/*This implements the MC21 perfect matching*/
match_size_t FindPerfectMatch(Match_t *M,SparseGraph *G){
unsigned int match_size=0;
assert(G && M);
node_t n = G->order;
node_t *colind=G->colind;colind--;
node_t *rowptr=G->rowptr;rowptr--;
node_t *m = M->m;m--;
BitArray_t *col_marker = CreateBitArray(n);
BitArray_t *matched_row = CreateBitArray(n);
node_t *p = (node_t *) malloc(sizeof(node_t)*n);p--;
node_t *m_inv = (node_t *) malloc(sizeof(node_t)*n);m_inv--;
node_t i,j,k,i1,jend;node_t m_inv_prev;char aug_extend=0;
match_size=0;
for(i=1;i<=n;i++){
m_inv[i]=0;
}
for(j=1;j<=n;j++){
if(m[j]){
m_inv[m[j]]=j;
match_size++;
}
}
for(i=1;i<=n;i++){
/*Augmenting path at any unmatched node*/
if(m_inv[i]){
continue;
}
i1 = i; p[i1]=0; jend=0;
ResetAllBits(col_marker);
while(i1 && !jend){
for(k=0;k<(rowptr[i1+1]-rowptr[i1]);k++){
j = colind[rowptr[i1]+k];
if(!m[j]){
jend=j;
break;
}
}
if(jend){
/*Found an unmatched node*/
break;
}
aug_extend=0;
for(k=0;k<(rowptr[i1+1]-rowptr[i1]) && !jend;k++){
j = colind[rowptr[i1]+k];
if(!CheckBit(col_marker,j) && m[j]){
p[m[j]]=i1;
m_inv[m[j]]=j;
SetBit(col_marker,j);
i1 = m[j];
aug_extend = 1;
break;
}
}
if(!aug_extend){
/*Unable to find a unmarked matched node*/
i1 = p[i1];
}
}
if(i1){
/*Augmenting path is found so augment*/
j = jend;
printf("Augmenting the path {");
while(i1){
m_inv_prev = m_inv[i1];
m[j] = i1; m_inv[i1] = j;
printf("(%u,%u)",i1,j);
j = m_inv_prev;
i1 = p[i1];
}
printf("}\n");
match_size++;
printf("Match Size: %u\n",match_size);
}else{
/*the matching is maximum*/
break;
}
}
FreeBitArray(col_marker); FreeBitArray(matched_row);
free(++m_inv); free(++p);
printf("Done freeing\n");
return match_size;
}
WaMMHashReturn UpdateOneMemoryBlock(WaMMhashState *pState, const BitSequence *pData, long lBitsInBlock, const int rounds)
{
WaMMHashReturn retVal = WaMM_FAIL;
BitArray *pBitArrayIncomingData = NULL;
/* a negative bit length is an error */
if (0 > lBitsInBlock)
{
retVal = WaMM_ERORR_NEGATVELEN_BITARRAY;
}
else if (0 < lBitsInBlock)
{
if (NULL != pState)
{
if (IsHashLengthSupported(pState->hashbitlen))
{
if (NULL != pData)
{
// retVal = InitWaMMVector(pState->InputVector);
retVal = InitWaMMVector(pState->InputVector);
if (WaMM_SUCCESS == retVal)
{
/* convert incoming bit sequence into a BitArray struct */
pBitArrayIncomingData = BitArrayFromBitSequence(lBitsInBlock, pData);
if (NULL != pBitArrayIncomingData)
{
/* Add the BitArray of the incoming bits to pUnprocessedBitArray */
retVal = ConcatenateBitArray(pState->pUnprocessedBitArray, pBitArrayIncomingData);
if (WaMM_SUCCESS == retVal)
{
/* while full vectors of data exist within the incoming data
* transfer the full vectors to the and hash them
*/
while ((WaMM_VectorLength_Bits <= pState->pUnprocessedBitArray->lNumBits) &&
(WaMM_SUCCESS == retVal))
{
retVal = PopWholeVectorFromBitArray( pState->pUnprocessedBitArray, pState->InputVector);
if (WaMM_SUCCESS == retVal)
{
retVal = WaMMRoundFunction(pState, rounds);
pState->BitsProcessed += WaMM_VectorLength_Bits;
}
}
}
FreeBitArray(pBitArrayIncomingData);
}
else
{
retVal = WaMM_ERORR_MALLOC_BITARRAY;
}
}
}
else
{
retVal = WaMM_ERORR_NULL_HASHDATA_POINTER;
}
}
else
{
retVal = WaMM_BAD_HASHLENGTH;
}
}
else
{
retVal = WaMM_ERORR_NULL_STATE_POINTER;
}
}
else
{
/* Processing Zero Incoming bits is a NULL operation. the state matrix is unchanged. */
retVal = WaMM_SUCCESS;
}
return retVal;
}
size_t WeightedMatching(RowStarts *rowptr,ColIndices *colind,ValueType *C,
ValueType *C1,ValueType *dist,ValueType *u,ValueType *v,Indices *p,
Indices *m_inv,Indices *m, Indices n,CompareFunction cmpFunc){
size_t i,j,i1,jend,k,m_inv_prev;
size_t match_size=0;
ValueType curr_shortest_path = (ValueType)0;
ValueType curr_aug_path = GetMaxTypeValue<ValueType>();
ValueType dist1; Indices itrace;
BitArray_t *col_marker = CreateBitArray(n);
BitArray_t *heap_marker = CreateBitArray(n);
C--;m--;C1--;dist--;u--;v--;p--;m_inv--;
rowptr--;colind--;
#if BINARY_HEAP
Heap *bin_heap = NewBinaryHeap(cmpFunc,n,GetDistKeyID);
ValueType *dist_ptr = NULL;
#endif
assert(C1 && dist && u && v && p);
ComputeInitialExtremeMatch<ValueType,Indices>(u,v,C1,C,m,m_inv,colind,rowptr,n,dist);
match_size=0;
for(i=1;i<=n;i++){
if(m_inv[i]){
match_size++;
continue;
}
/*
*Aim is to find a value for jend such that the path
*from i-->jend is the shortest
*/
i1 = i; p[i1] = 0; jend=0; itrace=i;
ResetAllBits(col_marker);
ResetAllBits(heap_marker);
#if BINARY_HEAP
bin_heap->n = 0;
dist_base = (unsigned long)&(dist[1]);
#endif
curr_shortest_path=(ValueType)0;
curr_aug_path=GetMaxTypeValue<ValueType>();
while(1){
for(k=rowptr[i1];k<rowptr[i1+1];k++){
j = colind[k];
if(CheckBit(col_marker,j)){
continue;
}
dist1 = curr_shortest_path + C1[k];
/*Prune any dist1's > curr_aug_path, since
*all the costs>0
*/
if(*((long long int *)&dist1) < *((long long int *)&curr_aug_path)){
if(!m[j]){
/*we need itrace because, the last i1 which
*we explore may not actually give the shortest
*augmenting path.*/
jend = j; itrace = i1;
curr_aug_path = dist1;
}else if(*((long long int *)&dist1) < *((long long int *)&(dist[j]))){
/*Update the dist*/
dist[j] = dist1; p[m[j]] = i1;
#if SIMPLE_HEAP
SetBit(heap_marker,j);
#elif BINARY_HEAP
if(CheckBit(heap_marker,j)){
DecreaseKey(bin_heap,j);
}else{
InsertHeap(bin_heap,&(dist[j]));
SetBit(heap_marker,j);
}
#endif
}
}
}
if(*((long long int *)&curr_aug_path) <= *((long long int *)&curr_shortest_path)){
break;
}
/*We now have a heap of matched cols, so pick the min*/
#ifdef SIMPLE_HEAP
j = SimplePickMin(heap_marker,dist,n);
if(j){
curr_shortest_path = dist[j];
UnsetBit(heap_marker,j);
#elif BINARY_HEAP
dist_ptr = (ValueType *) HeapDelete(bin_heap);
if(dist_ptr){
assert((unsigned long)dist_ptr >= (unsigned long)&dist[1]);
j = ((((unsigned long)dist_ptr -
(unsigned long)&dist[1]))/sizeof(double))+1;
assert(j>=1 && j<=n);
curr_shortest_path = dist[j];
UnsetBit(heap_marker,j);
#endif
SetBit(col_marker,j);
i1 = m[j];
}else{
break;
}
}
if(jend){ /*We found a shortest augmenting path*/
j=jend;
node_t itrace_prev;
//printf("Shortest augmenting Path {");
while(itrace){
m_inv_prev = m_inv[itrace];
m[j] = itrace; m_inv[itrace]=j;
//printf("(%u,%u)",itrace,j);
j=m_inv_prev;
itrace_prev = itrace;
itrace = p[itrace];
if(itrace){
// printf("(%u,%u)",itrace_prev,m_inv_prev);
}
}
match_size++;
//printf("}\n");
/*Update the cost with new match m*/
for(j=1;j<=n;j++){
if(CheckBit(col_marker,j)){
u[j] = (u[j]+dist[j])-curr_aug_path;
/*Reset the dist values*/
}
}
for(i1=1;i1<=n;i1++){
if(!m_inv[i1]) continue;
j = m_inv[i1];
for(k=rowptr[i1];k<rowptr[i1+1];k++){
if(colind[k] == j){
v[i1] = C[k] - u[j];
}
}
}
/*Update the cost*/
for(i1=1;i1<=n;i1++){
for(k=rowptr[i1];k<rowptr[i1+1];k++){
j = colind[k];
C1[k] = C[k]-(u[j]+v[i1]);
}
/*The index should be j rather than i1 but just
*avoiding another loop*/
dist[i1] = GetMaxTypeValue<double>();
}
}
}
FreeBitArray(col_marker);
FreeBitArray(heap_marker);
#ifdef BINARY_HEAP
FreeHeap(bin_heap);
#endif
return match_size;
}
/*O(n) time picking the maximum from the heap_marker */
node_t SimplePickMin(BitArray_t *bit_heap,double *dist,node_t n){
node_t min_j=0;node_t j;
double curr_min = MAX_DOUBLE_VALUE;
for(j=1;j<=n;j++){
if(CheckBit(bit_heap,j) && dist[j] < curr_min){
min_j = j;
curr_min = dist[j];
}
}
return min_j;
}
size_t WeightedMatching(RowStarts rowptr,ColIndices colind,ValueTypePtr C,
ValueTypePtr dist,ValueTypePtr u,ValueTypePtr v,Indices *p,
Indices *m_inv,Indices *m, Indices n,CompareFunction cmpFunc){
typedef typename std::iterator_traits<ValueTypePtr>::value_type ValueType;
Indices i,j,i1,jend,k,m_inv_prev;
Indices match_size=0; Indices k0,j0;
ValueType curr_shortest_path = (ValueType)0;
ValueType curr_aug_path = GetMaxTypeValue<ValueType>(curr_aug_path);
ValueType dist1; Indices itrace;
/*Cost of the edges in the match if
*$(i,j) \in M$ then $clabel[i] = C[i][j]$*/
Indices *clabel = new Indices[n];
Indices *aug_label = new Indices[n];
Indices *update_stack = new Indices[n];
Indices update_stack_index;
/*Save The Operations on the Heap.*/
Indices save_heap_index;
Indices *save_heap_op = new Indices[n];
#ifdef TURN_ON_SAVE_HEAP
double close_factor = (double)1.0 + (double)1.0e-16;
#endif
/*Force the write back to memory to avoid floating point issues*/
ValueType force_mem_write[3];
#ifndef NO_LOCAL_PROFILING
CreateProfilingClocks();
#endif
/*Core Profiling Clock*/
Clock *core_clk = CreateClock();
#ifdef USE_BIT_ARRAY
BitArray_t *col_marker = CreateBitArray(n);
BitArray_t *heap_marker = CreateBitArray(n);
#else
Indices *col_marker = new Indices[n];
unsigned int *heap_marker = NULL;
col_marker--;
for(i=1;i<=n;i++){ /*Do we need Initialization?*/
col_marker[i] = (Indices)0;
}
#endif
#if BINARY_HEAP
Heap *bin_heap = NewBinaryHeap(cmpFunc,n,GetDistKeyID);
ValueType *dist_ptr = NULL;
heap_marker = bin_heap->keyMap;
#endif
/*Algorithm Uses 1-Indexing to be consistent*/
C--;m--;dist--;u--;v--;p--;m_inv--;
rowptr--;colind--;clabel--;save_heap_op--;
update_stack--;aug_label--;
assert(dist && u && v && p);
ComputeInitialExtremeMatch<ValueType,Indices>(u,v,clabel,C,m,m_inv,colind,
rowptr,n,dist);
match_size=0;
StartClock(core_clk);
for(i=1;i<=n;i++){
if(m_inv[i]){
match_size++;
continue;
}
/*
*Aim is to find a value for jend such that the path
*from i-->jend is the shortest
*/
i1 = i; p[i1] = 0; jend=0; itrace=i;
#ifdef USE_BIT_ARRAY
ResetAllBits(col_marker);
ResetAllBits(heap_marker);
#endif
#if BINARY_HEAP
bin_heap->n = 0;
dist_base = (unsigned long)&(dist[1]);
#endif
curr_shortest_path=(ValueType)0;
curr_aug_path=GetMaxTypeValue<ValueType>(curr_aug_path);
save_heap_index = (Indices)0;
update_stack_index = (Indices)0;
while(1){
for(k=rowptr[i1]+1;k<(rowptr[i1+1]+1);k++){
j = colind[k]+1;
#ifdef USE_BIT_ARRAY
if(CheckBit(col_marker,j)){
#else
if(col_marker[j]==i){
#endif
continue;
}
force_mem_write[k%3] = C[k]-(v[i1]+u[j]);
dist1 = curr_shortest_path + force_mem_write[k%3];
/*Prune any dist1's > curr_aug_path, since
*all the costs>0
*/
if(dist1 < curr_aug_path){
if(!m[j]){
/*we need itrace because, the last i1 which
*we explore may not actually give the shortest
*augmenting path.*/
jend = j; itrace = i1;
curr_aug_path = dist1;
aug_label[j] = k;
}else if(dist1 < dist[j]){
/*Update the dist*/
dist[j] = dist1; p[m[j]] = i1;
aug_label[j] = k;
#if SIMPLE_HEAP
#ifdef USE_BIT_ARRAY
SetBit(heap_marker,j);
#else
heap_marker[j] = i;
#endif
#elif BINARY_HEAP /*SIMPLE_HEAP*/
#ifdef USE_BIT_ARRAY
if(CheckBit(heap_marker,j)){
#else
if(heap_marker[j]){
#endif
#ifndef NO_LOCAL_PROFILING
StartClock(hupdate_clk);
#endif
/*Call the decrease Key Operation*/
DecreaseKey(bin_heap,j);
#ifndef NO_LOCAL_PROFILING
StopClock(hupdate_clk);
hupdate_ticks += GetClockTicks(hupdate_clk);
#endif
}
#ifdef TURN_ON_SAVE_HEAP
else if(curr_shortest_path &&
dist[j] <= (curr_shortest_path)*(close_factor)){
/*If dist[j] is close to root push it in
*save_heap_op*/
assert(save_heap_index < n);
save_heap_op[++save_heap_index] = j;
}
#endif
else{
#ifndef NO_LOCAL_PROFILING
StartClock(hins_clk);
#endif
InsertHeap(bin_heap,&(dist[j]));
#ifndef NO_LOCAL_PROFILING
StopClock(hins_clk);
hins_ticks += GetClockTicks(hins_clk);
#endif
#ifdef USE_BIT_ARRAY
SetBit(heap_marker,j);
#endif
}
#endif /*SIMPLE_HEAP*/
}
}
}
if(curr_aug_path <= curr_shortest_path){
break;
}
/*We now have a heap of matched cols, so pick the min*/
#ifdef SIMPLE_HEAP
j = SimplePickMin(heap_marker,dist,n);
if(j){
curr_shortest_path = dist[j];
UnsetBit(heap_marker,j);
#elif BINARY_HEAP
#ifndef NO_LOCAL_PROFILING
StartClock(hdel_clk);
#endif
if(save_heap_index){
j = save_heap_op[save_heap_index];
save_heap_index--;
curr_shortest_path = dist[j];
#ifdef USE_BIT_ARRAY
SetBit(col_marker,j);
#else
col_marker[j] = (Indices)i;
update_stack[++update_stack_index]=j;
#endif /*#ifdef USE_BIT_ARRAY*/
i1 = m[j];
}else if(dist_ptr = (ValueType *) HeapDelete(bin_heap)) {
#ifndef NO_LOCAL_PROFILING
StopClock(hdel_clk);
hdel_ticks += GetClockTicks(hdel_clk);
#endif
assert((unsigned long)dist_ptr >= (unsigned long)&dist[1]);
j = ((((unsigned long)dist_ptr -
(unsigned long)&dist[1]))/sizeof(ValueType))+1;
assert(j>=1 && j<=n);
curr_shortest_path = dist[j];
heap_marker[j] = 0; /*Setting the keyMap in Heap to 0*/
#endif /*#ifdef SIMPLE_HEAP */
#ifdef USE_BIT_ARRAY
SetBit(col_marker,j);
update_stack[++update_stack_index]=j;
#else
col_marker[j] = (Indices)i;
update_stack[++update_stack_index]=j;
#endif /*#ifdef USE_BIT_ARRAY*/
i1 = m[j];
}else{
break;
}
}
/*We found a shortest augmenting path*/
if(jend){
unsigned long **harray = bin_heap->heapArray;
#ifndef NO_LOCAL_PROFILING
StartClock(dual_clk);
#endif
/*NOTE1: We need a very fast way to update
*the dual variables and also reset the dist[]
*we avoid linear scan where ever we can to update
*these dual variables*/
while(update_stack_index){ /*Update u[j]: while*/
j=update_stack[update_stack_index--];
u[j] = (u[j]+dist[j])-curr_aug_path;
if(m[j]){ /*See NOTE1*/
i1 = m[j];
v[i1] = C[clabel[i1]] - u[j];
}
dist[j] = MAX_DOUBLE_VALUE;
if(bin_heap->n){
dist_ptr = (double *)harray[bin_heap->n];
j = ((((unsigned long)dist_ptr -
(unsigned long)&dist[1]))/sizeof(ValueType))+1;
heap_marker[j] = 0;
*((double *)harray[bin_heap->n]) = MAX_DOUBLE_VALUE;
bin_heap->n -= 1 ;
}
} /*Update u[j]: while*/
/*Uncomment if you need to print augmenting path*/
/*node_t itrace_prev;*/
/*printf("Shortest augmenting Path {");*/
j=jend;
while(itrace){
m_inv_prev = m_inv[itrace];
m[j] = itrace; m_inv[itrace]=j;
/*See NOTE1(above)*/
clabel[itrace] = aug_label[j];
v[itrace] = C[clabel[itrace]] - u[j];
/*printf("(%u,%u)",itrace,j);*/
j=m_inv_prev;
/*itrace_prev = itrace;*/
itrace = p[itrace];
/*
if(itrace){
printf("(%u,%u)",itrace_prev,m_inv_prev);
}*/
}
/*printf("}\n");*/
/*There may some dist[] still in the heap*/
while(bin_heap->n){
dist_ptr = (double *)harray[bin_heap->n];
j = ((((unsigned long)dist_ptr -
(unsigned long)&dist[1]))/sizeof(ValueType))+1;
heap_marker[j] = 0;
*((double *)harray[bin_heap->n]) = MAX_DOUBLE_VALUE;
bin_heap->n -= 1;
}
match_size++;
/*End Dual Update*/
#ifndef NO_LOCAL_PROFILING
StopClock(dual_clk);
dual_ticks += GetClockTicks(dual_clk);
#endif
} /*if(jend) : Found Augmeting Path*/
} /*for(i=1;i<=n;i++): Main Outer Loop*/
StopClock(core_clk);
WeightedMatchTicks = GetClockTicks(core_clk);
#ifndef NO_LOCAL_PROFILING
printf("Profile Summary\n");
printf("HINS=(%d) HDEL=(%d) HUPDATE=(%d)\n",(int)hins_ticks,(int)hdel_ticks,
(int)hupdate_ticks);
printf("DUAL=(%d) \n",(int)dual_ticks);
#endif
#ifdef USE_BIT_ARRAY
FreeBitArray(col_marker);
FreeBitArray(heap_marker);
#else
col_marker++;
delete col_marker;
#endif
#ifdef SIMPLE_HEAP
heap_marker++;
delete heap_marker;
#endif
aug_label++;
delete aug_label;
save_heap_op++;
delete save_heap_op;
clabel++;
delete clabel;
#ifdef BINARY_HEAP
FreeHeap(bin_heap);
#endif
return match_size;
}
/*O(n) time picking the maximum from the heap_marker */
node_t SimplePickMin(BitArray_t *bit_heap,double *dist,node_t n){
node_t min_j=0;node_t j;
double curr_min = HUGE_VAL;
for(j=1;j<=n;j++){
if(CheckBit(bit_heap,j) && dist[j] < curr_min){
min_j = j;
curr_min = dist[j];
}
}
return min_j;
}
#ifdef BINARY_HEAP
inline keyid_t GetDistKeyID(void *dist_ptr){ assert((unsigned long)dist_ptr >= dist_base);
return (((((unsigned long)dist_ptr-dist_base))/sizeof(double))+1);
}
#endif
BitArray_t* CreateBitArray(unsigned int size){
div_t d = div(size,SIZE_OF_BYTE_IN_BITS);
BitArray_t *bits = (BitArray_t *)malloc(sizeof(BitArray_t)*1);
assert(bits);
bits->size = (d.rem > 0)?(d.quot+1):d.quot;
bits->ba = (char *)malloc(sizeof(char)*(bits->size));
assert(bits->ba);
memset(bits->ba,'\0',bits->size);
return bits;
}