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| 1 // Copyright (c) 2013, 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 /// Tests algorithm utilities. | |
| 6 | |
| 7 import "package:collection_helpers/all.dart"; | |
| 8 import "package:unittest/unittest.dart"; | |
| 9 import 'dart:math'; | |
| 10 | |
| 11 void main() { | |
| 12 void testShuffle(List list) { | |
| 13 List copy = list.toList(); | |
| 14 shuffle(list); | |
| 15 expect(new UnorderedIterableEquality().equals(list, copy), isTrue); | |
| 16 } | |
| 17 | |
| 18 test("Shuffle 0", () { | |
| 19 testShuffle([]); | |
| 20 }); | |
| 21 test("Shuffle 1", () { | |
| 22 testShuffle([1]); | |
| 23 }); | |
| 24 test("Shuffle 3", () { | |
| 25 testShuffle([1, 2, 3]); | |
| 26 }); | |
| 27 test("Shuffle 10", () { | |
| 28 testShuffle([1, 2, 3, 4, 5, 1, 3, 5, 7, 9]); | |
| 29 }); | |
| 30 test("Shuffle shuffles", () { | |
| 31 List l = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]; | |
| 32 List c = l.toList(); | |
| 33 int count = 0; | |
| 34 do { | |
| 35 shuffle(l); | |
| 36 if (!const ListEquality().equals(c, l)) return; | |
| 37 // Odds of not changing the order should be one in ~ 16! ~= 2e+13. | |
| 38 // Repeat this 10 times, and the odds of accidentally shuffling to the | |
| 39 // same result every time is disappearingly tiny. | |
| 40 count++; | |
| 41 // If this happens even once, it's ok to report it. | |
| 42 print("Failed shuffle $count times"); | |
| 43 if (count == 10) fail("Shuffle didn't change order."); | |
| 44 } while (true); | |
| 45 }); | |
| 46 test("Shuffle sublist", (){ | |
| 47 List l = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]; | |
| 48 List c = l.toList(); | |
| 49 shuffle(l, 4, 12); | |
| 50 expect(const IterableEquality().equals(l.getRange(0, 4), | |
| 51 c.getRange(0, 4)), isTrue); | |
| 52 expect(const IterableEquality().equals(l.getRange(12, 16), | |
| 53 c.getRange(12, 16)), isTrue); | |
| 54 expect(const UnorderedIterableEquality().equals(l.getRange(4, 12), | |
| 55 c.getRange(4, 12)), | |
| 56 isTrue); | |
| 57 | |
| 58 }); | |
| 59 | |
| 60 test("binsearch0", () { | |
| 61 expect(binarySearch([], 2), equals(-1)); | |
| 62 }); | |
| 63 | |
| 64 test("binsearch1", () { | |
| 65 expect(binarySearch([5], 2), equals(-1)); | |
| 66 expect(binarySearch([5], 5), equals(0)); | |
| 67 expect(binarySearch([5], 7), equals(-1)); | |
| 68 }); | |
| 69 | |
| 70 test("binsearch3", () { | |
| 71 expect(binarySearch([0, 5, 10], -1), equals(-1)); | |
| 72 expect(binarySearch([0, 5, 10], 0), equals(0)); | |
| 73 expect(binarySearch([0, 5, 10], 2), equals(-1)); | |
| 74 expect(binarySearch([0, 5, 10], 5), equals(1)); | |
| 75 expect(binarySearch([0, 5, 10], 7), equals(-1)); | |
| 76 expect(binarySearch([0, 5, 10], 10), equals(2)); | |
| 77 expect(binarySearch([0, 5, 10], 12), equals(-1)); | |
| 78 }); | |
| 79 | |
| 80 test("binsearchCompare0", () { | |
| 81 expect(binarySearch([], new C(2), compare: compareC), equals(-1)); | |
| 82 }); | |
| 83 | |
| 84 test("binsearchCompare1", () { | |
| 85 var l1 = [new C(5)]; | |
| 86 expect(binarySearch(l1, new C(2), compare: compareC), equals(-1)); | |
| 87 expect(binarySearch(l1, new C(5), compare: compareC), equals(0)); | |
| 88 expect(binarySearch(l1, new C(7), compare: compareC), equals(-1)); | |
| 89 }); | |
| 90 | |
| 91 test("binsearchCompare3", () { | |
| 92 var l3 = [new C(0), new C(5), new C(10)]; | |
| 93 expect(binarySearch(l3, new C(-1), compare: compareC), equals(-1)); | |
| 94 expect(binarySearch(l3, new C(0), compare: compareC), equals(0)); | |
| 95 expect(binarySearch(l3, new C(2), compare: compareC), equals(-1)); | |
| 96 expect(binarySearch(l3, new C(5), compare: compareC), equals(1)); | |
| 97 expect(binarySearch(l3, new C(7), compare: compareC), equals(-1)); | |
| 98 expect(binarySearch(l3, new C(10), compare: compareC), equals(2)); | |
| 99 expect(binarySearch(l3, new C(12), compare: compareC), equals(-1)); | |
| 100 }); | |
| 101 | |
| 102 test("insertionSortRandom", () { | |
| 103 Random random = new Random(); | |
| 104 for (int i = 0; i < 25; i++) { | |
| 105 List list = new List(i); | |
| 106 for (int j = 0; j < i; j++) { | |
| 107 list[j] = random.nextInt(25); // Expect some equal elements. | |
| 108 } | |
| 109 insertionSort(list); | |
| 110 for (int j = 1; j < i; j++) { | |
| 111 expect(list[j - 1], lessThanOrEqualTo(list[j])); | |
| 112 } | |
| 113 } | |
| 114 }); | |
| 115 | |
| 116 test("insertionSortSubRanges", () { | |
| 117 List l = [6, 5, 4, 3, 2, 1]; | |
| 118 insertionSort(l, start: 2, end: 4); | |
| 119 expect(l, equals([6, 5, 3, 4, 2, 1])); | |
| 120 insertionSort(l, start: 1, end: 1); | |
| 121 expect(l, equals([6, 5, 3, 4, 2, 1])); | |
| 122 insertionSort(l, start: 4, end: 6); | |
| 123 expect(l, equals([6, 5, 3, 4, 1, 2])); | |
| 124 insertionSort(l, start: 0, end: 2); | |
| 125 expect(l, equals([5, 6, 3, 4, 1, 2])); | |
| 126 insertionSort(l, start: 0, end: 6); | |
| 127 expect(l, equals([1, 2, 3, 4, 5, 6])); | |
| 128 }); | |
| 129 | |
| 130 test("insertionSortSpecialCases", () { | |
| 131 List l = [6, 6, 6, 6, 6, 6]; | |
| 132 insertionSort(l); | |
| 133 expect(l, equals([6, 6, 6, 6, 6, 6])); | |
| 134 | |
| 135 l = [6, 6, 3, 3, 0, 0]; | |
| 136 insertionSort(l); | |
| 137 expect(l, equals([0, 0, 3, 3, 6, 6])); | |
| 138 }); | |
| 139 | |
| 140 test("MergeSortRandom", () { | |
| 141 Random random = new Random(); | |
| 142 for (int i = 0; i < 250; i += 1) { | |
| 143 List list = new List(i); | |
| 144 for (int j = 0; j < i; j++) { | |
| 145 list[j] = random.nextInt(i); // Expect some equal elements. | |
| 146 } | |
| 147 mergeSort(list); | |
| 148 for (int j = 1; j < i; j++) { | |
| 149 expect(list[j - 1], lessThanOrEqualTo(list[j])); | |
| 150 } | |
| 151 } | |
| 152 }); | |
| 153 | |
| 154 test("MergeSortPreservesOrder", () { | |
| 155 Random random = new Random(); | |
| 156 // Small case where only insertion call is called, | |
| 157 // larger case where the internal moving insertion sort is used | |
| 158 // larger cases with multiple splittings, numbers just around a power of 2. | |
| 159 for (int size in [8, 50, 511, 512, 513]) { | |
| 160 List list = new List(size); | |
| 161 // Class OC compares using id. | |
| 162 // With size elements with id's in the range 0..size/4, a number of | |
| 163 // collisions are guaranteed. These should be sorted so that the "order" | |
| 164 // part of the objects are still in order. | |
| 165 for (int i = 0; i < size; i++) { | |
| 166 list[i] = new OC(random.nextInt(size >> 2), i); | |
| 167 } | |
| 168 mergeSort(list); | |
| 169 OC prev = list[0]; | |
| 170 for (int i = 1; i < size; i++) { | |
| 171 OC next = list[i]; | |
| 172 expect(prev.id, lessThanOrEqualTo(next.id)); | |
| 173 if (next.id == prev.id) { | |
| 174 expect(prev.order, lessThanOrEqualTo(next.order)); | |
| 175 } | |
| 176 prev = next; | |
| 177 } | |
| 178 // Reverse compare on part of list. | |
| 179 List copy = list.toList(); | |
| 180 int min = size >> 2; | |
| 181 int max = size - min; | |
| 182 mergeSort(list, start: min, end: max, compare: (a, b) => b.compareTo(a)); | |
| 183 prev = list[min]; | |
| 184 for (int i = min + 1; i < max; i++) { | |
| 185 OC next = list[i]; | |
| 186 expect(prev.id, greaterThanOrEqualTo(next.id)); | |
| 187 if (next.id == prev.id) { | |
| 188 expect(prev.order, lessThanOrEqualTo(next.order)); | |
| 189 } | |
| 190 prev = next; | |
| 191 } | |
| 192 // Equals on OC objects is identity, so this means the parts before min, | |
| 193 // and the parts after max, didn't change at all. | |
| 194 expect(list.sublist(0, min), equals(copy.sublist(0, min))); | |
| 195 expect(list.sublist(max), equals(copy.sublist(max))); | |
| 196 } | |
| 197 }); | |
| 198 | |
| 199 test("MergeSortSpecialCases", () { | |
| 200 for (int size in [511, 512, 513]) { | |
| 201 // All equal. | |
| 202 List list = new List(size); | |
| 203 for (int i = 0; i < size; i++) { | |
| 204 list[i] = new OC(0, i); | |
| 205 } | |
| 206 mergeSort(list); | |
| 207 for (int i = 0; i < size; i++) { | |
| 208 expect(list[i].order, equals(i)); | |
| 209 } | |
| 210 // All but one equal, first. | |
| 211 list[0] = new OC(1, 0); | |
| 212 for (int i = 1; i < size; i++) { | |
| 213 list[i] = new OC(0, i); | |
| 214 } | |
| 215 mergeSort(list); | |
| 216 for (int i = 0; i < size - 1; i++) { | |
| 217 expect(list[i].order, equals(i + 1)); | |
| 218 } | |
| 219 expect(list[size - 1].order, equals(0)); | |
| 220 | |
| 221 // All but one equal, last. | |
| 222 for (int i = 0; i < size - 1; i++) { | |
| 223 list[i] = new OC(0, i); | |
| 224 } | |
| 225 list[size - 1] = new OC(-1, size - 1); | |
| 226 mergeSort(list); | |
| 227 expect(list[0].order, equals(size - 1)); | |
| 228 for (int i = 1; i < size; i++) { | |
| 229 expect(list[i].order, equals(i - 1)); | |
| 230 } | |
| 231 | |
| 232 // Reversed. | |
| 233 for (int i = 0; i < size; i++) { | |
| 234 list[i] = new OC(size - 1 - i, i); | |
| 235 } | |
| 236 mergeSort(list); | |
| 237 for (int i = 0; i < size; i++) { | |
| 238 expect(list[i].id, equals(i)); | |
| 239 expect(list[i].order, equals(size - 1 - i)); | |
| 240 } | |
| 241 } | |
| 242 }); | |
| 243 | |
| 244 test("Reverse", () { | |
| 245 List l = [6, 5, 4, 3, 2, 1]; | |
| 246 reverse(l, 2, 4); | |
| 247 expect(l, equals([6, 5, 3, 4, 2, 1])); | |
| 248 reverse(l, 1, 1); | |
| 249 expect(l, equals([6, 5, 3, 4, 2, 1])); | |
| 250 reverse(l, 4, 6); | |
| 251 expect(l, equals([6, 5, 3, 4, 1, 2])); | |
| 252 reverse(l, 0, 2); | |
| 253 expect(l, equals([5, 6, 3, 4, 1, 2])); | |
| 254 reverse(l, 0, 6); | |
| 255 expect(l, equals([2, 1, 4, 3, 6, 5])); | |
| 256 }); | |
| 257 } | |
| 258 | |
| 259 class C { | |
| 260 final int id; | |
| 261 C(this.id); | |
| 262 } | |
| 263 int compareC(C one, C other) => one.id - other.id; | |
| 264 | |
| 265 class OC implements Comparable<OC> { | |
| 266 final int id; | |
| 267 final int order; | |
| 268 OC(this.id, this.order); | |
| 269 int compareTo(OC other) => id - other.id; | |
| 270 String toString() => "OC[$id,$order]"; | |
| 271 } | |
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