目的与范围
用途与范围
E3M2 是 PTO 已分配的数值格式。本页帮助读者把载体布局、有限值分解和值分类联系起来;确切契约仍由 ASL 所有者中的 E3M2NumericFormatDescriptor、E3M2FiniteDecomposition 和 ClassifyE3M2 定义。
PTO-ARCH-DATA-TYPES-FORMAT-E3M2下面是该指令所有者中的 Operation;页面没有重写这段行为。
// PTO-REQ-HARDWARE-NUMERIC-001: exact zero-extended E3M2 values.
pure func E3M2NumericFormatDescriptor() => NumericFormatDescriptorbegin return NumericFormatDescriptor { available = TRUE, kind = NumericFormatKind_FixedBinary, carrier_bits = 8, lane_bits = 6, lanes_per_carrier = 1, sign_bits = 1, sign_bit = 5, exponent_bits_min = 3, exponent_bits_max = 3, fraction_bits_min = 2, fraction_bits_max = 2, exponent_bias_available = TRUE, exponent_bias = 3, required_low_zero_bits = 0, required_high_zero_bits = 2, has_zero = TRUE, has_signed_zero = TRUE, has_subnormal = TRUE, has_infinity = FALSE, has_quiet_nan = FALSE, has_signaling_nan = FALSE };end;
pure func E3M2FiniteDecomposition(value: bits(8)) => (boolean, boolean, Word, integer {-1074..1023})begin if value[7:6] != Zeros{2} then return (FALSE, FALSE, Zeros{PTO_XLEN}, 0); end; let exponent = value[4:2]; let fraction = value[1:0]; if exponent == Zeros{3} then if fraction == Zeros{2} then return (TRUE, value[5] == '1', Zeros{PTO_XLEN}, 0); else return (TRUE, value[5] == '1', ZeroExtend{PTO_XLEN}(fraction), -4); end; else return (TRUE, value[5] == '1', LSL(Zeros{PTO_XLEN} + 1, 2) + ZeroExtend{PTO_XLEN}(fraction), (UInt(exponent) - (3 + 2)) as integer {-1074..1023}); end;end;
pure func E3M2EncodingValid(value: bits(8)) => booleanbegin return value[7:6] == Zeros{2};end;pure func ClassifyE3M2(value: bits(8)) => NumericValueClassbegin let exponent = value[4:2]; let fraction = value[1:0]; return NumericValueClassFromFiniteSign(value[5], exponent == Zeros{3} && fraction == Zeros{2}, exponent == Zeros{3} && fraction != Zeros{2});end;
pure func E3M2SignedZeroEncodings() => (Word, Word)begin return (Zeros{PTO_XLEN}, Zeros{PTO_XLEN} + 0x20);end;// PTO-UNIT: {"id":"PTO-ARCH-DATA-TYPES-FORMAT-E3M2","surface":"arch","classification":["data-types","formats","e3m2"],"depends_on":["PTO-ARCH-DATA-TYPES-FORMAT-DESCRIPTOR"]}// DOC-BEGIN: operation// PTO-REQ-HARDWARE-NUMERIC-001: exact zero-extended E3M2 values.
pure func E3M2NumericFormatDescriptor() => NumericFormatDescriptorbegin return NumericFormatDescriptor { available = TRUE, kind = NumericFormatKind_FixedBinary, carrier_bits = 8, lane_bits = 6, lanes_per_carrier = 1, sign_bits = 1, sign_bit = 5, exponent_bits_min = 3, exponent_bits_max = 3, fraction_bits_min = 2, fraction_bits_max = 2, exponent_bias_available = TRUE, exponent_bias = 3, required_low_zero_bits = 0, required_high_zero_bits = 2, has_zero = TRUE, has_signed_zero = TRUE, has_subnormal = TRUE, has_infinity = FALSE, has_quiet_nan = FALSE, has_signaling_nan = FALSE };end;
pure func E3M2FiniteDecomposition(value: bits(8)) => (boolean, boolean, Word, integer {-1074..1023})begin if value[7:6] != Zeros{2} then return (FALSE, FALSE, Zeros{PTO_XLEN}, 0); end; let exponent = value[4:2]; let fraction = value[1:0]; if exponent == Zeros{3} then if fraction == Zeros{2} then return (TRUE, value[5] == '1', Zeros{PTO_XLEN}, 0); else return (TRUE, value[5] == '1', ZeroExtend{PTO_XLEN}(fraction), -4); end; else return (TRUE, value[5] == '1', LSL(Zeros{PTO_XLEN} + 1, 2) + ZeroExtend{PTO_XLEN}(fraction), (UInt(exponent) - (3 + 2)) as integer {-1074..1023}); end;end;
pure func E3M2EncodingValid(value: bits(8)) => booleanbegin return value[7:6] == Zeros{2};end;pure func ClassifyE3M2(value: bits(8)) => NumericValueClassbegin let exponent = value[4:2]; let fraction = value[1:0]; return NumericValueClassFromFiniteSign(value[5], exponent == Zeros{3} && fraction == Zeros{2}, exponent == Zeros{3} && fraction != Zeros{2});end;
pure func E3M2SignedZeroEncodings() => (Word, Word)begin return (Zeros{PTO_XLEN}, Zeros{PTO_XLEN} + 0x20);end;// DOC-END: operation
E3M2 是 PTO 已分配的数值格式。本页帮助读者把载体布局、有限值分解和值分类联系起来;确切契约仍由 ASL 所有者中的 E3M2NumericFormatDescriptor、E3M2FiniteDecomposition 和 ClassifyE3M2 定义。
描述符使用 8 位载体、6 位逻辑 lane,并且每个载体包含 1 个 lane。lane 的符号位位于 5,具有 3 个指数位、2 个尾数位,指数偏置为 3。
8 位载体的 7:6 位必须为零;6 位数值占据 5:0 位。
E3M2FiniteDecomposition 先报告有限值分解是否可用;可用时返回符号、整数有效数和二进制指数。ClassifyE3M2 则独立地把原始 lane 归入该格式所支持的零、次正规数、正规数、无穷大或 NaN 类别。
它具有带符号零和次正规数,但没有无穷大或 NaN 类别。若任一受约束高位为 1,编码有效性函数和有限值分解函数都会拒绝该载体。
编码 0x00 和 0x20 分别表示正零与负零。
有限值分解函数在返回的元组中报告可用性;值分类是另一个函数的独立结果。
下面的示例只演示如何阅读这些函数,不增加编码规则。
例如,0x01 分解为正的有效数 1 和指数 -4;0x80 的第 7 位为 1,因此不是有效的 E3M2 编码。
正文来自 owning ASL。拖拽或按钮只临时改变当前页面显示顺序。
No NDF clause is attached to this unit.
8 matching entries
PTO-AVS-ARCH-DATA-TYPES-FORMAT-E3M2-STATIC-001tests/asl/arch/data-types/formats/e3m2/arch-static-e3m2-contract-001.asle0335ef6c5baf96ec5fb0961ce961d7b553315fa36358067589aa711e86c1bdaPTO-AVS-ARCH-E3M2-DECOMP-001tests/asl/arch/data-types/formats/e3m2/arch-bound-e3m2-decomp-001.asle942008d7104703a8ee6e304e04dcca247d221b2a2a5f536a86cbcbb1bef2b93PTO-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-0048…
ADR-0048docs/status/decisions/0048-numeric-format-value-classification.mdce3ecd1851e22b5517d07076ab8bd2db36b6b4582111c761db19240275853d9c{
"classification": [
"data-types",
"formats",
"e3m2"
],
"documentation": "docs/arch/data-types/formats/e3m2.md",
"id": "PTO-ARCH-DATA-TYPES-FORMAT-E3M2",
"mnemonic": null,
"readiness_subjects": [
"ADR-0048"
],
"semantic_tests": [
"PTO-AVS-ARCH-E3M2-DECOMP-001"
],
"source": "asl/arch/data-types/formats/e3m2.asl",
"surface": "arch",
"tests": [
"PTO-AVS-ARCH-DATA-TYPES-FORMAT-E3M2-STATIC-001",
"PTO-AVS-ARCH-E3M2-DECOMP-001"
]
}0.58.5 · 候选发布7dc8b7e5b121d2b2499a2273bebff29e2cd868127bfe85b0c248ee27de72f0dd20adee81e6378a26231e456ec2bcc6e55536e39da373920bcebdad20c61ba8915f008399c0acba7399ec0014ae9307aafbe066aeasl/arch/data-types/formats/e3m2.asl