11#define TRANSEXT_PRIVATES
73#ifdef HAVE_GETTIMEOFDAY
122 cf =
cf->extRing->cf;
170 Werror(
"type %d too complex...set minpoly before",
IDTYP(
h));
break;
181 WerrorS(
"cannot set minpoly for these coeffients");
187 WerrorS(
"only univariate minpoly allowed");
208 WerrorS(
"Could not construct the alg. extension: minpoly==0");
218 WarnS(
"denominator must be constant - ignoring it");
234 WerrorS(
"Could not construct the alg. extension: illegal minpoly?");
247 WarnS(
"Set minpoly over non-transcendental ground field to 0?!");
256 WarnS(
"Trying to set minpoly over non-transcendental ground field...");
259 WerrorS(
"cannot set minpoly for these coeffients");
266 WerrorS(
"only univarite minpoly allowed");
298 WarnS(
"minpoly is already 0...");
302 WarnS(
"cannot set minpoly to 0 / alg. extension?");
323 WerrorS(
"Could not construct the alg. extension: minpoly==0");
333 WarnS(
"denominator must be constant - ignoring it");
344 PrintS(
"\nTrying to conver the currRing into an algebraic field: ");
345 PrintS(
"Ground poly. ring: \n");
347 PrintS(
"\nGiven MinPOLY: ");
364 WerrorS(
"Could not construct the alg. extension: llegal minpoly?");
404 la=
rv->attribute->Copy();
430 Werror(
"index[%d] must be positive",
i+1);
450 int c=e->next->start;
451 if ((
i>=iv->
rows())||(c<1)||(c>iv->
cols()))
453 Werror(
"wrong range [%d,%d] in intmat %s(%d,%d)",
i+1,c,
res->Name(),iv->
rows(),iv->
cols());
510 Werror(
"index[%d] must be positive",
i+1);
516 WerrorS(
"only one index given");
521 int c=e->next->start;
522 if ((
i>=iv->rows())||(c<1)||(c>iv->cols()))
524 Werror(
"wrong range [%d,%d] in cmatrix %s(%d,%d)",
i+1,c,
res->Name(),iv->rows(),iv->cols());
527 else if (iv->basecoeffs()==n->cf)
555 WerrorS(
"no Ring avialable for conversion from int");
564 Werror(
"index[%d] must be positive",
i+1);
570 WerrorS(
"only one index given");
575 int c=e->next->start;
576 if ((
i>=iv->rows())||(c<1)||(c>iv->cols()))
578 Werror(
"wrong range [%d,%d] in cmatrix %s(%d,%d)",
i+1,c,
res->Name(),iv->rows(),iv->cols());
632 Werror(
"index[%d] must be positive",
i+1);
679 Werror(
"index[%d] must be positive",
i+1);
685 WerrorS(
"only one index given");
693 if ((
i>=iv->
rows())||(c<1)||(c>iv->
cols()))
695 Werror(
"wrong range [%d,%d] in bigintmat/bigintvec %s(%d,%d)",
i+1,c,
res->Name(),iv->
rows(),iv->
cols());
766 Werror(
"index[%d] must be positive",
j);
806 if ((am->
rows()!=1) || (am->
cols()!=1))
815 int j=e->next->start;
838 int j=e->next->start;
857 char *
s=(
char *)
res->data;
858 if ((e->start>0)&&(e->start<=(
int)
strlen(
s)))
859 s[e->start-1]=(
char)(*((
char *)a->
Data()));
862 Werror(
"string index %d out of range 1..%d",e->start,(
int)
strlen(
s));
871 const char *procname,
int line,
915 for(
int i=0;
i<
b->cols();
i++)
919 res->data=(
void *)iv;
942 res->data=(
void*)bim;
1001 res->data=(
void *)
I;
1021 res->data=(
void *)
m;
1035 Werror(
"rank of module is %ld in assignment to ideal",
m->rank);
1042 res->data=(
void *)
m;
1061 res->data = (
void *)
l;
1091 char *
rn=
f->preimage;
1145 for(
i=
qr->N;
i>0;
i--)
1186 Warn(
"%s is no twosided standard basis",a->
Name());
1225 if (e==
NULL)
res->data=(
char *)r;
1244 res->data=(
void *)0;
1261#define NULL_VAL NULL
1285 WarnS(
"right side is not a datum, assignment ignored");
1317 else if (
l->name!=
NULL)
1346 WerrorS(
"error in assign: left side is not an l-value");
1352#ifdef BLACKBOX_DEVEL
1353 Print(
"bb-assign: bb=%lx\n",
bb);
1355 return (
bb==
NULL) ||
bb->blackbox_Assign(
l,r);
1377 l->attribute=
ld->attribute;
1414 l->attribute=
ld->attribute;
1426 Werror(
"`%s`(%s) = `%s` is not supported",
1429 Werror(
"`%s` = `%s` is not supported"
1438 Werror(
"expected `%s` = `%s`"
1506 Werror(
"`%s` = `%s` is not supported"
1515 Werror(
"expected `%s` = `%s`"
1537 t.
data=(
char *)(
long)(*iv)[
i];
1619 Werror(
"`%s` is undefined",
h->Fullname());
1667 Warn(
"expression list length(%d) does not match intmat size(%d)",
1674 (*iv)[
i++] = (
int)((
long)(
hh->Data()));
1683 (*iv)[
i++] = (*ivv)[
ll++];
1717 Warn(
"expression list length(%d) does not match bigintmat size(%d x %d)",
1767 Warn(
"expression list length(%d) does not match bigintvec size(%d)",
1816 t=(
char *)
hh->Data();
1869 WarnS(
"list length mismatch in assign (l>r)");
1876 WarnS(
"list length mismatch in assign (l<r)");
1914 char *
s=(
char *)r->
Data();
1919 while ((
i<sl)&&(
l!=
NULL))
1941 int i=
l->e->start-1;
1944 Werror(
"index[%d] must be positive",
i+1);
1947 if(
l->attribute!=
NULL)
1982 && (
ld->Typ()!=r->
Typ()))
1992 && (
ld->Typ()==r->
Typ())
2029 }
while ((!
b)&&(
l!=
NULL));
2037 int ll=
l->listLength();
2045 Werror(
"`%s` is read-only",
l->Name());
2056 else if (
l->attribute!=
NULL)
2083 if(
bb->blackbox_CheckAssign(
bb,
l,r))
return TRUE;
2110#ifdef BLACKBOX_DEVEL
2111 Print(
"bb-assign: bb=%lx\n",
bb);
2113 return (
bb==
NULL) ||
bb->blackbox_Assign(
l,r);
2203 Werror(
"length of lists in assignment does not match (l:%d,r:%d)",
2242 WerrorS(
"expected ring-name");
2248 WerrorS(
"expected image ideal");
2285 Warn(
"expression list length(%d) does not match matrix size(%d)",
el,
num);
2341 for(
k=0;
k<
j;
k++,
i++)
2384 Werror(
"cannot assign to %s",
l->Fullname());
2438 poly p2=
kNF(F,r->qideal,
p);
2451 char *
vn=(
char *)
v->Name();
2458 WarnS(
"source and destination packages are identical");
2478 Werror(
"`%s` not found in `%s`",
v->Name(), u->
Name());
struct for passing initialization parameters to naInitChar
void * atGet(idhdl root, const char *name, int t, void *defaultReturnValue)
static int si_max(const int a, const int b)
static int si_min(const int a, const int b)
#define BIMATELEM(M, I, J)
blackbox * getBlackboxStuff(const int t)
return the structure to the type given by t
CanonicalForm map(const CanonicalForm &primElem, const Variable &alpha, const CanonicalForm &F, const Variable &beta)
map from to such that is mapped onto
coeffs basecoeffs() const
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]
idhdl get(const char *s, int lev)
Class used for (list of) interpreter objects.
void CleanUp(ring r=currRing)
void Clean(ring r=currRing)
INLINE_THIS void Init(int l=0)
Coefficient rings, fields and other domains suitable for Singular polynomials.
static FORCE_INLINE coeffs n_CoeffRingQuot1(number c, const coeffs r)
static FORCE_INLINE long n_Int(number &n, const coeffs r)
conversion of n to an int; 0 if not possible in Z/pZ: the representing int lying in (-p/2 ....
static FORCE_INLINE number n_Copy(number n, const coeffs r)
return a copy of 'n'
static FORCE_INLINE BOOLEAN nCoeff_is_Extension(const coeffs r)
@ n_algExt
used for all algebraic extensions, i.e., the top-most extension in an extension tower is algebraic
static FORCE_INLINE nMapFunc n_SetMap(const coeffs src, const coeffs dst)
set the mapping function pointers for translating numbers from src to dst
coeffs nInitChar(n_coeffType t, void *parameter)
one-time initialisations for new coeffs in case of an error return NULL
static FORCE_INLINE BOOLEAN n_IsZero(number n, const coeffs r)
TRUE iff 'n' represents the zero element.
static FORCE_INLINE void n_Delete(number *p, const coeffs r)
delete 'p'
static FORCE_INLINE number n_Init(long i, const coeffs r)
a number representing i in the given coeff field/ring r
static FORCE_INLINE BOOLEAN nCoeff_is_algExt(const coeffs r)
TRUE iff r represents an algebraic extension field.
number(* nMapFunc)(number a, const coeffs src, const coeffs dst)
maps "a", which lives in src, into dst
static FORCE_INLINE void n_Normalize(number &n, const coeffs r)
inplace-normalization of n; produces some canonical representation of n;
void nKillChar(coeffs r)
undo all initialisations
static FORCE_INLINE BOOLEAN nCoeff_is_transExt(const coeffs r)
TRUE iff r represents a transcendental extension field.
const CanonicalForm int s
const Variable & v
< [in] a sqrfree bivariate poly
void WerrorS(const char *s)
VAR char my_yylinebuf[80]
int iiTestConvert(int inputType, int outputType)
const char * Tok2Cmdname(int tok)
static int RingDependend(int t)
#define idDelete(H)
delete an ideal
#define idSimpleAdd(A, B)
static ideal idVec2Ideal(poly vec)
#define idPosConstant(I)
index of generator with leading term in ground ring (if any); otherwise -1
static BOOLEAN length(leftv result, leftv arg)
intvec * ivAdd(intvec *a, intvec *b)
#define IMATELEM(M, I, J)
static BOOLEAN jiA_1x1INTMAT(leftv res, leftv a, Subexpr e)
static BOOLEAN jjA_L_BIGINTVEC(leftv l, leftv r, bigintmat *bim)
static BOOLEAN jiA_INTVEC(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_IDEAL_Mo(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_MATRIX_L(leftv l, leftv r)
static BOOLEAN jiA_PACKAGE(leftv res, leftv a, Subexpr)
void jjNormalizeQRingId(leftv I)
static BOOLEAN jiA_1x1MATRIX(leftv res, leftv a, Subexpr e)
static BOOLEAN jiA_INTVEC_BI(leftv res, leftv a, Subexpr)
static ring jjCheck_FLAG_OTHER_RING(leftv res)
static BOOLEAN jjPRINTLEVEL(leftv, leftv a)
static BOOLEAN jjMINPOLY(leftv, leftv a)
static BOOLEAN jjTRACE(leftv, leftv a)
static BOOLEAN jiA_VECTOR_L(leftv l, leftv r)
static BOOLEAN jiA_BIGINT(leftv res, leftv a, Subexpr e)
static BOOLEAN iiAssign_sys(leftv l, leftv r)
static BOOLEAN jiA_POLY(leftv res, leftv a, Subexpr e)
static BOOLEAN jjCOLMAX(leftv, leftv a)
static BOOLEAN jiAssign_rec(leftv l, leftv r)
static BOOLEAN jjECHO(leftv, leftv a)
poly jj_NormalizeQRingP(poly p, const ring r)
static BOOLEAN jiAssign_1(leftv l, leftv r, int rt, BOOLEAN toplevel, BOOLEAN is_qring=FALSE)
static BOOLEAN jiA_BUCKET(leftv res, leftv a, Subexpr e)
static BOOLEAN jiA_RESOLUTION(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_CRING(leftv res, leftv a, Subexpr)
static BOOLEAN jjMAXDEG(leftv, leftv a)
static BOOLEAN jjA_L_LIST(leftv l, leftv r)
static void jiAssignAttr(leftv l, leftv r)
BOOLEAN jjIMPORTFROM(leftv, leftv u, leftv v)
static BOOLEAN jjRTIMER(leftv, leftv a)
static BOOLEAN jiA_RING(leftv res, leftv a, Subexpr e)
static BOOLEAN jiA_MAP(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_INT(leftv res, leftv a, Subexpr e)
static BOOLEAN jiA_STRING_L(leftv l, leftv r)
static BOOLEAN jjA_L_BIGINTMAT(leftv l, leftv r, bigintmat *bim)
static void jjMINPOLY_red(idhdl h)
static BOOLEAN jiA_DEF(leftv res, leftv, Subexpr)
static BOOLEAN jiA_IDEAL(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_MODUL_P(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_BIGINTMAT(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_NUMBER(leftv res, leftv a, Subexpr)
static BOOLEAN jiAssign_list(leftv l, leftv r)
static BOOLEAN jjA_L_STRING(leftv l, leftv r)
static BOOLEAN jiA_LIST_RES(leftv res, leftv a, Subexpr)
coeffs jjSetMinpoly(coeffs cf, number a)
static BOOLEAN jiA_LINK(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_MAP_ID(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_STRING(leftv res, leftv a, Subexpr e)
static BOOLEAN jjSHORTOUT(leftv, leftv a)
static BOOLEAN jjNOETHER(leftv, leftv a)
BOOLEAN iiAssign(leftv l, leftv r, BOOLEAN toplevel)
static BOOLEAN jiA_IDEAL_M(leftv res, leftv a, Subexpr)
static BOOLEAN jiA_INTVEC_L(leftv l, leftv r)
static BOOLEAN jiA_QRING(leftv res, leftv a, Subexpr e)
static BOOLEAN jiA_LIST(leftv res, leftv a, Subexpr)
static BOOLEAN jjMAXMULT(leftv, leftv a)
static BOOLEAN jjTIMER(leftv, leftv a)
static BOOLEAN jiA_BIGINTVEC_IV(leftv res, leftv a, Subexpr)
static BOOLEAN jjA_L_INTVEC(leftv l, leftv r, intvec *iv)
static BOOLEAN jiA_PROC(leftv res, leftv a, Subexpr)
BOOLEAN iiConvert(int inputType, int outputType, int index, leftv input, leftv output, const struct sConvertTypes *dConvertTypes)
void killhdl2(idhdl h, idhdl *ih, ring r)
void killhdl(idhdl h, package proot)
void * idrecDataInit(int t)
void ipMoveId(idhdl tomove)
BOOLEAN piKill(procinfov pi)
EXTERN_VAR omBin sleftv_bin
#define jjNormalizeQRingP(p)
procinfo * iiInitSingularProcinfo(procinfov pi, const char *libname, const char *procname, int, long pos, BOOLEAN pstatic)
int iiDeclCommand(leftv sy, leftv name, int lev, int t, idhdl *root, BOOLEAN isring, BOOLEAN init_b)
int exprlist_length(leftv v)
lists syConvRes(syStrategy syzstr, BOOLEAN toDel, int add_row_shift)
poly kNF(ideal F, ideal Q, poly p, int syzComp, int lazyReduce)
static bool rIsSCA(const ring r)
bool nc_SetupQuotient(ring rGR, const ring rG=NULL, bool bCopy=false)
BOOLEAN lRingDependend(lists L)
poly p_MinPolyNormalize(poly p, const ring r)
matrix mpNew(int r, int c)
create a r x c zero-matrix
#define MATELEM(mat, i, j)
1-based access to matrix
#define SMATELEM(A, i, j, R)
The main handler for Singular numbers which are suitable for Singular polynomials.
#define omreallocSize(addr, o_size, size)
#define omFreeBin(addr, bin)
#define omFreeBinAddr(addr)
#define TEST_V_ASSIGN_NONE
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)
void p_Normalize(poly p, const ring r)
void pEnlargeSet(poly **p, int l, int increment)
void p_Write(poly p, ring lmRing, ring tailRing)
static BOOLEAN p_IsConstant(const poly p, const ring r)
static void p_Delete(poly *p, const ring r)
void rChangeCurrRing(ring r)
VAR ring currRing
Widely used global variable which specifies the current polynomial ring for Singular interpreter and ...
Compatibility layer for legacy polynomial operations (over currRing)
#define pGetComp(p)
Component.
ideal idrCopyR(ideal id, ring src_r, ring dest_r)
void PrintS(const char *s)
void Werror(const char *fmt,...)
void rWrite(ring r, BOOLEAN details)
void rDelete(ring r)
unconditionally deletes fields in r
static BOOLEAN rIsPluralRing(const ring r)
we must always have this test!
static ring rIncRefCnt(ring r)
static void rDecRefCnt(ring r)
static short rVar(const ring r)
#define rVar(r) (r->N)
#define rField_is_Ring(R)
void sBucketDestroyAdd(sBucket_pt bucket, poly *p, int *length)
void slCleanUp(si_link l)
BOOLEAN slInit(si_link l, char *istr)
static si_link slCopy(si_link l)
ideal idInit(int idsize, int rank)
initialise an ideal / module
void id_Delete(ideal *h, ring r)
deletes an ideal/module/matrix
void id_Normalize(ideal I, const ring r)
normialize all polys in id
void idSkipZeroes(ideal ide)
gives an ideal/module the minimal possible size
void id_Shift(ideal M, int s, const ring r)
static int idElem(const ideal F)
number of non-zero polys in F
BOOLEAN assumeStdFlag(leftv h)
void syKillComputation(syStrategy syzstr, ring r=currRing)
const struct sValAssign dAssign[]
const struct sValAssign_sys dAssign_sys[]
VAR omBin fractionObjectBin