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cddio_r.C
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cddio_r.C
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/* cddio.C: Basic Input and Output Procedures for cdd.C
written by Komei Fukuda, fukuda@ifor.math.ethz.ch
Version 0.77, August 19, 2003
*/
/* cdd.C : C++-Implementation of the double description method for
computing all vertices and extreme rays of the polyhedron
P= {x : b - A x >= 0}.
Please read COPYING (GNU General Public Licence) and
the manual cddman.tex for detail.
*/
#include <fstream>
#include <string>
using namespace std;
#include "cddtype.h"
#include "cddrevs.h"
extern "C" {
#include "setoper.h" /* set operation library header (Ver. May 14,1995 or later) */
#include "cdddef.h"
#include "cdd.h"
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include <string.h>
} /* end of extern "C" */
void SetInputFile(boolean *success)
{
boolean opened=False,stop, quit=False;
int i,dotpos=0, semipos=0;
char ch;
char *tempname;
*success=False;
while (!opened && !quit) {
if (FileInputMode!=Auto){
printf("\n>> Input file (*.ine) : ");
scanf("%s",inputfile);
ch=getchar();
}
stop=False;
for (i=0; i<filenamelen && !stop; i++){
ch=inputfile[i];
switch (ch) {
case '.':
dotpos=i+1;
break;
case ';': case ' ': case '\0': case '\n': case '\t':
if (ch==';'){
semipos=i+1;
FileInputMode=SemiAuto;
/* semicolon at the end of the filename
-> output file names will be creeated with defaults. */
}
stop=True;
tempname=(char*)calloc(filenamelen,sizeof ch);
strncpy(tempname, inputfile, i);
strcpy(inputfile,tempname);
break;
}
}
if (dotpos>0){
strncpy(ifilehead, inputfile, dotpos-1);
strcpy(ifiletail, &(inputfile[dotpos]));
}else{
strcpy(ifilehead, inputfile);
}
if (debug){
printf("inputfile name: %s\n", inputfile);
printf("inputfile name head: %s\n", ifilehead);
printf("inputfile name tail: %s\n", ifiletail);
printf("semicolon pos: %d\n", semipos);
}
ifstream ftemp(inputfile);
if (ftemp) {
if (DynamicWriteOn) printf("input file %s is open\n", inputfile);
opened=True;
*success=True;
ftemp.close();
}
else{
printf("The file %s not found\n",inputfile);
if (FileInputMode==Auto) {
quit=True;
}
}
}
}
void SetWriteFileName(DataFileType fname, char cflag, char *fscript)
{
boolean quit=False;
char *extension;
DataFileType newname;
switch (cflag) {
case 'o':
switch (Conversion) {
case ExtToIne:
extension=".ine"; break; /* output file for ine data */
case IneToExt: case Projection:
extension=".ext"; break; /* output file for ext data */
case FacetListing: case FacetListingExternal:
extension=".fis"; break; /* output file for facet_listing */
case VertexListing: case VertexListingExternal:
extension=".vis"; break; /* output file for vertex_listing */
case TopeListing:
extension=".tis"; break; /* output file for tope_listing */
case LPmax: case LPmin: case InteriorFind:
extension=".lps"; break; /* output file for LPmax, LPmin, interior_find */
default:
extension=".xxx";break;
}
break;
case 'a': /* decide for output adjacence */
if (Conversion==IneToExt)
extension=".ead"; /* adjacency file for ext data */
else
extension=".iad"; /* adjacency file for ine data */
break;
case 'i': /* decide for output incidence */
if (Conversion==IneToExt)
extension=".ecd"; /* ext incidence file */
else
extension=".icd"; /* ine incidence file */
break;
case 'n': /* decide for input incidence */
if (Conversion==IneToExt)
extension=".icd"; /* ine incidence file */
else
extension=".ecd"; /* ext incidence file */
break;
case 'j': /* decide for input adjacence */
if (Conversion==IneToExt)
extension=".iad"; /* ine adjacency file */
else
extension=".ead"; /* ext adjacency file */
break;
case 'l':
extension=".ddl";break; /* log file */
case 'd':
extension=".dex";break; /* decomposition output */
case 'p':
extension="sub.ine";break; /* preprojection sub inequality file */
case 'v':
extension=".solved";break; /* verify_input file */
default:
extension=".xxx";break;
}
if (FileInputMode==Manual){
while (!quit) {
printf("\n>> %s file name (*%s) : ",fscript, extension);
scanf("%s",fname);
if (fname[0]==';'|| fname[0]<'0'){
quit=True; /* default file name */
}
else if (strcmp(inputfile, fname)!=0){
goto _L99;
}
else {
printf("%s file %s must have a name different from inputfile.\n",fscript,fname);
}
}
}
/* Auto or SemiAuto FileInput */
strcpy(fname,ifilehead);
strcat(fname,extension);
if (strcmp(inputfile, fname)==0) {
strcpy(fname,inputfile);
strcat(fname,extension);
}
_L99:;
ifstream reading_tmp(fname);
if (reading_tmp.is_open()) {
if (!PostAnalysisOn || cflag !='o') {
/* rename the file only when it is not for postanalysis inputfiles nor external file */
strcpy(newname,fname);
strcat(newname,".old");
rename(fname,newname);
if (DynamicWriteOn){
printf("Default output file %s exists.\n",fname);
printf("Caution: The old file %s is renamed to %s!\n",fname,newname);
printf("Create a new file %s.\n",fname);
}
}
}
reading_tmp.close();
if (DynamicWriteOn) printf("Open %s file %s.\n",fscript,fname);
}
void SetReadFileName(DataFileType fname, char cflag, char *fscript)
{
boolean quit=False;
char *extension;
DataFileType newname;
switch (cflag) {
case 'o':
if (Conversion==ExtToIne)
extension=".ine"; /* output file for ine data */
else
extension=".ext"; /* output file for ext data, and for any other conversions */
break;
case 'x':
if (Conversion==FacetListingExternal)
extension=".ine.external"; /* external ine file */
else
extension=".ext.external"; /* external ext file */
break;
default:
extension=".xxx";break;
}
if (FileInputMode==Manual){
while (!quit) {
printf("\n>> %s file name (*%s) : ",fscript, extension);
scanf("%s",fname);
if (fname[0]==';'|| fname[0]<'0'){
quit=True; /* default file name */
}
else if (strcmp(inputfile, fname)!=0){
goto _L99;
}
else {
printf("%s file %s must have a name different from inputfile.\n",fscript,fname);
}
}
}
/* Auto or SemiAuto FileInput */
strcpy(fname,ifilehead);
strcat(fname,extension);
if (strcmp(inputfile, fname)==0) {
strcpy(fname,inputfile);
strcat(fname,extension);
}
_L99:;
if (DynamicWriteOn) printf("Open %s file %s.\n",fscript,fname);
}
void SetNumberType(string line)
{
if (line== "integer") {
Number = Rational;
InputNumberString="integer";
#ifdef RATIONAL
OutputNumberString="rational";
#else
OutputNumberString="real";
#endif
return;
}
else if (line== "rational") {
Number = Rational;
InputNumberString="rational";
OutputNumberString="rational";
#ifndef RATIONAL
// the executable cannot handle rational data so it converts to real
// modified on 1996-02-18
Number = Real;
InputNumberString="rational";
OutputNumberString="real";
#endif
return;
}
else if (line== "real") {
Number = Real;
InputNumberString="real";
OutputNumberString="real";
#ifdef RATIONAL
Error=ImproperExecutable; /* the executable cannot handle real data */
#endif
return;
}
else {
Number=Unknown;
Error=ImproperInputFormat;
}
}
void ProcessCommandLine(ifstream &f, string line)
{
colrange j;
static long var,msize, outdig=-1;
myTYPE cost=0, zero_input=-1, purezero=0;
if (debug) cout << line << "\n";
if (line=="dynout_off") {
DynamicRayWriteOn = False;
return;
}
if (line== "stdout_off") {
DynamicRayWriteOn = False;
DynamicWriteOn = False;
return;
}
if (line== "logfile_on") {
LogWriteOn = True;
return;
}
if (line== "logfile_off") {
LogWriteOn = False;
return;
}
if (line== "hull") {
Conversion = ExtToIne;
return;
}
if (line== "incidence") {
if (IncidenceOutput==InputIncidence || IncidenceOutput==IOIncidence)
IncidenceOutput=IOIncidence;
else
IncidenceOutput = OutputIncidence;
return;
}
if (line== "#incidence") {
IncidenceOutput = IncCardinality;
return;
}
if (line== "input_incidence") {
if (IncidenceOutput==OutputIncidence || IncidenceOutput==IOIncidence)
IncidenceOutput=IOIncidence;
else
IncidenceOutput = InputIncidence;
return;
}
if (line== "adjacency") {
if (AdjacencyOutput==InputAdjacency || AdjacencyOutput==IOAdjacency)
AdjacencyOutput=IOAdjacency;
else
AdjacencyOutput = OutputAdjacency;
return;
}
if (line== "input_adjacency") {
if (AdjacencyOutput==OutputAdjacency || AdjacencyOutput==IOAdjacency)
AdjacencyOutput = IOAdjacency;
else
AdjacencyOutput = InputAdjacency;
return;
}
if (line== "postanalysis") {
PostAnalysisOn=True;
return;
}
/* algebraic option is not efficient in most cases and deleted from Version 051 */
/*
if (line== "algebraic") {
AdjacencyTest = Algebraic;
return;
}
*/
if (line== "nondegenerate") {
NondegAssumed = True;
return;
}
if (line== "minindex") {
HyperplaneOrder = MinIndex;
return;
}
if (line== "maxindex") {
HyperplaneOrder = MaxIndex;
return;
}
if (line== "mincutoff") {
HyperplaneOrder = MinCutoff;
return;
}
if (line== "maxcutoff") {
HyperplaneOrder = MaxCutoff;
return;
}
if (line== "mixcutoff") {
HyperplaneOrder = MixCutoff;
return;
}
if (line== "lexmin") {
HyperplaneOrder = LexMin;
return;
}
if (line== "lexmax") {
HyperplaneOrder = LexMax;
return;
}
if (line== "random") {
HyperplaneOrder = RandomRow;
(f) >> rseed;
if (rseed <= 0) rseed = 1;
return;
}
if (line== "lineshell") {
HyperplaneOrder = LineShelling;
return;
}
if (line== "initbasis_at_bottom") {
InitBasisAtBottom = True;
return;
}
if (line== "verify_input") {
VerifyInput = True;
return;
}
if (line== "debug") {
debug = True;
return;
}
if ((line== "partial_enumeration" || line=="equality" || line=="linearity")
&& RestrictedEnumeration==False) {
(f) >> msize;
for (j=1;j<=msize;j++) {
(f) >> var;
EqualityIndex[var]=1;
}
printf("\n");
if (Conversion==Projection) {
printf("Warning: Projection is cancelled because it cannot be compatible with Partial Enumeration.\n");
Conversion=IneToExt;
}
RestrictedEnumeration=True;
return;
}
if (line== "strict_inequality" && RelaxedEnumeration==False) {
(f) >> msize;
for (j=1;j<=msize;j++) {
(f) >> var;
EqualityIndex[var]=-1;
}
printf("\n");
if (Conversion==Projection) {
printf("Warning: Projection is cancelled because it is not compatible with Partial Enumeration.\n");
Conversion=IneToExt;
}
RelaxedEnumeration=True;
return;
}
if (line== "preprojection" && Conversion != Projection) {
set_initialize(&projvars,nn);
(f) >> projdim;
if (debug) printf("dimension of projection = %ld in variables:\n",projdim);
for (j=1;j<=projdim;j++) {
(f) >> var;
if (debug) printf(" %ld",var);
if (Inequality==NonzeroRHS)
set_addelem(projvars,var+1);
else
set_addelem(projvars,var);
}
Conversion=Projection;
return;
}
if (line== "solve_rowsubproblem" && SpecialConversion!=RowSubproblemSolve) {
set_initialize(&SubproblemRowSet,minput+1);
set_initialize(&RedundantRowSet,minput+1);
if (debug) printf("solve_rowsubproblem is chosen.\n");
(f) >> msize;
for (j=1;j<=msize;j++) {
(f) >> var;
set_addelem(SubproblemRowSet,var);
}
SpecialConversion=RowSubproblemSolve;
return;
}
if (line== "maximize" && Conversion != LPmax) {
if (debug) printf("linear maximization is chosen.\n");
LPcost=new myTYPE[ninput];
for (j=0;j<ninput;j++) {
(f) >> cost;
LPcost[j]=cost;
if (debug) cout << " cost[" << j << "] = "<< LPcost[j] <<"\n";
}
Conversion=LPmax;
if (debug) {
printf("\n");
}
return;
}
if (line== "minimize" && Conversion != LPmin) {
if (debug) printf("linear minimization is chosen.\n");
LPcost=new myTYPE[ninput];
for (j=0;j<ninput;j++) {
(f) >> cost;
LPcost[j]=cost;
if (debug) cout << " cost[" << j << "] = "<< LPcost[j] <<"\n";
}
Conversion=LPmin;
if (debug) {
printf("\n");
}
return;
}
if (line== "find_interior" && Conversion != InteriorFind) {
if (debug) printf("Interior finding option is chosen.\n");
Conversion=InteriorFind;
return;
}
if (line== "facet_listing" && Conversion != LPmax && Conversion != FacetListing) {
if (debug) printf("facet_listing is chosen.\n");
Conversion=FacetListing;
return;
}
if (line== "facet_listing_external" && Conversion != LPmax && Conversion != FacetListing) {
if (debug) printf("facet_listing_external is chosen.\n");
Conversion=FacetListingExternal;
return;
}
if (line== "vertex_listing" && Conversion != LPmax && Conversion != VertexListing) {
if (debug) printf("vertex_listing is chosen.\n");
Conversion=VertexListing;
return;
}
if (line== "vertex_listing_external" && Conversion != LPmax && Conversion != VertexListingExternal) {
if (debug) printf("vertex_listing_external is chosen.\n");
Conversion=VertexListingExternal;
return;
}
if (line== "tope_listing" && Conversion != LPmax && Conversion != LPmin) {
if (debug) printf("tope_listing is chosen.\n");
Conversion=TopeListing;
return;
}
if (line== "condensed_listing") {
CondensedListOn=True;
return;
}
if (line== "signpivot") {
SignPivotOn=True;
return;
}
if (line== "CMIalgorithm") {
if (DynamicWriteOn) printf("Use the combinatorial maximum improvement method.\n");
LPsolver=CombMaxImprove; SignPivotOn=True;
return;
}
if (line== "dual_simplex") {
if (DynamicWriteOn) printf("Use the dual simplex method.\n");
LPsolver=DualSimplex;
return;
}
if (line== "criss-cross") {
if (DynamicWriteOn) printf("Use the crss-cross method.\n");
LPsolver=CrissCross;
return;
}
if (line== "manual_pivot") {
ManualPivotOn=True;
return;
}
if (line== "show_tableau" && !ShowSignTableauOn) {
if (DynamicWriteOn) printf("Sign tableau will be output to CRT.\n");
ShowSignTableauOn=True;
return;
}
if (line== "row_decomposition" && SpecialConversion!=RowDecomposition) {
if (DynamicWriteOn) printf("Row decomposition is chosen.\n");
SpecialConversion=RowDecomposition;
return;
}
if (line== "round_output_off" && Round_Output) {
if (DynamicWriteOn) printf("No rounding of output numbers.\n");
Round_Output=False;
return;
}
if (line== "zero_tolerance" && zero_input<purezero) {
(f) >> zero_input;
if (zero_input > purezero){
zero=zero_input;
if (DynamicWriteOn) cout << "zero_tolerance is reset to " << zero_input << ".\n";
}
else cout << "Warning: float_zero must be positive. Use the default =" << zero
<< ".\n";
return;
}
if (line== "output_digits" && outdig==-1) {
(f) >> outdig;
if (outdig > 0){
output_digits=outdig;
if (DynamicWriteOn) cout << "output_digits is reset to " << output_digits << ".\n";
}
else {
if (DynamicWriteOn) cout << "Warning: output_digits must be >= 1. Use the default ="
<< output_digits << ".\n";
}
return;
}
}
void WriteRayRecord(ostream &f, RayRecord *RR)
{
long j;
myTYPE scaler=0;
if (Inequality == ZeroRHS) {
(f) << " " << 0;
for (j = 0; j < nn; j++)
WriteNumber(f, RR->Ray[j]);
}
else {
scaler = FABS(RR->Ray[0]);
if (scaler > zero) {
if (RR->Ray[0] > zero) {
if (Conversion == IneToExt) {
(f) << " " << 1;
for (j = 1; j < nn; j++)
WriteNumber(f, RR->Ray[j] / scaler);
}
else {
/* hull computation is chosen */
for (j = 0; j < nn; j++)
WriteNumber(f, RR->Ray[j]);
}
}
else {
/* hull computation must have been chosen, since RR->Ray[0] is negative */
for (j = 0; j < nn; j++)
WriteNumber(f, RR->Ray[j]);
}
}
else {
(f) << " " << 0;
for (j = 1; j < nn; j++)
WriteNumber(f, RR->Ray[j]);
}
}
if (IncidenceOutput==IncCardinality) {
(f) << " : " << set_card(RR->ZeroSet);
}
(f).put('\n');
}
void WriteRayRecord2(ostream &f, RayRecord *RR)
{
long j;
(f) << " Ray = ";
for (j = 0; j < nn; j++)
(f) << RR->Ray[j];
putchar('\n');
(f) << " ZeroSet =";
set_fwrite(f, RR->ZeroSet);
(f).put('\n');
}
void WriteSubMatrixOfAA(ostream &f, rowset ChosenRow, colset ChosenCol,
InequalityType ineq)
{
long i,j;
(f) << "H-representation\n" << "begin\n";
if (ineq==ZeroRHS)
(f) << " " << set_card(ChosenRow) << " " << (set_card(ChosenCol)+1) << " " << InputNumberString << "\n";
else
(f) << " " << set_card(ChosenRow) << " " << set_card(ChosenCol) << " " << InputNumberString << "\n";
for (i=1; i <= mm; i++) {
if (set_member(i,ChosenRow)) {
if (ineq==ZeroRHS){ /* If RHS==0, output zero first */
WriteNumber(f, 0);
for (j=1; j <= nn; j++) {
if (set_member(j, ChosenCol)){
WriteNumber(f, AA[i-1][j-1]);
}
}
}
else {
for (j=1; j <= nn; j++) {
if (set_member(j, ChosenCol)){
WriteNumber(f, AA[i-1][j-1]);
}
}
}
(f) << "\n";
}
}
(f) << "end\n";
}
void WriteAmatrix(ostream &f, Amatrix A, long rowmax, long colmax,
InequalityType ineq)
{
long i,j;
(f) << "begin\n";
if (ineq==ZeroRHS)
(f) << " " << rowmax << " " << colmax+1 << " " << OutputNumberString << "\n";
else
(f) << " " << rowmax << " " << colmax << " " << OutputNumberString << "\n";
for (i=1; i <= rowmax; i++) {
if (ineq==ZeroRHS)
WriteNumber(f, 0); /* if RHS==0, the column is not explicitely stored */
for (j=1; j <= colmax; j++) {
WriteNumber(f, A[i-1][j-1]);
}
(f) << "\n";
}
(f) << "end\n";
}
void WriteNumber(ostream &f, myTYPE x)
{
#ifndef RATIONAL
long ix1,ix2,ix, i;
static myTYPE sig=100000.;
if (Round_Output){
ix1= (long) (FABS(x) * sig + 0.5);
ix2= (long) (FABS(x) + 0.5);
ix2= (long) (ix2* (long)sig);
if (ix1 == ix2) {
if (x>0) {
ix = (long) (x + 0.5);
} else {
ix = (long) (-x + 0.5);
ix = -ix;
}
(f) << " " << ix;
} else {
(f).setf(ios::scientific,ios::floatfield);
(f).precision(output_digits);
(f) << " " << x;
}
} else {
(f).setf(ios::scientific,ios::floatfield);
(f).precision(output_digits);
(f) << " " << x;
}
#else
(f) << " " << x;
#endif
}
void WriteTableau(ostream &f, Amatrix X, Bmatrix T, InequalityType ineq)
/* Write the tableau X.T */
{
colrange j;
rowrange i;
(f) << "begin\n";
if (ineq==ZeroRHS)
(f) << " " << mm << " " << (nn+1) << " real\n";
else
(f) << " " << mm << " " << nn << " real\n";
for (i=1; i<= mm; i++) {
if (ineq==ZeroRHS)
(f) << " " << 0; /* if RHS==0, the column is not explicitely stored */
for (j=1; j<= nn; j++) {
(f) << " " << TableauEntry(X,T,i,j);
}
(f) << "\n";
}
(f) << "end\n";
}
char Sign(myTYPE val)
{
if (val > zero) return '+';
else if ( val < -zero) return '-';
else return '0';
}
char intSign(int val)
{
if (val > 0) return '+';
else if ( val < 0) return '-';
else return '0';
}
void WriteSignAmatrix(ostream &f, SignAmatrix X,
rowindex OV, long bflag[], rowrange objrow, colrange rhscol)
/* Write the sign matrix X.
This works properly only for Nonhomogeneous inequality */
{
colrange j;
rowrange i,k,l;
(f) << " g|";
for (l=1; l<= mm; l++) {
j=OV[l];
if (bflag[j] >0) { /* j is nonbasic variable */
(f).width(3);
(f) << j;
}
}
(f) << "\n";
for (k=1; k<= mm; k++) {
i=OV[k];
if (bflag[i]==0) { /* i the objective variable */
(f) << " f";
(f) << " " << intSign(X[i-1][0]) << "|";
for (l=1; l<= mm; l++) {
j=OV[l];
if (bflag[j] >0) { /* j is nonbasic variable */
(f) << " " << intSign(X[i-1][bflag[j]-1]);
}
}
(f) << "\n";
}
}
(f) << " =====+";
for (j=1; j<=nn; j++) {
(f) << "===";
}
(f) << "\n";
for (k=1; k<= mm; k++) {
i=OV[k];
if (bflag[i]!=0 && bflag[i]==-1) { /* i is a basic variable */
(f).width(4);
(f) << i;
(f) << " " << intSign(X[i-1][0]) << "|";
for (l=1; l<= mm; l++) {
j=OV[l];
if (bflag[j] >0) { /* j is nonbasic variable */
(f) << " " << intSign(X[i-1][bflag[j]-1]);
}
}
(f) << "\n";
}
}
(f) << "\n";
}
void WriteSignTableau(ostream &f, Amatrix X, Bmatrix T,
rowindex OV, long bflag[], rowrange objrow, colrange rhscol)
/* Write the sign matrix of tableau X.T.
This works properly only for Nonhomogeneous inequality */
{
colrange j;
rowrange i,k,l;
(f) << " g|";
for (l=1; l<= mm; l++) {
j=OV[l];
if (bflag[j] >0) { /* j is nonbasic variable */
(f).width(3);
(f) << j;
}
}
(f) << "\n";
for (k=1; k<= mm; k++) {
i=OV[k];
if (bflag[i]==0) { /* i the objective variable */
(f) << " f";
(f) << " " << Sign(TableauEntry(X,T,i,1)) << "|";
for (l=1; l<= mm; l++) {
j=OV[l];
if (bflag[j] >0) { /* j is nonbasic variable */
(f) << " " << Sign(TableauEntry(X,T,i,bflag[j]));
}
}
(f) << "\n";
}
}
(f) << " =====+";
for (j=1; j<=nn; j++) {
(f) << "===";
}
(f) << "\n";
for (k=1; k<= mm; k++) {
i=OV[k];
if (bflag[i]!=0 && bflag[i]==-1) { /* i is a basic variable */
(f).width(4);
(f) << i;
(f) << " " << Sign(TableauEntry(X,T,i,1)) << "|";
for (l=1; l<= mm; l++) {
j=OV[l];
if (bflag[j] >0) { /* j is nonbasic variable */
(f) << " " << Sign(TableauEntry(X,T,i,bflag[j]));
}
}
(f) << "\n";
}
}
(f) << "\n";
}
void WriteDictionary(ostream &f, Amatrix X, Bmatrix T,
rowindex OV, long bflag[], colindex nbindex, rowrange objrow, colrange rhscol)
/* Write the sign matrix of tableau X.T.
This works properly only for Nonhomogeneous inequality */
{
colrange j;
rowrange i,k,l;
(f) << "\\multicolumn{2}{r}{g}";
for (j=2; j<= nn; j++) {
(f).width(3);
(f) << "&\\multicolumn{1}{r}{" << nbindex[j]<< "}\n";
}
(f) << "\\\\ \\cline{2-"<< (nn+1) << "}\n";
(f) << " g|";
for (j=2; j<= nn; j++) {
(f).width(3);
(f) << " " << nbindex[j];
}
(f) << "\\\\\n";
for (i=1; i<= mm; i++) {
if (bflag[i]==0) { /* i the objective variable */
(f) << " f";
(f) << " &" << TableauEntry(X,T,i,1) << " ";
for (j=2; j<= nn; j++) {
(f).width(3);
(f) << "&" << TableauEntry(X,T,i,j);
}
(f) << "\\\\ \\cline{2-" << (nn+1) << "}\n";
}
}
(f) << " -----+";
for (j=2; j<=nn; j++) {
(f) << "-----";
}
(f) << "\\\\\n";
for (i=1; i<= mm; i++) {
if (bflag[i]!=0 && bflag[i]==-1) { /* i is a basic variable */
(f).width(2);
(f) << " " << i;
(f).width(3);
(f) << "&" << TableauEntry(X,T,i,1) << " ";
for (j=2; j<= nn; j++) {
(f).width(3);
(f) << "&" << TableauEntry(X,T,i,j);
}
(f) << "\\\\\n";
}
}
(f) << "\\cline{2-" << (nn+1) << "}\n";
(f) << "\\multicolumn{" << nn+1 << "}{r}{}\\\\\n";
}
void WriteBmatrix(ostream &f, Bmatrix T)
{
colrange j1, j2;
for (j1 = 0; j1 < nn; j1++) {
for (j2 = 0; j2 < nn; j2++) {
f << " " << T[j1][j2];
} /*of j2*/
f.put('\n');
} /*of j1*/
f.put('\n');
}
void WriteIncidence(ostream &f, RayRecord *RR)
{
rowset cset;
long zcar;
set_initialize(&cset,mm);
zcar = set_card(RR->ZeroSet);
switch (IncidenceOutput) {
case IncCardinality:
(f) << " : " << zcar;
break;
case OutputIncidence: case IOIncidence:
if (mm - zcar >= zcar) {
(f) << " " << zcar << " : ";
set_fwrite(f, RR->ZeroSet);
} else {
set_diff(cset, GroundSet, RR->ZeroSet);
(f) << " " << (zcar - mm) << " : ";
set_fwrite(f, cset);
}
break;
case IncOff:
break;
}
(f).put('\n');
set_free(&cset);
}
void WriteInputIncidence(ostream &f, Aincidence Aicd, rowrange i)
{
set_type cset;
long zcar;
set_initialize(&cset,RayCount);
zcar = set_card(Aicd[i-1]);
if (RayCount - zcar >= zcar) {
(f) << " " << zcar << " :";
set_fwrite(f, Aicd[i-1]);
} else {
set_compl(cset, Aicd[i-1]);
(f) << " " << (zcar - RayCount) << " :";
set_fwrite(f, cset);
}
(f).put('\n');
set_free(&cset);
}
void OutputHeading(void)
{
cout << "* cdd+: Double Description Method:" << DDVERSION << "\n";
cout << "* "<< COPYRIGHT << "\n";
cout << "* "<< ARITHMETIC << "\n";
cout << "----------------------------------------------\n";
cout << " Enumeration of all vertices and extreme rays\n";