Doug Zongker | 424296a | 2014-09-02 08:53:09 -0700 | [diff] [blame] | 1 | # Copyright (C) 2014 The Android Open Source Project |
| 2 | # |
| 3 | # Licensed under the Apache License, Version 2.0 (the "License"); |
| 4 | # you may not use this file except in compliance with the License. |
| 5 | # You may obtain a copy of the License at |
| 6 | # |
| 7 | # http://www.apache.org/licenses/LICENSE-2.0 |
| 8 | # |
| 9 | # Unless required by applicable law or agreed to in writing, software |
| 10 | # distributed under the License is distributed on an "AS IS" BASIS, |
| 11 | # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| 12 | # See the License for the specific language governing permissions and |
| 13 | # limitations under the License. |
| 14 | |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 15 | from __future__ import print_function |
| 16 | import heapq |
| 17 | import itertools |
| 18 | |
| 19 | __all__ = ["RangeSet"] |
| 20 | |
| 21 | class RangeSet(object): |
| 22 | """A RangeSet represents a set of nonoverlapping ranges on the |
| 23 | integers (ie, a set of integers, but efficient when the set contains |
| 24 | lots of runs.""" |
| 25 | |
| 26 | def __init__(self, data=None): |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 27 | if isinstance(data, str): |
| 28 | self._parse_internal(data) |
| 29 | elif data: |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 30 | self.data = tuple(self._remove_pairs(data)) |
| 31 | else: |
| 32 | self.data = () |
| 33 | |
| 34 | def __iter__(self): |
| 35 | for i in range(0, len(self.data), 2): |
| 36 | yield self.data[i:i+2] |
| 37 | |
| 38 | def __eq__(self, other): |
| 39 | return self.data == other.data |
| 40 | def __ne__(self, other): |
| 41 | return self.data != other.data |
| 42 | def __nonzero__(self): |
| 43 | return bool(self.data) |
| 44 | |
| 45 | def __str__(self): |
| 46 | if not self.data: |
| 47 | return "empty" |
| 48 | else: |
| 49 | return self.to_string() |
| 50 | |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 51 | def __repr__(self): |
| 52 | return '<RangeSet("' + self.to_string() + '")>' |
| 53 | |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 54 | @classmethod |
| 55 | def parse(cls, text): |
| 56 | """Parse a text string consisting of a space-separated list of |
| 57 | blocks and ranges, eg "10-20 30 35-40". Ranges are interpreted to |
| 58 | include both their ends (so the above example represents 18 |
| 59 | individual blocks. Returns a RangeSet object. |
| 60 | |
| 61 | If the input has all its blocks in increasing order, then returned |
| 62 | RangeSet will have an extra attribute 'monotonic' that is set to |
| 63 | True. For example the input "10-20 30" is monotonic, but the input |
| 64 | "15-20 30 10-14" is not, even though they represent the same set |
| 65 | of blocks (and the two RangeSets will compare equal with ==). |
| 66 | """ |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 67 | return cls(text) |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 68 | |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 69 | def _parse_internal(self, text): |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 70 | data = [] |
| 71 | last = -1 |
| 72 | monotonic = True |
| 73 | for p in text.split(): |
| 74 | if "-" in p: |
| 75 | s, e = p.split("-") |
| 76 | data.append(int(s)) |
| 77 | data.append(int(e)+1) |
| 78 | if last <= s <= e: |
| 79 | last = e |
| 80 | else: |
| 81 | monotonic = False |
| 82 | else: |
| 83 | s = int(p) |
| 84 | data.append(s) |
| 85 | data.append(s+1) |
| 86 | if last <= s: |
| 87 | last = s+1 |
| 88 | else: |
| 89 | monotonic = True |
| 90 | data.sort() |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 91 | self.data = tuple(self._remove_pairs(data)) |
| 92 | self.monotonic = monotonic |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 93 | |
| 94 | @staticmethod |
| 95 | def _remove_pairs(source): |
| 96 | last = None |
| 97 | for i in source: |
| 98 | if i == last: |
| 99 | last = None |
| 100 | else: |
| 101 | if last is not None: |
| 102 | yield last |
| 103 | last = i |
| 104 | if last is not None: |
| 105 | yield last |
| 106 | |
| 107 | def to_string(self): |
| 108 | out = [] |
| 109 | for i in range(0, len(self.data), 2): |
| 110 | s, e = self.data[i:i+2] |
| 111 | if e == s+1: |
| 112 | out.append(str(s)) |
| 113 | else: |
| 114 | out.append(str(s) + "-" + str(e-1)) |
| 115 | return " ".join(out) |
| 116 | |
| 117 | def to_string_raw(self): |
| 118 | return str(len(self.data)) + "," + ",".join(str(i) for i in self.data) |
| 119 | |
| 120 | def union(self, other): |
| 121 | """Return a new RangeSet representing the union of this RangeSet |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 122 | with the argument. |
| 123 | |
| 124 | >>> RangeSet("10-19 30-34").union(RangeSet("18-29")) |
| 125 | <RangeSet("10-34")> |
| 126 | >>> RangeSet("10-19 30-34").union(RangeSet("22 32")) |
| 127 | <RangeSet("10-19 22 30-34")> |
| 128 | """ |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 129 | out = [] |
| 130 | z = 0 |
| 131 | for p, d in heapq.merge(zip(self.data, itertools.cycle((+1, -1))), |
| 132 | zip(other.data, itertools.cycle((+1, -1)))): |
| 133 | if (z == 0 and d == 1) or (z == 1 and d == -1): |
| 134 | out.append(p) |
| 135 | z += d |
| 136 | return RangeSet(data=out) |
| 137 | |
| 138 | def intersect(self, other): |
| 139 | """Return a new RangeSet representing the intersection of this |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 140 | RangeSet with the argument. |
| 141 | |
| 142 | >>> RangeSet("10-19 30-34").intersect(RangeSet("18-32")) |
| 143 | <RangeSet("18-19 30-32")> |
| 144 | >>> RangeSet("10-19 30-34").intersect(RangeSet("22-28")) |
| 145 | <RangeSet("")> |
| 146 | """ |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 147 | out = [] |
| 148 | z = 0 |
| 149 | for p, d in heapq.merge(zip(self.data, itertools.cycle((+1, -1))), |
| 150 | zip(other.data, itertools.cycle((+1, -1)))): |
| 151 | if (z == 1 and d == 1) or (z == 2 and d == -1): |
| 152 | out.append(p) |
| 153 | z += d |
| 154 | return RangeSet(data=out) |
| 155 | |
| 156 | def subtract(self, other): |
| 157 | """Return a new RangeSet representing subtracting the argument |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 158 | from this RangeSet. |
| 159 | |
| 160 | >>> RangeSet("10-19 30-34").subtract(RangeSet("18-32")) |
| 161 | <RangeSet("10-17 33-34")> |
| 162 | >>> RangeSet("10-19 30-34").subtract(RangeSet("22-28")) |
| 163 | <RangeSet("10-19 30-34")> |
| 164 | """ |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 165 | |
| 166 | out = [] |
| 167 | z = 0 |
| 168 | for p, d in heapq.merge(zip(self.data, itertools.cycle((+1, -1))), |
| 169 | zip(other.data, itertools.cycle((-1, +1)))): |
| 170 | if (z == 0 and d == 1) or (z == 1 and d == -1): |
| 171 | out.append(p) |
| 172 | z += d |
| 173 | return RangeSet(data=out) |
| 174 | |
| 175 | def overlaps(self, other): |
| 176 | """Returns true if the argument has a nonempty overlap with this |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 177 | RangeSet. |
| 178 | |
| 179 | >>> RangeSet("10-19 30-34").overlaps(RangeSet("18-32")) |
| 180 | True |
| 181 | >>> RangeSet("10-19 30-34").overlaps(RangeSet("22-28")) |
| 182 | False |
| 183 | """ |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 184 | |
| 185 | # This is like intersect, but we can stop as soon as we discover the |
| 186 | # output is going to be nonempty. |
| 187 | z = 0 |
| 188 | for p, d in heapq.merge(zip(self.data, itertools.cycle((+1, -1))), |
| 189 | zip(other.data, itertools.cycle((+1, -1)))): |
| 190 | if (z == 1 and d == 1) or (z == 2 and d == -1): |
| 191 | return True |
| 192 | z += d |
| 193 | return False |
| 194 | |
| 195 | def size(self): |
| 196 | """Returns the total size of the RangeSet (ie, how many integers |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 197 | are in the set). |
| 198 | |
| 199 | >>> RangeSet("10-19 30-34").size() |
| 200 | 15 |
| 201 | """ |
Doug Zongker | fc44a51 | 2014-08-26 13:10:25 -0700 | [diff] [blame] | 202 | |
| 203 | total = 0 |
| 204 | for i, p in enumerate(self.data): |
| 205 | if i % 2: |
| 206 | total += p |
| 207 | else: |
| 208 | total -= p |
| 209 | return total |
Doug Zongker | 6233818 | 2014-09-08 08:29:55 -0700 | [diff] [blame] | 210 | |
| 211 | def map_within(self, other): |
| 212 | """'other' should be a subset of 'self'. Returns a RangeSet |
| 213 | representing what 'other' would get translated to if the integers |
| 214 | of 'self' were translated down to be contiguous starting at zero. |
| 215 | |
Doug Zongker | 846cb3a | 2014-09-09 10:55:36 -0700 | [diff] [blame] | 216 | >>> RangeSet("0-9").map_within(RangeSet("3-4")) |
| 217 | <RangeSet("3-4")> |
| 218 | >>> RangeSet("10-19").map_within(RangeSet("13-14")) |
| 219 | <RangeSet("3-4")> |
| 220 | >>> RangeSet("10-19 30-39").map_within(RangeSet("17-19 30-32")) |
| 221 | <RangeSet("7-12")> |
| 222 | >>> RangeSet("10-19 30-39").map_within(RangeSet("12-13 17-19 30-32")) |
| 223 | <RangeSet("2-3 7-12")> |
Doug Zongker | 6233818 | 2014-09-08 08:29:55 -0700 | [diff] [blame] | 224 | """ |
| 225 | |
| 226 | out = [] |
| 227 | offset = 0 |
| 228 | start = None |
| 229 | for p, d in heapq.merge(zip(self.data, itertools.cycle((-5, +5))), |
| 230 | zip(other.data, itertools.cycle((-1, +1)))): |
| 231 | if d == -5: |
| 232 | start = p |
| 233 | elif d == +5: |
| 234 | offset += p-start |
| 235 | start = None |
| 236 | else: |
| 237 | out.append(offset + p - start) |
| 238 | return RangeSet(data=out) |
| 239 | |
| 240 | |
| 241 | if __name__ == "__main__": |
| 242 | import doctest |
| 243 | doctest.testmod() |