Graph Walking and Searching System in Common Lisp - common-lisp

I am wondering whether there is a standard open-source graph-walking and graph-searching utility that is used in Common Lisp world. We have a need for a utility/system that would be able to deal (search, walk, find paths, etc) with multi-graphs. If needed, we could make it open-source, but we certainly do not want to re-invent the wheel if one already exists.

There is clml.graph in clml, which might do some of the things you need. A quicklisp search (ql:system-apropos "graph") yields a managable number of more candidates to look at.
Other than that, there is of course Allegro Graph from Franz, which is a complete graph database. If you can stand all the marketing lingo.

Related

What are the main differences between CLISP, ECL, and SBCL?

I want to do some simulations with ACT-R and I will need a Common Lisp implementation. I have three Common Lisp implementations available: (1) CLISP [1], (2) ECL [1], and (3) SBCL [1]. As you might have gathered from the links I have read a bit about all three of them on Wikipedia. But I would like the opinion of some experienced users. More specifically I would like to know:
(i) What are the main differences between the three implementations (e.g.: What are they best at? Is any of them used only for specific purposes and might therefore not be suited for specific tasks?)?
(ii) Is there an obvious choice either based on the fact that I will be using ACT-R or based on general reasons?
As this could be interpreted as a subjective question
I checked What topics can I ask about here and What types of questions should I avoid asking? and if I read correctly it should not qualify as forbidden fruit.
I wrote a moderately-sized application and ran it in SBCL, CCL, ECL, CLISP, ABCL, and LispWorks. For my application, SBCL is far and away the fastest, and it's got a pretty good debugger. It's a bit strict about some warnings--you may end up coding in a slightly more regimented way, or turn off one or more warnings.
I agree with Sylwester: If possible, write to the standard, and then you can run your code in any implementation. You'll figure out through testing which is best for your project.
Since SBCL compiles so agressively, once in a while the stacktrace in the debugger is less informative than I'd like. This can probably be controlled with parameters, but I just rerun the same code in one of the other implementations. ABCL has an informative stacktrace, for example, as I recall. (It's also very slow, but if you want real Common Lisp and Java interoperability, it's the only option.)
One of the nice things about Common Lisp is how many high-quality implementations there are, most of them free.
For informal use--e.g. to learn Common Lisp, CCL or CLISP may be a better choice than SBCL.
I have never tried compiling to C using ECL. It's possible that it would beat SBCL on speed for some applications. I have no idea.
CLISP and LispWorks will not handle arbitrarily long argument lists (unless that's been fixed in the last couple of years, but I doubt it). This turned out to be a problem with my application, but would not be a problem for most code.
Doesn't ACT-R come out of Carnegie Mellon? What do its authors use? My guess would be CMUCL or SBCL, which is derived from CMUCL. (I only tried CMUCL briefly. Its interpreter is very slow, but I assume that compiled code is very fast. I think that most people choose SBCL over CMUCL, however.)
(It's possible that this question belongs on Programmers.SE.)
In general, SBCL is the default choice among open-source Lisps. It is solid, well-supported, produces fast code, and provides many goodies beyond what the standard mandates (concurrency primitives, profiling, etc.) Another implementation with similar properties is CCL.
CLISP is more suitable if you're not an engineer, or you want to quickly show Lisp to someone non-engineer. It's a pretty basic implementation, but quick to get running and user-friendly. A Lisp-calculator :)
ECL's major selling point is that it's embeddable, i.e. it is rather easy to make it work inside some C application, like a web-server etc. It's a good choice for geeks, who want to explore solutions on the boundary of Lisp and the outside world. If you're not intersted in such use case I wouldn't recommend you to try it, especially since it is not actively supported, at the moment.
Their names, their bugs and their non standard additions (using them will lock you in)
I use CLISP as REPL and testing during dev and usually SBCL for production. ECL i've never used.
I recommend you test your code with more than one implementation.

What is a good language to develop in for simple, yet customizable math programs?

I'm writing to ask for some guidance on choosing a language and course of action in learning programming. I apologize if this type of question is inappropriate for Cross Validated, please advise me to another forum if that is the case.
I've seen thread after thread with questions from newbies, asking, "What is the best language to start with?" and then it always starts a flame war or someone just answers, "There's no best language, it's best to pick one and start learning it." My question is a little bit more focused than that.
First off, I've been programming my whole life, in very limited capacities. My deepest training was in C++. Whilst in my EECS degree program, I resolved to never be a software developer because I couldn't stand not interacting with people for such long periods of time. Instead I realized I wanted to be a math teacher, and so that is the path I have taken.
But now that I'm well down that path, I've started to realize that perhaps I could develop my own software to help me in the classroom. If I want to demonstrate the Euclidean algorithm, what better way than to have a piece of software that breaks down the process? Students could run that software as part of their studies, and the advanced students might even develop programs for themselves. Or, with an Ipad in hand, why not have an app that lets students take their own attendance? It would certainly streamline some of the needs of classroom management.
There's obviously a lot of great stuff already out there for math, and for education, but I want a way to more directly create things specific to my lectures. If I'm teaching a specific way of calculating a percent, I want to create an app that aligns with my teaching style, not just another calculator app that requires the student to learn twice.
The most I use in class right now is iWork Numbers/Microsoft Excel for my stats class. Students can learn the basic statistical functions, and turn some of their data into graphs.
I have dabbled a bit with R, and used Maple in college. I've started the basic tutorials for OS X/iOS development and have actually made good progress making an OS X app that takes a text string, converts it to numbers, and performs encryption using modular addition and multiplication. I sometimes use Wolfram|Alpha to save myself some time in getting quick solutions to equations or base conversions. I know of MatLab, Mathematica, and recently people have been telling me to check into Python or Ruby. I also know basic HTML, and while it's forgotten now, learned Javascript and PERL in college.
If I keep on the path of Obj-C/Cocoa, I think it will have great benefits. Unfortunately, anything I produced for Mac would only be usable on a Mac, so it wouldn't be universal for all of my students. Perhaps then learning a web language would be better. Second, I'm wondering if the primary use is mathematical, then perhaps my time would be better spent learning Mathematica Programming Language, or R, or something based less on GUI and more on simple coding of algorithms, maybe Python or Ruby?
It seems that Mathematica already has a lot of demos for different math concepts, so why reinvent the wheel is also a question I have. I think overall, it would be good to have more control and design things the way I need. And then, if I do want to make an "Attendance" app or something else, I would already have the programming experience to more easily design something for my iPad or MacBook.
The related question to this is what is a good language to teach to my students? In his TED talk, Conrad Wolfram says one of the best ways to check the understanding of a student is have them write a program. But if Mathematica does the math virtually automatically for them, then I'm not sure that will get the deeper experience of working out logic for themselves, like you do when you're writing C, or a traditional procedural language.
I know that programming takes time to learn, but I also know that at this point, my goal is not to be able to make an app like "Tiny Wings." With the app store ease, some of my work may be an extra revenue stream, but I see myself as more of a hobbyist, and now teacher looking to software development specifically for its ability to help me demonstrate mathematical concepts.
I think I will push ahead with Obj-C/Cocoa for OSX/iOS, but if anyone has some better guidance regarding all of the other available stuff, it would be much appreciated. I don't think I would want to go fully to the web (I like apps), but perhaps someone could suggest a nice way of bridging what I produce in XCode to a universal web version. For example, if you come up with an algorithm in obj-c is it easiest to transition that to ruby and run it online, or is there another approach that works better?
Mathematica is pretty awesome for the first part of your question. I've used the interactive mode (Manipulate[]) for explaining things to my colleges (and myself). It makes really nice dynamic figures and is fairly expressive (although your code can end up looking like line noise). It is very powerful, but it does far less for you than you might think. It's pretty intuitive, which is a good thing for teaching.
You could use Scala if you want an "easy" way to make a domain specific language for teaching. Python seems to confuse people as a first programming language. Objective C seems like a completely random choice to me.
Mathematica then. It's worth the price. But anything that is interpreted and has an interactive shell is probably better than a compiled language. BBC BASIC?
Nothing beats Haskell for general-purpose mathematical programming. The wiki's quite extensive and the IRC channel (#haskell on Freenode) is great for asking questions. If you statically link your binaries on compilation, you should be able to run your programs on just about any system (with a few exceptions, e.g., libgmp).
Haskell code reads (roughly) like mathematical notation once you get the hang of it, so it can really help to tie things together for your students who are motivated to write their own programs. The purely functional style can be beneficial, as well, since it focuses less on I/O and the marshalling of data (perfectly useful in applications, perhaps less so in pure math), and more on the actual creation and refinement of functions and algorithms. You can even compose functions just as you would on paper.
If you want to get really serious, you could also look into Coq or Agda, but those might be a bit much for most classes.
For a Haskell program idea for an educator, check out this link.
A nice list of arguments can also be found at:
Eleven Reasons to use Haskell as a Mathematician and the book The Haskell Road to Logic, Maths and Programming

What do I need to do to get paid to Scheme?

I'm a big fan of functional programming in general, Schemes in particular, and PLT-Racket ideally. I am wondering what concrete steps are likely to get me into a position where coding Scheme (or some functional language) is the bulk of the work.
I'm actually quite interested in academia, but on the other hand, I don't feel like I necessarily have what it takes (at least not at the moment) to do a top-tier Ph.D in CS. I definitely would prefer to have some real-world experience putting complex systems together in Scheme either way. Does anyone have any advice for an aspiring Schemer?
Start writing some Scheme libraries, then blog about the libraries you've wrote, get noticed in the community.
This will always give you leverage when applying for a position, employers like to have some evidence of what you can do.
dalton has the right idea; you want to build something you can show off. To find out about needs, you could go to http://srfi.schemers.org/, which is an archive of proposals for Scheme libraries and other improvements to Scheme, and see what you think you can contribute to. Or make contact with the Racket team; you may be able to contribute to Racket directly.
If you want to leverage something popular and in the news: App Inventor is based on Google Blocks, which are in turn based on Kawa, which is a Scheme dialect [*].
If you can show off your skills by putting together blocks and making them available for the community...it's a natural way to take advantage both of your multi-language skills and something currently getting press coverage.
Regards,
Dak
[*] and I forgot to say that earlier, mea culpa!
Not going to accept my own answer because it is, in general, worse than the one #dalton gave, but!
I got a grant through Turbulence.org to write an art and thus was paid to scheme! Or racket, if you want to be a pedant. repo here...
F# is getting popular in the finance sector:
http://cs.hubfs.net/forums/thread/16004.aspx

Modelling / documenting functional programs

I've found UML useful for documenting various aspects of OO systems, particularly class diagrams for overall architecture and sequence diagrams to illustrate particular routines. I'd like to do the same kind of thing for my clojure applications. I'm not currently interested in Model Driven Development, simply on communicating how applications work.
Is UML a common / reasonable approach to modelling functional programming? Is there a better alternative to UML for FP?
the "many functions on a single data structure" approach of idiomatic Clojure code waters down the typical "this uses that" UML diagram because many of the functions end up pointing at map/reduce/filter.
I get the impression that because Clojure is a somewhat more data centric language a way of visualizing the flow of data could help more than a way of visualizing control flow when you take lazy evaluation into account. It would be really useful to get a "pipe line" diagram of the functions that build sequences.
map and reduce etc would turn these into trees
Most functional programmers prefer types to diagrams. (I mean types very broadly speaking, to include such things as Caml "module types", SML "signatures", and PLT Scheme "units".) To communicate how a large application works, I suggest three things:
Give the type of each module. Since you are using Clojure you may want to check out the "Units" language invented by Matthew Flatt and Matthias Felleisen. The idea is to document the types and the operations that the module depends on and that the module provides.
Give the import dependencies of the interfaces. Here a diagram can be useful; in many cases you can create a diagram automatically using dot. This has the advantage that the diagram always accurately reflects the code.
For some systems you may want to talk about important dependencies of implementations. But usually not—the point of separating interfaces from implementations is that the implementations can be understood only in terms of the interfaces they depend on.
There was recently a related question on architectural thinking in functional languages.
It's an interesting question (I've upvoted it), I expect you'll get at least as many opinions as you do responses. Here's my contribution:
What do you want to represent on your diagrams? In OO one answer to that question might be, considering class diagrams, state (or attributes if you prefer) and methods. So, obviously I would suggest, class diagrams are not the right thing to start from since functions have no state and, generally, implement one function (aka method). Do any of the other UML diagrams provide a better starting point for your thinking? The answer is probably yes but you need to consider what you want to show and find that starting point yourself.
Once you've written a (sub-)system in a functional language, then you have a (UML) component to represent on the standard sorts of diagram, but perhaps that is too high-level, too abstract, for you.
When I write functional programs, which is not a lot I admit, I tend to document functions as I would document mathematical functions (I work in scientific computing, lots of maths knocking around so this is quite natural for me). For each function I write:
an ID;
sometimes, a description;
a specification of the domain;
a specification of the co-domain;
a statement of the rule, ie the operation that the function performs;
sometimes I write post-conditions too though these are usually adequately specified by the co-domain and rule.
I use LaTeX for this, it's good for mathematical notation, but any other reasonably flexible text or word processor would do. As for diagrams, no not so much. But that's probably a reflection of the primitive state of the design of the systems I program functionally. Most of my computing is done on arrays of floating-point numbers, so most of my functions are very easy to compose ad-hoc and the structuring of a system is very loose. I imagine a diagram which showed functions as nodes and inputs/outputs as edges between nodes -- in my case there would be edges between each pair of nodes in most cases. I'm not sure drawing such a diagram would help me at all.
I seem to be coming down on the side of telling you no, UML is not a reasonable way of modelling functional systems. Whether it's common SO will tell us.
This is something I've been trying to experiment with also, and after a few years of programming in Ruby I was used to class/object modeling. In the end I think the types of designs I create for Clojure libraries are actually pretty similar to what I would do for a large C program.
Start by doing an outline of the domain model. List the main pieces of data being moved around the primary functions being performed on this data. I write these in my notebook and a lot of the time it will be just a name with 3-5 bullet points underneath it. This outline will probably be a good approximation of your initial namespaces, and it should point out some of the key high level interfaces.
If it seems pretty straight forward then I'll create empty functions for the high level interface, and just start filling them in. Typically each high level function will require a couple support functions, and as you build up the whole interface you will find opportunities for sharing more code, so you refactor as you go.
If it seems like a more difficult problem then I'll start diagramming out the structure of the data and the flow of key functions. Often times the diagram and conceptual model that makes the most sense will depend on the type of abstractions you choose to use in a specific design. For example if you use a dataflow library for a Swing GUI then using a dependency graph would make sense, but if you are writing a server to processing relational database queries then you might want to diagram pools of agents and pipelines for processing tuples. I think these kinds of models and diagrams are also much more descriptive in terms of conveying to another developer how a program is architected. They show more of the functional connectivity between aspects of your system, rather than the pretty non-specific information conveyed by something like UML.

Is a functional language a good choice for a Flight Simulator? How about Lisp?

I have been doing object-oriented programming for a few years now, and I have not done much functional programming. I have an interest in flight simulators, and am curious about the functional programming aspect of Lisp. Flight simulators or any other real world simulator makes sense to me in an object-oriented paradigm.
Here are my questions:
Is object oriented the best way to represent a real world simulation domain?
I know that Common Lisp has CLOS (OO for lisp), but my question is really about writing a flight simulator in a functional language. So if you were going to write it in Lisp, would you choose to use CLOS or write it in a functional manner?
Does anyone have any thoughts on coding a flight simulator in lisp or any functional language?
UPDATE 11/8/12 - A similar SO question for those interested -> How does functional programming apply to simulations?
It's a common mistake to think of "Lisp" as a functional language. Really it is best thought of as a family of languages, probably, but these days when people say Lisp they usually mean Common Lisp.
Common Lisp allows functional programming, but it isn't a functional language per se. Rather it is a general purpose language. Scheme is a much smaller variant, that is more functional in orientation, and of course there are others.
As for your question is it a good choice? That really depends on your plans. Common Lisp particularly has some real strengths for this sort of thing. It's both interactive and introspective at a level you usually see in so-called scripting languages, making it very quick to develop in. At the same time its compiled and has efficient compilers, so you can expect performance in the same ballpark as other efficient compilers (with a factor of two of c is typical ime). While a large language, it has a much more consistent design than things like c++, and the metaprogramming capabilities can make very clean, easy to understand code for your particular application. If you only look at these aspects
common lisp looks amazing.
However, there are downsides. The community is small, you won't find many people to help if that's what you're looking for. While the built in library is large, you won't find as many 3rd party libraries, so you may end up writing more of it from scratch. Finally, while it's by no means a walled garden, CL doesn't have the kind of smooth integration with foreign libraries that say python does. Which doesn't mean you can't call c code, there are nice tools for this.
By they way, CLOS is about the most powerful OO system I can think of, but it is quite a different approach if you're coming from a mainstream c++/java/c#/etc. OO background (yes, they differ, but beyond single vs. multiple inh. not that much) you may find it a bit strange at first, almost turned inside out.
If you go this route, you are going to have to watch for some issues with performance of the actual rendering pipeline, if you write that yourself with CLOS. The class system has incredible runtime flexibility (i.e. updating class definitions at runtime not via monkey patching etc. but via actually changing the class and updating instances) however you pay some dispatch cost on this.
For what it's worth, I've used CL in the past for research code requiring numerical efficiency, i.e. simulations of a different sort. It works well for me. In that case I wasn't worried about using existing code -- it didn't exist, so I was writing pretty much everything from scratch anyway.
In summary, it could be a fine choice of language for this project, but not the only one. If you don't use a language with both high-level aspects and good performance (like CL has, as does OCaml, and a few others) I would definitely look at the possibility of a two level approach with a language like lua or perhaps python (lots of libs) on top of some c or c++ code doing the heavy lifting.
If you look at the game or simulator industry you find a lot of C++ plus maybe some added scripting component. There can also be tools written in other languages for scenery design or related tasks. But there is only very little Lisp used in that domain. You need to be a good hacker to get the necessary performance out of Lisp and to be able to access or write the low-level code. How do you get this knowhow? Try, fail, learn, try, fail less, learn, ... There is nothing but writing code and experimenting with it. Lisp is really useful for good software engineers or those that have the potential to be a good software engineer.
One of the main obstacles is the garbage collector. Either you have a very simple one (then you have a performance problem with random pauses) or you have a sophisticated one (then you have a problem getting it working right). Only few garbage collectors exist that would be suitable - most Lisp implementations have good GC implementations, but still those are not tuned for real-time or near real-time use. Exceptions do exist. With C++ you can forget the GC, because there usually is none.
The other alternative to automatic memory management with a garbage collector is to use no GC and manage memory 'manually'. This is used by some (even commercial) Lisp applications that need to support some real-time response (for example process control expert systems).
The nearest thing that was developed in that area was the Crash Bandicoot (and also later games) game for the Playstation I (later games were for the Playstation II) from Naughty Dog. Since they have been bought by Sony, they switched to C++ for the Playstation III. Their development environment was written in Allegro Common Lisp and it included a compiler for a Scheme (a Lisp dialect) variant. On the development system the code gets compiled and then downloaded to the Playstation during development. They had their own 3d engine (very impressive, always got excellent reviews from game magazines), incremental level loading, complex behaviour control for lots of different actors, etc. So the Playstation was really executing the Scheme code, but memory management was not done via GC (afaik). They had to develop all the technology on their own - nobody was offering Lisp-based tools - but they could, because their were excellent software developers. Since then I haven't heard of a similar project. Note that this was not just Lisp for scripting - it was Lisp all the way down.
One the Scheme side there is also a new interesting implementation called Ypsilon Scheme. It is developed for a pinball game - this could be the base for other games, too.
On the Common Lisp side, there have been Lisp applications talking to flight simulators and controlling aspects of them. There are some game libraries that are based on SDL. There are interfaces to OpenGL. There is also something like the 'Open Agent Engine'. There are also some 3d graphics applications written in Common Lisp - even some complex ones. But in the area of flight simulation there is very little prior art.
On the topic of CLOS vs. Functional Programming. Probably one would use neither. If you need to squeeze all possible performance out of a system, then CLOS already has some overheads that one might want to avoid.
Take a look at Functional Reactive Programming. There are a number of frameworks for this in Haskell (don't know about other languages), most of which are based around arrows. The basic idea is to represent relationships between time-varying values and events. So for example you would write (in Haskell arrow notation using no particular library):
velocity <- {some expression of airspeed, heading, gravity etc.}
position <- integrate <- velocity
The second line declares the relationship between position and velocity. The <- arrow operators are syntactic sugar for a bunch of library calls that tie everything together.
Then later on you might say something like:
groundLevel <- getGroundLevel <- position
altitude <- getAltitude <- position
crashed <- liftA2 (<) altitude groundLevel
to declare that if your altitude is less than the ground level at your position then you have crashed. Just as with the other variables here, "crashed" is not just a single value, its a time-varying stream of values. That is why the "liftA2" function is used to "lift" the comparison operator from simple values to streams.
IO is not a problem in this paradigm. Inputs are time varying values such as joystick X and Y, while the image on the screen is simply another time varying value. At the very top level your entire simulator is an arrow from the inputs to the outputs. Then you call a "run" function that converts the arrow into an IO action that runs the game.
If you write this in Lisp you will probably find yourself creating a bunch of macros that basically re-invent arrows, so it might be worth just finding out about arrows to start with.
I don't know anything about flight sims, and you haven't listed anything in particular they consist of, so this is mostly a guess about writing a FS in Lisp.
Why not:
Lisp excels at exploratory programming. I think that since FSs been around so long, and there are free and open-source examples, that it would not benefit as much from this type of programming.
Flight sims are mostly (I'm guessing) written in static, natively compiled languages. If you're looking for pure runtime performance, in Lisp this tends to mean type declarations and other not-so-Lispy constructs. If you don't get the performance you want with naive approaches, your optimized-Lisp might end up looking a lot like C, and Lisp isn't as good at C at writing C.
A lot of a FS, I'm guessing, is interfacing to a graphics library like OpenGL, which is written in C. Depending on how your FFI / OpenGL bindings are, this might, again, make your code look like C-in-Lisp. You might not have the big win that Lisp does in, say, a web app (which consists of generating a tree structure of plain text, which Lisp is great at).
Why:
I took a glance at the FlightGear source code, and I see a lot of structural boilerplate -- even a straight port might end up being half the size.
They use strings for keys all over the place (C++ doesn't have symbols). They use XML for semi-human-readable config files (C++ doesn't have a runtime reader). Simply switching to native Lisp constructs here could be big win for minimal effort.
Nothing looks at all complex, even the "AI". It's simply a matter of keeping everything organized, and Lisp will be great at this because it'll be a lot shorter.
But the neat thing about Lisp is that it's multi-paradigm. You can use OO for organizing the "objects", and FP for computation within each object. I say just start writing and see where it takes you.
I would first think of the nature of the simulation.
Some simulations require interaction like a flight simulator. I don't think functional programming may be a good choice for an interactive (read: CPU intensive/response-critical) applicaiton. Of course, if you have access to 8 PS3's wired together with Linux, you'll not care too much about performance.
For simulations like evolutionary/genetic programming where you set it up and let 'er rip, a functioonal lauguage may help model the problem domain better than an OO language. Not that I'm an expert in functional programming but the ease of coding recursion and the idea of lazy evaluation common in functional languages seems to me a good fit for the 'let her rip' sort of sims.
I wouldn't say functional programming lends itself particularly well to flight simulation. In general, functional languages can be very useful for writing scientific simulations, though this is a slightly specialised case. Really, you'd probably be better off with a standard imperative (preferably OOP) language like C++/C#/Java, as they would tend to have the better physics libraries as well as graphics APIs, both of which you would need to use very heavily. Also, the OOP approach might make it easier to represent your environment. Another point to consider is that (as far as I know) the popular flight simulators on the market today are written pretty much entirely in C++.
Essentially, my philosophy is that if there's no particularly good reason that you should need to use functional paradigms, then don't use a functional language (though there's nothing to stop you using functional constructs in OOP/mixed languages). I suspect you're going to have a lot less painful of a development process using the well-tested APIs for C++ and languages more commonly associated with game development (which has many commonalities with flight sim). Now, if you want to add some complex AI to the simulator, Lisp might seem like a rather more obvious choice, though even then I wouldn't at all jump for it. And finally, if you're really keen on using a functional language, I would recommend you go with one of the more general purpose ones like Python or even F# (both mixed imperative-functional languages really), as opposed to Lisp, which could end up getting rather ugly for such a project.
There are a few problems with functional languages, and that is they don't mesh well with state, but they do go well with process. So in a way it could be said they are action oriented. This means you'll be wasting your time simulating a plane, what you want to do is simulate the actions of flying a plane. Once you grim that you can probably get it to work.
Now as side point, haskell wouldn't be good IMHO, because it's too abstract for a "game", this sort of app is all about Input/Output, but Haskell is about avoiding IO, so it'll become a monad nightmare, and you'll be working against the language. Lisp is a better choice, or Lua or Javascript, they are also functional, but not purely functional, so for your case try Lisp. Anyways in any of these languages your graphics will be C or C++.
A serious issue however is there is very little documentation, and less tutorials about Functional languages and "games", of course scientific simulations is academically documented but those papers are quite dense, if you succeed maybe you could write you experiences, for others as it's a rather empty field right now

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