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cddarith_r.C
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cddarith_r.C
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/* cddarith.C: Arithmetic 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" */
myTYPE FABS(myTYPE x)
{
myTYPE pure_zero=0;
if (x < pure_zero) return -x; else return x;
}
void SetInequalitySets(rowindex id)
{
long i;
static long mprev=0;
boolean localdebug=False;
if (mprev!=mm){
if (localdebug) printf("SetInequalitySets: initializing inequality sets.\n");
if (GroundSet!=NULL) set_free(&GroundSet);
if (EqualitySet!=NULL) set_free(&EqualitySet);
if (NonequalitySet!=NULL) set_free(&NonequalitySet);
set_initialize(&EqualitySet, mm);
set_initialize(&NonequalitySet, mm);
set_initialize(&GroundSet, mm);
}
if (localdebug && mprev==mm) printf("SetInequalitySets: Resetting inequality sets.\n");
set_emptyset(GroundSet);
set_emptyset(EqualitySet);
set_emptyset(NonequalitySet);
for (i = 1; i <= mm; i++){
set_addelem(GroundSet, i);
if (id[i]==1) set_addelem(EqualitySet,i);
if (id[i]==-1) set_addelem(NonequalitySet,i);
}
mprev=mm;
}
void CheckAdjacency1(RayRecord **RP1, RayRecord **RP2,
boolean *adjacent)
{
long rank;
*adjacent = True;
set_int(Face1, (*RP1)->ZeroSet, (*RP2)->ZeroSet);
set_int(Face, Face1, AddedHyperplanes);
if (debug)
printf("Check adjacency\n");
if (set_card(Face)< nn - 2) {
*adjacent = False;
return;
}
else if (NondegAssumed) {
*adjacent = True;
return;
}
ComputeRank(AA,Face,&rank);
if (rank < nn - 2){
*adjacent = False;
}
}
void CheckAdjacency2(RayRecord **RP1, RayRecord **RP2,
boolean *adjacent)
{
RayRecord *TempRay;
boolean localdebug=False;
if (debug) localdebug=True;
*adjacent = True;
set_int(Face1, (*RP1)->ZeroSet, (*RP2)->ZeroSet);
set_int(Face, Face1, AddedHyperplanes);
if (localdebug){
printf("Check adjacency of\n");
WriteRayRecord(cout, *RP1);
WriteRayRecord(cout, *RP2);
}
if (set_card(Face)< nn - 2) {
*adjacent = False;
if (localdebug) {
printf("non adjacent: set_card(face) %ld < %ld = nn.\n",
set_card(Face),nn);
}
return;
}
else if (NondegAssumed) {
*adjacent = True;
return;
}
TempRay = FirstRay;
while (TempRay != NULL && *adjacent) {
if (TempRay != *RP1 && TempRay != *RP2) {
set_int(Face1, TempRay->ZeroSet, AddedHyperplanes);
if (set_subset(Face, Face1)) *adjacent = False;
}
TempRay = TempRay->Next;
}
}
void Eliminate(RayRecord **Ptr)
{
/*eliminate the record pointed by Ptr^.Next*/
RayRecord *TempPtr;
if (debug) {
printf(" Delete:");
WriteRayRecord(cout, (*Ptr)->Next);
}
TempPtr = (*Ptr)->Next;
(*Ptr)->Next = (*Ptr)->Next->Next;
if (TempPtr == FirstRay) /*Update the first pointer*/
FirstRay = (*Ptr)->Next;
if (TempPtr == LastRay) /*Update the last pointer*/
LastRay = *Ptr;
delete[] TempPtr->Ray; /* free the ray vector memory */
delete TempPtr->ARay; /* free the Axray value memory */
set_free(&(TempPtr->ZeroSet)); /* free the ZeroSet memory */
delete TempPtr; /* free the RayRecord structure memory */
RayCount--;
}
void SelectNextHyperplane0(unsigned long *excluded, rowrange *hnext)
{
/*A natural way to choose the next hyperplane. Simply the largest index*/
long i;
boolean determined;
i = mm;
determined = False;
do {
if (set_member(i, excluded))
i--;
else
determined = True;
} while (!determined && i>=1);
if (determined)
*hnext = i;
else
*hnext = 0;
}
void SelectNextHyperplane1(unsigned long *excluded, rowrange *hnext)
{
/*Natural way to choose the next hyperplane. Simply the least index*/
long i;
boolean determined;
i = 1;
determined = False;
do {
if (set_member(i, excluded))
i++;
else
determined = True;
} while (!determined && i<=mm);
if (determined)
*hnext = i;
else
*hnext=0;
}
void SelectNextHyperplane2(unsigned long *excluded, rowrange *hnext)
{
/*Choose the next hyperplane with maximum infeasibility*/
long i, fea, inf, infmin, fi=0; /*feasibility and infeasibility numbers*/
infmin = RayCount + 1;
for (i = 1; i <= mm; i++) {
if (!set_member(i, excluded)) {
FeasibilityIndices(&fea, &inf, i);
if (inf < infmin) {
infmin = inf;
fi = fea;
*hnext = i;
}
}
}
if (DynamicWriteOn) {
cout << "*infeasible rays (min) = " << infmin << ", #feas rays =" << fi << "\n";
}
}
void SelectNextHyperplane3(unsigned long *excluded, rowrange *hnext)
{
/*Choose the next hyperplane with maximum infeasibility*/
long i, fea, inf, infmax, fi=0; /*feasibility and infeasibility numbers*/
infmax = -1;
for (i = 1; i <= mm; i++) {
if (!set_member(i, excluded)) {
FeasibilityIndices(&fea, &inf, i);
if (inf > infmax) {
infmax = inf;
fi = fea;
*hnext = i;
}
}
}
if (DynamicWriteOn) {
cout << "*infeasible rays (max) = " << infmax << ", #feas rays =" << fi << "\n";
}
}
void SelectNextHyperplane4(unsigned long *excluded, rowrange *hnext)
{
/*Choose the next hyperplane with the most unbalanced cut*/
long i, fea, inf, max, tmax, fi=0, infi=0;
/*feasibility and infeasibility numbers*/
max = -1;
for (i = 1; i <= mm; i++) {
if (!set_member(i, excluded)) {
FeasibilityIndices(&fea, &inf, i);
if (fea <= inf)
tmax = inf;
else
tmax = fea;
if (tmax > max) {
max = tmax;
fi = fea;
infi = inf;
*hnext = i;
}
}
}
if (!DynamicWriteOn)
return;
if (max == fi) {
cout << "*infeasible rays (min) = " << infi << ", #feas rays =" << fi << "\n";
} else {
cout << "*infeasible rays (max) = " << infi << ", #feas rays =" << fi << "\n";
}
}
void SelectNextHyperplane5(unsigned long *excluded, rowrange *hnext)
{
/*Choose the next hyperplane which is lexico-min*/
long i, minindex;
myTYPE *v1, *v2;
minindex = 0;
v1 = NULL;
for (i = 1; i <= mm; i++) {
if (!set_member(i, excluded)) {
v2 = AA[i - 1];
if (minindex == 0) {
minindex = i;
v1=v2;
} else if (LexSmaller(v2,v1,nn)) {
minindex = i;
v1=v2;
}
}
}
*hnext = minindex;
}
void SelectNextHyperplane6(unsigned long *excluded, rowrange *hnext)
{
/*Choose the next hyperplane which is lexico-max*/
long i, maxindex;
myTYPE *v1, *v2;
maxindex = 0;
v1 = NULL;
for (i = 1; i <= mm; i++) {
if (!set_member(i, excluded)) {
v2= AA[i - 1];
if (maxindex == 0) {
maxindex = i;
v1=v2;
} else if (LexLarger(v2, v1, nn)) {
maxindex = i;
v1=v2;
}
}
}
*hnext = maxindex;
}
long Partition(rowindex OV, long p, long r, Amatrix A, long nmax)
{
myTYPE *x;
long i,j,ovi;
x=A[OV[p]-1];
i=p-1;
j=r+1;
while (True){
do{
j--;
} while (LexLarger(A[OV[j]-1],x,nmax));
do{
i++;
} while (LexSmaller(A[OV[i]-1],x,nmax));
if (i<j){
ovi=OV[i];
OV[i]=OV[j];
OV[j]=ovi;
}
else{
return j;
}
}
}
void QuickSort(rowindex OV, long p, long r, Amatrix A, long nmax)
{
long q;
if (p < r){
q = Partition(OV, p, r, A, nmax);
QuickSort(OV, p, q, A, nmax);
QuickSort(OV, q+1, r, A, nmax);
}
}
#ifndef RAND_MAX
#define RAND_MAX 32767
#endif
void RandomPermutation(rowindex OV, long t, unsigned int seed)
{
long k,j,ovj;
double u,xk,r,rand_max=(double) RAND_MAX;
boolean localdebug=False;
srand(seed);
for (j=t; j>1 ; j--) {
r=rand();
u=r/rand_max;
xk=j*u +1;
k=(long)xk;
if (localdebug) printf("u=%lg, k=%ld, r=%lg, randmax= %lg\n",u,k,r,rand_max);
ovj=OV[j];
OV[j]=OV[k];
OV[k]=ovj;
if (localdebug) printf("row %ld is exchanged with %ld\n",j,k);
}
}
void UpdateRowOrderVector(unsigned long *PriorityRows)
/* Update the RowOrder vector to shift selected rows
in highest order.
*/
{
rowrange i,j,k,j1=0,oj=0;
long rr;
boolean found, localdebug=False;
if (debug) localdebug=True;
found=True;
rr=set_card(PriorityRows);
if (localdebug) set_write(PriorityRows);
for (i=1; i<=rr; i++){
found=False;
for (j=i; j<=mm && !found; j++){
oj=OrderVector[j];
if (set_member(oj, PriorityRows)){
found=True;
if (localdebug) printf("%ldth in sorted list (row %ld) is in PriorityRows\n", j, oj);
j1=j;
}
}
if (found){
if (j1>i) {
/* shift everything lower: OV[i]->OV[i+1]..OV[j1-1]->OV[j1] */
for (k=j1; k>=i; k--) OrderVector[k]=OrderVector[k-1];
OrderVector[i]=oj;
if (localdebug){
printf("OrderVector updated to:\n");
for (j = 1; j <= mm; j++) printf(" %2ld", OrderVector[j]);
printf("\n");
}
}
} else {
printf("UpdateRowOrder: Error.\n");
goto _L99;
}
}
_L99:;
}
void SelectPreorderedNext(unsigned long *excluded, rowindex OV, rowrange *hnext)
{
rowrange i,k;
*hnext=0;
for (i=1; i<=mm && *hnext==0; i++){
k=OV[i];
if (!set_member(k, excluded)) *hnext=k ;
}
}
void SelectNextHyperplane(HyperplaneOrderType ho,
unsigned long *excluded, rowrange *hh, boolean *RefreshOrderVector)
{
if (PreOrderedRun){
if (debug) {
printf("debug SelectNextHyperplane: Use PreorderNext\n");
}
SelectPreorderedNext(excluded, OrderVector, hh);
}
else {
if (debug) {
printf("debug SelectNextHyperplane: Use DynamicOrderedNext\n");
}
switch (ho) {
case MaxIndex:
SelectNextHyperplane0(excluded,hh);
break;
case MinIndex:
SelectNextHyperplane1(excluded,hh);
break;
case MinCutoff:
SelectNextHyperplane2(excluded,hh);
break;
case MaxCutoff:
SelectNextHyperplane3(excluded, hh);
break;
case MixCutoff:
SelectNextHyperplane4(excluded, hh);
break;
default:
SelectNextHyperplane0(excluded,hh);
break;
}
}
}
myTYPE AValue(myTYPE *p, rowrange i)
{
/*return the ith component of the vector A x p */
colrange j;
myTYPE temp=0;
temp = 0;
for (j = 0; j < nn; j++)
temp = temp + AA[i - 1][j] * p[j];
return temp;
}
void StoreRay1(myTYPE *p, RayRecord *RR, boolean *feasible)
{ /* Original ray storing routine when RelaxedEnumeration is False */
rowrange i,k,fii=mm+1;
colrange j;
myTYPE temp=0;
boolean localdebug=False;
if (debug) localdebug=True;
*feasible = True;
set_initialize(&(RR->ZeroSet),mm);
if (localdebug) cout << "StoreRay1: RR->ARay will be set.\n";
*(RR->ARay) = 0;
if (localdebug) cout << "StoreRay1: RR->ARay is set to " << RR->ARay <<"\n";
for (j = 0; j < nn; j++)
RR->Ray[j] = p[j];
if (localdebug) cout << "StoreRay1: RR->Ray[j] are set.\n";
for (i = 1; i <= mm; i++) {
k=OrderVector[i];
temp = AValue(p, k);
if (FABS(temp) <= zero)
set_addelem(RR->ZeroSet, k);
if (temp < -zero){
*feasible = False;
if (fii>mm) fii=i; /* the first violating inequality index */
}
}
RR->FirstInfeasIndex=fii;
RR->feasible = *feasible;
if (localdebug)
if (fii<= mm)
printf("StoreRay1:store ray with fii= %ld (row =%ld)\n", fii,OrderVector[fii]);
else
printf("StoreRay1:store ray with fii= %ld (feasible=%d)\n", fii,*feasible);
}
void StoreRay2(myTYPE *p, RayRecord *RR,
boolean *feasible, boolean *weaklyfeasible)
/* Ray storing routine when RelaxedEnumeration is True.
weaklyfeasible is true iff it is feasible with
the strict_inequality conditions deleted. */
{
rowrange i,k,fii=mm+1;
colrange j;
myTYPE temp=0;
boolean localdebug=False;
if (debug) localdebug=True;
*feasible = True;
*weaklyfeasible = True;
set_initialize(&(RR->ZeroSet),mm);
*(RR->ARay) = 0;
for (j = 0; j < nn; j++)
RR->Ray[j] = p[j];
for (i = 1; i <= mm; i++) {
k=OrderVector[i];
temp = AValue(p, k);
if (FABS(temp) <= zero){
set_addelem(RR->ZeroSet, k);
if (EqualityIndex[k]==-1)
*feasible=False; /* strict inequality required */
}
if (temp < -zero){
*feasible = False;
if (fii>mm && EqualityIndex[k]>=0) {
fii=i; /* the first violating inequality index */
*weaklyfeasible=False;
}
}
}
RR->FirstInfeasIndex=fii;
RR->feasible = *feasible;
if (localdebug) {
if (fii<= mm)
printf("StoreRay2:store ray with fii= %ld (row =%ld)\n", fii,OrderVector[fii]);
else
printf("StoreRay2:store ray with fii= %ld (weaklyfeasible=%d)\n", fii,*weaklyfeasible);
if (*weaklyfeasible) WriteRayRecord(cout,RR);
}
}
void ConditionalAddEdge(RayRecord *Ray1, RayRecord *Ray2, RayRecord *ValidFirstRay)
{
long it,it_row,fii1,fii2,fmin,fmax;
boolean adjacent,lastchance;
RayRecord *TempRay,*Rmin,*Rmax;
AdjacencyRecord *NewEdge;
boolean localdebug=False;
rowset ZSmin, ZSmax;
fii1=Ray1->FirstInfeasIndex;
fii2=Ray2->FirstInfeasIndex;
if (fii1<fii2){
fmin=fii1; fmax=fii2;
Rmin=Ray1;
Rmax=Ray2;
}
else{
fmin=fii2; fmax=fii1;
Rmin=Ray2;
Rmax=Ray1;
}
ZSmin = Rmin->ZeroSet;
ZSmax = Rmax->ZeroSet;
if (localdebug) {
printf("ConditionalAddEdge: FMIN = %ld (row%ld) FMAX=%ld\n",
fmin,OrderVector[fmin], fmax);
}
if (fmin==fmax){
if (localdebug) printf("ConditionalAddEdge: equal FII value-> No edge added\n");
}
else if (set_member(OrderVector[fmin],ZSmax)){
if (localdebug) printf("ConditionalAddEdge: No strong separation -> No edge added\n");
}
else { /* the pair will be separated at the iteration fmin */
lastchance=True;
/* flag to check it will be the last chance to store the edge candidate */
set_int(Face1, ZSmax, ZSmin);
count_int++;
if (localdebug){
printf("Face: ");
for (it=1; it<=mm; it++) {
it_row=OrderVector[it];
if (set_member(it_row, Face1)) printf("%ld ",it_row);
}
printf("\n");
}
for (it=Iteration+1; it < fmin && lastchance; it++){
it_row=OrderVector[it];
if (EqualityIndex[it_row]>=0 && set_member(it_row, Face1)){
lastchance=False;
count_int_bad++;
if (localdebug){
printf("There will be another chance iteration %ld (row %ld) to store the pair\n", it, it_row);
}
}
}
if (lastchance){
adjacent = True;
count_int_good++;
/* adjacent checking */
set_int(Face, Face1, AddedHyperplanes);
if (localdebug){
printf("Check adjacency\n");
printf("AddedHyperplanes: "); set_write(AddedHyperplanes);
printf("Face: ");
for (it=1; it<=mm; it++) {
it_row=OrderVector[it];
if (set_member(it_row, Face)) printf("%ld ",it_row);
}
printf("\n");
}
if (set_card(Face)< nn - 2) {
adjacent = False;
}
else if (NondegAssumed) {
adjacent = True;
}
else{
TempRay = ValidFirstRay; /* the first ray for adjacency checking */
while (TempRay != NULL && adjacent) {
if (TempRay != Ray1 && TempRay != Ray2) {
set_int(Face1, TempRay->ZeroSet, AddedHyperplanes);
if (set_subset(Face, Face1)) {
if (localdebug) set_write(Face1);
adjacent = False;
}
}
TempRay = TempRay->Next;
}
}
if (adjacent){
if (localdebug) printf("The pair is adjacent and the pair must be stored for iteration %ld (row%ld)\n",
fmin, OrderVector[fmin]);
NewEdge=(struct AdjacencyRecord *) malloc(sizeof *NewEdge);
NewEdge->Ray1=Rmax; /* save the one remains in iteration fmin in the first */
NewEdge->Ray2=Rmin; /* save the one deleted in iteration fmin in the second */
NewEdge->Next=NULL;
EdgeCount++;
TotalEdgeCount++;
if (Edges[fmin]==NULL){
Edges[fmin]=NewEdge;
if (localdebug) printf("Create a new edge list of %ld\n", fmin);
}else{
NewEdge->Next=Edges[fmin];
Edges[fmin]=NewEdge;
}
}
}
}
}
void CreateInitialEdges(void)
{
RayRecord *Ptr1, *Ptr2;
rowrange fii1,fii2;
long count=0;
boolean localdebug=False;
if (FirstRay ==NULL || LastRay==NULL){
printf("Error found: CreateInitialEdges called with NULL pointer(s)\n");
goto _L99;
}
Ptr1=FirstRay;
while(Ptr1!=LastRay && Ptr1!=NULL){
fii1=Ptr1->FirstInfeasIndex;
Ptr2=Ptr1->Next;
while(Ptr2!=NULL){
fii2=Ptr2->FirstInfeasIndex;
count++;
if (localdebug) printf("CreateInitialEdges: edge %ld \n",count);
if (fii1!=fii2) ConditionalAddEdge(Ptr1,Ptr2,FirstRay);
Ptr2=Ptr2->Next;
}
Ptr1=Ptr1->Next;
}
_L99:;
}
void UpdateEdges(RayRecord *RRbegin, RayRecord *RRend)
/* This procedure must be called after the ray list is sorted
by EvaluateARay2 so that FirstInfeasIndex's are monotonically
increasing.
*/
{
RayRecord *Ptr1, *Ptr2begin, *Ptr2;
rowrange fii1;
boolean ptr2found,quit,localdebug=False;
long count=0,pos1, pos2;
float workleft,prevworkleft=110.0,totalpairs;
totalpairs=(ZeroRayCount-1.0)*(ZeroRayCount-2.0)+1.0;
Ptr2begin = NULL;
if (RRbegin ==NULL || RRend==NULL){
if (1) printf("Warning: UpdateEdges called with NULL pointer(s)\n");
goto _L99;
}
Ptr1=RRbegin;
pos1=1;
do{
ptr2found=False;
quit=False;
fii1=Ptr1->FirstInfeasIndex;
pos2=2;
for (Ptr2=Ptr1->Next; !ptr2found && !quit; Ptr2=Ptr2->Next,pos2++){
if (Ptr2->FirstInfeasIndex > fii1){
Ptr2begin=Ptr2;
ptr2found=True;
}
else if (Ptr2==RRend) quit=True;
}
if (ptr2found){
quit=False;
for (Ptr2=Ptr2begin; !quit ; Ptr2=Ptr2->Next){
count++;
if (localdebug) printf("UpdateEdges: edge %ld \n",count);
ConditionalAddEdge(Ptr1,Ptr2,RRbegin);
if (Ptr2==RRend || Ptr2->Next==NULL) quit=True;
}
}
Ptr1=Ptr1->Next;
pos1++;
workleft = 100.0 * (ZeroRayCount-pos1) * (ZeroRayCount - pos1-1.0) / totalpairs;
if (ZeroRayCount>=500 && DynamicWriteOn && pos1%10 ==0 && prevworkleft-workleft>=10 ) {
cout << "*Work of iteration " << Iteration << "(/" << mm << "):"
<< pos1 << "/" << ZeroRayCount << " => ";
cout.width(4); cout << workleft; cout << "% left\n";
prevworkleft=workleft;
}
}while(Ptr1!=RRend && Ptr1!=NULL);
_L99:;
}
void FreeDDMemory(void)
{
RayRecord *Ptr, *PrevPtr;
long count;
boolean localdebug=False;
PrevPtr=ArtificialRay;
count=0;
for (Ptr=ArtificialRay->Next; Ptr!=NULL; Ptr=Ptr->Next){
if (!PostAnalysisOn) delete[] PrevPtr->Ray;
delete PrevPtr->ARay;
free(PrevPtr->ZeroSet);
delete PrevPtr;
count++;
PrevPtr=Ptr;
};
LastRay=NULL;
FirstRay=NULL;
ArtificialRay=NULL;
if (localdebug) printf("%ld ray storage spaces freed\n",count);
set_free(&InitialHyperplanes);
set_free(&AddedHyperplanes);
set_free(&GroundSet);
set_free(&Face);
set_free(&Face1);
free(OrderVector);
RayCount = 0;
TotalRayCount = 0;
FeasibleRayCount = 0;
WeaklyFeasibleRayCount = 0;
VertexCount = 0;
}
void Normalize(myTYPE *V)
{
long j;
myTYPE min=0, temp=0;
min = 1.0e+20;
for (j = 0; j < nn; j++) {
temp = FABS(V[j]);
if (temp > zero && temp < min)
min = temp;
}
for (j = 0; j < nn; j++)
V[j] /= min;
}
void ZeroIndexSet(myTYPE *x, rowset ZS)
{
rowrange i;
myTYPE temp=0;
set_emptyset(ZS);
for (i = 1; i <= mm; i++) {
temp = AValue(x, i);
if (FABS(temp) <= zero)
set_addelem(ZS, i);
}
}
void FindInitialRays(rowset InitHyperplanes,
Bmatrix InitRays, colindex PivRow, boolean *found)
{
Bmatrix BInverse;
rowset CandidateRows;
long i, j, rank;
HyperplaneOrderType roworder=LexMin;
*found = False;
set_initialize(&CandidateRows, mm);
if (InitBasisAtBottom==True) {
roworder=MaxIndex;
PreOrderedRun=False;
}
else PreOrderedRun=True;
for (i = 1; i <= mm; i++)
if (!set_member(i,NonequalitySet)) set_addelem(CandidateRows, i);
/*all rows not in NonequalitySet are candidates for initial cone*/
if (DynamicWriteOn)
printf("*Computing an initial set of rays\n");
InitializeBmatrix(BInverse);
FindBasis(AA, roworder, InitHyperplanes, PivRow, BInverse, &rank);
if (debug) {
printf("FindInitialBasis: InitHyperplanes=");
set_write(InitHyperplanes);
for (j = 1; j <= nn; j++)
printf("Pivotrow[%ld] = %ld \n", j, PivRow[j]);
printf("nn = %ld, rank = %ld\n",nn,rank);
}
/* The case of rank==nn-1 is not treated properly and deleted
on Jun 8, 1996. Check cddbag960531
*/
/*if (rank < nn-1) { */
if (rank <= nn-1) {
if (debug) WriteBmatrix(cout,BInverse);
Error = LowColumnRank;
return;
}
if (!set_subset(EqualitySet,InitHyperplanes)) {
Error = DependentMarkedSet;
return;
}
*found = True;
if (debug) {
WriteBmatrix(cout,BInverse);
}
/* free_Bmatrix(InitRays); */
CopyBmatrix(BInverse,InitRays);
if (debug) WriteBmatrix(cout,InitRays);
set_free(&CandidateRows);
if (HyperplaneOrder==MaxCutoff||HyperplaneOrder==MinCutoff||HyperplaneOrder==MixCutoff){
PreOrderedRun=False;
} else PreOrderedRun=True;
}
void CheckEquality(RayRecord **RP1, RayRecord **RP2, boolean *equal)
{
long j;
myTYPE two=2;
if (debug)
printf("Check equality of two rays\n");
*equal = True;
j = 1;
while (j <= nn && *equal) {
if (FABS((*RP1)->Ray[j - 1] - (*RP2)->Ray[j - 1]) > two * zero)
*equal = False;
j++;
}
if (*equal)
printf("Equal records found !!!!\n");
}
void CreateNewRay(RayRecord *Ptr1, RayRecord *Ptr2, rowrange ii)
{
/*Create a new ray by taking a linear combination of two rays*/
colrange j;
myTYPE v1=0, v2=0;
myTYPE *vec1;
vec1 = new myTYPE[nn];
v1 = FABS(AValue(Ptr1->Ray, ii));
v2 = FABS(AValue(Ptr2->Ray, ii));
for (j = 0; j < nn; j++)
vec1[j] = Ptr1->Ray[j] * v2 + Ptr2->Ray[j] * v1;
Normalize(vec1);
AddRay(vec1);
if (debug){
WriteRayRecord(cout,Ptr1);
WriteRayRecord(cout,Ptr2);
printf("create a new ray by eliminating %ld:\n",ii);
WriteRayRecord(cout,LastRay);
}
delete[] vec1;
}
void EvaluateARay1(rowrange i)
/* Evaluate the ith component of the vector A x RD.Ray
and rearrange the linked list so that
the infeasible rays with respect to i will be
placed consecutively from First
*/
{
colrange j;
myTYPE temp=0;
RayRecord *Ptr, *PrevPtr, *TempPtr;
Ptr = FirstRay;
PrevPtr = ArtificialRay;
if (PrevPtr->Next != Ptr) {
printf("Error. Artificial Ray does not point to FirstRay!!!\n");
}
while (Ptr != NULL) {
temp = 0;
for (j = 0; j < nn; j++)
temp = temp + AA[i - 1][j] * Ptr->Ray[j];
*(Ptr->ARay) = temp;
// if ( temp <= -zero && Ptr != FirstRay) {
if ( temp < -zero && Ptr != FirstRay) {
/* printf("Moving an infeasible record w.r.t. %ld to FirstRay\n",i); */
if (Ptr==LastRay) LastRay=PrevPtr;
TempPtr=Ptr;
Ptr = Ptr->Next;
PrevPtr->Next = Ptr;
ArtificialRay->Next = TempPtr;
TempPtr->Next = FirstRay;
FirstRay = TempPtr;
}
else {
PrevPtr = Ptr;
Ptr = Ptr->Next;
}
}
}
void EvaluateARay2(rowrange i)
/* Evaluate the ith component of the vector A x RD.Ray
and rearrange the linked list so that
the infeasible rays with respect to i will be
placed consecutively from First. Also for all feasible rays,
"positive" rays and "zero" rays will be placed consecutively.
*/
{
colrange j;
myTYPE temp=0;
RayRecord *Ptr, *NextPtr;
boolean zerofound=False,negfound=False,posfound=False;
PosHead=NULL;ZeroHead=NULL;NegHead=NULL;
PosLast=NULL;ZeroLast=NULL;NegLast=NULL;
Ptr = FirstRay;
while (Ptr != NULL) {
NextPtr=Ptr->Next; /* remember the Next record */
Ptr->Next=NULL; /* then clear the Next pointer */
temp = 0;
for (j = 0; j < nn; j++)
temp = temp + AA[i - 1][j] * Ptr->Ray[j];
*(Ptr->ARay) = temp;
if ( temp < -zero) {
if (!negfound){
negfound=True;
NegHead=Ptr;
NegLast=Ptr;
}
else{
Ptr->Next=NegHead;
NegHead=Ptr;
}
}
else if (temp > zero){
if (!posfound){
posfound=True;
PosHead=Ptr;
PosLast=Ptr;
}
else{
Ptr->Next=PosHead;
PosHead=Ptr;