// (C)opyleft 2013-2016 Frank Denis

//! HyperLogLog implementation for Rust
#![crate_name = "hyperloglog"]

#![warn(non_camel_case_types,
        non_upper_case_globals,
        unused_qualifications)]
#![allow(non_snake_case)]

extern crate rand;
extern crate siphasher;

use siphasher::sip::SipHasher13;
use std::cmp::Ordering::{Less, Equal, Greater};
use std::hash::{Hash, Hasher};
use std::iter::repeat;
use std::marker::PhantomData;

static TRESHOLD_DATA: [f64; 15] =
    [10.0, 20.0, 40.0, 80.0, 220.0, 400.0, 900.0, 1800.0, 3100.0, 6500.0,
     11500.0, 20000.0, 50000.0, 120000.0, 350000.0];

static RAW_ESTIMATE_DATA: &'static [&'static [f64]] =
    &[&[11.0, 11.717, 12.207, 12.7896, 13.2882, 13.8204, 14.3772, 14.9342,
        15.5202, 16.161, 16.7722, 17.4636, 18.0396, 18.6766, 19.3566, 20.0454,
        20.7936, 21.4856, 22.2666, 22.9946, 23.766, 24.4692, 25.3638, 26.0764,
        26.7864, 27.7602, 28.4814, 29.433, 30.2926, 31.0664, 31.9996, 32.7956,
        33.5366, 34.5894, 35.5738, 36.2698, 37.3682, 38.0544, 39.2342,
        40.0108, 40.7966, 41.9298, 42.8704, 43.6358, 44.5194, 45.773, 46.6772,
        47.6174, 48.4888, 49.3304, 50.2506, 51.4996, 52.3824, 53.3078,
        54.3984, 55.5838, 56.6618, 57.2174, 58.3514, 59.0802, 60.1482,
        61.0376, 62.3598, 62.8078, 63.9744, 64.914, 65.781, 67.1806, 68.0594,
        68.8446, 69.7928, 70.8248, 71.8324, 72.8598, 73.6246, 74.7014, 75.393,
        76.6708, 77.2394],
      &[23.0, 23.1194, 23.8208, 24.2318, 24.77, 25.2436, 25.7774, 26.2848,
        26.8224, 27.3742, 27.9336, 28.503, 29.0494, 29.6292, 30.2124, 30.798,
        31.367, 31.9728, 32.5944, 33.217, 33.8438, 34.3696, 35.0956, 35.7044,
        36.324, 37.0668, 37.6698, 38.3644, 39.049, 39.6918, 40.4146, 41.082,
        41.687, 42.5398, 43.2462, 43.857, 44.6606, 45.4168, 46.1248, 46.9222,
        47.6804, 48.447, 49.3454, 49.9594, 50.7636, 51.5776, 52.331, 53.19,
        53.9676, 54.7564, 55.5314, 56.4442, 57.3708, 57.9774, 58.9624,
        59.8796, 60.755, 61.472, 62.2076, 63.1024, 63.8908, 64.7338, 65.7728,
        66.629, 67.413, 68.3266, 69.1524, 70.2642, 71.1806, 72.0566, 72.9192,
        73.7598, 74.3516, 75.5802, 76.4386, 77.4916, 78.1524, 79.1892,
        79.8414, 80.8798, 81.8376, 82.4698, 83.7656, 84.331, 85.5914, 86.6012,
        87.7016, 88.5582, 89.3394, 90.3544, 91.4912, 92.308, 93.3552, 93.9746,
        95.2052, 95.727, 97.1322, 98.3944, 98.7588, 100.242, 101.1914,
        102.2538, 102.8776, 103.6292, 105.1932, 105.9152, 107.0868, 107.6728,
        108.7144, 110.3114, 110.8716, 111.245, 112.7908, 113.7064, 114.636,
        115.7464, 116.1788, 117.7464, 118.4896, 119.6166, 120.5082, 121.7798,
        122.9028, 123.4426, 124.8854, 125.705, 126.4652, 128.3464, 128.3462,
        130.0398, 131.0342, 131.0042, 132.4766, 133.511, 134.7252, 135.425,
        136.5172, 138.0572, 138.6694, 139.3712, 140.8598, 141.4594, 142.554,
        143.4006, 144.7374, 146.1634, 146.8994, 147.605, 147.9304, 149.1636,
        150.2468, 151.5876, 152.2096, 153.7032, 154.7146, 155.807, 156.9228,
        157.0372, 158.5852],
      &[46.0, 46.1902, 47.271, 47.8358, 48.8142, 49.2854, 50.317, 51.354,
        51.8924, 52.9436, 53.4596, 54.5262, 55.6248, 56.1574, 57.2822, 57.837,
        58.9636, 60.074, 60.7042, 61.7976, 62.4772, 63.6564, 64.7942, 65.5004,
        66.686, 67.291, 68.5672, 69.8556, 70.4982, 71.8204, 72.4252, 73.7744,
        75.0786, 75.8344, 77.0294, 77.8098, 79.0794, 80.5732, 81.1878,
        82.5648, 83.2902, 84.6784, 85.3352, 86.8946, 88.3712, 89.0852, 90.499,
        91.2686, 92.6844, 94.2234, 94.9732, 96.3356, 97.2286, 98.7262,
        100.3284, 101.1048, 102.5962, 103.3562, 105.1272, 106.4184, 107.4974,
        109.0822, 109.856, 111.48, 113.2834, 114.0208, 115.637, 116.5174,
        118.0576, 119.7476, 120.427, 122.1326, 123.2372, 125.2788, 126.6776,
        127.7926, 129.1952, 129.9564, 131.6454, 133.87, 134.5428, 136.2,
        137.0294, 138.6278, 139.6782, 141.792, 143.3516, 144.2832, 146.0394,
        147.0748, 148.4912, 150.849, 151.696, 153.5404, 154.073, 156.3714,
        157.7216, 158.7328, 160.4208, 161.4184, 163.9424, 165.2772, 166.411,
        168.1308, 168.769, 170.9258, 172.6828, 173.7502, 175.706, 176.3886,
        179.0186, 180.4518, 181.927, 183.4172, 184.4114, 186.033, 188.5124,
        189.5564, 191.6008, 192.4172, 193.8044, 194.997, 197.4548, 198.8948,
        200.2346, 202.3086, 203.1548, 204.8842, 206.6508, 206.6772, 209.7254,
        210.4752, 212.7228, 214.6614, 215.1676, 217.793, 218.0006, 219.9052,
        221.66, 223.5588, 225.1636, 225.6882, 227.7126, 229.4502, 231.1978,
        232.9756, 233.1654, 236.727, 238.1974, 237.7474, 241.1346, 242.3048,
        244.1948, 245.3134, 246.879, 249.1204, 249.853, 252.6792, 253.857,
        254.4486, 257.2362, 257.9534, 260.0286, 260.5632, 262.663, 264.723,
        265.7566, 267.2566, 267.1624, 270.62, 272.8216, 273.2166, 275.2056,
        276.2202, 278.3726, 280.3344, 281.9284, 283.9728, 284.1924, 286.4872,
        287.587, 289.807, 291.1206, 292.769, 294.8708, 296.665, 297.1182,
        299.4012, 300.6352, 302.1354, 304.1756, 306.1606, 307.3462, 308.5214,
        309.4134, 310.8352, 313.9684, 315.837, 316.7796, 318.9858],
      &[92.0, 93.4934, 94.9758, 96.4574, 97.9718, 99.4954, 101.5302, 103.0756,
        104.6374, 106.1782, 107.7888, 109.9522, 111.592, 113.2532, 114.9086,
        116.5938, 118.9474, 120.6796, 122.4394, 124.2176, 125.9768, 128.4214,
        130.2528, 132.0102, 133.8658, 135.7278, 138.3044, 140.1316, 142.093,
        144.0032, 145.9092, 148.6306, 150.5294, 152.5756, 154.6508, 156.662,
        159.552, 161.3724, 163.617, 165.5754, 167.7872, 169.8444, 172.7988,
        174.8606, 177.2118, 179.3566, 181.4476, 184.5882, 186.6816, 189.0824,
        191.0258, 193.6048, 196.4436, 198.7274, 200.957, 203.147, 205.4364,
        208.7592, 211.3386, 213.781, 215.8028, 218.656, 221.6544, 223.996,
        226.4718, 229.1544, 231.6098, 234.5956, 237.0616, 239.5758, 242.4878,
        244.5244, 248.2146, 250.724, 252.8722, 255.5198, 258.0414, 261.941,
        264.9048, 266.87, 269.4304, 272.028, 274.4708, 278.37, 281.0624,
        283.4668, 286.5532, 289.4352, 293.2564, 295.2744, 298.2118, 300.7472,
        304.1456, 307.2928, 309.7504, 312.5528, 315.979, 318.2102, 322.1834,
        324.3494, 327.325, 330.6614, 332.903, 337.2544, 339.9042, 343.215,
        345.2864, 348.0814, 352.6764, 355.301, 357.139, 360.658, 363.1732,
        366.5902, 369.9538, 373.0828, 375.922, 378.9902, 382.7328, 386.4538,
        388.1136, 391.2234, 394.0878, 396.708, 401.1556, 404.1852, 406.6372,
        409.6822, 412.7796, 416.6078, 418.4916, 422.131, 424.5376, 428.1988,
        432.211, 434.4502, 438.5282, 440.912, 444.0448, 447.7432, 450.8524,
        453.7988, 456.7858, 458.8868, 463.9886, 466.5064, 468.9124, 472.6616,
        475.4682, 478.582, 481.304, 485.2738, 488.6894, 490.329, 496.106,
        497.6908, 501.1374, 504.5322, 506.8848, 510.3324, 513.4512, 516.179,
        520.4412, 522.6066, 526.167, 528.7794, 533.379, 536.067, 538.46,
        542.9116, 545.692, 547.9546, 552.493, 555.2722, 557.335, 562.449,
        564.2014, 569.0738, 571.0974, 574.8564, 578.2996, 581.409, 583.9704,
        585.8098, 589.6528, 594.5998, 595.958, 600.068, 603.3278, 608.2016,
        609.9632, 612.864, 615.43, 620.7794, 621.272, 625.8644, 629.206,
        633.219, 634.5154, 638.6102],
      &[184.2152, 187.2454, 190.2096, 193.6652, 196.6312, 199.6822, 203.249,
        206.3296, 210.0038, 213.2074, 216.4612, 220.27, 223.5178, 227.4412,
        230.8032, 234.1634, 238.1688, 241.6074, 245.6946, 249.2664, 252.8228,
        257.0432, 260.6824, 264.9464, 268.6268, 272.2626, 276.8376, 280.4034,
        284.8956, 288.8522, 292.7638, 297.3552, 301.3556, 305.7526, 309.9292,
        313.8954, 318.8198, 322.7668, 327.298, 331.6688, 335.9466, 340.9746,
        345.1672, 349.3474, 354.3028, 358.8912, 364.114, 368.4646, 372.9744,
        378.4092, 382.6022, 387.843, 392.5684, 397.1652, 402.5426, 407.4152,
        412.5388, 417.3592, 422.1366, 427.486, 432.3918, 437.5076, 442.509,
        447.3834, 453.3498, 458.0668, 463.7346, 469.1228, 473.4528, 479.7,
        484.644, 491.0518, 495.5774, 500.9068, 506.432, 512.1666, 517.434,
        522.6644, 527.4894, 533.6312, 538.3804, 544.292, 550.5496, 556.0234,
        562.8206, 566.6146, 572.4188, 579.117, 583.6762, 590.6576, 595.7864,
        601.509, 607.5334, 612.9204, 619.772, 624.2924, 630.8654, 636.1836,
        642.745, 649.1316, 655.0386, 660.0136, 666.6342, 671.6196, 678.1866,
        684.4282, 689.3324, 695.4794, 702.5038, 708.129, 713.528, 720.3204,
        726.463, 732.7928, 739.123, 744.7418, 751.2192, 756.5102, 762.6066,
        769.0184, 775.2224, 781.4014, 787.7618, 794.1436, 798.6506, 805.6378,
        811.766, 819.7514, 824.5776, 828.7322, 837.8048, 843.6302, 849.9336,
        854.4798, 861.3388, 867.9894, 873.8196, 880.3136, 886.2308, 892.4588,
        899.0816, 905.4076, 912.0064, 917.3878, 923.619, 929.998, 937.3482,
        943.9506, 947.991, 955.1144, 962.203, 968.8222, 975.7324, 981.7826,
        988.7666, 994.2648, 1000.3128, 1007.4082, 1013.7536, 1020.3376,
        1026.7156, 1031.7478, 1037.4292, 1045.393, 1051.2278, 1058.3434,
        1062.8726, 1071.884, 1076.806, 1082.9176, 1089.1678, 1095.5032,
        1102.525, 1107.2264, 1115.315, 1120.93, 1127.252, 1134.1496,
        1139.0408, 1147.5448, 1153.3296, 1158.1974, 1166.5262, 1174.3328,
        1175.657, 1184.4222, 1190.9172, 1197.1292, 1204.4606, 1210.4578,
        1218.8728, 1225.3336, 1226.6592, 1236.5768, 1241.363, 1249.4074,
        1254.6566, 1260.8014, 1266.5454, 1274.5192],
      &[369.0, 374.8294, 381.2452, 387.6698, 394.1464, 400.2024, 406.8782,
        413.6598, 420.462, 427.2826, 433.7102, 440.7416, 447.9366, 455.1046,
        462.285, 469.0668, 476.306, 483.8448, 491.301, 498.9886, 506.2422,
        513.8138, 521.7074, 529.7428, 537.8402, 545.1664, 553.3534, 561.594,
        569.6886, 577.7876, 585.65, 594.228, 602.8036, 611.1666, 620.0818,
        628.0824, 637.2574, 646.302, 655.1644, 664.0056, 672.3802, 681.7192,
        690.5234, 700.2084, 708.831, 718.485, 728.1112, 737.4764, 746.76,
        756.3368, 766.5538, 775.5058, 785.2646, 795.5902, 804.3818, 814.8998,
        824.9532, 835.2062, 845.2798, 854.4728, 864.9582, 875.3292, 886.171,
        896.781, 906.5716, 916.7048, 927.5322, 937.875, 949.3972, 958.3464,
        969.7274, 980.2834, 992.1444, 1003.4264, 1013.0166, 1024.018,
        1035.0438, 1046.34, 1057.6856, 1068.9836, 1079.0312, 1091.677,
        1102.3188, 1113.4846, 1124.4424, 1135.739, 1147.1488, 1158.9202,
        1169.406, 1181.5342, 1193.2834, 1203.8954, 1216.3286, 1226.2146,
        1239.6684, 1251.9946, 1262.123, 1275.4338, 1285.7378, 1296.076,
        1308.9692, 1320.4964, 1333.0998, 1343.9864, 1357.7754, 1368.3208,
        1380.4838, 1392.7388, 1406.0758, 1416.9098, 1428.9728, 1440.9228,
        1453.9292, 1462.617, 1476.05, 1490.2996, 1500.6128, 1513.7392,
        1524.5174, 1536.6322, 1548.2584, 1562.3766, 1572.423, 1587.1232,
        1596.5164, 1610.5938, 1622.5972, 1633.1222, 1647.7674, 1658.5044,
        1671.57, 1683.7044, 1695.4142, 1708.7102, 1720.6094, 1732.6522,
        1747.841, 1756.4072, 1769.9786, 1782.3276, 1797.5216, 1808.3186,
        1819.0694, 1834.354, 1844.575, 1856.2808, 1871.1288, 1880.7852,
        1893.9622, 1906.3418, 1920.6548, 1932.9302, 1945.8584, 1955.473,
        1968.8248, 1980.6446, 1995.9598, 2008.349, 2019.8556, 2033.0334,
        2044.0206, 2059.3956, 2069.9174, 2082.6084, 2093.7036, 2106.6108,
        2118.9124, 2132.301, 2144.7628, 2159.8422, 2171.0212, 2183.101,
        2193.5112, 2208.052, 2221.3194, 2233.3282, 2247.295, 2257.7222,
        2273.342, 2286.5638, 2299.6786, 2310.8114, 2322.3312, 2335.516,
        2349.874, 2363.5968, 2373.865, 2387.1918, 2401.8328, 2414.8496,
        2424.544, 2436.7592, 2447.1682, 2464.1958, 2474.3438, 2489.0006,
        2497.4526, 2513.6586, 2527.19, 2540.7028, 2553.768],
      &[738.1256, 750.4234, 763.1064, 775.4732, 788.4636, 801.0644, 814.488,
        827.9654, 841.0832, 854.7864, 868.1992, 882.2176, 896.5228, 910.1716,
        924.7752, 938.899, 953.6126, 968.6492, 982.9474, 998.5214, 1013.1064,
        1028.6364, 1044.2468, 1059.4588, 1075.3832, 1091.0584, 1106.8606,
        1123.3868, 1139.5062, 1156.1862, 1172.463, 1189.339, 1206.1936,
        1223.1292, 1240.1854, 1257.2908, 1275.3324, 1292.8518, 1310.5204,
        1328.4854, 1345.9318, 1364.552, 1381.4658, 1400.4256, 1419.849,
        1438.152, 1456.8956, 1474.8792, 1494.118, 1513.62, 1532.5132,
        1551.9322, 1570.7726, 1590.6086, 1610.5332, 1630.5918, 1650.4294,
        1669.7662, 1690.4106, 1710.7338, 1730.9012, 1750.4486, 1770.1556,
        1791.6338, 1812.7312, 1833.6264, 1853.9526, 1874.8742, 1896.8326,
        1918.1966, 1939.5594, 1961.07, 1983.037, 2003.1804, 2026.071,
        2047.4884, 2070.0848, 2091.2944, 2114.333, 2135.9626, 2158.2902,
        2181.0814, 2202.0334, 2224.4832, 2246.39, 2269.7202, 2292.1714,
        2314.2358, 2338.9346, 2360.891, 2384.0264, 2408.3834, 2430.1544,
        2454.8684, 2476.9896, 2501.4368, 2522.8702, 2548.0408, 2570.6738,
        2593.5208, 2617.0158, 2640.2302, 2664.0962, 2687.4986, 2714.2588,
        2735.3914, 2759.6244, 2781.8378, 2808.0072, 2830.6516, 2856.2454,
        2877.2136, 2903.4546, 2926.785, 2951.2294, 2976.468, 3000.867,
        3023.6508, 3049.91, 3073.5984, 3098.162, 3121.5564, 3146.2328,
        3170.9484, 3195.5902, 3221.3346, 3242.7032, 3271.6112, 3296.5546,
        3317.7376, 3345.072, 3369.9518, 3394.326, 3418.1818, 3444.6926,
        3469.086, 3494.2754, 3517.8698, 3544.248, 3565.3768, 3588.7234,
        3616.979, 3643.7504, 3668.6812, 3695.72, 3719.7392, 3742.6224,
        3770.4456, 3795.6602, 3819.9058, 3844.002, 3869.517, 3895.6824,
        3920.8622, 3947.1364, 3973.985, 3995.4772, 4021.62, 4046.628, 4074.65,
        4096.2256, 4121.831, 4146.6406, 4173.276, 4195.0744, 4223.9696,
        4251.3708, 4272.9966, 4300.8046, 4326.302, 4353.1248, 4374.312,
        4403.0322, 4426.819, 4450.0598, 4478.5206, 4504.8116, 4528.8928,
        4553.9584, 4578.8712, 4603.8384, 4632.3872, 4655.5128, 4675.821,
        4704.6222, 4731.9862, 4755.4174, 4781.2628, 4804.332, 4832.3048,
        4862.8752, 4883.4148, 4906.9544, 4935.3516, 4954.3532, 4984.0248,
        5011.217, 5035.3258, 5057.3672, 5084.1828],
      &[1477.0, 1501.6014, 1526.5802, 1551.7942, 1577.3042, 1603.2062,
        1629.8402, 1656.2292, 1682.9462, 1709.9926, 1737.3026, 1765.4252,
        1793.0578, 1821.6092, 1849.626, 1878.5568, 1908.527, 1937.5154,
        1967.1874, 1997.3878, 2027.37, 2058.1972, 2089.5728, 2120.1012,
        2151.9668, 2183.292, 2216.0772, 2247.8578, 2280.6562, 2313.041,
        2345.714, 2380.3112, 2414.1806, 2447.9854, 2481.656, 2516.346,
        2551.5154, 2586.8378, 2621.7448, 2656.6722, 2693.5722, 2729.1462,
        2765.4124, 2802.8728, 2838.898, 2876.408, 2913.4926, 2951.4938,
        2989.6776, 3026.282, 3065.7704, 3104.1012, 3143.7388, 3181.6876,
        3221.1872, 3261.5048, 3300.0214, 3339.806, 3381.409, 3421.4144,
        3461.4294, 3502.2286, 3544.651, 3586.6156, 3627.337, 3670.083,
        3711.1538, 3753.5094, 3797.01, 3838.6686, 3882.1678, 3922.8116,
        3967.9978, 4009.9204, 4054.3286, 4097.5706, 4140.6014, 4185.544,
        4229.5976, 4274.583, 4316.9438, 4361.672, 4406.2786, 4451.8628,
        4496.1834, 4543.505, 4589.1816, 4632.5188, 4678.2294, 4724.8908,
        4769.0194, 4817.052, 4861.4588, 4910.1596, 4956.4344, 5002.5238,
        5048.13, 5093.6374, 5142.8162, 5187.7894, 5237.3984, 5285.6078,
        5331.0858, 5379.1036, 5428.6258, 5474.6018, 5522.7618, 5571.5822,
        5618.59, 5667.9992, 5714.88, 5763.454, 5808.6982, 5860.3644,
        5910.2914, 5953.571, 6005.9232, 6055.1914, 6104.5882, 6154.5702,
        6199.7036, 6251.1764, 6298.7596, 6350.0302, 6398.061, 6448.4694,
        6495.933, 6548.0474, 6597.7166, 6646.9416, 6695.9208, 6742.6328,
        6793.5276, 6842.1934, 6894.2372, 6945.3864, 6996.9228, 7044.2372,
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        -101.458000000013, -109.715800000005],
      &[47270.0, 46423.3584, 45585.7074, 44757.152, 43938.8416, 43130.9514,
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        -182.735199999996, -177.259399999981, -198.663600000029,
        -174.577600000019, -193.84580000001],
      &[94541.0, 92848.811, 91174.019, 89517.558, 87879.9705, 86262.7565,
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pub struct HyperLogLog<V> {
    alpha: f64,
    p: u8,
    m: usize,
    M: Vec<u8>,
    sip: SipHasher13,
    v_phantom: PhantomData<V>,
}

impl<V> HyperLogLog<V>
    where V: Hash
{
    pub fn new(error_rate: f64) -> Self {
        assert!(error_rate > 0.0 && error_rate < 1.0);
        let sr = 1.04 / error_rate;
        let p = f64::ln(sr * sr).ceil() as u8;
        assert!(p <= 64);
        let alpha = Self::get_alpha(p);
        let m = 1usize << p;
        HyperLogLog {
            alpha: alpha,
            p: p,
            m: m,
            M: repeat(0u8).take(m).collect(),
            sip: SipHasher13::new_with_keys(rand::random(), rand::random()),
            v_phantom: PhantomData,
        }
    }

    pub fn new_from_template(hll: &HyperLogLog<V>) -> Self {
        HyperLogLog {
            alpha: hll.alpha,
            p: hll.p,
            m: hll.m,
            M: repeat(0u8).take(hll.m).collect(),
            sip: hll.sip.clone(),
            v_phantom: PhantomData,
        }
    }

    pub fn insert(&mut self, value: &V) {
        let sip = &mut self.sip.clone();
        value.hash(sip);
        let x = sip.finish();
        let j = x as usize & (self.m - 1);
        let w = x >> self.p;
        let rho = Self::get_rho(w, 64 - self.p);
        let mjr = &mut self.M[j];
        if rho > *mjr {
            *mjr = rho;
        }
    }

    pub fn len(&self) -> f64 {
        let V = Self::vec_count_zero(&self.M);
        if V > 0 {
            let H = self.m as f64 * (self.m as f64 / V as f64).ln();
            if H <= Self::get_treshold(self.p) {
                H
            } else {
                self.ep()
            }
        } else {
            self.ep()
        }
    }

    pub fn is_empty(&self) -> bool {
        self.len() == 0.0
    }

    pub fn merge(&mut self, src: &HyperLogLog<V>) {
        assert!(src.alpha == self.alpha);
        assert!(src.p == self.p);
        assert!(src.m == self.m);
        let sip1 = &mut src.sip.clone();
        let sip2 = &mut self.sip.clone();
        42.hash(sip1);
        42.hash(sip2);
        assert!(sip1.finish() == sip2.finish());
        for i in 0..self.m {
            let (src_mir, mir) = (src.M[i], &mut self.M[i]);
            if src_mir > *mir {
                *mir = src_mir;
            }
        }
    }

    pub fn clear(&mut self) {
        self.M.iter_mut().all(|x| {
            *x = 0;
            true
        });
    }

    fn get_treshold(p: u8) -> f64 {
        TRESHOLD_DATA[p as usize]
    }

    fn get_alpha(p: u8) -> f64 {
        assert!(p >= 4 && p <= 16);
        match p {
            4 => 0.673,
            5 => 0.697,
            6 => 0.709,
            _ => 0.7213 / (1.0 + 1.079 / (1usize << (p as usize)) as f64),
        }
    }

    fn bit_length(x: u64) -> u8 {
        let mut bits: u8 = 0;
        let mut xm = x;
        while xm != 0 {
            bits += 1;
            xm >>= 1;
        }
        bits
    }

    fn get_rho(w: u64, max_width: u8) -> u8 {
        let rho = max_width - Self::bit_length(w) + 1;
        assert!(rho > 0);
        rho
    }

    fn vec_count_zero(v: &[u8]) -> usize {
        v.iter().filter(|&x| *x == 0).count()
    }

    fn estimate_bias(E: f64, p: u8) -> f64 {
        let bias_vector = BIAS_DATA[(p - 4) as usize];
        let nearest_neighbors = Self::get_nearest_neighbors(E, RAW_ESTIMATE_DATA[(p - 4) as usize]);
        let sum = nearest_neighbors.iter().fold(0.0, |acc, &neighbor| acc + bias_vector[neighbor]);
        sum / nearest_neighbors.len() as f64
    }

    fn get_nearest_neighbors(E: f64, estimate_vector: &[f64]) -> Vec<usize> {
        let ev_len = estimate_vector.len();
        let mut r: Vec<(f64, usize)> = repeat((0.0f64, 0usize))
            .take(ev_len)
            .collect();
        for i in 0..ev_len {
            let dr = E - estimate_vector[i];
            r[i] = (dr * dr, i);
        }
        r.sort_by(|a, b| if a < b {
            Less
        } else if a > b {
            Greater
        } else {
            Equal
        });
        r.truncate(6);
        r.iter()
            .map(|&ez| match ez {
                (_, b) => b,
            })
            .collect()
    }

    fn ep(&self) -> f64 {
        let sum = self.M.iter().fold(0.0, |acc, &x| acc + 2.0f64.powi(-(x as i32)));
        let E = self.alpha * (self.m * self.m) as f64 / sum;
        if E <= (5 * self.m) as f64 {
            E - Self::estimate_bias(E, self.p)
        } else {
            E
        }
    }
}

#[test]
fn hyperloglog_test_simple() {
    let mut hll = HyperLogLog::new(0.00408);
    let keys = ["test1", "test2", "test3", "test2", "test2", "test2"];
    for k in &keys {
        hll.insert(k);
    }
    assert!((hll.len().round() - 3.0).abs() < std::f64::EPSILON);
    assert!(!hll.is_empty());
    hll.clear();
    assert!(hll.is_empty());
    assert!(hll.len() == 0.0);
}

#[test]
fn hyperloglog_test_merge() {
    let mut hll = HyperLogLog::new(0.00408);
    let keys = ["test1", "test2", "test3", "test2", "test2", "test2"];
    for k in &keys {
        hll.insert(k);
    }
    assert!((hll.len().round() - 3.0).abs() < std::f64::EPSILON);

    let mut hll2 = HyperLogLog::new_from_template(&hll);
    let keys2 = ["test3", "test4", "test4", "test4", "test4", "test1"];
    for k in &keys2 {
        hll2.insert(k);
    }
    assert!((hll2.len().round() - 3.0).abs() < std::f64::EPSILON);

    hll.merge(&hll2);
    assert!((hll.len().round() - 4.0).abs() < std::f64::EPSILON);
}