txlyre
/
avram


			
							123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117
							<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html401/loose.dtd">
<html>
<!-- Created on November 8, 2012 by texi2html 1.82
texi2html was written by: 
            Lionel Cons <[email protected]> (original author)
            Karl Berry  <[email protected]>
            Olaf Bachmann <[email protected]>
            and many others.
Maintained by: Many creative people.
Send bugs and suggestions to <[email protected]>
-->
<head>
<title>avram - a virtual machine code interpreter: B.2 Insert</title>

<meta name="description" content="avram - a virtual machine code interpreter: B.2 Insert">
<meta name="keywords" content="avram - a virtual machine code interpreter: B.2 Insert">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="texi2html 1.82">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.smallquotation {font-size: smaller}
pre.display {font-family: serif}
pre.format {font-family: serif}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: serif; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: serif; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.roman {font-family:serif; font-weight:normal;}
span.sansserif {font-family:sans-serif; font-weight:normal;}
ul.toc {list-style: none}
-->
</style>


</head>

<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">

<a name="Insert"></a>
<table cellpadding="1" cellspacing="1" border="0">
<tr><td valign="middle" align="left">[<a href="Pairwise.html#Pairwise" title="Previous section in reading order"> &lt; </a>]</td>
<td valign="middle" align="left">[<a href="Replace.html#Replace" title="Next section in reading order"> &gt; </a>]</td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left">[<a href="Reference-Implementations.html#Reference-Implementations" title="Beginning of this chapter or previous chapter"> &lt;&lt; </a>]</td>
<td valign="middle" align="left">[<a href="Reference-Implementations.html#Reference-Implementations" title="Up section"> Up </a>]</td>
<td valign="middle" align="left">[<a href="Changes.html#Changes" title="Next chapter"> &gt;&gt; </a>]</td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left"> &nbsp; </td>
<td valign="middle" align="left">[<a href="avram.html#Top" title="Cover (top) of document">Top</a>]</td>
<td valign="middle" align="left">[<a href="avram_toc.html#SEC_Contents" title="Table of contents">Contents</a>]</td>
<td valign="middle" align="left">[<a href="Function-Index.html#Function-Index" title="Index">Index</a>]</td>
<td valign="middle" align="left">[<a href="avram_abt.html#SEC_About" title="About (help)"> ? </a>]</td>
</tr></table>
<hr size="1">
<a name="Insert-1"></a>
<h2 class="section">B.2 Insert</h2>

<a name="index-insert-1"></a>
<p>This function is mentioned in <a href="Sort.html#Sort">Sort</a>, on sorting. It takes the
virtual code for a partial order relational operator and returns the
code for a function of two arguments. The left argument is a list item
and the right argument is a list of items of the same type, which is
already sorted with respect to the relational operator given as the
argument to <code>insert</code>. The result of the function returned by
<code>insert</code> is a list similar to its right argument but with the left
argument inserted in the proper position to maintain the order.
</p>
<p>This code makes use of the <code>self</code>, <code>argument</code>, <code>head</code>
and <code>tail</code> declarations associated with <code>pairwise</code>.
</p>
<table><tr><td>&nbsp;</td><td><pre class="example">
insert =

bu(compose,refer) (hired conditional)(
   constant compose(right,argument),
   couple(
      (hired conditional)(
         (hired compose)(
            identity,
            constant compose(
               couple(left,compose(head,right)),
               argument)),
         constant (
            argument,
            couple(
               compose(head,compose(right,argument)),
               (hired meta)(
                  self,
                  couple(
                     compose(left,argument),
                     compose(tail,compose(right,argument))))))),
      constant argument))

</pre></td></tr></table>

<p>As with the other higher order functions in this appendix, the only
feasible ways to verify it would be either by formal proof or by some
form of symbolic interpretation.
</p>

<hr size="1">
<p>
 <font size="-1">
  This document was generated on <i>November 8, 2012</i> using <a href="http://www.nongnu.org/texi2html/"><i>texi2html 1.82</i></a>.
 </font>
 <br>

</p>
</body>
</html>