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22 | <a href="./Home">MLton 20180207</a>\r | |
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25 | <div id="header">\r | |
26 | <h1>RefFlatten</h1>\r | |
27 | </div>\r | |
28 | <div id="content">\r | |
29 | <div id="preamble">\r | |
30 | <div class="sectionbody">\r | |
31 | <div class="paragraph"><p><a href="RefFlatten">RefFlatten</a> is an optimization pass for the <a href="SSA2">SSA2</a>\r | |
32 | <a href="IntermediateLanguage">IntermediateLanguage</a>, invoked from <a href="SSA2Simplify">SSA2Simplify</a>.</p></div>\r | |
33 | </div>\r | |
34 | </div>\r | |
35 | <div class="sect1">\r | |
36 | <h2 id="_description">Description</h2>\r | |
37 | <div class="sectionbody">\r | |
38 | <div class="paragraph"><p>This pass flattens a <span class="monospaced">ref</span> cell into its containing object.\r | |
39 | The idea is to replace, where possible, a type like</p></div>\r | |
40 | <div class="listingblock">\r | |
41 | <div class="content monospaced">\r | |
42 | <pre>(int ref * real)</pre>\r | |
43 | </div></div>\r | |
44 | <div class="paragraph"><p>with a type like</p></div>\r | |
45 | <div class="listingblock">\r | |
46 | <div class="content monospaced">\r | |
47 | <pre>(int[m] * real)</pre>\r | |
48 | </div></div>\r | |
49 | <div class="paragraph"><p>where the <span class="monospaced">[m]</span> indicates a mutable field of a tuple.</p></div>\r | |
50 | </div>\r | |
51 | </div>\r | |
52 | <div class="sect1">\r | |
53 | <h2 id="_implementation">Implementation</h2>\r | |
54 | <div class="sectionbody">\r | |
55 | <div class="ulist"><ul>\r | |
56 | <li>\r | |
57 | <p>\r | |
58 | <a href="https://github.com/MLton/mlton/blob/master/mlton/ssa/ref-flatten.fun"><span class="monospaced">ref-flatten.fun</span></a>\r | |
59 | </p>\r | |
60 | </li>\r | |
61 | </ul></div>\r | |
62 | </div>\r | |
63 | </div>\r | |
64 | <div class="sect1">\r | |
65 | <h2 id="_details_and_notes">Details and Notes</h2>\r | |
66 | <div class="sectionbody">\r | |
67 | <div class="paragraph"><p>The savings is obvious, I hope. We avoid an extra heap-allocated\r | |
68 | object for the <span class="monospaced">ref</span>, which in the above case saves two words. We\r | |
69 | also save the time and code for the extra indirection at each get and\r | |
70 | set. There are lots of useful data structures (singly-linked and\r | |
71 | doubly-linked lists, union-find, Fibonacci heaps, …) that I believe\r | |
72 | we are paying through the nose right now because of the absence of ref\r | |
73 | flattening.</p></div>\r | |
74 | <div class="paragraph"><p>The idea is to compute for each occurrence of a <span class="monospaced">ref</span> type in the\r | |
75 | program whether or not that <span class="monospaced">ref</span> can be represented as an offset of\r | |
76 | some object (constructor or tuple). As before, a unification-based\r | |
77 | whole-program with deep abstract values makes sure the analysis is\r | |
78 | consistent.</p></div>\r | |
79 | <div class="paragraph"><p>The only syntactic part of the analysis that remains is the part that\r | |
80 | checks that for a variable bound to a value constructed by <span class="monospaced">Ref_ref</span>:</p></div>\r | |
81 | <div class="ulist"><ul>\r | |
82 | <li>\r | |
83 | <p>\r | |
84 | the object allocation is in the same block. This is pretty\r | |
85 | draconian, and it would be nice to generalize it some day to allow\r | |
86 | flattening as long as the <span class="monospaced">ref</span> allocation and object allocation "line\r | |
87 | up one-to-one" in the same loop-free chunk of code.\r | |
88 | </p>\r | |
89 | </li>\r | |
90 | <li>\r | |
91 | <p>\r | |
92 | updates occur in the same block (and hence it is safe-for-space\r | |
93 | because the containing object is still alive). It would be nice to\r | |
94 | relax this to allow updates as long as it can be provedthat the\r | |
95 | container is live.\r | |
96 | </p>\r | |
97 | </li>\r | |
98 | </ul></div>\r | |
99 | <div class="paragraph"><p>Prevent flattening of <span class="monospaced">unit ref</span>-s.</p></div>\r | |
100 | <div class="paragraph"><p><a href="RefFlatten">RefFlatten</a> is safe for space. The idea is to prevent a <span class="monospaced">ref</span>\r | |
101 | being flattened into an object that has a component of unbounded size\r | |
102 | (other than possibly the <span class="monospaced">ref</span> itself) unless we can prove that at\r | |
103 | each point the <span class="monospaced">ref</span> is live, then the containing object is live too.\r | |
104 | I used a pretty simple approximation to liveness.</p></div>\r | |
105 | </div>\r | |
106 | </div>\r | |
107 | </div>\r | |
108 | <div id="footnotes"><hr></div>\r | |
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