Scalar vs. primitive data type - are they the same thing?

Question

In various articles I have read, there are sometimes references to primitive data types and sometimes there are references to scalars.

My understanding of each is th

Answer 1

There's a lot of confusion and misuse of these terms. Often one is used to mean another. Here is what those terms actually mean.

"Native" refers to types that are built into to the language, as opposed to being provided by a library (even a standard library), regardless of how they're implemented. Perl strings are part of the Perl language, so they are native in Perl. C provides string semantics over pointers to chars using a library, so pointer to char is native, but strings are not.

"Atomic" refers to a type that can no longer be decomposed. It is the opposite of "composite". Composites can be decomposed into a combination of atomic values or other composites. Native integers and floating point numbers are atomic. Fractions, complex numbers, containers/collections, and strings are composite.

"Scalar" -- and this is the one that confuses most people -- refers to values that can express scale (hence the name), such as size, volume, counts, etc. Integers, floating point numbers, and fractions are scalars. Complex numbers, booleans, and strings are NOT scalars. Something that is atomic is not necessarily scalar and something that is scalar is not necessarily atomic. Scalars can be native or provided by libraries.

Some types have odd classifications. BigNumber types, usually implemented as an array of digits or integers, are scalars, but they're technically not atomic. They can appear to be atomic if the implementation is hidden and you can't access the internal components. But the components are only hidden, so the atomicity is an illusion. They're almost invariably provided in libraries, so they're not native, but they could be. In the Mathematica programming language, for example, big numbers are native and, since there's no way for a Mathematica program to decompose them into their building blocks, they're also atomic in that context, despite the fact that they're composites under the covers (where you're no longer in the world of the Mathematica language).

These definitions are independent of the language being used.