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2 changes: 1 addition & 1 deletion dev/.documenter-siteinfo.json
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{"documenter":{"julia_version":"1.9.3","generation_timestamp":"2023-11-05T23:57:56","documenter_version":"1.1.2"}}
{"documenter":{"julia_version":"1.9.3","generation_timestamp":"2023-11-07T13:15:04","documenter_version":"1.1.2"}}
6 changes: 3 additions & 3 deletions dev/index.html
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[efe28fd5] OpenSpecFun_jll v0.5.5+0
[91d4177d] Opus_jll v1.3.2+0
[30392449] Pixman_jll v0.42.2+0
[c0090381] Qt6Base_jll v6.5.3+0
[c0090381] Qt6Base_jll v6.5.3+1
[a44049a8] Vulkan_Loader_jll v1.3.243+0
[a2964d1f] Wayland_jll v1.21.0+1
[2381bf8a] Wayland_protocols_jll v1.25.0+0
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[c5fb5394] Xorg_xtrans_jll v1.5.0+0
[3161d3a3] Zstd_jll v1.5.5+0
[35ca27e7] eudev_jll v3.2.9+0
[214eeab7] fzf_jll v0.35.1+0
[214eeab7] fzf_jll v0.35.1+0
[1a1c6b14] gperf_jll v3.1.1+0
[a4ae2306] libaom_jll v3.4.0+0
[0ac62f75] libass_jll v0.15.1+0
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[8e850b90] libblastrampoline_jll v5.8.0+0
[8e850ede] nghttp2_jll v1.48.0+0
[3f19e933] p7zip_jll v17.4.0+0
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 To see why use `status --outdated -m`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/v4.5.0/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/DataInterpolations.jl/tree/gh-pages/v4.5.0/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 1.1.2 on <span class="colophon-date" title="Sunday 5 November 2023 23:57">Sunday 5 November 2023</span>. Using Julia version 1.9.3.</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/v4.5.0/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/DataInterpolations.jl/tree/gh-pages/v4.5.0/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 1.1.2 on <span class="colophon-date" title="Tuesday 7 November 2023 13:15">Tuesday 7 November 2023</span>. Using Julia version 1.9.3.</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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A(100.0)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">10.101397401671347</code></pre><div class="admonition is-info"><header class="admonition-header">Note</header><div class="admonition-body"><p>The values computed beyond the range of the time points provided during interpolation will not be reliable as these methods only perform well within the range and the first/last piece polynomial fit is extrapolated on either sides which might not reflect the true nature of the data.</p></div></div><h2 id="Derivatives"><a class="docs-heading-anchor" href="#Derivatives">Derivatives</a><a id="Derivatives-1"></a><a class="docs-heading-anchor-permalink" href="#Derivatives" title="Permalink"></a></h2><p>Derivatives of the interpolated curves can also be computed at any point for all the methods.</p><p>We will continue with the above example, but the API is same for all the methods.</p><pre><code class="language-julia hljs"># derivative(A, t)
DataInterpolations.derivative(A, 1.0)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">-0.051048168999699245</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><p>Currently, this is implemented only for a few methods - <code>ConstantInterpolation</code>, <code>LinearInterpolation</code>, <code>QuadraticInterpolation</code>, <code>QuadraticSpline</code> and <code>CubicSpline</code>.</p><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(A, 5.0)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">72.86338611822583</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(A, 1.0, 5.0)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">114.9694509973317</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 goes 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 1.1.2 on <span class="colophon-date" title="Sunday 5 November 2023 23:57">Sunday 5 November 2023</span>. Using Julia version 1.9.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
DataInterpolations.integral(A, 1.0, 5.0)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">114.9694509973317</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 goes 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 1.1.2 on <span class="colophon-date" title="Tuesday 7 November 2023 13:15">Tuesday 7 November 2023</span>. Using Julia version 1.9.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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