TMATMUL_ACC

指令示意图

TMATMUL_ACC tile operation

简介

带累加器输入的矩阵乘法(融合累加)。

数学语义

Let:

  • M = aMatrix.GetValidRow()
  • K = aMatrix.GetValidCol()
  • N = bMatrix.GetValidCol()

For 0 <= i < M and 0 <= j < N:

\[ \mathrm{C1}_{i,j} = \mathrm{C0}_{i,j} + \sum_{k=0}^{K-1} \mathrm{A}_{i,k} \cdot \mathrm{B}_{k,j} \]

汇编语法

PTO-AS 形式:参见 PTO-AS Specification.

同步形式:

%acc1 = tmatmul.acc %acc0, %a, %b : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

AS Level 1 (SSA)

%c_out = pto.tmatmul.acc %c_in, %a, %b : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

AS Level 2 (DPS)

pto.tmatmul.acc ins(%c_in, %a, %b : !pto.tile_buf<...>, !pto.tile_buf<...>, !pto.tile_buf<...>) outs(%c_out : !pto.tile_buf<...>)

AS Level 1(SSA)

%c_out = pto.tmatmul.acc %c_in, %a, %b : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

AS Level 2(DPS)

pto.tmatmul.acc ins(%c_in, %a, %b : !pto.tile_buf<...>, !pto.tile_buf<...>, !pto.tile_buf<...>) outs(%c_out : !pto.tile_buf<...>)

C++ 内建接口

声明于 include/pto/common/pto_instr.hpp:

template <typename TileRes, typename TileLeft, typename TileRight, typename... WaitEvents>
PTO_INST RecordEvent TMATMUL_ACC(TileRes &cOutMatrix, TileRes &cInMatrix, TileLeft &aMatrix, TileRight &bMatrix, WaitEvents &... events);

template <AccPhase Phase, typename TileRes, typename TileLeft, typename TileRight, typename... WaitEvents>
PTO_INST RecordEvent TMATMUL_ACC(TileRes &cOutMatrix, TileRes &cInMatrix, TileLeft &aMatrix, TileRight &bMatrix, WaitEvents &... events);

template <AccPhase Phase = AccPhase::Unspecified, typename TileRes, typename TileLeft, typename TileRight,
          typename... WaitEvents>
PTO_INST RecordEvent TMATMUL_ACC(TileRes &cMatrix, TileLeft &aMatrix, TileRight &bMatrix, WaitEvents &... events);

约束

  • All constraints from TMATMUL apply to the (cOutMatrix, aMatrix, bMatrix) triple.
  • Implementation notes (A2A3/A5):
    • TMATMUL_ACC_IMPL uses aMatrix.GetValidRow(), aMatrix.GetValidCol(), and bMatrix.GetValidCol() for m/k/n.
    • cInMatrix is not validated by explicit assertions in the current implementations (target-defined behavior).

示例

自动(Auto)

#include <pto/pto-inst.hpp>

using namespace pto;

void example_auto() {
  using A = TileLeft<half, 16, 16>;
  using B = TileRight<half, 16, 16>;
  using C = TileAcc<float, 16, 16>;
  A a;
  B b;
  C c0, c1;
  TMATMUL_ACC(c1, c0, a, b);
}

手动(Manual)

#include <pto/pto-inst.hpp>

using namespace pto;

void example_manual() {
  using A = TileLeft<half, 16, 16>;
  using B = TileRight<half, 16, 16>;
  using C = TileAcc<float, 16, 16>;
  A a;
  B b;
  C c0, c1;
  TASSIGN(a, 0x1000);
  TASSIGN(b, 0x2000);
  TASSIGN(c0, 0x3000);
  TASSIGN(c1, 0x4000);
  TMATMUL_ACC(c1, c0, a, b);
}