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<div class="headertitle"><div class="title">bSplineCurve_example.cpp</div></div>
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<div class="contents">
<div class="textblock"><h1><a class="anchor" id="bSplineCurve_exampleAnnotated"></a>
Annotated source file</h1>
<p>Here is the full file <code>examples/bSplineCurve_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"> </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><a class="code hl_namespace" href="namespacegismo.html">gismo</a>;</div>
<div class="line"> </div>
<div class="line"><span class="keywordtype">int</span> main(<span class="keywordtype">int</span> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">argc</a>, <span class="keywordtype">char</span> *<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">argv</a>[])</div>
<div class="line">{</div>
<div class="line"> <span class="keywordtype">bool</span> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">plot</a> = <span class="keyword">false</span>; <span class="comment">// If set to true, paraview file is generated and launched on exit</span></div>
<div class="line"> <span class="keywordtype">bool</span> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">trim</a> = <span class="keyword">false</span>; <span class="comment">// If set to true, trim/merge operations are displayed</span></div>
<div class="line"> <span class="keywordtype">bool</span> intersect = <span class="keyword">false</span>; <span class="comment">// If set to true, intersection example is displayed</span></div>
<div class="line"> </div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsCmdLine.html">gsCmdLine</a> cmd(<span class="stringliteral">"Tutorial 01 shows the use of BSpline curves."</span>);</div>
<div class="line"> cmd.addSwitch(<span class="stringliteral">"plot"</span>, <span class="stringliteral">"Plot result in ParaView format"</span>, <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">plot</a>);</div>
<div class="line"> cmd.addSwitch(<span class="stringliteral">"trim"</span>, <span class="stringliteral">"Basic trim/merge operations"</span>, <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">trim</a>);</div>
<div class="line"> cmd.addSwitch(<span class="stringliteral">"intersect"</span>, <span class="stringliteral">"Intersection operations"</span>, intersect);</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">try</span> { cmd.getValues(<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">argc</a>,<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">argv</a>); } <span class="keywordflow">catch</span> (<span class="keywordtype">int</span> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">rv</a>) { <span class="keywordflow">return</span> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">rv</a>; }</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Make a BSpline curve</span></div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsKnotVector<></a> kv(0, 1, 1, 3);<span class="comment">//start,end,interior knots, start/end multiplicites of knots</span></div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsMatrix<></a> coefs(4, 3);</div>
<div class="line"> coefs << 0, 0, 0,</div>
<div class="line"> 1, 2, 3,</div>
<div class="line"> 2, 1, 4,</div>
<div class="line"> 4, 4, 4;</div>
<div class="line"> </div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsBSpline<></a> curve(kv, coefs);</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Print the Bspline curve</span></div>
<div class="line"> <a class="code hl_define" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"I am a "</span> << curve << <span class="stringliteral">"\n"</span>;</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">if</span> (<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">plot</a>)</div>
<div class="line"> { </div>
<div class="line"> <span class="comment">// Output a paraview file</span></div>
<div class="line"> coefs.transposeInPlace();</div>
<div class="line"> gsWriteParaview( curve, <span class="stringliteral">"bsplinecurve0"</span>, 100);</div>
<div class="line"> gsWriteParaview( curve, <span class="stringliteral">"bsplinecurve"</span>, 100, <span class="keyword">true</span>, <span class="keyword">true</span>);</div>
<div class="line"> gsWriteParaviewPoints( coefs, <span class="stringliteral">"coefficients"</span>);</div>
<div class="line"> gsFileManager::open(<span class="stringliteral">"bsplinecurve0.pvd"</span>);</div>
<div class="line"> }</div>
<div class="line"> <span class="keywordflow">else</span></div>
<div class="line"> <a class="code hl_define" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Done. No output created, re-run with --plot 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"> <span class="comment">// Basic trim/merge operations on BSpline curves - @Ye</span></div>
<div class="line"> <span class="keywordflow">if</span> (<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">trim</a>)</div>
<div class="line"> {</div>
<div class="line"> <a class="code hl_define" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Original BSpline curve: "</span> << curve << <span class="stringliteral">"\n"</span>;</div>
<div class="line"> gsWriteParaview( curve, <span class="stringliteral">"originalCurve"</span>, 100); <span class="comment">// Output the original curve</span></div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Segment this BSpline curve between parameters 0.3 and 0.8</span></div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsBSpline<></a> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segment</a> = curve.segmentFromTo(0.3, 0.8);</div>
<div class="line"> <a class="code hl_define" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Curve segment from u0 = 0.3 to u1 = 0.8: "</span> << <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segment</a> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"> gsWriteParaview(<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segment</a>, <span class="stringliteral">"segment"</span>, 100); <span class="comment">// Output the curve segment</span></div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Split the curve at parameter 0.4 into two parts</span></div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsBSpline<></a> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segmentLeft</a>, <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segmentRight</a>;</div>
<div class="line"> curve.splitAt(0.4, <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segmentLeft</a>, <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segmentRight</a>);</div>
<div class="line"> <a class="code hl_define" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Curve segment from u0 = 0.0 to u1 = 0.4: "</span> << <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segmentLeft</a> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"> <a class="code hl_define" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Curve segment from u0 = 0.4 to u1 = 1.0: "</span> << <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segmentRight</a> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"> gsWriteParaview( <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segmentLeft</a>, <span class="stringliteral">"segmentLeft"</span>, 100);</div>
<div class="line"> gsWriteParaview( <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segmentRight</a>, <span class="stringliteral">"segmentRight"</span>, 100);</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Merge the left and right segments back to the original curve</span></div>
<div class="line"> <span class="comment">// Note: Due to the segmentation, an inner knot value of 0.4 is introduced, while</span></div>
<div class="line"> <span class="comment">// the geometry remains exactly the same as the original one</span></div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsBSpline<></a> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">mergedCurve</a> = <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segmentLeft</a>;</div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">mergedCurve</a>.merge(&<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">segmentRight</a>);</div>
<div class="line"> <a class="code hl_define" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"The merged curve: "</span> << <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">mergedCurve</a> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"> gsWriteParaview( <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">mergedCurve</a>, <span class="stringliteral">"mergedCurve"</span>, 100);</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// convert it into bezier segments</span></div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsMultiPatch<></a> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">bezSegments</a> = <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">mergedCurve</a>.toBezier();</div>
<div class="line"> gsWriteParaview(<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">bezSegments</a>, <span class="stringliteral">"bezierContainer"</span>, 100);</div>
<div class="line"> }</div>
<div class="line"> <span class="keywordflow">else</span></div>
<div class="line"> <a class="code hl_define" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Done. Re-run with --trim to learn basic trim/merge operations\n"</span>;</div>
<div class="line"> </div>
<div class="line"> <span class="comment">// Basic intersection operations between two BSpline curves - @Ye</span></div>
<div class="line"> <span class="keywordflow">if</span> (intersect)</div>
<div class="line"> {</div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsMatrix<real_t></a> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">ctrPts1</a>(4, 2);</div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">ctrPts1</a> << 0,0, 1,1, 2,1, 3,1;</div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsBSpline<real_t></a> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">bsp1</a>(0, 1, 0, 3, <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">ctrPts1</a>);</div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsMatrix<real_t></a> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">ctrPts2</a>(4, 2);</div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">ctrPts2</a> << 0,0, 1,2, 2,2, 3,0;</div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsBSpline<real_t></a> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">bsp2</a>(0, 1, 0, 3, <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">ctrPts2</a>);</div>
<div class="line"> </div>
<div class="line"> <span class="keyword">auto</span> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">intersectPts</a> = <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">bsp1</a>.intersect(<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">bsp2</a>, 1e-5);</div>
<div class="line"> </div>
<div class="line"> <a class="code hl_define" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">intersectPts</a>.<a class="code hl_function" href="classgismo_1_1gsHTensorBasis.html#a7b678238a21dd0a25a3d8a67c11abb45">size</a>() << <span class="stringliteral">" intersections are found!"</span> << <span class="stringliteral">"\n"</span>;</div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">gsMatrix<></a> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">iPts</a>(<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">bsp1</a>.geoDim(), <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">intersectPts</a>.<a class="code hl_function" href="classgismo_1_1gsHTensorBasis.html#a7b678238a21dd0a25a3d8a67c11abb45">size</a>());</div>
<div class="line"> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">j</a> = 0; <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">j</a> < <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">intersectPts</a>.<a class="code hl_function" href="classgismo_1_1gsHTensorBasis.html#a7b678238a21dd0a25a3d8a67c11abb45">size</a>(); ++<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">j</a>)</div>
<div class="line"> {</div>
<div class="line"> <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">iPts</a>.col(<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">j</a>) = <a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">intersectPts</a>[<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">j</a>].getPoint();</div>
<div class="line"> }</div>
<div class="line"> <span class="keywordflow">if</span> (!<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">intersectPts</a>.empty())</div>
<div class="line"> {</div>
<div class="line"> <a class="code hl_function" href="namespacegismo.html#ae547d2af24b488450296ced53b2418c7">gsWriteParaviewPoints</a>(<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">iPts</a>, <span class="stringliteral">"intersect"</span>);</div>
<div class="line"> }</div>
<div class="line"> </div>
<div class="line"> gsWriteParaview(<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">bsp1</a>, <span class="stringliteral">"bsp1"</span>, 2000);</div>
<div class="line"> gsWriteParaview(<a class="code hl_class" href="classgismo_1_1gsTHBSplineBasis.html">bsp2</a>, <span class="stringliteral">"bsp2"</span>, 2000);</div>
<div class="line"> }</div>
<div class="line"> <span class="keywordflow">else</span></div>
<div class="line"> <a class="code hl_define" href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a> << <span class="stringliteral">"Done. Re-run with --intersect to learn intersection operations\n"</span>;</div>
<div class="line"> </div>
<div class="line"> <span class="keywordflow">return</span> 0;</div>
<div class="line">}</div>
<div class="ttc" id="aclassgismo_1_1gsCmdLine_html"><div class="ttname"><a href="classgismo_1_1gsCmdLine.html">gismo::gsCmdLine</a></div><div class="ttdoc">Class for command-line argument parsing.</div><div class="ttdef"><b>Definition</b> gsCmdLine.h:57</div></div>
<div class="ttc" id="aclassgismo_1_1gsHTensorBasis_html_a7b678238a21dd0a25a3d8a67c11abb45"><div class="ttname"><a href="classgismo_1_1gsHTensorBasis.html#a7b678238a21dd0a25a3d8a67c11abb45">gismo::gsHTensorBasis::size</a></div><div class="ttdeci">index_t size() const</div><div class="ttdoc">The number of basis functions in this basis.</div><div class="ttdef"><b>Definition</b> gsHTensorBasis.hpp:298</div></div>
<div class="ttc" id="aclassgismo_1_1gsTHBSplineBasis_html"><div class="ttname"><a href="classgismo_1_1gsTHBSplineBasis.html">gismo::gsTHBSplineBasis</a></div><div class="ttdoc">Truncated hierarchical B-spline basis.</div><div class="ttdef"><b>Definition</b> gsTHBSplineBasis.h:36</div></div>
<div class="ttc" id="agismo_8h_html"><div class="ttname"><a href="gismo_8h.html">gismo.h</a></div><div class="ttdoc">Main header to be included by clients using the G+Smo library.</div></div>
<div class="ttc" id="agsDebug_8h_html_af6177e1e282640c3cb9175565f84a432"><div class="ttname"><a href="gsDebug_8h.html#af6177e1e282640c3cb9175565f84a432">gsInfo</a></div><div class="ttdeci">#define gsInfo</div><div class="ttdef"><b>Definition</b> gsDebug.h:43</div></div>
<div class="ttc" id="anamespacegismo_html"><div class="ttname"><a href="namespacegismo.html">gismo</a></div><div class="ttdoc">The G+Smo namespace, containing all definitions for the library.</div></div>
<div class="ttc" id="anamespacegismo_html_ae547d2af24b488450296ced53b2418c7"><div class="ttname"><a href="namespacegismo.html#ae547d2af24b488450296ced53b2418c7">gismo::gsWriteParaviewPoints</a></div><div class="ttdeci">void gsWriteParaviewPoints(gsMatrix< T > const &X, gsMatrix< T > const &Y, std::string const &fn)</div><div class="ttdoc">Export 2D Point set to Paraview file.</div><div class="ttdef"><b>Definition</b> gsWriteParaview.hpp:1383</div></div>
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