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#include <stdio.h>
#include <kernel/ideals.h>
#include <Singular/lists.h>
#include <Singular/fevoices.h>
Go to the source code of this file.
Data Structures | |
struct | sValCmd1 |
struct | sValCmd2 |
struct | sValCmd3 |
struct | sValCmdM |
struct | sValAssign_sys |
struct | sValAssign |
Typedefs | |
typedef BOOLEAN(* | proc1) (leftv, leftv) |
typedef BOOLEAN(* | proc2) (leftv, leftv, leftv) |
typedef BOOLEAN(* | proc3) (leftv, leftv, leftv, leftv) |
typedef BOOLEAN(* | proci) (leftv, leftv, Subexpr) |
Functions | |
BOOLEAN | spectrumProc (leftv, leftv) |
BOOLEAN | spectrumfProc (leftv, leftv) |
BOOLEAN | spaddProc (leftv, leftv, leftv) |
BOOLEAN | spmulProc (leftv, leftv, leftv) |
BOOLEAN | semicProc (leftv, leftv, leftv) |
BOOLEAN | semicProc3 (leftv, leftv, leftv, leftv) |
BOOLEAN | iiAssignCR (leftv, leftv) |
BOOLEAN | iiARROW (leftv, char *, char *) |
int | IsCmd (const char *n, int &tok) |
BOOLEAN | iiPStart (idhdl pn, sleftv *sl) |
BOOLEAN | iiEStart (char *example, procinfo *pi) |
BOOLEAN | iiAllStart (procinfov pi, char *p, feBufferTypes t, int l) |
void | type_cmd (leftv v) |
void | test_cmd (int i) |
void | list_cmd (int typ, const char *what, const char *prefix, BOOLEAN iterate, BOOLEAN fullname=FALSE) |
void | killlocals (int v) |
int | exprlist_length (leftv v) |
const char * | Tok2Cmdname (int i) |
const char * | iiTwoOps (int t) |
int | iiOpsTwoChar (const char *s) |
BOOLEAN | iiWRITE (leftv res, leftv exprlist) |
BOOLEAN | iiExport (leftv v, int toLev) |
BOOLEAN | iiExport (leftv v, int toLev, package pack) |
BOOLEAN | iiInternalExport (leftv v, int toLev, package pack) |
char * | iiGetLibName (procinfov v) |
char * | iiGetLibProcBuffer (procinfov pi, int part=1) |
char * | iiProcName (char *buf, char &ct, char *&e) |
char * | iiProcArgs (char *e, BOOLEAN withParenth) |
BOOLEAN | iiLibCmd (char *newlib, BOOLEAN autoexport, BOOLEAN tellerror, BOOLEAN force) |
BOOLEAN | jjLOAD (const char *s, BOOLEAN autoexport=FALSE) |
load lib/module given in v More... | |
BOOLEAN | jjLOAD_TRY (const char *s) |
BOOLEAN | iiLocateLib (const char *lib, char *where) |
leftv | iiMap (map theMap, const char *what) |
void | iiMakeResolv (resolvente r, int length, int rlen, char *name, int typ0, intvec **weights=NULL) |
BOOLEAN | jjMINRES (leftv res, leftv v) |
BOOLEAN | jjBETTI (leftv res, leftv v) |
BOOLEAN | jjBETTI2 (leftv res, leftv u, leftv v) |
BOOLEAN | jjBETTI2_ID (leftv res, leftv u, leftv v) |
BOOLEAN | jjIMPORTFROM (leftv res, leftv u, leftv v) |
BOOLEAN | jjLIST_PL (leftv res, leftv v) |
BOOLEAN | jjVARIABLES_P (leftv res, leftv u) |
BOOLEAN | jjVARIABLES_ID (leftv res, leftv u) |
int | iiRegularity (lists L) |
leftv | singular_system (sleftv h) |
BOOLEAN | jjSYSTEM (leftv res, leftv v) |
void | iiDebug () |
BOOLEAN | iiCheckRing (int i) |
poly | iiHighCorner (ideal i, int ak) |
char * | iiConvName (const char *libname) |
BOOLEAN | iiLoadLIB (FILE *fp, const char *libnamebuf, const char *newlib, idhdl pl, BOOLEAN autoexport, BOOLEAN tellerror) |
lists | syConvRes (syStrategy syzstr, BOOLEAN toDel=FALSE, int add_row_shift=0) |
syStrategy | syForceMin (lists li) |
syStrategy | syConvList (lists li) |
BOOLEAN | syBetti1 (leftv res, leftv u) |
BOOLEAN | syBetti2 (leftv res, leftv u, leftv w) |
BOOLEAN | iiExprArith1 (leftv res, sleftv *a, int op) |
BOOLEAN | iiExprArith2 (leftv res, sleftv *a, int op, sleftv *b, BOOLEAN proccall=FALSE) |
BOOLEAN | iiExprArith3 (leftv res, int op, leftv a, leftv b, leftv c) |
BOOLEAN | iiExprArithM (leftv res, sleftv *a, int op) |
BOOLEAN | iiApply (leftv res, leftv a, int op, leftv proc) |
BOOLEAN | iiAssign (leftv left, leftv right, BOOLEAN toplevel=TRUE) |
BOOLEAN | iiParameter (leftv p) |
BOOLEAN | iiAlias (leftv p) |
int | iiTokType (int op) |
int | iiDeclCommand (leftv sy, leftv name, int lev, int t, idhdl *root, BOOLEAN isring=FALSE, BOOLEAN init_b=TRUE) |
BOOLEAN | iiMake_proc (idhdl pn, package pack, sleftv *sl) |
char * | showOption () |
BOOLEAN | setOption (leftv res, leftv v) |
char * | versionString () |
void | singular_example (char *str) |
BOOLEAN | iiTryLoadLib (leftv v, const char *id) |
int | iiAddCproc (const char *libname, const char *procname, BOOLEAN pstatic, BOOLEAN(*func)(leftv res, leftv v)) |
void | iiCheckPack (package &p) |
void | rSetHdl (idhdl h) |
ring | rInit (leftv pn, leftv rv, leftv ord) |
idhdl | rDefault (const char *s) |
idhdl | rSimpleFindHdl (ring r, idhdl root, idhdl n=NULL) |
idhdl | rFindHdl (ring r, idhdl n) |
void | rKill (idhdl h) |
void | rKill (ring r) |
lists | scIndIndset (ideal S, BOOLEAN all, ideal Q) |
BOOLEAN | mpKoszul (leftv res, leftv c, leftv b, leftv id) |
BOOLEAN | mpJacobi (leftv res, leftv a) |
BOOLEAN | jjRESULTANT (leftv res, leftv u, leftv v, leftv w) |
BOOLEAN | kQHWeight (leftv res, leftv v) |
BOOLEAN | kWeight (leftv res, leftv id) |
BOOLEAN | loSimplex (leftv res, leftv args) |
Implementation of the Simplex Algorithm. More... | |
BOOLEAN | loNewtonP (leftv res, leftv arg1) |
compute Newton Polytopes of input polynomials 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... | |
BOOLEAN | jjCHARSERIES (leftv res, leftv u) |
void | paPrint (const char *n, package p) |
BOOLEAN | iiTestAssume (leftv a, leftv b) |
BOOLEAN | iiExprArith1Tab (leftv res, leftv a, int op, const struct sValCmd1 *dA1, int at, const struct sConvertTypes *dConvertTypes) |
apply an operation 'op' to an argument a return TRUE on failure More... | |
BOOLEAN | iiExprArith2Tab (leftv res, leftv a, int op, const struct sValCmd2 *dA2, int at, const struct sConvertTypes *dConvertTypes) |
apply an operation 'op' to arguments a and a->next return TRUE on failure More... | |
BOOLEAN | iiExprArith3Tab (leftv res, leftv a, int op, const struct sValCmd3 *dA3, int at, const struct sConvertTypes *dConvertTypes) |
apply an operation 'op' to arguments a, a->next and a->next->next return TRUE on failure More... | |
BOOLEAN | iiCheckTypes (leftv args, const short *type_list, int report=0) |
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... | |
BOOLEAN | iiBranchTo (leftv r, leftv args) |
lists | rDecompose (const ring r) |
lists | rDecompose_list_cf (const ring r) |
BOOLEAN | rDecompose_CF (leftv res, const coeffs C) |
Variables | |
leftv | iiCurrArgs |
idhdl | iiCurrProc |
int | iiOp |
const char * | currid |
int | iiRETURNEXPR_len |
sleftv | iiRETURNEXPR |
ring * | iiLocalRing |
const char * | lastreserved |
int | myynest |
int | printlevel |
int | si_echo |
BOOLEAN | yyInRingConstruction |
struct sValCmd2 | dArith2 [] |
struct sValCmd1 | dArith1 [] |
struct sValCmd3 | dArith3 [] |
struct sValCmdM | dArithM [] |
struct sValCmd1 |
Definition at line 66 of file gentable.cc.
Data Fields | ||
---|---|---|
short | arg | |
short | cmd | |
int | p | |
proc1 | p | |
short | res | |
short | valid_for |
struct sValCmd2 |
Definition at line 57 of file gentable.cc.
Data Fields | ||
---|---|---|
short | arg1 | |
short | arg2 | |
short | cmd | |
int | p | |
proc2 | p | |
short | res | |
short | valid_for |
struct sValCmd3 |
Definition at line 74 of file gentable.cc.
Data Fields | ||
---|---|---|
short | arg1 | |
short | arg2 | |
short | arg3 | |
short | cmd | |
int | p | |
proc3 | p | |
short | res | |
short | valid_for |
struct sValCmdM |
Definition at line 84 of file gentable.cc.
Data Fields | ||
---|---|---|
short | cmd | |
short | number_of_args | |
int | p | |
proc1 | p | |
short | res | |
short | valid_for |
struct sValAssign_sys |
Definition at line 92 of file gentable.cc.
Data Fields | ||
---|---|---|
short | arg | |
int | p | |
proc1 | p | |
short | res |
struct sValAssign |
Definition at line 99 of file gentable.cc.
Data Fields | ||
---|---|---|
short | arg | |
int | p | |
proci | p | |
short | res |
int exprlist_length | ( | leftv | v | ) |
Definition at line 546 of file ipshell.cc.
int iiAddCproc | ( | const char * | libname, |
const char * | procname, | ||
BOOLEAN | pstatic, | ||
BOOLEAN(*)(leftv res, leftv v) | func | ||
) |
Definition at line 908 of file iplib.cc.
Definition at line 743 of file ipid.cc.
BOOLEAN iiAllStart | ( | procinfov | pi, |
char * | p, | ||
feBufferTypes | t, | ||
int | l | ||
) |
Definition at line 311 of file iplib.cc.
Definition at line 6319 of file ipshell.cc.
Definition at line 6368 of file ipshell.cc.
Definition at line 1780 of file ipassign.cc.
Definition at line 6402 of file ipshell.cc.
Definition at line 1181 of file ipshell.cc.
void iiCheckPack | ( | package & | p | ) |
Definition at line 1509 of file ipshell.cc.
BOOLEAN iiCheckRing | ( | int | i | ) |
Definition at line 1465 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 6460 of file ipshell.cc.
void iiDebug | ( | ) |
Definition at line 986 of file ipshell.cc.
int iiDeclCommand | ( | leftv | sy, |
leftv | name, | ||
int | lev, | ||
int | t, | ||
idhdl * | root, | ||
BOOLEAN | isring = FALSE , |
||
BOOLEAN | init_b = TRUE |
||
) |
Definition at line 1124 of file ipshell.cc.
Definition at line 591 of file iplib.cc.
Definition at line 1385 of file ipshell.cc.
Definition at line 1411 of file ipshell.cc.
BOOLEAN iiExprArith1Tab | ( | leftv | res, |
leftv | a, | ||
int | op, | ||
const struct sValCmd1 * | dA1, | ||
int | at, | ||
const struct sConvertTypes * | dConvertTypes | ||
) |
apply an operation 'op' to an argument a return TRUE on failure
[out] | res | pre-allocated result |
[in] | a | argument |
[in] | op | operation |
[in] | dA1 | table of possible proc assumes dArith1[0].cmd==op |
[in] | at | a->Typ() |
[in] | dConvertTypes | table of type conversions |
Definition at line 8294 of file iparith.cc.
BOOLEAN iiExprArith2Tab | ( | leftv | res, |
leftv | a, | ||
int | op, | ||
const struct sValCmd2 * | dA2, | ||
int | at, | ||
const struct sConvertTypes * | dConvertTypes | ||
) |
apply an operation 'op' to arguments a and a->next return TRUE on failure
[out] | res | pre-allocated result |
[in] | a | 2 arguments |
[in] | op | operation |
[in] | dA2 | table of possible proc assumes dA2[0].cmd==op |
[in] | at | a->Typ() |
[in] | dConvertTypes | table of type conversions |
Definition at line 8222 of file iparith.cc.
Definition at line 8634 of file iparith.cc.
BOOLEAN iiExprArith3Tab | ( | leftv | res, |
leftv | a, | ||
int | op, | ||
const struct sValCmd3 * | dA3, | ||
int | at, | ||
const struct sConvertTypes * | dConvertTypes | ||
) |
apply an operation 'op' to arguments a, a->next and a->next->next return TRUE on failure
[out] | res | pre-allocated result |
[in] | a | 3 arguments |
[in] | op | operation |
[in] | dA3 | table of possible proc assumes dA3[0].cmd==op |
[in] | at | a->Typ() |
[in] | dConvertTypes | table of type conversions |
Definition at line 8686 of file iparith.cc.
char* iiGetLibName | ( | procinfov | v | ) |
char* iiGetLibProcBuffer | ( | procinfov | pi, |
int | part = 1 |
||
) |
poly iiHighCorner | ( | ideal | i, |
int | ak | ||
) |
Definition at line 1485 of file ipshell.cc.
Definition at line 1339 of file ipshell.cc.
Definition at line 718 of file iplib.cc.
BOOLEAN iiLoadLIB | ( | FILE * | fp, |
const char * | libnamebuf, | ||
const char * | newlib, | ||
idhdl | pl, | ||
BOOLEAN | autoexport, | ||
BOOLEAN | tellerror | ||
) |
Definition at line 807 of file iplib.cc.
Definition at line 501 of file iplib.cc.
void iiMakeResolv | ( | resolvente | r, |
int | length, | ||
int | rlen, | ||
char * | name, | ||
int | typ0, | ||
intvec ** | weights = NULL |
||
) |
Definition at line 768 of file ipshell.cc.
Definition at line 609 of file ipshell.cc.
int iiOpsTwoChar | ( | const char * | s | ) |
Definition at line 119 of file ipshell.cc.
Definition at line 1251 of file ipshell.cc.
Definition at line 371 of file iplib.cc.
int iiRegularity | ( | lists | L | ) |
Definition at line 958 of file ipshell.cc.
Definition at line 6341 of file ipshell.cc.
int iiTokType | ( | int | op | ) |
Definition at line 242 of file iparith.cc.
Definition at line 656 of file iplib.cc.
const char* iiTwoOps | ( | int | t | ) |
Definition at line 252 of file gentable.cc.
Definition at line 582 of file ipshell.cc.
int IsCmd | ( | const char * | n, |
int & | tok | ||
) |
Definition at line 8830 of file iparith.cc.
Definition at line 888 of file ipshell.cc.
Definition at line 922 of file ipshell.cc.
Definition at line 901 of file ipshell.cc.
Definition at line 3252 of file ipshell.cc.
Definition at line 2172 of file ipassign.cc.
Definition at line 7480 of file iparith.cc.
load lib/module given in v
Definition at line 5332 of file iparith.cc.
Definition at line 5396 of file iparith.cc.
Definition at line 867 of file ipshell.cc.
Definition at line 3245 of file ipshell.cc.
Definition at line 245 of file extra.cc.
Definition at line 6214 of file ipshell.cc.
Definition at line 6206 of file ipshell.cc.
void killlocals | ( | int | v | ) |
Definition at line 376 of file ipshell.cc.
Definition at line 3228 of file ipshell.cc.
Definition at line 3206 of file ipshell.cc.
void list_cmd | ( | int | typ, |
const char * | what, | ||
const char * | prefix, | ||
BOOLEAN | iterate, | ||
BOOLEAN | fullname = FALSE |
||
) |
Definition at line 415 of file ipshell.cc.
Implementation of the Simplex Algorithm.
For args, see class simplex.
Definition at line 4474 of file ipshell.cc.
Definition at line 2976 of file ipshell.cc.
Definition at line 2998 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 4583 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 4560 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 4813 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 4712 of file ipshell.cc.
Definition at line 6229 of file ipshell.cc.
Definition at line 2023 of file ipshell.cc.
Definition at line 1817 of file ipshell.cc.
Definition at line 1890 of file ipshell.cc.
Definition at line 1523 of file ipshell.cc.
Definition at line 1568 of file ipshell.cc.
Definition at line 5503 of file ipshell.cc.
void rKill | ( | idhdl | h | ) |
Definition at line 6095 of file ipshell.cc.
void rKill | ( | ring | r | ) |
Definition at line 6044 of file ipshell.cc.
void rSetHdl | ( | idhdl | h | ) |
Definition at line 5017 of file ipshell.cc.
Definition at line 6121 of file ipshell.cc.
Definition at line 1024 of file ipshell.cc.
Definition at line 4456 of file ipshell.cc.
Definition at line 4416 of file ipshell.cc.
Definition at line 575 of file misc_ip.cc.
char* showOption | ( | ) |
Definition at line 717 of file misc_ip.cc.
void singular_example | ( | char * | str | ) |
Definition at line 439 of file misc_ip.cc.
Definition at line 4333 of file ipshell.cc.
Definition at line 4089 of file ipshell.cc.
Definition at line 4038 of file ipshell.cc.
Definition at line 4375 of file ipshell.cc.
Definition at line 3076 of file ipshell.cc.
Definition at line 3053 of file ipshell.cc.
syStrategy syConvList | ( | lists | li | ) |
Definition at line 3161 of file ipshell.cc.
lists syConvRes | ( | syStrategy | syzstr, |
BOOLEAN | toDel = FALSE , |
||
int | add_row_shift = 0 |
||
) |
Definition at line 3088 of file ipshell.cc.
syStrategy syForceMin | ( | lists | li | ) |
Definition at line 3190 of file ipshell.cc.
void test_cmd | ( | int | i | ) |
Definition at line 508 of file ipshell.cc.
const char* Tok2Cmdname | ( | int | i | ) |
Definition at line 128 of file gentable.cc.
void type_cmd | ( | leftv | v | ) |
Definition at line 244 of file ipshell.cc.
char* versionString | ( | ) |
Definition at line 778 of file misc_ip.cc.
const char* currid |
Definition at line 171 of file grammar.cc.
leftv iiCurrArgs |
Definition at line 78 of file ipshell.cc.
idhdl iiCurrProc |
Definition at line 79 of file ipshell.cc.
int iiOp |
Definition at line 227 of file iparith.cc.
const char* lastreserved |
Definition at line 80 of file ipshell.cc.
BOOLEAN yyInRingConstruction |
Definition at line 172 of file grammar.cc.