[c++] Difference between `constexpr` and `const`

According to book of "The C++ Programming Language 4th Editon" by Bjarne Stroustrup
const: meaning roughly ‘‘I promise not to change this value’’ (§7.5). This is used primarily to specify interfaces, so that data can be passed to functions without fear of it being modified.
The compiler enforces the promise made by const.
constexpr: meaning roughly ‘‘to be evaluated at compile time’’ (§10.4). This is used primarily to specify constants, to allow
For example:

const int dmv = 17; // dmv is a named constant
int var = 17; // var is not a constant
constexpr double max1 = 1.4*square(dmv); // OK if square(17) is a constant expression
constexpr double max2 = 1.4*square(var); // error : var is not a constant expression
const double max3 = 1.4*square(var); //OK, may be evaluated at run time
double sum(const vector<double>&); // sum will not modify its argument (§2.2.5)
vector<double> v {1.2, 3.4, 4.5}; // v is not a constant
const double s1 = sum(v); // OK: evaluated at run time
constexpr double s2 = sum(v); // error : sum(v) not constant expression

For a function to be usable in a constant expression, that is, in an expression that will be evaluated by the compiler, it must be defined constexpr.
For example:

constexpr double square(double x) { return x*x; }


To be constexpr, a function must be rather simple: just a return-statement computing a value. A constexpr function can be used for non-constant arguments, but when that is done the result is not a constant expression. We allow a constexpr function to be called with non-constant-expression arguments in contexts that do not require constant expressions, so that we don’t hav e to define essentially the same function twice: once for constant expressions and once for variables.
In a few places, constant expressions are required by language rules (e.g., array bounds (§2.2.5, §7.3), case labels (§2.2.4, §9.4.2), some template arguments (§25.2), and constants declared using constexpr). In other cases, compile-time evaluation is important for performance. Independently of performance issues, the notion of immutability (of an object with an unchangeable state) is an important design concern (§10.4).

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