https://github.com/sagnac/complexcolor.jl

Simple interactive plotting of complex functions & arrays using domain coloring.
https://github.com/sagnac/complexcolor.jl

complex-analysis julia mathematics plotting

Last synced: 1 day ago
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Simple interactive plotting of complex functions & arrays using domain coloring.

• Host: GitHub
• URL: https://github.com/sagnac/complexcolor.jl
• Owner: Sagnac
• Created: 2023-12-07T08:07:24.000Z (12 months ago)
• Default Branch: master
• Last Pushed: 2024-10-27T01:00:21.000Z (21 days ago)
• Last Synced: 2024-10-27T07:04:22.166Z (21 days ago)
• Topics: complex-analysis, julia, mathematics, plotting
• Language: Julia
• Homepage:
• Size: 922 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 1
• Metadata Files:
  • Readme: README.md

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README

        
# ComplexColor.jl



`complex_color(s, color = HSL)` converts an array of complex numbers into an image matrix of RGB values using a hue-lightness color mapping for the phase and modulus.

`complex_plot(x, y, s, color = HSL)` plots a complex number array `s` within the `x` and `y` limits using domain coloring in the HSL or perceptual OKLCH color spaces.

***Note***: The phase contour lines are kinda bugged at the moment at around `±π`; these contours are not displayed by default, but can be toggled on the plot.

## Installation

```julia

using Pkg

Pkg.add(url="https://github.com/Sagnac/ComplexColor.jl")

```

Support for the Oklch color space requires the following fork:

```julia

Pkg.add(url="https://github.com/Sagnac/Colors.jl")

```

## Plotting examples

```julia

using ComplexColor

# for a complex array

x = y = -2:0.01:2

z = complex.(x, y')

s = map(z -> 1/z, z)

fig = complex_plot(x, y, s; title = L"s = z^{-1}")

```

```julia

# for a complex function over intervals

x = y = -2..2

f(z) = inv(z)

complex_plot(x, y, f)

```