Summary:
Types of integer constants, in particular their bit-width, are
necessary for:
- correctly interpreting bitwise operations (e.g. `-1 xor 1` at type
`i1` is `0` while without the type the result is `-2`), and;
- distinguishing between integers and booleans, which are one-bit
integers, since booleans admit stronger algebraic simplification.
Note that code does genuinely treat 1-bit integers interchangeably as
booleans and integers, e.g. with expressions such as `e + (b != 42)`.
Therefore a lighter-weight early syntactic distinction between boolean
and bitwise operations is nontrivial/impossible to make robust.
This patch:
- adds the type to the representation of Exp.Integer;
- adds checks that Integer values fit within their specified bit-width
- factors out code handling 1-bit integers as booleans into `Z`, as it
is easy to make mistakes when forgetting that `-1`, not `1`, is the
representation of `true`;
- corrects the treatment of Exp.Convert in some cases involving
treating negative integers as unsigned;
- corrects and strengthens Exp simplification based on the bit-width
information;
- removes the `e - e ==> 0` simplification, due to not having the type
for `0`.
Reviewed By: mbouaziz
Differential Revision: D10488407
fbshipit-source-id: ff4320a29
Josh Berdine