[polly] r294836 - Check reduction dependencies in case of the matrix multiplication optimization
Roman Gareev via llvm-commits
llvm-commits at lists.llvm.org
Sat Feb 11 01:59:10 PST 2017
Author: romangareev
Date: Sat Feb 11 03:59:09 2017
New Revision: 294836
URL: http://llvm.org/viewvc/llvm-project?rev=294836&view=rev
Log:
Check reduction dependencies in case of the matrix multiplication optimization
To determine parameters of the matrix multiplication, we check RAW dependencies
that can be expressed using only reduction dependencies. Consequently, we
should check the reduction dependencies, if this is the case.
Reviewed-by: Tobias Grosser <tobias at grosser.es>,
Sven Verdoolaege <skimo-polly at kotnet.org>
Michael Kruse <llvm at meinersbur.de>
Differential Revision: https://reviews.llvm.org/D29814
Added:
polly/trunk/test/ScheduleOptimizer/pattern-matching-based-opts_9.ll
Modified:
polly/trunk/lib/Transform/ScheduleOptimizer.cpp
Modified: polly/trunk/lib/Transform/ScheduleOptimizer.cpp
URL: http://llvm.org/viewvc/llvm-project/polly/trunk/lib/Transform/ScheduleOptimizer.cpp?rev=294836&r1=294835&r2=294836&view=diff
==============================================================================
--- polly/trunk/lib/Transform/ScheduleOptimizer.cpp (original)
+++ polly/trunk/lib/Transform/ScheduleOptimizer.cpp Sat Feb 11 03:59:09 2017
@@ -765,12 +765,15 @@ static bool containsOnlyMatMulDep(__isl_
return false;
}
isl_union_map_free(WAR);
- auto *RAW = D->getDependences(Dependences::TYPE_RAW);
+ auto *Dep = D->getDependences(Dependences::TYPE_RAW);
+ auto *Red = D->getDependences(Dependences::TYPE_RED);
+ if (Red)
+ Dep = isl_union_map_union(Dep, Red);
auto *DomainSpace = isl_space_domain(isl_map_get_space(Schedule));
auto *Space = isl_space_map_from_domain_and_range(isl_space_copy(DomainSpace),
DomainSpace);
- auto *Deltas = isl_map_deltas(isl_union_map_extract_map(RAW, Space));
- isl_union_map_free(RAW);
+ auto *Deltas = isl_map_deltas(isl_union_map_extract_map(Dep, Space));
+ isl_union_map_free(Dep);
int DeltasDimNum = isl_set_dim(Deltas, isl_dim_set);
isl_set_free(Deltas);
for (int i = 0; i < DeltasDimNum; i++) {
Added: polly/trunk/test/ScheduleOptimizer/pattern-matching-based-opts_9.ll
URL: http://llvm.org/viewvc/llvm-project/polly/trunk/test/ScheduleOptimizer/pattern-matching-based-opts_9.ll?rev=294836&view=auto
==============================================================================
--- polly/trunk/test/ScheduleOptimizer/pattern-matching-based-opts_9.ll (added)
+++ polly/trunk/test/ScheduleOptimizer/pattern-matching-based-opts_9.ll Sat Feb 11 03:59:09 2017
@@ -0,0 +1,365 @@
+; RUN: opt %loadPolly -polly-opt-isl -polly-pattern-matching-based-opts=true \
+; RUN: -polly-target-throughput-vector-fma=1 \
+; RUN: -polly-target-latency-vector-fma=8 \
+; RUN: -analyze -polly-ast -polly-target-1st-cache-level-associativity=8 \
+; RUN: -polly-target-2nd-cache-level-associativity=8 \
+; RUN: -polly-target-1st-cache-level-size=32768 \
+; RUN: -polly-target-vector-register-bitwidth=256 \
+; RUN: -polly-target-2nd-cache-level-size=262144 < %s \
+; RUN: | FileCheck %s
+;
+; RUN: opt %loadPolly -analyze -polly-dependences < %s | FileCheck %s \
+; RUN: --check-prefix=DEPENDENCES
+;
+; /* C := A * B + C */
+; /* Elements of the matrices A, B, C have the char type. */
+; /* The type size of elements of the matrix multiplication operands is used
+; to determine the parameters of the code produced by the optimization
+; of the matrix multiplication (e.g. bounds of the loops of the loop
+; nest, the innermost loop body). This test checks the form of
+; the generated loop nest. See getMicroKernelParams and
+; getMacroKernelParams from lib/Transform/ScheduleOptimizer.cpp
+; for details.
+;
+; This patch also checks that we can detect matrix multiplication
+; in case there are reduction dependencies and there are not RAW
+; dependencies. */
+; for (i = 0; i < _PB_NI; i++)
+; for (j = 0; j < _PB_NJ; j++)
+; for (k = 0; k < _PB_NK; ++k)
+; C[i][j] += A[i][k] * B[k][j];
+;
+; CHECK: // 1st level tiling - Tiles
+; CHECK-NEXT: for (int c1 = 0; c1 <= 1; c1 += 1) {
+; CHECK-NEXT: for (int c3 = 0; c3 <= 1023; c3 += 1)
+; CHECK-NEXT: for (int c4 = 512 * c1; c4 <= 512 * c1 + 511; c4 += 1)
+; CHECK-NEXT: CopyStmt_0(0, c3, c4);
+; CHECK-NEXT: for (int c2 = 0; c2 <= 2; c2 += 1) {
+; CHECK-NEXT: for (int c3 = 384 * c2; c3 <= min(1023, 384 * c2 + 383); c3 += 1)
+; CHECK-NEXT: for (int c5 = 512 * c1; c5 <= 512 * c1 + 511; c5 += 1)
+; CHECK-NEXT: CopyStmt_1(c3, 0, c5);
+; CHECK-NEXT: // 1st level tiling - Points
+; CHECK-NEXT: // Register tiling - Tiles
+; CHECK-NEXT: for (int c3 = 0; c3 <= 31; c3 += 1)
+; CHECK-NEXT: for (int c4 = 0; c4 <= min(47, -48 * c2 + 127); c4 += 1)
+; CHECK-NEXT: for (int c5 = 0; c5 <= 511; c5 += 1) {
+; CHECK-NEXT: // Register tiling - Points
+; CHECK-NEXT: {
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 1, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 2, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 4, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 5, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 6, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 7, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 8, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 9, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 10, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 11, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 12, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 13, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 14, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 15, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 16, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 17, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 18, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 19, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 20, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 21, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 22, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 23, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 24, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 25, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 26, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 27, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 28, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 29, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 30, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4, 32 * c3 + 31, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 1, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 2, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 4, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 5, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 6, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 7, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 8, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 9, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 10, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 11, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 12, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 13, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 14, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 15, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 16, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 17, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 18, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 19, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 20, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 21, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 22, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 23, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 24, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 25, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 26, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 27, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 28, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 29, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 30, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 1, 32 * c3 + 31, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 1, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 2, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 4, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 5, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 6, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 7, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 8, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 9, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 10, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 11, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 12, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 13, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 14, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 15, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 16, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 17, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 18, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 19, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 20, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 21, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 22, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 23, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 24, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 25, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 26, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 27, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 28, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 29, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 30, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 2, 32 * c3 + 31, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 1, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 2, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 4, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 5, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 6, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 7, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 8, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 9, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 10, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 11, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 12, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 13, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 14, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 15, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 16, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 17, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 18, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 19, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 20, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 21, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 22, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 23, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 24, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 25, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 26, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 27, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 28, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 29, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 30, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 3, 32 * c3 + 31, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 1, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 2, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 4, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 5, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 6, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 7, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 8, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 9, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 10, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 11, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 12, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 13, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 14, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 15, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 16, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 17, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 18, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 19, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 20, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 21, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 22, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 23, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 24, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 25, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 26, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 27, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 28, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 29, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 30, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 4, 32 * c3 + 31, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 1, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 2, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 4, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 5, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 6, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 7, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 8, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 9, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 10, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 11, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 12, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 13, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 14, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 15, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 16, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 17, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 18, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 19, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 20, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 21, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 22, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 23, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 24, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 25, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 26, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 27, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 28, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 29, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 30, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 5, 32 * c3 + 31, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 1, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 2, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 4, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 5, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 6, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 7, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 8, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 9, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 10, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 11, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 12, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 13, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 14, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 15, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 16, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 17, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 18, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 19, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 20, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 21, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 22, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 23, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 24, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 25, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 26, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 27, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 28, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 29, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 30, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 6, 32 * c3 + 31, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 1, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 2, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 3, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 4, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 5, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 6, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 7, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 8, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 9, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 10, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 11, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 12, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 13, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 14, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 15, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 16, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 17, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 18, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 19, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 20, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 21, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 22, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 23, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 24, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 25, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 26, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 27, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 28, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 29, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 30, 512 * c1 + c5);
+; CHECK-NEXT: Stmt_for_body6(384 * c2 + 8 * c4 + 7, 32 * c3 + 31, 512 * c1 + c5);
+; CHECK-NEXT: }
+; CHECK-NEXT: }
+; CHECK-NEXT: }
+; CHECK-NEXT: }
+;
+; DEPENDENCES: RAW dependences:
+; DEPENDENCES-NEXT: { }
+; DEPENDENCES-NEXT: WAR dependences:
+; DEPENDENCES-NEXT: { }
+; DEPENDENCES-NEXT: WAW dependences:
+; DEPENDENCES-NEXT: { }
+; DEPENDENCES-NEXT: Reduction dependences:
+; DEPENDENCES-NEXT: { Stmt_for_body6[i0, i1, i2] -> Stmt_for_body6[i0, i1, 1 + i2] : 0 <= i0 <= 1023 and 0 <= i1 <= 1023 and 0 <= i2 <= 1022 }
+; DEPENDENCES-NEXT: Transitive closure of reduction dependences:
+; DEPENDENCES-NEXT: { Stmt_for_body6[i0, i1, i2] -> Stmt_for_body6[i0, i1, o2] : 0 <= i0 <= 1023 and 0 <= i1 <= 1023 and ((i2 >= 0 and i2 < o2 <= 1023) or (i2 <= 1023 and 0 <= o2 < i2)) }
+;
+target datalayout = "e-m:e-i64:64-f80:128-n8:16:32:64-S128"
+target triple = "x86_64-unknown-unknown"
+
+define internal void @kernel_gemm(i32 %ni, i32 %nj, i32 %nk, i8 signext %alpha, i8 signext %beta, [1024 x i8]* %C, [1024 x i8]* %A, [1024 x i8]* %B) {
+entry:
+ br label %entry.split
+
+entry.split: ; preds = %entry
+ br label %for.cond1.preheader
+
+for.cond1.preheader: ; preds = %for.inc23, %entry.split
+ %indvars.iv45 = phi i64 [ 0, %entry.split ], [ %indvars.iv.next46, %for.inc23 ]
+ br label %for.cond4.preheader
+
+for.cond4.preheader: ; preds = %for.inc20, %for.cond1.preheader
+ %indvars.iv42 = phi i64 [ 0, %for.cond1.preheader ], [ %indvars.iv.next43, %for.inc20 ]
+ br label %for.body6
+
+for.body6: ; preds = %for.body6, %for.cond4.preheader
+ %indvars.iv = phi i64 [ 0, %for.cond4.preheader ], [ %indvars.iv.next, %for.body6 ]
+ %arrayidx8 = getelementptr inbounds [1024 x i8], [1024 x i8]* %A, i64 %indvars.iv45, i64 %indvars.iv
+ %tmp = load i8, i8* %arrayidx8, align 1
+ %arrayidx12 = getelementptr inbounds [1024 x i8], [1024 x i8]* %B, i64 %indvars.iv, i64 %indvars.iv42
+ %tmp1 = load i8, i8* %arrayidx12, align 1
+ %mul = mul i8 %tmp1, %tmp
+ %arrayidx17 = getelementptr inbounds [1024 x i8], [1024 x i8]* %C, i64 %indvars.iv45, i64 %indvars.iv42
+ %tmp2 = load i8, i8* %arrayidx17, align 1
+ %add = add i8 %mul, %tmp2
+ store i8 %add, i8* %arrayidx17, align 1
+ %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
+ %exitcond = icmp ne i64 %indvars.iv.next, 1024
+ br i1 %exitcond, label %for.body6, label %for.inc20
+
+for.inc20: ; preds = %for.body6
+ %indvars.iv.next43 = add nuw nsw i64 %indvars.iv42, 1
+ %exitcond44 = icmp ne i64 %indvars.iv.next43, 1024
+ br i1 %exitcond44, label %for.cond4.preheader, label %for.inc23
+
+for.inc23: ; preds = %for.inc20
+ %indvars.iv.next46 = add nuw nsw i64 %indvars.iv45, 1
+ %exitcond47 = icmp ne i64 %indvars.iv.next46, 1024
+ br i1 %exitcond47, label %for.cond1.preheader, label %for.end25
+
+for.end25: ; preds = %for.inc23
+ ret void
+}
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