polyhedron.c File Reference

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <assert.h>
#include <polylib/polylib.h>

Classes
struct	SatMatrix
Defines
#define	WSIZE (8*sizeof(int))
#define	bexchange(a, b, l)
#define	exchange(a, b, t) { (t)=(a); (a)=(b); (b)=(t); }
#define	SMVector_Copy(p1, p2, length) memcpy((char )(p2), (char )(p1), (int)((length)*sizeof(int)))
#define	SMVector_Init(p1, length) memset((char )(p1), 0, (int)((length)sizeof(int)))
Functions
void	errormsg1 (const char f, const char msgname, const char *msg)
static SatMatrix *	SMAlloc (int rows, int cols)
static void	SMFree (SatMatrix **matrix)
static void	SMPrint (SatMatrix *matrix)
static void	SatVector_OR (int p1, int p2, int *p3, unsigned length)
static void	Combine (Value p1, Value p2, Value *p3, int pos, unsigned length)
static SatMatrix *	TransformSat (Matrix Mat, Matrix Ray, SatMatrix *Sat)
static void	RaySort (Matrix Ray, SatMatrix Sat, int NbBid, int NbRay, int equal_bound, int sup_bound, unsigned RowSize1, unsigned RowSize2, unsigned bx, unsigned jx)
static void	SatMatrix_Extend (SatMatrix Sat, Matrix Mat, unsigned rows)
static int	Chernikova (Matrix Mat, Matrix Ray, SatMatrix *Sat, unsigned NbBid, unsigned NbMaxRays, unsigned FirstConstraint, unsigned dual)
static int	Gauss4 (Value **p, int NbEq, int NbRows, int Dimension)
int	Gauss (Matrix *Mat, int NbEq, int Dimension)
static Polyhedron *	Remove_Redundants (Matrix Mat, Matrix Ray, SatMatrix Sat, unsigned Filter)
Polyhedron *	Polyhedron_Alloc (unsigned Dimension, unsigned NbConstraints, unsigned NbRays)
void	Polyhedron_Free (Polyhedron *Pol)
void	Domain_Free (Polyhedron *Pol)
void	Polyhedron_Print (FILE Dst, const char Format, const Polyhedron *Pol)
void	PolyPrint (Polyhedron *Pol)
Polyhedron *	Empty_Polyhedron (unsigned Dimension)
Polyhedron *	Universe_Polyhedron (unsigned Dimension)
static void	SortConstraints (Matrix *Constraints, unsigned NbEq)
static int	ImplicitEqualities (Matrix *Constraints, unsigned NbEq)
Polyhedron *	Constraints2Polyhedron (Matrix *Constraints, unsigned NbMaxRays)
	Given a matrix of constraints ('Constraints'), construct and return a polyhedron.
Matrix *	Polyhedron2Constraints (Polyhedron *Pol)
Polyhedron *	Rays2Polyhedron (Matrix *Ray, unsigned NbMaxConstrs)
	Given a matrix of rays 'Ray', create and return a polyhedron.
void	Polyhedron_Compute_Dual (Polyhedron *P)
static SatMatrix *	BuildSat (Matrix Mat, Matrix Ray, unsigned NbConstraints, unsigned NbMaxRays)
Polyhedron *	AddConstraints (Value Con, unsigned NbConstraints, Polyhedron Pol, unsigned NbMaxRays)
int	PolyhedronIncludes (Polyhedron Pol1, Polyhedron Pol2)
Polyhedron *	AddPolyToDomain (Polyhedron Pol, Polyhedron PolDomain)
Polyhedron *	SubConstraint (Value Con, Polyhedron Pol, unsigned NbMaxRays, int Pass)
Polyhedron *	DomainIntersection (Polyhedron Pol1, Polyhedron Pol2, unsigned NbMaxRays)
Matrix *	Polyhedron2Rays (Polyhedron *Pol)
Polyhedron *	AddRays (Value AddedRays, unsigned NbAddedRays, Polyhedron Pol, unsigned NbMaxConstrs)
Polyhedron *	DomainAddRays (Polyhedron Pol, Matrix Ray, unsigned NbMaxConstrs)
Polyhedron *	Polyhedron_Copy (Polyhedron *Pol)
Polyhedron *	Domain_Copy (Polyhedron *Pol)
static void	addToFilter (int k, unsigned Filter, SatMatrix Sat, Value tmpR, Value tmpC, int NbRays, int NbConstraints)
static void	FindSimple (Polyhedron P1, Polyhedron P2, unsigned *Filter, unsigned NbMaxRays)
static int	SimplifyConstraints (Polyhedron Pol1, Polyhedron Pol2, unsigned *Filter, unsigned NbMaxRays)
static void	SimplifyEqualities (Polyhedron Pol1, Polyhedron Pol2, unsigned *Filter)
Polyhedron *	DomainSimplify (Polyhedron Pol1, Polyhedron Pol2, unsigned NbMaxRays)
Polyhedron *	Stras_DomainSimplify (Polyhedron Pol1, Polyhedron Pol2, unsigned NbMaxRays)
Polyhedron *	DomainUnion (Polyhedron Pol1, Polyhedron Pol2, unsigned NbMaxRays)
Polyhedron *	DomainConvex (Polyhedron *Pol, unsigned NbMaxConstrs)
Polyhedron *	DomainDifference (Polyhedron Pol1, Polyhedron Pol2, unsigned NbMaxRays)
Polyhedron *	align_context (Polyhedron *Pol, int align_dimension, int NbMaxRays)
Polyhedron *	Polyhedron_Scan (Polyhedron D, Polyhedron C, unsigned NbMaxRays)
int	lower_upper_bounds (int pos, Polyhedron P, Value context, Value LBp, Value UBp)
static void	Rays_Mult (Value *A, Matrix B, Value **C, unsigned NbRays)
static void	Rays_Mult_Transpose (Value *A, Matrix B, Value **C, unsigned NbRays)
Polyhedron *	Polyhedron_Preimage (Polyhedron Pol, Matrix Func, unsigned NbMaxRays)
Polyhedron *	DomainPreimage (Polyhedron Pol, Matrix Func, unsigned NbMaxRays)
Polyhedron *	Polyhedron_Image (Polyhedron Pol, Matrix Func, unsigned NbMaxConstrs)
Polyhedron *	DomainImage (Polyhedron Pol, Matrix Func, unsigned NbMaxConstrs)
Interval *	DomainCost (Polyhedron Pol, Value Cost)
Polyhedron *	DomainAddConstraints (Polyhedron Pol, Matrix Mat, unsigned NbMaxRays)
Polyhedron *	Disjoint_Domain (Polyhedron *P, int flag, unsigned NbMaxRays)
void	Polyhedron_PrintConstraints (FILE Dst, const char Format, Polyhedron *Pol)
void	Domain_PrintConstraints (FILE Dst, const char Format, Polyhedron *Pol)
static Polyhedron *	p_simplify_constraints (Polyhedron P, Vector row, Value *g, unsigned MaxRays)
Polyhedron *	DomainConstraintSimplify (Polyhedron *P, unsigned MaxRays)
Variables
int	Pol_status

Define Documentation

#define bexchange	(	a,
		b,
		l	)

Value:

{\
  char *t = (char *)malloc(l*sizeof(char));\
  memcpy((t), (char *)(a), (int)(l));\
  memcpy((char *)(a), (char *)(b), (int)(l));\
  memcpy((char *)(b), (t), (int)(l));\
  free(t); \
}

Definition at line 71 of file polyhedron.c.

Referenced by RaySort(), and Remove_Redundants().

#define exchange	(	a,
		b,
		t	)	{ (t)=(a); (a)=(b); (b)=(t); }

Definition at line 80 of file polyhedron.c.

Referenced by Remove_Redundants().

#define SMVector_Copy	(	p1,
		p2,
		length	)	memcpy((char )(p2), (char )(p1), (int)((length)*sizeof(int)))

Definition at line 199 of file polyhedron.c.

Referenced by Chernikova().

#define SMVector_Init	(	p1,
		length		)	memset((char )(p1), 0, (int)((length)sizeof(int)))

Definition at line 205 of file polyhedron.c.

Referenced by BuildSat(), Constraints2Polyhedron(), DomainSimplify(), FindSimple(), Rays2Polyhedron(), Stras_DomainSimplify(), and TransformSat().

#define WSIZE (8*sizeof(int))

Definition at line 69 of file polyhedron.c.

Referenced by addToFilter(), and Chernikova().

Function Documentation

Polyhedron* AddConstraints	(	Value *	Con,
		unsigned	NbConstraints,
		Polyhedron *	Pol,
		unsigned	NbMaxRays
	)

Polyhedron* AddPolyToDomain	(	Polyhedron *	Pol,
		Polyhedron *	PolDomain
	)

Definition at line 2432 of file polyhedron.c.

References emptyQ, polyhedron::next, p, POL_ENSURE_FACETS, POL_ENSURE_VERTICES, Polyhedron_Free(), and PolyhedronIncludes().

Referenced by Disjoint_Domain(), DomainDifference(), DomainImage(), DomainIntersection(), DomainPreimage(), DomainSimplify(), PDomainDifference(), PDomainIntersection(), Polyhedron_Image_Enumerate(), and Stras_DomainSimplify().

Polyhedron* AddRays	(	Value *	AddedRays,
		unsigned	NbAddedRays,
		Polyhedron *	Pol,
		unsigned	NbMaxConstrs
	)

Definition at line 2661 of file polyhedron.c.

References any_exception_error, BuildSat(), CATCH, Chernikova(), polyhedron::Constraint, polyhedron::Dimension, errormsg1(), Matrix_Alloc(), Matrix_Free(), polyhedron::NbConstraints, polyhedron::NbEq, polyhedron::NbRays, matrix::NbRows, matrix::p_Init, POL_ENSURE_FACETS, POL_ENSURE_VERTICES, POL_ISSET, POL_NO_DUAL, Pol_status, Polyhedron_Free(), polyhedron::Ray, Remove_Redundants(), RETHROW, Sat, SMFree(), TransformSat(), TRY, UNCATCH, and Vector_Copy().

Referenced by DomainAddRays(), DomainConvex(), and PolyhedronLTQ().

static void addToFilter	(	int	k,
		unsigned *	Filter,
		SatMatrix *	Sat,
		Value *	tmpR,
		Value *	tmpC,
		int	NbRays,
		int	NbConstraints
	)			`[static]`

Definition at line 2861 of file polyhedron.c.

References MSB, NEXT, SatMatrix::p, value_decrement, value_posz_p, value_set_si, and WSIZE.

Referenced by FindSimple().

Polyhedron* align_context	(	Polyhedron *	Pol,
		int	align_dimension,
		int	NbMaxRays
	)

Definition at line 3665 of file polyhedron.c.

References any_exception_error, CATCH, polyhedron::Constraint, polyhedron::Dimension, Domain_Copy(), Domain_Free(), errormsg1(), F_ISSET, polyhedron::flags, polyhedron::NbBid, polyhedron::NbConstraints, polyhedron::NbEq, polyhedron::NbRays, polyhedron::next, p, POL_INEQUALITIES, POL_POINTS, POL_VALID, Polyhedron_Alloc(), Polyhedron_Free(), polyhedron::Ray, RETHROW, TRY, UNCATCH, value_assign, value_set_si, and Vector_Copy().

Referenced by Find_m_faces(), main(), Polyhedron_Scan(), test_Constraints_Remove_parm_eqs(), and test_Polyhedron_Remove_parm_eqs().

static SatMatrix* BuildSat	(	Matrix *	Mat,
		Matrix *	Ray,
		unsigned	NbConstraints,
		unsigned	NbMaxRays
	)			`[static]`

Definition at line 2237 of file polyhedron.c.

References any_exception_error, CATCH, MSB, matrix::NbColumns, SatMatrix::NbRows, matrix::NbRows, NEXT, SatMatrix::p, matrix::p, SatMatrix::p_init, RETHROW, Sat, SMAlloc(), SMFree(), SMVector_Init, TRY, UNCATCH, value_addmul, value_notzero_p, and value_set_si.

Referenced by AddConstraints(), AddRays(), SimplifyConstraints(), and SubConstraint().

static int Chernikova	(	Matrix *	Mat,
		Matrix *	Ray,
		SatMatrix *	Sat,
		unsigned	NbBid,
		unsigned	NbMaxRays,
		unsigned	FirstConstraint,
		unsigned	dual
	)			`[static]`

Definition at line 386 of file polyhedron.c.

References any_exception_error, CATCH, Combine(), errormsg1(), m, Matrix_Extend(), Matrix_Print(), MSB, SatMatrix::NbColumns, matrix::NbColumns, SatMatrix::NbRows, matrix::NbRows, NEXT, SatMatrix::p, matrix::p, P_VALUE_FMT, RaySort(), RETHROW, SatMatrix_Extend(), SatVector_OR(), SMPrint(), SMVector_Copy, TRY, UNCATCH, value_addmul, value_multiply, value_neg_p, value_notzero_p, value_oppose, value_print, value_zero_p, Vector_Copy(), Vector_Exchange(), and WSIZE.

Referenced by AddConstraints(), AddRays(), Constraints2Polyhedron(), Rays2Polyhedron(), SimplifyConstraints(), and SubConstraint().

static void Combine	(	Value *	p1,
		Value *	p2,
		Value *	p3,
		int	pos,
		unsigned	length
	)			`[static]`

Definition at line 218 of file polyhedron.c.

References value_absolute, value_assign, value_clear, value_divexact, value_gcd, value_init, value_oppose, Vector_Combine(), and Vector_Normalize().

Referenced by Chernikova(), and Gauss4().

Polyhedron* Constraints2Polyhedron	(	Matrix *	Constraints,
		unsigned	NbMaxRays
	)

Given a matrix of constraints ('Constraints'), construct and return a polyhedron.

Parameters:

	Constraints	Constraints (may be modified!)
	NbMaxRays	Estimated number of rays in the ray matrix of the polyhedron.

Returns:: newly allocated Polyhedron

Definition at line 1906 of file polyhedron.c.

References any_exception_error, CATCH, Chernikova(), polyhedron::Constraint, ConstraintSimplify(), Empty_Polyhedron(), errormsg1(), ExchangeRows(), F_SET, First_Non_Zero(), Gauss(), ImplicitEqualities(), Matrix_Alloc(), Matrix_Free(), Matrix_Print(), matrix::NbColumns, polyhedron::NbEq, SatMatrix::NbRows, matrix::NbRows, matrix::p, SatMatrix::p_init, matrix::p_Init, POL_INEQUALITIES, POL_INTEGER, POL_ISSET, POL_NO_DUAL, POL_VALID, Polyhedron_Alloc(), Polyhedron_Free(), Polyhedron_Print(), polyhedron::Ray, Remove_Redundants(), RETHROW, Sat, SMAlloc(), SMFree(), SMPrint(), SMVector_Init, SortConstraints(), TRY, UNCATCH, Universe_Polyhedron(), value_clear, value_init, value_notzero_p, value_set_si, value_zero_p, Vector_Copy(), and Vector_Set().

Referenced by AddConstraints(), dehomogenize_polyhedron(), DomainSimplify(), Ehrhart_Quick_Apx(), Elim_Columns(), eliminable_vars(), Enumeration_zero(), Find_m_faces(), homogenize(), LexSmaller(), main(), Param_Vertices_Print(), Polyhedron_Compute_Dual(), Polyhedron_Preimage(), Polyhedron_Preprocess(), Polyhedron_Preprocess2(), Polyhedron_Remove_parm_eqs(), Recession_Cone(), Stras_DomainSimplify(), test_Constraints_fullDimensionize(), test_Constraints_Remove_parm_eqs(), test_Polyhedron_Remove_parm_eqs(), and Union_Read().

Polyhedron* Disjoint_Domain	(	Polyhedron *	P,
		int	flag,
		unsigned	NbMaxRays
	)

Definition at line 4404 of file polyhedron.c.

References AddConstraints(), AddPolyToDomain(), polyhedron::Constraint, Domain_Free(), emptyQ, errormsg1(), polyhedron::NbConstraints, polyhedron::next, Polyhedron_Copy(), Polyhedron_Free(), SubConstraint(), and value_zero_p.

Referenced by Domain_Enumerate(), and main().

Polyhedron* Domain_Copy ( Polyhedron * Pol )

Definition at line 2823 of file polyhedron.c.

References Domain_Copy(), polyhedron::next, and Polyhedron_Copy().

Referenced by AddZPolytoZDomain(), align_context(), Domain_Copy(), DomainAddRays(), DomainDifference(), ZDomainSimplify(), ZPolyhedron_Alloc(), and ZPolyhedronDifference().

void Domain_Free ( Polyhedron * Pol )

void Domain_PrintConstraints	(	FILE *	Dst,
		const char *	Format,
		Polyhedron *	Pol
	)

Definition at line 4638 of file polyhedron.c.

References polyhedron::next, and Polyhedron_PrintConstraints().

Polyhedron* DomainAddConstraints	(	Polyhedron *	Pol,
		Matrix *	Mat,
		unsigned	NbMaxRays
	)

Definition at line 4351 of file polyhedron.c.

References AddConstraints(), polyhedron::Dimension, errormsg1(), matrix::NbColumns, matrix::NbRows, polyhedron::next, matrix::p_Init, Polyhedron_Free(), and PolyhedronIncludes().

Polyhedron* DomainAddRays	(	Polyhedron *	Pol,
		Matrix *	Ray,
		unsigned	NbMaxConstrs
	)

Definition at line 2750 of file polyhedron.c.

References AddRays(), polyhedron::Dimension, Domain_Copy(), errormsg1(), matrix::NbColumns, matrix::NbRows, polyhedron::next, matrix::p, Polyhedron_Free(), and PolyhedronIncludes().

Referenced by Find_m_faces(), and Polyhedron_Scan().

Polyhedron* DomainConstraintSimplify	(	Polyhedron *	P,
		unsigned	MaxRays
	)

Definition at line 4685 of file polyhedron.c.

References polyhedron::Dimension, emptyQ, polyhedron::next, Vector::p, p_simplify_constraints(), Polyhedron_Free(), value_clear, value_init, value_set_si, Vector_Alloc(), and Vector_Free().

Polyhedron* DomainConvex	(	Polyhedron *	Pol,
		unsigned	NbMaxConstrs
	)

Definition at line 3574 of file polyhedron.c.

References AddRays(), any_exception_error, CATCH, polyhedron::NbRays, polyhedron::next, p, POL_ENSURE_VERTICES, Polyhedron_Copy(), Polyhedron_Free(), polyhedron::Ray, RETHROW, TRY, and UNCATCH.

Referenced by Compute_PDomains(), and main().

Interval* DomainCost	(	Polyhedron *	Pol,
		Value *	Cost
	)

Definition at line 4223 of file polyhedron.c.

References any_exception_error, CATCH, polyhedron::Dimension, errormsg1(), interval::MaxD, interval::MaxI, interval::MaxN, interval::MinD, interval::MinI, interval::MinN, polyhedron::NbRays, POL_ENSURE_FACETS, POL_ENSURE_VERTICES, polyhedron::Ray, RETHROW, TRY, UNCATCH, value_addto, value_assign, value_clear, value_eq, value_gt, value_init, value_lt, value_multiply, value_ne, value_oppose, value_set_si, and value_zero_p.

Polyhedron* DomainDifference	(	Polyhedron *	Pol1,
		Polyhedron *	Pol2,
		unsigned	NbMaxRays
	)

Definition at line 3608 of file polyhedron.c.

References AddPolyToDomain(), polyhedron::Constraint, polyhedron::Dimension, Domain_Copy(), Domain_Free(), Empty_Polyhedron(), emptyQ, errormsg1(), polyhedron::NbConstraints, polyhedron::next, POL_ENSURE_FACETS, POL_ENSURE_VERTICES, SubConstraint(), and value_notzero_p.

Referenced by Domain_Enumerate(), ZDomainSimplify(), ZPolyhedronDifference(), and ZPolyhedronIncludes().

Polyhedron* DomainImage	(	Polyhedron *	Pol,
		Matrix *	Func,
		unsigned	NbMaxConstrs
	)

Definition at line 4187 of file polyhedron.c.

References AddPolyToDomain(), any_exception_error, CATCH, polyhedron::next, p, Polyhedron_Free(), Polyhedron_Image(), RETHROW, TRY, and UNCATCH.

Referenced by AddZPolytoZDomain(), CanonicalForm(), FindHermiteBasisofDomain(), IntegraliseLattice(), Polyhedron_Image_Enumerate(), ZDomainSimplify(), ZPolyhedronDifference(), ZPolyhedronImage(), ZPolyhedronIncludes(), ZPolyhedronIntersection(), and ZPolyhedronPreimage().

Polyhedron* DomainIntersection	(	Polyhedron *	Pol1,
		Polyhedron *	Pol2,
		unsigned	NbMaxRays
	)

Polyhedron* DomainPreimage	(	Polyhedron *	Pol,
		Matrix *	Func,
		unsigned	NbMaxRays
	)

Definition at line 4061 of file polyhedron.c.

References AddPolyToDomain(), any_exception_error, CATCH, polyhedron::next, p, Polyhedron_Free(), Polyhedron_Preimage(), RETHROW, TRY, and UNCATCH.

Referenced by IntegraliseLattice(), ZDomainSimplify(), ZPolyhedronDifference(), ZPolyhedronImage(), ZPolyhedronIntersection(), and ZPolyhedronPreimage().

Polyhedron* DomainSimplify	(	Polyhedron *	Pol1,
		Polyhedron *	Pol2,
		unsigned	NbMaxRays
	)

Definition at line 3260 of file polyhedron.c.

References AddPolyToDomain(), polyhedron::Constraint, Constraints2Polyhedron(), polyhedron::Dimension, Empty_Polyhedron(), emptyQ, errormsg1(), Matrix_Alloc(), Matrix_Free(), MSB, polyhedron::NbConstraints, matrix::NbRows, NEXT, polyhedron::next, matrix::p, POL_ENSURE_VERTICES, Pol_status, SimplifyConstraints(), SimplifyEqualities(), SMVector_Init, and Vector_Copy().

Referenced by Ehrhart_Quick_Apx_Full_Dim(), Find_m_faces(), main(), Polyhedron_Enumerate(), and Polyhedron_Scan().

Polyhedron* DomainUnion	(	Polyhedron *	Pol1,
		Polyhedron *	Pol2,
		unsigned	NbMaxRays
	)

Definition at line 3493 of file polyhedron.c.

References polyhedron::Dimension, errormsg1(), polyhedron::next, Polyhedron_Copy(), and PolyhedronIncludes().

Referenced by AddZPolytoZDomain(), DMUnion(), and main().

Polyhedron* Empty_Polyhedron ( unsigned Dimension )

Definition at line 1715 of file polyhedron.c.

References polyhedron::Constraint, errormsg1(), F_SET, polyhedron::NbBid, polyhedron::NbEq, POL_FACETS, POL_INEQUALITIES, POL_POINTS, POL_VALID, POL_VERTICES, Polyhedron_Alloc(), value_set_si, and Vector_Set().

Referenced by Constraints2Polyhedron(), DomainDifference(), DomainIntersection(), DomainSimplify(), EmptyZPolyhedron(), p_simplify_constraints(), Polyhedron_Image(), Polyhedron_Preimage(), Rays2Polyhedron(), Remove_Redundants(), and Stras_DomainSimplify().

void errormsg1	(	const char *	f,
		const char *	msgname,
		const char *	msg
	)

Definition at line 46 of file errormsg.c.

static void FindSimple	(	Polyhedron *	P1,
		Polyhedron *	P2,
		unsigned *	Filter,
		unsigned	NbMaxRays
	)			`[static]`

Definition at line 2902 of file polyhedron.c.

References AddConstraints(), addToFilter(), any_exception_error, CATCH, polyhedron::Constraint, polyhedron::Dimension, emptyQ, errormsg1(), Matrix_Alloc(), Matrix_Free(), MSB, polyhedron::NbConstraints, polyhedron::NbRays, SatMatrix::NbRows, matrix::NbRows, NEXT, SatMatrix::p, matrix::p, SatMatrix::p_init, matrix::p_Init, Polyhedron_Copy(), Polyhedron_Free(), polyhedron::Ray, RETHROW, Sat, SMAlloc(), SMFree(), SMVector_Init, TRY, UNCATCH, value_add_int, value_addmul, value_assign, value_clear, value_decrement, value_eq, value_gt, value_increment, value_init, value_notzero_p, value_pos_p, value_posz_p, value_set_si, value_zero_p, Vector_Copy(), and Vector_Set().

Referenced by SimplifyConstraints().

int Gauss	(	Matrix *	Mat,
		int	NbEq,
		int	Dimension
	)

Definition at line 829 of file polyhedron.c.

References Gauss4(), Matrix_Print(), matrix::NbRows, and matrix::p.

Referenced by Constraints2Polyhedron(), P_Enum(), Remove_Redundants(), and SimplifyEqualities().

static int Gauss4	(	Value **	p,
		int	NbEq,
		int	NbRows,
		int	Dimension
	)			`[static]`

Definition at line 734 of file polyhedron.c.

References any_exception_error, CATCH, Combine(), errormsg1(), RETHROW, TRY, UNCATCH, value_clear, value_cmp_si, value_init, value_neg_p, value_notzero_p, Vector_AntiScale(), Vector_Exchange(), Vector_Gcd(), and Vector_Oppose().

Referenced by Gauss(), and Polyhedron_Image().

static int ImplicitEqualities	(	Matrix *	Constraints,
		unsigned	NbEq
	)			`[static]`

Definition at line 1835 of file polyhedron.c.

References First_Non_Zero(), matrix::NbColumns, matrix::NbRows, matrix::p, value_abs_ne, value_addto, value_clear, value_eq, value_init, value_neg_p, value_pos_p, value_set_si, value_sign, value_zero_p, and Vector_Set().

Referenced by Constraints2Polyhedron().

int lower_upper_bounds	(	int	pos,
		Polyhedron *	P,
		Value *	context,
		Value *	LBp,
		Value *	UBp
	)

Definition at line 3805 of file polyhedron.c.

References polyhedron::Constraint, polyhedron::Dimension, Inner_Product(), LB_INFINITY, n, polyhedron::NbConstraints, POL_ENSURE_FACETS, POL_ENSURE_VERTICES, UB_INFINITY, value_add_int, value_assign, value_clear, value_division, value_gt, value_init, value_lt, value_modulus, value_neg_p, value_notzero_p, value_oppose, value_pos_p, value_set_si, value_sub_int, and value_zero_p.

Referenced by cherche_min(), count_points(), exist_points(), and P_Enum().

static Polyhedron* p_simplify_constraints	(	Polyhedron *	P,
		Vector *	row,
		Value *	g,
		unsigned	MaxRays
	)			`[static]`

Definition at line 4645 of file polyhedron.c.

References AddConstraints(), polyhedron::Constraint, ConstraintSimplify(), polyhedron::Dimension, Empty_Polyhedron(), F_CLR, polyhedron::NbConstraints, Vector::p, POL_FACETS, POL_ISSET, POL_NO_DUAL, POL_POINTS, POL_VERTICES, Polyhedron_Copy(), Polyhedron_Free(), value_zero_p, and Vector_Copy().

Referenced by DomainConstraintSimplify().

Matrix* Polyhedron2Constraints ( Polyhedron * Pol )

Definition at line 2056 of file polyhedron.c.

References polyhedron::Constraint, polyhedron::Dimension, errormsg1(), Matrix_Alloc(), polyhedron::NbConstraints, matrix::p_Init, POL_ENSURE_INEQUALITIES, and Vector_Copy().

Referenced by dehomogenize_polyhedron(), Elim_Columns(), Find_m_faces(), GenParamPolyhedron(), main(), Polyhedron_Remove_parm_eqs(), and traite_m_face().

Matrix* Polyhedron2Rays ( Polyhedron * Pol )

Definition at line 2639 of file polyhedron.c.

References polyhedron::Dimension, errormsg1(), Matrix_Alloc(), polyhedron::NbRays, matrix::p_Init, POL_ENSURE_POINTS, polyhedron::Ray, and Vector_Copy().

Referenced by main().

Polyhedron* Polyhedron_Alloc	(	unsigned	Dimension,
		unsigned	NbConstraints,
		unsigned	NbRays
	)

Definition at line 1556 of file polyhedron.c.

References polyhedron::Constraint, polyhedron::Dimension, errormsg1(), polyhedron::flags, polyhedron::NbBid, polyhedron::NbConstraints, polyhedron::NbEq, polyhedron::NbRays, polyhedron::next, p, polyhedron::p_Init, polyhedron::p_Init_size, polyhedron::Ray, and value_alloc().

Referenced by align_context(), Constraints2Polyhedron(), Empty_Polyhedron(), Polyhedron_Copy(), Polyhedron_Image(), Remove_Redundants(), and Universe_Polyhedron().

void Polyhedron_Compute_Dual ( Polyhedron * P )

Definition at line 2198 of file polyhedron.c.

References assert, polyhedron::Constraint, Constraints2Polyhedron(), polyhedron::Dimension, F_ISSET, matrix::NbColumns, polyhedron::NbConstraints, matrix::NbRows, polyhedron::next, matrix::p, polyhedron::p_Init, matrix::p_Init, POL_FACETS, POL_INEQUALITIES, POL_VALID, POL_VERTICES, and Polyhedron_Free().

Polyhedron* Polyhedron_Copy ( Polyhedron * Pol )

Definition at line 2796 of file polyhedron.c.

References polyhedron::Constraint, polyhedron::Dimension, errormsg1(), polyhedron::flags, polyhedron::NbBid, polyhedron::NbConstraints, polyhedron::NbEq, polyhedron::NbRays, Polyhedron_Alloc(), polyhedron::Ray, and Vector_Copy().

Referenced by Add_CEqualities(), AddConstraints(), Disjoint_Domain(), Domain_Copy(), DomainConvex(), DomainUnion(), FindSimple(), p_simplify_constraints(), and Polyhedron_Image_Enumerate().

void Polyhedron_Free ( Polyhedron * Pol )

Definition at line 1603 of file polyhedron.c.

References polyhedron::Constraint, polyhedron::p_Init, polyhedron::p_Init_size, and value_free().

Referenced by AddConstraints(), AddPolyToDomain(), AddRays(), align_context(), CanonicalForm(), ComputeNPLinesRays(), Constraints2Polyhedron(), dehomogenize_enumeration(), Disjoint_Domain(), Domain_Free(), DomainAddConstraints(), DomainAddRays(), DomainConstraintSimplify(), DomainConvex(), DomainImage(), DomainPreimage(), Ehrhart_Quick_Apx(), Ehrhart_Quick_Apx_Full_Dim(), eliminable_vars(), Enumerate_NoParameters(), Enumeration_zero(), Find_m_faces(), FindSimple(), main(), p_simplify_constraints(), PDomainDifference(), PDomainIntersection(), Polyhedron2Param_Domain(), Polyhedron_Compute_Dual(), Polyhedron_Enumerate(), Polyhedron_Image(), Polyhedron_Image_Enumerate(), Polyhedron_LexSmallerEnumerate(), Polyhedron_Preimage(), Polyhedron_Preprocess(), Polyhedron_Remove_parm_eqs(), Rays2Polyhedron(), Remove_Redundants(), SimplifyConstraints(), Stras_DomainSimplify(), SubConstraint(), test_Constraints_fullDimensionize(), test_Constraints_Remove_parm_eqs(), test_Polyhedron_Remove_parm_eqs(), and traite_m_face().

Polyhedron* Polyhedron_Image	(	Polyhedron *	Pol,
		Matrix *	Func,
		unsigned	NbMaxConstrs
	)

Definition at line 4089 of file polyhedron.c.

References any_exception_error, CATCH, polyhedron::Constraint, polyhedron::Dimension, Empty_Polyhedron(), errormsg1(), Gauss4(), Matrix_Alloc(), Matrix_Copy(), Matrix_Free(), Matrix_Inverse(), polyhedron::NbBid, matrix::NbColumns, polyhedron::NbConstraints, polyhedron::NbEq, polyhedron::NbRays, matrix::NbRows, matrix::p, POL_ENSURE_FACETS, POL_ENSURE_VERTICES, Polyhedron_Alloc(), Polyhedron_Free(), polyhedron::Ray, Rays2Polyhedron(), Rays_Mult(), Rays_Mult_Transpose(), RETHROW, TRY, and UNCATCH.

Referenced by DomainImage(), and main().

Polyhedron* Polyhedron_Preimage	(	Polyhedron *	Pol,
		Matrix *	Func,
		unsigned	NbMaxRays
	)

Definition at line 4002 of file polyhedron.c.

References any_exception_error, CATCH, polyhedron::Constraint, Constraints2Polyhedron(), polyhedron::Dimension, Empty_Polyhedron(), errormsg1(), Matrix_Alloc(), Matrix_Free(), matrix::NbColumns, polyhedron::NbConstraints, matrix::NbRows, matrix::p, POL_ENSURE_INEQUALITIES, Pol_status, Polyhedron_Free(), Rays_Mult(), RETHROW, TRY, and UNCATCH.

Referenced by DomainPreimage(), Ehrhart_Quick_Apx_Full_Dim(), Enumerate_NoParameters(), main(), Param_Polyhedron_Scale_Integer(), and Polyhedron_Enumerate().

void Polyhedron_Print	(	FILE *	Dst,
		const char *	Format,
		const Polyhedron *	Pol
	)

void Polyhedron_PrintConstraints	(	FILE *	Dst,
		const char *	Format,
		Polyhedron *	Pol
	)

Definition at line 4623 of file polyhedron.c.

References polyhedron::Constraint, polyhedron::Dimension, polyhedron::NbConstraints, and value_print.

Referenced by AffConstraints(), AffContraintes(), and Domain_PrintConstraints().

Polyhedron* Polyhedron_Scan	(	Polyhedron *	D,
		Polyhedron *	C,
		unsigned	NbMaxRays
	)

Definition at line 3743 of file polyhedron.c.

References align_context(), assert, polyhedron::Dimension, Domain_Free(), DomainAddRays(), DomainIntersection(), DomainSimplify(), errormsg1(), Matrix_Alloc(), Matrix_Free(), matrix::NbRows, polyhedron::next, matrix::p, matrix::p_Init, POL_ENSURE_FACETS, POL_ENSURE_VERTICES, value_set_si, and Vector_Set().

Referenced by Ehrhart_Quick_Apx_Full_Dim(), Enumerate_NoParameters(), main(), Polyhedron_Enumerate(), Polyhedron_Not_Empty(), and Polyhedron_Preprocess().

int PolyhedronIncludes	(	Polyhedron *	Pol1,
		Polyhedron *	Pol2
	)

void PolyPrint ( Polyhedron * Pol )

Definition at line 1704 of file polyhedron.c.

References Polyhedron_Print().

Polyhedron* Rays2Polyhedron	(	Matrix *	Ray,
		unsigned	NbMaxConstrs
	)

Given a matrix of rays 'Ray', create and return a polyhedron.

Parameters:

	Ray	Rays (may be modified!)
	NbMaxConstrs	Estimated number of constraints in the polyhedron.

Returns:: newly allocated Polyhedron

Definition at line 2083 of file polyhedron.c.

References any_exception_error, CATCH, Chernikova(), Empty_Polyhedron(), errormsg1(), Matrix_Alloc(), Matrix_Free(), Matrix_Print(), matrix::NbColumns, matrix::NbRows, matrix::p, matrix::p_Init, POL_ISSET, POL_NO_DUAL, Polyhedron_Free(), Polyhedron_Print(), Remove_Redundants(), RETHROW, Sat, SMAlloc(), SMFree(), SMPrint(), SMVector_Init, TransformSat(), TRY, UNCATCH, value_set_si, and Vector_Set().

Referenced by main(), Polyhedron_Image(), and traite_m_face().

static void Rays_Mult	(	Value **	A,
		Matrix *	B,
		Value **	C,
		unsigned	NbRays
	)			`[static]`

Definition at line 3920 of file polyhedron.c.

References any_exception_error, CATCH, matrix::NbColumns, matrix::NbRows, matrix::p, RETHROW, TRY, UNCATCH, value_addmul, value_assign, value_clear, value_init, value_notone_p, value_set_si, Vector_AntiScale(), and Vector_Gcd().

Referenced by Polyhedron_Image(), and Polyhedron_Preimage().

static void Rays_Mult_Transpose	(	Value **	A,
		Matrix *	B,
		Value **	C,
		unsigned	NbRays
	)			`[static]`

Definition at line 3959 of file polyhedron.c.

References any_exception_error, CATCH, matrix::NbColumns, matrix::NbRows, matrix::p, RETHROW, TRY, UNCATCH, value_addmul, value_assign, value_clear, value_init, value_notone_p, value_set_si, Vector_AntiScale(), and Vector_Gcd().

Referenced by Polyhedron_Image().

static void RaySort	(	Matrix *	Ray,
		SatMatrix *	Sat,
		int	NbBid,
		int	NbRay,
		int *	equal_bound,
		int *	sup_bound,
		unsigned	RowSize1,
		unsigned	RowSize2,
		unsigned	bx,
		unsigned	jx
	)			`[static]`

Definition at line 305 of file polyhedron.c.

References bexchange, SatMatrix::p, matrix::p, value_neg_p, value_zero_p, and Vector_Exchange().

Referenced by Chernikova().

static Polyhedron* Remove_Redundants	(	Matrix *	Mat,
		Matrix *	Ray,
		SatMatrix *	Sat,
		unsigned *	Filter
	)			`[static]`

Definition at line 859 of file polyhedron.c.

References any_exception_error, bexchange, CATCH, polyhedron::Constraint, Empty_Polyhedron(), errormsg1(), exchange, F_SET, First_Non_Zero(), Gauss(), Matrix_Print(), MSB, polyhedron::NbBid, SatMatrix::NbColumns, matrix::NbColumns, polyhedron::NbConstraints, polyhedron::NbEq, polyhedron::NbRays, matrix::NbRows, NEXT, SatMatrix::p, matrix::p, POL_FACETS, POL_INEQUALITIES, POL_POINTS, POL_VALID, POL_VERTICES, Polyhedron_Alloc(), Polyhedron_Free(), polyhedron::Ray, RETHROW, TRY, UNCATCH, value_clear, value_cmp_si, value_increment, value_init, value_neg_p, value_notzero_p, value_one_p, value_set_si, value_zero_p, Vector_Alloc(), Vector_Copy(), Vector_Equal(), Vector_Exchange(), Vector_Free(), Vector_Scale(), and Vector_Set().

Referenced by AddConstraints(), AddRays(), Constraints2Polyhedron(), Rays2Polyhedron(), SimplifyConstraints(), and SubConstraint().

static void SatMatrix_Extend	(	SatMatrix *	Sat,
		Matrix *	Mat,
		unsigned	rows
	)			`[static]`

Definition at line 354 of file polyhedron.c.

References errormsg1(), SatMatrix::NbRows, matrix::NbRows, SatMatrix::p, and SatMatrix::p_init.

Referenced by Chernikova().

static void SatVector_OR	(	int *	p1,
		int *	p2,
		int *	p3,
		unsigned	length
	)			`[static]`

Definition at line 180 of file polyhedron.c.

Referenced by Chernikova().

static int SimplifyConstraints	(	Polyhedron *	Pol1,
		Polyhedron *	Pol2,
		unsigned *	Filter,
		unsigned	NbMaxRays
	)			`[static]`

Definition at line 3120 of file polyhedron.c.

References any_exception_error, BuildSat(), CATCH, Chernikova(), polyhedron::Constraint, polyhedron::Dimension, emptyQ, errormsg1(), FindSimple(), Matrix_Alloc(), Matrix_Free(), polyhedron::NbBid, polyhedron::NbConstraints, polyhedron::NbRays, matrix::p_Init, POL_ISSET, POL_NO_DUAL, Pol_status, Polyhedron_Free(), polyhedron::Ray, Remove_Redundants(), RETHROW, Sat, SMFree(), TRY, UNCATCH, and Vector_Copy().

Referenced by DomainSimplify(), and Stras_DomainSimplify().

static void SimplifyEqualities	(	Polyhedron *	Pol1,
		Polyhedron *	Pol2,
		unsigned *	Filter
	)			`[static]`

Definition at line 3207 of file polyhedron.c.

References polyhedron::Constraint, polyhedron::Dimension, errormsg1(), Gauss(), Matrix_Alloc(), Matrix_Free(), MSB, polyhedron::NbEq, NEXT, matrix::p, matrix::p_Init, Pol_status, value_notzero_p, and Vector_Copy().

Referenced by DomainSimplify().

static SatMatrix* SMAlloc	(	int	rows,
		int	cols
	)			`[static]`

Definition at line 109 of file polyhedron.c.

References errormsg1(), SatMatrix::NbColumns, SatMatrix::NbRows, SatMatrix::p, p, and SatMatrix::p_init.

Referenced by BuildSat(), Constraints2Polyhedron(), FindSimple(), Rays2Polyhedron(), and TransformSat().

static void SMFree ( SatMatrix ** matrix ) [static]

Definition at line 145 of file polyhedron.c.

References SatMatrix::p, and SatMatrix::p_init.

Referenced by AddConstraints(), AddRays(), BuildSat(), Constraints2Polyhedron(), FindSimple(), Rays2Polyhedron(), SimplifyConstraints(), and SubConstraint().

static void SMPrint ( SatMatrix * matrix ) [static]

Definition at line 162 of file polyhedron.c.

References SatMatrix::NbColumns, SatMatrix::NbRows, SatMatrix::p, and p.

Referenced by Chernikova(), Constraints2Polyhedron(), and Rays2Polyhedron().

static void SortConstraints	(	Matrix *	Constraints,
		unsigned	NbEq
	)			`[static]`

Definition at line 1786 of file polyhedron.c.

References max, matrix::NbColumns, matrix::NbRows, matrix::p, value_abs_eq, value_abs_lt, value_eq, value_lt, value_pos_p, and Vector_Exchange().

Referenced by Constraints2Polyhedron().

Polyhedron* Stras_DomainSimplify	(	Polyhedron *	Pol1,
		Polyhedron *	Pol2,
		unsigned	NbMaxRays
	)

Definition at line 3372 of file polyhedron.c.

References AddPolyToDomain(), any_exception_error, CATCH, polyhedron::Constraint, Constraints2Polyhedron(), polyhedron::Dimension, Empty_Polyhedron(), emptyQ, errormsg1(), Matrix_Alloc(), Matrix_Free(), MSB, polyhedron::NbConstraints, matrix::NbRows, NEXT, polyhedron::next, matrix::p, POL_ENSURE_VERTICES, Polyhedron_Free(), RETHROW, SimplifyConstraints(), SMVector_Init, TRY, UNCATCH, and Vector_Copy().

Polyhedron* SubConstraint	(	Value *	Con,
		Polyhedron *	Pol,
		unsigned	NbMaxRays,
		int	Pass
	)

Definition at line 2508 of file polyhedron.c.

References any_exception_error, BuildSat(), CATCH, Chernikova(), polyhedron::Constraint, polyhedron::Dimension, errormsg1(), Matrix_Alloc(), Matrix_Free(), polyhedron::NbBid, polyhedron::NbConstraints, polyhedron::NbRays, matrix::p, POL_ENSURE_FACETS, POL_ENSURE_VERTICES, POL_ISSET, POL_NO_DUAL, Pol_status, Polyhedron_Free(), polyhedron::Ray, Remove_Redundants(), RETHROW, Sat, SMFree(), TRY, UNCATCH, value_assign, value_decrement, value_notzero_p, value_oppose, value_set_si, and Vector_Copy().

Referenced by Disjoint_Domain(), DomainDifference(), and PDomainDifference().

static SatMatrix* TransformSat	(	Matrix *	Mat,
		Matrix *	Ray,
		SatMatrix *	Sat
	)			`[static]`

Definition at line 266 of file polyhedron.c.

References MSB, matrix::NbRows, NEXT, SatMatrix::p, SatMatrix::p_init, SMAlloc(), and SMVector_Init.

Referenced by AddRays(), and Rays2Polyhedron().

Polyhedron* Universe_Polyhedron ( unsigned Dimension )

Definition at line 1748 of file polyhedron.c.

References polyhedron::Constraint, errormsg1(), F_SET, polyhedron::NbBid, polyhedron::NbEq, POL_FACETS, POL_INEQUALITIES, POL_POINTS, POL_VALID, POL_VERTICES, Polyhedron_Alloc(), polyhedron::Ray, value_set_si, and Vector_Set().

Referenced by Constraints2Polyhedron(), Ehrhart_Quick_Apx_Full_Dim(), Enumerate_NoParameters(), Enumeration_zero(), Find_m_faces(), GenParamPolyhedron(), Polyhedron_Enumerate(), and Polyhedron_Preprocess().

Variable Documentation

int Pol_status

Definition at line 89 of file polyhedron.c.

Referenced by AddConstraints(), AddRays(), DomainSimplify(), errormsg1(), GaussSimplify(), Polyhedron_Preimage(), SimplifyConstraints(), SimplifyEqualities(), and SubConstraint().

polyhedron.c File Reference

Classes

Defines

Functions

Variables

Define Documentation

Function Documentation

Variable Documentation