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basis_example.html
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<div class="title">basis_example.cpp </div> </div>
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<div class="contents">
<div class="textblock"><h1><a class="anchor" id="basis_exampleAnnotated"></a>
Annotated source file</h1>
<p>Here is the full file <code>examples/basis_example.cpp</code>. Clicking on a function or class name will lead you to its reference documentation.</p>
<div class="fragment"><div class="line"></div>
<div class="line"><span class="preprocessor">#include <iostream></span></div>
<div class="line"><span class="preprocessor">#include <<a class="code" href="gismo_8h.html">gismo.h</a>></span></div>
<div class="line"></div>
<div class="line"><span class="keyword">using namespace </span>gismo;</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="comment">// Returns the string with the size of a matrix.</span></div>
<div class="line"><span class="keyword">template</span> <<span class="keyword">typename</span> T></div>
<div class="line">std::string size(<span class="keyword">const</span> <a class="code" href="classgismo_1_1gsMatrix.html">gsMatrix<T></a>& matrix)</div>
<div class="line">{</div>
<div class="line"> std::string result = <span class="stringliteral">"("</span> + <a class="code" href="group__Utils.html#ga46db4727b7957c4ca6d0cc617c39c495">util::to_string</a>(matrix.rows()) + <span class="stringliteral">" x "</span> +</div>
<div class="line"> <a class="code" href="group__Utils.html#ga46db4727b7957c4ca6d0cc617c39c495">util::to_string</a>(matrix.cols()) + <span class="stringliteral">")"</span>;</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">return</span> result;</div>
<div class="line">}</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"><span class="keywordtype">int</span> <a class="code" href="example__shell2D_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a>(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span>* argv[])</div>
<div class="line">{</div>
<div class="line"></div>
<div class="line"> std::string input(<span class="stringliteral">"bspbasis/tpBSpline2_02.xml"</span>);</div>
<div class="line"> std::string output(<span class="stringliteral">""</span>);</div>
<div class="line"></div>
<div class="line"> <a class="code" href="classgismo_1_1gsCmdLine.html">gsCmdLine</a> cmd(<span class="stringliteral">"Tutorial on gsBasis class."</span>);</div>
<div class="line"> cmd.addPlainString(<span class="stringliteral">"input"</span>, <span class="stringliteral">"G+Smo input basis file."</span>, input);</div>
<div class="line"> cmd.addString(<span class="stringliteral">"o"</span>, <span class="stringliteral">"output"</span>, <span class="stringliteral">"Name of the output file."</span>, output);</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">try</span> { cmd.getValues(argc,argv); } <span class="keywordflow">catch</span> (<span class="keywordtype">int</span> rv) { <span class="keywordflow">return</span> rv; }</div>
<div class="line"></div>
<div class="line"> <span class="comment">// ======================================================================</span></div>
<div class="line"> <span class="comment">// reading the basis</span></div>
<div class="line"> <span class="comment">// ======================================================================</span></div>
<div class="line"></div>
<div class="line"> <a class="code" href="classgismo_1_1gsFileData.html">gsFileData<></a> fileData(input);</div>
<div class="line"></div>
<div class="line"> <a class="code" href="classgismo_1_1gsBasis.html#a985646f2db15eb72c583d01905067ee3">gsBasis<>::uPtr</a> pBasis;</div>
<div class="line"> <span class="keywordflow">if</span> (fileData.has< <a class="code" href="classgismo_1_1gsBasis.html">gsBasis<></a> >())</div>
<div class="line"> {</div>
<div class="line"> pBasis = fileData.getFirst< <a class="code" href="classgismo_1_1gsBasis.html">gsBasis<></a> >();</div>
<div class="line"> }</div>
<div class="line"> <span class="keywordflow">else</span></div>
<div class="line"> {</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Input file doesn't have a basis inside.\n"</span>;</div>
<div class="line"> <span class="keywordflow">return</span> -1;</div>
<div class="line"> }</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">if</span> (!pBasis)</div>
<div class="line"> {</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Didn't find any basis.\n"</span>;</div>
<div class="line"> <span class="keywordflow">return</span> -1;</div>
<div class="line"> }</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// ======================================================================</span></div>
<div class="line"> <span class="comment">// printing some information about the basis</span></div>
<div class="line"> <span class="comment">// ======================================================================</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// printing the basis</span></div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"The file contains: \n"</span> << *pBasis << <span class="stringliteral">"\n"</span>;</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// printing some properties of the basis</span></div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Dimension of the parameter space: "</span> << pBasis->dim() << <span class="stringliteral">"\n"</span></div>
<div class="line"> << <span class="stringliteral">"Number of basis functions: "</span> << pBasis->size() << <span class="stringliteral">"\n"</span></div>
<div class="line"> << <span class="stringliteral">"Number of elements: "</span> << pBasis->numElements() << <span class="stringliteral">"\n"</span></div>
<div class="line"> << <span class="stringliteral">"Max degree of the basis: "</span> << pBasis->maxDegree() << <span class="stringliteral">"\n"</span></div>
<div class="line"> << <span class="stringliteral">"Min degree of the basis: "</span> << pBasis->minDegree() << <span class="stringliteral">"\n"</span></div>
<div class="line"> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// support of the basis</span></div>
<div class="line"> <span class="comment">// (dim x 2 matrix, the parametric domain)</span></div>
<div class="line"> <a class="code" href="classgismo_1_1gsMatrix.html">gsMatrix<></a> support = pBasis->support();</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Support: \n"</span></div>
<div class="line"> << support << <span class="stringliteral">"\n\n"</span>;</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// ======================================================================</span></div>
<div class="line"> <span class="comment">// evaluation</span></div>
<div class="line"> <span class="comment">// ======================================================================</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// ----------------------------------------------------------------------</span></div>
<div class="line"> <span class="comment">// values</span></div>
<div class="line"> <span class="comment">// ----------------------------------------------------------------------</span></div>
<div class="line"></div>
<div class="line"> <a class="code" href="classgismo_1_1gsMatrix.html">gsMatrix<></a> u = 0.3 * support.col(0) + 0.7 * support.col(1);</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"u "</span> << size(u) << <span class="stringliteral">": \n"</span> << u << <span class="stringliteral">"\n\n"</span>;</div>
<div class="line"></div>
<div class="line"> <span class="comment">// indices of active (nonzero) functions at parameter u</span></div>
<div class="line"> <a class="code" href="classgismo_1_1gsMatrix.html">gsMatrix<index_t></a> active = pBasis->active(u);</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Active functions at u "</span> << size(active) << <span class="stringliteral">": \n"</span></div>
<div class="line"> << active << <span class="stringliteral">"\n\n"</span>;</div>
<div class="line"></div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Is number 2 active at the point ? "</span> <<pBasis->isActive(0,u.col(0)) << <span class="stringliteral">": \n"</span></div>
<div class="line"> << active << <span class="stringliteral">"\n\n"</span>;</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// values of all active functions at u</span></div>
<div class="line"> <a class="code" href="classgismo_1_1gsMatrix.html">gsMatrix<></a> values = pBasis->eval(u);</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Values at u "</span> << size(values) << <span class="stringliteral">": \n"</span></div>
<div class="line"> << values << <span class="stringliteral">"\n\n"</span>;</div>
<div class="line"></div>
<div class="line"> <span class="comment">// values of single basis functions</span></div>
<div class="line"> <span class="keywordflow">for</span> (<a class="code" href="gsConfig_8h.html#ad722078677c063a09661059674fb996c">index_t</a> i = 0; i != active.rows(); i++)</div>
<div class="line"> {</div>
<div class="line"> <a class="code" href="classgismo_1_1gsMatrix.html">gsMatrix<></a> val = pBasis->evalSingle(active(i), u);</div>
<div class="line"></div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"basis fun. index: "</span> << active(i)</div>
<div class="line"> << <span class="stringliteral">" value: "</span> << val(0, 0) << <span class="stringliteral">"\n"</span>;</div>
<div class="line"> }</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// ----------------------------------------------------------------------</span></div>
<div class="line"> <span class="comment">// derivatives</span></div>
<div class="line"> <span class="comment">// ----------------------------------------------------------------------</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <a class="code" href="classgismo_1_1gsMatrix.html">gsMatrix<></a> derivs = pBasis->deriv(u);</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Derivatives at u "</span> << size(derivs) << <span class="stringliteral">": \n"</span></div>
<div class="line"> << derivs << <span class="stringliteral">"\n\n"</span>;</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// derivatives of single basis function</span></div>
<div class="line"> <span class="keywordflow">for</span> (<a class="code" href="gsConfig_8h.html#ad722078677c063a09661059674fb996c">index_t</a> i = 0; i != active.rows(); i++)</div>
<div class="line"> {</div>
<div class="line"> <a class="code" href="classgismo_1_1gsMatrix.html">gsMatrix<></a> der = pBasis->derivSingle(active(i), u);</div>
<div class="line"></div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"basis fun. index: "</span> << active(i)</div>
<div class="line"> << <span class="stringliteral">" value: "</span> << std::setw(15) << der(0, 0) << <span class="stringliteral">"\n"</span>;</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">for</span> (<a class="code" href="gsConfig_8h.html#ad722078677c063a09661059674fb996c">index_t</a> row = 1; row != der.rows(); row++)</div>
<div class="line"> {</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << std::setw(46) << der(row, 0) << <span class="stringliteral">"\n"</span>;</div>
<div class="line"> }</div>
<div class="line"> }</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// ----------------------------------------------------------------------</span></div>
<div class="line"> <span class="comment">// second derivatives</span></div>
<div class="line"> <span class="comment">// ----------------------------------------------------------------------</span></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <a class="code" href="classgismo_1_1gsMatrix.html">gsMatrix<></a> derivs2 = pBasis->deriv2(u);</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Second derivatives at u "</span> << size(derivs2) << <span class="stringliteral">": \n"</span></div>
<div class="line"> << derivs2 << <span class="stringliteral">"\n\n"</span>;</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">for</span> (<a class="code" href="gsConfig_8h.html#ad722078677c063a09661059674fb996c">index_t</a> i = 0; i != active.rows(); i++)</div>
<div class="line"> {</div>
<div class="line"> <a class="code" href="classgismo_1_1gsMatrix.html">gsMatrix<></a> der2 = pBasis->deriv2Single(active(i), u);</div>
<div class="line"></div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"basis fun. index: "</span> << active(i)</div>
<div class="line"> << <span class="stringliteral">" value: "</span> << std::setw(15) << der2(0, 0) << <span class="stringliteral">"\n"</span>;</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">for</span> (<a class="code" href="gsConfig_8h.html#ad722078677c063a09661059674fb996c">index_t</a> row = 1; row != der2.rows(); row++)</div>
<div class="line"> {</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << std::setw(46) << der2(row, 0) << <span class="stringliteral">"\n"</span>;</div>
<div class="line"> }</div>
<div class="line"> }</div>
<div class="line"></div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"\nFor more information about evaluation "</span></div>
<div class="line"> << <span class="stringliteral">"(and order of derivatives) look at doxygen documentation."</span></div>
<div class="line"> << <span class="stringliteral">"\n\n"</span>;</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"></div>
<div class="line"> <span class="comment">// ======================================================================</span></div>
<div class="line"> <span class="comment">// writing to a paraview file</span></div>
<div class="line"> <span class="comment">// ======================================================================</span></div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">if</span> (output != <span class="stringliteral">""</span>)</div>
<div class="line"> {</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Writing the basis to a paraview file: "</span> << output</div>
<div class="line"> << <span class="stringliteral">"\n\n"</span>;</div>
<div class="line"> gsWriteParaview(*pBasis, output);</div>
<div class="line"> }</div>
<div class="line"> <span class="keywordflow">else</span></div>
<div class="line"> {</div>
<div class="line"> <a class="code" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Done. No output created, re-run with --output <filename> to get a ParaView "</span></div>
<div class="line"> <span class="stringliteral">"file containing the solution.\n"</span>;</div>
<div class="line"> }</div>
<div class="line"></div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
<div class="line"></div>
<div class="line"></div>
<div class="line"></div>
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