/phpexcel/Documentation/API/__filesource/fsource_PHPExcel__PHPExcelSharedJAMAexamplespolyfit.php.html
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- <b>Packages:</b><br />
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- <a href="../li_com-tecnick-tcpdf.html">com-tecnick-tcpdf</a><br />
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- <h1 align="center">Source for file polyfit.php</h1>
- <p>Documentation is available at <a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html">polyfit.php</a></p>
- <div class="src-code">
- <ol><li><div class="src-line"><a name="a1"></a><span class="src-php"><?php</span></div></li>
- <li><div class="src-line"><a name="a2"></a><span class="src-inc">require_once </span><span class="src-str">"../Matrix.php"</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a3"></a><span class="src-comm">/*</span></div></li>
- <li><div class="src-line"><a name="a4"></a><span class="src-comm">* @package JAMA</span></div></li>
- <li><div class="src-line"><a name="a5"></a><span class="src-comm">* @author Michael Bommarito</span></div></li>
- <li><div class="src-line"><a name="a6"></a><span class="src-comm">* @author Paul Meagher</span></div></li>
- <li><div class="src-line"><a name="a7"></a><span class="src-comm">* @version 0.1</span></div></li>
- <li><div class="src-line"><a name="a8"></a><span class="src-comm">*</span></div></li>
- <li><div class="src-line"><a name="a9"></a><span class="src-comm">* Function to fit an order n polynomial function through</span></div></li>
- <li><div class="src-line"><a name="a10"></a><span class="src-comm">* a series of x-y data points using least squares.</span></div></li>
- <li><div class="src-line"><a name="a11"></a><span class="src-comm">*</span></div></li>
- <li><div class="src-line"><a name="a12"></a><span class="src-comm">* @param $X array x values</span></div></li>
- <li><div class="src-line"><a name="a13"></a><span class="src-comm">* @param $Y array y values</span></div></li>
- <li><div class="src-line"><a name="a14"></a><span class="src-comm">* @param $n int order of polynomial to be used for fitting</span></div></li>
- <li><div class="src-line"><a name="a15"></a><span class="src-comm">* @returns array $coeffs of polynomial coefficients</span></div></li>
- <li><div class="src-line"><a name="a16"></a><span class="src-comm">* Pre-Conditions: the system is not underdetermined: sizeof($X) > $n+1</span></div></li>
- <li><div class="src-line"><a name="a17"></a><span class="src-comm">*/</span></div></li>
- <li><div class="src-line"><a name="a18"></a><span class="src-key">function </span><a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html#functionpolyfit">polyfit</a><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">, </span><span class="src-var">$Y</span><span class="src-sym">, </span><span class="src-var">$n</span><span class="src-sym">) </span><span class="src-sym">{</span></div></li>
- <li><div class="src-line"><a name="a19"></a> <span class="src-key">for </span><span class="src-sym">(</span><span class="src-var">$i </span>= <span class="src-num">0</span><span class="src-sym">; </span><span class="src-var">$i </span>< <a href="http://www.php.net/sizeof">sizeof</a><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">)</span><span class="src-sym">; </span>++<span class="src-var">$i</span><span class="src-sym">)</span></div></li>
- <li><div class="src-line"><a name="a20"></a> <span class="src-key">for </span><span class="src-sym">(</span><span class="src-var">$j </span>= <span class="src-num">0</span><span class="src-sym">; </span><span class="src-var">$j </span><= <span class="src-var">$n</span><span class="src-sym">; </span>++<span class="src-var">$j</span><span class="src-sym">)</span></div></li>
- <li><div class="src-line"><a name="a21"></a> <span class="src-var">$A</span><span class="src-sym">[</span><span class="src-var">$i</span><span class="src-sym">]</span><span class="src-sym">[</span><span class="src-var">$j</span><span class="src-sym">] </span>= <a href="http://www.php.net/pow">pow</a><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">[</span><span class="src-var">$i</span><span class="src-sym">]</span><span class="src-sym">, </span><span class="src-var">$j</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a22"></a> <span class="src-key">for </span><span class="src-sym">(</span><span class="src-var">$i</span>=<span class="src-num">0</span><span class="src-sym">; </span><span class="src-var">$i </span>< <a href="http://www.php.net/sizeof">sizeof</a><span class="src-sym">(</span><span class="src-var">$Y</span><span class="src-sym">)</span><span class="src-sym">; </span>++<span class="src-var">$i</span><span class="src-sym">)</span></div></li>
- <li><div class="src-line"><a name="a23"></a> <span class="src-var">$B</span><span class="src-sym">[</span><span class="src-var">$i</span><span class="src-sym">] </span>= <span class="src-key">array</span><span class="src-sym">(</span><span class="src-var">$Y</span><span class="src-sym">[</span><span class="src-var">$i</span><span class="src-sym">]</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a24"></a> <span class="src-var">$matrixA </span>= <span class="src-key">new </span><span class="src-id"><a href="../JAMA/Matrix.html">Matrix</a></span><span class="src-sym">(</span><span class="src-var">$A</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a25"></a> <span class="src-var">$matrixB </span>= <span class="src-key">new </span><span class="src-id"><a href="../JAMA/Matrix.html">Matrix</a></span><span class="src-sym">(</span><span class="src-var">$B</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a26"></a> <span class="src-var">$C </span>= <span class="src-var">$matrixA</span><span class="src-sym">-></span><span class="src-id">solve</span><span class="src-sym">(</span><span class="src-var">$matrixB</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a27"></a> <span class="src-key">return </span><span class="src-var">$C</span><span class="src-sym">-></span><span class="src-id">getMatrix</span><span class="src-sym">(</span><span class="src-num">0</span><span class="src-sym">, </span><span class="src-var">$n</span><span class="src-sym">, </span><span class="src-num">0</span><span class="src-sym">, </span><span class="src-num">1</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a28"></a><span class="src-sym">}</span></div></li>
- <li><div class="src-line"><a name="a29"></a> </div></li>
- <li><div class="src-line"><a name="a30"></a><span class="src-key">function </span><a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html#functionprintpoly">printpoly</a><span class="src-sym">( </span><span class="src-var">$C </span>= <span class="src-id">null </span><span class="src-sym">) </span><span class="src-sym">{</span></div></li>
- <li><div class="src-line"><a name="a31"></a> <span class="src-key">for</span><span class="src-sym">(</span><span class="src-var">$i </span>= <span class="src-var">$C</span><span class="src-sym">-></span><span class="src-id">m </span>- <span class="src-num">1</span><span class="src-sym">; </span><span class="src-var">$i </span>>= <span class="src-num">0</span><span class="src-sym">; </span>--<span class="src-var">$i</span><span class="src-sym">) </span><span class="src-sym">{</span></div></li>
- <li><div class="src-line"><a name="a32"></a> <span class="src-var">$r </span>= <span class="src-var">$C</span><span class="src-sym">-></span><span class="src-id">get</span><span class="src-sym">(</span><span class="src-var">$i</span><span class="src-sym">, </span><span class="src-num">0</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a33"></a> <span class="src-key">if </span><span class="src-sym">( </span><a href="http://www.php.net/abs">abs</a><span class="src-sym">(</span><span class="src-var">$r</span><span class="src-sym">) </span><= <a href="http://www.php.net/pow">pow</a><span class="src-sym">(</span><span class="src-num">10</span><span class="src-sym">, </span>-<span class="src-num">9</span><span class="src-sym">) )</span></div></li>
- <li><div class="src-line"><a name="a34"></a> <span class="src-var">$r </span>= <span class="src-num">0</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a35"></a> <span class="src-key">if </span><span class="src-sym">(</span><span class="src-var">$i </span>== <span class="src-var">$C</span><span class="src-sym">-></span><span class="src-id">m </span>- <span class="src-num">1</span><span class="src-sym">)</span></div></li>
- <li><div class="src-line"><a name="a36"></a> echo <span class="src-var">$r </span>. <span class="src-str">"</span><span class="src-str">x<sup><span class="src-var">$i</span></sup></span><span class="src-str">"</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a37"></a> <span class="src-key">else </span><span class="src-key">if </span><span class="src-sym">(</span><span class="src-var">$i </span>< <span class="src-var">$C</span><span class="src-sym">-></span><span class="src-id">m </span>- <span class="src-num">1</span><span class="src-sym">)</span></div></li>
- <li><div class="src-line"><a name="a38"></a> echo <span class="src-str">" + " </span>. <span class="src-var">$r </span>. <span class="src-str">"</span><span class="src-str">x<sup><span class="src-var">$i</span></sup></span><span class="src-str">"</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a39"></a> <span class="src-key">else </span><span class="src-key">if </span><span class="src-sym">(</span><span class="src-var">$i </span>== <span class="src-num">0</span><span class="src-sym">)</span></div></li>
- <li><div class="src-line"><a name="a40"></a> echo <span class="src-str">" + " </span>. <span class="src-var">$r</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a41"></a> <span class="src-sym">}</span></div></li>
- <li><div class="src-line"><a name="a42"></a><span class="src-sym">}</span></div></li>
- <li><div class="src-line"><a name="a43"></a> </div></li>
- <li><div class="src-line"><a name="a44"></a><span class="src-var">$X </span>= <span class="src-key">array</span><span class="src-sym">(</span><span class="src-num">0</span><span class="src-sym">,</span><span class="src-num">1</span><span class="src-sym">,</span><span class="src-num">2</span><span class="src-sym">,</span><span class="src-num">3</span><span class="src-sym">,</span><span class="src-num">4</span><span class="src-sym">,</span><span class="src-num">5</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a45"></a><span class="src-var">$Y </span>= <span class="src-key">array</span><span class="src-sym">(</span><span class="src-num">4</span><span class="src-sym">,</span><span class="src-num">3</span><span class="src-sym">,</span><span class="src-num">12</span><span class="src-sym">,</span><span class="src-num">67</span><span class="src-sym">,</span><span class="src-num">228</span><span class="src-sym">, </span><span class="src-num">579</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a46"></a><span class="src-var">$points </span>= <span class="src-key">new </span><span class="src-id"><a href="../JAMA/Matrix.html">Matrix</a></span><span class="src-sym">(</span><span class="src-key">array</span><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">, </span><span class="src-var">$Y</span><span class="src-sym">))</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a47"></a><span class="src-var">$points</span><span class="src-sym">-></span><span class="src-id">toHTML</span><span class="src-sym">(</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a48"></a><a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html#functionprintpoly">printpoly</a><span class="src-sym">(</span><a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html#functionpolyfit">polyfit</a><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">, </span><span class="src-var">$Y</span><span class="src-sym">, </span><span class="src-num">4</span><span class="src-sym">))</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a49"></a> </div></li>
- <li><div class="src-line"><a name="a50"></a>echo <span class="src-str">'<hr />'</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a51"></a> </div></li>
- <li><div class="src-line"><a name="a52"></a><span class="src-var">$X </span>= <span class="src-key">array</span><span class="src-sym">(</span><span class="src-num">0</span><span class="src-sym">,</span><span class="src-num">1</span><span class="src-sym">,</span><span class="src-num">2</span><span class="src-sym">,</span><span class="src-num">3</span><span class="src-sym">,</span><span class="src-num">4</span><span class="src-sym">,</span><span class="src-num">5</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a53"></a><span class="src-var">$Y </span>= <span class="src-key">array</span><span class="src-sym">(</span><span class="src-num">1</span><span class="src-sym">,</span><span class="src-num">2</span><span class="src-sym">,</span><span class="src-num">5</span><span class="src-sym">,</span><span class="src-num">10</span><span class="src-sym">,</span><span class="src-num">17</span><span class="src-sym">, </span><span class="src-num">26</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a54"></a><span class="src-var">$points </span>= <span class="src-key">new </span><span class="src-id"><a href="../JAMA/Matrix.html">Matrix</a></span><span class="src-sym">(</span><span class="src-key">array</span><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">, </span><span class="src-var">$Y</span><span class="src-sym">))</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a55"></a><span class="src-var">$points</span><span class="src-sym">-></span><span class="src-id">toHTML</span><span class="src-sym">(</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a56"></a><a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html#functionprintpoly">printpoly</a><span class="src-sym">(</span><a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html#functionpolyfit">polyfit</a><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">, </span><span class="src-var">$Y</span><span class="src-sym">, </span><span class="src-num">2</span><span class="src-sym">))</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a57"></a> </div></li>
- <li><div class="src-line"><a name="a58"></a>echo <span class="src-str">'<hr />'</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a59"></a> </div></li>
- <li><div class="src-line"><a name="a60"></a><span class="src-var">$X </span>= <span class="src-key">array</span><span class="src-sym">(</span><span class="src-num">0</span><span class="src-sym">,</span><span class="src-num">1</span><span class="src-sym">,</span><span class="src-num">2</span><span class="src-sym">,</span><span class="src-num">3</span><span class="src-sym">,</span><span class="src-num">4</span><span class="src-sym">,</span><span class="src-num">5</span><span class="src-sym">,</span><span class="src-num">6</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a61"></a><span class="src-var">$Y </span>= <span class="src-key">array</span><span class="src-sym">(</span>-<span class="src-num">90</span><span class="src-sym">,</span>-<span class="src-num">104</span><span class="src-sym">,</span>-<span class="src-num">178</span><span class="src-sym">,</span>-<span class="src-num">252</span><span class="src-sym">,</span>-<span class="src-num">26</span><span class="src-sym">, </span><span class="src-num">1160</span><span class="src-sym">, </span><span class="src-num">4446</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a62"></a><span class="src-var">$points </span>= <span class="src-key">new </span><span class="src-id"><a href="../JAMA/Matrix.html">Matrix</a></span><span class="src-sym">(</span><span class="src-key">array</span><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">, </span><span class="src-var">$Y</span><span class="src-sym">))</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a63"></a><span class="src-var">$points</span><span class="src-sym">-></span><span class="src-id">toHTML</span><span class="src-sym">(</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a64"></a><a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html#functionprintpoly">printpoly</a><span class="src-sym">(</span><a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html#functionpolyfit">polyfit</a><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">, </span><span class="src-var">$Y</span><span class="src-sym">, </span><span class="src-num">5</span><span class="src-sym">))</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a65"></a> </div></li>
- <li><div class="src-line"><a name="a66"></a>echo <span class="src-str">'<hr />'</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a67"></a> </div></li>
- <li><div class="src-line"><a name="a68"></a><span class="src-var">$X </span>= <span class="src-key">array</span><span class="src-sym">(</span><span class="src-num">0</span><span class="src-sym">,</span><span class="src-num">1</span><span class="src-sym">,</span><span class="src-num">2</span><span class="src-sym">,</span><span class="src-num">3</span><span class="src-sym">,</span><span class="src-num">4</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a69"></a><span class="src-var">$Y </span>= <span class="src-key">array</span><span class="src-sym">(</span><a href="http://www.php.net/mt_rand">mt_rand</a><span class="src-sym">(</span><span class="src-num">0</span><span class="src-sym">, </span><span class="src-num">10</span><span class="src-sym">)</span><span class="src-sym">, </span><a href="http://www.php.net/mt_rand">mt_rand</a><span class="src-sym">(</span><span class="src-num">40</span><span class="src-sym">, </span><span class="src-num">80</span><span class="src-sym">)</span><span class="src-sym">, </span><a href="http://www.php.net/mt_rand">mt_rand</a><span class="src-sym">(</span><span class="src-num">240</span><span class="src-sym">, </span><span class="src-num">400</span><span class="src-sym">)</span><span class="src-sym">, </span><a href="http://www.php.net/mt_rand">mt_rand</a><span class="src-sym">(</span><span class="src-num">1800</span><span class="src-sym">, </span><span class="src-num">2215</span><span class="src-sym">)</span><span class="src-sym">, </span><a href="http://www.php.net/mt_rand">mt_rand</a><span class="src-sym">(</span><span class="src-num">8000</span><span class="src-sym">, </span><span class="src-num">9000</span><span class="src-sym">))</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a70"></a><span class="src-var">$points </span>= <span class="src-key">new </span><span class="src-id"><a href="../JAMA/Matrix.html">Matrix</a></span><span class="src-sym">(</span><span class="src-key">array</span><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">, </span><span class="src-var">$Y</span><span class="src-sym">))</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a71"></a><span class="src-var">$points</span><span class="src-sym">-></span><span class="src-id">toHTML</span><span class="src-sym">(</span><span class="src-sym">)</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a72"></a><a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html#functionprintpoly">printpoly</a><span class="src-sym">(</span><a href="../PHPExcel/_PHPExcel---Shared---JAMA---examples---polyfit.php.html#functionpolyfit">polyfit</a><span class="src-sym">(</span><span class="src-var">$X</span><span class="src-sym">, </span><span class="src-var">$Y</span><span class="src-sym">, </span><span class="src-num">3</span><span class="src-sym">))</span><span class="src-sym">;</span></div></li>
- <li><div class="src-line"><a name="a73"></a><span class="src-php">?></span></div></li>
- </ol>
- </div>
- <div class="credit">
- <hr />
- Documentation generated on Thu, 26 Aug 2010 17:44:02 +0200 by <a href="http://www.phpdoc.org">phpDocumentor 1.4.3</a>
- </div>
- </td></tr></table>
- </td>
- </tr>
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