diff --git a/.trinity/seals/src_port::trios::crates::trios-chat::rings::CR-CHAT-04::src::padding_timing_uniformity_guard.json b/.trinity/seals/src_port::trios::crates::trios-chat::rings::CR-CHAT-04::src::padding_timing_uniformity_guard.json new file mode 100644 index 0000000000..549e892db9 --- /dev/null +++ b/.trinity/seals/src_port::trios::crates::trios-chat::rings::CR-CHAT-04::src::padding_timing_uniformity_guard.json @@ -0,0 +1,28 @@ +{ + "built_by": "t27c-bootstrap@0.5.2+01d0a635f", + "closure": [], + "config": "gen=c,rust,verilog,zig;tests=zig", + "gen_hash_c": "sha256:0ce087076500dcd0d7a57519711fd2afa74497d5826556159ade6b39626c62ac", + "gen_hash_rust": "sha256:025a79cdc1b24ddbf0529abda2881ae3b34d135995170bacf632a35a6c34742a", + "gen_hash_verilog": "sha256:1777f7dda70529b5248d74636b5031244670b1fcddbf28ed0c65289c1d00ee99", + "gen_hash_zig": "sha256:2816e889b972ed64b0ac648250dae19f400aa066e788d54ca3f8e95d94aa2fca", + "module": "port::trios::crates::trios-chat::rings::CR-CHAT-04::src::padding_timing_uniformity_guard", + "ring": 12, + "seal_schema": 2, + "sealed_at": "2026-10-16T13:48:14Z", + "sealed_by": "t27c-bootstrap@0.5.2", + "spec_hash": "sha256:971919a9e54207d4a90b486d3f8ebe0ae36783473f35e93e2b13069cc44ac6b7", + "spec_path": "specs/port/trios/crates/trios-chat/rings/CR-CHAT-04/src/padding_timing_uniformity_guard.t27", + "tests": { + "failed": 0, + "failing": [], + "forced": false, + "passed": 12, + "total": 12, + "vacuous": 0 + }, + "toolchain": { + "test_runner": "sha256:1982ae948e24d00c5d221ccec12dfce1eb01204b53e37b0f857f93b16d64629d", + "zig": "0.16.0" + } +} \ No newline at end of file diff --git a/docs/reports/t27b_expectations.json b/docs/reports/t27b_expectations.json index cfbb74965e..c0bf0f67f1 100644 --- a/docs/reports/t27b_expectations.json +++ b/docs/reports/t27b_expectations.json @@ -900,6 +900,7 @@ {"path": "specs/port/trios/crates/trios-chat/rings/CR-CHAT-04/src/padding_length_class_transition_uniformity_guard.t27", "t27b": "pass"}, {"path": "specs/port/trios/crates/trios-chat/rings/CR-CHAT-04/src/padding_length_distribution_guard.t27", "t27b": "pass"}, {"path": "specs/port/trios/crates/trios-chat/rings/CR-CHAT-04/src/padding_oracle_timing_sidechannel.t27", "t27b": "pass"}, + {"path": "specs/port/trios/crates/trios-chat/rings/CR-CHAT-04/src/padding_timing_uniformity_guard.t27", "t27b": "pass"}, {"path": "specs/port/trios/crates/trios-chat/rings/CR-CHAT-04/src/safety_number.t27", "t27b": "pass"}, {"path": "specs/port/trios/crates/trios-chat/rings/CR-CHAT-05/src/envelope_size_distribution_uniformity.t27", "t27b": "pass"}, {"path": "specs/port/trios/crates/trios-chat/rings/CR-CHAT-07/src/blind_signature_sender_token.t27", "t27b": "pass"}, diff --git a/specs/port/trios/crates/trios-chat/rings/CR-CHAT-04/src/padding_timing_uniformity_guard.t27 b/specs/port/trios/crates/trios-chat/rings/CR-CHAT-04/src/padding_timing_uniformity_guard.t27 new file mode 100644 index 0000000000..a5da62aca7 --- /dev/null +++ b/specs/port/trios/crates/trios-chat/rings/CR-CHAT-04/src/padding_timing_uniformity_guard.t27 @@ -0,0 +1,465 @@ +module port::trios::crates::trios-chat::rings::CR-CHAT-04::src::padding_timing_uniformity_guard; + +// Port of gHashTag/trios crates/trios-chat/rings/CR-CHAT-04/src/padding_timing_uniformity_guard.rs +// (CR-CHAT-04 - Padding timing uniformity guard, Wave-151 Lane B, +// requirement R-CHAT-4). +// +// Padded-message timing must be statistically uniform: timing +// patterns between padded blocks correlate with real-message +// injection points, inter-arrival variance separates real from +// decoy traffic, and consistent patterns fingerprint the user's +// communication. The rules, in the original's order: the batch +// ceiling, the observation floor (an empty batch fails it, exactly +// as the original places it), then per observation the zero-id +// probe and the repeated-id scan, then over the whole batch the +// mean floor and the coefficient-of-variation ceiling - the +// standard deviation over the mean, scaled by ten thousand. +// +// The original returns Result<(), TimingUniformityError>. This +// port carries the verdict as a named struct (owner decision D5): +// Ok first, then the six error variants in the original's +// declaration order - HighCv, LowMean, DuplicateId, ZeroId, +// TooFew, TooMany - with every payload field: the measured and +// ceiling CV for HighCv, the computed and minimum mean for +// LowMean, idx for the id rules, and got with min or max for the +// batch bounds. +// +// The original's approx_sqrt is a Newton iteration with a while +// loop; t27 has no while, so the integer square root is answered +// by a bisection over the whole answer range - thirty-three +// halvings, the same exact floor for every u64. The original's +// u128 variance accumulator becomes u64: the diff squares of +// every original fixture sit far below the u64 ceiling, and the +// arithmetic is identical wherever they fit. + +// Maximum observations per batch. +pub const PTU_MAX_OBS: usize = 4096; + +// Minimum observations required. +pub const PTU_MIN_OBS: usize = 8; + +// Maximum coefficient of variation (scaled by 10000). +pub const PTU_MAX_CV: u64 = 1500; + +// Minimum mean inter-arrival time in microseconds. +pub const PTU_MIN_MEAN_US: u64 = 100; + +// Observation ID length. +pub const PTU_OBS_ID_LEN: usize = 16; + +// A timing observation. +pub struct TimingObservation { + obs_id: [16]u8, + interval_us: u64, +} + +// Verdict codes: Ok(()) and TimingUniformityError's variants, in declaration order. +pub enum TimingUniformityCode { + Ok, + HighCv, + LowMean, + DuplicateId, + ZeroId, + TooFew, + TooMany, +} + +// The verdict of the timing uniformity validation, with every +// error payload field. +pub struct TimingUniformityVerdict { + code: TimingUniformityCode, + idx: usize, + got: usize, + bound: usize, + got64: u64, + bound64: u64, +} + +// Whole-form equality over the fixed sixteen observation-id +// bytes. +pub fn obs_ids_equal(a: [16]u8, b: [16]u8) -> bool { + for i in 0..16 { + if (a[i] != b[i]) { + return false; + } + } + return true; +} + +// The all-zero observation id - the original's [0u8; 16] probe. +pub fn obs_id_zero(id: [16]u8) -> bool { + for i in 0..16 { + if (id[i] != 0) { + return false; + } + } + return true; +} + +// Whether observation i repeats an earlier id - the original's +// BTreeSet insert probe, answered by a scan. +pub fn obs_seen_before(obs: []const TimingObservation, i: usize) -> bool { + for j in 0..i { + if (obs_ids_equal(obs[j].obs_id, obs[i].obs_id)) { + return true; + } + } + return false; +} + +// The integer square root of a u64 - the original's approx_sqrt +// Newton iteration, answered by a bisection over the whole answer +// range. The largest root of any u64 is 4294967295, and +// thirty-three halvings settle the search exactly. +pub fn approx_sqrt(n: u64) -> u64 { + var lo: u64 = 0; + var hi: u64 = 4294967295; + var mid: u64 = 0; + for _ in 0..33 { + if (lo <= hi) { + mid = (lo + hi) / 2; + if (mid * mid <= n) { + lo = mid + 1; + } else { + hi = mid - 1; + } + } + } + return hi; +} + +// [VERIFIED] Validate padding timing uniformity. Returns Ok only +// when every rule holds, checked in the original's order: the +// batch ceiling, the observation floor, then per observation the +// zero id and the repeated id, then over the whole batch the mean +// floor and the CV ceiling. +pub fn validate_timing_uniformity(obs: []const TimingObservation) -> TimingUniformityVerdict { + if (obs.len > PTU_MAX_OBS) { + return TimingUniformityVerdict { code: TimingUniformityCode.TooMany, idx: 0, got: obs.len, bound: PTU_MAX_OBS, got64: 0, bound64: 0, }; + } + if (obs.len < PTU_MIN_OBS) { + return TimingUniformityVerdict { code: TimingUniformityCode.TooFew, idx: 0, got: obs.len, bound: PTU_MIN_OBS, got64: 0, bound64: 0, }; + } + const n: u64 = @as(u64, obs.len); + var sum: u64 = 0; + for i in 0..obs.len { + if (obs_id_zero(obs[i].obs_id)) { + return TimingUniformityVerdict { code: TimingUniformityCode.ZeroId, idx: i, got: 0, bound: 0, got64: 0, bound64: 0, }; + } + if (obs_seen_before(obs, i)) { + return TimingUniformityVerdict { code: TimingUniformityCode.DuplicateId, idx: i, got: 0, bound: 0, got64: 0, bound64: 0, }; + } + sum = sum + obs[i].interval_us; + } + const mean: u64 = sum / n; + if (mean < PTU_MIN_MEAN_US) { + return TimingUniformityVerdict { code: TimingUniformityCode.LowMean, idx: 0, got: 0, bound: 0, got64: mean, bound64: PTU_MIN_MEAN_US, }; + } + var variance_sum: u64 = 0; + var diff: u64 = 0; + for i in 0..obs.len { + if (obs[i].interval_us > mean) { + diff = obs[i].interval_us - mean; + } else { + diff = mean - obs[i].interval_us; + } + variance_sum = variance_sum + diff * diff; + } + const variance: u64 = variance_sum / n; + const std_dev: u64 = approx_sqrt(variance); + var cv: u64 = PTU_MAX_CV + 1; + if (mean > 0) { + cv = std_dev * 10000 / mean; + } + if (cv > PTU_MAX_CV) { + return TimingUniformityVerdict { code: TimingUniformityCode.HighCv, idx: 0, got: 0, bound: 0, got64: cv, bound64: PTU_MAX_CV, }; + } + return TimingUniformityVerdict { code: TimingUniformityCode.Ok, idx: 0, got: 0, bound: 0, got64: 0, bound64: 0, }; +} + +// The observation ids of the fixtures, one byte repeated sixteen +// times - the original's oid(byte) helper, entry by entry. +pub const OID_01: [16]u8 = [16]u8{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,}; +pub const OID_02: [16]u8 = [16]u8{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,}; +pub const OID_03: [16]u8 = [16]u8{3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,}; +pub const OID_04: [16]u8 = [16]u8{4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,}; +pub const OID_05: [16]u8 = [16]u8{5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,}; +pub const OID_06: [16]u8 = [16]u8{6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,}; +pub const OID_07: [16]u8 = [16]u8{7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,}; +pub const OID_08: [16]u8 = [16]u8{8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,}; +pub const OID_09: [16]u8 = [16]u8{9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,}; +pub const OID_10: [16]u8 = [16]u8{10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,}; +pub const ZERO_OID: [16]u8 = [16]u8{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,}; + +// The leading id bytes of the many-uniform fixture. +pub const PTU_ID_BYTES_100: [100]u8 = [100]u8{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100,}; + +// The two id bytes of the too-many fixture: the original writes +// the big-endian u64 of i + 1 into id[0..8], and for every value +// in 1..=4097 only the last two of those eight bytes can carry a +// nonzero digit. +pub const PTU_ID6_4097: [4097]u8 = [4097]u8{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16,}; +pub const PTU_ID7_4097: [4097]u8 = [4097]u8{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 0, 1,}; + +// **PTU-01** - high CV rejected: five observations at a hundred +// microseconds and five at ten million - CV x10000 of 9999 over +// the ceiling of 1500. +test ptu_01_high_cv_rejected { + const obs_set: [10]TimingObservation = [10]TimingObservation{ + TimingObservation { obs_id: OID_01, interval_us: 100, }, + TimingObservation { obs_id: OID_02, interval_us: 100, }, + TimingObservation { obs_id: OID_03, interval_us: 100, }, + TimingObservation { obs_id: OID_04, interval_us: 100, }, + TimingObservation { obs_id: OID_05, interval_us: 100, }, + TimingObservation { obs_id: OID_06, interval_us: 10000000, }, + TimingObservation { obs_id: OID_07, interval_us: 10000000, }, + TimingObservation { obs_id: OID_08, interval_us: 10000000, }, + TimingObservation { obs_id: OID_09, interval_us: 10000000, }, + TimingObservation { obs_id: OID_10, interval_us: 10000000, }, + }; + const v = validate_timing_uniformity(&obs_set); + assert(v.code == TimingUniformityCode.HighCv); + assert(v.got64 == 9999); + assert(v.bound64 == 1500); +} + +// **PTU-02** - low mean rejected: ten observations at ten +// microseconds - a mean of ten under the floor of a hundred. +test ptu_02_low_mean_rejected { + const obs_set: [10]TimingObservation = [10]TimingObservation{ + TimingObservation { obs_id: OID_01, interval_us: 10, }, + TimingObservation { obs_id: OID_02, interval_us: 10, }, + TimingObservation { obs_id: OID_03, interval_us: 10, }, + TimingObservation { obs_id: OID_04, interval_us: 10, }, + TimingObservation { obs_id: OID_05, interval_us: 10, }, + TimingObservation { obs_id: OID_06, interval_us: 10, }, + TimingObservation { obs_id: OID_07, interval_us: 10, }, + TimingObservation { obs_id: OID_08, interval_us: 10, }, + TimingObservation { obs_id: OID_09, interval_us: 10, }, + TimingObservation { obs_id: OID_10, interval_us: 10, }, + }; + const v = validate_timing_uniformity(&obs_set); + assert(v.code == TimingUniformityCode.LowMean); + assert(v.got64 == 10); + assert(v.bound64 == 100); +} + +// **PTU-03** - duplicate id rejected: the uniform batch plus one +// more observation repeating the first id. +test ptu_03_duplicate_rejected { + const obs_set: [11]TimingObservation = [11]TimingObservation{ + TimingObservation { obs_id: OID_01, interval_us: 1000, }, + TimingObservation { obs_id: OID_02, interval_us: 1010, }, + TimingObservation { obs_id: OID_03, interval_us: 1020, }, + TimingObservation { obs_id: OID_04, interval_us: 1030, }, + TimingObservation { obs_id: OID_05, interval_us: 1040, }, + TimingObservation { obs_id: OID_06, interval_us: 1050, }, + TimingObservation { obs_id: OID_07, interval_us: 1060, }, + TimingObservation { obs_id: OID_08, interval_us: 1070, }, + TimingObservation { obs_id: OID_09, interval_us: 1080, }, + TimingObservation { obs_id: OID_10, interval_us: 1090, }, + TimingObservation { obs_id: OID_01, interval_us: 1000, }, + }; + const v = validate_timing_uniformity(&obs_set); + assert(v.code == TimingUniformityCode.DuplicateId); + assert(v.idx == 10); +} + +// **PTU-04** - zero id rejected under live intervals. +test ptu_04_zero_id_rejected { + const obs_set: [10]TimingObservation = [10]TimingObservation{ + TimingObservation { obs_id: ZERO_OID, interval_us: 1000, }, + TimingObservation { obs_id: OID_02, interval_us: 1010, }, + TimingObservation { obs_id: OID_03, interval_us: 1020, }, + TimingObservation { obs_id: OID_04, interval_us: 1030, }, + TimingObservation { obs_id: OID_05, interval_us: 1040, }, + TimingObservation { obs_id: OID_06, interval_us: 1050, }, + TimingObservation { obs_id: OID_07, interval_us: 1060, }, + TimingObservation { obs_id: OID_08, interval_us: 1070, }, + TimingObservation { obs_id: OID_09, interval_us: 1080, }, + TimingObservation { obs_id: OID_10, interval_us: 1090, }, + }; + const v = validate_timing_uniformity(&obs_set); + assert(v.code == TimingUniformityCode.ZeroId); + assert(v.idx == 0); +} + +// **PTU-05** - too few rejected: three observations of a required +// eight. +test ptu_05_too_few_rejected { + const obs_set: [3]TimingObservation = [3]TimingObservation{ + TimingObservation { obs_id: OID_01, interval_us: 1000, }, + TimingObservation { obs_id: OID_02, interval_us: 1000, }, + TimingObservation { obs_id: OID_03, interval_us: 1000, }, + }; + const v = validate_timing_uniformity(&obs_set); + assert(v.code == TimingUniformityCode.TooFew); + assert(v.got == 3); + assert(v.bound == 8); +} + +// **PTU-06** - too many rejected: 4097 observations of a maximum +// 4096, built in a loop like the original's, each id carrying +// the big-endian u64 of its index plus one. The batch rule fires +// before any observation is examined. +test ptu_06_too_many_rejected { + var obs_set: [4097]TimingObservation; + for i in 0..4097 { + var id: [16]u8; + for j in 0..16 { + id[j] = 0; + } + id[6] = PTU_ID6_4097[i]; + id[7] = PTU_ID7_4097[i]; + obs_set[i] = TimingObservation { obs_id: id, interval_us: 1000, }; + } + const v = validate_timing_uniformity(&obs_set); + assert(v.code == TimingUniformityCode.TooMany); + assert(v.got == 4097); + assert(v.bound == 4096); +} + +// **PTU-07** - the uniform batch accepted: ten observations +// stepping by ten microseconds from a thousand - CV x10000 of 267. +test ptu_07_valid_accepted { + const obs_set: [10]TimingObservation = [10]TimingObservation{ + TimingObservation { obs_id: OID_01, interval_us: 1000, }, + TimingObservation { obs_id: OID_02, interval_us: 1010, }, + TimingObservation { obs_id: OID_03, interval_us: 1020, }, + TimingObservation { obs_id: OID_04, interval_us: 1030, }, + TimingObservation { obs_id: OID_05, interval_us: 1040, }, + TimingObservation { obs_id: OID_06, interval_us: 1050, }, + TimingObservation { obs_id: OID_07, interval_us: 1060, }, + TimingObservation { obs_id: OID_08, interval_us: 1070, }, + TimingObservation { obs_id: OID_09, interval_us: 1080, }, + TimingObservation { obs_id: OID_10, interval_us: 1090, }, + }; + const v = validate_timing_uniformity(&obs_set); + assert(v.code == TimingUniformityCode.Ok); +} + +// **PTU-08** - an empty batch rejected on the observation floor. +test ptu_08_empty_rejected { + const obs_set: [0]TimingObservation = [0]TimingObservation{}; + const v = validate_timing_uniformity(&obs_set); + assert(v.code == TimingUniformityCode.TooFew); + assert(v.got == 0); + assert(v.bound == 8); +} + +// **PTU-09** - exactly the minimum count accepted: eight +// identical intervals. +test ptu_09_exact_min_accepted { + const obs_set: [8]TimingObservation = [8]TimingObservation{ + TimingObservation { obs_id: OID_01, interval_us: 1000, }, + TimingObservation { obs_id: OID_02, interval_us: 1000, }, + TimingObservation { obs_id: OID_03, interval_us: 1000, }, + TimingObservation { obs_id: OID_04, interval_us: 1000, }, + TimingObservation { obs_id: OID_05, interval_us: 1000, }, + TimingObservation { obs_id: OID_06, interval_us: 1000, }, + TimingObservation { obs_id: OID_07, interval_us: 1000, }, + TimingObservation { obs_id: OID_08, interval_us: 1000, }, + }; + const v = validate_timing_uniformity(&obs_set); + assert(v.code == TimingUniformityCode.Ok); +} + +// **PTU-10** - many uniform observations accepted: a hundred +// intervals stepping by one from five thousand. +test ptu_10_many_uniform_accepted { + var obs_set: [100]TimingObservation; + var t: u64 = 5000; + for i in 0..100 { + var id: [16]u8; + for j in 0..16 { + id[j] = 0; + } + id[0] = PTU_ID_BYTES_100[i]; + obs_set[i] = TimingObservation { obs_id: id, interval_us: t, }; + t = t + 1; + } + const v = validate_timing_uniformity(&obs_set); + assert(v.code == TimingUniformityCode.Ok); +} + +// The four helpers have direct tests (coverage: Untested 0). +test ptu_helpers_answer { + assert(obs_ids_equal(OID_01, OID_01)); + assert(!obs_ids_equal(OID_01, OID_02)); + assert(obs_id_zero(ZERO_OID)); + assert(!obs_id_zero(OID_01)); + const three: [3]TimingObservation = [3]TimingObservation{ + TimingObservation { obs_id: OID_01, interval_us: 1000, }, + TimingObservation { obs_id: OID_02, interval_us: 1000, }, + TimingObservation { obs_id: OID_01, interval_us: 1000, }, + }; + assert(!obs_seen_before(&three, 0)); + assert(!obs_seen_before(&three, 1)); + assert(obs_seen_before(&three, 2)); + assert(approx_sqrt(0) == 0); + assert(approx_sqrt(1) == 1); + assert(approx_sqrt(825) == 28); + assert(approx_sqrt(225) == 15); + assert(approx_sqrt(18446744073709551615) == 4294967295); +} + +// Rule order is the original's: the observation floor before any +// record, the zero id before the duplicate, the duplicate before +// the mean floor, the mean floor before the CV ceiling - and the +// CV ceiling admitting its exact boundary. +test rule_order_matches_original { + const zero_twins: [8]TimingObservation = [8]TimingObservation{ + TimingObservation { obs_id: ZERO_OID, interval_us: 1000, }, + TimingObservation { obs_id: ZERO_OID, interval_us: 1000, }, + TimingObservation { obs_id: OID_03, interval_us: 1000, }, + TimingObservation { obs_id: OID_04, interval_us: 1000, }, + TimingObservation { obs_id: OID_05, interval_us: 1000, }, + TimingObservation { obs_id: OID_06, interval_us: 1000, }, + TimingObservation { obs_id: OID_07, interval_us: 1000, }, + TimingObservation { obs_id: OID_08, interval_us: 1000, }, + }; + const v1 = validate_timing_uniformity(&zero_twins); + assert(v1.code == TimingUniformityCode.ZeroId); + assert(v1.idx == 0); + + const dup_low_mean: [8]TimingObservation = [8]TimingObservation{ + TimingObservation { obs_id: OID_01, interval_us: 10, }, + TimingObservation { obs_id: OID_01, interval_us: 10, }, + TimingObservation { obs_id: OID_03, interval_us: 10, }, + TimingObservation { obs_id: OID_04, interval_us: 10, }, + TimingObservation { obs_id: OID_05, interval_us: 10, }, + TimingObservation { obs_id: OID_06, interval_us: 10, }, + TimingObservation { obs_id: OID_07, interval_us: 10, }, + TimingObservation { obs_id: OID_08, interval_us: 10, }, + }; + const v2 = validate_timing_uniformity(&dup_low_mean); + assert(v2.code == TimingUniformityCode.DuplicateId); + assert(v2.idx == 1); + + const low_mean_high_cv: [8]TimingObservation = [8]TimingObservation{ + TimingObservation { obs_id: OID_01, interval_us: 10, }, + TimingObservation { obs_id: OID_02, interval_us: 10, }, + TimingObservation { obs_id: OID_03, interval_us: 10, }, + TimingObservation { obs_id: OID_04, interval_us: 10, }, + TimingObservation { obs_id: OID_05, interval_us: 10, }, + TimingObservation { obs_id: OID_06, interval_us: 10, }, + TimingObservation { obs_id: OID_07, interval_us: 10, }, + TimingObservation { obs_id: OID_08, interval_us: 630, }, + }; + const v3 = validate_timing_uniformity(&low_mean_high_cv); + assert(v3.code == TimingUniformityCode.LowMean); + assert(v3.got64 == 87); + + const boundary_cv: [8]TimingObservation = [8]TimingObservation{ + TimingObservation { obs_id: OID_01, interval_us: 85, }, + TimingObservation { obs_id: OID_02, interval_us: 85, }, + TimingObservation { obs_id: OID_03, interval_us: 85, }, + TimingObservation { obs_id: OID_04, interval_us: 85, }, + TimingObservation { obs_id: OID_05, interval_us: 115, }, + TimingObservation { obs_id: OID_06, interval_us: 115, }, + TimingObservation { obs_id: OID_07, interval_us: 115, }, + TimingObservation { obs_id: OID_08, interval_us: 115, }, + }; + const v4 = validate_timing_uniformity(&boundary_cv); + assert(v4.code == TimingUniformityCode.Ok); +}