TPOW

Tile Operation Diagram

TPOW tile operation

Introduction

Elementwise power operation: computes base raised to the power of exp for each element.

Math Interpretation

For each element (i, j) in the valid region:

\[ \mathrm{dst}_{i,j} = \mathrm{base}_{i,j}^{\mathrm{exp}_{i,j}} \]

For floating-point types, the computation follows: dst = exp(ln(|base|) * exp) with special case handling for negative base values and integer exponents.

Assembly Syntax

PTO-AS form: see PTO-AS Specification.

Synchronous form:

%dst = tpow %base, %exp, %tmp : !pto.tile<...>

AS Level 1 (SSA)

%dst = pto.tpow %base, %exp, %tmp : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

AS Level 2 (DPS)

pto.tpow ins(%base, %exp, %tmp : !pto.tile_buf<...>, !pto.tile_buf<...>, !pto.tile_buf<...>) outs(%dst : !pto.tile_buf<...>)

C++ Intrinsic

Declared in include/pto/common/pto_instr.hpp:

template <auto PrecisionType = PowAlgorithm::DEFAULT, typename DstTile, typename BaseTile, typename ExpTile,
          typename TmpTile, typename... WaitEvents>
PTO_INTERNAL RecordEvent TPOW(DstTile &dst, BaseTile &base, ExpTile &exp, TmpTile &tmp, WaitEvents &... events);

PrecisionType has the following values available:

  • PowAlgorithm::DEFAULT: Normal algorithm, faster but with lower precision.
  • PowAlgorithm::HIGH_PRECISION: High precision algorithm, but slower.

Constraints

General Constraints

  • dst, base, and exp must all be TileType::Vec.
  • All tiles must use row-major layout (TileData::isRowMajor).
  • dst, base, and exp must have the same element type.
  • Static valid bounds: TileData::ValidRow <= TileData::Rows and TileData::ValidCol <= TileData::Cols.
  • Runtime valid region checks:
    • dst.GetValidRow() == base.GetValidRow()
    • dst.GetValidCol() == base.GetValidCol()
    • dst.GetValidRow() == exp.GetValidRow()
    • dst.GetValidCol() == exp.GetValidCol()
  • The intrinsic signature requires an explicit tmp operand.

A2A3 Implementation Checks

  • Supported element types: int32_t, int16_t, int8_t, uint32_t, uint16_t, uint8_t, float.
  • HIGH_PRECISION algorithm is not supported on A2A3; PrecisionType option is ignored.
  • Additional runtime valid region checks for tmp:
    • dst.GetValidRow() == tmp.GetValidRow()
    • dst.GetValidCol() == tmp.GetValidCol()

A5 Implementation Checks

  • For DEFAULT algorithm: supported element types are uint8_t, int8_t, uint16_t, int16_t, uint32_t, int32_t, half, float, bfloat16_t.
  • For HIGH_PRECISION algorithm: supported element types are half, float, bfloat16_t (floating-point only).
  • Integer types use a separate integer power computation path.

Examples

Auto

#include <pto/pto-inst.hpp>

using namespace pto;

void example_auto() {
  using TileT = Tile<TileType::Vec, float, 16, 16>;
  TileT base, exp, dst, tmp;
  TPOW(dst, base, exp, tmp);
  TPOW<PowAlgorithm::HIGH_PRECISION>(dst, base, exp, tmp);
}

Manual

#include <pto/pto-inst.hpp>

using namespace pto;

void example_manual() {
  using TileT = Tile<TileType::Vec, float, 16, 16>;
  TileT base, exp, dst, tmp;
  TASSIGN(base, 0x1000);
  TASSIGN(exp, 0x2000);
  TASSIGN(dst, 0x3000);
  TASSIGN(tmp, 0x4000);
  TPOW(dst, base, exp, tmp);
}

ASM Form Examples

Auto Mode

# Auto mode: compiler/runtime-managed placement and scheduling.
%dst = pto.tpow %base, %exp, %tmp : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

Manual Mode

# Manual mode: resources must be bound explicitly before issuing the instruction.
# Optional for tile operands:
# pto.tassign %arg0, @tile(0x1000)
# pto.tassign %arg1, @tile(0x2000)
# pto.tassign %arg2, @tile(0x3000)
%dst = pto.tpow %base, %exp, %tmp : (!pto.tile<...>, !pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

PTO Assembly Form

%dst = tpow %base, %exp, %tmp : !pto.tile<...>
# AS Level 2 (DPS)
pto.tpow ins(%base, %exp, %tmp : !pto.tile_buf<...>, !pto.tile_buf<...>, !pto.tile_buf<...>) outs(%dst : !pto.tile_buf<...>)