doc added; reading of isochronal bds

This commit is contained in:
dominik
2022-03-22 20:07:59 +01:00
parent a222072b28
commit 6cd630245c
89 changed files with 41178 additions and 973 deletions

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:mod:`{{ module | escape }}`.{{ objname }}
{{ underline }}==================
.. currentmodule:: {{ module }}
.. autoclass:: {{ objname }}
:members:
:inherited-members:
.. include:: {{ fullname }}.examples
.. raw:: html
<div class="clearer"></div>

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.. automodule:: nmreval.data
:no-members:
:no-inherited-members:
:no-special-members:

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.. automodule:: nmreval.distributions
:no-members:
:no-inherited-members:
:no-special-members:

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*********************************
Distribution of correlation times
*********************************
List of all implemented distributions and the associated correlation functions, spectral densities, susceptibilies
.. contents:: Table of Contents
:depth: 3
:local:
:backlinks: entry
Cole-Cole
---------
.. automodule:: nmreval.distributions.colecole
:members:
Cole-Davidson
-------------
.. automodule:: nmreval.distributions.coledavidson
:members:
Havriliak-Negami
----------------
.. automodule:: nmreval.distributions.havriliaknegami
:members:

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=========
Reference
=========
.. toctree::
:caption: Table of contents
:maxdepth: 1
:glob:
data
models
distributions
nmr

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.. automodule:: nmreval.models
:no-members:
:no-inherited-members:
:no-special-members:

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************************
``nmreval.models.basic``
************************
.. automodule:: nmreval.models.basic
:members:

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**************
Model function
**************
List of all implemented functions
.. contents:: Table of Contents
:depth: 3
:local:
:backlinks: entry
Basic functions
---------------
.. currentmodule:: nmreval
.. autosummary::
:toctree:
nmreval.models.basic
NMR relaxation functions
------------------------
.. automodule:: nmreval.models.relaxation
:members:

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nmreval.models.basic
====================
.. automodule:: nmreval.models.basic
.. rubric:: Classes
.. autosummary::
Constant
ExpFunc
Linear
Log
MittagLeffler
Parabola
PowerLaw
PowerLawCross
Sine

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.. automodule:: nmreval.nmr
:no-members:
:no-inherited-members:
:no-special-members:

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# Configuration file for the Sphinx documentation builder.
#
# This file only contains a selection of the most common options. For a full
# list see the documentation:
# https://www.sphinx-doc.org/en/master/usage/configuration.html
# -- Path setup --------------------------------------------------------------
# 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.
#
import os
import sys
import sphinx_bootstrap_theme
sys.path.append('/autohome/dominik/nmreval')
import nmreval
# -- Project information -----------------------------------------------------
project = 'NMREval'
author = 'Dominik Demuth'
copyright = '2022, Dominik Demuth'
# 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
release = nmreval.__version__
# The full version, including alpha/beta/rc tags.
version = release
# -- General configuration ---------------------------------------------------
# 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.autodoc',
'sphinx.ext.autosummary',
'sphinx.ext.inheritance_diagram',
'sphinx.ext.napoleon',
'sphinx.ext.viewcode',
'sphinx.ext.intersphinx',
'sphinx_gallery.gen_gallery',
]
# configuration for intersphinx
intersphinx_mapping = {
'numpy': ('https://numpy.org/doc/stable/', None),
'python': ('https://docs.python.org/3/', None),
'scipy': ('https://docs.scipy.org/doc/scipy/', None),
'PyQt': ('https://www.riverbankcomputing.com/static/Docs/PyQt5/', None),
'matplotlib': ('https://matplotlib.org/stable', None),
}
# autodoc options
autodoc_typehints = 'none'
autodoc_class_signature = 'separated'
autoclass_content = 'class'
autodoc_member_order = 'groupwise'
# autodoc_default_options = {'members': False, 'inherited-members': False}
# autosummay options
autosummary_generate = True
# spinx-gallery
sphinx_gallery_conf = {
'examples_dirs': '../examples', # path to your example scripts
'gallery_dirs': ['gallery'], # path to where to save gallery generated output
'backreferences_dir': os.path.join('api', 'generated'), # directory where function/class granular galleries are stored
'doc_module': 'nmreval', # Modules for which function/class level galleries are created.
'reference_url': {
'nmreval': None, # The module you locally document uses None
},
'download_all_examples': False,
'plot_gallery': True,
'inspect_global_variables': False,
'remove_config_comments': True,
'min_reported_time': 10000000000,
'show_memory': False,
'show_signature': False,
}
# The suffix(es) of source filenames.
# You can specify multiple suffix as a list of string:
#
# source_suffix = ['.rst', '.md']
source_suffix = '.rst'
# The master toctree document.
master_doc = 'index'
# List of patterns, relative to source directory, that match files and
# directories to ignore when looking for source files.
# This pattern also affects html_static_path and html_extra_path.
exclude_patterns = []
# Add any paths that contain templates here, relative to this directory.
templates_path = ['_templates']
# The name of the Pygments (syntax highlighting) style to use.
pygments_style = 'sphinx'
# The language for content autogenerated by Sphinx. Refer to documentation
# for a list of supported languages.
#
# This is also used if you do content translation via gettext catalogs.
# Usually you set "language" from the command line for these cases.
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'
# 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 = False
# If true, sectionauthor and moduleauthor directives will be shown in the
# output. They are ignored by default.
#
# show_authors = False
# A list of ignored prefixes for module index sorting.
# modindex_common_prefix = []
# If true, keep warnings as "system message" paragraphs in the built documents.
# keep_warnings = False
# If true, `todo` and `todoList` produce output, else they produce nothing.
todo_include_todos = False
# -- 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 = 'pydata_sphinx_theme'
# 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 = {
'collapse_navigation': False,
'show_prev_next': False,
'navbar_end': ['navbar-icon-links.html', 'search-field.html'],
}
# Add any paths that contain custom themes here, relative to this directory.
# html_theme_path = sphinx_bootstrap_theme.get_html_theme_path()
# The name for this set of Sphinx documents.
# "<project> v<release> documentation" by default.
#
# html_title = u'NMREval v0.0.1'
# 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']
# A shorter title for the navigation bar. Default is the same as html_title.
# html_short_title = None
# (Optional) Logo. Should be small enough to fit the navbar (ideally 24x24).
# Path should be relative to the ``_static`` files directory.
html_logo = '_static/logo.png'
# Custom sidebar templates, maps document names to template names.
html_sidebars = {'**': ['sidebar-nav-bs.html']}
# html_sidebars = {
# '**': ['localtoc.html', 'relations.html', 'sourcelink.html', 'searchbox.html'],
# }
# If true, links to the reST sources are added to the pages.
html_show_sourcelink = False
# 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
# If not '', a 'Last updated on:' timestamp is inserted at every page bottom,
# using the given strftime format.
html_last_updated_fmt = ''
# 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 = False
# 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, "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 = 'pydoc'
# -- 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': '',
# Latex figure (float) alignment
#
# 'figure_align': 'htbp',
}
# Grouping the document tree into LaTeX files. List of tuples
# (source start file, target name, title,
# author, documentclass [howto, manual, or own class]).
latex_documents = [
(master_doc, 'NMREval.tex', u'NMREval Documentation',
u'Dominik Demuth', '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 = []
# It false, will not define \strong, \code, itleref, \crossref ... but only
# \sphinxstrong, ..., \sphinxtitleref, ... To help avoid clash with user added
# packages.
#
# latex_keep_old_macro_names = True
# 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 = [
(master_doc, 'nmreval', u'NMREval Documentation',
[author], 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 = [
(master_doc, 'NMREval', u'NMREval Documentation',
author, 'NMREval', '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'
# If true, do not generate a @detailmenu in the "Top" node's menu.
#
# texinfo_no_detailmenu = False
# -- Options for Epub output ----------------------------------------------
# Bibliographic Dublin Core info.
epub_title = project
epub_author = author
epub_publisher = author
epub_copyright = copyright
# The basename for the epub file. It defaults to the project name.
# epub_basename = project
# The HTML theme for the epub output. Since the default themes are not
# optimized for small screen space, using the same theme for HTML and epub
# output is usually not wise. This defaults to 'epub', a theme designed to save
# visual space.
#
# epub_theme = 'epub'
# The language of the text. It defaults to the language option
# or 'en' if the language is not set.
#
# epub_language = ''
# The scheme of the identifier. Typical schemes are ISBN or URL.
# epub_scheme = ''
# The unique identifier of the text. This can be a ISBN number
# or the project homepage.
#
# epub_identifier = ''
# A unique identification for the text.
#
# epub_uid = ''
# A tuple containing the cover image and cover page html template filenames.
#
# epub_cover = ()
# A sequence of (type, uri, title) tuples for the guide element of content.opf.
#
# epub_guide = ()
# HTML files that should be inserted before the pages created by sphinx.
# The format is a list of tuples containing the path and title.
#
# epub_pre_files = []
# HTML files that should be inserted after the pages created by sphinx.
# The format is a list of tuples containing the path and title.
#
# epub_post_files = []
# A list of files that should not be packed into the epub file.
epub_exclude_files = ['search.html']
# The depth of the table of contents in toc.ncx.
#
# epub_tocdepth = 3
# Allow duplicate toc entries.
#
# epub_tocdup = True
# Choose between 'default' and 'includehidden'.
#
# epub_tocscope = 'default'
# Fix unsupported image types using the Pillow.
#
# epub_fix_images = False
# Scale large images.
#
# epub_max_image_width = 0
# How to display URL addresses: 'footnote', 'no', or 'inline'.
#
# epub_show_urls = 'inline'
# If false, no index is generated.
#
# epub_use_index = True

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:orphan:
.. _sphx_glr_gallery:
.. examples-index:
.. _gallery:
========
Examples
========
This page contains example plots. Click on any image to see the full image and source code.
.. raw:: html
<div class="sphx-glr-clear"></div>
.. _sphx_glr_gallery_distribution:
.. _distribution_examples:
.. _distribution-examples-index:
Distribution of correlation times
=================================
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Example for KWW distributions">
.. only:: html
.. figure:: /gallery/distribution/images/thumb/sphx_glr_plot_KWW_thumb.png
:alt: Kohlrausch-Williams-Watts
:ref:`sphx_glr_gallery_distribution_plot_KWW.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/gallery/distribution/plot_KWW
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Example for Cole-Cole distributions">
.. only:: html
.. figure:: /gallery/distribution/images/thumb/sphx_glr_plot_ColeCole_thumb.png
:alt: Cole-Cole
:ref:`sphx_glr_gallery_distribution_plot_ColeCole.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/gallery/distribution/plot_ColeCole
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Example for Log-Gaussian distributions">
.. only:: html
.. figure:: /gallery/distribution/images/thumb/sphx_glr_plot_LogGaussian_thumb.png
:alt: Log-Gaussian
:ref:`sphx_glr_gallery_distribution_plot_LogGaussian.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/gallery/distribution/plot_LogGaussian
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Example for Cole-Davidson distributions">
.. only:: html
.. figure:: /gallery/distribution/images/thumb/sphx_glr_plot_ColeDavidson_thumb.png
:alt: Cole-Davidson
:ref:`sphx_glr_gallery_distribution_plot_ColeDavidson.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/gallery/distribution/plot_ColeDavidson
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Example for Havriliak-Negami distributions">
.. only:: html
.. figure:: /gallery/distribution/images/thumb/sphx_glr_plot_HavriliakNegami_thumb.png
:alt: Havriliak-Negami
:ref:`sphx_glr_gallery_distribution_plot_HavriliakNegami.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/gallery/distribution/plot_HavriliakNegami
.. raw:: html
<div class="sphx-glr-clear"></div>
.. _sphx_glr_gallery_nmr:
.. _nmr_examples:
.. _nmr-examples-index:
NMR specifics
=============
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Example for">
.. only:: html
.. figure:: /gallery/nmr/images/thumb/sphx_glr_plot_RelaxationEvaluation_thumb.png
:alt: Spin-lattice relaxation
:ref:`sphx_glr_gallery_nmr_plot_RelaxationEvaluation.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/gallery/nmr/plot_RelaxationEvaluation
.. raw:: html
<div class="sphx-glr-clear"></div>

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.. NMREval documentation master file, created by
sphinx-quickstart on Sun Feb 20 17:26:03 2022.
You can adapt this file completely to your liking, but it should at least
contain the root `toctree` directive.
#####################
NMREval documentation
#####################
.. toctree::
:maxdepth: 1
user_guide/index
gallery/index
api/index
Indices and tables
==================
* :ref:`genindex`
* :ref:`modindex`
* :ref:`search`

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=============
NMR specifics
=============
.. toctree::
:maxdepth: 2
pake

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.. _nmr.pake:
Wideline spectra
^^^^^^^^^^^^^^^^
Calculation of spectra
----------------------
In general, time signals are calculated by integration of all orientations (see also :ref:`list.orienations`):
.. math::
g(t) = \int f[\omega_\text{int}(\theta, \phi)t]\sin\theta\,\mathrm{d}\theta\,\mathrm{d}\phi
with :math:`f(\theta, \phi, t) = \cos[\omega_\text{int}(\theta, \phi) t]` or :math:`\exp[i\omega_\text{int}(\theta) t]` and fourier transform for a spectrum.
However, summation over :math:`\theta`, :math:`\phi`, and calculating :math:`f(\theta, \phi, t)` for each orientation is time consuming.
Alternatively, if the orientations are equidistant in :math:`\cos\theta`, one can get to the spectrum directly by creating a histogram of :math:`\omega_\text{int}(\theta, \phi)`, thus circumventing a lot of calculations.
De-Paked spectra
----------------
A superposition of different Pake spectra complicates the evaluation of relaxation times or similar.
The idea is to deconvolute these broad spectra into one line corresponding to relative orientation :math:`\theta = 0` [mccabe97]_.
For :math:`\omega_\text{int}(\theta) \propto (3\cos^2\theta -1)/2 = P_2(\cos\theta)`, the property :math:`\omega_\text{int}(\theta) = \omega_\text{int}(0) \omega_\text{int}(\theta)` is used to write
.. math::
g(t) = \int_0^{1} f[0, \omega_\text{int}(\theta)t]\,\mathrm{d}\cos\theta.
This way, the integration is not over orientations at one time :math:`t`, but over times at one orientation 0.
After some integrations, rearrangenments, and substitutions, a spectrum can be calculated by
.. math::
F(-2\omega) = \sqrt{\frac{3|\omega |}{2\pi}}(1\pm i) \text{FT}[g(t)\sqrt{t}]
with :math:`1+i` for :math:`\omega > 0` and :math:`1-i` for :math:`\omega > 0`.
.. figure:: depake.png
:scale: 50 %
.. [mccabe97] M.A. McCabe, S.R. Wassail: Rapid deconvolution of NMR powder spectra by weighted fast Fourier transformation, Solid State Nuclear Magnetic Resonance (1997). https://doi.org/10.1016/S0926-2040(97)00024-6

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.. _user_guide.fit:
============
Fitting data
============
.. image:: ../_static/fit_dialog.png
:scale: 80%
:align: center
The picture gives an example of dialog to setup and start fits.
First, there is the possibiity to fit different functions, called models to differentiate from the functions inside each
model, to different data simultaneously.
In the given example, two models were would be used during fit:
test1 and test3 use the default model, in this case model a,
while test2 uses model b.
In the middle column, the functions of model a are currently given in a tree structure:
It is comprised of three functions: a constant, a sine curve, which is a child of the constant, and free diffusion.
Functions can be dragged by mouse to each position, including a child position, and it is possible to switch between the
four basic arithmetic operations (+, -, \*, /) by striking the corresponding key.
Function at the same level, e.g., constant and free diffusion, are evaluated in the given order.
Children of a function take precedence over the following functions.
This means for the given example, that model a is something like
.. math::
f(x) = [\text{constant} / \text{sine}] + \text{diffusion}
It is possible to skip functions by de-selecting it.
This choice alse affects children, even if they are selected.
The right column gives access to the parameter of selected function, in this case of the free diffusion function.
Here, the parameter :math:`M_0` is linked to the parameter :math:`C` of another constant function of model b
(identifiable by the number behind the name).
Linkage links not only parameter between function but all settings, e.g., if :math:`C` is fixed, :math:`M_0` is fixed.
Some parameters like gradient :math:`g` are predefined as fixed parameters and are lacking any options besides their value.
Upper and lower bounds may be given.
If one or two of the bounds are not given, this parameter is unbounded on the respective side.
If a parameter has one entry, this value is initial parameter for all data sets.
If the number of entries is greater than the number of data sets, the first :math:`n` values are used.
Here, test1 uses 1 as parameter for :math:`t_{ev}` and test3 uses 3.
If the number of entries is less than the number of data sets, the last value will be used for each additional set.

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==========
User Guide
==========
.. toctree::
:maxdepth: 2
read
fit
shift_scale

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.. _user_guide.read:
*************
Reading files
*************
Supported filetypes are
* Text files,
* DAMARIS HDF5 files,
* Grace images.
* HP alpha-analyzer EPS files
* NTNMR .tnt files
DAMARIS HDF files
=================
After scanning the selected file the program shows a list of the available data.

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.. _usage.shift_scale:
Moving and scaling
^^^^^^^^^^^^^^^^^^
Values are always used and displayed in scientific notation *x.yyyyez* where x is a signed single digit larger than 0.
The relative stepsize (by default 0.0001) increases or decreases is always of the same magnitude as the current value, e.g.,
1.2345e0 changes by 0.0001, but 1.2345e20 changes by 0.0001e20.
If the step results in a new order of magnitude the value will be adjusted accordingly, i.e., a step from 9.9999e1 to 10.0000e1 will become 1.0000e2.
.. note::
This behaviour leads almost always to values different from zero when using the arrow buttons. Please enter it directly to get a value of zero.
Boxes :guilabel:`log x` and :guilabel:`log y` change the respective axis from a linear to logarithmic scaling and vice versa.
Every selected set will be recalculated according to :math:`new = scale \cdot old + offset`.