bitrep 0.2.0

Order-invariant, bit-identical floating-point reductions. Any order. Any hardware. Same bits.
Documentation
{
  "format": 1,
  "see": "FORMAT.md",
  "cases": [
    {
      "name": "empty",
      "input_bits": [],
      "state_hex": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
      "value_bits": "0000000000000000"
    },
    {
      "name": "zeros_and_neg_zero",
      "input_bits": ["0000000000000000", "8000000000000000", "0000000000000000"],
      "state_hex": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000",
      "value_bits": "0000000000000000"
    },
    {
      "name": "cancellation",
      "input_bits": ["54b249ad2594c37d", "01a56e1fc2f8f359", "d4b249ad2594c37d"],
      "state_hex": "000000b2e6f1853fdc2a00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000",
      "value_bits": "01a56e1fc2f8f359"
    },
    {
      "name": "subnormals",
      "input_bits": ["0000000000000001", "0000000000000001", "8000000000000002", "0010000000000000"],
      "state_hex": "0000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000400000000000000",
      "value_bits": "0010000000000000"
    },
    {
      "name": "overflow_to_inf",
      "input_bits": ["7fefffffffffffff", "7fefffffffffffff", "bff0000000000000"],
      "state_hex": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000fcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffbfffffffffffff07000000000000000000000300000000000000",
      "value_bits": "7ff0000000000000"
    },
    {
      "name": "single_inf",
      "input_bits": ["7ff0000000000000", "3ff0000000000000"],
      "state_hex": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000020200000000000000",
      "value_bits": "7ff0000000000000"
    },
    {
      "name": "inf_conflict_nan",
      "input_bits": ["7ff0000000000000", "fff0000000000000"],
      "state_hex": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000060200000000000000",
      "value_bits": "7ff8000000000000"
    },
    {
      "name": "nan",
      "input_bits": ["7ff8000000000000", "4000000000000000"],
      "state_hex": "0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010200000000000000",
      "value_bits": "7ff8000000000000"
    },
    {
      "name": "extremes",
      "input_bits": ["7fefffffffffffff", "ffefffffffffffff", "0010000000000000", "8000000000000001"],
      "state_hex": "ffffffffffff0f00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000400000000000000",
      "value_bits": "000fffffffffffff"
    },
    {
      "name": "random_1000_full_range",
      "input_bits": ["dc1b77ae0bf34dad", "64f0eeb9026e6076", "7b07ce91e5906136", "305f050c368dcc74", "2ceb16e0a1c54aec", "97101dce4e7bfb79", "9ad2e144d6e8f2cf", "d9aa792e1af470ea", "ddaa4e85b0d6e28b", "8f8ea9d349428d8e", "08f474ffb8e8ab15", "2ead854756d71f03", "55bc79f8ada711fd", "0e1fc49bd63b809e", "b92199e83f5a101f", "c5765079fc5d43ff", "353cfc387dfae6b8", "a32edabf5585bd75", "fc5639b16b714b4f", "92fb2dcfc8ae9a19", "544b0ec76d00616d", "bcbb9b7e9a319aef", "0f1a50d59c0aa21a", "80ae2120826571de", "0e1ecd02ed7c0cbd", "0d0981e8c1fa7be4", "dc86b3d3cdbdf613", "6d0844c269e7693f", "3681da7f6993082d", "5b928e2c987d857d", "6c716e1e6ced8137", "ccb870213498f7f5", "9f07b27a78869b5a", "b0ba91e47f6200ec", "c72b4c36d0db7fed", "35f305b0c0fc9252", "7ac78fb373ffbff6", "8e39b81de71b7d09", "59a69ba126cd29b3", "bfcbffff0cbcbf20", "2d1ce28856d20e5e", "572a15ed48b3fdc2", "32b911499417aab9", "17a8ec88e0da0bac", "0cc88eab2f9ad4bb", "bc3a5b419a43afd2", "6f0f3414c47c9c0d", "e71a7567edb8c675", "63674cf841ee8ab9", "e375837da840d9ec", "578eb22e1ea5a35f", "4efa582ee029dfd9", "f3b363e938295a26", "2e3a4ef3496f4112", "b809d78e2a2f9b10", "46217f104eb30026", "8947b5fefda6afa6", "4a3ae29b2af0cb79", "bfd0273b10a6d4af", "ed0a00eb302b52c6", "3c0a45ad6d0175e3", "5bec25a986aa6fc8", "904bc2dda0ebc917", "459ae6d82ef0bb45", "d8f30b16630d2b73", "7110b72632258de5", "543b14bc79e21fbe", "b3afb674d263f401", "992a5514fae813a9", "65950d0578f009ce", "5703572bfb805a5d", "f58b6a5f9c786da9", "a837793e9e8ad732", "50eabc7287dc4e1c", "4dca1d57ff03f180", "4899ff11c2f79663", "16166c76ad45818f", "cb74ca30b3d6894c", "217355871886f75e", "28a1e2393381ed30", "074c31b6d9efa2ea", "bec4688d35b7872f", "f8fd0016351ac3e1", "2a3e36405bf02e26", "4fa794552d7c87fa", "6b65fa68c812c075", "b0d838d4f45658b5", "f088256e71b67944", "b4d1bf49868fc4b6", "7f30634d239b36bf", "9adf073ca7e24f12", "bf023d5f71c40f0c", "f8daff4ab7e1c412", "3bb60a1f6449431a", "e1b6cc3fce8a571c", "974be547500504b2", "788637bdbb04623b", "78b479878553843f", "f614dc4037d1ccf7", "ab5917a81f0fb2ae", "107db970f61ec64b", "a7e591e85a840907", "42e87faaebb9a0d5", "7cb7d0a0e9b446d4", "93b411557b1e1b59", "17282941775bd12f", "1d6eb56cc3fecd4d", "9cc6d38ebb4dc397", "93e7f09c76995dd0", "40481181f54f1b6b", "fc10536a39343f9d", "2b59a11006fe10a2", "b25de04b53658403", "482f7b77f3b42fcb", "aa19ef48de09d554", "bc1efbb4d09613fe", "01640cfd5e7e0059", "2103a6ef6f7bca19", "ba59dbbf218e9bcd", "47cfbdd44466d5ba", "0f7180ea42ce3691", "1d57d70abe6c2ebc", "3df4865f060ed9e1", "9cc2d942d8ac9c12", "68c29c22e6ec81aa", "a1cd5d166c667229", "950c6175be7d148d", "3f3e42bdb31d6de4", "b8e8620efee2ae3f", "6892f24f073504a3", "7faf4d50b83a266a", "36eff6fe424288a6", "7436a02ab71ee437", "833a63ba9131343f", "992cb64cfdf7b997", "c8b93e004898d324", "645d2dce235dab82", "808a9a75bdabb055", "995531f7eedc5275", "087d63039379d791", "f3c9caffb024e07e", "ea06a464360f763e", "53361012dddd2752", "d66a74b438fd099c", "8d5497b6e7e3148f", "00252f2c32b41166", "f4dba3db8471e0c4", "a447b4c07713b205", "58d68ff52d13b421", "7c3d90428332bb09", "98e09052e5853c3f", "b90814763588d987", "04349ea8330d49f4", "213e49f755c9ae67", "adc15b82753344fb", "69a0dc20acf37cb2", "729bfdea5375f6cb", "f8eb32047bbbcfe6", "4b85228ee7b181f9", "41031bc75f55bcba", "2da461eb41957943", "d74e810a9b826371", "1cdd495915ad9bf7", "baeb7806c59edd00", "3ba89ff13576a0ba", "005ca96b1855237b", "c7b1d77110b837fd", "69bcfe5aebcf18d2", "6f51d1ecaa02f263", "6d8dc769b3280f47", "b51767a476976e99", "0418c241fa7ac604", "a581230adaef3288", "f1ac9d290f1d4eed", "3dabc8a9eded6f30", "55cb59e89b5779ee", "72a54713a9b86c9d", "a3726687db6b9b04", "5fdf2267673f0d32", "68dfe63578c47fa8", "624e220196711d57", "be9e598ebfea4aad", "d79af3ca3ba29578", "6f5e5868097b8e52", "5af01374addcadce", "2faaf7e9e83fa715", "bb42e4b2bad2bd1b", "d30563d941e93ea1", "1167ea9167c9649c", "b6249a7c39665155", "b3f56e3e83c468b7", "a87bdea4d9832da6", "e437318091b5827d", "59e1b682e1cbd639", "7d32511b3390efd5", "1d70ed6acaa29b4a", "1e71c6a67d004cfc", "a0c0b3f99ebcf365", "498e468dbb57f3c3", "1c54594f126dcce4", "16ba1d39f25cae7d", "67de1f8cd39e2861", "108e0b8ab05d2c71", "96288ccb432aaa69", "887013f1c0b1457d", "e47a782d96a0d8b7", "c0f1c836d72154c6", "01ea4c72979ce7ef", "e58cc45382b7c5e0", "0f265892d429d26b", "119be96337a67b0f", "ad7f4ee4ff441439", "69765cdf019ab251", "6c83796be9953375", "b30aa29935c26453", "88c5405c130c945b", "9ffcaab00de2fbb3", "f60b6a392f39b284", "34f99df66499e0e1", "b8c6fbae04f4cb60", "ddf1a401094ffaf6", "24e629d896fb1883", "e2fd7570a6e4ae72", "c21511f61c10bbae", "6b4a433781c1b159", "f7b9bb632073447b", "28f350082a0bdc33", "21b037be8db8a74b", "f4827d0343e964c5", "18fd760add37274c", "1cbe96ad55a91a02", "1b376669576888b6", "862f25f826bcb427", "608edfdda646248f", "b98511e79e1e6b06", "384ea650b7785650", "9ee03c4ca73132fc", "6facd3230b5e6f99", "b27b8d6c7d2c1506", "9fc9762bf52bccac", "915133d1f1cd3035", "01a2553b894e0715", "1727f4259189fe5b", "e9410ea4b1d01b67", "ae5bac1c8afb8291", "c01d77809ef4f1d4", "131dc70966a1ed37", "8ebed168e7eb032d", "8027b30dd057be6b", "7c80d6befe7bebd7", "285d676d738709c0", "d4a6fbbb463c77d3", "6b7252f506af9bfc", "76e7c3b3c3adbbcb", "beef68cb1cc5727c", "9ddbcc9adadfe798", "e85d4e2fd8cebe57", "49a34268cecc56eb", "2fa1ca340f951486", "1c68c5ee9e01df2f", "7cd94d5d160df751", "415f292fa04818ff", "f40bf4be400d570e", "82042eb409794e20", "1255273c7f8434bc", "2ce50c5e474b93d5", "be08af88f83f51b2", "2d725bb40b0f0391", "c0085237f307d9d6", "a9c57d5561e763e5", "1bf5b3cab644f462", "5547a5fa668d250a", "914833a9ee283dc0", "7ef314f60b351dbb", "00221d9d7b537940", "60336535e5378fb2", "e8cc97f0aab24c2d", "b581ba40a91b83f5", "fbb60192cdb3e9b2", "9adaa35dbc26a2e1", "22cdc3a4356277e4", "f488e151ff7fca0b", "df756f66d48cd75f", "7f45c76b5299f931", "3ee3c6ab5062a683", "c54654890ca7a30e", "b8275d981ca7efc8", "be5287885cb25217", "79729ebc8c3b5373", "a0bb6616a3b39915", "4fe9636427fe1b67", "bbeb4ae36e79de91", "41d653635fd8a96c", "137fb828fc1cc33e", "407a3783d8c3f538", "b6827a52e88c3cd2", "9620649d499e502b", "cfed170dd20a064b", "05faa3dbcae8e087", "e3456f983a59f086", "462e4081e78fa2e7", "8e33e7613b30e462", "0c342c6093a7dd2a", "147bcfcd70f29810", "a7786e7e77f77920", "3461fc042646dfd2", "7f8c72b2a99de6ed", "d7a5bd1b9baac660", "e722fe3209380bec", "554332c123a300fb", "724d72ee194f183a", "fce07bdde4a8c88a", "13f028439b74fb9b", "41e31784775794ac", "5fed0fcf79c39085", "6d8502bfc80c96e4", "70db12824bf7b6c9", "8838c5e2d39ccbe4", "bcf946457e938b73", "8191c98000a810a5", "addcdb75bb31c9c4", "274842d113a35b57", "a7842014627a2821", "61c683627952f431", "8368f6e64ca97d99", "32945cb557986922", "5f255fb874e95170", "1e35dd72abdedfd2", "dae27a90cf1ed6ed", "93f0e46413e8f000", "b3c8e1337c3321e0", "09e1b7d60d793fa3", "be4ef12552e0451c", "7f35de212ddb4296", "f5a2fa6852249193", "f4231ce12176dc70", "1bec8ca43e9d2dc8", "7dae1345bf346593", "ed6dc22866d10998", "6b5dd9b4387bcd8b", "c1c7e69446e938d0", "b444a2f44e72dea1", "1e82dc770735b35c", "0c5700918c488f3a", "9b68e2538ddc90a4", "2bb34920cefd8085", "beaf7e7f7598fac4", "f219b5c60677fa31", "aaede6659bc9b985", "39603cf742ccebb6", "6c8c2d0d3dc75fe1", "4bbeaa8eafab091e", "dcd8d3ae880dd88c", "7674825ead00603d", "b55191dac33fcfbd", "be389d55be79ff62", "b15667e29cae941c", "bd6e217d3cd94e34", "7264b7803a65f1a8", "d607a31dbdce504b", "9b3aa2dc437ebe2b", "1f320fc3a0bca997", "8030d4e937ed5504", "c879c11e292b4eae", "91dcdccdd11973b3", "d217a900b9b9cd94", "85ee0f5d59155b0f", "1ae3b417a9625279", "6bcaaa6fc5d1289d", "861aca76501b0d8c", "8e011fe66ae7d897", "fe99e0b2411ad2e6", "ac8ac52104f69ec3", "852fe975eefca33e", "d4f70adf859e55f8", "72f68ce6b9191753", "bcc8aefb33be91bd", "667e1789bff623de", "d9a914c26548f819", "8f7063a533ed4fa9", "1aa49a0b95c05f76", "ce33d1477d82c248", "a4669f8a601855cc", "8f240cc754ba9667", "3198d369936c9a8b", "3e2e1abd0ac1817e", "6da6a9a5cb639dfc", "d03363b36023a5c7", "b66d70cc9c2a734c", "0d5a8941a8b374aa", "ee948a7b982c78c3", "e23d98b80afe70f2", "c820da07ea4ff093", "1cc7f7eadf112bb2", "515f0e77a159a565", "02a08015f200ef6f", "e6d5f24ceed0d571", "f6bee465c8a0089b", "59f06d8b36b40e4a", "467f916c65bfb4d6", "c6faf1e6587d3e3f", "f4cfee177b43ab83", "3fe4fb22a807ac14", "ff3d9d0255a6264c", "943714830e4d7900", "010a53ff73cba3f2", "e61941881bd08835", "eb5bcff0e6098465", "a2aff2c7e9722e2d", "9fa21e2bbd8ce131", "934d8c9a3c8f94b3", "cfa0c5965731c75a", "80613564ebad3254", "c102edb9951c7d30", "f4c4e9ba3d1b09ca", "fbaa947174280d59", "4f75c951cb6e2b03", "680ba3f8d9385795", "bf108974a899627a", "6fdcf7e057a38e3e", "891ea0bf036c86a2", "f9153f6c58c1b72f", "d47c48ecb9fa1f81", "6503a7900a022bfe", "9ae99a5bcfb11029", "e424cab406fd5849", "20765ba05bdd90b9", "4220e84815a925d8", "2dc62fc8c8560193", "78b05046ded4a950", "874b1c59db6d5402", "abfd9567855ace2a", "976d4d4a274ab136", "3dd9eead6426a9d4", "b5579e51c1701187", "7c76e4bfdc0e7064", "1ba0014d852ef584", "5ea9b4d919f7496f", "8d728cbe07411c3d", "d0c197d0ea053145", "18f524eef87bca67", "e93cae7cca534433", "debb4e79d3668e7b", "8fe0cda453e2bda7", "49d787ea5666f11c", "8921121732a9fbfe", "cd602031a6df9789", "7973d9ce554aeae6", "0ccd0b4dcb6006b3", "5a74eb079cdd0a7e", "a7c03b7eda3defea", "de1c95e748652eb5", "341d48c3e938e9a8", "e3214444d913f27b", "d38e58fc3cac2b5f", "e10e29bfe32644c9", "68909da0a9e81a00", "f8cbe27605954a34", "d48e6395feca6da0", "532571c508ee917b", "2a153d918e467299", "083fa76b02ed783c", "385ae3da9b292dcc", "83547005d8c38c97", "c859468c0e9fce4e", "4ceb47a00c1ca252", "d508c663404a4f96", "82329c6120b9fe89", "5a1023aaed3e0f34", "373bd9f34ad53e2a", "3b0cc65c03665ed6", "33f99ae766fbe7eb", "790ce8b17ffa8ae4", "005397363f1946f1", "06b941a56d90e83c", "c14e4b23d3ae46ec", "c2530bbef5872161", "9b2a87b4a34e5763", "9dbe0d18356b730d", "3fe152dbbceac6ab", "b78982e3da3bd9e6", "227582ddc7ef17d5", "5fa2aceb5c2b9cba", "7bea5f27b9e5a503", "5af8c3f5a64d4e89", "b5a794d4db2b5654", "aceed0aaf97215f8", "87211deead1c8fd3", "466ebce3e287220c", "dab5e4a43e5b2f48", "25be2ba313294b16", "5ba0b12b8e3f1c00", "dbc5a1a571146238", "b41f08cb7b51c4fc", "837069fdb1a3d875", "0fbff2061c322285", "6fda7e47d7d24780", "633b698ce202030f", "ce58966972b524c9", 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