<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta name="generator" content="AsciiDoc 8.6.8"> <title>LambdaFree</title> <link rel="stylesheet" href="./asciidoc.css" type="text/css"> <link rel="stylesheet" href="./pygments.css" type="text/css"> <script type="text/javascript" src="./asciidoc.js"></script> <script type="text/javascript"> /*<![CDATA[*/ asciidoc.install(); /*]]>*/ </script> <link rel="stylesheet" href="./mlton.css" type="text/css"/> </head> <body class="article"> <div id="banner"> <div id="banner-home"> <a href="./Home">MLton 20130715</a> </div> </div> <div id="header"> <h1>LambdaFree</h1> </div> <div id="content"> <div id="preamble"> <div class="sectionbody"> <div class="paragraph"><p><a href="LambdaFree">LambdaFree</a> is an analysis pass for the <a href="SXML">SXML</a> <a href="IntermediateLanguage">IntermediateLanguage</a>, invoked from <a href="ClosureConvert">ClosureConvert</a>.</p></div> </div> </div> <div class="sect1"> <h2 id="_description">Description</h2> <div class="sectionbody"> <div class="paragraph"><p>This pass descends the entire <a href="SXML">SXML</a> program and attaches a property to each <span class="monospaced">Lambda</span> <span class="monospaced">PrimExp.t</span> in the program. Then, you can use <span class="monospaced">lambdaFree</span> and <span class="monospaced">lambdaRec</span> to get free variables of that <span class="monospaced">Lambda</span>.</p></div> </div> </div> <div class="sect1"> <h2 id="_implementation">Implementation</h2> <div class="sectionbody"> <div class="ulist"><ul> <li> <p> <a href="https://github.com/MLton/mlton/blob/master/mlton/closure-convert/lambda-free.sig"><span class="monospaced">lambda-free.sig</span></a> </p> </li> <li> <p> <a href="https://github.com/MLton/mlton/blob/master/mlton/closure-convert/lambda-free.fun"><span class="monospaced">lambda-free.fun</span></a> </p> </li> </ul></div> </div> </div> <div class="sect1"> <h2 id="_details_and_notes">Details and Notes</h2> <div class="sectionbody"> <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 the frees of the entire group of mutually recursive functions. Hence, <span class="monospaced">lambdaFree</span> for every <span class="monospaced">Lambda</span> in a single <span class="monospaced">Fun</span> dec is the same. Furthermore, for a <span class="monospaced">Lambda</span> bound in a <span class="monospaced">Fun</span> dec, <span class="monospaced">lambdaRec</span> gives the list of other functions bound in the same dec defining that <span class="monospaced">Lambda</span>.</p></div> <div class="paragraph"><p>For example:</p></div> <div class="listingblock"> <div class="content monospaced"> <pre>val rec f = fn x => ... y ... g ... f ... and g = fn z => ... f ... w ...</pre> </div></div> <div class="listingblock"> <div class="content monospaced"> <pre>lambdaFree(fn x =>) = [y, w] lambdaFree(fn z =>) = [y, w] lambdaRec(fn x =>) = [g, f] lambdaRec(fn z =>) = [f]</pre> </div></div> </div> </div> </div> <div id="footnotes"><hr></div> <div id="footer"> <div id="footer-text"> </div> <div id="footer-badges"> </div> </div> </body> </html>
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