Every valid finite floating or scale encoding MUST decompose without host
floating-point arithmetic into available, sign, integer significand, and
integer exponent such that its exact value is
(-1)^sign * UInt(significand) * 2^exponent. Invalid internal encodings,
infinities, NaNs, and integer Tile DataTypes MUST report unavailable.
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Sources and references Complete stable ID PTO-NUMERIC-FINITE-DECOMPOSITION-001Source path asl/arch/data-types/numeric-formats.aslAffected units PTO-ARCH-DATA-TYPES-NUMERIC-FORMATS Source SHA-256 101bbe4d0efa238d214cdf20cb2f9b7a413f86aa12ff1ae1be9638c4ade90c8dClause SHA-256 bdffd42ab571a4627c020005aa1209162ae9149a2c29a11026a172c29e569c42Open exact canonical source ↗ Instruction and unit pages Evidence index Search evidence by identity or path Expand groups Collapse groups
27 matching entries
Executable evidence 17 BF16 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-BF16 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-BF16-DECOMP-001Path tests/asl/arch/data-types/formats/bf16/arch-bound-bf16-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 0365cd116d6e360bc1dea6039b3adab8593befce550a249064f8d8bbb4d15892Open exact source ↗ for PTO-AVS-ARCH-BF16-DECOMP-001 PTO-ARCH-DATA-TYPES-NUMERIC-FORMATS compiles as an independent normative unit surface ARCH owner PTO-ARCH-DATA-TYPES-NUMERIC-FORMATS category STATIC-INVARIANT case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-DATA-TYPES-NUMERIC-FORMATS-STATIC-001Path tests/asl/arch/data-types/numeric-formats/arch-static-numeric-formats-contract-001.aslKind / role static-invariant Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition the complete model and this unit's static invariant compile SHA-256 e6738ca59f37ba185651eb5ff47cb0a81af55a65c777e4fe14bb0fb5bf077c4dOpen exact source ↗ for PTO-AVS-ARCH-DATA-TYPES-NUMERIC-FORMATS-STATIC-001 E1M2X2 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-E1M2X2 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-E1M2X2-DECOMP-001Path tests/asl/arch/data-types/formats/e1m2x2/arch-bound-e1m2x2-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 9e2a311c3d634ca04a1dd6c34207350941bcdc1917cb5f2e73ee4479d7a7da52Open exact source ↗ for PTO-AVS-ARCH-E1M2X2-DECOMP-001 E2M1X2 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-E2M1X2 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-E2M1X2-DECOMP-001Path tests/asl/arch/data-types/formats/e2m1x2/arch-bound-e2m1x2-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 db698d1b685e9f471ba4a645ef2c71074409a5870be0ee51fc893771037f7d44Open exact source ↗ for PTO-AVS-ARCH-E2M1X2-DECOMP-001 E2M3 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-E2M3 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-E2M3-DECOMP-001Path tests/asl/arch/data-types/formats/e2m3/arch-bound-e2m3-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 7246c364910390b5295c75c485ae7b28394678d8e292eed3ab525300aaad0e8eOpen exact source ↗ for PTO-AVS-ARCH-E2M3-DECOMP-001 E3M2 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-E3M2 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-E3M2-DECOMP-001Path tests/asl/arch/data-types/formats/e3m2/arch-bound-e3m2-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 e942008d7104703a8ee6e304e04dcca247d221b2a2a5f536a86cbcbb1bef2b93Open exact source ↗ for PTO-AVS-ARCH-E3M2-DECOMP-001 E4M3 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-E4M3 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-E4M3-DECOMP-001Path tests/asl/arch/data-types/formats/e4m3/arch-bound-e4m3-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 fefdb43f96bc09e0d33caeb9f35974ceafbfe71e8a3cf973c11991e0675e9a12Open exact source ↗ for PTO-AVS-ARCH-E4M3-DECOMP-001 E5M2 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-E5M2 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-E5M2-DECOMP-001Path tests/asl/arch/data-types/formats/e5m2/arch-bound-e5m2-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 9745706b5e7a10d79b339a0cc33000683dfb8ea7d66a42f95117ae033727b2f7Open exact source ↗ for PTO-AVS-ARCH-E5M2-DECOMP-001 E8M0 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-E8M0 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-E8M0-DECOMP-001Path tests/asl/arch/data-types/formats/e8m0/arch-bound-e8m0-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 d20f3428e308a827e0e46c767bcc5cd2ab667090bb87fe87e8d44838124bb52aOpen exact source ↗ for PTO-AVS-ARCH-E8M0-DECOMP-001 FP16 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-FP16 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-FP16-DECOMP-001Path tests/asl/arch/data-types/formats/fp16/arch-bound-fp16-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 a550875163e6eb9906daa7056488a041b5a5fdf18efcfaacfb3ed217ea4c8ef1Open exact source ↗ for PTO-AVS-ARCH-FP16-DECOMP-001 FP32 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-FP32 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-FP32-DECOMP-001Path tests/asl/arch/data-types/formats/fp32/arch-bound-fp32-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 e763f8d37a2fe64dda3bf18368ff96109fa79723763c2a2eb8dbc9d7d582d7dbOpen exact source ↗ for PTO-AVS-ARCH-FP32-DECOMP-001 FP64 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-FP64 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-FP64-DECOMP-001Path tests/asl/arch/data-types/formats/fp64/arch-bound-fp64-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 3b7db0a37c8f559843133794170f537da60226be7a810781e19068347e590634Open exact source ↗ for PTO-AVS-ARCH-FP64-DECOMP-001 HF32 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-HF32 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-HF32-DECOMP-001Path tests/asl/arch/data-types/formats/hf32/arch-bound-hf32-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 cef393390518bc68c53ecaf8e61e663dfedb39fe6be9b185d658678334f674e7Open exact source ↗ for PTO-AVS-ARCH-HF32-DECOMP-001 HiF4X2 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-HIF4X2 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-HIF4X2-DECOMP-001Path tests/asl/arch/data-types/formats/hif4x2/arch-bound-hif4x2-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 d18caabbe5124c6ee837f6efcaeb40c4271a3f6f3331927aba34d61f1195082fOpen exact source ↗ for PTO-AVS-ARCH-HIF4X2-DECOMP-001 HiF8 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-HIF8 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-HIF8-DECOMP-001Path tests/asl/arch/data-types/formats/hif8/arch-bound-hif8-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 12250e47f7ee38605ce521d2db8c778afd485227af4e450ad82194d08a15eb16Open exact source ↗ for PTO-AVS-ARCH-HIF8-DECOMP-001 The numeric-format API covers every floating and scale type and excludes integer types. surface ARCH owner PTO-ARCH-DATA-TYPES-NUMERIC-FORMATS category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-NUMERIC-FORMATS-DOMAIN-001Path tests/asl/arch/data-types/numeric-formats/arch-bound-numeric-formats-domain-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001, PTO-NUMERIC-FORMAT-DESCRIPTOR-001 Pass condition All fifteen descriptors are available, all ten integer descriptors are unavailable, and capability flags agree with the numeric profile. SHA-256 c7b1f56fb35f44e0e50f09f523979d377ca88f340f1b3f10f874de6ebfe9e9e0Open exact source ↗ for PTO-AVS-ARCH-NUMERIC-FORMATS-DOMAIN-001 TF32 exposes its exact descriptor and finite-value decomposition. surface ARCH owner PTO-ARCH-DATA-TYPES-FORMAT-TF32 category BOUNDARY case 001 Copy ID
Show exact test source Sources and references Complete stable ID PTO-AVS-ARCH-TF32-DECOMP-001Path tests/asl/arch/data-types/formats/tf32/arch-bound-tf32-decomp-001.aslKind / role boundary Requirements PTO-NUMERIC-FINITE-DECOMPOSITION-001 Pass condition Field metadata, finite boundaries, unavailable special values, and existing value-class rules agree. SHA-256 2b011596bc0e6d292dcee10a65971c514db4d829beae9d0b438ac7cf098b9e57Open exact source ↗ for PTO-AVS-ARCH-TF32-DECOMP-001 Commit-scoped evidence 5 spec/evidence/release-traceability-readiness.json · closed PTO-EVIDENCE-RELEASE-TRACEABILITYSources and references Complete stable ID PTO-EVIDENCE-RELEASE-TRACEABILITYPath spec/evidence/release-traceability-readiness.jsonKind / role ASL/NDF/documentation/AVS traceability SHA-256 c7327021d39dc67ac5564bc55073b3870a397d79ac8d9648284d56e33bc14a3eOpen exact source ↗ for PTO-EVIDENCE-RELEASE-TRACEABILITY spec/evidence/instruction-contract-closure.json · closed PTO-EVIDENCE-INSTRUCTION-CONTRACT-CLOSURESources and references Complete stable ID PTO-EVIDENCE-INSTRUCTION-CONTRACT-CLOSUREPath spec/evidence/instruction-contract-closure.jsonKind / role mnemonic and encoding contract closure SHA-256 3ef2bb62421c79dff8fa77a1c7983923b523244b8090812883ef81286ca8106aOpen exact source ↗ for PTO-EVIDENCE-INSTRUCTION-CONTRACT-CLOSURE spec/evidence/architecture-readiness.json · open PTO-EVIDENCE-ARCHITECTURE-READINESSSources and references Complete stable ID PTO-EVIDENCE-ARCHITECTURE-READINESSPath spec/evidence/architecture-readiness.jsonKind / role architecture maturity and blockers SHA-256 4b0b85199101251bea744e0f3591cc31906909dc80d5ab651c417a936036a004Open exact source ↗ for PTO-EVIDENCE-ARCHITECTURE-READINESS spec/evidence/release-gate-readiness.json · ready-for-exact-head-verification PTO-EVIDENCE-RELEASE-GATE-READINESSSources and references Complete stable ID PTO-EVIDENCE-RELEASE-GATE-READINESSPath spec/evidence/release-gate-readiness.jsonKind / role exact-head gate readiness SHA-256 a0f4d2b6920c08981ea55fd8ef820708a40d4feb5402c5150e8e9ab532d84ce0Open exact source ↗ for PTO-EVIDENCE-RELEASE-GATE-READINESS spec/release-manifest.json · draft PTO-EVIDENCE-RELEASE-MANIFESTSources and references Complete stable ID PTO-EVIDENCE-RELEASE-MANIFESTPath spec/release-manifest.jsonKind / role release content and encoding fingerprints SHA-256 1a64c109ed7a90351c41e2a418b3c0ebaf8ad975838986d2101385186b85c0d8Open exact source ↗ for PTO-EVIDENCE-RELEASE-MANIFEST Decision history 5 Numeric format namespace ownership · accepted decision record ADR case 0040 Copy ID
Decision record Loading ADR-0040…
Sources and references Complete stable ID ADR-0040Path docs/status/decisions/0040-numeric-format-namespace-ownership.mdAffected units PTO-ARCH-DATA-TYPES-FORMAT-DESCRIPTOR, PTO-ARCH-DATA-TYPES-NUMERIC-FORMATS, PTO-ARCH-DATA-TYPES-TILE-DATA-TYPES, PTO-BLOCK-B-DATR, PTO-TILE-TCVT Affected NDF PTO-B-DATR-FIELDS-001, PTO-CUBE-CELL-TRANSPORT-001, PTO-NUMERIC-FINITE-DECOMPOSITION-001, PTO-NUMERIC-FORMAT-DESCRIPTOR-001, PTO-TCVT-CONTRACT-001 SHA-256 d4383e3d07be37218f7d060e0b4d8f2aa610684aadfb128583980e2f4ecf3b92Open exact decision source ↗ for ADR-0040 Public numeric type identity and target availability · accepted decision record ADR case 0043 Copy ID
Decision record Loading ADR-0043…
Sources and references Complete stable ID ADR-0043Path docs/status/decisions/0043-public-numeric-type-identity-and-availability.mdAffected units PTO-ARCH-DATA-TYPES-FORMAT-DESCRIPTOR, PTO-ARCH-DATA-TYPES-NUMERIC-FORMATS, PTO-ARCH-DATA-TYPES-TILE-DATA-TYPES, PTO-TILE-TCVT Affected NDF PTO-NUMERIC-FINITE-DECOMPOSITION-001, PTO-NUMERIC-FORMAT-DESCRIPTOR-001, PTO-TCVT-CONTRACT-001 SHA-256 4fa14704464afe3ea85b98835f2f6e7d6fa832a1f297100f41414cd3faf66924Open exact decision source ↗ for ADR-0043 Numeric format value classification · accepted decision record ADR case 0048 Copy ID
Decision record Loading ADR-0048…
Sources and references Complete stable ID ADR-0048Path docs/status/decisions/0048-numeric-format-value-classification.mdAffected units PTO-ARCH-DATA-TYPES-FORMAT-BF16, PTO-ARCH-DATA-TYPES-FORMAT-DESCRIPTOR, PTO-ARCH-DATA-TYPES-FORMAT-E1M2X2, PTO-ARCH-DATA-TYPES-FORMAT-E2M1X2, PTO-ARCH-DATA-TYPES-FORMAT-E2M3, PTO-ARCH-DATA-TYPES-FORMAT-E3M2, PTO-ARCH-DATA-TYPES-FORMAT-E4M3, PTO-ARCH-DATA-TYPES-FORMAT-E5M2, PTO-ARCH-DATA-TYPES-FORMAT-E8M0, PTO-ARCH-DATA-TYPES-FORMAT-FP16, PTO-ARCH-DATA-TYPES-FORMAT-FP32, PTO-ARCH-DATA-TYPES-FORMAT-FP64, PTO-ARCH-DATA-TYPES-FORMAT-HF32, PTO-ARCH-DATA-TYPES-FORMAT-HIF4X2, PTO-ARCH-DATA-TYPES-FORMAT-HIF8, PTO-ARCH-DATA-TYPES-FORMAT-TF32, PTO-ARCH-DATA-TYPES-NUMERIC-CLASSIFICATION, PTO-ARCH-DATA-TYPES-NUMERIC-FORMATS, PTO-SCALAR-FMAX, PTO-SCALAR-FMIN, PTO-SCALAR-MODEL-FSU-PROFILE, PTO-TILE-MODEL-EXECUTION-COMPARISON, PTO-TILE-MODEL-EXECUTION-FUSED-MULTIPLY-ADD, PTO-TILE-MODEL-EXECUTION-UNARY, PTO-TILE-MODEL-NUMERIC-FORMATS, PTO-TILE-MODEL-ORDERING-SORTING, PTO-TILE-TMAX, PTO-TILE-TMIN Affected NDF PTO-FMAX-DECISION-BINDING-001, PTO-FMIN-DECISION-BINDING-001, PTO-NUMERIC-FINITE-DECOMPOSITION-001, PTO-NUMERIC-FORMAT-DESCRIPTOR-001, PTO-TMAX-CONTRACT-001, PTO-TMIN-CONTRACT-001 SHA-256 ce3ecd1851e22b5517d07076ab8bd2db36b6b4582111c761db19240275853d9cOpen exact decision source ↗ for ADR-0048 Hardware numeric subnormal policy · accepted decision record ADR case 0049 Copy ID
Decision record Loading ADR-0049…
Sources and references Complete stable ID ADR-0049Path docs/status/decisions/0049-hardware-subnormal-policy.mdAffected units PTO-ARCH-DATA-TYPES-FORMAT-DESCRIPTOR, PTO-ARCH-DATA-TYPES-NUMERIC-FORMATS, PTO-ARCH-PROFILE-APPLICABILITY Affected NDF PTO-NUMERIC-FINITE-DECOMPOSITION-001, PTO-NUMERIC-FORMAT-DESCRIPTOR-001 SHA-256 ac969b6247bbaa16e480ae96c9f227f68ffa859d06121df838c8d3b6f141ca3aOpen exact decision source ↗ for ADR-0049 Hardware special-value result checkpoint · accepted decision record ADR case 0050 Copy ID
Decision record Loading ADR-0050…
Sources and references Complete stable ID ADR-0050Path docs/status/decisions/0050-hardware-special-value-checkpoint.mdAffected units PTO-ARCH-DATA-TYPES-FORMAT-DESCRIPTOR, PTO-ARCH-DATA-TYPES-NUMERIC-FORMATS, PTO-ARCH-PROFILE-MATRIX-POSTPROCESS, PTO-SCALAR-FMAX, PTO-SCALAR-FMIN, PTO-TILE-TMAX, PTO-TILE-TMIN Affected NDF PTO-FMAX-DECISION-BINDING-001, PTO-FMIN-DECISION-BINDING-001, PTO-MATRIX-POSTPROCESS-BITEXACT-001, PTO-NUMERIC-FINITE-DECOMPOSITION-001, PTO-NUMERIC-FORMAT-DESCRIPTOR-001, PTO-TMAX-CONTRACT-001, PTO-TMIN-CONTRACT-001 SHA-256 08cfdeb16bf245980c9db849994e181e5079efc53475762cdad1df9f555993b5Open exact decision source ↗ for ADR-0050 Show canonical path and hashes asl/arch/data-types/numeric-formats.asl:3
Source SHA-256: 101bbe4d0efa238d214cdf20cb2f9b7a413f86aa12ff1ae1be9638c4ade90c8d
Clause SHA-256: bdffd42ab571a4627c020005aa1209162ae9149a2c29a11026a172c29e569c42