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"name": "Every byte value in the secret keys", "kind": "chi-square", "n": 32000000, "statistic": 244.83, "df": 255, "p": 0.6652, "pass": true }, { "id": "swiftDecks.keys.bits", "name": "Ones and zeros in the secret keys", "kind": "rate", "n": 256000000, "count": 127999829, "observed": 0.499999, "expected": 0.5, "z": -0.02138, "p": 0.9829, "pass": true }, { "id": "swiftDecks.keys.repeats", "name": "The same secret key twice", "kind": "exact", "n": 1000000, "count": 0, "what": "two equal keys would be a one in 10^19 event", "p": 1, "pass": true }, { "id": "swiftDecks.sameInJs", "name": "Swift decks the JavaScript code rebuilt differently from the same key", "kind": "exact", "n": 1000000, "count": 0, "what": "every deck rebuilt", "p": 1, "pass": true }, { "id": "swiftDecks.fingerprints", "name": "Swift fingerprints the JavaScript code worked out differently", "kind": "exact", "n": 10000, "count": 0, "what": "every hundredth deck", "p": 1, "pass": true } ] } }, "games": { "js": [ { "id": "js.variant.holdem", "name": "holdem: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 58.397, "df": 51, "p": 0.2221, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "js.variant.omaha", "name": "omaha: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 59.403, "df": 51, "p": 0.1962, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "js.variant.omaha5", "name": "omaha5: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 55.312, "df": 51, "p": 0.3152, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "js.variant.omaha8", "name": "omaha8: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 63.909, "df": 51, "p": 0.1059, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "js.variant.pineapple", "name": "pineapple: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 40.856, "df": 51, "p": 0.8444, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "js.variant.short", "name": "short: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 46.368, "df": 35, "p": 0.09471, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 36 }, { "id": "js.variant.stud7", "name": "stud7: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 78.4, "df": 51, "p": 0.008145, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "js.variant.stud5", "name": "stud5: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 56.317, "df": 51, "p": 0.2827, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "js.variant.stud8", "name": "stud8: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 63.389, "df": 51, "p": 0.1142, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "js.variant.deuce27", "name": "deuce27: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 41.168, "df": 51, "p": 0.8357, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "js.variant.razz", "name": "razz: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 38.048, "df": 51, "p": 0.9104, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "js.variant.horse", "name": "horse: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 57.912, "df": 51, "p": 0.2354, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 } ], "swift": [ { "id": "swift.variant.holdem", "name": "holdem: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 30.04, "df": 51, "p": 0.9915, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "swift.variant.omaha", "name": "omaha: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 51.499, "df": 51, "p": 0.4541, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "swift.variant.omaha5", "name": "omaha5: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 40.405, "df": 51, "p": 0.8565, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "swift.variant.omaha8", "name": "omaha8: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 46.749, "df": 51, "p": 0.6431, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "swift.variant.pineapple", "name": "pineapple: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 41.48, "df": 51, "p": 0.8268, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "swift.variant.short", "name": "short: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 45.192, "df": 35, "p": 0.1161, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 36 }, { "id": "swift.variant.stud7", "name": "stud7: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 44.253, "df": 51, "p": 0.7367, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "swift.variant.stud5", "name": "stud5: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 46.472, "df": 51, "p": 0.6539, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "swift.variant.stud8", "name": "stud8: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 62.453, "df": 51, "p": 0.1306, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "swift.variant.deuce27", "name": "deuce27: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 52.539, "df": 51, "p": 0.4142, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "swift.variant.razz", "name": "razz: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 41.515, "df": 51, "p": 0.8258, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 }, { "id": "swift.variant.horse", "name": "horse: each card as the first card dealt, every lock checked", "kind": "chi-square", "n": 3000, "statistic": 53.475, "df": 51, "p": 0.3794, "pass": true, "hands": 3000, "lockFails": 0, "unlocked": 0, "deckSize": 52 } ] }, "exact": [ { "id": "parity", "name": "Both engines against the fixed examples (SHA-256, HMAC, decks, checks)", "n": 266, "count": 0, "pass": true }, { "id": "js.seatcheat", "name": "Bot decisions made twice, the second time with the hero's cards swapped (JavaScript)", "n": 10000, "count": 0, "pass": true }, { "id": "swift.seatcheat", "name": "Bot decisions made twice, the second time with the hero's cards swapped (Swift)", "n": 10000, "count": 0, "pass": true }, { "id": "js.showdowns", "name": "Showdowns against a slow evaluator written from the rules (JavaScript)", "n": 100000, "count": 0, "pass": true }, { "id": "swift.showdowns", "name": "Showdowns against a slow evaluator written from the rules (Swift)", "n": 100000, "count": 0, "pass": true }, { "id": "js.allins", "name": "All-ins with uneven stacks: every chip and every side pot paid right (JavaScript)", "n": 10000, "count": 0, "pass": true }, { "id": "swift.allins", "name": "All-ins with uneven stacks: every chip and every side pot paid right (Swift)", "n": 10000, "count": 0, "pass": true }, { "id": "js.resume", "name": "Hands stopped half way and picked back up keep their lock (JavaScript)", "n": 600, "count": 0, "pass": true }, { "id": "swift.resume", "name": "Hands stopped half way and picked back up keep their lock (Swift)", "n": 600, "count": 0, "pass": true } ], "method": { "derivation": [ "key: 32 bytes from the device's secure random source, written as 64 hex characters", "fingerprint: SHA-256 of the key's 32 bytes, recorded before the first card", "block b: HMAC-SHA256(key, \"suitedfours deck v1|||\"), read as eight big-endian 32-bit numbers", "deck: the fresh deck shuffled Fisher-Yates from the last card down; for each place i a number below floor(2^32 / (i+1)) * (i+1) picks card (number mod (i+1)), larger numbers are thrown away", "the engine deals from the end of the deck, so the last card is the first one out" ], "js": "/** The endless supply of 32-bit numbers a key, seed and number give. */\nfunction lockStream(key, seed, number) {\n const kb = keyBytes(key) || enc.encode(String(key));\n const prefix = `${LABEL}|${seed}|${number}|`;\n let block = 0, words = null, at = 8;\n return () => {\n if (at >= 8) {\n const d = hmacSha256(kb, enc.encode(prefix + block));\n const v = new DataView(d.buffer);\n words = [0, 1, 2, 3, 4, 5, 6, 7].map((i) => v.getUint32(i * 4));\n block++;\n at = 0;\n }\n return words[at++];\n };\n}\n\n/**\n * The deck a key, seed and number make, in engine order: the engine deals\n * from the end, so the last card is the first one out.\n */\nexport function lockedDeck(key, seed, number, short = false) {\n const cards = makeDeck(short);\n const next = lockStream(key, String(seed ?? \"\"), number);\n for (let i = cards.length - 1; i > 0; i--) {\n const n = i + 1;\n const limit = Math.floor(0x100000000 / n) * n;\n let x = next();\n while (x >= limit) x = next();\n const j = x % n;\n [cards[i], cards[j]] = [cards[j], cards[i]];\n }\n return cards;\n}\n", "swift": "/// The endless supply of 32-bit numbers a key, seed and number give.\nstruct LockStream {\n let key: [UInt8]\n let prefix: String\n var block = 0\n var words: [UInt32] = []\n var at = 0\n\n init(key: [UInt8], seed: String, number: Int) {\n self.key = key\n self.prefix = \"\\(deckLockLabel)|\\(seed)|\\(number)|\"\n }\n\n mutating func next() -> UInt32 {\n if at >= words.count {\n let text: String = prefix + String(block)\n let message: [UInt8] = Array(text.utf8)\n let d: [UInt8] = hmacSHA256(key: key, message: message)\n words.removeAll(keepingCapacity: true)\n var i: Int = 0\n while i < 32 {\n let b0: UInt32 = UInt32(d[i])\n let b1: UInt32 = UInt32(d[i + 1])\n let b2: UInt32 = UInt32(d[i + 2])\n let b3: UInt32 = UInt32(d[i + 3])\n let w: UInt32 = (b0 << 24) | (b1 << 16) | (b2 << 8) | b3\n words.append(w)\n i += 4\n }\n block += 1\n at = 0\n }\n let w = words[at]\n at += 1\n return w\n }\n}\n\n/// The deck a key, seed and number make, in engine order: the engine deals\n/// from the end, so the last card is the first one out.\npublic func lockedDeck(key: String, seed: String, number: Int, short: Bool = false) -> [Card] {\n var cards = makeDeck(short: short)\n var stream = LockStream(key: keyBytes(key) ?? Array(key.utf8), seed: seed, number: number)\n var i = cards.count - 1\n while i > 0 {\n let n: UInt64 = UInt64(i + 1)\n let span: UInt64 = 1 << 32\n let limit: UInt64 = (span / n) * n\n var x: UInt64 = UInt64(stream.next())\n while x >= limit { x = UInt64(stream.next()) }\n let j: Int = Int(x % n)\n cards.swapAt(i, j)\n i -= 1\n }\n return cards\n}\n" }, "dataset": { "file": "/fair/deals-100k.csv.gz", "rows": 100000, "bytes": 14419437, "sha256": "4c67a32d856469b7ec5ef8b7d021bc3510221ca1a3b2297c563a52e99c9f4c8c", "columns": "number,seed,key,fingerprint,deck (card ids in the order they were dealt, first card first)" }, "summary": { "date": "2026-10-06", "lines": [ "2,000,000 hands dealt by the app's two engines and 3,000,000 more whole decks, each one checked against its lock: every one matched.", "Every card, and every one of the 169 starting hands, came up as often as a fair deck gives, in every seat. Pocket pairs came 5.88% of the time; a fair deck gives 5.88%.", "When one hand was a big favourite all in on the turn, it held 91.3% of the time. The cards said 91.4%.", "20,000 bot decisions were made twice, the second time with your cards swapped for others. Every one came out the same.", "111 of 111 tests passed." ] } }