20#include "ccluster/ccluster.h"
23#include "factory/factory.h"
25#ifdef TIME_WITH_SYS_TIME
27# ifdef HAVE_SYS_TIME_H
31# ifdef HAVE_SYS_TIME_H
37#ifdef HAVE_SYS_TIMES_H
137#ifndef MAKE_DISTRIBUTION
138#define HAVE_EXTENDED_SYSTEM 1
163#ifndef MAKE_DISTRIBUTION
179 for (
int i = 0 ;
i < n;
i++)
182 for (
int r = 0; r < n; r++)
183 for (
int c = 0; c < n; c++)
258 r = (
ring)
h->Data();
282 t.it_value.tv_sec =(
unsigned)((
unsigned long)
h->Data());
296 poly
p=(poly)
h->CopyD();
314 #ifdef _SC_NPROCESSORS_ONLN
316 #elif defined(_SC_NPROCESSORS_CONF)
394 WerrorS(
"nc_Hilb:ideal expected");
399 lV = (
int)(
long)
h->Data();
402 WerrorS(
"nc_Hilb:int expected");
408 if((
int)(
long)
h->Data() == 1)
410 else if((
int)(
long)
h->Data() == 2)
420 WerrorS(
"nc_Hilb:int 1,2, total degree for the truncation, and a string for printing the details are expected");
433 WerrorS(
"system(\"verifyGB\",<ideal>,..) expects a commutative ring");
439 Werror(
"expected system(\"verifyGB\",<ideal/module>), found <%s>",
Tok2Cmdname(
h->Typ()));
456 poly
w=(poly)
h->Data();
458 int lV = (
int)(
long)
h->Data();
473 WerrorS(
"shell execution is disallowed in restricted mode");
479 res->data = (
void*)(
long)
system((
char*)(
h->Data()));
497 p = (poly)
h->CopyD();
507 int bound = (
int)(
long)
h->next->next->Data();
534 #define TEST_FOR(A) if(strcmp(s,A)==0) res->data=(void *)1; else
535 char *
s=(
char *)
h->Data();
548 #ifdef TEST_MAC_ORDER
553 #ifdef HAVE_DYNAMIC_LOADING
599 const char *r=
getenv((
char *)
h->Data());
619 setenv((
char *)
h->Data(), (
char *)
h->next->Data(), 1);
629 WerrorS(
"setenv not supported on this platform");
657 if (r ==
NULL) r=
"/usr/local";
660 #define SINGULAR_PROCS_DIR "/libexec/singular/MOD"
699 res->data = (
void*)
s;
715 WerrorS(
"Use 'system(\"--\");' for listing of available options");
746 Werror(
"Need string argument to set value of option %s",
sys_cmd);
761 WerrorS(
"Need string or int argument to set option value");
816 WerrorS(
"unsupported ground field!");
823 (
int)((
long)(
h->next->Data())));
839 WerrorS(
"unsupported ground field!");
869 res->data = (
char *)L;
913 poly
l = (poly)
h->next->next->next->next->Data();
914 poly u = (poly)
h->next->next->next->next->next->Data();
915 poly
lTimesU = (poly)
h->next->next->next->next->next->next->Data();
920 Werror(
"first matrix (%d x %d) is not quadratic",
926 Werror(
"second matrix (%d x %d) is not quadratic",
932 Werror(
"third matrix (%d x %d) is not quadratic",
938 Werror(
"third matrix (%d x %d) and fourth matrix (%d x %d) %s",
945 Werror(
"fourth matrix (%d x %d) and vector (%d x 1) do not fit",
975 #ifndef SI_COUNTEDREF_AUTOLOAD
984 #ifndef SI_COUNTEDREF_AUTOLOAD
1000 v=(
int)(
long)
h->next->next->Data();
1007 WerrorS(
"Usage: system(\"semaphore\",<cmd>,int)");
1021 res->data=(
void*)(
long)
p;
1043 (
int)(
long)
h->next->next->next->Data(),
1056 char *n=(
char*)
h->Data();
1067 else Werror(
"'%s' is not a newstruct",n);
1069 else Werror(
"'%s' is not a blackbox object",n);
1082 #if defined(HAVE_FLINT) || defined(HAVE_NTL)
1100 l->m[0].data=(
void *)
f;
1102 l->m[1].data=(
void *)
v;
1104 l->m[2].data=(
void*)
mipos;
1106 l->m[3].data=(
void*) (
long) n;
1107 res->data=(
void *)
l;
1139 #if __FLINT_RELEASE >= 20500
1161 WerrorS(
"matrix,int or bigint,int expected");
1166 if(((
int)((
long)(
h->next->Data())) != 0) && (
int)((
long)(
h->next->Data()) != 1))
1168 WerrorS(
"int is different from 0, 1");
1172 if((
long)(
h->next->Data()) == 0)
1187 if((
long)(
h->next->Data()) == 1)
1193 for(
int i = 1;
i<=
m->rows();
i++)
1211 for(
int i = 1;
i<=
m->rows();
i++)
1233 #if defined(HAVE_FLINT) || defined(HAVE_NTL)
1241 #if defined(HAVE_FLINT)
1243 #elif defined(HAVE_NTL)
1252 #if defined(HAVE_FLINT)
1254 #elif defined(HAVE_NTL)
1262 WerrorS(
"expected system(\"rref\",<matrix>/<smatrix>)");
1307 #ifdef HAVE_EIGENVAL
1315 #ifdef HAVE_EIGENVAL
1323 #ifdef HAVE_EIGENVAL
1331 #ifdef HAVE_EIGENVAL
1351 "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");
1356 #ifdef HAVE_SPECTRUM
1371 if(((
long)
h->next->Data())==1L)
1383 if (
h->next->next==
NULL)
1385 else if (
h->next->next->Typ()==
INT_CMD)
1415 #define HAVE_SHEAFCOH_TRICKS 1
1417 #ifdef HAVE_SHEAFCOH_TRICKS
1424 int m = (
int)( (
long)
h->Data() );
1460 poly
p=(poly)
h->CopyD();
1462 poly q=(poly)
h->Data();
1484 WerrorS(
"`system(\"env\",<ring>)` expected");
1503 WerrorS(
"`system(\"opp\",<ring>)` expected");
1514 && (
h->next!=
NULL))
1529 WerrorS(
"`system(\"oppose\",<ring>,<poly>)` expected");
1559 Werror(
"system(\"walkNextWeight\" ...) intvecs not of length %d\n",
1565 (
ideal)
h->next->next->Data());
1566 if (
res->data ==
NULL ||
res->data == (
void*) 1L)
1586 WerrorS(
"system(\"walkInitials\", ideal) expected");
1614 #ifdef MwaklNextWeight
1622 Werror(
"system(\"MwalkNextWeight\" ...) intvecs not of length %d\n",
1643 WerrorS(
"system(\"Mivdp\", int) expected");
1646 if ((
int) ((
long)(
h->Data())) !=
currRing->N)
1648 Werror(
"system(\"Mivdp\" ...) intvecs not of length %d\n",
1652 int arg1 = (
int) ((
long)(
h->Data()));
1666 WerrorS(
"system(\"Mivlp\", int) expected");
1669 if ((
int) ((
long)(
h->Data())) !=
currRing->N)
1671 Werror(
"system(\"Mivlp\" ...) intvecs not of length %d\n",
1675 int arg1 = (
int) ((
long)(
h->Data()));
1690 poly arg1 = (poly)
h->Data();
1691 poly arg2 = (poly)
h->next->Data();
1707 poly arg1 = (poly)
h->Data();
1708 poly arg2 = (poly)
h->next->Data();
1740 res->data = (
void*)(
long)
MivSame(arg1, arg2);
1770 res->data = (
void*)(
long)
M3ivSame(arg1, arg2, arg3);
1783 Werror(
"system \"MwalkInitialForm\"...) intvec not of length %d\n",
1803 WerrorS(
"system(\"MivMatrixOrder\",intvec) expected");
1820 WerrorS(
"system(\"MivMatrixOrderdp\",intvec) expected");
1823 int arg1 = (
int) ((
long)(
h->Data()));
1839 int arg3 = (
int) ((
long)(
h->next->next->Data()));
1855 int arg3 = (
int) ((
long)(
h->next->next->Data()));
1884 int arg1 = (
int) ((
long)(
h->Data()));
1912 WerrorS(
"system(\"MivWeightOrderdp\",intvec) expected");
1930 WerrorS(
"system(\"MivMatrixOrderlp\",int) expected");
1933 int arg1 = (
int) ((
long)(
h->Data()));
1950 Werror(
"system(\"MkInterRedNextWeight\" ...) intvecs not of length %d\n",
1966 #ifdef MPertNextWeight
1973 Werror(
"system(\"MPertNextWeight\" ...) intvecs not of length %d\n",
1979 int arg3 = (
int)
h->next->next->Data();
1990 #ifdef Mivperttarget
1996 int arg2 = (
int)
h->next->Data();
2014 Werror(
"system(\"Mwalk\" ...) intvecs not of length %d\n",
2022 int arg5 = (
int) (
long)
h->next->next->next->next->Data();
2023 int arg6 = (
int) (
long)
h->next->next->next->next->next->Data();
2043 Werror(
"system(\"Mwalk\" ...) intvecs not of length %d or %d\n",
2065 Werror(
"system(\"Mpwalk\" ...) intvecs not of length %d\n",
currRing->N);
2069 int arg2 = (
int) (
long)
h->next->Data();
2070 int arg3 = (
int) (
long)
h->next->next->Data();
2073 int arg6 = (
int) (
long)
h->next->next->next->next->next->Data();
2074 int arg7 = (
int) (
long)
h->next->next->next->next->next->next->Data();
2075 int arg8 = (
int) (
long)
h->next->next->next->next->next->next->next->Data();
2095 Werror(
"system(\"Mrwalk\" ...) intvecs not of length %d or %d\n",
2102 int arg4 = (
int)(
long)
h->next->next->next->Data();
2103 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2104 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2105 int arg7 = (
int)(
long)
h->next->next->next->next->next->next->Data();
2122 Werror(
"system(\"MAltwalk1\" ...) intvecs not of length %d\n",
2127 int arg2 = (
int) ((
long)(
h->next->Data()));
2128 int arg3 = (
int) ((
long)(
h->next->next->Data()));
2148 Werror(
"system(\"Mfwalk\" ...) intvecs not of length %d\n",
2155 int arg4 = (
int)
h->next->next->next->Data();
2173 Werror(
"system(\"Mfwalk\" ...) intvecs not of length %d\n",
2180 int arg4 = (
int)(
long)
h->next->next->next->Data();
2181 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2208 Werror(
"system(\"Mfrwalk\" ...) intvecs not of length %d or %d\n",
2216 int arg4 = (
int)(
long)
h->next->next->next->Data();
2217 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2218 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2235 Werror(
"system(\"Mrwalk\" ...) intvecs not of length %d or %d\n",
2242 int arg4 = (
int)(
long)
h->next->next->next->Data();
2243 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2244 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2245 int arg7 = (
int)(
long)
h->next->next->next->next->next->next->Data();
2246 int arg8 = (
int)(
long)
h->next->next->next->next->next->next->next->Data();
2247 int arg9 = (
int)(
long)
h->next->next->next->next->next->next->next->next->Data();
2265 Werror(
"system(\"TranMImprovwalk\" ...) intvecs not of length %d\n",
2289 Werror(
"system(\"MAltwalk2\" ...) intvecs not of length %d\n",
2312 Werror(
"system(\"TranMImprovwalk\" ...) intvecs not of length %d\n",
2319 int arg4 = (
int) ((
long)(
h->next->next->next->Data()));
2335 h->next->next->next ==
NULL ||
h->next->next->next->Typ() !=
INT_CMD ||
2336 h->next->next->next ==
NULL ||
h->next->next->next->next->Typ() !=
INT_CMD ||
2337 h->next->next->next ==
NULL ||
h->next->next->next->next->next->Typ() !=
INT_CMD)
2339 WerrorS(
"system(\"TranMrImprovwalk\", ideal, intvec, intvec) expected");
2345 Werror(
"system(\"TranMrImprovwalk\" ...) intvecs not of length %d\n",
currRing->N);
2351 int arg4 = (
int)(
long)
h->next->next->next->Data();
2352 int arg5 = (
int)(
long)
h->next->next->next->next->Data();
2353 int arg6 = (
int)(
long)
h->next->next->next->next->next->Data();
2364 #ifndef MAKE_DISTRIBUTION
2375#ifdef HAVE_EXTENDED_SYSTEM
2379# include "hc_newton.h"
2394 poly
f=(poly)
h->Data();
2399 int n=(
int)((
long)
h->Data());
2469 WarnS(
"Sorry: not available for release build!");
2479 int k = (
int)(
long)
h->Data();
2492 WarnS(
"Sorry: not available for release build!");
2508 for (
int i = 1;
i <=
varN;
i++)
2516 res->data = (
void*)0L;
2532 char *
fn=(
char*)
h->Data();
2535 Warn(
"Can not open %s for writing og mtrack. Using stdout",
fn);
2548 WerrorS(
"system(\"mtrack\",..) is not implemented in this version");
2563#if !defined(OM_NDEBUG)
2569 PrintS(
"\n[om_Info]: \n");
2571#define OM_PRINT(name) Print(" %-22s : %10ld \n", #name, om_Info . name)
2597 PrintS(
"\n[om_Opts]: \n");
2598#define OM_PRINT(format, name) Print(" %-22s : %10" format"\n", #name, om_Opts . name)
2614 Print(
"\n\n[om_ErrorStatus] : '%s' (%s)\n",
2617 Print(
"[om_InternalErrorStatus]: '%s' (%s)\n",
2654 WarnS(
"Wrong types for poly= comb(ideal,poly)");
2659 (
ideal)
h->Data(),(poly)
h->next->Data());
2675 WarnS(
"Wrong types for poly= comb(ideal,poly)");
2680 (
ideal)
h->Data(),(poly)
h->next->Data());
2715 || (
h->next->next->Typ()!=
INT_CMD))
2717 WerrorS(
"system(\"newton\",<poly>,<int>,<int>) expected");
2720 poly
p=(poly)(
h->Data());
2739 (
int) (
h->next->Data()),
2740 (
int) (
h->next->next->Data())
2753 L->
m[1].
data=(
void *)(
long)r.achse;
2755 L->
m[2].
data=(
void *)(
long)r.deg;
2759 L->
m[3].
data=(
void *)(
long)r.anz_punkte;
2761 int anz = r.anz_punkte;
2764 for (
i=0;
i<anz*
dim;
i++)
2774 (*w)[
i] = r.deg_tab[
i];
2777 while (r.deg_tab[
i-1] != -2);
2788 res->data=(
void *)L;
2815 Werror(
"expected exactly one argument: %s",
2816 "a square matrix with number entries");
2826 WerrorS(
"expected exactly one argument: "
2827 "a square matrix with number entries");
2835 for (
int i = 0;
i < n;
i++)
delete[]
ml[
i];
2852 WerrorS(
"system(\"sdb_flags\",`int`) expected");
2865 WerrorS(
"shell execution is disallowed in restricted mode");
2875 WerrorS(
"system(\"sdb_edit\",`proc`) expected");
2914 poly
f = (poly)
h->Data();
2926 poly
f = (poly)
h->Data();
2936 poly
f =
pCopy((poly)
h->Data());
2938 poly
g =
pCopy((poly)
h->Data());
2963 WerrorS(
"`system(\"AltVarStart/End\"[,<ring>])` expected");
2978 WerrorS(
"`system(\"AltVarStart/End\",<ring>) requires a SCA ring");
2984 #ifdef HAVE_RATGRING
3008 is=(
int)((
long)(
h->Data()));
3016 for(
k=0;
k < id;
k++)
3020 PrintS(
"starting redRat\n");
3057 is=(
int)((
long)(
h->Data()));
3090 is=(
int)((
long)(
h->Data()));
3123 return (start==0)||(end==0)||(start>end);
3129 poly
f = (poly)
h->Data();
3131 poly
g=(poly)
h->Data();
3139 poly
f = (poly)
h->Data();
3141 poly
g=(poly)
h->Data();
3157 poly
f = (poly)
h->Data();
3159 int n=(
int)((
long)
h->Data());
3167 poly
f = (poly)
h->Data();
3169 int n=(
int)((
long)
h->Data());
3178 poly
f = (poly)
h->Data();
3180 int n=(
int)((
long)
h->Data());
3189 poly
outer = (poly)
h->Data();
3191 poly
inner=(poly)
h->Data();
3218 int d=(
int)(
long)
h->next->Data();
3219 char *
s=(
char *)
h->Data();
3273 WerrorS(
"expected `system(\"HNF\",<matrix|intmat|bigintmat>)`");
3286 char *
s=(
char *)
h->next->Data();
3302 char* filename = (
char*)
h->Data();
3306 WerrorS(
"invalid file name (in paths use '/')");
3314 res->data = (
void*)n;
3319 WerrorS(
"expected valid file name as a string");
3335 (
h->next->next ==
NULL))
3341 for (
int k = 0;
k <=
ivec->rows() -
jvec->rows();
k++)
3344 sizeof(
int) *
jvec->rows()) == 0)
3357 res->data = (
void*)r;
3362 WerrorS(
"expected two non-empty intvecs as arguments");
3377 (
h->next->next ==
NULL))
3381 int ir =
ivec->rows();
int jr =
jvec->rows();
3382 int r =
jr;
if (ir <
jr) r = ir;
3384 sizeof(
int) * r) != 0))
3387 res->data = (
void*)(
long)r;
3392 WerrorS(
"expected two non-empty intvecs as arguments");
3403 (
h->next->next->next !=
NULL) &&
3404 (
h->next->next->next->Typ() ==
POLY_CMD) &&
3405 (
h->next->next->next->next !=
NULL) &&
3406 (
h->next->next->next->next->Typ() ==
POLY_CMD) &&
3407 (
h->next->next->next->next->next !=
NULL) &&
3408 (
h->next->next->next->next->next->Typ() ==
INT_CMD) &&
3409 (
h->next->next->next->next->next->next ==
NULL))
3413 poly
hh = (poly)
h->next->next->Data();
3414 poly
f0 = (poly)
h->next->next->next->Data();
3415 poly
g0 = (poly)
h->next->next->next->next->Data();
3416 int d = (
int)(
long)
h->next->next->next->next->next->Data();
3424 res->data = (
char *)L;
3429 WerrorS(
"expected argument list (int, int, poly, poly, poly, int)");
3464 a=(
int)((
long)(
h->Data()));
3469 b=(
int)((
long)(
h->Data()));
3514 res->data=(
void *)(-1L);
3528 b = (
int)((
long)(
h->Data()));
3534 e = (
int)((
long)(
h->Data()));
3612 res->data=(
char*)
bb;
3617 WerrorS(
"system(\"LU\",<cmatrix>) expected");
3649 int p=(
int)(
long)
h->Data();
3650 int n=(
int)(
long)
h->next->Data();
3651 char *
v=(
char*)
h->next->next->CopyD();
3670 poly
f=(poly)
h->CopyD();
3672 res->data=(
void *)
g;
3679 poly
f=(poly)
h->Data();
3681 for(
int i=0;
i<2000;
i++)
3683 res->data=(
void *)
g;
3689 poly
f=(poly)
h->Data();
3725#if defined(HAVE_CCLUSTER) && defined(HAVE_FLINT)
3761 for(
int i=0;
i<n;
i++)
3774 nn=
ccluster_interface_poly_real_imag(
re_part,
im_part,
mult,
fre,
fim,
center_re,
center_im,
boxsize,
eps,
strategy,
verbosity);
3778 for(
int i=0;
i<
nn;
i++)
3789 ll->m[2].data=(
void *)(
long)
mult[
i];
3815 WerrorS(
"expected system(\"evaluate\",<poly>,..)");
3818 poly
p=(poly)
h->Data();
3825 WerrorS(
"system(\"evaluate\",<poly>,<number>..) - expect number");
3841 poly
p=(poly)
h->CopyD();
3842 poly q=(poly)
h->next->CopyD();
3851 WerrorS(
"expected system(\"DivRem\",<poly>,<poly>)");
3883 WerrorS(
"expected system(\"DivRemId\",<ideal>,<ideal>)");
3910 WerrorS(
"expected system(\"DivRemId\",<ideal>,<ideal>)");
3929 poly
p=(poly)
h->Data();
3930 poly q=(poly)
h->next->Data();
3939 poly q=(poly)
h->next->Data();
3946 poly
p=(poly)
h->Data();
3947 poly q=(poly)
h->next->Data();
3955 poly q=(poly)
h->next->Data();
3962 poly
p=(poly)
h->Data();
3970 poly
p=(poly)
h->Data();
3978 WerrorS(
"expected system(\"CoeffTerm\",<poly>/<vector>,<poly>/<vector>)" "\n or <ideal>/<module>,<poly>/<vector>");
4040 char *
s=(
char*)
h->Data();
4057 poly
p=(poly)
h->next->CopyD();
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)
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_intern(ideal I, ideal J, int &k, BOOLEAN isIdeal, BOOLEAN isSB)
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)
BOOLEAN kVerify(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)
#define omFreeBin(addr, bin)
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_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
poly p_CoeffTermMo(poly v, ideal m, const ring r)
find coeffs of a vector of a matrix(module) of given monomials
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)
void sBucket_Add_p(sBucket_pt bucket, poly p, int length)
adds poly p to bucket destroys p!
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)
void ssiWrite_S(leftv data, const ring R)
leftv ssiRead1_S(char **s, 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)