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| 1 // Copyright (c) 2011, the Dart project authors. Please see the AUTHORS file | |
| 2 // for details. All rights reserved. Use of this source code is governed by a | |
| 3 // BSD-style license that can be found in the LICENSE file. | |
| 4 | |
| 5 // Dart test for List.shuffle. | |
| 6 library shuffle_test; | |
| 7 | |
| 8 import "dart:typed_data"; | |
| 9 import "dart:math" show Random; | |
| 10 import "package:expect/expect.dart"; | |
| 11 | |
| 12 main() { | |
| 13 List mkList(int n) => new List.generate(n, (x) => x); | |
| 14 | |
| 15 for (int size in [0, 1, 2, 3, 7, 15, 99, 1023]) { | |
| 16 List numbers = new List.generate(size, (x) => x); | |
| 17 testShuffle(numbers.toList(growable: true)); | |
| 18 testShuffle(numbers.toList(growable: false)); | |
| 19 testShuffle(new Uint32List(size)..setAll(0, numbers)); | |
| 20 testShuffle(new Int32List(size)..setAll(0, numbers)); | |
| 21 testShuffle(new Uint16List(size)..setAll(0, numbers)); | |
| 22 testShuffle(new Int16List(size)..setAll(0, numbers)); | |
| 23 // Some numbers will be truncated in the following two. | |
| 24 testShuffle(new Uint8List(size)..setAll(0, numbers)); | |
| 25 testShuffle(new Int8List(size)..setAll(0, numbers)); | |
| 26 testShuffle(numbers.map((x) => "$x").toList()); | |
| 27 } | |
| 28 | |
| 29 // Check that it actually can keep the same list (regression test). | |
| 30 List l = [1, 2]; | |
| 31 success: | |
| 32 { | |
| 33 for (int i = 0; i < 266; i++) { | |
| 34 int first = l.first; | |
| 35 l.shuffle(); | |
| 36 if (l.first == first) break success; // List didn't change. | |
| 37 } | |
| 38 // Chance of changing 266 times in a row should be < 1:1e80. | |
| 39 Expect.fail("List changes every time."); | |
| 40 } | |
| 41 | |
| 42 testRandom(); | |
| 43 } | |
| 44 | |
| 45 void testShuffle(list) { | |
| 46 List copy = list.toList(); | |
| 47 list.shuffle(); | |
| 48 if (list.length < 2) { | |
| 49 Expect.listEquals(copy, list); | |
| 50 return; | |
| 51 } | |
| 52 // Test that the list after shuffling has the same elements as before, | |
| 53 // without considering order. | |
| 54 Map seen = {}; | |
| 55 for (var e in list) { | |
| 56 seen[e] = seen.putIfAbsent(e, () => 0) + 1; | |
| 57 } | |
| 58 for (var e in copy) { | |
| 59 int remaining = seen[e]; | |
| 60 remaining -= 1; // Throws if e was not in map at all. | |
| 61 if (remaining == 0) { | |
| 62 seen.remove(e); | |
| 63 } else { | |
| 64 seen[e] = remaining; | |
| 65 } | |
| 66 } | |
| 67 Expect.isTrue(seen.isEmpty); | |
| 68 // Test that shuffle actually does make a change. Repeat until the probability | |
| 69 // of a proper shuffling hitting the same list again is less than 10^80 | |
| 70 // (arbitrary bignum - approx. number of atoms in the universe). | |
| 71 // | |
| 72 // The probablility of shuffling a list of length n into the same list is | |
| 73 // 1/n!. If one shuffle didn't change the list, repeat shuffling until | |
| 74 // probability of randomly hitting the same list every time is less than | |
| 75 // 1/1e80. | |
| 76 | |
| 77 bool listsDifferent() { | |
| 78 for (int i = 0; i < list.length; i++) { | |
| 79 if (list[i] != copy[i]) return true; | |
| 80 } | |
| 81 return false; | |
| 82 } | |
| 83 | |
| 84 if (list.length < 59) { | |
| 85 // 59! > 1e80. | |
| 86 double limit = 1e80; | |
| 87 double fact = 1.0; | |
| 88 for (int i = 2; i < list.length; i++) fact *= i; | |
| 89 double combos = fact; | |
| 90 | |
| 91 while (!listsDifferent() && combos < limit) { | |
| 92 list.shuffle(); | |
| 93 combos *= fact; | |
| 94 } | |
| 95 } | |
| 96 if (!listsDifferent()) { | |
| 97 Expect.fail("Didn't shuffle at all, p < 1:1e80: $list"); | |
| 98 } | |
| 99 } | |
| 100 | |
| 101 // Checks that the "random" argument to shuffle is used. | |
| 102 testRandom() { | |
| 103 List randomNums = [37, 87, 42, 157, 252, 17]; | |
| 104 List numbers = new List.generate(25, (x) => x); | |
| 105 List l1 = numbers.toList()..shuffle(new MockRandom(randomNums)); | |
| 106 for (int i = 0; i < 50; i++) { | |
| 107 // With same random sequence, we get the same shuffling each time. | |
| 108 List l2 = numbers.toList()..shuffle(new MockRandom(randomNums)); | |
| 109 Expect.listEquals(l1, l2); | |
| 110 } | |
| 111 } | |
| 112 | |
| 113 class MockRandom implements Random { | |
| 114 final List<int> _values; | |
| 115 int index = 0; | |
| 116 MockRandom(this._values); | |
| 117 | |
| 118 int get _next { | |
| 119 int next = _values[index]; | |
| 120 index = (index + 1) % _values.length; | |
| 121 return next; | |
| 122 } | |
| 123 | |
| 124 int nextInt(int limit) => _next % limit; | |
| 125 | |
| 126 double nextDouble() => _next / 256.0; | |
| 127 | |
| 128 bool nextBool() => _next.isEven; | |
| 129 } | |
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