TREMS

Tile Operation Diagram

Introduction

Elementwise remainder with a scalar: %.

Math Interpretation

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

$${\mathrm{d}\mathrm{s}\mathrm{t}}_{i,j}={\mathrm{s}\mathrm{r}\mathrm{c}}_{i,j}\mathrm{m}\mathrm{o}\mathrm{d}\mathrm{s}\mathrm{c}\mathrm{a}\mathrm{l}\mathrm{a}\mathrm{r}$$

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

Constraints

• Implementation checks (A2A3):
  • dst and src must use the same element type.
  • Supported element types are float, float32_t, 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.
• Implementation checks (A5):
  • dst and src must use the same element type.
  • Supported element types are 2-byte or 4-byte types supported by the target implementation.
  • dst and src must be vector tiles.
  • Static valid bounds must satisfy ValidRow <= Rows and ValidCol <= Cols for both tiles.
  • Runtime: dst.GetValidRow() == src.GetValidRow() and dst.GetValidCol() == src.GetValidCol().
• 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.

Examples

#include <pto/pto-inst.hpp>

using namespace pto;

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

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: resources must be bound 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<...>)