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354 lines
14 KiB
354 lines
14 KiB
4 months ago
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//===- polly/ScheduleOptimizer.h - The Schedule Optimizer -------*- C++ -*-===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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#ifndef POLLY_SCHEDULEOPTIMIZER_H
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#define POLLY_SCHEDULEOPTIMIZER_H
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#include "llvm/ADT/ArrayRef.h"
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#include "isl/isl-noexceptions.h"
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namespace llvm {
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class TargetTransformInfo;
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} // namespace llvm
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struct isl_schedule_node;
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/// Parameters of the micro kernel.
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///
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/// Parameters, which determine sizes of rank-1 (i.e., outer product) update
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/// used in the optimized matrix multiplication.
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struct MicroKernelParamsTy {
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int Mr;
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int Nr;
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};
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/// Parameters of the macro kernel.
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///
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/// Parameters, which determine sizes of blocks of partitioned matrices
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/// used in the optimized matrix multiplication.
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struct MacroKernelParamsTy {
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int Mc;
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int Nc;
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int Kc;
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};
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namespace polly {
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struct Dependences;
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class MemoryAccess;
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class Scop;
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/// Additional parameters of the schedule optimizer.
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///
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/// Target Transform Info and the SCoP dependencies used by the schedule
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/// optimizer.
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struct OptimizerAdditionalInfoTy {
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const llvm::TargetTransformInfo *TTI;
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const Dependences *D;
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};
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/// Parameters of the matrix multiplication operands.
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///
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/// Parameters, which describe access relations that represent operands of the
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/// matrix multiplication.
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struct MatMulInfoTy {
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MemoryAccess *A = nullptr;
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MemoryAccess *B = nullptr;
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MemoryAccess *ReadFromC = nullptr;
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MemoryAccess *WriteToC = nullptr;
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int i = -1;
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int j = -1;
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int k = -1;
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};
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extern bool DisablePollyTiling;
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} // namespace polly
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class ScheduleTreeOptimizer {
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public:
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/// Apply schedule tree transformations.
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///
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/// This function takes an (possibly already optimized) schedule tree and
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/// applies a set of additional optimizations on the schedule tree. The
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/// transformations applied include:
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///
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/// - Tiling
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/// - Prevectorization
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///
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/// @param Schedule The schedule object the transformations will be applied
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/// to.
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/// @param OAI Target Transform Info and the SCoP dependencies.
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/// @returns The transformed schedule.
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static isl::schedule
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optimizeSchedule(isl::schedule Schedule,
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const polly::OptimizerAdditionalInfoTy *OAI = nullptr);
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/// Apply schedule tree transformations.
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///
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/// This function takes a node in an (possibly already optimized) schedule
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/// tree and applies a set of additional optimizations on this schedule tree
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/// node and its descendants. The transformations applied include:
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///
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/// - Tiling
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/// - Prevectorization
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///
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/// @param Node The schedule object post-transformations will be applied to.
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/// @param OAI Target Transform Info and the SCoP dependencies.
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/// @returns The transformed schedule.
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static isl::schedule_node
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optimizeScheduleNode(isl::schedule_node Node,
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const polly::OptimizerAdditionalInfoTy *OAI = nullptr);
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/// Decide if the @p NewSchedule is profitable for @p S.
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///
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/// @param S The SCoP we optimize.
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/// @param NewSchedule The new schedule we computed.
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///
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/// @return True, if we believe @p NewSchedule is an improvement for @p S.
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static bool isProfitableSchedule(polly::Scop &S, isl::schedule NewSchedule);
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/// Isolate a set of partial tile prefixes.
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///
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/// This set should ensure that it contains only partial tile prefixes that
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/// have exactly VectorWidth iterations.
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///
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/// @param Node A schedule node band, which is a parent of a band node,
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/// that contains a vector loop.
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/// @return Modified isl_schedule_node.
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static isl::schedule_node isolateFullPartialTiles(isl::schedule_node Node,
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int VectorWidth);
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private:
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/// Tile a schedule node.
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///
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/// @param Node The node to tile.
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/// @param Identifier An name that identifies this kind of tiling and
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/// that is used to mark the tiled loops in the
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/// generated AST.
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/// @param TileSizes A vector of tile sizes that should be used for
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/// tiling.
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/// @param DefaultTileSize A default tile size that is used for dimensions
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/// that are not covered by the TileSizes vector.
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static isl::schedule_node tileNode(isl::schedule_node Node,
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const char *Identifier,
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llvm::ArrayRef<int> TileSizes,
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int DefaultTileSize);
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/// Tile a schedule node and unroll point loops.
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///
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/// @param Node The node to register tile.
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/// @param TileSizes A vector of tile sizes that should be used for
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/// tiling.
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/// @param DefaultTileSize A default tile size that is used for dimensions
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static isl::schedule_node applyRegisterTiling(isl::schedule_node Node,
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llvm::ArrayRef<int> TileSizes,
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int DefaultTileSize);
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/// Apply the BLIS matmul optimization pattern.
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///
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/// Make the loops containing the matrix multiplication be the innermost
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/// loops and apply the BLIS matmul optimization pattern. BLIS implements
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/// gemm as three nested loops around a macro-kernel, plus two packing
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/// routines. The macro-kernel is implemented in terms of two additional
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/// loops around a micro-kernel. The micro-kernel is a loop around a rank-1
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/// (i.e., outer product) update.
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///
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/// For a detailed description please see [1].
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///
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/// The order of the loops defines the data reused in the BLIS implementation
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/// of gemm ([1]). In particular, elements of the matrix B, the second
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/// operand of matrix multiplication, are reused between iterations of the
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/// innermost loop. To keep the reused data in cache, only elements of matrix
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/// A, the first operand of matrix multiplication, should be evicted during
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/// an iteration of the innermost loop. To provide such a cache replacement
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/// policy, elements of the matrix A can, in particular, be loaded first and,
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/// consequently, be least-recently-used.
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///
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/// In our case matrices are stored in row-major order instead of
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/// column-major order used in the BLIS implementation ([1]). It affects only
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/// on the form of the BLIS micro kernel and the computation of its
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/// parameters. In particular, reused elements of the matrix B are
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/// successively multiplied by specific elements of the matrix A.
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///
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/// Refs.:
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/// [1] - Analytical Modeling is Enough for High Performance BLIS
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/// Tze Meng Low, Francisco D Igual, Tyler M Smith, Enrique S Quintana-Orti
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/// Technical Report, 2014
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/// http://www.cs.utexas.edu/users/flame/pubs/TOMS-BLIS-Analytical.pdf
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///
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/// @see ScheduleTreeOptimizer::createMicroKernel
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/// @see ScheduleTreeOptimizer::createMacroKernel
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/// @see getMicroKernelParams
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/// @see getMacroKernelParams
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///
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/// TODO: Implement the packing transformation.
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///
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/// @param Node The node that contains a band to be optimized. The node
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/// is required to successfully pass
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/// ScheduleTreeOptimizer::isMatrMultPattern.
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/// @param TTI Target Transform Info.
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/// @param MMI Parameters of the matrix multiplication operands.
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/// @returns The transformed schedule.
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static isl::schedule_node
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optimizeMatMulPattern(isl::schedule_node Node,
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const llvm::TargetTransformInfo *TTI,
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polly::MatMulInfoTy &MMI);
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/// Check if this node is a band node we want to tile.
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///
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/// We look for innermost band nodes where individual dimensions are marked as
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/// permutable.
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///
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/// @param Node The node to check.
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static bool isTileableBandNode(isl::schedule_node Node);
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/// Pre-vectorizes one scheduling dimension of a schedule band.
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///
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/// prevectSchedBand splits out the dimension DimToVectorize, tiles it and
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/// sinks the resulting point loop.
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///
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/// Example (DimToVectorize=0, VectorWidth=4):
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///
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/// | Before transformation:
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/// |
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/// | A[i,j] -> [i,j]
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/// |
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/// | for (i = 0; i < 128; i++)
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/// | for (j = 0; j < 128; j++)
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/// | A(i,j);
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///
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/// | After transformation:
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/// |
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/// | for (it = 0; it < 32; it+=1)
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/// | for (j = 0; j < 128; j++)
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/// | for (ip = 0; ip <= 3; ip++)
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/// | A(4 * it + ip,j);
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///
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/// The goal of this transformation is to create a trivially vectorizable
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/// loop. This means a parallel loop at the innermost level that has a
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/// constant number of iterations corresponding to the target vector width.
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///
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/// This transformation creates a loop at the innermost level. The loop has
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/// a constant number of iterations, if the number of loop iterations at
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/// DimToVectorize can be divided by VectorWidth. The default VectorWidth is
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/// currently constant and not yet target specific. This function does not
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/// reason about parallelism.
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static isl::schedule_node prevectSchedBand(isl::schedule_node Node,
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unsigned DimToVectorize,
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int VectorWidth);
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/// Apply additional optimizations on the bands in the schedule tree.
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///
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/// We are looking for an innermost band node and apply the following
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/// transformations:
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///
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/// - Tile the band
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/// - if the band is tileable
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/// - if the band has more than one loop dimension
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///
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/// - Prevectorize the schedule of the band (or the point loop in case of
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/// tiling).
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/// - if vectorization is enabled
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///
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/// @param Node The schedule node to (possibly) optimize.
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/// @param User A pointer to forward some use information
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/// (currently unused).
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static isl_schedule_node *optimizeBand(isl_schedule_node *Node, void *User);
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/// Apply additional optimizations on the bands in the schedule tree.
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///
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/// We apply the following
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/// transformations:
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///
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/// - Tile the band
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/// - Prevectorize the schedule of the band (or the point loop in case of
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/// tiling).
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/// - if vectorization is enabled
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///
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/// @param Node The schedule node to (possibly) optimize.
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/// @param User A pointer to forward some use information
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/// (currently unused).
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static isl::schedule_node standardBandOpts(isl::schedule_node Node,
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void *User);
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/// Check if this node contains a partial schedule that could
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/// probably be optimized with analytical modeling.
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///
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/// isMatrMultPattern tries to determine whether the following conditions
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/// are true:
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/// 1. the partial schedule contains only one statement.
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/// 2. there are exactly three input dimensions.
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/// 3. all memory accesses of the statement will have stride 0 or 1, if we
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/// interchange loops (switch the variable used in the inner loop to
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/// the outer loop).
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/// 4. all memory accesses of the statement except from the last one, are
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/// read memory access and the last one is write memory access.
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/// 5. all subscripts of the last memory access of the statement don't
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/// contain the variable used in the inner loop.
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/// If this is the case, we could try to use an approach that is similar to
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/// the one used to get close-to-peak performance of matrix multiplications.
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///
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/// @param Node The node to check.
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/// @param D The SCoP dependencies.
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/// @param MMI Parameters of the matrix multiplication operands.
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static bool isMatrMultPattern(isl::schedule_node Node,
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const polly::Dependences *D,
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polly::MatMulInfoTy &MMI);
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/// Create the BLIS macro-kernel.
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///
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/// We create the BLIS macro-kernel by applying a combination of tiling
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/// of dimensions of the band node and interchanging of two innermost
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/// modified dimensions. The values of of MacroKernelParams's fields are used
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/// as tile sizes.
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///
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/// @param Node The schedule node to be modified.
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/// @param MacroKernelParams Parameters of the macro kernel
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/// to be used as tile sizes.
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static isl::schedule_node
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createMacroKernel(isl::schedule_node Node,
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MacroKernelParamsTy MacroKernelParams);
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/// Create the BLIS macro-kernel.
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///
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/// We create the BLIS macro-kernel by applying a combination of tiling
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/// of dimensions of the band node and interchanging of two innermost
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/// modified dimensions. The values passed in MicroKernelParam are used
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/// as tile sizes.
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///
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/// @param Node The schedule node to be modified.
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/// @param MicroKernelParams Parameters of the micro kernel
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/// to be used as tile sizes.
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/// @see MicroKernelParamsTy
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static isl::schedule_node
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createMicroKernel(isl::schedule_node Node,
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MicroKernelParamsTy MicroKernelParams);
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};
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/// Build the desired set of partial tile prefixes.
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///
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/// We build a set of partial tile prefixes, which are prefixes of the vector
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/// loop that have exactly VectorWidth iterations.
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///
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/// 1. Drop all constraints involving the dimension that represents the
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/// vector loop.
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/// 2. Constrain the last dimension to get a set, which has exactly VectorWidth
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/// iterations.
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/// 3. Subtract loop domain from it, project out the vector loop dimension and
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/// get a set that contains prefixes, which do not have exactly VectorWidth
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/// iterations.
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/// 4. Project out the vector loop dimension of the set that was build on the
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/// first step and subtract the set built on the previous step to get the
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/// desired set of prefixes.
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///
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/// @param ScheduleRange A range of a map, which describes a prefix schedule
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/// relation.
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isl::set getPartialTilePrefixes(isl::set ScheduleRange, int VectorWidth);
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#endif // POLLY_SCHEDULEOPTIMIZER_H
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