1 | /**************************************** |
---|
2 | * Computer Algebra System SINGULAR * |
---|
3 | ****************************************/ |
---|
4 | /*************************************************************** |
---|
5 | * File: sbuckets.cc |
---|
6 | * Purpose: implementation of routines for sorting polys using |
---|
7 | * a bucket sort |
---|
8 | * Author: obachman (Olaf Bachmann) |
---|
9 | * Created: 9/00 |
---|
10 | *******************************************************************/ |
---|
11 | #include "omalloc/omalloc.h" |
---|
12 | |
---|
13 | #include "misc/auxiliary.h" |
---|
14 | |
---|
15 | #include "polys/sbuckets.h" |
---|
16 | |
---|
17 | #include "polys/monomials/ring.h" |
---|
18 | #include "polys/monomials/p_polys.h" |
---|
19 | |
---|
20 | |
---|
21 | |
---|
22 | ////////////////////////////////////////////////////////////////////////// |
---|
23 | // Declarations |
---|
24 | // |
---|
25 | |
---|
26 | class sBucketPoly |
---|
27 | { |
---|
28 | public: |
---|
29 | poly p; |
---|
30 | long length; |
---|
31 | }; |
---|
32 | |
---|
33 | class sBucket |
---|
34 | { |
---|
35 | public: |
---|
36 | ring bucket_ring; |
---|
37 | long max_bucket; |
---|
38 | sBucketPoly buckets[BIT_SIZEOF_LONG - 3]; |
---|
39 | } |
---|
40 | ; |
---|
41 | |
---|
42 | static omBin sBucket_bin = omGetSpecBin(sizeof(sBucket)); |
---|
43 | |
---|
44 | |
---|
45 | ////////////////////////////////////////////////////////////////////////// |
---|
46 | // New API: |
---|
47 | // |
---|
48 | |
---|
49 | /// Returns bucket ring |
---|
50 | ring sBucketGetRing(const sBucket_pt bucket) |
---|
51 | { return bucket->bucket_ring; } |
---|
52 | |
---|
53 | |
---|
54 | bool sIsEmpty(const sBucket_pt bucket) |
---|
55 | { |
---|
56 | for(int i = 0; i < (BIT_SIZEOF_LONG - 3); i++) |
---|
57 | { |
---|
58 | assume( i < (BIT_SIZEOF_LONG - 3) ); |
---|
59 | assume( pLength(bucket->buckets[i].p) == bucket->buckets[i].length ); |
---|
60 | |
---|
61 | if( bucket->buckets[i].p != NULL ) |
---|
62 | return false; |
---|
63 | |
---|
64 | if( bucket->buckets[i].length != 0 ) |
---|
65 | return false; |
---|
66 | } |
---|
67 | |
---|
68 | return( bucket->max_bucket == 0 ); |
---|
69 | |
---|
70 | } |
---|
71 | |
---|
72 | |
---|
73 | /// Copy sBucket non-intrusive!!! |
---|
74 | sBucket_pt sBucketCopy(const sBucket_pt bucket) |
---|
75 | { |
---|
76 | const ring r = bucket->bucket_ring; |
---|
77 | |
---|
78 | sBucket_pt newbucket = sBucketCreate(r); |
---|
79 | |
---|
80 | newbucket->max_bucket = bucket->max_bucket; |
---|
81 | |
---|
82 | for(int i = 0; i <= bucket->max_bucket; i++) |
---|
83 | { |
---|
84 | assume( i < (BIT_SIZEOF_LONG - 3) ); |
---|
85 | assume( pLength(bucket->buckets[i].p) == bucket->buckets[i].length ); |
---|
86 | |
---|
87 | newbucket->buckets[i].p = p_Copy(bucket->buckets[i].p, r); |
---|
88 | newbucket->buckets[i].length = bucket->buckets[i].length; |
---|
89 | |
---|
90 | assume( pLength(newbucket->buckets[i].p) == newbucket->buckets[i].length ); |
---|
91 | } |
---|
92 | |
---|
93 | return newbucket; |
---|
94 | } |
---|
95 | |
---|
96 | ////////////////////////////////////////////////////////////////////////// |
---|
97 | // Creation/Destruction of buckets |
---|
98 | // |
---|
99 | sBucket_pt sBucketCreate(const ring r) |
---|
100 | { |
---|
101 | sBucket_pt bucket = (sBucket_pt) omAlloc0Bin(sBucket_bin); |
---|
102 | bucket->bucket_ring = r; |
---|
103 | return bucket; |
---|
104 | } |
---|
105 | |
---|
106 | void sBucketDestroy(sBucket_pt *bucket) |
---|
107 | { |
---|
108 | assume(bucket != NULL); |
---|
109 | omFreeBin(*bucket, sBucket_bin); |
---|
110 | *bucket = NULL; |
---|
111 | } |
---|
112 | |
---|
113 | void sBucketDeleteAndDestroy(sBucket_pt *bucket_pt) |
---|
114 | { |
---|
115 | sBucket_pt bucket = *bucket_pt; |
---|
116 | int i; |
---|
117 | for (i=0; i<= bucket->max_bucket; i++) |
---|
118 | { |
---|
119 | p_Delete(&(bucket->buckets[i].p), bucket->bucket_ring); |
---|
120 | } |
---|
121 | omFreeBin(bucket, sBucket_bin); |
---|
122 | *bucket_pt = NULL; |
---|
123 | } |
---|
124 | |
---|
125 | |
---|
126 | ///////////////////////////////////////////////////////////////////////////// |
---|
127 | // Convertion from/to SBpolys |
---|
128 | // |
---|
129 | |
---|
130 | void sBucket_Merge_m(sBucket_pt bucket, poly p) |
---|
131 | { |
---|
132 | assume(p != NULL && pNext(p) == NULL); |
---|
133 | int length = 1; |
---|
134 | int i = 0; |
---|
135 | |
---|
136 | while (bucket->buckets[i].p != NULL) |
---|
137 | { |
---|
138 | p = p_Merge_q(p, bucket->buckets[i].p, bucket->bucket_ring); |
---|
139 | length += bucket->buckets[i].length; |
---|
140 | bucket->buckets[i].p = NULL; |
---|
141 | bucket->buckets[i].length = 0; |
---|
142 | i++; |
---|
143 | assume(SI_LOG2(length) == i); |
---|
144 | } |
---|
145 | |
---|
146 | bucket->buckets[i].p = p; |
---|
147 | bucket->buckets[i].length = length; |
---|
148 | if (i > bucket->max_bucket) bucket->max_bucket = i; |
---|
149 | } |
---|
150 | |
---|
151 | void sBucket_Merge_p(sBucket_pt bucket, poly p, int length) |
---|
152 | { |
---|
153 | assume(bucket != NULL); |
---|
154 | assume(length <= 0 || length == pLength(p)); |
---|
155 | |
---|
156 | if (p == NULL) return; |
---|
157 | if (length <= 0) length = pLength(p); |
---|
158 | |
---|
159 | int i = SI_LOG2(length); |
---|
160 | |
---|
161 | while (bucket->buckets[i].p != NULL) |
---|
162 | { |
---|
163 | p = p_Merge_q(p, bucket->buckets[i].p, bucket->bucket_ring); |
---|
164 | length += bucket->buckets[i].length; |
---|
165 | bucket->buckets[i].p = NULL; |
---|
166 | bucket->buckets[i].length = 0; |
---|
167 | i++; |
---|
168 | assume(SI_LOG2(length) == i); |
---|
169 | } |
---|
170 | |
---|
171 | bucket->buckets[i].p = p; |
---|
172 | bucket->buckets[i].length = length; |
---|
173 | if (i > bucket->max_bucket) bucket->max_bucket = i; |
---|
174 | } |
---|
175 | |
---|
176 | void sBucket_Add_m(sBucket_pt bucket, poly p) |
---|
177 | { |
---|
178 | assume(bucket != NULL); |
---|
179 | assume(1 == pLength(p)); |
---|
180 | |
---|
181 | int length = 1; |
---|
182 | |
---|
183 | int i = 0; //SI_LOG2(length); |
---|
184 | |
---|
185 | while (bucket->buckets[i].p != NULL) |
---|
186 | { |
---|
187 | int shorter; |
---|
188 | p = bucket->bucket_ring->p_Procs->p_Add_q(p, bucket->buckets[i].p, |
---|
189 | shorter, bucket->bucket_ring); |
---|
190 | length+=bucket->buckets[i].length-shorter; |
---|
191 | bucket->buckets[i].p = NULL; |
---|
192 | bucket->buckets[i].length = 0; |
---|
193 | if (p==NULL) |
---|
194 | { |
---|
195 | if (i > bucket->max_bucket) bucket->max_bucket = i; |
---|
196 | return; |
---|
197 | } |
---|
198 | i = SI_LOG2(length); |
---|
199 | } |
---|
200 | |
---|
201 | bucket->buckets[i].p = p; |
---|
202 | bucket->buckets[i].length = length; |
---|
203 | if (i > bucket->max_bucket) bucket->max_bucket = i; |
---|
204 | } |
---|
205 | |
---|
206 | void sBucket_Add_p(sBucket_pt bucket, poly p, int length) |
---|
207 | { |
---|
208 | assume(bucket != NULL); |
---|
209 | assume(length <= 0 || length == pLength(p)); |
---|
210 | |
---|
211 | if (p == NULL) return; |
---|
212 | if (length <= 0) length = pLength(p); |
---|
213 | |
---|
214 | int i = SI_LOG2(length); |
---|
215 | |
---|
216 | while (bucket->buckets[i].p != NULL) |
---|
217 | { |
---|
218 | int shorter; |
---|
219 | p = bucket->bucket_ring->p_Procs->p_Add_q(p, bucket->buckets[i].p, shorter, |
---|
220 | bucket->bucket_ring); |
---|
221 | length+= bucket->buckets[i].length-shorter; |
---|
222 | bucket->buckets[i].p = NULL; |
---|
223 | bucket->buckets[i].length = 0; |
---|
224 | if (p==NULL) |
---|
225 | { |
---|
226 | if (i > bucket->max_bucket) bucket->max_bucket = i; |
---|
227 | return; |
---|
228 | } |
---|
229 | i = SI_LOG2(length); |
---|
230 | } |
---|
231 | |
---|
232 | bucket->buckets[i].p = p; |
---|
233 | bucket->buckets[i].length = length; |
---|
234 | if (i > bucket->max_bucket) bucket->max_bucket = i; |
---|
235 | } |
---|
236 | |
---|
237 | // Converts SBpoly into a poly and clears bucket |
---|
238 | // i.e., afterwards SBpoly == 0 |
---|
239 | void sBucketClearMerge(sBucket_pt bucket, poly *p, int *length) |
---|
240 | { |
---|
241 | poly pr = NULL; |
---|
242 | int lr = 0; |
---|
243 | int i = 0; |
---|
244 | |
---|
245 | while (bucket->buckets[i].p == NULL) |
---|
246 | { |
---|
247 | i++; |
---|
248 | if (i > bucket->max_bucket) goto done; |
---|
249 | } |
---|
250 | |
---|
251 | pr = bucket->buckets[i].p; |
---|
252 | lr = bucket->buckets[i].length; |
---|
253 | bucket->buckets[i].p = NULL; |
---|
254 | bucket->buckets[i].length = 0; |
---|
255 | i++; |
---|
256 | |
---|
257 | while (i <= bucket->max_bucket) |
---|
258 | { |
---|
259 | if (bucket->buckets[i].p != NULL) |
---|
260 | { |
---|
261 | pr = p_Merge_q(pr, bucket->buckets[i].p,bucket->bucket_ring); |
---|
262 | lr += bucket->buckets[i].length; |
---|
263 | bucket->buckets[i].p = NULL; |
---|
264 | bucket->buckets[i].length = 0; |
---|
265 | } |
---|
266 | i++; |
---|
267 | } |
---|
268 | |
---|
269 | done: |
---|
270 | *p = pr; |
---|
271 | *length = lr; |
---|
272 | bucket->max_bucket = 0; |
---|
273 | } |
---|
274 | |
---|
275 | // Converts SBpoly into a poly and clears bucket |
---|
276 | // i.e., afterwards SBpoly == 0 |
---|
277 | void sBucketClearAdd(sBucket_pt bucket, poly *p, int *length) |
---|
278 | { |
---|
279 | poly pr = NULL; |
---|
280 | int lr = 0; |
---|
281 | int i = 0; |
---|
282 | |
---|
283 | while (bucket->buckets[i].p == NULL) |
---|
284 | { |
---|
285 | assume( bucket->buckets[i].length == 0 ); |
---|
286 | i++; |
---|
287 | if (i > bucket->max_bucket) goto done; |
---|
288 | } |
---|
289 | |
---|
290 | pr = bucket->buckets[i].p; |
---|
291 | lr = bucket->buckets[i].length; |
---|
292 | |
---|
293 | assume( pr != NULL && (lr > 0) ); |
---|
294 | |
---|
295 | bucket->buckets[i].p = NULL; |
---|
296 | bucket->buckets[i].length = 0; |
---|
297 | i++; |
---|
298 | |
---|
299 | while (i <= bucket->max_bucket) |
---|
300 | { |
---|
301 | if (bucket->buckets[i].p != NULL) |
---|
302 | { |
---|
303 | assume( bucket->buckets[i].length == pLength(bucket->buckets[i].p) ); |
---|
304 | |
---|
305 | pr = p_Add_q(pr, bucket->buckets[i].p, lr, bucket->buckets[i].length, |
---|
306 | bucket->bucket_ring); |
---|
307 | |
---|
308 | bucket->buckets[i].p = NULL; |
---|
309 | bucket->buckets[i].length = 0; |
---|
310 | } |
---|
311 | |
---|
312 | assume( bucket->buckets[i].p == NULL ); |
---|
313 | assume( bucket->buckets[i].length == 0 ); |
---|
314 | i++; |
---|
315 | } |
---|
316 | |
---|
317 | done: |
---|
318 | |
---|
319 | *p = pr; |
---|
320 | *length = lr; |
---|
321 | |
---|
322 | bucket->max_bucket = 0; |
---|
323 | |
---|
324 | assume( sIsEmpty(bucket) ); |
---|
325 | } |
---|
326 | |
---|
327 | |
---|
328 | |
---|
329 | |
---|
330 | ///////////////////////////////////////////////////////////////////////////// |
---|
331 | // Sorts a poly using BucketSort |
---|
332 | // |
---|
333 | |
---|
334 | poly sBucketSortMerge(poly p, const ring r) |
---|
335 | { |
---|
336 | if (p == NULL || pNext(p) == NULL) return p; |
---|
337 | |
---|
338 | #ifndef SING_NDEBUG |
---|
339 | int l_in = pLength(p); |
---|
340 | #endif |
---|
341 | sBucket_pt bucket = sBucketCreate(r); |
---|
342 | poly pn = pNext(p); |
---|
343 | |
---|
344 | do |
---|
345 | { |
---|
346 | pNext(p) = NULL; |
---|
347 | sBucket_Merge_m(bucket, p); |
---|
348 | p = pn; |
---|
349 | if (p == NULL) break; |
---|
350 | pn = pNext(pn); |
---|
351 | } |
---|
352 | while (1); |
---|
353 | |
---|
354 | int l_dummy; |
---|
355 | sBucketClearMerge(bucket, &pn, &l_dummy); |
---|
356 | sBucketDestroy(&bucket); |
---|
357 | |
---|
358 | p_Test(pn, r); |
---|
359 | assume(l_dummy == pLength(pn)); |
---|
360 | assume(l_in == l_dummy); |
---|
361 | return pn; |
---|
362 | } |
---|
363 | |
---|
364 | ///////////////////////////////////////////////////////////////////////////// |
---|
365 | // Sorts a poly using BucketSort |
---|
366 | // |
---|
367 | |
---|
368 | poly sBucketSortAdd(poly p, const ring r) |
---|
369 | { |
---|
370 | #ifndef SING_NDEBUG |
---|
371 | int l_in = pLength(p); |
---|
372 | #endif |
---|
373 | |
---|
374 | if (p == NULL || pNext(p) == NULL) return p; |
---|
375 | |
---|
376 | sBucket_pt bucket = sBucketCreate(r); |
---|
377 | poly pn = pNext(p); |
---|
378 | |
---|
379 | do |
---|
380 | { |
---|
381 | pNext(p) = NULL; |
---|
382 | sBucket_Add_m(bucket, p); |
---|
383 | p = pn; |
---|
384 | if (p == NULL) break; |
---|
385 | pn = pNext(pn); |
---|
386 | } |
---|
387 | while (1); |
---|
388 | |
---|
389 | int l_dummy; |
---|
390 | sBucketClearAdd(bucket, &pn, &l_dummy); |
---|
391 | sBucketDestroy(&bucket); |
---|
392 | |
---|
393 | p_Test(pn, r); |
---|
394 | #ifndef SING_NDEBUG |
---|
395 | assume(l_dummy == pLength(pn)); |
---|
396 | assume(l_in >= l_dummy); |
---|
397 | #endif |
---|
398 | return pn; |
---|
399 | } |
---|