mirror of
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Split out BaseRectangularMesh (Issue #48)
This commit is contained in:
rowanc1
+365
-358
@@ -38,6 +38,371 @@ class BaseMesh(object):
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"""
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return self._x0
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@property
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def dim(self):
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"""
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The dimension of the mesh (1, 2, or 3).
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:rtype: int
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:return: dim
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"""
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return len(self._n)
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@property
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def nC(self):
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"""
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Total number of cells in the model.
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:rtype: int
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:return: nC
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.. plot::
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:include-source:
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from SimPEG import Mesh, np
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Mesh.TensorMesh([np.ones(n) for n in [2,3]]).plotGrid(centers=True,showIt=True)
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"""
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return self._n.prod()
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@property
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def nN(self):
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"""
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Total number of nodes
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:rtype: int
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:return: nN
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.. plot::
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:include-source:
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from SimPEG import Mesh, np
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Mesh.TensorMesh([np.ones(n) for n in [2,3]]).plotGrid(nodes=True,showIt=True)
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"""
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return (self._n+1).prod()
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@property
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def nEx(self):
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"""
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Number of x-edges
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:rtype: int
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:return: nEx
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"""
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return (self._n + np.r_[0,1,1][:self.dim]).prod()
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@property
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def nEy(self):
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"""
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Number of y-edges
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:rtype: int
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:return: nEy
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"""
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if self.dim < 2: return None
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return (self._n + np.r_[1,0,1][:self.dim]).prod()
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@property
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def nEz(self):
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"""
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Number of z-edges
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:rtype: int
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:return: nEz
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"""
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if self.dim < 3: return None
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return (self._n + np.r_[1,1,0][:self.dim]).prod()
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@property
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def vnE(self):
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"""
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Total number of edges in each direction
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:rtype: numpy.array (dim, )
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:return: [nEx, nEy, nEz]
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.. plot::
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:include-source:
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from SimPEG import Mesh, np
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Mesh.TensorMesh([np.ones(n) for n in [2,3]]).plotGrid(edges=True,showIt=True)
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"""
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return np.array([x for x in [self.nEx, self.nEy, self.nEz] if not x is None])
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@property
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def nE(self):
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"""
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Total number of edges.
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:rtype: int
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:return: sum([nEx, nEy, nEz])
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"""
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return self.vnE.sum()
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@property
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def nFx(self):
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"""
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Number of x-faces
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:rtype: int
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:return: nFx
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"""
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return (self._n + np.r_[1,0,0][:self.dim]).prod()
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@property
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def nFy(self):
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"""
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Number of y-faces
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:rtype: int
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:return: nFy
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"""
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if self.dim < 2: return None
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return (self._n + np.r_[0,1,0][:self.dim]).prod()
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@property
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def nFz(self):
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"""
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Number of z-faces
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:rtype: int
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:return: nFz
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"""
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if self.dim < 3: return None
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return (self._n + np.r_[0,0,1][:self.dim]).prod()
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@property
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def vnF(self):
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"""
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Total number of faces in each direction
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:rtype: numpy.array (dim, )
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:return: [nFx, nFy, nFz]
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.. plot::
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:include-source:
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from SimPEG import Mesh, np
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Mesh.TensorMesh([np.ones(n) for n in [2,3]]).plotGrid(faces=True,showIt=True)
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"""
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return np.array([x for x in [self.nFx, self.nFy, self.nFz] if not x is None])
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@property
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def nF(self):
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"""
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Total number of faces.
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:rtype: int
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:return: sum([nFx, nFy, nFz])
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"""
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return self.vnF.sum()
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@property
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def normals(self):
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"""
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Face Normals
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:rtype: numpy.array (sum(nF), dim)
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:return: normals
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"""
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if self.dim == 2:
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nX = np.c_[np.ones(self.nFx), np.zeros(self.nFx)]
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nY = np.c_[np.zeros(self.nFy), np.ones(self.nFy)]
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return np.r_[nX, nY]
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elif self.dim == 3:
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nX = np.c_[np.ones(self.nFx), np.zeros(self.nFx), np.zeros(self.nFx)]
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nY = np.c_[np.zeros(self.nFy), np.ones(self.nFy), np.zeros(self.nFy)]
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nZ = np.c_[np.zeros(self.nFz), np.zeros(self.nFz), np.ones(self.nFz)]
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return np.r_[nX, nY, nZ]
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@property
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def tangents(self):
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"""
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Edge Tangents
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:rtype: numpy.array (sum(nE), dim)
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:return: normals
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"""
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if self.dim == 2:
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tX = np.c_[np.ones(self.nEx), np.zeros(self.nEx)]
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tY = np.c_[np.zeros(self.nEy), np.ones(self.nEy)]
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return np.r_[tX, tY]
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elif self.dim == 3:
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tX = np.c_[np.ones(self.nEx), np.zeros(self.nEx), np.zeros(self.nEx)]
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tY = np.c_[np.zeros(self.nEy), np.ones(self.nEy), np.zeros(self.nEy)]
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tZ = np.c_[np.zeros(self.nEz), np.zeros(self.nEz), np.ones(self.nEz)]
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return np.r_[tX, tY, tZ]
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def projectFaceVector(self, fV):
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"""
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Given a vector, fV, in cartesian coordinates, this will project it onto the mesh using the normals
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:param numpy.array fV: face vector with shape (nF, dim)
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:rtype: numpy.array with shape (nF, )
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:return: projected face vector
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"""
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assert type(fV) == np.ndarray, 'fV must be an ndarray'
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assert len(fV.shape) == 2 and fV.shape[0] == np.sum(self.nF) and fV.shape[1] == self.dim, 'fV must be an ndarray of shape (nF x dim)'
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return np.sum(fV*self.normals, 1)
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def projectEdgeVector(self, eV):
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"""
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Given a vector, eV, in cartesian coordinates, this will project it onto the mesh using the tangents
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:param numpy.array eV: edge vector with shape (nE, dim)
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:rtype: numpy.array with shape (nE, )
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:return: projected edge vector
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"""
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assert type(eV) == np.ndarray, 'eV must be an ndarray'
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assert len(eV.shape) == 2 and eV.shape[0] == np.sum(self.nE) and eV.shape[1] == self.dim, 'eV must be an ndarray of shape (nE x dim)'
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return np.sum(eV*self.tangents, 1)
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class BaseRectangularMesh(BaseMesh):
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"""BaseRectangularMesh"""
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def __init__(self, n, x0=None):
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BaseMesh.__init__(self, n, x0)
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@property
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def nCx(self):
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"""
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Number of cells in the x direction
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:rtype: int
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:return: nCx
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"""
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return self._n[0]
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@property
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def nCy(self):
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"""
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Number of cells in the y direction
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:rtype: int
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:return: nCy or None if dim < 2
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"""
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return None if self.dim < 2 else self._n[1]
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@property
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def nCz(self):
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"""Number of cells in the z direction
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:rtype: int
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:return: nCz or None if dim < 3
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"""
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return None if self.dim < 3 else self._n[2]
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@property
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def vnC(self):
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"""
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Total number of cells in each direction
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:rtype: numpy.array (dim, )
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:return: [nCx, nCy, nCz]
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"""
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return np.array([x for x in [self.nCx, self.nCy, self.nCz] if not x is None])
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@property
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def nNx(self):
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"""
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Number of nodes in the x-direction
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:rtype: int
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:return: nNx
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"""
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return self.nCx + 1
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@property
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def nNy(self):
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"""
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Number of noes in the y-direction
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:rtype: int
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:return: nNy or None if dim < 2
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"""
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return None if self.dim < 2 else self.nCy + 1
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@property
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def nNz(self):
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"""
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Number of nodes in the z-direction
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:rtype: int
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:return: nNz or None if dim < 3
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"""
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return None if self.dim < 3 else self.nCz + 1
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@property
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def vnN(self):
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"""
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Total number of nodes in each direction
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:rtype: numpy.array (dim, )
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:return: [nNx, nNy, nNz]
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"""
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return np.array([x for x in [self.nNx, self.nNy, self.nNz] if not x is None])
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@property
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def vnEx(self):
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"""
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Number of x-edges in each direction
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:rtype: numpy.array (dim, )
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:return: vnEx
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"""
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return np.array([x for x in [self.nCx, self.nNy, self.nNz] if not x is None])
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@property
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def vnEy(self):
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"""
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Number of y-edges in each direction
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:rtype: numpy.array (dim, )
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:return: vnEy or None if dim < 2
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"""
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return None if self.dim < 2 else np.array([x for x in [self.nNx, self.nCy, self.nNz] if not x is None])
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@property
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def vnEz(self):
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"""
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Number of z-edges in each direction
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:rtype: numpy.array (dim, )
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:return: vnEz or None if dim < 3
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"""
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return None if self.dim < 3 else np.array([x for x in [self.nNx, self.nNy, self.nCz] if not x is None])
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@property
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def vnFx(self):
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"""
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Number of x-faces in each direction
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:rtype: numpy.array (dim, )
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:return: vnFx
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"""
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return np.array([x for x in [self.nNx, self.nCy, self.nCz] if not x is None])
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@property
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def vnFy(self):
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"""
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Number of y-faces in each direction
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:rtype: numpy.array (dim, )
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:return: vnFy or None if dim < 2
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"""
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return None if self.dim < 2 else np.array([x for x in [self.nCx, self.nNy, self.nCz] if not x is None])
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@property
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def vnFz(self):
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"""
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Number of z-faces in each direction
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:rtype: numpy.array (dim, )
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:return: vnFz or None if dim < 3
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"""
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return None if self.dim < 3 else np.array([x for x in [self.nCx, self.nCy, self.nNz] if not x is None])
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def r(self, x, xType='CC', outType='CC', format='V'):
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"""
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Mesh.r is a quick reshape command that will do the best it can at giving you what you want.
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@@ -144,361 +509,3 @@ class BaseMesh(object):
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return out
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else:
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return switchKernal(x)
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@property
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def dim(self):
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"""
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The dimension of the mesh (1, 2, or 3).
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:rtype: int
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:return: dim
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"""
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return len(self._n)
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@property
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def nCx(self):
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"""
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Number of cells in the x direction
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:rtype: int
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:return: nCx
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"""
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return self._n[0]
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@property
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def nCy(self):
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"""
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Number of cells in the y direction
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:rtype: int
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:return: nCy or None if dim < 2
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"""
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return None if self.dim < 2 else self._n[1]
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@property
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def nCz(self):
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"""Number of cells in the z direction
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:rtype: int
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:return: nCz or None if dim < 3
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"""
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return None if self.dim < 3 else self._n[2]
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@property
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def vnC(self):
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"""
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Total number of cells in each direction
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:rtype: numpy.array (dim, )
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:return: [nCx, nCy, nCz]
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"""
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return np.array([x for x in [self.nCx, self.nCy, self.nCz] if not x is None])
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@property
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def nC(self):
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doc = """
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Total number of cells in the model.
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:rtype: int
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:return: nC
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.. plot::
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:include-source:
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from SimPEG import Mesh, np
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Mesh.TensorMesh([np.ones(n) for n in [2,3]]).plotGrid(centers=True,showIt=True)
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"""
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return self.vnC.prod()
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@property
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def nNx(self):
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"""
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Number of nodes in the x-direction
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:rtype: int
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:return: nNx
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"""
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return self.nCx + 1
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@property
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def nNy(self):
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"""
|
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Number of noes in the y-direction
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:rtype: int
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:return: nNy or None if dim < 2
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"""
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return None if self.dim < 2 else self.nCy + 1
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@property
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def nNz(self):
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"""
|
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Number of nodes in the z-direction
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:rtype: int
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:return: nNz or None if dim < 3
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"""
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return None if self.dim < 3 else self.nCz + 1
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@property
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def vnN(self):
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"""
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Total number of nodes in each direction
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:rtype: numpy.array (dim, )
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:return: [nNx, nNy, nNz]
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"""
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return np.array([x for x in [self.nNx, self.nNy, self.nNz] if not x is None])
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@property
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def nN(self):
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doc = """
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Total number of nodes
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:rtype: int
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:return: nN
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.. plot::
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:include-source:
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from SimPEG import Mesh, np
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Mesh.TensorMesh([np.ones(n) for n in [2,3]]).plotGrid(nodes=True,showIt=True)
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"""
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return self.vnN.prod()
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@property
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def nEx(self):
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"""
|
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Number of x-edges
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:rtype: int
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:return: nEx
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"""
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return self.vnEx.prod()
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@property
|
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def nEy(self):
|
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"""
|
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Number of y-edges
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||||
|
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:rtype: int
|
||||
:return: nEy
|
||||
"""
|
||||
return self.vnEy.prod()
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@property
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def nEz(self):
|
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"""
|
||||
Number of z-edges
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||||
|
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:rtype: int
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:return: nEz
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||||
"""
|
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return self.vnEz.prod()
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@property
|
||||
def vnEx(self):
|
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"""
|
||||
Number of x-edges in each direction
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||||
|
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:rtype: numpy.array (dim, )
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:return: vnEx
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"""
|
||||
return np.array([x for x in [self.nCx, self.nNy, self.nNz] if not x is None])
|
||||
|
||||
@property
|
||||
def vnEy(self):
|
||||
"""
|
||||
Number of y-edges in each direction
|
||||
|
||||
:rtype: numpy.array (dim, )
|
||||
:return: vnEy or None if dim < 2
|
||||
"""
|
||||
return None if self.dim < 2 else np.array([x for x in [self.nNx, self.nCy, self.nNz] if not x is None])
|
||||
|
||||
@property
|
||||
def vnEz(self):
|
||||
"""
|
||||
Number of z-edges in each direction
|
||||
|
||||
:rtype: numpy.array (dim, )
|
||||
:return: vnEz or None if dim < 3
|
||||
"""
|
||||
return None if self.dim < 3 else np.array([x for x in [self.nNx, self.nNy, self.nCz] if not x is None])
|
||||
|
||||
@property
|
||||
def vnE(self):
|
||||
"""
|
||||
Total number of edges in each direction
|
||||
|
||||
:rtype: numpy.array (dim, )
|
||||
:return: [prod(vnEx), prod(vnEy), prod(vnEz)]
|
||||
|
||||
.. plot::
|
||||
:include-source:
|
||||
|
||||
from SimPEG import Mesh, np
|
||||
Mesh.TensorMesh([np.ones(n) for n in [2,3]]).plotGrid(edges=True,showIt=True)
|
||||
"""
|
||||
return np.array([np.prod(x) for x in [self.vnEx, self.vnEy, self.vnEz] if not x is None])
|
||||
|
||||
|
||||
@property
|
||||
def nE(self):
|
||||
"""
|
||||
Total number of edges.
|
||||
|
||||
:rtype: int
|
||||
:return: sum([prod(vnEx), prod(vnEy), prod(vnEz)])
|
||||
|
||||
"""
|
||||
return self.vnE.sum()
|
||||
|
||||
@property
|
||||
def nFx(self):
|
||||
"""
|
||||
Number of x-faces
|
||||
|
||||
:rtype: int
|
||||
:return: nFx
|
||||
"""
|
||||
return self.vnFx.prod()
|
||||
|
||||
@property
|
||||
def nFy(self):
|
||||
"""
|
||||
Number of y-faces
|
||||
|
||||
:rtype: int
|
||||
:return: nFy
|
||||
"""
|
||||
return self.vnFy.prod()
|
||||
|
||||
@property
|
||||
def nFz(self):
|
||||
"""
|
||||
Number of z-faces
|
||||
|
||||
:rtype: int
|
||||
:return: nFz
|
||||
"""
|
||||
return self.vnFz.prod()
|
||||
|
||||
@property
|
||||
def vnFx(self):
|
||||
"""
|
||||
Number of x-faces in each direction
|
||||
|
||||
:rtype: numpy.array (dim, )
|
||||
:return: vnFx
|
||||
"""
|
||||
return np.array([x for x in [self.nNx, self.nCy, self.nCz] if not x is None])
|
||||
|
||||
@property
|
||||
def vnFy(self):
|
||||
"""
|
||||
Number of y-faces in each direction
|
||||
|
||||
:rtype: numpy.array (dim, )
|
||||
:return: vnFy or None if dim < 2
|
||||
"""
|
||||
return None if self.dim < 2 else np.array([x for x in [self.nCx, self.nNy, self.nCz] if not x is None])
|
||||
|
||||
@property
|
||||
def vnFz(self):
|
||||
"""
|
||||
Number of z-faces in each direction
|
||||
|
||||
:rtype: numpy.array (dim, )
|
||||
:return: vnFz or None if dim < 3
|
||||
"""
|
||||
return None if self.dim < 3 else np.array([x for x in [self.nCx, self.nCy, self.nNz] if not x is None])
|
||||
|
||||
@property
|
||||
def vnF(self):
|
||||
"""
|
||||
Total number of faces in each direction
|
||||
|
||||
:rtype: numpy.array (dim, )
|
||||
:return: [prod(vnFx), prod(vnFy), prod(vnFz)]
|
||||
|
||||
.. plot::
|
||||
:include-source:
|
||||
|
||||
from SimPEG import Mesh, np
|
||||
Mesh.TensorMesh([np.ones(n) for n in [2,3]]).plotGrid(faces=True,showIt=True)
|
||||
"""
|
||||
return np.array([np.prod(x) for x in [self.vnFx, self.vnFy, self.vnFz] if not x is None])
|
||||
|
||||
|
||||
@property
|
||||
def nF(self):
|
||||
"""
|
||||
Total number of faces.
|
||||
|
||||
:rtype: int
|
||||
:return: sum([vnFx, vnFy, vnFz])
|
||||
|
||||
"""
|
||||
return self.vnF.sum()
|
||||
|
||||
@property
|
||||
def normals(self):
|
||||
"""
|
||||
Face Normals
|
||||
|
||||
:rtype: numpy.array (sum(nF), dim)
|
||||
:return: normals
|
||||
"""
|
||||
if self.dim == 2:
|
||||
nX = np.c_[np.ones(self.nFx), np.zeros(self.nFx)]
|
||||
nY = np.c_[np.zeros(self.nFy), np.ones(self.nFy)]
|
||||
return np.r_[nX, nY]
|
||||
elif self.dim == 3:
|
||||
nX = np.c_[np.ones(self.nFx), np.zeros(self.nFx), np.zeros(self.nFx)]
|
||||
nY = np.c_[np.zeros(self.nFy), np.ones(self.nFy), np.zeros(self.nFy)]
|
||||
nZ = np.c_[np.zeros(self.nFz), np.zeros(self.nFz), np.ones(self.nFz)]
|
||||
return np.r_[nX, nY, nZ]
|
||||
|
||||
@property
|
||||
def tangents(self):
|
||||
"""
|
||||
Edge Tangents
|
||||
|
||||
:rtype: numpy.array (sum(nE), dim)
|
||||
:return: normals
|
||||
"""
|
||||
if self.dim == 2:
|
||||
tX = np.c_[np.ones(self.nEx), np.zeros(self.nEx)]
|
||||
tY = np.c_[np.zeros(self.nEy), np.ones(self.nEy)]
|
||||
return np.r_[tX, tY]
|
||||
elif self.dim == 3:
|
||||
tX = np.c_[np.ones(self.nEx), np.zeros(self.nEx), np.zeros(self.nEx)]
|
||||
tY = np.c_[np.zeros(self.nEy), np.ones(self.nEy), np.zeros(self.nEy)]
|
||||
tZ = np.c_[np.zeros(self.nEz), np.zeros(self.nEz), np.ones(self.nEz)]
|
||||
return np.r_[tX, tY, tZ]
|
||||
|
||||
|
||||
def projectFaceVector(self, fV):
|
||||
"""
|
||||
Given a vector, fV, in cartesian coordinates, this will project it onto the mesh using the normals
|
||||
|
||||
:param numpy.array fV: face vector with shape (nF, dim)
|
||||
:rtype: numpy.array with shape (nF, )
|
||||
:return: projected face vector
|
||||
"""
|
||||
assert type(fV) == np.ndarray, 'fV must be an ndarray'
|
||||
assert len(fV.shape) == 2 and fV.shape[0] == np.sum(self.nF) and fV.shape[1] == self.dim, 'fV must be an ndarray of shape (nF x dim)'
|
||||
return np.sum(fV*self.normals, 1)
|
||||
|
||||
def projectEdgeVector(self, eV):
|
||||
"""
|
||||
Given a vector, eV, in cartesian coordinates, this will project it onto the mesh using the tangents
|
||||
|
||||
:param numpy.array eV: edge vector with shape (nE, dim)
|
||||
:rtype: numpy.array with shape (nE, )
|
||||
:return: projected edge vector
|
||||
"""
|
||||
assert type(eV) == np.ndarray, 'eV must be an ndarray'
|
||||
assert len(eV.shape) == 2 and eV.shape[0] == np.sum(self.nE) and eV.shape[1] == self.dim, 'eV must be an ndarray of shape (nE x dim)'
|
||||
return np.sum(eV*self.tangents, 1)
|
||||
|
||||
Reference in New Issue
Block a user