Initial Commit.

This commit is contained in:
rowanc1
2014-05-13 09:25:25 -07:00
commit d22e9eeb93
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language: python
python:
- "2.7"
virtualenv:
system_site_packages: true
before_install:
- sudo apt-get install -qq gcc gfortran libblas-dev liblapack-dev python-numpy python-scipy python-matplotlib python-pip
- sudo pip install scipy --upgrade
- sudo pip install numpy --upgrade
- cd ../
- git clone https://github.com/simpeg/simpeg.git
- cd simpeg/SimPEG/
- python setup.py
- cd ../../
- echo export PYTHONPATH=$PYTHONPATH:/home/travis/build/simpeg/simpeg >> .bashrc
- source .bashrc
- cd simpegmt
# command to install dependencies
install: "pip install -r requirements.txt --use-mirrors"
# command to run tests
script: nosetests -v
notifications:
email:
- rowanc1@gmail.com
- gkrosen@gmail.com
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The MIT License (MIT)
Copyright (c) 2013-2014 SimPEG Developers
Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files (the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
the Software, and to permit persons to whom the Software is furnished to do so,
subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS
FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR
COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER
IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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simpegem
========
A electromagnetic forward modelling and inversion package for SimPEG.
Documentation:
[http://simpegem.readthedocs.org/en/latest/](http://simpegem.readthedocs.org/en/latest/)
Code:
[https://github.com/simpeg/simpegem](https://github.com/simpeg/simpegem)
Tests:
[https://travis-ci.org/simpeg/simpegem](https://travis-ci.org/simpeg/simpegem)
Build Status:
[![Build Status](https://travis-ci.org/simpeg/simpegem.svg?branch=master)](https://travis-ci.org/simpeg/simpegem)
Bugs & Issues:
[https://github.com/simpeg/simpegem/issues](https://github.com/simpeg/simpegem/issues)
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# Makefile for Sphinx documentation
#
# You can set these variables from the command line.
SPHINXOPTS =
SPHINXBUILD = sphinx-build
PAPER =
BUILDDIR = _build
# Internal variables.
PAPEROPT_a4 = -D latex_paper_size=a4
PAPEROPT_letter = -D latex_paper_size=letter
ALLSPHINXOPTS = -d $(BUILDDIR)/doctrees $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) .
# the i18n builder cannot share the environment and doctrees with the others
I18NSPHINXOPTS = $(PAPEROPT_$(PAPER)) $(SPHINXOPTS) .
.PHONY: help clean html dirhtml singlehtml pickle json htmlhelp qthelp devhelp epub latex latexpdf text man changes linkcheck doctest gettext
help:
@echo "Please use \`make <target>' where <target> is one of"
@echo " html to make standalone HTML files"
@echo " dirhtml to make HTML files named index.html in directories"
@echo " singlehtml to make a single large HTML file"
@echo " pickle to make pickle files"
@echo " json to make JSON files"
@echo " htmlhelp to make HTML files and a HTML help project"
@echo " qthelp to make HTML files and a qthelp project"
@echo " devhelp to make HTML files and a Devhelp project"
@echo " epub to make an epub"
@echo " latex to make LaTeX files, you can set PAPER=a4 or PAPER=letter"
@echo " latexpdf to make LaTeX files and run them through pdflatex"
@echo " text to make text files"
@echo " man to make manual pages"
@echo " texinfo to make Texinfo files"
@echo " info to make Texinfo files and run them through makeinfo"
@echo " gettext to make PO message catalogs"
@echo " changes to make an overview of all changed/added/deprecated items"
@echo " linkcheck to check all external links for integrity"
@echo " doctest to run all doctests embedded in the documentation (if enabled)"
clean:
-rm -rf $(BUILDDIR)/*
html:
$(SPHINXBUILD) -b html $(ALLSPHINXOPTS) $(BUILDDIR)/html
@echo
@echo "Build finished. The HTML pages are in $(BUILDDIR)/html."
dirhtml:
$(SPHINXBUILD) -b dirhtml $(ALLSPHINXOPTS) $(BUILDDIR)/dirhtml
@echo
@echo "Build finished. The HTML pages are in $(BUILDDIR)/dirhtml."
singlehtml:
$(SPHINXBUILD) -b singlehtml $(ALLSPHINXOPTS) $(BUILDDIR)/singlehtml
@echo
@echo "Build finished. The HTML page is in $(BUILDDIR)/singlehtml."
pickle:
$(SPHINXBUILD) -b pickle $(ALLSPHINXOPTS) $(BUILDDIR)/pickle
@echo
@echo "Build finished; now you can process the pickle files."
json:
$(SPHINXBUILD) -b json $(ALLSPHINXOPTS) $(BUILDDIR)/json
@echo
@echo "Build finished; now you can process the JSON files."
htmlhelp:
$(SPHINXBUILD) -b htmlhelp $(ALLSPHINXOPTS) $(BUILDDIR)/htmlhelp
@echo
@echo "Build finished; now you can run HTML Help Workshop with the" \
".hhp project file in $(BUILDDIR)/htmlhelp."
qthelp:
$(SPHINXBUILD) -b qthelp $(ALLSPHINXOPTS) $(BUILDDIR)/qthelp
@echo
@echo "Build finished; now you can run "qcollectiongenerator" with the" \
".qhcp project file in $(BUILDDIR)/qthelp, like this:"
@echo "# qcollectiongenerator $(BUILDDIR)/qthelp/SimPEG.qhcp"
@echo "To view the help file:"
@echo "# assistant -collectionFile $(BUILDDIR)/qthelp/SimPEG.qhc"
devhelp:
$(SPHINXBUILD) -b devhelp $(ALLSPHINXOPTS) $(BUILDDIR)/devhelp
@echo
@echo "Build finished."
@echo "To view the help file:"
@echo "# mkdir -p $$HOME/.local/share/devhelp/SimPEG"
@echo "# ln -s $(BUILDDIR)/devhelp $$HOME/.local/share/devhelp/SimPEG"
@echo "# devhelp"
epub:
$(SPHINXBUILD) -b epub $(ALLSPHINXOPTS) $(BUILDDIR)/epub
@echo
@echo "Build finished. The epub file is in $(BUILDDIR)/epub."
latex:
$(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex
@echo
@echo "Build finished; the LaTeX files are in $(BUILDDIR)/latex."
@echo "Run \`make' in that directory to run these through (pdf)latex" \
"(use \`make latexpdf' here to do that automatically)."
latexpdf:
$(SPHINXBUILD) -b latex $(ALLSPHINXOPTS) $(BUILDDIR)/latex
@echo "Running LaTeX files through pdflatex..."
$(MAKE) -C $(BUILDDIR)/latex all-pdf
@echo "pdflatex finished; the PDF files are in $(BUILDDIR)/latex."
text:
$(SPHINXBUILD) -b text $(ALLSPHINXOPTS) $(BUILDDIR)/text
@echo
@echo "Build finished. The text files are in $(BUILDDIR)/text."
man:
$(SPHINXBUILD) -b man $(ALLSPHINXOPTS) $(BUILDDIR)/man
@echo
@echo "Build finished. The manual pages are in $(BUILDDIR)/man."
texinfo:
$(SPHINXBUILD) -b texinfo $(ALLSPHINXOPTS) $(BUILDDIR)/texinfo
@echo
@echo "Build finished. The Texinfo files are in $(BUILDDIR)/texinfo."
@echo "Run \`make' in that directory to run these through makeinfo" \
"(use \`make info' here to do that automatically)."
info:
$(SPHINXBUILD) -b texinfo $(ALLSPHINXOPTS) $(BUILDDIR)/texinfo
@echo "Running Texinfo files through makeinfo..."
make -C $(BUILDDIR)/texinfo info
@echo "makeinfo finished; the Info files are in $(BUILDDIR)/texinfo."
gettext:
$(SPHINXBUILD) -b gettext $(I18NSPHINXOPTS) $(BUILDDIR)/locale
@echo
@echo "Build finished. The message catalogs are in $(BUILDDIR)/locale."
changes:
$(SPHINXBUILD) -b changes $(ALLSPHINXOPTS) $(BUILDDIR)/changes
@echo
@echo "The overview file is in $(BUILDDIR)/changes."
linkcheck:
$(SPHINXBUILD) -b linkcheck $(ALLSPHINXOPTS) $(BUILDDIR)/linkcheck
@echo
@echo "Link check complete; look for any errors in the above output " \
"or in $(BUILDDIR)/linkcheck/output.txt."
doctest:
$(SPHINXBUILD) -b doctest $(ALLSPHINXOPTS) $(BUILDDIR)/doctest
@echo "Testing of doctests in the sources finished, look at the " \
"results in $(BUILDDIR)/doctest/output.txt."
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# -*- coding: utf-8 -*-
#
# SimPEG documentation build configuration file, created by
# sphinx-quickstart on Fri Aug 30 18:42:44 2013.
#
# This file is execfile()d with the current directory set to its containing dir.
#
# Note that not all possible configuration values are present in this
# autogenerated file.
#
# All configuration values have a default; values that are commented out
# serve to show the default.
import sys, os
# If extensions (or modules to document with autodoc) are in another directory,
# add these directories to sys.path here. If the directory is relative to the
# documentation root, use os.path.abspath to make it absolute, like shown here.
#sys.path.insert(0, os.path.abspath('.'))
sys.path.append('../')
# -- General configuration -----------------------------------------------------
# If your documentation needs a minimal Sphinx version, state it here.
#needs_sphinx = '1.0'
# Add any Sphinx extension module names here, as strings. They can be extensions
# 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']
# Add any paths that contain templates here, relative to this directory.
templates_path = ['_templates']
# The suffix of source filenames.
source_suffix = '.rst'
# The encoding of source files.
#source_encoding = 'utf-8-sig'
# The master toctree document.
master_doc = 'index'
# General information about the project.
project = u'SimPEG'
copyright = u'2013, SimPEG Developers'
# The version info for the project you're documenting, acts as replacement for
# |version| and |release|, also used in various other places throughout the
# built documents.
#
# The short X.Y version.
version = '0.0.1'
# The full version, including alpha/beta/rc tags.
release = '0.0.1'
# The language for content autogenerated by Sphinx. Refer to documentation
# for a list of supported languages.
#language = None
# There are two options for replacing |today|: either, you set today to some
# non-false value, then it is used:
#today = ''
# Else, today_fmt is used as the format for a strftime call.
#today_fmt = '%B %d, %Y'
# List of patterns, relative to source directory, that match files and
# directories to ignore when looking for source files.
exclude_patterns = ['_build']
# The reST default role (used for this markup: `text`) to use for all documents.
#default_role = None
# If true, '()' will be appended to :func: etc. cross-reference text.
#add_function_parentheses = True
# If true, the current module name will be prepended to all description
# unit titles (such as .. function::).
#add_module_names = True
# If true, sectionauthor and moduleauthor directives will be shown in the
# output. They are ignored by default.
#show_authors = False
# The name of the Pygments (syntax highlighting) style to use.
pygments_style = 'sphinx'
# A list of ignored prefixes for module index sorting.
#modindex_common_prefix = []
# -- Options for HTML output ---------------------------------------------------
# The theme to use for HTML and HTML Help pages. See the documentation for
# a list of builtin themes.
html_theme = 'default'
# Theme options are theme-specific and customize the look and feel of a theme
# further. For a list of options available for each theme, see the
# documentation.
#html_theme_options = {}
# Add any paths that contain custom themes here, relative to this directory.
#html_theme_path = []
# The name for this set of Sphinx documents. If None, it defaults to
# "<project> v<release> documentation".
#html_title = None
# A shorter title for the navigation bar. Default is the same as html_title.
#html_short_title = None
# The name of an image file (relative to this directory) to place at the top
# of the sidebar.
#html_logo = None
# 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
# pixels large.
#html_favicon = None
# 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,
# so a file named "default.css" will overwrite the builtin "default.css".
html_static_path = ['_static']
# If not '', a 'Last updated on:' timestamp is inserted at every page bottom,
# using the given strftime format.
#html_last_updated_fmt = '%b %d, %Y'
# If true, SmartyPants will be used to convert quotes and dashes to
# typographically correct entities.
#html_use_smartypants = True
# Custom sidebar templates, maps document names to template names.
#html_sidebars = {}
# Additional templates that should be rendered to pages, maps page names to
# template names.
#html_additional_pages = {}
# If false, no module index is generated.
#html_domain_indices = True
# If false, no index is generated.
#html_use_index = True
# If true, the index is split into individual pages for each letter.
#html_split_index = False
# If true, links to the reST sources are added to the pages.
#html_show_sourcelink = True
# If true, "Created using Sphinx" is shown in the HTML footer. Default is True.
#html_show_sphinx = True
# If true, "(C) Copyright ..." is shown in the HTML footer. Default is True.
#html_show_copyright = True
# If true, an OpenSearch description file will be output, and all pages will
# contain a <link> tag referring to it. The value of this option must be the
# base URL from which the finished HTML is served.
#html_use_opensearch = ''
# This is the file name suffix for HTML files (e.g. ".xhtml").
#html_file_suffix = None
# Output file base name for HTML help builder.
htmlhelp_basename = 'SimPEGdoc'
# -- Options for LaTeX output --------------------------------------------------
latex_elements = {
# The paper size ('letterpaper' or 'a4paper').
#'papersize': 'letterpaper',
# The font size ('10pt', '11pt' or '12pt').
#'pointsize': '10pt',
# Additional stuff for the LaTeX preamble.
#'preamble': '',
}
# Grouping the document tree into LaTeX files. List of tuples
# (source start file, target name, title, author, documentclass [howto/manual]).
latex_documents = [
('index', 'SimPEG.tex', u'SimPEG Documentation',
u'Rowan Cockett', 'manual'),
]
# The name of an image file (relative to this directory) to place at the top of
# the title page.
#latex_logo = None
# For "manual" documents, if this is true, then toplevel headings are parts,
# not chapters.
#latex_use_parts = False
# If true, show page references after internal links.
#latex_show_pagerefs = False
# If true, show URL addresses after external links.
#latex_show_urls = False
# Documents to append as an appendix to all manuals.
#latex_appendices = []
# If false, no module index is generated.
#latex_domain_indices = True
# -- Options for manual page output --------------------------------------------
# One entry per manual page. List of tuples
# (source start file, name, description, authors, manual section).
man_pages = [
('index', 'simpeg', u'SimPEG Documentation',
[u'Rowan Cockett'], 1)
]
# If true, show URL addresses after external links.
#man_show_urls = False
# -- Options for Texinfo output ------------------------------------------------
# Grouping the document tree into Texinfo files. List of tuples
# (source start file, target name, title, author,
# dir menu entry, description, category)
texinfo_documents = [
('index', 'SimPEG', u'SimPEG Documentation',
u'Rowan Cockett', 'SimPEG', 'One line description of project.',
'Miscellaneous'),
]
# Documents to append as an appendix to all manuals.
#texinfo_appendices = []
# If false, no module index is generated.
#texinfo_domain_indices = True
# How to display URL addresses: 'footnote', 'no', or 'inline'.
#texinfo_show_urls = 'footnote'
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.. image:: simpeg-logo.png
:width: 300 px
:alt: SimPEG
:align: center
SimPEG for Magnetotellurics
===========================
SimPEG (Simulation and Parameter Estimation in Geophysics) is a python
package for simulation and gradient based parameter estimation in the
context of geoscience applications.
simpegMT uses SimPEG as the framework for the forward and inverse
magnetotellurics geophysical problems.
Testing simpegMT
================
* Master Branch
.. image:: https://travis-ci.org/simpeg/simpegmt.svg?branch=master
:target: https://travis-ci.org/simpeg/simpegmt
:alt: Master Branch
:align: center
Project Index & Search
======================
* :ref:`genindex`
* :ref:`modindex`
* :ref:`search`
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@ECHO OFF
REM Command file for Sphinx documentation
if "%SPHINXBUILD%" == "" (
set SPHINXBUILD=sphinx-build
)
set BUILDDIR=_build
set ALLSPHINXOPTS=-d %BUILDDIR%/doctrees %SPHINXOPTS% .
set I18NSPHINXOPTS=%SPHINXOPTS% .
if NOT "%PAPER%" == "" (
set ALLSPHINXOPTS=-D latex_paper_size=%PAPER% %ALLSPHINXOPTS%
set I18NSPHINXOPTS=-D latex_paper_size=%PAPER% %I18NSPHINXOPTS%
)
if "%1" == "" goto help
if "%1" == "help" (
:help
echo.Please use `make ^<target^>` where ^<target^> is one of
echo. html to make standalone HTML files
echo. dirhtml to make HTML files named index.html in directories
echo. singlehtml to make a single large HTML file
echo. pickle to make pickle files
echo. json to make JSON files
echo. htmlhelp to make HTML files and a HTML help project
echo. qthelp to make HTML files and a qthelp project
echo. devhelp to make HTML files and a Devhelp project
echo. epub to make an epub
echo. latex to make LaTeX files, you can set PAPER=a4 or PAPER=letter
echo. text to make text files
echo. man to make manual pages
echo. texinfo to make Texinfo files
echo. gettext to make PO message catalogs
echo. changes to make an overview over all changed/added/deprecated items
echo. linkcheck to check all external links for integrity
echo. doctest to run all doctests embedded in the documentation if enabled
goto end
)
if "%1" == "clean" (
for /d %%i in (%BUILDDIR%\*) do rmdir /q /s %%i
del /q /s %BUILDDIR%\*
goto end
)
if "%1" == "html" (
%SPHINXBUILD% -b html %ALLSPHINXOPTS% %BUILDDIR%/html
if errorlevel 1 exit /b 1
echo.
echo.Build finished. The HTML pages are in %BUILDDIR%/html.
goto end
)
if "%1" == "dirhtml" (
%SPHINXBUILD% -b dirhtml %ALLSPHINXOPTS% %BUILDDIR%/dirhtml
if errorlevel 1 exit /b 1
echo.
echo.Build finished. The HTML pages are in %BUILDDIR%/dirhtml.
goto end
)
if "%1" == "singlehtml" (
%SPHINXBUILD% -b singlehtml %ALLSPHINXOPTS% %BUILDDIR%/singlehtml
if errorlevel 1 exit /b 1
echo.
echo.Build finished. The HTML pages are in %BUILDDIR%/singlehtml.
goto end
)
if "%1" == "pickle" (
%SPHINXBUILD% -b pickle %ALLSPHINXOPTS% %BUILDDIR%/pickle
if errorlevel 1 exit /b 1
echo.
echo.Build finished; now you can process the pickle files.
goto end
)
if "%1" == "json" (
%SPHINXBUILD% -b json %ALLSPHINXOPTS% %BUILDDIR%/json
if errorlevel 1 exit /b 1
echo.
echo.Build finished; now you can process the JSON files.
goto end
)
if "%1" == "htmlhelp" (
%SPHINXBUILD% -b htmlhelp %ALLSPHINXOPTS% %BUILDDIR%/htmlhelp
if errorlevel 1 exit /b 1
echo.
echo.Build finished; now you can run HTML Help Workshop with the ^
.hhp project file in %BUILDDIR%/htmlhelp.
goto end
)
if "%1" == "qthelp" (
%SPHINXBUILD% -b qthelp %ALLSPHINXOPTS% %BUILDDIR%/qthelp
if errorlevel 1 exit /b 1
echo.
echo.Build finished; now you can run "qcollectiongenerator" with the ^
.qhcp project file in %BUILDDIR%/qthelp, like this:
echo.^> qcollectiongenerator %BUILDDIR%\qthelp\SimPEG.qhcp
echo.To view the help file:
echo.^> assistant -collectionFile %BUILDDIR%\qthelp\SimPEG.ghc
goto end
)
if "%1" == "devhelp" (
%SPHINXBUILD% -b devhelp %ALLSPHINXOPTS% %BUILDDIR%/devhelp
if errorlevel 1 exit /b 1
echo.
echo.Build finished.
goto end
)
if "%1" == "epub" (
%SPHINXBUILD% -b epub %ALLSPHINXOPTS% %BUILDDIR%/epub
if errorlevel 1 exit /b 1
echo.
echo.Build finished. The epub file is in %BUILDDIR%/epub.
goto end
)
if "%1" == "latex" (
%SPHINXBUILD% -b latex %ALLSPHINXOPTS% %BUILDDIR%/latex
if errorlevel 1 exit /b 1
echo.
echo.Build finished; the LaTeX files are in %BUILDDIR%/latex.
goto end
)
if "%1" == "text" (
%SPHINXBUILD% -b text %ALLSPHINXOPTS% %BUILDDIR%/text
if errorlevel 1 exit /b 1
echo.
echo.Build finished. The text files are in %BUILDDIR%/text.
goto end
)
if "%1" == "man" (
%SPHINXBUILD% -b man %ALLSPHINXOPTS% %BUILDDIR%/man
if errorlevel 1 exit /b 1
echo.
echo.Build finished. The manual pages are in %BUILDDIR%/man.
goto end
)
if "%1" == "texinfo" (
%SPHINXBUILD% -b texinfo %ALLSPHINXOPTS% %BUILDDIR%/texinfo
if errorlevel 1 exit /b 1
echo.
echo.Build finished. The Texinfo files are in %BUILDDIR%/texinfo.
goto end
)
if "%1" == "gettext" (
%SPHINXBUILD% -b gettext %I18NSPHINXOPTS% %BUILDDIR%/locale
if errorlevel 1 exit /b 1
echo.
echo.Build finished. The message catalogs are in %BUILDDIR%/locale.
goto end
)
if "%1" == "changes" (
%SPHINXBUILD% -b changes %ALLSPHINXOPTS% %BUILDDIR%/changes
if errorlevel 1 exit /b 1
echo.
echo.The overview file is in %BUILDDIR%/changes.
goto end
)
if "%1" == "linkcheck" (
%SPHINXBUILD% -b linkcheck %ALLSPHINXOPTS% %BUILDDIR%/linkcheck
if errorlevel 1 exit /b 1
echo.
echo.Link check complete; look for any errors in the above output ^
or in %BUILDDIR%/linkcheck/output.txt.
goto end
)
if "%1" == "doctest" (
%SPHINXBUILD% -b doctest %ALLSPHINXOPTS% %BUILDDIR%/doctest
if errorlevel 1 exit /b 1
echo.
echo.Testing of doctests in the sources finished, look at the ^
results in %BUILDDIR%/doctest/output.txt.
goto end
)
:end
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numpy
scipy
ipython
matplotlib
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import os
try:
import SimPEG
except ImportError, e:
os.system('git clone https://github.com/simpeg/simpeg.git')
os.system('mv simpeg/SimPEG temp')
os.system('rm -rf simpeg')
os.system('mv temp SimPEG')
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from SimPEG import Survey, Problem, Utils, np, sp, Solver as SimpegSolver
from scipy.constants import mu_0
class BaseEMProblem(Problem.BaseProblem):
def __init__(self, mesh, **kwargs):
Problem.BaseProblem.__init__(self, mesh, **kwargs)
solType = None
storeTheseFields = ['e', 'b']
surveyPair = Survey.BaseSurvey
dataPair = Survey.Data
Solver = SimpegSolver
solverOpts = {}
####################################################
# Mass Matrices
####################################################
@property
def MfMui(self):
#TODO: assuming constant mu
if getattr(self, '_MfMui', None) is None:
self._MfMui = self.mesh.getFaceInnerProduct(1/mu_0)
return self._MfMui
@property
def Me(self):
if getattr(self, '_Me', None) is None:
self._Me = self.mesh.getEdgeInnerProduct()
return self._Me
@property
def MeSigma(self):
#TODO: hardcoded to sigma as the model
if getattr(self, '_MeSigma', None) is None:
sigma = self.curTModel
self._MeSigma = self.mesh.getEdgeInnerProduct(sigma)
return self._MeSigma
@property
def MeSigmaI(self):
#TODO: hardcoded to sigma as the model
if getattr(self, '_MeSigmaI', None) is None:
sigma = self.curTModel
self._MeSigmaI = self.mesh.getEdgeInnerProduct(sigma, invMat=True)
return self._MeSigmaI
curModel = Utils.dependentProperty('_curModel', None, ['_MeSigma', '_MeSigmaI', '_curTModel', '_curTModelDeriv'], 'Sets the current model, and removes dependent mass matrices.')
@property
def curTModel(self):
if getattr(self, '_curTModel', None) is None:
self._curTModel = self.mapping.transform(self.curModel)
return self._curTModel
@property
def curTModelDeriv(self):
if getattr(self, '_curTModelDeriv', None) is None:
self._curTModelDeriv = self.mapping.transformDeriv(self.curModel)
return self._curTModelDeriv
def fields(self, m):
self.curModel = m
F = self.forward(m, self.getRHS, self.calcFields)
return F
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from SimPEG import Survey, Problem, Utils, np, sp, Solver as SimpegSolver
from scipy.constants import mu_0
from SurveyFDEM import SurveyFDEM, FieldsFDEM
from simpegEM.Utils import Sources
from simpegEM.Base import BaseEMProblem
def omega(freq):
"""Change frequency to angular frequency, omega"""
return 2.*np.pi*freq
class BaseFDEMProblem(BaseEMProblem):
"""
We start by looking at Maxwell's equations in the electric field \\(\\vec{E}\\) and the magnetic flux density \\(\\vec{B}\\):
.. math::
\\nabla \\times \\vec{E} + i \\omega \\vec{B} = 0 \\\\
\\nabla \\times \\mu^{-1} \\vec{B} - \\sigma \\vec{E} = \\vec{J_s}
"""
surveyPair = SurveyFDEM
def forward(self, m, RHS, CalcFields):
F = FieldsFDEM(self.mesh, self.survey)
for freq in self.survey.freqs:
A = self.getA(freq)
rhs = RHS(freq)
solver = self.Solver(A, **self.solverOpts)
sol = solver.solve(rhs)
for fieldType in self.storeTheseFields:
Txs = self.survey.getTransmitters(freq)
F[Txs, fieldType] = CalcFields(sol, freq, fieldType)
return F
def Jvec(self, m, v, u=None):
if u is None:
u = self.fields(m)
self.curModel = m
Jv = self.dataPair(self.survey)
for freq in self.survey.freqs:
A = self.getA(freq)
solver = self.Solver(A, **self.solverOpts)
for tx in self.survey.getTransmitters(freq):
u_tx = u[tx, self.solType]
w = self.getADeriv(freq, u_tx, v)
Ainvw = solver.solve(w)
for rx in tx.rxList:
fAinvw = self.calcFields(Ainvw, freq, rx.projField)
P = lambda v: rx.projectFieldsDeriv(tx, self.mesh, u, v)
df_dm = self.calcFieldsDeriv(u_tx, freq, rx.projField, v)
if df_dm is None:
Jv[tx, rx] = - P(fAinvw)
else:
Jv[tx, rx] = - P(fAinvw) + P(df_dm)
return Utils.mkvc(Jv)
def Jtvec(self, m, v, u=None):
if u is None:
u = self.fields(m)
self.curModel = m
# Ensure v is a data object.
if not isinstance(v, self.dataPair):
v = self.dataPair(self.survey, v)
Jtv = np.zeros(self.mapping.nP)
for freq in self.survey.freqs:
AT = self.getA(freq).T
solver = self.Solver(AT, **self.solverOpts)
for tx in self.survey.getTransmitters(freq):
u_tx = u[tx, self.solType]
for rx in tx.rxList:
PTv = rx.projectFieldsDeriv(tx, self.mesh, u, v[tx, rx], adjoint=True)
fPTv = self.calcFields(PTv, freq, rx.projField, adjoint=True)
w = solver.solve( fPTv )
Jtv_rx = - self.getADeriv(freq, u_tx, w, adjoint=True)
df_dm = self.calcFieldsDeriv(u_tx, freq, rx.projField, PTv, adjoint=True)
if df_dm is not None:
Jtv_rx += df_dm
real_or_imag = rx.projComp
if real_or_imag == 'real':
Jtv += Jtv_rx.real
elif real_or_imag == 'imag':
Jtv += - Jtv_rx.real
else:
raise Exception('Must be real or imag')
return Jtv
class ProblemFDEM_e(BaseFDEMProblem):
"""
By eliminating the magnetic flux density using
.. math::
\\vec{B} = \\frac{-1}{i\\omega}\\nabla\\times\\vec{E},
we can write Maxwell's equations as a second order system in \\ \\vec{E} \\ only:
.. math::
\\nabla \\times \\mu^{-1} \\nabla \\times \\vec{E} + i \\omega \\sigma \\vec{E} = \\vec{J_s}
This is the definition of the Forward Problem using the E-formulation of Maxwell's equations.
"""
solType = 'e'
def __init__(self, model, **kwargs):
BaseFDEMProblem.__init__(self, model, **kwargs)
def getA(self, freq):
"""
:param float freq: Frequency
:rtype: scipy.sparse.csr_matrix
:return: A
"""
mui = self.MfMui
sig = self.MeSigma
C = self.mesh.edgeCurl
return C.T*mui*C + 1j*omega(freq)*sig
def getADeriv(self, freq, u, v, adjoint=False):
sig = self.curTModel
dsig_dm = self.curTModelDeriv
dMe_dsig = self.mesh.getEdgeInnerProductDeriv(sig, v=u)
if adjoint:
return 1j * omega(freq) * ( dsig_dm.T * ( dMe_dsig.T * v ) )
return 1j * omega(freq) * ( dMe_dsig * ( dsig_dm * v ) )
def getRHS(self, freq):
"""
:param float freq: Frequency
:rtype: numpy.ndarray (nE, nTx)
:return: RHS
"""
Txs = self.survey.getTransmitters(freq)
rhs = range(len(Txs))
for i, tx in enumerate(Txs):
if tx.txType == 'VMD':
src = Sources.MagneticDipoleVectorPotential
else:
raise NotImplemented('%s txType is not implemented' % tx.txType)
SRCx = src(tx.loc, self.mesh.gridEx, 'x')
SRCy = src(tx.loc, self.mesh.gridEy, 'y')
SRCz = src(tx.loc, self.mesh.gridEz, 'z')
rhs[i] = np.concatenate((SRCx, SRCy, SRCz))
a = np.concatenate(rhs).reshape((self.mesh.nE, len(Txs)), order='F')
mui = self.MfMui
C = self.mesh.edgeCurl
j_s = C.T*mui*C*a
return -1j*omega(freq)*j_s
def calcFields(self, sol, freq, fieldType, adjoint=False):
e = sol
if fieldType == 'e':
return e
elif fieldType == 'b':
if not adjoint:
b = -(1./(1j*omega(freq))) * ( self.mesh.edgeCurl * e )
else:
b = -(1./(1j*omega(freq))) * ( self.mesh.edgeCurl.T * e )
return b
raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
def calcFieldsDeriv(self, sol, freq, fieldType, v, adjoint=False):
e = sol
if fieldType == 'e':
return None
elif fieldType == 'b':
return None
raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
class ProblemFDEM_b(BaseFDEMProblem):
"""
Solving for b!
"""
solType = 'b'
def __init__(self, model, **kwargs):
BaseFDEMProblem.__init__(self, model, **kwargs)
def getA(self, freq):
"""
:param float freq: Frequency
:rtype: scipy.sparse.csr_matrix
:return: A
"""
mui = self.MfMui
sigI = self.MeSigmaI
C = self.mesh.edgeCurl
return mui*C*sigI*C.T*mui + 1j*omega(freq)*mui
def getADeriv(self, freq, u, v, adjoint=False):
mui = self.MfMui
C = self.mesh.edgeCurl
sig = self.curTModel
dsig_dm = self.curTModelDeriv
#TODO: This only works if diagonal (no tensors)...
dMeSigmaI_dI = - self.MeSigmaI**2
vec = (C.T*(mui*u))
dMe_dsig = self.mesh.getEdgeInnerProductDeriv(sig, v=vec)
if adjoint:
return dsig_dm.T * ( dMe_dsig.T * ( dMeSigmaI_dI.T * ( C.T * ( mui.T * v ) ) ) )
return mui * ( C * ( dMeSigmaI_dI * ( dMe_dsig * ( dsig_dm * v ) ) ) )
def getRHS(self, freq):
"""
:param float freq: Frequency
:rtype: numpy.ndarray (nE, nTx)
:return: RHS
"""
Txs = self.survey.getTransmitters(freq)
rhs = range(len(Txs))
for i, tx in enumerate(Txs):
if tx.txType == 'VMD':
src = Sources.MagneticDipoleVectorPotential
else:
raise NotImplemented('%s txType is not implemented' % tx.txType)
SRCx = src(tx.loc, self.mesh.gridEx, 'x')
SRCy = src(tx.loc, self.mesh.gridEy, 'y')
SRCz = src(tx.loc, self.mesh.gridEz, 'z')
rhs[i] = np.concatenate((SRCx, SRCy, SRCz))
a = np.concatenate(rhs).reshape((self.mesh.nE, len(Txs)), order='F')
mui = self.MfMui
C = self.mesh.edgeCurl
b_0 = C*a
return -1j*omega(freq)*mui*b_0
def calcFields(self, sol, freq, fieldType, adjoint=False):
b = sol
if fieldType == 'e':
if not adjoint:
e = self.MeSigmaI * ( self.mesh.edgeCurl.T * ( self.MfMui * b ) )
else:
e = self.MfMui.T * ( self.mesh.edgeCurl * ( self.MeSigmaI.T * b ) )
return e
elif fieldType == 'b':
return b
raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
def calcFieldsDeriv(self, sol, freq, fieldType, v, adjoint=False):
b = sol
if fieldType == 'e':
sig = self.curTModel
dsig_dm = self.curTModelDeriv
C = self.mesh.edgeCurl
mui = self.MfMui
#TODO: This only works if diagonal (no tensors)...
dMeSigmaI_dI = - self.MeSigmaI**2
vec = C.T * ( mui * b )
dMe_dsig = self.mesh.getEdgeInnerProductDeriv(sig, v=vec)
if not adjoint:
return dMeSigmaI_dI * ( dMe_dsig * ( dsig_dm * v ) )
else:
return dsig_dm.T * ( dMe_dsig.T * ( dMeSigmaI_dI.T * v ) )
elif fieldType == 'b':
return None
raise NotImplementedError('fieldType "%s" is not implemented.' % fieldType)
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from SimPEG import Survey, Utils, np, sp
class RxFDEM(Survey.BaseRx):
knownRxTypes = {
'exr':['e', 'Ex', 'real'],
'eyr':['e', 'Ey', 'real'],
'ezr':['e', 'Ez', 'real'],
'exi':['e', 'Ex', 'imag'],
'eyi':['e', 'Ey', 'imag'],
'ezi':['e', 'Ez', 'imag'],
'bxr':['b', 'Fx', 'real'],
'byr':['b', 'Fy', 'real'],
'bzr':['b', 'Fz', 'real'],
'bxi':['b', 'Fx', 'imag'],
'byi':['b', 'Fy', 'imag'],
'bzi':['b', 'Fz', 'imag'],
}
def __init__(self, locs, rxType):
Survey.BaseRx.__init__(self, locs, rxType)
@property
def projField(self):
"""Field Type projection (e.g. e b ...)"""
return self.knownRxTypes[self.rxType][0]
@property
def projGLoc(self):
"""Grid Location projection (e.g. Ex Fy ...)"""
return self.knownRxTypes[self.rxType][1]
@property
def projComp(self):
"""Component projection (real/imag)"""
return self.knownRxTypes[self.rxType][2]
def projectFields(self, tx, mesh, u):
P = self.getP(mesh)
u_part_complex = u[tx, self.projField]
# get the real or imag component
real_or_imag = self.projComp
u_part = getattr(u_part_complex, real_or_imag)
return P*u_part
def projectFieldsDeriv(self, tx, mesh, u, v, adjoint=False):
P = self.getP(mesh)
if not adjoint:
Pv_complex = P * v
real_or_imag = self.projComp
Pv = getattr(Pv_complex, real_or_imag)
elif adjoint:
Pv_real = P.T * v
real_or_imag = self.projComp
if real_or_imag == 'imag':
Pv = 1j*Pv_real
elif real_or_imag == 'real':
Pv = Pv_real.astype(complex)
else:
raise NotImplementedError('must be real or imag')
return Pv
class TxFDEM(Survey.BaseTx):
freq = None #: Frequency (float)
rxPair = RxFDEM
knownTxTypes = ['VMD']
def __init__(self, loc, txType, freq, rxList):
self.freq = float(freq)
Survey.BaseTx.__init__(self, loc, txType, rxList)
class FieldsFDEM(Survey.Fields):
"""Fancy Field Storage for a FDEM survey."""
knownFields = {'b': 'F', 'e': 'E'}
dtype = complex
class SurveyFDEM(Survey.BaseSurvey):
"""
docstring for SurveyFDEM
"""
txPair = TxFDEM
def __init__(self, txList, **kwargs):
# Sort these by frequency
self.txList = txList
Survey.BaseSurvey.__init__(self, **kwargs)
_freqDict = {}
for tx in txList:
if tx.freq not in _freqDict:
_freqDict[tx.freq] = []
_freqDict[tx.freq] += [tx]
self._freqDict = _freqDict
self._freqs = sorted([f for f in self._freqDict])
@property
def freqs(self):
"""Frequencies"""
return self._freqs
@property
def nFreq(self):
"""Number of frequencies"""
return len(self._freqDict)
@property
def nTxByFreq(self):
if getattr(self, '_nTxByFreq', None) is None:
self._nTxByFreq = {}
for freq in self.freqs:
self._nTxByFreq[freq] = len(self.getTransmitters(freq))
return self._nTxByFreq
def getTransmitters(self, freq):
"""Returns the transmitters associated with a specific frequency."""
assert freq in self._freqDict, "The requested frequency is not in this survey."
return self._freqDict[freq]
def projectFields(self, u):
data = Survey.Data(self)
for tx in self.txList:
for rx in tx.rxList:
data[tx, rx] = rx.projectFields(tx, self.mesh, u)
return data
def projectFieldsDeriv(self, u):
raise Exception('Use Transmitters to project fields deriv.')
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from SurveyFDEM import *
from FDEM import ProblemFDEM_e, ProblemFDEM_b
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import os
import glob
import unittest
if __name__ == '__main__':
test_file_strings = glob.glob('test_*.py')
module_strings = [str[0:len(str)-3] for str in test_file_strings]
suites = [unittest.defaultTestLoader.loadTestsFromName(str) for str
in module_strings]
testSuite = unittest.TestSuite(suites)
unittest.TextTestRunner(verbosity=2).run(testSuite)
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import unittest
from SimPEG import *
import simpegMT as MT
class FieldsTest(unittest.TestCase):
def setUp(self):
mesh = Mesh.TensorMesh([np.ones(n)*5 for n in [10,11,12]],[0,0,-30])
x = np.linspace(5,10,3)
XYZ = Utils.ndgrid(x,x,np.r_[0.])
txLoc = np.r_[0,0,0.]
rxList0 = MT.FDEM.RxFDEM(XYZ, 'exi')
Tx0 = MT.FDEM.TxFDEM(txLoc, 'VMD', 3., [rxList0])
rxList1 = MT.FDEM.RxFDEM(XYZ, 'bxi')
Tx1 = MT.FDEM.TxFDEM(txLoc, 'VMD', 3., [rxList1])
rxList2 = MT.FDEM.RxFDEM(XYZ, 'bxi')
Tx2 = MT.FDEM.TxFDEM(txLoc, 'VMD', 2., [rxList2])
rxList3 = MT.FDEM.RxFDEM(XYZ, 'bxi')
Tx3 = MT.FDEM.TxFDEM(txLoc, 'VMD', 2., [rxList3])
Tx4 = MT.FDEM.TxFDEM(txLoc, 'VMD', 1., [rxList0, rxList1, rxList2, rxList3])
txList = [Tx0,Tx1,Tx2,Tx3,Tx4]
survey = MT.FDEM.SurveyFDEM(txList)
self.F = MT.FDEM.FieldsFDEM(mesh, survey)
self.Tx0 = Tx0
self.Tx1 = Tx1
self.mesh = mesh
self.XYZ = XYZ
def test_SetGet(self):
F = self.F
for freq in F.survey.freqs:
nFreq = F.survey.nTxByFreq[freq]
Txs = F.survey.getTransmitters(freq)
e = np.random.rand(F.mesh.nE, nFreq)
F[Txs, 'e'] = e
b = np.random.rand(F.mesh.nF, nFreq)
F[Txs, 'b'] = b
if nFreq == 1:
F[Txs, 'b'] = Utils.mkvc(b)
if e.shape[1] == 1:
e, b = Utils.mkvc(e), Utils.mkvc(b)
self.assertTrue(np.all(F[Txs, 'e'] == e))
self.assertTrue(np.all(F[Txs, 'b'] == b))
F[Txs] = {'b':b,'e':e}
self.assertTrue(np.all(F[Txs, 'e'] == e))
self.assertTrue(np.all(F[Txs, 'b'] == b))
lastFreq = F[Txs]
self.assertTrue(type(lastFreq) is dict)
self.assertTrue(sorted([k for k in lastFreq]) == ['b','e'])
self.assertTrue(np.all(lastFreq['b'] == b))
self.assertTrue(np.all(lastFreq['e'] == e))
Tx_f3 = F.survey.getTransmitters(3.)
self.assertTrue(F[Tx_f3,'b'].shape == (F.mesh.nF, 2))
b = np.random.rand(F.mesh.nF, 2)
Tx_f0 = F.survey.getTransmitters(self.Tx0.freq)
F[Tx_f0,'b'] = b
self.assertTrue(F[self.Tx0]['b'].shape == (F.mesh.nF,))
self.assertTrue(F[self.Tx0,'b'].shape == (F.mesh.nF,))
self.assertTrue(np.all(F[self.Tx0,'b'] == b[:,0]))
self.assertTrue(np.all(F[self.Tx1,'b'] == b[:,1]))
def test_assertions(self):
freq = self.F.survey.freqs[0]
Txs = self.F.survey.getTransmitters(freq)
bWrongSize = np.random.rand(self.F.mesh.nE, self.F.survey.nTxByFreq[freq])
def fun(): self.F[Txs, 'b'] = bWrongSize
self.assertRaises(ValueError, fun)
def fun(): self.F[-999.]
self.assertRaises(KeyError, fun)
def fun(): self.F['notRight']
self.assertRaises(KeyError, fun)
def fun(): self.F[Txs,'notThere']
self.assertRaises(KeyError, fun)
def test_FieldProjections(self):
F = self.F
for freq in F.survey.freqs:
nFreq = F.survey.nTxByFreq[freq]
Txs = F.survey.getTransmitters(freq)
e = np.random.rand(F.mesh.nE, nFreq)
b = np.random.rand(F.mesh.nF, nFreq)
F[Txs] = {'b':b,'e':e}
Txs = F.survey.getTransmitters(freq)
for ii, tx in enumerate(Txs):
for jj, rx in enumerate(tx.rxList):
dat = rx.projectFields(tx, self.mesh, F)
self.assertTrue(dat.dtype == float)
fieldType = rx.projField
u = {'b':b[:,ii], 'e': e[:,ii]}[fieldType]
real_or_imag = rx.projComp
u = getattr(u, real_or_imag)
gloc = rx.projGLoc
d = self.mesh.getInterpolationMat(self.XYZ, gloc)*u
self.assertTrue(np.all(dat == d))
if __name__ == '__main__':
unittest.main()
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# from EM import *
import Utils
import FDEM
import Base