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<HTML><HEAD><TITLE>7.1 Finite Set Intervals</TITLE><LINK href="ozdoc.css" rel="stylesheet" type="text/css"></HEAD><BODY><TABLE align="center" border="0" cellpadding="6" cellspacing="6" class="nav"><TR bgcolor="#DDDDDD"><TD><A href="node33.html">- Up -</A></TD><TD><A href="node35.html#section.fs.integers">Next >></A></TD></TR></TABLE><DIV id="section.fs.genral"><H2><A name="section.fs.genral">7.1 Finite Set Intervals</A></H2><P></P><DL><DT><A name="label307"></A> <CODE>inf</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>FS<SPAN class="keyword">.</SPAN>inf</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P>An integer constant that denotes the smallest possible element of a set. Its value is implementation-dependent. In Mozart <CODE>FS<SPAN class="keyword">.</SPAN>inf</CODE> is 0. </P></DD><DT><A name="label309"></A> <CODE>sup</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>FS<SPAN class="keyword">.</SPAN>sup</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P>An integer constant that denotes the greatest possible element of a set. Its value is implementation-dependent. In Mozart <CODE>FS<SPAN class="keyword">.</SPAN>sup</CODE> is 134 217 726. </P></DD><DT><A name="label311"></A> <CODE>compl</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>compl $M1 $M2}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{M2} = \{\codeinline{oz}{FS.inf},\ldots,\codeinline{oz}{FS.sup}\}\setminus \codeinline{oz}{M1}" src="latex119.png"> </P></DD><DT><A name="label313"></A> <CODE>complIn</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>complIn $M1 $M2 $M3}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{M3} = \codeinline{oz}{M2} \setminus \codeinline{oz}{M1}" src="latex120.png"> </P></DD><DT><A name="label315"></A> <CODE>include</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>include <SPAN class="keyword">+</SPAN>D <SPAN class="keyword">*</SPAN>M}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{D} \in \codeinline{oz}{M} \wedge \codeinline{oz}{FS.inf} \le \codeinline{oz}{D} \le \codeinline{oz}{FS.sup}" src="latex121.png"> </P></DD><DT><A name="label317"></A> <CODE>exclude</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>exclude <SPAN class="keyword">+</SPAN>D <SPAN class="keyword">*</SPAN>M}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{D} \notin \codeinline{oz}{M}" src="latex122.png"> </P></DD><DT><A name="label319"></A> <CODE>card</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>card <SPAN class="keyword">*</SPAN>M ?D}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{D} = \# {M}" src="latex123.png"> </P></DD><DT><A name="label321"></A> <CODE>cardRange</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>cardRange <SPAN class="keyword">+</SPAN>I1 <SPAN class="keyword">+</SPAN>I2 <SPAN class="keyword">*</SPAN>M}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="\codeinline{oz}{I1} \le \# {M} \le {I2}" src="latex124.png"> </P></DD><DT><A name="label323"></A> <CODE>isIn</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>isIn <SPAN class="keyword">+</SPAN>I <SPAN class="keyword">*</SPAN>M ?B}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P><IMG alt="(\codeinline{oz}{E} \in \codeinline{oz}{M}) \rightarrow \codeinline{oz}{B}" src="latex125.png"> </P></DD><DT><A name="label325"></A> <CODE>makeWeights</CODE></DT><DD><BLOCKQUOTE class="synopsis"><P></P><BLOCKQUOTE class="code"><CODE>{FS<SPAN class="keyword">.</SPAN>makeWeights <SPAN class="keyword">+</SPAN>SpecW ?P}</CODE></BLOCKQUOTE><P></P></BLOCKQUOTE></DD><DD><P>Returns a procedure with signature <CODE>{P <SPAN class="keyword">+</SPAN>I1 ?I2</CODE>}. This procedure maps an element to a weight according to the weight description passed to <CODE>FS<SPAN class="keyword">.</SPAN>makeWeights</CODE>.</P></DD></DL><P></P></DIV><TABLE align="center" border="0" cellpadding="6" cellspacing="6" class="nav"><TR bgcolor="#DDDDDD"><TD><A href="node33.html">- Up -</A></TD><TD><A href="node35.html#section.fs.integers">Next >></A></TD></TR></TABLE><HR><ADDRESS><A href="http://www.ps.uni-sb.de/~duchier/">Denys Duchier</A>, <A href="http://www.ps.uni-sb.de/~kornstae/">Leif Kornstaedt</A>, <A href="http://www.ps.uni-sb.de/~homik/">Martin Homik</A>, <A href="http://www.ps.uni-sb.de/~tmueller/">Tobias Müller</A>, <A href="http://www.ps.uni-sb.de/~schulte/">Christian Schulte</A> and <A href="http://www.info.ucl.ac.be/~pvr">Peter Van Roy</A><BR><SPAN class="version">Version 1.4.0 (20110908185330)</SPAN></ADDRESS></BODY></HTML>
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