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3% Thrift whitepaper
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5% Name: thrift.tex
6%
7% Authors: Mark Slee (mcslee@facebook.com)
8%
9% Created: 05 March 2007
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11%-----------------------------------------------------------------------------
12
13
14\documentclass[nocopyrightspace,blockstyle]{sigplanconf}
15
16\usepackage{amssymb}
17\usepackage{amsfonts}
18\usepackage{amsmath}
Marc Slemko10b3bdb2007-04-01 09:14:05 +000019\usepackage{url}
Mark Slee24b49d32007-03-21 01:24:00 +000020
21\begin{document}
22
23% \conferenceinfo{WXYZ '05}{date, City.}
24% \copyrightyear{2007}
25% \copyrightdata{[to be supplied]}
26
27% \titlebanner{banner above paper title} % These are ignored unless
28% \preprintfooter{short description of paper} % 'preprint' option specified.
29
30\title{Thrift: Scalable Cross-Language Services Implementation}
31\subtitle{}
32
33\authorinfo{Mark Slee, Aditya Agarwal and Marc Kwiatkowski}
34 {Facebook, 156 University Ave, Palo Alto, CA}
35 {\{mcslee,aditya,marc\}@facebook.com}
36
37\maketitle
38
39\begin{abstract}
40Thrift is a software library and set of code-generation tools developed at
41Facebook to expedite development and implementation of efficient and scalable
42backend services. Its primary goal is to enable efficient and reliable
43communication across programming languages by abstracting the portions of each
44language that tend to require the most customization into a common library
45that is implemented in each language. Specifically, Thrift allows developers to
46define data types and service interfaces in a single language-neutral file
47and generate all the necessary code to build RPC clients and servers.
48
49This paper details the motivations and design choices we made in Thrift, as
50well as some of the more interesting implementation details. It is not
51intended to be taken as research, but rather it is an exposition on what we did
52and why.
53\end{abstract}
54
55% \category{D.3.3}{Programming Languages}{Language constructs and features}
56
57%\terms
58%Languages, serialization, remote procedure call
59
60%\keywords
61%Data description language, interface definition language, remote procedure call
62
63\section{Introduction}
64As Facebook's traffic and network structure have scaled, the resource
65demands of many operations on the site (i.e. search,
66ad selection and delivery, event logging) have presented technical requirements
67drastically outside the scope of the LAMP framework. In our implementation of
68these services, various programming languages have been selected to
69optimize for the right combination of performance, ease and speed of
70development, availability of existing libraries, etc. By and large,
71Facebook's engineering culture has tended towards choosing the best
72tools and implementations avaiable over standardizing on any one
73programming language and begrudgingly accepting its inherent limitations.
74
75Given this design choice, we were presented with the challenge of building
76a transparent, high-performance bridge across many programming languages.
77We found that most available solutions were either too limited, did not offer
78sufficient data type freedom, or suffered from subpar performance.
79\footnote{See Appendix A for a discussion of alternative systems.}
80
81The solution that we have implemented combines a language-neutral software
82stack implemented across numerous programming languages and an associated code
83generation engine that transforms a simple interface and data definition
84language into client and server remote procedure call libraries.
85Choosing static code generation over a dynamic system allows us to create
86validated code with implicit guarantees that can be run without the need for
87any advanced intropsecive run-time type checking. It is also designed to
88be as simple as possible for the developer, who can typically define all
89the necessary data structures and interfaces for a complex service in a single
90short file.
91
92Surprised that a robust open solution to these relatively common problems
93did not yet exist, we committed early on to making the Thrift implementation
94open source.
95
96In evaluating the challenges of cross-language interaction in a networked
97environment, some key components were identified:
98
99\textit{Types.} A common type system must exist across programming languages
100without requiring that the application developer use custom Thrift data types
101or write their own serialization code. That is,
102a C++ programmer should be able to transparently exchange a strongly typed
103STL map for a dynamic Python dictionary. Neither
104programmer should be forced to write any code below the application layer
105to achieve this. Section 2 details the Thrift type system.
106
107\textit{Transport.} Each language must have a common interface to
108bidirectional raw data transport. The specifics of how a given
109transport is implemented should not matter to the service developer.
110The same application code should be able to run against TCP stream sockets,
111raw data in memory, or files on disk. Section 3 details the Thrift Transport
112layer.
113
114\textit{Protocol.} Data types must have some way of using the Transport
115layer to encode and decode themselves. Again, the application
116developer need not be concerned by this layer. Whether the service uses
117an XML or binary protocol is immaterial to the application code.
118All that matters is that the data can be read and written in a consistent,
119deterministic matter. Section 4 details the Thrift Protocol layer.
120
121\textit{Versioning.} For robust services, the involved data types must
122provide a mechanism for versioning themselves. Specifically,
123it should be possible to add or remove fields in an object or alter the
124argument list of a function without any interruption in service (or,
125worse yet, nasty segmentation faults). Section 5 details Thrift's versioning
126system.
127
128\textit{Processors.} Finally, we generate code capable of processing data
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000129streams to accomplish remote procedure calls. Section 6 details the generated
Mark Slee24b49d32007-03-21 01:24:00 +0000130code and TProcessor paradigm.
131
132Section 7 discusses implementation details, and Section 8 describes
133our conclusions.
134
135\section{Types}
136
137The goal of the Thrift type system is to enable programmers to develop using
138completely natively defined types, no matter what programming language they
139use. By design, the Thrift type system does not introduce any special dynamic
140types or wrapper objects. It also does not require that the developer write
141any code for object serialization or transport. The Thrift IDL file is
142logically a way for developers to annotate their data structures with the
143minimal amount of extra information necessary to tell a code generator
144how to safely transport the objects across languages.
145
146\subsection{Base Types}
147
148The type system rests upon a few base types. In considering which types to
149support, we aimed for clarity and simplicity over abundance, focusing
150on the key types available in all programming languages, ommitting any
151niche types available only in specific languages.
152
153The base types supported by Thrift are:
154\begin{itemize}
155\item \texttt{bool} A boolean value, true or false
156\item \texttt{byte} A signed byte
157\item \texttt{i16} A 16-bit signed integer
158\item \texttt{i32} A 32-bit signed integer
159\item \texttt{i64} A 64-bit signed integer
160\item \texttt{double} A 64-bit floating point number
161\item \texttt{string} An encoding-agnostic text or binary string
162\end{itemize}
163
164Of particular note is the absence of unsigned integer types. Because these
165types have no direct translation to native primitive types in many languages,
166the advantages they afford are lost. Further, there is no way to prevent the
167application developer in a language like Python from assigning a negative value
168to an integer variable, leading to unpredictable behavior. From a design
169standpoint, we observed that unsigned integers were very rarely, if ever, used
170for arithmetic purposes, but in practice were much more often used as keys or
171identifiers. In this case, the sign is irrelevant. Signed integers serve this
172same purpose and can be safely cast to their unsigned counterparts (most
173commonly in C++) when absolutely necessary.
174
175\subsection{Containers}
176
177Thrift containers are strongly typed containers that map to the most commonly
178used containers in common programming languages. They are annotated using
179C++ template (or Java Generics) style. There are three types available:
180\begin{itemize}
181\item \texttt{list<type>} An ordered list of elements. Translates directly into
182an STL vector, Java ArrayList, or native array in scripting languages. May
183contain duplicates.
184\item \texttt{set<type>} An unordered set of unique elements. Translates into
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000185an STL set, Java HashSet, or native dictionary in PHP/Python/Ruby.
Mark Slee24b49d32007-03-21 01:24:00 +0000186\item \texttt{map<type1,type2>} A map of strictly unique keys to values
187Translates into an STL map, Java HashMap, PHP associative array,
188or Python/Ruby dictionary.
189\end{itemize}
190
191While defaults are provided, the type mappings are not explicitly fixed. Custom
192code generator directives have been added to substitute custom types in
193destination languages (i.e.
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000194\texttt{hash\_map} or Google's sparse hash map can be used in C++). The
Mark Slee24b49d32007-03-21 01:24:00 +0000195only requirement is that the custom types support all the necessary iteration
196primitives. Container elements may be of any valid Thrift type, including other
197containers or structs.
198
199\subsection{Structs}
200
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000201A Thrift struct defines a common object to be used across languages. A struct
Mark Slee24b49d32007-03-21 01:24:00 +0000202is essentially equivalent to a class in object oriented programming
203languages. A struct has a set of strongly typed fields, each with a unique
204name identifier. The basic syntax for defining a Thrift struct looks very
205similar to a C struct definition. Fields may be annotated with an integer field
206identifier (unique to the scope of that struct) and optional default values.
207Field identifiers will be automatically assigned if omitted, though they are
208strongly encouraged for versioning reasons discussed later.
209
210\begin{verbatim}
211struct Example {
212 1:i32 number=10,
213 2:i64 bigNumber,
214 3:double decimals,
215 4:string name="thrifty"
216}\end{verbatim}
217
218In the target language, each definition generates a type with two methods,
219\texttt{read} and \texttt{write}, which perform serialization and transport
220of the objects using a Thrift TProtocol object.
221
222\subsection{Exceptions}
223
224Exceptions are syntactically and functionally equivalent to structs except
225that they are declared using the \texttt{exception} keyword instead of the
226\texttt{struct} keyword.
227
228The generated objects inherit from an exception base class as appropriate
229in each target programming language, the goal being to offer seamless
230integration with native exception handling for the developer in any given
231language. Again, the design emphasis is on making the code familiar to the
232application developer.
233
234\subsection{Services}
235
236Services are defined using Thrift types. Definition of a service is
237semantically equivalent to defining a pure virtual interface in object oriented
238programming. The Thrift compiler generates fully functional client and
239server stubs that implement the interface. Services are defined as follows:
240
241\begin{verbatim}
242service <name> {
243 <returntype> <name>(<arguments>)
244 [throws (<exceptions>)]
245 ...
246}\end{verbatim}
247
248An example:
249
250\begin{verbatim}
251service StringCache {
252 void set(1:i32 key, 2:string value),
253 string get(1:i32 key) throws (1:KeyNotFound knf),
254 void delete(1:i32 key)
255}
256\end{verbatim}
257
258Note that \texttt{void} is a valid type for a function return, in addition to
259all other defined Thrift types. Additionally, an \texttt{async} modifier
260keyword may be added to a void function, which will generate code that does
261not wait for a response from the server. Note that a pure \texttt{void}
262function will return a response to the client which guarantees that the
263operation has completed on the server side. With \texttt{async} method calls
264the client can only be guaranteed that the request succeeded at the
265transport layer. (In many transport scenarios this is inherently unreliable
266due to the Byzantine Generals' Problem. Therefore, application developers
267should take care only to use the async optimization in cases where dopped
268method calls are acceptable or the transport is known to be reliable.)
269
270Also of note is the fact that argument and exception lists to functions are
271implemented as Thrift structs. They are identical in both notation and
272behavior.
273
274\section{Transport}
275
276The transport layer is used by the generated code to facilitate data transfer.
277
278\subsection{Interface}
279
280A key design choice in the implementation of Thrift was to abstract the
281transport layer from the code generation layer. Though Thrift is typically
282used on top of the TCP/IP stack with streaming sockets as the base layer of
283communication, there was no compelling reason to build that constraint into
284the system. The performance tradeoff incurred by an abstracted I/O layer
285(roughly one virtual method lookup / function call per operation) was
286immaterial compared to the cost of actual I/O operations (typically invoking
287system calls).
288
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000289Fundamentally, generated Thrift code only needs to know how to read and
Mark Slee24b49d32007-03-21 01:24:00 +0000290write data. Where the data is going is irrelevant, it may be a socket, a
291segment of shared memory, or a file on the local disk. The Thrift transport
292interface supports the following methods.
293
294\begin{itemize}
295\item \texttt{open()} Opens the tranpsort
296\item \texttt{close()} Closes the tranport
297\item \texttt{isOpen()} Whether the transport is open
298\item \texttt{read()} Reads from the transport
299\item \texttt{write()} Writes to the transport
300\item \texttt{flush()} Force any pending writes
301\end{itemize}
302
303There are a few additional methods not documented here which are used to aid
304in batching reads and optionally signaling completion of reading or writing
305chunks of data by the generated code.
306
307In addition to the above
Mark Sleec11045a2007-04-01 23:14:38 +0000308\texttt{TTransport} interface, there is a\\
309\texttt{TServerTransport} interface
Mark Slee24b49d32007-03-21 01:24:00 +0000310used to accept or create primitive transport objects. Its interface is as
311follows:
312
313\begin{itemize}
314\item \texttt{open()} Opens the tranpsort
315\item \texttt{listen()} Begins listening for connections
316\item \texttt{accept()} Returns a new client transport
317\item \texttt{close()} Closes the transport
318
319\end{itemize}
320
321\subsection{Implementation}
322
323The transport interface is designed for simple implementation in any
324programming language. New transport mechanisms can be easily defined as needed
325by application developers.
326
327\subsubsection{TSocket}
328
329The \texttt{TSocket} class is implemented across all target languages. It
330provides a common, simple interface to a TCP/IP stream socket.
331
332\subsubsection{TFileTransport}
333
334The \texttt{TFileTransport} is an abstraction of an on-disk file to a data
Mark Sleec11045a2007-04-01 23:14:38 +0000335stream. It can be used to write out a set of incoming Thrift request to a file
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000336on disk. The on-disk data can then be replayed from the log, either for post-processing
337or for recreation and simulation of past events. \texttt(TFileTransport).
Mark Slee24b49d32007-03-21 01:24:00 +0000338
339\subsubsection{Utilities}
340
341The Transport interface is designed to support easy extension using common
342OOP techniques such as composition. Some simple utilites include the
343\texttt{TBufferedTransport}, which buffers writes and reads on an underlying
344transport, the \texttt{TFramedTransport}, which transmits data with frame
345size headers for chunking optimzation or nonblocking operation, and the
346\texttt{TMemoryBuffer}, which allows reading and writing directly from heap or
347stack memory owned by the process.
348
349\section{Protocol}
350
351A second major abstraction in Thrift is the separation of data structure from
352transport representation. Thrift enforces a certain messaging structure when
353transporting data, but it is agnostic to the protocol encoding in use. That is,
354it does not matter whether data is encoded in XML, human-readable ASCII, or a
355dense binary format, so long as the data supports a fixed set of operations
356that allow generated code to deterministically read and write.
357
358\subsection{Interface}
359
360The Thrift Protocol interface is very straightforward. It fundamentally
361supports two things: 1) bidirectional sequenced messaging, and
3622) encoding of base types, containers, and structs.
363
364\begin{verbatim}
365writeMessageBegin(name, type, seq)
366writeMessageEnd()
367writeStructBegin(name)
368writeStructEnd()
369writeFieldBegin(name, type, id)
370writeFieldEnd()
371writeFieldStop()
372writeMapBegin(ktype, vtype, size)
373writeMapEnd()
374writeListBegin(etype, size)
375writeListEnd()
376writeSetBegin(etype, size)
377writeSetEnd()
378writeBool(bool)
379writeByte(byte)
380writeI16(i16)
381writeI32(i32)
382writeI64(i64)
383writeDouble(double)
384writeString(string)
385
386name, type, seq = readMessageBegin()
387 readMessageEnd()
388name = readStructBegin()
389 readStructEnd()
390name, type, id = readFieldBegin()
391 readFieldEnd()
392k, v, size = readMapBegin()
393 readMapEnd()
394etype, size = readListBegin()
395 readListEnd()
396etype, size = readSetBegin()
397 readSetEnd()
398bool = readBool()
399byte = readByte()
400i16 = readI16()
401i32 = readI32()
402i64 = readI64()
403double = readDouble()
404string = readString()
405\end{verbatim}
406
407Note that every write function has exactly one read function counterpart, with
408the exception of the \texttt{writeFieldStop()} method. This is a special method
409that signals the end of a struct. The procedure for reading a struct is to
410\texttt{readFieldBegin()} until the stop field is encountered, and to then
411\texttt{readStructEnd()}. The
412generated code relies upon this structure to ensure that everything written by
413a protocol encoder can be read by a matching protocol decoder. Further note
414that this set of functions is by design more robust than necessary.
415For example, \texttt{writeStructEnd()} is not strictly necessary, as the end of
416a struct may be implied by the stop field. This method is a convenience for
417verbose protocols where it is cleaner to separate these calls (i.e. a closing
418\texttt{</struct>} tag in XML).
419
420\subsection{Structure}
421
422Thrift structures are designed to support encoding into a streaming
423protocol. That is, the implementation should never need to frame or compute the
424entire data length of a structure prior to encoding it. This is critical to
425performance in many scenarios. Consider a long list of relatively large
426strings. If the protocol interface required reading or writing a list as an
427atomic operation, then the implementation would require a linear pass over the
428entire list before encoding any data. However, if the list can be written
429as iteration is performed, the corresponding read may begin in parallel,
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000430theoretically offering an end-to-end speedup of $(kN - C)$, where $N$ is the size
Mark Slee24b49d32007-03-21 01:24:00 +0000431of the list, $k$ the cost factor associated with serializing a single
432element, and $C$ is fixed offset for the delay between data being written
433and becoming available to read.
434
435Similarly, structs do not encode their data lengths a priori. Instead, they are
436encoded as a sequence of fields, with each field having a type specifier and a
437unique field identifier. Note that the inclusion of type specifiers enables
438the protocol to be safely parsed and decoded without any generated code
439or access to the original IDL file. Structs are terminated by a field header
440with a special \texttt{STOP} type. Because all the basic types can be read
441deterministically, all structs (including those with nested structs) can be
442read deterministically. The Thrift protocol is self-delimiting without any
443framing and regardless of the encoding format.
444
445In situations where streaming is unnecessary or framing is advantageous, it
446can be very simply added into the transport layer, using the
447\texttt{TFramedTransport} abstraction.
448
449\subsection{Implementation}
450
451Facebook has implemented and deployed a space-efficient binary protocol which
452is used by most backend services. Essentially, it writes all data
453in a flat binary format. Integer types are converted to network byte order,
454strings are prepended with their byte length, and all message and field headers
455are written using the primitive integer serialization constructs. String names
456for fields are omitted - when using generated code, field identifiers are
457sufficient.
458
459We decided against some extreme storage optimizations (i.e. packing
460small integers into ASCII or using a 7-bit continuation format) for the sake
461of simplicity and clarity in the code. These alterations can easily be made
462if and when we encounter a performance critical use case that demands them.
463
464\section{Versioning}
465
466Thrift is robust in the face of versioning and data definition changes. This
467is critical to enable a staged rollout of changes to deployed services. The
468system must be able to support reading of old data from logfiles, as well as
469requests from out of date clients to new servers, or vice versa.
470
471\subsection{Field Identifiers}
472
473Versioning in Thrift is implemented via field identifiers. The field header
474for every member of a struct in Thrift is encoded with a unique field
475identifier. The combination of this field identifier and its type specifier
476is used to uniquely identify the field. The Thrift definition language
477supports automatic assignment of field identifiers, but it is good
478programming practice to always explicitly specify field identifiers.
479Identifiers are specified as follows:
480
481\begin{verbatim}
482struct Example {
483 1:i32 number=10,
484 2:i64 bigNumber,
485 3:double decimals,
486 4:string name="thrifty"
487}\end{verbatim}
488
489To avoid conflicts, fields with omitted identifiers are automatically assigned
490decrementing from -1, and the language only supports the manual assignment of
491positive identifiers.
492
493When data is being deserialized, the generated code can use these identifiers
494to properly identify the field and determine whether it aligns with a field in
495its definition file. If a field identifier is not recognized, the generated
496code can use the type specifier to skip the unknown field without any error.
497Again, this is possible due to the fact that all data types are self
498delimiting.
499
500Field identifiers can (and should) also be specified in function argument
501lists. In fact, argument lists are not only represented as structs on the
502backend, but actually share the same code in the compiler frontend. This
503allows for version-safe modification of method parameters
504
505\begin{verbatim}
506service StringCache {
507 void set(1:i32 key, 2:string value),
508 string get(1:i32 key) throws (1:KeyNotFound knf),
509 void delete(1:i32 key)
510}
511\end{verbatim}
512
513The syntax for specifying field identifiers was chosen to echo their structure.
514Structs can be thought of as a dictionary where the identifiers are keys, and
515the values are strongly typed, named fields.
516
517Field identifiers internally use the \texttt{i16} Thrift type. Note, however,
518that the \texttt{TProtocol} abstraction may encode identifiers in any format.
519
520\subsection{Isset}
521
522When an unexpected field is encountered, it can be safely ignored and
523discarded. When an expected field is not found, there must be some way to
524signal to the developer that it was not present. This is implemented via an
525inner \texttt{isset} structure inside the defined objects. (In PHP, this is
526implicit with a \texttt{null} value, or \texttt{None} in Python
527and \texttt{nil} in Ruby.) Essentially,
528the inner \texttt{isset} object of each Thrift struct contains a boolean value
529for each field which denotes whether or not that field is present in the
530struct. When a reader receives a struct, it should check for a field being set
531before operating directly on it.
532
533\begin{verbatim}
534class Example {
535 public:
536 Example() :
537 number(10),
538 bigNumber(0),
539 decimals(0),
540 name("thrifty") {}
541
542 int32_t number;
543 int64_t bigNumber;
544 double decimals;
545 std::string name;
546
547 struct __isset {
548 __isset() :
549 number(false),
550 bigNumber(false),
551 decimals(false),
552 name(false) {}
553 bool number;
554 bool bigNumber;
555 bool decimals;
556 bool name;
557 } __isset;
558...
559}
560\end{verbatim}
561
562\subsection{Case Analysis}
563
564There are four cases in which version mismatches may occur.
565
566\begin{enumerate}
567\item \textit{Added field, old client, new server.} In this case, the old
568client does not send the new field. The new server recognizes that the field
569is not set, and implements default behavior for out of date requests.
570\item \textit{Removed field, old client, new server.} In this case, the old
571client sends the removed field. The new server simply ignores it.
572\item \textit{Added field, new client, old server.} The new client sends a
573field that the old server does not recognize. The old server simply ignores
574it and processes as normal.
575\item \textit{Removed field, new client, old server.} This is the most
576dangerous case, as the old server is unlikely to have suitable default
577behavior implemented for the missing field. It is recommended that in this
578situation the new server be rolled out prior to the new clients.
579\end{enumerate}
580
581\subsection{Protocol/Transport Versioning}
582The \texttt{TProtocol} abstractions are also designed to give protocol
583implementations the freedom to version themselves in whatever manner they
584see fit. Specifically, any protocol implementation is free to send whatever
585it likes in the \texttt{writeMessageBegin()} call. It is entirely up to the
586implementor how to handle versioning at the protocol level. The key point is
587that protocol encoding changes are safely isolated from interface definition
588version changes.
589
590Note that the exact same is true of the \texttt{TTransport} interface. For
591example, if we wished to add some new checksumming or error detection to the
592\texttt{TFileTransport}, we could simply add a version header into the
593data it writes to the file in such a way that it would still accept old
594logfiles without the given header.
595
596\section{RPC Implementation}
597
598\subsection{TProcessor}
599
600The last core interface in the Thrift design is the \texttt{TProcessor},
601perhaps the most simple of the constructs. The interface is as follows:
602
603\begin{verbatim}
604interface TProcessor {
605 bool process(TProtocol in, TProtocol out)
606 throws TException
607}
608\end{verbatim}
609
610The key design idea here is that the complex systems we build can fundamentally
611be broken down into agents or services that operate on inputs and outputs. In
612most cases, there is actually just one input and output (an RPC client) that
613needs handling.
614
615\subsection{Generated Code}
616
617When a service is defined, we generate a
618\texttt{TProcessor} instance capable of handling RPC requests to that service,
619using a few helpers. The fundamental structure (illustrated in pseudo-C++) is
620as follows:
621
622\begin{verbatim}
623Service.thrift
624 => Service.cpp
625 interface ServiceIf
626 class ServiceClient : virtual ServiceIf
627 TProtocol in
628 TProtocol out
629 class ServiceProcessor : TProcessor
630 ServiceIf handler
631
632ServiceHandler.cpp
633 class ServiceHandler : virtual ServiceIf
634
635TServer.cpp
636 TServer(TProcessor processor,
637 TServerTransport transport,
638 TTransportFactory tfactory,
639 TProtocolFactory pfactory)
640 serve()
641\end{verbatim}
642
Mark Sleec11045a2007-04-01 23:14:38 +0000643From the Thrift definition file, we generate the virtual service interface.
Mark Slee24b49d32007-03-21 01:24:00 +0000644A client class is generated, which implements the interface and
645uses two \texttt{TProtocol} instances to perform the I/O operations. The
646generated processor implements the \texttt{TProcessor} interface. The generated
647code has all the logic to handle RPC invocations via the \texttt{process()}
648call, and takes as a parameter an instance of the service interface,
649implemented by the application developer.
650
651The user provides an implementation of the application interface in their own,
652non-generated source file.
653
654\subsection{TServer}
655
656Finally, the Thrift core libraries provide a \texttt{TServer} abstraction.
657The \texttt{TServer} object generally works as follows.
658
659\begin{itemize}
660\item Use the \texttt{TServerTransport} to get a \texttt{TTransport}
661\item Use the \texttt{TTransportFactory} to optionally convert the primitive
662transport into a suitable application transport (typically the
663\texttt{TBufferedTransportFactory} is used here)
664\item Use the \texttt{TProtocolFactory} to create an input and output protocol
665for the \texttt{TTransport}
666\item Invoke the \texttt{process()} method of the \texttt{TProcessor} object
667\end{itemize}
668
669The layers are appropriately separated such that the server code needs to know
670nothing about any of the transports, encodings, or applications in play. The
671server encapsulates the logic around connection handling, threading, etc.
672while the processor deals with RPC. The only code written by the application
Mark Sleec11045a2007-04-01 23:14:38 +0000673developer lives in the definitional Thrift file and the interface
Mark Slee24b49d32007-03-21 01:24:00 +0000674implementation.
675
676Facebook has deployed multiple \texttt{TServer} implementations, including
677the single-threaded \texttt{TSimpleServer}, thread-per-connection
678\texttt{TThreadedServer}, and thread-pooling \texttt{TThreadPoolServer}.
679
680The \texttt{TProcessor} interface is very general by design. There is no
681requirement that a \texttt{TServer} take a generated \texttt{TProcessor}
682object. Thrift allows the application developer to easily write any type of
683server that operates on \texttt{TProtocol} objects (for instance, a server
684could simply stream a certain type of object without any actual RPC method
685invocation).
686
687\section{Implementation Details}
688\subsection{Target Languages}
689Thrift currently supports five target languages: C++, Java, Python, Ruby, and
690PHP. At Facebook, we have deployed servers predominantly in C++, Java, and
691Python. Thrift services implemented in PHP have also been embedded into the
692Apache web server, providing transparent backend access to many of our
693frontend constructs using a \texttt{THttpClient} implementation of the
694\texttt{TTransport} interface.
695
696Though Thrift was explicitly designed to be much more efficient and robust
697than typical web technologies, as we were designing our XML-based REST web
698services API we noticed that Thrift could be easily used to define our
699service interface. Though we do not currently employ SOAP envelopes (in the
700author's opinion there is already far too much repetetive enterprise Java
701software to do that sort of thing), we were able to quickly extend Thrift to
702generate XML Schema Definition files for our service, as well as a framework
703for versioning different implementations of our web service. Though public
704web services are admittedly tangential to Thrift's core use case and design,
705Thrift facilitated rapid iteration and affords us the ability to quickly
706migrate our entire XML-based web service onto a higher performance system
707should the future need arise.
708
709\subsection{Generated Structs}
710We made a conscious decision to make our generated structs as transparent as
711possible. All fields are publicly accessible; there are no \texttt{set()} and
712\texttt{get()} methods. Similarly, use of the \texttt{isset} object is not
713enforced. We do not include any \texttt{FieldNotSetException} construct.
714Developers have the option to use these fields to write more robust code, but
715the system is robust to the developer ignoring the \texttt{isset} construct
716entirely and will provide suitable default behavior in all cases.
717
718The reason for this choice was for ease of application development. Our stated
719goal is not to make developers learn a rich new library in their language of
720choice, but rather to generate code that allow them to work with the constructs
721that are most familiar in each language.
722
723We also made the \texttt{read()} and \texttt{write()} methods of the generated
724objects public members so that the objects can be used outside of the context
725of RPC clients and servers. Thrift is a useful tool simply for generating
726objects that are easily serializable across programming languages.
727
728\subsection{RPC Method Identification}
729Method calls in RPC are implemented by sending the method name as a string. One
730issue with this approach is that longer method names require more bandwidth.
731We experimented with using fixed-size hashes to identify methods, but in the
732end concluded that the savings were not worth the headaches incurred. Reliably
733dealing with conflicts across versions of an interface definition file is
734impossible without a meta-storage system (i.e. to generate non-conflicting
735hashes for the current version of a file, we would have to know about all
736conflicts that ever existed in any previous version of the file).
737
738We wanted to avoid too many unnecessary string comparisons upon
739method invocation. To deal with this, we generate maps from strings to function
740pointers, so that invocation is effectively accomplished via a constant-time
741hash lookup in the common case. This requires the use of a couple interesting
742code constructs. Because Java does not have function pointers, process
743functions are all private member classes implementing a common interface.
744
745\begin{verbatim}
746private class ping implements ProcessFunction {
747 public void process(int seqid,
748 TProtocol iprot,
749 TProtocol oprot)
750 throws TException
751 { ...}
752}
753
754HashMap<String,ProcessFunction> processMap_ =
755 new HashMap<String,ProcessFunction>();
756\end{verbatim}
757
758In C++, we use a relatively esoteric language construct: member function
759pointers.
760
761\begin{verbatim}
762std::map<std::string,
763 void (ExampleServiceProcessor::*)(int32_t,
764 facebook::thrift::protocol::TProtocol*,
765 facebook::thrift::protocol::TProtocol*)>
766 processMap_;
767\end{verbatim}
768
769Using these techniques, the cost of string processing is minimized, and we
770reap the benefit of being able to easily debug corrupt or misunderstood data by
771looking for string contents.
772
773\subsection{Servers and Multithreading}
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000774Thrift services require basic multithreading services to handle simultaneous
Mark Sleec11045a2007-04-01 23:14:38 +0000775requests from multiple clients. For the Python and Java implementations of
776thrift server logic, the multi-thread support provided by those runtimes was
777more than adequate. For the C++ implementation no standard multithread runtime
778library support exists. Specifically a robust, lightweight, and portable
779thread manager and timer class implementation do not exist. We investigated
780existing implementations, namely \texttt{boost::thread},
781\texttt{boost::threadpool}, \texttt{ACE\_Thread\_Manager} and
782\texttt{ACE\_Timer}.
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000783
Mark Sleec11045a2007-04-01 23:14:38 +0000784While \texttt{boost::threads}\cite{boost.threads} provides clean,
785lightweight and robust implementations of multi-thread primitives (mutexes,
786conditions, threads) it does not provide a thread manager or timer
787implementation.
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000788
Mark Sleec11045a2007-04-01 23:14:38 +0000789\texttt{boost::threadpool}\cite{boost.threadpool} also looked promising but
790was not far enough along for our purposes. We wanted to limit the dependency on
791thirdparty libraries as much as possible. Because\\
792\texttt{boost::threadpool} is
793not a pure template library and requires runtime libraries and because it is
794not yet part of the official boost distribution we felt it was not ready for
795use in Thrift. As \texttt{boost::threadpool} evolves and especially if it is
796added to the boost distribution we may reconsider our decision not to use it.
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000797
798ACE has both a thread manager and timer class in addition to multi-thread
Mark Sleec11045a2007-04-01 23:14:38 +0000799primitives. The biggest problem with ACE is that it is ACE. Unlike boost, ACE
800API quality is poor. Everything in ACE has large numbers of dependencies on
801everything else in ACE - thus forcing developers to throw out standard
802classes, like STL collection is favor of ACE's homebrewed implementations. In
803addition, unlike boost, ACE implementations demonstrate little understanding
804of the power and pitfalls of C++ programming and take no advantage of modern
805templating techniques to ensure compile time safety and reasonable compiler
806error messages. For all these reasons, ACE was rejected.
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000807
808\subsection{Thread Primitives}
809
Mark Sleec11045a2007-04-01 23:14:38 +0000810The Thrift thread libraries are implemented in the namespace\\
811\texttt{facebook::thrift::concurrency} and have three components:
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000812\begin{itemize}
Mark Sleec11045a2007-04-01 23:14:38 +0000813\item primitives
814\item thread pool manager
815\item timer manager
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000816\end{itemize}
817
Mark Sleec11045a2007-04-01 23:14:38 +0000818As mentioned above, we were hesitant to introduce any additional dependencies
819on Thrift. We decided to use \texttt{boost::shared\_ptr} because it is so
820useful for multithreaded application, because it requires no link-time or
821runtime libraries (i.e. it is a pure template library) and because it is due
822to become part of the C++0X standard.
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000823
Mark Sleec11045a2007-04-01 23:14:38 +0000824We implement standard \texttt{Mutex} and \texttt{Condition} classes, and a
825 \texttt{Monitor} class. The latter is simply a combination of a mutex and
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000826condition variable and is analogous to the monitor implementation provided for
Mark Sleec11045a2007-04-01 23:14:38 +0000827all objects in Java. This is also sometimes referred to as a barrier. We
828provide a \texttt{Synchronized} guard class to allow Java-like synchronized blocks.
829This is just a bit of syntactic sugar, but, like its Java counterpart, clearly
830delimits critical sections of code. Unlike it's Java counterpart, we still
831have the ability to programmatically lock, unlock, block, and signal monitors.
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000832
833\begin{verbatim}
Mark Sleec11045a2007-04-01 23:14:38 +0000834void run() {
835 {Synchronized s(manager->monitor);
836 if (manager->state == TimerManager::STARTING) {
837 manager->state = TimerManager::STARTED;
838 manager->monitor.notifyAll();
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000839 }
Mark Sleec11045a2007-04-01 23:14:38 +0000840 }
841}
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000842\end{verbatim}
843
Mark Sleec11045a2007-04-01 23:14:38 +0000844We again borrowed from Java the distinction between a thread and a runnable
845class. A \texttt{Thread} is the actual schedulable object. The
846\texttt{Runnable} is the logic to execute within the thread.
847The \texttt{Thread} implementation deals with all the platform-specific thread
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000848creation and destruction issues, while the {tt Runnable} implementation deals
Mark Sleec11045a2007-04-01 23:14:38 +0000849with the application-specific per-thread logic. The benefit of this approach
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000850is that developers can easily subclass the Runnable class without pulling in
851platform-specific super-clases.
852
853\subsection{Thread, Runnable, and shared\_ptr}
Mark Sleec11045a2007-04-01 23:14:38 +0000854We use \texttt{boost::shared\_ptr} throughout the \texttt{ThreadManager} and
855\texttt{TimerManager} implementations to guarantee cleanup of dead objects that can
856be accessed by multiple threads. For \texttt{Thread} class implementations,
857\texttt{boost::shared\_ptr} usage requires particular attention to make sure
858\texttt{Thread} objects are neither leaked nor dereferenced prematurely while
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000859creating and shutting down threads.
860
Mark Sleec11045a2007-04-01 23:14:38 +0000861Thread creation requires calling into a C library. (In our case the POSIX
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000862thread library, libhthread, but the same would be true for WIN32 threads).
863Typically, the OS makes few if any guarantees about when a C thread's
Mark Sleec11045a2007-04-01 23:14:38 +0000864entry-point function, \texttt{ThreadMain} will be called. Therefore, it is
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000865possible that our thread create call,
Mark Sleec11045a2007-04-01 23:14:38 +0000866\texttt{ThreadFactory::newThread()} could return to the caller
867well before that time. To ensure that the returned \texttt{Thread} object is not
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000868prematurely cleaned up if the caller gives up its reference prior to the
Mark Sleec11045a2007-04-01 23:14:38 +0000869\texttt{ThreadMain} call, the \texttt{Thread} object makes a weak referenence to
870itself in its \texttt{start} method.
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000871
Mark Sleec11045a2007-04-01 23:14:38 +0000872With the weak reference in hand the \texttt{ThreadMain} function can attempt to get
873a strong reference before entering the \texttt{Runnable::run} method of the
874\texttt{Runnable} object bound to the \texttt{Thread}. If no strong refereneces to the
875thread obtained between exiting \texttt{Thread::start} and entering the C helper
876function, \texttt{ThreadMain}, the weak reference returns null and the function
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000877exits immediately.
878
Mark Sleec11045a2007-04-01 23:14:38 +0000879The need for the \texttt{Thread} to make a weak reference to itself has a
880significant impact on the API. Since references are managed through the
881\texttt{boost::shared\_ptr} templates, the \texttt{Thread} object must have a reference
882to itself wrapped by the same \texttt{boost::shared\_ptr} envelope that is returned
883to the caller. This necessitated use of the factory pattern.
884\texttt{ThreadFactory} creates the raw \texttt{Thread} object and
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000885{tt boost::shared\_ptr} wrapper, and calls a private helper method of the class
Mark Sleec11045a2007-04-01 23:14:38 +0000886implementing the \texttt{Thread} interface (in this case, \texttt{PosixThread::weakRef}
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000887 to allow it to make add weak reference to itself through the
Mark Sleec11045a2007-04-01 23:14:38 +0000888 \texttt{boost::shared\_ptr} envelope.
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000889
Mark Sleec11045a2007-04-01 23:14:38 +0000890\texttt{Thread} and \texttt{Runnable} objects reference each other. A \texttt{Runnable}
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000891object may need to know which thread it is executing in and a Thread, obviously,
Mark Sleec11045a2007-04-01 23:14:38 +0000892needs to know what \texttt{Runnable} object it is hosting. This interdependency is
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000893further complicated because the lifecycle of each object is independent of the
Mark Slee8142b9d2007-04-03 05:49:12 +0000894other. An application may create a set of \texttt{Runnable} object to be reused in different threads, or it may create and forget a \texttt{Runnable} object
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000895once a thread has been created and started for it.
896
Mark Sleec11045a2007-04-01 23:14:38 +0000897The \texttt{Thread} class takes a \texttt{boost::shared\_ptr} reference to the hosted
898\texttt{Runnable} object in its contructor, while the \texttt{Runnable} class has an
899explicit \texttt{thread} method to allow explicit binding of the hosted thread.
900\texttt{ThreadFactory::newThread} binds the two objects to each other.
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000901
902\subsection{ThreadManager}
903
Mark Sleec11045a2007-04-01 23:14:38 +0000904\texttt{ThreadManager} creates a pool of worker threads and
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000905allows applications to schedule tasks for execution as free worker threads
Mark Sleec11045a2007-04-01 23:14:38 +0000906become available. The \texttt{ThreadManager} does not implement dynamic
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000907thread pool resizing, but provides primitives so that applications can add
Mark Sleec11045a2007-04-01 23:14:38 +0000908and remove threads based on load. This approach was chosen because
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000909implementing load metrics and thread pool size is very application
Mark Sleec11045a2007-04-01 23:14:38 +0000910specific. For example some applications may want to adjust pool size based
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000911on running-average of work arrival rates that are measured via polled
Mark Sleec11045a2007-04-01 23:14:38 +0000912samples. Others may simply wish to react immediately to work-queue
913depth high and low water marks. Rather than trying to create a complex
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000914API that is abstract enough to capture these different approaches, we
915simply leave it up to the particular application and provide the
916primitives to enact the desired policy and sample current status.
917
918\subsection{TimerManager}
919
Mark Sleec11045a2007-04-01 23:14:38 +0000920\texttt{TimerManager} applows applications to schedule
921 \texttt{Runnable} object execution at some point in the future. Its specific task
922is to allows applications to sample \texttt{ThreadManager} load at regular
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000923intervals and make changes to the thread pool size based on application policy.
Mark Sleec11045a2007-04-01 23:14:38 +0000924Of course, it can be used to generate any number of timer or alarm events.
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000925
Mark Sleec11045a2007-04-01 23:14:38 +0000926The default implementation of \texttt{TimerManager} uses a single thread to
927execute expired \texttt{Runnable} objects. Thus, if a timer operation needs to
Marc Slemko10b3bdb2007-04-01 09:14:05 +0000928do a large amount of work and especially if it needs to do blocking I/O,
929that should be done in a separate thread.
Mark Slee24b49d32007-03-21 01:24:00 +0000930
931\subsection{Nonblocking Operation}
932Though the Thrift transport interfaces map more directly to a blocking I/O
933model, we have implemented a high performance \texttt{TNonBlockingServer}
934in C++ based upon \texttt{libevent} and the \texttt{TFramedTransport}. We
935implemented this by moving all I/O into one tight event loop using a
936state machine. Essentially, the event loop reads framed requests into
937\texttt{TMemoryBuffer} objects. Once entire requests are ready, they are
938dispatched to the \texttt{TProcessor} object which can read directly from
939the data in memory.
940
941\subsection{Compiler}
Mark Sleec11045a2007-04-01 23:14:38 +0000942The Thrift compiler is implemented in C++ using standard lex/yacc
Mark Slee24b49d32007-03-21 01:24:00 +0000943tokenization and parsing. Though it could have been implemented with fewer
944lines of code in another language (i.e. Python/PLY or ocamlyacc), using C++
945forces explicit definition of the language constructs. Strongly typing the
946parse tree elements (debatably) makes the code more approachable for new
947developers.
948
949Code generation is done using two passes. The first pass looks only for
950include files and type definitions. Type definitions are not checked during
951this phase, since they may depend upon include files. All included files
952are sequentially scanned in a first pass. Once the include tree has been
953resolved, a second pass is taken over all files which inserts type definitions
954into the parse tree and raises an error on any undefined types. The program is
955then generated against the parse tree.
956
957Due to inherent complexities and potential for circular dependencies,
958we explicitly disallow forward declaration. Two Thrift structs cannot
959each contain an instance of the other. (Since we do not allow \texttt{null}
960struct instances in the generated C++ code, this would actually be impossible.)
961
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000962\subsection{TFileTransport}
Mark Sleec11045a2007-04-01 23:14:38 +0000963The \texttt{TFileTransport} logs Thrift requests/structs by
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000964framing incoming data with its length and writing it to disk.
965Using a framed on-disk format allows for better error checking and
Mark Sleec11045a2007-04-01 23:14:38 +0000966helps with processing a finite number of discrete events. The\\
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000967\texttt{TFileWriterTransport} uses a system of swapping in-memory buffers
968to ensure good performance while logging large amounts of data.
Mark Sleec11045a2007-04-01 23:14:38 +0000969A Thrift logfile is split up into chunks of a speficified size and logged messages
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000970are not allowed to cross chunk boundaries. A message that would cross a chunk
971boundary will cause padding to be added until the end of the chunk and the
972first byte of the message is aligned to the beginning of the new chunk.
973Partitioning the file into chunks makes it possible to read and interpret data
Mark Sleec11045a2007-04-01 23:14:38 +0000974from a particular point in the file.
Aditya Agarwalaf524ee2007-03-31 08:28:06 +0000975
Mark Sleec11045a2007-04-01 23:14:38 +0000976\section{Facebook Thrift Services}
Aditya Agarwaladf3e7f2007-03-31 16:56:14 +0000977Thrift has been employed in a large number of applications at Facebook, including
978search, logging, mobile, ads and platform. Two specific usages are discussed below.
979
980\subsection{Search}
981Thrift is used as the underlying protocol and transport for the Facebook seach service.
982The multi-language code generation is well suited for search because it allows application
983development in an efficient server side language (C++) and allows the Facebook PHP-based web application
984to make calls to the search service using Thrift PHP libraries. There is also a large
985variety of search stats, deployment and testing functionality that is built on top
986of the generated python code. In addition to this, the Thrift logfile format is
987used as a redolog for providing real-time search index updates. Thrift has allowed the
988search team to leverage each language for its strengths and to develop code at a rapid pace.
989
990\subsection{Logging}
991The Thrift \texttt{TFileTransport} functionality is used for structured logging. Each
992service function definition along with its parameters can be considered to be
993a structured log entry identified by the function name. This log can then be used for
994a variety of purposes, including inline and offline processing, stats aggregation and as a redolog.
995
Mark Slee24b49d32007-03-21 01:24:00 +0000996\section{Conclusions}
997Thrift has enabled Facebook to build scalable backend
998services efficiently by enabling engineers to divide and conquer. Application
999developers can focus upon application code without worrying about the
1000sockets layer. We avoid duplicated work by writing buffering and I/O logic
1001in one place, rather than interspersing it in each application.
1002
1003Thrift has been employed in a wide variety of applications at Facebook,
1004including search, logging, mobile, ads, and platform. We have
1005found that the marginal performance cost incurred by an extra layer of
1006software abstraction is eclipsed by the gains in developer efficiency and
1007systems reliability.
1008
1009\appendix
1010
1011\section{Similar Systems}
1012The following are software systems similar to Thrift. Each is (very!) briefly
1013described:
1014
1015\begin{itemize}
1016\item \textit{SOAP.} XML-based. Designed for web services via HTTP, excessive
1017XML parsing overhead.
1018\item \textit{CORBA.} Relatively comprehensive, debatably overdesigned and
1019heavyweight. Comparably cumbersome software installation.
1020\item \textit{COM.} Embraced mainly in Windows client softare. Not an entirely
1021open solution.
1022\item \textit{Pillar.} Lightweight and high-performance, but missing versioning
1023and abstraction.
1024\item \textit{Protocol Buffers.} Closed-source, owned by Google. Described in
1025Sawzall paper.
1026\end{itemize}
1027
1028\acks
1029
1030Many thanks for feedback on Thrift (and extreme trial by fire) are due to
Aditya Agarwalaf524ee2007-03-31 08:28:06 +00001031Martin Smith, Karl Voskuil and Yishan Wong.
Mark Slee24b49d32007-03-21 01:24:00 +00001032
1033Thrift is a successor to Pillar, a similar system developed
1034by Adam D'Angelo, first while at Caltech and continued later at Facebook.
1035Thrift simply would not have happened without Adam's insights.
1036
Marc Slemko10b3bdb2007-04-01 09:14:05 +00001037\begin{thebibliography}{}
Mark Slee24b49d32007-03-21 01:24:00 +00001038
Marc Slemko10b3bdb2007-04-01 09:14:05 +00001039\bibitem{boost.threads}
1040Kempf, William,
1041``Boost.Threads'',
1042\url{http://www.boost.org/doc/html/threads.html}
Mark Slee24b49d32007-03-21 01:24:00 +00001043
Marc Slemko10b3bdb2007-04-01 09:14:05 +00001044\bibitem{boost.threadpool}
1045Henkel, Philipp,
1046``threadpool'',
1047\url{http://threadpool.sourceforge.net}
1048
1049\end{thebibliography}
Mark Slee24b49d32007-03-21 01:24:00 +00001050
1051\end{document}