equimodular.h File Reference

Recognition of (strongly) equimodular matrices. More...

#include <cmr/env.h>
#include <cmr/matrix.h>
#include <cmr/tu.h>

Go to the source code of this file.

Classes
struct	CMR_EQUIMODULAR_PARAMS
struct	CMR_EQUIMODULAR_STATS
	Statistics for recognition algorithm for equimodular matrices. More...

Functions
CMR_EXPORT CMR_ERROR	CMRequimodularParamsInit (CMR_EQUIMODULAR_PARAMS *params)
	Initializes the default parameters for recognition of equimodular matrices. More...
CMR_EXPORT CMR_ERROR	CMRequimodularStatsInit (CMR_EQUIMODULAR_STATS *stats)
	Initializes all statistics for recognition algorithm for equimodular matrices. More...
CMR_EXPORT CMR_ERROR	CMRequimodularStatsPrint (FILE *stream, CMR_EQUIMODULAR_STATS *stats, const char *prefix)
	Prints statistics for recognition algorithm for equimodular matrices. More...
CMR_EXPORT CMR_ERROR	CMRequimodularTest (CMR *cmr, CMR_INTMAT *matrix, bool *pisEquimodular, int64_t *pgcdDet, CMR_EQUIMODULAR_PARAMS *params, CMR_EQUIMODULAR_STATS *stats, double timeLimit)
	Tests a matrix \( M \) for being equimodular (for determinant gcd \( k \)). More...
CMR_EXPORT CMR_ERROR	CMRequimodularTestStrong (CMR *cmr, CMR_INTMAT *matrix, bool *pisStronglyEquimodular, int64_t *pgcdDet, CMR_EQUIMODULAR_PARAMS *params, CMR_EQUIMODULAR_STATS *stats, double timeLimit)
	Tests a matrix \( M \) for being strongly equimodular. More...
CMR_EXPORT CMR_ERROR	CMRunimodularTest (CMR *cmr, CMR_INTMAT *matrix, bool *pisUnimodular, CMR_EQUIMODULAR_PARAMS *params, CMR_EQUIMODULAR_STATS *stats, double timeLimit)
	Tests a matrix \( M \) for being unimodular. More...
CMR_EXPORT CMR_ERROR	CMRunimodularTestStrong (CMR *cmr, CMR_INTMAT *matrix, bool *pisStronglyUnimodular, CMR_EQUIMODULAR_PARAMS *params, CMR_EQUIMODULAR_STATS *stats, double timeLimit)
	Tests a matrix \( M \) for being strongly unimodular. More...

Detailed Description

Recognition of (strongly) equimodular matrices.

Author

Matthias Walter and Klaus Truemper

Function Documentation

CMRequimodularParamsInit()

CMR_EXPORT CMR_ERROR CMRequimodularParamsInit

(

CMR_EQUIMODULAR_PARAMS *

params

)

Initializes the default parameters for recognition of equimodular matrices.

These are selected for minimum running time.

Parameters

params

Pointer to parameters.

CMRequimodularStatsInit()

CMR_EXPORT CMR_ERROR CMRequimodularStatsInit

(

CMR_EQUIMODULAR_STATS *

stats

)

Initializes all statistics for recognition algorithm for equimodular matrices.

Parameters

stats

Pointer to statistics.

CMRequimodularStatsPrint()

CMR_EXPORT CMR_ERROR CMRequimodularStatsPrint	(	FILE *	stream,
		CMR_EQUIMODULAR_STATS *	stats,
		const char *	prefix
	)

Prints statistics for recognition algorithm for equimodular matrices.

Parameters

stream	File stream to print to.
stats	Pointer to statistics.
prefix	Prefix string to prepend to each printed line (may be NULL).

CMRequimodularTest()

CMR_EXPORT CMR_ERROR CMRequimodularTest	(	CMR *	cmr,
		CMR_INTMAT *	matrix,
		bool *	pisEquimodular,
		int64_t *	pgcdDet,
		CMR_EQUIMODULAR_PARAMS *	params,
		CMR_EQUIMODULAR_STATS *	stats,
		double	timeLimit
	)

Tests a matrix \( M \) for being equimodular (for determinant gcd \( k \)).

Tests if matrix \( M \) is equimodular for determinant gcd \( k \) and sets *pisEquimodular accordingly. If pgcdDet is not NULL, the behavior is as follows. If *pgcdDet is positive, then it tests only for that particular value of \( k \). Otherwise, *pgcdDet is set to \( k \) if \( M \) is equimodular for determinant gcd \( k \), and to \( 0 \) if \( M \) is not equimodular.

Parameters

cmr	CMR environment
matrix	Matrix \( M \).
pisEquimodular	Pointer for storing whether \( M \) is equimodular.
pgcdDet	Pointer for supplying/storing the determinant gcd (may be NULL).
params	Parameters for the computation (may be NULL for defaults).
stats	Statistics for the computation (may be NULL).
timeLimit	Time limit to impose.

CMRequimodularTestStrong()

CMR_EXPORT CMR_ERROR CMRequimodularTestStrong	(	CMR *	cmr,
		CMR_INTMAT *	matrix,
		bool *	pisStronglyEquimodular,
		int64_t *	pgcdDet,
		CMR_EQUIMODULAR_PARAMS *	params,
		CMR_EQUIMODULAR_STATS *	stats,
		double	timeLimit
	)

Tests a matrix \( M \) for being strongly equimodular.

Tests if matrix \( M \) is strongly equimodular and sets *pisStronglyEquimodular accordingly. If pgcdDet is not NULL, the behavior is as follows. If *pgcdDet is positive, then it tests only for that particular value of \( k \). Otherwise, *pgcdDet is set to \( k \) if \( M \) is strongly equimodular for determinant gcd \( k \), and to \( 0 \) if \( M \) is not strongly equimodular.

Parameters

cmr	CMR environment
matrix	Matrix \( M \).
pisStronglyEquimodular	Pointer for storing whether \( M \) is strongly equimodular.
pgcdDet	Pointer for supplying/storing the determinant gcd (may be NULL).
params	Parameters for the computation (may be NULL for defaults).
stats	Statistics for the computation (may be NULL).
timeLimit	Time limit to impose.

CMRunimodularTest()

CMR_EXPORT CMR_ERROR CMRunimodularTest	(	CMR *	cmr,
		CMR_INTMAT *	matrix,
		bool *	pisUnimodular,
		CMR_EQUIMODULAR_PARAMS *	params,
		CMR_EQUIMODULAR_STATS *	stats,
		double	timeLimit
	)

Tests a matrix \( M \) for being unimodular.

Tests if matrix \( M \) is unimodular and sets *pisUnimodular accordingly.

Parameters

cmr	CMR environment
matrix	Matrix \( M \).
pisUnimodular	Pointer for storing whether \( M \) is unimodular.
params	Parameters for the computation (may be NULL for defaults).
stats	Statistics for the computation (may be NULL).
timeLimit	Time limit to impose.

CMRunimodularTestStrong()

CMR_EXPORT CMR_ERROR CMRunimodularTestStrong	(	CMR *	cmr,
		CMR_INTMAT *	matrix,
		bool *	pisStronglyUnimodular,
		CMR_EQUIMODULAR_PARAMS *	params,
		CMR_EQUIMODULAR_STATS *	stats,
		double	timeLimit
	)

Tests a matrix \( M \) for being strongly unimodular.

Tests if matrix \( M \) is strongly unimodular and sets *pisStronglyUnimodular accordingly.

Parameters

cmr	CMR environment
matrix	Matrix \( M \).
pisStronglyUnimodular	Pointer for storing whether \( M \) is strongly unimodular.
params	Parameters for the computation (may be NULL for defaults).
stats	Statistics for the computation (may be NULL).
timeLimit	Time limit to impose.