13 #define TRANSEXT_PRIVATES 75 #ifdef HAVE_GETTIMEOFDAY 111 #if HAVE_CAN_SHORT_OUT 124 cf->extRing->ShortOut = shortOut;
126 cf = cf->extRing->cf;
138 number n=(number)
IDDATA(h);
139 number one =
nInit(1);
140 number nn=
nMult(n,one);
174 Werror(
"type %d too complex...set minpoly before",
IDTYP(h));
break;
182 WarnS(
"Set minpoly over non-transcendental ground field to 0?!");
191 WarnS(
"Trying to set minpoly over non-transcendental ground field...");
194 WerrorS(
"cannot set minpoly for these coeffients");
201 WerrorS(
"only univarite minpoly allowed");
208 redefine_from_algext=(
currRing->cf->extRing->qideal!=
NULL);
213 WarnS(
"no minpoly allowed if there are local objects belonging to the basering: ");
234 WarnS(
"minpoly is already 0...");
238 WarnS(
"cannot set minpoly to 0 / alg. extension?");
246 Warn(
"killing a local object due to minpoly change: %s",
IDID(
currRing->idroot));
257 if ((p==
NULL) ||(NUM((fraction)p)==
NULL))
259 WerrorS(
"Could not construct the alg. extension: minpoly==0");
264 if (!redefine_from_algext && (DEN((fraction)(p)) !=
NULL))
266 poly n=DEN((fraction)(p));
269 WarnS(
"denominator must be constant - ignoring it");
272 DEN((fraction)(p))=
NULL;
275 if (redefine_from_algext) q->m[0]=(poly)p;
276 else q->m[0] = NUM((fraction)p);
280 PrintS(
"\nTrying to conver the currRing into an algebraic field: ");
281 PrintS(
"Ground poly. ring: \n");
283 PrintS(
"\nGiven MinPOLY: ");
290 if (!redefine_from_algext)
293 NUM((fractionObject *)p) =
NULL;
300 WerrorS(
"Could not construct the alg. extension: llegal minpoly?");
365 Werror(
"index[%d] must be positive",i+1);
374 (*iv1)[
i]=(int)((
long)(a->
Data()));
378 res->
data=(
void *)ivn;
381 (*iv)[
i]=(int)((
long)(a->
Data()));
385 int c=e->next->start;
386 if ((i>=iv->
rows())||(c<1)||(c>iv->
cols()))
388 Werror(
"wrong range [%d,%d] in intmat %s(%d,%d)",i+1,c,res->
Name(),iv->
rows(),iv->
cols());
414 number2 nn=(number2)res->
data;
425 Werror(
"index[%d] must be positive",i+1);
431 WerrorS(
"only one index given");
436 int c=e->next->start;
437 if ((i>=iv->
rows())||(c<1)||(c>iv->
cols()))
439 Werror(
"wrong range [%d,%d] in cmatrix %s(%d,%d)",i+1,c,res->
Name(),iv->
rows(),iv->
cols());
463 number2 nn=(number2)res->
data;
464 number2 n=n2Init((
long)a->
Data(),nn->cf);
470 WerrorS(
"no Ring avialable for conversion from int");
479 Werror(
"index[%d] must be positive",i+1);
485 WerrorS(
"only one index given");
490 int c=e->next->start;
491 if ((i>=iv->
rows())||(c<1)||(c>iv->
cols()))
493 Werror(
"wrong range [%d,%d] in cmatrix %s(%d,%d)",i+1,c,res->
Name(),iv->
rows(),iv->
cols());
511 number2 nn=(number2)res->
data;
512 number2 n=(number2)
omAlloc(
sizeof(*n));
520 number2 n=(number2)
omAlloc(
sizeof(*n));
536 poly2 nn=(poly2)res->
data;
547 Werror(
"index[%d] must be positive",i+1);
562 poly2 nn=(poly2)res->
data;
563 poly2 n=(poly2)
omAlloc(
sizeof(*n));
571 poly2 n=(poly2)
omAlloc(
sizeof(*n));
594 Werror(
"index[%d] must be positive",i+1);
600 WerrorS(
"only one index given");
605 int c=e->next->start;
606 if ((i>=iv->
rows())||(c<1)||(c>iv->
cols()))
608 Werror(
"wrong range [%d,%d] in bigintmat %s(%d,%d)",i+1,c,res->
Name(),iv->
rows(),iv->
cols());
625 int add_row_shift = 0;
627 if (weights!=
NULL) add_row_shift=weights->
min_in();
676 Werror(
"index[%d] must be positive",j);
707 if ((am->
rows()!=1) || (am->
cols()!=1))
716 int j=e->next->start;
738 int j=e->next->start;
750 void* tmp = res->
data;
757 char *
s=(
char *)res->
data;
758 if ((e->start>0)&&(e->start<=(int)strlen(s)))
759 s[e->start-1]=(char)(*((
char *)a->
Data()));
762 Werror(
"string index %d out of range 1..%d",e->start,(
int)strlen(s));
771 const char *procname,
int line,
883 res->
data = (
void *) l;
912 char *rn=f->preimage;
930 ring old_ring=(ring)res->
Data();
933 ideal
id = (ideal)a->
Data();
947 if ( qr->cf != newcf )
961 int *perm = (
int *)
omAlloc0((qr->N+1)*
sizeof(int));
968 for(i = 0, j = 0; i<
IDELEMS(
id); i++)
1004 Warn(
"%s is no twosided standard basis",a->
Name());
1031 ring r=(ring)a->
Data();
1062 res->
data=(
void *)0;
1078 #define NULL_VAL NULL 1103 WarnS(
"right side is not a datum, assignment ignored");
1132 memcpy(l,&ll,
sizeof(
sleftv));
1153 WerrorS(
"error in assign: left side is not an l-value");
1159 #ifdef BLACKBOX_DEVEL 1160 Print(
"bb-assign: bb=%lx\n",bb);
1162 return (bb==
NULL) || bb->blackbox_Assign(l,r);
1165 while ((
dAssign[start].res!=lt)
1166 && (
dAssign[start].res!=0)) start++;
1227 Werror(
"`%s`(%s) = `%s` is not supported",
1230 Werror(
"`%s` = `%s` is not supported" 1239 Werror(
"expected `%s` = `%s`" 1307 Werror(
"`%s` = `%s` is not supported" 1316 Werror(
"expected `%s` = `%s`" 1334 memset(&t,0,
sizeof(
sleftv));
1338 t.
data=(
char *)(
long)(*iv)[
i];
1343 if (nok)
return TRUE;
1360 memset(&t,0,
sizeof(
sleftv));
1370 t.
data=(
char *)I->m[i];
1468 Warn(
"expression list length(%d) does not match intmat size(%d)",
1475 (*iv)[i++] = (int)((
long)(hh->
Data()));
1484 (*iv)[i++] = (*ivv)[ll++];
1518 Warn(
"expression list length(%d) does not match bigintmat size(%d x %d)",
1531 bim->
set(i++, (number)(hh->
Data()));
1570 sl += strlen((
char *)hh->
Data());
1578 t=(
char *)hh->
Data();
1599 memset(&t,0,
sizeof(
sleftv));
1605 while ((i<mxn )&&(l!=
NULL))
1607 t.
data=(
char *)m->
m[i];
1631 WarnS(
"list length mismatch in assign (l>r)");
1638 WarnS(
"list length mismatch in assign (l<r)");
1676 char *
s=(
char *)r->
Data();
1679 memset(&t,0,
sizeof(
sleftv));
1681 while ((i<sl)&&(l!=
NULL))
1703 int i=l->
e->start-1;
1706 Werror(
"index[%d] must be positive",i+1);
1731 memset(&(li->
m[li->
nr+1]),0,(i-li->
nr)*
sizeof(
sleftv));
1741 memset(&tmp,0,
sizeof(
sleftv));
1744 && (ld->
Typ()!=r->
Typ()))
1749 memcpy(ld,&tmp,
sizeof(
sleftv));
1751 else if ((ld->
e==
NULL)
1759 memcpy(ld,&tmp,
sizeof(
sleftv));
1764 if (l->
e!=
NULL) l->
e->next=ld->
e;
1787 }
while ((!b)&&(l!=
NULL));
1840 if(bb->blackbox_CheckAssign(bb,l,r))
return TRUE;
1843 if((!b) && (like_lists==2))
1867 #ifdef BLACKBOX_DEVEL 1868 Print(
"bb-assign: bb=%lx\n",bb);
1870 return (bb==
NULL) || bb->blackbox_Assign(l,r);
1958 Werror(
"length of lists in assignment does not match (l:%d,r:%d)",
1993 WerrorS(
"expected ring-name");
1999 WerrorS(
"expected image ideal");
2019 char *pr=((
map)olm)->preimage;
2031 num=olm->
cols()*rk ;
2036 Warn(
"expression list length(%d) does not match matrix size(%d)",el,num);
2086 for(k=0;k<
j;k++,i++)
2109 if (module_assign) lm->rank=rk;
2110 else if (map_assign) ((
map)lm)->preimage=pr;
2128 Werror(
"cannot assign to %s",l->Fullname());
2146 ideal I0=(ideal)I->
Data();
2191 char *vn=(
char *)v->
Name();
2198 WarnS(
"source and destination packages are identical");
2210 memset(&h_expr,0,
sizeof(h_expr));
2214 return iiAssign(&tmp_expr,&h_expr);
static BOOLEAN jiA_BIGINTMAT(leftv res, leftv a, Subexpr)
#define idPosConstant(I)
index of generator with leading term in ground ring (if any); otherwise -1
void * idrecDataInit(int t)
CanonicalForm map(const CanonicalForm &primElem, const Variable &alpha, const CanonicalForm &F, const Variable &beta)
map from to such that is mapped onto
static BOOLEAN jiA_MAP(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_INTVEC_L(leftv l, leftv r)
void id_Normalize(ideal I, const ring r)
normialize all polys in id
void ipMoveId(idhdl tomove)
const CanonicalForm int s
int iiTestConvert(int inputType, int outputType)
BOOLEAN jjIMPORTFROM(leftv, leftv u, leftv v)
void jjNormalizeQRingP(poly &p)
static void jiAssignAttr(leftv l, leftv r)
Class used for (list of) interpreter objects.
poly kNF(ideal F, ideal Q, poly p, int syzComp, int lazyReduce)
static BOOLEAN jjMAXDEG(leftv, leftv a)
static BOOLEAN jjA_L_INTVEC(leftv l, leftv r, intvec *iv)
#define idDelete(H)
delete an ideal
static BOOLEAN jiA_QRING(leftv res, leftv a, Subexpr e)
static BOOLEAN jiA_INT(leftv res, leftv a, Subexpr e)
static int si_min(const int a, const int b)
Compatiblity layer for legacy polynomial operations (over currRing)
BOOLEAN iiConvert(int inputType, int outputType, int index, leftv input, leftv output, const struct sConvertTypes *dConvertTypes)
int exprlist_length(leftv v)
lists syConvRes(syStrategy syzstr, BOOLEAN toDel, int add_row_shift)
#define omreallocSize(addr, o_size, size)
static BOOLEAN jiAssign_list(leftv l, leftv r)
static BOOLEAN jiA_NUMBER(leftv res, leftv a, Subexpr)
static BOOLEAN jiAssign_1(leftv l, leftv r, BOOLEAN toplevel)
bool nc_SetupQuotient(ring rGR, const ring rG=NULL, bool bCopy=false)
static BOOLEAN jjPRINTLEVEL(leftv, leftv a)
static FORCE_INLINE number n_Init(long i, const coeffs r)
a number representing i in the given coeff field/ring r
#define idSimpleAdd(A, B)
procinfo * iiInitSingularProcinfo(procinfov pi, const char *libname, const char *procname, int, long pos, BOOLEAN pstatic)
static short rVar(const ring r)
#define rVar(r) (r->N)
void id_Delete(ideal *h, ring r)
deletes an ideal/module/matrix
static BOOLEAN jjTRACE(leftv, leftv a)
static BOOLEAN jiA_PACKAGE(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_1x1MATRIX(leftv res, leftv a, Subexpr e)
static BOOLEAN jiA_LIST_RES(leftv res, leftv a, Subexpr)
static FORCE_INLINE void n_Normalize(number &n, const coeffs r)
inplace-normalization of n; produces some canonical representation of n;
void WerrorS(const char *s)
static BOOLEAN jiA_STRING(leftv res, leftv a, Subexpr e)
BOOLEAN piKill(procinfov pi)
char * String(BOOLEAN typed=FALSE)
static BOOLEAN jiA_MODUL_P(leftv res, leftv a, Subexpr)
#define pGetComp(p)
Component.
void set(int i, int j, number n, const coeffs C=NULL)
replace an entry with a copy (delete old + copy new!). NOTE: starts at [1,1]
static BOOLEAN jjA_L_BIGINTMAT(leftv l, leftv r, bigintmat *bim)
static BOOLEAN iiAssign_sys(leftv l, leftv r)
void killhdl2(idhdl h, idhdl *ih, ring r)
const struct sValAssign_sys dAssign_sys[]
#define TEST_V_ASSIGN_NONE
static BOOLEAN jiA_CRING(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_INTVEC(leftv res, leftv a, Subexpr)
poly p_PermPoly(poly p, const int *perm, const ring oldRing, const ring dst, nMapFunc nMap, const int *par_perm, int OldPar, BOOLEAN use_mult)
Coefficient rings, fields and other domains suitable for Singular polynomials.
static BOOLEAN jjTIMER(leftv, leftv a)
static si_link slCopy(si_link l)
static BOOLEAN jjCOLMAX(leftv, leftv a)
static FORCE_INLINE BOOLEAN nCoeff_is_algExt(const coeffs r)
TRUE iff r represents an algebraic extension field.
const struct sValAssign dAssign[]
static BOOLEAN rIsPluralRing(const ring r)
we must always have this test!
The main handler for Singular numbers which are suitable for Singular polynomials.
BOOLEAN slInit(si_link l, char *istr)
number(* nMapFunc)(number a, const coeffs src, const coeffs dst)
maps "a", which lives in src, into dst
static BOOLEAN jiA_VECTOR_L(leftv l, leftv r)
static BOOLEAN jjA_L_STRING(leftv l, leftv r)
static BOOLEAN jjRTIMER(leftv, leftv a)
static BOOLEAN jiA_BIGINT(leftv res, leftv a, Subexpr e)
static int si_max(const int a, const int b)
static FORCE_INLINE BOOLEAN nCoeff_is_transExt(const coeffs r)
TRUE iff r represents a transcendental extension field.
BOOLEAN assumeStdFlag(leftv h)
void PrintS(const char *s)
void rWrite(ring r, BOOLEAN details)
static BOOLEAN jjMINPOLY(leftv, leftv a)
static FORCE_INLINE BOOLEAN n_IsZero(number n, const coeffs r)
TRUE iff 'n' represents the zero element.
static FORCE_INLINE nMapFunc n_SetMap(const coeffs src, const coeffs dst)
set the mapping function pointers for translating numbers from src to dst
void idSkipZeroes(ideal ide)
gives an ideal/module the minimal possible size
static BOOLEAN jjMAXMULT(leftv, leftv a)
static BOOLEAN jiA_RING(leftv res, leftv a, Subexpr e)
#define BIMATELEM(M, I, J)
INLINE_THIS void Init(int l=0)
matrix mpNew(int r, int c)
create a r x c zero-matrix
int iiDeclCommand(leftv sy, leftv name, int lev, int t, idhdl *root, BOOLEAN isring, BOOLEAN init_b)
static void p_Delete(poly *p, const ring r)
ideal idInit(int idsize, int rank)
initialise an ideal / module
const Variable & v
< [in] a sqrfree bivariate poly
void jjNormalizeQRingId(leftv I)
poly p_MinPolyNormalize(poly p, const ring r)
void * atGet(idhdl root, const char *name, int t, void *defaultReturnValue)
static BOOLEAN jiA_STRING_L(leftv l, leftv r)
static BOOLEAN rField_is_Ring(const ring r)
static BOOLEAN jjECHO(leftv, leftv a)
static BOOLEAN jiAssign_rec(leftv l, leftv r)
void pEnlargeSet(poly **p, int l, int increment)
struct for passing initialization parameters to naInitChar
void rDelete(ring r)
unconditionally deletes fields in r
static BOOLEAN jiA_LINK(leftv res, leftv a, Subexpr)
const char * Tok2Cmdname(int tok)
used for all algebraic extensions, i.e., the top-most extension in an extension tower is algebraic ...
void killhdl(idhdl h, package proot)
static BOOLEAN jiA_PROC(leftv res, leftv a, Subexpr)
coeffs basecoeffs() const
static BOOLEAN jiA_MATRIX_L(leftv l, leftv r)
static BOOLEAN length(leftv result, leftv arg)
static BOOLEAN jjA_L_LIST(leftv l, leftv r)
static BOOLEAN p_IsConstantPoly(const poly p, const ring r)
static bool rIsSCA(const ring r)
void CleanUp(ring r=currRing)
void Clean(ring r=currRing)
ring currRing
Widely used global variable which specifies the current polynomial ring for Singular interpreter and ...
ideal idrCopyR(ideal id, ring src_r, ring dest_r)
static BOOLEAN jjSHORTOUT(leftv, leftv a)
static BOOLEAN jiA_1x1INTMAT(leftv res, leftv a, Subexpr e)
static BOOLEAN jjNOETHER(leftv, leftv a)
int idElem(const ideal F)
count non-zero elements
static FORCE_INLINE BOOLEAN nCoeff_is_Extension(const coeffs r)
static BOOLEAN jiA_LIST(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_IDEAL(leftv res, leftv a, Subexpr)
static FORCE_INLINE void n_Delete(number *p, const coeffs r)
delete 'p'
void p_Write(poly p, ring lmRing, ring tailRing)
void slCleanUp(si_link l)
static ideal idVec2Ideal(poly vec)
#define omFreeBin(addr, bin)
#define IMATELEM(M, I, J)
static BOOLEAN jiA_POLY(leftv res, leftv a, Subexpr e)
BOOLEAN lRingDependend(lists L)
void nKillChar(coeffs r)
undo all initialisations
static BOOLEAN jiA_RESOLUTION(leftv res, leftv a, Subexpr)
void Werror(const char *fmt,...)
static BOOLEAN jiA_MAP_ID(leftv res, leftv a, Subexpr)
void syKillComputation(syStrategy syzstr, ring r=currRing)
static BOOLEAN jiA_IDEAL_M(leftv res, leftv a, Subexpr)
intvec * ivAdd(intvec *a, intvec *b)
static FORCE_INLINE coeffs n_CoeffRingQuot1(number c, const coeffs r)
static BOOLEAN jiA_DEF(leftv res, leftv, Subexpr)
#define MATELEM(mat, i, j)
blackbox * getBlackboxStuff(const int t)
return the structure to the type given by t
coeffs nInitChar(n_coeffType t, void *parameter)
one-time initialisations for new coeffs in case of an error return NULL
static void jjMINPOLY_red(idhdl h)
BOOLEAN iiAssign(leftv l, leftv r, BOOLEAN toplevel)