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# $Id:$ |
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""" |
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Geometrical Primitives |
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the concept is inspired by gmsh and very much focused on the fact that |
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the classes are used to wrk with gmsh. |
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@var __author__: name of author |
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@var __copyright__: copyrights |
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@var __license__: licence agreement |
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@var __url__: url entry point on documentation |
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@var __version__: version |
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@var __date__: date of the version |
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""" |
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__author__="Lutz Gross, l.gross@uq.edu.au" |
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__copyright__=""" Copyright (c) 2006 by ACcESS MNRF |
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http://www.access.edu.au |
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Primary Business: Queensland, Australia""" |
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__license__="""Licensed under the Open Software License version 3.0 |
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http://www.opensource.org/licenses/osl-3.0.php""" |
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__url__="http://www.iservo.edu.au/esys/escript" |
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__version__="$Revision:$" |
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__date__="$Date:$" |
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import numarray |
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global global_primitive_id_counter |
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global_primitive_id_counter=0 |
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class Primitive(object): |
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""" |
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template for elementary geometrical object |
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""" |
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def __init__(self): |
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""" |
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""" |
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global global_primitive_id_counter |
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self.__ID=global_primitive_id_counter |
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global_primitive_id_counter+=1 |
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def getID(self): |
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return self.__ID |
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def __repr__(self): |
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return "%s(%s)"%(self.__class__.__name__,self.getID()) |
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def __cmp__(self,other): |
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return cmp(self.getID(),other.getID()) |
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def getGmshCommand(self): |
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raise NotImplementedError("getGmshCommand is not implemented for this class %s."%self.__class__.__name__) |
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def isPoint(self): |
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return False |
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def isCurve(self): |
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return False |
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def isSurface(self): |
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return False |
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def isCurveLoop(self): |
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return False |
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def isSurfaceLoop(self): |
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return False |
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def __neg__(self): |
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return ReversedPrimitive(self) |
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class ReversedPrimitive(object): |
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def __init__(self,prim): |
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self.__prim=prim |
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def __getattr__(self,name): |
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if name == "getID": |
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return self.getReverseID |
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else: |
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return getattr(self.__prim,name) |
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def getReverseID(self): |
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return -self.__prim.getID() |
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class Point(Primitive): |
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""" |
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a three dimensional point |
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""" |
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def __init__(self,x=0.,y=0.,z=0.,local_scale=1.): |
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""" |
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creates a point with coorinates x,y,z with a relative refinement factor |
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""" |
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super(Point, self).__init__() |
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if not local_scale > 0.: |
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raise ValueError("local_scale needs to be positive.") |
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self._x=numarray.array([x,y,z],numarray.Float64) |
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self.setLocalScale(local_scale) |
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def setLocalScale(self,factor=1.): |
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self.__local_scale=factor |
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def isPoint(self): |
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return True |
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def getLocalScale(self): |
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return self.__local_scale |
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def getCoordinates(self): |
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return self._x |
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def __add__(self,other): |
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c=self.getCoordinates()+numarray.array(other,numarray.Float64) |
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return Point(x=c[0],y=c[1],z=c[2],local_scale=self.getLocalScale()) |
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def getGmshCommand(self): |
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c=self.getCoordinates() |
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return "Point(%s) = {%e , %e, %e , %e * scale};"%(self.getID(),c[0],c[1],c[2], self.getLocalScale()) |
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def getHistory(self): |
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return set([self]) |
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class Curve(Primitive): |
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""" |
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a curve |
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""" |
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def __init__(self,*args): |
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""" |
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defines a curve form a set of control points |
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""" |
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super(Curve, self).__init__() |
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l=len(args) |
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for i in range(l): |
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if not args[i].isPoint(): |
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raise TypeError("%s-th argument is not a Point object."%i) |
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self.__nodes=args |
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def __len__(self): |
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return len(self.__nodes) |
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def isCurve(self): |
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return True |
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def getHistory(self): |
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out=set([self]) |
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for i in self.getNodes(): out|=i.getHistory() |
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return out |
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def getStart(self): |
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""" |
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returns start point |
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""" |
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return self.__nodes[0] |
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def getEnd(self): |
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""" |
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returns end point |
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""" |
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return self.__nodes[-1] |
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def getNodes(self): |
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""" |
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returns a list of the nodes |
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""" |
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return self.__nodes |
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def __add__(self,other): |
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return Curve([p+other for p in self.getNodes()]) |
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def getGmshCommand(self): |
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out="" |
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for i in self.getNodes(): |
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if len(out)>0: |
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out+=", %s"%i.getID() |
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else: |
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out="%s"%i.getID() |
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return "Spline(%s) = {%s};"%(self.getID(),out) |
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class BezierCurve(Curve): |
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""" |
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a Bezier curve |
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""" |
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def __neg__(self): |
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""" |
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returns the line segment with swapped start and end points |
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""" |
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return BezierCurve(self.getNodes()[::-1]) |
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def __add__(self,other): |
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return BezierCurve([p+other for p in self.getNodes()]) |
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def getGmshCommand(self): |
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out="" |
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for i in self.getNodes(): |
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if len(out)>0: |
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out+=", %s"%i.getID() |
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else: |
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out="%s"%i.getID() |
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return "Bezier(%s) = {%s};"%(self.getID(),out) |
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class BSplineCurve(Curve): |
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""" |
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a BSpline curve. Control points may be repeated. |
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""" |
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def __neg__(self): |
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""" |
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returns the line segment with swapped start and end points |
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""" |
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return BSplineCurve(self.getNodes()[::-1]) |
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def __add__(self,other): |
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return BSplineCurve([p+other for p in self.getNodes()]) |
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def getGmshCommand(self): |
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out="" |
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for i in self.getNodes(): |
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if len(out)>0: |
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out+=", %s"%i.getID() |
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else: |
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out="%s"%i.getID() |
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return "BSpline(%s) = {%s};"%(self.getID(),out) |
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class Line(Curve): |
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""" |
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a line is defined by two L{Point}s |
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""" |
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def __init__(self,start,end): |
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""" |
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defines a curve form a set of control points |
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""" |
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super(Line, self).__init__(start,end) |
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def __neg__(self): |
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return ReversedPrimitive(self) |
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def __add__(self,other): |
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return Line(self.getEnd()+other,self.getStart()+other) |
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def getGmshCommand(self): |
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return "Line(%s) = {%s, %s};"%(self.getID(),self.getStart().getID(),self.getEnd().getID()) |
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class Arc(Curve): |
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""" |
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defines an arc |
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""" |
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def __init__(self,center,start,end): |
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""" |
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creates an arc by the start point, end point and center |
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""" |
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if center.isPoint(): |
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raise TypeError("center needs to be a Point object.") |
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super(Arc, self).__init__(start,end) |
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self.__center=center |
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def getCenter(self): |
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""" |
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returns center |
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""" |
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return self.__center |
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def __add__(self,other): |
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return Arc(self.getCenter()+other,self.getStart()+other,self.getEnd()+other) |
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def getHistory(self): |
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out=set([self]) |
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out|=self.getCenter().getHistory() |
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for i in self.getNodes(): out|=i.getHistory() |
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return out |
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def getGmshCommand(self): |
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return "Circle(%s) = {%s, %s, %s};"%(self.getID(),self.getStart().getID(),self.getCenter().getID(),self.getEnd().getID()) |
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class CurveLoop(Primitive): |
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""" |
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An oriented loop of curves. |
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The loop must be closed and the L{Curves}s should be oriented consistently. |
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""" |
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def __init__(self,*curves): |
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""" |
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creates a polygon from a list of line curves. The curves must form a closed loop. |
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""" |
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super(CurveLoop, self).__init__() |
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self.__curves=[] |
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self.addCurve(*curves) |
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def addCurve(self,*curves): |
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for i in range(len(curves)): |
256 |
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if not curves[i].isCurve(): |
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raise TypeError("%s-th argument is not a Curve object."%i) |
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self.__curves+=curves |
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|
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def isCurveLoop(self): |
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return True |
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def getCurves(self): |
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return self.__curves |
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def __add__(self,other): |
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return CurveLoop(*tuple([c+other for c in self.getCurves()[::-1]])) |
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def __len__(self): |
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return len(self.__curves) |
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def getHistory(self): |
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out=set([self]) |
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for i in self.getCurves(): out|=i.getHistory() |
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return out |
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def getGmshCommand(self): |
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out="" |
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for i in self.getCurves(): |
275 |
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if len(out)>0: |
276 |
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out+=", %s"%i.getID() |
277 |
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else: |
278 |
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out="%s"%i.getID() |
279 |
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return "Line Loop(%s) = {%s};"%(self.getID(),out) |
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|
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899 |
class Surface(Primitive): |
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""" |
283 |
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a surface |
284 |
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""" |
285 |
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def __init__(self,loop): |
286 |
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""" |
287 |
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creates a surface with boundary loop |
288 |
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289 |
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@param loop: L{CurveLoop} defining the boundary of the surface |
290 |
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""" |
291 |
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super(Surface, self).__init__() |
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if not loop.isCurveLoop(): |
293 |
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raise TypeError("argument loop needs to be a CurveLoop object.") |
294 |
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self.__loop=loop |
295 |
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899 |
def isSurface(self): |
296 |
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return True |
297 |
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def getBoundaryLoop(self): |
298 |
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return self.__loop |
299 |
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def __add__(self,other): |
300 |
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return Surface(self.getBoundaryLoop()+other) |
301 |
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def getHistory(self): |
302 |
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out=set([self]) | self.getBoundaryLoop().getHistory() |
303 |
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return out |
304 |
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def getGmshCommand(self): |
305 |
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return "Ruled Surface(%s) = {%s};"%(self.getID(),self.getBoundaryLoop().getID()) |
306 |
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|
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class PlaneSurface(Surface): |
308 |
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""" |
309 |
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a plane surface with holes |
310 |
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""" |
311 |
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def __init__(self,loop,holes=[]): |
312 |
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""" |
313 |
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creates a plane surface. |
314 |
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|
315 |
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@param loop: L{CurveLoop} defining the boundary of the surface |
316 |
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@param holes: list of L{CurveLoop} defining holes in the surface. |
317 |
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@note: A CurveLoop defining a hole should not have any lines in common with the exterior CurveLoop. |
318 |
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A CurveLoop defining a hole should not have any lines in common with another CurveLoop defining a hole in the same surface. |
319 |
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""" |
320 |
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super(PlaneSurface, self).__init__(loop) |
321 |
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for i in range(len(holes)): |
322 |
gross |
899 |
if not holes[i].inCurveLoop(): |
323 |
gross |
898 |
raise TypeError("%i th hole needs to be a CurveLoop object.") |
324 |
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self.__holes=holes |
325 |
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def getHoles(self): |
326 |
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return self.__holes |
327 |
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899 |
def __add__(self,other): |
328 |
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return PlaneSurface(self.getBoundaryLoop()+other, holes=[h+other for h in self.getHoles()]) |
329 |
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def getHistory(self): |
330 |
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out=set([self]) | self.getBoundaryLoop().getHistory() |
331 |
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for i in self.getHoles(): out|=i.getHistory() |
332 |
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return out |
333 |
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def getGmshCommand(self): |
334 |
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out="" |
335 |
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for i in self.getHoles(): |
336 |
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if len(out)>0: |
337 |
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out+=", %s"%i.getID() |
338 |
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else: |
339 |
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out="%s"%i.getID() |
340 |
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if len(out)>0: |
341 |
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return "Plane Surface(%s) = {%s, %s};"%(self.getID(),self.getBoundaryLoop().getID(), out) |
342 |
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else: |
343 |
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return "Plane Surface(%s) = {%s};"%(self.getID(),self.getBoundaryLoop().getID()) |
344 |
gross |
898 |
|
345 |
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class RuledSurface(Surface): |
346 |
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""" |
347 |
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A ruled surface, i.e., a surface that can be interpolated using transfinite interpolation |
348 |
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""" |
349 |
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def __init__(self,loop): |
350 |
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""" |
351 |
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creates a ruled surface from a |
352 |
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|
353 |
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@param loop: L{CurveLoop} defining the boundary of the surface. There is a restriction of composed of either three or four L{Curve} objects. |
354 |
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""" |
355 |
gross |
899 |
if not loop.isCurveLoop(): |
356 |
gross |
898 |
raise TypeError("argument loop needs to be a CurveLoop object.") |
357 |
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if len(loop)<3: |
358 |
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raise TypeError("the loop must contain at least three Curves.") |
359 |
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super(RuledSurface, self).__init__(loop) |
360 |
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def __add__(self,other): |
361 |
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return RuledSurface(self.getBoundaryLoop()+other) |
362 |
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def getGmshCommand(self): |
363 |
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return "Ruled Surface(%s) = {%s};"%(self.getID(),self.getBoundaryLoop().getID()) |
364 |
gross |
898 |
|
365 |
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899 |
class SurfaceLoop(Primitive): |
366 |
gross |
898 |
""" |
367 |
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a surface loop. It defines the shell of a volume. |
368 |
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|
369 |
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The loop must represent a closed shell, and the L{Surface}s should be oriented consistently. |
370 |
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""" |
371 |
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def __init__(self,*surfaces): |
372 |
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""" |
373 |
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creates a surface loop |
374 |
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""" |
375 |
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super(SurfaceLoop, self).__init__() |
376 |
gross |
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self.__surfaces=[] |
377 |
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self.addSurface(*surfaces) |
378 |
|
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def addSurface(self,*surfaces): |
379 |
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for i in range(len(surfaces)): |
380 |
|
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if not surfaces[i].isSurface(): |
381 |
|
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raise TypeError("%s-th argument is not a Surface object."%i) |
382 |
|
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self.__surfaces+=surfaces |
383 |
gross |
898 |
|
384 |
gross |
899 |
def isSurfaceLoop(self): |
385 |
|
|
return True |
386 |
gross |
898 |
def getSurfaces(self): |
387 |
|
|
return self.__surfaces |
388 |
gross |
899 |
def __add__(self,other): |
389 |
|
|
return SurfaceLoop([c+other for c in self.getSurfaces]) |
390 |
gross |
898 |
def __len__(self): |
391 |
|
|
return len(self.__surfaces) |
392 |
gross |
899 |
def getHistory(self): |
393 |
|
|
out=set([self]) |
394 |
|
|
for i in self.getSurfaces(): out|=i.getHistory() |
395 |
|
|
return out |
396 |
|
|
def getGmshCommand(self): |
397 |
|
|
out="" |
398 |
|
|
for i in self.getSurfaces(): |
399 |
|
|
if len(out)>0: |
400 |
|
|
out+=", %s"%i.getID() |
401 |
|
|
else: |
402 |
|
|
out="%s"%i.getID() |
403 |
|
|
return "Surface Loop(%s) = {%s};"%(self.getID(),out) |
404 |
gross |
898 |
|
405 |
gross |
899 |
class Volume(Primitive): |
406 |
gross |
898 |
""" |
407 |
|
|
a volume with holes. |
408 |
|
|
""" |
409 |
|
|
def __init__(self,loop,holes=[]): |
410 |
|
|
""" |
411 |
|
|
creates a volume |
412 |
|
|
|
413 |
|
|
@param loop: L{SurfaceLoop} defining the boundary of the surface |
414 |
|
|
@param holes: list of L{SurfaceLoop} defining holes in the surface. |
415 |
|
|
@note: A SurfaceLoop defining a hole should not have any surfaces in common with the exterior SurfaceLoop. |
416 |
|
|
A SurfaceLoop defining a hole should not have any surfaces in common with another SurfaceLoop defining a hole in the same volume. |
417 |
|
|
""" |
418 |
|
|
super(Volume, self).__init__() |
419 |
gross |
899 |
if not loop.isSurfaceLoop(): |
420 |
gross |
898 |
raise TypeError("argument loop needs to be a SurfaceLoop object.") |
421 |
|
|
for i in range(len(holes)): |
422 |
gross |
899 |
if not holes[i].isSurfaceLoop(): |
423 |
gross |
898 |
raise TypeError("%i th hole needs to be a SurfaceLoop object.") |
424 |
|
|
self.__loop=loop |
425 |
|
|
self.__holes=holes |
426 |
|
|
def getHoles(self): |
427 |
|
|
return self.__holes |
428 |
|
|
def getSurfaceLoop(self): |
429 |
|
|
return self.__loop |
430 |
gross |
899 |
def __add__(self,other): |
431 |
|
|
return Volume(self.getSurfaceLoop()+other, holes=[h+other for h in self.getHoles()]) |
432 |
|
|
def getHistory(self): |
433 |
|
|
out=set([self]) | self.getSurfaceLoop().getHistory() |
434 |
|
|
for i in self.getHoles(): out|=i.getHistory() |
435 |
|
|
return out |
436 |
|
|
def getGmshCommand(self): |
437 |
|
|
out="" |
438 |
|
|
for i in self.getHoles(): |
439 |
|
|
if len(out)>0: |
440 |
|
|
out+=", %s"%i.getID() |
441 |
|
|
else: |
442 |
|
|
out="%s"%i.getID() |
443 |
|
|
if len(out)>0: |
444 |
|
|
return "Volume(%s) = {%s, %s};"%(self.getID(),self.getSurfaceLoop().getID(), out) |
445 |
|
|
else: |
446 |
|
|
return "Volume(%s) = {%s};"%(self.getID(),self.getSurfaceLoop().getID()) |
447 |
gross |
898 |
|
448 |
gross |
899 |
class PropertySet(Primitive): |
449 |
gross |
898 |
""" |
450 |
gross |
899 |
defines a group L{Primitive} objects. |
451 |
gross |
898 |
""" |
452 |
|
|
def __init__(self,tag=None,*items): |
453 |
|
|
super(PropertySet, self).__init__() |
454 |
|
|
self.__items=items |
455 |
|
|
self.__tag=tag |
456 |
gross |
899 |
def getHistory(self): |
457 |
|
|
out=set([self, self.getBoundaryLoop().getHistory()]) |
458 |
|
|
for i in self.getHoles(): out|=i.getHistory() |
459 |
|
|
return out |
460 |
|
|
|
461 |
|
|
class PrimitiveStack(object): |
462 |
|
|
def __init__(self,*items): |
463 |
|
|
self.__prims=set() |
464 |
|
|
for i in items: |
465 |
|
|
self.__prims|=i.getHistory() |
466 |
|
|
self.__prims=list(self.__prims) |
467 |
|
|
self.__prims.sort() |
468 |
|
|
|
469 |
|
|
def getGmshCommands(self): |
470 |
|
|
out="" |
471 |
|
|
for i in self.__prims: |
472 |
|
|
out+=i.getGmshCommand()+"\n" |
473 |
|
|
return out |
474 |
|
|
|
475 |
|
|
def getPycadCommands(self,name="TMP_"): |
476 |
|
|
out="" |
477 |
|
|
for i in self.__prims: |
478 |
|
|
out+=i.getPycadCommand(name)+"\n" |