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<a href="chebyshev_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">/* Copyright (c) 2008-2022 the MRtrix3 contributors.</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment"> *</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment"> * This Source Code Form is subject to the terms of the Mozilla Public</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment"> * License, v. 2.0. If a copy of the MPL was not distributed with this</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment"> * file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment"> *</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment"> * Covered Software is provided under this License on an "as is"</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment"> * basis, without warranty of any kind, either expressed, implied, or</span></div>
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<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment"> * Covered Software is free of defects, merchantable, fit for a</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment"> * particular purpose or non-infringing.</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#ifndef __math_chebyshev_h__</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#define __math_chebyshev_h__</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include "<a class="code" href="math_8h.html">math/math.h</a>"</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespace_m_r.html">MR</a></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span>{</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">namespace </span>Math</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> {</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="namespace_m_r_1_1_math_1_1_chebyshev.html"> 26</a></span> <span class="keyword">namespace </span>Chebyshev</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> {</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"><a class="line" href="namespace_m_r_1_1_math_1_1_chebyshev.html#a1a35b12f5587b6dbe60b22a7e86e1498"> 29</a></span> <span class="keyword">template</span> <<span class="keyword">typename</span> T> <span class="keyword">inline</span> T <a class="code hl_function" href="namespace_m_r_1_1_math_1_1_chebyshev.html#a1a35b12f5587b6dbe60b22a7e86e1498">eval</a> (<span class="keyword">const</span> <span class="keywordtype">double</span>* coef, <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_function" href="namespace_m_r_1_1_stride.html#a041be5054cd390952e6020814c2ce0ef">order</a>, <span class="keyword">const</span> T lower, <span class="keyword">const</span> T upper, <span class="keyword">const</span> T x)</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> T y = (2.0*x - lower - upper) / (upper - lower);</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> T d = 0.0, dd = 0.0;</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = <a class="code hl_function" href="namespace_m_r_1_1_stride.html#a041be5054cd390952e6020814c2ce0ef">order</a>; i >= 1; i--) {</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> T temp = d;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> d = 2.0*y*d - dd + coef[i];</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> dd = temp;</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> }</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">return</span> (y*d - dd + 0.5 * coef[0]);</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> }</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> }</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> }</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span>}</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="ttc" id="amath_8h_html"><div class="ttname"><a href="math_8h.html">math.h</a></div></div>
<div class="ttc" id="anamespace_m_r_1_1_math_1_1_chebyshev_html_a1a35b12f5587b6dbe60b22a7e86e1498"><div class="ttname"><a href="namespace_m_r_1_1_math_1_1_chebyshev.html#a1a35b12f5587b6dbe60b22a7e86e1498">MR::Math::Chebyshev::eval</a></div><div class="ttdeci">T eval(const double *coef, const int order, const T lower, const T upper, const T x)</div><div class="ttdef"><b>Definition:</b> <a href="chebyshev_8h_source.html#l00029">chebyshev.h:29</a></div></div>
<div class="ttc" id="anamespace_m_r_1_1_stride_html_a041be5054cd390952e6020814c2ce0ef"><div class="ttname"><a href="namespace_m_r_1_1_stride.html#a041be5054cd390952e6020814c2ce0ef">MR::Stride::order</a></div><div class="ttdeci">vector< size_t > order(const HeaderType &header, size_t from_axis=0, size_t to_axis=std::numeric_limits< size_t >::max())</div><div class="ttdoc">sort range of axes with respect to their absolute stride.</div><div class="ttdef"><b>Definition:</b> <a href="stride_8h_source.html#l00159">stride.h:159</a></div></div>
<div class="ttc" id="anamespace_m_r_html"><div class="ttname"><a href="namespace_m_r.html">MR</a></div><div class="ttdef"><b>Definition:</b> <a href="core_2adapter_2base_8h_source.html#l00023">base.h:24</a></div></div>
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