of destroying an object as soon as its reference count becomes zero, it is added to a list of unreferenced objects, and periodically (or as needed) one or more items from this list are destroyed.

Simple reference counts require frequent updates. Whenever a reference is destroyed or overwritten, the reference count of the object it references is decremented, and whenever one is created or copied, the reference count of the object it references is incremented.

Reference counting is also used in file systems and distributed systems, where full non-incremental tracing garbage collection is too time-consuming because of the size of the object graph and slow access speed.

Component Object Model

Microsoft's Component Object Model (COM) and WinRT makes pervasive use of reference counting. In fact, two of the three methods that all COM objects must provide (in the IUnknown interface) increment or decrement the reference count. Much of the Windows Shell and many Windows applications (including MS Internet Explorer, MS Office, and countless third-party products) are built on COM, demonstrating the viability of reference counting in large-scale systems.

One primary motivation for reference counting in COM is to enable interoperability across different programming languages and runtime systems. A client need only know how to invoke object methods in order to manage object life cycle; thus, the client is completely abstracted from whatever memory allocator the implementation of the COM object uses. As a typical example, a Visual Basic program using a COM object is agnostic towards whether that object was allocated (and must later be deallocated) by a C allocator or another Visual Basic component.

C

C does not perform reference-counting by default, fulfilling its philosophy of not adding functionality that might incur overheads where the user has not explicitly requested it. Objects that are shared but not owned can be accessed via a reference, raw pointer, or iterator (a conceptual generalisation of pointers).

However, by the same token, C provides native ways for users to opt-into such functionality: C 11 provides reference counted smart pointers, via the std::shared_ptr class, enabling automatic shared memory-management of dynamically allocated objects. Programmers can use this in conjunction with weak pointers (via std::weak_ptr) to break cyclic dependencies. Objects that are dynamically allocated but not intended to be shared can have their lifetime automatically managed using a std::unique_ptr.

In addition, C 11's move semantics further reduce the extent to which reference counts need to be modified by removing the deep copy normally used when a function returns an object, as it allows for a simple copy of the pointer of said object.

Cocoa (Objective-C)

See also: Automatic Reference Counting

Apple's Cocoa and Cocoa Touch frameworks (and related frameworks, such as Core Foundation) use manual reference counting, much like COM. Traditionally this was accomplished by the programmer manually sending retain and release messages to objects, but Automatic Reference Counting, a Clang compiler feature that automatically inserts these messages as needed, was added in iOS 5 and Mac OS X 10.7. Mac OS X 10.5 introduced a tracing garbage collector as an alternative to reference counting, but it was deprecated in OS X 10.8 and removed from the Objective-C runtime library in macOS Sierra. iOS has never supported a tracing garbage collector.

Delphi

Delphi is mostly not a garbage collected language, in that user-defined types must still be manually allocated and deallocated; however, it does provide automatic collection using reference counting for a few built-in types, such as strings, dynamic arrays, and interfaces, for ease of use and to simplify the generic database functionality. It is up to the programmer to decide whether to use the built-in types; Delphi programmers have complete access to low-level memory management like in C/C . So all potential cost of Delphi's reference counting can, if desired, be easily circumvented.

Some of the reasons reference counting may have been preferred to other forms of garbage collection in Delphi include:

• The general benefits of reference counting, such as prompt collection.
• Cycles either cannot occur or do not occur in practice because none of the garbage-collected built-in types are recursive. (using interfaces one could create such scenario, but that is not common usage)
• The overhead in code size required for reference counting is very small (on native x86, typically a single LOCK INC, LOCK DEC or LOCK XADD instruction, which ensures atomicity in any environment), and no separate thread of control is needed for collection as would be needed for a tracing garbage collector.
• Many instances of the most commonly used garbage-collected type, the string, have a short lifetime, since they are typically intermediate values in string manipulation. A lot of local string usage could be optimized away, but the compiler currently doesn't do it.
• The reference count of a string is checked before mutating a string. This allows reference count 1 strings to be mutated directly whilst higher reference count strings are copied before mutation. This allows the general behaviour of old style pascal strings to be preserved whilst eliminating the cost of copying the string on every assignment.
• Because garbage-collection is only done on built-in types, reference counting can be efficiently integrated into the library routines used to manipulate each datatype, keeping the overhead needed for updating of reference counts low. Moreover, a lot of the runtime library is in hand-optimized assembler.
• The string type can be cast to a pointer to char, and high performance operations can be performed that way. This is important since both Delphi and FPC implement their RTL in Pascal. Various other automated types have such casting options.

GObject

The GObject object-oriented programming framework implements reference counting on its base types, including weak references. Reference incrementing and decrementing uses atomic operations for thread safety. A significant amount of the work in writing bindings to GObject from high-level languages lies in adapting GObject reference counting to work with the language's own memory management system.

The Vala programming language uses GObject reference counting as its primary garbage collection system, along with copy-heavy string handling.

Perl

Perl also uses reference counting, without any special handling of circular references, although (as in Cocoa and C above), Perl does support weak references, which allows programmers to avoid creating a cycle.

PHP

PHP uses a reference counting mechanism for its internal variable management. Since PHP 5.3, it implements the algorithm from Bacon's above mentioned paper. PHP allows you to turn on and off the cycle collection with user-level functions. It also allows you to manually force the purging mechanism to be run.

Python

Python also uses reference counting and offers cycle detection as well (and can reclaim reference cycles).

Rust

Like other low-level languages, Rust does not provide reference counting by default. Instead, any constructed type will be dropped when it falls out of scope. When a programmer needs to define the scope of a constructed type, they often use lifetimes.

However, the language also offers various alternatives to complex forms of memory management. Reference counting functionality is provided by the Rc and Arc types, which are non-atomic and atomic respectively.

For example, the type Rc<T> provides shared ownership of a value of type T, allocated on the heap for multiple references to its data.

use std::rc::Rc;

struct Cat {
    color: String,
}

fn main() {
    let cat = Cat { color: "black".to_string() };
    let cat = Rc::new(cat);
}

Using these constructs allows programmers to avoid lifetimes for a small runtime cost. Both reference counters keep track of the number of owners, as they must drop themselves when no owners remain.

One noteworthy facet of these types is related to their usage as a shared reference. In Rust, shared references cannot mutate their held data, so Rc often comes bundled with Cell, and Arc with Mutex, in contexts where interior mutability is necessary.

Interior mutability without UnsafeCell has performance costs, too, so, for maximum performance, some applications may call for additional complexity.

Squirrel

Squirrel uses reference counting with cycle detection. This tiny language is relatively unknown outside the video game industry; however, it is a concrete example of how reference counting can be practical and efficient (especially in realtime environments).

Swift

Swift uses reference counting to track and manage the memory of class instances, and provides the weak keyword for creating weak references. Instances of value types do not use reference counting.

Tcl

Tcl 8 uses reference counting for memory management of values (Tcl Obj structs). Since Tcl's values are immutable, reference cycles are impossible to form and no cycle detection scheme is needed. Operations that would replace a value with a modified copy are generally optimized to instead modify the original when its reference count indicates that it is not shared. The references are counted at a data structure level, so the problems with very frequent updates discussed above do not arise.

Xojo

Xojo also uses reference counting, without any special handling of circular references, although (as in Cocoa and C above), Xojo does support weak references, which allows programmers to avoid creating a cycle.

File systems

Many file systems maintain reference counts to any particular block or file, for example the inode link count on Unix-style file systems, which are usually known as hard links. When the count reaches zero, the file can be safely deallocated. While references can still be made from directories, some Unixes only allow references from live processes, and there can be files that exist outside the file system hierarchy.

External links

• The Memory Manager Reference: Beginner's Guide: Recycling: Reference Counts
• An On-the-Fly Reference-Counting Garbage Collector for Java, Yossi Levanoni and Erez Petrank
• Atomic Reference Counting Pointers: A lock-free, async-free, thread-safe, multiprocessor-safe reference counting pointer, Kirk Reinholtz
• Extending and Embedding the Python Interpreter: Extending Python with C or C : Reference Counts, Guido van Rossum
• Down for the count? Getting reference counting back in the ring, Rifat Shahriyar, Stephen M. Blackburn and Daniel Frampton