Emacs Lisp number crunching (actually, simple addition) - emacs

this is what I get when I try to do some calculations in emacs lisp...
(+ 2082844800. 1274511600.0)
=> 1209872752.0
(+ 2082844800.0 1274511600.0)
=> 3357356400.0
Could anyone tell me what's going on and what's the difference between representing a floating-point number with . and .0 at the end? Thanks

Building on Anton's answer and jamessan's answer, and reading the latest NEWS file:
It looks like you've got a 32-bit build of Emacs. Emacs has a limit for integers that is most-positive-fixnum, which has traditionally been 268435455 for 32-bit builds. In the latest Emacs (23.2), the NEWS file indicates:
** The Lisp reader turns integers that are too large/small into floats. For
instance, on machines where
536870911' is the largest integer,
reading536870912' gives the
floating-point object `536870912.0'.
This change only concerns the Lisp
reader; it does not affect how actual
integer objects overflow.
So, in 23.1 and earlier (on a 32-bit Emacs), 2082844800. was read as an integer, but is too big, causing it to overflow and turn into -64638848.
Adding the .0 suffix in 23.1 forced the lisp reader to treat the number as floating point, causing the math to turn out as you expect.
In Emacs 23.2, the reader does this conversion from integer to float for you automatically if the number is too large. So if you upgrade, you won't have to worry about this.

Try
(floatp 2082844800.)
(floatp 2082844800.0)
(integerp 2082844800.)
also
(+ 0 2082844800.)
Hope that helps

Using Emacs 23.2, I see no difference between the two expressions. Which version are you using and how are you performing the calculations?
It depends on what the largest integer value your build of Emacs can represent. Anything above that is promoted from an integer to a float. You can access this information through the most-positive-fixnum/most-negative-fixnum variables. In my case, most-positive-fixnum is 536870911 which is smaller than the 2082844800 and therefore explains why both expressions were the same for me.

Related

Fused multiply-add in Racket

Is is it possible to use fused multiply-add in Racket?
I'm attempting to port some numerical code that relies on the single rounding of the fused operation, but after several searches haven't found any way to use fma or similar in Racket.
Thanks!!
You can get it from the C library using the FFI:
(require ffi/unsafe ffi/unsafe/define)
(define-ffi-definer define-libc #f)
(define-libc fma (_fun _double _double _double -> _double))
(fma 3.0 2.0 1.0)
;; => 7.0
That works for me on Linux. On Windows you may need to give a different library to define-ffi-definer.
You can also use _double* instead of _double for the arguments to automatically convert Racket's other numeric types to doubles.
If the performance is critical, you may need compiler and/or runtime support to avoid the overhead the FFI imposes. In that case, you might want to ask on the Racket Users mailing list.

emacs interactive language buffer (e.g. IPython) how to prevent echoing of masses of text?

The echoing is very slow.
Would it be good for emacs to truncate strings greater than certain number of chars?
How could I do this?
The culprit is comint-mode, where the (I)Python shell is built upon. For these cases of very large output python-mode.el offers a way to avoid comint-mode, see py-fast-process-p.

Is there any benefit to using an obarray rather than a hash-table in Emacs Lisp?

I have an Emacs Lisp program that needs to keep track of a set of strings, use them for completion and test other strings for membership in the set. In most languages without a built-in set type, I would use a dictionary or hash table with a dummy t or 1 value for this, but it occurred to me that Elisp's obarray type could also serve the purpose, with intern, intern-soft and unintern taking the place of puthash, gethash and remhash.
(I know about the cl-lib functions which operate on lists as sets, but those are not particularly relevant for this problem, which only needs a set membership test).
Is there any advantage (in speed, memory usage or otherwise) in using an obarray rather than a hash table in a modern Emacs, or are obarrays other than the main symbol table more of a leftover from before Emacs Lisp had a separate hash-table type?
Since both work, it's to a large extent a question of taste or performance.
In terms of memory usage (counted in words), an obarray uses 1 array of fixed size N plus one symbol per entry (of size 6), whereas a hash-table has a size that is more or less 5 per element plus a bit more. So memorywise, it's a wash.
In terms of speed, I don't know anyone who has bothered to measure it, so it's probably not a big issue either.
IOW, it's a question of taste. FWIW, I prefer hash tables which offer more options; obarrays are largely a historical accident in my view.

Which scripting languages support long (64 bit) integers well?

Perl has long been my choice scripting language but I've run into a horrible problem. By default there is no support for long (64 bit) integers. Most of the time an integer is just a string and they work for seeking in huge files but there are plenty of places they don't work, such as binary &, printf, pack, unpack, <<, >>.
Now these do work in newer versions of Perl but only if it is built with 64-bit integer support, which does not help if I want to make portable code to run on Perls built without this option. And you don't always get control over the Perl on a system your code runs on.
My question is do Python, PHP, and Ruby suffer from such a problem, or do they also depend on version and build options?
The size of high speed hardware integers (assuming the language has them) will always be dependent on whatever size integers are available to the compiler that compiled the language interpreter (usually C).
If you need cross-platform / cross-version big integer support, the Perl pragma use bigint; will do the trick. If you need more control, bigint is a wrapper around the module Math::BigInt.
In the scope where use bigint; is loaded, all of the integers in that scope will be transparently upgraded to Math::BigInt numbers. Lastly, when using any sort of big number library, be sure to not use tricks like 9**9**9 to get infinity, because you might be waiting a while :)
In Python, you never get overflows. Instead, python switches the implementation of numbers it is using automatically. The basic implementation uses the native ints on the platform, but long integers use an infinite length number implementation. As a result, you never have to worry about your numbers becoming too large, python just handles it naturally.
Tcl 8.5's long integer support is pretty good from a user perspective. Internally, it represents integers as whatever type is necessary to hold them (up to and including bigints) and things that consume integers will take any of them (though might impose their own limits; you don't really want to use a number that will only fit in a bigint as a Unix file mode...)
The only time you really need to think about it at all is when you're going to/from some fixed-width binary format. That's reasonably obvious though (it's fixed width after all).
Excuse me sir, bigint and Math::BigInt are part of core modules. Just friggin' use one of them, it will work on any platform.

How do I 'get' Lisp? [closed]

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I've read The Nature of Lisp. The only thing I really got out of that was "code is data." But without defining what these terms mean and why they are usually thought to be separate, I gain no insight. My initial reaction to "code is data" is, so what?
The old fashioned view: 'it' is interactive computation with symbolic expressions.
Lisp enables easy representation of all kinds of expressions:
english sentence
(the man saw the moon)
math
(2 * x ** 3 + 4 * x ** 2 - 3 * x + 3)
rules
(<- (likes Kim ?x) (likes ?x Lee) (likes ?x Kim))
and also Lisp itself
(mapcar (function sqr) (quote (1 2 3 4 5)))
and many many many more.
Lisp now allows to write programs that compute with such expressions:
(translate (quote (the man saw the moon)) (quote german))
(solve (quote (2 * x ** 3 + 4 * x ** 2 - 3 * x + 3)) (quote (x . 3)))
(show-all (quote (<- (likes Kim ?x) (likes ?x Lee) (likes ?x Kim))))
(eval (quote (mapcar (function sqr) (quote (1 2 3 4 5)))))
Interactive means that programming is a dialog with Lisp. You enter an expression and Lisp computes the side effects (for example output) and the value.
So your programming session is like 'talking' with the Lisp system. You work with it until you get the right answers.
What are these expressions? They are sentences in some language. They are part descriptions of turbines. They are theorems describing a floating point engine of an AMD processor. They are computer algebra expressions in physics. They are descriptions of circuits. They are rules in a game. They are descriptions of behavior of actors in games. They are rules in a medical diagnosis system.
Lisp allows you to write down facts, rules, formulas as symbolic expressions. It allows you to write programs that work with these expressions. You can compute the value of a formula. But you can equally easy write programs that compute new formulas from formulas (symbolic math: integrate, derive, ...). That was Lisp designed for.
As a side effect Lisp programs are represented as such expressions too. Then there is also a Lisp program that evaluates or compiles other Lisp programs. So the very idea of Lisp, the computation with symbolic expressions, has been applied to Lisp itself. Lisp programs are symbolic expressions and the computation is a Lisp expression.
Alan Kay (of Smalltalk fame) calls the original definition of Lisp evaluation in Lisp the Maxwell's equations of programming.
Write Lisp code. The only way to really 'get' Lisp (or any language, for that matter) is to roll up your sleeves and implement some things in it. Like anything else, you can read all you want, but if you want to really get a firm grasp on what's going on, you've got to step outside the theoretical and start working with the practical.
The way you "get" any language is by trying to write some code in it.
About the "data is code" thing, in most languages there is a clear separation between the code that gets executed, and the data that is processed.
For example, the following simple C-like function:
void foo(int i){
int j;
if (i % 42 == 0){
bar(i-2);
}
for (j = 0; j < i; ++j){
baz();
}
}
the actual control flow is determined once, statically, while writing the code. The function bar isn't going to change, and the if statement at the beginning of the function isn't going to disappear. This code is not data, it can not be manipulated by the program.
All that can be manipulated is the initial value of i. And on the other hand, that value can not be executed the way code can. You can call the function foo, but you can't call the variable i. So i is data, but it is not code.
Lisp does not have this distinction. The program code is data that can be manipulated too. Your code can, at runtime, take the function foo, and perhaps add another if statement, perhaps change the condition in the for-loop, perhaps replace the call to baz with another function call. All your code is data that can be inspected and manipulated as simply as the above function can inspect and manipulate the integer i.
I would highly recommend Structure and Interpretation of Computer Programs, which actually uses scheme, but that is a dialect of lisp. It will help you "get" lisp by having you do many different exercises and goes on to show some of the ways that lisp is so usefull.
I think you have to have more empathy for compiler writers to understand how fundamental the code is data thing is. I'll admit, I've never taken a compilers course, but converting any sufficiently high-level language into machine code is a hard problem, and LISP, in many ways, resembles an intermediate step in this process. In the same way that C is "close to the metal", LISP is close to the compiler.
This worked for me:
Read "The Little Schemer". It's the shortest path to get you thinking in Lisp mode (minus the macros). As a bonus, it's relatively short/fun/inexpensive.
Find a good book/tutorial to get you started with macros. I found chapter 8 of "The Scheme
Programming Language" to be a good starting point for Scheme.
http://www.ccs.neu.edu/home/matthias/BTLS/
http://www.scheme.com/tspl3/syntax.html
By watching legendary Structure and Interpretation of Computer Programs?
In Common Lisp, "code is data" boils down to this. When you write, for example:
(add 1 2)
your Lisp system will parse that text and generate a list with three elements: the symbol ADD, and the numbers 1 and 2. So now they're data. You can do whatever you want with them, replace elements, insert other stuff, etc.
The fun part is that you can pass this data on to the compiler and, because you can manipulate these data structures using Lisp itself, this means you can write programs that write other programs. This is not as complicated as it sounds, and Lispers do it all the time using macros. So, just get a book about Lisp, and try it out.
Okay, I'm going to take a crack at this. I'm new to Lisp myself, just having arrived from the world of python. I haven't experienced that sudden moment of enlightenment that all the old Lispers talk about, but I'll tell you what I am seeing so far.
First, look at this random bit of python code:
def is_palindrome(st):
l = len(st)/2
return True if st[:l] == st[:-l-1:-1] else False
Now look at this:
"""
def is_palindrome(st):
l = len(st)/2
return True if st[:l] == st[:-l-1:-1] else False
"""
What do you, as a programmer, see? The code is identical, FYI.
If you are like me, you'll tend to think of the first as active code. It consists of a number of syntactic elements.
The second, despite its similarity, is a single syntactic item. It's a string. You interact with it as a single entity. To deal with it as code - to handle it comfortably along its syntactic boundaries - you will have to do some parsing. To execute it, you need to invoke an interpreter. It's not the same thing at all as the first.
So when we do code generation in most languages what are we dealing with? Strings. When I generate HTML or SQL with python I use python strings as the interface between the two languages. Even if I generate python with python, strings are the tool.*
Doesn't the thought of that just... make you want to dance with joy? There's always this grotesque mismatch between that which you are working with and that which you are working on. I sensed that the first time that I generated SQL with perl. Differences in escaping. Differences in formatting: think about trying to get a generated html document to look tidy. Stuff isn't easy to reuse. Etc.
To solve the problem we serially create templating libraries. Scads of them. Why so many? My guess is that they're never quite satisfactory. By the time they start getting powerful enough they've turned into monstrosities. Granted, some of them - such as SQLAlchemy and Genshi in the python world - are very beautiful and admirable monstrosities. Let's... um... avoid mention of PHP.
Because strings make an awkward interface between the worked-on language and the worked-with, we create a third language - templates - to avoid them. ** This also tends to be a little awkward.
Now let's look at a block of quoted Lisp code:
'(loop for i from 1 to 8 do (print i))
What do you see? As a new Lisp coder, I've caught myself looking at that as a string. It isn't. It is inactive Lisp code. You are looking at a bunch of lists and symbols. Try to evaluate it after turning one of the parentheses around. The language won't let you do it: syntax is enforced.
Using quasiquote, we can shoehorn our own values into this inactive Lisp code:
`(loop for i from 1 to ,whatever do (print i))
Note the nature of the shoehorning: one item has been replaced with another. We aren't formatting our value into a string. We're sliding it into a slot in the code. It's all neat and tidy.
In fact if you want to directly edit the text of the code, you are in for a hassle. For example if you are inserting a name <varname> into the code, and you also want to use <varname>-tmp in the same code you can't do it directly like you can with a template string: "%s-tmp = %s". You have to extract the name into a string, rewrite the string, then turn it into a symbol again and finally insert.
If you want to grasp the essence of Lisp, I think that you might gain more by ignoring defmacro and gensyms and all that window dressing for the moment. Spend some time exploring the potential of the quasiquote, including the ,# thing. It's pretty accessible. Defmacro itself only provides an easy way to execute the result of quasiquotes. ***
What you should notice is that the hermetic string/template barrier between the worked-on and the worked-with is all but eliminated in Lisp. As you use it, you'll find that your sense of two distinct layers - active and passive - tends to dissipate. Functions call macros which call macros or functions which have functions (or macros!) passed in with their arguments. It's kind of a big soup - a little shocking for the newcomer. That said, I don't find that the distinction between macros and functions is as seamless as some Lisp people say. Mostly it's ok, but every so often as I wander in the soup I find myself bumping up against the ghost of that old barrier - and it really creeps me out!
I'll get over it, I'm sure. No matter. The convenience pays for the scare.
Now that's Lisp working on Lisp. What about working on other languages? I'm not quite there yet, personally, but I think I see the light at the end of the tunnel. You know how Lisp people keep going on about S-expressions being the same thing as a parse tree? I think the idea is to parse the foreign language into S-expressions, work on them in the amazing comfort of the Lisp environment, then send them back to native code. In theory, every language out there could be turned into S-expressions, or even executable lisp code. You're not working in a first language combined with a third language to produce code in a second language. It is all - while you are working on it - Lisp, and you can generate it all with quasiquotes.
Have a look at this (borrowed from PCL):
(define-html-macro :mp3-browser-page ((&key title (header title)) &body body)
`(:html
(:head
(:title ,title)
(:link :rel "stylesheet" :type "text/css" :href "mp3-browser.css"))
(:body
(standard-header)
(when ,header (html (:h1 :class "title" ,header)))
,#body
(standard-footer))))
Looks like an S-expression version of HTML, doesn't it? I have a feeling that Lisp works just fine as its own templating library.
I've started to wonder about an S-expression version of python. Would it qualify as a Lisp? It certainly wouldn't be Common Lisp. Maybe it would be nicer - for python programmers at least. Hey, and what about P-expressions?
* Python now has something called AST, which I haven't explored. Also a person could use python lists to represent other languages. Relative to Lisp, I suspect that both are a bit of a hack.
** SQLAlchemy is kind of an exception. It's done a nice job of turning SQL directly into python. That said, it appears to have involved significant effort.
*** Take it from a newbie. I'm sure I'm glossing over something here. Also, I realize that quasiquote is not the only way to generate code for macros. It's certainly a nice one, though.
Data is code is an interesting paradigm that supports treating a data structure as a command. Treating data in this way allows you to process and manipulate the structure in various ways - e.g. traversal - by evaluating it. Moreover, the 'data is code' paradigm obviates the need in many cases to develop custom parsers for data structures; the language parser itself can be used to parse the structures.
The first step is forgetting everything you have learned with all the C and Pascal-like languages. Empty your mind. This is the hardest step.
Then, take a good introduction to programming that uses Lisp. Don't try to correlate what you see with anything that you know beforehand (when you catch yourself doing that, repeat step 1). I liked Structure and Interpretation of Computer Programs (uses Scheme), Practical Common Lisp, Paradigms of Artificial Intelligence Programming, Casting Spels in Lisp, among others. Be sure to write out the examples. Also try the exercises, but limit yourself to the constructs you have learned in that book. If you find yourself trying to find, for example, some function to set a variable or some statement that resembles a for loop, repeat step 1, then revisit the chapters before to find out how it is done in Lisp.
Read and understand the legendary page 13 of the Lisp 1.5 Programmer's Manual
According to Alan Kay, at least.
One of the reasons that some university computer science programs use Lisp for their intro courses is that it's generally true that a novice can learn functional, procedural, or object-oriented programming more or less equally well. However, it's much harder for someone who already thinks in procedural statements to begin thinking like a functional programmer than to do the inverse.
When I tried to pick up Lisp, I did it "with a C accent." set! amd begin were my friends and constant companions. It is surprisingly easy to write Lisp code without ever writing any functional code, which isn't the point.
You may notice that I'm not answering your question, which is true. I merely wanted to let you know that it's awfully hard to get your mind thinking in a functional style, and it'll be an exciting practice that will make you a stronger programmer in the long run.
Kampai!
P.S. Also, you'll finally understand that "my other car is a cdr" bumper sticker.
To truly grok lisp, you need to write it.
Learn to love car, cdr, and cons. Don't iterate when you can recurse. Start out writing some simple programs (factorial, list reversal, dictionary lookup), and work your way up to more complex ones (sorting sets of items, pattern matching).
On the code is data and data is code thing, I wouldn't worry about it at this point. You'll understand it eventually, and its not critical to learning lisp.
I would suggest checking out some of the newer variants of Lisp like Arc or Clojure. They clean up the syntax a little and are smaller and thus easier to understand than Common Lisp. Clojure would be my choice. It is written on the JVM and so you don't have the issues with various platform implementations and library support that exist with some Lisp implementations like SBCL.
Read On Lisp and Paradigms in Artificial Intelligence Programming. Both of these have excellent coverage of Lisp macros - which really make the code is data concept real.
Also, when writing Lisp, don't iterate when you can recurse or map (learn to love mapcar).
it's important to see that data is code AND code is data. This feeds the eval/apply loop. Recursion is also fun.
(This link is broken:
![Eval/Apply][1]
[1]: http://ely.ath.cx/~piranha/random_images/lolcode-eval_apply-2.jpg
)
I'd suggest that is a horrible introduction to the language. There are better places to start and better people/articles/books than the one you cited.
Are you a programmer? What language(s)?
To help you with your question more background might be helpful.
About the whole "code is data" thing:
Isn't that due to the "von Neumann architecture"? If code and data were located in physically separate memory locations, the bits in the data memory could not be executed whereas the bits in the program memory could not be interpreted as anything but instructions to the CPU.
Do I understand this correctly?
I think to learn anything you have to have a purpose for it, such as a simple project.
For Lisp, a good simple project is a symbolic differentiator, so for example
(diff 'x 'x) -> 1
(diff 'a 'x) -> 0
(diff `(+ ,xx ,yy) 'x) where xx and yy are subexpressions
-> `(+ ,(diff xx 'x),(diff yy 'x))
etc. etc.
and then you need a simplifier, such as
(simp `(+ ,x 0)) -> x
(simp `(* ,x 0)) -> 0
etc. etc.
so if you start with a math expression, you can eval it to get its value, and you can eval its derivative to get its derivative.
I hope this illustrates what can happen when program code manipulates program code.
As Marvin Minsky observed, computer math is always worried about accuracy and roundoff error, right? Well, this is either exactly right or completely wrong!
You can get LISP in many ways, the most common is by using Emacs or working next to somebody who has developed LISP already.
Sadly, once you get LISP, it's hard to get rid of it, antibiotics won't work.
BTW: I also recommend The Adventures of a Pythonista in Schemeland.
This may be helpful: http://www.defmacro.org/ramblings/fp.html (isn't about LISP but about functional programming as a paradigm)
The way I think about it is that the best part of "code is data" is the face that function are, well, functionally no different than another variable. The fact that you can write code that writes code is one of the single most powerful (and often overlooked) features of Lisp. Functions can accept other functions as parameters, and even return functions as a result.
This lets one code at a much higher level of abstraction than, say, Java. It makes many tasks elegant and concise, and therefore, makes the code easier to modify, maintain, and read, or at least in theory.
I would say that the only way to truly "get" Lisp is to spend a lot of time with it -- once you get the hang of it, you'll wish you had some of the features of Lisp in your other programming languages.