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.gitignore 0 → 100644
View file @ fc586165
# Taken and adapted from: https://git.rwth-aachen.de/lamBOO/fenicsR13
# ignore VSCode's helper files
*.vscode
*.ipynb_checkpoints
# ignore python cache
*__pycache__*
*.__pycache__
*test/__pycache__
*fxdgm/__pycache__
*examples/__pycache__
*examples/ReproduableCode/__pycache__
*.pytest_cache*
# ignore Sphinx documentation output
*docs/build
# Ignore coverage files
.coverage
htmlcov
# Ignore pip folder
*egg-info/*
# Ignore venv files
venv
# Ignore .eggs
*.eggs
*eggs*
*.egg-info
# Ignore build files
build
# Ignore lyx temp files
*.lyx~
*.lyx#
# Ignore .DS_Store
.DS_Store
\ No newline at end of file
.gitlab-ci.yml 0 → 100644
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image: docker:20.10.16 # Define the Docker image
stages: # Define stages in the pipeline
- prepare
- build
- test
- deploy
prepare:
stage: prepare
tags:
- docker
services:
- docker:20.10.16-dind
before_script:
- echo "$CI_REGISTRY_PASSWORD" | docker login $CI_REGISTRY -u $CI_REGISTRY_USER --password-stdin
script:
- docker pull $CI_REGISTRY_IMAGE:latest || true
- docker build
--cache-from $CI_REGISTRY_IMAGE:latest
--tag $CI_REGISTRY_IMAGE:latest .
- docker push $CI_REGISTRY_IMAGE:latest
# Job to build documentation
build-docs:
stage: build
dependencies:
- prepare
image:
name: $CI_REGISTRY_IMAGE:latest
entrypoint: [""]
tags:
- docker
script:
- sphinx-build docs/source docs/build # Build the documentation
artifacts:
paths:
- docs/build # Save the build output for later stages
expire_in: 12 month # Optional: Set how long to keep the artifacts (default: 30 days)
# Job to test the implementation
test:
stage: test
dependencies:
- prepare
image:
name: $CI_REGISTRY_IMAGE:latest
entrypoint: [""]
tags:
- docker
script:
- pytest --cov=fxdgm --cov-report=term --cov-report=html tests/ # Run the tests and store coverage
artifacts:
paths:
- htmlcov # Save the coverage report
expire_in: 12 month # Optional: Set how long to keep the artifacts (default: 30 days)
coverage: '/^TOTAL.*\s+(\d+\%)$/'
# Job to deploy documentation to GitLab Pages
pages:
stage: deploy
dependencies:
- build-docs
- test
image:
name: $CI_REGISTRY_IMAGE:latest
entrypoint: [""]
tags:
- docker
script:
- mv docs/build public # Move the build output to the "public" directory
- mv htmlcov public # Move the coverage report to the "public" directory
artifacts:
paths:
- public # Files in the "public" folder will be deployed to GitLab Pages
only:
- main # Only deploy if the changes are in the default branch
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{
"cSpell.enableFiletypes": [
"!markdown",
"!python"
],
"python.analysis.typeCheckingMode": "off"
}
\ No newline at end of file
Dockerfile 0 → 100644
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# Start with a base image that includes conda
FROM continuumio/miniconda3:latest
# Set environment variables
ENV CONDA_DEFAULT_ENV=base
ENV PATH /opt/conda/envs/${CONDA_DEFAULT_ENV}/bin:$PATH
ENV HOME /root
# Create the environment and install packages
# FEniCSx backend + documentation and testing dependencies
# sqlite for coverage, it necessary
RUN conda install -n ${CONDA_DEFAULT_ENV} -c conda-forge fenics-dolfinx=0.8.0 mpich=4.2.1 pyvista=0.43.10 gcc=12.4.0 sphinx=7.3.7 myst-parser=4.0.0 sphinx-copybutton=0.5.2 sphinx-rtd-theme=3.0.1 pytest=8.3.3 pytest-cov=6.0.0 sqlite=3.41.2 -y
WORKDIR /root
ADD . /fxdgm
RUN pip install --editable /fxdgm/.
CMD ["bash"]
README.md
View file @ fc586165
# Reproducibility Repository for: Numerical Treatment of a Thermodynamically Consistent Electrolyte Model (B.Sc. Thesis - Jan Habscheid)
# fxdgm
## Thesis
[![Pipeline Status](https://git.rwth-aachen.de/janhab/fxdgm/badges/main/pipeline.svg)](https://git.rwth-aachen.de/janhab/fxdgm/pipelines)
[![Documentation](https://img.shields.io/badge/docs-latest-blue)](https://janhab.pages.rwth-aachen.de/fxdgm/)
[![coverage report](https://git.rwth-aachen.de/JanHab/fxdgm/badges/main/coverage.svg)](https://janhab.pages.rwth-aachen.de/fxdgm/htmlcov)
[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.13645296.svg)](https://doi.org/10.5281/zenodo.13645296)
[![GitLab Version](https://img.shields.io/badge/version-1.0-blue.svg)](https://git.rwth-aachen.de/janhab/fxdgm/-/tags)
[![License](https://img.shields.io/badge/license-GPLv3-blue)](https://git.rwth-aachen.de/janhab/fxdgm/-/blob/main/LICENSE?ref_type=heads)
This repository contains the code to reproduce the results presented in the bachelor thesis: Numerical Treatment of a Thermodynamically Consistent Electrolyte Model
Find the thesis at:
- Insert link to thesis
*A nonlinear, mixed finite element solver for the DGM electrolyte model*
### Abstract
<img src="media/logo.svg" alt="Logo" width="200" />
Batteries play a crucial role in the energy transition. The production of green energy depends on external factors. Storing energy in batteries is necessary to access green energy at any time.
## Physical Background
Better optimized batteries are essential for the future. Lifetime, loading time, and energy loss are just some aspects that must be improved to prepare for a greener future. Numerical simulations are crucial to understanding and optimizing batteries' behavior. Those simulations enable researchers to test many different materials without considerable additional expenses to, for example, find the best combination of anions and cations.
The system, which is solved, refers to the original work, [Overcoming the shortcomings of the Nernst–Planck model](https://doi.org/10.1039/C3CP44390F), from Wolfgang Dreyer, Clemens Guhlke and Rüdiger Müller in 2013.\
This paper introduces a new, generalized Nernst-Planck model, which is thermodynamically consistent, as the classical Nernst-Planck model fails to predict the correct ion-concentrations close to the boundaries.
The open-source package [FEniCSx](https://fenicsproject.org/) was used for the numerical implementation.
The classical Nernst-Planck model for the ion transport in an electrolyte fails to predict the correct concentration in the boundaries of the electrolyte. This work will present and analyze a thermodynamically consistent electrolyte model with dimensionless units under isothermal conditions. A simplified version of the system for the one-dimensional equilibrium of an ideal mixture and the incompressible limit will be considered. The numerical implementation of the model with the open-source software FEniCSx will be discussed. Furthermore, the influence of different boundary conditions, material parameters, solvation, and compressibility on the electric potential, pressure, and ion concentration will be investigated, and the model will be compared with the classical Nernst-Planck model. Examples of the double layer capacity and electrolytic diode will be considered.
## Main Features
- Solving steady [DGM](https://doi.org/10.1039/C3CP44390F) model in dimensionless units
- for a ternary electrolyte (cations, anions, neutral solvent)
- for an electrolyte of N arbitrary species
- Local mesh refinement for one-dimensional domains towards the electrode
- [Testcases](https://git.rwth-aachen.de/JanHab/fxdgm/-/tree/main/tests?ref_type=heads) for the one-dimensional case or the two-dimensional electrolytic diode
- Solutions for the [Double-Layer Capacity](https://git.rwth-aachen.de/JanHab/fxdgm/-/tree/main/examples/ReproducableCode/DoubleLayerCapacity?ref_type=heads), both numerical and analytical
- [Numerical Convergence](https://git.rwth-aachen.de/JanHab/fxdgm/-/blob/main/examples/ReproducableCode/Convergence.py?ref_type=heads) with relaxation parameter for newtons method
- Two-dimensional testcases for the example of the [electrolytic diode](https://git.rwth-aachen.de/JanHab/fxdgm/-/tree/main/examples/ReproducableCode/ElectrolyticDiode?ref_type=heads)
## Installation
As a numerical solver, mainly FEniCSx was used and installed via conda.
All the calculations were performed on a Linux machine. According to the documentation, everything should work well on macOS, but this was not tested. FEniCSx offers some beta versions for Windows support, but it is recommended to use WSL2 instead.
Install the fxdgm package with pip to get all the implemented functions.
``` bash
pip install git+https://git.rwth-aachen.de/JanHab/fxdgm
```
conda create --name fenicsx-env python=3.12.3 -y
conda activate fenicsx-env
conda install -c conda-forge fenics-dolfinx=0.8.0 mpich=4.2.1 pyvista=0.43.10 matplotlib=3.8.4 numpy=1.26.4 scipy=1.14.0 -y
For the backend, FEniCSx was used and installed via conda.
The necessery dependencies can be installed with
``` bash
conda install -c conda-forge fenics-dolfinx=0.8.0 mpich=4.2.1 pyvista=0.43.10 gcc=12.4.0 -y
```
### Alternative installation
It is also possible to install the FEniCSx backend in a different manner. See the [FEniCSx documentation](https://fenicsproject.org/download/) for this.
Although this installation method should work, it was not tested for the purpose of this package.
Use the "environment.yml" file to install all necessary environments
### macOS installation using Docker
The docker installation method works for linux too. It was not tested on windows.
``` bash
docker compose build
docker compose run solver
```
conda env create -f environment.yml
### Testing
For testing clone the repository, install pytest and run the tests with
``` bash
pip install pytest==8.3.3
python -m pytest
```
## Usage
Find the visualizations from the thesis and some extra calculations in the "examples" folder.
In the subfolder "ReproducableCode" is the code, to execute the calculations with some first visualizations.
The subfolder "Data" stores the data for all the simulations in a *.npz file, which can be read with numpy `np.load(file.npz)`.
"Visualizations" creates the necessary figures from the thesis and stores them in *.svg format in "Figures".
In "src" there are the generic FEniCSx implementations, that were used to calculate the examples.
Find the package source code in [fxdgm](https://git.rwth-aachen.de/JanHab/fxdgm/-/tree/main/fxdgm?ref_type=heads).
This implements the nonlinear electrolyte model.
Furthermore, some physical examples are provided in the [examples](https://git.rwth-aachen.de/JanHab/fxdgm/-/tree/main/examples?ref_type=heads).
In the subfolder [ReproducableCode](https://git.rwth-aachen.de/JanHab/fxdgm/-/tree/main/examples/ReproducableCode?ref_type=heads) is the code, to execute the calculations with some first visualizations.
The subfolder [Data](https://git.rwth-aachen.de/JanHab/fxdgm/-/tree/main/examples/Data?ref_type=heads) stores the data for all the simulations in a *.npz file, which can be read with numpy `np.load(file.npz)`.
[Visualizations](https://git.rwth-aachen.de/JanHab/fxdgm/-/tree/main/examples/Visualizations?ref_type=heads) creates the necessary figures from the thesis and stores them either in *.svg or *.pdf format in "Figures".
## Contact
**Author**
### Author
- Jan Habscheid
- Jan.Habscheid@rwth-aachen.de
- [Jan.Habscheid@rwth-aachen.de](mailto:Jan.Habscheid@rwth-aachen.de)
**Supervisor**
- Dr. Lambert Theissen
- ACoM - Applied and Computational Mathematics
- RWTH Aachen University
- theisen@acom.rwth-aachen.de
### Supervisor
**Supervisor**
- Dr. Lambert Theisen
- ACoM - Applied and Computational Mathematics
- RWTH Aachen University
- [theisen@acom.rwth-aachen.de](mailto:theisen@acom.rwth-aachen.de)
- Prof. Dr. Manuel Torrilhon
- ACoM - Applied and Computational Mathematics
- RWTH Aachen University
- mt@acom.rwth-aachen.de
\ No newline at end of file
- ACoM - Applied and Computational Mathematics
- RWTH Aachen University
- [mt@acom.rwth-aachen.de](mailto:mt@acom.rwth-aachen.de)
docker-compose.yml 0 → 100644
View file @ fc586165
services:
solver:
build:
context: .
dockerfile: Dockerfile
volumes:
- .:/root/solver
stdin_open: true # Equivalent to -i for interactive mode
tty: true # Equivalent to -t for a terminal interface
command: ["/bin/bash"]
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# Sphinx build info version 1
# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
config: 37452643af0092cac3a6d6c07452aeac
tags: 645f666f9bcd5a90fca523b33c5a78b7
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Example
=======
| In this example, we are going to solve the thermodynamically consistent electrolyte model for a incompressible, ternary electrolyte, as it is done in "examples/ReproducableCode/TernaryElectrolyte.py"
| The code will work if executed in the examples/ReproducableCode folder, as the TernaryElectrolyte.py file is located in the same folder
Import FEniCSx implementation and necessary libraries
-----------------------------------------------------
.. code-block:: python
import sys
import os
src_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), '../..', 'src')
sys.path.insert(0, src_path)
from Eq04 import solve_System_4eq
del sys.path[0]
import matplotlib.pyplot as plt
import numpy as np
Define parameters and boundary conditions
-----------------------------------------
.. code-block:: python
phi_left = 8.0
phi_right = 0.0
p_right = 0.0
y_A_R = 1/3
y_C_R = 1/3
z_A = -1.0
z_C = 1.0
K = 'incompressible'
Lambda2 = 8.553e-6
a2 = 7.5412e-4
Define mesh and solver settings
-------------------------------
.. code-block:: python
number_cells = 1024
refinement_style = 'log'
rtol = 1e-8
Solve the system
----------------
.. code-block:: python
y_A, y_C, phi, p, x = solve_System_4eq(phi_left, phi_right, p_right, z_A, z_C, y_A_R, y_C_R, K, Lambda2, a2, number_cells, relax_param=0.05, x0=0, x1=1, refinement_style='hard_log', return_type='Vector', max_iter=1_000, rtol=rtol)
Visualize the results
---------------------
.. code-block:: python
plt.figure()
plt.plot(x, phi)
plt.xlabel('x [-]')
plt.ylabel('$\\varphi$ [-]')
plt.xlim(0,0.05)
plt.grid()
plt.show()
plt.figure()
plt.plot(x, p)
plt.xlabel('x [-]')
plt.ylabel('$p$ [-]')
plt.xlim(0,0.05)
plt.grid()
plt.show()
plt.figure()
plt.plot(x, y_A, label='$y_A$')
plt.plot(x, y_C, label='$y_C$')
plt.plot(x, 1 - y_A - y_C, label='$y_S$')
plt.xlabel('x [-]')
plt.ylabel('$y_\\alpha$ [-]')
plt.xlim(0,0.05)
plt.grid()
plt.legend()
plt.show()
The electric potential
^^^^^^^^^^^^^^^^^^^^^^^
.. image:: Figures/TernaryPotential.svg
:width: 600px
The pressure
^^^^^^^^^^^^^
.. image:: Figures/TernaryPressure.svg
:width: 600px
The atomic fractions
^^^^^^^^^^^^^^^^^^^^^
.. image:: Figures/TernaryConcentrations.svg
:width: 600px
\ No newline at end of file
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.. Reproducibility Repository for: Numerical Treatment of a Thermodynamically Consistent Electrolyte Model documentation master file, created by
sphinx-quickstart on Tue Sep 3 10:16:31 2024.
You can adapt this file completely to your liking, but it should at least
contain the root `toctree` directive.
Reproducibility Repository for: Numerical Treatment of a Thermodynamically Consistent Electrolyte Model documentation
=====================================================================================================================
.. admonition:: \ \
This python package has the purpose to make the implementation and the examples from the bachelor thesis "Numerical Treatment of a Thermodynamically Consistent Electrolyte Model" reproducible. The code is written in Python and uses the finite element library FEniCSx. The code is available at: ToDo Add DOI
Thesis
======
| This repository contains the code to reproduce the results presented in the bachelor thesis: Numerical Treatment of a Thermodynamically Consistent Electrolyte Model
| Find the thesis at:
- Insert link to thesis
Abstract
========
| Batteries play a crucial role in the energy transition. The production of green energy depends on external factors. Storing energy in batteries is necessary to access green energy at any time.
| Better optimized batteries are essential for the future. Lifetime, loading time, and energy loss are just some aspects that must be improved to prepare for a greener future. Numerical simulations are crucial to understanding and optimizing batteries' behavior. Those simulations enable researchers to test many different materials without considerable additional expenses to, for example, find the best combination of anions and cations.
| The classical Nernst-Planck model for the ion transport in an electrolyte fails to predict the correct concentration in the boundaries of the electrolyte. This work will present and analyze a thermodynamically consistent electrolyte model with dimensionless units under isothermal conditions. A simplified version of the system for the one-dimensional equilibrium of an ideal mixture and the incompressible limit will be considered. The numerical implementation of the model with the open-source software FEniCSx will be discussed. Furthermore, the influence of different boundary conditions, material parameters, solvation, and compressibility on the electric potential, pressure, and ion concentration will be investigated, and the model will be compared with the classical Nernst-Planck model. Examples of the double layer capacity and electrolytic diode will be considered.
Installation
============
| As a numerical solver, mainly FEniCSx was used and installed via conda.
| All the calculations were performed on a Linux machine. According to the documentation, everything should work well on macOS, but this was not tested. FEniCSx offers some beta versions for Windows support, but it is recommended to use WSL2 instead.
.. code-block::
conda create --name fenicsx-env python=3.12.3 -y
conda activate fenicsx-env
conda install -c conda-forge fenics-dolfinx=0.8.0 mpich=4.2.1 pyvista=0.43.10 matplotlib=3.8.4 numpy=1.26.4 scipy=1.14.0 -y
Alternative installation
========================
| Use the "environment.yml" file to install all necessary environments
.. code-block::
conda env create -f environment.yml
Usage
=====
| Find the visualizations from the thesis and some extra calculations in the "examples" folder.
| In the subfolder "ReproducableCode" is the code, to execute the calculations with some first visualizations.
| The subfolder "Data" stores the data for all the simulations in a ".npz" file, which can be read with numpy `np.load(file.npz)`. "Visualizations" creates the necessary figures from the thesis and stores them in ".svg" format in "Figures".
| In "src" there are the generic FEniCSx implementations, that were used to calculate the examples.
Contact
=======
**Author**
- Jan Habscheid
- Jan.Habscheid@rwth-aachen.de
**Supervisor**
- Dr. Lambert Theissen
- ACoM - Applied and Computational Mathematics
- RWTH Aachen University
- theisen@acom.rwth-aachen.de
**Supervisor**
- Prof. Dr. Manuel Torrilhon
- ACoM - Applied and Computational Mathematics
- RWTH Aachen University
- mt@acom.rwth-aachen.de
.. toctree::
src
example
:maxdepth: 2
:caption: Numerical Treatment of a Thermodynamically Consistent Electrolyte Model:
:hidden:
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display: none;
}
div.related ul {
margin: 0;
padding: 0 0 0 10px;
list-style: none;
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div.related li {
display: inline;
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div.related li.right {
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margin-right: 5px;
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/* -- sidebar --------------------------------------------------------------- */
div.sphinxsidebarwrapper {
padding: 10px 5px 0 10px;
}
div.sphinxsidebar {
float: left;
width: 230px;
margin-left: -100%;
font-size: 90%;
word-wrap: break-word;
overflow-wrap : break-word;
}
div.sphinxsidebar ul {
list-style: none;
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div.sphinxsidebar ul ul,
div.sphinxsidebar ul.want-points {
margin-left: 20px;
list-style: square;
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div.sphinxsidebar ul ul {
margin-top: 0;
margin-bottom: 0;
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div.sphinxsidebar form {
margin-top: 10px;
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div.sphinxsidebar input {
border: 1px solid #98dbcc;
font-family: sans-serif;
font-size: 1em;
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div.sphinxsidebar #searchbox form.search {
overflow: hidden;
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div.sphinxsidebar #searchbox input[type="text"] {
float: left;
width: 80%;
padding: 0.25em;
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div.sphinxsidebar #searchbox input[type="submit"] {
float: left;
width: 20%;
border-left: none;
padding: 0.25em;
box-sizing: border-box;
}
img {
border: 0;
max-width: 100%;
}
/* -- search page ----------------------------------------------------------- */
ul.search {
margin: 10px 0 0 20px;
padding: 0;
}
ul.search li {
padding: 5px 0 5px 20px;
background-image: url(file.png);
background-repeat: no-repeat;
background-position: 0 7px;
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ul.search li a {
font-weight: bold;
}
ul.search li p.context {
color: #888;
margin: 2px 0 0 30px;
text-align: left;
}
ul.keywordmatches li.goodmatch a {
font-weight: bold;
}
/* -- index page ------------------------------------------------------------ */
table.contentstable {
width: 90%;
margin-left: auto;
margin-right: auto;
}
table.contentstable p.biglink {
line-height: 150%;
}
a.biglink {
font-size: 1.3em;
}
span.linkdescr {
font-style: italic;
padding-top: 5px;
font-size: 90%;
}
/* -- general index --------------------------------------------------------- */
table.indextable {
width: 100%;
}
table.indextable td {
text-align: left;
vertical-align: top;
}
table.indextable ul {
margin-top: 0;
margin-bottom: 0;
list-style-type: none;
}
table.indextable > tbody > tr > td > ul {
padding-left: 0em;
}
table.indextable tr.pcap {
height: 10px;
}
table.indextable tr.cap {
margin-top: 10px;
background-color: #f2f2f2;
}
img.toggler {
margin-right: 3px;
margin-top: 3px;
cursor: pointer;
}
div.modindex-jumpbox {
border-top: 1px solid #ddd;
border-bottom: 1px solid #ddd;
margin: 1em 0 1em 0;
padding: 0.4em;
}
div.genindex-jumpbox {
border-top: 1px solid #ddd;
border-bottom: 1px solid #ddd;
margin: 1em 0 1em 0;
padding: 0.4em;
}
/* -- domain module index --------------------------------------------------- */
table.modindextable td {
padding: 2px;
border-collapse: collapse;
}
/* -- general body styles --------------------------------------------------- */
div.body {
min-width: 360px;
max-width: 800px;
}
div.body p, div.body dd, div.body li, div.body blockquote {
-moz-hyphens: auto;
-ms-hyphens: auto;
-webkit-hyphens: auto;
hyphens: auto;
}
a.headerlink {
visibility: hidden;
}
a:visited {
color: #551A8B;
}
h1:hover > a.headerlink,
h2:hover > a.headerlink,
h3:hover > a.headerlink,
h4:hover > a.headerlink,
h5:hover > a.headerlink,
h6:hover > a.headerlink,
dt:hover > a.headerlink,
caption:hover > a.headerlink,
p.caption:hover > a.headerlink,
div.code-block-caption:hover > a.headerlink {
visibility: visible;
}
div.body p.caption {
text-align: inherit;
}
div.body td {
text-align: left;
}
.first {
margin-top: 0 !important;
}
p.rubric {
margin-top: 30px;
font-weight: bold;
}
img.align-left, figure.align-left, .figure.align-left, object.align-left {
clear: left;
float: left;
margin-right: 1em;
}
img.align-right, figure.align-right, .figure.align-right, object.align-right {
clear: right;
float: right;
margin-left: 1em;
}
img.align-center, figure.align-center, .figure.align-center, object.align-center {
display: block;
margin-left: auto;
margin-right: auto;
}
img.align-default, figure.align-default, .figure.align-default {
display: block;
margin-left: auto;
margin-right: auto;
}
.align-left {
text-align: left;
}
.align-center {
text-align: center;
}
.align-default {
text-align: center;
}
.align-right {
text-align: right;
}
/* -- sidebars -------------------------------------------------------------- */
div.sidebar,
aside.sidebar {
margin: 0 0 0.5em 1em;
border: 1px solid #ddb;
padding: 7px;
background-color: #ffe;
width: 40%;
float: right;
clear: right;
overflow-x: auto;
}
p.sidebar-title {
font-weight: bold;
}
nav.contents,
aside.topic,
div.admonition, div.topic, blockquote {
clear: left;
}
/* -- topics ---------------------------------------------------------------- */
nav.contents,
aside.topic,
div.topic {
border: 1px solid #ccc;
padding: 7px;
margin: 10px 0 10px 0;
}
p.topic-title {
font-size: 1.1em;
font-weight: bold;
margin-top: 10px;
}
/* -- admonitions ----------------------------------------------------------- */
div.admonition {
margin-top: 10px;
margin-bottom: 10px;
padding: 7px;
}
div.admonition dt {
font-weight: bold;
}
p.admonition-title {
margin: 0px 10px 5px 0px;
font-weight: bold;
}
div.body p.centered {
text-align: center;
margin-top: 25px;
}
/* -- content of sidebars/topics/admonitions -------------------------------- */
div.sidebar > :last-child,
aside.sidebar > :last-child,
nav.contents > :last-child,
aside.topic > :last-child,
div.topic > :last-child,
div.admonition > :last-child {
margin-bottom: 0;
}
div.sidebar::after,
aside.sidebar::after,
nav.contents::after,
aside.topic::after,
div.topic::after,
div.admonition::after,
blockquote::after {
display: block;
content: '';
clear: both;
}
/* -- tables ---------------------------------------------------------------- */
table.docutils {
margin-top: 10px;
margin-bottom: 10px;
border: 0;
border-collapse: collapse;
}
table.align-center {
margin-left: auto;
margin-right: auto;
}
table.align-default {
margin-left: auto;
margin-right: auto;
}
table caption span.caption-number {
font-style: italic;
}
table caption span.caption-text {
}
table.docutils td, table.docutils th {
padding: 1px 8px 1px 5px;
border-top: 0;
border-left: 0;
border-right: 0;
border-bottom: 1px solid #aaa;
}
th {
text-align: left;
padding-right: 5px;
}
table.citation {
border-left: solid 1px gray;
margin-left: 1px;
}
table.citation td {
border-bottom: none;
}
th > :first-child,
td > :first-child {
margin-top: 0px;
}
th > :last-child,
td > :last-child {
margin-bottom: 0px;
}
/* -- figures --------------------------------------------------------------- */
div.figure, figure {
margin: 0.5em;
padding: 0.5em;
}
div.figure p.caption, figcaption {
padding: 0.3em;
}
div.figure p.caption span.caption-number,
figcaption span.caption-number {
font-style: italic;
}
div.figure p.caption span.caption-text,
figcaption span.caption-text {
}
/* -- field list styles ----------------------------------------------------- */
table.field-list td, table.field-list th {
border: 0 !important;
}
.field-list ul {
margin: 0;
padding-left: 1em;
}
.field-list p {
margin: 0;
}
.field-name {
-moz-hyphens: manual;
-ms-hyphens: manual;
-webkit-hyphens: manual;
hyphens: manual;
}
/* -- hlist styles ---------------------------------------------------------- */
table.hlist {
margin: 1em 0;
}
table.hlist td {
vertical-align: top;
}
/* -- object description styles --------------------------------------------- */
.sig {
font-family: 'Consolas', 'Menlo', 'DejaVu Sans Mono', 'Bitstream Vera Sans Mono', monospace;
}
.sig-name, code.descname {
background-color: transparent;
font-weight: bold;
}
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font-size: 1.1em;
}
code.descname {
font-size: 1.2em;
}
.sig-prename, code.descclassname {
background-color: transparent;
}
.optional {
font-size: 1.3em;
}
.sig-paren {
font-size: larger;
}
.sig-param.n {
font-style: italic;
}
/* C++ specific styling */
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.sig-inline.cpp-texpr {
font-family: unset;
}
.sig.c .k, .sig.c .kt,
.sig.cpp .k, .sig.cpp .kt {
color: #0033B3;
}
.sig.c .m,
.sig.cpp .m {
color: #1750EB;
}
.sig.c .s, .sig.c .sc,
.sig.cpp .s, .sig.cpp .sc {
color: #067D17;
}
/* -- other body styles ----------------------------------------------------- */
ol.arabic {
list-style: decimal;
}
ol.loweralpha {
list-style: lower-alpha;
}
ol.upperalpha {
list-style: upper-alpha;
}
ol.lowerroman {
list-style: lower-roman;
}
ol.upperroman {
list-style: upper-roman;
}
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:not(li) > ul > li:first-child > :first-child {
margin-top: 0px;
}
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:not(li) > ul > li:last-child > :last-child {
margin-bottom: 0px;
}
ol.simple ol p,
ol.simple ul p,
ul.simple ol p,
ul.simple ul p {
margin-top: 0;
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ol.simple > li:not(:first-child) > p,
ul.simple > li:not(:first-child) > p {
margin-top: 0;
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ol.simple p,
ul.simple p {
margin-bottom: 0;
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aside.footnote > span,
div.citation > span {
float: left;
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padding-right: 0.5em;
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margin-left: 2em;
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margin-left: 4em;
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margin-bottom: 0em;
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clear: both;
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grid-template-columns: fit-content(30%) auto;
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font-weight: bold;
word-break: break-word;
padding-left: 0.5em;
padding-right: 5px;
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dl.field-list > dd {
padding-left: 0.5em;
margin-top: 0em;
margin-left: 0em;
margin-bottom: 0em;
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dl {
margin-bottom: 15px;
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dd > :first-child {
margin-top: 0px;
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dd ul, dd table {
margin-bottom: 10px;
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dd {
margin-top: 3px;
margin-bottom: 10px;
margin-left: 30px;
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.sig dd {
margin-top: 0px;
margin-bottom: 0px;
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.sig dl {
margin-top: 0px;
margin-bottom: 0px;
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dl > dd:last-child,
dl > dd:last-child > :last-child {
margin-bottom: 0;
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dt:target, span.highlighted {
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rect.highlighted {
fill: #fbe54e;
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dl.glossary dt {
font-weight: bold;
font-size: 1.1em;
}
.versionmodified {
font-style: italic;
}
.system-message {
background-color: #fda;
padding: 5px;
border: 3px solid red;
}
.footnote:target {
background-color: #ffa;
}
.line-block {
display: block;
margin-top: 1em;
margin-bottom: 1em;
}
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margin-top: 0;
margin-bottom: 0;
margin-left: 1.5em;
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font-family: sans-serif;
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text-decoration: underline;
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font-style: oblique;
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.classifier:before {
font-style: normal;
margin: 0 0.5em;
content: ":";
display: inline-block;
}
abbr, acronym {
border-bottom: dotted 1px;
cursor: help;
}
.translated {
background-color: rgba(207, 255, 207, 0.2)
}
.untranslated {
background-color: rgba(255, 207, 207, 0.2)
}
/* -- code displays --------------------------------------------------------- */
pre {
overflow: auto;
overflow-y: hidden; /* fixes display issues on Chrome browsers */
}
pre, div[class*="highlight-"] {
clear: both;
}
span.pre {
-moz-hyphens: none;
-ms-hyphens: none;
-webkit-hyphens: none;
hyphens: none;
white-space: nowrap;
}
div[class*="highlight-"] {
margin: 1em 0;
}
td.linenos pre {
border: 0;
background-color: transparent;
color: #aaa;
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table.highlighttable {
display: block;
}
table.highlighttable tbody {
display: block;
}
table.highlighttable tr {
display: flex;
}
table.highlighttable td {
margin: 0;
padding: 0;
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table.highlighttable td.linenos {
padding-right: 0.5em;
}
table.highlighttable td.code {
flex: 1;
overflow: hidden;
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display: block;
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div.highlight pre,
table.highlighttable pre {
margin: 0;
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margin-top: 0;
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div.code-block-caption {
margin-top: 1em;
padding: 2px 5px;
font-size: small;
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div.code-block-caption code {
background-color: transparent;
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table.highlighttable td.linenos,
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div.highlight span.gp { /* gp: Generic.Prompt */
user-select: none;
-webkit-user-select: text; /* Safari fallback only */
-webkit-user-select: none; /* Chrome/Safari */
-moz-user-select: none; /* Firefox */
-ms-user-select: none; /* IE10+ */
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font-style: italic;
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div.code-block-caption span.caption-text {
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margin: 1em 0;
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background-color: transparent;
font-weight: bold;
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h1 code, h2 code, h3 code, h4 code, h5 code, h6 code {
background-color: transparent;
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float: right;
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float: right;
font-family: sans-serif;
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div.viewcode-block:target {
margin: -1px -10px;
padding: 0 10px;
}
/* -- math display ---------------------------------------------------------- */
img.math {
vertical-align: middle;
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div.body div.math p {
text-align: center;
}
span.eqno {
float: right;
}
span.eqno a.headerlink {
position: absolute;
z-index: 1;
}
div.math:hover a.headerlink {
visibility: visible;
}
/* -- printout stylesheet --------------------------------------------------- */
@media print {
div.document,
div.documentwrapper,
div.bodywrapper {
margin: 0 !important;
width: 100%;
}
div.sphinxsidebar,
div.related,
div.footer,
#top-link {
display: none;
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