TTRI¶

Tile Operation Diagram¶

TTRI tile operation

Introduction¶

Generate a (lower/upper) triangular mask tile with ones and zeros. The triangular orientation is controlled by the compile-time template parameter isUpperOrLower (0 = lower, 1 = upper).

Math Interpretation¶

Let R = dst.GetValidRow() and C = dst.GetValidCol(). Let d = diagonal.

Lower-triangular (isUpperOrLower=0) conceptually produces:

\[ \mathrm{dst}_{i,j} = \begin{cases}1 & j \le i + d \\\\ 0 & \text{otherwise}\end{cases} \]

Upper-triangular (isUpperOrLower=1) conceptually produces:

\[ \mathrm{dst}_{i,j} = \begin{cases}0 & j < i + d \\\\ 1 & \text{otherwise}\end{cases} \]

C++ Intrinsic¶

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

template <typename TileData, int isUpperOrLower, typename... WaitEvents>
PTO_INST RecordEvent TTRI(TileData &dst, int diagonal, WaitEvents&... events);

Constraints¶

isUpperOrLower must be 0 (lower) or 1 (upper).
Destination tile must be row-major on some targets (see include/pto/npu/*/TTri.hpp).

Assembly Syntax¶

PTO-AS form: see PTO-AS Specification.

IR Level 1 (SSA)¶

%dst = pto.ttri %src0, %src1 : (!pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

IR Level 2 (DPS)¶

pto.ttri ins(%src0, %src1 : !pto.tile_buf<...>, !pto.tile_buf<...>) outs(%dst : !pto.tile_buf<...>)

Examples¶

See related examples in docs/isa/ and docs/coding/tutorials/.

ASM Form Examples¶

Auto Mode¶

# Auto mode: compiler/runtime-managed placement and scheduling.
%dst = pto.ttri %src0, %src1 : (!pto.tile<...>, !pto.tile<...>) -> !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.ttri %src0, %src1 : (!pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>

PTO Assembly Form¶

%dst = pto.ttri %src0, %src1 : (!pto.tile<...>, !pto.tile<...>) -> !pto.tile<...>
# IR Level 2 (DPS)
pto.ttri ins(%src0, %src1 : !pto.tile_buf<...>, !pto.tile_buf<...>) outs(%dst : !pto.tile_buf<...>)