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<li class="navelem"><a class="el" href="dir_53dfd975dba04c9c8aff68f375276075.html">fem</a></li><li class="navelem"><a class="el" href="dir_358c513a3114f0d688614abd1b8df0be.html">integ</a></li> </ul>
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<a href="bilininteg__diffusion__patch_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright (c) 2010-2025, Lawrence Livermore National Security, LLC. Produced</span></div>
<div class="line"><a id="l00002" 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 id="l00003" 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 id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">//</span></div>
<div class="line"><a id="l00005" 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 id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// availability visit https://mfem.org.</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" 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 id="l00009" 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 id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// CONTRIBUTING.md for details.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include "<a class="code" href="fem_8hpp.html">../fem.hpp</a>"</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include "<a class="code" href="nurbs_8hpp.html">../../mesh/nurbs.hpp</a>"</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include "<a class="code" href="dtensor_8hpp.html">../../linalg/dtensor.hpp</a>"</span> <span class="comment">// For Reshape</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include "<a class="code" href="forall_8hpp.html">../../general/forall.hpp</a>"</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="keyword">using namespace </span>std;</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespacemfem.html">mfem</a></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span>{</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="comment">// Adapted from PADiffusionSetup3D</span></div>
<div class="foldopen" id="foldopen00025" data-start="{" data-end="}">
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"><a class="line" href="namespacemfem.html#a988e6432bfcdf2b222f981865405a680"> 25</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespacemfem.html#a988e6432bfcdf2b222f981865405a680">SetupPatch3D</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> Q1Dx,</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">const</span> <span class="keywordtype">int</span> Q1Dy,</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keyword">const</span> <span class="keywordtype">int</span> Q1Dz,</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keyword">const</span> <span class="keywordtype">int</span> coeffDim,</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> symmetric,</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keyword">const</span> <a class="code hl_class" href="classmfem_1_1Array.html">Array<real_t></a> &w,</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">const</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &j,</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">const</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &c,</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &d)</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span>{</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> const_c = (c.<a class="code hl_function" href="classmfem_1_1Vector.html#aa9c5be6e53d0993d5851c276ba2a6079">Size</a>() == 1);</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> MFEM_VERIFY(coeffDim < 6 ||</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> !const_c, <span class="stringliteral">"Constant matrix coefficient not supported"</span>);</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">const</span> <span class="keyword">auto</span> W = <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(w.<a class="code hl_function" href="classmfem_1_1Array.html#aaecf58ad8c45ce3515794b84b64e1f63">Read</a>(), Q1Dx,Q1Dy,Q1Dz);</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">const</span> <span class="keyword">auto</span> J = <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(j.<a class="code hl_function" href="classmfem_1_1Vector.html#a1cc86fedf087d4256b64bb4091a12712">Read</a>(), Q1Dx,Q1Dy,Q1Dz,3,3);</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">const</span> <span class="keyword">auto</span> C = const_c ? <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(c.<a class="code hl_function" href="classmfem_1_1Vector.html#a1cc86fedf087d4256b64bb4091a12712">Read</a>(), 1,1,1,1) :</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(c.<a class="code hl_function" href="classmfem_1_1Vector.html#a1cc86fedf087d4256b64bb4091a12712">Read</a>(), coeffDim,Q1Dx,Q1Dy,Q1Dz);</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> d.<a class="code hl_function" href="classmfem_1_1Vector.html#ac1e67bd3ee82db59573950d19897c149">SetSize</a>(Q1Dx * Q1Dy * Q1Dz * (symmetric ? 6 : 9));</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keyword">auto</span> D = <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(d.<a class="code hl_function" href="classmfem_1_1Vector.html#ae70501f7e17779a065752a2fd2781e03">Write</a>(), Q1Dx,Q1Dy,Q1Dz, symmetric ? 6 : 9);</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keyword">const</span> <span class="keywordtype">int</span> NE = 1; <span class="comment">// TODO: MFEM_FORALL_3D without e?</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> MFEM_FORALL_3D(e, NE, Q1Dx, Q1Dy, Q1Dz,</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> MFEM_FOREACH_THREAD(qx,x,Q1Dx)</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> {</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> MFEM_FOREACH_THREAD(qy,y,Q1Dy)</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> MFEM_FOREACH_THREAD(qz,z,Q1Dz)</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> {</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> J11 = J(qx,qy,qz,0,0);</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> J21 = J(qx,qy,qz,1,0);</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> J31 = J(qx,qy,qz,2,0);</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> J12 = J(qx,qy,qz,0,1);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> J22 = J(qx,qy,qz,1,1);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> J32 = J(qx,qy,qz,2,1);</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> J13 = J(qx,qy,qz,0,2);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> J23 = J(qx,qy,qz,1,2);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> J33 = J(qx,qy,qz,2,2);</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> detJ = J11 * (J22 * J33 - J32 * J23) -</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">/* */</span> J21 * (J12 * J33 - J32 * J13) +</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="comment">/* */</span> J31 * (J12 * J23 - J22 * J13);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> w_detJ = W(qx,qy,qz) / detJ;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="comment">// adj(J)</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> A11 = (J22 * J33) - (J23 * J32);</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> A12 = (J32 * J13) - (J12 * J33);</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> A13 = (J12 * J23) - (J22 * J13);</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> A21 = (J31 * J23) - (J21 * J33);</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> A22 = (J11 * J33) - (J13 * J31);</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> A23 = (J21 * J13) - (J11 * J23);</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> A31 = (J21 * J32) - (J31 * J22);</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> A32 = (J31 * J12) - (J11 * J32);</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> A33 = (J11 * J22) - (J12 * J21);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">if</span> (coeffDim == 6 || coeffDim == 9) <span class="comment">// Matrix coefficient version</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// Compute entries of R = MJ^{-T} = M adj(J)^T, without det J.</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> M11 = C(0, qx,qy,qz);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> M12 = C(1, qx,qy,qz);</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> M13 = C(2, qx,qy,qz);</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> M21 = (!symmetric) ? C(3, qx,qy,qz) : M12;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> M22 = (!symmetric) ? C(4, qx,qy,qz) : C(3, qx,qy,qz);</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> M23 = (!symmetric) ? C(5, qx,qy,qz) : C(4, qx,qy,qz);</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> M31 = (!symmetric) ? C(6, qx,qy,qz) : M13;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> M32 = (!symmetric) ? C(7, qx,qy,qz) : M23;</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> M33 = (!symmetric) ? C(8, qx,qy,qz) : C(5, qx,qy,qz);</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> R11 = M11*A11 + M12*A12 + M13*A13;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> R12 = M11*A21 + M12*A22 + M13*A23;</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> R13 = M11*A31 + M12*A32 + M13*A33;</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> R21 = M21*A11 + M22*A12 + M23*A13;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> R22 = M21*A21 + M22*A22 + M23*A23;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> R23 = M21*A31 + M22*A32 + M23*A33;</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> R31 = M31*A11 + M32*A12 + M33*A13;</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> R32 = M31*A21 + M32*A22 + M33*A23;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> R33 = M31*A31 + M32*A32 + M33*A33;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// Now set D to J^{-1} R = adj(J) R</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> D(qx,qy,qz,0) = w_detJ * (A11*R11 + A12*R21 + A13*R31); <span class="comment">// 1,1</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> D12 = w_detJ * (A11*R12 + A12*R22 + A13*R32);</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> D(qx,qy,qz,1) = D12; <span class="comment">// 1,2</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> D(qx,qy,qz,2) = w_detJ * (A11*R13 + A12*R23 + A13*R33); <span class="comment">// 1,3</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> D21 = w_detJ * (A21*R11 + A22*R21 + A23*R31);</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> D22 = w_detJ * (A21*R12 + A22*R22 + A23*R32);</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> D23 = w_detJ * (A21*R13 + A22*R23 + A23*R33);</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> D33 = w_detJ * (A31*R13 + A32*R23 + A33*R33);</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> </div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> D(qx,qy,qz,3) = symmetric ? D22 : D21; <span class="comment">// 2,2 or 2,1</span></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> D(qx,qy,qz,4) = symmetric ? D23 : D22; <span class="comment">// 2,3 or 2,2</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> D(qx,qy,qz,5) = symmetric ? D33 : D23; <span class="comment">// 3,3 or 2,3</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> </div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">if</span> (!symmetric)</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> {</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> D(qx,qy,qz,6) = w_detJ * (A31*R11 + A32*R21 + A33*R31); <span class="comment">// 3,1</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> D(qx,qy,qz,7) = w_detJ * (A31*R12 + A32*R22 + A33*R32); <span class="comment">// 3,2</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> D(qx,qy,qz,8) = D33; <span class="comment">// 3,3</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> }</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">else</span> <span class="comment">// Vector or scalar coefficient version</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> {</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> C1 = const_c ? C(0,0,0,0) : C(0,qx,qy,qz);</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> C2 = const_c ? C(0,0,0,0) :</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> (coeffDim == 3 ? C(1,qx,qy,qz) : C(0,qx,qy,qz));</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> C3 = const_c ? C(0,0,0,0) :</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> (coeffDim == 3 ? C(2,qx,qy,qz) : C(0,qx,qy,qz));</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="comment">// detJ J^{-1} J^{-T} = (1/detJ) adj(J) adj(J)^T</span></div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> D(qx,qy,qz,0) = w_detJ * (C1*A11*A11 + C2*A12*A12 + C3*A13*A13); <span class="comment">// 1,1</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> D(qx,qy,qz,1) = w_detJ * (C1*A11*A21 + C2*A12*A22 + C3*A13*A23); <span class="comment">// 2,1</span></div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> D(qx,qy,qz,2) = w_detJ * (C1*A11*A31 + C2*A12*A32 + C3*A13*A33); <span class="comment">// 3,1</span></div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> D(qx,qy,qz,3) = w_detJ * (C1*A21*A21 + C2*A22*A22 + C3*A23*A23); <span class="comment">// 2,2</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> D(qx,qy,qz,4) = w_detJ * (C1*A21*A31 + C2*A22*A32 + C3*A23*A33); <span class="comment">// 3,2</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> D(qx,qy,qz,5) = w_detJ * (C1*A31*A31 + C2*A32*A32 + C3*A33*A33); <span class="comment">// 3,3</span></div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> }</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> }</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> }</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> }</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> });</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span>}</div>
</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> </div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span><span class="comment">// Compute a reduced integration rule, using NNLSSolver, for DiffusionIntegrator</span></div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span><span class="comment">// on a NURBS patch with partial assembly.</span></div>
<div class="foldopen" id="foldopen00148" data-start="{" data-end="}">
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"><a class="line" href="namespacemfem.html#a3e2bfe302047a11e5c2045eb8be26c70"> 148</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="namespacemfem.html#a3e2bfe302047a11e5c2045eb8be26c70">GetReducedRule</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> nq, <span class="keyword">const</span> <span class="keywordtype">int</span> nd,</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <a class="code hl_class" href="classmfem_1_1Array2D.html">Array2D<real_t></a> <span class="keyword">const</span>& B,</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <a class="code hl_class" href="classmfem_1_1Array2D.html">Array2D<real_t></a> <span class="keyword">const</span>& G,</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> std::vector<int> minQ,</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> std::vector<int> maxQ,</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> std::vector<int> minD,</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> std::vector<int> maxD,</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> std::vector<int> minDD,</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> std::vector<int> maxDD,</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keyword">const</span> <a class="code hl_class" href="classmfem_1_1IntegrationRule.html">IntegrationRule</a> *ir,</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> zeroOrder,</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> std::vector<Vector> & reducedWeights,</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> std::vector<std::vector<int>> & reducedIDs)</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span>{</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> MFEM_VERIFY(B.<a class="code hl_function" href="classmfem_1_1Array2D.html#a94ed5f47f8b7289a3ce6b285d035eb39">NumRows</a>() == nq, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> MFEM_VERIFY(B.<a class="code hl_function" href="classmfem_1_1Array2D.html#a15bdbdb1a291b19caa8e3b5e38de8b52">NumCols</a>() == nd, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> MFEM_VERIFY(G.<a class="code hl_function" href="classmfem_1_1Array2D.html#a94ed5f47f8b7289a3ce6b285d035eb39">NumRows</a>() == nq, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> MFEM_VERIFY(G.<a class="code hl_function" href="classmfem_1_1Array2D.html#a15bdbdb1a291b19caa8e3b5e38de8b52">NumCols</a>() == nd, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> MFEM_VERIFY(ir-><a class="code hl_function" href="classmfem_1_1IntegrationRule.html#a65a041b5cd5417664446932fa946409d">GetNPoints</a>() == nq, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dof=0; dof<nd; ++dof)</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> {</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="comment">// Integrate diffusion for B(:,dof) against all other B(:,i)</span></div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">const</span> <span class="keywordtype">int</span> nc_dof = maxDD[dof] - minDD[dof] + 1;</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keyword">const</span> <span class="keywordtype">int</span> nw_dof = maxD[dof] - minD[dof] + 1;</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> </div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="comment">// G is of size nc_dof x nw_dof</span></div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> MFEM_VERIFY(nc_dof <= nw_dof, <span class="stringliteral">"The NNLS system for the reduced "</span></div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="stringliteral">"integration rule requires more full integration points. Try"</span></div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <span class="stringliteral">" increasing the order of the full integration rule."</span>);</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <a class="code hl_class" href="classmfem_1_1DenseMatrix.html">DenseMatrix</a> Gmat(nc_dof, nw_dof);</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> Gmat = 0.0;</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> w(nw_dof);</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> w = 0.0;</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = minD[dof]; qx <= maxD[dof]; ++qx)</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> {</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> Bq = zeroOrder ? B(qx,dof) : G(qx,dof);</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> </div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keyword">const</span> <a class="code hl_class" href="classmfem_1_1IntegrationPoint.html">IntegrationPoint</a> &ip = ir-><a class="code hl_function" href="classmfem_1_1IntegrationRule.html#ae209afed1f7caef80b5e4bccb0db0ad3">IntPoint</a>(qx);</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> w_qx = ip.<a class="code hl_variable" href="classmfem_1_1IntegrationPoint.html#ae999c19aea492bcca46729a9ba65220f">weight</a>;</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> w[qx - minD[dof]] = w_qx;</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> </div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dx = minQ[qx]; dx <= maxQ[qx]; ++dx)</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> {</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> Bd = zeroOrder ? B(qx,dx) : G(qx,dx);</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> </div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> Gmat(dx - minDD[dof], qx - minD[dof]) = Bq * Bd;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> }</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> }</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> </div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> sol(Gmat.<a class="code hl_function" href="classmfem_1_1Operator.html#a7e7e6e0ce7d3bd928c8f17d895ca2742">NumCols</a>());</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> </div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span><span class="preprocessor">#ifdef MFEM_USE_LAPACK</span></div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <a class="code hl_class" href="classmfem_1_1NNLSSolver.html">NNLSSolver</a> nnls;</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> nnls.<a class="code hl_function" href="classmfem_1_1NNLSSolver.html#a91c9115f4ed3c929b7e20faf9f6caf8f">SetOperator</a>(Gmat);</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> nnls.<a class="code hl_function" href="classmfem_1_1NNLSSolver.html#a7f523135ab926e635996ba8a0799eb95">Mult</a>(w, sol);</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span><span class="preprocessor">#else</span></div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> MFEM_ABORT(<span class="stringliteral">"NNLSSolver requires building with LAPACK"</span>);</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> </div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keywordtype">int</span> nnz = 0;</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<sol.<a class="code hl_function" href="classmfem_1_1Vector.html#aa9c5be6e53d0993d5851c276ba2a6079">Size</a>(); ++i)</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> {</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keywordflow">if</span> (sol(i) != 0.0)</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> {</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> nnz++;</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> }</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> }</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> </div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> MFEM_VERIFY(nnz > 0, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> wred(nnz);</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> std::vector<int> idnnz(nnz);</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> nnz = 0;</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<sol.<a class="code hl_function" href="classmfem_1_1Vector.html#aa9c5be6e53d0993d5851c276ba2a6079">Size</a>(); ++i)</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> {</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="keywordflow">if</span> (sol(i) != 0.0)</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> {</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> wred[nnz] = sol[i];</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> idnnz[nnz] = i;</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> nnz++;</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> }</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> }</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> reducedWeights.push_back(wred);</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> reducedIDs.push_back(idnnz);</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> }</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span>}</div>
</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> </div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span><span class="comment">// Adapted from AssemblePA</span></div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span><span class="keywordtype">void</span> DiffusionIntegrator::SetupPatchPA(<span class="keyword">const</span> <span class="keywordtype">int</span> patch, Mesh *mesh,</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> <span class="keywordtype">bool</span> unitWeights)</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span>{</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <span class="keyword">const</span> Array<int>& Q1D = pQ1D[patch];</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="keyword">const</span> Array<int>& D1D = pD1D[patch];</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="keyword">const</span> std::vector<Array2D<real_t>>& B = pB[patch];</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="keyword">const</span> std::vector<Array2D<real_t>>& G = pG[patch];</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> </div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="keyword">const</span> IntArrayVar2D& minD = pminD[patch];</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <span class="keyword">const</span> IntArrayVar2D& maxD = pmaxD[patch];</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="keyword">const</span> IntArrayVar2D& minQ = pminQ[patch];</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keyword">const</span> IntArrayVar2D& maxQ = pmaxQ[patch];</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> </div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <span class="keyword">const</span> IntArrayVar2D& minDD = pminDD[patch];</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="keyword">const</span> IntArrayVar2D& maxDD = pmaxDD[patch];</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> </div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="keyword">const</span> Array<const IntegrationRule*>& ir1d = pir1d[patch];</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> </div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> MFEM_VERIFY(Q1D.Size() == 3, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> </div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="keyword">const</span> <span class="keywordtype">int</span> dims = dim; <span class="comment">// TODO: generalize</span></div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</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 id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="keywordtype">int</span> nq = Q1D[0];</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=1; i<dim; ++i)</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> {</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> nq *= Q1D[i];</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> }</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> </div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="keywordtype">int</span> coeffDim = 1;</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> Vector coeff;</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> Array<real_t> weights(nq);</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <span class="keyword">const</span> <span class="keywordtype">int</span> MQfullDim = <a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a> ? <a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a>-><a class="code hl_function" href="classmfem_1_1MatrixCoefficient.html#aff9921a9985d0e45db82a3f25c9735dd">GetHeight</a>() * <a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a>-><a class="code hl_function" href="classmfem_1_1MatrixCoefficient.html#aa57c2065f48b38c4f8848a50c44ef224">GetWidth</a>() : 0;</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> IntegrationPoint ip;</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> Vector jac(dim * dim * nq); <span class="comment">// Computed as in GeometricFactors::Compute</span></div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> </div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qz=0; qz<Q1D[2]; ++qz)</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> {</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy=0; qy<Q1D[1]; ++qy)</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> {</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx=0; qx<Q1D[0]; ++qx)</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> {</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a> = qx + (qy * Q1D[0]) + (qz * Q1D[0] * Q1D[1]);</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a97a76a49268c3e6e890288a85d08c2dd">GetIntegrationPointFrom1D</a>(patch, qx, qy, qz, ip);</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <span class="keyword">const</span> <span class="keywordtype">int</span> e = <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a296589edfeaa53cacb6347f489599c62">GetPointElement</a>(patch, qx, qy, qz);</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> ElementTransformation *tr = mesh->GetElementTransformation(e);</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> </div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> weights[<a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a>] = ip.weight;</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> </div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> tr->SetIntPoint(&ip);</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> </div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <span class="keyword">const</span> DenseMatrix& Jp = tr->Jacobian();</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++i)</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++j)</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> {</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> jac[<a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a> + ((i + (j * <a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>)) * nq)] = Jp(i,j);</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> }</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> }</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> }</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> }</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> </div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keywordflow">if</span> (<span class="keyword">auto</span> *SMQ = <span class="keyword">dynamic_cast<</span>SymmetricMatrixCoefficient *<span class="keyword">></span>(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a>))</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> {</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> MFEM_VERIFY(SMQ->GetSize() == dim, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> coeffDim = symmDims;</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> coeff.SetSize(symmDims * nq);</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> </div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> DenseSymmetricMatrix sym_mat;</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> sym_mat.SetSize(dim);</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> </div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> <span class="keyword">auto</span> C = <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(coeff.HostWrite(), symmDims, nq);</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qz=0; qz<Q1D[2]; ++qz)</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> {</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy=0; qy<Q1D[1]; ++qy)</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> {</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx=0; qx<Q1D[0]; ++qx)</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> {</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a> = qx + (qy * Q1D[0]) + (qz * Q1D[0] * Q1D[1]);</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="keyword">const</span> <span class="keywordtype">int</span> e = <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a296589edfeaa53cacb6347f489599c62">GetPointElement</a>(patch, qx, qy, qz);</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> ElementTransformation *tr = mesh->GetElementTransformation(e);</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a97a76a49268c3e6e890288a85d08c2dd">GetIntegrationPointFrom1D</a>(patch, qx, qy, qz, ip);</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> </div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> SMQ->Eval(sym_mat, *tr, ip);</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keywordtype">int</span> cnt = 0;</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++i)</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=i; j<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++j, ++cnt)</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> {</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> C(cnt, <a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a>) = sym_mat(i,j);</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> }</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> }</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> }</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> }</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> }</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a>)</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> {</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> symmetric = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> MFEM_VERIFY(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a>-><a class="code hl_function" href="classmfem_1_1MatrixCoefficient.html#aff9921a9985d0e45db82a3f25c9735dd">GetHeight</a>() == dim && <a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a>-><a class="code hl_function" href="classmfem_1_1MatrixCoefficient.html#aa57c2065f48b38c4f8848a50c44ef224">GetWidth</a>() == dim, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> </div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> coeffDim = MQfullDim;</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> </div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> coeff.SetSize(MQfullDim * nq);</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> </div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> DenseMatrix mat;</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> mat.SetSize(dim);</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> </div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="keyword">auto</span> C = <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(coeff.HostWrite(), MQfullDim, nq);</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qz=0; qz<Q1D[2]; ++qz)</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> {</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy=0; qy<Q1D[1]; ++qy)</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> {</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx=0; qx<Q1D[0]; ++qx)</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> {</div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a> = qx + (qy * Q1D[0]) + (qz * Q1D[0] * Q1D[1]);</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> <span class="keyword">const</span> <span class="keywordtype">int</span> e = <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a296589edfeaa53cacb6347f489599c62">GetPointElement</a>(patch, qx, qy, qz);</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> ElementTransformation *tr = mesh->GetElementTransformation(e);</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a97a76a49268c3e6e890288a85d08c2dd">GetIntegrationPointFrom1D</a>(patch, qx, qy, qz, ip);</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> </div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a>-><a class="code hl_function" href="classmfem_1_1MatrixCoefficient.html#a9026dc9110645d2b4700b8f75107b647">Eval</a>(mat, *tr, ip);</div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++i)</div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++j)</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> {</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> C(j+(i*dim), <a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a>) = mat(i,j);</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> }</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> }</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> }</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> }</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> }</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a7f174d75c529dc849abbd6d1c7c3c5c0">VQ</a>)</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> {</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> MFEM_VERIFY(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a7f174d75c529dc849abbd6d1c7c3c5c0">VQ</a>-><a class="code hl_function" href="classmfem_1_1VectorCoefficient.html#a47cd974a280f20e0d4b7f8ce43ea1597">GetVDim</a>() == dim, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> coeffDim = <a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a7f174d75c529dc849abbd6d1c7c3c5c0">VQ</a>-><a class="code hl_function" href="classmfem_1_1VectorCoefficient.html#a47cd974a280f20e0d4b7f8ce43ea1597">GetVDim</a>();</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> coeff.SetSize(coeffDim * nq);</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> <span class="keyword">auto</span> C = <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(coeff.HostWrite(), coeffDim, nq);</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> Vector DM(coeffDim);</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qz=0; qz<Q1D[2]; ++qz)</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> {</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy=0; qy<Q1D[1]; ++qy)</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> {</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx=0; qx<Q1D[0]; ++qx)</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> {</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a> = qx + (qy * Q1D[0]) + (qz * Q1D[0] * Q1D[1]);</div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="keyword">const</span> <span class="keywordtype">int</span> e = <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a296589edfeaa53cacb6347f489599c62">GetPointElement</a>(patch, qx, qy, qz);</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> ElementTransformation *tr = mesh->GetElementTransformation(e);</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a97a76a49268c3e6e890288a85d08c2dd">GetIntegrationPointFrom1D</a>(patch, qx, qy, qz, ip);</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> </div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a7f174d75c529dc849abbd6d1c7c3c5c0">VQ</a>-><a class="code hl_function" href="classmfem_1_1VectorCoefficient.html#ac85f5bb9e09019b15c9543f4f41b37d5">Eval</a>(DM, *tr, ip);</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<coeffDim; ++i)</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> {</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> C(i, <a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a>) = DM[i];</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> }</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> }</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> }</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> }</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> }</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a3d43f9601c82611df507cf8c997036cd">Q</a> == <span class="keyword">nullptr</span>)</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> {</div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> coeff.SetSize(1);</div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> coeff(0) = 1.0;</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> }</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ConstantCoefficient* cQ = <span class="keyword">dynamic_cast<</span>ConstantCoefficient*<span class="keyword">></span>(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a3d43f9601c82611df507cf8c997036cd">Q</a>))</div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> {</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> coeff.SetSize(1);</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> coeff(0) = cQ->constant;</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> }</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<span class="keyword">dynamic_cast<</span>QuadratureFunctionCoefficient*<span class="keyword">></span>(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a3d43f9601c82611df507cf8c997036cd">Q</a>))</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> {</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> MFEM_ABORT(<span class="stringliteral">"QuadratureFunction not supported yet\n"</span>);</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> }</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> {</div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> coeff.SetSize(nq);</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> <span class="keyword">auto</span> C = <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(coeff.HostWrite(), nq);</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qz=0; qz<Q1D[2]; ++qz)</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> {</div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy=0; qy<Q1D[1]; ++qy)</div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> {</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx=0; qx<Q1D[0]; ++qx)</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> {</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a> = qx + (qy * Q1D[0]) + (qz * Q1D[0] * Q1D[1]);</div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> <span class="keyword">const</span> <span class="keywordtype">int</span> e = <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a296589edfeaa53cacb6347f489599c62">GetPointElement</a>(patch, qx, qy, qz);</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> ElementTransformation *tr = mesh->GetElementTransformation(e);</div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a97a76a49268c3e6e890288a85d08c2dd">GetIntegrationPointFrom1D</a>(patch, qx, qy, qz, ip);</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> </div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> C(<a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a>) = <a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a3d43f9601c82611df507cf8c997036cd">Q</a>-><a class="code hl_function" href="classmfem_1_1Coefficient.html#afff93dcef1f8c3392b10680106899962">Eval</a>(*tr, ip);</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> }</div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> }</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> }</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> }</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> </div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> <span class="keywordflow">if</span> (unitWeights)</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> {</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> weights = 1.0;</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> }</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> </div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> <a class="code hl_function" href="namespacemfem.html#a988e6432bfcdf2b222f981865405a680">SetupPatch3D</a>(Q1D[0], Q1D[1], Q1D[2], coeffDim, symmetric, weights, jac,</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> coeff, pa_data);</div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> </div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> numPatches = mesh->NURBSext->GetNP();</div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> </div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classmfem_1_1NonlinearFormIntegrator.html#a8a06594d3c792a0435282b3d3796e3fa">integrationMode</a> != <a class="code hl_enumvalue" href="classmfem_1_1NonlinearFormIntegrator.html#a776f5ab0a100092ff834dfc31a6d70baa8894d8021b087804419be897284c0843">PATCHWISE_REDUCED</a>)</div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> {</div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> }</div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> </div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> <span class="comment">// Solve for reduced 1D quadrature rules</span></div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> <span class="keyword">const</span> <span class="keywordtype">int</span> totalDim = numPatches * <a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a> * numTypes;</div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> reducedWeights.resize(totalDim);</div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> reducedIDs.resize(totalDim);</div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> </div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> <span class="keyword">auto</span> rw = <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(reducedWeights.data(), numTypes, dim, numPatches);</div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> <span class="keyword">auto</span> rid = <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(reducedIDs.data(), numTypes, dim, numPatches);</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> </div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d=0; d<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++d)</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> {</div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> <span class="comment">// The reduced rules could be cached to avoid repeated computation, but</span></div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> <span class="comment">// the cost of this setup seems low.</span></div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> <a class="code hl_function" href="namespacemfem.html#a3e2bfe302047a11e5c2045eb8be26c70">GetReducedRule</a>(Q1D[d], D1D[d], B[d], G[d],</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> minQ[d], maxQ[d],</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> minD[d], maxD[d],</div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> minDD[d], maxDD[d], ir1d[d], <span class="keyword">true</span>,</div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> rw(0,d,patch), rid(0,d,patch));</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> <a class="code hl_function" href="namespacemfem.html#a3e2bfe302047a11e5c2045eb8be26c70">GetReducedRule</a>(Q1D[d], D1D[d], B[d], G[d],</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> minQ[d], maxQ[d],</div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span> minD[d], maxD[d],</div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> minDD[d], maxDD[d], ir1d[d], <span class="keyword">false</span>,</div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"> 468</span> rw(1,d,patch), rid(1,d,patch));</div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> }</div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span>}</div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span> </div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"> 472</span><span class="comment">// This version uses full 1D quadrature rules, taking into account the</span></div>
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno"> 473</span><span class="comment">// minimum interaction between basis functions and integration points.</span></div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span><span class="keywordtype">void</span> DiffusionIntegrator::AssemblePatchMatrix_fullQuadrature(</div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span> <span class="keyword">const</span> <span class="keywordtype">int</span> patch, <span class="keyword">const</span> FiniteElementSpace &fes, SparseMatrix*& smat)</div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span>{</div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span> MFEM_VERIFY(<a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>, <span class="stringliteral">"patchRules must be defined"</span>);</div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span> <a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a> = <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a0d97e0fa77cff631c327af482c4e69c5">GetDim</a>();</div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span> <span class="keyword">const</span> <span class="keywordtype">int</span> spaceDim = <a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; <span class="comment">// TODO: generalize?</span></div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span> </div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span> Mesh *mesh = fes.GetMesh();</div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> </div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a7f174d75c529dc849abbd6d1c7c3c5c0">VQ</a>)</div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span> {</div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> MFEM_VERIFY(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a7f174d75c529dc849abbd6d1c7c3c5c0">VQ</a>-><a class="code hl_function" href="classmfem_1_1VectorCoefficient.html#a47cd974a280f20e0d4b7f8ce43ea1597">GetVDim</a>() == spaceDim,</div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> <span class="stringliteral">"Unexpected dimension for VectorCoefficient"</span>);</div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> }</div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a>)</div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> {</div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> MFEM_VERIFY(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a>-><a class="code hl_function" href="classmfem_1_1MatrixCoefficient.html#aa57c2065f48b38c4f8848a50c44ef224">GetWidth</a>() == spaceDim,</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> <span class="stringliteral">"Unexpected width for MatrixCoefficient"</span>);</div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> MFEM_VERIFY(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a>-><a class="code hl_function" href="classmfem_1_1MatrixCoefficient.html#aff9921a9985d0e45db82a3f25c9735dd">GetHeight</a>() == spaceDim,</div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> <span class="stringliteral">"Unexpected height for MatrixCoefficient"</span>);</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> }</div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> </div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span><span class="preprocessor">#ifdef MFEM_THREAD_SAFE</span></div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> DenseMatrix M(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a> ? spaceDim : 0);</div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span> Vector D(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a7f174d75c529dc849abbd6d1c7c3c5c0">VQ</a> ? <a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a7f174d75c529dc849abbd6d1c7c3c5c0">VQ</a>-><a class="code hl_function" href="classmfem_1_1VectorCoefficient.html#a47cd974a280f20e0d4b7f8ce43ea1597">GetVDim</a>() : 0);</div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span><span class="preprocessor">#else</span></div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span> M.<a class="code hl_function" href="classmfem_1_1Vector.html#ac1e67bd3ee82db59573950d19897c149">SetSize</a>(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a4bbd7d8a06121f94ae6a3415a6e165a1">MQ</a> ? spaceDim : 0);</div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> D.<a class="code hl_function" href="classmfem_1_1Vector.html#ac1e67bd3ee82db59573950d19897c149">SetSize</a>(<a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a7f174d75c529dc849abbd6d1c7c3c5c0">VQ</a> ? <a class="code hl_variable" href="classmfem_1_1DiffusionIntegrator.html#a7f174d75c529dc849abbd6d1c7c3c5c0">VQ</a>-><a class="code hl_function" href="classmfem_1_1VectorCoefficient.html#a47cd974a280f20e0d4b7f8ce43ea1597">GetVDim</a>() : 0);</div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> </div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> SetupPatchBasisData(mesh, patch);</div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> </div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> SetupPatchPA(patch, mesh);</div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> </div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> <span class="keyword">const</span> Array<int>& Q1D = pQ1D[patch];</div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> <span class="keyword">const</span> Array<int>& D1D = pD1D[patch];</div>
<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span> <span class="keyword">const</span> std::vector<Array2D<real_t>>& B = pB[patch];</div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> <span class="keyword">const</span> std::vector<Array2D<real_t>>& G = pG[patch];</div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> </div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> <span class="keyword">const</span> IntArrayVar2D& minD = pminD[patch];</div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> <span class="keyword">const</span> IntArrayVar2D& maxD = pmaxD[patch];</div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> <span class="keyword">const</span> IntArrayVar2D& minQ = pminQ[patch];</div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> <span class="keyword">const</span> IntArrayVar2D& maxQ = pmaxQ[patch];</div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> </div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> <span class="keyword">const</span> IntArrayVar2D& minDD = pminDD[patch];</div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> <span class="keyword">const</span> IntArrayVar2D& maxDD = pmaxDD[patch];</div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> </div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> <span class="keywordtype">int</span> ndof = D1D[0];</div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d=1; d<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++d)</div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> {</div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> ndof *= D1D[d];</div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span> }</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> </div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span> MFEM_VERIFY(3 == dim, <span class="stringliteral">"Only 3D so far"</span>);</div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span> </div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span> <span class="comment">// Setup quadrature point data.</span></div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"> 530</span> <span class="keyword">const</span> <span class="keyword">auto</span> qd = <a class="code hl_function" href="namespacemfem.html#a563099f464fffe3f3637b8bd9916593b">Reshape</a>(pa_data.<a class="code hl_function" href="classmfem_1_1Vector.html#a1cc86fedf087d4256b64bb4091a12712">Read</a>(), Q1D[0]*Q1D[1]*Q1D[2],</div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno"> 531</span> (symmetric ? 6 : 9));</div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"> 532</span> </div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> <span class="comment">// NOTE: the following is adapted from PADiffusionApply3D.</span></div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> std::vector<Array3D<real_t>> grad(dim);</div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> </div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d=0; d<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++d)</div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> {</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> grad[d].SetSize(Q1D[0], Q1D[1], Q1D[2]);</div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> }</div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"> 540</span> </div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span> Array3D<real_t> gradDXY(D1D[0], D1D[1], dim);</div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> Array2D<real_t> gradDX(D1D[0], dim);</div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span> </div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno"> 544</span> <span class="keywordtype">int</span> nd[3];</div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno"> 545</span> Array3D<int> cdofs;</div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno"> 546</span> </div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span> <span class="keywordtype">int</span> *smati = <span class="keyword">nullptr</span>;</div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"> 548</span> <span class="keywordtype">int</span> *smatj = <span class="keyword">nullptr</span>;</div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> *smata = <span class="keyword">nullptr</span>;</div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"> 550</span> <span class="keywordtype">int</span> nnz = 0;</div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span> </div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> Array<int> maxw(dim);</div>
<div class="line"><a id="l00553" name="l00553"></a><span class="lineno"> 553</span> maxw = 0;</div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"> 554</span> </div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno"> 555</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d=0; d<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++d)</div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno"> 556</span> {</div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"> 557</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<D1D[d]; ++i)</div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"> 558</span> {</div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span> maxw[d] = std::max(maxw[d], maxDD[d][i] - minDD[d][i] + 1);</div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> }</div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> }</div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> </div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span> cdofs.SetSize(maxw[0], maxw[1], maxw[2]);</div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"> 564</span> </div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"> 565</span> <span class="comment">// Compute sparsity of the sparse matrix</span></div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span> smati = Memory<int>(ndof+1);</div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span> smati[0] = 0;</div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno"> 568</span> </div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno"> 569</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dof_j=0; dof_j<ndof; ++dof_j)</div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno"> 570</span> {</div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno"> 571</span> <span class="keyword">const</span> <span class="keywordtype">int</span> jdz = dof_j / (D1D[0] * D1D[1]);</div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span> <span class="keyword">const</span> <span class="keywordtype">int</span> jdy = (dof_j - (jdz * D1D[0] * D1D[1])) / D1D[0];</div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"> 573</span> <span class="keyword">const</span> <span class="keywordtype">int</span> jdx = dof_j - (jdz * D1D[0] * D1D[1]) - (jdy * D1D[0]);</div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"> 574</span> </div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> MFEM_VERIFY(jdx + (D1D[0] * (jdy + (D1D[1] * jdz))) == dof_j, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span> </div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span> <span class="keyword">const</span> <span class="keywordtype">int</span> jd[3] = {jdx, jdy, jdz};</div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno"> 578</span> <span class="keywordtype">int</span> ndd = 1;</div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno"> 579</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++i)</div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno"> 580</span> {</div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno"> 581</span> nd[i] = maxDD[i][jd[i]] - minDD[i][jd[i]] + 1;</div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span> ndd *= nd[i];</div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"> 583</span> }</div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span> </div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> smati[dof_j + 1] = smati[dof_j] + ndd;</div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span> nnz += ndd;</div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span> }</div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno"> 588</span> </div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno"> 589</span> smatj = Memory<int>(nnz);</div>
<div class="line"><a id="l00590" name="l00590"></a><span class="lineno"> 590</span> smata = Memory<real_t>(nnz);</div>
<div class="line"><a id="l00591" name="l00591"></a><span class="lineno"> 591</span> </div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<nnz; ++i)</div>
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"> 593</span> {</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span> smatj[i] = -1;</div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span> smata[i] = 0.0;</div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span> }</div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span> </div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno"> 598</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dof_j=0; dof_j<ndof; ++dof_j)</div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno"> 599</span> {</div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno"> 600</span> <span class="keyword">const</span> <span class="keywordtype">int</span> jdz = dof_j / (D1D[0] * D1D[1]);</div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno"> 601</span> <span class="keyword">const</span> <span class="keywordtype">int</span> jdy = (dof_j - (jdz * D1D[0] * D1D[1])) / D1D[0];</div>
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"> 602</span> <span class="keyword">const</span> <span class="keywordtype">int</span> jdx = dof_j - (jdz * D1D[0] * D1D[1]) - (jdy * D1D[0]);</div>
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"> 603</span> </div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"> 604</span> <span class="keyword">const</span> <span class="keywordtype">int</span> jd[3] = {jdx, jdy, jdz};</div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++i)</div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span> {</div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> nd[i] = maxDD[i][jd[i]] - minDD[i][jd[i]] + 1;</div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno"> 608</span> }</div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno"> 609</span> </div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno"> 610</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<nd[0]; ++i)</div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno"> 611</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j<nd[1]; ++j)</div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"> 612</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k=0; k<nd[2]; ++k)</div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"> 613</span> {</div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span> cdofs(i,j,k) = minDD[0][jdx] + i + (D1D[0] *</div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"> 615</span> (minDD[1][jdy] + j + (D1D[1] * (minDD[2][jdz] + k))));</div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"> 616</span> }</div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> </div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno"> 618</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d=0; d<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++d)</div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno"> 619</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qz = minD[2][jdz]; qz <= maxD[2][jdz]; ++qz)</div>
<div class="line"><a id="l00620" name="l00620"></a><span class="lineno"> 620</span> {</div>
<div class="line"><a id="l00621" name="l00621"></a><span class="lineno"> 621</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy = minD[1][jdy]; qy <= maxD[1][jdy]; ++qy)</div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span> {</div>
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno"> 623</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = minD[0][jdx]; qx <= maxD[0][jdx]; ++qx)</div>
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno"> 624</span> {</div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno"> 625</span> grad[d](qx,qy,qz) = 0.0;</div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno"> 626</span> }</div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno"> 627</span> }</div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno"> 628</span> }</div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno"> 629</span> </div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno"> 630</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qz = minD[2][jdz]; qz <= maxD[2][jdz]; ++qz)</div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno"> 631</span> {</div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno"> 632</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wz = B[2](qz,jdz);</div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno"> 633</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wDz = G[2](qz,jdz);</div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno"> 634</span> </div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno"> 635</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy = minD[1][jdy]; qy <= maxD[1][jdy]; ++qy)</div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno"> 636</span> {</div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"> 637</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wy = B[1](qy,jdy);</div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno"> 638</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wDy = G[1](qy,jdy);</div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno"> 639</span> </div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno"> 640</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = minD[0][jdx]; qx <= maxD[0][jdx]; ++qx)</div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno"> 641</span> {</div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno"> 642</span> <span class="keyword">const</span> <span class="keywordtype">int</span> q = qx + ((qy + (qz * Q1D[1])) * Q1D[0]);</div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno"> 643</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> O11 = qd(q,0);</div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno"> 644</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> O12 = qd(q,1);</div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno"> 645</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> O13 = qd(q,2);</div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno"> 646</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> O21 = symmetric ? O12 : qd(q,3);</div>
<div class="line"><a id="l00647" name="l00647"></a><span class="lineno"> 647</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> O22 = symmetric ? qd(q,3) : qd(q,4);</div>
<div class="line"><a id="l00648" name="l00648"></a><span class="lineno"> 648</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> O23 = symmetric ? qd(q,4) : qd(q,5);</div>
<div class="line"><a id="l00649" name="l00649"></a><span class="lineno"> 649</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> O31 = symmetric ? O13 : qd(q,6);</div>
<div class="line"><a id="l00650" name="l00650"></a><span class="lineno"> 650</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> O32 = symmetric ? O23 : qd(q,7);</div>
<div class="line"><a id="l00651" name="l00651"></a><span class="lineno"> 651</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> O33 = symmetric ? qd(q,5) : qd(q,8);</div>
<div class="line"><a id="l00652" name="l00652"></a><span class="lineno"> 652</span> </div>
<div class="line"><a id="l00653" name="l00653"></a><span class="lineno"> 653</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wx = B[0](qx,jdx);</div>
<div class="line"><a id="l00654" name="l00654"></a><span class="lineno"> 654</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wDx = G[0](qx,jdx);</div>
<div class="line"><a id="l00655" name="l00655"></a><span class="lineno"> 655</span> </div>
<div class="line"><a id="l00656" name="l00656"></a><span class="lineno"> 656</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> gradX = wDx * wy * wz;</div>
<div class="line"><a id="l00657" name="l00657"></a><span class="lineno"> 657</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> gradY = wx * wDy * wz;</div>
<div class="line"><a id="l00658" name="l00658"></a><span class="lineno"> 658</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> gradZ = wx * wy * wDz;</div>
<div class="line"><a id="l00659" name="l00659"></a><span class="lineno"> 659</span> </div>
<div class="line"><a id="l00660" name="l00660"></a><span class="lineno"> 660</span> grad[0](qx,qy,qz) = (O11*gradX)+(O12*gradY)+(O13*gradZ);</div>
<div class="line"><a id="l00661" name="l00661"></a><span class="lineno"> 661</span> grad[1](qx,qy,qz) = (O21*gradX)+(O22*gradY)+(O23*gradZ);</div>
<div class="line"><a id="l00662" name="l00662"></a><span class="lineno"> 662</span> grad[2](qx,qy,qz) = (O31*gradX)+(O32*gradY)+(O33*gradZ);</div>
<div class="line"><a id="l00663" name="l00663"></a><span class="lineno"> 663</span> }</div>
<div class="line"><a id="l00664" name="l00664"></a><span class="lineno"> 664</span> }</div>
<div class="line"><a id="l00665" name="l00665"></a><span class="lineno"> 665</span> }</div>
<div class="line"><a id="l00666" name="l00666"></a><span class="lineno"> 666</span> </div>
<div class="line"><a id="l00667" name="l00667"></a><span class="lineno"> 667</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qz = minD[2][jdz]; qz <= maxD[2][jdz]; ++qz)</div>
<div class="line"><a id="l00668" name="l00668"></a><span class="lineno"> 668</span> {</div>
<div class="line"><a id="l00669" name="l00669"></a><span class="lineno"> 669</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dy = minDD[1][jdy]; dy <= maxDD[1][jdy]; ++dy)</div>
<div class="line"><a id="l00670" name="l00670"></a><span class="lineno"> 670</span> {</div>
<div class="line"><a id="l00671" name="l00671"></a><span class="lineno"> 671</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dx = minDD[0][jdx]; dx <= maxDD[0][jdx]; ++dx)</div>
<div class="line"><a id="l00672" name="l00672"></a><span class="lineno"> 672</span> {</div>
<div class="line"><a id="l00673" name="l00673"></a><span class="lineno"> 673</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d=0; d<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++d)</div>
<div class="line"><a id="l00674" name="l00674"></a><span class="lineno"> 674</span> {</div>
<div class="line"><a id="l00675" name="l00675"></a><span class="lineno"> 675</span> gradDXY(dx,dy,d) = 0.0;</div>
<div class="line"><a id="l00676" name="l00676"></a><span class="lineno"> 676</span> }</div>
<div class="line"><a id="l00677" name="l00677"></a><span class="lineno"> 677</span> }</div>
<div class="line"><a id="l00678" name="l00678"></a><span class="lineno"> 678</span> }</div>
<div class="line"><a id="l00679" name="l00679"></a><span class="lineno"> 679</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qy = minD[1][jdy]; qy <= maxD[1][jdy]; ++qy)</div>
<div class="line"><a id="l00680" name="l00680"></a><span class="lineno"> 680</span> {</div>
<div class="line"><a id="l00681" name="l00681"></a><span class="lineno"> 681</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dx = minDD[0][jdx]; dx <= maxDD[0][jdx]; ++dx)</div>
<div class="line"><a id="l00682" name="l00682"></a><span class="lineno"> 682</span> {</div>
<div class="line"><a id="l00683" name="l00683"></a><span class="lineno"> 683</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d=0; d<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++d)</div>
<div class="line"><a id="l00684" name="l00684"></a><span class="lineno"> 684</span> {</div>
<div class="line"><a id="l00685" name="l00685"></a><span class="lineno"> 685</span> gradDX(dx,d) = 0.0;</div>
<div class="line"><a id="l00686" name="l00686"></a><span class="lineno"> 686</span> }</div>
<div class="line"><a id="l00687" name="l00687"></a><span class="lineno"> 687</span> }</div>
<div class="line"><a id="l00688" name="l00688"></a><span class="lineno"> 688</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> qx = minD[0][jdx]; qx <= maxD[0][jdx]; ++qx)</div>
<div class="line"><a id="l00689" name="l00689"></a><span class="lineno"> 689</span> {</div>
<div class="line"><a id="l00690" name="l00690"></a><span class="lineno"> 690</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> gX = grad[0](qx,qy,qz);</div>
<div class="line"><a id="l00691" name="l00691"></a><span class="lineno"> 691</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> gY = grad[1](qx,qy,qz);</div>
<div class="line"><a id="l00692" name="l00692"></a><span class="lineno"> 692</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> gZ = grad[2](qx,qy,qz);</div>
<div class="line"><a id="l00693" name="l00693"></a><span class="lineno"> 693</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dx = minQ[0][qx]; dx <= maxQ[0][qx]; ++dx)</div>
<div class="line"><a id="l00694" name="l00694"></a><span class="lineno"> 694</span> {</div>
<div class="line"><a id="l00695" name="l00695"></a><span class="lineno"> 695</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wx = B[0](qx,dx);</div>
<div class="line"><a id="l00696" name="l00696"></a><span class="lineno"> 696</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wDx = G[0](qx,dx);</div>
<div class="line"><a id="l00697" name="l00697"></a><span class="lineno"> 697</span> gradDX(dx,0) += gX * wDx;</div>
<div class="line"><a id="l00698" name="l00698"></a><span class="lineno"> 698</span> gradDX(dx,1) += gY * wx;</div>
<div class="line"><a id="l00699" name="l00699"></a><span class="lineno"> 699</span> gradDX(dx,2) += gZ * wx;</div>
<div class="line"><a id="l00700" name="l00700"></a><span class="lineno"> 700</span> }</div>
<div class="line"><a id="l00701" name="l00701"></a><span class="lineno"> 701</span> }</div>
<div class="line"><a id="l00702" name="l00702"></a><span class="lineno"> 702</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dy = minQ[1][qy]; dy <= maxQ[1][qy]; ++dy)</div>
<div class="line"><a id="l00703" name="l00703"></a><span class="lineno"> 703</span> {</div>
<div class="line"><a id="l00704" name="l00704"></a><span class="lineno"> 704</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wy = B[1](qy,dy);</div>
<div class="line"><a id="l00705" name="l00705"></a><span class="lineno"> 705</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wDy = G[1](qy,dy);</div>
<div class="line"><a id="l00706" name="l00706"></a><span class="lineno"> 706</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dx = minDD[0][jdx]; dx <= maxDD[0][jdx]; ++dx)</div>
<div class="line"><a id="l00707" name="l00707"></a><span class="lineno"> 707</span> {</div>
<div class="line"><a id="l00708" name="l00708"></a><span class="lineno"> 708</span> gradDXY(dx,dy,0) += gradDX(dx,0) * wy;</div>
<div class="line"><a id="l00709" name="l00709"></a><span class="lineno"> 709</span> gradDXY(dx,dy,1) += gradDX(dx,1) * wDy;</div>
<div class="line"><a id="l00710" name="l00710"></a><span class="lineno"> 710</span> gradDXY(dx,dy,2) += gradDX(dx,2) * wy;</div>
<div class="line"><a id="l00711" name="l00711"></a><span class="lineno"> 711</span> }</div>
<div class="line"><a id="l00712" name="l00712"></a><span class="lineno"> 712</span> }</div>
<div class="line"><a id="l00713" name="l00713"></a><span class="lineno"> 713</span> }</div>
<div class="line"><a id="l00714" name="l00714"></a><span class="lineno"> 714</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dz = minQ[2][qz]; dz <= maxQ[2][qz]; ++dz)</div>
<div class="line"><a id="l00715" name="l00715"></a><span class="lineno"> 715</span> {</div>
<div class="line"><a id="l00716" name="l00716"></a><span class="lineno"> 716</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wz = B[2](qz,dz);</div>
<div class="line"><a id="l00717" name="l00717"></a><span class="lineno"> 717</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> wDz = G[2](qz,dz);</div>
<div class="line"><a id="l00718" name="l00718"></a><span class="lineno"> 718</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dy = minDD[1][jdy]; dy <= maxDD[1][jdy]; ++dy)</div>
<div class="line"><a id="l00719" name="l00719"></a><span class="lineno"> 719</span> {</div>
<div class="line"><a id="l00720" name="l00720"></a><span class="lineno"> 720</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> dx = minDD[0][jdx]; dx <= maxDD[0][jdx]; ++dx)</div>
<div class="line"><a id="l00721" name="l00721"></a><span class="lineno"> 721</span> {</div>
<div class="line"><a id="l00722" name="l00722"></a><span class="lineno"> 722</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> v = (gradDXY(dx,dy,0) * wz) +</div>
<div class="line"><a id="l00723" name="l00723"></a><span class="lineno"> 723</span> (gradDXY(dx,dy,1) * wz) +</div>
<div class="line"><a id="l00724" name="l00724"></a><span class="lineno"> 724</span> (gradDXY(dx,dy,2) * wDz);</div>
<div class="line"><a id="l00725" name="l00725"></a><span class="lineno"> 725</span> </div>
<div class="line"><a id="l00726" name="l00726"></a><span class="lineno"> 726</span> <span class="keyword">const</span> <span class="keywordtype">int</span> loc = dx - minDD[0][jd[0]] + (nd[0] * (dy - minDD[1][jd[1]] +</div>
<div class="line"><a id="l00727" name="l00727"></a><span class="lineno"> 727</span> (nd[1] * (dz - minDD[2][jd[2]]))));</div>
<div class="line"><a id="l00728" name="l00728"></a><span class="lineno"> 728</span> </div>
<div class="line"><a id="l00729" name="l00729"></a><span class="lineno"> 729</span> <span class="keyword">const</span> <span class="keywordtype">int</span> odof = cdofs(dx - minDD[0][jd[0]],</div>
<div class="line"><a id="l00730" name="l00730"></a><span class="lineno"> 730</span> dy - minDD[1][jd[1]],</div>
<div class="line"><a id="l00731" name="l00731"></a><span class="lineno"> 731</span> dz - minDD[2][jd[2]]);</div>
<div class="line"><a id="l00732" name="l00732"></a><span class="lineno"> 732</span> </div>
<div class="line"><a id="l00733" name="l00733"></a><span class="lineno"> 733</span> <span class="keyword">const</span> <span class="keywordtype">int</span> m = smati[dof_j] + loc;</div>
<div class="line"><a id="l00734" name="l00734"></a><span class="lineno"> 734</span> MFEM_ASSERT(smatj[m] == odof || smatj[m] == -1, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00735" name="l00735"></a><span class="lineno"> 735</span> smatj[m] = odof;</div>
<div class="line"><a id="l00736" name="l00736"></a><span class="lineno"> 736</span> smata[m] += v;</div>
<div class="line"><a id="l00737" name="l00737"></a><span class="lineno"> 737</span> } <span class="comment">// dx</span></div>
<div class="line"><a id="l00738" name="l00738"></a><span class="lineno"> 738</span> } <span class="comment">// dy</span></div>
<div class="line"><a id="l00739" name="l00739"></a><span class="lineno"> 739</span> } <span class="comment">// dz</span></div>
<div class="line"><a id="l00740" name="l00740"></a><span class="lineno"> 740</span> } <span class="comment">// qz</span></div>
<div class="line"><a id="l00741" name="l00741"></a><span class="lineno"> 741</span> } <span class="comment">// dof_j</span></div>
<div class="line"><a id="l00742" name="l00742"></a><span class="lineno"> 742</span> </div>
<div class="line"><a id="l00743" name="l00743"></a><span class="lineno"> 743</span> <span class="comment">// Note that smat takes ownership of its input data.</span></div>
<div class="line"><a id="l00744" name="l00744"></a><span class="lineno"> 744</span> smat = <span class="keyword">new</span> SparseMatrix(smati, smatj, smata, ndof, ndof);</div>
<div class="line"><a id="l00745" name="l00745"></a><span class="lineno"> 745</span>}</div>
<div class="line"><a id="l00746" name="l00746"></a><span class="lineno"> 746</span> </div>
<div class="line"><a id="l00747" name="l00747"></a><span class="lineno"> 747</span><span class="keywordtype">void</span> DiffusionIntegrator::SetupPatchBasisData(Mesh *mesh, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> patch)</div>
<div class="line"><a id="l00748" name="l00748"></a><span class="lineno"> 748</span>{</div>
<div class="line"><a id="l00749" name="l00749"></a><span class="lineno"> 749</span> MFEM_VERIFY(pB.size() == patch && pG.size() == patch, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00750" name="l00750"></a><span class="lineno"> 750</span> MFEM_VERIFY(pQ1D.size() == patch && pD1D.size() == patch, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00751" name="l00751"></a><span class="lineno"> 751</span> MFEM_VERIFY(pminQ.size() == patch && pmaxQ.size() == patch, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00752" name="l00752"></a><span class="lineno"> 752</span> MFEM_VERIFY(pminD.size() == patch && pmaxD.size() == patch, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00753" name="l00753"></a><span class="lineno"> 753</span> MFEM_VERIFY(pminDD.size() == patch && pmaxDD.size() == patch, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00754" name="l00754"></a><span class="lineno"> 754</span> MFEM_VERIFY(pir1d.size() == patch, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00755" name="l00755"></a><span class="lineno"> 755</span> </div>
<div class="line"><a id="l00756" name="l00756"></a><span class="lineno"> 756</span> <span class="comment">// Set basis functions and gradients for this patch</span></div>
<div class="line"><a id="l00757" name="l00757"></a><span class="lineno"> 757</span> Array<const KnotVector*> pkv;</div>
<div class="line"><a id="l00758" name="l00758"></a><span class="lineno"> 758</span> mesh->NURBSext->GetPatchKnotVectors(patch, pkv);</div>
<div class="line"><a id="l00759" name="l00759"></a><span class="lineno"> 759</span> MFEM_VERIFY(pkv.Size() == dim, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00760" name="l00760"></a><span class="lineno"> 760</span> </div>
<div class="line"><a id="l00761" name="l00761"></a><span class="lineno"> 761</span> Array<int> Q1D(dim);</div>
<div class="line"><a id="l00762" name="l00762"></a><span class="lineno"> 762</span> Array<int> orders(dim);</div>
<div class="line"><a id="l00763" name="l00763"></a><span class="lineno"> 763</span> Array<int> D1D(dim);</div>
<div class="line"><a id="l00764" name="l00764"></a><span class="lineno"> 764</span> std::vector<Array2D<real_t>> B(dim);</div>
<div class="line"><a id="l00765" name="l00765"></a><span class="lineno"> 765</span> std::vector<Array2D<real_t>> G(dim);</div>
<div class="line"><a id="l00766" name="l00766"></a><span class="lineno"> 766</span> Array<const IntegrationRule*> ir1d(dim);</div>
<div class="line"><a id="l00767" name="l00767"></a><span class="lineno"> 767</span> </div>
<div class="line"><a id="l00768" name="l00768"></a><span class="lineno"> 768</span> IntArrayVar2D minD(dim);</div>
<div class="line"><a id="l00769" name="l00769"></a><span class="lineno"> 769</span> IntArrayVar2D maxD(dim);</div>
<div class="line"><a id="l00770" name="l00770"></a><span class="lineno"> 770</span> IntArrayVar2D minQ(dim);</div>
<div class="line"><a id="l00771" name="l00771"></a><span class="lineno"> 771</span> IntArrayVar2D maxQ(dim);</div>
<div class="line"><a id="l00772" name="l00772"></a><span class="lineno"> 772</span> </div>
<div class="line"><a id="l00773" name="l00773"></a><span class="lineno"> 773</span> IntArrayVar2D minDD(dim);</div>
<div class="line"><a id="l00774" name="l00774"></a><span class="lineno"> 774</span> IntArrayVar2D maxDD(dim);</div>
<div class="line"><a id="l00775" name="l00775"></a><span class="lineno"> 775</span> </div>
<div class="line"><a id="l00776" name="l00776"></a><span class="lineno"> 776</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> d=0; d<<a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; ++d)</div>
<div class="line"><a id="l00777" name="l00777"></a><span class="lineno"> 777</span> {</div>
<div class="line"><a id="l00778" name="l00778"></a><span class="lineno"> 778</span> ir1d[d] = <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a0693b1662e8641bc534eb4296e5b9f8e">GetPatchRule1D</a>(patch, d);</div>
<div class="line"><a id="l00779" name="l00779"></a><span class="lineno"> 779</span> </div>
<div class="line"><a id="l00780" name="l00780"></a><span class="lineno"> 780</span> Q1D[d] = ir1d[d]-><a class="code hl_function" href="classmfem_1_1IntegrationRule.html#a65a041b5cd5417664446932fa946409d">GetNPoints</a>();</div>
<div class="line"><a id="l00781" name="l00781"></a><span class="lineno"> 781</span> </div>
<div class="line"><a id="l00782" name="l00782"></a><span class="lineno"> 782</span> orders[d] = pkv[d]->GetOrder();</div>
<div class="line"><a id="l00783" name="l00783"></a><span class="lineno"> 783</span> D1D[d] = pkv[d]->GetNCP();</div>
<div class="line"><a id="l00784" name="l00784"></a><span class="lineno"> 784</span> </div>
<div class="line"><a id="l00785" name="l00785"></a><span class="lineno"> 785</span> Vector shapeKV(orders[d]+1);</div>
<div class="line"><a id="l00786" name="l00786"></a><span class="lineno"> 786</span> Vector dshapeKV(orders[d]+1);</div>
<div class="line"><a id="l00787" name="l00787"></a><span class="lineno"> 787</span> </div>
<div class="line"><a id="l00788" name="l00788"></a><span class="lineno"> 788</span> B[d].SetSize(Q1D[d], D1D[d]);</div>
<div class="line"><a id="l00789" name="l00789"></a><span class="lineno"> 789</span> G[d].SetSize(Q1D[d], D1D[d]);</div>
<div class="line"><a id="l00790" name="l00790"></a><span class="lineno"> 790</span> </div>
<div class="line"><a id="l00791" name="l00791"></a><span class="lineno"> 791</span> minD[d].assign(D1D[d], Q1D[d]);</div>
<div class="line"><a id="l00792" name="l00792"></a><span class="lineno"> 792</span> maxD[d].assign(D1D[d], 0);</div>
<div class="line"><a id="l00793" name="l00793"></a><span class="lineno"> 793</span> </div>
<div class="line"><a id="l00794" name="l00794"></a><span class="lineno"> 794</span> minQ[d].assign(Q1D[d], D1D[d]);</div>
<div class="line"><a id="l00795" name="l00795"></a><span class="lineno"> 795</span> maxQ[d].assign(Q1D[d], 0);</div>
<div class="line"><a id="l00796" name="l00796"></a><span class="lineno"> 796</span> </div>
<div class="line"><a id="l00797" name="l00797"></a><span class="lineno"> 797</span> B[d] = 0.0;</div>
<div class="line"><a id="l00798" name="l00798"></a><span class="lineno"> 798</span> G[d] = 0.0;</div>
<div class="line"><a id="l00799" name="l00799"></a><span class="lineno"> 799</span> </div>
<div class="line"><a id="l00800" name="l00800"></a><span class="lineno"> 800</span> <span class="keyword">const</span> Array<int>& knotSpan1D = <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a81076f2568f54ac0957de83b27929e87">GetPatchRule1D_KnotSpan</a>(patch, d);</div>
<div class="line"><a id="l00801" name="l00801"></a><span class="lineno"> 801</span> MFEM_VERIFY(knotSpan1D.Size() == Q1D[d], <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00802" name="l00802"></a><span class="lineno"> 802</span> </div>
<div class="line"><a id="l00803" name="l00803"></a><span class="lineno"> 803</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < Q1D[d]; i++)</div>
<div class="line"><a id="l00804" name="l00804"></a><span class="lineno"> 804</span> {</div>
<div class="line"><a id="l00805" name="l00805"></a><span class="lineno"> 805</span> <span class="keyword">const</span> IntegrationPoint &ip = ir1d[d]->IntPoint(i);</div>
<div class="line"><a id="l00806" name="l00806"></a><span class="lineno"> 806</span> <span class="keyword">const</span> <span class="keywordtype">int</span> ijk = knotSpan1D[i];</div>
<div class="line"><a id="l00807" name="l00807"></a><span class="lineno"> 807</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> kv0 = (*pkv[d])[orders[d] + ijk];</div>
<div class="line"><a id="l00808" name="l00808"></a><span class="lineno"> 808</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> kv1 = (*pkv[d])[0];</div>
<div class="line"><a id="l00809" name="l00809"></a><span class="lineno"> 809</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = orders[d] + ijk + 1; j < pkv[d]->Size(); ++j)</div>
<div class="line"><a id="l00810" name="l00810"></a><span class="lineno"> 810</span> {</div>
<div class="line"><a id="l00811" name="l00811"></a><span class="lineno"> 811</span> <span class="keywordflow">if</span> ((*pkv[d])[j] > kv0)</div>
<div class="line"><a id="l00812" name="l00812"></a><span class="lineno"> 812</span> {</div>
<div class="line"><a id="l00813" name="l00813"></a><span class="lineno"> 813</span> kv1 = (*pkv[d])[j];</div>
<div class="line"><a id="l00814" name="l00814"></a><span class="lineno"> 814</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00815" name="l00815"></a><span class="lineno"> 815</span> }</div>
<div class="line"><a id="l00816" name="l00816"></a><span class="lineno"> 816</span> }</div>
<div class="line"><a id="l00817" name="l00817"></a><span class="lineno"> 817</span> </div>
<div class="line"><a id="l00818" name="l00818"></a><span class="lineno"> 818</span> MFEM_VERIFY(kv1 > kv0, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00819" name="l00819"></a><span class="lineno"> 819</span> </div>
<div class="line"><a id="l00820" name="l00820"></a><span class="lineno"> 820</span> pkv[d]->CalcShape(shapeKV, ijk, (ip.x - kv0) / (kv1 - kv0));</div>
<div class="line"><a id="l00821" name="l00821"></a><span class="lineno"> 821</span> pkv[d]->CalcDShape(dshapeKV, ijk, (ip.x - kv0) / (kv1 - kv0));</div>
<div class="line"><a id="l00822" name="l00822"></a><span class="lineno"> 822</span> </div>
<div class="line"><a id="l00823" name="l00823"></a><span class="lineno"> 823</span> <span class="comment">// Put shapeKV into array B storing shapes for all points.</span></div>
<div class="line"><a id="l00824" name="l00824"></a><span class="lineno"> 824</span> <span class="comment">// TODO: This should be based on NURBS3DFiniteElement::CalcShape and CalcDShape.</span></div>
<div class="line"><a id="l00825" name="l00825"></a><span class="lineno"> 825</span> <span class="comment">// For now, it works under the assumption that all NURBS weights are 1.</span></div>
<div class="line"><a id="l00826" name="l00826"></a><span class="lineno"> 826</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j<orders[d]+1; ++j)</div>
<div class="line"><a id="l00827" name="l00827"></a><span class="lineno"> 827</span> {</div>
<div class="line"><a id="l00828" name="l00828"></a><span class="lineno"> 828</span> B[d](i,ijk + j) = shapeKV[j];</div>
<div class="line"><a id="l00829" name="l00829"></a><span class="lineno"> 829</span> G[d](i,ijk + j) = dshapeKV[j];</div>
<div class="line"><a id="l00830" name="l00830"></a><span class="lineno"> 830</span> </div>
<div class="line"><a id="l00831" name="l00831"></a><span class="lineno"> 831</span> minD[d][ijk + j] = std::min(minD[d][ijk + j], i);</div>
<div class="line"><a id="l00832" name="l00832"></a><span class="lineno"> 832</span> maxD[d][ijk + j] = std::max(maxD[d][ijk + j], i);</div>
<div class="line"><a id="l00833" name="l00833"></a><span class="lineno"> 833</span> }</div>
<div class="line"><a id="l00834" name="l00834"></a><span class="lineno"> 834</span> </div>
<div class="line"><a id="l00835" name="l00835"></a><span class="lineno"> 835</span> minQ[d][i] = std::min(minQ[d][i], ijk);</div>
<div class="line"><a id="l00836" name="l00836"></a><span class="lineno"> 836</span> maxQ[d][i] = std::max(maxQ[d][i], ijk + orders[d]);</div>
<div class="line"><a id="l00837" name="l00837"></a><span class="lineno"> 837</span> }</div>
<div class="line"><a id="l00838" name="l00838"></a><span class="lineno"> 838</span> </div>
<div class="line"><a id="l00839" name="l00839"></a><span class="lineno"> 839</span> <span class="comment">// Determine which DOFs each DOF interacts with, in 1D.</span></div>
<div class="line"><a id="l00840" name="l00840"></a><span class="lineno"> 840</span> minDD[d].resize(D1D[d]);</div>
<div class="line"><a id="l00841" name="l00841"></a><span class="lineno"> 841</span> maxDD[d].resize(D1D[d]);</div>
<div class="line"><a id="l00842" name="l00842"></a><span class="lineno"> 842</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<D1D[d]; ++i)</div>
<div class="line"><a id="l00843" name="l00843"></a><span class="lineno"> 843</span> {</div>
<div class="line"><a id="l00844" name="l00844"></a><span class="lineno"> 844</span> <span class="keyword">const</span> <span class="keywordtype">int</span> qmin = minD[d][i];</div>
<div class="line"><a id="l00845" name="l00845"></a><span class="lineno"> 845</span> minDD[d][i] = minQ[d][qmin];</div>
<div class="line"><a id="l00846" name="l00846"></a><span class="lineno"> 846</span> </div>
<div class="line"><a id="l00847" name="l00847"></a><span class="lineno"> 847</span> <span class="keyword">const</span> <span class="keywordtype">int</span> qmax = maxD[d][i];</div>
<div class="line"><a id="l00848" name="l00848"></a><span class="lineno"> 848</span> maxDD[d][i] = maxQ[d][qmax];</div>
<div class="line"><a id="l00849" name="l00849"></a><span class="lineno"> 849</span> }</div>
<div class="line"><a id="l00850" name="l00850"></a><span class="lineno"> 850</span> }</div>
<div class="line"><a id="l00851" name="l00851"></a><span class="lineno"> 851</span> </div>
<div class="line"><a id="l00852" name="l00852"></a><span class="lineno"> 852</span> <span class="comment">// Push patch data to global data structures</span></div>
<div class="line"><a id="l00853" name="l00853"></a><span class="lineno"> 853</span> pB.push_back(B);</div>
<div class="line"><a id="l00854" name="l00854"></a><span class="lineno"> 854</span> pG.push_back(G);</div>
<div class="line"><a id="l00855" name="l00855"></a><span class="lineno"> 855</span> </div>
<div class="line"><a id="l00856" name="l00856"></a><span class="lineno"> 856</span> pQ1D.push_back(Q1D);</div>
<div class="line"><a id="l00857" name="l00857"></a><span class="lineno"> 857</span> pD1D.push_back(D1D);</div>
<div class="line"><a id="l00858" name="l00858"></a><span class="lineno"> 858</span> </div>
<div class="line"><a id="l00859" name="l00859"></a><span class="lineno"> 859</span> pminQ.push_back(minQ);</div>
<div class="line"><a id="l00860" name="l00860"></a><span class="lineno"> 860</span> pmaxQ.push_back(maxQ);</div>
<div class="line"><a id="l00861" name="l00861"></a><span class="lineno"> 861</span> </div>
<div class="line"><a id="l00862" name="l00862"></a><span class="lineno"> 862</span> pminD.push_back(minD);</div>
<div class="line"><a id="l00863" name="l00863"></a><span class="lineno"> 863</span> pmaxD.push_back(maxD);</div>
<div class="line"><a id="l00864" name="l00864"></a><span class="lineno"> 864</span> </div>
<div class="line"><a id="l00865" name="l00865"></a><span class="lineno"> 865</span> pminDD.push_back(minDD);</div>
<div class="line"><a id="l00866" name="l00866"></a><span class="lineno"> 866</span> pmaxDD.push_back(maxDD);</div>
<div class="line"><a id="l00867" name="l00867"></a><span class="lineno"> 867</span> </div>
<div class="line"><a id="l00868" name="l00868"></a><span class="lineno"> 868</span> pir1d.push_back(ir1d);</div>
<div class="line"><a id="l00869" name="l00869"></a><span class="lineno"> 869</span>}</div>
<div class="line"><a id="l00870" name="l00870"></a><span class="lineno"> 870</span> </div>
<div class="line"><a id="l00871" name="l00871"></a><span class="lineno"> 871</span><span class="comment">// This version uses reduced 1D quadrature rules.</span></div>
<div class="line"><a id="l00872" name="l00872"></a><span class="lineno"> 872</span><span class="keywordtype">void</span> DiffusionIntegrator::AssemblePatchMatrix_reducedQuadrature(</div>
<div class="line"><a id="l00873" name="l00873"></a><span class="lineno"> 873</span> <span class="keyword">const</span> <span class="keywordtype">int</span> patch, <span class="keyword">const</span> FiniteElementSpace &fes, SparseMatrix*& smat)</div>
<div class="line"><a id="l00874" name="l00874"></a><span class="lineno"> 874</span>{</div>
<div class="line"><a id="l00875" name="l00875"></a><span class="lineno"> 875</span> MFEM_VERIFY(<a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>, <span class="stringliteral">"patchRules must be defined"</span>);</div>
<div class="line"><a id="l00876" name="l00876"></a><span class="lineno"> 876</span> <a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a> = <a class="code hl_variable" href="classmfem_1_1Integrator.html#a3beed4f28ed61ace85bb134c29054825">patchRules</a>-><a class="code hl_function" href="classmfem_1_1NURBSMeshRules.html#a0d97e0fa77cff631c327af482c4e69c5">GetDim</a>();</div>
<div class="line"><a id="l00877" name="l00877"></a><span class="lineno"> 877</span> <span class="keyword">const</span> <span class="keywordtype">int</span> spaceDim = <a class="code hl_variable" href="ex24_8cpp.html#a70b5e28b5bc3d1b63a7435c5fe50b837">dim</a>; <span class="comment">// TODO: generalize?</span></div>
<div class="line"><a id="l00878" name="l00878"></a><span class="lineno"> 878</span> </div>
<div class="line"><a id="l00879" name="l00879"></a><span class="lineno"> 879</span> Mesh *mesh = fes.GetMesh();</div>