13#include "factory/factory.h"
92 #define NC_MASK (3+64)
98#define ZERODIVISOR_MASK 8
104#define NO_ZERODIVISOR 8
105#define ALLOW_ZERODIVISOR 0
108#define ALLOW_NC ALLOW_LP|ALLOW_PLURAL
110#define ALLOW_ZZ (ALLOW_RING|NO_ZERODIVISOR)
116#define NO_CONVERSION 32
120#define bit31 SIZEOF_LONG*8-1
216#define ii_div_by_0 "div. by 0"
225 if ((
long)
i==
l)
return l;
255 res->data=(
char *)
cc;
272 res->data=(
char *)
cc;
282 int bb = (
int)(
long)(
v->Data());
286 case '+': (*aa) +=
bb;
break;
287 case '-': (*aa) -=
bb;
break;
288 case '*': (*aa) *=
bb;
break;
291 case '%': (*aa) %=
bb;
break;
293 res->data=(
char *)
aa;
303 int bb = (
int)(
long)(
v->Data());
312 res->data=(
char *)
aa;
321 int l=(
int)(
long)
v->Data();
327 for(
i=
l-1;
i>=0;
i--) { (*vv)[
i]=d; }
328 res->data=(
char *)
vv;
346 res->data = (
char *) (r<0);
349 res->data = (
char *) (r>0);
352 res->data = (
char *) (r<=0);
355 res->data = (
char *) (r>=0);
359 res->data = (
char *) (r==0);
363 if(r==-2) {
WerrorS(
"size incompatible");
return TRUE; }
375 res->data = (
char *) (r<0);
378 res->data = (
char *) (r>0);
381 res->data = (
char *) (r<=0);
384 res->data = (
char *) (r>=0);
389 res->data = (
char *) (r==0);
393 if(r==-2) {
WerrorS(
"size incompatible");
return TRUE; }
399 int b = (
int)(
long)(
v->Data());
404 res->data = (
char *) (r<0);
407 res->data = (
char *) (r>0);
410 res->data = (
char *) (r<=0);
413 res->data = (
char *) (r>=0);
417 res->data = (
char *) (r==0);
432 res->data = (
char *) (
long)(r < 0);
435 res->data = (
char *) (
long)(r > 0);
438 res->data = (
char *) (
long)(r <= 0);
441 res->data = (
char *) (
long)(r >= 0);
445 res->data = (
char *)(
long) (r == 0);
453 poly
p=(poly)u->
Data();
454 poly q=(poly)
v->Data();
459 res->data = (
char *) (r < 0);
462 res->data = (
char *) (r > 0);
465 res->data = (
char *) (r <= 0);
468 res->data = (
char *) (r >= 0);
480 char* a = (
char * )(u->
Data());
481 char*
b = (
char * )(
v->Data());
513 else if (
v->Next()!=
NULL)
524 long e=(
long)
v->Data();
533 else if ((e==0)||(
b==1))
555 WarnS(
"int overflow(^), result may be wrong");
557 res->data = (
char *)rc;
563 WerrorS(
"exponent must be non-negative");
569 int e=(
int)(
long)
v->Data();
577 WerrorS(
"exponent must be non-negative");
585 int e=(
int)(
long)
v->Data();
606 WerrorS(
"exponent must be non-negative");
615 Werror(
"OVERFLOW in power(d=%ld, e=%d, max=%ld)",
658 res->data =
v->CopyD();
659 res->rtyp =
v->Typ();
701 const char *c=u->
name+1;
707 Print(
"%s of type 'ANY'. Trying load.\n", u->
name);
723 package pa=(package)u->Data();
737 WerrorS(
"reserved name with ::");
749 WerrorS(
"<package>::<id> expected");
756 unsigned long a=(
unsigned long)u->
Data();
757 unsigned long b=(
unsigned long)
v->Data();
759 res->data = (
char *)((
long)c);
762 WarnS(
"int overflow(+), result may be wrong");
808 WerrorS(
"intmat size not compatible");
818 WerrorS(
"bigintmat/cmatrix not compatible");
829 Werror(
"matrix size not compatible(%dx%d, %dx%d)",
841 Werror(
"matrix size not compatible(%dx%d, %dx%d)",
864 char* a = (
char * )(u->
Data());
865 char*
b = (
char * )(
v->Data());
879 void *
ap=u->
Data();
void *bp=
v->Data();
883 unsigned long a=(
unsigned long)
ap;
884 unsigned long b=(
unsigned long)bp;
888 WarnS(
"int overflow(-), result may be wrong");
890 res->data = (
char *)
cc;
936 WerrorS(
"intmat size not compatible");
946 WerrorS(
"bigintmat/cmatrix not compatible");
957 Werror(
"matrix size not compatible(%dx%d, %dx%d)",
970 Werror(
"matrix size not compatible(%dx%d, %dx%d)",
981 long c=(
long)((
unsigned long)a * (
unsigned long)
b);
983 if ((a!=0)&&(c/a!=
b))
984 WarnS(
"int overflow(*), result may be wrong");
985 res->data = (
char *)c;
1002 res->data=(
char *)n;
1021 Warn(
"possible OVERFLOW in mult(d=%ld, d=%ld, max=%ld)",
1034 Warn(
"possible OVERFLOW in mult(d=%ld, d=%ld, max=%ld)",
1066 WerrorS(
"intmat size not compatible");
1078 WerrorS(
"bigintmat/cmatrix not compatible");
1092 res->data = (
char *)
I;
1105 res->data = (
char *)
I;
1114 res->data = (
char *)
I;
1143 Werror(
"matrix size not compatible(%dx%d, %dx%d) in *",
1157 Werror(
"matrix size not compatible(%dx%d, %dx%d) in *",
1174 res->data = (
char *)(
long)((
int)((
long)u->
Data()) >= (
int)((
long)
v->Data()));
1192 res->data = (
char *)(
long)((
int)((
long)u->
Data()) > (
int)((
long)
v->Data()));
1206 res->data = (
char *)(
long)((
int)((
long)u->
Data()) <= (
int)((
long)
v->Data()));
1219 res->data = (
char *)(
long)((
int)((
long)u->
Data()) < (
int)((
long)
v->Data()));
1244 r=((a-c) /
b);
break;
1246 res->data=(
void *)r;
1259 res->data = (
char *)q;
1272 res->data = (
char *)q;
1277 poly q=(poly)
v->Data();
1278 poly
p=(poly)(u->
Data());
1295 poly q=(poly)
v->Data();
1319 res->data=(
char *)
mm;
1348 res->data = (
char *)(
long)(u->
Data()==
v->Data());
1360 poly
p=(poly)u->
Data();
1361 poly q=(poly)
v->Data();
1381 res->data = (
char *)((
long)u->
Data() && (
long)
v->Data());
1386 res->data = (
char *)((
long)u->
Data() || (
long)
v->Data());
1415 WerrorS(
"indexed object must have a name");
1426 t.
data=(
char *)((
long)(*iv)[
i]);
1449 poly
p=(poly)u->
Data();
1489 poly
p=(poly)u->
Data();
1513 res->data=(
char *)r;
1518 poly
p=(poly)u->
Data();
1519 int i=(
int)(
long)
v->Data();
1554 res->data=(
char *)r;
1612 while (
h->next!=
NULL)
h=
h->next;
1647 if (sl)
return TRUE;
1689 for(
i=
rl-1;
i>=0;
i--)
1696 for(
i=
rl-1;
i>=0;
i--)
1702 res->data=(
char *)n;
1715 for(
i=
rl-1;
i>=0;
i--)
1721 for(
i=
rl-1;
i>=0;
i--)
1725 Werror(
"poly expected at pos %d",
i+1);
1726 for(
i=
rl-1;
i>=0;
i--)
1738 for(
i=
rl-1;
i>=0;
i--)
1751 for(
i=
rl-1;
i>=0;
i--)
1759 for(
i=
rl-1;
i>=0;
i--)
1781 int s=(
int)(
long)
v->Data();
1794 poly
p=(poly)
v->Data();
1801 poly
p=(poly)
v->Data();
1808 int i=
pVar((poly)
v->Data());
1844 res->data = (
char *)((
long)d);
1849 poly
p=(poly)u->
Data();
1855 res->data = (
char *)(d);
1858 res->data=(
char *)(
long)(-1);
1863 int pos=(
int)(
long)
v->Data();
1870 int pos=(
int)(
long)
v->Data();
1911 int i=
pVar((poly)
v->Data());
1922 int i=
pVar((poly)
v->Data());
1941 Warn(
"dim(%s,...) may be wrong because the mixed monomial ordering",
v->Name());
1970 res->data=(
char *)L;
2016 res->data=(
char *)L;
2023 int f0 = 1, f1 = 0,
g0 = 0,
g1 = 1, q, r;
2044 res->data=(
char *)L;
2054 res->data=(
char *)L;
2055 L->
m[0].
data=(
void *)r;
2069 if ((sw<0)||(sw>2))
fac_sw=1;
2082 l->m[0].data=(
void *)
f;
2084 l->m[1].data=(
void *)
v;
2085 res->data=(
void *)
l;
2090 res->data=(
void *)
f;
2103 res->data=(
void *)
p;
2130 res->data=(
void *)L;
2208 if (r->cf->extRing!=
NULL)
2210 r_par=r->cf->extRing->N;
2226 #ifdef HAVE_SHIFTBBA
2261 Print(
"// par nr %d: %s -> %s\n",
2301 char *what=(
char *)
v->Data();
2318 WerrorS(
"length for fres must not be negative");
2327 Warn(
"full resolution in a qring may be infinite, "
2331 char *
method = (
char *)
w->Data();
2340 WerrorS(
"wrong optional argument for fres");
2346 res->data = (
void *)r;
2354 w->data = (
char *)
"complete";
2376 res->data=(
char *)(
long)
p0;
2413 PrintS(
"// NOTE: computation of Hilbert series etc. is being\n");
2414 PrintS(
"// performed for generic fibre, that is, over Q\n");
2419 switch((
int)(
long)
v->Data())
2432 switch((
int)(
long)
v->Data())
2435 res->data=(
void *)iv;
2449 int i=
pVar((poly)
v->Data());
2461 WerrorS(
"variable must have weight 1");
2466 int i=
pVar((poly)
v->Data());
2483 WerrorS(
"variable must have weight 1");
2529 const int n = L->
nr;
assume (n >= 0);
2530 std::vector<ideal> V(n + 1);
2597 Werror(
"At least %d ncgen variables are needed for this computation.",
ul);
2634 char *
s=(
char *)u->
Data();
2639 WerrorS(
"invalid second argument");
2640 WerrorS(
"load(\"libname\" [,option]);");
2670 if ((*w_u).compare((
w_v))!=0)
2672 WarnS(
"incompatible weights");
2681 WarnS(
"wrong weights");
2720 poly q=(poly)
v->Data();
2726 poly
p=(poly)(u->
Data());
2744 char *
opt=(
char *)
v->Data();
2756 if(
strcmp(
l->m->type,
"ASCII")!=0)
2758 Werror(
"ASCII link required, not `%s`",
l->m->type);
2763 if (
l->name[0]!=
'\0')
2768 else opt=(
const char *)
v->Data();
2810 const char *
s=(
const char *)u->
Data();
2817 else WerrorS(
"name of newstruct must be longer than 1 character");
2823 int i=(
int)(
long)
v->Data();
2831 Werror(
"par number %d out of range 1..%d",
i,
p);
2841 WerrorS(
"basering must NOT be a qring!");
2861 WerrorS(
"basering must NOT be a qring!");
2881 WerrorS(
"basering must NOT be a qring!");
2901 WerrorS(
"basering must NOT be a qring!");
2923 const poly q = (poly)
b->Data();
2936 const poly
p = (poly)a->
Data();
2950 const poly q = (poly)
b->Data();
2955 const poly
p = (poly)a->
Data();
2960 for (
int i = 0;
i <
k;
i++)
2978 Werror(
"invalid number of iterations");
2991 res->data =
b->Data();
2992 res->rtyp =
b->rtyp;
2997 Werror(
"%s is not an opposite ring to current ring",a->
Fullname());
3010 res->rtyp = argtype;
3018 res->rtyp = argtype;
3026 res->rtyp = argtype;
3039 res->rtyp = argtype;
3044 WerrorS(
"unsupported type in oppose");
3062 WerrorS(
"expected prune_map(`module`,`smatrix`)`");
3072 WarnS(
"wrong weights");
3114 int j=(
int)(
long)
v->Data();
3115 if (
j-
i <0) {
WerrorS(
"invalid range for random");
return TRUE;}
3125 res->data =(
char *)(
long)rank;
3137 Werror(
"cannot read from `%s`",
s);
3167 WerrorS(
"length for res must not be negative");
3185 "full resolution in a qring may be infinite, setting max length to %d",
3221 WerrorS(
"`lres` not implemented for inhomogeneous input or qring");
3225 WarnS(
"the current implementation of `lres` may not work in the case of a single variable");
3235 (
"`kres` not implemented for inhomogeneous input or qring");
3247 (
"`hres` not implemented for inhomogeneous input or qring");
3268 res->data=(
void *)r;
3293 if(complete)
syFix(r);
3316 i = (
int)(
long)
v->Data();
3320 res->data = (
char*)
l;
3326 res->data = (
char *)r;
3339 res->data = (
char *)r;
3346 res->data = (
char *)r;
3349#define SIMPL_NORMALIZE 64
3350#define SIMPL_LMDIV 32
3351#define SIMPL_LMEQ 16
3358 int sw = (
int)(
long)
v->Data();
3389 res->data = (
char * )
id;
3411 l->m[0].data=(
void *)
f;
3413 l->m[1].data=(
void *)
v;
3414 res->data=(
void *)
l;
3419 res->data=(
void *)
f;
3432 res->data=(
void *)
p;
3453 int sw = (
int)(
long)
v->Data();
3464 res->data = (
char * )
p;
3504 poly
p=(poly)
v->Data();
3610 res->data = (
char *)S;
3617 for(
int i=0;
i<
vl;
i++)
3626 for(
int i=0;
i<
vl;
i++)
3670 int i=(
int)(
long)
v->Data();
3691 int t = (
int)(
long)
v->Data();
3701 res->data = (
void*)(
long)
i;
3749 res->data = (
void*)(
long)
ret;
3811 res->data = (
char *)n;
3816 res->data = (
char *)(-(
long)u->
Data());
3823 res->data = (
char *)n;
3841 res->data = (
char *)iv;
3848 res->data = (
char *)bim;
3887 l->m[0].data=(
void *)
m;
3888 l->m[1].data=(
void *)iv;
3889 res->data = (
char *)
l;
3955 res->data = (
char *)r->cf;
3965 res->data = (
char *)(
long)((
bigintmat*)(
v->Data()))->cols();
3970 res->data = (
char *)(
long)((
intvec*)(
v->Data()))->cols();
3978 res->data = (
char *)
p;
3989 res->data = (
char *)(
long)(
aa->rows()*
aa->cols());
4011 res->data = (
char *)(
long)((
intvec*)(
v->Data()))->length();
4022 extern int ipower (
int b,
int n );
4023 elems=
ipower(r->cf->ch,r->cf->extRing->pFDeg(r->cf->extRing->qideal->m[0],r->cf->extRing));
4025 res->data = (
char *)(
long)elems;
4031 poly
p=(poly)
v->Data();
4033 else res->data=(
char *)-1;
4044 res->data = (
char *)(
long)d;
4052 PrintS(
"// NOTE: computation of degree is being performed for\n");
4053 PrintS(
"// generic fibre, that is, over Q\n");
4071 else if (
v->rtyp!=0)
res->data=(
void *)(-1);
4103 i=
m->rows();
j=
m->cols();
4108 Werror(
"det of %d x %d bigintmat",
i,
j);
4119 i=
m->rows();
j=
m->cols();
4123 r->cf=
m->basecoeffs();
4128 Werror(
"det of %d x %d cmatrix",
i,
j);
4139 i=
m->rows();
j=
m->cols();
4144 Werror(
"det of %d x %d intmat",
i,
j);
4163 WerrorS(
"`dim` is not implemented for letterplace rings over rings");
4168 WerrorS(
"qring not supported by `dim` for letterplace rings at the moment");
4173 return (
gkDim == -2);
4178 Warn(
"dim(%s) may be wrong because the mixed monomial ordering",
v->Name());
4191 Werror(
"cannot dump to `%s`",
s);
4200 int co=(
int)(
long)
v->Data();
4206 else WerrorS(
"argument of gen must be positive");
4211 char * d = (
char *)
v->Data();
4251 WarnS(
"no factorization implemented");
4255 res->data=(
void *)L;
4268 l->m[0].data=(
void *)
f;
4270 l->m[1].data=(
void *)
v;
4271 res->data=(
void *)
l;
4282 Werror(
"cannot get dump from `%s`",
s);
4314 WerrorS(
"module must be zero-dimensional");
4339 res->data=(
void *)
po;
4346 PrintS(
"// NOTE: computation of Hilbert series etc. is being\n");
4347 PrintS(
"// performed for generic fibre, that is, over Q\n");
4359 PrintS(
"// NOTE: computation of Hilbert series etc. is being\n");
4360 PrintS(
"// performed for generic fibre, that is, over Q\n");
4382 else if (
w!=
NULL)
delete w;
4403 int deg = (
int)(
long)
v->Data();
4406 WerrorS(
"degree bound of Letterplace ring is to small");
4431 res->data=(
char *)
I;
4441 if (q->qideal==
NULL)
4448 WerrorS(
"can only get ideal from identical qring");
4482 res->data = (
void*)iv;
4487 res->data = (
char *)(
long)
pVar((poly)
v->Data());
4498 res->data = (
char *)0;
4505 poly
p=(poly)(
v->Data());
4510 res->data = (
char *)
i;
4517 WerrorS(
"differentiation not defined in the coefficient ring");
4544 for(
int i = 0;
i <
W;
i++,
p++, q++ )
4587 poly
p=(poly)
v->Data();
4601 poly
p=(poly)
v->Data();
4614 res->data=(
char *)iv;
4619 poly
p=(poly)
v->Data();
4628 res->data = (
char*)
lm;
4642 res->data=(
char *)r;
4675 WerrorS(
"matrix must be constant");
4689 res->data=(
char*)
ll;
4699 switch(((
int)(
long)
v->Data()))
4714 res->data = (
char *)0;
4731 l->m[0].data=(
char *)r;
4734 l->m[1].data=(
char *)
m;
4735 res->data=(
char *)
l;
4765 res->data=(
void *)n;
4795 res->data=(
char*)(
long)((
long)
v->Data()==0 ? 1 : 0);
4800 res->data = (
char *)(
long)(((
ring)(
v->Data()))->N);
4811 poly
p=(poly)
v->Data();
4817 int i=(
int)(
long)
v->Data();
4820 if ((0<
i) && (
i<=
p))
4826 Werror(
"par number %d out of range 1..%d",
i,
p);
4841 WerrorS(
"no ring active (1)");
4844 int i=(
int)(
long)
v->Data();
4850 Werror(
"par number %d out of range 1..%d",
i,
p);
4857 poly
p=(poly)
v->Data();
4861 WerrorS(
"poly must be constant");
4870 res->data=(
void *)n;
4877 poly
p=(poly)
v->Data();
4881 WerrorS(
"poly must be constant");
4895 int i =
IsPrime((
int)(
long)(
v->Data()));
4896 res->data = (
char *)(
long)(
i > 1 ?
i : 2);
4907 WarnS(
"wrong weights");
4927 if (((
p=(poly)
v->Data())!=
NULL)
4936 res->data = (
char *)n;
4941 char *
s= (
char *)
v->Data();
4948 res->data = (
char *)1;
4957 res->data = (
char *)1;
4965 res->data =(
char *)(
long)rank;
4990 long mm=r->wanted_maxExp;
5014 res->data = (
char *)
i->rank;
5019 res->data = (
char *)(
long)((
bigintmat*)(
v->Data()))->rows();
5024 res->data = (
char *)(
long)((
intvec*)(
v->Data()))->rows();
5034 res->data = (
char *)(
long)
atoi((
char*)
v->Data());
5043 WerrorS(
"qring not supported by slimgb at the moment");
5048 WerrorS(
"ordering must be global for slimgb");
5052 WarnS(
"groebner base computations with inexact coefficients can not be trusted due to rounding errors");
5060 WarnS(
"wrong weights");
5089 WarnS(
"wrong weights");
5115 WarnS(
"wrong weights");
5141 WarnS(
"wrong weights");
5160 WarnS(
"groebner base computations with inexact coefficients can not be trusted due to rounding errors");
5169 WarnS(
"wrong weights");
5200 l->m[0].data=(
void *)
f;
5202 l->m[1].data=(
void *)
v;
5203 res->data=(
void *)
l;
5225 Werror(
"At least %d ncgen variables are needed for this computation.",
IDELEMS(
v_id));
5256 res->data = (
char *)S;
5263 for(
int i=0;
i<
vl;
i++)
5272 for(
int i=0;
i<
vl;
i++)
5295 res->data = (
char *)(((
bigintmat*)(
v->Data()))->transpose());
5314 WarnS(
"opposite only for global orderings");
5358#if defined(HAVE_SHIFTBBA) || defined(HAVE_PLURAL)
5362 WarnS(
"groebner base computations with inexact coefficients can not be trusted due to rounding errors");
5405 res->data = (
char *)
J;
5419 int t=(
int)(
long)
v->data;
5470 int i=(
int)(
long)
v->Data();
5476 res->data=(
char *)
p;
5489 WerrorS(
"no ring active (2)");
5492 int i=(
int)(
long)
v->Data();
5510 WerrorS(
"`vdim` is not implemented for letterplace rings over rings");
5515 WerrorS(
"qring not supported by `vdim` for letterplace rings at the moment");
5519 res->data = (
char *)(
long)
kDim;
5520 return (
kDim == -2);
5525 WerrorS(
"int overflow in vdim");
5526 res->data = (
char *)
l;
5541 res->data = (
void*)(
long)
i;
5563 if((
i == -1)||(
j==0))
5575 res->data = (
void*)(
long)
j;
5584#ifdef HAVE_DYNAMIC_LOADING
5591 Werror(
"%s: unknown type",
s);
5615 package pa=IDPACKAGE(pl);
5619 Werror(
"can not create package `%s` - binaries exists",
plib);
5625 package savepack=currPack;
5641#ifdef HAVE_DYNAMIC_LOADING
5644 WerrorS(
"Dynamic modules are not supported by this version of Singular");
5664 Print(
"loading of >%s< failed\n",
s);
5673 res->data = (
char *)
strlen((
char *)
v->Data());
5678 res->data = (
char *)(
long)
pLength((poly)
v->Data());
5703 res->data = (
char *)
pHead((poly)
v->Data());
5787 char *
s= (
char *)u->
Data();
5788 int r = (
int)(
long)
v->Data();
5789 int c = (
int)(
long)
w->Data();
5792 if ( (r<1) || (r>
l) || (c<0) )
5804 int r = (
int)(
long)
v->Data();
5805 int c = (
int)(
long)
w->Data();
5806 if ((r<1)||(r>iv->
rows())||(c<1)||(c>iv->
cols()))
5808 Werror(
"wrong range[%d,%d] in intmat %s(%d x %d)",
5821 while (
h->next!=
NULL)
h=
h->next;
5831 int r = (
int)(
long)
v->Data();
5832 int c = (
int)(
long)
w->Data();
5833 if ((r<1)||(r>bim->
rows())||(c<1)||(c>bim->
cols()))
5835 Werror(
"wrong range[%d,%d] in bigintmat %s(%d x %d)",
5849 while (
h->next!=
NULL)
h=
h->next;
5859 int r = (
int)(
long)
v->Data();
5860 int c = (
int)(
long)
w->Data();
5864 Werror(
"wrong range[%d,%d] in matrix %s(%d x %d)",r,c,u->
Fullname(),
5878 while (
h->next!=
NULL)
h=
h->next;
5888 int r = (
int)(
long)
v->Data();
5889 int c = (
int)(
long)
w->Data();
5891 if ((r<1)||(r>
m->rank)||(c<1)||(c>
IDELEMS(
m)))
5893 Werror(
"wrong range[%d,%d] in matrix %s(%d x %d)",r,c,u->
Fullname(),
5907 while (
h->next!=
NULL)
h=
h->next;
5918 WerrorS(
"cannot build expression lists from unnamed objects");
5933 t.
data=(
char *)(
long)((*iv)[
l]);
5968 WerrorS(
"cannot build expression lists from unnamed objects");
5982 t.
data=(
char *)(
long)((*iv)[
l]);
6017 WerrorS(
"cannot build expression lists from unnamed objects");
6035 t1.data=(
char *)(
long)((*vv)[
vl]);
6038 t2.data=(
char *)(
long)((*wv)[
wl]);
6088 int k=(
int)(
long)
w->Data();
6095 l->m[0].data=(
void *)
m;
6096 l->m[1].data=(
void *)iv;
6103 l->m[0].data=(
void *)
m;
6105 res->data = (
char *)
l;
6112 WerrorS(
"3rd argument must be a name of a matrix");
6116 int rank=(
int)
i->rank;
6125 (
ideal)(
v->Data()),(poly)(
w->Data()));
6132 WerrorS(
"3rd argument must be a name of a matrix");
6180 int n=(
int)(
long)
w->Data();
6182 char *what=(
char *)
v->Data();
6186 Werror(
"start position %d out of range",n);
6190 if (*(what+1)!=
'\0')
6205 if ((
int)(
long)
w->Data()==0)
6217 Werror(
"weight vector must have size %d, not %d",
6223 PrintS(
"// NOTE: computation of Hilbert series etc. is being\n");
6224 PrintS(
"// performed for generic fibre, that is, over Q\n");
6230 switch((
int)(
long)
v->Data())
6246 PrintS(
"// NOTE: computation of Hilbert series etc. is being\n");
6247 PrintS(
"// performed for generic fibre, that is, over Q\n");
6251 char *
name=(
char*)
w->Data();
6267 int i=
pVar((poly)
v->Data());
6279 WerrorS(
"variable must have weight 1");
6285 int i=
pVar((poly)
v->Data());
6297 WerrorS(
"variable must have weight 1");
6310 intvec* im=
new intvec((
int)(
long)
v->Data(),(
int)(
long)
w->Data(), 0);
6316 (*im)[
i] = (*arg)[
i];
6319 res->data = (
char *)im;
6354 WerrorS(
"2nd argument must be a unit");
6370 WerrorS(
"2nd argument must be a diagonal matrix of units");
6417 Werror(
"`%s` is undefined",
v->Fullname());
6524 if ((!
noK) && (
k == 0))
6526 WerrorS(
"Provided number of minors to be computed is zero.");
6533 WerrorS(
"Expected as algorithm one of 'B/bareiss', 'L/laplace', or 'C/cache'.");
6539 Werror(
"Bareiss algorithm not defined over coefficient rings %s",
6540 "with zero divisors.");
6543 if ((
mk < 1) || (
mk >
m->rows()) || (
mk >
m->cols()))
6577 WerrorS(
"3rd argument must have a name");
6583 WerrorS(
"length for res must not be negative");
6598 "full resolution in a qring may be infinite, setting max length to %d",
6636 res->data=(
void *)r;
6662 (
const char *)
w->Data());
6676 WerrorS(
"2nd/3rd arguments must have names");
6690 Werror(
"preimage ring `%s` is not the basering",
mapping->preimage);
6734 WarnS(
"preimage in local qring may be wrong: use Ring::preimageLoc instead");
6744 int r=(
int)(
long)
v->Data();
6745 int c=(
int)(
long)
w->Data();
6746 if ((r<=0) || (c<=0))
return TRUE;
6762 res->data = (
char *)iv;
6772 Werror(
"no random function defined for coeff %d",
cf->type);
6791 poly
p=(poly)
v->Data();
6795 Werror(
"`%s` substitutes a ringvar only by a term",
6809 WerrorS(
"ringvar/par expected");
6834 poly
p=(poly)u->
Data();
6854 WerrorS(
"Substituting parameters not implemented for Letterplace rings.");
6887 Warn(
"possible OVERFLOW in subst, max exponent is %ld",
currRing->bitmask/2);
6901 WerrorS(
"Substituting parameters not implemented for Letterplace rings.");
6931 int mi=(
int)(
long)
v->Data();
6932 int ni=(
int)(
long)
w->Data();
6935 Werror(
"converting ideal to matrix: dimensions must be positive(%dx%d)",
mi,
ni);
6949 res->data = (
char *)
m;
6954 int mi=(
int)(
long)
v->Data();
6955 int ni=(
int)(
long)
w->Data();
6958 Werror(
"converting module to matrix: dimensions must be positive(%dx%d)",
mi,
ni);
6967 int mi=(
int)(
long)
v->Data();
6968 int ni=(
int)(
long)
w->Data();
6971 Werror(
"converting matrix to matrix: dimensions must be positive(%dx%d)",
mi,
ni);
6988 res->data = (
char *)
m;
7015 if ((*w_u).compare((
w_v))!=0)
7017 WarnS(
"incompatible weights");
7026 WarnS(
"wrong weights");
7067 if ((*w_u).compare((
w_v))!=0)
7069 WarnS(
"incompatible weights");
7078 WarnS(
"wrong weights");
7095 int mi=(
int)(
long)
v->Data();
7096 int ni=(
int)(
long)
w->Data();
7099 Werror(
"converting to smatrix: dimensions must be positive(%dx%d)",
mi,
ni);
7116 Werror(
"At least %d ncgen variables are needed for this computation.",
ul);
7147 &(
hw->data.uideal));
7178 Werror(
"`%s` must be 0-dimensional",
v->Name());
7190 Werror(
"`%s` must be 0-dimensional",
v->Name());
7201 0,(
int)(
long)
w->Data());
7208 0,(
int)(
long)
w->Data());
7233 WarnS(
"wrong weights");
7262 yes = (
strcmp((
char *)
res->data, (
char *)
w->Data()) == 0);
7264 res->data = (
void *)(
long)
yes;
7283 WarnS(
"wrong weights");
7389 WarnS(
"<module>,<module>,<int>[,<intvec>] expected!");
7399 int n=(
int)(
long)
v3->Data();
7406 while( (
i > 0) && ((*
w0) > 0) )
7412 WarnS(
"not all weights are positive!");
7431 L->
m[1].
data=(
void *)
R->m[0];
7514 res->data=(
char *)
id;
7527 WerrorS(
"fetch(<ring>,<name>[,<intvec>[,<intvec>])");
7591 Warn(
"invalid entry for var %d: %d\n",
i,perm[
i]);
7600 Print(
"// var nr %d: %s -> var %s\n",
i,r->names[
i-1],
currRing->names[perm[
i]-1]);
7607 Print(
"// par nr %d: %s -> par %s\n",
7610 Print(
"// par nr %d: %s -> var %s\n",
7645 int l=
v->listLength();
7676 WerrorS(
"cannot convert to ideal or module");
7741 Werror(
"given matrix (%d x %d) is not quadratic, hence not invertible",
rr,
cc);
7746 WerrorS(
"matrix must be constant");
7760 Werror(
"third matrix (%d x %d) is not quadratic, hence not invertible",
7769 WerrorS(
"matricesx must be constant");
7776 Werror(
"expected either one or three matrices");
7794 res->data=(
char*)
ll;
7818 WerrorS(
"expected exactly three matrices and one vector as input");
7828 Werror(
"first matrix (%d x %d) is not quadratic",
7834 Werror(
"second matrix (%d x %d) is not quadratic",
7840 Werror(
"second matrix (%d x %d) and third matrix (%d x %d) do not fit",
7846 Werror(
"third matrix (%d x %d) and vector (%d x 1) do not fit",
7855 WerrorS(
"matrices must be constant");
7875 res->data=(
char*)
ll;
7888 (*iv)[
i]=(
int)(
long)
h->Data();
7907 res->data=(
char *)iv;
7960 for(
int j=0;
j<
b->cols();
j++)
7968 res->data=(
char *)bim;
7985 WerrorS(
"2nd argument must be a unit");
7988 res->rtyp=
u1->Typ();
7998 WerrorS(
"2nd argument must be a diagonal matrix of units");
8001 res->rtyp=
u1->Typ();
8012 Werror(
"%s(`poly`,`poly`,`int`,`intvec`) exppected",
8030 else if (
w->next==
NULL)
8078 Werror(
"`%s` undefined or `int` expected while building `%s(`",u->
name,u->
name);
8088 while (*
s!=
'\0')
s++;
8092 Werror(
"`%s` undefined or `int` expected while building `%s(`",u->
name,u->
name);
8098 while (*
s!=
'\0')
s++;
8132 Werror(
"%s(`ideal`,`ideal`,`matrix`,`string`)\n"
8133 "or (`module`,`module`,`matrix`,`string`) expected",
8165 syz=&(
hw->data.uideal);
8172 syz=&(
hw->data.uideal);
8182 Werror(
"%s(`ideal/module`,`matrix`[,`module`][,`string`][,`ideal/module`]) expected",
Tok2Cmdname(
iiOp));
8194 syz=&(
hw->data.uideal);
8200 Werror(
"%s(`ideal/module`,`matrix`[,`module`][,`string`][,`ideal/module`]) expected",
Tok2Cmdname(
iiOp));
8231 if (
v!=
NULL) sl =
v->listLength();
8264 Werror(
"`%s` is undefined",
h->Fullname());
8276 res->data=(
char *)L;
8319 if ((*w_u).compare((
w_v))!=0)
8321 WarnS(
"incompatible weights");
8330 WarnS(
"wrong weights");
8392 WerrorS(
"2nd argument must be a diagonal matrix of units");
8399 (
int)(
long)
u4->Data()
8409 else u1p=(poly)
u1->Data();
8412 else u2p=(poly)
u2->Data();
8416 WerrorS(
"2nd argument must be a unit");
8445 WerrorS(
"2nd argument must be a diagonal matrix of units");
8452 (
int)(
long)
u4->Data(),
8464 WerrorS(
"2nd argument must be a unit");
8475 Werror(
"%s(`ideal`,`ideal`,`matrix`,`int`,`intvec`) exppected",
8578 res->data=(
void *)L;
8589 int n =
v->listLength();
8592 res->data =
v->String();
8629#if defined(__alpha) && !defined(linux)
8664 WerrorS(
"expected arguments (poly, int [, poly, poly] [, int, int])");
8667 else h = (poly)u->
Data();
8671 WerrorS(
"expected arguments (poly, int [, poly, poly] [, int, int])");
8674 else d = (
int)(
long)u->
Data();
8680 WerrorS(
"expected arguments (poly, int [, poly, poly] [, int, int])");
8695 WerrorS(
"expected arguments (poly, int [, poly, poly] [, int, int])");
8707 WerrorS(
"expected arguments (poly, int [, poly, poly] [, int, int])");
8714 WerrorS(
"expected non-constant polynomial argument(s)");
8720 Werror(
"index for variable x (%d) out of range [1..%d]",
xIndex, n);
8725 Werror(
"index for variable y (%d) out of range [1..%d]",
yIndex, n);
8730 WerrorS(
"expected distinct indices for variables x and y");
8749 WerrorS(
"expected h(0,y) to have exactly two distinct monic factors");
8764 res->data = (
char*)L;
8775#if defined(HAVE_USLEEP)
8776 if (((
long)
res->data) == 0L)
8785#elif defined(HAVE_SLEEP)
8786 if (((
int)
res->data) == 0)
8832 WerrorS(
"expected (matrix, number, number, number) as arguments");
8855 WerrorS(
"expected `std(`ideal/module`,`poly/vector`,`bigintvec`,`intvec`)");
8870 i0->m[0]=(poly)
v->Data();
8879 WerrorS(
"expected `std(`ideal/module`,`poly/vector`,`intvec`,`intvec`)");
8896 WarnS(
"wrong weights");
8930 WerrorS(
"expected `cring` [ `id` ... ]");
8936 char **n=(
char**)
omAlloc0(
N*
sizeof(
char*));
8937 for(
int i=0;
i<
N;
i++,names=names->
next)
8939 n[
i]=(
char *)names->
Name();
8951 r->start =(
int)(
long)e->
Data();
8960 PrintS(
"delete all variables\n");
8965 default:
WerrorS(
"not implemented");
8970#define NULL_VAL NULL
8974#include "iparith.inc"
8992 while (
dA2[
i].cmd==op)
9006 WerrorS(
"no ring active (3)");
9032 while (
dA2[
i].cmd==op)
9050 WerrorS(
"no ring active (4)");
9098 Werror(
"`%s` is not defined",
s);
9105 Werror(
"%s(`%s`,`%s`) failed"
9110 Werror(
"`%s` %s `%s` failed"
9115 while (
dA2[
i].cmd==op)
9122 Werror(
"expected %s(`%s`,`%s`)"
9125 Werror(
"expected `%s` %s `%s`"
9170 res->data=(
char *)d;
9222 while (
dA1[
i].cmd==op)
9234 WerrorS(
"no ring active (5)");
9261 while (
dA1[
i].cmd==op)
9277 WerrorS(
"no ring active (6)");
9326 while (
dA1[
i].cmd==op)
9330 Werror(
"expected %s(`%s`)"
9356 res->data=(
char *)d;
9369 res->data=
bb->blackbox_Init(
bb);
9370 return bb->blackbox_Assign(
res,a);
9380 if(!
bb->blackbox_Op1(op,
res,a))
return FALSE;
9411 while (
dA3[
i].cmd==op)
9423 Print(
"call %s(%s,%s,%s)\n",
9446 while (
dA3[
i].cmd==op)
9462 Print(
"call %s(%s,%s,%s)\n",
9517 Werror(
"`%s` is not defined",
s);
9523 Werror(
"%s(`%s`,`%s`,`%s`) failed"
9527 while (
dA3[
i].cmd==op)
9534 Werror(
"expected %s(`%s`,`%s`,`%s`)"
9571 res->data=(
char *)d;
9655 res->data=(
char *)d;
9693 if(!
bb->blackbox_OpM(op,
res,a))
return FALSE;
9708 if ((args==
dArithM[
i].number_of_args)
9710 || ((
dArithM[
i].number_of_args==-2)&&(args>0)))
9808 Warn(
"outdated identifier `%s` used - please change your code",
9882 if (
tok==
NONE)
return "nothing";
9894 if (
tok==
IDHDL)
return "identifier";
9940 if(
strcmp(
pCmdL->name,
"$INVALID$")==0)
return -1;
9944 if (
pCmdL->tokval==-1)
9946 if (
pCmdR->tokval==-1)
9952 if(
pCmdR->tokval==-1)
return -1;
10160 WerrorS(
"not implemented for non-commutative rings");
10182 WerrorS(
"not implemented for rings with rings as coeffients");
10187 WerrorS(
"not implemented for rings with rings as coeffients and non-global orderings");
10194 WerrorS(
"domain required as coeffients");
10200 WarnS(
"considering the image in Q[...]");
10212 WerrorS(
"not implemented for rings with rings as coeffients (except ZZ)");
10240 if (
bo) {
Werror(
"chinrem failed for list entry %d",
i+1);
break;}
10250 WerrorS(
"poly/ideal/module/matrix/list expected");
10260 cf=
cf->extRing->cf;
10269 Werror(
"wromg number of primes (%d:%d) for chinrem",pl->
nr+1,
rl);
10289 for(
i=
rl-1;
i>=0;
i--)
10317 for(
i=
rl-1;
i>=0;
i--)
10329 Werror(
"bigint expected at pos %d",
i+1);
10339 for(
i=
rl-1;
i>=0;
i--)
10346 for(
i=
rl-1;
i>=0;
i--)
10358 Werror(
"bigint expected at pos %d",
i+1);
10374 res->data=(
char *)n;
10397 for(
i=
rl-1;
i>=0;
i--)
10417 if (
bo) {
Werror(
"farey failed for list entry %d",
i+1);
break;}
10430 if (
at <
bt)
return -1;
10431 if (
at >
bt)
return 1;
10441 unsigned long bd=(
unsigned long)
b->Data();
10442 if (
ad<
bd)
return -1;
10443 else if (
ad==
bd)
return 0;
10455 unsigned long bd=(
unsigned long)
b->Data();
10456 if (
ad<
bd)
return -1;
10457 else if (
ad==
bd)
return 0;
10460 else if (
tmp.data==
NULL)
return 1;
10488 for(
j=
i;
j<len;
j++)
l->m[
j]=
l->m[
j+1];
ideal getMinorIdealCache(const matrix mat, const int minorSize, const int k, const ideal iSB, const int cacheStrategy, const int cacheN, const int cacheW, const bool allDifferent)
Returns the specified set of minors (= subdeterminantes) of the given matrix.
ideal getMinorIdeal(const matrix mat, const int minorSize, const int k, const char *algorithm, const ideal iSB, const bool allDifferent)
Returns the specified set of minors (= subdeterminantes) of the given matrix.
ideal getMinorIdealHeuristic(const matrix mat, const int minorSize, const int k, const ideal iSB, const bool allDifferent)
Returns the specified set of minors (= subdeterminantes) of the given matrix.
void atSet(idhdl root, char *name, void *data, int typ)
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)
intvec * bim2iv(bigintmat *b)
bigintmat * bimMult(bigintmat *a, bigintmat *b)
bigintmat * bimSub(bigintmat *a, bigintmat *b)
bigintmat * bimAdd(bigintmat *a, bigintmat *b)
Matrix-Add/-Sub/-Mult so oder mit operator+/-/* ? @Note: NULL as a result means an error (non-compati...
#define BIMATELEM(M, I, J)
struct blackbox_list * getBlackboxTypes()
return array of all define types.
const char * getBlackboxName(const int t)
return the name to the type given by t (r/o)
blackbox * getBlackboxStuff(const int t)
return the structure to the type given by t
int blackboxIsCmd(const char *n, int &tok)
used by scanner: returns ROOT_DECL for known types (and the type number in tok)
void printBlackboxTypes()
list all defined type (for debugging)
struct for containing list of blackbox names and the number of them.
const CanonicalForm CFMap CFMap & N
CanonicalForm map(const CanonicalForm &primElem, const Variable &alpha, const CanonicalForm &F, const Variable &beta)
map from to such that is mapped onto
int ipower(int b, int m)
int ipower ( int b, int m )
poly singclap_pmod(poly f, poly g, const ring r)
ideal singclap_factorize(poly f, intvec **v, int with_exps, const ring r)
poly singclap_pdivide(poly f, poly g, const ring r)
BOOLEAN singclap_extgcd(poly f, poly g, poly &res, poly &pa, poly &pb, const ring r)
number singclap_det_bi(bigintmat *m, const coeffs cf)
int singclap_det_i(intvec *m, const ring)
ideal singclap_sqrfree(poly f, intvec **v, int with_exps, const ring r)
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]
int compare(const bigintmat *op) const
intvec * delete_pos(int p)
void show(int mat=0, int spaces=0) const
int compare(const intvec *o) const
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 int n_ParDeg(number n, const coeffs r)
static FORCE_INLINE number n_Mult(number a, number b, const coeffs r)
return the product of 'a' and 'b', i.e., a*b
static FORCE_INLINE number n_Param(const int iParameter, const coeffs r)
return the (iParameter^th) parameter as a NEW number NOTE: parameter numbering: 1....
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_Add(number a, number b, const coeffs r)
return the sum of 'a' and 'b', i.e., a+b
static FORCE_INLINE number n_GetDenom(number &n, const coeffs r)
return the denominator of n (if elements of r are by nature not fractional, result is 1)
static FORCE_INLINE BOOLEAN nCoeff_is_Extension(const coeffs r)
static FORCE_INLINE number n_Random(siRandProc p, number p1, number p2, const coeffs cf)
@ n_algExt
used for all algebraic extensions, i.e., the top-most extension in an extension tower is algebraic
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,...
static FORCE_INLINE char * nCoeffString(const coeffs cf)
TODO: make it a virtual method of coeffs, together with: Decompose & Compose, rParameter & rPar.
static FORCE_INLINE BOOLEAN n_GreaterZero(number n, const coeffs r)
ordered fields: TRUE iff 'n' is positive; in Z/pZ: TRUE iff 0 < m <= roundedBelow(p/2),...
static FORCE_INLINE nMapFunc n_SetMap(const coeffs src, const coeffs dst)
set the mapping function pointers for translating numbers from src to dst
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 FORCE_INLINE void n_Power(number a, int b, number *res, const coeffs r)
fill res with the power a^b
static FORCE_INLINE number n_Farey(number a, number b, const coeffs r)
static FORCE_INLINE number n_Div(number a, number b, const coeffs r)
return the quotient of 'a' and 'b', i.e., a/b; raises an error if 'b' is not invertible in r exceptio...
static FORCE_INLINE number n_RePart(number i, const coeffs cf)
static FORCE_INLINE BOOLEAN n_IsZero(number n, const coeffs r)
TRUE iff 'n' represents the zero element.
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...
static FORCE_INLINE number n_Sub(number a, number b, const coeffs r)
return the difference of 'a' and 'b', i.e., a-b
static FORCE_INLINE number n_ChineseRemainderSym(number *a, number *b, int rl, BOOLEAN sym, CFArray &inv_cache, const coeffs r)
static FORCE_INLINE void n_Delete(number *p, const coeffs r)
delete 'p'
static FORCE_INLINE char * nCoeffName(const coeffs cf)
static FORCE_INLINE number n_ExtGcd(number a, number b, number *s, number *t, const coeffs r)
beware that ExtGCD is only relevant for a few chosen coeff. domains and may perform something unexpec...
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 number n_IntMod(number a, number b, const coeffs r)
for r a field, return n_Init(0,r) always: n_Div(a,b,r)*b+n_IntMod(a,b,r)==a n_IntMod(a,...
static FORCE_INLINE BOOLEAN n_Equal(number a, number b, const coeffs r)
TRUE iff 'a' and 'b' represent the same number; they may have different representations.
static FORCE_INLINE number n_GetNumerator(number &n, const coeffs r)
return the numerator of n (if elements of r are by nature not fractional, result is n)
static FORCE_INLINE number n_SubringGcd(number a, number b, const coeffs r)
static FORCE_INLINE number n_ImPart(number i, const coeffs cf)
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;
static FORCE_INLINE BOOLEAN nCoeff_is_transExt(const coeffs r)
TRUE iff r represents a transcendental extension field.
static BOOLEAN pa(leftv res, leftv args)
static BOOLEAN pb(leftv res, leftv args)
const CanonicalForm int s
const Variable & v
< [in] a sqrfree bivariate poly
char name(const Variable &v)
VAR void(* WerrorS_callback)(const char *s)
FILE * feFopen(const char *path, const char *mode, char *where, short useWerror, short path_only)
void WerrorS(const char *s)
static void * feOptValue(feOptIndex opt)
VAR char my_yylinebuf[80]
void monitor(void *F, int mode)
void newBuffer(char *s, feBufferTypes t, procinfo *pi, int lineno)
This file is work in progress and currently not part of the official Singular.
matrix singflint_kernel(matrix m, const ring R)
int iiTestConvert(int inputType, int outputType)
const char * iiTwoOps(int t)
static int RingDependend(int t)
BOOLEAN yyInRingConstruction
ideal scKBase(int deg, ideal s, ideal Q, intvec *mv)
int scDimIntRing(ideal vid, ideal Q)
scDimInt for ring-coefficients
long scMult0Int(ideal S, ideal Q)
intvec * scIndIntvec(ideal S, ideal Q)
int lp_kDim(const ideal _G)
int lp_gkDim(const ideal _G)
int scMultInt(ideal S, ideal Q)
poly hFirstSeries0m(ideal A, ideal Q, intvec *wdegree, intvec *shifts, const ring src, const ring Qt)
poly hFirstSeries0p(ideal A, ideal Q, intvec *wdegree, const ring src, const ring Qt)
intvec * hSecondSeries(intvec *hseries1)
intvec * hFirstSeries(ideal A, intvec *module_w, ideal Q, intvec *wdegree)
bigintmat * hFirstSeries0b(ideal I, ideal Q, intvec *wdegree, intvec *shifts, const ring src, const coeffs biv_cf)
bigintmat * hSecondSeries0b(ideal I, ideal Q, intvec *wdegree, intvec *shifts, const ring src, const coeffs biv_cf)
void scDegree(ideal S, intvec *modulweight, ideal Q)
void hLookSeries(ideal S, intvec *modulweight, ideal Q, intvec *wdegree)
GbVariant syGetAlgorithm(char *n, const ring r, const ideal)
matrix idCoeffOfKBase(ideal arg, ideal kbase, poly how)
void idLiftW(ideal P, ideal Q, int n, matrix &T, ideal &R, int *w)
ideal idSyzygies(ideal h1, tHomog h, intvec **w, BOOLEAN setSyzComp, BOOLEAN setRegularity, int *deg, GbVariant alg)
matrix idDiff(matrix i, int k)
BOOLEAN idTestHomModule(ideal m, ideal Q, intvec *w)
ideal idLiftStd(ideal h1, matrix *T, tHomog hi, ideal *S, GbVariant alg, ideal h11)
ideal idQuot(ideal h1, ideal h2, BOOLEAN h1IsStb, BOOLEAN resultIsIdeal)
ideal idSeries(int n, ideal M, matrix U, intvec *w)
ideal idMinEmbedding_with_map_v(ideal arg, intvec **w, ideal &trans, int *g)
ideal idElimination2(ideal h1, poly delVar, bigintmat *hilb, GbVariant alg)
matrix idDiffOp(ideal I, ideal J, BOOLEAN multiply)
ideal idElimination(ideal h1, poly delVar, intvec *hilb, GbVariant alg)
ideal idSect(ideal h1, ideal h2, GbVariant alg)
ideal idMultSect(resolvente arg, int length, GbVariant alg)
ideal idLift(ideal mod, ideal submod, ideal *rest, BOOLEAN goodShape, BOOLEAN isSB, BOOLEAN divide, matrix *unit, GbVariant alg)
represents the generators of submod in terms of the generators of mod (Matrix(SM)*U-Matrix(rest)) = M...
ideal idModulo(ideal h2, ideal h1, tHomog hom, intvec **w, matrix *T, GbVariant alg)
ideal idMinBase(ideal h1, ideal *SB)
ideal id_Farey(ideal x, number N, const ring r)
ideal idMinEmbedding(ideal arg, BOOLEAN inPlace, intvec **w)
#define idDelete(H)
delete an ideal
#define idSimpleAdd(A, B)
ideal id_Copy(ideal h1, const ring r)
copy an ideal
static BOOLEAN idIsZeroDim(ideal i)
static BOOLEAN idHomModule(ideal m, ideal Q, intvec **w)
static BOOLEAN idHomIdeal(ideal id, ideal Q=NULL)
static ideal idMult(ideal h1, ideal h2)
hh := h1 * h2
ideal idAdd(ideal h1, ideal h2)
h1 + h2
#define idMaxIdeal(D)
initialise the maximal ideal (at 0)
static intvec * idSort(ideal id, BOOLEAN nolex=TRUE)
ideal interpolation(const std::vector< ideal > &L, intvec *v)
static BOOLEAN length(leftv result, leftv arg)
intvec * ivSub(intvec *a, intvec *b)
intvec * ivAdd(intvec *a, intvec *b)
intvec * ivMult(intvec *a, intvec *b)
intvec * ivTranp(intvec *o)
intvec * ivCopy(const intvec *o)
#define IMATELEM(M, I, J)
static BOOLEAN jjUMINUS_MA(leftv res, leftv u)
static BOOLEAN jjOP_BIM_I(leftv res, leftv u, leftv v)
static BOOLEAN jjRANK1(leftv res, leftv v)
static BOOLEAN jjINDEX_V_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjIMPART(leftv res, leftv v)
static BOOLEAN jjIm2Iv(leftv res, leftv v)
static BOOLEAN jjQUOT(leftv res, leftv u, leftv v)
static BOOLEAN jjUMINUS_IV(leftv res, leftv u)
static BOOLEAN jjOPPOSITE(leftv res, leftv a)
static int _gentable_sort_cmds(const void *a, const void *b)
compares to entry of cmdsname-list
BOOLEAN jjWAITALL1(leftv res, leftv u)
static BOOLEAN jjRESTART(leftv, leftv u)
static BOOLEAN jjidHead(leftv res, leftv v)
static BOOLEAN jjHILBERT(leftv, leftv v)
static BOOLEAN jjTIMES_MA_P1(leftv res, leftv u, leftv v)
static BOOLEAN jjLEADMONOM(leftv res, leftv v)
static BOOLEAN jjOP_IV_I(leftv res, leftv u, leftv v)
static BOOLEAN jjstrlen(leftv res, leftv v)
static BOOLEAN jjBRACK_Bim(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjEXTGCD_P(leftv res, leftv u, leftv v)
static BOOLEAN jjDET_BI(leftv res, leftv v)
BOOLEAN jjWAIT1ST1(leftv res, leftv u)
BOOLEAN jjLOAD(const char *s, BOOLEAN autoexport)
load lib/module given in v
static BOOLEAN jjMATRIX_Mo(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjP2I(leftv res, leftv v)
static BOOLEAN jjIS_RINGVAR_P(leftv res, leftv v)
static BOOLEAN jjDOTDOT(leftv res, leftv u, leftv v)
static BOOLEAN jjFWALK3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjREPART(leftv res, leftv v)
static BOOLEAN jjTIMES_MA_BI2(leftv res, leftv u, leftv v)
static BOOLEAN jjMAP(leftv res, leftv u, leftv v)
static BOOLEAN jjGT_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjN2BI(leftv res, leftv v)
static BOOLEAN jjRESERVEDLIST0(leftv res, leftv)
static BOOLEAN jjCHAR(leftv res, leftv v)
static BOOLEAN jjOP_I_IM(leftv res, leftv u, leftv v)
static BOOLEAN jjBRACK_Ma_IV_I(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjROWS_IV(leftv res, leftv v)
static BOOLEAN jjLIFTSTD(leftv res, leftv u, leftv v)
static BOOLEAN jjNULL(leftv, leftv)
static BOOLEAN jjNEWSTRUCT2(leftv, leftv u, leftv v)
static BOOLEAN jjBIV2IV(leftv res, leftv v)
static BOOLEAN jjMONITOR2(leftv res, leftv u, leftv v)
static BOOLEAN jjDIM(leftv res, leftv v)
static BOOLEAN jjCOUNT_BIM(leftv res, leftv v)
static BOOLEAN jjBRACKET(leftv res, leftv a, leftv b)
static BOOLEAN jjCOLS_IV(leftv res, leftv v)
static BOOLEAN jjNAMES_I(leftv res, leftv v)
static BOOLEAN jjMULT(leftv res, leftv v)
static BOOLEAN jjHOMOG1_WI(leftv res, leftv v, leftv u)
static BOOLEAN jjPARDEG(leftv res, leftv v)
static BOOLEAN jjDENOMINATOR(leftv res, leftv v)
Return the denominator of the input number.
static BOOLEAN jjRANDOM(leftv res, leftv u, leftv v)
static BOOLEAN jjIDEAL_Ma(leftv res, leftv v)
static BOOLEAN jjDIVISION(leftv res, leftv u, leftv v)
static BOOLEAN jjOP_I_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjmpTransp(leftv res, leftv v)
static BOOLEAN jjOPTION_PL(leftv res, leftv v)
static BOOLEAN jjEQUAL_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjDET_S(leftv res, leftv v)
static BOOLEAN jjL2R(leftv res, leftv v)
static BOOLEAN jjREDUCE5(leftv res, leftv u)
static BOOLEAN jjrCharStr(leftv res, leftv v)
static BOOLEAN jjSUBST_Id_I(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjMINUS_B_P(leftv res, leftv u, leftv v)
static BOOLEAN jjHILBERT_IV(leftv res, leftv v)
int iiArithFindCmd(const char *szName)
static BOOLEAN jjIDEAL_R(leftv res, leftv v)
static BOOLEAN jjINDEPSET(leftv res, leftv v)
static BOOLEAN jjTYPEOF(leftv res, leftv v)
static BOOLEAN jjLU_SOLVE(leftv res, leftv v)
static BOOLEAN jjFACSTD(leftv res, leftv v)
static BOOLEAN jjMEMORY(leftv res, leftv v)
static BOOLEAN jjidTransp(leftv res, leftv v)
static BOOLEAN jjLIFT(leftv res, leftv u, leftv v)
static BOOLEAN jjUMINUS_BIM(leftv res, leftv u)
static BOOLEAN jjSUBST_Bu(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjTIMES_MA_N2(leftv res, leftv u, leftv v)
static BOOLEAN jjDIM_R(leftv res, leftv v)
BOOLEAN jjSORTLIST(leftv, leftv arg)
static BOOLEAN jjDUMP(leftv, leftv v)
static BOOLEAN jjpMaxComp(leftv res, leftv v)
static BOOLEAN jjCOEFFS1(leftv res, leftv v)
static BOOLEAN jjREDUCE3_ID(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjELIMIN_HILB(leftv res, leftv u, leftv v, leftv w)
static int jjCOMPARE_ALL(const void *aa, const void *bb)
static BOOLEAN jjNAMEOF(leftv res, leftv v)
static BOOLEAN jjPlural_mat_poly(leftv res, leftv a, leftv b)
static BOOLEAN jjTIMES_SM(leftv res, leftv u, leftv v)
static BOOLEAN jjMOD_BI(leftv res, leftv u, leftv v)
BOOLEAN jjUNIQLIST(leftv, leftv arg)
static BOOLEAN jjTIMES_MA_I2(leftv res, leftv u, leftv v)
static BOOLEAN jjSTATUS2L(leftv res, leftv u, leftv v)
BOOLEAN(* proc3)(leftv, leftv, leftv, leftv)
static BOOLEAN jjGT_I(leftv res, leftv u, leftv v)
static BOOLEAN jjPRIME(leftv res, leftv v)
static BOOLEAN jjPFAC2(leftv res, leftv u, leftv v)
static BOOLEAN jjidVec2Ideal(leftv res, leftv v)
static BOOLEAN jjJACOB_P(leftv res, leftv v)
static BOOLEAN jjSQR_FREE(leftv res, leftv u)
static BOOLEAN jjSTD_HILB_W(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjEQUAL_I(leftv res, leftv u, leftv v)
static BOOLEAN jjTIMES_MA_P2(leftv res, leftv u, leftv v)
static BOOLEAN jjMODULO3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjSBA_1(leftv res, leftv v, leftv u)
static BOOLEAN jjCOEFFS3_P(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjCALL1MANY(leftv res, leftv u)
static BOOLEAN jjPLUS_MA(leftv res, leftv u, leftv v)
static BOOLEAN jjMINUS_V(leftv res, leftv u, leftv v)
static BOOLEAN jjINTERRED(leftv res, leftv v)
static BOOLEAN jjJACOB_M(leftv res, leftv a)
static BOOLEAN jjJET_ID_IV(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjTIMES_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjBAREISS(leftv res, leftv v)
static BOOLEAN jjREAD(leftv res, leftv v)
static BOOLEAN jjLT_N(leftv res, leftv u, leftv v)
static BOOLEAN jjMINUS_MA(leftv res, leftv u, leftv v)
static BOOLEAN jjFactModD_M(leftv res, leftv v)
static BOOLEAN jjMATRIX_Id(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjEXTGCD_I(leftv res, leftv u, leftv v)
static BOOLEAN jjIS_RINGVAR_S(leftv res, leftv v)
static BOOLEAN jjDelete_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjLE_N(leftv res, leftv u, leftv v)
static BOOLEAN jjSUBST_P(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjROWS_BIM(leftv res, leftv v)
static BOOLEAN jjCOMPARE_S(leftv res, leftv u, leftv v)
int iiInitArithmetic()
initialisation of arithmetic structured data
static BOOLEAN jjOR_I(leftv res, leftv u, leftv v)
static BOOLEAN jjTIMES_MA_I1(leftv res, leftv u, leftv v)
static BOOLEAN jjLIFTSTD_SYZ(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjBAREISS3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjRESERVED0(leftv, leftv)
static BOOLEAN jjTIMES_MA_N1(leftv res, leftv u, leftv v)
static BOOLEAN jjLIFT_4(leftv res, leftv U)
static BOOLEAN jjSLIM_GB(leftv res, leftv u)
static BOOLEAN jjMSTD(leftv res, leftv v)
static BOOLEAN jjBREAK1(leftv, leftv v)
static BOOLEAN jjJET_ID_M(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjMINUS_BIM(leftv res, leftv u, leftv v)
static BOOLEAN jjnInt(leftv res, leftv u)
static BOOLEAN jjSQR_FREE2(leftv res, leftv u, leftv dummy)
static BOOLEAN jjCOEFFS3_Id(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjREGULARITY(leftv res, leftv v)
static BOOLEAN jjHOMOG_W_M(leftv res, leftv v1, leftv v2, leftv v3)
static BOOLEAN jjMINUS_N(leftv res, leftv u, leftv v)
static BOOLEAN jjBREAK0(leftv, leftv)
static BOOLEAN jjTRACE_IV(leftv res, leftv v)
BOOLEAN iiExprArith2(leftv res, leftv a, int op, leftv b, BOOLEAN proccall)
static BOOLEAN jjMONOM(leftv res, leftv v)
static BOOLEAN jjSort_Id(leftv res, leftv v)
static BOOLEAN jjCOEF_M(leftv, leftv v)
static BOOLEAN jjidMinBase(leftv res, leftv v)
static BOOLEAN jjDEG_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjRING_2(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjMINUS_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjPREIMAGE_R(leftv res, leftv v)
static BOOLEAN jjHOMOG_P(leftv res, leftv u, leftv v)
static BOOLEAN jjBRACK_Im(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjMATRIX_Ma(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjidMaxIdeal(leftv res, leftv v)
static BOOLEAN jjMINOR_M(leftv res, leftv v)
static BOOLEAN jjCOUNT_BI(leftv res, leftv v)
static BOOLEAN jjPROC3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjKERNEL_M(leftv res, leftv v)
static BOOLEAN jjCOLS_BIM(leftv res, leftv v)
static BOOLEAN jjREDUCE3_CP(leftv res, leftv u, leftv v, leftv w)
struct sValCmd3 * psValCmd3
static BOOLEAN jjBRACK_Ma_I_IV(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjLE_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjPLUS_B_P(leftv res, leftv u, leftv v)
static BOOLEAN jjPlural_mat_mat(leftv res, leftv a, leftv b)
static BOOLEAN jjIDEAL_Map(leftv res, leftv v)
static BOOLEAN jjPARSTR2(leftv res, leftv u, leftv v)
BOOLEAN(* proc2)(leftv, leftv, leftv)
static BOOLEAN jjKoszul(leftv res, leftv u, leftv v)
static BOOLEAN jjTIMES_N(leftv res, leftv u, leftv v)
static BOOLEAN jjINTERSECT_PL(leftv res, leftv v)
static BOOLEAN jjTIMES_MA(leftv res, leftv u, leftv v)
static BOOLEAN jjTIMES_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjPLUS_I(leftv res, leftv u, leftv v)
static BOOLEAN jjINTERSEC3S(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjRES3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjBIGINTVEC_PL(leftv res, leftv v)
static BOOLEAN jjJET_P_IV(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjREDUCE_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjCOEF(leftv res, leftv u, leftv v)
BOOLEAN iiExprArith3Tab(leftv res, leftv a, int op, const struct sValCmd3 *dA3, int at, const struct sConvertTypes *dConvertTypes)
apply an operation 'op' to arguments a, a->next and a->next->next return TRUE on failure
static BOOLEAN jjOP_REST(leftv res, leftv u, leftv v)
static BOOLEAN jjEXECUTE(leftv, leftv v)
static BOOLEAN jjDEG_M_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjSTATUS3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjLEADEXP(leftv res, leftv v)
static BOOLEAN jjDEG_M(leftv res, leftv u)
static BOOLEAN jjPLUS_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjDIFF_COEF(leftv res, leftv u, leftv v)
int iiArithRemoveCmd(char *szName)
static BOOLEAN jjGE_N(leftv res, leftv u, leftv v)
static BOOLEAN jjEQUAL_SM(leftv res, leftv u, leftv v)
static BOOLEAN jjINTERPOLATION(leftv res, leftv l, leftv v)
static BOOLEAN jjSIMPL_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjRING3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjREDUCE_P(leftv res, leftv u, leftv v)
static BOOLEAN jjDIV_Ma(leftv res, leftv u, leftv v)
static BOOLEAN jjFRES3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjMODULO(leftv res, leftv u, leftv v)
static BOOLEAN jjCOMPARE_IV(leftv res, leftv u, leftv v)
STATIC_VAR int WerrorS_dummy_cnt
static BOOLEAN jjREAD2(leftv res, leftv u, leftv v)
static BOOLEAN jjREDUCE3_P(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjPAR1(leftv res, leftv v)
static BOOLEAN jjnlInt(leftv res, leftv u)
cmdnames * sCmds
array of existing commands
static BOOLEAN jjFAREY_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjPLUS_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjGCD_N(leftv res, leftv u, leftv v)
static BOOLEAN jjELIMIN(leftv res, leftv u, leftv v)
static BOOLEAN jjPLUSPLUS(leftv, leftv u)
static Subexpr jjMakeSub(leftv e)
static BOOLEAN jjCHINREM_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjROWS(leftv res, leftv v)
static BOOLEAN jjJET_ID(leftv res, leftv u, leftv v)
static BOOLEAN iiExprArith2TabIntern(leftv res, leftv a, int op, leftv b, BOOLEAN proccall, const struct sValCmd2 *dA2, int at, int bt, const struct sConvertTypes *dConvertTypes)
int IsCmd(const char *n, int &tok)
static BOOLEAN jjSBA(leftv res, leftv v)
static BOOLEAN jjOP_IM_I(leftv res, leftv u, leftv v)
static BOOLEAN jjJanetBasis(leftv res, leftv v)
static BOOLEAN jjKBASE(leftv res, leftv v)
static BOOLEAN jjTENSOR(leftv res, leftv u, leftv v)
static BOOLEAN jjmpTrace(leftv res, leftv v)
static BOOLEAN jjRING_PL(leftv res, leftv a)
static BOOLEAN jjREDUCE4(leftv res, leftv u)
static BOOLEAN jjFWALK(leftv res, leftv u, leftv v)
static BOOLEAN jjTEST(leftv, leftv v)
static BOOLEAN jjDIFF_ID_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjSYZ_2(leftv res, leftv u, leftv v)
static BOOLEAN jjPRUNE(leftv res, leftv v)
EXTERN_VAR int singclap_factorize_retry
static BOOLEAN jjDIVISION4(leftv res, leftv v)
unsigned nLastIdentifier
valid identifiers are slot 1..nLastIdentifier
static BOOLEAN jjDEFINED(leftv res, leftv v)
static BOOLEAN jjLagSolve(leftv res, leftv v)
static BOOLEAN jjRING_1(leftv res, leftv u, leftv v)
static BOOLEAN jjVDIM(leftv res, leftv v)
static BOOLEAN jjHILBERT3Qt(leftv, leftv u, leftv v, leftv w)
static BOOLEAN jjOP_I_BIM(leftv res, leftv u, leftv v)
static BOOLEAN jjCOUNT_N(leftv res, leftv v)
static BOOLEAN jjHILBERT2(leftv res, leftv u, leftv v)
static BOOLEAN jjFIND2(leftv res, leftv u, leftv v)
static BOOLEAN jjCOEF_Id(leftv res, leftv u, leftv v)
static BOOLEAN jjP2N(leftv res, leftv v)
static BOOLEAN jjE(leftv res, leftv v)
static BOOLEAN jjPOWER_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjTIMES_MA_BI1(leftv res, leftv u, leftv v)
BOOLEAN iiExprArith1(leftv res, leftv a, int op)
static BOOLEAN jjSTD_HILB_WP(leftv res, leftv INPUT)
static BOOLEAN jjLISTRING(leftv res, leftv v)
static BOOLEAN jjCOEFFS2_KB(leftv res, leftv u, leftv v)
static BOOLEAN jjLIFTSTD_M(leftv res, leftv U)
static BOOLEAN jjELIMIN_ALG(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjVAR1(leftv res, leftv v)
static BOOLEAN jjLEADCOEF(leftv res, leftv v)
static BOOLEAN jjVARSTR2(leftv res, leftv u, leftv v)
static BOOLEAN jjPLUS_N(leftv res, leftv u, leftv v)
static BOOLEAN jjSUBST_Id_X(leftv res, leftv u, leftv v, leftv w, int input_type)
static BOOLEAN jjUMINUS_BI(leftv res, leftv u)
int iiArithAddCmd(const char *szName, short nAlias, short nTokval, short nToktype, short nPos=-1)
static BOOLEAN jjpLength(leftv res, leftv v)
static BOOLEAN jjJET_P_P(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjLT_I(leftv res, leftv u, leftv v)
static BOOLEAN jjIS_RINGVAR0(leftv res, leftv)
static BOOLEAN jjEXTGCD_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjBI2P(leftv res, leftv u)
static BOOLEAN jjTWOSTD(leftv res, leftv a)
static BOOLEAN jjGCD_I(leftv res, leftv u, leftv v)
static BOOLEAN jjCONTRACT(leftv res, leftv u, leftv v)
static BOOLEAN jjFAC_P(leftv res, leftv u)
static BOOLEAN jjREDUCE3_CID(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjFAREY_LI(leftv res, leftv u, leftv v)
static BOOLEAN jjTRANSP_BIM(leftv res, leftv v)
static BOOLEAN jjCOUNT_RES(leftv res, leftv v)
static BOOLEAN jjDelete_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjGE_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjrOrdStr(leftv res, leftv v)
static BOOLEAN jjKERNEL(leftv res, leftv u, leftv v)
static BOOLEAN jjINTERSECT3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjBRACK_Ma(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjMOD_N(leftv res, leftv u, leftv v)
static BOOLEAN jjLOAD_E(leftv, leftv v, leftv u)
static BOOLEAN jjNEWSTRUCT3(leftv, leftv u, leftv v, leftv w)
static BOOLEAN jjHOMOG_P_W(leftv res, leftv u, leftv v, leftv)
static BOOLEAN jjpHead(leftv res, leftv v)
static BOOLEAN jjSUBST_Id(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjEQUAL_R(leftv res, leftv u, leftv v)
static BOOLEAN jjCOUNT_L(leftv res, leftv v)
struct sValCmdM * psValCmdM
static BOOLEAN jjDET_I(leftv res, leftv v)
static BOOLEAN jjCOUNT_RG(leftv res, leftv v)
static BOOLEAN jjSMATRIX_Mo(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjINTERSECT(leftv res, leftv u, leftv v)
static BOOLEAN jjrVarStr(leftv res, leftv v)
static BOOLEAN jjOP_BI_BIM(leftv res, leftv u, leftv v)
static BOOLEAN jjDIFF_P(leftv res, leftv u, leftv v)
static BOOLEAN check_valid(const int p, const int op)
static BOOLEAN jjSTRING_PL(leftv res, leftv v)
static BOOLEAN jjMINUS_B(leftv res, leftv u, leftv v)
static BOOLEAN jjRSUM(leftv res, leftv u, leftv v)
static BOOLEAN jjINDEX_I(leftv res, leftv u, leftv v)
static BOOLEAN jjPOWER_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjMONITOR1(leftv res, leftv v)
static BOOLEAN jjKLAMMER_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjFETCH(leftv res, leftv u, leftv v)
static BOOLEAN jjCALL3ARG(leftv res, leftv u)
static BOOLEAN jjSTD_1(leftv res, leftv u, leftv v)
static BOOLEAN jjUMINUS_N(leftv res, leftv u)
static BOOLEAN jjNUMERATOR(leftv res, leftv v)
Return the numerator of the input number.
static BOOLEAN jjORD(leftv res, leftv v)
static BOOLEAN jjTIMES_P(leftv res, leftv u, leftv v)
static BOOLEAN jjUMINUS_I(leftv res, leftv u)
static BOOLEAN jjPREIMAGE(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjBRACK_Ma_IV_IV(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjMRES_MAP(leftv res, leftv u, leftv v, leftv ma)
static BOOLEAN jjPLUS_SM(leftv res, leftv u, leftv v)
BOOLEAN jjLOAD_TRY(const char *s)
static BOOLEAN jjLIFT3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjENVELOPE(leftv res, leftv a)
static BOOLEAN jjSetRing(leftv, leftv u)
static BOOLEAN jjMINUS_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjTIMES_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjFACSTD2(leftv res, leftv v, leftv w)
static BOOLEAN jjINTVEC_PL(leftv res, leftv v)
STATIC_VAR SArithBase sArithBase
Base entry for arithmetic.
static BOOLEAN jjEXPORTTO(leftv, leftv u, leftv v)
static BOOLEAN jjPlural_num_poly(leftv res, leftv a, leftv b)
static BOOLEAN jjDIV_P(leftv res, leftv u, leftv v)
static BOOLEAN jjKBASE2(leftv res, leftv u, leftv v)
static BOOLEAN jjPOWER_I(leftv res, leftv u, leftv v)
static BOOLEAN jjRES(leftv res, leftv u, leftv v)
static int iin_Int(number &n, coeffs cf)
static BOOLEAN jjPLUS_P_MA(leftv res, leftv u, leftv v)
static BOOLEAN jjMINRES_R(leftv res, leftv v)
static BOOLEAN jjCOLS(leftv res, leftv v)
static BOOLEAN jjPLUS_BIM(leftv res, leftv u, leftv v)
static BOOLEAN jjP2BI(leftv res, leftv v)
static void WerrorS_dummy(const char *)
static BOOLEAN jjGE_I(leftv res, leftv u, leftv v)
static BOOLEAN jjTRANSP_IV(leftv res, leftv v)
static BOOLEAN jjGT_N(leftv res, leftv u, leftv v)
static BOOLEAN jjUNIVARIATE(leftv res, leftv v)
static BOOLEAN jjMODULO4(leftv res, leftv u)
static BOOLEAN jjHOMOG_ID_W(leftv res, leftv u, leftv v, leftv)
static BOOLEAN jjWEDGE(leftv res, leftv u, leftv v)
EXTERN_VAR BOOLEAN expected_parms
static BOOLEAN jjCOMPARE_P(leftv res, leftv u, leftv v)
static BOOLEAN jjFIND3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjLU_INVERSE(leftv res, leftv v)
static BOOLEAN jjMODULO3S(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjBAREISS_BIM(leftv res, leftv v)
static BOOLEAN jjPLUS_MA_P(leftv res, leftv u, leftv v)
static BOOLEAN jjSIMPL_P(leftv res, leftv u, leftv v)
static BOOLEAN jjPFAC1(leftv res, leftv v)
static BOOLEAN jjQRDS(leftv res, leftv INPUT)
static BOOLEAN jjELIMIN_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjCONTENT(leftv res, leftv v)
static BOOLEAN jjDIFF_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjSTD(leftv res, leftv v)
static BOOLEAN jjTIMES_BIM(leftv res, leftv u, leftv v)
static BOOLEAN jjTIMES_I(leftv res, leftv u, leftv v)
static BOOLEAN jjDIV_N(leftv res, leftv u, leftv v)
static BOOLEAN jjINTMAT3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjCOUNT_IV(leftv res, leftv v)
static BOOLEAN jjFRES(leftv res, leftv u, leftv v)
unsigned nCmdAllocated
number of commands-slots allocated
static BOOLEAN jjDUMMY(leftv res, leftv u)
static BOOLEAN jjS2I(leftv res, leftv v)
static BOOLEAN jjKLAMMER(leftv res, leftv u, leftv v)
BOOLEAN iiExprArith2Tab(leftv res, leftv a, int op, const struct sValCmd2 *dA2, int at, const struct sConvertTypes *dConvertTypes)
apply an operation 'op' to arguments a and a->next return TRUE on failure
static BOOLEAN jjBI2N(leftv res, leftv u)
static BOOLEAN jjRIGHTSTD(leftv res, leftv v)
BOOLEAN iiExprArithM(leftv res, leftv a, int op)
static BOOLEAN jjCOMPARE_MA(leftv res, leftv u, leftv v)
BOOLEAN iiExprArith3(leftv res, int op, leftv a, leftv b, leftv c)
static BOOLEAN jjGETDUMP(leftv, leftv v)
static BOOLEAN jjidFreeModule(leftv res, leftv v)
static BOOLEAN jjFAREY_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjBRACKET_REC(leftv res, leftv a, leftv b, leftv c)
static BOOLEAN jjCOMPARE_IV_I(leftv res, leftv u, leftv v)
static BOOLEAN jjRANDOM_Im(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjRESERVEDNAME(leftv res, leftv v)
struct sValCmd1 * psValCmd1
static BOOLEAN jjDIVMOD_I(leftv res, leftv u, leftv v)
static BOOLEAN jjLE_I(leftv res, leftv u, leftv v)
static BOOLEAN jjTENSOR_Ma(leftv res, leftv u, leftv v)
static BOOLEAN jjCOEFFS3_KB(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN iiExprArith3TabIntern(leftv res, int op, leftv a, leftv b, leftv c, const struct sValCmd3 *dA3, int at, int bt, int ct, const struct sConvertTypes *dConvertTypes)
static BOOLEAN jjRMINUS(leftv res, leftv u, leftv v)
BOOLEAN jjPROC(leftv res, leftv u, leftv v)
static BOOLEAN jjPLUS_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjHILBERT3(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjDET2(leftv res, leftv u, leftv v)
static BOOLEAN jjSTD_HILB(leftv res, leftv u, leftv v)
static BOOLEAN jjAND_I(leftv res, leftv u, leftv v)
static BOOLEAN jjINDEX_P_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjRPAR(leftv res, leftv v)
static BOOLEAN jjJanetBasis2(leftv res, leftv u, leftv v)
static BOOLEAN jjLOAD1(leftv, leftv v)
static BOOLEAN jjCOLON(leftv res, leftv u, leftv v)
const char * Tok2Cmdname(int tok)
static BOOLEAN jjRPLUS(leftv res, leftv u, leftv v)
static BOOLEAN jjKERNEL_SM(leftv res, leftv v)
static BOOLEAN jjCOLCOL(leftv res, leftv u, leftv v)
static BOOLEAN jjFAC_P2(leftv res, leftv u, leftv dummy)
static BOOLEAN jjHOMOG_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjrParStr(leftv res, leftv v)
struct sValCmd2 * psValCmd2
static BOOLEAN jjDEG(leftv res, leftv v)
static BOOLEAN jjFETCH_M(leftv res, leftv u)
static BOOLEAN jjINDEX_V(leftv res, leftv u, leftv v)
static BOOLEAN jjRINGLIST(leftv res, leftv v)
static BOOLEAN jjidElem(leftv res, leftv v)
static BOOLEAN jjDIM2(leftv res, leftv v, leftv w)
static BOOLEAN jjOP_BIM_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjGCD_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjBI2IM(leftv res, leftv u)
static BOOLEAN jjRANK2(leftv res, leftv u, leftv v)
static BOOLEAN jjDEGREE(leftv res, leftv v)
static BOOLEAN jjLIFTSTD_ALG(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjINDEPSET2(leftv res, leftv u, leftv v)
static BOOLEAN jjWAITALL2(leftv res, leftv u, leftv v)
static BOOLEAN jjOpenClose(leftv, leftv v)
static BOOLEAN jjBRACK_S(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjUMINUS_P(leftv res, leftv u)
static BOOLEAN jjMINUS_SM(leftv res, leftv u, leftv v)
static BOOLEAN jjHIGHCORNER_M(leftv res, leftv v)
static BOOLEAN jjNAMES(leftv res, leftv v)
static BOOLEAN jjINDEX_P(leftv res, leftv u, leftv v)
static BOOLEAN jjHIGHCORNER(leftv res, leftv v)
static BOOLEAN jjEQUAL_Ma(leftv res, leftv u, leftv v)
static BOOLEAN jjNAMES0(leftv res, leftv)
static BOOLEAN jjLOAD2(leftv, leftv, leftv v)
static BOOLEAN jjALIGN_M(leftv res, leftv u, leftv v)
static BOOLEAN jjWAIT1ST2(leftv res, leftv u, leftv v)
static BOOLEAN jjDIV_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjCOMPARE_BIM(leftv res, leftv u, leftv v)
static BOOLEAN jjEQUAL_N(leftv res, leftv u, leftv v)
static BOOLEAN jjDelete_ID_IV(leftv res, leftv u, leftv v)
static BOOLEAN jjDET2_S(leftv res, leftv u, leftv v)
static BOOLEAN jjCOEFFS_Id(leftv res, leftv u, leftv v)
STATIC_VAR si_char_2 Tok2Cmdname_buf
static BOOLEAN jjPROC1(leftv res, leftv u)
static BOOLEAN jjNOT(leftv res, leftv v)
static BOOLEAN jjPARSTR1(leftv res, leftv v)
static BOOLEAN jjSUBST_Id_N(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjJET4(leftv res, leftv u)
static BOOLEAN jjOPPOSE(leftv res, leftv a, leftv b)
static BOOLEAN jjMOD_P(leftv res, leftv u, leftv v)
BOOLEAN iiExprArith1Tab(leftv res, leftv a, int op, const struct sValCmd1 *dA1, int at, const struct sConvertTypes *dConvertTypes)
apply an operation 'op' to an argument a return TRUE on failure
static BOOLEAN jjPLUS_B(leftv res, leftv u, leftv v)
static BOOLEAN jjGCD_P(leftv res, leftv u, leftv v)
static BOOLEAN jjHOMOG1(leftv res, leftv v)
static BOOLEAN jjDET(leftv res, leftv v)
static void jjEQUAL_REST(leftv res, leftv u, leftv v)
static BOOLEAN jjCOUNT_M(leftv res, leftv v)
static BOOLEAN jjPLUS_V(leftv res, leftv u, leftv v)
static BOOLEAN jjKoszul_Id(leftv res, leftv u, leftv v)
static BOOLEAN jjKLAMMER_rest(leftv res, leftv u, leftv v)
static BOOLEAN jjCHINREM_ID(leftv res, leftv u, leftv v)
static BOOLEAN jjPLUS_S(leftv res, leftv u, leftv v)
static BOOLEAN jjHOMOG1_W(leftv res, leftv v, leftv u)
static BOOLEAN jjSBA_2(leftv res, leftv v, leftv u, leftv t)
static BOOLEAN jjINDEX_IV(leftv res, leftv u, leftv v)
unsigned nCmdUsed
number of commands used
static BOOLEAN jjRING_LIST(leftv res, leftv v)
static BOOLEAN jjBRACK_SM(leftv res, leftv u, leftv v, leftv w)
static BOOLEAN jjSUBST_Test(leftv v, leftv w, int &ringvar, poly &monomexpr)
static BOOLEAN jjMINUS_I(leftv res, leftv u, leftv v)
static BOOLEAN jjJET_P(leftv res, leftv u, leftv v)
static BOOLEAN jjVARSTR1(leftv res, leftv v)
char * iiArithGetCmd(int nPos)
static BOOLEAN jjSTATUS_M(leftv res, leftv v)
static BOOLEAN jjCALL1ARG(leftv res, leftv v)
static BOOLEAN jjPRUNE_MAP(leftv res, leftv v, leftv ma)
static BOOLEAN jjLT_BI(leftv res, leftv u, leftv v)
static BOOLEAN jjPOWER_P(leftv res, leftv u, leftv v)
BOOLEAN jjLIST_PL(leftv res, leftv v)
static BOOLEAN jjPLUSMINUS_Gen(leftv res, leftv u, leftv v)
static BOOLEAN jjCALL2ARG(leftv res, leftv u)
static BOOLEAN jjINDEX_PBu(leftv res, leftv u, leftv v)
static int iiTabIndex(const jjValCmdTab dArithTab, const int len, const int op)
static BOOLEAN jjSYZYGY(leftv res, leftv v)
static BOOLEAN jjPOWER_N(leftv res, leftv u, leftv v)
static BOOLEAN jjKLAMMER_PL(leftv res, leftv u)
static BOOLEAN jjSUBST_M(leftv res, leftv u)
static BOOLEAN jjEQUAL_P(leftv res, leftv u, leftv v)
static BOOLEAN jjLU_DECOMP(leftv res, leftv v)
static BOOLEAN jjPlural_num_mat(leftv res, leftv a, leftv b)
static BOOLEAN jjIDEAL_PL(leftv res, leftv v)
static BOOLEAN jjNVARS(leftv res, leftv v)
static BOOLEAN jjERROR(leftv, leftv u)
static BOOLEAN jjSTATUS2(leftv res, leftv u, leftv v)
static BOOLEAN jjALIGN_V(leftv res, leftv u, leftv v)
static BOOLEAN jjRINGLIST_C(leftv res, leftv v)
BOOLEAN iiConvert(int inputType, int outputType, int index, leftv input, leftv output, const struct sConvertTypes *dConvertTypes)
const struct sConvertTypes dConvertTypes[]
VAR omBin sip_command_bin
lists ipNameListLev(idhdl root, int lev)
idhdl enterid(const char *s, int lev, int t, idhdl *root, BOOLEAN init, BOOLEAN search)
lists ipNameList(idhdl root)
EXTERN_VAR omBin sleftv_bin
BOOLEAN load_builtin(const char *newlib, BOOLEAN autoexport, SModulFunc_t init)
int(* SModulFunc_t)(SModulFunctions *)
BOOLEAN iiLoadLIB(FILE *fp, const char *libnamebuf, const char *newlib, idhdl pl, BOOLEAN autoexport, BOOLEAN tellerror)
char * iiConvName(const char *libname)
BOOLEAN iiGetLibStatus(const char *lib)
BOOLEAN iiMake_proc(idhdl pn, package pack, leftv args)
BOOLEAN iiTryLoadLib(leftv v, const char *id)
BOOLEAN load_modules(const char *newlib, char *fullname, BOOLEAN autoexport)
INST_VAR sleftv iiRETURNEXPR
SModulFunc_t iiGetBuiltinModInit(const char *libname)
lists rDecompose(const ring r)
lists rDecompose_list_cf(const ring r)
BOOLEAN iiCheckTypes(leftv args, const short *type_list, int report)
check a list of arguemys against a given field of types return TRUE if the types match return FALSE (...
ring rInit(leftv pn, leftv rv, leftv ord)
leftv iiMap(map theMap, const char *what)
int iiRegularity(lists L)
BOOLEAN rDecompose_CF(leftv res, const coeffs C)
void iiMakeResolv(resolvente r, int length, int rlen, char *name, int typ0, intvec **weights)
int exprlist_length(leftv v)
BOOLEAN mpKoszul(leftv res, leftv c, leftv b, leftv id)
poly iiHighCorner(ideal I, int ak)
the smallest monomial not in R/I
lists scIndIndset(ideal S, BOOLEAN all, ideal Q)
idhdl rFindHdl(ring r, idhdl n)
syStrategy syConvList(lists li)
ring rCompose(const lists L, const BOOLEAN check_comp, const long bitmask, const int isLetterplace)
const char * lastreserved
lists syConvRes(syStrategy syzstr, BOOLEAN toDel, int add_row_shift)
BOOLEAN iiExport(leftv v, int toLev)
const struct sValCmd1 dArith1[]
BOOLEAN(* proc3)(leftv, leftv, leftv, leftv)
const struct sValCmd2 dArith2[]
BOOLEAN(* proc2)(leftv, leftv, leftv)
BOOLEAN setOption(leftv res, leftv v)
BOOLEAN(* proc1)(leftv, leftv)
const struct sValCmdM dArithM[]
const struct sValCmd3 dArith3[]
ideal id_Farey_0(ideal x, number N, const ring r)
long kHomModDeg(poly p, const ring r)
ideal kMin_std2(ideal F, ideal Q, tHomog h, intvec **w, ideal &M, bigintmat *hilb, int syzComp, int reduced)
ideal kInterRed(ideal F, const ideal Q)
ideal kStd2(ideal F, ideal Q, tHomog h, intvec **w, bigintmat *hilb, int syzComp, int newIdeal, intvec *vw, s_poly_proc_t sp)
generic interface to GB/SB computations, large hilbert vectors
ideal kSba(ideal F, ideal Q, tHomog h, intvec **w, int sbaOrder, int arri, bigintmat *hilb, int syzComp, int newIdeal, intvec *vw)
poly kNF(ideal F, ideal Q, poly p, int syzComp, int lazyReduce)
ideal rightgb(ideal F, const ideal Q)
poly redNF(poly h, int &max_ind, int nonorm, kStrategy strat)
ideal_list kStdfac(ideal F, ideal Q, tHomog h, intvec **w, ideal D)
VAR char libnamebuf[1024]
static bool rIsSCA(const ring r)
ideal idOppose(ring Rop_src, ideal I, const ring Rop_dst)
opposes a module I from Rop to currRing(dst)
poly pOppose(ring Rop_src, poly p, const ring Rop_dst)
opposes a vector p from Rop to currRing (dst!)
BOOLEAN rIsLikeOpposite(ring rBase, ring rCandidate)
checks whether rings rBase and rCandidate could be opposite to each other returns TRUE if it is so
BOOLEAN nc_CallPlural(matrix cc, matrix dd, poly cn, poly dn, ring r, bool bSetupQuotient, bool bCopyInput, bool bBeQuiet, ring curr, bool dummy_ring=false)
returns TRUE if there were errors analyze inputs, check them for consistency detects nc_type,...
poly nc_p_Bracket_qq(poly p, const poly q, const ring r)
returns [p,q], destroys p
int luRank(const matrix aMat, const bool isRowEchelon, const ring R)
Computes the rank of a given (m x n)-matrix.
bool luInverseFromLUDecomp(const matrix pMat, const matrix lMat, const matrix uMat, matrix &iMat, const ring R)
This code computes the inverse by inverting lMat and uMat, and then performing two matrix multiplicat...
void henselFactors(const int xIndex, const int yIndex, const poly h, const poly f0, const poly g0, const int d, poly &f, poly &g)
Computes a factorization of a polynomial h(x, y) in K[[x]][y] up to a certain degree in x,...
bool luInverse(const matrix aMat, matrix &iMat, const ring R)
This code first computes the LU-decomposition of aMat, and then calls the method for inverting a matr...
void luDecomp(const matrix aMat, matrix &pMat, matrix &lMat, matrix &uMat, const ring R)
LU-decomposition of a given (m x n)-matrix.
bool luSolveViaLUDecomp(const matrix pMat, const matrix lMat, const matrix uMat, const matrix bVec, matrix &xVec, matrix &H)
Solves the linear system A * x = b, where A is an (m x n)-matrix which is given by its LU-decompositi...
lists qrDoubleShift(const matrix A, const number tol1, const number tol2, const number tol3, const ring r=currRing)
Computes all eigenvalues of a given real quadratic matrix with multiplicites.
BOOLEAN jjANY2LIST(leftv res, leftv v, int cnt)
LINLINE void nlDelete(number *a, const coeffs r)
LINLINE number nlInit(long i, const coeffs r)
void maFetchPermLP(const ring preimage_r, const ring dst_r, int *perm)
void maFindPerm(char const *const *const preim_names, int preim_n, char const *const *const preim_par, int preim_p, char const *const *const names, int n, char const *const *const par, int nop, int *perm, int *par_perm, n_coeffType ch)
void maFindPermLP(char const *const *const preim_names, int preim_n, char const *const *const preim_par, int preim_p, char const *const *const names, int n, char const *const *const par, int nop, int *perm, int *par_perm, n_coeffType ch, int lV)
poly pSubstPoly(poly p, int var, poly image)
ideal idSubstPoly(ideal id, int n, poly e)
BOOLEAN maApplyFetch(int what, map theMap, leftv res, leftv w, ring preimage_r, int *perm, int *par_perm, int P, nMapFunc nMap)
ideal idSubstPar(ideal id, int n, poly e)
poly pSubstPar(poly p, int par, poly image)
BOOLEAN mp_IsDiagUnit(matrix U, const ring R)
matrix mp_Wedge(matrix a, int ar, const ring R)
matrix mp_Transp(matrix a, const ring R)
ideal sm_Tensor(ideal A, ideal B, const ring r)
ideal sm_Add(ideal a, ideal b, const ring R)
matrix mp_CoeffProc(poly f, poly vars, const ring R)
matrix pMultMp(poly p, matrix a, const ring R)
void mp_Monomials(matrix c, int r, int var, matrix m, const ring R)
DetVariant mp_GetAlgorithmDet(matrix m, const ring r)
matrix mp_CoeffProcId(ideal I, poly vars, const ring R)
poly sm_Det(ideal a, const ring r, DetVariant d)
matrix mp_MultI(matrix a, long f, const ring R)
c = f*a
ideal sm_Sub(ideal a, ideal b, const ring R)
ideal sm_Mult(ideal a, ideal b, const ring R)
matrix mp_Sub(matrix a, matrix b, const ring R)
poly mp_Det(matrix a, const ring r, DetVariant d)
matrix mpNew(int r, int c)
create a r x c zero-matrix
int mp_Compare(matrix a, matrix b, const ring R)
BOOLEAN sm_Equal(ideal a, ideal b, const ring R)
matrix mp_Mult(matrix a, matrix b, const ring R)
BOOLEAN mp_Equal(matrix a, matrix b, const ring R)
matrix mp_Coeffs(ideal I, int var, const ring R)
corresponds to Maple's coeffs: var has to be the number of a variable
void mp_Coef2(poly v, poly mon, matrix *c, matrix *m, const ring R)
corresponds to Macauley's coef: the exponent vector of vars has to contain the variables,...
matrix mp_MultP(matrix a, poly p, const ring R)
multiply a matrix 'a' by a poly 'p', destroy the args
matrix mp_Copy(matrix a, const ring r)
copies matrix a (from ring r to r)
matrix mp_Add(matrix a, matrix b, const ring R)
matrix mp_InitP(int r, int c, poly p, const ring R)
make it a p * unit matrix
poly mp_Trace(matrix a, const ring R)
#define MATELEM(mat, i, j)
1-based access to matrix
lists primeFactorisation(const number n, const int pBound)
Factorises a given bigint number n into its prime factors less than or equal to a given bound,...
This file provides miscellaneous functionality.
lib_types type_of_LIB(const char *newlib, char *libnamebuf)
static number & pGetCoeff(poly p)
return an alias to the leading coefficient of p assumes that p != NULL NOTE: not copy
BOOLEAN nuLagSolve(leftv res, leftv arg1, leftv arg2, leftv arg3)
find the (complex) roots an univariate polynomial Determines the roots of an univariate polynomial us...
The main handler for Singular numbers which are suitable for Singular polynomials.
ideal twostd(ideal I)
Compute two-sided GB:
void newstruct_setup(const char *n, newstruct_desc d)
newstruct_desc newstructChildFromString(const char *parent, const char *s)
newstruct_desc newstructFromString(const char *s)
CanonicalForm ndConvSingNFactoryN(number, BOOLEAN, const coeffs)
#define nPower(a, b, res)
#define omFreeSize(addr, size)
#define omRealloc(addr, size)
#define omFreeBin(addr, bin)
#define omFreeBinAddr(addr)
#define SI_RESTORE_OPT1(A)
#define SI_RESTORE_OPT2(A)
#define TEST_OPT_DEGBOUND
#define TEST_OPT_RETURN_SB
static int index(p_Length length, p_Ord ord)
void pRestoreDegProcs(ring r, pFDegProc old_FDeg, pLDegProc old_lDeg)
poly p_Homogen(poly p, int varnum, const ring r)
poly pp_DivideM(poly a, poly b, const ring r)
void p_Shift(poly *p, int i, const ring r)
shifts components of the vector p by i
void p_Normalize(poly p, const ring r)
int p_MaxExpPerVar(poly p, int i, const ring r)
max exponent of variable x_i in p
int p_Compare(const poly a, const poly b, const ring R)
poly p_Series(int n, poly p, poly u, intvec *w, const ring R)
long p_DegW(poly p, const int *w, const ring R)
poly p_Cleardenom(poly p, const ring r)
poly p_Vec2Poly(poly v, int k, const ring r)
void p_SetModDeg(intvec *w, ring r)
void pSetDegProcs(ring r, pFDegProc new_FDeg, pLDegProc new_lDeg)
long p_Deg(poly a, const ring r)
static poly p_Neg(poly p, const ring r)
static int pLength(poly a)
static long p_MinComp(poly p, ring lmRing, ring tailRing)
static void p_Delete(poly *p, const ring r)
static poly pp_Mult_qq(poly p, poly q, const ring r)
static long p_Totaldegree(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 ...
poly pp_Divide(poly p, poly q, const ring r)
polynomial division a/b, ignoring the rest via singclap_pdivide resp. idLift does not destroy a,...
poly singclap_gcd(poly f, poly g, const ring r)
polynomial gcd via singclap_gcd_r resp. idSyzygies destroys f and g
Compatibility layer for legacy polynomial operations (over currRing)
static long pTotaldegree(poly p)
#define pHead(p)
returns newly allocated copy of Lm(p), coef is copied, next=NULL, p might be NULL
#define pIsConstant(p)
like above, except that Comp must be 0
#define pGetComp(p)
Component.
#define pSetCoeff(p, n)
deletes old coeff before setting the new one
#define pLmInit(p)
like pInit, except that expvector is initialized to that of p, p must be != NULL
#define pIsUnit(p)
return true if the Lm is a constant <>0
#define pLmDelete(p)
assume p != NULL, deletes Lm(p)->coef and Lm(p)
static void pLmFree(poly p)
frees the space of the monomial m, assumes m != NULL coef is not freed, m is not advanced
#define pSeries(n, p, u, w)
#define pGetExp(p, i)
Exponent.
#define pInit()
allocates a new monomial and initializes everything to 0
#define pEqualPolys(p1, p2)
#define pLmCmp(p, q)
returns 0|1|-1 if p=q|p>q|p<q w.r.t monomial ordering
#define pCopy(p)
return a copy of the poly
#define pLmFreeAndNext(p)
assumes p != NULL, deletes p, returns pNext(p)
ideal maGetPreimage(ring theImageRing, map theMap, ideal id, const ring dst_r)
const char feNotImplemented[]
void PrintS(const char *s)
void Werror(const char *fmt,...)
int rSum(ring r1, ring r2, ring &sum)
int r_IsRingVar(const char *n, char **names, int N)
ring rMinusVar(const ring r, char *v)
undo rPlusVar
BOOLEAN rSamePolyRep(ring r1, ring r2)
returns TRUE, if r1 and r2 represents the monomials in the same way FALSE, otherwise this is an analo...
char * rCharStr(const ring r)
TODO: make it a virtual method of coeffs, together with: Decompose & Compose, rParameter & rPar.
void rDelete(ring r)
unconditionally deletes fields in r
ring rDefault(const coeffs cf, int N, char **n, int ord_size, rRingOrder_t *ord, int *block0, int *block1, int **wvhdl, unsigned long bitmask)
ring rPlusVar(const ring r, char *v, int left)
K[x],"y" -> K[x,y] resp. K[y,x].
int n_IsParam(const number m, const ring r)
TODO: rewrite somehow...
static BOOLEAN rField_is_Zp_a(const ring r)
static BOOLEAN rField_is_Z(const ring r)
static BOOLEAN rField_is_Zp(const ring r)
static BOOLEAN rHasLocalOrMixedOrdering(const ring r)
static BOOLEAN rIsPluralRing(const ring r)
we must always have this test!
long(* pFDegProc)(poly p, ring r)
static ring rIncRefCnt(ring r)
static BOOLEAN rField_is_Domain(const ring r)
long(* pLDegProc)(poly p, int *length, ring r)
static int rPar(const ring r)
(r->cf->P)
static BOOLEAN rIsLPRing(const ring r)
static BOOLEAN rField_is_Q(const ring r)
static char const ** rParameter(const ring r)
(r->cf->parameter)
static BOOLEAN rField_is_numeric(const ring r)
static BOOLEAN rField_is_GF(const ring r)
static short rVar(const ring r)
#define rVar(r) (r->N)
static BOOLEAN rHasMixedOrdering(const ring r)
#define rField_is_Ring(R)
void sBucket_Add_p(sBucket_pt bucket, poly p, int length)
adds poly p to bucket destroys p!
void sBucketCanonicalize(sBucket_pt bucket)
sBucket_pt sBucketCreate(const ring r)
poly sBucketPeek(sBucket_pt b)
void sBucketDestroyAdd(sBucket_pt bucket, poly *p, int *length)
BOOLEAN sdb_set_breakpoint(const char *pp, int given_lineno)
BOOLEAN slPrepClose(si_link l)
leftv slRead(si_link l, leftv a)
BOOLEAN slDump(si_link l)
BOOLEAN slGetDump(si_link l)
const char * slStatus(si_link l, const char *request)
BOOLEAN slClose(si_link l)
BOOLEAN slOpen(si_link l, short flag, leftv h)
#define SI_LINK_SET_CLOSE_P(l)
int slStatusSsiL(lists L, int timeout, BOOLEAN *ignore=NULL)
ideal id_Vec2Ideal(poly vec, const ring R)
ideal idInit(int idsize, int rank)
initialise an ideal / module
void id_Delete(ideal *h, ring r)
deletes an ideal/module/matrix
void id_Norm(ideal id, const ring r)
ideal id = (id[i]), result is leadcoeff(id[i]) = 1
BOOLEAN id_HomModuleW(ideal id, ideal Q, const intvec *w, const intvec *module_w, const ring r)
void id_Normalize(ideal I, const ring r)
normialize all polys in id
ideal id_Transp(ideal a, const ring rRing)
transpose a module
ideal id_FreeModule(int i, const ring r)
the free module of rank i
ideal id_Homogen(ideal h, int varnum, const ring r)
ideal id_Power(ideal given, int exp, const ring r)
matrix id_Module2Matrix(ideal mod, const ring R)
ideal id_Head(ideal h, const ring r)
returns the ideals of initial terms
BOOLEAN id_HomIdealW(ideal id, ideal Q, const intvec *w, const ring r)
long id_RankFreeModule(ideal s, ring lmRing, ring tailRing)
return the maximal component number found in any polynomial in s
void id_DelDiv(ideal id, const ring r)
delete id[j], if LT(j) == coeff*mon*LT(i) and vice versa, i.e., delete id[i], if LT(i) == coeff*mon*L...
void id_DelMultiples(ideal id, const ring r)
ideal id = (id[i]), c any unit if id[i] = c*id[j] then id[j] is deleted for j > i
matrix id_Module2formatedMatrix(ideal mod, int rows, int cols, const ring R)
ideal id_Matrix2Module(matrix mat, const ring R)
converts mat to module, destroys mat
ideal id_ResizeModule(ideal mod, int rows, int cols, const ring R)
ideal id_Delete_Pos(const ideal I, const int p, const ring r)
void id_DelEquals(ideal id, const ring r)
ideal id = (id[i]) if id[i] = id[j] then id[j] is deleted for j > i
ideal id_Jet(const ideal i, int d, const ring R)
void id_DelLmEquals(ideal id, const ring r)
Delete id[j], if Lm(j) == Lm(i) and both LC(j), LC(i) are units and j > i.
ideal id_JetW(const ideal i, int d, intvec *iv, const ring R)
void idSkipZeroes(ideal ide)
gives an ideal/module the minimal possible size
void id_Shift(ideal M, int s, const ring r)
ideal id_ChineseRemainder(ideal *xx, number *q, int rl, const ring r)
ideal id_Subst(ideal id, int n, poly e, const ring r)
static int idElem(const ideal F)
number of non-zero polys in F
void sm_CallBareiss(ideal I, int x, int y, ideal &M, intvec **iv, const ring R)
ideal sm_CallSolv(ideal I, const ring R)
EXTERN_VAR omBin char_ptr_bin
void syMake(leftv v, const char *id, package pa)
INST_VAR sleftv sLastPrinted
BOOLEAN assumeStdFlag(leftv h)
resolvente syResolvente(ideal arg, int maxlength, int *length, intvec ***weights, BOOLEAN minim)
syStrategy syMres_with_map(ideal arg, int maxlength, intvec *w, ideal &trans)
syStrategy syResolution(ideal arg, int maxlength, intvec *w, BOOLEAN minim)
ideal syMinBase(ideal arg)
syStrategy syHilb(ideal arg, int *length)
resolvente sySchreyerResolvente(ideal arg, int maxlength, int *length, BOOLEAN isMonomial=FALSE, BOOLEAN notReplace=FALSE)
syStrategy sySchreyer(ideal arg, int maxlength)
int syDim(syStrategy syzstr)
syStrategy syMinimize(syStrategy syzstr)
syStrategy syCopy(syStrategy syzstr)
syStrategy syKosz(ideal arg, int *length)
int sySize(syStrategy syzstr)
syStrategy syFrank(const ideal arg, const int length, const char *method, const bool use_cache=true, const bool use_tensor_trick=false)
syStrategy syLaScala3(ideal arg, int *length)
ideal t_rep_gb(const ring r, ideal arg_I, int syz_comp, BOOLEAN F4_mode)
number ntDiff(number a, number d, const coeffs cf)
ideal fractalWalkProc(leftv first, leftv second)
ideal walkProc(leftv first, leftv second)
int * iv2array(intvec *iv, const ring R)
BOOLEAN jjStdJanetBasis(leftv res, leftv v, int flag)
flag: 0: JB, 1: SB
#define omPrintBinStats(F)