1613 lines
80 KiB
TeX
1613 lines
80 KiB
TeX
% TEMPLATE for Usenix papers, specifically to meet requirements of
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% USENIX '05
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% originally a template for producing IEEE-format articles using LaTeX.
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% written by Matthew Ward, CS Department, Worcester Polytechnic Institute.
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% adapted by David Beazley for his excellent SWIG paper in Proceedings,
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% Tcl 96
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% turned into a smartass generic template by De Clarke, with thanks to
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% both the above pioneers
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% use at your own risk. Complaints to /dev/null.
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% make it two column with no page numbering, default is 10 point
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% Munged by Fred Douglis <douglis@research.att.com> 10/97 to separate
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% the .sty file from the LaTeX source template, so that people can
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% more easily include the .sty file into an existing document. Also
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% changed to more closely follow the style guidelines as represented
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% by the Word sample file.
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% This version uses the latex2e styles, not the very ancient 2.09 stuff.
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\documentclass[letterpaper,twocolumn,10pt]{article}
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\usepackage{usenix,epsfig,endnotes,xspace,color}
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% Name candidates:
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% Anza
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% Void
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% Station (from Genesis's Grand Central component)
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% TARDIS: Atomic, Recoverable, Datamodel Independent Storage
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% EAB: flex, basis, stable, dura
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% Stasys: SYStem for Adaptable Transactional Storage:
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\newcommand{\yad}{Stasis\xspace}
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\newcommand{\yads}{Stasis'\xspace}
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\newcommand{\oasys}{Oasys\xspace}
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\newcommand{\diff}[1]{\textcolor{blue}{\bf #1}}
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\newcommand{\eab}[1]{\textcolor{red}{\bf EAB: #1}}
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\newcommand{\rcs}[1]{\textcolor{green}{\bf RCS: #1}}
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%\newcommand{\mjd}[1]{\textcolor{blue}{\bf MJD: #1}}
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\newcommand{\eat}[1]{}
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\begin{document}
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%don't want date printed
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\date{}
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%make title bold and 14 pt font (Latex default is non-bold, 16 pt)
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\title{\Large \bf \yad: System for Adaptable, Transactional Storage}
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%for single author (just remove % characters)
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\author{
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{\rm Russell Sears}\\
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UC Berkeley
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\and
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{\rm Eric Brewer}\\
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UC Berkeley
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} % end author
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\maketitle
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% Use the following at camera-ready time to suppress page numbers.
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% Comment it out when you first submit the paper for review.
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%\thispagestyle{empty}
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%\subsection*{Abstract}
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{\em An increasing range of applications requires robust support for atomic, durable and concurrent
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transactions. Databases provide the default solution, but force
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applications to interact via SQL and to forfeit control over data
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layout and access mechanisms. We argue there is a gap between DBMSs and file systems that limits designers of data-oriented applications.
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\yad is a storage framework that incorporates ideas from traditional
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write-ahead-logging storage algorithms and file systems.
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It provides applications with flexible control over data structures, data layout, performance and robustness properties.
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\yad enables the development of
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unforeseen variants on transactional storage by generalizing
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write-ahead-logging algorithms. Our partial implementation of these
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ideas already provides specialized (and cleaner) semantics to applications.
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We evaluate the performance of a traditional transactional storage
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system based on \yad, and show that it performs favorably relative to existing
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systems. We present examples that make use of custom access methods, modified
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buffer manager semantics, direct log file manipulation, and LSN-free
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pages. These examples facilitate sophisticated performance
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optimizations such as zero-copy I/O. These extensions are composable,
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easy to implement and significantly improve performance.
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}
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%We argue that our ability to support such a diverse range of
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%transactional systems stems directly from our rejection of
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%assumptions made by early database designers. These assumptions
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%permeate ``database toolkit'' research. We attribute the success of
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%low-level transaction processing libraries (such as Berkeley DB) to
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%a partial break from traditional database dogma.
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% entries, and
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% to reduce memory and
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%CPU overhead, reorder log entries for increased efficiency, and do
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%away with per-page LSNs in order to perform zero-copy transactional
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%I/O.
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%We argue that encapsulation allows applications to compose
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%extensions.
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%These ideas have been partially implemented, and initial performance
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%figures, and experience using the library compare favorably with
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%existing systems.
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\section{Introduction}
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As our reliance on computing infrastructure increases, a wider range of
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applications requires robust data management. Traditionally, data management
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has been the province of database management systems (DBMSs), which are
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well-suited to enterprise applications, but lead to poor support for
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systems such as web services, search engines, version systems, work-flow
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applications, bioinformatics, grid computing and scientific computing. These
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applications have complex transactional storage requirements
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but do not fit well
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onto SQL or the monolithic approach of current databases.
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Simply providing
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access to a database system's internal storage module is an improvement.
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However, many of these applications require special transactional properties
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that general purpose transactional storage systems do not provide. In
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fact, DBMSs are often not used for these systems, which instead
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implement custom, ad-hoc data management tools on top of file
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systems.
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A typical example of this mismatch is in the support for
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persistent objects.
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% in Java, called {\em Enterprise Java Beans}
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%(EJB).
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In a typical usage, an array of objects is made persistent by
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mapping each object to a row in a table (or sometimes multiple
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tables)~\cite{hibernate} and then issuing queries to keep the objects and
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rows consistent. An update must confirm it has the current
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version, modify the object, write out a serialized version using the
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SQL update command and commit. Also, for efficiency, most systems must
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buffer two copies of the application's working set in memory.
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This is an awkward and slow mechanism.
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Bioinformatics systems perform complex scientific
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computations over large, semi-structured databases with rapidly evolving schemas. Versioning and
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lineage tracking are also key concerns. Relational databases support
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none of these requirements well. Instead, office suites, ad-hoc
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text-based formats and Perl scripts are used for data management~\cite{perl} (with mixed success~\cite{excel}).
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\eat{
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Examples of real world systems that currently fall into this category
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are web search engines, document repositories, large-scale web-email
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services, map and trip planning services, ticket reservation systems,
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photo and video repositories, bioinformatics, version control systems,
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work-flow applications, CAD/VLSI applications and directory services.
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In short, we believe that a fundamental architectural shift in
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transactional storage is necessary before general purpose storage
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systems are of practical use to modern applications.
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Until this change occurs, databases' imposition of unwanted
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abstraction upon their users will restrict system designs and
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implementations.
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}
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%In short, reliable data management has become as unavoidable as any
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%other operating system service. As this has happened, database
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%designs have not incorporated this decade-old lesson from operating
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%systems research:
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%
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%\begin{quote} The defining tragedy of the operating systems community
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% has been the definition of an operating system as software that both
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% multiplexes and {\em abstracts} physical resources...The solution we
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% propose is simple: complete elimination of operating systems
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% abstractions by lowering the operating system interface to the
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% hardware level~\cite{engler95}.
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%\end{quote}
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%The widespread success of lower-level transactional storage libraries
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%(such as Berkeley DB) is a sign of these trends. However, the level
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%of abstraction provided by these systems is well above the hardware
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%level, and applications that resort to ad-hoc storage mechanisms are
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%still common.
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This paper presents \yad, a library that provides transactional
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storage at a level of abstraction as close to the hardware as
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possible. The library can support special purpose, transactional
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storage interfaces in addition to ACID database-style interfaces to
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abstract data models. \yad incorporates techniques from databases
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(e.g. write-ahead-logging) and systems (e.g. zero-copy techniques).
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Our goal is to combine the flexibility and layering of low-level
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abstractions typical for systems work with the complete semantics
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that exemplify the database field.
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By {\em flexible} we mean that \yad{} can implement a wide
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range of transactional data structures, that it can support a variety
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of policies for locking, commit, clusters and buffer management.
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Also, it is extensible for new core operations
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and new data structures. It is this flexibility that allows the
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support of a wide range of systems.
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By {\em complete} we mean full redo/undo logging that supports
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both {\em no force}, which provides durability with only log writes,
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and {\em steal}, which allows dirty pages to be written out prematurely
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to reduce memory pressure. By complete, we also
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mean support for media recovery, which is the ability to roll
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forward from an archived copy, and support for error-handling,
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clusters, and multithreading. These requirements are difficult
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to meet and form the {\em raison d'\^etre} for \yad{}: the framework
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delivers these properties as reusable building blocks for systems
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that implement complete transactions.
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Through examples and their good performance, we show how \yad{}
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supports a wide range of uses that fall in the gap between
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database and filesystem technologies, including
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persistent objects, graph or XML based applications, and recoverable
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virtual memory~\cite{lrvm}.
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For example, on an object serialization workload, we provide up to
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a 4x speedup over an in-process MySQL implementation and a 3x speedup over Berkeley DB, while
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cutting memory usage in half (Section~\ref{sec:oasys}).
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We implemented this extension in 150 lines of C, including comments and boilerplate. We did not have this type of optimization
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in mind when we wrote \yad, and in fact the idea came from a potential
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user unfamiliar with \yad.
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%\e ab{others? CVS, windows registry, berk DB, Grid FS?}
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%\r cs{maybe in related work?}
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This paper begins by contrasting \yads approach with that of
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conventional database and transactional storage systems. It proceeds
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to discuss write-ahead-logging, and describe ways in which \yad can be
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customized to implement many existing (and some new) write-ahead-logging variants. Implementations of some of these variants are
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presented, and benchmarked against popular real-world systems. We
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conclude with a survey of the technologies the \yad implementation is
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based upon.
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An (early) open-source implementation of
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the ideas presented here is available.
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\section{\yad is not a Database}
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\label{sec:notDB}
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Database research has a long history, including the development of
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many technologies that our system builds upon. This section explains
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why databases are fundamentally inappropriate tools for system
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developers. The problems we present here have been the focus of
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database systems and research projects for at least 25 years.
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\subsection{The database abstraction}
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Database systems are often thought of in terms of the high-level
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abstractions they present. For instance, relational database systems
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implement the relational model~\cite{codd}, object oriented
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databases implement object abstractions, XML databases implement
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hierarchical datasets, and so on. Before the relational model,
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navigational databases implemented pointer- and record-based data models.
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An early survey of database implementations sought to enumerate the
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fundamental components used by database system implementors. This
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survey was performed due to difficulties in extending database systems
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into new application domains. It divided internal database
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routines into two broad modules: {\em conceptual
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mappings}~\cite{batoryConceptual} and {\em physical
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database models}~\cite{batoryPhysical}.
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%A physical model would then translate a set of tuples into an
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%on-disk B-Tree, and provide support for iterators and range-based query
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%operations.
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It is the responsibility of a database implementor to choose a set of
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conceptual mappings that implement the desired higher-level
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abstraction (such as the relational model). The physical data model
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is chosen to efficiently support the set of mappings that are built on
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top of it.
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\diff{A conceptual mapping based on the relational model might
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translate a relation into a set of keyed tuples. If the database were
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going to be used for short, write-intensive and high-concurrency
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transactions (OLTP), the physical model would probably translate sets
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of tuples into an on-disk B-Tree. In contrast, if the database needed
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to support long-running, read only aggregation queries (OLAP), a
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physical model tuned for such queries\rcs{be more concrete here} would
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be more appropriate. While both OLTP and OLAP databases are based
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upon the relational model they make use of different physical models
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in order to serve different classes of applications.}
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A key observation of this paper is that no known physical data model
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can efficiently support more than a small percentage of today's applications.
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Instead of attempting to create such a model after decades of database
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research has failed to produce one, we opt to provide a transactional
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storage model that mimics the primitives provided by modern hardware.
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This makes it easy for system designers to implement most of the data
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models that the underlying hardware can support, or to
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abandon the database approach entirely, and forgo the use of a
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structured physical model or abstract conceptual mappings.
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\subsection{Extensible transaction systems}
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\label{sec:otherDBs}
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This section contains discussion of transaction systems with goals similar to ours.
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Although these projects were
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successful in many respects, they fundamentally aimed to implement an
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extensible data model, rather than build transactions from the bottom up.
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In each case, this limits the applicability of their implementations.
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\eab{add Argus and Camelot}
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\subsubsection{Extensible databases}
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Genesis~\cite{genesis}, an early database toolkit, was built in terms
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of a physical data model and the conceptual mappings described above.
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It is designed to allow database implementors to easily swap out
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implementations of the various components defined by its framework.
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Like subsequent systems (including \yad), it allows its users to
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implement custom operations.
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Subsequent extensible database work builds upon these foundations.
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The Exodus~\cite{exodus} database toolkit is the successor to
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Genesis. It supports the automatic generation of query optimizers and
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execution engines based upon abstract data type definitions, access
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methods and cost models provided by its users.
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Although further discussion is beyond the scope of this paper,
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object-oriented database systems and relational databases with
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support for user-definable abstract data types (such as in
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Postgres~\cite{postgres}) were the primary competitors to extensible
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database toolkits. Ideas from all of these systems have been
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incorporated into the mechanisms that support user-definable types in
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current database systems.
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One can characterize the difference between database toolkits and
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extensible database servers in terms of early and late binding. With
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a database toolkit, new types are defined when the database server is
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compiled. In today's object-relational database systems, new types
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are defined at runtime. Each approach has its advantages. However,
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both types of systems aim to extend a high-level data model with new
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abstract data types, and thus are quite limited in the range of new
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applications they support. In hindsight, it is not surprising that this kind of
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extensibility has had little impact on the range of applications
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we listed above.
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\subsubsection{Berkeley DB}
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%System R was one of the first relational database implementations, and
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%defined a clean separation between its query processor and its storage
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%subsystem. In fact, it supported a simple navigational interface to
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%the storage subsystem, which remains the architecture for modern
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%databases.
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Berkeley DB is a highly successful alternative to conventional
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databases. At its core, it provides the physical database
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(relational storage system) of a conventional database server.
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%It is based on the
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%observation that the storage subsystem is a more general (and less
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%abstract) component than a monolithic database, and provides a
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%stand-alone implementation of the storage primitives built into
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%most relational database systems~\cite{libtp}.
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In particular,
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it provides fully transactional (ACID) operations over B-Trees,
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hashtables, and other access methods. It provides flags that
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let its users tweak various aspects of the performance of these
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primitives, and selectively disable the features it provides~\cite{libtp}.
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With the
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exception of the benchmark designed to fairly compare the two systems, none of the \yad
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applications presented in Section~\ref{sec:extensions} are efficiently
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supported by Berkeley DB. This is a result of Berkeley DB's
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assumptions regarding workloads and decisions regarding low level data
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representation. Thus, although Berkeley DB could be built on top of \yad,
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Berkeley DB's data model and write-ahead-logging system are too specialized to support \yad.
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%cover P2 (the old one, not Pier 2 if there is time...
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\subsubsection{Better databases}
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The database community is also aware of this gap.
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A recent survey~\cite{riscDB} enumerates problems that plague users of
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state-of-the-art database systems, and finds that database implementations fail to support the
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needs of modern applications. Essentially, it argues that modern
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databases are too complex to be implemented (or understood)
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as a monolithic entity.
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It supports this argument with real-world evidence that suggests
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database servers are too unpredictable and unmanagable to
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scale up the size of today's systems. Similarly, they are a poor fit
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for small devices. SQL's declarative interface only complicates the
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situation.
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%In large systems, this manifests itself as
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%manageability and tuning issues that prevent databases from predictably
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%servicing diverse, large scale, declarative, workloads.
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%On small devices, footprint, predictable performance, and power consumption are
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%primary concerns that database systems do not address.
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%The survey argues that these problems cannot be adequately addressed without a fundamental shift in the architectures that underly database systems. Complete, modern database
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%implementations are generally incomprehensible and
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%irreproducible, hindering further research.
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The study concludes
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by suggesting the adoption of {\em RISC} database architectures, both as a resource for researchers and as a
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real-world database system.
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RISC databases have many elements in common with
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database toolkits. However, they take the database toolkit idea one
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step further, and suggest standardizing the interfaces of the
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toolkit's internal components, allowing multiple organizations to
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compete to improve each module. The idea is to produce a research
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platform that enables specialization and shares the effort required to build a full database~\cite{riscDB}.
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We agree with the motivations behind RISC databases and the goal
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of highly modular database implementations. In fact, we hope
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our system will mature to the point where it can support
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a competitive relational database. However this is
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not our primary goal, as we seek instead to enable a wider range of data management options.
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\eab{discuss "wider range"}
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%For example, large scale application such as web search, map services,
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%e-mail use databases to store unstructured binary data, if at all.
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%More recently, WinFS, Microsoft's database based
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%file meta data management system, has been replaced in favor of an
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%embedded indexing engine that imposes less structure (and provides
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%fewer consistency guarantees) than the original
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%proposal~\cite{needtocitesomething}.
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%Scaling to the very large doesn't work (SAP used DB2 as a hash table
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%for years), search engines, cad/VLSI didn't happen. scalable GIS
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%systems use shredded blobs (terraserver, google maps), scaling to many
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%was more difficult than implementing from scratch (winfs), scaling
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%down doesn't work (variance in performance, footprint),
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\section{Conventional Transactions in \yad}
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\rcs{This section is missing references to prior work. Bill mentioned
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PhD theses that talk about this layering, but I've been too busy
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coding to read them.}
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This section describes how \yad implements transactions that are
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similar to those provided by relational database systems. In addition
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to providing a review of how modern transactional systems function,
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this section lays out the functionality that \yad provides to the
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operations built on top of it. It also explains how \yads
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operations are roughly structured as two levels of abstraction.
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The transcational algorithms described in this section are not at all
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novel, and are in fact based on ARIES~\cite{aries}. However, they
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provide important background. Also, there is a large body of literature
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explaining optimizations and implementation techniques related to this
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type of recovery algorithm. Any good database textbook would cover these
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issues in more detail.
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The lower level of a \yad operation provides atomic
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updates to regions of the disk. These updates do not have to deal
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with concurrency, but the portion of the page file that they read and
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write must be atomically updated, even if the system crashes.
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The higher level atomically applies operations
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to the page file to provide operations that span multiple pages and
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copes with concurrency issues. Surprisingly, the implementations
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of these two layers are only loosely coupled.
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Finally, this section describes how \yad manages transaction-duration
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locks and discusses the alternatives \yad provides to application developers.
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\subsection{Atomic page file operations}
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Transactional storage algorithms work because they are able to
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atomically update portions of durable storage. These small atomic
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updates are used to bootstrap transactions that are too large to be
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applied atomically. In particular, write ahead logging (and therefore
|
|
\yad) relies on the ability to atomically write entries to the log
|
|
file.
|
|
|
|
\subsubsection{Hard drive behavior during a crash}
|
|
In practice, a write to a disk page is not atomic. Two common failure
|
|
modes exist. The first occurs when the disk writes a partial sector
|
|
to disk during a crash. In this case, the drive maintains an internal
|
|
checksum, detects a mismatch, and reports it when the page is read.
|
|
The second case occurs because pages span multiple sectors. Drives
|
|
may reorder writes on sector boundaries, causing an arbitrary subset
|
|
of a page's sectors to be updated during a crash.
|
|
|
|
{\em Torn page detection} can be used to detect this phenomonon. Torn
|
|
and corrupted pages may be recovered by restoring the page from
|
|
backup. For simplicity, this section ignores mechanisms that detect
|
|
and restore torn pages, and assumes that page writes are atomic.
|
|
While the techniques described in this section rely on the ability to
|
|
atomically update disk pages, this restriction is relaxed by other
|
|
recovery mechanisms.
|
|
|
|
|
|
\subsubsection{Extending \yad with new operations}
|
|
|
|
Figure~\ref{fig:structure} shows how custom operations interact with
|
|
\yad. If an application does not need to make use of concurrent
|
|
transactions, directly manipulating the page file is as simple as
|
|
ensuring that each update to the page file occurs inside of an
|
|
operation's implementation. Operation implementations must be invoked
|
|
by registering a callback with \yad at startup, and then calling {\em
|
|
Tupdate()} to invoke the operation at runtime. Each operation should
|
|
be deterministic, provide an inverse, and acquire all of its arguments
|
|
from a struct that is passed via Tupdate(). (Operations that affect
|
|
more than one page, and ones that do not provide inverses will be
|
|
described later.) The same callbacks are used during forward opertion
|
|
as during recovery. Therefore operations provide a single redo
|
|
function and a single undo function. (There is no ``do''
|
|
function.) This reduces the amount of recovery-specific code in the
|
|
system.
|
|
|
|
\subsubsection{\yads Recovery Algorithm}
|
|
|
|
Recovery relies upon the fact that each log entry is assigned a {\em
|
|
Log Sequence Number (LSN)}. The LSN is monitonically increasing and
|
|
unique. The LSN of the log entry that was most recently applied to
|
|
each page is stored with the page, allowing recovery to selectively
|
|
replay log entries. This only works if log entries change exactly one
|
|
page, and if they are applied to the page atomically.
|
|
|
|
Recovery occurs in three phases, Analysis, Redo and Undo.
|
|
``Analysis'' is beyond the scope of this paper. ``Redo'' plays the
|
|
log forward in time, applying any updates that did not make it to disk
|
|
before the system crashed. ``Undo'' runs the log backwards in time,
|
|
only applying portions that correspond to aborted transactions. This
|
|
section only considers physical undo. Section~\ref{sec:nta} describes
|
|
the distinction between physical and logical undo, and describes
|
|
logical undo. A summary of the stages of recovery and the invariants
|
|
they establish is presented in Figure~\ref{fig:conventional-recovery}.
|
|
|
|
Redo is the only phase that makes use of LSN's stored on pages.
|
|
It simply compares the page LSN to the LSN of each log entry. If the
|
|
log entry's LSN is higher than the page LSN, then the log entry is
|
|
applied. Otherwise, the log entry is skipped. Redo does not write
|
|
log entries to disk, as it is replaying events that have already been
|
|
recorded.
|
|
|
|
However, Undo does write log entries. In order to prevent repeated
|
|
crashes during recovery from causing the log to grow excessively, the
|
|
entries that Undo writes tell future invocations of Undo to skip
|
|
portions of the transaction that have already been undone. These log
|
|
entries are usually called {\em Compensation Log Records (CLR's)}.
|
|
Note that CLR's only cause Undo to skip log entries. Redo will apply
|
|
log entries protected by the CLR, guaranteeing that those updates are
|
|
applied to the page file.
|
|
|
|
There are many other schemes for page level recovery that we could
|
|
have chosen. The scheme desribed above has two particularly nice
|
|
properties. First, pages that were modified by active transactions
|
|
may be {\em stolen}; they may be written to disk before a transaction
|
|
completes. This allows transactions to use more memory than is
|
|
physically available, and makes it easier to flush frequently written
|
|
pages to disk. Second, pages do not need to be {\em forced}; a
|
|
transaction commits simply by flushing the log. If it had to force
|
|
pages to disk it would incur the cost of random I/O. Also, if
|
|
multiple transactions commit in a small window of time, the log only
|
|
needs to be forced to disk once.
|
|
|
|
\subsubsection{Alternatives to Steal / no-Force}
|
|
|
|
Note that the Redo phase of recovery allows \yad to avoid forcing
|
|
pages to disk, while Undo allows pages to be stolen. For some
|
|
applications, the overhead of logging information for Redo or Undo may
|
|
outweigh their benefits. \yads logging discipline provides a simple
|
|
solution to this problem. If a special-purpose operation wants to
|
|
avoid writing either the Redo or the Undo information to the log then
|
|
it can have the buffer manager pin the page or flush it at commit, and
|
|
simply omit the pertinent information from the log entries it
|
|
generates.
|
|
|
|
Recovery's Undo and Redo phases both will process the log entry, but
|
|
one of them will have no effect. If an operation chooses not to
|
|
provide a Redo implementation, then its Undo implementation will need
|
|
to determine whether or not the Redo was applied. If it omits Undo,
|
|
then Redo must consult recovery to see if it is part of a transaction that
|
|
committed.
|
|
|
|
\subsection{Concurrent Transactions}
|
|
|
|
\diff{Two factors make it more difficult to write operations that may be
|
|
used in concurrent transactions. The first is familiar to anyone that
|
|
has written multi-threaded code: Accesses to shared data structures
|
|
must be protected by latches (mutexes). The second problem stems from
|
|
the fact that concurrent transactions prevent abort from simply
|
|
rolling back the physical updates that a transaction made.
|
|
Fortunately, it is straightforward to reduce this second,
|
|
transaction-specific, problem to the familiar problem of writing
|
|
multi-threaded software.}
|
|
|
|
\rcs{This text needs to make the following two points: (1)Multi-page transactions break the
|
|
atomicity assumption because their results are not applied to disk
|
|
atomically. (2) Concurrent transactions break the assumption that a
|
|
series of physical undos is the inverse of a transaction. Nested top
|
|
actions restore these two broken invariants, but are orthoganol to the
|
|
mechanisms that apply the atomic updates.}
|
|
|
|
\rcs{Work this in too: Nested top actions work by
|
|
performing physical operations on a data structure, and then
|
|
registering a CLR. The CLR contains a logical undo entry for the
|
|
operation. When recovery and abort encounter a CLR they skip the
|
|
physical undo entries, and instead apply the logical undo.}
|
|
|
|
To understand the problems that arise with concurrent transactions,
|
|
consider what would happen if one transaction, A, rearranged the
|
|
layout of a data structure. Next, assume a second transaction, B,
|
|
modified that structure, and then A aborted. When A rolls back, its
|
|
UNDO entries will undo the rearrangement that it made to the data
|
|
structure, without regard to B's modifications. This is likely to
|
|
cause corruption.
|
|
|
|
Two common solutions to this problem are {\em total isolation} and
|
|
{\em nested top actions}. Total isolation simply prevents any
|
|
transaction from accessing a data structure that has been modified by
|
|
another in-progress transaction. An application can achieve this
|
|
using its own concurrency control mechanisms, or by holding a lock on
|
|
each data structure until the end of the transaction. Releasing the
|
|
lock after the modification, but before the end of the transaction,
|
|
increases concurrency. However, it means that follow-on transactions that use
|
|
that data may need to abort if a current transaction aborts ({\em
|
|
cascading aborts}). %Related issues are studied in great detail in terms of optimistic concurrency control~\cite{optimisticConcurrencyControl, optimisticConcurrencyPerformance}.
|
|
|
|
Unfortunately, the long locks held by total isolation cause bottlenecks when applied to key
|
|
data structures.
|
|
Nested top actions are essentially mini-transactions that can
|
|
commit even if their containing transaction aborts; thus follow-on
|
|
transactions can use the data structure without fear of cascading
|
|
aborts.
|
|
|
|
The key idea is to distinguish between the {\em logical operations} of a
|
|
data structure, such as inserting a key, and the {\em physical operations}
|
|
such as splitting tree nodes or or rebalancing a tree. The physical
|
|
operations do not need to be undone if the containing logical operation
|
|
(insert) aborts. \diff{We record such operations using {\em logical
|
|
logging} and {\em physical logging}, respectively.}
|
|
|
|
\diff{Each nested top action performs a single logical operation by applying
|
|
a number of physical operations to the page file. Physical REDO log
|
|
entries are stored in the log so that recovery can repair any
|
|
temporary inconsistency that the nested top action introduces.
|
|
Logical UNDO entries are recorded so that the nested top action can be
|
|
rolled back even if concurrent transactions manipulate the data
|
|
structure. Finally, physical UNDO entries are recorded so that
|
|
the nested top action may be rolled back if the system crashes before
|
|
it completes.}
|
|
|
|
This leads to a mechanical approach that converts non-reentrant
|
|
operations that do not support concurrent transactions into reentrant,
|
|
concurrent operations:
|
|
|
|
\begin{enumerate}
|
|
\item Wrap a mutex around each operation. With care, it is possible
|
|
to use finer-grained latches in a \yad operation, but it is rarely necessary.
|
|
\item Define a {\em logical} UNDO for each operation (rather than just
|
|
using a set of page-level UNDO's). For example, this is easy for a
|
|
hashtable: the UNDO for {\em insert} is {\em remove}. \diff{This logical
|
|
undo function should arrange to acquire the mutex when invoked by
|
|
abort or recovery.}
|
|
\item Add a ``begin nested
|
|
top action'' right after the mutex acquisition, and an ``end
|
|
nested top action'' right before the mutex is released. \diff{\yad provides a default nested top action implementation as an extension.}
|
|
\end{enumerate}
|
|
|
|
If the transaction that encloses a nested top action aborts, the
|
|
logical undo will {\em compensate} for the effects of the operation,
|
|
leaving structural changes intact. If a transaction should perform
|
|
some action regardless of whether or not it commits, a nested top
|
|
action with a ``no-op'' as its inverse is a convenient way of applying
|
|
the change. Nested top actions do not cause the log to be forced to disk, so
|
|
such changes will not be durable until the log is manually forced, or
|
|
until the updates eventually reach disk.
|
|
|
|
This section described how concurrent, thread-safe operations can be
|
|
developed. These operations provide building blocks for concurrent
|
|
transactions, and are fairly easy to develop. Therefore, they are
|
|
used throughout \yads default data structure implementations.
|
|
|
|
Interestingly, any mechanism that applies atomic physical updates to
|
|
the page file can be used as the basis of a nested top action.
|
|
However, concurrent operations are of little help if an application is
|
|
not able to safely combine them to create concurrent transactions.
|
|
|
|
\subsection{Application-specific Locking}
|
|
|
|
Note that the transactions described above only provide the
|
|
``Atomicity'' and ``Durability'' properties of ACID.\endnote{The ``A'' in ACID really means atomic persistence
|
|
of data, rather than atomic in-memory updates, as the term is normally
|
|
used in systems work; %~\cite{GR97};
|
|
the latter is covered by ``C'' and
|
|
``I''.} ``Isolation'' is
|
|
typically provided by locking, which is a higher-level (but
|
|
comaptible) layer. ``Consistency'' is less well defined but comes in
|
|
part from low-level mutexes that avoid races, and partially from
|
|
higher level constructs such as unique key requirements. \yad
|
|
supports this by distinguishing between {\em latches} and {\em locks}.
|
|
Latches are provided using operating system mutexes, and are held for
|
|
short periods of time. \yads default data structures use latches in a
|
|
way that avoids deadlock. This section will describe the latching
|
|
protocols that \yad makes use of, and describes two custom lock
|
|
managers that \yads allocation routines use to implement layout
|
|
policies and provide deadlock avoidance. Applications that want
|
|
conventional transactional isolation (serializability) can make
|
|
use of a lock manager. Alternatively, applications may follow
|
|
the example of \yads default data structures, and implement
|
|
deadlock avoidance, or other custom lock management schemes.\rcs{Citations here?}
|
|
|
|
This allows higher level code to treat \yad as a conventional
|
|
reentrant data structure library. It is the application's
|
|
responsibility to provide locking, whether it be via a database-style
|
|
lock manager, or an application-specific locking protocol. Note that
|
|
locking schemes may be layered. For example, when \yad allocates a
|
|
record, it first calls a region allocator that allocates contiguous
|
|
sets of pages, and then it allocates a record on one of those pages.
|
|
|
|
The record allocator and the region allocator each contain custom lock
|
|
management. If transaction A frees some storage, transaction B reuses
|
|
the storage and commits, and then transaction A aborts, then the
|
|
storage would be double allocated. The region allocator (which is
|
|
infrequently called, and not concerned with locality) records the id
|
|
of the transaction that created a region of freespace, and does not
|
|
coalesce or reuse any storage associated with an active transaction.
|
|
|
|
On the other hand, the record allocator is called frequently, and is
|
|
concerned with locality. Therefore, it associates a set of pages with
|
|
each transaction, and keeps track of deallocation events, making sure
|
|
that space on a page is never over reserved. Providing each
|
|
transaction with a seperate pool of freespace should increase
|
|
concurrency and locality. This allocation strategy was inspired by
|
|
Hoard, a malloc implementation for SMP machines.
|
|
|
|
Note that both lock managers have implementations that are tied to the
|
|
code they service, both implement deadlock avoidance, and both are
|
|
transparent to higher layers. General purpose database lock managers
|
|
provide none of these features, supporting the idea that special
|
|
purpose lock managers are a useful abstraction.\rcs{This would be a
|
|
good place to cite Bill and others on higher level locking protocols}
|
|
|
|
Locking is largely orthoganol to the concepts desribed in this paper.
|
|
We make no assumptions regarding lock managers being used by higher
|
|
level code in the remainder of this discussion.
|
|
|
|
\section{LSN-free pages.}
|
|
\label{sec:lsn-free}
|
|
The recovery algorithm described above uses LSN's to determine the
|
|
version number of each page during recovery. This is a common
|
|
technique. As far as we know, is used by all database systems that
|
|
update data in place. Unfortunately, this makes it difficult to map
|
|
large objects onto pages, as the LSN's break up the object. It
|
|
is tempting to store the LSN's elsewhere, but then they would not be
|
|
written atomically with their page, which defeats their purpose.~\eab{Fit in RVM?}
|
|
|
|
This section explains how we can avoid storing LSN's on pages in \yad
|
|
without giving up durable transactional updates. In the process, we
|
|
are able to relax the atomicity assumptions that we make regarding
|
|
writes to disk. These relaxed assumptions allow recovery to repair
|
|
torn pages without performing media recovery, and allow arbitrary
|
|
ranges of the page file to be updated by a single physical operation.
|
|
|
|
\yads implementation does not currently support the recovery algorithm
|
|
described in this section. However, \yad avoids hard-coding most of
|
|
the relevant subsytems. LSN-free pages are essentially an alternative
|
|
protocol for atomically and durably applying updates to the page file.
|
|
We plan to eventually support the coexistance of LSN-free pages,
|
|
traditional pages, and similar third-party modules within the same
|
|
page file, log, transactions, and even logical operations.
|
|
|
|
\subsection{Blind writes}
|
|
Recall that LSN's were introduced to prevent recovery from applying
|
|
updates more than once, and to prevent recovery from applying old
|
|
updates to newer versions of pages. This was necessary because some
|
|
operations that manipulate pages are not idempotent, or simply make
|
|
use of state stored in the page.
|
|
|
|
For example, logical operations that are constrained to a single page
|
|
(physiological operations) are often used in conventional transaction
|
|
systems, but are often not idempotent, and rely upon the consistency
|
|
of the page they modify. The recovery scheme described in this
|
|
section does not guarantee that such operations will be applied
|
|
exactly once, or even that they will be presented with a consistent
|
|
version of a page. Therefore, it is incompatible with physiological
|
|
operations.
|
|
|
|
Therefore, in this section we eliminate such operations and instead
|
|
make use of deterministic REDO operations that do not examine page
|
|
state. We call such operations ``blind writes.'' For concreteness,
|
|
assume that all physical operations produce log entries that contain a
|
|
set of byte ranges, and the pre- and post-value of each byte in the
|
|
range.
|
|
|
|
Recovery works the same way as it does above, except that is computes
|
|
a lower bound of each page LSN instead of reading the LSN from the
|
|
page. One possible lower bound is the LSN of the most recent log
|
|
truncation or checkpoint. Alternatively, \yad could occasionally
|
|
write information about the state of the buffer manager to the log. \rcs{This would be a good place for a figure}
|
|
|
|
Although the mechanism used for recovery is similar, the invariants
|
|
maintained during recovery have changed. With conventional
|
|
transactions, if a page in the page file is internally consistent
|
|
immediately after a crash, then the page will remain internally
|
|
consistent throughout the recovery process. This is not the case with
|
|
our LSN-free scheme. Internal page inconsistecies may be introduced
|
|
because recovery has no way of knowing which version of a page it is
|
|
dealing with. Therefore, it may overwrite new portions of a page with
|
|
older data from the log.
|
|
Therefore, the page will contain a mixture of new and old bytes, and
|
|
any data structures stored on the page may be inconsistent. However,
|
|
once the redo phase is complete, any old bytes will be overwritten by
|
|
their most recent values, so the page will contain an internally
|
|
consistent, up-to-date version of itself.
|
|
(Section~\ref{sec:torn-page} explains this in more detail.)
|
|
|
|
Once Redo completes, Undo can proceed normally, with one exception.
|
|
Like normal forward operation, the redo operations that it logs may
|
|
only perform blind-writes. Since logical undo operations are
|
|
generally implemented by producing a series of redo log entries
|
|
similar to those produced at runtime, we do not think this will be a
|
|
practical problem.
|
|
|
|
The rest of this section describes how concurrent, LSN-free pages
|
|
allow standard filesystem and database optimizations to be easily
|
|
combined, and shows that the removal of LSN's from pages actually
|
|
simplifies some aspects of recovery.
|
|
|
|
\subsection{Zero-copy I/O}
|
|
|
|
We originally developed LSN-free pages as an efficient method for
|
|
transactionally storing and updating large (multi-page) objects. If a
|
|
large object is stored in pages that contain LSN's, then in order to
|
|
read that large object the system must read each page individually,
|
|
and then use the CPU to perform a byte-by-byte copy of the portions of
|
|
the page that contain object data into a second buffer.
|
|
|
|
Compare this approach to modern filesystems, which allow applications to
|
|
perform a DMA copy of the data into memory, avoiding the expensive
|
|
byte-by-byte copy, and allowing the CPU to be used for
|
|
more productive purposes. Furthermore, modern operating systems allow
|
|
network services to use DMA and network adaptor hardware to read data
|
|
from disk, and send it over a network socket without passing it
|
|
through the CPU. Again, this frees the CPU, allowing it to perform
|
|
other tasks.
|
|
|
|
We believe that LSN-free pages will allow reads to make use of such
|
|
optimizations in a straightforward fashion. Zero copy writes are more challenging, but could be
|
|
performed by performing a DMA write to a portion of the log file.
|
|
However, doing this complicates log truncation, and does not address
|
|
the problem of updating the page file. We suspect that contributions
|
|
from the log based filesystem~\cite{lfs} literature can address these problems.
|
|
In particular, we imagine storing
|
|
portions of the log (the portion that stores the blob) in the
|
|
page file, or other addressable storage. In the worst case,
|
|
the blob would have to be relocated in order to defragment the
|
|
storage. Assuming the blob was relocated once, this would amount
|
|
to a total of three, mostly sequential disk operations. (Two
|
|
writes and one read.) However, in the best case, the blob would only be written once.
|
|
In contrast, conventional blob implementations generally write the blob twice.
|
|
|
|
Alternatively, we could use DMA to overwrite the blob in the page file
|
|
in a non-atomic fashion, providing filesystem style semantics.
|
|
(Existing database servers often provide this mode based on the
|
|
observation that many blobs are static data that does not really need
|
|
to be updated transactionally.~\cite{sqlserver}) Of course, \yad could
|
|
also support other approaches to blob storage, such as B-Tree layouts
|
|
that allow arbitrary insertions and deletions in the middle of
|
|
objects~\cite{esm}.
|
|
|
|
\subsection{Concurrent recoverable virtual memory}
|
|
|
|
Our LSN-free pages are somewhat similar to the recovery scheme used by
|
|
RVM, recoverable virtual memory. That system used purely physical
|
|
logging and LSN-free pages so that it could use mmap() to map portions
|
|
of the page file into application memory\cite{lrvm}. However, without
|
|
support for logical log entries and nested top actions, it would be
|
|
difficult to implement a concurrent, durable data structure using RVM.
|
|
|
|
In contrast, LSN-free pages allow for logical undo, allowing for the
|
|
use of nested top actions and concurrent transactions.
|
|
|
|
We plan to add RVM style transactional memory to \yad in a way that is
|
|
compatible with fully concurrent collections such as hash tables and
|
|
tree structures. Of course, since \yad will support coexistance of
|
|
conventional and LSN-free pages, applications would be free to use the
|
|
\yad data structure implementations as well.
|
|
|
|
\subsection{Page-independent transactions}
|
|
\rcs{I don't like this section heading...} Recovery schemes that make
|
|
use of per-page LSN's assume that each page is written to disk
|
|
atomically even though that is generally not the case. Such schemes
|
|
deal with this problem by using page formats that allow partially
|
|
written pages to be detected. Media recovery allows them to recover
|
|
these pages. \rcs{This would be a good place to explain exactly how media recovery works. Old text: Like ARIES, \yad can recover lost pages in the page
|
|
file by reinitializing the page to zero, and playing back the entire
|
|
log. In practice, a system administrator would periodically back up
|
|
the page file, thus enabling log truncation and shortening recovery
|
|
time.}
|
|
|
|
The Redo phase of the LSN-free recovery algorithm actually creates a
|
|
torn page each time it applies an old log entry to a new page.
|
|
However, it guarantees that all such torn pages will be repaired by
|
|
the time Redo completes. In the process, it also repairs any pages
|
|
that were torn by a crash. Instead of relying upon atomic page
|
|
updates, LSN-free recovery relies upon a weaker property.
|
|
|
|
For LSN-free recovery to work properly after a crash, each bit in
|
|
persistent storage must be either:
|
|
|
|
\begin{enumerate}
|
|
\item The old version of a bit that was being overwritten during a crash.
|
|
\item The newest version of the bit written to storage.
|
|
\item Detectably corrupt (the storage hardware issues an error when the
|
|
bit is read).
|
|
\end{enumerate}
|
|
|
|
Modern drives provide these properties at a sector level: Each sector
|
|
is atomically updated, or it fails a checksum when read, triggering an
|
|
error. If a sector is found to be corrupt, then media recovery can be
|
|
used to restore the sector from the most recent backup.
|
|
|
|
Figure~\ref{fig:todo} provides an example page, and a number of log
|
|
entries that were applied to it. Assume that the initial version of
|
|
the page, with LSN $0$, is on disk, and the disk is in the process of
|
|
writing out the version with LSN $2$ when the system crashes. When
|
|
recovery reads the page from disk, it may encounter any combination of
|
|
sectors from these two versions.
|
|
|
|
Note that the first and last two sectors are not overwritten by any
|
|
of the log entries that Redo will play back. Therefore, their value
|
|
is unchanged in both versions of the page. Since Redo will not change
|
|
them, we know that they will have the correct value when it completes.
|
|
The remainder of the sectors are overwritten at some point in the log.
|
|
If we constrain the updates to overwrite an entire page at once, then
|
|
the initial on-disk value of these sectors would not have any affect
|
|
on the outcome of Redo. Furthermore, since the redo entries are
|
|
played back in order, each sector would contain the most up to date
|
|
version after redo.
|
|
|
|
Of course, we do not want to constrain log entries to update entire
|
|
sectors at once. In order to support finer grained logging, we simply
|
|
repeat the above argument on the byte or bit level. Each bit is
|
|
either overwritten by redo, or has a known, correct, value before
|
|
redo. Since all operations performed by redo are blind writes, they
|
|
can be applied regardless of whether the page is logically consistent.
|
|
|
|
Since LSN-free recovery only relies upon atomic updates at the bit
|
|
level, it prevents pages from becoming a limit to the size of atomic
|
|
page file updates. This allows operations to atomically manipulate
|
|
(potentially non-contiguous) regions of arbitrary size by producing a
|
|
single log entry. If this log entry includes a logical undo function
|
|
(rather than a physical undo), then it can serve the purpose of a
|
|
nested top action without incurring the extra log bandwidth of storing
|
|
physical undo information. Such optimizations can be implemented
|
|
using conventional transactions, but they appear to be easier to
|
|
implement and reason about when applied to LSN-free pages.
|
|
|
|
\section{Transactional Pages}
|
|
|
|
\rcs{This was weak, but we still don't explain what we mean by ``bottom up'' approach.'' Section~\ref{sec:notDB} described the ways in which a top-down data model
|
|
limits the generality and flexibility of databases. In this section,
|
|
we cover the basic bottom-up approach of \yad: {\em transactional
|
|
pages}. Although similar to the underlying write-ahead-logging
|
|
approaches of databases, particularly ARIES~\cite{aries}, \yads
|
|
bottom-up approach yields unexpected flexibility.}
|
|
|
|
\subsection{Blind Writes}
|
|
\label{sec:blindWrites}
|
|
\rcs{Somewhere in the description of conventional transactions, emphasize existing transactional storage systems' tendancy to hard code recommended page formats, data structures, etc.}
|
|
|
|
\rcs{All the text in this section is orphaned, but should be worked in elsewhere.}
|
|
|
|
We call such pages ``LSN-free'' pages. Although this technique is
|
|
novel for databases, it resembles the mechanism used by
|
|
RVM~\cite{lrvm}; \yad generalizes the concept and allows it to
|
|
co-exist with traditional pages. Furthermore, efficient recovery and
|
|
log truncation require only minor modifications to our recovery
|
|
algorithm. In practice, this is implemented by providing a buffer manager callback
|
|
for LSN free pages. The callback computes a
|
|
conservative estimate of the page's LSN whenever the page is read from disk.
|
|
For a less conservative estimate, it suffices to write a page's LSN to
|
|
the log shortly after the page itself is written out; on recovery the
|
|
log entry is thus a conservative but close estimate.
|
|
|
|
Section~\ref{sec:zeroCopy} explains how LSN-free pages led us to new
|
|
approaches for recoverable virtual memory and for large object storage.
|
|
Section~\ref{sec:oasys} uses blind writes to efficiently update records
|
|
on pages that are manipulated using more general operations. \diff{We
|
|
have not yet implemented LSN-free pages, so our experimental setup mimics
|
|
their behavior.}
|
|
|
|
\diff{Also note that while LSN-free pages assume that only bits that
|
|
are being updated will change, they do not assume that disk writes are
|
|
atomic. Most disks do not atomically update more a single 512-byte
|
|
sector at a time. However, most database systems make use of pages
|
|
that are larger than 512 bytes. Recovery schemes that rely upon LSN
|
|
fields in pages must detect and deal with torn pages
|
|
directly~\cite{tornPageStuffMohan}. Because LSN-free page recovery
|
|
does not assume page writes are atomic, it handles torn pages with no
|
|
extra effort.}
|
|
|
|
\rcs{ (Why was this marked to be deleted? It needs to be moved somewhere else....)
|
|
Although the extensions that it proposes
|
|
require a fair amount of knowledge about transactional logging
|
|
schemes, our initial experience customizing the system for various
|
|
applications is positive. We believe that the time spent customizing
|
|
the library is less than amount of time that it would take to work
|
|
around typical problems with existing transactional storage systems.
|
|
}
|
|
|
|
|
|
|
|
\section{Extending \yad}
|
|
\subsection{Adding log operations}
|
|
\label{sec:wal}
|
|
|
|
\rcs{This section needs to be merged into the new text. For now, it's an orphan.}
|
|
|
|
\yad allows application developers to easily add new operations to the
|
|
system. Many of the customizations described below can be implemented
|
|
using custom log operations. In this section, we describe how to implement an
|
|
``ARIES style'' concurrent, steal/no-force operation using
|
|
\diff{physical redo, logical undo} and per-page LSN's.
|
|
Such operations are typical of high-performance commercial database
|
|
engines.
|
|
|
|
As we mentioned above, \yad operations must implement a number of
|
|
functions. Figure~\ref{fig:structure} describes the environment that
|
|
schedules and invokes these functions. The first step in implementing
|
|
a new set of log interfaces is to decide upon an interface that these log
|
|
interfaces will export to callers outside of \yad.
|
|
|
|
\begin{figure}
|
|
\includegraphics[%
|
|
width=1\columnwidth]{figs/structure.pdf}
|
|
\caption{\sf\label{fig:structure} The portions of \yad that directly interact with new operations.}
|
|
\end{figure}
|
|
|
|
The externally visible interface is implemented by wrapper functions
|
|
and read-only access methods. The wrapper function modifies the state
|
|
of the page file by packaging the information that will be needed for
|
|
undo and redo into a data format of its choosing. This data structure
|
|
is passed into Tupdate(). Tupdate() copies the data to the log, and
|
|
then passes the data into the operation's REDO function.
|
|
|
|
REDO modifies the page file directly (or takes some other action). It
|
|
is essentially an interpreter for the log entries it is associated
|
|
with. UNDO works analogously, but is invoked when an operation must
|
|
be undone (usually due to an aborted transaction, or during recovery).
|
|
|
|
This pattern applies in many cases. In
|
|
order to implement a ``typical'' operation, the operations
|
|
implementation must obey a few more invariants:
|
|
|
|
\begin{itemize}
|
|
\item Pages should only be updated inside REDO and UNDO functions.
|
|
\item Page updates atomically update the page's LSN by pinning the page.
|
|
\item If the data seen by a wrapper function must match data seen
|
|
during REDO, then the wrapper should use a latch to protect against
|
|
concurrent attempts to update the sensitive data (and against
|
|
concurrent attempts to allocate log entries that update the data).
|
|
\item Nested top actions (and logical undo), or ``big locks'' (total isolation but lower concurrency) should be used to implement multi-page updates. (Section~\ref{sec:nta})
|
|
\end{itemize}
|
|
|
|
\section{Experiments}
|
|
\subsection{Experimental setup}
|
|
|
|
|
|
|
|
\label{sec:experimental_setup}
|
|
|
|
We chose Berkeley DB in the following experiments because, among
|
|
commonly used systems, it provides transactional storage primitives
|
|
that are most similar to \yad. Also, Berkeley DB is designed to provide high
|
|
performance and high concurrency. For all tests, the two libraries
|
|
provide the same transactional semantics, unless explicitly noted.
|
|
|
|
All benchmarks were run on an Intel Xeon 2.8 GHz with 1GB of RAM and a
|
|
10K RPM SCSI drive formatted using with ReiserFS~\cite{reiserfs}.\endnote{We found that the
|
|
relative performance of Berkeley DB and \yad under single threaded testing is sensitive to
|
|
filesystem choice, and we plan to investigate the reasons why the
|
|
performance of \yad under ext3 is degraded. However, the results
|
|
relating to the \yad optimizations are consistent across filesystem
|
|
types.} All results correspond to the mean of multiple runs with a
|
|
95\% confidence interval with a half-width of 5\%.
|
|
|
|
We used Berkeley DB 4.2.52 as it existed in Debian Linux's testing
|
|
branch during March of 2005, with the flags DB\_TXN\_SYNC, and
|
|
DB\_THREAD enabled. These flags were chosen to match Berkeley DB's
|
|
configuration to \yads as closely as possible. In cases where
|
|
Berkeley DB implements a feature that is not provided by \yad, we
|
|
only enable the feature if it improves Berkeley DB's performance.
|
|
|
|
Optimizations to Berkeley DB that we performed included disabling the
|
|
lock manager, though we still use ``Free Threaded'' handles for all
|
|
tests. This yielded a significant increase in performance because it
|
|
removed the possibility of transaction deadlock, abort, and
|
|
repetition. However, disabling the lock manager caused highly
|
|
concurrent Berkeley DB benchmarks to become unstable, suggesting either a
|
|
bug or misuse of the feature.
|
|
|
|
With the lock manager enabled, Berkeley
|
|
DB's performance in the multithreaded test in Section~\ref{sec:lht} strictly decreased with
|
|
increased concurrency. (The other tests were single-threaded.) We also
|
|
increased Berkeley DB's buffer cache and log buffer sizes to match
|
|
\yads default sizes.
|
|
|
|
We expended a considerable effort tuning Berkeley DB, and our efforts
|
|
significantly improved Berkeley DB's performance on these tests.
|
|
Although further tuning by Berkeley DB experts would probably improve
|
|
Berkeley DB's numbers, we think that we have produced a reasonably
|
|
fair comparison. The results presented here have been reproduced on
|
|
multiple machines and file systems.
|
|
|
|
\subsection{Linear hash table}
|
|
\label{sec:lht}
|
|
\begin{figure}[t]
|
|
\includegraphics[%
|
|
width=1\columnwidth]{figs/bulk-load.pdf}
|
|
%\includegraphics[%
|
|
% width=1\columnwidth]{bulk-load-raw.pdf}
|
|
%\vspace{-30pt}
|
|
\caption{\sf\label{fig:BULK_LOAD} Performance of \yad and Berkeley DB hashtable implementations. The
|
|
test is run as a single transaction, minimizing overheads due to synchronous log writes.}
|
|
\end{figure}
|
|
\begin{figure}[t]
|
|
%\hspace*{18pt}
|
|
%\includegraphics[%
|
|
% width=1\columnwidth]{tps-new.pdf}
|
|
\includegraphics[%
|
|
width=1\columnwidth]{figs/tps-extended.pdf}
|
|
%\vspace{-36pt}
|
|
\caption{\sf\label{fig:TPS} High concurrency performance of Berkeley DB and \yad. We were unable to get Berkeley DB to work correctly with more than 50 threads. (See text)
|
|
}
|
|
\end{figure}
|
|
|
|
Although the beginning of this paper describes the limitations of
|
|
physical database models and relational storage systems in great
|
|
detail, these systems are the basis of most common transactional
|
|
storage routines. Therefore, we implement a key-based access
|
|
method in this section. We argue that
|
|
obtaining reasonable performance in such a system under \yad is
|
|
straightforward. We then compare our simple, straightforward
|
|
implementation to our hand-tuned version and Berkeley DB's implementation.
|
|
|
|
The simple hash table uses nested top actions to atomically update its
|
|
internal structure. It uses a {\em linear} hash function~\cite{lht}, allowing
|
|
it to incrementally grow its buffer list. It is based on a number of
|
|
modular subcomponents. Notably, its bucket list is a growable array
|
|
of fixed length entries (a linkset, in the terms of the physical
|
|
database model) and the user's choice of two different linked list
|
|
implementations.
|
|
|
|
The hand-tuned hashtable also uses a linear hash
|
|
function. However, it is monolithic and uses carefully ordered writes to
|
|
reduce runtime overheads such as log bandwidth. Berkeley DB's
|
|
hashtable is a popular, commonly deployed implementation, and serves
|
|
as a baseline for our experiments.
|
|
|
|
Both of our hashtables outperform Berkeley DB on a workload that
|
|
bulk loads the tables by repeatedly inserting (key, value) pairs.
|
|
%although we do not wish to imply this is always the case.
|
|
%We do not claim that our partial implementation of \yad
|
|
%generally outperforms, or is a robust alternative
|
|
%to Berkeley DB. Instead, this test shows that \yad is comparable to
|
|
%existing systems, and that its modular design does not introduce gross
|
|
%inefficiencies at runtime.
|
|
The comparison between the \yad implementations is more
|
|
enlightening. The performance of the simple hash table shows that
|
|
straightforward data structure implementations composed from
|
|
simpler structures can perform as well as the implementations included
|
|
in existing monolithic systems. The hand-tuned
|
|
implementation shows that \yad allows application developers to
|
|
optimize key primitives.
|
|
|
|
% I cut this because Berkeley db supports custom data structures....
|
|
|
|
%In the
|
|
%best case, past systems allowed application developers to provide
|
|
%hints to improve performance. In the worst case, a developer would be
|
|
%forced to redesign and application to avoid sub-optimal properties of
|
|
%the transactional data structure implementation.
|
|
|
|
Figure~\ref{fig:TPS} describes the performance of the two systems under
|
|
highly concurrent workloads. For this test, we used the simple
|
|
(unoptimized) hash table, since we are interested in the performance of a
|
|
clean, modular data structure that a typical system implementor might
|
|
produce, not the performance of our own highly tuned,
|
|
monolithic implementations.
|
|
|
|
Both Berkeley DB and \yad can service concurrent calls to commit with
|
|
a single synchronous I/O.\endnote{The multi-threaded benchmarks
|
|
presented here were performed using an ext3 filesystem, as high
|
|
concurrency caused both Berkeley DB and \yad to behave unpredictably
|
|
when ReiserFS was used. However, \yads multi-threaded throughput
|
|
was significantly better that Berkeley DB's under both filesystems.}
|
|
\yad scaled quite well, delivering over 6000 transactions per
|
|
second,\endnote{The concurrency test was run without lock managers, and the
|
|
transactions obeyed the A, C, and D properties. Since each
|
|
transaction performed exactly one hashtable write and no reads, they also
|
|
obeyed I (isolation) in a trivial sense.} and provided roughly
|
|
double Berkeley DB's throughput (up to 50 threads). We do not report
|
|
the data here, but we implemented a simple load generator that makes
|
|
use of a fixed pool of threads with a fixed think time. We found that
|
|
the latency of Berkeley DB and \yad were similar, showing that \yad is
|
|
not simply trading latency for throughput during the concurrency benchmark.
|
|
|
|
|
|
\begin{figure*}
|
|
\includegraphics[width=1\columnwidth]{figs/object-diff.pdf}
|
|
\hspace{.2in}
|
|
\includegraphics[width=1\columnwidth]{figs/mem-pressure.pdf}
|
|
\vspace{-.15in}
|
|
\caption{\sf \label{fig:OASYS}
|
|
The effect of \yad object serialization optimizations under low and high memory pressure.}
|
|
\end{figure*}
|
|
|
|
\subsection{Object persistence}
|
|
\label{sec:oasys}
|
|
Numerous schemes are used for object serialization. Support for two
|
|
different styles of object serialization have been implemented in
|
|
\yad. We could have just as easily implemented a persistence
|
|
mechanism for a statically typed functional programming language, a
|
|
dynamically typed scripting language, or a particular application,
|
|
such as an email server. In each case, \yads lack of a hard-coded data
|
|
model would allow us to choose the representation and transactional
|
|
semantics that make the most sense for the system at hand.
|
|
|
|
The first object persistence mechanism, pobj, provides transactional updates to objects in
|
|
Titanium, a Java variant. It transparently loads and persists
|
|
entire graphs of objects, but will not be discussed in further detail.
|
|
|
|
The second variant was built on top of a C++ object
|
|
serialization library, \oasys. \oasys makes use of pluggable storage
|
|
modules that implement persistent storage, and includes plugins
|
|
for Berkeley DB and MySQL.
|
|
|
|
This section will describe how the \yad
|
|
\oasys plugin reduces amount of data written to log, while using half as much system
|
|
memory as the other two systems.
|
|
|
|
We present three variants of the \yad plugin here. The first treats \yad like
|
|
Berkeley DB. The second, ``update/flush'' customizes the behavior of the buffer
|
|
manager. Instead of maintaining an up-to-date version of each object
|
|
in the buffer manager or page file, it allows the buffer manager's
|
|
view of live application objects to become stale. This is safe since
|
|
the system is always able to reconstruct the appropriate page entry
|
|
from the live copy of the object.
|
|
|
|
By allowing the buffer manager to contain stale data, we reduce the
|
|
number of times the \yad \oasys plugin must update serialized objects in the buffer manager.
|
|
% Reducing the number of serializations decreases
|
|
%CPU utilization, and it also
|
|
This allows us to drastically decrease the
|
|
size of the page file. In turn this allows us to increase the size of
|
|
the application's cache of live objects.
|
|
|
|
We implemented the \yad buffer-pool optimization by adding two new
|
|
operations, update(), which only updates the log, and flush(), which
|
|
updates the page file.
|
|
|
|
The reason it would be difficult to do this with Berkeley DB is that
|
|
we still need to generate log entries as the object is being updated.
|
|
Otherwise, commit would not be durable, unless we queued up log
|
|
entries, and wrote them all before committing.
|
|
This would cause Berkeley DB to write data back to the
|
|
page file, increasing the working set of the program, and increasing
|
|
disk activity.
|
|
|
|
Furthermore, objects may be written to disk in an
|
|
order that differs from the order in which they were updated,
|
|
violating one of the write-ahead-logging invariants. One way to
|
|
deal with this is to maintain multiple LSN's per page. This means we would need to register a
|
|
callback with the recovery routine to process the LSN's (a similar
|
|
callback will be needed in Section~\ref{sec:zeroCopy}), and
|
|
extend \yads page format to contain per-record LSN's.
|
|
Also, we must prevent \yads storage allocation routine from overwriting the per-object
|
|
LSN's of deleted objects that may still be addressed during abort or recovery.
|
|
|
|
Alternatively, we could arrange for the object pool to cooperate
|
|
further with the buffer pool by atomically updating the buffer
|
|
manager's copy of all objects that share a given page, removing the
|
|
need for multiple LSN's per page, and simplifying storage allocation.
|
|
|
|
However, the simplest solution, and the one we take here, is based on the observation that
|
|
updates (not allocations or deletions) of fixed length objects are blind writes.
|
|
This allows us to do away with per-object LSN's entirely. Allocation and deletion can then be handled
|
|
as updates to normal LSN containing pages. At recovery time, object
|
|
updates are executed based on the existence of the object on the page
|
|
and a conservative estimate of its LSN. (If the page doesn't contain
|
|
the object during REDO then it must have been written back to disk
|
|
after the object was deleted. Therefore, we do not need to apply the
|
|
REDO.) This means that the system can ``forget'' about objects that
|
|
were freed by committed transactions, simplifying space reuse
|
|
tremendously.
|
|
|
|
The third \yad plugin, ``delta'' incorporates the buffer
|
|
manager optimizations. However, it only writes the changed portions of
|
|
objects to the log. Because of \yads support for custom log entry
|
|
formats, this optimization is straightforward.
|
|
|
|
%In addition to the buffer-pool optimizations, \yad provides several
|
|
%options to handle UNDO records in the context
|
|
%of object serialization. The first is to use a single transaction for
|
|
%each object modification, avoiding the cost of generating or logging
|
|
%any UNDO records. The second option is to assume that the
|
|
%application will provide a custom UNDO for the delta,
|
|
%which increases the size of the log entry generated by each update,
|
|
%but still avoids the need to read or update the page
|
|
%file.
|
|
%
|
|
%The third option is to relax the atomicity requirements for a set of
|
|
%object updates and again avoid generating any UNDO records. This
|
|
%assumes that the application cannot abort individual updates,
|
|
%and is willing to
|
|
%accept that some prefix of logged but uncommitted updates may
|
|
%be applied to the page
|
|
%file after recovery.
|
|
|
|
\oasys does not export transactions to its callers. Instead, it
|
|
is designed to be used in systems that stream objects over an
|
|
unreliable network connection. Each object update corresponds to an
|
|
independent message, so there is never any reason to roll back an
|
|
applied object update. On the other hand, \oasys does support a
|
|
flush method, which guarantees the durability of updates after it
|
|
returns. In order to match these semantics as closely as possible,
|
|
\yads update/flush and delta optimizations do not write any
|
|
undo information to the log.
|
|
|
|
These ``transactions'' are still durable
|
|
after commit, as commit forces the log to disk.
|
|
%For the benchmarks below, we
|
|
%use this approach, as it is the most aggressive and is
|
|
As far as we can tell, MySQL and Berkeley DB do not support this
|
|
optimization in a straightforward fashion. (``Auto-commit'' comes
|
|
close, but does not quite provide the correct durability semantics.)
|
|
%not supported by any other general-purpose transactional
|
|
%storage system (that we know of).
|
|
|
|
The operations required for these two optimizations required
|
|
150 lines of C code, including whitespace, comments and boilerplate
|
|
function registrations.\endnote{These figures do not include the
|
|
simple LSN free object logic required for recovery, as \yad does not
|
|
yet support LSN free operations.} Although the reasoning required
|
|
to ensure the correctness of this code is complex, the simplicity of
|
|
the implementation is encouraging.
|
|
|
|
In this experiment, Berkeley DB was configured as described above. We
|
|
ran MySQL using InnoDB for the table engine. For this benchmark, it
|
|
is the fastest engine that provides similar durability to \yad. We
|
|
linked the benchmark's executable to the libmysqld daemon library,
|
|
bypassing the RPC layer. In experiments that used the RPC layer, test
|
|
completion times were orders of magnitude slower.
|
|
|
|
Figure~\ref{fig:OASYS} presents the performance of the three
|
|
\yad optimizations, and the \oasys plugins implemented on top of other
|
|
systems. As we can see, \yad performs better than the baseline
|
|
systems, which is not surprising, since it is not providing the A
|
|
property of ACID transactions. (Although it is applying each individual operation atomically.)
|
|
|
|
In non-memory bound systems, the optimizations nearly double \yads
|
|
performance by reducing the CPU overhead of object serialization and
|
|
the number of log entries written to disk. In the memory bound test,
|
|
we see that update/flush indeed improves memory utilization.
|
|
|
|
|
|
\subsection{Manipulation of logical log entries}
|
|
\label{sec:logging}
|
|
\begin{figure}
|
|
\includegraphics[width=1\columnwidth]{figs/graph-traversal.pdf}
|
|
\vspace{-24pt}
|
|
\caption{\sf\label{fig:multiplexor} Because pages are independent, we
|
|
can reorder requests among different pages. Using a log demultiplexer,
|
|
we partition requests into independent queues, which can be
|
|
handled in any order, improving locality and merging opportunities.}
|
|
\end{figure}
|
|
\begin{figure}[t]
|
|
\includegraphics[width=1\columnwidth]{figs/oo7.pdf}
|
|
\vspace{-15pt}
|
|
\caption{\sf\label{fig:oo7} oo7 benchmark style graph traversal. The optimization performs well due to the presence of non-local nodes.}
|
|
\end{figure}
|
|
|
|
\begin{figure}[t]
|
|
\includegraphics[width=1\columnwidth]{figs/trans-closure-hotset.pdf}
|
|
\vspace{-12pt}
|
|
\caption{\sf\label{fig:hotGraph} Hot set based graph traversal for random graphs with out-degrees of 3 and 9. Here
|
|
we see that the multiplexer helps when the graph has poor locality.
|
|
In the cases where depth first search performs well, the
|
|
reordering is inexpensive.}
|
|
\end{figure}
|
|
|
|
Database optimizers operate over relational algebra expressions that
|
|
correspond to logical operations over streams of data. \yad
|
|
does not provide query languages, relational algebra, or other such query processing primitives.
|
|
|
|
However, it does include an extensible logging infrastructure.
|
|
Furthermore, \diff{most operations that support concurrent transactions already
|
|
provide logical UNDO (and therefore logical REDO, if each operation has an
|
|
inverse).}
|
|
%many
|
|
%operations that make use of physiological logging implicitly
|
|
%implement UNDO (and often REDO) functions that interpret logical
|
|
%requests.
|
|
|
|
Logical operations often have some nice properties that this section
|
|
will exploit. Because they can be invoked at arbitrary times in the
|
|
future, they tend to be independent of the database's physical state.
|
|
Often, they correspond to operations that programmers understand.
|
|
|
|
Because of this, application developers can easily determine whether
|
|
logical operations may be reordered, transformed, or even
|
|
dropped from the stream of requests that \yad is processing.
|
|
|
|
If requests can be partitioned in a natural way, load
|
|
balancing can be implemented by splitting requests across many nodes.
|
|
Similarly, a node can easily service streams of requests from multiple
|
|
nodes by combining them into a single log, and processing the log
|
|
using operation implementations. For example, this type of optimization
|
|
is used by RVM's log-merging operations~\cite{lrvm}.
|
|
|
|
Furthermore, application-specific
|
|
procedures that are analogous to standard relational algebra methods
|
|
(join, project and select) could be used to efficiently transform the data
|
|
while it is still layed out sequentially
|
|
in non-transactional memory.
|
|
|
|
%Note that read-only operations do not necessarily generate log
|
|
%entries. Therefore, applications may need to implement custom
|
|
%operations to make use of the ideas in this section.
|
|
|
|
%Although \yad has rudimentary support for a \diff{cluster hash table\cite{cht}} that uses
|
|
%two-phase commit to recover from node crashes}, we have not yet implemented networking primitives for logical logs.
|
|
\rcs{Cut sentence about two-phase commit cluster hash table, networking primitves for logical logs.}
|
|
Therefore, we implemented a single node log-reordering scheme that increases request locality
|
|
during the traversal of a random graph. The graph traversal system
|
|
takes a sequence of (read) requests, and partitions them using some
|
|
function. It then processes each partition in isolation from the
|
|
others. We considered two partitioning functions. The first divides the page file
|
|
into equally sized contiguous regions, which increases locality. The second takes the hash
|
|
of the page's offset in the file, which enables load balancing.
|
|
%% The second policy is interesting
|
|
%The first, partitions the
|
|
%requests according to the hash of the node id they refer to, and would be useful for load balancing over a network.
|
|
%(We expect the early phases of such a traversal to be bandwidth, not
|
|
%latency limited, as each node would stream large sequences of
|
|
%asynchronous requests to the other nodes.)
|
|
|
|
Our benchmarks partition requests by location. We chose the
|
|
position size so that each partition can fit in \yads buffer pool.
|
|
|
|
We ran two experiments. Both stored a graph of fixed size objects in
|
|
the growable array implementation that is used as our linear
|
|
hashtable's bucket list.
|
|
The first experiment (Figure~\ref{fig:oo7})
|
|
is loosely based on the oo7 database benchmark.~\cite{oo7}. We
|
|
hard-code the out-degree of each node, and use a directed graph. OO7
|
|
constructs graphs by first connecting nodes together into a ring.
|
|
It then randomly adds edges between the nodes until the desired
|
|
out-degree is obtained. This structure ensures graph connectivity.
|
|
If the nodes are laid out in ring order on disk then it also ensures that
|
|
one edge from each node has good locality while the others generally
|
|
have poor locality.
|
|
|
|
The second experiment explicitly measures the effect of graph locality
|
|
on our optimization (Figure~\ref{fig:hotGraph}). It extends the idea
|
|
of a hot set to graph generation. Each node has a distinct hot set
|
|
that includes the 10\% of the nodes that are closest to it in ring
|
|
order. The remaining nodes are in the cold set. We use random edges
|
|
instead of ring edges for this test. This does not ensure graph
|
|
connectivity, but we used the same random seeds for the two systems.
|
|
|
|
When the graph has good locality, a normal depth first search
|
|
traversal and the prioritized traversal both perform well. The
|
|
prioritized traversal is slightly slower due to the overhead of extra
|
|
log manipulation. As locality decreases, the partitioned traversal
|
|
algorithm's outperforms the naive traversal.
|
|
|
|
|
|
\section{Related Work}
|
|
|
|
This paper has described a number of custom transactional storage
|
|
extensions, and explained why can \yad support them. This section
|
|
will describe existing ideas in the literature that we would like to
|
|
incorporate into \yad. An overview of database systems that have
|
|
goals similar to our own is in Section~\ref{sec:otherDBs}.
|
|
|
|
Different large object storage systems provide different API's.
|
|
Some allow arbitrary insertion and deletion of bytes~\cite{esm} or
|
|
pages~\cite{sqlserver} within the object, while typical filesystems
|
|
provide append-only storage allocation~\cite{ffs}.
|
|
Record-oriented file systems are an older, but still-used~\cite{gfs}
|
|
alternative. Each of these API's addresses
|
|
different workloads.
|
|
|
|
Although most filesystems attempt to lay out data in logically sequential
|
|
order, write-optimized filesystems lay files out in the order they
|
|
were written~\cite{lfs}. Schemes to improve locality between small
|
|
objects exist as well. Relational databases allow users to specify the order
|
|
in which tuples will be layed out, and often leave portions of pages
|
|
unallocated to reduce fragmentation as new records are allocated.
|
|
|
|
Memory allocation routines also address this problem. For example, the Hoard memory
|
|
allocator is a highly concurrent version of malloc that
|
|
makes use of thread context to allocate memory in a way that favors
|
|
cache locality~\cite{hoard}. %Other work makes use of the caller's stack to infer
|
|
%information about memory management.~\cite{xxx} \rcs{Eric, do you have
|
|
% a reference for this?}
|
|
|
|
Finally, many systems take a hybrid approach to allocation. Examples include
|
|
databases with blob support, and a number of
|
|
filesystems~\cite{reiserfs,ffs}.
|
|
|
|
We are interested in allowing applications to store records in
|
|
the transaction log. Assuming log fragmentation is kept to a
|
|
minimum, this is particularly attractive on a single disk system. We
|
|
plan to use ideas from LFS~\cite{lfs} and POSTGRES~\cite{postgres}
|
|
to implement this.
|
|
|
|
Starburst~\cite{starburst} provides a flexible approach to index
|
|
management, and database trigger support, as well as hints for small
|
|
object layout.
|
|
|
|
The Boxwood system provides a networked, fault-tolerant transactional
|
|
B-Tree and ``Chunk Manager.'' We believe that \yad is an interesting
|
|
complement to such a system, especially given \yads focus on
|
|
intelligence and optimizations within a single node, and Boxwood's
|
|
focus on multiple node systems. In particular, it would be
|
|
interesting to explore extensions to the Boxwood approach that make
|
|
use of \yads customizable semantics (Section~\ref{sec:wal}), and fully logical logging
|
|
mechanism. (Section~\ref{sec:logging})
|
|
|
|
\section{Future Work}
|
|
|
|
Complexity problems may begin to arise as we attempt to implement more
|
|
extensions to \yad. However, \yads implementation is still fairly simple:
|
|
|
|
\begin{itemize}
|
|
\item The core of \yad is roughly 3000 lines
|
|
of C code, and implements the buffer manager, IO, recovery, and other
|
|
systems
|
|
\item Custom operations account for another 3000 lines of code
|
|
\item Page layouts and logging implementations account for 1600 lines of code.
|
|
\end{itemize}
|
|
|
|
The complexity of the core of \yad is our primary concern, as it
|
|
contains the hard-coded policies and assumptions. Over time, the core has
|
|
shrunk as functionality has been moved into extensions. We expect
|
|
this trend to continue as development progresses.
|
|
|
|
A resource manager
|
|
is a common pattern in system software design, and manages
|
|
dependencies and ordering constraints between sets of components.
|
|
Over time, we hope to shrink \yads core to the point where it is
|
|
simply a resource manager and a set of implementations of a few unavoidable
|
|
algorithms related to write-ahead-logging. For instance,
|
|
we suspect that support for appropriate callbacks will
|
|
allow us to hard-code a generic recovery algorithm into the
|
|
system. Similarly, any code that manages book-keeping information, such as
|
|
LSN's may be general enough to be hard-coded.
|
|
|
|
Of course, we also plan to provide \yads current functionality, including the algorithms
|
|
mentioned above as modular, well-tested extensions.
|
|
Highly specialized \yad extensions, and other systems would be built
|
|
by reusing \yads default extensions and implementing new ones.
|
|
|
|
|
|
\section{Conclusion}
|
|
|
|
We have presented \yad, a transactional storage library that addresses
|
|
the needs of system developers. \yad provides more opportunities for
|
|
specialization than existing systems. The effort required to extend
|
|
\yad to support a new type of system is reasonable, especially when
|
|
compared to currently common practices, such as working around
|
|
limitations of existing systems, breaking guarantees regarding data
|
|
integrity, or reimplementing the entire storage infrastructure from
|
|
scratch.
|
|
|
|
We have demonstrated that \yad provides fully
|
|
concurrent, high performance transactions, and explained how it can
|
|
support a number of systems that currently make use of suboptimal or
|
|
ad-hoc storage approaches. Finally, we have explained how \yad can be
|
|
extended in the future to support a larger range of systems.
|
|
|
|
\section{Acknowledgements}
|
|
|
|
The idea behind the \oasys buffer manager optimization is from Mike
|
|
Demmer. He and Bowei Du implemented \oasys. Gilad Arnold and Amir Kamil implemented
|
|
for pobj. Jim Blomo, Jason Bayer, and Jimmy
|
|
Kittiyachavalit worked on an early version of \yad.
|
|
|
|
Thanks to C. Mohan for pointing out the need for tombstones with
|
|
per-object LSN's. Jim Gray provided feedback on an earlier version of
|
|
this paper, and suggested we use a resource manager to manage
|
|
dependencies within \yads API. Joe Hellerstein and Mike Franklin
|
|
provided us with invaluable feedback.
|
|
|
|
\section{Availability}
|
|
|
|
Additional information, and \yads source code is available at:
|
|
|
|
\begin{center}
|
|
%{\tt http://www.cs.berkeley.edu/sears/\yad/}
|
|
{\small{\tt http://www.cs.berkeley.edu/\ensuremath{\sim}sears/\yad/}}
|
|
%{\tt http://www.cs.berkeley.edu/sears/\yad/}
|
|
\end{center}
|
|
|
|
{\footnotesize \bibliographystyle{acm}
|
|
\nocite{*}
|
|
\bibliography{LLADD}}
|
|
|
|
\theendnotes
|
|
|
|
\end{document}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|