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H-representationV-representationbegin%ld %ld %ssize = %ld x %ld Number Type = %s a(%3ld,%5ld) = end'end' missing or illegal extra data: %s begin %ld %ld rational end WriteAmatrix: The requested matrix is empty WriteBmatrix: The requested matrix is empty %ld %ld %ld %ld : WriteSetFamily: The requested family is empty linearity %ld %ldminimize maximize V-representation H-representation WriteMatrix: The requested matrix is empty WriteLP: The requested lp is empty % .9E %2ldicd_file: Incidence of inequalities and generators ecd_file: Incidence of generators and inequalities iad_file: Adjacency of inequalities ead_file: Adjacency of generators Version 0.94b (August 25, 2005)* cddlib: a double description library:%s GMP rational* compiled for %s arithmetic. Copyright (C) 1996, Komei Fukuda, fukuda@ifor.math.ethz.ch* %s * Computation started at %s* ended at %s* Total processor time = %ld seconds * = %ld h %ld m %ld s *--- Statistics of pivots --- * f0 = %ld (float basis finding pivots) * fc = %ld (float CC pivots) * f1 = %ld (float dual simplex phase I pivots) * f2 = %ld (float dual simplex phase II pivots) * f3 = %ld (float anticycling CC pivots) * e0 = %ld (exact basis finding pivots) * ec = %ld (exact CC pivots) * e1 = %ld (exact dual simplex phase I pivots) * e2 = %ld (exact dual simplex phase II pivots) * e3 = %ld (exact anticycling CC pivots) * e4 = %ld (exact basis verification pivots) * LP solver: * Redundancy cheking solver: * Lexicographic pivot: on off DualSimplex Criss-Cross * roworder: minindex maxindex mincutoff maxcutoff mixcutoff lexmin lexmax random %d *Computation completed at Iteration %4ld because the region found empty. *Computation completed at Iteration %4ld. *Input Error: Input matrix is too large: *Please increase MMAX and/or NMAX in the source code and recompile. *Input Error: Input format is not correct. *Format: begin m n NumberType(real, rational or integer) b -A end *Input Error: Input matrix has a negative size: *Please check rowsize or colsize. *Input Error: V-representation is empty: *cddlib does not accept this trivial case for which output can be any inconsistent system. *Input Error: H-representation is empty. *Input Error: Representation is empty. *Input Error: Specified input file does not exist. *Output Error: Specified output file cannot be opened. *LP Error: No LP objective (max or min) is set. *LP Error: The binary (with GMP Rational) does not support Real number input. : Use a binary compiled without -DGMPRATIONAL option. *Error: A function is called with H-rep which does not support an H-representation. *Error: A function is called with V-rep which does not support an V-representation. *Error: The function called cannot handle linearity. *Error: Specified row index is out of range *Error: Specified column index is out of range *Error: Possibly an LP cycling occurs. 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FirstRay in not nil. Illegal Call Create the artificial ray pointer *Work of iteration %5ld(/%ld): %4ld/%4ld => %4.1f%% left Warning: dd_UpdateEdges called with NULL pointer(s) Procedure dd_MatrixRank: pivot on (r,s) =(%ld, %ld). Procedure dd_FindBasis: pivot on (r,s) =(%ld, %ld). Equality set is dependent. Equality Set and an initial basis: Linearity Dimension = %ld dd_FindInitialRays: rank of Amatrix = %ld Equal records found !!!! Check equality of two rays CreatNewRay: dd_Normalized ray =CreatNewRay: New ray =dd_AValue1 and ABSdd_AValue2 and ABSCreatNewRay: Ray1 =CreatNewRay: Ray2 =Error. Artificial Ray does not point to FirstRay!!! Error at dd_DeleteNegativeRays: ArtificialRay does not point the FirstRay. 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Terminate. ->The basis is feasible. Go to phase II. max number %ld of pivots performed in Phase I. Switch to the anticycling phase. Store the current feasible basis: dd_FindDualFeasibleBasis: Pivot on %ld %ld. dd_FindDualFeasibleBasis: curruent basis is not dual feasible. because of the column %ld assoc. with var %ld dual cost = dd_FindDualFeasibleBasis: the starting dictionary.Phase I failed and thus switch to the Criss-Cross method dd_DualSimplexMaximize: The current dictionary. dd_DualSimplexMaximize: Store the current feasible basis:* cdd LP solver result * #constraints = %ld * #variables = %ld * number of pivot operations = %ld (ph0 = %ld, ph1 = %ld, ph2 = %ld, ph3 = %ld, ph4 = %ld) * LP status: a dual pair (x,y) of optimal solutions found. primal_solution begin %3ld : dual_solution optimal_value : end * LP status: LP is dual inconsistent. * The linear combination of columns with * the following coefficients will prove the dual inconsistency. * (It is also an unbounded direction for the primal LP.) primal_direction * LP status: LP is inconsistent. * The positive combination of original inequalities with * the following coefficients will prove the inconsistency. dual_direction * Objective function is X[%3ld] +* minimization is chosen * no objective type (max or min) is chosen * maximization is chosen * Algorithm: dual simplex algorithm * Algorithm: criss-cross method Warning: RayShooting is called with a direction with first coordinate not 0. Warning: RayShooting is called with a point with first coordinate not 1. 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.ext.ine.xxx.ead.iad.dex.ecd.icd.ddlsub.ine.lps.solvedintegerrationalrealhulldebugpartial_enumequalitylinearitymaximizeminimizecost(%5ld) =%lfnewpos1[%ld]=%ld, newpos2[newpos1[%ld]]=%ld , * Warning: there are inconsistencies in linearity setting. H-representationV-representationbegin%ld %ld %ssize = %ld x %ld Number Type = %s end'end' missing or illegal extra data: %s a(%3ld,%5ld) = begin %ld %ld real end WriteAmatrix: The requested matrix is empty WriteBmatrix: The requested matrix is empty %ld %ld %ld %ld : WriteSetFamily: The requested family is empty linearity %ld %ldminimize maximize V-representation H-representation WriteMatrix: The requested matrix is empty WriteLP: The requested lp is empty % .9E %2ldicd_file: Incidence of inequalities and generators ecd_file: Incidence of generators and inequalities iad_file: Adjacency of inequalities ead_file: Adjacency of generators Version 0.94b (August 25, 2005)* cddlib: a double description library:%s C double* compiled for %s arithmetic. Copyright (C) 1996, Komei Fukuda, fukuda@ifor.math.ethz.ch* %s * Computation started at %s* ended at %s* Total processor time = %ld seconds * = %ld h %ld m %ld s *--- Statistics of pivots --- f0 = %ld (float basis finding pivots) fc = %ld (float CC pivots) f1 = %ld (float dual simplex phase I pivots) f2 = %ld (float dual simplex phase II pivots) f3 = %ld (float anticycling CC pivots) * LP solver: * Redundancy cheking solver: * Lexicographic pivot: on off DualSimplex Criss-Cross * roworder: minindex maxindex mincutoff maxcutoff mixcutoff lexmin lexmax random %d *Computation completed at Iteration %4ld because the region found empty. *Computation completed at Iteration %4ld. *Input Error: Input matrix is too large: *Please increase MMAX and/or NMAX in the source code and recompile. *Input Error: Input format is not correct. *Format: begin m n NumberType(real, rational or integer) b -A end *Input Error: Input matrix has a negative size: *Please check rowsize or colsize. *Input Error: V-representation is empty: *cddlib does not accept this trivial case for which output can be any inconsistent system. *Input Error: H-representation is empty. *Input Error: Representation is empty. *Input Error: Specified input file does not exist. *Output Error: Specified output file cannot be opened. *LP Error: No LP objective (max or min) is set. *LP Error: The binary (with GMP Rational) does not support Real number input. : Use a binary compiled without -Dddf_GMPRATIONAL option. *Error: A function is called with H-rep which does not support an H-representation. *Error: A function is called with V-rep which does not support an V-representation. *Error: The function called cannot handle linearity. *Error: Specified row index is out of range *Error: Specified column index is out of range *Error: Possibly an LP cycling occurs. Use the Criss-Cross method. *Error: Numerical inconsistency is found. 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FirstRay in not nil. Illegal Call Create the artificial ray pointer *Work of iteration %5ld(/%ld): %4ld/%4ld => %4.1f%% left Warning: ddf_UpdateEdges called with NULL pointer(s) Procedure ddf_MatrixRank: pivot on (r,s) =(%ld, %ld). Procedure ddf_FindBasis: pivot on (r,s) =(%ld, %ld). Equality set is dependent. Equality Set and an initial basis: Linearity Dimension = %ld ddf_FindInitialRays: rank of Amatrix = %ld Equal records found !!!! Check equality of two rays CreatNewRay: ddf_Normalized ray =CreatNewRay: New ray =ddf_AValue1 and ABSddf_AValue2 and ABSCreatNewRay: Ray1 =CreatNewRay: Ray2 =Error. Artificial Ray does not point to FirstRay!!! Error at ddf_DeleteNegativeRays: ArtificialRay does not point the FirstRay. 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DualSimplex Phase I: the auxiliary variable entered the basis (# pivots = %ld). Go to phase II ddf_FindDualFeasibleBasis: make a %ld-th pivot on %ld %ld ddf_FindDualFeasibleBasis: Numerical Inconsistency detected (r_val is 0). ddf_FindDualFeasibleBasis: make the %ld-th pivot on %ld %ld to force the auxiliary variable to enter the basis. ddf_FindDualFeasibleBasis: the auxiliary variable was forced to enter the basis (# pivots = %ld). -- objrow %ld, ms %ld entry: ->The basis is dual inconsistent. Terminate. ->The basis is feasible. Go to phase II. max number %ld of pivots performed in Phase I. Switch to the anticycling phase. Store the current feasible basis: ddf_FindDualFeasibleBasis: Pivot on %ld %ld. ddf_FindDualFeasibleBasis: curruent basis is not dual feasible. because of the column %ld assoc. with var %ld dual cost = ddf_FindDualFeasibleBasis: the starting dictionary.Phase I failed and thus switch to the Criss-Cross method ddf_DualSimplexMaximize: The current dictionary. ddf_DualSimplexMaximize: Store the current feasible basis:max number %ld of pivots performed by the criss-cross method. Most likely due to the floating-point arithmetics error. * cdd LP solver result * #constraints = %ld * #variables = %ld * number of pivot operations = %ld (ph0 = %ld, ph1 = %ld, ph2 = %ld, ph3 = %ld, ph4 = %ld) * LP status: a dual pair (x,y) of optimal solutions found. primal_solution begin %3ld : dual_solution optimal_value : end * LP status: LP is dual inconsistent. * The linear combination of columns with * the following coefficients will prove the dual inconsistency. * (It is also an unbounded direction for the primal LP.) primal_direction * LP status: LP is inconsistent. * The positive combination of original inequalities with * the following coefficients will prove the inconsistency. dual_direction * Objective function is X[%3ld] +* minimization is chosen * no objective type (max or min) is chosen * maximization is chosen * Algorithm: dual simplex algorithm * Algorithm: criss-cross method Warning: RayShooting is called with a direction with first coordinate not 0. Warning: RayShooting is called with a point with first coordinate not 1. 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