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<a href="bilininteg__diffusion__pa_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright (c) 2010-2020, Lawrence Livermore National Security, LLC. Produced</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// at the Lawrence Livermore National Laboratory. All Rights reserved. See files</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// LICENSE and NOTICE for details. LLNL-CODE-806117.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">//</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// This file is part of the MFEM library. For more information and source code</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// availability visit https://mfem.org.</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// MFEM is free software; you can redistribute it and/or modify it under the</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// terms of the BSD-3 license. We welcome feedback and contributions, see file</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// CONTRIBUTING.md for details.</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include "../general/forall.hpp"</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include "<a class="code" href="bilininteg_8hpp.html">bilininteg.hpp</a>"</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include "<a class="code" href="gridfunc_8hpp.html">gridfunc.hpp</a>"</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#include "libceed/diffusion.hpp"</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="keyword">using namespace </span>std;</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="keyword">namespace </span>mfem</div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> {</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment">// PA Diffusion Integrator</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment">// OCCA 2D Assemble kernel</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#ifdef MFEM_USE_OCCA</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor"></span><span class="keyword">static</span> <span class="keywordtype">void</span> OccaPADiffusionSetup2D(<span class="keyword">const</span> <span class="keywordtype">int</span> D1D,</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D,</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keyword">const</span> Array<double> &W,</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">const</span> Vector &J,</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keyword">const</span> Vector &C,</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  Vector &op)</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> {</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  occa::properties props;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  props[<span class="stringliteral">"defines/D1D"</span>] = D1D;</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  props[<span class="stringliteral">"defines/Q1D"</span>] = Q1D;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keyword">const</span> occa::memory o_W = <a class="code" href="namespacemfem.html#aed75f1f279fb3fb0f5a2fe7bf67ef8da">OccaMemoryRead</a>(W.GetMemory(), W.Size());</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keyword">const</span> occa::memory o_J = <a class="code" href="namespacemfem.html#aed75f1f279fb3fb0f5a2fe7bf67ef8da">OccaMemoryRead</a>(J.GetMemory(), J.Size());</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keyword">const</span> occa::memory o_C = <a class="code" href="namespacemfem.html#aed75f1f279fb3fb0f5a2fe7bf67ef8da">OccaMemoryRead</a>(C.GetMemory(), C.Size());</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  occa::memory o_op = <a class="code" href="namespacemfem.html#a3fc02722e33b6278ad9ba0adb6103b28">OccaMemoryWrite</a>(op.GetMemory(), op.Size());</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> const_c = C.Size() == 1;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keyword">const</span> <a class="code" href="namespacemfem.html#aee28a617b270b5cab8c55842fbae0772">occa_id_t</a> <span class="keywordtype">id</span> = std::make_pair(D1D,Q1D);</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keyword">static</span> <a class="code" href="namespacemfem.html#aaa76e0f32808d390b93061dd2474f7f8">occa_kernel_t</a> OccaDiffSetup2D_ker;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordflow">if</span> (OccaDiffSetup2D_ker.find(<span class="keywordtype">id</span>) == OccaDiffSetup2D_ker.end())</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="keyword">const</span> occa::kernel DiffusionSetup2D =</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="namespacemfem.html#aed9860f61e3fdbe69a8486142e8b56ae">mfem::OccaDev</a>().buildKernel(<span class="stringliteral">"occa://mfem/fem/occa.okl"</span>,</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="stringliteral">"DiffusionSetup2D"</span>, props);</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  OccaDiffSetup2D_ker.emplace(<span class="keywordtype">id</span>, DiffusionSetup2D);</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  }</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  OccaDiffSetup2D_ker.at(<span class="keywordtype">id</span>)(NE, o_W, o_J, o_C, o_op, const_c);</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> }</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">static</span> <span class="keywordtype">void</span> OccaPADiffusionSetup3D(<span class="keyword">const</span> <span class="keywordtype">int</span> D1D,</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D,</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">const</span> Array<double> &W,</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keyword">const</span> Vector &J,</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">const</span> Vector &C,</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  Vector &op)</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>  occa::properties props;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  props[<span class="stringliteral">"defines/D1D"</span>] = D1D;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  props[<span class="stringliteral">"defines/Q1D"</span>] = Q1D;</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">const</span> occa::memory o_W = <a class="code" href="namespacemfem.html#aed75f1f279fb3fb0f5a2fe7bf67ef8da">OccaMemoryRead</a>(W.GetMemory(), W.Size());</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">const</span> occa::memory o_J = <a class="code" href="namespacemfem.html#aed75f1f279fb3fb0f5a2fe7bf67ef8da">OccaMemoryRead</a>(J.GetMemory(), J.Size());</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keyword">const</span> occa::memory o_C = <a class="code" href="namespacemfem.html#aed75f1f279fb3fb0f5a2fe7bf67ef8da">OccaMemoryRead</a>(C.GetMemory(), C.Size());</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  occa::memory o_op = <a class="code" href="namespacemfem.html#a3fc02722e33b6278ad9ba0adb6103b28">OccaMemoryWrite</a>(op.GetMemory(), op.Size());</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> const_c = C.Size() == 1;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="keyword">const</span> <a class="code" href="namespacemfem.html#aee28a617b270b5cab8c55842fbae0772">occa_id_t</a> <span class="keywordtype">id</span> = std::make_pair(D1D,Q1D);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keyword">static</span> <a class="code" href="namespacemfem.html#aaa76e0f32808d390b93061dd2474f7f8">occa_kernel_t</a> OccaDiffSetup3D_ker;</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keywordflow">if</span> (OccaDiffSetup3D_ker.find(<span class="keywordtype">id</span>) == OccaDiffSetup3D_ker.end())</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  {</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keyword">const</span> occa::kernel DiffusionSetup3D =</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="namespacemfem.html#aed9860f61e3fdbe69a8486142e8b56ae">mfem::OccaDev</a>().buildKernel(<span class="stringliteral">"occa://mfem/fem/occa.okl"</span>,</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="stringliteral">"DiffusionSetup3D"</span>, props);</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  OccaDiffSetup3D_ker.emplace(<span class="keywordtype">id</span>, DiffusionSetup3D);</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>  OccaDiffSetup3D_ker.at(<span class="keywordtype">id</span>)(NE, o_W, o_J, o_C, o_op, const_c);</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="preprocessor">#endif // MFEM_USE_OCCA</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="namespacemfem.html#a99f85c31cdc987a1c0102d7b6b4ab8f7"> 84</a></span> <span class="keywordtype">void</span> <a class="code" href="namespacemfem.html#a99f85c31cdc987a1c0102d7b6b4ab8f7">PADiffusionSetup2D<2></a>(<span class="keyword">const</span> <span class="keywordtype">int</span> Q1D,</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> coeffDim,</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Array.html">Array<double></a> &w,</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Vector.html">Vector</a> &j,</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Vector.html">Vector</a> &c,</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <a class="code" href="classmfem_1_1Vector.html">Vector</a> &d)</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>  <span class="keyword">const</span> <span class="keywordtype">bool</span> symmetric = (coeffDim != 4);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> const_c = c.Size() == 1;</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  MFEM_VERIFY(coeffDim < 3 ||</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  !const_c, <span class="stringliteral">"Constant matrix coefficient not supported"</span>);</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">const</span> <span class="keyword">auto</span> W = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(w.Read(), Q1D,Q1D);</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keyword">const</span> <span class="keyword">auto</span> J = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(j.Read(), Q1D,Q1D,2,2,NE);</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keyword">const</span> <span class="keyword">auto</span> C = const_c ? <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(c.Read(), 1,1,1,1) :</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(c.Read(), coeffDim,Q1D,Q1D,NE);</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">auto</span> D = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(d.Write(), Q1D,Q1D, symmetric ? 3 : 4, NE);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  MFEM_FORALL_2D(e, NE, Q1D,Q1D,1,</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  {</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  MFEM_FOREACH_THREAD(qx,x,Q1D)</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  {</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  MFEM_FOREACH_THREAD(qy,y,Q1D)</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  {</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J11 = J(qx,qy,0,0,e);</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J21 = J(qx,qy,1,0,e);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J12 = J(qx,qy,0,1,e);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J22 = J(qx,qy,1,1,e);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> w_detJ = W(qx,qy) / ((J11*J22)-(J21*J12));</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordflow">if</span> (coeffDim == 3 || coeffDim == 4) <span class="comment">// Matrix coefficient</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  {</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// First compute entries of R = MJ^{-T}, without det J factor.</span></div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M11 = C(0,qx,qy,e);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M12 = C(1,qx,qy,e);</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M21 = symmetric ? M12 : C(2,qx,qy,e);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M22 = symmetric ? C(2,qx,qy,e) : C(3,qx,qy,e);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R11 = M11*J22 - M12*J12;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R21 = M21*J22 - M22*J12;</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R12 = -M11*J21 + M12*J11;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R22 = -M21*J21 + M22*J11;</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> </div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="comment">// Now set y to J^{-1}R.</span></div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  D(qx,qy,0,e) = w_detJ * ( J22*R11 - J12*R21); <span class="comment">// 1,1</span></div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  D(qx,qy,1,e) = w_detJ * (-J21*R11 + J11*R21); <span class="comment">// 2,1</span></div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  D(qx,qy,2,e) = w_detJ * (symmetric ? (-J21*R12 + J11*R22) :</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  (J22*R12 - J12*R22)); <span class="comment">// 2,2 or 1,2</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">if</span> (!symmetric)</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  {</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  D(qx,qy,3,e) = w_detJ * (-J21*R12 + J11*R22); <span class="comment">// 2,2</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  }</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">else</span> <span class="comment">// Vector or scalar coefficient</span></div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  {</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> C1 = const_c ? C(0,0,0,0) : C(0,qx,qy,e);</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> C2 = const_c ? C(0,0,0,0) :</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  (coeffDim == 2 ? C(1,qx,qy,e) : C(0,qx,qy,e));</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  D(qx,qy,0,e) = w_detJ * (C2*J12*J12 + C1*J22*J22); <span class="comment">// 1,1</span></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  D(qx,qy,1,e) = -w_detJ * (C2*J12*J11 + C1*J22*J21); <span class="comment">// 1,2</span></div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  D(qx,qy,2,e) = w_detJ * (C2*J11*J11 + C1*J21*J21); <span class="comment">// 2,2</span></div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  }</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  }</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  }</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  });</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> }</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="comment">// PA Diffusion Assemble 2D kernel with 3D node coords</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="keyword">template</span><></div>
<div class="line"><a name="l00151"></a><span class="lineno"><a class="line" href="namespacemfem.html#abc20df6e9ec7f8f97a579274af032aca"> 151</a></span> <span class="keywordtype">void</span> <a class="code" href="namespacemfem.html#abc20df6e9ec7f8f97a579274af032aca">PADiffusionSetup2D<3></a>(<span class="keyword">const</span> <span class="keywordtype">int</span> Q1D,</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> coeffDim,</div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Array.html">Array<double></a> &w,</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Vector.html">Vector</a> &j,</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Vector.html">Vector</a> &c,</div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="classmfem_1_1Vector.html">Vector</a> &d)</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> {</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  MFEM_VERIFY(coeffDim == 1, <span class="stringliteral">"Matrix and vector coefficients not supported"</span>);</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  constexpr <span class="keywordtype">int</span> <a class="code" href="minimal-surface_8cpp.html#a5c04aa1c27b748c112473234c95721c8">DIM</a> = 2;</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  constexpr <span class="keywordtype">int</span> <a class="code" href="minimal-surface_8cpp.html#a292588313b56782618e54c6a48e27bfa">SDIM</a> = 3;</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> const_c = c.Size() == 1;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keyword">const</span> <span class="keyword">auto</span> W = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(w.Read(), Q1D,Q1D);</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keyword">const</span> <span class="keyword">auto</span> J = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(j.Read(), Q1D,Q1D,<a class="code" href="minimal-surface_8cpp.html#a292588313b56782618e54c6a48e27bfa">SDIM</a>,<a class="code" href="minimal-surface_8cpp.html#a5c04aa1c27b748c112473234c95721c8">DIM</a>,NE);</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keyword">const</span> <span class="keyword">auto</span> C = const_c ? <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(c.Read(), 1,1,1) :</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(c.Read(), Q1D,Q1D,NE);</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keyword">auto</span> D = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(d.Write(), Q1D,Q1D, 3, NE);</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  MFEM_FORALL_2D(e, NE, Q1D,Q1D,1,</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  {</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  MFEM_FOREACH_THREAD(qx,x,Q1D)</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  {</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  MFEM_FOREACH_THREAD(qy,y,Q1D)</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  {</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> wq = W(qx,qy);</div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J11 = J(qx,qy,0,0,e);</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J21 = J(qx,qy,1,0,e);</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J31 = J(qx,qy,2,0,e);</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J12 = J(qx,qy,0,1,e);</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J22 = J(qx,qy,1,1,e);</div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J32 = J(qx,qy,2,1,e);</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> E = J11*J11 + J21*J21 + J31*J31;</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> G = J12*J12 + J22*J22 + J32*J32;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> F = J11*J12 + J21*J22 + J31*J32;</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> iw = 1.0 / sqrt(E*G - F*F);</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> coeff = const_c ? C(0,0,0) : C(qx,qy,e);</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="ex15_8cpp.html#adeedc97114c5a704906c8e26bdbd2451">alpha</a> = wq * coeff * iw;</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  D(qx,qy,0,e) = alpha * G; <span class="comment">// 1,1</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  D(qx,qy,1,e) = -alpha * F; <span class="comment">// 1,2</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  D(qx,qy,2,e) = alpha * E; <span class="comment">// 2,2</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  }</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  }</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  });</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> }</div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> </div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment">// PA Diffusion Assemble 3D kernel</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"><a class="line" href="namespacemfem.html#a5bd7d1e4a4816dbfcc556f042ea7aba3"> 196</a></span> <span class="keywordtype">void</span> <a class="code" href="namespacemfem.html#a5bd7d1e4a4816dbfcc556f042ea7aba3">PADiffusionSetup3D</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> Q1D,</div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> coeffDim,</div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Array.html">Array<double></a> &w,</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Vector.html">Vector</a> &j,</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Vector.html">Vector</a> &c,</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  <a class="code" href="classmfem_1_1Vector.html">Vector</a> &d)</div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> {</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> symmetric = (coeffDim != 9);</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> const_c = c.<a class="code" href="classmfem_1_1Vector.html#ae46321466f5d68a25b6d8264bc1b08b5">Size</a>() == 1;</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  MFEM_VERIFY(coeffDim < 6 ||</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  !const_c, <span class="stringliteral">"Constant matrix coefficient not supported"</span>);</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="keyword">const</span> <span class="keyword">auto</span> W = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(w.<a class="code" href="classmfem_1_1Array.html#a36c78fb2a325fa53845d64a4ae91202d">Read</a>(), Q1D,Q1D,Q1D);</div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keyword">const</span> <span class="keyword">auto</span> J = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(j.<a class="code" href="classmfem_1_1Vector.html#afb0fdfe8ce56af76f247c402c313cd8b">Read</a>(), Q1D,Q1D,Q1D,3,3,NE);</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keyword">const</span> <span class="keyword">auto</span> C = const_c ? <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(c.<a class="code" href="classmfem_1_1Vector.html#afb0fdfe8ce56af76f247c402c313cd8b">Read</a>(), 1,1,1,1,1) :</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(c.<a class="code" href="classmfem_1_1Vector.html#afb0fdfe8ce56af76f247c402c313cd8b">Read</a>(), coeffDim,Q1D,Q1D,Q1D,NE);</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keyword">auto</span> D = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(d.<a class="code" href="classmfem_1_1Vector.html#a3c350a4af2f10c0c1889eeeb0985bb88">Write</a>(), Q1D,Q1D,Q1D, symmetric ? 6 : 9, NE);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  MFEM_FORALL_3D(e, NE, Q1D, Q1D, Q1D,</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  {</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  MFEM_FOREACH_THREAD(qx,x,Q1D)</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  {</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  MFEM_FOREACH_THREAD(qy,y,Q1D)</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>  MFEM_FOREACH_THREAD(qz,z,Q1D)</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  {</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J11 = J(qx,qy,qz,0,0,e);</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J21 = J(qx,qy,qz,1,0,e);</div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J31 = J(qx,qy,qz,2,0,e);</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J12 = J(qx,qy,qz,0,1,e);</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J22 = J(qx,qy,qz,1,1,e);</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J32 = J(qx,qy,qz,2,1,e);</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J13 = J(qx,qy,qz,0,2,e);</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J23 = J(qx,qy,qz,1,2,e);</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> J33 = J(qx,qy,qz,2,2,e);</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> detJ = J11 * (J22 * J33 - J32 * J23) -</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="comment">/* */</span> J21 * (J12 * J33 - J32 * J13) +</div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="comment">/* */</span> J31 * (J12 * J23 - J22 * J13);</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> w_detJ = W(qx,qy,qz) / detJ;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="comment">// adj(J)</span></div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> A11 = (J22 * J33) - (J23 * J32);</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> A12 = (J32 * J13) - (J12 * J33);</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> A13 = (J12 * J23) - (J22 * J13);</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> A21 = (J31 * J23) - (J21 * J33);</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> A22 = (J11 * J33) - (J13 * J31);</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> A23 = (J21 * J13) - (J11 * J23);</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> A31 = (J21 * J32) - (J31 * J22);</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> A32 = (J31 * J12) - (J11 * J32);</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> A33 = (J11 * J22) - (J12 * J21);</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> </div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="keywordflow">if</span> (coeffDim == 6 || coeffDim == 9) <span class="comment">// Matrix coefficient version</span></div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  {</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="comment">// Compute entries of R = MJ^{-T} = M adj(J)^T, without det J.</span></div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M11 = C(0, qx,qy,qz, e);</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M12 = C(1, qx,qy,qz, e);</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M13 = C(2, qx,qy,qz, e);</div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M21 = (!symmetric) ? C(3, qx,qy,qz, e) : M12;</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M22 = (!symmetric) ? C(4, qx,qy,qz, e) : C(3, qx,qy,qz, e);</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M23 = (!symmetric) ? C(5, qx,qy,qz, e) : C(4, qx,qy,qz, e);</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M31 = (!symmetric) ? C(6, qx,qy,qz, e) : M13;</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M32 = (!symmetric) ? C(7, qx,qy,qz, e) : M23;</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> M33 = (!symmetric) ? C(8, qx,qy,qz, e) : C(5, qx,qy,qz, e);</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> </div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R11 = M11*A11 + M12*A12 + M13*A13;</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R12 = M11*A21 + M12*A22 + M13*A23;</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R13 = M11*A31 + M12*A32 + M13*A33;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R21 = M21*A11 + M22*A12 + M23*A13;</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R22 = M21*A21 + M22*A22 + M23*A23;</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R23 = M21*A31 + M22*A32 + M23*A33;</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R31 = M31*A11 + M32*A12 + M33*A13;</div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R32 = M31*A21 + M32*A22 + M33*A23;</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R33 = M31*A31 + M32*A32 + M33*A33;</div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> </div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="comment">// Now set D to J^{-1} R = adj(J) R</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  D(qx,qy,qz,0,e) = w_detJ * (A11*R11 + A12*R21 + A13*R31); <span class="comment">// 1,1</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D12 = w_detJ * (A11*R12 + A12*R22 + A13*R32);</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  D(qx,qy,qz,1,e) = D12; <span class="comment">// 1,2</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  D(qx,qy,qz,2,e) = w_detJ * (A11*R13 + A12*R23 + A13*R33); <span class="comment">// 1,3</span></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>  <span class="keyword">const</span> <span class="keywordtype">double</span> D21 = w_detJ * (A21*R11 + A22*R21 + A23*R31);</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D22 = w_detJ * (A21*R12 + A22*R22 + A23*R32);</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D23 = w_detJ * (A21*R13 + A22*R23 + A23*R33);</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> </div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D33 = w_detJ * (A31*R13 + A32*R23 + A33*R33);</div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> </div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  D(qx,qy,qz,3,e) = symmetric ? D22 : D21; <span class="comment">// 2,2 or 2,1</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  D(qx,qy,qz,4,e) = symmetric ? D23 : D22; <span class="comment">// 2,3 or 2,2</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  D(qx,qy,qz,5,e) = symmetric ? D33 : D23; <span class="comment">// 3,3 or 2,3</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span> </div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="keywordflow">if</span> (!symmetric)</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  {</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  D(qx,qy,qz,6,e) = w_detJ * (A31*R11 + A32*R21 + A33*R31); <span class="comment">// 3,1</span></div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  D(qx,qy,qz,7,e) = w_detJ * (A31*R12 + A32*R22 + A33*R32); <span class="comment">// 3,2</span></div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  D(qx,qy,qz,8,e) = D33; <span class="comment">// 3,3</span></div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  }</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  }</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <span class="keywordflow">else</span> <span class="comment">// Vector or scalar coefficient version</span></div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  {</div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> C1 = const_c ? C(0,0,0,0,0) : C(0,qx,qy,qz,e);</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> C2 = const_c ? C(0,0,0,0,0) :</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  (coeffDim == 3 ? C(1,qx,qy,qz,e) : C(0,qx,qy,qz,e));</div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> C3 = const_c ? C(0,0,0,0,0) :</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  (coeffDim == 3 ? C(2,qx,qy,qz,e) : C(0,qx,qy,qz,e));</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> </div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="comment">// detJ J^{-1} J^{-T} = (1/detJ) adj(J) adj(J)^T</span></div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  D(qx,qy,qz,0,e) = w_detJ * (C1*A11*A11 + C2*A12*A12 + C3*A13*A13); <span class="comment">// 1,1</span></div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  D(qx,qy,qz,1,e) = w_detJ * (C1*A11*A21 + C2*A12*A22 + C3*A13*A23); <span class="comment">// 2,1</span></div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  D(qx,qy,qz,2,e) = w_detJ * (C1*A11*A31 + C2*A12*A32 + C3*A13*A33); <span class="comment">// 3,1</span></div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  D(qx,qy,qz,3,e) = w_detJ * (C1*A21*A21 + C2*A22*A22 + C3*A23*A23); <span class="comment">// 2,2</span></div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  D(qx,qy,qz,4,e) = w_detJ * (C1*A21*A31 + C2*A22*A32 + C3*A23*A33); <span class="comment">// 3,2</span></div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  D(qx,qy,qz,5,e) = w_detJ * (C1*A31*A31 + C2*A32*A32 + C3*A33*A33); <span class="comment">// 3,3</span></div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  }</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  }</div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  }</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>  });</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span> }</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> <span class="keyword">static</span> <span class="keywordtype">void</span> PADiffusionSetup(<span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>,</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> sdim,</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> D1D,</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D,</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> coeffDim,</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  <span class="keyword">const</span> Array<double> &W,</div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="keyword">const</span> Vector &J,</div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keyword">const</span> Vector &C,</div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  Vector &D)</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> {</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  <span class="keywordflow">if</span> (dim == 1) { MFEM_ABORT(<span class="stringliteral">"dim==1 not supported in PADiffusionSetup"</span>); }</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="keywordflow">if</span> (dim == 2)</div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  {</div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> <span class="preprocessor">#ifdef MFEM_USE_OCCA</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> <span class="preprocessor"></span> <span class="keywordflow">if</span> (<a class="code" href="namespacemfem.html#abfd4a63674216cb34759489a8d76196b">DeviceCanUseOcca</a>())</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  {</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  OccaPADiffusionSetup2D(D1D, Q1D, NE, W, J, C, D);</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  }</div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> <span class="preprocessor">#else</span></div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span> <span class="preprocessor"></span> MFEM_CONTRACT_VAR(D1D);</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span> <span class="preprocessor">#endif // MFEM_USE_OCCA</span></div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span> <span class="preprocessor"></span> <span class="keywordflow">if</span> (sdim == 2) { <a class="code" href="namespacemfem.html#a99f85c31cdc987a1c0102d7b6b4ab8f7">PADiffusionSetup2D<2></a>(Q1D, coeffDim, NE, W, J, C, D); }</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="keywordflow">if</span> (sdim == 3) { <a class="code" href="namespacemfem.html#abc20df6e9ec7f8f97a579274af032aca">PADiffusionSetup2D<3></a>(Q1D, coeffDim, NE, W, J, C, D); }</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="keywordflow">if</span> (dim == 3)</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  {</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span> <span class="preprocessor">#ifdef MFEM_USE_OCCA</span></div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span> <span class="preprocessor"></span> <span class="keywordflow">if</span> (<a class="code" href="namespacemfem.html#abfd4a63674216cb34759489a8d76196b">DeviceCanUseOcca</a>())</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  {</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  OccaPADiffusionSetup3D(D1D, Q1D, NE, W, J, C, D);</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <span class="keywordflow">return</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="preprocessor">#endif // MFEM_USE_OCCA</span></div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> <span class="preprocessor"></span> <a class="code" href="namespacemfem.html#a5bd7d1e4a4816dbfcc556f042ea7aba3">PADiffusionSetup3D</a>(Q1D, coeffDim, NE, W, J, C, D);</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  }</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span> }</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> </div>
<div class="line"><a name="l00352"></a><span class="lineno"><a class="line" href="classmfem_1_1DiffusionIntegrator.html#a062560f21e4d953119ba07fe2f577ccd"> 352</a></span> <span class="keywordtype">void</span> DiffusionIntegrator::AssemblePA(<span class="keyword">const</span> <a class="code" href="classmfem_1_1FiniteElementSpace.html">FiniteElementSpace</a> &fes)</div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span> {</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="comment">// Assuming the same element type</span></div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  fespace = &fes;</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <a class="code" href="classmfem_1_1Mesh.html">Mesh</a> *mesh = fes.<a class="code" href="classmfem_1_1FiniteElementSpace.html#a103a8ea2e2ec93e0fba94cfb7c0b1111">GetMesh</a>();</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordflow">if</span> (mesh-><a class="code" href="classmfem_1_1Mesh.html#af1d1c5110a2cd10105c3ae093c9f7b51">GetNE</a>() == 0) { <span class="keywordflow">return</span>; }</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1FiniteElement.html">FiniteElement</a> &el = *fes.<a class="code" href="classmfem_1_1FiniteElementSpace.html#a28ed193224e108a8616e62843d507836">GetFE</a>(0);</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1IntegrationRule.html">IntegrationRule</a> *ir = IntRule ? IntRule : &GetRule(el, el);</div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  <span class="keywordflow">if</span> (DeviceCanUseCeed())</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  {</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  <span class="keyword">delete</span> ceedDataPtr;</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  ceedDataPtr = <span class="keyword">new</span> CeedData;</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  InitCeedCoeff(Q, *mesh, *ir, ceedDataPtr);</div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordflow">return</span> CeedPADiffusionAssemble(fes, *ir, *ceedDataPtr);</div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  }</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> dims = el.<a class="code" href="classmfem_1_1FiniteElement.html#adce1af6bfa2bce43aff14410fd6f1dfd">GetDim</a>();</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> symmDims = (dims * (dims + 1)) / 2; <span class="comment">// 1x1: 1, 2x2: 3, 3x3: 6</span></div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> nq = ir-><a class="code" href="classmfem_1_1IntegrationRule.html#aed557d90b3acf948530fc8dec78d07c9">GetNPoints</a>();</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  dim = mesh-><a class="code" href="classmfem_1_1Mesh.html#a61f9ae762eb6e61a0a2df018d5e90c94">Dimension</a>();</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  ne = fes.<a class="code" href="classmfem_1_1FiniteElementSpace.html#a4a44943a0465e80a45a04eb4618cc64c">GetNE</a>();</div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <a class="code" href="miniapps_2performance_2ex1_8cpp.html#a784b7cbb4c28f5c0b15e7c6f949b24d0">geom</a> = mesh-><a class="code" href="classmfem_1_1Mesh.html#aea9acc7eead91d5bd1ac08b9cc23f6bf">GetGeometricFactors</a>(*ir, GeometricFactors::JACOBIANS);</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> sdim = mesh-><a class="code" href="classmfem_1_1Mesh.html#ada2086bdd3f3125dfc1b55ce0090695d">SpaceDimension</a>();</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  maps = &el.<a class="code" href="classmfem_1_1FiniteElement.html#aa7033959042247a825c19bdc30a42412">GetDofToQuad</a>(*ir, DofToQuad::TENSOR);</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  dofs1D = maps-><a class="code" href="classmfem_1_1DofToQuad.html#a900d5a3b879189fde267a7a9817d0a3c">ndof</a>;</div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  quad1D = maps->nqpt;</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="keywordtype">int</span> coeffDim = 1;</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <a class="code" href="classmfem_1_1Vector.html">Vector</a> coeff;</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> MQfullDim = MQ ? MQ->GetHeight() * MQ->GetWidth() : 0;</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <span class="keywordflow">if</span> (MQ)</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  {</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  MFEM_VERIFY(MQ->GetHeight() == dim && MQ->GetWidth() == <a class="code" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> MQsymmDim = MQ->GetWidth() * (MQ->GetWidth() + 1) / 2;</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span> </div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> MQdim = MQ->IsSymmetric() ? MQsymmDim : MQfullDim;</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  coeffDim = MQdim;</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> </div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  coeff.<a class="code" href="classmfem_1_1Vector.html#ac1e67bd3ee82db59573950d19897c149">SetSize</a>(MQdim * nq * ne);</div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  symmetric = MQ ? MQ->IsSymmetric() : <span class="keyword">true</span>;</div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> </div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <a class="code" href="classmfem_1_1DenseMatrix.html">DenseMatrix</a> M;</div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <a class="code" href="classmfem_1_1Vector.html">Vector</a> Msymm;</div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="keywordflow">if</span> (symmetric)</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  {</div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  Msymm.<a class="code" href="classmfem_1_1Vector.html#ac1e67bd3ee82db59573950d19897c149">SetSize</a>(MQsymmDim);</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  }</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  {</div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  M.<a class="code" href="classmfem_1_1DenseMatrix.html#a5c62b399e1c6408e5f1903f6cab5dfbb">SetSize</a>(dim);</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  }</div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> </div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  <span class="keyword">auto</span> C = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(coeff.<a class="code" href="classmfem_1_1Vector.html#acf54c234969fb46aba3f4d4cddc17a6b">HostWrite</a>(), MQdim, nq, ne);</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e=0; e<ne; ++e)</div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  {</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  <a class="code" href="classmfem_1_1ElementTransformation.html">ElementTransformation</a> *tr = mesh-><a class="code" href="classmfem_1_1Mesh.html#a72dd2c8c7e70b3c766b72b25e2bfbb26">GetElementTransformation</a>(e);</div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a>=0; <a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a><nq; ++<a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a>)</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  {</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="keywordflow">if</span> (MQ->IsSymmetric())</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  {</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  MQ->EvalSymmetric(Msymm, *tr, ir-><a class="code" href="classmfem_1_1IntegrationRule.html#ab4b7d6acdf25f87e9bf207757edeaf57">IntPoint</a>(<a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a>));</div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> </div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<MQsymmDim; ++i)</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  {</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  C(i, <a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a>, e) = Msymm[i];</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  }</div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  }</div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  {</div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  MQ->Eval(M, *tr, ir-><a class="code" href="classmfem_1_1IntegrationRule.html#ab4b7d6acdf25f87e9bf207757edeaf57">IntPoint</a>(<a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a>));</div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span> </div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<<a class="code" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++i)</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j<<a class="code" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++j)</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  {</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  C(j+(i*dim), <a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a>, e) = M(i,j);</div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  }</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  }</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  }</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  }</div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  }</div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (VQ)</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  {</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  MFEM_VERIFY(VQ->GetVDim() == <a class="code" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  coeffDim = VQ->GetVDim();</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  coeff.<a class="code" href="classmfem_1_1Vector.html#ac1e67bd3ee82db59573950d19897c149">SetSize</a>(coeffDim * nq * ne);</div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <span class="keyword">auto</span> C = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(coeff.<a class="code" href="classmfem_1_1Vector.html#acf54c234969fb46aba3f4d4cddc17a6b">HostWrite</a>(), coeffDim, nq, ne);</div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <a class="code" href="classmfem_1_1Vector.html">Vector</a> D(coeffDim);</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e=0; e<ne; ++e)</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  {</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <a class="code" href="classmfem_1_1ElementTransformation.html">ElementTransformation</a> *tr = mesh-><a class="code" href="classmfem_1_1Mesh.html#a72dd2c8c7e70b3c766b72b25e2bfbb26">GetElementTransformation</a>(e);</div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a>=0; <a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a><nq; ++<a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a>)</div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  {</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  VQ->Eval(D, *tr, ir-><a class="code" href="classmfem_1_1IntegrationRule.html#ab4b7d6acdf25f87e9bf207757edeaf57">IntPoint</a>(<a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a>));</div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<coeffDim; ++i)</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  {</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  C(i, <a class="code" href="navier__mms_8cpp.html#aad69e558efc20c74b91561cc5721ca1a">p</a>, e) = D[i];</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  }</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  }</div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  }</div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  }</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (Q == <span class="keyword">nullptr</span>)</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  {</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  coeff.<a class="code" href="classmfem_1_1Vector.html#ac1e67bd3ee82db59573950d19897c149">SetSize</a>(1);</div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  coeff(0) = 1.0;</div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  }</div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="classmfem_1_1ConstantCoefficient.html">ConstantCoefficient</a>* cQ = dynamic_cast<ConstantCoefficient*>(Q))</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  {</div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  coeff.<a class="code" href="classmfem_1_1Vector.html#ac1e67bd3ee82db59573950d19897c149">SetSize</a>(1);</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  coeff(0) = cQ->constant;</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  }</div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="classmfem_1_1QuadratureFunctionCoefficient.html">QuadratureFunctionCoefficient</a>* cQ =</div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  dynamic_cast<QuadratureFunctionCoefficient*>(Q))</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  {</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1QuadratureFunction.html">QuadratureFunction</a> &qFun = cQ->GetQuadFunction();</div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  MFEM_VERIFY(qFun.<a class="code" href="classmfem_1_1Vector.html#ae46321466f5d68a25b6d8264bc1b08b5">Size</a>() == ne*nq,</div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <span class="stringliteral">"Incompatible QuadratureFunction dimension \n"</span>);</div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span> </div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  MFEM_VERIFY(ir == &qFun.<a class="code" href="classmfem_1_1QuadratureFunction.html#a751215540aa2bc135fcd7e5fbe59293e">GetSpace</a>()-><a class="code" href="classmfem_1_1QuadratureSpace.html#aa23928eb34076cb9eb994152c35714ab">GetElementIntRule</a>(0),</div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  <span class="stringliteral">"IntegrationRule used within integrator and in"</span></div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  <span class="stringliteral">" QuadratureFunction appear to be different"</span>);</div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  qFun.<a class="code" href="classmfem_1_1Vector.html#afb0fdfe8ce56af76f247c402c313cd8b">Read</a>();</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  coeff.<a class="code" href="classmfem_1_1Vector.html#af4f29f4223296c6c07500ff7428309ba">MakeRef</a>(const_cast<QuadratureFunction &>(qFun),0);</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  }</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  <span class="keywordflow">else</span></div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  {</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  coeff.<a class="code" href="classmfem_1_1Vector.html#ac1e67bd3ee82db59573950d19897c149">SetSize</a>(nq * ne);</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keyword">auto</span> C = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(coeff.<a class="code" href="classmfem_1_1Vector.html#acf54c234969fb46aba3f4d4cddc17a6b">HostWrite</a>(), nq, ne);</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> e = 0; e < ne; ++e)</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  {</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  <a class="code" href="classmfem_1_1ElementTransformation.html">ElementTransformation</a>& T = *fes.<a class="code" href="classmfem_1_1FiniteElementSpace.html#a3c39f4ceae2f7d09e63a86ecbef9016a">GetElementTransformation</a>(e);</div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> q = 0; q < nq; ++q)</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  {</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  C(q,e) = Q->Eval(T, ir-><a class="code" href="classmfem_1_1IntegrationRule.html#ab4b7d6acdf25f87e9bf207757edeaf57">IntPoint</a>(q));</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  }</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  }</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  }</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  pa_data.SetSize((symmetric ? symmDims : MQfullDim) * nq * ne,</div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  Device::GetDeviceMemoryType());</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  PADiffusionSetup(dim, sdim, dofs1D, quad1D, coeffDim, ne, ir-><a class="code" href="classmfem_1_1IntegrationRule.html#af56d7976f19691d6d871520f401802f6">GetWeights</a>(),</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  <a class="code" href="miniapps_2performance_2ex1_8cpp.html#a784b7cbb4c28f5c0b15e7c6f949b24d0">geom</a>->J, coeff, pa_data);</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span> }</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span> </div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span> <span class="keyword">template</span><<span class="keywordtype">int</span> T_D1D = 0, <span class="keywordtype">int</span> T_Q1D = 0></div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span> <span class="keyword">static</span> <span class="keywordtype">void</span> PADiffusionDiagonal2D(<span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> symmetric,</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Array.html">Array<double></a> &<a class="code" href="lissajous_8cpp.html#a1510a66dacf9cf3586de5fc89ae2a073">b</a>,</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Array.html">Array<double></a> &g,</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  <span class="keyword">const</span> <a class="code" href="classmfem_1_1Vector.html">Vector</a> &d,</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <a class="code" href="classmfem_1_1Vector.html">Vector</a> &y,</div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> d1d = 0,</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> q1d = 0)</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span> {</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> D1D = T_D1D ? T_D1D : d1d;</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D = T_Q1D ? T_Q1D : q1d;</div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  MFEM_VERIFY(D1D <= <a class="code" href="namespacemfem.html#a5aebd4a4c03683152fecdddeadeea063">MAX_D1D</a>, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  MFEM_VERIFY(Q1D <= <a class="code" href="namespacemfem.html#a9e5e61b8655c24492141bdee04eeb871">MAX_Q1D</a>, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  <span class="keyword">auto</span> B = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(b.<a class="code" href="classmfem_1_1Array.html#a36c78fb2a325fa53845d64a4ae91202d">Read</a>(), Q1D, D1D);</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  <span class="keyword">auto</span> G = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(g.<a class="code" href="classmfem_1_1Array.html#a36c78fb2a325fa53845d64a4ae91202d">Read</a>(), Q1D, D1D);</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="comment">// note the different shape for D, if this is a symmetric matrix we only</span></div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  <span class="comment">// store necessary entries</span></div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <span class="keyword">auto</span> D = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(d.<a class="code" href="classmfem_1_1Vector.html#afb0fdfe8ce56af76f247c402c313cd8b">Read</a>(), Q1D*Q1D, symmetric ? 3 : 4, NE);</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  <span class="keyword">auto</span> Y = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(y.<a class="code" href="classmfem_1_1Vector.html#a9f4d6e643c51ac628fa6eacc74c5f37f">ReadWrite</a>(), D1D, D1D, NE);</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  MFEM_FORALL(e, NE,</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  {</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> D1D = T_D1D ? T_D1D : d1d;</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D = T_Q1D ? T_Q1D : q1d;</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  constexpr <span class="keywordtype">int</span> MD1 = T_D1D ? T_D1D : <a class="code" href="namespacemfem.html#a5aebd4a4c03683152fecdddeadeea063">MAX_D1D</a>;</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  constexpr <span class="keywordtype">int</span> MQ1 = T_Q1D ? T_Q1D : <a class="code" href="namespacemfem.html#a9e5e61b8655c24492141bdee04eeb871">MAX_Q1D</a>;</div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <span class="comment">// gradphi \cdot Q \gradphi has four terms</span></div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <span class="keywordtype">double</span> QD0[MQ1][MD1];</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <span class="keywordtype">double</span> QD1[MQ1][MD1];</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  <span class="keywordtype">double</span> QD2[MQ1][MD1];</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = 0; qx < Q1D; ++qx)</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  {</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dy = 0; dy < D1D; ++dy)</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  {</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  QD0[qx][dy] = 0.0;</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  QD1[qx][dy] = 0.0;</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  QD2[qx][dy] = 0.0;</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy = 0; qy < Q1D; ++qy)</div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  {</div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> q = qx + qy * Q1D;</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D00 = D(q,0,e);</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D10 = D(q,1,e);</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D01 = symmetric ? D10 : D(q,2,e);</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D11 = symmetric ? D(q,2,e) : D(q,3,e);</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  QD0[qx][dy] += B(qy, dy) * B(qy, dy) * D00;</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  QD1[qx][dy] += B(qy, dy) * G(qy, dy) * (D01 + D10);</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  QD2[qx][dy] += G(qy, dy) * G(qy, dy) * D11;</div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  }</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  }</div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  }</div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dy = 0; dy < D1D; ++dy)</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  {</div>
<div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dx = 0; dx < D1D; ++dx)</div>
<div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  {</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = 0; qx < Q1D; ++qx)</div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  {</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  Y(dx,dy,e) += G(qx, dx) * G(qx, dx) * QD0[qx][dy];</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  Y(dx,dy,e) += G(qx, dx) * B(qx, dx) * QD1[qx][dy];</div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  Y(dx,dy,e) += B(qx, dx) * B(qx, dx) * QD2[qx][dy];</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  }</div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  }</div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  }</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  });</div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span> }</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span> </div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span> <span class="comment">// Shared memory PA Diffusion Diagonal 2D kernel</span></div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span> <span class="keyword">template</span><<span class="keywordtype">int</span> T_D1D = 0, <span class="keywordtype">int</span> T_Q1D = 0, <span class="keywordtype">int</span> T_NBZ = 0></div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span> <span class="keyword">static</span> <span class="keywordtype">void</span> SmemPADiffusionDiagonal2D(<span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> symmetric,</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <span class="keyword">const</span> Array<double> &b_,</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  <span class="keyword">const</span> Array<double> &g_,</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  <span class="keyword">const</span> Vector &d_,</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  Vector &y_,</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> d1d = 0,</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> q1d = 0)</div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span> {</div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> D1D = T_D1D ? T_D1D : d1d;</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D = T_Q1D ? T_Q1D : q1d;</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  constexpr <span class="keywordtype">int</span> NBZ = T_NBZ ? T_NBZ : 1;</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  constexpr <span class="keywordtype">int</span> MQ1 = T_Q1D ? T_Q1D : <a class="code" href="namespacemfem.html#a9e5e61b8655c24492141bdee04eeb871">MAX_Q1D</a>;</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  constexpr <span class="keywordtype">int</span> MD1 = T_D1D ? T_D1D : <a class="code" href="namespacemfem.html#a5aebd4a4c03683152fecdddeadeea063">MAX_D1D</a>;</div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  MFEM_VERIFY(D1D <= MD1, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  MFEM_VERIFY(Q1D <= MQ1, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  <span class="keyword">auto</span> b = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(b_.Read(), Q1D, D1D);</div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keyword">auto</span> g = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(g_.Read(), Q1D, D1D);</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  <span class="keyword">auto</span> D = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(d_.Read(), Q1D*Q1D, symmetric ? 3 : 4, NE);</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  <span class="keyword">auto</span> Y = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(y_.ReadWrite(), D1D, D1D, NE);</div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  MFEM_FORALL_2D(e, NE, Q1D, Q1D, NBZ,</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  {</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> tidz = MFEM_THREAD_ID(z);</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> D1D = T_D1D ? T_D1D : d1d;</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D = T_Q1D ? T_Q1D : q1d;</div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  constexpr <span class="keywordtype">int</span> NBZ = T_NBZ ? T_NBZ : 1;</div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  constexpr <span class="keywordtype">int</span> MQ1 = T_Q1D ? T_Q1D : <a class="code" href="namespacemfem.html#a9e5e61b8655c24492141bdee04eeb871">MAX_Q1D</a>;</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  constexpr <span class="keywordtype">int</span> MD1 = T_D1D ? T_D1D : <a class="code" href="namespacemfem.html#a5aebd4a4c03683152fecdddeadeea063">MAX_D1D</a>;</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  MFEM_SHARED <span class="keywordtype">double</span> BG[2][MQ1*MD1];</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  double (*B)[MD1] = (double (*)[MD1]) (BG+0);</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  double (*G)[MD1] = (double (*)[MD1]) (BG+1);</div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  MFEM_SHARED <span class="keywordtype">double</span> QD[3][NBZ][MD1][MQ1];</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  double (*QD0)[MD1] = (double (*)[MD1])(QD[0] + tidz);</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  double (*QD1)[MD1] = (double (*)[MD1])(QD[1] + tidz);</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  double (*QD2)[MD1] = (double (*)[MD1])(QD[2] + tidz);</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  <span class="keywordflow">if</span> (tidz == 0)</div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  {</div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  MFEM_FOREACH_THREAD(d,y,D1D)</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  {</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  MFEM_FOREACH_THREAD(q,x,Q1D)</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  {</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  B[q][d] = <a class="code" href="lissajous_8cpp.html#a1510a66dacf9cf3586de5fc89ae2a073">b</a>(q,d);</div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  G[q][d] = g(q,d);</div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  }</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  }</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  }</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  MFEM_SYNC_THREAD;</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  MFEM_FOREACH_THREAD(qx,x,Q1D)</div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  {</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  MFEM_FOREACH_THREAD(dy,y,D1D)</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  {</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  QD0[qx][dy] = 0.0;</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  QD1[qx][dy] = 0.0;</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  QD2[qx][dy] = 0.0;</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy = 0; qy < Q1D; ++qy)</div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  {</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> q = qx + qy * Q1D;</div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D00 = D(q,0,e);</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D10 = D(q,1,e);</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D01 = symmetric ? D10 : D(q,2,e);</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> D11 = symmetric ? D(q,2,e) : D(q,3,e);</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> By = B[qy][dy];</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Gy = G[qy][dy];</div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> BB = By * By;</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> BG = By * Gy;</div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> GG = Gy * Gy;</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  QD0[qx][dy] += BB * D00;</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  QD1[qx][dy] += BG * (D01 + D10);</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  QD2[qx][dy] += GG * D11;</div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  }</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  }</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  }</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  MFEM_SYNC_THREAD;</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  MFEM_FOREACH_THREAD(dy,y,D1D)</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span>  {</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  MFEM_FOREACH_THREAD(dx,x,D1D)</div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  {</div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = 0; qx < Q1D; ++qx)</div>
<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  {</div>
<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Bx = B[qx][dx];</div>
<div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Gx = G[qx][dx];</div>
<div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> BB = Bx * Bx;</div>
<div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> BG = Bx * Gx;</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> GG = Gx * Gx;</div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  Y(dx,dy,e) += GG * QD0[qx][dy];</div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  Y(dx,dy,e) += BG * QD1[qx][dy];</div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  Y(dx,dy,e) += BB * QD2[qx][dy];</div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  }</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  }</div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  }</div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  });</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span> }</div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span> </div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span> <span class="keyword">template</span><<span class="keywordtype">int</span> T_D1D = 0, <span class="keywordtype">int</span> T_Q1D = 0></div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span> <span class="keyword">static</span> <span class="keywordtype">void</span> PADiffusionDiagonal3D(<span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> symmetric,</div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="keyword">const</span> Array<double> &b,</div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  <span class="keyword">const</span> Array<double> &g,</div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <span class="keyword">const</span> Vector &d,</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  Vector &y,</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> d1d = 0,</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> q1d = 0)</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span> {</div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  constexpr <span class="keywordtype">int</span> <a class="code" href="minimal-surface_8cpp.html#a5c04aa1c27b748c112473234c95721c8">DIM</a> = 3;</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> D1D = T_D1D ? T_D1D : d1d;</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D = T_Q1D ? T_Q1D : q1d;</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  constexpr <span class="keywordtype">int</span> MQ1 = T_Q1D ? T_Q1D : <a class="code" href="namespacemfem.html#a9e5e61b8655c24492141bdee04eeb871">MAX_Q1D</a>;</div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  constexpr <span class="keywordtype">int</span> MD1 = T_D1D ? T_D1D : <a class="code" href="namespacemfem.html#a5aebd4a4c03683152fecdddeadeea063">MAX_D1D</a>;</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  MFEM_VERIFY(D1D <= MD1, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  MFEM_VERIFY(Q1D <= MQ1, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  <span class="keyword">auto</span> B = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(b.Read(), Q1D, D1D);</div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  <span class="keyword">auto</span> G = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(g.Read(), Q1D, D1D);</div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  <span class="keyword">auto</span> Q = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(d.Read(), Q1D*Q1D*Q1D, symmetric ? 6 : 9, NE);</div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  <span class="keyword">auto</span> Y = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(y.ReadWrite(), D1D, D1D, D1D, NE);</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  MFEM_FORALL(e, NE,</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  {</div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> D1D = T_D1D ? T_D1D : d1d;</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D = T_Q1D ? T_Q1D : q1d;</div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  constexpr <span class="keywordtype">int</span> MD1 = T_D1D ? T_D1D : <a class="code" href="namespacemfem.html#a5aebd4a4c03683152fecdddeadeea063">MAX_D1D</a>;</div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  constexpr <span class="keywordtype">int</span> MQ1 = T_Q1D ? T_Q1D : <a class="code" href="namespacemfem.html#a9e5e61b8655c24492141bdee04eeb871">MAX_Q1D</a>;</div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  <span class="keywordtype">double</span> QQD[MQ1][MQ1][MD1];</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  <span class="keywordtype">double</span> QDD[MQ1][MD1][MD1];</div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="minimal-surface_8cpp.html#a5c04aa1c27b748c112473234c95721c8">DIM</a>; ++i)</div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  {</div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < <a class="code" href="minimal-surface_8cpp.html#a5c04aa1c27b748c112473234c95721c8">DIM</a>; ++j)</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  {</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  <span class="comment">// first tensor contraction, along z direction</span></div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = 0; qx < Q1D; ++qx)</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  {</div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy = 0; qy < Q1D; ++qy)</div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  {</div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dz = 0; dz < D1D; ++dz)</div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  {</div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  QQD[qx][qy][dz] = 0.0;</div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qz = 0; qz < Q1D; ++qz)</div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  {</div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> q = qx + (qy + qz * Q1D) * Q1D;</div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> ksym = j >= i ?</div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  3 - (3-i)*(2-i)/2 + j:</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  3 - (3-j)*(2-j)/2 + i;</div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> k = symmetric ? ksym : (i*<a class="code" href="minimal-surface_8cpp.html#a5c04aa1c27b748c112473234c95721c8">DIM</a>) + j;</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> O = Q(q,k,e);</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Bz = B(qz,dz);</div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Gz = G(qz,dz);</div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> L = i==2 ? Gz : Bz;</div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = j==2 ? Gz : Bz;</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  QQD[qx][qy][dz] += L * O * R;</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  }</div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  }</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  }</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  }</div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  <span class="comment">// second tensor contraction, along y direction</span></div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = 0; qx < Q1D; ++qx)</div>
<div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  {</div>
<div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dz = 0; dz < D1D; ++dz)</div>
<div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  {</div>
<div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dy = 0; dy < D1D; ++dy)</div>
<div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  {</div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  QDD[qx][dy][dz] = 0.0;</div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy = 0; qy < Q1D; ++qy)</div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  {</div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> By = B(qy,dy);</div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Gy = G(qy,dy);</div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> L = i==1 ? Gy : By;</div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = j==1 ? Gy : By;</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  QDD[qx][dy][dz] += L * QQD[qx][qy][dz] * R;</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  }</div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  }</div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  }</div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  }</div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  <span class="comment">// third tensor contraction, along x direction</span></div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dz = 0; dz < D1D; ++dz)</div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  {</div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dy = 0; dy < D1D; ++dy)</div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  {</div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dx = 0; dx < D1D; ++dx)</div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  {</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = 0; qx < Q1D; ++qx)</div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  {</div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Bx = B(qx,dx);</div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Gx = G(qx,dx);</div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> L = i==0 ? Gx : Bx;</div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = j==0 ? Gx : Bx;</div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  Y(dx, dy, dz, e) += L * QDD[qx][dy][dz] * R;</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  }</div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  }</div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  }</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  }</div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  }</div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  }</div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  });</div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span> }</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span> </div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span> <span class="comment">// Shared memory PA Diffusion Diagonal 3D kernel</span></div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span> <span class="keyword">template</span><<span class="keywordtype">int</span> T_D1D = 0, <span class="keywordtype">int</span> T_Q1D = 0></div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span> <span class="keyword">static</span> <span class="keywordtype">void</span> SmemPADiffusionDiagonal3D(<span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> symmetric,</div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  <span class="keyword">const</span> Array<double> &b_,</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  <span class="keyword">const</span> Array<double> &g_,</div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  <span class="keyword">const</span> Vector &d_,</div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  Vector &y_,</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> d1d = 0,</div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> q1d = 0)</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span> {</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  constexpr <span class="keywordtype">int</span> DIM = 3;</div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> D1D = T_D1D ? T_D1D : d1d;</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D = T_Q1D ? T_Q1D : q1d;</div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  constexpr <span class="keywordtype">int</span> MQ1 = T_Q1D ? T_Q1D : <a class="code" href="namespacemfem.html#a9e5e61b8655c24492141bdee04eeb871">MAX_Q1D</a>;</div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  constexpr <span class="keywordtype">int</span> MD1 = T_D1D ? T_D1D : <a class="code" href="namespacemfem.html#a5aebd4a4c03683152fecdddeadeea063">MAX_D1D</a>;</div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  MFEM_VERIFY(D1D <= MD1, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  MFEM_VERIFY(Q1D <= MQ1, <span class="stringliteral">""</span>);</div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  <span class="keyword">auto</span> b = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(b_.Read(), Q1D, D1D);</div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  <span class="keyword">auto</span> g = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(g_.Read(), Q1D, D1D);</div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  <span class="keyword">auto</span> D = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(d_.Read(), Q1D*Q1D*Q1D, symmetric ? 6 : 9, NE);</div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  <span class="keyword">auto</span> Y = <a class="code" href="namespacemfem.html#aa380b93b2cc55312f925ed6e1fc1c53c">Reshape</a>(y_.ReadWrite(), D1D, D1D, D1D, NE);</div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  MFEM_FORALL_3D(e, NE, Q1D, Q1D, Q1D,</div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  {</div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> tidz = MFEM_THREAD_ID(z);</div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> D1D = T_D1D ? T_D1D : d1d;</div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D = T_Q1D ? T_Q1D : q1d;</div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  constexpr <span class="keywordtype">int</span> MQ1 = T_Q1D ? T_Q1D : <a class="code" href="namespacemfem.html#a9e5e61b8655c24492141bdee04eeb871">MAX_Q1D</a>;</div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  constexpr <span class="keywordtype">int</span> MD1 = T_D1D ? T_D1D : <a class="code" href="namespacemfem.html#a5aebd4a4c03683152fecdddeadeea063">MAX_D1D</a>;</div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  MFEM_SHARED <span class="keywordtype">double</span> BG[2][MQ1*MD1];</div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  double (*B)[MD1] = (double (*)[MD1]) (BG+0);</div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  double (*G)[MD1] = (double (*)[MD1]) (BG+1);</div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  MFEM_SHARED <span class="keywordtype">double</span> QQD[MQ1][MQ1][MD1];</div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  MFEM_SHARED <span class="keywordtype">double</span> QDD[MQ1][MD1][MD1];</div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  <span class="keywordflow">if</span> (tidz == 0)</div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  {</div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  MFEM_FOREACH_THREAD(d,y,D1D)</div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  {</div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  MFEM_FOREACH_THREAD(q,x,Q1D)</div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  {</div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  B[q][d] = <a class="code" href="lissajous_8cpp.html#a1510a66dacf9cf3586de5fc89ae2a073">b</a>(q,d);</div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  G[q][d] = g(q,d);</div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  }</div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  }</div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  }</div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  MFEM_SYNC_THREAD;</div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code" href="minimal-surface_8cpp.html#a5c04aa1c27b748c112473234c95721c8">DIM</a>; ++i)</div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  {</div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < <a class="code" href="minimal-surface_8cpp.html#a5c04aa1c27b748c112473234c95721c8">DIM</a>; ++j)</div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  {</div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  <span class="comment">// first tensor contraction, along z direction</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  MFEM_FOREACH_THREAD(qx,x,Q1D)</div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  {</div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  MFEM_FOREACH_THREAD(qy,y,Q1D)</div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  {</div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  MFEM_FOREACH_THREAD(dz,z,D1D)</div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  {</div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  QQD[qx][qy][dz] = 0.0;</div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qz = 0; qz < Q1D; ++qz)</div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  {</div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> q = qx + (qy + qz * Q1D) * Q1D;</div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> ksym = j >= i ?</div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  3 - (3-i)*(2-i)/2 + j:</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  3 - (3-j)*(2-j)/2 + i;</div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> k = symmetric ? ksym : (i*<a class="code" href="minimal-surface_8cpp.html#a5c04aa1c27b748c112473234c95721c8">DIM</a>) + j;</div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> O = D(q,k,e);</div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Bz = B[qz][dz];</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Gz = G[qz][dz];</div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> L = i==2 ? Gz : Bz;</div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = j==2 ? Gz : Bz;</div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  QQD[qx][qy][dz] += L * O * R;</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  }</div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  }</div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  }</div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  }</div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>  MFEM_SYNC_THREAD;</div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  <span class="comment">// second tensor contraction, along y direction</span></div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  MFEM_FOREACH_THREAD(qx,x,Q1D)</div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  {</div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  MFEM_FOREACH_THREAD(dz,z,D1D)</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  {</div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  MFEM_FOREACH_THREAD(dy,y,D1D)</div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  {</div>
<div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  QDD[qx][dy][dz] = 0.0;</div>
<div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy = 0; qy < Q1D; ++qy)</div>
<div class="line"><a name="l00837"></a><span class="lineno"> 837</span>  {</div>
<div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> By = B[qy][dy];</div>
<div class="line"><a name="l00839"></a><span class="lineno"> 839</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Gy = G[qy][dy];</div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> L = i==1 ? Gy : By;</div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = j==1 ? Gy : By;</div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  QDD[qx][dy][dz] += L * QQD[qx][qy][dz] * R;</div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>  }</div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  }</div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  }</div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  }</div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  MFEM_SYNC_THREAD;</div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  <span class="comment">// third tensor contraction, along x direction</span></div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  MFEM_FOREACH_THREAD(dz,z,D1D)</div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  {</div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  MFEM_FOREACH_THREAD(dy,y,D1D)</div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  {</div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>  MFEM_FOREACH_THREAD(dx,x,D1D)</div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>  {</div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = 0; qx < Q1D; ++qx)</div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  {</div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Bx = B[qx][dx];</div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> Gx = G[qx][dx];</div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> L = i==0 ? Gx : Bx;</div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>  <span class="keyword">const</span> <span class="keywordtype">double</span> R = j==0 ? Gx : Bx;</div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  Y(dx, dy, dz, e) += L * QDD[qx][dy][dz] * R;</div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>  }</div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  }</div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>  }</div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>  }</div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  }</div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>  }</div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>  });</div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span> }</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span> </div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span> <span class="keyword">static</span> <span class="keywordtype">void</span> PADiffusionAssembleDiagonal(<span class="keyword">const</span> <span class="keywordtype">int</span> dim,</div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> D1D,</div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> Q1D,</div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> NE,</div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> symm,</div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>  <span class="keyword">const</span> Array<double> &B,</div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  <span class="keyword">const</span> Array<double> &G,</div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  <span class="keyword">const</span> Vector &D,</div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>  Vector &Y)</div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span> {</div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  <span class="keywordflow">if</span> (dim == 2)</div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  {</div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>  <span class="keywordflow">switch</span> ((D1D << 4 ) | Q1D)</div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>  {</div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>  <span class="keywordflow">case</span> 0x22: <span class="keywordflow">return</span> SmemPADiffusionDiagonal2D<2,2,8>(NE,symm,B,G,D,Y);</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>  <span class="keywordflow">case</span> 0x33: <span class="keywordflow">return</span> SmemPADiffusionDiagonal2D<3,3,8>(NE,symm,B,G,D,Y);</div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>  <span class="keywordflow">case</span> 0x44: <span class="keywordflow">return</span> SmemPADiffusionDiagonal2D<4,4,4>(NE,symm,B,G,D,Y);</div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  <span class="keywordflow">case</span> 0x55: <span class="keywordflow">return</span> SmemPADiffusionDiagonal2D<5,5,4>(NE,symm,B,G,D,Y);</div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  <span class="keywordflow">case</span> 0x66: <span class="keywordflow">return</span> SmemPADiffusionDiagonal2D<6,6,2>(NE,symm,B,G,D,Y);</div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  <span class="keywordflow">case</span> 0x77: <span class="keywordflow">return</span> SmemPADiffusionDiagonal2D<7,7,2>(NE,symm,B,G,D,Y);</div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  <span class="keywordflow">case</span> 0x88: <span class="keywordflow">return</span> SmemPADiffusionDiagonal2D<8,8,1>(NE,symm,B,G,D,Y);</div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  <span class="keywordflow">case</span> 0x99: <span class="keywordflow">return</span> SmemPADiffusionDiagonal2D<9,9,1>(NE,symm,B,G,D,Y);</div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  <span class="keywordflow">default</span>: <span class="keywordflow">return</span> PADiffusionDiagonal2D(NE,symm,B,G,D,Y,D1D,Q1D);</div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  }</div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  }</div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (dim == 3)</div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>  {</div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  <span class="keywordflow">switch</span> ((D1D << 4 ) | Q1D)</div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>  {</div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  <span class="keywordflow">case</span> 0x23: <span class="keywordflow">return</span> SmemPADiffusionDiagonal3D<2,3>(NE,symm,B,G,D,Y);</div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  <span class="keywordflow">case</span> 0x34: <span class="keywordflow">return</span> SmemPADiffusionDiagonal3D<3,4>(NE,symm,B,G,D,Y);</div>