Functional programming languages introspection - haskell

I'm sketching a design of something (machine learning of functions) that will preferably want a functional programming language, and also introspection, specifically the ability to examine the program's own code in some nicely tractable format, and preferably also the ability to get machine generated code compiled at runtime, and I'm wondering what's the best language to write it in. Lisp of course has strong introspection capabilities, but the statically typed languages also have advantages; the ones I'm considering are:
F# - the .Net platform has a good story here, you can read byte code at run time and also emit byte code and get it compiled; I assume there's no problem accessing these facilities from F#.
Haskell, Ocaml - do these have similar facilities, either via byte code or parse tree?
Are there other languages I should also be looking at?

Haskell's introspection mechanism is Template Haskell, which supports compile time metaprogramming, and when combined with e.g. llvm, provides runtime metaprogramming facilities.

Ocaml has:
Camlp4 to manipulate Ocaml concrete syntax trees in Ocaml. The maintained implementation of Camlp4 is Camlp5.
MetaOCaml for full-scale multi-stage programming.
Ocamljit to generate native code at run time, but I don't think it's been maintained recently.
Ocaml-Java to compile Ocaml code for the Java virtual machine. I don't know if there are nice reflection capabilities.

Not really an answer, but note also the F# Quotations feature and library, for more homoiconicity stuff.

You might check out the typed variant of Racket (previously known as PLT Scheme). It retains most of the syntactic simplicity of Scheme, but provides a static type system. Since Racket is a Scheme, metaprogramming is par for the course, and the runtime can emit native code by way of a JIT.

The Haskell approach would be more along the lines of parsing the source. The Haskell Platform includes a complete source parser, or you can use the GHC API to get access that way.

I'd also look at Scala or Clojure which come with them all the libraries that have been developed for Java. You'll never need to worry if a library does not exist. But more to the point of your question, these languages give you the same reflection (or more powerful types) that you will find within Java.

I'm sketching a design of something (machine learning of functions) that will preferably want a functional programming language, and also introspection, specifically the ability to examine the program's own code in some nicely tractable format, and preferably also the ability to get machine generated code compiled at runtime, and I'm wondering what's the best language to write it in. Lisp of course has strong introspection capabilities, but the statically typed languages also have advantages; the ones I'm considering are:
Can you not just parse the source code like an ordinary interpreter or compiler? Why do you need introspection?
F# - the .Net platform has a good story here, you can read byte code at run time and also emit byte code and get it compiled; I assume there's no problem accessing these facilities from F#.
F# has a rudimentary quotation mechanism but you can only quote some expressions and not other kinds of code, most notably type definitions. Also, its evaluation mechanism is orders of magnitude slower than genuine compilation so it is basically completely useless. You can use reflection to analyze type definitions but, again, it is quite rudimentary.
You can read byte code but that has been compiled so a lot of information and structure has been lost.
F# also has lexing and parsing technology (most notably fslex, fsyacc and FParsec) but it is not as mature as OCaml's.
Haskell, Ocaml - do these have similar facilities, either via byte code or parse tree?
Haskell has Template Haskell but I've never heard of anyone using it (abandonware?).
OCaml has its Camlp4 macro system and a few people do use it but it is poorly documented.
As for lexing and parsing, Haskell has a few libraries (most notably Parsec) and OCaml has many libraries.
Are there other languages I should also be looking at?
Term rewrite languages like Mathematica would be an obvious choice because they make it trivial to manipulate code. The Pure language might be of interest.
You might also consider MetaOCaml for its run-time compilation capabilities.

Related

Tool for automated porting and language that can compile into others

I'm just asking this out of curiosity :
Is there any tool that can automatically convert a source code of reasonable complexity from one language to another ?
Is there any "meta-language" that can compile into several other languages ? For example CoffeeScript compiles into Javascript.
If you know any open-source example, it'd be great !
Thank you for your time.
PS: No idea how to tag this. Feel free to edit.
GCC converts complex C++ code into machine code and thus technically is an answer to your question. In fact, there are lots of compiler like this, but I don't think these are what you intended to ask.
There are tools that are hardwired to translate just one language to another as source code (another poster suggested "f2C", which is a perfect example). These are just like compilers... but rarer.
There are virtually no tools that will map from one language to many others, out of the box. The problem is that languages have different execution models, data types, and execution schemes, which such a translator has to simulate properly in the target language.
The are "code generators" that claim to do this, but they are largely IMHO specifications of rather simple functions that translate trivially to simple code in the target langauge.
If you want to translate one language to another in a sort of general way, you need a program transformation system, e.g., a system that can parse arbitrary langauges, and for which you can provide translation rules that map to other languages in a sort of straightforward way.
Our DMS Software Reengineering Toolkit is one of these. This SO What kinds of patterns could I enforce on the code to make it easier to translate to another programming language? discusses the issues in more detail.
You can convert Fortran code to C using the f2c tool.
For python, you can convert a subset of the language to C++ using shedskin.
The vala language is converted to C before the real compilation.

Looking for a new language that supports both interpreted and native compilation modes

I currently program in Perl, Python, C#, C, C++, Java, and a few other languages, and I'm looking for a new language to use as a primary when doing personal projects.
My current criteria are:
can be run as an interpreted language (i.e., run without having to wait to compile it);
can be compiled to native code;
are strongly typed (even if optionally);
support macros/templating/code morphing/wtf you want to call it;
has a decent number of libraries for it, or easily accessible to it;
Ideas? Suggestions?
I would suggest that Haskell suits your criteria.
Can be run as an interpreted language? Yes, via GHCI.
Can be compiled to native code? Yes.
Is strongly typed? Very much so. Perhaps even the most strongly typed language today, with the exception of some theorem provers like Agda.
Support macros/templating/morphing? If you use template haskell. This is an optional extension of the language however, so most libraries don't use macros. I haven't used template haskell myself so i can't comment on if it's any good.
Has decent library support? The standard library is not bad. There is also Hackage, an open repository of Haskell libraries a bit in the style of CPAN.
Additionally, it sounds like you already know a lot of imperative/object oriented languages. IMHO if you learn another one of those langs. it will probably be a slightly different permutation of features you've already seen somewhere else. Adding another programming paradigm like functional programming to your toolbox will probably be a better learning experience. Though I guess whether that's an advantage or not depends on if you want to learn new things or be productive quickly.
Common Lisp fits: there is an optional typing, efficient native compilation is available, powerful REPL makes it a perfect choice for scripting, and there is a powerful macro metaprogramming.
OCaml fits as well, with CamlP4 for metaprogramming.
Scala? It does run scripts, although they are compiled (transparently) first. I'm not sure what you mean by code morphing etc, but it's pretty good for DSLs. It meets all your other requirements - compiled as much as Java is, strongly typed, and has a reasonable number of its own libraries as well as all of Java's. I'm still a beginner with it, but I like it so far.

When choosing a functional programming language for use with LLVM, what are the trade-offs?

Let's assume for the moment that C++ is not a functional programming language. If you want to write a compiler using LLVM for the back-end, and you want to use a functional programming language and its bindings to LLVM to do your work, you have two choices as far as I know: Objective Caml and Haskell. If there are others, then I'd like to know about those too.
I'm not asking for subjective opinions, so please don't give this the subjective tag. I want to make up my own mind about this, but I'm not sure I know what are all the trade-offs. So, StackOverflow to the rescue. What are the trade-offs?
Either OCaml or Haskell would be a good choice. Why not check out the LLVM tutorials for each language? The LLVM tutorial for OCaml is here: http://llvm.org/docs/tutorial/OCamlLangImpl1.html
Haskell has more momentum these days, but there are plenty of good parsing libraries for OCaml as well including the PEG parser generator Aurochs, Menhir, and the GLR parser generator Dypgen. Also check out this presentation on pcl a monadic parser combinator library for OCaml (like Parsec for Haskell) there's some good info in there comparing Haskell's and OCaml's approach: http://osp.janestreet.com/files/pcl.pdf
Some will say that laziness gives Haskell the edge in parsing, but you can get laziness in OCaml as well.
Haskell has higher level bindings to LLVM than OCaml (the Haskell ones provide some interesting type safety guarantees) and Haskell has by far more libraries to use (1700 packages on http://hackage.haskell.org) making it easier to glue together components.
Availability of native bindings need not constrain your choice of language. There is a third option, apart from using bindings or generating IR text directly:
You can use a language-neutral serialization format, such as Google's Protocol Buffers, to serve as the bridge from your front-end to your back-end. Protocol buffers are, after all, just ASTs in disguise.
Your front end, implemented in a functional language, then does what it is best at -- parsing, type checking, desugaring, core-to-core transformations, etc -- and the C++ backend takes the IR from your frontend and uses LLVM's feature-complete-by-definition native C++ API to do lowering from your-language-IR to LLVM IR. This makes it much easier to handle "advanced" features of LLVM such as debug metadata.
I'm using this strategy with hprotoc and associated Haskell bindings for protocol buffers, and am very happy with the results. There is much to be said for using the right tool for the job!
OCaml is the only functional language with bindings in the LLVM distro itself and documentation on llvm.org such as the Kaleidoscope tutorial. If you have OCaml installed when you build and install LLVM then it will automatically build and install the LLVM bindings for OCaml as well. Moreover, these OCaml bindings have been in use for years so they are mature and reliable.
I have been developing HLVM in OCaml using the standard LLVM bindings and found OCaml+LLVM to be an extremely powerful combination. HLVM provides tuples, arrays, unions, TCO of all tail calls, generic printing, FFI to C, JIT compilation and parallel garbage collection with a VM weighing in at under 2kLOC of OCaml code that took only a few man-weeks to develop from scratch. HLVM's numerical performance already far exceeds that of today's fastest open source FPLs including OCaml itself. I have published articles in the OCaml Journal describing how LLVM can be used from OCaml for everything from basic expression evaluation to advanced topics such as parallelism and garbage collection. You may also like this mini example.

How to create a language these days?

I need to get around to writing that programming language I've been meaning to write. How do you kids do it these days? I've been out of the loop for over a decade; are you doing it any differently now than we did back in the pre-internet, pre-windows days? You know, back when "real" coders coded in C, used the command line, and quibbled over which shell was superior?
Just to clarify, I mean, not how do you DESIGN a language (that I can figure out fairly easily) but how do you build the compiler and standard libraries and so forth? What tools do you kids use these days?
One consideration that's new since the punched card era is the existence of virtual machines already bountifully provided with "standard libraries." Targeting the JVM or the .NET CLR instead of ye olde "language walled garden" saves you a lot of bootstrapping. If you're creating a compiled language, you may also find Java byte code or MSIL an easier compile target than machine code (of course, if you're in this for the fun of creating a tight optimising compiler then you'll see this as a bug rather than a feature).
On the negative side, the idioms of the JVM or CLR may not be what you want for your language. So you may still end up building "standard libraries" just to provide idiomatic interfaces over the platform facility. (An example is that every languages and its dog seems to provide its own method for writing to the console, rather than leaving users to manually call System.out.println or Console.WriteLine.) Nevertheless, it enables an incremental development of the idiomatic libraries, and means that the more obscure libraries for which you never get round to building idiomatic interfaces are still accessible even if in an ugly way.
If you're considering an interpreted language, .NET also has support for efficient interpretation via the Dynamic Language Runtime (DLR). (I don't know if there's an equivalent for the JVM.) This should help free you up to focus on the language design without having to worry so much about the optimisation of the interpreter.
I've written two compilers now in Haskell for small domain-specific languages, and have found it to be an incredibly productive experience. The parsec library makes playing with syntax easy, and interpreters are very simple to write over a Haskell data structure. There is a description of writing a Lisp interpreter in Haskell that I found helpful.
If you are interested in a high-performance backend, I recommend LLVM. It has a concise and elegant byte-code and the best x86/amd64 generating backend you can find. There is an optional garbage collector, and some experimental backends that target the JVM and CLR.
You can write a compiler in any language that produces LLVM bytecode. If you are adventurous enough to learn Haskell but want LLVM, there are a set of Haskell-LLVM bindings.
What has changed considerably but hasn't been mentioned yet is IDE support and interoperability:
Nowadays we pretty much expect Intellisense, step-by-step execution and state inspection "right in the editor window", new types that tell the debugger how to treat them and rather helpful diagnostic messages. The old "compile .x -> .y" executable is not enough to create a language anymore. The environment is nothing to focus on first, but affects willingness to adopt.
Also, libraries have become much more powerful, noone wants to implement all that in yet another language. Try to borrow, make it easy to call existing code, and make it easy to be called by other code.
Targeting a VM - as itowlson suggested - is probably a good way to get started. If that turns out a problem, it can still be replaced by native compilers.
I'm pretty sure you do what's always been done.
Write some code, and show your results to the world.
As compared to the olden times, there are some tools to make your job easier though. Might I suggest ANTLR for parsing your language grammar?
Speaking as someone who just built a very simple assembly like language and interpreter, I'd start out with the .NET framework or similar. Nothing can beat the powerful syntax of C# + the backing of the entire .NET community when attempting to write most things. From here i designed a simple bytecode format and assembly syntax and proceeeded to write my interpreter + assembler.
Like i said, it was a very simple language.
You should not accept wimpy solutions like using the latest tools. You should bootstrap the language by writing a minimal compiler in Visual Basic for Applications or a similar language, then write all the compilation tools in your new language and then self-compile it using only the language itself.
Also, what is the proposed name of the language?
I think recently there have not been languages with ALL CAPITAL LETTER names like COBOL and FORTRAN, so I hope you will call it something like MIKELANG with all capital letters.
Not so much an implementation but a design decision which effects implementation - if you make every statement of your language have a unique parse tree without context, you'll get something that it's easy to hand-code a parser, and that doesn't require large amounts of work to provide syntax highlighting for. Similarly simple things like using a different symbol for module namespaces and object namespaces ( unlike Java which uses . for both package and class namespaces ) means you can parse the code without loading every module that it refers to.
Standard libraries - include the equivalent of everything in C99 standard libraries other than setjmp. Add whatever else you need for your domain. Work out an easy way to do this, either something like SWIG or an in-line FFI such as Ruby's [can't remember module name] and Python's ctypes.
Building as much of the language in the language is an option, but projects which start out doing either give up (rubinius moved to using C++ for parts of its standard library), or is only for research purposes (Mozilla Narcissus)
I am actually a kid, haha. I've never written an actual compiler before or designed a language, but I have finished The Red Dragon Book, so I suppose I have somewhat of an idea (I hope).
It would depend firstly on the grammar. If it's LR or LALR I suppose tools like Bison/Flex would work well. If it's more LL, I'd use Spirit, which is a component of Boost. It allows you to write the language's grammar in C++ in an EBNF-like syntax, so no muddling around with code generators; the C++ compiler compiles the grammar for you. If any of these fail, I'd write an EBNF grammar on paper, and then proceed to do some heavy recursive descent parsing, which seems to work; if C++ can be parsed pretty well using RDP (as GCC does it), then I suppose with enough unit tests and patience you could write entire compilers using RDP.
Once I have a parser running and some sort of intermediate representation, it then depends on how it runs. If it's some bytecode or native code compiler, I'll use LLVM or libJIT to process it. LLVM is more suited for general compilation, but I like the libJIT API and documentation better. Alternatively, if I'm really lazy, I'll generate C code and let GCC do the actual compilation. Another alternative, is to target an existing VM, like Parrot or the JVM or the CLR. Parrot is the VM being designed for Perl. If it's just an interpreter, I'll walk the syntax tree.
A radical alternative is to use Prolog, which has syntax features which remarkably simulate EBNF. I have no experience with it though, and if I am not wrong (which I am almost certainly going to be), Prolog would be quite slow if used to parse heavy duty programming languages with a lot of syntactical constructs and quirks (read: C++ and Perl).
All this I'll do in C++, if only because I am more used to writing in it than C. I'd stay away from Java/Python or anything of that sort for the actual production code (writing compilers in C/C++ help to make it portable), but I could see myself using them as a prototyping language, especially Python, which I am partial towards. Of course, I've never actually done any of this before, so I'm not one to say.
On lambda-the-ultimate there's a link to Create Your Own Programming Language by Marc-André Cournoyer, which appears to describe how to leverage some modern tools for creating little languages.
Just to clarify, I mean, not how do you DESIGN a language (that I can figure out fairly easily)
Just a hint: Look at some quite different languages first, before designing a new languge (i.e. languages with a very different evaluation strategy). Haskell and Oz come to mind. Though you should also know Prolog and Scheme. A year ago I also was like "hey, let's design a language that behaves exactly as I want", but fortunatly I looked at those other languages first (or you could also say unfortunatly, because now I don't know how I want a language to behave anymore...).
Before you start creating a language you should read this:
Hanspeter Moessenboeck, The Art of Niklaus Wirth
ftp://ftp.ssw.uni-linz.ac.at/pub/Papers/Moe00b.pdf
There's a big shortcut to implementing a language that I don't see in the other answers here. If you use one of Lukasiewicz's "unparenthesized" forms (ie. Forward Polish or Reverse Polish) you don't need a parser at all! With reverse polish, the dependencies go right-to-left so you simply execute each token as it's scanned. With forward polish, it's the reverse of that, so you actually execute the program "backwards", simplifying subexpressions until reaching the starting token.
To understand why this works, you should investigate the 3 primary tree-traversal algorithms: pre-order, in-order, post-order. These three traversals are the inverse of the parsing task that a language reader (i. parser) has to perform. Only the in-order notation "requires" a recursive decent to re-construct the expression tree. With the other two, you can get away with just a stack.
This may require more "thinking' and less "implementing".
BTW, if you've already found an answer (this question is a year old), you can post that and accept it.
Real coders still code in C. Just that it's a litte sharper.
Hmmm... language design? or writing a compiler?
If you want to write a compiler, you'd use Flex + Bison. (google)
Not an easy answer, but..
You essentially want to define a set of rules written in text (tokens) and then some parser that checks these rules and assembles them into fragments.
http://www.mactech.com/articles/mactech/Vol.16/16.07/UsingFlexandBison/
People can spend years on this, The above article talks about using two tools (Flex and Bison) That can be used to turn text into code you can feed to a compiler.
First I spent a year or so to actually think how the language should look like. At the same time I helped in developing Ioke (www.ioke.org) to learn language internals.
I have chosen Objective-C as implementation platform as it's fast (enough), simple and rich language. It also provides test framework so agile approach is a go. It also has a rich standard library I can build upon.
Since my language is simple on syntactic level (no keywords, only literals, operators and messages) I could go with Ragel (http://www.complang.org/ragel/) for building scanner. It's fast as hell and simple to use.
Now I have a working object model, scanner and simple operator shuffling plus standard library bootstrap code. I can even run a simple programs - as long as they fit in one file that is :)
Of course older techniques are still common (e.g. using Flex and Bison) many newer language implementations combine the lexing and parsing phase, by using a parser based on a parsing expression grammar (PEG). This works for recursive descent parsers created using combinators, or memoizing Packrat parsers. Many compilers are built using the Antlr framework also.
Use bison/flex which is the gnu version of yacc/lex. This book is extremely helpful.
The reason to use bison is it catches any conflicts in the language. I used it and it made my life many years easier (ok so i'm on my 2nd year but the first 6months was a few years ago writing it in C++ and the parsing/conflicts/results were terrible! :(.)
If you want to write a compiler obviously you need to read the Dragon Book ;)
Here is another good book that I have just read. It is practical and easier to understand than the Dragon Book:
http://www.amazon.co.uk/s/ref=nb_sb_noss?url=search-alias%3Daps&field-keywords=language+implementation+patterns&x=0&y=0
Mike --
If you're interested in an efficient native-code-generating compiler for Windows so you can get your bearings -- without wading through all the unnecessary widgets, gadgets, and other nonsense that clutter today's machines -- I recommend the Osmosian Order's Plain English development system. It includes a unique interface, a simplified file manager, a friendly text editor, a handy hexadecimal dumper, the compiler/linker (of course), and a wysiwyg page-layout application for documentation. Written entirely in Plain English, it is a quick download (less than a megabyte), small enough to understand in short order (about 25,000 lines of Plain English code, with just 4,000 in the compiler/linker), yet powerful enough to reproduce itself on a bottom-of-the-line Dell in less than three seconds. Really: three seconds. And it's free to all who write and ask for a copy, including the source code and and a rather humorous tongue-in-cheek 100-page manual. See www.osmosian.com for details on how to get a copy, or write to me directly with questions or comments: Gerry.Rzeppa#pobox.com

Looking for a functional language [closed]

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I'm a scientist working mostly with C++, but I would like to find a better language. I'm looking for suggestions, I'm not even sure my "dream language" exist (yet), but here's my wishlist;
IMPORTANT FEATURES (in order of importance)
1.1: Performance: For science, performance is very important. I perfectly understand the importance of productivity, not just execution speed, but when your program has to run for hours, you just can't afford to write it in Python or Ruby. It doesn't need to be as fast as C++, but it has to be reasonably close (e.g.: Fortran, Java, C#, OCaml...).
1.2: High-level and elegant: I would like to be able to concentrate as most as possible on the science and get a clear code. I also dislike verbose languages like Java.
1.3: Primarely functional: I like functional programming, and I think it suits both my style and scientific programming very well. I don't care if the language supports imperative programming, it might be a plus, but it has to focus and encourage functional programming.
1.4: Portability: Should work well on Linux (especially Linux!), Mac and Windows. And no, I do not think F# works well on Linux with mono, and I'm not sure OCaml works well on windows ;)
1.5: Object-oriented, preferably under the "everything is an object" philosophy: I realized how much I liked object-oriented programming when I had to deal pure C not so long ago. I like languages with a strong commitment to object-oriented programming, not just timid support.
NOT REALLY IMPORTANT, BUT THINGS THAT WOULD BE NICE
2.1: "Not-too-strong" typing: I find Haskell's strong typing system to be annoying, I like to be able to do some implicit casting.
2.2: Tools: Good tools is always a plus, but I guess it really depends on the languages. I played with Haskell using Geany, a lightweight editor, and I never felt handicapped. On the other hand I wouldn't have done the same with Java or even Scala (Scala, in particular, seems to be lacking good tools, which is really a shame). Java is really the #1 language here, with NetBeans and Javadoc, programming with Java is easy and fun.
2.3: Garbage collected, but translated or compiled without a virtual machine. I have nothing against virtual machines, but the two giants in the domain have their problems. On paper the .net framework seems much better, and especially suited for functional programming, but in practice it's still very windows-centric and the support for Linux/MacOS is terrible not as good as it should be, so it's not really worth considering. Java is now a mature VM, but it annoys me on some levels: I dislike the ways it deals with executables, generics, and it writes terrible GUIs (although these things aren't so bad).
In my mind there are three viable candidates: Haskell, Standard ML, OCaml. (Scala is out on the grounds that it compiles to JVM codes and is therefore unlikely to be fast enough when programs must run for days.)
All are primarily functional. I will comment where I have knowledge.
Performant
OCaml gives the most stable performance for all situations, but performance is hard to improve. What you get is what you get :-)
Haskell has the best parallel performance and can get excellent use out of an 8-core or 16-core machine. If your future is parallel, I urge you to master your dislike of the type system and learn to use Haskell effectively, including the Data Parallel Haskell extensions.
The down side of Haskell performance is that it can be quite difficult to predict the space and time required to evaluate a lazy functional program. There are excellent profiling tools, but still significant effort may be required.
Standard ML with the MLton compiler gives excellent performance. MLton is a whole-program compiler and does a very good job.
High-level and elegant
Syntactically Haskell is the clear winner. The type system, however, is cluttered with the remains of recent experiments. The core of the type system is, however, high-level and elegant. The "type class" mechanism is particularly powerful.
Standard ML has ugly syntax but a very clean type system and semantics.
OCaml is the least elegant, both from a point of view of syntax and from the type system. The remains of past experiments are more obtrusive than in Haskell. Also, the standard libraries do not support functional programming as well as you might expect.
Primarily functional
Haskell is purely functional; Standard ML is very functional; OCaml is mostly functional (but watch out for mutable strings and for some surprising omissions in the libraries; for example, the list functions are not safe for long lists).
Portability
All three work very well on Linux. The Haskell developers use Windows and it is well supported (though it causes them agony). I know OCaml runs well on OSX because I use an app written in OCaml that has been ported to OSX. But I'm poorly informed here.
Object-oriented
Not to be found in Haskell or SML. OCaml has a bog-standard OO system grafted onto the core language, not well integrated with other languages.
You don't say why you are keen for object-orientation. ML functors and Haskell type classes provide some of the encapsulation and polymorphism (aka "generic programming") that are found in C++.
Type system than can be subverted
All three languages provide unsafe casts. In all three cases they are a good way to get core dumps.
I like to be able to do some implicit casting.
I think you will find Haskell's type-class system to your liking—you can get some effects that are similar to implicit casting, but safely. In particular, numeric and string literals are implicitly castable to any type you like.
Tools
There are pretty good profiling tools with Haskell. Standard ML has crappy tools. OCaml has basically standard Unix profiling plus an unusable debugger. (The debugger refuses to cross abstraction barriers, and it doesn't work on native code.)
My information may be out of date; the tools picture is changing all the time.
Garbage-collected and compiled to native code
Check. Nothing to choose from there.
Recommendation
Overcome your aversion to safe, secure type systems. Study Haskell's type classes (the original paper by Wadler and Blott and a tutorial by Mark Jones may be illuminating). Get deeper into Haskell, and be sure to learn about the huge collection of related software at Hackage.
Try Scala. It's an object-oriented functional language that runs in the JVM, so you can access everything that was ever written in Java. It has all your important features, and one of the nice to have features. (Obviously not #2.2 :) but that will probably get better quickly.) It does have very strong typing, but with type inference it doesn't really get in your way.
You just described Common Lisp...
If you like using lists for most things, and care about performance, use Haskell or Ocaml. Although Ocaml suffers significantly in that Floats on the heap need to be boxed due to the VM design (but arrays of floats and purely-float records aren't individually boxed, which is good).
If you're willing to use arrays more than lists, or plan on programming using mutable state, use Scala rather than Haskell. If you're looking to write threaded multi-core code, use Scala or Haskell (Ocaml requires you to fork).
Scala's list is polymorphic, so a list of ints is really a list of boxed Int objects. Of course you could write your own list of ints in Scala that would be as fast, but I assume you'd rather use the standard libraries. Scala does have as much tail recursion as is possible on JVM.
Ocaml fails on Vista 64 for me, I think because they just changed the linker in the latest version (3.11.1?), but earlier versions worked fine.
Scala tool support is buggy at the moment if you're using nightly builds, but should be good soon. There are eclipse and netbeans plugins. I'm using emacs instead. I've used both the eclipse and netbeans debugger GUI successfully in the past.
None of Scala, Ocaml, or Haskell, have truly great standard libraries, but at least you can easily use Java libs in Scala. If you use mapreduce, Scala wins on integration. Haskell and Ocaml have a reasonable amount of 3rd party libs. It annoys me that there are differently named combinators for 2-3 types of monad in Haskell.
http://metamatix.org/~ocaml/price-of-abstraction.html might convince you to stay with C++. It's possible to write Scala that's almost identical in performance to Java/C++, but not necessarily in a high level functional or OO style.
http://gcc.gnu.org/projects/cxx0x.html seems to suggest that auto x = ... (type inference for expressions) and lambdas are usable. C++0x with boost, if you can stomach it, seems pretty functional. The downside to C++ high performance template abusing libraries is, of course, compile time.
Your requirements seem to me to describe ocaml quite well, except for the "not-too-strong" typing. As for tools, I use and like tuareg mode for emacs. Ocaml should run on windows (I haven't used it myself though), and is pretty similar to F#, FWIW.
I'd consider the ecosystem around the language as well. In my opinion Ocaml's major drawback is that it doesn't have a huge community, and consequently lacks the large library of third-party modules that are part of what makes python so convenient. Having to write your own code or modify someone else's one-shot prototype module you found on the internet can eat up some of the time you save by writing in a nice functional language.
You can use F# on mono; perhaps worth a look? I know that mono isn't 100% perfect (nothing ever is), but it is very far from "terrible"; most of the gaps are in things like WCF/WPF, which I doubt you'd want to use from FP. This would seem to offer much of what you want (except obviously it runs in a VM - but you gain a huge set of available libraries in the bargain (i.e. most of .NET) - much more easily than OCaml which it is based on).
I would still go for Python but using NumPy or some other external module for the number crunching or alternatively do the logic in Python and the hotspots in C / assembler.
You are always giving up cycles for comfort, the more comfort the more cycles. Thus you requirements are mutual exclusive.
I think that Common Lisp fits your description quite well.
1.1: Performance: Modern CL implementations are almost on par with C. There are also foreign function interfaces to interact with C libraries, and many bindings are already done (e.g. the GNU Scientific Library).
1.2: High-level and elegant: Yep.
1.3: Primarily functional: Yes, but you can also "get imperative" wherever the need arises; CL is "multi-paradigm".
1.4: Portability: There are several implementations with differing support for each platform. Some links are at CLiki and ALU Wiki.
1.5: Object-oriented, preferably under the "everything is an object" philosophy: CLOS, the Common Lisp Object System, is much closer to being "object oriented" than any of the "curly" languages, and also has features you will sorely miss elsewhere, like multimethods.
2.1: "Not-too-strong" typing: CL has dynamic, strong typing, which seems to be what you want.
2.2: Tools: Emacs + SLIME (the Superior Lisp Interaction Mode for Emacs) is a very nice free IDE. There is also a plugin for Eclipse (Cusp), and the commercial CL implementations also oftem bring an own IDE.
2.3: Garbage collected, but translated or compiled without a virtual machine. The Lisp image that you will be working on is a kind of VM, but I think that's not what you mean.
A further advantage is the incremental development: you have a REPL (read-eval-print-loop) running that provides a live interface into the running image. You can compile and recompile individual functions on the fly, and inspect the current program state on the live system. You have no forced interruptions due to compiling.
Short Version: The D Programming Language
Yum Yum Yum, that is a big set of requirements.
As you probably know, object orientation, high-level semantics, performance, portability and all the rest of your requirements don't tend to fit together from a technical point of view. Let's split this into a different view:
Syntax Requirements
Object Orientated presentation
Low memory management complexity
Allows function style
Isn't Haskell (damn)
Backend Requirements
Fast for science
Garbage Collected
On this basis I would recommend The D programming language it is a successor to C trying to be all things to all people.
This article on D is about it's functional programming aspects. It is object-orientated, garbage collected and compiles to machine code so is fast!
Good Luck
Clojure and/or Scala are good canditates for JVM
I'm going to assume that you are familiar enough with the languages you mentioned to have ruled them out as possibilities. Given that, I don't think there is a language that fulfills all your expectations. However, there are still a few languages you could take a look at:
Clojure This really is a very nice language. It's syntax is based on LISP, and it runs on the JVM.
D This is like C++ done right. It has all the features you want except that it's kind of weak on the functional programming.
Clean This is based very heavily on Haskell, but removes some of Haskell's problems. Downsides are that it's not very mature and doesn't have a lot of libraries.
Factor Syntactically it's based on Forth, but has support for LISP-like functional programming as well as better support for classes.
Take a peek at Erlang. Originally, Erlang was intended for building fault-tolerant, highly parallel systems. It is a functional language, embracing immutability and first-class functions. It has an official Windows binary release, and the source can be compiled for many *NIX platforms (there is a MacPorts build, for example).
In terms of high-level features, Erlang support list comprehensions, pattern matching, guard clauses, structured data, and other things you would expect. It's relatively slow in sequential computation, but pretty amazing if you're doing parallel computation. Erlang does run on a VM, but it runs on its own VM, which is part of the distribution.
Erlang, while not strictly object-oriented, does benefit from an OO mindset. Erlang uses a thing called a process as its unit of concurrency. An Erlang process is actually a lot like a native thread, except with much less overhead. Each process has a mailbox, will be sent messages, and will process those messages. It's easy enough to treat processes as if they were objects.
I don't know if it has much in the way of scientific libraries. It might not be a good fit for your needs, but it's a cool language that few people seem to know about.
Are you sure that you really need a functional language? I did most of my programming in lisp, which is obviously a functional language, but I have found that functional programming is more of a mind-set than a language feature. I'm using VB right now, which I think is an excellent language (speed, support, IDE) and I basically use the same programming style that I did in lisp - functions call other functions that call other functions - and functions are usually 1-5 lines long.
I do know that Lisp has good performance, run on all platforms, but it is somewhat outdated in terms of how up to date support for features such as graphics, multi-threading etc. are.
i've taken a look at clojure but if you don't like java you probably won't like clojure. It's a functional-lisp-style language implemented on top of java - but you'll probably find yourself using java libraries all the time which adds the verbosoity of java. I like lisp but I didn't like clojure despite the hype.
Are you also sure about your performanc requirements? Matlab is an excellent language for a lot of scientific computation, but it is kind of slow and I hate reading it. You might find t useful though especially in conjunction with other languages, for prototypes/scenarios/subunits.
Many of your requirements are based on hearsay. One example: the idea that Mono is "terrible".
http://banshee-project.org/
That's the official media player of many Linux distributions. It's written in C#. (They don't even have a public Windows release of it!)
Your assertions about the relative performance of various languages are equally dubious. And requiring a language to not use a virtual machine is quite unrealistic and totally undesirable. Even an OS is a form of VM on which applications run, which virtualises the hardware devices of the machine.
Though you earn points for mentioning tools (although not with enough priority). As Knuth observed, the first question to ask about a language is "What's the debugger like?"
Looking over your requirements, I would recommend VB on either Mono, or a virtual machine running windows. As a previous poster said, the first thing to ask about a language is "What is the debugger like" and VB/C# have the best debugger. Just a result of all those Microsoft employees hammering on the debugger, and having the teams nearby to bug (no pun intended) into fixing it.
The best thing about VB and C# is the large set of developer tools, community, google help, code exapmles, libraries, softwaer that interfaces with it, etc. I've used a wide variety of software development environments over the past 27 years, and the only thing that comes close is the Xerox Lisp machine environmnets (better) and the Symbolics Lisp machines (worse).

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