Recently, I came across this question in an interview:
How can we determine how much storage on the stack a particular function is consuming?
The "stack" is famously an implementation detail of the platform that is not inspectable or in any way queryable from within the language itself. It is essentially impossible to guarantee within any part of a C or C++ program whether it will be possible to make another function call. The "stack size", or maybe better called "function call and local variable storage depth", is one of the implementation limits whose existence is acknowledged by the language standard but considered out of scope. (E.g. for C++ see [implimits], Annex B.)
Individual platforms may offer APIs to allow programs to introspect the platform limitations, but neither C nor C++ specify that or how this should be possible.
Exceeding the implementation-defined resource limits leads to undefined behaviour, and you cannot know whether you will exceed the limits.