| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 1 | <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" | 
|  | 2 | "http://www.w3.org/TR/html4/strict.dtd"> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 3 | <html> | 
|  | 4 | <head> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 5 | <link rel="stylesheet" href="llvm.css" type="text/css"> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 6 | <title>Alias Analysis Infrastructure in LLVM</title> | 
|  | 7 | </head> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 8 | <body> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 9 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 10 | <div class="doc_title"> | 
|  | 11 | Alias Analysis Infrastructure in LLVM | 
|  | 12 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 13 |  | 
|  | 14 | <ol> | 
| Misha Brukman | b215425 | 2003-10-23 02:29:42 +0000 | [diff] [blame] | 15 | <li><a href="#introduction">Introduction</a></li> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 16 |  | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 17 | <li><a href="#overview">AliasAnalysis Overview</a> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 18 | <ul> | 
| Misha Brukman | b215425 | 2003-10-23 02:29:42 +0000 | [diff] [blame] | 19 | <li><a href="#pointers">Representation of Pointers</a></li> | 
|  | 20 | <li><a href="#MustMayNo">Must, May, and No Alias Responses</a></li> | 
|  | 21 | <li><a href="#ModRefInfo">The <tt>getModRefInfo</tt> methods</a></li> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 22 | </ul></li> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 23 |  | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 24 | <li><a href="#writingnew">Writing a new AliasAnalysis Implementation</a> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 25 | <ul> | 
| Misha Brukman | b215425 | 2003-10-23 02:29:42 +0000 | [diff] [blame] | 26 | <li><a href="#passsubclasses">Different Pass styles</a></li> | 
|  | 27 | <li><a href="#requiredcalls">Required initialization calls</a></li> | 
|  | 28 | <li><a href="#interfaces">Interfaces which may be specified</a></li> | 
|  | 29 | <li><a href="#chaining">The AliasAnalysis chaining behavior</a></li> | 
|  | 30 | <li><a href="#implefficiency">Efficiency Issues</a></li> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 31 | </ul></li> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 32 |  | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 33 | <li><a href="#using">Using AliasAnalysis results</a> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 34 | <ul> | 
| Misha Brukman | b215425 | 2003-10-23 02:29:42 +0000 | [diff] [blame] | 35 | <li><a href="#loadvn">Using the <tt>-load-vn</tt> Pass</a></li> | 
|  | 36 | <li><a href="#ast">Using the <tt>AliasSetTracker</tt> class</a></li> | 
|  | 37 | <li><a href="#direct">Using the AliasAnalysis interface directly</a></li> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 38 | </ul></li> | 
|  | 39 |  | 
|  | 40 | <li><a href="#tools">Helpful alias analysis related tools</a> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 41 | <ul> | 
| Misha Brukman | b215425 | 2003-10-23 02:29:42 +0000 | [diff] [blame] | 42 | <li><a href="#no-aa">The <tt>-no-aa</tt> pass</a></li> | 
|  | 43 | <li><a href="#print-alias-sets">The <tt>-print-alias-sets</tt> pass</a></li> | 
|  | 44 | <li><a href="#count-aa">The <tt>-count-aa</tt> pass</a></li> | 
|  | 45 | <li><a href="#aa-eval">The <tt>-aa-eval</tt> pass</a></li> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 46 | </ul></li> | 
| Misha Brukman | b215425 | 2003-10-23 02:29:42 +0000 | [diff] [blame] | 47 | </ol> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 48 |  | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 49 | <div class="doc_text"> | 
|  | 50 | <p><b>Written by <a href="mailto:sabre@nondot.org">Chris Lattner</a></b></p> | 
|  | 51 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 52 |  | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 53 | <!-- *********************************************************************** --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 54 | <div class="doc_section"> | 
|  | 55 | <a name="introduction">Introduction</a> | 
|  | 56 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 57 | <!-- *********************************************************************** --> | 
|  | 58 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 59 | <div class="doc_text"> | 
| Misha Brukman | 1f254d5 | 2003-11-21 22:30:25 +0000 | [diff] [blame] | 60 |  | 
|  | 61 | <p>Alias Analysis (or Pointer Analysis) is a technique which attempts to | 
|  | 62 | determine whether or not two pointers ever can point to the same object in | 
|  | 63 | memory.  Traditionally, Alias Analyses respond to a query with either a <a | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 64 | href="#MustNoMay">Must, May, or No</a> alias response, indicating that two | 
|  | 65 | pointers do point to the same object, might point to the same object, or are | 
| Misha Brukman | 1f254d5 | 2003-11-21 22:30:25 +0000 | [diff] [blame] | 66 | known not to point to the same object.</p> | 
|  | 67 |  | 
|  | 68 | <p>The <a href="/doxygen/classAliasAnalysis.html">AliasAnalysis</a> class is the | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 69 | centerpiece of the LLVM Alias Analysis related infrastructure.  This class is | 
|  | 70 | the common interface between clients of alias analysis information and the | 
|  | 71 | implementations providing it.  In addition to simple alias analysis information, | 
|  | 72 | this class exposes Mod/Ref information from those implementations which can | 
|  | 73 | provide it, allowing for powerful analyses and transformations to work well | 
| Misha Brukman | 1f254d5 | 2003-11-21 22:30:25 +0000 | [diff] [blame] | 74 | together.</p> | 
|  | 75 |  | 
|  | 76 | <p>This document contains information necessary to successfully implement this | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 77 | interface, use it, and to test both sides.  It also explains some of the finer | 
|  | 78 | points about what exactly results mean.  If you feel that something is unclear | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 79 | or should be added, please <a href="mailto:sabre@nondot.org">let me | 
| Misha Brukman | 1f254d5 | 2003-11-21 22:30:25 +0000 | [diff] [blame] | 80 | know</a>.</p> | 
|  | 81 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 82 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 83 |  | 
|  | 84 | <!-- *********************************************************************** --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 85 | <div class="doc_section"> | 
|  | 86 | <a name="overview">AliasAnalysis Overview</a> | 
|  | 87 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 88 | <!-- *********************************************************************** --> | 
|  | 89 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 90 | <div class="doc_text"> | 
| Misha Brukman | 1f254d5 | 2003-11-21 22:30:25 +0000 | [diff] [blame] | 91 |  | 
|  | 92 | <p>The <a href="/doxygen/classAliasAnalysis.html">AliasAnalysis</a> class | 
|  | 93 | defines the interface that Alias Analysis implementations should support.  This | 
|  | 94 | class exports two important enums: <tt>AliasResult</tt> and | 
|  | 95 | <tt>ModRefResult</tt> which represent the result of an alias query or a mod/ref | 
|  | 96 | query, respectively.</p> | 
|  | 97 |  | 
|  | 98 | <p>The AliasAnalysis interface exposes information about memory, represented in | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 99 | several different ways.  In particular, memory objects are represented as a | 
|  | 100 | starting address and size, and function calls are represented as the actual | 
|  | 101 | <tt>call</tt> or <tt>invoke</tt> instructions that performs the call.  The | 
|  | 102 | AliasAnalysis interface also exposes some helper methods which allow you to get | 
| Misha Brukman | 1f254d5 | 2003-11-21 22:30:25 +0000 | [diff] [blame] | 103 | mod/ref information for arbitrary instructions.</p> | 
|  | 104 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 105 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 106 |  | 
|  | 107 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 108 | <div class="doc_subsection"> | 
|  | 109 | <a name="pointers">Representation of Pointers</a> | 
|  | 110 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 111 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 112 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 113 |  | 
|  | 114 | <p>Most importantly, the AliasAnalysis class provides several methods which are | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 115 | used to query whether or not pointers alias, whether function calls can modify | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 116 | or read memory, etc.</p> | 
|  | 117 |  | 
|  | 118 | <p>Representing memory objects as a starting address and a size is critically | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 119 | important for precise Alias Analyses.  For example, consider this (silly) C | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 120 | code:</p> | 
|  | 121 |  | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 122 | <pre> | 
|  | 123 | int i; | 
|  | 124 | char C[2]; | 
|  | 125 | char A[10]; | 
|  | 126 | /* ... */ | 
|  | 127 | for (i = 0; i != 10; ++i) { | 
|  | 128 | C[0] = A[i];          /* One byte store */ | 
|  | 129 | C[1] = A[9-i];        /* One byte store */ | 
|  | 130 | } | 
|  | 131 | </pre> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 132 |  | 
|  | 133 | <p>In this case, the <tt>basicaa</tt> pass will disambiguate the stores to | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 134 | <tt>C[0]</tt> and <tt>C[1]</tt> because they are accesses to two distinct | 
|  | 135 | locations one byte apart, and the accesses are each one byte.  In this case, the | 
|  | 136 | LICM pass can use store motion to remove the stores from the loop.  In | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 137 | constrast, the following code:</p> | 
|  | 138 |  | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 139 | <pre> | 
|  | 140 | int i; | 
|  | 141 | char C[2]; | 
|  | 142 | char A[10]; | 
|  | 143 | /* ... */ | 
|  | 144 | for (i = 0; i != 10; ++i) { | 
|  | 145 | ((short*)C)[0] = A[i];  /* Two byte store! */ | 
|  | 146 | C[1] = A[9-i];          /* One byte store */ | 
|  | 147 | } | 
|  | 148 | </pre> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 149 |  | 
|  | 150 | <p>In this case, the two stores to C do alias each other, because the access to | 
|  | 151 | the <tt>&C[0]</tt> element is a two byte access.  If size information wasn't | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 152 | available in the query, even the first case would have to conservatively assume | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 153 | that the accesses alias.</p> | 
|  | 154 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 155 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 156 |  | 
|  | 157 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 158 | <div class="doc_subsection"> | 
|  | 159 | <a name="MustMayNo">Must, May, and No Alias Responses</a> | 
|  | 160 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 161 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 162 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 163 |  | 
|  | 164 | <p>An Alias Analysis implementation can return one of three responses: | 
|  | 165 | MustAlias, MayAlias, and NoAlias.  The No and May alias results are obvious: if | 
|  | 166 | the two pointers may never equal each other, return NoAlias, if they might, | 
|  | 167 | return MayAlias.</p> | 
|  | 168 |  | 
|  | 169 | <p>The Must Alias response is trickier though.  In LLVM, the Must Alias response | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 170 | may only be returned if the two memory objects are guaranteed to always start at | 
|  | 171 | exactly the same location.  If two memory objects overlap, but do not start at | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 172 | the same location, MayAlias must be returned.</p> | 
|  | 173 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 174 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 175 |  | 
|  | 176 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 177 | <div class="doc_subsection"> | 
|  | 178 | <a name="ModRefInfo">The <tt>getModRefInfo</tt> methods</a> | 
|  | 179 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 180 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 181 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 182 |  | 
|  | 183 | <p>The <tt>getModRefInfo</tt> methods return information about whether the | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 184 | execution of an instruction can read or modify a memory location.  Mod/Ref | 
|  | 185 | information is always conservative: if an action <b>may</b> read a location, Ref | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 186 | is returned.</p> | 
|  | 187 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 188 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 189 |  | 
|  | 190 | <!-- *********************************************************************** --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 191 | <div class="doc_section"> | 
|  | 192 | <a name="writingnew">Writing a new AliasAnalysis Implementation</a> | 
|  | 193 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 194 | <!-- *********************************************************************** --> | 
|  | 195 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 196 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 197 |  | 
|  | 198 | <p>Writing a new alias analysis implementation for LLVM is quite | 
|  | 199 | straight-forward.  There are already several implementations that you can use | 
|  | 200 | for examples, and the following information should help fill in any details. | 
|  | 201 | For a minimal example, take a look at the <a | 
|  | 202 | href="/doxygen/structNoAA.html"><tt>no-aa</tt></a> implementation.</p> | 
|  | 203 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 204 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 205 |  | 
|  | 206 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 207 | <div class="doc_subsection"> | 
|  | 208 | <a name="passsubclasses">Different Pass styles</a> | 
|  | 209 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 210 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 211 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 212 |  | 
|  | 213 | <p>The first step to determining what type of <a | 
|  | 214 | href="WritingAnLLVMPass.html">LLVM pass</a> you need to use for your Alias | 
|  | 215 | Analysis.  As is the case with most other analyses and transformations, the | 
|  | 216 | answer should be fairly obvious from what type of problem you are trying to | 
|  | 217 | solve:</p> | 
|  | 218 |  | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 219 | <ol> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 220 | <li>If you require interprocedural analysis, it should be a | 
|  | 221 | <tt>Pass</tt>.</li> | 
|  | 222 | <li>If you are a global analysis, subclass <tt>FunctionPass</tt>.</li> | 
|  | 223 | <li>If you are a local pass, subclass <tt>BasicBlockPass</tt>.</li> | 
|  | 224 | <li>If you don't need to look at the program at all, subclass | 
|  | 225 | <tt>ImmutablePass</tt>.</li> | 
|  | 226 | </ol> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 227 |  | 
|  | 228 | <p>In addition to the pass that you subclass, you should also inherit from the | 
| Misha Brukman | 700fd49 | 2003-05-07 21:47:16 +0000 | [diff] [blame] | 229 | <tt>AliasAnalysis</tt> interface, of course, and use the | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 230 | <tt>RegisterAnalysisGroup</tt> template to register as an implementation of | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 231 | <tt>AliasAnalysis</tt>.</p> | 
|  | 232 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 233 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 234 |  | 
|  | 235 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 236 | <div class="doc_subsection"> | 
|  | 237 | <a name="requiredcalls">Required initialization calls</a> | 
|  | 238 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 239 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 240 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 241 |  | 
|  | 242 | <p>Your subclass of AliasAnalysis is required to invoke two methods on the | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 243 | AliasAnalysis base class: <tt>getAnalysisUsage</tt> and | 
|  | 244 | <tt>InitializeAliasAnalysis</tt>.  In particular, your implementation of | 
|  | 245 | <tt>getAnalysisUsage</tt> should explicitly call into the | 
|  | 246 | <tt>AliasAnalysis::getAnalysisUsage</tt> method in addition to doing any | 
|  | 247 | declaring any pass dependencies your pass has.  Thus you should have something | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 248 | like this:</p> | 
|  | 249 |  | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 250 | <pre> | 
|  | 251 | void getAnalysisUsage(AnalysisUsage &AU) const { | 
|  | 252 | AliasAnalysis::getAnalysisUsage(AU); | 
|  | 253 | <i>// declare your dependencies here.</i> | 
|  | 254 | } | 
|  | 255 | </pre> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 256 |  | 
|  | 257 | <p>Additionally, your must invoke the <tt>InitializeAliasAnalysis</tt> method | 
|  | 258 | from your analysis run method (<tt>run</tt> for a <tt>Pass</tt>, | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 259 | <tt>runOnFunction</tt> for a <tt>FunctionPass</tt>, <tt>runOnBasicBlock</tt> for | 
|  | 260 | a <tt>BasicBlockPass</tt>, or <tt>InitializeAliasAnalysis</tt> for an | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 261 | <tt>ImmutablePass</tt>).  For example (as part of a <tt>Pass</tt>):</p> | 
|  | 262 |  | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 263 | <pre> | 
|  | 264 | bool run(Module &M) { | 
|  | 265 | InitializeAliasAnalysis(this); | 
|  | 266 | <i>// Perform analysis here...</i> | 
|  | 267 | return false; | 
|  | 268 | } | 
|  | 269 | </pre> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 270 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 271 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 272 |  | 
|  | 273 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 274 | <div class="doc_subsection"> | 
|  | 275 | <a name="interfaces">Interfaces which may be specified</a> | 
|  | 276 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 277 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 278 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 279 |  | 
|  | 280 | <p>All of the <a href="/doxygen/classAliasAnalysis.html">AliasAnalysis</a> | 
|  | 281 | virtual methods default to providing conservatively correct information | 
|  | 282 | (returning "May" Alias and "Mod/Ref" for alias and mod/ref queries | 
|  | 283 | respectively).  Depending on the capabilities of the analysis you are | 
|  | 284 | implementing, you just override the interfaces you can improve.</p> | 
|  | 285 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 286 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 287 |  | 
|  | 288 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 289 | <div class="doc_subsection"> | 
|  | 290 | <a name="chaining">The AliasAnalysis chaining behavior</a> | 
|  | 291 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 292 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 293 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 294 |  | 
|  | 295 | <p>With only two special exceptions (the <tt>basicaa</tt> and <a | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 296 | href="#no-aa"><tt>no-aa</tt></a> passes) every alias analysis pass should chain | 
|  | 297 | to another alias analysis implementation (for example, you could specify | 
|  | 298 | "<tt>-basic-aa -ds-aa -andersens-aa -licm</tt>" to get the maximum benefit from | 
|  | 299 | the three alias analyses).  To do this, simply "Require" AliasAnalysis in your | 
|  | 300 | <tt>getAnalysisUsage</tt> method, and if you need to return a conservative | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 301 | MayAlias or Mod/Ref result, simply chain to a lower analysis.</p> | 
|  | 302 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 303 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 304 |  | 
|  | 305 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 306 | <div class="doc_subsection"> | 
|  | 307 | <a name="implefficiency">Efficiency Issues</a> | 
|  | 308 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 309 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 310 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 311 |  | 
|  | 312 | <p>From the LLVM perspective, the only thing you need to do to provide an | 
|  | 313 | efficient alias analysis is to make sure that alias analysis <b>queries</b> are | 
|  | 314 | serviced quickly.  The actual calculation of the alias analysis results (the | 
|  | 315 | "run" method) is only performed once, but many (perhaps duplicate) queries may | 
|  | 316 | be performed.  Because of this, try to move as much computation to the run | 
|  | 317 | method as possible (within reason).</p> | 
|  | 318 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 319 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 320 |  | 
|  | 321 | <!-- *********************************************************************** --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 322 | <div class="doc_section"> | 
|  | 323 | <a name="using">Using AliasAnalysis results</a> | 
|  | 324 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 325 | <!-- *********************************************************************** --> | 
|  | 326 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 327 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 328 |  | 
|  | 329 | <p>There are several different ways to use alias analysis results.  In order of | 
|  | 330 | preference, these are...</p> | 
|  | 331 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 332 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 333 |  | 
|  | 334 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 335 | <div class="doc_subsection"> | 
|  | 336 | <a name="loadvn">Using the <tt>-load-vn</tt> Pass</a> | 
|  | 337 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 338 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 339 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 340 |  | 
|  | 341 | <p>The <tt>load-vn</tt> pass uses alias analysis to provide value numbering | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 342 | information for <tt>load</tt> instructions.  If your analysis or transformation | 
|  | 343 | can be modelled in a form that uses value numbering information, you don't have | 
|  | 344 | to do anything special to handle load instructions: just use the | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 345 | <tt>load-vn</tt> pass, which uses alias analysis.</p> | 
|  | 346 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 347 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 348 |  | 
|  | 349 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 350 | <div class="doc_subsection"> | 
|  | 351 | <a name="ast">Using the <tt>AliasSetTracker</tt> class</a> | 
|  | 352 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 353 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 354 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 355 |  | 
|  | 356 | <p>Many transformations need information about alias <b>sets</b> that are active | 
|  | 357 | in some scope, rather than information about pairwise aliasing.  The <tt><a | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 358 | href="/doxygen/classAliasSetTracker.html">AliasSetTracker</a></tt> class is used | 
|  | 359 | to efficiently build these Alias Sets from the pairwise alias analysis | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 360 | information provided by the AliasAnalysis interface.</p> | 
|  | 361 |  | 
|  | 362 | <p>First you initialize the AliasSetTracker by use the "<tt>add</tt>" methods to | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 363 | add information about various potentially aliasing instructions in the scope you | 
|  | 364 | are interested in.  Once all of the alias sets are completed, your pass should | 
|  | 365 | simply iterate through the constructed alias sets, using the AliasSetTracker | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 366 | <tt>begin()</tt>/<tt>end()</tt> methods.</p> | 
|  | 367 |  | 
|  | 368 | <p>The <tt>AliasSet</tt>s formed by the <tt>AliasSetTracker</tt> are guaranteed | 
|  | 369 | to be disjoint, calculate mod/ref information for the set, and keep track of | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 370 | whether or not all of the pointers in the set are Must aliases.  The | 
|  | 371 | AliasSetTracker also makes sure that sets are properly folded due to call | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 372 | instructions, and can provide a list of pointers in each set.</p> | 
|  | 373 |  | 
|  | 374 | <p>As an example user of this, the <a href="/doxygen/structLICM.html">Loop | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 375 | Invariant Code Motion</a> pass uses AliasSetTrackers to build alias information | 
|  | 376 | about each loop nest.  If an AliasSet in a loop is not modified, then all load | 
|  | 377 | instructions from that set may be hoisted out of the loop.  If any alias sets | 
|  | 378 | are stored <b>and</b> are must alias sets, then the stores may be sunk to | 
|  | 379 | outside of the loop.  Both of these transformations obviously only apply if the | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 380 | pointer argument is loop-invariant.</p> | 
|  | 381 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 382 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 383 |  | 
|  | 384 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 385 | <div class="doc_subsection"> | 
|  | 386 | <a name="direct">Using the AliasAnalysis interface directly</a> | 
|  | 387 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 388 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 389 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 390 |  | 
|  | 391 | <p>As a last resort, your pass could use the AliasAnalysis interface directly to | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 392 | service your pass.  If you find the need to do this, please <a | 
|  | 393 | href="mailto:sabre@nondot.org">let me know</a> so I can see if something new | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 394 | needs to be added to LLVM.</p> | 
|  | 395 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 396 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 397 |  | 
|  | 398 | <!-- *********************************************************************** --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 399 | <div class="doc_section"> | 
|  | 400 | <a name="tools">Helpful alias-analysis-related tools</a> | 
|  | 401 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 402 | <!-- *********************************************************************** --> | 
|  | 403 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 404 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 405 |  | 
|  | 406 | <p>If you're going to be working with the AliasAnalysis infrastructure, there | 
|  | 407 | are several nice tools that may be useful for you and are worth knowing | 
|  | 408 | about...</p> | 
|  | 409 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 410 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 411 |  | 
|  | 412 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 413 | <div class="doc_subsection"> | 
|  | 414 | <a name="no-aa">The <tt>-no-aa</tt> pass</a> | 
|  | 415 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 416 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 417 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 418 |  | 
|  | 419 | <p>The <tt>-no-aa</tt> analysis is just like what it sounds: an alias analysis | 
|  | 420 | that never returns any useful information.  This pass can be useful if you think | 
|  | 421 | that alias analysis is doing something wrong and are trying to narrow down a | 
|  | 422 | problem.  If you don't specify an alias analysis, the default will be to use the | 
|  | 423 | <tt>basicaa</tt> pass which does quite a bit of disambiguation on its own.</p> | 
|  | 424 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 425 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 426 |  | 
|  | 427 |  | 
|  | 428 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 429 | <div class="doc_subsection"> | 
|  | 430 | <a name="print-alias-sets">The <tt>-print-alias-sets</tt> pass</a> | 
|  | 431 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 432 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 433 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 434 |  | 
|  | 435 | <p>The <tt>-print-alias-sets</tt> pass is exposed as part of the | 
|  | 436 | <tt>analyze</tt> tool to print out the Alias Sets formed by the <a | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 437 | href="#ast"><tt>AliasSetTracker</tt></a> class.  This is useful if you're using | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 438 | the <tt>AliasSetTracker</tt>.</p> | 
|  | 439 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 440 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 441 |  | 
|  | 442 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 443 | <div class="doc_subsection"> | 
|  | 444 | <a name="count-aa">The <tt>-count-aa</tt> pass</a> | 
|  | 445 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 446 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 447 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 448 |  | 
|  | 449 | <p>The <tt>-count-aa</tt> pass is useful to see how many queries a particular | 
|  | 450 | pass is making and what kinds of responses are returned by the alias analysis. | 
|  | 451 | An example usage is:</p> | 
|  | 452 |  | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 453 | <pre> | 
|  | 454 | $ opt -basicaa -count-aa -ds-aa -count-aa -licm | 
|  | 455 | </pre> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 456 |  | 
|  | 457 | <p>Which will print out how many queries (and what responses are returned) by | 
|  | 458 | the <tt>-licm</tt> pass (of the <tt>-ds-aa</tt> pass) and how many queries are | 
|  | 459 | made of the <tt>-basicaa</tt> pass by the <tt>-ds-aa</tt> pass.  This can be | 
|  | 460 | useful when evaluating an alias analysis for precision.</p> | 
|  | 461 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 462 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 463 |  | 
|  | 464 | <!-- ======================================================================= --> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 465 | <div class="doc_subsection"> | 
|  | 466 | <a name="aa-eval">The <tt>-aa-eval</tt> pass</a> | 
|  | 467 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 468 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 469 | <div class="doc_text"> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 470 |  | 
|  | 471 | <p>The <tt>-aa-eval</tt> pass simply iterates through all pairs of pointers in a | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 472 | function and asks an alias analysis whether or not the pointers alias.  This | 
|  | 473 | gives an indication of the precision of the alias analysis.  Statistics are | 
| Misha Brukman | 5feba4e | 2003-11-22 01:07:30 +0000 | [diff] [blame] | 474 | printed.</p> | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 475 |  | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 476 | </div> | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 477 |  | 
| Chris Lattner | 9f64875 | 2003-03-04 19:37:49 +0000 | [diff] [blame] | 478 | <!-- *********************************************************************** --> | 
|  | 479 |  | 
| Misha Brukman | 3896be2 | 2003-10-24 18:06:11 +0000 | [diff] [blame] | 480 | <hr> | 
| Misha Brukman | 915cab2 | 2003-11-22 01:26:21 +0000 | [diff] [blame^] | 481 | <address> | 
|  | 482 | <a href="http://jigsaw.w3.org/css-validator/"><img | 
| Misha Brukman | 5feba4e | 2003-11-22 01:07:30 +0000 | [diff] [blame] | 483 | src="http://jigsaw.w3.org/css-validator/images/vcss" alt="Valid CSS!"></a> | 
| Misha Brukman | 915cab2 | 2003-11-22 01:26:21 +0000 | [diff] [blame^] | 484 | <a href="http://validator.w3.org/check/referer"><img | 
|  | 485 | src="http://www.w3.org/Icons/valid-html401" alt="Valid HTML 4.01!" /></a> | 
|  | 486 |  | 
|  | 487 | <a href="mailto:sabre@nondot.org">Chris Lattner</a><br> | 
|  | 488 | <a href="http://llvm.cs.uiuc.edu">The LLVM Compiler Infrastructure</a><br> | 
|  | 489 | Last modified: $Date$ | 
|  | 490 | </address> | 
| Misha Brukman | cd11e45 | 2003-10-22 23:27:16 +0000 | [diff] [blame] | 491 |  | 
|  | 492 | </body> | 
|  | 493 | </html> |