path: root/2020/subtitles/emacsconf-2020--33-maxima-a-computer-algebra-system-in-emacs--fermin.sbv

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you are now unmuted

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okay can you guys hear me yeah

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can you guys hear me sir yep I can and

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we're live so take it away okay

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so um hello everyone my name is ferming

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I'm a programmer

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a math student from spain I've been

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using me e-max for

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two years now more or less and today I'm

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going to talk about

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a maxima computer algebra system in 2

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max

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so let's talk about what is maxima

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well maxim is a system for manipulation

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of symbolic and numerical expression

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and it's similar in some regard to

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octave

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and it's also free software is derived

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from the maxima from the 60 from the m80

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and it's written in common lisp which is

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a language that I really

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like I enjoy writing it so for me it's a

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plus

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okay so let's talk about the initial

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support for maxima when I first started

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using it I looked for support into Emacs

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and I found that

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there's two major modes in the main

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repository of maxima

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for remax the first one is imaxima which

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I don't know too much about it

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and the second one is maxima dot l which

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is the one I took first

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and it was pretty nice has like a major

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mode a minor mode

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a nice ripple but it also has some

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disadvantage

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and the first one is that is quite

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outdated I think

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it was from the 2007

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so it's not tested with the current

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email version and the second one

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is that it doesn't use modern e-max

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capability

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I'm talking for example about the last

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or more latex preview

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from the last a max 27.1 I think

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and that's why is that they know

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integrated with common third party

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extension I'm talking about company for

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example third party

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yeah you know the alpa melba packages

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so uh this stock is going to be divided

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in two parts the first one is going to

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be how I maximize my date today

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in max exercise don't worry it's going

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to be

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quite easy and the second one is going

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to be why for the package

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and the list improvement that I did and

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a couple of things more maybe the future

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and where's the package right now if you

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can use it so

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let's talk about the workflow so right

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out of the box it has like an

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orimal support I didn't write this it

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was already

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in Emacs

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so that's pretty nice let's go with a

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simple example

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okay so this is an array of three

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equations and three variables

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so it's a system that can be solved and

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the solution is unique

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um so we're going to solve it right

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let's go

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solutions okay here's how you define a

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variable

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in it's called solve okay

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it's called implicit explicit

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sorry okay and now an array of

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our variables actually okay

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so first of all we have to send this

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variable to the maxima

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repo with we can do that with ctrl c

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control c

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or with the maxima send line

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okay so let's um let's put the maxima

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buffer right here

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okay let's so um

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right now we can get the solution like

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this so we call already

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uh we call this line right now control

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sequence to c

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as you can see we get like an array

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inside an array because

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uh let's see why we get this so we can

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call maxima

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help a point this will open a

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dock um buffer with all information

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about the

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solve function so we can see that this

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list of solution equations

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you can see it okay so but we no we know

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that this system only have one solution

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so we're only interested in the first

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one we can do this like pretty easily

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just to take the first one

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we can send it to the buffer so this is

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quite easy example as you can see

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they have to completion much of the help

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facilities that we have

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we can also get information about the

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symbol for example maxima

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symbol doc and we get in the and now you

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can see

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correctly in the mini buffer all the

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possible

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um parameter of the function

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right so let's continue

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okay so let's go to a more well

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complicated example to say oops

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okay so we have this

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equation and we want to go from -1 to 5

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I want to show in a nice

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graph right first of all we begin

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sending this line to the

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maxima ripple hold it button again

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okay um so this is not ideal if you want

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to write down this equation because

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it's quite messy what is when so

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uh what's thing are where so we can call

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the function maxima

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let's say insert form okay

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and this is more easy this basically put

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text behind

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and led or mode to render it and this is

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quite easy to

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write down you can use it like in every

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expression so um first we have to call a

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library

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let's load the library library draw

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we have also completion for local

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variable and local

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libraries sorry let me try to finish

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draw okay and we send the line

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so right now we have a leverage and we

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should even have auto completion for the

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library function

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okay we have let's call draw2d

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and now we can call implicit we should

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have

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okay and we can I mean put the variable

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of equations we put the first variable d

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minus

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five d five five

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the v variable the minus five and the

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five

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okay it should be all all good so let me

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try to send it

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okay you cannot see it right now because

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I'm just sharing the maxima screen let

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me try to change that

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okay um

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okay can you plot hello

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okay so this is basically the graph that

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I can upload generates

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uh right now it's not integrated into

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into the maximum package but it's a work

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in progress

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so let's go back to Emacs

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uh where are you okay there you are okay

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okay so um

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let's continue so uh this is some of the

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things that you can use

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for your day-to-day programming in

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maxima

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let's go now with the

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okay as you can see this is just text

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that is render

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okay let's go within a slide this is how

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I use maxima a simple example you don't

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want to

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talk too much about it because everyone

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use the package in a different way

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so right now I'm going to talk about the

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original package and

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the way I change it right so the

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documentation

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of the original was great but for me it

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wasn't embedded in the code

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it was something sometimes hard to read

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like it was like a big

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chunk of comment it gave me all the

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information

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like um for me that's too much I prefer

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a cohesive small comment and then a big

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redmi will order

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all the links and information so that's

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one of the first thing I

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change um then also completion I'm a big

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fan

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I'm used to slime so I'm I love

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great auto completion so um the first

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thing that I noticed that well

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it uses an absolute function I don't

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know if you can see correctly okay

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comment dynamic is deprecated and it

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also have like this

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variable which is maximus symbol which

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is basically a big

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list of all the possible completions so

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if I load the library it's not aware of

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the new symbols or even if I

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create a variable it's not loaded so

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it's not dynamic

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so I want the first thing I want is

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dynamic completion right

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so I improve it which wasn't that hard

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I first of all create maximum completion

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which we're going to see in a moment

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and then it changes completion region so

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this is the

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improved version but the good thing is

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like I decoupled the completion function

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so I make that you can use it on your

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own so you get a prefix

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which is um like

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the thing that you're going to also

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complete you get the inferior process

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which I'm going to talk about later but

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basically it's a maxima process you can

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work with

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and you get an optional argument which

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is fuzzy finding

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okay so you can easily send a block here

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what

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uh with the propos which is a maxima

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command that gets you

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all the auto completion and then you

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process the

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the output and you return a list

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of possible completion this function can

0:09:20.480,0:09:24.800
be easily put into

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company as you can see you just

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get maximum auxiliary inferior process

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is a process that just

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uses sorry I have of

0:09:32.080,0:09:36.480
all the apropos and the get that symbol

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it's like uh

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like you say auxiliary let's help me uh

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for that dirty stuff

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so and process manipulation let's talk

0:09:43.680,0:09:46.959
about

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how the maxima process was in the

0:09:46.959,0:09:50.720
beginning

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so at first it was just one process and

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you send all of the things there

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and you move the processor here and

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there and

0:09:56.320,0:09:59.600
there was a global state right so all

0:09:58.160,0:10:02.000
the function depends on

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variable global variables and I don't

0:10:02.000,0:10:07.680
like that approach I prefer more like a

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shirt to say functional like you sense

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one of things and you return

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something so it's not like a void

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function so to say

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so I change it recipe uh well this is

0:10:16.399,0:10:20.959
the maxima start function now

0:10:18.079,0:10:22.560
let's just create a startup process with

0:10:20.959,0:10:23.680
this function which is maxima make

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inferior

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so this function just gets a name

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and it return a process of maxima and

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you can then manipulate it the way you

0:10:31.519,0:10:35.600
want

0:10:32.240,0:10:36.800
let's see a better version so this is

0:10:35.600,0:10:39.200
the opposite right this

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remove an inferior process and delete

0:10:39.200,0:10:43.440
the process and kill the buffer

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right so let's give an example because

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this you can see pretty easily in this

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example

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so I want to go to the scratch buffer

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which I think you can see it better

0:10:51.519,0:10:55.760
okay so this is the way you can get a

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process with your name

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and save it into a variable right let's

0:10:58.320,0:11:02.880
execute this so as you can see well

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I don't know if you can see big you get

0:11:02.880,0:11:05.839
a process

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let's go to it the process called my

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maxima

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as the buffer right and if we can you

0:11:09.519,0:11:12.240
can send

0:11:10.079,0:11:14.959
stuff to the process right we can call

0:11:12.240,0:11:16.880
maximus in block get a block of valid

0:11:14.959,0:11:17.760
maxima code and just pass the variable

0:11:16.880,0:11:20.800
the process

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and we send code to the process right we

0:11:20.800,0:11:23.440
can

0:11:21.519,0:11:25.760
this is useful if you have some

0:11:23.440,0:11:28.480
expensive computation that you want

0:11:25.760,0:11:29.680
to process laser to say so the process

0:11:28.480,0:11:32.640
can manage it

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and when you get the results correctly

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you can also get the result from the

0:11:33.920,0:11:35.920
process

0:11:34.399,0:11:38.000
I mean I don't put it here but quite

0:11:35.920,0:11:41.200
easy and then you

0:11:38.000,0:11:42.079
removed in favor which is the way to get

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rid of the process

0:11:42.079,0:11:45.279
and the buffer so if we call this

0:11:43.600,0:11:48.399
function we should get rid of the

0:11:45.279,0:11:49.920
this process and it works the processing

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is no longer

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I'm happy to continue so um

0:11:54.160,0:11:57.680
other things that improve the package on

0:11:56.160,0:11:59.760
my commitment during time

0:11:57.680,0:12:01.360
I'm going good okay another thing that I

0:11:59.760,0:12:02.560
did to the package was to add

0:12:01.360,0:12:04.959
continue integration and continue

0:12:02.560,0:12:06.320
delivery right so the package didn't

0:12:04.959,0:12:09.440
have any tests

0:12:06.320,0:12:12.959
and the code was a little bit messy so

0:12:09.440,0:12:16.560
I add integration a test

0:12:12.959,0:12:19.519
and test with the test simple framework

0:12:16.560,0:12:20.560
from rocky bursting the maintainer of

0:12:19.519,0:12:23.279
real

0:12:20.560,0:12:24.079
good which is a great package by the way

0:12:23.279,0:12:25.920
um

0:12:24.079,0:12:28.079
yeah this is one example of the process

0:12:25.920,0:12:29.760
so right now because um

0:12:28.079,0:12:31.680
the infrastructure of the process

0:12:29.760,0:12:33.680
management is decoupled

0:12:31.680,0:12:35.200
so I can test it pretty easily this is

0:12:33.680,0:12:37.519
the test function of the

0:12:35.200,0:12:39.519
inferior running so I can check if an

0:12:37.519,0:12:41.440
inferior is running right now

0:12:39.519,0:12:43.200
and I can just delete it after and get

0:12:41.440,0:12:45.279
the results

0:12:43.200,0:12:46.959
and I also did some integration with the

0:12:45.279,0:12:48.639
party packages the first one company of

0:12:46.959,0:12:50.880
course I love auto completion

0:12:48.639,0:12:53.839
the second one was hormone that was

0:12:50.880,0:12:56.880
already there and latex with the

0:12:53.839,0:13:00.079
um or logic insert form

0:12:56.880,0:13:02.959
and with poly mode because um let me

0:13:00.079,0:13:03.680
evaluate this maxima can understand lisp

0:13:02.959,0:13:06.959
code

0:13:03.680,0:13:10.000
well more or less it has like a

0:13:06.959,0:13:11.279
function so to say that you can send a

0:13:10.000,0:13:13.600
list command to the

0:13:11.279,0:13:14.480
maxima rebel and you can understand it

0:13:13.600,0:13:17.839
in some way so

0:13:14.480,0:13:20.959
we can go to the maxima poly

0:13:17.839,0:13:22.800
only maxima right you enable polymaxima

0:13:20.959,0:13:25.519
and it creates a polymode

0:13:22.800,0:13:26.399
which this is lisp code and this is

0:13:25.519,0:13:28.639
maxima code

0:13:26.399,0:13:30.560
so we can send this to the maxima ripple

0:13:28.639,0:13:34.240
we come to c control r which

0:13:30.560,0:13:37.760
it sends the um the current

0:13:34.240,0:13:40.160
um area region sorry

0:13:37.760,0:13:41.839
and we define a variable which is called

0:13:40.160,0:13:44.000
test and as we can see we have the

0:13:41.839,0:13:47.360
variable test right here so you can

0:13:44.000,0:13:48.079
program in lisp and you can send it to

0:13:47.360,0:13:50.399
maxima

0:13:48.079,0:13:51.920
so this is pretty good pretty nice um

0:13:50.399,0:13:55.040
working integration with

0:13:51.920,0:13:57.120
the slime mode and with swank so you can

0:13:55.040,0:13:59.120
actually have a completion of

0:13:57.120,0:14:00.959
a function inside the maximal list

0:13:59.120,0:14:02.800
package but

0:14:00.959,0:14:04.399
this is going to take quite a while

0:14:02.800,0:14:07.360
because it's not trivial

0:14:04.399,0:14:09.440
so um we're the feature of maxima right

0:14:07.360,0:14:11.519
now well we have fonts highlighting

0:14:09.440,0:14:14.480
smart indentation uh it was already in

0:14:11.519,0:14:16.880
the package but now it's quite better

0:14:14.480,0:14:18.160
great help functions right now I can

0:14:16.880,0:14:20.800
find the recommendation quite

0:14:18.160,0:14:22.160
fast and currently the menu integration

0:14:20.800,0:14:23.120
this is quite basic it needs to be a

0:14:22.160,0:14:25.199
little bit improved

0:14:23.120,0:14:26.720
uh latex support also completion the

0:14:25.199,0:14:28.480
company and maximizer process

0:14:26.720,0:14:29.120
integration and mini buffer I didn't

0:14:28.480,0:14:32.880
show you

0:14:29.120,0:14:34.639
but basically if you call global maxima

0:14:32.880,0:14:36.720
minor mode you have the minor mode you

0:14:34.639,0:14:38.399
call maxima mini buffer

0:14:36.720,0:14:40.720
how are you okay mini buffer you can

0:14:38.399,0:14:42.720
basically just write simple maxima

0:14:40.720,0:14:45.920
command and it will give you the result

0:14:42.720,0:14:48.959
this is like a permanent version of um

0:14:45.920,0:14:50.560
calc so you can do it you write the

0:14:48.959,0:14:52.320
command and you get the output uh way

0:14:50.560,0:14:56.079
more to come I have like a list

0:14:52.320,0:14:58.880
of issues that I put enhancement a new

0:14:56.079,0:15:01.199
feature that I'm going to develop

0:14:58.880,0:15:03.120
so uh the future under presence of the

0:15:01.199,0:15:06.880
package well the package is right now

0:15:03.120,0:15:10.720
melpa a melba stable um

0:15:06.880,0:15:13.360
in this 0.7.6 version

0:15:10.720,0:15:15.279
and I'm planning to include into the

0:15:13.360,0:15:16.720
known canoe alpha

0:15:15.279,0:15:18.959
this is the url of the package by the

0:15:16.720,0:15:20.079
way so you can if you go to metapod you

0:15:18.959,0:15:22.160
put maxima and

0:15:20.079,0:15:23.199
you can download it it doesn't have too

0:15:22.160,0:15:26.639
much dependencies

0:15:23.199,0:15:27.120
you aware of that um and thank you very

0:15:26.639,0:15:28.720
much

0:15:27.120,0:15:30.959
uh this is going to be my talk these are

0:15:28.720,0:15:33.519
my uh information

0:15:30.959,0:15:34.000
this is my gitlab this is my page which

0:15:33.519,0:15:37.120
I don't

0:15:34.000,0:15:40.240
love too much and this is my email

0:15:37.120,0:15:41.839
so um thank you very much and I will be

0:15:40.240,0:15:44.720
answering some questions right now

0:15:41.839,0:15:44.720
and happy hacking

0:15:45.600,0:15:52.720
you are now unmuted thank you very much

0:15:49.600,0:15:55.759
vermin for the great talk um okay yeah

0:15:52.720,0:15:58.800
let's see if you have any questions

0:15:55.759,0:16:01.759
uh yeah I'm reading like this um

0:15:58.800,0:16:04.079
so I'm a buddy october usually right now

0:16:01.759,0:16:04.079
okay

0:16:04.560,0:16:08.639
maxima over october yep there are a

0:16:06.880,0:16:11.519
couple questions

0:16:08.639,0:16:12.160
wow maxima we're okay I don't want to I

0:16:11.519,0:16:13.940
don't know

0:16:12.160,0:16:15.680
october that much um

0:16:13.940,0:16:17.839
[Music]

0:16:15.680,0:16:18.880
like I use it like a couple of times but

0:16:17.839,0:16:24.000
I'm not happy

0:16:18.880,0:16:27.120
and I found the octave packets to be

0:16:24.000,0:16:31.519
quite a little bit harder to understand

0:16:27.120,0:16:33.839
and also that

0:16:31.519,0:16:35.680
it didn't have too much features like I

0:16:33.839,0:16:37.839
prefer the maximum used to

0:16:35.680,0:16:38.880
maybe octave is better I don't I'm not

0:16:37.839,0:16:40.800
100 sure

0:16:38.880,0:16:42.079
I know that you can use it for similar

0:16:40.800,0:16:45.920
stuff but

0:16:42.079,0:16:45.920
that's it so sorry

0:16:47.120,0:16:54.079
okay I'm in a little bit of a rush sorry

0:16:50.959,0:16:56.399
let me drink a little blue okay

0:16:54.079,0:16:56.399
okay

0:17:00.639,0:17:08.000
okay how does maxima compare to sagemath

0:17:05.280,0:17:08.000
in imax

0:17:08.959,0:17:17.439
I mean I don't know what is sage

0:17:13.360,0:17:18.079
math I'm sorry um so I cannot answer

0:17:17.439,0:17:21.839
your question

0:17:18.079,0:17:25.039
with your question I think um

0:17:21.839,0:17:26.720
sorry but I mean maxima is ready in

0:17:25.039,0:17:28.000
combo list that's just a preference for

0:17:26.720,0:17:31.120
me because I like

0:17:28.000,0:17:35.520
lisp dialect and common lisp is

0:17:31.120,0:17:35.520
interesting um

0:17:36.400,0:17:42.720
yeah do you plan to

0:17:40.480,0:17:43.840
I mean a maximum organization for maxima

0:17:42.720,0:17:47.360
code block

0:17:43.840,0:17:50.720
yes I want to improve the um

0:17:47.360,0:17:52.000
of maxima package but I didn't have

0:17:50.720,0:17:54.400
enough time and I want to

0:17:52.000,0:17:57.200
clear a little bit of the code because

0:17:54.400,0:17:57.200
still right now

0:17:58.000,0:18:02.080
the code is quite messy in some areas

0:18:00.080,0:18:03.520
because I pretty much implement first

0:18:02.080,0:18:05.600
the base function I want to

0:18:03.520,0:18:07.120
build on top of so right now it's quite

0:18:05.600,0:18:07.919
usable but I still have something that I

0:18:07.120,0:18:11.120
want to improve

0:18:07.919,0:18:14.799
so when I finish that I will

0:18:11.120,0:18:16.640
improve the normal version I think

0:18:14.799,0:18:18.640
it's maximizing to get into into your

0:18:16.640,0:18:21.200
opinion yes I

0:18:18.640,0:18:21.919
I think that the creator of maxima like

0:18:21.200,0:18:26.400
have this

0:18:21.919,0:18:26.400
lisp mine and probably

0:18:26.640,0:18:30.559
that they if you go to a symbol you get

0:18:29.520,0:18:33.520
all the information

0:18:30.559,0:18:36.480
and that reflects that you can actually

0:18:33.520,0:18:40.000
write your program of maxima into

0:18:36.480,0:18:40.799
um into lisp literally because they have

0:18:40.000,0:18:42.480
a command

0:18:40.799,0:18:44.880
so I think that is quite easy to get

0:18:42.480,0:18:48.240
into some university use it for

0:18:44.880,0:18:51.200
um first um

0:18:48.240,0:18:53.039
years so it's quite easy and I think

0:18:51.200,0:18:56.640
with my package you can use it

0:18:53.039,0:18:58.960
like pretty pretty easily just create a

0:18:56.640,0:19:00.880
file and you can start typing and

0:18:58.960,0:19:04.400
maximize quite easy to install also

0:19:00.880,0:19:07.600
so I think yeah it's crazy and

0:19:04.400,0:19:10.080
the page should restart I don't know why

0:19:07.600,0:19:10.080
sorry

0:19:18.320,0:19:25.440
strict in fixed lisp syntax

0:19:22.559,0:19:26.240
you're talking about the maxima itself

0:19:25.440,0:19:27.760
syntax

0:19:26.240,0:19:30.160
or I don't understand the question

0:19:27.760,0:19:30.160
correctly

0:19:32.240,0:19:35.440
well I'm going to go to the next

0:19:33.679,0:19:37.360
question is there

0:19:35.440,0:19:38.880
support for images in maximum mode not

0:19:37.360,0:19:43.840
right now

0:19:38.880,0:19:43.840
the way I want to implement some imax

0:19:45.280,0:19:51.280
things uh is there support for

0:19:49.120,0:19:53.360
but right now it doesn't have like a if

0:19:51.280,0:19:55.600
you could want to have a new plot

0:19:53.360,0:19:56.720
um inside you buffer right now it's not

0:19:55.600,0:19:59.360
possible so

0:19:56.720,0:20:01.200
that's the thing that I maximized that

0:19:59.360,0:20:03.520
maxima.l still doesn't

0:20:01.200,0:20:04.720
do which university you start to use

0:20:03.520,0:20:08.799
maxima um

0:20:04.720,0:20:11.840
in this aragosa university from spain

0:20:08.799,0:20:12.640
they used to maximize the um thing in

0:20:11.840,0:20:16.400
the engineer

0:20:12.640,0:20:18.320
and in the math also so I'm 100 sure

0:20:16.400,0:20:19.679
right now but when I started

0:20:18.320,0:20:22.559
are you planning to option your package

0:20:19.679,0:20:25.440
into maxima um I don't know about that

0:20:22.559,0:20:26.320
because uh maybe can be a little bit

0:20:25.440,0:20:30.720
messy

0:20:26.320,0:20:32.960
um because the maxima ripple is more

0:20:30.720,0:20:33.360
built around like maxima itself and they

0:20:32.960,0:20:37.600
don't

0:20:33.360,0:20:42.240
update the interfaces that much

0:20:37.600,0:20:45.360
I have no problem like it's okay it just

0:20:42.240,0:20:46.320
you have to um if you want to push you

0:20:45.360,0:20:48.480
can push in other

0:20:46.320,0:20:49.520
repository I mean it's just changed the

0:20:48.480,0:20:52.880
file another way

0:20:49.520,0:20:54.080
but also the test um is going to be a

0:20:52.880,0:20:55.200
little bit harder because I think

0:20:54.080,0:20:59.120
they're using

0:20:55.200,0:21:01.200
search for and I'm using

0:20:59.120,0:21:02.159
git lab continue integration within the

0:21:01.200,0:21:06.799
jury

0:21:02.159,0:21:09.679
so yeah I don't think that now unmuted

0:21:06.799,0:21:09.679
yeah it will be nice

0:21:10.799,0:21:14.840
okay um it's possible to include

0:21:12.799,0:21:16.480
maximizing or false similar to jupiter

0:21:14.840,0:21:19.919
notebooks

0:21:16.480,0:21:23.280
um I mean you can uh use maximize your

0:21:19.919,0:21:26.320
or files and you have maximum l mod

0:21:23.280,0:21:31.520
integrated and you can like create put

0:21:26.320,0:21:34.400
that code into a buffer and then

0:21:31.520,0:21:36.159
uh edited correctly but it is now not it

0:21:34.400,0:21:37.679
doesn't have like all the features like

0:21:36.159,0:21:40.480
other languages because

0:21:37.679,0:21:42.320
right now uh as my understanding is

0:21:40.480,0:21:45.440
quite basic so I still have some

0:21:42.320,0:21:47.679
still needs some some stuff some work

0:21:45.440,0:21:47.679
around

0:21:47.919,0:21:51.760
okay I think that's it

0:21:52.320,0:21:55.440
you are now unmuted

0:21:56.320,0:22:01.919
yep so that's it uh thank you very much

0:21:59.600,0:22:04.640
fermin for your live talk and for you

0:22:01.919,0:22:07.679
know the live q a

0:22:04.640,0:22:09.840
thank you all amazing uh max conf

0:22:07.679,0:22:10.720
cheers thank you it's thanks to you all

0:22:09.840,0:22:16.240
you guys

0:22:10.720,0:22:16.240
it's awesome okay thank you cheers bye

0:22:16.840,0:22:19.840
bye