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)",
982 if ((a!=0)&&(c/a!=
b))
983 WarnS(
"int overflow(*), result may be wrong");
984 res->data = (
char *)c;
1001 res->data=(
char *)n;
1020 Warn(
"possible OVERFLOW in mult(d=%ld, d=%ld, max=%ld)",
1033 Warn(
"possible OVERFLOW in mult(d=%ld, d=%ld, max=%ld)",
1065 WerrorS(
"intmat size not compatible");
1077 WerrorS(
"bigintmat/cmatrix not compatible");
1091 res->data = (
char *)
I;
1104 res->data = (
char *)
I;
1113 res->data = (
char *)
I;
1142 Werror(
"matrix size not compatible(%dx%d, %dx%d) in *",
1156 Werror(
"matrix size not compatible(%dx%d, %dx%d) in *",
1173 res->data = (
char *)(
long)((
int)((
long)u->
Data()) >= (
int)((
long)
v->Data()));
1191 res->data = (
char *)(
long)((
int)((
long)u->
Data()) > (
int)((
long)
v->Data()));
1205 res->data = (
char *)(
long)((
int)((
long)u->
Data()) <= (
int)((
long)
v->Data()));
1218 res->data = (
char *)(
long)((
int)((
long)u->
Data()) < (
int)((
long)
v->Data()));
1243 r=((a-c) /
b);
break;
1245 res->data=(
void *)r;
1258 res->data = (
char *)q;
1271 res->data = (
char *)q;
1276 poly q=(poly)
v->Data();
1277 poly
p=(poly)(u->
Data());
1294 poly q=(poly)
v->Data();
1318 res->data=(
char *)
mm;
1347 res->data = (
char *)(
long)(u->
Data()==
v->Data());
1359 poly
p=(poly)u->
Data();
1360 poly q=(poly)
v->Data();
1380 res->data = (
char *)((
long)u->
Data() && (
long)
v->Data());
1385 res->data = (
char *)((
long)u->
Data() || (
long)
v->Data());
1414 WerrorS(
"indexed object must have a name");
1425 t.
data=(
char *)((
long)(*iv)[
i]);
1448 poly
p=(poly)u->
Data();
1488 poly
p=(poly)u->
Data();
1512 res->data=(
char *)r;
1517 poly
p=(poly)u->
Data();
1518 int i=(
int)(
long)
v->Data();
1553 res->data=(
char *)r;
1611 while (
h->next!=
NULL)
h=
h->next;
1646 if (sl)
return TRUE;
1688 for(
i=
rl-1;
i>=0;
i--)
1695 for(
i=
rl-1;
i>=0;
i--)
1701 res->data=(
char *)n;
1714 for(
i=
rl-1;
i>=0;
i--)
1720 for(
i=
rl-1;
i>=0;
i--)
1724 Werror(
"poly expected at pos %d",
i+1);
1725 for(
i=
rl-1;
i>=0;
i--)
1737 for(
i=
rl-1;
i>=0;
i--)
1750 for(
i=
rl-1;
i>=0;
i--)
1758 for(
i=
rl-1;
i>=0;
i--)
1780 int s=(
int)(
long)
v->Data();
1793 poly
p=(poly)
v->Data();
1800 poly
p=(poly)
v->Data();
1807 int i=
pVar((poly)
v->Data());
1843 res->data = (
char *)((
long)d);
1848 poly
p=(poly)u->
Data();
1854 res->data = (
char *)(d);
1857 res->data=(
char *)(
long)(-1);
1862 int pos=(
int)(
long)
v->Data();
1869 int pos=(
int)(
long)
v->Data();
1910 int i=
pVar((poly)
v->Data());
1921 int i=
pVar((poly)
v->Data());
1940 Warn(
"dim(%s,...) may be wrong because the mixed monomial ordering",
v->Name());
1969 res->data=(
char *)L;
2015 res->data=(
char *)L;
2022 int f0 = 1, f1 = 0,
g0 = 0,
g1 = 1, q, r;
2043 res->data=(
char *)L;
2053 res->data=(
char *)L;
2054 L->
m[0].
data=(
void *)r;
2068 if ((sw<0)||(sw>2))
fac_sw=1;
2081 l->m[0].data=(
void *)
f;
2083 l->m[1].data=(
void *)
v;
2084 res->data=(
void *)
l;
2089 res->data=(
void *)
f;
2102 res->data=(
void *)
p;
2129 res->data=(
void *)L;
2209 if (r->cf->extRing!=
NULL)
2211 r_par=r->cf->extRing->N;
2227 #ifdef HAVE_SHIFTBBA
2262 Print(
"// par nr %d: %s -> %s\n",
2302 char *what=(
char *)
v->Data();
2319 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");
2345 res->data = (
void *)r;
2353 w->data = (
char *)
"complete";
2375 res->data=(
char *)(
long)
p0;
2412 PrintS(
"// NOTE: computation of Hilbert series etc. is being\n");
2413 PrintS(
"// performed for generic fibre, that is, over Q\n");
2418 switch((
int)(
long)
v->Data())
2431 switch((
int)(
long)
v->Data())
2434 res->data=(
void *)iv;
2448 int i=
pVar((poly)
v->Data());
2460 WerrorS(
"variable must have weight 1");
2465 int i=
pVar((poly)
v->Data());
2482 WerrorS(
"variable must have weight 1");
2528 const int n = L->
nr;
assume (n >= 0);
2529 std::vector<ideal> V(n + 1);
2596 Werror(
"At least %d ncgen variables are needed for this computation.",
ul);
2633 char *
s=(
char *)u->
Data();
2638 WerrorS(
"invalid second argument");
2639 WerrorS(
"load(\"libname\" [,option]);");
2669 if ((*w_u).compare((
w_v))!=0)
2671 WarnS(
"incompatible weights");
2680 WarnS(
"wrong weights");
2719 poly q=(poly)
v->Data();
2725 poly
p=(poly)(u->
Data());
2743 char *
opt=(
char *)
v->Data();
2755 if(
strcmp(
l->m->type,
"ASCII")!=0)
2757 Werror(
"ASCII link required, not `%s`",
l->m->type);
2762 if (
l->name[0]!=
'\0')
2767 else opt=(
const char *)
v->Data();
2809 const char *
s=(
const char *)u->
Data();
2816 else WerrorS(
"name of newstruct must be longer than 1 character");
2822 int i=(
int)(
long)
v->Data();
2830 Werror(
"par number %d out of range 1..%d",
i,
p);
2840 WerrorS(
"basering must NOT be a qring!");
2860 WerrorS(
"basering must NOT be a qring!");
2880 WerrorS(
"basering must NOT be a qring!");
2900 WerrorS(
"basering must NOT be a qring!");
2922 const poly q = (poly)
b->Data();
2935 const poly
p = (poly)a->
Data();
2949 const poly q = (poly)
b->Data();
2954 const poly
p = (poly)a->
Data();
2959 for (
int i = 0;
i <
k;
i++)
2977 Werror(
"invalid number of iterations");
2990 res->data =
b->Data();
2991 res->rtyp =
b->rtyp;
2996 Werror(
"%s is not an opposite ring to current ring",a->
Fullname());
3009 res->rtyp = argtype;
3017 res->rtyp = argtype;
3025 res->rtyp = argtype;
3038 res->rtyp = argtype;
3043 WerrorS(
"unsupported type in oppose");
3061 WerrorS(
"expected prune_map(`module`,`smatrix`)`");
3071 WarnS(
"wrong weights");
3111 int j=(
int)(
long)
v->Data();
3112 if (
j-
i <0) {
WerrorS(
"invalid range for random");
return TRUE;}
3122 res->data =(
char *)(
long)rank;
3134 Werror(
"cannot read from `%s`",
s);
3163 WerrorS(
"length for res must not be negative");
3178 "full resolution in a qring may be infinite, setting max length to %d",
3215 (
"`lres` not implemented for inhomogeneous input or qring");
3219 WarnS(
"the current implementation of `lres` may not work in the case of a single variable");
3229 (
"`kres` not implemented for inhomogeneous input or qring");
3241 (
"`hres` not implemented for inhomogeneous input or qring");
3259 res->data=(
void *)r;
3306 i = (
int)(
long)
v->Data();
3310 res->data = (
char*)
l;
3316 res->data = (
char *)r;
3329 res->data = (
char *)r;
3336 res->data = (
char *)r;
3339#define SIMPL_NORMALIZE 64
3340#define SIMPL_LMDIV 32
3341#define SIMPL_LMEQ 16
3348 int sw = (
int)(
long)
v->Data();
3379 res->data = (
char * )
id;
3401 l->m[0].data=(
void *)
f;
3403 l->m[1].data=(
void *)
v;
3404 res->data=(
void *)
l;
3409 res->data=(
void *)
f;
3422 res->data=(
void *)
p;
3443 int sw = (
int)(
long)
v->Data();
3454 res->data = (
char * )
p;
3478 for(
int i=0;
i<
vv->cols();
i++)
3500 poly
p=(poly)
v->Data();
3606 res->data = (
char *)S;
3613 for(
int i=0;
i<
vl;
i++)
3622 for(
int i=0;
i<
vl;
i++)
3666 int i=(
int)(
long)
v->Data();
3687 int t = (
int)(
long)
v->Data();
3697 res->data = (
void*)(
long)
i;
3745 res->data = (
void*)(
long)
ret;
3807 res->data = (
char *)n;
3812 res->data = (
char *)(-(
long)u->
Data());
3819 res->data = (
char *)n;
3837 res->data = (
char *)iv;
3844 res->data = (
char *)bim;
3883 l->m[0].data=(
void *)
m;
3884 l->m[1].data=(
void *)iv;
3885 res->data = (
char *)
l;
3951 res->data = (
char *)r->cf;
3961 res->data = (
char *)(
long)((
bigintmat*)(
v->Data()))->cols();
3966 res->data = (
char *)(
long)((
intvec*)(
v->Data()))->cols();
3974 res->data = (
char *)
p;
3985 res->data = (
char *)(
long)(
aa->rows()*
aa->cols());
4007 res->data = (
char *)(
long)((
intvec*)(
v->Data()))->length();
4018 extern int ipower (
int b,
int n );
4019 elems=
ipower(r->cf->ch,r->cf->extRing->pFDeg(r->cf->extRing->qideal->m[0],r->cf->extRing));
4021 res->data = (
char *)(
long)elems;
4027 poly
p=(poly)
v->Data();
4029 else res->data=(
char *)-1;
4040 res->data = (
char *)(
long)d;
4048 PrintS(
"// NOTE: computation of degree is being performed for\n");
4049 PrintS(
"// generic fibre, that is, over Q\n");
4067 else if (
v->rtyp!=0)
res->data=(
void *)(-1);
4099 i=
m->rows();
j=
m->cols();
4104 Werror(
"det of %d x %d bigintmat",
i,
j);
4115 i=
m->rows();
j=
m->cols();
4119 r->cf=
m->basecoeffs();
4124 Werror(
"det of %d x %d cmatrix",
i,
j);
4135 i=
m->rows();
j=
m->cols();
4140 Werror(
"det of %d x %d intmat",
i,
j);
4159 WerrorS(
"`dim` is not implemented for letterplace rings over rings");
4164 WerrorS(
"qring not supported by `dim` for letterplace rings at the moment");
4169 return (
gkDim == -2);
4174 Warn(
"dim(%s) may be wrong because the mixed monomial ordering",
v->Name());
4187 Werror(
"cannot dump to `%s`",
s);
4196 int co=(
int)(
long)
v->Data();
4202 else WerrorS(
"argument of gen must be positive");
4207 char * d = (
char *)
v->Data();
4247 WarnS(
"no factorization implemented");
4251 res->data=(
void *)L;
4264 l->m[0].data=(
void *)
f;
4266 l->m[1].data=(
void *)
v;
4267 res->data=(
void *)
l;
4278 Werror(
"cannot get dump from `%s`",
s);
4310 WerrorS(
"module must be zero-dimensional");
4335 res->data=(
void *)
po;
4342 PrintS(
"// NOTE: computation of Hilbert series etc. is being\n");
4343 PrintS(
"// performed for generic fibre, that is, over Q\n");
4355 PrintS(
"// NOTE: computation of Hilbert series etc. is being\n");
4356 PrintS(
"// performed for generic fibre, that is, over Q\n");
4378 else if (
w!=
NULL)
delete w;
4399 int deg = (
int)(
long)
v->Data();
4402 WerrorS(
"degree bound of Letterplace ring is to small");
4427 res->data=(
char *)
I;
4437 if (q->qideal==
NULL)
4444 WerrorS(
"can only get ideal from identical qring");
4478 res->data = (
void*)iv;
4483 res->data = (
char *)(
long)
pVar((poly)
v->Data());
4494 res->data = (
char *)0;
4501 poly
p=(poly)(
v->Data());
4506 res->data = (
char *)
i;
4513 WerrorS(
"differentiation not defined in the coefficient ring");
4540 for(
int i = 0;
i <
W;
i++,
p++, q++ )
4583 poly
p=(poly)
v->Data();
4597 poly
p=(poly)
v->Data();
4610 res->data=(
char *)iv;
4615 poly
p=(poly)
v->Data();
4624 res->data = (
char*)
lm;
4638 res->data=(
char *)r;
4653 memset(&a2,0,
sizeof(a2));
4671 WerrorS(
"matrix must be constant");
4685 res->data=(
char*)
ll;
4695 switch(((
int)(
long)
v->Data()))
4710 res->data = (
char *)0;
4727 l->m[0].data=(
char *)r;
4730 l->m[1].data=(
char *)
m;
4731 res->data=(
char *)
l;
4761 res->data=(
void *)n;
4791 res->data=(
char*)(
long)((
long)
v->Data()==0 ? 1 : 0);
4796 res->data = (
char *)(
long)(((
ring)(
v->Data()))->N);
4807 poly
p=(poly)
v->Data();
4813 int i=(
int)(
long)
v->Data();
4816 if ((0<
i) && (
i<=
p))
4822 Werror(
"par number %d out of range 1..%d",
i,
p);
4837 WerrorS(
"no ring active (1)");
4840 int i=(
int)(
long)
v->Data();
4846 Werror(
"par number %d out of range 1..%d",
i,
p);
4853 poly
p=(poly)
v->Data();
4857 WerrorS(
"poly must be constant");
4866 res->data=(
void *)n;
4873 poly
p=(poly)
v->Data();
4877 WerrorS(
"poly must be constant");
4891 int i =
IsPrime((
int)(
long)(
v->Data()));
4892 res->data = (
char *)(
long)(
i > 1 ?
i : 2);
4903 WarnS(
"wrong weights");
4923 if (((
p=(poly)
v->Data())!=
NULL)
4932 res->data = (
char *)n;
4937 char *
s= (
char *)
v->Data();
4944 res->data = (
char *)1;
4953 res->data = (
char *)1;
4961 res->data =(
char *)(
long)rank;
4986 long mm=r->wanted_maxExp;
5010 res->data = (
char *)
i->rank;
5015 res->data = (
char *)(
long)((
bigintmat*)(
v->Data()))->rows();
5020 res->data = (
char *)(
long)((
intvec*)(
v->Data()))->rows();
5030 res->data = (
char *)(
long)
atoi((
char*)
v->Data());
5039 WerrorS(
"qring not supported by slimgb at the moment");
5044 WerrorS(
"ordering must be global for slimgb");
5048 WarnS(
"groebner base computations with inexact coefficients can not be trusted due to rounding errors");
5056 WarnS(
"wrong weights");
5085 WarnS(
"wrong weights");
5111 WarnS(
"wrong weights");
5137 WarnS(
"wrong weights");
5156 WarnS(
"groebner base computations with inexact coefficients can not be trusted due to rounding errors");
5165 WarnS(
"wrong weights");
5196 l->m[0].data=(
void *)
f;
5198 l->m[1].data=(
void *)
v;
5199 res->data=(
void *)
l;
5221 Werror(
"At least %d ncgen variables are needed for this computation.",
IDELEMS(
v_id));
5252 res->data = (
char *)S;
5259 for(
int i=0;
i<
vl;
i++)
5268 for(
int i=0;
i<
vl;
i++)
5291 res->data = (
char *)(((
bigintmat*)(
v->Data()))->transpose());
5310 WarnS(
"opposite only for global orderings");
5354#if defined(HAVE_SHIFTBBA) || defined(HAVE_PLURAL)
5358 WarnS(
"groebner base computations with inexact coefficients can not be trusted due to rounding errors");
5401 res->data = (
char *)
J;
5415 int t=(
int)(
long)
v->data;
5466 int i=(
int)(
long)
v->Data();
5472 res->data=(
char *)
p;
5485 WerrorS(
"no ring active (2)");
5488 int i=(
int)(
long)
v->Data();
5506 WerrorS(
"`vdim` is not implemented for letterplace rings over rings");
5511 WerrorS(
"qring not supported by `vdim` for letterplace rings at the moment");
5515 res->data = (
char *)(
long)
kDim;
5516 return (
kDim == -2);
5521 WerrorS(
"int overflow in vdim");
5522 res->data = (
char *)
l;
5537 res->data = (
void*)(
long)
i;
5559 if((
i == -1)||(
j==0))
5571 res->data = (
void*)(
long)
j;
5580#ifdef HAVE_DYNAMIC_LOADING
5587 Werror(
"%s: unknown type",
s);
5611 package pa=IDPACKAGE(pl);
5615 Werror(
"can not create package `%s` - binaries exists",
plib);
5621 package savepack=currPack;
5637#ifdef HAVE_DYNAMIC_LOADING
5640 WerrorS(
"Dynamic modules are not supported by this version of Singular");
5660 Print(
"loading of >%s< failed\n",
s);
5669 res->data = (
char *)
strlen((
char *)
v->Data());
5674 res->data = (
char *)(
long)
pLength((poly)
v->Data());
5699 res->data = (
char *)
pHead((poly)
v->Data());
5783 char *
s= (
char *)u->
Data();
5784 int r = (
int)(
long)
v->Data();
5785 int c = (
int)(
long)
w->Data();
5788 if ( (r<1) || (r>
l) || (c<0) )
5800 int r = (
int)(
long)
v->Data();
5801 int c = (
int)(
long)
w->Data();
5802 if ((r<1)||(r>iv->
rows())||(c<1)||(c>iv->
cols()))
5804 Werror(
"wrong range[%d,%d] in intmat %s(%d x %d)",
5817 while (
h->next!=
NULL)
h=
h->next;
5827 int r = (
int)(
long)
v->Data();
5828 int c = (
int)(
long)
w->Data();
5829 if ((r<1)||(r>bim->
rows())||(c<1)||(c>bim->
cols()))
5831 Werror(
"wrong range[%d,%d] in bigintmat %s(%d x %d)",
5845 while (
h->next!=
NULL)
h=
h->next;
5855 int r = (
int)(
long)
v->Data();
5856 int c = (
int)(
long)
w->Data();
5860 Werror(
"wrong range[%d,%d] in matrix %s(%d x %d)",r,c,u->
Fullname(),
5874 while (
h->next!=
NULL)
h=
h->next;
5884 int r = (
int)(
long)
v->Data();
5885 int c = (
int)(
long)
w->Data();
5887 if ((r<1)||(r>
m->rank)||(c<1)||(c>
IDELEMS(
m)))
5889 Werror(
"wrong range[%d,%d] in matrix %s(%d x %d)",r,c,u->
Fullname(),
5903 while (
h->next!=
NULL)
h=
h->next;
5914 WerrorS(
"cannot build expression lists from unnamed objects");
5929 t.
data=(
char *)(
long)((*iv)[
l]);
5964 WerrorS(
"cannot build expression lists from unnamed objects");
5978 t.
data=(
char *)(
long)((*iv)[
l]);
6013 WerrorS(
"cannot build expression lists from unnamed objects");
6031 t1.
data=(
char *)(
long)((*vv)[
vl]);
6034 t2.
data=(
char *)(
long)((*wv)[
wl]);
6084 int k=(
int)(
long)
w->Data();
6091 l->m[0].data=(
void *)
m;
6092 l->m[1].data=(
void *)iv;
6099 l->m[0].data=(
void *)
m;
6101 res->data = (
char *)
l;
6108 WerrorS(
"3rd argument must be a name of a matrix");
6112 int rank=(
int)
i->rank;
6121 (
ideal)(
v->Data()),(poly)(
w->Data()));
6128 WerrorS(
"3rd argument must be a name of a matrix");
6163 for(
int i=0;
i<
ww->cols();
i++)
6182 int n=(
int)(
long)
w->Data();
6184 char *what=(
char *)
v->Data();
6188 Werror(
"start position %d out of range",n);
6192 if (*(what+1)!=
'\0')
6207 if ((
int)(
long)
w->Data()==0)
6219 Werror(
"weight vector must have size %d, not %d",
6225 PrintS(
"// NOTE: computation of Hilbert series etc. is being\n");
6226 PrintS(
"// performed for generic fibre, that is, over Q\n");
6232 switch((
int)(
long)
v->Data())
6248 PrintS(
"// NOTE: computation of Hilbert series etc. is being\n");
6249 PrintS(
"// performed for generic fibre, that is, over Q\n");
6253 char *
name=(
char*)
w->Data();
6269 int i=
pVar((poly)
v->Data());
6281 WerrorS(
"variable must have weight 1");
6287 int i=
pVar((poly)
v->Data());
6299 WerrorS(
"variable must have weight 1");
6312 intvec* im=
new intvec((
int)(
long)
v->Data(),(
int)(
long)
w->Data(), 0);
6318 (*im)[
i] = (*arg)[
i];
6321 res->data = (
char *)im;
6356 WerrorS(
"2nd argument must be a unit");
6372 WerrorS(
"2nd argument must be a diagonal matrix of units");
6419 Werror(
"`%s` is undefined",
v->Fullname());
6526 if ((!
noK) && (
k == 0))
6528 WerrorS(
"Provided number of minors to be computed is zero.");
6535 WerrorS(
"Expected as algorithm one of 'B/bareiss', 'L/laplace', or 'C/cache'.");
6541 Werror(
"Bareiss algorithm not defined over coefficient rings %s",
6542 "with zero divisors.");
6545 if ((
mk < 1) || (
mk >
m->rows()) || (
mk >
m->cols()))
6579 WerrorS(
"3rd argument must have a name");
6585 WerrorS(
"length for res must not be negative");
6600 "full resolution in a qring may be infinite, setting max length to %d",
6638 res->data=(
void *)r;
6664 (
const char *)
w->Data());
6678 WerrorS(
"2nd/3rd arguments must have names");
6692 Werror(
"preimage ring `%s` is not the basering",
mapping->preimage);
6736 WarnS(
"preimage in local qring may be wrong: use Ring::preimageLoc instead");
6746 int r=(
int)(
long)
v->Data();
6747 int c=(
int)(
long)
w->Data();
6748 if ((r<=0) || (c<=0))
return TRUE;
6764 res->data = (
char *)iv;
6774 Werror(
"no random function defined for coeff %d",
cf->type);
6793 poly
p=(poly)
v->Data();
6797 Werror(
"`%s` substitutes a ringvar only by a term",
6811 WerrorS(
"ringvar/par expected");
6836 poly
p=(poly)u->
Data();
6856 WerrorS(
"Substituting parameters not implemented for Letterplace rings.");
6889 Warn(
"possible OVERFLOW in subst, max exponent is %ld",
currRing->bitmask/2);
6903 WerrorS(
"Substituting parameters not implemented for Letterplace rings.");
6933 int mi=(
int)(
long)
v->Data();
6934 int ni=(
int)(
long)
w->Data();
6937 Werror(
"converting ideal to matrix: dimensions must be positive(%dx%d)",
mi,
ni);
6951 res->data = (
char *)
m;
6956 int mi=(
int)(
long)
v->Data();
6957 int ni=(
int)(
long)
w->Data();
6960 Werror(
"converting module to matrix: dimensions must be positive(%dx%d)",
mi,
ni);
6969 int mi=(
int)(
long)
v->Data();
6970 int ni=(
int)(
long)
w->Data();
6973 Werror(
"converting matrix to matrix: dimensions must be positive(%dx%d)",
mi,
ni);
6990 res->data = (
char *)
m;
7017 if ((*w_u).compare((
w_v))!=0)
7019 WarnS(
"incompatible weights");
7028 WarnS(
"wrong weights");
7069 if ((*w_u).compare((
w_v))!=0)
7071 WarnS(
"incompatible weights");
7080 WarnS(
"wrong weights");
7097 int mi=(
int)(
long)
v->Data();
7098 int ni=(
int)(
long)
w->Data();
7101 Werror(
"converting to smatrix: dimensions must be positive(%dx%d)",
mi,
ni);
7118 Werror(
"At least %d ncgen variables are needed for this computation.",
ul);
7149 &(
hw->data.uideal));
7180 Werror(
"`%s` must be 0-dimensional",
v->Name());
7192 Werror(
"`%s` must be 0-dimensional",
v->Name());
7203 0,(
int)(
long)
w->Data());
7210 0,(
int)(
long)
w->Data());
7235 WarnS(
"wrong weights");
7264 yes = (
strcmp((
char *)
res->data, (
char *)
w->Data()) == 0);
7266 res->data = (
void *)(
long)
yes;
7285 WarnS(
"wrong weights");
7296 for(
int i=0;
i<
vv->cols();
i++)
7397 WarnS(
"<module>,<module>,<int>[,<intvec>] expected!");
7407 int n=(
int)(
long)
v3->Data();
7414 while( (
i > 0) && ((*
w0) > 0) )
7420 WarnS(
"not all weights are positive!");
7439 L->
m[1].
data=(
void *)
R->m[0];
7523 res->data=(
char *)
id;
7536 WerrorS(
"fetch(<ring>,<name>[,<intvec>[,<intvec>])");
7600 Warn(
"invalid entry for var %d: %d\n",
i,perm[
i]);
7609 Print(
"// var nr %d: %s -> var %s\n",
i,r->names[
i-1],
currRing->names[perm[
i]-1]);
7616 Print(
"// par nr %d: %s -> par %s\n",
7619 Print(
"// par nr %d: %s -> var %s\n",
7654 int l=
v->listLength();
7685 WerrorS(
"cannot convert to ideal or module");
7750 Werror(
"given matrix (%d x %d) is not quadratic, hence not invertible",
rr,
cc);
7755 WerrorS(
"matrix must be constant");
7769 Werror(
"third matrix (%d x %d) is not quadratic, hence not invertible",
7778 WerrorS(
"matricesx must be constant");
7785 Werror(
"expected either one or three matrices");
7803 res->data=(
char*)
ll;
7827 WerrorS(
"expected exactly three matrices and one vector as input");
7837 Werror(
"first matrix (%d x %d) is not quadratic",
7843 Werror(
"second matrix (%d x %d) is not quadratic",
7849 Werror(
"second matrix (%d x %d) and third matrix (%d x %d) do not fit",
7855 Werror(
"third matrix (%d x %d) and vector (%d x 1) do not fit",
7864 WerrorS(
"matrices must be constant");
7884 res->data=(
char*)
ll;
7898 (*iv)[
i]=(
int)(
long)
h->Data();
7917 res->data=(
char *)iv;
7970 for(
int j=0;
j<
b->cols();
j++)
7978 res->data=(
char *)bim;
7995 WerrorS(
"2nd argument must be a unit");
7998 res->rtyp=
u1->Typ();
8008 WerrorS(
"2nd argument must be a diagonal matrix of units");
8011 res->rtyp=
u1->Typ();
8022 Werror(
"%s(`poly`,`poly`,`int`,`intvec`) exppected",
8040 else if (
w->next==
NULL)
8088 Werror(
"`%s` undefined or `int` expected while building `%s(`",u->
name,u->
name);
8098 while (*
s!=
'\0')
s++;
8102 Werror(
"`%s` undefined or `int` expected while building `%s(`",u->
name,u->
name);
8108 while (*
s!=
'\0')
s++;
8142 Werror(
"%s(`ideal`,`ideal`,`matrix`,`string`)\n"
8143 "or (`module`,`module`,`matrix`,`string`) expected",
8175 syz=&(
hw->data.uideal);
8182 syz=&(
hw->data.uideal);
8192 Werror(
"%s(`ideal/module`,`matrix`[,`module`][,`string`][,`ideal/module`]) expected",
Tok2Cmdname(
iiOp));
8204 syz=&(
hw->data.uideal);
8210 Werror(
"%s(`ideal/module`,`matrix`[,`module`][,`string`][,`ideal/module`]) expected",
Tok2Cmdname(
iiOp));
8241 if (
v!=
NULL) sl =
v->listLength();
8274 Werror(
"`%s` is undefined",
h->Fullname());
8286 res->data=(
char *)L;
8329 if ((*w_u).compare((
w_v))!=0)
8331 WarnS(
"incompatible weights");
8340 WarnS(
"wrong weights");
8402 WerrorS(
"2nd argument must be a diagonal matrix of units");
8409 (
int)(
long)
u4->Data()
8419 else u1p=(poly)
u1->Data();
8422 else u2p=(poly)
u2->Data();
8426 WerrorS(
"2nd argument must be a unit");
8455 WerrorS(
"2nd argument must be a diagonal matrix of units");
8462 (
int)(
long)
u4->Data(),
8474 WerrorS(
"2nd argument must be a unit");
8485 Werror(
"%s(`ideal`,`ideal`,`matrix`,`int`,`intvec`) exppected",
8588 res->data=(
void *)L;
8599 int n =
v->listLength();
8602 res->data =
v->String();
8639#if defined(__alpha) && !defined(linux)
8674 WerrorS(
"expected arguments (poly, int [, poly, poly] [, int, int])");
8677 else h = (poly)u->
Data();
8681 WerrorS(
"expected arguments (poly, int [, poly, poly] [, int, int])");
8684 else d = (
int)(
long)u->
Data();
8690 WerrorS(
"expected arguments (poly, int [, poly, poly] [, int, int])");
8705 WerrorS(
"expected arguments (poly, int [, poly, poly] [, int, int])");
8717 WerrorS(
"expected arguments (poly, int [, poly, poly] [, int, int])");
8724 WerrorS(
"expected non-constant polynomial argument(s)");
8730 Werror(
"index for variable x (%d) out of range [1..%d]",
xIndex, n);
8735 Werror(
"index for variable y (%d) out of range [1..%d]",
yIndex, n);
8740 WerrorS(
"expected distinct indices for variables x and y");
8759 WerrorS(
"expected h(0,y) to have exactly two distinct monic factors");
8774 res->data = (
char*)L;
8785#if defined(HAVE_USLEEP)
8786 if (((
long)
res->data) == 0L)
8795#elif defined(HAVE_SLEEP)
8796 if (((
int)
res->data) == 0)
8842 WerrorS(
"expected (matrix, number, number, number) as arguments");
8865 WerrorS(
"expected `std(`ideal/module`,`poly/vector`,`intvec`,`intvec`)");
8880 i0->m[0]=(poly)
v->Data();
8889 WerrorS(
"expected `std(`ideal/module`,`poly/vector`,`intvec`,`intvec`)");
8906 WarnS(
"wrong weights");
8940 WerrorS(
"expected `cring` [ `id` ... ]");
8946 char **n=(
char**)
omAlloc0(
N*
sizeof(
char*));
8947 for(
int i=0;
i<
N;
i++,names=names->
next)
8949 n[
i]=(
char *)names->
Name();
8961 r->start =(
int)(
long)e->
Data();
8970 PrintS(
"delete all variables\n");
8975 default:
WerrorS(
"not implemented");
8980#define NULL_VAL NULL
8984#include "iparith.inc"
9002 while (
dA2[
i].cmd==op)
9016 WerrorS(
"no ring active (3)");
9042 while (
dA2[
i].cmd==op)
9060 WerrorS(
"no ring active (4)");
9108 Werror(
"`%s` is not defined",
s);
9115 Werror(
"%s(`%s`,`%s`) failed"
9120 Werror(
"`%s` %s `%s` failed"
9125 while (
dA2[
i].cmd==op)
9132 Werror(
"expected %s(`%s`,`%s`)"
9135 Werror(
"expected `%s` %s `%s`"
9180 res->data=(
char *)d;
9232 while (
dA1[
i].cmd==op)
9244 WerrorS(
"no ring active (5)");
9271 while (
dA1[
i].cmd==op)
9287 WerrorS(
"no ring active (6)");
9336 while (
dA1[
i].cmd==op)
9340 Werror(
"expected %s(`%s`)"
9366 res->data=(
char *)d;
9379 res->data=
bb->blackbox_Init(
bb);
9380 return bb->blackbox_Assign(
res,a);
9390 if(!
bb->blackbox_Op1(op,
res,a))
return FALSE;
9421 while (
dA3[
i].cmd==op)
9433 Print(
"call %s(%s,%s,%s)\n",
9456 while (
dA3[
i].cmd==op)
9472 Print(
"call %s(%s,%s,%s)\n",
9527 Werror(
"`%s` is not defined",
s);
9533 Werror(
"%s(`%s`,`%s`,`%s`) failed"
9537 while (
dA3[
i].cmd==op)
9544 Werror(
"expected %s(`%s`,`%s`,`%s`)"
9581 res->data=(
char *)d;
9665 res->data=(
char *)d;
9703 if(!
bb->blackbox_OpM(op,
res,a))
return FALSE;
9718 if ((args==
dArithM[
i].number_of_args)
9720 || ((
dArithM[
i].number_of_args==-2)&&(args>0)))
9818 Warn(
"outdated identifier `%s` used - please change your code",
9892 if (
tok==
NONE)
return "nothing";
9904 if (
tok==
IDHDL)
return "identifier";
9950 if(
strcmp(
pCmdL->name,
"$INVALID$")==0)
return -1;
9954 if (
pCmdL->tokval==-1)
9956 if (
pCmdR->tokval==-1)
9962 if(
pCmdR->tokval==-1)
return -1;
10170 WerrorS(
"not implemented for non-commutative rings");
10192 WerrorS(
"not implemented for rings with rings as coeffients");
10197 WerrorS(
"not implemented for rings with rings as coeffients and non-global orderings");
10204 WerrorS(
"domain required as coeffients");
10210 WarnS(
"considering the image in Q[...]");
10222 WerrorS(
"not implemented for rings with rings as coeffients (except ZZ)");
10250 if (
bo) {
Werror(
"chinrem failed for list entry %d",
i+1);
break;}
10260 WerrorS(
"poly/ideal/module/matrix/list expected");
10270 cf=
cf->extRing->cf;
10279 Werror(
"wromg number of primes (%d:%d) for chinrem",pl->
nr+1,
rl);
10299 for(
i=
rl-1;
i>=0;
i--)
10327 for(
i=
rl-1;
i>=0;
i--)
10339 Werror(
"bigint expected at pos %d",
i+1);
10349 for(
i=
rl-1;
i>=0;
i--)
10356 for(
i=
rl-1;
i>=0;
i--)
10368 Werror(
"bigint expected at pos %d",
i+1);
10384 res->data=(
char *)n;
10407 for(
i=
rl-1;
i>=0;
i--)
10427 if (
bo) {
Werror(
"farey failed for list entry %d",
i+1);
break;}
10440 if (
at <
bt)
return -1;
10441 if (
at >
bt)
return 1;
10451 unsigned long bd=(
unsigned long)
b->Data();
10452 if (
ad<
bd)
return -1;
10453 else if (
ad==
bd)
return 0;
10465 unsigned long bd=(
unsigned long)
b->Data();
10466 if (
ad<
bd)
return -1;
10467 else if (
ad==
bd)
return 0;
10470 else if (
tmp.data==
NULL)
return 1;
10498 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)
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 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 jjHILBERT3Qt(leftv res, leftv u, leftv v, leftv w)
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)
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)
ideal id_ChineseRemainder_0(ideal *xx, number *q, int rl, const ring r)
long kHomModDeg(poly p, const ring r)
ideal kMin_std(ideal F, ideal Q, tHomog h, intvec **w, ideal &M, intvec *hilb, int syzComp, int reduced)
ideal kInterRed(ideal F, const ideal Q)
poly kNF(ideal F, ideal Q, poly p, int syzComp, int lazyReduce)
ideal kSba(ideal F, ideal Q, tHomog h, intvec **w, int sbaOrder, int arri, intvec *hilb, int syzComp, int newIdeal, intvec *vw)
ideal kStd(ideal F, ideal Q, tHomog h, intvec **w, intvec *hilb, int syzComp, int newIdeal, intvec *vw, s_poly_proc_t sp)
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 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)
BOOLEAN rHasMixedOrdering(const ring r)
static BOOLEAN rField_is_GF(const ring r)
static short rVar(const ring r)
#define rVar(r) (r->N)
BOOLEAN rHasLocalOrMixedOrdering(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)