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aveE2CC for 3D
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+68
-3
@@ -1320,8 +1320,73 @@ class TreeMesh(BaseMesh, InnerProducts):
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def aveE2CC(self):
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"Construct the averaging operator on cell edges to cell centers."
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if getattr(self, '_aveE2CC', None) is None:
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# TODO: preallocate
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I, J, V = [], [], []
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if self.dim == 2:
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self._aveE2CC = self.aveF2CC
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raise NotImplementedError('aveE2CC not implemented yet')
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# PM = [1./(2.*self.dim)]*self.dim # plus / plus
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# offset = [0]*2 + [self.ntEx]*2
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# for ii, ind in enumerate(self._sortedCells):
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# p = self._pointer(ind)
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# w = self._levelWidth(p[-1])
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# edges = [
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# self._ex2i[self._index([ p[0] , p[1] , p[2] , p[3]])],
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# self._ex2i[self._index([ p[0] , p[1] + w, p[2] , p[3]])],
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# self._ex2i[self._index([ p[0] , p[1] , p[2] + w, p[3]])],
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# self._ex2i[self._index([ p[0] , p[1] + w, p[2] + w, p[3]])],
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# self._ey2i[self._index([ p[0] , p[1] , p[2] , p[3]])],
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# self._ey2i[self._index([ p[0] + w, p[1] , p[2] , p[3]])],
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# self._ey2i[self._index([ p[0] , p[1] , p[2] + w, p[3]])],
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# self._ey2i[self._index([ p[0] + w, p[1] , p[2] + w, p[3]])],
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# self._ez2i[self._index([ p[0] , p[1] , p[2] , p[3]])],
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# self._ez2i[self._index([ p[0] + w, p[1] , p[2] , p[3]])],
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# self._ez2i[self._index([ p[0] , p[1] + w, p[2] , p[3]])],
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# self._ez2i[self._index([ p[0] + w, p[1] + w, p[2] , p[3]])]
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# ]
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# for off, pm, edge in zip(offset,PM,edges):
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# I += [ii]
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# J += [edge + off]
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# V += [pm]
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if self.dim == 3:
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PM = [1./(4.*self.dim)]*4*self.dim # plus / plus
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offset = [0]*4 + [self.ntEx]*4 + [self.ntEx+self.ntEy]*4
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for ii, ind in enumerate(self._sortedCells):
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p = self._pointer(ind)
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w = self._levelWidth(p[-1])
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edges = [
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self._ex2i[self._index([ p[0] , p[1] , p[2] , p[3]])],
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self._ex2i[self._index([ p[0] , p[1] + w, p[2] , p[3]])],
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self._ex2i[self._index([ p[0] , p[1] , p[2] + w, p[3]])],
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self._ex2i[self._index([ p[0] , p[1] + w, p[2] + w, p[3]])],
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self._ey2i[self._index([ p[0] , p[1] , p[2] , p[3]])],
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self._ey2i[self._index([ p[0] + w, p[1] , p[2] , p[3]])],
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self._ey2i[self._index([ p[0] , p[1] , p[2] + w, p[3]])],
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self._ey2i[self._index([ p[0] + w, p[1] , p[2] + w, p[3]])],
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self._ez2i[self._index([ p[0] , p[1] , p[2] , p[3]])],
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self._ez2i[self._index([ p[0] + w, p[1] , p[2] , p[3]])],
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self._ez2i[self._index([ p[0] , p[1] + w, p[2] , p[3]])],
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self._ez2i[self._index([ p[0] + w, p[1] + w, p[2] , p[3]])]
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]
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for off, pm, edge in zip(offset,PM,edges):
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I += [ii]
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J += [edge + off]
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V += [pm]
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Av = sp.csr_matrix((V,(I,J)), shape=(self.nC, self.ntE))
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Re = self._deflationMatrix('E',asOnes=False,withHanging=True)
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self._aveE2CC = Av*Re
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return self._aveE2CC
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@property
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@@ -1335,7 +1400,7 @@ class TreeMesh(BaseMesh, InnerProducts):
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if getattr(self, '_aveF2CC', None) is None:
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# TODO: Preallocate!
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I, J, V = [], [], []
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PM = [1./(2*self.dim)]*2*self.dim # plus / plus
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PM = [1./(2.*self.dim)]*2*self.dim # plus / plus
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# TODO total number of faces?
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offset = [0]*2 + [self.ntFx]*2 + [self.ntFx+self.ntFy]*2
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@@ -1451,7 +1516,7 @@ class TreeMesh(BaseMesh, InnerProducts):
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Av = sp.csr_matrix((V,(I,J)), shape=(self.nC*self.dim, self.ntF))
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Rf = self._deflationMatrix('F',asOnes=True,withHanging=True)
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self._aveF2CCV = Av*Rf
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return self._aveF2CCV
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@@ -437,13 +437,13 @@ class TestTreeAveraging2D(Tests.OrderTest):
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# self.getAve = lambda M: M.aveN2E
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# self.orderTest()
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# def test_orderF2CC(self):
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# self.name = "Averaging 2D: F2CC"
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# fun = lambda x, y: (np.cos(x)+np.sin(y))
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# self.getHere = lambda M: np.r_[call2(fun, np.r_[M.gridFx, M.gridFy])]
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# self.getThere = lambda M: call2(fun, M.gridCC)
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# self.getAve = lambda M: M.aveF2CC
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# self.orderTest()
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def test_orderF2CC(self):
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self.name = "Averaging 2D: F2CC"
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fun = lambda x, y: (np.cos(x)+np.sin(y))
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self.getHere = lambda M: np.r_[call2(fun, np.r_[M.gridFx, M.gridFy])]
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self.getThere = lambda M: call2(fun, M.gridCC)
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self.getAve = lambda M: M.aveF2CC
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self.orderTest()
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def test_orderF2CCV(self):
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self.name = "Averaging 2D: F2CCV"
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@@ -521,13 +521,13 @@ class TestAveraging3D(Tests.OrderTest):
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# self.getAve = lambda M: M.aveN2E
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# self.orderTest()
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# def test_orderF2CC(self):
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# self.name = "Averaging 3D: F2CC"
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# fun = lambda x, y, z: (np.cos(x)+np.sin(y)+np.exp(z))
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# self.getHere = lambda M: np.r_[call3(fun, M.gridFx), call3(fun, M.gridFy), call3(fun, M.gridFz)]
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# self.getThere = lambda M: call3(fun, M.gridCC)
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# self.getAve = lambda M: M.aveF2CC
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# self.orderTest()
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def test_orderF2CC(self):
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self.name = "Averaging 3D: F2CC"
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fun = lambda x, y, z: (np.cos(x)+np.sin(y)+np.exp(z))
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self.getHere = lambda M: np.r_[call3(fun, M.gridFx), call3(fun, M.gridFy), call3(fun, M.gridFz)]
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self.getThere = lambda M: call3(fun, M.gridCC)
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self.getAve = lambda M: M.aveF2CC
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self.orderTest()
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def test_orderF2CCV(self):
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self.name = "Averaging 3D: F2CCV"
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@@ -539,13 +539,13 @@ class TestAveraging3D(Tests.OrderTest):
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self.getAve = lambda M: M.aveF2CCV
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self.orderTest()
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# def test_orderE2CC(self):
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# self.name = "Averaging 3D: E2CC"
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# fun = lambda x, y, z: (np.cos(x)+np.sin(y)+np.exp(z))
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# self.getHere = lambda M: np.r_[call3(fun, M.gridEx), call3(fun, M.gridEy), call3(fun, M.gridEz)]
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# self.getThere = lambda M: call3(fun, M.gridCC)
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# self.getAve = lambda M: M.aveE2CC
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# self.orderTest()
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def test_orderE2CC(self):
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self.name = "Averaging 3D: E2CC"
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fun = lambda x, y, z: (np.cos(x)+np.sin(y)+np.exp(z))
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self.getHere = lambda M: np.r_[call3(fun, M.gridEx), call3(fun, M.gridEy), call3(fun, M.gridEz)]
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self.getThere = lambda M: call3(fun, M.gridCC)
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self.getAve = lambda M: M.aveE2CC
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self.orderTest()
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# def test_orderE2CCV(self):
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# self.name = "Averaging 3D: E2CCV"
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