Scippy

SCIP

Solving Constraint Integer Programs

sepa_minor.c
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1 /* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
2 /* */
3 /* This file is part of the program and library */
4 /* SCIP --- Solving Constraint Integer Programs */
5 /* */
6 /* Copyright 2002-2022 Zuse Institute Berlin */
7 /* */
8 /* Licensed under the Apache License, Version 2.0 (the "License"); */
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19 /* */
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21 /* along with SCIP; see the file LICENSE. If not visit scipopt.org. */
22 /* */
23 /* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
24 
25 /**@file sepa_minor.c
26  * @ingroup DEFPLUGINS_SEPA
27  * @brief principal minor separator
28  * @author Benjamin Mueller
29  *
30  * @todo detect non-principal minors and use them to derive split cuts
31  */
32 
33 /*---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8----+----9----+----0----+----1----+----2*/
34 
35 #include <assert.h>
36 #include <string.h>
37 
38 #include "scip/sepa_minor.h"
39 #include "scip/cons_nonlinear.h"
40 #include "scip/nlpi_ipopt.h"
41 
42 #define SEPA_NAME "minor"
43 #define SEPA_DESC "separator to ensure that 2x2 principal minors of X - xx' are positive semi-definite"
44 #define SEPA_PRIORITY 0
45 #define SEPA_FREQ 10
46 #define SEPA_MAXBOUNDDIST 1.0
47 #define SEPA_USESSUBSCIP FALSE /**< does the separator use a secondary SCIP instance? */
48 #define SEPA_DELAY FALSE /**< should separation method be delayed, if other separators found cuts? */
49 
50 #define DEFAULT_MAXMINORSCONST 3000 /**< default constant for the maximum number of minors, i.e., max(const, fac * # quadratic terms) */
51 #define DEFAULT_MAXMINORSFAC 10.0 /**< default factor for the maximum number of minors, i.e., max(const, fac * # quadratic terms) */
52 #define DEFAULT_MINCUTVIOL 1e-4 /**< default minimum required violation of a cut */
53 #define DEFAULT_RANDSEED 157 /**< default random seed */
54 #define DEFAULT_MAXROUNDS 10 /**< maximal number of separation rounds per node (-1: unlimited) */
55 #define DEFAULT_MAXROUNDSROOT -1 /**< maximal number of separation rounds in the root node (-1: unlimited) */
56 #define DEFAULT_IGNOREPACKINGCONSS TRUE /**< default for ignoring circle packing constraints during minor detection */
57 
58 /*
59  * Data structures
60  */
61 
62 /** separator data */
63 struct SCIP_SepaData
64 {
65  SCIP_VAR** minors; /**< variables of 2x2 minors; each minor is stored like (auxvar_x^2,auxvar_y^2,auxvar_xy) */
66  int nminors; /**< total number of minors */
67  int minorssize; /**< size of minors array */
68  int maxminorsconst; /**< constant for the maximum number of minors, i.e., max(const, fac * # quadratic terms) */
69  SCIP_Real maxminorsfac; /**< factor for the maximum number of minors, i.e., max(const, fac * # quadratic terms) */
70  int maxrounds; /**< maximal number of separation rounds per node (-1: unlimited) */
71  int maxroundsroot; /**< maximal number of separation rounds in the root node (-1: unlimited) */
72  SCIP_Bool detectedminors; /**< has minor detection be called? */
73  SCIP_Real mincutviol; /**< minimum required violation of a cut */
74  SCIP_RANDNUMGEN* randnumgen; /**< random number generation */
75  SCIP_Bool ignorepackingconss; /**< whether to ignore circle packing constraints during minor detection */
76 };
77 
78 /*
79  * Local methods
80  */
81 
82 /** helper method to store a 2x2 minor in the separation data */
83 static
85  SCIP* scip, /**< SCIP data structure */
86  SCIP_SEPADATA* sepadata, /**< separator data */
87  SCIP_VAR* x, /**< x variable */
88  SCIP_VAR* y, /**< y variable */
89  SCIP_VAR* auxvarxx, /**< auxiliary variable for x*x */
90  SCIP_VAR* auxvaryy, /**< auxiliary variable for y*y */
91  SCIP_VAR* auxvarxy /**< auxiliary variable for x*y */
92  )
93 {
94  assert(sepadata != NULL);
95  assert(x != NULL);
96  assert(y != NULL);
97  assert(x != y);
98  assert(auxvarxx != NULL);
99  assert(auxvaryy != NULL);
100  assert(auxvarxy != NULL);
101  assert(auxvarxx != auxvaryy);
102  assert(auxvarxx != auxvarxy);
103  assert(auxvaryy != auxvarxy);
104 
105  SCIPdebugMsg(scip, "store 2x2 minor: %s %s %s for x=%s y=%s\n", SCIPvarGetName(auxvarxx), SCIPvarGetName(auxvaryy),
106  SCIPvarGetName(auxvarxy), SCIPvarGetName(x), SCIPvarGetName(y));
107 
108  /* reallocate if necessary */
109  if( sepadata->minorssize < 5 * (sepadata->nminors + 1) )
110  {
111  int newsize = SCIPcalcMemGrowSize(scip, 5 * (sepadata->nminors + 1));
112  assert(newsize > 5 * (sepadata->nminors + 1));
113 
114  SCIP_CALL( SCIPreallocBlockMemoryArray(scip, &(sepadata->minors), sepadata->minorssize, newsize) );
115  sepadata->minorssize = newsize;
116  }
117 
118  /* store minor */
119  sepadata->minors[5 * sepadata->nminors] = x;
120  sepadata->minors[5 * sepadata->nminors + 1] = y;
121  sepadata->minors[5 * sepadata->nminors + 2] = auxvarxx;
122  sepadata->minors[5 * sepadata->nminors + 3] = auxvaryy;
123  sepadata->minors[5 * sepadata->nminors + 4] = auxvarxy;
124  ++(sepadata->nminors);
125 
126  /* capture variables */
127  SCIP_CALL( SCIPcaptureVar(scip, x) );
128  SCIP_CALL( SCIPcaptureVar(scip, y) );
129  SCIP_CALL( SCIPcaptureVar(scip, auxvarxx) );
130  SCIP_CALL( SCIPcaptureVar(scip, auxvaryy) );
131  SCIP_CALL( SCIPcaptureVar(scip, auxvarxy) );
132 
133  return SCIP_OKAY;
134 }
135 
136 /** helper method to clear separation data */
137 static
139  SCIP* scip, /**< SCIP data structure */
140  SCIP_SEPADATA* sepadata /**< separator data */
141  )
142 {
143  int i;
144 
145  assert(sepadata != NULL);
146 
147  SCIPdebugMsg(scip, "clear separation data\n");
148 
149  /* release captured variables */
150  for( i = 0; i < 5 * sepadata->nminors; ++i )
151  {
152  assert(sepadata->minors[i] != NULL);
153  SCIP_CALL( SCIPreleaseVar(scip, &sepadata->minors[i]) );
154  }
155 
156  /* free memory */
157  SCIPfreeBlockMemoryArrayNull(scip, &sepadata->minors, sepadata->minorssize);
158 
159  /* reset counters */
160  sepadata->nminors = 0;
161  sepadata->minorssize = 0;
162 
163  return SCIP_OKAY;
164 }
165 
166 /** helper method to identify non-overlapping constraints in circle packing */
167 static
169  SCIP* scip, /**< SCIP data structure */
170  SCIP_CONS* cons /**< nonlinear constraint */
171  )
172 {
173  SCIP_EXPR* root;
174  SCIP_VAR* quadvars[4] = {NULL, NULL, NULL, NULL};
175  SCIP_VAR* bilinvars[4] = {NULL, NULL, NULL, NULL};
176  int nbilinvars = 0;
177  int nquadvars = 0;
178  int nchildren;
179  int i;
180 
181  assert(scip != NULL);
182  assert(cons != NULL);
183 
184  root = SCIPgetExprNonlinear(cons);
185  assert(root != NULL);
186  nchildren = SCIPexprGetNChildren(root);
187 
188  /* non-overlapping constraint has 6 terms (2 bilinear + 4 quadratic) */
189  if( nchildren != 6 || !SCIPisExprSum(scip, root) )
190  return FALSE;
191 
192  for( i = 0; i < nchildren; ++i )
193  {
194  SCIP_EXPR* expr;
195  SCIP_EXPR** children;
196 
197  /* get child */
198  expr = SCIPexprGetChildren(root)[i];
199  assert(expr != NULL);
200  children = SCIPexprGetChildren(expr);
201 
202  /* case: expr = x^2; x is no auxiliary variable */
203  if( SCIPisExprPower(scip, expr) && SCIPgetExponentExprPow(expr) == 2.0
204  && SCIPisExprVar(scip, children[0]) )
205  {
206  SCIP_VAR* x;
207 
208  /* too many quadratic variables -> stop */
209  if( nquadvars > 3 )
210  return FALSE;
211 
212  x = SCIPgetVarExprVar(children[0]);
213  assert(x != NULL);
214 
215  quadvars[nquadvars++] = x;
216  }
217  /* case: expr = x * y; x and y are no auxiliary variables */
218  else if( SCIPisExprProduct(scip, expr) && SCIPexprGetNChildren(expr) == 2
219  && SCIPisExprVar(scip, children[0]) && SCIPisExprVar(scip, children[1]) )
220  {
221  SCIP_VAR* x;
222  SCIP_VAR* y;
223 
224  /* too many bilinear variables -> stop */
225  if( nbilinvars > 2 )
226  return FALSE;
227 
228  x = SCIPgetVarExprVar(children[0]);
229  assert(x != NULL);
230  y = SCIPgetVarExprVar(children[1]);
231  assert(y != NULL);
232  assert(x != y);
233 
234  bilinvars[nbilinvars++] = x;
235  bilinvars[nbilinvars++] = y;
236  }
237  else
238  {
239  return FALSE;
240  }
241  }
242 
243  /* number of bilinear and quadratic terms do not fit */
244  if( nbilinvars != 4 || nquadvars != 4 )
245  return FALSE;
246 
247  /* each quadratic variable has to appear in exactly one bilinear terms */
248  for( i = 0; i < nquadvars; ++i )
249  {
250  int counter = 0;
251  int j;
252 
253  for( j = 0; j < nbilinvars; ++j )
254  {
255  if( quadvars[i] == bilinvars[j] )
256  ++counter;
257  }
258 
259  if( counter != 1 )
260  return FALSE;
261  }
262 
263  return TRUE;
264 }
265 
266 /** helper method to get the variables associated to a minor */
267 static
269  SCIP_SEPADATA* sepadata, /**< separator data */
270  int idx, /**< index of the stored minor */
271  SCIP_VAR** x, /**< pointer to store x variable */
272  SCIP_VAR** y, /**< pointer to store x variable */
273  SCIP_VAR** auxvarxx, /**< pointer to store auxiliary variable for x*x */
274  SCIP_VAR** auxvaryy, /**< pointer to store auxiliary variable for y*y */
275  SCIP_VAR** auxvarxy /**< pointer to store auxiliary variable for x*y */
276  )
277 {
278  assert(sepadata != NULL);
279  assert(idx >= 0 && idx < sepadata->nminors);
280  assert(auxvarxx != NULL);
281  assert(auxvaryy != NULL);
282  assert(auxvarxy != NULL);
283 
284  *x = sepadata->minors[5 * idx];
285  *y = sepadata->minors[5 * idx + 1];
286  *auxvarxx = sepadata->minors[5 * idx + 2];
287  *auxvaryy = sepadata->minors[5 * idx + 3];
288  *auxvarxy = sepadata->minors[5 * idx + 4];
289 
290  return SCIP_OKAY;
291 }
292 
293 /** method to detect and store principal minors */
294 static
296  SCIP* scip, /**< SCIP data structure */
297  SCIP_SEPADATA* sepadata /**< separator data */
298  )
299 {
300  SCIP_CONSHDLR* conshdlr;
301  SCIP_EXPRITER* it;
302  SCIP_HASHMAP* quadmap;
303  SCIP_VAR** xs;
304  SCIP_VAR** ys;
305  SCIP_VAR** auxvars;
306  int* perm = NULL;
307  int nbilinterms = 0;
308  int nquadterms = 0;
309  int maxminors;
310  int c;
311  int i;
312 
313 #ifdef SCIP_STATISTIC
314  SCIP_Real totaltime = -SCIPgetTotalTime(scip);
315 #endif
316 
317  assert(sepadata != NULL);
318 
319  /* check whether minor detection has been called already */
320  if( sepadata->detectedminors )
321  return SCIP_OKAY;
322 
323  assert(sepadata->minors == NULL);
324  assert(sepadata->nminors == 0);
325 
326  /* we assume that the auxiliary variables in the nonlinear constraint handler have been already generated */
327  sepadata->detectedminors = TRUE;
328 
329  /* check whether there are nonlinear constraints available */
330  conshdlr = SCIPfindConshdlr(scip, "nonlinear");
331  if( conshdlr == NULL || SCIPconshdlrGetNConss(conshdlr) == 0 )
332  return SCIP_OKAY;
333 
334  SCIPdebugMsg(scip, "call detectMinors()\n");
335 
336  /* allocate memory */
337  SCIP_CALL( SCIPcreateExpriter(scip, &it) );
338  SCIP_CALL( SCIPhashmapCreate(&quadmap, SCIPblkmem(scip), SCIPgetNVars(scip)) );
339  SCIP_CALL( SCIPallocBufferArray(scip, &xs, SCIPgetNVars(scip)) );
340  SCIP_CALL( SCIPallocBufferArray(scip, &ys, SCIPgetNVars(scip)) );
341  SCIP_CALL( SCIPallocBufferArray(scip, &auxvars, SCIPgetNVars(scip)) );
342 
343  /* initialize iterator */
346 
347  for( c = 0; c < SCIPconshdlrGetNConss(conshdlr); ++c )
348  {
349  SCIP_CONS* cons;
350  SCIP_EXPR* expr;
351  SCIP_EXPR* root;
352 
353  cons = SCIPconshdlrGetConss(conshdlr)[c];
354  assert(cons != NULL);
355  root = SCIPgetExprNonlinear(cons);
356  assert(root != NULL);
357 
358  /* ignore circle packing constraints; the motivation for this is that in circle packing instance not only the SDP
359  * relaxation is weak (see "Packing circles in a square: a theoretical comparison of various convexification
360  * techniques", http://www.optimization-online.org/DB_HTML/2017/03/5911.html), but it also hurts performance
361  */
362  if( sepadata->ignorepackingconss && isPackingCons(scip, cons) )
363  {
364  SCIPdebugMsg(scip, "ignore packing constraints %s\n", SCIPconsGetName(cons));
365  continue;
366  }
367 
368  for( expr = SCIPexpriterRestartDFS(it, root); !SCIPexpriterIsEnd(it); expr = SCIPexpriterGetNext(it) ) /*lint !e441*/ /*lint !e440*/
369  {
370  SCIP_EXPR** children;
371  SCIP_VAR* auxvar;
372 
373  SCIPdebugMsg(scip, "visit expression %p in constraint %s\n", (void*)expr, SCIPconsGetName(cons));
374 
375  /* check whether the expression has an auxiliary variable */
376  auxvar = SCIPgetExprAuxVarNonlinear(expr);
377  if( auxvar == NULL )
378  {
379  SCIPdebugMsg(scip, "expression has no auxiliary variable -> skip\n");
380  continue;
381  }
382 
383  children = SCIPexprGetChildren(expr);
384 
385  /* check for expr = (x)^2 */
386  if( SCIPexprGetNChildren(expr) == 1 && SCIPisExprPower(scip, expr)
387  && SCIPgetExponentExprPow(expr) == 2.0
388  && SCIPgetExprAuxVarNonlinear(children[0]) != NULL )
389  {
390  SCIP_VAR* quadvar;
391 
392  assert(children[0] != NULL);
393 
394  quadvar = SCIPgetExprAuxVarNonlinear(children[0]);
395  assert(quadvar != NULL);
396  assert(!SCIPhashmapExists(quadmap, (void*)quadvar));
397  SCIPdebugMsg(scip, "found %s = (%s)^2\n", SCIPvarGetName(auxvar), SCIPvarGetName(quadvar));
398 
399  /* hash the quadratic variable to its corresponding auxiliary variable */
400  SCIP_CALL( SCIPhashmapInsert(quadmap, (void*)quadvar, auxvar) );
401  ++nquadterms;
402  }
403  /* check for expr = x * y */
404  else if( SCIPexprGetNChildren(expr) == 2 && SCIPisExprProduct(scip, expr)
405  && SCIPgetExprAuxVarNonlinear(children[0]) != NULL && SCIPgetExprAuxVarNonlinear(children[1]) != NULL )
406  {
407  SCIP_VAR* x;
408  SCIP_VAR* y;
409 
410  assert(children[0] != NULL);
411  assert(children[1] != NULL);
412 
413  x = SCIPgetExprAuxVarNonlinear(children[0]);
414  y = SCIPgetExprAuxVarNonlinear(children[1]);
415 
416  /* ignore binary variables */
417  if( !SCIPvarIsBinary(x) && !SCIPvarIsBinary(y) )
418  {
419  xs[nbilinterms] = SCIPgetExprAuxVarNonlinear(children[0]);
420  ys[nbilinterms] = SCIPgetExprAuxVarNonlinear(children[1]);
421  auxvars[nbilinterms] = auxvar;
422  SCIPdebugMsg(scip, "found %s = %s * %s\n", SCIPvarGetName(auxvar), SCIPvarGetName(xs[nbilinterms]), SCIPvarGetName(ys[nbilinterms]));
423  ++nbilinterms;
424  }
425  }
426  }
427  }
428  assert(nbilinterms < SCIPgetNVars(scip));
429  SCIPdebugMsg(scip, "stored %d bilinear terms in total\n", nbilinterms);
430 
431  /* use max(maxminorsconst, maxminorsfac * # quadratic terms) as a limit for the maximum number of minors */
432  maxminors = (int) MAX(sepadata->maxminorsconst, sepadata->maxminorsfac * nquadterms);
433  SCIPdebugMsg(scip, "maximum number of minors = %d\n", maxminors);
434 
435  /* permute bilinear terms if there are too many of them; the motivation for this is that we don't want to
436  * prioritize variables because of the order in the bilinear terms where they appear; however, variables that
437  * appear more often in bilinear terms might be more important than others so the corresponding bilinear terms
438  * are more likely to be chosen
439  */
440  if( maxminors < nbilinterms && maxminors < SQR(nquadterms) )
441  {
442  SCIP_CALL( SCIPallocBufferArray(scip, &perm, nbilinterms) );
443 
444  for( i = 0; i < nbilinterms; ++i )
445  perm[i] = i;
446 
447  /* permute array */
448  SCIPrandomPermuteIntArray(sepadata->randnumgen, perm, 0, nbilinterms);
449  }
450 
451  /* store 2x2 principal minors */
452  for( i = 0; i < nbilinterms && sepadata->nminors < maxminors; ++i )
453  {
454  SCIP_VAR* x;
455  SCIP_VAR* y;
456  SCIP_VAR* auxvarxy;
457 
458  if( perm == NULL )
459  {
460  x = xs[i];
461  y = ys[i];
462  auxvarxy = auxvars[i];
463  }
464  else
465  {
466  x = xs[perm[i]];
467  y = ys[perm[i]];
468  auxvarxy = auxvars[perm[i]];
469  }
470 
471  assert(x != NULL);
472  assert(y != NULL);
473  assert(auxvarxy != NULL);
474  assert(x != y);
475 
476  if( SCIPhashmapExists(quadmap, (void*)x) && SCIPhashmapExists(quadmap, (void*)y) )
477  {
478  SCIP_VAR* auxvarxx;
479  SCIP_VAR* auxvaryy;
480 
481  auxvarxx = (SCIP_VAR*)SCIPhashmapGetImage(quadmap, (void*)x);
482  assert(auxvarxx != NULL);
483  auxvaryy = (SCIP_VAR*)SCIPhashmapGetImage(quadmap, (void*)y);
484  assert(auxvaryy != NULL);
485 
486  /* store minor into the separation data */
487  SCIP_CALL( sepadataAddMinor(scip, sepadata, x, y, auxvarxx, auxvaryy, auxvarxy) );
488  }
489  }
490  SCIPdebugMsg(scip, "found %d principal minors in total\n", sepadata->nminors);
491 
492  /* free memory */
493  SCIPfreeBufferArrayNull(scip, &perm);
494  SCIPfreeBufferArray(scip, &auxvars);
495  SCIPfreeBufferArray(scip, &ys);
496  SCIPfreeBufferArray(scip, &xs);
497  SCIPhashmapFree(&quadmap);
498  SCIPfreeExpriter(&it);
499 
500 #ifdef SCIP_STATISTIC
501  totaltime += SCIPgetTotalTime(scip);
502  SCIPstatisticMessage("MINOR DETECT %s %f %d %d\n", SCIPgetProbName(scip), totaltime, sepadata->nminors, maxminors);
503 #endif
504 
505  return SCIP_OKAY;
506 }
507 
508 /** helper method to compute eigenvectors and eigenvalues */
509 static
511  SCIP* scip, /**< SCIP data structure */
512  SCIP_Real x, /**< solution value of x */
513  SCIP_Real y, /**< solution value of y */
514  SCIP_Real xx, /**< solution value of x*x */
515  SCIP_Real yy, /**< solution value of y*y */
516  SCIP_Real xy, /**< solution value of x*y */
517  SCIP_Real* eigenvals, /**< array to store eigenvalues (at least of size 3) */
518  SCIP_Real* eigenvecs, /**< array to store eigenvalues (at least of size 9) */
519  SCIP_Bool* success /**< pointer to store whether eigenvalue computation was successful */
520  )
521 {
522  assert(eigenvals != NULL);
523  assert(eigenvecs != NULL);
524  assert(success != NULL);
525 
526  *success = TRUE;
527 
528  /* construct matrix */
529  eigenvecs[0] = 1.0;
530  eigenvecs[1] = x;
531  eigenvecs[2] = y;
532  eigenvecs[3] = x;
533  eigenvecs[4] = xx;
534  eigenvecs[5] = xy;
535  eigenvecs[6] = y;
536  eigenvecs[7] = xy;
537  eigenvecs[8] = yy;
538 
539  /* use LAPACK to compute the eigenvalues and eigenvectors */
540  if( SCIPcallLapackDsyevIpopt(TRUE, 3, eigenvecs, eigenvals) != SCIP_OKAY )
541  {
542  SCIPdebugMsg(scip, "Failed to compute eigenvalues and eigenvectors of augmented quadratic form matrix.\n");
543  *success = FALSE;
544  }
545 
546  return SCIP_OKAY;
547 }
548 
549 /** generate and add a cut */
550 static
552  SCIP* scip, /**< SCIP data structure */
553  SCIP_SEPA* sepa, /**< separator */
554  SCIP_SOL* sol, /**< solution to separate (might be NULL) */
555  SCIP_VAR* x, /**< x variable */
556  SCIP_VAR* y, /**< y variable */
557  SCIP_VAR* xx, /**< auxiliary variable for x*x */
558  SCIP_VAR* yy, /**< auxiliary variable for y*y */
559  SCIP_VAR* xy, /**< auxiliary variable for x*y */
560  SCIP_Real* eigenvec, /**< array containing an eigenvector */
561  SCIP_Real eigenval, /**< eigenvalue */
562  SCIP_Real mincutviol, /**< minimal required violation */
563  SCIP_RESULT* result /**< pointer to update the result */
564  )
565 {
566  SCIP_VAR* vars[5] = {x, y, xx, yy, xy};
567  SCIP_Real coefs[5];
568  SCIP_Real constant;
569  SCIP_ROWPREP* rowprep;
570  SCIP_Bool success;
571 
572  assert(x != NULL);
573  assert(y != NULL);
574  assert(xx != NULL);
575  assert(yy != NULL);
576  assert(xy != NULL);
577  assert(eigenvec != NULL);
578  assert(mincutviol >= 0.0);
579  assert(result != NULL);
580 
581  /* check whether the resulting cut is violated enough */
582  if( !SCIPisFeasLT(scip, eigenval, -mincutviol) )
583  return SCIP_OKAY;
584 
585  /* the resulting cut reads as
586  * (1 x y ) (v0)
587  * (v0 v1 v2) (x xx xy) (v1) >= 0
588  * (y xy yy) (v2)
589  * where v is the eigenvector corresponding to a negative eigenvalue
590  * that is,
591  * v0^2 + 2 v0 v1 * x + 2 v0 v2 * y + v1^2 * xx + v2^2 * yy + 2 v1 v2 * xy >= 0
592  */
593  constant = SQR(eigenvec[0]);
594  coefs[0] = 2.0 * eigenvec[0] * eigenvec[1];
595  coefs[1] = 2.0 * eigenvec[0] * eigenvec[2];
596  coefs[2] = SQR(eigenvec[1]);
597  coefs[3] = SQR(eigenvec[2]);
598  coefs[4] = 2.0 * eigenvec[1] * eigenvec[2];
599 
600  /* create rowprep */
602  SCIP_CALL( SCIPaddRowprepTerms(scip, rowprep, 5, vars, coefs) );
603  SCIProwprepAddConstant(rowprep, constant);
604  SCIPdebug( SCIPprintRowprep(scip, rowprep, NULL) );
605  SCIPdebugMsg(scip, "cut violation %g mincutviol = %g\n", SCIPgetRowprepViolation(scip, rowprep, sol, NULL), mincutviol);
606 
607  /* cleanup coefficient and side, esp treat epsilon to integral values; don't consider scaling up here */
608  SCIP_CALL( SCIPcleanupRowprep(scip, rowprep, NULL, 0.0, NULL, &success) );
609 
610  /* check cut violation */
611  if( success && SCIPgetRowprepViolation(scip, rowprep, sol, NULL) > mincutviol )
612  {
613  SCIP_ROW* row;
614  SCIP_Bool infeasible;
615 
616  /* set name of rowprep */
617  (void) SCIPsnprintf(SCIProwprepGetName(rowprep), SCIP_MAXSTRLEN, "minor_%s_%s_%s_%lld", SCIPvarGetName(xx), SCIPvarGetName(yy),
618  SCIPvarGetName(xy), SCIPgetNLPs(scip));
619 
620  /* create, add, and release row */
621  SCIP_CALL( SCIPgetRowprepRowSepa(scip, &row, rowprep, sepa) );
622  SCIP_CALL( SCIPaddRow(scip, row, FALSE, &infeasible) );
623  SCIP_CALL( SCIPreleaseRow(scip, &row) );
624 
625  /* update result pointer */
626  *result = infeasible ? SCIP_CUTOFF : SCIP_SEPARATED;
627  }
628 
629  /* free rowprep */
630  SCIPfreeRowprep(scip, &rowprep);
631 
632  return SCIP_OKAY;
633 }
634 
635 /** separates cuts for stored principal minors */
636 static
638  SCIP* scip, /**< SCIP data structure */
639  SCIP_SEPA* sepa, /**< separator */
640  SCIP_SOL* sol, /**< primal solution that should be separated, or NULL for LP solution */
641  SCIP_RESULT* result /**< pointer to store the result of the separation call */
642  )
643 {
644  SCIP_SEPADATA* sepadata;
645  int i;
646 
647  assert(sepa != NULL);
648  assert(result != NULL);
649 
650  *result = SCIP_DIDNOTRUN;
651 
652  sepadata = SCIPsepaGetData(sepa);
653  assert(sepadata != NULL);
654 
655  /* check whether there are some minors available */
656  if( sepadata->nminors == 0 )
657  return SCIP_OKAY;
658 
659  *result = SCIP_DIDNOTFIND;
660 
661  for( i = 0; i < sepadata->nminors && (*result != SCIP_CUTOFF); ++i )
662  {
663  SCIP_Real eigenvals[3];
664  SCIP_Real eigenvecs[9];
665  SCIP_VAR* x;
666  SCIP_VAR* y;
667  SCIP_VAR* xx;
668  SCIP_VAR* yy;
669  SCIP_VAR* xy;
670  SCIP_Real solx;
671  SCIP_Real soly;
672  SCIP_Real solxx;
673  SCIP_Real solyy;
674  SCIP_Real solxy;
675  SCIP_Bool success;
676  int k;
677 
678  /* get variables of the i-th minor */
679  SCIP_CALL( getMinorVars(sepadata, i, &x, &y, &xx, &yy, &xy) );
680  assert(x != NULL);
681  assert(y != NULL);
682  assert(xx != NULL);
683  assert(yy != NULL);
684  assert(xy != NULL);
685 
686  /* get current solution values */
687  solx = SCIPgetSolVal(scip, sol, x);
688  soly = SCIPgetSolVal(scip, sol, y);
689  solxx = SCIPgetSolVal(scip, sol, xx);
690  solyy = SCIPgetSolVal(scip, sol, yy);
691  solxy = SCIPgetSolVal(scip, sol, xy);
692  SCIPdebugMsg(scip, "solution values (x,y,xx,yy,xy)=(%g,%g,%g,%g,%g)\n", solx, soly, solxx, solyy, solxy);
693 
694  /* compute eigenvalues and eigenvectors */
695  SCIP_CALL( getEigenValues(scip, solx, soly, solxx, solyy, solxy, eigenvals, eigenvecs, &success) );
696  if( !success )
697  continue;
698 
699  /* try to generate a cut for each negative eigenvalue */
700  for( k = 0; k < 3 && (*result != SCIP_CUTOFF); ++k )
701  {
702  SCIPdebugMsg(scip, "eigenvalue = %g eigenvector = (%g,%g,%g)\n", eigenvals[k], eigenvecs[3*k], eigenvecs[3*k + 1], eigenvecs[3*k + 2]);
703  SCIP_CALL( addCut(scip, sepa, sol, x, y, xx, yy, xy, &eigenvecs[3*k], eigenvals[k], sepadata->mincutviol, result) );
704  SCIPdebugMsg(scip, "result: %d\n", *result);
705  }
706  }
707 
708  return SCIP_OKAY;
709 }
710 
711 /*
712  * Callback methods of separator
713  */
714 
715 /** copy method for separator plugins (called when SCIP copies plugins) */
716 static
717 SCIP_DECL_SEPACOPY(sepaCopyMinor)
718 { /*lint --e{715}*/
719  assert(scip != NULL);
720  assert(sepa != NULL);
721  assert(strcmp(SCIPsepaGetName(sepa), SEPA_NAME) == 0);
722 
723  /* call inclusion method of constraint handler */
725 
726  return SCIP_OKAY;
727 }
728 
729 
730 /** destructor of separator to free user data (called when SCIP is exiting) */
731 static
732 SCIP_DECL_SEPAFREE(sepaFreeMinor)
733 { /*lint --e{715}*/
734  SCIP_SEPADATA* sepadata;
735 
736  sepadata = SCIPsepaGetData(sepa);
737  assert(sepadata != NULL);
738  assert(sepadata->minors == NULL);
739  assert(sepadata->nminors == 0);
740  assert(sepadata->minorssize == 0);
741 
742  /* free separator data */
743  SCIPfreeBlockMemory(scip, &sepadata);
744  SCIPsepaSetData(sepa, NULL);
745 
746  return SCIP_OKAY;
747 }
748 
749 
750 /** initialization method of separator (called after problem was transformed) */
751 static
752 SCIP_DECL_SEPAINIT(sepaInitMinor)
753 { /*lint --e{715}*/
754  SCIP_SEPADATA* sepadata;
755 
756  /* get separator data */
757  sepadata = SCIPsepaGetData(sepa);
758  assert(sepadata != NULL);
759  assert(sepadata->randnumgen == NULL);
760 
761  /* create random number generator */
762  SCIP_CALL( SCIPcreateRandom(scip, &sepadata->randnumgen, DEFAULT_RANDSEED, TRUE) );
763 
764  return SCIP_OKAY;
765 }
766 
767 
768 /** deinitialization method of separator (called before transformed problem is freed) */
769 static
770 SCIP_DECL_SEPAEXIT(sepaExitMinor)
771 { /*lint --e{715}*/
772  SCIP_SEPADATA* sepadata;
773 
774  /* get separator data */
775  sepadata = SCIPsepaGetData(sepa);
776  assert(sepadata != NULL);
777  assert(sepadata->randnumgen != NULL);
778 
779  /* free random number generator */
780  SCIPfreeRandom(scip, &sepadata->randnumgen);
781 
782  return SCIP_OKAY;
783 }
784 
785 
786 /** solving process initialization method of separator (called when branch and bound process is about to begin) */
787 static
788 SCIP_DECL_SEPAINITSOL(sepaInitsolMinor)
789 { /*lint --e{715}*/
790  return SCIP_OKAY;
791 }
792 
793 
794 /** solving process deinitialization method of separator (called before branch and bound process data is freed) */
795 static
796 SCIP_DECL_SEPAEXITSOL(sepaExitsolMinor)
797 { /*lint --e{715}*/
798  SCIP_SEPADATA* sepadata;
799 
800  sepadata = SCIPsepaGetData(sepa);
801  assert(sepadata != NULL);
802 
803  /* clear separation data */
804  SCIP_CALL( sepadataClear(scip, sepadata) );
805 
806  return SCIP_OKAY;
807 }
808 
809 
810 /** LP solution separation method of separator */
811 static
812 SCIP_DECL_SEPAEXECLP(sepaExeclpMinor)
813 { /*lint --e{715}*/
814  SCIP_SEPADATA* sepadata;
815  int ncalls;
816 
817  /* need routine to compute eigenvalues/eigenvectors */
819  return SCIP_OKAY;
820 
821  sepadata = SCIPsepaGetData(sepa);
822  assert(sepadata != NULL);
823  ncalls = SCIPsepaGetNCallsAtNode(sepa);
824 
825  /* only call the separator a given number of times at each node */
826  if( (depth == 0 && sepadata->maxroundsroot >= 0 && ncalls >= sepadata->maxroundsroot)
827  || (depth > 0 && sepadata->maxrounds >= 0 && ncalls >= sepadata->maxrounds) )
828  {
829  SCIPdebugMsg(scip, "reached round limit for node\n");
830  return SCIP_OKAY;
831  }
832 
833  /* try to detect minors */
834  SCIP_CALL( detectMinors(scip, sepadata) );
835 
836  /* call separation method */
837  SCIP_CALL( separatePoint(scip, sepa, NULL, result) );
838 
839  return SCIP_OKAY;
840 }
841 
842 
843 /** arbitrary primal solution separation method of separator */
844 static
845 SCIP_DECL_SEPAEXECSOL(sepaExecsolMinor)
846 { /*lint --e{715}*/
847  SCIP_SEPADATA* sepadata;
848  int ncalls;
849 
850  /* need routine to compute eigenvalues/eigenvectors */
852  return SCIP_OKAY;
853 
854  sepadata = SCIPsepaGetData(sepa);
855  assert(sepadata != NULL);
856  ncalls = SCIPsepaGetNCallsAtNode(sepa);
857 
858  /* only call the separator a given number of times at each node */
859  if( (depth == 0 && sepadata->maxroundsroot >= 0 && ncalls >= sepadata->maxroundsroot)
860  || (depth > 0 && sepadata->maxrounds >= 0 && ncalls >= sepadata->maxrounds) )
861  {
862  SCIPdebugMsg(scip, "reached round limit for node\n");
863  return SCIP_OKAY;
864  }
865 
866  /* try to detect minors */
868 
869  /* call separation method */
870  SCIP_CALL( separatePoint(scip, sepa, sol, result) );
871 
872  return SCIP_OKAY;
873 }
874 
875 /*
876  * separator specific interface methods
877  */
878 
879 /** creates the minor separator and includes it in SCIP */
881  SCIP* scip /**< SCIP data structure */
882  )
883 {
884  SCIP_SEPADATA* sepadata = NULL;
885  SCIP_SEPA* sepa = NULL;
886 
887  /* create minor separator data */
888  SCIP_CALL( SCIPallocBlockMemory(scip, &sepadata) );
889  BMSclearMemory(sepadata);
890 
891  /* include separator */
894  sepaExeclpMinor, sepaExecsolMinor,
895  sepadata) );
896 
897  assert(sepa != NULL);
898 
899  /* set non fundamental callbacks via setter functions */
900  SCIP_CALL( SCIPsetSepaCopy(scip, sepa, sepaCopyMinor) );
901  SCIP_CALL( SCIPsetSepaFree(scip, sepa, sepaFreeMinor) );
902  SCIP_CALL( SCIPsetSepaInit(scip, sepa, sepaInitMinor) );
903  SCIP_CALL( SCIPsetSepaExit(scip, sepa, sepaExitMinor) );
904  SCIP_CALL( SCIPsetSepaInitsol(scip, sepa, sepaInitsolMinor) );
905  SCIP_CALL( SCIPsetSepaExitsol(scip, sepa, sepaExitsolMinor) );
906 
907  /* add minor separator parameters */
909  "separating/" SEPA_NAME "/maxminorsconst",
910  "constant for the maximum number of minors, i.e., max(const, fac * # quadratic terms)",
911  &sepadata->maxminorsconst, FALSE, DEFAULT_MAXMINORSCONST, 0, INT_MAX, NULL, NULL) );
912 
914  "separating/" SEPA_NAME "/maxminorsfac",
915  "factor for the maximum number of minors, i.e., max(const, fac * # quadratic terms)",
916  &sepadata->maxminorsfac, FALSE, DEFAULT_MAXMINORSFAC, 0.0, SCIP_REAL_MAX, NULL, NULL) );
917 
919  "separating/" SEPA_NAME "/mincutviol",
920  "minimum required violation of a cut",
921  &sepadata->mincutviol, FALSE, DEFAULT_MINCUTVIOL, 0.0, SCIP_REAL_MAX, NULL, NULL) );
922 
924  "separating/" SEPA_NAME "/maxrounds",
925  "maximal number of separation rounds per node (-1: unlimited)",
926  &sepadata->maxrounds, FALSE, DEFAULT_MAXROUNDS, -1, INT_MAX, NULL, NULL) );
927 
929  "separating/" SEPA_NAME "/maxroundsroot",
930  "maximal number of separation rounds in the root node (-1: unlimited)",
931  &sepadata->maxroundsroot, FALSE, DEFAULT_MAXROUNDSROOT, -1, INT_MAX, NULL, NULL) );
932 
934  "separating/" SEPA_NAME "/ignorepackingconss",
935  "whether to ignore circle packing constraints during minor detection",
936  &sepadata->ignorepackingconss, FALSE, DEFAULT_IGNOREPACKINGCONSS, NULL, NULL) );
937 
938  return SCIP_OKAY;
939 }
enum SCIP_Result SCIP_RESULT
Definition: type_result.h:61
void SCIPfreeRandom(SCIP *scip, SCIP_RANDNUMGEN **randnumgen)
#define DEFAULT_MINCUTVIOL
Definition: sepa_minor.c:52
SCIP_Bool SCIPisIpoptAvailableIpopt(void)
#define SCIPreallocBlockMemoryArray(scip, ptr, oldnum, newnum)
Definition: scip_mem.h:99
SCIP_RETCODE SCIPexpriterInit(SCIP_EXPRITER *iterator, SCIP_EXPR *expr, SCIP_EXPRITER_TYPE type, SCIP_Bool allowrevisit)
Definition: expriter.c:500
#define SEPA_MAXBOUNDDIST
Definition: sepa_minor.c:46
static SCIP_DECL_SEPAINITSOL(sepaInitsolMinor)
Definition: sepa_minor.c:788
SCIP_Bool SCIPisFeasLT(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
#define SEPA_USESSUBSCIP
Definition: sepa_minor.c:47
SCIP_CONSHDLR * SCIPfindConshdlr(SCIP *scip, const char *name)
Definition: scip_cons.c:886
int SCIPexprGetNChildren(SCIP_EXPR *expr)
Definition: expr.c:3808
static SCIP_DECL_SEPAEXECSOL(sepaExecsolMinor)
Definition: sepa_minor.c:845
#define SCIP_MAXSTRLEN
Definition: def.h:302
static SCIP_RETCODE separatePoint(SCIP *scip, SCIP_SEPA *sepa, SCIP_SOL *sol, SCIP_RESULT *result)
Definition: sepa_minor.c:637
static SCIP_RETCODE detectMinors(SCIP *scip, SCIP_SEPADATA *sepadata)
Definition: sepa_minor.c:295
int SCIPcalcMemGrowSize(SCIP *scip, int num)
Definition: scip_mem.c:139
#define SEPA_FREQ
Definition: sepa_minor.c:45
static SCIP_DECL_SEPAEXITSOL(sepaExitsolMinor)
Definition: sepa_minor.c:796
void SCIPprintRowprep(SCIP *scip, SCIP_ROWPREP *rowprep, FILE *file)
Definition: misc_rowprep.c:778
SCIP_RETCODE SCIPreleaseVar(SCIP *scip, SCIP_VAR **var)
Definition: scip_var.c:1254
SCIP_Bool SCIPvarIsBinary(SCIP_VAR *var)
Definition: var.c:17440
SCIP_CONS ** SCIPconshdlrGetConss(SCIP_CONSHDLR *conshdlr)
Definition: cons.c:4556
SCIP_RETCODE SCIPcallLapackDsyevIpopt(SCIP_Bool computeeigenvectors, int N, SCIP_Real *a, SCIP_Real *w)
#define FALSE
Definition: def.h:96
SCIP_RETCODE SCIPhashmapCreate(SCIP_HASHMAP **hashmap, BMS_BLKMEM *blkmem, int mapsize)
Definition: misc.c:3023
SCIP_RETCODE SCIPgetRowprepRowSepa(SCIP *scip, SCIP_ROW **row, SCIP_ROWPREP *rowprep, SCIP_SEPA *sepa)
char * SCIProwprepGetName(SCIP_ROWPREP *rowprep)
Definition: misc_rowprep.c:673
int SCIPsnprintf(char *t, int len, const char *s,...)
Definition: misc.c:10764
SCIP_Real SCIPgetExponentExprPow(SCIP_EXPR *expr)
Definition: expr_pow.c:3352
#define TRUE
Definition: def.h:95
#define DEFAULT_MAXMINORSFAC
Definition: sepa_minor.c:51
#define SCIPdebug(x)
Definition: pub_message.h:93
const char * SCIPsepaGetName(SCIP_SEPA *sepa)
Definition: sepa.c:743
enum SCIP_Retcode SCIP_RETCODE
Definition: type_retcode.h:63
#define SCIPstatisticMessage
Definition: pub_message.h:123
#define SCIPfreeBlockMemory(scip, ptr)
Definition: scip_mem.h:108
static SCIP_DECL_SEPACOPY(sepaCopyMinor)
Definition: sepa_minor.c:717
void * SCIPhashmapGetImage(SCIP_HASHMAP *hashmap, void *origin)
Definition: misc.c:3210
#define SCIPfreeBufferArray(scip, ptr)
Definition: scip_mem.h:136
#define SCIPallocBlockMemory(scip, ptr)
Definition: scip_mem.h:89
SCIP_RETCODE SCIPsetSepaCopy(SCIP *scip, SCIP_SEPA *sepa, SCIP_DECL_SEPACOPY((*sepacopy)))
Definition: scip_sepa.c:151
#define SCIP_EXPRITER_ENTEREXPR
Definition: type_expr.h:676
#define SCIPdebugMsg
Definition: scip_message.h:78
SCIP_RETCODE SCIPaddIntParam(SCIP *scip, const char *name, const char *desc, int *valueptr, SCIP_Bool isadvanced, int defaultvalue, int minvalue, int maxvalue, SCIP_DECL_PARAMCHGD((*paramchgd)), SCIP_PARAMDATA *paramdata)
Definition: scip_param.c:83
SCIP_VAR ** x
Definition: circlepacking.c:63
SCIP_Bool SCIPisExprProduct(SCIP *scip, SCIP_EXPR *expr)
Definition: scip_expr.c:1463
SCIP_SEPADATA * SCIPsepaGetData(SCIP_SEPA *sepa)
Definition: sepa.c:633
const char * SCIPgetProbName(SCIP *scip)
Definition: scip_prob.c:1075
SCIP_Bool SCIPhashmapExists(SCIP_HASHMAP *hashmap, void *origin)
Definition: misc.c:3372
SCIP_RETCODE SCIPincludeSepaMinor(SCIP *scip)
Definition: sepa_minor.c:880
SCIP_EXPR ** SCIPexprGetChildren(SCIP_EXPR *expr)
Definition: expr.c:3818
#define DEFAULT_MAXMINORSCONST
Definition: sepa_minor.c:50
principal minor separator
SCIP_RETCODE SCIPsetSepaExit(SCIP *scip, SCIP_SEPA *sepa, SCIP_DECL_SEPAEXIT((*sepaexit)))
Definition: scip_sepa.c:199
SCIP_VAR * SCIPgetVarExprVar(SCIP_EXPR *expr)
Definition: expr_var.c:416
static SCIP_DECL_SEPAEXECLP(sepaExeclpMinor)
Definition: sepa_minor.c:812
#define SCIPfreeBufferArrayNull(scip, ptr)
Definition: scip_mem.h:137
int SCIPsepaGetNCallsAtNode(SCIP_SEPA *sepa)
Definition: sepa.c:880
BMS_BLKMEM * SCIPblkmem(SCIP *scip)
Definition: scip_mem.c:57
const char * SCIPconsGetName(SCIP_CONS *cons)
Definition: cons.c:8094
const char * SCIPvarGetName(SCIP_VAR *var)
Definition: var.c:17260
void SCIPhashmapFree(SCIP_HASHMAP **hashmap)
Definition: misc.c:3057
void SCIPsepaSetData(SCIP_SEPA *sepa, SCIP_SEPADATA *sepadata)
Definition: sepa.c:643
SCIP_EXPR * SCIPgetExprNonlinear(SCIP_CONS *cons)
static SCIP_DECL_SEPAEXIT(sepaExitMinor)
Definition: sepa_minor.c:770
#define NULL
Definition: lpi_spx1.cpp:164
SCIP_RETCODE SCIPsetSepaInitsol(SCIP *scip, SCIP_SEPA *sepa, SCIP_DECL_SEPAINITSOL((*sepainitsol)))
Definition: scip_sepa.c:215
SCIP_Bool SCIPisExprSum(SCIP *scip, SCIP_EXPR *expr)
Definition: scip_expr.c:1452
void SCIPfreeRowprep(SCIP *scip, SCIP_ROWPREP **rowprep)
Definition: misc_rowprep.c:567
static SCIP_RETCODE addCut(SCIP *scip, SCIP_SEPA *sepa, SCIP_SOL *sol, SCIP_VAR *x, SCIP_VAR *y, SCIP_VAR *xx, SCIP_VAR *yy, SCIP_VAR *xy, SCIP_Real *eigenvec, SCIP_Real eigenval, SCIP_Real mincutviol, SCIP_RESULT *result)
Definition: sepa_minor.c:551
#define SCIP_CALL(x)
Definition: def.h:393
static SCIP_RETCODE sepadataAddMinor(SCIP *scip, SCIP_SEPADATA *sepadata, SCIP_VAR *x, SCIP_VAR *y, SCIP_VAR *auxvarxx, SCIP_VAR *auxvaryy, SCIP_VAR *auxvarxy)
Definition: sepa_minor.c:84
SCIP_Real SCIPgetRowprepViolation(SCIP *scip, SCIP_ROWPREP *rowprep, SCIP_SOL *sol, SCIP_Bool *reliable)
Definition: misc_rowprep.c:949
SCIP_RETCODE SCIPaddRow(SCIP *scip, SCIP_ROW *row, SCIP_Bool forcecut, SCIP_Bool *infeasible)
Definition: scip_cut.c:250
int SCIPconshdlrGetNConss(SCIP_CONSHDLR *conshdlr)
Definition: cons.c:4599
SCIP_RETCODE SCIPcreateExpriter(SCIP *scip, SCIP_EXPRITER **iterator)
Definition: scip_expr.c:2311
static SCIP_Bool isPackingCons(SCIP *scip, SCIP_CONS *cons)
Definition: sepa_minor.c:168
SCIP_RETCODE SCIPincludeSepaBasic(SCIP *scip, SCIP_SEPA **sepa, const char *name, const char *desc, int priority, int freq, SCIP_Real maxbounddist, SCIP_Bool usessubscip, SCIP_Bool delay, SCIP_DECL_SEPAEXECLP((*sepaexeclp)), SCIP_DECL_SEPAEXECSOL((*sepaexecsol)), SCIP_SEPADATA *sepadata)
Definition: scip_sepa.c:109
SCIP_RETCODE SCIPcreateRandom(SCIP *scip, SCIP_RANDNUMGEN **randnumgen, unsigned int initialseed, SCIP_Bool useglobalseed)
Ipopt NLP interface.
#define SCIPallocBufferArray(scip, ptr, num)
Definition: scip_mem.h:124
SCIP_RETCODE SCIPsetSepaExitsol(SCIP *scip, SCIP_SEPA *sepa, SCIP_DECL_SEPAEXITSOL((*sepaexitsol)))
Definition: scip_sepa.c:231
#define SCIP_Bool
Definition: def.h:93
SCIP_EXPR * SCIPexpriterRestartDFS(SCIP_EXPRITER *iterator, SCIP_EXPR *expr)
Definition: expriter.c:629
void SCIProwprepAddConstant(SCIP_ROWPREP *rowprep, SCIP_Real constant)
Definition: misc_rowprep.c:737
constraint handler for nonlinear constraints specified by algebraic expressions
#define DEFAULT_MAXROUNDSROOT
Definition: sepa_minor.c:55
void SCIPrandomPermuteIntArray(SCIP_RANDNUMGEN *randnumgen, int *array, int begin, int end)
Definition: misc.c:10053
#define MAX(x, y)
Definition: tclique_def.h:92
SCIP_EXPR * SCIPexpriterGetNext(SCIP_EXPRITER *iterator)
Definition: expriter.c:857
#define SEPA_PRIORITY
Definition: sepa_minor.c:44
static SCIP_DECL_SEPAFREE(sepaFreeMinor)
Definition: sepa_minor.c:732
SCIP_Bool SCIPisExprPower(SCIP *scip, SCIP_EXPR *expr)
Definition: scip_expr.c:1474
#define BMSclearMemory(ptr)
Definition: memory.h:131
#define SEPA_DESC
Definition: sepa_minor.c:43
int SCIPgetNVars(SCIP *scip)
Definition: scip_prob.c:2000
#define SCIP_REAL_MAX
Definition: def.h:187
void SCIPexpriterSetStagesDFS(SCIP_EXPRITER *iterator, SCIP_EXPRITER_STAGE stopstages)
Definition: expriter.c:663
void SCIPfreeExpriter(SCIP_EXPRITER **iterator)
Definition: scip_expr.c:2325
SCIP_RETCODE SCIPreleaseRow(SCIP *scip, SCIP_ROW **row)
Definition: scip_lp.c:1562
SCIP_RETCODE SCIPsetSepaFree(SCIP *scip, SCIP_SEPA *sepa, SCIP_DECL_SEPAFREE((*sepafree)))
Definition: scip_sepa.c:167
SCIP_RETCODE SCIPsetSepaInit(SCIP *scip, SCIP_SEPA *sepa, SCIP_DECL_SEPAINIT((*sepainit)))
Definition: scip_sepa.c:183
static SCIP_RETCODE getEigenValues(SCIP *scip, SCIP_Real x, SCIP_Real y, SCIP_Real xx, SCIP_Real yy, SCIP_Real xy, SCIP_Real *eigenvals, SCIP_Real *eigenvecs, SCIP_Bool *success)
Definition: sepa_minor.c:510
SCIP_Bool SCIPisExprVar(SCIP *scip, SCIP_EXPR *expr)
Definition: scip_expr.c:1430
SCIP_RETCODE SCIPcaptureVar(SCIP *scip, SCIP_VAR *var)
Definition: scip_var.c:1220
#define SCIP_Real
Definition: def.h:186
SCIP_VAR ** y
Definition: circlepacking.c:64
static SCIP_DECL_SEPAINIT(sepaInitMinor)
Definition: sepa_minor.c:752
#define SEPA_NAME
Definition: sepa_minor.c:42
#define SEPA_DELAY
Definition: sepa_minor.c:48
SCIP_Real SCIPgetTotalTime(SCIP *scip)
Definition: scip_timing.c:351
SCIP_RETCODE SCIPcreateRowprep(SCIP *scip, SCIP_ROWPREP **rowprep, SCIP_SIDETYPE sidetype, SCIP_Bool local)
Definition: misc_rowprep.c:547
static SCIP_RETCODE sepadataClear(SCIP *scip, SCIP_SEPADATA *sepadata)
Definition: sepa_minor.c:138
#define SCIPfreeBlockMemoryArrayNull(scip, ptr, num)
Definition: scip_mem.h:111
SCIP_RETCODE SCIPcleanupRowprep(SCIP *scip, SCIP_ROWPREP *rowprep, SCIP_SOL *sol, SCIP_Real minviol, SCIP_Real *viol, SCIP_Bool *success)
static SCIP_RETCODE getMinorVars(SCIP_SEPADATA *sepadata, int idx, SCIP_VAR **x, SCIP_VAR **y, SCIP_VAR **auxvarxx, SCIP_VAR **auxvaryy, SCIP_VAR **auxvarxy)
Definition: sepa_minor.c:268
SCIP_RETCODE SCIPhashmapInsert(SCIP_HASHMAP *hashmap, void *origin, void *image)
Definition: misc.c:3105
SCIP_VAR * SCIPgetExprAuxVarNonlinear(SCIP_EXPR *expr)
SCIP_Bool SCIPexpriterIsEnd(SCIP_EXPRITER *iterator)
Definition: expriter.c:968
SCIP_RETCODE SCIPaddRowprepTerms(SCIP *scip, SCIP_ROWPREP *rowprep, int nvars, SCIP_VAR **vars, SCIP_Real *coefs)
Definition: misc_rowprep.c:915
SCIP_Longint SCIPgetNLPs(SCIP *scip)
SCIP_Real SCIPgetSolVal(SCIP *scip, SCIP_SOL *sol, SCIP_VAR *var)
Definition: scip_sol.c:1361
#define DEFAULT_MAXROUNDS
Definition: sepa_minor.c:54
SCIP_RETCODE SCIPaddRealParam(SCIP *scip, const char *name, const char *desc, SCIP_Real *valueptr, SCIP_Bool isadvanced, SCIP_Real defaultvalue, SCIP_Real minvalue, SCIP_Real maxvalue, SCIP_DECL_PARAMCHGD((*paramchgd)), SCIP_PARAMDATA *paramdata)
Definition: scip_param.c:139
#define DEFAULT_IGNOREPACKINGCONSS
Definition: sepa_minor.c:56
struct SCIP_SepaData SCIP_SEPADATA
Definition: type_sepa.h:52
SCIP_RETCODE SCIPaddBoolParam(SCIP *scip, const char *name, const char *desc, SCIP_Bool *valueptr, SCIP_Bool isadvanced, SCIP_Bool defaultvalue, SCIP_DECL_PARAMCHGD((*paramchgd)), SCIP_PARAMDATA *paramdata)
Definition: scip_param.c:57
#define DEFAULT_RANDSEED
Definition: sepa_minor.c:53