This CL adds the following free functions:
```
/// Returns the AffineExpr e o m.
AffineExpr compose(AffineExpr e, AffineMap m);
/// Returns the AffineExpr f o g.
AffineMap compose(AffineMap f, AffineMap g);
```
This addresses the issue that AffineMap composition is only available at a
distance via AffineValueMap and is thus unusable on Attributes.
This CL thus implements AffineMap composition in a more modular and composable
way.
This CL does not claim that it can be a good replacement for the
implementation in AffineValueMap, in particular it does not support bounded
maps atm.
Standalone tests are added that replicate some of the logic of the AffineMap
composition pass.
Lastly, affine map composition is used properly inside MaterializeVectors and
a standalone test is added that requires permutation_map composition with a
projection map.
PiperOrigin-RevId: 224376870
This CL adds tooling for computing slices as an independent CL.
The first consumer of this analysis will be super-vector materialization in a
followup CL.
In particular, this adds:
1. a getForwardStaticSlice function with documentation, example and a
standalone unit test;
2. a getBackwardStaticSlice function with documentation, example and a
standalone unit test;
3. a getStaticSlice function with documentation, example and a standalone unit
test;
4. a topologicalSort function that is exercised through the getStaticSlice
unit test.
The getXXXStaticSlice functions take an additional root (resp. terminators)
parameter which acts as a boundary that the transitive propagation algorithm
is not allowed to cross.
PiperOrigin-RevId: 222446208
This CL adds some vector support in prevision of the upcoming vector
materialization pass. In particular this CL adds 2 functions to:
1. compute the multiplicity of a subvector shape in a supervector shape;
2. help match operations on strict super-vectors. This is defined for a given
subvector shape as an operation that manipulates a vector type that is an
integral multiple of the subtype, with multiplicity at least 2.
This CL also adds a TestUtil pass where we can dump arbitrary testing of
functions and analysis that operate at a much smaller granularity than a pass
(e.g. an analysis for which it is convenient to write a bit of artificial MLIR
and write some custom test). This is in order to keep using Filecheck for
things that essentially look and feel like C++ unit tests.
PiperOrigin-RevId: 222250910
