Why do we need to mark functions as constexpr? - c++

C++11 allows functions declared with the constexpr specifier to be used in constant expressions such as template arguments. There are stringent requirements about what is allowed to be constexpr; essentially such a function encapsulates only one subexpression and nothing else. (Edit: this is relaxed in C++14 but the question stands.)
Why require the keyword at all? What is gained?
It does help in revealing the intent of an interface, but it doesn't validate that intent, by guaranteeing that a function is usable in constant expressions. After writing a constexpr function, a programmer must still:
Write a test case or otherwise ensure it's actually used in a constant expression.
Document what parameter values are valid in a constant expression context.
Contrary to revealing intent, decorating functions with constexpr may add a false sense of security since tangential syntactic constraints are checked while ignoring the central semantic constraint.
In short: Would there be any undesirable effect on the language if constexpr in function declarations were merely optional? Or would there be any effect at all on any valid program?

Preventing client code expecting more than you're promising
Say I'm writing a library and have a function in there that currently returns a constant:
awesome_lib.hpp:
inline int f() { return 4; }
If constexpr wasn't required, you - as the author of client code - might go away and do something like this:
client_app.cpp:
#include <awesome_lib.hpp>
#include <array>
std::array<int, f()> my_array; // needs CT template arg
int my_c_array[f()]; // needs CT array dimension
Then should I change f() to say return the value from a config file, your client code would break, but I'd have no idea that I'd risked breaking your code. Indeed, it might be only when you have some production issue and go to recompile that you find this additional issue frustrating your rebuilding.
By changing only the implementation of f(), I'd have effectively changed the usage that could be made of the interface.
Instead, C++11 onwards provide constexpr so I can denote that client code can have a reasonable expectation of the function remaining a constexpr, and use it as such. I'm aware of and endorsing such usage as part of my interface. Just as in C++03, the compiler continues to guarantee client code isn't built to depend on other non-constexpr functions to prevent the "unwanted/unknown dependency" scenario above; that's more than documentation - it's compile time enforcement.
It's noteworthy that this continues the C++ trend of offering better alternatives for traditional uses of preprocessor macros (consider #define F 4, and how the client programmer knows whether the lib programmer considers it fair game to change to say #define F config["f"]), with their well-known "evils" such as being outside the language's namespace/class scoping system.
Why isn't there a diagnostic for "obviously" never-const functions?
I think the confusion here is due to constexpr not proactively ensuring there is any set of arguments for which the result is actually compile-time const: rather, it requires the programmer to take responsibility for that (otherwise §7.1.5/5 in the Standard deems the program ill-formed but doesn't require the compiler to issue a diagnostic). Yes, that's unfortunate, but it doesn't remove the above utility of constexpr.
So, perhaps it's helpful to switch from the question "what's the point of constexpr" to consider "why can I compile a constexpr function that can never actually return a const value?".
Answer: because there'd be a need for exhaustive branch analysis that could involve any number of combinations. It could be excessively costly in compile time and/or memory - even beyond the capability of any imaginable hardware - to diagnose. Further, even when it is practical having to diagnose such cases accurately is a whole new can of worms for compiler writers (who have better uses for their time). There would also be implications for the program such as the definition of functions called from within the constexpr function needing to be visible when the validation was performed (and functions that function calls etc.).
Meanwhile, lack of constexpr continues to forbid use as a const value: the strictness is on the sans-constexpr side. That's useful as illustrated above.
Comparison with non-`const` member functions
constexpr prevents int x[f()] while lack of const prevents const X x; x.f(); - they're both ensuring client code doesn't hardcode unwanted dependency
in both cases, you wouldn't want the compiler to determine const[expr]-ness automatically:
you wouldn't want client code to call a member function on a const object when you can already anticipate that function will evolve to modify the observable value, breaking the client code
you wouldn't want a value used as a template parameter or array dimension if you already anticipated it later being determined at runtime
they differ in that the compiler enforces const use of other members within a const member function, but does not enforce a compile-time constant result with constexpr (due to practical compiler limitations)

When I pressed Richard Smith, a Clang author, he explained:
The constexpr keyword does have utility.
It affects when a function template specialization is instantiated (constexpr function template specializations may need to be instantiated if they're called in unevaluated contexts; the same is not true for non-constexpr functions since a call to one can never be part of a constant expression). If we removed the meaning of the keyword, we'd have to instantiate a bunch more specializations early, just in case the call happens to be a constant expression.
It reduces compilation time, by limiting the set of function calls that implementations are required to try evaluating during translation. (This matters for contexts where implementations are required to try constant expression evaluation, but it's not an error if such evaluation fails -- in particular, the initializers of objects of static storage duration.)
This all didn't seem convincing at first, but if you work through the details, things do unravel without constexpr. A function need not be instantiated until it is ODR-used, which essentially means used at runtime. What is special about constexpr functions is that they can violate this rule and require instantiation anyway.
Function instantiation is a recursive procedure. Instantiating a function results in instantiation of the functions and classes it uses, regardless of the arguments to any particular call.
If something went wrong while instantiating this dependency tree (potentially at significant expense), it would be difficult to swallow the error. Furthermore, class template instantiation can have runtime side-effects.
Given an argument-dependent compile-time function call in a function signature, overload resolution may incur instantiation of function definitions merely auxiliary to the ones in the overload set, including the functions that don't even get called. Such instantiations may have side effects including ill-formedness and runtime behavior.
It's a corner case to be sure, but bad things can happen if you don't require people to opt-in to constexpr functions.

We can live without constexpr, but in certain cases it makes the code easier and intuitive.
For example we have a class which declares an array with some reference length:
template<typename T, size_t SIZE>
struct MyArray
{
T a[SIZE];
};
Conventionally you might declare MyArray as:
int a1[100];
MyArray<decltype(*a1), sizeof(a1)/sizeof(decltype(a1[0]))> obj;
Now see how it goes with constexpr:
template<typename T, size_t SIZE>
constexpr
size_t getSize (const T (&a)[SIZE]) { return SIZE; }
int a1[100];
MyArray<decltype(*a1), getSize(a1)> obj;
In short, any function (e.g. getSize(a1)) can be used as template argument only if the compiler recognizes it as constexpr.
constexpr is also used to check the negative logic. It ensures that a given object is at compile time. Here is the reference link e.g.
int i = 5;
const int j = i; // ok, but `j` is not at compile time
constexprt int k = i; // error

Without the keyword, the compiler cannot diagnose mistakes. The compiler would not be able to tell you that the function is an invalid syntactically as aconstexpr. Although you said this provides a "false sense of security", I believe it is better to pick up these errors as early as possible.

Related

What is the use of a constexpr function in C++23?

The keyword constexpr enforced pretty tight restrictions on functions on its introduction into the C++11 standard. These restrictions were loosened with C++14 and C++20 (most noteworthy):
C++14 allowed multiple return statements, static_asserts etc.
C++20 allowed try and asm
C++23 further softens these restrictions. From what I can see in cppreference, constexpr for functions seems to only have the following meaning left:
it must not be a coroutine
for constructor and destructor, the class must have no virtual base classes
For constexpr function templates and constexpr member functions of class templates, at least one specialization must satisfy the abovementioned requirements.
C++23 even removed the restriction that a constexpr function must be "evaluatable" at compile time for any type in p2448r2. From my understanding this completely removed the idea of a constexpr function to be evaluated at compile time.
Is that it? If so, how is a constexpr function even useful anymore?
What you actually seem to ask is: why not make anything constexpr by default?
Because you might want others to not use a function at compile-time, to give you a possibility to switch to a non-constexpr implementation later.
Imagine this:
You see a library function, which you'd like to use at compile-time.
Let's say, size_t RequiredBufferSize();. If it happens to be constexpr, you can allocate the buffer on the stack, or something like that.
You're not sure if it's supposed to work at compile-time, because there's no constexpr in our imaginary language.
You try it, and it does work at compile-time. You start using it this way.
Let's say the implementation was {return 42;}, which is constexpr.
A new version of the library is released, the function no longer works at compile-time (e.g. the size is loaded from a config file).
You complain to the developer, and he argues that the function was never intended to work at compile-time, and you relied on an implementation detail.

Is constexpr really needed in c++ in general? [duplicate]

C++11 allows functions declared with the constexpr specifier to be used in constant expressions such as template arguments. There are stringent requirements about what is allowed to be constexpr; essentially such a function encapsulates only one subexpression and nothing else. (Edit: this is relaxed in C++14 but the question stands.)
Why require the keyword at all? What is gained?
It does help in revealing the intent of an interface, but it doesn't validate that intent, by guaranteeing that a function is usable in constant expressions. After writing a constexpr function, a programmer must still:
Write a test case or otherwise ensure it's actually used in a constant expression.
Document what parameter values are valid in a constant expression context.
Contrary to revealing intent, decorating functions with constexpr may add a false sense of security since tangential syntactic constraints are checked while ignoring the central semantic constraint.
In short: Would there be any undesirable effect on the language if constexpr in function declarations were merely optional? Or would there be any effect at all on any valid program?
Preventing client code expecting more than you're promising
Say I'm writing a library and have a function in there that currently returns a constant:
awesome_lib.hpp:
inline int f() { return 4; }
If constexpr wasn't required, you - as the author of client code - might go away and do something like this:
client_app.cpp:
#include <awesome_lib.hpp>
#include <array>
std::array<int, f()> my_array; // needs CT template arg
int my_c_array[f()]; // needs CT array dimension
Then should I change f() to say return the value from a config file, your client code would break, but I'd have no idea that I'd risked breaking your code. Indeed, it might be only when you have some production issue and go to recompile that you find this additional issue frustrating your rebuilding.
By changing only the implementation of f(), I'd have effectively changed the usage that could be made of the interface.
Instead, C++11 onwards provide constexpr so I can denote that client code can have a reasonable expectation of the function remaining a constexpr, and use it as such. I'm aware of and endorsing such usage as part of my interface. Just as in C++03, the compiler continues to guarantee client code isn't built to depend on other non-constexpr functions to prevent the "unwanted/unknown dependency" scenario above; that's more than documentation - it's compile time enforcement.
It's noteworthy that this continues the C++ trend of offering better alternatives for traditional uses of preprocessor macros (consider #define F 4, and how the client programmer knows whether the lib programmer considers it fair game to change to say #define F config["f"]), with their well-known "evils" such as being outside the language's namespace/class scoping system.
Why isn't there a diagnostic for "obviously" never-const functions?
I think the confusion here is due to constexpr not proactively ensuring there is any set of arguments for which the result is actually compile-time const: rather, it requires the programmer to take responsibility for that (otherwise §7.1.5/5 in the Standard deems the program ill-formed but doesn't require the compiler to issue a diagnostic). Yes, that's unfortunate, but it doesn't remove the above utility of constexpr.
So, perhaps it's helpful to switch from the question "what's the point of constexpr" to consider "why can I compile a constexpr function that can never actually return a const value?".
Answer: because there'd be a need for exhaustive branch analysis that could involve any number of combinations. It could be excessively costly in compile time and/or memory - even beyond the capability of any imaginable hardware - to diagnose. Further, even when it is practical having to diagnose such cases accurately is a whole new can of worms for compiler writers (who have better uses for their time). There would also be implications for the program such as the definition of functions called from within the constexpr function needing to be visible when the validation was performed (and functions that function calls etc.).
Meanwhile, lack of constexpr continues to forbid use as a const value: the strictness is on the sans-constexpr side. That's useful as illustrated above.
Comparison with non-`const` member functions
constexpr prevents int x[f()] while lack of const prevents const X x; x.f(); - they're both ensuring client code doesn't hardcode unwanted dependency
in both cases, you wouldn't want the compiler to determine const[expr]-ness automatically:
you wouldn't want client code to call a member function on a const object when you can already anticipate that function will evolve to modify the observable value, breaking the client code
you wouldn't want a value used as a template parameter or array dimension if you already anticipated it later being determined at runtime
they differ in that the compiler enforces const use of other members within a const member function, but does not enforce a compile-time constant result with constexpr (due to practical compiler limitations)
When I pressed Richard Smith, a Clang author, he explained:
The constexpr keyword does have utility.
It affects when a function template specialization is instantiated (constexpr function template specializations may need to be instantiated if they're called in unevaluated contexts; the same is not true for non-constexpr functions since a call to one can never be part of a constant expression). If we removed the meaning of the keyword, we'd have to instantiate a bunch more specializations early, just in case the call happens to be a constant expression.
It reduces compilation time, by limiting the set of function calls that implementations are required to try evaluating during translation. (This matters for contexts where implementations are required to try constant expression evaluation, but it's not an error if such evaluation fails -- in particular, the initializers of objects of static storage duration.)
This all didn't seem convincing at first, but if you work through the details, things do unravel without constexpr. A function need not be instantiated until it is ODR-used, which essentially means used at runtime. What is special about constexpr functions is that they can violate this rule and require instantiation anyway.
Function instantiation is a recursive procedure. Instantiating a function results in instantiation of the functions and classes it uses, regardless of the arguments to any particular call.
If something went wrong while instantiating this dependency tree (potentially at significant expense), it would be difficult to swallow the error. Furthermore, class template instantiation can have runtime side-effects.
Given an argument-dependent compile-time function call in a function signature, overload resolution may incur instantiation of function definitions merely auxiliary to the ones in the overload set, including the functions that don't even get called. Such instantiations may have side effects including ill-formedness and runtime behavior.
It's a corner case to be sure, but bad things can happen if you don't require people to opt-in to constexpr functions.
We can live without constexpr, but in certain cases it makes the code easier and intuitive.
For example we have a class which declares an array with some reference length:
template<typename T, size_t SIZE>
struct MyArray
{
T a[SIZE];
};
Conventionally you might declare MyArray as:
int a1[100];
MyArray<decltype(*a1), sizeof(a1)/sizeof(decltype(a1[0]))> obj;
Now see how it goes with constexpr:
template<typename T, size_t SIZE>
constexpr
size_t getSize (const T (&a)[SIZE]) { return SIZE; }
int a1[100];
MyArray<decltype(*a1), getSize(a1)> obj;
In short, any function (e.g. getSize(a1)) can be used as template argument only if the compiler recognizes it as constexpr.
constexpr is also used to check the negative logic. It ensures that a given object is at compile time. Here is the reference link e.g.
int i = 5;
const int j = i; // ok, but `j` is not at compile time
constexprt int k = i; // error
Without the keyword, the compiler cannot diagnose mistakes. The compiler would not be able to tell you that the function is an invalid syntactically as aconstexpr. Although you said this provides a "false sense of security", I believe it is better to pick up these errors as early as possible.

Can adding 'constexpr' change the behaviour?

Given two programs where the only difference in the source code is the presence or absence of one constexpr, is it possible that the meaning of the program changes?
In other words, if there was a compiler option to ask the compiler to try really hard to infer constexpr where possible, would it break existing standard code and/or change its meaning in bad ways?
Imagine dealing with a codebase where the original developer forgot to include constexpr in places where it was possible, perhaps code written before C++11. It would be great if the compiler would infer constexpr to help you get on with your work. Of course, perhaps it should also warn about each time it does this inference, encouraging you to explicitly add the constexpr later. But it would still be useful. My worry is that it might break things?
So far, the only thing I can think of is that constexpr functions are implicitly inline and there can be situations where adding inline can change things in bad ways; for example if you break the one-definition-rule.
There is an easy trick:
template<int n>struct i{};
int foo(int){return 0;}
constexpr int foo(char){return 'a';}
template<class T=int, T x=1,i<foo(x)>* =nullptr>
bool bar(){return true;}
template<class T=int, T x=1,class...Ts>
bool bar(Ts...){return false;}
if int foo(int) is constexpr, a different overload of bar is chosen by default.
With different code running, any behaviour change can occur.
live example (simply change which #define X is commented out).
Design of the example:
The char overload prevents the above code from being ill-formed, no diagnostic required, as all templates must have a valid specialization. foo<char> supplies that. In practice, its existence is not required: ADL could find a foo from far away, overloaded on a some_type*, then pass some_type* as T. Which means no compilation unit could prove the code was ill-formed.
The Ts... makes that bar overload less-preferred. So if the first one matches, there is no ambiguity. Only if the first one fails to match (due to a SFINAE caused by foo(x) not being constexpr) does the second overload get called (or if, say, someone passed arguments to it).
Given two programs where the only difference in the source code is the
presence or absence of one constexpr, is it possible that the meaning
of the program changes?
Yes, this is at least true for constexpr functions. It is the reason why implementations are not allowed to choose which standard functions are marked constexpr, the main issue is that users may observe different behaviors via SFINAE. This is documented in LWG issue 2013: Do library implementers have the freedom to add constexpr? which says (emphasis mine):
Some concern expressed when presented to full committee for the vote
to WP status that this issue had been resolved without sufficient
thought of the consequences for diverging library implementations,
as users may use SFINAE to observe different behavior from otherwise identical code. Issue moved back to Review status, and will be
discussed again in Portland with a larger group. Note for Portland:
John Spicer has agreed to represent Core's concerns during any such
discussion within LWG.

Why it was decided to decorate functions with constexpr? [duplicate]

C++11 allows functions declared with the constexpr specifier to be used in constant expressions such as template arguments. There are stringent requirements about what is allowed to be constexpr; essentially such a function encapsulates only one subexpression and nothing else. (Edit: this is relaxed in C++14 but the question stands.)
Why require the keyword at all? What is gained?
It does help in revealing the intent of an interface, but it doesn't validate that intent, by guaranteeing that a function is usable in constant expressions. After writing a constexpr function, a programmer must still:
Write a test case or otherwise ensure it's actually used in a constant expression.
Document what parameter values are valid in a constant expression context.
Contrary to revealing intent, decorating functions with constexpr may add a false sense of security since tangential syntactic constraints are checked while ignoring the central semantic constraint.
In short: Would there be any undesirable effect on the language if constexpr in function declarations were merely optional? Or would there be any effect at all on any valid program?
Preventing client code expecting more than you're promising
Say I'm writing a library and have a function in there that currently returns a constant:
awesome_lib.hpp:
inline int f() { return 4; }
If constexpr wasn't required, you - as the author of client code - might go away and do something like this:
client_app.cpp:
#include <awesome_lib.hpp>
#include <array>
std::array<int, f()> my_array; // needs CT template arg
int my_c_array[f()]; // needs CT array dimension
Then should I change f() to say return the value from a config file, your client code would break, but I'd have no idea that I'd risked breaking your code. Indeed, it might be only when you have some production issue and go to recompile that you find this additional issue frustrating your rebuilding.
By changing only the implementation of f(), I'd have effectively changed the usage that could be made of the interface.
Instead, C++11 onwards provide constexpr so I can denote that client code can have a reasonable expectation of the function remaining a constexpr, and use it as such. I'm aware of and endorsing such usage as part of my interface. Just as in C++03, the compiler continues to guarantee client code isn't built to depend on other non-constexpr functions to prevent the "unwanted/unknown dependency" scenario above; that's more than documentation - it's compile time enforcement.
It's noteworthy that this continues the C++ trend of offering better alternatives for traditional uses of preprocessor macros (consider #define F 4, and how the client programmer knows whether the lib programmer considers it fair game to change to say #define F config["f"]), with their well-known "evils" such as being outside the language's namespace/class scoping system.
Why isn't there a diagnostic for "obviously" never-const functions?
I think the confusion here is due to constexpr not proactively ensuring there is any set of arguments for which the result is actually compile-time const: rather, it requires the programmer to take responsibility for that (otherwise §7.1.5/5 in the Standard deems the program ill-formed but doesn't require the compiler to issue a diagnostic). Yes, that's unfortunate, but it doesn't remove the above utility of constexpr.
So, perhaps it's helpful to switch from the question "what's the point of constexpr" to consider "why can I compile a constexpr function that can never actually return a const value?".
Answer: because there'd be a need for exhaustive branch analysis that could involve any number of combinations. It could be excessively costly in compile time and/or memory - even beyond the capability of any imaginable hardware - to diagnose. Further, even when it is practical having to diagnose such cases accurately is a whole new can of worms for compiler writers (who have better uses for their time). There would also be implications for the program such as the definition of functions called from within the constexpr function needing to be visible when the validation was performed (and functions that function calls etc.).
Meanwhile, lack of constexpr continues to forbid use as a const value: the strictness is on the sans-constexpr side. That's useful as illustrated above.
Comparison with non-`const` member functions
constexpr prevents int x[f()] while lack of const prevents const X x; x.f(); - they're both ensuring client code doesn't hardcode unwanted dependency
in both cases, you wouldn't want the compiler to determine const[expr]-ness automatically:
you wouldn't want client code to call a member function on a const object when you can already anticipate that function will evolve to modify the observable value, breaking the client code
you wouldn't want a value used as a template parameter or array dimension if you already anticipated it later being determined at runtime
they differ in that the compiler enforces const use of other members within a const member function, but does not enforce a compile-time constant result with constexpr (due to practical compiler limitations)
When I pressed Richard Smith, a Clang author, he explained:
The constexpr keyword does have utility.
It affects when a function template specialization is instantiated (constexpr function template specializations may need to be instantiated if they're called in unevaluated contexts; the same is not true for non-constexpr functions since a call to one can never be part of a constant expression). If we removed the meaning of the keyword, we'd have to instantiate a bunch more specializations early, just in case the call happens to be a constant expression.
It reduces compilation time, by limiting the set of function calls that implementations are required to try evaluating during translation. (This matters for contexts where implementations are required to try constant expression evaluation, but it's not an error if such evaluation fails -- in particular, the initializers of objects of static storage duration.)
This all didn't seem convincing at first, but if you work through the details, things do unravel without constexpr. A function need not be instantiated until it is ODR-used, which essentially means used at runtime. What is special about constexpr functions is that they can violate this rule and require instantiation anyway.
Function instantiation is a recursive procedure. Instantiating a function results in instantiation of the functions and classes it uses, regardless of the arguments to any particular call.
If something went wrong while instantiating this dependency tree (potentially at significant expense), it would be difficult to swallow the error. Furthermore, class template instantiation can have runtime side-effects.
Given an argument-dependent compile-time function call in a function signature, overload resolution may incur instantiation of function definitions merely auxiliary to the ones in the overload set, including the functions that don't even get called. Such instantiations may have side effects including ill-formedness and runtime behavior.
It's a corner case to be sure, but bad things can happen if you don't require people to opt-in to constexpr functions.
We can live without constexpr, but in certain cases it makes the code easier and intuitive.
For example we have a class which declares an array with some reference length:
template<typename T, size_t SIZE>
struct MyArray
{
T a[SIZE];
};
Conventionally you might declare MyArray as:
int a1[100];
MyArray<decltype(*a1), sizeof(a1)/sizeof(decltype(a1[0]))> obj;
Now see how it goes with constexpr:
template<typename T, size_t SIZE>
constexpr
size_t getSize (const T (&a)[SIZE]) { return SIZE; }
int a1[100];
MyArray<decltype(*a1), getSize(a1)> obj;
In short, any function (e.g. getSize(a1)) can be used as template argument only if the compiler recognizes it as constexpr.
constexpr is also used to check the negative logic. It ensures that a given object is at compile time. Here is the reference link e.g.
int i = 5;
const int j = i; // ok, but `j` is not at compile time
constexprt int k = i; // error
Without the keyword, the compiler cannot diagnose mistakes. The compiler would not be able to tell you that the function is an invalid syntactically as aconstexpr. Although you said this provides a "false sense of security", I believe it is better to pick up these errors as early as possible.

Why isn't constexpr implied when applicable?

These should probably be in different questions, but they're related so...
Why do we need to write constexpr at all? Given a set of restrictions couldn't a compiler evaluate code to see if it satisfies the constexpr requirements, and treat it as constexpr if it does? As a purely documentation keyword I'm not sure it holds up because I can't think of a case where I (the user of someone else's constexpr function) should really care if it's run time or not.
Here's my logic: If it's an expensive function I think as a matter of good practice I should treat it as such regardless of whether I give it compile-time constant input or not. That might mean calling it during load time and saving off the result, instead of calling it during a critical point in the execution. The reason is because constexpr doesn't actually guarantee to me that it will not be executed in run time in the first place — so perhaps a new/different mechanism should do that.
The constexpr restrictions seem to exclude many, if not most, functions from being compile-time evaluated which logically could be. I've read this is at least in part (or perhaps wholly?) to prevent infinite looping and hanging the compiler. But, if this is the reason, is it legitimate?
Shouldn't a compiler be able to compute if, for any given constexpr function with the given inputs used, it loops infinitely? This is not solving the halting problem for any input. The input to a constexpr function is compile time constant and finite, so the compiler only has to check for infinite looping for a finite set of input: the input actually used. It should be a regular compilation error if you write a compile-time infinite loop.
I asked a very similar question, Why do we need to mark functions as constexpr?
When I pressed Richard Smith, a Clang author, he explained:
The constexpr keyword does have utility.
It affects when a function template specialization is instantiated (constexpr function template specializations may need to be instantiated if they're called in unevaluated contexts; the same is not true for non-constexpr functions since a call to one can never be part of a constant expression). If we removed the meaning of the keyword, we'd have to instantiate a bunch more specializations early, just in case the call happens to be a constant expression.
It reduces compilation time, by limiting the set of function calls that implementations are required to try evaluating during translation. (This matters for contexts where implementations are required to try constant expression evaluation, but it's not an error if such evaluation fails -- in particular, the initializers of objects of static storage duration.)
This all didn't seem convincing at first, but if you work through the details, things do unravel without constexpr. A function need not be instantiated until it is ODR-used, which essentially means used at runtime. What is special about constexpr functions is that they can violate this rule and require instantiation anyway.
Function instantiation is a recursive procedure. Instantiating a function results in instantiation of the functions and classes it uses, regardless of the arguments to any particular call.
If something went wrong while instantiating this dependency tree (potentially at significant expense), it would be difficult to swallow the error. Furthermore, class template instantiation can have runtime side-effects.
Given an argument-dependent compile-time function call in a function signature, overload resolution may incur instantiation of function definitions merely auxiliary to the ones in the overload set, including the functions that don't even get called. Such instantiations may have side effects including ill-formedness and runtime behavior.
It's a corner case to be sure, but bad things can happen if you don't require people to opt-in to constexpr functions.
As for constexpr objects, certain types can produce core constant expressions which are usable in constant expression contexts without having been declared constexpr. But you don't really want the compiler to try evaluating every single expression at compile time. That's what constant propagation is for. On the other hand it seems pretty essential to document when something needs to happen at compile time.
[Note, I totally changed my answer]
To answer your second question, there are two cases for the compiler here:
The compiler has to be able to handle any arbitrary constexpr function(s). In this case you still have the halting problem because the set of inputs is all combinations of constexpr functions and calls to them.
The compiler can handle a finite set of constexpr function(s). In this case the compiler can in fact determine whether some programs will result in infinite loops, while other programs will be uncompilable (since they aren't in the set of valid inputs).
So presumably the restrictions are in place so that it satisfies case 2 for a reasonable amount of compiler effort.
There are both technical and ideological reasons behind this decision.
Not always do we want constexpr ourselves by default - it can take
too much compiling time. That's first. Just imagine you implemented
isPrime function and you have 100 calls with big constexpr
values passed in. I think you don't (in most cases) want to make
compiler compiling this for a couple of minutes longer because it
decided that you need those values in compile-time by itself. But if
it's exactly the case - specify constexpr modifier manually. And this adds the next point:
backward compatibility - it's unwise to assume that every possible C++98 program author who converted this program to C++11 wantsconstexpr.
The second point is that deciding if the function can be constexpr
would take compiling time by itself. And if it was trying to do that for every possible function it would take some additional time overhead. Even more, often compiler
couldn't decide if the given function can be constexpr at all, so
your first assumption is not correct.