140 lines
5.0 KiB
HTML
140 lines
5.0 KiB
HTML
|
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
|
||
|
|
<html>
|
||
|
|
<!-- Copyright (C) 1999-2016 Free Software Foundation, Inc.
|
||
|
|
|
||
|
|
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 the
|
||
|
|
Invariant Sections being "Funding Free Software", the Front-Cover
|
||
|
|
Texts being (a) (see below), and with the Back-Cover Texts being (b)
|
||
|
|
(see below). A copy of the license is included in the section entitled
|
||
|
|
"GNU Free Documentation License".
|
||
|
|
|
||
|
|
(a) The FSF's Front-Cover Text is:
|
||
|
|
|
||
|
|
A GNU Manual
|
||
|
|
|
||
|
|
(b) The FSF's Back-Cover Text is:
|
||
|
|
|
||
|
|
You have freedom to copy and modify this GNU Manual, like GNU
|
||
|
|
software. Copies published by the Free Software Foundation raise
|
||
|
|
funds for GNU development. -->
|
||
|
|
<!-- Created by GNU Texinfo 5.2, http://www.gnu.org/software/texinfo/ -->
|
||
|
|
<head>
|
||
|
|
<title>The GNU Fortran Compiler: NORM2</title>
|
||
|
|
|
||
|
|
<meta name="description" content="The GNU Fortran Compiler: NORM2">
|
||
|
|
<meta name="keywords" content="The GNU Fortran Compiler: NORM2">
|
||
|
|
<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="Option-Index.html#Option-Index" rel="index" title="Option Index">
|
||
|
|
<link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
|
||
|
|
<link href="Intrinsic-Procedures.html#Intrinsic-Procedures" rel="up" title="Intrinsic Procedures">
|
||
|
|
<link href="NOT.html#NOT" rel="next" title="NOT">
|
||
|
|
<link href="NINT.html#NINT" rel="prev" title="NINT">
|
||
|
|
<style type="text/css">
|
||
|
|
<!--
|
||
|
|
a.summary-letter {text-decoration: none}
|
||
|
|
blockquote.smallquotation {font-size: smaller}
|
||
|
|
div.display {margin-left: 3.2em}
|
||
|
|
div.example {margin-left: 3.2em}
|
||
|
|
div.indentedblock {margin-left: 3.2em}
|
||
|
|
div.lisp {margin-left: 3.2em}
|
||
|
|
div.smalldisplay {margin-left: 3.2em}
|
||
|
|
div.smallexample {margin-left: 3.2em}
|
||
|
|
div.smallindentedblock {margin-left: 3.2em; font-size: smaller}
|
||
|
|
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.nocodebreak {white-space:nowrap}
|
||
|
|
span.nolinebreak {white-space:nowrap}
|
||
|
|
span.roman {font-family:serif; font-weight:normal}
|
||
|
|
span.sansserif {font-family:sans-serif; font-weight:normal}
|
||
|
|
ul.no-bullet {list-style: none}
|
||
|
|
-->
|
||
|
|
</style>
|
||
|
|
|
||
|
|
|
||
|
|
</head>
|
||
|
|
|
||
|
|
<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
|
||
|
|
<a name="NORM2"></a>
|
||
|
|
<div class="header">
|
||
|
|
<p>
|
||
|
|
Next: <a href="NOT.html#NOT" accesskey="n" rel="next">NOT</a>, Previous: <a href="NINT.html#NINT" accesskey="p" rel="prev">NINT</a>, Up: <a href="Intrinsic-Procedures.html#Intrinsic-Procedures" accesskey="u" rel="up">Intrinsic Procedures</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Option-Index.html#Option-Index" title="Index" rel="index">Index</a>]</p>
|
||
|
|
</div>
|
||
|
|
<hr>
|
||
|
|
<a name="NORM2-_002d_002d_002d-Euclidean-vector-norms"></a>
|
||
|
|
<h3 class="section">9.199 <code>NORM2</code> — Euclidean vector norms</h3>
|
||
|
|
<a name="index-NORM2"></a>
|
||
|
|
<a name="index-Euclidean-vector-norm"></a>
|
||
|
|
<a name="index-L2-vector-norm"></a>
|
||
|
|
<a name="index-norm_002c-Euclidean"></a>
|
||
|
|
|
||
|
|
<dl compact="compact">
|
||
|
|
<dt><em>Description</em>:</dt>
|
||
|
|
<dd><p>Calculates the Euclidean vector norm (<em>L_2</em> norm) of
|
||
|
|
of <var>ARRAY</var> along dimension <var>DIM</var>.
|
||
|
|
</p>
|
||
|
|
</dd>
|
||
|
|
<dt><em>Standard</em>:</dt>
|
||
|
|
<dd><p>Fortran 2008 and later
|
||
|
|
</p>
|
||
|
|
</dd>
|
||
|
|
<dt><em>Class</em>:</dt>
|
||
|
|
<dd><p>Transformational function
|
||
|
|
</p>
|
||
|
|
</dd>
|
||
|
|
<dt><em>Syntax</em>:</dt>
|
||
|
|
<dd><table>
|
||
|
|
<tr><td width="80%"><code>RESULT = NORM2(ARRAY[, DIM])</code></td></tr>
|
||
|
|
</table>
|
||
|
|
|
||
|
|
</dd>
|
||
|
|
<dt><em>Arguments</em>:</dt>
|
||
|
|
<dd><table>
|
||
|
|
<tr><td width="15%"><var>ARRAY</var></td><td width="70%">Shall be an array of type <code>REAL</code></td></tr>
|
||
|
|
<tr><td width="15%"><var>DIM</var></td><td width="70%">(Optional) shall be a scalar of type
|
||
|
|
<code>INTEGER</code> with a value in the range from 1 to n, where n
|
||
|
|
equals the rank of <var>ARRAY</var>.</td></tr>
|
||
|
|
</table>
|
||
|
|
|
||
|
|
</dd>
|
||
|
|
<dt><em>Return value</em>:</dt>
|
||
|
|
<dd><p>The result is of the same type as <var>ARRAY</var>.
|
||
|
|
</p>
|
||
|
|
<p>If <var>DIM</var> is absent, a scalar with the square root of the sum of all
|
||
|
|
elements in <var>ARRAY</var> squared is returned. Otherwise, an array of
|
||
|
|
rank <em>n-1</em>, where <em>n</em> equals the rank of <var>ARRAY</var>, and a
|
||
|
|
shape similar to that of <var>ARRAY</var> with dimension <var>DIM</var> dropped
|
||
|
|
is returned.
|
||
|
|
</p>
|
||
|
|
</dd>
|
||
|
|
<dt><em>Example</em>:</dt>
|
||
|
|
<dd><div class="smallexample">
|
||
|
|
<pre class="smallexample">PROGRAM test_sum
|
||
|
|
REAL :: x(5) = [ real :: 1, 2, 3, 4, 5 ]
|
||
|
|
print *, NORM2(x) ! = sqrt(55.) ~ 7.416
|
||
|
|
END PROGRAM
|
||
|
|
</pre></div>
|
||
|
|
</dd>
|
||
|
|
</dl>
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
</body>
|
||
|
|
</html>
|