My Project  debian-1:4.1.1-p2+ds-4build3
Functions
spectrum.h File Reference
#include "kernel/spectrum/npolygon.h"
#include "kernel/spectrum/splist.h"

Go to the source code of this file.

Functions

BOOLEAN hasTermOfDegree (poly h, int d, const ring r)
 
int hasOne (ideal J, const ring r)
 
BOOLEAN hasAxis (ideal J, int k, const ring r)
 
poly computeWC (const newtonPolygon &np, Rational max_weight, const ring r)
 
void computeNF (ideal stdJ, poly hc, poly wc, spectrumPolyList *NF, const ring r)
 
BOOLEAN ringIsLocal (const ring r)
 
BOOLEAN hasConstTerm (poly h, const ring r)
 
BOOLEAN hasLinearTerm (poly h, const ring r)
 

Function Documentation

◆ computeNF()

void computeNF ( ideal  stdJ,
poly  hc,
poly  wc,
spectrumPolyList NF,
const ring  r 
)

Definition at line 309 of file spectrum.cc.

310 {
311  int carry,k;
312  multiCnt C( r->N,0 );
313  poly Z = NULL;
314 
315  int well = isWell(r);
316 
317  do
318  {
319  poly m = p_One(r);
320  setExp( m,C.cnt,r );
321 
322  carry = FALSE;
323 
324  k = isLeadMonomial( m,stdJ,r );
325 
326  if( k < 0 )
327  {
328  // ---------------------------
329  // m is not a lead monomial
330  // ---------------------------
331 
332  NF->insert_node( m,NULL,r );
333  }
334  else if( isMultiple( Z,m,r ) )
335  {
336  // ------------------------------------
337  // m is trivially in the ideal stdJ
338  // ------------------------------------
339 
340  p_Delete( &m,r );
341  carry = TRUE;
342  }
343  else if( p_Cmp( m,hc,r ) < 0 || p_Cmp( m,wc,r ) < 0 )
344  {
345  // -------------------
346  // we do not need m
347  // -------------------
348 
349  p_Delete( &m,r );
350  carry = TRUE;
351  }
352  else
353  {
354  // --------------------------
355  // compute lazy normal form
356  // --------------------------
357 
358  poly multiplicant = p_MDivide( m,stdJ->m[k],r );
359  pGetCoeff( multiplicant ) = n_Init(1,r->cf);
360 
361  poly nf = p_Mult_mm( p_Copy( stdJ->m[k],r ), multiplicant,r );
362 
363  p_Delete( &multiplicant,r );
364 
365  nf = normalFormHC( nf,hc,r );
366 
367  if( pNext( nf )==NULL )
368  {
369  // ----------------------------------
370  // normal form of m is m itself
371  // ----------------------------------
372 
373  p_Delete( &nf,r );
374  NF->delete_monomial( m,r );
375  Z = p_Add_q( Z,m,r );
376  carry = TRUE;
377  }
378  else
379  {
380  nf = normalFormZ( nf,Z,r );
381 
382  if( pNext( nf )==NULL )
383  {
384  // ----------------------------------
385  // normal form of m is m itself
386  // ----------------------------------
387 
388  p_Delete( &nf,r );
389  NF->delete_monomial( m,r );
390  Z = p_Add_q( Z,m,r );
391  carry = TRUE;
392  }
393  else
394  {
395  // ------------------------------------
396  // normal form of m is a polynomial
397  // ------------------------------------
398 
399  p_Norm( nf,r );
400  if( well==TRUE )
401  {
402  NF->insert_node( m,nf,r );
403  }
404  else
405  {
406  poly nfhard = kNF( stdJ,(ideal)NULL,pNext( nf ),0,0 );
407  nfhard = normalFormHC( nfhard,hc,r );
408  nfhard = normalFormZ ( nfhard,Z,r );
409 
410  if( nfhard==NULL )
411  {
412  NF->delete_monomial( m,r );
413  Z = p_Add_q( Z,m,r );
414  carry = TRUE;
415  }
416  else
417  {
418  p_Delete( &pNext( nf ),r );
419  pNext( nf ) = nfhard;
420  NF->insert_node( m,nf,r );
421  }
422  }
423  }
424  }
425  }
426  }
427  while( C.inc( carry ) );
428 
429  // delete single monomials
430 
431  BOOLEAN not_finished;
432 
433  do
434  {
435  not_finished = FALSE;
436 
437  spectrumPolyNode *node = NF->root;
438 
439  while( node!=(spectrumPolyNode*)NULL )
440  {
441  if( node->nf!=NULL && pNext( node->nf )==NULL )
442  {
443  NF->delete_monomial( node->nf,r );
444  not_finished = TRUE;
445  node = (spectrumPolyNode*)NULL;
446  }
447  else
448  {
449  node = node->next;
450  }
451  }
452  } while( not_finished );
453 
454  p_Delete( &Z,r );
455 }

◆ computeWC()

poly computeWC ( const newtonPolygon np,
Rational  max_weight,
const ring  r 
)

Definition at line 142 of file spectrum.cc.

143 {
144  poly m = p_One(r);
145  poly wc = NULL;
146  int mdegree;
147 
148  for( int i=1; i<=r->N; i++ )
149  {
150  mdegree = 1;
151  p_SetExp( m,i,mdegree,r );
152  // pSetm( m );
153  // np.weight_shift does not need pSetm( m ), postpone it
154 
155  while( np.weight_shift( m,r )<max_weight )
156  {
157  mdegree++;
158  p_SetExp( m,i,mdegree,r );
159  // pSetm( m );
160  // np.weight_shift does not need pSetm( m ), postpone it
161  }
162  p_Setm( m,r );
163 
164  if( i==1 || p_Cmp( m,wc,r )<0 )
165  {
166  p_Delete( &wc,r );
167  wc = p_Head( m,r );
168  }
169 
170  p_SetExp( m,i,0,r );
171  }
172 
173  p_Delete( &m,r );
174 
175  return wc;
176 }

◆ hasAxis()

BOOLEAN hasAxis ( ideal  J,
int  k,
const ring  r 
)

Definition at line 81 of file spectrum.cc.

82 {
83  int i;
84 
85  for( i=0; i<IDELEMS(J); i++ )
86  {
87  if (p_IsPurePower( J->m[i],r ) == k) return TRUE;
88  }
89  return FALSE;
90 }

◆ hasConstTerm()

BOOLEAN hasConstTerm ( poly  h,
const ring  r 
)
inline

Definition at line 28 of file spectrum.h.

29 { return hasTermOfDegree(h,0,r); }

◆ hasLinearTerm()

BOOLEAN hasLinearTerm ( poly  h,
const ring  r 
)
inline

Definition at line 30 of file spectrum.h.

31 { return hasTermOfDegree(h,1,r); }

◆ hasOne()

int hasOne ( ideal  J,
const ring  r 
)

Definition at line 96 of file spectrum.cc.

97 {
98  int i;
99 
100  for( i=0; i<IDELEMS(J); i++ )
101  {
102  if (p_IsConstant(J->m[i],r)) return TRUE;
103  }
104  return FALSE;
105 }

◆ hasTermOfDegree()

BOOLEAN hasTermOfDegree ( poly  h,
int  d,
const ring  r 
)

Definition at line 46 of file spectrum.cc.

47 {
48  do
49  {
50  if( p_Totaldegree( h,r )== d )
51  return TRUE;
52  pIter(h);
53  }
54  while( h!=NULL );
55 
56  return FALSE;
57 }

◆ ringIsLocal()

BOOLEAN ringIsLocal ( const ring  r)

Definition at line 461 of file spectrum.cc.

462 {
463  poly m = p_One(r);
464  poly one = p_One(r);
465  BOOLEAN res=TRUE;
466 
467  for( int i=r->N; i>0; i-- )
468  {
469  p_SetExp( m,i,1,r );
470  p_Setm( m,r );
471 
472  if( p_Cmp( m,one,r )>0 )
473  {
474  res=FALSE;
475  break;
476  }
477  p_SetExp( m,i,0,r );
478  }
479 
480  p_Delete( &m,r );
481  p_Delete( &one,r );
482 
483  return res;
484 }
FALSE
#define FALSE
Definition: auxiliary.h:94
spectrumPolyNode::nf
poly nf
Definition: splist.h:42
isWell
static BOOLEAN isWell(const ring r)
Definition: spectrum.cc:274
k
int k
Definition: cfEzgcd.cc:92
isMultiple
int isMultiple(poly f, poly m, const ring r)
Definition: spectrum.cc:110
p_Head
static poly p_Head(poly p, const ring r)
Definition: p_polys.h:825
p_Mult_mm
static poly p_Mult_mm(poly p, poly m, const ring r)
Definition: p_polys.h:997
setExp
static void setExp(poly m, int *r, const ring s)
Definition: spectrum.cc:260
spectrumPolyList::root
spectrumPolyNode * root
Definition: splist.h:60
normalFormZ
static poly normalFormZ(poly f, poly Z, const ring r)
Definition: spectrum.cc:206
nf
Definition: gnumpfl.cc:28
spectrumPolyNode::next
spectrumPolyNode * next
Definition: splist.h:39
p_SetExp
static unsigned long p_SetExp(poly p, const unsigned long e, const unsigned long iBitmask, const int VarOffset)
set a single variable exponent @Note: VarOffset encodes the position in p->exp
Definition: p_polys.h:488
isLeadMonomial
static int isLeadMonomial(poly m, ideal stdJ, const ring r)
Definition: spectrum.cc:234
p_Copy
static poly p_Copy(poly p, const ring r)
returns a copy of p
Definition: p_polys.h:812
TRUE
#define TRUE
Definition: auxiliary.h:98
i
int i
Definition: cfEzgcd.cc:125
res
CanonicalForm res
Definition: facAbsFact.cc:64
BOOLEAN
int BOOLEAN
Definition: auxiliary.h:85
p_Cmp
static int p_Cmp(poly p1, poly p2, ring r)
Definition: p_polys.h:1662
p_MDivide
poly p_MDivide(poly a, poly b, const ring r)
Definition: p_polys.cc:1454
h
static Poly * h
Definition: janet.cc:972
spectrumPolyList::delete_monomial
void delete_monomial(poly, const ring)
Definition: splist.cc:269
normalFormHC
static poly normalFormHC(poly f, poly hc, const ring r)
Definition: spectrum.cc:182
hasTermOfDegree
BOOLEAN hasTermOfDegree(poly h, int d, const ring r)
Definition: spectrum.cc:46
spectrumPolyNode
Definition: splist.h:36
pIter
#define pIter(p)
Definition: monomials.h:44
n_Init
static FORCE_INLINE number n_Init(long i, const coeffs r)
a number representing i in the given coeff field/ring r
Definition: coeffs.h:539
multiCnt
Definition: multicnt.h:18
kNF
poly kNF(ideal F, ideal Q, poly p, int syzComp, int lazyReduce)
Definition: kstd1.cc:2813
p_IsPurePower
int p_IsPurePower(const poly p, const ring r)
return i, if head depends only on var(i)
Definition: p_polys.cc:1218
p_Delete
static void p_Delete(poly *p, const ring r)
Definition: p_polys.h:857
p_Add_q
static poly p_Add_q(poly p, poly q, const ring r)
Definition: p_polys.h:892
p_One
poly p_One(const ring r)
Definition: p_polys.cc:1305
spectrumPolyList::insert_node
void insert_node(poly, poly, const ring)
Definition: splist.cc:184
m
int m
Definition: cfEzgcd.cc:121
NULL
#define NULL
Definition: omList.c:10
p_Setm
static void p_Setm(poly p, const ring r)
Definition: p_polys.h:233
p_Totaldegree
static long p_Totaldegree(poly p, const ring r)
Definition: p_polys.h:1453
p_IsConstant
static BOOLEAN p_IsConstant(const poly p, const ring r)
Definition: p_polys.h:1923
IDELEMS
#define IDELEMS(i)
Definition: simpleideals.h:26
p_Norm
void p_Norm(poly p1, const ring r)
Definition: p_polys.cc:3656
pGetCoeff
static number & pGetCoeff(poly p)
return an alias to the leading coefficient of p assumes that p != NULL NOTE: not copy
Definition: monomials.h:51
newtonPolygon::weight_shift
Rational weight_shift(poly, const ring r) const
Definition: npolygon.cc:585
pNext
#define pNext(p)
Definition: monomials.h:43