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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 68 of file gentable.cc.
Data Fields | ||
---|---|---|
short | arg | |
short | cmd | |
int | p | |
proc1 | p | |
short | res | |
short | valid_for |
struct sValCmd2 |
Definition at line 59 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 76 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 86 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 94 of file gentable.cc.
Data Fields | ||
---|---|---|
short | arg | |
int | p | |
proc1 | p | |
short | res |
struct sValAssign |
Definition at line 101 of file gentable.cc.
Data Fields | ||
---|---|---|
short | arg | |
int | p | |
proci | p | |
short | res |
int exprlist_length | ( | leftv | v | ) |
Definition at line 550 of file ipshell.cc.
int iiAddCproc | ( | const char * | libname, |
const char * | procname, | ||
BOOLEAN | pstatic, | ||
BOOLEAN(*)(leftv res, leftv v) | func | ||
) |
Definition at line 897 of file iplib.cc.
Definition at line 751 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 6323 of file ipshell.cc.
Definition at line 6372 of file ipshell.cc.
Definition at line 1792 of file ipassign.cc.
Definition at line 6406 of file ipshell.cc.
Definition at line 1185 of file ipshell.cc.
void iiCheckPack | ( | package & | p | ) |
Definition at line 1513 of file ipshell.cc.
BOOLEAN iiCheckRing | ( | int | i | ) |
Definition at line 1469 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 6464 of file ipshell.cc.
void iiDebug | ( | ) |
Definition at line 990 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 1128 of file ipshell.cc.
Definition at line 591 of file iplib.cc.
Definition at line 1389 of file ipshell.cc.
Definition at line 1415 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 8153 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 8081 of file iparith.cc.
Definition at line 8490 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 8542 of file iparith.cc.
char* iiGetLibName | ( | procinfov | v | ) |
char* iiGetLibProcBuffer | ( | procinfov | pi, |
int | part = 1 |
||
) |
poly iiHighCorner | ( | ideal | i, |
int | ak | ||
) |
Definition at line 1489 of file ipshell.cc.
Definition at line 1343 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 772 of file ipshell.cc.
Definition at line 613 of file ipshell.cc.
int iiOpsTwoChar | ( | const char * | s | ) |
Definition at line 121 of file ipshell.cc.
Definition at line 1255 of file ipshell.cc.
Definition at line 371 of file iplib.cc.
int iiRegularity | ( | lists | L | ) |
Definition at line 962 of file ipshell.cc.
Definition at line 6345 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 254 of file gentable.cc.
Definition at line 586 of file ipshell.cc.
int IsCmd | ( | const char * | n, |
int & | tok | ||
) |
Definition at line 8688 of file iparith.cc.
Definition at line 892 of file ipshell.cc.
Definition at line 926 of file ipshell.cc.
Definition at line 905 of file ipshell.cc.
Definition at line 3256 of file ipshell.cc.
Definition at line 2184 of file ipassign.cc.
Definition at line 7340 of file iparith.cc.
load lib/module given in v
Definition at line 5190 of file iparith.cc.
Definition at line 5254 of file iparith.cc.
Definition at line 871 of file ipshell.cc.
Definition at line 3249 of file ipshell.cc.
Definition at line 245 of file extra.cc.
Definition at line 6218 of file ipshell.cc.
Definition at line 6210 of file ipshell.cc.
void killlocals | ( | int | v | ) |
Definition at line 380 of file ipshell.cc.
Definition at line 3232 of file ipshell.cc.
Definition at line 3210 of file ipshell.cc.
void list_cmd | ( | int | typ, |
const char * | what, | ||
const char * | prefix, | ||
BOOLEAN | iterate, | ||
BOOLEAN | fullname = FALSE |
||
) |
Definition at line 419 of file ipshell.cc.
Implementation of the Simplex Algorithm.
For args, see class simplex.
Definition at line 4478 of file ipshell.cc.
Definition at line 2980 of file ipshell.cc.
Definition at line 3002 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 4587 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 4564 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 4817 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 4716 of file ipshell.cc.
Definition at line 6233 of file ipshell.cc.
Definition at line 2027 of file ipshell.cc.
Definition at line 1821 of file ipshell.cc.
Definition at line 1894 of file ipshell.cc.
Definition at line 1527 of file ipshell.cc.
Definition at line 1572 of file ipshell.cc.
Definition at line 5507 of file ipshell.cc.
void rKill | ( | idhdl | h | ) |
Definition at line 6099 of file ipshell.cc.
void rKill | ( | ring | r | ) |
Definition at line 6048 of file ipshell.cc.
void rSetHdl | ( | idhdl | h | ) |
Definition at line 5021 of file ipshell.cc.
Definition at line 6125 of file ipshell.cc.
Definition at line 1028 of file ipshell.cc.
Definition at line 4460 of file ipshell.cc.
Definition at line 4420 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 4337 of file ipshell.cc.
Definition at line 4093 of file ipshell.cc.
Definition at line 4042 of file ipshell.cc.
Definition at line 4379 of file ipshell.cc.
Definition at line 3080 of file ipshell.cc.
Definition at line 3057 of file ipshell.cc.
syStrategy syConvList | ( | lists | li | ) |
Definition at line 3165 of file ipshell.cc.
lists syConvRes | ( | syStrategy | syzstr, |
BOOLEAN | toDel = FALSE , |
||
int | add_row_shift = 0 |
||
) |
Definition at line 3092 of file ipshell.cc.
syStrategy syForceMin | ( | lists | li | ) |
Definition at line 3194 of file ipshell.cc.
void test_cmd | ( | int | i | ) |
Definition at line 512 of file ipshell.cc.
const char* Tok2Cmdname | ( | int | i | ) |
Definition at line 130 of file gentable.cc.
void type_cmd | ( | leftv | v | ) |
Definition at line 248 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 80 of file ipshell.cc.
idhdl iiCurrProc |
Definition at line 81 of file ipshell.cc.
int iiOp |
Definition at line 227 of file iparith.cc.
const char* lastreserved |
Definition at line 82 of file ipshell.cc.
BOOLEAN yyInRingConstruction |
Definition at line 172 of file grammar.cc.