<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<!-- This manual is for GNU MPC, a library for multiple precision complex arithmetic,
version 1.0.3 of February 2015.
Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012 INRIA
Permission is granted to copy, distribute and/or modify this document
under the terms of the GNU Free Documentation License, Version 1.3 or
any later version published by the Free Software Foundation; with no
Invariant Sections. A copy of the license is included in the section
entitled "GNU Free Documentation License." -->
<!-- Created by GNU Texinfo 6.4, http://www.gnu.org/software/texinfo/ -->
<head>
<title>Basic Arithmetic (GNU MPC 1.0.3)</title>
<meta name="description" content="Basic Arithmetic (GNU MPC 1.0.3)">
<meta name="keywords" content="Basic Arithmetic (GNU MPC 1.0.3)">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="makeinfo">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<link href="index.html#Top" rel="start" title="Top">
<link href="Concept-Index.html#Concept-Index" rel="index" title="Concept Index">
<link href="Complex-Functions.html#Complex-Functions" rel="up" title="Complex Functions">
<link href="Power-Functions-and-Logarithm.html#Power-Functions-and-Logarithm" rel="next" title="Power Functions and Logarithm">
<link href="Projection-_0026-Decomposing.html#Projection-_0026-Decomposing" rel="prev" title="Projection & Decomposing">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.indentedblock {margin-right: 0em}
blockquote.smallindentedblock {margin-right: 0em; font-size: smaller}
blockquote.smallquotation {font-size: smaller}
div.display {margin-left: 3.2em}
div.example {margin-left: 3.2em}
div.lisp {margin-left: 3.2em}
div.smalldisplay {margin-left: 3.2em}
div.smallexample {margin-left: 3.2em}
div.smalllisp {margin-left: 3.2em}
kbd {font-style: oblique}
pre.display {font-family: inherit}
pre.format {font-family: inherit}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: inherit; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: inherit; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.nolinebreak {white-space: nowrap}
span.roman {font-family: initial; font-weight: normal}
span.sansserif {font-family: sans-serif; font-weight: normal}
ul.no-bullet {list-style: none}
-->
</style>
</head>
<body lang="en">
<a name="Basic-Arithmetic"></a>
<div class="header">
<p>
Next: <a href="Power-Functions-and-Logarithm.html#Power-Functions-and-Logarithm" accesskey="n" rel="next">Power Functions and Logarithm</a>, Previous: <a href="Projection-_0026-Decomposing.html#Projection-_0026-Decomposing" accesskey="p" rel="prev">Projection & Decomposing</a>, Up: <a href="Complex-Functions.html#Complex-Functions" accesskey="u" rel="up">Complex Functions</a> [<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Basic-Arithmetic-Functions"></a>
<h3 class="section">5.7 Basic Arithmetic Functions</h3>
<a name="index-Complex-arithmetic-functions"></a>
<a name="index-Arithmetic-functions"></a>
<p>All the following functions are designed in such a way that, when working
with real numbers instead of complex numbers, their complexity should
essentially be the same as with the GNU MPFR library, with only a marginal
overhead due to the GNU MPC layer.
</p>
<dl>
<dt><a name="index-mpc_005fadd"></a>Function: <em>int</em> <strong>mpc_add</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, mpc_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fadd_005fui"></a>Function: <em>int</em> <strong>mpc_add_ui</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, unsigned long int <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fadd_005ffr"></a>Function: <em>int</em> <strong>mpc_add_fr</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, mpfr_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to <var>op1</var> <em>+</em> <var>op2</var> rounded according to <var>rnd</var>.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fsub"></a>Function: <em>int</em> <strong>mpc_sub</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, mpc_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fsub_005ffr"></a>Function: <em>int</em> <strong>mpc_sub_fr</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, mpfr_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005ffr_005fsub"></a>Function: <em>int</em> <strong>mpc_fr_sub</strong> <em>(mpc_t <var>rop</var>, mpfr_t <var>op1</var>, mpc_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fsub_005fui"></a>Function: <em>int</em> <strong>mpc_sub_ui</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, unsigned long int <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fui_005fsub"></a>Macro: <em>int</em> <strong>mpc_ui_sub</strong> <em>(mpc_t <var>rop</var>, unsigned long int <var>op1</var>, mpc_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fui_005fui_005fsub"></a>Function: <em>int</em> <strong>mpc_ui_ui_sub</strong> <em>(mpc_t <var>rop</var>, unsigned long int <var>re1</var>, unsigned long int <var>im1</var>, mpc_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to <var>op1</var> - <var>op2</var> rounded according to <var>rnd</var>.
For <code>mpc_ui_ui_sub</code>, <var>op1</var> is <var>re1</var> + <var>im1</var>.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fneg"></a>Function: <em>int</em> <strong>mpc_neg</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to -<var>op</var> rounded according to <var>rnd</var>.
Just changes the sign if <var>rop</var> and <var>op</var> are the same variable.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fmul"></a>Function: <em>int</em> <strong>mpc_mul</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, mpc_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fmul_005fui"></a>Function: <em>int</em> <strong>mpc_mul_ui</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, unsigned long int <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fmul_005fsi"></a>Function: <em>int</em> <strong>mpc_mul_si</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, long int <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fmul_005ffr"></a>Function: <em>int</em> <strong>mpc_mul_fr</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, mpfr_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to <var>op1</var> times <var>op2</var> rounded according to <var>rnd</var>.
Note: for <code>mpc_mul</code>, in case <var>op1</var> and <var>op2</var> have the same value,
use <code>mpc_sqr</code> for better efficiency.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fmul_005fi"></a>Function: <em>int</em> <strong>mpc_mul_i</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op</var>, int <var>sgn</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to <var>op</var> times the imaginary unit i if <var>sgn</var> is
non-negative, set <var>rop</var> to <var>op</var> times -i otherwise,
in both cases rounded according to <var>rnd</var>.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fsqr"></a>Function: <em>int</em> <strong>mpc_sqr</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to the square of <var>op</var> rounded according to <var>rnd</var>.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005ffma"></a>Function: <em>int</em> <strong>mpc_fma</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, mpc_t <var>op2</var>, mpc_t <var>op3</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to <var>op1</var>*<var>op2</var>+<var>op3</var>,
rounded according to <var>rnd</var>, with only one final rounding.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fdiv"></a>Function: <em>int</em> <strong>mpc_div</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, mpc_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fdiv_005fui"></a>Function: <em>int</em> <strong>mpc_div_ui</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, unsigned long int <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fdiv_005ffr"></a>Function: <em>int</em> <strong>mpc_div_fr</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, mpfr_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fui_005fdiv"></a>Function: <em>int</em> <strong>mpc_ui_div</strong> <em>(mpc_t <var>rop</var>, unsigned long int <var>op1</var>, mpc_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005ffr_005fdiv"></a>Function: <em>int</em> <strong>mpc_fr_div</strong> <em>(mpc_t <var>rop</var>, mpfr_t <var>op1</var>, mpc_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to <var>op1</var>/<var>op2</var> rounded according to <var>rnd</var>.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fconj"></a>Function: <em>int</em> <strong>mpc_conj</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to the conjugate of <var>op</var> rounded according to <var>rnd</var>.
Just changes the sign of the imaginary part
if <var>rop</var> and <var>op</var> are the same variable.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fabs"></a>Function: <em>int</em> <strong>mpc_abs</strong> <em>(mpfr_t <var>rop</var>, mpc_t <var>op</var>, mpfr_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set the floating-point number <var>rop</var> to the absolute value of <var>op</var>,
rounded in the direction <var>rnd</var>.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fnorm"></a>Function: <em>int</em> <strong>mpc_norm</strong> <em>(mpfr_t <var>rop</var>, mpc_t <var>op</var>, mpfr_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set the floating-point number <var>rop</var> to the norm of <var>op</var>
(i.e., the square of its absolute value),
rounded in the direction <var>rnd</var>.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fmul_005f2ui"></a>Function: <em>int</em> <strong>mpc_mul_2ui</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, unsigned long int <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fmul_005f2si"></a>Function: <em>int</em> <strong>mpc_mul_2si</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, long int <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to <var>op1</var> times 2 raised to <var>op2</var>
rounded according to <var>rnd</var>. Just modifies the exponents
of the real and imaginary parts by <var>op2</var>
when <var>rop</var> and <var>op1</var> are identical.
</p></dd></dl>
<dl>
<dt><a name="index-mpc_005fdiv_005f2ui"></a>Function: <em>int</em> <strong>mpc_div_2ui</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, unsigned long int <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dt><a name="index-mpc_005fdiv_005f2si"></a>Function: <em>int</em> <strong>mpc_div_2si</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, long int <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
<dd><p>Set <var>rop</var> to <var>op1</var> divided by 2 raised to <var>op2</var>
rounded according to <var>rnd</var>. Just modifies the exponents
of the real and imaginary parts by <var>op2</var>
when <var>rop</var> and <var>op1</var> are identical.
</p></dd></dl>
<hr>
<div class="header">
<p>
Next: <a href="Power-Functions-and-Logarithm.html#Power-Functions-and-Logarithm" accesskey="n" rel="next">Power Functions and Logarithm</a>, Previous: <a href="Projection-_0026-Decomposing.html#Projection-_0026-Decomposing" accesskey="p" rel="prev">Projection & Decomposing</a>, Up: <a href="Complex-Functions.html#Complex-Functions" accesskey="u" rel="up">Complex Functions</a> [<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
</div>
</body>
</html>