Merge branch 'dev' into Dom_Dev

This commit is contained in:
D Fournier
2016-01-31 10:33:44 -08:00
19 changed files with 1385 additions and 984 deletions
+1 -1
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@@ -33,7 +33,7 @@ before_install:
# Install packages # Install packages
install: install:
- conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython nose - conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython nose vtk
- pip install nose-cov python-coveralls - pip install nose-cov python-coveralls
- git clone https://github.com/rowanc1/pymatsolver.git - git clone https://github.com/rowanc1/pymatsolver.git
+30
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@@ -206,6 +206,36 @@ class SaveOutputEveryIteration(_SaveEveryIteration):
f.write(' %3d %1.4e %1.4e %1.4e %1.4e\n'%(self.opt.iter, self.invProb.beta, self.invProb.phi_d, self.invProb.phi_m, self.opt.f)) f.write(' %3d %1.4e %1.4e %1.4e %1.4e\n'%(self.opt.iter, self.invProb.beta, self.invProb.phi_d, self.invProb.phi_m, self.opt.f))
f.close() f.close()
class SaveOutputDictEveryIteration(_SaveEveryIteration):
"""SaveOutputDictEveryIteration"""
def initialize(self):
print "SimPEG.SaveOutputDictEveryIteration will save your inversion progress as dictionary: '###-%s.npz'"%self.fileName
def endIter(self):
# Save the data.
ms = self.reg.Ws * ( self.reg.mapping * (self.invProb.curModel - self.reg.mref) )
phi_ms = 0.5*ms.dot(ms)
if self.reg.smoothModel == True:
mref = self.reg.mref
else:
mref = 0
mx = self.reg.Wx * ( self.reg.mapping * (self.invProb.curModel - mref) )
phi_mx = 0.5 * mx.dot(mx)
if self.prob.mesh.dim==2:
my = self.reg.Wy * ( self.reg.mapping * (self.invProb.curModel - mref) )
phi_my = 0.5 * my.dot(my)
else:
phi_my = 'NaN'
if self.prob.mesh.dim==3:
mz = self.reg.Wz * ( self.reg.mapping * (self.invProb.curModel - mref) )
phi_mz = 0.5 * mz.dot(mz)
else:
phi_mz = 'NaN'
# Save the file as a npz
np.savez('{:03d}-{:s}'.format(self.opt.iter,self.fileName), iter=self.opt.iter, beta=self.invProb.beta, phi_d=self.invProb.phi_d, phi_m=self.invProb.phi_m, phi_ms=phi_ms, phi_mx=phi_mx, phi_my=phi_my, phi_mz=phi_mz,f=self.opt.f, m=self.invProb.curModel,dpred=self.invProb.dpred)
+3 -1
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@@ -50,7 +50,7 @@ class BaseFDEMProblem(BaseEMProblem):
Srcs = self.survey.getSrcByFreq(freq) Srcs = self.survey.getSrcByFreq(freq)
ftype = self._fieldType + 'Solution' ftype = self._fieldType + 'Solution'
F[Srcs, ftype] = sol F[Srcs, ftype] = sol
Ainv.clean()
return F return F
def Jvec(self, m, v, f=None): def Jvec(self, m, v, f=None):
@@ -89,6 +89,7 @@ class BaseFDEMProblem(BaseEMProblem):
Jv[src, rx] = P(Df_Dm) Jv[src, rx] = P(Df_Dm)
Ainv.clean()
return Utils.mkvc(Jv) return Utils.mkvc(Jv)
def Jtvec(self, m, v, f=None): def Jtvec(self, m, v, f=None):
@@ -140,6 +141,7 @@ class BaseFDEMProblem(BaseEMProblem):
else: else:
raise Exception('Must be real or imag') raise Exception('Must be real or imag')
ATinv.clean()
return Jtv return Jtv
def getSourceTerm(self, freq): def getSourceTerm(self, freq):
+8
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@@ -37,6 +37,14 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
_FieldsForward_pair = FieldsTDEM #: used for the forward calculation only _FieldsForward_pair = FieldsTDEM #: used for the forward calculation only
waveformType = "STEPOFF"
current = None
def currentwaveform(self, wave):
self._timeSteps = np.diff(wave[:,0])
self.current = wave[:,1]
self.waveformType = "GENERAL"
def fields(self, m): def fields(self, m):
if self.verbose: print '%s\nCalculating fields(m)\n%s'%('*'*50,'*'*50) if self.verbose: print '%s\nCalculating fields(m)\n%s'%('*'*50,'*'*50)
self.curModel = m self.curModel = m
+2 -2
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@@ -66,8 +66,8 @@ class BaseInvProblem(object):
self.curModel = m0 self.curModel = m0
print """SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv. print """SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.
***Done using same solver as the problem***""" ***Done using same Solver and solverOpts as the problem***"""
self.opt.bfgsH0 = self.prob.Solver(self.reg.eval2Deriv(self.curModel)) self.opt.bfgsH0 = self.prob.Solver(self.reg.eval2Deriv(self.curModel), **self.prob.solverOpts)
@property @property
def warmstart(self): def warmstart(self):
+15 -6
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@@ -10,21 +10,25 @@ class IdentityMap(object):
SimPEG Map SimPEG Map
""" """
__metaclass__ = Utils.SimPEGMetaClass __metaclass__ = Utils.SimPEGMetaClass
mesh = None #: A SimPEG Mesh def __init__(self, mesh=None, nP=None, **kwargs):
def __init__(self, mesh, **kwargs):
Utils.setKwargs(self, **kwargs) Utils.setKwargs(self, **kwargs)
if nP is not None:
assert type(nP) in [int, long], ' Number of parameters must be an integer.'
self.mesh = mesh self.mesh = mesh
self._nP = nP
@property @property
def nP(self): def nP(self):
""" """
:rtype: int :rtype: int
:return: number of parameters in the model :return: number of parameters that the mapping accepts
""" """
if self._nP is not None:
return self._nP
if self.mesh is None: if self.mesh is None:
return '*' return '*'
return self.mesh.nC return self.mesh.nC
@@ -32,11 +36,15 @@ class IdentityMap(object):
@property @property
def shape(self): def shape(self):
""" """
The default shape is (mesh.nC, nP). The default shape is (mesh.nC, nP) if the mesh is defined.
If this is a meshless mapping (i.e. nP is defined independently)
the shape will be the the shape (nP,nP).
:rtype: (int,int) :rtype: (int,int)
:return: shape of the operator as a tuple :return: shape of the operator as a tuple
""" """
if self._nP is not None:
return (self.nP, self.nP)
if self.mesh is None: if self.mesh is None:
return ('*', self.nP) return ('*', self.nP)
return (self.mesh.nC, self.nP) return (self.mesh.nC, self.nP)
@@ -118,6 +126,7 @@ class IdentityMap(object):
def __str__(self): def __str__(self):
return "%s(%s,%s)" % (self.__class__.__name__, self.shape[0], self.shape[1]) return "%s(%s,%s)" % (self.__class__.__name__, self.shape[0], self.shape[1])
class ComboMap(IdentityMap): class ComboMap(IdentityMap):
"""Combination of various maps.""" """Combination of various maps."""
+416
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@@ -0,0 +1,416 @@
import numpy as np, os
from SimPEG import Utils
class TensorMeshIO(object):
@classmethod
def readUBC(TensorMesh, fileName):
"""
Read UBC GIF 3DTensor mesh and generate 3D Tensor mesh in simpegTD
Input:
:param fileName, path to the UBC GIF mesh file
Output:
:param SimPEG TensorMesh object
"""
# Interal function to read cell size lines for the UBC mesh files.
def readCellLine(line):
for seg in line.split():
if '*' in seg:
st = seg
sp = seg.split('*')
re = np.array(sp[0],dtype=int)*(' ' + sp[1])
line = line.replace(st,re.strip())
return np.array(line.split(),dtype=float)
# Read the file as line strings, remove lines with comment = !
msh = np.genfromtxt(fileName,delimiter='\n',dtype=np.str,comments='!')
# Fist line is the size of the model
sizeM = np.array(msh[0].split(),dtype=float)
# Second line is the South-West-Top corner coordinates.
x0 = np.array(msh[1].split(),dtype=float)
# Read the cell sizes
h1 = readCellLine(msh[2])
h2 = readCellLine(msh[3])
h3temp = readCellLine(msh[4])
h3 = h3temp[::-1] # Invert the indexing of the vector to start from the bottom.
# Adjust the reference point to the bottom south west corner
x0[2] = x0[2] - np.sum(h3)
# Make the mesh
tensMsh = TensorMesh([h1,h2,h3],x0)
return tensMsh
@classmethod
def readVTK(TensorMesh, fileName):
"""
Read VTK Rectilinear (vtr xml file) and return SimPEG Tensor mesh and model
Input:
:param vtrFileName, path to the vtr model file to write to
Output:
:return SimPEG TensorMesh object
:return SimPEG model dictionary
"""
# Import
from vtk import vtkXMLRectilinearGridReader as vtrFileReader
from vtk.util.numpy_support import vtk_to_numpy
# Read the file
vtrReader = vtrFileReader()
vtrReader.SetFileName(fileName)
vtrReader.Update()
vtrGrid = vtrReader.GetOutput()
# Sort information
hx = np.abs(np.diff(vtk_to_numpy(vtrGrid.GetXCoordinates())))
xR = vtk_to_numpy(vtrGrid.GetXCoordinates())[0]
hy = np.abs(np.diff(vtk_to_numpy(vtrGrid.GetYCoordinates())))
yR = vtk_to_numpy(vtrGrid.GetYCoordinates())[0]
zD = np.diff(vtk_to_numpy(vtrGrid.GetZCoordinates()))
# Check the direction of hz
if np.all(zD < 0):
hz = np.abs(zD[::-1])
zR = vtk_to_numpy(vtrGrid.GetZCoordinates())[-1]
else:
hz = np.abs(zD)
zR = vtk_to_numpy(vtrGrid.GetZCoordinates())[0]
x0 = np.array([xR,yR,zR])
# Make the SimPEG object
tensMsh = TensorMesh([hx,hy,hz],x0)
# Grap the models
models = {}
for i in np.arange(vtrGrid.GetCellData().GetNumberOfArrays()):
modelName = vtrGrid.GetCellData().GetArrayName(i)
if np.all(zD < 0):
modFlip = vtk_to_numpy(vtrGrid.GetCellData().GetArray(i))
tM = tensMsh.r(modFlip,'CC','CC','M')
modArr = tensMsh.r(tM[:,:,::-1],'CC','CC','V')
else:
modArr = vtk_to_numpy(vtrGrid.GetCellData().GetArray(i))
models[modelName] = modArr
# Return the data
return tensMsh, models
def writeVTK(mesh, fileName, models=None):
"""
Makes and saves a VTK rectilinear file (vtr) for a simpeg Tensor mesh and model.
Input:
:param str, path to the output vtk file
:param mesh, SimPEG TensorMesh object - mesh to be transfer to VTK
:param models, dictionary of numpy.array - Name('s) and array('s). Match number of cells
"""
# Import
from vtk import vtkRectilinearGrid as rectGrid, vtkXMLRectilinearGridWriter as rectWriter, VTK_VERSION
from vtk.util.numpy_support import numpy_to_vtk
# Deal with dimensionalities
if mesh.dim >= 1:
vX = mesh.vectorNx
xD = mesh.nNx
yD,zD = 1,1
vY, vZ = np.array([0,0])
if mesh.dim >= 2:
vY = mesh.vectorNy
yD = mesh.nNy
if mesh.dim == 3:
vZ = mesh.vectorNz
zD = mesh.nNz
# Use rectilinear VTK grid.
# Assign the spatial information.
vtkObj = rectGrid()
vtkObj.SetDimensions(xD,yD,zD)
vtkObj.SetXCoordinates(numpy_to_vtk(vX,deep=1))
vtkObj.SetYCoordinates(numpy_to_vtk(vY,deep=1))
vtkObj.SetZCoordinates(numpy_to_vtk(vZ,deep=1))
# Assign the model('s) to the object
if models is not None:
for item in models.iteritems():
# Convert numpy array
vtkDoubleArr = numpy_to_vtk(item[1],deep=1)
vtkDoubleArr.SetName(item[0])
vtkObj.GetCellData().AddArray(vtkDoubleArr)
# Set the active scalar
vtkObj.GetCellData().SetActiveScalars(models.keys()[0])
# vtkObj.Update()
# Check the extension of the fileName
ext = os.path.splitext(fileName)[1]
if ext is '':
fileName = fileName + '.vtr'
elif ext not in '.vtr':
raise IOError('{:s} is an incorrect extension, has to be .vtr')
# Write the file.
vtrWriteFilter = rectWriter()
if float(VTK_VERSION.split('.')[0]) >=6:
vtrWriteFilter.SetInputData(vtkObj)
else:
vtuWriteFilter.SetInput(vtuObj)
vtrWriteFilter.SetFileName(fileName)
vtrWriteFilter.Update()
def readModelUBC(mesh, fileName):
"""
Read UBC 3DTensor mesh model and generate 3D Tensor mesh model in simpeg
Input:
:param fileName, path to the UBC GIF mesh file to read
:param mesh, TensorMesh object, mesh that coresponds to the model
Output:
:return numpy array, model with TensorMesh ordered
"""
f = open(fileName, 'r')
model = np.array(map(float, f.readlines()))
f.close()
model = np.reshape(model, (mesh.nCz, mesh.nCx, mesh.nCy), order = 'F')
model = model[::-1,:,:]
model = np.transpose(model, (1, 2, 0))
model = Utils.mkvc(model)
return model
def writeModelUBC(mesh, fileName, model):
"""
Writes a model associated with a SimPEG TensorMesh
to a UBC-GIF format model file.
:param str fileName: File to write to
:param simpeg.Mesh.TensorMesh mesh: The mesh
:param numpy.ndarray model: The model
"""
# Reshape model to a matrix
modelMat = mesh.r(model,'CC','CC','M')
# Transpose the axes
modelMatT = modelMat.transpose((2,0,1))
# Flip z to positive down
modelMatTR = Utils.mkvc(modelMatT[::-1,:,:])
np.savetxt(fileName, modelMatTR.ravel())
def writeUBC(mesh, fileName, models=None):
"""
Writes a SimPEG TensorMesh to a UBC-GIF format mesh file.
:param str fileName: File to write to
:param simpeg.Mesh.TensorMesh mesh: The mesh
"""
assert mesh.dim == 3
s = ''
s += '%i %i %i\n' %tuple(mesh.vnC)
origin = mesh.x0 + np.array([0,0,mesh.hz.sum()]) # Have to it in the same operation or use mesh.x0.copy(), otherwise the mesh.x0 is updated.
origin.dtype = float
s += '%.2f %.2f %.2f\n' %tuple(origin)
s += ('%.2f '*mesh.nCx+'\n')%tuple(mesh.hx)
s += ('%.2f '*mesh.nCy+'\n')%tuple(mesh.hy)
s += ('%.2f '*mesh.nCz+'\n')%tuple(mesh.hz[::-1])
f = open(fileName, 'w')
f.write(s)
f.close()
if models is None: return
assert type(models) is dict, 'models must be a dict'
for key in models:
assert type(key) is str, 'The dict key is a file name'
mesh.writeModelUBC(key, models[key])
class TreeMeshIO(object):
def writeUBC(mesh, fileName, models=None):
"""
Write UBC ocTree mesh and model files from a simpeg ocTree mesh and model.
:param str fileName: File to write to
:param simpeg.Mesh.TreeMesh mesh: The mesh
:param dictionary models: The models in a dictionary, where the keys is the name of the of the model file
"""
# Calculate information to write in the file.
# Number of cells in the underlying mesh
nCunderMesh = np.array([h.size for h in mesh.h],dtype=np.int64)
# The top-south-west most corner of the mesh
tswCorn = mesh.x0 + np.array([0,0,np.sum(mesh.h[2])])
# Smallest cell size
smallCell = np.array([h.min() for h in mesh.h])
# Number of cells
nrCells = mesh.nC
## Extract iformation about the cells.
# cell pointers
cellPointers = np.array([c._pointer for c in mesh])
# cell with
cellW = np.array([ mesh._levelWidth(i) for i in cellPointers[:,-1] ])
# Need to shift the pointers to work with UBC indexing
# UBC Octree indexes always the top-left-close (top-south-west) corner first and orders the cells in z(top-down),x,y vs x,y,z(bottom-up).
# Shift index up by 1
ubcCellPt = cellPointers[:,0:-1].copy() + np.array([1.,1.,1.])
# Need reindex the z index to be from the top-left-close corner and to be from the global top.
ubcCellPt[:,2] = ( nCunderMesh[-1] + 2) - (ubcCellPt[:,2] + cellW)
# Reorder the ubcCellPt
ubcReorder = np.argsort(ubcCellPt.view(','.join(3*['float'])),axis=0,order=['f2','f1','f0'])[:,0]
# Make a array with the pointers and the withs, that are order in the ubc ordering
indArr = np.concatenate((ubcCellPt[ubcReorder,:],cellW[ubcReorder].reshape((-1,1)) ),axis=1)
## Write the UBC octree mesh file
with open(fileName,'w') as mshOut:
mshOut.write('{:.0f} {:.0f} {:.0f}\n'.format(nCunderMesh[0],nCunderMesh[1],nCunderMesh[2]))
mshOut.write('{:.4f} {:.4f} {:.4f}\n'.format(tswCorn[0],tswCorn[1],tswCorn[2]))
mshOut.write('{:.3f} {:.3f} {:.3f}\n'.format(smallCell[0],smallCell[1],smallCell[2]))
mshOut.write('{:.0f} \n'.format(nrCells))
np.savetxt(mshOut,indArr,fmt='%i')
## Print the models
# Assign the model('s) to the object
if models is not None:
# indUBCvector = np.argsort(cX0[np.argsort(np.concatenate((cX0[:,0:2],cX0[:,2:3].max() - cX0[:,2:3]),axis=1).view(','.join(3*['float'])),axis=0,order=('f2','f1','f0'))[:,0]].view(','.join(3*['float'])),axis=0,order=('f2','f1','f0'))[:,0]
for item in models.iteritems():
# Save the data
np.savetxt(item[0],item[1][ubcReorder],fmt='%3.5e')
@classmethod
def readUBC(TreeMesh, meshFile):
"""
Read UBC 3D OcTree mesh and/or modelFiles
Input:
:param str meshFile: path to the UBC GIF OcTree mesh file to read
Output:
:return SimPEG.Mesh.TreeMesh mesh: The octree mesh
:return list of ndarray's: models as a list of numpy array's
"""
## Read the file lines
fileLines = np.genfromtxt(meshFile,dtype=str,delimiter='\n')
# Extract the data
nCunderMesh = np.array(fileLines[0].split(),dtype=float)
# I think this is the case?
if np.unique(nCunderMesh).size >1:
raise Exception('SimPEG TreeMeshes have the same number of cell in all directions')
tswCorn = np.array(fileLines[1].split(),dtype=float)
smallCell = np.array(fileLines[2].split(),dtype=float)
nrCells = np.array(fileLines[3].split(),dtype=float)
# Read the index array
indArr = np.genfromtxt(fileLines[4::],dtype=np.int)
## Calculate simpeg parameters
h1,h2,h3 = [np.ones(nr)*sz for nr,sz in zip(nCunderMesh,smallCell)]
x0 = tswCorn - np.array([0,0,np.sum(h3)])
# Need to convert the index array to a points list that complies with SimPEG TreeMesh.
# Shift to start at 0
simpegCellPt = indArr[:,0:-1].copy()
simpegCellPt[:,2] = ( nCunderMesh[-1] + 2) - (simpegCellPt[:,2] + indArr[:,3])
# Need reindex the z index to be from the bottom-left-close corner and to be from the global bottom.
simpegCellPt = simpegCellPt - np.array([1.,1.,1.])
# Calculate the cell level
simpegLevel = np.log2(np.min(nCunderMesh)) - np.log2(indArr[:,3])
# Make a pointer matrix
simpegPointers = np.concatenate((simpegCellPt,simpegLevel.reshape((-1,1))),axis=1)
## Make the tree mesh
mesh = TreeMesh([h1,h2,h3],x0)
mesh._cells = set([mesh._index(p) for p in simpegPointers.tolist()])
# Figure out the reordering
mesh._simpegReorderUBC = np.argsort(np.array([mesh._index(i) for i in simpegPointers.tolist()]))
# mesh._simpegReorderUBC = np.argsort((np.array([[1,1,1,-1]])*simpegPointers).view(','.join(4*['float'])),axis=0,order=['f3','f2','f1','f0'])[:,0]
return mesh
def readModelUBC(mesh, fileName):
"""
Read UBC OcTree model and get vector
Input:
:param fileName, path to the UBC GIF model file to read
Output:
:return numpy array, OcTree model
"""
if type(fileName) is list:
out = {}
for f in fileName:
out[f] = mesh.readModelUBC(f)
return out
assert hasattr(mesh, '_simpegReorderUBC'), 'The file must have been loaded from a UBC format.'
assert mesh.dim == 3
modList = []
modArr = np.loadtxt(fileName)
if len(modArr.shape) == 1:
modList.append(modArr[mesh._simpegReorderUBC])
else:
modList.append(modArr[mesh._simpegReorderUBC,:])
return modList
def writeVTK(mesh, fileName, models=None):
"""
Function to write a VTU file from a SimPEG TreeMesh and model.
"""
import vtk
from vtk import vtkXMLUnstructuredGridWriter as Writer, VTK_VERSION
from vtk.util.numpy_support import numpy_to_vtk, numpy_to_vtkIdTypeArray
if str(type(mesh)).split()[-1][1:-2] not in 'SimPEG.Mesh.TreeMesh.TreeMesh':
raise IOError('mesh is not a SimPEG TreeMesh.')
# Make the data parts for the vtu object
# Points
mesh.number()
ptsMat = mesh._gridN + mesh.x0
vtkPts = vtk.vtkPoints()
vtkPts.SetData(numpy_to_vtk(ptsMat,deep=True))
# Cells
cellConn = np.array([c.nodes for c in mesh],dtype=np.int64)
cellsMat = np.concatenate((np.ones((cellConn.shape[0],1),dtype=np.int64)*cellConn.shape[1],cellConn),axis=1).ravel()
cellsArr = vtk.vtkCellArray()
cellsArr.SetNumberOfCells(cellConn.shape[0])
cellsArr.SetCells(cellConn.shape[0],numpy_to_vtkIdTypeArray(cellsMat,deep=True))
# Make the object
vtuObj = vtk.vtkUnstructuredGrid()
vtuObj.SetPoints(vtkPts)
vtuObj.SetCells(vtk.VTK_VOXEL,cellsArr)
# Add the level of refinement as a cell array
cellSides = np.array([np.array(vtuObj.GetCell(i).GetBounds()).reshape((3,2)).dot(np.array([-1, 1])) for i in np.arange(vtuObj.GetNumberOfCells())])
uniqueLevel, indLevel = np.unique(np.prod(cellSides,axis=1),return_inverse=True)
refineLevelArr = numpy_to_vtk(indLevel.max() - indLevel,deep=1)
refineLevelArr.SetName('octreeLevel')
vtuObj.GetCellData().AddArray(refineLevelArr)
# Assign the model('s) to the object
if models is not None:
for item in models.iteritems():
# Convert numpy array
vtkDoubleArr = numpy_to_vtk(item[1],deep=1)
vtkDoubleArr.SetName(item[0])
vtuObj.GetCellData().AddArray(vtkDoubleArr)
# Make the writer
vtuWriteFilter = Writer()
if float(VTK_VERSION.split('.')[0]) >=6:
vtuWriteFilter.SetInputData(vtuObj)
else:
vtuWriteFilter.SetInput(vtuObj)
vtuWriteFilter.SetFileName(fileName)
# Write the file
vtuWriteFilter.Update()
+3 -2
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@@ -3,6 +3,7 @@ from BaseMesh import BaseMesh, BaseRectangularMesh
from View import TensorView from View import TensorView
from DiffOperators import DiffOperators from DiffOperators import DiffOperators
from InnerProducts import InnerProducts from InnerProducts import InnerProducts
from MeshIO import TensorMeshIO
class BaseTensorMesh(BaseMesh): class BaseTensorMesh(BaseMesh):
@@ -215,7 +216,7 @@ class BaseTensorMesh(BaseMesh):
inside = inside & (pts[:,i] >= tensor.min()-TOL) & (pts[:,i] <= tensor.max()+TOL) inside = inside & (pts[:,i] >= tensor.min()-TOL) & (pts[:,i] <= tensor.max()+TOL)
return inside return inside
def getInterpolationMat(self, loc, locType, zerosOutside=False): def getInterpolationMat(self, loc, locType='CC', zerosOutside=False):
""" Produces interpolation matrix """ Produces interpolation matrix
:param numpy.ndarray loc: Location of points to interpolate to :param numpy.ndarray loc: Location of points to interpolate to
@@ -359,7 +360,7 @@ class BaseTensorMesh(BaseMesh):
class TensorMesh(BaseTensorMesh, BaseRectangularMesh, TensorView, DiffOperators, InnerProducts): class TensorMesh(BaseTensorMesh, BaseRectangularMesh, TensorView, DiffOperators, InnerProducts, TensorMeshIO):
""" """
TensorMesh is a mesh class that deals with tensor product meshes. TensorMesh is a mesh class that deals with tensor product meshes.
+59 -123
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@@ -100,11 +100,12 @@ except Exception, e:
from InnerProducts import InnerProducts from InnerProducts import InnerProducts
from TensorMesh import TensorMesh, BaseTensorMesh from TensorMesh import TensorMesh, BaseTensorMesh
from MeshIO import TreeMeshIO
import time import time
MAX_BITS = 20 MAX_BITS = 20
class TreeMesh(BaseTensorMesh, InnerProducts): class TreeMesh(BaseTensorMesh, InnerProducts, TreeMeshIO):
_meshType = 'TREE' _meshType = 'TREE'
@@ -564,15 +565,18 @@ class TreeMesh(BaseTensorMesh, InnerProducts):
return [p - (p % mod) for p in pointer[:-1]] + [pointer[-1]-1] return [p - (p % mod) for p in pointer[:-1]] + [pointer[-1]-1]
def _cellN(self, p): def _cellN(self, p):
"""Node location [x,y(,z)] of a single cell, closest to origin, given a pointer."""
p = self._asPointer(p) p = self._asPointer(p)
return [hi[:p[ii]].sum() for ii, hi in enumerate(self.h)] return [hi[:p[ii]].sum() for ii, hi in enumerate(self.h)]
def _cellH(self, p): def _cellH(self, p):
"""Widths of a single cell given a pointer."""
p = self._asPointer(p) p = self._asPointer(p)
w = self._levelWidth(p[-1]) w = self._levelWidth(p[-1])
return [hi[p[ii]:p[ii]+w].sum() for ii, hi in enumerate(self.h)] return [hi[p[ii]:p[ii]+w].sum() for ii, hi in enumerate(self.h)]
def _cellC(self, p): def _cellC(self, p):
"""Cell center of a single cell (without origin correction), given a pointer."""
return (np.array(self._cellH(p))/2.0 + self._cellN(p)).tolist() return (np.array(self._cellH(p))/2.0 + self._cellN(p)).tolist()
def _levelWidth(self, level): def _levelWidth(self, level):
@@ -827,8 +831,10 @@ class TreeMesh(BaseTensorMesh, InnerProducts):
def _numberCells(self, force=False): def _numberCells(self, force=False):
if not self.__dirtyCells__ and not force: return if not self.__dirtyCells__ and not force: return
self._cc2i = dict() self._cc2i = dict()
self._i2cc = dict()
for ii, c in enumerate(sorted(self._cells)): for ii, c in enumerate(sorted(self._cells)):
self._cc2i[c] = ii self._cc2i[c] = ii
self._i2cc[ii] = c
self.__dirtyCells__ = False self.__dirtyCells__ = False
def _numberNodes(self, force=False): def _numberNodes(self, force=False):
@@ -1704,9 +1710,9 @@ class TreeMesh(BaseTensorMesh, InnerProducts):
"Construct the averaging operator on cell faces to cell centers." "Construct the averaging operator on cell faces to cell centers."
if getattr(self, '_aveF2CC', None) is None: if getattr(self, '_aveF2CC', None) is None:
if self.dim == 2: if self.dim == 2:
self._aveF2CC = 1./self.dim*sp.hstack([self.aveFx2CC, self.aveFy2CC]) self._aveF2CC = 1./self.dim*sp.hstack([self.aveFx2CC, self.aveFy2CC]).tocsr()
elif self.dim == 3: elif self.dim == 3:
self._aveF2CC = 1./self.dim*sp.hstack([self.aveFx2CC, self.aveFy2CC, self.aveFz2CC]) self._aveF2CC = 1./self.dim*sp.hstack([self.aveFx2CC, self.aveFy2CC, self.aveFz2CC]).tocsr()
return self._aveF2CC return self._aveF2CC
@property @property
@@ -1714,9 +1720,9 @@ class TreeMesh(BaseTensorMesh, InnerProducts):
"Construct the averaging operator on cell faces to cell centers." "Construct the averaging operator on cell faces to cell centers."
if getattr(self, '_aveF2CCV', None) is None: if getattr(self, '_aveF2CCV', None) is None:
if self.dim == 2: if self.dim == 2:
self._aveF2CCV = sp.block_diag([self.aveFx2CC, self.aveFy2CC]) self._aveF2CCV = sp.block_diag([self.aveFx2CC, self.aveFy2CC]).tocsr()
elif self.dim == 3: elif self.dim == 3:
self._aveF2CCV = sp.block_diag([self.aveFx2CC, self.aveFy2CC, self.aveFz2CC]) self._aveF2CCV = sp.block_diag([self.aveFx2CC, self.aveFy2CC, self.aveFz2CC]).tocsr()
return self._aveF2CCV return self._aveF2CCV
@property @property
@@ -2218,6 +2224,25 @@ class TreeMesh(BaseTensorMesh, InnerProducts):
if showIt: plt.show() if showIt: plt.show()
return tuple(out) return tuple(out)
def __len__(self): return self.nC
def __getitem__(self, key):
if isinstance( key, slice ) :
#Get the start, stop, and step from the slice
return [self[ii] for ii in xrange(*key.indices(len(self)))]
elif isinstance( key, int ) :
if key < 0 : #Handle negative indices
key += len( self )
if key >= len( self ) :
raise IndexError, "The index (%d) is out of range."%key
self._numberCells() # no-op if numbered
index = self._i2cc[key]
pointer = self._asPointer(index)
return Cell(self, index, pointer)
else:
raise TypeError, "Invalid argument type."
class Cell(object): class Cell(object):
def __init__(self, mesh, index, pointer): def __init__(self, mesh, index, pointer):
@@ -2225,6 +2250,35 @@ class Cell(object):
self._index = index self._index = index
self._pointer = pointer self._pointer = pointer
@property
def nodes(self):
"""The node index in _gridN (this may include hanging nodes)."""
M = self.mesh
M._numberNodes()
p = self._pointer
i = self._index
w = M._levelWidth(p[-1])
if M.dim == 2:
n = [
i,
M._index([ p[0] + w, p[1] , p[2]]),
M._index([ p[0] , p[1]+ w, p[2]]),
M._index([ p[0] + w, p[1]+ w, p[2]]),
]
elif self.dim == 3:
n = [
i,
M._index([ p[0] + w, p[1] , p[2] ,p[3]]),
M._index([ p[0] , p[1] + w, p[2] ,p[3]]),
M._index([ p[0] + w, p[1] + w, p[2] ,p[3]]),
M._index([ p[0] , p[1] , p[2] + w,p[3]]),
M._index([ p[0] + w, p[1] , p[2] + w,p[3]]),
M._index([ p[0] , p[1] + w, p[2] + w,p[3]]),
M._index([ p[0] + w, p[1] + w, p[2] + w,p[3]]),
]
return [M._n2i[_] for _ in n]
@property @property
def center(self): def center(self):
if getattr(self, '_center', None) is None: if getattr(self, '_center', None) is None:
@@ -2282,121 +2336,3 @@ class NotBalancedException(TreeException):
pass pass
class CellLookUpException(TreeException): class CellLookUpException(TreeException):
pass pass
if __name__ == '__main__':
import matplotlib.pyplot as plt
import matplotlib
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.colors as colors
import matplotlib.cm as cmx
def topo(x):
return np.sin(x*(2.*np.pi))*0.3 + 0.5
def function(cell):
r = cell.center - np.array([0.5]*len(cell.center))
dist = np.sqrt(r.dot(r))
# dist2 = np.abs(cell.center[-1] - topo(cell.center[0]))
# dist = min([dist1,dist2])
# if dist < 0.05:
# return 5
if dist < 0.1:
return 5
if dist < 0.2:
return 4
if dist < 0.4:
return 3
return 2
# T = TreeMesh([[(1,128)],[(1,128)],[(1,128)]],levels=7)
# T = TreeMesh([128,128,128])
# T = TreeMesh([64,64],levels=6)
T = TreeMesh([4,4,4])
# T = TreeMesh([[(1,128)],[(1,128)]],levels=7)
# T.refine(lambda xc:2, balance=False)
# T._index([0,0,0])
# T._pointer(0)
# tic = time.time()
T.refine(function)#, balance=False)
# print time.time() - tic
# print T.nC
T.plotSlice(np.log(T.vol))#np.random.rand(T.nC))
plt.show()
blah
# T.plotImage(np.arange(len(T.vol)),showIt=True)
# print T.getFaceInnerProduct()
# print T.gridFz
# T._refineCell([8,0,1])
# T._refineCell([8,0,2])
# T._refineCell([12,0,2])
# T._refineCell([8,4,2])
# T._refineCell([6,0,3])
# T._refineCell([8,8,1])
# T._refineCell([0,0,0,1])
# T.__dirty__ = True
# print T.gridFx.shape[0], T.nFx
ax = plt.subplot(211)
ax.spy(T.edgeCurl)
# print Mesh.TensorMesh([2,2,2]).edgeCurl.todense()
# print T.edgeCurl.todense()
# print Mesh.TensorMesh([2,2,2]).edgeCurl.todense() - T.edgeCurl.todense()
# print T.gridEy - Mesh.TensorMesh([2,2,2]).gridEy
# print T.edge
# T.plotGrid(ax=ax)
# R = deflationMatrix(T._facesX, T._hangingFx, T._fx2i)
# print R
ax = plt.subplot(212)#, projection='3d')
ax.spy(Mesh.TensorMesh([2,2,2]).edgeCurl)
# ax = plt.subplot(313)
# ax.spy(T.faceDiv[:,:T.nFx] * R)
# T.balance()
# T.plotGrid(ax=ax)
# cx = T._getNextCell([0,0,1],direction=0,positive=True)
# print cx
# # print [T._asPointer(_) for _ in cx]
# cx = T._getNextCell([8,0,3],direction=0,positive=False)
# print T._asPointer(cx)
# cx = T._getNextCell([8,8,1],direction=1,positive=False)
# print cx, #[T._asPointer(_) for _ in cx]
# cm = T._getNextCell([64,80,4],direction=0,positive=False)
# cy = T._getNextCell([64,80,4],direction=1,positive=True)
# cp = T._getNextCell([64,80,4],direction=1,positive=False)
# ax.plot( T._cellN([4,0,1])[0],T._cellN([4,0,1])[1], 'yd')
# ax.plot( T._cellN(cx)[0],T._cellN(cx)[1], 'ys')
# ax.plot( T._cellN(cm)[0],T._cellN(cm)[1], 'ys')
# ax.plot( T._cellN(cy)[0],T._cellN(cy)[1], 'ys')
# ax.plot( T._cellN(cp[0])[0],T._cellN(cp[0])[1], 'ys')
# ax.plot( T._cellN(cp[1])[0],T._cellN(cp[1])[1], 'ys')
# print T.nN
plt.show()
-8
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@@ -159,9 +159,6 @@ class BaseProblem(object):
class BaseTimeProblem(BaseProblem): class BaseTimeProblem(BaseProblem):
"""Sets up that basic needs of a time domain problem.""" """Sets up that basic needs of a time domain problem."""
waveformType = "STEPOFF"
current = None
@property @property
def timeSteps(self): def timeSteps(self):
"""Sets/gets the timeSteps for the time domain problem. """Sets/gets the timeSteps for the time domain problem.
@@ -187,11 +184,6 @@ class BaseTimeProblem(BaseProblem):
self._timeSteps = Utils.meshTensor(value) self._timeSteps = Utils.meshTensor(value)
del self.timeMesh del self.timeMesh
def currentwaveform(self, wave):
self._timeSteps = np.diff(wave[:,0])
self.current = wave[:,1]
self.waveformType = "GENERAL"
@property @property
def nT(self): def nT(self):
"Number of time steps." "Number of time steps."
+44 -5
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@@ -20,12 +20,13 @@ class BaseRegularization(object):
mesh = None #: A SimPEG.Mesh instance. mesh = None #: A SimPEG.Mesh instance.
mref = None #: Reference model. mref = None #: Reference model.
def __init__(self, mesh, mapping=None, **kwargs): def __init__(self, mesh, mapping=None, indActive=None, **kwargs):
Utils.setKwargs(self, **kwargs) Utils.setKwargs(self, **kwargs)
self.mesh = mesh self.mesh = mesh
assert isinstance(mesh, Mesh.BaseMesh), "mesh must be a SimPEG.Mesh object." assert isinstance(mesh, Mesh.BaseMesh), "mesh must be a SimPEG.Mesh object."
self.mapping = mapping or self.mapPair(mesh) self.mapping = mapping or self.mapPair(mesh)
self.mapping._assertMatchesPair(self.mapPair) self.mapping._assertMatchesPair(self.mapPair)
self.indActive = indActive
@property @property
def parent(self): def parent(self):
@@ -112,8 +113,6 @@ class BaseRegularization(object):
return mD.T * ( self.W.T * ( self.W * ( mD * v) ) ) return mD.T * ( self.W.T * ( self.W * ( mD * v) ) )
class Tikhonov(BaseRegularization): class Tikhonov(BaseRegularization):
""" """
""" """
@@ -126,14 +125,18 @@ class Tikhonov(BaseRegularization):
alpha_yy = Utils.dependentProperty('_alpha_yy', 0.0, ['_W', '_Wyy'], "Weight for the second derivative in the y direction") alpha_yy = Utils.dependentProperty('_alpha_yy', 0.0, ['_W', '_Wyy'], "Weight for the second derivative in the y direction")
alpha_zz = Utils.dependentProperty('_alpha_zz', 0.0, ['_W', '_Wzz'], "Weight for the second derivative in the z direction") alpha_zz = Utils.dependentProperty('_alpha_zz', 0.0, ['_W', '_Wzz'], "Weight for the second derivative in the z direction")
def __init__(self, mesh, mapping=None, **kwargs): def __init__(self, mesh, mapping=None, indActive = None, **kwargs):
BaseRegularization.__init__(self, mesh, mapping=mapping, **kwargs) BaseRegularization.__init__(self, mesh, mapping=mapping, **kwargs)
self.indActive = indActive
@property @property
def Ws(self): def Ws(self):
"""Regularization matrix Ws""" """Regularization matrix Ws"""
if getattr(self,'_Ws', None) is None: if getattr(self,'_Ws', None) is None:
self._Ws = Utils.sdiag((self.mesh.vol*self.alpha_s)**0.5) self._Ws = Utils.sdiag((self.mesh.vol*self.alpha_s)**0.5)
if self.indActive is not None:
Pac = Utils.speye(self.mesh.nC)[:,self.indActive]
self._Ws = Pac.T * self._Ws * Pac
return self._Ws return self._Ws
@property @property
@@ -142,6 +145,13 @@ class Tikhonov(BaseRegularization):
if getattr(self, '_Wx', None) is None: if getattr(self, '_Wx', None) is None:
Ave_x_vol = self.mesh.aveF2CC[:,:self.mesh.nFx].T*self.mesh.vol Ave_x_vol = self.mesh.aveF2CC[:,:self.mesh.nFx].T*self.mesh.vol
self._Wx = Utils.sdiag((Ave_x_vol*self.alpha_x)**0.5)*self.mesh.cellGradx self._Wx = Utils.sdiag((Ave_x_vol*self.alpha_x)**0.5)*self.mesh.cellGradx
if self.indActive is not None:
indActive_Fx = (self.mesh.aveFx2CC.T * self.indActive) == 1
Pac = Utils.speye(self.mesh.nC)[:,self.indActive]
Pafx = Utils.speye(self.mesh.nFx)[:,indActive_Fx]
self._Wx = Pafx.T*self._Wx*Pac
return self._Wx return self._Wx
@property @property
@@ -150,6 +160,13 @@ class Tikhonov(BaseRegularization):
if getattr(self, '_Wy', None) is None: if getattr(self, '_Wy', None) is None:
Ave_y_vol = self.mesh.aveF2CC[:,self.mesh.nFx:np.sum(self.mesh.vnF[:2])].T*self.mesh.vol Ave_y_vol = self.mesh.aveF2CC[:,self.mesh.nFx:np.sum(self.mesh.vnF[:2])].T*self.mesh.vol
self._Wy = Utils.sdiag((Ave_y_vol*self.alpha_y)**0.5)*self.mesh.cellGrady self._Wy = Utils.sdiag((Ave_y_vol*self.alpha_y)**0.5)*self.mesh.cellGrady
if self.indActive is not None:
indActive_Fy = (self.mesh.aveFy2CC.T * self.indActive) == 1
Pac = Utils.speye(self.mesh.nC)[:,self.indActive]
Pafy = Utils.speye(self.mesh.nFy)[:,indActive_Fy]
self._Wy = Pafy.T*self._Wy*Pac
return self._Wy return self._Wy
@property @property
@@ -158,6 +175,13 @@ class Tikhonov(BaseRegularization):
if getattr(self, '_Wz', None) is None: if getattr(self, '_Wz', None) is None:
Ave_z_vol = self.mesh.aveF2CC[:,np.sum(self.mesh.vnF[:2]):].T*self.mesh.vol Ave_z_vol = self.mesh.aveF2CC[:,np.sum(self.mesh.vnF[:2]):].T*self.mesh.vol
self._Wz = Utils.sdiag((Ave_z_vol*self.alpha_z)**0.5)*self.mesh.cellGradz self._Wz = Utils.sdiag((Ave_z_vol*self.alpha_z)**0.5)*self.mesh.cellGradz
if self.indActive is not None:
indActive_Fz = (self.mesh.aveFz2CC.T * self.indActive) == 1
Pac = Utils.speye(self.mesh.nC)[:,self.indActive]
Pafz = Utils.speye(self.mesh.nFz)[:,indActive_Fz]
self._Wz = Pafz.T*self._Wz*Pac
return self._Wz return self._Wz
@property @property
@@ -165,6 +189,11 @@ class Tikhonov(BaseRegularization):
"""Regularization matrix Wxx""" """Regularization matrix Wxx"""
if getattr(self, '_Wxx', None) is None: if getattr(self, '_Wxx', None) is None:
self._Wxx = Utils.sdiag((self.mesh.vol*self.alpha_xx)**0.5)*self.mesh.faceDivx*self.mesh.cellGradx self._Wxx = Utils.sdiag((self.mesh.vol*self.alpha_xx)**0.5)*self.mesh.faceDivx*self.mesh.cellGradx
if self.indActive is not None:
Pac = Utils.speye(self.mesh.nC)[:,self.indActive]
self._Wxx = Pac.T*self._Wxx*Pac
return self._Wxx return self._Wxx
@property @property
@@ -172,6 +201,11 @@ class Tikhonov(BaseRegularization):
"""Regularization matrix Wyy""" """Regularization matrix Wyy"""
if getattr(self, '_Wyy', None) is None: if getattr(self, '_Wyy', None) is None:
self._Wyy = Utils.sdiag((self.mesh.vol*self.alpha_yy)**0.5)*self.mesh.faceDivy*self.mesh.cellGrady self._Wyy = Utils.sdiag((self.mesh.vol*self.alpha_yy)**0.5)*self.mesh.faceDivy*self.mesh.cellGrady
if self.indActive is not None:
Pac = Utils.speye(self.mesh.nC)[:,self.indActive]
self._Wyy = Pac.T*self._Wyy*Pac
return self._Wyy return self._Wyy
@property @property
@@ -179,6 +213,11 @@ class Tikhonov(BaseRegularization):
"""Regularization matrix Wzz""" """Regularization matrix Wzz"""
if getattr(self, '_Wzz', None) is None: if getattr(self, '_Wzz', None) is None:
self._Wzz = Utils.sdiag((self.mesh.vol*self.alpha_zz)**0.5)*self.mesh.faceDivz*self.mesh.cellGradz self._Wzz = Utils.sdiag((self.mesh.vol*self.alpha_zz)**0.5)*self.mesh.faceDivz*self.mesh.cellGradz
if self.indActive is not None:
Pac = Utils.speye(self.mesh.nC)[:,self.indActive]
self._Wzz = Pac.T*self._Wzz*Pac
return self._Wzz return self._Wzz
@property @property
+17 -4
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@@ -26,7 +26,14 @@ def SolverWrapD(fun, factorize=True, checkAccuracy=True, accuracyTol=1e-6):
def __init__(self, A, **kwargs): def __init__(self, A, **kwargs):
self.A = A.tocsc() self.A = A.tocsc()
self.checkAccuracy = kwargs.get("checkAccuracy", checkAccuracy)
if kwargs.has_key("checkAccuracy"): del kwargs["checkAccuracy"]
self.accuracyTol = kwargs.get("accuracyTol", accuracyTol)
if kwargs.has_key("accuracyTol"): del kwargs["accuracyTol"]
self.kwargs = kwargs self.kwargs = kwargs
if factorize: if factorize:
self.solver = fun(self.A, **kwargs) self.solver = fun(self.A, **kwargs)
@@ -57,8 +64,8 @@ def SolverWrapD(fun, factorize=True, checkAccuracy=True, accuracyTol=1e-6):
else: else:
X[:,i] = fun(self.A, b[:,i], **self.kwargs) X[:,i] = fun(self.A, b[:,i], **self.kwargs)
if checkAccuracy: if self.checkAccuracy:
_checkAccuracy(self.A, b, X, accuracyTol) _checkAccuracy(self.A, b, X, self.accuracyTol)
return X return X
def clean(self): def clean(self):
@@ -81,6 +88,12 @@ def SolverWrapI(fun, checkAccuracy=True, accuracyTol=1e-5):
def __init__(self, A, **kwargs): def __init__(self, A, **kwargs):
self.A = A self.A = A
self.checkAccuracy = kwargs.get("checkAccuracy", checkAccuracy)
if kwargs.has_key("checkAccuracy"): del kwargs["checkAccuracy"]
self.accuracyTol = kwargs.get("accuracyTol", accuracyTol)
if kwargs.has_key("accuracyTol"): del kwargs["accuracyTol"]
self.kwargs = kwargs self.kwargs = kwargs
def __mul__(self, b): def __mul__(self, b):
@@ -108,8 +121,8 @@ def SolverWrapI(fun, checkAccuracy=True, accuracyTol=1e-5):
else: else:
X[:,i] = out X[:,i] = out
if checkAccuracy: if self.checkAccuracy:
_checkAccuracy(self.A, b, X, accuracyTol) _checkAccuracy(self.A, b, X, self.accuracyTol)
return X return X
def clean(self): def clean(self):
+1 -1
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@@ -1,6 +1,6 @@
from matutils import * from matutils import *
from codeutils import * from codeutils import *
from meshutils import exampleLrmGrid, meshTensor, closestPoints, readUBCTensorMesh, writeUBCTensorMesh, writeUBCTensorModel, readVTRFile, writeVTRFile from meshutils import *
from curvutils import volTetra, faceInfo, indexCube from curvutils import volTetra, faceInfo, indexCube
from interputils import interpmat from interputils import interpmat
from CounterUtils import * from CounterUtils import *
+1 -1
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@@ -17,7 +17,7 @@ def memProfileWrapper(towrap, *funNames):
For example:: For example::
foo_mem = memProfile(foo,'my_func') foo_mem = memProfileWrapper(foo,['my_func'])
fooi = foo_mem() fooi = foo_mem()
for i in range(5): for i in range(5):
fooi.my_func() fooi.my_func()
-217
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@@ -102,223 +102,6 @@ def closestPoints(mesh, pts, gridLoc='CC'):
return nodeInds return nodeInds
def readUBCTensorMesh(fileName):
"""
Read UBC GIF 3DTensor mesh and generate 3D Tensor mesh in simpegTD
Input:
:param fileName, path to the UBC GIF mesh file
Output:
:param SimPEG TensorMesh object
:return
"""
# Interal function to read cell size lines for the UBC mesh files.
def readCellLine(line):
for seg in line.split():
if '*' in seg:
st = seg
sp = seg.split('*')
re = np.array(sp[0],dtype=int)*(' ' + sp[1])
line = line.replace(st,re.strip())
return np.array(line.split(),dtype=float)
# Read the file as line strings, remove lines with comment = !
msh = np.genfromtxt(fileName,delimiter='\n',dtype=np.str,comments='!')
# Fist line is the size of the model
sizeM = np.array(msh[0].split(),dtype=float)
# Second line is the South-West-Top corner coordinates.
x0 = np.array(msh[1].split(),dtype=float)
# Read the cell sizes
h1 = readCellLine(msh[2])
h2 = readCellLine(msh[3])
h3temp = readCellLine(msh[4])
h3 = h3temp[::-1] # Invert the indexing of the vector to start from the bottom.
# Adjust the reference point to the bottom south west corner
x0[2] = x0[2] - np.sum(h3)
# Make the mesh
from SimPEG import Mesh
tensMsh = Mesh.TensorMesh([h1,h2,h3],x0)
return tensMsh
def readUBCTensorModel(fileName, mesh):
"""
Read UBC 3DTensor mesh model and generate 3D Tensor mesh model in simpeg
Input:
:param fileName, path to the UBC GIF mesh file to read
:param mesh, TensorMesh object, mesh that coresponds to the model
Output:
:return numpy array, model with TensorMesh ordered
"""
f = open(fileName, 'r')
model = np.array(map(float, f.readlines()))
f.close()
model = np.reshape(model, (mesh.nCz, mesh.nCx, mesh.nCy), order = 'F')
model = model[::-1,:,:]
model = np.transpose(model, (1, 2, 0))
model = mkvc(model)
return model
def writeUBCTensorMesh(fileName, mesh):
"""
Writes a SimPEG TensorMesh to a UBC-GIF format mesh file.
:param str fileName: File to write to
:param simpeg.Mesh.TensorMesh mesh: The mesh
"""
assert mesh.dim == 3
s = ''
s += '%i %i %i\n' %tuple(mesh.vnC)
origin = mesh.x0 + np.array([0,0,mesh.hz.sum()]) # Have to it in the same operation or use mesh.x0.copy(), otherwise the mesh.x0 is updated.
origin.dtype = float
s += '%.2f %.2f %.2f\n' %tuple(origin)
s += ('%.2f '*mesh.nCx+'\n')%tuple(mesh.hx)
s += ('%.2f '*mesh.nCy+'\n')%tuple(mesh.hy)
s += ('%.2f '*mesh.nCz+'\n')%tuple(mesh.hz[::-1])
f = open(fileName, 'w')
f.write(s)
f.close()
def writeUBCTensorModel(fileName, mesh, model):
"""
Writes a model associated with a SimPEG TensorMesh
to a UBC-GIF format model file.
:param str fileName: File to write to
:param simpeg.Mesh.TensorMesh mesh: The mesh
:param numpy.ndarray model: The model
"""
# Reshape model to a matrix
modelMat = mesh.r(model,'CC','CC','M')
# Transpose the axes
modelMatT = modelMat.transpose((2,0,1))
# Flip z to positive down
modelMatTR = mkvc(modelMatT[::-1,:,:])
np.savetxt(fileName, modelMatTR.ravel())
def readVTRFile(fileName):
"""
Read VTK Rectilinear (vtr xml file) and return SimPEG Tensor mesh and model
Input:
:param vtrFileName, path to the vtr model file to write to
Output:
:return SimPEG TensorMesh object
:return SimPEG model dictionary
"""
# Import
from vtk import vtkXMLRectilinearGridReader as vtrFileReader
from vtk.util.numpy_support import vtk_to_numpy
# Read the file
vtrReader = vtrFileReader()
vtrReader.SetFileName(fileName)
vtrReader.Update()
vtrGrid = vtrReader.GetOutput()
# Sort information
hx = np.abs(np.diff(vtk_to_numpy(vtrGrid.GetXCoordinates())))
xR = vtk_to_numpy(vtrGrid.GetXCoordinates())[0]
hy = np.abs(np.diff(vtk_to_numpy(vtrGrid.GetYCoordinates())))
yR = vtk_to_numpy(vtrGrid.GetYCoordinates())[0]
zD = np.diff(vtk_to_numpy(vtrGrid.GetZCoordinates()))
# Check the direction of hz
if np.all(zD < 0):
hz = np.abs(zD[::-1])
zR = vtk_to_numpy(vtrGrid.GetZCoordinates())[-1]
else:
hz = np.abs(zD)
zR = vtk_to_numpy(vtrGrid.GetZCoordinates())[0]
x0 = np.array([xR,yR,zR])
# Make the SimPEG object
from SimPEG import Mesh
tensMsh = Mesh.TensorMesh([hx,hy,hz],x0)
# Grap the models
modelDict = {}
for i in np.arange(vtrGrid.GetCellData().GetNumberOfArrays()):
modelName = vtrGrid.GetCellData().GetArrayName(i)
if np.all(zD < 0):
modFlip = vtk_to_numpy(vtrGrid.GetCellData().GetArray(i))
tM = tensMsh.r(modFlip,'CC','CC','M')
modArr = tensMsh.r(tM[:,:,::-1],'CC','CC','V')
else:
modArr = vtk_to_numpy(vtrGrid.GetCellData().GetArray(i))
modelDict[modelName] = modArr
# Return the data
return tensMsh, modelDict
def writeVTRFile(fileName,mesh,model=None):
"""
Makes and saves a VTK rectilinear file (vtr) for a simpeg Tensor mesh and model.
Input:
:param str, path to the output vtk file
:param mesh, SimPEG TensorMesh object - mesh to be transfer to VTK
:param model, dictionary of numpy.array - Name('s) and array('s). Match number of cells
"""
# Import
from vtk import vtkRectilinearGrid as rectGrid, vtkXMLRectilinearGridWriter as rectWriter
from vtk.util.numpy_support import numpy_to_vtk
# Deal with dimensionalities
if mesh.dim >= 1:
vX = mesh.vectorNx
xD = mesh.nNx
yD,zD = 1,1
vY, vZ = np.array([0,0])
if mesh.dim >= 2:
vY = mesh.vectorNy
yD = mesh.nNy
if mesh.dim == 3:
vZ = mesh.vectorNz
zD = mesh.nNz
# Use rectilinear VTK grid.
# Assign the spatial information.
vtkObj = rectGrid()
vtkObj.SetDimensions(xD,yD,zD)
vtkObj.SetXCoordinates(numpy_to_vtk(vX,deep=1))
vtkObj.SetYCoordinates(numpy_to_vtk(vY,deep=1))
vtkObj.SetZCoordinates(numpy_to_vtk(vZ,deep=1))
# Assign the model('s) to the object
for item in model.iteritems():
# Convert numpy array
vtkDoubleArr = numpy_to_vtk(item[1],deep=1)
vtkDoubleArr.SetName(item[0])
vtkObj.GetCellData().AddArray(vtkDoubleArr)
# Set the active scalar
vtkObj.GetCellData().SetActiveScalars(model.keys()[0])
vtkObj.Update()
# Check the extension of the fileName
ext = os.path.splitext(fileName)[1]
if ext is '':
fileName = fileName + '.vtr'
elif ext not in '.vtr':
raise IOError('{:s} is an incorrect extension, has to be .vtr')
# Write the file.
vtrWriteFilter = rectWriter()
vtrWriteFilter.SetInput(vtkObj)
vtrWriteFilter.SetFileName(fileName)
vtrWriteFilter.Update()
def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'): def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'):
""" """
Extracts Core Mesh from Global mesh Extracts Core Mesh from Global mesh
+1 -1
View File
@@ -41,7 +41,7 @@ Here we reproduce the results from Celia et al. (1990):
Richards Richards
======== ========
.. automodule:: simpegFLOW.Richards.Empirical .. automodule:: SimPEG.FLOW.Richards.Empirical
:show-inheritance: :show-inheritance:
:members: :members:
:undoc-members: :undoc-members:
+63 -12
View File
@@ -4,11 +4,17 @@ from SimPEG import *
from scipy.sparse.linalg import dsolve from scipy.sparse.linalg import dsolve
import inspect import inspect
TOL = 1e-20
class RegularizationTests(unittest.TestCase): class RegularizationTests(unittest.TestCase):
def setUp(self): def setUp(self):
self.mesh2 = Mesh.TensorMesh([3, 2]) hx, hy, hz = np.random.rand(10), np.random.rand(9), np.random.rand(8)
hx, hy, hz = hx/hx.sum(), hy/hy.sum(), hz/hz.sum()
mesh1 = Mesh.TensorMesh([hx])
mesh2 = Mesh.TensorMesh([hx, hy])
mesh3 = Mesh.TensorMesh([hx, hy, hz])
self.meshlist = [mesh1,mesh2, mesh3]
def test_regularization(self): def test_regularization(self):
for R in dir(Regularization): for R in dir(Regularization):
@@ -16,18 +22,63 @@ class RegularizationTests(unittest.TestCase):
if not inspect.isclass(r): continue if not inspect.isclass(r): continue
if not issubclass(r, Regularization.BaseRegularization): if not issubclass(r, Regularization.BaseRegularization):
continue continue
# if 'Regularization' not in R: continue
mapping = r.mapPair(self.mesh2)
reg = r(self.mesh2, mapping=mapping)
m = np.random.rand(mapping.nP)
reg.mref = m[:]*np.mean(m)
print 'Check:', R for i, mesh in enumerate(self.meshlist):
passed = Tests.checkDerivative(lambda m : [reg.eval(m), reg.evalDeriv(m)], m, plotIt=False)
self.assertTrue(passed) print 'Testing %iD'%mesh.dim
print 'Check 2 Deriv:', R
passed = Tests.checkDerivative(lambda m : [reg.evalDeriv(m), reg.eval2Deriv(m)], m, plotIt=False) mapping = r.mapPair(mesh)
self.assertTrue(passed) reg = r(mesh, mapping=mapping)
m = np.random.rand(mapping.nP)
reg.mref = np.ones_like(m)*np.mean(m)
print 'Check: phi_m (mref) = %f' %reg.eval(reg.mref)
passed = reg.eval(reg.mref) < TOL
self.assertTrue(passed)
print 'Check:', R
passed = Tests.checkDerivative(lambda m : [reg.eval(m), reg.evalDeriv(m)], m, plotIt=False)
self.assertTrue(passed)
print 'Check 2 Deriv:', R
passed = Tests.checkDerivative(lambda m : [reg.evalDeriv(m), reg.eval2Deriv(m)], m, plotIt=False)
self.assertTrue(passed)
def test_regularization_ActiveCells(self):
for R in dir(Regularization):
r = getattr(Regularization, R)
if not inspect.isclass(r): continue
if not issubclass(r, Regularization.BaseRegularization):
continue
for i, mesh in enumerate(self.meshlist):
print 'Testing Active Cells %iD'%(mesh.dim)
if mesh.dim == 1:
indAct = Utils.mkvc(mesh.gridCC <= 0.8)
elif mesh.dim == 2:
indAct = Utils.mkvc(mesh.gridCC[:,-1] <= 2*np.sin(2*np.pi*mesh.gridCC[:,0])+0.5)
elif mesh.dim == 3:
indAct = Utils.mkvc(mesh.gridCC[:,-1] <= 2*np.sin(2*np.pi*mesh.gridCC[:,0])+0.5 * 2*np.sin(2*np.pi*mesh.gridCC[:,1])+0.5)
mapping = Maps.IdentityMap(nP=indAct.nonzero()[0].size)
reg = r(mesh, mapping=mapping, indActive=indAct)
m = np.random.rand(mesh.nC)[indAct]
reg.mref = np.ones_like(m)*np.mean(m)
print 'Check: phi_m (mref) = %f' %reg.eval(reg.mref)
passed = reg.eval(reg.mref) < TOL
self.assertTrue(passed)
print 'Check:', R
passed = Tests.checkDerivative(lambda m : [reg.eval(m), reg.evalDeriv(m)], m, plotIt=False)
self.assertTrue(passed)
print 'Check 2 Deriv:', R
passed = Tests.checkDerivative(lambda m : [reg.evalDeriv(m), reg.eval2Deriv(m)], m, plotIt=False)
self.assertTrue(passed)
if __name__ == '__main__': if __name__ == '__main__':
+100
View File
@@ -0,0 +1,100 @@
import numpy as np
import unittest, os
import SimPEG as simpeg
from SimPEG.Mesh import TensorMesh, TreeMesh
class TestTensorMeshIO(unittest.TestCase):
def setUp(self):
h = np.ones(16)
mesh = TensorMesh([h,2*h,3*h])
self.mesh = mesh
def test_UBCfiles(self):
mesh = self.mesh
# Make a vector
vec = np.arange(mesh.nC)
# Write and read
mesh.writeUBC('temp.msh', {'arange.txt':vec})
meshUBC = TensorMesh.readUBC('temp.msh')
vecUBC = meshUBC.readModelUBC('arange.txt')
# The mesh
assert mesh.__str__() == meshUBC.__str__()
assert np.sum(mesh.gridCC - meshUBC.gridCC) == 0
assert np.sum(vec - vecUBC) == 0
assert np.all(np.array(mesh.h) - np.array(meshUBC.h) == 0)
vecUBC = mesh.readModelUBC('arange.txt')
assert np.sum(vec - vecUBC) == 0
mesh.writeModelUBC('arange2.txt', vec + 1)
vec2UBC = mesh.readModelUBC('arange2.txt')
assert np.sum(vec + 1 - vec2UBC) == 0
print 'IO of UBC tensor mesh files is working'
os.remove('temp.msh')
os.remove('arange.txt')
os.remove('arange2.txt')
def test_VTKfiles(self):
mesh = self.mesh
vec = np.arange(mesh.nC)
mesh.writeVTK('temp.vtr', {'arange.txt':vec})
meshVTR, models = TensorMesh.readVTK('temp.vtr')
assert mesh.__str__() == meshVTR.__str__()
assert np.all(np.array(mesh.h) - np.array(meshVTR.h) == 0)
assert 'arange.txt' in models
vecVTK = models['arange.txt']
assert np.sum(vec - vecVTK) == 0
print 'IO of VTR tensor mesh files is working'
os.remove('temp.vtr')
class TestOcTreeMeshIO(unittest.TestCase):
def setUp(self):
h = np.ones(16)
mesh = TreeMesh([h,2*h,3*h])
mesh.refine(3)
mesh._refineCell([0,0,0,3])
mesh._refineCell([0,2,0,3])
self.mesh = mesh
def test_UBCfiles(self):
mesh = self.mesh
# Make a vector
vec = np.arange(mesh.nC)
# Write and read
mesh.writeUBC('temp.msh', {'arange.txt':vec})
meshUBC = TreeMesh.readUBC('temp.msh')
vecUBC = meshUBC.readModelUBC('arange.txt')
# The mesh
assert mesh.__str__() == meshUBC.__str__()
assert np.sum(mesh.gridCC - meshUBC.gridCC) == 0
assert np.sum(vec - vecUBC) == 0
assert np.all(np.array(mesh.h) - np.array(meshUBC.h) == 0)
print 'IO of UBC octree files is working'
os.remove('temp.msh')
os.remove('arange.txt')
def test_VTUfiles(self):
mesh = self.mesh
vec = np.arange(mesh.nC)
mesh.writeVTK('temp.vtu',{'arange':vec})
print 'Writing of VTU files is working'
os.remove('temp.vtu')
if __name__ == '__main__':
unittest.main()
+21
View File
@@ -26,6 +26,27 @@ class TestSimpleQuadTree(unittest.TestCase):
assert np.allclose(np.r_[M._areaFxFull, M._areaFyFull], M._deflationMatrix('F') * M.area) assert np.allclose(np.r_[M._areaFxFull, M._areaFyFull], M._deflationMatrix('F') * M.area)
def test_getitem(self):
M = Mesh.TreeMesh([4,4])
M.refine(1)
assert M.nC == 4
assert len(M) == M.nC
assert np.allclose(M[0].center, [0.25,0.25])
actual = [[0,0],[0.5,0],[0,0.5],[0.5,0.5]]
for i, n in enumerate(M[0].nodes):
assert np.allclose(M._gridN[n,:], actual[i])
def test_getitem3D(self):
M = Mesh.TreeMesh([4,4,4])
M.refine(1)
assert M.nC == 8
assert len(M) == M.nC
assert np.allclose(M[0].center, [0.25,0.25,0.25])
actual = [[0,0,0],[0.5,0,0],[0,0.5,0],[0.5,0.5,0],
[0,0,0.5],[0.5,0,0.5],[0,0.5,0.5],[0.5,0.5,0.5]]
for i, n in enumerate(M[0].nodes):
assert np.allclose(M._gridN[n,:], actual[i])
def test_refine(self): def test_refine(self):
M = Mesh.TreeMesh([4,4,4]) M = Mesh.TreeMesh([4,4,4])
M.refine(1) M.refine(1)