src: update most tools to new constructors
[nit.git] / src / compiler / coloring.nit
1 # This file is part of NIT ( http://www.nitlanguage.org ).
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
15 module coloring
16
17 import poset
18
19 # Build a conflict graph from a POSet
20 class POSetConflictGraph[E: Object]
21
22 # Core is composed by:
23 # * elements that have mutiple direct parents
24 # * parents of elements that have multiple direct parents
25 # REQUIRE: is_colored
26 var core = new HashSet[E]
27
28 # Border is composed by minimal elements of the core:
29 # * that have multiple direct parents
30 # * but whose subelements are all in single inheritance
31 # REQUIRE: is_colored
32 var border = new HashSet[E]
33
34 # The crown is composed by the elements that are:
35 # * not part of the core nor the border
36 # * are in single inheritance
37 # REQUIRE: is_colored
38 var crown = new HashSet[E]
39
40 # Conflict graph of the POSet
41 # Elements X and Y are in conflict if either:
42 # * X and Y are the same element
43 # * Y is a subelement of X
44 # * X and Y have common sub elements
45 # REQUIRE: is_colored
46 var conflicts = new HashMap[E, Set[E]]
47
48 var poset: POSet[E]
49
50 init do
51 extract_core
52 extract_border
53 extract_crown
54 compute_conflicts
55 end
56
57 # Compute the set of elements forming the core of the poset hierarchy.
58 private fun extract_core do
59 core.clear
60 for e in poset do
61 if poset[e].direct_greaters.length > 1 then
62 core.add_all(poset[e].greaters)
63 end
64 end
65 end
66
67 # Compute the set of elements composing the border of the core
68 # Elements belonging to the `border` are removed from the `core`
69 private fun extract_border do
70 border.clear
71 for e in core do
72 if not is_border(e) then continue
73 border.add(e)
74 end
75 for e in border do core.remove(e)
76 end
77
78 private fun is_border(e: E): Bool do
79 for child in poset[e].direct_smallers do
80 if core.has(child) then return false
81 end
82 return true
83 end
84
85 # Compute the set of elements belonging to the crown of the inheritance hierarchy.
86 private fun extract_crown do
87 crown.clear
88 for e in poset do
89 if not core.has(e) and not border.has(e) then crown.add(e)
90 end
91 end
92
93 # Check for conflict in the core.
94 # Start from border and tag every ancestors
95 private fun compute_conflicts do
96 conflicts.clear
97 for e in border do add_conflicts(poset[e].greaters)
98 end
99
100 private fun add_conflict(e, o: E) do
101 if not conflicts.has_key(e) then conflicts[e] = new HashSet[E]
102 if not conflicts.has_key(o) then conflicts[o] = new HashSet[E]
103 conflicts[e].add(o)
104 conflicts[o].add(e)
105 end
106
107 private fun add_conflicts(es: Collection[E]) do
108 for e1 in es do
109 for e2 in es do add_conflict(e1, e2)
110 end
111 end
112
113 # Used for debugging only
114 fun pretty_print do
115 #print "core: {core.join(" ")} ({core.length})"
116 #print "border: {border.join(" ")} ({border.length})"
117 #print "crown: {crown.join(" ")} ({crown.length})"
118 print "conflicts:"
119 for e, c in conflicts do print " {e}: {c.join(" ")}"
120 end
121 end
122
123 # Colorize elements from a POSet
124 # Two elements from a POSet cannot have the same color if they share common subelements
125 #
126 # Example:
127 # A
128 # / | \
129 # / | \
130 # B C D
131 # | /| |
132 # | / | |
133 # |/ | |
134 # E F G
135 # |
136 # H
137 # Conflicts:
138 # A: {B, C, D, E, F, G, H}
139 # B: {A, C, E, H}
140 # C: {A, E, H, F}
141 # D: {A, G}
142 # E: {A, B, C, H}
143 # F: {A, C}
144 # G: {A, D}
145 # H: {A, B, C, E}
146 # Possible colors:
147 # A:0, B:1, C: 2, D: 1, E: 3, F:3, G:2, H:4
148 #
149 # see:
150 # Ducournau, R. (2011).
151 # Coloring, a versatile technique for implementing object-oriented languages.
152 # Software: Practice and Experience, 41(6), 627–659.
153 class POSetColorer[E: Object]
154
155 # Is the poset already colored?
156 var is_colored = false
157
158 # Resulting ids
159 # REQUIRE: is_colored
160 fun ids: Map[E, Int] do
161 assert is_colored
162 return ids_cache
163 end
164 private var ids_cache = new HashMap[E, Int]
165
166 # Resulting colors
167 # REQUIRE: is_colored
168 fun colors: Map[E, Int] do
169 assert is_colored
170 return colors_cache
171 end
172 private var colors_cache = new HashMap[E, Int]
173
174 # REQUIRE: is_colored
175 fun poset: POSet[E] do
176 assert is_colored
177 return poset_cache
178 end
179 private var poset_cache: POSet[E] is noinit
180
181 # REQUIRE: is_colored
182 fun conflicts: Map[E, Set[E]] do
183 assert is_colored
184 return conflicts_cache
185 end
186 private var conflicts_cache: Map[E, Set[E]] is noinit
187
188 private var graph: POSetConflictGraph[E] is noinit
189
190 # Start coloring on given POSet
191 fun colorize(poset: POSet[E]) do
192 poset_cache = poset
193 graph = new POSetConflictGraph[E](poset)
194 allocate_ids
195 compute_colors
196 conflicts_cache = graph.conflicts
197 is_colored = true
198 end
199
200 private fun allocate_ids do
201 ids_cache.clear
202 var elements = new HashSet[E].from(poset_cache.to_a)
203 for e in poset_cache.linearize(elements) do
204 ids_cache[e] = ids_cache.length
205 end
206 end
207
208 # Colorize core, border and crown in that order
209 private fun compute_colors do
210 colors_cache.clear
211 colorize_core
212 colorize_set(graph.border)
213 colorize_set(graph.crown)
214 end
215
216 # Core elements cannot have the same color than:
217 # * one of their parents
218 # * one of their conflicting elements
219 private fun colorize_core do
220 for e in poset_cache.linearize(graph.core) do
221 var color = min_color(e)
222 var conflicts = graph.conflicts[e]
223 while not is_color_free(color, conflicts) do
224 color += 1
225 end
226 colors_cache[e] = color
227 end
228 end
229
230 # Other elements inherit color fron their direct parents
231 private fun colorize_set(set: Set[E]) do
232 for e in poset_cache.linearize(set) do colors_cache[e] = min_color(e)
233 end
234
235 # Get the next minimal color from direct parents
236 private fun min_color(e: E): Int do
237 var max_color = -1
238 for p in poset_cache[e].direct_greaters do
239 if not colors_cache.has_key(p) then continue
240 var color = colors_cache[p]
241 if color > max_color then max_color = color
242 end
243 return max_color + 1
244 end
245
246 private fun is_color_free(color: Int, set: Collection[E]): Bool do
247 for e in set do
248 if colors_cache.has_key(e) and colors_cache[e] == color then return false
249 end
250 return true
251 end
252
253 # Used for debugging only
254 fun pretty_print do
255 print "ids:"
256 for e, id in ids do print " {e}: {id}"
257 print "colors:"
258 for e, c in colors do print " {e}: {c}"
259 end
260 end
261
262 # Colorize a collection of buckets
263 # Two elements cannot have the same color if they both appear in the same bucket
264 # No coloring order is garantied
265 #
266 # Example:
267 # buckets[A] = {x1, x2}
268 # buckets[B] = {x1, x3, x4}
269 # buckets[C] = {x2, x3}
270 # Conflicts:
271 # x1: {x2, x3, x4}
272 # x2: {x1, x3}
273 # x3: {x1, x2, x4}
274 # x4: {x1, x3}
275 # Possible colors:
276 # x1: 0, x2: 1, x3: 2, x4: 1
277 class BucketsColorer[H: Object, E: Object]
278 private var colors = new HashMap[E, Int]
279 private var conflicts = new HashMap[E, Set[E]]
280
281 # Start bucket coloring
282 fun colorize(buckets: Map[H, Set[E]]): Map[E, Int] do
283 compute_conflicts(buckets)
284 var min_color = 0
285 for holder, hbuckets in buckets do
286 for bucket in hbuckets do
287 if colors.has_key(bucket) then continue
288 var color = min_color
289 while not is_color_free(bucket, color) do
290 color += 1
291 end
292 colors[bucket] = color
293 color = min_color
294 end
295 end
296 return colors
297 end
298
299 private fun is_color_free(bucket: E, color: Int): Bool do
300 if conflicts.has_key(bucket) then
301 for other in conflicts[bucket] do
302 if colors.has_key(other) and colors[other] == color then return false
303 end
304 end
305 return true
306 end
307
308 private fun compute_conflicts(buckets: Map[H, Set[E]]) do
309 conflicts.clear
310 for holder, hbuckets in buckets do
311 for bucket in hbuckets do
312 if not conflicts.has_key(bucket) then conflicts[bucket] = new HashSet[E]
313 for obucket in hbuckets do
314 if obucket == bucket then continue
315 if not conflicts.has_key(obucket) then conflicts[obucket] = new HashSet[E]
316 conflicts[bucket].add(obucket)
317 conflicts[obucket].add(bucket)
318 end
319 end
320 end
321 end
322 end
323
324 # Colorize a collection of buckets using a poset and a conflict graph
325 # Two elements cannot have the same color if they both appear in the same bucket
326 # The use of a POSet hierarchy optimize the coloring
327 # Buckets elements are colored using linearization order starting
328 class POSetBucketsColorer[H: Object, E: Object]
329 private var colors = new HashMap[E, Int]
330 private var poset: POSet[H]
331 private var conflicts: Map[H, Set[H]]
332
333 # Colorize buckets using the POSet and conflict graph
334 fun colorize(buckets: Map[H, Set[E]]): Map[E, Int] do
335 colors.clear
336 for h in poset.linearize(buckets.keys) do
337 var color = min_color(poset[h].direct_greaters, buckets)
338 for bucket in buckets[h] do
339 if colors.has_key(bucket) then continue
340 while not is_color_free(color, h, buckets) do color += 1
341 colors[bucket] = color
342 color += 1
343 end
344 end
345 return colors
346 end
347
348 # Get the next available color considering used colors by other buckets
349 private fun min_color(others: Collection[H], buckets: Map[H, Set[E]]): Int do
350 var min = -1
351 for holder in others do
352 var color = max_color(holder, buckets)
353 if color > min then min = color
354 end
355 return min + 1
356 end
357
358 # Return the max color used by a class
359 private fun max_color(holder: H, buckets: Map[H, Set[E]]): Int do
360 var max = -1
361 for bucket in buckets[holder] do
362 if not colors.has_key(bucket) then continue
363 var color = colors[bucket]
364 if color > max then max = color
365 end
366 return max
367 end
368
369 # Check if the color is free for this holder
370 private fun is_color_free(color: Int, holder: H, buckets: Map[H, Set[E]]): Bool do
371 if not conflicts.has_key(holder) then return true
372 for conflict in conflicts[holder] do
373 for bucket in buckets[conflict] do
374 if not colors.has_key(bucket) then continue
375 if colors[bucket] == color then return false
376 end
377 end
378 return true
379 end
380 end