ComplexNumberPicker

[fonsp]

A widget that lets you pick a complex number:

TODO

• put in package
• drop shadow?
• smaller?
• show the currently picked point? or that should be in PlutoImageCoordinatePicker.jl ?

### A Pluto.jl notebook ###
# v0.19.43

using Markdown
using InteractiveUtils

# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
macro bind(def, element)
    quote
        local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end
        local el = $(esc(element))
        global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el)
        el
    end
end

# ╔═╡ f0c0a310-4069-11ef-316e-57f168e56249
using PlutoUI

# ╔═╡ 4130f271-a813-4064-b1b6-c86134fcf65e
using PlutoImageCoordinatePicker

# ╔═╡ da9a6e66-184f-4332-a175-963e6534c97d
md"""
# Usage

Click somewhere to pick a point!
"""

# ╔═╡ d48df3bf-624d-47dd-a3bc-ac32503946fd
md"""
# Implementation
"""

# ╔═╡ 57617007-3695-4e86-b8db-7be3737abd84
begin
	struct SVG
		content
	end

	function Base.show(io::IO, m::MIME"image/svg+xml", s::SVG)
		write(io, s.content)
	end
end

# ╔═╡ 55e7af24-5be1-4fb4-90b0-151478c2117a
im_axes = """<svg xmlns="http://www.w3.org/2000/svg" width="300" height="300" viewBox="0 0 300 300" style="max-width:100%;height:auto;color:black">

<defs>
    <marker id="triangle" viewBox="0 0 10 10" refX="1" refY="5" markerUnits="strokeWidth" markerWidth="10" markerHeight="10" orient="auto-start-reverse">
      <path d="M 0 0 L 10 5 L 0 10 z" fill="currentColor"></path>
    </marker>
  </defs>

<rect width="300" height="300" fill="white" rx="1em"/>

<line x1="10" x2="290" y1="150" y2="150" stroke="currentColor" marker-start="url(#triangle)" marker-end="url(#triangle)"></line>

<line y1="10" y2="290" x1="150" x2="150" stroke="currentColor" marker-start="url(#triangle)" marker-end="url(#triangle)"></line>
<circle cx="150" cy="150" r="3" fill="currentColor"></circle>

<g style="    font-family: math;
    font-style: italic;
    font-size: 17px;">

<g transform="translate(260, 140)">
<text fill="currentColor">Real</text>
</g>

<g transform="translate(170, 50) rotate(-90)">
<text text-anchor="middle" fill="currentColor">Imaginary</text>
</g>


<g transform="translate(150, 150)">
<text text-anchor="end" fill="currentColor" dx="-10" dy="20">0</text>
</g>



<g transform="translate(270, 150)">
<line y1="-5" y2="5" stroke="currentColor"></line>
<text text-anchor="middle" fill="currentColor" dy="20">1</text>
</g>
<g transform="translate(30, 150)">
<line y1="-5" y2="5" stroke="currentColor"></line>
<text text-anchor="middle" fill="currentColor" dy="20">-1</text>
</g>





<g transform="translate(150, 30)">
<line x1="-5" x2="5" stroke="currentColor"></line>
<text text-anchor="end" fill="currentColor" dy=".5ch" dx="-10">i</text>
</g>
<g transform="translate(150, 270)">
<line x1="-5" x2="5" stroke="currentColor"></line>
<text text-anchor="end" fill="currentColor" dy=".5ch" dx="-10">-i</text>
</g>



</g>

</svg>""" |> SVG

# ╔═╡ 1a1addef-b075-4b17-aa2f-c70f4f86d421
function ComplexNumberPicker()
	PlutoUI.Experimental.transformed_value(ImageCoordinatePicker(im_axes)) do point
		if point === nothing
			nothing
		else
			t(x) = (x - 150.0) / 120.0
			t(point.x) - im * t(point.y)
		end
	end
end

# ╔═╡ 2e4d8a7a-a798-4bec-a724-03ad82ae2c22
@bind point ComplexNumberPicker()

# ╔═╡ 618f145d-4d5f-4357-ba71-3169bd797f59
point

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
PlutoImageCoordinatePicker = "79686372-6169-7274-6170-6568746b6366"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"

[compat]
PlutoImageCoordinatePicker = "~1.2.0"
PlutoUI = "~0.7.59"
"""

# ╔═╡ 00000000-0000-0000-0000-000000000002
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# ╔═╡ Cell order:
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# ╠═2e4d8a7a-a798-4bec-a724-03ad82ae2c22
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