10#ifndef MEATAXE_H_INCLUDED
11#define MEATAXE_H_INCLUDED
17#define MTX_PRINTF_ATTRIBUTE(f,v) __attribute__((format(printf,f,v)))
19#define MTX_PRINTF_ATTRIBUTE(f,v)
31#define FM_NOERROR 0x40
40FILE *
SysFopen(
const char *name,
int mode);
46#define SysReadLong SysReadLong32
47int SysReadLongX(FILE *f,
long *buf,
int n);
53#define SysWriteLong SysWriteLong32
54int SysWriteLongX(FILE *f,
const long *buf,
int n);
56#define ALLOC(type) ((type *) SysMalloc(sizeof(type)))
57#define NALLOC(type,n) ((type *) SysMalloc((size_t)(n) * sizeof(type)))
58#define NREALLOC(x,type,n)\
59 ((type *) SysRealloc(x,(size_t)(n) * sizeof(type)))
60#define FREE(x) SysFree(x)
78typedef unsigned char FEL;
80#define FF_ZERO ((FEL)0)
81#define FF_ONE ((FEL)1)
86typedef unsigned short FEL;
87typedef unsigned short *
PTR;
88#define FF_ZERO ((FEL)0xFFFF)
89#define FF_ONE ((FEL)0)
90#define ZZZVERSION 0x101
119int FfMakeTables(
int field);
147FILE *
FfReadHeader(
const char *name,
int *fld,
int *nor,
int *noc);
158FILE *
FfWriteHeader(
const char *name,
int fld,
int nor,
int noc);
175extern FEL mtx_tnull[8][256];
177extern long mtx_embedord[4];
178extern FEL mtx_embed[4][16];
179extern FEL mtx_restrict[4][256];
181#define FfAdd(a,b) ((FEL)mtx_tadd[(int)(unsigned char)a][(int)(unsigned char)b])
182#define FfDiv(a,b) FfMul((a),FfInv(b))
183#define FfInv(a) (mtx_tmultinv[(int)(unsigned char)a])
184#define FfMul(a,b) ((FEL)mtx_tmult[(int)(unsigned char)a][(int)(unsigned char)b])
185#define FfNeg(a) (mtx_taddinv[(int)(unsigned char)a])
186#define FfSub(a,b) FfAdd((a),FfNeg(b))
190#define FfExtract(row,col) ((FEL)((row)[(col)-1]))
191#define FfInsert(row,col,mark) ((void)((row)[(col)-1] = mark))
211extern int Mtx_IsInitialized;
213extern int MtxOpt_UseOldWordGenerator;
216void MtxCleanupLibrary();
239MTX_PRINTF_ATTRIBUTE(2,3)
241MTX_PRINTF_ATTRIBUTE(2,3)
261#define APP_MAX_ARGS 50
306 unsigned long IsDone[APP_MAX_ARGS];
309 char TempDirName[200];
324#define MTX_COMMON_OPTIONS_SYNTAX \
327#define MTX_COMMON_OPTIONS_DESCRIPTION \
328 " -Q ...................... Quiet, no messages\n" \
329 " -V ...................... Verbose, more messages\n" \
330 " -T <MaxTime> ............ Set CPU time limit [s]\n"
342#define MTX_ERR_NOMEM 1
343#define MTX_ERR_GAME_OVER 2
344#define MTX_ERR_DIV0 8
345#define MTX_ERR_FILEFMT 24
346#define MTX_ERR_BADARG 31
347#define MTX_ERR_RANGE 33
348#define MTX_ERR_NOTECH 34
349#define MTX_ERR_NOTSQUARE 35
350#define MTX_ERR_INCOMPAT 36
351#define MTX_ERR_BADUSAGE 41
352#define MTX_ERR_OPTION 42
353#define MTX_ERR_NARGS 43
354#define MTX_ERR_NOTMATRIX 51
355#define MTX_ERR_NOTPERM 53
390#define MTX_DEFINE_FILE_INFO \
391 static MtxFileInfo_t Mtx_ThisFile = { __FILE__, NULL };
397#define MTX_ERROR(msg) MtxError(&Mtx_ThisFile,__LINE__,msg)
398#define MTX_ERROR1(msg,a1) MtxError(&Mtx_ThisFile,__LINE__,msg,a1)
399#define MTX_ERROR2(msg,a1,a2) MtxError(&Mtx_ThisFile,__LINE__,msg,a1,a2)
400#define MTX_ERROR3(msg,a1,a2,a3) MtxError(&Mtx_ThisFile,__LINE__,msg,a1,a2,a3)
401#define MTX_ERROR4(msg,a1,a2,a3,a4) MtxError(&Mtx_ThisFile,__LINE__,\
403#define MTX_ERROR5(msg,a1,a2,a3,a4,a5) MtxError(&Mtx_ThisFile,__LINE__,\
405#define MTX_ERROR7(msg,a1,a2,a3,a4,a5,a6,a7) MtxError(&Mtx_ThisFile,__LINE__,\
406 msg,a1,a2,a3,a4,a5,a6,a7)
409#define MTX_VERIFY(e) ((void)((e) ||\
410 MtxError(&Mtx_ThisFile,__LINE__,"Assertion failed: %s",#e)))
417#define MTX_ASSERT(e) MTX_VERIFY(e)
433#define MSG0 (MtxMessageLevel >= 0)
434#define MSG1 (MtxMessageLevel >= 1)
435#define MSG2 (MtxMessageLevel >= 2)
436#define MSG3 (MtxMessageLevel >= 3)
437#define MSG4 (MtxMessageLevel >= 4)
438#define MESSAGE(level,args)\
439 (MtxMessageLevel>=(level) ? ( printf args , fflush(stdout), 1) : 0 )
451long gcd(
long a,
long b);
452long lcm(
long a,
long b);
524int MfReadLong(
MtxFile_t *f,
long *buf,
int nrows);
526int MfWriteLong(
MtxFile_t *f,
const long *buf,
int count);
549 const Matrix_t *src,
int row1,
int col1,
int nrows,
int ncols);
667void Perm_ConvertOld(
long *data,
int len);
764#define BS_BPL (sizeof(long) * 8)
765#define BsSet(bs,i) ((bs)->Data[(i) / BS_BPL] |= 1L << ((i) % BS_BPL))
766#define BsClear(bs,i) ((bs)->Data[(i) / BS_BPL] &= ~(1L << ((i) % BS_BPL)))
767#define BsTest(bs,i) (((bs)->Data[(i) / BS_BPL] & (1L << ((i) % BS_BPL))) != 0 ? 1 : 0)
791int SetPrint(
char *name,
const Set_t *s);
820int XIsCompatible(
void *a,
void *b);
822void *XInverse(
void *a);
823void *XLoad(
const char *fn);
824void XMul(
void *a,
void *b);
826void *XPower(
void *a,
int n);
827int XSave(
void *a,
const char *fn);
880#define MR_COPY_GENERATORS 0x0001
921#define SF_FIRST 0x0001
922#define SF_EACH 0x0002
923#define SF_MAKE 0x0004
925#define SF_CYCLIC 0x0020
926#define SF_COMBINE 0x0040
927#define SF_SEED_MASK 0x000F
928#define SF_MODE_MASK 0x00F0
937 int MaxSubspaceDimension;
960long MakeSeedVector(
const Matrix_t *basis,
long lastno,
PTR vec);
1011#define LAT_MAXCF 200
1012#define MAXCYCL 30000
1013#define MAXDOTL 90000
1014#define MAXNSUB 20000
1015#define LAT_MAXBASENAME 100
1019 long dim, num, mult;
1032 char BaseName[LAT_MAXBASENAME];
1050#define LAT_RG_INVERT 0x0001
1051#define LAT_RG_TRANSPOSE 0x0002
1052#define LAT_RG_STD 0x0004
1075 char NameM[LAT_MAXBASENAME];
1076 char NameN[LAT_MAXBASENAME];
1079 int CfIndex[2][LAT_MAXCF];
1126 unsigned long UserData;
1144#define LD_ISSUB(l,i,k) ((l)->IsSub[(i) * (l)->NNodes + (k)])
1148int LdAddIncidence(
LdLattice_t *lat,
int sub,
int sup);
MtxApplication_t * AppAlloc(MtxApplicationInfo_t const *ai, int argc, const char **argv)
Initialize the application.
Definition: args.c:337
int AppFree(MtxApplication_t *a)
End an application.
Definition: args.c:414
const char * AppGetTextOption(MtxApplication_t *app, const char *spec, const char *dflt)
Check for command line option.
Definition: args.c:521
int AppGetCountedOption(MtxApplication_t *app, const char *spec)
Count repeatable command line option.
Definition: args.c:494
int AppGetIntOption(MtxApplication_t *app, const char *spec, int dflt, int min, int max)
Check for integer-valued option.
Definition: args.c:567
int AppGetOption(MtxApplication_t *app, const char *spec)
Check for command line option.
Definition: args.c:468
char MtxLibDir[1024]
MeatAxe library directory (for multiplication tables etc.)
Definition: args.c:142
int AppGetArguments(MtxApplication_t *app, int min_argc, int max_argc)
Get command line arguments.
Definition: args.c:648
char MtxBinDir[1024]
MeatAxe program directory.
Definition: args.c:128
const char * AppCreateTempDir(MtxApplication_t *app)
Create a temporary directory.
Definition: args.c:712
int BsIntersectionCount(const BitString_t *a, const BitString_t *b)
Intersection count.
Definition: bsmatch.c:54
BitString_t * BsDup(const BitString_t *src)
Duplicate a bit string.
Definition: bsdup.c:30
int BsFree(BitString_t *bs)
Free a bit string.
Definition: bscore.c:126
int BsClearAll(BitString_t *bs)
Clear a bit string This function clears all bits in a bit string.
Definition: bsop.c:33
int BsMinus(BitString_t *dest, const BitString_t *src)
Difference of two bit strings.
Definition: bsminus.c:34
int BsWrite(BitString_t *bs, FILE *f)
Write a bit string to a file.
Definition: bswrite.c:32
BitString_t * BsAlloc(int size)
Create a bit string.
Definition: bscore.c:86
int BsCompare(const BitString_t *a, const BitString_t *b)
Compare two bit strings.
Definition: bsop.c:50
int BsIsSub(const BitString_t *a, const BitString_t *b)
Bit string incidence relation.
Definition: bsissub.c:32
int BsOr(BitString_t *dest, const BitString_t *src)
Union of two bit strings.
Definition: bsor.c:33
BitString_t * BsCopy(BitString_t *dest, const BitString_t *src)
Copy a bit string.
Definition: bsop.c:70
int BsIsValid(const BitString_t *bs)
Check if a bit string is valid.
Definition: bscore.c:54
void BsPrint(const char *name, const BitString_t *bs)
Print a bit string on stdout.
Definition: bsprint.c:35
BitString_t * BsRead(FILE *f)
Read a bit string from a file.
Definition: bsread.c:31
int BsAnd(BitString_t *dest, const BitString_t *src)
Intersection of two bit strings.
Definition: bsand.c:32
const char * Lat_CfName(const Lat_Info *li, int cf)
Make Constituent Name.
Definition: cfinfo.c:428
int Lat_ReadInfo(Lat_Info *li, const char *basename)
Read a Lattice Information File.
Definition: cfinfo.c:152
int Lat_AddHead(Lat_Info *li, int *mult)
Add a Layer to the Radical Series.
Definition: cfinfo.c:476
int Lat_WriteInfo(const Lat_Info *li)
Write a Lattice Information File.
Definition: cfinfo.c:312
MatRep_t * Lat_ReadCfGens(Lat_Info *info, int cf, int flags)
Load a Constituent.
Definition: rdcfgen.c:37
int Lat_AddSocle(Lat_Info *li, int *mult)
Add a Layer to the Socle Series.
Definition: cfinfo.c:459
FPoly_t * MinPol(Matrix_t *mat)
Minimal polynomial.
Definition: minpol.c:266
Poly_t * MinPolFactor(Matrix_t *mat)
Minimal Polynomial.
Definition: minpol.c:211
long CharPolSeed
Seed for Characteristic Polynomial.
Definition: charpol.c:37
FPoly_t * CharPol(const Matrix_t *mat)
Characteristic Polynomial.
Definition: charpol.c:274
Poly_t * CharPolFactor(const Matrix_t *mat)
Characteristic Polynomial.
Definition: charpol.c:219
int MakeEndomorphisms(const MatRep_t *rep, const Matrix_t *nsp, Matrix_t *endo[])
Calculate the endomorphism ring.
Definition: mkendo.c:67
int MtxPrintMessage(FILE *f, const char *fmt,...)
Print a message.
Definition: message.c:218
int MtxMessageLevel
Message level.
Definition: message.c:31
void MtxErrorHandler_t(const MtxErrorRecord_t *)
Error handlers.
Definition: meataxe.h:388
MtxErrorHandler_t * MtxSetErrorHandler(MtxErrorHandler_t *h)
Define an error handler.
Definition: error.c:111
int MtxError(MtxFileInfo_t *fi, int line, const char *text,...)
Signal an error.
Definition: error.c:135
int MtxFormatMessage(char *buf, int bufsize, const char *msg, va_list al)
Format a message.
Definition: message.c:164
int SysWriteLong32(FILE *f, const long *buf, int n)
Write long integers.
Definition: intio.c:103
void FfPermRow(PTR row, const long *perm, PTR result)
Multiply a Vector by a Permutation.
Definition: zpermrow.c:34
int FfSumAndIntersection(PTR wrk1, int *nor1, int *nor2, PTR wrk2, int *piv)
Sum and Intersection of Two Vector Spaces.
Definition: sumint.c:48
int SysReadLong32(FILE *f, long *buf, int n)
Read long integers.
Definition: intio.c:46
int FfCurrentRowSizeIo
I/O row size.
Definition: kernel-0.c:224
int FfCleanRow2(PTR row, PTR matrix, int nor, const int *piv, PTR row2)
Clean Row and Record Operations.
Definition: zcleanrow.c:69
size_t FfTrueRowSize(int noc)
Number of used bytes in a row.
Definition: kernel-0.c:460
PTR FfAddRow(PTR dest, PTR src)
Add two rows.
Definition: kernel-0.c:576
FEL FfFromInt(int l)
Convert integer to field element.
Definition: kernel-0.c:1056
size_t FfCurrentRowSize
Row size.
Definition: kernel-0.c:214
int FfOrder
Current field order.
Definition: zzz2.c:45
void FfAddMulRow(PTR dest, PTR src, FEL f)
Add a multiple of a row.
Definition: kernel-0.c:1022
FEL * PTR
A pointer to a row vector.
Definition: meataxe.h:79
int FfReadRows(FILE *f, PTR buf, int n)
Read Rows This function reads 1 or more rows from a file.
Definition: ffio.c:57
PTR FfSubRow(PTR dest, PTR src)
Subtract two rows.
Definition: kernel-0.c:724
int FfToInt(FEL f)
Convert field element to integer.
Definition: kernel-0.c:1073
int LPR
Number of marks per byte (depends on field order)
Definition: kernel-0.c:28
FEL FfScalarProduct(PTR a, PTR b)
Scalar Product of Two Vectors.
Definition: kernel-0.c:1232
size_t FfRowSize(int noc)
Calculate row size.
Definition: kernel-0.c:444
int FfCmpRows(PTR p1, PTR p2)
Compare two Rows.
Definition: zcmprow.c:37
int FfFindPivot(PTR row, FEL *mark)
Find pivot column.
Definition: kernel-0.c:1392
void FfMulRow(PTR row, FEL mark)
Multiply a row by a coefficient.
Definition: kernel-0.c:986
FEL FfExtract(PTR row, int col)
!function FfExtract "Extract a mark from a row"
Definition: kernel-0.c:1364
unsigned char FEL
A finite field element.
Definition: meataxe.h:78
FEL mtx_tadd[256][256]
table for field element addition
Definition: maketabF.c:33
PTR FfSubRowPartial(PTR dest, PTR src, int first, int len)
Subtract a part of two rows.
Definition: kernel-0.c:814
PTR FfAlloc(int nor)
Allocate memory and initialize This function allocates a block of memory for a vector (if nrows is 1)...
Definition: zzz2.c:78
FEL mtx_textract[8][256]
table for extraction of a mark from a byte
Definition: maketabF.c:37
int FfStepPtr(PTR *x)
Advance to next row.
Definition: zzz2.c:209
FEL FfRestrict(FEL a, int subfield)
Restrict to a subfield.
Definition: kernel-0.c:508
void FfFree(PTR x)
Free memory.
Definition: zzz2.c:110
PTR FfAddRowPartial(PTR dest, PTR src, int first, int len)
Add a part of two rows.
Definition: kernel-0.c:666
FEL mtx_tinsert[8][256]
table for insertion of a mark into a byte
Definition: maketabF.c:39
FEL mtx_tmult[256][256]
table for field element multiplication
Definition: maketabF.c:32
void FfSwapRows(PTR dest, PTR src)
Exchange two rows This function exchanges the contents of two rows.
Definition: zzz2.c:145
PTR FfSubRowPartialReverse(PTR dest, PTR src, int first, int len)
Subtract a part of two rows.
Definition: kernel-0.c:877
void FfCopyRow(PTR dest, PTR src)
Copy a row.
Definition: zzz2.c:127
FEL mtx_tffirst[256][2]
table for value and index of the first non-zero mark in byte
Definition: maketabF.c:36
PTR FfGetPtr(PTR base, int row)
Get row pointer.
Definition: zzz2.c:180
int FfCleanRowAndRepeat(PTR row, PTR mat, int nor, const int *piv, PTR row2, PTR mat2)
Clean Row and Repeat Operations.
Definition: zcleanrow.c:107
FILE * FfReadHeader(const char *name, int *fld, int *nor, int *noc)
Open File and Read Header.
Definition: ffio.c:169
int FfWriteRows(FILE *f, PTR buf, int n)
Write rows This function writes 1 or more rows to a file.
Definition: ffio.c:95
FEL FfEmbed(FEL a, int subfield)
Embed a subfield.
Definition: kernel-0.c:479
void FfAddMulRowPartial(PTR dest, PTR src, FEL f, int first, int len)
Add a multiple of a part of a row.
Definition: kernel-0.c:944
int FfSeekRow(FILE *f, int pos)
Move to a Row.
Definition: ffio.c:139
FEL mtx_tmultinv[256]
table for field element inversion
Definition: maketabF.c:35
int FfSetNoc(int noc)
Set the row length.
Definition: kernel-0.c:413
int FfChar
Current characteristic.
Definition: zzz2.c:36
void FfCleanRow(PTR row, PTR matrix, int nor, const int *piv)
Clean Row.
Definition: zcleanrow.c:36
FEL mtx_taddinv[256]
table for field element negation
Definition: maketabF.c:34
FILE * FfWriteHeader(const char *name, int fld, int nor, int noc)
Open File and Write Header.
Definition: ffio.c:221
const char * FfToGap(FEL f)
Convert to GAP format.
Definition: zgap.c:27
int FfSetField(int field)
Set the field order.
Definition: kernel-0.c:385
void FfExtractColumn(PTR mat, int nor, int col, PTR result)
!section kernel.ff.row Extract one column of a matrix.
Definition: kernel-0.c:1280
void FfInsert(PTR row, int col, FEL mark)
This function inserts the field element mark at position col into row.
Definition: kernel-0.c:1328
int FfNoc
Current number of columns for row ops.
Definition: zzz2.c:63
FEL FfGen
Generator.
Definition: zzz2.c:53
void FfMapRow(PTR row, PTR matrix, int nor, PTR result)
Multiply a vector by a matrix.
Definition: kernel-0.c:1093
void GrMapRow(PTR v, GreasedMatrix_t *M, PTR w)
Multiply a vector by a greased matrix.
Definition: grmaprow.c:131
GreasedMatrix_t * GrMatAlloc(const Matrix_t *M, int gr_rows)
Create a greased matrix.
Definition: grmatcore.c:115
const GrExtractionTable_t * GrGetExtractionTable(int fl, int grrows)
Calculate extraction table for grease.
Definition: grtable.c:168
int GrMatFree(GreasedMatrix_t *mat)
Free a greased matrix.
Definition: grmatcore.c:84
int GrMatIsValid(const GreasedMatrix_t *mat)
Check a greased matrix.
Definition: grmatcore.c:53
int ImatFree(IntMatrix_t *mat)
Delete an Integer Matrix.
Definition: imatcore.c:124
IntMatrix_t * ImatLoad(const char *fn)
Read an Integer Matrix From a File.
Definition: imatread.c:65
IntMatrix_t * ImatRead(FILE *f)
Read an integer matrix from a file.
Definition: imatread.c:30
int ImatWrite(const IntMatrix_t *mat, FILE *f)
Write an integer matrix to a file.
Definition: imatwrite.c:30
IntMatrix_t * ImatAlloc(int nor, int noc)
Create a New Integer Matrix.
Definition: imatcore.c:77
int ImatSave(const IntMatrix_t *mat, const char *file_name)
Write an Integer Matrix to a File.
Definition: imatwrite.c:62
int ImatIsValid(const IntMatrix_t *m)
Check an Integer Matrix.
Definition: imatcore.c:48
int SetIsValid(const Set_t *s)
Check a set.
Definition: setcore.c:50
int SetContains(const Set_t *set, long elem)
Check if a number is in a set.
Definition: settest.c:31
int SetFree(Set_t *x)
Destroy a set.
Definition: setcore.c:115
int SetInsert(Set_t *set, long elem)
Insert an element into a set.
Definition: setinsert.c:33
Set_t * SetAlloc()
Create a new set.
Definition: setcore.c:81
Set_t * SetDup(const Set_t *s)
Duplicate a set.
Definition: setcore.c:134
int MatOrder(const Matrix_t *mat)
Order of a matrix.
Definition: matorder.c:38
Matrix_t * MatPower(const Matrix_t *mat, long n)
!section obj.mat Power of a matrix.
Definition: matpwr.c:96
void Mat_DeletePivotTable(Matrix_t *mat)
Delete the pivot table of a matrix.
Definition: matcore.c:187
int MatPivotize(Matrix_t *mat)
Reduce to echelon form.
Definition: matpivot.c:72
int MatIsValid(const Matrix_t *m)
Check if the matrix is valid.
Definition: matcore.c:81
Matrix_t * MatCut(const Matrix_t *src, int row1, int col1, int nrows, int ncols)
Cut a rectangle out of a matrix.
Definition: matcut.c:47
long MatNullity__(Matrix_t *mat)
Nullity of a matrix.
Definition: matech.c:169
void MatPrint(const char *name, const Matrix_t *m)
Print a Matrix on stdout.
Definition: matprint.c:35
Matrix_t * MatId(int fl, int nor)
Identity matrix This function creates an identity matrix with nor nows over GF(fl).
Definition: matid.c:34
Matrix_t * MatMul(Matrix_t *dest, const Matrix_t *src)
Multiply matrices This function multiplies dest from the right by src.
Definition: matmul.c:41
PTR MatGetPtr(const Matrix_t *mat, int row)
Pointer to a row of a matrix.
Definition: matcore.c:162
Matrix_t * MatInverse(const Matrix_t *src)
Inverse of a matrix This function calculates the inverse of a matrix.
Definition: matinv.c:98
Matrix_t * MatNullSpace(const Matrix_t *mat)
Null-space of a matrix This function calculates the null-space of a matrix.
Definition: matnull.c:195
int MatCopyRegion(Matrix_t *dest, int destrow, int destcol, const Matrix_t *src, int row1, int col1, int nrows, int ncols)
Copy a rectangular region of a matrix This function copies a rectangular region of src tp dest.
Definition: matcopy.c:48
Matrix_t * MatTransposed(const Matrix_t *src)
Transpose a matrix.
Definition: mattr.c:27
Matrix_t * MatNullSpace__(Matrix_t *mat)
Null-space of a matrix This function calculates the null-space of a matrix and deletes the original m...
Definition: matnull.c:224
Matrix_t * MatInsert(const Matrix_t *mat, const Poly_t *pol)
Insert a matrix into a polynomial Given a square matrix A and a polynomial p over the same field,...
Definition: matins.c:119
Matrix_t * MatInsert_(Matrix_t *mat, const Poly_t *pol)
Insert a matrix into a polynomial Given a square matrix A and a polynomial p over the same field,...
Definition: matins.c:31
int MatEchelonize(Matrix_t *mat)
Reduce to echelon form This function performs a Gaussian elimination on the matrix |mat|.
Definition: matech.c:90
Matrix_t * MatRead(FILE *f)
Read a matrix from a file.
Definition: matread.c:29
int MatFree(Matrix_t *mat)
Delete a matrix.
Definition: matcore.c:205
Matrix_t * MatAlloc(int field, int nor, int noc)
Create a new matrix.
Definition: matcore.c:109
Matrix_t * MatNullSpace_(Matrix_t *mat, int flags)
Null-space of a matrix This function calculates the null-space of a matrix.
Definition: matnull.c:139
int MatSave(const Matrix_t *mat, const char *fn)
Write a matrix to a file.
Definition: matwrite.c:66
Matrix_t * MatDup(const Matrix_t *src)
Duplicate a matrix This function creates a copy of an existing matrix.
Definition: matdup.c:30
Matrix_t * MatMulScalar(Matrix_t *dest, FEL coeff)
Multiply a Matrix by a Constant.
Definition: mmulscal.c:27
int MatWrite(const Matrix_t *mat, FILE *f)
Write a matrix to a file.
Definition: matwrite.c:30
Matrix_t * MatMulStrassen(Matrix_t *dest, const Matrix_t *A, const Matrix_t *B)
Multiply matrices.
Definition: window.c:1010
Matrix_t * MatAdd(Matrix_t *dest, const Matrix_t *src)
Sum of two matrices.
Definition: matadd.c:32
FEL MatTrace(const Matrix_t *mat)
Trace of a Matrix.
Definition: mattrace.c:27
Matrix_t * MatLoad(const char *fn)
Definition: matread.c:73
long MatNullity(const Matrix_t *mat)
Nullity of a matrix.
Definition: matech.c:154
Matrix_t * MatCutRows(const Matrix_t *src, int row1, int nrows)
Copy a range of rows of a matrix.
Definition: matcut.c:130
int MatCompare(const Matrix_t *a, const Matrix_t *b)
Compare two matrices If the matrices are equal, the return value is 0.
Definition: matcmp.c:44
int MatClean(Matrix_t *mat, const Matrix_t *sub)
Clean a matrix.
Definition: matclean.c:35
int MsCleanAndAppend(MatrixSet_t *set, Matrix_t *mat)
Extend a Matrix Set.
Definition: msclean.c:109
int MsFree(MatrixSet_t *set)
Free a Matrix Set.
Definition: mscore.c:159
MatrixSet_t * MsAlloc()
Allocate a Matrix Set.
Definition: mscore.c:134
int MsClean(const MatrixSet_t *set, Matrix_t *mat)
Clean a Matrix with a Matrix Set.
Definition: msclean.c:58
int MsIsValid(const MatrixSet_t *set)
Check a Matrix Set.
Definition: mscore.c:64
void StrassenSetCutoff(size_t size)
Set the cutoff for Winograd-Strassen multiplication.
Definition: window.c:68
int MfIsValid(const MtxFile_t *file)
Check a File Object.
Definition: mfcore.c:42
int MfClose(MtxFile_t *file)
Close a File.
Definition: mfcore.c:170
MtxFile_t * MfCreate(const char *name, int field, int nor, int noc)
Open a File for Writing.
Definition: mfcore.c:135
MtxFile_t * MfOpen(const char *name)
Open a File for Reading.
Definition: mfcore.c:90
long int MtxRandom(void)
Get the next (Pseudo-)Random number.
Definition: random.c:69
long lcm(long a, long b)
Least Common Multiple.
Definition: gcd.c:57
void MtxRandomInit(unsigned seed)
Initialize the random number generator.
Definition: random.c:49
int MtxRandomInt(int max)
Random number.
Definition: random.c:97
long gcd(long a, long b)
Greatest Common Divisor.
Definition: gcd.c:31
MatRep_t * MrTransposed(const MatRep_t *rep)
Transpose a Representation.
Definition: mrtranspose.c:29
int MrFree(MatRep_t *rep)
Delete a Matrix Representation.
Definition: mrcore.c:221
int MrIsValid(const MatRep_t *rep)
Check a Matrix Representation.
Definition: mrcore.c:107
int MrAddGenerator(MatRep_t *rep, Matrix_t *gen, int flags)
Add a Matrix to a Representation.
Definition: mraddgen.c:37
MatRep_t * MrAlloc(int ngen, Matrix_t **gen, int flags)
Create a Matrix Representation.
Definition: mrcore.c:149
MatRep_t * MrLoad(const char *basename, int ngen)
Load a Matrix Representation.
Definition: mrread.c:40
int MrSave(const MatRep_t *rep, const char *basename)
Save a Matrix Representation.
Definition: mrwrite.c:34
void SysFree(void *x)
Free memory block.
Definition: os.c:411
int SysRemoveFile(const char *name)
Remove a file This function deletes a file.
Definition: os.c:287
void SysSetTimeLimit(long nsecs)
Set CPU time limit.
Definition: os.c:175
void * SysRealloc(void *buf, size_t nbytes)
Resize memory block.
Definition: os.c:392
int SysFseek(FILE *f, long pos)
Set file pointer.
Definition: os.c:270
long SysTimeUsed(void)
CPU time.
Definition: os.c:104
int SysGetPid()
Get process id.
Definition: os.c:427
int SysFseekRelative(FILE *file, long distance)
Set file pointer relative to current position.
Definition: os.c:356
void SysInit(void)
OS-specific initialization.
Definition: os.c:88
FILE * SysFopen(const char *name, int mode)
Open a file.
Definition: os.c:218
int SysCreateDirectory(const char *name)
Create a directory.
Definition: os.c:331
int SysRemoveDirectory(const char *name)
Remove a directory.
Definition: os.c:308
void * SysMalloc(size_t nbytes)
Allocate memory.
Definition: os.c:370
Perm_t * PermAlloc(int deg)
Allocate a permutation This function creates a permutation of the specified degree.
Definition: permcore.c:101
int PermFree(Perm_t *p)
Free a permutation.
Definition: permcore.c:143
int PermOrder(const Perm_t *perm)
Order of a permutation.
Definition: permorder.c:32
Perm_t * PermDup(const Perm_t *src)
Duplicate a permutation.
Definition: permdup.c:32
int PermSave(const Perm_t *perm, const char *fn)
Write a Permutation to a File.
Definition: permwrite.c:69
Perm_t * PermInverse(const Perm_t *src)
Inverse of a permutation This function calulates the inverse of a permutation.
Definition: perminv.c:33
int PermCompare(const Perm_t *a, const Perm_t *b)
Compare two permutations.
Definition: permcmp.c:39
void PermPrint(const char *name, const Perm_t *perm)
Print a permutation This function prints a permutation on the standard output using cycle notation.
Definition: permprint.c:44
int PermWrite(const Perm_t *perm, FILE *f)
Write a Permutation to a File.
Definition: permwrite.c:34
Perm_t * PermPower(const Perm_t *p, int n)
Power of a permutation This function calculates the n-th power of a permutation.
Definition: permpwr.c:36
int PermIsValid(const Perm_t *p)
Check a permutation.
Definition: permcore.c:61
Perm_t * PermMul(Perm_t *dest, const Perm_t *src)
Multiply permutations.
Definition: permmul.c:35
Perm_t * PermLoad(const char *fn)
Read a permutation.
Definition: permread.c:105
Perm_t * PermRead(FILE *f)
Read a Permutation from a File.
Definition: permread.c:60
int FpFree(FPoly_t *x)
Free a Factored Polynomial.
Definition: fpcore.c:133
Poly_t * PolLoad(const char *fn)
Read a Polynomial from a File.
Definition: polread.c:115
void Pol_Normalize(Poly_t *p)
Normalize a polynomial.
Definition: polcore.c:161
FPoly_t * FpMulP(FPoly_t *dest, const Poly_t *src, int pwr)
Multiply With an Irreducible Polynomial.
Definition: fpmul.c:36
Poly_t * PolGcd(const Poly_t *a, const Poly_t *b)
Greatest Common Divisor of two Polynomials.
Definition: polgcd.c:55
int FpIsValid(const FPoly_t *p)
Check a Factored Polynomial.
Definition: fpcore.c:41
FPoly_t * FpAlloc()
Allocate a Factored Polynomial.
Definition: fpcore.c:92
Poly_t * PolAlloc(int fl, int n)
Allocate a polynomial This function creates the polynomial p(x)=x^n over the current field.
Definition: polcore.c:102
Poly_t * PolAdd(Poly_t *dest, const Poly_t *src)
Add Polynomials.
Definition: poladd.c:63
int PolGcdEx(const Poly_t *a, const Poly_t *b, Poly_t **result)
Greatest Common Divisor of two Polynomials.
Definition: polgcd.c:138
Poly_t * PolDup(const Poly_t *p)
Duplicate a Polynomial.
Definition: poldup.c:33
void PolPrint(char *name, const Poly_t *p)
Print a Polynomial This function prints a polynomial on the standard output in a human-readable form.
Definition: polprint.c:38
Poly_t * PolDivMod(Poly_t *a, const Poly_t *b)
Polynomial Division.
Definition: poldiv.c:45
int PolIsValid(const Poly_t *p)
Check a polynomial.
Definition: polcore.c:58
int PolWrite(const Poly_t *p, FILE *f)
Write a polynomial to a file.
Definition: polwrite.c:58
Poly_t * PolDerive(Poly_t *pol)
Derive a Polynomial.
Definition: polderive.c:43
Poly_t * PolMod(Poly_t *a, const Poly_t *b)
Polynomial division.
Definition: poldiv.c:109
int PolFree(Poly_t *p)
Free a polynomial" This function frees a polynomial data structure and cleans up all internal data.
Definition: polcore.c:144
FPoly_t * FpMul(FPoly_t *dest, const FPoly_t *src)
Multiply Factored Polynomials.
Definition: fpmul2.c:34
FPoly_t * Factorization(const Poly_t *pol)
Factor a polynomial.
Definition: berlekmp.c:282
Poly_t * PolMul(Poly_t *dest, const Poly_t *src)
Multiply Polynomials.
Definition: polmul.c:35
int PolSave(const Poly_t *pol, const char *fn)
Write a Polynomial to a File.
Definition: polwrite.c:102
Poly_t * PolRead(FILE *f)
Read a Polynomial from a File.
Definition: polread.c:60
int FpPrint(const char *name, const FPoly_t *p)
Print a factored polynomial.
Definition: fpprint.c:35
int PolCompare(const Poly_t *a, const Poly_t *b)
Compare Two Plynomials.
Definition: polcmp.c:39
int SpinUpInfoInit(SpinUpInfo_t *info)
Initialize spin-up parameters.
Definition: spinup.c:629
Matrix_t * SpinUpWithScript(const Matrix_t *seed, const MatRep_t *rep, const IntMatrix_t *script)
Spin-up with script.
Definition: spinup2.c:61
Matrix_t * SpinUp(const Matrix_t *seed, const MatRep_t *rep, int flags, IntMatrix_t **script, SpinUpInfo_t *info)
Spin up.
Definition: spinup.c:576
Matrix_t * SAction(const Matrix_t *sub, const Matrix_t *gen)
Action on a subspace.
Definition: saction.c:44
Matrix_t * QProjection(const Matrix_t *subspace, const Matrix_t *vectors)
Projection on Quotient.
Definition: quotient.c:57
Matrix_t * SpinUpWithPermutations(const Matrix_t *seed, int ngen, const Perm_t **gen, int flags, IntMatrix_t **script, SpinUpInfo_t *info)
Spin Up With Permutations.
Definition: spinup.c:600
int Split(Matrix_t *subspace, const MatRep_t *rep, MatRep_t **sub, MatRep_t **quot)
Split a Representation.
Definition: split.c:102
Matrix_t * QAction(const Matrix_t *sub, const Matrix_t *gen)
Action on Quotient.
Definition: quotient.c:135
int StfPutVector(StfData *f, int size, const int *value)
Write a Vector.
Definition: stfwrite.c:107
int StfWriteInt(StfData *f, const char *name, int value)
Write an Integer.
Definition: stfwrite.c:276
int StfWriteValue(StfData *f, const char *name, const char *value)
Write a String.
Definition: stfwrite.c:206
int StfEndEntry(StfData *f)
End Entry.
Definition: stfwrite.c:180
int StfMatch(StfData *f, const char *pattern)
Skip text.
Definition: stfread.c:291
int StfGetString(StfData *f, char *buf, size_t bufsize)
Read a string.
Definition: stfread.c:208
int StfClose(StfData *f)
Close a Structured Text File.
Definition: stfcore.c:71
int StfGetVector(StfData *f, int *bufsize, int *buf)
Read a vector.
Definition: stfread.c:361
int StfPut(StfData *f, const char *text)
Write a Raw Value.
Definition: stfwrite.c:32
const char * StfGetName(StfData *f)
Get Entry Name.
Definition: stfread.c:93
int StfGetInt(StfData *f, int *buf)
Read an Integer.
Definition: stfread.c:155
int StfPutInt(StfData *f, int value)
Write an Integer.
Definition: stfwrite.c:59
int StfWriteVector(StfData *f, const char *name, int size, const int *value)
Write a Vector.
Definition: stfwrite.c:314
int StfBeginEntry(StfData *f, const char *name)
Start a New Entry.
Definition: stfwrite.c:158
int StfPutString(StfData *f, const char *text)
Write a String.
Definition: stfwrite.c:71
StfData * StfOpen(const char *name, int mode)
Open a Structured Text File.
Definition: stfcore.c:133
int StfReadLine(StfData *f)
Read Next Line.
Definition: stfread.c:35
int StfWriteString(StfData *f, const char *name, const char *value)
Write a String.
Definition: stfwrite.c:239
String StrAlloc(size_t initial_capacity)
Create a string.
Definition: string.c:119
void StrFree(String *s)
Free a string.
Definition: string.c:133
void StrAppend(String *s, const char *text)
Appends text to the end of a string.
Definition: string.c:166
void StrAppendF(String *s, const char *fmt,...)
snprintf() replacement.
Definition: string.c:206
void StrPrintF(String *s, const char *fmt,...)
snprintf() replacement.
Definition: string.c:248
int MatrixToVector(const Matrix_t *mat, Matrix_t *vecs, int n)
Convert matrix to vector.
Definition: mat2vec.c:40
Matrix_t * TensorMap(Matrix_t *vec, const Matrix_t *a, const Matrix_t *b)
Map Under Tensor Product.
Definition: temap.c:40
Matrix_t * VectorToMatrix(Matrix_t *vecs, int n, int noc)
Convert vector to matrix.
Definition: vec2mat.c:41
int TK_ReadInfo(TkData_t *tki, const char *name)
Read a .tki file.
Definition: tkinfo.c:126
int TK_WriteInfo(TkData_t *tki, const char *name)
Write a .tki file.
Definition: tkinfo.c:163
Matrix_t * MatTensor(const Matrix_t *m1, const Matrix_t *m2)
Tensor Product.
Definition: mtensor.c:36
Matrix_t * WgMakeWord(WgData_t *b, long n)
Calculates a Word.
Definition: wgen.c:366
int * WgDescribeWord(WgData_t *b, long n)
Creates a symbolic description of a word.
Definition: wgen.c:334
void WgMakeFingerPrint(WgData_t *b, int fp[6])
Calculate finger print.
Definition: wgen.c:506
int WgFree(WgData_t *b)
Terminate the word generator.
Definition: wgen.c:467
WgData_t * WgAlloc(const MatRep_t *rep)
Initialize the word generator.
Definition: wgen.c:426
const char * WgSymbolicName(WgData_t *b, long n)
Symbolic name of a word.
Definition: wgen.c:257
A bit string.
Definition: meataxe.h:735
unsigned long Magic
Used internally.
Definition: meataxe.h:736
int Size
Number of bits.
Definition: meataxe.h:737
int BufSize
Used internally for memory management.
Definition: meataxe.h:738
Constituent data structure.
Definition: meataxe.h:1018
long peakword
Peak word.
Definition: meataxe.h:1022
long idword
Identifying word.
Definition: meataxe.h:1020
long ndotl
Number of dotted lines.
Definition: meataxe.h:1025
long spl
Degree of splitting field.
Definition: meataxe.h:1026
long nmount
Number of mountains.
Definition: meataxe.h:1024
A Factored Polynomial.
Definition: meataxe.h:717
Poly_t ** Factor
List of irreducible factors.
Definition: meataxe.h:721
int NFactors
Number of different irreducible factors.
Definition: meataxe.h:719
int * Mult
Multiplicity of each factor.
Definition: meataxe.h:722
int BufSize
Used internally for memory management.
Definition: meataxe.h:720
unsigned long Magic
Used internally.
Definition: meataxe.h:718
A greased matrix.
Definition: meataxe.h:611
int Field
Field size.
Definition: meataxe.h:613
unsigned long Magic
Used internally.
Definition: meataxe.h:612
int Nor
Number of rows.
Definition: meataxe.h:614
int GrRows
Grease level (# of rows, 0=no grease)
Definition: meataxe.h:616
int NumVecs
Total number of vectors in PrecalcData.
Definition: meataxe.h:618
int Noc
Number of columns.
Definition: meataxe.h:615
const GrExtractionTable_t * ExtrTab
Extraction table.
Definition: meataxe.h:620
int GrBlockSize
Vectors per block (= Field^GrRows)
Definition: meataxe.h:617
int MPB
Number of marks per byte.
Definition: meataxe.h:621
PTR PrecalcData
Precalculated data.
Definition: meataxe.h:619
An Integer Matrix.
Definition: meataxe.h:799
long * Data
Marks (row by row).
Definition: meataxe.h:803
int Nor
Number of rows.
Definition: meataxe.h:801
int Noc
Number of colums.
Definition: meataxe.h:802
Module Structure Information.
Definition: meataxe.h:1031
int Field
Field order.
Definition: meataxe.h:1033
int * Socle
Mult.
Definition: meataxe.h:1038
int * Head
Mult.
Definition: meataxe.h:1040
int NHeads
Number of radical layers.
Definition: meataxe.h:1039
int NSocles
Loewy length.
Definition: meataxe.h:1037
int NCf
Number of irred.
Definition: meataxe.h:1035
int NGen
Number of generators.
Definition: meataxe.h:1034
Graphical lattice representation.
Definition: meataxe.h:1136
Node in a graphical lattice representation.
Definition: meataxe.h:1124
A matrix representation.
Definition: meataxe.h:874
An element of a matrix set.
Definition: meataxe.h:844
A set of matrices.
Definition: meataxe.h:855
A matrix over a finite field.
Definition: meataxe.h:533
int * PivotTable
Pivot table (if matrix is in echelon form) .
Definition: meataxe.h:540
PTR Data
Data, organized as array of rows.
Definition: meataxe.h:538
unsigned long Magic
Used internally.
Definition: meataxe.h:534
int Nor
Number of rows.
Definition: meataxe.h:536
int Noc
Number of columns.
Definition: meataxe.h:537
size_t RowSize
Size (in bytes) of one row.
Definition: meataxe.h:539
int Field
Field order.
Definition: meataxe.h:535
Application information structure.
Definition: meataxe.h:285
const char * Help
Help text.
Definition: meataxe.h:288
const char * Description
One-line description of the program.
Definition: meataxe.h:287
const char * Name
Program name.
Definition: meataxe.h:286
Application data.
Definition: meataxe.h:299
int OrigArgC
Original argc from main().
Definition: meataxe.h:301
const char ** ArgV
Arguments.
Definition: meataxe.h:304
MtxApplicationInfo_t const * AppInfo
Program name and description.
Definition: meataxe.h:300
const char * OptArg
Used internally.
Definition: meataxe.h:307
int ArgC
Number of arguments.
Definition: meataxe.h:303
const char ** OrigArgV
Original argv from main().
Definition: meataxe.h:302
int OptInd
Used internally.
Definition: meataxe.h:308
int OptEnd
Used internally.
Definition: meataxe.h:305
Run-time errors.
Definition: meataxe.h:377
int LineNo
Line in which the error is raised.
Definition: meataxe.h:379
const MtxFileInfo_t * FileInfo
File that is raising the error.
Definition: meataxe.h:378
const char * Text
Error message.
Definition: meataxe.h:380
File information.
Definition: meataxe.h:364
const char * Name
Path to the file.
Definition: meataxe.h:365
const char * BaseName
Base name of the file.
Definition: meataxe.h:366
MeatAxe data file object.
Definition: meataxe.h:511
int Nor
Number of rows.
Definition: meataxe.h:514
char * Name
File name.
Definition: meataxe.h:517
int Field
Field order or type id.
Definition: meataxe.h:513
int Noc
Number of columns.
Definition: meataxe.h:515
unsigned long Magic
Used internally.
Definition: meataxe.h:512
FILE * File
File to read frmo/write to.
Definition: meataxe.h:516
A Permutation.
Definition: meataxe.h:645
int Degree
Degree of the permutation.
Definition: meataxe.h:647
unsigned long Magic
Used internally.
Definition: meataxe.h:646
long * Data
Images of 0,1,2,...
Definition: meataxe.h:648
A Polynomial.
Definition: meataxe.h:680
int Field
Field order.
Definition: meataxe.h:682
int BufSize
Used internally for memory management.
Definition: meataxe.h:686
int Degree
Degree of the polynomial.
Definition: meataxe.h:683
FEL * Data
Coefficients.
Definition: meataxe.h:684
unsigned long Magic
Used internally.
Definition: meataxe.h:681
A Set of Integers.
Definition: meataxe.h:777
long * Data
The elements in ascending order.
Definition: meataxe.h:781
int Size
Number of elements.
Definition: meataxe.h:779
int BufSize
Used internally for memory management.
Definition: meataxe.h:780
unsigned long Magic
Used internally.
Definition: meataxe.h:778
Spin-up Parameters.
Definition: meataxe.h:936
Structured text file.
Definition: meataxe.h:469
int OutPos
Number of chars in current line (writing only)
Definition: meataxe.h:474
char * GetPtr
Current input position.
Definition: meataxe.h:472
FILE * File
The stream we're using.
Definition: meataxe.h:470
char * LineBuf
Buffers one 'line'.
Definition: meataxe.h:471
int LineBufSize
Current buffer size.
Definition: meataxe.h:473
int LineNo
Current line number (reading and writing)
Definition: meataxe.h:475
A dynamic string.
Definition: meataxe.h:232
char * S
pointer to NUL terminated string
Definition: meataxe.h:233
Tensor condensation state.
Definition: meataxe.h:1074
int NCf
Number of relevant constituents.
Definition: meataxe.h:1078
int Dim
Dimension of condensed module.
Definition: meataxe.h:1077
Word Generator Data.
Definition: meataxe.h:898
int * Description
Symbolic description of a word.
Definition: meataxe.h:902
const MatRep_t * Rep
The representation.
Definition: meataxe.h:899