Compute the same-type square root of every valid Local Tile element.
PTO-TILE-TSQRTTSQRT <LB0:ValidCol, LB1:ValidRow, LB2:Col, DataType, PadValue> SrcTile0 -> DstTile| Group | Operand | Role | ASL source |
|---|---|---|---|
| Parameter | LB0:ValidCol | dimension | B.DIM LB0=ValidCol |
| Parameter | LB1:ValidRow | dimension | B.DIM LB1=ValidRow (optional) |
| Parameter | LB2:Col | dimension | B.DIM LB2=Col (optional) |
| Parameter | DataType | data type | BSTART.SFU TSQRT, DataType |
| Parameter | PadValue | padding value | B.DATR PadValue (optional) |
| Input | SrcTile0 | persistent Local floating source | contract.operands[1].source0 |
| Output | DstTile | new Local floating destination | contract.operands[0].destination0 |
BSTART.SFU TSQRT, DataType
BSTART.SFU TSQRT, DataTypeRequiredB.DATR PadValue (optional)OptionalB.DIM LB0=ValidColRequiredRepeatableB.DIM LB1=ValidRow (optional)OptionalRepeatableB.DIM LB2=Col (optional)OptionalRepeatableB.IOT SrcTile, mask=PE_MASK, <last>, ->DstTile<TSize>RequiredBSTOPRequiredBSTART.SFU TSQRT, DataTypeB.DIM LB0=ValidColB.IOT SrcTile, mask=PE_MASK, <last>, ->DstTile<TSize>BSTOPBSTART.SFU TSQRT, DataType; B.DATR PadValue (optional); B.DIM LB0=ValidCol; B.DIM LB1=ValidRow (optional); B.DIM LB2=Col (optional); B.IOT SrcTile, mask=PE_MASK, <last>, ->DstTile<TSize>; BSTOP| Field | Bits | Signedness | Architectural role | Encoded zero |
|---|---|---|---|---|
DataType | 5 | encoding-defined | — | — |
Mode | 2 | encoding-defined | — | — |
Function | 5 | encoding-defined | — | — |
destination0 | — | — | new Local floating destination | — |
source0 | — | — | persistent Local floating source | — |
Loading WaveDrom diagram… The encoding table and WaveJSON remain available below.
| Decoded item | Bit range | Value |
|---|---|---|
| DataType | 31:27 | variable |
| Mode | 26:25 | variable |
| Function | 24:20 | variable |
| Constant | 19:0 | 20'b00011001000110000001 |
{
"reg": [
{
"bits": 20,
"name": "20'b00011001000110000001"
},
{
"bits": 5,
"name": "Function"
},
{
"bits": 2,
"name": "Mode"
},
{
"bits": 5,
"name": "DataType"
}
],
"config": {
"bits": 32,
"fontsize": 13,
"hspace": 900,
"lanes": 1,
"offset": 0
}
}BSTART.TEPL Mode, Function, DataType
destination0source0This Operation comes directly from the instruction owner; the page does not rewrite its behavior.
readonly func InstructionContractOperation_TSQRT() => TileOperationbegin return TileOperation_TSQRT;end;pure func InstructionContractDataTypeLegal_TSQRT( data_type: TileDataType) => booleanbegin return TileUnaryDataTypeSupported( TileUnary_SQRT, data_type);end;
readonly func InstructionContractOperandsLegal_TSQRT( destination: TileIndex, source: TileIndex) => booleanbegin return TileOperandsLegal_ExecuteTileUnary( TileUnary_SQRT, destination, source);end;
readonly func InstructionContractHandler_TSQRT() => TileSemanticHandlerbegin return TileHandler_ExecuteTileUnary;end;
func InstructionContractExecute_TSQRT( destination: TileIndex, source: TileIndex)begin assert InstructionContractOperandsLegal_TSQRT( destination, source); ExecuteTileUnary( TileUnary_SQRT, destination, source);end;// PTO-INSTRUCTION: {"assembly":["TSQRT <bundle operands>"],"block":["BSTART.SFU TSQRT, DataType","B.DATR PadValue (optional)","B.DIM LB0=ValidCol","B.DIM LB1=ValidRow (optional)","B.DIM LB2=Col (optional)","B.IOT SrcTile, mask=PE_MASK, <last>, ->DstTile<TSize>","BSTOP"],"catalog_indices":[19],"catalog_records":[{"arguments":[{"constant":"TileUnary_SQRT"},{"operand":"destination0"},{"operand":"source0"}],"command_mnemonic":"BSTART.TEPL","contract_status":"reviewed-complete","datr_contract":{"allowed_nonzero_fields":["PadValueOrByteId"],"pad_union":"pad-value"},"disposition":"accepted-direct-operation","effect_contract":"ExecuteTileUnary","family":"TEPL","fault_contract":"ExecuteTileInstruction","function":21,"legality_handler":"TileOperandsLegal_ExecuteTileUnary","mode":0,"name":"TSQRT","operands":[{"field":"destination0","role":"new Local floating destination"},{"field":"source0","role":"persistent Local floating source"}],"restart_contract":"CompleteBundleAtWithAcceptedApplicabilityRules","selector":"0x015","semantic_handler":"ExecuteTileUnary","state_effects":["operand:destination0:new-local-floating-destination","operand:source0:persistent-local-floating-source","runtime:CurrentBundlePadValue:numeric-padding","runtime:NumericStatusFlags:profile-status"]}],"classification":["elementwise-tile-tile","transcendental"],"contract":{"block_composition":["BSTART.SFU TSQRT, DataType","B.DATR PadValue (optional)","B.DIM LB0=ValidCol","B.DIM LB1=ValidRow (optional)","B.DIM LB2=Col (optional)","B.IOT SrcTile, mask=PE_MASK, <last>, ->DstTile<TSize>","BSTOP"],"canonical_assembly":["TSQRT <bundle operands>"],"defaults":["LB0 is required and supplies nonzero ValidCol. Omitted LB1 selects ValidRow=1. Omitted LB2 selects Col=ValidCol; every explicitly present dimension must be nonzero.","Omitted B.DATR selects PadValue=Null. Explicit PadValue 00, 01, 10, and 11 select Zero, Max, Min, and Null.","The selected numeric profile supplies the operation-fixed approximation, rounding, exceptional result, and exact NV/DZ/OF/UF/NX status vector."],"encoding_class":"selector-encoded-block-operation","examples":["BSTART.SFU TSQRT, DataType; B.DATR PadValue (optional); B.DIM LB0=ValidCol; B.DIM LB1=ValidRow (optional); B.DIM LB2=Col (optional); B.IOT SrcTile, mask=PE_MASK, <last>, ->DstTile<TSize>; BSTOP"],"exceptions":["Malformed Local bindings, B.IOR or B.IOS presence, missing or zero dimensions, unsupported DataType, undefined or invalid source encoding, descriptor mismatch, invalid capacity, or allocation failure raises the applicable Tile fault before effects.","Square root preserves signed zero and positive infinity; a negative nonzero value reports invalid and produces quiet NaN; signaling NaN also records invalid."],"field_contracts":{"B.DATR.PadValueOrByteId":{"ref":"PTO-FIELD-BLOCK-PADVALUE-OR-BYTEID"}},"field_zero_meanings":{"B.DATR.PadValueOrByteId":"Zero padding when B.DATR is present; omission selects Null."},"legality":["TSQRT retains its TEPL raw Mode 0 carrier and executes canonically on the SFU engine.","Exactly one terminating Local B.IOT supplies one persistent source and one newly allocated destination. B.IOR and B.IOS are illegal.","The selected DataType is exactly FP16, FP32, or BF16; every integer, exponent-only, other compact, packed, assigned-but-inapplicable, or reserved DataType rejects before effects.","Source and destination match physical shape, valid shape, row-major layout, and DataType. Every valid source element is defined and has a valid encoding.","PadValueOrByteId is the only applicable B.DATR field; nondefault CMode, Sat, Canonicalize, secondary DataType, RMode, or Layout is illegal.","Source and destination use one PE_MASK. PE_MASK=0000 is a strict no-op before descriptor reads, allocation, faults, numeric status, or payload effects."],"memory_effects":["none"],"operands":[{"field":"destination0","role":"new Local floating destination"},{"field":"source0","role":"persistent Local floating source"}],"ordering":["Complete schema, attribute, dimension, type, descriptor, source-definedness, source-encoding, mask, capacity, and allocation preflight precedes the source snapshot and profile evaluation.","The complete source payload is snapshotted before destination publication, so source/destination aliasing observes the old source value."],"standalone_opcode":false,"state_effects":["For each valid element compute the selected profile's same-type square root.","Accumulate all element status flags, apply selected physical padding, and publish payload, definedness, numeric status, and destination descriptor atomically; rejection leaves architectural state unchanged."]},"depends_on":["PTO-BLOCK-MODEL-SCHEMA-PROFILE-ENCODING"],"engine":"SFU","id":"PTO-TILE-TSQRT","mnemonic":"TSQRT","summary":"Compute the same-type square root of every valid Local Tile element.","surface":"tile"}// PTO-REVIEW: {"review_method":"formal-definition-read","outcome":"FORMAL-COMPLETE","reviewed_fields":["assembly","encoding","defaults","operation","state","memory","ordering","faults","reserved"]}// NDF-BEGIN: PTO-TSQRT-CONTRACT-001// ndf: kind=contract level=L1 layer=tile status=accepted// TSQRT MUST retain TEPL Mode 0 Function 21 while executing on SFU. It MUST// consume one persistent Local floating source and one renamed same-type// destination, preserve signed zero, preserve positive infinity where the// format provides it, and report invalid with quiet NaN for negative nonzero// inputs. Type, dimension, PadValue, preflight, snapshot, status, padding,// and atomic-publication rules form one closed operation.// NDF-END: PTO-TSQRT-CONTRACT-001// DOC-BEGIN: decodereadonly func InstructionContractOperation_TSQRT() => TileOperationbegin return TileOperation_TSQRT;end;// DOC-END: decode// DOC-BEGIN: operationpure func InstructionContractDataTypeLegal_TSQRT( data_type: TileDataType) => booleanbegin return TileUnaryDataTypeSupported( TileUnary_SQRT, data_type);end;
readonly func InstructionContractOperandsLegal_TSQRT( destination: TileIndex, source: TileIndex) => booleanbegin return TileOperandsLegal_ExecuteTileUnary( TileUnary_SQRT, destination, source);end;
readonly func InstructionContractHandler_TSQRT() => TileSemanticHandlerbegin return TileHandler_ExecuteTileUnary;end;
func InstructionContractExecute_TSQRT( destination: TileIndex, source: TileIndex)begin assert InstructionContractOperandsLegal_TSQRT( destination, source); ExecuteTileUnary( TileUnary_SQRT, destination, source);end;// DOC-END: operation
TSQRT computes a same-type square root for every valid element and publishes a new Local destination.
The operation evaluates only the valid rectangle using the mnemonic-selected typed element rule.
Floating results and element status follow the active named numeric profile; the portable contract owns selection, shape, publication, and fault order.
destination0 identifies a newly allocated destination.source0 supplies a persistent source Tile.FP16, FP32, BF16.LB0, LB1, and LB2 complete the valid and physical shape according to this mnemonic’s contract; every required valid extent is nonzero.All source descriptors and payloads are validated and snapshotted before destination publication.
The complete destination payload, descriptor, definedness, padding state, and applicable numeric status publish atomically; rejection publishes none.
Null padding leaves physical coordinates outside the valid rectangle undefined; an explicit non-Null PadValue defines those coordinates with the selected typed value.
Source Tiles persist and are not modified by successful execution.
Complete binding schema, dimensions, DataType, layout, source definedness, numeric encoding, destination capacity, and allocation are preflighted before effects.
A failed legality or allocation check raises the applicable Tile fault without partial destination, status, or memory effects.
PE_MASK=0000 is a strict no-op before operand reads, allocation, faults, numeric status, or payload effects.
This example illustrates the current ASL-bound contract and is not a second instruction definition.
TSQRT <bundle operands> performs complete preflight and source snapshotting before atomically publishing the mnemonic-defined result and padding state.
Bodies come from owning ASL. Dragging or buttons change only this page-session view order.
TSQRT MUST retain TEPL Mode 0 Function 21 while executing on SFU. It MUST consume one persistent Local floating source and one renamed same-type destination, preserve signed zero, preserve positive infinity where the format provides it, and report invalid with quiet NaN for negative nonzero inputs. Type, dimension, PadValue, preflight, snapshot, status, padding, and atomic-publication rules form one closed operation.
PTO-TSQRT-CONTRACT-001asl/tile/elementwise-tile-tile/transcendental/TSQRT.asle135fe26ffe25456490810f47b9cc4de324fb4673d981654539c4496d9454204ba8cc461ebb14135ae3073cf4dbde45e6e4876b5ea0b3746ed5432cbfe6b32d015 matching entries
PTO-AVS-TILE-TSQRT-ALIAS-001tests/asl/tile/elementwise-tile-tile/transcendental/TSQRT/tile-order-tsqrt-alias-001.aslf6ef2fc8713f8786f3e7109d814c7a9ee204279094127bf32f49e00582b04a05PTO-AVS-TILE-TSQRT-NEGATIVE-001tests/asl/tile/elementwise-tile-tile/transcendental/TSQRT/tile-exec-tsqrt-negative-001.asl7f27073218c9c8a656746f339597f5d6ba006230d232e0a8298b6fc9928e09b9PTO-AVS-TILE-TSQRT-PADDING-001tests/asl/tile/elementwise-tile-tile/transcendental/TSQRT/tile-state-tsqrt-padding-001.asl85734032031f7bbc843206826f41ddb3009270c083f977a7f5a92c6b4e9b8b47PTO-AVS-TILE-TSQRT-STATIC-001tests/asl/tile/elementwise-tile-tile/transcendental/TSQRT/tile-static-tsqrt-contract-001.aslc2d41836b3edeca201876b27b592da80e301a37d530aea3c22c95169c8c6330ePTO-AVS-TILE-TSQRT-TYPES-001tests/asl/tile/elementwise-tile-tile/transcendental/TSQRT/tile-bound-tsqrt-types-001.aslb958d0a601659c06e8bee985ef69ccc6cad4f4c0808c1c052c1bb296196715d0PTO-EVIDENCE-RELEASE-TRACEABILITYPTO-EVIDENCE-RELEASE-TRACEABILITYspec/evidence/release-traceability-readiness.jsonc7327021d39dc67ac5564bc55073b3870a397d79ac8d9648284d56e33bc14a3ePTO-EVIDENCE-INSTRUCTION-CONTRACT-CLOSUREPTO-EVIDENCE-INSTRUCTION-CONTRACT-CLOSUREspec/evidence/instruction-contract-closure.json3ef2bb62421c79dff8fa77a1c7983923b523244b8090812883ef81286ca8106aPTO-EVIDENCE-ARCHITECTURE-READINESSPTO-EVIDENCE-ARCHITECTURE-READINESSspec/evidence/architecture-readiness.json4b0b85199101251bea744e0f3591cc31906909dc80d5ab651c417a936036a004PTO-EVIDENCE-RELEASE-GATE-READINESSPTO-EVIDENCE-RELEASE-GATE-READINESSspec/evidence/release-gate-readiness.jsona0f4d2b6920c08981ea55fd8ef820708a40d4feb5402c5150e8e9ab532d84ce0PTO-EVIDENCE-RELEASE-MANIFESTPTO-EVIDENCE-RELEASE-MANIFESTspec/release-manifest.json1a64c109ed7a90351c41e2a418b3c0ebaf8ad975838986d2101385186b85c0d8Loading ADR-0035…
ADR-0035docs/status/decisions/0035-vec-sfu-carrier-totality.md41f8b83397773a166978831f314557629abe0a5bad906648456dec78198c910eLoading ADR-0052…
ADR-0052docs/status/decisions/0052-direct-tile-and-bundle-catalog-closure.md5fdb38bf480e37affe5075f93b35a57d32803018c986bfe05160f188a19ccaf6Loading ADR-0057…
ADR-0057docs/status/decisions/0057-tile-classification-and-engine-aliases.mdb812b5d70b7e6749b2772d5b4b23ed790aa62c915452392b4552a5ac056cad78Loading ADR-0059…
ADR-0059docs/status/decisions/0059-mnemonic-field-encoding-closure.mdf18d13f735cfaf9f2803c754c5818f4af33d1cc42c489f0d9ce060b07bb3a196Loading ADR-0080…
ADR-0080docs/status/decisions/0080-tile-elementwise-and-irregular-operations.md3f6aed3e2ac792a75e46787be99eb8c1d5ce204b098f531aa9fcb80b87448d72{
"classification": [
"elementwise-tile-tile",
"transcendental"
],
"documentation": "docs/tile/elementwise-tile-tile/transcendental/TSQRT.md",
"id": "PTO-TILE-TSQRT",
"instruction_contract": {
"artifact": "spec/evidence/instruction-contract-closure.json",
"mnemonic": "TSQRT",
"ndf_clause": "PTO-INST-TILE-TSQRT"
},
"mnemonic": "TSQRT",
"readiness_subjects": [
"ADR-0035",
"ADR-0052",
"ADR-0057",
"ADR-0059",
"ADR-0080"
],
"semantic_tests": [
"PTO-AVS-TILE-TSQRT-ALIAS-001",
"PTO-AVS-TILE-TSQRT-NEGATIVE-001",
"PTO-AVS-TILE-TSQRT-PADDING-001",
"PTO-AVS-TILE-TSQRT-TYPES-001"
],
"source": "asl/tile/elementwise-tile-tile/transcendental/TSQRT.asl",
"surface": "tile",
"tests": [
"PTO-AVS-TILE-TSQRT-ALIAS-001",
"PTO-AVS-TILE-TSQRT-NEGATIVE-001",
"PTO-AVS-TILE-TSQRT-PADDING-001",
"PTO-AVS-TILE-TSQRT-STATIC-001",
"PTO-AVS-TILE-TSQRT-TYPES-001"
]
}0.58.5 · Release candidate7dc8b7e5b121d2b2499a2273bebff29e2cd86812e135fe26ffe25456490810f47b9cc4de324fb4673d981654539c4496d945420491395eb4ace9333c1d01ed9e60ebc0a4dda9a9f3c291bbf8c57d10c8dbcc98daasl/tile/elementwise-tile-tile/transcendental/TSQRT.aslasl/tile/elementwise-tile-tile/transcendental/TSQRT.aslasl/tile/elementwise-tile-tile/transcendental/TSQRT.asl