TREMS

Tile Operation Diagram

TREMS tile operation

Introduction

Elementwise remainder with a scalar: %.

Math Interpretation

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

\[\mathrm{dst}_{i,j} = \mathrm{src}_{i,j} \bmod \mathrm{scalar}\]

Assembly Syntax

PTO-AS form: see PTO-AS Specification.

Synchronous form:

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

AS Level 1 (SSA)

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

AS Level 2 (DPS)

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

C++ Intrinsic

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

template <typename TileDataDst, typename TileDataSrc, typename TileDataTmp, typename... WaitEvents>
PTO_INST RecordEvent TREMS(TileDataDst &dst, TileDataSrc &src, typename TileDataSrc::DType scalar,
                           TileDataTmp &tmp, WaitEvents &... events);

Constraints

  • Implementation Checks (A2A3):
    • dst and src must use the same element type.
    • Supported element types: float and int32_t.
    • dst and src must be vector tiles.
    • dst and src must be row-major.
    • Runtime: dst.GetValidRow() == src.GetValidRow() > 0 and dst.GetValidCol() == src.GetValidCol() > 0.
    • tmp Buffer Requirements:
    • tmp.GetValidCol() >= dst.GetValidCol() (at least as many columns as dst)
    • tmp.GetValidRow() >= 1 (at least 1 row)
    • Data type must match TileDataDst::DType.
  • Implementation Checks (A5):
    • dst and src must use the same element type.
    • Supported element types: float, int32_t, uint32_t, half, int16_t, and uint16_t.
    • dst and src must be vector tiles.
    • Static valid bounds: ValidRow <= Rows and ValidCol <= Cols for both tiles.
    • Runtime: dst.GetValidRow() == src.GetValidRow() and dst.GetValidCol() == src.GetValidCol().
    • Note: tmp parameter is accepted but not validated or used on A5.
  • Division by Zero:
    • Behavior is target-defined; the CPU simulator asserts in debug builds.
  • Valid Region:
    • The op uses dst.GetValidRow() / dst.GetValidCol() as the iteration domain.
  • For int32_t Inputs (A2A3 Only): Both src elements and scalar must be in the range [-2^24, 2^24] (i.e., [-16777216, 16777216]) to ensure exact conversion to float32 during computation.

Examples

#include <pto/pto-inst.hpp>

using namespace pto;

void example() {
  using TileT = Tile<TileType::Vec, float, 16, 16>;
  TileT x, out;
  Tile<TileType::Vec, float, 16, 16> tmp;
  TREMS(out, x, 3.0f, tmp);
}

ASM Form Examples

Auto Mode

# Auto mode: compiler/runtime-managed placement and scheduling.
%dst = pto.trems %src, %scalar : (!pto.tile<...>, dtype) -> !pto.tile<...>

Manual Mode

# Manual mode: bind resources explicitly before issuing the instruction.
# Optional for tile operands:
# pto.tassign %arg0, @tile(0x1000)
# pto.tassign %arg1, @tile(0x2000)
%dst = pto.trems %src, %scalar : (!pto.tile<...>, dtype) -> !pto.tile<...>

PTO Assembly Form

%dst = trems %src, %scalar : !pto.tile<...>, f32
# AS Level 2 (DPS)
pto.trems ins(%src, %scalar : !pto.tile_buf<...>, dtype) outs(%dst : !pto.tile_buf<...>)