Why Loops with one basic instruction works in O(1) [duplicate] - c++

As the title says:
What exactly is the "as-if" rule?
A typical answer one would get is:
The rule that allows any and all code transformations that do not change the observable behavior of the program
From time to time, we keep getting behaviors from certain implementations, which are attributed to this rule. Many times wrongly.
So, what exactly is this rule? The standard does not clearly mention this rule as a section or paragraph, so what exactly falls under the purview of this rule?
To me, it seems like a grey area which is not defined in detail by the standard. Can someone elaborate on the details, citing the references from the standard?
Note: Tagging this as C and C++ both, because it is relevant to both languages.

What is the "as-if" rule?
The "as-if" rule basically defines what transformations an implementation is allowed to perform on a legal C++ program. In short, all transformations that do not affect a program's "observable behavior" (see below for a precise definition) are allowed.
The goal is to give implementations freedom to perform optimizations as long as the behavior of the program remains compliant with the semantics specified by the C++ Standard in terms of an abstract machine.
Where does the Standard introduce this rule?
The C++11 Standard introduces the "as-if" rule in Paragraph 1.9/1:
The semantic descriptions in this International Standard define a parameterized nondeterministic abstract
machine. This International Standard places no requirement on the structure of conforming implementations.
In particular, they need not copy or emulate the structure of the abstract machine. Rather, conforming
implementations are required to emulate (only) the observable behavior of the abstract machine as explained
below.
Also, an explanatory footnote adds:
This provision is sometimes called the “as-if” rule, because an implementation is free to disregard any requirement of this
International Standard as long as the result is as if the requirement had been obeyed, as far as can be determined from the
observable behavior of the program. For instance, an actual implementation need not evaluate part of an expression if it can
deduce that its value is not used and that no side effects affecting the observable behavior of the program are produced.
What does the rule mandate exactly?
Paragraph 1.9/5 further specifies:
A conforming implementation executing a well-formed program shall produce the same observable behavior
as one of the possible executions of the corresponding instance of the abstract machine with the same program
and the same input. However, if any such execution contains an undefined operation, this International
Standard places no requirement on the implementation executing that program with that input (not even
with regard to operations preceding the first undefined operation).
It is worth stressing that this constraint applies when "executing a well-formed program" only, and that the possible outcomes of executing a program which contains undefined behavior are unconstrained. This is made explicit in Paragraph 1.9/4 as well:
Certain other operations are described in this International Standard as undefined (for example, the effect
of attempting to modify a const object). [ Note: This International Standard imposes no requirements on
the behavior of programs that contain undefined behavior. —end note ]
Finally, concerning the definition of "observable behavior", Paragraph 1.9/8 goes as follows:
The least requirements on a conforming implementation are:
— Access to volatile objects are evaluated strictly according to the rules of the abstract machine.
— At program termination, all data written into files shall be identical to one of the possible results that
execution of the program according to the abstract semantics would have produced.
— The input and output dynamics of interactive devices shall take place in such a fashion that prompting
output is actually delivered before a program waits for input. What constitutes an interactive device
is implementation-defined.
These collectively are referred to as the observable behavior of the program. [ Note: More stringent
correspondences between abstract and actual semantics may be defined by each implementation. —end
note ]
Are there situations where this rule does not apply?
To the best of my knowledge, the only exception to the "as-if" rule is copy/move elision, which is allowed even though the copy constructor, move constructor, or destructor of a class have side effects. The exact conditions for this are specified in Paragraph 12.8/31:
When certain criteria are met, an implementation is allowed to omit the copy/move construction of a class
object, even if the constructor selected for the copy/move operation and/or the destructor for the object
have side effects. [...]

In C11 the rule is never called by that name. However C, just like C++, defines the behaviour in terms of abstract machine. The as-if rule is in C11 5.1.2.3p4 and p6:
In the abstract machine, all expressions are evaluated as specified by the semantics. An actual implementation need not evaluate part of an expression if it can deduce that its value is not used and that no needed side effects are produced (including any caused by calling a function or accessing a volatile object).
[...]
The least requirements on a conforming implementation are:
Accesses to volatile objects are evaluated strictly according to the rules of the abstract machine.
At program termination, all data written into files shall be identical to the result that execution of the program according to the abstract semantics would have produced.
The input and output dynamics of interactive devices shall take
place as specified in 7.21.3. The intent of these requirements is that unbuffered or line-buffered output appear as soon as possible, to ensure that prompting messages actually appear prior to a program waiting for input.
 
This is the observable behavior of the program.

In C, C++, Ada, Java, SML... in any programming language well specified by describing the (usually many possible, non-deterministic) behavior(s) of a program (exposed to series of interactions on I/O ports), there is no distinct as-if rule.
An example of distinct rule is the one that says that a division by zero raises an exception (Ada, Caml) or a null dereference raises an exception (Java). You could change the rule to specify something else and you would end up with a different language (that some people would rather call a "dialect"(*). A distinct rule is there to specify some distinct uses of a programming language like a distinct grammatical rule cover some syntax constructs.
(*) A dialect according to some linguists is a language with an "army". in that context, that could mean a programming language without a committee and a specific industry of compiler editors.
The as-if rule is not a distinct rule; it doesn't cover any program in particular and is not even a rule that could be discussed, removed, or altered in any way: the so called "rule" simply reiterates that program semantics is defined, and can only be portably (universally) defined, in term of the visible interactions of an execution of the program with the "external" world.
The external world can be I/O interfaces (stdio), a GUI, even an interactive interpreter that output the resulting value of a pure applicative language. In C and C++ is includes the (vaguely specified) accesses to volatile objects, which is another way of saying that some objects at given point must be represented in memory strictly according to the ABI (Application Binary Interface) without ever mentioning the ABI explicitly.
The definition of what is a trace of execution, also called the visible or observable behavior defines what is meant by "as-if rule". The as-if rule tries to explain it, but by doing so, it confuses people more than it clarifies things as it gives the expression of being an additional semantic rule giving more leeway to the implementation.
Summary:
The so called "as-if rule" does not relax any constraints on implementations.
You cannot remove the as-if rule in any programming language specified in term of visible behavior (execution traces composed for interaction with the external world) to get a distinct dialect.
You cannot add the as-if rule to any programming language not specified in term of visible behavior.

Related

Is a program where undefined behavior (UB) is conditional on implementation leeway a program with unconditional UB?

In the answer to
Is it valid to create closure (lambda) objects using `std::bit_cast` in C++20?
it was shown that a program could have undefined behavior "depending on" (des Pudels Kern in this question) how an implementation used implementation leeway given by the standard. As an example, [expr.prim.lambda.closure]/2:
The closure type is declared in the smallest block scope, class scope,
or namespace scope that contains the corresponding lambda-expression. [...]
The closure type is not an aggregate type. An
implementation may define the closure type differently from what is
described below provided this does not alter the observable behavior
of the program other than by changing:
(2.1) the size and/or alignment of the closure type,
(2.2) whether the closure type is trivially copyable ([class.prop]), or
(2.3) whether the closure type is a standard-layout class ([class.prop]). [...]
It was pointed out in a comment to the answer that this scenario is not implementation-defined behavior
"implementation-defined" has a very specific meaning ([intro.abstract]/2); this isn't a case of that.
Would a program which had undefined behavior (UB) conditionally on such implementation leeway, have unconditional UB, possibly as per [intro.abstract]/5? Or how would such a program be described, in standardese terms?
Assuming I understand the question correctly, here is a simpler example:
void* storage = ::operator new(100);
new (storage) std::string;
In some language implementation, where the string fits in the memory, the behaviour of this example program would be defined. But the standard does not provide a guarantee that any language implementation satisfies that assumption and in language implementation where the assumption doesn't hold, the behaviour is undefined.
The behaviour is undefined conditionally, depending on the language implementation. Same applies to the more subtle example described in the question.
It's not "implementation defined" behaviour because the standard doesn't say that it's "implementation defined" using those quoted words. If standard did say that, it would imply that language implementation must document that behaviour. As it is, there is no requirement to document whether closure type is trivially copyable.
To avoid this phrase with special meaning, we can use alternatives such as "implementation dependent" or "unspecified" to describe the situation instead.
If you wish to write programs that are portable to any language implementation of the current standard, including one's that exist in the future whose implementation you cannot know at the moment, you should not unconditionally rely on such implementation details.
You could use a type trait to observe whether the closure is trivially copyable, and conditionally use std::bit_cast only when it is well formed and well defined - if you have a good reason to do so.
Neither the C nor C++ Standard was written to fully describe all situations where implementations for various platforms and purposes should or should not be expected to process programs meaningfully. The term "implementation defined" is used only in situations where all implementations would be required to specify a behavior which, at least for code running on a single thread, would be consistent with sequential program execution. Even if most implementations should process a construct identically, the Standards will still use the term "Undefined Behavior" if there might be some implementations where it would be impractical to specify and implement a behavior that would always be predictable and consistent with sequential program execution. This among other things applies to constructs that could trap with side effects not anticipated by the Standard. For example, given something like:
float x,y; // Assume at least one might not get written before the following:
float temp= x*y;
if (func1())
func2(temp);
if no further use is made of temp, an implementation might sensibly defer the multiplication across the function call. If an attempt to multiply an invalid float value might trap, however, the effect of such deferral might be observable. Because implementations that can offer useful useful behavioral guarantees in cases not mandated by the Standard are always free to do so whether or not the Standard would require such behavior, the question of whether to mandate the behavior was only expected to be relevant in cases where it would be impractical implementations to process it meaningfully.

Creating files vs compiler optimizations [duplicate]

As the title says:
What exactly is the "as-if" rule?
A typical answer one would get is:
The rule that allows any and all code transformations that do not change the observable behavior of the program
From time to time, we keep getting behaviors from certain implementations, which are attributed to this rule. Many times wrongly.
So, what exactly is this rule? The standard does not clearly mention this rule as a section or paragraph, so what exactly falls under the purview of this rule?
To me, it seems like a grey area which is not defined in detail by the standard. Can someone elaborate on the details, citing the references from the standard?
Note: Tagging this as C and C++ both, because it is relevant to both languages.
What is the "as-if" rule?
The "as-if" rule basically defines what transformations an implementation is allowed to perform on a legal C++ program. In short, all transformations that do not affect a program's "observable behavior" (see below for a precise definition) are allowed.
The goal is to give implementations freedom to perform optimizations as long as the behavior of the program remains compliant with the semantics specified by the C++ Standard in terms of an abstract machine.
Where does the Standard introduce this rule?
The C++11 Standard introduces the "as-if" rule in Paragraph 1.9/1:
The semantic descriptions in this International Standard define a parameterized nondeterministic abstract
machine. This International Standard places no requirement on the structure of conforming implementations.
In particular, they need not copy or emulate the structure of the abstract machine. Rather, conforming
implementations are required to emulate (only) the observable behavior of the abstract machine as explained
below.
Also, an explanatory footnote adds:
This provision is sometimes called the “as-if” rule, because an implementation is free to disregard any requirement of this
International Standard as long as the result is as if the requirement had been obeyed, as far as can be determined from the
observable behavior of the program. For instance, an actual implementation need not evaluate part of an expression if it can
deduce that its value is not used and that no side effects affecting the observable behavior of the program are produced.
What does the rule mandate exactly?
Paragraph 1.9/5 further specifies:
A conforming implementation executing a well-formed program shall produce the same observable behavior
as one of the possible executions of the corresponding instance of the abstract machine with the same program
and the same input. However, if any such execution contains an undefined operation, this International
Standard places no requirement on the implementation executing that program with that input (not even
with regard to operations preceding the first undefined operation).
It is worth stressing that this constraint applies when "executing a well-formed program" only, and that the possible outcomes of executing a program which contains undefined behavior are unconstrained. This is made explicit in Paragraph 1.9/4 as well:
Certain other operations are described in this International Standard as undefined (for example, the effect
of attempting to modify a const object). [ Note: This International Standard imposes no requirements on
the behavior of programs that contain undefined behavior. —end note ]
Finally, concerning the definition of "observable behavior", Paragraph 1.9/8 goes as follows:
The least requirements on a conforming implementation are:
— Access to volatile objects are evaluated strictly according to the rules of the abstract machine.
— At program termination, all data written into files shall be identical to one of the possible results that
execution of the program according to the abstract semantics would have produced.
— The input and output dynamics of interactive devices shall take place in such a fashion that prompting
output is actually delivered before a program waits for input. What constitutes an interactive device
is implementation-defined.
These collectively are referred to as the observable behavior of the program. [ Note: More stringent
correspondences between abstract and actual semantics may be defined by each implementation. —end
note ]
Are there situations where this rule does not apply?
To the best of my knowledge, the only exception to the "as-if" rule is copy/move elision, which is allowed even though the copy constructor, move constructor, or destructor of a class have side effects. The exact conditions for this are specified in Paragraph 12.8/31:
When certain criteria are met, an implementation is allowed to omit the copy/move construction of a class
object, even if the constructor selected for the copy/move operation and/or the destructor for the object
have side effects. [...]
In C11 the rule is never called by that name. However C, just like C++, defines the behaviour in terms of abstract machine. The as-if rule is in C11 5.1.2.3p4 and p6:
In the abstract machine, all expressions are evaluated as specified by the semantics. An actual implementation need not evaluate part of an expression if it can deduce that its value is not used and that no needed side effects are produced (including any caused by calling a function or accessing a volatile object).
[...]
The least requirements on a conforming implementation are:
Accesses to volatile objects are evaluated strictly according to the rules of the abstract machine.
At program termination, all data written into files shall be identical to the result that execution of the program according to the abstract semantics would have produced.
The input and output dynamics of interactive devices shall take
place as specified in 7.21.3. The intent of these requirements is that unbuffered or line-buffered output appear as soon as possible, to ensure that prompting messages actually appear prior to a program waiting for input.
 
This is the observable behavior of the program.
In C, C++, Ada, Java, SML... in any programming language well specified by describing the (usually many possible, non-deterministic) behavior(s) of a program (exposed to series of interactions on I/O ports), there is no distinct as-if rule.
An example of distinct rule is the one that says that a division by zero raises an exception (Ada, Caml) or a null dereference raises an exception (Java). You could change the rule to specify something else and you would end up with a different language (that some people would rather call a "dialect"(*). A distinct rule is there to specify some distinct uses of a programming language like a distinct grammatical rule cover some syntax constructs.
(*) A dialect according to some linguists is a language with an "army". in that context, that could mean a programming language without a committee and a specific industry of compiler editors.
The as-if rule is not a distinct rule; it doesn't cover any program in particular and is not even a rule that could be discussed, removed, or altered in any way: the so called "rule" simply reiterates that program semantics is defined, and can only be portably (universally) defined, in term of the visible interactions of an execution of the program with the "external" world.
The external world can be I/O interfaces (stdio), a GUI, even an interactive interpreter that output the resulting value of a pure applicative language. In C and C++ is includes the (vaguely specified) accesses to volatile objects, which is another way of saying that some objects at given point must be represented in memory strictly according to the ABI (Application Binary Interface) without ever mentioning the ABI explicitly.
The definition of what is a trace of execution, also called the visible or observable behavior defines what is meant by "as-if rule". The as-if rule tries to explain it, but by doing so, it confuses people more than it clarifies things as it gives the expression of being an additional semantic rule giving more leeway to the implementation.
Summary:
The so called "as-if rule" does not relax any constraints on implementations.
You cannot remove the as-if rule in any programming language specified in term of visible behavior (execution traces composed for interaction with the external world) to get a distinct dialect.
You cannot add the as-if rule to any programming language not specified in term of visible behavior.

Is it legal for the compiler to degrade the time complexity of a program? Is this considered observable behavior?

(Note: This is intended to be a language-lawyer question; I'm not referring to any particular existing compilers.)
When, if ever, is the compiler allowed to degrade the time complexity of a program?
Under what circumstances (if any) is this considered "observable behavior", and why?
(For example, can the compiler legally "reduce" a polynomial-time program to an exponential-time one?)
If the answer differs in C and C++, or in different versions of either, then please explain the differences.
The C standard doesn't actually have a time complexity model, neither for its primitive operations, nor its library functions, so compilers are allowed to do pretty much anything that preserves program semantics (observable behavior).
The C++ standard only gives complexity guarantees only for some its library functions, and says (17.5.1.4 [structure.specifications]):
Complexity requirements specified in the library clauses are upper bounds, and implementations that provide better complexity guarantees satisfy the requirements.
A compiler better preserve these bounds (and since many of the functions are templated/may be inlined, the compiler is involved), but the bounds are in terms of the number of elements in containers and restrict the number of calls to comparison operators and the like. Otherwise, the compiler is again free to do as it pleases.
Performance of the code is not considered observable behavior and could potentially be modified by the compiler in either direction. In practical terms, for quality of implementation (QoI) reasons compilers don't degrade your programs, but there are cases where QoI is not performance.
A compiler, given the appropriate flags, could add instrumentation to the program it is building for debugging purposes (this is often the case in library implementations, for example with checked iterators).
Note that the simple answer to when the compiler would degrade your program is twofold: when the client asks for it, or when the implementor doesn't want to have users for the compiler.
5.1.2.3 in the C standard says
The semantic descriptions in this International Standard describe the behavior of an
abstract machine in which issues of optimization are irrelevant.
The C++ standard has similar wording in 1.9 [intro.execution]
Both standards have the same definition of observable behaviour:
The least requirements on a conforming implementation are:
— Accesses to volatile objects are evaluated strictly according to the rules of the abstract
machine.
— At program termination, all data written into files shall be identical to the result that
execution of the program according to the abstract semantics would have produced.
— The input and output dynamics of interactive devices shall take place as specified in
7.21.3. The intent of these requirements is that unbuffered or line-buffered output
appear as soon as possible, to ensure that prompting messages actually appear prior to
a program waiting for input.
This is the observable behavior of the program.
So anything else, e.g. performance of a for loop, or the number of reads/writes done for non-volatile variables, is not considered observable and so there are no corresponding performance requirements on the compiler.
If the compiler wanted to re-evaluate a block of code 100 times (assuming it had no observable side-effects, only altering the state of non-volatile variables) and check that the same results were obtained every time (and not affected by cosmic rays or faulty hardware) that would be allowed by the standard.
Others have pointed out that the standard doesn't constrain how the C runtime works, only its observable behaviour. There is no reason why you can't have interpreted or JIT-compiled C, for example.
Consider a C implementation where all memory cells are stored in a linked list on some underlying system. Pointers are then an index into this linked list. All pointer operations would function as normal, except the runtime would have to iterate over the linked list on every memory access. All sorts of common algorithms would suddenly gain an extra factor of N in their complexity, for example the common null-terminated string operations.

What exactly is the "as-if" rule?

As the title says:
What exactly is the "as-if" rule?
A typical answer one would get is:
The rule that allows any and all code transformations that do not change the observable behavior of the program
From time to time, we keep getting behaviors from certain implementations, which are attributed to this rule. Many times wrongly.
So, what exactly is this rule? The standard does not clearly mention this rule as a section or paragraph, so what exactly falls under the purview of this rule?
To me, it seems like a grey area which is not defined in detail by the standard. Can someone elaborate on the details, citing the references from the standard?
Note: Tagging this as C and C++ both, because it is relevant to both languages.
What is the "as-if" rule?
The "as-if" rule basically defines what transformations an implementation is allowed to perform on a legal C++ program. In short, all transformations that do not affect a program's "observable behavior" (see below for a precise definition) are allowed.
The goal is to give implementations freedom to perform optimizations as long as the behavior of the program remains compliant with the semantics specified by the C++ Standard in terms of an abstract machine.
Where does the Standard introduce this rule?
The C++11 Standard introduces the "as-if" rule in Paragraph 1.9/1:
The semantic descriptions in this International Standard define a parameterized nondeterministic abstract
machine. This International Standard places no requirement on the structure of conforming implementations.
In particular, they need not copy or emulate the structure of the abstract machine. Rather, conforming
implementations are required to emulate (only) the observable behavior of the abstract machine as explained
below.
Also, an explanatory footnote adds:
This provision is sometimes called the “as-if” rule, because an implementation is free to disregard any requirement of this
International Standard as long as the result is as if the requirement had been obeyed, as far as can be determined from the
observable behavior of the program. For instance, an actual implementation need not evaluate part of an expression if it can
deduce that its value is not used and that no side effects affecting the observable behavior of the program are produced.
What does the rule mandate exactly?
Paragraph 1.9/5 further specifies:
A conforming implementation executing a well-formed program shall produce the same observable behavior
as one of the possible executions of the corresponding instance of the abstract machine with the same program
and the same input. However, if any such execution contains an undefined operation, this International
Standard places no requirement on the implementation executing that program with that input (not even
with regard to operations preceding the first undefined operation).
It is worth stressing that this constraint applies when "executing a well-formed program" only, and that the possible outcomes of executing a program which contains undefined behavior are unconstrained. This is made explicit in Paragraph 1.9/4 as well:
Certain other operations are described in this International Standard as undefined (for example, the effect
of attempting to modify a const object). [ Note: This International Standard imposes no requirements on
the behavior of programs that contain undefined behavior. —end note ]
Finally, concerning the definition of "observable behavior", Paragraph 1.9/8 goes as follows:
The least requirements on a conforming implementation are:
— Access to volatile objects are evaluated strictly according to the rules of the abstract machine.
— At program termination, all data written into files shall be identical to one of the possible results that
execution of the program according to the abstract semantics would have produced.
— The input and output dynamics of interactive devices shall take place in such a fashion that prompting
output is actually delivered before a program waits for input. What constitutes an interactive device
is implementation-defined.
These collectively are referred to as the observable behavior of the program. [ Note: More stringent
correspondences between abstract and actual semantics may be defined by each implementation. —end
note ]
Are there situations where this rule does not apply?
To the best of my knowledge, the only exception to the "as-if" rule is copy/move elision, which is allowed even though the copy constructor, move constructor, or destructor of a class have side effects. The exact conditions for this are specified in Paragraph 12.8/31:
When certain criteria are met, an implementation is allowed to omit the copy/move construction of a class
object, even if the constructor selected for the copy/move operation and/or the destructor for the object
have side effects. [...]
In C11 the rule is never called by that name. However C, just like C++, defines the behaviour in terms of abstract machine. The as-if rule is in C11 5.1.2.3p4 and p6:
In the abstract machine, all expressions are evaluated as specified by the semantics. An actual implementation need not evaluate part of an expression if it can deduce that its value is not used and that no needed side effects are produced (including any caused by calling a function or accessing a volatile object).
[...]
The least requirements on a conforming implementation are:
Accesses to volatile objects are evaluated strictly according to the rules of the abstract machine.
At program termination, all data written into files shall be identical to the result that execution of the program according to the abstract semantics would have produced.
The input and output dynamics of interactive devices shall take
place as specified in 7.21.3. The intent of these requirements is that unbuffered or line-buffered output appear as soon as possible, to ensure that prompting messages actually appear prior to a program waiting for input.
 
This is the observable behavior of the program.
In C, C++, Ada, Java, SML... in any programming language well specified by describing the (usually many possible, non-deterministic) behavior(s) of a program (exposed to series of interactions on I/O ports), there is no distinct as-if rule.
An example of distinct rule is the one that says that a division by zero raises an exception (Ada, Caml) or a null dereference raises an exception (Java). You could change the rule to specify something else and you would end up with a different language (that some people would rather call a "dialect"(*). A distinct rule is there to specify some distinct uses of a programming language like a distinct grammatical rule cover some syntax constructs.
(*) A dialect according to some linguists is a language with an "army". in that context, that could mean a programming language without a committee and a specific industry of compiler editors.
The as-if rule is not a distinct rule; it doesn't cover any program in particular and is not even a rule that could be discussed, removed, or altered in any way: the so called "rule" simply reiterates that program semantics is defined, and can only be portably (universally) defined, in term of the visible interactions of an execution of the program with the "external" world.
The external world can be I/O interfaces (stdio), a GUI, even an interactive interpreter that output the resulting value of a pure applicative language. In C and C++ is includes the (vaguely specified) accesses to volatile objects, which is another way of saying that some objects at given point must be represented in memory strictly according to the ABI (Application Binary Interface) without ever mentioning the ABI explicitly.
The definition of what is a trace of execution, also called the visible or observable behavior defines what is meant by "as-if rule". The as-if rule tries to explain it, but by doing so, it confuses people more than it clarifies things as it gives the expression of being an additional semantic rule giving more leeway to the implementation.
Summary:
The so called "as-if rule" does not relax any constraints on implementations.
You cannot remove the as-if rule in any programming language specified in term of visible behavior (execution traces composed for interaction with the external world) to get a distinct dialect.
You cannot add the as-if rule to any programming language not specified in term of visible behavior.

Do empty expressions evaluate to NOP?

Wondering if empty expressions evaluate to NOP or if it's compiler dependent.
// Trivial example
int main()
{
;;
}
It's compiler dependent but the observable behaviour must be that nothing happens. In practice, I'm sure most compilers will omit no code at all for an empty expression.
A conforming implementation executing a well-formed program shall produce the same observable behavior as one of the possible executions of the corresponding instance of the abstract machine with the same program and the same input.
And the observable behaviour is defined by:
The least requirements on a conforming implementation are:
Access to volatile objects are evaluated strictly according to the rules of the abstract machine.
At program termination, all data written into files shall be identical to one of the possible results that execution of the program according to the abstract semantics would have produced.
The input and output dynamics of interactive devices shall take place in such a fashion that prompting output is actually delivered before a program waits for input. What constitutes an interactive device is implementation-defined.
These collectively are referred to as the observable behavior of the program.
This is really the only requirement for an implementation. It is often known as the "as-if" rule - the compiler can do whatever it likes as long as the observable behaviour is as expected.
For what it's worth, these empty expressions are known as null statements:
An expression statement with the expression missing is called a null statement.
If you really want a NOP, you can try:
asm("nop");
This is, however, conditionally supported and its behaviour is implementation-defined.
or if it's compiler dependent.
It is compiler-dependent ("as-if rule"), but most reasonable optimizing compilers will just ignore empty statements for the sake of efficiency, and they generally won't emit NOP instructions.