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<h1>Modifying Meshes</h1>

<h3><a name=bookmark>Adding Nodes and Elements</a></h3>

<h4>Add Node</h4>

<p class="whs1">import SMESH_mechanic</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">mesh = SMESH_mechanic.mesh</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># add node</p>

<p class="whs1"><span style="font-family: 'Lucida Console', monospace;">new_id 
 = mesh.AddNode(50, 10, 0)</span></p>

<p class="whs1">print &quot;&quot;</p>

<p class="whs1">if new_id == 0: 
 print &quot;KO node addition.&quot;</p>

<p class="whs1">else: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;New Node has been added with ID &quot;, new_id &nbsp;</p>

<p class="whs1">&nbsp;</p>

<h4>Add Edge</h4>

<p class="whs1">import SMESH_mechanic</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">mesh = SMESH_mechanic.mesh</p>

<p class="whs1">print &quot;&quot;</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># add node</p>

<p class="whs1"><span style="font-family: 'Lucida Console', monospace;">n1 
 = mesh.AddNode(50, 10, 0)</span></p>

<p class="whs1">if n1 == 0: print 
 &quot;KO node addition.&quot; </p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># add edge</p>

<p class="whs1"><span style="font-family: 'Lucida Console', monospace;">e1 
 = mesh.AddEdge([n1, 38])</span></p>

<p class="whs1">if e1 == 0: print 
 &quot;KO edge addition.&quot;</p>

<p class="whs1">else: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;New Edge has been added with ID &quot;, e1 </p>

<h4>Add Triangle</h4>

<p class="whs1">import SMESH_mechanic</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">mesh = SMESH_mechanic.mesh</p>

<p class="whs1">print &quot;&quot;</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># add node</p>

<p class="whs1">n1 = mesh.AddNode(50, 
 10, 0)</p>

<p class="whs1">if n1 == 0: print 
 &quot;KO node addition.&quot;</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># add triangle</p>

<p class="whs1">t1 = mesh.AddFace([n1, 
 38, 39])</p>

<p class="whs1">if t1 == 0: print 
 &quot;KO triangle addition.&quot;</p>

<p class="whs1">else: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;New Triangle has been added with ID &quot;, t1 </p>

<h4>Add Quadrangle</h4>

<p class="whs1">import SMESH_mechanic</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">mesh = SMESH_mechanic.mesh</p>

<p class="whs1">print &quot;&quot;</p>

<p class="whs3">&nbsp;</p>

<p class="whs3"># add node</p>

<p class="whs1">n1 = mesh.AddNode(50, 
 10, 0)</p>

<p class="whs1">if n1 == 0: print 
 &quot;KO node addition.&quot;</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">n2 = mesh.AddNode(40, 
 20, 0)</p>

<p class="whs1">if n2 == 0: print 
 &quot;KO node addition.&quot;</p>

<p class="whs1">&nbsp;</p>

<p class="whs3"># add quadrangle</p>

<p class="whs1">q1 = mesh.AddFace([n2, 
 n1, 38, 39])</p>

<p class="whs1">if q1 == 0: print 
 &quot;KO quadrangle addition.&quot;</p>

<p class="whs3"><span style="font-family: 'Lucida Console', monospace;">else: 
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;New Quadrangle has been added with ID &quot;, q1</span> </p>

<h4>Add Tetrahedron</h4>

<p class="whs1">import SMESH_mechanic</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">mesh = SMESH_mechanic.mesh</p>

<p class="whs1">print &quot;&quot;</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># add node</p>

<p class="whs1">n1 = mesh.AddNode(50, 
 10, 0)</p>

<p class="whs1">if n1 == 0: print 
 &quot;KO node addition.&quot;</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># add tetrahedron</p>

<p class="whs1">t1 = mesh.AddVolume([n1, 
 38, 39, 246])</p>

<p class="whs1">if t1 == 0: print 
 &quot;KO tetrahedron addition.&quot;</p>

<p class="whs3"><span style="font-family: 'Lucida Console', monospace;">else: 
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;New Tetrahedron has been added with ID &quot;, t1</span> </p>

<h4>Add Hexahedron</h4>

<p class="whs1">import SMESH_mechanic</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">mesh = SMESH_mechanic.mesh</p>

<p class="whs1">print &quot;&quot;</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># add nodes</p>

<p class="whs1">nId1 = mesh.AddNode(50, 
 10, 0)</p>

<p class="whs1">nId2 = mesh.AddNode(47, 
 12, 0)</p>

<p class="whs1">nId3 = mesh.AddNode(50, 
 10, 10)</p>

<p class="whs1">nId4 = mesh.AddNode(47, 
 12, 10)</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">if nId1 == 0 or 
 nId2 == 0 or nId3 == 0 or nId4 == 0: print &quot;KO node addition.&quot;</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># add hexahedron</p>

<p class="whs1">vId = mesh.AddVolume([nId2, 
 nId1, 38, 39, nId4, nId3, 245, 246])</p>

<p class="whs1">if vId == 0: print 
 &quot;KO Hexahedron addition.&quot;</p>

<p class="whs1">else: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;New Hexahedron has been added with ID &quot;, vId </p>

<p class="whs1">&nbsp;</p>

<h4>Add Polygon</h4>

<p class="whs1"><span style="font-family: 'Lucida Console', monospace;">import 
 math</span></p>

<p class="whs1">import salome</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">import smesh</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># create an empty mesh 
 structure</p>

<p class="whs1">mesh = smesh.Mesh() 
 </p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># a method to build 
 a polygonal mesh element with &lt;nb_vert&gt; angles:</p>

<p class="whs1">def MakePolygon 
 (a_mesh, x0, y0, z0, radius, nb_vert):</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;al 
 = 2.0 * math.pi / nb_vert</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;node_ids 
 = []</p>

<p class="whs1">&nbsp;</p>

<p class="whs2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;# 
 Create nodes for a polygon</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;for 
 ii in range(nb_vert):</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;nid 
 = mesh.AddNode(x0 + radius * math.cos(ii*al),</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;y0 
 + radius * math.sin(ii*al),</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;z0)</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;node_ids.append(nid)</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;pass</p>

<p class="whs1">&nbsp;</p>

<p class="whs2">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;# 
 Create a polygon</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;return 
 mesh.AddPolygonalFace(node_ids)</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># Create three polygons</p>

<p class="whs1">f1 = MakePolygon(mesh, 
 0, 0, &nbsp;0, 
 30, 13)</p>

<p class="whs1">f2 = MakePolygon(mesh, 
 0, 0, 10, 21, &nbsp;9)</p>

<p class="whs1">f3 = MakePolygon(mesh, 
 0, 0, 20, 13, &nbsp;6)</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">salome.sg.updateObjBrowser(1) 
 </p>

<h4>Add Polyhedron</h4>

<p class="whs1"><span style="font-family: 'Lucida Console', monospace;">import 
 salome</span></p>

<p class="whs1">import math</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># create an empty mesh 
 structure</p>

<p class="whs1">mesh = smesh.Mesh() 
 &nbsp;</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># Create nodes for 
 12-hedron with pentagonal faces</p>

<p class="whs1">al = 2 * math.pi 
 / 5.0</p>

<p class="whs1">cosal = math.cos(al)</p>

<p class="whs1">aa = 13</p>

<p class="whs1">rr = aa / (2.0 * 
 math.sin(al/2.0))</p>

<p class="whs1">dr = 2.0 * rr * 
 cosal</p>

<p class="whs1">r1 = rr + dr</p>

<p class="whs1">dh = rr * math.sqrt(2.0 
 * (1.0 - cosal * (1.0 + 2.0 * cosal)))</p>

<p class="whs1">hh = 2.0 * dh - 
 dr * (rr*(cosal - 1) + (rr + dr)*(math.cos(al/2) - 1)) / dh</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">dd = [] <span style="font-family: 'Times New Roman', serif;"># 
 top</span></p>

<p class="whs1">cc = [] <span style="font-family: 'Times New Roman', serif;"># 
 below top</span></p>

<p class="whs1">bb = [] <span style="font-family: 'Times New Roman', serif;"># 
 above bottom</span></p>

<p class="whs1">aa = [] <span style="font-family: 'Times New Roman', serif;"># 
 bottom</span></p>

<p class="whs1">&nbsp;</p>

<p class="whs1">for i in range(5):</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;cos_bot 
 = math.cos(i*al)</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;sin_bot 
 = math.sin(i*al)</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;<span 
 style="margin-top: 0pt;
		margin-bottom: 0pt;
		font-family: 'Lucida Console', monospace;">cos_top 
 = math.cos(i*al + al/2.0)</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;sin_top 
 = math.sin(i*al + al/2.0)</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;nd 
 = mesh.AddNode(rr * cos_top, rr * sin_top, hh &nbsp;&nbsp;&nbsp;&nbsp;) 
 <span style="font-family: 'Times New Roman', serif;"># top</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;nc 
 = mesh.AddNode(r1 * cos_top, r1 * sin_top, hh - dh) <span style="font-family: 'Times New Roman', serif;"># 
 below top</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;nb 
 = mesh.AddNode(r1 * cos_bot, r1 * sin_bot, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;dh) 
 <span style="font-family: 'Times New Roman', serif;"># above bottom</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;na 
 = mesh.AddNode(rr * cos_bot, rr * sin_bot, &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0) 
 <span style="font-family: 'Times New Roman', serif;"># bottom</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;dd.append(nd) 
 <span style="font-family: 'Times New Roman', serif;"># top</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;cc.append(nc) 
 <span style="font-family: 'Times New Roman', serif;"># below top</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;bb.append(nb) 
 <span style="font-family: 'Times New Roman', serif;"># above bottom</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;aa.append(na) 
 <span style="font-family: 'Times New Roman', serif;"># bottom</span></p>

<p class="whs1">&nbsp;</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;pass</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># Create a polyhedral 
 volume (12-hedron with pentagonal faces)</p>

<p class="whs1">MeshEditor.AddPolyhedralVolume([dd[0], 
 dd[1], dd[2], dd[3], dd[4], &nbsp;<span style="font-family: 'Times New Roman', serif;"># 
 top</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;dd[0], 
 cc[0], bb[1], cc[1], dd[1], &nbsp;# 
 -</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;dd[1], 
 cc[1], bb[2], cc[2], dd[2], &nbsp;# 
 -</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;dd[2], 
 cc[2], bb[3], cc[3], dd[3], &nbsp;<span style="font-family: 'Times New Roman', serif;"># 
 - below top</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;dd[3], 
 cc[3], bb[4], cc[4], dd[4], &nbsp;# 
 -</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;dd[4], 
 cc[4], bb[0], cc[0], dd[0], &nbsp;# 
 -</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;aa[4], 
 bb[4], cc[4], bb[0], aa[0], &nbsp;# 
 .</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;aa[3], 
 bb[3], cc[3], bb[4], aa[4], &nbsp;# 
 .</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;aa[2], 
 bb[2], cc[2], bb[3], aa[3], &nbsp;<span style="font-family: 'Times New Roman', serif;"># 
 . above bottom</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;aa[1], 
 bb[1], cc[1], bb[2], aa[2], &nbsp;# 
 .</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;aa[0], 
 bb[0], cc[0], bb[1], aa[1], &nbsp;# 
 .</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;aa[0], 
 aa[1], aa[2], aa[3], aa[4]], <span style="font-family: 'Times New Roman', serif;"># 
 bottom</span></p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[5,5,5,5,5,5,5,5,5,5,5,5])</p>

<p class="whs1">salome.sg.updateObjBrowser(1) 
 </p>

<p class="whs1">&nbsp;</p>

<h3><a name=bookmark1>Removing Nodes and Elements</a></h3>

<h4 class="whs4">Removing Nodes</h4>

<p class="whs3">&nbsp;</p>

<p class="whs1"><span style="font-family: 'Lucida Console', monospace;">import 
 SMESH_mechanic</span></p>

<p class="whs1">&nbsp;</p>

<p class="whs1">mesh = SMESH_mechanic.mesh</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># remove nodes #246 
 and #255</p>

<p class="whs1">res = mesh.RemoveNodes([246, 
 255])</p>

<p class="whs1">if res == 1: print 
 &quot;Nodes removing is OK!&quot;</p>

<p class="whs1">else: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;KO nodes removing.&quot; </p>

<p class="whs3">&nbsp;</p>

<h4>Removing Elements</h4>

<p class="whs1">import SMESH_mechanic</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">mesh = SMESH_mechanic.mesh</p>

<p class="whs1">&nbsp;</p>

<p class="whs2"># remove three elements: 
 #850, #859 and #814</p>

<p class="whs1">res = mesh.RemoveElements([850, 
 859, 814])</p>

<p class="whs1">if res == 1: print 
 &quot;Elements removing is OK!&quot;</p>

<p class="whs1">else: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;KO Elements removing.&quot; &nbsp;</p>

<p class="whs1">&nbsp;</p>

<h3><a name=bookmark2>Renumbering Nodes and Elements</a></h3>

<p class="whs5">import SMESH_mechanic</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">mesh = SMESH_mechanic.mesh</p>

<p class="whs6">&nbsp;</p>

<p class="whs6"><span style="font-family: 'Lucida Console', monospace;">mesh.RenumberNodes()</span> 
 </p>

<h3><a name=bookmark3>Moving Nodes</a></h3>

<p class="whs1">import SMESH_mechanic</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">mesh = SMESH_mechanic.mesh</p>

<p class="whs3">&nbsp;</p>

<p class="whs3"># move node #38</p>

<p class="whs1">mesh.MoveNode(38, 
 20., 10., 0.) </p>

<p class="whs1">&nbsp;</p>

<p class="whs2">&nbsp;</p>

<p class="whs7"><a name=bookmark14
									style="font-weight: bold; font-size: 13.5pt;">Mesh 
 through point</a></p>

<p class="whs3">&nbsp;</p>

<p class="whs1">from geompy import 
 *</p>

<p class="whs1">from smesh import 
 *</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">box = MakeBoxDXDYDZ(200, 
 200, 200)</p>

<p class="whs1">&nbsp;</p>

<p class="whs1">mesh = Mesh( box 
 )</p>

<p class="whs1">mesh.Segment().AutomaticLength(0.1)</p>

<p class="whs1">mesh.Quadrangle()</p>

<p class="whs1">mesh.Compute()</p>

<p class="whs3">&nbsp;</p>

<p class="whs3"># find node at (0,0,0)</p>

<p class="whs1">node000 = None</p>

<p class="whs1">for vId in SubShapeAllIDs( 
 box, ShapeType[&quot;VERTEX&quot;]):</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;if 
 node000: break</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;nodeIds 
 = mesh.GetSubMeshNodesId( vId, True )</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;for 
 node in nodeIds:</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;xyz 
 = mesh.GetNodeXYZ( node )</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;if 
 xyz[0] == 0 and xyz[1] == 0 and xyz[2] == 0 :</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;node000 
 = node</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;pass</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;pass</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;pass</p>

<p class="whs1">if not node000:</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;raise 
 &quot;node000 not found&quot;</p>

<p class="whs3">&nbsp;</p>

<p class="whs3"># find node000 using the 
 tested function </p>

<p class="whs1">n = mesh.FindNodeClosestTo( 
 -1,-1,-1 )</p>

<p class="whs1">if not n == node000:</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;raise 
 &quot;FindNodeClosestTo() returns &quot; + str( n ) + &quot; != &quot; 
 + str( node000 )</p>

<p class="whs3">&nbsp;</p>

<p class="whs3"># check if any node will 
 be found for a point inside a box</p>

<p class="whs1">n = mesh.FindNodeClosestTo( 
 100, 100, 100 )</p>

<p class="whs1">if not n &gt; 0:</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;raise 
 &quot;FindNodeClosestTo( 100, 100, 100 ) fails&quot;</p>

<p class="whs3">&nbsp;</p>

<p class="whs3"># move node000 to a new 
 location</p>

<p class="whs1">x,y,z = -10, -10, 
 -10</p>

<p class="whs1">n = mesh.MeshToPassThroughAPoint( 
 x,y,z )</p>

<p class="whs1">if not n == node000:</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;raise 
 &quot;FindNodeClosestTo() returns &quot; + str( n ) + &quot; != &quot; 
 + str( node000 )</p>

<p class="whs3">&nbsp;</p>

<p class="whs3"># check the coordinates 
 of the node000</p>

<p class="whs1">xyz = mesh.GetNodeXYZ( 
 node000 )</p>

<p class="whs1">if not ( xyz[0] 
 == x and xyz[1] == y and xyz[2] == z) :</p>

<p class="whs1">&nbsp;&nbsp;&nbsp;&nbsp;raise 
 &quot;Wrong coordinates: &quot; + str( xyz ) + &quot; != &quot; + str( 
 [x,y,z] )</p>

<h3><a name=bookmark4>Diagonal Inversion</a></h3>

<p class="whs5">import salome</p>

<p class="whs5">import smesh</p>

<p class="whs5">&nbsp;</p>

<p class="whs8"># create an empty mesh 
 structure</p>

<p class="whs5">mesh = smesh.Mesh() 
 </p>

<p class="whs5">&nbsp;</p>

<p class="whs8"># create the following 
 mesh:</p>

<p class="whs5"># .----.----.----.</p>

<p class="whs5"># | &nbsp;&nbsp;/| 
 &nbsp;&nbsp;/| 
 &nbsp;&nbsp;/|</p>

<p class="whs5"># | &nbsp;/ 
 | &nbsp;/ | &nbsp;/ 
 |</p>

<p class="whs5"># | / &nbsp;| 
 / &nbsp;| / &nbsp;|</p>

<p class="whs5"># |/ &nbsp;&nbsp;|/ 
 &nbsp;&nbsp;|/ 
 &nbsp;&nbsp;|</p>

<p class="whs5"># .----.----.----.</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">bb = [0, 0, 0, 0]</p>

<p class="whs5">tt = [0, 0, 0, 0]</p>

<p class="whs5">ff = [0, 0, 0, 0, 
 0, 0]</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">bb[0] = mesh.AddNode( 
 0., 0., 0.)</p>

<p class="whs5">bb[1] = mesh.AddNode(10., 
 0., 0.)</p>

<p class="whs5">bb[2] = mesh.AddNode(20., 
 0., 0.)</p>

<p class="whs5">bb[3] = mesh.AddNode(30., 
 0., 0.)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">tt[0] = mesh.AddNode( 
 0., 15., 0.)</p>

<p class="whs5">tt[1] = mesh.AddNode(10., 
 15., 0.)</p>

<p class="whs5">tt[2] = mesh.AddNode(20., 
 15., 0.)</p>

<p class="whs5">tt[3] = mesh.AddNode(30., 
 15., 0.)</p>

<p class="whs5">&nbsp;</p>

<p class="whs5">ff[0] = mesh.AddFace([bb[0], 
 bb[1], tt[1]])</p>

<p class="whs5">ff[1] = mesh.AddFace([bb[0], 
 tt[1], tt[0]])</p>

<p class="whs5">ff[2] = mesh.AddFace([bb[1], 
 bb[2], tt[2]])</p>

<p class="whs5">ff[3] = mesh.AddFace([bb[1], 
 tt[2], tt[1]])</p>

<p class="whs5">ff[4] = mesh.AddFace([bb[2], 
 bb[3], tt[3]])</p>

<p class="whs5">ff[5] = mesh.AddFace([bb[2], 
 tt[3], tt[2]])</p>

<p class="whs5">&nbsp;</p>

<p class="whs8"># inverse the diagonal 
 bb[1] - tt[2]</p>

<p class="whs5">print &quot;\nDiagonal 
 inversion ... &quot;,</p>

<p class="whs5">res = mesh.InverseDiag(bb[1], 
 tt[2])</p>

<p class="whs5">if not res: print 
 &quot;failed!&quot;</p>

<p class="whs5">else: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;done.&quot;</p>

<p class="whs6">&nbsp;</p>

<p class="whs6"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

<h3><a name=bookmark5>Uniting two Triangles</a></h3>

<p class="whs9">import salome</p>

<p class="whs9">import smesh</p>

<p>&nbsp;</p>

<p># create an empty mesh structure</p>

<p class="whs9">mesh = smesh.Mesh() 
 </p>

<p>&nbsp;</p>

<p># create the following mesh:</p>

<p class="whs9"># .----.----.----.</p>

<p class="whs9"># | &nbsp;&nbsp;/| 
 &nbsp;&nbsp;/| 
 &nbsp;&nbsp;/|</p>

<p class="whs9"># | &nbsp;/ 
 | &nbsp;/ | &nbsp;/ 
 |</p>

<p class="whs9"># | / &nbsp;| 
 / &nbsp;| / &nbsp;|</p>

<p class="whs9"># |/ &nbsp;&nbsp;|/ 
 &nbsp;&nbsp;|/ 
 &nbsp;&nbsp;|</p>

<p class="whs9"># .----.----.----.</p>

<p>&nbsp;</p>

<p class="whs9">bb = [0, 0, 0, 0]</p>

<p class="whs9">tt = [0, 0, 0, 0]</p>

<p class="whs9">ff = [0, 0, 0, 0, 
 0, 0]</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"><span style="font-family: 'Lucida Console', monospace;">bb[0] 
 = mesh.AddNode( 0., 0., 0.)</span></p>

<p class="whs9">bb[1] = mesh.AddNode(10., 
 0., 0.)</p>

<p class="whs9">bb[2] = mesh.AddNode(20., 
 0., 0.)</p>

<p class="whs9">bb[3] = mesh.AddNode(30., 
 0., 0.)</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">tt[0] = mesh.AddNode( 
 0., 15., 0.)</p>

<p class="whs9">tt[1] = mesh.AddNode(10., 
 15., 0.)</p>

<p class="whs9">tt[2] = mesh.AddNode(20., 
 15., 0.)</p>

<p class="whs9">tt[3] = mesh.AddNode(30., 
 15., 0.)</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">ff[0] = mesh.AddFace([bb[0], 
 bb[1], tt[1]])</p>

<p class="whs9">ff[1] = mesh.AddFace([bb[0], 
 tt[1], tt[0]])</p>

<p class="whs9">ff[2] = mesh.AddFace([bb[1], 
 bb[2], tt[2]])</p>

<p class="whs9">ff[3] = mesh.AddFace([bb[1], 
 tt[2], tt[1]])</p>

<p class="whs9">ff[4] = mesh.AddFace([bb[2], 
 bb[3], tt[3]])</p>

<p class="whs9">ff[5] = mesh.AddFace([bb[2], 
 tt[3], tt[2]]) </p>

<p>&nbsp;</p>

<p># delete the diagonal bb[1] - tt[2]</p>

<p class="whs9">print &quot;\nUnite 
 two triangles ... &quot;,</p>

<p class="whs9">res = mesh.DeleteDiag(bb[1], 
 tt[2])</p>

<p class="whs9">if not res: print 
 &quot;failed!&quot;</p>

<p class="whs9">else: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;done.&quot;</p>

<p class="whs9">&nbsp;</p>

<p><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

<h3><a name=bookmark6>Uniting a Set of Triangles</a></h3>

<p class="whs9">import salome</p>

<p class="whs9">import smesh</p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># create an empty mesh 
 structure</p>

<p class="whs9">mesh = smesh.Mesh() 
 </p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># create the following 
 mesh:</p>

<p class="whs9"># .----.----.----.</p>

<p class="whs9"># | &nbsp;&nbsp;/| 
 &nbsp;&nbsp;/| 
 &nbsp;&nbsp;/|</p>

<p class="whs9"># | &nbsp;/ 
 | &nbsp;/ | &nbsp;/ 
 |</p>

<p class="whs9"># | / &nbsp;| 
 / &nbsp;| / &nbsp;|</p>

<p class="whs9"># |/ &nbsp;&nbsp;|/ 
 &nbsp;&nbsp;|/ 
 &nbsp;&nbsp;|</p>

<p class="whs9"># .----.----.----.</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">bb = [0, 0, 0, 0]</p>

<p class="whs9">tt = [0, 0, 0, 0]</p>

<p class="whs9">ff = [0, 0, 0, 0, 
 0, 0]</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"><span style="font-family: 'Lucida Console', monospace;">bb[0] 
 = mesh.AddNode( 0., 0., 0.)</span></p>

<p class="whs9">bb[1] = mesh.AddNode(10., 
 0., 0.)</p>

<p class="whs9">bb[2] = mesh.AddNode(20., 
 0., 0.)</p>

<p class="whs9">bb[3] = mesh.AddNode(30., 
 0., 0.)</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">tt[0] = mesh.AddNode( 
 0., 15., 0.)</p>

<p class="whs9">tt[1] = mesh.AddNode(10., 
 15., 0.)</p>

<p class="whs9">tt[2] = mesh.AddNode(20., 
 15., 0.)</p>

<p class="whs9">tt[3] = mesh.AddNode(30., 
 15., 0.)</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">ff[0] = mesh.AddFace([bb[0], 
 bb[1], tt[1]])</p>

<p class="whs9">ff[1] = mesh.AddFace([bb[0], 
 tt[1], tt[0]])</p>

<p class="whs9">ff[2] = mesh.AddFace([bb[1], 
 bb[2], tt[2]])</p>

<p class="whs9">ff[3] = mesh.AddFace([bb[1], 
 tt[2], tt[1]])</p>

<p class="whs9">ff[4] = mesh.AddFace([bb[2], 
 bb[3], tt[3]])</p>

<p class="whs9">ff[5] = mesh.AddFace([bb[2], 
 tt[3], tt[2]])</p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># unite a set of triangles</p>

<p class="whs9"><span style="font-family: 'Lucida Console', monospace;">print 
 &quot;\nUnite a set of triangles ... &quot;,</span></p>

<p class="whs9">res = mesh.TriToQuad([ff[2], 
 ff[3], ff[4], ff[5]], smesh.FT_MinimumAngle, 60.)</p>

<p class="whs9">if not res: print 
 &quot;failed!&quot;</p>

<p class="whs9">else: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;done.&quot;</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">salome.sg.updateObjBrowser(1) 
 &nbsp;</p>

<h3><a name=bookmark12>Orientation</a></h3>

<p class="whs9">import salome</p>

<p class="whs9">import smesh</p>

<p class="whs9">&nbsp;</p>

<p># create an empty mesh structure</p>

<p class="whs9">mesh = smesh.Mesh() 
 </p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># build five quadrangles:</p>

<p class="whs9">dx = 10</p>

<p class="whs9">dy = 20</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"><span style="font-family: 'Lucida Console', monospace;">n1 
 &nbsp;= mesh.AddNode(0.0 
 * dx, 0, 0)</span></p>

<p class="whs9">n2 &nbsp;= 
 mesh.AddNode(1.0 * dx, 0, 0)</p>

<p class="whs9">n3 &nbsp;= 
 mesh.AddNode(2.0 * dx, 0, 0)</p>

<p class="whs9">n4 &nbsp;= 
 mesh.AddNode(3.0 * dx, 0, 0)</p>

<p class="whs9">n5 &nbsp;= 
 mesh.AddNode(4.0 * dx, 0, 0)</p>

<p class="whs9">n6 &nbsp;= 
 mesh.AddNode(5.0 * dx, 0, 0)</p>

<p class="whs9">n7 &nbsp;= 
 mesh.AddNode(0.0 * dx, dy, 0)</p>

<p class="whs9">n8 &nbsp;= 
 mesh.AddNode(1.0 * dx, dy, 0)</p>

<p class="whs9">n9 &nbsp;= 
 mesh.AddNode(2.0 * dx, dy, 0)</p>

<p class="whs9">n10 = mesh.AddNode(3.0 
 * dx, dy, 0)</p>

<p class="whs9">n11 = mesh.AddNode(4.0 
 * dx, dy, 0)</p>

<p class="whs9">n12 = mesh.AddNode(5.0 
 * dx, dy, 0)</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">f1 = mesh.AddFace([n1, 
 n2, n8 , n7 ])</p>

<p class="whs9">f2 = mesh.AddFace([n2, 
 n3, n9 , n8 ])</p>

<p class="whs9">f3 = mesh.AddFace([n3, 
 n4, n10, n9 ])</p>

<p class="whs9">f4 = mesh.AddFace([n4, 
 n5, n11, n10])</p>

<p class="whs9">f5 = mesh.AddFace([n5, 
 n6, n12, n11]) </p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># Change the orientation 
 of the second and the fourth faces.</p>

<p class="whs9">mesh.Reorient([2, 
 4])</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">salome.sg.updateObjBrowser(1) 
 </p>

<p class="whs9">&nbsp;</p>

<h3><a name=bookmark7>Cutting Quadrangles</a></h3>

<p class="whs9">import SMESH_mechanic</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">smesh = SMESH_mechanic.smesh</p>

<p class="whs9">mesh &nbsp;= 
 SMESH_mechanic.mesh</p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># cut two quadrangles: 
 405 and 406</p>

<p class="whs9">mesh.QuadToTri([405, 
 406], smesh.FT_MinimumAngle) &nbsp;</p>

<p class="whs10">&nbsp;</p>

<h3><a name=bookmark8>Smoothing</a></h3>

<p class="whs9">import salome</p>

<p class="whs9">import geompy</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">import SMESH_mechanic</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"><span style="font-family: 'Lucida Console', monospace;">smesh 
 = SMESH_mechanic.smesh</span></p>

<p class="whs9">mesh = SMESH_mechanic.mesh</p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># select the top face</p>

<p class="whs9"><span style="font-family: 'Lucida Console', monospace;">faces 
 = geompy.SubShapeAllSorted(SMESH_mechanic.shape_mesh, geompy.ShapeType[&quot;FACE&quot;])</span></p>

<p class="whs9">face = faces[3]</p>

<p class="whs9">geompy.addToStudyInFather(SMESH_mechanic.shape_mesh, 
 face, &quot;face planar with hole&quot;)</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"># create a group of 
 faces to be smoothed</p>

<p class="whs9">GroupSmooth = mesh.GroupOnGeom(face, 
 &quot;Group of faces (smooth)&quot;, smesh.FACE)</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"># perform smoothing</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"># boolean SmoothObject(Object, 
 IDsOfFixedNodes, MaxNbOfIterations, MaxAspectRatio, Method)</p>

<p class="whs9">res = mesh.SmoothObject(GroupSmooth, 
 [], 20, 2., smesh.CENTROIDAL_SMOOTH)</p>

<p class="whs9">print &quot;\nSmoothing 
 ... &quot;,</p>

<p class="whs9">if not res: print 
 &quot;failed!&quot;</p>

<p class="whs9">else: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;print 
 &quot;done.&quot;</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">salome.sg.updateObjBrowser(1) 
 </p>

<p class="whs9">&nbsp;</p>

<h3><a name=bookmark9>Extrusion</a></h3>

<p class="whs9">import salome</p>

<p class="whs9">import geompy</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">import SMESH_mechanic</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"><span style="font-family: 'Lucida Console', monospace;">smesh 
 = SMESH_mechanic.smesh</span></p>

<p class="whs9">mesh = SMESH_mechanic.mesh 
 </p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># select the top face</p>

<p class="whs9">faces = geompy.SubShapeAllSorted(SMESH_mechanic.shape_mesh, 
 geompy.ShapeType[&quot;FACE&quot;])</p>

<p class="whs9">face = faces[7]</p>

<p class="whs9">geompy.addToStudyInFather(SMESH_mechanic.shape_mesh, 
 face, &quot;face circular top&quot;)</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"># create a vector 
 for extrusion</p>

<p class="whs9">point = smesh.PointStruct(0., 
 0., 5.)</p>

<p class="whs9">vector = smesh.DirStruct(point)</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"># create a group to 
 be extruded</p>

<p class="whs9">GroupTri = mesh.GroupOnGeom(face, 
 &quot;Group of faces (extrusion)&quot;, smesh.FACE)</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"># perform extrusion 
 of the group</p>

<p class="whs9">mesh.ExtrusionSweepObject(GroupTri, 
 vector, 5)</p>

<p class="whs9">&nbsp;</p>

<p class="whs10"><span style="font-family: 'Lucida Console', monospace;">salome.sg.updateObjBrowser(1)</span> 
 </p>

<h3><a name=bookmark10>Extrusion along a Path</a></h3>

<p class="whs9">import math</p>

<p class="whs9">import salome</p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># Geometry</p>

<p class="whs9">import geompy</p>

<p class="whs10">&nbsp;</p>

<p class="whs10"># 1. Create points</p>

<p class="whs9">points = [[0, 0], 
 [50, 30], [50, 110], [0, 150], [-80, 150], [-130, 70], [-130, -20]]</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">iv = 1</p>

<p class="whs9">vertices = []</p>

<p class="whs9">for point in points:</p>

<p class="whs11">vert 
 = geompy.MakeVertex(point[0], point[1], 0)</p>

<p class="whs11">geompy.addToStudy(vert, 
 &quot;Vertex_&quot; + `iv`)</p>

<p class="whs11">vertices.append(vert)</p>

<p class="whs11">iv 
 += 1</p>

<p class="whs11">pass</p>

<p class="whs10">&nbsp;</p>

<p class="whs10"># 2. Create edges and 
 wires</p>

<p class="whs9">Edge_straight = geompy.MakeEdge(vertices[0], 
 vertices[4])</p>

<p class="whs9">Edge_bezierrr = geompy.MakeBezier(vertices)</p>

<p class="whs9">Wire_polyline = geompy.MakePolyline(vertices)</p>

<p class="whs9">Edge_Circle &nbsp;&nbsp;= 
 geompy.MakeCircleThreePnt(vertices[0], vertices[1], vertices[2])</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">geompy.addToStudy(Edge_straight, 
 &quot;Edge_straight&quot;)</p>

<p class="whs9">geompy.addToStudy(Edge_bezierrr, 
 &quot;Edge_bezierrr&quot;)</p>

<p class="whs9">geompy.addToStudy(Wire_polyline, 
 &quot;Wire_polyline&quot;)</p>

<p class="whs9">geompy.addToStudy(Edge_Circle 
 &nbsp;, &quot;Edge_Circle&quot;)</p>

<p class="whs10">&nbsp;</p>

<p class="whs10"># 3. Explode wire on 
 edges, as they will be used for mesh extrusion</p>

<p class="whs9">Wire_polyline_edges 
 = geompy.SubShapeAll(Wire_polyline, geompy.ShapeType[&quot;EDGE&quot;])</p>

<p class="whs9">for ii in range(len(Wire_polyline_edges)):</p>

<p class="whs11">geompy.addToStudyInFather(Wire_polyline, 
 Wire_polyline_edges[ii], &quot;Edge_&quot; + `ii + 1`)</p>

<p class="whs11">pass</p>

<p class="whs12">&nbsp;</p>

<p class="whs10"># Mesh</p>

<p class="whs9">import smesh</p>

<p class="whs9">&nbsp;</p>

<p class="whs13"># Mesh 
 the given shape with the given 1d hypothesis</p>

<p class="whs14">def 
 Mesh1D(shape1d, nbSeg, name):</p>

<p class="whs14">&nbsp;&nbsp;mesh1d_tool 
 = smesh.Mesh(shape1d, name)</p>

<p class="whs14">&nbsp;&nbsp;algo 
 = mesh1d_tool.Segment()</p>

<p class="whs14">&nbsp;&nbsp;hyp 
 &nbsp;= algo.NumberOfSegments(nbSeg)</p>

<p class="whs14">&nbsp;&nbsp;isDone 
 = mesh1d_tool.Compute()</p>

<p class="whs14">&nbsp;&nbsp;if 
 not isDone: print 'Mesh ', name, ': computation failed'</p>

<p class="whs14">&nbsp;&nbsp;return 
 mesh1d_tool</p>

<p class="whs13"># Create 
 a mesh with six nodes, seven edges and two quadrangle faces</p>

<p class="whs14">def 
 MakeQuadMesh2(mesh_name):</p>

<p class="whs14">&nbsp;&nbsp;quad_1 
 = smesh.Mesh(name = mesh_name)</p>

<p class="whs14">&nbsp;&nbsp;</p>

<p class="whs14">&nbsp;&nbsp;<span 
 style="font-family: 'Times New Roman', serif;"># 
 six nodes</span></p>

<p class="whs14">&nbsp;&nbsp;n1 
 = quad_1.AddNode(0, 20, 10)</p>

<p class="whs14">&nbsp;&nbsp;n2 
 = quad_1.AddNode(0, 40, 10)</p>

<p class="whs14">&nbsp;&nbsp;n3 
 = quad_1.AddNode(0, 40, 30)</p>

<p class="whs14">&nbsp;&nbsp;n4 
 = quad_1.AddNode(0, 20, 30)</p>

<p class="whs14">&nbsp;&nbsp;n5 
 = quad_1.AddNode(0, &nbsp;0, 
 30)</p>

<p class="whs14">&nbsp;&nbsp;n6 
 = quad_1.AddNode(0, &nbsp;0, 
 10)</p>

<p class="whs14">&nbsp;&nbsp;</p>

<p class="whs14">&nbsp;&nbsp;<span 
 style="font-family: 'Times New Roman', serif;"># 
 seven edges</span></p>

<p class="whs14">&nbsp;&nbsp;quad_1.AddEdge([n1, 
 n2]) # 1</p>

<p class="whs14">&nbsp;&nbsp;quad_1.AddEdge([n2, 
 n3]) # 2</p>

<p class="whs14">&nbsp;&nbsp;quad_1.AddEdge([n3, 
 n4]) # 3</p>

<p class="whs14">&nbsp;&nbsp;quad_1.AddEdge([n4, 
 n1]) # 4</p>

<p class="whs14">&nbsp;&nbsp;quad_1.AddEdge([n4, 
 n5]) # 5</p>

<p class="whs14">&nbsp;&nbsp;quad_1.AddEdge([n5, 
 n6]) # 6</p>

<p class="whs14">&nbsp;&nbsp;quad_1.AddEdge([n6, 
 n1]) # 7</p>

<p class="whs14">&nbsp;</p>

<p class="whs14">&nbsp;&nbsp;<span 
 style="font-family: 'Times New Roman', serif;"># 
 two quadrangle faces</span></p>

<p class="whs14">&nbsp;&nbsp;quad_1.AddFace([n1, 
 n2, n3, n4]) # 8</p>

<p class="whs14">&nbsp;&nbsp;quad_1.AddFace([n1, 
 n4, n5, n6]) # 9</p>

<p class="whs14">&nbsp;&nbsp;return 
 [quad_1, [1,2,3,4,5,6,7], [8,9]]</p>

<p class="whs14">&nbsp;</p>

<p class="whs13"># Path 
 meshes</p>

<p class="whs14">Edge_straight_mesh 
 = Mesh1D(Edge_straight, 7, &quot;Edge_straight&quot;)</p>

<p class="whs14">Edge_bezierrr_mesh 
 = Mesh1D(Edge_bezierrr, 7, &quot;Edge_bezierrr&quot;)</p>

<p class="whs14">Wire_polyline_mesh 
 = Mesh1D(Wire_polyline, 3, &quot;Wire_polyline&quot;)</p>

<p class="whs14">Edge_Circle_mesh 
 &nbsp;&nbsp;= 
 Mesh1D(Edge_Circle &nbsp;, 
 8, &quot;Edge_Circle&quot;)</p>

<p class="whs14">&nbsp;</p>

<p class="whs13"># Initial 
 meshes (to be extruded)</p>

<p class="whs14">[quad_1, 
 ee_1, ff_1] = MakeQuadMesh2(&quot;quad_1&quot;)</p>

<p class="whs14">[quad_2, 
 ee_2, ff_2] = MakeQuadMesh2(&quot;quad_2&quot;)</p>

<p class="whs14">[quad_3, 
 ee_3, ff_3] = MakeQuadMesh2(&quot;quad_3&quot;)</p>

<p class="whs14">[quad_4, 
 ee_4, ff_4] = MakeQuadMesh2(&quot;quad_4&quot;)</p>

<p class="whs14">[quad_5, 
 ee_5, ff_5] = MakeQuadMesh2(&quot;quad_5&quot;)</p>

<p class="whs14">[quad_6, 
 ee_6, ff_6] = MakeQuadMesh2(&quot;quad_6&quot;)</p>

<p class="whs14">[quad_7, 
 ee_7, ff_7] = MakeQuadMesh2(&quot;quad_7&quot;)</p>

<p class="whs14">&nbsp;</p>

<p class="whs13"># ExtrusionAlongPath</p>

<p class="whs13"># IDsOfElements, 
 PathMesh, PathShape, NodeStart,</p>

<p class="whs13"># HasAngles, 
 Angles, HasRefPoint, RefPoint</p>

<p class="whs14">refPoint 
 = smesh.PointStruct(0, 0, 0)</p>

<p class="whs14">a10 
 = 10.0*math.pi/180.0</p>

<p class="whs14">a45 
 = 45.0*math.pi/180.0</p>

<p class="whs14">&nbsp;</p>

<p class="whs13"># 1. 
 Extrusion of two mesh edges along a straight path</p>

<p class="whs14">error 
 = quad_1.ExtrusionAlongPath([1,2], Edge_straight_mesh, Edge_straight, 
 1,</p>

<p class="whs14">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0, 
 [], 0, refPoint)</p>

<p class="whs14">&nbsp;</p>

<p class="whs13"># 2. 
 Extrusion of one mesh edge along a curved path</p>

<p class="whs14">error 
 = quad_2.ExtrusionAlongPath([2], Edge_bezierrr_mesh, Edge_bezierrr, 1,</p>

<p class="whs14">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0, 
 [], 0, refPoint)</p>

<p class="whs14">&nbsp;</p>

<p class="whs13"># 3. 
 Extrusion of one mesh edge along a curved path with usage of angles</p>

<p class="whs14">error 
 = quad_3.ExtrusionAlongPath([2], Edge_bezierrr_mesh, Edge_bezierrr, 1,</p>

<p class="whs14">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1, 
 [a45, a45, a45, 0, -a45, -a45, -a45], 0, refPoint)</p>

<p class="whs14">&nbsp;</p>

<p class="whs13"># 4. 
 Extrusion of one mesh edge along the path, which is a part of a meshed 
 wire</p>

<p class="whs14">error 
 = quad_4.ExtrusionAlongPath([4], Wire_polyline_mesh, Wire_polyline_edges[0], 
 1,</p>

<p class="whs14">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1, 
 [a10, a10, a10], 0, refPoint)</p>

<p class="whs14">&nbsp;</p>

<p class="whs13"># 5. 
 Extrusion of two mesh faces along the path, which is a part of a meshed 
 wire</p>

<p class="whs14">error 
 = quad_5.ExtrusionAlongPath(ff_5 , Wire_polyline_mesh, Wire_polyline_edges[2], 
 4,</p>

<p class="whs14">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0, 
 [], 0, refPoint)</p>

<p class="whs14">&nbsp;</p>

<p class="whs13"># 6. 
 Extrusion of two mesh faces along a closed path</p>

<p class="whs14">error 
 = quad_6.ExtrusionAlongPath(ff_6 , Edge_Circle_mesh, Edge_Circle, 1,</p>

<p class="whs14">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0, 
 [], 0, refPoint)</p>

<p class="whs14">&nbsp;</p>

<p class="whs13"># 7. 
 Extrusion of two mesh faces along a closed path with usage of angles</p>

<p class="whs14">error 
 = quad_7.ExtrusionAlongPath(ff_7, Edge_Circle_mesh, Edge_Circle, 1,</p>

<p class="whs14">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1, 
 [a45, -a45, a45, -a45, a45, -a45, a45, -a45], 0, refPoint)</p>

<p class="whs14">&nbsp;</p>

<p class="whs14">salome.sg.updateObjBrowser(1) 
 </p>

<h3><a name=bookmark11>Revolution</a></h3>

<p class="whs9">import math</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">import SMESH_mechanic</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"><span style="font-family: 'Lucida Console', monospace;">mesh 
 &nbsp;= SMESH_mechanic.mesh</span></p>

<p class="whs9">smesh = SMESH_mechanic.smesh</p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># create a group of faces 
 to be revolved</p>

<p class="whs9">FacesRotate = [492, 
 493, 502, 503]</p>

<p class="whs9">GroupRotate = mesh.CreateGroup(SMESH.FACE,&quot;Group 
 of faces (rotate)&quot;)</p>

<p class="whs9">GroupRotate.Add(FacesRotate)</p>

<p class="whs10">&nbsp;</p>

<p class="whs10"># define revolution angle 
 and axis</p>

<p class="whs9">angle45 = 45 * math.pi 
 / 180</p>

<p class="whs9">axisXYZ = SMESH.AxisStruct(-38.3128, 
 -73.3658, -23.321, -13.3402, -13.3265, 6.66632)</p>

<p class="whs9">&nbsp;</p>

<p class="whs10"># perform revolution 
 of an object</p>

<p class="whs9">mesh.RotationSweepObject(GroupRotate, 
 axisXYZ, angle45, 4, 1e-5) </p>

<p class="whs10">&nbsp;</p>

<h3><a name=bookmark13>Pattern Mapping</a></h3>

<p class="whs9">import geompy</p>

<p class="whs9">&nbsp;</p>

<p class="whs9">import smesh</p>

<p class="whs9">&nbsp;</p>

<p class="whs9"># define the geometry</p>

<p class="whs10">Box_1 = geompy.MakeBoxDXDYDZ(200., 
 200., 200.)</p>

<p class="whs10">geompy.addToStudy(Box_1, 
 &quot;Box_1&quot;)</p>

<p class="whs10">&nbsp;</p>

<p class="whs10">faces = geompy.SubShapeAll(Box_1, 
 geompy.ShapeType[&quot;FACE&quot;])</p>

<p class="whs10">Face_1 = faces[0]</p>

<p class="whs10">Face_2 = faces[1]</p>

<p class="whs10">&nbsp;</p>

<p class="whs10">geompy.addToStudyInFather(Box_1, 
 Face_1, &quot;Face_1&quot;)</p>

<p class="whs10">geompy.addToStudyInFather(Box_1, 
 Face_2, &quot;Face_2&quot;)</p>

<p class="whs10">&nbsp;</p>

<p class="whs9"># build a quadrangle 
 mesh 3x3 on Face_1</p>

<p class="whs10">Mesh_1 = smesh.Mesh(Face_1)</p>

<p class="whs10">algo1D = Mesh_1.Segment()</p>

<p class="whs10">algo1D.NumberOfSegments(3)</p>

<p class="whs10">Mesh_1.Quadrangle()</p>

<p class="whs10">&nbsp;</p>

<p class="whs10">isDone = Mesh_1.Compute()</p>

<p class="whs10">if not isDone: print 
 'Mesh Mesh_1 : computation failed'</p>

<p class="whs10">&nbsp;</p>

<p class="whs9"># build a triangle 
 mesh on Face_2</p>

<p class="whs10">Mesh_2 = smesh.Mesh(Face_2)</p>

<p class="whs10">&nbsp;</p>

<p class="whs10">algo1D = Mesh_2.Segment()</p>

<p class="whs10">algo1D.NumberOfSegments(1)</p>

<p class="whs10">algo2D = Mesh_2.Triangle()</p>

<p class="whs10">algo2D.MaxElementArea(240)</p>

<p class="whs10">&nbsp;</p>

<p class="whs10">isDone = Mesh_2.Compute()</p>

<p class="whs10">if not isDone: print 
 'Mesh Mesh_2 : computation failed'</p>

<p class="whs10">&nbsp;</p>

<p class="whs9"># create a pattern</p>

<p class="whs10">pattern = smesh.GetPattern()</p>

<p class="whs10">&nbsp;</p>

<p class="whs10">isDone = pattern.LoadFromFace(Mesh_2.GetMesh(), 
 Face_2, 0)</p>

<p class="whs10">if (isDone != 1): print 
 'LoadFromFace :', pattern.GetErrorCode()</p>

<p class="whs10">&nbsp;</p>

<p class="whs9"># apply the pattern 
 to a face of the first mesh</p>

<p class="whs10">pattern.ApplyToMeshFaces(Mesh_1.GetMesh(), 
 [17], 0, 0)</p>

<p class="whs10">&nbsp;</p>

<p class="whs10">isDone = pattern.MakeMesh(Mesh_1.GetMesh(), 
 0, 0)</p>

<p class="whs10">if (isDone != 1): print 
 'MakeMesh :', pattern.GetErrorCode() &nbsp;</p>

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