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121 lines
5.8 KiB
HTML
121 lines
5.8 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>Comparing Rationals (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="Comparing Rationals (GNU MP 6.1.0)">
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<meta name="resource-type" content="document">
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<meta name="distribution" content="global">
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<meta name="Generator" content="makeinfo">
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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="Rational-Number-Functions.html#Rational-Number-Functions" rel="up" title="Rational Number Functions">
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<link href="Applying-Integer-Functions.html#Applying-Integer-Functions" rel="next" title="Applying Integer Functions">
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<link href="Rational-Arithmetic.html#Rational-Arithmetic" rel="prev" title="Rational Arithmetic">
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-->
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</style>
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</head>
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<body lang="en">
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<a name="Comparing-Rationals"></a>
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<div class="header">
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<p>
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Next: <a href="Applying-Integer-Functions.html#Applying-Integer-Functions" accesskey="n" rel="next">Applying Integer Functions</a>, Previous: <a href="Rational-Arithmetic.html#Rational-Arithmetic" accesskey="p" rel="prev">Rational Arithmetic</a>, Up: <a href="Rational-Number-Functions.html#Rational-Number-Functions" accesskey="u" rel="up">Rational Number Functions</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="Comparison-Functions-1"></a>
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<h3 class="section">6.4 Comparison Functions</h3>
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<a name="index-Rational-comparison-functions"></a>
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<a name="index-Comparison-functions-1"></a>
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<dl>
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<dt><a name="index-mpq_005fcmp"></a>Function: <em>int</em> <strong>mpq_cmp</strong> <em>(const mpq_t <var>op1</var>, const mpq_t <var>op2</var>)</em></dt>
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<dt><a name="index-mpq_005fcmp_005fz"></a>Function: <em>int</em> <strong>mpq_cmp_z</strong> <em>(const mpq_t <var>op1</var>, const mpz_t <var>op2</var>)</em></dt>
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<dd><p>Compare <var>op1</var> and <var>op2</var>. Return a positive value if <em><var>op1</var> >
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<var>op2</var></em>, zero if <em><var>op1</var> = <var>op2</var></em>, and a negative value if
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<em><var>op1</var> < <var>op2</var></em>.
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</p>
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<p>To determine if two rationals are equal, <code>mpq_equal</code> is faster than
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<code>mpq_cmp</code>.
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</p></dd></dl>
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<dl>
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<dt><a name="index-mpq_005fcmp_005fui"></a>Macro: <em>int</em> <strong>mpq_cmp_ui</strong> <em>(const mpq_t <var>op1</var>, unsigned long int <var>num2</var>, unsigned long int <var>den2</var>)</em></dt>
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<dt><a name="index-mpq_005fcmp_005fsi"></a>Macro: <em>int</em> <strong>mpq_cmp_si</strong> <em>(const mpq_t <var>op1</var>, long int <var>num2</var>, unsigned long int <var>den2</var>)</em></dt>
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<dd><p>Compare <var>op1</var> and <var>num2</var>/<var>den2</var>. Return a positive value if
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<em><var>op1</var> > <var>num2</var>/<var>den2</var></em>, zero if <em><var>op1</var> =
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<var>num2</var>/<var>den2</var></em>, and a negative value if <em><var>op1</var> <
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<var>num2</var>/<var>den2</var></em>.
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</p>
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<p><var>num2</var> and <var>den2</var> are allowed to have common factors.
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</p>
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<p>These functions are implemented as a macros and evaluate their arguments
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multiple times.
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</p></dd></dl>
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<dl>
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<dt><a name="index-mpq_005fsgn"></a>Macro: <em>int</em> <strong>mpq_sgn</strong> <em>(const mpq_t <var>op</var>)</em></dt>
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<dd><a name="index-Sign-tests-1"></a>
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<a name="index-Rational-sign-tests"></a>
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<p>Return <em>+1</em> if <em><var>op</var> > 0</em>, 0 if <em><var>op</var> = 0</em>, and
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<em>-1</em> if <em><var>op</var> < 0</em>.
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</p>
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<p>This function is actually implemented as a macro. It evaluates its
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argument multiple times.
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</p></dd></dl>
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<dl>
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<dt><a name="index-mpq_005fequal"></a>Function: <em>int</em> <strong>mpq_equal</strong> <em>(const mpq_t <var>op1</var>, const mpq_t <var>op2</var>)</em></dt>
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<dd><p>Return non-zero if <var>op1</var> and <var>op2</var> are equal, zero if they are
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non-equal. Although <code>mpq_cmp</code> can be used for the same purpose, this
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function is much faster.
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</p></dd></dl>
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</body>
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</html>
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