diff options
Diffstat (limited to 'benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Manual/manual.ps')
| -rw-r--r-- | benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/Manual/manual.ps | 6812 |
1 files changed, 0 insertions, 6812 deletions
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-(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) -g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(24)249 -6479 y(5.3)174 b(P)n(artitioning)42 b(Re\002nement)63 -b(.)83 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.) -f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f -(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(26)1009 6698 y(P)n(arMETIS)p -1735 6698 V 61 w(V3)p 1999 6698 V 59 w(Re\002neKw)n(ay)153 -b(.)83 b(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) -f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f -(.)h(.)203 b(26)249 6918 y(5.4)174 b(Fill-reducing)43 -b(Orderings)79 b(.)k(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.) -g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g -(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(27)1009 -7137 y(P)n(arMETIS)p 1735 7137 V 61 w(V3)p 1999 7137 -V 59 w(NodeND)133 b(.)83 b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h -(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.) -f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 b(27)249 7356 y(5.5)174 -b(Mesh)40 b(to)i(Graph)g(T)-6 b(ranslation)113 b(.)83 -b(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h -(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.) -f(.)h(.)f(.)h(.)203 b(28)1009 7575 y(P)n(arMETIS)p 1735 -7575 V 61 w(V3)p 1999 7575 V 59 w(Mesh2Dual)82 b(.)g(.)h(.)f(.)h(.)f(.) -h(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h -(.)f(.)h(.)g(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)f(.)h(.)203 -b(28)0 7960 y FD(6)166 b(Hard)n(war)m(e)41 b(&)h(Softwar)m(e)f(Requir)m -(ements,)g(and)i(Contact)f(Inf)l(ormation)2914 b(29)3858 -11298 y FK(2)p eop -%%Page: 3 3 -3 2 bop 0 170 a FE(1)233 b(Intr)-5 b(oduction)4 522 y -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)49 b FK(is)42 b(an)g(MPI-based)g(parallel)h(library)g(that)f -(implements)h(a)f(v)l(ariety)g(of)h(algorithms)g(for)g(partitioning)g -(and)f(repartitioning)0 741 y(unstructured)g(graphs)g(and)g(for)g -(computing)h(\002ll-reducing)g(orderings)f(of)g(sparse)f(matrices.)57 -b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)48 b FK(is)42 b(particularly)h(suited)e(for)0 -960 y(parallel)k(numerical)h(simulations)f(in)-7 b(v)m(olving)46 -b(lar)m(ge)f(unstructured)g(meshes.)62 b(In)45 b(this)h(type)f(of)h -(computation,)k FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)51 b FK(dramati-)0 1179 y(cally)40 -b(reduces)f(the)i(time)f(spent)g(in)g(communication)h(by)f(computing)h -(mesh)e(decompositions)h(such)g(that)g(the)g(numbers)g(of)h(interf)n -(ace)0 1398 y(elements)g(are)g(minimized.)199 1617 y(The)g(algorithms)h -(in)j FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g -FG(I)p FA(S)47 b FK(are)41 b(based)f(on)h(the)g(multile)l(v)n(el)g -(partitioning)h(and)e(\002ll-reducing)i(ordering)g(algorithms)f(that)g -(are)0 1837 y(implemented)g(in)h(the)f(widely-used)f(serial)h(package)j -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)48 b FK([5].)k(Ho)l(we)l(v)n -(er)-7 b(,)43 b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)48 b FK(e)n(xtends)40 b(the)h(functionality)h(pro) -n(vided)f(by)4 2056 y FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)45 b FK(and)38 b(includes)g(routines)g(that)g(are)g(especially)g -(suited)g(for)g(parallel)h(computations)f(and)g(lar)m(ge-scale)f -(numerical)i(simulations.)0 2275 y(In)j(particular)-7 -b(,)45 b FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b -FA(T)g FG(I)p FA(S)48 b FK(pro)n(vides)41 b(the)h(follo)l(wing)g -(functionality:)249 2627 y FL(\017)83 b FK(P)n(artition)42 -b(unstructured)g(graphs)f(and)g(meshes.)249 2979 y FL(\017)83 -b FK(Repartition)42 b(graphs)f(that)h(correspond)f(to)g(adapti)l(v)n -(ely)g(re\002ned)h(meshes.)249 3331 y FL(\017)83 b FK(P)n(artition)42 -b(graphs)f(for)h(multi-phase)g(and)f(multi-ph)o(ysics)h(simulations.) -249 3683 y FL(\017)83 b FK(Impro)n(v)n(e)41 b(the)h(quality)f(of)h(e)n -(xisting)f(partitionings.)249 4035 y FL(\017)83 b FK(Compute)41 -b(\002ll-reducing)i(orderings)f(for)g(sparse)e(direct)i(f)n -(actorization.)249 4387 y FL(\017)83 b FK(Construct)41 -b(the)h(dual)f(graphs)g(of)h(meshes)199 4739 y(The)d(rest)g(of)g(this)g -(manual)g(is)g(or)m(g)o(anized)f(as)h(follo)l(ws.)50 -b(Section)39 b(2)g(brie\003y)g(describes)f(the)h(dif)l(ferences)f -(between)g(this)h(v)n(ersion)f(and)0 4958 y(the)46 b(pre)l(vious)g -(major)h(release.)64 b(Section)47 b(3)f(describes)f(the)h(v)l(arious)g -(algorithms)h(that)f(are)g(implemented)h(in)j FA(P)-10 -b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t -FK(.)49 b(Section)d(4)0 5177 y(describes)53 b(the)g(format)i(of)f(the)f -(basic)g(parameters)h(that)f(need)h(to)g(be)f(supplied)h(to)g(the)f -(routines.)88 b(Section)54 b(5)g(pro)n(vides)f(a)g(detailed)0 -5397 y(description)i(of)g(the)g(calling)g(sequences)f(for)h(the)g -(major)h(routines)f(in)k FA(P)-10 b FG(A)8 b(R)g FA(M)-9 -b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)57 b(Finally)-11 -b(,)59 b(Section)c(6)g(describes)f(softw)n(are)h(and)0 -5616 y(hardw)n(are)42 b(requirements)f(and)g(pro)n(vides)g(contact)g -(information.)3858 11298 y(3)p eop -%%Page: 4 4 -4 3 bop 0 170 a FE(2)233 b(What)65 b(is)g(Ne)m(w)f(in)g(This)h(V)-12 -b(er)m(sion)4 522 y FA(P)i FG(A)8 b(R)g FA(M)-9 b FG(E)-34 -b FA(T)g FG(I)p FA(S)t FK(,)48 b(V)-18 b(ersion)45 b(3.x)g(contains)h -(a)f(number)i(of)f(changes)e(o)n(v)n(er)h(the)h(pre)l(vious)g(major)g -(release)f(\(V)-18 b(ersion)45 b(2.x\).)64 b(Theses)45 -b(changes)0 741 y(include)c(the)h(follo)l(wing:)249 1126 -y FL(\017)83 b FK(The)51 b(names)f(and)h(calling)g(sequence)e(of)i(all) -g(the)g(routines)f(ha)m(v)n(e)g(changed)g(due)g(to)h(e)n(xpanded)f -(functionality)h(that)g(has)g(been)415 1345 y(pro)n(vided)37 -b(in)f(this)h(release.)48 b(T)-13 b(able)37 b(1)f(sho)l(ws)g(ho)l(w)g -(the)h(names)f(of)g(the)h(v)l(arious)f(routines)h(map)f(from)i(v)n -(ersion)e(to)h(v)n(ersion.)48 b(Note)415 1564 y(that)55 -b(V)-18 b(ersion)55 b(3.0)f(is)h(fully)h(backw)n(ards)e(compatible)h -(with)h(all)f(pre)l(vious)f(v)n(ersions)h(of)k FA(P)-10 -b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t -FK(.)57 b(That)e(is,)j(the)d(old)h(API)415 1784 y(calls)45 -b(ha)m(v)n(e)e(been)i(mapped)g(to)g(the)g(ne)l(w)g(routines.)62 -b(Ho)l(we)l(v)n(er)-7 b(,)44 b(the)h(e)n(xpanded)f(functionality)i(pro) -n(vided)f(with)g(this)g(release)f(is)415 2003 y(only)e(a)m(v)l(ailable) -e(by)i(using)f(the)h(ne)l(w)f(calling)g(sequences.)249 -2355 y FL(\017)83 b FK(The)73 b(four)g(adapti)l(v)n(e)f(repartitioning) -h(routines:)114 b FA(P)-7 b(arMETIS)p 4163 2355 50 7 -v 61 w(Repar)7 b(tLDiffusion)p FK(,)82 b FA(P)-7 b(arMETIS)p -6347 2355 V 61 w(Repar)7 b(tGDiffusion)p FK(,)415 2574 -y FA(P)-7 b(arMETIS)p 1183 2574 V 61 w(Repar)7 b(tRemap)p -FK(,)45 b(and)d FA(P)-7 b(arMETIS)p 3409 2574 V 61 w(Repar)7 -b(tMLRemap)46 b FK(ha)m(v)n(e)41 b(been)h(replaced)g(by)h(a)g -(\(single\))g(implementa-)415 2793 y(tion)36 b(of)h(a)e(uni\002ed)i -(repartitioning)g(algorithm)f([15)q(],)g FA(P)-7 b(arMETIS)p -4235 2793 V 61 w(V3)p 4499 2793 V 60 w(Adaptiv)l(eRepar)7 -b(t)p FK(,)39 b(that)d(combines)f(the)h(best)f(features)415 -3012 y(of)42 b(the)f(pre)l(vious)h(routines.)249 3364 -y FL(\017)83 b FK(Multiple)39 b(v)n(erte)n(x)g(weights/balance)f -(constraints)g(are)h(supported)g(for)h(most)f(of)h(the)f(routines.)50 -b(This)40 b(allo)l(ws)i FA(P)-10 b FG(A)8 b(R)g FA(M)-9 -b FG(E)-34 b FA(T)g FG(I)p FA(S)46 b FK(to)39 b(be)415 -3583 y(used)i(to)h(partition)g(graphs)f(for)h(multi-phase)g(and)f -(multi-ph)o(ysics)h(simulations.)249 3935 y FL(\017)83 -b FK(In)66 b(order)g(to)h(optimize)f(partitionings)g(for)g(speci\002c)f -(heterogeneous)g(computing)i(architectures,)j(it)c(is)g(no)l(w)g -(possible)f(to)415 4155 y(specify)36 b(the)h(tar)m(get)g(sub-domain)f -(weights)h(for)g(each)f(of)h(the)g(sub-domains)f(and)g(for)i(each)e -(balance)f(constraint.)50 b(This)37 b(feature,)415 4374 -y(for)47 b(e)n(xample,)f(allo)l(ws)g(the)h(user)f(to)g(compute)h(a)f -(partitioning)h(in)g(which)f(one)h(of)f(the)h(sub-domains)f(is)g(twice) -g(the)h(size)e(of)i(all)415 4593 y(of)42 b(the)f(others.)249 -4945 y FL(\017)83 b FK(The)63 b(number)g(of)g(sub-domains)g(has)f(been) -g(de-coupled)h(from)g(the)g(number)g(of)g(processors)f(in)h(both)g(the) -f(static)h(and)f(the)415 5164 y(adapti)l(v)n(e)j(partitioning)h -(schemes.)123 b(Hence,)70 b(it)c(is)g(no)l(w)f(possible)g(to)h(use)f -(the)h(parallel)g(partitioning)h(and)e(repartitioning)415 -5383 y(algorithms)51 b(to)g(compute)g(a)g Fy(k)10 b FK(-w)n(ay)50 -b(partitioning)i(independent)f(of)g(the)f(number)i(of)f(processors)e -(that)i(are)g(used.)78 b(Note)51 b(that)415 5603 y(V)-18 -b(ersion)41 b(2.0)g(pro)n(vided)g(this)h(functionality)g(for)g(the)f -(static)g(partitioning)i(schemes)d(only)-11 b(.)249 5955 -y FL(\017)83 b FK(Routines)48 b(are)g(pro)n(vided)h(for)g(both)g -(directly)g(partitioning)g(a)f(\002nite)h(element)g(mesh,)g(and)f(for)h -(constructing)g(the)f(dual)h(graph)415 6174 y(of)42 b(a)f(mesh)g(in)h -(parallel.)51 b(In)42 b(v)n(ersion)f(3.1)g(these)f(routines)i(ha)m(v)n -(e)e(been)h(e)n(xtended)f(to)i(support)g(mix)n(ed)f(element)g(meshes.)p -1040 6714 5721 7 v 1037 6914 7 200 v 1140 6854 a(V)-18 -b(ersion)40 b(1.0)p 2281 6914 V 488 w(V)-18 b(ersion)41 -b(2.0)p 4452 6914 V 1414 w(V)-18 b(ersion)41 b(3.0)p -6757 6914 V 1040 6920 5721 7 v 1040 6927 V 1037 7126 -7 200 v 1140 7066 a(P)-15 b(ARKMETIS)p 2281 7126 V 319 -w(P)n(arMETIS)p 3110 7066 50 7 v 61 w(P)n(artKw)n(ay)p -4452 7126 7 200 v 734 w(P)n(arMETIS)p 5281 7066 50 7 -v 61 w(V3)p 5545 7066 V 60 w(P)n(artKw)n(ay)p 6757 7126 -7 200 v 1040 7133 5721 7 v 1037 7332 7 200 v 1140 7272 -a(P)g(ARGKMETIS)p 2281 7332 V 199 w(P)n(arMETIS)p 3110 -7272 50 7 v 61 w(P)n(artGeomKw)n(ay)p 4452 7332 7 200 -v 328 w(P)n(arMETIS)p 5281 7272 50 7 v 61 w(V3)p 5545 -7272 V 60 w(P)n(artGeomKw)n(ay)p 6757 7332 7 200 v 1040 -7339 5721 7 v 1037 7538 7 200 v 1140 7478 a(P)g(ARGMETIS)p 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-b(successful)f(completion,)k(the)d(number)g(of)h(edges)e(that)h(are)g -(cut)g(by)h(the)f(partitioning)h(is)f(written)h(to)f(this)1162 -671 y(parameter)-9 b(.)415 956 y FD(part)443 b FK(This)33 -b(is)f(an)f(array)i(of)f(size)f(equal)h(to)g(the)g(number)h(of)f -(locally-stored)g(v)n(ertices.)47 b(Upon)32 b(successful)f(completion)h -(the)1162 1176 y(partition)43 b(v)n(ector)d(of)i(the)g(locally-stored)f -(v)n(ertices)g(is)g(written)h(to)g(this)f(array)-11 b(.)51 -b(\(See)42 b(discussion)e(in)i(Section)g(4.4\).)415 1461 -y FD(comm)314 b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g -(communicator)h(of)f(the)g(processes)e(that)i(call)k -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)t FK(.)46 b(F)n(or)e(most)g(programs)1162 1680 y(this)e(will)g -(point)g(to)f Fj(MPI)p 2607 1680 50 7 v 59 w(COMM)p 3066 -1680 V 58 w(WORLD)p FK(.)3817 11298 y(18)p eop -%%Page: 19 19 -19 18 bop 0 166 a FB(P)-5 b(arMETIS)p 780 166 50 7 v -60 w(V3)p 1043 166 V 60 w(P)g(ar)s(tGeomKwa)m(y)42 b -FK(\(idxtype)g(*vtxdist,)g(idxtype)f(*xadj,)g(idxtype)h(*adjnc)n(y)-11 -b(,)40 b(idxtype)i(*vwgt,)f(idxtype)h(*adjwgt,)2356 385 -y(int)g(*wgt\003ag,)f(int)h(*num\003ag,)g(int)g(*ndims,)f(\003oat)g -(*xyz,)g(int)h(*ncon,)f(int)h(*nparts,)2356 604 y(\003oat)g(*tpwgts,)f -(\003oat)h(*ub)n(v)n(ec,)d(int)j(*options,)f(int)h(*edgecut,)f(idxtype) -g(*part,)2356 824 y(MPI)p 2661 824 V 60 w(Comm)h(*comm\))0 -1342 y FB(Description)415 1561 y FK(This)47 b(routine)g(is)g(used)f(to) -h(compute)f(a)h Fy(k)10 b FK(-w)n(ay)46 b(partitioning)i(of)f(a)f -(graph)h(on)66 b Fy(p)52 b FK(processors)45 b(by)i(combining)g(the)g -(coordinate-)415 1780 y(based)41 b(and)g(multi-constraint)h -Fy(k)10 b FK(-w)n(ay)42 b(partitioning)g(schemes.)0 2132 -y FB(P)-5 b(arameter)n(s)415 2371 y FD(vtxdist)268 b -FK(This)39 b(array)g(describes)f(ho)l(w)g(the)h(v)n(ertices)f(of)h(the) -f(graph)h(are)g(distrib)m(uted)f(among)h(the)g(processors.)49 -b(\(See)39 b(discus-)1162 2590 y(sion)j(in)f(Section)h(4.1\).)51 -b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f(processor) --9 b(.)415 2824 y FD(xadj,)42 b(adjncy)1162 3043 y FK(These)52 -b(store)g(the)h(\(local\))f(adjacenc)n(y)f(structure)h(of)h(the)f -(graph)g(at)h(each)e(processor)-9 b(.)83 b(\(See)52 b(discussion)f(in)i -(Sec-)1162 3262 y(tion)42 b(4.1\).)415 3489 y FD(vwgt,)f(adjwgt)1162 -3708 y FK(These)g(store)h(the)f(weights)g(of)h(the)f(v)n(ertices)g(and) -g(edges.)50 b(\(See)42 b(discussion)e(in)i(Section)f(4.1\).)415 -3994 y FD(wgt\003ag)231 b FK(This)42 b(is)f(used)g(to)h(indicate)f(if)h -(the)f(graph)h(is)f(weighted.)51 b Fs(wgt\003a)n(g)42 -b FK(can)f(tak)n(e)g(one)h(of)f(four)i(v)l(alues:)1162 -4279 y(0)166 b(No)42 b(weights)f(\(vwgt)h(and)f(adjwgt)h(are)f(both)g -(NULL\).)1162 4532 y(1)166 b(W)-13 b(eights)41 b(on)h(the)f(edges)g -(only)g(\(vwgt)h(is)f(NULL\).)1162 4784 y(2)166 b(W)-13 -b(eights)41 b(on)h(the)f(v)n(ertices)f(only)i(\(adjwgt)g(is)f(NULL\).) -1162 5036 y(3)166 b(W)-13 b(eights)41 b(on)h(both)f(the)h(v)n(ertices)e -(and)h(edges.)415 5322 y FD(num\003ag)167 b FK(This)58 -b(is)f(used)g(to)h(indicate)f(the)g(numbering)h(scheme)e(that)i(is)f -(used)g(for)h(the)f Fs(vtxdist)p FK(,)k Fs(xadj)p FK(,)f -Fs(adjncy)p FK(,)h(and)c Fs(part)1162 5541 y FK(arrays.)51 -b Fs(num\003a)n(g)42 b FK(can)f(tak)n(e)g(one)h(of)f(tw)n(o)h(v)l -(alues:)1162 5827 y(0)166 b(C-style)42 b(numbering)g(that)f(starts)g -(from)h(0.)1162 6079 y(1)166 b(F)n(ortran-style)42 b(numbering)g(that)g -(starts)f(from)h(1.)415 6365 y FD(ndims)314 b FK(The)42 -b(number)g(of)g(dimensions)f(of)g(the)h(space)e(in)i(which)f(the)h -(graph)f(is)g(embedded.)415 6650 y FD(xyz)507 b FK(The)42 -b(array)g(storing)f(the)h(coordinates)f(of)h(the)f(v)n(ertices)f -(\(described)h(in)h(Section)g(4.2\).)415 6936 y FD(ncon)406 -b FK(This)47 b(is)e(used)h(to)g(specify)f(the)h(number)g(of)h(weights)e -(that)h(each)f(v)n(erte)n(x)g(has.)64 b(It)46 b(is)g(also)g(the)f -(number)i(of)f(balance)1162 7155 y(constraints)41 b(that)h(must)f(be)h -(satis\002ed.)415 7441 y FD(nparts)286 b FK(This)54 b(is)f(used)g(to)h -(specify)f(the)g(number)h(of)f(sub-domains)g(that)h(are)f(desired.)87 -b(Note)53 b(that)g(the)h(number)f(of)h(sub-)1162 7660 -y(domains)42 b(is)f(independent)g(of)h(the)f(number)h(of)g(processors)e -(that)i(call)f(this)g(routine.)415 7946 y FD(tpwgts)277 -b FK(An)52 b(array)g(of)g(size)f Fj(ncon)g FK(x)h Fj(nparts)d -FK(that)j(is)g(used)f(to)h(specify)f(the)h(fraction)g(of)h(v)n(erte)n -(x)d(weight)i(that)g(should)1162 8165 y(be)44 b(distrib)m(uted)g(to)g -(each)f(sub-domain)h(for)h(each)e(balance)g(constraint.)58 -b(If)45 b(all)f(of)g(the)g(sub-domains)f(are)h(to)g(be)g(of)1162 -8384 y(the)e(same)e(size)h(for)h(e)l(v)n(ery)f(v)n(erte)n(x)f(weight,)h -(then)h(each)e(of)i(the)g Fj(ncon)e FK(x)h Fj(nparts)e -FK(elements)i(should)g(be)h(set)f(to)g(a)1162 8603 y(v)l(alue)c(of)g -(1/)p Fj(nparts)p FK(.)47 b(If)38 b Fj(ncon)d FK(is)i(greater)f(than)h -(one,)g(the)g(tar)m(get)g(sub-domain)g(weights)f(for)i(each)e -(sub-domain)1162 8822 y(are)50 b(stored)g(contiguously)f(\(similar)i -(to)f(the)g Fj(vwgt)e FK(array\).)76 b(Note)50 b(that)g(the)g(sum)f(of) -h(all)g(of)g(the)g Fj(tpwgts)e FK(for)i(a)1162 9041 y(gi)l(v)n(e)41 -b(v)n(erte)n(x)g(weight)g(should)g(be)h(one.)415 9327 -y FD(ub)n(v)n(ec)336 b FK(An)42 b(array)g(of)g(size)f -Fj(ncon)f FK(that)i(is)g(used)f(to)h(specify)f(the)h(imbalance)f -(tolerance)g(for)i(each)e(v)n(erte)n(x)g(weight,)g(with)h(1)1162 -9546 y(being)47 b(perfect)g(balance)e(and)i Fj(nparts)d -FK(being)j(perfect)g(imbalance.)66 b(A)46 b(v)l(alue)g(of)h(1.05)g(for) -g(each)f(of)h(the)f Fj(ncon)1162 9765 y FK(weights)41 -b(is)h(recommended.)415 10051 y FD(options)231 b FK(This)36 -b(is)f(an)g(array)g(of)h(inte)n(gers)f(that)g(is)g(used)g(to)g(pass)g -(parameters)f(to)i(the)f(routine.)49 b(Their)36 b(meanings)f(are)g -(identical)1162 10270 y(to)42 b(those)f(of)h FA(P)-7 -b(arMETIS)p 2673 10270 V 61 w(V3)p 2937 10270 V 60 w(P)g(ar)7 -b(tKw)n(a)-5 b(y)p FK(.)415 10556 y FD(edgecut)203 b -FK(Upon)51 b(successful)f(completion,)k(the)d(number)g(of)h(edges)e -(that)h(are)g(cut)g(by)h(the)f(partitioning)h(is)f(written)h(to)f(this) -1162 10775 y(parameter)-9 b(.)3817 11298 y(19)p eop -%%Page: 20 20 -20 19 bop 415 166 a FD(part)443 b FK(This)33 b(is)f(an)f(array)i(of)f -(size)f(equal)h(to)g(the)g(number)h(of)f(locally-stored)g(v)n(ertices.) -47 b(Upon)32 b(successful)f(completion)h(the)1162 385 -y(partition)43 b(v)n(ector)d(of)i(the)g(locally-stored)f(v)n(ertices)g -(is)g(written)h(to)g(this)f(array)-11 b(.)51 b(\(See)42 -b(discussion)e(in)i(Section)g(4.4\).)415 671 y FD(comm)314 -b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g(communicator)h(of)f -(the)g(processes)e(that)i(call)k FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)46 b(F)n(or)e(most)g -(programs)1162 890 y(this)e(will)g(point)g(to)f Fj(MPI)p -2607 890 50 7 v 59 w(COMM)p 3066 890 V 58 w(WORLD)p FK(.)0 -1242 y FB(Note)415 1461 y FK(The)58 b(quality)g(of)g(the)g -(partitionings)g(computed)g(by)g FA(P)-7 b(arMETIS)p -4309 1461 V 61 w(V3)p 4573 1461 V 59 w(P)g(ar)7 b(tGeomKw)n(a)-5 -b(y)59 b FK(are)f(comparable)f(to)h(those)f(pro-)415 -1680 y(duced)41 b(by)h FA(P)-7 b(arMETIS)p 1829 1680 -V 61 w(V3)p 2093 1680 V 59 w(P)g(ar)7 b(tKw)n(a)-5 b(y)p -FK(.)51 b(Ho)l(we)l(v)n(er)-7 b(,)41 b(the)g(run)h(time)g(of)f(the)h -(routine)g(may)f(be)g(up)h(to)g(twice)f(as)g(f)n(ast.)3817 -11298 y(20)p eop -%%Page: 21 21 -21 20 bop 0 166 a FB(P)-5 b(arMETIS)p 780 166 50 7 v -60 w(V3)p 1043 166 V 60 w(P)g(ar)s(tGeom)42 b FK(\(idxtype)g(*vtxdist,) -f(int)h(*ndims,)f(\003oat)h(*xyz,)f(idxtype)g(*part,)g(MPI)p -5939 166 V 60 w(Comm)h(*comm\))0 684 y FB(Description)415 -903 y FK(This)64 b(routine)g(is)g(used)f(to)h(compute)g(a)82 -b Fy(p)5 b FK(-w)n(ay)65 b(partitioning)f(of)h(a)e(graph)h(on)83 -b Fy(p)69 b FK(processors)63 b(using)g(a)h(coordinate-based)415 -1122 y(space-\002lling)42 b(curv)n(es)e(method.)0 1474 -y FB(P)-5 b(arameter)n(s)415 1714 y FD(vtxdist)268 b -FK(This)39 b(array)g(describes)f(ho)l(w)g(the)h(v)n(ertices)f(of)h(the) -f(graph)h(are)g(distrib)m(uted)f(among)h(the)g(processors.)49 -b(\(See)39 b(discus-)1162 1933 y(sion)j(in)f(Section)h(4.1\).)51 -b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f(processor) --9 b(.)415 2218 y FD(ndims)314 b FK(The)42 b(number)g(of)g(dimensions)f -(of)g(the)h(space)e(in)i(which)f(the)h(graph)f(is)g(embedded.)415 -2504 y FD(xyz)507 b FK(The)42 b(array)g(storing)f(the)h(coordinates)f -(of)h(the)f(v)n(ertices)f(\(described)h(in)h(Section)g(4.2\).)415 -2790 y FD(part)443 b FK(This)48 b(is)g(an)g(array)g(of)g(size)f(equal)g -(to)h(the)g(number)g(of)g(locally)g(stored)g(v)n(ertices.)69 -b(Upon)48 b(successful)e(completion)1162 3009 y(stores)41 -b(the)h(partition)g(v)n(ector)f(of)h(the)f(locally)h(stored)f(graph)g -(\(described)g(in)h(Section)g(4.4\).)415 3294 y FD(comm)314 -b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g(communicator)h(of)f -(the)g(processes)e(that)i(call)k FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)46 b(F)n(or)e(most)g -(programs)1162 3514 y(this)e(will)g(point)g(to)f Fj(MPI)p -2607 3514 V 59 w(COMM)p 3066 3514 V 58 w(WORLD)p FK(.)0 -3866 y FB(Note)415 4085 y FK(The)64 b(quality)h(of)f(the)h -(partitionings)f(computed)g(by)h FA(P)-7 b(arMETIS)p -4354 4085 V 60 w(V3)p 4617 4085 V 60 w(P)g(ar)7 b(tGeom)66 -b FK(are)e(signi\002cantly)g(w)n(orse)g(than)g(those)415 -4304 y(produced)41 b(by)h FA(P)-7 b(arMETIS)p 2050 4304 -V 61 w(V3)p 2314 4304 V 60 w(P)g(ar)7 b(tKw)n(a)-5 b(y)41 -b FK(and)h FA(P)-7 b(arMETIS)p 4158 4304 V 61 w(V3)p -4422 4304 V 59 w(P)g(ar)7 b(tGeomKw)n(a)-5 b(y)p FK(.)3817 -11298 y(21)p eop -%%Page: 22 22 -22 21 bop 0 166 a FB(P)-5 b(arMETIS)p 780 166 50 7 v -60 w(V3)p 1043 166 V 60 w(P)g(ar)s(tMeshKwa)m(y)43 b -FK(\(idxtype)f(*elmdist,)f(idxtype)h(*eptr)-7 b(,)42 -b(idxtype)f(*eind,)g(idxtype)h(*elmwgt,)2310 385 y(int)g(*wgt\003ag,)f -(int)h(*num\003ag,)g(int)f(*ncon,)g(int)h(*ncommonnodes,)f(int)g -(*nparts,)2310 604 y(\003oat)h(*tpwgts,)f(\003oat)h(*ub)n(v)n(ec,)d -(int)j(*options,)f(int)h(*edgecut,)e(idxtype)i(*part,)2310 -824 y(MPI)p 2615 824 V 60 w(Comm)g(*comm\))0 1342 y FB(Description)415 -1561 y FK(This)d(routine)h(is)f(used)f(to)h(compute)g(a)g -Fy(k)10 b FK(-w)n(ay)39 b(partitioning)h(of)f(a)g Fs(mesh)f -FK(on)58 b Fy(p)45 b FK(processors.)k(The)39 b(mesh)f(can)h(contain)g -(elements)415 1780 y(of)j(dif)l(ferent)g(types.)0 2132 -y FB(P)-5 b(arameter)n(s)415 2371 y FD(elmdist)231 b -FK(This)47 b(array)g(describes)e(ho)l(w)i(the)f(elements)g(of)h(the)f -(mesh)h(are)f(distrib)m(uted)g(among)h(the)g(processors.)65 -b(It)47 b(is)f(anal-)1162 2590 y(ogous)64 b(to)g(the)g -Fj(vtxdist)d FK(array)-11 b(.)119 b(Its)64 b(contents)f(are)h -(identical)g(for)g(e)l(v)n(ery)f(processor)-9 b(.)118 -b(\(See)64 b(discussion)f(in)1162 2809 y(Section)42 b(4.3\).)415 -3036 y FD(eptr)-15 b(,)41 b(eind)1162 3256 y FK(These)64 -b(arrays)g(speci\002es)f(the)g(elements)h(that)g(are)g(stored)g -(locally)g(at)g(each)f(processor)-9 b(.)118 b(\(See)64 -b(discussion)f(in)1162 3475 y(Section)42 b(4.3\).)415 -3760 y FD(elmwgt)231 b FK(This)42 b(array)g(stores)e(the)i(weights)f -(of)h(the)f(elements.)50 b(\(See)42 b(discussion)e(in)i(Section)g -(4.3\).)415 4046 y FD(wgt\003ag)231 b FK(This)42 b(is)f(used)g(to)h -(indicate)f(if)h(the)f(graph)h(is)f(weighted.)51 b Fs(wgt\003a)n(g)42 -b FK(can)f(tak)n(e)g(one)h(of)f(four)i(v)l(alues:)1162 -4332 y(0)166 b(No)42 b(weights)f(\(vwgt)h(and)f(adjwgt)h(are)f(both)g -(NULL\).)1162 4584 y(1)166 b(W)-13 b(eights)41 b(on)h(the)f(edges)g -(only)g(\(vwgt)h(is)f(NULL\).)1162 4836 y(2)166 b(W)-13 -b(eights)41 b(on)h(the)f(v)n(ertices)f(only)i(\(adjwgt)g(is)f(NULL\).) -1162 5089 y(3)166 b(W)-13 b(eights)41 b(on)h(both)f(the)h(v)n(ertices)e -(and)h(edges.)415 5374 y FD(num\003ag)167 b FK(This)41 -b(is)f(used)f(to)i(indicate)f(the)g(numbering)g(scheme)g(that)g(is)g -(used)f(for)i(the)f Fs(elmdist)p FK(,)g Fs(elements)p -FK(,)f(and)h Fs(part)g FK(arrays.)1162 5593 y Fs(num\003a)n(g)i -FK(can)f(tak)n(e)h(one)f(of)h(tw)n(o)g(v)l(alues:)1162 -5879 y(0)166 b(C-style)42 b(numbering)g(that)f(starts)g(from)h(0.)1162 -6131 y(1)166 b(F)n(ortran-style)42 b(numbering)g(that)g(starts)f(from)h -(1.)415 6417 y FD(ncon)406 b FK(This)47 b(is)e(used)h(to)g(specify)f -(the)h(number)g(of)h(weights)e(that)h(each)f(v)n(erte)n(x)g(has.)64 -b(It)46 b(is)g(also)g(the)f(number)i(of)f(balance)1162 -6636 y(constraints)41 b(that)h(must)f(be)h(satis\002ed.)415 -6833 y FD(ncommonnodes)1162 7052 y FK(This)i(parameter)g(determines)g -(the)f(de)n(gree)g(of)i(connecti)l(vity)e(among)h(the)g(v)n(ertices)f -(in)h(the)f(dual)h(graph.)58 b(Speci\002-)1162 7271 y(cally)-11 -b(,)43 b(an)f(edge)g(is)h(placed)f(between)g(an)n(y)f(tw)n(o)j -(elements)d(if)j(and)e(only)h(if)g(the)n(y)f(share)g(at)g(least)g(this) -h(man)n(y)f(nodes.)1162 7490 y(This)53 b(v)l(alue)e(should)h(be)g -(greater)g(than)g(zero,)i(and)e(for)h(most)f(meshes)f(a)h(v)l(alue)f -(of)i(tw)n(o)f(will)h(create)e(reasonable)1162 7710 y(dual)45 -b(graphs.)61 b(Ho)l(we)l(v)n(er)-7 b(,)44 b(depending)g(on)h(the)g -(type)g(of)g(elements)f(in)h(the)g(mesh,)f(v)l(alues)g(greater)h(than)g -(tw)n(o)g(may)1162 7929 y(also)50 b(be)g(v)l(alid)g(choices.)77 -b(F)n(or)50 b(e)n(xample,)h(for)g(meshes)f(containing)g(only)h -(triangular)-7 b(,)53 b(tetrahedral,)f(he)n(xahedral,)1162 -8148 y(or)42 b(rectangular)g(elements,)e(this)h(parameter)h(can)f(be)g -(set)g(to)g(tw)n(o,)h(three,)f(four)-7 b(,)42 b(or)g(tw)n(o,)f -(respecti)l(v)n(ely)-11 b(.)1162 8400 y(Note)51 b(that)f(setting)h -(this)f(parameter)g(to)h(a)f(small)h(v)l(alue)f(will)h(increase)e(the)h -(number)h(of)g(edges)f(in)g(the)h(resulting)1162 8620 -y(dual)42 b(graph)f(and)h(the)f(corresponding)g(partitioning)i(time.) -415 8905 y FD(nparts)286 b FK(This)54 b(is)f(used)g(to)h(specify)f(the) -g(number)h(of)f(sub-domains)g(that)h(are)f(desired.)87 -b(Note)53 b(that)g(the)h(number)f(of)h(sub-)1162 9124 -y(domains)42 b(is)f(independent)g(of)h(the)f(number)h(of)g(processors)e -(that)i(call)f(this)g(routine.)415 9410 y FD(tpwgts)277 -b FK(An)52 b(array)g(of)g(size)f Fj(ncon)g FK(x)h Fj(nparts)d -FK(that)j(is)g(used)f(to)h(specify)f(the)h(fraction)g(of)h(v)n(erte)n -(x)d(weight)i(that)g(should)1162 9629 y(be)44 b(distrib)m(uted)g(to)g -(each)f(sub-domain)h(for)h(each)e(balance)g(constraint.)58 -b(If)45 b(all)f(of)g(the)g(sub-domains)f(are)h(to)g(be)g(of)1162 -9848 y(the)e(same)e(size)h(for)h(e)l(v)n(ery)f(v)n(erte)n(x)f(weight,)h -(then)h(each)e(of)i(the)g Fj(ncon)e FK(x)h Fj(nparts)e -FK(elements)i(should)g(be)h(set)f(to)g(a)1162 10067 y(v)l(alue)c(of)g -(1/)p Fj(nparts)p FK(.)47 b(If)38 b Fj(ncon)d FK(is)i(greater)f(than)h -(one,)g(the)g(tar)m(get)g(sub-domain)g(weights)f(for)i(each)e -(sub-domain)1162 10287 y(are)50 b(stored)g(contiguously)f(\(similar)i -(to)f(the)g Fj(vwgt)e FK(array\).)76 b(Note)50 b(that)g(the)g(sum)f(of) -h(all)g(of)g(the)g Fj(tpwgts)e FK(for)i(a)1162 10506 -y(gi)l(v)n(e)41 b(v)n(erte)n(x)g(weight)g(should)g(be)h(one.)3817 -11298 y(22)p eop -%%Page: 23 23 -23 22 bop 415 166 a FD(ub)n(v)n(ec)336 b FK(An)42 b(array)g(of)g(size)f -Fj(ncon)f FK(that)i(is)g(used)f(to)h(specify)f(the)h(imbalance)f -(tolerance)g(for)i(each)e(v)n(erte)n(x)g(weight,)g(with)h(1)1162 -385 y(being)47 b(perfect)g(balance)e(and)i Fj(nparts)d -FK(being)j(perfect)g(imbalance.)66 b(A)46 b(v)l(alue)g(of)h(1.05)g(for) -g(each)f(of)h(the)f Fj(ncon)1162 604 y FK(weights)41 -b(is)h(recommended.)415 890 y FD(options)231 b FK(This)36 -b(is)f(an)g(array)g(of)h(inte)n(gers)f(that)g(is)g(used)g(to)g(pass)g -(parameters)f(to)i(the)f(routine.)49 b(Their)36 b(meanings)f(are)g -(identical)1162 1109 y(to)42 b(those)f(of)h FA(P)-7 b(arMETIS)p -2673 1109 50 7 v 61 w(V3)p 2937 1109 V 60 w(P)g(ar)7 -b(tKw)n(a)-5 b(y)p FK(.)415 1395 y FD(edgecut)203 b FK(Upon)51 -b(successful)f(completion,)k(the)d(number)g(of)h(edges)e(that)h(are)g -(cut)g(by)h(the)f(partitioning)h(is)f(written)h(to)f(this)1162 -1614 y(parameter)-9 b(.)415 1900 y FD(part)443 b FK(This)33 -b(is)f(an)f(array)i(of)f(size)f(equal)h(to)g(the)g(number)h(of)f -(locally-stored)g(v)n(ertices.)47 b(Upon)32 b(successful)f(completion)h -(the)1162 2119 y(partition)43 b(v)n(ector)d(of)i(the)g(locally-stored)f -(v)n(ertices)g(is)g(written)h(to)g(this)f(array)-11 b(.)51 -b(\(See)42 b(discussion)e(in)i(Section)g(4.4\).)415 2404 -y FD(comm)314 b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g -(communicator)h(of)f(the)g(processes)e(that)i(call)k -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)t FK(.)46 b(F)n(or)e(most)g(programs)1162 2624 y(this)e(will)g -(point)g(to)f Fj(MPI)p 2607 2624 V 59 w(COMM)p 3066 2624 -V 58 w(WORLD)p FK(.)3817 11298 y(23)p eop -%%Page: 24 24 -24 23 bop 0 166 a Ft(5.2)199 b(Graph)54 b(Repar)t(titioning)0 -476 y FB(P)-5 b(arMETIS)p 780 476 50 7 v 60 w(V3)p 1043 -476 V 60 w(AdaptiveRepar)s(t)45 b FK(\(idxtype)d(*vtxdist,)f(idxtype)g -(*xadj,)g(idxtype)h(*adjnc)n(y)-11 b(,)40 b(idxtype)i(*vwgt,)f(idxtype) -h(*vsize,)2365 695 y(idxtype)f(*adjwgt,)g(int)h(*wgt\003ag,)f(int)h -(*num\003ag,)f(int)h(*ncon,)f(int)h(*nparts,)f(\003oat)h(*tpwgts,)2365 -914 y(\003oat)f(*ub)n(v)n(ec,)f(\003oat)i(*itr)-7 b(,)42 -b(int)g(*options,)f(int)g(*edgecut,)g(idxtype)g(*part,)2365 -1133 y(MPI)p 2670 1133 V 60 w(Comm)g(*comm\))0 1570 y -FB(Description)415 1789 y FK(This)h(routine)g(is)f(used)g(to)h(balance) -e(the)i(w)n(ork)g(load)f(of)h(a)f(graph)h(that)f(corresponds)g(to)h(an) -f(adapti)l(v)n(ely)g(re\002ned)g(mesh.)0 2123 y FB(P)-5 -b(arameter)n(s)415 2344 y FD(vtxdist)268 b FK(This)39 -b(array)g(describes)f(ho)l(w)g(the)h(v)n(ertices)f(of)h(the)f(graph)h -(are)g(distrib)m(uted)f(among)h(the)g(processors.)49 -b(\(See)39 b(discus-)1162 2563 y(sion)j(in)f(Section)h(4.1\).)51 -b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f(processor) --9 b(.)415 2778 y FD(xadj,)42 b(adjncy)1162 2998 y FK(These)52 -b(store)g(the)h(\(local\))f(adjacenc)n(y)f(structure)h(of)h(the)f -(graph)g(at)h(each)e(processor)-9 b(.)83 b(\(See)52 b(discussion)f(in)i -(Sec-)1162 3217 y(tion)42 b(4.1\).)415 3426 y FD(vwgt,)f(adjwgt)1162 -3645 y FK(These)g(store)h(the)f(weights)g(of)h(the)f(v)n(ertices)g(and) -g(edges.)50 b(\(See)42 b(discussion)e(in)i(Section)f(4.1\).)415 -3912 y FD(vsize)405 b FK(This)46 b(array)f(stores)g(the)g(size)f(of)i -(the)f(v)n(ertices)f(with)i(respect)e(to)i(redistrib)m(ution)g(costs.) -61 b(Hence,)45 b(v)n(ertices)f(associ-)1162 4131 y(ated)j(with)g(mesh)g -(elements)f(that)h(require)h(a)e(lot)i(of)f(memory)h(will)f(ha)m(v)n(e) -f(lar)m(ger)h(corresponding)g(entries)g(in)g(this)1162 -4351 y(array)-11 b(.)52 b(Otherwise,)40 b(this)h(array)h(is)f(similar)h -(to)g(the)f Fj(vwgt)f FK(array)-11 b(.)51 b(\(See)42 -b(discussion)e(in)i(Section)g(4.1\).)415 4618 y FD(wgt\003ag)231 -b FK(This)42 b(is)f(used)g(to)h(indicate)f(if)h(the)f(graph)h(is)f -(weighted.)51 b Fs(wgt\003a)n(g)42 b FK(can)f(tak)n(e)g(one)h(of)f -(four)i(v)l(alues:)1162 4886 y(0)166 b(No)42 b(weights)f(\(vwgt)h(and)f -(adjwgt)h(are)f(both)g(NULL\).)1162 5129 y(1)166 b(W)-13 -b(eights)41 b(on)h(the)f(edges)g(only)g(\(vwgt)h(is)f(NULL\).)1162 -5372 y(2)166 b(W)-13 b(eights)41 b(on)h(the)f(v)n(ertices)f(only)i -(\(adjwgt)g(is)f(NULL\).)1162 5616 y(3)166 b(W)-13 b(eights)41 -b(on)h(both)f(the)h(v)n(ertices)e(and)h(edges.)415 5883 -y FD(num\003ag)167 b FK(This)58 b(is)f(used)g(to)h(indicate)f(the)g -(numbering)h(scheme)e(that)i(is)f(used)g(for)h(the)f -Fs(vtxdist)p FK(,)k Fs(xadj)p FK(,)f Fs(adjncy)p FK(,)h(and)c -Fs(part)1162 6102 y FK(arrays.)51 b Fs(num\003a)n(g)42 -b FK(can)f(tak)n(e)g(the)h(follo)l(wing)g(tw)n(o)g(v)l(alues:)1162 -6370 y(0)166 b(C-style)42 b(numbering)g(is)f(assumed)f(that)i(starts)f -(from)h(0)1162 6613 y(1)166 b(F)n(ortran-style)42 b(numbering)g(is)f -(assumed)g(that)g(starts)g(from)i(1)415 6881 y FD(ncon)406 -b FK(This)47 b(is)e(used)h(to)g(specify)f(the)h(number)g(of)h(weights)e -(that)h(each)f(v)n(erte)n(x)g(has.)64 b(It)46 b(is)g(also)g(the)f -(number)i(of)f(balance)1162 7100 y(constraints)41 b(that)h(must)f(be)h -(satis\002ed.)415 7367 y FD(nparts)286 b FK(This)54 b(is)f(used)g(to)h -(specify)f(the)g(number)h(of)f(sub-domains)g(that)h(are)f(desired.)87 -b(Note)53 b(that)g(the)h(number)f(of)h(sub-)1162 7587 -y(domains)42 b(is)f(independent)g(of)h(the)f(number)h(of)g(processors)e -(that)i(call)f(this)g(routine.)415 7854 y FD(tpwgts)277 -b FK(An)52 b(array)g(of)g(size)f Fj(ncon)g FK(x)h Fj(nparts)d -FK(that)j(is)g(used)f(to)h(specify)f(the)h(fraction)g(of)h(v)n(erte)n -(x)d(weight)i(that)g(should)1162 8073 y(be)44 b(distrib)m(uted)g(to)g -(each)f(sub-domain)h(for)h(each)e(balance)g(constraint.)58 -b(If)45 b(all)f(of)g(the)g(sub-domains)f(are)h(to)g(be)g(of)1162 -8292 y(the)e(same)e(size)h(for)h(e)l(v)n(ery)f(v)n(erte)n(x)f(weight,)h -(then)h(each)e(of)i(the)g Fj(ncon)e FK(x)h Fj(nparts)e -FK(elements)i(should)g(be)h(set)f(to)g(a)1162 8512 y(v)l(alue)c(of)g -(1/)p Fj(nparts)p FK(.)47 b(If)38 b Fj(ncon)d FK(is)i(greater)f(than)h -(one,)g(the)g(tar)m(get)g(sub-domain)g(weights)f(for)i(each)e -(sub-domain)1162 8731 y(are)50 b(stored)g(contiguously)f(\(similar)i -(to)f(the)g Fj(vwgt)e FK(array\).)76 b(Note)50 b(that)g(the)g(sum)f(of) -h(all)g(of)g(the)g Fj(tpwgts)e FK(for)i(a)1162 8950 y(gi)l(v)n(e)41 -b(v)n(erte)n(x)g(weight)g(should)g(be)h(one.)415 9217 -y FD(ub)n(v)n(ec)336 b FK(An)42 b(array)g(of)g(size)f -Fj(ncon)f FK(that)i(is)g(used)f(to)h(specify)f(the)h(imbalance)f -(tolerance)g(for)i(each)e(v)n(erte)n(x)g(weight,)g(with)h(1)1162 -9437 y(being)47 b(perfect)g(balance)e(and)i Fj(nparts)d -FK(being)j(perfect)g(imbalance.)66 b(A)46 b(v)l(alue)g(of)h(1.05)g(for) -g(each)f(of)h(the)f Fj(ncon)1162 9656 y FK(weights)41 -b(is)h(recommended.)415 9923 y FD(itr)572 b FK(This)43 -b(parameter)f(describes)f(the)h(ratio)h(of)g(inter)m(-processor)f -(communication)g(time)h(compared)f(to)g(data)g(redistri-)1162 -10142 y(b)m(ution)50 b(time.)75 b(It)50 b(should)f(be)g(set)g(between)f -(0.000001)h(and)h(1000000.0.)74 b(If)50 b(ITR)g(is)f(set)g(high,)i(a)e -(repartitioning)1162 10362 y(with)39 b(a)e(lo)l(w)h(edge-cut)g(will)h -(be)e(computed.)50 b(If)39 b(it)f(is)g(set)g(lo)l(w)-11 -b(,)38 b(a)g(repartitioning)h(that)f(requires)g(little)h(data)e -(redistri-)1162 10581 y(b)m(ution)i(will)g(be)f(computed.)50 -b(Good)38 b(v)l(alues)g(for)h(this)g(parameter)f(can)g(be)g(obtained)h -(by)f(di)l(viding)h(inter)m(-processor)1162 10800 y(communication)j -(time)g(by)f(data)g(redistrib)m(ution)h(time.)52 b(Otherwise,)40 -b(a)h(v)l(alue)g(of)h(1000.0)f(is)g(recommended.)3817 -11298 y(24)p eop -%%Page: 25 25 -25 24 bop 415 166 a FD(options)231 b FK(This)38 b(is)e(an)h(array)h(of) -f(inte)n(gers)f(that)h(is)g(used)g(to)g(pass)f(additional)h(parameters) -g(for)h(the)f(routine.)49 b(If)38 b Fs(options[0]=0)p -FK(,)1162 385 y(then)49 b(the)g(def)n(ault)g(v)l(alues)f(are)g(used.)72 -b(If)50 b Fs(options[0]=1)p FK(,)f(then)g(the)g(remaining)g(three)f -(elements)g(of)h Fs(options)g FK(are)1162 604 y(interpreted)42 -b(as)f(follo)l(ws:)1162 890 y(options[1])222 b(This)45 -b(speci\002es)f(the)h(le)l(v)n(el)f(of)h(information)g(to)g(be)g -(returned)g(during)g(the)g(e)n(x)n(ecution)e(of)i(the)g(algo-)2066 -1109 y(rithm.)61 b(T)-6 b(iming)46 b(information)f(can)f(be)h(obtained) -f(by)h(setting)f(this)g(to)h(1.)60 b(Additional)45 b(options)f(for)2066 -1328 y(this)i(parameter)f(can)f(be)h(obtained)g(by)h(looking)f(at)g -(the)g(the)g(\002le)h Fj(defs.h)d FK(in)i(the)g Fj(ParMETIS-)2066 -1548 y(Lib)39 b FK(directory)-11 b(.)51 b(The)40 b(numerical)g(v)l -(alues)f(there)h(should)f(be)h(added)f(to)h(obtain)g(the)g(correct)g(v) -l(alue.)2066 1767 y(The)i(def)n(ault)g(v)l(alue)f(is)g(0.)1162 -2019 y(options[2])222 b(This)42 b(is)f(the)h(random)g(number)f(seed)g -(for)h(the)f(routine.)52 b(The)42 b(def)n(ault)f(v)l(alue)h(is)f(15.) -1162 2271 y(options[3])222 b(This)51 b(speci\002es)e(whether)i(the)f -(sub-domains)g(and)g(processors)g(are)g(coupled)g(or)h(de-coupled.)77 -b(If)2066 2491 y(the)47 b(number)h(of)f(sub-domains)g(desired)f(\()p -Fs(i.e)p FK(.,)h Fj(nparts)p FK(\))f(and)g(the)h(number)h(of)f -(processors)f(that)2066 2710 y(are)k(being)g(used)f(is)h(not)g(the)g -(same,)h(then)f(these)f(must)h(be)g(de-coupled.)76 b(Ho)l(we)l(v)n(er) --7 b(,)51 b(if)f Fj(nparts)2066 2929 y FK(equals)56 b(the)g(number)g -(of)h(processors,)h(these)d(can)h(either)g(be)g(coupled)f(or)i -(de-coupled.)94 b(If)57 b(sub-)2066 3148 y(domains)49 -b(and)g(processors)f(are)h(coupled,)h(then)f(the)g(initial)h -(partitioning)g(will)g(be)e(obtained)h(im-)2066 3367 -y(plicitly)66 b(from)f(the)g(graph)g(distrib)m(ution.)121 -b(Ho)l(we)l(v)n(er)-7 b(,)69 b(if)c(sub-domains)f(are)h(de-coupled)f -(from)2066 3587 y(processors,)44 b(then)g(the)g(initial)h(partitioning) -g(needs)f(to)g(be)h(obtained)f(from)h(the)f(initial)h(v)l(alues)e(as-) -2066 3806 y(signed)j(to)h(the)f Fj(part)f FK(array)-11 -b(.)66 b(A)46 b(v)l(alue)g(of)h(1)g(indicates)e(that)i(sub-domains)f -(and)g(processors)f(are)2066 4025 y(coupled)50 b(and)f(2)g(indicates)g -(that)g(these)g(are)g(de-coupled.)75 b(The)49 b(def)n(ault)h(v)l(alue)f -(is)g(1)h(\(coupled\))g(if)2066 4244 y Fj(nparts)40 b -FK(equals)g(the)i(number)g(of)f(processors)g(and)g(2)h(\(de-coupled\))f -(otherwise.)415 4530 y FD(edgecut)203 b FK(Upon)51 b(successful)f -(completion,)k(the)d(number)g(of)h(edges)e(that)h(are)g(cut)g(by)h(the) -f(partitioning)h(is)f(written)h(to)f(this)1162 4749 y(parameter)-9 -b(.)415 5034 y FD(part)443 b FK(This)33 b(is)f(an)f(array)i(of)f(size)f -(equal)h(to)g(the)g(number)h(of)f(locally-stored)g(v)n(ertices.)47 -b(Upon)32 b(successful)f(completion)h(the)1162 5254 y(partition)44 -b(v)n(ector)e(of)h(the)g(locally-stored)g(v)n(ertices)e(is)i(written)g -(to)g(this)f(array)-11 b(.)55 b(\(See)43 b(discussion)f(in)h(Section)g -(4.4\).)1162 5473 y(If)i(the)f(number)g(of)h(processors)d(does)i(not)g -(equal)g(the)g(number)g(of)g(sub-domains)g(and/or)g(options[3])h(is)f -(set)f(to)h(2,)1162 5692 y(then)38 b(the)g(pre)l(viously)g(computed)g -(partitioning)g(must)g(be)g(passed)f(to)h(the)g(routine)g(as)f(a)h -(parameter)g(via)f(this)h(array)-11 b(.)415 5978 y FD(comm)314 -b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g(communicator)h(of)f -(the)g(processes)e(that)i(call)k FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)46 b(F)n(or)e(most)g -(programs)1162 6197 y(this)e(will)g(point)g(to)f Fj(MPI)p -2607 6197 50 7 v 59 w(COMM)p 3066 6197 V 58 w(WORLD)p -FK(.)3817 11298 y(25)p eop -%%Page: 26 26 -26 25 bop 0 166 a Ft(5.3)199 b(P)-6 b(ar)t(titioning)56 -b(Re\002nement)0 471 y FB(P)-5 b(arMETIS)p 780 471 50 -7 v 60 w(V3)p 1043 471 V 60 w(Re\002neKwa)m(y)43 b FK(\(idxtype)f -(*vtxdist,)f(idxtype)h(*xadj,)f(idxtype)g(*adjnc)n(y)-11 -b(,)41 b(idxtype)g(*vwgt,)h(idxtype)f(*adjwgt,)2072 690 -y(int)h(*wgt\003ag,)f(int)h(*num\003ag,)f(int)h(*ncon,)f(int)h -(*nparts,)f(\003oat)g(*tpwgts,)g(\003oat)h(*ub)n(v)n(ec,)2072 -909 y(int)g(*options,)f(int)h(*edgecut,)e(idxtype)i(*part,)f(MPI)p -5112 909 V 60 w(Comm)h(*comm\))0 1299 y FB(Description)415 -1518 y FK(This)i(routine)h(is)f(used)f(to)i(impro)n(v)n(e)e(the)h -(quality)h(of)f(an)g(e)n(xisting)g(a)f Fy(k)10 b FK(-w)n(ay)44 -b(partitioning)h(on)64 b Fy(p)49 b FK(processors)43 b(using)h(the)g -(multi-)415 1738 y(le)l(v)n(el)d Fy(k)10 b FK(-w)n(ay)41 -b(re\002nement)h(algorithm.)0 2061 y FB(P)-5 b(arameter)n(s)415 -2272 y FD(vtxdist)268 b FK(This)39 b(array)g(describes)f(ho)l(w)g(the)h -(v)n(ertices)f(of)h(the)f(graph)h(are)g(distrib)m(uted)f(among)h(the)g -(processors.)49 b(\(See)39 b(discus-)1162 2491 y(sion)j(in)f(Section)h -(4.1\).)51 b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f -(processor)-9 b(.)415 2696 y FD(xadj,)42 b(adjncy)1162 -2915 y FK(These)52 b(store)g(the)h(\(local\))f(adjacenc)n(y)f -(structure)h(of)h(the)f(graph)g(at)h(each)e(processor)-9 -b(.)83 b(\(See)52 b(discussion)f(in)i(Sec-)1162 3134 -y(tion)42 b(4.1\).)415 3333 y FD(vwgt,)f(adjwgt)1162 -3552 y FK(These)g(store)h(the)f(weights)g(of)h(the)f(v)n(ertices)g(and) -g(edges.)50 b(\(See)42 b(discussion)e(in)i(Section)f(4.1\).)415 -3809 y FD(ncon)406 b FK(This)47 b(is)e(used)h(to)g(specify)f(the)h -(number)g(of)h(weights)e(that)h(each)f(v)n(erte)n(x)g(has.)64 -b(It)46 b(is)g(also)g(the)f(number)i(of)f(balance)1162 -4028 y(constraints)41 b(that)h(must)f(be)h(satis\002ed.)415 -4286 y FD(nparts)286 b FK(This)54 b(is)f(used)g(to)h(specify)f(the)g -(number)h(of)f(sub-domains)g(that)h(are)f(desired.)87 -b(Note)53 b(that)g(the)h(number)f(of)h(sub-)1162 4505 -y(domains)42 b(is)f(independent)g(of)h(the)f(number)h(of)g(processors)e -(that)i(call)f(this)g(routine.)415 4762 y FD(wgt\003ag)231 -b FK(This)42 b(is)f(used)g(to)h(indicate)f(if)h(the)f(graph)h(is)f -(weighted.)51 b Fs(wgt\003a)n(g)42 b FK(can)f(tak)n(e)g(one)h(of)f -(four)i(v)l(alues:)1162 5019 y(0)166 b(No)42 b(weights)f(\(vwgt)h(and)f -(adjwgt)h(are)f(both)g(NULL\).)1162 5257 y(1)166 b(W)-13 -b(eights)41 b(on)h(the)f(edges)g(only)g(\(vwgt)h(is)f(NULL\).)1162 -5496 y(2)166 b(W)-13 b(eights)41 b(on)h(the)f(v)n(ertices)f(only)i -(\(adjwgt)g(is)f(NULL\).)1162 5734 y(3)166 b(W)-13 b(eights)41 -b(on)h(both)f(the)h(v)n(ertices)e(and)h(edges.)415 5991 -y FD(num\003ag)167 b FK(This)58 b(is)f(used)g(to)h(indicate)f(the)g -(numbering)h(scheme)e(that)i(is)f(used)g(for)h(the)f -Fs(vtxdist)p FK(,)k Fs(xadj)p FK(,)f Fs(adjncy)p FK(,)h(and)c -Fs(part)1162 6210 y FK(arrays.)51 b Fs(num\003a)n(g)42 -b FK(can)f(tak)n(e)g(the)h(follo)l(wing)g(tw)n(o)g(v)l(alues:)1162 -6467 y(0)166 b(C-style)42 b(numbering)g(is)f(assumed)f(that)i(starts)f -(from)h(0)1162 6706 y(1)166 b(F)n(ortran-style)42 b(numbering)g(is)f -(assumed)g(that)g(starts)g(from)i(1)415 6963 y FD(tpwgts)277 -b FK(An)52 b(array)g(of)g(size)f Fj(ncon)g FK(x)h Fj(nparts)d -FK(that)j(is)g(used)f(to)h(specify)f(the)h(fraction)g(of)h(v)n(erte)n -(x)d(weight)i(that)g(should)1162 7182 y(be)44 b(distrib)m(uted)g(to)g -(each)f(sub-domain)h(for)h(each)e(balance)g(constraint.)58 -b(If)45 b(all)f(of)g(the)g(sub-domains)f(are)h(to)g(be)g(of)1162 -7401 y(the)e(same)e(size)h(for)h(e)l(v)n(ery)f(v)n(erte)n(x)f(weight,)h -(then)h(each)e(of)i(the)g Fj(ncon)e FK(x)h Fj(nparts)e -FK(elements)i(should)g(be)h(set)f(to)g(a)1162 7620 y(v)l(alue)c(of)g -(1/)p Fj(nparts)p FK(.)47 b(If)38 b Fj(ncon)d FK(is)i(greater)f(than)h -(one,)g(the)g(tar)m(get)g(sub-domain)g(weights)f(for)i(each)e -(sub-domain)1162 7839 y(are)50 b(stored)g(contiguously)f(\(similar)i -(to)f(the)g Fj(vwgt)e FK(array\).)76 b(Note)50 b(that)g(the)g(sum)f(of) -h(all)g(of)g(the)g Fj(tpwgts)e FK(for)i(a)1162 8059 y(gi)l(v)n(e)41 -b(v)n(erte)n(x)g(weight)g(should)g(be)h(one.)415 8316 -y FD(ub)n(v)n(ec)336 b FK(An)42 b(array)g(of)g(size)f -Fj(ncon)f FK(that)i(is)g(used)f(to)h(specify)f(the)h(imbalance)f -(tolerance)g(for)i(each)e(v)n(erte)n(x)g(weight,)g(with)h(1)1162 -8535 y(being)47 b(perfect)g(balance)e(and)i Fj(nparts)d -FK(being)j(perfect)g(imbalance.)66 b(A)46 b(v)l(alue)g(of)h(1.05)g(for) -g(each)f(of)h(the)f Fj(ncon)1162 8754 y FK(weights)41 -b(is)h(recommended.)415 9011 y FD(options)231 b FK(This)36 -b(is)f(an)g(array)g(of)h(inte)n(gers)f(that)g(is)g(used)g(to)g(pass)g -(parameters)f(to)i(the)f(routine.)49 b(Their)36 b(meanings)f(are)g -(identical)1162 9231 y(to)42 b(those)f(of)h FA(P)-7 b(arMETIS)p -2673 9231 V 61 w(V3)p 2937 9231 V 60 w(P)g(ar)7 b(tKw)n(a)-5 -b(y)p FK(.)415 9488 y FD(edgecut)203 b FK(Upon)51 b(successful)f -(completion,)k(the)d(number)g(of)h(edges)e(that)h(are)g(cut)g(by)h(the) -f(partitioning)h(is)f(written)h(to)f(this)1162 9707 y(parameter)-9 -b(.)415 9964 y FD(part)443 b FK(This)33 b(is)f(an)f(array)i(of)f(size)f -(equal)h(to)g(the)g(number)h(of)f(locally-stored)g(v)n(ertices.)47 -b(Upon)32 b(successful)f(completion)h(the)1162 10183 -y(partition)43 b(v)n(ector)d(of)i(the)g(locally-stored)f(v)n(ertices)g -(is)g(written)h(to)g(this)f(array)-11 b(.)51 b(\(See)42 -b(discussion)e(in)i(Section)g(4.4\).)415 10440 y FD(comm)314 -b FK(This)45 b(is)e(a)h(pointer)g(to)g(the)g(MPI)g(communicator)h(of)f -(the)g(processes)e(that)i(call)k FA(P)-10 b FG(A)8 b(R)g -FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)t FK(.)46 b(F)n(or)e(most)g -(programs)1162 10660 y(this)e(will)g(point)g(to)f Fj(MPI)p -2607 10660 V 59 w(COMM)p 3066 10660 V 58 w(WORLD)p FK(.)3817 -11298 y(26)p eop -%%Page: 27 27 -27 26 bop 0 166 a Ft(5.4)199 b(Fill-reducing)55 b(Or)l(derings)0 -485 y FB(P)-5 b(arMETIS)p 780 485 50 7 v 60 w(V3)p 1043 -485 V 60 w(NodeND)42 b FK(\(idxtype)g(*vtxdist,)f(idxtype)h(*xadj,)f -(idxtype)g(*adjnc)n(y)-11 b(,)41 b(int)h(*num\003ag,)f(int)h(*options,) -1789 704 y(idxtype)g(*order)-7 b(,)42 b(idxtype)f(*sizes,)f(MPI)p -4172 704 V 60 w(Comm)i(*comm\))0 1222 y FB(Description)415 -1441 y FK(This)g(routine)g(is)f(used)g(to)h(compute)f(a)g -(\002ll-reducing)i(ordering)f(of)f(a)h(sparse)e(matrix)i(using)g -(multile)l(v)n(el)f(nested)g(dissection.)0 1793 y FB(P)-5 -b(arameter)n(s)415 2032 y FD(vtxdist)268 b FK(This)39 -b(array)g(describes)f(ho)l(w)g(the)h(v)n(ertices)f(of)h(the)f(graph)h -(are)g(distrib)m(uted)f(among)h(the)g(processors.)49 -b(\(See)39 b(discus-)1162 2252 y(sion)j(in)f(Section)h(4.1\).)51 -b(Its)41 b(contents)g(are)g(identical)h(for)g(e)l(v)n(ery)f(processor) --9 b(.)415 2485 y FD(xadj,)42 b(adjncy)1162 2704 y FK(These)56 -b(store)h(the)f(\(local\))h(adjacenc)n(y)e(structure)i(of)g(the)f -(graph)h(at)f(each)g(processor)g(\(See)h(discussion)e(in)i(Sec-)1162 -2923 y(tion)42 b(4.1\).)415 3209 y FD(num\003ag)167 b -FK(This)53 b(is)f(used)g(to)h(indicate)f(the)h(numbering)g(scheme)f -(that)g(is)g(used)g(for)i(the)e Fs(vtxdist)p FK(,)j Fs(xadj)p -FK(,)f Fs(adjncy)p FK(,)h(and)d Fs(or)-6 b(der)1162 3428 -y FK(arrays.)51 b Fs(num\003a)n(g)42 b FK(can)f(tak)n(e)g(the)h(follo)l -(wing)g(tw)n(o)g(v)l(alues:)1162 3714 y(0)166 b(C-style)42 -b(numbering)g(is)f(assumed)f(that)i(starts)f(from)h(0)1162 -3966 y(1)166 b(F)n(ortran-style)42 b(numbering)g(is)f(assumed)g(that)g -(starts)g(from)i(1)415 4252 y FD(options)231 b FK(This)36 -b(is)f(an)g(array)g(of)h(inte)n(gers)f(that)g(is)g(used)g(to)g(pass)g -(parameters)f(to)i(the)f(routine.)49 b(Their)36 b(meanings)f(are)g -(identical)1162 4471 y(to)42 b(those)f(of)h FA(P)-7 b(arMETIS)p -2673 4471 V 61 w(V3)p 2937 4471 V 60 w(P)g(ar)7 b(tKw)n(a)-5 -b(y)p FK(.)415 4756 y FD(order)350 b FK(This)42 b(array)g(returns)f -(the)h(result)f(of)h(the)f(ordering)h(\(described)f(in)h(Section)g -(4.4\).)415 5042 y FD(sizes)423 b FK(This)51 b(array)f(returns)h(the)f -(number)g(of)h(nodes)f(for)g(each)g(sub-domain)g(and)g(each)g -(separator)g(\(described)f(in)i(Sec-)1162 5261 y(tion)42 -b(4.4\).)415 5547 y FD(comm)314 b FK(This)45 b(is)e(a)h(pointer)g(to)g -(the)g(MPI)g(communicator)h(of)f(the)g(processes)e(that)i(call)k -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p -FA(S)t FK(.)46 b(F)n(or)e(most)g(programs)1162 5766 y(this)e(will)g -(point)g(to)f Fj(MPI)p 2607 5766 V 59 w(COMM)p 3066 5766 -V 58 w(WORLD)p FK(.)0 6118 y FB(Note)415 6337 y FA(P)-7 -b(arMETIS)p 1183 6337 V 61 w(V3)p 1447 6337 V 60 w(NodeND)42 -b FK(requires)f(that)h(the)f(number)h(of)g(processors)e(be)i(a)f(po)l -(wer)g(of)h(2.)3817 11298 y(27)p eop -%%Page: 28 28 -28 27 bop 0 166 a Ft(5.5)199 b(Mesh)55 b(to)g(Graph)g(T)-16 -b(ranslation)0 485 y FB(P)-5 b(arMETIS)p 780 485 50 7 -v 60 w(V3)p 1043 485 V 60 w(Mesh2Dual)44 b FK(\(idxtype)e(*elmdist,)f -(idxtype)g(*eptr)-7 b(,)42 b(idxtype)g(*eind,)f(int)g(*num\003ag,)2011 -704 y(int)h(*ncommonnodes,)e(idxtype)i(**xadj,)f(idxtype)g(**adjnc)n(y) --11 b(,)41 b(MPI)p 6043 704 V 60 w(Comm)h(*comm\))0 1222 -y FB(Description)415 1441 y FK(This)e(routine)h(is)e(used)h(to)g -(construct)g(a)f(distrib)m(uted)h(graph)h(gi)l(v)n(en)e(a)h(distrib)m -(uted)g(mesh.)50 b(It)40 b(can)f(be)h(used)g(in)g(conjunction)g(with) -415 1660 y(other)i(routines)f(in)h(the)j FA(P)-10 b FG(A)8 -b(R)g FA(M)-9 b FG(E)-34 b FA(T)g FG(I)p FA(S)48 b FK(library)-11 -b(.)52 b(The)42 b(mesh)f(can)g(contain)g(elements)g(of)h(dif)l(ferent)g -(types.)0 2012 y FB(P)-5 b(arameter)n(s)415 2252 y FD(elmdist)231 -b FK(This)47 b(array)g(describes)e(ho)l(w)i(the)f(elements)g(of)h(the)f -(mesh)h(are)f(distrib)m(uted)g(among)h(the)g(processors.)65 -b(It)47 b(is)f(anal-)1162 2471 y(ogous)64 b(to)g(the)g -Fj(vtxdist)d FK(array)-11 b(.)119 b(Its)64 b(contents)f(are)h -(identical)g(for)g(e)l(v)n(ery)f(processor)-9 b(.)118 -b(\(See)64 b(discussion)f(in)1162 2690 y(Section)42 b(4.3\).)415 -2917 y FD(eptr)-15 b(,)41 b(eind)1162 3136 y FK(These)64 -b(arrays)g(speci\002es)f(the)g(elements)h(that)g(are)g(stored)g -(locally)g(at)g(each)f(processor)-9 b(.)118 b(\(See)64 -b(discussion)f(in)1162 3355 y(Section)42 b(4.3\).)415 -3641 y FD(num\003ag)167 b FK(This)52 b(is)g(used)f(to)h(indicate)f(the) -h(numbering)g(scheme)f(that)h(is)f(used)h(for)g(the)g -Fs(elmdist)p FK(,)h Fs(elements)p FK(,)g Fs(xadj)p FK(,)h -Fs(adjncy)p FK(,)1162 3860 y(and)42 b Fs(part)f FK(arrays.)51 -b Fs(num\003a)n(g)41 b FK(can)g(tak)n(e)h(one)f(of)h(tw)n(o)g(v)l -(alues:)1162 4146 y(0)166 b(C-style)42 b(numbering)g(that)f(starts)g -(from)h(0.)1162 4398 y(1)166 b(F)n(ortran-style)42 b(numbering)g(that)g -(starts)f(from)h(1.)415 4629 y FD(ncommonnodes)1162 4848 -y FK(This)i(parameter)g(determines)g(the)f(de)n(gree)g(of)i(connecti)l -(vity)e(among)h(the)g(v)n(ertices)f(in)h(the)f(dual)h(graph.)58 -b(Speci\002-)1162 5067 y(cally)-11 b(,)43 b(an)f(edge)g(is)h(placed)f -(between)g(an)n(y)f(tw)n(o)j(elements)d(if)j(and)e(only)h(if)g(the)n(y) -f(share)g(at)g(least)g(this)h(man)n(y)f(nodes.)1162 5286 -y(This)53 b(v)l(alue)e(should)h(be)g(greater)g(than)g(zero,)i(and)e -(for)h(most)f(meshes)f(a)h(v)l(alue)f(of)i(tw)n(o)f(will)h(create)e -(reasonable)1162 5505 y(dual)45 b(graphs.)61 b(Ho)l(we)l(v)n(er)-7 -b(,)44 b(depending)g(on)h(the)g(type)g(of)g(elements)f(in)h(the)g -(mesh,)f(v)l(alues)g(greater)h(than)g(tw)n(o)g(may)1162 -5724 y(also)50 b(be)g(v)l(alid)g(choices.)77 b(F)n(or)50 -b(e)n(xample,)h(for)g(meshes)f(containing)g(only)h(triangular)-7 -b(,)53 b(tetrahedral,)f(he)n(xahedral,)1162 5944 y(or)42 -b(rectangular)g(elements,)e(this)h(parameter)h(can)f(be)g(set)g(to)g -(tw)n(o,)h(three,)f(four)-7 b(,)42 b(or)g(tw)n(o,)f(respecti)l(v)n(ely) --11 b(.)1162 6196 y(Note)51 b(that)f(setting)h(this)f(parameter)g(to)h -(a)f(small)h(v)l(alue)f(will)h(increase)e(the)h(number)h(of)g(edges)f -(in)g(the)h(resulting)1162 6415 y(dual)42 b(graph)f(and)h(the)f -(corresponding)g(partitioning)i(time.)415 6649 y FD(xadj,)f(adjncy)1162 -6868 y FK(Upon)37 b(the)f(successful)e(completion)j(of)f(the)h -(routine,)g(pointers)f(to)h(the)f(constructed)g Fj(xadj)e -FK(and)i Fj(adjncy)e FK(arrays)1162 7087 y(will)42 b(be)f(written)h(to) -g(these)f(parameters.)50 b(\(See)42 b(discussion)e(in)i(Section)f -(4.1\).)415 7373 y FD(comm)314 b FK(This)45 b(is)e(a)h(pointer)g(to)g -(the)g(MPI)g(communicator)h(of)f(the)g(processes)e(that)i(call)k -FA(P)-10 b FG(A)8 b(R)g FA(M)-9 b FG(E)-34 b FA(T)g 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