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| \documentclass[11pt]{article} | ||
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| % 页面设置 | ||
| \usepackage[top=1cm, bottom=2cm, left=1cm, right=1cm]{geometry} | ||
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| % 中文支持 | ||
| \usepackage{ctex} | ||
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| % 数学包 | ||
| \usepackage{amsmath, amssymb, amsthm} | ||
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| % 算法包 | ||
| \usepackage[linesnumbered, ruled]{algorithm2e} | ||
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| \begin{document} | ||
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| \title{伪代码test} | ||
| \author{test} | ||
| \maketitle | ||
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| \begin{algorithm}[H] | ||
| \caption{Main Routine for Gaussian Elimination Solver} | ||
| \label{alg:main_routine} | ||
| \KwIn{Input File Path (string), \texttt{tol} (long double), \texttt{max\_iter} (int)} | ||
| \KwOut{Solutions (array)} | ||
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| \While{True}{ | ||
| \texttt{selected\_file} $\gets$ \textit{SelectInputFile}() \tcp*[r]{Select the input file} | ||
| \If{\texttt{selected\_file} is empty}{ | ||
| \textbf{exit} \tcp*[r]{Exit if no file is selected} | ||
| } | ||
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| \texttt{start\_time} $\gets$ \textit{StartTimer}() \tcp*[r]{Start the timer} | ||
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| \textit{InitMatrix}(\texttt{matrix}, \texttt{selected\_file}, \texttt{rows}, \texttt{cols}) \tcp*[r]{Initialize the matrix} | ||
| \textit{ShowEquations}(\texttt{matrix}, \texttt{rows}, \texttt{cols}) \tcp*[r]{Display the system of equations} | ||
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| \texttt{exchange\_count} $\gets$ \textit{GaussianElimination}(\texttt{matrix}, \texttt{rows}, \texttt{cols}) \tcp*[r]{Perform Gaussian elimination} | ||
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| \texttt{rank} $\gets$ \textit{DetermineRank}(\texttt{matrix}, \texttt{rows}, \texttt{cols}) \tcp*[r]{Determine the rank of the matrix} | ||
| \texttt{consistent} $\gets$ \textit{CheckConsistency}(\texttt{matrix}, \texttt{rows}, \texttt{cols}) \tcp*[r]{Check if the system is consistent} | ||
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| \If{not \texttt{consistent}}{ | ||
| \textit{DisplaySolution}("No solution") \tcp*[r]{Display no solution message} | ||
| } | ||
| \ElseIf{\texttt{rank} $<$ (\texttt{cols} $-$ 1)}{ | ||
| \textit{ShowGeneralSolution}(\texttt{matrix}, \texttt{rows}, \texttt{cols}, \texttt{rank}) \tcp*[r]{Display parameterized solution} | ||
| } | ||
| \Else{ | ||
| \texttt{solution} $\gets$ \textit{BackSubstitution}(\texttt{matrix}, \texttt{rows}, \texttt{cols}, \texttt{solution}) \tcp*[r]{Perform back substitution} | ||
| \If{\texttt{solvable}}{ | ||
| \textit{DisplaySolution}(\texttt{solution}) \tcp*[r]{Display the unique solution} | ||
| } | ||
| \Else{ | ||
| \textit{DisplaySolution}("No solution") \tcp*[r]{Display no solution if back substitution fails} | ||
| } | ||
| } | ||
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| \textit{StopTimer}(\texttt{start\_time}) \tcp*[r]{Stop the timer} | ||
| \texttt{choice} $\gets$ \textit{AskRunAgain}() \tcp*[r]{Ask if the user wants to run again} | ||
| \If{\texttt{choice} $\neq$ 'y' \textbf{and} \texttt{choice} $\neq$ 'Y'}{ | ||
| \textbf{break} \tcp*[r]{Exit loop if the choice is not 'y' or 'Y'} | ||
| } | ||
| } | ||
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| \textit{WaitForExit}() \tcp*[r]{Wait for program exit} | ||
| \end{algorithm} | ||
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| \begin{algorithm}[H] | ||
| \caption{Pivoting to Select the Maximum Element in a Column} | ||
| \label{alg:pivoting} | ||
| \KwIn{$\texttt{matrix}$ (Matrix), $\texttt{current\_row}$ (int), $\texttt{total\_rows}$ (int)} | ||
| \KwOut{$\texttt{imax}$ (int)} | ||
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| \texttt{imax} $\gets$ \texttt{current\_row}\; | ||
| \texttt{max\_val} $\gets$ $|\texttt{matrix}[\texttt{current\_row}][\texttt{current\_row}]|$\; | ||
| \For{$i \gets \texttt{current\_row} + 1$ \textbf{to} $\texttt{total\_rows} - 1$}{ | ||
| \texttt{val} $\gets$ $|\texttt{matrix}[i][\texttt{current\_row}]|$\; | ||
| \If{\texttt{val} $>$ \texttt{max\_val}}{ | ||
| \texttt{imax} $\gets$ $i$\; | ||
| \texttt{max\_val} $\gets$ \texttt{val}\; | ||
| } | ||
| } | ||
| \Return \texttt{imax}\; | ||
| \end{algorithm} | ||
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| \end{document} |
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Assignment_3/Problem_3/src/documenter_output/build/.documenter-siteinfo.json
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| {"documenter":{"julia_version":"1.10.5","generation_timestamp":"2024-10-09T13:20:21","documenter_version":"1.7.0"}} | ||
| {"documenter":{"julia_version":"1.10.5","generation_timestamp":"2024-10-11T16:23:08","documenter_version":"1.7.0"}} |
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| <!DOCTYPE html> | ||
| <html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · SchrödingerSolver Documentation</title><meta name="title" content="Home · SchrödingerSolver Documentation"/><meta property="og:title" content="Home · SchrödingerSolver Documentation"/><meta property="twitter:title" content="Home · SchrödingerSolver Documentation"/><meta name="description" content="Documentation for SchrödingerSolver Documentation."/><meta property="og:description" content="Documentation for SchrödingerSolver Documentation."/><meta property="twitter:description" content="Documentation for SchrödingerSolver Documentation."/><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link 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This module provides utilities to solve the 1D Schrödinger equation using Gaussian basis functions.</p><ul><li><a href="methods.html#Methods-Module">Methods Module</a></li><li><a href="utils.html#Utils-Module">Utils Module</a></li><li><a href="interaction.html#Interaction-Module">Interaction Module</a></li></ul></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="methods.html">Methods »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Wednesday 9 October 2024 13:20">Wednesday 9 October 2024</span>. 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| <html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · SchrödingerSolver Documentation</title><meta name="title" content="Home · SchrödingerSolver Documentation"/><meta property="og:title" content="Home · SchrödingerSolver Documentation"/><meta property="twitter:title" content="Home · SchrödingerSolver Documentation"/><meta name="description" content="Documentation for SchrödingerSolver Documentation."/><meta property="og:description" content="Documentation for SchrödingerSolver Documentation."/><meta property="twitter:description" content="Documentation for SchrödingerSolver Documentation."/><script data-outdated-warner src="assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link 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class="is-active"><a href="index.html">Home</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/bud-primordium/Fundamentals-of-Computational-Physics--Fall-2024" title="View the repository on GitHub"><span class="docs-icon fa-brands"></span><span class="docs-label is-hidden-touch">GitHub</span></a><a class="docs-navbar-link" href="https://github.com/bud-primordium/Fundamentals-of-Computational-Physics--Fall-2024/blob/main/Assignment_3/Problem_3/src/documenter_output/documenter_src/index.md" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="SchrödingerSolver-Documentation"><a 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This module provides utilities to solve the 1D Schrödinger equation using Gaussian basis functions.</p><ul><li><a href="methods.html#Methods-Module">Methods Module</a></li><li><a href="utils.html#Utils-Module">Utils Module</a></li><li><a href="interaction.html#Interaction-Module">Interaction Module</a></li></ul></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="methods.html">Methods »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Friday 11 October 2024 16:23">Friday 11 October 2024</span>. 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