From: Matt Corallo Date: Sun, 3 Apr 2022 20:16:03 +0000 (+0000) Subject: Expand the precision of our log10 lookup tables + add precision X-Git-Tag: v0.0.107~65^2~1 X-Git-Url: http://git.bitcoin.ninja/index.cgi?a=commitdiff_plain;h=4930af9b54840fb19e3258f70f73034eb0a003c7;p=rust-lightning Expand the precision of our log10 lookup tables + add precision When we send values over channels of rather substantial size, the imprecision of our log lookup tables creates a rather substantial non-linearity between values that round up or down one bit. For example, with the default scoring values, sending 100k sats over channels with 1m, 2m, 3m, and 4m sats of capacity score rather drastically differently: 3645, 2512, 500, and 1442 msat. Here we expand the precision of our log lookup tables rather substantially by: (a) making the multiplier 2048 instead of 1024, which still fits inside a u16, and (b) quadrupling the size of the lookup table to look at the top 6 bits after the most-significant bit of an input instead of the top 4. This makes the scores of the same channels substantially more linear, with values of 3613, 1977, 1474, and 1223 msat. The same channels would be scored at 3611, 1972, 1464, and 1216 msat with a non-approximating scorer. --- diff --git a/lightning/src/routing/scoring.rs b/lightning/src/routing/scoring.rs index d21d8fa3b..b40810525 100644 --- a/lightning/src/routing/scoring.rs +++ b/lightning/src/routing/scoring.rs @@ -721,33 +721,33 @@ impl, T: Time, U: Deref> DirectedChannelLiqui } else { // Equivalent to hitting the else clause below with the amount equal to the // effective capacity and without any certainty on the liquidity upper bound. - let negative_log10_times_1024 = NEGATIVE_LOG10_UPPER_BOUND * 1024; - self.combined_penalty_msat(amount_msat, negative_log10_times_1024, params) + let negative_log10_times_2048 = NEGATIVE_LOG10_UPPER_BOUND * 2048; + self.combined_penalty_msat(amount_msat, negative_log10_times_2048, params) } } else { let numerator = (max_liquidity_msat - amount_msat).saturating_add(1); let denominator = (max_liquidity_msat - min_liquidity_msat).saturating_add(1); - let negative_log10_times_1024 = - approx::negative_log10_times_1024(numerator, denominator); - self.combined_penalty_msat(amount_msat, negative_log10_times_1024, params) + let negative_log10_times_2048 = + approx::negative_log10_times_2048(numerator, denominator); + self.combined_penalty_msat(amount_msat, negative_log10_times_2048, params) } } /// Computes the liquidity and amount penalties and adds them to the base penalty. #[inline(always)] fn combined_penalty_msat( - &self, amount_msat: u64, negative_log10_times_1024: u64, + &self, amount_msat: u64, negative_log10_times_2048: u64, params: ProbabilisticScoringParameters ) -> u64 { let liquidity_penalty_msat = { // Upper bound the liquidity penalty to ensure some channel is selected. let multiplier_msat = params.liquidity_penalty_multiplier_msat; let max_penalty_msat = multiplier_msat.saturating_mul(NEGATIVE_LOG10_UPPER_BOUND); - (negative_log10_times_1024.saturating_mul(multiplier_msat) / 1024).min(max_penalty_msat) + (negative_log10_times_2048.saturating_mul(multiplier_msat) / 2048).min(max_penalty_msat) }; - let amount_penalty_msat = negative_log10_times_1024 + let amount_penalty_msat = negative_log10_times_2048 .saturating_mul(params.amount_penalty_multiplier_msat) - .saturating_mul(amount_msat) / 1024 / AMOUNT_PENALTY_DIVISOR; + .saturating_mul(amount_msat) / 2048 / AMOUNT_PENALTY_DIVISOR; params.base_penalty_msat .saturating_add(liquidity_penalty_msat) @@ -888,92 +888,284 @@ impl, T: Time> Score for ProbabilisticScorerUsin mod approx { const BITS: u32 = 64; const HIGHEST_BIT: u32 = BITS - 1; - const LOWER_BITS: u32 = 4; + const LOWER_BITS: u32 = 6; const LOWER_BITS_BOUND: u64 = 1 << LOWER_BITS; const LOWER_BITMASK: u64 = (1 << LOWER_BITS) - 1; - /// Look-up table for `log10(x) * 1024` where row `i` is used for each `x` having `i` as the + /// Look-up table for `log10(x) * 2048` where row `i` is used for each `x` having `i` as the /// most significant bit. The next 4 bits of `x`, if applicable, are used for the second index. - const LOG10_TIMES_1024: [[u16; LOWER_BITS_BOUND as usize]; BITS as usize] = [ - [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], - [308, 308, 308, 308, 308, 308, 308, 308, 489, 489, 489, 489, 489, 489, 489, 489], - [617, 617, 617, 617, 716, 716, 716, 716, 797, 797, 797, 797, 865, 865, 865, 865], - [925, 925, 977, 977, 1024, 1024, 1066, 1066, 1105, 1105, 1141, 1141, 1174, 1174, 1204, 1204], - [1233, 1260, 1285, 1309, 1332, 1354, 1375, 1394, 1413, 1431, 1449, 1466, 1482, 1497, 1513, 1527], - [1541, 1568, 1594, 1618, 1641, 1662, 1683, 1703, 1722, 1740, 1757, 1774, 1790, 1806, 1821, 1835], - [1850, 1876, 1902, 1926, 1949, 1970, 1991, 2011, 2030, 2048, 2065, 2082, 2098, 2114, 2129, 2144], - [2158, 2185, 2210, 2234, 2257, 2279, 2299, 2319, 2338, 2356, 2374, 2390, 2407, 2422, 2437, 2452], - [2466, 2493, 2518, 2542, 2565, 2587, 2608, 2627, 2646, 2665, 2682, 2699, 2715, 2731, 2746, 2760], - [2774, 2801, 2827, 2851, 2874, 2895, 2916, 2936, 2955, 2973, 2990, 3007, 3023, 3039, 3054, 3068], - [3083, 3110, 3135, 3159, 3182, 3203, 3224, 3244, 3263, 3281, 3298, 3315, 3331, 3347, 3362, 3377], - [3391, 3418, 3443, 3467, 3490, 3512, 3532, 3552, 3571, 3589, 3607, 3623, 3640, 3655, 3670, 3685], - [3699, 3726, 3751, 3775, 3798, 3820, 3841, 3860, 3879, 3898, 3915, 3932, 3948, 3964, 3979, 3993], - [4007, 4034, 4060, 4084, 4107, 4128, 4149, 4169, 4188, 4206, 4223, 4240, 4256, 4272, 4287, 4301], - [4316, 4343, 4368, 4392, 4415, 4436, 4457, 4477, 4496, 4514, 4531, 4548, 4564, 4580, 4595, 4610], - [4624, 4651, 4676, 4700, 4723, 4745, 4765, 4785, 4804, 4822, 4840, 4857, 4873, 4888, 4903, 4918], - [4932, 4959, 4984, 5009, 5031, 5053, 5074, 5093, 5112, 5131, 5148, 5165, 5181, 5197, 5212, 5226], - [5240, 5267, 5293, 5317, 5340, 5361, 5382, 5402, 5421, 5439, 5456, 5473, 5489, 5505, 5520, 5534], - [5549, 5576, 5601, 5625, 5648, 5670, 5690, 5710, 5729, 5747, 5764, 5781, 5797, 5813, 5828, 5843], - [5857, 5884, 5909, 5933, 5956, 5978, 5998, 6018, 6037, 6055, 6073, 6090, 6106, 6121, 6136, 6151], - [6165, 6192, 6217, 6242, 6264, 6286, 6307, 6326, 6345, 6364, 6381, 6398, 6414, 6430, 6445, 6459], - [6473, 6500, 6526, 6550, 6573, 6594, 6615, 6635, 6654, 6672, 6689, 6706, 6722, 6738, 6753, 6767], - [6782, 6809, 6834, 6858, 6881, 6903, 6923, 6943, 6962, 6980, 6998, 7014, 7030, 7046, 7061, 7076], - [7090, 7117, 7142, 7166, 7189, 7211, 7231, 7251, 7270, 7288, 7306, 7323, 7339, 7354, 7369, 7384], - [7398, 7425, 7450, 7475, 7497, 7519, 7540, 7560, 7578, 7597, 7614, 7631, 7647, 7663, 7678, 7692], - [7706, 7733, 7759, 7783, 7806, 7827, 7848, 7868, 7887, 7905, 7922, 7939, 7955, 7971, 7986, 8001], - [8015, 8042, 8067, 8091, 8114, 8136, 8156, 8176, 8195, 8213, 8231, 8247, 8263, 8279, 8294, 8309], - [8323, 8350, 8375, 8399, 8422, 8444, 8464, 8484, 8503, 8521, 8539, 8556, 8572, 8587, 8602, 8617], - [8631, 8658, 8684, 8708, 8730, 8752, 8773, 8793, 8811, 8830, 8847, 8864, 8880, 8896, 8911, 8925], - [8939, 8966, 8992, 9016, 9039, 9060, 9081, 9101, 9120, 9138, 9155, 9172, 9188, 9204, 9219, 9234], - [9248, 9275, 9300, 9324, 9347, 9369, 9389, 9409, 9428, 9446, 9464, 9480, 9497, 9512, 9527, 9542], - [9556, 9583, 9608, 9632, 9655, 9677, 9698, 9717, 9736, 9754, 9772, 9789, 9805, 9820, 9835, 9850], - [9864, 9891, 9917, 9941, 9963, 9985, 10006, 10026, 10044, 10063, 10080, 10097, 10113, 10129, 10144, 10158], - [10172, 10199, 10225, 10249, 10272, 10293, 10314, 10334, 10353, 10371, 10388, 10405, 10421, 10437, 10452, 10467], - [10481, 10508, 10533, 10557, 10580, 10602, 10622, 10642, 10661, 10679, 10697, 10713, 10730, 10745, 10760, 10775], - [10789, 10816, 10841, 10865, 10888, 10910, 10931, 10950, 10969, 10987, 11005, 11022, 11038, 11053, 11068, 11083], - [11097, 11124, 11150, 11174, 11196, 11218, 11239, 11259, 11277, 11296, 11313, 11330, 11346, 11362, 11377, 11391], - [11405, 11432, 11458, 11482, 11505, 11526, 11547, 11567, 11586, 11604, 11621, 11638, 11654, 11670, 11685, 11700], - [11714, 11741, 11766, 11790, 11813, 11835, 11855, 11875, 11894, 11912, 11930, 11946, 11963, 11978, 11993, 12008], - [12022, 12049, 12074, 12098, 12121, 12143, 12164, 12183, 12202, 12220, 12238, 12255, 12271, 12286, 12301, 12316], - [12330, 12357, 12383, 12407, 12429, 12451, 12472, 12492, 12511, 12529, 12546, 12563, 12579, 12595, 12610, 12624], - [12638, 12665, 12691, 12715, 12738, 12759, 12780, 12800, 12819, 12837, 12854, 12871, 12887, 12903, 12918, 12933], - [12947, 12974, 12999, 13023, 13046, 13068, 13088, 13108, 13127, 13145, 13163, 13179, 13196, 13211, 13226, 13241], - [13255, 13282, 13307, 13331, 13354, 13376, 13397, 13416, 13435, 13453, 13471, 13488, 13504, 13519, 13535, 13549], - [13563, 13590, 13616, 13640, 13662, 13684, 13705, 13725, 13744, 13762, 13779, 13796, 13812, 13828, 13843, 13857], - [13871, 13898, 13924, 13948, 13971, 13992, 14013, 14033, 14052, 14070, 14087, 14104, 14120, 14136, 14151, 14166], - [14180, 14207, 14232, 14256, 14279, 14301, 14321, 14341, 14360, 14378, 14396, 14412, 14429, 14444, 14459, 14474], - [14488, 14515, 14540, 14564, 14587, 14609, 14630, 14649, 14668, 14686, 14704, 14721, 14737, 14752, 14768, 14782], - [14796, 14823, 14849, 14873, 14895, 14917, 14938, 14958, 14977, 14995, 15012, 15029, 15045, 15061, 15076, 15090], - [15104, 15131, 15157, 15181, 15204, 15225, 15246, 15266, 15285, 15303, 15320, 15337, 15353, 15369, 15384, 15399], - [15413, 15440, 15465, 15489, 15512, 15534, 15554, 15574, 15593, 15611, 15629, 15645, 15662, 15677, 15692, 15707], - [15721, 15748, 15773, 15797, 15820, 15842, 15863, 15882, 15901, 15919, 15937, 15954, 15970, 15985, 16001, 16015], - [16029, 16056, 16082, 16106, 16128, 16150, 16171, 16191, 16210, 16228, 16245, 16262, 16278, 16294, 16309, 16323], - [16337, 16364, 16390, 16414, 16437, 16458, 16479, 16499, 16518, 16536, 16553, 16570, 16586, 16602, 16617, 16632], - [16646, 16673, 16698, 16722, 16745, 16767, 16787, 16807, 16826, 16844, 16862, 16878, 16895, 16910, 16925, 16940], - [16954, 16981, 17006, 17030, 17053, 17075, 17096, 17115, 17134, 17152, 17170, 17187, 17203, 17218, 17234, 17248], - [17262, 17289, 17315, 17339, 17361, 17383, 17404, 17424, 17443, 17461, 17478, 17495, 17511, 17527, 17542, 17556], - [17571, 17597, 17623, 17647, 17670, 17691, 17712, 17732, 17751, 17769, 17786, 17803, 17819, 17835, 17850, 17865], - [17879, 17906, 17931, 17955, 17978, 18000, 18020, 18040, 18059, 18077, 18095, 18111, 18128, 18143, 18158, 18173], - [18187, 18214, 18239, 18263, 18286, 18308, 18329, 18348, 18367, 18385, 18403, 18420, 18436, 18452, 18467, 18481], - [18495, 18522, 18548, 18572, 18595, 18616, 18637, 18657, 18676, 18694, 18711, 18728, 18744, 18760, 18775, 18789], - [18804, 18830, 18856, 18880, 18903, 18924, 18945, 18965, 18984, 19002, 19019, 19036, 19052, 19068, 19083, 19098], - [19112, 19139, 19164, 19188, 19211, 19233, 19253, 19273, 19292, 19310, 19328, 19344, 19361, 19376, 19391, 19406], - [19420, 19447, 19472, 19496, 19519, 19541, 19562, 19581, 19600, 19619, 19636, 19653, 19669, 19685, 19700, 19714], + const LOG10_TIMES_2048: [[u16; (LOWER_BITS_BOUND) as usize]; BITS as usize] = [ + [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, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, + 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, 617, + 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, + 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977, 977], + [1233, 1233, 1233, 1233, 1233, 1233, 1233, 1233, 1233, 1233, 1233, 1233, 1233, 1233, 1233, 1233, + 1431, 1431, 1431, 1431, 1431, 1431, 1431, 1431, 1431, 1431, 1431, 1431, 1431, 1431, 1431, 1431, + 1594, 1594, 1594, 1594, 1594, 1594, 1594, 1594, 1594, 1594, 1594, 1594, 1594, 1594, 1594, 1594, + 1731, 1731, 1731, 1731, 1731, 1731, 1731, 1731, 1731, 1731, 1731, 1731, 1731, 1731, 1731, 1731], + [1850, 1850, 1850, 1850, 1850, 1850, 1850, 1850, 1954, 1954, 1954, 1954, 1954, 1954, 1954, 1954, + 2048, 2048, 2048, 2048, 2048, 2048, 2048, 2048, 2133, 2133, 2133, 2133, 2133, 2133, 2133, 2133, + 2210, 2210, 2210, 2210, 2210, 2210, 2210, 2210, 2281, 2281, 2281, 2281, 2281, 2281, 2281, 2281, + 2347, 2347, 2347, 2347, 2347, 2347, 2347, 2347, 2409, 2409, 2409, 2409, 2409, 2409, 2409, 2409], + [2466, 2466, 2466, 2466, 2520, 2520, 2520, 2520, 2571, 2571, 2571, 2571, 2619, 2619, 2619, 2619, + 2665, 2665, 2665, 2665, 2708, 2708, 2708, 2708, 2749, 2749, 2749, 2749, 2789, 2789, 2789, 2789, + 2827, 2827, 2827, 2827, 2863, 2863, 2863, 2863, 2898, 2898, 2898, 2898, 2931, 2931, 2931, 2931, + 2964, 2964, 2964, 2964, 2995, 2995, 2995, 2995, 3025, 3025, 3025, 3025, 3054, 3054, 3054, 3054], + [3083, 3083, 3110, 3110, 3136, 3136, 3162, 3162, 3187, 3187, 3212, 3212, 3235, 3235, 3259, 3259, + 3281, 3281, 3303, 3303, 3324, 3324, 3345, 3345, 3366, 3366, 3386, 3386, 3405, 3405, 3424, 3424, + 3443, 3443, 3462, 3462, 3479, 3479, 3497, 3497, 3514, 3514, 3531, 3531, 3548, 3548, 3564, 3564, + 3580, 3580, 3596, 3596, 3612, 3612, 3627, 3627, 3642, 3642, 3656, 3656, 3671, 3671, 3685, 3685], + [3699, 3713, 3726, 3740, 3753, 3766, 3779, 3791, 3804, 3816, 3828, 3840, 3852, 3864, 3875, 3886, + 3898, 3909, 3919, 3930, 3941, 3951, 3962, 3972, 3982, 3992, 4002, 4012, 4022, 4031, 4041, 4050, + 4060, 4069, 4078, 4087, 4096, 4105, 4114, 4122, 4131, 4139, 4148, 4156, 4164, 4173, 4181, 4189, + 4197, 4205, 4213, 4220, 4228, 4236, 4243, 4251, 4258, 4266, 4273, 4280, 4287, 4294, 4302, 4309], + [4316, 4329, 4343, 4356, 4369, 4382, 4395, 4408, 4420, 4433, 4445, 4457, 4468, 4480, 4492, 4503, + 4514, 4525, 4536, 4547, 4557, 4568, 4578, 4589, 4599, 4609, 4619, 4629, 4638, 4648, 4657, 4667, + 4676, 4685, 4695, 4704, 4713, 4721, 4730, 4739, 4747, 4756, 4764, 4773, 4781, 4789, 4797, 4805, + 4813, 4821, 4829, 4837, 4845, 4852, 4860, 4867, 4875, 4882, 4889, 4897, 4904, 4911, 4918, 4925], + [4932, 4946, 4959, 4973, 4986, 4999, 5012, 5024, 5037, 5049, 5061, 5073, 5085, 5097, 5108, 5119, + 5131, 5142, 5153, 5163, 5174, 5184, 5195, 5205, 5215, 5225, 5235, 5245, 5255, 5264, 5274, 5283, + 5293, 5302, 5311, 5320, 5329, 5338, 5347, 5355, 5364, 5372, 5381, 5389, 5397, 5406, 5414, 5422, + 5430, 5438, 5446, 5453, 5461, 5469, 5476, 5484, 5491, 5499, 5506, 5513, 5520, 5527, 5535, 5542], + [5549, 5562, 5576, 5589, 5603, 5615, 5628, 5641, 5653, 5666, 5678, 5690, 5701, 5713, 5725, 5736, + 5747, 5758, 5769, 5780, 5790, 5801, 5811, 5822, 5832, 5842, 5852, 5862, 5871, 5881, 5890, 5900, + 5909, 5918, 5928, 5937, 5946, 5954, 5963, 5972, 5980, 5989, 5997, 6006, 6014, 6022, 6030, 6038, + 6046, 6054, 6062, 6070, 6078, 6085, 6093, 6100, 6108, 6115, 6122, 6130, 6137, 6144, 6151, 6158], + [6165, 6179, 6192, 6206, 6219, 6232, 6245, 6257, 6270, 6282, 6294, 6306, 6318, 6330, 6341, 6352, + 6364, 6375, 6386, 6396, 6407, 6417, 6428, 6438, 6448, 6458, 6468, 6478, 6488, 6497, 6507, 6516, + 6526, 6535, 6544, 6553, 6562, 6571, 6580, 6588, 6597, 6605, 6614, 6622, 6630, 6639, 6647, 6655, + 6663, 6671, 6679, 6686, 6694, 6702, 6709, 6717, 6724, 6732, 6739, 6746, 6753, 6761, 6768, 6775], + [6782, 6795, 6809, 6822, 6836, 6849, 6861, 6874, 6886, 6899, 6911, 6923, 6934, 6946, 6958, 6969, + 6980, 6991, 7002, 7013, 7023, 7034, 7044, 7055, 7065, 7075, 7085, 7095, 7104, 7114, 7124, 7133, + 7142, 7151, 7161, 7170, 7179, 7187, 7196, 7205, 7213, 7222, 7230, 7239, 7247, 7255, 7263, 7271, + 7279, 7287, 7295, 7303, 7311, 7318, 7326, 7333, 7341, 7348, 7355, 7363, 7370, 7377, 7384, 7391], + [7398, 7412, 7425, 7439, 7452, 7465, 7478, 7490, 7503, 7515, 7527, 7539, 7551, 7563, 7574, 7585, + 7597, 7608, 7619, 7629, 7640, 7651, 7661, 7671, 7681, 7691, 7701, 7711, 7721, 7731, 7740, 7749, + 7759, 7768, 7777, 7786, 7795, 7804, 7813, 7821, 7830, 7838, 7847, 7855, 7864, 7872, 7880, 7888, + 7896, 7904, 7912, 7919, 7927, 7935, 7942, 7950, 7957, 7965, 7972, 7979, 7986, 7994, 8001, 8008], + [8015, 8028, 8042, 8055, 8069, 8082, 8094, 8107, 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32548, + 32556, 32564, 32572, 32580, 32587, 32595, 32603, 32610, 32618, 32625, 32632, 32640, 32647, 32654, 32661, 32668], + [32675, 32689, 32702, 32716, 32729, 32742, 32755, 32767, 32780, 32792, 32804, 32816, 32828, 32839, 32851, 32862, + 32873, 32885, 32895, 32906, 32917, 32927, 32938, 32948, 32958, 32968, 32978, 32988, 32998, 33007, 33017, 33026, + 33036, 33045, 33054, 33063, 33072, 33081, 33090, 33098, 33107, 33115, 33124, 33132, 33140, 33149, 33157, 33165, + 33173, 33181, 33188, 33196, 33204, 33212, 33219, 33227, 33234, 33241, 33249, 33256, 33263, 33270, 33278, 33285], + [33292, 33305, 33319, 33332, 33345, 33358, 33371, 33384, 33396, 33409, 33421, 33433, 33444, 33456, 33467, 33479, + 33490, 33501, 33512, 33523, 33533, 33544, 33554, 33565, 33575, 33585, 33595, 33605, 33614, 33624, 33633, 33643, + 33652, 33661, 33670, 33680, 33688, 33697, 33706, 33715, 33723, 33732, 33740, 33749, 33757, 33765, 33773, 33781, + 33789, 33797, 33805, 33813, 33820, 33828, 33836, 33843, 33851, 33858, 33865, 33873, 33880, 33887, 33894, 33901], + [33908, 33922, 33935, 33949, 33962, 33975, 33988, 34000, 34013, 34025, 34037, 34049, 34061, 34072, 34084, 34095, + 34106, 34118, 34128, 34139, 34150, 34160, 34171, 34181, 34191, 34201, 34211, 34221, 34231, 34240, 34250, 34259, + 34269, 34278, 34287, 34296, 34305, 34314, 34323, 34331, 34340, 34348, 34357, 34365, 34373, 34382, 34390, 34398, + 34406, 34414, 34422, 34429, 34437, 34445, 34452, 34460, 34467, 34475, 34482, 34489, 34496, 34503, 34511, 34518], + [34525, 34538, 34552, 34565, 34578, 34591, 34604, 34617, 34629, 34642, 34654, 34666, 34677, 34689, 34700, 34712, + 34723, 34734, 34745, 34756, 34766, 34777, 34787, 34798, 34808, 34818, 34828, 34838, 34847, 34857, 34866, 34876, + 34885, 34894, 34904, 34913, 34921, 34930, 34939, 34948, 34956, 34965, 34973, 34982, 34990, 34998, 35006, 35014, + 35022, 35030, 35038, 35046, 35053, 35061, 35069, 35076, 35084, 35091, 35098, 35106, 35113, 35120, 35127, 35134], + [35141, 35155, 35168, 35182, 35195, 35208, 35221, 35233, 35246, 35258, 35270, 35282, 35294, 35306, 35317, 35328, + 35340, 35351, 35361, 35372, 35383, 35393, 35404, 35414, 35424, 35434, 35444, 35454, 35464, 35473, 35483, 35492, + 35502, 35511, 35520, 35529, 35538, 35547, 35556, 35564, 35573, 35581, 35590, 35598, 35606, 35615, 35623, 35631, + 35639, 35647, 35655, 35662, 35670, 35678, 35685, 35693, 35700, 35708, 35715, 35722, 35729, 35736, 35744, 35751], + [35758, 35771, 35785, 35798, 35811, 35824, 35837, 35850, 35862, 35875, 35887, 35899, 35910, 35922, 35934, 35945, + 35956, 35967, 35978, 35989, 35999, 36010, 36020, 36031, 36041, 36051, 36061, 36071, 36080, 36090, 36099, 36109, + 36118, 36127, 36137, 36146, 36154, 36163, 36172, 36181, 36189, 36198, 36206, 36215, 36223, 36231, 36239, 36247, + 36255, 36263, 36271, 36279, 36287, 36294, 36302, 36309, 36317, 36324, 36331, 36339, 36346, 36353, 36360, 36367], + [36374, 36388, 36401, 36415, 36428, 36441, 36454, 36466, 36479, 36491, 36503, 36515, 36527, 36539, 36550, 36561, + 36573, 36584, 36594, 36605, 36616, 36626, 36637, 36647, 36657, 36667, 36677, 36687, 36697, 36706, 36716, 36725, + 36735, 36744, 36753, 36762, 36771, 36780, 36789, 36797, 36806, 36814, 36823, 36831, 36839, 36848, 36856, 36864, + 36872, 36880, 36888, 36895, 36903, 36911, 36918, 36926, 36933, 36941, 36948, 36955, 36962, 36969, 36977, 36984], + [36991, 37004, 37018, 37031, 37044, 37057, 37070, 37083, 37095, 37108, 37120, 37132, 37143, 37155, 37167, 37178, + 37189, 37200, 37211, 37222, 37232, 37243, 37253, 37264, 37274, 37284, 37294, 37304, 37313, 37323, 37332, 37342, + 37351, 37360, 37370, 37379, 37388, 37396, 37405, 37414, 37422, 37431, 37439, 37448, 37456, 37464, 37472, 37480, + 37488, 37496, 37504, 37512, 37520, 37527, 37535, 37542, 37550, 37557, 37564, 37572, 37579, 37586, 37593, 37600], + [37607, 37621, 37634, 37648, 37661, 37674, 37687, 37699, 37712, 37724, 37736, 37748, 37760, 37772, 37783, 37794, + 37806, 37817, 37828, 37838, 37849, 37859, 37870, 37880, 37890, 37900, 37910, 37920, 37930, 37939, 37949, 37958, + 37968, 37977, 37986, 37995, 38004, 38013, 38022, 38030, 38039, 38047, 38056, 38064, 38072, 38081, 38089, 38097, + 38105, 38113, 38121, 38128, 38136, 38144, 38151, 38159, 38166, 38174, 38181, 38188, 38195, 38202, 38210, 38217], + [38224, 38237, 38251, 38264, 38278, 38290, 38303, 38316, 38328, 38341, 38353, 38365, 38376, 38388, 38400, 38411, + 38422, 38433, 38444, 38455, 38465, 38476, 38486, 38497, 38507, 38517, 38527, 38537, 38546, 38556, 38565, 38575, + 38584, 38593, 38603, 38612, 38621, 38629, 38638, 38647, 38655, 38664, 38672, 38681, 38689, 38697, 38705, 38713, + 38721, 38729, 38737, 38745, 38753, 38760, 38768, 38775, 38783, 38790, 38797, 38805, 38812, 38819, 38826, 38833], + [38840, 38854, 38867, 38881, 38894, 38907, 38920, 38932, 38945, 38957, 38969, 38981, 38993, 39005, 39016, 39027, + 39039, 39050, 39061, 39071, 39082, 39092, 39103, 39113, 39123, 39133, 39143, 39153, 39163, 39172, 39182, 39191, + 39201, 39210, 39219, 39228, 39237, 39246, 39255, 39263, 39272, 39280, 39289, 39297, 39305, 39314, 39322, 39330, + 39338, 39346, 39354, 39361, 39369, 39377, 39384, 39392, 39399, 39407, 39414, 39421, 39428, 39436, 39443, 39450], ]; - /// Approximate `log10(numerator / denominator) * 1024` using a look-up table. + /// Approximate `log10(numerator / denominator) * 2048` using a look-up table. #[inline] - pub fn negative_log10_times_1024(numerator: u64, denominator: u64) -> u64 { + pub fn negative_log10_times_2048(numerator: u64, denominator: u64) -> u64 { // Multiply the -1 through to avoid needing to use signed numbers. - (log10_times_1024(denominator) - log10_times_1024(numerator)) as u64 + (log10_times_2048(denominator) - log10_times_2048(numerator)) as u64 } #[inline] - fn log10_times_1024(x: u64) -> u16 { + fn log10_times_2048(x: u64) -> u16 { debug_assert_ne!(x, 0); let most_significant_bit = HIGHEST_BIT - x.leading_zeros(); let lower_bits = (x >> most_significant_bit.saturating_sub(LOWER_BITS)) & LOWER_BITMASK; - LOG10_TIMES_1024[most_significant_bit as usize][lower_bits as usize] + LOG10_TIMES_2048[most_significant_bit as usize][lower_bits as usize] } #[cfg(test)] @@ -981,19 +1173,21 @@ mod approx { use super::*; #[test] - fn prints_negative_log10_times_1024_lookup_table() { + fn prints_negative_log10_times_2048_lookup_table() { for msb in 0..BITS { for i in 0..LOWER_BITS_BOUND { let x = ((LOWER_BITS_BOUND + i) << (HIGHEST_BIT - LOWER_BITS)) >> (HIGHEST_BIT - msb); - let log10_times_1024 = ((x as f64).log10() * 1024.0).round() as u16; - assert_eq!(log10_times_1024, LOG10_TIMES_1024[msb as usize][i as usize]); + let log10_times_2048 = ((x as f64).log10() * 2048.0).round() as u16; + assert_eq!(log10_times_2048, LOG10_TIMES_2048[msb as usize][i as usize]); if i % LOWER_BITS_BOUND == 0 { - print!("\t\t[{}, ", log10_times_1024); + print!("\t\t[{}, ", log10_times_2048); } else if i % LOWER_BITS_BOUND == LOWER_BITS_BOUND - 1 { - println!("{}],", log10_times_1024); + println!("{}],", log10_times_2048); + } else if i % (LOWER_BITS_BOUND/4) == LOWER_BITS_BOUND/4 - 1 { + print!("{},\n\t\t\t", log10_times_2048); } else { - print!("{}, ", log10_times_1024); + print!("{}, ", log10_times_2048); } } } @@ -1813,18 +2007,18 @@ mod tests { let source = source_node_id(); let target = target_node_id(); - assert_eq!(scorer.channel_penalty_msat(42, 1_024, 1_024_000, &source, &target), 0); - assert_eq!(scorer.channel_penalty_msat(42, 10_240, 1_024_000, &source, &target), 14); - assert_eq!(scorer.channel_penalty_msat(42, 102_400, 1_024_000, &source, &target), 43); + assert_eq!(scorer.channel_penalty_msat(42, 1_024, 1_024_000, &source, &target), 3); + assert_eq!(scorer.channel_penalty_msat(42, 10_240, 1_024_000, &source, &target), 6); + assert_eq!(scorer.channel_penalty_msat(42, 102_400, 1_024_000, &source, &target), 47); assert_eq!(scorer.channel_penalty_msat(42, 1_024_000, 1_024_000, &source, &target), 2_000); assert_eq!(scorer.channel_penalty_msat(42, 128, 1_024, &source, &target), 58); assert_eq!(scorer.channel_penalty_msat(42, 256, 1_024, &source, &target), 125); - assert_eq!(scorer.channel_penalty_msat(42, 374, 1_024, &source, &target), 204); - assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 301); - assert_eq!(scorer.channel_penalty_msat(42, 640, 1_024, &source, &target), 426); + assert_eq!(scorer.channel_penalty_msat(42, 374, 1_024, &source, &target), 198); + assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 300); + assert_eq!(scorer.channel_penalty_msat(42, 640, 1_024, &source, &target), 425); assert_eq!(scorer.channel_penalty_msat(42, 768, 1_024, &source, &target), 602); - assert_eq!(scorer.channel_penalty_msat(42, 896, 1_024, &source, &target), 903); + assert_eq!(scorer.channel_penalty_msat(42, 896, 1_024, &source, &target), 902); } #[test] @@ -1862,13 +2056,13 @@ mod tests { let failed_path = payment_path_for_amount(500); let successful_path = payment_path_for_amount(200); - assert_eq!(scorer.channel_penalty_msat(41, 500, 1_000, &sender, &source), 300); + assert_eq!(scorer.channel_penalty_msat(41, 500, 1_000, &sender, &source), 301); scorer.payment_path_failed(&failed_path.iter().collect::>(), 41); - assert_eq!(scorer.channel_penalty_msat(41, 500, 1_000, &sender, &source), 300); + assert_eq!(scorer.channel_penalty_msat(41, 500, 1_000, &sender, &source), 301); scorer.payment_path_successful(&successful_path.iter().collect::>()); - assert_eq!(scorer.channel_penalty_msat(41, 500, 1_000, &sender, &source), 300); + assert_eq!(scorer.channel_penalty_msat(41, 500, 1_000, &sender, &source), 301); } #[test] @@ -1884,8 +2078,8 @@ mod tests { let path = payment_path_for_amount(500); assert_eq!(scorer.channel_penalty_msat(42, 250, 1_000, &source, &target), 128); - assert_eq!(scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 300); - assert_eq!(scorer.channel_penalty_msat(42, 750, 1_000, &source, &target), 601); + assert_eq!(scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 301); + assert_eq!(scorer.channel_penalty_msat(42, 750, 1_000, &source, &target), 602); scorer.payment_path_failed(&path.iter().collect::>(), 43); @@ -1907,8 +2101,8 @@ mod tests { let path = payment_path_for_amount(500); assert_eq!(scorer.channel_penalty_msat(42, 250, 1_000, &source, &target), 128); - assert_eq!(scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 300); - assert_eq!(scorer.channel_penalty_msat(42, 750, 1_000, &source, &target), 601); + assert_eq!(scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 301); + assert_eq!(scorer.channel_penalty_msat(42, 750, 1_000, &source, &target), 602); scorer.payment_path_failed(&path.iter().collect::>(), 42); @@ -1961,20 +2155,20 @@ mod tests { scorer.payment_path_failed(&payment_path_for_amount(128).iter().collect::>(), 43); assert_eq!(scorer.channel_penalty_msat(42, 128, 1_024, &source, &target), 0); - assert_eq!(scorer.channel_penalty_msat(42, 256, 1_024, &source, &target), 97); - assert_eq!(scorer.channel_penalty_msat(42, 768, 1_024, &source, &target), 1_409); + assert_eq!(scorer.channel_penalty_msat(42, 256, 1_024, &source, &target), 93); + assert_eq!(scorer.channel_penalty_msat(42, 768, 1_024, &source, &target), 1_479); assert_eq!(scorer.channel_penalty_msat(42, 896, 1_024, &source, &target), u64::max_value()); SinceEpoch::advance(Duration::from_secs(9)); assert_eq!(scorer.channel_penalty_msat(42, 128, 1_024, &source, &target), 0); - assert_eq!(scorer.channel_penalty_msat(42, 256, 1_024, &source, &target), 97); - assert_eq!(scorer.channel_penalty_msat(42, 768, 1_024, &source, &target), 1_409); + assert_eq!(scorer.channel_penalty_msat(42, 256, 1_024, &source, &target), 93); + assert_eq!(scorer.channel_penalty_msat(42, 768, 1_024, &source, &target), 1_479); assert_eq!(scorer.channel_penalty_msat(42, 896, 1_024, &source, &target), u64::max_value()); SinceEpoch::advance(Duration::from_secs(1)); assert_eq!(scorer.channel_penalty_msat(42, 64, 1_024, &source, &target), 0); assert_eq!(scorer.channel_penalty_msat(42, 128, 1_024, &source, &target), 34); - assert_eq!(scorer.channel_penalty_msat(42, 896, 1_024, &source, &target), 1_773); + assert_eq!(scorer.channel_penalty_msat(42, 896, 1_024, &source, &target), 1_970); assert_eq!(scorer.channel_penalty_msat(42, 960, 1_024, &source, &target), u64::max_value()); // Fully decay liquidity lower bound. @@ -2008,7 +2202,7 @@ mod tests { assert_eq!(scorer.channel_penalty_msat(42, 256, 1_024, &source, &target), 125); scorer.payment_path_failed(&payment_path_for_amount(512).iter().collect::>(), 42); - assert_eq!(scorer.channel_penalty_msat(42, 256, 1_024, &source, &target), 274); + assert_eq!(scorer.channel_penalty_msat(42, 256, 1_024, &source, &target), 281); // An unchecked right shift 64 bits or more in DirectedChannelLiquidity::decayed_offset_msat // would cause an overflow. @@ -2031,30 +2225,30 @@ mod tests { let source = source_node_id(); let target = target_node_id(); - assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 301); + assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 300); // More knowledge gives higher confidence (256, 768), meaning a lower penalty. scorer.payment_path_failed(&payment_path_for_amount(768).iter().collect::>(), 42); scorer.payment_path_failed(&payment_path_for_amount(256).iter().collect::>(), 43); - assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 274); + assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 281); // Decaying knowledge gives less confidence (128, 896), meaning a higher penalty. SinceEpoch::advance(Duration::from_secs(10)); - assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 301); + assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 291); // Reducing the upper bound gives more confidence (128, 832) that the payment amount (512) // is closer to the upper bound, meaning a higher penalty. scorer.payment_path_successful(&payment_path_for_amount(64).iter().collect::>()); - assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 342); + assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 331); // Increasing the lower bound gives more confidence (256, 832) that the payment amount (512) // is closer to the lower bound, meaning a lower penalty. scorer.payment_path_failed(&payment_path_for_amount(256).iter().collect::>(), 43); - assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 255); + assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 245); // Further decaying affects the lower bound more than the upper bound (128, 928). SinceEpoch::advance(Duration::from_secs(10)); - assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 284); + assert_eq!(scorer.channel_penalty_msat(42, 512, 1_024, &source, &target), 280); } #[test] @@ -2073,7 +2267,7 @@ mod tests { assert_eq!(scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), u64::max_value()); SinceEpoch::advance(Duration::from_secs(10)); - assert_eq!(scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 472); + assert_eq!(scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 473); scorer.payment_path_failed(&payment_path_for_amount(250).iter().collect::>(), 43); assert_eq!(scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 300); @@ -2110,13 +2304,13 @@ mod tests { let mut serialized_scorer = io::Cursor::new(&serialized_scorer); let deserialized_scorer = ::read(&mut serialized_scorer, (params, &network_graph)).unwrap(); - assert_eq!(deserialized_scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 472); + assert_eq!(deserialized_scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 473); scorer.payment_path_failed(&payment_path_for_amount(250).iter().collect::>(), 43); assert_eq!(scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 300); SinceEpoch::advance(Duration::from_secs(10)); - assert_eq!(deserialized_scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 371); + assert_eq!(deserialized_scorer.channel_penalty_msat(42, 500, 1_000, &source, &target), 365); } #[test] @@ -2129,17 +2323,17 @@ mod tests { let source = source_node_id(); let target = target_node_id(); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 950_000_000, &source, &target), 3645); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 1_950_000_000, &source, &target), 2512); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 2_950_000_000, &source, &target), 500); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 3_950_000_000, &source, &target), 1442); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 4_950_000_000, &source, &target), 500); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 5_950_000_000, &source, &target), 1820); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 6_950_000_000, &source, &target), 500); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 7_450_000_000, &source, &target), 500); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 7_950_000_000, &source, &target), 500); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 8_950_000_000, &source, &target), 500); - assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 9_950_000_000, &source, &target), 500); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 950_000_000, &source, &target), 3613); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 1_950_000_000, &source, &target), 1977); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 2_950_000_000, &source, &target), 1474); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 3_950_000_000, &source, &target), 1223); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 4_950_000_000, &source, &target), 877); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 5_950_000_000, &source, &target), 845); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 6_950_000_000, &source, &target), 782); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 7_450_000_000, &source, &target), 1002); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 7_950_000_000, &source, &target), 970); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 8_950_000_000, &source, &target), 907); + assert_eq!(scorer.channel_penalty_msat(42, 100_000_000, 9_950_000_000, &source, &target), 877); } #[test]