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<div class="title">Example Codes of dsymatrix LAPACK Functions </div>  </div>
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<div class="textblock"><div class="fragment"><pre class="fragment"><span class="comment">//=============================================================================</span><span class="comment"></span>
<span class="comment">/*! dsysv_check */</span>
<span class="keywordtype">void</span> dsysv_check_vector()
{
  cout &lt;&lt; <span class="stringliteral">&quot;############ check dsysv vector ############&quot;</span> &lt;&lt; endl;
  
  srand(time(NULL));
  <span class="keywordtype">int</span> N(3);
  <span class="comment"></span>
<span class="comment">  //// make dsymatrix A  ////</span>
<span class="comment"></span>  CPPL::dsymatrix A(N);
  <span class="keywordflow">for</span>(<span class="keywordtype">int</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;A.<a class="code" href="class__dgematrix.html#ad46b02985eb9537b1bd65937d5b052de" title="matrix column size">n</a>; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){ <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j&lt;A.n; j++){
    A(<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>,j) =double( rand() /(RAND_MAX/10) );
  }}
  <span class="comment"></span>
<span class="comment">  //// make dcovector y ////</span>
<span class="comment"></span>  CPPL::dcovector y(N);
  <span class="keywordflow">for</span>(<span class="keywordtype">int</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;y.l; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){
    y(<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>) =double( rand() /(RAND_MAX/10) );
  }
  <span class="comment"></span>
<span class="comment">  //// make A_original and y_original ////</span>
<span class="comment"></span>  CPPL::dsymatrix A_original(A);
  CPPL::dcovector y_original(y);
  cout &lt;&lt; <span class="stringliteral">&quot;A_original=\n&quot;</span> &lt;&lt; A_original &lt;&lt; endl;
  cout &lt;&lt; <span class="stringliteral">&quot;y_original=\n&quot;</span> &lt;&lt; y_original &lt;&lt; endl;
  <span class="comment"></span>
<span class="comment">  //// solve Ax=y ////</span>
<span class="comment"></span>  A.dsysv(y);
    <span class="comment"></span>
<span class="comment">  //// print A, y and A_original*y ////</span>
<span class="comment"></span>  cout &lt;&lt; <span class="stringliteral">&quot;A=\n&quot;</span> &lt;&lt; A &lt;&lt; endl;
  cout &lt;&lt; <span class="stringliteral">&quot;y=\n&quot;</span> &lt;&lt; y &lt;&lt; endl;
  cout &lt;&lt; <span class="stringliteral">&quot;A_original*y=\n&quot;</span> &lt;&lt; A_original*y &lt;&lt; endl;
}

<span class="comment">//=============================================================================</span>
<span class="keywordtype">void</span> dsysv_check_matrix()
{
  cout &lt;&lt; <span class="stringliteral">&quot;############ check dsysv matrix ############&quot;</span> &lt;&lt; endl;
  
  srand(time(NULL));
  <span class="keywordtype">int</span> N(3);
  
<span class="comment"></span>
<span class="comment">  //// make dsymatrix A  ////</span>
<span class="comment"></span>  CPPL::dsymatrix A(N);
  <span class="keywordflow">for</span>(<span class="keywordtype">int</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;A.<a class="code" href="class__dgematrix.html#ad46b02985eb9537b1bd65937d5b052de" title="matrix column size">n</a>; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){ <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j&lt;A.n; j++){
    A(<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>,j) =double( rand() /(RAND_MAX/10) );
  }}
   <span class="comment"></span>
<span class="comment">  //// make dsymatrix Y  ////</span>
<span class="comment"></span>  CPPL::dgematrix Y(N,N);
  <span class="keywordflow">for</span>(<span class="keywordtype">int</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;Y.<a class="code" href="class__dgematrix.html#a4c07ace0e1899332aa2d620af184dadf" title="matrix row size">m</a>; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){ <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j&lt;Y.n; j++){
    Y(<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>,j) =double( rand() /(RAND_MAX/10) );
  }}
   <span class="comment"></span>
<span class="comment">  //// make A_original and Y_original ////</span>
<span class="comment"></span>  CPPL::dsymatrix A_original(A);
  CPPL::dgematrix Y_original(Y);
  cout &lt;&lt; <span class="stringliteral">&quot;A_original=\n&quot;</span> &lt;&lt; A_original &lt;&lt; endl;
  cout &lt;&lt; <span class="stringliteral">&quot;Y_original=\n&quot;</span> &lt;&lt; Y_original &lt;&lt; endl;
  <span class="comment"></span>
<span class="comment">  //// solve AY=B ////</span>
<span class="comment"></span>  A.dsysv(Y);
    <span class="comment"></span>
<span class="comment">  //// print A, Y and A_original*Y ////</span>
<span class="comment"></span>  cout &lt;&lt; <span class="stringliteral">&quot;A=\n&quot;</span> &lt;&lt; A &lt;&lt; endl;
  cout &lt;&lt; <span class="stringliteral">&quot;Y=\n&quot;</span> &lt;&lt; Y &lt;&lt; endl;
  cout &lt;&lt; <span class="stringliteral">&quot;A_original*Y=\n&quot;</span> &lt;&lt; A_original*Y &lt;&lt; endl;
}
</pre></div> <div class="fragment"><pre class="fragment"><span class="comment">//=============================================================================</span>
<span class="keywordtype">void</span> dsyev_check_value()
{
  cout &lt;&lt; <span class="stringliteral">&quot;############ check dsyev value ############&quot;</span> &lt;&lt; endl;
  
  srand(time(NULL));
  <span class="keywordtype">int</span> N(3);
  <span class="comment"></span>
<span class="comment">  //// make dsymatrix A  ////</span>
<span class="comment"></span>  CPPL::dsymatrix A(N);
  <span class="keywordflow">for</span>(<span class="keywordtype">int</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;N; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){ <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j&lt;N; j++){
    A(<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>,j) =double( rand() /(RAND_MAX/10) );
  }}
  <span class="comment"></span>
<span class="comment">  //// make wr wi vr ////</span>
<span class="comment"></span>  vector&lt;double&gt; w;
  <span class="comment"></span>
<span class="comment">  //// make A_original ////</span>
<span class="comment"></span>  CPPL::dsymatrix A_original(A);
  <span class="comment"></span>
<span class="comment">  //// dsyev ////</span>
<span class="comment"></span>  A.dsyev(w);
  <span class="comment">//A.dsyev(w,1);</span>
  <span class="comment"></span>
<span class="comment">  //// print ////</span>
<span class="comment"></span>  cout &lt;&lt; <span class="stringliteral">&quot;A=\n&quot;</span> &lt;&lt; A &lt;&lt; endl;
  cout &lt;&lt; <span class="stringliteral">&quot;A_original=\n&quot;</span> &lt;&lt; A_original &lt;&lt; endl;
  <span class="keywordflow">for</span>(<span class="keywordtype">int</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;N; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){
    cout &lt;&lt; <span class="stringliteral">&quot;#### &quot;</span> &lt;&lt; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a> &lt;&lt; <span class="stringliteral">&quot;th eigen ####&quot;</span> &lt;&lt; endl;
    cout &lt;&lt; <span class="stringliteral">&quot;w=&quot;</span> &lt;&lt; w[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>] &lt;&lt;endl;
  }
}

<span class="comment">//=============================================================================</span>
<span class="keywordtype">void</span> dsyev_check_right()
{
  cout &lt;&lt; <span class="stringliteral">&quot;############ check dsyev right ############&quot;</span> &lt;&lt; endl;
  
  srand(time(NULL));
  <span class="keywordtype">int</span> N(3);
  <span class="comment"></span>
<span class="comment">  //// make dsymatrix A  ////</span>
<span class="comment"></span>  CPPL::dsymatrix A(N);
  <span class="keywordflow">for</span>(<span class="keywordtype">int</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;A.<a class="code" href="class__dgematrix.html#ad46b02985eb9537b1bd65937d5b052de" title="matrix column size">n</a>; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){ <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j&lt;A.n; j++){
    A(<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>,j) =double( rand() /(RAND_MAX/10) );
  }}
  <span class="comment"></span>
<span class="comment">  //// make wr wi vr ////</span>
<span class="comment"></span>  vector&lt;double&gt; w;
  vector&lt;CPPL::dcovector&gt; v;
  <span class="comment"></span>
<span class="comment">  //// make A_original ////</span>
<span class="comment"></span>  CPPL::dsymatrix A_original(A);
  <span class="comment"></span>
<span class="comment">  //// dsyev ////</span>
<span class="comment"></span>  A.dsyev(w,v);
  <span class="comment"></span>
<span class="comment">  //// print ////</span>
<span class="comment"></span>  cout &lt;&lt; <span class="stringliteral">&quot;A_original=\n&quot;</span> &lt;&lt; A_original &lt;&lt; endl;
  <span class="keywordflow">for</span>(<span class="keywordtype">int</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;A.<a class="code" href="class__dgematrix.html#ad46b02985eb9537b1bd65937d5b052de" title="matrix column size">n</a>; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){
    cout &lt;&lt; <span class="stringliteral">&quot;#### &quot;</span> &lt;&lt; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a> &lt;&lt; <span class="stringliteral">&quot;th eigen ####&quot;</span> &lt;&lt; endl;
    cout &lt;&lt; <span class="stringliteral">&quot;w=&quot;</span> &lt;&lt; w[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>] &lt;&lt;endl;
    cout &lt;&lt; <span class="stringliteral">&quot;v=\n&quot;</span> &lt;&lt; v[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>] &lt;&lt;endl;
    cout &lt;&lt; <span class="stringliteral">&quot;[A]*{x} -lambda*{x} = (Should be zeros)\n&quot;</span>
         &lt;&lt; A_original*v[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>] -w[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>]*v[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>] &lt;&lt; endl;
  }
}

<span class="comment">//=============================================================================</span>
<span class="keywordtype">void</span> dsyev_check_left()
{
  cout &lt;&lt; <span class="stringliteral">&quot;############ check dsyev left ############&quot;</span> &lt;&lt; endl;
  
  srand(time(NULL));
  <span class="keywordtype">int</span> N(3);
  <span class="comment"></span>
<span class="comment">  //// make dsymatrix A  ////</span>
<span class="comment"></span>  CPPL::dsymatrix A(N);
  <span class="keywordflow">for</span>(<span class="keywordtype">int</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;A.<a class="code" href="class__dgematrix.html#ad46b02985eb9537b1bd65937d5b052de" title="matrix column size">n</a>; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){ <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0; j&lt;A.n; j++){
    A(<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>,j) =double( rand() /(RAND_MAX/10) );
  }}
  <span class="comment"></span>
<span class="comment">  //// make wr wi vl ////</span>
<span class="comment"></span>  vector&lt;double&gt; w;
  vector&lt;CPPL::drovector&gt; v;
  <span class="comment"></span>
<span class="comment">  //// make A_original ////</span>
<span class="comment"></span>  CPPL::dsymatrix A_original(A);
  <span class="comment"></span>
<span class="comment">  //// dsyev ////</span>
<span class="comment"></span>  A.dsyev(w, v);
  <span class="comment"></span>
<span class="comment">  //// print ////</span>
<span class="comment"></span>  cout &lt;&lt; <span class="stringliteral">&quot;A_original=\n&quot;</span> &lt;&lt; A_original &lt;&lt; endl;
  <span class="keywordflow">for</span>(<span class="keywordtype">int</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;A.<a class="code" href="class__dgematrix.html#ad46b02985eb9537b1bd65937d5b052de" title="matrix column size">n</a>; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>++){
    cout &lt;&lt; <span class="stringliteral">&quot;#### &quot;</span> &lt;&lt; <a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a> &lt;&lt; <span class="stringliteral">&quot;th eigen ####&quot;</span> &lt;&lt; endl;
    cout &lt;&lt; <span class="stringliteral">&quot;w = &quot;</span> &lt;&lt; w[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>] &lt;&lt; endl;
    cout &lt;&lt; <span class="stringliteral">&quot;v = &quot;</span> &lt;&lt; v[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>] &lt;&lt; endl;
    cout &lt;&lt; <span class="stringliteral">&quot;{x}*[A] -{x}*lambda = (Should be zeros)\n&quot;</span>
         &lt;&lt; v[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>]*A_original -v[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>]*w[<a class="code" href="__dgbmatrix-calc_8hpp.html#af7c79b3740ba9c1d547f55ac94bc1258">i</a>] &lt;&lt; endl;
  }
}
</pre></div><div class="fragment"><pre class="fragment"><span class="comment">//====================================================================[include]</span>
<span class="preprocessor">#include &lt;iostream&gt;</span>
<span class="preprocessor">#include &lt;cstdlib&gt;</span>
<span class="preprocessor">#include &lt;ctime&gt;</span>
<span class="preprocessor">#include &quot;cpplapack.h&quot;</span>
<span class="keyword">using namespace </span>std;

<span class="preprocessor">#include &quot;dsysv_check.hpp&quot;</span>
<span class="preprocessor">#include &quot;dsyev_check.hpp&quot;</span>
<span class="preprocessor">#include &quot;dsygv_check.hpp&quot;</span>

<span class="comment">//=======================================================================[main]</span><span class="comment"></span>
<span class="comment">/*! main */</span>
<span class="keywordtype">int</span> main(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span>** argv)
{<span class="comment"></span>
<span class="comment">  //////// dsysv ////////</span>
<span class="comment"></span>  dsysv_check_vector();
  dsysv_check_matrix();
  <span class="comment"></span>
<span class="comment">  //////// dsyev ////////</span>
<span class="comment"></span>  dsyev_check_value();
  dsyev_check_right();
  dsyev_check_left();
  <span class="comment"></span>
<span class="comment">  //////// dsygv ////////</span>
<span class="comment"></span>  dsygv_check_value();
  dsygv_check_both();
  
  <span class="keywordflow">return</span> 0;
}
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