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112 lines
5.5 KiB
HTML
112 lines
5.5 KiB
HTML
4 years ago
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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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<html>
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<!-- This manual describes how to install and use the GNU multiple precision
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arithmetic library, version 6.1.0.
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Copyright 1991, 1993-2015 Free Software Foundation, Inc.
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Permission is granted to copy, distribute and/or modify this document under
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the terms of the GNU Free Documentation License, Version 1.3 or any later
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version published by the Free Software Foundation; with no Invariant Sections,
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with the Front-Cover Texts being "A GNU Manual", and with the Back-Cover
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Texts being "You have freedom to copy and modify this GNU Manual, like GNU
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software". A copy of the license is included in
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GNU Free Documentation License. -->
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<!-- Created by GNU Texinfo 6.4, http://www.gnu.org/software/texinfo/ -->
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<head>
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<title>Rational Number Functions (GNU MP 6.1.0)</title>
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<meta name="description" content="How to install and use the GNU multiple precision arithmetic library, version 6.1.0.">
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<meta name="keywords" content="Rational Number Functions (GNU MP 6.1.0)">
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<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
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<link href="index.html#Top" rel="start" title="Top">
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<link href="Concept-Index.html#Concept-Index" rel="index" title="Concept Index">
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<link href="index.html#Top" rel="up" title="Top">
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<link href="Initializing-Rationals.html#Initializing-Rationals" rel="next" title="Initializing Rationals">
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<link href="Integer-Special-Functions.html#Integer-Special-Functions" rel="prev" title="Integer Special Functions">
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</style>
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</head>
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<body lang="en">
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<a name="Rational-Number-Functions"></a>
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<div class="header">
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<p>
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Next: <a href="Floating_002dpoint-Functions.html#Floating_002dpoint-Functions" accesskey="n" rel="next">Floating-point Functions</a>, Previous: <a href="Integer-Functions.html#Integer-Functions" accesskey="p" rel="prev">Integer Functions</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> [<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
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</div>
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<hr>
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<a name="Rational-Number-Functions-1"></a>
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<h2 class="chapter">6 Rational Number Functions</h2>
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<a name="index-Rational-number-functions"></a>
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<p>This chapter describes the GMP functions for performing arithmetic on rational
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numbers. These functions start with the prefix <code>mpq_</code>.
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</p>
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<p>Rational numbers are stored in objects of type <code>mpq_t</code>.
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</p>
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<p>All rational arithmetic functions assume operands have a canonical form, and
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canonicalize their result. The canonical from means that the denominator and
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the numerator have no common factors, and that the denominator is positive.
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Zero has the unique representation 0/1.
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</p>
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<p>Pure assignment functions do not canonicalize the assigned variable. It is
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the responsibility of the user to canonicalize the assigned variable before
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any arithmetic operations are performed on that variable.
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</p>
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<dl>
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<dt><a name="index-mpq_005fcanonicalize"></a>Function: <em>void</em> <strong>mpq_canonicalize</strong> <em>(mpq_t <var>op</var>)</em></dt>
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<dd><p>Remove any factors that are common to the numerator and denominator of
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<var>op</var>, and make the denominator positive.
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</p></dd></dl>
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<table class="menu" border="0" cellspacing="0">
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<tr><td align="left" valign="top">• <a href="Initializing-Rationals.html#Initializing-Rationals" accesskey="1">Initializing Rationals</a>:</td><td> </td><td align="left" valign="top">
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</td></tr>
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<tr><td align="left" valign="top">• <a href="Rational-Conversions.html#Rational-Conversions" accesskey="2">Rational Conversions</a>:</td><td> </td><td align="left" valign="top">
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</td></tr>
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<tr><td align="left" valign="top">• <a href="Rational-Arithmetic.html#Rational-Arithmetic" accesskey="3">Rational Arithmetic</a>:</td><td> </td><td align="left" valign="top">
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</td></tr>
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<tr><td align="left" valign="top">• <a href="Comparing-Rationals.html#Comparing-Rationals" accesskey="4">Comparing Rationals</a>:</td><td> </td><td align="left" valign="top">
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</td></tr>
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<tr><td align="left" valign="top">• <a href="Applying-Integer-Functions.html#Applying-Integer-Functions" accesskey="5">Applying Integer Functions</a>:</td><td> </td><td align="left" valign="top">
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</td></tr>
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<tr><td align="left" valign="top">• <a href="I_002fO-of-Rationals.html#I_002fO-of-Rationals" accesskey="6">I/O of Rationals</a>:</td><td> </td><td align="left" valign="top">
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</td></tr>
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</table>
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</body>
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</html>
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