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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":"2023-11-07T13:15:04","documenter_version":"1.1.2"}}
{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2023-11-17T11:26:10","documenter_version":"1.1.2"}}
34 changes: 17 additions & 17 deletions dev/index.html
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[429524aa] Optim v1.7.8
[91a5bcdd] Plots v1.39.0
[29dad682] RegularizationTools v0.6.0
[860ef19b] StableRNGs v1.0.0</code></pre></details><details><summary>and using this machine and Julia version.</summary><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Julia Version 1.9.3
Commit bed2cd540a1 (2023-08-24 14:43 UTC)
[860ef19b] StableRNGs v1.0.0</code></pre></details><details><summary>and using this machine and Julia version.</summary><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Julia Version 1.9.4
Commit 8e5136fa297 (2023-11-14 08:46 UTC)
Build Info:
Official https://julialang.org/ release
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: 2 × Intel(R) Xeon(R) Platinum 8272CL CPU @ 2.60GHz
CPU: 4 × AMD EPYC 7763 64-Core Processor
WORD_SIZE: 64
LIBM: libopenlibm
LLVM: libLLVM-14.0.6 (ORCJIT, skylake-avx512)
Threads: 1 on 2 virtual cores</code></pre></details><details><summary>A more complete overview of all dependencies and their versions is also provided.</summary><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Status `~/work/DataInterpolations.jl/DataInterpolations.jl/docs/Manifest.toml`
LLVM: libLLVM-14.0.6 (ORCJIT, znver3)
Threads: 1 on 4 virtual cores</code></pre></details><details><summary>A more complete overview of all dependencies and their versions is also provided.</summary><pre class="documenter-example-output"><code class="nohighlight hljs ansi">Status `~/work/DataInterpolations.jl/DataInterpolations.jl/docs/Manifest.toml`
[a4c015fc] ANSIColoredPrinters v0.0.1
[1520ce14] AbstractTrees v0.4.4
[79e6a3ab] Adapt v3.7.1
[4fba245c] ArrayInterface v7.5.1
[d1d4a3ce] BitFlags v0.1.7
[d1d4a3ce] BitFlags v0.1.8
[49dc2e85] Calculus v0.5.1
[944b1d66] CodecZlib v0.7.3
[35d6a980] ColorSchemes v3.24.0
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[682c06a0] JSON v0.21.4
[b964fa9f] LaTeXStrings v1.3.1
[23fbe1c1] Latexify v0.16.1
[0e77f7df] LazilyInitializedFields v1.2.1
[0e77f7df] LazilyInitializedFields v1.2.2
[50d2b5c4] Lazy v0.15.1
[0fc2ff8b] LeastSquaresOptim v0.8.5
[d3d80556] LineSearches v7.2.0
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[d8e11817] MLStyle v0.4.17
[1914dd2f] MacroTools v0.5.11
[d0879d2d] MarkdownAST v0.1.2
[739be429] MbedTLS v1.1.7
[739be429] MbedTLS v1.1.8
[442fdcdd] Measures v0.3.2
[c03570c3] Memoize v0.4.4
[e1d29d7a] Missings v1.1.0
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[429524aa] Optim v1.7.8
[bac558e1] OrderedCollections v1.6.2
[d96e819e] Parameters v0.12.3
[69de0a69] Parsers v2.7.2
[69de0a69] Parsers v2.8.0
[b98c9c47] Pipe v1.3.0
[ccf2f8ad] PlotThemes v3.1.0
[995b91a9] PlotUtils v1.3.5
[91a5bcdd] Plots v1.39.0
[85a6dd25] PositiveFactorizations v0.2.4
[aea7be01] PrecompileTools v1.2.0
[21216c6a] Preferences v1.4.1
[08abe8d2] PrettyTables v2.2.8
[08abe8d2] PrettyTables v2.3.0
[3cdcf5f2] RecipesBase v1.3.4
[01d81517] RecipesPipeline v0.6.12
[731186ca] RecursiveArrayTools v2.38.10
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[3a884ed6] UnPack v1.0.2
[d9a01c3f] Underscores v3.0.0
[1cfade01] UnicodeFun v0.4.1
[1986cc42] Unitful v1.17.0
[1986cc42] Unitful v1.18.0
[45397f5d] UnitfulLatexify v1.6.3
[41fe7b60] Unzip v0.2.0
[6e34b625] Bzip2_jll v1.0.8+0
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[2381bf8a] Wayland_protocols_jll v1.25.0+0
[02c8fc9c] XML2_jll v2.11.5+0
[aed1982a] XSLT_jll v1.1.34+0
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[f67eecfb] Xorg_libICE_jll v1.0.10+1
[c834827a] Xorg_libSM_jll v1.2.3+0
[4f6342f7] Xorg_libX11_jll v1.8.6+0
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[7b1f6079] FileWatching
[9fa8497b] Future
[b77e0a4c] InteractiveUtils
[b27032c2] LibCURL v0.6.3
[b27032c2] LibCURL v0.6.4
[76f85450] LibGit2
[8f399da3] Libdl
[37e2e46d] LinearAlgebra
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[cf7118a7] UUIDs
[4ec0a83e] Unicode
[e66e0078] CompilerSupportLibraries_jll v1.0.5+0
[deac9b47] LibCURL_jll v7.84.0+0
[29816b5a] LibSSH2_jll v1.10.2+0
[deac9b47] LibCURL_jll v8.4.0+0
[29816b5a] LibSSH2_jll v1.11.0+1
[c8ffd9c3] MbedTLS_jll v2.28.2+0
[14a3606d] MozillaCACerts_jll v2022.10.11
[4536629a] OpenBLAS_jll v0.3.21+4
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[bea87d4a] SuiteSparse_jll v5.10.1+6
[83775a58] Zlib_jll v1.2.13+0
[8e850b90] libblastrampoline_jll v5.8.0+0
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[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="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>
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="Friday 17 November 2023 11:26">Friday 17 November 2023</span>. Using Julia version 1.9.4.</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="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>
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="Friday 17 November 2023 11:26">Friday 17 November 2023</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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