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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 | checkall () |
void | rSetHdl (idhdl h) |
ring | rInit (sleftv *pn, sleftv *rv, sleftv *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, struct sValCmd1 *dA1, int at, struct sConvertTypes *dConvertTypes) |
apply an operation 'op' to an argument a return TRUE on failure More... | |
BOOLEAN | iiExprArith2Tab (leftv res, leftv a, int op, struct sValCmd2 *dA2, int at, 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, struct sValCmd3 *dA3, int at, 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) |
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 |
void checkall | ( | ) |
Definition at line 1016 of file misc_ip.cc.
int exprlist_length | ( | leftv | v | ) |
Definition at line 552 of file ipshell.cc.
int iiAddCproc | ( | const char * | libname, |
const char * | procname, | ||
BOOLEAN | pstatic, | ||
BOOLEAN(*)(leftv res, leftv v) | func | ||
) |
Definition at line 1001 of file iplib.cc.
Definition at line 742 of file ipid.cc.
BOOLEAN iiAllStart | ( | procinfov | pi, |
char * | p, | ||
feBufferTypes | t, | ||
int | l | ||
) |
Definition at line 322 of file iplib.cc.
Definition at line 5984 of file ipshell.cc.
Definition at line 6033 of file ipshell.cc.
Definition at line 1772 of file ipassign.cc.
Definition at line 6067 of file ipshell.cc.
Definition at line 1167 of file ipshell.cc.
void iiCheckPack | ( | package & | p | ) |
Definition at line 1504 of file ipshell.cc.
BOOLEAN iiCheckRing | ( | int | i | ) |
Definition at line 1460 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 6122 of file ipshell.cc.
void iiDebug | ( | ) |
Definition at line 974 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 1112 of file ipshell.cc.
Definition at line 665 of file iplib.cc.
Definition at line 1380 of file ipshell.cc.
Definition at line 1406 of file ipshell.cc.
BOOLEAN iiExprArith1Tab | ( | leftv | res, |
leftv | a, | ||
int | op, | ||
struct sValCmd1 * | dA1, | ||
int | at, | ||
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 8185 of file iparith.cc.
BOOLEAN iiExprArith2Tab | ( | leftv | res, |
leftv | a, | ||
int | op, | ||
struct sValCmd2 * | dA2, | ||
int | at, | ||
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 8113 of file iparith.cc.
Definition at line 8525 of file iparith.cc.
BOOLEAN iiExprArith3Tab | ( | leftv | res, |
leftv | a, | ||
int | op, | ||
struct sValCmd3 * | dA3, | ||
int | at, | ||
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 8577 of file iparith.cc.
char* iiGetLibName | ( | procinfov | v | ) |
char* iiGetLibProcBuffer | ( | procinfov | pi, |
int | part = 1 |
||
) |
poly iiHighCorner | ( | ideal | i, |
int | ak | ||
) |
Definition at line 1480 of file ipshell.cc.
Definition at line 1334 of file ipshell.cc.
Definition at line 811 of file iplib.cc.
BOOLEAN iiLoadLIB | ( | FILE * | fp, |
const char * | libnamebuf, | ||
const char * | newlib, | ||
idhdl | pl, | ||
BOOLEAN | autoexport, | ||
BOOLEAN | tellerror | ||
) |
Definition at line 900 of file iplib.cc.
Definition at line 573 of file iplib.cc.
void iiMakeResolv | ( | resolvente | r, |
int | length, | ||
int | rlen, | ||
char * | name, | ||
int | typ0, | ||
intvec ** | weights = NULL |
||
) |
Definition at line 765 of file ipshell.cc.
Definition at line 615 of file ipshell.cc.
int iiOpsTwoChar | ( | const char * | s | ) |
Definition at line 125 of file ipshell.cc.
Definition at line 1237 of file ipshell.cc.
Definition at line 382 of file iplib.cc.
int iiRegularity | ( | lists | L | ) |
Definition at line 946 of file ipshell.cc.
Definition at line 6006 of file ipshell.cc.
int iiTokType | ( | int | op | ) |
Definition at line 254 of file iparith.cc.
Definition at line 751 of file iplib.cc.
const char* iiTwoOps | ( | int | t | ) |
Definition at line 250 of file gentable.cc.
Definition at line 588 of file ipshell.cc.
int IsCmd | ( | const char * | n, |
int & | tok | ||
) |
Definition at line 8722 of file iparith.cc.
Definition at line 885 of file ipshell.cc.
Definition at line 919 of file ipshell.cc.
Definition at line 898 of file ipshell.cc.
Definition at line 2928 of file ipshell.cc.
Definition at line 2183 of file ipassign.cc.
Definition at line 7394 of file iparith.cc.
load lib/module given in v
Definition at line 5274 of file iparith.cc.
Definition at line 5338 of file iparith.cc.
Definition at line 864 of file ipshell.cc.
Definition at line 2921 of file ipshell.cc.
Definition at line 245 of file extra.cc.
Definition at line 5879 of file ipshell.cc.
Definition at line 5871 of file ipshell.cc.
void killlocals | ( | int | v | ) |
Definition at line 385 of file ipshell.cc.
Definition at line 2904 of file ipshell.cc.
Definition at line 2882 of file ipshell.cc.
void list_cmd | ( | int | typ, |
const char * | what, | ||
const char * | prefix, | ||
BOOLEAN | iterate, | ||
BOOLEAN | fullname = FALSE |
||
) |
Definition at line 425 of file ipshell.cc.
Implementation of the Simplex Algorithm.
For args, see class simplex.
Definition at line 4150 of file ipshell.cc.
Definition at line 2648 of file ipshell.cc.
Definition at line 2670 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 4259 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 4236 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 4492 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 4391 of file ipshell.cc.
Definition at line 5894 of file ipshell.cc.
Definition at line 1520 of file ipshell.cc.
Definition at line 1565 of file ipshell.cc.
Definition at line 5179 of file ipshell.cc.
void rKill | ( | idhdl | h | ) |
Definition at line 5759 of file ipshell.cc.
void rKill | ( | ring | r | ) |
Definition at line 5690 of file ipshell.cc.
void rSetHdl | ( | idhdl | h | ) |
Definition at line 4696 of file ipshell.cc.
Definition at line 5778 of file ipshell.cc.
Definition at line 1012 of file ipshell.cc.
Definition at line 4132 of file ipshell.cc.
Definition at line 4092 of file ipshell.cc.
Definition at line 580 of file misc_ip.cc.
char* showOption | ( | ) |
Definition at line 726 of file misc_ip.cc.
void singular_example | ( | char * | str | ) |
Definition at line 437 of file misc_ip.cc.
Definition at line 4009 of file ipshell.cc.
Definition at line 3765 of file ipshell.cc.
Definition at line 3714 of file ipshell.cc.
Definition at line 4051 of file ipshell.cc.
Definition at line 2748 of file ipshell.cc.
Definition at line 2725 of file ipshell.cc.
syStrategy syConvList | ( | lists | li, |
BOOLEAN | toDel | ||
) |
Definition at line 2836 of file ipshell.cc.
lists syConvRes | ( | syStrategy | syzstr, |
BOOLEAN | toDel = FALSE , |
||
int | add_row_shift = 0 |
||
) |
Definition at line 2760 of file ipshell.cc.
syStrategy syForceMin | ( | lists | li | ) |
Definition at line 2866 of file ipshell.cc.
void test_cmd | ( | int | i | ) |
Definition at line 514 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 251 of file ipshell.cc.
char* versionString | ( | ) |
Definition at line 783 of file misc_ip.cc.
const char* currid |
Definition at line 172 of file grammar.cc.
leftv iiCurrArgs |
Definition at line 84 of file ipshell.cc.
idhdl iiCurrProc |
Definition at line 85 of file ipshell.cc.
int iiOp |
Definition at line 239 of file iparith.cc.
const char* lastreserved |
Definition at line 86 of file ipshell.cc.
const char* singular_date |
Definition at line 1163 of file misc_ip.cc.
BOOLEAN yyInRingConstruction |
Definition at line 173 of file grammar.cc.