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<a href="UMath_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">/*</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">* utilite is a cross-platform library with</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">* useful utilities for fast and small developing.</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">* Copyright (C) 2010 Mathieu Labbe</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">*</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">* utilite is free library: you can redistribute it and/or modify</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">* it under the terms of the GNU Lesser General Public License as published by</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">* the Free Software Foundation, either version 3 of the License, or</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">* (at your option) any later version.</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">*</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">* utilite is distributed in the hope that it will be useful,</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">* but WITHOUT ANY WARRANTY; without even the implied warranty of</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="comment">* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment">* GNU Lesser General Public License for more details.</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="comment">*</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="comment">* You should have received a copy of the GNU Lesser General Public License</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment">* along with this program. If not, see &lt;http://www.gnu.org/licenses/&gt;.</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment">*/</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">#ifndef UMATH_H</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#define UMATH_H</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &lt;list&gt;</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include &lt;vector&gt;</span></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><span class="preprocessor">#if _MSC_VER</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="preprocessor"> #undef min</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor"> #undef max</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00040" data-start="{" data-end="}">
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309"> 40</a></span><span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309">uIsNan</a>(<span class="keyword">const</span> T &amp; value)</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><span class="preprocessor">#if _MSC_VER</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordflow">return</span> _isnan(value) != 0;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="preprocessor">#else</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">return</span> std::isnan(value);</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>}</div>
</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00053" data-start="{" data-end="}">
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"><a class="line" href="UMath_8h.html#abc9c1a676bf1b33a7d2bc0452a04fed3"> 53</a></span><span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="UMath_8h.html#abc9c1a676bf1b33a7d2bc0452a04fed3">uIsFinite</a>(<span class="keyword">const</span> T &amp; value)</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span>{</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span><span class="preprocessor">#if _MSC_VER</span></div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">return</span> _finite(value) != 0;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span><span class="preprocessor">#else</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">return</span> std::isfinite(value);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>}</div>
</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00067" data-start="{" data-end="}">
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"><a class="line" href="UMath_8h.html#ad653f26bbf08ce113b5a69a49bb4e41d"> 67</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#ad653f26bbf08ce113b5a69a49bb4e41d">uMin3</a>( <span class="keyword">const</span> T&amp; a, <span class="keyword">const</span> T&amp; b, <span class="keyword">const</span> T&amp; c)</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span>{</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordtype">float</span> m=a&lt;b?a:b;</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">return</span> m&lt;c?m:c;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>}</div>
</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00078" data-start="{" data-end="}">
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"><a class="line" href="UMath_8h.html#a601a7e18acb1512a60cd8ef248271c85"> 78</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a601a7e18acb1512a60cd8ef248271c85">uMax3</a>( <span class="keyword">const</span> T&amp; a, <span class="keyword">const</span> T&amp; b, <span class="keyword">const</span> T&amp; c)</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>{</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordtype">float</span> m=a&gt;b?a:b;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">return</span> m&gt;c?m:c;</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span>}</div>
</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00092" data-start="{" data-end="}">
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"><a class="line" href="UMath_8h.html#a1362990d0ce7f09ef735292cc480fa23"> 92</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a1362990d0ce7f09ef735292cc480fa23">uMax</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> &amp; index)</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span>{</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> T max = 0;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> index = 0;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keywordflow">if</span>(!v || size == 0)</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> {</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordflow">return</span> max;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> }</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> max = v[0];</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=1; i&lt;size; ++i)</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> {</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">if</span>(<a class="code hl_function" href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309">uIsNan</a>(max) || (max &lt; v[i] &amp;&amp; !<a class="code hl_function" href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309">uIsNan</a>(v[i])))</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> {</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> max = v[i];</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> index = i;</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> }</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> }</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <span class="keywordflow">return</span> max;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span>}</div>
</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00120" data-start="{" data-end="}">
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"><a class="line" href="UMath_8h.html#a429cc62f1ca3c7a00e0062301ae60bcc"> 120</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a1362990d0ce7f09ef735292cc480fa23">uMax</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> &amp; index)</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span>{</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#a1362990d0ce7f09ef735292cc480fa23">uMax</a>(v.data(), v.size(), index);</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span>}</div>
</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00132" data-start="{" data-end="}">
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"><a class="line" href="UMath_8h.html#a387b43468da220548d025010be075476"> 132</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a1362990d0ce7f09ef735292cc480fa23">uMax</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size)</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span>{</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> index;</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#a1362990d0ce7f09ef735292cc480fa23">uMax</a>(v, size, index);</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span>}</div>
</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> </div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00144" data-start="{" data-end="}">
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"><a class="line" href="UMath_8h.html#a0aef304a0891fafcef581dcfbf3ac792"> 144</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a1362990d0ce7f09ef735292cc480fa23">uMax</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v)</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span>{</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#a1362990d0ce7f09ef735292cc480fa23">uMax</a>(v.data(), v.size());</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span>}</div>
</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00157" data-start="{" data-end="}">
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"><a class="line" href="UMath_8h.html#aa37a66d04825a8834648dbe931bd57e6"> 157</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#aa37a66d04825a8834648dbe931bd57e6">uMin</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> &amp; index)</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span>{</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> T min = 0;</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> index = 0;</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keywordflow">if</span>(!v || size == 0)</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> {</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keywordflow">return</span> min;</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> }</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> min = v[0];</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=1; i&lt;size; ++i)</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> {</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordflow">if</span>(<a class="code hl_function" href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309">uIsNan</a>(min) || (min &gt; v[i] &amp;&amp; !<a class="code hl_function" href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309">uIsNan</a>(v[i])))</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> {</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> min = v[i];</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> index = i;</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> }</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> }</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="keywordflow">return</span> min;</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span>}</div>
</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00185" data-start="{" data-end="}">
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"><a class="line" href="UMath_8h.html#a99bd3bc365630c1760432cf810ea5831"> 185</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#aa37a66d04825a8834648dbe931bd57e6">uMin</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> &amp; index)</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span>{</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#aa37a66d04825a8834648dbe931bd57e6">uMin</a>(v.data(), v.size(), index);</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span>}</div>
</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00197" data-start="{" data-end="}">
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"><a class="line" href="UMath_8h.html#a68e11ea992520b98d4e688f8853b5dc4"> 197</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#aa37a66d04825a8834648dbe931bd57e6">uMin</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size)</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span>{</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> index;</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#aa37a66d04825a8834648dbe931bd57e6">uMin</a>(v, size, index);</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span>}</div>
</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> </div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00209" data-start="{" data-end="}">
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"><a class="line" href="UMath_8h.html#aeb0652d64e72d115d751f8186ac9016e"> 209</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#aa37a66d04825a8834648dbe931bd57e6">uMin</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v)</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span>{</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#aa37a66d04825a8834648dbe931bd57e6">uMin</a>(v.data(), v.size());</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span>}</div>
</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> </div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00224" data-start="{" data-end="}">
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"><a class="line" href="UMath_8h.html#af9bfdafb6da16f9c6f4691a6d951538b"> 224</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="UMath_8h.html#af9bfdafb6da16f9c6f4691a6d951538b">uMinMax</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size, T &amp; min, T &amp; max, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> &amp; indexMin, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> &amp; indexMax)</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span>{</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> min = 0;</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> max = 0;</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> indexMin = 0;</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> indexMax = 0;</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="keywordflow">if</span>(!v || size == 0)</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> {</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> }</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> min = v[0];</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> max = v[0];</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=1; i&lt;size; ++i)</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> {</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keywordflow">if</span>(<a class="code hl_function" href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309">uIsNan</a>(min) || (min &gt; v[i] &amp;&amp; !<a class="code hl_function" href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309">uIsNan</a>(v[i])))</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> {</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> min = v[i];</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> indexMin = i;</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> }</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> </div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keywordflow">if</span>(<a class="code hl_function" href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309">uIsNan</a>(max) || (max &lt; v[i] &amp;&amp; !<a class="code hl_function" href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309">uIsNan</a>(v[i])))</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> {</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> max = v[i];</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> indexMax = i;</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> }</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> }</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span>}</div>
</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> </div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00262" data-start="{" data-end="}">
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"><a class="line" href="UMath_8h.html#a23b93249fbe3eebc9d95104f4f8cafff"> 262</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="UMath_8h.html#af9bfdafb6da16f9c6f4691a6d951538b">uMinMax</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v, T &amp; min, T &amp; max, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> &amp; indexMin, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> &amp; indexMax)</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span>{</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <a class="code hl_function" href="UMath_8h.html#af9bfdafb6da16f9c6f4691a6d951538b">uMinMax</a>(v.data(), v.size(), min, max, indexMin, indexMax);</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span>}</div>
</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> </div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00275" data-start="{" data-end="}">
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"><a class="line" href="UMath_8h.html#a9cc051a73d402e69919d8fcea51c3098"> 275</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="UMath_8h.html#af9bfdafb6da16f9c6f4691a6d951538b">uMinMax</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size, T &amp; min, T &amp; max)</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span>{</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> indexMin;</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> indexMax;</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <a class="code hl_function" href="UMath_8h.html#af9bfdafb6da16f9c6f4691a6d951538b">uMinMax</a>(v, size, min, max, indexMin, indexMax);</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span>}</div>
</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> </div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00289" data-start="{" data-end="}">
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"><a class="line" href="UMath_8h.html#af5f7ebda9d440043cd3c57037e81318b"> 289</a></span><span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code hl_function" href="UMath_8h.html#af9bfdafb6da16f9c6f4691a6d951538b">uMinMax</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v, T &amp; min, T &amp; max)</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span>{</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <a class="code hl_function" href="UMath_8h.html#af9bfdafb6da16f9c6f4691a6d951538b">uMinMax</a>(v.data(), v.size(), min, max);</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span>}</div>
</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> </div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00300" data-start="{" data-end="}">
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"><a class="line" href="UMath_8h.html#a6e100ed2031a529679a93b9b4bf818af"> 300</a></span><span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code hl_function" href="UMath_8h.html#a6e100ed2031a529679a93b9b4bf818af">uSign</a>(<span class="keyword">const</span> T &amp; v)</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span>{</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="keywordflow">if</span>(v &lt; 0)</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> {</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keywordflow">return</span> -1;</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> }</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> {</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> <span class="keywordflow">return</span> 1;</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> }</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span>}</div>
</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00318" data-start="{" data-end="}">
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"><a class="line" href="UMath_8h.html#a81a1c24c0229e6c4dc8d8e09497ad114"> 318</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a81a1c24c0229e6c4dc8d8e09497ad114">uSum</a>(<span class="keyword">const</span> std::list&lt;T&gt; &amp; list)</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span>{</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> T sum = 0;</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keywordflow">for</span>(<span class="keyword">typename</span> std::list&lt;T&gt;::const_iterator i=list.begin(); i!=list.end(); ++i)</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> {</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> sum += *i;</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> }</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="keywordflow">return</span> sum;</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span>}</div>
</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> </div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00335" data-start="{" data-end="}">
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"><a class="line" href="UMath_8h.html#a86599e95ecdc91ce2d9497985d5d642b"> 335</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a81a1c24c0229e6c4dc8d8e09497ad114">uSum</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size)</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span>{</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> T sum = 0;</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> <span class="keywordflow">if</span>(v &amp;&amp; size)</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> {</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;size; ++i)</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> {</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> sum += v[i];</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> }</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> }</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="keywordflow">return</span> sum;</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span>}</div>
</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> </div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00354" data-start="{" data-end="}">
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"><a class="line" href="UMath_8h.html#af15f0fa694931f0f99ba640d52539b09"> 354</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a81a1c24c0229e6c4dc8d8e09497ad114">uSum</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v)</div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span>{</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#a81a1c24c0229e6c4dc8d8e09497ad114">uSum</a>(v.data(), (<span class="keywordtype">int</span>)v.size());</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span>}</div>
</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> </div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00367" data-start="{" data-end="}">
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"><a class="line" href="UMath_8h.html#aeb6a6517666687e509617e6bfaf274d3"> 367</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#aeb6a6517666687e509617e6bfaf274d3">uSumSquared</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size, T subtract = T())</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span>{</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> T sum = 0;</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <span class="keywordflow">if</span>(v &amp;&amp; size)</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> {</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;size; ++i)</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> {</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> sum += (v[i]-subtract)*(v[i]-subtract);</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> }</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> }</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="keywordflow">return</span> sum;</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span>}</div>
</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> </div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00387" data-start="{" data-end="}">
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"><a class="line" href="UMath_8h.html#a94be0f1c509db2f294048e6d5b16a522"> 387</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#aeb6a6517666687e509617e6bfaf274d3">uSumSquared</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v, T subtract = T())</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span>{</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#aeb6a6517666687e509617e6bfaf274d3">uSumSquared</a>(v.data(), v.size(), subtract);</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span>}</div>
</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> </div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00399" data-start="{" data-end="}">
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"><a class="line" href="UMath_8h.html#a7376638ab6047306c66a357153a47196"> 399</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a7376638ab6047306c66a357153a47196">uMean</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size)</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span>{</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> T buf = 0;</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <span class="keywordflow">if</span>(v &amp;&amp; size)</div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> {</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;size; ++i)</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> {</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> buf += v[i];</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> }</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> buf /= size;</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> }</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> <span class="keywordflow">return</span> buf;</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span>}</div>
</div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> </div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00419" data-start="{" data-end="}">
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"><a class="line" href="UMath_8h.html#aa4e1e6cf3df49d68d95bbe9981d1600e"> 419</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a7376638ab6047306c66a357153a47196">uMean</a>(<span class="keyword">const</span> std::list&lt;T&gt; &amp; list)</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span>{</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> T m = 0;</div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> <span class="keywordflow">if</span>(list.size())</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> {</div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> <span class="keywordflow">for</span>(<span class="keyword">typename</span> std::list&lt;T&gt;::const_iterator i=list.begin(); i!=list.end(); ++i)</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> {</div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> m += *i;</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> }</div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> m /= list.size();</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> }</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> <span class="keywordflow">return</span> m;</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span>}</div>
</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> </div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00439" data-start="{" data-end="}">
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"><a class="line" href="UMath_8h.html#a8c8cd8ce7b3d8f32847bb57e9f73a625"> 439</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a7376638ab6047306c66a357153a47196">uMean</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v)</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span>{</div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#a7376638ab6047306c66a357153a47196">uMean</a>(v.data(), v.size());</div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span>}</div>
</div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> </div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00453" data-start="{" data-end="}">
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"><a class="line" href="UMath_8h.html#a28770817787def2a9165ed070fa17a54"> 453</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a28770817787def2a9165ed070fa17a54">uMeanSquaredError</a>(<span class="keyword">const</span> T * x, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> sizeX, <span class="keyword">const</span> T * y, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> sizeY)</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span>{</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> T sum = 0;</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> <span class="keywordflow">if</span>(x &amp;&amp; y &amp;&amp; sizeX == sizeY)</div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> {</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;sizeX; ++i)</div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> {</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> T diff = x[i]-y[i];</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> sum += diff*diff;</div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> }</div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> <span class="keywordflow">return</span> sum/(T)sizeX;</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> }</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> <span class="keywordflow">return</span> (T)-1;</div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span>}</div>
</div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> </div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00475" data-start="{" data-end="}">
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"><a class="line" href="UMath_8h.html#a319bcffddfeab66d5cbb729fa56dd361"> 475</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a28770817787def2a9165ed070fa17a54">uMeanSquaredError</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; x, <span class="keyword">const</span> std::vector&lt;T&gt; &amp; y)</div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span>{</div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#a28770817787def2a9165ed070fa17a54">uMeanSquaredError</a>(x.data(), x.size(), y.data(), y.size());</div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span>}</div>
</div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span> </div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00489" data-start="{" data-end="}">
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"><a class="line" href="UMath_8h.html#add45b750bab7251ba196079289f17d7d"> 489</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#add45b750bab7251ba196079289f17d7d">uVariance</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size, T meanV)</div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span>{</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> T buf = 0;</div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> <span class="keywordflow">if</span>(v &amp;&amp; size&gt;1)</div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> {</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> <span class="keywordtype">float</span> sum = 0;</div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;size; ++i)</div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span> {</div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> sum += (v[i]-meanV)*(v[i]-meanV);</div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span> }</div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span> buf = sum/(size-1);</div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span> }</div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> <span class="keywordflow">return</span> buf;</div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span>}</div>
</div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> </div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00512" data-start="{" data-end="}">
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"><a class="line" href="UMath_8h.html#aa6ea127b567072434a5616bcc1c1f6e3"> 512</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#add45b750bab7251ba196079289f17d7d">uVariance</a>(<span class="keyword">const</span> std::list&lt;T&gt; &amp; list, <span class="keyword">const</span> T &amp; m)</div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span>{</div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> T buf = 0;</div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> <span class="keywordflow">if</span>(list.size()&gt;1)</div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> {</div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> <span class="keywordtype">float</span> sum = 0;</div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> <span class="keywordflow">for</span>(<span class="keyword">typename</span> std::list&lt;T&gt;::const_iterator i=list.begin(); i!=list.end(); ++i)</div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> {</div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> sum += (*i-m)*(*i-m);</div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> }</div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> buf = sum/(list.size()-1);</div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> }</div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> <span class="keywordflow">return</span> buf;</div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span>}</div>
</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> </div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00534" data-start="{" data-end="}">
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"><a class="line" href="UMath_8h.html#a0aa8de7d20731bcae07d956256e293f6"> 534</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#add45b750bab7251ba196079289f17d7d">uVariance</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size)</div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span>{</div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> T m = <a class="code hl_function" href="UMath_8h.html#a7376638ab6047306c66a357153a47196">uMean</a>(v, size);</div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#add45b750bab7251ba196079289f17d7d">uVariance</a>(v, size, m);</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span>}</div>
</div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> </div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00548" data-start="{" data-end="}">
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"><a class="line" href="UMath_8h.html#a8d443d065900ca7096d08c9431fef71f"> 548</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#add45b750bab7251ba196079289f17d7d">uVariance</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v, <span class="keyword">const</span> T &amp; m)</div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span>{</div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"> 550</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#add45b750bab7251ba196079289f17d7d">uVariance</a>(v.data(), v.size(), m);</div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span>}</div>
</div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> </div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"> 557</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00558" data-start="{" data-end="}">
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"><a class="line" href="UMath_8h.html#aeed14782b35224f70db6b5435dce06a1"> 558</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#aeed14782b35224f70db6b5435dce06a1">uNormSquared</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v)</div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span>{</div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> <span class="keywordtype">float</span> sum = 0.0f;</div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;v.size(); ++i)</div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> {</div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span> sum += v[i]*v[i];</div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"> 564</span> }</div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"> 565</span> <span class="keywordflow">return</span> sum;</div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span>}</div>
</div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span> </div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00573" data-start="{" data-end="}">
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"><a class="line" href="UMath_8h.html#ab5e611c29307d8733cfaebc68bed1ac6"> 573</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#ab5e611c29307d8733cfaebc68bed1ac6">uNorm</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v)</div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"> 574</span>{</div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> <span class="keywordflow">return</span> std::sqrt(<a class="code hl_function" href="UMath_8h.html#aeed14782b35224f70db6b5435dce06a1">uNormSquared</a>(v));</div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span>}</div>
</div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span> </div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00583" data-start="{" data-end="}">
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"><a class="line" href="UMath_8h.html#aea5fd5d0bd9afdb11c765584c89a5f8f"> 583</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#aeed14782b35224f70db6b5435dce06a1">uNormSquared</a>(<span class="keyword">const</span> T &amp; x1, <span class="keyword">const</span> T &amp; x2)</div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span>{</div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> <span class="keywordflow">return</span> x1*x1 + x2*x2;</div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span>}</div>
</div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span> </div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00593" data-start="{" data-end="}">
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"><a class="line" href="UMath_8h.html#abe92bd5cba3860759c40c322ab1ac995"> 593</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#ab5e611c29307d8733cfaebc68bed1ac6">uNorm</a>(<span class="keyword">const</span> T &amp; x1, <span class="keyword">const</span> T &amp; x2)</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span>{</div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span> <span class="keywordflow">return</span> std::sqrt(<a class="code hl_function" href="UMath_8h.html#aeed14782b35224f70db6b5435dce06a1">uNormSquared</a>(x1, x2));</div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span>}</div>
</div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span> </div>
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"> 602</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00603" data-start="{" data-end="}">
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"><a class="line" href="UMath_8h.html#a0a3b6871504f5a745f8769492f45871c"> 603</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#aeed14782b35224f70db6b5435dce06a1">uNormSquared</a>(<span class="keyword">const</span> T &amp; x1, <span class="keyword">const</span> T &amp; x2, <span class="keyword">const</span> T &amp; x3)</div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"> 604</span>{</div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> <span class="keywordflow">return</span> x1*x1 + x2*x2 + x3*x3;</div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span>}</div>
</div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> </div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"> 612</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00613" data-start="{" data-end="}">
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"><a class="line" href="UMath_8h.html#a6b6fbb2032ce05eeacdb1b0bc87627e8"> 613</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#ab5e611c29307d8733cfaebc68bed1ac6">uNorm</a>(<span class="keyword">const</span> T &amp; x1, <span class="keyword">const</span> T &amp; x2, <span class="keyword">const</span> T &amp; x3)</div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span>{</div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"> 615</span> <span class="keywordflow">return</span> std::sqrt(<a class="code hl_function" href="UMath_8h.html#aeed14782b35224f70db6b5435dce06a1">uNormSquared</a>(x1, x2, x3));</div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"> 616</span>}</div>
</div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> </div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00623" data-start="{" data-end="}">
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno"><a class="line" href="UMath_8h.html#a2f843f6f6bf0bd59b527aaa8c4731612"> 623</a></span><span class="keyword">inline</span> std::vector&lt;T&gt; <a class="code hl_function" href="UMath_8h.html#a2f843f6f6bf0bd59b527aaa8c4731612">uNormalize</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v)</div>
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno"> 624</span>{</div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno"> 625</span> <span class="keywordtype">float</span> norm = <a class="code hl_function" href="UMath_8h.html#ab5e611c29307d8733cfaebc68bed1ac6">uNorm</a>(v);</div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno"> 626</span> <span class="keywordflow">if</span>(norm == 0)</div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno"> 627</span> {</div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno"> 628</span> <span class="keywordflow">return</span> v;</div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno"> 629</span> }</div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno"> 630</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno"> 631</span> {</div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno"> 632</span> std::vector&lt;T&gt; r(v.size());</div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno"> 633</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;v.size(); ++i)</div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno"> 634</span> {</div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno"> 635</span> r[i] = v[i]/norm;</div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno"> 636</span> }</div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"> 637</span> <span class="keywordflow">return</span> r;</div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno"> 638</span> }</div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno"> 639</span>}</div>
</div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno"> 640</span> </div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno"> 644</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00645" data-start="{" data-end="}">
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno"><a class="line" href="UMath_8h.html#a2feb416e779b88c4a6a849d609222c99"> 645</a></span><span class="keyword">inline</span> std::list&lt;unsigned int&gt; <a class="code hl_function" href="UMath_8h.html#a2feb416e779b88c4a6a849d609222c99">uLocalMaxima</a>(<span class="keyword">const</span> T * v, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size)</div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno"> 646</span>{</div>
<div class="line"><a id="l00647" name="l00647"></a><span class="lineno"> 647</span> std::list&lt;unsigned int&gt; maxima;</div>
<div class="line"><a id="l00648" name="l00648"></a><span class="lineno"> 648</span> <span class="keywordflow">if</span>(size)</div>
<div class="line"><a id="l00649" name="l00649"></a><span class="lineno"> 649</span> {</div>
<div class="line"><a id="l00650" name="l00650"></a><span class="lineno"> 650</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;size; ++i)</div>
<div class="line"><a id="l00651" name="l00651"></a><span class="lineno"> 651</span> {</div>
<div class="line"><a id="l00652" name="l00652"></a><span class="lineno"> 652</span> <span class="keywordflow">if</span>(i == 0)</div>
<div class="line"><a id="l00653" name="l00653"></a><span class="lineno"> 653</span> {</div>
<div class="line"><a id="l00654" name="l00654"></a><span class="lineno"> 654</span> <span class="comment">// first item</span></div>
<div class="line"><a id="l00655" name="l00655"></a><span class="lineno"> 655</span> <span class="keywordflow">if</span>((i+1 &lt; size &amp;&amp; v[i] &gt; v[i+1]) ||</div>
<div class="line"><a id="l00656" name="l00656"></a><span class="lineno"> 656</span> i+1 &gt;= size)</div>
<div class="line"><a id="l00657" name="l00657"></a><span class="lineno"> 657</span> {</div>
<div class="line"><a id="l00658" name="l00658"></a><span class="lineno"> 658</span> maxima.push_back(i);</div>
<div class="line"><a id="l00659" name="l00659"></a><span class="lineno"> 659</span> }</div>
<div class="line"><a id="l00660" name="l00660"></a><span class="lineno"> 660</span> }</div>
<div class="line"><a id="l00661" name="l00661"></a><span class="lineno"> 661</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span>(i == size - 1)</div>
<div class="line"><a id="l00662" name="l00662"></a><span class="lineno"> 662</span> {</div>
<div class="line"><a id="l00663" name="l00663"></a><span class="lineno"> 663</span> <span class="comment">//last item</span></div>
<div class="line"><a id="l00664" name="l00664"></a><span class="lineno"> 664</span> <span class="keywordflow">if</span>((i &gt;= 1 &amp;&amp; v[i] &gt; v[i-1]) ||</div>
<div class="line"><a id="l00665" name="l00665"></a><span class="lineno"> 665</span> i == 0)</div>
<div class="line"><a id="l00666" name="l00666"></a><span class="lineno"> 666</span> {</div>
<div class="line"><a id="l00667" name="l00667"></a><span class="lineno"> 667</span> maxima.push_back(i);</div>
<div class="line"><a id="l00668" name="l00668"></a><span class="lineno"> 668</span> }</div>
<div class="line"><a id="l00669" name="l00669"></a><span class="lineno"> 669</span> }</div>
<div class="line"><a id="l00670" name="l00670"></a><span class="lineno"> 670</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00671" name="l00671"></a><span class="lineno"> 671</span> {</div>
<div class="line"><a id="l00672" name="l00672"></a><span class="lineno"> 672</span> <span class="comment">//all others, check previous and next</span></div>
<div class="line"><a id="l00673" name="l00673"></a><span class="lineno"> 673</span> <span class="keywordflow">if</span>(v[i] &gt; v[i-1] &amp;&amp; v[i] &gt; v[i+1])</div>
<div class="line"><a id="l00674" name="l00674"></a><span class="lineno"> 674</span> {</div>
<div class="line"><a id="l00675" name="l00675"></a><span class="lineno"> 675</span> maxima.push_back(i);</div>
<div class="line"><a id="l00676" name="l00676"></a><span class="lineno"> 676</span> }</div>
<div class="line"><a id="l00677" name="l00677"></a><span class="lineno"> 677</span> }</div>
<div class="line"><a id="l00678" name="l00678"></a><span class="lineno"> 678</span> }</div>
<div class="line"><a id="l00679" name="l00679"></a><span class="lineno"> 679</span> }</div>
<div class="line"><a id="l00680" name="l00680"></a><span class="lineno"> 680</span> <span class="keywordflow">return</span> maxima;</div>
<div class="line"><a id="l00681" name="l00681"></a><span class="lineno"> 681</span>}</div>
</div>
<div class="line"><a id="l00682" name="l00682"></a><span class="lineno"> 682</span> </div>
<div class="line"><a id="l00686" name="l00686"></a><span class="lineno"> 686</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00687" data-start="{" data-end="}">
<div class="line"><a id="l00687" name="l00687"></a><span class="lineno"><a class="line" href="UMath_8h.html#a321ec84227fff8bf26aa85b0d3be5bb7"> 687</a></span><span class="keyword">inline</span> std::list&lt;unsigned int&gt; <a class="code hl_function" href="UMath_8h.html#a2feb416e779b88c4a6a849d609222c99">uLocalMaxima</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v)</div>
<div class="line"><a id="l00688" name="l00688"></a><span class="lineno"> 688</span>{</div>
<div class="line"><a id="l00689" name="l00689"></a><span class="lineno"> 689</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#a2feb416e779b88c4a6a849d609222c99">uLocalMaxima</a>(v.data(), v.size());</div>
<div class="line"><a id="l00690" name="l00690"></a><span class="lineno"> 690</span>}</div>
</div>
<div class="line"><a id="l00691" name="l00691"></a><span class="lineno"> 691</span> </div>
<div class="line"><a id="l00696" name="l00696"></a><span class="lineno"><a class="line" href="UMath_8h.html#ae24d0d5b3a1d44ae8c5e50bb86a15cba"> 696</a></span><span class="keyword">enum</span> <a class="code hl_enumeration" href="UMath_8h.html#ae24d0d5b3a1d44ae8c5e50bb86a15cba">UXMatchMethod</a>{UXCorrRaw, UXCorrBiased, UXCorrUnbiased, UXCorrCoeff, UXCovRaw, UXCovBiased, UXCovUnbiased, UXCovCoeff};</div>
<div class="line"><a id="l00697" name="l00697"></a><span class="lineno"> 697</span> </div>
<div class="line"><a id="l00707" name="l00707"></a><span class="lineno"> 707</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00708" data-start="{" data-end="}">
<div class="line"><a id="l00708" name="l00708"></a><span class="lineno"><a class="line" href="UMath_8h.html#a913829c5228fabff88e4918111c1d424"> 708</a></span><span class="keyword">inline</span> std::vector&lt;T&gt; <a class="code hl_function" href="UMath_8h.html#a913829c5228fabff88e4918111c1d424">uXMatch</a>(<span class="keyword">const</span> T * vA, <span class="keyword">const</span> T * vB, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> sizeA, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> sizeB, <a class="code hl_enumeration" href="UMath_8h.html#ae24d0d5b3a1d44ae8c5e50bb86a15cba">UXMatchMethod</a> method)</div>
<div class="line"><a id="l00709" name="l00709"></a><span class="lineno"> 709</span>{</div>
<div class="line"><a id="l00710" name="l00710"></a><span class="lineno"> 710</span> <span class="keywordflow">if</span>(!vA || !vB || sizeA == 0 || sizeB == 0)</div>
<div class="line"><a id="l00711" name="l00711"></a><span class="lineno"> 711</span> {</div>
<div class="line"><a id="l00712" name="l00712"></a><span class="lineno"> 712</span> <span class="keywordflow">return</span> std::vector&lt;T&gt;();</div>
<div class="line"><a id="l00713" name="l00713"></a><span class="lineno"> 713</span> }</div>
<div class="line"><a id="l00714" name="l00714"></a><span class="lineno"> 714</span> </div>
<div class="line"><a id="l00715" name="l00715"></a><span class="lineno"> 715</span> std::vector&lt;T&gt; result(sizeA + sizeB - 1);</div>
<div class="line"><a id="l00716" name="l00716"></a><span class="lineno"> 716</span> </div>
<div class="line"><a id="l00717" name="l00717"></a><span class="lineno"> 717</span> T meanA = 0;</div>
<div class="line"><a id="l00718" name="l00718"></a><span class="lineno"> 718</span> T meanB = 0;</div>
<div class="line"><a id="l00719" name="l00719"></a><span class="lineno"> 719</span> <span class="keywordflow">if</span>(method &gt; UXCorrCoeff)</div>
<div class="line"><a id="l00720" name="l00720"></a><span class="lineno"> 720</span> {</div>
<div class="line"><a id="l00721" name="l00721"></a><span class="lineno"> 721</span> meanA = <a class="code hl_function" href="UMath_8h.html#a7376638ab6047306c66a357153a47196">uMean</a>(vA, sizeA);</div>
<div class="line"><a id="l00722" name="l00722"></a><span class="lineno"> 722</span> meanB = <a class="code hl_function" href="UMath_8h.html#a7376638ab6047306c66a357153a47196">uMean</a>(vB, sizeB);</div>
<div class="line"><a id="l00723" name="l00723"></a><span class="lineno"> 723</span> }</div>
<div class="line"><a id="l00724" name="l00724"></a><span class="lineno"> 724</span> </div>
<div class="line"><a id="l00725" name="l00725"></a><span class="lineno"> 725</span> T den = 1;</div>
<div class="line"><a id="l00726" name="l00726"></a><span class="lineno"> 726</span> <span class="keywordflow">if</span>(method == UXCorrCoeff || method == UXCovCoeff)</div>
<div class="line"><a id="l00727" name="l00727"></a><span class="lineno"> 727</span> {</div>
<div class="line"><a id="l00728" name="l00728"></a><span class="lineno"> 728</span> den = std::sqrt(<a class="code hl_function" href="UMath_8h.html#aeb6a6517666687e509617e6bfaf274d3">uSumSquared</a>(vA, sizeA, meanA) * <a class="code hl_function" href="UMath_8h.html#aeb6a6517666687e509617e6bfaf274d3">uSumSquared</a>(vB, sizeB, meanB));</div>
<div class="line"><a id="l00729" name="l00729"></a><span class="lineno"> 729</span> }</div>
<div class="line"><a id="l00730" name="l00730"></a><span class="lineno"> 730</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span>(method == UXCorrBiased || method == UXCovBiased)</div>
<div class="line"><a id="l00731" name="l00731"></a><span class="lineno"> 731</span> {</div>
<div class="line"><a id="l00732" name="l00732"></a><span class="lineno"> 732</span> den = (T)std::max(sizeA, sizeB);</div>
<div class="line"><a id="l00733" name="l00733"></a><span class="lineno"> 733</span> }</div>
<div class="line"><a id="l00734" name="l00734"></a><span class="lineno"> 734</span> </div>
<div class="line"><a id="l00735" name="l00735"></a><span class="lineno"> 735</span> <span class="keywordflow">if</span>(sizeA == sizeB)</div>
<div class="line"><a id="l00736" name="l00736"></a><span class="lineno"> 736</span> {</div>
<div class="line"><a id="l00737" name="l00737"></a><span class="lineno"> 737</span> T resultA;</div>
<div class="line"><a id="l00738" name="l00738"></a><span class="lineno"> 738</span> T resultB;</div>
<div class="line"><a id="l00739" name="l00739"></a><span class="lineno"> 739</span> </div>
<div class="line"><a id="l00740" name="l00740"></a><span class="lineno"> 740</span> <span class="keywordtype">int</span> posA;</div>
<div class="line"><a id="l00741" name="l00741"></a><span class="lineno"> 741</span> <span class="keywordtype">int</span> posB;</div>
<div class="line"><a id="l00742" name="l00742"></a><span class="lineno"> 742</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> j;</div>
<div class="line"><a id="l00743" name="l00743"></a><span class="lineno"> 743</span> </div>
<div class="line"><a id="l00744" name="l00744"></a><span class="lineno"> 744</span> <span class="comment">// Optimization, filling two results at once</span></div>
<div class="line"><a id="l00745" name="l00745"></a><span class="lineno"> 745</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;sizeA; ++i)</div>
<div class="line"><a id="l00746" name="l00746"></a><span class="lineno"> 746</span> {</div>
<div class="line"><a id="l00747" name="l00747"></a><span class="lineno"> 747</span> <span class="keywordflow">if</span>(method == UXCorrUnbiased || method == UXCovUnbiased)</div>
<div class="line"><a id="l00748" name="l00748"></a><span class="lineno"> 748</span> {</div>
<div class="line"><a id="l00749" name="l00749"></a><span class="lineno"> 749</span> den = 0;</div>
<div class="line"><a id="l00750" name="l00750"></a><span class="lineno"> 750</span> }</div>
<div class="line"><a id="l00751" name="l00751"></a><span class="lineno"> 751</span> </div>
<div class="line"><a id="l00752" name="l00752"></a><span class="lineno"> 752</span> posA = sizeA - i - 1;</div>
<div class="line"><a id="l00753" name="l00753"></a><span class="lineno"> 753</span> posB = sizeB - i - 1;</div>
<div class="line"><a id="l00754" name="l00754"></a><span class="lineno"> 754</span> resultA = 0;</div>
<div class="line"><a id="l00755" name="l00755"></a><span class="lineno"> 755</span> resultB = 0;</div>
<div class="line"><a id="l00756" name="l00756"></a><span class="lineno"> 756</span> <span class="keywordflow">for</span>(j=0; (j + posB) &lt; sizeB &amp;&amp; (j + posA) &lt; sizeA; ++j)</div>
<div class="line"><a id="l00757" name="l00757"></a><span class="lineno"> 757</span> {</div>
<div class="line"><a id="l00758" name="l00758"></a><span class="lineno"> 758</span> resultA += (vA[j] - meanA) * (vB[j + posB] - meanB);</div>
<div class="line"><a id="l00759" name="l00759"></a><span class="lineno"> 759</span> resultB += (vA[j + posA] - meanA) * (vB[j] - meanB);</div>
<div class="line"><a id="l00760" name="l00760"></a><span class="lineno"> 760</span> <span class="keywordflow">if</span>(method == UXCorrUnbiased || method == UXCovUnbiased)</div>
<div class="line"><a id="l00761" name="l00761"></a><span class="lineno"> 761</span> {</div>
<div class="line"><a id="l00762" name="l00762"></a><span class="lineno"> 762</span> ++den;</div>
<div class="line"><a id="l00763" name="l00763"></a><span class="lineno"> 763</span> }</div>
<div class="line"><a id="l00764" name="l00764"></a><span class="lineno"> 764</span> }</div>
<div class="line"><a id="l00765" name="l00765"></a><span class="lineno"> 765</span> </div>
<div class="line"><a id="l00766" name="l00766"></a><span class="lineno"> 766</span> result[i] = resultA / den;</div>
<div class="line"><a id="l00767" name="l00767"></a><span class="lineno"> 767</span> result[result.size()-1 -i] = resultB / den;</div>
<div class="line"><a id="l00768" name="l00768"></a><span class="lineno"> 768</span> }</div>
<div class="line"><a id="l00769" name="l00769"></a><span class="lineno"> 769</span> }</div>
<div class="line"><a id="l00770" name="l00770"></a><span class="lineno"> 770</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00771" name="l00771"></a><span class="lineno"> 771</span> {</div>
<div class="line"><a id="l00772" name="l00772"></a><span class="lineno"> 772</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;result.size(); ++i)</div>
<div class="line"><a id="l00773" name="l00773"></a><span class="lineno"> 773</span> {</div>
<div class="line"><a id="l00774" name="l00774"></a><span class="lineno"> 774</span> <span class="keywordflow">if</span>(method == UXCorrUnbiased || method == UXCovUnbiased)</div>
<div class="line"><a id="l00775" name="l00775"></a><span class="lineno"> 775</span> {</div>
<div class="line"><a id="l00776" name="l00776"></a><span class="lineno"> 776</span> den = 0;</div>
<div class="line"><a id="l00777" name="l00777"></a><span class="lineno"> 777</span> }</div>
<div class="line"><a id="l00778" name="l00778"></a><span class="lineno"> 778</span> </div>
<div class="line"><a id="l00779" name="l00779"></a><span class="lineno"> 779</span> <span class="keywordtype">int</span> posB = sizeB - i - 1;</div>
<div class="line"><a id="l00780" name="l00780"></a><span class="lineno"> 780</span> T r = 0;</div>
<div class="line"><a id="l00781" name="l00781"></a><span class="lineno"> 781</span> <span class="keywordflow">if</span>(posB &gt;= 0)</div>
<div class="line"><a id="l00782" name="l00782"></a><span class="lineno"> 782</span> {</div>
<div class="line"><a id="l00783" name="l00783"></a><span class="lineno"> 783</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> j=0; (j + posB) &lt; sizeB &amp;&amp; j &lt; sizeA; ++j)</div>
<div class="line"><a id="l00784" name="l00784"></a><span class="lineno"> 784</span> {</div>
<div class="line"><a id="l00785" name="l00785"></a><span class="lineno"> 785</span> r += (vA[j] - meanA) * (vB[j + posB] - meanB);</div>
<div class="line"><a id="l00786" name="l00786"></a><span class="lineno"> 786</span> <span class="keywordflow">if</span>(method == UXCorrUnbiased || method == UXCovUnbiased)</div>
<div class="line"><a id="l00787" name="l00787"></a><span class="lineno"> 787</span> {</div>
<div class="line"><a id="l00788" name="l00788"></a><span class="lineno"> 788</span> ++den;</div>
<div class="line"><a id="l00789" name="l00789"></a><span class="lineno"> 789</span> }</div>
<div class="line"><a id="l00790" name="l00790"></a><span class="lineno"> 790</span> }</div>
<div class="line"><a id="l00791" name="l00791"></a><span class="lineno"> 791</span> }</div>
<div class="line"><a id="l00792" name="l00792"></a><span class="lineno"> 792</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00793" name="l00793"></a><span class="lineno"> 793</span> {</div>
<div class="line"><a id="l00794" name="l00794"></a><span class="lineno"> 794</span> <span class="keywordtype">int</span> posA = posB*-1;</div>
<div class="line"><a id="l00795" name="l00795"></a><span class="lineno"> 795</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; (i+posA) &lt; sizeA &amp;&amp; i &lt; sizeB; ++i)</div>
<div class="line"><a id="l00796" name="l00796"></a><span class="lineno"> 796</span> {</div>
<div class="line"><a id="l00797" name="l00797"></a><span class="lineno"> 797</span> r += (vA[i+posA] - meanA) * (vB[i] - meanB);</div>
<div class="line"><a id="l00798" name="l00798"></a><span class="lineno"> 798</span> <span class="keywordflow">if</span>(method == UXCorrUnbiased || method == UXCovUnbiased)</div>
<div class="line"><a id="l00799" name="l00799"></a><span class="lineno"> 799</span> {</div>
<div class="line"><a id="l00800" name="l00800"></a><span class="lineno"> 800</span> ++den;</div>
<div class="line"><a id="l00801" name="l00801"></a><span class="lineno"> 801</span> }</div>
<div class="line"><a id="l00802" name="l00802"></a><span class="lineno"> 802</span> }</div>
<div class="line"><a id="l00803" name="l00803"></a><span class="lineno"> 803</span> }</div>
<div class="line"><a id="l00804" name="l00804"></a><span class="lineno"> 804</span> </div>
<div class="line"><a id="l00805" name="l00805"></a><span class="lineno"> 805</span> result[i] = r / den;</div>
<div class="line"><a id="l00806" name="l00806"></a><span class="lineno"> 806</span> }</div>
<div class="line"><a id="l00807" name="l00807"></a><span class="lineno"> 807</span> }</div>
<div class="line"><a id="l00808" name="l00808"></a><span class="lineno"> 808</span> </div>
<div class="line"><a id="l00809" name="l00809"></a><span class="lineno"> 809</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00810" name="l00810"></a><span class="lineno"> 810</span>}</div>
</div>
<div class="line"><a id="l00811" name="l00811"></a><span class="lineno"> 811</span> </div>
<div class="line"><a id="l00819" name="l00819"></a><span class="lineno"> 819</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00820" data-start="{" data-end="}">
<div class="line"><a id="l00820" name="l00820"></a><span class="lineno"><a class="line" href="UMath_8h.html#a4694c7d40749b5cb09c596d232720192"> 820</a></span><span class="keyword">inline</span> std::vector&lt;T&gt; <a class="code hl_function" href="UMath_8h.html#a913829c5228fabff88e4918111c1d424">uXMatch</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; vA, <span class="keyword">const</span> std::vector&lt;T&gt; &amp; vB, <a class="code hl_enumeration" href="UMath_8h.html#ae24d0d5b3a1d44ae8c5e50bb86a15cba">UXMatchMethod</a> method)</div>
<div class="line"><a id="l00821" name="l00821"></a><span class="lineno"> 821</span>{</div>
<div class="line"><a id="l00822" name="l00822"></a><span class="lineno"> 822</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#a913829c5228fabff88e4918111c1d424">uXMatch</a>(vA.data(), vB.data(), vA.size(), vB.size(), method);</div>
<div class="line"><a id="l00823" name="l00823"></a><span class="lineno"> 823</span>}</div>
</div>
<div class="line"><a id="l00824" name="l00824"></a><span class="lineno"> 824</span> </div>
<div class="line"><a id="l00835" name="l00835"></a><span class="lineno"> 835</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00836" data-start="{" data-end="}">
<div class="line"><a id="l00836" name="l00836"></a><span class="lineno"><a class="line" href="UMath_8h.html#ac616ce0471d2e35fafd59d88021ccab3"> 836</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a913829c5228fabff88e4918111c1d424">uXMatch</a>(<span class="keyword">const</span> T * vA, <span class="keyword">const</span> T * vB, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> sizeA, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> sizeB, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> index, <a class="code hl_enumeration" href="UMath_8h.html#ae24d0d5b3a1d44ae8c5e50bb86a15cba">UXMatchMethod</a> method)</div>
<div class="line"><a id="l00837" name="l00837"></a><span class="lineno"> 837</span>{</div>
<div class="line"><a id="l00838" name="l00838"></a><span class="lineno"> 838</span> T result = 0;</div>
<div class="line"><a id="l00839" name="l00839"></a><span class="lineno"> 839</span> <span class="keywordflow">if</span>(!vA || !vB || sizeA == 0 || sizeB == 0)</div>
<div class="line"><a id="l00840" name="l00840"></a><span class="lineno"> 840</span> {</div>
<div class="line"><a id="l00841" name="l00841"></a><span class="lineno"> 841</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00842" name="l00842"></a><span class="lineno"> 842</span> }</div>
<div class="line"><a id="l00843" name="l00843"></a><span class="lineno"> 843</span> </div>
<div class="line"><a id="l00844" name="l00844"></a><span class="lineno"> 844</span> T meanA = 0;</div>
<div class="line"><a id="l00845" name="l00845"></a><span class="lineno"> 845</span> T meanB = 0;</div>
<div class="line"><a id="l00846" name="l00846"></a><span class="lineno"> 846</span> <span class="keywordflow">if</span>(method &gt; UXCorrCoeff)</div>
<div class="line"><a id="l00847" name="l00847"></a><span class="lineno"> 847</span> {</div>
<div class="line"><a id="l00848" name="l00848"></a><span class="lineno"> 848</span> meanA = <a class="code hl_function" href="UMath_8h.html#a7376638ab6047306c66a357153a47196">uMean</a>(vA, sizeA);</div>
<div class="line"><a id="l00849" name="l00849"></a><span class="lineno"> 849</span> meanB = <a class="code hl_function" href="UMath_8h.html#a7376638ab6047306c66a357153a47196">uMean</a>(vB, sizeB);</div>
<div class="line"><a id="l00850" name="l00850"></a><span class="lineno"> 850</span> }</div>
<div class="line"><a id="l00851" name="l00851"></a><span class="lineno"> 851</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> size = sizeA + sizeB - 1;</div>
<div class="line"><a id="l00852" name="l00852"></a><span class="lineno"> 852</span> </div>
<div class="line"><a id="l00853" name="l00853"></a><span class="lineno"> 853</span> T den = 1;</div>
<div class="line"><a id="l00854" name="l00854"></a><span class="lineno"> 854</span> <span class="keywordflow">if</span>(method == UXCorrCoeff || method == UXCovCoeff)</div>
<div class="line"><a id="l00855" name="l00855"></a><span class="lineno"> 855</span> {</div>
<div class="line"><a id="l00856" name="l00856"></a><span class="lineno"> 856</span> den = std::sqrt(<a class="code hl_function" href="UMath_8h.html#aeb6a6517666687e509617e6bfaf274d3">uSumSquared</a>(vA, sizeA, meanA) * <a class="code hl_function" href="UMath_8h.html#aeb6a6517666687e509617e6bfaf274d3">uSumSquared</a>(vB, sizeB, meanB));</div>
<div class="line"><a id="l00857" name="l00857"></a><span class="lineno"> 857</span> }</div>
<div class="line"><a id="l00858" name="l00858"></a><span class="lineno"> 858</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span>(method == UXCorrBiased || method == UXCovBiased)</div>
<div class="line"><a id="l00859" name="l00859"></a><span class="lineno"> 859</span> {</div>
<div class="line"><a id="l00860" name="l00860"></a><span class="lineno"> 860</span> den = (T)std::max(sizeA, sizeB);</div>
<div class="line"><a id="l00861" name="l00861"></a><span class="lineno"> 861</span> }</div>
<div class="line"><a id="l00862" name="l00862"></a><span class="lineno"> 862</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span>(method == UXCorrUnbiased || method == UXCovUnbiased)</div>
<div class="line"><a id="l00863" name="l00863"></a><span class="lineno"> 863</span> {</div>
<div class="line"><a id="l00864" name="l00864"></a><span class="lineno"> 864</span> den = 0;</div>
<div class="line"><a id="l00865" name="l00865"></a><span class="lineno"> 865</span> }</div>
<div class="line"><a id="l00866" name="l00866"></a><span class="lineno"> 866</span> </div>
<div class="line"><a id="l00867" name="l00867"></a><span class="lineno"> 867</span> <span class="keywordflow">if</span>(index &lt; size)</div>
<div class="line"><a id="l00868" name="l00868"></a><span class="lineno"> 868</span> {</div>
<div class="line"><a id="l00869" name="l00869"></a><span class="lineno"> 869</span> <span class="keywordtype">int</span> posB = sizeB - index - 1;</div>
<div class="line"><a id="l00870" name="l00870"></a><span class="lineno"> 870</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i;</div>
<div class="line"><a id="l00871" name="l00871"></a><span class="lineno"> 871</span> <span class="keywordflow">if</span>(posB &gt;= 0)</div>
<div class="line"><a id="l00872" name="l00872"></a><span class="lineno"> 872</span> {</div>
<div class="line"><a id="l00873" name="l00873"></a><span class="lineno"> 873</span> <span class="keywordflow">for</span>(i=0; (i + posB) &lt; sizeB &amp;&amp; i &lt; sizeA; ++i)</div>
<div class="line"><a id="l00874" name="l00874"></a><span class="lineno"> 874</span> {</div>
<div class="line"><a id="l00875" name="l00875"></a><span class="lineno"> 875</span> result += (vA[i] - meanA) * (vB[i + posB] - meanB);</div>
<div class="line"><a id="l00876" name="l00876"></a><span class="lineno"> 876</span> <span class="keywordflow">if</span>(method == UXCorrUnbiased || method == UXCovUnbiased)</div>
<div class="line"><a id="l00877" name="l00877"></a><span class="lineno"> 877</span> {</div>
<div class="line"><a id="l00878" name="l00878"></a><span class="lineno"> 878</span> ++den;</div>
<div class="line"><a id="l00879" name="l00879"></a><span class="lineno"> 879</span> }</div>
<div class="line"><a id="l00880" name="l00880"></a><span class="lineno"> 880</span> }</div>
<div class="line"><a id="l00881" name="l00881"></a><span class="lineno"> 881</span> }</div>
<div class="line"><a id="l00882" name="l00882"></a><span class="lineno"> 882</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00883" name="l00883"></a><span class="lineno"> 883</span> {</div>
<div class="line"><a id="l00884" name="l00884"></a><span class="lineno"> 884</span> <span class="keywordtype">int</span> posA = posB*-1;</div>
<div class="line"><a id="l00885" name="l00885"></a><span class="lineno"> 885</span> <span class="keywordflow">for</span>(i=0; (i+posA) &lt; sizeA &amp;&amp; i &lt; sizeB; ++i)</div>
<div class="line"><a id="l00886" name="l00886"></a><span class="lineno"> 886</span> {</div>
<div class="line"><a id="l00887" name="l00887"></a><span class="lineno"> 887</span> result += (vA[i+posA] - meanA) * (vB[i] - meanB);</div>
<div class="line"><a id="l00888" name="l00888"></a><span class="lineno"> 888</span> <span class="keywordflow">if</span>(method == UXCorrUnbiased || method == UXCovUnbiased)</div>
<div class="line"><a id="l00889" name="l00889"></a><span class="lineno"> 889</span> {</div>
<div class="line"><a id="l00890" name="l00890"></a><span class="lineno"> 890</span> ++den;</div>
<div class="line"><a id="l00891" name="l00891"></a><span class="lineno"> 891</span> }</div>
<div class="line"><a id="l00892" name="l00892"></a><span class="lineno"> 892</span> }</div>
<div class="line"><a id="l00893" name="l00893"></a><span class="lineno"> 893</span> }</div>
<div class="line"><a id="l00894" name="l00894"></a><span class="lineno"> 894</span> }</div>
<div class="line"><a id="l00895" name="l00895"></a><span class="lineno"> 895</span> <span class="keywordflow">return</span> result / den;</div>
<div class="line"><a id="l00896" name="l00896"></a><span class="lineno"> 896</span>}</div>
</div>
<div class="line"><a id="l00897" name="l00897"></a><span class="lineno"> 897</span> </div>
<div class="line"><a id="l00908" name="l00908"></a><span class="lineno"> 908</span><span class="keyword">template</span>&lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00909" data-start="{" data-end="}">
<div class="line"><a id="l00909" name="l00909"></a><span class="lineno"><a class="line" href="UMath_8h.html#a726f4662efa078be30f5320bbb994c7a"> 909</a></span><span class="keyword">inline</span> T <a class="code hl_function" href="UMath_8h.html#a913829c5228fabff88e4918111c1d424">uXMatch</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; vA, <span class="keyword">const</span> std::vector&lt;T&gt; &amp; vB, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> index, <a class="code hl_enumeration" href="UMath_8h.html#ae24d0d5b3a1d44ae8c5e50bb86a15cba">UXMatchMethod</a> method)</div>
<div class="line"><a id="l00910" name="l00910"></a><span class="lineno"> 910</span>{</div>
<div class="line"><a id="l00911" name="l00911"></a><span class="lineno"> 911</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#a913829c5228fabff88e4918111c1d424">uXMatch</a>(vA.data(), vB.data(), vA.size(), vB.size(), index, method);</div>
<div class="line"><a id="l00912" name="l00912"></a><span class="lineno"> 912</span>}</div>
</div>
<div class="line"><a id="l00913" name="l00913"></a><span class="lineno"> 913</span> </div>
<div class="foldopen" id="foldopen00919" data-start="{" data-end="}">
<div class="line"><a id="l00919" name="l00919"></a><span class="lineno"><a class="line" href="UMath_8h.html#add815f68a7ad0f18c667311826a85a52"> 919</a></span><span class="keyword">inline</span> std::vector&lt;float&gt; <a class="code hl_function" href="UMath_8h.html#add815f68a7ad0f18c667311826a85a52">uHamming</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> L)</div>
<div class="line"><a id="l00920" name="l00920"></a><span class="lineno"> 920</span>{</div>
<div class="line"><a id="l00921" name="l00921"></a><span class="lineno"> 921</span> std::vector&lt;float&gt; w(L);</div>
<div class="line"><a id="l00922" name="l00922"></a><span class="lineno"> 922</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> N = L-1;</div>
<div class="line"><a id="l00923" name="l00923"></a><span class="lineno"> 923</span> <span class="keywordtype">float</span> pi = 3.14159265f;</div>
<div class="line"><a id="l00924" name="l00924"></a><span class="lineno"> 924</span> <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> n=0; n&lt;N; ++n)</div>
<div class="line"><a id="l00925" name="l00925"></a><span class="lineno"> 925</span> {</div>
<div class="line"><a id="l00926" name="l00926"></a><span class="lineno"> 926</span> w[n] = 0.54f-0.46f*std::cos(2.0f*pi*<span class="keywordtype">float</span>(n)/<span class="keywordtype">float</span>(N));</div>
<div class="line"><a id="l00927" name="l00927"></a><span class="lineno"> 927</span> }</div>
<div class="line"><a id="l00928" name="l00928"></a><span class="lineno"> 928</span> <span class="keywordflow">return</span> w;</div>
<div class="line"><a id="l00929" name="l00929"></a><span class="lineno"> 929</span>}</div>
</div>
<div class="line"><a id="l00930" name="l00930"></a><span class="lineno"> 930</span> </div>
<div class="line"><a id="l00931" name="l00931"></a><span class="lineno"> 931</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="line"><a id="l00932" name="l00932"></a><span class="lineno"> 932</span><span class="keywordtype">bool</span> uIsInBounds(<span class="keyword">const</span> T&amp; value, <span class="keyword">const</span> T&amp; low, <span class="keyword">const</span> T&amp; high)</div>
<div class="line"><a id="l00933" name="l00933"></a><span class="lineno"> 933</span>{</div>
<div class="line"><a id="l00934" name="l00934"></a><span class="lineno"> 934</span> <span class="keywordflow">return</span> <a class="code hl_function" href="UMath_8h.html#abc9c1a676bf1b33a7d2bc0452a04fed3">uIsFinite</a>(value) &amp;&amp; !(value &lt; low) &amp;&amp; !(value &gt;= high);</div>
<div class="line"><a id="l00935" name="l00935"></a><span class="lineno"> 935</span>}</div>
<div class="line"><a id="l00936" name="l00936"></a><span class="lineno"> 936</span> </div>
<div class="line"><a id="l00937" name="l00937"></a><span class="lineno"> 937</span><span class="preprocessor">#endif </span><span class="comment">// UMATH_H</span></div>
<div class="ttc" id="aUMath_8h_html_a0ce262f6e3a80f7efafc73052600d309"><div class="ttname"><a href="UMath_8h.html#a0ce262f6e3a80f7efafc73052600d309">uIsNan</a></div><div class="ttdeci">bool uIsNan(const T &amp;value)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00040">UMath.h:40</a></div></div>
<div class="ttc" id="aUMath_8h_html_a1362990d0ce7f09ef735292cc480fa23"><div class="ttname"><a href="UMath_8h.html#a1362990d0ce7f09ef735292cc480fa23">uMax</a></div><div class="ttdeci">T uMax(const T *v, unsigned int size, unsigned int &amp;index)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00092">UMath.h:92</a></div></div>
<div class="ttc" id="aUMath_8h_html_a28770817787def2a9165ed070fa17a54"><div class="ttname"><a href="UMath_8h.html#a28770817787def2a9165ed070fa17a54">uMeanSquaredError</a></div><div class="ttdeci">T uMeanSquaredError(const T *x, unsigned int sizeX, const T *y, unsigned int sizeY)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00453">UMath.h:453</a></div></div>
<div class="ttc" id="aUMath_8h_html_a2f843f6f6bf0bd59b527aaa8c4731612"><div class="ttname"><a href="UMath_8h.html#a2f843f6f6bf0bd59b527aaa8c4731612">uNormalize</a></div><div class="ttdeci">std::vector&lt; T &gt; uNormalize(const std::vector&lt; T &gt; &amp;v)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00623">UMath.h:623</a></div></div>
<div class="ttc" id="aUMath_8h_html_a2feb416e779b88c4a6a849d609222c99"><div class="ttname"><a href="UMath_8h.html#a2feb416e779b88c4a6a849d609222c99">uLocalMaxima</a></div><div class="ttdeci">std::list&lt; unsigned int &gt; uLocalMaxima(const T *v, unsigned int size)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00645">UMath.h:645</a></div></div>
<div class="ttc" id="aUMath_8h_html_a601a7e18acb1512a60cd8ef248271c85"><div class="ttname"><a href="UMath_8h.html#a601a7e18acb1512a60cd8ef248271c85">uMax3</a></div><div class="ttdeci">T uMax3(const T &amp;a, const T &amp;b, const T &amp;c)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00078">UMath.h:78</a></div></div>
<div class="ttc" id="aUMath_8h_html_a6e100ed2031a529679a93b9b4bf818af"><div class="ttname"><a href="UMath_8h.html#a6e100ed2031a529679a93b9b4bf818af">uSign</a></div><div class="ttdeci">int uSign(const T &amp;v)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00300">UMath.h:300</a></div></div>
<div class="ttc" id="aUMath_8h_html_a7376638ab6047306c66a357153a47196"><div class="ttname"><a href="UMath_8h.html#a7376638ab6047306c66a357153a47196">uMean</a></div><div class="ttdeci">T uMean(const T *v, unsigned int size)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00399">UMath.h:399</a></div></div>
<div class="ttc" id="aUMath_8h_html_a81a1c24c0229e6c4dc8d8e09497ad114"><div class="ttname"><a href="UMath_8h.html#a81a1c24c0229e6c4dc8d8e09497ad114">uSum</a></div><div class="ttdeci">T uSum(const std::list&lt; T &gt; &amp;list)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00318">UMath.h:318</a></div></div>
<div class="ttc" id="aUMath_8h_html_a913829c5228fabff88e4918111c1d424"><div class="ttname"><a href="UMath_8h.html#a913829c5228fabff88e4918111c1d424">uXMatch</a></div><div class="ttdeci">std::vector&lt; T &gt; uXMatch(const T *vA, const T *vB, unsigned int sizeA, unsigned int sizeB, UXMatchMethod method)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00708">UMath.h:708</a></div></div>
<div class="ttc" id="aUMath_8h_html_aa37a66d04825a8834648dbe931bd57e6"><div class="ttname"><a href="UMath_8h.html#aa37a66d04825a8834648dbe931bd57e6">uMin</a></div><div class="ttdeci">T uMin(const T *v, unsigned int size, unsigned int &amp;index)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00157">UMath.h:157</a></div></div>
<div class="ttc" id="aUMath_8h_html_ab5e611c29307d8733cfaebc68bed1ac6"><div class="ttname"><a href="UMath_8h.html#ab5e611c29307d8733cfaebc68bed1ac6">uNorm</a></div><div class="ttdeci">T uNorm(const std::vector&lt; T &gt; &amp;v)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00573">UMath.h:573</a></div></div>
<div class="ttc" id="aUMath_8h_html_abc9c1a676bf1b33a7d2bc0452a04fed3"><div class="ttname"><a href="UMath_8h.html#abc9c1a676bf1b33a7d2bc0452a04fed3">uIsFinite</a></div><div class="ttdeci">bool uIsFinite(const T &amp;value)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00053">UMath.h:53</a></div></div>
<div class="ttc" id="aUMath_8h_html_ad653f26bbf08ce113b5a69a49bb4e41d"><div class="ttname"><a href="UMath_8h.html#ad653f26bbf08ce113b5a69a49bb4e41d">uMin3</a></div><div class="ttdeci">T uMin3(const T &amp;a, const T &amp;b, const T &amp;c)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00067">UMath.h:67</a></div></div>
<div class="ttc" id="aUMath_8h_html_add45b750bab7251ba196079289f17d7d"><div class="ttname"><a href="UMath_8h.html#add45b750bab7251ba196079289f17d7d">uVariance</a></div><div class="ttdeci">T uVariance(const T *v, unsigned int size, T meanV)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00489">UMath.h:489</a></div></div>
<div class="ttc" id="aUMath_8h_html_add815f68a7ad0f18c667311826a85a52"><div class="ttname"><a href="UMath_8h.html#add815f68a7ad0f18c667311826a85a52">uHamming</a></div><div class="ttdeci">std::vector&lt; float &gt; uHamming(unsigned int L)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00919">UMath.h:919</a></div></div>
<div class="ttc" id="aUMath_8h_html_ae24d0d5b3a1d44ae8c5e50bb86a15cba"><div class="ttname"><a href="UMath_8h.html#ae24d0d5b3a1d44ae8c5e50bb86a15cba">UXMatchMethod</a></div><div class="ttdeci">UXMatchMethod</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00696">UMath.h:696</a></div></div>
<div class="ttc" id="aUMath_8h_html_aeb6a6517666687e509617e6bfaf274d3"><div class="ttname"><a href="UMath_8h.html#aeb6a6517666687e509617e6bfaf274d3">uSumSquared</a></div><div class="ttdeci">T uSumSquared(const T *v, unsigned int size, T subtract=T())</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00367">UMath.h:367</a></div></div>
<div class="ttc" id="aUMath_8h_html_aeed14782b35224f70db6b5435dce06a1"><div class="ttname"><a href="UMath_8h.html#aeed14782b35224f70db6b5435dce06a1">uNormSquared</a></div><div class="ttdeci">T uNormSquared(const std::vector&lt; T &gt; &amp;v)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00558">UMath.h:558</a></div></div>
<div class="ttc" id="aUMath_8h_html_af9bfdafb6da16f9c6f4691a6d951538b"><div class="ttname"><a href="UMath_8h.html#af9bfdafb6da16f9c6f4691a6d951538b">uMinMax</a></div><div class="ttdeci">void uMinMax(const T *v, unsigned int size, T &amp;min, T &amp;max, unsigned int &amp;indexMin, unsigned int &amp;indexMax)</div><div class="ttdef"><b>Definition</b> <a href="UMath_8h_source.html#l00224">UMath.h:224</a></div></div>
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