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<html><head>
<link rel="stylesheet" href="style.css" type="text/css">
<meta content="text/html; charset=iso-8859-1" http-equiv="Content-Type">
<link rel="Start" href="index.html">
<link title="Index of types" rel=Appendix href="index_types.html">
<link title="Index of exceptions" rel=Appendix href="index_exceptions.html">
<link title="Index of values" rel=Appendix href="index_values.html">
<link title="Index of modules" rel=Appendix href="index_modules.html">
<link title="Introduction" rel="Chapter" href="Introduction.html">
<link title="Scalar" rel="Chapter" href="Scalar.html">
<link title="Interval" rel="Chapter" href="Interval.html">
<link title="Coeff" rel="Chapter" href="Coeff.html">
<link title="Dim" rel="Chapter" href="Dim.html">
<link title="Linexpr0" rel="Chapter" href="Linexpr0.html">
<link title="Lincons0" rel="Chapter" href="Lincons0.html">
<link title="Generator0" rel="Chapter" href="Generator0.html">
<link title="Texpr0" rel="Chapter" href="Texpr0.html">
<link title="Tcons0" rel="Chapter" href="Tcons0.html">
<link title="Manager" rel="Chapter" href="Manager.html">
<link title="Abstract0" rel="Chapter" href="Abstract0.html">
<link title="Var" rel="Chapter" href="Var.html">
<link title="Environment" rel="Chapter" href="Environment.html">
<link title="Linexpr1" rel="Chapter" href="Linexpr1.html">
<link title="Lincons1" rel="Chapter" href="Lincons1.html">
<link title="Generator1" rel="Chapter" href="Generator1.html">
<link title="Texpr1" rel="Chapter" href="Texpr1.html">
<link title="Tcons1" rel="Chapter" href="Tcons1.html">
<link title="Abstract1" rel="Chapter" href="Abstract1.html">
<link title="Parser" rel="Chapter" href="Parser.html">
<link title="Box" rel="Chapter" href="Box.html">
<link title="Oct" rel="Chapter" href="Oct.html">
<link title="Polka" rel="Chapter" href="Polka.html">
<link title="Ppl" rel="Chapter" href="Ppl.html">
<link title="PolkaGrid" rel="Chapter" href="PolkaGrid.html">
<link title="Mpz" rel="Chapter" href="Mpz.html">
<link title="Mpq" rel="Chapter" href="Mpq.html">
<link title="Gmp_random" rel="Chapter" href="Gmp_random.html">
<link title="Mpf" rel="Chapter" href="Mpf.html">
<link title="Mpfr" rel="Chapter" href="Mpfr.html">
<link title="Mpzf" rel="Chapter" href="Mpzf.html">
<link title="Mpqf" rel="Chapter" href="Mpqf.html">
<link title="Mpfrf" rel="Chapter" href="Mpfrf.html"><title>Mpzf</title>
</head>
<body>
<code class="code"><span class="keyword">sig</span><br>
&nbsp;&nbsp;<span class="keyword">type</span>&nbsp;t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;to_mpz&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpz</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;of_mpz&nbsp;:&nbsp;<span class="constructor">Mpz</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;mpz&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpz</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;mpzf&nbsp;:&nbsp;<span class="constructor">Mpz</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;print&nbsp;:&nbsp;<span class="constructor">Format</span>.formatter&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;unit<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;of_string&nbsp;:&nbsp;string&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;of_float&nbsp;:&nbsp;float&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;of_int&nbsp;:&nbsp;int&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;to_string&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;string<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;to_float&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;float<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;add&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;add_int&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;int&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;sub&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;sub_int&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;int&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;mul&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;mul_int&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;int&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;cdiv_q&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;cdiv_r&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;cdiv_qr&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;*&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;fdiv_q&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;fdiv_r&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;fdiv_qr&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;*&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;tdiv_q&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;tdiv_r&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;tdiv_qr&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;*&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;divexact&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;gmod&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;gcd&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;lcm&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;neg&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;abs&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;cmp&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;int<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;cmp_int&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;int&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;int<br>
&nbsp;&nbsp;<span class="keyword">val</span>&nbsp;sgn&nbsp;:&nbsp;<span class="constructor">Mpzf</span>.t&nbsp;<span class="keywordsign">-&gt;</span>&nbsp;int<br>
<span class="keyword">end</span></code></body></html>