Elegant way of dealing with the discontinuity that arises when passing from 0**1e-15 to 1e-15**1e-15 - language-agnostic

Most programming language follow the (IEEE 754-2008) convention that 0**0 == 1 is true (cf., e.g., this SO-question).
However, how would you elegantly make that consistent with the fact of having a number close to 1 when dealing with, say, 0**1e-15, which returns 0 while (somehow inconsistently), 1e-15**1e-15 returns 0.9999999999999655.
To be "smoothed", this discontinuity may imply convoluted i) "if-else"-like statements or ii) from-0 +1e-15 incrementations that I would like to avoid if possible.
I am facing that under Python, even if, depending on the answers, my question may not be python-specific.

Related

What is an Abstract Syntax Tree/Is it needed?

I've been interested in compiler/interpreter design/implementation for as long as I've been programming (only 5 years now) and it's always seemed like the "magic" behind the scenes that nobody really talks about (I know of at least 2 forums for operating system development, but I don't know of any community for compiler/interpreter/language development). Anyways, recently I've decided to start working on my own, in hopes to expand my knowledge of programming as a whole (and hey, it's pretty fun :). So, based off the limited amount of reading material I have, and Wikipedia, I've developed this concept of the components for a compiler/interpreter:
Source code -> Lexical Analysis -> Abstract Syntax Tree -> Syntactic Analysis -> Semantic Analysis -> Code Generation -> Executable Code.
(I know there's more to code generation and executable code, but I haven't gotten that far yet :)
And with that knowledge, I've created a very basic lexer (in Java) to take input from a source file, and output the tokens into another file. A sample input/output would look like this:
Input:
int a := 2
if(a = 3) then
print "Yay!"
endif
Output (from lexer):
INTEGER
A
ASSIGN
2
IF
L_PAR
A
COMP
3
R_PAR
THEN
PRINT
YAY!
ENDIF
Personally, I think it would be really easy to go from there to syntactic/semantic analysis, and possibly even code generation, which leads me to question: Why use an AST, when it seems that my lexer is doing just as good a job? However, 100% of my sources I use to research this topic all seem adamant that this is a necessary part of any compiler/interpreter. Am I missing the point of what an AST really is (a tree that shows the logical flow of a program)?
TL;DR: Currently in route to develop a compiler, finished the lexer, seems to me like the output would make for easy syntactic analysis/semantic analysis, rather than doing an AST. So why use one? Am I missing the point of one?
Thanks!
First off, one thing about your list of components does not make sense. Building an AST is (pretty much) the syntactic analysis, so it either shouldn't be in there, or at least come before the AST.
What you got there is a lexer. All it gives you are individual tokens. In any case, you will need an actual parser, because regular languages aren't any fun to program in. You can't even (properly) nest expressions. Heck, you can't even handle operator precedence. A token stream doesn't give you:
An idea where statements and expressions start and end.
An idea how statements are grouped into blocks.
An idea Which part of the expression has which precedence, associativity, etc.
A clear, uncluttered view at the actual structure of the program.
A structure which can be passed through a myriad of transformations, without every single pass knowing and having code to accomodate that the condition in an if is enclosed by parentheses.
... more generally, any kind of comprehension above the level of a single token.
Suppose you have two passes in your compiler which optimize certain kinds of operators applies to certain arguments (say, constant folding and algebraic simplifications like x - x -> 0). If you hand them tokens for the expression x - x * 1, these passes are cluttered with figuring out that the x * 1 part comes first. And they have to know that, lest the transformation is incorrect (consider 1 + 2 * 3).
These things are tricky enough to get right as it is, so you don't want to be pestered by parsing problems as well. That's why you solve the parsing problem first, in a separate parsing step. Then you can, say, replace a function call with its definition, without worrying about adding parenthesis so the meaning remains the same. You save time, you separate concerns, you avoid repetition, you enable simpler code in many other places, etc.
A parser figures all that out, and builds an AST which consequently holds all that information. Without any further data on the nodes, the shape of the AST alone gives you no. 1, 2, 3, and much more, for free. None of the bazillion passes that follow have to worry about it anymore.
That's not to say you always have to have an AST. For sufficiently simple languages, you can do a single-pass compiler. Instead of generating an AST or some other intermediate representation during parsing, you emit code as you go. However, this becomes harder for less simple languages and you can't reasonably do a lot of stuff (such as 70% of all optimizations and diagnostics -- and yes I just made that number up). Generally, I wouldn't advise you to do this. There are good reasons single-pass compilers are mostly dead. Even languages which permit them (e.g. C) are nowadays implemented with multiple passes and ASTs. It's a simple way to get started, but will severely limit you (and the language, if you design it) later.
You've got the AST at the wrong point in your flow diagram. Typically, the output of the lexer is a series of tokens (as you have in your output), and these are fed to the parser/syntactic analyzer, which generates the AST. So the output of your lexer is different from an AST because they are used at different points in the compilation process and fulfill different purposes.
The next logical question is: What, then, is an AST? Well, the purpose of parsing/syntactic analysis is to turn the series of tokens generated by the lexer into an AST (or parse tree). The AST is an intermediate representation that captures the relationship between syntactical elements in a way that is easier to work with programmatically. One way of thinking about this is that a text program is a one dimensional construct, and can only represent ideas as a sequence of elements, while the AST is freed from this constraint, and can represent the underlying relationships between those elements in 2 dimensions (as typically drawn), or any higher dimension space if you so choose to think about it that way.
For instance, a binary operator has two operands, let's call them A and B. In code, this may be spelled 'A * B' (assuming an infix operator - another advantage of an AST is to hide such distinctions that may be important syntactically, but not semantically), but for the compiler to "understand" this expression, it must read 5 characters sequentially, and this logic can quickly become cumbersome, given the many possibilities in even a small language. In an AST representation, however, we have a "binary operator" node whose value is '*', and that node has two children, values 'A' and 'B'.
As your compiler project progresses, I think you will begin to see the advantages of this representation.

Do any general purpose languages support n + 2 = 3 and beyond?

Do any general purpose languages support, for example:
n + 2 = 3;
To ensure that possibly among other things that 'n' will now read as 1, or in other cases as a somewhat but not entirly uncertain value.
Beyond this are there any that can suport this concept for algorythmic stuff in general, for example a mixture of strings and numbers with concepts such as concatenate, substring, numerical bitwise rotate etc... not because somone hard coded it into the languege but because the languege understands about using it's knowledge of how things work (your C++ style classes, your classless scripting language like objects, functions that exist etc...) and using this knowledge to rearrange things, as is common in algebra.
I guess only Prolog can do that kind of stuff (counting only well known programming languages).
Certainly: Algol 60 purports to support this particular case if I remember rightly (not sure .. its been a while :) However only the simple linear case, which isn't useful since it is easy enough to subtract the constant from both sides in your head.
However many modern languages pose to the compiler very much harder problems to solve in terms of their type systems. Many allow posing of typing issues which have a solution but which the compiler cannot solve, this is particular true with compilers that do type inference.
Haskell had so-called "n-plus-k" patterns, where for example you could write the factorial function as:
fac 0 = 1
fac (n+1) = (n+1) * fac n
This is now viewed as A Bad Idea (some reasons here), and was removed from the language specification (deprecated in Haskell98 and removed in Haskell2010). But! There is a more sophisticated, more general form being worked on for future versions of Haskell:
View Patterns -- see the section "N+K Patterns"
General purpose languages are called general purpose for a reason. You don't solve math problems with them.
None of GP languages I know of allow expressions on the left side of assignment. Erlang has pattern matching, but that's an entirely different thing.

Pattern matching with associative and commutative operators

Pattern matching (as found in e.g. Prolog, the ML family languages and various expert system shells) normally operates by matching a query against data element by element in strict order.
In domains like automated theorem proving, however, there is a requirement to take into account that some operators are associative and commutative. Suppose we have data
A or B or C
and query
C or $X
Going by surface syntax this doesn't match, but logically it should match with $X bound to A or B because or is associative and commutative.
Is there any existing system, in any language, that does this sort of thing?
Associative-Commutative pattern matching has been around since 1981 and earlier, and is still a hot topic today.
There are lots of systems that implement this idea and make it useful; it means you can avoid write complicated pattern matches when associtivity or commutativity could be used to make the pattern match. Yes, it can be expensive; better the pattern matcher do this automatically, than you do it badly by hand.
You can see an example in a rewrite system for algebra and simple calculus implemented using our program transformation system. In this example, the symbolic language to be processed is defined by grammar rules, and those rules that have A-C properties are marked. Rewrites on trees produced by parsing the symbolic language are automatically extended to match.
The maude term rewriter implements associative and commutative pattern matching.
http://maude.cs.uiuc.edu/
I've never encountered such a thing, and I just had a more detailed look.
There is a sound computational reason for not implementing this by default - one has to essentially generate all combinations of the input before pattern matching, or you have to generate the full cross-product worth of match clauses.
I suspect that the usual way to implement this would be to simply write both patterns (in the binary case), i.e., have patterns for both C or $X and $X or C.
Depending on the underlying organisation of data (it's usually tuples), this pattern matching would involve rearranging the order of tuple elements, which would be weird (particularly in a strongly typed environment!). If it's lists instead, then you're on even shakier ground.
Incidentally, I suspect that the operation you fundamentally want is disjoint union patterns on sets, e.g.:
foo (Or ({C} disjointUnion {X})) = ...
The only programming environment I've seen that deals with sets in any detail would be Isabelle/HOL, and I'm still not sure that you can construct pattern matches over them.
EDIT: It looks like Isabelle's function functionality (rather than fun) will let you define complex non-constructor patterns, except then you have to prove that they are used consistently, and you can't use the code generator anymore.
EDIT 2: The way I implemented similar functionality over n commutative, associative and transitive operators was this:
My terms were of the form A | B | C | D, while queries were of the form B | C | $X, where $X was permitted to match zero or more things. I pre-sorted these using lexographic ordering, so that variables always occurred in the last position.
First, you construct all pairwise matches, ignoring variables for now, and recording those that match according to your rules.
{ (B,B), (C,C) }
If you treat this as a bipartite graph, then you are essentially doing a perfect marriage problem. There exist fast algorithms for finding these.
Assuming you find one, then you gather up everything that does not appear on the left-hand side of your relation (in this example, A and D), and you stuff them into the variable $X, and your match is complete. Obviously you can fail at any stage here, but this will mostly happen if there is no variable free on the RHS, or if there exists a constructor on the LHS that is not matched by anything (preventing you from finding a perfect match).
Sorry if this is a bit muddled. It's been a while since I wrote this code, but I hope this helps you, even a little bit!
For the record, this might not be a good approach in all cases. I had very complex notions of 'match' on subterms (i.e., not simple equality), and so building sets or anything would not have worked. Maybe that'll work in your case though and you can compute disjoint unions directly.

What are "magic numbers" in computer programming?

When people talk about the use of "magic numbers" in computer programming, what do they mean?
Magic numbers are any number in your code that isn't immediately obvious to someone with very little knowledge.
For example, the following piece of code:
sz = sz + 729;
has a magic number in it and would be far better written as:
sz = sz + CAPACITY_INCREMENT;
Some extreme views state that you should never have any numbers in your code except -1, 0 and 1 but I prefer a somewhat less dogmatic view since I would instantly recognise 24, 1440, 86400, 3.1415, 2.71828 and 1.414 - it all depends on your knowledge.
However, even though I know there are 1440 minutes in a day, I would probably still use a MINS_PER_DAY identifier since it makes searching for them that much easier. Whose to say that the capacity increment mentioned above wouldn't also be 1440 and you end up changing the wrong value? This is especially true for the low numbers: the chance of dual use of 37197 is relatively low, the chance of using 5 for multiple things is pretty high.
Use of an identifier means that you wouldn't have to go through all your 700 source files and change 729 to 730 when the capacity increment changed. You could just change the one line:
#define CAPACITY_INCREMENT 729
to:
#define CAPACITY_INCREMENT 730
and recompile the lot.
Contrast this with magic constants which are the result of naive people thinking that just because they remove the actual numbers from their code, they can change:
x = x + 4;
to:
#define FOUR 4
x = x + FOUR;
That adds absolutely zero extra information to your code and is a total waste of time.
"magic numbers" are numbers that appear in statements like
if days == 365
Assuming you didn't know there were 365 days in a year, you'd find this statement meaningless. Thus, it's good practice to assign all "magic" numbers (numbers that have some kind of significance in your program) to a constant,
DAYS_IN_A_YEAR = 365
And from then on, compare to that instead. It's easier to read, and if the earth ever gets knocked out of alignment, and we gain an extra day... you can easily change it (other numbers might be more likely to change).
There's more than one meaning. The one given by most answers already (an arbitrary unnamed number) is a very common one, and the only thing I'll say about that is that some people go to the extreme of defining...
#define ZERO 0
#define ONE 1
If you do this, I will hunt you down and show no mercy.
Another kind of magic number, though, is used in file formats. It's just a value included as typically the first thing in the file which helps identify the file format, the version of the file format and/or the endian-ness of the particular file.
For example, you might have a magic number of 0x12345678. If you see that magic number, it's a fair guess you're seeing a file of the correct format. If you see, on the other hand, 0x78563412, it's a fair guess that you're seeing an endian-swapped version of the same file format.
The term "magic number" gets abused a bit, though, referring to almost anything that identifies a file format - including quite long ASCII strings in the header.
http://en.wikipedia.org/wiki/File_format#Magic_number
Wikipedia is your friend (Magic Number article)
Most of the answers so far have described a magic number as a constant that isn't self describing. Being a little bit of an "old-school" programmer myself, back in the day we described magic numbers as being any constant that is being assigned some special purpose that influences the behaviour of the code. For example, the number 999999 or MAX_INT or something else completely arbitrary.
The big problem with magic numbers is that their purpose can easily be forgotten, or the value used in another perfectly reasonable context.
As a crude and terribly contrived example:
while (int i != 99999)
{
DoSomeCleverCalculationBasedOnTheValueOf(i);
if (escapeConditionReached)
{
i = 99999;
}
}
The fact that a constant is used or not named isn't really the issue. In the case of my awful example, the value influences behaviour, but what if we need to change the value of "i" while looping?
Clearly in the example above, you don't NEED a magic number to exit the loop. You could replace it with a break statement, and that is the real issue with magic numbers, that they are a lazy approach to coding, and without fail can always be replaced by something less prone to either failure, or to losing meaning over time.
Anything that doesn't have a readily apparent meaning to anyone but the application itself.
if (foo == 3) {
// do something
} else if (foo == 4) {
// delete all users
}
Magic numbers are special value of certain variables which causes the program to behave in an special manner.
For example, a communication library might take a Timeout parameter and it can define the magic number "-1" for indicating infinite timeout.
The term magic number is usually used to describe some numeric constant in code. The number appears without any further description and thus its meaning is esoteric.
The use of magic numbers can be avoided by using named constants.
Using numbers in calculations other than 0 or 1 that aren't defined by some identifier or variable (which not only makes the number easy to change in several places by changing it in one place, but also makes it clear to the reader what the number is for).
In simple and true words, a magic number is a three-digit number, whose sum of the squares of the first two digits is equal to the third one.
Ex-202,
as, 2*2 + 0*0 = 2*2.
Now, WAP in java to accept an integer and print whether is a magic number or not.
It may seem a bit banal, but there IS at least one real magic number in every programming language.
0
I argue that it is THE magic wand to rule them all in virtually every programmer's quiver of magic wands.
FALSE is inevitably 0
TRUE is not(FALSE), but not necessarily 1! Could be -1 (0xFFFF)
NULL is inevitably 0 (the pointer)
And most compilers allow it unless their typechecking is utterly rabid.
0 is the base index of array elements, except in languages that are so antiquated that the base index is '1'. One can then conveniently code for(i = 0; i < 32; i++), and expect that 'i' will start at the base (0), and increment to, and stop at 32-1... the 32nd member of an array, or whatever.
0 is the end of many programming language strings. The "stop here" value.
0 is likewise built into the X86 instructions to 'move strings efficiently'. Saves many microseconds.
0 is often used by programmers to indicate that "nothing went wrong" in a routine's execution. It is the "not-an-exception" code value. One can use it to indicate the lack of thrown exceptions.
Zero is the answer most often given by programmers to the amount of work it would take to do something completely trivial, like change the color of the active cell to purple instead of bright pink. "Zero, man, just like zero!"
0 is the count of bugs in a program that we aspire to achieve. 0 exceptions unaccounted for, 0 loops unterminated, 0 recursion pathways that cannot be actually taken. 0 is the asymptote that we're trying to achieve in programming labor, girlfriend (or boyfriend) "issues", lousy restaurant experiences and general idiosyncracies of one's car.
Yes, 0 is a magic number indeed. FAR more magic than any other value. Nothing ... ahem, comes close.
rlynch#datalyser.com

Why is it bad to use goto? [duplicate]

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Everyone is aware of Dijkstra's Letters to the editor: go to statement considered harmful (also here .html transcript and here .pdf) and there has been a formidable push since that time to eschew the goto statement whenever possible. While it's possible to use goto to produce unmaintainable, sprawling code, it nevertheless remains in modern programming languages. Even the advanced continuation control structure in Scheme can be described as a sophisticated goto.
What circumstances warrant the use of goto? When is it best to avoid?
As a follow-up question: C provides a pair of functions, setjmp() and longjmp(), that provide the ability to goto not just within the current stack frame but within any of the calling frames. Should these be considered as dangerous as goto? More dangerous?
Dijkstra himself regretted that title, for which he was not responsible. At the end of EWD1308 (also here .pdf) he wrote:
Finally a short story for the record.
In 1968, the Communications of the ACM
published a text of mine under the
title "The goto statement considered
harmful", which in later years would
be most frequently referenced,
regrettably, however, often by authors
who had seen no more of it than its
title, which became a cornerstone of
my fame by becoming a template: we
would see all sorts of articles under
the title "X considered harmful" for
almost any X, including one titled
"Dijkstra considered harmful". But
what had happened? I had submitted a
paper under the title "A case against
the goto statement", which, in order
to speed up its publication, the
editor had changed into a "letter to
the Editor", and in the process he had
given it a new title of his own
invention! The editor was Niklaus
Wirth.
A well thought out classic paper about this topic, to be matched to that of Dijkstra, is Structured Programming with go to Statements, by Donald E. Knuth. Reading both helps to reestablish context and a non-dogmatic understanding of the subject. In this paper, Dijkstra's opinion on this case is reported and is even more strong:
Donald E. Knuth: I believe that by presenting such a
view I am not in fact disagreeing
sharply with Dijkstra's ideas, since
he recently wrote the following:
"Please don't fall into the trap of
believing that I am terribly
dogmatical about [the go to
statement]. I have the uncomfortable
feeling that others are making a
religion out of it, as if the
conceptual problems of programming
could be solved by a single trick, by
a simple form of coding discipline!"
A coworker of mine said the only reason to use a GOTO is if you programmed yourself so far into a corner that it is the only way out. In other words, proper design ahead of time and you won't need to use a GOTO later.
I thought this comic illustrates that beautifully "I could restructure the program's flow, or use one little 'GOTO' instead." A GOTO is a weak way out when you have weak design. Velociraptors prey on the weak.
The following statements are generalizations; while it is always possible to plead exception, it usually (in my experience and humble opinion) isn't worth the risks.
Unconstrained use of memory addresses (either GOTO or raw pointers) provides too many opportunities to make easily avoidable mistakes.
The more ways there are to arrive at a particular "location" in the code, the less confident one can be about what the state of the system is at that point. (See below.)
Structured programming IMHO is less about "avoiding GOTOs" and more about making the structure of the code match the structure of the data. For example, a repeating data structure (e.g. array, sequential file, etc.) is naturally processed by a repeated unit of code. Having built-in structures (e.g. while, for, until, for-each, etc.) allows the programmer to avoid the tedium of repeating the same cliched code patterns.
Even if GOTO is low-level implementation detail (not always the case!) it's below the level that the programmer should be thinking. How many programmers balance their personal checkbooks in raw binary? How many programmers worry about which sector on the disk contains a particular record, instead of just providing a key to a database engine (and how many ways could things go wrong if we really wrote all of our programs in terms of physical disk sectors)?
Footnotes to the above:
Regarding point 2, consider the following code:
a = b + 1
/* do something with a */
At the "do something" point in the code, we can state with high confidence that a is greater than b. (Yes, I'm ignoring the possibility of untrapped integer overflow. Let's not bog down a simple example.)
On the other hand, if the code had read this way:
...
goto 10
...
a = b + 1
10: /* do something with a */
...
goto 10
...
The multiplicity of ways to get to label 10 means that we have to work much harder to be confident about the relationships between a and b at that point. (In fact, in the general case it's undecideable!)
Regarding point 4, the whole notion of "going someplace" in the code is just a metaphor. Nothing is really "going" anywhere inside the CPU except electrons and photons (for the waste heat). Sometimes we give up a metaphor for another, more useful, one. I recall encountering (a few decades ago!) a language where
if (some condition) {
action-1
} else {
action-2
}
was implemented on a virtual machine by compiling action-1 and action-2 as out-of-line parameterless routines, then using a single two-argument VM opcode which used the boolean value of the condition to invoke one or the other. The concept was simply "choose what to invoke now" rather than "go here or go there". Again, just a change of metaphor.
Sometimes it is valid to use GOTO as an alternative to exception handling within a single function:
if (f() == false) goto err_cleanup;
if (g() == false) goto err_cleanup;
if (h() == false) goto err_cleanup;
return;
err_cleanup:
...
COM code seems to fall into this pattern fairly often.
I can only recall using a goto once. I had a series of five nested counted loops and I needed to be able to break out of the entire structure from the inside early based on certain conditions:
for{
for{
for{
for{
for{
if(stuff){
GOTO ENDOFLOOPS;
}
}
}
}
}
}
ENDOFLOOPS:
I could just have easily declared a boolean break variable and used it as part of the conditional for each loop, but in this instance I decided a GOTO was just as practical and just as readable.
No velociraptors attacked me.
Goto is extremely low on my list of things to include in a program just for the sake of it. That doesn't mean it's unacceptable.
Goto can be nice for state machines. A switch statement in a loop is (in order of typical importance): (a) not actually representative of the control flow, (b) ugly, (c) potentially inefficient depending on language and compiler. So you end up writing one function per state, and doing things like "return NEXT_STATE;" which even look like goto.
Granted, it is difficult to code state machines in a way which make them easy to understand. However, none of that difficulty is to do with using goto, and none of it can be reduced by using alternative control structures. Unless your language has a 'state machine' construct. Mine doesn't.
On those rare occasions when your algorithm really is most comprehensible in terms of a path through a sequence of nodes (states) connected by a limited set of permissible transitions (gotos), rather than by any more specific control flow (loops, conditionals, whatnot), then that should be explicit in the code. And you ought to draw a pretty diagram.
setjmp/longjmp can be nice for implementing exceptions or exception-like behaviour. While not universally praised, exceptions are generally considered a "valid" control structure.
setjmp/longjmp are 'more dangerous' than goto in the sense that they're harder to use correctly, never mind comprehensibly.
There never has been, nor will there
ever be, any language in which it is
the least bit difficult to write bad
code. -- Donald Knuth.
Taking goto out of C would not make it any easier to write good code in C. In fact, it would rather miss the point that C is supposed to be capable of acting as a glorified assembler language.
Next it'll be "pointers considered harmful", then "duck typing considered harmful". Then who will be left to defend you when they come to take away your unsafe programming construct? Eh?
We already had this discussion and I stand by my point.
Furthermore, I'm fed up with people describing higher-level language structures as “goto in disguise” because they clearly haven't got the point at all. For example:
Even the advanced continuation control structure in Scheme can be described as a sophisticated goto.
That is complete nonsense. Every control structure can be implemented in terms of goto but this observation is utterly trivial and useless. goto isn't considered harmful because of its positive effects but because of its negative consequences and these have been eliminated by structured programming.
Similarly, saying “GOTO is a tool, and as all tools, it can be used and abused” is completely off the mark. No modern construction worker would use a rock and claim it “is a tool.” Rocks have been replaced by hammers. goto has been replaced by control structures. If the construction worker were stranded in the wild without a hammer, of course he would use a rock instead. If a programmer has to use an inferior programming language that doesn't have feature X, well, of course she may have to use goto instead. But if she uses it anywhere else instead of the appropriate language feature she clearly hasn't understood the language properly and uses it wrongly. It's really as simple as that.
In Linux: Using goto In Kernel Code on Kernel Trap, there's a discussion with Linus Torvalds and a "new guy" about the use of GOTOs in Linux code. There are some very good points there and Linus dressed in that usual arrogance :)
Some passages:
Linus: "No, you've been brainwashed by
CS people who thought that Niklaus
Wirth actually knew what he was
talking about. He didn't. He doesn't
have a frigging clue."
-
Linus: "I think goto's are fine, and
they are often more readable than
large amounts of indentation."
-
Linus: "Of course, in stupid languages
like Pascal, where labels cannot be
descriptive, goto's can be bad."
In C, goto only works within the scope of the current function, which tends to localise any potential bugs. setjmp and longjmp are far more dangerous, being non-local, complicated and implementation-dependent. In practice however, they're too obscure and uncommon to cause many problems.
I believe that the danger of goto in C is greatly exaggerated. Remember that the original goto arguments took place back in the days of languages like old-fashioned BASIC, where beginners would write spaghetti code like this:
3420 IF A > 2 THEN GOTO 1430
Here Linus describes an appropriate use of goto: http://www.kernel.org/doc/Documentation/CodingStyle (chapter 7).
Today, it's hard to see the big deal about the GOTO statement because the "structured programming" people mostly won the debate and today's languages have sufficient control flow structures to avoid GOTO.
Count the number of gotos in a modern C program. Now add the number of break, continue, and return statements. Furthermore, add the number of times you use if, else, while, switch or case. That's about how many GOTOs your program would have had if you were writing in FORTRAN or BASIC in 1968 when Dijkstra wrote his letter.
Programming languages at the time were lacking in control flow. For example, in the original Dartmouth BASIC:
IF statements had no ELSE. If you wanted one, you had to write:
100 IF NOT condition THEN GOTO 200
...stuff to do if condition is true...
190 GOTO 300
200 REM else
...stuff to do if condition is false...
300 REM end if
Even if your IF statement didn't need an ELSE, it was still limited to a single line, which usually consisted of a GOTO.
There was no DO...LOOP statement. For non-FOR loops, you had to end the loop with an explicit GOTO or IF...GOTO back to the beginning.
There was no SELECT CASE. You had to use ON...GOTO.
So, you ended up with a lot of GOTOs in your program. And you couldn't depend on the restriction of GOTOs to within a single subroutine (because GOSUB...RETURN was such a weak concept of subroutines), so these GOTOs could go anywhere. Obviously, this made control flow hard to follow.
This is where the anti-GOTO movement came from.
Go To can provide a sort of stand-in for "real" exception handling in certain cases. Consider:
ptr = malloc(size);
if (!ptr) goto label_fail;
bytes_in = read(f_in,ptr,size);
if (bytes_in=<0) goto label_fail;
bytes_out = write(f_out,ptr,bytes_in);
if (bytes_out != bytes_in) goto label_fail;
Obviously this code was simplified to take up less space, so don't get too hung up on the details. But consider an alternative I've seen all too many times in production code by coders going to absurd lengths to avoid using goto:
success=false;
do {
ptr = malloc(size);
if (!ptr) break;
bytes_in = read(f_in,ptr,size);
if (count=<0) break;
bytes_out = write(f_out,ptr,bytes_in);
if (bytes_out != bytes_in) break;
success = true;
} while (false);
Now functionally this code does the exact same thing. In fact, the code generated by the compiler is nearly identical. However, in the programmer's zeal to appease Nogoto (the dreaded god of academic rebuke), this programmer has completely broken the underlying idiom that the while loop represents, and did a real number on the readability of the code. This is not better.
So, the moral of the story is, if you find yourself resorting to something really stupid in order to avoid using goto, then don't.
Donald E. Knuth answered this question in the book "Literate Programming", 1992 CSLI. On p. 17 there is an essay "Structured Programming with goto Statements" (PDF). I think the article might have been published in other books as well.
The article describes Dijkstra's suggestion and describes the circumstances where this is valid. But he also gives a number of counter examples (problems and algorithms) which cannot be easily reproduced using structured loops only.
The article contains a complete description of the problem, the history, examples and counter examples.
Goto considered helpful.
I started programming in 1975. To 1970s-era programmers, the words "goto considered harmful" said more or less that new programming languages with modern control structures were worth trying. We did try the new languages. We quickly converted. We never went back.
We never went back, but, if you are younger, then you have never been there in the first place.
Now, a background in ancient programming languages may not be very useful except as an indicator of the programmer's age. Notwithstanding, younger programmers lack this background, so they no longer understand the message the slogan "goto considered harmful" conveyed to its intended audience at the time it was introduced.
Slogans one does not understand are not very illuminating. It is probably best to forget such slogans. Such slogans do not help.
This particular slogan however, "Goto considered harmful," has taken on an undead life of its own.
Can goto not be abused? Answer: sure, but so what? Practically every programming element can be abused. The humble bool for example is abused more often than some of us would like to believe.
By contrast, I cannot remember meeting a single, actual instance of goto abuse since 1990.
The biggest problem with goto is probably not technical but social. Programmers who do not know very much sometimes seem to feel that deprecating goto makes them sound smart. You might have to satisfy such programmers from time to time. Such is life.
The worst thing about goto today is that it is not used enough.
Attracted by Jay Ballou adding an answer, I'll add my £0.02. If Bruno Ranschaert had not already done so, I'd have mentioned Knuth's "Structured Programming with GOTO Statements" article.
One thing that I've not seen discussed is the sort of code that, while not exactly common, was taught in Fortran text books. Things like the extended range of a DO loop and open-coded subroutines (remember, this would be Fortran II, or Fortran IV, or Fortran 66 - not Fortran 77 or 90). There's at least a chance that the syntactic details are inexact, but the concepts should be accurate enough. The snippets in each case are inside a single function.
Note that the excellent but dated (and out of print) book 'The Elements of Programming Style, 2nd Edn' by Kernighan & Plauger includes some real-life examples of abuse of GOTO from programming text books of its era (late-70s). The material below is not from that book, however.
Extended range for a DO loop
do 10 i = 1,30
...blah...
...blah...
if (k.gt.4) goto 37
91 ...blah...
...blah...
10 continue
...blah...
return
37 ...some computation...
goto 91
One reason for such nonsense was the good old-fashioned punch-card. You might notice that the labels (nicely out of sequence because that was canonical style!) are in column 1 (actually, they had to be in columns 1-5) and the code is in columns 7-72 (column 6 was the continuation marker column). Columns 73-80 would be given a sequence number, and there were machines that would sort punch card decks into sequence number order. If you had your program on sequenced cards and needed to add a few cards (lines) into the middle of a loop, you'd have to repunch everything after those extra lines. However, if you replaced one card with the GOTO stuff, you could avoid resequencing all the cards - you just tucked the new cards at the end of the routine with new sequence numbers. Consider it to be the first attempt at 'green computing' - a saving of punch cards (or, more specifically, a saving of retyping labour - and a saving of consequential rekeying errors).
Oh, you might also note that I'm cheating and not shouting - Fortran IV was written in all upper-case normally.
Open-coded subroutine
...blah...
i = 1
goto 76
123 ...blah...
...blah...
i = 2
goto 76
79 ...blah...
...blah...
goto 54
...blah...
12 continue
return
76 ...calculate something...
...blah...
goto (123, 79) i
54 ...more calculation...
goto 12
The GOTO between labels 76 and 54 is a version of computed goto. If the variable i has the value 1, goto the first label in the list (123); if it has the value 2, goto the second, and so on. The fragment from 76 to the computed goto is the open-coded subroutine. It was a piece of code executed rather like a subroutine, but written out in the body of a function. (Fortran also had statement functions - which were embedded functions that fitted on a single line.)
There were worse constructs than the computed goto - you could assign labels to variables and then use an assigned goto. Googling assigned goto tells me it was deleted from Fortran 95. Chalk one up for the structured programming revolution which could fairly be said to have started in public with Dijkstra's "GOTO Considered Harmful" letter or article.
Without some knowledge of the sorts of things that were done in Fortran (and in other languages, most of which have rightly fallen by the wayside), it is hard for us newcomers to understand the scope of the problem which Dijkstra was dealing with. Heck, I didn't start programming until ten years after that letter was published (but I did have the misfortune to program in Fortran IV for a while).
There is no such things as GOTO considered harmful.
GOTO is a tool, and as all tools, it can be used and abused.
There are, however, many tools in the programming world that have a tendency to be abused more than being used, and GOTO is one of them. the WITH statement of Delphi is another.
Personally I don't use either in typical code, but I've had the odd usage of both GOTO and WITH that were warranted, and an alternative solution would've contained more code.
The best solution would be for the compiler to just warn you that the keyword was tainted, and you'd have to stuff a couple of pragma directives around the statement to get rid of the warnings.
It's like telling your kids to not run with scissors. Scissors are not bad, but some usage of them are perhaps not the best way to keep your health.
Since I began doing a few things in the linux kernel, gotos don't bother me so much as they once did. At first I was sort of horrified to see they (kernel guys) added gotos into my code. I've since become accustomed to the use of gotos, in some limited contexts, and will now occasionally use them myself. Typically, it's a goto that jumps to the end of a function to do some kind of cleanup and bail out, rather than duplicating that same cleanup and bailout in several places in the function. And typically, it's not something large enough to hand off to another function -- e.g. freeing some locally (k)malloc'ed variables is a typical case.
I've written code that used setjmp/longjmp only once. It was in a MIDI drum sequencer program. Playback happened in a separate process from all user interaction, and the playback process used shared memory with the UI process to get the limited info it needed to do the playback. When the user wanted to stop playback, the playback process just did a longjmp "back to the beginning" to start over, rather than some complicated unwinding of wherever it happened to be executing when the user wanted it to stop. It worked great, was simple, and I never had any problems or bugs related to it in that instance.
setjmp/longjmp have their place -- but that place is one you'll not likely visit but once in a very long while.
Edit: I just looked at the code. It was actually siglongjmp() that I used, not longjmp (not that it's a big deal, but I had forgotten that siglongjmp even existed.)
It never was, as long as you were able to think for yourself.
Because goto can be used for confusing metaprogramming
Goto is both a high-level and a low-level control expression, and as a result it just doesn't have a appropriate design pattern suitable for most problems.
It's low-level in the sense that a goto is a primitive operation that implements something higher like while or foreach or something.
It's high-level in the sense that when used in certain ways it takes code that executes in a clear sequence, in an uninterrupted fashion, except for structured loops, and it changes it into pieces of logic that are, with enough gotos, a grab-bag of logic being dynamically reassembled.
So, there is a prosaic and an evil side to goto.
The prosaic side is that an upward pointing goto can implement a perfectly reasonable loop and a downward-pointing goto can do a perfectly reasonable break or return. Of course, an actual while, break, or return would be a lot more readable, as the poor human wouldn't have to simulate the effect of the goto in order to get the big picture. So, a bad idea in general.
The evil side involves a routine not using goto for while, break, or return, but using it for what's called spaghetti logic. In this case the goto-happy developer is constructing pieces of code out of a maze of goto's, and the only way to understand it is to simulate it mentally as a whole, a terribly tiring task when there are many goto's. I mean, imagine the trouble of evaluating code where the else is not precisely an inverse of the if, where nested ifs might allow in some things that were rejected by the outer if, etc, etc.
Finally, to really cover the subject, we should note that essentially all early languages except Algol initially made only single statements subject to their versions of if-then-else. So, the only way to do a conditional block was to goto around it using an inverse conditional. Insane, I know, but I've read some old specs. Remember that the first computers were programmed in binary machine code so I suppose any kind of an HLL was a lifesaver; I guess they weren't too picky about exactly what HLL features they got.
Having said all that I used to stick one goto into every program I wrote "just to annoy the purists".
If you're writing a VM in C, it turns out that using (gcc's) computed gotos like this:
char run(char *pc) {
void *opcodes[3] = {&&op_inc, &&op_lda_direct, &&op_hlt};
#define NEXT_INSTR(stride) goto *(opcodes[*(pc += stride)])
NEXT_INSTR(0);
op_inc:
++acc;
NEXT_INSTR(1);
op_lda_direct:
acc = ram[++pc];
NEXT_INSTR(1);
op_hlt:
return acc;
}
works much faster than the conventional switch inside a loop.
Denying the use of the GOTO statement to programmers is like telling a carpenter not to use a hammer as it Might damage the wall while he is hammering in a nail. A real programmer Knows How and When to use a GOTO. I’ve followed behind some of these so-called ‘Structured Programs’ I’ve see such Horrid code just to avoid using a GOTO, that I could shoot the programmer. Ok, In defense of the other side, I’ve seen some real spaghetti code too and again, those programmers should be shot too.
Here is just one small example of code I’ve found.
YORN = ''
LOOP
UNTIL YORN = 'Y' OR YORN = 'N' DO
CRT 'Is this correct? (Y/N) : ':
INPUT YORN
REPEAT
IF YORN = 'N' THEN
CRT 'Aborted!'
STOP
END
-----------------------OR----------------------
10: CRT 'Is this Correct (Y)es/(N)o ':
INPUT YORN
IF YORN='N' THEN
CRT 'Aborted!'
STOP
ENDIF
IF YORN<>'Y' THEN GOTO 10
"In this link http://kerneltrap.org/node/553/2131"
Ironically, eliminating the goto introduced a bug: the spinlock call was omitted.
The original paper should be thought of as "Unconditional GOTO Considered Harmful". It was in particular advocating a form of programming based on conditional (if) and iterative (while) constructs, rather than the test-and-jump common to early code. goto is still useful in some languages or circumstances, where no appropriate control structure exists.
About the only place I agree Goto could be used is when you need to deal with errors, and each particular point an error occurs requires special handling.
For instance, if you're grabbing resources and using semaphores or mutexes, you have to grab them in order and you should always release them in the opposite manner.
Some code requires a very odd pattern of grabbing these resources, and you can't just write an easily maintained and understood control structure to correctly handle both the grabbing and releasing of these resources to avoid deadlock.
It's always possible to do it right without goto, but in this case and a few others Goto is actually the better solution primarily for readability and maintainability.
-Adam
One modern GOTO usage is by the C# compiler to create state machines for enumerators defined by yield return.
GOTO is something that should be used by compilers and not programmers.
Until C and C++ (amongst other culprits) have labelled breaks and continues, goto will continue to have a role.
If GOTO itself were evil, compilers would be evil, because they generate JMPs. If jumping into a block of code, especially following a pointer, were inherently evil, the RETurn instruction would be evil. Rather, the evil is in the potential for abuse.
At times I have had to write apps that had to keep track of a number of objects where each object had to follow an intricate sequence of states in response to events, but the whole thing was definitely single-thread. A typical sequence of states, if represented in pseudo-code would be:
request something
wait for it to be done
while some condition
request something
wait for it
if one response
while another condition
request something
wait for it
do something
endwhile
request one more thing
wait for it
else if some other response
... some other similar sequence ...
... etc, etc.
endwhile
I'm sure this is not new, but the way I handled it in C(++) was to define some macros:
#define WAIT(n) do{state=(n); enque(this); return; L##n:;}while(0)
#define DONE state = -1
#define DISPATCH0 if state < 0) return;
#define DISPATCH1 if(state==1) goto L1; DISPATCH0
#define DISPATCH2 if(state==2) goto L2; DISPATCH1
#define DISPATCH3 if(state==3) goto L3; DISPATCH2
#define DISPATCH4 if(state==4) goto L4; DISPATCH3
... as needed ...
Then (assuming state is initially 0) the structured state machine above turns into the structured code:
{
DISPATCH4; // or as high a number as needed
request something;
WAIT(1); // each WAIT has a different number
while (some condition){
request something;
WAIT(2);
if (one response){
while (another condition){
request something;
WAIT(3);
do something;
}
request one more thing;
WAIT(4);
}
else if (some other response){
... some other similar sequence ...
}
... etc, etc.
}
DONE;
}
With a variation on this, there can be CALL and RETURN, so some state machines can act like subroutines of other state machines.
Is it unusual? Yes. Does it take some learning on the part of the maintainer? Yes. Does that learning pay off? I think so. Could it be done without GOTOs that jump into blocks? Nope.
I actually found myself forced to use a goto, because I literally couldn't think of a better (faster) way to write this code:
I had a complex object, and I needed to do some operation on it. If the object was in one state, then I could do a quick version of the operation, otherwise I had to do a slow version of the operation. The thing was that in some cases, in the middle of the slow operation, it was possible to realise that this could have been done with the fast operation.
SomeObject someObject;
if (someObject.IsComplex()) // this test is trivial
{
// begin slow calculations here
if (result of calculations)
{
// just discovered that I could use the fast calculation !
goto Fast_Calculations;
}
// do the rest of the slow calculations here
return;
}
if (someObject.IsmediumComplex()) // this test is slightly less trivial
{
Fast_Calculations:
// Do fast calculations
return;
}
// object is simple, no calculations needed.
This was in a speed critical piece of realtime UI code, so I honestly think that a GOTO was justified here.
Hugo
One thing I've not seen from any of the answers here is that a 'goto' solution is often more efficient than one of the structured programming solutions often mentioned.
Consider the many-nested-loops case, where using 'goto' instead of a bunch of if(breakVariable) sections is obviously more efficient. The solution "Put your loops in a function and use return" is often totally unreasonable. In the likely case that the loops are using local variables, you now have to pass them all through function parameters, potentially handling loads of extra headaches that arise from that.
Now consider the cleanup case, which I've used myself quite often, and is so common as to have presumably been responsible for the try{} catch {} structure not available in many languages. The number of checks and extra variables that are required to accomplish the same thing are far worse than the one or two instructions to make the jump, and again, the additional function solution is not a solution at all. You can't tell me that's more manageable or more readable.
Now code space, stack usage, and execution time may not matter enough in many situations to many programmers, but when you're in an embedded environment with only 2KB of code space to work with, 50 bytes of extra instructions to avoid one clearly defined 'goto' is just laughable, and this is not as rare a situation as many high-level programmers believe.
The statement that 'goto is harmful' was very helpful in moving towards structured programming, even if it was always an over-generalization. At this point, we've all heard it enough to be wary of using it (as we should). When it's obviously the right tool for the job, we don't need to be scared of it.
I avoid it since a coworker/manager will undoubtedly question its use either in a code review or when they stumble across it. While I think it has uses (the error handling case for example) - you'll run afoul of some other developer who will have some type of problem with it.
It’s not worth it.
Almost all situations where a goto can be used, you can do the same using other constructs. Goto is used by the compiler anyway.
I personally never use it explicitly, don't ever need to.
You can use it for breaking from a deeply nested loop, but most of the time your code can be refactored to be cleaner without deeply nested loops.