19#include "ccluster/ccluster.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
142#ifndef MAKE_DISTRIBUTION
143#define HAVE_EXTENDED_SYSTEM 1
168#ifndef MAKE_DISTRIBUTION
184 for (
int i = 0 ;
i < n;
i++)
187 for (
int r = 0; r < n; r++)
188 for (
int c = 0; c < n; c++)
263 r = (
ring)
h->Data();
287 t.it_value.tv_sec =(
unsigned)((
unsigned long)
h->Data());
301 poly
p=(poly)
h->CopyD();
319 #ifdef _SC_NPROCESSORS_ONLN
321 #elif defined(_SC_NPROCESSORS_CONF)
399 WerrorS(
"nc_Hilb:ideal expected");
404 lV = (
int)(
long)
h->Data();
407 WerrorS(
"nc_Hilb:int expected");
413 if((
int)(
long)
h->Data() == 1)
415 else if((
int)(
long)
h->Data() == 2)
425 WerrorS(
"nc_Hilb:int 1,2, total degree for the truncation, and a string for printing the details are expected");
438 WerrorS(
"system(\"verifyGB\",<ideal>,..) expects a commutative ring");
444 Werror(
"expected system(\"verifyGB\",<ideal/module>), found <%s>",
Tok2Cmdname(
h->Typ()));
467 poly
w=(poly)
h->Data();
469 int lV = (
int)(
long)
h->Data();
484 WerrorS(
"shell execution is disallowed in restricted mode");
490 res->data = (
void*)(
long)
system((
char*)(
h->Data()));
507 p = (poly)
h->CopyD();
517 int bound = (
int)(
long)
h->next->next->Data();
544 #define TEST_FOR(A) if(strcmp(s,A)==0) res->data=(void *)1; else
545 char *
s=(
char *)
h->Data();
558 #ifdef TEST_MAC_ORDER
563 #ifdef HAVE_DYNAMIC_LOADING
609 const char *r=
getenv((
char *)
h->Data());
629 setenv((
char *)
h->Data(), (
char *)
h->next->Data(), 1);
639 WerrorS(
"setenv not supported on this platform");
667 if (r ==
NULL) r=
"/usr/local";
670 #define SINGULAR_PROCS_DIR "/libexec/singular/MOD"
709 res->data = (
void*)
s;
725 WerrorS(
"Use 'system(\"--\");' for listing of available options");
754 WerrorS(
"Need string or int argument to set option value");
762 Werror(
"Need string argument to set value of option %s",
sys_cmd);
827 WerrorS(
"unsupported ground field!");
834 (
int)((
long)(
h->next->Data())));
850 WerrorS(
"unsupported ground field!");
880 res->data = (
char *)L;
924 poly
l = (poly)
h->next->next->next->next->Data();
925 poly u = (poly)
h->next->next->next->next->next->Data();
926 poly
lTimesU = (poly)
h->next->next->next->next->next->next->Data();
931 Werror(
"first matrix (%d x %d) is not quadratic",
937 Werror(
"second matrix (%d x %d) is not quadratic",
943 Werror(
"third matrix (%d x %d) is not quadratic",
949 Werror(
"third matrix (%d x %d) and fourth matrix (%d x %d) %s",
956 Werror(
"fourth matrix (%d x %d) and vector (%d x 1) do not fit",
986 #ifndef SI_COUNTEDREF_AUTOLOAD
995 #ifndef SI_COUNTEDREF_AUTOLOAD
1004#ifdef HAVE_SIMPLEIPC
1010 if ((
h->next->next!=
NULL)&& (
h->next->next->Typ()==
INT_CMD))
1011 v=(
int)(
long)
h->next->next->Data();
1018 WerrorS(
"Usage: system(\"semaphore\",<cmd>,int)");
1032 res->data=(
void*)(
long)
p;
1054 (
int)(
long)
h->next->next->next->Data(),
1067 char *n=(
char*)
h->Data();
1078 else Werror(
"'%s' is not a newstruct",n);
1080 else Werror(
"'%s' is not a blackbox object",n);
1093 #if defined(HAVE_FLINT) || defined(HAVE_NTL)
1111 l->m[0].data=(
void *)
f;
1113 l->m[1].data=(
void *)
v;
1115 l->m[2].data=(
void*)
mipos;
1117 l->m[3].data=(
void*) (
long) n;
1118 res->data=(
void *)
l;
1150 #if __FLINT_RELEASE >= 20500
1172 WerrorS(
"matrix,int or bigint,int expected");
1177 if(((
int)((
long)(
h->next->Data())) != 0) && (
int)((
long)(
h->next->Data()) != 1))
1179 WerrorS(
"int is different from 0, 1");
1183 if((
long)(
h->next->Data()) == 0)
1198 if((
long)(
h->next->Data()) == 1)
1204 for(
int i = 1;
i<=
m->rows();
i++)
1222 for(
int i = 1;
i<=
m->rows();
i++)
1244 #if defined(HAVE_FLINT) || defined(HAVE_NTL)
1252 #if defined(HAVE_FLINT)
1254 #elif defined(HAVE_NTL)
1263 #if defined(HAVE_FLINT)
1265 #elif defined(HAVE_NTL)
1273 WerrorS(
"expected system(\"rref\",<matrix>/<smatrix>)");
1318 #ifdef HAVE_EIGENVAL
1326 #ifdef HAVE_EIGENVAL
1334 #ifdef HAVE_EIGENVAL
1342 #ifdef HAVE_EIGENVAL
1362 "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");
1367 #ifdef HAVE_SPECTRUM
1382 if(((
long)
h->next->Data())==1L)
1394 if (
h->next->next==
NULL)
1396 else if (
h->next->next->Typ()==
INT_CMD)
1426 #define HAVE_SHEAFCOH_TRICKS 1
1428 #ifdef HAVE_SHEAFCOH_TRICKS
1435 int m = (
int)( (
long)
h->Data() );
1471 poly
p=(poly)
h->CopyD();
1473 poly q=(poly)
h->Data();
1495 WerrorS(
"`system(\"env\",<ring>)` expected");
1514 WerrorS(
"`system(\"opp\",<ring>)` expected");
1525 && (
h->next!=
NULL))
1540 WerrorS(
"`system(\"oppose\",<ring>,<poly>)` expected");
1570 Werror(
"system(\"walkNextWeight\" ...) intvecs not of length %d\n",
1576 (
ideal)
h->next->next->Data());
1577 if (
res->data ==
NULL ||
res->data == (
void*) 1L)
1597 WerrorS(
"system(\"walkInitials\", ideal) expected");
1625 #ifdef MwaklNextWeight
1633 Werror(
"system(\"MwalkNextWeight\" ...) intvecs not of length %d\n",
1654 WerrorS(
"system(\"Mivdp\", int) expected");
1657 if ((
int) ((
long)(
h->Data())) !=
currRing->N)
1659 Werror(
"system(\"Mivdp\" ...) intvecs not of length %d\n",
1663 int arg1 = (
int) ((
long)(
h->Data()));
1677 WerrorS(
"system(\"Mivlp\", int) expected");
1680 if ((
int) ((
long)(
h->Data())) !=
currRing->N)
1682 Werror(
"system(\"Mivlp\" ...) intvecs not of length %d\n",
1686 int arg1 = (
int) ((
long)(
h->Data()));
1701 poly arg1 = (poly)
h->Data();
1702 poly arg2 = (poly)
h->next->Data();
1718 poly arg1 = (poly)
h->Data();
1719 poly arg2 = (poly)
h->next->Data();
1751 res->data = (
void*)(
long)
MivSame(arg1, arg2);
1781 res->data = (
void*)(
long)
M3ivSame(arg1, arg2, arg3);
1794 Werror(
"system \"MwalkInitialForm\"...) intvec not of length %d\n",
1814 WerrorS(
"system(\"MivMatrixOrder\",intvec) expected");
1831 WerrorS(
"system(\"MivMatrixOrderdp\",intvec) expected");
1834 int arg1 = (
int) ((
long)(
h->Data()));
1850 int arg3 = (
int) ((
long)(
h->next->next->Data()));
1866 int arg3 = (
int) ((
long)(
h->next->next->Data()));
1895 int arg1 = (
int) ((
long)(
h->Data()));
1923 WerrorS(
"system(\"MivWeightOrderdp\",intvec) expected");
1941 WerrorS(
"system(\"MivMatrixOrderlp\",int) expected");
1944 int arg1 = (
int) ((
long)(
h->Data()));
1961 Werror(
"system(\"MkInterRedNextWeight\" ...) intvecs not of length %d\n",
1977 #ifdef MPertNextWeight
1984 Werror(
"system(\"MPertNextWeight\" ...) intvecs not of length %d\n",
1990 int arg3 = (
int)
h->next->next->Data();
2001 #ifdef Mivperttarget
2007 int arg2 = (
int)
h->next->Data();
2025 Werror(
"system(\"Mwalk\" ...) intvecs not of length %d\n",
2033 int arg5 = (
int) (
long)
h->next->next->next->next->Data();
2034 int arg6 = (
int) (
long)
h->next->next->next->next->next->Data();
2054 Werror(
"system(\"Mwalk\" ...) intvecs not of length %d or %d\n",
2076 Werror(
"system(\"Mpwalk\" ...) intvecs not of length %d\n",
currRing->N);
2080 int arg2 = (
int) (
long)
h->next->Data();
2081 int arg3 = (
int) (
long)
h->next->next->Data();
2084 int arg6 = (
int) (
long)
h->next->next->next->next->next->Data();
2085 int arg7 = (
int) (
long)
h->next->next->next->next->next->next->Data();
2086 int arg8 = (
int) (
long)
h->next->next->next->next->next->next->next->Data();
2106 Werror(
"system(\"Mrwalk\" ...) intvecs not of length %d or %d\n",
2113 int arg4 = (
int)(
long)
h->next->next->next->Data();
2114 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2115 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2116 int arg7 = (
int)(
long)
h->next->next->next->next->next->next->Data();
2133 Werror(
"system(\"MAltwalk1\" ...) intvecs not of length %d\n",
2138 int arg2 = (
int) ((
long)(
h->next->Data()));
2139 int arg3 = (
int) ((
long)(
h->next->next->Data()));
2159 Werror(
"system(\"Mfwalk\" ...) intvecs not of length %d\n",
2166 int arg4 = (
int)
h->next->next->next->Data();
2184 Werror(
"system(\"Mfwalk\" ...) intvecs not of length %d\n",
2191 int arg4 = (
int)(
long)
h->next->next->next->Data();
2192 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2219 Werror(
"system(\"Mfrwalk\" ...) intvecs not of length %d or %d\n",
2227 int arg4 = (
int)(
long)
h->next->next->next->Data();
2228 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2229 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2246 Werror(
"system(\"Mrwalk\" ...) intvecs not of length %d or %d\n",
2253 int arg4 = (
int)(
long)
h->next->next->next->Data();
2254 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2255 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2256 int arg7 = (
int)(
long)
h->next->next->next->next->next->next->Data();
2257 int arg8 = (
int)(
long)
h->next->next->next->next->next->next->next->Data();
2258 int arg9 = (
int)(
long)
h->next->next->next->next->next->next->next->next->Data();
2276 Werror(
"system(\"TranMImprovwalk\" ...) intvecs not of length %d\n",
2300 Werror(
"system(\"MAltwalk2\" ...) intvecs not of length %d\n",
2323 Werror(
"system(\"TranMImprovwalk\" ...) intvecs not of length %d\n",
2330 int arg4 = (
int) ((
long)(
h->next->next->next->Data()));
2346 h->next->next->next ==
NULL ||
h->next->next->next->Typ() !=
INT_CMD ||
2347 h->next->next->next ==
NULL ||
h->next->next->next->next->Typ() !=
INT_CMD ||
2348 h->next->next->next ==
NULL ||
h->next->next->next->next->next->Typ() !=
INT_CMD)
2350 WerrorS(
"system(\"TranMrImprovwalk\", ideal, intvec, intvec) expected");
2356 Werror(
"system(\"TranMrImprovwalk\" ...) intvecs not of length %d\n",
currRing->N);
2362 int arg4 = (
int)(
long)
h->next->next->next->Data();
2363 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2364 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2375 #ifndef MAKE_DISTRIBUTION
2386#ifdef HAVE_EXTENDED_SYSTEM
2390# include "hc_newton.h"
2404 const char *
s=(
const char *)
h->Data();
2405 if (
strcmp(
s,
"posInT_EcartFDegpLength")==0)
2407 else if (
strcmp(
s,
"posInT_FDegpLength")==0)
2409 else if (
strcmp(
s,
"posInT_pLength")==0)
2411 else if (
strcmp(
s,
"posInT0")==0)
2413 else if (
strcmp(
s,
"posInT1")==0)
2415 else if (
strcmp(
s,
"posInT2")==0)
2417 else if (
strcmp(
s,
"posInT11")==0)
2419 else if (
strcmp(
s,
"posInT110")==0)
2421 else if (
strcmp(
s,
"posInT13")==0)
2423 else if (
strcmp(
s,
"posInT15")==0)
2425 else if (
strcmp(
s,
"posInT17")==0)
2427 else if (
strcmp(
s,
"posInT17_c")==0)
2429 else if (
strcmp(
s,
"posInT19")==0)
2431 else PrintS(
"valid posInT:0,1,2,11,110,13,15,17,17_c,19,_EcartFDegpLength,_FDegpLength,_pLength,_EcartpLength\n");
2448 poly
f=(poly)
h->Data();
2453 int n=(
int)((
long)
h->Data());
2523 WarnS(
"Sorry: not available for release build!");
2533 int k = (
int)(
long)
h->Data();
2546 WarnS(
"Sorry: not available for release build!");
2562 for (
int i = 1;
i <=
varN;
i++)
2570 res->data = (
void*)0L;
2586 char *
fn=(
char*)
h->Data();
2589 Warn(
"Can not open %s for writing og mtrack. Using stdout",
fn);
2602 WerrorS(
"system(\"mtrack\",..) is not implemented in this version");
2617#if !defined(OM_NDEBUG)
2623 PrintS(
"\n[om_Info]: \n");
2625#define OM_PRINT(name) Print(" %-22s : %10ld \n", #name, om_Info . name)
2651 PrintS(
"\n[om_Opts]: \n");
2652#define OM_PRINT(format, name) Print(" %-22s : %10" format"\n", #name, om_Opts . name)
2668 Print(
"\n\n[om_ErrorStatus] : '%s' (%s)\n",
2671 Print(
"[om_InternalErrorStatus]: '%s' (%s)\n",
2708 WarnS(
"Wrong types for poly= comb(ideal,poly)");
2713 (
ideal)
h->Data(),(poly)
h->next->Data());
2729 WarnS(
"Wrong types for poly= comb(ideal,poly)");
2734 (
ideal)
h->Data(),(poly)
h->next->Data());
2769 || (
h->next->next->Typ()!=
INT_CMD))
2771 WerrorS(
"system(\"newton\",<poly>,<int>,<int>) expected");
2774 poly
p=(poly)(
h->Data());
2793 (
int) (
h->next->Data()),
2794 (
int) (
h->next->next->Data())
2807 L->
m[1].
data=(
void *)(
long)r.achse;
2809 L->
m[2].
data=(
void *)(
long)r.deg;
2813 L->
m[3].
data=(
void *)(
long)r.anz_punkte;
2815 int anz = r.anz_punkte;
2818 for (
i=0;
i<anz*
dim;
i++)
2828 (*w)[
i] = r.deg_tab[
i];
2831 while (r.deg_tab[
i-1] != -2);
2842 res->data=(
void *)L;
2869 Werror(
"expected exactly one argument: %s",
2870 "a square matrix with number entries");
2880 WerrorS(
"expected exactly one argument: "
2881 "a square matrix with number entries");
2889 for (
int i = 0;
i < n;
i++)
delete[]
ml[
i];
2906 WerrorS(
"system(\"sdb_flags\",`int`) expected");
2919 WerrorS(
"shell execution is disallowed in restricted mode");
2929 WerrorS(
"system(\"sdb_edit\",`proc`) expected");
2969 poly
f = (poly)
h->Data();
3036 poly
f = (poly)
h->Data();
3046 poly
f =
pCopy((poly)
h->Data());
3048 poly
g =
pCopy((poly)
h->Data());
3074 WerrorS(
"`system(\"AltVarStart/End\"[,<ring>])` expected");
3089 WerrorS(
"`system(\"AltVarStart/End\",<ring>) requires a SCA ring");
3095 #ifdef HAVE_RATGRING
3119 is=(
int)((
long)(
h->Data()));
3127 for(
k=0;
k < id;
k++)
3131 PrintS(
"starting redRat\n");
3168 is=(
int)((
long)(
h->Data()));
3201 is=(
int)((
long)(
h->Data()));
3234 return (start==0)||(end==0)||(start>end);
3240 poly
f = (poly)
h->Data();
3242 poly
g=(poly)
h->Data();
3250 poly
f = (poly)
h->Data();
3252 poly
g=(poly)
h->Data();
3268 poly
f = (poly)
h->Data();
3270 int n=(
int)((
long)
h->Data());
3278 poly
f = (poly)
h->Data();
3280 int n=(
int)((
long)
h->Data());
3289 poly
f = (poly)
h->Data();
3291 int n=(
int)((
long)
h->Data());
3300 poly
outer = (poly)
h->Data();
3302 poly
inner=(poly)
h->Data();
3329 int d=(
int)(
long)
h->next->Data();
3330 char *
s=(
char *)
h->Data();
3384 WerrorS(
"expected `system(\"HNF\",<matrix|intmat|bigintmat>)`");
3397 char *
s=(
char *)
h->next->Data();
3413 char* filename = (
char*)
h->Data();
3417 WerrorS(
"invalid file name (in paths use '/')");
3425 res->data = (
void*)n;
3430 WerrorS(
"expected valid file name as a string");
3446 (
h->next->next ==
NULL))
3452 for (
int k = 0;
k <=
ivec->rows() -
jvec->rows();
k++)
3455 sizeof(
int) *
jvec->rows()) == 0)
3468 res->data = (
void*)r;
3473 WerrorS(
"expected two non-empty intvecs as arguments");
3488 (
h->next->next ==
NULL))
3492 int ir =
ivec->rows();
int jr =
jvec->rows();
3493 int r =
jr;
if (ir <
jr) r = ir;
3495 sizeof(
int) * r) != 0))
3498 res->data = (
void*)(
long)r;
3503 WerrorS(
"expected two non-empty intvecs as arguments");
3514 (
h->next->next->next !=
NULL) &&
3515 (
h->next->next->next->Typ() ==
POLY_CMD) &&
3516 (
h->next->next->next->next !=
NULL) &&
3517 (
h->next->next->next->next->Typ() ==
POLY_CMD) &&
3518 (
h->next->next->next->next->next !=
NULL) &&
3519 (
h->next->next->next->next->next->Typ() ==
INT_CMD) &&
3520 (
h->next->next->next->next->next->next ==
NULL))
3524 poly
hh = (poly)
h->next->next->Data();
3525 poly
f0 = (poly)
h->next->next->next->Data();
3526 poly
g0 = (poly)
h->next->next->next->next->Data();
3527 int d = (
int)(
long)
h->next->next->next->next->next->Data();
3535 res->data = (
char *)L;
3540 WerrorS(
"expected argument list (int, int, poly, poly, poly, int)");
3575 a=(
int)((
long)(
h->Data()));
3580 b=(
int)((
long)(
h->Data()));
3625 res->data=(
void *)(-1L);
3639 b = (
int)((
long)(
h->Data()));
3645 e = (
int)((
long)(
h->Data()));
3723 res->data=(
char*)
bb;
3728 WerrorS(
"system(\"LU\",<cmatrix>) expected");
3760 int p=(
int)(
long)
h->Data();
3761 int n=(
int)(
long)
h->next->Data();
3762 char *
v=(
char*)
h->next->next->CopyD();
3781 poly
f=(poly)
h->CopyD();
3783 res->data=(
void *)
g;
3790 poly
f=(poly)
h->Data();
3792 for(
int i=0;
i<2000;
i++)
3794 res->data=(
void *)
g;
3800 poly
f=(poly)
h->Data();
3872 for(
int i=0;
i<n;
i++)
3885 nn=
ccluster_interface_poly_real_imag(
re_part,
im_part,
mult,
fre,
fim,
center_re,
center_im,
boxsize,
eps,
strategy,
verbosity);
3889 for(
int i=0;
i<
nn;
i++)
3900 ll->m[2].data=(
void *)(
long)
mult[
i];
3926 WerrorS(
"expected system(\"evaluate\",<poly>,..)");
3929 poly
p=(poly)
h->Data();
3936 WerrorS(
"system(\"evaluate\",<poly>,<number>..) - expect number");
3952 poly
p=(poly)
h->CopyD();
3953 poly q=(poly)
h->next->CopyD();
3962 WerrorS(
"expected system(\"DivRem\",<poly>,<poly>)");
3994 WerrorS(
"expected system(\"DivRemId\",<ideal>,<ideal>)");
4021 WerrorS(
"expected system(\"DivRemId\",<ideal>,<ideal>)");
4040 poly
p=(poly)
h->Data();
4041 poly q=(poly)
h->next->Data();
4050 poly q=(poly)
h->next->Data();
4057 poly
p=(poly)
h->Data();
4058 poly q=(poly)
h->next->Data();
4066 poly q=(poly)
h->next->Data();
4073 poly
p=(poly)
h->Data();
4081 poly
p=(poly)
h->Data();
4089 WerrorS(
"expected system(\"CoeffTerm\",<poly>/<vector>,<poly>/<vector>)" "\n or <ideal>/<module>,<poly>/<vector>");
4108 int l=(
int)(
long)
h->next->Data();
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...
‘factory.h’ is the user interface to Factory.
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)
syStrategy syMres_with_map(ideal arg, int maxlength, intvec *w, ideal &trans)
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)