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cddio.c
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cddio.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 0.61, December 1, 1997
*/
/* 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 "setoper.h" /* set operation library header (Ver. March 16,1995 or later) */
#include "cdddef.h"
#include "cdd.h"
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include <math.h>
#include <string.h>
void SetInputFile(FILE **f, 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 or *.ext) : ");
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);
}else{
strcpy(ifilehead, inputfile);
}
if (debug){
printf("inputfile name: %s\n", inputfile);
printf("inputfile name head: %s\n", ifilehead);
printf("semicolon pos: %d\n", semipos);
}
if ( ( *f = fopen(inputfile, "r") )!= NULL) {
if (DynamicWriteOn) printf("input file %s is open\n", inputfile);
opened=TRUE;
*success=TRUE;
}
else{
printf("The file %s not found\n",inputfile);
if (FileInputMode==Auto) {
quit=TRUE;
}
}
}
}
void SetWriteFile(FILE **f, 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 LPmax: case LPmin: case InteriorFind:
extension=".lps"; break; /* output file for LPmax, LPmin, interior_find */
default:
extension=".out";break;
}
break;
case 'a':
if (Conversion==IneToExt)
extension=".ead"; /* adjacency file for ext data */
else
extension=".iad"; /* adjacency file for ine data */
break;
case 'i':
if (Conversion==IneToExt)
extension=".ecd"; /* ext incidence file */
else
extension=".icd"; /* ine incidence file */
break;
case 'l':
extension=".ddl";break;
case 'd':
extension=".dex";break; /* decomposition output */
case 'p':
extension="sub.ine";break;
case 'v':
extension=".solved";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){
*f = fopen(fname, "w");
if (DynamicWriteOn) printf("write file %s is open\n",fname);
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(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);
}
/* strcpy(fname,inputfile);
strcat(fname,extension);
*/
}
*f = fopen(fname, "w");
if (DynamicWriteOn) printf("%s file %s is open\n",fscript,fname);
_L99:;
}
void SetNumberType(char *line)
{
if (strncmp(line, "integer", 7)==0) {
Number = Integer;
return;
}
else if (strncmp(line, "rational", 8)==0) {
Number = Rational;
Error=ImproperInputFormat; /* Rational Input not supported */
return;
}
else if (strncmp(line, "real", 4)==0) {
Number = Integer;
return;
}
else {
Number=Unknown;
Error=ImproperInputFormat;
}
}
void ProcessCommandLine(rowrange m_input, colrange n_input, char *line)
{
colrange j;
long var,msize;
double cost;
if (strncmp(line, "dynout_off", 10)==0) {
DynamicRayWriteOn = FALSE;
return;
}
if (strncmp(line, "stdout_off", 10)==0) {
DynamicRayWriteOn = FALSE;
DynamicWriteOn = FALSE;
return;
}
if (strncmp(line, "logfile_on", 10)==0) {
LogWriteOn = TRUE;
return;
}
if (strncmp(line, "logfile_off", 11)==0) {
LogWriteOn = FALSE;
return;
}
if (strncmp(line, "hull", 4)==0) {
Conversion = ExtToIne;
return;
}
if (strncmp(line, "incidence", 9)==0) {
IncidenceOutput = IncSet;
return;
}
if (strncmp(line, "#incidence", 10)==0) {
IncidenceOutput = IncCardinality;
return;
}
if (strncmp(line, "adjacency", 9)==0) {
AdjacencyOutput = AdjacencyList;
return;
}
if (strncmp(line, "#adjacency", 10)==0) {
AdjacencyOutput = AdjacencyDegree;
fscanf(reading,"%ld", &msize);
set_initialize(&CheckPoints, m_input+1);
for (j=1;j<=msize;j++) {
fscanf(reading,"%ld",&var);
if (var <= m_input+1) set_addelem(CheckPoints,var);
}
return;
}
/* algebraic option is not efficient in most cases and deleted from Version 051 */
/*
if (strncmp(line, "algebraic", 9)==0) {
AdjacencyTest = Algebraic;
return;
}
*/
if (strncmp(line, "nondegenerate", 14)==0) {
NondegAssumed = TRUE;
return;
}
if (strncmp(line, "minindex", 8)==0) {
HyperplaneOrder = MinIndex;
return;
}
if (strncmp(line, "maxindex", 8)==0) {
HyperplaneOrder = MaxIndex;
return;
}
if (strncmp(line, "mincutoff", 9)==0) {
HyperplaneOrder = MinCutoff;
return;
}
if (strncmp(line, "maxcutoff", 9)==0) {
HyperplaneOrder = MaxCutoff;
return;
}
if (strncmp(line, "mixcutoff", 9)==0) {
HyperplaneOrder = MixCutoff;
return;
}
if (strncmp(line, "lexmin", 6)==0) {
HyperplaneOrder = LexMin;
return;
}
if (strncmp(line, "lexmax", 6)==0) {
HyperplaneOrder = LexMax;
return;
}
if (strncmp(line, "random", 6)==0) {
HyperplaneOrder = RandomRow;
fscanf(reading,"%d", &rseed);
if (rseed <= 0) rseed = 1;
return;
}
if (strncmp(line, "lineshell", 9)==0) {
HyperplaneOrder = LineShelling;
return;
}
if (strncmp(line, "initbasis_at_bottom", 19)==0) {
InitBasisAtBottom = TRUE;
return;
}
if (strncmp(line, "verify_input", 12)==0) {
VerifyInput = TRUE;
return;
}
if (strncmp(line, "output_reordered", 16)==0 && !OutputReordered){
printf("* The reordered problem will be generated.\n");
OutputReordered=TRUE;
return;
}
if (strncmp(line, "debug", 5)==0) {
debug = TRUE;
return;
}
if ((strncmp(line, "partial_enum", 12)==0 || strncmp(line, "equality", 8)==0)
&& RestrictedEnumeration==FALSE) {
fscanf(reading,"%ld", &msize);
for (j=1;j<=msize;j++) {
fscanf(reading,"%ld",&var);
EqualityIndex[var]=1;
}
printf("\n");
if (Conversion==Projection) {
printf("Warning: Partial Projection is cancelled because it cannot be compatible with Partial Enumeration.\n");
Conversion=IneToExt;
}
RestrictedEnumeration=TRUE;
return;
}
if (strncmp(line, "strict_ineq", 11)==0 && RelaxedEnumeration==FALSE) {
fscanf(reading,"%ld", &msize);
for (j=1;j<=msize;j++) {
fscanf(reading,"%ld",&var);
EqualityIndex[var]=-1;
}
printf("\n");
if (Conversion==Projection) {
printf("Warning: Partial Projection is cancelled because it cannot be compatible with Partial Enumeration.\n");
Conversion=IneToExt;
}
RelaxedEnumeration=TRUE;
return;
}
if (strncmp(line, "preprojection", 13)==0 && Conversion != Projection) {
set_initialize(&projvars,n_input);
fscanf(reading,"%ld", &projdim);
if (debug) printf("dimension of projection = %ld in variables:\n",projdim);
for (j=1;j<=projdim;j++) {
fscanf(reading,"%ld",&var);
if (debug) printf(" %ld",var);
if (Inequality==NonzeroRHS)
set_addelem(projvars,var+1);
else
set_addelem(projvars,var);
}
Conversion=Projection;
return;
}
if (strncmp(line, "maximize", 8)==0 && Conversion != LPmax) {
if (debug) printf("linear maximization is chosen.\n");
for (j=0;j<n_input;j++) {
fscanf(reading,"%lf",&cost);
LPcost[j]=cost;
if (debug) printf(" cost[%ld] = %.9E\n",j,LPcost[j]);
}
Conversion=LPmax;
if (debug) {
printf("\n");
}
return;
}
if (strncmp(line, "minimize", 8)==0 && Conversion != LPmin) {
if (debug) printf("linear minimization is chosen.\n");
for (j=0;j<n_input;j++) {
fscanf(reading,"%lf",&cost);
LPcost[j]=cost;
if (debug) printf(" cost[%ld] = %.9E\n",j,LPcost[j]);
}
Conversion=LPmin;
if (debug) {
printf("\n");
}
return;
}
if (strncmp(line, "dual_simplex", 12)==0 && LPsolver != DualSimplex) {
if (DynamicWriteOn) printf("Use the dual simplex method.\n");
LPsolver=DualSimplex;
return;
}
if (strncmp(line, "criss-cross", 9)==0 && LPsolver != CrissCross) {
if (DynamicWriteOn) printf("Use the crss-cross method.\n");
LPsolver=CrissCross;
return;
}
if (strncmp(line, "find_interior", 13)==0 && Conversion != InteriorFind) {
printf("Interior finding option is chosen.\n");
Conversion=InteriorFind;
return;
}
if (strncmp(line, "row_decomp", 10)==0 && !RowDecomposition) {
printf("Row decomposition is chosen.\n");
RowDecomposition=TRUE;
return;
}
}
void AmatrixInput(rowrange *m_input, colrange *n_input,
rowrange *m_size, colrange *n_size, Amatrix A, boolean *successful)
{
long i,j;
double value;
long value1,value2;
boolean found=FALSE,decided=FALSE, fileopened, newformat=FALSE;
char command[wordlenmax], numbtype[wordlenmax], stemp[wordlenmax], line[linelenmax];
*successful = FALSE;
SetInputFile(&reading, &fileopened);
if (!fileopened){
Error=FileNotFound;
goto _L99;
}
while (!found)
{
if (fscanf(reading,"%s",command)==EOF) {
Error=ImproperInputFormat;
goto _L99;
}
else {
if (strncmp(command, "V-representation", 16)==0) {
Conversion = ExtToIne; newformat=TRUE;
} else if (strncmp(command, "H-representation", 16)==0){
Conversion =IneToExt; newformat=TRUE;
} else if (strncmp(command, "begin", 5)==0) found=TRUE;
}
}
fscanf(reading, "%ld %ld %s", m_input, n_input, numbtype);
printf("size = %ld x %ld\nNumber Type = %s\n", *m_input, *n_input, numbtype);
SetNumberType(numbtype);
if (Number==Unknown || Number == Rational) {
goto _L99;
}
Inequality=ZeroRHS;
for (i=1; i<= *m_input && !decided; i++) {
fscanf(reading,"%lf", &value);
if (fabs(value) > zero) {
Inequality = NonzeroRHS;
decided=TRUE;
}
for (j=2; j<= *n_input; j++) {
fscanf(reading,"%lf", &value);
}
fgets(line,linelenmax,reading);
if (debug) printf("comments to be skipped: %s\n",line);
if (debug) putchar('\n');
}
if (Inequality==NonzeroRHS) {
printf("Nonhomogeneous system with m = %5ld n = %5ld\n", *m_input, *n_input);
*n_size = *n_input;
}
else {
printf("Homogeneous system with m = %5ld n = %5ld\n", *m_input, *n_input);
*n_size = *n_input-1;
}
if (*n_size > NMAX || *m_input > MMAX) {
Error = DimensionTooLarge;
goto _L99;
}
RestrictedEnumeration = FALSE;
RelaxedEnumeration = FALSE;
EqualityIndex=(long *)calloc(*m_input+2, sizeof *EqualityIndex);
for (i = 0; i <= *m_input+1; i++) EqualityIndex[i]=0;
while (!feof(reading)) {
fscanf(reading,"%s", command);
ProcessCommandLine(*m_input, *n_input, command);
}
fclose(reading);
reading=fopen(inputfile, "r");
found=FALSE;
while (!found)
{
if (!feof(reading)) {
fscanf(reading,"%s",command);
if (strncmp(command, "begin", 5)==0) {
found=TRUE;
}
}
else {
Error=ImproperInputFormat;
goto _L99;
}
}
fscanf(reading, "%ld %ld %s", &value1, &value2, stemp);
for (i = 1; i <= *m_input; i++) {
A[i-1]=(double *) calloc(*n_input, sizeof value);
for (j = 1; j <= *n_input; j++) {
fscanf(reading, "%lf", &value);
if (Inequality==NonzeroRHS)
A[i-1][j - 1] = value;
else if (j>=2) {
A[i-1][j - 2] = value;
}
if (debug) printf("a(%3ld,%5ld) = %10.4f\n",i,j,value);
} /*of j*/
fgets(line,linelenmax,reading);
if (debug) printf("comments to be skipped: %s\n",line);
if (debug) putchar('\n');
} /*of i*/
if (fscanf(reading,"%s",command)==EOF) {
Error=ImproperInputFormat;
goto _L99;
}
else if (strncmp(command, "end", 3)!=0) {
if (debug) printf("'end' missing or illegal extra data: %s\n",command);
Error=ImproperInputFormat;
goto _L99;
}
switch (Conversion) {
case IneToExt:
if (Inequality==NonzeroRHS){
*m_size = *m_input + 1;
A[*m_size-1]=(double *) calloc(*n_input, sizeof value);
for (j = 1; j <= *n_input; j++) { /*artificial row for x_1 >= 0*/
if (j == 1)
A[*m_size - 1][j - 1] = 1.0;
else
A[*m_size - 1][j - 1] = 0.0;
}
} else {
*m_size = *m_input;
}
break;
case ExtToIne:
*m_size = *m_input;
break;
case LPmax: case LPmin:
*m_size = *m_input + 1;
OBJrow=*m_size;
RHScol=1L;
A[*m_size-1]=(double *) calloc(*n_input, sizeof value);
for (j = 1; j <= *n_input; j++) { /*objective row */
A[*m_size - 1][j - 1] = LPcost[j-1];
}
break;
default:
*m_size = *m_input;
}
SetInequalitySets(*m_size, EqualityIndex);
*successful = TRUE;
_L99: ;
if (reading!=NULL) fclose(reading);
}
void WriteRayRecord(FILE *f, colrange n_size, RayRecord *RR)
{
long j;
double scaler;
if (Inequality == ZeroRHS) {
fprintf(f, " %2d", 0);
for (j = 0; j < n_size; j++)
WriteReal(f, RR->Ray[j]);
}
else {
scaler = fabs(RR->Ray[0]);
if (scaler > zero) {
if (RR->Ray[0] > 0) {
if (Conversion == IneToExt) {
fprintf(f, " %2d", 1);
for (j = 1; j < n_size; j++)
WriteReal(f, RR->Ray[j] / scaler);
}
else {
/* hull computation is chosen */
for (j = 0; j < n_size; j++)
WriteReal(f, RR->Ray[j]);
}
}
else {
/* hull computation must have been chosen, since RR->Ray[0] is negative */
for (j = 0; j < n_size; j++)
WriteReal(f, RR->Ray[j]);
}
}
else {
fprintf(f, " %2d", 0);
for (j = 1; j < n_size; j++)
WriteReal(f, RR->Ray[j]);
}
}
if (IncidenceOutput==IncCardinality) {
fprintf(f," : %1ld", set_card(RR->ZeroSet));
}
putc('\n', f);
}
void WriteRayRecord2(FILE *f, colrange n_size, RayRecord *RR)
{
long j;
fprintf(f, " Ray = ");
for (j = 0; j < n_size; j++)
fprintf(f, "%6.2f", RR->Ray[j]);
putchar('\n');
fprintf(f, " ZeroSet =");
set_fwrite(f, RR->ZeroSet);
putc('\n', f);
}
void WriteSubMatrixOfA(FILE *f, rowrange m_size, colrange n_size, Amatrix A,
rowset ChosenRow, colset ChosenCol, InequalityType ineq)
{
long i,j;
fprintf(f, "H-representation\nbegin\n");
if (ineq==ZeroRHS)
fprintf(f, " %ld %ld real\n",m_size, set_card(ChosenCol)+1);
else
fprintf(f, " %ld %ld real\n",m_size, set_card(ChosenCol));
for (i=1; i <= m_size; i++) {
if (set_member(i,ChosenRow)) {
if (ineq==ZeroRHS){ /* If RHS==0, output zero first */
WriteReal(f, 0);
for (j=1; j <= n_size; j++) {
if (set_member(j, ChosenCol)){
WriteReal(f, A[i-1][j-1]);
}
}
}
else {
for (j=1; j <= n_size; j++) {
if (set_member(j, ChosenCol)){
WriteReal(f, A[i-1][j-1]);
}
}
}
fprintf(f,"\n");
}
}
fprintf(f,"end\n");
}
void WriteAmatrix(FILE *f, Amatrix A, long rowmax, long colmax,
InequalityType ineq)
{
long i,j;
fprintf(f, "begin\n");
if (ineq==ZeroRHS)
fprintf(f, " %ld %ld real\n",rowmax, colmax+1);
else
fprintf(f, " %ld %ld real\n",rowmax, colmax);
for (i=1; i <= rowmax; i++) {
if (ineq==ZeroRHS)
WriteReal(f, 0); /* if RHS==0, the column is not explicitely stored */
for (j=1; j <= colmax; j++) {
WriteReal(f, A[i-1][j-1]);
}
fprintf(f,"\n");
}
fprintf(f, "end\n");
}
void WriteAmatrix2(FILE *f, Amatrix A, long rowmax, long colmax,
InequalityType ineq, rowindex OV, rowrange iteration)
{ /* Writing an A matrix with a given ordering and size */
long i,j,imax;
imax=iteration;
if (imax>rowmax) imax=rowmax;
fprintf(f, "begin\n");
if (ineq==ZeroRHS)
fprintf(f, " %ld %ld real\n",imax, colmax+1);
else
fprintf(f, " %ld %ld real\n",imax, colmax);
for (i=1; i <= imax; i++) {
if (ineq==ZeroRHS)
WriteReal(f, 0); /* if RHS==0, the column is not explicitely stored */
for (j=1; j <= colmax; j++) {
WriteReal(f, A[OV[i]-1][j-1]);
}
fprintf(f," #%1ld\n", OV[i]);
}
fprintf(f, "end\n");
}
void WriteBmatrix(FILE *f, colrange n_size, Bmatrix T)
{
colrange j1, j2;
for (j1 = 0; j1 < n_size; j1++) {
for (j2 = 0; j2 < n_size; j2++) {
fprintf(f, "%15.7f ", T[j1][j2]);
} /*of j2*/
putc('\n', f);
} /*of j1*/
putc('\n', f);
}
void WriteReal(FILE *f, double x)
{
long ix1,ix2,ix;
ix1= fabs(x) * 10000. + 0.5;
ix2= (fabs(x) + 0.5);
ix2= ix2*10000;
if ( ix1 == ix2) {
if (x>0) {
ix = x + 0.5;
} else {
ix = -x + 0.5;
ix = -ix;
}
fprintf(f, " %2ld", ix);
} else
fprintf(f, " % .9E", x);
}
void WriteIncidence(FILE *f, rowrange m_size, colrange n_size, RayRecord *RR)
{
rowset cset;
long zcar;
set_initialize(&cset,m_size);
zcar = set_card(RR->ZeroSet);
switch (IncidenceOutput) {
case IncCardinality:
fprintf(f, " : %1ld", zcar);
break;
case IncSet:
if (m_size - zcar >= zcar) {
fprintf(f, " %1ld : ", zcar);
set_fwrite(f, RR->ZeroSet);
} else {
set_diff(cset, GroundSet, RR->ZeroSet);
fprintf(f, " %1ld : ", zcar - m_size);
set_fwrite(f, cset);
}
break;
case IncOff:
break;
}
set_free(cset);
}
void WriteHeading(void)
{
WriteProgramDescription(stdout);
printf("----------------------------------------------\n");
printf(" Enumeration of all vertices and extreme rays\n");
printf(" of a convex polyhedron P={ x : b - A x >= 0}\n");
printf(" Use hull option for convex hull computation!\n");
printf("----------------------------------------------\n");
}
void WriteProgramDescription(FILE *f)
{
fprintf(f, "* cdd: Double Description Method C-Code:%s\n", DDVERSION);
fprintf(f,"* %s\n",COPYRIGHT);
}
void WriteRunningMode(FILE *f)
{
if (Conversion==IneToExt || Conversion==ExtToIne || Conversion==Projection){
switch (HyperplaneOrder) {
case MinIndex:
fprintf(f, "*HyperplaneOrder: MinIndex\n");
break;
case MaxIndex:
fprintf(f, "*HyperplaneOrder: MaxIndex\n");
break;
case MinCutoff:
fprintf(f, "*HyperplaneOrder: MinCutoff\n");
break;
case MaxCutoff:
fprintf(f, "*HyperplaneOrder: MaxCutoff\n");
break;
case MixCutoff:
fprintf(f, "*HyperplaneOrder: MixCutoff\n");
break;
case LexMin:
fprintf(f, "*HyperplaneOrder: LexMin\n");
break;
case LexMax:
fprintf(f, "*HyperplaneOrder: LexMax\n");
break;
case RandomRow:
fprintf(f, "*HyperplaneOrder: Random, Seed = %d\n",rseed);
break;
case LineShelling:
fprintf(f, "*HyperplaneOrder: LineShelling\n");
break;
}
if (NondegAssumed) {
fprintf(f, "*Degeneracy preknowledge for computation: NondegenerateAssumed\n");
}
else {
fprintf(f, "*Degeneracy preknowledge for computation: None (possible degeneracy)\n");
}
}
switch (Conversion) {
case ExtToIne:
fprintf(f, "*Hull computation is chosen.\n");
break;
case IneToExt:
fprintf(f, "*Vertex/Ray enumeration is chosen.\n");
break;
case LPmax:
fprintf(f, "*LP (maximization) is chosen.\n");
break;
case LPmin:
fprintf(f, "*LP (minimization) is chosen.\n");
break;
case Projection:
fprintf(f, "*Preprojection is chosen.\n");
break;
default: break;
}
if (RestrictedEnumeration) {
fprintf(f, "*The equality option is chosen.\n* => Permanently active rows are:");
set_fwrite(f,EqualitySet);
fprintf(f,"\n");
}
if (RelaxedEnumeration) {
fprintf(f, "*The strict_inequality option is chosen.\n* => Permanently nonactive rows are:");
set_fwrite(f,NonequalitySet);
fprintf(f,"\n");
}
}
void WriteRunningMode2(FILE *f, rowrange m_size, colrange n_size)
{
long j;
if (Conversion==IneToExt || Conversion==ExtToIne){
switch (HyperplaneOrder) {
case MinIndex:
fprintf(f, "minindex\n");
break;
case MaxIndex:
fprintf(f, "maxindex\n");
break;
case MinCutoff:
fprintf(f, "mincutoff\n");
break;
case MaxCutoff:
fprintf(f, "maxcutoff\n");
break;
case MixCutoff:
fprintf(f, "mixcutoff\n");
break;
case LexMin:
fprintf(f, "lexmin\n");
break;
case LexMax:
fprintf(f, "lexmax\n");
break;
case RandomRow:
fprintf(f, "random %d\n",rseed);
break;
case LineShelling:
fprintf(f, "lineshelling\n");
break;
}
if (NondegAssumed) {
fprintf(f, "nondegenerate\n");
}
}
switch (Conversion) {
case ExtToIne:
fprintf(f, "hull\n");
break;
case LPmax:
fprintf(f, "maximize\n");
for (j=0; j<n_size; j++) WriteReal(f,LPcost[j]);
fprintf(f,"\n");
break;
case LPmin:
fprintf(f, "minimize\n");
for (j=0; j<n_size; j++) WriteReal(f,LPcost[j]);
fprintf(f,"\n");
break;
case Projection:
fprintf(f, "*Preprojection is chosen.\n");
break;
default: break;
}
if (RestrictedEnumeration) {
fprintf(f, "equality ");
set_fwrite(f,EqualitySet);
fprintf(f,"\n");
}
if (RelaxedEnumeration) {
fprintf(f, "strict_inequality ");
set_fwrite(f,NonequalitySet);
fprintf(f,"\n");
}
}
void WriteRunningMode0(FILE *f)
{
switch (Conversion) {
case ExtToIne:
fprintf(f, "V-representation\n");
break;
case IneToExt: case LPmax: case LPmin: case Projection:
fprintf(f, "H-representation\n");
break;
default: break;
}
}
void WriteCompletionStatus(FILE *f, rowrange m_size, colrange n_size, rowrange iter)
{
if (iter<m_size && CompStatus==AllFound) {
fprintf(f,"*Computation completed at Iteration %4ld.\n", iter);
}
if (CompStatus == RegionEmpty) {
fprintf(f,"*Computation completed at Iteration %4ld because the region found empty.\n", iter);
}
}
void WriteTimes(FILE *f)
{
long ptime,ptime_sec,ptime_minu, ptime_hour;
/* ptime=difftime(endtime,starttime); */ /* This function is ANSI standard, but not available sometime */
ptime=endtime-starttime; /* This is to replace the line above, but it may not give correct time in seconds */
ptime_hour=ptime/3600;
ptime_minu=(ptime-ptime_hour*3600)/60;
ptime_sec=ptime%60;
fprintf(f, "*Computation starts at %s", asctime(localtime(&starttime)));
fprintf(f, "* terminates at %s", asctime(localtime(&endtime)));
fprintf(f, "*Total processor time = %ld seconds\n", ptime);
fprintf(f, "* = %ld hour %ld min %ld sec\n", ptime_hour,ptime_minu,ptime_sec);
}
void WriteAdjacencyDegree(FILE *f, rowrange m_input, colrange n_input,
rowrange m_size, colrange n_size, Amatrix A, rowrange iter)
{
RayRecord *RayPtr1, *RayPtr2;
long pos1, pos2, deg, feasdeg, icd, feasicd;
double totaldeg=0.0, totalfeasdeg=0.0, totalfeasicd=0.0, averfeasicd, averdeg, averfeasdeg;
boolean adj;
switch (Conversion) {
case IneToExt:
fprintf(f,"*Adjacency Degree of output (=vertices/rays)\n");
fprintf(f,"*vertex/ray#, icd#, curr icd#, adj#, feas adj#\n");
break;
case ExtToIne:
fprintf(f,"*Adjacency Degree of output (=inequalities=facets)\n");
fprintf(f,"*facet#, icd#, curr icd#, adj#, feas adj#\n");
break;
default:
break;
}
fprintf(f, "*cdd input file : %s (%4ld x %4ld)\n",
inputfile, m_input, n_input);
fprintf(f, "*At iteration = %ld\n", iter);
fprintf(f,"begin\n");
fprintf(f," %ld\n",RayCount);
if (RayCount==0){
goto _L99;
}
LastRay->Next=NULL;
for (RayPtr1=FirstRay, pos1=1;RayPtr1 != NULL; RayPtr1 = RayPtr1->Next, pos1++){
for (RayPtr2=FirstRay, pos2=1,deg=0,feasdeg=0;RayPtr2 != NULL; RayPtr2 = RayPtr2->Next, pos2++){
if (RayPtr1!=RayPtr2){