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I'd like to know how I can distinguish between 'value' and 'expression'.
In computer science, a value is an expression which cannot be
evaluated any further (a normal form).[1] The members of a type are
the values of that type.[1] For example, the expression 1 + 2 is not a
value as it can be reduced to the expression 3. This expression cannot
be reduced any further (and is a member of the type Nat) and therefore
is a value.
I found a statement above from the url below:
https://en.wikipedia.org/wiki/Value_(computer_science) 2
From this statement I felt like:
I think "value" look like the "atom" in chemistry based upon the
definition of Mitchell, John C.
But someone denied this:
But, even expressions can be (represented as) values. The classic case
being an s-expression in Lisp-like languages. – user2864740
This talk is in another thread : what-is-the-value-in-1st-class-value 3
It would have been so simple if user2864740 didn't say anything. But he said so and I am confused.
Could someone explain me about this situation? or the difference that might exist in lisp like languages?
Thank you in advance!
[1] Mitchell, John C. (1996). Foundations for Programming Languages. The MIT Press.
If you don't know Lisp, read SICP and play with some Scheme implementation.
(the classic SICP book is a must read -it is a very good introductory book about programming-, so even if you know Lisp but didn't read SICP you really should read it; and it is freely available on-line.)
I strongly recommend reading C.Queinnec's Lisp In Small Pieces book, which explains how LISP interpreters or compilers expressions are designed, so cover your question is great details.
(actually your question needs an entire book to be answered, and Queinnec's book is that book)
LISP is an homoiconic language, hence s-expressions are values (but several values are not expressions, in particular closures). But most programming languages -C, Ocaml, Javascript, C++, Java, etc...- are (sadly) not homoiconic: their AST is not a value and expressions cannot manipulate ASTs natively.
BTW, the wikipedia sentence
a value is an expression which cannot be evaluated any further
is not always correct. For example, for the C language, values and expressions are different kind of beasts.
You should also read something about formal semantics of programming languages.
Also, reading Scott's Programming Language Pragmatics will give you a broader view (thru several programming languages).
A value is a datum: the machine representation of some piece of information, such as a number or character string. The datum belongs to a type which has an associated domain: as set of all possible values of that type. The value is an element of that set.
An expression is a datum which represents syntax: usually a structured datum build as an aggregate (usually a tree structure) of other values. However, an individual non-aggregated value can also be an expression.
The purpose of an expression may be to denote the computation of a value; in that situation, ANSI Common Lisp refers to an expression as a form. Not all expressions are forms. For instance in (let ((a 42))), (a 42) is an expression denoting, in the context of let, the variable a and its initializing form 42, and ((a 42)) is an expression denoting the complete list of binding specifications under that let.
If a form is evaluated, and the result is a datum similar to that form itself, then one of the two is the case: the form might be a literal (a value which evaluates to itself if it is treated as an expression) or it might be a quine: a clever form which doesn't directly yield itself as a value (the way a literal does) but cleverly calculates an object which is structurally identical to itself.
A value is not defined as an expression which is irreducible and denotes itself; that is a literal constant. A literal constant denotes a value. Values, however, exist in all contexts, such as the run-time context in which syntax is no longer relevant. When a program is running, it can instantiate values which never exist as a piece of syntax. If we evaluate (+ 2 2), there is a 4 which never appeared in the syntax as the expression 4. Therefore we cannot say that the value 4 is an expression which is irreducible; the value exists even if no such expression does.
In Lisp, any program's code is actually a valid data structure. For example, this adds one and two together, but it's also a list of three items.
(+ 1 2)
What benefit does that provide? What does that enable you to do that's impossible and/or less elegant in other languages?
To make things a little clearer with respect to code representation, consider that in every language code is data: all you need is strings. (And perhaps a few file operations.) Contemplating how that helps you to mimic the Lisp benefits of having a macro system is a good way for enlightenment. Even better if you try to implement such a macro system. You'll run into the advantages of having a structured representation vs the flatness of strings, the need to run the transformations first and define "syntactic hooks" to tell you where to apply them, etc etc.
But the main thing that you'll see in all of this is that macros are essentially a convenient facility for compiler hooks -- ones that are hooked on newly created keywords. As such, the only thing that is really needed is some way to have user code interact with compiler code. Flat strings are one way to do it, but they provide so little information that the macro writer is left with the task of implementing a parser from scratch. On the other hand, you could expose some internal compiler structure like the pre-parsed AST trees, but those tend to expose too much information to be convenient and it means that the compiler needs to somehow be able to parse the new syntactic extension that you intend to implement. S-expressions are a nice solution to the latter: the compiler can parse anything since the syntax is uniform. They're also a solution to the former, since they're simple structures with rich support by the language for taking them apart and re-combining them in new ways.
But of course that's not the end of the story. For example, it's interesting to compare plain symbolic macros as in CL and hygienic macros as in Scheme implementations: those are usually implemented by adding more information to the represented data, which means that you can do more with those macro system. (You can also do more with CL macros since the extra information is also available, but instead of making it part of the syntax representation, it's passed as an extra environment argument to macros.)
My favorite example... In college some friends of mine were writing a compiler in Lisp. So all their data structures including the parse tree was lisp s-expressions. When it was time to implement their code generation phase, they simply executed their parse tree.
Lisp has been developed for the manipulation of symbolic data of all kinds. It turns out that one can also see any Lisp program as symbolic data. So you can apply the manipulation capabilities of Lisp to itself.
If you want to compute with programs (to create new programs, to compile programs to machine code, to translate programs from Lisp to other languages) one has basically three choices:
use strings. This gets tedious parsing and unparsing strings all the time.
use parse trees. Useful but gets complex.
use symbolic expressions like in Lisp. The programs are preparsed into familiar datastructures (lists, symbols, strings, numbers, ...) and the manipulation routines are written in the usual language provided functionality.
So what you get with Lisp? A relatively simple way to write programs that manipulate other programs. From Macros to Compilers there are many examples of this. You also get that you can embed languages into Lisp easily.
It allows you to write macros that simply transform one tree of lists to another. Simple (Scheme) example:
(define-syntax and
(syntax-rules ()
((and) #t)
((and thing) thing)
((and thing rest ...) (if thing (and rest ...) #f))))
Notice how the macro invocations are simply matched to the (and), (and thing), and (and thing rest ...) clauses (depending on the arity of the invocation), and handled appropriately.
With other languages, macros would have to deal with some kind of internal AST of the code being transformed---there wouldn't otherwise be an easy way to "see" your code in a programmatic format---and that would increase the friction of writing macros.
In Lisp programs, macros are generally used pretty frequently, precisely because of the low friction of writing them.
What is the minimum set of primitives required such that a language is Turing complete and a lisp variant?
Seems like car, cdr and some flow control and something for REPL is enough. It be nice if there is such list.
Assume there are only 3 types of data, integers, symbols and lists.(like in picolisp)
The lambda calculus is turing complete. It has one primitive - the lambda. Translating that to a lisp syntax is pretty trivial.
There's a good discussion of this in the Lisp FAQ. It depends on your choice of primitives. McCarthy's original "LISP 1.5 Programmer's Manual" did it with five functions: CAR, CDR, CONS, EQ, and ATOM.
I believe the minimum set is what John McCarthy published in the original paper.
The Roots of Lisp.
The code.
The best way to actually know this for sure is if you implement it. I used 3 summers to create Zozotez which is a McCarty-ish LISP running on Brainfuck.
I tried to find out what I needed and on a forum you'll find a thread that says You only need lambda. Thus, you can make a whole LISP in lambda calculus if you'd like. I found it interesting, but it's hardly the way to go if you want something that eventually has side effects and works in the real world.
For a Turing complete LISP I used Paul Grahams explanation of McCarthy's paper and all you really need is:
symbol-evaluation
special form quote
special form if (or cond)
special form lambda (similar to quote)
function eq
function atom
function cons
function car
function cdr
function-dispatch (basically apply but not actually exposed to the system so it handles a list where first element is a function)
Thats 10. In addition to this, to have a implementation that you can test and not just on a drawing board:
function read
function write
Thats 12. In my Zozotez I implemeted set and flambda (anonymous macroes, like lambda) as well. I could feed it a library implementing any dynamic bound lisp (Elisp, picoLisp) with the exception of file I/O (because the underlying BF does not support it other than stdin/stdout).
I recommend anyone to implement a LISP1-interpreter, in both LISP and (not LISP), to fully understand how a language is implemented. LISP has a very simple syntax so it's a good starting point. For all other programming languages how you implement an interpreter is very similar. Eg. in the SICP videos the wizards make an interpreter for a logical language, but the structure and how to implement it is very similar to a lisp interpreter even though this language is completely different than Lisp.
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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.
Reading Paul Graham's essays on programming languages one would think that Lisp macros are the only way to go. As a busy developer, working on other platforms, I have not had the privilege of using Lisp macros. As someone who wants to understand the buzz, please explain what makes this feature so powerful.
Please also relate this to something I would understand from the worlds of Python, Java, C# or C development.
To give the short answer, macros are used for defining language syntax extensions to Common Lisp or Domain Specific Languages (DSLs). These languages are embedded right into the existing Lisp code. Now, the DSLs can have syntax similar to Lisp (like Peter Norvig's Prolog Interpreter for Common Lisp) or completely different (e.g. Infix Notation Math for Clojure).
Here is a more concrete example:Python has list comprehensions built into the language. This gives a simple syntax for a common case. The line
divisibleByTwo = [x for x in range(10) if x % 2 == 0]
yields a list containing all even numbers between 0 and 9. Back in the Python 1.5 days there was no such syntax; you'd use something more like this:
divisibleByTwo = []
for x in range( 10 ):
if x % 2 == 0:
divisibleByTwo.append( x )
These are both functionally equivalent. Let's invoke our suspension of disbelief and pretend Lisp has a very limited loop macro that just does iteration and no easy way to do the equivalent of list comprehensions.
In Lisp you could write the following. I should note this contrived example is picked to be identical to the Python code not a good example of Lisp code.
;; the following two functions just make equivalent of Python's range function
;; you can safely ignore them unless you are running this code
(defun range-helper (x)
(if (= x 0)
(list x)
(cons x (range-helper (- x 1)))))
(defun range (x)
(reverse (range-helper (- x 1))))
;; equivalent to the python example:
;; define a variable
(defvar divisibleByTwo nil)
;; loop from 0 upto and including 9
(loop for x in (range 10)
;; test for divisibility by two
if (= (mod x 2) 0)
;; append to the list
do (setq divisibleByTwo (append divisibleByTwo (list x))))
Before I go further, I should better explain what a macro is. It is a transformation performed on code by code. That is, a piece of code, read by the interpreter (or compiler), which takes in code as an argument, manipulates and the returns the result, which is then run in-place.
Of course that's a lot of typing and programmers are lazy. So we could define DSL for doing list comprehensions. In fact, we're using one macro already (the loop macro).
Lisp defines a couple of special syntax forms. The quote (') indicates the next token is a literal. The quasiquote or backtick (`) indicates the next token is a literal with escapes. Escapes are indicated by the comma operator. The literal '(1 2 3) is the equivalent of Python's [1, 2, 3]. You can assign it to another variable or use it in place. You can think of `(1 2 ,x) as the equivalent of Python's [1, 2, x] where x is a variable previously defined. This list notation is part of the magic that goes into macros. The second part is the Lisp reader which intelligently substitutes macros for code but that is best illustrated below:
So we can define a macro called lcomp (short for list comprehension). Its syntax will be exactly like the python that we used in the example [x for x in range(10) if x % 2 == 0] - (lcomp x for x in (range 10) if (= (% x 2) 0))
(defmacro lcomp (expression for var in list conditional conditional-test)
;; create a unique variable name for the result
(let ((result (gensym)))
;; the arguments are really code so we can substitute them
;; store nil in the unique variable name generated above
`(let ((,result nil))
;; var is a variable name
;; list is the list literal we are suppose to iterate over
(loop for ,var in ,list
;; conditional is if or unless
;; conditional-test is (= (mod x 2) 0) in our examples
,conditional ,conditional-test
;; and this is the action from the earlier lisp example
;; result = result + [x] in python
do (setq ,result (append ,result (list ,expression))))
;; return the result
,result)))
Now we can execute at the command line:
CL-USER> (lcomp x for x in (range 10) if (= (mod x 2) 0))
(0 2 4 6 8)
Pretty neat, huh? Now it doesn't stop there. You have a mechanism, or a paintbrush, if you like. You can have any syntax you could possibly want. Like Python or C#'s with syntax. Or .NET's LINQ syntax. In end, this is what attracts people to Lisp - ultimate flexibility.
You will find a comprehensive debate around lisp macro here.
An interesting subset of that article:
In most programming languages, syntax is complex. Macros have to take apart program syntax, analyze it, and reassemble it. They do not have access to the program's parser, so they have to depend on heuristics and best-guesses. Sometimes their cut-rate analysis is wrong, and then they break.
But Lisp is different. Lisp macros do have access to the parser, and it is a really simple parser. A Lisp macro is not handed a string, but a preparsed piece of source code in the form of a list, because the source of a Lisp program is not a string; it is a list. And Lisp programs are really good at taking apart lists and putting them back together. They do this reliably, every day.
Here is an extended example. Lisp has a macro, called "setf", that performs assignment. The simplest form of setf is
(setf x whatever)
which sets the value of the symbol "x" to the value of the expression "whatever".
Lisp also has lists; you can use the "car" and "cdr" functions to get the first element of a list or the rest of the list, respectively.
Now what if you want to replace the first element of a list with a new value? There is a standard function for doing that, and incredibly, its name is even worse than "car". It is "rplaca". But you do not have to remember "rplaca", because you can write
(setf (car somelist) whatever)
to set the car of somelist.
What is really happening here is that "setf" is a macro. At compile time, it examines its arguments, and it sees that the first one has the form (car SOMETHING). It says to itself "Oh, the programmer is trying to set the car of somthing. The function to use for that is 'rplaca'." And it quietly rewrites the code in place to:
(rplaca somelist whatever)
Common Lisp macros essentially extend the "syntactic primitives" of your code.
For example, in C, the switch/case construct only works with integral types and if you want to use it for floats or strings, you are left with nested if statements and explicit comparisons. There's also no way you can write a C macro to do the job for you.
But, since a lisp macro is (essentially) a lisp program that takes snippets of code as input and returns code to replace the "invocation" of the macro, you can extend your "primitives" repertoire as far as you want, usually ending up with a more readable program.
To do the same in C, you would have to write a custom pre-processor that eats your initial (not-quite-C) source and spits out something that a C compiler can understand. It's not a wrong way to go about it, but it's not necessarily the easiest.
Lisp macros allow you to decide when (if at all) any part or expression will be evaluated. To put a simple example, think of C's:
expr1 && expr2 && expr3 ...
What this says is: Evaluate expr1, and, should it be true, evaluate expr2, etc.
Now try to make this && into a function... thats right, you can't. Calling something like:
and(expr1, expr2, expr3)
Will evaluate all three exprs before yielding an answer regardless of whether expr1 was false!
With lisp macros you can code something like:
(defmacro && (expr1 &rest exprs)
`(if ,expr1 ;` Warning: I have not tested
(&& ,#exprs) ; this and might be wrong!
nil))
now you have an &&, which you can call just like a function and it won't evaluate any forms you pass to it unless they are all true.
To see how this is useful, contrast:
(&& (very-cheap-operation)
(very-expensive-operation)
(operation-with-serious-side-effects))
and:
and(very_cheap_operation(),
very_expensive_operation(),
operation_with_serious_side_effects());
Other things you can do with macros are creating new keywords and/or mini-languages (check out the (loop ...) macro for an example), integrating other languages into lisp, for example, you could write a macro that lets you say something like:
(setvar *rows* (sql select count(*)
from some-table
where column1 = "Yes"
and column2 like "some%string%")
And thats not even getting into Reader macros.
Hope this helps.
I don't think I've ever seen Lisp macros explained better than by this fellow: http://www.defmacro.org/ramblings/lisp.html
A lisp macro takes a program fragment as input. This program fragment is represented a data structure which can be manipulated and transformed any way you like. In the end the macro outputs another program fragment, and this fragment is what is executed at runtime.
C# does not have a macro facility, however an equivalent would be if the compiler parsed the code into a CodeDOM-tree, and passed that to a method, which transformed this into another CodeDOM, which is then compiled into IL.
This could be used to implement "sugar" syntax like the for each-statement using-clause, linq select-expressions and so on, as macros that transforms into the underlying code.
If Java had macros, you could implement Linq syntax in Java, without needing Sun to change the base language.
Here is pseudo-code for how a lisp-style macro in C# for implementing using could look:
define macro "using":
using ($type $varname = $expression) $block
into:
$type $varname;
try {
$varname = $expression;
$block;
} finally {
$varname.Dispose();
}
Since the existing answers give good concrete examples explaining what macros achieve and how, perhaps it'd help to collect together some of the thoughts on why the macro facility is a significant gain in relation to other languages; first from these answers, then a great one from elsewhere:
... in C, you would have to write a custom pre-processor [which would probably qualify as a sufficiently complicated C program] ...
—Vatine
Talk to anyone that's mastered C++ and ask them how long they spent learning all the template fudgery they need to do template metaprogramming [which is still not as powerful].
—Matt Curtis
... in Java you have to hack your way with bytecode weaving, although some frameworks like AspectJ allows you to do this using a different approach, it's fundamentally a hack.
—Miguel Ping
DOLIST is similar to Perl's foreach or Python's for. Java added a similar kind of loop construct with the "enhanced" for loop in Java 1.5, as part of JSR-201. Notice what a difference macros make. A Lisp programmer who notices a common pattern in their code can write a macro to give themselves a source-level abstraction of that pattern. A Java programmer who notices the same pattern has to convince Sun that this particular abstraction is worth adding to the language. Then Sun has to publish a JSR and convene an industry-wide "expert group" to hash everything out. That process--according to Sun--takes an average of 18 months. After that, the compiler writers all have to go upgrade their compilers to support the new feature. And even once the Java programmer's favorite compiler supports the new version of Java, they probably ''still'' can't use the new feature until they're allowed to break source compatibility with older versions of Java. So an annoyance that Common Lisp programmers can resolve for themselves within five minutes plagues Java programmers for years.
—Peter Seibel, in "Practical Common Lisp"
Think of what you can do in C or C++ with macros and templates. They're very useful tools for managing repetitive code, but they're limited in quite severe ways.
Limited macro/template syntax restricts their use. For example, you can't write a template which expands to something other than a class or a function. Macros and templates can't easily maintain internal data.
The complex, very irregular syntax of C and C++ makes it difficult to write very general macros.
Lisp and Lisp macros solve these problems.
Lisp macros are written in Lisp. You have the full power of Lisp to write the macro.
Lisp has a very regular syntax.
Talk to anyone that's mastered C++ and ask them how long they spent learning all the template fudgery they need to do template metaprogramming. Or all the crazy tricks in (excellent) books like Modern C++ Design, which are still tough to debug and (in practice) non-portable between real-world compilers even though the language has been standardised for a decade. All of that melts away if the langauge you use for metaprogramming is the same language you use for programming!
I'm not sure I can add some insight to everyone's (excellent) posts, but...
Lisp macros work great because of the Lisp syntax nature.
Lisp is an extremely regular language (think of everything is a list); macros enables you to treat data and code as the same (no string parsing or other hacks are needed to modify lisp expressions). You combine these two features and you have a very clean way to modify code.
Edit: What I was trying to say is that Lisp is homoiconic, which means that the data structure for a lisp program is written in lisp itself.
So, you end up with a way of creating your own code generator on top of the language using the language itself with all its power (eg. in Java you have to hack your way with bytecode weaving, although some frameworks like AspectJ allows you to do this using a different approach, it's fundamentally a hack).
In practice, with macros you end up building your own mini-language on top of lisp, without the need to learn additional languages or tooling, and with using the full power of the language itself.
Lisp macros represents a pattern that occurs in almost any sizeable programming project. Eventually in a large program you have a certain section of code where you realize it would be simpler and less error prone for you to write a program that outputs source code as text which you can then just paste in.
In Python objects have two methods __repr__ and __str__. __str__ is simply the human readable representation. __repr__ returns a representation that is valid Python code, which is to say, something that can be entered into the interpreter as valid Python. This way you can create little snippets of Python that generate valid code that can be pasted into your actually source.
In Lisp this whole process has been formalized by the macro system. Sure it enables you to create extensions to the syntax and do all sorts of fancy things, but it's actual usefulness is summed up by the above. Of course it helps that the Lisp macro system allows you to manipulate these "snippets" with the full power of the entire language.
In short, macros are transformations of code. They allow to introduce many new syntax constructs. E.g., consider LINQ in C#. In lisp, there are similar language extensions that are implemented by macros (e.g., built-in loop construct, iterate). Macros significantly decrease code duplication. Macros allow embedding «little languages» (e.g., where in c#/java one would use xml to configure, in lisp the same thing can be achieved with macros). Macros may hide difficulties of using libraries usage.
E.g., in lisp you can write
(iter (for (id name) in-clsql-query "select id, name from users" on-database *users-database*)
(format t "User with ID of ~A has name ~A.~%" id name))
and this hides all the database stuff (transactions, proper connection closing, fetching data, etc.) whereas in C# this requires creating SqlConnections, SqlCommands, adding SqlParameters to SqlCommands, looping on SqlDataReaders, properly closing them.
While the above all explains what macros are and even have cool examples, I think the key difference between a macro and a normal function is that LISP evaluates all the parameters first before calling the function. With a macro it's the reverse, LISP passes the parameters unevaluated to the macro. For example, if you pass (+ 1 2) to a function, the function will receive the value 3. If you pass this to a macro, it will receive a List( + 1 2). This can be used to do all kinds of incredibly useful stuff.
Adding a new control structure, e.g. loop or the deconstruction of a list
Measure the time it takes to execute a function passed in. With a function the parameter would be evaluated before control is passed to the function. With the macro, you can splice your code between the start and stop of your stopwatch. The below has the exact same code in a macro and a function and the output is very different. Note: This is a contrived example and the implementation was chosen so that it is identical to better highlight the difference.
(defmacro working-timer (b)
(let (
(start (get-universal-time))
(result (eval b))) ;; not splicing here to keep stuff simple
((- (get-universal-time) start))))
(defun my-broken-timer (b)
(let (
(start (get-universal-time))
(result (eval b))) ;; doesn't even need eval
((- (get-universal-time) start))))
(working-timer (sleep 10)) => 10
(broken-timer (sleep 10)) => 0
One-liner answer:
Minimal syntax => Macros over Expressions => Conciseness => Abstraction => Power
Lisp macros do nothing more than writing codes programmatically. That is, after expanding the macros, you got nothing more than Lisp code without macros. So, in principle, they achieve nothing new.
However, they differ from macros in other programming languages in that they write codes on the level of expressions, whereas others' macros write codes on the level of strings. This is unique to lisp thanks to their parenthesis; or put more precisely, their minimal syntax which is possible thanks to their parentheses.
As shown in many examples in this thread, and also Paul Graham's On Lisp, lisp macros can then be a tool to make your code much more concise. When conciseness reaches a point, it offers new levels of abstractions for codes to be much cleaner. Going back to the first point again, in principle they do not offer anything new, but that's like saying since paper and pencils (almost) form a Turing machine, we do not need an actual computer.
If one knows some math, think about why functors and natural transformations are useful ideas. In principle, they do not offer anything new. However by expanding what they are into lower-level math you'll see that a combination of a few simple ideas (in terms of category theory) could take 10 pages to be written down. Which one do you prefer?
I got this from the common lisp cookbook and I think it explained why lisp macros are useful.
"A macro is an ordinary piece of Lisp code that operates on another piece of putative Lisp code, translating it into (a version closer to) executable Lisp. That may sound a bit complicated, so let's give a simple example. Suppose you want a version of setq that sets two variables to the same value. So if you write
(setq2 x y (+ z 3))
when z=8 both x and y are set to 11. (I can't think of any use for this, but it's just an example.)
It should be obvious that we can't define setq2 as a function. If x=50 and y=-5, this function would receive the values 50, -5, and 11; it would have no knowledge of what variables were supposed to be set. What we really want to say is, When you (the Lisp system) see (setq2 v1 v2 e), treat it as equivalent to (progn (setq v1 e) (setq v2 e)). Actually, this isn't quite right, but it will do for now. A macro allows us to do precisely this, by specifying a program for transforming the input pattern (setq2 v1 v2 e)" into the output pattern (progn ...)."
If you thought this was nice you can keep on reading here:
http://cl-cookbook.sourceforge.net/macros.html
In python you have decorators, you basically have a function that takes another function as input. You can do what ever you want: call the function, do something else, wrap the function call in a resource acquire release, etc. but you don't get to peek inside that function. Say we wanted to make it more powerful, say your decorator received the code of the function as a list then you could not only execute the function as is but you can now execute parts of it, reorder lines of the function etc.