It is the case that, for all positive a and b such that b divides a
(e mod (a * b)) mod b = e mod b. For example, ((d0 mod 35) mod 5) can
be simplified to (d0 mod 5), but ((d0 mod 35) mod 4) cannot be simplified
further (x = 36 is a counterexample).
This change enables more complex simplifications. For example,
((d0 * 72 + d1) mod 144) mod 9 can now simplify to (d0 * 72 + d1) mod 9
and thus to d1 mod 9. Expressions with chained modulus operators are
reasonably common in tensor applications, and this change _should_
improve code generation for such expressions.
Reviewed By: nicolasvasilache
Differential Revision: https://reviews.llvm.org/D109930
Summary: The current syntax for AffineMapAttr and IntegerSetAttr conflict with function types, making it currently impossible to round-trip function types(and e.g. FuncOp) in the IR. This revision changes the syntax for the attributes by wrapping them in a keyword. AffineMapAttr is wrapped with `affine_map<>` and IntegerSetAttr is wrapped with `affine_set<>`.
Reviewed By: nicolasvasilache, ftynse
Differential Revision: https://reviews.llvm.org/D72429
Add one more simplification for floordiv and mod affine expressions.
Examples:
(2*d0 + 1) floordiv 2 is simplified to d0
(8*d0 + 4*d1 + d2) floordiv 4 simplified to 4*d0 + d1 + d2 floordiv 4.
etc.
Similarly, (4*d1 + 1) mod 2 is simplified to 1,
(2*d0 + 8*d1) mod 8 simplified to 2*d0 mod 8.
Change getLargestKnownDivisor to return int64_t to be consistent and
to avoid casting at call sites (since the return value is used in expressions
of int64_t/index type).
Signed-off-by: Uday Bondhugula <uday@polymagelabs.com>
Closestensorflow/mlir#202
COPYBARA_INTEGRATE_REVIEW=https://github.com/tensorflow/mlir/pull/202 from bondhugula:affine b13fcb2f1c00a39ca5434613a02408e085a80e77
PiperOrigin-RevId: 284866710
- fix missing check while simplifying an expression with floordiv to a
mod
- fixes issue tensorflow/mlir#82
Signed-off-by: Uday Bondhugula <uday@polymagelabs.com>
Closestensorflow/mlir#84
PiperOrigin-RevId: 264338353
- print multiplication by -1 as unary negate; expressions like s0 * -1, d0 * -1
+ d1 will now appear as -s0, -d0 + d1 resp.
- a minor cleanup while on printAffineExprInternal
PiperOrigin-RevId: 230222151
The entire compiler now looks at structural properties of the function (e.g.
does it have one block, does it contain an if/for stmt, etc) so the only thing
holding up this difference is round tripping through the parser/printer syntax.
Removing this shrinks the compile by ~140LOC.
This is step 31/n towards merging instructions and statements. The last step
is updating the docs, which I will do as a separate patch in order to split it
from this mostly mechanical patch.
PiperOrigin-RevId: 227540453
As per MLIR spec, the absence of affine maps in MemRef type is interpreted as
an implicit identity affine map. Therefore, MemRef types declared with
explicit or implicit identity map should be considered equal at the MemRefType
level. During MemRefType construction, drop trivial identity affine map
compositions. A trivial identity composition consists of a single unbounded
identity map. It is unclear whether affine maps should be composed in-place to
a single map during MemRef type construction, so non-trivial compositions that
could have been simplified to an identity are NOT removed. We chose to drop
the trivial identity map rather than inject it in places that assume its
present implicitly because it makes the code simpler by reducing boilerplate;
identity mappings are obvious defaults.
Update tests that were checking for the presence of trivial identity map
compositions in the outputs.
PiperOrigin-RevId: 218862454
This check was being performed in AllocOp::verify. However it is not specific
to AllocOp and should apply to all MemRef type declarations. At the same time,
the unique *Type factory functions in MLIRContext do not have access to
location information necessary to properly emit diagnostics. Emit the error in
Parser where the location information is available. Keep the error emission in
AllocOp for the cases of programmatically-constructed, e.g. through Builders,
IR with a note. Once we decided on the diagnostic infrastructure in type
construction system, the type-related checks should be removed from specific
Ops.
Correct several parser test cases that have been using affine maps of
mismatching dimensionality.
This CL prepares for an upcoming change that will drop trivial identity affine
map compositions during MemRefType construction. In that case, the
dimensionality mismatch error must be emitted before dropping the identity map,
i.e. during the type construction at the latest and before "verify" being
called.
PiperOrigin-RevId: 218844127
- introduce mlir::{floorDiv, ceilDiv, mod} for constant inputs in
mlir/Support/MathExtras.h
- consistently use these everywhere in IR, Analysis, and Transforms.
PiperOrigin-RevId: 215580677
optimization pass:
- Give the ability for operations to implement a constantFold hook (a simple
one for single-result ops as well as general support for multi-result ops).
- Implement folding support for constant and addf.
- Implement support in AbstractOperation and Operation to make this usable by
clients.
- Implement a very simple constant folding pass that does top down folding on
CFG and ML functions, with a testcase that exercises all the above stuff.
Random cleanups:
- Improve the build APIs for ConstantOp.
- Stop passing "-o -" to mlir-opt in the testsuite, since that is the default.
PiperOrigin-RevId: 213749809
unroll/unroll-and-jam more powerful; add additional affine expr builder methods
- use previously added analysis/simplification to infer multiple of unroll
factor trip counts, making loop unroll/unroll-and-jam more general.
- for loop unroll, support bounds that are single result affine map's with the
same set of operands. For unknown loop bounds, loop unroll will now work as
long as trip count can be determined to be a multiple of unroll factor.
- extend getConstantTripCount to deal with single result affine map's with the
same operands. move it to mlir/Analysis/LoopAnalysis.cpp
- add additional builder utility methods for affine expr arithmetic
(difference, mod/floordiv/ceildiv w.r.t postitive constant). simplify code to
use the utility methods.
- move affine analysis routines to AffineAnalysis.cpp/.h from
AffineStructures.cpp/.h.
- Rename LoopUnrollJam to LoopUnrollAndJam to match class name.
- add an additional simplification for simplifyFloorDiv, simplifyCeilDiv
- Rename AffineMap::getNumOperands() getNumInputs: an affine map by itself does
not have operands. Operands are passed to it through affine_apply, from loop
bounds/if condition's, etc., operands are stored in the latter.
This should be sufficiently powerful for now as far as unroll/unroll-and-jam go for TPU
code generation, and can move to other analyses/transformations.
Loop nests like these are now unrolled without any cleanup loop being generated.
for %i = 1 to 100 {
// unroll factor 4: no cleanup loop will be generated.
for %j = (d0) -> (d0) (%i) to (d0) -> (5*d0 + 3) (%i) {
%x = "foo"(%j) : (affineint) -> i32
}
}
for %i = 1 to 100 {
// unroll factor 4: no cleanup loop will be generated.
for %j = (d0) -> (d0) (%i) to (d0) -> (d0 - d mod 4 - 1) (%i) {
%y = "foo"(%j) : (affineint) -> i32
}
}
for %i = 1 to 100 {
for %j = (d0) -> (d0) (%i) to (d0) -> (d0 + 128) (%i) {
%x = "foo"() : () -> i32
}
}
TODO(bondhugula): extend this to LoopUnrollAndJam as well in the next CL (with minor
changes).
PiperOrigin-RevId: 212661212
Outside of IR/
- simplify a MutableAffineMap by flattening the affine expressions
- add a simplify affine expression pass that uses this analysis
- update the FlatAffineConstraints API (to be used in the next CL)
In IR:
- add isMultipleOf and getKnownGCD for AffineExpr, and make the in-IR
simplication of simplifyMod simpler and more powerful.
- rename the AffineExpr visitor methods to distinguish b/w visiting and
walking, and to simplify API names based on context.
The next CL will use some of these for the loop unrolling/unroll-jam to make
the detection for the need of cleanup loop powerful/non-trivial.
A future CL will finally move this simplification to FlatAffineConstraints to
make it more powerful. For eg., currently, even if a mod expr appearing in a
part of the expression tree can't be simplified, the whole thing won't be
simplified.
PiperOrigin-RevId: 211012256
This commit adds 2 tests:
1. a negative test in which the simplification of expression does not seem satisfactory.
This test should be updated once expression simplification works reasonably.
2. a positive test in which floordiv and ceildiv return the same result, properly enforced with CHECK-NOT
PiperOrigin-RevId: 210286267
This commit replaces // CHECK-EMPTY because it is an extremely confusing way of
allowing (but not checking for) empty lines. The problem is that // CHECK-EMPTY
is **only a comment** and does not do anything.
I originally tried to use // CHECK-EMPTY: but errors occured due to missing
newlines.
The intended behavior of the test is to enforce nothing (not even a newline)
is printed and the proper way to check for this is to use CHECK-NOT.
Thanks to @rxwei for helping me figure out to use CHECK-NOT properly.
PiperOrigin-RevId: 210286262
FlatAffineConstraints, and MutableAffineMap.
All four classes introduced reside in lib/Analysis and are not meant to be
used in the IR (from lib/IR or lib/Parser/). They are all mutable, alloc'ed,
dealloc'ed - although with their fields pointing to immutable affine
expressions (AffineExpr *).
While on this, update simplifyMod to fold mod to a zero when possible.
PiperOrigin-RevId: 209618437
- simplify operations with identity elements (multiply by 1, add with 0).
- simplify successive add/mul: fold constants, propagate constants to the
right.
- simplify floordiv and ceildiv when divisors are constants, and the LHS is a
multiply expression with RHS constant.
- fix an affine expression printing bug on paren emission.
- while on this, fix affine-map test cases file (memref's using layout maps
that were duplicates of existing ones should be emitted pointing to the
unique'd one).
PiperOrigin-RevId: 207046738
This is still (intentionally) generating redundant parens for nested tightly
binding expressions, but I think that is reasonable for readability sake.
This also print x-y instead of x-(y*1)
PiperOrigin-RevId: 206847212
- Enhance memref type to allow omission of mappings and address
spaces (implying a default mapping).
- Fix printing of function types to properly recurse with printType
so mappings are printed by name.
- Simplify parsing of AffineMaps a bit now that we have
isSymbolicOrConstant()
PiperOrigin-RevId: 206039755
Krzysztof Drewniak