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15 #ifdef HAVE_COEF_BUCKETS
16 #define USE_COEF_BUCKETS
19 #ifdef USE_COEF_BUCKETS
21 #define MULTIPLY_BUCKET(B,I) do \
22 { if (B->coef[I]!=NULL) \
24 assume(p_IsConstant(B->Coef[i],B->bucket->ring)); \
25 B->buckets[I]=p_Mult_q(B->buckets[I],B->coef[I],B->bucket_ring); \
29 if (rField_is_Ring(B->bucket_ring)) B->buckets_length[i] = pLength(B->buckets[i]);
31 #define MULTIPLY_BUCKET(B,I) do \
32 { if (B->coef[I]!=NULL) \
34 B->buckets[I]=p_Mult_q(B->buckets[I],B->coef[I],B->bucket_ring); \
40 #define MULTIPLY_BUCKET(B,I)
43 #ifdef USE_COEF_BUCKETS
44 static int coef_start=1;
52 #ifndef BUCKET_TWO_BASE
53 static inline int LOG4(
int v)
55 const unsigned int b[] = {0x2, 0xC, 0xF0, 0xFF00, 0xFFFF0000};
56 const unsigned int S[] = {1, 2, 4, 8, 16};
59 if (
v &
b[4]) {
v >>= S[4]; r |= S[3]; }
60 if (
v &
b[3]) {
v >>= S[3]; r |= S[2]; }
61 if (
v &
b[2]) {
v >>= S[2]; r |= S[1]; }
62 if (
v &
b[1]) {
v >>= S[1]; r |= S[0]; }
68 static inline unsigned int pLogLength(
unsigned int l)
74 #ifdef BUCKET_TWO_BASE
90 #ifndef HAVE_PSEUDO_BUCKETS
93 #ifdef USE_COEF_BUCKETS
95 if ((bucket->coef[
i]!=
NULL) && (bucket->buckets[
i]==
NULL))
99 if (bucket->coef[
i]!=
NULL)
106 if ((
unsigned)bucket->buckets_length[
i] !=
pLength(bucket->buckets[
i]))
108 dReportError(
"Bucket %d lengths difference should:%d has:%d",
109 i, bucket->buckets_length[
i],
pLength(bucket->buckets[
i]));
111 else if (
i > 0 && (
int)
pLogLength(bucket->buckets_length[
i]) >
i)
114 i, bucket->buckets_length[
i]);
116 if (
i==0 && bucket->buckets_length[0] > 1)
126 #ifdef HAVE_COEF_BUCKETS
130 poly lm = bucket->buckets[0];
134 if (! kbTest_i(bucket, 0))
return FALSE;
135 for (
i=1;
i<= (int) bucket->buckets_used;
i++)
137 if (!kbTest_i(bucket,
i))
return FALSE;
138 if (lm !=
NULL && bucket->buckets[
i] !=
NULL
155 if (bucket->buckets[
i] !=
NULL || bucket->buckets_length[
i] != 0)
163 if (bucket->buckets[
i]!=
NULL)
168 if (bucket->buckets[
j]==bucket->buckets[
i])
175 #ifdef HAVE_COEF_BUCKETS
176 if (bucket->coef[
i]!=
NULL)
181 if (bucket->coef[
j]==bucket->coef[
i])
193 #else // HAVE_PSEUDO_BUCKETS
198 #endif // ! HAVE_PSEUDO_BUCKETS
225 for (
i=0;
i<= bucket->buckets_used;
i++)
228 #ifdef USE_COEF_BUCKETS
239 #ifndef HAVE_PSEUDO_BUCKETS
244 if (bucket->buckets[0] !=
NULL)
246 poly lm = bucket->buckets[0];
248 #ifdef BUCKET_TWO_BASE
250 while ( bucket->buckets_length[
i] >=
l)
257 while ( bucket->buckets_length[
i] >=
l)
263 #ifndef USE_COEF_BUCKETS
265 pNext(lm) = bucket->buckets[
i];
266 bucket->buckets[
i] = lm;
267 bucket->buckets_length[
i]++;
268 assume(i <= bucket->buckets_used+1);
269 if (
i > bucket->buckets_used) bucket->buckets_used =
i;
270 bucket->buckets[0] =
NULL;
271 bucket->buckets_length[0] = 0;
274 if (
i > bucket->buckets_used) bucket->buckets_used =
i;
276 if (bucket->buckets[
i]!=
NULL)
279 pNext(lm) = bucket->buckets[
i];
280 bucket->buckets[
i] = lm;
281 bucket->buckets_length[
i]++;
282 assume(i <= bucket->buckets_used+1);
294 bucket->buckets[
i]=lm;
295 bucket->buckets_length[
i]=1;
298 bucket->buckets[
i]=lm;
299 bucket->buckets_length[
i]=1;
302 pNext(lm) = bucket->buckets[
i];
303 bucket->buckets[
i] = lm;
304 bucket->buckets_length[
i]++;
305 assume(i <= bucket->buckets_used+1);
308 bucket->buckets[0]=
NULL;
309 bucket->buckets_length[0] = 0;
310 bucket->coef[0]=
NULL;
324 #ifdef HAVE_COEF_BUCKETS
327 if (bucket->buckets_length[
i] != 0)
return FALSE;
339 if (lm ==
NULL)
return;
344 bucket->buckets[0] = lm;
345 #ifdef HAVE_COEF_BUCKETS
348 #ifdef USE_COEF_BUCKETS
349 bucket->coef[0]=
NULL;
352 bucket->buckets_length[0] = 1;
354 bucket->buckets_length[0]= 0;
358 bucket->buckets[
i] =
pNext(lm);
360 bucket->buckets_length[
i] =
length-1;
361 bucket->buckets_used =
i;
365 bucket->buckets_used = 0;
374 poly
p = bucket->buckets[1];
376 int pl = bucket->buckets_length[1];
378 bucket->buckets[1] =
NULL;
379 bucket->buckets_length[1] = 0;
380 #ifdef USE_COEF_BUCKETS
386 for (
i=1;
i<=bucket->buckets_used;
i++)
388 #ifdef USE_COEF_BUCKETS
389 if (bucket->coef[
i]!=
NULL)
393 pl, bucket->buckets_length[
i], r);
399 pl, bucket->buckets_length[
i], r);
402 pl, bucket->buckets_length[
i], r);
405 bucket->buckets[
i] =
NULL;
406 bucket->buckets_length[
i] = 0;
408 #ifdef HAVE_COEF_BUCKETS
411 lm = bucket->buckets[0];
417 bucket->buckets[0] =
NULL;
418 bucket->buckets_length[0] = 0;
423 bucket->buckets[
i] =
p;
424 bucket->buckets_length[
i] = pl;
430 bucket->buckets_used =
i;
432 #ifdef USE_COEF_BUCKETS
447 #ifdef USE_COEF_BUCKETS
451 *
p = bucket->buckets[
i];
452 *
length = bucket->buckets_length[
i];
453 bucket->buckets[
i] =
NULL;
454 bucket->buckets_length[
i] = 0;
455 bucket->buckets_used = 0;
467 kBucketMergeLm(bucket);
469 bucket->buckets[0] = lm;
470 bucket->buckets_length[0] = 1;
473 #else // HAVE_PSEUDO_BUCKETS
512 #endif // ! HAVE_PSEUDO_BUCKETS
518 ring new_tailRing,
omBin new_tailBin,
521 #ifndef HAVE_PSEUDO_BUCKETS
525 for (
i=0;
i<= bucket->buckets_used;
i++)
526 if (bucket->buckets[
i] !=
NULL)
529 bucket->buckets[
i] = p_shallow_copy_delete(bucket->buckets[
i],
535 bucket->
p = p_shallow_copy_delete(
p,
551 int l1 = bucket->buckets_length[
i];
552 poly p1 = bucket->buckets[
i];
553 bucket->buckets[
i] =
NULL;
554 bucket->buckets_length[
i] = 0;
557 while (bucket->buckets[
i] !=
NULL)
561 p1 =
p_Add_q(p1, bucket->buckets[
i],
563 bucket->buckets[
i] =
NULL;
564 bucket->buckets_length[
i] = 0;
568 bucket->buckets[
i] = p1;
569 bucket->buckets_length[
i]=l1;
570 if (
i >= bucket->buckets_used)
571 bucket->buckets_used =
i;
573 kBucketAdjustBucketsUsed(bucket);
582 #ifndef HAVE_PSEUDO_BUCKETS
587 for (
i=0;
i<= bucket->buckets_used;
i++)
589 if (bucket->buckets[
i] !=
NULL)
591 #ifdef USE_COEF_BUCKETS
603 bucket->buckets_length[
i] =
pLength(bucket->buckets[
i]);
607 if (bucket->coef[
i]!=
NULL)
619 bucket->buckets_length[
i] =
pLength(bucket->buckets[
i]);
638 if (q ==
NULL)
return;
652 kBucketMergeLm(bucket);
656 while (bucket->buckets[
i] !=
NULL)
659 #ifdef USE_COEF_BUCKETS
660 if (bucket->coef[
i]!=
NULL)
663 l1, bucket->buckets_length[
i], r);
669 l1, bucket->buckets_length[
i], r);
672 l1, bucket->buckets_length[
i], r);
674 bucket->buckets[
i] =
NULL;
675 bucket->buckets_length[
i] = 0;
682 bucket->buckets[
i] = q;
683 bucket->buckets_length[
i]=l1;
684 if (
i >= bucket->buckets_used)
685 bucket->buckets_used =
i;
687 kBucketAdjustBucketsUsed(bucket);
716 #ifndef HAVE_PSEUDO_BUCKETS
717 kBucketMergeLm(bucket);
721 #if defined(HAVE_PLURAL)
734 if ((i <= bucket->buckets_used) && (bucket->buckets[
i] !=
NULL))
736 assume(
pLength(bucket->buckets[
i])==(
unsigned)bucket->buckets_length[
i]);
750 bucket->buckets_length[
i], l1,
752 l1 = bucket->buckets_length[
i];
753 bucket->buckets[
i] =
NULL;
754 bucket->buckets_length[
i] = 0;
760 if (spNoether !=
NULL)
763 p1 = r->p_Procs->pp_Mult_mm_Noether(p1,
m, spNoether, l1, r);
768 p1 = r->p_Procs->pp_Mult_mm(p1,
m, r);
774 while (bucket->buckets[
i] !=
NULL)
778 p1 =
p_Add_q(p1, bucket->buckets[
i],
779 l1, bucket->buckets_length[
i], r);
780 bucket->buckets[
i] =
NULL;
781 bucket->buckets_length[
i] = 0;
785 bucket->buckets[
i] = p1;
786 bucket->buckets_length[
i]=l1;
787 if (
i >= bucket->buckets_used)
788 bucket->buckets_used =
i;
790 kBucketAdjustBucketsUsed(bucket);
791 #else // HAVE_PSEUDO_BUCKETS
821 kBucketMergeLm(bucket);
824 #ifdef USE_COEF_BUCKETS
827 if (i <= bucket->buckets_used && bucket->buckets[
i] !=
NULL)
830 #ifdef USE_COEF_BUCKETS
831 if ((bucket->coef[
i]!=
NULL) &&(
i>=coef_start))
837 number
gcd=
n_Gcd(add_coef, orig_coef,r);
845 orig_coef=orig_coef2;
857 bucket->buckets[
i]=
__p_Mult_nn(bucket->buckets[
i],orig_coef,r);
863 bucket->buckets_length[
i], l1, r);
864 l1=bucket->buckets_length[
i];
865 bucket->buckets[
i]=
NULL;
866 bucket->buckets_length[
i] = 0;
877 bucket->buckets_length[
i], l1, r);
878 l1 = bucket->buckets_length[
i];
879 bucket->buckets[
i] =
NULL;
880 bucket->buckets_length[
i] = 0;
886 #ifdef USE_COEF_BUCKETS
895 p1 = r->p_Procs->pp_Mult_mm(p1,
m, r);
896 #ifdef USE_COEF_BUCKETS
902 while ((bucket->buckets[
i] !=
NULL) && (p1!=
NULL))
905 #ifdef USE_COEF_BUCKETS
906 if ((bucket->coef[
i]!=
NULL) &&(
i>=coef_start))
911 number add_coef=
n_Copy(n,r);
912 number
gcd=
n_Gcd(add_coef, orig_coef,r);
921 orig_coef=orig_coef2;
927 bucket->buckets[
i]=
__p_Mult_nn(bucket->buckets[
i],orig_coef,r);
930 p1 =
p_Add_q(p1, bucket->buckets[
i],r);
933 bucket->buckets[
i]=
NULL;
943 #ifdef USE_COEF_BUCKETS
952 p1 =
p_Add_q(p1, bucket->buckets[
i],
953 l1, bucket->buckets_length[
i], r);
954 bucket->buckets[
i] =
NULL;
955 bucket->buckets_length[
i] = 0;
960 bucket->buckets[
i] = p1;
961 #ifdef USE_COEF_BUCKETS
970 bucket->coef[
i]=
NULL;
977 bucket->buckets_length[
i]=l1;
978 if (
i > bucket->buckets_used)
979 bucket->buckets_used =
i;
981 kBucketAdjustBucketsUsed(bucket);
1027 #ifndef HAVE_PSEUDO_BUCKETS
1028 kBucketMergeLm(bucket);
1029 for (
i=1;
i<=bucket->buckets_used;
i++)
1031 if (bucket->buckets[
i] !=
NULL)
1038 bucket->buckets_length[
i] -=
lq;
1039 assume(
pLength(bucket->buckets[
i]) == (
unsigned)bucket->buckets_length[
i]);
1044 kBucketAdjustBucketsUsed(bucket);
1096 if ((ct == 0) || (ct == 2))
1161 #ifndef USE_COEF_BUCKETS
1164 if (bucket->buckets[0]==
NULL)
return;
1170 if (
cf->cfSubringGcd==
ndGcd)
return;
1172 number nn=
pGetCoeff(bucket->buckets[0]);
1186 for (
int i=1;
i<=bucket->buckets_used;
i++)
1188 if (bucket->buckets[
i]!=
NULL)
1205 for (
int i=0;
i<=bucket->buckets_used;
i++)
1207 if (bucket->buckets[
i]!=
NULL)
1209 poly
p=bucket->buckets[
i];
1225 for (
int i=bucket->buckets_used;
i>=0;
i--)
1227 if (bucket->buckets[
i]!=
NULL)
1229 poly
p=bucket->buckets[
i];
1241 static BOOLEAN nIsPseudoUnit(number n, ring r)
1248 return (
n_Size(n,r->cf)==1);
1267 if ((bucket->buckets[
i]!=
NULL) && (bucket->coef[
i]==
NULL))
1278 if ((bucket->buckets[
i]!=
NULL)
1279 && (nIsPseudoUnit(
p_GetCoeff(bucket->coef[
i],r),r)))
1294 if (bucket->buckets[
i]!=
NULL)
1303 if (nIsPseudoUnit(coef,r))
1320 if (bucket->buckets[
i]!=
NULL)
1338 poly
p=bucket->buckets[
i];
1339 bucket->buckets_length[
i]--;
1340 #ifdef USE_COEF_BUCKETS
1342 if (bucket->coef[
i]!=
NULL)
1348 p=bucket->buckets[
i];
1349 bucket->buckets[
i]=
NULL;
1354 bucket->buckets[
i]=
next;
1365 bucket->buckets[
i]=
pNext(bucket->buckets[
i]);
1386 number an = *a, bn = *
b;
void kBucketSimpleContent(kBucket_pt bucket)
int ksCheckCoeff(number *a, number *b)
int dReportError(const char *fmt,...)
void kBucketSetLm(kBucket_pt bucket, poly lm)
int kBucketCanonicalize(kBucket_pt bucket)
#define p_SetCoeff0(p, n, r)
static FORCE_INLINE number n_ExactDiv(number a, number b, const coeffs r)
assume that there is a canonical subring in cf and we know that division is possible for these a and ...
static BOOLEAN rField_is_Domain(const ring r)
static int LOG4(int v)
Some internal stuff.
#define omGetSpecBin(size)
number kBucketPolyRed(kBucket_pt bucket, poly p1, int l1, poly spNoether)
static int SI_LOG2(int v)
static void p_SetCompP(poly p, int i, ring r)
#define MAX_BUCKET
Bucket definition (should be no one elses business, though)
static poly p_Plus_mm_Mult_qq(poly p, poly m, poly q, int &lp, int lq, const ring r)
static poly p_Minus_mm_Mult_qq(poly p, const poly m, const poly q, int &lp, int lq, const poly spNoether, const ring r)
static BOOLEAN length(leftv result, leftv arg)
poly kBucketExtractLmOfBucket(kBucket_pt bucket, int i)
static FORCE_INLINE void n_Delete(number *p, const coeffs r)
delete 'p'
number p_InitContent(poly ph, const ring r)
static unsigned int pLogLength(unsigned int l)
static poly pp_Mult_mm(poly p, poly m, const ring r)
const poly kBucketGetLm(kBucket_pt bucket)
static FORCE_INLINE BOOLEAN n_IsZero(number n, const coeffs r)
TRUE iff 'n' represents the zero element.
static FORCE_INLINE BOOLEAN n_IsOne(number n, const coeffs r)
TRUE iff 'n' represents the one element.
#define __p_Mult_nn(p, n, r)
static FORCE_INLINE void n_Normalize(number &n, const coeffs r)
inplace-normalization of n; produces some canonical representation of n;
static void p_ExpVectorSub(poly p1, poly p2, const ring r)
#define p_LmEqual(p1, p2, r)
static BOOLEAN rIsPluralRing(const ring r)
we must always have this test!
static unsigned pLength(poly a)
#define omCheckAddrBin(addr, bin)
poly kBucketExtractLm(kBucket_pt bucket)
void kBucket_Add_q(kBucket_pt bucket, poly q, int *l)
Add to Bucket a poly ,i.e. Bpoly == q+Bpoly.
void kBucketDestroy(kBucket_pt *bucket_pt)
void PrintS(const char *s)
void kBucketInit(kBucket_pt bucket, poly lm, int length)
BOOLEAN kbTest(kBucket_pt bucket)
Tests.
void kBucket_Minus_m_Mult_p(kBucket_pt bucket, poly m, poly p, int *l, poly spNoether)
Bpoly == Bpoly - m*p; where m is a monom Does not destroy p and m assume (*l <= 0 || pLength(p) == *l...
static BOOLEAN rField_is_Ring(const ring r)
void kBucket_Mult_n(kBucket_pt bucket, number n)
Multiply Bucket by number ,i.e. Bpoly == n*Bpoly.
#define pFalseReturn(cond)
void kBucketShallowCopyDelete(kBucket_pt bucket, ring new_tailRing, omBin new_tailBin, pShallowCopyDeleteProc p_shallow_copy_delete)
For changing the ring of the Bpoly to new_tailBin.
number ndGcd(number, number, const coeffs r)
static void p_LmDelete(poly p, const ring r)
void kBucket_Plus_mm_Mult_pp(kBucket_pt bucket, poly m, poly p, int l)
Bpoly == Bpoly + m*p; where m is a monom Does not destroy p and m assume (l <= 0 || pLength(p) == l)
static FORCE_INLINE number n_Init(long i, const coeffs r)
a number representing i in the given coeff field/ring r
static BOOLEAN p_DivisibleBy(poly a, poly b, const ring r)
static int p_LmCmp(poly p, poly q, const ring r)
CFFList append(const CFFList &Inputlist, const CFFactor &TheFactor)
void kBucketClear(kBucket_pt bucket, poly *p, int *length)
static FORCE_INLINE number n_InpNeg(number n, const coeffs r)
in-place negation of n MUST BE USED: n = n_InpNeg(n) (no copy is returned)
static void p_Delete(poly *p, const ring r)
static poly p_Add_q(poly p, poly q, const ring r)
poly p_NSet(number n, const ring r)
returns the poly representing the number n, destroys n
void kBucketDeleteAndDestroy(kBucket_pt *bucket_pt)
void kBucketTakeOutComp(kBucket_pt bucket, long comp, poly *r_p, int *l)
static number p_SetCoeff(poly p, number n, ring r)
static FORCE_INLINE BOOLEAN n_IsMOne(number n, const coeffs r)
TRUE iff 'n' represents the additive inverse of the one element, i.e. -1.
static FORCE_INLINE number n_Copy(number n, const coeffs r)
return a copy of 'n'
static FORCE_INLINE number n_Gcd(number a, number b, const coeffs r)
in Z: return the gcd of 'a' and 'b' in Z/nZ, Z/2^kZ: computed as in the case Z in Z/pZ,...
void p_TakeOutComp(poly *p, long comp, poly *q, int *lq, const ring r)
void kBucketAdjust(kBucket_pt bucket, int i)
Bucket number i from bucket is out of length sync, resync.
BOOLEAN kBucketIsCleared(kBucket_pt bucket)
static unsigned long p_SetComp(poly p, unsigned long c, ring r)
static FORCE_INLINE number n_SubringGcd(number a, number b, const coeffs r)
static void p_Setm(poly p, const ring r)
const Variable & v
< [in] a sqrfree bivariate poly
#define MULTIPLY_BUCKET(B, I)
poly kBucket_ExtractLarger(kBucket_pt bucket, poly q, poly append)
Extract all monomials of bucket which are larger than q Append those to append, and return last monom...
poly(* pShallowCopyDeleteProc)(poly s_p, ring source_r, ring dest_r, omBin dest_bin)
returns a poly from dest_r which is a ShallowCopy of s_p from source_r assumes that source_r->N == de...
static BOOLEAN p_IsConstant(const poly p, const ring r)
kBucket_pt kBucketCreate(const ring bucket_ring)
Creation/Destruction of buckets.
int comp(const CanonicalForm &A, const CanonicalForm &B)
compare polynomials
static number & pGetCoeff(poly p)
return an alias to the leading coefficient of p assumes that p != NULL NOTE: not copy
static const char ** rParameter(const ring r)
(r->cf->parameter)
static FORCE_INLINE int n_Size(number n, const coeffs r)
return a non-negative measure for the complexity of n; return 0 only when n represents zero; (used fo...
#define n_Test(a, r)
BOOLEAN n_Test(number a, const coeffs r)
#define omFreeBin(addr, bin)
static BOOLEAN rField_is_Zp(const ring r)
static poly p_Mult_nn(poly p, number n, const ring r)