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Documenter.jl
parent
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@ -14,4 +14,4 @@ julia> DataFrame(a=[1,2],b=[3,4])</code></pre><p>You should get an error or a
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BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
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DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
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MPI = "da04e1cc-30fd-572f-bb4f-1f8673147195"</code></pre><p>Copy the contents of previous code block into a file called <code>Project.toml</code> and place it in an empty folder named <code>newproject</code>. It is important that the file is named <code>Project.toml</code>. You can create a new folder from the REPL with</p><pre><code class="language-julia hljs">julia> mkdir("newproject")</code></pre><p>To install all the packages registered in this file you need to activate the folder containing your <code>Project.toml</code> file</p><pre><code class="language-julia hljs">(@v1.8) pkg> activate newproject</code></pre><p>and then <em>instantiating</em> it</p><pre><code class="language-julia hljs">(newproject) pkg> instantiate</code></pre><p>The instantiate command will download and install all listed packages and their dependencies in just one click.</p><h3 id="Getting-help-in-package-mode"><a class="docs-heading-anchor" href="#Getting-help-in-package-mode">Getting help in package mode</a><a id="Getting-help-in-package-mode-1"></a><a class="docs-heading-anchor-permalink" href="#Getting-help-in-package-mode" title="Permalink"></a></h3><p>You can get help about a particular package operator by writing <code>help</code> in front of it</p><pre><code class="language-julia hljs">(@v1.8) pkg> help activate</code></pre><p>You can get an overview of all package commands by typing <code>help</code> alone</p><pre><code class="language-julia hljs">(@v1.8) pkg> help</code></pre><h3 id="Package-operations-in-Julia-code"><a class="docs-heading-anchor" href="#Package-operations-in-Julia-code">Package operations in Julia code</a><a id="Package-operations-in-Julia-code-1"></a><a class="docs-heading-anchor-permalink" href="#Package-operations-in-Julia-code" title="Permalink"></a></h3><p>In some situations it is required to use package commands in Julia code, e.g., to automatize installation and deployment of Julia applications. This can be done using the <code>Pkg</code> package. For instance</p><pre><code class="language-julia hljs">julia> using Pkg
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julia> Pkg.status()</code></pre><p>is equivalent to calling <code>status</code> in package mode.</p><pre><code class="language-julia hljs">(@v1.8) pkg> status</code></pre><h2 id="Conclusion"><a class="docs-heading-anchor" href="#Conclusion">Conclusion</a><a id="Conclusion-1"></a><a class="docs-heading-anchor-permalink" href="#Conclusion" title="Permalink"></a></h2><p>We have learned the basics of how to work with Julia. If you want to further dig into the topics we have covered here, you can take a look at the following links:</p><ul><li><a href="https://docs.julialang.org/en/v1/manual/getting-started/">Julia Manual</a></li><li><a href="https://pkgdocs.julialang.org/v1/getting-started/">Package manager</a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../notebooks/julia_basics/">Julia Basics »</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Friday 18 August 2023 14:42">Friday 18 August 2023</span>. Using Julia version 1.9.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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julia> Pkg.status()</code></pre><p>is equivalent to calling <code>status</code> in package mode.</p><pre><code class="language-julia hljs">(@v1.8) pkg> status</code></pre><h2 id="Conclusion"><a class="docs-heading-anchor" href="#Conclusion">Conclusion</a><a id="Conclusion-1"></a><a class="docs-heading-anchor-permalink" href="#Conclusion" title="Permalink"></a></h2><p>We have learned the basics of how to work with Julia. If you want to further dig into the topics we have covered here, you can take a look at the following links:</p><ul><li><a href="https://docs.julialang.org/en/v1/manual/getting-started/">Julia Manual</a></li><li><a href="https://pkgdocs.julialang.org/v1/getting-started/">Package manager</a></li></ul></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../notebooks/julia_basics/">Julia Basics »</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 21 August 2023 10:01">Monday 21 August 2023</span>. Using Julia version 1.9.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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@ -7471,7 +7471,7 @@ a.anchor-link {
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</div>
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<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
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</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
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<h2 id="The-all-pairs-of-shortest-paths-(ASP)-problem">The all pairs of shortest paths (ASP) problem<a class="anchor-link" href="#The-all-pairs-of-shortest-paths-(ASP)-problem">¶</a></h2><p>Let us start by presenting the all pairs of shortest paths (ASP) problem and its solution with the <a href="https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm">Floyd–Warshall algorithm</a>.</p>
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<h2 id="The-All-Pairs-of-Shortest-Paths-(ASP)-problem">The All Pairs of Shortest Paths (ASP) problem<a class="anchor-link" href="#The-All-Pairs-of-Shortest-Paths-(ASP)-problem">¶</a></h2><p>Let us start by presenting the all pairs of shortest paths (ASP) problem and its solution with the <a href="https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm">Floyd–Warshall algorithm</a>.</p>
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<h3 id="Problem-statement">Problem statement<a class="anchor-link" href="#Problem-statement">¶</a></h3><ul>
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<li>Given a graph $G$ with a distance table $C$</li>
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<li>Compute the length of the shortest path between any two nodes in $G$</li>
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@ -7504,12 +7504,12 @@ a.anchor-link {
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</div>
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</div>
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</div>
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</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=4fe447c5">
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</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell" id="cell-id=4fe447c5">
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<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
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<div class="jp-InputArea jp-Cell-inputArea">
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<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div>
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<div class="jp-InputPrompt jp-InputArea-prompt">In [1]:</div>
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<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
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<div class="cm-editor cm-s-jupyter">
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<div class="highlight hl-julia"><pre><span></span><span class="k">function</span><span class="w"> </span><span class="n">floyd!</span><span class="p">(</span><span class="n">C</span><span class="p">)</span>
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<div class="jp-Cell-outputWrapper">
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<div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser">
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<div class="jp-OutputArea jp-Cell-outputArea">
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<div class="jp-OutputArea-child jp-OutputArea-executeResult">
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<div class="jp-OutputPrompt jp-OutputArea-prompt">Out[1]:</div>
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<div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain" tabindex="0">
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<pre>floyd! (generic function with 1 method)</pre>
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</div>
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</div>
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</div>
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</div>
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</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=860e537c">
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</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell" id="cell-id=860e537c">
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<div class="jp-Cell-inputWrapper" tabindex="0">
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<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
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<div class="jp-InputArea jp-Cell-inputArea">
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<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div>
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<div class="jp-InputPrompt jp-InputArea-prompt">In [2]:</div>
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<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
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<div class="cm-editor cm-s-jupyter">
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<div class="highlight hl-julia"><pre><span></span><span class="n">inf</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1000</span>
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</div>
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<div class="jp-Cell-outputWrapper">
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<div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser">
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<div class="jp-OutputArea jp-Cell-outputArea">
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<div class="jp-OutputArea-child jp-OutputArea-executeResult">
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<div class="jp-OutputPrompt jp-OutputArea-prompt">Out[2]:</div>
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<div class="jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult" data-mime-type="text/plain" tabindex="0">
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<pre>4×4 Matrix{Int64}:
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0 9 6 1
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2 0 8 3
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5 3 0 6
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10 8 5 0</pre>
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</div>
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</div>
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</div>
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</div>
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</div>
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<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=b9eeb64d">
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<div class="jp-Cell-inputWrapper" tabindex="0">
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</div>
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<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
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</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
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<p>TODO explain this part</p>
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<p>At each iteration, the processor needs the input values <code>C[i,j]</code>, <code>C[i,k]</code> and <code>C[k,j]</code>. Since we split the data row-wise, the process already has values <code>C[i,j]</code> and <code>C[i,k]</code>. However, <code>C[k,j]</code> may be stored in a different process.</p>
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</div>
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<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=a01872ef">
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<div class="jp-Cell-inputWrapper" tabindex="0">
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<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
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<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
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</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
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<p>As we iterate over columns $j$, the process needs input from all values of row $k$. Therefore, at the start of iteration $k$, the whole row $k$ needs to be communicated.</p>
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</div>
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</div>
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"id": "ade31d26",
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"metadata": {},
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"source": [
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"## The all pairs of shortest paths (ASP) problem\n",
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"## The All Pairs of Shortest Paths (ASP) problem\n",
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"\n",
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"Let us start by presenting the all pairs of shortest paths (ASP) problem and its solution with the [Floyd–Warshall algorithm](https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm).\n",
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"\n",
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},
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{
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"cell_type": "code",
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{
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"data": {
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"text/plain": [
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"floyd! (generic function with 1 method)"
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]
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},
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"execution_count": 1,
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"metadata": {},
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"output_type": "execute_result"
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],
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"source": [
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"function floyd!(C)\n",
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"id": "860e537c",
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"metadata": {},
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"outputs": [],
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"outputs": [
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{
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"data": {
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"text/plain": [
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"4×4 Matrix{Int64}:\n",
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" 0 9 6 1\n",
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" 2 0 8 3\n",
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" 5 3 0 6\n",
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" 10 8 5 0"
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]
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},
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"execution_count": 2,
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"output_type": "execute_result"
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}
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],
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"source": [
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"inf = 1000\n",
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"id": "db9a3294",
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"metadata": {},
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"source": [
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"TODO explain this part"
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"At each iteration, the processor needs the input values `C[i,j]`, `C[i,k]` and `C[k,j]`. Since we split the data row-wise, the process already has values `C[i,j]` and `C[i,k]`. However, `C[k,j]` may be stored in a different process. "
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]
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},
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{
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"</div>"
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]
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"id": "a01872ef",
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"metadata": {},
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"source": [
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"As we iterate over columns $j$, the process needs input from all values of row $k$. Therefore, at the start of iteration $k$, the whole row $k$ needs to be communicated."
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]
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},
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{
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"attachments": {
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"g12957.png": {
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Julia 1.9.0",
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"display_name": "Julia 1.9.1",
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"name": "julia-1.9"
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"file_extension": ".jl",
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"mimetype": "application/julia",
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"name": "julia",
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"version": "1.9.0"
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}
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},
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"nbformat": 4,
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var myIframe = document.getElementById("notebook");
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iFrameResize({log:true}, myIframe);
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});
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</script></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../jacobi_method/">« Jacobi</a><a class="docs-footer-nextpage" href="../solutions/">Solutions »</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Friday 18 August 2023 14:42">Friday 18 August 2023</span>. Using Julia version 1.9.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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</script></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../jacobi_method/">« Jacobi</a><a class="docs-footer-nextpage" href="../solutions/">Solutions »</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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Monday 21 August 2023 10:01">Monday 21 August 2023</span>. Using Julia version 1.9.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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@ -18,4 +18,4 @@
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var myIframe = document.getElementById("notebook");
|
||||
iFrameResize({log:true}, myIframe);
|
||||
});
|
||||
</script></article><nav class="docs-footer"><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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Friday 18 August 2023 14:42">Friday 18 August 2023</span>. Using Julia version 1.9.2.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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@ -18,4 +18,4 @@
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var myIframe = document.getElementById("notebook");
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iFrameResize({log:true}, myIframe);
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});
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@ -18,4 +18,4 @@
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var myIframe = document.getElementById("notebook");
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iFrameResize({log:true}, myIframe);
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});
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