You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
122 lines
7.0 KiB
HTML
122 lines
7.0 KiB
HTML
<!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>Power Functions and Logarithm (GNU MPC 1.0.3)</title>
|
|
|
|
<meta name="description" content="Power Functions and Logarithm (GNU MPC 1.0.3)">
|
|
<meta name="keywords" content="Power Functions and Logarithm (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="Trigonometric-Functions.html#Trigonometric-Functions" rel="next" title="Trigonometric Functions">
|
|
<link href="Basic-Arithmetic.html#Basic-Arithmetic" rel="prev" title="Basic Arithmetic">
|
|
<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="Power-Functions-and-Logarithm"></a>
|
|
<div class="header">
|
|
<p>
|
|
Next: <a href="Trigonometric-Functions.html#Trigonometric-Functions" accesskey="n" rel="next">Trigonometric Functions</a>, Previous: <a href="Basic-Arithmetic.html#Basic-Arithmetic" accesskey="p" rel="prev">Basic Arithmetic</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="Power-Functions-and-Logarithm-1"></a>
|
|
<h3 class="section">5.8 Power Functions and Logarithm</h3>
|
|
<a name="index-Power-functions"></a>
|
|
<a name="index-Logarithm"></a>
|
|
|
|
<dl>
|
|
<dt><a name="index-mpc_005fsqrt"></a>Function: <em>int</em> <strong>mpc_sqrt</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 root of <var>op</var> rounded according to <var>rnd</var>.
|
|
The returned value <var>rop</var> has a non-negative real part, and if its real
|
|
part is zero, a non-negative imaginary part.
|
|
</p></dd></dl>
|
|
|
|
<dl>
|
|
<dt><a name="index-mpc_005fpow"></a>Function: <em>int</em> <strong>mpc_pow</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_005fpow_005fd"></a>Function: <em>int</em> <strong>mpc_pow_d</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, double <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
|
|
<dt><a name="index-mpc_005fpow_005fld"></a>Function: <em>int</em> <strong>mpc_pow_ld</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, long double <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
|
|
<dt><a name="index-mpc_005fpow_005fsi"></a>Function: <em>int</em> <strong>mpc_pow_si</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, long <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
|
|
<dt><a name="index-mpc_005fpow_005fui"></a>Function: <em>int</em> <strong>mpc_pow_ui</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, unsigned long <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
|
|
<dt><a name="index-mpc_005fpow_005fz"></a>Function: <em>int</em> <strong>mpc_pow_z</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op1</var>, mpz_t <var>op2</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
|
|
<dt><a name="index-mpc_005fpow_005ffr"></a>Function: <em>int</em> <strong>mpc_pow_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> raised to the power <var>op2</var>, rounded according
|
|
to <var>rnd</var>.
|
|
For <code>mpc_pow_d</code>, <code>mpc_pow_ld</code>, <code>mpc_pow_si</code>, <code>mpc_pow_ui</code>,
|
|
<code>mpc_pow_z</code> and <code>mpc_pow_fr</code>,
|
|
the imaginary part of <var>op2</var> is considered as +0.
|
|
When both <var>op1</var> and <var>op2</var> are zero, the result has real part 1,
|
|
and imaginary part 0, with sign being the opposite of that of <var>op2</var>.
|
|
</p></dd></dl>
|
|
|
|
<dl>
|
|
<dt><a name="index-mpc_005fexp"></a>Function: <em>int</em> <strong>mpc_exp</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 exponential of <var>op</var>,
|
|
rounded according to <var>rnd</var> with the precision of <var>rop</var>.
|
|
</p></dd></dl>
|
|
|
|
<dl>
|
|
<dt><a name="index-mpc_005flog"></a>Function: <em>int</em> <strong>mpc_log</strong> <em>(mpc_t <var>rop</var>, mpc_t <var>op</var>, mpc_rnd_t <var>rnd</var>)</em></dt>
|
|
<dt><a name="index-mpc_005flog10"></a>Function: <em>int</em> <strong>mpc_log10</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 natural and base-10 logarithm of <var>op</var> respectively,
|
|
rounded according to <var>rnd</var> with the precision of <var>rop</var>.
|
|
The principal branch is chosen, with the branch cut on the negative real axis,
|
|
so that the imaginary part of the result lies in
|
|
<em>]-\pi , \pi]</em> and <em>]-\pi/log(10) , \pi/log(10)]</em> respectively.
|
|
</p></dd></dl>
|
|
|
|
|
|
<hr>
|
|
<div class="header">
|
|
<p>
|
|
Next: <a href="Trigonometric-Functions.html#Trigonometric-Functions" accesskey="n" rel="next">Trigonometric Functions</a>, Previous: <a href="Basic-Arithmetic.html#Basic-Arithmetic" accesskey="p" rel="prev">Basic Arithmetic</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>
|