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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge">
<meta name="viewport" content="width=device-width, initial-scale=1">
<meta name="description" content="A community driven standard library for (modern) Fortran">
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<title>cov – Fortran-lang/stdlib</title>
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<h1>cov
<small>Interface</small>
</h1>
<div class="row">
<div class="col-lg-12">
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<ul class="list-inline" style="margin-bottom:0px;display:inline">
<li><i class="fa fa-barcode"></i> experimental</li>
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<a data-toggle="tooltip"
data-placement="bottom" data-html="true"
title="<p> 6.8% of total for procedures.</p>Including implementation: 282 statements, 6.8% of total for procedures.">282 statements</a>
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<li><i class="fa fa-code"></i><a href="../src/stdlib_stats.fypp"> Source File</a></li>
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<ol class="breadcrumb in-well text-right">
<li><a href='../sourcefile/stdlib_stats.fypp.html'>stdlib_stats.fypp</a></li>
<li><a href='../module/stdlib_stats.html'>stdlib_stats</a></li>
<li class="active">cov</li>
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<h3>Contents</h3>
<div class="panel panel-primary">
<div class="panel-heading text-left"><h3 class="panel-title"><a data-toggle="collapse" href="#funcs-0">Functions</a></h3></div>
<div id="funcs-0" class="panel-collapse collapse">
<div class="list-group">
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_cdp_cdp">cov_1_cdp_cdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_cqp_cqp">cov_1_cqp_cqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_csp_csp">cov_1_csp_csp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_iint16_dp">cov_1_iint16_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_iint32_dp">cov_1_iint32_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_iint64_dp">cov_1_iint64_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_iint8_dp">cov_1_iint8_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_rdp_rdp">cov_1_rdp_rdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_rqp_rqp">cov_1_rqp_rqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_rsp_rsp">cov_1_rsp_rsp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_cdp_cdp">cov_2_cdp_cdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_cqp_cqp">cov_2_cqp_cqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_csp_csp">cov_2_csp_csp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_iint16_dp">cov_2_iint16_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_iint32_dp">cov_2_iint32_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_iint64_dp">cov_2_iint64_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_iint8_dp">cov_2_iint8_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_rdp_rdp">cov_2_rdp_rdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_rqp_rqp">cov_2_rqp_rqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_rsp_rsp">cov_2_rsp_rsp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_cdp_cdp">cov_mask_1_cdp_cdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_cqp_cqp">cov_mask_1_cqp_cqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_csp_csp">cov_mask_1_csp_csp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_iint16_dp">cov_mask_1_iint16_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_iint32_dp">cov_mask_1_iint32_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_iint64_dp">cov_mask_1_iint64_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_iint8_dp">cov_mask_1_iint8_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_rdp_rdp">cov_mask_1_rdp_rdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_rqp_rqp">cov_mask_1_rqp_rqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_rsp_rsp">cov_mask_1_rsp_rsp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_cdp_cdp">cov_mask_2_cdp_cdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_cqp_cqp">cov_mask_2_cqp_cqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_csp_csp">cov_mask_2_csp_csp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_iint16_dp">cov_mask_2_iint16_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_iint32_dp">cov_mask_2_iint32_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_iint64_dp">cov_mask_2_iint64_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_iint8_dp">cov_mask_2_iint8_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_rdp_rdp">cov_mask_2_rdp_rdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_rqp_rqp">cov_mask_2_rqp_rqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_rsp_rsp">cov_mask_2_rsp_rsp</a>
</div>
</div>
</div>
</div>
</div>
<div class="col-md-9" id='text'>
<h2>public interface cov</h2>
<p>Covariance of array elements
(<a href="../page/specs/stdlib_stats.html#description_1">Specification</a>)</p>
<br>
<section class="visible-xs visible-sm hidden-md">
<h3>Contents</h3>
<div class="panel panel-primary">
<div class="panel-heading text-left"><h3 class="panel-title"><a data-toggle="collapse" href="#funcs-1">Functions</a></h3></div>
<div id="funcs-1" class="panel-collapse collapse">
<div class="list-group">
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_cdp_cdp">cov_1_cdp_cdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_cqp_cqp">cov_1_cqp_cqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_csp_csp">cov_1_csp_csp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_iint16_dp">cov_1_iint16_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_iint32_dp">cov_1_iint32_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_iint64_dp">cov_1_iint64_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_iint8_dp">cov_1_iint8_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_rdp_rdp">cov_1_rdp_rdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_rqp_rqp">cov_1_rqp_rqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_1_rsp_rsp">cov_1_rsp_rsp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_cdp_cdp">cov_2_cdp_cdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_cqp_cqp">cov_2_cqp_cqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_csp_csp">cov_2_csp_csp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_iint16_dp">cov_2_iint16_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_iint32_dp">cov_2_iint32_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_iint64_dp">cov_2_iint64_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_iint8_dp">cov_2_iint8_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_rdp_rdp">cov_2_rdp_rdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_rqp_rqp">cov_2_rqp_rqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_2_rsp_rsp">cov_2_rsp_rsp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_cdp_cdp">cov_mask_1_cdp_cdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_cqp_cqp">cov_mask_1_cqp_cqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_csp_csp">cov_mask_1_csp_csp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_iint16_dp">cov_mask_1_iint16_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_iint32_dp">cov_mask_1_iint32_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_iint64_dp">cov_mask_1_iint64_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_iint8_dp">cov_mask_1_iint8_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_rdp_rdp">cov_mask_1_rdp_rdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_rqp_rqp">cov_mask_1_rqp_rqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_1_rsp_rsp">cov_mask_1_rsp_rsp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_cdp_cdp">cov_mask_2_cdp_cdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_cqp_cqp">cov_mask_2_cqp_cqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_csp_csp">cov_mask_2_csp_csp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_iint16_dp">cov_mask_2_iint16_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_iint32_dp">cov_mask_2_iint32_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_iint64_dp">cov_mask_2_iint64_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_iint8_dp">cov_mask_2_iint8_dp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_rdp_rdp">cov_mask_2_rdp_rdp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_rqp_rqp">cov_mask_2_rqp_rqp</a>
<a class="list-group-item" href="../interface/cov.html#proc-cov_mask_2_rsp_rsp">cov_mask_2_rsp_rsp</a>
</div>
</div>
</div>
</section>
<br class="visible-xs visible-sm hidden-md">
<h2>Functions</h2>
<div class="panel panel-default">
<div class="panel-heading codesum"><span class="anchor" id="proc-cov_1_cdp_cdp"></span><h3>
public function cov_1_cdp_cdp(x, dim, mask, corrected) result(res)
</h3></div>
<div class="panel-body">
<h4>Arguments</h4>
<table class="table table-striped varlist">
<thead><tr><th>Type</th>
<th>Intent</th><th>Optional</th>
<th>Attributes</th><th></th><th>Name</th><th></th></thead>
<tbody>
<tr>
<td><span class="anchor" ></span>complex(kind=dp),</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>x</strong>(:)</td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>integer,</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>dim</strong></td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>logical,</td>
<td>intent(in),</td>
<td>optional</td>
<td></td><td>::</td>
<td><strong>mask</strong></td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>logical,</td>
<td>intent(in),</td>
<td>optional</td>
<td></td><td>::</td>
<td><strong>corrected</strong></td><td></td>
</tr>
</tbody>
</table>
<h4>Return Value <small>real(kind=dp)
</small></h4>
</div>
</div>
<div class="panel panel-default">
<div class="panel-heading codesum"><span class="anchor" id="proc-cov_1_cqp_cqp"></span><h3>
public function cov_1_cqp_cqp(x, dim, mask, corrected) result(res)
</h3></div>
<div class="panel-body">
<h4>Arguments</h4>
<table class="table table-striped varlist">
<thead><tr><th>Type</th>
<th>Intent</th><th>Optional</th>
<th>Attributes</th><th></th><th>Name</th><th></th></thead>
<tbody>
<tr>
<td><span class="anchor" ></span>complex(kind=qp),</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>x</strong>(:)</td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>integer,</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>dim</strong></td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>logical,</td>
<td>intent(in),</td>
<td>optional</td>
<td></td><td>::</td>
<td><strong>mask</strong></td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>logical,</td>
<td>intent(in),</td>
<td>optional</td>
<td></td><td>::</td>
<td><strong>corrected</strong></td><td></td>
</tr>
</tbody>
</table>
<h4>Return Value <small>real(kind=qp)
</small></h4>
</div>
</div>
<div class="panel panel-default">
<div class="panel-heading codesum"><span class="anchor" id="proc-cov_1_csp_csp"></span><h3>
public function cov_1_csp_csp(x, dim, mask, corrected) result(res)
</h3></div>
<div class="panel-body">
<h4>Arguments</h4>
<table class="table table-striped varlist">
<thead><tr><th>Type</th>
<th>Intent</th><th>Optional</th>
<th>Attributes</th><th></th><th>Name</th><th></th></thead>
<tbody>
<tr>
<td><span class="anchor" ></span>complex(kind=sp),</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>x</strong>(:)</td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>integer,</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>dim</strong></td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>logical,</td>
<td>intent(in),</td>
<td>optional</td>
<td></td><td>::</td>
<td><strong>mask</strong></td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>logical,</td>
<td>intent(in),</td>
<td>optional</td>
<td></td><td>::</td>
<td><strong>corrected</strong></td><td></td>
</tr>
</tbody>
</table>
<h4>Return Value <small>real(kind=sp)
</small></h4>
</div>
</div>
<div class="panel panel-default">
<div class="panel-heading codesum"><span class="anchor" id="proc-cov_1_iint16_dp"></span><h3>
public function cov_1_iint16_dp(x, dim, mask, corrected) result(res)
</h3></div>
<div class="panel-body">
<h4>Arguments</h4>
<table class="table table-striped varlist">
<thead><tr><th>Type</th>
<th>Intent</th><th>Optional</th>
<th>Attributes</th><th></th><th>Name</th><th></th></thead>
<tbody>
<tr>
<td><span class="anchor" ></span>integer(kind=int16),</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>x</strong>(:)</td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>integer,</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>dim</strong></td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>logical,</td>
<td>intent(in),</td>
<td>optional</td>
<td></td><td>::</td>
<td><strong>mask</strong></td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>logical,</td>
<td>intent(in),</td>
<td>optional</td>
<td></td><td>::</td>
<td><strong>corrected</strong></td><td></td>
</tr>
</tbody>
</table>
<h4>Return Value <small>real(kind=dp)
</small></h4>
</div>
</div>
<div class="panel panel-default">
<div class="panel-heading codesum"><span class="anchor" id="proc-cov_1_iint32_dp"></span><h3>
public function cov_1_iint32_dp(x, dim, mask, corrected) result(res)
</h3></div>
<div class="panel-body">
<h4>Arguments</h4>
<table class="table table-striped varlist">
<thead><tr><th>Type</th>
<th>Intent</th><th>Optional</th>
<th>Attributes</th><th></th><th>Name</th><th></th></thead>
<tbody>
<tr>
<td><span class="anchor" ></span>integer(kind=int32),</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>x</strong>(:)</td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>integer,</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>dim</strong></td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>logical,</td>
<td>intent(in),</td>
<td>optional</td>
<td></td><td>::</td>
<td><strong>mask</strong></td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>logical,</td>
<td>intent(in),</td>
<td>optional</td>
<td></td><td>::</td>
<td><strong>corrected</strong></td><td></td>
</tr>
</tbody>
</table>
<h4>Return Value <small>real(kind=dp)
</small></h4>
</div>
</div>
<div class="panel panel-default">
<div class="panel-heading codesum"><span class="anchor" id="proc-cov_1_iint64_dp"></span><h3>
public function cov_1_iint64_dp(x, dim, mask, corrected) result(res)
</h3></div>
<div class="panel-body">
<h4>Arguments</h4>
<table class="table table-striped varlist">
<thead><tr><th>Type</th>
<th>Intent</th><th>Optional</th>
<th>Attributes</th><th></th><th>Name</th><th></th></thead>
<tbody>
<tr>
<td><span class="anchor" ></span>integer(kind=int64),</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>x</strong>(:)</td><td></td>
</tr>
<tr>
<td><span class="anchor" ></span>integer,</td>
<td>intent(in)</td>
<td></td>
<td></td><td>::</td>
<td><strong>dim</strong></td><td></td>
</tr>
<tr>