Constant expressions
Defines an expression that can be evaluated at compile time.
Such expressions can be used as non-type template arguments, array sizes, and in other contexts that require constant expressions, e.g.
int n = 1; std::array<int, n> a1; // error: n is not a constant expression const int cn = 2; std::array<int, cn> a2; // OK: cn is a constant expression
Core constant expressions
A core constant expression is any expression whose evaluation would not evaluate any one of the following:
- the
this
pointer, except in aconstexpr
function or aconstexpr
constructor that is being evaluated as part of the expression - a function call expression that calls a function (or a constructor) that is not declared constexpr
constexpr int n = std::numeric_limits<int>::max(); // OK: max() is constexpr constexpr int m = std::time(nullptr); // Error: std::time() is not constexpr
- a function call to a
constexpr
function which is declared, but not defined - a function call to a
constexpr
function/constructor template instantiation where the instantiation fails to satisfy constexpr function/constructor requirements. - an expression that would exceed the implementation-defined limits
- an expression whose evaluation leads to any form of core language undefined behavior (including signed integer overflow, division by zero, pointer arithmetic outside array bounds, etc). Whether standard library undefined behavior is detected is unspecified.
constexpr double d1 = 2.0/1.0; // OK constexpr double d2 = 2.0/0.0; // Error: not defined constexpr int n = std::numeric_limits<int>::max() + 1; // Error: overflow int x, y, z[30]; constexpr auto e1 = &y - &x; // Error: undefined constexpr auto e2 = &z[20] - &z[3]; // OK constexpr std::bitset<2> a; constexpr bool b = a[2]; // UB, but unspecified if detected
- (until C++17) a lambda expression
- an lvalue-to-rvalue implicit conversion, unless the lvalue...
- has integral or enumeration type and refers to a complete non-volatile const object, which is initialized with a constant expression
int main() { const std::size_t tabsize = 50; int tab[tabsize]; // OK: tabsize is a constant expression std::size_t n = 50; const std::size_t sz = n; int tab2[sz]; // error: sz is not a constant expression // because sz is not initialized with a constant expression }
- is a non-volatile glvalue that refers to an element of a string literal
- has literal type and refers to a non-volatile object defined with
constexpr
or a template parameter object (since C++20) or to its non-mutable subobject - has literal type and refers to a non-volatile object whose lifetime began within the evaluation of this expression
- has integral or enumeration type and refers to a complete non-volatile const object, which is initialized with a constant expression
- an lvalue-to-rvalue implicit conversion or modification applied to a non-active member of a union or its subobject (even if it shares a common initial sequence with the active member)
- an invocation of an implicitly-defined copy/move constructor or copy/move assignment operator for a union whose active member (if any) is mutable, unless the lifetime of the union object began within the evaluation of this expression
- (since C++17) (until C++20) an assignment expression or invocation of an overloaded assignment operator that would change the active member of a union
- an id-expression referring to a variable or a data member of reference type, unless it was initialized with a constant expression or its lifetime began within the evaluation of this expression
- (since C++20) a checked contract whose predicate evaluates to
false
- conversion from cv
void*
to any pointer-to-object type - (until C++20)
dynamic_cast
-
reinterpret_cast
- pseudo-destructor call
- (until C++14) an increment or a decrement operator
-
(since C++14) modification of an object, unless the object has non-volatile literal type and its lifetime began within the evaluation of the expression.
constexpr int incr(int& n) { return ++n; } constexpr int g(int k) { constexpr int x = incr(k); // error: incr(k) is not a core constant // expression because lifetime of k // began outside the expression incr(k) return x; } constexpr int h(int k) { int x = incr(k); // OK: x is not required to be initialized with a core // constant expression return x; } constexpr int y = h(1); // OK: initializes y with the value 2 // h(1) is a core constant expression because // the lifetime of k begins inside the expression h(1)
- (until C++20) a
typeid
expression applied to a glvalue of polymorphic type - a new-expression or a delete-expression
- (since C++20) a three-way comparison when the result is unspecified
- an equality or relational operator when the result is unspecified
- (until C++14) an assignment or a compound assignment operator
- a throw expression
- (since C++20) a
dynamic_cast
ortypeid
expression that would throw an exception - inside a lambda-expression, a reference to
this
or to a variable defined outside that lambda, if that reference would be an odr-usevoid g() { const int n=0; constexpr int j=*&n; // OK: outside of a lambda-expression [=]{ constexpr int i=n; // OK: 'n' is not odr-used and not captured here. constexpr int j=*&n;// Ill-formed: '&n' would be an odr-use of 'n'. }; }
note that if the ODR-use takes place in a function call to a closure, it does not refer to
this
or to an enclosing variable, since it accesses a closure's data member instead.// OK: 'v' & 'm' are odr-used but do not occur in a constant-expression // within the nested lambda auto monad = [](auto v){return [=]{return v;};}; auto bind = [](auto m){return [=](auto fvm){return fvm(m());};}; // OK to have captures to automatic objects created during constant expression evaluation. static_assert(bind(monad(2))(monad)() == monad(2)());
(since C++17)
Note: Just being a core constant expression does not have any direct semantic meaning: an expression has to be one of the following subsets to be used in certain contexts:
Integral constant expression
Integral constant expression is an expression of integral or unscoped enumeration type implicitly converted to a prvalue, where the converted expression is a core constant expression. If an expression of class type is used where an integral constant expression is expected, the expression is contextually implicitly converted to an integral or unscoped enumeration type.
The following contexts require an integral constant expression:
| (until C++14) |
- bit-field lengths
- enumeration initializers when the underlying type is not fixed
| (until C++14) |
Converted constant expression
A converted constant expression of type T
is an expression implicitly converted to type T, where the converted expression is a constant expression, and the implicit conversion sequence contains only:
- constexpr user-defined conversions (so a class can be used where integral type is expected)
- lvalue-to-rvalue conversions
- integral promotions
- non-narrowing integral conversions
| (since C++17) |
- And if any reference binding takes place, it is direct binding (not one that constructs a temporary object)
The following contexts require a converted constant expression:
- case expressions
- enumerator initializers when the underlying type is fixed
| (since C++14) |
- integral and enumeration (until C++17)non-type template arguments.
A contextually converted constant expression of type bool
is an expression, contextually converted to bool
, where the converted expression is a constant expression and the conversion sequence contains only the conversions above.
The following contexts require a contextually converted constant expression of type bool
:
(since C++17) |
(since C++20) |
Constant expression
A constant expression is either.
| (since C++14) |
A constant expression is a literal constant expression, a reference constant expression, or an address constant expression. Literal constant expression is a prvalue core constant expression of non-pointer literal type (after conversions as required by context). A literal constant expression of array or class type requires that each subobject is initialized with a constant expression. Reference constant expression is an lvalue core constant expression that designates an object with static storage duration or a function. Address constant expression is a prvalue core constant expression (after conversions required by context) of type | (until C++14) |
void test() { static const int a = std::random_device{}(); constexpr const int& ra = a; // OK: a is a glvalue constant expression constexpr int ia = a; // Error: a is not a prvalue constant expression const int b = 42; constexpr const int& rb = b; // Error: b is not a glvalue constant expression constexpr int ib = b; // OK: b is a prvalue constant expression }
Notes
Implementations are not permitted to declare library functions as Named return value optimization (NRVO) is not permitted in constant expressions, while return value optimization (RVO) is mandatory. | (since C++14) |
Defect reports
The following behavior-changing defect reports were applied retroactively to previously published C++ standards.
DR | Applied to | Behavior as published | Correct behavior |
---|---|---|---|
CWG 2167 | C++14 | non-member references local to an evaluation were making the evaluation non-constexpr | non-member references allowed |
CWG 1313 | C++11 | undefined behavior was permitted, and all pointer subtraction was prohibited | same-array pointer subtraction ok, UB prohibited |
CWG 1952 | C++11 | standard library undefined behavior was required to be diagnosed | unspecified whether library UB is diagnosed |
See also
constexpr specifier | specifies that the value of a variable or function can be computed at compile time (C++11) |
(C++11)(deprecated in C++17)(removed in C++20) | checks if a type is a literal type (class template) |
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