19#include "ccluster/ccluster.h"
22#include "factory/factory.h"
24#ifdef TIME_WITH_SYS_TIME
26# ifdef HAVE_SYS_TIME_H
30# ifdef HAVE_SYS_TIME_H
36#ifdef HAVE_SYS_TIMES_H
140#ifndef MAKE_DISTRIBUTION
141#define HAVE_EXTENDED_SYSTEM 1
166#ifndef MAKE_DISTRIBUTION
182 for (
int i = 0 ;
i < n;
i++)
185 for (
int r = 0; r < n; r++)
186 for (
int c = 0; c < n; c++)
261 r = (
ring)
h->Data();
285 t.it_value.tv_sec =(
unsigned)((
unsigned long)
h->Data());
299 poly
p=(poly)
h->CopyD();
317 #ifdef _SC_NPROCESSORS_ONLN
319 #elif defined(_SC_NPROCESSORS_CONF)
397 WerrorS(
"nc_Hilb:ideal expected");
402 lV = (
int)(
long)
h->Data();
405 WerrorS(
"nc_Hilb:int expected");
411 if((
int)(
long)
h->Data() == 1)
413 else if((
int)(
long)
h->Data() == 2)
423 WerrorS(
"nc_Hilb:int 1,2, total degree for the truncation, and a string for printing the details are expected");
436 WerrorS(
"system(\"verifyGB\",<ideal>,..) expects a commutative ring");
442 Werror(
"expected system(\"verifyGB\",<ideal/module>), found <%s>",
Tok2Cmdname(
h->Typ()));
465 poly
w=(poly)
h->Data();
467 int lV = (
int)(
long)
h->Data();
482 WerrorS(
"shell execution is disallowed in restricted mode");
488 res->data = (
void*)(
long)
system((
char*)(
h->Data()));
505 p = (poly)
h->CopyD();
515 int bound = (
int)(
long)
h->next->next->Data();
542 #define TEST_FOR(A) if(strcmp(s,A)==0) res->data=(void *)1; else
543 char *
s=(
char *)
h->Data();
556 #ifdef TEST_MAC_ORDER
561 #ifdef HAVE_DYNAMIC_LOADING
607 const char *r=
getenv((
char *)
h->Data());
627 setenv((
char *)
h->Data(), (
char *)
h->next->Data(), 1);
637 WerrorS(
"setenv not supported on this platform");
665 if (r ==
NULL) r=
"/usr/local";
668 #define SINGULAR_PROCS_DIR "/libexec/singular/MOD"
707 res->data = (
void*)
s;
723 WerrorS(
"Use 'system(\"--\");' for listing of available options");
752 WerrorS(
"Need string or int argument to set option value");
760 Werror(
"Need string argument to set value of option %s",
sys_cmd);
825 WerrorS(
"unsupported ground field!");
832 (
int)((
long)(
h->next->Data())));
848 WerrorS(
"unsupported ground field!");
878 res->data = (
char *)L;
922 poly
l = (poly)
h->next->next->next->next->Data();
923 poly u = (poly)
h->next->next->next->next->next->Data();
924 poly
lTimesU = (poly)
h->next->next->next->next->next->next->Data();
929 Werror(
"first matrix (%d x %d) is not quadratic",
935 Werror(
"second matrix (%d x %d) is not quadratic",
941 Werror(
"third matrix (%d x %d) is not quadratic",
947 Werror(
"third matrix (%d x %d) and fourth matrix (%d x %d) %s",
954 Werror(
"fourth matrix (%d x %d) and vector (%d x 1) do not fit",
984 #ifndef SI_COUNTEDREF_AUTOLOAD
993 #ifndef SI_COUNTEDREF_AUTOLOAD
1002#ifdef HAVE_SIMPLEIPC
1008 if ((
h->next->next!=
NULL)&& (
h->next->next->Typ()==
INT_CMD))
1009 v=(
int)(
long)
h->next->next->Data();
1016 WerrorS(
"Usage: system(\"semaphore\",<cmd>,int)");
1030 res->data=(
void*)(
long)
p;
1052 (
int)(
long)
h->next->next->next->Data(),
1065 char *n=(
char*)
h->Data();
1076 else Werror(
"'%s' is not a newstruct",n);
1078 else Werror(
"'%s' is not a blackbox object",n);
1091 #if defined(HAVE_FLINT) || defined(HAVE_NTL)
1109 l->m[0].data=(
void *)
f;
1111 l->m[1].data=(
void *)
v;
1113 l->m[2].data=(
void*)
mipos;
1115 l->m[3].data=(
void*) (
long) n;
1116 res->data=(
void *)
l;
1148 #if __FLINT_RELEASE >= 20500
1170 WerrorS(
"matrix,int or bigint,int expected");
1175 if(((
int)((
long)(
h->next->Data())) != 0) && (
int)((
long)(
h->next->Data()) != 1))
1177 WerrorS(
"int is different from 0, 1");
1181 if((
long)(
h->next->Data()) == 0)
1196 if((
long)(
h->next->Data()) == 1)
1202 for(
int i = 1;
i<=
m->rows();
i++)
1220 for(
int i = 1;
i<=
m->rows();
i++)
1242 #if defined(HAVE_FLINT) || defined(HAVE_NTL)
1250 #if defined(HAVE_FLINT)
1252 #elif defined(HAVE_NTL)
1261 #if defined(HAVE_FLINT)
1263 #elif defined(HAVE_NTL)
1271 WerrorS(
"expected system(\"rref\",<matrix>/<smatrix>)");
1316 #ifdef HAVE_EIGENVAL
1324 #ifdef HAVE_EIGENVAL
1332 #ifdef HAVE_EIGENVAL
1340 #ifdef HAVE_EIGENVAL
1360 "Olaf Bachmann, Michael Brickenstein, Hubert Grassmann, Kai Krueger, Victor Levandovskyy, Wolfgang Neumann, Thomas Nuessler, Wilfred Pohl, Jens Schmidt, Mathias Schulze, Thomas Siebert, Ruediger Stobbe, Moritz Wenk, Tim Wichmann");
1365 #ifdef HAVE_SPECTRUM
1380 if(((
long)
h->next->Data())==1L)
1392 if (
h->next->next==
NULL)
1394 else if (
h->next->next->Typ()==
INT_CMD)
1424 #define HAVE_SHEAFCOH_TRICKS 1
1426 #ifdef HAVE_SHEAFCOH_TRICKS
1433 int m = (
int)( (
long)
h->Data() );
1469 poly
p=(poly)
h->CopyD();
1471 poly q=(poly)
h->Data();
1493 WerrorS(
"`system(\"env\",<ring>)` expected");
1512 WerrorS(
"`system(\"opp\",<ring>)` expected");
1523 && (
h->next!=
NULL))
1538 WerrorS(
"`system(\"oppose\",<ring>,<poly>)` expected");
1568 Werror(
"system(\"walkNextWeight\" ...) intvecs not of length %d\n",
1574 (
ideal)
h->next->next->Data());
1575 if (
res->data ==
NULL ||
res->data == (
void*) 1L)
1595 WerrorS(
"system(\"walkInitials\", ideal) expected");
1623 #ifdef MwaklNextWeight
1631 Werror(
"system(\"MwalkNextWeight\" ...) intvecs not of length %d\n",
1652 WerrorS(
"system(\"Mivdp\", int) expected");
1655 if ((
int) ((
long)(
h->Data())) !=
currRing->N)
1657 Werror(
"system(\"Mivdp\" ...) intvecs not of length %d\n",
1661 int arg1 = (
int) ((
long)(
h->Data()));
1675 WerrorS(
"system(\"Mivlp\", int) expected");
1678 if ((
int) ((
long)(
h->Data())) !=
currRing->N)
1680 Werror(
"system(\"Mivlp\" ...) intvecs not of length %d\n",
1684 int arg1 = (
int) ((
long)(
h->Data()));
1699 poly arg1 = (poly)
h->Data();
1700 poly arg2 = (poly)
h->next->Data();
1716 poly arg1 = (poly)
h->Data();
1717 poly arg2 = (poly)
h->next->Data();
1749 res->data = (
void*)(
long)
MivSame(arg1, arg2);
1779 res->data = (
void*)(
long)
M3ivSame(arg1, arg2, arg3);
1792 Werror(
"system \"MwalkInitialForm\"...) intvec not of length %d\n",
1812 WerrorS(
"system(\"MivMatrixOrder\",intvec) expected");
1829 WerrorS(
"system(\"MivMatrixOrderdp\",intvec) expected");
1832 int arg1 = (
int) ((
long)(
h->Data()));
1848 int arg3 = (
int) ((
long)(
h->next->next->Data()));
1864 int arg3 = (
int) ((
long)(
h->next->next->Data()));
1893 int arg1 = (
int) ((
long)(
h->Data()));
1921 WerrorS(
"system(\"MivWeightOrderdp\",intvec) expected");
1939 WerrorS(
"system(\"MivMatrixOrderlp\",int) expected");
1942 int arg1 = (
int) ((
long)(
h->Data()));
1959 Werror(
"system(\"MkInterRedNextWeight\" ...) intvecs not of length %d\n",
1975 #ifdef MPertNextWeight
1982 Werror(
"system(\"MPertNextWeight\" ...) intvecs not of length %d\n",
1988 int arg3 = (
int)
h->next->next->Data();
1999 #ifdef Mivperttarget
2005 int arg2 = (
int)
h->next->Data();
2023 Werror(
"system(\"Mwalk\" ...) intvecs not of length %d\n",
2031 int arg5 = (
int) (
long)
h->next->next->next->next->Data();
2032 int arg6 = (
int) (
long)
h->next->next->next->next->next->Data();
2052 Werror(
"system(\"Mwalk\" ...) intvecs not of length %d or %d\n",
2074 Werror(
"system(\"Mpwalk\" ...) intvecs not of length %d\n",
currRing->N);
2078 int arg2 = (
int) (
long)
h->next->Data();
2079 int arg3 = (
int) (
long)
h->next->next->Data();
2082 int arg6 = (
int) (
long)
h->next->next->next->next->next->Data();
2083 int arg7 = (
int) (
long)
h->next->next->next->next->next->next->Data();
2084 int arg8 = (
int) (
long)
h->next->next->next->next->next->next->next->Data();
2104 Werror(
"system(\"Mrwalk\" ...) intvecs not of length %d or %d\n",
2111 int arg4 = (
int)(
long)
h->next->next->next->Data();
2112 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2113 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2114 int arg7 = (
int)(
long)
h->next->next->next->next->next->next->Data();
2131 Werror(
"system(\"MAltwalk1\" ...) intvecs not of length %d\n",
2136 int arg2 = (
int) ((
long)(
h->next->Data()));
2137 int arg3 = (
int) ((
long)(
h->next->next->Data()));
2157 Werror(
"system(\"Mfwalk\" ...) intvecs not of length %d\n",
2164 int arg4 = (
int)
h->next->next->next->Data();
2182 Werror(
"system(\"Mfwalk\" ...) intvecs not of length %d\n",
2189 int arg4 = (
int)(
long)
h->next->next->next->Data();
2190 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2217 Werror(
"system(\"Mfrwalk\" ...) intvecs not of length %d or %d\n",
2225 int arg4 = (
int)(
long)
h->next->next->next->Data();
2226 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2227 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2244 Werror(
"system(\"Mrwalk\" ...) intvecs not of length %d or %d\n",
2251 int arg4 = (
int)(
long)
h->next->next->next->Data();
2252 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2253 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2254 int arg7 = (
int)(
long)
h->next->next->next->next->next->next->Data();
2255 int arg8 = (
int)(
long)
h->next->next->next->next->next->next->next->Data();
2256 int arg9 = (
int)(
long)
h->next->next->next->next->next->next->next->next->Data();
2274 Werror(
"system(\"TranMImprovwalk\" ...) intvecs not of length %d\n",
2298 Werror(
"system(\"MAltwalk2\" ...) intvecs not of length %d\n",
2321 Werror(
"system(\"TranMImprovwalk\" ...) intvecs not of length %d\n",
2328 int arg4 = (
int) ((
long)(
h->next->next->next->Data()));
2344 h->next->next->next ==
NULL ||
h->next->next->next->Typ() !=
INT_CMD ||
2345 h->next->next->next ==
NULL ||
h->next->next->next->next->Typ() !=
INT_CMD ||
2346 h->next->next->next ==
NULL ||
h->next->next->next->next->next->Typ() !=
INT_CMD)
2348 WerrorS(
"system(\"TranMrImprovwalk\", ideal, intvec, intvec) expected");
2354 Werror(
"system(\"TranMrImprovwalk\" ...) intvecs not of length %d\n",
currRing->N);
2360 int arg4 = (
int)(
long)
h->next->next->next->Data();
2361 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2362 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2373 #ifndef MAKE_DISTRIBUTION
2384#ifdef HAVE_EXTENDED_SYSTEM
2388# include "hc_newton.h"
2402 const char *
s=(
const char *)
h->Data();
2403 if (
strcmp(
s,
"posInT_EcartFDegpLength")==0)
2405 else if (
strcmp(
s,
"posInT_FDegpLength")==0)
2407 else if (
strcmp(
s,
"posInT_pLength")==0)
2409 else if (
strcmp(
s,
"posInT0")==0)
2411 else if (
strcmp(
s,
"posInT1")==0)
2413 else if (
strcmp(
s,
"posInT2")==0)
2415 else if (
strcmp(
s,
"posInT11")==0)
2417 else if (
strcmp(
s,
"posInT110")==0)
2419 else if (
strcmp(
s,
"posInT13")==0)
2421 else if (
strcmp(
s,
"posInT15")==0)
2423 else if (
strcmp(
s,
"posInT17")==0)
2425 else if (
strcmp(
s,
"posInT17_c")==0)
2427 else if (
strcmp(
s,
"posInT19")==0)
2429 else PrintS(
"valid posInT:0,1,2,11,110,13,15,17,17_c,19,_EcartFDegpLength,_FDegpLength,_pLength,_EcartpLength\n");
2446 poly
f=(poly)
h->Data();
2451 int n=(
int)((
long)
h->Data());
2521 WarnS(
"Sorry: not available for release build!");
2531 int k = (
int)(
long)
h->Data();
2544 WarnS(
"Sorry: not available for release build!");
2560 for (
int i = 1;
i <=
varN;
i++)
2568 res->data = (
void*)0L;
2584 char *
fn=(
char*)
h->Data();
2587 Warn(
"Can not open %s for writing og mtrack. Using stdout",
fn);
2600 WerrorS(
"system(\"mtrack\",..) is not implemented in this version");
2615#if !defined(OM_NDEBUG)
2621 PrintS(
"\n[om_Info]: \n");
2623#define OM_PRINT(name) Print(" %-22s : %10ld \n", #name, om_Info . name)
2649 PrintS(
"\n[om_Opts]: \n");
2650#define OM_PRINT(format, name) Print(" %-22s : %10" format"\n", #name, om_Opts . name)
2666 Print(
"\n\n[om_ErrorStatus] : '%s' (%s)\n",
2669 Print(
"[om_InternalErrorStatus]: '%s' (%s)\n",
2706 WarnS(
"Wrong types for poly= comb(ideal,poly)");
2711 (
ideal)
h->Data(),(poly)
h->next->Data());
2727 WarnS(
"Wrong types for poly= comb(ideal,poly)");
2732 (
ideal)
h->Data(),(poly)
h->next->Data());
2767 || (
h->next->next->Typ()!=
INT_CMD))
2769 WerrorS(
"system(\"newton\",<poly>,<int>,<int>) expected");
2772 poly
p=(poly)(
h->Data());
2791 (
int) (
h->next->Data()),
2792 (
int) (
h->next->next->Data())
2805 L->
m[1].
data=(
void *)(
long)r.achse;
2807 L->
m[2].
data=(
void *)(
long)r.deg;
2811 L->
m[3].
data=(
void *)(
long)r.anz_punkte;
2813 int anz = r.anz_punkte;
2816 for (
i=0;
i<anz*
dim;
i++)
2826 (*w)[
i] = r.deg_tab[
i];
2829 while (r.deg_tab[
i-1] != -2);
2840 res->data=(
void *)L;
2867 Werror(
"expected exactly one argument: %s",
2868 "a square matrix with number entries");
2878 WerrorS(
"expected exactly one argument: "
2879 "a square matrix with number entries");
2887 for (
int i = 0;
i < n;
i++)
delete[]
ml[
i];
2904 WerrorS(
"system(\"sdb_flags\",`int`) expected");
2917 WerrorS(
"shell execution is disallowed in restricted mode");
2927 WerrorS(
"system(\"sdb_edit\",`proc`) expected");
2966 poly
f = (poly)
h->Data();
3031 poly
f = (poly)
h->Data();
3041 poly
f =
pCopy((poly)
h->Data());
3043 poly
g =
pCopy((poly)
h->Data());
3068 WerrorS(
"`system(\"AltVarStart/End\"[,<ring>])` expected");
3083 WerrorS(
"`system(\"AltVarStart/End\",<ring>) requires a SCA ring");
3089 #ifdef HAVE_RATGRING
3113 is=(
int)((
long)(
h->Data()));
3121 for(
k=0;
k < id;
k++)
3125 PrintS(
"starting redRat\n");
3162 is=(
int)((
long)(
h->Data()));
3195 is=(
int)((
long)(
h->Data()));
3228 return (start==0)||(end==0)||(start>end);
3234 poly
f = (poly)
h->Data();
3236 poly
g=(poly)
h->Data();
3244 poly
f = (poly)
h->Data();
3246 poly
g=(poly)
h->Data();
3262 poly
f = (poly)
h->Data();
3264 int n=(
int)((
long)
h->Data());
3272 poly
f = (poly)
h->Data();
3274 int n=(
int)((
long)
h->Data());
3283 poly
f = (poly)
h->Data();
3285 int n=(
int)((
long)
h->Data());
3294 poly
outer = (poly)
h->Data();
3296 poly
inner=(poly)
h->Data();
3323 int d=(
int)(
long)
h->next->Data();
3324 char *
s=(
char *)
h->Data();
3378 WerrorS(
"expected `system(\"HNF\",<matrix|intmat|bigintmat>)`");
3391 char *
s=(
char *)
h->next->Data();
3407 char* filename = (
char*)
h->Data();
3411 WerrorS(
"invalid file name (in paths use '/')");
3419 res->data = (
void*)n;
3424 WerrorS(
"expected valid file name as a string");
3440 (
h->next->next ==
NULL))
3446 for (
int k = 0;
k <=
ivec->rows() -
jvec->rows();
k++)
3449 sizeof(
int) *
jvec->rows()) == 0)
3462 res->data = (
void*)r;
3467 WerrorS(
"expected two non-empty intvecs as arguments");
3482 (
h->next->next ==
NULL))
3486 int ir =
ivec->rows();
int jr =
jvec->rows();
3487 int r =
jr;
if (ir <
jr) r = ir;
3489 sizeof(
int) * r) != 0))
3492 res->data = (
void*)(
long)r;
3497 WerrorS(
"expected two non-empty intvecs as arguments");
3508 (
h->next->next->next !=
NULL) &&
3509 (
h->next->next->next->Typ() ==
POLY_CMD) &&
3510 (
h->next->next->next->next !=
NULL) &&
3511 (
h->next->next->next->next->Typ() ==
POLY_CMD) &&
3512 (
h->next->next->next->next->next !=
NULL) &&
3513 (
h->next->next->next->next->next->Typ() ==
INT_CMD) &&
3514 (
h->next->next->next->next->next->next ==
NULL))
3518 poly
hh = (poly)
h->next->next->Data();
3519 poly
f0 = (poly)
h->next->next->next->Data();
3520 poly
g0 = (poly)
h->next->next->next->next->Data();
3521 int d = (
int)(
long)
h->next->next->next->next->next->Data();
3529 res->data = (
char *)L;
3534 WerrorS(
"expected argument list (int, int, poly, poly, poly, int)");
3569 a=(
int)((
long)(
h->Data()));
3574 b=(
int)((
long)(
h->Data()));
3619 res->data=(
void *)(-1L);
3633 b = (
int)((
long)(
h->Data()));
3639 e = (
int)((
long)(
h->Data()));
3717 res->data=(
char*)
bb;
3722 WerrorS(
"system(\"LU\",<cmatrix>) expected");
3754 int p=(
int)(
long)
h->Data();
3755 int n=(
int)(
long)
h->next->Data();
3756 char *
v=(
char*)
h->next->next->CopyD();
3775 poly
f=(poly)
h->CopyD();
3777 res->data=(
void *)
g;
3784 poly
f=(poly)
h->Data();
3786 for(
int i=0;
i<2000;
i++)
3788 res->data=(
void *)
g;
3794 poly
f=(poly)
h->Data();
3866 for(
int i=0;
i<n;
i++)
3879 nn=
ccluster_interface_poly_real_imag(
re_part,
im_part,
mult,
fre,
fim,
center_re,
center_im,
boxsize,
eps,
strategy,
verbosity);
3883 for(
int i=0;
i<
nn;
i++)
3894 ll->m[2].data=(
void *)(
long)
mult[
i];
3920 WerrorS(
"expected system(\"evaluate\",<poly>,..)");
3923 poly
p=(poly)
h->Data();
3930 WerrorS(
"system(\"evaluate\",<poly>,<number>..) - expect number");
3946 poly
p=(poly)
h->CopyD();
3947 poly q=(poly)
h->next->CopyD();
3956 WerrorS(
"expected system(\"DivRem\",<poly>,<poly>)");
3988 WerrorS(
"expected system(\"DivRemId\",<ideal>,<ideal>)");
4015 WerrorS(
"expected system(\"DivRemId\",<ideal>,<ideal>)");
4034 poly
p=(poly)
h->Data();
4035 poly q=(poly)
h->next->Data();
4044 poly q=(poly)
h->next->Data();
4051 poly
p=(poly)
h->Data();
4052 poly q=(poly)
h->next->Data();
4060 poly q=(poly)
h->next->Data();
4067 poly
p=(poly)
h->Data();
4075 poly
p=(poly)
h->Data();
4083 WerrorS(
"expected system(\"CoeffTerm\",<poly>/<vector>,<poly>/<vector>)" "\n or <ideal>/<module>,<poly>/<vector>");
static int si_max(const int a, const int b)
#define BIMATELEM(M, I, J)
blackbox * getBlackboxStuff(const int t)
return the structure to the type given by t
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)
EXTERN_VAR int singular_homog_flag
static const int SW_USE_CHINREM_GCD
set to 1 to use modular gcd over Z
static const int SW_USE_FL_GCD_P
set to 1 to use Flints gcd over F_p
static const int SW_USE_EZGCD_P
set to 1 to use EZGCD over F_q
static const int SW_USE_EZGCD
set to 1 to use EZGCD over Z
static const int SW_USE_FL_GCD_0
set to 1 to use Flints gcd over Q/Z
static CanonicalForm bound(const CFMatrix &M)
void factoryseed(int s)
random seed initializer
CanonicalForm convSingPFactoryP(poly p, const ring r)
matrix singntl_HNF(matrix m, const ring s)
matrix singntl_rref(matrix m, const ring R)
matrix singntl_LLL(matrix m, const ring s)
ideal singclap_absFactorize(poly f, ideal &mipos, intvec **exps, int &numFactors, const ring r)
char * singclap_neworder(ideal I, const ring r)
gmp_complex numbers based on
void resize(int new_length)
Class used for (list of) interpreter objects.
INLINE_THIS void Init(int l=0)
Coefficient rings, fields and other domains suitable for Singular polynomials.
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 ....
@ n_transExt
used for all transcendental extensions, i.e., the top-most extension in an extension tower is transce...
static FORCE_INLINE number n_convFactoryNSingN(const CanonicalForm n, const coeffs r)
void n_Print(number &a, const coeffs r)
print a number (BEWARE of string buffers!) mostly for debugging
static FORCE_INLINE CanonicalForm n_convSingNFactoryN(number n, BOOLEAN setChar, const coeffs r)
coeffs nInitChar(n_coeffType t, void *parameter)
one-time initialisations for new coeffs in case of an error return NULL
static FORCE_INLINE BOOLEAN nCoeff_is_Ring(const coeffs r)
static FORCE_INLINE n_coeffType getCoeffType(const coeffs r)
Returns the type of coeffs domain.
static FORCE_INLINE int n_GetChar(const coeffs r)
Return the characteristic of the coeff. domain.
static FORCE_INLINE void n_Delete(number *p, const coeffs r)
delete 'p'
static FORCE_INLINE number n_InitMPZ(mpz_t n, const coeffs r)
conversion of a GMP integer to number
static FORCE_INLINE number n_Init(long i, const coeffs r)
a number representing i in the given coeff field/ring r
Creation data needed for finite fields.
void countedref_reference_load()
Initialize blackbox types 'reference' and 'shared', or both.
void countedref_shared_load()
poly uni_subst_bits(poly outer_uni, poly inner_multi, ring r)
matrix evRowElim(matrix M, int i, int j, int k)
matrix evHessenberg(matrix M)
matrix evSwap(matrix M, int i, int j)
lists evEigenvals(matrix M)
ideal F5main(ideal id, ring r, int opt, int plus, int termination)
const CanonicalForm int s
const Variable & v
< [in] a sqrfree bivariate poly
CFList int bool & irred
[in,out] Is A irreducible?
int probIrredTest(const CanonicalForm &F, double error)
given some error probIrredTest detects irreducibility or reducibility of F with confidence level 1-er...
poly unifastmult(poly f, poly g, ring r)
poly pFastPowerMC(poly f, int n, ring r)
static int max(int a, int b)
poly pFastPower(poly f, int n, ring r)
poly multifastmult(poly f, poly g, ring r)
void WerrorS(const char *s)
feOptIndex feGetOptIndex(const char *name)
const char * feSetOptValue(feOptIndex opt, char *optarg)
static void * feOptValue(feOptIndex opt)
EXTERN_VAR struct fe_option feOptSpec[]
static char * feResource(feResourceConfig config, int warn)
void feStringAppendBrowsers(int warn)
STATIC_VAR int nfMinPoly[16]
This file is work in progress and currently not part of the official Singular.
void convSingPFlintP(fmpq_poly_t res, poly p, const ring r)
void convSingNFlintN(fmpz_t f, mpz_t z)
void convFlintNSingN(mpz_t z, fmpz_t f)
matrix singflint_rref(matrix m, const ring R)
bigintmat * singflint_LLL(bigintmat *A, bigintmat *T)
number maEvalAt(const poly p, const number *pt, const ring r)
evaluate the polynomial p at the pt given by the array pt
const char * Tok2Cmdname(int tok)
lists gmsNF(ideal p, ideal g, matrix B, int D, int K)
void HilbertSeries_OrbitData(ideal S, int lV, bool IG_CASE, bool mgrad, bool odp, int trunDegHs)
ideal RightColonOperation(ideal S, poly w, int lV)
ideal id_Sat_principal(ideal I, ideal J, const ring origR)
ideal idSaturate(ideal I, ideal J, int &k, BOOLEAN isIdeal)
ideal id_TensorModuleMult(const int m, const ideal M, const ring rRing)
STATIC_VAR coordinates * points
static BOOLEAN length(leftv result, leftv arg)
#define IMATELEM(M, I, J)
BOOLEAN jjSORTLIST(leftv, leftv arg)
BOOLEAN jjUNIQLIST(leftv, leftv arg)
EXTERN_VAR omBin sleftv_bin
BOOLEAN spaddProc(leftv result, leftv first, leftv second)
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 (...
BOOLEAN semicProc3(leftv res, leftv u, leftv v, leftv w)
BOOLEAN spectrumfProc(leftv result, leftv first)
BOOLEAN spmulProc(leftv result, leftv first, leftv second)
BOOLEAN spectrumProc(leftv result, leftv first)
ring rSubring(ring org_ring, sleftv *rv)
BOOLEAN semicProc(leftv res, leftv u, leftv v)
KINLINE poly ksOldSpolyRed(poly p1, poly p2, poly spNoether)
ideal idDivRem(ideal A, const ideal quot, ideal &factor, ideal *unit, int lazyReduce)
poly fglmLinearCombination(ideal source, poly monset)
poly fglmNewLinearCombination(ideal source, poly monset)
poly kNFBound(ideal F, ideal Q, poly p, int bound, int syzComp, int lazyReduce)
VAR int(* test_PosInL)(const LSet set, const int length, LObject *L, const kStrategy strat)
VAR int(* test_PosInT)(const TSet T, const int tl, LObject &h)
int posInT17(const TSet set, const int length, LObject &p)
int posInT11(const TSet set, const int length, LObject &p)
int posInT1(const TSet set, const int length, LObject &p)
int posInT0(const TSet, const int length, LObject &)
int posInT2(const TSet set, const int length, LObject &p)
int posInT_pLength(const TSet set, const int length, LObject &p)
int posInT13(const TSet set, const int length, LObject &p)
int posInT17_c(const TSet set, const int length, LObject &p)
int posInT_EcartFDegpLength(const TSet set, const int length, LObject &p)
int posInT15(const TSet set, const int length, LObject &p)
int posInT110(const TSet set, const int length, LObject &p)
int posInT19(const TSet set, const int length, LObject &p)
int posInT_FDegpLength(const TSet set, const int length, LObject &p)
BOOLEAN kVerify2(ideal F, ideal Q)
BOOLEAN kVerify1(ideal F, ideal Q)
static bool rIsSCA(const ring r)
poly pOppose(ring Rop_src, poly p, const ring Rop_dst)
opposes a vector p from Rop to currRing (dst!)
static nc_type & ncRingType(nc_struct *p)
int setNCExtensions(int iMask)
poly nc_p_Bracket_qq(poly p, const poly q, const ring r)
returns [p,q], destroys p
matrix nc_PrintMat(int a, int b, ring r, int metric)
returns matrix with the info on noncomm multiplication
bool sca_Force(ring rGR, int b, int e)
bool luSolveViaLDUDecomp(const matrix pMat, const matrix lMat, const matrix dMat, const matrix uMat, const poly l, const poly u, const poly lTimesU, 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 LDU-decomposit...
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,...
void lduDecomp(const matrix aMat, matrix &pMat, matrix &lMat, matrix &dMat, matrix &uMat, poly &l, poly &u, poly &lTimesU)
LU-decomposition of a given (m x n)-matrix with performing only those divisions that yield zero remai...
matrix mp_Transp(matrix a, const ring R)
ideal sm_UnFlatten(ideal a, int col, const ring R)
matrix mp_InitI(int r, int c, int v, const ring R)
make it a v * unit matrix
matrix mpNew(int r, int c)
create a r x c zero-matrix
ideal sm_Flatten(ideal a, const ring R)
#define MATELEM(mat, i, j)
1-based access to matrix
void mult(unsigned long *result, unsigned long *a, unsigned long *b, unsigned long p, int dega, int degb)
unsigned long * computeMinimalPolynomial(unsigned long **matrix, unsigned n, unsigned long p)
This file provides miscellaneous functionality.
EXTERN_VAR size_t gmp_output_digits
bool complexNearZero(gmp_complex *c, int digits)
The main handler for Singular numbers which are suitable for Singular polynomials.
BOOLEAN ncInitSpecialPairMultiplication(ring r)
ideal Approx_Step(ideal L)
Ann: ???
ideal twostd(ideal I)
Compute two-sided GB:
void newstructShow(newstruct_desc d)
BOOLEAN newstruct_set_proc(const char *bbname, const char *func, int args, procinfov pr)
#define omFreeSize(addr, size)
const char * omError2String(omError_t error)
const char * omError2Serror(omError_t error)
omError_t om_InternalErrorStatus
char * omFindExec(const char *name, char *exec)
#define omPrintCurrentBackTrace(fd)
poly p_CoeffTermMo(poly v, ideal m, int n, const ring r)
find coeffs of a vector of a matrix(module) of given monomials, n>=max_comp(v)
poly p_CoeffTermId(poly v, ideal m, int n, const ring r)
find coeffs of a vector of a list of given monomials, n>=max_comp(v)
number p_CoeffTerm(poly p, poly m, const ring r)
find coeff of (polynomial) m in polynomial p find coeff of (vector) m in vector p
ideal id_CoeffTermV(ideal M, poly m, const ring r)
find coeffs of (polynomial) m in all vectors from I
ideal id_CoeffTerm(ideal I, poly m, const ring r)
find coeffs of (polynomial) m in all polynomials from I find coeffs of (vector) m in all vectors from...
poly p_CoeffTermV(poly v, poly m, const ring r)
find vector of coeffs of (polynomial) m in vector v
void p_Content(poly ph, const ring r)
poly p_ISet(long i, const ring r)
returns the poly representing the integer i
poly p_Cleardenom(poly p, const ring r)
static int pLength(poly a)
static poly p_Add_q(poly p, poly q, const ring r)
static unsigned long p_SetExp(poly p, const unsigned long e, const unsigned long iBitmask, const int VarOffset)
set a single variable exponent @Note: VarOffset encodes the position in p->exp
static void p_Setm(poly p, const ring r)
static long p_MaxComp(poly p, ring lmRing, ring tailRing)
poly pcvP2CV(poly p, int d0, int d1)
int pcvBasis(lists b, int i, poly m, int d, int n)
int pcvDim(int d0, int d1)
lists pcvPMulL(poly p, lists l1)
poly pcvCV2P(poly cv, int d0, int d1)
lists pcvLAddL(lists l1, lists l2)
VAR ring currRing
Widely used global variable which specifies the current polynomial ring for Singular interpreter and ...
poly p_DivRem(poly p, poly q, poly &rest, const ring r)
Compatibility layer for legacy polynomial operations (over currRing)
#define pHead(p)
returns newly allocated copy of Lm(p), coef is copied, next=NULL, p might be NULL
#define pLmDeleteAndNext(p)
like pLmDelete, returns pNext(p)
#define pGetExp(p, i)
Exponent.
#define pDivisibleBy(a, b)
returns TRUE, if leading monom of a divides leading monom of b i.e., if there exists a expvector c > ...
#define pCopy(p)
return a copy of the poly
poly nc_rat_CreateSpoly(poly pp1, poly pp2, int ishift, const ring r)
int redRat(poly *h, poly *reducer, int *red_length, int rl, int ishift, ring r)
poly nc_rat_ReduceSpolyNew(const poly p1, poly p2, int ishift, const ring r)
void StringSetS(const char *st)
const char feNotImplemented[]
void PrintS(const char *s)
void Werror(const char *fmt,...)
BOOLEAN rComplete(ring r, int force)
this needs to be called whenever a new ring is created: new fields in ring are created (like VarOffse...
void p_DebugPrint(poly p, const ring r)
void rDebugPrint(const ring r)
void rSetSyzComp(int k, const ring r)
static BOOLEAN rField_is_R(const ring r)
static BOOLEAN rIsPluralRing(const ring r)
we must always have this test!
static BOOLEAN rField_is_long_C(const ring r)
static int rBlocks(const ring r)
static BOOLEAN rField_is_Q(const ring r)
static BOOLEAN rIsNCRing(const ring r)
static BOOLEAN rField_is_long_R(const ring r)
#define rField_is_Ring(R)
poly ringNF(poly f, ideal G, ring r)
poly plain_spoly(poly f, poly g)
poly ringRedNF(poly f, ideal G, ring r)
int testGB(ideal I, ideal GI)
static short scaLastAltVar(ring r)
static short scaFirstAltVar(ring r)
void sdb_edit(procinfo *pi)
int simpleipc_cmd(char *cmd, int id, int v)
ideal id_Vec2Ideal(poly vec, const ring R)
matrix id_Module2Matrix(ideal mod, const ring R)
int ssiReservePort(int clients)
BOOLEAN assumeStdFlag(leftv h)
void syMinimize_with_map(syStrategy res, ideal &trans)
syStrategy syCopy(syStrategy syzstr)
int M3ivSame(intvec *temp, intvec *u, intvec *v)
intvec * MivWeightOrderdp(intvec *ivstart)
ideal TranMImprovwalk(ideal G, intvec *curr_weight, intvec *target_tmp, int nP)
intvec * MivMatrixOrderdp(int nV)
ideal Mfwalk(ideal G, intvec *ivstart, intvec *ivtarget, int reduction, int printout)
intvec * MPertVectors(ideal G, intvec *ivtarget, int pdeg)
intvec * MivWeightOrderlp(intvec *ivstart)
ideal Mprwalk(ideal Go, intvec *orig_M, intvec *target_M, int weight_rad, int op_deg, int tp_deg, int nP, int reduction, int printout)
intvec * MivMatrixOrder(intvec *iv)
ideal MAltwalk2(ideal Go, intvec *curr_weight, intvec *target_weight)
ideal MAltwalk1(ideal Go, int op_deg, int tp_deg, intvec *curr_weight, intvec *target_weight)
ideal Mrwalk(ideal Go, intvec *orig_M, intvec *target_M, int weight_rad, int pert_deg, int reduction, int printout)
ideal Mfrwalk(ideal G, intvec *ivstart, intvec *ivtarget, int weight_rad, int reduction, int printout)
ideal Mwalk(ideal Go, intvec *orig_M, intvec *target_M, ring baseRing, int reduction, int printout)
ideal Mpwalk(ideal Go, int op_deg, int tp_deg, intvec *curr_weight, intvec *target_weight, int nP, int reduction, int printout)
int MivSame(intvec *u, intvec *v)
ideal MwalkInitialForm(ideal G, intvec *ivw)
intvec * MivMatrixOrderlp(int nV)
intvec * Mfpertvector(ideal G, intvec *ivtarget)
intvec * MPertVectorslp(ideal G, intvec *ivtarget, int pdeg)
intvec * MkInterRedNextWeight(intvec *iva, intvec *ivb, ideal G)
intvec * MwalkNextWeight(intvec *curr_weight, intvec *target_weight, ideal G)
intvec * Mivperttarget(ideal G, int ndeg)
intvec * MPertNextWeight(intvec *iva, ideal G, int deg)
int * iv2array(intvec *iv, const ring R)
#define omMarkAsStaticAddr(A)
#define omPrintUsedTrackAddrs(F, max)