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<!DOCTYPE html> <html lang="en"> <head> <title>mpzT -- GMP arbitrary-precision integer type</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="foreign function interface" href="index.html">ForeignFunctions</a> » <a title="abstract foreign type" href="___Foreign__Type.html">ForeignType</a> » <a title="foreign integer type" href="___Foreign__Integer__Type.html">ForeignIntegerType</a> » <a title="GMP arbitrary-precision integer type" href="_mpz__T.html">mpzT</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> <a href="___Foreign__Integer__Type_sp__Number.html">next</a> | previous | <a href="___Foreign__Integer__Type_sp__Number.html">forward</a> | <a href="___Foreign__Integer__Type.html">backward</a> | <a href="___Foreign__Integer__Type.html">up</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>mpzT -- GMP arbitrary-precision integer type</h1> <div> <h2>Description</h2> <div> <p>Macaulay2's native <a title="the class of all integers" href="../../Macaulay2Doc/html/___Z__Z.html">ZZ</a> integer type wraps around <span class="tt">mpz_t</span> from <a href="https://gmplib.org/">GMP</a>. This type (which is an instance of <a title="foreign integer type" href="___Foreign__Integer__Type.html">ForeignIntegerType</a>) allows for conversion between Macaulay2 integers and GMP integers without loss of precision.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : mpzT 2^100 o1 = 1267650600228229401496703205376 o1 : ForeignObject of type mpz_t</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i2 : value oo o2 = 1267650600228229401496703205376</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i3 : mpzAdd = foreignFunction("__gmpz_add", void, {mpzT, mpzT, mpzT}) o3 = __gmpz_add o3 : ForeignFunction</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i4 : x = mpzT 0 o4 = 0 o4 : ForeignObject of type mpz_t</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i5 : mpzAdd(x, 2, 3)</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i6 : x o6 = 5 o6 : ForeignObject of type mpz_t</code></pre> </td> </tr> </table> </div> <div> <div class="waystouse"> <h2>Methods that use an object of class mpzT:</h2> <ul> <li><kbd>new mpzT from ZZ</kbd></li> <li><kbd>value(mpzT)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="GMP arbitrary-precision integer type" href="_mpz__T.html">mpzT</a> is <span>a <a title="foreign integer type" href="___Foreign__Integer__Type.html">foreign integer type</a></span>, with ancestor classes <a title="foreign object" href="___Foreign__Object.html">ForeignObject</a> < <a title="the class of all hash tables" href="../../Macaulay2Doc/html/___Hash__Table.html">HashTable</a> < <a title="the class of all things" href="../../Macaulay2Doc/html/___Thing.html">Thing</a>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">ForeignFunctions.m2:1020:0</span>.</p> </div> </div> </div> </body> </html>