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| <html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · ComplexPlots.jl</title><script data-outdated-warner src="assets/warner.js"></script><link rel="canonical" href="https://complexvariables.github.io/ComplexPlots.jl/"/><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>ComplexPlots.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a><ul class="internal"><li><a class="tocitem" href="#Curves,-paths,-and-regions"><span>Curves, paths, and regions</span></a></li><li><a class="tocitem" href="#Riemann-sphere"><span>Riemann sphere</span></a></li><li><a class="tocitem" href="#Function-visualization"><span>Function visualization</span></a></li></ul></li><li><a class="tocitem" href="makie/">Makie examples</a></li><li><a class="tocitem" href="plots/">Plots examples</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/complexvariables/ComplexPlots.jl.git" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="ComplexPlots"><a class="docs-heading-anchor" href="#ComplexPlots">ComplexPlots</a><a id="ComplexPlots-1"></a><a class="docs-heading-anchor-permalink" href="#ComplexPlots" title="Permalink"></a></h1><p><a href="https://github.com/tobydriscoll/ComplexPlots.jl">ComplexPlots</a> provides definitions and recipes useful for making plots in the complex plane. </p><p>Code is provided for the <a href="https://docs.juliaplots.org/stable/">Plots.jl</a> and <a href="https://docs.makie.org/stable/">Makie.jl</a> systems. </p><h2 id="Curves,-paths,-and-regions"><a class="docs-heading-anchor" href="#Curves,-paths,-and-regions">Curves, paths, and regions</a><a id="Curves,-paths,-and-regions-1"></a><a class="docs-heading-anchor-permalink" href="#Curves,-paths,-and-regions" title="Permalink"></a></h2><p>Facilities are provided for displaying curves, paths, and regions as defined in the <a href="https://complexvariables.github.io/ComplexRegions.jl/stable/">ComplexRegions</a> package. </p><h2 id="Riemann-sphere"><a class="docs-heading-anchor" href="#Riemann-sphere">Riemann sphere</a><a id="Riemann-sphere-1"></a><a class="docs-heading-anchor-permalink" href="#Riemann-sphere" title="Permalink"></a></h2><p>Vectors of points can be plotted on the surface of the Riemann sphere. The syntax is different for the two plotting environments.</p><h2 id="Function-visualization"><a class="docs-heading-anchor" href="#Function-visualization">Function visualization</a><a id="Function-visualization-1"></a><a class="docs-heading-anchor-permalink" href="#Function-visualization" title="Permalink"></a></h2><p>Plots of complex functions can be made in the style of <a href="http://arxiv.org/abs/1007.2295">Wegert and Semmler</a> using the <code>zplot</code> function. At each point in the complex domain, the hue is selected from a cyclic colormap using the phase of the function value, and the color value (similar to lightness) is chosen by the fractional part of the log of the function value's magnitude.</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>zplot</code>. Check Documenter's build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="ComplexPlots.artist" href="#ComplexPlots.artist"><code>ComplexPlots.artist</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">artist(base=exp(1), colormap=Makie.ColorSchemes.cyclic_mygbm_30_95_c78_n256)</code></pre><p><code>artist(b)</code> returns a function that maps a complex number <code>z</code> to a color. The hue is determined by the angle of <code>z</code>. The value (lightness) is determined by the fractional part of <span>$\log_b |z|$</span>. You can optionally specify any colormap, though a cyclic one is strongly recommended.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/complexvariables/ComplexPlots.jl.git">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="makie/">Makie examples »</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></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Tuesday 29 August 2023 18:47">Tuesday 29 August 2023</span>. Using Julia version 1.9.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html> | ||
| <html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Home · ComplexPlots.jl</title><script data-outdated-warner src="assets/warner.js"></script><link rel="canonical" href="https://complexvariables.github.io/ComplexPlots.jl/"/><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.045/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/5.15.4/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL="."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="assets/documenter.js"></script><script src="siteinfo.js"></script><script src="../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="assets/themeswap.js"></script></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href>ComplexPlots.jl</a></span></div><form class="docs-search" action="search/"><input class="docs-search-query" id="documenter-search-query" name="q" type="text" placeholder="Search docs"/></form><ul class="docs-menu"><li class="is-active"><a class="tocitem" href>Home</a><ul class="internal"><li><a class="tocitem" href="#Curves,-paths,-and-regions"><span>Curves, paths, and regions</span></a></li><li><a class="tocitem" href="#Riemann-sphere"><span>Riemann sphere</span></a></li><li><a class="tocitem" href="#Function-visualization"><span>Function visualization</span></a></li></ul></li><li><a class="tocitem" href="makie/">Makie examples</a></li><li><a class="tocitem" href="plots/">Plots examples</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Home</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Home</a></li></ul></nav><div class="docs-right"><a class="docs-edit-link" href="https://github.com/complexvariables/ComplexPlots.jl.git" title="Edit on GitHub"><span class="docs-icon fab"></span><span class="docs-label is-hidden-touch">Edit on GitHub</span></a><a class="docs-settings-button fas fa-cog" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-sidebar-button fa fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a></div></header><article class="content" id="documenter-page"><h1 id="ComplexPlots"><a class="docs-heading-anchor" href="#ComplexPlots">ComplexPlots</a><a id="ComplexPlots-1"></a><a class="docs-heading-anchor-permalink" href="#ComplexPlots" title="Permalink"></a></h1><p><a href="https://github.com/tobydriscoll/ComplexPlots.jl">ComplexPlots</a> provides definitions and recipes useful for making plots in the complex plane. </p><p>Code is provided for the <a href="https://docs.juliaplots.org/stable/">Plots.jl</a> and <a href="https://docs.makie.org/stable/">Makie.jl</a> systems. </p><h2 id="Curves,-paths,-and-regions"><a class="docs-heading-anchor" href="#Curves,-paths,-and-regions">Curves, paths, and regions</a><a id="Curves,-paths,-and-regions-1"></a><a class="docs-heading-anchor-permalink" href="#Curves,-paths,-and-regions" title="Permalink"></a></h2><p>Facilities are provided for displaying curves, paths, and regions as defined in the <a href="https://complexvariables.github.io/ComplexRegions.jl/stable/">ComplexRegions</a> package. </p><h2 id="Riemann-sphere"><a class="docs-heading-anchor" href="#Riemann-sphere">Riemann sphere</a><a id="Riemann-sphere-1"></a><a class="docs-heading-anchor-permalink" href="#Riemann-sphere" title="Permalink"></a></h2><p>Vectors of points can be plotted on the surface of the Riemann sphere. The syntax is different for the two plotting environments.</p><h2 id="Function-visualization"><a class="docs-heading-anchor" href="#Function-visualization">Function visualization</a><a id="Function-visualization-1"></a><a class="docs-heading-anchor-permalink" href="#Function-visualization" title="Permalink"></a></h2><p>Plots of complex functions can be made in the style of <a href="http://arxiv.org/abs/1007.2295">Wegert and Semmler</a> using the <code>zplot</code> function. At each point in the complex domain, the hue is selected from a cyclic colormap using the phase of the function value, and the color value (similar to lightness) is chosen by the fractional part of the log of the function value's magnitude.</p><div class="admonition is-warning"><header class="admonition-header">Missing docstring.</header><div class="admonition-body"><p>Missing docstring for <code>zplot</code>. Check Documenter's build log for details.</p></div></div><article class="docstring"><header><a class="docstring-binding" id="ComplexPlots.artist" href="#ComplexPlots.artist"><code>ComplexPlots.artist</code></a> — <span class="docstring-category">Function</span></header><section><div><pre><code class="language-julia hljs">artist(base=exp(1), colormap=Makie.ColorSchemes.cyclic_mygbm_30_95_c78_n256)</code></pre><p><code>artist(b)</code> returns a function that maps a complex number <code>z</code> to a color. The hue is determined by the angle of <code>z</code>. The value (lightness) is determined by the fractional part of <span>$\log_b |z|$</span>. You can optionally specify any colormap, though a cyclic one is strongly recommended.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/complexvariables/ComplexPlots.jl.git">source</a></section></article></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="makie/">Makie examples »</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></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Tuesday 29 August 2023 19:11">Tuesday 29 August 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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