How does "Pointer to Function" Syntax Work in C? - c

How (*ptr_fun1)(10) and ptr_fun1(10) are same in the below code
Code:
#include<stdio.h>
void fun1(int a)
{
printf("It is %d\n",a);
}
int main()
{
void (*ptr_fun1)(int);
ptr_fun1 = fun1;
/*
ex-
ptr_fun1 fun1
+----+ +-----+
+1000+ +code +
+----+ +-----+
1234 1000
fun1(10); <=> ptr_fun1(10); //how
*/
printf("%d\n%d",ptr_fun1(10),(*ptr_fun1)(20));
return 0;
}
output
10
20
Can some one please explain how it works.

The syntax for declaring (and using) function pointers in C (and C++) is one of the most puzzling aspects of the language for beginners. I shall try to explain a little, here.
First, let's consider pointers to 'simple' types (we'll take the 'int' type as an example). In this case, declaring a variable of the type is trivial: int N; Also, declaring a pointer to an int is also trivial: int *pN;We can interpret this second declaration in terms of 'evaluating' the '*' operator, which means "get the object that resides at the given address." So, in int *pN we are declaring that "the object that lies at the address "pN" is an int.
For functions, this is not so simple! Take a case of a function that takes an int as its (only) argument and returns an int value: int IFunc(int arg);. This is also very straightforward.
But how could we declare a pointer to such a function? We cannot simply apply the same logic as for the 'simple' types (by preceding with a * operator), like this:
int *pIFunc(int arg);
Because this would declare a function that takes an int arg and returns a pointer to an int.
So, the early implementors of the C language had to come up with something better - and completely unambiguous. So they decided to use the syntax of putting the "*NAME" section in parentheses, to isolate that 'dereference' operation from the function's definition:
int (*pIFunc)(int arg);
So, when faced with anything that looks remotely like this: < typename > (*Name1)(...); (where < typename > is any allowable C-type, like int, void, double, or even 'compound' types such as int*, and the "..." inside the second set of brackets can be either empty or a list of other 'types'), recognize it as a declaration of a function pointer (or as dereferencing a function pointer). To get the underlying function 'signature' (or invocation), just remove the first set of brackets and the contained *. So, for:
(*ptr_fun1)(20)
you can read:
ptr_fun1(20)
And, for:
void (*ptr_fun1)(int);
you can see that ptr_fun has the following signature:
void ptr_fun1(int);
I hope this makes things a bit clearer. Feel free to ask for further clarification and/or explanations.

Related

Return function in C [duplicate]

Normally, when declaring some variable, you put its type before it, like:
int a;
a function pointer may have type like: int(*)(int,int), in case we point to a function that takes two integers and returns an integer. But, when declaring such a pointer, its identifier is not after the type, like:
int(*)(int,int) mypointer;
instead, you must write the identifier in the middle:
int(*mypointer)(int,int);
why is this so?
I explain this in my answer to Why was the C syntax for arrays, pointers, and functions designed this way?, and it basically comes down to:
the language authors preferred to make the syntax variable-centric rather than type-centric. That is, they wanted a programmer to look at the declaration and think "if I write the expression *func(arg), that'll result in an int; if I write *arg[N] I'll have a float" rather than "func must be a pointer to a function taking this and returning that".
The C entry on Wikipedia claims that:
Ritchie's idea was to declare identifiers in contexts resembling their use: "declaration reflects use".
...citing p122 of K&R2.
This structure reflects how a normal function is declared (and used).
Consider a normal function definition:
int foo (int bar, int baz, int quux);
Now consider defining a function pointer to a function of the same signature:
int (*foo) (int, int, int);
Notice how the two structures mirror each other? That makes *foo much easier to identify as a function pointer rather than as something else.
If you're dealing with a function (not a pointer to one), the name is in the middle too. It goes like: return-type function-name "(" argument-list ")" .... For example, in int foo(int), int is the return type, foo the name and int the argument list.
A pointer to a function works pretty much the same way -- return type, then name, then argument list. In this case, we have to add a * to make it a pointer, and (since the * for a pointer is prefix) a pair of parentheses to bind the * to the name instead of the return type. For example, int *foo(int) would mean a function named foo that takes an int parameter and returns a pointer to an int. To get the * bound to foo instead, we need parentheses, giving int (*foo)(int).
This gets particularly ugly when you need an array of pointers to functions. In such a case, most people find it easiest to use a typedef for the pointer type, then create an array of that type:
typedef int (*fptr)(int);
fptr array[10];
I had seen at some places function pointers declared as
int (*foo) (int a, int b);
and at some places a and b are not mentioned and both still works.
so
int (*foo) (int, int)
is also correct.
A very simple way that I found to remember is as mentioned below:
Suppose function is declared as:
int function (int a , int b);
Step1: Simply put function in parentheses:
int (function) (int a , int b);
Step2: Place a * in front of function name and change the name:
int (*funcPntr) (int a , int b);
PS: I am not following proper coding guidelines for naming convention etc. in this answer.

The difference between "char* variable" and "char *variable" in C [duplicate]

Why do most C programmers name variables like this:
int *myVariable;
rather than like this:
int* myVariable;
Both are valid. It seems to me that the asterisk is a part of the type, not a part of the variable name. Can anyone explain this logic?
They are EXACTLY equivalent.
However, in
int *myVariable, myVariable2;
It seems obvious that myVariable has type int*, while myVariable2 has type int.
In
int* myVariable, myVariable2;
it may seem obvious that both are of type int*, but that is not correct as myVariable2 has type int.
Therefore, the first programming style is more intuitive.
If you look at it another way, *myVariable is of type int, which makes some sense.
Something nobody has mentioned here so far is that this asterisk is actually the "dereference operator" in C.
*a = 10;
The line above doesn't mean I want to assign 10 to a, it means I want to assign 10 to whatever memory location a points to. And I have never seen anyone writing
* a = 10;
have you? So the dereference operator is pretty much always written without a space. This is probably to distinguish it from a multiplication broken across multiple lines:
x = a * b * c * d
* e * f * g;
Here *e would be misleading, wouldn't it?
Okay, now what does the following line actually mean:
int *a;
Most people would say:
It means that a is a pointer to an int value.
This is technically correct, most people like to see/read it that way and that is the way how modern C standards would define it (note that language C itself predates all the ANSI and ISO standards). But it's not the only way to look at it. You can also read this line as follows:
The dereferenced value of a is of type int.
So in fact the asterisk in this declaration can also be seen as a dereference operator, which also explains its placement. And that a is a pointer is not really declared at all, it's implicit by the fact, that the only thing you can actually dereference is a pointer.
The C standard only defines two meanings to the * operator:
indirection operator
multiplication operator
And indirection is just a single meaning, there is no extra meaning for declaring a pointer, there is just indirection, which is what the dereference operation does, it performs an indirect access, so also within a statement like int *a; this is an indirect access (* means indirect access) and thus the second statement above is much closer to the standard than the first one is.
Because the * in that line binds more closely to the variable than to the type:
int* varA, varB; // This is misleading
As #Lundin points out below, const adds even more subtleties to think about. You can entirely sidestep this by declaring one variable per line, which is never ambiguous:
int* varA;
int varB;
The balance between clear code and concise code is hard to strike — a dozen redundant lines of int a; isn't good either. Still, I default to one declaration per line and worry about combining code later.
I'm going to go out on a limb here and say that there is a straight answer to this question, both for variable declarations and for parameter and return types, which is that the asterisk should go next to the name: int *myVariable;. To appreciate why, look at how you declare other types of symbol in C:
int my_function(int arg); for a function;
float my_array[3] for an array.
The general pattern, referred to as declaration follows use, is that the type of a symbol is split up into the part before the name, and the parts around the name, and these parts around the name mimic the syntax you would use to get a value of the type on the left:
int a_return_value = my_function(729);
float an_element = my_array[2];
and: int copy_of_value = *myVariable;.
C++ throws a spanner in the works with references, because the syntax at the point where you use references is identical to that of value types, so you could argue that C++ takes a different approach to C. On the other hand, C++ retains the same behaviour of C in the case of pointers, so references really stand as the odd one out in this respect.
A great guru once said "Read it the way of the compiler, you must."
http://www.drdobbs.com/conversationsa-midsummer-nights-madness/184403835
Granted this was on the topic of const placement, but the same rule applies here.
The compiler reads it as:
int (*a);
not as:
(int*) a;
If you get into the habit of placing the star next to the variable, it will make your declarations easier to read. It also avoids eyesores such as:
int* a[10];
-- Edit --
To explain exactly what I mean when I say it's parsed as int (*a), that means that * binds more tightly to a than it does to int, in very much the manner that in the expression 4 + 3 * 7 3 binds more tightly to 7 than it does to 4 due to the higher precedence of *.
With apologies for the ascii art, a synopsis of the A.S.T. for parsing int *a looks roughly like this:
Declaration
/ \
/ \
Declaration- Init-
Secifiers Declarator-
| List
| |
| ...
"int" |
Declarator
/ \
/ ...
Pointer \
| Identifier
| |
"*" |
"a"
As is clearly shown, * binds more tightly to a since their common ancestor is Declarator, while you need to go all the way up the tree to Declaration to find a common ancestor that involves the int.
That's just a matter of preference.
When you read the code, distinguishing between variables and pointers is easier in the second case, but it may lead to confusion when you are putting both variables and pointers of a common type in a single line (which itself is often discouraged by project guidelines, because decreases readability).
I prefer to declare pointers with their corresponding sign next to type name, e.g.
int* pMyPointer;
People who prefer int* x; are trying to force their code into a fictional world where the type is on the left and the identifier (name) is on the right.
I say "fictional" because:
In C and C++, in the general case, the declared identifier is surrounded by the type information.
That may sound crazy, but you know it to be true. Here are some examples:
int main(int argc, char *argv[]) means "main is a function that takes an int and an array of pointers to char and returns an int." In other words, most of the type information is on the right. Some people think function declarations don't count because they're somehow "special." OK, let's try a variable.
void (*fn)(int) means fn is a pointer to a function that takes an int and returns nothing.
int a[10] declares 'a' as an array of 10 ints.
pixel bitmap[height][width].
Clearly, I've cherry-picked examples that have a lot of type info on the right to make my point. There are lots of declarations where most--if not all--of the type is on the left, like struct { int x; int y; } center.
This declaration syntax grew out of K&R's desire to have declarations reflect the usage. Reading simple declarations is intuitive, and reading more complex ones can be mastered by learning the right-left-right rule (sometimes call the spiral rule or just the right-left rule).
C is simple enough that many C programmers embrace this style and write simple declarations as int *p.
In C++, the syntax got a little more complex (with classes, references, templates, enum classes), and, as a reaction to that complexity, you'll see more effort into separating the type from the identifier in many declarations. In other words, you might see see more of int* p-style declarations if you check out a large swath of C++ code.
In either language, you can always have the type on the left side of variable declarations by (1) never declaring multiple variables in the same statement, and (2) making use of typedefs (or alias declarations, which, ironically, put the alias identifiers to the left of types). For example:
typedef int array_of_10_ints[10];
array_of_10_ints a;
A lot of the arguments in this topic are plain subjective and the argument about "the star binds to the variable name" is naive. Here's a few arguments that aren't just opinions:
The forgotten pointer type qualifiers
Formally, the "star" neither belongs to the type nor to the variable name, it is part of its own grammatical item named pointer. The formal C syntax (ISO 9899:2018) is:
(6.7) declaration:
declaration-specifiers init-declarator-listopt ;
Where declaration-specifiers contains the type (and storage), and the init-declarator-list contains the pointer and the variable name. Which we see if we dissect this declarator list syntax further:
(6.7.6) declarator:
pointeropt direct-declarator
...
(6.7.6) pointer:
* type-qualifier-listopt
* type-qualifier-listopt pointer
Where a declarator is the whole declaration, a direct-declarator is the identifier (variable name), and a pointer is the star followed by an optional type qualifier list belonging to the pointer itself.
What makes the various style arguments about "the star belongs to the variable" inconsistent, is that they have forgotten about these pointer type qualifiers. int* const x, int *const x or int*const x?
Consider int *const a, b;, what are the types of a and b? Not so obvious that "the star belongs to the variable" any longer. Rather, one would start to ponder where the const belongs to.
You can definitely make a sound argument that the star belongs to the pointer type qualifier, but not much beyond that.
The type qualifier list for the pointer can cause problems for those using the int *a style. Those who use pointers inside a typedef (which we shouldn't, very bad practice!) and think "the star belongs to the variable name" tend to write this very subtle bug:
/*** bad code, don't do this ***/
typedef int *bad_idea_t;
...
void func (const bad_idea_t *foo);
This compiles cleanly. Now you might think the code is made const correct. Not so! This code is accidentally a faked const correctness.
The type of foo is actually int*const* - the outer most pointer was made read-only, not the pointed at data. So inside this function we can do **foo = n; and it will change the variable value in the caller.
This is because in the expression const bad_idea_t *foo, the * does not belong to the variable name here! In pseudo code, this parameter declaration is to be read as const (bad_idea_t *) foo and not as (const bad_idea_t) *foo. The star belongs to the hidden pointer type in this case - the type is a pointer and a const-qualified pointer is written as *const.
But then the root of the problem in the above example is the practice of hiding pointers behind a typedef and not the * style.
Regarding declaration of multiple variables on a single line
Declaring multiple variables on a single line is widely recognized as bad practice1). CERT-C sums it up nicely as:
DCL04-C. Do not declare more than one variable per declaration
Just reading the English, then common sense agrees that a declaration should be one declaration.
And it doesn't matter if the variables are pointers or not. Declaring each variable on a single line makes the code clearer in almost every case.
So the argument about the programmer getting confused over int* a, b is bad. The root of the problem is the use of multiple declarators, not the placement of the *. Regardless of style, you should be writing this instead:
int* a; // or int *a
int b;
Another sound but subjective argument would be that given int* a the type of a is without question int* and so the star belongs with the type qualifier.
But basically my conclusion is that many of the arguments posted here are just subjective and naive. You can't really make a valid argument for either style - it is truly a matter of subjective personal preference.
1) CERT-C DCL04-C.
Because it makes more sense when you have declarations like:
int *a, *b;
For declaring multiple pointers in one line, I prefer int* a, * b; which more intuitively declares "a" as a pointer to an integer, and doesn't mix styles when likewise declaring "b." Like someone said, I wouldn't declare two different types in the same statement anyway.
When you initialize and assign a variable in one statement, e.g.
int *a = xyz;
you assign the value of xyz to a, not to *a. This makes
int* a = xyz;
a more consistent notation.

What's the difference between (int *pointer) and (int* pointer) [duplicate]

Why do most C programmers name variables like this:
int *myVariable;
rather than like this:
int* myVariable;
Both are valid. It seems to me that the asterisk is a part of the type, not a part of the variable name. Can anyone explain this logic?
They are EXACTLY equivalent.
However, in
int *myVariable, myVariable2;
It seems obvious that myVariable has type int*, while myVariable2 has type int.
In
int* myVariable, myVariable2;
it may seem obvious that both are of type int*, but that is not correct as myVariable2 has type int.
Therefore, the first programming style is more intuitive.
If you look at it another way, *myVariable is of type int, which makes some sense.
Something nobody has mentioned here so far is that this asterisk is actually the "dereference operator" in C.
*a = 10;
The line above doesn't mean I want to assign 10 to a, it means I want to assign 10 to whatever memory location a points to. And I have never seen anyone writing
* a = 10;
have you? So the dereference operator is pretty much always written without a space. This is probably to distinguish it from a multiplication broken across multiple lines:
x = a * b * c * d
* e * f * g;
Here *e would be misleading, wouldn't it?
Okay, now what does the following line actually mean:
int *a;
Most people would say:
It means that a is a pointer to an int value.
This is technically correct, most people like to see/read it that way and that is the way how modern C standards would define it (note that language C itself predates all the ANSI and ISO standards). But it's not the only way to look at it. You can also read this line as follows:
The dereferenced value of a is of type int.
So in fact the asterisk in this declaration can also be seen as a dereference operator, which also explains its placement. And that a is a pointer is not really declared at all, it's implicit by the fact, that the only thing you can actually dereference is a pointer.
The C standard only defines two meanings to the * operator:
indirection operator
multiplication operator
And indirection is just a single meaning, there is no extra meaning for declaring a pointer, there is just indirection, which is what the dereference operation does, it performs an indirect access, so also within a statement like int *a; this is an indirect access (* means indirect access) and thus the second statement above is much closer to the standard than the first one is.
Because the * in that line binds more closely to the variable than to the type:
int* varA, varB; // This is misleading
As #Lundin points out below, const adds even more subtleties to think about. You can entirely sidestep this by declaring one variable per line, which is never ambiguous:
int* varA;
int varB;
The balance between clear code and concise code is hard to strike — a dozen redundant lines of int a; isn't good either. Still, I default to one declaration per line and worry about combining code later.
I'm going to go out on a limb here and say that there is a straight answer to this question, both for variable declarations and for parameter and return types, which is that the asterisk should go next to the name: int *myVariable;. To appreciate why, look at how you declare other types of symbol in C:
int my_function(int arg); for a function;
float my_array[3] for an array.
The general pattern, referred to as declaration follows use, is that the type of a symbol is split up into the part before the name, and the parts around the name, and these parts around the name mimic the syntax you would use to get a value of the type on the left:
int a_return_value = my_function(729);
float an_element = my_array[2];
and: int copy_of_value = *myVariable;.
C++ throws a spanner in the works with references, because the syntax at the point where you use references is identical to that of value types, so you could argue that C++ takes a different approach to C. On the other hand, C++ retains the same behaviour of C in the case of pointers, so references really stand as the odd one out in this respect.
A great guru once said "Read it the way of the compiler, you must."
http://www.drdobbs.com/conversationsa-midsummer-nights-madness/184403835
Granted this was on the topic of const placement, but the same rule applies here.
The compiler reads it as:
int (*a);
not as:
(int*) a;
If you get into the habit of placing the star next to the variable, it will make your declarations easier to read. It also avoids eyesores such as:
int* a[10];
-- Edit --
To explain exactly what I mean when I say it's parsed as int (*a), that means that * binds more tightly to a than it does to int, in very much the manner that in the expression 4 + 3 * 7 3 binds more tightly to 7 than it does to 4 due to the higher precedence of *.
With apologies for the ascii art, a synopsis of the A.S.T. for parsing int *a looks roughly like this:
Declaration
/ \
/ \
Declaration- Init-
Secifiers Declarator-
| List
| |
| ...
"int" |
Declarator
/ \
/ ...
Pointer \
| Identifier
| |
"*" |
"a"
As is clearly shown, * binds more tightly to a since their common ancestor is Declarator, while you need to go all the way up the tree to Declaration to find a common ancestor that involves the int.
That's just a matter of preference.
When you read the code, distinguishing between variables and pointers is easier in the second case, but it may lead to confusion when you are putting both variables and pointers of a common type in a single line (which itself is often discouraged by project guidelines, because decreases readability).
I prefer to declare pointers with their corresponding sign next to type name, e.g.
int* pMyPointer;
People who prefer int* x; are trying to force their code into a fictional world where the type is on the left and the identifier (name) is on the right.
I say "fictional" because:
In C and C++, in the general case, the declared identifier is surrounded by the type information.
That may sound crazy, but you know it to be true. Here are some examples:
int main(int argc, char *argv[]) means "main is a function that takes an int and an array of pointers to char and returns an int." In other words, most of the type information is on the right. Some people think function declarations don't count because they're somehow "special." OK, let's try a variable.
void (*fn)(int) means fn is a pointer to a function that takes an int and returns nothing.
int a[10] declares 'a' as an array of 10 ints.
pixel bitmap[height][width].
Clearly, I've cherry-picked examples that have a lot of type info on the right to make my point. There are lots of declarations where most--if not all--of the type is on the left, like struct { int x; int y; } center.
This declaration syntax grew out of K&R's desire to have declarations reflect the usage. Reading simple declarations is intuitive, and reading more complex ones can be mastered by learning the right-left-right rule (sometimes call the spiral rule or just the right-left rule).
C is simple enough that many C programmers embrace this style and write simple declarations as int *p.
In C++, the syntax got a little more complex (with classes, references, templates, enum classes), and, as a reaction to that complexity, you'll see more effort into separating the type from the identifier in many declarations. In other words, you might see see more of int* p-style declarations if you check out a large swath of C++ code.
In either language, you can always have the type on the left side of variable declarations by (1) never declaring multiple variables in the same statement, and (2) making use of typedefs (or alias declarations, which, ironically, put the alias identifiers to the left of types). For example:
typedef int array_of_10_ints[10];
array_of_10_ints a;
A lot of the arguments in this topic are plain subjective and the argument about "the star binds to the variable name" is naive. Here's a few arguments that aren't just opinions:
The forgotten pointer type qualifiers
Formally, the "star" neither belongs to the type nor to the variable name, it is part of its own grammatical item named pointer. The formal C syntax (ISO 9899:2018) is:
(6.7) declaration:
declaration-specifiers init-declarator-listopt ;
Where declaration-specifiers contains the type (and storage), and the init-declarator-list contains the pointer and the variable name. Which we see if we dissect this declarator list syntax further:
(6.7.6) declarator:
pointeropt direct-declarator
...
(6.7.6) pointer:
* type-qualifier-listopt
* type-qualifier-listopt pointer
Where a declarator is the whole declaration, a direct-declarator is the identifier (variable name), and a pointer is the star followed by an optional type qualifier list belonging to the pointer itself.
What makes the various style arguments about "the star belongs to the variable" inconsistent, is that they have forgotten about these pointer type qualifiers. int* const x, int *const x or int*const x?
Consider int *const a, b;, what are the types of a and b? Not so obvious that "the star belongs to the variable" any longer. Rather, one would start to ponder where the const belongs to.
You can definitely make a sound argument that the star belongs to the pointer type qualifier, but not much beyond that.
The type qualifier list for the pointer can cause problems for those using the int *a style. Those who use pointers inside a typedef (which we shouldn't, very bad practice!) and think "the star belongs to the variable name" tend to write this very subtle bug:
/*** bad code, don't do this ***/
typedef int *bad_idea_t;
...
void func (const bad_idea_t *foo);
This compiles cleanly. Now you might think the code is made const correct. Not so! This code is accidentally a faked const correctness.
The type of foo is actually int*const* - the outer most pointer was made read-only, not the pointed at data. So inside this function we can do **foo = n; and it will change the variable value in the caller.
This is because in the expression const bad_idea_t *foo, the * does not belong to the variable name here! In pseudo code, this parameter declaration is to be read as const (bad_idea_t *) foo and not as (const bad_idea_t) *foo. The star belongs to the hidden pointer type in this case - the type is a pointer and a const-qualified pointer is written as *const.
But then the root of the problem in the above example is the practice of hiding pointers behind a typedef and not the * style.
Regarding declaration of multiple variables on a single line
Declaring multiple variables on a single line is widely recognized as bad practice1). CERT-C sums it up nicely as:
DCL04-C. Do not declare more than one variable per declaration
Just reading the English, then common sense agrees that a declaration should be one declaration.
And it doesn't matter if the variables are pointers or not. Declaring each variable on a single line makes the code clearer in almost every case.
So the argument about the programmer getting confused over int* a, b is bad. The root of the problem is the use of multiple declarators, not the placement of the *. Regardless of style, you should be writing this instead:
int* a; // or int *a
int b;
Another sound but subjective argument would be that given int* a the type of a is without question int* and so the star belongs with the type qualifier.
But basically my conclusion is that many of the arguments posted here are just subjective and naive. You can't really make a valid argument for either style - it is truly a matter of subjective personal preference.
1) CERT-C DCL04-C.
Because it makes more sense when you have declarations like:
int *a, *b;
For declaring multiple pointers in one line, I prefer int* a, * b; which more intuitively declares "a" as a pointer to an integer, and doesn't mix styles when likewise declaring "b." Like someone said, I wouldn't declare two different types in the same statement anyway.
When you initialize and assign a variable in one statement, e.g.
int *a = xyz;
you assign the value of xyz to a, not to *a. This makes
int* a = xyz;
a more consistent notation.

About a declaration of function pointer

I'm thinking about the difference between:
void *signal(int, void (*)(int))(int)
and
void (*signal(int, void (*)(int)))(int)
I know the latter is from here - Example #3: The ``Ultimate'' (it's a hilarious learning experience when I was trying speak out loud to understand it):
signal is a function takes (int, void (*)(int)) as input and returns a pointer to another function that takes (int) and returns void.
For the former I'm thinking that since the last (int) will have higher precedence than * so it should be a syntax error, but from cdecl.org the result is:
["] declare signal as function (int, pointer to function (int) returning void) returning function (int) returning pointer to void [."]
So I need a check.
One has to differentiate between grammar and semantics. cdecl.org only gives you the grammatical meaning of whatever declarator you type into it. In your first example, you have indeed a grammatically correct declaration of signal as a function returning a function. However, C does not allow functions to return other functions:
N1570 6.7.6.3 §1:
A function declarator shall not specify a return type that is a function type or an array type.
So while this declaration is grammatically correct, it is semantically invalid. In other words: While the C syntax makes it possible to write "function returning a function", you're not allowed to actually have a function that returns a function in a program. Just like the English language (or any language for that matter) also allows you to express all sorts of thoughts that would physically be impossible to carry out…
The most important part here is... you don't need to learn this, it is a very poorly designed part of the language. You can scroll down to the bottom of the answer to find the sane, professional solution.
Otherwise, if you insist, it goes like this...
When trying to return a function pointer from a function, the type of the function pointer gets split up. If you want to return a function pointer void(*)(void), then this poor function pointer gets split up in 3 parts. Lets call them like this:
void is A, the return type of the pointed-at function.
(*) is B, marking this a pointer to function, rather than a function.
(void) is C, the parameters of the pointed-at function.
Then if we want to stick this as a return type into some other icky function declaration, they end up like this:
#define A void
#define B *
#define C (void)
// A (B) C equals void(*)(void)
A (B madness(int, void (*fp)(int))) C;
where A, B and C are the parts of our poor function pointer to be returned, madness is the name of the function, and the rest is some mess used as parameters by the function itself.
If we omit the B part, it will be interpreted like a function returning another function of type void f (void); which isn't valid. The syntax allows it but not the language specification.
Similarly, int foo (void) [3]; - a function returning an array, is not allowed either.
Pondering these things is the road to madness and it makes the code unreadable. Professional programmers use typedef.
Given
void (*madness(int, void (*f)(int)))(int);
replace it with:
typedef void func_t (int);
func_t* sanity (int, func_t* f);

How to declare function return type `int (*)[3]`?

int (*)[3] foo (); doesn't work.
How to declare function return pointer to array of 3?
It might not be useful, but I want to know if it's possible.
First, I agree with the other answers that you probably need a typedef or a struct in there to clarify.
If you want to know how to declare the return type, it's
int (*foo(void))[3] {
In the "declaration reflects use" pattern, you can build this up by considering the usage, i.e. how to get from foo's type to the plain type int:
take foo
call it (with no arguments): foo()
dereference the return value: *foo()
add an array index: (*foo())[i]; the parentheses are needed because the postfix syntax would otherwise take precedence over prefix one.
the result is of plain type int
Declaration reflects it:
take foo
call it: foo(void), inserting void to say it's specifically a 0-param function rather than one with an unspecified set of parameters
dereference the function return value: *foo(void)
add an array index: (*foo(void))[3], making the "index" be the size of the array
we got down to the plain type, so declare that the thing you built has that type: int (*foo(void))[3]
Example code:
#include <stdio.h>
int arr[3];
int (*foo(void))[3] {
return &arr;
}
int main (void) {
arr[0] = 413;
arr[1] = 612;
arr[2] = 1025;
printf("%d %d %d\n", (*(foo()))[0], (*(foo()))[1], (*(foo()))[2]);
return 0;
}
Side note: be sure that the array you are returning a pointer to will continue to exist after the function returns.
I'd advise against doing this.
It's often done as a poor workaround for the apparent limitation that C has of not being able to have an array as a return value.
Too often, a dangling pointer will be returned since the programmer will return a pointer to an array in the function that has automatic storage duration. Then this gets hacked to a static which ruins the threading model and breaks all previous returned pointers!
Only slightly better is returning a pointer given to you by a malloc call internal to the function. But then, that burdens (asymmetrically) the caller with having to call free at some point. Eventually your function winds up in some kind of precompiled library which uses a different C runtime to a client. Your malloc and their free no longer match, and you end up with a truck load of undefined behaviour!
Instead of all this, do consider passing the array by pointer on the function parameter list, preferably pre-allocating the memory.
One way is:
typedef int Int_array_3[3];
Int_array_3 * foo(void);
As a rule of thumb, avoid functions passing/returning raw array pointers or function pointers, because such code is a nightmare both to program and read. In this case it would have been
int (*func()) [3]
which is completely unreadable. Just forget about writing such code. Instead, use a typedef to define an array type:
typedef int iarr3_t [3];
And then write a function returning a pointer to such an array:
iarr3_t* func (void);
However, as indicated by other comments and answers, returning an array pointer is usually quite questionable practice to begin with. The need to do so could be an indication of poor program design.

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