begin
= 1
myVar = myVar + 5
myVar end
6
Darren Irwin
Now that we know how to use the Julia REPL to interact with Julia and are building our understanding of programming, we likely want an environment in which we can compose programs and save them for use later. Pluto notebooks provides a reactive notebook environment for doing this.
Pluto is a package that we install into Julia in the same way as we did with the Plots package (on the last page):
Type ]
to enter the package mode, then input this:
This downloads and installs everything needed for Pluto to run (which is quite a bit, so may take some time).
When done, press “delete” to return from package mode to the REPL. Then type these two commands:
Eventually (and if your computer works the same as mine), a browser window will open that says “welcome to Pluto.jl” at the top.
Click on “Create a new notebook” (Under the heading “My Work”).
You will then see a mostly blank page that says “Pluto.jl” in the upper left. Below that there is a line with faint text that says “Enter cell code”. Try entering a simple Julia expression there to assign a value to a variable (e.g. something like a = 7^2
) and then press Shift + Enter to tell Pluto to evaluate the cell.
Pluto then returns the result of your expression above the cell.
Let’s add another cell by clicking the little “+” sign below the first cell. In this new cell, enter an expression that creates a second variable and assigns to it a calculation involving your first variable (e.g. b = a - 3
). You will see again see the result above the cell.
Now, edit the first cell to change the value assigned to a
, and press Shift + Enter. You will see the returned value of a
change, and the value of b
changes too. This is what it means to be reactive: any change in your notebook propogates through the entire notebook in a logical way. The whole notebook then is like a single program.
Try switching the order of your two cells, by simply hovering your pointer to the left of one of the cells, and then dragging it up or down. Now play around with the code in the cells. You will see that the results do not depend on cell order.
This allows you to organize notebooks in whatever way you want. You have the option of having the final result at the top, with supporting code lower down.
There are a couple important consequence of the above. One is that we cannot have two statements that assign to the same variable in two different cells. For instance, if you say a = 1
in one cell and a = a + 1
. (Try it! Pluto will respond with an error and suggest a solution.) Instead, we can use begin
-end
blocks to group code in which a single variable is assigned a series of values in succession:
A related principle is that each cell block can only contain a single expression. (However, an expression can be quite big if it contain a begin
-end
block.) This ensures Julia can figure out which cells depend on which.
Let’s save our notebook so we can open it later and use it again. At the top of the page, click on “Save notebook”. You can then choose a folder and enter a file name (e.g. something like “MyFirstPlutoNotebook.jl” wouldn’t be a terrible choice). It is good to give your notebook a “.jl” extension, which indicates a file written in Julia.
If you now leave your notebook by clicking on the “Pluto.jl” logo in the upper left, you should see that the notebook you just saved is listed under “My Work”. Click on that notebook name, and it will open your notebook again.
A nice thing about working in Pluto is that the file that you are saving is 100% runnable as a Julia file (without using Pluto).
A way that Pluto differs from some other notebook environments (e.g. Jupyter) is that the program state is completely described by the code in the notebook. You don’t have to wonder if each cell has been executed–the entire notebook is affected by any change you make (although Julia is clever and for efficiency figures out what cells depend on that change).
Pluto can show all sorts of output from your code. For instance, try making a plot. We first need to install the Plots package into our Pluto environment:
If you have not downloaded the Plots package, Pluto will nicely do it for you.
Now, lets generate some data and graph it:
begin
numPoints = 10
xValues = randn(numPoints) # random draw from standard normal distribution
yValues = xValues .+ 0.5 .* randn(numPoints)
scatter(xValues, yValues)
end
You will likely see a scatter plot of 10 data points. The data generation involved random draws from a standard normal distribution, so your graph won’t look exactly the same as the one shown here.
Can you figure out how to modify the above to get 1000 data points? Try it!
If wanting a bigger challenge: Can you figure out how to make the cloud of points more like a round cloud, where the xValues
and yValues
are not so strongly associated?
Markdown is a system for converting strings to formatted text in a document. You can use Markdown to add headers and comments to your notebook, simply by entering md
and then double quotes surrounding your text. Create a new cell at the top of your notebook and enter this:
md"# _Welcome to my notebook!_
This is a Pluto notebook for programming in the Julia language. Pluto notebooks are **reactive** to changes you make.
"
You can hide the code producing that text by clicking on the little eye symbol left of the code cell.
We can incorporate Julia expressions into our Markdown comments by preceding it with a $
symbol:
The fancy name for the above is string interpolation. The expressions following the $
are evaluated as Julia expressions, and the returned values are integrated into the string (indicated by double quotes) and then formatted as Markdown text (indicated by the md
preceding the quotes).
[Note that if you want the above Markdown commands to work outside of Pluto, e.g. in a regular Julia REPL, you have to add the Markdown.jl package. Enter package mode with ]
, then enter add Markdown
, then press “delete” to return to REPL, then enter using Markdown
.]
Now that we have a good envirnoment set up to write and save more complex programs, we’ll learn about control flow, the way you can design a program to do different sets of code depending on the state of one or more variables.