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Documenter.jl committed Oct 11, 2024
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2 changes: 1 addition & 1 deletion dev/.documenter-siteinfo.json
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{"documenter":{"julia_version":"1.11.0","generation_timestamp":"2024-10-11T22:09:50","documenter_version":"1.7.0"}}
{"documenter":{"julia_version":"1.11.0","generation_timestamp":"2024-10-11T22:46:43","documenter_version":"1.7.0"}}
2 changes: 1 addition & 1 deletion dev/comparison/index.html
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2 changes: 1 addition & 1 deletion dev/examples/perturbation/index.html
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- (𝜀 + 4*𝜀^2 + 10*𝜀^3)*𝑀^3/6
+ (𝜀 + 16*𝜀^2 + 91*𝜀^3)*𝑀^5/120</code></pre><p>Comparing the formula to the one for 𝐸 in the <a href="https://en.wikipedia.org/wiki/Kepler%27s_equation">Wikipedia article on the Kepler&#39;s equation</a>:</p><p class="math-container">\[ E = \frac{1}{1-\epsilon}M
-\frac{\epsilon}{(1-\epsilon)^4} \frac{M^3}{3!} + \frac{(9\epsilon^2
+ \epsilon)}{(1-\epsilon)^7}\frac{M^5}{5!}\cdots\]</p><p>The first deviation is in the coefficient of <span>$\epsilon^3 M^5$</span>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../tutorials/converting_to_C/">« Automatic Conversion of Julia Code to C Functions</a><a class="docs-footer-nextpage" href="../../manual/variables/">Variable and Equation Types »</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 22:09">Friday 11 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+ \epsilon)}{(1-\epsilon)^7}\frac{M^5}{5!}\cdots\]</p><p>The first deviation is in the coefficient of <span>$\epsilon^3 M^5$</span>.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../tutorials/converting_to_C/">« Automatic Conversion of Julia Code to C Functions</a><a class="docs-footer-nextpage" href="../../manual/variables/">Variable and Equation Types »</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 22:46">Friday 11 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
18 changes: 9 additions & 9 deletions dev/getting_started/index.html
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f(u)</code></pre><p class="math-container">\[ \begin{equation}
\left[
\begin{array}{c}
u_1 - u_3 \\
- u_2 + u_1^{2} \\
u_2 + u_3 \\
u{_1} - u{_3} \\
- u{_2} + u{_1}^{2} \\
u{_2} + u{_3} \\
\end{array}
\right]
\end{equation}
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out = sparse(rows, cols, zeros(length(cols)), size(sj)...) # pre-allocate, and correct structure
myf = eval(last(f_expr))
myf(out, rand(N)) # note that out matches the sparsity structure of sj
out</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">20×10 SparseArrays.SparseMatrixCSC{Float64, Int64} with 20 stored entries:
⎡⠀⠀⠢⠀⢀⎤
⎢⠀⠈⠄⡀⠂⎥
⎢⠀⠁⠀⠲⠆⎥
⎢⠂⢀⠅⠠⠀⎥
⎣⠀⠈⠐⠀⠀⎦</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../tutorials/auto_parallel/">Automated Sparse Parallelism of Julia Functions via Tracing »</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 22:09">Friday 11 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
out</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">20×10 SparseArrays.SparseMatrixCSC{Float64, Int64} with 19 stored entries:
⎡⠰⠄⠀⠂⠀⎤
⎢⠑⠠⠀⠔⠐⎥
⎢⠀⠀⠀⡀⠀⎥
⎢⠂⢀⠀⠀⠠⎥
⎣⠠⠀⠂⠠⠒⎦</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../tutorials/auto_parallel/">Automated Sparse Parallelism of Julia Functions via Tracing »</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 22:46">Friday 11 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
2 changes: 1 addition & 1 deletion dev/index.html
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[8e850b90] libblastrampoline_jll v5.11.0+0
[8e850ede] nghttp2_jll v1.59.0+0
[3f19e933] p7zip_jll v17.4.0+2
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`</code></pre></details><p>You can also download the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v6.13.1/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v6.13.1/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="getting_started/">Getting Started with Symbolics.jl »</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 22:09">Friday 11 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`</code></pre></details><p>You can also download the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v6.13.1/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v6.13.1/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="getting_started/">Getting Started with Symbolics.jl »</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 22:46">Friday 11 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
12 changes: 6 additions & 6 deletions dev/manual/arrays/index.html
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\]</p><p>is a vector of two symbolic variables. As shorthand,</p><pre><code class="language-julia hljs">u2 = Symbolics.variables(:x, 1:3, 3:6)</code></pre><p class="math-container">\[ \begin{equation}
\left[
\begin{array}{cccc}
x_{1}ˏ_3 &amp; x_{1}ˏ_4 &amp; x_{1}ˏ_5 &amp; x_{1}ˏ_6 \\
x_{2}ˏ_3 &amp; x_{2}ˏ_4 &amp; x_{2}ˏ_5 &amp; x_{2}ˏ_6 \\
x_{3}ˏ_3 &amp; x_{3}ˏ_4 &amp; x_{3}ˏ_5 &amp; x_{3}ˏ_6 \\
x{{_1}}ˏ{_3} &amp; x{{_1}}ˏ{_4} &amp; x{{_1}}ˏ{_5} &amp; x{{_1}}ˏ{_6} \\
x{{_2}}ˏ{_3} &amp; x{{_2}}ˏ{_4} &amp; x{{_2}}ˏ{_5} &amp; x{{_2}}ˏ{_6} \\
x{{_3}}ˏ{_3} &amp; x{{_3}}ˏ{_4} &amp; x{{_3}}ˏ{_5} &amp; x{{_3}}ˏ{_6} \\
\end{array}
\right]
\end{equation}
Expand Down Expand Up @@ -43,7 +43,7 @@
A b
\end{equation}
\]</p><pre><code class="language-julia hljs">size(c)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">(5,)</code></pre><pre><code class="language-julia hljs">eltype(c)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Real</code></pre><p>Adjoints, matrix-matrix, and matrix-vector multiplications are supported. Dot product returns a scalar-valued expression:</p><pre><code class="language-julia hljs">b&#39;b</code></pre><p class="math-container">\[ \begin{equation}
\mathrm{adjoint}\left( b \right) b_{1}
adjoint\left( b \right) b_{1}
\end{equation}
\]</p><pre><code class="language-julia hljs">size(b&#39;b)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">()</code></pre><p>Outer product returns a matrix:</p><pre><code class="language-julia hljs">b * b&#39;</code></pre><p class="math-container">\[ \begin{equation}
b \mathrm{adjoint}\left( b \right)
Expand All @@ -58,10 +58,10 @@
A \mathrm{adjoint}\left( A \right)
\end{equation}
\]</p><pre><code class="language-julia hljs">AAt[2,3]</code></pre><p class="math-container">\[ \begin{equation}
A \mathrm{adjoint}\left( A \right)_{2,3}
A adjoint\left( A \right)_{2,3}
\end{equation}
\]</p><p>Here we indexed for the element (2,3), but we got back a symbolic indexing expression. You may want to force the element to be computed in terms of the elements of A. This can be done, using the <code>scalarize</code> function.</p><pre><code class="language-julia hljs">Symbolics.scalarize(AAt[2,3])</code></pre><p class="math-container">\[ \begin{equation}
A_{2,1} A_{3,1} + A_{2,2} A_{3,2} + A_{2,3} A_{3,3}
\end{equation}
\]</p><pre><code class="language-julia hljs">@syms i::Int j::Int
Symbolics.scalarize(AAt[i,j])</code></pre><p>In general, any scalar expression which is derived from array expressions can be scalarized.</p><pre><code class="language-julia hljs">#sum(A[:,1]) + sum(A[2,:])#latexify not working</code></pre><pre><code class="language-julia hljs">Symbolics.scalarize(sum(A[:,1]) + sum(A[2,:]))</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../solver/">« Solver</a><a class="docs-footer-nextpage" href="../build_function/">Function Building and Compilation (build_function) »</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 22:09">Friday 11 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
Symbolics.scalarize(AAt[i,j])</code></pre><p>In general, any scalar expression which is derived from array expressions can be scalarized.</p><pre><code class="language-julia hljs">#sum(A[:,1]) + sum(A[2,:])#latexify not working</code></pre><pre><code class="language-julia hljs">Symbolics.scalarize(sum(A[:,1]) + sum(A[2,:]))</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../solver/">« Solver</a><a class="docs-footer-nextpage" href="../build_function/">Function Building and Compilation (build_function) »</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 22:46">Friday 11 October 2024</span>. Using Julia version 1.11.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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