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Documenter.jl committed Dec 29, 2023
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2 changes: 1 addition & 1 deletion dev/.documenter-siteinfo.json
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{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2023-12-28T12:45:49","documenter_version":"1.2.1"}}
{"documenter":{"julia_version":"1.10.0","generation_timestamp":"2023-12-29T14:04:04","documenter_version":"1.2.1"}}
4 changes: 2 additions & 2 deletions dev/assets/Manifest.toml
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[[deps.FiniteDiff]]
deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays"]
git-tree-sha1 = "c6e4a1fbe73b31a3dea94b1da449503b8830c306"
git-tree-sha1 = "73d1214fec245096717847c62d389a5d2ac86504"
uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
version = "2.21.1"
version = "2.22.0"

[deps.FiniteDiff.extensions]
FiniteDiffBandedMatricesExt = "BandedMatrices"
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4 changes: 2 additions & 2 deletions dev/index.html
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[460bff9d] ExceptionUnwrapping v0.1.9
[c87230d0] FFMPEG v0.4.1
[1a297f60] FillArrays v1.9.3
[6a86dc24] FiniteDiff v2.21.1
[6a86dc24] FiniteDiff v2.22.0
[53c48c17] FixedPointNumbers v0.8.4
[59287772] Formatting v0.4.2
[f6369f11] ForwardDiff v0.10.36
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[8e850b90] libblastrampoline_jll v5.8.0+1
[8e850ede] nghttp2_jll v1.52.0+1
[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 To see why use `status --outdated -m`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/DataInterpolations.jl/tree/gh-pages/v4.6.0/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/DataInterpolations.jl/tree/gh-pages/v4.6.0/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="methods/">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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Thursday 28 December 2023 12:45">Thursday 28 December 2023</span>. Using Julia version 1.10.0.</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/DataInterpolations.jl/tree/gh-pages/v4.6.0/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/DataInterpolations.jl/tree/gh-pages/v4.6.0/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="methods/">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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Friday 29 December 2023 14:04">Friday 29 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
2 changes: 1 addition & 1 deletion dev/interface/index.html
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DataInterpolations.derivative(A2, 300.0)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">-0.23144961208831108</code></pre><h2 id="Integrals"><a class="docs-heading-anchor" href="#Integrals">Integrals</a><a id="Integrals-1"></a><a class="docs-heading-anchor-permalink" href="#Integrals" title="Permalink"></a></h2><p>Integrals of the interpolated curves can also be computed easily.</p><div class="admonition is-info"><header class="admonition-header">Note</header><div class="admonition-body"><p>Integrals for <code>LagrangeInterpolation</code>, <code>BSplineInterpolation</code>, <code>BSplineApprox</code>, <code>Curvefit</code> will error as there are no simple analytical solutions available. Please use numerical methods instead, such as <a href="https://docs.sciml.ai/Integrals/stable/">Integrals.jl</a>.</p></div></div><p>To compute the integrals from the start of time points provided during interpolation to any point, we can do:</p><pre><code class="language-julia hljs"># integral(A, t)
DataInterpolations.integral(A1, 5.0)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">129.64386171415265</code></pre><p>If we want to compute integrals between two points, we can do:</p><pre><code class="language-julia hljs"># integral(A, t1, t2)
DataInterpolations.integral(A1, 1.0, 5.0)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">114.9694509973317</code></pre><p>Again, if the interpolation is defined with <code>extrapolate=true</code>, the integral can be computed beyond the range of the timepoints.</p><pre><code class="language-julia hljs"># integral(A, t1, t2)
DataInterpolations.integral(A2, 200.0, 300.0)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">1065.2015077631368</code></pre><div class="admonition is-info"><header class="admonition-header">Note</header><div class="admonition-body"><p>If the times provided in the integral go beyond the range of the time points provided during interpolation, it uses extrapolation methods to compute the values, and hence the integral can be misrepsentative and might not reflect the true nature of the data.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../methods/">« 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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Thursday 28 December 2023 12:45">Thursday 28 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
DataInterpolations.integral(A2, 200.0, 300.0)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">1065.2015077631368</code></pre><div class="admonition is-info"><header class="admonition-header">Note</header><div class="admonition-body"><p>If the times provided in the integral go beyond the range of the time points provided during interpolation, it uses extrapolation methods to compute the values, and hence the integral can be misrepsentative and might not reflect the true nature of the data.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../methods/">« 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="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="auto">Automatic (OS)</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.2.1 on <span class="colophon-date" title="Friday 29 December 2023 14:04">Friday 29 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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