Q1:Is this considered standard?
Given the definition int n = 42, new float[n][5]
is well-formed (because n is the expression of a
noptr-new-declarator), but new float[5][n] is ill-formed (because n is
not a constant expression).
--5.3.4.6,N3242
If the allocated type is an array type, the allocation function’s
name is operator new[] and the deallocation function’s name is
operator delete[].
--5.3.4.8,N3242
new T[5]
results in a call of operator new[](sizeof(T)*5+x)
Here, x and y are non-negative unspecified values representing array allocation overhead;
--5.3.4.12,N3242
Q2:If it is standard, in that case, is it possible to extend the size of the array (or any array) after creation?
Partially no, or not recommended.
when the allocation function returns a value other than null, it must be a pointer to a block of storage
in which space for the object has been reserved. Mostly allocation happened in heap, and there may not have more contiguous memory left which is important for array.
If you have to do this and have a memory poll, use placement new operator you can do this partially, but what you do now is what the designer of allocator do, and have risk ruin the inner memory storage.
Q3: using a function to create such an array? (if so, how?)
Entities created by a new-expression have dynamic storage duration
(3.7.4). [Note: the lifetime of such an entity is not necessarily
restricted to the scope in which it is created. — end note ]
--5.3.4.1,N3242
The rest of things are how to design such function to meet your need, even use template.
1 template<typename T>T* foo(std::size_t size){
2 return new T[size] ;
3 }