pycad/py_src/primitives.py

# $Id:$

"""
Geometrical Primitives

the concept is inspired by gmsh and very much focused on the fact that
the classes are used to wrk with gmsh.

@var __author__: name of author
@var __copyright__: copyrights
@var __license__: licence agreement
@var __url__: url entry point on documentation
@var __version__: version
@var __date__: date of the version
"""


__author__="Lutz Gross, l.gross@uq.edu.au"
__copyright__="""  Copyright (c) 2006 by ACcESS MNRF
                    http://www.access.edu.au
                Primary Business: Queensland, Australia"""
__license__="""Licensed under the Open Software License version 3.0
             http://www.opensource.org/licenses/osl-3.0.php"""
__url__="http://www.iservo.edu.au/esys/escript"
__version__="$Revision:$"
__date__="$Date:$"

import numarray

global global_primitive_id_counter
global_primitive_id_counter=0

class Primitive(object):
    """
    template for elementary geometrical object
    """
    def __init__(self): 
       """
       """ 
       global global_primitive_id_counter
       self.__ID=global_primitive_id_counter
       global_primitive_id_counter+=1
    def getID(self):
       return self.__ID
    def __repr__(self):
       return "%s(%s)"%(self.__class__.__name__,self.getID())
    def __cmp__(self,other):
       return cmp(self.getID(),other.getID())
    def isPoint(self):
        return False
    def isCurve(self):
        return False
    def isSurface(self):
        return False
    def isCurveLoop(self):
        return False
    def isSurfaceLoop(self):
        return False
    def __neg__(self):
        return ReversedPrimitive(self)
    def __pos__(self):
        return self.copy()
    def __add__(self,other):
       out=self.copy()
       out+=other
       return out
    def __iadd__(self,other):
       self.shift()
    def setLocalLength(self,factor=1.):
        for p in self.getPoints(): p.setLocalLength(factor)
    def shift(self,shift):
        for p in self.getPoints(): p+=shift
    def copy(self):
        return Primitive()
    def getGmshCommand(self):
        raise NotImplementedError("getGmshCommand is not implemented for this class %s."%self.__class__.__name__)
    def getHistory(self):
        return set()
    def getPoints(self):
        return set()
    def translate(self,shift):
        raise NotImplementedError("translate is not implemented for this class %s."%self.__class__.__name__)

class ReversedPrimitive(object):
    def __init__(self,prim):
       self.__prim=prim
    def __getattr__(self,name):
       if name == "getID":
          return self.getReverseID
       else:
          return getattr(self.__prim,name)
    def getReverseID(self):
        return -self.__prim.getID()

class Point(Primitive):
    """
    a three dimensional point
    """
    def __init__(self,x=0.,y=0.,z=0.,local_scale=1.): 
       """
       creates a point with coorinates x,y,z with a relative refinement factor 
       """ 
       super(Point, self).__init__()
       if not local_scale > 0.:
           raise ValueError("local_scale needs to be positive.")
       self._x=numarray.array([x,y,z],numarray.Float64)
       self.setLocalScale(local_scale)
    def setLocalScale(self,factor=1.):
       """
       sets the local relative length scale
       """
       self.__local_scale=factor
    def getLocalScale(self):
       return self.__local_scale
    def copy(self):
       c=self.getCoordinates()
       return Point(c[0],c[1],c[2],local_scale=self.getLocalScale())
    def isPoint(self):
        return True
    def getCoordinates(self):
       return self._x
    def getGmshCommand(self):
        c=self.getCoordinates()
        return "Point(%s) = {%e , %e, %e , %e * scale};"%(self.getID(),c[0],c[1],c[2], self.getLocalScale())
    def getHistory(self):
        return set([self])
    def getPoints(self):
        return set([self])
    def shift(self,shift): 
       """
       shifts the point by a given shift
       """
       self._x+=numarray.array(shift,numarray.Float64)
    def translate(self,shift):
       """
       returns the point shifted by shift
       """
       out=self.copy()
       out+=other
       return out


class Curve(Primitive):
      """
      a curve
      """
      def __init__(self,*args):
          """
          defines a curve form a set of control points
          """
          super(Curve, self).__init__()
          l=len(args)
          for i in range(l):
              if not args[i].isPoint():
                 raise TypeError("%s-th argument is not a Point object."%i)
          self.__nodes=args
      def __len__(self):
          return len(self.__nodes)
      def isCurve(self):
        return True
      def getStart(self):
         """
         returns start point
         """
         return self.__nodes[0]

      def getEnd(self):
         """
         returns end point
         """
         return self.__nodes[-1]

      def getNodes(self):
         """
         returns a list of the nodes
         """
         return self.__nodes
      def getGmshCommand(self):
        out=""
        for i in self.getNodes():
            if len(out)>0: 
                out+=", %s"%i.getID()
            else:
                out="%s"%i.getID()
        return "Spline(%s) = {%s};"%(self.getID(),out)
      def getHistory(self):
          out=set([self])
          for i in self.getNodes(): out|=i.getHistory()
          return out
      def getPoints(self):
        out=set()
        for i in self.getNodes(): out|=i.getPoints()
        return out


class BezierCurve(Curve):
    """
    a Bezier curve
    """
    def __neg__(self):
         """
         returns the line segment with swapped start and end points
         """
         return BezierCurve(self.getNodes()[::-1])
    def __add__(self,other):
         return BezierCurve([p+other for p in self.getNodes()])
    def getGmshCommand(self):
        out=""
        for i in self.getNodes():
            if len(out)>0: 
                out+=", %s"%i.getID()
            else:
                out="%s"%i.getID()
        return "Bezier(%s) = {%s};"%(self.getID(),out)

class BSplineCurve(Curve):
    """
    a BSpline curve. Control points may be repeated.
    """
    def __neg__(self):
         """
         returns the line segment with swapped start and end points
         """
         return BSplineCurve(self.getNodes()[::-1])
    def __add__(self,other):
         return BSplineCurve([p+other for p in self.getNodes()])
    def getGmshCommand(self):
        out=""
        for i in self.getNodes():
            if len(out)>0: 
                out+=", %s"%i.getID()
            else:
                out="%s"%i.getID()
        return "BSpline(%s) = {%s};"%(self.getID(),out)

class Line(Curve):
    """
    a line is defined by two L{Point}s
    """
    def __init__(self,start,end):
        """
        defines a curve form a set of control points
        """
        super(Line, self).__init__(start,end)
    def __neg__(self):
       return ReversedPrimitive(self)
    def __add__(self,other):
       return Line(self.getEnd()+other,self.getStart()+other)
    def getGmshCommand(self):
        return "Line(%s) = {%s, %s};"%(self.getID(),self.getStart().getID(),self.getEnd().getID())

class Arc(Curve):
    """
    defines an arc
    """
    def __init__(self,center,start,end):
       """
       creates an arc by the start point, end point and center
       """
       if center.isPoint():
           raise TypeError("center needs to be a Point object.")
       super(Arc, self).__init__(start,end)
       self.__center=center

    def getCenter(self):
       """
       returns center
       """
       return self.__center
    def __add__(self,other):
       return Arc(self.getCenter()+other,self.getStart()+other,self.getEnd()+other)

    def getHistory(self):
          out=set([self])
          out|=self.getCenter().getHistory()
          for i in self.getNodes(): out|=i.getHistory()
          return out
    def getPoints(self):
          out=self.getCenter().getPoints()
          for i in self.getNodes(): out|=i.getPoints()
          return out
    def getGmshCommand(self):
        return "Circle(%s) = {%s, %s, %s};"%(self.getID(),self.getStart().getID(),self.getCenter().getID(),self.getEnd().getID())

class CurveLoop(Primitive):
    """
    An oriented loop of curves. 

    The loop must be closed and the L{Curves}s should be oriented consistently.
    """
    def __init__(self,*curves):
       """
       creates a polygon from a list of line curves. The curves must form a closed loop.
       """
       super(CurveLoop, self).__init__()
       self.__curves=[]
       self.addCurve(*curves)
    def addCurve(self,*curves):
       for i in range(len(curves)):
           if not curves[i].isCurve():
              raise TypeError("%s-th argument is not a Curve object."%i)
       self.__curves+=curves

    def isCurveLoop(self):
        return True
    def getCurves(self):
       return self.__curves
    def __add__(self,other):
       return CurveLoop(*tuple([c+other for c in self.getCurves()[::-1]]))
    def __len__(self):
       return len(self.__curves)
    def getHistory(self):
          out=set([self])
          for i in self.getCurves(): out|=i.getHistory()
          return out
    def getPoints(self):
          out=set()
          for i in self.getCurves(): out|=i.getPoints()
          return out
    def getGmshCommand(self):
        out=""
        for i in self.getCurves():
            if len(out)>0: 
                out+=", %s"%i.getID()
            else:
                out="%s"%i.getID()
        return "Line Loop(%s) = {%s};"%(self.getID(),out)

class Surface(Primitive):
    """
    a surface
    """
    def __init__(self,loop):
       """
       creates a  surface with boundary loop

       @param loop: L{CurveLoop} defining the boundary of the surface
       """
       super(Surface, self).__init__()
       if not loop.isCurveLoop():
           raise TypeError("argument loop needs to be a CurveLoop object.")
       self.__loop=loop
    def isSurface(self):
        return True
    def getBoundaryLoop(self):
       return self.__loop
    def __add__(self,other):
       return Surface(self.getBoundaryLoop()+other)
    def getHistory(self):
        out=set([self]) | self.getBoundaryLoop().getHistory()
        return out
    def getPoints(self):
        return self.getBoundaryLoop().getPoints()
    def getGmshCommand(self):
        return "Ruled Surface(%s) = {%s};"%(self.getID(),self.getBoundaryLoop().getID())

class PlaneSurface(Surface):
    """
    a plane surface with holes
    """
    def __init__(self,loop,holes=[]):
       """
       creates a  plane surface. 

       @param loop: L{CurveLoop} defining the boundary of the surface
       @param holes: list of L{CurveLoop} defining holes in the surface. 
       @note: A CurveLoop defining a hole should not have any lines in common with the exterior CurveLoop.  
              A CurveLoop defining a hole should not have any lines in common with another CurveLoop defining a hole in the same surface.
       """
       super(PlaneSurface, self).__init__(loop)
       for i in range(len(holes)):
            if not holes[i].inCurveLoop():
                 raise TypeError("%i th hole needs to be a CurveLoop object.")
       self.__holes=holes
    def getHoles(self):
       return self.__holes
    def __add__(self,other):
       return PlaneSurface(self.getBoundaryLoop()+other, holes=[h+other for h in self.getHoles()])
    def getHistory(self):
        out=set([self]) | self.getBoundaryLoop().getHistory()
        for i in self.getHoles(): out|=i.getHistory()
        return out
    def getPoints(self):
        out=self.getBoundaryLoop().getPoints()
        for i in self.getHoles(): out|=i.getPoints()
        return out
    def getGmshCommand(self):
        out=""
        for i in self.getHoles():
            if len(out)>0: 
                out+=", %s"%i.getID()
            else:
                out="%s"%i.getID()
        if len(out)>0:
          return "Plane Surface(%s) = {%s, %s};"%(self.getID(),self.getBoundaryLoop().getID(), out)
        else:
          return "Plane Surface(%s) = {%s};"%(self.getID(),self.getBoundaryLoop().getID())

class RuledSurface(Surface):
    """
   A ruled surface, i.e., a surface that can be interpolated using transfinite interpolation
    """
    def __init__(self,loop):
       """
       creates a ruled surface from a 

       @param loop: L{CurveLoop} defining the boundary of the surface. There is a restriction of composed of either three or four L{Curve} objects.
       """
       if not loop.isCurveLoop():
           raise TypeError("argument loop needs to be a CurveLoop object.")
       if len(loop)<3:
           raise TypeError("the loop must contain at least three Curves.")
       super(RuledSurface, self).__init__(loop)
    def __add__(self,other):
       return RuledSurface(self.getBoundaryLoop()+other)
    def getGmshCommand(self):
        return "Ruled Surface(%s) = {%s};"%(self.getID(),self.getBoundaryLoop().getID())

class SurfaceLoop(Primitive):
    """
    a surface loop. It defines the shell of a volume. 

    The loop must represent a closed shell, and the L{Surface}s should be oriented consistently.
    """
    def __init__(self,*surfaces):
       """
       creates a surface loop
       """
       super(SurfaceLoop, self).__init__()
       self.__surfaces=[]
       self.addSurface(*surfaces)
    def addSurface(self,*surfaces):
       for i in range(len(surfaces)):
           if not surfaces[i].isSurface():
              raise TypeError("%s-th argument is not a Surface object."%i)
       self.__surfaces+=surfaces

    def isSurfaceLoop(self):
        return True
    def getSurfaces(self):
       return self.__surfaces
    def __add__(self,other):
       return SurfaceLoop([c+other for c in self.getSurfaces])
    def __len__(self):
       return len(self.__surfaces)
    def getHistory(self):
          out=set([self])
          for i in self.getSurfaces(): out|=i.getHistory()
          return out
    def getPoints(self):
          out=set()
          for i in self.getSurfaces(): out|=i.getPoints()
          return out
    def getGmshCommand(self):
        out=""
        for i in self.getSurfaces():
            if len(out)>0: 
                out+=", %s"%i.getID()
            else:
                out="%s"%i.getID()
        return "Surface Loop(%s) = {%s};"%(self.getID(),out)

class Volume(Primitive):
    """
    a volume with holes.
    """
    def __init__(self,loop,holes=[]):
       """
       creates a volume

       @param loop: L{SurfaceLoop} defining the boundary of the surface
       @param holes: list of L{SurfaceLoop} defining holes in the surface. 
       @note: A SurfaceLoop defining a hole should not have any surfaces in common with the exterior SurfaceLoop.  
              A SurfaceLoop defining a hole should not have any surfaces in common with another SurfaceLoop defining a hole in the same volume.
       """
       super(Volume, self).__init__()
       if not loop.isSurfaceLoop():
           raise TypeError("argument loop needs to be a SurfaceLoop object.")
       for i in range(len(holes)):
            if not holes[i].isSurfaceLoop():
                 raise TypeError("%i th hole needs to be a SurfaceLoop object.")
       self.__loop=loop
       self.__holes=holes
    def getHoles(self):
       return self.__holes
    def getSurfaceLoop(self):
       return self.__loop
    def __add__(self,other):
       return Volume(self.getSurfaceLoop()+other, holes=[h+other for h in self.getHoles()])
    def getHistory(self):
        out=set([self]) | self.getSurfaceLoop().getHistory()
        for i in self.getHoles(): out|=i.getHistory()
        return out
    def getPoints(self):
        out=self.getSurfaceLoop().getPoints()
        for i in self.getHoles(): out|=i.Points()
        return out
    def getGmshCommand(self):
        out=""
        for i in self.getHoles():
            if len(out)>0: 
                out+=", %s"%i.getID()
            else:
                out="%s"%i.getID()
        if len(out)>0:
          return "Volume(%s) = {%s, %s};"%(self.getID(),self.getSurfaceLoop().getID(), out)
        else:
          return "Volume(%s) = {%s};"%(self.getID(),self.getSurfaceLoop().getID())

class PropertySet(Primitive):
    """
    defines a group L{Primitive} objects. 
    """
    def __init__(self,tag=None,*items):
       super(PropertySet, self).__init__()
       self.__items=items
       self.__tag=tag
    def getHistory(self):
        out=set([self, self.getBoundaryLoop().getHistory()])
        for i in self.getHoles(): out|=i.getHistory()
        return out

class PrimitiveStack(object):
      def __init__(self,*items):
        self.__prims=set()
        for i in items:
            self.__prims|=i.getHistory()
        self.__prims=list(self.__prims)
        self.__prims.sort()

      def getGmshCommands(self):
        out=""
        for i in self.__prims:
           out+=i.getGmshCommand()+"\n"
        return out
1	# $Id:$
2
3	"""
4	Geometrical Primitives
5
6	the concept is inspired by gmsh and very much focused on the fact that
7	the classes are used to wrk with gmsh.
8
9	@var __author__: name of author
10	@var __copyright__: copyrights
11	@var __license__: licence agreement
12	@var __url__: url entry point on documentation
13	@var __version__: version
14	@var __date__: date of the version
15	"""
16
17
18	__author__="Lutz Gross, l.gross@uq.edu.au"
19	__copyright__=""" Copyright (c) 2006 by ACcESS MNRF
20	http://www.access.edu.au
21	Primary Business: Queensland, Australia"""
22	__license__="""Licensed under the Open Software License version 3.0
23	http://www.opensource.org/licenses/osl-3.0.php"""
24	__url__="http://www.iservo.edu.au/esys/escript"
25	__version__="$Revision:$"
26	__date__="$Date:$"
27
28	import numarray
29
30	global global_primitive_id_counter
31	global_primitive_id_counter=0
32
33	class Primitive(object):
34	"""
35	template for elementary geometrical object
36	"""
37	def __init__(self):
38	"""
39	"""
40	global global_primitive_id_counter
41	self.__ID=global_primitive_id_counter
42	global_primitive_id_counter+=1
43	def getID(self):
44	return self.__ID
45	def __repr__(self):
46	return "%s(%s)"%(self.__class__.__name__,self.getID())
47	def __cmp__(self,other):
48	return cmp(self.getID(),other.getID())
49	def isPoint(self):
50	return False
51	def isCurve(self):
52	return False
53	def isSurface(self):
54	return False
55	def isCurveLoop(self):
56	return False
57	def isSurfaceLoop(self):
58	return False
59	def __neg__(self):
60	return ReversedPrimitive(self)
61	def __pos__(self):
62	return self.copy()
63	def __add__(self,other):
64	out=self.copy()
65	out+=other
66	return out
67	def __iadd__(self,other):
68	self.shift()
69	def setLocalLength(self,factor=1.):
70	for p in self.getPoints(): p.setLocalLength(factor)
71	def shift(self,shift):
72	for p in self.getPoints(): p+=shift
73	def copy(self):
74	return Primitive()
75	def getGmshCommand(self):
76	raise NotImplementedError("getGmshCommand is not implemented for this class %s."%self.__class__.__name__)
77	def getHistory(self):
78	return set()
79	def getPoints(self):
80	return set()
81	def translate(self,shift):
82	raise NotImplementedError("translate is not implemented for this class %s."%self.__class__.__name__)
83
84	class ReversedPrimitive(object):
85	def __init__(self,prim):
86	self.__prim=prim
87	def __getattr__(self,name):
88	if name == "getID":
89	return self.getReverseID
90	else:
91	return getattr(self.__prim,name)
92	def getReverseID(self):
93	return -self.__prim.getID()
94
95	class Point(Primitive):
96	"""
97	a three dimensional point
98	"""
99	def __init__(self,x=0.,y=0.,z=0.,local_scale=1.):
100	"""
101	creates a point with coorinates x,y,z with a relative refinement factor
102	"""
103	super(Point, self).__init__()
104	if not local_scale > 0.:
105	raise ValueError("local_scale needs to be positive.")
106	self._x=numarray.array([x,y,z],numarray.Float64)
107	self.setLocalScale(local_scale)
108	def setLocalScale(self,factor=1.):
109	"""
110	sets the local relative length scale
111	"""
112	self.__local_scale=factor
113	def getLocalScale(self):
114	return self.__local_scale
115	def copy(self):
116	c=self.getCoordinates()
117	return Point(c[0],c[1],c[2],local_scale=self.getLocalScale())
118	def isPoint(self):
119	return True
120	def getCoordinates(self):
121	return self._x
122	def getGmshCommand(self):
123	c=self.getCoordinates()
124	return "Point(%s) = {%e , %e, %e , %e * scale};"%(self.getID(),c[0],c[1],c[2], self.getLocalScale())
125	def getHistory(self):
126	return set([self])
127	def getPoints(self):
128	return set([self])
129	def shift(self,shift):
130	"""
131	shifts the point by a given shift
132	"""
133	self._x+=numarray.array(shift,numarray.Float64)
134	def translate(self,shift):
135	"""
136	returns the point shifted by shift
137	"""
138	out=self.copy()
139	out+=other
140	return out
141
142
143	class Curve(Primitive):
144	"""
145	a curve
146	"""
147	def __init__(self,*args):
148	"""
149	defines a curve form a set of control points
150	"""
151	super(Curve, self).__init__()
152	l=len(args)
153	for i in range(l):
154	if not args[i].isPoint():
155	raise TypeError("%s-th argument is not a Point object."%i)
156	self.__nodes=args
157	def __len__(self):
158	return len(self.__nodes)
159	def isCurve(self):
160	return True
161	def getStart(self):
162	"""
163	returns start point
164	"""
165	return self.__nodes[0]
166
167	def getEnd(self):
168	"""
169	returns end point
170	"""
171	return self.__nodes[-1]
172
173	def getNodes(self):
174	"""
175	returns a list of the nodes
176	"""
177	return self.__nodes
178	def getGmshCommand(self):
179	out=""
180	for i in self.getNodes():
181	if len(out)>0:
182	out+=", %s"%i.getID()
183	else:
184	out="%s"%i.getID()
185	return "Spline(%s) = {%s};"%(self.getID(),out)
186	def getHistory(self):
187	out=set([self])
188	for i in self.getNodes(): out\|=i.getHistory()
189	return out
190	def getPoints(self):
191	out=set()
192	for i in self.getNodes(): out\|=i.getPoints()
193	return out
194
195
196	class BezierCurve(Curve):
197	"""
198	a Bezier curve
199	"""
200	def __neg__(self):
201	"""
202	returns the line segment with swapped start and end points
203	"""
204	return BezierCurve(self.getNodes()[::-1])
205	def __add__(self,other):
206	return BezierCurve([p+other for p in self.getNodes()])
207	def getGmshCommand(self):
208	out=""
209	for i in self.getNodes():
210	if len(out)>0:
211	out+=", %s"%i.getID()
212	else:
213	out="%s"%i.getID()
214	return "Bezier(%s) = {%s};"%(self.getID(),out)
215
216	class BSplineCurve(Curve):
217	"""
218	a BSpline curve. Control points may be repeated.
219	"""
220	def __neg__(self):
221	"""
222	returns the line segment with swapped start and end points
223	"""
224	return BSplineCurve(self.getNodes()[::-1])
225	def __add__(self,other):
226	return BSplineCurve([p+other for p in self.getNodes()])
227	def getGmshCommand(self):
228	out=""
229	for i in self.getNodes():
230	if len(out)>0:
231	out+=", %s"%i.getID()
232	else:
233	out="%s"%i.getID()
234	return "BSpline(%s) = {%s};"%(self.getID(),out)
235
236	class Line(Curve):
237	"""
238	a line is defined by two L{Point}s
239	"""
240	def __init__(self,start,end):
241	"""
242	defines a curve form a set of control points
243	"""
244	super(Line, self).__init__(start,end)
245	def __neg__(self):
246	return ReversedPrimitive(self)
247	def __add__(self,other):
248	return Line(self.getEnd()+other,self.getStart()+other)
249	def getGmshCommand(self):
250	return "Line(%s) = {%s, %s};"%(self.getID(),self.getStart().getID(),self.getEnd().getID())
251
252	class Arc(Curve):
253	"""
254	defines an arc
255	"""
256	def __init__(self,center,start,end):
257	"""
258	creates an arc by the start point, end point and center
259	"""
260	if center.isPoint():
261	raise TypeError("center needs to be a Point object.")
262	super(Arc, self).__init__(start,end)
263	self.__center=center
264
265	def getCenter(self):
266	"""
267	returns center
268	"""
269	return self.__center
270	def __add__(self,other):
271	return Arc(self.getCenter()+other,self.getStart()+other,self.getEnd()+other)
272
273	def getHistory(self):
274	out=set([self])
275	out\|=self.getCenter().getHistory()
276	for i in self.getNodes(): out\|=i.getHistory()
277	return out
278	def getPoints(self):
279	out=self.getCenter().getPoints()
280	for i in self.getNodes(): out\|=i.getPoints()
281	return out
282	def getGmshCommand(self):
283	return "Circle(%s) = {%s, %s, %s};"%(self.getID(),self.getStart().getID(),self.getCenter().getID(),self.getEnd().getID())
284
285	class CurveLoop(Primitive):
286	"""
287	An oriented loop of curves.
288
289	The loop must be closed and the L{Curves}s should be oriented consistently.
290	"""
291	def __init__(self,*curves):
292	"""
293	creates a polygon from a list of line curves. The curves must form a closed loop.
294	"""
295	super(CurveLoop, self).__init__()
296	self.__curves=[]
297	self.addCurve(*curves)
298	def addCurve(self,*curves):
299	for i in range(len(curves)):
300	if not curves[i].isCurve():
301	raise TypeError("%s-th argument is not a Curve object."%i)
302	self.__curves+=curves
303
304	def isCurveLoop(self):
305	return True
306	def getCurves(self):
307	return self.__curves
308	def __add__(self,other):
309	return CurveLoop(*tuple([c+other for c in self.getCurves()[::-1]]))
310	def __len__(self):
311	return len(self.__curves)
312	def getHistory(self):
313	out=set([self])
314	for i in self.getCurves(): out\|=i.getHistory()
315	return out
316	def getPoints(self):
317	out=set()
318	for i in self.getCurves(): out\|=i.getPoints()
319	return out
320	def getGmshCommand(self):
321	out=""
322	for i in self.getCurves():
323	if len(out)>0:
324	out+=", %s"%i.getID()
325	else:
326	out="%s"%i.getID()
327	return "Line Loop(%s) = {%s};"%(self.getID(),out)
328
329	class Surface(Primitive):
330	"""
331	a surface
332	"""
333	def __init__(self,loop):
334	"""
335	creates a surface with boundary loop
336
337	@param loop: L{CurveLoop} defining the boundary of the surface
338	"""
339	super(Surface, self).__init__()
340	if not loop.isCurveLoop():
341	raise TypeError("argument loop needs to be a CurveLoop object.")
342	self.__loop=loop
343	def isSurface(self):
344	return True
345	def getBoundaryLoop(self):
346	return self.__loop
347	def __add__(self,other):
348	return Surface(self.getBoundaryLoop()+other)
349	def getHistory(self):
350	out=set([self]) \| self.getBoundaryLoop().getHistory()
351	return out
352	def getPoints(self):
353	return self.getBoundaryLoop().getPoints()
354	def getGmshCommand(self):
355	return "Ruled Surface(%s) = {%s};"%(self.getID(),self.getBoundaryLoop().getID())
356
357	class PlaneSurface(Surface):
358	"""
359	a plane surface with holes
360	"""
361	def __init__(self,loop,holes=[]):
362	"""
363	creates a plane surface.
364
365	@param loop: L{CurveLoop} defining the boundary of the surface
366	@param holes: list of L{CurveLoop} defining holes in the surface.
367	@note: A CurveLoop defining a hole should not have any lines in common with the exterior CurveLoop.
368	A CurveLoop defining a hole should not have any lines in common with another CurveLoop defining a hole in the same surface.
369	"""
370	super(PlaneSurface, self).__init__(loop)
371	for i in range(len(holes)):
372	if not holes[i].inCurveLoop():
373	raise TypeError("%i th hole needs to be a CurveLoop object.")
374	self.__holes=holes
375	def getHoles(self):
376	return self.__holes
377	def __add__(self,other):
378	return PlaneSurface(self.getBoundaryLoop()+other, holes=[h+other for h in self.getHoles()])
379	def getHistory(self):
380	out=set([self]) \| self.getBoundaryLoop().getHistory()
381	for i in self.getHoles(): out\|=i.getHistory()
382	return out
383	def getPoints(self):
384	out=self.getBoundaryLoop().getPoints()
385	for i in self.getHoles(): out\|=i.getPoints()
386	return out
387	def getGmshCommand(self):
388	out=""
389	for i in self.getHoles():
390	if len(out)>0:
391	out+=", %s"%i.getID()
392	else:
393	out="%s"%i.getID()
394	if len(out)>0:
395	return "Plane Surface(%s) = {%s, %s};"%(self.getID(),self.getBoundaryLoop().getID(), out)
396	else:
397	return "Plane Surface(%s) = {%s};"%(self.getID(),self.getBoundaryLoop().getID())
398
399	class RuledSurface(Surface):
400	"""
401	A ruled surface, i.e., a surface that can be interpolated using transfinite interpolation
402	"""
403	def __init__(self,loop):
404	"""
405	creates a ruled surface from a
406
407	@param loop: L{CurveLoop} defining the boundary of the surface. There is a restriction of composed of either three or four L{Curve} objects.
408	"""
409	if not loop.isCurveLoop():
410	raise TypeError("argument loop needs to be a CurveLoop object.")
411	if len(loop)<3:
412	raise TypeError("the loop must contain at least three Curves.")
413	super(RuledSurface, self).__init__(loop)
414	def __add__(self,other):
415	return RuledSurface(self.getBoundaryLoop()+other)
416	def getGmshCommand(self):
417	return "Ruled Surface(%s) = {%s};"%(self.getID(),self.getBoundaryLoop().getID())
418
419	class SurfaceLoop(Primitive):
420	"""
421	a surface loop. It defines the shell of a volume.
422
423	The loop must represent a closed shell, and the L{Surface}s should be oriented consistently.
424	"""
425	def __init__(self,*surfaces):
426	"""
427	creates a surface loop
428	"""
429	super(SurfaceLoop, self).__init__()
430	self.__surfaces=[]
431	self.addSurface(*surfaces)
432	def addSurface(self,*surfaces):
433	for i in range(len(surfaces)):
434	if not surfaces[i].isSurface():
435	raise TypeError("%s-th argument is not a Surface object."%i)
436	self.__surfaces+=surfaces
437
438	def isSurfaceLoop(self):
439	return True
440	def getSurfaces(self):
441	return self.__surfaces
442	def __add__(self,other):
443	return SurfaceLoop([c+other for c in self.getSurfaces])
444	def __len__(self):
445	return len(self.__surfaces)
446	def getHistory(self):
447	out=set([self])
448	for i in self.getSurfaces(): out\|=i.getHistory()
449	return out
450	def getPoints(self):
451	out=set()
452	for i in self.getSurfaces(): out\|=i.getPoints()
453	return out
454	def getGmshCommand(self):
455	out=""
456	for i in self.getSurfaces():
457	if len(out)>0:
458	out+=", %s"%i.getID()
459	else:
460	out="%s"%i.getID()
461	return "Surface Loop(%s) = {%s};"%(self.getID(),out)
462
463	class Volume(Primitive):
464	"""
465	a volume with holes.
466	"""
467	def __init__(self,loop,holes=[]):
468	"""
469	creates a volume
470
471	@param loop: L{SurfaceLoop} defining the boundary of the surface
472	@param holes: list of L{SurfaceLoop} defining holes in the surface.
473	@note: A SurfaceLoop defining a hole should not have any surfaces in common with the exterior SurfaceLoop.
474	A SurfaceLoop defining a hole should not have any surfaces in common with another SurfaceLoop defining a hole in the same volume.
475	"""
476	super(Volume, self).__init__()
477	if not loop.isSurfaceLoop():
478	raise TypeError("argument loop needs to be a SurfaceLoop object.")
479	for i in range(len(holes)):
480	if not holes[i].isSurfaceLoop():
481	raise TypeError("%i th hole needs to be a SurfaceLoop object.")
482	self.__loop=loop
483	self.__holes=holes
484	def getHoles(self):
485	return self.__holes
486	def getSurfaceLoop(self):
487	return self.__loop
488	def __add__(self,other):
489	return Volume(self.getSurfaceLoop()+other, holes=[h+other for h in self.getHoles()])
490	def getHistory(self):
491	out=set([self]) \| self.getSurfaceLoop().getHistory()
492	for i in self.getHoles(): out\|=i.getHistory()
493	return out
494	def getPoints(self):
495	out=self.getSurfaceLoop().getPoints()
496	for i in self.getHoles(): out\|=i.Points()
497	return out
498	def getGmshCommand(self):
499	out=""
500	for i in self.getHoles():
501	if len(out)>0:
502	out+=", %s"%i.getID()
503	else:
504	out="%s"%i.getID()
505	if len(out)>0:
506	return "Volume(%s) = {%s, %s};"%(self.getID(),self.getSurfaceLoop().getID(), out)
507	else:
508	return "Volume(%s) = {%s};"%(self.getID(),self.getSurfaceLoop().getID())
509
510	class PropertySet(Primitive):
511	"""
512	defines a group L{Primitive} objects.
513	"""
514	def __init__(self,tag=None,*items):
515	super(PropertySet, self).__init__()
516	self.__items=items
517	self.__tag=tag
518	def getHistory(self):
519	out=set([self, self.getBoundaryLoop().getHistory()])
520	for i in self.getHoles(): out\|=i.getHistory()
521	return out
522
523	class PrimitiveStack(object):
524	def __init__(self,*items):
525	self.__prims=set()
526	for i in items:
527	self.__prims\|=i.getHistory()
528	self.__prims=list(self.__prims)
529	self.__prims.sort()
530
531	def getGmshCommands(self):
532	out=""
533	for i in self.__prims:
534	out+=i.getGmshCommand()+"\n"
535	return out