llvm-project/polly
Roman Lebedev 82fb4f4b22
[SCEV] Sequential/in-order `UMin` expression
As discussed in https://github.com/llvm/llvm-project/issues/53020 / https://reviews.llvm.org/D116692,
SCEV is forbidden from reasoning about 'backedge taken count'
if the branch condition is a poison-safe logical operation,
which is conservatively correct, but is severely limiting.

Instead, we should have a way to express those
poison blocking properties in SCEV expressions.

The proposed semantics is:
```
Sequential/in-order min/max SCEV expressions are non-commutative variants
of commutative min/max SCEV expressions. If none of their operands
are poison, then they are functionally equivalent, otherwise,
if the operand that represents the saturation point* of given expression,
comes before the first poison operand, then the whole expression is not poison,
but is said saturation point.
```
* saturation point - the maximal/minimal possible integer value for the given type

The lowering is straight-forward:
```
compare each operand to the saturation point,
perform sequential in-order logical-or (poison-safe!) ordered reduction
over those checks, and if reduction returned true then return
saturation point else return the naive min/max reduction over the operands
```
https://alive2.llvm.org/ce/z/Q7jxvH (2 ops)
https://alive2.llvm.org/ce/z/QCRrhk (3 ops)
Note that we don't need to check the last operand: https://alive2.llvm.org/ce/z/abvHQS
Note that this is not commutative: https://alive2.llvm.org/ce/z/FK9e97

That allows us to handle the patterns in question.

Reviewed By: nikic, reames

Differential Revision: https://reviews.llvm.org/D116766
2022-01-10 20:51:26 +03:00
..
cmake [Windows][Polly] Disable LLVMPolly module for all compilers on Windows 2020-09-15 09:12:38 +03:00
docs [NFC] Fix typos in release notes. 2021-12-14 14:19:42 -08:00
include/polly [SCEV] Sequential/in-order `UMin` expression 2022-01-10 20:51:26 +03:00
lib [SCEV] Sequential/in-order `UMin` expression 2022-01-10 20:51:26 +03:00
test [Polly][SchedOpt] Account for prevectorization of multiple statements. 2021-12-23 14:06:41 -06:00
tools
unittests [Polly][Isl] Use the function unsignedFromIslSize to manage a isl::size object. NFCI 2021-11-05 11:15:22 +01:00
utils Harmonize Python shebang 2020-07-16 21:53:45 +02:00
www [Polly] Clean up Polly's getting started docs. 2021-10-14 12:26:57 -05:00
.arclint
.gitattributes
.gitignore
CMakeLists.txt Remove .svn from exclude list as we moved to git 2020-10-21 16:09:21 +02:00
CREDITS.txt
LICENSE.TXT Rename top-level LICENSE.txt files to LICENSE.TXT 2021-03-10 21:26:24 -08:00
README

README

Polly - Polyhedral optimizations for LLVM
-----------------------------------------
http://polly.llvm.org/

Polly uses a mathematical representation, the polyhedral model, to represent and
transform loops and other control flow structures. Using an abstract
representation it is possible to reason about transformations in a more general
way and to use highly optimized linear programming libraries to figure out the
optimal loop structure. These transformations can be used to do constant
propagation through arrays, remove dead loop iterations, optimize loops for
cache locality, optimize arrays, apply advanced automatic parallelization, drive
vectorization, or they can be used to do software pipelining.