{"id":2947,"date":"2022-11-24T17:59:54","date_gmt":"2022-11-24T12:29:54","guid":{"rendered":"https:\/\/www.rangakrish.com\/?p=2947"},"modified":"2022-11-24T17:59:54","modified_gmt":"2022-11-24T12:29:54","slug":"using-julia-from-mathematica","status":"publish","type":"post","link":"https:\/\/www.rangakrish.com\/index.php\/2022\/11\/24\/using-julia-from-mathematica\/","title":{"rendered":"Using Julia from Mathematica"},"content":{"rendered":"

In an earlier article<\/strong><\/em><\/a>, I had shown how it is possible to interact with Mathematica<\/strong><\/em><\/a> from Julia<\/strong><\/em><\/a>. In today\u2019s article, I will share the details of how to interact with Julia<\/strong><\/em> from within Mathematica<\/strong><\/em>.<\/p>\n

Why would somebody want to execute Julia<\/strong><\/em> code inside Mathematica<\/strong><\/em>? Although Mathematica<\/strong><\/em> is a great symbolic computing environment offering thousands of functions covering several areas, I might want to reuse some feature I have already implemented in Julia<\/strong><\/em> as part of some other project. Another reason is that sometimes implementing an algorithm in Julia<\/strong><\/em> to take advantage of multiple cores\/GPU might give us better performance than implementing that algorithm in Mathematica<\/strong><\/em>. There could be other valid reasons.<\/p>\n

In order to interact with Julia<\/strong><\/em>, first we must have installed Julia on our machine. In my case, I have Julia 1.8.2 running on my machine. In addition, Mathematica<\/strong><\/em> requires two packages \u201cZMQ\u201d<\/strong><\/em> and \u201cJSON\u201d<\/strong><\/em> to be installed in Julia<\/strong><\/em>. So, I did that:<\/p>\n

\"Installing<\/a>
Installing Julia<\/strong><\/figcaption><\/figure>\n

After installing the required packages, we can exit Julia<\/strong><\/em>. It need not be running in order to use from Mathematica<\/strong><\/em>.<\/p>\n

Next we launch Mathematica<\/strong><\/em>. To check if Julia<\/strong><\/em> is\u00a0 accessible, we evaluate the function \u201cFindExternalEvaluators[]\u201d<\/strong><\/em>.<\/p>\n

\"External<\/a>
External Evaluators<\/strong><\/figcaption><\/figure>\n

Mathematica<\/strong><\/em> responds with details of the Julia<\/strong><\/em> installation.<\/p>\n

There are three ways to interact with Julia<\/strong><\/em>. The most general is to call \u201cExternalEvaluate[]\u201d<\/strong><\/em> function.<\/p>\n

\"ExternalEvaluate<\/a>
ExternalEvaluate Function<\/strong><\/figcaption><\/figure>\n

The second way is to explicitly create a Julia<\/strong><\/em> session object using \u201cStartExternalSession[]\u201d<\/strong><\/em> function once and then pass the session object as an argument to \u201cExternalEvaluate[]\u201d<\/strong><\/em> subsequently.<\/p>\n

\"Creating<\/a>
Creating Explicit Julia Session<\/strong><\/figcaption><\/figure>\n

Notice that for calling a Julia<\/strong><\/em> function, we are using \u201c[]\u201d<\/strong><\/em> and not \u201c()\u201d<\/strong><\/em>.<\/p>\n

The nice thing is that we can now mix Julia <\/strong><\/em>and Mathematica<\/strong><\/em> expressions:<\/p>\n

\"Mixing<\/a>
Mixing Julia and Mathematica Expressions<\/strong><\/figcaption><\/figure>\n

Here we are calling the previously defined Julia<\/strong><\/em> function \u201cfactfn[]\u201d<\/strong><\/em> inside the Mathematica<\/strong><\/em> function \u201cSort[]\u201d<\/strong><\/em>. Also note that the function \u201cDeleteObject[]\u201d<\/strong><\/em> has to be called when the Julia<\/strong><\/em> session object is not needed anymore.<\/p>\n

The third way to interact with Julia<\/strong><\/em> is through the \u201cJulia Cell\u201d<\/strong><\/em>. For this, type \u201c>\u201d<\/strong><\/em> in the Mathematica<\/strong><\/em> Notebook. This will bring up an evaluation Cell<\/strong><\/em> corresponding to the default language (in my case, \u201cPython\u201d)<\/strong><\/em>. When you click on the Cell<\/strong><\/em> icon, a drop-down menu will appear. Select \u201cJulia\u201d<\/strong><\/em> from this list.<\/p>\n

\"Cell<\/a>
Cell Options<\/strong><\/figcaption><\/figure>\n

This will change the current Cell<\/strong><\/em> to Julia<\/strong><\/em> mode. You can now enter any Julia<\/strong><\/em> code in this Cell<\/strong><\/em>. Next time onward, when you type \u201c>\u201d<\/strong><\/em>, the Julia Cell<\/strong> <\/em>comes up automatically.<\/p>\n

This mode is convenient when your primary focus is Julia<\/strong><\/em> mode. Remember that in this mode, you cannot use non-Julia<\/strong><\/em> expressions\/commands.<\/p>\n

As shown above, interacting with Julia<\/strong><\/em> inside Mathematica<\/strong><\/em> is a simple process and is quite useful when you wish to take advantage of Julia\u2019s<\/strong><\/em> special capabilities inside Mathematica<\/strong><\/em>.<\/p>\n

About my test environment: I am using Julia 1.8.2<\/strong><\/em> and Mathematica 13.1<\/strong> <\/em>on my iMac<\/strong><\/em>.<\/p>\n

Have a great weekend!<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

In an earlier article, I had shown how it is possible to interact with Mathematica from Julia. In today\u2019s article, I will share the details of how to interact with Julia from within Mathematica. Why would somebody want to execute Julia code inside Mathematica? 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I have been using it for many years now. In this post\u00a0I had explained how we can use Mathematica bundled with Raspberry distribution to control littleBits devices. 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The simplest function to interact with the LLM is LLMSynthesize[]. As you might have guessed, this is a \u201csync\u201d (non-streaming) call. What if you expect a long\u2026","rel":"","context":"In "Mathematica"","block_context":{"text":"Mathematica","link":"https:\/\/www.rangakrish.com\/index.php\/category\/mathematica\/"},"img":{"alt_text":"Basic LLMSynthesize","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2025\/02\/fig1-300x21.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2025\/02\/fig1-300x21.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2025\/02\/fig1-300x21.png?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":1594,"url":"https:\/\/www.rangakrish.com\/index.php\/2019\/06\/08\/using-nodejs-in-mathematica-12\/","url_meta":{"origin":2947,"position":2},"title":"Using NodeJS in Mathematica 12","author":"admin","date":"June 8, 2019","format":false,"excerpt":"In an earlier article, I had described Python integration in Mathematica 12. In addition to Python, NodeJS is also supported as a default \u201cexternal\u201d language. In today\u2019s article, I will focus on NodeJS integration. By the way, NodeJS support was introduced in Mathematica 11.2. Before using NodeJS with Mathematica 12,\u2026","rel":"","context":"In "Mathematica"","block_context":{"text":"Mathematica","link":"https:\/\/www.rangakrish.com\/index.php\/category\/mathematica\/"},"img":{"alt_text":"NodeJS Session Continued","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/06\/Session2.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/06\/Session2.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/06\/Session2.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/06\/Session2.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":317,"url":"https:\/\/www.rangakrish.com\/index.php\/2016\/08\/31\/geo-computation-in-mathematica\/","url_meta":{"origin":2947,"position":3},"title":"Geo Computation in Mathematica","author":"admin","date":"August 31, 2016","format":false,"excerpt":"Mathematica has many useful features when it comes to Geo Computation. I wanted to check out some of these features for today's post. I travel between Chennai and Bengaluru on official work. So, let us start by determining the on-road distance between these cities. It turns out that this is\u2026","rel":"","context":"In "Mathematica"","block_context":{"text":"Mathematica","link":"https:\/\/www.rangakrish.com\/index.php\/category\/mathematica\/"},"img":{"alt_text":"Distance","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2016\/08\/Fig-1.png?resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2016\/08\/Fig-1.png?resize=350%2C200 1x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2016\/08\/Fig-1.png?resize=525%2C300 1.5x"},"classes":[]},{"id":3807,"url":"https:\/\/www.rangakrish.com\/index.php\/2025\/09\/12\/cyclic-function-in-mathematica-14-3\/","url_meta":{"origin":2947,"position":4},"title":"“Cyclic” Function in Mathematica 14.3","author":"admin","date":"September 12, 2025","format":false,"excerpt":"\u201cCyclic\u201d is a new function introduced in the recent Wolfram Mathematica 14.3 release. It represents a repeating sequence, something that we encounter often. For example, how do we represent the sequence {1,2,3,4,1,2,3,4,1,2,3,4\u2026}? \u201cCyclic\u201d captures this idea. In other words \u201cCyclic[{1,2,3,4}]\u201d denotes the same repeating sequence as above. 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