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PTO-ARCH-DATA-TYPES-FORMAT-E8M0

PTO-ARCH-DATA-TYPES-FORMAT-E8M0

ASL pseudocode

This Operation comes directly from the instruction owner; the page does not rewrite its behavior.

// PTO-REQ-HARDWARE-NUMERIC-001: exact E8M0 power-of-two scale.
pure func E8M0NumericFormatDescriptor() => NumericFormatDescriptorbegin    return NumericFormatDescriptor {        available = TRUE, kind = NumericFormatKind_E8M0,        carrier_bits = 8, lane_bits = 8, lanes_per_carrier = 1,        sign_bits = 0, sign_bit = 0,        exponent_bits_min = 8, exponent_bits_max = 8,        fraction_bits_min = 0, fraction_bits_max = 0,        exponent_bias_available = TRUE, exponent_bias = 127,        required_low_zero_bits = 0, required_high_zero_bits = 0,        has_zero = FALSE, has_signed_zero = FALSE, has_subnormal = FALSE,        has_infinity = FALSE, has_quiet_nan = TRUE,        has_signaling_nan = FALSE    };end;
pure func E8M0FiniteDecomposition(value: bits(8))    => (boolean, boolean, Word, integer {-1074..1023})begin    if value == Ones{8} then        return (FALSE, FALSE, Zeros{PTO_XLEN}, 0);    else return (TRUE, FALSE, Zeros{PTO_XLEN} + 1,                 (UInt(value) - 127) as integer {-1074..1023});    end;end;
pure func HardwareNumericScaleBlockElements() => integer {32}begin    return 32;end;pure func ClassifyE8M0(value: bits(8)) => NumericValueClassbegin    if value == Ones{8} then return NumericValue_QuietNaN;    else return NumericValue_PositiveNormal;    end;end;
pure func E8M0CanonicalNaN() => Wordbegin    return Zeros{PTO_XLEN} + 0xff;end;
View the complete ASL owner
// PTO-UNIT: {"id":"PTO-ARCH-DATA-TYPES-FORMAT-E8M0","surface":"arch","classification":["data-types","formats","e8m0"],"depends_on":["PTO-ARCH-DATA-TYPES-FORMAT-DESCRIPTOR"]}// DOC-BEGIN: operation// PTO-REQ-HARDWARE-NUMERIC-001: exact E8M0 power-of-two scale.
pure func E8M0NumericFormatDescriptor() => NumericFormatDescriptorbegin    return NumericFormatDescriptor {        available = TRUE, kind = NumericFormatKind_E8M0,        carrier_bits = 8, lane_bits = 8, lanes_per_carrier = 1,        sign_bits = 0, sign_bit = 0,        exponent_bits_min = 8, exponent_bits_max = 8,        fraction_bits_min = 0, fraction_bits_max = 0,        exponent_bias_available = TRUE, exponent_bias = 127,        required_low_zero_bits = 0, required_high_zero_bits = 0,        has_zero = FALSE, has_signed_zero = FALSE, has_subnormal = FALSE,        has_infinity = FALSE, has_quiet_nan = TRUE,        has_signaling_nan = FALSE    };end;
pure func E8M0FiniteDecomposition(value: bits(8))    => (boolean, boolean, Word, integer {-1074..1023})begin    if value == Ones{8} then        return (FALSE, FALSE, Zeros{PTO_XLEN}, 0);    else return (TRUE, FALSE, Zeros{PTO_XLEN} + 1,                 (UInt(value) - 127) as integer {-1074..1023});    end;end;
pure func HardwareNumericScaleBlockElements() => integer {32}begin    return 32;end;pure func ClassifyE8M0(value: bits(8)) => NumericValueClassbegin    if value == Ones{8} then return NumericValue_QuietNaN;    else return NumericValue_PositiveNormal;    end;end;
pure func E8M0CanonicalNaN() => Wordbegin    return Zeros{PTO_XLEN} + 0xff;end;// DOC-END: operation

Architecture behavior

purpose scope

Purpose and scope

E8M0 is an assigned PTO numeric format. This page helps a reader connect its carrier layout, finite-value decomposition, and value classification; the exact contract remains in E8M0NumericFormatDescriptor, E8M0FiniteDecomposition, and ClassifyE8M0 in the ASL owner.

concepts state

Carrier and fields

The descriptor uses an 8-bit carrier with one 8-bit logical lane. All 8 lane bits form the exponent field, the exponent bias is 127, and the format has no sign or fraction field.

All eight bits form an unsigned exponent field; there is no sign or fraction field.

rules interactions

Decomposition and classification

E8M0FiniteDecomposition reports whether a finite decomposition is available and, when available, returns the sign, an integer significand, and a binary exponent. ClassifyE8M0 separately assigns the raw lane to zero, subnormal, normal, infinity, or NaN classes supported by this format.

It has no zero, signed zero, subnormal, or infinity class. Encodings 0x00 through 0xfe are positive normal powers of two, while 0xff is the quiet-NaN encoding and has no finite decomposition.

boundaries

Boundaries and exact encodings

E8M0CanonicalNaN returns 0xff, and HardwareNumericScaleBlockElements fixes a scale block at 32 elements.

The finite-decomposition function reports availability with its returned tuple; value classification is a separate function result.

example usage

illustrative reading example

This example illustrates how to read the functions; it does not add an encoding rule.

For example, 0x00 decomposes to positive significand 1 with exponent -127; 0xfe uses exponent 127.

NDF clauses

Bodies come from owning ASL. Dragging or buttons change only this page-session view order.

No NDF clause is attached to this unit.

Evidence index

8 matching entries

Executable evidence2
  • PTO-ARCH-DATA-TYPES-FORMAT-E8M0 compiles as an independent normative unit
    1. surfaceARCH
    2. ownerPTO-ARCH-DATA-TYPES-FORMAT-E8M0
    3. categorySTATIC-INVARIANT
    4. case001
    Show exact test source
    Sources and references
    Complete stable ID
    PTO-AVS-ARCH-DATA-TYPES-FORMAT-E8M0-STATIC-001
    Path
    tests/asl/arch/data-types/formats/e8m0/arch-static-e8m0-contract-001.asl
    Kind / role
    static-invariant
    Pass condition
    the complete model and this unit's static invariant compile
    SHA-256
    951c81c9f71e59d75c174c839a39225ce0810020a7767f82bb1ac5904cfa4767
    Open exact source ↗ for PTO-AVS-ARCH-DATA-TYPES-FORMAT-E8M0-STATIC-001
  • E8M0 exposes its exact descriptor and finite-value decomposition.
    1. surfaceARCH
    2. ownerPTO-ARCH-DATA-TYPES-FORMAT-E8M0
    3. categoryBOUNDARY
    4. case001
    Show exact test source
    Sources and references
    Complete stable ID
    PTO-AVS-ARCH-E8M0-DECOMP-001
    Path
    tests/asl/arch/data-types/formats/e8m0/arch-bound-e8m0-decomp-001.asl
    Kind / 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
    d20f3428e308a827e0e46c767bcc5cd2ab667090bb87fe87e8d44838124bb52a
    Open exact source ↗ for PTO-AVS-ARCH-E8M0-DECOMP-001
Commit-scoped evidence5
  • spec/evidence/release-traceability-readiness.json · closedPTO-EVIDENCE-RELEASE-TRACEABILITY
    Sources and references
    Complete stable ID
    PTO-EVIDENCE-RELEASE-TRACEABILITY
    Path
    spec/evidence/release-traceability-readiness.json
    Kind / role
    ASL/NDF/documentation/AVS traceability
    SHA-256
    c7327021d39dc67ac5564bc55073b3870a397d79ac8d9648284d56e33bc14a3e
    Open exact source ↗ for PTO-EVIDENCE-RELEASE-TRACEABILITY
  • spec/evidence/instruction-contract-closure.json · closedPTO-EVIDENCE-INSTRUCTION-CONTRACT-CLOSURE
    Sources and references
    Complete stable ID
    PTO-EVIDENCE-INSTRUCTION-CONTRACT-CLOSURE
    Path
    spec/evidence/instruction-contract-closure.json
    Kind / role
    mnemonic and encoding contract closure
    SHA-256
    3ef2bb62421c79dff8fa77a1c7983923b523244b8090812883ef81286ca8106a
    Open exact source ↗ for PTO-EVIDENCE-INSTRUCTION-CONTRACT-CLOSURE
  • spec/evidence/architecture-readiness.json · openPTO-EVIDENCE-ARCHITECTURE-READINESS
    Sources and references
    Complete stable ID
    PTO-EVIDENCE-ARCHITECTURE-READINESS
    Path
    spec/evidence/architecture-readiness.json
    Kind / role
    architecture maturity and blockers
    SHA-256
    4b0b85199101251bea744e0f3591cc31906909dc80d5ab651c417a936036a004
    Open exact source ↗ for PTO-EVIDENCE-ARCHITECTURE-READINESS
  • spec/evidence/release-gate-readiness.json · ready-for-exact-head-verificationPTO-EVIDENCE-RELEASE-GATE-READINESS
    Sources and references
    Complete stable ID
    PTO-EVIDENCE-RELEASE-GATE-READINESS
    Path
    spec/evidence/release-gate-readiness.json
    Kind / role
    exact-head gate readiness
    SHA-256
    a0f4d2b6920c08981ea55fd8ef820708a40d4feb5402c5150e8e9ab532d84ce0
    Open exact source ↗ for PTO-EVIDENCE-RELEASE-GATE-READINESS
  • spec/release-manifest.json · draftPTO-EVIDENCE-RELEASE-MANIFEST
    Sources and references
    Complete stable ID
    PTO-EVIDENCE-RELEASE-MANIFEST
    Path
    spec/release-manifest.json
    Kind / role
    release content and encoding fingerprints
    SHA-256
    1a64c109ed7a90351c41e2a418b3c0ebaf8ad975838986d2101385186b85c0d8
    Open exact source ↗ for PTO-EVIDENCE-RELEASE-MANIFEST
Decision history1
  • Numeric format value classification · accepted
    1. decision recordADR
    2. case0048

    Decision record

    Loading ADR-0048…

    Sources and references
    Complete stable ID
    ADR-0048
    Path
    docs/status/decisions/0048-numeric-format-value-classification.md
    Affected 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
    ce3ecd1851e22b5517d07076ab8bd2db36b6b4582111c761db19240275853d9c
    Open exact decision source ↗ for ADR-0048

Unit metadata

Open 4 generated metadata fields
id
PTO-ARCH-DATA-TYPES-FORMAT-E8M0
surface
arch
classification
[
  "data-types",
  "formats",
  "e8m0"
]
depends_on
[
  "PTO-ARCH-DATA-TYPES-FORMAT-DESCRIPTOR"
]
Open generated traceability record
{
  "classification": [
    "data-types",
    "formats",
    "e8m0"
  ],
  "documentation": "docs/arch/data-types/formats/e8m0.md",
  "id": "PTO-ARCH-DATA-TYPES-FORMAT-E8M0",
  "mnemonic": null,
  "readiness_subjects": [
    "ADR-0048"
  ],
  "semantic_tests": [
    "PTO-AVS-ARCH-E8M0-DECOMP-001"
  ],
  "source": "asl/arch/data-types/formats/e8m0.asl",
  "surface": "arch",
  "tests": [
    "PTO-AVS-ARCH-DATA-TYPES-FORMAT-E8M0-STATIC-001",
    "PTO-AVS-ARCH-E8M0-DECOMP-001"
  ]
}

Sources and release identity

Show commit, paths, hashes, version, and canonical owners
Release
0.58.5 · Release candidate
Commit
7dc8b7e5b121d2b2499a2273bebff29e2cd86812
ASL SHA-256
8b3508513010e4aaa36ce62ef7e87b3e86d4ff2d7fc0e76175f9c4f6dcd70afc
Generated documentation
docs/arch/data-types/formats/e8m0.md · embedded in this page
Documentation SHA-256
1997742c05123d0ebfdf79f971566951dd34d8fe051c7a0f03a053f7d8739edb

Exact owners