Compare commits

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Author SHA1 Message Date
Lindsey Heagy 8f1df12252 copy docs badges from readme to docs index 2016-07-21 22:30:49 -07:00
Lindsey Heagy 002554209b listing and remove wildcard inputs from tes_Mixed_boundaryPoisson 2016-07-21 22:28:20 -07:00
Lindsey Heagy 76f140f89b pep8 linting 2016-07-21 21:58:42 -07:00
Lindsey Heagy 5ce26a97ae remove wildcard imports from test_Fields 2016-07-21 21:39:11 -07:00
Lindsey Heagy a087c6e5b1 fix broken link 2016-07-21 21:34:17 -07:00
Lindsey Heagy 44ec0623d6 fixed formatting changes from quantified code, test links in docs 2016-07-21 14:38:05 -07:00
Lindsey Heagy 57d0c84b41 use @property for nodal and cell centered curvi grids 2016-07-21 13:19:23 -07:00
Lindsey Heagy a7befd6783 fix typo in cell grad 2016-07-21 12:38:21 -07:00
Lindsey Heagy 7acf46ddb8 fix typo in faceDivz 2016-07-21 12:32:49 -07:00
Lindsey Heagy b54d2494f5 add codacy to readme 2016-07-21 12:20:58 -07:00
Cody 45f5906554 Migrated % string formating 2016-07-21 12:08:19 -07:00
Lindsey Heagy 8093288391 fix double negative 2016-07-21 11:59:59 -07:00
Lindsey Heagy 7457912d84 avoid double import of numpy 2016-07-21 11:58:52 -07:00
Lindsey Heagy 910d4214b3 remove extra import of unittest 2016-07-21 11:56:49 -07:00
Lindsey Heagy 20e80ed983 use @property decorator in DiffOperators.py 2016-07-21 11:55:14 -07:00
Lindsey Heagy 3e8580f28d update readme 2016-07-21 09:59:43 -07:00
Lindsey Heagy 3ad2c98d43 use @property decorator in curve mesh (see: https://www.quantifiedcode.com/app/project/933aa3decf444538aa432c8817169b6d?groups=code_patterns%3A3bECxdfc%3Af0&tab=basics) 2016-07-21 09:58:14 -07:00
Lindsey Heagy cf34415ae8 Merge pull request #358 from simpeg/feat/codecov
Feat/codecov
2016-07-14 08:51:57 -06:00
Lindsey Heagy 09ec5621ae remove coveralls 2016-07-13 19:46:27 -07:00
Lindsey Heagy 4e583fc566 fix indentation level 2016-07-13 13:40:38 -07:00
Lindsey Heagy ea62998250 use codecov.io 2016-07-13 12:15:15 -07:00
SEOGI KANG 4796b0f91f Merge pull request #357 from simpeg/analytics
Analytics
2016-06-30 00:25:28 -07:00
seogi_macbook 52b25e2dc5 Merge branch 'dev' of https://github.com/simpeg/simpeg into analytics 2016-06-30 00:23:12 -07:00
seogi_macbook a289b656cd Fixes for kwargs variables in FDEMDipolarfields.py 2016-06-29 13:09:11 -07:00
Lindsey Heagy 334cd8e454 Bump version: 0.1.11 → 0.1.12 2016-06-29 09:49:29 -07:00
Lindsey Heagy ecbdd90f63 Merge pull request #354 from simpeg/dev
Two new examples.
2016-06-29 09:46:33 -07:00
dfournier 394dc9106a Merge pull request #332 from simpeg/ref/regularization
Automate the epsilon picking based on percentile of model values for …
2016-06-29 08:39:29 -07:00
seogi_macbook eda2394411 fix bug for omega. 2016-06-27 13:04:30 -07:00
Rowan Cockett 3deca9ed77 Merge pull request #351 from simpeg/example/mesh2mesh
Mesh2Mesh and Combo Map examples.
2016-06-26 21:22:28 -06:00
Rowan Cockett ba173674ec Mesh2Mesh and Combo Map examples.
Also fixed plotting codes to show the plots by default.
2016-06-26 17:07:07 -06:00
Rowan Cockett 303da372aa Merged branch master into dev 2016-06-26 16:31:24 -06:00
Rowan Cockett 6d6e7fc8bd Merge pull request #350 from simpeg/fix/docs-images
Update index.rst
2016-06-26 16:30:29 -06:00
Rowan Cockett 8ed3ec18fa Update README.rst 2016-06-26 16:29:20 -06:00
Rowan Cockett 3960cfc313 Update index.rst 2016-06-26 16:17:30 -06:00
Rowan Cockett 2eba0b841f Merge pull request #338 from simpeg/dev
Dev
2016-06-26 14:01:03 -06:00
sgkang c79bb998cb Merge pull request #348 from simpeg/analytics
fix minor bugs in analytics (just for binder deploy)
2016-06-23 14:14:29 -07:00
seogi_macbook 0763925743 fix minor bugs in analytics 2016-06-23 14:12:49 -07:00
sgkang 1a0b81a206 Merge pull request #341 from simpeg/analytics
Analytics
2016-06-23 11:33:33 -07:00
seogi_macbook 8b44f8d96b change FDEM_fields.py to FDEMDipolarfield.py 2016-06-23 10:14:13 -07:00
seogi_macbook 2bfd01ed7c Merge branch 'dev' of https://github.com/simpeg/simpeg into analytics 2016-06-23 10:09:56 -07:00
seogi_macbook e1ba80883d Incorporate Lindsey's suggestoins 2016-06-23 09:10:50 -07:00
Rowan Cockett a54713f546 Change to NotImplementedError. 2016-06-22 11:32:54 -06:00
Lindsey Heagy ef382aed85 Merge branch 'master' into dev 2016-06-21 18:43:28 -06:00
seogi_macbook 1b33804e5a Merge branch 'dev' of https://github.com/simpeg/simpeg into analytics 2016-06-21 11:15:23 -07:00
seogi_macbook c161c5eab2 Merge branch 'master' of https://github.com/simpeg/simpeg into analytics 2016-06-21 11:14:56 -07:00
micmitch f0944362c8 Silly mistake... needed zero arrays instead of scalars. 2016-06-14 15:22:36 -07:00
micmitch e815ddaec7 Removed d typos from the end of function names. 2016-06-14 15:15:53 -07:00
Lindsey 64b0b4561f Merge pull request #337 from simpeg/feat/docs-gae-travis-deploy
Feat/docs gae travis deploy
2016-06-13 19:16:22 -06:00
micmitch b9d30af4a8 Changed \sigma to \hat{\sigma} = \sigma + i \omega \epsilon in the E field calculations. 2016-06-13 17:47:46 -07:00
micmitch 093f441331 Added functions to split electric field into "galvanic" and "inductive" portions. 2016-06-13 17:35:52 -07:00
seogi_macbook 5e3c1da8e2 add place holder for galvanic and inductive electric fields... 2016-06-13 16:41:59 -07:00
seogi_macbook a3a5c86008 Fix couple bugs in FDEM analytics 2016-06-11 21:58:03 +02:00
Lindsey Heagy 7a82f57367 - doc the simple regularization, sparse regularization and regularization mesh
- typo fix in MT_3D_Forward example - Solver
- use EM.Static.DC for DC example
2016-06-11 08:16:22 -07:00
Lindsey Heagy 845c3c10ab version on travis commit 2016-06-11 07:48:24 -07:00
Lindsey Heagy c4d86b4a29 Merge branch 'dev' into feat/docs-gae-travis-deploy 2016-06-11 07:14:00 -07:00
Lindsey Heagy 3fc855f3c9 only push on master 2016-06-10 20:50:41 -07:00
Lindsey Heagy fea508a507 fix path to app.yaml 2016-06-10 19:39:02 -07:00
Lindsey Heagy 5ca52cf49f linting travis deploy of docs 2016-06-10 19:14:24 -07:00
Lindsey Heagy 7a06453c42 editing travis deploy 2016-06-10 18:54:31 -07:00
Lindsey Heagy 291da78b97 try deploying only from docs branch 2016-06-10 15:16:56 -07:00
Lindsey Heagy 504592c8de travis typo fixes 2016-06-01 08:12:21 -07:00
Lindsey Heagy 75647f8fc3 first pass at gae deploy 2016-06-01 00:00:27 -07:00
Lindsey Heagy e3462666bd working on travis decrypt 2016-05-31 23:27:32 -07:00
Lindsey Heagy fb37bf0fe2 move unpacking of credentials to after success, point credentials to docs folder 2016-05-31 23:15:50 -07:00
Lindsey Heagy b023adbb33 add encrypted credentials for gae site and decrypt on travis 2016-05-31 23:03:55 -07:00
Lindsey Heagy 279bd49b4c Bump version: 0.1.10 → 0.1.11 2016-05-31 15:38:05 -07:00
Lindsey Heagy 3398d5ab4d use templates in conf.py, add google analytics to docs 2016-05-31 15:33:19 -07:00
Lindsey 3e26bb7de9 Merge pull request #277 from simpeg/dev
Dev
2016-05-31 15:11:29 -07:00
Lindsey Heagy 01e19e4227 start of gae site 2016-05-30 22:01:15 -07:00
Lindsey Heagy 9fbdaaf0a5 fix typo in examples path 2016-05-30 21:12:31 -07:00
Lindsey Heagy 2a159e20b9 update docs for examples to point to the correct path 2016-05-30 20:34:10 -07:00
Lindsey Heagy 5e8d3fbc78 organizing the docs - put the content in a content folder. put the SimPEG core api docs in core_api 2016-05-30 17:06:29 -07:00
Lindsey Heagy 414418a996 Merge branch 'dev' into feat/docs-deploy
# Conflicts:
#	SimPEG/Mesh/View.py
2016-05-30 15:56:24 -07:00
Rowan Cockett 40f0874dfb Doc testing, I think that is most of them! 2016-05-29 22:18:22 -07:00
Rowan Cockett 231e6dbc93 Suppress image warning. 2016-05-29 19:22:15 -07:00
Rowan Cockett 18f98b2ecd Merge branch 'docs' of https://github.com/simpeg/simpeg into feat/docs-deploy
# Conflicts:
#	SimPEG/Utils/meshutils.py
#	docs/api_Utils.rst
#	docs/conf.py
#	docs/flow/index.rst
2016-05-29 19:18:36 -07:00
Rowan Cockett bc073e49b5 Updates to docs errors. 2016-05-29 18:57:38 -07:00
Rowan Cockett a131383dae Correct solver location. 2016-05-29 18:35:41 -07:00
Rowan Cockett ad4a0240d1 Remove Vertical1DMap from tests. 2016-05-29 18:34:17 -07:00
Rowan Cockett 74f5395573 Surject1D updates. 2016-05-29 18:25:42 -07:00
Rowan Cockett 6f7a0b1279 Rename Vertical1DMap to SurjectVertical1D due to depreciation. 2016-05-29 18:14:42 -07:00
Rowan Cockett e2bb9c8d8e rename flow example. 2016-05-29 18:12:52 -07:00
Rowan Cockett de693adaa7 Minor updates to get it 'working'
There still seems to be a problem with this example:

	- The line search breaks.
	- The plots are not informative.
	- There are a lot of errors in the structured array codes.
2016-05-29 18:04:09 -07:00
Rowan Cockett fc07993006 Spacings in functions. 2016-05-29 18:03:03 -07:00
Rowan Cockett 12a12c7b5a updates to FDEM docs. 2016-05-29 17:51:41 -07:00
Rowan Cockett 0b4215f33e Add DC and IP docs. 2016-05-29 17:45:49 -07:00
Rowan Cockett 5e2a8232a3 Minor updates to titles in examples. 2016-05-29 17:21:37 -07:00
Rowan Cockett feba384911 Add solver parameter to the Casing example. 2016-05-29 17:08:11 -07:00
Rowan Cockett 4844b7230a TOC updates for docs index. 2016-05-29 17:05:42 -07:00
micmitch 1960b52dfd First stab at analytic functions for the fields from a harmonic electric dipole source. Not sure about the exception that I try to throw if multiple frequencies and multiple evaluation locations are both specified. 2016-05-27 14:56:48 -07:00
seogi_macbook 28d67e3112 Start of ED !! 2016-05-27 11:26:47 -07:00
Lindsey Heagy 756b738ef2 Merge branch 'dev' into docs 2016-04-05 17:47:17 -07:00
Lindsey Heagy 021e7c794c Merge branch 'master' into docs
# Conflicts:
#	SimPEG/Mesh/TensorMesh.py
2016-03-29 22:53:16 -07:00
Lindsey Heagy b5b70390cb Merge branch 'dev' into docs 2016-03-06 21:50:27 -08:00
Lindsey Heagy 6acaa81faf fixed merge conflicts in FDEM docs that I missed 2016-02-09 09:03:20 -08:00
Lindsey Heagy 312b5d79c5 resolved merge conflicts in TensorMesh 2016-02-09 08:53:01 -08:00
Lindsey Heagy 999a37547e Merge branch 'dev' into docs
# Conflicts:
#	.travis.yml
#	SimPEG/EM/FDEM/FDEM.py
#	SimPEG/Mesh/TensorMesh.py
2016-02-09 08:32:41 -08:00
Lindsey Heagy cbe8758465 corrected scipy.sparse.csr_matrix, move size descriptions to :return: instead of :type: 2016-02-01 08:22:00 -08:00
Lindsey Heagy 6b359f49b5 docs clean-up (using autoclass is more stable than automodule) 2016-01-31 15:21:46 -08:00
Lindsey Heagy 2254eedbac indentations clean up in FDEM.py 2016-01-31 13:54:39 -08:00
Lindsey Heagy 012d2cadf1 use intersphinx mapping to get numpy, scipy, matplotlib, python inventories 2016-01-31 13:54:24 -08:00
Lindsey Heagy 841ba61006 clean up the html build 2016-01-31 13:22:36 -08:00
Lindsey Heagy 2874e204ee exclude _static from warnings 2016-01-31 12:52:42 -08:00
Lindsey Heagy adca273565 ignore nonlocal images in sphinx build 2016-01-31 12:46:24 -08:00
Lindsey Heagy d9d6f70958 better description of paths in test_docs 2016-01-31 12:45:51 -08:00
Lindsey Heagy f4ef767764 seperate out docs test so it runs independently (not on every test) 2016-01-31 12:08:29 -08:00
Lindsey Heagy e314bdb740 add sphinx to travis conda install 2016-01-31 11:06:47 -08:00
Lindsey Heagy e005ed8f5f use cd to get into docs directories for testing 2016-01-31 10:51:55 -08:00
Lindsey Heagy ac2e38e89d test docs first 2016-01-31 10:47:00 -08:00
Lindsey Heagy ade37fb493 add travis to docs. nit-picky testing on html, latex, link check 2016-01-31 09:51:57 -08:00
146 changed files with 2725 additions and 1482 deletions
+1 -1
View File
@@ -1,4 +1,4 @@
[bumpversion] [bumpversion]
current_version = 0.1.10 current_version = 0.1.12
files = setup.py SimPEG/__init__.py docs/conf.py files = setup.py SimPEG/__init__.py docs/conf.py
+2
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@@ -39,3 +39,5 @@ nosetests.xml
*.sublime-workspace *.sublime-workspace
docs/_build/ docs/_build/
Makefile Makefile
docs/warnings.txt
.DS_Store
+26 -4
View File
@@ -24,18 +24,25 @@ env:
- TEST_DIR=tests/examples - TEST_DIR=tests/examples
- TEST_DIR=tests/em/fdem/inverse/adjoint - TEST_DIR=tests/em/fdem/inverse/adjoint
- TEST_DIR=tests/em/fdem/forward - TEST_DIR=tests/em/fdem/forward
- TEST_DIR=tests/docs;
GAE_PYTHONPATH=${HOME}/.cache/google_appengine;
PATH=$PATH:${HOME}/google-cloud-sdk/bin;
PYTHONPATH=${PYTHONPATH}:${GAE_PYTHONPATH};
CLOUDSDK_CORE_DISABLE_PROMPTS=1
# Setup anaconda # Setup anaconda
before_install: before_install:
- if [ ${TRAVIS_PYTHON_VERSION:0:1} == "2" ]; then wget http://repo.continuum.io/miniconda/Miniconda-3.8.3-Linux-x86_64.sh -O miniconda.sh; else wget http://repo.continuum.io/miniconda/Miniconda3-3.8.3-Linux-x86_64.sh -O miniconda.sh; fi # Install packages
- if [ ${TRAVIS_PYTHON_VERSION:0:1} == "2" ]; then wget http://repo.continuum.io/miniconda/Miniconda-3.8.3-Linux-x86_64.sh
-O miniconda.sh; else wget http://repo.continuum.io/miniconda/Miniconda3-3.8.3-Linux-x86_64.sh
-O miniconda.sh; fi
- chmod +x miniconda.sh - chmod +x miniconda.sh
- ./miniconda.sh -b - ./miniconda.sh -b
- export PATH=/home/travis/anaconda/bin:/home/travis/miniconda/bin:$PATH - export PATH=/home/travis/anaconda/bin:/home/travis/miniconda/bin:$PATH
- conda update --yes conda - conda update --yes conda
# Install packages
install: install:
- conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython nose vtk - conda install --yes pip python=$TRAVIS_PYTHON_VERSION numpy scipy matplotlib cython ipython nose vtk sphinx
- 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
@@ -46,11 +53,26 @@ install:
# Run test # Run test
script: script:
# test docs
- nosetests $TEST_DIR --with-cov --cov SimPEG --cov-config .coveragerc -v -s - nosetests $TEST_DIR --with-cov --cov SimPEG --cov-config .coveragerc -v -s
# Calculate coverage # Calculate coverage
after_success: after_success:
- coveralls --config_file .coveragerc - bash <(curl -s https://codecov.io/bash)
- if [ "$TRAVIS_BRANCH" = "master" -a "$TRAVIS_PULL_REQUEST" = "false" ]; then
if [ ${TEST_DIR} == "tests/docs" ]; then
python scripts/fetch_gae_sdk.py $(dirname "${GAE_PYTHONPATH}");
openssl aes-256-cbc -K $encrypted_93066031461c_key -iv $encrypted_93066031461c_iv
-in docs/credentials.tar.gz.enc -out credentials.tar.gz -d ;
if [ ! -d ${HOME}/google-cloud-sdk ]; then curl https://sdk.cloud.google.com | bash; fi ;
tar -xzf credentials.tar.gz ;
gcloud auth activate-service-account --key-file client-secret.json ;
gcloud config set project simpegdocs;
gcloud -q components update gae-python;
gcloud -q preview app deploy ./docs/app.yaml --version ${TRAVIS_COMMIT} --promote;
fi;
fi
notifications: notifications:
email: email:
+13 -6
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@@ -1,4 +1,4 @@
.. image:: https://raw.github.com/simpeg/simpeg/master/docs/simpeg-logo.png .. image:: https://raw.github.com/simpeg/simpeg/master/docs/images/simpeg-logo.png
:alt: SimPEG Logo :alt: SimPEG Logo
====== ======
@@ -21,14 +21,21 @@ SimPEG
:target: https://travis-ci.org/simpeg/simpeg :target: https://travis-ci.org/simpeg/simpeg
:alt: Travis CI build status :alt: Travis CI build status
.. image:: https://img.shields.io/coveralls/simpeg/simpeg.svg
:target: https://coveralls.io/r/simpeg/simpeg?branch=master
:alt: Coverage status
.. image:: http://img.shields.io/badge/GITTER-JOIN_CHAT-brightgreen.svg?style=flat-square .. image:: http://img.shields.io/badge/GITTER-JOIN_CHAT-brightgreen.svg?style=flat-square
:alt: gitter chat room at https://gitter.im/simpeg/simpeg :alt: gitter chat room at https://gitter.im/simpeg/simpeg
:target: https://gitter.im/simpeg/simpeg :target: https://gitter.im/simpeg/simpeg
.. image:: https://codecov.io/gh/simpeg/simpeg/branch/master/graph/badge.svg
   :target: https://codecov.io/gh/simpeg/simpeg
.. image:: https://www.quantifiedcode.com/api/v1/project/933aa3decf444538aa432c8817169b6d/badge.svg
:target: https://www.quantifiedcode.com/app/project/933aa3decf444538aa432c8817169b6d
:alt: Code issues
.. image:: https://api.codacy.com/project/badge/Grade/4fc959a5294a418fa21fc7bc3b3aa078
:target: https://www.codacy.com/app/lindseyheagy/simpeg?utm_source=github.com&amp;utm_medium=referral&amp;utm_content=simpeg/simpeg&amp;utm_campaign=Badge_Grade
:alt: codacy
Simulation and Parameter Estimation in Geophysics - A python package for simulation and gradient based parameter estimation in the context of geophysical applications. Simulation and Parameter Estimation in Geophysics - A python package for simulation and gradient based parameter estimation in the context of geophysical applications.
The vision is to create a package for finite volume simulation with applications to geophysical imaging and subsurface flow. To enable the understanding of the many different components, this package has the following features: The vision is to create a package for finite volume simulation with applications to geophysical imaging and subsurface flow. To enable the understanding of the many different components, this package has the following features:
+2 -2
View File
@@ -162,8 +162,8 @@ class ProblemDC_CC(Problem.BaseProblem):
""" """
Makes the matrix A(m) for the DC resistivity problem. Makes the matrix A(m) for the DC resistivity problem.
:param numpy.array m: model :param numpy.ndarray m: model
:rtype: scipy.csc_matrix :rtype: scipy.sparse.csc_matrix
:return: A(m) :return: A(m)
.. math:: .. math::
+1 -1
View File
@@ -71,7 +71,7 @@ class ProblemIP(Problem.BaseProblem):
Makes the matrix A(m) for the DC resistivity problem. Makes the matrix A(m) for the DC resistivity problem.
:param numpy.array m: model :param numpy.array m: model
:rtype: scipy.csc_matrix :rtype: scipy.sparse.csc_matrix
:return: A(m) :return: A(m)
.. math:: .. math::
+7 -7
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@@ -476,7 +476,7 @@ def writeUBC_DCobs(fileName, DCsurvey, dim, surveyType, iptype = 0):
fid.write('! ' + surveyType + ' FORMAT\n') fid.write('! ' + surveyType + ' FORMAT\n')
if iptype!=0: if iptype!=0:
fid.write('IPTYPE=%i\n'%iptype) fid.write('IPTYPE={0:d}\n'.format(iptype))
else: else:
fid.write('! ' + stype + ' FORMAT\n') fid.write('! ' + stype + ' FORMAT\n')
@@ -512,7 +512,7 @@ def writeUBC_DCobs(fileName, DCsurvey, dim, surveyType, iptype = 0):
if surveyType == 'SURFACE': if surveyType == 'SURFACE':
fid.writelines("%f " % ii for ii in mkvc(tx[0,:])) fid.writelines("{0:f} ".format(ii) for ii in mkvc(tx[0,:]))
M = M[:,0] M = M[:,0]
N = N[:,0] N = N[:,0]
@@ -521,7 +521,7 @@ def writeUBC_DCobs(fileName, DCsurvey, dim, surveyType, iptype = 0):
# Flip sign for z-elevation to depth # Flip sign for z-elevation to depth
tx[2::2,:] = -tx[2::2,:] tx[2::2,:] = -tx[2::2,:]
fid.writelines("%e " % ii for ii in mkvc(tx[::2,:])) fid.writelines("{0:e} ".format(ii) for ii in mkvc(tx[::2,:]))
M = M[:,0::2] M = M[:,0::2]
N = N[:,0::2] N = N[:,0::2]
@@ -529,22 +529,22 @@ def writeUBC_DCobs(fileName, DCsurvey, dim, surveyType, iptype = 0):
M[:,1::2] = -M[:,1::2] M[:,1::2] = -M[:,1::2]
N[:,1::2] = -N[:,1::2] N[:,1::2] = -N[:,1::2]
fid.write('%i\n'% nD) fid.write('{0:d}\n'.format(nD))
np.savetxt(fid, np.c_[ M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%f',delimiter=' ',newline='\n') np.savetxt(fid, np.c_[ M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%f',delimiter=' ',newline='\n')
if dim=='3D': if dim=='3D':
if surveyType == 'SURFACE': if surveyType == 'SURFACE':
fid.writelines("%e " % ii for ii in mkvc(tx[0:2,:])) fid.writelines("{0:e} ".format(ii) for ii in mkvc(tx[0:2,:]))
M = M[:,0:2] M = M[:,0:2]
N = N[:,0:2] N = N[:,0:2]
if surveyType == 'GENERAL': if surveyType == 'GENERAL':
fid.writelines("%e " % ii for ii in mkvc(tx[0:3,:])) fid.writelines("{0:e} ".format(ii) for ii in mkvc(tx[0:3,:]))
fid.write('%i\n'% nD) fid.write('{0:d}\n'.format(nD))
np.savetxt(fid, np.c_[ M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%e',delimiter=' ',newline='\n') np.savetxt(fid, np.c_[ M, N , DCsurvey.dobs[count:count+nD], DCsurvey.std[count:count+nD] ], fmt='%e',delimiter=' ',newline='\n')
fid.write('\n') fid.write('\n')
+18 -18
View File
@@ -15,7 +15,7 @@ class InversionDirective(object):
@inversion.setter @inversion.setter
def inversion(self, i): def inversion(self, i):
if getattr(self,'_inversion',None) is not None: if getattr(self,'_inversion',None) is not None:
print 'Warning: InversionDirective %s has switched to a new inversion.' % self.__name__ print 'Warning: InversionDirective {0!s} has switched to a new inversion.'.format(self.__name__)
self._inversion = i self._inversion = i
@property @property
@@ -47,7 +47,7 @@ class DirectiveList(object):
def __init__(self, *directives, **kwargs): def __init__(self, *directives, **kwargs):
self.dList = [] self.dList = []
for d in directives: for d in directives:
assert isinstance(d, InversionDirective), 'All directives must be InversionDirectives not %s' % d.__name__ assert isinstance(d, InversionDirective), 'All directives must be InversionDirectives not {0!s}'.format(d.__name__)
self.dList.append(d) self.dList.append(d)
Utils.setKwargs(self, **kwargs) Utils.setKwargs(self, **kwargs)
@@ -68,7 +68,7 @@ class DirectiveList(object):
def inversion(self, i): def inversion(self, i):
if self.inversion is i: return if self.inversion is i: return
if getattr(self,'_inversion',None) is not None: if getattr(self,'_inversion',None) is not None:
print 'Warning: %s has switched to a new inversion.' % self.__name__ print 'Warning: {0!s} has switched to a new inversion.'.format(self.__name__)
for d in self.dList: for d in self.dList:
d.inversion = i d.inversion = i
self._inversion = i self._inversion = i
@@ -79,7 +79,7 @@ class DirectiveList(object):
return return
directives = ['initialize', 'endIter', 'finish'] directives = ['initialize', 'endIter', 'finish']
assert ruleType in directives, 'Directive type must be in ["%s"]' % '", "'.join(directives) assert ruleType in directives, 'Directive type must be in ["{0!s}"]'.format('", "'.join(directives))
for r in self.dList: for r in self.dList:
getattr(r, ruleType)() getattr(r, ruleType)()
@@ -141,7 +141,7 @@ class BetaSchedule(InversionDirective):
def endIter(self): def endIter(self):
if self.opt.iter > 0 and self.opt.iter % self.coolingRate == 0: if self.opt.iter > 0 and self.opt.iter % self.coolingRate == 0:
if self.debug: print 'BetaSchedule is cooling Beta. Iteration: %d' % self.opt.iter if self.debug: print 'BetaSchedule is cooling Beta. Iteration: {0:d}'.format(self.opt.iter)
self.invProb.beta /= self.coolingFactor self.invProb.beta /= self.coolingFactor
@@ -167,7 +167,7 @@ class TargetMisfit(InversionDirective):
class _SaveEveryIteration(InversionDirective): class SaveEveryIteration(InversionDirective):
@property @property
def name(self): def name(self):
if getattr(self, '_name', None) is None: if getattr(self, '_name', None) is None:
@@ -181,42 +181,42 @@ class _SaveEveryIteration(InversionDirective):
def fileName(self): def fileName(self):
if getattr(self, '_fileName', None) is None: if getattr(self, '_fileName', None) is None:
from datetime import datetime from datetime import datetime
self._fileName = '%s-%s'%(self.name, datetime.now().strftime('%Y-%m-%d-%H-%M')) self._fileName = '{0!s}-{1!s}'.format(self.name, datetime.now().strftime('%Y-%m-%d-%H-%M'))
return self._fileName return self._fileName
@fileName.setter @fileName.setter
def fileName(self, value): def fileName(self, value):
self._fileName = value self._fileName = value
class SaveModelEveryIteration(_SaveEveryIteration): class SaveModelEveryIteration(SaveEveryIteration):
"""SaveModelEveryIteration""" """SaveModelEveryIteration"""
def initialize(self): def initialize(self):
print "SimPEG.SaveModelEveryIteration will save your models as: '###-%s.npy'"%self.fileName print "SimPEG.SaveModelEveryIteration will save your models as: '###-{0!s}.npy'".format(self.fileName)
def endIter(self): def endIter(self):
np.save('%03d-%s' % (self.opt.iter, self.fileName), self.opt.xc) np.save('{0:03d}-{1!s}'.format(self.opt.iter, self.fileName), self.opt.xc)
class SaveOutputEveryIteration(_SaveEveryIteration): class SaveOutputEveryIteration(SaveEveryIteration):
"""SaveModelEveryIteration""" """SaveModelEveryIteration"""
def initialize(self): def initialize(self):
print "SimPEG.SaveOutputEveryIteration will save your inversion progress as: '###-%s.txt'"%self.fileName print "SimPEG.SaveOutputEveryIteration will save your inversion progress as: '###-{0!s}.txt'".format(self.fileName)
f = open(self.fileName+'.txt', 'w') f = open(self.fileName+'.txt', 'w')
f.write(" # beta phi_d phi_m f\n") f.write(" # beta phi_d phi_m f\n")
f.close() f.close()
def endIter(self): def endIter(self):
f = open(self.fileName+'.txt', 'a') f = open(self.fileName+'.txt', 'a')
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(' {0:3d} {1:1.4e} {2:1.4e} {3:1.4e} {4:1.4e}\n'.format(self.opt.iter, self.invProb.beta, self.invProb.phi_d, self.invProb.phi_m, self.opt.f))
f.close() f.close()
class SaveOutputDictEveryIteration(_SaveEveryIteration): class SaveOutputDictEveryIteration(SaveEveryIteration):
"""SaveOutputDictEveryIteration""" """SaveOutputDictEveryIteration"""
def initialize(self): def initialize(self):
print "SimPEG.SaveOutputDictEveryIteration will save your inversion progress as dictionary: '###-%s.npz'"%self.fileName print "SimPEG.SaveOutputDictEveryIteration will save your inversion progress as dictionary: '###-{0!s}.npz'".format(self.fileName)
def endIter(self): def endIter(self):
# Save the data. # Save the data.
@@ -328,7 +328,7 @@ class Update_IRLS(InversionDirective):
# Beta Schedule # Beta Schedule
if self.opt.iter > 0 and self.opt.iter % self.coolingRate == 0: if self.opt.iter > 0 and self.opt.iter % self.coolingRate == 0:
if self.debug: print 'BetaSchedule is cooling Beta. Iteration: %d' % self.opt.iter if self.debug: print 'BetaSchedule is cooling Beta. Iteration: {0:d}'.format(self.opt.iter)
self.invProb.beta /= self.coolingFactor self.invProb.beta /= self.coolingFactor
@@ -340,11 +340,11 @@ class Update_IRLS(InversionDirective):
phim_new = self.reg.eval(self.invProb.curModel) phim_new = self.reg.eval(self.invProb.curModel)
self.f_change = np.abs(self.f_old - phim_new) / self.f_old self.f_change = np.abs(self.f_old - phim_new) / self.f_old
print "Regularization decrease: %6.3e" % (self.f_change) print "Regularization decrease: {0:6.3e}".format((self.f_change))
# Check for maximum number of IRLS cycles # Check for maximum number of IRLS cycles
if self.IRLSiter == self.maxIRLSiter: if self.IRLSiter == self.maxIRLSiter:
print "Reach maximum number of IRLS cycles: %i" % self.maxIRLSiter print "Reach maximum number of IRLS cycles: {0:d}".format(self.maxIRLSiter)
self.opt.stopNextIteration = True self.opt.stopNextIteration = True
return return
+302
View File
@@ -0,0 +1,302 @@
from __future__ import division
import numpy as np
from scipy.constants import mu_0, pi, epsilon_0
from scipy.special import erf
from SimPEG import Utils
omega = lambda f: 2.*np.pi*f
# TODO:
# r = lambda dx, dy, dz: np.sqrt( dx**2. + dy**2. + dz**2.)
# k = lambda f, mu, epsilon, sig: np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
def E_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=0., epsr=1.):
"""
Computing Analytic Electric fields from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
mu = mu_0*(1+kappa)
epsilon = epsilon_0*epsr
sig_hat = sig + 1j*omega(f)*epsilon
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
# Check
if XYZ.shape[0] > 1 & f.shape[0] > 1:
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
dx = XYZ[:,0]-srcLoc[0]
dy = XYZ[:,1]-srcLoc[1]
dz = XYZ[:,2]-srcLoc[2]
r = np.sqrt( dx**2. + dy**2. + dz**2.)
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
front = current * length / (4.*np.pi*sig_hat* r**3) * np.exp(-1j*k*r)
mid = -k**2 * r**2 + 3*1j*k*r + 3
if orientation.upper() == 'X':
Ex = front*((dx**2 / r**2)*mid + (k**2 * r**2 -1j*k*r-1.))
Ey = front*(dx*dy / r**2)*mid
Ez = front*(dx*dz / r**2)*mid
return Ex, Ey, Ez
elif orientation.upper() == 'Y':
# x--> y, y--> z, z-->x
Ey = front*((dy**2 / r**2)*mid + (k**2 * r**2 -1j*k*r-1.))
Ez = front*(dy*dz / r**2)*mid
Ex = front*(dy*dx / r**2)*mid
return Ex, Ey, Ez
elif orientation.upper() == 'Z':
# x --> z, y --> x, z --> y
Ez = front*((dz**2 / r**2)*mid + (k**2 * r**2 -1j*k*r-1.))
Ex = front*(dz*dx / r**2)*mid
Ey = front*(dz*dy / r**2)*mid
return Ex, Ey, Ez
def E_galvanic_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Galvanic portion of Electric fields from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
mu = mu_0*(1+kappa)
epsilon = epsilon_0*epsr
sig_hat = sig + 1j*omega(f)*epsilon
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
# Check
if XYZ.shape[0] > 1 & f.shape[0] > 1:
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
dx = XYZ[:,0]-srcLoc[0]
dy = XYZ[:,1]-srcLoc[1]
dz = XYZ[:,2]-srcLoc[2]
r = np.sqrt( dx**2. + dy**2. + dz**2.)
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
front = current * length / (4.*np.pi*sig_hat* r**3) * np.exp(-1j*k*r)
mid = -k**2 * r**2 + 3*1j*k*r + 3
if orientation.upper() == 'X':
Ex_galvanic = front*((dx**2 / r**2)*mid + (-1j*k*r-1.))
Ey_galvanic = front*(dx*dy / r**2)*mid
Ez_galvanic = front*(dx*dz / r**2)*mid
return Ex_galvanic, Ey_galvanic, Ez_galvanic
elif orientation.upper() == 'Y':
# x--> y, y--> z, z-->x
Ey_galvanic = front*((dy**2 / r**2)*mid + (-1j*k*r-1.))
Ez_galvanic = front*(dy*dz / r**2)*mid
Ex_galvanic = front*(dy*dx / r**2)*mid
return Ex_galvanic, Ey_galvanic, Ez_galvanic
elif orientation.upper() == 'Z':
# x --> z, y --> x, z --> y
Ez_galvanic = front*((dz**2 / r**2)*mid + (-1j*k*r-1.))
Ex_galvanic = front*(dz*dx / r**2)*mid
Ey_galvanic = front*(dz*dy / r**2)*mid
return Ex_galvanic, Ey_galvanic, Ez_galvanic
def E_inductive_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Inductive portion of Electric fields from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
mu = mu_0*(1+kappa)
epsilon = epsilon_0*epsr
sig_hat = sig + 1j*omega(f)*epsilon
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
# Check
if XYZ.shape[0] > 1 & f.shape[0] > 1:
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
dx = XYZ[:,0]-srcLoc[0]
dy = XYZ[:,1]-srcLoc[1]
dz = XYZ[:,2]-srcLoc[2]
r = np.sqrt( dx**2. + dy**2. + dz**2.)
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
front = current * length / (4.*np.pi*sig_hat* r**3) * np.exp(-1j*k*r)
if orientation.upper() == 'X':
Ex_inductive = front*(k**2 * r**2)
Ey_inductive = np.zeros_like(Ex_inductive)
Ez_inductive = np.zeros_like(Ex_inductive)
return Ex_inductive, Ey_inductive, Ez_inductive
elif orientation.upper() == 'Y':
# x--> y, y--> z, z-->x
Ey_inductive = front*(k**2 * r**2)
Ez_inductive = np.zeros_like(Ey_inductive)
Ex_inductive = np.zeros_like(Ey_inductive)
return Ex_inductive, Ey_inductive, Ez_inductive
elif orientation.upper() == 'Z':
# x --> z, y --> x, z --> y
Ez_inductive = front*(k**2 * r**2)
Ex_inductive = np.zeros_like(Ez_inductive)
Ey_inductive = np.zeros_like(Ez_inductive)
return Ex_inductive, Ey_inductive, Ez_inductive
def J_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Current densities from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
Ex, Ey, Ez = E_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
Jx = sig*Ex
Jy = sig*Ey
Jz = sig*Ez
return Jx, Jy, Jz
def J_galvanic_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Galvanic portion of Current densities from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
Ex_galvanic, Ey_galvanic, Ez_galvanic = E_galvanic_from_ElectricDipoleWholeSpaced(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
Jx_galvanic = sig*Ex_galvanic
Jy_galvanic = sig*Ey_galvanic
Jz_galvanic = sig*Ez_galvanic
return Jx_galvanic, Jy_galvanic, Jz_galvanic
def J_inductive_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Inductive portion of Current densities from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
Ex_inductive, Ey_inductive, Ez_inductive = E_inductive_from_ElectricDipoleWholeSpaced(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
Jx_inductive = sig*Ex_inductive
Jy_inductive = sig*Ey_inductive
Jz_inductive = sig*Ez_inductive
return Jx_inductive, Jy_inductive, Jz_inductive
def H_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Magnetic fields from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
mu = mu_0*(1+kappa)
epsilon = epsilon_0*epsr
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
# Check
if XYZ.shape[0] > 1 & f.shape[0] > 1:
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
dx = XYZ[:,0]-srcLoc[0]
dy = XYZ[:,1]-srcLoc[1]
dz = XYZ[:,2]-srcLoc[2]
r = np.sqrt( dx**2. + dy**2. + dz**2.)
# k = np.sqrt( -1j*2.*np.pi*f*mu*sig )
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
front = current * length / (4.*np.pi* r**2) * (-1j*k*r + 1) * np.exp(-1j*k*r)
if orientation.upper() == 'X':
Hy = front*(-dz / r)
Hz = front*(dy / r)
Hx = np.zeros_like(Hy)
return Hx, Hy, Hz
elif orientation.upper() == 'Y':
Hx = front*(dz / r)
Hz = front*(-dx / r)
Hy = np.zeros_like(Hx)
return Hx, Hy, Hz
elif orientation.upper() == 'Z':
Hx = front*(-dy / r)
Hy = front*(dx / r)
Hz = np.zeros_like(Hx)
return Hx, Hy, Hz
def B_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Magnetic flux densites from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
Hx, Hy, Hz = H_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=current, length=length, orientation=orientation, kappa=kappa, epsr=epsr)
Bx = mu*Hx
By = mu*Hy
Bz = mu*Hz
return Bx, By, Bz
def A_from_ElectricDipoleWholeSpace(XYZ, srcLoc, sig, f, current=1., length=1., orientation='X', kappa=1., epsr=1.):
"""
Computing Electric vector potentials from Electrical Dipole in a Wholespace
TODO:
Add description of parameters
"""
mu = mu_0*(1+kappa)
epsilon = epsilon_0*epsr
XYZ = Utils.asArray_N_x_Dim(XYZ, 3)
# Check
if XYZ.shape[0] > 1 & f.shape[0] > 1:
raise Exception("I/O type error: For multiple field locations only a single frequency can be specified.")
dx = XYZ[:,0]-srcLoc[0]
dy = XYZ[:,1]-srcLoc[1]
dz = XYZ[:,2]-srcLoc[2]
r = np.sqrt( dx**2. + dy**2. + dz**2.)
k = np.sqrt( omega(f)**2. *mu*epsilon -1j*omega(f)*mu*sig )
front = current * length / (4.*np.pi*r)
if orientation.upper() == 'X':
Ax = front*np.exp(-1j*k*r)
Ay = np.zeros_like(Ax)
Az = np.zeros_like(Ax)
return Ax, Ay, Az
elif orientation.upper() == 'Y':
Ay = front*np.exp(-1j*k*r)
Ax = np.zeros_like(Ay)
Az = np.zeros_like(Ay)
return Ax, Ay, Az
elif orientation.upper() == 'Z':
Az = front*np.exp(-1j*k*r)
Ax = np.zeros_like(Ay)
Ay = np.zeros_like(Ay)
return Ax, Ay, Az
+1
View File
@@ -2,3 +2,4 @@ from TDEM import hzAnalyticDipoleT
from FDEM import hzAnalyticDipoleF from FDEM import hzAnalyticDipoleF
from FDEMcasing import * from FDEMcasing import *
from DC import DCAnalyticHalf, DCAnalyticSphere from DC import DCAnalyticHalf, DCAnalyticSphere
from FDEMDipolarfields import *
+4 -3
View File
@@ -20,10 +20,10 @@ class BaseEMProblem(Problem.BaseProblem):
Problem.BaseProblem.__init__(self, mesh, **kwargs) Problem.BaseProblem.__init__(self, mesh, **kwargs)
surveyPair = Survey.BaseSurvey surveyPair = Survey.BaseSurvey #: The survey to pair with.
dataPair = Survey.Data dataPair = Survey.Data #: The data to pair with.
PropMap = EMPropMap PropMap = EMPropMap #: The property mapping
Solver = SimpegSolver Solver = SimpegSolver
solverOpts = {} solverOpts = {}
@@ -217,6 +217,7 @@ class BaseEMSurvey(Survey.BaseSurvey):
def eval(self, f): def eval(self, f):
""" """
Project fields to receiver locations Project fields to receiver locations
:param Fields u: fields object :param Fields u: fields object
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: data :return: data
+26 -38
View File
@@ -6,11 +6,11 @@ from SimPEG.EM.Utils import omega
from SimPEG.Utils import Zero, Identity, sdiag from SimPEG.Utils import Zero, Identity, sdiag
class Fields(SimPEG.Problem.Fields): class FieldsFDEM(SimPEG.Problem.Fields):
""" """
Fancy Field Storage for a FDEM survey. Only one field type is stored for Fancy Field Storage for a FDEM survey. Only one field type is stored for
each problem, the rest are computed. The fields obejct acts like an array and is indexed by each problem, the rest are computed. The fields object acts like an array and is indexed by
.. code-block:: python .. code-block:: python
@@ -42,7 +42,7 @@ class Fields(SimPEG.Problem.Fields):
:return: total electric field :return: total electric field
""" """
if getattr(self, '_ePrimary', None) is None or getattr(self, '_eSecondary', None) is None: if getattr(self, '_ePrimary', None) is None or getattr(self, '_eSecondary', None) is None:
raise NotImplementedError ('Getting e from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting e from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
return self._ePrimary(solution,srcList) + self._eSecondary(solution,srcList) return self._ePrimary(solution,srcList) + self._eSecondary(solution,srcList)
@@ -56,7 +56,7 @@ class Fields(SimPEG.Problem.Fields):
:return: total magnetic flux density :return: total magnetic flux density
""" """
if getattr(self, '_bPrimary', None) is None or getattr(self, '_bSecondary', None) is None: if getattr(self, '_bPrimary', None) is None or getattr(self, '_bSecondary', None) is None:
raise NotImplementedError ('Getting b from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting b from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
return self._bPrimary(solution, srcList) + self._bSecondary(solution, srcList) return self._bPrimary(solution, srcList) + self._bSecondary(solution, srcList)
@@ -70,7 +70,7 @@ class Fields(SimPEG.Problem.Fields):
:return: total magnetic field :return: total magnetic field
""" """
if getattr(self, '_hPrimary', None) is None or getattr(self, '_hSecondary', None) is None: if getattr(self, '_hPrimary', None) is None or getattr(self, '_hSecondary', None) is None:
raise NotImplementedError ('Getting h from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting h from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
return self._hPrimary(solution, srcList) + self._hSecondary(solution, srcList) return self._hPrimary(solution, srcList) + self._hSecondary(solution, srcList)
@@ -84,7 +84,7 @@ class Fields(SimPEG.Problem.Fields):
:return: total current density :return: total current density
""" """
if getattr(self, '_jPrimary', None) is None or getattr(self, '_jSecondary', None) is None: if getattr(self, '_jPrimary', None) is None or getattr(self, '_jSecondary', None) is None:
raise NotImplementedError ('Getting j from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting j from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
return self._jPrimary(solution, srcList) + self._jSecondary(solution, srcList) return self._jPrimary(solution, srcList) + self._jSecondary(solution, srcList)
@@ -92,7 +92,7 @@ class Fields(SimPEG.Problem.Fields):
""" """
Total derivative of e with respect to the inversion model. Returns :math:`d\mathbf{e}/d\mathbf{m}` for forward and (:math:`d\mathbf{e}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint Total derivative of e with respect to the inversion model. Returns :math:`d\mathbf{e}/d\mathbf{m}` for forward and (:math:`d\mathbf{e}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
:param Src src: sorce :param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint) :param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
:param numpy.ndarray v: vector to take sensitivity product with :param numpy.ndarray v: vector to take sensitivity product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
@@ -100,7 +100,7 @@ class Fields(SimPEG.Problem.Fields):
:return: derivative times a vector (or tuple for adjoint) :return: derivative times a vector (or tuple for adjoint)
""" """
if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None: if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None:
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting eDerivs from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
if adjoint: if adjoint:
return self._eDeriv_u(src, v, adjoint), self._eDeriv_m(src, v, adjoint) return self._eDeriv_u(src, v, adjoint), self._eDeriv_m(src, v, adjoint)
@@ -110,7 +110,7 @@ class Fields(SimPEG.Problem.Fields):
""" """
Total derivative of b with respect to the inversion model. Returns :math:`d\mathbf{b}/d\mathbf{m}` for forward and (:math:`d\mathbf{b}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint Total derivative of b with respect to the inversion model. Returns :math:`d\mathbf{b}/d\mathbf{m}` for forward and (:math:`d\mathbf{b}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
:param Src src: sorce :param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint) :param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
:param numpy.ndarray v: vector to take sensitivity product with :param numpy.ndarray v: vector to take sensitivity product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
@@ -118,7 +118,7 @@ class Fields(SimPEG.Problem.Fields):
:return: derivative times a vector (or tuple for adjoint) :return: derivative times a vector (or tuple for adjoint)
""" """
if getattr(self, '_bDeriv_u', None) is None or getattr(self, '_bDeriv_m', None) is None: if getattr(self, '_bDeriv_u', None) is None or getattr(self, '_bDeriv_m', None) is None:
raise NotImplementedError ('Getting bDerivs from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting bDerivs from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
if adjoint: if adjoint:
return self._bDeriv_u(src, v, adjoint), self._bDeriv_m(src, v, adjoint) return self._bDeriv_u(src, v, adjoint), self._bDeriv_m(src, v, adjoint)
@@ -128,7 +128,7 @@ class Fields(SimPEG.Problem.Fields):
""" """
Total derivative of h with respect to the inversion model. Returns :math:`d\mathbf{h}/d\mathbf{m}` for forward and (:math:`d\mathbf{h}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint Total derivative of h with respect to the inversion model. Returns :math:`d\mathbf{h}/d\mathbf{m}` for forward and (:math:`d\mathbf{h}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
:param Src src: sorce :param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint) :param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
:param numpy.ndarray v: vector to take sensitivity product with :param numpy.ndarray v: vector to take sensitivity product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
@@ -136,7 +136,7 @@ class Fields(SimPEG.Problem.Fields):
:return: derivative times a vector (or tuple for adjoint) :return: derivative times a vector (or tuple for adjoint)
""" """
if getattr(self, '_hDeriv_u', None) is None or getattr(self, '_hDeriv_m', None) is None: if getattr(self, '_hDeriv_u', None) is None or getattr(self, '_hDeriv_m', None) is None:
raise NotImplementedError ('Getting hDerivs from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting hDerivs from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
if adjoint: if adjoint:
return self._hDeriv_u(src, v, adjoint), self._hDeriv_m(src, v, adjoint) return self._hDeriv_u(src, v, adjoint), self._hDeriv_m(src, v, adjoint)
@@ -146,7 +146,7 @@ class Fields(SimPEG.Problem.Fields):
""" """
Total derivative of j with respect to the inversion model. Returns :math:`d\mathbf{j}/d\mathbf{m}` for forward and (:math:`d\mathbf{j}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint Total derivative of j with respect to the inversion model. Returns :math:`d\mathbf{j}/d\mathbf{m}` for forward and (:math:`d\mathbf{j}/d\mathbf{u}`, :math:`d\mathb{u}/d\mathbf{m}`) for the adjoint
:param Src src: sorce :param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: source
:param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint) :param numpy.ndarray du_dm_v: derivative of the solution vector with respect to the model times a vector (is None for adjoint)
:param numpy.ndarray v: vector to take sensitivity product with :param numpy.ndarray v: vector to take sensitivity product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
@@ -154,18 +154,18 @@ class Fields(SimPEG.Problem.Fields):
:return: derivative times a vector (or tuple for adjoint) :return: derivative times a vector (or tuple for adjoint)
""" """
if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None: if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None:
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting jDerivs from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
if adjoint: if adjoint:
return self._jDeriv_u(src, v, adjoint), self._jDeriv_m(src, v, adjoint) return self._jDeriv_u(src, v, adjoint), self._jDeriv_m(src, v, adjoint)
return np.array(self._jDeriv_u(src, du_dm_v, adjoint) + self._jDeriv_m(src, v, adjoint), dtype = complex) return np.array(self._jDeriv_u(src, du_dm_v, adjoint) + self._jDeriv_m(src, v, adjoint), dtype = complex)
class Fields3D_e(Fields): class Fields3D_e(FieldsFDEM):
""" """
Fields object for Problem3D_e. Fields object for Problem3D_e.
:param Mesh mesh: mesh :param BaseMesh mesh: mesh
:param Survey survey: survey :param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
""" """
knownFields = {'eSolution':'E'} knownFields = {'eSolution':'E'}
@@ -180,9 +180,6 @@ class Fields3D_e(Fields):
'h' : ['eSolution','CCV','_h'], 'h' : ['eSolution','CCV','_h'],
} }
def __init__(self, mesh, survey, **kwargs):
Fields.__init__(self, mesh, survey, **kwargs)
def startup(self): def startup(self):
self.prob = self.survey.prob self.prob = self.survey.prob
self._edgeCurl = self.survey.prob.mesh.edgeCurl self._edgeCurl = self.survey.prob.mesh.edgeCurl
@@ -426,12 +423,12 @@ class Fields3D_e(Fields):
class Fields3D_b(Fields): class Fields3D_b(FieldsFDEM):
""" """
Fields object for Problem3D_b. Fields object for Problem3D_b.
:param Mesh mesh: mesh :param BaseMesh mesh: mesh
:param Survey survey: survey :param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
""" """
knownFields = {'bSolution':'F'} knownFields = {'bSolution':'F'}
@@ -446,9 +443,6 @@ class Fields3D_b(Fields):
'h' : ['bSolution','CCV','_h'], 'h' : ['bSolution','CCV','_h'],
} }
def __init__(self,mesh,survey,**kwargs):
Fields.__init__(self,mesh,survey,**kwargs)
def startup(self): def startup(self):
self.prob = self.survey.prob self.prob = self.survey.prob
self._edgeCurl = self.survey.prob.mesh.edgeCurl self._edgeCurl = self.survey.prob.mesh.edgeCurl
@@ -693,12 +687,12 @@ class Fields3D_b(Fields):
return Zero() return Zero()
class Fields3D_j(Fields): class Fields3D_j(FieldsFDEM):
""" """
Fields object for Problem3D_j. Fields object for Problem3D_j.
:param Mesh mesh: mesh :param BaseMesh mesh: mesh
:param Survey survey: survey :param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
""" """
knownFields = {'jSolution':'F'} knownFields = {'jSolution':'F'}
@@ -713,9 +707,6 @@ class Fields3D_j(Fields):
'b' : ['jSolution','CCV','_b'], 'b' : ['jSolution','CCV','_b'],
} }
def __init__(self,mesh,survey,**kwargs):
Fields.__init__(self,mesh,survey,**kwargs)
def startup(self): def startup(self):
self.prob = self.survey.prob self.prob = self.survey.prob
self._edgeCurl = self.survey.prob.mesh.edgeCurl self._edgeCurl = self.survey.prob.mesh.edgeCurl
@@ -988,12 +979,12 @@ class Fields3D_j(Fields):
return 1./(1j * omega(src.freq)) * VI * (self._aveE2CCV * ( s_mDeriv(v) - self._edgeCurl.T * ( self._MfRhoDeriv(jSolution) * v ) ) ) return 1./(1j * omega(src.freq)) * VI * (self._aveE2CCV * ( s_mDeriv(v) - self._edgeCurl.T * ( self._MfRhoDeriv(jSolution) * v ) ) )
class Fields3D_h(Fields): class Fields3D_h(FieldsFDEM):
""" """
Fields object for Problem3D_h. Fields object for Problem3D_h.
:param Mesh mesh: mesh :param BaseMesh mesh: mesh
:param Survey survey: survey :param SimPEG.EM.FDEM.SurveyFDEM.Survey survey: survey
""" """
knownFields = {'hSolution':'E'} knownFields = {'hSolution':'E'}
@@ -1008,9 +999,6 @@ class Fields3D_h(Fields):
'b' : ['hSolution','CCV','_b'], 'b' : ['hSolution','CCV','_b'],
} }
def __init__(self,mesh,survey,**kwargs):
Fields.__init__(self,mesh,survey,**kwargs)
def startup(self): def startup(self):
self.prob = self.survey.prob self.prob = self.survey.prob
self._edgeCurl = self.survey.prob.mesh.edgeCurl self._edgeCurl = self.survey.prob.mesh.edgeCurl
+21 -16
View File
@@ -1,7 +1,7 @@
from SimPEG import Problem, Utils, np, sp, Solver as SimpegSolver from SimPEG import Problem, Utils, np, sp, Solver as SimpegSolver
from scipy.constants import mu_0 from scipy.constants import mu_0
from SurveyFDEM import Survey as SurveyFDEM from SurveyFDEM import Survey as SurveyFDEM
from FieldsFDEM import Fields, Fields3D_e, Fields3D_b, Fields3D_h, Fields3D_j from FieldsFDEM import FieldsFDEM, Fields3D_e, Fields3D_b, Fields3D_h, Fields3D_j
from SimPEG.EM.Base import BaseEMProblem from SimPEG.EM.Base import BaseEMProblem
from SimPEG.EM.Utils import omega from SimPEG.EM.Utils import omega
@@ -31,10 +31,11 @@ class BaseFDEMProblem(BaseEMProblem):
if using the H-J formulation (:code:`Problem3D_j` or :code:`Problem3D_h`). Note that here, :math:`\mathbf{s_m}` is an integrated quantity. if using the H-J formulation (:code:`Problem3D_j` or :code:`Problem3D_h`). Note that here, :math:`\mathbf{s_m}` is an integrated quantity.
The problem performs the elimination so that we are solving the system for \\\(\\\mathbf{e},\\\mathbf{b},\\\mathbf{j} \\\) or \\\(\\\mathbf{h}\\\) The problem performs the elimination so that we are solving the system for \\\(\\\mathbf{e},\\\mathbf{b},\\\mathbf{j} \\\) or \\\(\\\mathbf{h}\\\)
""" """
surveyPair = SurveyFDEM surveyPair = SurveyFDEM
fieldsPair = Fields fieldsPair = FieldsFDEM
def fields(self, m): def fields(self, m):
""" """
@@ -64,7 +65,7 @@ class BaseFDEMProblem(BaseEMProblem):
:param numpy.array m: inversion model (nP,) :param numpy.array m: inversion model (nP,)
:param numpy.array v: vector which we take sensitivity product with (nP,) :param numpy.array v: vector which we take sensitivity product with (nP,)
:param SimPEG.EM.FDEM.Fields u: fields object :param SimPEG.EM.FDEM.FieldsFDEM.FieldsFDEM u: fields object
:rtype numpy.array: :rtype numpy.array:
:return: Jv (ndata,) :return: Jv (ndata,)
""" """
@@ -99,7 +100,7 @@ class BaseFDEMProblem(BaseEMProblem):
:param numpy.array m: inversion model (nP,) :param numpy.array m: inversion model (nP,)
:param numpy.array v: vector which we take adjoint product with (nP,) :param numpy.array v: vector which we take adjoint product with (nP,)
:param SimPEG.EM.FDEM.Fields u: fields object :param SimPEG.EM.FDEM.FieldsFDEM.FieldsFDEM u: fields object
:rtype numpy.array: :rtype numpy.array:
:return: Jv (ndata,) :return: Jv (ndata,)
""" """
@@ -153,8 +154,8 @@ class BaseFDEMProblem(BaseEMProblem):
Evaluates the sources for a given frequency and puts them in matrix form Evaluates the sources for a given frequency and puts them in matrix form
:param float freq: Frequency :param float freq: Frequency
:rtype: (numpy.ndarray, numpy.ndarray) :rtype: tuple
:return: s_m, s_e (nE or nF, nSrc) :return: (s_m, s_e) (nE or nF, nSrc)
""" """
Srcs = self.survey.getSrcByFreq(freq) Srcs = self.survey.getSrcByFreq(freq)
if self._formulation is 'EB': if self._formulation is 'EB':
@@ -194,7 +195,7 @@ class Problem3D_e(BaseFDEMProblem):
which we solve for :math:`\mathbf{e}`. which we solve for :math:`\mathbf{e}`.
:param SimPEG.Mesh mesh: mesh :param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
""" """
_solutionType = 'eSolution' _solutionType = 'eSolution'
@@ -269,7 +270,7 @@ class Problem3D_e(BaseFDEMProblem):
Derivative of the right hand side with respect to the model Derivative of the right hand side with respect to the model
:param float freq: frequency :param float freq: frequency
:param SimPEG.EM.FDEM.Src src: FDEM source :param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param numpy.ndarray v: vector to take product with :param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
:rtype: numpy.ndarray :rtype: numpy.ndarray
@@ -305,7 +306,7 @@ class Problem3D_b(BaseFDEMProblem):
.. note :: .. note ::
The inverse problem will not work with full anisotropy The inverse problem will not work with full anisotropy
:param SimPEG.Mesh mesh: mesh :param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
""" """
_solutionType = 'bSolution' _solutionType = 'bSolution'
@@ -400,7 +401,7 @@ class Problem3D_b(BaseFDEMProblem):
Derivative of the right hand side with respect to the model Derivative of the right hand side with respect to the model
:param float freq: frequency :param float freq: frequency
:param SimPEG.EM.FDEM.Src src: FDEM source :param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param numpy.ndarray v: vector to take product with :param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
:rtype: numpy.ndarray :rtype: numpy.ndarray
@@ -444,6 +445,7 @@ class Problem3D_j(BaseFDEMProblem):
\mathbf{h} = \\frac{1}{i \omega} \mathbf{M_{\mu}^e}^{-1} \\left(-\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{j} + \mathbf{M^e} \mathbf{s_m} \\right) \mathbf{h} = \\frac{1}{i \omega} \mathbf{M_{\mu}^e}^{-1} \\left(-\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{j} + \mathbf{M^e} \mathbf{s_m} \\right)
and solve for \\\(\\\mathbf{j}\\\) using and solve for \\\(\\\mathbf{j}\\\) using
.. math :: .. math ::
@@ -453,7 +455,7 @@ class Problem3D_j(BaseFDEMProblem):
.. note:: .. note::
This implementation does not yet work with full anisotropy!! This implementation does not yet work with full anisotropy!!
:param SimPEG.Mesh mesh: mesh :param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
""" """
_solutionType = 'jSolution' _solutionType = 'jSolution'
@@ -529,8 +531,8 @@ class Problem3D_j(BaseFDEMProblem):
\mathbf{RHS} = \mathbf{C} \mathbf{M_{\mu}^e}^{-1}\mathbf{s_m} -i\omega \mathbf{s_e} \mathbf{RHS} = \mathbf{C} \mathbf{M_{\mu}^e}^{-1}\mathbf{s_m} -i\omega \mathbf{s_e}
:param float freq: Frequency :param float freq: Frequency
:rtype: numpy.ndarray (nE, nSrc) :rtype: numpy.ndarray
:return: RHS :return: RHS (nE, nSrc)
""" """
s_m, s_e = self.getSourceTerm(freq) s_m, s_e = self.getSourceTerm(freq)
@@ -549,7 +551,7 @@ class Problem3D_j(BaseFDEMProblem):
Derivative of the right hand side with respect to the model Derivative of the right hand side with respect to the model
:param float freq: frequency :param float freq: frequency
:param SimPEG.EM.FDEM.Src src: FDEM source :param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param numpy.ndarray v: vector to take product with :param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
:rtype: numpy.ndarray :rtype: numpy.ndarray
@@ -591,7 +593,7 @@ class Problem3D_h(BaseFDEMProblem):
\\left(\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{C} + i \omega \mathbf{M_{\mu}^e}\\right) \mathbf{h} = \mathbf{M^e} \mathbf{s_m} + \mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{s_e} \\left(\mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{C} + i \omega \mathbf{M_{\mu}^e}\\right) \mathbf{h} = \mathbf{M^e} \mathbf{s_m} + \mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{s_e}
:param SimPEG.Mesh mesh: mesh :param SimPEG.Mesh.BaseMesh.BaseMesh mesh: mesh
""" """
_solutionType = 'hSolution' _solutionType = 'hSolution'
@@ -608,9 +610,11 @@ class Problem3D_h(BaseFDEMProblem):
.. math:: .. math::
\mathbf{A} = \mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{C} + i \omega \mathbf{M_{\mu}^e} \mathbf{A} = \mathbf{C}^{\\top} \mathbf{M_{\\rho}^f} \mathbf{C} + i \omega \mathbf{M_{\mu}^e}
:param float freq: Frequency :param float freq: Frequency
:rtype: scipy.sparse.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: A :return: A
""" """
MeMu = self.MeMu MeMu = self.MeMu
@@ -653,6 +657,7 @@ class Problem3D_h(BaseFDEMProblem):
:param float freq: Frequency :param float freq: Frequency
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: RHS (nE, nSrc) :return: RHS (nE, nSrc)
""" """
s_m, s_e = self.getSourceTerm(freq) s_m, s_e = self.getSourceTerm(freq)
@@ -666,7 +671,7 @@ class Problem3D_h(BaseFDEMProblem):
Derivative of the right hand side with respect to the model Derivative of the right hand side with respect to the model
:param float freq: frequency :param float freq: frequency
:param SimPEG.EM.FDEM.Src src: FDEM source :param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param numpy.ndarray v: vector to take product with :param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
:rtype: numpy.ndarray :rtype: numpy.ndarray
+7 -7
View File
@@ -11,8 +11,8 @@ class BaseRx(SimPEG.Survey.BaseRx):
""" """
def __init__(self, locs, orientation=None, component=None): def __init__(self, locs, orientation=None, component=None):
assert(orientation in ['x','y','z']), "Orientation %s not known. Orientation must be in 'x', 'y', 'z'. Arbitrary orientations have not yet been implemented."%orientation assert(orientation in ['x','y','z']), "Orientation {0!s} not known. Orientation must be in 'x', 'y', 'z'. Arbitrary orientations have not yet been implemented.".format(orientation)
assert(component in ['real', 'imag']), "'component' must be 'real' or 'imag', not %s"%component assert(component in ['real', 'imag']), "'component' must be 'real' or 'imag', not {0!s}".format(component)
self.projComp = orientation self.projComp = orientation
self.component = component self.component = component
@@ -25,10 +25,10 @@ class BaseRx(SimPEG.Survey.BaseRx):
def eval(self, src, mesh, f): def eval(self, src, mesh, f):
""" """
Project fields to recievers to get data. Project fields to receivers to get data.
:param Source src: FDEM source :param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param Mesh mesh: mesh used :param BaseMesh mesh: mesh used
:param Fields f: fields object :param Fields f: fields object
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: fields projected to recievers :return: fields projected to recievers
@@ -44,8 +44,8 @@ class BaseRx(SimPEG.Survey.BaseRx):
""" """
Derivative of projected fields with respect to the inversion model times a vector. Derivative of projected fields with respect to the inversion model times a vector.
:param Source src: FDEM source :param SimPEG.EM.FDEM.SrcFDEM.BaseSrc src: FDEM source
:param Mesh mesh: mesh used :param BaseMesh mesh: mesh used
:param Fields f: fields object :param Fields f: fields object
:param numpy.ndarray v: vector to multiply :param numpy.ndarray v: vector to multiply
:rtype: numpy.ndarray :rtype: numpy.ndarray
+28 -28
View File
@@ -23,8 +23,8 @@ class BaseSrc(Survey.BaseSrc):
- :math:`s_m` : magnetic source term - :math:`s_m` : magnetic source term
- :math:`s_e` : electric source term - :math:`s_e` : electric source term
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: (numpy.ndarray, numpy.ndarray) :rtype: tuple
:return: tuple with magnetic source term and electric source term :return: tuple with magnetic source term and electric source term
""" """
s_m = self.s_m(prob) s_m = self.s_m(prob)
@@ -37,10 +37,10 @@ class BaseSrc(Survey.BaseSrc):
- :code:`s_mDeriv` : derivative of the magnetic source term - :code:`s_mDeriv` : derivative of the magnetic source term
- :code:`s_eDeriv` : derivative of the electric source term - :code:`s_eDeriv` : derivative of the electric source term
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:param numpy.ndarray v: vector to take product with :param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
:rtype: (numpy.ndarray, numpy.ndarray) :rtype: tuple
:return: tuple with magnetic source term and electric source term derivatives times a vector :return: tuple with magnetic source term and electric source term derivatives times a vector
""" """
if v is not None: if v is not None:
@@ -52,7 +52,7 @@ class BaseSrc(Survey.BaseSrc):
""" """
Primary magnetic flux density Primary magnetic flux density
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic flux density :return: primary magnetic flux density
""" """
@@ -64,7 +64,7 @@ class BaseSrc(Survey.BaseSrc):
""" """
Primary magnetic field Primary magnetic field
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -76,7 +76,7 @@ class BaseSrc(Survey.BaseSrc):
""" """
Primary electric field Primary electric field
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary electric field :return: primary electric field
""" """
@@ -88,7 +88,7 @@ class BaseSrc(Survey.BaseSrc):
""" """
Primary current density Primary current density
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary current density :return: primary current density
""" """
@@ -100,7 +100,7 @@ class BaseSrc(Survey.BaseSrc):
""" """
Magnetic source term Magnetic source term
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: magnetic source term on mesh :return: magnetic source term on mesh
""" """
@@ -110,7 +110,7 @@ class BaseSrc(Survey.BaseSrc):
""" """
Electric source term Electric source term
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: electric source term on mesh :return: electric source term on mesh
""" """
@@ -120,7 +120,7 @@ class BaseSrc(Survey.BaseSrc):
""" """
Derivative of magnetic source term with respect to the inversion model Derivative of magnetic source term with respect to the inversion model
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:param numpy.ndarray v: vector to take product with :param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
:rtype: numpy.ndarray :rtype: numpy.ndarray
@@ -133,7 +133,7 @@ class BaseSrc(Survey.BaseSrc):
""" """
Derivative of electric source term with respect to the inversion model Derivative of electric source term with respect to the inversion model
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:param numpy.ndarray v: vector to take product with :param numpy.ndarray v: vector to take product with
:param bool adjoint: adjoint? :param bool adjoint: adjoint?
:rtype: numpy.ndarray :rtype: numpy.ndarray
@@ -162,7 +162,7 @@ class RawVec_e(BaseSrc):
""" """
Electric source term Electric source term
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: electric source term on mesh :return: electric source term on mesh
""" """
@@ -191,7 +191,7 @@ class RawVec_m(BaseSrc):
""" """
Magnetic source term Magnetic source term
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: magnetic source term on mesh :return: magnetic source term on mesh
""" """
@@ -220,7 +220,7 @@ class RawVec(BaseSrc):
""" """
Magnetic source term Magnetic source term
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: magnetic source term on mesh :return: magnetic source term on mesh
""" """
@@ -232,7 +232,7 @@ class RawVec(BaseSrc):
""" """
Electric source term Electric source term
:param Problem prob: FDEM Problem :param BaseFDEMProblem prob: FDEM Problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: electric source term on mesh :return: electric source term on mesh
""" """
@@ -301,7 +301,7 @@ class MagDipole(BaseSrc):
""" """
The primary magnetic flux density from a magnetic vector potential The primary magnetic flux density from a magnetic vector potential
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -339,7 +339,7 @@ class MagDipole(BaseSrc):
""" """
The primary magnetic field from a magnetic vector potential The primary magnetic field from a magnetic vector potential
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -350,7 +350,7 @@ class MagDipole(BaseSrc):
""" """
The magnetic source term The magnetic source term
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -364,7 +364,7 @@ class MagDipole(BaseSrc):
""" """
The electric source term The electric source term
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -416,7 +416,7 @@ class MagDipole_Bfield(BaseSrc):
""" """
The primary magnetic flux density from the analytic solution for magnetic fields from a dipole The primary magnetic flux density from the analytic solution for magnetic fields from a dipole
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -455,7 +455,7 @@ class MagDipole_Bfield(BaseSrc):
""" """
The primary magnetic field from a magnetic vector potential The primary magnetic field from a magnetic vector potential
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -466,7 +466,7 @@ class MagDipole_Bfield(BaseSrc):
""" """
The magnetic source term The magnetic source term
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -479,7 +479,7 @@ class MagDipole_Bfield(BaseSrc):
""" """
The electric source term The electric source term
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -530,7 +530,7 @@ class CircularLoop(BaseSrc):
""" """
The primary magnetic flux density from a magnetic vector potential The primary magnetic flux density from a magnetic vector potential
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -567,7 +567,7 @@ class CircularLoop(BaseSrc):
""" """
The primary magnetic field from a magnetic vector potential The primary magnetic field from a magnetic vector potential
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -578,7 +578,7 @@ class CircularLoop(BaseSrc):
""" """
The magnetic source term The magnetic source term
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
@@ -591,7 +591,7 @@ class CircularLoop(BaseSrc):
""" """
The electric source term The electric source term
:param Problem prob: FDEM problem :param BaseFDEMProblem prob: FDEM problem
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: primary magnetic field :return: primary magnetic field
""" """
+3 -3
View File
@@ -9,7 +9,7 @@ class Fields(SimPEG.Problem.Fields):
def _phiDeriv(self, src, du_dm_v, v, adjoint=False): def _phiDeriv(self, src, du_dm_v, v, adjoint=False):
if getattr(self, '_phiDeriv_u', None) is None or getattr(self, '_phiDeriv_m', None) is None: if getattr(self, '_phiDeriv_u', None) is None or getattr(self, '_phiDeriv_m', None) is None:
raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting phiDerivs from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
if adjoint: if adjoint:
return self._phiDeriv_u(src, v, adjoint=adjoint), self._phiDeriv_m(src, v, adjoint=adjoint) return self._phiDeriv_u(src, v, adjoint=adjoint), self._phiDeriv_m(src, v, adjoint=adjoint)
@@ -18,7 +18,7 @@ class Fields(SimPEG.Problem.Fields):
def _eDeriv(self, src, du_dm_v, v, adjoint=False): def _eDeriv(self, src, du_dm_v, v, adjoint=False):
if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None: if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None:
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting eDerivs from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
if adjoint: if adjoint:
return self._eDeriv_u(src, v, adjoint), self._eDeriv_m(src, v, adjoint) return self._eDeriv_u(src, v, adjoint), self._eDeriv_m(src, v, adjoint)
@@ -26,7 +26,7 @@ class Fields(SimPEG.Problem.Fields):
def _jDeriv(self, src, du_dm_v, v, adjoint=False): def _jDeriv(self, src, du_dm_v, v, adjoint=False):
if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None: if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None:
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting jDerivs from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
if adjoint: if adjoint:
return self._jDeriv_u(src, v, adjoint), self._jDeriv_m(src, v, adjoint) return self._jDeriv_u(src, v, adjoint), self._jDeriv_m(src, v, adjoint)
+3 -3
View File
@@ -32,7 +32,7 @@ class Fields_ky(SimPEG.Problem.TimeFields):
def _phiDeriv(self,kyInd, src, du_dm_v, v, adjoint=False): def _phiDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
if getattr(self, '_phiDeriv_u', None) is None or getattr(self, '_phiDeriv_m', None) is None: if getattr(self, '_phiDeriv_u', None) is None or getattr(self, '_phiDeriv_m', None) is None:
raise NotImplementedError ('Getting phiDerivs from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting phiDerivs from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
if adjoint: if adjoint:
return self._phiDeriv_u(kyInd, src, v, adjoint=adjoint), self._phiDeriv_m(kyInd, src, v, adjoint=adjoint) return self._phiDeriv_u(kyInd, src, v, adjoint=adjoint), self._phiDeriv_m(kyInd, src, v, adjoint=adjoint)
@@ -41,7 +41,7 @@ class Fields_ky(SimPEG.Problem.TimeFields):
def _eDeriv(self,kyInd, src, du_dm_v, v, adjoint=False): def _eDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None: if getattr(self, '_eDeriv_u', None) is None or getattr(self, '_eDeriv_m', None) is None:
raise NotImplementedError ('Getting eDerivs from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting eDerivs from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
if adjoint: if adjoint:
return self._eDeriv_u(kyInd, src, v, adjoint), self._eDeriv_m(kyInd, src, v, adjoint) return self._eDeriv_u(kyInd, src, v, adjoint), self._eDeriv_m(kyInd, src, v, adjoint)
@@ -49,7 +49,7 @@ class Fields_ky(SimPEG.Problem.TimeFields):
def _jDeriv(self,kyInd, src, du_dm_v, v, adjoint=False): def _jDeriv(self,kyInd, src, du_dm_v, v, adjoint=False):
if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None: if getattr(self, '_jDeriv_u', None) is None or getattr(self, '_jDeriv_m', None) is None:
raise NotImplementedError ('Getting jDerivs from %s is not implemented' %self.knownFields.keys()[0]) raise NotImplementedError ('Getting jDerivs from {0!s} is not implemented'.format(self.knownFields.keys()[0]))
if adjoint: if adjoint:
return self._jDeriv_u(kyInd, src, v, adjoint), self._jDeriv_m(kyInd, src, v, adjoint) return self._jDeriv_u(kyInd, src, v, adjoint), self._jDeriv_m(kyInd, src, v, adjoint)
+2 -2
View File
@@ -46,7 +46,7 @@ class BaseDCProblem(BaseEMProblem):
du_dm_v = self.Ainv * ( - dA_dm_v + dRHS_dm_v ) du_dm_v = self.Ainv * ( - dA_dm_v + dRHS_dm_v )
for rx in src.rxList: for rx in src.rxList:
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None) df_dmFun = getattr(f, '_{0!s}Deriv'.format(rx.projField), None)
df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False) df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False)
Jv[src, rx] = rx.evalDeriv(src, self.mesh, f, df_dm_v) Jv[src, rx] = rx.evalDeriv(src, self.mesh, f, df_dm_v)
return Utils.mkvc(Jv) return Utils.mkvc(Jv)
@@ -69,7 +69,7 @@ class BaseDCProblem(BaseEMProblem):
u_src = f[src, self._solutionType] u_src = f[src, self._solutionType]
for rx in src.rxList: for rx in src.rxList:
PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None) df_duTFun = getattr(f, '_{0!s}Deriv'.format(rx.projField), None)
df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True) df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True)
ATinvdf_duT = self.Ainv * df_duT ATinvdf_duT = self.Ainv * df_duT
+2 -2
View File
@@ -60,7 +60,7 @@ class BaseDCProblem_2D(BaseEMProblem):
dRHS_dm_v = self.getRHSDeriv(ky, src, v) dRHS_dm_v = self.getRHSDeriv(ky, src, v)
du_dm_v = self.Ainv[iky] * ( - dA_dm_v + dRHS_dm_v ) du_dm_v = self.Ainv[iky] * ( - dA_dm_v + dRHS_dm_v )
for rx in src.rxList: for rx in src.rxList:
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None) df_dmFun = getattr(f, '_{0!s}Deriv'.format(rx.projField), None)
df_dm_v = df_dmFun(iky, src, du_dm_v, v, adjoint=False) df_dm_v = df_dmFun(iky, src, du_dm_v, v, adjoint=False)
# Trapezoidal intergration # Trapezoidal intergration
Jv1_temp = 1./np.pi*rx.evalDeriv(ky, src, self.mesh, f, df_dm_v) Jv1_temp = 1./np.pi*rx.evalDeriv(ky, src, self.mesh, f, df_dm_v)
@@ -101,7 +101,7 @@ class BaseDCProblem_2D(BaseEMProblem):
ky = self.kys[iky] ky = self.kys[iky]
AT = self.getA(ky) AT = self.getA(ky)
PTv = rx.evalDeriv(ky, src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m PTv = rx.evalDeriv(ky, src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None) df_duTFun = getattr(f, '_{0!s}Deriv'.format(rx.projField), None)
df_duT, df_dmT = df_duTFun(iky, src, None, PTv, adjoint=True) df_duT, df_dmT = df_duTFun(iky, src, None, PTv, adjoint=True)
ATinvdf_duT = self.Ainv[iky] * df_duT ATinvdf_duT = self.Ainv[iky] * df_duT
+2 -2
View File
@@ -56,7 +56,7 @@ class BaseIPProblem(BaseEMProblem):
du_dm_v = self.Ainv * ( - dA_dm_v + dRHS_dm_v ) du_dm_v = self.Ainv * ( - dA_dm_v + dRHS_dm_v )
for rx in src.rxList: for rx in src.rxList:
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None) df_dmFun = getattr(f, '_{0!s}Deriv'.format(rx.projField), None)
df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False) df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False)
Jv[src, rx] = rx.evalDeriv(src, self.mesh, f, df_dm_v) Jv[src, rx] = rx.evalDeriv(src, self.mesh, f, df_dm_v)
# Conductivity (d u / d log sigma) # Conductivity (d u / d log sigma)
@@ -83,7 +83,7 @@ class BaseIPProblem(BaseEMProblem):
u_src = f[src, self._solutionType] u_src = f[src, self._solutionType]
for rx in src.rxList: for rx in src.rxList:
PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx], adjoint=True) # wrt f, need possibility wrt m
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None) df_duTFun = getattr(f, '_{0!s}Deriv'.format(rx.projField), None)
df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True) df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True)
ATinvdf_duT = self.Ainv * df_duT ATinvdf_duT = self.Ainv * df_duT
dA_dmT = self.getADeriv(u_src, ATinvdf_duT, adjoint=True) dA_dmT = self.getADeriv(u_src, ATinvdf_duT, adjoint=True)
+3 -3
View File
@@ -83,7 +83,7 @@ class BaseSIPProblem(BaseEMProblem):
for rx in src.rxList: for rx in src.rxList:
timeindex = rx.getTimeP(self.survey.times) timeindex = rx.getTimeP(self.survey.times)
if timeindex[tind]: if timeindex[tind]:
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None) df_dmFun = getattr(f, '_{0!s}Deriv'.format(rx.projField), None)
df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False) df_dm_v = df_dmFun(src, du_dm_v, v, adjoint=False)
Jv[src, rx, t] = rx.evalDeriv(src, self.mesh, f, df_dm_v) Jv[src, rx, t] = rx.evalDeriv(src, self.mesh, f, df_dm_v)
@@ -122,7 +122,7 @@ class BaseSIPProblem(BaseEMProblem):
for rx in src.rxList: for rx in src.rxList:
timeindex = rx.getTimeP(self.survey.times) timeindex = rx.getTimeP(self.survey.times)
if timeindex[tind]: if timeindex[tind]:
df_dmFun = getattr(f, '_%sDeriv'%rx.projField, None) df_dmFun = getattr(f, '_{0!s}Deriv'.format(rx.projField), None)
df_dm_v0 = df_dmFun(src, du_dm_v0, v0, adjoint=False) df_dm_v0 = df_dmFun(src, du_dm_v0, v0, adjoint=False)
df_dm_v1 = df_dmFun(src, du_dm_v1, v1, adjoint=False) df_dm_v1 = df_dmFun(src, du_dm_v1, v1, adjoint=False)
Jv[src, rx, t] = rx.evalDeriv(src, self.mesh, f, df_dm_v0) Jv[src, rx, t] = rx.evalDeriv(src, self.mesh, f, df_dm_v0)
@@ -153,7 +153,7 @@ class BaseSIPProblem(BaseEMProblem):
timeindex = rx.getTimeP(self.survey.times) timeindex = rx.getTimeP(self.survey.times)
if timeindex[tind]: if timeindex[tind]:
PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx, t], adjoint=True) # wrt f, need possibility wrt m PTv = rx.evalDeriv(src, self.mesh, f, v[src, rx, t], adjoint=True) # wrt f, need possibility wrt m
df_duTFun = getattr(f, '_%sDeriv'%rx.projField, None) df_duTFun = getattr(f, '_{0!s}Deriv'.format(rx.projField), None)
df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True) df_duT, df_dmT = df_duTFun(src, None, PTv, adjoint=True)
ATinvdf_duT = self.Ainv * df_duT ATinvdf_duT = self.Ainv * df_duT
dA_dmT = self.getADeriv(u_src, ATinvdf_duT, adjoint=True) dA_dmT = self.getADeriv(u_src, ATinvdf_duT, adjoint=True)
+13 -13
View File
@@ -47,7 +47,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
self.waveformType = "GENERAL" 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 '{0!s}\nCalculating fields(m)\n{1!s}'.format('*'*50, '*'*50)
self.curModel = m self.curModel = m
# Create a fields storage object # Create a fields storage object
F = self._FieldsForward_pair(self.mesh, self.survey) F = self._FieldsForward_pair(self.mesh, self.survey)
@@ -55,7 +55,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
# Set the initial conditions # Set the initial conditions
F[src,:,0] = src.getInitialFields(self.mesh) F[src,:,0] = src.getInitialFields(self.mesh)
F = self.forward(m, self.getRHS, F=F) F = self.forward(m, self.getRHS, F=F)
if self.verbose: print '%s\nDone calculating fields(m)\n%s'%('*'*50,'*'*50) if self.verbose: print '{0!s}\nDone calculating fields(m)\n{1!s}'.format('*'*50, '*'*50)
return F return F
def forward(self, m, RHS, F=None): def forward(self, m, RHS, F=None):
@@ -70,11 +70,11 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
if Ainv is not None: if Ainv is not None:
Ainv.clean() Ainv.clean()
A = self.getA(tInd) A = self.getA(tInd)
if self.verbose: print 'Factoring... (dt = %e)'%dt if self.verbose: print 'Factoring... (dt = {0:e})'.format(dt)
Ainv = self.Solver(A, **self.solverOpts) Ainv = self.Solver(A, **self.solverOpts)
if self.verbose: print 'Done' if self.verbose: print 'Done'
rhs = RHS(tInd, F) rhs = RHS(tInd, F)
if self.verbose: print ' Solving... (tInd = %d)'%tInd if self.verbose: print ' Solving... (tInd = {0:d})'.format(tInd)
sol = Ainv * rhs sol = Ainv * rhs
if self.verbose: print ' Done...' if self.verbose: print ' Done...'
if sol.ndim == 1: if sol.ndim == 1:
@@ -95,11 +95,11 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
if Ainv is not None: if Ainv is not None:
Ainv.clean() Ainv.clean()
A = self.getA(tInd) A = self.getA(tInd)
if self.verbose: print 'Factoring (Adjoint)... (dt = %e)'%dt if self.verbose: print 'Factoring (Adjoint)... (dt = {0:e})'.format(dt)
Ainv = self.Solver(A, **self.solverOpts) Ainv = self.Solver(A, **self.solverOpts)
if self.verbose: print 'Done' if self.verbose: print 'Done'
rhs = RHS(tInd, F) rhs = RHS(tInd, F)
if self.verbose: print ' Solving (Adjoint)... (tInd = %d)'%tInd if self.verbose: print ' Solving (Adjoint)... (tInd = {0:d})'.format(tInd)
sol = Ainv * rhs sol = Ainv * rhs
if self.verbose: print ' Done...' if self.verbose: print ' Done...'
if sol.ndim == 1: if sol.ndim == 1:
@@ -112,7 +112,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
""" """
:param numpy.array m: Conductivity model :param numpy.array m: Conductivity model
:param numpy.ndarray v: vector (model object) :param numpy.ndarray v: vector (model object)
:param simpegEM.TDEM.FieldsTDEM f: Fields resulting from m :param FieldsTDEM f: Fields resulting from m
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: w (data object) :return: w (data object)
@@ -123,21 +123,21 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
* Compute \\\(\\\\vec{w} = -\\\mathbf{Q} \\\\vec{y}\\\) * Compute \\\(\\\\vec{w} = -\\\mathbf{Q} \\\\vec{y}\\\)
""" """
if self.verbose: print '%s\nCalculating J(v)\n%s'%('*'*50,'*'*50) if self.verbose: print '{0!s}\nCalculating J(v)\n{1!s}'.format('*'*50, '*'*50)
self.curModel = m self.curModel = m
if f is None: if f is None:
f = self.fields(m) f = self.fields(m)
p = self.Gvec(m, v, f) p = self.Gvec(m, v, f)
y = self.solveAh(m, p) y = self.solveAh(m, p)
Jv = self.survey.evalDeriv(f, v=y) Jv = self.survey.evalDeriv(f, v=y)
if self.verbose: print '%s\nDone calculating J(v)\n%s'%('*'*50,'*'*50) if self.verbose: print '{0!s}\nDone calculating J(v)\n{1!s}'.format('*'*50, '*'*50)
return - mkvc(Jv) return - mkvc(Jv)
def Jtvec(self, m, v, f=None): def Jtvec(self, m, v, f=None):
""" """
:param numpy.array m: Conductivity model :param numpy.array m: Conductivity model
:param numpy.ndarray,SimPEG.Survey.Data v: vector (data object) :param numpy.ndarray v: vector (or a :class:`SimPEG.Survey.Data` object)
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m :param FieldsTDEM u: Fields resulting from m
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: w (model object) :return: w (model object)
@@ -148,7 +148,7 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
* Compute \\\(\\\\vec{w} = -\\\mathbf{G}^\\\\top y\\\) * Compute \\\(\\\\vec{w} = -\\\mathbf{G}^\\\\top y\\\)
""" """
if self.verbose: print '%s\nCalculating J^T(v)\n%s'%('*'*50,'*'*50) if self.verbose: print '{0!s}\nCalculating J^T(v)\n{1!s}'.format('*'*50, '*'*50)
self.curModel = m self.curModel = m
if f is None: if f is None:
f = self.fields(m) f = self.fields(m)
@@ -159,6 +159,6 @@ class BaseTDEMProblem(BaseTimeProblem, BaseEMProblem):
p = self.survey.evalDeriv(f, v=v, adjoint=True) p = self.survey.evalDeriv(f, v=v, adjoint=True)
y = self.solveAht(m, p) y = self.solveAht(m, p)
w = self.Gtvec(m, y, f) w = self.Gtvec(m, y, f)
if self.verbose: print '%s\nDone calculating J^T(v)\n%s'%('*'*50,'*'*50) if self.verbose: print '{0!s}\nDone calculating J^T(v)\n{1!s}'.format('*'*50, '*'*50)
return - mkvc(w) return - mkvc(w)
+13 -13
View File
@@ -87,8 +87,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
""" """
:param numpy.array m: Conductivity model :param numpy.array m: Conductivity model
:param numpy.array vec: vector (like a model) :param numpy.array vec: vector (like a model)
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m :param FieldsTDEM u: Fields resulting from m
:rtype: simpegEM.TDEM.FieldsTDEM :rtype: FieldsTDEM
:return: f :return: f
Multiply G by a vector Multiply G by a vector
@@ -125,9 +125,9 @@ class ProblemTDEM_b(BaseTDEMProblem):
""" """
:param numpy.array m: Conductivity model :param numpy.array m: Conductivity model
:param numpy.array vec: vector (like a fields) :param numpy.array vec: vector (like a fields)
:param simpegEM.TDEM.FieldsTDEM u: Fields resulting from m :param FieldsTDEM u: Fields resulting from m
:rtype: np.ndarray (like a model) :rtype: numpy.ndarray
:return: p :return: p (like a model)
Multiply G.T by a vector Multiply G.T by a vector
""" """
@@ -153,8 +153,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def solveAh(self, m, p): def solveAh(self, m, p):
""" """
:param numpy.array m: Conductivity model :param numpy.array m: Conductivity model
:param simpegEM.TDEM.FieldsTDEM p: Fields object :param FieldsTDEM p: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM :rtype: FieldsTDEM
:return: y :return: y
Solve the block-matrix system \\\(\\\hat{A} \\\hat{y} = \\\hat{p}\\\): Solve the block-matrix system \\\(\\\hat{A} \\\hat{y} = \\\hat{p}\\\):
@@ -200,8 +200,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def solveAht(self, m, p): def solveAht(self, m, p):
""" """
:param numpy.array m: Conductivity model :param numpy.array m: Conductivity model
:param simpegEM.TDEM.FieldsTDEM p: Fields object :param FieldsTDEM p: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM :rtype: FieldsTDEM
:return: y :return: y
Solve the block-matrix system \\\(\\\hat{A}^\\\\top \\\hat{y} = \\\hat{p}\\\): Solve the block-matrix system \\\(\\\hat{A}^\\\\top \\\hat{y} = \\\hat{p}\\\):
@@ -270,8 +270,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def _AhVec(self, m, vec): def _AhVec(self, m, vec):
""" """
:param numpy.array m: Conductivity model :param numpy.array m: Conductivity model
:param simpegEM.TDEM.FieldsTDEM vec: Fields object :param FieldsTDEM vec: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM :rtype: FieldsTDEM
:return: f :return: f
Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where
@@ -315,8 +315,8 @@ class ProblemTDEM_b(BaseTDEMProblem):
def _AhtVec(self, m, vec): def _AhtVec(self, m, vec):
""" """
:param numpy.array m: Conductivity model :param numpy.array m: Conductivity model
:param simpegEM.TDEM.FieldsTDEM vec: Fields object :param FieldsTDEM vec: Fields object
:rtype: simpegEM.TDEM.FieldsTDEM :rtype: FieldsTDEM
:return: f :return: f
Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where Multiply the matrix \\\(\\\hat{A}\\\) by a fields vector where
+2 -2
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@@ -58,7 +58,7 @@ def getFDEMProblem(fdemType, comp, SrcList, freq, useMu=False, verbose=False):
Src.append(EM.FDEM.Src.RawVec([rx0], freq, mesh.getEdgeInnerProduct()*S_m, S_e)) Src.append(EM.FDEM.Src.RawVec([rx0], freq, mesh.getEdgeInnerProduct()*S_m, S_e))
if verbose: if verbose:
print ' Fetching %s problem' % (fdemType) print ' Fetching {0!s} problem'.format((fdemType))
if fdemType == 'e': if fdemType == 'e':
survey = EM.FDEM.Survey(Src) survey = EM.FDEM.Survey(Src)
@@ -94,7 +94,7 @@ def crossCheckTest(SrcList, fdemType1, fdemType2, comp, addrandoms = False, useM
prb1 = getFDEMProblem(fdemType1, comp, SrcList, freq, useMu, verbose) prb1 = getFDEMProblem(fdemType1, comp, SrcList, freq, useMu, verbose)
mesh = prb1.mesh mesh = prb1.mesh
print 'Cross Checking Forward: %s, %s formulations - %s' % (fdemType1, fdemType2, comp) print 'Cross Checking Forward: {0!s}, {1!s} formulations - {2!s}'.format(fdemType1, fdemType2, comp)
logsig = np.log(np.ones(mesh.nC)*CONDUCTIVITY) logsig = np.log(np.ones(mesh.nC)*CONDUCTIVITY)
mu = np.ones(mesh.nC)*MU mu = np.ones(mesh.nC)*MU
+7 -7
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@@ -1,7 +1,7 @@
from SimPEG import * from SimPEG import *
import SimPEG.DCIP as DC import SimPEG.EM.Static.DC as DC
def run(plotIt=False): def run(plotIt=True):
cs = 25. cs = 25.
hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)] hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)] hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]
@@ -21,10 +21,10 @@ def run(plotIt=False):
# ax.plot(xyz_rxP[:,0],xyz_rxP[:,1], 'w.') # ax.plot(xyz_rxP[:,0],xyz_rxP[:,1], 'w.')
# ax.plot(xyz_rxN[:,0],xyz_rxN[:,1], 'r.', ms = 3) # ax.plot(xyz_rxN[:,0],xyz_rxN[:,1], 'r.', ms = 3)
rx = DC.RxDipole(xyz_rxP, xyz_rxN) rx = DC.Rx.Dipole(xyz_rxP, xyz_rxN)
src = DC.SrcDipole([rx], [-200, 0, -12.5], [+200, 0, -12.5]) src = DC.Src.Dipole([rx], np.r_[-200, 0, -12.5], np.r_[+200, 0, -12.5])
survey = DC.SurveyDC([src]) survey = DC.Survey([src])
problem = DC.ProblemDC_CC(mesh) problem = DC.Problem3D_CC(mesh)
problem.pair(survey) problem.pair(survey)
try: try:
from pymatsolver import MumpsSolver from pymatsolver import MumpsSolver
@@ -65,4 +65,4 @@ def run(plotIt=False):
if __name__ == '__main__': if __name__ == '__main__':
print run(plotIt=True) print run()
@@ -19,10 +19,13 @@ def run(plotIt=True):
Morrison Casing Model, and the results are used in a 2016 SEG abstract by Morrison Casing Model, and the results are used in a 2016 SEG abstract by
Yang et al. Yang et al.
- Schenkel, C.J., and H.F. Morrison, 1990, Effects of well casing on potential field measurements using downhole current sources: Geophysical prospecting, 38, 663-686. .. code-block:: text
Schenkel, C.J., and H.F. Morrison, 1990, Effects of well casing on potential field measurements using downhole current sources: Geophysical prospecting, 38, 663-686.
The model consists of: The model consists of:
- Air: Conductivity 1e-8 S/m, above z = 0 - Air: Conductivity 1e-8 S/m, above z = 0
- Background: conductivity 1e-2 S/m, below z = 0 - Background: conductivity 1e-2 S/m, below z = 0
- Casing: conductivity 1e6 S/m - Casing: conductivity 1e6 S/m
@@ -107,7 +110,7 @@ def run(plotIt=True):
# Mesh # Mesh
mesh = Mesh.CylMesh([hx,1.,hz], [0.,0.,-np.sum(hz[:npadzu+ncz-nza])]) mesh = Mesh.CylMesh([hx,1.,hz], [0.,0.,-np.sum(hz[:npadzu+ncz-nza])])
print 'Mesh Extent xmax: %f,: zmin: %f, zmax: %f'%(mesh.vectorCCx.max(), mesh.vectorCCz.min(), mesh.vectorCCz.max()) print 'Mesh Extent xmax: {0:f},: zmin: {1:f}, zmax: {2:f}'.format(mesh.vectorCCx.max(), mesh.vectorCCz.min(), mesh.vectorCCz.max())
print 'Number of cells', mesh.nC print 'Number of cells', mesh.nC
if plotIt is True: if plotIt is True:
@@ -215,7 +218,7 @@ def run(plotIt=True):
# ------------ Problem and Survey --------------- # ------------ Problem and Survey ---------------
survey = FDEM.Survey(sg_p + dg_p) survey = FDEM.Survey(sg_p + dg_p)
mapping = [('sigma', Maps.IdentityMap(mesh))] mapping = [('sigma', Maps.IdentityMap(mesh))]
problem = FDEM.Problem3D_h(mesh, mapping=mapping) problem = FDEM.Problem3D_h(mesh, mapping=mapping, Solver=solver)
problem.pair(survey) problem.pair(survey)
# ------------- Solve --------------------------- # ------------- Solve ---------------------------
+3 -3
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@@ -7,7 +7,7 @@ import matplotlib.pyplot as plt
def run(plotIt=True): def run(plotIt=True):
""" """
MT: 1D: Inversion MT: 1D: Inversion
======================= =================
Forward model 1D MT data. Forward model 1D MT data.
Setup and run a MT 1D inversion. Setup and run a MT 1D inversion.
@@ -50,7 +50,7 @@ def run(plotIt=True):
m_0 = np.log(sigma_0[active]) m_0 = np.log(sigma_0[active])
# Set the mapping # Set the mapping
actMap = simpeg.Maps.ActiveCells(m1d, active, np.log(1e-8), nC=m1d.nCx) actMap = simpeg.Maps.InjectActiveCells(m1d, active, np.log(1e-8), nC=m1d.nCx)
mappingExpAct = simpeg.Maps.ExpMap(m1d) * actMap mappingExpAct = simpeg.Maps.ExpMap(m1d) * actMap
## Setup the layout of the survey, set the sources and the connected receivers ## Setup the layout of the survey, set the sources and the connected receivers
@@ -76,7 +76,7 @@ def run(plotIt=True):
survey.dobs = survey.dtrue + 0.025*abs(survey.dtrue)*np.random.randn(*survey.dtrue.shape) survey.dobs = survey.dtrue + 0.025*abs(survey.dtrue)*np.random.randn(*survey.dtrue.shape)
if plotIt: if plotIt:
fig = MT.Utils.dataUtils.plotMT1DModelData(problem) fig = MT.Utils.dataUtils.plotMT1DModelData(problem, [m_0])
fig.suptitle('Target - smooth true') fig.suptitle('Target - smooth true')
+3 -4
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@@ -12,7 +12,7 @@ except:
def run(plotIt=True, nFreq=1): def run(plotIt=True, nFreq=1):
""" """
MT: 3D: Forward MT: 3D: Forward
======================= ===============
Forward model 3D MT data. Forward model 3D MT data.
@@ -46,16 +46,15 @@ def run(plotIt=True, nFreq=1):
survey = MT.Survey(srcList) survey = MT.Survey(srcList)
## Setup the problem object ## Setup the problem object
problem = MT.Problem3D.eForm_ps(M, sigmaPrimary=sigBG) problem = MT.Problem3D.eForm_ps(M, sigmaPrimary=sigBG, Solver=Solver)
problem.pair(survey) problem.pair(survey)
problem.Solver = Solver
# Calculate the data # Calculate the data
fields = problem.fields(sig) fields = problem.fields(sig)
dataVec = survey.eval(fields) dataVec = survey.eval(fields)
# Make the data # Make the data
mtData = MT.Data(survey,dataVec) mtData = MT.Data(survey, dataVec)
# Add plots # Add plots
if plotIt: if plotIt:
pass pass
+62
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@@ -0,0 +1,62 @@
from SimPEG import Mesh, Maps, np
def run(plotIt=True):
"""
Maps: ComboMaps
===============
We will use an example where we want a 1D layered earth as
our model, but we want to map this to a 2D discretization to do our forward
modeling. We will also assume that we are working in log conductivity still,
so after the transformation we want to map to conductivity space.
To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.SurjectVertical1D`),
which does the first part of what we just described. The second part will be
done by the :class:`SimPEG.Maps.ExpMap` described above.
.. code-block:: python
:linenos:
M = Mesh.TensorMesh([7,5])
v1dMap = Maps.SurjectVertical1D(M)
expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
sig = myMap * m
If you noticed, it was pretty easy to combine maps. What is even cooler is
that the derivatives also are made for you (if everything goes right).
Just to be sure that the derivative is correct, you should always run the test
on the mapping that you create.
"""
M = Mesh.TensorMesh([7,5])
v1dMap = Maps.SurjectVertical1D(M)
expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
sig = myMap * m
if not plotIt: return
import matplotlib.pyplot as plt
figs, axs = plt.subplots(1,2)
axs[0].plot(m, M.vectorCCy, 'b-o')
axs[0].set_title('Model')
axs[0].set_ylabel('Depth, y')
axs[0].set_xlabel('Value, $m_i$')
axs[0].set_xlim(0,3)
axs[0].set_ylim(0,1)
clbar = plt.colorbar(M.plotImage(sig,ax=axs[1],grid=True,gridOpts=dict(color='grey'))[0])
axs[1].set_title('Physical Property')
axs[1].set_ylabel('Depth, y')
clbar.set_label('$\sigma = \exp(\mathbf{P}m)$')
plt.tight_layout()
plt.show()
if __name__ == '__main__':
run()
+41
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@@ -0,0 +1,41 @@
from SimPEG import Mesh, Maps, Utils
def run(plotIt=True):
"""
Maps: Mesh2Mesh
===============
This mapping allows you to go from one mesh to another.
"""
M = Mesh.TensorMesh([100,100])
h1 = Utils.meshTensor([(6,7,-1.5),(6,10),(6,7,1.5)])
h1 = h1/h1.sum()
M2 = Mesh.TensorMesh([h1,h1])
V = Utils.ModelBuilder.randomModel(M.vnC, seed=79, its=50)
v = Utils.mkvc(V)
modh = Maps.Mesh2Mesh([M,M2])
modH = Maps.Mesh2Mesh([M2,M])
H = modH * v
h = modh * H
if not plotIt: return
import matplotlib.pyplot as plt
ax = plt.subplot(131)
M.plotImage(v, ax=ax)
ax.set_title('Fine Mesh (Original)')
ax = plt.subplot(132)
M2.plotImage(H,clim=[0,1],ax=ax)
ax.set_title('Course Mesh')
ax = plt.subplot(133)
M.plotImage(h,clim=[0,1],ax=ax)
ax.set_title('Fine Mesh (Interpolated)')
plt.show()
if __name__ == '__main__':
run()
@@ -98,7 +98,7 @@ def run(plotIt=True, n=60):
ii = int(ii) ii = int(ii)
out = M.plotImage(PHIS[ii][1],ax=ax) out = M.plotImage(PHIS[ii][1],ax=ax)
ax.axis('off') ax.axis('off')
ax.set_title('Elapsed Time: %4.1f'%PHIS[ii][0]) ax.set_title('Elapsed Time: {0:4.1f}'.format(PHIS[ii][0]))
plt.show() plt.show()
if __name__ == '__main__': if __name__ == '__main__':
+3 -3
View File
@@ -29,15 +29,15 @@ def run(plotIt=True, n=60):
axes[0].set_ylim([-1,17]) axes[0].set_ylim([-1,17])
for ii, loc in zip(range(M.nC),M.gridCC): for ii, loc in zip(range(M.nC),M.gridCC):
axes[0].text(loc[0]+0.2,loc[1],'%d'%ii, color='r') axes[0].text(loc[0]+0.2,loc[1],'{0:d}'.format(ii), color='r')
axes[0].plot(M.gridFx[:,0],M.gridFx[:,1], 'g>') axes[0].plot(M.gridFx[:,0],M.gridFx[:,1], 'g>')
for ii, loc in zip(range(M.nFx),M.gridFx): for ii, loc in zip(range(M.nFx),M.gridFx):
axes[0].text(loc[0]+0.2,loc[1],'%d'%ii, color='g') axes[0].text(loc[0]+0.2,loc[1],'{0:d}'.format(ii), color='g')
axes[0].plot(M.gridFy[:,0],M.gridFy[:,1], 'm^') axes[0].plot(M.gridFy[:,0],M.gridFy[:,1], 'm^')
for ii, loc in zip(range(M.nFy),M.gridFy): for ii, loc in zip(range(M.nFy),M.gridFy):
axes[0].text(loc[0]+0.2,loc[1]+0.2,'%d'%(ii+M.nFx), color='m') axes[0].text(loc[0]+0.2,loc[1]+0.2,'{0:d}'.format((ii+M.nFx)), color='m')
axes[1].spy(M.faceDiv) axes[1].spy(M.faceDiv)
axes[1].set_title('Face Divergence') axes[1].set_title('Face Divergence')
+9 -7
View File
@@ -2,8 +2,12 @@ from SimPEG import *
from SimPEG.Utils import surface2ind_topo from SimPEG.Utils import surface2ind_topo
def run(plotIt=False, nx = 5, ny = 5): def run(plotIt=True, nx=5, ny=5):
""" """
Utils: surface2ind_topo
=======================
Here we show how to use :code:`Utils.surface2ind_topo` to identify cells below Here we show how to use :code:`Utils.surface2ind_topo` to identify cells below
a topographic surface. a topographic surface.
@@ -13,27 +17,25 @@ def run(plotIt=False, nx = 5, ny = 5):
xtopo = np.linspace(mesh.gridN[:,0].min(), mesh.gridN[:,0].max()) xtopo = np.linspace(mesh.gridN[:,0].min(), mesh.gridN[:,0].max())
topo = 0.4*np.sin(xtopo*5) # define a topographic surface topo = 0.4*np.sin(xtopo*5) # define a topographic surface
Topo = np.hstack([Utils.mkvc(xtopo,2),Utils.mkvc(topo,2)]) #make it an array Topo = np.hstack([Utils.mkvc(xtopo,2), Utils.mkvc(topo,2)]) #make it an array
indcc = surface2ind_topo(mesh, Topo,'CC') indcc = surface2ind_topo(mesh, Topo, 'CC')
if plotIt: if plotIt:
from matplotlib.pylab import plt from matplotlib.pylab import plt
from scipy.interpolate import interp1d from scipy.interpolate import interp1d
fig, ax = plt.subplots(1,1,figsize=(6,6)) fig, ax = plt.subplots(1,1, figsize=(6,6))
mesh.plotGrid(ax=ax, nodes=True, centers=True) mesh.plotGrid(ax=ax, nodes=True, centers=True)
ax.plot(xtopo,topo,'k',linewidth=1) ax.plot(xtopo,topo,'k',linewidth=1)
# ax.plot(mesh.vectorNx, interp1d(xtopo,topo)(mesh.vectorNx),'--k',linewidth=3)
ax.plot(mesh.vectorCCx, interp1d(xtopo,topo)(mesh.vectorCCx),'--k',linewidth=3) ax.plot(mesh.vectorCCx, interp1d(xtopo,topo)(mesh.vectorCCx),'--k',linewidth=3)
aveN2CC = Utils.sdiag(mesh.aveN2CC.T.sum(1))*mesh.aveN2CC.T aveN2CC = Utils.sdiag(mesh.aveN2CC.T.sum(1))*mesh.aveN2CC.T
a = aveN2CC * indcc a = aveN2CC * indcc
a[a > 0] = 1. a[a > 0] = 1.
a[a < 0.25] = np.nan a[a < 0.25] = np.nan
a = a.reshape(mesh.vnN, order='F') a = a.reshape(mesh.vnN, order='F')
masked_array = np.ma.array(a, mask=np.isnan(a)) masked_array = np.ma.array(a, mask=np.isnan(a))
ax.pcolor(mesh.vectorNx,mesh.vectorNy,masked_array.T, cmap = plt.cm.gray,alpha=0.2) ax.pcolor(mesh.vectorNx,mesh.vectorNy,masked_array.T, cmap=plt.cm.gray, alpha=0.2)
plt.show() plt.show()
+13 -11
View File
@@ -10,6 +10,8 @@ import EM_TDEM_1D_Inversion
import FLOW_Richards_1D_Celia1990 import FLOW_Richards_1D_Celia1990
import Inversion_IRLS import Inversion_IRLS
import Inversion_Linear import Inversion_Linear
import Maps_ComboMaps
import Maps_Mesh2Mesh
import Mesh_Basic_ForwardDC import Mesh_Basic_ForwardDC
import Mesh_Basic_PlotImage import Mesh_Basic_PlotImage
import Mesh_Basic_Types import Mesh_Basic_Types
@@ -22,7 +24,7 @@ import MT_1D_ForwardAndInversion
import MT_3D_Foward import MT_3D_Foward
import Utils_surface2ind_topo import Utils_surface2ind_topo
__examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Inversion_IRLS", "Inversion_Linear", "Mesh_Basic_ForwardDC", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward", "Utils_surface2ind_topo"] __examples__ = ["DC_Analytic_Dipole", "DC_Forward_PseudoSection", "EM_FDEM_1D_Inversion", "EM_FDEM_Analytic_MagDipoleWholespace", "EM_Schenkel_Morrison_Casing", "EM_TDEM_1D_Inversion", "FLOW_Richards_1D_Celia1990", "Inversion_IRLS", "Inversion_Linear", "Maps_ComboMaps", "Maps_Mesh2Mesh", "Mesh_Basic_ForwardDC", "Mesh_Basic_PlotImage", "Mesh_Basic_Types", "Mesh_Operators_CahnHilliard", "Mesh_QuadTree_Creation", "Mesh_QuadTree_FaceDiv", "Mesh_QuadTree_HangingNodes", "Mesh_Tensor_Creation", "MT_1D_ForwardAndInversion", "MT_3D_Foward", "Utils_surface2ind_topo"]
##### AUTOIMPORTS ##### ##### AUTOIMPORTS #####
@@ -38,7 +40,7 @@ if __name__ == '__main__':
# Create the examples dir in the docs folder. # Create the examples dir in the docs folder.
fName = os.path.realpath(__file__) fName = os.path.realpath(__file__)
docExamplesDir = os.path.sep.join(fName.split(os.path.sep)[:-3] + ['docs', 'examples']) docExamplesDir = os.path.sep.join(fName.split(os.path.sep)[:-3] + ['docs', 'content', 'examples'])
shutil.rmtree(docExamplesDir) shutil.rmtree(docExamplesDir)
os.makedirs(docExamplesDir) os.makedirs(docExamplesDir)
@@ -57,7 +59,7 @@ if __name__ == '__main__':
if line == "##### AUTOIMPORTS #####\n": if line == "##### AUTOIMPORTS #####\n":
inimports = not inimports inimports = not inimports
if inimports: if inimports:
out += '\n'.join(["import %s"%_ for _ in exfiles]) out += '\n'.join(["import {0!s}".format(_) for _ in exfiles])
out += '\n\n__examples__ = ["' + '", "'.join(exfiles)+ '"]\n' out += '\n\n__examples__ = ["' + '", "'.join(exfiles)+ '"]\n'
out += '\n##### AUTOIMPORTS #####\n' out += '\n##### AUTOIMPORTS #####\n'
f.close() f.close()
@@ -74,11 +76,11 @@ if __name__ == '__main__':
docstr = runFunction.__doc__ docstr = runFunction.__doc__
if docstr is None: if docstr is None:
doc = '%s\n%s'%(name.replace('_',' '),'='*len(name)) doc = '{0!s}\n{1!s}'.format(name.replace('_',' '), '='*len(name))
else: else:
doc = '\n'.join([_[8:].rstrip() for _ in docstr.split('\n')]) doc = '\n'.join([_[8:].rstrip() for _ in docstr.split('\n')])
out = """.. _examples_%s: out = """.. _examples_{0!s}:
.. --------------------------------- .. .. --------------------------------- ..
.. .. .. ..
@@ -88,21 +90,21 @@ if __name__ == '__main__':
.. .. .. ..
.. --------------------------------- .. .. --------------------------------- ..
%s {1!s}
.. plot:: .. plot::
from SimPEG import Examples from SimPEG import Examples
Examples.%s.run() Examples.{2!s}.run()
.. literalinclude:: ../../SimPEG/Examples/%s.py .. literalinclude:: ../../../SimPEG/Examples/{3!s}.py
:language: python :language: python
:linenos: :linenos:
"""%(name,doc,name,name) """.format(name, doc, name, name)
rst = os.path.sep.join((filePath.split(os.path.sep)[:-3] + ['docs', 'examples', name + '.rst'])) rst = os.path.sep.join((filePath.split(os.path.sep)[:-3] + ['docs', 'content', 'examples', name + '.rst']))
print 'Creating: %s.rst'%name print 'Creating: {0!s}.rst'.format(name)
f = open(rst, 'w') f = open(rst, 'w')
f.write(out) f.write(out)
f.close() f.close()
+3 -3
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@@ -31,7 +31,7 @@ class NonLinearMap(object):
""" """
:param numpy.array u: fields :param numpy.array u: fields
:param numpy.array m: model :param numpy.array m: model
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model :return: derivative of transformed model
The *transform* changes the model into the physical property. The *transform* changes the model into the physical property.
@@ -44,7 +44,7 @@ class NonLinearMap(object):
""" """
:param numpy.array u: fields :param numpy.array u: fields
:param numpy.array m: model :param numpy.array m: model
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model :return: derivative of transformed model
The *transform* changes the model into the physical property. The *transform* changes the model into the physical property.
@@ -116,7 +116,7 @@ class RichardsMap(object):
ax.semilogx(self.k(h, m), h) ax.semilogx(self.k(h, m), h)
def _assertMatchesPair(self, pair): def _assertMatchesPair(self, pair):
assert isinstance(self, pair), "Mapping object must be an instance of a %s class."%(pair.__name__) assert isinstance(self, pair), "Mapping object must be an instance of a {0!s} class.".format((pair.__name__))
+1 -1
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@@ -140,7 +140,7 @@ class RichardsProblem(Problem.BaseTimeProblem):
for ii, dt in enumerate(self.timeSteps): for ii, dt in enumerate(self.timeSteps):
bc = self.getBoundaryConditions(ii, u[ii]) bc = self.getBoundaryConditions(ii, u[ii])
u[ii+1] = self.rootFinder.root(lambda hn1m, return_g=True: self.getResidual(m, u[ii], hn1m, dt, bc, return_g=return_g), u[ii]) u[ii+1] = self.rootFinder.root(lambda hn1m, return_g=True: self.getResidual(m, u[ii], hn1m, dt, bc, return_g=return_g), u[ii])
if self.debug: print "Solving Fields (%4d/%d - %3.1f%% Done) %d Iterations, %4.2f seconds"%(ii+1, self.nT, 100.0*(ii+1)/self.nT, self.rootFinder.iter, time.time() - tic) if self.debug: print "Solving Fields ({0:4d}/{1:d} - {2:3.1f}% Done) {3:d} Iterations, {4:4.2f} seconds".format(ii+1, self.nT, 100.0*(ii+1)/self.nT, self.rootFinder.iter, time.time() - tic)
return u return u
@Utils.timeIt @Utils.timeIt
+4 -4
View File
@@ -37,7 +37,7 @@ class Fields(object):
for f in self.knownFields: for f in self.knownFields:
loc =self.knownFields[f] loc =self.knownFields[f]
sz += np.array(self._storageShape(loc)).prod()*8.0/(1024**2) sz += np.array(self._storageShape(loc)).prod()*8.0/(1024**2)
return "%e MB"%sz return "{0:e} MB".format(sz)
def _storageShape(self, loc): def _storageShape(self, loc):
nSrc = self.survey.nSrc nSrc = self.survey.nSrc
@@ -84,12 +84,12 @@ class Fields(object):
return return
if accessType=='set' and name not in self.knownFields: if accessType=='set' and name not in self.knownFields:
if name in self.aliasFields: if name in self.aliasFields:
raise KeyError("Invalid field name (%s) for setter, you can't set an aliased property"%name) raise KeyError("Invalid field name ({0!s}) for setter, you can't set an aliased property".format(name))
else: else:
raise KeyError('Invalid field name (%s) for setter'%name) raise KeyError('Invalid field name ({0!s}) for setter'.format(name))
elif accessType=='get' and (name not in self.knownFields and name not in self.aliasFields): elif accessType=='get' and (name not in self.knownFields and name not in self.aliasFields):
raise KeyError('Invalid field name (%s) for getter'%name) raise KeyError('Invalid field name ({0!s}) for getter'.format(name))
return name return name
def _indexAndNameFromKey(self, key, accessType): def _indexAndNameFromKey(self, key, accessType):
+2 -2
View File
@@ -86,7 +86,7 @@ class polxy_1Dprimary(BaseMTSrc):
Get the electrical field source Get the electrical field source
""" """
e_p = self.ePrimary(problem) e_p = self.ePrimary(problem)
Map_sigma_p = Maps.Vertical1DMap(problem.mesh) Map_sigma_p = Maps.SurjectVertical1D(problem.mesh)
sigma_p = Map_sigma_p._transform(self.sigma1d) sigma_p = Map_sigma_p._transform(self.sigma1d)
# Make mass matrix # Make mass matrix
# Note: M(sig) - M(sig_p) = M(sig - sig_p) # Note: M(sig) - M(sig_p) = M(sig - sig_p)
@@ -163,7 +163,7 @@ class polxy_3Dprimary(BaseMTSrc):
Get the electrical field source Get the electrical field source
""" """
e_p = self.ePrimary(problem) e_p = self.ePrimary(problem)
Map_sigma_p = Maps.Vertical1DMap(problem.mesh) Map_sigma_p = Maps.SurjectVertical1D(problem.mesh)
sigma_p = Map_sigma_p._transform(self.sigma1d) sigma_p = Map_sigma_p._transform(self.sigma1d)
# Make mass matrix # Make mass matrix
# Note: M(sig) - M(sig_p) = M(sig - sig_p) # Note: M(sig) - M(sig_p) = M(sig - sig_p)
+6 -6
View File
@@ -19,7 +19,7 @@ def getAppRes(MTdata):
zList.append(zc) zList.append(zc)
return [appResPhs(zList[i][0],np.sum(zList[i][1:3])) for i in np.arange(len(zList))] return [appResPhs(zList[i][0],np.sum(zList[i][1:3])) for i in np.arange(len(zList))]
def rotateData(MTdata,rotAngle): def rotateData(MTdata, rotAngle):
''' '''
Function that rotates clockwist by rotAngle (- negative for a counter-clockwise rotation) Function that rotates clockwist by rotAngle (- negative for a counter-clockwise rotation)
''' '''
@@ -44,19 +44,19 @@ def rotateData(MTdata,rotAngle):
return MT.Data.fromRecArray(outRec) return MT.Data.fromRecArray(outRec)
def appResPhs(freq,z): def appResPhs(freq, z):
app_res = ((1./(8e-7*np.pi**2))/freq)*np.abs(z)**2 app_res = ((1./(8e-7*np.pi**2))/freq)*np.abs(z)**2
app_phs = np.arctan2(z.imag,z.real)*(180/np.pi) app_phs = np.arctan2(z.imag,z.real)*(180/np.pi)
return app_res, app_phs return app_res, app_phs
def skindepth(rho,freq): def skindepth(rho, freq):
''' Function to calculate the skindepth of EM waves''' ''' Function to calculate the skindepth of EM waves'''
return np.sqrt( (rho*((1/(freq * mu_0 * np.pi ))))) return np.sqrt( (rho*((1/(freq * mu_0 * np.pi )))))
def rec2ndarr(x,dt=float): def rec2ndarr(x, dt=float):
return x.view((dt, len(x.dtype.names))) return x.view((dt, len(x.dtype.names)))
def makeAnalyticSolution(mesh,model,elev,freqs): def makeAnalyticSolution(mesh, model, elev, freqs):
from SimPEG import MT from SimPEG import MT
data1D = [] data1D = []
for freq in freqs: for freq in freqs:
@@ -70,7 +70,7 @@ def makeAnalyticSolution(mesh,model,elev,freqs):
dataRec = np.array(data1D,dtype=[('freq',float),('x',float),('y',float),('z',float),('zyx',complex)]) dataRec = np.array(data1D,dtype=[('freq',float),('x',float),('y',float),('z',float),('zyx',complex)])
return dataRec return dataRec
def plotMT1DModelData(problem,models,symList=None): def plotMT1DModelData(problem, models, symList=None):
from SimPEG import MT from SimPEG import MT
# Setup the figure # Setup the figure
fontSize = 15 fontSize = 15
+13 -13
View File
@@ -41,8 +41,8 @@ class IdentityMap(object):
If this is a meshless mapping (i.e. nP is defined independently) If this is a meshless mapping (i.e. nP is defined independently)
the shape will be the the shape (nP,nP). the shape will be the the shape (nP,nP).
:rtype: (int,int) :rtype: tuple
:return: shape of the operator as a tuple :return: shape of the operator as a tuple (int,int)
""" """
if self._nP is not None: if self._nP is not None:
return (self.nP, self.nP) return (self.nP, self.nP)
@@ -86,7 +86,7 @@ class IdentityMap(object):
The derivative of the transformation. The derivative of the transformation.
:param numpy.array m: model :param numpy.array m: model
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model :return: derivative of transformed model
""" """
@@ -101,7 +101,7 @@ class IdentityMap(object):
:return: passed the test? :return: passed the test?
""" """
print 'Testing %s' % str(self) print 'Testing {0!s}'.format(str(self))
if m is None: if m is None:
m = abs(np.random.rand(self.nP)) m = abs(np.random.rand(self.nP))
if 'plotIt' not in kwargs: if 'plotIt' not in kwargs:
@@ -111,21 +111,21 @@ class IdentityMap(object):
def _assertMatchesPair(self, pair): def _assertMatchesPair(self, pair):
assert (isinstance(self, pair) or assert (isinstance(self, pair) or
isinstance(self, ComboMap) and isinstance(self.maps[0], pair) isinstance(self, ComboMap) and isinstance(self.maps[0], pair)
), "Mapping object must be an instance of a %s class."%(pair.__name__) ), "Mapping object must be an instance of a {0!s} class.".format((pair.__name__))
def __mul__(self, val): def __mul__(self, val):
if isinstance(val, IdentityMap): if isinstance(val, IdentityMap):
if not (self.shape[1] == '*' or val.shape[0] == '*') and not self.shape[1] == val.shape[0]: if not (self.shape[1] == '*' or val.shape[0] == '*') and not self.shape[1] == val.shape[0]:
raise ValueError('Dimension mismatch in %s and %s.' % (str(self), str(val))) raise ValueError('Dimension mismatch in {0!s} and {1!s}.'.format(str(self), str(val)))
return ComboMap([self, val]) return ComboMap([self, val])
elif isinstance(val, np.ndarray): elif isinstance(val, np.ndarray):
if not self.shape[1] == '*' and not self.shape[1] == val.shape[0]: if not self.shape[1] == '*' and not self.shape[1] == val.shape[0]:
raise ValueError('Dimension mismatch in %s and np.ndarray%s.' % (str(self), str(val.shape))) raise ValueError('Dimension mismatch in {0!s} and np.ndarray{1!s}.'.format(str(self), str(val.shape)))
return self._transform(val) return self._transform(val)
raise Exception('Unrecognized data type to multiply. Try a map or a numpy.ndarray!') raise Exception('Unrecognized data type to multiply. Try a map or a numpy.ndarray!')
def __str__(self): def __str__(self):
return "%s(%s,%s)" % (self.__class__.__name__, self.shape[0], self.shape[1]) return "{0!s}({1!s},{2!s})".format(self.__class__.__name__, self.shape[0], self.shape[1])
class ComboMap(IdentityMap): class ComboMap(IdentityMap):
@@ -140,7 +140,7 @@ class ComboMap(IdentityMap):
if ii > 0 and not (self.shape[1] == '*' or m.shape[0] == '*') and not self.shape[1] == m.shape[0]: if ii > 0 and not (self.shape[1] == '*' or m.shape[0] == '*') and not self.shape[1] == m.shape[0]:
prev = self.maps[-1] prev = self.maps[-1]
errArgs = (prev.__class__.__name__, prev.shape[0], prev.shape[1], m.__class__.__name__, m.shape[0], m.shape[1]) errArgs = (prev.__class__.__name__, prev.shape[0], prev.shape[1], m.__class__.__name__, m.shape[0], m.shape[1])
raise ValueError('Dimension mismatch in map[%s] (%s, %s) and map[%s] (%s, %s).' % errArgs) raise ValueError('Dimension mismatch in map[{0!s}] ({1!s}, {2!s}) and map[{3!s}] ({4!s}, {5!s}).'.format(*errArgs))
if isinstance(m, ComboMap): if isinstance(m, ComboMap):
self.maps += m.maps self.maps += m.maps
@@ -173,7 +173,7 @@ class ComboMap(IdentityMap):
return deriv return deriv
def __str__(self): def __str__(self):
return 'ComboMap[%s](%s,%s)' % (' * '.join([m.__str__() for m in self.maps]), self.shape[0], self.shape[1]) return 'ComboMap[{0!s}]({1!s},{2!s})'.format(' * '.join([m.__str__() for m in self.maps]), self.shape[0], self.shape[1])
class ExpMap(IdentityMap): class ExpMap(IdentityMap):
@@ -216,7 +216,7 @@ class ExpMap(IdentityMap):
def deriv(self, m): def deriv(self, m):
""" """
:param numpy.array m: model :param numpy.array m: model
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model :return: derivative of transformed model
The *transform* changes the model into the physical property. The *transform* changes the model into the physical property.
@@ -366,7 +366,7 @@ class SurjectVertical1D(IdentityMap):
def deriv(self, m): def deriv(self, m):
""" """
:param numpy.array m: model :param numpy.array m: model
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model :return: derivative of transformed model
""" """
repNum = self.mesh.vnC[:self.mesh.dim-1].prod() repNum = self.mesh.vnC[:self.mesh.dim-1].prod()
@@ -427,7 +427,7 @@ class Surject2Dto3D(IdentityMap):
def deriv(self, m): def deriv(self, m):
""" """
:param numpy.array m: model :param numpy.array m: model
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: derivative of transformed model :return: derivative of transformed model
""" """
inds = self * np.arange(self.nP) inds = self * np.arange(self.nP)
+27 -25
View File
@@ -7,8 +7,8 @@ class BaseMesh(object):
BaseMesh does all the counting you don't want to do. BaseMesh does all the counting you don't want to do.
BaseMesh should be inherited by meshes with a regular structure. BaseMesh should be inherited by meshes with a regular structure.
:param numpy.array,list n: number of cells in each direction (dim, ) :param numpy.array n: (or list) number of cells in each direction (dim, )
:param numpy.array,list x0: Origin of the mesh (dim, ) :param numpy.array x0: (or list) Origin of the mesh (dim, )
""" """
@@ -34,8 +34,8 @@ class BaseMesh(object):
""" """
Origin of the mesh Origin of the mesh
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: x0 :return: x0, (dim, )
""" """
return self._x0 return self._x0
@@ -116,8 +116,8 @@ class BaseMesh(object):
""" """
Total number of edges in each direction Total number of edges in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: [nEx, nEy, nEz] :return: [nEx, nEy, nEz], (dim, )
.. plot:: .. plot::
:include-source: :include-source:
@@ -173,8 +173,8 @@ class BaseMesh(object):
""" """
Total number of faces in each direction Total number of faces in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: [nFx, nFy, nFz] :return: [nFx, nFy, nFz], (dim, )
.. plot:: .. plot::
:include-source: :include-source:
@@ -200,8 +200,8 @@ class BaseMesh(object):
""" """
Face Normals Face Normals
:rtype: numpy.array (sum(nF), dim) :rtype: numpy.array
:return: normals :return: normals, (sum(nF), dim)
""" """
if self.dim == 2: if self.dim == 2:
nX = np.c_[np.ones(self.nFx), np.zeros(self.nFx)] nX = np.c_[np.ones(self.nFx), np.zeros(self.nFx)]
@@ -218,8 +218,8 @@ class BaseMesh(object):
""" """
Edge Tangents Edge Tangents
:rtype: numpy.array (sum(nE), dim) :rtype: numpy.array
:return: normals :return: normals, (sum(nE), dim)
""" """
if self.dim == 2: if self.dim == 2:
tX = np.c_[np.ones(self.nEx), np.zeros(self.nEx)] tX = np.c_[np.ones(self.nEx), np.zeros(self.nEx)]
@@ -236,8 +236,9 @@ class BaseMesh(object):
Given a vector, fV, in cartesian coordinates, this will project it onto the mesh using the normals 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) :param numpy.array fV: face vector with shape (nF, dim)
:rtype: numpy.array with shape (nF, ) :rtype: numpy.array
:return: projected face vector :return: projected face vector, (nF, )
""" """
assert isinstance(fV, np.ndarray), 'fV must be an ndarray' assert isinstance(fV, np.ndarray), 'fV must be an ndarray'
assert len(fV.shape) == 2 and fV.shape[0] == self.nF and fV.shape[1] == self.dim, 'fV must be an ndarray of shape (nF x dim)' assert len(fV.shape) == 2 and fV.shape[0] == self.nF and fV.shape[1] == self.dim, 'fV must be an ndarray of shape (nF x dim)'
@@ -248,8 +249,9 @@ class BaseMesh(object):
Given a vector, eV, in cartesian coordinates, this will project it onto the mesh using the tangents 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) :param numpy.array eV: edge vector with shape (nE, dim)
:rtype: numpy.array with shape (nE, ) :rtype: numpy.array
:return: projected edge vector :return: projected edge vector, (nE, )
""" """
assert isinstance(eV, np.ndarray), 'eV must be an ndarray' assert isinstance(eV, np.ndarray), 'eV must be an ndarray'
assert len(eV.shape) == 2 and eV.shape[0] == self.nE and eV.shape[1] == self.dim, 'eV must be an ndarray of shape (nE x dim)' assert len(eV.shape) == 2 and eV.shape[0] == self.nE and eV.shape[1] == self.dim, 'eV must be an ndarray of shape (nE x dim)'
@@ -295,7 +297,7 @@ class BaseRectangularMesh(BaseMesh):
""" """
Total number of cells in each direction Total number of cells in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: [nCx, nCy, nCz] :return: [nCx, nCy, nCz]
""" """
return np.array([x for x in [self.nCx, self.nCy, self.nCz] if not x is None]) return np.array([x for x in [self.nCx, self.nCy, self.nCz] if not x is None])
@@ -335,7 +337,7 @@ class BaseRectangularMesh(BaseMesh):
""" """
Total number of nodes in each direction Total number of nodes in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: [nNx, nNy, nNz] :return: [nNx, nNy, nNz]
""" """
return np.array([x for x in [self.nNx, self.nNy, self.nNz] if not x is None]) return np.array([x for x in [self.nNx, self.nNy, self.nNz] if not x is None])
@@ -345,7 +347,7 @@ class BaseRectangularMesh(BaseMesh):
""" """
Number of x-edges in each direction Number of x-edges in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: vnEx :return: vnEx
""" """
return np.array([x for x in [self.nCx, self.nNy, self.nNz] if not x is None]) return np.array([x for x in [self.nCx, self.nNy, self.nNz] if not x is None])
@@ -355,7 +357,7 @@ class BaseRectangularMesh(BaseMesh):
""" """
Number of y-edges in each direction Number of y-edges in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: vnEy or None if dim < 2 :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]) return None if self.dim < 2 else np.array([x for x in [self.nNx, self.nCy, self.nNz] if not x is None])
@@ -365,7 +367,7 @@ class BaseRectangularMesh(BaseMesh):
""" """
Number of z-edges in each direction Number of z-edges in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: vnEz or None if dim < 3 :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]) return None if self.dim < 3 else np.array([x for x in [self.nNx, self.nNy, self.nCz] if not x is None])
@@ -375,7 +377,7 @@ class BaseRectangularMesh(BaseMesh):
""" """
Number of x-faces in each direction Number of x-faces in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: vnFx :return: vnFx
""" """
return np.array([x for x in [self.nNx, self.nCy, self.nCz] if not x is None]) return np.array([x for x in [self.nNx, self.nCy, self.nCz] if not x is None])
@@ -385,7 +387,7 @@ class BaseRectangularMesh(BaseMesh):
""" """
Number of y-faces in each direction Number of y-faces in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: vnFy or None if dim < 2 :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]) return None if self.dim < 2 else np.array([x for x in [self.nCx, self.nNy, self.nCz] if not x is None])
@@ -395,7 +397,7 @@ class BaseRectangularMesh(BaseMesh):
""" """
Number of z-faces in each direction Number of z-faces in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: vnFz or None if dim < 3 :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]) return None if self.dim < 3 else np.array([x for x in [self.nCx, self.nCy, self.nNz] if not x is None])
@@ -520,7 +522,7 @@ class BaseRectangularMesh(BaseMesh):
assert xType in outType, 'You cannot change type of components.' assert xType in outType, 'You cannot change type of components.'
if type(x) == list: if type(x) == list:
for i, xi in enumerate(x): for i, xi in enumerate(x):
assert isinstance(x, np.ndarray), "x[%i] must be a numpy array" % i assert isinstance(x, np.ndarray), "x[{0:d}] must be a numpy array".format(i)
assert xi.size == x[0].size, "Number of elements in list must not change." assert xi.size == x[0].size, "Number of elements in list must not change."
x_array = np.ones((x.size, len(x))) x_array = np.ones((x.size, len(x)))
+255 -223
View File
@@ -4,14 +4,28 @@ from DiffOperators import DiffOperators
from InnerProducts import InnerProducts from InnerProducts import InnerProducts
from View import CurvView from View import CurvView
# Some helper functions. # Some helper functions.
length2D = lambda x: (x[:, 0]**2 + x[:, 1]**2)**0.5 def length2D(x):
length3D = lambda x: (x[:, 0]**2 + x[:, 1]**2 + x[:, 2]**2)**0.5 return (x[:, 0]**2 + x[:, 1]**2)**0.5
normalize2D = lambda x: x/np.kron(np.ones((1, 2)), Utils.mkvc(length2D(x), 2))
normalize3D = lambda x: x/np.kron(np.ones((1, 3)), Utils.mkvc(length3D(x), 2))
class CurvilinearMesh(BaseRectangularMesh, DiffOperators, InnerProducts, CurvView): def length3D(x):
return (x[:, 0]**2 + x[:, 1]**2 + x[:, 2]**2)**0.5
def normalize2D(x):
return x/np.kron(np.ones((1, 2)), Utils.mkvc(length2D(x), 2))
def normalize3D(x):
return x/np.kron(np.ones((1, 3)), Utils.mkvc(length3D(x), 2))
# Curvi Mesh
class CurvilinearMesh(BaseRectangularMesh, DiffOperators, InnerProducts,
CurvView):
""" """
CurvilinearMesh is a mesh class that deals with curvilinear meshes. CurvilinearMesh is a mesh class that deals with curvilinear meshes.
@@ -31,12 +45,16 @@ class CurvilinearMesh(BaseRectangularMesh, DiffOperators, InnerProducts, CurvVie
_meshType = 'Curv' _meshType = 'Curv'
def __init__(self, nodes): def __init__(self, nodes):
assert type(nodes) == list, "'nodes' variable must be a list of np.ndarray" assert type(nodes) == list, ("'nodes' variable must be a list of "
"np.ndarray")
assert len(nodes) > 1, "len(node) must be greater than 1" assert len(nodes) > 1, "len(node) must be greater than 1"
for i, nodes_i in enumerate(nodes): for i, nodes_i in enumerate(nodes):
assert isinstance(nodes_i, np.ndarray), ("nodes[%i] is not a numpy array." % i) assert isinstance(nodes_i, np.ndarray), ("nodes[{0:d}] is not a"
assert nodes_i.shape == nodes[0].shape, ("nodes[%i] is not the same shape as nodes[0]" % i) "numpy array.".format(i))
assert nodes_i.shape == nodes[0].shape, ("nodes[{0:d}] is not the "
"same shape as nodes[0]"
.format(i))
assert len(nodes[0].shape) == len(nodes), "Dimension mismatch" assert len(nodes[0].shape) == len(nodes), "Dimension mismatch"
assert len(nodes[0].shape) > 1, "Not worth using Curv for a 1D mesh." assert len(nodes[0].shape) > 1, "Not worth using Curv for a 1D mesh."
@@ -48,121 +66,113 @@ class CurvilinearMesh(BaseRectangularMesh, DiffOperators, InnerProducts, CurvVie
for i, node_i in enumerate(nodes): for i, node_i in enumerate(nodes):
self._gridN[:, i] = Utils.mkvc(node_i.astype(float)) self._gridN[:, i] = Utils.mkvc(node_i.astype(float))
def gridCC(): @property
doc = "Cell-centered grid." def gridCC(self):
"""
Cell-centered grid
"""
if getattr(self, '_gridCC', None) is None:
self._gridCC = np.concatenate([self.aveN2CC*self.gridN[:, i]
for i in range(self.dim)]).reshape(
(-1, self.dim), order='F')
return self._gridCC
def fget(self): @property
if self._gridCC is None: def gridN(self):
self._gridCC = np.concatenate([self.aveN2CC*self.gridN[:,i] for i in range(self.dim)]).reshape((-1,self.dim), order='F') """
return self._gridCC Nodal grid.
return locals() """
_gridCC = None # Store grid by default if getattr(self, '_gridN', None) is None:
gridCC = property(**gridCC()) raise Exception("Someone deleted this. I blame you.")
return self._gridN
def gridN(): @property
doc = "Nodal grid." def gridFx(self):
"""
Face staggered grid in the x direction.
"""
def fget(self): if getattr(self, '_gridFx', None) is None:
if self._gridN is None: N = self.r(self.gridN, 'N', 'N', 'M')
raise Exception("Someone deleted this. I blame you.") if self.dim == 2:
return self._gridN XY = [Utils.mkvc(0.5 * (n[:, :-1] + n[:, 1:])) for n in N]
return locals() self._gridFx = np.c_[XY[0], XY[1]]
_gridN = None # Store grid by default elif self.dim == 3:
gridN = property(**gridN()) XYZ = [Utils.mkvc(0.25 * (n[:, :-1, :-1] + n[:, :-1, 1:] +
n[:, 1:, :-1] + n[:, 1:, 1:])) for n in N]
self._gridFx = np.c_[XYZ[0], XYZ[1], XYZ[2]]
return self._gridFx
def gridFx(): @property
doc = "Face staggered grid in the x direction." def gridFy(self):
"""
Face staggered grid in the y direction.
"""
def fget(self): if getattr(self, '_gridFy', None) is None:
if self._gridFx is None: N = self.r(self.gridN, 'N', 'N', 'M')
N = self.r(self.gridN, 'N', 'N', 'M') if self.dim == 2:
if self.dim == 2: XY = [Utils.mkvc(0.5 * (n[:-1, :] + n[1:, :])) for n in N]
XY = [Utils.mkvc(0.5 * (n[:, :-1] + n[:, 1:])) for n in N] self._gridFy = np.c_[XY[0], XY[1]]
self._gridFx = np.c_[XY[0], XY[1]] elif self.dim == 3:
elif self.dim == 3: XYZ = [Utils.mkvc(0.25 * (n[:-1, :, :-1] + n[:-1, :, 1:] +
XYZ = [Utils.mkvc(0.25 * (n[:, :-1, :-1] + n[:, :-1, 1:] + n[:, 1:, :-1] + n[:, 1:, 1:])) for n in N] n[1:, :, :-1] + n[1:, :, 1:])) for n in N]
self._gridFx = np.c_[XYZ[0], XYZ[1], XYZ[2]] self._gridFy = np.c_[XYZ[0], XYZ[1], XYZ[2]]
return self._gridFx return self._gridFy
return locals()
_gridFx = None # Store grid by default
gridFx = property(**gridFx())
def gridFy(): @property
doc = "Face staggered grid in the y direction." def gridFz(self):
"""
Face staggered grid in the y direction.
"""
def fget(self): if getattr(self, '_gridFz', None) is None:
if self._gridFy is None: N = self.r(self.gridN, 'N', 'N', 'M')
N = self.r(self.gridN, 'N', 'N', 'M') XYZ = [Utils.mkvc(0.25 * (n[:-1, :-1, :] + n[:-1, 1:, :] +
if self.dim == 2: n[1:, :-1, :] + n[1:, 1:, :])) for n in N]
XY = [Utils.mkvc(0.5 * (n[:-1, :] + n[1:, :])) for n in N] self._gridFz = np.c_[XYZ[0], XYZ[1], XYZ[2]]
self._gridFy = np.c_[XY[0], XY[1]] return self._gridFz
elif self.dim == 3:
XYZ = [Utils.mkvc(0.25 * (n[:-1, :, :-1] + n[:-1, :, 1:] + n[1:, :, :-1] + n[1:, :, 1:])) for n in N]
self._gridFy = np.c_[XYZ[0], XYZ[1], XYZ[2]]
return self._gridFy
return locals()
_gridFy = None # Store grid by default
gridFy = property(**gridFy())
def gridFz(): @property
doc = "Face staggered grid in the z direction." def gridEx(self):
"""
Edge staggered grid in the x direction.
"""
if getattr(self, '_gridEx', None) is None:
N = self.r(self.gridN, 'N', 'N', 'M')
if self.dim == 2:
XY = [Utils.mkvc(0.5 * (n[:-1, :] + n[1:, :])) for n in N]
self._gridEx = np.c_[XY[0], XY[1]]
elif self.dim == 3:
XYZ = [Utils.mkvc(0.5 * (n[:-1, :, :] + n[1:, :, :])) for n in N]
self._gridEx = np.c_[XYZ[0], XYZ[1], XYZ[2]]
return self._gridEx
def fget(self): @property
if self._gridFz is None and self.dim == 3: def gridEy(self):
N = self.r(self.gridN, 'N', 'N', 'M') """
XYZ = [Utils.mkvc(0.25 * (n[:-1, :-1, :] + n[:-1, 1:, :] + n[1:, :-1, :] + n[1:, 1:, :])) for n in N] Edge staggered grid in the y direction.
self._gridFz = np.c_[XYZ[0], XYZ[1], XYZ[2]] """
return self._gridFz if getattr(self, '_gridEy', None) is None:
return locals() N = self.r(self.gridN, 'N', 'N', 'M')
_gridFz = None # Store grid by default if self.dim == 2:
gridFz = property(**gridFz()) XY = [Utils.mkvc(0.5 * (n[:, :-1] + n[:, 1:])) for n in N]
self._gridEy = np.c_[XY[0], XY[1]]
elif self.dim == 3:
XYZ = [Utils.mkvc(0.5 * (n[:, :-1, :] + n[:, 1:, :])) for n in N]
self._gridEy = np.c_[XYZ[0], XYZ[1], XYZ[2]]
return self._gridEy
def gridEx(): @property
doc = "Edge staggered grid in the x direction." def gridEz(self):
"""
def fget(self): Edge staggered grid in the z direction.
if self._gridEx is None: """
N = self.r(self.gridN, 'N', 'N', 'M') if getattr(self, '_gridEz', None) is None and self.dim == 3:
if self.dim == 2: N = self.r(self.gridN, 'N', 'N', 'M')
XY = [Utils.mkvc(0.5 * (n[:-1, :] + n[1:, :])) for n in N] XYZ = [Utils.mkvc(0.5 * (n[:, :, :-1] + n[:, :, 1:])) for n in N]
self._gridEx = np.c_[XY[0], XY[1]] self._gridEz = np.c_[XYZ[0], XYZ[1], XYZ[2]]
elif self.dim == 3: return self._gridEz
XYZ = [Utils.mkvc(0.5 * (n[:-1, :, :] + n[1:, :, :])) for n in N]
self._gridEx = np.c_[XYZ[0], XYZ[1], XYZ[2]]
return self._gridEx
return locals()
_gridEx = None # Store grid by default
gridEx = property(**gridEx())
def gridEy():
doc = "Edge staggered grid in the y direction."
def fget(self):
if self._gridEy is None:
N = self.r(self.gridN, 'N', 'N', 'M')
if self.dim == 2:
XY = [Utils.mkvc(0.5 * (n[:, :-1] + n[:, 1:])) for n in N]
self._gridEy = np.c_[XY[0], XY[1]]
elif self.dim == 3:
XYZ = [Utils.mkvc(0.5 * (n[:, :-1, :] + n[:, 1:, :])) for n in N]
self._gridEy = np.c_[XYZ[0], XYZ[1], XYZ[2]]
return self._gridEy
return locals()
_gridEy = None # Store grid by default
gridEy = property(**gridEy())
def gridEz():
doc = "Edge staggered grid in the z direction."
def fget(self):
if self._gridEz is None and self.dim == 3:
N = self.r(self.gridN, 'N', 'N', 'M')
XYZ = [Utils.mkvc(0.5 * (n[:, :, :-1] + n[:, :, 1:])) for n in N]
self._gridEz = np.c_[XYZ[0], XYZ[1], XYZ[2]]
return self._gridEz
return locals()
_gridEz = None # Store grid by default
gridEz = property(**gridEz())
# --------------- Geometries --------------------- # --------------- Geometries ---------------------
# #
@@ -194,78 +204,94 @@ class CurvilinearMesh(BaseRectangularMesh, DiffOperators, InnerProducts, CurvVie
# | / | / # | / | /
# D -------------- C # D -------------- C
# node(i+1,j,k) node(i+1,j+1,k) # node(i+1,j,k) node(i+1,j+1,k)
def vol():
doc = "Construct cell volumes of the 3D model as 1d array."
def fget(self): @property
if(self._vol is None): def vol(self):
if self.dim == 2: """
A, B, C, D = Utils.indexCube('ABCD', self.vnC+1) Construct cell volumes of the 3D model as 1d array
normal, area = Utils.faceInfo(np.c_[self.gridN, np.zeros((self.nN, 1))], A, B, C, D) """
self._vol = area
elif self.dim == 3:
# Each polyhedron can be decomposed into 5 tetrahedrons
# However, this presents a choice so we may as well divide in two ways and average.
A, B, C, D, E, F, G, H = Utils.indexCube('ABCDEFGH', self.vnC+1)
vol1 = (Utils.volTetra(self.gridN, A, B, D, E) + # cutted edge top if getattr(self, '_vol', None) is None:
Utils.volTetra(self.gridN, B, E, F, G) + # cutted edge top if self.dim == 2:
Utils.volTetra(self.gridN, B, D, E, G) + # middle A, B, C, D = Utils.indexCube('ABCD', self.vnC+1)
Utils.volTetra(self.gridN, B, C, D, G) + # cutted edge bottom normal, area = Utils.faceInfo(np.c_[self.gridN, np.zeros(
Utils.volTetra(self.gridN, D, E, G, H)) # cutted edge bottom (self.nN, 1))], A, B, C, D)
self._vol = area
elif self.dim == 3:
# Each polyhedron can be decomposed into 5 tetrahedrons
# However, this presents a choice so we may as well divide in
# two ways and average.
A, B, C, D, E, F, G, H = Utils.indexCube('ABCDEFGH', self.vnC +
1)
vol2 = (Utils.volTetra(self.gridN, A, F, B, C) + # cutted edge top vol1 = (Utils.volTetra(self.gridN, A, B, D, E) + # cutted edge top
Utils.volTetra(self.gridN, A, E, F, H) + # cutted edge top Utils.volTetra(self.gridN, B, E, F, G) + # cutted edge top
Utils.volTetra(self.gridN, A, H, F, C) + # middle Utils.volTetra(self.gridN, B, D, E, G) + # middle
Utils.volTetra(self.gridN, C, H, D, A) + # cutted edge bottom Utils.volTetra(self.gridN, B, C, D, G) + # cutted edge bottom
Utils.volTetra(self.gridN, C, G, H, F)) # cutted edge bottom Utils.volTetra(self.gridN, D, E, G, H)) # cutted edge bottom
self._vol = (vol1 + vol2)/2 vol2 = (Utils.volTetra(self.gridN, A, F, B, C) + # cutted edge top
return self._vol Utils.volTetra(self.gridN, A, E, F, H) + # cutted edge top
return locals() Utils.volTetra(self.gridN, A, H, F, C) + # middle
_vol = None Utils.volTetra(self.gridN, C, H, D, A) + # cutted edge bottom
vol = property(**vol()) Utils.volTetra(self.gridN, C, G, H, F)) # cutted edge bottom
def area(): self._vol = (vol1 + vol2)/2
doc = "Face areas." return self._vol
def fget(self): @property
if(self._area is None or self._normals is None): def area(self):
# Compute areas of cell faces if (getattr(self, '_area', None) is None or
if(self.dim == 2): getattr(self, '_normals', None) is None):
xy = self.gridN # Compute areas of cell faces
A, B = Utils.indexCube('AB', self.vnC+1, np.array([self.nNx, self.nCy])) if(self.dim == 2):
edge1 = xy[B, :] - xy[A, :] xy = self.gridN
normal1 = np.c_[edge1[:, 1], -edge1[:, 0]] A, B = Utils.indexCube('AB', self.vnC+1, np.array([self.nNx,
area1 = length2D(edge1) self.nCy]))
A, D = Utils.indexCube('AD', self.vnC+1, np.array([self.nCx, self.nNy])) edge1 = xy[B, :] - xy[A, :]
# Note that we are doing A-D to make sure the normal points the right way. normal1 = np.c_[edge1[:, 1], -edge1[:, 0]]
# Think about it. Look at the picture. Normal points towards C iff you do this. area1 = length2D(edge1)
edge2 = xy[A, :] - xy[D, :] A, D = Utils.indexCube('AD', self.vnC+1, np.array([self.nCx,
normal2 = np.c_[edge2[:, 1], -edge2[:, 0]] self.nNy]))
area2 = length2D(edge2) # Note that we are doing A-D to make sure the normal points the
self._area = np.r_[Utils.mkvc(area1), Utils.mkvc(area2)] # right way.
self._normals = [normalize2D(normal1), normalize2D(normal2)] # Think about it. Look at the picture. Normal points towards C
elif(self.dim == 3): # iff you do this.
edge2 = xy[A, :] - xy[D, :]
normal2 = np.c_[edge2[:, 1], -edge2[:, 0]]
area2 = length2D(edge2)
self._area = np.r_[Utils.mkvc(area1), Utils.mkvc(area2)]
self._normals = [normalize2D(normal1), normalize2D(normal2)]
A, E, F, B = Utils.indexCube('AEFB', self.vnC+1, np.array([self.nNx, self.nCy, self.nCz])) elif(self.dim == 3):
normal1, area1 = Utils.faceInfo(self.gridN, A, E, F, B, average=False, normalizeNormals=False)
A, D, H, E = Utils.indexCube('ADHE', self.vnC+1, np.array([self.nCx, self.nNy, self.nCz])) A, E, F, B = Utils.indexCube('AEFB', self.vnC+1, np.array(
normal2, area2 = Utils.faceInfo(self.gridN, A, D, H, E, average=False, normalizeNormals=False) [self.nNx, self.nCy, self.nCz]))
normal1, area1 = Utils.faceInfo(self.gridN, A, E, F, B,
average=False,
normalizeNormals=False)
A, B, C, D = Utils.indexCube('ABCD', self.vnC+1, np.array([self.nCx, self.nCy, self.nNz])) A, D, H, E = Utils.indexCube('ADHE', self.vnC+1, np.array(
normal3, area3 = Utils.faceInfo(self.gridN, A, B, C, D, average=False, normalizeNormals=False) [self.nCx, self.nNy, self.nCz]))
normal2, area2 = Utils.faceInfo(self.gridN, A, D, H, E,
average=False,
normalizeNormals=False)
self._area = np.r_[Utils.mkvc(area1), Utils.mkvc(area2), Utils.mkvc(area3)] A, B, C, D = Utils.indexCube('ABCD', self.vnC+1, np.array(
self._normals = [normal1, normal2, normal3] [self.nCx, self.nCy, self.nNz]))
return self._area normal3, area3 = Utils.faceInfo(self.gridN, A, B, C, D,
return locals() average=False,
_area = None normalizeNormals=False)
area = property(**area())
def normals(): self._area = np.r_[Utils.mkvc(area1), Utils.mkvc(area2),
doc = """Face normals: calling this will average Utils.mkvc(area3)]
self._normals = [normal1, normal2, normal3]
return self._area
@property
def normals(self):
"""
Face normals: calling this will average
the computed normals so that there is one the computed normals so that there is one
per face. This is especially relevant in per face. This is especially relevant in
3D, as there are up to 4 different normals 3D, as there are up to 4 different normals
@@ -276,58 +302,64 @@ class CurvilinearMesh(BaseRectangularMesh, DiffOperators, InnerProducts, CurvVie
NyX, NyY, NyZ = M.r(M.normals, 'F', 'Fy', 'M') NyX, NyY, NyZ = M.r(M.normals, 'F', 'Fy', 'M')
""" """
def fget(self): if getattr(self, '_normals', None) is None:
if(self._normals is None): self.area # calling .area will create the face normals
self.area # calling .area will create the face normals if self.dim == 2:
if self.dim == 2: return normalize2D(np.r_[self._normals[0], self._normals[1]])
return normalize2D(np.r_[self._normals[0], self._normals[1]]) elif self.dim == 3:
elif self.dim == 3: normal1 = (self._normals[0][0] + self._normals[0][1] + self._normals[0][2] + self._normals[0][3])/4
normal1 = (self._normals[0][0] + self._normals[0][1] + self._normals[0][2] + self._normals[0][3])/4 normal2 = (self._normals[1][0] + self._normals[1][1] + self._normals[1][2] + self._normals[1][3])/4
normal2 = (self._normals[1][0] + self._normals[1][1] + self._normals[1][2] + self._normals[1][3])/4 normal3 = (self._normals[2][0] + self._normals[2][1] + self._normals[2][2] + self._normals[2][3])/4
normal3 = (self._normals[2][0] + self._normals[2][1] + self._normals[2][2] + self._normals[2][3])/4 return normalize3D(np.r_[normal1, normal2, normal3])
return normalize3D(np.r_[normal1, normal2, normal3])
return locals()
_normals = None
normals = property(**normals())
def edge(): @property
doc = "Edge legnths." def edge(self):
"""
def fget(self): Edge lengths
if(self._edge is None or self._tangents is None): """
if(self.dim == 2): if getattr(self, '_edge', None) is None:
xy = self.gridN if(self.dim == 2):
A, D = Utils.indexCube('AD', self.vnC+1, np.array([self.nCx, self.nNy])) xy = self.gridN
edge1 = xy[D, :] - xy[A, :] A, D = Utils.indexCube('AD', self.vnC+1, np.array([self.nCx,
A, B = Utils.indexCube('AB', self.vnC+1, np.array([self.nNx, self.nCy])) self.nNy]))
edge2 = xy[B, :] - xy[A, :] edge1 = xy[D, :] - xy[A, :]
self._edge = np.r_[Utils.mkvc(length2D(edge1)), Utils.mkvc(length2D(edge2))] A, B = Utils.indexCube('AB', self.vnC+1, np.array([self.nNx,
self._tangents = np.r_[edge1, edge2]/np.c_[self._edge, self._edge] self.nCy]))
elif(self.dim == 3): edge2 = xy[B, :] - xy[A, :]
xyz = self.gridN self._edge = np.r_[Utils.mkvc(length2D(edge1)),
A, D = Utils.indexCube('AD', self.vnC+1, np.array([self.nCx, self.nNy, self.nNz])) Utils.mkvc(length2D(edge2))]
edge1 = xyz[D, :] - xyz[A, :] self._tangents = np.r_[edge1, edge2]/np.c_[self._edge,
A, B = Utils.indexCube('AB', self.vnC+1, np.array([self.nNx, self.nCy, self.nNz])) self._edge]
edge2 = xyz[B, :] - xyz[A, :] elif(self.dim == 3):
A, E = Utils.indexCube('AE', self.vnC+1, np.array([self.nNx, self.nNy, self.nCz])) xyz = self.gridN
edge3 = xyz[E, :] - xyz[A, :] A, D = Utils.indexCube('AD', self.vnC+1, np.array([self.nCx,
self._edge = np.r_[Utils.mkvc(length3D(edge1)), Utils.mkvc(length3D(edge2)), Utils.mkvc(length3D(edge3))] self.nNy,
self._tangents = np.r_[edge1, edge2, edge3]/np.c_[self._edge, self._edge, self._edge] self.nNz]))
edge1 = xyz[D, :] - xyz[A, :]
A, B = Utils.indexCube('AB', self.vnC+1, np.array([self.nNx,
self.nCy,
self.nNz]))
edge2 = xyz[B, :] - xyz[A, :]
A, E = Utils.indexCube('AE', self.vnC+1, np.array([self.nNx,
self.nNy,
self.nCz]))
edge3 = xyz[E, :] - xyz[A, :]
self._edge = np.r_[Utils.mkvc(length3D(edge1)),
Utils.mkvc(length3D(edge2)),
Utils.mkvc(length3D(edge3))]
self._tangents = (np.r_[edge1, edge2, edge3] /
np.c_[self._edge, self._edge, self._edge])
return self._edge return self._edge
return locals() return self._edge
_edge = None
edge = property(**edge())
def tangents(): @property
doc = "Edge tangents." def tangents(self):
"""
def fget(self): Edge tangents
if(self._tangents is None): """
self.edge # calling .edge will create the tangents if getattr(self, '_tangents', None) is None:
return self._tangents self.edge # calling .edge will create the tangents
return locals() return self._tangents
_tangents = None
tangents = property(**tangents())
+6 -6
View File
@@ -68,8 +68,8 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
""" """
Number of x-faces in each direction Number of x-faces in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: vnFx :return: vnFx, (dim, )
""" """
return self.vnC return self.vnC
@@ -78,8 +78,8 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
""" """
Number of y-edges in each direction Number of y-edges in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: vnEy or None if dim < 2 :return: vnEy or None if dim < 2, (dim, )
""" """
nNx = self.nNx if self.isSymmetric else self.nNx - 1 nNx = self.nNx if self.isSymmetric else self.nNx - 1
return np.r_[nNx, self.nCy, self.nNz] return np.r_[nNx, self.nCy, self.nNz]
@@ -89,8 +89,8 @@ class CylMesh(BaseTensorMesh, BaseRectangularMesh, InnerProducts, CylView):
""" """
Number of z-edges in each direction Number of z-edges in each direction
:rtype: numpy.array (dim, ) :rtype: numpy.array
:return: vnEz or None if nCy > 1 :return: vnEz or None if nCy > 1, (dim, )
""" """
if self.isSymmetric: if self.isSymmetric:
return np.r_[self.nNx, self.nNy, self.nCz] return np.r_[self.nNx, self.nNy, self.nCz]
+394 -331
View File
@@ -18,13 +18,15 @@ def checkBC(bc):
for bc_i in bc: for bc_i in bc:
assert type(bc_i) is str, "each bc must be a string" assert type(bc_i) is str, "each bc must be a string"
assert bc_i in ['dirichlet', 'neumann'], "each bc must be either, 'dirichlet' or 'neumann'" assert bc_i in ['dirichlet', 'neumann'], ("each bc must be either,"
"'dirichlet' or 'neumann'")
return bc return bc
def ddxCellGrad(n, bc): def ddxCellGrad(n, bc):
""" """
Create 1D derivative operator from cell-centers to nodes this means we go from n to n+1 Create 1D derivative operator from cell-centers to nodes this means we
go from n to n+1
For Cell-Centered **Dirichlet**, use a ghost point:: For Cell-Centered **Dirichlet**, use a ghost point::
@@ -52,7 +54,8 @@ def ddxCellGrad(n, bc):
""" """
bc = checkBC(bc) bc = checkBC(bc)
D = sp.spdiags((np.ones((n+1, 1))*[-1, 1]).T, [-1, 0], n+1, n, format="csr") D = sp.spdiags((np.ones((n+1, 1))*[-1, 1]).T, [-1, 0], n+1, n,
format="csr")
# Set the first side # Set the first side
if(bc[0] == 'dirichlet'): if(bc[0] == 'dirichlet'):
D[0, 0] = 2 D[0, 0] = 2
@@ -65,10 +68,11 @@ def ddxCellGrad(n, bc):
D[-1, -1] = 0 D[-1, -1] = 0
return D return D
def ddxCellGradBC(n, bc): def ddxCellGradBC(n, bc):
""" """
Create 1D derivative operator from cell-centers to nodes this means we
Create 1D derivative operator from cell-centers to nodes this means we go from n to n+1 go from n to n+1
For Cell-Centered **Dirichlet**, use a ghost point:: For Cell-Centered **Dirichlet**, use a ghost point::
@@ -99,7 +103,7 @@ def ddxCellGradBC(n, bc):
""" """
bc = checkBC(bc) bc = checkBC(bc)
ij = (np.array([0, n]),np.array([0, 1])) ij = (np.array([0, n]), np.array([0, 1]))
vals = np.zeros(2) vals = np.zeros(2)
# Set the first side # Set the first side
@@ -112,7 +116,7 @@ def ddxCellGradBC(n, bc):
vals[1] = 2 vals[1] = 2
elif(bc[1] == 'neumann'): elif(bc[1] == 'neumann'):
vals[1] = 0 vals[1] = 0
D = sp.csr_matrix((vals, ij), shape=(n+1,2)) D = sp.csr_matrix((vals, ij), shape=(n+1, 2))
return D return D
@@ -121,175 +125,166 @@ class DiffOperators(object):
Class creates the differential operators that you need! Class creates the differential operators that you need!
""" """
def __init__(self): def __init__(self):
raise Exception('DiffOperators is a base class providing differential operators on meshes and cannot run on its own. Inherit to your favorite Mesh class.') raise Exception('DiffOperators is a base class providing differential'
'operators on meshes and cannot run on its own.'
'Inherit to your favorite Mesh class.')
def faceDiv(): @property
doc = "Construct divergence operator (face-stg to cell-centres)." def faceDiv(self):
"""
def fget(self): Construct divergence operator (face-stg to cell-centres).
if(self._faceDiv is None): """
# The number of cell centers in each direction if getattr(self, '_faceDiv', None) is None:
n = self.vnC n = self.vnC
# Compute faceDivergence operator on faces # Compute faceDivergence operator on faces
if(self.dim == 1): if(self.dim == 1):
D = ddx(n[0]) D = ddx(n[0])
elif(self.dim == 2): elif(self.dim == 2):
D1 = sp.kron(speye(n[1]), ddx(n[0])) D1 = sp.kron(speye(n[1]), ddx(n[0]))
D2 = sp.kron(ddx(n[1]), speye(n[0])) D2 = sp.kron(ddx(n[1]), speye(n[0]))
D = sp.hstack((D1, D2), format="csr") D = sp.hstack((D1, D2), format="csr")
elif(self.dim == 3): elif(self.dim == 3):
D1 = kron3(speye(n[2]), speye(n[1]), ddx(n[0])) D1 = kron3(speye(n[2]), speye(n[1]), ddx(n[0]))
D2 = kron3(speye(n[2]), ddx(n[1]), speye(n[0])) D2 = kron3(speye(n[2]), ddx(n[1]), speye(n[0]))
D3 = kron3(ddx(n[2]), speye(n[1]), speye(n[0]))
D = sp.hstack((D1, D2, D3), format="csr")
# Compute areas of cell faces & volumes
S = self.area
V = self.vol
self._faceDiv = sdiag(1/V)*D*sdiag(S)
return self._faceDiv
return locals()
_faceDiv = None
faceDiv = property(**faceDiv())
def faceDivx():
doc = "Construct divergence operator in the x component (face-stg to cell-centres)."
def fget(self):
if(self._faceDivx is None):
# The number of cell centers in each direction
n = self.vnC
# Compute faceDivergence operator on faces
if(self.dim == 1):
D1 = ddx(n[0])
elif(self.dim == 2):
D1 = sp.kron(speye(n[1]), ddx(n[0]))
elif(self.dim == 3):
D1 = kron3(speye(n[2]), speye(n[1]), ddx(n[0]))
# Compute areas of cell faces & volumes
S = self.r(self.area, 'F', 'Fx', 'V')
V = self.vol
self._faceDivx = sdiag(1/V)*D1*sdiag(S)
return self._faceDivx
return locals()
_faceDivx = None
faceDivx = property(**faceDivx())
def faceDivy():
doc = "Construct divergence operator in the y component (face-stg to cell-centres)."
def fget(self):
if(self.dim < 2): return None
if(self._faceDivy is None):
# The number of cell centers in each direction
n = self.vnC
# Compute faceDivergence operator on faces
if(self.dim == 2):
D2 = sp.kron(ddx(n[1]), speye(n[0]))
elif(self.dim == 3):
D2 = kron3(speye(n[2]), ddx(n[1]), speye(n[0]))
# Compute areas of cell faces & volumes
S = self.r(self.area, 'F', 'Fy', 'V')
V = self.vol
self._faceDivy = sdiag(1/V)*D2*sdiag(S)
return self._faceDivy
return locals()
_faceDivy = None
faceDivy = property(**faceDivy())
def faceDivz():
doc = "Construct divergence operator in the z component (face-stg to cell-centres)."
def fget(self):
if(self.dim < 3): return None
if(self._faceDivz is None):
# The number of cell centers in each direction
n = self.vnC
# Compute faceDivergence operator on faces
D3 = kron3(ddx(n[2]), speye(n[1]), speye(n[0])) D3 = kron3(ddx(n[2]), speye(n[1]), speye(n[0]))
# Compute areas of cell faces & volumes D = sp.hstack((D1, D2, D3), format="csr")
S = self.r(self.area, 'F', 'Fz', 'V') # Compute areas of cell faces & volumes
V = self.vol S = self.area
self._faceDivz = sdiag(1/V)*D3*sdiag(S) V = self.vol
self._faceDiv = sdiag(1/V)*D*sdiag(S)
return self._faceDiv
return self._faceDivz @property
return locals() def faceDivx(self):
_faceDivz = None """
faceDivz = property(**faceDivz()) Construct divergence operator in the x component (face-stg to
cell-centres).
"""
if getattr(self, '_faceDivx', None) is None:
# The number of cell centers in each direction
n = self.vnC
# Compute faceDivergence operator on faces
if(self.dim == 1):
D1 = ddx(n[0])
elif(self.dim == 2):
D1 = sp.kron(speye(n[1]), ddx(n[0]))
elif(self.dim == 3):
D1 = kron3(speye(n[2]), speye(n[1]), ddx(n[0]))
# Compute areas of cell faces & volumes
S = self.r(self.area, 'F', 'Fx', 'V')
V = self.vol
self._faceDivx = sdiag(1/V)*D1*sdiag(S)
def nodalGrad(): return self._faceDivx
doc = "Construct gradient operator (nodes to edges)."
def fget(self): @property
if(self._nodalGrad is None): def faceDivy(self):
# The number of cell centers in each direction if(self.dim < 2):
n = self.vnC return None
# Compute divergence operator on faces if getattr(self, '_faceDivy', None) is None:
if(self.dim == 1): # The number of cell centers in each direction
G = ddx(n[0]) n = self.vnC
elif(self.dim == 2): # Compute faceDivergence operator on faces
D1 = sp.kron(speye(n[1]+1), ddx(n[0])) if(self.dim == 2):
D2 = sp.kron(ddx(n[1]), speye(n[0]+1)) D2 = sp.kron(ddx(n[1]), speye(n[0]))
G = sp.vstack((D1, D2), format="csr") elif(self.dim == 3):
elif(self.dim == 3): D2 = kron3(speye(n[2]), ddx(n[1]), speye(n[0]))
D1 = kron3(speye(n[2]+1), speye(n[1]+1), ddx(n[0])) # Compute areas of cell faces & volumes
D2 = kron3(speye(n[2]+1), ddx(n[1]), speye(n[0]+1)) S = self.r(self.area, 'F', 'Fy', 'V')
D3 = kron3(ddx(n[2]), speye(n[1]+1), speye(n[0]+1)) V = self.vol
G = sp.vstack((D1, D2, D3), format="csr") self._faceDivy = sdiag(1/V)*D2*sdiag(S)
# Compute lengths of cell edges return self._faceDivy
L = self.edge
self._nodalGrad = sdiag(1/L)*G
return self._nodalGrad
return locals()
_nodalGrad = None
nodalGrad = property(**nodalGrad())
def nodalLaplacian(): @property
doc = "Construct laplacian operator (nodes to edges)." def faceDivz(self):
"""
Construct divergence operator in the z component (face-stg to
cell-centres).
"""
if(self.dim < 3):
return None
if getattr(self, '_faceDivz', None) is None:
# The number of cell centers in each direction
n = self.vnC
# Compute faceDivergence operator on faces
D3 = kron3(ddx(n[2]), speye(n[1]), speye(n[0]))
# Compute areas of cell faces & volumes
S = self.r(self.area, 'F', 'Fz', 'V')
V = self.vol
self._faceDivz = sdiag(1/V)*D3*sdiag(S)
return self._faceDivz
def fget(self): @property
if(self._nodalLaplacian is None): def nodalGrad(self):
print 'Warning: Laplacian has not been tested rigorously.' """
# The number of cell centers in each direction Construct gradient operator (nodes to edges).
n = self.vnC """
# Compute divergence operator on faces if getattr(self, '_nodalGrad', None) is None:
if(self.dim == 1): # The number of cell centers in each direction
D1 = sdiag(1./self.hx) * ddx(mesh.nCx) n = self.vnC
L = - D1.T*D1 # Compute divergence operator on faces
elif(self.dim == 2): if(self.dim == 1):
D1 = sdiag(1./self.hx) * ddx(n[0]) G = ddx(n[0])
D2 = sdiag(1./self.hy) * ddx(n[1]) elif(self.dim == 2):
L1 = sp.kron(speye(n[1]+1), - D1.T * D1) D1 = sp.kron(speye(n[1]+1), ddx(n[0]))
L2 = sp.kron(- D2.T * D2, speye(n[0]+1)) D2 = sp.kron(ddx(n[1]), speye(n[0]+1))
L = L1 + L2 G = sp.vstack((D1, D2), format="csr")
elif(self.dim == 3): elif(self.dim == 3):
D1 = sdiag(1./self.hx) * ddx(n[0]) D1 = kron3(speye(n[2]+1), speye(n[1]+1), ddx(n[0]))
D2 = sdiag(1./self.hy) * ddx(n[1]) D2 = kron3(speye(n[2]+1), ddx(n[1]), speye(n[0]+1))
D3 = sdiag(1./self.hz) * ddx(n[2]) D3 = kron3(ddx(n[2]), speye(n[1]+1), speye(n[0]+1))
L1 = kron3(speye(n[2]+1), speye(n[1]+1), - D1.T * D1) G = sp.vstack((D1, D2, D3), format="csr")
L2 = kron3(speye(n[2]+1), - D2.T * D2, speye(n[0]+1)) # Compute lengths of cell edges
L3 = kron3(- D3.T * D3, speye(n[1]+1), speye(n[0]+1)) L = self.edge
L = L1 + L2 + L3 self._nodalGrad = sdiag(1/L)*G
self._nodalLaplacian = L return self._nodalGrad
return self._nodalLaplacian
return locals() @property
_nodalLaplacian = None def nodalLaplacian(self):
nodalLaplacian = property(**nodalLaplacian()) """
Construct laplacian operator (nodes to edges).
"""
if getattr(self, '_nodalLaplacian', None) is None:
print 'Warning: Laplacian has not been tested rigorously.'
# The number of cell centers in each direction
n = self.vnC
# Compute divergence operator on faces
if(self.dim == 1):
D1 = sdiag(1./self.hx) * ddx(mesh.nCx)
L = - D1.T*D1
elif(self.dim == 2):
D1 = sdiag(1./self.hx) * ddx(n[0])
D2 = sdiag(1./self.hy) * ddx(n[1])
L1 = sp.kron(speye(n[1]+1), - D1.T * D1)
L2 = sp.kron(- D2.T * D2, speye(n[0]+1))
L = L1 + L2
elif(self.dim == 3):
D1 = sdiag(1./self.hx) * ddx(n[0])
D2 = sdiag(1./self.hy) * ddx(n[1])
D3 = sdiag(1./self.hz) * ddx(n[2])
L1 = kron3(speye(n[2]+1), speye(n[1]+1), - D1.T * D1)
L2 = kron3(speye(n[2]+1), - D2.T * D2, speye(n[0]+1))
L3 = kron3(- D3.T * D3, speye(n[1]+1), speye(n[0]+1))
L = L1 + L2 + L3
self._nodalLaplacian = L
return self._nodalLaplacian
def setCellGradBC(self, BC): def setCellGradBC(self, BC):
""" """
Function that sets the boundary conditions for cell-centred derivative operators. Function that sets the boundary conditions for cell-centred derivative
operators.
Examples:: Examples::
# Neumann in all directions
BC = 'neumann'
BC = 'neumann' # Neumann in all directions # 3D, Dirichlet in y Neumann else
BC = ['neumann', 'dirichlet', 'neumann'] # 3D, Dirichlet in y Neumann else BC = ['neumann', 'dirichlet', 'neumann']
BC = [['neumann', 'dirichlet'], 'dirichlet', 'dirichlet'] # 3D, Neumann in x on bottom of domain,
# Dirichlet else
# 3D, Neumann in x on bottom of domain, Dirichlet else
BC = [['neumann', 'dirichlet'], 'dirichlet', 'dirichlet']
""" """
if(type(BC) is str): if(type(BC) is str):
BC = [BC]*self.dim BC = [BC]*self.dim
if(type(BC) is list): if(type(BC) is list):
@@ -323,47 +318,69 @@ class DiffOperators(object):
G = sp.vstack((G1, G2, G3), format="csr") G = sp.vstack((G1, G2, G3), format="csr")
return G return G
def cellGrad(): @property
doc = "The cell centered Gradient, takes you to cell faces." def cellGrad(self):
"""
The cell centered Gradient, takes you to cell faces.
"""
if getattr(self, '_cellGrad', None) is None:
G = self._cellGradStencil()
S = self.area # Compute areas of cell faces & volumes
V = self.aveCC2F*self.vol # Average volume between adjacent cells
self._cellGrad = sdiag(S/V)*G
return self._cellGrad
def fget(self): @property
if(self._cellGrad is None): def cellGradBC(self):
G = self._cellGradStencil() """
# Compute areas of cell faces & volumes The cell centered Gradient boundary condition matrix
S = self.area """
V = self.aveCC2F*self.vol # Average volume between adjacent cells if getattr(self, '_cellGradBC', None) is None:
self._cellGrad = sdiag(S/V)*G BC = self.setCellGradBC(self._cellGradBC_list)
return self._cellGrad n = self.vnC
return locals() if(self.dim == 1):
_cellGrad = None G = ddxCellGradBC(n[0], BC[0])
cellGrad = property(**cellGrad()) elif(self.dim == 2):
G1 = sp.kron(speye(n[1]), ddxCellGradBC(n[0], BC[0]))
G2 = sp.kron(ddxCellGradBC(n[1], BC[1]), speye(n[0]))
G = sp.block_diag((G1, G2), format="csr")
elif(self.dim == 3):
G1 = kron3(speye(n[2]), speye(n[1]), ddxCellGradBC(n[0], BC[0]))
G2 = kron3(speye(n[2]), ddxCellGradBC(n[1], BC[1]), speye(n[0]))
G3 = kron3(ddxCellGradBC(n[2], BC[2]), speye(n[1]), speye(n[0]))
G = sp.block_diag((G1, G2, G3), format="csr")
# Compute areas of cell faces & volumes
S = self.area
V = self.aveCC2F*self.vol # Average volume between adjacent cells
self._cellGradBC = sdiag(S/V)*G
return self._cellGradBC
def cellGradBC(): # def cellGradBC():
doc = "The cell centered Gradient boundary condition matrix" # doc = "The cell centered Gradient boundary condition matrix"
def fget(self): # def fget(self):
if(self._cellGradBC is None): # if(self._cellGradBC is None):
BC = self.setCellGradBC(self._cellGradBC_list) # BC = self.setCellGradBC(self._cellGradBC_list)
n = self.vnC # n = self.vnC
if(self.dim == 1): # if(self.dim == 1):
G = ddxCellGradBC(n[0], BC[0]) # G = ddxCellGradBC(n[0], BC[0])
elif(self.dim == 2): # elif(self.dim == 2):
G1 = sp.kron(speye(n[1]), ddxCellGradBC(n[0], BC[0])) # G1 = sp.kron(speye(n[1]), ddxCellGradBC(n[0], BC[0]))
G2 = sp.kron(ddxCellGradBC(n[1], BC[1]), speye(n[0])) # G2 = sp.kron(ddxCellGradBC(n[1], BC[1]), speye(n[0]))
G = sp.block_diag((G1, G2), format="csr") # G = sp.block_diag((G1, G2), format="csr")
elif(self.dim == 3): # elif(self.dim == 3):
G1 = kron3(speye(n[2]), speye(n[1]), ddxCellGradBC(n[0], BC[0])) # G1 = kron3(speye(n[2]), speye(n[1]), ddxCellGradBC(n[0], BC[0]))
G2 = kron3(speye(n[2]), ddxCellGradBC(n[1], BC[1]), speye(n[0])) # G2 = kron3(speye(n[2]), ddxCellGradBC(n[1], BC[1]), speye(n[0]))
G3 = kron3(ddxCellGradBC(n[2], BC[2]), speye(n[1]), speye(n[0])) # G3 = kron3(ddxCellGradBC(n[2], BC[2]), speye(n[1]), speye(n[0]))
G = sp.block_diag((G1, G2, G3), format="csr") # G = sp.block_diag((G1, G2, G3), format="csr")
# Compute areas of cell faces & volumes # # Compute areas of cell faces & volumes
S = self.area # S = self.area
V = self.aveCC2F*self.vol # Average volume between adjacent cells # V = self.aveCC2F*self.vol # Average volume between adjacent cells
self._cellGradBC = sdiag(S/V)*G # self._cellGradBC = sdiag(S/V)*G
return self._cellGradBC # return self._cellGradBC
return locals() # return locals()
_cellGradBC = None # _cellGradBC = None
cellGradBC = property(**cellGradBC()) # cellGradBC = property(**cellGradBC())
def _cellGradxStencil(self): def _cellGradxStencil(self):
BC = ['neumann', 'neumann'] BC = ['neumann', 'neumann']
@@ -376,20 +393,19 @@ class DiffOperators(object):
G1 = kron3(speye(n[2]), speye(n[1]), ddxCellGrad(n[0], BC)) G1 = kron3(speye(n[2]), speye(n[1]), ddxCellGrad(n[0], BC))
return G1 return G1
@property
def cellGradx(): def cellGradx(self):
doc = "Cell centered Gradient in the x dimension. Has neumann boundary conditions." """
Cell centered Gradient in the x dimension. Has neumann boundary
def fget(self): conditions.
if getattr(self, '_cellGradx', None) is None: """
G1 = self._cellGradxStencil() if getattr(self, '_cellGradx', None) is None:
# Compute areas of cell faces & volumes G1 = self._cellGradxStencil()
V = self.aveCC2F*self.vol # Compute areas of cell faces & volumes
L = self.r(self.area/V, 'F','Fx', 'V') V = self.aveCC2F*self.vol
self._cellGradx = sdiag(L)*G1 L = self.r(self.area/V, 'F','Fx', 'V')
return self._cellGradx self._cellGradx = sdiag(L)*G1
return locals() return self._cellGradx
cellGradx = property(**cellGradx())
def _cellGradyStencil(self): def _cellGradyStencil(self):
if self.dim < 2: return None if self.dim < 2: return None
@@ -401,19 +417,17 @@ class DiffOperators(object):
G2 = kron3(speye(n[2]), ddxCellGrad(n[1], BC), speye(n[0])) G2 = kron3(speye(n[2]), ddxCellGrad(n[1], BC), speye(n[0]))
return G2 return G2
def cellGrady(): @property
doc = "Cell centered Gradient in the x dimension. Has neumann boundary conditions." def cellGrady(self):
def fget(self): if self.dim < 2:
if self.dim < 2: return None return None
if getattr(self, '_cellGrady', None) is None: if getattr(self, '_cellGrady', None) is None:
G2 = self._cellGradyStencil() G2 = self._cellGradyStencil()
# Compute areas of cell faces & volumes # Compute areas of cell faces & volumes
V = self.aveCC2F*self.vol V = self.aveCC2F*self.vol
L = self.r(self.area/V, 'F','Fy', 'V') L = self.r(self.area/V, 'F', 'Fy', 'V')
self._cellGrady = sdiag(L)*G2 self._cellGrady = sdiag(L)*G2
return self._cellGrady return self._cellGrady
return locals()
cellGrady = property(**cellGrady())
def _cellGradzStencil(self): def _cellGradzStencil(self):
if self.dim < 3: return None if self.dim < 3: return None
@@ -422,66 +436,61 @@ class DiffOperators(object):
G3 = kron3(ddxCellGrad(n[2], BC), speye(n[1]), speye(n[0])) G3 = kron3(ddxCellGrad(n[2], BC), speye(n[1]), speye(n[0]))
return G3 return G3
def cellGradz(): @property
doc = "Cell centered Gradient in the x dimension. Has neumann boundary conditions." def cellGradz(self):
def fget(self): """
if self.dim < 3: return None Cell centered Gradient in the x dimension. Has neumann boundary
if getattr(self, '_cellGradz', None) is None: conditions.
G3 = self._cellGradzStencil() """
# Compute areas of cell faces & volumes if self.dim < 3:
V = self.aveCC2F*self.vol return None
L = self.r(self.area/V, 'F','Fz', 'V') if getattr(self, '_cellGradz', None) is None:
self._cellGradz = sdiag(L)*G3 G3 = self._cellGradzStencil()
return self._cellGradz # Compute areas of cell faces & volumes
return locals() V = self.aveCC2F*self.vol
cellGradz = property(**cellGradz()) L = self.r(self.area/V, 'F', 'Fz', 'V')
self._cellGradz = sdiag(L)*G3
return self._cellGradz
def edgeCurl(): @property
doc = "Construct the 3D curl operator." def edgeCurl(self):
"""
Construct the 3D curl operator.
"""
if getattr(self, '_edgeCurl', None) is None:
assert self.dim > 1, "Edge Curl only programed for 2 or 3D."
def fget(self): n = self.vnC # The number of cell centers in each direction
if(self._edgeCurl is None): L = self.edge # Compute lengths of cell edges
assert self.dim > 1, "Edge Curl only programed for 2 or 3D." S = self.area # Compute areas of cell faces
# The number of cell centers in each direction
n = self.vnC
# Compute lengths of cell edges # Compute divergence operator on faces
L = self.edge if self.dim == 2:
# Compute areas of cell faces D21 = sp.kron(ddx(n[1]), speye(n[0]))
S = self.area D12 = sp.kron(speye(n[1]), ddx(n[0]))
C = sp.hstack((-D21, D12), format="csr")
self._edgeCurl = C*sdiag(1/S)
# Compute divergence operator on faces elif self.dim == 3:
if self.dim == 2:
D21 = sp.kron(ddx(n[1]), speye(n[0])) D32 = kron3(ddx(n[2]), speye(n[1]), speye(n[0]+1))
D12 = sp.kron(speye(n[1]), ddx(n[0])) D23 = kron3(speye(n[2]), ddx(n[1]), speye(n[0]+1))
C = sp.hstack((-D21, D12), format="csr") D31 = kron3(ddx(n[2]), speye(n[1]+1), speye(n[0]))
self._edgeCurl = C*sdiag(1/S) D13 = kron3(speye(n[2]), speye(n[1]+1), ddx(n[0]))
D21 = kron3(speye(n[2]+1), ddx(n[1]), speye(n[0]))
D12 = kron3(speye(n[2]+1), speye(n[1]), ddx(n[0]))
elif self.dim == 3: O1 = spzeros(np.shape(D32)[0], np.shape(D31)[1])
O2 = spzeros(np.shape(D31)[0], np.shape(D32)[1])
O3 = spzeros(np.shape(D21)[0], np.shape(D13)[1])
D32 = kron3(ddx(n[2]), speye(n[1]), speye(n[0]+1)) C = sp.vstack((sp.hstack((O1, -D32, D23)),
D23 = kron3(speye(n[2]), ddx(n[1]), speye(n[0]+1)) sp.hstack((D31, O2, -D13)),
D31 = kron3(ddx(n[2]), speye(n[1]+1), speye(n[0])) sp.hstack((-D21, D12, O3))), format="csr")
D13 = kron3(speye(n[2]), speye(n[1]+1), ddx(n[0]))
D21 = kron3(speye(n[2]+1), ddx(n[1]), speye(n[0]))
D12 = kron3(speye(n[2]+1), speye(n[1]), ddx(n[0]))
O1 = spzeros(np.shape(D32)[0], np.shape(D31)[1]) self._edgeCurl = sdiag(1/S)*(C*sdiag(L))
O2 = spzeros(np.shape(D31)[0], np.shape(D32)[1]) return self._edgeCurl
O3 = spzeros(np.shape(D21)[0], np.shape(D13)[1])
C = sp.vstack((sp.hstack((O1, -D32, D23)),
sp.hstack((D31, O2, -D13)),
sp.hstack((-D21, D12, O3))), format="csr")
self._edgeCurl = sdiag(1/S)*(C*sdiag(L))
return self._edgeCurl
return locals()
_edgeCurl = None
edgeCurl = property(**edgeCurl())
def getBCProjWF(self, BC, discretization='CC'): def getBCProjWF(self, BC, discretization='CC'):
""" """
@@ -489,16 +498,19 @@ class DiffOperators(object):
The weak form boundary condition projection matrices. The weak form boundary condition projection matrices.
Examples:: Examples::
# Neumann in all directions
BC = 'neumann'
BC = 'neumann' # Neumann in all directions # 3D, Dirichlet in y Neumann else
BC = ['neumann', 'dirichlet', 'neumann'] # 3D, Dirichlet in y Neumann else BC = ['neumann', 'dirichlet', 'neumann']
BC = [['neumann', 'dirichlet'], 'dirichlet', 'dirichlet'] # 3D, Neumann in x on bottom of domain,
# Dirichlet else
# 3D, Neumann in x on bottom of domain, Dirichlet else
BC = [['neumann', 'dirichlet'], 'dirichlet', 'dirichlet']
""" """
if discretization is not 'CC': if discretization is not 'CC':
raise NotImplementedError('Boundary conditions only implemented for CC discretization.') raise NotImplementedError('Boundary conditions only implemented'
'for CC discretization.')
if(type(BC) is str): if(type(BC) is str):
BC = [BC for _ in self.vnC] # Repeat the str self.dim times BC = [BC for _ in self.vnC] # Repeat the str self.dim times
@@ -510,35 +522,34 @@ class DiffOperators(object):
for i, bc_i in enumerate(BC): for i, bc_i in enumerate(BC):
BC[i] = checkBC(bc_i) BC[i] = checkBC(bc_i)
def projDirichlet(n, bc): def projDirichlet(n, bc):
bc = checkBC(bc) bc = checkBC(bc)
ij = ([0,n], [0,1]) ij = ([0, n], [0, 1])
vals = [0,0] vals = [0, 0]
if(bc[0] == 'dirichlet'): if(bc[0] == 'dirichlet'):
vals[0] = -1 vals[0] = -1
if(bc[1] == 'dirichlet'): if(bc[1] == 'dirichlet'):
vals[1] = 1 vals[1] = 1
return sp.csr_matrix((vals, ij), shape=(n+1,2)) return sp.csr_matrix((vals, ij), shape=(n+1, 2))
def projNeumannIn(n, bc): def projNeumannIn(n, bc):
bc = checkBC(bc) bc = checkBC(bc)
P = sp.identity(n+1).tocsr() P = sp.identity(n+1).tocsr()
if(bc[0] == 'neumann'): if(bc[0] == 'neumann'):
P = P[1:,:] P = P[1:, :]
if(bc[1] == 'neumann'): if(bc[1] == 'neumann'):
P = P[:-1,:] P = P[:-1, :]
return P return P
def projNeumannOut(n, bc): def projNeumannOut(n, bc):
bc = checkBC(bc) bc = checkBC(bc)
ij = ([0, 1],[0, n]) ij = ([0, 1], [0, n])
vals = [0,0] vals = [0,0]
if(bc[0] == 'neumann'): if(bc[0] == 'neumann'):
vals[0] = 1 vals[0] = 1
if(bc[1] == 'neumann'): if(bc[1] == 'neumann'):
vals[1] = 1 vals[1] = 1
return sp.csr_matrix((vals, ij), shape=(2,n+1)) return sp.csr_matrix((vals, ij), shape=(2, n+1))
n = self.vnC n = self.vnC
indF = self.faceBoundaryInd indF = self.faceBoundaryInd
@@ -550,6 +561,7 @@ class DiffOperators(object):
Pin = projNeumannIn(n[0], BC[0]) Pin = projNeumannIn(n[0], BC[0])
Pout = projNeumannOut(n[0], BC[0]) Pout = projNeumannOut(n[0], BC[0])
elif(self.dim == 2): elif(self.dim == 2):
Pbc1 = sp.kron(speye(n[1]), projDirichlet(n[0], BC[0])) Pbc1 = sp.kron(speye(n[1]), projDirichlet(n[0], BC[0]))
Pbc2 = sp.kron(projDirichlet(n[1], BC[1]), speye(n[0])) Pbc2 = sp.kron(projDirichlet(n[1], BC[1]), speye(n[0]))
@@ -564,12 +576,14 @@ class DiffOperators(object):
P1 = sp.kron(speye(n[1]), projNeumannOut(n[0], BC[0])) P1 = sp.kron(speye(n[1]), projNeumannOut(n[0], BC[0]))
P2 = sp.kron(projNeumannOut(n[1], BC[1]), speye(n[0])) P2 = sp.kron(projNeumannOut(n[1], BC[1]), speye(n[0]))
Pout = sp.block_diag((P1, P2), format="csr") Pout = sp.block_diag((P1, P2), format="csr")
elif(self.dim == 3): elif(self.dim == 3):
Pbc1 = kron3(speye(n[2]), speye(n[1]), projDirichlet(n[0], BC[0])) Pbc1 = kron3(speye(n[2]), speye(n[1]), projDirichlet(n[0], BC[0]))
Pbc2 = kron3(speye(n[2]), projDirichlet(n[1], BC[1]), speye(n[0])) Pbc2 = kron3(speye(n[2]), projDirichlet(n[1], BC[1]), speye(n[0]))
Pbc3 = kron3(projDirichlet(n[2], BC[2]), speye(n[1]), speye(n[0])) Pbc3 = kron3(projDirichlet(n[2], BC[2]), speye(n[1]), speye(n[0]))
Pbc = sp.block_diag((Pbc1, Pbc2, Pbc3), format="csr") Pbc = sp.block_diag((Pbc1, Pbc2, Pbc3), format="csr")
indF = np.r_[(indF[0] | indF[1]), (indF[2] | indF[3]), (indF[4] | indF[5])] indF = np.r_[(indF[0] | indF[1]), (indF[2] | indF[3]), (indF[4] |
indF[5])]
Pbc = Pbc*sdiag(self.area[indF]) Pbc = Pbc*sdiag(self.area[indF])
P1 = kron3(speye(n[2]), speye(n[1]), projNeumannIn(n[0], BC[0])) P1 = kron3(speye(n[2]), speye(n[1]), projNeumannIn(n[0], BC[0]))
@@ -586,36 +600,36 @@ class DiffOperators(object):
def getBCProjWF_simple(self, discretization='CC'): def getBCProjWF_simple(self, discretization='CC'):
""" """
The weak form boundary condition projection matrices The weak form boundary condition projection matrices
when mixed boundary condition is used when mixed boundary condition is used
""" """
if discretization is not 'CC': if discretization is not 'CC':
raise NotImplementedError('Boundary conditions only implemented for CC discretization.') raise NotImplementedError('Boundary conditions only implemented'
'for CC discretization.')
def projBC(n): def projBC(n):
ij = ([0,n], [0,1]) ij = ([0, n], [0, 1])
vals = [0,0] vals = [0, 0]
vals[0] = 1 vals[0] = 1
vals[1] = 1 vals[1] = 1
return sp.csr_matrix((vals, ij), shape=(n+1,2)) return sp.csr_matrix((vals, ij), shape=(n+1, 2))
def projDirichlet(n, bc): def projDirichlet(n, bc):
bc = checkBC(bc) bc = checkBC(bc)
ij = ([0,n], [0,1]) ij = ([0, n], [0, 1])
vals = [0,0] vals = [0, 0]
if(bc[0] == 'dirichlet'): if(bc[0] == 'dirichlet'):
vals[0] = -1 vals[0] = -1
if(bc[1] == 'dirichlet'): if(bc[1] == 'dirichlet'):
vals[1] = 1 vals[1] = 1
return sp.csr_matrix((vals, ij), shape=(n+1,2)) return sp.csr_matrix((vals, ij), shape=(n+1, 2))
BC = [['dirichlet','dirichlet'],['dirichlet','dirichlet'],['dirichlet','dirichlet']] BC = [['dirichlet', 'dirichlet'], ['dirichlet', 'dirichlet'],
['dirichlet', 'dirichlet']]
n = self.vnC n = self.vnC
indF = self.faceBoundaryInd indF = self.faceBoundaryInd
if(self.dim == 1): if(self.dim == 1):
Pbc = projDirichlet(n[0], BC[0]) Pbc = projDirichlet(n[0], BC[0])
B = projBC(n[0]) B = projBC(n[0])
@@ -653,9 +667,11 @@ class DiffOperators(object):
if(self.dim == 1): if(self.dim == 1):
return self.aveFx2CC return self.aveFx2CC
elif(self.dim == 2): elif(self.dim == 2):
return (0.5)*sp.hstack((self.aveFx2CC, self.aveFy2CC), format="csr") return (0.5)*sp.hstack((self.aveFx2CC, self.aveFy2CC),
format="csr")
elif(self.dim == 3): elif(self.dim == 3):
return (1./3.)*sp.hstack((self.aveFx2CC, self.aveFy2CC, self.aveFz2CC), format="csr") return (1./3.)*sp.hstack((self.aveFx2CC, self.aveFy2CC,
self.aveFz2CC), format="csr")
@property @property
def aveF2CCV(self): def aveF2CCV(self):
@@ -665,11 +681,16 @@ class DiffOperators(object):
elif(self.dim == 2): elif(self.dim == 2):
return sp.block_diag((self.aveFx2CC, self.aveFy2CC), format="csr") return sp.block_diag((self.aveFx2CC, self.aveFy2CC), format="csr")
elif(self.dim == 3): elif(self.dim == 3):
return sp.block_diag((self.aveFx2CC, self.aveFy2CC, self.aveFz2CC), format="csr") return sp.block_diag((self.aveFx2CC, self.aveFy2CC, self.aveFz2CC),
format="csr")
@property @property
def aveFx2CC(self): def aveFx2CC(self):
"Construct the averaging operator on cell faces in the x direction to cell centers." """
Construct the averaging operator on cell faces in the x direction to
cell centers.
"""
if getattr(self, '_aveFx2CC', None) is None: if getattr(self, '_aveFx2CC', None) is None:
n = self.vnC n = self.vnC
if(self.dim == 1): if(self.dim == 1):
@@ -682,8 +703,12 @@ class DiffOperators(object):
@property @property
def aveFy2CC(self): def aveFy2CC(self):
"Construct the averaging operator on cell faces in the y direction to cell centers." """
if self.dim < 2: return None Construct the averaging operator on cell faces in the y direction to
cell centers.
"""
if self.dim < 2:
return None
if getattr(self, '_aveFy2CC', None) is None: if getattr(self, '_aveFy2CC', None) is None:
n = self.vnC n = self.vnC
if(self.dim == 2): if(self.dim == 2):
@@ -694,7 +719,10 @@ class DiffOperators(object):
@property @property
def aveFz2CC(self): def aveFz2CC(self):
"Construct the averaging operator on cell faces in the z direction to cell centers." """
Construct the averaging operator on cell faces in the z direction to
cell centers.
"""
if self.dim < 3: return None if self.dim < 3: return None
if getattr(self, '_aveFz2CC', None) is None: if getattr(self, '_aveFz2CC', None) is None:
n = self.vnC n = self.vnC
@@ -711,12 +739,18 @@ class DiffOperators(object):
if(self.dim == 1): if(self.dim == 1):
self._aveCC2F = avExtrap(n[0]) self._aveCC2F = avExtrap(n[0])
elif(self.dim == 2): elif(self.dim == 2):
self._aveCC2F = sp.vstack((sp.kron(speye(n[1]), avExtrap(n[0])), self._aveCC2F = sp.vstack((sp.kron(speye(n[1]),
sp.kron(avExtrap(n[1]), speye(n[0]))), format="csr") avExtrap(n[0])),
sp.kron(avExtrap(n[1]),
speye(n[0]))), format="csr")
elif(self.dim == 3): elif(self.dim == 3):
self._aveCC2F = sp.vstack((kron3(speye(n[2]), speye(n[1]), avExtrap(n[0])), self._aveCC2F = sp.vstack((kron3(speye(n[2]), speye(n[1]),
kron3(speye(n[2]), avExtrap(n[1]), speye(n[0])), avExtrap(n[0])),
kron3(avExtrap(n[2]), speye(n[1]), speye(n[0]))), format="csr") kron3(speye(n[2]), avExtrap(n[1]),
speye(n[0])),
kron3(avExtrap(n[2]), speye(n[1]),
speye(n[0]))),
format="csr")
return self._aveCC2F return self._aveCC2F
@property @property
@@ -727,7 +761,8 @@ class DiffOperators(object):
elif(self.dim == 2): elif(self.dim == 2):
return 0.5*sp.hstack((self.aveEx2CC, self.aveEy2CC), format="csr") return 0.5*sp.hstack((self.aveEx2CC, self.aveEy2CC), format="csr")
elif(self.dim == 3): elif(self.dim == 3):
return (1./3)*sp.hstack((self.aveEx2CC, self.aveEy2CC, self.aveEz2CC), format="csr") return (1./3)*sp.hstack((self.aveEx2CC, self.aveEy2CC,
self.aveEz2CC), format="csr")
@property @property
def aveE2CCV(self): def aveE2CCV(self):
@@ -737,11 +772,15 @@ class DiffOperators(object):
elif(self.dim == 2): elif(self.dim == 2):
return sp.block_diag((self.aveEx2CC, self.aveEy2CC), format="csr") return sp.block_diag((self.aveEx2CC, self.aveEy2CC), format="csr")
elif(self.dim == 3): elif(self.dim == 3):
return sp.block_diag((self.aveEx2CC, self.aveEy2CC, self.aveEz2CC), format="csr") return sp.block_diag((self.aveEx2CC, self.aveEy2CC, self.aveEz2CC),
format="csr")
@property @property
def aveEx2CC(self): def aveEx2CC(self):
"Construct the averaging operator on cell edges in the x direction to cell centers." """
Construct the averaging operator on cell edges in the x direction to
cell centers.
"""
if getattr(self, '_aveEx2CC', None) is None: if getattr(self, '_aveEx2CC', None) is None:
# The number of cell centers in each direction # The number of cell centers in each direction
n = self.vnC n = self.vnC
@@ -755,8 +794,12 @@ class DiffOperators(object):
@property @property
def aveEy2CC(self): def aveEy2CC(self):
"Construct the averaging operator on cell edges in the y direction to cell centers." """
if self.dim < 2: return None Construct the averaging operator on cell edges in the y direction to
cell centers.
"""
if self.dim < 2:
return None
if getattr(self, '_aveEy2CC', None) is None: if getattr(self, '_aveEy2CC', None) is None:
# The number of cell centers in each direction # The number of cell centers in each direction
n = self.vnC n = self.vnC
@@ -768,8 +811,12 @@ class DiffOperators(object):
@property @property
def aveEz2CC(self): def aveEz2CC(self):
"Construct the averaging operator on cell edges in the z direction to cell centers." """
if self.dim < 3: return None Construct the averaging operator on cell edges in the z direction to
cell centers.
"""
if self.dim < 3:
return None
if getattr(self, '_aveEz2CC', None) is None: if getattr(self, '_aveEz2CC', None) is None:
# The number of cell centers in each direction # The number of cell centers in each direction
n = self.vnC n = self.vnC
@@ -793,7 +840,10 @@ class DiffOperators(object):
@property @property
def aveN2E(self): def aveN2E(self):
"Construct the averaging operator on cell nodes to cell edges, keeping each dimension separate." """
Construct the averaging operator on cell nodes to cell edges, keeping
each dimension separate.
"""
if getattr(self, '_aveN2E', None) is None: if getattr(self, '_aveN2E', None) is None:
# The number of cell centers in each direction # The number of cell centers in each direction
@@ -802,16 +852,24 @@ class DiffOperators(object):
self._aveN2E = av(n[0]) self._aveN2E = av(n[0])
elif(self.dim == 2): elif(self.dim == 2):
self._aveN2E = sp.vstack((sp.kron(speye(n[1]+1), av(n[0])), self._aveN2E = sp.vstack((sp.kron(speye(n[1]+1), av(n[0])),
sp.kron(av(n[1]), speye(n[0]+1))), format="csr") sp.kron(av(n[1]), speye(n[0]+1))),
format="csr")
elif(self.dim == 3): elif(self.dim == 3):
self._aveN2E = sp.vstack((kron3(speye(n[2]+1), speye(n[1]+1), av(n[0])), self._aveN2E = sp.vstack((kron3(speye(n[2]+1), speye(n[1]+1),
kron3(speye(n[2]+1), av(n[1]), speye(n[0]+1)), av(n[0])),
kron3(av(n[2]), speye(n[1]+1), speye(n[0]+1))), format="csr") kron3(speye(n[2]+1), av(n[1]),
speye(n[0]+1)),
kron3(av(n[2]), speye(n[1]+1),
speye(n[0]+1))),
format="csr")
return self._aveN2E return self._aveN2E
@property @property
def aveN2F(self): def aveN2F(self):
"Construct the averaging operator on cell nodes to cell faces, keeping each dimension separate." """
Construct the averaging operator on cell nodes to cell faces, keeping
each dimension separate.
"""
if getattr(self, '_aveN2F', None) is None: if getattr(self, '_aveN2F', None) is None:
# The number of cell centers in each direction # The number of cell centers in each direction
n = self.vnC n = self.vnC
@@ -819,9 +877,14 @@ class DiffOperators(object):
self._aveN2F = av(n[0]) self._aveN2F = av(n[0])
elif(self.dim == 2): elif(self.dim == 2):
self._aveN2F = sp.vstack((sp.kron(av(n[1]), speye(n[0]+1)), self._aveN2F = sp.vstack((sp.kron(av(n[1]), speye(n[0]+1)),
sp.kron(speye(n[1]+1), av(n[0]))), format="csr") sp.kron(speye(n[1]+1), av(n[0]))),
format="csr")
elif(self.dim == 3): elif(self.dim == 3):
self._aveN2F = sp.vstack((kron3(av(n[2]), av(n[1]), speye(n[0]+1)), self._aveN2F = sp.vstack((kron3(av(n[2]), av(n[1]),
kron3(av(n[2]), speye(n[1]+1), av(n[0])), speye(n[0]+1)),
kron3(speye(n[2]+1), av(n[1]), av(n[0]))), format="csr") kron3(av(n[2]), speye(n[1]+1),
av(n[0])),
kron3(speye(n[2]+1), av(n[1]),
av(n[0]))),
format="csr")
return self._aveN2F return self._aveN2F
+9 -10
View File
@@ -16,7 +16,7 @@ class InnerProducts(object):
:param bool invProp: inverts the material property :param bool invProp: inverts the material property
:param bool invMat: inverts the matrix :param bool invMat: inverts the matrix
:param bool doFast: do a faster implementation if available. :param bool doFast: do a faster implementation if available.
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: M, the inner product matrix (nF, nF) :return: M, the inner product matrix (nF, nF)
""" """
return self._getInnerProduct('F', prop=prop, invProp=invProp, invMat=invMat, doFast=doFast) return self._getInnerProduct('F', prop=prop, invProp=invProp, invMat=invMat, doFast=doFast)
@@ -27,7 +27,7 @@ class InnerProducts(object):
:param bool invProp: inverts the material property :param bool invProp: inverts the material property
:param bool invMat: inverts the matrix :param bool invMat: inverts the matrix
:param bool doFast: do a faster implementation if available. :param bool doFast: do a faster implementation if available.
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: M, the inner product matrix (nE, nE) :return: M, the inner product matrix (nE, nE)
""" """
return self._getInnerProduct('E', prop=prop, invProp=invProp, invMat=invMat, doFast=doFast) return self._getInnerProduct('E', prop=prop, invProp=invProp, invMat=invMat, doFast=doFast)
@@ -39,7 +39,7 @@ class InnerProducts(object):
:param bool invProp: inverts the material property :param bool invProp: inverts the material property
:param bool invMat: inverts the matrix :param bool invMat: inverts the matrix
:param bool doFast: do a faster implementation if available. :param bool doFast: do a faster implementation if available.
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: M, the inner product matrix (nE, nE) :return: M, the inner product matrix (nE, nE)
""" """
assert projType in ['F', 'E'], "projType must be 'F' for faces or 'E' for edges" assert projType in ['F', 'E'], "projType must be 'F' for faces or 'E' for edges"
@@ -115,13 +115,12 @@ class InnerProducts(object):
:param bool doFast: do a faster implementation if available. :param bool doFast: do a faster implementation if available.
:param bool invProp: inverts the material property :param bool invProp: inverts the material property
:param bool invMat: inverts the matrix :param bool invMat: inverts the matrix
:rtype: function
:return: dMdmu(u), the derivative of the inner product matrix (u) :return: dMdmu(u), the derivative of the inner product matrix (u)
Given u, dMdmu returns (nF, nC*nA) Given u, dMdmu returns (nF, nC*nA)
:param np.ndarray u: vector that multiplies dMdmu :param numpy.ndarray u: vector that multiplies dMdmu
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: dMdmu, the derivative of the inner product matrix for a certain u :return: dMdmu, the derivative of the inner product matrix for a certain u
""" """
return self._getInnerProductDeriv(prop, 'F', doFast=doFast, invProp=invProp, invMat=invMat) return self._getInnerProductDeriv(prop, 'F', doFast=doFast, invProp=invProp, invMat=invMat)
@@ -133,7 +132,7 @@ class InnerProducts(object):
:param bool doFast: do a faster implementation if available. :param bool doFast: do a faster implementation if available.
:param bool invProp: inverts the material property :param bool invProp: inverts the material property
:param bool invMat: inverts the matrix :param bool invMat: inverts the matrix
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: dMdm, the derivative of the inner product matrix (nE, nC*nA) :return: dMdm, the derivative of the inner product matrix (nE, nC*nA)
""" """
return self._getInnerProductDeriv(prop, 'E', doFast=doFast, invProp=invProp, invMat=invMat) return self._getInnerProductDeriv(prop, 'E', doFast=doFast, invProp=invProp, invMat=invMat)
@@ -145,7 +144,7 @@ class InnerProducts(object):
:param bool doFast: do a faster implementation if available. :param bool doFast: do a faster implementation if available.
:param bool invProp: inverts the material property :param bool invProp: inverts the material property
:param bool invMat: inverts the matrix :param bool invMat: inverts the matrix
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: dMdm, the derivative of the inner product matrix (nE, nC*nA) :return: dMdm, the derivative of the inner product matrix (nE, nC*nA)
""" """
fast = None fast = None
@@ -169,7 +168,7 @@ class InnerProducts(object):
:param numpy.array v: vector to multiply (required in the general implementation) :param numpy.array v: vector to multiply (required in the general implementation)
:param list P: list of projection matrices :param list P: list of projection matrices
:param str projType: 'F' for faces 'E' for edges :param str projType: 'F' for faces 'E' for edges
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: dMdm, the derivative of the inner product matrix (n, nC*nA) :return: dMdm, the derivative of the inner product matrix (n, nC*nA)
""" """
assert projType in ['F', 'E'], "projType must be 'F' for faces or 'E' for edges" assert projType in ['F', 'E'], "projType must be 'F' for faces or 'E' for edges"
@@ -422,7 +421,7 @@ class InnerProducts(object):
def _getEdgePx(M): def _getEdgePx(M):
"""Returns a function for creating projection matrices""" """Returns a function for creating projection matrices"""
def Px(xEdge): def Px(xEdge):
assert xEdge == 'eX0', 'xEdge = %s, not eX0' % xEdge assert xEdge == 'eX0', 'xEdge = {0!s}, not eX0'.format(xEdge)
return sp.identity(M.nC) return sp.identity(M.nC)
return Px return Px
+24 -37
View File
@@ -6,13 +6,11 @@ class TensorMeshIO(object):
@classmethod @classmethod
def readUBC(TensorMesh, fileName): def readUBC(TensorMesh, fileName):
""" """
Read UBC GIF 3DTensor mesh and generate 3D Tensor mesh in simpegTD Read UBC GIF 3D tensor mesh and generate 3D TensorMesh in SimPEG.
Input: :param string fileName: path to the UBC GIF mesh file
:param fileName, path to the UBC GIF mesh file :rtype: TensorMesh
:return: The tensor mesh for the fileName.
Output:
:param SimPEG TensorMesh object
""" """
# Interal function to read cell size lines for the UBC mesh files. # Interal function to read cell size lines for the UBC mesh files.
@@ -48,11 +46,9 @@ class TensorMeshIO(object):
Read VTK Rectilinear (vtr xml file) and return SimPEG Tensor mesh and model Read VTK Rectilinear (vtr xml file) and return SimPEG Tensor mesh and model
Input: Input:
:param vtrFileName, path to the vtr model file to write to :param string fileName: path to the vtr model file to read
:rtype: tuple
Output: :return: (TensorMesh, modelDictionary)
:return SimPEG TensorMesh object
:return SimPEG model dictionary
""" """
# Import # Import
@@ -102,9 +98,8 @@ class TensorMeshIO(object):
Makes and saves a VTK rectilinear file (vtr) for a simpeg Tensor mesh and model. Makes and saves a VTK rectilinear file (vtr) for a simpeg Tensor mesh and model.
Input: Input:
:param str, path to the output vtk file :param string fileName: path to the output vtk file
:param mesh, SimPEG TensorMesh object - mesh to be transfer to VTK :param dict models: dictionary of numpy.array - Name('s) and array('s). Match number of cells
:param models, dictionary of numpy.array - Name('s) and array('s). Match number of cells
""" """
# Import # Import
@@ -162,12 +157,9 @@ class TensorMeshIO(object):
""" """
Read UBC 3DTensor mesh model and generate 3D Tensor mesh model in simpeg Read UBC 3DTensor mesh model and generate 3D Tensor mesh model in simpeg
Input: :param string fileName: path to the UBC GIF mesh file to read
:param fileName, path to the UBC GIF mesh file to read :rtype: numpy.ndarray
:param mesh, TensorMesh object, mesh that coresponds to the model :return: model with TensorMesh ordered
Output:
:return numpy array, model with TensorMesh ordered
""" """
f = open(fileName, 'r') f = open(fileName, 'r')
model = np.array(map(float, f.readlines())) model = np.array(map(float, f.readlines()))
@@ -183,8 +175,7 @@ class TensorMeshIO(object):
Writes a model associated with a SimPEG TensorMesh Writes a model associated with a SimPEG TensorMesh
to a UBC-GIF format model file. to a UBC-GIF format model file.
:param str fileName: File to write to :param string fileName: File to write to
:param simpeg.Mesh.TensorMesh mesh: The mesh
:param numpy.ndarray model: The model :param numpy.ndarray model: The model
""" """
@@ -201,17 +192,17 @@ class TensorMeshIO(object):
""" """
Writes a SimPEG TensorMesh to a UBC-GIF format mesh file. Writes a SimPEG TensorMesh to a UBC-GIF format mesh file.
:param str fileName: File to write to :param string fileName: File to write to
:param simpeg.Mesh.TensorMesh mesh: The mesh :param dict models: A dictionary of the models
""" """
assert mesh.dim == 3 assert mesh.dim == 3
s = '' s = ''
s += '%i %i %i\n' %tuple(mesh.vnC) s += '{0:d} {1:d} {2:d}\n'.format(*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 = 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 origin.dtype = float
s += '%.2f %.2f %.2f\n' %tuple(origin) s += '{0:.2f} {1:.2f} {2:.2f}\n'.format(*tuple(origin))
s += ('%.2f '*mesh.nCx+'\n')%tuple(mesh.hx) s += ('%.2f '*mesh.nCx+'\n')%tuple(mesh.hx)
s += ('%.2f '*mesh.nCy+'\n')%tuple(mesh.hy) s += ('%.2f '*mesh.nCy+'\n')%tuple(mesh.hy)
s += ('%.2f '*mesh.nCz+'\n')%tuple(mesh.hz[::-1]) s += ('%.2f '*mesh.nCz+'\n')%tuple(mesh.hz[::-1])
@@ -231,9 +222,8 @@ class TreeMeshIO(object):
""" """
Write UBC ocTree mesh and model files from a simpeg ocTree mesh and model. Write UBC ocTree mesh and model files from a simpeg ocTree mesh and model.
:param str fileName: File to write to :param string fileName: File to write to
:param simpeg.Mesh.TreeMesh mesh: The mesh :param dict models: The models in a dictionary, where the keys is the name of the of the model file
: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. # Calculate information to write in the file.
@@ -286,10 +276,9 @@ class TreeMeshIO(object):
Input: Input:
:param str meshFile: path to the UBC GIF OcTree mesh file to read :param str meshFile: path to the UBC GIF OcTree mesh file to read
:rtype: SimPEG.Mesh.TreeMesh
:return: The octree mesh
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 ## Read the file lines
@@ -335,11 +324,9 @@ class TreeMeshIO(object):
""" """
Read UBC OcTree model and get vector Read UBC OcTree model and get vector
Input: :param string fileName: path to the UBC GIF model file to read
:param fileName, path to the UBC GIF model file to read :rtype: numpy.ndarray
:return: OcTree model
Output:
:return numpy array, OcTree model
""" """
if type(fileName) is list: if type(fileName) is list:
+8 -8
View File
@@ -23,8 +23,8 @@ class BaseTensorMesh(BaseMesh):
h_i = self._unitDimensions[i] * np.ones(int(h_i))/int(h_i) h_i = self._unitDimensions[i] * np.ones(int(h_i))/int(h_i)
elif type(h_i) is list: elif type(h_i) is list:
h_i = Utils.meshTensor(h_i) h_i = Utils.meshTensor(h_i)
assert isinstance(h_i, np.ndarray), ("h[%i] is not a numpy array." % i) assert isinstance(h_i, np.ndarray), ("h[{0:d}] is not a numpy array.".format(i))
assert len(h_i.shape) == 1, ("h[%i] must be a 1D numpy array." % i) assert len(h_i.shape) == 1, ("h[{0:d}] must be a 1D numpy array.".format(i))
h[i] = h_i[:] # make a copy. h[i] = h_i[:] # make a copy.
x0 = np.zeros(len(h)) x0 = np.zeros(len(h))
@@ -41,7 +41,7 @@ class BaseTensorMesh(BaseMesh):
elif x_i == 'N': elif x_i == 'N':
x0[i] = -h_i.sum() x0[i] = -h_i.sum()
else: else:
raise Exception("x0[%i] must be a scalar or '0' to be zero, 'C' to center, or 'N' to be negative." % i) raise Exception("x0[{0:d}] must be a scalar or '0' to be zero, 'C' to center, or 'N' to be negative.".format(i))
if isinstance(self, BaseRectangularMesh): if isinstance(self, BaseRectangularMesh):
BaseRectangularMesh.__init__(self, np.array([x.size for x in h]), x0) BaseRectangularMesh.__init__(self, np.array([x.size for x in h]), x0)
@@ -198,8 +198,8 @@ class BaseTensorMesh(BaseMesh):
Determines if a set of points are inside a mesh. Determines if a set of points are inside a mesh.
:param numpy.ndarray pts: Location of points to test :param numpy.ndarray pts: Location of points to test
:rtype numpy.ndarray :rtype numpy.ndarray:
:return inside, numpy array of booleans :return: inside, numpy array of booleans
""" """
pts = Utils.asArray_N_x_Dim(pts, self.dim) pts = Utils.asArray_N_x_Dim(pts, self.dim)
@@ -221,7 +221,7 @@ class BaseTensorMesh(BaseMesh):
:param numpy.ndarray loc: Location of points to interpolate to :param numpy.ndarray loc: Location of points to interpolate to
:param str locType: What to interpolate (see below) :param str locType: What to interpolate (see below)
:rtype: scipy.sparse.csr.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: M, the interpolation matrix :return: M, the interpolation matrix
locType can be:: locType can be::
@@ -239,7 +239,7 @@ class BaseTensorMesh(BaseMesh):
'CCVz' -> z-component of vector field defined on cell centers 'CCVz' -> z-component of vector field defined on cell centers
""" """
if self._meshType == 'CYL' and self.isSymmetric and locType in ['Ex','Ez','Fy']: if self._meshType == 'CYL' and self.isSymmetric and locType in ['Ex','Ez','Fy']:
raise Exception('Symmetric CylMesh does not support %s interpolation, as this variable does not exist.' % locType) raise Exception('Symmetric CylMesh does not support {0!s} interpolation, as this variable does not exist.'.format(locType))
loc = Utils.asArray_N_x_Dim(loc, self.dim) loc = Utils.asArray_N_x_Dim(loc, self.dim)
@@ -289,7 +289,7 @@ class BaseTensorMesh(BaseMesh):
:param bool returnP: returns the projection matrices :param bool returnP: returns the projection matrices
:param bool invProp: inverts the material property :param bool invProp: inverts the material property
:param bool invMat: inverts the matrix :param bool invMat: inverts the matrix
:rtype: scipy.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: M, the inner product matrix (nF, nF) :return: M, the inner product matrix (nF, nF)
""" """
assert projType in ['F', 'E'], "projType must be 'F' for faces or 'E' for edges" assert projType in ['F', 'E'], "projType must be 'F' for faces or 'E' for edges"
+5 -5
View File
@@ -177,7 +177,7 @@ class TreeMesh(BaseTensorMesh, InnerProducts, TreeMeshIO):
return l return l
def __str__(self): def __str__(self):
outStr = ' ---- %sTreeMesh ---- '%('Oc' if self.dim == 3 else 'Quad') outStr = ' ---- {0!s}TreeMesh ---- '.format(('Oc' if self.dim == 3 else 'Quad'))
def printH(hx, outStr=''): def printH(hx, outStr=''):
i = -1 i = -1
while True: while True:
@@ -213,7 +213,7 @@ class TreeMesh(BaseTensorMesh, InnerProducts, TreeMeshIO):
outStr += printH(self.hy, outStr='\n hy:') outStr += printH(self.hy, outStr='\n hy:')
outStr += printH(self.hz, outStr='\n hz:') outStr += printH(self.hz, outStr='\n hz:')
outStr += '\n nC: {0:d}'.format(self.nC) outStr += '\n nC: {0:d}'.format(self.nC)
outStr += '\n Fill: %2.2f%%'%(self.fill*100) outStr += '\n Fill: {0:2.2f}%'.format((self.fill*100))
return outStr return outStr
@property @property
@@ -1875,7 +1875,7 @@ class TreeMesh(BaseTensorMesh, InnerProducts, TreeMeshIO):
:param numpy.ndarray locs: Location of points to interpolate to :param numpy.ndarray locs: Location of points to interpolate to
:param str locType: What to interpolate (see below) :param str locType: What to interpolate (see below)
:rtype: scipy.sparse.csr.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: M, the interpolation matrix :return: M, the interpolation matrix
locType can be:: locType can be::
@@ -2210,7 +2210,7 @@ class TreeMesh(BaseTensorMesh, InnerProducts, TreeMeshIO):
ax.set_xlabel('y' if normal == 'X' else 'x') ax.set_xlabel('y' if normal == 'X' else 'x')
ax.set_ylabel('y' if normal == 'Z' else 'z') ax.set_ylabel('y' if normal == 'Z' else 'z')
ax.set_title('Slice %d, %s = %4.2f' % (ind,normal,indLoc)) ax.set_title('Slice {0:d}, {1!s} = {2:4.2f}'.format(ind, normal, indLoc))
if grid: if grid:
_ = antiNormalInd _ = antiNormalInd
@@ -2240,7 +2240,7 @@ class TreeMesh(BaseTensorMesh, InnerProducts, TreeMeshIO):
if key < 0 : #Handle negative indices if key < 0 : #Handle negative indices
key += len( self ) key += len( self )
if key >= len( self ) : if key >= len( self ) :
raise IndexError, "The index (%d) is out of range."%key raise IndexError, "The index ({0:d}) is out of range.".format(key)
self._numberCells() # no-op if numbered self._numberCells() # no-op if numbered
index = self._i2cc[key] index = self._i2cc[key]
+8 -8
View File
@@ -171,7 +171,7 @@ class TensorView(object):
iz = ix + iy*nX iz = ix + iy*nX
if iz < self.nCz: if iz < self.nCz:
ax.text((ix+1)*(self.vectorNx[-1]-self.x0[0])-pad,(iy)*(self.vectorNy[-1]-self.x0[1])+pad, ax.text((ix+1)*(self.vectorNx[-1]-self.x0[0])-pad,(iy)*(self.vectorNy[-1]-self.x0[1])+pad,
'#%i'%iz,color=annotationColor,verticalalignment='bottom',horizontalalignment='right',size='x-large') '#{0:.0f}'.format(iz),color=annotationColor,verticalalignment='bottom',horizontalalignment='right',size='x-large')
ax.set_title(vType) ax.set_title(vType)
if showIt: plt.show() if showIt: plt.show()
@@ -221,10 +221,10 @@ class TensorView(object):
vTypeOpts = ['CC', 'CCv','N','F','E','Fx','Fy','Fz','E','Ex','Ey','Ez'] vTypeOpts = ['CC', 'CCv','N','F','E','Fx','Fy','Fz','E','Ex','Ey','Ez']
# Some user error checking # Some user error checking
assert vType in vTypeOpts, "vType must be in ['%s']" % "','".join(vTypeOpts) assert vType in vTypeOpts, "vType must be in ['{0!s}']".format("','".join(vTypeOpts))
assert self.dim == 3, 'Must be a 3D mesh. Use plotImage.' assert self.dim == 3, 'Must be a 3D mesh. Use plotImage.'
assert view in viewOpts, "view must be in ['%s']" % "','".join(viewOpts) assert view in viewOpts, "view must be in ['{0!s}']".format("','".join(viewOpts))
assert normal in normalOpts, "normal must be in ['%s']" % "','".join(normalOpts) assert normal in normalOpts, "normal must be in ['{0!s}']".format("','".join(normalOpts))
assert type(grid) is bool, 'grid must be a boolean' assert type(grid) is bool, 'grid must be a boolean'
szSliceDim = getattr(self, 'nC'+normal.lower()) #: Size of the sliced dimension szSliceDim = getattr(self, 'nC'+normal.lower()) #: Size of the sliced dimension
@@ -295,7 +295,7 @@ class TensorView(object):
ax.set_xlabel('y' if normal == 'X' else 'x') ax.set_xlabel('y' if normal == 'X' else 'x')
ax.set_ylabel('y' if normal == 'Z' else 'z') ax.set_ylabel('y' if normal == 'Z' else 'z')
ax.set_title('Slice %d' % ind) ax.set_title('Slice {0:.0f}'.format(ind))
return out return out
@@ -316,11 +316,11 @@ class TensorView(object):
vTypeOptsV = ['CCv','F','E'] vTypeOptsV = ['CCv','F','E']
vTypeOpts = vTypeOptsCC + vTypeOptsV vTypeOpts = vTypeOptsCC + vTypeOptsV
if view == 'vec': if view == 'vec':
assert vType in vTypeOptsV, "vType must be in ['%s'] when view='vec'" % "','".join(vTypeOptsV) assert vType in vTypeOptsV, "vType must be in ['{0!s}'] when view='vec'".format("','".join(vTypeOptsV))
assert vType in vTypeOpts, "vType must be in ['%s']" % "','".join(vTypeOpts) assert vType in vTypeOpts, "vType must be in ['{0!s}']".format("','".join(vTypeOpts))
viewOpts = ['real','imag','abs','vec'] viewOpts = ['real','imag','abs','vec']
assert view in viewOpts, "view must be in ['%s']" % "','".join(viewOpts) assert view in viewOpts, "view must be in ['{0!s}']".format("','".join(viewOpts))
if ax is None: if ax is None:
+8 -8
View File
@@ -121,7 +121,7 @@ class Minimize(object):
@callback.setter @callback.setter
def callback(self, value): def callback(self, value):
if self.callback is not None: if self.callback is not None:
print 'The callback on the %s Optimization was replaced.' % self.__name__ print 'The callback on the {0!s} Optimization was replaced.'.format(self.__name__)
self._callback = value self._callback = value
@@ -131,7 +131,7 @@ class Minimize(object):
Minimizes the function (evalFunction) starting at the location x0. Minimizes the function (evalFunction) starting at the location x0.
:param def evalFunction: function handle that evaluates: f, g, H = F(x) :param callable evalFunction: function handle that evaluates: f, g, H = F(x)
:param numpy.ndarray x0: starting location :param numpy.ndarray x0: starting location
:rtype: numpy.ndarray :rtype: numpy.ndarray
:return: x, the last iterate of the optimization algorithm :return: x, the last iterate of the optimization algorithm
@@ -372,8 +372,8 @@ class Minimize(object):
Else, a modifySearchDirectionBreak call is preformed. Else, a modifySearchDirectionBreak call is preformed.
:param numpy.ndarray p: searchDirection :param numpy.ndarray p: searchDirection
:rtype: numpy.ndarray,bool :rtype: tuple
:return: (xt, passLS) :return: (xt, passLS) numpy.ndarray, bool
""" """
# Projected Armijo linesearch # Projected Armijo linesearch
self._LS_t = 1 self._LS_t = 1
@@ -408,8 +408,8 @@ class Minimize(object):
evalFunction returns a False indicating the break was not caught. evalFunction returns a False indicating the break was not caught.
:param numpy.ndarray p: searchDirection :param numpy.ndarray p: searchDirection
:rtype: numpy.ndarray,bool :rtype: tuple
:return: (xt, breakCaught) :return: (xt, breakCaught) numpy.ndarray, bool
""" """
self.printDone(inLS=True) self.printDone(inLS=True)
print 'The linesearch got broken. Boo.' print 'The linesearch got broken. Boo.'
@@ -855,7 +855,7 @@ class NewtonRoot(object):
if self.comments and self.doLS: print '\tLinesearch:\n' if self.comments and self.doLS: print '\tLinesearch:\n'
# Enter Linesearch # Enter Linesearch
while True and self.doLS: while True and self.doLS:
if self.comments: print '\t\tResid: %e\n'%norm(rt) if self.comments: print '\t\tResid: {0:e}\n'.format(norm(rt))
if norm(rt) <= norm(r) or norm(rt) < self.tol: if norm(rt) <= norm(r) or norm(rt) < self.tol:
break break
@@ -873,7 +873,7 @@ class NewtonRoot(object):
if norm(rt) < self.tol: if norm(rt) < self.tol:
break break
if self.iter > self.maxIter: if self.iter > self.maxIter:
print 'NewtonRoot stopped by maxIters (%d). norm: %4.4e' % (self.maxIter, norm(rt)) print 'NewtonRoot stopped by maxIters ({0:d}). norm: {1:4.4e}'.format(self.maxIter, norm(rt))
break break
return x return x
+1 -1
View File
@@ -49,7 +49,7 @@ class BaseProblem(object):
def pair(self, d): def pair(self, d):
"""Bind a survey to this problem instance using pointers.""" """Bind a survey to this problem instance using pointers."""
assert isinstance(d, self.surveyPair), "Data object must be an instance of a %s class."%(self.surveyPair.__name__) assert isinstance(d, self.surveyPair), "Data object must be an instance of a {0!s} class.".format((self.surveyPair.__name__))
if d.ispaired: if d.ispaired:
raise Exception("The survey object is already paired to a problem. Use survey.unpair()") raise Exception("The survey object is already paired to a problem. Use survey.unpair()")
self._survey = d self._survey = d
+29 -29
View File
@@ -19,85 +19,85 @@ class Property(object):
return getattr(self, '_propertyLink', None) return getattr(self, '_propertyLink', None)
@propertyLink.setter @propertyLink.setter
def propertyLink(self, value): def propertyLink(self, value):
assert type(value) is tuple and len(value) == 2 and type(value[0]) is str and issubclass(value[1], Maps.IdentityMap), 'Use format: ("%s", Maps.ReciprocalMap)'%self.name assert type(value) is tuple and len(value) == 2 and type(value[0]) is str and issubclass(value[1], Maps.IdentityMap), 'Use format: ("{0!s}", Maps.ReciprocalMap)'.format(self.name)
self._propertyLink = value self._propertyLink = value
def _getMapProperty(self): def _getMapProperty(self):
prop = self prop = self
def fget(self): def fget(self):
return getattr(self, '_%sMap'%prop.name, None) return getattr(self, '_{0!s}Map'.format(prop.name), None)
def fset(self, val): def fset(self, val):
if prop.propertyLink is not None: if prop.propertyLink is not None:
linkName, linkMap = prop.propertyLink linkName, linkMap = prop.propertyLink
assert getattr(self, '%sMap'%linkName, None) is None, 'Cannot set both sides of a linked property.' assert getattr(self, '{0!s}Map'.format(linkName), None) is None, 'Cannot set both sides of a linked property.'
# TODO: Check if the mapping can be correct # TODO: Check if the mapping can be correct
setattr(self, '_%sMap'%prop.name, val) setattr(self, '_{0!s}Map'.format(prop.name), val)
return property(fget=fget, fset=fset, doc=prop.doc) return property(fget=fget, fset=fset, doc=prop.doc)
def _getIndexProperty(self): def _getIndexProperty(self):
prop = self prop = self
def fget(self): def fget(self):
return getattr(self, '_%sIndex'%prop.name, slice(None)) return getattr(self, '_{0!s}Index'.format(prop.name), slice(None))
def fset(self, val): def fset(self, val):
setattr(self, '_%sIndex'%prop.name, val) setattr(self, '_{0!s}Index'.format(prop.name), val)
return property(fget=fget, fset=fset, doc=prop.doc) return property(fget=fget, fset=fset, doc=prop.doc)
def _getProperty(self): def _getProperty(self):
prop = self prop = self
def fget(self): def fget(self):
mapping = getattr(self, '%sMap'%prop.name) mapping = getattr(self, '{0!s}Map'.format(prop.name))
if mapping is None and prop.propertyLink is None: if mapping is None and prop.propertyLink is None:
return prop.defaultVal return prop.defaultVal
if mapping is None and prop.propertyLink is not None: if mapping is None and prop.propertyLink is not None:
linkName, linkMapClass = prop.propertyLink linkName, linkMapClass = prop.propertyLink
linkMap = linkMapClass(None) linkMap = linkMapClass(None)
if getattr(self, '%sMap'%linkName, None) is None: if getattr(self, '{0!s}Map'.format(linkName), None) is None:
return prop.defaultVal return prop.defaultVal
m = getattr(self, '%s'%linkName) m = getattr(self, '{0!s}'.format(linkName))
return linkMap * m return linkMap * m
m = getattr(self, '%sModel'%prop.name) m = getattr(self, '{0!s}Model'.format(prop.name))
return mapping * m return mapping * m
return property(fget=fget) return property(fget=fget)
def _getModelDerivProperty(self): def _getModelDerivProperty(self):
prop = self prop = self
def fget(self): def fget(self):
mapping = getattr(self, '%sMap'%prop.name) mapping = getattr(self, '{0!s}Map'.format(prop.name))
if mapping is None and prop.propertyLink is None: if mapping is None and prop.propertyLink is None:
return None return None
if mapping is None and prop.propertyLink is not None: if mapping is None and prop.propertyLink is not None:
linkName, linkMapClass = prop.propertyLink linkName, linkMapClass = prop.propertyLink
linkedMap = getattr(self, '%sMap'%linkName) linkedMap = getattr(self, '{0!s}Map'.format(linkName))
if linkedMap is None: if linkedMap is None:
return None return None
linkMap = linkMapClass(None) * linkedMap linkMap = linkMapClass(None) * linkedMap
m = getattr(self, '%sModel'%linkName) m = getattr(self, '{0!s}Model'.format(linkName))
return linkMap.deriv( m ) return linkMap.deriv( m )
m = getattr(self, '%sModel'%prop.name) m = getattr(self, '{0!s}Model'.format(prop.name))
return mapping.deriv( m ) return mapping.deriv( m )
return property(fget=fget) return property(fget=fget)
def _getModelProperty(self): def _getModelProperty(self):
prop = self prop = self
def fget(self): def fget(self):
mapping = getattr(self, '%sMap'%prop.name) mapping = getattr(self, '{0!s}Map'.format(prop.name))
if mapping is None: if mapping is None:
return None return None
index = getattr(self.propMap, '%sIndex'%prop.name) index = getattr(self.propMap, '{0!s}Index'.format(prop.name))
return self.vector[index] return self.vector[index]
return property(fget=fget) return property(fget=fget)
def _getModelProjProperty(self): def _getModelProjProperty(self):
prop = self prop = self
def fget(self): def fget(self):
mapping = getattr(self, '%sMap'%prop.name) mapping = getattr(self, '{0!s}Map'.format(prop.name))
if mapping is None: if mapping is None:
return None return None
inds = getattr(self.propMap, '%sIndex'%prop.name) inds = getattr(self.propMap, '{0!s}Index'.format(prop.name))
if type(inds) is slice: if type(inds) is slice:
inds = range(*inds.indices(self.nP)) inds = range(*inds.indices(self.nP))
nI, nP = len(inds),self.nP nI, nP = len(inds),self.nP
@@ -107,7 +107,7 @@ class Property(object):
def _getModelMapProperty(self): def _getModelMapProperty(self):
prop = self prop = self
def fget(self): def fget(self):
return getattr(self.propMap, '_%sMap'%prop.name, None) return getattr(self.propMap, '_{0!s}Map'.format(prop.name), None)
return property(fget=fget) return property(fget=fget)
@@ -123,7 +123,7 @@ class PropModel(object):
inds = [] inds = []
if getattr(self, '_nP', None) is None: if getattr(self, '_nP', None) is None:
for name in self.propMap._properties: for name in self.propMap._properties:
index = getattr(self.propMap, '%sIndex'%name, None) index = getattr(self.propMap, '{0!s}Index'.format(name), None)
if index is not None: if index is not None:
if type(index) is slice: if type(index) is slice:
inds += range(*index.indices(len(self.vector))) inds += range(*index.indices(len(self.vector)))
@@ -163,9 +163,9 @@ class _PropMapMetaClass(type):
if prop.defaultInvProp: if prop.defaultInvProp:
defaultInvProps += [p] defaultInvProps += [p]
if prop.propertyLink is not None: if prop.propertyLink is not None:
assert prop.propertyLink[0] in _properties, "You can only link to things that exist: '%s' is trying to link to '%s'"%(prop.name, prop.propertyLink[0]) assert prop.propertyLink[0] in _properties, "You can only link to things that exist: '{0!s}' is trying to link to '{1!s}'".format(prop.name, prop.propertyLink[0])
if len(defaultInvProps) > 1: if len(defaultInvProps) > 1:
raise Exception('You have more than one default inversion property: %s' % defaultInvProps) raise Exception('You have more than one default inversion property: {0!s}'.format(defaultInvProps))
newClass = super(_PropMapMetaClass, cls).__new__(cls, name, bases, attrs) newClass = super(_PropMapMetaClass, cls).__new__(cls, name, bases, attrs)
@@ -187,7 +187,7 @@ class _PropMapMetaClass(type):
attrs[attr + 'Model'] = prop._getModelProperty() attrs[attr + 'Model'] = prop._getModelProperty()
attrs[attr + 'Deriv'] = prop._getModelDerivProperty() attrs[attr + 'Deriv'] = prop._getModelDerivProperty()
return type(name.replace('PropMap', 'PropModel'), (PropModel, ), attrs) return type('PropModel', (PropModel, ), attrs)
class PropMap(object): class PropMap(object):
@@ -223,7 +223,7 @@ class PropMap(object):
type(m[0]) is str and type(m[0]) is str and
m[0] in self._properties and m[0] in self._properties and
isinstance(m[1], Maps.IdentityMap) isinstance(m[1], Maps.IdentityMap)
for m in maps]), "Use signature: [%s]" % (', '.join(["('%s', %sMap)"%(p,p) for p in self._properties])) for m in maps]), "Use signature: [{0!s}]".format((', '.join(["('{0!s}', {1!s}Map)".format(p, p) for p in self._properties])))
if slices is None: if slices is None:
slices = dict() slices = dict()
else: else:
@@ -236,8 +236,8 @@ class PropMap(object):
nP = 0 nP = 0
for name, mapping in maps: for name, mapping in maps:
setattr(self, '%sMap'%name, mapping) setattr(self, '{0!s}Map'.format(name), mapping)
setattr(self, '%sIndex'%name, slices.get(name, slice(nP, nP + mapping.nP))) setattr(self, '{0!s}Index'.format(name), slices.get(name, slice(nP, nP + mapping.nP)))
nP += mapping.nP nP += mapping.nP
self.nP = nP self.nP = nP
@@ -250,12 +250,12 @@ class PropMap(object):
def clearMaps(self): def clearMaps(self):
for name in self._properties: for name in self._properties:
setattr(self, '%sMap'%name, None) setattr(self, '{0!s}Map'.format(name), None)
setattr(self, '%sIndex'%name, None) setattr(self, '{0!s}Index'.format(name), None)
def __call__(self, vec): def __call__(self, vec):
return self.PropModel(self, vec) return self.PropModel(self, vec)
def __contains__(self, val): def __contains__(self, val):
activeMaps = [name for name in self._properties if getattr(self, '%sMap'%name) is not None] activeMaps = [name for name in self._properties if getattr(self, '{0!s}Map'.format(name)) is not None]
return val in activeMaps return val in activeMaps
+6 -6
View File
@@ -10,7 +10,7 @@ class RegularizationMesh(object):
are not necessarily true differential operators, but are constructed from are not necessarily true differential operators, but are constructed from
a SimPEG Mesh. a SimPEG Mesh.
:param Mesh mesh: problem mesh :param BaseMesh mesh: problem mesh
:param numpy.array indActive: bool array, size nC, that is True where we have active cells. Used to reduce the operators so we regularize only on active cells :param numpy.array indActive: bool array, size nC, that is True where we have active cells. Used to reduce the operators so we regularize only on active cells
""" """
@@ -383,8 +383,8 @@ class BaseRegularization(object):
:param numpy.array m: geophysical model :param numpy.array m: geophysical model
:param numpy.array v: vector to multiply :param numpy.array v: vector to multiply
:rtype: scipy.sparse.csr_matrix or numpy.ndarray :rtype: scipy.sparse.csr_matrix
:return: WtW or WtW*v :return: WtW, or if v is supplied WtW*v (numpy.ndarray)
The regularization is: The regularization is:
@@ -650,8 +650,8 @@ class Tikhonov(Simple):
Note if the key word argument `mrefInSmooth` is False, then mref is not Note if the key word argument `mrefInSmooth` is False, then mref is not
included in the smoothness contribution. included in the smoothness contribution.
:param Mesh mesh: SimPEG mesh :param BaseMesh mesh: SimPEG mesh
:param Maps mapping: regularization mapping, takes the model from model space to the thing you want to regularize :param IdentityMap mapping: regularization mapping, takes the model from model space to the thing you want to regularize
:param numpy.ndarray indActive: active cell indices for reducing the size of differential operators in the definition of a regularization mesh :param numpy.ndarray indActive: active cell indices for reducing the size of differential operators in the definition of a regularization mesh
:param bool mrefInSmooth: (default = False) put mref in the smoothness component? :param bool mrefInSmooth: (default = False) put mref in the smoothness component?
:param float alpha_s: (default 1e-6) smallness weight :param float alpha_s: (default 1e-6) smallness weight
@@ -671,7 +671,7 @@ class Tikhonov(Simple):
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, indActive = None, **kwargs): def __init__(self, mesh, mapping=None, indActive=None, **kwargs):
BaseRegularization.__init__(self, mesh, mapping=mapping, indActive=indActive, **kwargs) BaseRegularization.__init__(self, mesh, mapping=mapping, indActive=indActive, **kwargs)
@property @property
+8 -9
View File
@@ -26,7 +26,7 @@ class BaseRx(object):
def rxType(self, value): def rxType(self, value):
known = self.knownRxTypes known = self.knownRxTypes
if known is not None: if known is not None:
assert value in known, "rxType must be in ['%s']" % ("', '".join(known)) assert value in known, "rxType must be in ['{0!s}']".format(("', '".join(known)))
self._rxType = value self._rxType = value
@property @property
@@ -125,7 +125,7 @@ class BaseSrc(object):
def __init__(self, rxList, **kwargs): def __init__(self, rxList, **kwargs):
assert type(rxList) is list, 'rxList must be a list' assert type(rxList) is list, 'rxList must be a list'
for rx in rxList: for rx in rxList:
assert isinstance(rx, self.rxPair), 'rxList must be a %s'%self.rxPair.__name__ assert isinstance(rx, self.rxPair), 'rxList must be a {0!s}'.format(self.rxPair.__name__)
assert len(set(rxList)) == len(rxList), 'The rxList must be unique' assert len(set(rxList)) == len(rxList), 'The rxList must be unique'
self.uid = str(uuid.uuid4()) self.uid = str(uuid.uuid4())
self.rxList = rxList self.rxList = rxList
@@ -227,7 +227,7 @@ class BaseSurvey(object):
@srcList.setter @srcList.setter
def srcList(self, value): def srcList(self, value):
assert type(value) is list, 'srcList must be a list' assert type(value) is list, 'srcList must be a list'
assert np.all([isinstance(src, self.srcPair) for src in value]), 'All sources must be instances of %s' % self.srcPair.__name__ assert np.all([isinstance(src, self.srcPair) for src in value]), 'All sources must be instances of {0!s}'.format(self.srcPair.__name__)
assert len(set(value)) == len(value), 'The srcList must be unique' assert len(set(value)) == len(value), 'The srcList must be unique'
self._srcList = value self._srcList = value
self._sourceOrder = dict() self._sourceOrder = dict()
@@ -238,10 +238,10 @@ class BaseSurvey(object):
sources = [sources] sources = [sources]
for src in sources: for src in sources:
if getattr(src,'uid',None) is None: if getattr(src,'uid',None) is None:
raise KeyError('Source does not have a uid: %s'%str(src)) raise KeyError('Source does not have a uid: {0!s}'.format(str(src)))
inds = map(lambda src: self._sourceOrder.get(src.uid, None), sources) inds = map(lambda src: self._sourceOrder.get(src.uid, None), sources)
if None in inds: if None in inds:
raise KeyError('Some of the sources specified are not in this survey. %s'%str(inds)) raise KeyError('Some of the sources specified are not in this survey. {0!s}'.format(str(inds)))
return inds return inds
@property @property
@@ -263,7 +263,7 @@ class BaseSurvey(object):
def pair(self, p): def pair(self, p):
"""Bind a problem to this survey instance using pointers""" """Bind a problem to this survey instance using pointers"""
assert hasattr(p, 'surveyPair'), "Problem must have an attribute 'surveyPair'." assert hasattr(p, 'surveyPair'), "Problem must have an attribute 'surveyPair'."
assert isinstance(self, p.surveyPair), "Problem requires survey object must be an instance of a %s class."%(p.surveyPair.__name__) assert isinstance(self, p.surveyPair), "Problem requires survey object must be an instance of a {0!s} class.".format((p.surveyPair.__name__))
if p.ispaired: if p.ispaired:
raise Exception("The problem object is already paired to a survey. Use prob.unpair()") raise Exception("The problem object is already paired to a survey. Use prob.unpair()")
self._prob = p self._prob = p
@@ -311,7 +311,6 @@ class BaseSurvey(object):
if f is None: f = self.prob.fields(m) if f is None: f = self.prob.fields(m)
return Utils.mkvc(self.eval(f)) return Utils.mkvc(self.eval(f))
@Utils.count @Utils.count
def eval(self, f): def eval(self, f):
"""eval(f) """eval(f)
@@ -322,7 +321,7 @@ class BaseSurvey(object):
d_\\text{pred} = \mathbf{P} f(m) d_\\text{pred} = \mathbf{P} f(m)
""" """
raise NotImplemented('eval is not yet implemented.') raise NotImplementedError('eval is not yet implemented.')
@Utils.count @Utils.count
def evalDeriv(self, f): def evalDeriv(self, f):
@@ -334,7 +333,7 @@ class BaseSurvey(object):
\\frac{\partial d_\\text{pred}}{\partial u} = \mathbf{P} \\frac{\partial d_\\text{pred}}{\partial u} = \mathbf{P}
""" """
raise NotImplemented('eval is not yet implemented.') raise NotImplementedError('eval is not yet implemented.')
@Utils.count @Utils.count
def residual(self, m, f=None): def residual(self, m, f=None):
+9 -10
View File
@@ -4,7 +4,6 @@ from SimPEG.Utils import mkvc, sdiag, diagEst
from SimPEG import Utils from SimPEG import Utils
from SimPEG.Mesh import TensorMesh, CurvilinearMesh, CylMesh from SimPEG.Mesh import TensorMesh, CurvilinearMesh, CylMesh
from SimPEG.Mesh.TreeMesh import TreeMesh as Tree from SimPEG.Mesh.TreeMesh import TreeMesh as Tree
import numpy as np
import scipy.sparse as sp import scipy.sparse as sp
import unittest import unittest
import inspect import inspect
@@ -200,10 +199,10 @@ class OrderTest(unittest.TestCase):
print '_____________________________________________' print '_____________________________________________'
print ' h | error | e(i-1)/e(i) | order' print ' h | error | e(i-1)/e(i) | order'
print '~~~~~~|~~~~~~~~~~~~~|~~~~~~~~~~~~~|~~~~~~~~~~' print '~~~~~~|~~~~~~~~~~~~~|~~~~~~~~~~~~~|~~~~~~~~~~'
print '%4i | %8.2e |' % (nc, err) print '{0:4d} | {1:8.2e} |'.format(nc, err)
else: else:
order.append(np.log(err/err_old)/np.log(max_h/max_h_old)) order.append(np.log(err/err_old)/np.log(max_h/max_h_old))
print '%4i | %8.2e | %6.4f | %6.4f' % (nc, err, err_old/err, order[-1]) print '{0:4d} | {1:8.2e} | {2:6.4f} | {3:6.4f}'.format(nc, err, err_old/err, order[-1])
err_old = err err_old = err
max_h_old = max_h max_h_old = max_h
print '---------------------------------------------' print '---------------------------------------------'
@@ -237,7 +236,7 @@ def checkDerivative(fctn, x0, num=7, plotIt=True, dx=None, expectedOrder=2, tole
Compares error decay of 0th and 1st order Taylor approximation at point Compares error decay of 0th and 1st order Taylor approximation at point
x0 for a randomized search direction. x0 for a randomized search direction.
:param lambda fctn: function handle :param callable fctn: function handle
:param numpy.array x0: point at which to check derivative :param numpy.array x0: point at which to check derivative
:param int num: number of times to reduce step length, h :param int num: number of times to reduce step length, h
:param bool plotIt: if you would like to plot :param bool plotIt: if you would like to plot
@@ -258,8 +257,8 @@ def checkDerivative(fctn, x0, num=7, plotIt=True, dx=None, expectedOrder=2, tole
Tests.checkDerivative(simplePass, np.random.randn(5)) Tests.checkDerivative(simplePass, np.random.randn(5))
""" """
print "%s checkDerivative %s" % ('='*20, '='*20) print "{0!s} checkDerivative {1!s}".format('='*20, '='*20)
print "iter h |ft-f0| |ft-f0-h*J0*dx| Order\n%s" % ('-'*57) print "iter h |ft-f0| |ft-f0-h*J0*dx| Order\n{0!s}".format(('-'*57))
f0, J0 = fctn(x0) f0, J0 = fctn(x0)
@@ -290,7 +289,7 @@ def checkDerivative(fctn, x0, num=7, plotIt=True, dx=None, expectedOrder=2, tole
order0 = np.log10(E0[:-1]/E0[1:]) order0 = np.log10(E0[:-1]/E0[1:])
order1 = np.log10(E1[:-1]/E1[1:]) order1 = np.log10(E1[:-1]/E1[1:])
print " %d %1.2e %1.3e %1.3e %1.3f" % (i, h[i], E0[i], E1[i], np.nan if i == 0 else order1[i-1]) print " {0:d} {1:1.2e} {2:1.3e} {3:1.3e} {4:1.3f}".format(i, h[i], E0[i], E1[i], np.nan if i == 0 else order1[i-1])
# Ensure we are about precision # Ensure we are about precision
order0 = order0[E0[1:] > eps] order0 = order0[E0[1:] > eps]
@@ -302,10 +301,10 @@ def checkDerivative(fctn, x0, num=7, plotIt=True, dx=None, expectedOrder=2, tole
passTest = belowTol or correctOrder passTest = belowTol or correctOrder
if passTest: if passTest:
print "%s PASS! %s" % ('='*25, '='*25) print "{0!s} PASS! {1!s}".format('='*25, '='*25)
print happiness[np.random.randint(len(happiness))]+'\n' print happiness[np.random.randint(len(happiness))]+'\n'
else: else:
print "%s\n%s FAIL! %s\n%s" % ('*'*57, '<'*25, '>'*25, '*'*57) print "{0!s}\n{1!s} FAIL! {2!s}\n{3!s}".format('*'*57, '<'*25, '>'*25, '*'*57)
print sadness[np.random.randint(len(sadness))]+'\n' print sadness[np.random.randint(len(sadness))]+'\n'
@@ -314,7 +313,7 @@ def checkDerivative(fctn, x0, num=7, plotIt=True, dx=None, expectedOrder=2, tole
ax = ax or plt.subplot(111) ax = ax or plt.subplot(111)
ax.loglog(h, E0, 'b') ax.loglog(h, E0, 'b')
ax.loglog(h, E1, 'g--') ax.loglog(h, E1, 'g--')
ax.set_title('Check Derivative - %s' % ('PASSED :)' if passTest else 'FAILED :(')) ax.set_title('Check Derivative - {0!s}'.format(('PASSED :)' if passTest else 'FAILED :(')))
ax.set_xlabel('h') ax.set_xlabel('h')
ax.set_ylabel('Error') ax.set_ylabel('Error')
leg = ax.legend(['$\mathcal{O}(h)$', '$\mathcal{O}(h^2)$'], loc='best', leg = ax.legend(['$\mathcal{O}(h)$', '$\mathcal{O}(h^2)$'], loc='best',
+13 -13
View File
@@ -7,11 +7,11 @@ def addBlock(gridCC, modelCC, p0, p1, blockProp):
""" """
Add a block to an exsisting cell centered model, modelCC Add a block to an exsisting cell centered model, modelCC
:param numpy.array, gridCC: mesh.gridCC is the cell centered grid :param numpy.array gridCC: mesh.gridCC is the cell centered grid
:param numpy.array, modelCC: cell centered model :param numpy.array modelCC: cell centered model
:param numpy.array, p0: bottom, southwest corner of block :param numpy.array p0: bottom, southwest corner of block
:param numpy.array, p1: top, northeast corner of block :param numpy.array p1: top, northeast corner of block
:blockProp float, blockProp: property to assign to the model :blockProp float blockProp: property to assign to the model
:return numpy.array, modelBlock: model with block :return numpy.array, modelBlock: model with block
""" """
@@ -147,7 +147,7 @@ def getIndicesSphere(center,radius,ccMesh):
if dimMesh == 1: if dimMesh == 1:
# Define the reference points # Define the reference points
ind = np.abs(center[0] - ccMesh[:,0]) < radius ind = np.abs(center[0] - ccMesh[:,0]) < radius
elif dimMesh == 2: elif dimMesh == 2:
@@ -222,14 +222,14 @@ def layeredModel(ccMesh, layerTops, layerValues):
:param numpy.array ccMesh: cell-centered mesh :param numpy.array ccMesh: cell-centered mesh
:param numpy.array layerTops: z-locations of the tops of each layer :param numpy.array layerTops: z-locations of the tops of each layer
:param numpy.array layerValue: values of the property to assign for each layer (starting at the top) :param numpy.array layerValue: values of the property to assign for each layer (starting at the top)
:rtype: numpy.array :rtype: numpy.array
:return: M, layered model on the mesh :return: M, layered model on the mesh
""" """
descending = np.linalg.norm(sorted(layerTops, reverse=True) - layerTops) < 1e-20 descending = np.linalg.norm(sorted(layerTops, reverse=True) - layerTops) < 1e-20
# TODO: put an error check to make sure that there is an ordering... needs to work with inf elts # TODO: put an error check to make sure that there is an ordering... needs to work with inf elts
# assert ascending or descending, "Layers must be listed in either ascending or descending order" # assert ascending or descending, "Layers must be listed in either ascending or descending order"
# start from bottom up # start from bottom up
@@ -253,10 +253,10 @@ def layeredModel(ccMesh, layerTops, layerValues):
model = np.zeros(ccMesh.shape[0]) model = np.zeros(ccMesh.shape[0])
for i, top in enumerate(layerTops): for i, top in enumerate(layerTops):
zind = z <= top zind = z <= top
model[zind] = layerValues[i] model[zind] = layerValues[i]
return model return model
@@ -265,9 +265,9 @@ def randomModel(shape, seed=None, anisotropy=None, its=100, bounds=None):
Create a random model by convolving a kernel with a Create a random model by convolving a kernel with a
uniformly distributed model. uniformly distributed model.
:param int,tuple shape: shape of the model. :param tuple shape: shape of the model.
:param int seed: pick which model to produce, prints the seed if you don't choose. :param int seed: pick which model to produce, prints the seed if you don't choose.
:param numpy.ndarray,list anisotropy: this is the (3 x n) blurring kernel that is used. :param numpy.ndarray anisotropy: this is the (3 x n) blurring kernel that is used.
:param int its: number of smoothing iterations :param int its: number of smoothing iterations
:param list bounds: bounds on the model, len(list) == 2 :param list bounds: bounds on the model, len(list) == 2
:rtype: numpy.ndarray :rtype: numpy.ndarray
+8 -8
View File
@@ -8,12 +8,12 @@ def _checkAccuracy(A, b, X, accuracyTol):
if nrm_b > 0: if nrm_b > 0:
nrm /= nrm_b nrm /= nrm_b
if nrm > accuracyTol: if nrm > accuracyTol:
msg = '### SolverWarning ###: Accuracy on solve is above tolerance: %e > %e' % (nrm, accuracyTol) msg = '### SolverWarning ###: Accuracy on solve is above tolerance: {0:e} > {1:e}'.format(nrm, accuracyTol)
print msg print msg
warnings.warn(msg, RuntimeWarning) warnings.warn(msg, RuntimeWarning)
def SolverWrapD(fun, factorize=True, checkAccuracy=True, accuracyTol=1e-6): def SolverWrapD(fun, factorize=True, checkAccuracy=True, accuracyTol=1e-6, name=None):
""" """
Wraps a direct Solver. Wraps a direct Solver.
@@ -72,11 +72,11 @@ def SolverWrapD(fun, factorize=True, checkAccuracy=True, accuracyTol=1e-6):
if factorize and hasattr(self.solver, 'clean'): if factorize and hasattr(self.solver, 'clean'):
return self.solver.clean() return self.solver.clean()
return type(fun.__name__+'_Wrapped', (object,), {"__init__": __init__, "clean": clean, "__mul__": __mul__}) return type(name if name is not None else fun.__name__, (object,), {"__init__": __init__, "clean": clean, "__mul__": __mul__})
def SolverWrapI(fun, checkAccuracy=True, accuracyTol=1e-5): def SolverWrapI(fun, checkAccuracy=True, accuracyTol=1e-5, name=None):
""" """
Wraps an iterative Solver. Wraps an iterative Solver.
@@ -128,13 +128,13 @@ def SolverWrapI(fun, checkAccuracy=True, accuracyTol=1e-5):
def clean(self): def clean(self):
pass pass
return type(fun.__name__+'_Wrapped', (object,), {"__init__": __init__, "clean": clean, "__mul__": __mul__}) return type(name if name is not None else fun.__name__, (object,), {"__init__": __init__, "clean": clean, "__mul__": __mul__})
from scipy.sparse import linalg from scipy.sparse import linalg
Solver = SolverWrapD(linalg.spsolve, factorize=False) Solver = SolverWrapD(linalg.spsolve, factorize=False, name="Solver")
SolverLU = SolverWrapD(linalg.splu, factorize=True) SolverLU = SolverWrapD(linalg.splu, factorize=True, name="SolverLU")
SolverCG = SolverWrapI(linalg.cg) SolverCG = SolverWrapI(linalg.cg, name="SolverCG")
class SolverDiag(object): class SolverDiag(object):
+15 -15
View File
@@ -32,7 +32,7 @@ def memProfileWrapper(towrap, *funNames):
if hasattr(towrap,f): if hasattr(towrap,f):
attrs[f] = profile(getattr(towrap,f)) attrs[f] = profile(getattr(towrap,f))
else: else:
print '%s not found in %s Class' % (f, towrap.__name__) print '{0!s} not found in {1!s} Class'.format(f, towrap.__name__)
return type(towrap.__name__ + 'MemProfileWrap', (towrap,), attrs) return type(towrap.__name__ + 'MemProfileWrap', (towrap,), attrs)
@@ -65,7 +65,7 @@ def setKwargs(obj, ignore=None, **kwargs):
if hasattr(obj, attr): if hasattr(obj, attr):
setattr(obj, attr, kwargs[attr]) setattr(obj, attr, kwargs[attr])
else: else:
raise Exception('%s attr is not recognized' % attr) raise Exception('{0!s} attr is not recognized'.format(attr))
hook(obj,hook, silent=True) hook(obj,hook, silent=True)
hook(obj,setKwargs, silent=True) hook(obj,setKwargs, silent=True)
@@ -74,7 +74,7 @@ def printTitles(obj, printers, name='Print Titles', pad=''):
titles = '' titles = ''
widths = 0 widths = 0
for printer in printers: for printer in printers:
titles += ('{:^%i}'%printer['width']).format(printer['title']) + '' titles += ('{{:^{0:d}}}'.format(printer['width'])).format(printer['title']) + ''
widths += printer['width'] widths += printer['width']
print pad + "{0} {1} {0}".format('='*((widths-1-len(name))/2), name) print pad + "{0} {1} {0}".format('='*((widths-1-len(name))/2), name)
print pad + titles print pad + titles
@@ -83,7 +83,7 @@ def printTitles(obj, printers, name='Print Titles', pad=''):
def printLine(obj, printers, pad=''): def printLine(obj, printers, pad=''):
values = '' values = ''
for printer in printers: for printer in printers:
values += ('{:^%i}'%printer['width']).format(printer['format'] % printer['value'](obj)) values += ('{{:^{0:d}}}'.format(printer['width'])).format(printer['format'] % printer['value'](obj))
print pad + values print pad + values
def checkStoppers(obj, stoppers): def checkStoppers(obj, stoppers):
@@ -104,12 +104,12 @@ def checkStoppers(obj, stoppers):
return (len(optimal)>0 and all(optimal)) | (len(critical)>0 and any(critical)) return (len(optimal)>0 and all(optimal)) | (len(critical)>0 and any(critical))
def printStoppers(obj, stoppers, pad='', stop='STOP!', done='DONE!'): def printStoppers(obj, stoppers, pad='', stop='STOP!', done='DONE!'):
print pad + "%s%s%s" % ('-'*25,stop,'-'*25) print pad + "{0!s}{1!s}{2!s}".format('-'*25, stop, '-'*25)
for stopper in stoppers: for stopper in stoppers:
l = stopper['left'](obj) l = stopper['left'](obj)
r = stopper['right'](obj) r = stopper['right'](obj)
print pad + stopper['str'] % (l<=r,l,r) print pad + stopper['str'] % (l<=r,l,r)
print pad + "%s%s%s" % ('-'*25,done,'-'*25) print pad + "{0!s}{1!s}{2!s}".format('-'*25, done, '-'*25)
def callHooks(match, mainFirst=False): def callHooks(match, mainFirst=False):
""" """
@@ -144,14 +144,14 @@ def callHooks(match, mainFirst=False):
extra = """ extra = """
If you have things that also need to run in the method %s, you can create a method:: If you have things that also need to run in the method {0!s}, you can create a method::
def _%s*(self, ... ): def _{1!s}*(self, ... ):
pass pass
Where the * can be any string. If present, _%s* will be called at the start of the default %s call. Where the * can be any string. If present, _{2!s}* will be called at the start of the default {3!s} call.
You may also completely overwrite this function. You may also completely overwrite this function.
""" % (match, match, match, match) """.format(match, match, match, match)
doc = wrapper.__doc__ doc = wrapper.__doc__
wrapper.__doc__ = ('' if doc is None else doc) + extra wrapper.__doc__ = ('' if doc is None else doc) + extra
return wrapper return wrapper
@@ -186,7 +186,7 @@ def asArray_N_x_Dim(pts, dim):
elif len(pts.shape) == 1: elif len(pts.shape) == 1:
pts = pts[:,np.newaxis] pts = pts[:,np.newaxis]
assert pts.shape[1] == dim, "pts must be a column vector of shape (nPts, %d) not (%d, %d)" % ((dim,)+pts.shape) assert pts.shape[1] == dim, "pts must be a column vector of shape (nPts, {0:d}) not ({1:d}, {2:d})".format(*((dim,)+pts.shape))
return pts return pts
@@ -207,17 +207,17 @@ def requires(var):
.. note:: .. note::
To use survey.%s(), SimPEG requires that a problem be bound to the survey. To use survey.{0!s}(), SimPEG requires that a problem be bound to the survey.
If a problem has not been bound, an Exception will be raised. If a problem has not been bound, an Exception will be raised.
To bind a problem to the Data object:: To bind a problem to the Data object::
survey.pair(myProblem) survey.pair(myProblem)
""" % f.__name__ """.format(f.__name__)
else: else:
extra = """ extra = """
To use *%s* method, SimPEG requires that the %s be specified. To use *{0!s}* method, SimPEG requires that the {1!s} be specified.
""" % (f.__name__, var) """.format(f.__name__, var)
@wraps(f) @wraps(f)
def requiresVarWrapper(self,*args,**kwargs): def requiresVarWrapper(self,*args,**kwargs):
if getattr(self, var, None) is None: if getattr(self, var, None) is None:
+1 -1
View File
@@ -80,7 +80,7 @@ def indexCube(nodes, gridSize, n=None):
# Make sure that we choose from the possible nodes. # Make sure that we choose from the possible nodes.
possibleNodes = 'ABCD' if gridSize.size == 2 else 'ABCDEFGH' possibleNodes = 'ABCD' if gridSize.size == 2 else 'ABCDEFGH'
for node in nodes: for node in nodes:
assert node in possibleNodes, "Nodes must be chosen from: '%s'" % possibleNodes assert node in possibleNodes, "Nodes must be chosen from: '{0!s}'".format(possibleNodes)
dim = gridSize.size dim = gridSize.size
if n is None: if n is None:
n = gridSize - 1 n = gridSize - 1
+1 -1
View File
@@ -25,7 +25,7 @@ def interpmat(locs, x, y=None, z=None):
:param numpy.ndarray x: Tensor vector of 1st dimension of grid. :param numpy.ndarray x: Tensor vector of 1st dimension of grid.
:param numpy.ndarray y: Tensor vector of 2nd dimension of grid. None by default. :param numpy.ndarray y: Tensor vector of 2nd dimension of grid. None by default.
:param numpy.ndarray z: Tensor vector of 3rd dimension of grid. None by default. :param numpy.ndarray z: Tensor vector of 3rd dimension of grid. None by default.
:rtype: scipy.sparse.csr.csr_matrix :rtype: scipy.sparse.csr_matrix
:return: Interpolation matrix :return: Interpolation matrix
.. plot:: .. plot::
+7 -7
View File
@@ -27,7 +27,7 @@ def mkvc(x, numDims=1):
if isinstance(x, Zero): if isinstance(x, Zero):
return x return x
assert isinstance(x, np.ndarray), "Vector must be a numpy array" assert isinstance(x, np.ndarray), "Vector must be a numpy array"
if numDims == 1: if numDims == 1:
@@ -278,7 +278,7 @@ class TensorType(object):
else: else:
raise Exception('Unexpected shape of tensor') raise Exception('Unexpected shape of tensor')
def __str__(self): def __str__(self):
return 'TensorType[%i]: %s' % (self._tt, self._tts) return 'TensorType[{0:d}]: {1!s}'.format(self._tt, self._tts)
def __eq__(self, v): return self._tt == v def __eq__(self, v): return self._tt == v
def __le__(self, v): return self._tt <= v def __le__(self, v): return self._tt <= v
def __ge__(self, v): return self._tt >= v def __ge__(self, v): return self._tt >= v
@@ -355,9 +355,9 @@ def diagEst(matFun, n, k=None, approach='Probing'):
2. Ones : random +/- 1 entries 2. Ones : random +/- 1 entries
3. Random : random vectors 3. Random : random vectors
:param lambda (numpy.array) matFun: matrix to estimate the diagonal of :param callable matFun: takes a (numpy.array) and multiplies it by a matrix to estimate the diagonal
:param int64 n: size of the vector that should be used to compute matFun(v) :param int n: size of the vector that should be used to compute matFun(v)
:param int64 k: number of vectors to be used to estimate the diagonal :param int k: number of vectors to be used to estimate the diagonal
:param str approach: approach to be used for getting vectors :param str approach: approach to be used for getting vectors
:rtype: numpy.array :rtype: numpy.array
:return: est_diag(A) :return: est_diag(A)
@@ -422,9 +422,9 @@ class Zero(object):
def __ge__(self, v):return 0 >= v def __ge__(self, v):return 0 >= v
def __gt__(self, v):return 0 > v def __gt__(self, v):return 0 > v
@property @property
def transpose(self): return Zero() def transpose(self): return Zero()
@property @property
def T(self): return Zero() def T(self): return Zero()
+18 -14
View File
@@ -83,7 +83,7 @@ def closestPoints(mesh, pts, gridLoc='CC'):
""" """
Move a list of points to the closest points on a grid. Move a list of points to the closest points on a grid.
:param simpeg.Mesh.BaseMesh mesh: The mesh :param BaseMesh mesh: The mesh
:param numpy.ndarray pts: Points to move :param numpy.ndarray pts: Points to move
:param string gridLoc: ['CC', 'N', 'Fx', 'Fy', 'Fz', 'Ex', 'Ex', 'Ey', 'Ez'] :param string gridLoc: ['CC', 'N', 'Fx', 'Fy', 'Fz', 'Ex', 'Ex', 'Ey', 'Ez']
:rtype: numpy.ndarray :rtype: numpy.ndarray
@@ -104,16 +104,20 @@ def closestPoints(mesh, pts, gridLoc='CC'):
def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'): def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'):
""" """
Extracts Core Mesh from Global mesh Extracts Core Mesh from Global mesh
xyzlim: 2D array [ndim x 2]
mesh: SimPEG mesh :param numpy.ndarray xyzlim: 2D array [ndim x 2]
This function ouputs: :param BaseMesh mesh: The mesh
- actind: corresponding boolean index from global to core
- meshcore: core SimPEG mesh This function ouputs::
Warning: 1D and 2D has not been tested
- actind: corresponding boolean index from global to core
- meshcore: core SimPEG mesh
Warning: 1D and 2D has not been tested
""" """
from SimPEG import Mesh from SimPEG import Mesh
if mesh.dim ==1: if mesh.dim == 1:
xyzlim = xyzlim.flatten() xyzlim = xyzlim.flatten()
xmin, xmax = xyzlim[0], xyzlim[1] xmin, xmax = xyzlim[0], xyzlim[1]
@@ -125,11 +129,11 @@ def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'):
x0 = [xc[0]-hx[0]*0.5, yc[0]-hy[0]*0.5] x0 = [xc[0]-hx[0]*0.5, yc[0]-hy[0]*0.5]
meshCore = Mesh.TensorMesh([hx, hy] ,x0=x0) meshCore = Mesh.TensorMesh([hx, hy], x0=x0)
actind = (mesh.gridCC[:,0]>xmin) & (mesh.gridCC[:,0]<xmax) actind = (mesh.gridCC[:,0]>xmin) & (mesh.gridCC[:,0]<xmax)
elif mesh.dim ==2: elif mesh.dim == 2:
xmin, xmax = xyzlim[0,0], xyzlim[0,1] xmin, xmax = xyzlim[0,0], xyzlim[0,1]
ymin, ymax = xyzlim[1,0], xyzlim[1,1] ymin, ymax = xyzlim[1,0], xyzlim[1,1]
@@ -144,12 +148,12 @@ def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'):
x0 = [xc[0]-hx[0]*0.5, yc[0]-hy[0]*0.5] x0 = [xc[0]-hx[0]*0.5, yc[0]-hy[0]*0.5]
meshCore = Mesh.TensorMesh([hx, hy] ,x0=x0) meshCore = Mesh.TensorMesh([hx, hy], x0=x0)
actind = (mesh.gridCC[:,0]>xmin) & (mesh.gridCC[:,0]<xmax) \ actind = (mesh.gridCC[:,0]>xmin) & (mesh.gridCC[:,0]<xmax) \
& (mesh.gridCC[:,1]>ymin) & (mesh.gridCC[:,1]<ymax) \ & (mesh.gridCC[:,1]>ymin) & (mesh.gridCC[:,1]<ymax) \
elif mesh.dim==3: elif mesh.dim == 3:
xmin, xmax = xyzlim[0,0], xyzlim[0,1] xmin, xmax = xyzlim[0,0], xyzlim[0,1]
ymin, ymax = xyzlim[1,0], xyzlim[1,1] ymin, ymax = xyzlim[1,0], xyzlim[1,1]
zmin, zmax = xyzlim[2,0], xyzlim[2,1] zmin, zmax = xyzlim[2,0], xyzlim[2,1]
@@ -168,7 +172,7 @@ def ExtractCoreMesh(xyzlim, mesh, meshType='tensor'):
x0 = [xc[0]-hx[0]*0.5, yc[0]-hy[0]*0.5, zc[0]-hz[0]*0.5] x0 = [xc[0]-hx[0]*0.5, yc[0]-hy[0]*0.5, zc[0]-hz[0]*0.5]
meshCore = Mesh.TensorMesh([hx, hy, hz] ,x0=x0) meshCore = Mesh.TensorMesh([hx, hy, hz], x0=x0)
actind = (mesh.gridCC[:,0]>xmin) & (mesh.gridCC[:,0]<xmax) \ actind = (mesh.gridCC[:,0]>xmin) & (mesh.gridCC[:,0]<xmax) \
& (mesh.gridCC[:,1]>ymin) & (mesh.gridCC[:,1]<ymax) \ & (mesh.gridCC[:,1]>ymin) & (mesh.gridCC[:,1]<ymax) \
+2 -2
View File
@@ -26,7 +26,7 @@ def surface2ind_topo(mesh, topo, gridLoc='CC'):
gridTopo = Ftopo(XY).reshape(mesh.vnN[:2], order='F') gridTopo = Ftopo(XY).reshape(mesh.vnN[:2], order='F')
if mesh._meshType not in ['TENSOR', 'CYL', 'BASETENSOR']: if mesh._meshType not in ['TENSOR', 'CYL', 'BASETENSOR']:
raise NotImplementedError('Nodal surface2ind_topo not implemented for %s mesh'%mesh._meshType) raise NotImplementedError('Nodal surface2ind_topo not implemented for {0!s} mesh'.format(mesh._meshType))
Nz = mesh.vectorNz[1:] # TODO: this will only work for tensor meshes Nz = mesh.vectorNz[1:] # TODO: this will only work for tensor meshes
actind = np.array([False]*mesh.nC).reshape(mesh.vnC, order='F') actind = np.array([False]*mesh.nC).reshape(mesh.vnC, order='F')
@@ -47,7 +47,7 @@ def surface2ind_topo(mesh, topo, gridLoc='CC'):
gridTopo = Ftopo(mesh.vectorNx) gridTopo = Ftopo(mesh.vectorNx)
if mesh._meshType not in ['TENSOR', 'CYL', 'BASETENSOR']: if mesh._meshType not in ['TENSOR', 'CYL', 'BASETENSOR']:
raise NotImplementedError('Nodal surface2ind_topo not implemented for %s mesh'%mesh._meshType) raise NotImplementedError('Nodal surface2ind_topo not implemented for {0!s} mesh'.format(mesh._meshType))
Ny = mesh.vectorNy[1:] # TODO: this will only work for tensor meshes Ny = mesh.vectorNy[1:] # TODO: this will only work for tensor meshes
actind = np.array([False]*mesh.nC).reshape(mesh.vnC, order='F') actind = np.array([False]*mesh.nC).reshape(mesh.vnC, order='F')
+1 -1
View File
@@ -15,7 +15,7 @@ import Directives
import Inversion import Inversion
import Tests import Tests
__version__ = '0.1.10' __version__ = '0.1.12'
__author__ = 'Rowan Cockett' __author__ = 'Rowan Cockett'
__license__ = 'MIT' __license__ = 'MIT'
__copyright__ = 'Copyright 2014 Rowan Cockett' __copyright__ = 'Copyright 2014 Rowan Cockett'
+1 -1
View File
@@ -2,7 +2,7 @@
# #
# You can set these variables from the command line. # You can set these variables from the command line.
SPHINXOPTS = SPHINXOPTS = -n -w warnings.txt
SPHINXBUILD = sphinx-build SPHINXBUILD = sphinx-build
PAPER = PAPER =
BUILDDIR = _build BUILDDIR = _build
+22
View File
@@ -0,0 +1,22 @@
{# Import the theme's layout. #}
{% extends "!layout.html" %}
{% block extrahead %}
{{ super() }}
<meta name="description" content="Simulation and Parameter Estimation in Geophysics">
<meta name="author" content="SimPEG Developers">
<meta name="keywords" content="python, geophysics, inversion, electromagnetics, magnetotellurics, magnetics, gravity, DC, flow inverse problems, open source, finite volume">
<script>
(function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){
(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),
m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)
})(window,document,'script','https://www.google-analytics.com/analytics.js','ga');
ga('create', 'UA-45185336-1', 'auto');
ga('send', 'pageview');
</script>
{% endblock %}
-19
View File
@@ -1,19 +0,0 @@
.. _api_FiniteVolume:
Finite Volume
*************
Any numerical implementation requires the discretization of continuous functions into discrete approximations. These approximations are typically organized in a mesh, which defines boundaries, locations, and connectivity. Of specific interest to geophysical simulations, we require that averaging, interpolation and differential operators be defined for any mesh. In SimPEG, we have implemented a staggered mimetic finite volume approach (`Hyman and Shashkov, 1999 <http://math.lanl.gov/~mac/papers/numerics/HS99B.pdf>`_). This approach requires the definitions of variables at either cell-centers, nodes, faces, or edges as seen in the figure below.
.. image:: images/finitevolrealestate.png
:width: 400 px
:alt: FiniteVolume
:align: center
.. toctree::
:maxdepth: 2
api_Mesh
api_DiffOps
api_InnerProducts
-36
View File
@@ -1,36 +0,0 @@
.. _api_MeshCode:
Tensor Mesh
===========
.. automodule:: SimPEG.Mesh.TensorMesh
:show-inheritance:
:members:
:undoc-members:
Cylindrical Mesh
================
.. automodule:: SimPEG.Mesh.CylMesh
:show-inheritance:
:members:
:undoc-members:
Tree Mesh
=========
.. autoclass:: SimPEG.Mesh.TreeMesh.TreeMesh
:show-inheritance:
:members:
:undoc-members:
Curvilinear Mesh
================
.. automodule:: SimPEG.Mesh.CurvilinearMesh
:show-inheritance:
:members:
:undoc-members:
+95
View File
@@ -0,0 +1,95 @@
# application: simpegdocs
# version: 1
runtime: python27
api_version: 1
threadsafe: yes
handlers:
# favicon
- url: /images/logo-block\.ico
static_files: /images/logo-block.ico
upload: /images/logo-block\.ico
# all css
- url: /(.*\.css)
mime_type: text/css
static_files: _build/html/\1
upload: _build/html/(.*\.css)
# webfonts
- url: /(.*\.(eot|svg|ttf|woff|woff2|otf))
static_files: _build/html/\1
upload: _build/html/(.*\.(eot|svg|ttf|woff|woff2|otf))
# javascript
- url: /(.*\.js)
mime_type: text/javascript
static_files: _build/html/\1
upload: _build/html/(.*\.js)
# plain text source
- url: /(.*\.txt)
mime_type: text/plain
static_files: _build/html/\1
upload: _build/html/(.*\.txt)
# images
- url: /_images/(.*\.(gif|png|jpg|ico))
static_files: _build/html/_images/\1
upload: _build/html/_images/(.*\.(gif|png|jpg|ico))
# redirect en/latest traffic
- url: /en/latest/(.*\.html)
script: simpegdocs.app
# raw html
- url: /(.*\.html)
mime_type: text/html
static_files: _build/html/\1
upload: _build/html/(.*\.html)
# serve index files
- url: /(.+)/
static_files: _build/html/\1/index.html
upload: _build/html/(.+)/index.html
- url: /(.+)
static_files: _build/html/\1/index.html
upload: _build/html/(.+)/index.html
- url: /
static_files: _build/html/index.html
upload: _build/html/index.html
- url: .*
script: simpegdocs.app
# Recommended file skipping declaration from the GAE tutorials
skip_files:
- ^(.*/)?app\.yaml
- ^(.*/)?app\.yml
- ^(.*/)?#.*#
- ^(.*/)?.*~
- ^(.*/)?.*\.py[co]
- ^(.*/)?.*/RCS/.*
- ^(.*/)?\..*
- ^(.*/)?tests$
- ^(.*/)?test$
- ^test/(.*/)?
- ^COPYING.LESSER
- ^README\..*
- \.gitignore
- ^\.git/.*
- \.*\.lint$
- ^(.*/)?.*\.doctree$
libraries:
- name: webapp2
version: "2.5.2"
- name: PIL
version: "1.1.7"
- name: numpy
version: "latest"
- name: jinja2
version: "latest"
+45 -6
View File
@@ -28,7 +28,7 @@ sys.path.append('../')
# Add any Sphinx extension module names here, as strings. They can be extensions # Add any Sphinx extension module names here, as strings. They can be extensions
# coming with Sphinx (named 'sphinx.ext.*') or your custom ones. # coming with Sphinx (named 'sphinx.ext.*') or your custom ones.
extensions = ['sphinx.ext.todo', 'sphinx.ext.mathjax', 'sphinx.ext.viewcode', 'sphinx.ext.autodoc', 'matplotlib.sphinxext.plot_directive'] extensions = ['sphinx.ext.todo', 'sphinx.ext.mathjax', 'sphinx.ext.viewcode', 'sphinx.ext.autodoc', 'sphinx.ext.intersphinx', 'matplotlib.sphinxext.plot_directive']
# Add any paths that contain templates here, relative to this directory. # Add any paths that contain templates here, relative to this directory.
templates_path = ['_templates'] templates_path = ['_templates']
@@ -44,16 +44,16 @@ master_doc = 'index'
# General information about the project. # General information about the project.
project = u'SimPEG' project = u'SimPEG'
copyright = u'2013, SimPEG Developers' copyright = u'2013 - 2016, SimPEG Developers'
# The version info for the project you're documenting, acts as replacement for # The version info for the project you're documenting, acts as replacement for
# |version| and |release|, also used in various other places throughout the # |version| and |release|, also used in various other places throughout the
# built documents. # built documents.
# #
# The short X.Y version. # The short X.Y version.
version = '0.1.10' version = '0.1.12'
# The full version, including alpha/beta/rc tags. # The full version, including alpha/beta/rc tags.
release = '0.1.10' release = '0.1.12'
# The language for content autogenerated by Sphinx. Refer to documentation # The language for content autogenerated by Sphinx. Refer to documentation
# for a list of supported languages. # for a list of supported languages.
@@ -124,12 +124,12 @@ except Exception, e:
# The name of an image file (within the static path) to use as favicon of the # The name of an image file (within the static path) to use as favicon of the
# docs. This file should be a Windows icon file (.ico) being 16x16 or 32x32 # docs. This file should be a Windows icon file (.ico) being 16x16 or 32x32
# pixels large. # pixels large.
#html_favicon = None html_favicon = './images/logo-block.ico'
# Add any paths that contain custom static files (such as style sheets) here, # Add any paths that contain custom static files (such as style sheets) here,
# relative to this directory. They are copied after the builtin static files, # relative to this directory. They are copied after the builtin static files,
# so a file named "default.css" will overwrite the builtin "default.css". # so a file named "default.css" will overwrite the builtin "default.css".
html_static_path = ['_static'] html_static_path = []
# If not '', a 'Last updated on:' timestamp is inserted at every page bottom, # If not '', a 'Last updated on:' timestamp is inserted at every page bottom,
# using the given strftime format. # using the given strftime format.
@@ -229,6 +229,12 @@ man_pages = [
# If true, show URL addresses after external links. # If true, show URL addresses after external links.
#man_show_urls = False #man_show_urls = False
# Intersphinx
intersphinx_mapping = {'python': ('http://docs.python.org/2', None),
'numpy': ('http://docs.scipy.org/doc/numpy/', None),
'scipy': ('http://docs.scipy.org/doc/scipy/reference/', None),
'matplotlib': ('http://matplotlib.sourceforge.net/', None)}
# -- Options for Texinfo output ------------------------------------------------ # -- Options for Texinfo output ------------------------------------------------
@@ -251,3 +257,36 @@ texinfo_documents = [
#texinfo_show_urls = 'footnote' #texinfo_show_urls = 'footnote'
autodoc_member_order = 'bysource' autodoc_member_order = 'bysource'
def supress_nonlocal_image_warn():
import sphinx.environment
sphinx.environment.BuildEnvironment.warn_node = _supress_nonlocal_image_warn
def _supress_nonlocal_image_warn(self, msg, node):
from docutils.utils import get_source_line
if not msg.startswith('nonlocal image URI found:'):
self._warnfunc(msg, '{0!s}:{1!s}'.format(*get_source_line(node)))
supress_nonlocal_image_warn()
nitpick_ignore = [
('py:class', 'IdentityMap'),
('py:class', 'BaseSurvey'),
('py:class', 'BaseSrc'),
('py:class', 'BaseRx'),
('py:class', 'Survey'),
('py:class', 'FieldsFDEM'),
('py:class', 'Fields3D_e'),
('py:class', 'Fields3D_b'),
('py:class', 'Fields3D_j'),
('py:class', 'Fields3D_h'),
('py:class', 'SurveyTDEM'),
('py:class', 'SrcTDEM'),
('py:class', 'EMPropMap'),
('py:class', 'Data'),
('py:class', 'SurveyDC'),
('py:class', 'BaseMTFields'),
('py:class', 'SolverLU'),
]
@@ -7,7 +7,7 @@ Examples
:maxdepth: 1 :maxdepth: 1
:glob: :glob:
examples/* ../examples/*
External Notebooks External Notebooks
@@ -0,0 +1,27 @@
.. _api_FiniteVolume:
Finite Volume
*************
Any numerical implementation requires the discretization of continuous
functions into discrete approximations. These approximations are typically
organized in a mesh, which defines boundaries, locations, and connectivity. Of
specific interest to geophysical simulations, we require that averaging,
interpolation and differential operators be defined for any mesh. In SimPEG,
we have implemented a staggered mimetic finite volume approach (`Hyman and
Shashkov, 1999 <http://math.lanl.gov/~mac/papers/numerics/HS99B.pdf>`_). This
approach requires the definitions of variables at either cell-centers, nodes,
faces, or edges as seen in the figure below.
.. image:: ../../images/finitevolrealestate.png
:width: 400 px
:alt: FiniteVolume
:align: center
.. toctree::
:maxdepth: 2
api_Mesh
api_DiffOps
api_InnerProducts
@@ -52,13 +52,15 @@ We can take the derivative of the PDE:
\nabla_m c(m, u) \partial m + \nabla_u c(m, u) \partial u = 0 \nabla_m c(m, u) \partial m + \nabla_u c(m, u) \partial u = 0
If the forward problem is invertible, then we can rearrange for \\(\\frac{\\partial u}{\\partial m}\\): If the forward problem is invertible, then we can rearrange for
\\(\\frac{\\partial u}{\\partial m}\\):
.. math:: .. math::
J = - P \left( \nabla_u c(m, u) \right)^{-1} \nabla_m c(m, u) J = - P \left( \nabla_u c(m, u) \right)^{-1} \nabla_m c(m, u)
This can often be computed given a vector (i.e. \\(J(v)\\)) rather than stored, as \\(J\\) is a large dense matrix. This can often be computed given a vector (i.e. \\(J(v)\\)) rather than
stored, as \\(J\\) is a large dense matrix.
@@ -67,13 +69,45 @@ The API
Problem Problem
------- -------
.. automodule:: SimPEG.Problem
.. autoclass:: SimPEG.Problem.BaseProblem
:members:
:undoc-members:
.. autoclass:: SimPEG.Problem.BaseTimeProblem
:members:
:undoc-members:
Fields
------
.. autoclass:: SimPEG.Fields.Fields
:members:
:undoc-members:
.. autoclass:: SimPEG.Fields.TimeFields
:members: :members:
:undoc-members: :undoc-members:
Survey Survey
------ ------
.. automodule:: SimPEG.Survey
.. autoclass:: SimPEG.Survey.BaseSurvey
:members: :members:
:undoc-members: :undoc-members:
.. autoclass:: SimPEG.Survey.BaseSrc
:members:
:undoc-members:
.. autoclass:: SimPEG.Survey.BaseRx
:members:
:undoc-members:
.. autoclass:: SimPEG.Survey.BaseTimeRx
:members:
:undoc-members:
.. autoclass:: SimPEG.Survey.Data
:members:
:undoc-members:
@@ -4,7 +4,10 @@
Inner Products Inner Products
************** **************
By using the weak formulation of many of the PDEs in geophysical applications, we can rapidly develop discretizations. Much of this work, however, needs a good understanding of how to approximate inner products on our discretized meshes. We will define the inner product as: By using the weak formulation of many of the PDEs in geophysical applications,
we can rapidly develop discretizations. Much of this work, however, needs a
good understanding of how to approximate inner products on our discretized
meshes. We will define the inner product as:
.. math:: .. math::
@@ -14,12 +17,15 @@ where a and b are either scalars or vectors.
.. note:: .. note::
The InnerProducts class is a base class providing inner product matrices for meshes and cannot run on its own. The InnerProducts class is a base class providing inner product matrices
for meshes and cannot run on its own.
Example problem for DC resistivity Example problem for DC resistivity
---------------------------------- ----------------------------------
We will start with the formulation of the Direct Current (DC) resistivity problem in geophysics.
We will start with the formulation of the Direct Current (DC) resistivity
problem in geophysics.
.. math:: .. math::
@@ -28,12 +34,13 @@ We will start with the formulation of the Direct Current (DC) resistivity proble
\nabla\cdot \vec{j} = q \nabla\cdot \vec{j} = q
In the following discretization, \\\( \\sigma \\\) and \\\( \\phi \\\) In the following discretization, :math:`\sigma` and :math:`\phi`
will be discretized on the cell-centers and the flux, \\\(\\vec{j}\\\), will be discretized on the cell-centers and the flux, :math:`\vec{j}`,
will be on the faces. We will use the weak formulation to discretize will be on the faces. We will use the weak formulation to discretize
the DC resistivity equation. the DC resistivity equation.
We can define in weak form by integrating with a general face function \\\(\\vec{f}\\\): We can define in weak form by integrating with a general face function
:math:`\vec{f}`:
.. math:: .. math::
@@ -61,9 +68,16 @@ We can then discretize for every cell:
.. note:: .. note::
We have discretized the dot product above, but remember that we do not really have a single vector \\\(\\mathbf{J}\\\), but approximations of \\\(\\vec{j}\\\) on each face of our cell. In 2D that means 2 approximations of \\\(\\mathbf{J}_x\\\) and 2 approximations of \\\(\\mathbf{J}_y\\\). In 3D we also have 2 approximations of \\\(\\mathbf{J}_z\\\). We have discretized the dot product above, but remember that we do not
really have a single vector :math:`\mathbf{J}`, but approximations of
:math:`\vec{j}` on each face of our cell. In 2D that means 2
approximations of :math:`\mathbf{J}_x` and 2 approximations of
:math:`\mathbf{J}_y`. In 3D we also have 2 approximations of
:math:`\mathbf{J}_z`.
Regardless of how we choose to approximate this dot product, we can represent this in vector form (again this is for every cell), and will generalize for the case of anisotropic (tensor) sigma. Regardless of how we choose to approximate this dot product, we can represent
this in vector form (again this is for every cell), and will generalize for
the case of anisotropic (tensor) sigma.
.. math:: .. math::
@@ -71,14 +85,17 @@ Regardless of how we choose to approximate this dot product, we can represent th
-\phi^{\top} v_{\text{cell}} \mathbf{D}_{\text{cell}} \mathbf{F}) -\phi^{\top} v_{\text{cell}} \mathbf{D}_{\text{cell}} \mathbf{F})
+ \text{BC} + \text{BC}
We multiply by square-root of volume on each side of the tensor conductivity to keep symmetry in the system. Here \\\(\\mathbf{J}_c\\\) is the Cartesian \\\(\\mathbf{J}\\\) (on the faces that we choose to use in our approximation) and must be calculated differently depending on the mesh: We multiply by square-root of volume on each side of the tensor conductivity
to keep symmetry in the system. Here :math:`\mathbf{J}_c` is the Cartesian
:math:`\mathbf{J}` (on the faces that we choose to use in our approximation)
and must be calculated differently depending on the mesh:
.. math:: .. math::
\mathbf{J}_c = \mathbf{Q}_{(i)}\mathbf{J}_\text{TENSOR} \\ \mathbf{J}_c = \mathbf{Q}_{(i)}\mathbf{J}_\text{TENSOR} \\
\mathbf{J}_c = \mathbf{N}_{(i)}^{-1}\mathbf{Q}_{(i)}\mathbf{J}_\text{Curv} \mathbf{J}_c = \mathbf{N}_{(i)}^{-1}\mathbf{Q}_{(i)}\mathbf{J}_\text{Curv}
Here the \\\(i\\\) index refers to where we choose to approximate this integral, as discussed in the note above. Here the :math:`i` index refers to where we choose to approximate this integral, as discussed in the note above.
We will approximate this integral by taking the fluxes clustered around every node of the cell, there are 8 combinations in 3D, and 4 in 2D. We will use a projection matrix \\\( \\mathbf{Q}_{(i)} \\\) to pick the appropriate fluxes. So, now that we have 8 approximations of this integral, we will just take the average. For the TensorMesh, this looks like: We will approximate this integral by taking the fluxes clustered around every node of the cell, there are 8 combinations in 3D, and 4 in 2D. We will use a projection matrix :math:`\mathbf{Q}_{(i)}` to pick the appropriate fluxes. So, now that we have 8 approximations of this integral, we will just take the average. For the TensorMesh, this looks like:
.. math:: .. math::
@@ -107,10 +124,12 @@ By defining the faceInnerProduct (8 combinations of fluxes in 3D, 4 in 2D, 2 in
\sum_{i=1}^{2^d} \sum_{i=1}^{2^d}
\mathbf{P}_{(i)}^{\top} \Sigma^{-1} \mathbf{P}_{(i)} \mathbf{P}_{(i)}^{\top} \Sigma^{-1} \mathbf{P}_{(i)}
Where \\\(d\\\) is the dimension of the mesh. Where :math:`d` is the dimension of the mesh.
The \\\( \\mathbf{M}^f \\\) is returned when given the input of \\\( \\Sigma^{-1} \\\). The :math:`\mathbf{M}^f` is returned when given the input of :math:`\Sigma^{-1}`.
Here each \\( \\mathbf{P} \\in \\mathbb{R}^{(d*nC, nF)} \\\) is a combination of the projection, volume, and any normalization to Cartesian coordinates (where the dot product is well defined): Here each :math:`\mathbf{P} ~ \in ~ \mathbb{R}^{(d*nC, nF)}` is a combination
of the projection, volume, and any normalization to Cartesian coordinates
(where the dot product is well defined):
.. math:: .. math::
@@ -129,7 +148,10 @@ If ``returnP=True`` is requested in any of these methods the projection matrices
# In 1D # In 1D
P = [P0, P1] P = [P0, P1]
The derivation for ``edgeInnerProducts`` is exactly the same, however, when we approximate the integral using the fields around each node, the projection matrices look a bit different because we have 12 edges in 3D instead of just 6 faces. The interface to the code is exactly the same. The derivation for ``edgeInnerProducts`` is exactly the same, however, when we
approximate the integral using the fields around each node, the projection
matrices look a bit different because we have 12 edges in 3D instead of just 6
faces. The interface to the code is exactly the same.
Defining Tensor Properties Defining Tensor Properties
@@ -137,7 +159,8 @@ Defining Tensor Properties
**For 3D:** **For 3D:**
Depending on the number of columns (either 1, 3, or 6) of mu, the material property is interpreted as follows: Depending on the number of columns (either 1, 3, or 6) of mu, the material
property is interpreted as follows:
.. math:: .. math::
@@ -188,13 +211,16 @@ Which is nice and easy to invert if necessary, however, in the fully anisotropic
Taking Derivatives Taking Derivatives
------------------ ------------------
We will take the derivative of the fully anisotropic tensor for a 3D mesh, the other cases are easier and will not be discussed here. Let us start with one part of the sum which makes up \\\(\\mathbf{M}^f_\\Sigma\\\) and take the derivative when this is multiplied by some vector \\\(\\mathbf{v}\\\): We will take the derivative of the fully anisotropic tensor for a 3D mesh, the
other cases are easier and will not be discussed here. Let us start with one
part of the sum which makes up :math:`\mathbf{M}^f_\Sigma` and take the
derivative when this is multiplied by some vector :math:`\mathbf{v}`:
.. math:: .. math::
\mathbf{P}^\top \boldsymbol{\Sigma} \mathbf{Pv} \mathbf{P}^\top \boldsymbol{\Sigma} \mathbf{Pv}
Here we will let \\\( \\mathbf{Pv} = \\mathbf{y} \\\) and \\\(\\mathbf{y}\\\) will have the form: Here we will let :math:`\mathbf{Pv} = \mathbf{y}` and :math:`\mathbf{y}` will have the form:
.. math:: .. math::
@@ -233,7 +259,9 @@ Here we will let \\\( \\mathbf{Pv} = \\mathbf{y} \\\) and \\\(\\mathbf{y}\\\) wi
\end{matrix} \end{matrix}
\right] \right]
Now it is easy to take the derivative with respect to any one of the parameters, for example, \\\(\\frac{\\partial}{\\partial\\boldsymbol{\\sigma}_1}\\\) Now it is easy to take the derivative with respect to any one of the
parameters, for example,
:math:`\frac{\partial}{\partial\boldsymbol{\sigma}_1}`
.. math:: .. math::
\frac{\partial}{\partial \boldsymbol{\sigma}_1}\left(\mathbf{P}^\top\Sigma\mathbf{y}\right) \frac{\partial}{\partial \boldsymbol{\sigma}_1}\left(\mathbf{P}^\top\Sigma\mathbf{y}\right)
@@ -247,7 +275,8 @@ Now it is easy to take the derivative with respect to any one of the parameters,
\end{matrix} \end{matrix}
\right] \right]
Whereas \\\(\\frac{\\partial}{\\partial\\boldsymbol{\\sigma}_4}\\\), for example, is: Whereas :math:`\frac{\partial}{\partial\boldsymbol{\sigma}_4}`, for
example, is:
.. math:: .. math::
\frac{\partial}{\partial \boldsymbol{\sigma}_4}\left(\mathbf{P}^\top\Sigma\mathbf{y}\right) \frac{\partial}{\partial \boldsymbol{\sigma}_4}\left(\mathbf{P}^\top\Sigma\mathbf{y}\right)
@@ -261,11 +290,12 @@ Whereas \\\(\\frac{\\partial}{\\partial\\boldsymbol{\\sigma}_4}\\\), for example
\end{matrix} \end{matrix}
\right] \right]
These are computed for each of the 8 projections, horizontally concatenated, and returned. These are computed for each of the 8 projections, horizontally concatenated,
and returned.
The API The API
------- -------
.. automodule:: SimPEG.Mesh.InnerProducts .. autoclass:: SimPEG.Mesh.InnerProducts.InnerProducts
:members: :members:
:undoc-members: :undoc-members:
@@ -3,7 +3,7 @@
InvProblem InvProblem
********** **********
.. automodule:: SimPEG.InvProblem .. autoclass:: SimPEG.InvProblem.BaseInvProblem
:show-inheritance: :show-inheritance:
:members: :members:
:undoc-members: :undoc-members:
@@ -12,7 +12,7 @@ InvProblem
Inversion Inversion
********* *********
.. automodule:: SimPEG.Inversion .. autoclass:: SimPEG.Inversion.BaseInversion
:show-inheritance: :show-inheritance:
:members: :members:
:undoc-members: :undoc-members:
@@ -27,7 +27,8 @@ back to conductivity. This is a relatively trivial example (we are just taking
the exponential!) but by defining maps we can start to combine and manipulate the exponential!) but by defining maps we can start to combine and manipulate
exactly what we think about as our model, \\\(m\\\). In code, this looks like exactly what we think about as our model, \\\(m\\\). In code, this looks like
:: .. code-block:: python
:linenos:
M = Mesh.TensorMesh([100]) # Create a mesh M = Mesh.TensorMesh([100]) # Create a mesh
expMap = Maps.ExpMap(M) # Create a mapping expMap = Maps.ExpMap(M) # Create a mapping
@@ -46,14 +47,15 @@ We will use an example where we want a 1D layered earth as
our model, but we want to map this to a 2D discretization to do our forward our model, but we want to map this to a 2D discretization to do our forward
modeling. We will also assume that we are working in log conductivity still, modeling. We will also assume that we are working in log conductivity still,
so after the transformation we want to map to conductivity space. so after the transformation we want to map to conductivity space.
To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.Vertical1DMap`), To do this we will introduce the vertical 1D map (:class:`SimPEG.Maps.SurjectVertical1D`),
which does the first part of what we just described. The second part will be which does the first part of what we just described. The second part will be
done by the :class:`SimPEG.Maps.ExpMap` described above. done by the :class:`SimPEG.Maps.ExpMap` described above.
:: .. code-block:: python
:linenos:
M = Mesh.TensorMesh([7,5]) M = Mesh.TensorMesh([7,5])
v1dMap = Maps.Vertical1DMap(M) v1dMap = Maps.SurjectVertical1D(M)
expMap = Maps.ExpMap(M) expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters! m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
@@ -61,26 +63,8 @@ done by the :class:`SimPEG.Maps.ExpMap` described above.
.. plot:: .. plot::
from SimPEG import * from SimPEG import Examples
import matplotlib.pyplot as plt Examples.Maps_ComboMaps.run()
M = Mesh.TensorMesh([7,5])
v1dMap = Maps.Vertical1DMap(M)
expMap = Maps.ExpMap(M)
myMap = expMap * v1dMap
m = np.r_[0.2,1,0.1,2,2.9] # only 5 model parameters!
sig = myMap * m
figs, axs = plt.subplots(1,2)
axs[0].plot(m, M.vectorCCy, 'b-o')
axs[0].set_title('Model')
axs[0].set_ylabel('Depth, y')
axs[0].set_xlabel('Value, $m_i$')
axs[0].set_xlim(0,3)
axs[0].set_ylim(0,1)
clbar = plt.colorbar(M.plotImage(sig,ax=axs[1],grid=True,gridOpts=dict(color='grey'))[0])
axs[1].set_title('Physical Property')
axs[1].set_ylabel('Depth, y')
clbar.set_label('$\sigma = \exp(\mathbf{P}m)$')
plt.tight_layout()
If you noticed, it was pretty easy to combine maps. What is even cooler is If you noticed, it was pretty easy to combine maps. What is even cooler is
that the derivatives also are made for you (if everything goes right). that the derivatives also are made for you (if everything goes right).
@@ -122,6 +106,8 @@ When these are used in the inverse problem, this is extremely important!!
The API The API
======= =======
The :code:`IdentityMap` is the base class for all mappings, and it does absolutely nothing.
.. autoclass:: SimPEG.Maps.IdentityMap .. autoclass:: SimPEG.Maps.IdentityMap
:members: :members:
:undoc-members: :undoc-members:
@@ -130,7 +116,6 @@ The API
Common Maps Common Maps
=========== ===========
Exponential Map Exponential Map
--------------- ---------------
@@ -148,7 +133,7 @@ lives (i.e. it varies logarithmically).
Vertical 1D Map Vertical 1D Map
--------------- ---------------
.. autoclass:: SimPEG.Maps.Vertical1DMap .. autoclass:: SimPEG.Maps.SurjectVertical1D
:members: :members:
:undoc-members: :undoc-members:
@@ -164,31 +149,10 @@ Map 2D Cross-Section to 3D Model
Mesh to Mesh Map Mesh to Mesh Map
---------------- ----------------
.. plot:: .. plot::
from SimPEG import * from SimPEG import Examples
import matplotlib.pyplot as plt Examples.Maps_Mesh2Mesh.run()
M = Mesh.TensorMesh([100,100])
h1 = Utils.meshTensor([(6,7,-1.5),(6,10),(6,7,1.5)])
h1 = h1/h1.sum()
M2 = Mesh.TensorMesh([h1,h1])
V = Utils.ModelBuilder.randomModel(M.vnC, seed=79, its=50)
v = Utils.mkvc(V)
modh = Maps.Mesh2Mesh([M,M2])
modH = Maps.Mesh2Mesh([M2,M])
H = modH * v
h = modh * H
ax = plt.subplot(131)
M.plotImage(v, ax=ax)
ax.set_title('Fine Mesh (Original)')
ax = plt.subplot(132)
M2.plotImage(H,clim=[0,1],ax=ax)
ax.set_title('Course Mesh')
ax = plt.subplot(133)
M.plotImage(h,clim=[0,1],ax=ax)
ax.set_title('Fine Mesh (Interpolated)')
plt.show()
.. autoclass:: SimPEG.Maps.Mesh2Mesh .. autoclass:: SimPEG.Maps.Mesh2Mesh
@@ -196,8 +160,8 @@ Mesh to Mesh Map
:undoc-members: :undoc-members:
Some Extras Under the Hood
=========== ==============
Combo Map Combo Map
--------- ---------
@@ -188,6 +188,6 @@ other types of meshes in this SimPEG framework.
The API The API
======= =======
.. automodule:: SimPEG.Mesh.BaseMesh .. autoclass:: SimPEG.Mesh.BaseMesh.BaseMesh
:members: :members:
:undoc-members: :undoc-members:
+68
View File
@@ -0,0 +1,68 @@
.. _api_MeshCode:
Tensor Mesh
===========
.. autoclass:: SimPEG.Mesh.TensorMesh
:members:
:undoc-members:
:show-inheritance:
Cylindrical Mesh
================
.. autoclass:: SimPEG.Mesh.CylMesh
:members:
:undoc-members:
:show-inheritance:
Tree Mesh
=========
.. autoclass:: SimPEG.Mesh.TreeMesh
:members:
:undoc-members:
:show-inheritance:
Curvilinear Mesh
================
.. autoclass:: SimPEG.Mesh.CurvilinearMesh
:members:
:undoc-members:
:show-inheritance:
Base Rectangular Mesh
=====================
.. autoclass:: SimPEG.Mesh.BaseMesh.BaseRectangularMesh
:members:
:undoc-members:
:show-inheritance:
Base Tensor Mesh
================
.. autoclass:: SimPEG.Mesh.TensorMesh.BaseTensorMesh
:members:
:undoc-members:
:show-inheritance:
Mesh IO
=======
.. automodule:: SimPEG.Mesh.MeshIO
:members:
:undoc-members:
:show-inheritance:
Mesh Viewing
============
.. automodule:: SimPEG.Mesh.View
:members:
:undoc-members:
:show-inheritance:
+29
View File
@@ -0,0 +1,29 @@
SimPEG PropMaps
***************
The API
=======
Property
--------
.. autoclass:: SimPEG.PropMaps.Property
:members:
:undoc-members:
PropMap
-------
.. autoclass:: SimPEG.PropMaps.PropMap
:members:
:undoc-members:
PropModel
---------
.. autoclass:: SimPEG.PropMaps.PropModel
:members:
:undoc-members:
@@ -91,10 +91,21 @@ The API
:members: :members:
:undoc-members: :undoc-members:
.. autoclass:: SimPEG.Regularization.Simple
:show-inheritance:
:members:
.. autoclass:: SimPEG.Regularization.Tikhonov .. autoclass:: SimPEG.Regularization.Tikhonov
:show-inheritance: :show-inheritance:
:members: :members:
.. autoclass:: SimPEG.Regularization.Sparse
:show-inheritance:
:members:
.. autoclass:: SimPEG.Regularization.RegularizationMesh
:show-inheritance:
:members:
@@ -46,6 +46,8 @@ The API
======= =======
.. autofunction:: SimPEG.Utils.SolverUtils.SolverWrapD .. autofunction:: SimPEG.Utils.SolverUtils.SolverWrapD
:noindex:
.. autofunction:: SimPEG.Utils.SolverUtils.SolverWrapI .. autofunction:: SimPEG.Utils.SolverUtils.SolverWrapI
:noindex:
@@ -6,5 +6,6 @@ Utilities
api_Solver api_Solver
api_Maps api_Maps
api_PropMaps
api_Utils api_Utils
api_Tests api_Tests
@@ -21,7 +21,7 @@ Solver Utilities
:undoc-members: :undoc-members:
Curv Utilities Curv Utilities
============= ==============
.. automodule:: SimPEG.Utils.curvutils .. automodule:: SimPEG.Utils.curvutils
:members: :members:
@@ -51,7 +51,9 @@ Interpolation Utilities
Counter Utilities Counter Utilities
================= =================
:: .. code-block:: python
:linenos:
class MyClass(object): class MyClass(object):
def __init__(self, url): def __init__(self, url):
self.counter = Counter() self.counter = Counter()
@@ -69,7 +71,9 @@ Counter Utilities
for i in range(300): c.MySecondMethod() for i in range(300): c.MySecondMethod()
c.counter.summary() c.counter.summary()
::
.. code-block:: text
:linenos:
Counters: Counters:
MyClass.MyMethod : 100 MyClass.MyMethod : 100
@@ -77,6 +81,8 @@ Counter Utilities
Times: mean sum Times: mean sum
MyClass.MySecondMethod : 1.70e-06, 5.10e-04, 300x MyClass.MySecondMethod : 1.70e-06, 5.10e-04, 300x
The API The API
------- -------
@@ -35,7 +35,7 @@ The Big Picture
Defining a well-posed inverse problem and solving it is a complex task that requires many components that must interact. It is helpful Defining a well-posed inverse problem and solving it is a complex task that requires many components that must interact. It is helpful
to view this task as a workflow in which various elements are explicitly identified and integrated. The figure below outlines the inversion components that consists of inputs, implementation, and evaluation. The inputs are composed of the geophysical data, the equations which are a mathematical description of the governing physics, and prior knowledge or assumptions about the setting. The implementation consists of two broad categories: the forward simulation and the inversion. The **forward simulation** is the means by which we solve the governing equations given a model and the **inversion components** evaluate and update this model. We are considering a gradient based approach, which updates the model through an optimization routine. The output of this implementation is a model, which, prior to interpretation, must be evaluated. This requires considering, and often re-assessing, the choices and assumptions made in both the input and implementation stages. to view this task as a workflow in which various elements are explicitly identified and integrated. The figure below outlines the inversion components that consists of inputs, implementation, and evaluation. The inputs are composed of the geophysical data, the equations which are a mathematical description of the governing physics, and prior knowledge or assumptions about the setting. The implementation consists of two broad categories: the forward simulation and the inversion. The **forward simulation** is the means by which we solve the governing equations given a model and the **inversion components** evaluate and update this model. We are considering a gradient based approach, which updates the model through an optimization routine. The output of this implementation is a model, which, prior to interpretation, must be evaluated. This requires considering, and often re-assessing, the choices and assumptions made in both the input and implementation stages.
.. image:: InversionWorkflow-PreSimPEG.png .. image:: ../../images/InversionWorkflow-PreSimPEG.png
:width: 400 px :width: 400 px
:alt: Components :alt: Components
:align: center :align: center
@@ -46,24 +46,24 @@ A Comprehensive Framework
There are an overwhelming amount of choices to be made as one works through the forward modeling and inversion process (see figure above). As a result, software implementations of this workflow often become complex and highly interdependent, making it difficult to interact with and to ask other scientists to pick up and change. Our approach to handling this complexity is to propose a framework, (see below), that compartmentalizes the implementation of inversions into various units. We present it in this specific modular style, as each unit contains a targeted subset of choices crucial to the inversion process. There are an overwhelming amount of choices to be made as one works through the forward modeling and inversion process (see figure above). As a result, software implementations of this workflow often become complex and highly interdependent, making it difficult to interact with and to ask other scientists to pick up and change. Our approach to handling this complexity is to propose a framework, (see below), that compartmentalizes the implementation of inversions into various units. We present it in this specific modular style, as each unit contains a targeted subset of choices crucial to the inversion process.
.. image:: InversionWorkflow.png .. image:: ../../images/InversionWorkflow.png
:width: 400 px :width: 400 px
:alt: Framework :alt: Framework
:align: center :align: center
The process of obtaining an acceptable model from an inversion generally requires the geophysicist to perform several iterations of the inversion workflow, rethinking and redesigning each piece of the framework to ensure it is appropriate in the current context. Inversions are experimental and empirical by nature and our software package is designed to facilitate this iterative process. To accomplish this, we have divided the inversion methodology into eight major components (See figure above). The (:class:`SimPEG.Mesh.BaseMesh`) class handles the discretization of the earth and also provides numerical operators. The forward simulation is split into two classes, the (:class:`SimPEG.Survey.BaseSurvey`) and the (:class:`SimPEG.Problem.BaseProblem`). The (:class:`SimPEG.Survey.BaseSurvey`) class handles the geometry of a geophysical problem as well as sources. The (:class:`SimPEG.Problem.BaseProblem`) class handles the simulation of the physics for the geophysical problem of interest. Although created independently, these two classes must be paired to form all of the components necessary for a geophysical forward simulation and calculation of the sensitivity. The (:class:`SimPEG.Problem.BaseProblem`) creates geophysical fields given a source from the (:class:`SimPEG.Survey.BaseSurvey`). The (:class:`SimPEG.Survey.BaseSurvey`) interpolates these fields to the receiver locations and converts them to the appropriate data type, for example, by selecting only the measured components of the field. Each of these operations may have associated derivatives with respect to the model and the computed field; these are included in the calculation of the sensitivity. For the inversion, a (:class:`SimPEG.DataMisfit.BaseDataMisfit`) is chosen to capture the goodness of fit of the predicted data and a (:class:`SimPEG.Regularization.BaseRegularization`) is chosen to handle the non-uniqueness. These inversion elements and an Optimization routine are combined into an inverse problem class (:class:`SimPEG.InvProblem.BaseInvProblem`). (:class:`SimPEG.InvProblem.BaseInvProblem`) is the mathematical statement that will be numerically solved by running an Inversion. The (:class:`SimPEG.Inversion.BaseInversion`) class handles organization and dispatch of directives between all of the various pieces of the framework. The process of obtaining an acceptable model from an inversion generally requires the geophysicist to perform several iterations of the inversion workflow, rethinking and redesigning each piece of the framework to ensure it is appropriate in the current context. Inversions are experimental and empirical by nature and our software package is designed to facilitate this iterative process. To accomplish this, we have divided the inversion methodology into eight major components (See figure above). The :class:`SimPEG.Mesh.BaseMesh.BaseMesh` class handles the discretization of the earth and also provides numerical operators. The forward simulation is split into two classes, the :class:`SimPEG.Survey.BaseSurvey` and the :class:`SimPEG.Problem.BaseProblem`. The :class:`SimPEG.Survey.BaseSurvey` class handles the geometry of a geophysical problem as well as sources. The :class:`SimPEG.Problem.BaseProblem` class handles the simulation of the physics for the geophysical problem of interest. Although created independently, these two classes must be paired to form all of the components necessary for a geophysical forward simulation and calculation of the sensitivity. The :class:`SimPEG.Problem.BaseProblem` creates geophysical fields given a source from the :class:`SimPEG.Survey.BaseSurvey`. The :class:`SimPEG.Survey.BaseSurvey` interpolates these fields to the receiver locations and converts them to the appropriate data type, for example, by selecting only the measured components of the field. Each of these operations may have associated derivatives with respect to the model and the computed field; these are included in the calculation of the sensitivity. For the inversion, a :class:`SimPEG.DataMisfit.BaseDataMisfit` is chosen to capture the goodness of fit of the predicted data and a :class:`SimPEG.Regularization.BaseRegularization` is chosen to handle the non-uniqueness. These inversion elements and an Optimization routine are combined into an inverse problem class :class:`SimPEG.InvProblem.BaseInvProblem`. :class:`SimPEG.InvProblem.BaseInvProblem` is the mathematical statement that will be numerically solved by running an Inversion. The :class:`SimPEG.Inversion.BaseInversion` class handles organization and dispatch of directives between all of the various pieces of the framework.
The arrows in the figure above indicate what each class takes as a primary argument. For example, both the (:class:`SimPEG.Problem.BaseProblem`) and (:class:`SimPEG.Regularization.BaseRegularization`) classes take a (:class:`SimPEG.Mesh.BaseMesh`) class as an argument. The diagram does not show class inheritance, as each of the base classes outlined have many subtypes that can be interchanged. The (:class:`SimPEG.Mesh.BaseMesh`) class, for example, could be a regular Cartesian mesh (:class:`SimPEG.Mesh.TensorMesh`) or a cylindrical coordinate mesh (:class:`SimPEG.Mesh.CylMesh`), which have many properties in common. These common features, such as both meshes being created from tensor products, can be exploited through inheritance of base classes, and differences can be expressed through subtype polymorphism. Please look at the documentation here for more in-depth information. The arrows in the figure above indicate what each class takes as a primary argument. For example, both the :class:`SimPEG.Problem.BaseProblem` and :class:`SimPEG.Regularization.BaseRegularization` classes take a :class:`SimPEG.Mesh.BaseMesh.BaseMesh` class as an argument. The diagram does not show class inheritance, as each of the base classes outlined have many subtypes that can be interchanged. The :class:`SimPEG.Mesh.BaseMesh.BaseMesh` class, for example, could be a regular Cartesian mesh :class:`SimPEG.Mesh.TensorMesh` or a cylindrical coordinate mesh :class:`SimPEG.Mesh.CylMesh`, which have many properties in common. These common features, such as both meshes being created from tensor products, can be exploited through inheritance of base classes, and differences can be expressed through subtype polymorphism. Please look at the documentation here for more in-depth information.
.. include:: ../CITATION.rst .. include:: ../../../CITATION.rst
Authors Authors
------- -------
.. include:: ../AUTHORS.rst .. include:: ../../../AUTHORS.rst
License License
------- -------
.. include:: ../LICENSE .. include:: ../../../LICENSE
@@ -66,7 +66,7 @@ Numpy and Matlab
Lessons in Python Lessons in Python
----------------- -----------------
* `Software Carpentry <http://software-carpentry.org/v4/python/index.html>`_ * `Software Carpentry <http://swcarpentry.github.io/python-novice-inflammation/>`_
* `Introduction to NumPy and Matplotlib <http://www.youtube.com/watch?v=3Fp1zn5ao2M>`_ * `Introduction to NumPy and Matplotlib <http://www.youtube.com/watch?v=3Fp1zn5ao2M>`_
Editing Python Editing Python
+27 -11
View File
@@ -1,5 +1,3 @@
.. _api_DC:
.. math:: .. math::
\renewcommand{\div}{\nabla\cdot\,} \renewcommand{\div}{\nabla\cdot\,}
@@ -38,10 +36,27 @@
\renewcommand {\u} { {\vec u} } \renewcommand {\u} { {\vec u} }
\newcommand{\I}{\vec{I}} \newcommand{\I}{\vec{I}}
DC resistivity survey
*********************
Electrical resistivity of subsurface materials is measured by causing an electrical current to flow in the earth between one pair of electrodes while the voltage across a second pair of electrodes is measured. The result is an "apparent" resistivity which is a value representing the weighted average resistivity over a volume of the earth. Variations in this measurement are caused by variations in the soil, rock, and pore fluid electrical resistivity. Surveys require contact with the ground, so they can be labour intensive. Results are sometimes interpreted directly, but more commonly, 1D, 2D or 3D models are estimated using inversion procedures (`GPG <http://www.eos.ubc.ca/courses/eosc350/content/>`_). Direct Current Resistivity
**************************
`SimPEG.DCIP` uses SimPEG as the framework for the forward and inverse
direct current (DC) resistivity and induced polarization (IP) geophysical problems.
DC resistivity survey
=====================
Electrical resistivity of subsurface materials is measured by causing an
electrical current to flow in the earth between one pair of electrodes while
the voltage across a second pair of electrodes is measured. The result is an
"apparent" resistivity which is a value representing the weighted average
resistivity over a volume of the earth. Variations in this measurement are
caused by variations in the soil, rock, and pore fluid electrical resistivity.
Surveys require contact with the ground, so they can be labour intensive.
Results are sometimes interpreted directly, but more commonly, 1D, 2D or 3D
models are estimated using inversion procedures (`GPG
<http://gpg.geosci.xyz>`_).
Background Background
@@ -55,7 +70,7 @@ As direct current (DC) implies, in DC resistivity survey, we assume steady-state
\curl \e = 0 \curl \e = 0
Then by taking \\(\\curl\\) for the first equation, we have Then by taking \\(\\div\\) of the first equation, we have
.. math:: .. math::
@@ -137,13 +152,14 @@ Comparing to the analytic function:
.. plot:: .. plot::
import simpegDC as DC from SimPEG import Examples
DC.Examples.Verification.run(plotIt=True) Examples.DC_Analytic_Dipole.run(plotIt=True)
API
===
.. automodule:: simpegDC.BaseDC API for DC codes
================
.. automodule:: SimPEG.DCIP.BaseDC
:show-inheritance: :show-inheritance:
:members: :members:
:undoc-members: :undoc-members:
@@ -9,17 +9,28 @@
Frequency Domain Electromagnetics Frequency Domain Electromagnetics
********************************* *********************************
Electromagnetic (EM) geophysical methods are used in a variety of applications from resource exploration, including for hydrocarbons and minerals, to environmental applications, such as groundwater monitoring. The primary physical property of interest in EM is electrical conductivity, which describes the ease with which electric current flows through a material. Electromagnetic (EM) geophysical methods are used in a variety of applications
from resource exploration, including for hydrocarbons and minerals, to
environmental applications, such as groundwater monitoring. The primary
physical property of interest in EM is electrical conductivity, which
describes the ease with which electric current flows through a material.
Background Background
========== ==========
Electromagnetic phenomena are governed by Maxwell's equations. They describe the behavior of EM fields and fluxes. Electromagnetic theory for geophysical applications by Ward and Hohmann (1988) is a highly recommended resource on this topic. Electromagnetic phenomena are governed by Maxwell's equations. They describe
the behavior of EM fields and fluxes. Electromagnetic theory for geophysical
applications by Ward and Hohmann (1988) is a highly recommended resource on
this topic.
Fourier Transform Convention Fourier Transform Convention
---------------------------- ----------------------------
In order to examine Maxwell's equations in the frequency domain, we must first define our choice of harmonic time-dependence by choosing a Fourier transform convention. We use the :math:`e^{i \omega t}` convention, so we define our Fourier Transform pair as
In order to examine Maxwell's equations in the frequency domain, we must first
define our choice of harmonic time-dependence by choosing a Fourier transform
convention. We use the :math:`e^{i \omega t}` convention, so we define our
Fourier Transform pair as
.. math :: .. math ::
F(\omega) = \int_{-\infty}^{\infty} f(t) e^{- i \omega t} dt \\ F(\omega) = \int_{-\infty}^{\infty} f(t) e^{- i \omega t} dt \\
@@ -31,6 +42,7 @@ where :math:`\omega` is angular frequency, :math:`t` is time, :math:`F(\omega)`
Maxwell's Equations Maxwell's Equations
=================== ===================
In the frequency domain, Maxwell's equations are given by In the frequency domain, Maxwell's equations are given by
.. math :: .. math ::
@@ -104,19 +116,20 @@ The H-J formulation is in terms of the current density and the magnetic field:
Discretizing Discretizing
------------ ------------
For both formulations, we use a finite volume discretization For both formulations, we use a finite volume discretization
and discretize fields on cell edges, fluxes on cell faces and and discretize fields on cell edges, fluxes on cell faces and
physical properties in cell centers. This is particularly physical properties in cell centers. This is particularly
important when using symmetry to reduce the dimensionality of a problem important when using symmetry to reduce the dimensionality of a problem
(for instance on a 2D CylMesh, there are :math:`r`, :math:`z` faces and :math:`\theta` edges) (for instance on a 2D CylMesh, there are :math:`r`, :math:`z` faces and :math:`\theta` edges)
.. figure:: ../images/finitevolrealestate.png .. figure:: ../../images/finitevolrealestate.png
:align: center :align: center
:scale: 60 % :scale: 60 %
For the two formulations, the discretization of the physical properties, fields and fluxes are summarized below. For the two formulations, the discretization of the physical properties, fields and fluxes are summarized below.
.. figure:: ../images/ebjhdiscretizations.png .. figure:: ../../images/ebjhdiscretizations.png
:align: center :align: center
:scale: 60 % :scale: 60 %
@@ -150,7 +163,7 @@ API
FDEM Problem FDEM Problem
------------ ------------
.. automodule:: SimPEG.EM.FDEM.FDEM .. automodule:: SimPEG.EM.FDEM.ProblemFDEM
:show-inheritance: :show-inheritance:
:members: :members:
:undoc-members: :undoc-members:
@@ -169,6 +182,11 @@ FDEM Survey
:members: :members:
:undoc-members: :undoc-members:
.. automodule:: SimPEG.EM.FDEM.RxFDEM
:show-inheritance:
:members:
:undoc-members:
FDEM Fields FDEM Fields
----------- -----------
@@ -359,7 +359,7 @@ TDEM - B formulation
Field Storage Field Storage
============= =============
.. autoclass:: SimPEG.EM.TDEM.SurveyTDEM.FieldsTDEM .. autoclass:: SimPEG.EM.TDEM.BaseTDEM.FieldsTDEM
:show-inheritance: :show-inheritance:
:members: :members:
:undoc-members: :undoc-members:
+33
View File
@@ -0,0 +1,33 @@
Overview of Electromagnetics in SimPEG
**************************************
The API
=======
Physical Properties
-------------------
.. autoclass:: SimPEG.EM.Base.EMPropMap
:show-inheritance:
:members:
:undoc-members:
Problem
-------
.. autoclass:: SimPEG.EM.Base.BaseEMProblem
:show-inheritance:
:members:
:undoc-members:
Survey
------
.. autoclass:: SimPEG.EM.Base.BaseEMSurvey
:show-inheritance:
:members:
:undoc-members:
@@ -3,22 +3,23 @@ Electromagnetics
================ ================
`SimPEG.EM` uses SimPEG as the framework for the forward and inverse `SimPEG.EM` uses SimPEG as the framework for the forward and inverse
electromagnetics geophysical problems. electromagnetics geophysical problems.
To solve for predicted data, we follow the framework shown below. The model is To solve for predicted data, we follow the framework shown below. The model is
what we invert for. This is mapped to a physical property on the simulation what we invert for. This is mapped to a physical property on the simulation
mesh. A source which is used to excite the system is specified. Having a model mesh. A source which is used to excite the system is specified. Having a model
and a source, we can solve Maxwell's equations for fields. We sample these and a source, we can solve Maxwell's equations for fields. We sample these
fields with recievers to give us predicted data. fields with recievers to give us predicted data.
.. image:: ../images/simpegEM_noMath.png .. image:: ../../images/simpegEM_noMath.png
:scale: 50% :scale: 50%
.. toctree:: .. toctree::
:maxdepth: 2 :maxdepth: 2
api_basic
api_FDEM api_FDEM
api_TDEM api_TDEM
api_Utils api_Utils
@@ -16,6 +16,6 @@ DC Analytic Dipole
from SimPEG import Examples from SimPEG import Examples
Examples.DC_Analytic_Dipole.run() Examples.DC_Analytic_Dipole.run()
.. literalinclude:: ../../SimPEG/Examples/DC_Analytic_Dipole.py .. literalinclude:: ../../../SimPEG/Examples/DC_Analytic_Dipole.py
:language: python :language: python
:linenos: :linenos:
@@ -31,6 +31,6 @@ Created by @fourndo
from SimPEG import Examples from SimPEG import Examples
Examples.DC_Forward_PseudoSection.run() Examples.DC_Forward_PseudoSection.run()
.. literalinclude:: ../../SimPEG/Examples/DC_Forward_PseudoSection.py .. literalinclude:: ../../../SimPEG/Examples/DC_Forward_PseudoSection.py
:language: python :language: python
:linenos: :linenos:
@@ -21,6 +21,6 @@ Here we will create and run a FDEM 1D inversion.
from SimPEG import Examples from SimPEG import Examples
Examples.EM_FDEM_1D_Inversion.run() Examples.EM_FDEM_1D_Inversion.run()
.. literalinclude:: ../../SimPEG/Examples/EM_FDEM_1D_Inversion.py .. literalinclude:: ../../../SimPEG/Examples/EM_FDEM_1D_Inversion.py
:language: python :language: python
:linenos: :linenos:
@@ -21,6 +21,6 @@ Here we plot the magnetic flux density from a harmonic dipole in a wholespace.
from SimPEG import Examples from SimPEG import Examples
Examples.EM_FDEM_Analytic_MagDipoleWholespace.run() Examples.EM_FDEM_Analytic_MagDipoleWholespace.run()
.. literalinclude:: ../../SimPEG/Examples/EM_FDEM_Analytic_MagDipoleWholespace.py .. literalinclude:: ../../../SimPEG/Examples/EM_FDEM_Analytic_MagDipoleWholespace.py
:language: python :language: python
:linenos: :linenos:

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