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<p>find a local zero of a 1 parameter function
<a href="../../d7/d6a/class_o_n___local_zero1.html#details">More...</a></p>
<p><code>#include &lt;<a class="el" href="../../d3/da7/opennurbs__optimize_8h_source.html">opennurbs_optimize.h</a>&gt;</code></p>
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<tr class="memitem:a263e5eb2cf1dac012fe08aa027831bff"><td class="memItemLeft" align="right" valign="top">virtual bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d6a/class_o_n___local_zero1.html#a263e5eb2cf1dac012fe08aa027831bff">Evaluate</a> (double, double *, double *, int)=0</td></tr>
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<tr class="memitem:a525e693f275e4229bdc42574ccd673a5"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d6a/class_o_n___local_zero1.html#a525e693f275e4229bdc42574ccd673a5">m_f_tolerance</a></td></tr>
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<tr class="memitem:a0c79c99c1ca5b7e9689ff0a69f1fc56b"><td class="memItemLeft" align="right" valign="top">const double *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d6a/class_o_n___local_zero1.html#a0c79c99c1ca5b7e9689ff0a69f1fc56b">m_k</a></td></tr>
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<tr class="memitem:ad34e2fde582baf1383b0f9cea310cadd"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d6a/class_o_n___local_zero1.html#ad34e2fde582baf1383b0f9cea310cadd">m_k_count</a></td></tr>
<tr class="memdesc:ad34e2fde582baf1383b0f9cea310cadd"><td class="mdescLeft">&#160;</td><td class="mdescRight">length of m_k[] array ( 0 or &gt;= 2 ). <a href="#ad34e2fde582baf1383b0f9cea310cadd">More...</a><br /></td></tr>
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<tr class="memitem:a1f6093a1868e1e245ecc234b101b160d"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d6a/class_o_n___local_zero1.html#a1f6093a1868e1e245ecc234b101b160d">m_t0</a></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>find a local zero of a 1 parameter function </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a12bd45df187862dab21ddc41d4bd76ab">&#9670;&nbsp;</a></span>ON_LocalZero1()</h2>
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<td class="memname">ON_LocalZero1::ON_LocalZero1 </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a0195c001b43960f3a13ba10815c38c7e">&#9670;&nbsp;</a></span>~ON_LocalZero1()</h2>
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<td class="memname">virtual ON_LocalZero1::~ON_LocalZero1 </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a263e5eb2cf1dac012fe08aa027831bff">&#9670;&nbsp;</a></span>Evaluate()</h2>
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<td class="memname">virtual bool ON_LocalZero1::Evaluate </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname">, </td>
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<td class="paramkey"></td>
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<td class="paramtype">double *&#160;</td>
<td class="paramname">, </td>
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<td class="paramtype">double *&#160;</td>
<td class="paramname">, </td>
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<td class="paramtype">int&#160;</td>
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<td>)</td>
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<span class="mlabels"><span class="mlabel">pure virtual</span></span> </td>
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<h2 class="memtitle"><span class="permalink"><a href="#af9563714d868e6d60d6dae199691a6af">&#9670;&nbsp;</a></span>FindZero()</h2>
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<td class="memname">bool ON_LocalZero1::FindZero </td>
<td>(</td>
<td class="paramtype">double *&#160;</td>
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<p>Searches domain between m_t0 and m_t1 domain for a root. Returns true if a root is found. </p>
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<h2 class="groupheader">Member Data Documentation</h2>
<a id="a525e693f275e4229bdc42574ccd673a5"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a525e693f275e4229bdc42574ccd673a5">&#9670;&nbsp;</a></span>m_f_tolerance</h2>
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<td class="memname">double ON_LocalZero1::m_f_tolerance</td>
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<p>(&gt;= 0.0) If this value is &gt; 0.0, then the search is terminated when a parameter "t" is found where |f(t)| &lt;= m_f_tolerance. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a0c79c99c1ca5b7e9689ff0a69f1fc56b">&#9670;&nbsp;</a></span>m_k</h2>
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<td class="memname">const double* ON_LocalZero1::m_k</td>
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<p>m_k[] is either nullptr or monotone increasing array of length m_k_count.</p>
<p>This zero finder works on continuous piecewise c2 functions. If the function is c2 on the interior of the domain </p><pre class="fragment"> [min(t0,t1), max(m_t0,m_t1)]
</pre><p>then there is no need to initialize m_k[]. If the function is not c2 on the domain in question, then the m_k[m_count] array is a list of parameters that define the c2 domains. When m_k[] is not nullptr, m_count must be &gt;= 2 and m_k[] must be monotone increasing and satisfy </p><pre class="fragment"> m_k[0] &lt;= min(m_t0,m_t1)
and
m_k[m_count-1] &gt;= max(m_t0,m_t1).
</pre><p>Duplicate values in m_k[] are permitted so that NURBS knot vector arrays may be used directly. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#ad34e2fde582baf1383b0f9cea310cadd">&#9670;&nbsp;</a></span>m_k_count</h2>
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<td class="memname">int ON_LocalZero1::m_k_count</td>
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<p>length of m_k[] array ( 0 or &gt;= 2 ). </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a1f6093a1868e1e245ecc234b101b160d">&#9670;&nbsp;</a></span>m_t0</h2>
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<td class="memname">double ON_LocalZero1::m_t0</td>
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<p>m_t0 and m_t1 specify the domain to search and must satisfy </p><pre class="fragment"> 1) m_t0 != m_t1
2) f(m_t0) and f(m_t1) must have different signs
or one must have absolute value &lt;= m_f_tolerance </pre>
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<h2 class="memtitle"><span class="permalink"><a href="#a10c3a20ceb868332f8f2b9b0d833acae">&#9670;&nbsp;</a></span>m_t1</h2>
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<td class="memname">double ON_LocalZero1::m_t1</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a686d344c9784fd5aed87bc493990c296">&#9670;&nbsp;</a></span>m_t_tolerance</h2>
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<td class="memname">double ON_LocalZero1::m_t_tolerance</td>
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<p>(&gt;= 0.0) If this value is &gt; 0.0, then the search is terminated when a parameter the root is bracketed in a domain with width &lt;= m_t_tolerance. </p>
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