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# $Id:$ |
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|
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""" |
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Geometrical Elementries |
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|
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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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|
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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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|
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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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|
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class Elementary(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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pass |
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|
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class Point(Elementary): |
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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(0.,local_scale) |
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def __str__(self): |
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return str(self._x) |
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def setLocalScale(self,factor=1.): |
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self.__local_scale=factor |
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|
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|
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class Curve(Elementary): |
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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 isinstance(args[i],Point): |
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raise TypeError("%s-th argument is not a Point object.") |
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super(Curve, self).__init__(args[0],args[l-1]) |
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self.__nodes=list(args) |
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def __len__(self): |
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return len(self.__nodes) |
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|
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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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|
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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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|
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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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|
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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 Curve(self.__nodes[::-1]) |
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|
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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.getNodesInReversedOrder()) |
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|
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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.getNodesInReversedOrder()) |
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|
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|
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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 __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 Line(self.getEnd(),self.getStart()) |
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|
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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 not isinstance(center,Point): |
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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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|
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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 __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 Arc(self.getCenter(),self.getEnd(),self.getStart()) |
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|
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class CurveLoop(Elementary): |
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""" |
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An oriented loop of curves. |
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|
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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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for i in curves: |
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if not isinstance(curves[i],Curve): |
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raise TypeError("%s-th argument is not a Curve object.") |
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if length(curves)>0: |
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for i in range(len(curves)-1): |
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if not curves[i].getEnd() == curves[i+1].getStart(): |
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raise ValueError("start point of %s-th curve does not match end point of %s-th curve."%(i,i+1)) |
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if curves[0].getStart() == curves[len(curves)-1].getEnd(): |
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raise ValueError("loop is not closed.") |
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self.__curves=curves |
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|
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def getCurves(self): |
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return self.__curves |
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|
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def __neg__(self): |
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return CurveLoop([-c for c in self.__curves[::-1]]) |
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|
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def __len__(self): |
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return len(self.__curves) |
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|
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class Surface(Elementary): |
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""" |
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a surface |
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""" |
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def __init__(self,loop): |
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""" |
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creates a surface with boundary loop |
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|
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@param loop: L{CurveLoop} defining the boundary of the surface |
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""" |
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super(Surface, self).__init__() |
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if not isinstance(loop,CurveLoop): |
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raise TypeError("argument loop needs to be a CurveLoop object.") |
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self.__loop=loop |
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def getBoundaryLoop(self): |
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return self.__loop |
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def __neg__(self): |
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return Surface(-self.getBoundaryLoop()) |
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|
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class PlaneSurface(Surface): |
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""" |
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a plane surface with holes |
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""" |
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def __init__(self,loop,holes=[]): |
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""" |
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creates a plane surface. |
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|
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@param loop: L{CurveLoop} defining the boundary of the surface |
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@param holes: list of L{CurveLoop} defining holes in the surface. |
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@note: A CurveLoop defining a hole should not have any lines in common with the exterior CurveLoop. |
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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. |
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""" |
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super(PlaneSurface, self).__init__(loop) |
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for i in range(len(holes)): |
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if not isinstance(holes[i],CurveLoop): |
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raise TypeError("%i th hole needs to be a CurveLoop object.") |
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self.__holes=holes |
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def getHoles(self): |
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return self.__holes |
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def __neg__(self): |
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return PlaneSurface(-self.getBoundaryLoop(),holes=[-h for h in self.getHoles()] ) |
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|
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class RuledSurface(Surface): |
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""" |
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A ruled surface, i.e., a surface that can be interpolated using transfinite interpolation |
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""" |
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def __init__(self,loop): |
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""" |
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creates a ruled surface from a |
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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. |
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""" |
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if not isinstance(loop,CurveLoop): |
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raise TypeError("argument loop needs to be a CurveLoop object.") |
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if len(loop)<3: |
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raise TypeError("the loop must contain at least three Curves.") |
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super(RuledSurface, self).__init__(loop) |
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def __neg__(self): |
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return RuledSurface(-self.getBoundaryLoop()) |
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|
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class SurfaceLoop(Elementary): |
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""" |
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a surface loop. It defines the shell of a volume. |
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|
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The loop must represent a closed shell, and the L{Surface}s should be oriented consistently. |
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""" |
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def __init__(self,*surfaces): |
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""" |
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creates a surface loop |
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""" |
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super(SurfaceLoop, self).__init__() |
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for i in surfaces: |
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if not isinstance(surfaces[i],Curve): |
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raise TypeError("%s-th argument is not a Curve object.") |
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self.__surfaces=surfaces |
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|
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def getSurfaces(self): |
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return self.__surfaces |
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|
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def __neg__(self): |
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return SurfaceLoop(-c for c in self.__surfaces[::-1]) |
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|
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def __len__(self): |
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return len(self.__surfaces) |
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|
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class Volume(Elementary): |
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""" |
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a volume with holes. |
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""" |
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def __init__(self,loop,holes=[]): |
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""" |
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creates a volume |
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|
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@param loop: L{SurfaceLoop} defining the boundary of the surface |
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@param holes: list of L{SurfaceLoop} defining holes in the surface. |
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@note: A SurfaceLoop defining a hole should not have any surfaces in common with the exterior SurfaceLoop. |
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A SurfaceLoop defining a hole should not have any surfaces in common with another SurfaceLoop defining a hole in the same volume. |
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""" |
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super(Volume, self).__init__() |
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if not isinstance(loop,SurfaceLoop): |
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raise TypeError("argument loop needs to be a SurfaceLoop object.") |
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for i in range(len(holes)): |
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if not isinstance(holes[i],SurfaceLoop): |
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raise TypeError("%i th hole needs to be a SurfaceLoop object.") |
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self.__loop=loop |
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self.__holes=holes |
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def getHoles(self): |
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return self.__holes |
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def getSurfaceLoop(self): |
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return self.__loop |
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def __neg__(self): |
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return PlaneSurface(-self.getSurfaceLoop(),holes=[-h for h in self.getHoles()] ) |
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|
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class PropertySet(Elementary): |
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""" |
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defines a group L{Elementary} objects. |
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""" |
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def __init__(self,tag=None,*items): |
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super(PropertySet, self).__init__() |
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self.__items=items |
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self.__tag=tag |
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