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22 | <a href="./Home">MLton 20180207</a>\r | |
23 | </div>\r | |
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25 | <div id="header">\r | |
26 | <h1>LambdaFree</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="LambdaFree">LambdaFree</a> is an analysis pass for the <a href="SXML">SXML</a>\r | |
32 | <a href="IntermediateLanguage">IntermediateLanguage</a>, invoked from <a href="ClosureConvert">ClosureConvert</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 descends the entire <a href="SXML">SXML</a> program and attaches a property\r | |
39 | to each <span class="monospaced">Lambda</span> <span class="monospaced">PrimExp.t</span> in the program. Then, you can use\r | |
40 | <span class="monospaced">lambdaFree</span> and <span class="monospaced">lambdaRec</span> to get free variables of that <span class="monospaced">Lambda</span>.</p></div>\r | |
41 | </div>\r | |
42 | </div>\r | |
43 | <div class="sect1">\r | |
44 | <h2 id="_implementation">Implementation</h2>\r | |
45 | <div class="sectionbody">\r | |
46 | <div class="ulist"><ul>\r | |
47 | <li>\r | |
48 | <p>\r | |
49 | <a href="https://github.com/MLton/mlton/blob/master/mlton/closure-convert/lambda-free.sig"><span class="monospaced">lambda-free.sig</span></a>\r | |
50 | </p>\r | |
51 | </li>\r | |
52 | <li>\r | |
53 | <p>\r | |
54 | <a href="https://github.com/MLton/mlton/blob/master/mlton/closure-convert/lambda-free.fun"><span class="monospaced">lambda-free.fun</span></a>\r | |
55 | </p>\r | |
56 | </li>\r | |
57 | </ul></div>\r | |
58 | </div>\r | |
59 | </div>\r | |
60 | <div class="sect1">\r | |
61 | <h2 id="_details_and_notes">Details and Notes</h2>\r | |
62 | <div class="sectionbody">\r | |
63 | <div class="paragraph"><p>For <span class="monospaced">Lambda</span>-s bound in a <span class="monospaced">Fun</span> dec, <span class="monospaced">lambdaFree</span> gives the union of\r | |
64 | the frees of the entire group of mutually recursive functions. Hence,\r | |
65 | <span class="monospaced">lambdaFree</span> for every <span class="monospaced">Lambda</span> in a single <span class="monospaced">Fun</span> dec is the same.\r | |
66 | Furthermore, for a <span class="monospaced">Lambda</span> bound in a <span class="monospaced">Fun</span> dec, <span class="monospaced">lambdaRec</span> gives\r | |
67 | the list of other functions bound in the same dec defining that\r | |
68 | <span class="monospaced">Lambda</span>.</p></div>\r | |
69 | <div class="paragraph"><p>For example:</p></div>\r | |
70 | <div class="listingblock">\r | |
71 | <div class="content monospaced">\r | |
72 | <pre>val rec f = fn x => ... y ... g ... f ...\r | |
73 | and g = fn z => ... f ... w ...</pre>\r | |
74 | </div></div>\r | |
75 | <div class="listingblock">\r | |
76 | <div class="content monospaced">\r | |
77 | <pre>lambdaFree(fn x =>) = [y, w]\r | |
78 | lambdaFree(fn z =>) = [y, w]\r | |
79 | lambdaRec(fn x =>) = [g, f]\r | |
80 | lambdaRec(fn z =>) = [f]</pre>\r | |
81 | </div></div>\r | |
82 | </div>\r | |
83 | </div>\r | |
84 | </div>\r | |
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