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<div class="title">dsymatrix_small-specialized.hpp</div>  </div>
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<a href="dsymatrix__small-specialized_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 <span class="comment">//=============================================================================</span><span class="comment"></span>
<a name="l00002"></a>00002 <span class="comment">/*! calculate determinant */</span>
<a name="l00003"></a><a class="code" href="dsymatrix__small_8hpp.html#a1bcb37497c63aa8087d37a586ccc871e">00003</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="dgematrix__small-specialized_8hpp.html#a74dda59225405b0940dc395b6f682596">det</a>(<span class="keyword">const</span> dsymat2&amp; A)
<a name="l00004"></a>00004 {VERBOSE_REPORT;
<a name="l00005"></a>00005   <span class="keywordflow">return</span> A(0,0)*A(1,1) -A(1,0)*A(1,0);
<a name="l00006"></a>00006 }
<a name="l00007"></a>00007 
<a name="l00008"></a>00008 <span class="comment">//=============================================================================</span><span class="comment"></span>
<a name="l00009"></a>00009 <span class="comment">/*! calculate inverse */</span>
<a name="l00010"></a><a class="code" href="dsymatrix__small_8hpp.html#a8bbb765bd40d6d370c7f185f02516e1c">00010</a> <span class="keyword">inline</span> dsymat2 <a class="code" href="dcovector__small-specialized_8hpp.html#a816188231dc59c47c02a0187291207f1">inv</a>(<span class="keyword">const</span> dsymat2&amp; A)
<a name="l00011"></a>00011 {VERBOSE_REPORT;
<a name="l00012"></a>00012   <span class="keyword">const</span> <span class="keywordtype">double</span> Adet( <a class="code" href="dgematrix__small-specialized_8hpp.html#a74dda59225405b0940dc395b6f682596">det</a>(A) );
<a name="l00013"></a>00013   dsymat2 Ainv;
<a name="l00014"></a>00014   Ainv(0,0)= A(1,1)/Adet;
<a name="l00015"></a>00015   Ainv(1,0)=-A(1,0)/Adet;  Ainv(1,1)= A(0,0)/Adet;
<a name="l00016"></a>00016   <span class="keywordflow">return</span> Ainv;
<a name="l00017"></a>00017 }
<a name="l00018"></a>00018 
<a name="l00019"></a>00019 <span class="comment">//=============================================================================</span><span class="comment"></span>
<a name="l00020"></a>00020 <span class="comment">/*!  return 2x2 rotated tensor  */</span>
<a name="l00021"></a><a class="code" href="dsymatrix__small_8hpp.html#a0a71f056942df24040a173cfde321254">00021</a> <span class="keyword">inline</span> dsymat2 <a class="code" href="dcovector__small-specialized_8hpp.html#a7c6e40d311633e4c71f998cf49ff39f0">rotate</a>(<span class="keyword">const</span> dsymat2&amp; m, <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; theta)
<a name="l00022"></a>00022 {VERBOSE_REPORT;
<a name="l00023"></a>00023   <span class="keywordtype">double</span> c(cos(theta)), s(sin(theta));
<a name="l00024"></a>00024   <span class="keywordtype">double</span> cc(c*c), cs(c*s), ss(s*s);
<a name="l00025"></a>00025   dsymat2 mat;
<a name="l00026"></a>00026   mat(0,0) =m(0,0)*cc -2.*m(1,0)*cs       +m(1,1)*ss;
<a name="l00027"></a>00027   mat(1,0) =m(1,0)*cc +(m(0,0)-m(1,1))*cs -m(1,0)*ss;
<a name="l00028"></a>00028   mat(1,1) =m(1,1)*cc +2.*m(1,0)*cs       +m(0,0)*ss;
<a name="l00029"></a>00029   <span class="keywordflow">return</span> mat;
<a name="l00030"></a>00030 }
<a name="l00031"></a>00031 <span class="comment"></span>
<a name="l00032"></a>00032 <span class="comment">///////////////////////////////////////////////////////////////////////////////</span>
<a name="l00033"></a>00033 <span class="comment">///////////////////////////////////////////////////////////////////////////////</span>
<a name="l00034"></a>00034 <span class="comment">///////////////////////////////////////////////////////////////////////////////</span>
<a name="l00035"></a>00035 <span class="comment">///////////////////////////////////////////////////////////////////////////////</span>
<a name="l00036"></a>00036 <span class="comment">///////////////////////////////////////////////////////////////////////////////</span>
<a name="l00037"></a>00037 <span class="comment">///////////////////////////////////////////////////////////////////////////////</span>
<a name="l00038"></a>00038 <span class="comment">///////////////////////////////////////////////////////////////////////////////</span>
<a name="l00039"></a>00039 <span class="comment">///////////////////////////////////////////////////////////////////////////////</span>
<a name="l00040"></a>00040 <span class="comment">///////////////////////////////////////////////////////////////////////////////</span>
<a name="l00041"></a>00041 <span class="comment"></span>
<a name="l00042"></a>00042 <span class="comment">//=============================================================================</span><span class="comment"></span>
<a name="l00043"></a>00043 <span class="comment">/*! calculate determinant */</span>
<a name="l00044"></a><a class="code" href="dsymatrix__small_8hpp.html#a6e6cd52c8d1f5e23070ccfa1a5d8d3bf">00044</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="dgematrix__small-specialized_8hpp.html#a74dda59225405b0940dc395b6f682596">det</a>(<span class="keyword">const</span> dsymat3&amp; A)
<a name="l00045"></a>00045 {VERBOSE_REPORT;
<a name="l00046"></a>00046   <span class="keywordflow">return</span>
<a name="l00047"></a>00047     +A(0,0)*A(1,1)*A(2,2) -A(0,0)*A(2,1)*A(2,1)
<a name="l00048"></a>00048     +A(1,0)*A(2,1)*A(2,0) -A(1,0)*A(1,0)*A(2,2)
<a name="l00049"></a>00049     +A(2,0)*A(1,0)*A(2,1) -A(2,0)*A(1,1)*A(2,0);
<a name="l00050"></a>00050 }
<a name="l00051"></a>00051 
<a name="l00052"></a>00052 <span class="comment">//=============================================================================</span><span class="comment"></span>
<a name="l00053"></a>00053 <span class="comment">/*! calculate inverse */</span>
<a name="l00054"></a><a class="code" href="dsymatrix__small_8hpp.html#a55ba7253f3bc2023440e5e97bb74ee70">00054</a> <span class="keyword">inline</span> dsymat3 <a class="code" href="dcovector__small-specialized_8hpp.html#a816188231dc59c47c02a0187291207f1">inv</a>(<span class="keyword">const</span> dsymat3&amp; A)
<a name="l00055"></a>00055 {VERBOSE_REPORT;
<a name="l00056"></a>00056   <span class="keyword">const</span> <span class="keywordtype">double</span> Adet( <a class="code" href="dgematrix__small-specialized_8hpp.html#a74dda59225405b0940dc395b6f682596">det</a>(A) );
<a name="l00057"></a>00057   dsymat3 Ainv;
<a name="l00058"></a>00058   Ainv(0,0) =(A(1,1)*A(2,2)-A(2,1)*A(2,1))/Adet;
<a name="l00059"></a>00059   Ainv(1,0) =(A(2,1)*A(2,0)-A(1,0)*A(2,2))/Adet;
<a name="l00060"></a>00060   Ainv(1,1) =(A(0,0)*A(2,2)-A(2,0)*A(2,0))/Adet;
<a name="l00061"></a>00061   Ainv(2,0) =(A(1,0)*A(2,1)-A(1,1)*A(2,0))/Adet;
<a name="l00062"></a>00062   Ainv(2,1) =(A(1,0)*A(2,0)-A(0,0)*A(2,1))/Adet;
<a name="l00063"></a>00063   Ainv(2,2) =(A(0,0)*A(1,1)-A(1,0)*A(1,0))/Adet;
<a name="l00064"></a>00064   <span class="keywordflow">return</span> Ainv;
<a name="l00065"></a>00065 }
<a name="l00066"></a>00066 
<a name="l00067"></a>00067 <span class="comment">//=============================================================================</span><span class="comment"></span>
<a name="l00068"></a>00068 <span class="comment">/*!  */</span>
<a name="l00069"></a><a class="code" href="dsymatrix__small_8hpp.html#a439da5f2564fc8b616bef28f93c5bf3d">00069</a> <span class="keyword">inline</span> dsymat3 <a class="code" href="dcovector__small-specialized_8hpp.html#a7c6e40d311633e4c71f998cf49ff39f0">rotate</a>(<span class="keyword">const</span> dsymat3&amp; m, <span class="keyword">const</span> dquater&amp; q)
<a name="l00070"></a>00070 {VERBOSE_REPORT;
<a name="l00071"></a>00071   dgemat3 R =<a class="code" href="dcovector__small-specialized_8hpp.html#a0b8662d50893bcd25e2d80f468b721f5">q2m</a>(q);
<a name="l00072"></a>00072   dgemat3 Rm =R*m;
<a name="l00073"></a>00073   
<a name="l00074"></a>00074   dsymat3 RmRT;<span class="comment">//not dgemat3</span>
<a name="l00075"></a>00075   RmRT.zero();
<a name="l00076"></a>00076   <span class="keywordflow">for</span>(<span class="keywordtype">long</span> <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>=0; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>&lt;3; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){
<a name="l00077"></a>00077     <span class="keywordflow">for</span>(<span class="keywordtype">long</span> j=0; j&lt;=<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>; j++){
<a name="l00078"></a>00078       <span class="keywordflow">for</span>(<span class="keywordtype">long</span> k=0; k&lt;3; k++){
<a name="l00079"></a>00079         RmRT(<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>,j) +=Rm(<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>,k)*R(j,k);
<a name="l00080"></a>00080       }
<a name="l00081"></a>00081     }
<a name="l00082"></a>00082   }
<a name="l00083"></a>00083   <span class="keywordflow">return</span> RmRT;
<a name="l00084"></a>00084 }
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