<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN" "http://www.w3.org/TR/html4/strict.dtd"> <html> <head> <meta name="robots" content="index,nofollow"> <title>SimplifyTypes - MLton Standard ML Compiler (SML Compiler)</title> <link rel="stylesheet" type="text/css" charset="iso-8859-1" media="all" href="common.css"> <link rel="stylesheet" type="text/css" charset="iso-8859-1" media="screen" href="screen.css"> <link rel="stylesheet" type="text/css" charset="iso-8859-1" media="print" href="print.css"> <link rel="Start" href="Home"> </head> <body lang="en" dir="ltr"> <script src="http://www.google-analytics.com/urchin.js" type="text/javascript"> </script> <script type="text/javascript"> _uacct = "UA-833377-1"; urchinTracker(); </script> <table bgcolor = lightblue cellspacing = 0 style = "border: 0px;" width = 100%> <tr> <td style = " border: 0px; color: darkblue; font-size: 150%; text-align: left;"> <a class = mltona href="Home">MLton MLTONWIKIVERSION</a> <td style = " border: 0px; font-size: 150%; text-align: center; width: 50%;"> SimplifyTypes <td style = " border: 0px; text-align: right;"> <table cellspacing = 0 style = "border: 0px"> <tr style = "vertical-align: middle;"> </table> <tr style = "background-color: white;"> <td colspan = 3 style = " border: 0px; font-size:70%; text-align: right;"> <a href = "Home">Home</a> <a href = "TitleIndex">Index</a> </table> <div id="content" lang="en" dir="ltr"> SimplifyTypes is an optimization pass for the <a href="SSA">SSA</a> <a href="IntermediateLanguage">IntermediateLanguage</a>, invoked from <a href="SSASimplify">SSASimplify</a>. <h2 id="head-55f8ebc805e65b5b71ddafdae390e3be2bcd69af">Description</h2> <p> This pass computes a "cardinality" of each datatype, which is an abstraction of the number of values of the datatype. </p> <ul> <li> <p> <tt>Zero</tt> means the datatype has no values (except for bottom). </p> </li> <li> <p> <tt>One</tt> means the datatype has one value (except for bottom). </p> </li> <li> <p> <tt>Many</tt> means the datatype has many values. </p> </li> </ul> <p> This pass removes all datatypes whose cardinality is <tt>Zero</tt> or <tt>One</tt> and removes: </p> <ul> <li> <p> components of tuples </p> </li> <li> <p> function args </p> </li> <li> <p> constructor args </p> </li> </ul> <p> which are such datatypes. </p> <p> This pass marks constructors as one of: </p> <ul> <li> <p> <tt>Useless</tt>: it never appears in a <tt>ConApp</tt>. </p> </li> <li> <p> <tt>Transparent</tt>: it is the only variant in its datatype and its argument type does not contain any uses of <tt>array</tt> or <tt>vector</tt>. </p> </li> <li> <p> <tt>Useful</tt>: otherwise </p> </li> </ul> <p> This pass also removes <tt>Useless</tt> and <tt>Transparent</tt> constructors. </p> <h2 id="head-8781d615fd77be9578225c40ac67b9471394cced">Implementation</h2> <p> <a href = "http://mlton.org/cgi-bin/viewsvn.cgi/mlton/tags/on-MLTONWIKIVERSION-release/mlton/ssa/simplify-types.sig?view=markup"><img src="moin-www.png" alt="[WWW]" height="11" width="11">simplify-types.sig</a> <a href = "http://mlton.org/cgi-bin/viewsvn.cgi/mlton/tags/on-MLTONWIKIVERSION-release/mlton/ssa/simplify-types.fun?view=markup"><img src="moin-www.png" alt="[WWW]" height="11" width="11">simplify-types.fun</a> </p> <h2 id="head-35ec00231a68203708e39f0e2cc10b50c6bf62de">Details and Notes</h2> <p> This pass must happen before polymorphic equality is implemented because </p> <ol type="1"> <li> <p> it will make polymorphic equality faster because some types are simpler </p> </li> <li> <p> it removes uses of polymorphic equality that must return true </p> </li> </ol> <p> We must keep track of <tt>Transparent</tt> constructors whose argument type uses <tt>array</tt> because of datatypes like the following: <pre class=code> <B><FONT COLOR="#A020F0">datatype</FONT></B><B><FONT COLOR="#228B22"> t </FONT></B>=<B><FONT COLOR="#228B22"> <FONT COLOR="#B8860B">T</FONT> <B><FONT COLOR="#A020F0">of</FONT></B> t array </FONT></B></PRE> Such a datatype has <tt>Cardinality.Many</tt>, but we cannot eliminate the datatype and replace the lhs by the rhs, i.e. we must keep the circularity around. </p> <p> Must do similar things for <tt>vectors</tt>. </p> <p> Also, to eliminate as many <tt>Transparent</tt> constructors as possible, for something like the following, <pre class=code> <B><FONT COLOR="#A020F0">datatype</FONT></B><B><FONT COLOR="#228B22"> t </FONT></B>=<B><FONT COLOR="#228B22"> <FONT COLOR="#B8860B">T</FONT> <B><FONT COLOR="#A020F0">of</FONT></B> u array </FONT></B><B><FONT COLOR="#A020F0">and</FONT></B><B><FONT COLOR="#228B22"> u </FONT></B>=<B><FONT COLOR="#228B22"> <FONT COLOR="#B8860B">U</FONT> <B><FONT COLOR="#A020F0">of</FONT></B> t vector </FONT></B></PRE> we (arbitrarily) expand one of the datatypes first. The result will be something like <pre class=code> <B><FONT COLOR="#A020F0">datatype</FONT></B><B><FONT COLOR="#228B22"> u </FONT></B>=<B><FONT COLOR="#228B22"> <FONT COLOR="#B8860B">U</FONT> <B><FONT COLOR="#A020F0">of</FONT></B> u array array </FONT></B></PRE> where all uses of <tt>t</tt> are replaced by <tt>u array</tt>. </p> </div> <p> <hr> Last edited on 2009-12-11 14:54:29 by <span title="fenrir.cs.rit.edu"><a href="MatthewFluet">MatthewFluet</a></span>. </body></html>