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<div class="title">GenericPacketMath.h</div> </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com></span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#ifndef EIGEN_GENERIC_PACKET_MATH_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_GENERIC_PACKET_MATH_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="keyword">namespace </span>Eigen {</div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#ifndef EIGEN_DEBUG_ALIGNED_LOAD</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_DEBUG_ALIGNED_LOAD</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#ifndef EIGEN_DEBUG_UNALIGNED_LOAD</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_DEBUG_UNALIGNED_LOAD</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#ifndef EIGEN_DEBUG_ALIGNED_STORE</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_DEBUG_ALIGNED_STORE</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#ifndef EIGEN_DEBUG_UNALIGNED_STORE</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_DEBUG_UNALIGNED_STORE</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="keyword">struct </span>default_packet_traits</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> {</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  HasAdd = 1,</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  HasSub = 1,</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  HasMul = 1,</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  HasNegate = 1,</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  HasAbs = 1,</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  HasAbs2 = 1,</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  HasMin = 1,</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  HasMax = 1,</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  HasConj = 1,</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  HasSetLinear = 1,</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> </div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  HasDiv = 0,</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  HasSqrt = 0,</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  HasExp = 0,</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  HasLog = 0,</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  HasPow = 0,</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  HasSin = 0,</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  HasCos = 0,</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  HasTan = 0,</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  HasASin = 0,</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  HasACos = 0,</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  HasATan = 0</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  };</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span> };</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">template</span><<span class="keyword">typename</span> T> <span class="keyword">struct </span>packet_traits : default_packet_traits</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> {</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keyword">typedef</span> T type;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  Vectorizable = 0,</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  size = 1,</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  AlignedOnScalar = 0</div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  };</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  HasAdd = 0,</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  HasSub = 0,</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  HasMul = 0,</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  HasNegate = 0,</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  HasAbs = 0,</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  HasAbs2 = 0,</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  HasMin = 0,</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  HasMax = 0,</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  HasConj = 0,</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  HasSetLinear = 0</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  };</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> };</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> padd(<span class="keyword">const</span> Packet& a,</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">const</span> Packet& b) { <span class="keywordflow">return</span> a+b; }</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> psub(<span class="keyword">const</span> Packet& a,</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keyword">const</span> Packet& b) { <span class="keywordflow">return</span> a-b; }</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> pnegate(<span class="keyword">const</span> Packet& a) { <span class="keywordflow">return</span> -a; }</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> pconj(<span class="keyword">const</span> Packet& a) { <span class="keywordflow">return</span> numext::conj(a); }</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> pmul(<span class="keyword">const</span> Packet& a,</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keyword">const</span> Packet& b) { <span class="keywordflow">return</span> a*b; }</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> pdiv(<span class="keyword">const</span> Packet& a,</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keyword">const</span> Packet& b) { <span class="keywordflow">return</span> a/b; }</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> pmin(<span class="keyword">const</span> Packet& a,</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">const</span> Packet& b) { <span class="keyword">using</span> std::min; <span class="keywordflow">return</span> (min)(a, b); }</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> pmax(<span class="keyword">const</span> Packet& a,</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keyword">const</span> Packet& b) { <span class="keyword">using</span> std::max; <span class="keywordflow">return</span> (max)(a, b); }</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> pabs(<span class="keyword">const</span> Packet& a) { <span class="keyword">using</span> std::abs; <span class="keywordflow">return</span> abs(a); }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> pand(<span class="keyword">const</span> Packet& a, <span class="keyword">const</span> Packet& b) { <span class="keywordflow">return</span> a & b; }</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> por(<span class="keyword">const</span> Packet& a, <span class="keyword">const</span> Packet& b) { <span class="keywordflow">return</span> a | b; }</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> pxor(<span class="keyword">const</span> Packet& a, <span class="keyword">const</span> Packet& b) { <span class="keywordflow">return</span> a ^ b; }</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> pandnot(<span class="keyword">const</span> Packet& a, <span class="keyword">const</span> Packet& b) { <span class="keywordflow">return</span> a & (!b); }</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> </div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> pload(<span class="keyword">const</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type* from) { <span class="keywordflow">return</span> *from; }</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> ploadu(<span class="keyword">const</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type* from) { <span class="keywordflow">return</span> *from; }</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> ploaddup(<span class="keyword">const</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type* from) { <span class="keywordflow">return</span> *from; }</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> </div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> pset1(<span class="keyword">const</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type& a) { <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar> <span class="keyword">inline</span> <span class="keyword">typename</span> packet_traits<Scalar>::type</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> plset(<span class="keyword">const</span> Scalar& a) { <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Packet> <span class="keyword">inline</span> <span class="keywordtype">void</span> pstore(Scalar* to, <span class="keyword">const</span> Packet& from)</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> { (*to) = from; }</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Packet> <span class="keyword">inline</span> <span class="keywordtype">void</span> pstoreu(Scalar* to, <span class="keyword">const</span> Packet& from)</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> { (*to) = from; }</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> </div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar> <span class="keyword">inline</span> <span class="keywordtype">void</span> prefetch(<span class="keyword">const</span> Scalar* addr)</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> {</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="preprocessor">#if !defined(_MSC_VER)</span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="preprocessor"></span>__builtin_prefetch(addr);</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="preprocessor"></span>}</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> </div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type pfirst(<span class="keyword">const</span> Packet& a)</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> { <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> preduxp(<span class="keyword">const</span> Packet* vecs) { <span class="keywordflow">return</span> vecs[0]; }</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> </div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type predux(<span class="keyword">const</span> Packet& a)</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> { <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type predux_mul(<span class="keyword">const</span> Packet& a)</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span> { <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type predux_min(<span class="keyword">const</span> Packet& a)</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span> { <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span> </div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type predux_max(<span class="keyword">const</span> Packet& a)</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> { <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> </div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet preverse(<span class="keyword">const</span> Packet& a)</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> { <span class="keywordflow">return</span> a; }</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> </div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet pcplxflip(<span class="keyword">const</span> Packet& a)</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> {</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="comment">// FIXME: uncomment the following in case we drop the internal imag and real functions.</span></div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> <span class="comment">// using std::imag;</span></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="comment">// using std::real;</span></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keywordflow">return</span> Packet(imag(a),real(a));</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> }</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <span class="comment">/**************************</span></div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="comment">* Special math functions</span></div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> <span class="comment">***************************/</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> </div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> Packet psin(<span class="keyword">const</span> Packet& a) { <span class="keyword">using</span> std::sin; <span class="keywordflow">return</span> sin(a); }</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> Packet pcos(<span class="keyword">const</span> Packet& a) { <span class="keyword">using</span> std::cos; <span class="keywordflow">return</span> cos(a); }</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> Packet ptan(<span class="keyword">const</span> Packet& a) { <span class="keyword">using</span> std::tan; <span class="keywordflow">return</span> tan(a); }</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> </div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> Packet pasin(<span class="keyword">const</span> Packet& a) { <span class="keyword">using</span> std::asin; <span class="keywordflow">return</span> asin(a); }</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span> </div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> Packet pacos(<span class="keyword">const</span> Packet& a) { <span class="keyword">using</span> std::acos; <span class="keywordflow">return</span> acos(a); }</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> </div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> Packet pexp(<span class="keyword">const</span> Packet& a) { <span class="keyword">using</span> std::exp; <span class="keywordflow">return</span> exp(a); }</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> </div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> Packet plog(<span class="keyword">const</span> Packet& a) { <span class="keyword">using</span> std::log; <span class="keywordflow">return</span> log(a); }</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span> </div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> Packet psqrt(<span class="keyword">const</span> Packet& a) { <span class="keyword">using</span> std::sqrt; <span class="keywordflow">return</span> sqrt(a); }</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment">/***************************************************************************</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment">* The following functions might not have to be overwritten for vectorized types</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment">***************************************************************************/</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="comment">// NOTE: this function must really be templated on the packet type (think about different packet types for the same scalar type)</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> pstore1(<span class="keyword">typename</span> unpacket_traits<Packet>::type* to, <span class="keyword">const</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type& a)</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> {</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  pstore(to, pset1<Packet>(a));</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> }</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet> <span class="keyword">inline</span> Packet</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> pmadd(<span class="keyword">const</span> Packet& a,</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keyword">const</span> Packet& b,</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keyword">const</span> Packet& c)</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> { <span class="keywordflow">return</span> padd(pmul(a, b),c); }</div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> </div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> <span class="keyword">template</span><<span class="keyword">typename</span> Packet, <span class="keywordtype">int</span> LoadMode></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> <span class="keyword">inline</span> Packet ploadt(<span class="keyword">const</span> <span class="keyword">typename</span> unpacket_traits<Packet>::type* from)</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> {</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keywordflow">if</span>(LoadMode == <a class="code" href="group__enums.html#gga456ac33d49271d3e2c371351cd1d6371ad5380ca00f3d74b38593adf8a0d06d3e">Aligned</a>)</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keywordflow">return</span> pload<Packet>(from);</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <span class="keywordflow">return</span> ploadu<Packet>(from);</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> }</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> </div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="keyword">template</span><<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Packet, <span class="keywordtype">int</span> LoadMode></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> pstoret(Scalar* to, <span class="keyword">const</span> Packet& from)</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> {</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keywordflow">if</span>(LoadMode == <a class="code" href="group__enums.html#gga456ac33d49271d3e2c371351cd1d6371ad5380ca00f3d74b38593adf8a0d06d3e">Aligned</a>)</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  pstore(to, from);</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  pstoreu(to, from);</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span> }</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> </div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span> <span class="keyword">template</span><<span class="keywordtype">int</span> Offset,<span class="keyword">typename</span> PacketType></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span> <span class="keyword">struct </span>palign_impl</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span> {</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="comment">// by default data are aligned, so there is nothing to be done :)</span></div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(PacketType&, <span class="keyword">const</span> PacketType&) {}</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> };</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span> </div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="keyword">template</span><<span class="keywordtype">int</span> Offset,<span class="keyword">typename</span> PacketType></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> palign(PacketType& first, <span class="keyword">const</span> PacketType& second)</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> {</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  palign_impl<Offset,PacketType>::run(first,second);</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> }</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span> </div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> <span class="comment">/***************************************************************************</span></div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span> <span class="comment">* Fast complex products (GCC generates a function call which is very slow)</span></div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span> <span class="comment">***************************************************************************/</span></div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span> </div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span> <span class="keyword">template</span><> <span class="keyword">inline</span> std::complex<float> pmul(<span class="keyword">const</span> std::complex<float>& a, <span class="keyword">const</span> std::complex<float>& b)</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span> { <span class="keywordflow">return</span> std::complex<float>(real(a)*real(b) - imag(a)*imag(b), imag(a)*real(b) + real(a)*imag(b)); }</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span> </div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> <span class="keyword">template</span><> <span class="keyword">inline</span> std::complex<double> pmul(<span class="keyword">const</span> std::complex<double>& a, <span class="keyword">const</span> std::complex<double>& b)</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span> { <span class="keywordflow">return</span> std::complex<double>(real(a)*real(b) - imag(a)*imag(b), imag(a)*real(b) + real(a)*imag(b)); }</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span> </div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span> </div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> </div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span> <span class="preprocessor">#endif // EIGEN_GENERIC_PACKET_MATH_H</span></div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="preprocessor"></span></div>
<div class="ttc" id="group__enums_html_gga456ac33d49271d3e2c371351cd1d6371ad5380ca00f3d74b38593adf8a0d06d3e"><div class="ttname"><a href="group__enums.html#gga456ac33d49271d3e2c371351cd1d6371ad5380ca00f3d74b38593adf8a0d06d3e">Eigen::Aligned</a></div><div class="ttdef"><b>Definition:</b> Constants.h:194</div></div>
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