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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, leftv sl) |
BOOLEAN | iiEStart (char *example, procinfo *pi) |
BOOLEAN | iiAllStart (procinfov pi, const 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) |
static char * | iiGetLibName (const procinfov pi) |
find the library of an proc | |
char * | iiGetLibProcBuffer (procinfov pi, int part=1) |
char * | iiProcName (char *buf, char &ct, char *&e) |
char * | iiProcArgs (char *e, BOOLEAN withParenth) |
BOOLEAN | iiLibCmd (const char *newlib, BOOLEAN autoexport, BOOLEAN tellerror, BOOLEAN force) |
BOOLEAN | jjLOAD (const char *s, BOOLEAN autoexport=FALSE) |
load lib/module given in v | |
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 | iiGetLibStatus (const char *lib) |
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 | 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) |
coeffs | jjSetMinpoly (coeffs cf, number a) |
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, leftv sl) |
void * | iiCallLibProc1 (const char *n, void *arg, int arg_type, BOOLEAN &err) |
leftv | ii_CallLibProcM (const char *n, void **args, int *arg_types, const ring R, BOOLEAN &err) |
args: NULL terminated array of arguments arg_types: 0 terminated array of corresponding types | |
ideal | ii_CallProcId2Id (const char *lib, const char *proc, ideal arg, const ring R) |
int | ii_CallProcId2Int (const char *lib, const char *proc, ideal arg, const ring R) |
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 | 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. | |
BOOLEAN | loNewtonP (leftv res, leftv arg1) |
compute Newton Polytopes of input polynomials | |
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) | |
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. | |
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. | |
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). | |
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 | |
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 | |
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 | |
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 | |
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) |
ring | rCompose (const lists L, const BOOLEAN check_comp=TRUE, const long bitmask=0x7fff, const int isLetterplace=FALSE) |
void | iiSetReturn (const leftv h) |
Variables | |
EXTERN_VAR leftv | iiCurrArgs |
EXTERN_VAR idhdl | iiCurrProc |
EXTERN_VAR int | iiOp |
const char * | currid |
EXTERN_VAR int | iiRETURNEXPR_len |
EXTERN_INST_VAR sleftv | iiRETURNEXPR |
EXTERN_VAR ring * | iiLocalRing |
const char * | lastreserved |
EXTERN_VAR int | myynest |
EXTERN_VAR int | printlevel |
EXTERN_VAR int | si_echo |
EXTERN_VAR BOOLEAN | yyInRingConstruction |
const struct sValCmd2 | dArith2 [] |
const struct sValCmd1 | dArith1 [] |
const struct sValCmd3 | dArith3 [] |
const struct sValCmdM | dArithM [] |
struct sValCmd1 |
Definition at line 73 of file gentable.cc.
Data Fields | ||
---|---|---|
short | arg | |
short | cmd | |
int | p | |
proc1 | p | |
short | res | |
short | valid_for |
struct sValCmd2 |
Definition at line 64 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 81 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 91 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 99 of file gentable.cc.
Data Fields | ||
---|---|---|
short | arg | |
int | p | |
proc1 | p | |
short | res |
struct sValAssign |
Definition at line 106 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.
leftv ii_CallLibProcM | ( | const char * | n, |
void ** | args, | ||
int * | arg_types, | ||
const ring | R, | ||
BOOLEAN & | err ) |
args: NULL terminated array of arguments arg_types: 0 terminated array of corresponding types
Definition at line 709 of file iplib.cc.
Definition at line 669 of file iplib.cc.
Definition at line 688 of file iplib.cc.
int iiAddCproc | ( | const char * | libname, |
const char * | procname, | ||
BOOLEAN | pstatic, | ||
BOOLEAN(* | func )(leftv res, leftv v) ) |
Definition at line 1072 of file iplib.cc.
Definition at line 823 of file ipid.cc.
BOOLEAN iiAllStart | ( | procinfov | pi, |
const char * | p, | ||
feBufferTypes | t, | ||
int | l ) |
Definition at line 306 of file iplib.cc.
Definition at line 6423 of file ipshell.cc.
Definition at line 6472 of file ipshell.cc.
Definition at line 2097 of file ipassign.cc.
Definition at line 6507 of file ipshell.cc.
Definition at line 1272 of file ipshell.cc.
Definition at line 635 of file iplib.cc.
void iiCheckPack | ( | package & | p | ) |
Definition at line 1629 of file ipshell.cc.
BOOLEAN iiCheckRing | ( | int | i | ) |
Definition at line 1585 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 6565 of file ipshell.cc.
char * iiConvName | ( | const char * | libname | ) |
Definition at line 1438 of file iplib.cc.
void iiDebug | ( | ) |
Definition at line 1064 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 1197 of file ipshell.cc.
Definition at line 762 of file iplib.cc.
Definition at line 1510 of file ipshell.cc.
Definition at line 1533 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 9222 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 9149 of file iparith.cc.
Definition at line 9562 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 9614 of file iparith.cc.
char * iiGetLibProcBuffer | ( | procinfov | pi, |
int | part = 1 ) |
poly iiHighCorner | ( | ideal | i, |
int | ak ) |
Definition at line 1605 of file ipshell.cc.
Definition at line 1464 of file ipshell.cc.
Definition at line 893 of file iplib.cc.
BOOLEAN iiLoadLIB | ( | FILE * | fp, |
const char * | libnamebuf, | ||
const char * | newlib, | ||
idhdl | pl, | ||
BOOLEAN | autoexport, | ||
BOOLEAN | tellerror ) |
Definition at line 982 of file iplib.cc.
Definition at line 512 of file iplib.cc.
void iiMakeResolv | ( | resolvente | r, |
int | length, | ||
int | rlen, | ||
char * | name, | ||
int | typ0, | ||
intvec ** | weights = NULL ) |
Definition at line 845 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 1375 of file ipshell.cc.
char * iiProcArgs | ( | char * | e, |
BOOLEAN | withParenth ) |
Definition at line 114 of file iplib.cc.
char * iiProcName | ( | char * | buf, |
char & | ct, | ||
char *& | e ) |
Definition at line 379 of file iplib.cc.
int iiRegularity | ( | lists | L | ) |
Definition at line 1036 of file ipshell.cc.
Definition at line 6623 of file ipshell.cc.
Definition at line 6445 of file ipshell.cc.
int iiTokType | ( | int | op | ) |
Definition at line 228 of file iparith.cc.
Definition at line 831 of file iplib.cc.
const char * iiTwoOps | ( | int | t | ) |
Definition at line 256 of file gentable.cc.
Definition at line 586 of file ipshell.cc.
int IsCmd | ( | const char * | n, |
int & | tok ) |
Definition at line 9760 of file iparith.cc.
Definition at line 966 of file ipshell.cc.
Definition at line 1000 of file ipshell.cc.
Definition at line 979 of file ipshell.cc.
Definition at line 3342 of file ipshell.cc.
Definition at line 2510 of file ipassign.cc.
Definition at line 8238 of file iparith.cc.
load lib/module given in v
Definition at line 5575 of file iparith.cc.
Definition at line 5651 of file iparith.cc.
Definition at line 945 of file ipshell.cc.
Definition at line 3335 of file ipshell.cc.
Definition at line 176 of file ipassign.cc.
Definition at line 230 of file extra.cc.
Definition at line 6310 of file ipshell.cc.
Definition at line 6302 of file ipshell.cc.
void killlocals | ( | int | v | ) |
Definition at line 386 of file ipshell.cc.
Definition at line 3318 of file ipshell.cc.
Definition at line 3296 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.
compute Newton Polytopes of input polynomials
Definition at line 4558 of file ipshell.cc.
Implementation of the Simplex Algorithm.
For args, see class simplex.
Definition at line 4564 of file ipshell.cc.
Definition at line 3064 of file ipshell.cc.
Definition at line 3086 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 4673 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 4650 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 4917 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 4816 of file ipshell.cc.
Definition at line 6325 of file ipshell.cc.
ring rCompose | ( | const lists | L, |
const BOOLEAN | check_comp = TRUE, | ||
const long | bitmask = 0x7fff, | ||
const int | isLetterplace = FALSE ) |
Definition at line 2780 of file ipshell.cc.
Definition at line 2151 of file ipshell.cc.
Definition at line 1941 of file ipshell.cc.
Definition at line 2112 of file ipshell.cc.
Definition at line 1643 of file ipshell.cc.
Definition at line 1699 of file ipshell.cc.
Definition at line 5620 of file ipshell.cc.
void rKill | ( | idhdl | h | ) |
Definition at line 6218 of file ipshell.cc.
void rKill | ( | ring | r | ) |
Definition at line 6173 of file ipshell.cc.
void rSetHdl | ( | idhdl | h | ) |
Definition at line 5121 of file ipshell.cc.
Definition at line 1102 of file ipshell.cc.
Definition at line 4546 of file ipshell.cc.
Definition at line 4506 of file ipshell.cc.
Definition at line 568 of file misc_ip.cc.
char * showOption | ( | ) |
Definition at line 709 of file misc_ip.cc.
void singular_example | ( | char * | str | ) |
Definition at line 430 of file misc_ip.cc.
Definition at line 4423 of file ipshell.cc.
Definition at line 4179 of file ipshell.cc.
Definition at line 4128 of file ipshell.cc.
Definition at line 4465 of file ipshell.cc.
Definition at line 3142 of file ipshell.cc.
syStrategy syConvList | ( | lists | li | ) |
Definition at line 3249 of file ipshell.cc.
lists syConvRes | ( | syStrategy | syzstr, |
BOOLEAN | toDel = FALSE, | ||
int | add_row_shift = 0 ) |
Definition at line 3177 of file ipshell.cc.
void test_cmd | ( | int | i | ) |
const char * Tok2Cmdname | ( | int | i | ) |
Definition at line 135 of file gentable.cc.
void type_cmd | ( | leftv | v | ) |
Definition at line 254 of file ipshell.cc.
char * versionString | ( | ) |
Definition at line 770 of file misc_ip.cc.
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extern |
Definition at line 171 of file grammar.cc.
Definition at line 37 of file table.h.
Definition at line 324 of file table.h.
Definition at line 800 of file table.h.
Definition at line 936 of file table.h.
EXTERN_VAR leftv iiCurrArgs |
EXTERN_VAR idhdl iiCurrProc |
EXTERN_VAR ring* iiLocalRing |
EXTERN_VAR int iiOp |
EXTERN_INST_VAR sleftv iiRETURNEXPR |
EXTERN_VAR int iiRETURNEXPR_len |
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extern |
Definition at line 82 of file ipshell.cc.
EXTERN_VAR int myynest |
EXTERN_VAR int printlevel |
EXTERN_VAR int si_echo |
EXTERN_VAR BOOLEAN yyInRingConstruction |