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Macros | Functions
intvec.cc File Reference
#include "misc/auxiliary.h"
#include "misc/intvec.h"
#include "misc/options.h"
#include "omalloc/omalloc.h"

Go to the source code of this file.

Macros

#define INTVEC_CC
 

Functions

intvecivAdd (intvec *a, intvec *b)
 
intvecivAddShift (intvec *a, intvec *b, int s)
 
intvecivSub (intvec *a, intvec *b)
 
intvecivTranp (intvec *o)
 
int ivTrace (intvec *o)
 
intvecivMult (intvec *a, intvec *b)
 
static int ivColPivot (intvec *, int, int, int, int)
 
static void ivNegRow (intvec *, int)
 
static void ivSaveRow (intvec *, int)
 
static void ivSetRow (intvec *, int, int)
 
static void ivFreeRow (intvec *, int, int)
 
static void ivReduce (intvec *, int, int, int, int)
 
static void ivZeroElim (intvec *, int, int, int &)
 
static void ivRowContent (intvec *, int, int)
 
static void ivKernFromRow (intvec *, intvec *, intvec *, int, int, int)
 
static intvecivOptimizeKern (intvec *)
 
static int ivGcd (int, int)
 
static void ivOptRecursive (intvec *, intvec *, intvec *, int &, int &, int)
 
static void ivOptSolve (intvec *, intvec *, int &, int &)
 
static void ivContent (intvec *)
 
static int ivL1Norm (intvec *)
 
static int ivCondNumber (intvec *, int)
 
void ivTriangIntern (intvec *imat, int &ready, int &all)
 
intvecivSolveKern (intvec *imat, int dimtr)
 
intvecivConcat (intvec *a, intvec *b)
 

Macro Definition Documentation

◆ INTVEC_CC

#define INTVEC_CC

Definition at line 8 of file intvec.cc.

Function Documentation

◆ ivAdd()

intvec * ivAdd ( intvec a,
intvec b 
)

Definition at line 249 of file intvec.cc.

250{
251 intvec * iv;
252 int mn, ma, i;
253 if (a->cols() != b->cols()) return NULL;
254 mn = si_min(a->rows(),b->rows());
255 ma = si_max(a->rows(),b->rows());
256 if (a->cols() == 1)
257 {
258 iv = new intvec(ma);
259 for (i=0; i<mn; i++) (*iv)[i] = (*a)[i] + (*b)[i];
260 if (ma > mn)
261 {
262 if (ma == a->rows())
263 {
264 for(i=mn; i<ma; i++) (*iv)[i] = (*a)[i];
265 }
266 else
267 {
268 for(i=mn; i<ma; i++) (*iv)[i] = (*b)[i];
269 }
270 }
271 return iv;
272 }
273 if (mn != ma) return NULL;
274 iv = new intvec(a);
275 for (i=0; i<mn*a->cols(); i++) { (*iv)[i] += (*b)[i]; }
276 return iv;
277}
static int si_max(const int a, const int b)
Definition: auxiliary.h:124
static int si_min(const int a, const int b)
Definition: auxiliary.h:125
int i
Definition: cfEzgcd.cc:132
CanonicalForm b
Definition: cfModGcd.cc:4103
Definition: intvec.h:23
int cols() const
Definition: intvec.h:95
int rows() const
Definition: intvec.h:96
#define NULL
Definition: omList.c:12

◆ ivAddShift()

intvec * ivAddShift ( intvec a,
intvec b,
int  s 
)

Definition at line 279 of file intvec.cc.

280{
281 if (a->cols() != b->cols()) return NULL;
282 if (a->cols() == 1)
283 {
284 int i;
285 intvec * iv;
286 int ma = si_max(a->rows(),b->rows()+s);
287 iv=new intvec(ma);
288 for (i=a->rows()-1;i>=0;i--)
289 (*iv)[i] = (*a)[i];
290 for(i=b->rows()+s-1;i>=s;i--)
291 (*iv)[i] += (*b)[i-s];
292 return iv;
293 }
294 return NULL;
295}
const CanonicalForm int s
Definition: facAbsFact.cc:51

◆ ivColPivot()

static int ivColPivot ( intvec imat,
int  colpos,
int  rowpos,
int  ready,
int  all 
)
static

Definition at line 484 of file intvec.cc.

485{
486 int rpiv;
487
488 if (IMATELEM(*imat,rowpos,colpos)!=0)
489 return rowpos;
490 for (rpiv=ready+1;rpiv<=all;rpiv++)
491 {
492 if (IMATELEM(*imat,rpiv,colpos)!=0)
493 return rpiv;
494 }
495 return 0;
496}
#define IMATELEM(M, I, J)
Definition: intvec.h:85

◆ ivConcat()

intvec * ivConcat ( intvec a,
intvec b 
)

Definition at line 822 of file intvec.cc.

823{
824 int ac=a->cols();
825 int c = ac + b->cols(); int r = si_max(a->rows(),b->rows());
826 intvec * ab = new intvec(r,c,0);
827
828 int i,j;
829 for (i=1; i<=a->rows(); i++)
830 {
831 for(j=1; j<=ac; j++)
832 IMATELEM(*ab,i,j) = IMATELEM(*a,i,j);
833 }
834 for (i=1; i<=b->rows(); i++)
835 {
836 for(j=1; j<=b->cols(); j++)
837 IMATELEM(*ab,i,j+ac) = IMATELEM(*b,i,j);
838 }
839 return ab;
840}
int j
Definition: facHensel.cc:110

◆ ivCondNumber()

static int ivCondNumber ( intvec w,
int  l 
)
static

Definition at line 764 of file intvec.cc.

765{
766 int l0=0, i;
767
768 if (l<0)
769 {
770 for (i=w->rows()-1;i>=0;i--)
771 {
772 if ((*w)[i]<0) l0--;
773 }
774 if (l0==0)
775 {
776 for (i=w->rows()-1;i>=0;i--)
777 {
778 if ((*w)[i]>0) l0++;
779 }
780 }
781 return l0;
782 }
783 else
784 {
785 for (i=w->rows()-1;i>=0;i--)
786 {
787 if ((*w)[i]<0) return -1;
788 }
789 for (i=w->rows()-1;i>=0;i--)
790 {
791 if ((*w)[i]>0) l0++;
792 }
793 return l0;
794 }
795}
int l
Definition: cfEzgcd.cc:100
const CanonicalForm & w
Definition: facAbsFact.cc:51

◆ ivContent()

static void ivContent ( intvec w)
static

Definition at line 797 of file intvec.cc.

798{
799 int tgcd, m;
800 int i=w->rows()-1;
801
802 loop
803 {
804 tgcd = (*w)[i--];
805 if (tgcd!=0) break;
806 if (i<0) return;
807 }
808 if (tgcd<0) tgcd = -tgcd;
809 if (tgcd==1) return;
810 loop
811 {
812 m = (*w)[i--];
813 if (m!=0) tgcd= ivGcd(tgcd, m);
814 if (tgcd==1) return;
815 if (i<0) break;
816 }
817 for (i=w->rows()-1;i>=0;i--)
818 (*w)[i] /= tgcd;
819}
int m
Definition: cfEzgcd.cc:128
static int ivGcd(int, int)
Definition: intvec.cc:648
#define loop
Definition: structs.h:75

◆ ivFreeRow()

static void ivFreeRow ( intvec imat,
int  rowpos,
int  rpiv 
)
static

Definition at line 522 of file intvec.cc.

523{
524 int i, j;
525
526 for (j=rpiv-1;j>=rowpos;j--)
527 {
528 for (i=imat->cols();i!=0;i--)
529 IMATELEM(*imat,j+1,i) = IMATELEM(*imat,j,i);
530 }
531}

◆ ivGcd()

static int ivGcd ( int  a,
int  b 
)
static

Definition at line 648 of file intvec.cc.

649{
650 int x;
651
652 if (a<0) a=-a;
653 if (b<0) b=-b;
654 if (b>a)
655 {
656 x=b;
657 b=a;
658 a=x;
659 }
660 while (b!=0)
661 {
662 x = a % b;
663 a = b;
664 b = x;
665 }
666 return a;
667}
Variable x
Definition: cfModGcd.cc:4082

◆ ivKernFromRow()

static void ivKernFromRow ( intvec kern,
intvec imat,
intvec perm,
int  pos,
int  r,
int  c 
)
static

Definition at line 613 of file intvec.cc.

615{
616 int piv, cp, g, i, j, k, s;
617
618 for (i=c;i>(*perm)[r];i--)
619 {
620 IMATELEM(*kern,pos,i) = 1;
621 for (j=r;j!=0;j--)
622 {
623 cp = (*perm)[j];
624 s=0;
625 for(k=c;k>cp;k--)
626 s += IMATELEM(*imat,j,k)*IMATELEM(*kern,pos,k);
627 if (s!=0)
628 {
629 piv = IMATELEM(*imat,j,cp);
630 g = ivGcd(piv,s);
631 if (g!=1)
632 {
633 s /= g;
634 piv /= g;
635 }
636 for(k=c;k>cp;k--)
637 IMATELEM(*kern,pos,k) *= piv;
638 IMATELEM(*kern,pos,cp) = -s;
639 ivRowContent(kern,pos,cp);
640 }
641 }
642 if (IMATELEM(*kern,pos,i)<0)
643 ivNegRow(kern,pos);
644 pos--;
645 }
646}
int k
Definition: cfEzgcd.cc:99
g
Definition: cfModGcd.cc:4090
static void ivRowContent(intvec *, int, int)
Definition: intvec.cc:589
static void ivNegRow(intvec *, int)
Definition: intvec.cc:498

◆ ivL1Norm()

static int ivL1Norm ( intvec w)
static

Definition at line 749 of file intvec.cc.

750{
751 int i, j, s = 0;
752
753 for (i=w->rows()-1;i>=0;i--)
754 {
755 j = (*w)[i];
756 if (j>0)
757 s += j;
758 else
759 s -= j;
760 }
761 return s;
762}

◆ ivMult()

intvec * ivMult ( intvec a,
intvec b 
)

Definition at line 349 of file intvec.cc.

350{
351 int i, j, k, sum,
352 ra = a->rows(), ca = a->cols(),
353 rb = b->rows(), cb = b->cols();
354 intvec * iv;
355 if (ca != rb) return NULL;
356 iv = new intvec(ra, cb, 0);
357 for (i=0; i<ra; i++)
358 {
359 for (j=0; j<cb; j++)
360 {
361 sum = 0;
362 for (k=0; k<ca; k++)
363 sum += (*a)[i*ca+k]*(*b)[k*cb+j];
364 (*iv)[i*cb+j] = sum;
365 }
366 }
367 return iv;
368}

◆ ivNegRow()

static void ivNegRow ( intvec imat,
int  rpiv 
)
static

Definition at line 498 of file intvec.cc.

499{
500 int i;
501 for (i=imat->cols();i!=0;i--)
502 IMATELEM(*imat,rpiv,i) = -(IMATELEM(*imat,rpiv,i));
503}

◆ ivOptimizeKern()

static intvec * ivOptimizeKern ( intvec kern)
static

Definition at line 669 of file intvec.cc.

670{
671 int i,l,j,c=kern->cols(),r=kern->rows();
672 intvec *res=new intvec(c);
673
674 if (TEST_OPT_PROT)
675 Warn(" %d linear independent solutions\n",r);
676 for (i=r;i>1;i--)
677 {
678 for (j=c;j>0;j--)
679 {
680 (*res)[j-1] += IMATELEM(*kern,i,j);
681 }
682 }
683 ivContent(res);
684 if (r<11)
685 {
686 l = ivCondNumber(res,-c);
687 j = ivL1Norm(res);
688 ivOptRecursive(res, NULL, kern, l, j, r);
689 }
690 return res;
691}
#define Warn
Definition: emacs.cc:77
CanonicalForm res
Definition: facAbsFact.cc:60
static void ivOptRecursive(intvec *, intvec *, intvec *, int &, int &, int)
Definition: intvec.cc:693
static int ivL1Norm(intvec *)
Definition: intvec.cc:749
static void ivContent(intvec *)
Definition: intvec.cc:797
static int ivCondNumber(intvec *, int)
Definition: intvec.cc:764
#define TEST_OPT_PROT
Definition: options.h:104

◆ ivOptRecursive()

static void ivOptRecursive ( intvec res,
intvec w,
intvec kern,
int &  l,
int &  j,
int  pos 
)
static

Definition at line 693 of file intvec.cc.

695{
696 int m, k, d;
697 intvec *h;
698
699 d=kern->rows();
700 d=96/(d*d);
701 if (d<3) d=3;
702 if (w!=0)
703 h = new intvec(w);
704 else
705 h = new intvec(res->rows());
706 for (m=d;m>0;m--)
707 {
708 for(k=h->rows()-1;k>=0;k--)
709 (*h)[k] += IMATELEM(*kern,pos,k+1);
710 if(pos>1)
711 ivOptRecursive(res, h, kern, l, j, pos-1);
712 else
713 ivOptSolve(res, h, l, j);
714 }
715 delete h;
716 if (pos>1)
717 ivOptRecursive(res, w, kern, l, j, pos-1);
718 else if (w!=NULL)
719 ivOptSolve(res, w, l, j);
720}
static void ivOptSolve(intvec *, intvec *, int &, int &)
Definition: intvec.cc:722
STATIC_VAR Poly * h
Definition: janet.cc:971

◆ ivOptSolve()

static void ivOptSolve ( intvec res,
intvec w,
int &  l,
int &  j 
)
static

Definition at line 722 of file intvec.cc.

723{
724 int l0, j0, k;
725
726 l0 = ivCondNumber(w, l);
727 if (l0==l)
728 {
729 ivContent(w);
730 j0 = ivL1Norm(w);
731 if(j0<j)
732 {
733 j = j0;
734 for(k=w->rows()-1;k>=0;k--)
735 (*res)[k] = (*w)[k];
736 }
737 return;
738 }
739 if(l0>l)
740 {
741 l = l0;
742 ivContent(w);
743 j = ivL1Norm(w);
744 for(k=w->rows()-1;k>=0;k--)
745 (*res)[k] = (*w)[k];
746 }
747}

◆ ivReduce()

static void ivReduce ( intvec imat,
int  rpiv,
int  colpos,
int  ready,
int  all 
)
static

Definition at line 533 of file intvec.cc.

535{
536 int tgcd, ce, m1, m2, j, i;
537 int piv = IMATELEM(*imat,rpiv,colpos);
538
539 for (j=all;j>ready;j--)
540 {
541 ivRowContent(imat, j, 1);
542 ce = IMATELEM(*imat,j,colpos);
543 if (ce!=0)
544 {
545 IMATELEM(*imat,j,colpos) = 0;
546 m1 = piv;
547 m2 = ce;
548 tgcd = ivGcd(m1, m2);
549 if (tgcd != 1)
550 {
551 m1 /= tgcd;
552 m2 /= tgcd;
553 }
554 for (i=imat->cols();i>colpos;i--)
555 {
556 IMATELEM(*imat,j,i) = IMATELEM(*imat,j,i)*m1-
557 IMATELEM(*imat,rpiv,i)*m2;
558 }
559 ivRowContent(imat, j, colpos+1);
560 }
561 }
562}

◆ ivRowContent()

static void ivRowContent ( intvec imat,
int  rowpos,
int  colpos 
)
static

Definition at line 589 of file intvec.cc.

590{
591 int tgcd, m;
592 int i=imat->cols();
593
594 loop
595 {
596 tgcd = IMATELEM(*imat,rowpos,i--);
597 if (tgcd!=0) break;
598 if (i<colpos) return;
599 }
600 if (tgcd<0) tgcd = -tgcd;
601 if (tgcd==1) return;
602 loop
603 {
604 m = IMATELEM(*imat,rowpos,i--);
605 if (m!=0) tgcd= ivGcd(tgcd, m);
606 if (tgcd==1) return;
607 if (i<colpos) break;
608 }
609 for (i=imat->cols();i>=colpos;i--)
610 IMATELEM(*imat,rowpos,i) /= tgcd;
611}

◆ ivSaveRow()

static void ivSaveRow ( intvec imat,
int  rpiv 
)
static

Definition at line 505 of file intvec.cc.

506{
507 int i, j=imat->rows();
508
509 for (i=imat->cols();i!=0;i--)
510 IMATELEM(*imat,j,i) = IMATELEM(*imat,rpiv,i);
511}

◆ ivSetRow()

static void ivSetRow ( intvec imat,
int  rowpos,
int  colpos 
)
static

Definition at line 513 of file intvec.cc.

514{
515 int i, j=imat->rows();
516
517 for (i=imat->cols();i!=0;i--)
518 IMATELEM(*imat,rowpos,i) = IMATELEM(*imat,j,i);
519 ivRowContent(imat, rowpos, colpos);
520}

◆ ivSolveKern()

intvec * ivSolveKern ( intvec imat,
int  dimtr 
)

Definition at line 442 of file intvec.cc.

443{
444 int d=imat->cols();
445 int kdim=d-dimtr;
446 intvec *perm = new intvec(dimtr+1);
447 intvec *kern = new intvec(kdim,d,0);
448 intvec *res;
449 int c, cp, r, t;
450
451 t = kdim;
452 c = 1;
453 for (r=1;r<=dimtr;r++)
454 {
455 while (IMATELEM(*imat,r,c)==0) c++;
456 (*perm)[r] = c;
457 c++;
458 }
459 c = d;
460 for (r=dimtr;r>0;r--)
461 {
462 cp = (*perm)[r];
463 if (cp!=c)
464 {
465 ivKernFromRow(kern, imat, perm, t, r, c);
466 t -= (c-cp);
467 if (t==0)
468 break;
469 c = cp-1;
470 }
471 else
472 c--;
473 }
474 if (kdim>1)
475 res = ivOptimizeKern(kern);
476 else
477 res = ivTranp(kern);
478 delete kern;
479 delete perm;
480 return res;
481}
static intvec * ivOptimizeKern(intvec *)
Definition: intvec.cc:669
static void ivKernFromRow(intvec *, intvec *, intvec *, int, int, int)
Definition: intvec.cc:613
intvec * ivTranp(intvec *o)
Definition: intvec.cc:327

◆ ivSub()

intvec * ivSub ( intvec a,
intvec b 
)

Definition at line 297 of file intvec.cc.

298{
299 intvec * iv;
300 int mn, ma, i;
301 if (a->cols() != b->cols()) return NULL;
302 mn = si_min(a->rows(),b->rows());
303 ma = si_max(a->rows(),b->rows());
304 if (a->cols() == 1)
305 {
306 iv = new intvec(ma);
307 for (i=0; i<mn; i++) (*iv)[i] = (*a)[i] - (*b)[i];
308 if (ma > mn)
309 {
310 if (ma == a->rows())
311 {
312 for(i=mn; i<ma; i++) (*iv)[i] = (*a)[i];
313 }
314 else
315 {
316 for(i=mn; i<ma; i++) (*iv)[i] = -(*b)[i];
317 }
318 }
319 return iv;
320 }
321 if (mn != ma) return NULL;
322 iv = new intvec(a);
323 for (i=0; i<mn*a->cols(); i++) { (*iv)[i] -= (*b)[i]; }
324 return iv;
325}

◆ ivTrace()

int ivTrace ( intvec o)

Definition at line 339 of file intvec.cc.

340{
341 int i, s = 0, m = si_min(o->rows(),o->cols()), c = o->cols();
342 for (i=0; i<m; i++)
343 {
344 s += (*o)[i*c+i];
345 }
346 return s;
347}

◆ ivTranp()

intvec * ivTranp ( intvec o)

Definition at line 327 of file intvec.cc.

328{
329 int i, j, r = o->rows(), c = o->cols();
330 intvec * iv= new intvec(c, r, 0);
331 for (i=0; i<r; i++)
332 {
333 for (j=0; j<c; j++)
334 (*iv)[j*r+i] = (*o)[i*c+j];
335 }
336 return iv;
337}

◆ ivTriangIntern()

void ivTriangIntern ( intvec imat,
int &  ready,
int &  all 
)

Definition at line 404 of file intvec.cc.

405{
406 int rpiv, colpos=0, rowpos=0;
407 int ia=ready, ie=all;
408
409 do
410 {
411 rowpos++;
412 do
413 {
414 colpos++;
415 rpiv = ivColPivot(imat, colpos, rowpos, ia, ie);
416 } while (rpiv==0);
417 if (rpiv>ia)
418 {
419 if (rowpos!=rpiv)
420 {
421 ivSaveRow(imat, rpiv);
422 ivFreeRow(imat, rowpos, rpiv);
423 ivSetRow(imat, rowpos, colpos);
424 rpiv = rowpos;
425 }
426 ia++;
427 if (ia==imat->cols())
428 {
429 ready = ia;
430 all = ie;
431 return;
432 }
433 }
434 ivReduce(imat, rpiv, colpos, ia, ie);
435 ivZeroElim(imat, colpos, ia, ie);
436 } while (ie>ia);
437 ready = ia;
438 all = ie;
439}
static int ivColPivot(intvec *, int, int, int, int)
Definition: intvec.cc:484
static void ivSetRow(intvec *, int, int)
Definition: intvec.cc:513
static void ivFreeRow(intvec *, int, int)
Definition: intvec.cc:522
static void ivZeroElim(intvec *, int, int, int &)
Definition: intvec.cc:564
static void ivSaveRow(intvec *, int)
Definition: intvec.cc:505
static void ivReduce(intvec *, int, int, int, int)
Definition: intvec.cc:533

◆ ivZeroElim()

static void ivZeroElim ( intvec imat,
int  colpos,
int  ready,
int &  all 
)
static

Definition at line 564 of file intvec.cc.

566{
567 int j, i, k, l;
568
569 k = ready;
570 for (j=ready+1;j<=all;j++)
571 {
572 for (i=imat->cols();i>colpos;i--)
573 {
574 if (IMATELEM(*imat,j,i)!=0)
575 {
576 k++;
577 if (k<j)
578 {
579 for (l=imat->cols();l>colpos;l--)
580 IMATELEM(*imat,k,l) = IMATELEM(*imat,j,l);
581 }
582 break;
583 }
584 }
585 }
586 all = k;
587}