TDIVS

指令示意图

TDIVS tile operation

简介

与标量的逐元素除法（Tile/标量 或 标量/Tile）。

数学语义

对每个元素 (i, j) 在有效区域内：

  • Tile/scalar:

$$ \mathrm{dst}{i,j} = \frac{\mathrm{src}{i,j}}{\mathrm{scalar}} $$

  • Scalar/tile:

$$ \mathrm{dst}{i,j} = \frac{\mathrm{scalar}}{\mathrm{src}{i,j}} $$

汇编语法

PTO-AS 形式：参见 PTO-AS Specification.

Tile/scalar form:

%dst = tdivs %src, %scalar : !pto.tile<...>, f32

Scalar/tile form:

%dst = tdivs %scalar, %src : f32, !pto.tile<...>

AS Level 1 (SSA)

%dst = pto.tdivs %src, %scalar : (!pto.tile<...>, dtype) -> !pto.tile<...>
%dst = pto.tdivs %scalar, %src : (dtype, !pto.tile<...>) -> !pto.tile<...>

AS Level 2 (DPS)

pto.tdivs ins(%src, %scalar : !pto.tile_buf<...>, dtype) outs(%dst : !pto.tile_buf<...>)
pto.tdivs ins(%scalar, %src : dtype, !pto.tile_buf<...>) outs(%dst : !pto.tile_buf<...>)

AS Level 1（SSA）

%dst = pto.tdivs %src, %scalar : (!pto.tile<...>, dtype) -> !pto.tile<...>
%dst = pto.tdivs %scalar, %src : (dtype, !pto.tile<...>) -> !pto.tile<...>

AS Level 2（DPS）

pto.tdivs ins(%src, %scalar : !pto.tile_buf<...>, dtype) outs(%dst : !pto.tile_buf<...>)
pto.tdivs ins(%scalar, %src : dtype, !pto.tile_buf<...>) outs(%dst : !pto.tile_buf<...>)

C++ 内建接口

声明于 include/pto/common/pto_instr.hpp:

template <typename TileDataDst, typename TileDataSrc, typename... WaitEvents>
PTO_INST RecordEvent TDIVS(TileDataDst &dst, TileDataSrc &src0, typename TileDataSrc::DType scalar, WaitEvents &... events);

template <typename TileDataDst, typename TileDataSrc, typename... WaitEvents>
PTO_INST RecordEvent TDIVS(TileDataDst &dst, typename TileDataDst::DType scalar, TileDataSrc &src0, WaitEvents &... events);

约束

  • 实现检查 (A2A3) (both overloads):
    • TileData::DType must be one of: int32_t, int, int16_t, half, float16_t, float, float32_t.
    • Tile location must be vector (TileData::Loc == TileType::Vec).
    • Static valid bounds: TileData::ValidRow <= TileData::Rows and TileData::ValidCol <= TileData::Cols.
    • Runtime: src0.GetValidRow() == dst.GetValidRow() and src0.GetValidCol() == dst.GetValidCol().
    • Tile 布局 must be row-major (TileData::isRowMajor).
  • 实现检查 (A5) (both overloads):
    • TileData::DType must be one of: uint8_t, int8_t, uint16_t, int16_t, uint32_t, int32_t, half, float.
    • Tile location must be vector (TileData::Loc == TileType::Vec).
    • Static valid bounds: TileData::ValidRow <= TileData::Rows and TileData::ValidCol <= TileData::Cols.
    • Runtime: src0.GetValidRow() == dst.GetValidRow() and src0.GetValidCol() == dst.GetValidCol().
    • Tile 布局 must be row-major (TileData::isRowMajor).
  • 有效区域:
    • The op uses dst.GetValidRow() / dst.GetValidCol() as the iteration domain.
  • Division-by-zero:
    • Behavior is target-defined; on A5 the tile/scalar form maps to multiply-by-reciprocal and uses 1/0 -> +inf for scalar == 0.

示例

自动（Auto）

#include <pto/pto-inst.hpp>

using namespace pto;

void example_auto() {
  using TileT = Tile<TileType::Vec, float, 16, 16>;
  TileT src, dst;
  TDIVS(dst, src, 2.0f);
}

手动（Manual）

#include <pto/pto-inst.hpp>

using namespace pto;

void example_manual() {
  using TileT = Tile<TileType::Vec, float, 16, 16>;
  TileT src, dst;
  TASSIGN(src, 0x1000);
  TASSIGN(dst, 0x2000);
  TDIVS(dst, 2.0f, src);
}