build based on e8d33f1

dev/.documenter-siteinfo.json

@@ -1 +1 @@
-{"documenter":{"julia_version":"1.10.4","generation_timestamp":"2024-08-06T17:55:07","documenter_version":"1.5.0"}}
+{"documenter":{"julia_version":"1.10.4","generation_timestamp":"2024-08-06T18:06:00","documenter_version":"1.5.0"}}

dev/convergence/index.html

@@ -15,4 +15,4 @@
 convergenceplot(r)</code></pre><img src="7befa807.png" alt="Example block output"/><p>In the extreme case of a function with a singularity on the domain, the convergence can be substantially affected:</p><pre><code class="language-julia hljs">f = x -&gt; abs(x - 1/8)
 r = approximate(f, unit_interval, stats=true)
 convergenceplot(r)</code></pre><img src="c28db901.png" alt="Example block output"/><p>In such a case, we might get improvement by increasing the number of allowed consecutive failures via the <code>lookahead</code> keyword argument:</p><pre><code class="language-julia hljs">r = approximate(f, unit_interval, stats=true, lookahead=20)
-convergenceplot(r)</code></pre><img src="a2e87dd2.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Walkthrough</a><a class="docs-footer-nextpage" href="../minimax/">Minimax »</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 1.5.0 on <span class="colophon-date" title="Tuesday 6 August 2024 17:55">Tuesday 6 August 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+convergenceplot(r)</code></pre><img src="a2e87dd2.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Walkthrough</a><a class="docs-footer-nextpage" href="../minimax/">Minimax »</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 1.5.0 on <span class="colophon-date" title="Tuesday 6 August 2024 18:05">Tuesday 6 August 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/domains/index.html

@@ -45,4 +45,4 @@
 lines!([(0, 8), (0, -8)], color=:white, linewidth=4)
 scatter!(φ.(nodes(r.fun)), color=:black, markersize=8)
 limits!(-8, 8, -8, 8)
-shg()</code></pre><img src="b96d4948.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../minimax/">« Minimax</a><a class="docs-footer-nextpage" href="../mode/">Discrete vs. continuous »</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 1.5.0 on <span class="colophon-date" title="Tuesday 6 August 2024 17:55">Tuesday 6 August 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+shg()</code></pre><img src="b96d4948.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../minimax/">« Minimax</a><a class="docs-footer-nextpage" href="../mode/">Discrete vs. continuous »</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 1.5.0 on <span class="colophon-date" title="Tuesday 6 August 2024 18:06">Tuesday 6 August 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/index.html

@@ -20,4 +20,4 @@
   9.914614203220754e-11 + 0.4999999922042446im
   2.6093540880194524e-5 - 2.2138848060268854im
   2.6093540880194524e-5 + 2.2138848060268854im</code></pre><p>Here&#39;s an example with a more interesting structure of poles and zeros:</p><pre><code class="language-julia hljs">f = x -&gt; tanh(10*(x - 0.1)^2)
-domaincolor(aaa(f), abs=true)</code></pre><img src="index-8573068f.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="convergence/">Convergence »</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 1.5.0 on <span class="colophon-date" title="Tuesday 6 August 2024 17:55">Tuesday 6 August 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+domaincolor(aaa(f), abs=true)</code></pre><img src="index-8573068f.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="convergence/">Convergence »</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 1.5.0 on <span class="colophon-date" title="Tuesday 6 August 2024 18:06">Tuesday 6 August 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/minimax/index.html

@@ -7,4 +7,4 @@
 errorplot(r)</code></pre><img src="77cf3df1.png" alt="Example block output"/><p>As you can see above, the error is now nearly equioscillatory over the interval. Moreover, the interpolation nodes appear to have shifted to resemble Chebyshev points of the first kind. If we try minimax approximation on the unit circle, however, equioscillation tends to lead to equally spaced nodes:</p><pre><code class="language-julia hljs">f = z -&gt; cos(4z) - sin(3z)
 r = approximate(f, unit_circle, max_degree=10)
 r = minimax(r, 20)
-errorplot(r, use_abs=false)</code></pre><img src="6fdb1085.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../convergence/">« Convergence</a><a class="docs-footer-nextpage" href="../domains/">Domains »</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 1.5.0 on <span class="colophon-date" title="Tuesday 6 August 2024 17:55">Tuesday 6 August 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+errorplot(r, use_abs=false)</code></pre><img src="6fdb1085.png" alt="Example block output"/></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../convergence/">« Convergence</a><a class="docs-footer-nextpage" href="../domains/">Domains »</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 1.5.0 on <span class="colophon-date" title="Tuesday 6 August 2024 18:06">Tuesday 6 August 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/mode/index.html

@@ -12,4 +12,4 @@
 println("nearest pole is $(minimum(dist(z, I) for z in poles(r))) away")
 println(&quot;error = $(maximum(abs, @. f(xx) - r(xx) ))&quot;)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">nearest pole is 0.004340949411054289 away
 error = 0.13277905425418834</code></pre><p>In the continuous mode (<a href="https://arxiv.org/abs/2305.03677">Driscoll, Nakatsukasa, Trefethen</a>) used by the <code>approximate</code> method, the samples are refined adaptively to try to ensure that the approximation is accurate everywhere:</p><pre><code class="language-julia hljs">r = approximate(f, I)
-println(&quot;error = $(maximum(abs, @. f(xx) - r(xx) ))&quot;)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">error = 9.274803147718558e-13</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../domains/">« Domains</a><a class="docs-footer-nextpage" href="../python/">Usage from Python »</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 1.5.0 on <span class="colophon-date" title="Tuesday 6 August 2024 17:55">Tuesday 6 August 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+println(&quot;error = $(maximum(abs, @. f(xx) - r(xx) ))&quot;)</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">error = 9.274803147718558e-13</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../domains/">« Domains</a><a class="docs-footer-nextpage" href="../python/">Usage from Python »</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 1.5.0 on <span class="colophon-date" title="Tuesday 6 August 2024 18:06">Tuesday 6 August 2024</span>. Using Julia version 1.10.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>