/*
------------------------------------------------------------------
create and return a height metric DV object
input : vmetricDV -- a metric defined on the vertices
output : dmetricDV -- a depth metric defined on the vertices
hmetric[v] = vmetric[v] + max{p(u) = v} hmetric[u] if fch[v] != -1
= vmetric[v] if fch[v] == -1
created -- 96jun23, cca
------------------------------------------------------------------
*/
DV *
Tree_setHeightDmetric (
Tree *tree,
DV *vmetricDV
) {
int u, v, val ;
double *hmetric, *vmetric ;
DV *hmetricDV ;
/*
---------------
check the input
---------------
*/
if ( tree == NULL || tree->n < 1
|| vmetricDV == NULL
|| tree->n != DV_size(vmetricDV)
|| (vmetric = DV_entries(vmetricDV)) == NULL ) {
fprintf(stderr, "\n fatal error in Tree_setHeightDmetric(%p,%p)"
"\n bad input\n", tree, vmetricDV) ;
exit(-1) ;
}
hmetricDV = DV_new() ;
DV_init(hmetricDV, tree->n, NULL) ;
hmetric = DV_entries(hmetricDV) ;
for ( v = Tree_postOTfirst(tree) ;
v != -1 ;
v = Tree_postOTnext(tree, v) ) {
for ( u = tree->fch[v], val = 0 ; u != -1 ; u = tree->sib[u] ) {
if ( val < hmetric[u] ) {
val = hmetric[u] ;
}
}
hmetric[v] = val + vmetric[v] ;
}
return(hmetricDV) ; }
/*
------------------------------------------------------
create and return a subtree metric DV object
input : vmetricDV -- a metric defined on the vertices
return : tmetricDV -- a metric defined on the subtrees
created -- 96jun23, cca
------------------------------------------------------
*/
DV *
Tree_setSubtreeDmetric (
Tree *tree,
DV *vmetricDV
) {
int u, v ;
double *tmetric, *vmetric ;
DV *tmetricDV ;
/*
---------------
check the input
---------------
*/
if ( tree == NULL || tree->n <= 0
|| vmetricDV == NULL
|| tree->n != DV_size(vmetricDV)
|| (vmetric = DV_entries(vmetricDV)) == NULL ) {
fprintf(stderr, "\n fatal error in Tree_setSubtreeImetric(%p,%p)"
"\n bad input\n", tree, vmetricDV) ;
exit(-1) ;
}
tmetricDV = DV_new() ;
DV_init(tmetricDV, tree->n, NULL) ;
tmetric = DV_entries(tmetricDV) ;
for ( v = Tree_postOTfirst(tree) ;
v != -1 ;
v = Tree_postOTnext(tree, v) ) {
tmetric[v] = vmetric[v] ;
for ( u = tree->fch[v] ; u != -1 ; u = tree->sib[u] ) {
tmetric[v] += tmetric[u] ;
}
}
return(tmetricDV) ; }
/*
---------------------------------------------------------------
purpose -- fill dvec[J] with the stack storage to solve for J
in a forward solve
created -- 97nov30, cca
---------------------------------------------------------------
*/
void
ETree_forwSolveProfile (
ETree *etree,
double dvec[]
) {
int I, J, maxstack, nDJ, nfront, nUJ, stack ;
int *bndwghts, *fch, *nodwghts, *sib ;
Tree *tree ;
/*
---------------
check the input
---------------
*/
if ( etree == NULL || dvec == NULL ) {
fprintf(stderr,
"\n fatal error in ETree_forwSolveProfile(%p,%p)"
"\n bad input\n", etree, dvec) ;
exit(-1) ;
}
tree = ETree_tree(etree) ;
nodwghts = ETree_nodwghts(etree) ;
bndwghts = ETree_bndwghts(etree) ;
nfront = ETree_nfront(etree) ;
fch = ETree_fch(etree) ;
sib = ETree_sib(etree) ;
/*
---------------------------------------------
loop over the nodes in a post-order traversal
---------------------------------------------
*/
maxstack = stack = 0 ;
for ( J = Tree_postOTfirst(tree) ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
nDJ = nodwghts[J] ;
nUJ = bndwghts[J] ;
stack += nDJ + nUJ ;
dvec[J] = stack ;
if ( maxstack < stack ) {
maxstack = stack ;
}
#if MYDEBUG > 0
fprintf(stdout,
"\n working on front %d, nD = %d, nU = %d, stack = %d",
J, nDJ, nUJ, stack) ;
#endif
for ( I = fch[J] ; I != -1 ; I = sib[I] ) {
stack -= bndwghts[I] ;
}
stack -= nDJ ;
}
#if MYDEBUG >= 0
fprintf(stdout,
"\n forward solve : final stack = %d, max stack = %d",
stack, maxstack) ;
#endif
return ; }
/*
------------------------------------------------------------------
create and return a height metric IV object
input : vmetricIV -- a metric defined on the vertices
output : dmetricIV -- a depth metric defined on the vertices
hmetric[v] = vmetric[v] + max{p(u) = v} hmetric[u] if fch[v] != -1
= vmetric[v] if fch[v] == -1
created -- 96jun23, cca
------------------------------------------------------------------
*/
IV *
Tree_setHeightImetric (
Tree *tree,
IV *vmetricIV
) {
int u, v, val ;
int *hmetric, *vmetric ;
IV *hmetricIV ;
/*
---------------
check the input
---------------
*/
if ( tree == NULL || tree->n < 1
|| vmetricIV == NULL
|| tree->n != IV_size(vmetricIV)
|| (vmetric = IV_entries(vmetricIV)) == NULL ) {
fprintf(stderr, "\n fatal error in Tree_setHeightImetric(%p,%p)"
"\n bad input\n", tree, vmetricIV) ;
if ( tree != NULL ) {
Tree_writeForHumanEye(tree, stderr) ;
}
if ( vmetricIV != NULL ) {
IV_writeForHumanEye(vmetricIV, stderr) ;
}
exit(-1) ;
}
hmetricIV = IV_new() ;
IV_init(hmetricIV, tree->n, NULL) ;
hmetric = IV_entries(hmetricIV) ;
for ( v = Tree_postOTfirst(tree) ;
v != -1 ;
v = Tree_postOTnext(tree, v) ) {
for ( u = tree->fch[v], val = 0 ; u != -1 ; u = tree->sib[u] ) {
if ( val < hmetric[u] ) {
val = hmetric[u] ;
}
}
hmetric[v] = val + vmetric[v] ;
}
return(hmetricIV) ; }
/*
--------------------------------------------
create and return an IV object that contains
the map from vertices to fundamental chains.
return value -- # of fundamental chains
created -- 96jun23, cca
-------------------------------------------
*/
IV *
Tree_fundChainMap (
Tree *tree
) {
int nfc, u, v ;
int *map ;
IV *mapIV ;
/*
---------------
check the input
---------------
*/
if ( tree == NULL || tree->n <= 0 ) {
fprintf(stderr, "\n fatal error in Tree_fundChainMap(%p)"
"\n bad input\n", tree) ;
exit(-1) ;
}
mapIV = IV_new() ;
IV_init(mapIV, tree->n, NULL) ;
map = IV_entries(mapIV) ;
for ( v = Tree_postOTfirst(tree), nfc = 0 ;
v != -1 ;
v = Tree_postOTnext(tree, v) ) {
if ( (u = tree->fch[v]) == -1 || tree->sib[u] != -1 ) {
/*
--------------------
v starts a new chain
--------------------
*/
map[v] = nfc++ ;
} else {
/*
-----------------------------------------------
v belongs in the same chain as its only child u
-----------------------------------------------
*/
map[v] = map[u] ;
}
}
return(mapIV) ; }
/*
----------------------------------------------
purpose -- map the off diagonal blocks to
processes in a domain decomposition fashion
created -- 98mar28, cca
----------------------------------------------
*/
void
SolveMap_ddMap (
SolveMap *solvemap,
int symmetryflag,
IVL *upperBlockIVL,
IVL *lowerBlockIVL,
int nproc,
IV *ownersIV,
Tree *tree,
int seed,
int msglvl,
FILE *msgFile
) {
char *mark ;
Drand drand ;
int ii, I, J, K, loc, nadj, nblockLower, nblockUpper,
nfront, proc ;
int *adj, *colids, *fch, *map, *owners, *rowids, *sib ;
/*
---------------
check the input
---------------
*/
if ( solvemap == NULL || symmetryflag < 0
|| upperBlockIVL == NULL || ownersIV == NULL ) {
fprintf(stderr,
"\n fatal error in SolveMap_ddMap(%p,%d,%p,%p,%p,%d)"
"\n bad input\n",
solvemap, symmetryflag, upperBlockIVL,
lowerBlockIVL, ownersIV, seed) ;
spoolesFatal();
}
nfront = IV_size(ownersIV) ;
if ( msglvl > 2 ) {
fprintf(msgFile,
"\n\n SolveMap_ddMap(): nfront = %d, nproc = %d",
nfront, nproc) ;
fflush(msgFile) ;
}
/*
-----------------------------------------------------------
count the number of upper blocks that do not include U(J,J)
-----------------------------------------------------------
*/
if ( msglvl > 2 ) {
fprintf(msgFile, "\n upperBlockIVL = %p", upperBlockIVL) ;
fflush(msgFile) ;
}
nblockUpper = 0 ;
for ( J = 0 ; J < nfront ; J++ ) {
IVL_listAndSize(upperBlockIVL, J, &nadj, &adj) ;
for ( ii = 0 ; ii < nadj ; ii++ ) {
if ( adj[ii] > J ) {
nblockUpper++ ;
}
}
}
if ( msglvl > 2 ) {
fprintf(msgFile, "\n nblockUpper = %d", nblockUpper) ;
fflush(msgFile) ;
}
/*
-----------------------------------------------------------
count the number of lower blocks that do not include L(J,J)
-----------------------------------------------------------
*/
if ( msglvl > 2 ) {
fprintf(msgFile, "\n lowerBlockIVL = %p", lowerBlockIVL) ;
fflush(msgFile) ;
}
nblockLower = 0 ;
if ( lowerBlockIVL != NULL ) {
for ( J = 0 ; J < nfront ; J++ ) {
IVL_listAndSize(lowerBlockIVL, J, &nadj, &adj) ;
for ( ii = 0 ; ii < nadj ; ii++ ) {
if ( adj[ii] > J ) {
nblockLower++ ;
}
}
}
}
if ( msglvl > 2 ) {
fprintf(msgFile, "\n nblockLower = %d", nblockLower) ;
fflush(msgFile) ;
}
/*
---------------------
initialize the object
---------------------
*/
SolveMap_init(solvemap, symmetryflag, nfront,
nproc, nblockUpper, nblockLower) ;
owners = SolveMap_owners(solvemap) ;
/*
----------------------
fill the owners vector
----------------------
*/
IVcopy(nfront, owners, IV_entries(ownersIV)) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n owners") ;
IVfprintf(msgFile, nfront, owners) ;
fflush(msgFile) ;
}
/*
-----------------------------------------------------
mark a node J in the tree as 'D' if it is in a domain
(owners[J] = owners[I] for all I a descendent of J)
and 'S' (for the schur complement) otherwise
-----------------------------------------------------
*/
mark = CVinit(nfront, 'D') ;
fch = tree->fch ;
sib = tree->sib ;
for ( J = Tree_postOTfirst(tree) ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
for ( I = fch[J] ; I != -1 ; I = sib[I] ) {
if ( mark[I] != 'D' || owners[I] != owners[J] ) {
mark[J] = 'S' ; break ;
}
}
}
/*
--------------------------------------
initialize the random number generator
--------------------------------------
*/
Drand_setDefaultFields(&drand) ;
Drand_setUniform(&drand, 0, nproc) ;
/*
-------------------------------
if J is in a domain
map(J,K) to owners[J]
else
map(J,K) to a random process
-------------------------------
*/
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n mapping upper blocks") ;
fflush(msgFile) ;
}
rowids = SolveMap_rowidsUpper(solvemap) ;
colids = SolveMap_colidsUpper(solvemap) ;
map = SolveMap_mapUpper(solvemap) ;
for ( J = loc = 0 ; J < nfront ; J++ ) {
IVL_listAndSize(upperBlockIVL, J, &nadj, &adj) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n J = %d", J) ;
fflush(msgFile) ;
}
for ( ii = 0 ; ii < nadj ; ii++ ) {
if ( msglvl > 2 ) {
fprintf(msgFile, "\n K = %d", adj[ii]) ;
fflush(msgFile) ;
}
if ( (K = adj[ii]) > J ) {
if ( mark[J] == 'D' ) {
proc = owners[J] ;
} else {
proc = (int) Drand_value(&drand) ;
}
rowids[loc] = J ;
colids[loc] = K ;
map[loc] = proc ;
if ( msglvl > 2 ) {
fprintf(msgFile, ", map[%d] = %d", loc, map[loc]) ;
fflush(msgFile) ;
}
loc++ ;
}
}
}
if ( symmetryflag == SPOOLES_NONSYMMETRIC ) {
/*
-------------------------------
if J is in a domain
map(K,J) to owners[J]
else
map(K,J) to a random process
-------------------------------
*/
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n mapping lower blocks") ;
fflush(msgFile) ;
}
rowids = SolveMap_rowidsLower(solvemap) ;
colids = SolveMap_colidsLower(solvemap) ;
map = SolveMap_mapLower(solvemap) ;
for ( J = loc = 0 ; J < nfront ; J++ ) {
if ( msglvl > 2 ) {
fprintf(msgFile, "\n J = %d", J) ;
fflush(msgFile) ;
}
IVL_listAndSize(lowerBlockIVL, J, &nadj, &adj) ;
for ( ii = 0 ; ii < nadj ; ii++ ) {
if ( msglvl > 2 ) {
fprintf(msgFile, "\n K = %d", adj[ii]) ;
fflush(msgFile) ;
}
if ( (K = adj[ii]) > J ) {
if ( mark[J] == 'D' ) {
proc = owners[J] ;
} else {
proc = (int) Drand_value(&drand) ;
}
rowids[loc] = K ;
colids[loc] = J ;
map[loc] = proc ;
if ( msglvl > 2 ) {
fprintf(msgFile, ", map[%d] = %d", loc, map[loc]) ;
fflush(msgFile) ;
}
loc++ ;
}
}
}
}
/*
------------------------
free the working storage
------------------------
*/
CVfree(mark) ;
return ; }
/*--------------------------------------------------------------------*/
int
main ( int argc, char *argv[] )
/*
------------------------------------------------------
(1) read in an ETree object.
(2) read in an Graph object.
(3) find the optimal domain/schur complement partition
for a semi-implicit factorization
created -- 96oct03, cca
------------------------------------------------------
*/
{
char *inETreeFileName, *inGraphFileName, *outIVfileName ;
double alpha, nA21, nfent1, nfops1, nL11, nL22, nPhi, nV, t1, t2 ;
Graph *graph ;
int ii, inside, J, K, msglvl, nfind1, nfront, nJ, nleaves1,
nnode1, nvtx, rc, sizeJ, totalgain, vsize, v, w ;
int *adjJ, *compids, *nodwghts, *vadj, *vtxToFront, *vwghts ;
IV *compidsIV ;
IVL *symbfacIVL ;
ETree *etree ;
FILE *msgFile ;
Tree *tree ;
if ( argc != 7 ) {
fprintf(stdout,
"\n\n usage : %s msglvl msgFile inETreeFile inGraphFile alpha"
"\n outIVfile "
"\n msglvl -- message level"
"\n msgFile -- message file"
"\n inETreeFile -- input file, must be *.etreef or *.etreeb"
"\n inGraphFile -- input file, must be *.graphf or *.graphb"
"\n alpha -- weight parameter"
"\n alpha = 0 --> minimize storage"
"\n alpha = 1 --> minimize solve ops"
"\n outIVfile -- output file for oldToNew vector,"
"\n must be *.ivf or *.ivb"
"\n", argv[0]) ;
return(0) ;
}
msglvl = atoi(argv[1]) ;
if ( strcmp(argv[2], "stdout") == 0 ) {
msgFile = stdout ;
} else if ( (msgFile = fopen(argv[2], "a")) == NULL ) {
fprintf(stderr, "\n fatal error in %s"
"\n unable to open file %s\n",
argv[0], argv[2]) ;
return(-1) ;
}
inETreeFileName = argv[3] ;
inGraphFileName = argv[4] ;
alpha = atof(argv[5]) ;
outIVfileName = argv[6] ;
fprintf(msgFile,
"\n %s "
"\n msglvl -- %d"
"\n msgFile -- %s"
"\n inETreeFile -- %s"
"\n inGraphFile -- %s"
"\n alpha -- %f"
"\n outIVfile -- %s"
"\n",
argv[0], msglvl, argv[2],
inETreeFileName, inGraphFileName, alpha, outIVfileName) ;
fflush(msgFile) ;
/*
------------------------
read in the ETree object
------------------------
*/
if ( strcmp(inETreeFileName, "none") == 0 ) {
fprintf(msgFile, "\n no file to read from") ;
spoolesFatal();
}
etree = ETree_new() ;
MARKTIME(t1) ;
rc = ETree_readFromFile(etree, inETreeFileName) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %9.5f : read in etree from file %s",
t2 - t1, inETreeFileName) ;
if ( rc != 1 ) {
fprintf(msgFile, "\n return value %d from ETree_readFromFile(%p,%s)",
rc, etree, inETreeFileName) ;
spoolesFatal();
}
ETree_leftJustify(etree) ;
fprintf(msgFile, "\n\n after reading ETree object from file %s",
inETreeFileName) ;
if ( msglvl > 2 ) {
ETree_writeForHumanEye(etree, msgFile) ;
} else {
ETree_writeStats(etree, msgFile) ;
}
fflush(msgFile) ;
nfront = ETree_nfront(etree) ;
tree = ETree_tree(etree) ;
nodwghts = ETree_nodwghts(etree) ;
vtxToFront = ETree_vtxToFront(etree) ;
/*
------------------------
read in the Graph object
------------------------
*/
if ( strcmp(inGraphFileName, "none") == 0 ) {
fprintf(msgFile, "\n no file to read from") ;
spoolesFatal();
}
graph = Graph_new() ;
MARKTIME(t1) ;
rc = Graph_readFromFile(graph, inGraphFileName) ;
nvtx = graph->nvtx ;
vwghts = graph->vwghts ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %9.5f : read in graph from file %s",
t2 - t1, inGraphFileName) ;
if ( rc != 1 ) {
fprintf(msgFile, "\n return value %d from Graph_readFromFile(%p,%s)",
rc, graph, inGraphFileName) ;
spoolesFatal();
}
fprintf(msgFile, "\n\n after reading Graph object from file %s",
inGraphFileName) ;
if ( msglvl > 2 ) {
Graph_writeForHumanEye(graph, msgFile) ;
} else {
Graph_writeStats(graph, msgFile) ;
}
fflush(msgFile) ;
/*
----------------------
compute the statistics
----------------------
*/
nnode1 = etree->tree->n ;
nfind1 = ETree_nFactorIndices(etree) ;
nfent1 = ETree_nFactorEntries(etree, SPOOLES_SYMMETRIC) ;
nfops1 = ETree_nFactorOps(etree, SPOOLES_REAL, SPOOLES_SYMMETRIC) ;
nleaves1 = Tree_nleaves(etree->tree) ;
fprintf(stdout, "\n root front %d has %d vertices",
etree->tree->root,
etree->nodwghtsIV->vec[etree->tree->root]) ;
/*
---------------------------------
create the symbolic factorization
---------------------------------
*/
symbfacIVL = SymbFac_initFromGraph(etree, graph) ;
if ( msglvl > 2 ) {
IVL_writeForHumanEye(symbfacIVL, msgFile) ;
} else {
IVL_writeStats(symbfacIVL, msgFile) ;
}
fflush(msgFile) ;
/*
--------------------------
find the optimal partition
--------------------------
*/
compidsIV = ETree_optPart(etree, graph, symbfacIVL, alpha,
&totalgain, msglvl, msgFile) ;
if ( msglvl > 2 ) {
IV_writeForHumanEye(compidsIV, msgFile) ;
} else {
IV_writeStats(compidsIV, msgFile) ;
}
fflush(msgFile) ;
compids = IV_entries(compidsIV) ;
/*
------------------------------------------------------
compute the number of vertices in the schur complement
------------------------------------------------------
*/
for ( J = 0, nPhi = nV = 0. ; J < nfront ; J++ ) {
if ( compids[J] == 0 ) {
nPhi += nodwghts[J] ;
}
nV += nodwghts[J] ;
}
/*
--------------------------------------------
compute the number of entries in L11 and L22
--------------------------------------------
*/
nL11 = nL22 = 0 ;
for ( J = Tree_postOTfirst(tree) ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
nJ = nodwghts[J] ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n\n front %d, nJ = %d", J, nJ) ;
}
IVL_listAndSize(symbfacIVL, J, &sizeJ, &adjJ) ;
for ( ii = 0, inside = 0 ; ii < sizeJ ; ii++ ) {
w = adjJ[ii] ;
K = vtxToFront[w] ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n w = %d, K = %d", w, K) ;
}
if ( K > J && compids[K] == compids[J] ) {
inside += (vwghts == NULL) ? 1 : vwghts[w] ;
if ( msglvl > 3 ) {
fprintf(msgFile, ", inside") ;
}
}
}
if ( compids[J] != 0 ) {
if ( msglvl > 3 ) {
fprintf(msgFile, "\n inside = %d, adding %d to L11",
inside, nJ*nJ + 2*nJ*inside) ;
}
nL11 += (nJ*(nJ+1))/2 + nJ*inside ;
} else {
if ( msglvl > 3 ) {
fprintf(msgFile, "\n inside = %d, adding %d to L22",
inside, (nJ*(nJ+1))/2 + nJ*inside) ;
}
nL22 += (nJ*(nJ+1))/2 + nJ*inside ;
}
}
if ( msglvl > 0 ) {
fprintf(msgFile, "\n |L| = %.0f, |L11| = %.0f, |L22| = %.0f",
nfent1, nL11, nL22) ;
}
/*
------------------------------------
compute the number of entries in A21
------------------------------------
*/
nA21 = 0 ;
if ( vwghts != NULL ) {
for ( v = 0 ; v < nvtx ; v++ ) {
J = vtxToFront[v] ;
if ( compids[J] != 0 ) {
Graph_adjAndSize(graph, v, &vsize, &vadj) ;
for ( ii = 0 ; ii < vsize ; ii++ ) {
w = vadj[ii] ;
K = vtxToFront[w] ;
if ( compids[K] == 0 ) {
if ( msglvl > 3 ) {
fprintf(msgFile, "\n A21 : v = %d, w = %d", v, w) ;
}
nA21 += vwghts[v] * vwghts[w] ;
}
}
}
}
} else {
for ( v = 0 ; v < nvtx ; v++ ) {
J = vtxToFront[v] ;
if ( compids[J] != 0 ) {
Graph_adjAndSize(graph, v, &vsize, &vadj) ;
for ( ii = 0 ; ii < vsize ; ii++ ) {
w = vadj[ii] ;
K = vtxToFront[w] ;
if ( compids[K] == 0 ) {
if ( msglvl > 3 ) {
fprintf(msgFile, "\n A21 : v = %d, w = %d", v, w) ;
}
nA21++ ;
}
}
}
}
}
if ( msglvl > 0 ) {
fprintf(msgFile,
"\n |L| = %.0f, |L11| = %.0f, |L22| = %.0f, |A21| = %.0f",
nfent1, nL11, nL22, nA21) ;
fprintf(msgFile,
"\n storage: explicit = %.0f, semi-implicit = %.0f, ratio = %.3f"
"\n opcount: explicit = %.0f, semi-implicit = %.0f, ratio = %.3f",
nfent1, nL11 + nA21 + nL22,
nfent1/(nL11 + nA21 + nL22),
2*nfent1, 4*nL11 + 2*nA21 + 2*nL22,
2*nfent1/(4*nL11 + 2*nA21 + 2*nL22)) ;
fprintf(msgFile, "\n ratios %8.3f %8.3f %8.3f",
nPhi/nV,
nfent1/(nL11 + nA21 + nL22),
2*nfent1/(4*nL11 + 2*nA21 + 2*nL22)) ;
}
/*
----------------
free the objects
----------------
*/
ETree_free(etree) ;
Graph_free(graph) ;
IVL_free(symbfacIVL) ;
fprintf(msgFile, "\n") ;
fclose(msgFile) ;
return(1) ; }
/*
---------------------------------------------------------------
purpose -- fill dvec[J] with the active storage to eliminate J
using the right-looking general sparse method
symflag -- symmetry flag, one of SPOOLES_SYMMETRIC,
SPOOLES_HERMITIAN or SPOOLES_NONSYMMETRIC
created -- 98dec19, cca
---------------------------------------------------------------
*/
void
ETree_FSstorageProfile (
ETree *etree,
int symflag,
IVL *symbfacIVL,
double dvec[]
) {
char *incore ;
int ii, J, K, nDJ, nfront, nUJ, sizeJ, storage ;
int *bndwghts, *indJ, *mark, *nodwghts, *stor, *vtxToFront ;
Tree *tree ;
/*
---------------
check the input
---------------
*/
if ( etree == NULL || symbfacIVL == NULL || dvec == NULL ) {
fprintf(stderr,
"\n fatal error in ETree_FSstorageProfile(%p,%p,%p)"
"\n bad input\n", etree, symbfacIVL, dvec) ;
exit(-1) ;
}
tree = ETree_tree(etree) ;
nodwghts = ETree_nodwghts(etree) ;
bndwghts = ETree_bndwghts(etree) ;
vtxToFront = ETree_vtxToFront(etree) ;
nfront = ETree_nfront(etree) ;
incore = CVinit(nfront, 'F') ;
stor = IVinit(nfront, 0) ;
mark = IVinit(nfront, -1) ;
/*
--------------------------------------------
compute the storage for each front's chevron
--------------------------------------------
*/
if ( symflag == SPOOLES_SYMMETRIC || symflag == SPOOLES_HERMITIAN ) {
for ( J = 0 ; J < nfront ; J++ ) {
nDJ = nodwghts[J] ;
nUJ = bndwghts[J] ;
stor[J] = (nDJ*(nDJ+1))/2 + nDJ*nUJ ;
}
} else {
for ( J = 0 ; J < nfront ; J++ ) {
nDJ = nodwghts[J] ;
nUJ = bndwghts[J] ;
stor[J] = nDJ*nDJ + 2*nDJ*nUJ ;
}
}
/*
---------------------------------------------
loop over the nodes in a post-order traversal
---------------------------------------------
*/
storage = 0 ;
for ( J = Tree_postOTfirst(tree) ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
if ( incore[J] == 'F' ) {
storage += stor[J] ;
incore[J] = 'T' ;
}
IVL_listAndSize(symbfacIVL, J, &sizeJ, &indJ) ;
mark[J] = J ;
for ( ii = 0 ; ii < sizeJ ; ii++ ) {
K = vtxToFront[indJ[ii]] ;
if ( mark[K] != J ) {
mark[K] = J ;
if ( incore[K] == 'F' ) {
storage += stor[K] ;
incore[K] = 'T' ;
}
}
}
dvec[J] = storage ;
storage -= stor[J] ;
}
IVfree(mark) ;
IVfree(stor) ;
CVfree(incore) ;
return ; }
/*
---------------------------------------------------------------
purpose -- fill dvec[J] with the active storage to eliminate J
using the multifrontal method
symflag -- symmetry flag, one of SPOOLES_SYMMETRIC,
SPOOLES_HERMITIAN or SPOOLES_NONSYMMETRIC
created -- 97may21, cca
---------------------------------------------------------------
*/
void
ETree_MFstackProfile (
ETree *etree,
int symflag,
double dvec[]
) {
int I, J, nDJ, nUI, nUJ, stack ;
int *bndwghts, *fch, *nodwghts, *sib ;
Tree *tree ;
/*
---------------
check the input
---------------
*/
if ( etree == NULL || dvec == NULL ) {
fprintf(stderr, "\n fatal error in ETree_MFstackProfile(%p,%p)"
"\n bad input\n", etree, dvec) ;
exit(-1) ;
}
tree = ETree_tree(etree) ;
nodwghts = ETree_nodwghts(etree) ;
bndwghts = ETree_bndwghts(etree) ;
fch = ETree_fch(etree) ;
sib = ETree_sib(etree) ;
/*
---------------------------------------------
loop over the nodes in a post-order traversal
---------------------------------------------
*/
stack = 0 ;
for ( J = Tree_postOTfirst(tree) ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
nDJ = nodwghts[J] ;
nUJ = bndwghts[J] ;
#if MYDEBUG > 0
fprintf(stdout,
"\n working on front %d, nD = %d, nU = %d, stack = %d",
J, nDJ, nUJ, stack) ;
#endif
if ( (I = fch[J]) != -1 ) {
/*
--------------------------------
remove last child from the stack
--------------------------------
*/
while ( sib[I] != -1 ) {
I = sib[I] ;
}
nUI = bndwghts[I] ;
if ( symflag == SPOOLES_SYMMETRIC
|| symflag == SPOOLES_HERMITIAN ) {
stack -= (nUI*(nUI+1))/2 ;
} else if ( symflag == SPOOLES_NONSYMMETRIC ) {
stack -= nUI*nUI ;
}
#if MYDEBUG > 0
fprintf(stdout,
"\n removing last child %d, stack = %d", I, stack) ;
#endif
}
/*
---------------------------------
add frontal matrix for J to stack
and store as the storage for J
---------------------------------
*/
dvec[J] = stack + (nDJ + nUJ)*(nDJ + nUJ) ;
if ( symflag == SPOOLES_SYMMETRIC || symflag == SPOOLES_HERMITIAN ) {
dvec[J] = stack + ((nDJ + nUJ)*(nDJ + nUJ+1))/2 ;
} else if ( symflag == SPOOLES_NONSYMMETRIC ) {
dvec[J] = stack + (nDJ + nUJ)*(nDJ + nUJ) ;
}
#if MYDEBUG > 0
fprintf(stdout,
"\n working storage = %.0f", dvec[J]) ;
#endif
if ( (I = fch[J]) != -1 ) {
/*
------------------------------------
remove other children from the stack
------------------------------------
*/
while ( sib[I] != -1 ) {
nUI = bndwghts[I] ;
if ( symflag == SPOOLES_SYMMETRIC
|| symflag == SPOOLES_HERMITIAN ) {
stack -= (nUI*(nUI+1))/2 ;
} else if ( symflag == SPOOLES_NONSYMMETRIC ) {
stack -= nUI*nUI ;
}
#if MYDEBUG > 0
fprintf(stdout,
"\n removing child %d, stack = %d", I, stack) ;
#endif
I = sib[I] ;
}
}
/*
--------------------------------
add update matrix for J to stack
--------------------------------
*/
if ( symflag == SPOOLES_SYMMETRIC || symflag == SPOOLES_HERMITIAN ) {
stack += (nUJ*(nUJ+1))/2 ;
} else if ( symflag == SPOOLES_NONSYMMETRIC ) {
stack += nUJ*nUJ ;
}
#if MYDEBUG > 0
fprintf(stdout,
"\n adding update matrix, stack = %d", stack) ;
#endif
}
#if MYDEBUG >= 0
fprintf(stdout, "\n MF: final stack = %d", stack) ;
#endif
return ; }
/*
---------------------------------------------------------------
purpose -- fill dvec[J] with the active storage to eliminate J
using the left-looking general sparse method
symflag -- symmetry flag, one of SPOOLES_SYMMETRIC,
SPOOLES_HERMITIAN or SPOOLES_NONSYMMETRIC
created -- 97may21, cca
---------------------------------------------------------------
*/
void
ETree_GSstorageProfile (
ETree *etree,
int symflag,
IVL *symbfacIVL,
int *vwghts,
double dvec[]
) {
int count, ii, I, J, K, nDJ, nfront, nUJ, sizeI, sizeJ, storage, v ;
int *bndwghts, *head, *indI, *indJ,
*link, *nodwghts, *offsets, *vtxToFront ;
Tree *tree ;
/*
---------------
check the input
---------------
*/
if ( etree == NULL || symbfacIVL == NULL || dvec == NULL ) {
fprintf(stderr,
"\n fatal error in ETree_GSstorageProfile(%p,%p,%p,%p)"
"\n bad input\n", etree, symbfacIVL, vwghts, dvec) ;
exit(-1) ;
}
tree = ETree_tree(etree) ;
nodwghts = ETree_nodwghts(etree) ;
bndwghts = ETree_bndwghts(etree) ;
vtxToFront = ETree_vtxToFront(etree) ;
nfront = ETree_nfront(etree) ;
head = IVinit(nfront, -1) ;
link = IVinit(nfront, -1) ;
offsets = IVinit(nfront, 0) ;
/*
---------------------------------------------
loop over the nodes in a post-order traversal
---------------------------------------------
*/
storage = 0 ;
for ( J = Tree_postOTfirst(tree) ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
nDJ = nodwghts[J] ;
nUJ = bndwghts[J] ;
if ( symflag == SPOOLES_SYMMETRIC || symflag == SPOOLES_HERMITIAN ) {
storage += (nDJ*(nDJ + 1))/2 + nDJ*nUJ ;
} else if ( symflag == SPOOLES_NONSYMMETRIC ) {
storage += nDJ*nDJ + 2*nDJ*nUJ ;
}
dvec[J] = storage ;
#if MYDEBUG > 0
fprintf(stdout,
"\n working on front %d, nD = %d, nU = %d, storage = %d",
J, nDJ, nUJ, storage) ;
#endif
/*
-----------------------------
loop over the updating fronts
-----------------------------
*/
while ( (I = head[J]) != -1 ) {
head[J] = link[I] ;
IVL_listAndSize(symbfacIVL, I, &sizeI, &indI) ;
#if MYDEBUG > 0
fprintf(stdout,
"\n updating front %d, offset = %d, sizeI = %d",
I, offsets[I], sizeI) ;
IVfprintf(stdout, sizeI, indI) ;
#endif
for ( ii = offsets[I], count = 0, K = -1 ; ii < sizeI ; ii++ ) {
v = indI[ii] ;
#if MYDEBUG > 0
fprintf(stdout, "\n ii = %d, v = %d, K = %d",
ii, v, vtxToFront[v]) ;
fflush(stdout) ;
#endif
K = vtxToFront[v] ;
if ( K < 0 || K >= nfront ) {
fprintf(stderr, "\n\n fatal error"
"\n ii = %d, v = %d, K = %d", ii, v, K) ;
exit(-1) ;
}
if ( (K = vtxToFront[v]) != J ) {
#if MYDEBUG > 0
fprintf(stdout, "\n linking to next ancestor %d", K) ;
#endif
link[I] = head[K] ;
head[K] = I ;
offsets[I] = ii ;
break ;
}
count += (vwghts == NULL) ? 1 : vwghts[v] ;
#if MYDEBUG > 0
fprintf(stdout, "\n count = %d", count) ;
fflush(stdout) ;
#endif
}
if ( symflag == SPOOLES_SYMMETRIC
|| symflag == SPOOLES_HERMITIAN ) {
storage -= count*nodwghts[I] ;
} else if ( symflag == SPOOLES_NONSYMMETRIC ) {
storage -= 2*count*nodwghts[I] ;
}
}
if ( symflag == SPOOLES_SYMMETRIC || symflag == SPOOLES_HERMITIAN ) {
storage -= (nDJ*(nDJ+1))/2 ;
} else if ( symflag == SPOOLES_NONSYMMETRIC ) {
storage -= nDJ*nDJ ;
}
if ( nUJ > 0 ) {
IVL_listAndSize(symbfacIVL, J, &sizeJ, &indJ) ;
for ( ii = 0 ; ii < sizeJ ; ii++ ) {
v = indJ[ii] ;
if ( (K = vtxToFront[v]) != J ) {
break ;
}
}
offsets[J] = ii ;
#if MYDEBUG > 0
fprintf(stdout, "\n linking to next ancestor %d", K) ;
#endif
IVL_listAndSize(symbfacIVL, J, &sizeJ, &indJ) ;
link[J] = head[K] ;
head[K] = J ;
}
#if MYDEBUG > 0
fprintf(stdout, "\n at end of step %d, storage = %d",
J, storage) ;
#endif
}
#if MYDEBUG >= 0
fprintf(stdout, "\n GS: final storage = %d", storage) ;
#endif
IVfree(head) ;
IVfree(link) ;
IVfree(offsets) ;
return ; }
/*
-------------------------------------------------
expand an ETree object by splitting a large front
into a chain of smaller fronts.
created -- 96jun27, cca
-------------------------------------------------
*/
ETree *
ETree_splitFronts (
ETree *etree,
int vwghts[],
int maxfrontsize,
int seed
) {
ETree *etree2 ;
int count, front, ii, I, Inew, J, Jnew, nbnd, newsize, nint, nfront,
nfront2, nsplit, nvtx, prev, size, sizeJ, v, vwght ;
int *bndwghts, *fch, *head, *indices, *link, *newbndwghts, *newmap,
*newnodwghts, *newpar, *nodwghts, *roots, *sib, *vtxToFront ;
Tree *tree ;
/*
---------------
check the input
---------------
*/
if ( etree == NULL
|| (nfront = etree->nfront) <= 0
|| (nvtx = etree->nvtx) <= 0
|| maxfrontsize <= 0 ) {
fprintf(stderr, "\n fatal error in ETree_splitFronts(%p,%p,%d,%d)"
"\n bad input\n", etree, vwghts, maxfrontsize, seed) ;
spoolesFatal();
}
tree = etree->tree ;
fch = tree->fch ;
sib = tree->sib ;
nodwghts = IV_entries(etree->nodwghtsIV) ;
bndwghts = IV_entries(etree->bndwghtsIV) ;
vtxToFront = IV_entries(etree->vtxToFrontIV) ;
/*
--------------------------
set up the working storage
--------------------------
*/
newpar = IVinit(nvtx, -1) ;
roots = IVinit(nfront, -1) ;
newmap = IVinit(nvtx, -1) ;
newnodwghts = IVinit(nvtx, -1) ;
newbndwghts = IVinit(nvtx, -1) ;
head = IVinit(nfront, -1) ;
link = IVinit(nvtx, -1) ;
indices = IVinit(nvtx, -1) ;
for ( v = 0 ; v < nvtx ; v++ ) {
front = vtxToFront[v] ;
link[v] = head[front] ;
head[front] = v ;
}
/*
------------------------------------------------
execute a post-order traversal of the front tree
------------------------------------------------
*/
nfront2 = 0 ;
for ( J = Tree_postOTfirst(tree) ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
sizeJ = 0 ;
for ( v = head[J], count = 0 ; v != -1 ; v = link[v] ) {
indices[count++] = v ;
vwght = (vwghts != NULL) ? vwghts[v] : 1 ;
sizeJ += vwght ;
}
if ( sizeJ != nodwghts[J] ) {
fprintf(stderr, "\n fatal error in ETree_splitFronts(%p,%p,%d,%d)"
"\n J = %d, sizeJ = %d, nodwght = %d\n",
etree, vwghts, maxfrontsize, seed, J, sizeJ, nodwghts[J]) ;
spoolesFatal();
}
#if MYDEBUG > 0
fprintf(stdout, "\n\n checking out front %d, size %d", J, sizeJ) ;
#endif
if ( sizeJ <= maxfrontsize || fch[J] == -1 ) {
/*
-------------------------------------------
this front is small enough (or is a domain)
-------------------------------------------
*/
Jnew = nfront2++ ;
for ( ii = 0 ; ii < count ; ii++ ) {
v = indices[ii] ;
newmap[v] = Jnew ;
#if MYDEBUG > 1
fprintf(stdout, "\n mapping vertex %d into new front %d",
v, Jnew) ;
#endif
}
for ( I = fch[J] ; I != -1 ; I = sib[I] ) {
Inew = roots[I] ;
newpar[Inew] = Jnew ;
}
newnodwghts[Jnew] = nodwghts[J] ;
newbndwghts[Jnew] = bndwghts[J] ;
roots[J] = Jnew ;
#if MYDEBUG > 0
fprintf(stdout, "\n front is small enough, Jnew = %d", Jnew) ;
#endif
} else {
/*
------------------------------------------
this front is too large, split into pieces
whose size differs by one vertex
------------------------------------------
*/
nsplit = (sizeJ + maxfrontsize - 1)/maxfrontsize ;
newsize = sizeJ / nsplit ;
if ( sizeJ % nsplit != 0 ) {
newsize++ ;
}
#if MYDEBUG > 0
fprintf(stdout,
"\n front is too large, %d target fronts, target size = %d",
nsplit, newsize) ;
#endif
prev = -1 ;
nint = nodwghts[J] ;
nbnd = nint + bndwghts[J] ;
if ( seed > 0 ) {
IVshuffle(count, indices, seed) ;
}
ii = 0 ;
while ( ii < count ) {
Jnew = nfront2++ ;
size = 0 ;
while ( ii < count ) {
v = indices[ii] ;
vwght = (vwghts != NULL) ? vwghts[v] : 1 ;
#if MYDEBUG > 0
fprintf(stdout,
"\n ii = %d, v = %d, vwght = %d, size = %d",
ii, v, vwght, size) ;
#endif
/*
-----------------------------------------------
97aug28, cca
bug fix. front is created even if it is too big
-----------------------------------------------
*/
if ( newsize >= size + vwght || size == 0 ) {
newmap[v] = Jnew ;
size += vwght ;
#if MYDEBUG > 0
fprintf(stdout,
"\n mapping vertex %d into new front %d, size = %d",
v, Jnew, size) ;
#endif
ii++ ;
} else {
break ;
}
}
if ( prev == -1 ) {
for ( I = fch[J] ; I != -1 ; I = sib[I] ) {
Inew = roots[I] ;
newpar[Inew] = Jnew ;
}
} else {
newpar[prev] = Jnew ;
}
prev = Jnew ;
newnodwghts[Jnew] = size ;
nbnd = nbnd - size ;
newbndwghts[Jnew] = nbnd ;
#if MYDEBUG > 0
fprintf(stdout, "\n new front %d, size %d, bnd %d",
Jnew, newnodwghts[Jnew], newbndwghts[Jnew]) ;
#endif
}
roots[J] = Jnew ;
}
}
/*
---------------------------
create the new ETree object
---------------------------
*/
etree2 = ETree_new() ;
ETree_init1(etree2, nfront2, nvtx) ;
IVcopy(nfront2, etree2->tree->par, newpar) ;
Tree_setFchSibRoot(etree2->tree) ;
IVcopy(nvtx, IV_entries(etree2->vtxToFrontIV), newmap) ;
IVcopy(nfront2, IV_entries(etree2->nodwghtsIV), newnodwghts) ;
IVcopy(nfront2, IV_entries(etree2->bndwghtsIV), newbndwghts) ;
/*
------------------------
free the working storage
------------------------
*/
IVfree(newpar) ;
IVfree(roots) ;
IVfree(newmap) ;
IVfree(newnodwghts) ;
IVfree(newbndwghts) ;
IVfree(head) ;
IVfree(link) ;
IVfree(indices) ;
return(etree2) ; }
/*
--------------------------------------------------------------------
purpose -- merge the front tree allowing at most
maxzeros zero entries inside a front
return --
IV object that has the old front to new front map
created -- 96jun23, cca
modified -- 97dec18, cca
bug fixed that incorrectly counted the number of zeros in a front
--------------------------------------------------------------------
*/
ETree *
ETree_mergeFrontsAny (
ETree *etree,
int maxzeros,
IV *nzerosIV
) {
ETree *etree2 ;
int J, K, nfront, nvtx, nnew ;
int *bndwghts, *cost, *fch, *map, *nodwghts,
*nzeros, *par, *place, *rep, *sib, *temp ;
IV *mapIV ;
Tree *tree ;
/*
---------------
check the input
---------------
*/
if ( etree == NULL
|| (nfront = etree->nfront) <= 0
|| (nvtx = etree->nvtx) <= 0 ) {
fprintf(stderr, "\n fatal error in ETree_mergeFrontsAny(%p,%d)"
"\n bad input\n", etree, maxzeros) ;
spoolesFatal();
}
if ( IV_size(nzerosIV) != nfront ) {
fprintf(stderr, "\n fatal error in ETree_mergeFrontsAny(%p,%d,%p)"
"\n size(nzerosIV) = %d, nfront = %d\n",
etree, maxzeros, nzerosIV, IV_size(nzerosIV), nfront) ;
spoolesFatal();
}
nzeros = IV_entries(nzerosIV) ;
tree = etree->tree ;
nodwghts = IVinit(nfront, 0) ;
bndwghts = IVinit(nfront, 0) ;
par = IVinit(nfront, -1) ;
fch = IVinit(nfront, -1) ;
sib = IVinit(nfront, -1) ;
IVcopy(nfront, par, tree->par) ;
IVcopy(nfront, fch, tree->fch) ;
IVcopy(nfront, sib, tree->sib) ;
IVcopy(nfront, nodwghts, IV_entries(etree->nodwghtsIV)) ;
IVcopy(nfront, bndwghts, IV_entries(etree->bndwghtsIV)) ;
/*
----------------------
set up working storage
----------------------
*/
rep = IVinit(nfront, -1) ;
IVramp(nfront, rep, 0, 1) ;
cost = IVinit(nfront, 0) ;
/*
------------------------------------------
perform a post-order traversal of the tree
------------------------------------------
*/
for ( J = Tree_postOTfirst(tree) ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
#if MYDEBUG > 0
fprintf(stdout, "\n\n ##### visiting front %d", J) ;
fflush(stdout) ;
#endif
visitAny(J, par, fch, sib, nodwghts, bndwghts,
rep, cost, nzeros, maxzeros) ;
}
#if MYDEBUG > 0
fprintf(stdout, "\n\n whoa, finished") ;
fflush(stdout) ;
#endif
/*
-------------------------------------------------
take the map from fronts to representative fronts
and make the map from old fronts to new fronts
-------------------------------------------------
*/
mapIV = IV_new() ;
IV_init(mapIV, nfront, NULL) ;
map = IV_entries(mapIV) ;
place = IVinit(nfront, -1) ;
for ( J = 0, nnew = 0 ; J < nfront ; J++ ) {
#if MYDEBUG > 0
fprintf(stdout, "\n rep[%d] = %d", J, rep[J]) ;
fflush(stdout) ;
#endif
if ( rep[J] != J ) {
K = J ;
while ( rep[K] != K ) {
#if MYDEBUG > 0
fprintf(stdout, "\n rep[%d] = %d", K, rep[K]) ;
fflush(stdout) ;
#endif
K = rep[K] ;
}
rep[J] = K ;
#if MYDEBUG > 0
fprintf(stdout, "\n setting rep[%d] = %d", J, rep[J]) ;
fflush(stdout) ;
#endif
} else {
place[J] = nnew++ ;
}
}
for ( J = 0 ; J < nfront ; J++ ) {
K = rep[J] ;
map[J] = place[K] ;
}
/*
-------------------------------
get the compressed ETree object
-------------------------------
*/
etree2 = ETree_compress(etree, mapIV) ;
/*
-------------------------
remap the nzeros[] vector
-------------------------
*/
temp = IVinit(nfront, 0) ;
IVcopy(nfront, temp, nzeros) ;
IV_setSize(nzerosIV, nnew) ;
nzeros = IV_entries(nzerosIV) ;
for ( J = 0 ; J < nfront ; J++ ) {
if ( rep[J] == J ) {
nzeros[map[J]] = temp[J] ;
}
}
IVfree(temp) ;
/*
------------------------
free the working storage
------------------------
*/
IVfree(par) ;
IVfree(fch) ;
IVfree(sib) ;
IVfree(nodwghts) ;
IVfree(bndwghts) ;
IVfree(rep) ;
IVfree(cost) ;
IVfree(place) ;
IV_free(mapIV) ;
return(etree2) ; }
/*
-------------------------------------------------------
purpose -- merge the front tree allowing a parent
to absorb all children when that creates
at most maxzeros zero entries inside a front
return --
IV object that has the old front to new front map
created -- 98jan29, cca
-------------------------------------------------------
*/
ETree *
ETree_mergeFrontsAll (
ETree *etree,
int maxzeros,
IV *nzerosIV
) {
ETree *etree2 ;
int cost, J, Jall, K, KandBnd, nfront, nvtx, nnew ;
int *bndwghts, *fch, *map, *nodwghts, *nzeros, *rep, *sib, *temp ;
IV *mapIV ;
Tree *tree ;
/*
---------------
check the input
---------------
*/
if ( etree == NULL || nzerosIV == NULL
|| (nfront = etree->nfront) <= 0
|| (nvtx = etree->nvtx) <= 0 ) {
fprintf(stderr, "\n fatal error in ETree_mergeFrontsAll(%p,%d,%p)"
"\n bad input\n", etree, maxzeros, nzerosIV) ;
if ( etree != NULL ) {
fprintf(stderr, "\n nfront = %d, nvtx = %d",
etree->nfront, etree->nvtx) ;
}
spoolesFatal();
}
if ( IV_size(nzerosIV) != nfront ) {
fprintf(stderr, "\n fatal error in ETree_mergeFrontsAll(%p,%d,%p)"
"\n size(nzerosIV) = %d, nfront = %d\n",
etree, maxzeros, nzerosIV, IV_size(nzerosIV), nfront) ;
spoolesFatal();
}
nzeros = IV_entries(nzerosIV) ;
/*
----------------------
set up working storage
----------------------
*/
tree = etree->tree ;
fch = ETree_fch(etree) ;
sib = ETree_sib(etree) ;
nodwghts = IVinit(nfront, 0) ;
IVcopy(nfront, nodwghts, ETree_nodwghts(etree)) ;
bndwghts = ETree_bndwghts(etree) ;
rep = IVinit(nfront, -1) ;
IVramp(nfront, rep, 0, 1) ;
/*
------------------------------------------
perform a post-order traversal of the tree
------------------------------------------
*/
for ( K = Tree_postOTfirst(tree) ;
K != -1 ;
K = Tree_postOTnext(tree, K) ) {
#if MYDEBUG > 0
fprintf(stdout, "\n\n ##### visiting front %d", K) ;
fflush(stdout) ;
#endif
if ( (J = fch[K]) != -1 ) {
KandBnd = nodwghts[K] + bndwghts[K] ;
Jall = 0 ;
cost = 2*nzeros[K] ;
for ( J = fch[K] ; J != -1 ; J = sib[J] ) {
Jall += nodwghts[J] ;
cost -= nodwghts[J]*nodwghts[J] ;
cost += 2*nodwghts[J]*(KandBnd - bndwghts[J]) ;
cost += 2*nzeros[J] ;
}
cost += Jall*Jall ;
cost = cost/2 ;
#if MYDEBUG > 0
fprintf(stdout, "\n cost = %d", cost) ;
fflush(stdout) ;
#endif
if ( cost <= maxzeros ) {
for ( J = fch[K] ; J != -1 ; J = sib[J] ) {
#if MYDEBUG > 0
fprintf(stdout, "\n merging %d into %d", J, K) ;
fflush(stdout) ;
#endif
rep[J] = K ;
nodwghts[K] += nodwghts[J] ;
}
nzeros[K] = cost ;
}
}
}
#if MYDEBUG > 0
fprintf(stdout, "\n\n whoa, finished") ;
fflush(stdout) ;
#endif
/*
-------------------------------------------------
take the map from fronts to representative fronts
and make the map from old fronts to new fronts
-------------------------------------------------
*/
mapIV = IV_new() ;
IV_init(mapIV, nfront, NULL) ;
map = IV_entries(mapIV) ;
for ( J = 0, nnew = 0 ; J < nfront ; J++ ) {
if ( rep[J] == J ) {
map[J] = nnew++ ;
} else {
K = J ;
while ( rep[K] != K ) {
K = rep[K] ;
}
rep[J] = K ;
}
}
for ( J = 0 ; J < nfront ; J++ ) {
if ( (K = rep[J]) != J ) {
map[J] = map[K] ;
}
}
/*
-------------------------------
get the compressed ETree object
-------------------------------
*/
etree2 = ETree_compress(etree, mapIV) ;
/*
-------------------------
remap the nzeros[] vector
-------------------------
*/
temp = IVinit(nfront, 0) ;
IVcopy(nfront, temp, nzeros) ;
IV_setSize(nzerosIV, nnew) ;
nzeros = IV_entries(nzerosIV) ;
for ( J = 0 ; J < nfront ; J++ ) {
if ( rep[J] == J ) {
nzeros[map[J]] = temp[J] ;
}
}
IVfree(temp) ;
/*
------------------------
free the working storage
------------------------
*/
IVfree(nodwghts) ;
IVfree(rep) ;
IV_free(mapIV) ;
return(etree2) ; }
/*
------------------------------------------------
purpose -- to get simple x[] and y[] coordinates
for the tree vertices
return values --
1 -- normal return
-1 -- tree is NULL
-2 -- heightflag is invalid
-3 -- coordflag is invalid
-4 -- xDV is NULL
-5 -- yDV is NULL
created -- 99jan07, cca
------------------------------------------------
*/
int
Tree_getSimpleCoords (
Tree *tree,
char heightflag,
char coordflag,
DV *xDV,
DV *yDV
) {
double *x, *y ;
int count, I, J, n, nleaves ;
int *fch, *par, *sib ;
/*
---------------
check the input
---------------
*/
if ( tree == NULL ) {
fprintf(stderr, "\n error in Tree_getSimpleCoords()"
"\n tree is NULL\n") ;
return(-1) ;
}
if ( heightflag != 'D' && heightflag != 'H' ) {
fprintf(stderr, "\n error in Tree_getSimpleCoords()"
"\n invalid heightflag = %c\n", heightflag) ;
return(-2) ;
}
if ( coordflag != 'C' && coordflag != 'P' ) {
fprintf(stderr, "\n error in Tree_getSimpleCoords()"
"\n invalid coordflag = %c\n", coordflag) ;
return(-3) ;
}
if ( xDV == NULL ) {
fprintf(stderr, "\n error in Tree_getSimpleCoords()"
"\n xDV is NULL\n") ;
return(-4) ;
}
if ( yDV == NULL ) {
fprintf(stderr, "\n error in Tree_getSimpleCoords()"
"\n yDV is NULL\n") ;
return(-5) ;
}
n = tree->n ;
par = tree->par ;
fch = tree->fch ;
sib = tree->sib ;
DV_setSize(xDV, n) ;
DV_setSize(yDV, n) ;
x = DV_entries(xDV) ;
y = DV_entries(yDV) ;
switch ( heightflag ) {
case 'D' : {
int J, K, maxdepth ;
for ( J = Tree_preOTfirst(tree), maxdepth = 0 ;
J != -1 ;
J = Tree_preOTnext(tree, J) ) {
if ( (K = par[J]) == -1 ) {
y[J] = 0.0 ;
} else {
y[J] = y[K] + 1.0 ;
}
if ( maxdepth < y[J] ) {
maxdepth = y[J] ;
}
}
if ( coordflag == 'C' ) {
for ( J = 0 ; J < n ; J++ ) {
y[J] = maxdepth - y[J] ;
}
}
} break ;
case 'H' : {
int height, I, J, maxheight ;
for ( J = Tree_postOTfirst(tree), maxheight = 0 ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
if ( (I = fch[J]) == -1 ) {
y[J] = 0.0 ;
} else {
height = y[I] ;
for ( I = sib[I] ; I != -1 ; I = sib[I] ) {
if ( height < y[I] ) {
height = y[I] ;
}
}
y[J] = height + 1.0 ;
}
if ( maxheight < y[J] ) {
maxheight = y[J] ;
}
}
if ( coordflag == 'P' ) {
for ( J = 0 ; J < n ; J++ ) {
y[J] = maxheight - y[J] ;
}
}
} break ;
default :
break ;
}
#if MYDEBUG > 0
fprintf(stdout, "\n\n y") ;
DV_writeForHumanEye(yDV, stdout) ;
#endif
DV_zero(xDV) ;
nleaves = 0 ;
for ( J = Tree_postOTfirst(tree) ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
if ( fch[J] == -1 ) {
x[J] = nleaves++ ;
} else {
for ( I = fch[J], count = 0 ; I != -1 ; I = sib[I] ) {
x[J] += x[I] ;
count++ ;
}
x[J] /= count ;
}
}
if ( coordflag == 'C' ) {
for ( J = 0 ; J < n ; J++ ) {
x[J] = x[J] / nleaves ;
}
} else {
double r, theta ;
for ( J = 0 ; J < n ; J++ ) {
theta = 6.283185 * x[J] / nleaves ;
r = y[J] ;
x[J] = r * cos(theta) ;
y[J] = r * sin(theta) ;
}
}
#if MYDEBUG > 0
fprintf(stdout, "\n\n x") ;
DV_writeForHumanEye(xDV, stdout) ;
#endif
return(1) ; }
/*--------------------------------------------------------------------*/
int
main ( int argc, char *argv[] )
/*
----------------------------------------
get statistics for a semi-implicit solve
created -- 97dec11, cca
----------------------------------------
*/
{
char *inGraphFileName, *inETreeFileName, *inMapFileName ;
double nA21, nL, nL11, nL22, nPhi, nV, t1, t2 ;
ETree *etree ;
int ii, inside, J, K, msglvl, nfront, nJ,
nvtx, rc, sizeJ, v, vsize, w ;
int *adjJ, *frontmap, *map, *nodwghts,
*vadj, *vtxToFront, *vwghts ;
IV *mapIV ;
IVL *symbfacIVL ;
Graph *graph ;
FILE *msgFile ;
Tree *tree ;
if ( argc != 6 ) {
fprintf(stdout,
"\n\n usage : %s msglvl msgFile GraphFile ETreeFile mapFile "
"\n msglvl -- message level"
"\n msgFile -- message file"
"\n GraphFile -- input graph file, must be *.graphf or *.graphb"
"\n ETreeFile -- input ETree file, must be *.etreef or *.etreeb"
"\n mapFile -- input map IV file, must be *.ivf or *.ivb"
"\n",
argv[0]) ;
return(0) ;
}
msglvl = atoi(argv[1]) ;
if ( strcmp(argv[2], "stdout") == 0 ) {
msgFile = stdout ;
} else if ( (msgFile = fopen(argv[2], "a")) == NULL ) {
fprintf(stderr, "\n fatal error in %s"
"\n unable to open file %s\n",
argv[0], argv[2]) ;
return(-1) ;
}
inGraphFileName = argv[3] ;
inETreeFileName = argv[4] ;
inMapFileName = argv[5] ;
fprintf(msgFile,
"\n %s "
"\n msglvl -- %d"
"\n msgFile -- %s"
"\n GraphFile -- %s"
"\n ETreeFile -- %s"
"\n mapFile -- %s"
"\n",
argv[0], msglvl, argv[2],
inGraphFileName, inETreeFileName, inMapFileName) ;
fflush(msgFile) ;
/*
------------------------
read in the Graph object
------------------------
*/
graph = Graph_new() ;
if ( strcmp(inGraphFileName, "none") == 0 ) {
fprintf(msgFile, "\n no file to read from") ;
exit(0) ;
}
MARKTIME(t1) ;
rc = Graph_readFromFile(graph, inGraphFileName) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %9.5f : read in graph from file %s",
t2 - t1, inGraphFileName) ;
nvtx = graph->nvtx ;
vwghts = graph->vwghts ;
if ( rc != 1 ) {
fprintf(msgFile, "\n return value %d from Graph_readFromFile(%p,%s)",
rc, graph, inGraphFileName) ;
exit(-1) ;
}
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n after reading Graph object from file %s",
inGraphFileName) ;
Graph_writeForHumanEye(graph, msgFile) ;
fflush(msgFile) ;
}
/*
------------------------
read in the ETree object
------------------------
*/
etree = ETree_new() ;
if ( strcmp(inETreeFileName, "none") == 0 ) {
fprintf(msgFile, "\n no file to read from") ;
exit(0) ;
}
MARKTIME(t1) ;
rc = ETree_readFromFile(etree, inETreeFileName) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %9.5f : read in etree from file %s",
t2 - t1, inETreeFileName) ;
nfront = ETree_nfront(etree) ;
tree = ETree_tree(etree) ;
vtxToFront = ETree_vtxToFront(etree) ;
nodwghts = ETree_nodwghts(etree) ;
nL = ETree_nFactorEntries(etree, 2) ;
if ( rc != 1 ) {
fprintf(msgFile, "\n return value %d from ETree_readFromFile(%p,%s)",
rc, etree, inETreeFileName) ;
exit(-1) ;
}
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n after reading ETree object from file %s",
inETreeFileName) ;
ETree_writeForHumanEye(etree, msgFile) ;
fflush(msgFile) ;
}
/*
-------------------------
read in the map IV object
-------------------------
*/
mapIV = IV_new() ;
if ( strcmp(inMapFileName, "none") == 0 ) {
fprintf(msgFile, "\n no file to read from") ;
exit(0) ;
}
MARKTIME(t1) ;
rc = IV_readFromFile(mapIV, inMapFileName) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n CPU %9.5f : read in mapIV from file %s",
t2 - t1, inMapFileName) ;
map = IV_entries(mapIV) ;
if ( rc != 1 ) {
fprintf(msgFile, "\n return value %d from IV_readFromFile(%p,%s)",
rc, mapIV, inMapFileName) ;
exit(-1) ;
}
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n after reading IV object from file %s",
inMapFileName) ;
IV_writeForHumanEye(mapIV, msgFile) ;
fflush(msgFile) ;
}
nV = nPhi = 0 ;
if ( vwghts == NULL ) {
for ( v = 0 ; v < nvtx ; v++ ) {
nV++ ;
if ( map[v] == 0 ) {
nPhi++ ;
}
}
} else {
for ( v = 0 ; v < nvtx ; v++ ) {
nV += vwghts[v] ;
if ( map[v] == 0 ) {
nPhi += vwghts[v] ;
}
}
}
fprintf(msgFile, "\n nPhi = %.0f, nV = %.0f", nPhi, nV) ;
/*
-------------------------
get the frontmap[] vector
-------------------------
*/
frontmap = IVinit(nfront, -1) ;
for ( v = 0 ; v < nvtx ; v++ ) {
J = vtxToFront[v] ;
if ( frontmap[J] == -1 ) {
frontmap[J] = map[v] ;
} else if ( frontmap[J] != map[v] ) {
fprintf(msgFile, "\n\n error, frontmap[%d] = %d, map[%d] = %d",
J, frontmap[J], v, map[v]) ;
}
}
/*
----------------------------------
compute the symbolic factorization
----------------------------------
*/
symbfacIVL = SymbFac_initFromGraph(etree, graph) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n symbolic factorization") ;
IVL_writeForHumanEye(symbfacIVL, msgFile) ;
fflush(msgFile) ;
}
/*
--------------------------------------------
compute the number of entries in L11 and L22
--------------------------------------------
*/
nL11 = nL22 = 0 ;
for ( J = Tree_postOTfirst(tree) ;
J != -1 ;
J = Tree_postOTnext(tree, J) ) {
nJ = nodwghts[J] ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n\n front %d, nJ = %d", J, nJ) ;
}
IVL_listAndSize(symbfacIVL, J, &sizeJ, &adjJ) ;
for ( ii = 0, inside = 0 ; ii < sizeJ ; ii++ ) {
w = adjJ[ii] ;
K = vtxToFront[w] ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n w = %d, K = %d", w, K) ;
}
if ( K > J && frontmap[K] == frontmap[J] ) {
inside += (vwghts == NULL) ? 1 : vwghts[w] ;
if ( msglvl > 3 ) {
fprintf(msgFile, ", inside") ;
}
}
}
if ( frontmap[J] != 0 ) {
if ( msglvl > 3 ) {
fprintf(msgFile, "\n inside = %d, adding %d to L11",
inside, nJ*nJ + 2*nJ*inside) ;
}
nL11 += nJ*nJ + 2*nJ*inside ;
} else {
if ( msglvl > 3 ) {
fprintf(msgFile, "\n inside = %d, adding %d to L22",
inside, nJ*nJ + 2*nJ*inside) ;
}
nL22 += nJ*nJ + 2*nJ*inside ;
}
}
if ( msglvl > 0 ) {
fprintf(msgFile, "\n |L| = %.0f, |L11| = %.0f, |L22| = %.0f",
nL, nL11, nL22) ;
}
/*
------------------------------------
compute the number of entries in A21
------------------------------------
*/
nA21 = 0 ;
if ( vwghts != NULL ) {
for ( v = 0 ; v < nvtx ; v++ ) {
if ( map[v] == 0 ) {
Graph_adjAndSize(graph, v, &vsize, &vadj) ;
for ( ii = 0 ; ii < vsize ; ii++ ) {
w = vadj[ii] ;
if ( map[v] != map[w] ) {
if ( msglvl > 3 ) {
fprintf(msgFile, "\n A21 : v = %d, w = %d", v, w) ;
}
nA21 += vwghts[v] * vwghts[w] ;
}
}
}
}
} else {
for ( v = 0 ; v < nvtx ; v++ ) {
if ( map[v] == 0 ) {
Graph_adjAndSize(graph, v, &vsize, &vadj) ;
for ( ii = 0 ; ii < vsize ; ii++ ) {
w = vadj[ii] ;
if ( map[v] != map[w] ) {
if ( msglvl > 3 ) {
fprintf(msgFile, "\n A21 : v = %d, w = %d", v, w) ;
}
nA21++ ;
}
}
}
}
}
if ( msglvl > 0 ) {
fprintf(msgFile,
"\n |L| = %.0f, |L11| = %.0f, |L22| = %.0f, |A21| = %.0f",
nL, nL11, nL22, nA21) ;
fprintf(msgFile,
"\n storage: explicit = %.0f, semi-implicit = %.0f, ratio = %.3f"
"\n opcount: explicit = %.0f, semi-implicit = %.0f, ratio = %.3f",
nL, nL11 + nA21 + nL22,
nL/(nL11 + nA21 + nL22),
2*nL, 4*nL11 + 2*nA21 + 2*nL22,
2*nL/(4*nL11 + 2*nA21 + 2*nL22)) ;
fprintf(msgFile, "\n ratios %8.3f %8.3f %8.3f",
nPhi/nV,
nL/(nL11 + nA21 + nL22),
2*nL/(4*nL11 + 2*nA21 + 2*nL22)) ;
}
/*
------------------------
free the working storage
------------------------
*/
Graph_free(graph) ;
ETree_free(etree) ;
IV_free(mapIV) ;
IVL_free(symbfacIVL) ;
IVfree(frontmap) ;
fprintf(msgFile, "\n") ;
fclose(msgFile) ;
return(1) ; }
