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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
"http://www.w3.org/TR/html4/loose.dtd">
<html >
<head><title>psb_gedot — Dot Product</title>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
<meta name="generator" content="TeX4ht (https://tug.org/tex4ht/)">
<meta name="originator" content="TeX4ht (https://tug.org/tex4ht/)">
<!-- html,3 -->
<meta name="src" content="userhtml.tex">
<link rel="stylesheet" type="text/css" href="userhtml.css">
</head><body
>
<!--l. 111--><div class="crosslinks"><p class="noindent">[<a
href="userhtmlsu15.html" >next</a>] [<a
href="userhtmlsu10.html" >prev</a>] [<a
href="userhtmlsu10.html#tailuserhtmlsu10.html" >prev-tail</a>] [<a
href="userhtmlsu9.html#tailuserhtmlsu11.html">tail</a>] [<a
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<h4 class="subsectionHead"><span class="titlemark">4.2 </span> <a
id="x20-570004.2"></a>psb_gedot — Dot Product</h4>
<!--l. 113--><p class="noindent" >This function computes dot product between two vectors <span
class="cmmi-10">x </span>and <span
class="cmmi-10">y</span>.<br
class="newline" />If <span
class="cmmi-10">x </span>and <span
class="cmmi-10">y </span>are real vectors it computes dot-product as:
<center class="math-display" >
<img
src="userhtml2x.png" alt=" T
dot ← x y
" class="math-display" ></center>
<!--l. 117--><p class="nopar" > Else if <span
class="cmmi-10">x </span>and <span
class="cmmi-10">y </span>are complex vectors then it computes dot-product as:
<center class="math-display" >
<img
src="userhtml3x.png" alt="dot ← xHy
" class="math-display" ></center>
<!--l. 119--><p class="nopar" >
<!--l. 126--><p class="indent" > <span class="lstinline"></span><span
class="cmtt-10">psb_gedot</span><span
class="cmtt-10">(</span><span
class="cmtt-10">x</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">y</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">desc_a</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">info</span><span
class="cmtt-10"> </span><span
class="cmtt-10">[,</span><span
class="cmtt-10">global</span><span
class="cmtt-10">])</span> <div class="table">
<!--l. 128--><p class="indent" > <a
id="x20-57001r2"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 129--><p class="noindent" >
<div class="tabular"> <table id="TBL-2" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-2-1g"><col
id="TBL-2-1"><col
id="TBL-2-2"></colgroup><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-2-1-"><td style="white-space:nowrap; text-align:left;" id="TBL-2-1-1"
class="td11"><span
class="cmmi-10">dot</span>, <span
class="cmmi-10">x</span>, <span
class="cmmi-10">y </span></td><td style="white-space:nowrap; text-align:left;" id="TBL-2-1-2"
class="td11"><span
class="cmbx-10">Function</span></td>
</tr><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-2-2-"><td style="white-space:nowrap; text-align:left;" id="TBL-2-2-1"
class="td11">Short Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-2-2-2"
class="td11">psb_gedot</td>
</tr><tr
style="vertical-align:baseline;" id="TBL-2-3-"><td style="white-space:nowrap; text-align:left;" id="TBL-2-3-1"
class="td11">Long Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-2-3-2"
class="td11">psb_gedot</td>
</tr><tr
style="vertical-align:baseline;" id="TBL-2-4-"><td style="white-space:nowrap; text-align:left;" id="TBL-2-4-1"
class="td11">Short Precision Complex</td><td style="white-space:nowrap; text-align:left;" id="TBL-2-4-2"
class="td11">psb_gedot</td>
</tr><tr
style="vertical-align:baseline;" id="TBL-2-5-"><td style="white-space:nowrap; text-align:left;" id="TBL-2-5-1"
class="td11">Long Precision Complex </td><td style="white-space:nowrap; text-align:left;" id="TBL-2-5-2"
class="td11">psb_gedot</td>
</tr><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-2-6-"><td style="white-space:nowrap; text-align:left;" id="TBL-2-6-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table 2: </span><span
class="content">Data types</span></div><!--tex4ht:label?: x20-57001r2 -->
</div><hr class="endfloat" />
</div>
<dl class="description"><dt class="description">
<span
class="cmbx-10">Type:</span> </dt><dd
class="description">Synchronous.
</dd><dt class="description">
<span
class="cmbx-10">On Entry</span> </dt><dd
class="description">
</dd><dt class="description">
<span
class="cmbx-10">x</span> </dt><dd
class="description">the local portion of global dense matrix <span
class="cmmi-10">x</span>.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Specified as: a rank one or two array or an object of type
<a
href="userhtmlsu7.html#vdata"><span
class="cmtt-10">psb</span><span
class="cmtt-10">_T</span><span
class="cmtt-10">_vect</span><span
class="cmtt-10">_type</span></a> containing numbers of type specified in Table <a
href="#x20-57001r2">2<!--tex4ht:ref: tab:f90dot --></a>. The
rank of <span
class="cmmi-10">x </span>must be the same of <span
class="cmmi-10">y</span>.
</dd><dt class="description">
<span
class="cmbx-10">y</span> </dt><dd
class="description">the local portion of global dense matrix <span
class="cmmi-10">y</span>. <br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Specified as: a rank one or two array or an object of type
<a
href="userhtmlsu7.html#vdata"><span
class="cmtt-10">psb</span><span
class="cmtt-10">_T</span><span
class="cmtt-10">_vect</span><span
class="cmtt-10">_type</span></a> containing numbers of type specified in Table <a
href="#x20-57001r2">2<!--tex4ht:ref: tab:f90dot --></a>. The
rank of <span
class="cmmi-10">y </span>must be the same of <span
class="cmmi-10">x</span>.
</dd><dt class="description">
<span
class="cmbx-10">desc</span><span
class="cmbx-10">_a</span> </dt><dd
class="description">contains data structures for communications.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required</span><br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Specified as: an object of type <a
href="userhtmlsu5.html#descdata"><span
class="cmtt-10">psb</span><span
class="cmtt-10">_desc</span><span
class="cmtt-10">_type</span></a>.
</dd><dt class="description">
<span
class="cmbx-10">global</span> </dt><dd
class="description">Specifies whether the computation should include the global reduction
across all processes.<br
class="newline" />Scope: <span
class="cmbx-10">global </span><br
class="newline" />Type: <span
class="cmbx-10">optional</span>.<br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Specified as: a logical scalar. Default: <span class="lstinline"></span><span
class="cmtt-10">global</span><span
class="cmtt-10">=.</span><span
class="cmtt-10">true</span><span
class="cmtt-10">.</span><br
class="newline" />
</dd><dt class="description">
<span
class="cmbx-10">On Return</span> </dt><dd
class="description">
</dd><dt class="description">
<span
class="cmbx-10">Function value</span> </dt><dd
class="description">is the dot product of vectors <span
class="cmmi-10">x </span>and <span
class="cmmi-10">y</span>.<br
class="newline" />Scope: <span
class="cmbx-10">global </span>unless the optional variable <span class="lstinline"></span><span
class="cmtt-10">global</span><span
class="cmtt-10">=.</span><span
class="cmtt-10">false</span><span
class="cmtt-10">.</span> has been
specified<br
class="newline" />Specified as: a number of the data type indicated in Table <a
href="#x20-57001r2">2<!--tex4ht:ref: tab:f90dot --></a>.
</dd><dt class="description">
<span
class="cmbx-10">info</span> </dt><dd
class="description">Error code.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">out</span>.<br
class="newline" />An integer value; 0 means no error has been detected.</dd></dl>
<!--l. 203--><p class="noindent" ><span
class="cmbx-12">Notes</span>
<ol class="enumerate1" >
<li
class="enumerate" id="x20-57003x1">The computation of a global result requires a global communication, which
entails a significant overhead. It may be necessary and/or advisable to
compute multiple dot products at the same time; in this case, it is
possible to improve the runtime efficiency by using the following scheme:
<!--l. 218-->
<div class="lstlisting" id="listing-1"><span class="label"><a
id="x20-57004r1"></a></span><span
class="cmtt-10"> </span><span
class="cmtt-10"> </span><span
class="cmtt-10"> </span><span
class="cmtt-10">vres</span><span
class="cmtt-10">(1)</span><span
class="cmtt-10"> </span><span
class="cmtt-10">=</span><span
class="cmtt-10"> </span><span
class="cmtt-10">psb_gedot</span><span
class="cmtt-10">(</span><span
class="cmtt-10">x1</span><span
class="cmtt-10">,</span><span
class="cmtt-10">y1</span><span
class="cmtt-10">,</span><span
class="cmtt-10">desc_a</span><span
class="cmtt-10">,</span><span
class="cmtt-10">info</span><span
class="cmtt-10">,</span><span
class="cmtt-10">global</span><span
class="cmtt-10">=.</span><span
class="cmtt-10">false</span><span
class="cmtt-10">.)</span><span
class="cmtt-10"> </span><br /><span class="label"><a
id="x20-57005r2"></a></span><span
class="cmtt-10"> </span><span
class="cmtt-10"> </span><span
class="cmtt-10"> </span><span
class="cmtt-10">vres</span><span
class="cmtt-10">(2)</span><span
class="cmtt-10"> </span><span
class="cmtt-10">=</span><span
class="cmtt-10"> </span><span
class="cmtt-10">psb_gedot</span><span
class="cmtt-10">(</span><span
class="cmtt-10">x2</span><span
class="cmtt-10">,</span><span
class="cmtt-10">y2</span><span
class="cmtt-10">,</span><span
class="cmtt-10">desc_a</span><span
class="cmtt-10">,</span><span
class="cmtt-10">info</span><span
class="cmtt-10">,</span><span
class="cmtt-10">global</span><span
class="cmtt-10">=.</span><span
class="cmtt-10">false</span><span
class="cmtt-10">.)</span><span
class="cmtt-10"> </span><br /><span class="label"><a
id="x20-57006r3"></a></span><span
class="cmtt-10"> </span><span
class="cmtt-10"> </span><span
class="cmtt-10"> </span><span
class="cmtt-10">vres</span><span
class="cmtt-10">(3)</span><span
class="cmtt-10"> </span><span
class="cmtt-10">=</span><span
class="cmtt-10"> </span><span
class="cmtt-10">psb_gedot</span><span
class="cmtt-10">(</span><span
class="cmtt-10">x3</span><span
class="cmtt-10">,</span><span
class="cmtt-10">y3</span><span
class="cmtt-10">,</span><span
class="cmtt-10">desc_a</span><span
class="cmtt-10">,</span><span
class="cmtt-10">info</span><span
class="cmtt-10">,</span><span
class="cmtt-10">global</span><span
class="cmtt-10">=.</span><span
class="cmtt-10">false</span><span
class="cmtt-10">.)</span><span
class="cmtt-10"> </span><br /><span class="label"><a
id="x20-57007r4"></a></span><span
class="cmtt-10"> </span><span
class="cmtt-10"> </span><span
class="cmtt-10"> </span><span
class="cmtt-10">call</span><span
class="cmtt-10"> </span><span
class="cmtt-10">psb_sum</span><span
class="cmtt-10">(</span><span
class="cmtt-10">ctxt</span><span
class="cmtt-10">,</span><span
class="cmtt-10">vres</span><span
class="cmtt-10">(1:3))</span>
</div>
<!--l. 225--><p class="noindent" >In this way the global communication, which for small sizes is a latency-bound
operation, is invoked only once.</li></ol>
<!--l. 235--><div class="crosslinks"><p class="noindent">[<a
href="userhtmlsu15.html" >next</a>] [<a
href="userhtmlsu10.html" >prev</a>] [<a
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href="userhtmlsu11.html" >front</a>] [<a
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<!--l. 235--><p class="indent" > <a
id="tailuserhtmlsu11.html"></a>
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