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#include <kernel/mod2.h>
#include <omalloc/omalloc.h>
#include <factory/factory.h>
#include <misc/options.h>
#include <misc/mylimits.h>
#include <misc/intvec.h>
#include <misc/prime.h>
#include <coeffs/numbers.h>
#include <coeffs/coeffs.h>
#include <coeffs/rmodulon.h>
#include <coeffs/longrat.h>
#include <polys/monomials/ring.h>
#include <polys/monomials/maps.h>
#include <polys/prCopy.h>
#include <polys/matpol.h>
#include <polys/weight.h>
#include <polys/clapsing.h>
#include <polys/ext_fields/algext.h>
#include <polys/ext_fields/transext.h>
#include <kernel/polys.h>
#include <kernel/ideals.h>
#include <kernel/numeric/mpr_base.h>
#include <kernel/numeric/mpr_numeric.h>
#include <kernel/GBEngine/syz.h>
#include <kernel/GBEngine/kstd1.h>
#include <kernel/GBEngine/kutil.h>
#include <kernel/combinatorics/stairc.h>
#include <kernel/combinatorics/hutil.h>
#include <kernel/spectrum/semic.h>
#include <kernel/spectrum/splist.h>
#include <kernel/spectrum/spectrum.h>
#include <kernel/oswrapper/feread.h>
#include <Singular/lists.h>
#include <Singular/attrib.h>
#include <Singular/ipconv.h>
#include <Singular/links/silink.h>
#include <Singular/ipshell.h>
#include <Singular/maps_ip.h>
#include <Singular/tok.h>
#include <Singular/ipid.h>
#include <Singular/subexpr.h>
#include <Singular/fevoices.h>
#include <Singular/sdb.h>
#include <math.h>
#include <ctype.h>
#include <kernel/maps/gen_maps.h>
#include "libparse.h"
Go to the source code of this file.
Macros | |
#define | BREAK_LINE_LENGTH 80 |
Functions | |
const char * | iiTwoOps (int t) |
int | iiOpsTwoChar (const char *s) |
static void | list1 (const char *s, idhdl h, BOOLEAN c, BOOLEAN fullname) |
void | type_cmd (leftv v) |
static void | killlocals0 (int v, idhdl *localhdl, const ring r) |
void | killlocals_rec (idhdl *root, int v, ring r) |
BOOLEAN | killlocals_list (int v, lists L) |
void | killlocals (int v) |
void | list_cmd (int typ, const char *what, const char *prefix, BOOLEAN iterate, BOOLEAN fullname) |
void | test_cmd (int i) |
int | exprlist_length (leftv v) |
BOOLEAN | iiWRITE (leftv, leftv v) |
leftv | iiMap (map theMap, const char *what) |
void | iiMakeResolv (resolvente r, int length, int rlen, char *name, int typ0, intvec **weights) |
static resolvente | iiCopyRes (resolvente r, int l) |
BOOLEAN | jjMINRES (leftv res, leftv v) |
BOOLEAN | jjBETTI (leftv res, leftv u) |
BOOLEAN | jjBETTI2_ID (leftv res, leftv u, leftv v) |
BOOLEAN | jjBETTI2 (leftv res, leftv u, leftv v) |
int | iiRegularity (lists L) |
void | iiDebug () |
lists | scIndIndset (ideal S, BOOLEAN all, ideal Q) |
int | iiDeclCommand (leftv sy, leftv name, int lev, int t, idhdl *root, BOOLEAN isring, BOOLEAN init_b) |
BOOLEAN | iiDefaultParameter (leftv p) |
BOOLEAN | iiBranchTo (leftv res, leftv args) |
BOOLEAN | iiParameter (leftv p) |
static BOOLEAN | iiInternalExport (leftv v, int toLev) |
BOOLEAN | iiInternalExport (leftv v, int toLev, package rootpack) |
BOOLEAN | iiExport (leftv v, int toLev) |
BOOLEAN | iiExport (leftv v, int toLev, package pack) |
BOOLEAN | iiCheckRing (int i) |
poly | iiHighCorner (ideal I, int ak) |
void | iiCheckPack (package &p) |
idhdl | rDefault (const char *s) |
idhdl | rFindHdl (ring r, idhdl n) |
void | rDecomposeCF (leftv h, const ring r, const ring R) |
static void | rDecomposeC_41 (leftv h, const coeffs C) |
static void | rDecomposeC (leftv h, const ring R) |
void | rDecomposeRing_41 (leftv h, const coeffs C) |
void | rDecomposeRing (leftv h, const ring R) |
BOOLEAN | rDecompose_CF (leftv res, const coeffs C) |
lists | rDecompose_list_cf (const ring r) |
lists | rDecompose (const ring r) |
void | rComposeC (lists L, ring R) |
void | rComposeRing (lists L, ring R) |
static void | rRenameVars (ring R) |
static BOOLEAN | rComposeVar (const lists L, ring R) |
static BOOLEAN | rComposeOrder (const lists L, const BOOLEAN check_comp, ring R) |
ring | rCompose (const lists L, const BOOLEAN check_comp) |
BOOLEAN | mpJacobi (leftv res, leftv a) |
BOOLEAN | mpKoszul (leftv res, leftv c, leftv b, leftv id) |
BOOLEAN | syBetti2 (leftv res, leftv u, leftv w) |
BOOLEAN | syBetti1 (leftv res, leftv u) |
lists | syConvRes (syStrategy syzstr, BOOLEAN toDel, int add_row_shift) |
syStrategy | syConvList (lists li) |
syStrategy | syForceMin (lists li) |
BOOLEAN | kWeight (leftv res, leftv id) |
BOOLEAN | kQHWeight (leftv res, leftv v) |
BOOLEAN | jjRESULTANT (leftv res, leftv u, leftv v, leftv w) |
BOOLEAN | jjCHARSERIES (leftv res, leftv u) |
void | copy_deep (spectrum &spec, lists l) |
spectrum | spectrumFromList (lists l) |
lists | getList (spectrum &spec) |
void | list_error (semicState state) |
spectrumState | spectrumStateFromList (spectrumPolyList &speclist, lists *L, int fast) |
spectrumState | spectrumCompute (poly h, lists *L, int fast) |
void | spectrumPrintError (spectrumState state) |
BOOLEAN | spectrumProc (leftv result, leftv first) |
BOOLEAN | spectrumfProc (leftv result, leftv first) |
semicState | list_is_spectrum (lists l) |
BOOLEAN | spaddProc (leftv result, leftv first, leftv second) |
BOOLEAN | spmulProc (leftv result, leftv first, leftv second) |
BOOLEAN | semicProc3 (leftv res, leftv u, leftv v, leftv w) |
BOOLEAN | semicProc (leftv res, leftv u, leftv v) |
BOOLEAN | loNewtonP (leftv res, leftv arg1) |
compute Newton Polytopes of input polynomials More... | |
BOOLEAN | loSimplex (leftv res, leftv args) |
Implementation of the Simplex Algorithm. More... | |
BOOLEAN | nuMPResMat (leftv res, leftv arg1, leftv arg2) |
returns module representing the multipolynomial resultant matrix Arguments 2: ideal i, int k k=0: use sparse resultant matrix of Gelfand, Kapranov and Zelevinsky k=1: use resultant matrix of Macaulay (k=0 is default) More... | |
BOOLEAN | nuLagSolve (leftv res, leftv arg1, leftv arg2, leftv arg3) |
find the (complex) roots an univariate polynomial Determines the roots of an univariate polynomial using Laguerres' root-solver. More... | |
BOOLEAN | nuVanderSys (leftv res, leftv arg1, leftv arg2, leftv arg3) |
COMPUTE: polynomial p with values given by v at points p1,..,pN derived from p; more precisely: consider p as point in K^n and v as N elements in K, let p1,..,pN be the points in K^n obtained by evaluating all monomials of degree 0,1,...,N at p in lexicographical order, then the procedure computes the polynomial f satisfying f(pi) = v[i] RETURN: polynomial f of degree d. More... | |
BOOLEAN | nuUResSolve (leftv res, leftv args) |
solve a multipolynomial system using the u-resultant Input ideal must be 0-dimensional and (currRing->N) == IDELEMS(ideal). More... | |
lists | listOfRoots (rootArranger *self, const unsigned int oprec) |
void | rSetHdl (idhdl h) |
static leftv | rOptimizeOrdAsSleftv (leftv ord) |
BOOLEAN | rSleftvOrdering2Ordering (sleftv *ord, ring R) |
static BOOLEAN | rSleftvList2StringArray (leftv sl, char **p) |
ring | rInit (leftv pn, leftv rv, leftv ord) |
ring | rSubring (ring org_ring, sleftv *rv) |
void | rKill (ring r) |
void | rKill (idhdl h) |
idhdl | rSimpleFindHdl (ring r, idhdl root, idhdl n) |
BOOLEAN | jjPROC (leftv res, leftv u, leftv v) |
ideal | kGroebner (ideal F, ideal Q) |
static void | jjINT_S_TO_ID (int n, int *e, leftv res) |
BOOLEAN | jjVARIABLES_P (leftv res, leftv u) |
BOOLEAN | jjVARIABLES_ID (leftv res, leftv u) |
void | paPrint (const char *n, package p) |
BOOLEAN | iiApplyINTVEC (leftv res, leftv a, int op, leftv proc) |
BOOLEAN | iiApplyBIGINTMAT (leftv, leftv, int, leftv) |
BOOLEAN | iiApplyIDEAL (leftv, leftv, int, leftv) |
BOOLEAN | iiApplyLIST (leftv res, leftv a, int op, leftv proc) |
BOOLEAN | iiApply (leftv res, leftv a, int op, leftv proc) |
BOOLEAN | iiTestAssume (leftv a, leftv b) |
BOOLEAN | iiARROW (leftv r, char *a, char *s) |
BOOLEAN | iiAssignCR (leftv r, leftv arg) |
static void | iiReportTypes (int nr, int t, const short *T) |
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 (and, if report) report an error via Werror otherwise More... | |
Variables | |
leftv | iiCurrArgs =NULL |
idhdl | iiCurrProc =NULL |
const char * | lastreserved =NULL |
static BOOLEAN | iiNoKeepRing =TRUE |
BOOLEAN | iiDebugMarker =TRUE |
const short | MAX_SHORT = 32767 |
#define BREAK_LINE_LENGTH 80 |
Definition at line 983 of file ipshell.cc.
enum semicState |
Definition at line 3354 of file ipshell.cc.
enum spectrumState |
Enumerator | |
---|---|
spectrumOK | |
spectrumZero | |
spectrumBadPoly | |
spectrumNoSingularity | |
spectrumNotIsolated | |
spectrumDegenerate | |
spectrumWrongRing | |
spectrumNoHC | |
spectrumUnspecErr |
Definition at line 3470 of file ipshell.cc.
Definition at line 3280 of file ipshell.cc.
int exprlist_length | ( | leftv | v | ) |
Definition at line 544 of file ipshell.cc.
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void iiCheckPack | ( | package & | p | ) |
Definition at line 1535 of file ipshell.cc.
BOOLEAN iiCheckRing | ( | int | i | ) |
Definition at line 1491 of file ipshell.cc.
check a list of arguemys against a given field of types return TRUE if the types match return FALSE (and, if report) report an error via Werror otherwise
type_list | < [in] argument list (may be NULL) [in] field of types len, t1,t2,... |
report | ;in] report error? |
Definition at line 6470 of file ipshell.cc.
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static |
Definition at line 855 of file ipshell.cc.
void iiDebug | ( | ) |
Definition at line 984 of file ipshell.cc.
int iiDeclCommand | ( | leftv | sy, |
leftv | name, | ||
int | lev, | ||
int | t, | ||
idhdl * | root, | ||
BOOLEAN | isring, | ||
BOOLEAN | init_b | ||
) |
Definition at line 1122 of file ipshell.cc.
Definition at line 1166 of file ipshell.cc.
Definition at line 1413 of file ipshell.cc.
Definition at line 1439 of file ipshell.cc.
poly iiHighCorner | ( | ideal | I, |
int | ak | ||
) |
Definition at line 1511 of file ipshell.cc.
Definition at line 1315 of file ipshell.cc.
Definition at line 1367 of file ipshell.cc.
void iiMakeResolv | ( | resolvente | r, |
int | length, | ||
int | rlen, | ||
char * | name, | ||
int | typ0, | ||
intvec ** | weights | ||
) |
Definition at line 766 of file ipshell.cc.
Definition at line 607 of file ipshell.cc.
int iiOpsTwoChar | ( | const char * | s | ) |
Definition at line 119 of file ipshell.cc.
Definition at line 1279 of file ipshell.cc.
int iiRegularity | ( | lists | L | ) |
Definition at line 956 of file ipshell.cc.
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static |
Definition at line 6452 of file ipshell.cc.
Definition at line 6353 of file ipshell.cc.
const char* iiTwoOps | ( | int | t | ) |
Definition at line 86 of file ipshell.cc.
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static |
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Definition at line 1599 of file iparith.cc.
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ideal kGroebner | ( | ideal | F, |
ideal | Q | ||
) |
Definition at line 6151 of file ipshell.cc.
void killlocals | ( | int | v | ) |
Definition at line 378 of file ipshell.cc.
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void killlocals_rec | ( | idhdl * | root, |
int | v, | ||
ring | r | ||
) |
Definition at line 322 of file ipshell.cc.
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void list_cmd | ( | int | typ, |
const char * | what, | ||
const char * | prefix, | ||
BOOLEAN | iterate, | ||
BOOLEAN | fullname | ||
) |
Definition at line 417 of file ipshell.cc.
void list_error | ( | semicState | state | ) |
Definition at line 3388 of file ipshell.cc.
semicState list_is_spectrum | ( | lists | l | ) |
Definition at line 4173 of file ipshell.cc.
lists listOfRoots | ( | rootArranger * | self, |
const unsigned int | oprec | ||
) |
Definition at line 4985 of file ipshell.cc.
Implementation of the Simplex Algorithm.
For args, see class simplex.
Definition at line 4489 of file ipshell.cc.
Definition at line 2991 of file ipshell.cc.
Definition at line 3013 of file ipshell.cc.
find the (complex) roots an univariate polynomial Determines the roots of an univariate polynomial using Laguerres' root-solver.
Good for polynomials with low and middle degree (<40). Arguments 3: poly arg1 , int arg2 , int arg3 arg2>0: defines precision of fractional part if ground field is Q arg3: number of iterations for approximation of roots (default=2) Returns a list of all (complex) roots of the polynomial arg1
Definition at line 4598 of file ipshell.cc.
returns module representing the multipolynomial resultant matrix Arguments 2: ideal i, int k k=0: use sparse resultant matrix of Gelfand, Kapranov and Zelevinsky k=1: use resultant matrix of Macaulay (k=0 is default)
Definition at line 4575 of file ipshell.cc.
solve a multipolynomial system using the u-resultant Input ideal must be 0-dimensional and (currRing->N) == IDELEMS(ideal).
Resultant method can be MPR_DENSE, which uses Macaulay Resultant (good for dense homogeneous polynoms) or MPR_SPARSE, which uses Sparse Resultant (Gelfand, Kapranov, Zelevinsky). Arguments 4: ideal i, int k, int l, int m k=0: use sparse resultant matrix of Gelfand, Kapranov and Zelevinsky k=1: use resultant matrix of Macaulay (k=0 is default) l>0: defines precision of fractional part if ground field is Q m=0,1,2: number of iterations for approximation of roots (default=2) Returns a list containing the roots of the system.
Definition at line 4828 of file ipshell.cc.
COMPUTE: polynomial p with values given by v at points p1,..,pN derived from p; more precisely: consider p as point in K^n and v as N elements in K, let p1,..,pN be the points in K^n obtained by evaluating all monomials of degree 0,1,...,N at p in lexicographical order, then the procedure computes the polynomial f satisfying f(pi) = v[i] RETURN: polynomial f of degree d.
Definition at line 4727 of file ipshell.cc.
Definition at line 6241 of file ipshell.cc.
Definition at line 2725 of file ipshell.cc.
void rComposeC | ( | lists | L, |
ring | R | ||
) |
Definition at line 2225 of file ipshell.cc.
Definition at line 2475 of file ipshell.cc.
void rComposeRing | ( | lists | L, |
ring | R | ||
) |
Definition at line 2296 of file ipshell.cc.
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void rKill | ( | ring | r | ) |
Definition at line 6056 of file ipshell.cc.
void rKill | ( | idhdl | h | ) |
Definition at line 6107 of file ipshell.cc.
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static |
void rSetHdl | ( | idhdl | h | ) |
Definition at line 5032 of file ipshell.cc.
Definition at line 6133 of file ipshell.cc.
Definition at line 5470 of file ipshell.cc.
Definition at line 5198 of file ipshell.cc.
ring rSubring | ( | ring | org_ring, |
sleftv * | rv | ||
) |
Definition at line 5894 of file ipshell.cc.
Definition at line 1022 of file ipshell.cc.
Definition at line 4471 of file ipshell.cc.
Definition at line 4431 of file ipshell.cc.
Definition at line 4348 of file ipshell.cc.
spectrumState spectrumCompute | ( | poly | h, |
lists * | L, | ||
int | fast | ||
) |
Definition at line 3730 of file ipshell.cc.
Definition at line 4104 of file ipshell.cc.
Definition at line 3304 of file ipshell.cc.
void spectrumPrintError | ( | spectrumState | state | ) |
Definition at line 4022 of file ipshell.cc.
Definition at line 4053 of file ipshell.cc.
spectrumState spectrumStateFromList | ( | spectrumPolyList & | speclist, |
lists * | L, | ||
int | fast | ||
) |
Definition at line 3489 of file ipshell.cc.
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Definition at line 3091 of file ipshell.cc.
Definition at line 3068 of file ipshell.cc.
syStrategy syConvList | ( | lists | li | ) |
Definition at line 3176 of file ipshell.cc.
lists syConvRes | ( | syStrategy | syzstr, |
BOOLEAN | toDel, | ||
int | add_row_shift | ||
) |
Definition at line 3103 of file ipshell.cc.
syStrategy syForceMin | ( | lists | li | ) |
Definition at line 3205 of file ipshell.cc.
void test_cmd | ( | int | i | ) |
Definition at line 506 of file ipshell.cc.
void type_cmd | ( | leftv | v | ) |
Definition at line 246 of file ipshell.cc.
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Definition at line 982 of file ipshell.cc.
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Definition at line 80 of file ipshell.cc.
const short MAX_SHORT = 32767 |
Definition at line 5506 of file ipshell.cc.