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Carefully designed and efficient extension of the Java Collections Framework with primitive specializations and more, built for Java 8 (Implementation Commons (for Implementation Library and Koloboke Compile))
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/*
* Copyright 2014 the original author or authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package com.koloboke.collect.impl.hash;
import com.koloboke.collect.hash.HashOverflowException;
import java.util.*;
import static java.lang.Math.abs;
import static com.koloboke.collect.impl.hash.Capacities.chooseBetter;
public final class DHashCapacities {
public static int capacity(HashConfigWrapper conf, int size) {
return capacity(conf, size, false);
}
public static int capacity(HashConfigWrapper conf, int size, boolean doubleSizedArrays) {
assert size >= 0 : "size must be non-negative";
int desiredCapacity = conf.targetCapacity(size);
int lesserCapacity, greaterCapacity;
boolean simpleArrays;
if (desiredCapacity <= SMALL_CAPACITY_LOOKUP_TABLE.length) {
greaterCapacity = SMALL_CAPACITY_LOOKUP_TABLE[desiredCapacity];
if (greaterCapacity == desiredCapacity || greaterCapacity == 5)
return greaterCapacity;
for (int i = desiredCapacity - 1; ; i--) {
if (SMALL_CAPACITY_LOOKUP_TABLE[i] != greaterCapacity) {
lesserCapacity = SMALL_CAPACITY_LOOKUP_TABLE[i];
break;
}
}
}
else if (desiredCapacity <= ((simpleArrays = !doubleSizedArrays) ? MAX_REGULAR_CAPACITY :
MAX_REGULAR_CAPACITY_FOR_DOUBLED_ARRAY)) {
int capIndex = Arrays.binarySearch(REGULAR_CAPACITIES, desiredCapacity);
if (capIndex >= 0) // desiredCapacity is found in REGULAR_INT_CAPACITIES
return desiredCapacity;
capIndex = ~capIndex;
lesserCapacity = REGULAR_CAPACITIES[capIndex - 1];
greaterCapacity = REGULAR_CAPACITIES[capIndex];
}
else {
// Since size could be virtual (expected), don't prematurely throw HashOverflowException
return simpleArrays ? MAX_CAPACITY : MAX_CAPACITY_FOR_DOUBLED_ARRAY;
}
return chooseBetter(conf, size, desiredCapacity, lesserCapacity, greaterCapacity,
greaterCapacity);
}
public static int nearestGreaterCapacity(int desiredCapacity, int currentSize) {
return nearestGreaterCapacity(desiredCapacity, currentSize, false);
}
public static int nearestGreaterCapacity(int desiredCapacity, int currentSize,
boolean doubleSizedArrays) {
assert currentSize >= 0 : "currentSize must be non-negative";
boolean simpleArrays;
if (desiredCapacity < SMALL_CAPACITY_LOOKUP_TABLE.length) {
return SMALL_CAPACITY_LOOKUP_TABLE[(int) desiredCapacity];
}
else if (desiredCapacity <= ((simpleArrays = !doubleSizedArrays) ? MAX_REGULAR_CAPACITY :
MAX_REGULAR_CAPACITY_FOR_DOUBLED_ARRAY)) {
int desiredCap = (int) desiredCapacity;
int capIndex = Arrays.binarySearch(REGULAR_CAPACITIES, desiredCap);
if (capIndex < 0) {
capIndex = -capIndex - 1;
return REGULAR_CAPACITIES[capIndex];
} else {
// desiredCap is regular capacity
return desiredCap;
}
}
int maxHighTwinPrimeCapacity = simpleArrays ? MAX_HIGH_TWIN_PRIME_CAPACITY :
MAX_HIGH_TWIN_CAPACITY_FOR_DOUBLED_ARRAY;
// 100000 much greater than maxCapacity - maxHighTwinPrimeCapacity.
// Advantage of high prime twin capacity over simply prime is quite small.
if (currentSize < maxHighTwinPrimeCapacity - 100000) {
return maxHighTwinPrimeCapacity;
}
int maxCapacity = simpleArrays ? MAX_CAPACITY : MAX_CAPACITY_FOR_DOUBLED_ARRAY;
if (currentSize - maxCapacity < 0) {
return maxCapacity;
}
if (simpleArrays && currentSize - Integer.MAX_VALUE < 0) {
// Also prime, but likely will cause to OutOfMemoryError
return Integer.MAX_VALUE;
} else {
// DHash must have at least 1 free slot
throw new HashOverflowException();
}
}
/** == 2^30 - 105, 1073741717 is a prime */
private static final int MAX_HIGH_TWIN_CAPACITY_FOR_DOUBLED_ARRAY = 1073741719;
/** == 2^30 - 35 */
private static final int MAX_CAPACITY_FOR_DOUBLED_ARRAY = 1073741789;
private static final int MAX_HIGH_TWIN_PRIME_CAPACITY = 2147482951;
public static final int MAX_CAPACITY = 2147483629;
public static boolean isMaxCapacity(int capacity) {
// MAX_CAPACITY or Integer.MAX_VALUE
return capacity >= MAX_CAPACITY;
}
public static boolean isMaxCapacity(int capacity, boolean doubleSizedArrays) {
return capacity >= (!doubleSizedArrays ? MAX_CAPACITY : MAX_CAPACITY_FOR_DOUBLED_ARRAY);
}
public static void main(String[] args) {
int[] a = generateRegularCapacities(0.005);
for (int i = 0; i < a.length; i += 10) {
for (int j = i; j < Math.min(i + 10, a.length); j++) {
System.out.print(a[j] + ", ");
}
}
}
/**
* Searches for high of twin primes, not very close to powers of 2.
*
* While possible, keeps max difference between neighbouring capacities not greater than {@code
* maxDiff}: cap / next cap > 1 - maxDiff. Then selects all primes except low of twins (because
* they are too close to the next prime, high of pair, and "hide" them when capacity is
* selected. While high of twin primes are preferable, because capacity - 2 (prime if capacity
* is high of twin pair) is also used as modulo in DHash.
*
* @param maxDiff maximum difference between neighbouring capacities, keeping while possible
* @return array containing generated capacities in ascending order
*/
public static int[] generateRegularCapacities(double maxDiff) {
int avoidBitsAroundPowersOf2 = 1;
while ((1.0 / (double) (1 << avoidBitsAroundPowersOf2)) * 2.0 > maxDiff) {
avoidBitsAroundPowersOf2++;
}
BitSet primes = new BitSet(Integer.MAX_VALUE);
primes.set(0, Integer.MAX_VALUE);
sieve(primes);
ArrayList capacities = new ArrayList();
int highPrime;
for (int i = Integer.MAX_VALUE - 1; ; i--) {
if (primes.get(i) && primes.get(i - 2)) {
highPrime = i;
capacities.add(highPrime);
break;
}
}
int highTwinCount = 0, highTwinNearPowerOf2Count = 0, simplePrimeCount = 0;
while (true) {
int minPrevPrime = ((int) ((1.0 - maxDiff) * (double) highPrime)) + 1;
int lowestSimplePrime = 0;
int highTwinNearToPowerOf2 = 0;
int highTwinPrime = 0;
for (int i = minPrevPrime; i < highPrime; i++) {
if (primes.get(i)) {
if (lowestSimplePrime == 0) lowestSimplePrime = i;
if (primes.get(i - 2)) {
int lowerPowerOf2 = Integer.highestOneBit(i);
int avoidDiffWithPowerOf2 = lowerPowerOf2 >> avoidBitsAroundPowersOf2;
if (abs(lowerPowerOf2 - i) < avoidDiffWithPowerOf2) {
if (highTwinNearToPowerOf2 == 0 ||
abs(lowerPowerOf2 - i) >
abs(lowerPowerOf2 - highTwinNearToPowerOf2)) {
highTwinNearToPowerOf2 = i;
}
continue;
}
int higherPowerOf2 = lowerPowerOf2 << 1;
avoidDiffWithPowerOf2 = higherPowerOf2 >> avoidBitsAroundPowersOf2;
if (abs(higherPowerOf2 - i) < avoidDiffWithPowerOf2) {
if (highTwinNearToPowerOf2 == 0 ||
abs(higherPowerOf2 - i) >
abs(higherPowerOf2 - highTwinNearToPowerOf2)) {
highTwinNearToPowerOf2 = i;
}
continue;
}
highTwinPrime = i;
break;
}
}
}
int prevPrime = highTwinPrime;
if (prevPrime != 0) {
highTwinCount++;
} else {
prevPrime = highTwinNearToPowerOf2;
if (prevPrime != 0) {
highTwinNearPowerOf2Count++;
} else {
prevPrime = lowestSimplePrime;
if (prevPrime != 0) {
simplePrimeCount++;
} else {
break;
}
}
}
capacities.add(prevPrime);
highPrime = prevPrime;
}
System.out.println("highTwinCount: " + highTwinCount);
System.out.println("highTwinNearPowerOf2Count: " + highTwinNearPowerOf2Count);
System.out.println("simplePrimeCount: " + simplePrimeCount);
System.out.println("Lowest diff prime: " + highPrime);
// Differences between nearest primes becomes greater than maxDiff.
for (int i = highPrime - 1; i > 2; i--) {
if (primes.get(i) && !primes.get(i + 2)) {
capacities.add(i);
}
}
int[] res = new int[capacities.size()];
for (int i = capacities.size() - 1, j = 0; i >= 0; i--) {
res[j++] = capacities.get(i);
}
return res;
}
private static void sieve(BitSet fullSet) {
int n = fullSet.size();
for (int i = 2; i * i - n < 0; i++) {
if (fullSet.get(i)) {
for (int m = i * i; m - n < 0; m += i) {
fullSet.clear(m);
}
}
}
}
/**
* Generated 3400 regular capacities with max diff 0.5% between neighbouring ones, starting from
* capacity 5779.
*
* @see DHashCapacities#generateRegularCapacities(double)
*
* 5 and 11 are manually added to prevent considerable memory waste when there are a lot of
* hashes of size 1-5.
*
* 31 is manually replaced with 29, because 31 is commonly used hash code building multiplier,
* for example, strings with the same last character will collide in the hash table of capacity
* 31.
*
* 37 is replaced with 41 for the same reason.
*
* The last generated capacity manually removed.
* @see #MAX_HIGH_TWIN_PRIME_CAPACITY
*/
private static final int[] REGULAR_CAPACITIES = {
5, 7, 11, 13, 19, 23, 29, 41, 43, 47,
53, 61, 67, 73, 79, 83, 89, 97, 103, 109,
113, 127, 131, 139, 151, 157, 163, 167, 173, 181,
193, 199, 211, 223, 229, 233, 241, 251, 257, 263,
271, 277, 283, 293, 307, 313, 317, 331, 337, 349,
353, 359, 367, 373, 379, 383, 389, 397, 401, 409,
421, 433, 439, 443, 449, 457, 463, 467, 479, 487,
491, 499, 503, 509, 523, 541, 547, 557, 563, 571,
577, 587, 593, 601, 607, 613, 619, 631, 643, 647,
653, 661, 673, 677, 683, 691, 701, 709, 719, 727,
733, 739, 743, 751, 757, 761, 769, 773, 787, 797,
811, 823, 829, 839, 853, 859, 863, 877, 883, 887,
907, 911, 919, 929, 937, 941, 947, 953, 967, 971,
977, 983, 991, 997, 1009, 1013, 1021, 1033, 1039, 1051,
1063, 1069, 1087, 1093, 1097, 1103, 1109, 1117, 1123, 1129,
1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223,
1231, 1237, 1249, 1259, 1279, 1283, 1291, 1297, 1303, 1307,
1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1429,
1433, 1439, 1447, 1453, 1459, 1471, 1483, 1489, 1493, 1499,
1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579,
1583, 1597, 1601, 1609, 1613, 1621, 1627, 1637, 1657, 1663,
1669, 1693, 1699, 1709, 1723, 1733, 1741, 1747, 1753, 1759,
1777, 1783, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867,
1873, 1879, 1889, 1901, 1907, 1913, 1933, 1951, 1973, 1979,
1987, 1993, 1999, 2003, 2011, 2017, 2029, 2039, 2053, 2063,
2069, 2083, 2089, 2099, 2113, 2131, 2137, 2143, 2153, 2161,
2179, 2203, 2207, 2213, 2221, 2239, 2243, 2251, 2269, 2273,
2281, 2287, 2293, 2297, 2311, 2333, 2341, 2347, 2351, 2357,
2371, 2377, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437,
2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539,
2543, 2551, 2557, 2579, 2593, 2609, 2617, 2621, 2633, 2647,
2659, 2663, 2671, 2677, 2683, 2689, 2693, 2699, 2707, 2713,
2719, 2731, 2741, 2749, 2753, 2767, 2777, 2791, 2797, 2803,
2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897,
2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2971, 3001,
3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083,
3089, 3109, 3121, 3137, 3163, 3169, 3181, 3187, 3191, 3203,
3209, 3217, 3221, 3229, 3253, 3259, 3271, 3301, 3307, 3313,
3319, 3323, 3331, 3343, 3347, 3361, 3373, 3391, 3407, 3413,
3433, 3449, 3457, 3463, 3469, 3491, 3499, 3511, 3517, 3529,
3533, 3541, 3547, 3559, 3571, 3583, 3593, 3607, 3613, 3617,
3623, 3631, 3637, 3643, 3659, 3673, 3677, 3691, 3697, 3701,
3709, 3719, 3727, 3733, 3739, 3761, 3769, 3779, 3793, 3797,
3803, 3823, 3833, 3847, 3853, 3863, 3877, 3881, 3889, 3907,
3911, 3919, 3923, 3931, 3943, 3947, 3967, 3989, 4003, 4007,
4013, 4021, 4027, 4051, 4057, 4073, 4079, 4093, 4099, 4111,
4129, 4133, 4139, 4153, 4159, 4177, 4201, 4211, 4219, 4231,
4243, 4253, 4261, 4273, 4283, 4289, 4297, 4327, 4339, 4349,
4357, 4363, 4373, 4391, 4397, 4409, 4423, 4441, 4447, 4451,
4457, 4463, 4483, 4493, 4507, 4513, 4519, 4523, 4549, 4561,
4567, 4583, 4591, 4597, 4603, 4621, 4639, 4643, 4651, 4657,
4663, 4673, 4679, 4691, 4703, 4723, 4729, 4733, 4751, 4759,
4783, 4789, 4793, 4801, 4813, 4817, 4831, 4861, 4871, 4877,
4889, 4903, 4909, 4919, 4933, 4937, 4943, 4951, 4957, 4969,
4973, 4987, 4993, 4999, 5003, 5011, 5023, 5039, 5051, 5059,
5077, 5081, 5087, 5101, 5107, 5113, 5119, 5147, 5153, 5167,
5171, 5179, 5189, 5197, 5209, 5227, 5233, 5237, 5261, 5273,
5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387,
5393, 5399, 5407, 5413, 5419, 5431, 5437, 5443, 5449, 5471,
5479, 5483, 5503, 5507, 5521, 5527, 5531, 5557, 5563, 5569,
5573, 5581, 5591, 5623, 5641, 5647, 5653, 5659, 5669, 5683,
5689, 5693, 5701, 5711, 5717, 5737, 5743, 5749, 5779, 5801,
5827, 5851, 5869, 5881, 5903, 5927, 5953, 5981, 6007, 6037,
6067, 6091, 6113, 6133, 6143, 6173, 6199, 6217, 6247, 6271,
6301, 6311, 6337, 6361, 6389, 6421, 6451, 6469, 6491, 6521,
6553, 6577, 6607, 6637, 6661, 6691, 6703, 6733, 6763, 6781,
6803, 6829, 6841, 6871, 6883, 6917, 6949, 6983, 7013, 7039,
7069, 7103, 7129, 7151, 7177, 7213, 7247, 7283, 7309, 7333,
7369, 7393, 7411, 7433, 7459, 7489, 7517, 7549, 7561, 7591,
7621, 7649, 7687, 7723, 7759, 7789, 7817, 7841, 7879, 7883,
7919, 7951, 7963, 7993, 8011, 8017, 8053, 8089, 8123, 8161,
8191, 8221, 8233, 8263, 8293, 8317, 8353, 8389, 8431, 8461,
8501, 8539, 8563, 8599, 8629, 8663, 8699, 8737, 8779, 8821,
8863, 8887, 8929, 8971, 9013, 9049, 9091, 9127, 9157, 9199,
9241, 9283, 9311, 9343, 9377, 9421, 9467, 9511, 9547, 9587,
9631, 9679, 9721, 9769, 9811, 9859, 9883, 9931, 9967, 10009,
10039, 10069, 10093, 10141, 10177, 10223, 10273, 10303, 10343, 10391,
10429, 10459, 10501, 10531, 10567, 10613, 10663, 10711, 10729, 10781,
10831, 10861, 10891, 10939, 10973, 11027, 11059, 11071, 11119, 11161,
11197, 11243, 11299, 11353, 11383, 11437, 11491, 11497, 11551, 11579,
11617, 11657, 11701, 11731, 11779, 11833, 11887, 11941, 11987, 12043,
12073, 12109, 12163, 12197, 12241, 12263, 12323, 12379, 12421, 12479,
12541, 12553, 12613, 12641, 12703, 12763, 12823, 12829, 12889, 12919,
12941, 13003, 13037, 13099, 13159, 13219, 13229, 13291, 13339, 13399,
13421, 13487, 13553, 13613, 13681, 13711, 13763, 13831, 13879, 13933,
13999, 14029, 14083, 14143, 14197, 14251, 14281, 14323, 14389, 14449,
14479, 14551, 14563, 14629, 14669, 14731, 14797, 14869, 14939, 15013,
15073, 15139, 15199, 15271, 15331, 15373, 15439, 15511, 15583, 15661,
15733, 15739, 15817, 15889, 15901, 15973, 15991, 16063, 16141, 16189,
16231, 16301, 16363, 16381, 16453, 16477, 16553, 16633, 16693, 16747,
16831, 16903, 16981, 17029, 17107, 17191, 17209, 17293, 17317, 17389,
17419, 17497, 17581, 17599, 17683, 17749, 17791, 17839, 17911, 17959,
18043, 18121, 18169, 18253, 18341, 18433, 18523, 18583, 18661, 18749,
18839, 18913, 19001, 19081, 19141, 19213, 19289, 19381, 19471, 19543,
19603, 19699, 19753, 19843, 19891, 19963, 20051, 20149, 20233, 20261,
20359, 20443, 20479, 20551, 20641, 20719, 20809, 20899, 20983, 21013,
21089, 21193, 21221, 21319, 21391, 21493, 21559, 21649, 21739, 21841,
21929, 22039, 22093, 22171, 22273, 22381, 22483, 22543, 22639, 22751,
22861, 22963, 23029, 23087, 23203, 23293, 23371, 23431, 23539, 23629,
23743, 23833, 23911, 23993, 24109, 24181, 24281, 24373, 24469, 24571,
24677, 24799, 24919, 24979, 25057, 25171, 25183, 25303, 25411, 25471,
25579, 25673, 25801, 25849, 25933, 25999, 26113, 26141, 26251, 26309,
26431, 26557, 26683, 26731, 26863, 26953, 27061, 27109, 27241, 27283,
27409, 27481, 27583, 27691, 27793, 27919, 27961, 28099, 28183, 28279,
28411, 28549, 28621, 28753, 28879, 29023, 29131, 29243, 29389, 29423,
29569, 29671, 29761, 29881, 30013, 30139, 30271, 30391, 30469, 30559,
30689, 30841, 30931, 31081, 31123, 31249, 31393, 31513, 31567, 31723,
31873, 32029, 32143, 32299, 32413, 32563, 32719, 32833, 32911, 33073,
33151, 33289, 33427, 33589, 33751, 33863, 34033, 34159, 34303, 34471,
34591, 34759, 34843, 34963, 35107, 35281, 35449, 35593, 35731, 35839,
36013, 36187, 36343, 36469, 36599, 36781, 36901, 37021, 37201, 37363,
37549, 37693, 37813, 37993, 38053, 38239, 38329, 38449, 38569, 38749,
38923, 39043, 39163, 39343, 39511, 39631, 39829, 39841, 40039, 40231,
40429, 40531, 40699, 40849, 40939, 41143, 41233, 41413, 41611, 41761,
41959, 42073, 42283, 42463, 42643, 42841, 43051, 43117, 43321, 43399,
43579, 43783, 43891, 44029, 44203, 44383, 44533, 44701, 44909, 45121,
45181, 45377, 45589, 45599, 45823, 46051, 46273, 46441, 46591, 46681,
46831, 47059, 47149, 47353, 47431, 47659, 47881, 48121, 48313, 48541,
48781, 48991, 49123, 49333, 49549, 49789, 50023, 50263, 50461, 50647,
50893, 51061, 51241, 51481, 51721, 51829, 52069, 52291, 52543, 52711,
52861, 53089, 53299, 53551, 53719, 53899, 54133, 54403, 54647, 54919,
55051, 55219, 55441, 55663, 55933, 56209, 56479, 56713, 56911, 57193,
57271, 57529, 57793, 57901, 58111, 58369, 58603, 58789, 59011, 59209,
59359, 59629, 59791, 60091, 60353, 60649, 60889, 61153, 61381, 61673,
61981, 62131, 62311, 62617, 62929, 63031, 63313, 63589, 63841, 64153,
64303, 64579, 64879, 65173, 65449, 65701, 65839, 66109, 66361, 66571,
66853, 67141, 67429, 67759, 67933, 68209, 68491, 68821, 69151, 69493,
69829, 70123, 70381, 70573, 70921, 71263, 71473, 71809, 72169, 72469,
72649, 72871, 73039, 73363, 73609, 73849, 74101, 74383, 74719, 75013,
75169, 75391, 75619, 75991, 76261, 76543, 76873, 77239, 77419, 77761,
78139, 78511, 78889, 79231, 79561, 79813, 80149, 80449, 80833, 81199,
81553, 81901, 82141, 82531, 82891, 83233, 83641, 84061, 84391, 84811,
85093, 85429, 85819, 86113, 86533, 86929, 87121, 87541, 87961, 88261,
88663, 89083, 89521, 89599, 90019, 90373, 90679, 91081, 91369, 91813,
92221, 92671, 93133, 93481, 93889, 94309, 94651, 95089, 95443, 95791,
96181, 96589, 97003, 97369, 97843, 98299, 98641, 99133, 99529, 99991,
100363, 100801, 101113, 101503, 102001, 102409, 102913, 103393, 103813, 104311,
104761, 105229, 105529, 106033, 106543, 107071, 107509, 108013, 108463, 108949,
109453, 109831, 110323, 110731, 111229, 111733, 112069, 112573, 113023, 113539,
114043, 114601, 115021, 115471, 115981, 116533, 117043, 117619, 118171, 118621,
119089, 119551, 120091, 120691, 120919, 121351, 121789, 122323, 122869, 123379,
123733, 124303, 124909, 125509, 125899, 126493, 127081, 127711, 128341, 128971,
129589, 130201, 130843, 131449, 132049, 132709, 133279, 133633, 134293, 134839,
135391, 136069, 136693, 137341, 137869, 138181, 138799, 139303, 139969, 140419,
140839, 141499, 142099, 142789, 143503, 144169, 144889, 145603, 146299, 146893,
147451, 148153, 148861, 149563, 150301, 151051, 151771, 152533, 153271, 153889,
154621, 155383, 156061, 156679, 157429, 158143, 158749, 159169, 159871, 160621,
161341, 161971, 162751, 163411, 164149, 164839, 165553, 166303, 167023, 167779,
168601, 169321, 170101, 170761, 171403, 172171, 173023, 173431, 174259, 175069,
175939, 176791, 177679, 178489, 179383, 180181, 181003, 181759, 182659, 183571,
184489, 185371, 186163, 187069, 187909, 188833, 189439, 190369, 191251, 192193,
192889, 193813, 194683, 195343, 196171, 196993, 197959, 198943, 199933, 200869,
201403, 202291, 203209, 204163, 205033, 205951, 206953, 207973, 208891, 209821,
210811, 211663, 212671, 213289, 214213, 215143, 215983, 216901, 217909, 218719,
219763, 220861, 221719, 222793, 223831, 224911, 225289, 226381, 227473, 228421,
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1367772799, 1374645871, 1381553191, 1388495491, 1395472789, 1402485181, 1409532601, 1416615271, 1423733371, 1430887489,
1438077703, 1445304169, 1452565993, 1459864999, 1467200599, 1474573279, 1481982811, 1489429093, 1496913193, 1504435171,
1511994313, 1519592119, 1527227953, 1534902373, 1542615253, 1550365879, 1558156531, 1565986393, 1573855603, 1581763543,
1589711413, 1597699843, 1605728473, 1613797399, 1621906501, 1630056361, 1638247339, 1646479663, 1654753171, 1663067983,
1671424453, 1679823529, 1688264821, 1696747933, 1705274281, 1713842971, 1722455041, 1731110413, 1739809453, 1748552191,
1757338801, 1766169469, 1775044321, 1783964011, 1792928563, 1801937551, 1810991953, 1820092411, 1829238529, 1838430049,
1847668261, 1856952901, 1866284053, 1875661441, 1885086211, 1894558849, 1904078509, 1913646613, 1923262879, 1932927301,
1942639969, 1952401513, 1962212209, 1972072309, 1981982089, 1991941621, 2001951313, 2012011093, 2022121249, 2032282633,
2042495071, 2052758821, 2063074129, 2073441199, 2083860043, 2094331663, 2104854991, 2115431809, 2126062051, 2136745621
};
private static final int MAX_REGULAR_CAPACITY_FOR_DOUBLED_ARRAY = 107332723;
private static final int MAX_REGULAR_CAPACITY =
REGULAR_CAPACITIES[REGULAR_CAPACITIES.length - 1];
private static final int[] SMALL_CAPACITY_LOOKUP_TABLE = new int[] {
5, 5, 5, 5, 5, 5, 7, 7, 11, 11,
11, 11, 13, 13, 19, 19, 19, 19, 19, 19,
23, 23, 23, 23, 29, 29, 29, 29, 29, 29,
41, 41, 41, 41, 41, 41, 41, 41, 41, 41,
41, 41, 43, 43, 47, 47, 47, 47, 53, 53,
53, 53, 53, 53, 61, 61, 61, 61, 61, 61,
61, 61, 67, 67, 67, 67, 67, 67, 73, 73,
73, 73, 73, 73, 79, 79, 79, 79, 79, 79,
83, 83, 83, 83, 89, 89, 89, 89, 89, 89,
97, 97, 97, 97, 97, 97, 97, 97, 103, 103,
103, 103, 103, 103, 109, 109, 109, 109, 109, 109,
113, 113, 113, 113, 127, 127, 127, 127, 127, 127,
127, 127, 127, 127, 127, 127, 127, 127, 131, 131,
131, 131, 139, 139, 139, 139, 139, 139, 139, 139,
151, 151, 151, 151, 151, 151, 151, 151, 151, 151,
151, 151, 157, 157, 157, 157, 157, 157, 163, 163,
163, 163, 163, 163, 167, 167, 167, 167, 173, 173,
173, 173, 173, 173, 181, 181, 181, 181, 181, 181,
181, 181, 193, 193, 193, 193, 193, 193, 193, 193,
193, 193, 193, 193, 199, 199, 199, 199, 199, 199,
211, 211, 211, 211, 211, 211, 211, 211, 211, 211,
211, 211, 223, 223, 223, 223, 223, 223, 223, 223,
223, 223, 223, 223, 229, 229, 229, 229, 229, 229,
233, 233, 233, 233, 241, 241, 241, 241, 241, 241,
241, 241, 251, 251, 251, 251, 251, 251, 251, 251,
251, 251, 257, 257, 257, 257, 257, 257, 263, 263,
263, 263, 263, 263, 271, 271, 271, 271, 271, 271,
271, 271, 277, 277, 277, 277, 277, 277, 283, 283,
283, 283, 283, 283, 293, 293, 293, 293, 293, 293,
293, 293, 293, 293, 307, 307, 307, 307, 307, 307,
307, 307, 307, 307, 307, 307, 307, 307, 313, 313,
313, 313, 313, 313, 317, 317, 317, 317, 331, 331,
331, 331, 331, 331, 331, 331, 331, 331, 331, 331,
331, 331, 337, 337, 337, 337, 337, 337, 349, 349,
349, 349, 349, 349, 349, 349, 349, 349, 349, 349,
353, 353, 353, 353, 359, 359, 359, 359, 359, 359,
367, 367, 367, 367, 367, 367, 367, 367, 373, 373,
373, 373, 373, 373, 379, 379, 379, 379, 379, 379,
383, 383, 383, 383, 389, 389, 389, 389, 389, 389,
397, 397, 397, 397, 397, 397, 397, 397, 401, 401,
401, 401, 409, 409, 409, 409, 409, 409, 409, 409,
421, 421, 421, 421, 421, 421, 421, 421, 421, 421,
421, 421, 433, 433, 433, 433, 433, 433, 433, 433,
433, 433, 433, 433, 439, 439, 439, 439, 439, 439,
443, 443, 443, 443, 449, 449, 449, 449, 449, 449,
457, 457, 457, 457, 457, 457, 457, 457, 463, 463,
463, 463, 463, 463, 467, 467, 467, 467, 479, 479,
479, 479, 479, 479, 479, 479, 479, 479, 479, 479,
487, 487, 487, 487, 487, 487, 487, 487, 491, 491,
491, 491, 499, 499, 499, 499, 499, 499, 499, 499,
503, 503, 503, 503, 509, 509, 509, 509, 509, 509,
523, 523, 523, 523, 523, 523, 523, 523, 523, 523,
523, 523, 523, 523, 541, 541, 541, 541, 541, 541,
541, 541, 541, 541, 541, 541, 541, 541, 541, 541,
541, 541, 547, 547, 547, 547, 547, 547, 557, 557,
557, 557, 557, 557, 557, 557, 557, 557, 563, 563,
563, 563, 563, 563, 571, 571, 571, 571, 571, 571,
571, 571, 577, 577, 577, 577, 577, 577, 587, 587,
587, 587, 587, 587, 587, 587, 587, 587, 593, 593,
593, 593, 593, 593, 601, 601, 601, 601, 601, 601,
601, 601, 607, 607, 607, 607, 607, 607, 613, 613,
613, 613, 613, 613, 619, 619, 619, 619, 619, 619,
631, 631, 631, 631, 631, 631, 631, 631, 631, 631,
631, 631, 643, 643, 643, 643, 643, 643, 643, 643,
643, 643, 643, 643, 647, 647, 647, 647, 653, 653,
653, 653, 653, 653, 661, 661, 661, 661, 661, 661,
661, 661, 673, 673, 673, 673, 673, 673, 673, 673,
673, 673, 673, 673, 677, 677, 677, 677, 683, 683,
683, 683, 683, 683, 691, 691, 691, 691, 691, 691,
691, 691, 701, 701, 701, 701, 701, 701, 701, 701,
701, 701, 709, 709, 709, 709, 709, 709, 709, 709,
719, 719, 719, 719, 719, 719, 719, 719, 719, 719,
727, 727, 727, 727, 727, 727, 727, 727, 733, 733,
733, 733, 733, 733, 739, 739, 739, 739, 739, 739,
743, 743, 743, 743, 751, 751, 751, 751, 751, 751,
751, 751, 757, 757, 757, 757, 757, 757, 761, 761,
761, 761, 769, 769, 769, 769, 769, 769, 769, 769,
773, 773, 773, 773, 787, 787, 787, 787, 787, 787,
787, 787, 787, 787, 787, 787, 787, 787, 797, 797,
797, 797, 797, 797, 797, 797, 797, 797, 811, 811,
811, 811, 811, 811, 811, 811, 811, 811, 811, 811,
811, 811, 823, 823, 823, 823, 823, 823, 823, 823,
823, 823, 823, 823, 829, 829, 829, 829, 829, 829,
839, 839, 839, 839, 839, 839, 839, 839, 839, 839,
853, 853, 853, 853, 853, 853, 853, 853, 853, 853,
853, 853, 853, 853, 859, 859, 859, 859, 859, 859,
863, 863, 863, 863, 877, 877, 877, 877, 877, 877,
877, 877, 877, 877, 877, 877, 877, 877, 883, 883,
883, 883, 883, 883, 887, 887, 887, 887, 907, 907,
907, 907, 907, 907, 907, 907, 907, 907, 907, 907,
907, 907, 907, 907, 907, 907, 907, 907, 911, 911,
911, 911, 919, 919, 919, 919, 919, 919, 919, 919,
929, 929, 929, 929, 929, 929, 929, 929, 929, 929,
937, 937, 937, 937, 937, 937, 937, 937, 941, 941,
941, 941, 947, 947, 947, 947, 947, 947, 953, 953,
953, 953, 953, 953, 967, 967, 967, 967, 967, 967,
967, 967, 967, 967, 967, 967, 967, 967, 971, 971,
971, 971, 977, 977, 977, 977, 977, 977, 983, 983,
983, 983, 983, 983, 991, 991, 991, 991, 991, 991,
991, 991, 997, 997, 997, 997, 997, 997, 1009, 1009,
1009, 1009, 1009, 1009, 1009, 1009, 1009, 1009, 1009, 1009,
1013, 1013, 1013, 1013, 1021, 1021, 1021, 1021, 1021, 1021
};
private DHashCapacities() {}
}