论坛 › 嵌入式系统 › 【米尔MYS-8MMX】米尔MYS-8MMQ6-8E2D-180-C应用一——计算圆周率π

tobot 发表于 2021-8-10 22:04

【米尔MYS-8MMX】米尔MYS-8MMQ6-8E2D-180-C应用一——计算圆周率π

<div class='showpostmsg'> 本帖最后由 tobot 于 2021-8-11 10:33 编辑

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">我们知道，圆周率</font>&pi;是一个无限不循环小数（也称为无理数），有时候可以使用计算&pi;值的时间来度量<font face="Calibri">cpu</font><font face="宋体">的好坏，看到网友</font><font face="Calibri">@MianJi</font><font face="宋体">喜欢用本次测评板和树莓派</font><font face="Calibri">3B</font><font face="宋体">做比较，我也来凑个热闹吧，手边有现成的树莓派</font><font face="Calibri">3B</font><font face="宋体">、</font><font face="Calibri">4B</font><font face="宋体">，不过都是</font><font face="Calibri">1G</font><font face="宋体">版的，性能上可能不低于</font><font face="Calibri">i.MX8M Mini</font><font face="宋体">，但内存的差异可能让它们在测评结果上会吃一点亏。</font></span></span></span></span></p>

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">在</font></span></span><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">米尔</font></span></span><span style="font-size:10.5000pt"><span style="font-family:宋体">MYS-8MMQ6-8E2D-180-C<font face="宋体">的原生态系统中，只有</font><font face="Calibri">python2</font><font face="宋体">和</font><font face="Calibri">python3</font><font face="宋体">，连最常用的</font><font face="Calibri">gcc</font><font face="宋体">都没找到，</font><font face="Calibri">java</font><font face="宋体">、</font><font face="Calibri">ruby</font><font face="宋体">、</font><font face="Calibri">go</font><font face="宋体">、</font><font face="Calibri">php</font><font face="宋体">什么都没有。。。，不过</font><font face="Calibri">shell</font><font face="宋体">里面居然有</font><font face="Calibri">bc</font><font face="宋体">，也可以试试，那就主要用</font><font face="Calibri">python</font><font face="宋体">比较吧。</font></span></span></span></span></p>

<p style="text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">下面介绍几种计算方法：</font></span></span></span></span></p>

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体">1<font face="宋体">、反三角函数的幂级数展开</font></span></span></span></span></p>

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">我们知道三角函数中对于</font>&pi;是一个非常特殊的值，比如<font face="Calibri">sin(</font><font face="宋体">&pi;</font><font face="Calibri">/2)=1</font><font face="宋体">，</font><font face="Calibri">tan(</font><font face="宋体">&pi;</font><font face="Calibri">/4)=1</font><font face="宋体">等，因此完全可以用反正弦或者反正切的幂级数展开计算</font><font face="Calibri">pi</font><font face="宋体">值。</font></span></span></span></span></p>

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">例如</font></span></span></span></span><br />
&nbsp; &nbsp;&nbsp;</p>

<p style="text-indent:21.0000pt; text-align:justify"></p>

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">反余切公式中，令</font>x=1<font face="宋体">，则</font><font face="Calibri">arctan(x)=</font><font face="宋体">&pi;</font><font face="Calibri">/4</font><font face="宋体">，展开并整理</font></span></span></span></span></p>

<p style="text-indent:21.0000pt; text-align:justify"></p>

<table class="Table" style="border-collapse:collapse; margin-left:6px; border:none; font-family:&quot;Times New Roman&quot;; font-size:13px">
        <tbody>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">编译工具</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">命令</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">循环次数</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">树莓派</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">3</span></span></span></span><span class="15" style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">B</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">树莓派</span></span></span></span><span class="15" style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">4</span></span></span></span><span class="15" style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">B(1G)</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">MYS-8MMX</span></span></span></span></span></span></span></span></p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">shell</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time bash trigonometric.sh</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">10000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">bc</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time bc -q trigonometric.bc</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">1</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">0000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">python2</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time python</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">2</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">&nbsp;trigonometric.py</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">5</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">0000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">python3</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time python</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">3</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">&nbsp;trigonometric.py</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">5</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">0000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
        </tbody>
</table>

<p style="text-align:justify">&nbsp;</p>

<ol start="2">
        <li style="text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">网格法</font></span></span></span></span></li>
</ol>

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">圆内的点到圆心的距离都小于圆的半径，那么把</font>1/4<font face="宋体">个圆分成</font><font face="Calibri">n*n</font><font face="宋体">个格子，数一下有多少格子落在圆内，再除以格子总数，乘以</font><font face="Calibri">4</font><font face="宋体">，就能计算出&pi;值了。</font></span></span></span></span></p>

<table class="Table" style="border-collapse:collapse; margin-left:6px; border:none; font-family:&quot;Times New Roman&quot;; font-size:13px">
        <tbody>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">编译工具</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">命令</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">循环次数</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">树莓派</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">3</span></span></span></span><span class="15" style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">B</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">树莓派</span></span></span></span><span class="15" style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">4</span></span></span></span><span class="15" style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">B(1G)</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">MYS-8MMX</span></span></span></span></span></span></span></span></p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">shell</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time bash grid.sh</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">10000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">bc</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time bc -q grid.bc</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">10000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">python2</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time python</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">2</span></span></span></span>&nbsp;<span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">grid</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">.py</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">5</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">0000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">python3</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time python</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">3</span></span></span></span>&nbsp;<span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">grid</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">.py</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">5</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">0000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
        </tbody>
</table>

<p style="text-align:justify">&nbsp;</p>

<p style="text-align:justify">&nbsp;</p>

<ol start="3">
        <li style="text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">倍乘法（</font>multipli<font face="宋体">）</font></span></span></span></span></li>
</ol>

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">圆周率可以用</font></span></span></span></span><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">计算。</font></span></span></span></span></p>

<table class="Table" style="border-collapse:collapse; margin-left:6px; border:none; font-family:&quot;Times New Roman&quot;; font-size:13px">
        <tbody>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">编译工具</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">命令</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">循环次数</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">树莓派3B</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">树莓派</span></span></span></span><span class="15" style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">4</span></span></span></span><span class="15" style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">B(1G)</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">MYS-8MMX</span></span></span></span></span></span></span></span></p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">shell</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time bash multipli.sh</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">10000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">bc</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time bc -q multipli.bc</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">5000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">python2</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time python</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">2</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">&nbsp;multipli.py</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">50000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">python3</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time python</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">3</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">&nbsp;multipli.py</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">50000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
        </tbody>
</table>

<p style="text-align:justify">&nbsp;</p>

<ol start="4">
        <li style="text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">蒙特卡罗方法（随机数法）</font></span></span></span></span></li>
</ol>

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">用通过概率实验所求的结果来估计参数，这样的方法称为</font></span></span><a href="https://baike.baidu.com/item/%E8%92%99%E7%89%B9%E5%8D%A1%E7%BD%97"><span style="font-size:10.5000pt"><span style="font-family:Calibri"><font face="宋体">蒙特卡罗</font></span></span></a><span style="font-size:10.5000pt"><span style="font-family:Calibri"><font face="宋体">方法（</font>Monte Carlo method<font face="宋体">）。</font></span></span></span></span></p>

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">可以随机在正方形内取一点，在其内切圆内的概率为</font>&pi;<font face="Calibri">/4</font><font face="宋体">。我们可以据此计算出圆周率。</font></span></span></span></span></p>

<table class="Table" style="border-collapse:collapse; margin-left:6px; border:none; font-family:&quot;Times New Roman&quot;; font-size:13px">
        <tbody>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">编译工具</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">命令</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">循环次数</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">树莓派3B</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">树莓派</span></span></span></span><span class="15" style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">4</span></span></span></span><span class="15" style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">B(1G)</span></span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:1px solid #000000; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="vertical-align:middle"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">MYS-8MMX</span></span></span></span></span></span></span></span></p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">shell</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time bash rand.sh</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">1000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">python2</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time python</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">2</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">&nbsp;rand.py</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">50000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
                <tr>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:1px solid #000000" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">python3</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">time python</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">3</span></span></span></span><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">&nbsp;rand.py</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"><span style="font-size:10.5pt"><span style="text-justify:inter-ideograph"><span style="font-family:Calibri"><span style="font-size:11.0000pt"><span style="font-family:宋体"><span style="color:#000000"><span style="font-style:normal">50000000</span></span></span></span></span></span></span></p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p align="justify" style="text-align:justify"> &nbsp;</p>
                        </td>
                        <td style="border-bottom:1px solid #000000; padding:1px 1px 0px 1px; border-top:none; border-right:1px solid #000000; border-left:none" valign="center">
                        <p style="text-align:justify"> &nbsp;</p>
                        </td>
                </tr>
        </tbody>
</table>

<p style="text-align:justify">&nbsp;</p>

<p style="text-indent:21.0000pt; text-align:justify"><span style="font-size:10.5pt"><span style="font-family:Calibri"><span style="font-size:10.5000pt"><span style="font-family:宋体"><font face="宋体">从上述的结果来看，</font>NXP<font face="宋体">的</font><font face="Calibri">i.MX8M Mini</font><font face="宋体">的性能略低于博通</font><font face="Calibri">BCM2711</font><font face="宋体">，高于博通</font><font face="Calibri">BCM2837</font><font face="宋体">。</font></span></span></span></span></p>

<p style="text-align:justify">&nbsp; &nbsp; &nbsp; &nbsp; 为什么会内存溢出？</p>
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tobot 发表于 2021-8-10 22:06

<p>源代码，共享之！</p>

<p></p>

freebsder 发表于 2021-8-11 16:25

<p>这个有点意思，看来数值计算imx8还是偏弱了点。毕竟晚出来几年。</p>

hqli126 发表于 2021-8-15 08:13

i.MX8M Mini的性能略低于博通BCM2711，高于博通BCM2837

查看完整版本: 【米尔MYS-8MMX】米尔MYS-8MMQ6-8E2D-180-C应用一——计算圆周率π