18 #define TRANSEXT_PRIVATES 80 #ifdef HAVE_GETTIMEOFDAY 116 #if HAVE_CAN_SHORT_OUT 128 cf->extRing->ShortOut = shortOut;
130 cf = cf->extRing->cf;
142 number n=(number)
IDDATA(h);
143 number one =
nInit(1);
144 number nn=
nMult(n,one);
178 Werror(
"type %d too complex...set minpoly before",
IDTYP(h));
break;
186 WarnS(
"Set minpoly over non-transcendental ground field to 0?!");
195 WarnS(
"Trying to set minpoly over non-transcendental ground field...");
198 WerrorS(
"cannot set minpoly for these coeffients");
205 WerrorS(
"only univarite minpoly allowed");
215 WarnS(
"no minpoly allowed if there are local objects belonging to the basering: ");
236 WarnS(
"minpoly is already 0...");
240 WarnS(
"cannot set minpoly to 0 / alg. extension?");
248 Warn(
"killing a local object due to minpoly change: %s",
IDID(
currRing->idroot));
259 if ((p==
NULL) ||(NUM((fraction)p)==
NULL))
261 WerrorS(
"Could not construct the alg. extension: minpoly==0");
266 if (DEN((fraction)(p)) !=
NULL)
268 poly z=NUM((fraction)p);
269 poly n=DEN((fraction)(p));
272 DEN((fraction)(p))=
NULL;
276 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: ");
293 NUM((fractionObject *)p) =
NULL;
302 WerrorS(
"Could not construct the alg. extension: llegal minpoly?");
367 Werror(
"index[%d] must be positive",i+1);
376 (*iv1)[
i]=(int)((
long)(a->
Data()));
380 res->
data=(
void *)ivn;
383 (*iv)[
i]=(int)((
long)(a->
Data()));
387 int c=e->next->start;
388 if ((i>=iv->
rows())||(c<1)||(c>iv->
cols()))
390 Werror(
"wrong range [%d,%d] in intmat %s(%d,%d)",i+1,c,res->
Name(),iv->
rows(),iv->
cols());
416 number2 nn=(number2)res->
data;
427 Werror(
"index[%d] must be positive",i+1);
433 WerrorS(
"only one index given");
438 int c=e->next->start;
439 if ((i>=iv->
rows())||(c<1)||(c>iv->
cols()))
441 Werror(
"wrong range [%d,%d] in cmatrix %s(%d,%d)",i+1,c,res->
Name(),iv->
rows(),iv->
cols());
465 number2 nn=(number2)res->
data;
472 WerrorS(
"no Ring avialable for conversion from int");
481 Werror(
"index[%d] must be positive",i+1);
487 WerrorS(
"only one index given");
492 int c=e->next->start;
493 if ((i>=iv->
rows())||(c<1)||(c>iv->
cols()))
495 Werror(
"wrong range [%d,%d] in cmatrix %s(%d,%d)",i+1,c,res->
Name(),iv->
rows(),iv->
cols());
513 number2 nn=(number2)res->
data;
516 number2 n=(number2)
omAlloc(
sizeof(*n));
530 WerrorS(
"no (c)ring avialable for conversion from number");
539 Werror(
"index[%d] must be positive",i+1);
545 WerrorS(
"only one index given");
550 int c=e->next->start;
551 if ((i>=iv->
rows())||(c<1)||(c>iv->
cols()))
553 Werror(
"wrong range [%d,%d] in cmatrix %s(%d,%d)",i+1,c,res->
Name(),iv->
rows(),iv->
cols());
584 Werror(
"index[%d] must be positive",i+1);
590 WerrorS(
"only one index given");
595 int c=e->next->start;
596 if ((i>=iv->
rows())||(c<1)||(c>iv->
cols()))
598 Werror(
"wrong range [%d,%d] in bigintmat %s(%d,%d)",i+1,c,res->
Name(),iv->
rows(),iv->
cols());
615 int add_row_shift = 0;
617 if (weights!=
NULL) add_row_shift=weights->
min_in();
666 Werror(
"index[%d] must be positive",j);
697 if ((am->
rows()!=1) || (am->
cols()!=1))
706 int j=e->next->start;
728 int j=e->next->start;
740 void* tmp = res->
data;
747 char *
s=(
char *)res->
data;
748 if ((e->start>0)&&(e->start<=(int)strlen(s)))
749 s[e->start-1]=(char)(*((
char *)a->
Data()));
752 Werror(
"string index %d out of range 1..%d",e->start,(
int)strlen(s));
761 const char *procname,
int line,
873 res->
data = (
void *) l;
902 char *rn=f->preimage;
920 ring old_ring=(ring)res->
Data();
923 ideal
id = (ideal)a->
Data();
937 if ( qr->cf != newcf )
958 for(i = 0, j = 0; i<
IDELEMS(
id); i++)
994 Warn(
"%s is no twosided standard basis",a->
Name());
1021 ring
r=(ring)a->
Data();
1052 res->
data=(
void *)0;
1067 #define NULL_VAL NULL 1090 WarnS(
"right side is not a datum, assignment ignored");
1118 memcpy(l,&ll,
sizeof(
sleftv));
1139 WerrorS(
"error in assign: left side is not an l-value");
1145 #ifdef BLACKBOX_DEVEL 1146 Print(
"bb-assign: bb=%lx\n",bb);
1148 return (bb==
NULL) || bb->blackbox_Assign(l,r);
1213 Werror(
"`%s`(%s) = `%s` is not supported",
1216 Werror(
"`%s` = `%s` is not supported" 1225 Werror(
"expected `%s` = `%s`" 1293 Werror(
"`%s` = `%s` is not supported" 1302 Werror(
"expected `%s` = `%s`" 1320 memset(&t,0,
sizeof(
sleftv));
1322 while ((i<iv->length())&&(l!=
NULL))
1324 t.
data=(
char *)(
long)(*iv)[
i];
1329 if (nok)
return TRUE;
1348 memset(&t,0,
sizeof(
sleftv));
1356 t.
data=(
char *)I->m[i];
1454 Warn(
"expression list length(%d) does not match intmat size(%d)",
1461 (*iv)[i++] = (int)((
long)(hh->
Data()));
1470 (*iv)[i++] = (*ivv)[ll++];
1504 Warn(
"expression list length(%d) does not match bigintmat size(%d x %d)",
1517 bim->
set(i++, (number)(hh->
Data()));
1556 sl += strlen((
char *)hh->
Data());
1564 t=(
char *)hh->
Data();
1585 memset(&t,0,
sizeof(
sleftv));
1591 while ((i<mxn )&&(l!=
NULL))
1593 t.
data=(
char *)m->
m[i];
1617 Warn(
"list length mismatch in assign (l>r)");
1624 Warn(
"list length mismatch in assign (l<r)");
1662 char *
s=(
char *)r->
Data();
1665 memset(&t,0,
sizeof(
sleftv));
1667 while ((i<sl)&&(l!=
NULL))
1689 int i=l->
e->start-1;
1692 Werror(
"index[%d] must be positive",i+1);
1717 memset(&(li->
m[li->
nr+1]),0,(i-li->
nr)*
sizeof(
sleftv));
1728 && (ld->
Typ()!=r->
Typ()))
1731 memset(&tmp,0,
sizeof(
sleftv));
1735 memcpy(ld,&tmp,
sizeof(
sleftv));
1737 else if ((ld->
e==
NULL)
1742 memset(&tmp,0,
sizeof(
sleftv));
1747 memcpy(ld,&tmp,
sizeof(
sleftv));
1752 if (l->
e!=
NULL) l->
e->next=ld->
e;
1775 }
while ((!b)&&(l!=
NULL));
1828 if(bb->blackbox_CheckAssign(bb,l,r))
return TRUE;
1831 if((!b) && (like_lists==2))
1855 #ifdef BLACKBOX_DEVEL 1856 Print(
"bb-assign: bb=%lx\n",bb);
1858 return (bb==
NULL) || bb->blackbox_Assign(l,r);
1946 Werror(
"length of lists in assignment does not match (l:%d,r:%d)",
1982 WerrorS(
"expected ring-name");
1988 WerrorS(
"expected image ideal");
2004 char *pr=((
map)olm)->preimage;
2016 num=olm->
cols()*rk ;
2021 Warn(
"expression list length(%d) does not match matrix size(%d)",el,num);
2071 for(k=0;k<
j;k++,i++)
2094 if (module_assign) lm->
rank=rk;
2095 else if (map_assign) ((
map)lm)->preimage=pr;
2113 Werror(
"cannot assign to %s",l->Fullname());
2131 ideal I0=(ideal)I->
Data();
2176 char *vn=(
char *)v->
Name();
2183 WarnS(
"source and destination packages are identical");
2195 memset(&h_expr,0,
sizeof(h_expr));
2199 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)
procinfo * iiInitSingularProcinfo(procinfov pi, const char *libname, const char *procname, int line, long pos, BOOLEAN pstatic)
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)
void n2Delete(number2 &d)
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)
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_NUMBER2_N(leftv res, leftv a, Subexpr e)
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)
static number & pGetCoeff(poly p)
return an alias to the leading coefficient of p assumes that p != NULL NOTE: not copy ...
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)
ring currRing
Widely used global variable which specifies the current polynomial ring for Singular interpreter and ...
void killhdl2(idhdl h, idhdl *ih, ring r)
const struct sValAssign_sys dAssign_sys[]
static number2 n2Init(long i, coeffs c)
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 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)
static poly p_Mult_nn(poly p, number n, const ring r)
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 jiA_CRING(leftv res, leftv a, Subexpr e)
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 jjA_L_LIST(leftv l, leftv r)
static bool rIsSCA(const ring r)
void CleanUp(ring r=currRing)
void Clean(ring r=currRing)
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)
static BOOLEAN jiA_NUMBER2(leftv res, leftv a, Subexpr e)
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 BOOLEAN jiA_NUMBER2_I(leftv res, leftv a, Subexpr e)
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)
si_link slCopy(si_link l)
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)