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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 char *(* | Proc1) (char *) |
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 toDel) |
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 |
const char * | singular_date |
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 554 of file ipshell.cc.
int iiAddCproc | ( | const char * | libname, |
const char * | procname, | ||
BOOLEAN | pstatic, | ||
BOOLEAN(*)(leftv res, leftv v) | func | ||
) |
Definition at line 993 of file iplib.cc.
Definition at line 745 of file ipid.cc.
BOOLEAN iiAllStart | ( | procinfov | pi, |
char * | p, | ||
feBufferTypes | t, | ||
int | l | ||
) |
Definition at line 312 of file iplib.cc.
Definition at line 6351 of file ipshell.cc.
Definition at line 6400 of file ipshell.cc.
Definition at line 1783 of file ipassign.cc.
Definition at line 6434 of file ipshell.cc.
Definition at line 1178 of file ipshell.cc.
void iiCheckPack | ( | package & | p | ) |
Definition at line 1516 of file ipshell.cc.
BOOLEAN iiCheckRing | ( | int | i | ) |
Definition at line 1472 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 6492 of file ipshell.cc.
void iiDebug | ( | ) |
Definition at line 985 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 1123 of file ipshell.cc.
Definition at line 655 of file iplib.cc.
Definition at line 1392 of file ipshell.cc.
Definition at line 1418 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 8286 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 8214 of file iparith.cc.
Definition at line 8626 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 8678 of file iparith.cc.
char* iiGetLibName | ( | procinfov | v | ) |
char* iiGetLibProcBuffer | ( | procinfov | pi, |
int | part = 1 |
||
) |
poly iiHighCorner | ( | ideal | i, |
int | ak | ||
) |
Definition at line 1492 of file ipshell.cc.
Definition at line 1346 of file ipshell.cc.
Definition at line 803 of file iplib.cc.
BOOLEAN iiLoadLIB | ( | FILE * | fp, |
const char * | libnamebuf, | ||
const char * | newlib, | ||
idhdl | pl, | ||
BOOLEAN | autoexport, | ||
BOOLEAN | tellerror | ||
) |
Definition at line 892 of file iplib.cc.
Definition at line 563 of file iplib.cc.
void iiMakeResolv | ( | resolvente | r, |
int | length, | ||
int | rlen, | ||
char * | name, | ||
int | typ0, | ||
intvec ** | weights = NULL |
||
) |
Definition at line 776 of file ipshell.cc.
Definition at line 617 of file ipshell.cc.
int iiOpsTwoChar | ( | const char * | s | ) |
Definition at line 120 of file ipshell.cc.
Definition at line 1248 of file ipshell.cc.
Definition at line 372 of file iplib.cc.
int iiRegularity | ( | lists | L | ) |
Definition at line 957 of file ipshell.cc.
Definition at line 6373 of file ipshell.cc.
int iiTokType | ( | int | op | ) |
Definition at line 244 of file iparith.cc.
Definition at line 741 of file iplib.cc.
const char* iiTwoOps | ( | int | t | ) |
Definition at line 252 of file gentable.cc.
Definition at line 590 of file ipshell.cc.
int IsCmd | ( | const char * | n, |
int & | tok | ||
) |
Definition at line 8822 of file iparith.cc.
Definition at line 896 of file ipshell.cc.
Definition at line 930 of file ipshell.cc.
Definition at line 909 of file ipshell.cc.
Definition at line 3262 of file ipshell.cc.
Definition at line 2175 of file ipassign.cc.
Definition at line 7495 of file iparith.cc.
load lib/module given in v
Definition at line 5345 of file iparith.cc.
Definition at line 5409 of file iparith.cc.
Definition at line 875 of file ipshell.cc.
Definition at line 3255 of file ipshell.cc.
Definition at line 245 of file extra.cc.
Definition at line 6246 of file ipshell.cc.
Definition at line 6238 of file ipshell.cc.
void killlocals | ( | int | v | ) |
Definition at line 380 of file ipshell.cc.
Definition at line 3238 of file ipshell.cc.
Definition at line 3216 of file ipshell.cc.
void list_cmd | ( | int | typ, |
const char * | what, | ||
const char * | prefix, | ||
BOOLEAN | iterate, | ||
BOOLEAN | fullname = FALSE |
||
) |
Definition at line 420 of file ipshell.cc.
Implementation of the Simplex Algorithm.
For args, see class simplex.
Definition at line 4484 of file ipshell.cc.
Definition at line 2985 of file ipshell.cc.
Definition at line 3007 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 4593 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 4570 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 4826 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 4725 of file ipshell.cc.
Definition at line 6261 of file ipshell.cc.
Definition at line 2030 of file ipshell.cc.
Definition at line 1824 of file ipshell.cc.
Definition at line 1897 of file ipshell.cc.
Definition at line 1532 of file ipshell.cc.
Definition at line 1577 of file ipshell.cc.
Definition at line 5516 of file ipshell.cc.
void rKill | ( | idhdl | h | ) |
Definition at line 6126 of file ipshell.cc.
void rKill | ( | ring | r | ) |
Definition at line 6057 of file ipshell.cc.
void rSetHdl | ( | idhdl | h | ) |
Definition at line 5030 of file ipshell.cc.
Definition at line 6145 of file ipshell.cc.
Definition at line 1023 of file ipshell.cc.
Definition at line 4466 of file ipshell.cc.
Definition at line 4426 of file ipshell.cc.
Definition at line 575 of file misc_ip.cc.
char* showOption | ( | ) |
Definition at line 721 of file misc_ip.cc.
void singular_example | ( | char * | str | ) |
Definition at line 439 of file misc_ip.cc.
Definition at line 4343 of file ipshell.cc.
Definition at line 4099 of file ipshell.cc.
Definition at line 4048 of file ipshell.cc.
Definition at line 4385 of file ipshell.cc.
Definition at line 3085 of file ipshell.cc.
Definition at line 3062 of file ipshell.cc.
syStrategy syConvList | ( | lists | li, |
BOOLEAN | toDel | ||
) |
Definition at line 3170 of file ipshell.cc.
lists syConvRes | ( | syStrategy | syzstr, |
BOOLEAN | toDel = FALSE , |
||
int | add_row_shift = 0 |
||
) |
Definition at line 3097 of file ipshell.cc.
syStrategy syForceMin | ( | lists | li | ) |
Definition at line 3200 of file ipshell.cc.
void test_cmd | ( | int | i | ) |
Definition at line 516 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 246 of file ipshell.cc.
char* versionString | ( | ) |
Definition at line 778 of file misc_ip.cc.
const char* currid |
Definition at line 172 of file grammar.cc.
leftv iiCurrArgs |
Definition at line 79 of file ipshell.cc.
idhdl iiCurrProc |
Definition at line 80 of file ipshell.cc.
int iiOp |
Definition at line 229 of file iparith.cc.
const char* lastreserved |
Definition at line 81 of file ipshell.cc.
const char* singular_date |
BOOLEAN yyInRingConstruction |
Definition at line 173 of file grammar.cc.