We can define a custom seriestype by creating a new struct and defining a recipe for it. Here we define a custom seriestype SemiLogy that plots the y-axis on a logarithmic scale.
We can draw multiple functions on a same plot pane using plot! function. The following example demonstrates plotting the sine function $y = \sin(x)$ for $x \in [-\pi, \pi]$.
This guide provides an introduction to Plots.jl, a powerful and flexible plotting package for Julia. Plots.jl is a widely used Julia package for data visualization.
To plot a given function, we can pass it as an argument to the plot function.
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cell_id$83905cd7-4548-482b-9514-3b9ef2d99e67downstream_cells_mapupstream_cells_map@md_strgetindex$9e90b55e-863a-4d6f-91d1-84e15ad1edd7precedence_heuristic cell_id$9e90b55e-863a-4d6f-91d1-84e15ad1edd7downstream_cells_mapupstream_cells_map@md_strgetindex$25a968c0-4209-44e5-8e9a-ba580e0fbf4dprecedence_heuristic cell_id$25a968c0-4209-44e5-8e9a-ba580e0fbf4ddownstream_cells_mapupstream_cells_map@md_strgetindex$5744c00e-ff55-4cff-b2ed-7079c341175eprecedence_heuristic cell_id$5744c00e-ff55-4cff-b2ed-7079c341175edownstream_cells_mapupstream_cells_map:-plotπsin$a76d8151-fb1d-4dcb-aaf7-eb7f3d3c1f9eprecedence_heuristiccell_id$a76d8151-fb1d-4dcb-aaf7-eb7f3d3c1f9edownstream_cells_mapPlots@shorthandsLaTeXStrings@recipe$0ece0753-f329-43e6-9a34-99eeb7345cf4upstream_cells_map$fa8f001c-e55b-457e-ae4e-80cf7aa1ffd7precedence_heuristic 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[0m[1mPrecompiling...[22m
[90m===[39m
[32m[1m Activating[22m[39m project at `/tmp/jl_sxD8Dy`enabled÷restart_recommended_msgrestart_required_msgbusy_packageswaiting_for_permission,waiting_for_permission_but_probably_disabled«cell_inputs $c8b63bfc-3ef3-41b5-9f9f-7b59a5c0cce2cell_id$c8b63bfc-3ef3-41b5-9f9f-7b59a5c0cce2codezmd"""
Of course, we can also pass the z-coordinates of the data (`z`) as the third argument to the `heatmap` function.
"""metadatashow_logsèdisabled®skip_as_script«code_folded$a5c86153-8430-4336-a82f-c671b2c63eb5cell_id$a5c86153-8430-4336-a82f-c671b2c63eb5codemd"""
## Defining a custom seriestype
We can define a custom seriestype by creating a new struct and defining a [recipe](https://docs.juliaplots.org/stable/recipes/#recipes) for it.
Here we define a custom seriestype `SemiLogy` that plots the y-axis on a logarithmic scale.
"""metadatashow_logsèdisabled®skip_as_script«code_folded$86a17ea2-ce2c-44a5-ad69-b30b280dfb41cell_id$86a17ea2-ce2c-44a5-ad69-b30b280dfb41codetlet
x = 1:20
y = 1:3
f(x, y) = 2x + y
@show size(f.(x', y))
z = f.(x', y)
heatmap(x, y, z)
endmetadatashow_logsèdisabled®skip_as_script«code_folded$8cabb3ac-bd6f-496c-84b2-bb536ba0ff54cell_id$8cabb3ac-bd6f-496c-84b2-bb536ba0ff54codezmd"""
To run this notebook plots.jl locally, copy and paste the following into your Julia REPL:
```julia
using Pkg; Pkg.activate(temp=true); Pkg.add("Pluto")
BASE_URL = "https://raw.githubusercontent.com/tensor4all/T4APlutoExamples/refs/heads/main/pluto_notebooks/"
notebook = "plots.jl"
url = joinpath(BASE_URL, notebook)
using Pluto; Pluto.run(notebook=download(url))
```
"""metadatashow_logsèdisabled®skip_as_script«code_folded$b1c45986-eb23-42aa-ba27-8269686ad626cell_id$b1c45986-eb23-42aa-ba27-8269686ad626codeٹmd"""
We can draw multiple functions on a same plot pane using `plot!` function.
The following example demonstrates plotting the sine function $y = \sin(x)$ for $x \in [-\pi, \pi]$.
"""metadatashow_logsèdisabled®skip_as_script«code_folded$f1871cd6-8d8c-4e38-920b-c3f145513b22cell_id$f1871cd6-8d8c-4e38-920b-c3f145513b22codeKlet
x = 1:20
y = 1:3
f(x, y) = 2x + y
heatmap(x, y, f)
endmetadatashow_logsèdisabled®skip_as_script«code_folded$679f9791-df49-47f6-b5e0-562737f265b5cell_id$679f9791-df49-47f6-b5e0-562737f265b5codemd"""
# Introduction to Plots.jl
This guide provides an introduction to [Plots.jl](https://docs.juliaplots.org/stable/), a powerful and flexible plotting package for Julia.
Plots.jl is a widely used Julia package for data visualization.
"""metadatashow_logsèdisabled®skip_as_script«code_folded$0ece0753-f329-43e6-9a34-99eeb7345cf4cell_id$0ece0753-f329-43e6-9a34-99eeb7345cf4code_begin
# defines mutable struct `SemiLogy` and sets shorthands
# `semilogy` and `semilogy!`
@userplot SemiLogy
@recipe function f(t::SemiLogy)
x = t.args[begin]
y = t.args[end]
ε = nextfloat(0.0)
yscale := :log10
# Adding ε avoids getting log10(0) from being -Inf
(x, ε .+ y)
end
endmetadatashow_logsèdisabled®skip_as_script«code_folded$5e630874-2ce5-4a8a-9cc0-c2474a9a6fa3cell_id$5e630874-2ce5-4a8a-9cc0-c2474a9a6fa3codeflet
x = 1:10
y = rand(10)
plt = plot()
plot!(x, y)
scatter!(x, y, label="scatter", marker=:x)
endmetadatashow_logsèdisabled®skip_as_script«code_folded$aeab03ea-5947-4088-b60e-d1b32e98d164cell_id$aeab03ea-5947-4088-b60e-d1b32e98d164codeٳlet
x = -π:0.1:π
y1 = sin.(x)
y2 = cos.(x)
plt = plot()
# line plot
plot!(plt, x, y1, label="sin")
# scatter plot
plot!(plt, x, y2, label="cos", seriestype=:scatter)
endmetadatashow_logsèdisabled®skip_as_script«code_folded$83905cd7-4548-482b-9514-3b9ef2d99e67cell_id$83905cd7-4548-482b-9514-3b9ef2d99e67codeٍmd"""
Additionally, we can provide x-coordinates (`x`) and y-coordinates (`y`) as arguments to the `plot` function to create custom plots."""metadatashow_logsèdisabled®skip_as_script«code_folded$9e90b55e-863a-4d6f-91d1-84e15ad1edd7cell_id$9e90b55e-863a-4d6f-91d1-84e15ad1edd7codeqmd"""
Instead of specifying `seriestype=:scatter`, we can use the `scatter` or `scatter!` functions directly.
"""metadatashow_logsèdisabled®skip_as_script«code_folded$25a968c0-4209-44e5-8e9a-ba580e0fbf4dcell_id$25a968c0-4209-44e5-8e9a-ba580e0fbf4dcodelmd"""
## Heatmap
We can use the `heatmap` function to visualize a function on a two-dimensional domain.
"""metadatashow_logsèdisabled®skip_as_script«code_folded$5744c00e-ff55-4cff-b2ed-7079c341175ecell_id$5744c00e-ff55-4cff-b2ed-7079c341175ecodeJlet
x = -π:0.1:π
y = sin.(x)
# line plot
plot(x, y, label="sin")
endmetadatashow_logsèdisabled®skip_as_script«code_folded$a76d8151-fb1d-4dcb-aaf7-eb7f3d3c1f9ecell_id$a76d8151-fb1d-4dcb-aaf7-eb7f3d3c1f9ecodecbegin
using Plots
using Plots.RecipesBase: @recipe, @shorthands
using LaTeXStrings
endmetadatashow_logsèdisabled®skip_as_script«code_folded$fa8f001c-e55b-457e-ae4e-80cf7aa1ffd7cell_id$fa8f001c-e55b-457e-ae4e-80cf7aa1ffd7code(semilogy((-10:1:-7), 10.0 .^ (-10:1:-7))metadatashow_logsèdisabled®skip_as_script«code_folded$fe019b21-c774-49ff-981c-0487f0b07d42cell_id$fe019b21-c774-49ff-981c-0487f0b07d42codeYmd"""
To plot a given function, we can pass it as an argument to the `plot` function.
"""metadatashow_logsèdisabled®skip_as_script«code_folded$e44c2429-fc7c-4609-b27c-4b527a7b8440cell_id$e44c2429-fc7c-4609-b27c-4b527a7b8440codeplot(sin)metadatashow_logsèdisabled®skip_as_script«code_folded«notebook_id$558c1c64-ae0d-11ef-030a-e9b821d95c74in_temp_dir¨metadata