Thanks,
Tony
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TeXDict begin
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y Fz(Do)t(cumen)l(t)44 b(for)f(a)g(Standard)h(Message-P)l(assing)f(In)l
(terface)1242 2393 y Fy(Message)34 b(P)m(assing)f(In)m(terface)h(F)-8
b(orum)1666 2646 y(July)33 b(17,)f(1996)155 2762 y(This)h(w)m(ork)g(w)m
(as)g(supp)s(orted)h(in)e(part)g(b)m(y)i(ARP)-8 b(A)32
b(and)h(NSF)g(under)g(gran)m(t)f(ASC-9310330,)g(the)384
2878 y(National)f(Science)i(F)-8 b(oundation)31 b(Science)j(and)e(T)-8
b(ec)m(hnology)34 b(Cen)m(ter)g(Co)s(op)s(erativ)m(e)152
2994 y(Agreemen)m(t)f(No.)43 b(CCR-8809615,)31 b(and)i(b)m(y)h(the)f
(Commission)d(of)i(the)h(Europ)s(ean)g(Comm)m(unit)m(y)1308
3110 y(through)f(Esprit)h(pro)5 b(ject)33 b(P6643.)p
eop
1 1 bop 332 99 a Fx(This)38 b(is)g(the)i(result)f(of)h(a)g(LaT)-8
b(eX)40 b(run)f(of)g(a)i(draft)e(of)h(a)g(single)e(c)m(hapter)i(of)g
(the)g(MPIF)g(Final)150 211 y(Rep)s(ort)30 b(do)s(cumen)m(t.)1937
5656 y(i)p eop
1 2 bop 150 721 a Fw(Chapter)65 b(5)150 1136 y Fv(Extended)77
b(Collectiv)-6 b(e)76 b(Op)6 b(erations)150 1385 y(and)78
b(Related)f(Issues)150 1867 y Fu(5.1)116 b(Intro)s(duction)150
2070 y Fx(The)30 b(follo)m(wing)f(t)m(yp)s(es)h(of)h(additional)d
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h Ft(MPI-2)p Fx(:)286 2257 y Fs(\017)46 b Fx(Extension)30
b(of)g Ft(MPI)g Fx(collectiv)m(e)h(op)s(erations)f(to)h(in)m(tercomm)m
(unicators,)286 2444 y Fs(\017)46 b Fx(Non-blo)s(c)m(king)30
b(collectiv)m(e)h(comm)m(unication)f(\(async)m(hronous\),)286
2631 y Fs(\017)46 b Fx(P)m(ersisten)m(t)26 b(collectiv)m(e)g(comm)m
(unication)f(\(p)s(ersisten)m(t)g(handles\))f(for)h(b)s(oth)g(in)m
(tracomm)m(unicators)377 2744 y(and)43 b(in)m(tercomm)m(unicators)g
(\(Both)h(blo)s(c)m(king)e(and)h(non)m(blo)s(c)m(king)f(p)s(ersisten)m
(t)g(op)s(erations)g(\(as)377 2857 y(w)m(ell)30 b(as)g(mixed\))g(are)h
(prop)s(osed.\),)286 3044 y Fs(\017)46 b Fx(New)31 b(or)f(extended)h
(collectiv)m(e)f(op)s(erations)g(\()p Fr(e.g.)p Fx(,)g(in-place,)g
(exclusiv)m(e)g(scan,)h(etc\).)286 3232 y Fs(\017)46
b Fx(T)-8 b(op)s(ology)31 b(extensions)f(to)h(in)m(tercomm)m
(unicators,)286 3419 y Fs(\017)46 b Fx(New)31 b(top)s(ology)g
(constructor)f(tec)m(hnology)-8 b(,)286 3606 y Fs(\017)46
b Fx(Pseudo-Collectiv)m(e)30 b(Channels)f(\(for)h(highest)g(p)s
(erformance)g(messaging\).)150 3793 y(This)f(c)m(hapter)i(is)e(also)h
(addresses:)286 3980 y Fs(\017)46 b Fx(Constructors/destructors)30
b(for)f(in)m(tracomm)m(unicators)h(and)f(in)m(tercomm)m(unicators)g
(\(including)377 4093 y(extensions)h(|)g(p)s(ersisten)m(t)g(and)g(non)m
(blo)s(c)m(king)f(forms\),)286 4280 y Fs(\017)46 b Fx(Constructors)30
b(for)g(top)s(ology-orien)m(ted)h(comm)m(unicators.)150
4467 y(F)-8 b(urthermore,)46 b(a)e(general)f(discussion)d(of)j(the)h
(prop)s(erties)d(of)i(non)m(blo)s(c)m(king)f(collectiv)m(e)i(op)s
(erations)150 4580 y(\(b)s(oth)29 b(sync)m(hronizing)f(and)h(non-sync)m
(hronizing\))g(b)s(elongs)f(in)h(this)f(c)m(hapter,)j(and)e(is)g
(included)e(in)i(the)150 4693 y(follo)m(wing.)3220 b
Fs(>)30 b Fq(\(July\))150 4936 y Fp(5.1.1)97 b(Choice)33
b(P)m(oints)h(fo)m(r)e(MPI-2)f(Collective)j(Chapter)150
5107 y Fx(In)h(deciding)f(ho)m(w)i(to)h(v)m(ote)h(on)e(this)f(c)m
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(ourself.)150 5220 y(Should)28 b Ft(MPI-2)j Fx(supp)s(ort)e(the)h
(follo)m(wing)f(p)s(erformance-orien)m(ted)h(features?,)h(en)m
(umerated)f(here:)261 5407 y(1.)46 b(async)m(hronous)30
b(collectiv)m(e)h(op)s(erations)f(\(non-blo)s(c)m(king\),)1927
5656 y(1)p eop
2 3 bop 150 -200 a Fx(2)68 b Fo(CHAPTER)29 b(5.)72 b(EXTENDED)30
b(COLLECTIVE)f(OPERA)-8 b(TIONS)29 b(AND)i(RELA)-8 b(TED)31
b(ISSUES)261 99 y Fx(2.)46 b(p)s(ersisten)m(t)30 b(collectiv)m(e)h(op)s
(erations)e(\(optimized)h(non-blo)s(c)m(king\),)261 286
y(3.)46 b(the)26 b(abilit)m(y)e(to)i(mak)m(e)g(p)s(ersisten)m(t,)g(but)
f(blo)s(c)m(king)f(op)s(erations)h(\(collectiv)m(e)h(and)f(p)s(oin)m
(t-to-p)s(oin)m(t\),)261 474 y(4.)46 b(c)m(hannels)f(for)g(high)e(p)s
(erformance)i(p)s(oin)m(t-to-p)s(oin)m(t)g(messaging,)k(remo)m(ving)c
(an)g(omission)e(in)377 587 y Ft(MPI-1)p Fx(,)261 774
y(5.)j(a)32 b(more)g(general)g(all-to-all)f(call)g(\(W-mo)s(de\),)i
(impro)m(ving)d(the)h(abilit)m(y)f(to)j(do)e(practical)h(matrix)377
887 y(transp)s(ose)755 854 y Fn(1)794 887 y Fx(,)332
1075 y(In)h(addition,)h(should)e Ft(MPI-2)j Fx(supp)s(ort)e(the)h
(follo)m(wing)f(functionalit)m(y-orien)m(ted)g(new)g(features?,)150
1188 y(en)m(umerated)e(here:)261 1375 y(1.)46 b(a)29
b(new)f(t)m(yp)s(e)g(of)g(parallel,)f(non-blo)s(c)m(king)g(library)f
(call)i(\(an)g(abstraction)g(of)h(threads)f(and)f(MPI\),)261
1563 y(2.)46 b(in-place)38 b(collectiv)m(e)h(op)s(erations)f(\()p
Ft(MPI)h Fx(bu\013ers)f(if)g(necessary)-8 b(,)42 b(instead)c(of)g
(user\))h(\(could)f(also)377 1676 y(ha)m(v)m(e)32 b(p)s(erformance)e(b)
s(ene\014ts)f(or)h(male\014ts\),)261 1864 y(3.)46 b(an)31
b(exclusiv)m(e)e(scan)i(op)s(eration,)261 2051 y(4.)46
b(b)s(etter)31 b(constructors)f(for)h(in)m(tercomm)m(unicators,)261
2239 y(5.)46 b(top)s(ology)31 b(extensions)f(and)g(impro)m(v)m(emen)m
(ts.)332 2426 y(A)36 b(further)e(functionalit)m(y)g(c)m(hoice)j(is)d
(whether)h(or)h(not)g(blo)s(c)m(king)e(and)h(non-blo)s(c)m(king)f
(collectiv)m(e)150 2539 y(op)s(erations)d(ma)m(y)i(b)s(e)e(mixed.)44
b(This)30 b(question)h(comes)i(in)d(t)m(w)m(o)j(forms,)f(b)s(ecause)g
(in)m(tercomm)m(unicators)150 2652 y(and)e(in)m(tracomm)m(unicators)g
(are)h(in)m(v)m(olv)m(ed.)40 b(Whic)m(h)30 b(of)h(these)f(approac)m
(hes)h(should)e(b)s(e)g(supp)s(orted?)261 2840 y(1.)46
b(blo)s(c)m(king)29 b(and)h(non-blo)s(c)m(king)f(calls)h(ma)m(y)h(b)s
(e)e(mixed)g(on)i(an)f(in)m(tracomm)m(unicator)261 3028
y(2.)46 b(blo)s(c)m(king)29 b(and)h(non-blo)s(c)m(king)f(calls)h(ma)m
(y)h(b)s(e)e(mixed)g(on)i(an)f(in)m(tercomm)m(unicator)416
3215 y(\(a\))46 b(on)31 b(b)s(oth)e(\\sides,")411 3361
y(\(b\))45 b(eac)m(h)32 b(\\side")e(m)m(ust)g(b)s(e)g(either)g(blo)s(c)
m(king)f(or)h(non-blo)s(c)m(king,)332 3549 y(In)41 b(addition,)h(what)g
(should)e Ft(MPI-2)i Fx(sa)m(y)g(ab)s(out)f(the)h(in)m(teraction)f(of)h
(threads)f(and)g(collectiv)m(e)150 3662 y(op)s(erations?)f(The)30
b(follo)m(wing)e(questions)i(m)m(ust)g(b)s(e)g(answ)m(ered)g
(\(exclusiv)m(ely\):)261 3849 y(1.)46 b Ft(MPI-2)41 b
Fx(supp)s(orts)c(concurrency)j(of)g(collectiv)m(es)g(p)s(er)f(comm)m
(unicator,)j(using)d(tec)m(hniques)g(dis-)377 3962 y(cussed)30
b(in)f(the)i(Miscellan)m(y)e(and)h(Thread)f(Compliance)g(c)m(hapters,)
261 4150 y(2.)46 b Ft(MPI-2)34 b Fx(recommends)e(use)h(of)g(p)s
(ersisten)m(t,)g(blo)s(c)m(king)f(collectiv)m(es)h(when)f(threads)h
(are)g(in)m(v)m(olv)m(ed,)377 4263 y(and)f(do)s(es)g(not)g(promise)f
(an)m(y)i(guaran)m(tee)g(of)g(progress)f(if)f(p)s(ersisten)m(t)g
(collectiv)m(es)i(are)f(not)h(used)377 4376 y(when)d(m)m(ultiple)e
(threads)i(are)g(presen)m(t,)261 4563 y(3.)46 b Ft(MPI-2)31
b Fx(prohibits)d(m)m(ultiple)g(collectiv)m(e)j(op)s(erations)e(on)i(a)g
(comm)m(unicator)f(via)g(threads,)-235 4656 y Fs(?)g
Fq(\(July\))p 150 4717 1440 4 v 254 4771 a(1)288 4803
y Fm(W)-6 b(e)26 b(ha)n(v)n(e)f(not)h(receiv)n(ed)f(a)i(prop)r(osal)g
(for)f(all)h(the)f(collectiv)n(es)h(to)f(ha)n(v)n(e)f(a)i(W-mo)r(de,)e
(so)h(w)n(e)g(only)g(consider)g(all-to-all)150 4894 y(in)g(this)g(c)n
(hapter;)g(otherwise,)h(w)n(e)g(w)n(ould)f(in)n(tro)r(duce)g(another)g
(m)n(ultiplicativ)n(e)f(addition)h(of)h(functions,)f(lik)n(ely)g(to)g
(b)r(e)g(to)r(o)150 4985 y(m)n(uc)n(h)e(for)i Fl(MPI-2)h
Fm(to)e(handle)h(for)g(no)n(w.)3934 92 y Fq(1)3934 205
y(2)3934 318 y(3)3934 431 y(4)3934 544 y(5)3934 657 y(6)3934
770 y(7)3934 882 y(8)3934 995 y(9)3919 1108 y(10)3919
1221 y(11)3919 1334 y(12)3919 1447 y(13)3919 1560 y(14)3919
1673 y(15)3919 1786 y(16)3919 1899 y(17)3919 2012 y(18)3919
2124 y(19)3919 2237 y(20)3919 2350 y(21)3919 2463 y(22)3919
2576 y(23)3919 2689 y(24)3919 2802 y(25)3919 2915 y(26)3919
3028 y(27)3919 3141 y(28)3919 3254 y(29)3919 3366 y(30)3919
3479 y(31)3919 3592 y(32)3919 3705 y(33)3919 3818 y(34)3919
3931 y(35)3919 4044 y(36)3919 4157 y(37)3919 4270 y(38)3919
4383 y(39)3919 4496 y(40)3919 4609 y(41)3919 4721 y(42)3919
4834 y(43)3919 4947 y(44)3919 5060 y(45)3919 5173 y(46)3919
5286 y(47)3919 5399 y(48)p eop
3 4 bop 150 -200 a Fo(5.2.)72 b(NON-BLOCKING)30 b(COLLECTIVE)f
(COMMUNICA)-8 b(TION)1102 b Fx(3)150 99 y Fu(5.2)116
b(Non-Blo)s(cking)36 b(Collective)h(Communication)150
301 y Fx(This)23 b(section)i(prop)s(oses)f(extensions)g(to)h(most)h
(collectiv)m(e)f(comm)m(unication)f(calls)g(\(notable)h(exceptions)150
414 y(are)39 b Ft(M)p Fx(PI)p 490 414 28 4 v 32 w(OP)p
655 414 V 32 w(CREA)-8 b(TE)38 b(and)g Ft(M)p Fx(PI)p
1468 414 V 32 w(OP)p 1633 414 V 32 w(FREE\))h(in)e(a)i(non-blo)s(c)m
(king)e(form.)64 b(F)-8 b(or)40 b(eac)m(h)f(collectiv)m(e)150
527 y(comm)m(unication)34 b(call)g(with)f(name)i Ft(M)p
Fx(PI)p 1597 527 V 32 w(xxx)f(there)h(is)f(to)h(b)s(e)f(a)h(corresp)s
(onding)d(non-blo)s(c)m(king)h(one,)150 640 y(named)39
b Ft(M)p Fx(PI)p 632 640 V 32 w(Ixxx.)67 b(Non-blo)s(c)m(king)38
b(collectiv)m(e)i(comm)m(unication)e(calls)h(ha)m(v)m(e)h(the)f(same)h
(syn)m(tax)g(as)150 753 y(blo)s(c)m(king)f(op)s(erations,)j(with)d(the)
h(addition)f(of)h(a)h Ft(r)p Fx(equest)f(argumen)m(t)h(in)e(the)h(last)
g(p)s(osition)e(of)j(the)150 866 y(argumen)m(t)31 b(list.)3045
b Fs(>)30 b Fq(\(July\))332 1073 y Fk(Discussion:)35
b Fj(The)27 b(bindings)h(for)f(all)g(these)h(op)r(erations)e(m)n(ust)i
(b)r(e)g(added,)f(if)i(accepted.)3750 1184 y Fs(?)h Fq(\(July\))150
1411 y Fp(5.2.1)97 b(Basic)33 b(p)m(rop)s(erties)h(of)e(non-blo)s
(cking)g(collective)h(op)s(erations)150 1583 y Fx(All)c(non-blo)s(c)m
(king)g(collectiv)m(e)i(op)s(erations)e(ha)m(v)m(e)j(the)f(follo)m
(wing)d(prop)s(erties:)261 1771 y(1.)46 b(Non-blo)s(c)m(king)30
b(collectiv)m(e)h(comm)m(unication)f(calls)f(return)g(a)i(request)g
(handle.)377 1921 y(A)69 b(non-blo)s(c)m(king)e(collectiv)m(e)i(comm)m
(unication)f(op)s(eration)g(is)g(completed)g(via)g(calls)g(to)377
2034 y Fi(\(MPI)p 575 2034 29 4 v 34 w Fs(f)p Fi(WAIT|TEST)p
Fs(gf)46 b Fi(|ANY|SOME|ALL)p Fs(g)p Fi(\))p Fx(,)27
b(as)k(for)f(a)g(non-blo)s(c)m(king)f(p)s(oin)m(t-to-p)s(oin)m(t)g
(comm)m(u-)377 2147 y(nication,)h(using)f(as)i(argumen)m(t)f(the)h
(request)f(handle)f(returned)g(b)m(y)i(the)f(collectiv)m(e)h(call.)261
2334 y(2.)46 b(Blo)s(c)m(king)25 b(and)g(non-blo)s(c)m(king)f
(collectiv)m(e)i(comm)m(unication)e(calls)h(ma)m(y)h(b)s(e)e(mixed)g
(and)h(matc)m(hed)377 2447 y(across)58 b(the)f(group)f(of)h(a)g(single)
f(comm)m(unicator)h(\(just)g(as)g(blo)s(c)m(king)e(and)h(non-blo)s(c)m
(king)377 2560 y Fi(SEND/RECV)p Fx(s)28 b(can)j(b)s(e)e(matc)m(hed\).)
377 2710 y(That)23 b(is,)g(some)g(of)f(the)h(participan)m(ts)e(in)h(a)g
(collectiv)m(e)i(comm)m(unication)d(ma)m(y)i(execute)h(a)f(blo)s(c)m
(king)377 2823 y(call,)30 b(while)f(others)h(execute)i(a)f(non-blo)s(c)
m(king)d(call.)377 3055 y Fk(Discussion:)54 b Fj(The)37
b(sub)r(committee)g(is)g(almost)f(ev)n(enly)h(split)g(on)g(this;)42
b(argumen)n(ts)35 b(for)h(and)h(against)377 3154 y(p)r(erformance)31
b(impact)g(on)h(blo)r(c)n(king)e(collectiv)n(e)h(calls)g(will)g(b)r(e)h
(levied)g(b)r(efore)f(the)h(feature)f(is)g(v)n(oted)g(on)377
3254 y(formally)-7 b(.)3056 b Fs(>)30 b Fq(\(July\))377
3404 y Fj(An)d(argumen)n(t)f(in)h(fa)n(v)n(or)e(of)h(this)h
(functionalit)n(y)g(is)g(usabilit)n(y)-7 b(.)36 b(An)27
b(argumen)n(t)e(against)h(is)h(the)g(impact)f(on)377
3517 y(the)j(blo)r(c)n(king)g(collectiv)n(e)f(p)r(erformance,)g
(whether)g(or)g(not)h(the)g(non-blo)r(c)n(king)f(calls)g(are)g
(actually)g(used.)3750 3630 y Fs(?)i Fq(\(July\))261
3912 y Fx(3.)46 b(Collectiv)m(e)33 b(comm)m(unication)f(calls)g(m)m
(ust)h(b)s(e)f(initiated)f(in)g(a)i(consisten)m(t)g(order,)h(follo)m
(wing)d(the)377 4025 y(same)g(rules)e(as)i(for)f(initiation)e(of)i(blo)
s(c)m(king)f(collectiv)m(e)i(comm)m(unication)f(calls)3133
3992 y Fn(2)3172 4025 y Fx(:)486 4238 y Fs(\017)46 b
Fx(All)27 b(non-blo)s(c)m(king)f(\(and)i(blo)s(c)m(king\))f(collectiv)m
(e)i(op)s(erations)e(m)m(ust)h(b)s(e)f(called)h(in)e(the)j(same)577
4351 y(order)i(within)e(a)i(comm)m(unicator.)44 b(Ordering)29
b(b)s(et)m(w)m(een)j(t)m(w)m(o)h(or)e(more)g(comm)m(unicators)h(is)577
4463 y(not)f(required.)486 4610 y Fs(\017)46 b Fx(There)40
b(ma)m(y)i(b)s(e)e(an)g(arbitrary)g(n)m(um)m(b)s(er)f(of)i(outstanding)
e(non-blo)s(c)m(king)g(collectiv)m(e)j(re-)577 4723 y(quests.)486
4869 y Fs(\017)k Fx(Ho)m(w)31 b(man)m(y)g(progress)f(concurren)m(tly)g
(is)f(implemen)m(tation-de\014ned)f(\(1)j(or)g(more\).)p
150 4953 1440 4 v 254 5007 a Fq(2)288 5038 y Fm(The)23
b(cost)g(of)h(relaxing)f(this)g(rule)f(is)h(tagged)h(collectiv)n(e)f
(op)r(erations,)i(whic)n(h)e(ha)n(v)n(e)f(already)h(b)r(een)f(excluded)
g(in)g Fl(MPI-1)150 5130 y Fm(and)j(remo)n(v)n(ed)g(from)g(this)h(c)n
(hapter)f(earlier)i(in)f(its)g(ev)n(olution)g(for)g(the)g(non-blo)r(c)n
(king)f(case.)-64 92 y Fq(1)-64 205 y(2)-64 318 y(3)-64
431 y(4)-64 544 y(5)-64 657 y(6)-64 770 y(7)-64 882 y(8)-64
995 y(9)-80 1108 y(10)-80 1221 y(11)-80 1334 y(12)-80
1447 y(13)-80 1560 y(14)-80 1673 y(15)-80 1786 y(16)-80
1899 y(17)-80 2012 y(18)-80 2124 y(19)-80 2237 y(20)-80
2350 y(21)-80 2463 y(22)-80 2576 y(23)-80 2689 y(24)-80
2802 y(25)-80 2915 y(26)-80 3028 y(27)-80 3141 y(28)-80
3254 y(29)-80 3366 y(30)-80 3479 y(31)-80 3592 y(32)-80
3705 y(33)-80 3818 y(34)-80 3931 y(35)-80 4044 y(36)-80
4157 y(37)-80 4270 y(38)-80 4383 y(39)-80 4496 y(40)-80
4609 y(41)-80 4721 y(42)-80 4834 y(43)-80 4947 y(44)-80
5060 y(45)-80 5173 y(46)-80 5286 y(47)-80 5399 y(48)p
eop
4 5 bop 150 -200 a Fx(4)68 b Fo(CHAPTER)29 b(5.)72 b(EXTENDED)30
b(COLLECTIVE)f(OPERA)-8 b(TIONS)29 b(AND)i(RELA)-8 b(TED)31
b(ISSUES)261 99 y Fx(4.)46 b(Insofar)30 b(as)g(collectiv)m(e)g(calls)f
(are)h(extended)g(to)h(in)m(tercomm)m(unicators)f(elsewhere)f(in)g
(this)f(c)m(hap-)377 211 y(ter,)33 b(the)f(discussion)e(here)i
(applicable)d(to)k(in)m(tracomm)m(unicators)f(shall)e(b)s(e)h(extended)
h(to)h(in)m(ter-)377 324 y(comm)m(unicators.)261 512
y(5.)46 b(Probing)29 b(of)i(collectiv)m(e)g(comm)m(unication)f(is)f
(disallo)m(w)m(ed.)261 700 y(6.)46 b(Limitations)29 b(on)h(the)h(use)f
(of)g(cancel)h(are)g(describ)s(ed)d(in)h(the)i(subsequen)m(t)e(text.)
150 943 y Fp(5.2.2)97 b(Cancel)33 b(limitations)g(and)f(rationale)150
1115 y Ft(MPI)p 318 1115 28 4 v 33 w(Cancel)597 1082
y Fn(3)673 1115 y Fx(is)j(p)s(ermitted)g(for)h(collectiv)m(e)h(op)s
(erations,)g(with)e(the)i(follo)m(wing)e(restrictions)g(and)h(re-)150
1228 y(quiremen)m(ts:)286 1415 y Fs(\017)46 b Ft(MPI)p
545 1415 V 33 w(Cancel)d Fx(is)f(a)h(collectiv)m(e)g(op)s(eration)g
(when)e(applied)g(to)j(non-blo)s(c)m(king)d(collectiv)m(e)i(op)s(er-)
377 1528 y(ations.)72 b(F)-8 b(urthermore,)43 b(there)e(is)f(no)h
(non-blo)s(c)m(king)e(form)h(of)h(this)f(op)s(eration)g(supp)s(osed)f
(b)m(y)377 1641 y Ft(MPI-2)p Fx(.)286 1829 y Fs(\017)46
b Ft(MPI)p 545 1829 V 33 w(Cancel)26 b Fx(tak)m(es)i
Ft(request)e Fx(ob)5 b(jects,)28 b(so)e(ma)m(y)h(only)e(b)s(e)g
(meaningfully)e(p)s(osed)i(on)h(collectiv)m(e)h(op-)377
1942 y(erations)e(that)h(are)g(fully)d(non-blo)s(c)m(king.)37
b(The)25 b(function)f(is)g(explicitly)f(disallo)m(w)m(ed)g(on)i
(collectiv)m(e)377 2054 y(op)s(erations)30 b(that)h(are)g(totally)f(or)
g(partially)f(blo)s(c)m(king.)286 2242 y Fs(\017)46 b
Fx(Mandates)32 b(for)f(b)s(eha)m(vior)g(of)g(cancellation)g(for)g(sp)s
(eci\014c)f(collectiv)m(e)i(op)s(erations)f(is)f(to)i(b)s(e)f(made)377
2355 y(for)f(eac)m(h)i(op)s(eration)e(where)g(non-default)f(b)s(eha)m
(vior)g(is)h(desired.)286 2543 y Fs(\017)46 b Fx(The)35
b(default)g(cancellation)g(b)s(eha)m(vior)f(for)h(non-blo)s(c)m(king)f
(collectiv)m(e)i(op)s(erations)f(is)f(to)i(ignore)377
2656 y(the)31 b(cancellation)f(request.)332 2843 y(The)47
b(actual)g(abilit)m(y)f(of)h Ft(MPI)p 1413 2843 V 33
w(Cancel)g Fx(to)h(e\013ect)h(cancellation)e(of)h(a)f(collectiv)m(e)h
(op)s(eration)f(is)150 2956 y(implemen)m(tation-dep)s(enden)m(t;)d(ho)m
(w)m(ev)m(er,)g(high)c(qualit)m(y)f(implemen)m(tations)g(are)i(mean)m
(t)h(to)f(pro)m(vide)150 3069 y(this)c(capabilit)m(y)f(on)i(calls,)h
(suc)m(h)f(as)g Ft(MPI)p 1632 3069 V 33 w(Spa)m(wn)p
Fx(,)h(where)f(the)g(op)s(eration)f(is)g(long-liv)m(ed,)i(and)e(more)
150 3182 y(lik)m(ely)29 b(to)i(b)s(e)f(sub)5 b(ject)30
b(to)h(non-lo)s(cal)e(deadlo)s(c)m(k)i(or)f(timeout)332
3295 y(Nonetheless,)23 b(this)e(c)m(hapter)h(explicitly)d(restricts)i
(the)h(scop)s(e)f(of)h(cancellation)f(capabilit)m(y)f(to)i(those)150
3408 y(op)s(erations)30 b(that)h(describ)s(e)d(the)j(seman)m(tics)g(of)
f(p)s(erforming)e(the)j(cancellation.)150 3648 y Ft(General)41
b(Rationale:)91 b Fx(Collectiv)m(e)41 b(comm)m(unication)g(calls)f(can)
i(b)s(e)f(quite)g(exp)s(ensiv)m(e.)73 b(Most)42 b(of)g(the)150
3761 y(calls)e(require)f(eac)m(h)j(pro)s(cess)e(to)h(blo)s(c)m(k)f(un)m
(til)f(all)h(pro)s(cesses)g(ha)m(v)m(e)i(reac)m(hed)f(the)g(call,)i
(resulting)38 b(in)150 3874 y(idle)33 b(time)h(when)g(pro)s(cesses)g
(are)h(not)g(tigh)m(tly)f(sync)m(hronized.)52 b(The)34
b(use)h(of)f(non-blo)s(c)m(king)f(collectiv)m(e)150 3987
y(comm)m(unication)27 b(can)g(help)f(alleviate)h(this)g(problem.)38
b(The)27 b(prop)s(osed)f(de\014nition)f(in)m(tro)s(duces)h(no)h(par-)
150 4099 y(ticular)g(implemen)m(tation)g(problems,)h(except)h(that)h(a)
f(request)f(ob)5 b(ject)30 b(ma)m(y)f(no)m(w)f(b)s(e)g(asso)s(ciated)h
(with)150 4212 y(sev)m(eral)h(p)s(oin)m(t-to-p)s(oin)m(t)e(comm)m
(unications)h(\(since)g(the)g(completion)g(of)g(a)h(collectiv)m(e)f
(comm)m(unication)150 4325 y(ma)m(y)k(require)d(sev)m(eral)i(p)s(oin)m
(t-to-p)s(oin)m(t)g(comm)m(unications)f(to)i(complete\).)46
b(Ho)m(w)m(ev)m(er,)35 b(it)c(is)g(debatable)150 4438
y(as)f(to)g(whether)e(non-blo)s(c)m(king)g(collectiv)m(e)i(op)s
(erations)f(ma)m(y)h(b)s(e)e(allo)m(w)m(ed)h(to)h(put)f(an)g(implemen)m
(tation)150 4551 y(or)39 b(p)s(erformance)g(on)m(us)g(on)g
Ft(MPI)g Fx(blo)s(c)m(king)e(collectiv)m(e)j(op)s(erations,)h(since)e
Ft(MPI-2)g Fx(is)g(to)g(b)s(e)g(strictly)150 4664 y(a)c(sup)s(erset.)51
b(The)33 b(p)s(ermissiv)m(e)g(rule)f(that)j(allo)m(ws)f(mixing)e(of)i
(blo)s(c)m(king)f(and)h(non-blo)s(c)m(king)f(across)i(a)-3985
b Fs(>)30 b Fq(\(July\))150 4777 y Fx(group)c(\(for)h(in)m(tracomm)m
(unicators\))g(is)f(seen)h(as)g(a)g(sp)s(eci\014c)f(case)i(where)e(p)s
(erformance)g(of)h(the)g(blo)s(c)m(king)150 4890 y(algorithms)i(is)h
(jeopardized.)-1405 b Fs(?)30 b Fq(\(July\))p 150 4969
1440 4 v 254 5023 a(3)288 5054 y Fm(O\013ered)25 b(as)i(v)n(erbal)e
(input)g(b)n(y)g(J.)h(Co)n(wnie)h(at)f(the)f(April,)h(1996)h(MPI)f(F)-6
b(orum)25 b(meeting.)3934 92 y Fq(1)3934 205 y(2)3934
318 y(3)3934 431 y(4)3934 544 y(5)3934 657 y(6)3934 770
y(7)3934 882 y(8)3934 995 y(9)3919 1108 y(10)3919 1221
y(11)3919 1334 y(12)3919 1447 y(13)3919 1560 y(14)3919
1673 y(15)3919 1786 y(16)3919 1899 y(17)3919 2012 y(18)3919
2124 y(19)3919 2237 y(20)3919 2350 y(21)3919 2463 y(22)3919
2576 y(23)3919 2689 y(24)3919 2802 y(25)3919 2915 y(26)3919
3028 y(27)3919 3141 y(28)3919 3254 y(29)3919 3366 y(30)3919
3479 y(31)3919 3592 y(32)3919 3705 y(33)3919 3818 y(34)3919
3931 y(35)3919 4044 y(36)3919 4157 y(37)3919 4270 y(38)3919
4383 y(39)3919 4496 y(40)3919 4609 y(41)3919 4721 y(42)3919
4834 y(43)3919 4947 y(44)3919 5060 y(45)3919 5173 y(46)3919
5286 y(47)3919 5399 y(48)p eop
5 6 bop 150 -200 a Fo(5.3.)72 b(PERSISTENT)28 b(COLLECTIVE)h(OPERA)-8
b(TIONS)1479 b Fx(5)150 99 y Fu(5.3)116 b(P)m(ersistent)39
b(collective)e(op)s(erations)150 301 y Fx(In)44 b Ft(MPI-1)p
Fx(,)49 b(it)44 b(is)f(stated)j(roughly)d(that)i(the)g(e\013ect)h(of)f
(an)f Ft(MPI)p 2495 301 28 4 v 33 w(SEND)p 2763 301 V
33 w(INIT\(\))h Fx(+)g Ft(MPI)p 3366 301 V 32 w(ST)-8
b(ART\(\))150 414 y Fx(is)45 b(insigni\014can)m(tly)d(di\013eren)m(t)j
(from)g(an)h Ft(M)p Fx(PI)p 1779 414 V 32 w(ISEND\(\),)k(and)45
b(hence)g(there)h(w)m(as)g(no)f(need)h(for)f(an)150 527
y Ft(M)p Fx(PI)p 330 527 V 32 w(ISEND)p 645 527 V 33
w(INIT\(\))30 b(at)h(all.)332 640 y(As)25 b(curren)m(tly)g(w)m(orded)g
(in)g(this)f(c)m(hapter,)k Ft(MPI-2)e Fx(will)d(ha)m(v)m(e)k(non-blo)s
(c)m(king)d(collectiv)m(e)j(op)s(erations)150 753 y(without)43
b(tags.)84 b(Curren)m(tly)-8 b(,)47 b(w)m(e)e(as)f(a)h(F)-8
b(orum)44 b(remain)g(am)m(biv)-5 b(alen)m(t)44 b(as)g(to)h(whether)f
(part)g(of)h(the)150 866 y(comm)m(unicator's)39 b(group)g(ma)m(y)h(use)
e(non-blo)s(c)m(king,)i(and)f(the)g(rest)g(blo)s(c)m(king.)65
b(W)-8 b(e)41 b(address)d(this)g(as)150 979 y(part)30
b(of)h(the)f(discussion)e(that)j(follo)m(ws)1499 946
y Fn(4)1538 979 y Fx(.)332 1092 y(A)f(short)g(de\014nition)e(of)j(the)g
(non-blo)s(c)m(king)d(collectiv)m(e)j(form)m(ulation)e(is)h(as)h(follo)
m(ws:)377 1279 y(F)-8 b(or)34 b(ev)m(ery)f(collectiv)m(e)h(op)s
(eration)e(in)f Ft(MPI-1)p Fx(,)j(a)g(non-blo)s(c)m(king)d([I])i(v)-5
b(arian)m(t)33 b(is)e(supp)s(osed,)377 1392 y(that)21
b(adds)f(a)g(non-p)s(ersisten)m(t)f(request)i(argumen)m(t,)i(whic)m(h,)
e(when)e(used)h(with)f Ft(MPI)p 3212 1392 V 32 w(W)-8
b(AIT/TEST)377 1505 y Fx(suite,)30 b(pro)m(vides)g(a)g(lo)s(cal)g
(completion)g(mec)m(hanism.)377 1656 y(F)-8 b(or)32 b(ev)m(ery)f
(collectiv)m(e)g(op)s(eration)f(p)s(osed)g(elsewhere)g(in)f
Ft(MPI-2)i Fx(\(except)h Ft(MPI)p 3107 1656 V 33 w(Cancel)p
Fx(\),)f(a)377 1768 y(non-blo)s(c)m(king)e([I])i(v)-5
b(arian)m(t)30 b(is)g(created)h(b)m(y)f(implication,)e(as)j(for)f(the)h
Ft(MPI-1)f Fx(op)s(erations.)150 1956 y(F)-8 b(or)25
b(instance,)g(if)d(in)m(tercomm)m(unicator)i(collectiv)m(e)h(op)s
(erations)e(are)h(accepted,)j(then)c(the)h(non-blo)s(c)m(king)150
2069 y(forms)30 b(of)g(those)h(op)s(erations)f(are)h(to)g(b)s(e)e
(de\014ned)h(as)g(w)m(ell.)332 2182 y(An)g(example)g(of)g(a)h(non-blo)s
(c)m(king)e(collectiv)m(e)i(is)e(as)i(follo)m(ws)2420
2149 y Fn(5)2459 2182 y Fx(:)293 2394 y Fi(MPI_IBARRIER\(comm,)43
b(request\))3750 2514 y Fs(>)30 b Fq(\(July\))150 2796
y Ft(MPI)p 318 2796 V 33 w(IBARRIER\(comm\))233 2950
y Fj(IN)312 b Ft(comm)944 b Fj(comm)n(unicator)27 b(\(handle\))150
3199 y Fi(int)47 b(MPI)p 491 3199 29 4 v 33 w(Ibarrier\(MPI)p
1100 3199 V 32 w(Comm)f(comm\))3750 3267 y Fs(?)30 b
Fq(\(July\))332 3372 y Fx(W)-8 b(e)44 b(w)m(an)m(t)g(to)f(retain)g
(this)f(strategy)i(for)f(de\014ning)e(the)i(expanse)g(of)g(collectiv)m
(e)g(non-blo)s(c)m(king)150 3485 y(op)s(erations,)32
b(as)g(there)g(are)g(man)m(y)g(in)f(other)h(c)m(hapters)g(no)m(w,)h(as)
f(w)m(ell)f(as)h(those)g(in)m(tro)s(duced)f(in)f Ft(MPI-1)150
3598 y Fx(and)g(added)f(in)h(the)g(Collectiv)m(e)g(Extensions.)332
3711 y(No)m(w,)i(it)f(is)f(prop)s(osed)g(that)i(there)f(b)s(e)g(p)s
(ersisten)m(t)f(request)h(v)m(ersions,)g(for)g(eac)m(h)h(suc)m(h)f(op)s
(eration,)150 3824 y(in)e(addition:)332 3937 y(Example:)293
4124 y Fi(MPI_BARRIER_INIT\(comm,)42 b(request\);)293
4237 y(...)293 4350 y(MPI_START\(request\);)293 4463
y(...)293 4576 y(MPI_WAIT\(request,)h(status\);)3750
4671 y Fs(>)30 b Fq(\(July\))150 4764 y Fx(with:)120
b Ft(MPI)p 641 4764 28 4 v 33 w(IBARRIER)p 1077 4764
V 32 w(INIT\(comm\))p 150 4848 1440 4 v 254 4902 a Fq(4)288
4933 y Fm(As)24 b(stated)h(ab)r(o)n(v)n(e,)f(our)h(only)f(stra)n(w)h(p)
r(oll)g(w)n(as)g(nearly)f(tied.)34 b(W)-6 b(e)24 b(ha)n(v)n(e)f(tried)i
(not)f(to)g(compromise)f Fl(MPI-1)i Fm(function-)150
5025 y(alit)n(y)31 b(b)n(y)e(adding)h Fl(MPI-2)h Fm(features,)i(and)d
(reducing)g(p)r(erformance)g(of)h Fl(MPI-1)g Fm(features)h(is)e(one)h
(suc)n(h)f(unattractiv)n(e)g(side)150 5116 y(e\013ect.)254
5176 y Fq(5)288 5207 y Fm(In)n(terestingly)-6 b(,)35
b(the)e(non-blo)r(c)n(king)g(barrier)h(sho)n(wn)f(in)g(the)g(examples)g
(w)n(as)h(originally)h(part)e(of)h Fl(MPI-1)g Fm(collectiv)n(e)150
5299 y(c)n(hapter,)26 b(and)f(has)h(made)f(its)h(reapp)r(earance)g(as)h
(part)e(of)i(a)f(consisten)n(t)g(prop)r(osal)h(for)f
Fl(MPI-2)p Fm(.)-64 92 y Fq(1)-64 205 y(2)-64 318 y(3)-64
431 y(4)-64 544 y(5)-64 657 y(6)-64 770 y(7)-64 882 y(8)-64
995 y(9)-80 1108 y(10)-80 1221 y(11)-80 1334 y(12)-80
1447 y(13)-80 1560 y(14)-80 1673 y(15)-80 1786 y(16)-80
1899 y(17)-80 2012 y(18)-80 2124 y(19)-80 2237 y(20)-80
2350 y(21)-80 2463 y(22)-80 2576 y(23)-80 2689 y(24)-80
2802 y(25)-80 2915 y(26)-80 3028 y(27)-80 3141 y(28)-80
3254 y(29)-80 3366 y(30)-80 3479 y(31)-80 3592 y(32)-80
3705 y(33)-80 3818 y(34)-80 3931 y(35)-80 4044 y(36)-80
4157 y(37)-80 4270 y(38)-80 4383 y(39)-80 4496 y(40)-80
4609 y(41)-80 4721 y(42)-80 4834 y(43)-80 4947 y(44)-80
5060 y(45)-80 5173 y(46)-80 5286 y(47)-80 5399 y(48)p
eop
6 7 bop 150 -200 a Fx(6)68 b Fo(CHAPTER)29 b(5.)72 b(EXTENDED)30
b(COLLECTIVE)f(OPERA)-8 b(TIONS)29 b(AND)i(RELA)-8 b(TED)31
b(ISSUES)233 99 y Fj(IN)312 b Ft(comm)944 b Fj(comm)n(unicator)27
b(\(handle\))233 249 y(OUT)217 b Ft(request)900 b Fj(request)27
b(\(p)r(ersisten)n(t)h(handle\))150 498 y Fi(int)47 b(MPI)p
491 498 29 4 v 33 w(Ibarrier)p 908 498 V 33 w(init\(MPI)p
1325 498 V 32 w(Comm)f(comm,)h(MPI)p 2026 498 V 33 w(Request)f
(*request\))-235 578 y Fs(?)30 b Fq(\(July\))332 671
y Fx(This)19 b(op)s(eration,)j(and)e(those)h(with)e(actual)i(data)g
(motion,)h(should)d(b)s(e)h(more)g(optimizable)f(than)i(the)150
784 y(straigh)m(t)37 b(non-blo)s(c)m(king)e(v)-5 b(ariet)m(y)d(,)39
b(b)s(ecause)d(the)h(n)m(um)m(b)s(er)e(of)h(outstanding)g(non-blo)s(c)m
(king)f(p)s(ersisten)m(t)150 896 y(handles)23 b(on)h(a)h(comm)m
(unicator)g(is)f(a)h(hin)m(t)e(to)i(the)g(implemen)m(tation)e(ab)s(out)
i(the)f(p)s(oten)m(tial)g(concurrency)150 1009 y(and)h(amoun)m(t)h(of)g
(safe)h(collectiv)m(e)f(comm)m(unication)f(space)h(needed)g(\()p
Fr(i.e.)p Fx(,)h(extra)f(con)m(texts\).)41 b(Hence,)28
b(for)150 1122 y(situations)j(where)i(non-blo)s(c)m(king)e(collectiv)m
(es)i(are)g(used)f(inside)e(lo)s(ops,)j(the)g(p)s(ersisten)m(t)e(v)-5
b(arieties)33 b(are)150 1235 y(preferable)f(to)j(the)f(nonce)f(forms.)
50 b(\(Of)34 b(course,)g(the)g(p)s(ersisten)m(t)f(forms,)h(whic)m(h)e
(ha)m(v)m(e)j(so-called)e(thin)150 1348 y(in)m(terfaces,)k(do)e(not)h
(let)f(the)h(user)e(c)m(hange)j(an)m(ything)d(except)i(for)g(con)m(ten)
m(ts)h(of)e(bu\013ers,)h(so)f(they)h(are)-3985 b Fs(>)30
b Fq(\(July\))150 1461 y Fx(less)g(\015exible.)-235 1465
y Fs(?)g Fq(\(July\))332 1574 y Fx(Imp)s(ortan)m(tly)-8
b(,)30 b(the)g(initialization)e(of)i(a)h(p)s(ersisten)m(t)e(collectiv)m
(e)i(op)s(eration)f(is)g(collectiv)m(e.)377 1786 y Fr(A)-5
b(dvic)g(e)43 b(to)h(implementors.)152 b Fx(F)-8 b(or)42
b(language)g(bindings)d(that)j(use)g(b)m(y-reference)g(parameter)377
1899 y(passing,)47 b(ha)m(v)m(e)f(w)m(e)e(explicitly)e(restricted)i(c)m
(hanges)h(to)g(just)f(bu\013er)f(con)m(ten)m(ts,)50 b(or)44
b(can)h(tags)377 2012 y(c)m(hange,)25 b(etc?)39 b(Is)21
b(there)h(canon)g(on)g(this)f(issue)f(somewhere?)38 b(\()p
Fr(End)25 b(of)g(advic)-5 b(e)25 b(to)h(implementors.)p
Fx(\))332 2225 y(The)i(existence)i(of)f(p)s(ersisten)m(t)f(collectiv)m
(e)h(op)s(erations)f(where)h(data)g(sizes)g(and)f(other)i(argumen)m(ts)
150 2338 y(are)i(frozen,)h(should)d(b)s(e)h(m)m(uc)m(h)h(more)g
(optimizable,)f(and)g(amenable)h(to)g(p)s(oly-algorithmic)e(selection.)
150 2451 y(Curren)m(tly)-8 b(,)35 b(b)s(ecause)h(argumen)m(ts)f(can)g
(c)m(hange,)j(and)d(in)f(some)h(op)s(erations,)h(need)f(not)h(b)s(e)e
(the)i(same)150 2563 y(across)26 b(all)f(pro)s(cesses,)i(it)f(w)m(ould)
e(b)s(e)h(exhorbitan)m(tly)g(exp)s(ensiv)m(e)g(to)i(try)f(to)g(c)m(ho)s
(ose)h(the)f(b)s(est)g(algorithm)150 2676 y(on)31 b(the)g(\015y)-8
b(.)42 b(The)30 b(p)s(ersisten)m(t)g(approac)m(h)h(rew)m(ards)f(reuse,)
h(and)g(op)s(ens)f(the)h(do)s(or)f(to)h(implemen)m(tations)150
2789 y(that)e(study)f(the)h(collectiv)m(e)g(problem)e(on)i(the)f
Ft(MPI)p 1940 2789 28 4 v 33 w(*)p 2018 2789 V 33 w(INIT)i
Fx(call,)e(and)g(then)g(do)h(it)f(more)h(e\016cien)m(tly)f(at)150
2902 y(eac)m(h)k Ft(MPI)p 523 2902 V 32 w(ST)-8 b(ART)p
Fx(.)150 3142 y Ft(\(Prop)s(osed)39 b(Action\))91 b Fx(In)38
b(summary)-8 b(,)39 b(there)f(should)e(b)s(e)i(p)s(ersisten)m(t)f(v)-5
b(arian)m(ts)38 b(for)f(eac)m(h)j Ft(MPI-2)e Fx(non-)150
3255 y(blo)s(c)m(king)26 b(collectiv)m(e)h(call.)39 b(These)27
b(are)g(fundamen)m(tally)e(the)i(most)g(imp)s(ortan)m(t)f(for)h(high)e
(p)s(erformance.)150 3368 y(The)34 b(non-p)s(ersisten)m(t)f(v)m
(ersions)h(should)e(b)s(e)i(pro)m(vided)f(as)h(tolerable)g(\\syn)m
(tactic)i(sugar,")g(as)f(they)f(do)150 3481 y(not)d(signi\014can)m(tly)
d(increase)i(implemen)m(tation)f(e\013ort,)j(y)m(et)f(aid)f(the)g(user)
g(considerably)-8 b(.)150 3768 y Fu(5.4)116 b(Intercommunicato)m(r)34
b(Constructo)m(rs)150 3970 y Fx(The)26 b(curren)m(t)g
Ft(MPI)g Fx(in)m(terface)h(pro)m(vides)e(only)h(t)m(w)m(o)i(in)m
(tercomm)m(unicator)e(construction)g(routines)f(\([)p
Fh(?)p Fx(]\):)286 4158 y Fs(\017)46 b Ft(M)p Fh(PI)p
574 4158 32 4 v 38 w(INTER)m(COMM)p 1304 4158 V 36 w(CREA)-9
b(TE)p Fx(,)22 b(creates)h(an)f(in)m(tercomm)m(unicator)g(from)f(t)m(w)
m(o)i(in)m(tracom-)377 4271 y(m)m(unicators,)286 4459
y Fs(\017)46 b Ft(M)p Fh(PI)p 574 4459 V 38 w(COMM)p
965 4459 V 37 w(DUP)p Fx(,)28 b(duplicates)e(an)i(existing)e(in)m
(tercomm)m(unicator)h(\(or)h(in)m(tracomm)m(unica-)377
4572 y(tor\).)150 4759 y(The)41 b(other)h(comm)m(unicator)h
(constructors,)i Ft(M)p Fx(PI)p 1939 4759 28 4 v 32 w(COMM)p
2274 4759 V 33 w(CREA)-8 b(TE)41 b(and)g Ft(M)p Fx(PI)p
3094 4759 V 32 w(COMM)p 3429 4759 V 33 w(SPLIT,)150 4872
y(curren)m(tly)28 b(apply)h(only)f(to)i(in)m(tracomm)m(unicators.)41
b(These)29 b(op)s(erations)g(in)f(fact)i(ha)m(v)m(e)h(w)m
(ell-de\014ned)c(se-)150 4985 y(man)m(tics)g(for)g(in)m(tercomm)m
(unicators.)40 b(One)27 b(other)g(in)m(tercomm)m(unicator)g
(constructor)h(for)f(partitioning)150 5098 y(in)m(tracomm)m(unicators)j
(in)m(to)h(m)m(ultiple)d(in)m(tercomm)m(unicators)i(is)f(also)h(prop)s
(osed.)3934 92 y Fq(1)3934 205 y(2)3934 318 y(3)3934
431 y(4)3934 544 y(5)3934 657 y(6)3934 770 y(7)3934 882
y(8)3934 995 y(9)3919 1108 y(10)3919 1221 y(11)3919 1334
y(12)3919 1447 y(13)3919 1560 y(14)3919 1673 y(15)3919
1786 y(16)3919 1899 y(17)3919 2012 y(18)3919 2124 y(19)3919
2237 y(20)3919 2350 y(21)3919 2463 y(22)3919 2576 y(23)3919
2689 y(24)3919 2802 y(25)3919 2915 y(26)3919 3028 y(27)3919
3141 y(28)3919 3254 y(29)3919 3366 y(30)3919 3479 y(31)3919
3592 y(32)3919 3705 y(33)3919 3818 y(34)3919 3931 y(35)3919
4044 y(36)3919 4157 y(37)3919 4270 y(38)3919 4383 y(39)3919
4496 y(40)3919 4609 y(41)3919 4721 y(42)3919 4834 y(43)3919
4947 y(44)3919 5060 y(45)3919 5173 y(46)3919 5286 y(47)3919
5399 y(48)p eop
7 8 bop 150 -200 a Fo(5.4.)62 b(INTER)m(COMMUNICA)-8
b(TOR)30 b(CONSTR)m(UCTORS)1453 b Fx(7)150 99 y Ft(MPI)p
318 99 28 4 v 33 w(COMM)p 636 99 V 31 w(CREA)-8 b(TE\()31
b(comm)p 1302 99 V 34 w(in,)g(group,)g(comm)p 1961 99
V 34 w(out)g(\))233 253 y Fj(IN)312 b Ft(comm)p 871 253
V 34 w(in)841 b Fj(original)26 b(comm)n(unicator)233
403 y(IN)312 b Ft(group)958 b Fj(group)27 b(of)g(pro)r(cess)g(to)g(b)r
(e)h(in)g(new)g(comm)n(unicator)233 553 y(OUT)217 b Ft(comm)p
871 553 V 34 w(out)785 b Fj(new)28 b(comm)n(unicator)150
802 y Fx(If)36 b Ft(c)p Fx(omm)p 489 802 V 34 w(in)f(is)h(an)h(in)m
(tercomm)m(unicator,)i(then)d(the)h(output)g(comm)m(unicator)g(is)f
(also)h(an)f(in)m(tercom-)150 915 y(m)m(unicator)42 b(where)g(the)g(lo)
s(cal)g(side)f(consists)h(only)f(of)i(those)g(pro)s(cesses)f(con)m
(tained)g(in)f Ft(g)p Fx(roup)h(\(see)150 1028 y(\014gure)d(5.1\).)69
b(The)39 b Ft(g)p Fx(roup)f(argumen)m(t)i(should)d(only)i(con)m(tain)g
(those)h(pro)s(cesses)f(in)f(the)i(lo)s(cal)e(group)150
1141 y(of)33 b(the)h(input)d(in)m(tercomm)m(unicator)i(that)h(are)f(to)
h(b)s(e)f(a)g(part)g(of)h Ft(c)p Fx(omm)p 2664 1141 V
33 w(out.)49 b(If)33 b(the)g Ft(g)p Fx(roup)g(do)s(es)g(not)150
1254 y(sp)s(ecify)38 b(at)i(least)g(one)g(pro)s(cess)f(on)g(the)h(lo)s
(cal)f(side)f(of)i(the)g(in)m(tercomm)m(unicator,)i(or)d(if)g(the)g
(calling)150 1367 y(pro)s(cess)30 b(is)f(not)i(included)d(in)h(the)h
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2137 1367 V 33 w(NULL)g(is)g(returned.)750 3774 y @beginspecial
36.500000 @llx 316.500000 @lly 516.500000 @urx 774.500000
@ury 2880 @rwi @setspecial
/MAV 300 dict def
MAV begin
/useClip true def
/top 0 def
/left 1 def
/bottom 2 def
/right 3 def
/CM 6 array def
/CTM 6 array def
/CTMR 6 array def
/MTC 6 array def
/blimit 1500 def
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/rbox 8 array def
/segbox 8 array def
/bbox1 4 array def
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/c2 3 array def
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/delta 3 array def
/mycurrentrgbcolor 3 array def
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/sp [0 0] def
/ep [0 0] def
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/currentcolorscreen where {
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currentcolorscreen
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3 1 roll pop pop
4 2 roll pop pop
5 -2 roll pop pop
6 -2 roll pop pop
/kProc exch def
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/gProc exch def
/rProc exch def
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/Max {2 copy gt {pop}{exch pop} ifelse} bind def
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/cellPenW 72.0 /currentcolorscreen where
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6 1 roll pop pop Max Max Max }
{currentscreen pop pop} ifelse div 2.0 div def
/rect {
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R PC PF LC SS
saveobj restore
} bind def
/R {
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pbox astore pop
0 792 translate 1 -1 scale CTMR currentmatrix pop exch translate
/objectCord mstore def
pbox right get 2 div
dup pbox left get exch sub
pbox left 3 -1 roll put
dup pbox right 3 -1 roll put
pbox bottom get 2 div
dup pbox top get exch sub
pbox top 3 -1 roll put
dup pbox bottom 3 -1 roll put
translate
CTM currentmatrix pop
57.3 mul rotate
RT
} bind def
/SaveScreenBW {
currentscreen
/scrnProc exch def
/scrnAngle exch def
/scrnFreq exch def
} bind def
/RestoreScreenBW {
scrnFreq scrnAngle MAV /scrnProc get setscreen
} bind def
/SetFreqAngleBW {
currentscreen
3 1 roll
pop pop
setscreen
} bind def
/SaveScreenColor {
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/grayProc exch def
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/bProc exch def
/bAngle exch def
/bFreq exch def
/gProc exch def
/gAngle exch def
/gFreq exch def
/rProc exch def
/rAngle exch def
/rFreq exch def
} bind def
/RestoreColorScreen {
rFreq rAngle MAV /rProc get gFreq gAngle MAV /gProc get bFreq bAngle MAV /bProc get grayFreq grayAngle MAV /grayProc get setcolorscreen
} bind def
/SetFreqAngleColor {
currentcolorscreen
3 1 roll pop pop
4 2 roll pop pop
5 -2 roll pop pop
6 -2 roll pop pop
4 1 roll
6 1 roll
8 1 roll
10 1 roll
setcolorscreen
} bind def
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userdict begin
/mdict 10 dict def
mdict begin
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} bind def
/decmindex {
/mindex mindex 1 sub def
} bind def
/checkmindex {
mindex 0 lt {
(%ERROR: msave/mrestore stack underflow: Offending command 'mrestore'
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stop
}
{
mindex mstacksize ge {
(%ERROR: msave/mrestore stack overflow: Offending command 'msave'
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stop
} if
} ifelse
} bind def
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incmindex
checkmindex
mstack mindex
3 -1 roll put
} bind def
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checkmindex
mstack mindex get
decmindex
} bind def
end
end
} bind def
/msave {
mdict begin
matrix currentmatrix mpush
end
} bind def
/mrestore {
mdict begin
mpop setmatrix
end
} bind def
/msavelevel {
mdict begin
mindex 1 add
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} bind def
/mstore {
matrix currentmatrix
} bind def
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dup 3 1 roll
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pl exch pop
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} bind def
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transform
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0.25 sub round 0.25 add exch
itransform
} bind def
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round exch
round exch
itransform
} bind def
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round exch
round exch
idtransform
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pl moveto
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/l {
pl lineto
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pl curveto
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pr rmoveto
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pr rlineto
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5 -2 roll pl
5 2 roll
arc
} bind def
/an {
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5 2 roll
arcn
} bind def
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/FontDict 20 dict def
FontDict begin
/FontName exch def
/Encoding exch def
/FontMatrix [1 0 0 1 0 0 ] def
/FontType 3 def
/FontBBox [ 0 0 1 1 ] def
/PatternDict exch def
/RenderPattern {
patternDict exch get
exec
} bind def
/BuildChar {
exch begin
1 0 0 0 1 1 setcachedevice
Encoding exch get RenderPattern
end
} bind def
FontName FontDict definefont pop
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} bind def
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exch
dup 0 lt {
1 index sub
} if
1 index
div truncate
mul
} bind def
/FillPatternString {
dup length
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0 1 3 -1 roll {
2 index
2 index
3 -2 roll
put
} for
pop pop
} bind def
/AutoSizeY {
0.0 exch dtransform
round
idtransform exch pop
} bind def
/AutoSizeX {
0.0 dtransform
exch
round
exch
idtransform pop
} bind def
/AutoCellSize {
AutoSizeY
exch
AutoSizeX
exch
} bind def
/CheckPath {
false
{ pop pop pop true exit}
{ pop pop pop true exit}
{ pop pop pop pop pop pop pop true exit}
{ pop true exit}
pathforall
} bind def
/PatternFill { % patternCharacter
/patternString 1 string def
/cm mstore def
patternMatrix setmatrix
1 1 AutoCellSize
dup 0 eq { pop 1} if
exch
dup 0 eq { pop 1} if
exch
/patternSize exch 24.0 mul def
/PatternSizeX exch 24.0 mul patternString length mul def
/flaterror 0 def
patternString FillPatternString
gsave
flaterror 1 add setflat
flattenpath
pathbbox
grestore
psy add flaterror add psy SnapToPattenGrid
exch psx add flaterror add psx SnapToPattenGrid
3 -1 roll flaterror sub psy SnapToPattenGrid
4 -1 roll flaterror sub psx SnapToPattenGrid
4 2 roll pll
4 2 roll pll
/llxsnap exch def
/llysnap exch def
/urxsnap exch def
/urysnap exch def
gsave
useClip true eq {clip}{eoclip} ifelse newpath
/PatternFont findfont [psx 0.0 0.0 psy 0.0 0.0] makefont setfont
llysnap patternSize urysnap {
llxsnap exch moveto
llxsnap PatternSizeX urxsnap {
pop
patternString show
%currentpoint am
} for
} bind for
grestore
cm setmatrix
} bind def % End 'PatternFill'
/DefaultPatternFont {
/cm mstore def
patternMatrix setmatrix
1 1 AutoCellSize
dup 0 eq { pop 1} if
exch
dup 0 eq { pop 1} if
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/psy exch iSizeY mul def
/psx exch iSizeX mul def
/patternDict 64 dict def
patternDict begin
/NotDef {} def
/LiteDiagLines {
iSizeX iSizeY false [iSizeX 0.0 0.0 iSizeY -1.0 mul 0.0 iSizeY]
{pat}
imagemask
} bind def
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0 255 1 {
CustEncoding exch /NotDef put
} bind for
CustEncoding 65 /LiteDiagLines put
patternDict CustEncoding /PatternFont MakePatternFont
/pathSegProc {
strokepath
CheckPath {
65 PatternFill newpath
} if
} bind def
cm setmatrix
} bind def
/XRound {
dup
3 -1 roll
exch mul round
exch div
} bind def
/RoundMatrix {
/i 0 def
dup {
100000.0 XRound
1 index
exch i exch put
/i i 1 add def
} forall
} bind def
/GetBoxesRatio {
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7 1 roll
exch sub
6 1 roll
3 -1 roll sub
5 1 roll
exch sub
4 1 roll
3 -1 roll div
3 1 roll
exch div
exch
} bind def
/T {792 exch sub} bind def
/sx 0 def
/sy 0 def
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/U {gsave 0 setlinecap
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fontkind plain eq
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lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto stroke
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{
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{
fontkind outline eq
{
/sy sy 0.0119444 siz mul sub def
/ey ey 0.0119444 siz mul sub def
gsave
1 1 1 setrgbcolor lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto stroke
grestore
lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto
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} if
fontkind shadow eq fontkind outlineshadow eq or
{
/sy sy 0.0358332 siz mul sub def
/ey ey 0.0358332 siz mul sub def
lw setlinewidth
lw 2 div sx add sy
lw 2 div sub moveto
lw 2 div ex add ey
lw 2 div sub lineto stroke
gsave
1 1 1 setrgbcolor lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto stroke
grestore
lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto
strokepath 0.0119444 siz mul setlinewidth stroke
} if
} if
} ifelse
grestore} bind def
/plain 1 def
/outline 2 def
/shadow 3 def
/outlineshadow 4 def
/fess {
currentdict /outlineFontSize known {
/outlineFontSize 2 index def
} if
findfont exch dup /siz exch def scalefont setfont
} bind def
/SHDW {gsave siz oldfontname fess siz 0.055 mul x add y siz 0.05 mul sub moveto c show grestore} def
/NRML {gsave 1 1 1 setrgbcolor siz oldfontname fess x y moveto c show grestore siz /Outline fess x y moveto c show} def
/S {
fontkind plain eq {neg moveto show} if
fontkind outline eq {neg /y exch def /x exch def /c exch def NRML} if
fontkind shadow eq {neg /y exch def /x exch def /c exch def SHDW NRML} if
fontkind outlineshadow eq {neg /y exch def /x exch def /c exch def SHDW NRML} if
} bind def
/F {
/fontkind exch def
fontkind plain eq {fess} if
fontkind outline eq {dup /oldfontname exch def exch dup /siz exch def exch OLF} if
fontkind shadow eq {dup /oldfontname exch def exch dup /siz exch def exch OLF} if
fontkind outlineshadow eq {dup /oldfontname exch def exch dup /siz exch def exch OLF} if
} bind def
/makeoutlinedict 15 dict def
/makeoutlinefont
{
makeoutlinedict begin
/uniqueid exch def
/strokewidth exch def
/newfontname exch def
/basefontname exch def
/basefontdict basefontname findfont def
/numentries basefontdict maxlength 1 add def
basefontdict /UniqueID known not
{/numentries numentries 1 add def} if
/outfontdict numentries dict def
basefontdict
{
exch dup /FID ne {exch outfontdict 3 1 roll put} {pop pop} ifelse
}forall
outfontdict /FontName newfontname put
outfontdict /PaintType 2 put
outfontdict /StrokeWidth strokewidth put
outfontdict /UniqueID uniqueid put
newfontname outfontdict definefont pop
end
}def
/UID {
findfont dup /UniqueID known
{/UniqueID get 1 add}
{pop 1}
ifelse
} def
/OLF {
dup
/Outline
1000 62 div
4 -1 roll
UID
/outlineFontSize 5 index def
makeoutlinefont
/Outline findfont exch scalefont setfont
} def
/CopyEncoding {
findfont
/Encoding get
dup length array
/tarrayz exch def
tarrayz 0
3 -1 roll
putinterval
tarrayz
} bind def
/Re-encode {
dup length array copy
/eap 0 def
exch {
dup type /integertype eq {
/eap exch def
} {
1 index
exch
eap exch
put
/eap eap 1 add def
} ifelse
} forall
} bind def
/EncodeFont {
findfont dup
length dict
begin
{ 1 index /FID ne
{ def }
{ pop pop } ifelse
} forall
/FontName exch def
/Encoding exch def
FontName currentdict
end
definefont pop
} bind def
/clip2pathbbox {
/magicNum linewidth 2 div 1 2 sqrt div mul def
pathbbox
/urymn exch magicNum add def
/urxmn exch magicNum add def
/llymn exch magicNum sub def
/llxmn exch magicNum sub def
newpath llxmn llymn moveto llxmn urymn lineto urxmn urymn lineto urxmn llymn lineto
closepath clip newpath
} bind def
/Line {
MAV /LC get length 0 ne
{
gsave
newpath
MAV /ArrowType get length 0 eq
MAV /SD get length 0 eq and
{2 setlinecap /UseClip {clip2pathbbox} def }
{0 setlinecap /UseClip {} def } ifelse
0 792 translate
1 -1 scale
CTM currentmatrix pop
/yStart exch def /xStart exch def /yEnd exch def /xEnd exch def /linewidth exch def
MAV /ArrowType get length 0 eq xStart xEnd ne yStart yEnd ne and and
{xStart yStart moveto xEnd yEnd lineto UseClip xStart yStart moveto xEnd yEnd lineto}
{xStart yStart moveto xEnd yEnd lineto} ifelse
linewidth setlinewidth SD strokepath
CheckPath {LC PF ArrowType} if
grestore
}
{pop pop pop pop pop} ifelse
} bind def
/CompensateForStroke {
sin currentlinewidth mul
exch
cos currentlinewidth mul
dup 0 translate
4 -1 roll exch 2.0 mul sub
3 1 roll
2.0 mul sub
} bind def
/arrowdict 10 dict def
arrowdict begin
/SwallowTail {
newpath
0.0 0.0 moveto
1.0 -.5 lineto
.666 0.0 lineto
1.0 .5 lineto
closepath
} bind def
/Triangular {
newpath
0.0 0.0 moveto
1.0 -.5 lineto
1.0 .5 lineto
closepath
} bind def
/OpenTri {
newpath
1.0 0.5 moveto
0.0 0.0 lineto
1.0 -0.5 lineto
} bind def
/ClosedTri {
newpath
1.0 0.5 moveto
0.0 0.0 lineto
1.0 -0.5 lineto
closepath
} bind def
/SlashBar {
newpath
0.5 -.5 moveto
-.5 0.5 lineto
} bind def
/Dot {
newpath
0.5 0.0 moveto
0 0 1 0 360 arc
closepath
} bind def
/ExtSlashBar {
newpath
1.0 -.5 moveto
0.0 0.5 lineto
} bind def
end
/ScaleArrowHead {
0 0 4 -2 roll
0 0 1 1
8 -4 roll GetBoxesRatio
scale
} bind def
/DrawArrowHead {
gsave
[] 0 setdash
currentpoint translate rotate
{
4 copy
gsave
initmatrix
100 200 translate
msave
ScaleArrowHead pop
arrowdict exch get exec
mrestore
strokepath
0 0 3 index 3 index
pathbbox 8 4 roll
GetBoxesRatio
4 2 roll
grestore
3 index 1.0 exch sub
6 -1 roll
{
2 index mul
0 translate
}{
pop
} ifelse
msave
ScaleArrowHead scale
arrowdict exch get exec
mrestore
strokepath
} {
msave
ScaleArrowHead
arrowdict exch get exec
mrestore
} ifelse
CheckPath {
LC PF
} if
grestore
} bind def
/SR {
pbox left get pbox top get moveto
pbox right get pbox top get lineto
pbox right get pbox bottom get lineto
pbox left get pbox bottom get lineto
closepath
} bind def
/RR1 {
pbox top get pbox bottom get sub abs
pbox left get pbox right get sub abs
2 copy lt {
Min
2 div dup dup dup
pbox left get add pbox left 3 -1 roll put
pbox right get exch sub pbox right 3 -1 roll put
pbox left get pbox bottom get moveto
pbox right get 0 3 -1 roll 90 -90 arcn
pbox left get 0 3 -1 roll -90 90 arcn closepath
} {
Min
2 div dup dup dup
pbox bottom get exch sub pbox bottom 3 -1 roll put
pbox top get add pbox top 3 -1 roll put
pbox left get pbox bottom get moveto
pbox left get add pbox top get
2 index
180 0 arc
dup pbox left get add pbox bottom get
3 -1 roll 0 180 arc
closepath
} ifelse
} bind def
/RR2 {
dup dup dup dup dup dup dup dup
pbox top get add pbox top 3 -1 roll put
pbox left get add pbox left 3 -1 roll put
pbox bottom get exch sub pbox bottom 3 -1 roll put
pbox right get exch sub pbox right 3 -1 roll put
pbox bottom get add pbox left get exch moveto
pbox right get pbox bottom get 3 -1 roll 90 0 arcn
pbox right get pbox top get 3 -1 roll 0 270 arcn
pbox left get pbox top get 3 -1 roll 270 180 arcn
pbox left get pbox bottom get 3 -1 roll 180 90 arcn closepath
} bind def
/E {
1.415 setmiterlimit
CM currentmatrix pop
pbox right get pbox left get sub abs dup
pbox bottom get pbox top get sub abs dup 3 -1 roll
lt {exch dup 3 -1 roll exch div 1 exch}
{dup 3 -1 roll exch div 1} ifelse scale
0 0 3 -1 roll 2 div 0 360 arc closepath
CM setmatrix
} bind def
/StripFromFront {
dup length
2 index sub
3 1 roll
exch 3 -1 roll
getinterval
} bind def
/MakePathArray {
/k 0 def
{/k k 1 add def pop pop}{/k k 1 add def pop pop}{/k k 1 add def pop pop pop pop pop pop}{/k k 1 add def }pathforall
k array
/k 0 def
{{moveto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{lineto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{curveto} 7 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{closepath} 1 array astore 1 index k 3 -1 roll put /k k 1 add def}
pathforall
}bind def
/MakeFlatPathArray {
/k 0 def
{/k k 1 add def pop pop}{/k k 1 add def pop pop}{pop pop pop pop pop pop}{}pathforall
k array
/k 0 def
{{moveto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{lineto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{ pop pop pop pop pop pop}
{}
pathforall
}bind def
/FractionalLine {
2 index sub
.00001 mul
exch
3 index sub
.00001 mul
4 -1 roll add
3 1 roll
add
} bind def
/calcLineLength {
exch
4 -1 roll
sub
dup mul
3 1 roll exch
sub
dup mul
add sqrt
} bind def
/InitTotalLineLength {
/oldY exch def
/oldX exch def
theDash aload pop currentLineLength add setdash
} bind def
/AccumeLineLength {
3 copy pop
2 copy
oldX oldY
4 2 roll calcLineLength
/segmentLength exch def
/currentLineLength currentLineLength segmentLength add def
/oldY exch def
/oldX exch def
} bind def
/DecumeLastLineLength {
/currentLineLength currentLineLength segmentLength sub def
} bind def
/DrawFlattendSegment {
/pointCount 2 def
dup 0 lt { pop 0 } if
fpc
3 1 roll
2 index
1 index
gt {
2 copy get
dup length
dup 3 eq {
pop
dup 0 get
exch 1 get
2 copy InitTotalLineLength
m
} {
} ifelse
} {
pop 1 index
} ifelse
dup 1 add
3 index
exch sub
dup 10 gt { pop 10} if
{
1 add
2 copy
get aload pop
AccumeLineLength
exec
} repeat
3 1 roll pop pop
DecumeLastLineLength
} bind def
/IncFPC {
fpc add
/fpc exch def
} bind def
/DrawFlatPathArray {
fpc
0 {
dup 2 index
1 sub
lt {
flatPathArray exch
newpath
1 sub DrawFlattendSegment
gsave
pathSegProc
grestore
newpath
}
{
pop pop
exit
} ifelse
} loop
} bind def
/RecordFirstSubSegment {
closepathArray 0 pathArray 0 get
put
closepathArray 1
pathArray 0 get aload pop pop
pathArray 1 get dup length 3 eq {
aload pop pop
} {
newpath
0 0 moveto
aload pop exec
/segmentArray flattenpath MakeFlatPathArray def
segmentArray 1 get aload pop pop
} ifelse
FractionalLine {lineto} 3 array astore
put
} bind def
/AppendClosePath {
closepathArray 0 get 2 {lineto} put
flatPathArray fpc closepathArray 0 get put
1 IncFPC
flatPathArray fpc closepathArray 1 get put
1 IncFPC
} bind def
/RecordCurrentDash {
/theDash
currentdash 2 array astore def
/currentLineLength 0 def
} bind def
/PatternStroke {
0 setlinecap
RecordCurrentDash
/saveFlat currentflat def
.5 setflat
/pathArray MakePathArray def
/closepathArray 2 array def
/pathLength pathArray length def
/flatPathArray 513 array def
/currentLineLength 0 def
/fpc 0 def
pathArray pathLength 1 sub get
length 1 eq {
/usingClosepath true def
RecordFirstSubSegment
/pathLength pathLength 1 sub def
} {
/usingClosepath false def
} ifelse
0 1 pathLength 1 sub {
pathArray exch get
dup length 3 eq {
fpc 1 add 512 ge {
DrawFlatPathArray
fpc 2 ge {
flatPathArray flatPathArray fpc 2 sub get 0 put
flatPathArray flatPathArray fpc 1 sub get 1 put
/fpc 2 def
}{
/fpc 0 def
} ifelse
} if
flatPathArray exch fpc exch put
1 IncFPC
} {
dup length 7 eq {
newpath
/nToStrip 0 def
fpc 1 gt {
flatPathArray fpc 2 sub get aload pop pop m
flatPathArray fpc 1 sub get aload pop exec
/nToStrip 2 def
} {
fpc 1 eq {
flatPathArray fpc 1 sub get aload pop exec
/nToStrip 2 def
} if
} ifelse
aload pop exec
/segmentArray flattenpath MakeFlatPathArray def
/segmentArray nToStrip segmentArray StripFromFront def
segmentArray length fpc add 512 lt {
flatPathArray fpc segmentArray putinterval
segmentArray length IncFPC
} {
DrawFlatPathArray
fpc 1 gt {
flatPathArray flatPathArray fpc 2 sub get 0 exch put
flatPathArray flatPathArray fpc 1 sub get 1 exch put
/fpc 2 def
}{
/fpc 0 def
} ifelse
segmentArray length 512 lt {
flatPathArray fpc segmentArray putinterval
segmentArray length IncFPC
} {
segmentArray length
/exitLoop false def
0
{
2 copy sub
dup 500 gt {
pop 500
} {
/exitLoop true def
} ifelse
segmentArray 2 index 2 index getinterval
flatPathArray fpc 3 -1 roll putinterval
dup IncFPC
add
exitLoop {
exit
} {
DrawFlatPathArray
fpc 1 gt {
flatPathArray flatPathArray fpc 2 sub get 0 exch put
flatPathArray flatPathArray fpc 1 sub get 1 exch put
/fpc 2 def
}{
/fpc 0 def
} ifelse
} ifelse
} loop
} ifelse
} ifelse
} if
} ifelse
} for
fpc 0 gt {
usingClosepath {
AppendClosePath
} if
DrawFlatPathArray
} if
saveFlat setflat
} bind def
/rampdelta {
/len 0 3 -1 roll add def
/i2 0 3 -1 roll add def
/i1 0 3 -1 roll add def
/nRampSteps len cellPenW div cvi 1 add dup 512 gt {pop 512} if def
/rampPenW len nRampSteps div def
rampColors i1 get aload pop c1 astore pop
rampColors i2 get aload pop c2 astore pop
c2 0 get c1 0 get sub nRampSteps div d 0 3 -1 roll put
c2 1 get c1 1 get sub nRampSteps div d 1 3 -1 roll put
c2 2 get c1 2 get sub nRampSteps div d 2 3 -1 roll put
d aload pop
} bind def
/adddelta {
d astore pop
mycurrentrgbcolor c1 copy pop
c1 0 get d 0 get add c2 0 3 -1 roll put
c1 1 get d 1 get add c2 1 3 -1 roll put
c1 2 get d 2 get add c2 2 3 -1 roll put
c2 aload pop setrgbcolor
c2 mycurrentrgbcolor copy pop
} bind def
/rampline {
segbox ulx get rampPenW add segbox ulx 3 -1 roll put
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b(rank)47 b(=)g(0;)g(/*)h(rank)e(on)h(left)g(side)g(to)g(include)f(in)h
(new)g(inter-comm)e(*/)532 5270 y(/*)i(Construct)e(the)i(original)f
(intercommunicator:)d("inter_comm")h(*/)532 5383 y(...)-64
92 y Fq(1)-64 205 y(2)-64 318 y(3)-64 431 y(4)-64 544
y(5)-64 657 y(6)-64 770 y(7)-64 882 y(8)-64 995 y(9)-80
1108 y(10)-80 1221 y(11)-80 1334 y(12)-80 1447 y(13)-80
1560 y(14)-80 1673 y(15)-80 1786 y(16)-80 1899 y(17)-80
2012 y(18)-80 2124 y(19)-80 2237 y(20)-80 2350 y(21)-80
2463 y(22)-80 2576 y(23)-80 2689 y(24)-80 2802 y(25)-80
2915 y(26)-80 3028 y(27)-80 3141 y(28)-80 3254 y(29)-80
3366 y(30)-80 3479 y(31)-80 3592 y(32)-80 3705 y(33)-80
3818 y(34)-80 3931 y(35)-80 4044 y(36)-80 4157 y(37)-80
4270 y(38)-80 4383 y(39)-80 4496 y(40)-80 4609 y(41)-80
4721 y(42)-80 4834 y(43)-80 4947 y(44)-80 5060 y(45)-80
5173 y(46)-80 5286 y(47)-80 5399 y(48)p eop
8 9 bop 150 -200 a Fx(8)78 b Fo(CHAPTER)29 b(5.)62 b(EXTENDED)30
b(COLLECTIVE)f(OPERA)-8 b(TIONS)29 b(AND)i(RELA)-8 b(TED)31
b(ISSUES)532 211 y Fi(/*)47 b(Construct)e(the)i(group)g(of)g(processes)
e(to)i(be)g(in)h(new)e(intercommunicator)e(*/)532 324
y(if)j(\(/*)g(I'm)g(on)g(the)g(left)g(side)f(of)h(the)g
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776 y(else)627 889 y(MPI_Comm_group)e(\()k(inter_comm,)c(&group)i(\);)
532 1115 y(MPI_Comm_create)d(\()48 b(inter_comm,)d(group,)h
(&new_inter_comm)d(\);)150 1491 y Ft(MPI)p 318 1491 28
4 v 33 w(COMM)p 636 1491 V 31 w(SPLIT\()31 b(comm)p 1207
1491 V 34 w(in,)f(colo)m(r,)i(k)m(ey)-8 b(,)33 b(comm)p
2004 1491 V 34 w(out)d(\))233 1646 y Fj(IN)312 b Ft(comm)p
871 1646 V 34 w(in)841 b Fj(original)26 b(comm)n(unicator)233
1796 y(IN)312 b Ft(colo)m(r)993 b Fj(color)27 b(of)g(subset)h
(assignmen)n(t)233 1946 y(IN)312 b Ft(k)m(ey)1050 b Fj(color)27
b(of)g(rank)g(assignmen)n(t)233 2097 y(OUT)217 b Ft(comm)p
871 2097 V 34 w(out)785 b Fj(new)28 b(comm)n(unicator)150
2345 y Fx(The)c(result)f(of)h(split)e(on)i(an)g(in)m(tercomm)m
(unicator)g(is)g(that)g(those)h(pro)s(cesses)f(on)g(the)g(left)g(with)f
(the)i(same)150 2458 y Ft(c)p Fx(olor)31 b(as)f(those)h(pro)s(cesses)f
(on)h(the)f(righ)m(t)g(com)m(bine)g(to)i(create)g(a)e(new)g(in)m
(tercomm)m(unicator.)41 b(The)30 b Ft(k)p Fx(ey)150 2571
y(argumen)m(t)24 b(describ)s(es)e(the)i(relativ)m(e)g(rank)g(of)g(pro)s
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(\(see)150 2684 y(\014gure)34 b(5.2\).)56 b(F)-8 b(or)36
b(those)f(colors)g(that)g(are)h(sp)s(eci\014ed)d(only)h(on)h(one)g
(side)f(of)h(the)g(in)m(tercomm)m(unicator)150 2797 y(but)30
b(not)g(the)h(other,)g Fg(M)p Fx(PI)p 1071 2797 V 32
w(COMM)p 1406 2797 V 33 w(NULL)f(is)f(returned.)40 b
Fg(M)p Fx(PI)p 2383 2797 V 32 w(COMM)p 2718 2797 V 33
w(NULL)30 b(is)g(also)g(returned)f(to)150 2910 y(those)i(pro)s(cesses)f
(that)h(sp)s(ecify)e Fg(M)p Fx(PI)p 1452 2910 V 32 w(UNDEFINED)j(as)e
(the)h(color.)150 3150 y Ft(Example)36 b(\(P)m(a)m(rallel)g
(client-server)h(mo)s(del\))91 b Fx(The)36 b(follo)m(wing)e(clien)m(t)h
(co)s(de)h(illustrates)e(ho)m(w)i(clien)m(ts)f(on)150
3263 y(the)i(left)f(side)f(of)i(an)g(in)m(tercomm)m(unicator)f(could)g
(b)s(e)g(assigned)f(to)j(a)f(single)e(serv)m(er)i(from)f(a)h(p)s(o)s
(ol)e(of)150 3376 y(serv)m(ers)30 b(on)h(the)f(righ)m(t)g(side)g(of)g
(an)g(in)m(tercomm)m(unicator.)532 3564 y Fi(/*)47 b(Client)f(code)h
(*/)532 3676 y(MPI_Comm)93 b(multiple_server_comm;)532
3789 y(MPI_Comm)g(single_server_comm;)532 3902 y(int)333
b(color,)46 b(rank,)h(num_servers;)532 4128 y(/*)g(Create)f
(intercommunicator)d(with)k(clients)f(and)h(servers:)675
4241 y(multiple_server_comm)42 b(*/)532 4354 y(...)532
4580 y(/*)47 b(Find)g(out)g(the)f(number)h(of)g(servers)f(available)f
(*/)532 4693 y(MPI_Comm_remote_size)d(\()48 b(multiple_server_comm,)42
b(&num_servers)i(\);)532 4918 y(/*)j(Determine)e(my)i(color)g(*/)532
5031 y(MPI_Comm_rank)d(\()j(multiple_server_comm,)42
b(&rank)47 b(\);)532 5144 y(color)f(=)i(rank)e(\045)i(num_servers;)532
5370 y(/*)f(Split)f(the)h(intercommunicator)c(*/)3934
92 y Fq(1)3934 205 y(2)3934 318 y(3)3934 431 y(4)3934
544 y(5)3934 657 y(6)3934 770 y(7)3934 882 y(8)3934 995
y(9)3919 1108 y(10)3919 1221 y(11)3919 1334 y(12)3919
1447 y(13)3919 1560 y(14)3919 1673 y(15)3919 1786 y(16)3919
1899 y(17)3919 2012 y(18)3919 2124 y(19)3919 2237 y(20)3919
2350 y(21)3919 2463 y(22)3919 2576 y(23)3919 2689 y(24)3919
2802 y(25)3919 2915 y(26)3919 3028 y(27)3919 3141 y(28)3919
3254 y(29)3919 3366 y(30)3919 3479 y(31)3919 3592 y(32)3919
3705 y(33)3919 3818 y(34)3919 3931 y(35)3919 4044 y(36)3919
4157 y(37)3919 4270 y(38)3919 4383 y(39)3919 4496 y(40)3919
4609 y(41)3919 4721 y(42)3919 4834 y(43)3919 4947 y(44)3919
5060 y(45)3919 5173 y(46)3919 5286 y(47)3919 5399 y(48)p
eop
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pbox left get pbox bottom get moveto
pbox right get 0 3 -1 roll 90 -90 arcn
pbox left get 0 3 -1 roll -90 90 arcn closepath
} {
Min
2 div dup dup dup
pbox bottom get exch sub pbox bottom 3 -1 roll put
pbox top get add pbox top 3 -1 roll put
pbox left get pbox bottom get moveto
pbox left get add pbox top get
2 index
180 0 arc
dup pbox left get add pbox bottom get
3 -1 roll 0 180 arc
closepath
} ifelse
} bind def
/RR2 {
dup dup dup dup dup dup dup dup
pbox top get add pbox top 3 -1 roll put
pbox left get add pbox left 3 -1 roll put
pbox bottom get exch sub pbox bottom 3 -1 roll put
pbox right get exch sub pbox right 3 -1 roll put
pbox bottom get add pbox left get exch moveto
pbox right get pbox bottom get 3 -1 roll 90 0 arcn
pbox right get pbox top get 3 -1 roll 0 270 arcn
pbox left get pbox top get 3 -1 roll 270 180 arcn
pbox left get pbox bottom get 3 -1 roll 180 90 arcn closepath
} bind def
/E {
1.415 setmiterlimit
CM currentmatrix pop
pbox right get pbox left get sub abs dup
pbox bottom get pbox top get sub abs dup 3 -1 roll
lt {exch dup 3 -1 roll exch div 1 exch}
{dup 3 -1 roll exch div 1} ifelse scale
0 0 3 -1 roll 2 div 0 360 arc closepath
CM setmatrix
} bind def
/StripFromFront {
dup length
2 index sub
3 1 roll
exch 3 -1 roll
getinterval
} bind def
/MakePathArray {
/k 0 def
{/k k 1 add def pop pop}{/k k 1 add def pop pop}{/k k 1 add def pop pop pop pop pop pop}{/k k 1 add def }pathforall
k array
/k 0 def
{{moveto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{lineto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{curveto} 7 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{closepath} 1 array astore 1 index k 3 -1 roll put /k k 1 add def}
pathforall
}bind def
/MakeFlatPathArray {
/k 0 def
{/k k 1 add def pop pop}{/k k 1 add def pop pop}{pop pop pop pop pop pop}{}pathforall
k array
/k 0 def
{{moveto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{lineto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{ pop pop pop pop pop pop}
{}
pathforall
}bind def
/FractionalLine {
2 index sub
.00001 mul
exch
3 index sub
.00001 mul
4 -1 roll add
3 1 roll
add
} bind def
/calcLineLength {
exch
4 -1 roll
sub
dup mul
3 1 roll exch
sub
dup mul
add sqrt
} bind def
/InitTotalLineLength {
/oldY exch def
/oldX exch def
theDash aload pop currentLineLength add setdash
} bind def
/AccumeLineLength {
3 copy pop
2 copy
oldX oldY
4 2 roll calcLineLength
/segmentLength exch def
/currentLineLength currentLineLength segmentLength add def
/oldY exch def
/oldX exch def
} bind def
/DecumeLastLineLength {
/currentLineLength currentLineLength segmentLength sub def
} bind def
/DrawFlattendSegment {
/pointCount 2 def
dup 0 lt { pop 0 } if
fpc
3 1 roll
2 index
1 index
gt {
2 copy get
dup length
dup 3 eq {
pop
dup 0 get
exch 1 get
2 copy InitTotalLineLength
m
} {
} ifelse
} {
pop 1 index
} ifelse
dup 1 add
3 index
exch sub
dup 10 gt { pop 10} if
{
1 add
2 copy
get aload pop
AccumeLineLength
exec
} repeat
3 1 roll pop pop
DecumeLastLineLength
} bind def
/IncFPC {
fpc add
/fpc exch def
} bind def
/DrawFlatPathArray {
fpc
0 {
dup 2 index
1 sub
lt {
flatPathArray exch
newpath
1 sub DrawFlattendSegment
gsave
pathSegProc
grestore
newpath
}
{
pop pop
exit
} ifelse
} loop
} bind def
/RecordFirstSubSegment {
closepathArray 0 pathArray 0 get
put
closepathArray 1
pathArray 0 get aload pop pop
pathArray 1 get dup length 3 eq {
aload pop pop
} {
newpath
0 0 moveto
aload pop exec
/segmentArray flattenpath MakeFlatPathArray def
segmentArray 1 get aload pop pop
} ifelse
FractionalLine {lineto} 3 array astore
put
} bind def
/AppendClosePath {
closepathArray 0 get 2 {lineto} put
flatPathArray fpc closepathArray 0 get put
1 IncFPC
flatPathArray fpc closepathArray 1 get put
1 IncFPC
} bind def
/RecordCurrentDash {
/theDash
currentdash 2 array astore def
/currentLineLength 0 def
} bind def
/PatternStroke {
0 setlinecap
RecordCurrentDash
/saveFlat currentflat def
.5 setflat
/pathArray MakePathArray def
/closepathArray 2 array def
/pathLength pathArray length def
/flatPathArray 513 array def
/currentLineLength 0 def
/fpc 0 def
pathArray pathLength 1 sub get
length 1 eq {
/usingClosepath true def
RecordFirstSubSegment
/pathLength pathLength 1 sub def
} {
/usingClosepath false def
} ifelse
0 1 pathLength 1 sub {
pathArray exch get
dup length 3 eq {
fpc 1 add 512 ge {
DrawFlatPathArray
fpc 2 ge {
flatPathArray flatPathArray fpc 2 sub get 0 put
flatPathArray flatPathArray fpc 1 sub get 1 put
/fpc 2 def
}{
/fpc 0 def
} ifelse
} if
flatPathArray exch fpc exch put
1 IncFPC
} {
dup length 7 eq {
newpath
/nToStrip 0 def
fpc 1 gt {
flatPathArray fpc 2 sub get aload pop pop m
flatPathArray fpc 1 sub get aload pop exec
/nToStrip 2 def
} {
fpc 1 eq {
flatPathArray fpc 1 sub get aload pop exec
/nToStrip 2 def
} if
} ifelse
aload pop exec
/segmentArray flattenpath MakeFlatPathArray def
/segmentArray nToStrip segmentArray StripFromFront def
segmentArray length fpc add 512 lt {
flatPathArray fpc segmentArray putinterval
segmentArray length IncFPC
} {
DrawFlatPathArray
fpc 1 gt {
flatPathArray flatPathArray fpc 2 sub get 0 exch put
flatPathArray flatPathArray fpc 1 sub get 1 exch put
/fpc 2 def
}{
/fpc 0 def
} ifelse
segmentArray length 512 lt {
flatPathArray fpc segmentArray putinterval
segmentArray length IncFPC
} {
segmentArray length
/exitLoop false def
0
{
2 copy sub
dup 500 gt {
pop 500
} {
/exitLoop true def
} ifelse
segmentArray 2 index 2 index getinterval
flatPathArray fpc 3 -1 roll putinterval
dup IncFPC
add
exitLoop {
exit
} {
DrawFlatPathArray
fpc 1 gt {
flatPathArray flatPathArray fpc 2 sub get 0 exch put
flatPathArray flatPathArray fpc 1 sub get 1 exch put
/fpc 2 def
}{
/fpc 0 def
} ifelse
} ifelse
} loop
} ifelse
} ifelse
} if
} ifelse
} for
fpc 0 gt {
usingClosepath {
AppendClosePath
} if
DrawFlatPathArray
} if
saveFlat setflat
} bind def
/rampdelta {
/len 0 3 -1 roll add def
/i2 0 3 -1 roll add def
/i1 0 3 -1 roll add def
/nRampSteps len cellPenW div cvi 1 add dup 512 gt {pop 512} if def
/rampPenW len nRampSteps div def
rampColors i1 get aload pop c1 astore pop
rampColors i2 get aload pop c2 astore pop
c2 0 get c1 0 get sub nRampSteps div d 0 3 -1 roll put
c2 1 get c1 1 get sub nRampSteps div d 1 3 -1 roll put
c2 2 get c1 2 get sub nRampSteps div d 2 3 -1 roll put
d aload pop
} bind def
/adddelta {
d astore pop
mycurrentrgbcolor c1 copy pop
c1 0 get d 0 get add c2 0 3 -1 roll put
c1 1 get d 1 get add c2 1 3 -1 roll put
c1 2 get d 2 get add c2 2 3 -1 roll put
c2 aload pop setrgbcolor
c2 mycurrentrgbcolor copy pop
} bind def
/rampline {
segbox ulx get rampPenW add segbox ulx 3 -1 roll put
segbox llx get rampPenW add segbox llx 3 -1 roll put
segbox ulx get segbox uly get moveto
segbox llx get segbox lly get lineto
delta aload pop adddelta stroke
}bind def
/slantrampseg {
gsave newpath
segbox ulx get segbox urx get sub abs
rampdelta delta astore pop
segbox ulx get rampPenW .5 mul sub segbox ulx 3 -1 roll put
segbox llx get rampPenW .5 mul sub segbox llx 3 -1 roll put
rampColors exch get aload mycurrentrgbcolor copy pop setrgbcolor
rampPenW setlinewidth nRampSteps {rampline} repeat
grestore
}bind def
/flipramp {
rampColors 0 get rampColors 3 get rampColors 0 3 -1 roll put rampColors 3 3 -1 roll put
rampColors 1 get rampColors 2 get rampColors 1 3 -1 roll put rampColors 2 3 -1 roll put
} bind def
/leftrbox {
rbox segbox copy pop
rbox urx get rbox ulx get sub
flipRatio mul dup
segbox ulx get add segbox urx 3 -1 roll put
segbox llx get add segbox lrx 3 -1 roll put
} bind def
/rightrbox {
rbox segbox copy pop
rbox urx get rbox ulx get sub
flipRatio mul dup
segbox ulx get add segbox ulx 3 -1 roll put
segbox llx get add segbox llx 3 -1 roll put
} bind def
/drawslantramp {
segbox urx get segbox ulx get sub 3 div dup dup dup dup dup dup dup dup dup
segbox ulx get add segbox urx 3 -1 roll put
segbox llx get add segbox lrx 3 -1 roll put
segbox aload pop
0 0 1 slantrampseg
segbox astore pop
segbox ulx get add segbox ulx 3 -1 roll put
segbox llx get add segbox llx 3 -1 roll put
segbox urx get add segbox urx 3 -1 roll put
segbox lrx get add segbox lrx 3 -1 roll put
segbox aload pop
1 1 2 slantrampseg
segbox astore pop
segbox ulx get add segbox ulx 3 -1 roll put
segbox llx get add segbox llx 3 -1 roll put
segbox urx get add segbox urx 3 -1 roll put
segbox lrx get add segbox lrx 3 -1 roll put
2 2 3 slantrampseg
}bind def
/tan {
dup sin exch cos div
}bind def
/rampbox {
pbox top get dup rbox uly 3 -1 roll put rbox ury 3 -1 roll put
pbox left get dup rbox ulx 3 -1 roll put rbox llx 3 -1 roll put
pbox bottom get dup rbox lly 3 -1 roll put rbox lry 3 -1 roll put
pbox right get dup rbox urx 3 -1 roll put rbox lrx 3 -1 roll put
}bind def
/LoadSegBox {
4 copy
segbox llx 6 -1 roll put
segbox lly 5 -1 roll put
segbox lrx 4 -1 roll put
segbox lry 6 -1 roll put
segbox urx 5 -1 roll put
segbox ury 3 -1 roll put
segbox ulx 4 -1 roll put
segbox uly 3 -1 roll put
} bind def
/TransToCenter {
gsave
flattenpath
pathbbox
grestore
2 index
sub 2.0 div exch
3 index sub 2.0 div
4 -1 roll add
3 1 roll add
translate
} bind def
/RotRampGrad {
gsave
TransToCenter
-1.0 mul 180.0 add rotate
flattenpath
pathbbox
clip
newpath
LoadSegBox
flipRatio 1 lt dup{flipramp}if flipRatio 0 gt and
{
/flipRatio 1.0 flipRatio sub def
segbox rbox copy pop leftrbox drawslantramp flipramp rightrbox drawslantramp
}
{drawslantramp} ifelse
grestore
} bind def
/bbg {
pbox exch get
} bind def
/DR { % Directional ramp
/workingMatrix mstore def
objectCord setmatrix
flipramp
gsave
flattenpath pathbbox
grestore
pbox bottom 3 -1 roll put pbox right 3 -1 roll put pbox top 3 -1 roll put pbox left 3 -1 roll put
rampAngle RotRampGrad
RF
workingMatrix setmatrix
}bind def
/ramparc {
gsave
circum rampdelta delta astore pop
/rampPenW 60.0 nRampSteps div def
/ang1 exch rampAngle sub def
/ang2 rampPenW ang1 add def
rampColors exch get aload mycurrentrgbcolor copy pop setrgbcolor 1 setlinewidth
nRampSteps {ramparcseg}repeat
grestore
}bind def
/ramparcseg {
newpath
rampcenter aload pop moveto
rampcenter aload pop rampradius ang2 ang1 arcn fill
/ang1 ang2 def
/ang2 ang2 rampPenW add def
delta aload pop adddelta
}bind def
/GetRadius {
rbox urx get rbox llx get sub 2 div rampcenter 0 get abs add dup mul
rbox lly get rbox ury get sub 2 div rampcenter 1 get abs add dup mul
add sqrt
} bind def
/circularRamp {
rampbox
/rampradius GetRadius def
CalcCrcm
flipramp
0 0 0 1 ramparc
1 60 1 2 ramparc
2 120 2 3 ramparc
flipramp
0 180 0 1 ramparc
1 240 1 2 ramparc
2 300 2 3 ramparc
}bind def
/GetCircumf {
2.0 mul 3.1415926 mul
} bind def
/CalcCrcm {
rampradius GetCircumf
/circum exch 6.0 div def
} bind def
/CR {
gsave
clip
MTC currentmatrix pop
CTM setmatrix
flattenpath
pathbbox pbox bottom 3 -1 roll put pbox right 3 -1 roll put pbox top 3 -1 roll put pbox left 3 -1 roll put
pbox left get pbox right get sub abs 2 div
pbox left get add rampcenter 0 get add rampcenter 0 3 -1 roll put
pbox top get pbox bottom get sub abs 2 div
pbox top get add rampcenter 1 get add rampcenter 1 3 -1 roll put
circularRamp
MTC setmatrix
grestore
RF
}bind def
/SBR {
gsave
clip
/workingMatrix mstore def
objectCord setmatrix
flattenpath
/BaseBox pathbbox 4 array astore def
/len BaseBox 2 get BaseBox 0 get sub dup mul
BaseBox 3 get BaseBox 1 get sub dup mul
add sqrt
12.0 div
def
/EndBox
BaseBox aload pop
3 -1 roll sub
3 1 roll
exch sub
/dbx exch def
/dby exch def
BaseBox aload pop pop pop
/blly exch def
/bllx exch def
sbox 0 get 100.0 div dby mul blly add
sbox 1 get 100.0 div dbx mul bllx add
sbox 2 get 100.0 div dby mul blly add
sbox 3 get 100.0 div dbx mul bllx add
exch
4 -2 roll
exch
4 -2 roll
4 array astore
def
BaseBox EndBox ShapeBurst
workingMatrix setmatrix
grestore
} bind def
/GetBoxCenter {
2 index
sub 2.0 div
3 -1 roll add
3 1 roll
1 index sub
2.0 div add
exch
} bind def
/GetInterBox {
/boxInter exch def
4 1 7 {
-1 roll
7 index
} for
sub boxInter mul
8 -1 roll add
7 1 roll
sub boxInter mul
7 -1 roll add
6 1 roll
sub boxInter mul
6 -1 roll add
5 1 roll
sub boxInter mul
5 -1 roll add
4 1 roll
} bind def
/GetBoxCenterDeltas {
GetBoxCenter
6 2 roll
GetBoxCenter
3 -1 roll exch sub
3 1 roll sub
exch
} bind def
/GetBoxCornerDeltas {
pop pop
4 2 roll pop pop
3 -1 roll sub
3 1 roll exch sub
exch
} bind def
/getpath {
/k 0 def
{/k k 1 add def pop pop}{/k k 1 add def pop pop}{/k k 1 add def pop pop pop pop pop pop}{}pathforall
/pfa k array def
/k 0 def
{{moveto} 3 array astore pfa k 3 -1 roll put /k k 1 add def}
{{lineto} 3 array astore pfa k 3 -1 roll put /k k 1 add def}
{{curveto} 7 array astore pfa k 3 -1 roll put /k k 1 add def}
{}pathforall
}bind def
/ShapeBurst {
getpath
newpath
/SBERect exch 4 array copy def
/SBBRect exch 4 array copy def
/interRect1 SBBRect aload pop SBERect aload pop .3333333 GetInterBox 4 array astore def
/interRect2 SBBRect aload pop SBERect aload pop .6666666 GetInterBox 4 array astore def
0 0 1 SBBRect interRect1 ShapeBurstSeg
msave
interRect1 0 get interRect1 1 get translate
SBBRect aload pop interRect1 aload pop GetBoxesRatio scale
SBBRect 0 get -1.0 mul SBBRect 1 get -1.0 mul translate
1 1 2 interRect1 interRect2 ShapeBurstSeg
mrestore
msave
interRect2 0 get interRect2 1 get translate
SBBRect aload pop interRect2 aload pop GetBoxesRatio scale
SBBRect 0 get -1.0 mul SBBRect 1 get -1.0 mul translate
2 2 3 interRect2 SBERect ShapeBurstSeg
mrestore
} bind def
/ShapeBurstSeg {
/sbr1 exch 4 array copy def
/sbr0 exch 4 array copy def
/blx sbr0 0 get def
/bly sbr0 1 get def
len rampdelta delta astore pop
sbr0 aload pop sbr1 aload pop GetBoxesRatio
/ratioY exch def
/ratioX exch def
sbr0 aload pop sbr1 aload pop GetBoxCornerDeltas
/dlly exch nRampSteps div def
/dllx exch nRampSteps div def
/scaleStepX 1.0 ratioX sub nRampSteps div def
/scaleStepY 1.0 ratioY sub nRampSteps div def
/currentScaleX 1.0 scaleStepX sub def
/currentScaleY 1.0 scaleStepY sub def
/translationX blx dllx add def
/translationY bly dlly add def
/currentScaleX 1.0 def
/currentScaleY 1.0 def
/translationX blx def
/translationY bly def
rampColors exch get aload mycurrentrgbcolor copy pop setrgbcolor
nRampSteps {
msave
translationX translationY translate
currentScaleX currentScaleY scale
blx -1.0 mul bly -1.0 mul translate
pfa {aload pop exec} forall fill
delta aload pop adddelta
/translationX translationX dllx add def
/translationY translationY dlly add def
/currentScaleX currentScaleX scaleStepX sub def
/currentScaleY currentScaleY scaleStepY sub def
mrestore
} repeat
msave
translationX translationY translate
currentScaleX currentScaleY scale
blx -1.0 mul bly -1.0 mul translate
pfa {aload pop exec} forall fill
mrestore
} bind def
initmsaverestore
/tctm matrix currentmatrix def
tctm RoundMatrix setmatrix
/patternMatrix mstore def
10 setmiterlimit
2 setlinecap
newpath
%
%tLayer
%
%
%tfBegGrp
%
%@BeginRuler
%@ 9.0000000000000000000e+0 viewScale
%@ 1.1111111111111110490e-1 realScale
%@ 8 realDivs
%@ 0000 rulerFormat
%@EndRuler
%@BeginRect
/RT {13.500 RR2} def
/SD {} def
/SS {setlinewidth SD stroke} def
/LC { /setcmykcolor where
{begin 0.000 0.000 0.000 1.000 setcmykcolor end} {0.000 0.000 0.000 setrgbcolor} ifelse
} def
/PC { /setcmykcolor where
{begin 0.000 0.000 0.000 0.000 setcmykcolor end} {1.000 1.000 1.000 setrgbcolor} ifelse
} def
/PF {gsave fill grestore} def
1.000 0 11.000 20.502 0.000 0.000 161.685 513.994 rect
%@EndRect
%@BeginRuler
%@ 9.0000000000000000000e+0 viewScale
%@ 1.1111111111111110490e-1 realScale
%@ 8 realDivs
%@ 0000 rulerFormat
%@EndRuler
%@BeginOval
/RT {E} def
/SD {} def
/SS {setlinewidth SD stroke} def
/LC { /setcmykcolor where
{begin 0.000 0.000 0.000 1.000 setcmykcolor end} {0.000 0.000 0.000 setrgbcolor} ifelse
} def
/PC { /setcmykcolor where
{begin 0.000 0.000 0.000 0.000 setcmykcolor end} {1.000 1.000 1.000 setrgbcolor} ifelse
} def
/PF {gsave fill grestore} def
1.000 0 20.980 39.739 0.000 0.000 143.720 153.296 rect
%@EndOval
%@BeginRuler
%@ 9.0000000000000000000e+0 viewScale
%@ 1.1111111111111110490e-1 realScale
%@ 8 realDivs
%@ 0000 rulerFormat
%@EndRuler
%@BeginOval
/RT {E} def
/SD {} def
/SS {setlinewidth SD stroke} def
/LC { /setcmykcolor where
{begin 0.000 0.000 0.000 1.000 setcmykcolor end} {0.000 0.000 0.000 setrgbcolor} ifelse
} def
/PC { /setcmykcolor where
{begin 0.000 0.000 0.000 0.000 setcmykcolor end} {1.000 1.000 1.000 setrgbcolor} ifelse
} def
/PF {gsave fill grestore} def
1.000 0 19.982 347.335 0.000 0.000 143.720 153.296 rect
%@EndOval
%@BeginRuler
%@ 9.0000000000000000000e+0 viewScale
%@ 1.1111111111111110490e-1 realScale
%@ 8 realDivs
%@ 0000 rulerFormat
%@EndRuler
%@BeginOval
/RT {E} def
/SD {} def
/SS {setlinewidth SD stroke} def
/LC { /setcmykcolor where
{begin 0.000 0.000 0.000 1.000 setcmykcolor end} {0.000 0.000 0.000 setrgbcolor} ifelse
} def
/PF {DR} def
/flipRatio 1.000 def
/rampAngle 180 def
/rampColors [[0.000 0.000 0.000] [0.333 0.333 0.333] [0.666 0.666 0.666] [1.000 1.000 1.000]] def
/PC {} def
/RF {} def
1.000 0 52.918 131.417 0.000 0.000 8.982 9.017 rect
%@EndOval
%@BeginRuler
%@ 9.0000000000000000000e+0 viewScale
%@ 1.1111111111111110490e-1 realScale
%@ 8 realDivs
%@ 0000 rulerFormat
%@EndRuler
%@BeginOval
/RT {E} def
/SD {} def
/SS {setlinewidth SD stroke} def
/LC { /setcmykcolor where
{begin 0.000 0.000 0.000 1.000 setcmykcolor end} {0.000 0.000 0.000 setrgbcolor} ifelse
} def
/PF {DR} def
/flipRatio 1.000 def
/rampAngle 180 def
/rampColors [[0.000 0.000 0.000] [0.333 0.333 0.333] [0.666 0.666 0.666] [1.000 1.000 1.000]] def
/PC {} def
/RF {} def
1.000 0 96.333 139.933 0.000 0.000 8.982 9.017 rect
%@EndOval
%@BeginRuler
%@ 9.0000000000000000000e+0 viewScale
%@ 1.1111111111111110490e-1 realScale
%@ 8 realDivs
%@ 0000 rulerFormat
%@EndRuler
%@BeginOval
/RT {E} def
/SD {} def
/SS {setlinewidth SD stroke} def
/LC { /setcmykcolor where
{begin 0.000 0.000 0.000 1.000 setcmykcolor end} {0.000 0.000 0.000 setrgbcolor} ifelse
} def
/PF {DR} def
/flipRatio 1.000 def
/rampAngle 180 def
/rampColors [[0.000 0.000 0.000] [0.333 0.333 0.333] [0.666 0.666 0.666] [1.000 1.000 1.000]] def
/PC {} def
/RF {} def
1.000 0 123.281 112.881 0.000 0.000 8.982 9.017 rect
%@EndOval
%@BeginRuler
%@ 9.0000000000000000000e+0 viewScale
%@ 1.1111111111111110490e-1 realScale
%@ 8 realDivs
%@ 0000 rulerFormat
%@EndRuler
%@BeginOval
/RT {E} def
/SD {} def
/SS {setlinewidth SD stroke} def
/LC { /setcmykcolor where
{begin 0.000 0.000 0.000 1.000 setcmykcolor end} {0.000 0.000 0.000 setrgbcolor} ifelse
} def
/PF {DR} def
/flipRatio 1.000 def
/rampAngle 180 def
/rampColors [[0.000 0.000 0.000] [0.333 0.333 0.333] [0.666 0.666 0.666] [1.000 1.000 1.000]] def
/PC {} def
/RF {} def
1.000 0 96.333 85.829 0.000 0.000 8.982 9.017 rect
%@EndOval
%@BeginRuler
%@ 9.0000000000000000000e+0 viewScale
%@ 1.1111111111111110490e-1 realScale
%@ 8 realDivs
%@ 0000 rulerFormat
%@EndRuler
%@BeginOval
/RT {E} def
/SD {} def
/SS {setlinewidth SD stroke} def
/LC { /setcmykcolor where
{begin 0.000 0.000 0.000 1.000 setcmykcolor end} {0.000 0.000 0.000 setrgbcolor} ifelse
} def
/PF {DR} def
/flipRatio 1.000 def
/rampAngle 180 def
/rampColors [[0.000 0.000 0.000] [0.333 0.333 0.333] [0.666 0.666 0.666] [1.000 1.000 1.000]] def
/PC {} def
/RF {} def
1.000 0 51.421 94.846 0.000 0.000 8.982 9.017 rect
%@EndOval
%@BeginRuler
%@ 9.0000000000000000000e+0 viewScale
%@ 1.1111111111111110490e-1 realScale
%@ 8 realDivs
%@ 0000 rulerFormat
%@EndRuler
%@BeginOval
/RT {E} def
/SD {} def
/SS {setlinewidth SD stroke} def
/LC { /setcmykcolor where
{begin 0.000 0.000 0.000 1.000 setcmykcolor end} {0.000 0.000 0.000 setrgbcolor} ifelse
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b(&rank)47 b(\);)532 1829 y(MPI_Comm_split)d(\()j
(multiple_client_comm,)42 b(rank,)47 b(0,)1343 1942 y
(&single_client_comm)c(\);)332 2129 y Ft(M)p Fx(PI)p
512 2129 28 4 v 32 w(INTER)m(COMM)p 1140 2129 V 32 w(P)-8
b(AR)g(TITION)33 b(is)f(a)h(new)g(function)e(with)h(no)g(analog)i(in)d
Ft(MPI-1)p Fx(.)49 b(It)33 b(par-)150 2242 y(titions)40
b(an)g(in)m(tracomm)m(unicator)h(\(single)e(group\))i(in)m(to)f(a)h
(single)e(in)m(tercomm)m(unicator)i(\(\\left")h(and)150
2355 y(\\righ)m(t")31 b(groups\).)150 2657 y Ft(MPI)p
318 2657 V 33 w(INTERCOMM)p 900 2657 V 32 w(P)-8 b(ARTITION\()31
b(intracomm,)g(\015ag,)g(k)m(ey)-8 b(,)32 b(intercomm)f(\))233
2811 y Fj(IN)312 b Ft(intracomm)767 b Fj(original)26
b(in)n(tracomm)n(unicator)233 2962 y(IN)312 b Ft(\015ag)1035
b Fj(left/righ)n(t)27 b(\015ag)g(\(b)r(o)r(olean\))233
3112 y(IN)312 b Ft(k)m(ey)1050 b Fj(sorting)27 b(order)233
3262 y(OUT)217 b Ft(intercomm)771 b Fj(new)28 b(in)n(tercomm)n
(unicator)150 3511 y Fx(The)39 b(\015ag)i(argumen)m(t)f(determines)f
(whether)g(a)h(pro)s(cess)g(will)d(b)s(e)i(on)h(the)g(left)g(or)f(righ)
m(t)h(side)f(of)h(the)150 3624 y(resulting)g(in)m(tercomm)m(unicator.)
77 b(The)41 b Ft(k)p Fx(ey)i(argumen)m(t)g(pro)m(vides)e(ordering)g
(information)g(for)h(eac)m(h)150 3737 y(side)28 b(of)h(the)g(in)m
(tercomm)m(unicator.)40 b(There)28 b(m)m(ust)h(b)s(e)f(at)h(least)g
(one)g(pro)s(cess)g(with)e Ft(f)p Fx(lag)i(=)f(TR)m(UE)58
b(and)150 3850 y(at)28 b(least)g(one)g(pro)s(cess)f(with)f
Ft(f)p Fx(lag)i(=)f(F)-10 b(ALSE,)27 b(otherwise,)h(the)g(resulting)d
(in)m(tercomm)m(unicator)j(will)d(b)s(e)150 3963 y Fg(M)p
Fx(PI)p 323 3963 V 32 w(COMM)p 658 3963 V 33 w(NULL.)h(Pro)s(cesses)h
(sp)s(ecifying)d Ft(f)p Fx(lag)i(=)g(MPI)p 2256 3963
V 33 w(UNDEFINED)i(will)23 b(not)k(b)s(e)f(included)d(in)150
4076 y(the)35 b(created)g(in)m(tercomm)m(unicator.)53
b(F)-8 b(or)35 b(these)g(pro)s(cesses,)h(the)f(resulting)d(in)m
(tercomm)m(unicator)j(will)150 4189 y(b)s(e)30 b Fg(M)p
Fx(PI)p 447 4189 V 32 w(COMM)p 782 4189 V 33 w(NULL.)150
4429 y Ft(Example)91 b Fx(The)33 b(example)h(giv)m(en)f(b)s(elo)m(w)g
(sho)m(ws)h(ho)m(w)g(the)f(original)f Fg(M)p Fx(PI)p
2735 4429 V 32 w(COMM)p 3070 4429 V 33 w(W)m(ORLD)j(can)f(b)s(e)150
4542 y(divided)28 b(in)m(to)i(a)h(clien)m(t/serv)m(er)g(in)m(tercomm)m
(unicator.)532 4729 y Fi(MPI_Comm)93 b(client_server_comm;)532
4842 y(int)333 b(rank,)46 b(flag;)532 5068 y(/*)h(Get)g(my)g(rank)g(in)
g(the)g(world)f(*/)532 5181 y(MPI_Comm_rank)e(\()j(MPI_COMM_WORLD,)d
(&rank)i(\);)532 5407 y(/*)h(Set)g(the)g(flag)f(that)h(determines)e(my)
i(function)f(in)h(life)g(*/)3934 92 y Fq(1)3934 205 y(2)3934
318 y(3)3934 431 y(4)3934 544 y(5)3934 657 y(6)3934 770
y(7)3934 882 y(8)3934 995 y(9)3919 1108 y(10)3919 1221
y(11)3919 1334 y(12)3919 1447 y(13)3919 1560 y(14)3919
1673 y(15)3919 1786 y(16)3919 1899 y(17)3919 2012 y(18)3919
2124 y(19)3919 2237 y(20)3919 2350 y(21)3919 2463 y(22)3919
2576 y(23)3919 2689 y(24)3919 2802 y(25)3919 2915 y(26)3919
3028 y(27)3919 3141 y(28)3919 3254 y(29)3919 3366 y(30)3919
3479 y(31)3919 3592 y(32)3919 3705 y(33)3919 3818 y(34)3919
3931 y(35)3919 4044 y(36)3919 4157 y(37)3919 4270 y(38)3919
4383 y(39)3919 4496 y(40)3919 4609 y(41)3919 4721 y(42)3919
4834 y(43)3919 4947 y(44)3919 5060 y(45)3919 5173 y(46)3919
5286 y(47)3919 5399 y(48)p eop
11 12 bop 150 -200 a Fo(5.5.)72 b(EXTENDED)31 b(COLLECTIVE)d(OPERA)-8
b(TIONS)1493 b Fx(11)532 99 y Fi(if)47 b(\(/*)g(I'm)g(to)g(be)g(a)h
(server)e(*/\))627 211 y(flag)h(=)g(TRUE;)532 324 y(else)f(/*)i(I'm)f
(to)g(be)g(a)g(client)f(*/)627 437 y(flag)h(=)g(FALSE;)532
663 y(/*)g(Partition)e(the)i(world)g(*/)532 776 y
(MPI_Intercomm_partition)41 b(\()48 b(MPI_COMM_WORLD,)43
b(flag,)k(rank,)1773 889 y(&client_server_comm)42 b(\);)150
1175 y Fu(5.5)116 b(Extended)38 b(Collective)f(Op)s(erations)3750
1288 y Fs(>)30 b Fq(\(July\))150 1473 y Fk(Discussion:)43
b Fj(W)-7 b(e)32 b(ha)n(v)n(e)f(three)g(c)n(hoices)g(here:)44
b(accept)31 b(this)h(form)g(of)f(in-place)g(op)r(erations,)h(accept)f
(the)h(Snir)150 1586 y(form)27 b(later)g(in)h(this)g(c)n(hapter,)f(or)f
(reject)i(b)r(oth.)14 b(.)g(.)3750 1696 y Fs(?)30 b Fq(\(July\))150
1923 y Fp(5.5.1)97 b(In-Place)32 b(Op)s(erations)150
2095 y Fx(Curren)m(tly)536 2062 y Fn(6)594 2095 y Fx(all)19
b(of)i(the)f(collectiv)m(e)h(comm)m(unication)f(routines,)h(except)g
(for)f Ft(MPI)p 2896 2095 28 4 v 33 w(Ba)m(rrier)g Fx(and)g
Ft(MPI)p 3536 2095 V 32 w(Bcast)p Fx(,)150 2208 y(tak)m(e)34
b(an)e(input)f(bu\013er,)h Ft(sendbuf)p Fx(,)h(and)f(an)h(output)f
(bu\013er,)g Ft(recvbuf)h Fx(as)g(argumen)m(ts.)47 b(This)31
b(p)s(ermits)g(a)150 2321 y(large)26 b(degree)g(of)g(\015exibilit)m(y)c
(as)k(only)f(the)h(t)m(yp)s(e)g(signatures)e(\(and)i(not)g(the)f(t)m
(yp)s(e)h(map\))g(ha)m(v)m(e)g(to)h(matc)m(h.)150 2434
y(Ho)m(w)m(ev)m(er,)32 b(it)d(is)f(often)i(the)g(case)h(that)f(the)f
(user)g(w)m(an)m(ts)h(to)g(use)g(a)f(single)g(bu\013er)f(and)h(ha)m(v)m
(e)i(the)e(results)150 2547 y(of)f(the)g(collectiv)m(e)g(comm)m
(unication)f(op)s(eration)g(o)m(v)m(erwrite)h(all)f(or)g(part)h(of)f
(this)g(bu\013er)g(\(dep)s(ending)e(on)150 2660 y(the)36
b(routine)g(used\).)58 b(With)35 b(the)i(curren)m(t)f(de\014nitions,)f
(the)i(user)e(m)m(ust)i(use)f(extra)h(memory)f(for)g(the)150
2772 y(separate)31 b(bu\013ers)f(and)f(do)i(an)f(additional)e(cop)m(y)j
(to)g(get)h(the)e(results)g(in)m(to)g(the)h(desired)d(bu\013er.)332
2885 y(T)-8 b(o)22 b(a)m(v)m(oid)g(this)e(means)h(of)h(e\013ecting)g
(\\in-place")f(collectiv)m(e)h(comm)m(unication)f(op)s(erations)f(is)h
(giv)m(en,)150 2998 y(as)31 b(outlined)d(in)h(the)i(previous)e
(paragraph.)40 b(Three)30 b(p)s(ossible)e(approac)m(hes)j(app)s(ear)e
(v)-5 b(alid:)261 3185 y(1.)46 b(Alias)30 b(the)g(input)f(and)g(output)
h(bu\013ers)g(or)g(parts)g(thereof.)41 b(Disadv)-5 b(an)m(tages:)416
3373 y(\(a\))46 b(Requires)31 b(displacemen)m(t)f(for)h(routines)g(suc)
m(h)g(as)h Ft(MPI)p 2474 3373 V 32 w(Reduce)p 2779 3373
V 34 w(scatter)f Fx(that)h(do)g(not)f(tak)m(e)577 3486
y(them)g(as)f(argumen)m(ts.)411 3632 y(\(b\))45 b(Violates)31
b(the)f(F)-8 b(ortran)31 b(standard)f(that)h(prohibits)d(up)s(dating)g
(of)i(aliased)g(arra)m(ys.)421 3778 y(\(c\))46 b(Prev)m(en)m(ts)32
b(use)e(of)g Ft(MPI)p 1379 3778 V 33 w(BOTTOM)f Fx(with)g(struct)h(t)m
(yp)s(es.)261 3965 y(2.)46 b(Set)24 b(the)f(address)g(of)h
Ft(sendbuf)f Fx(or)g Ft(recvbuf)p Fx(,)j(dep)s(ending)21
b(on)i(the)h(function,)f(to)h(a)g(de\014ned)e(constan)m(t.)261
4152 y(3.)46 b(Add)33 b(a)g(new)g(set)h(of)g(functions.)48
b(Disadv)-5 b(an)m(tage:)48 b(increases)33 b(the)g(n)m(um)m(b)s(er)f
(of)i(functions)e(in)g(the)377 4265 y Ft(MPI)e Fx(standard.)332
4452 y(The)76 b(second)g(approac)m(h)h(is)e(adv)m(o)s(cated.)180
b(De\014ne)77 b(constan)m(ts,)89 b Ft(MPI)p 3065 4452
V 33 w(NO)p 3229 4452 V 33 w(C)p 3320 4452 V 32 w(ARG)76
b Fx(and)150 4565 y Ft(MPI)p 318 4565 V 33 w(NO)p 482
4565 V 33 w(FN)p 631 4565 V 33 w(ARG)p Fx(,)41 b(and)g(test)i(the)f
(address)g(of)g(the)g(bu\013er)f(to)i(indicate)e(the)i(use)e(of)i(the)f
(in-place)150 4678 y(op)s(eration.)f(A)31 b(separate)h(\015ag)f(for)f
(C)g(and)h(F)-8 b(ortran)31 b(are)g(suggested)g(for)g(safet)m(y's)h
(sak)m(e)g(giv)m(en)e(that)i(the)150 4791 y(in)m(ter-language)24
b(in)m(terface)f(is)g(not)g(standardized)f(and)h(the)g(means)g(in)f
(whic)m(h)g(to)i(share)f(global)f(v)-5 b(ariables)150
4904 y(v)g(aries)30 b(considerably)e(b)s(et)m(w)m(een)j(compilers.)332
5017 y(Note)k(that)g(the)f(user)f(giv)m(es)i(up)e(abilit)m(y)f(to)j(c)m
(hange)g(the)f(exten)m(t)h(of)g(the)f(initial)d(data)k(from)e(that)150
5130 y(of)d(the)g(\014nal)e(when)h(the)h(in-place)f(option)g(is)g
(used.)40 b(Basically)-8 b(,)30 b(the)f(gather)i(routines)e(pass)g(the)
h(NULL)150 5243 y(address)d(for)h Ft(sendbuf)g Fx(and)g(the)g(scatter)i
(and)e(reduce)g(routines)f(pass)g(the)i(NULL)f(address)f(for)h
Ft(recvbuf)p Fx(.)p 150 5322 1440 4 v 254 5375 a Fq(6)288
5407 y Fm(Prop)r(osed)f(b)n(y)d(S.)i(Fleisc)n(hman,)g(Hewlett-P)n(ac)n
(k)l(ard,)g(Con)n(v)n(ex)f(Divison.)-64 92 y Fq(1)-64
205 y(2)-64 318 y(3)-64 431 y(4)-64 544 y(5)-64 657 y(6)-64
770 y(7)-64 882 y(8)-64 995 y(9)-80 1108 y(10)-80 1221
y(11)-80 1334 y(12)-80 1447 y(13)-80 1560 y(14)-80 1673
y(15)-80 1786 y(16)-80 1899 y(17)-80 2012 y(18)-80 2124
y(19)-80 2237 y(20)-80 2350 y(21)-80 2463 y(22)-80 2576
y(23)-80 2689 y(24)-80 2802 y(25)-80 2915 y(26)-80 3028
y(27)-80 3141 y(28)-80 3254 y(29)-80 3366 y(30)-80 3479
y(31)-80 3592 y(32)-80 3705 y(33)-80 3818 y(34)-80 3931
y(35)-80 4044 y(36)-80 4157 y(37)-80 4270 y(38)-80 4383
y(39)-80 4496 y(40)-80 4609 y(41)-80 4721 y(42)-80 4834
y(43)-80 4947 y(44)-80 5060 y(45)-80 5173 y(46)-80 5286
y(47)-80 5399 y(48)p eop
12 13 bop 150 -200 a Fx(12)23 b Fo(CHAPTER)29 b(5.)72
b(EXTENDED)30 b(COLLECTIVE)f(OPERA)-8 b(TIONS)29 b(AND)i(RELA)-8
b(TED)31 b(ISSUES)150 99 y Fx(When)41 b(this)f(is)g(done)g(the)i(t)m
(yp)s(e)f(and)f(displacemen)m(t)g(information)f(is)h(tak)m(en)j(from)d
(the)h(non-NULL)150 211 y(bu\013er.)f(See)30 b(b)s(elo)m(w.)332
324 y(The)g(follo)m(wing)f(list)g(describ)s(es)f(the)j(mo)s
(di\014cation)d(for)j(eac)m(h)g(of)g(the)f(a\013ected)i(routines:)150
512 y Ft(MPI)p 318 512 28 4 v 33 w(GA)-8 b(THER)45 b
Fx(Ro)s(ot,)31 b(and)e(only)g(ro)s(ot,)i(passes)e(a)i
Ft(NULL)f Fx(address)f(for)h Ft(sendbuf)p Fx(.)40 b Ft(sendt)m(yp)s(e)
30 b Fx(and)g Ft(send-)377 625 y(count)g Fx(are)f(ignored;)g
Ft(recvt)m(yp)s(e)g(recvcount)h Fx(are)g(used)e(for)g(b)s(oth)g(input)f
(and)h(output)h(on)f(ro)s(ot)h(The)377 738 y(sp)s(eci\014ed)j(space)h
(m)m(ust)g(exist)g(at)h Ft(recvbuf+ro)s(ot)p Fs(\001)p
Ft(recvcount)p Fs(\001)p Ft(extent\(recvt)m(yp)s(e\))k
Fx(for)32 b(the)i(segmen)m(t)377 851 y(corresp)s(onding)29
b(to)i(ro)s(ot.)150 1038 y Ft(MPI)p 318 1038 V 33 w(GA)-8
b(THERV)45 b Fx(Ro)s(ot,)h(and)c(only)g(ro)s(ot,)k(passes)c(a)h
Ft(NULL)g Fx(address)e(for)i Ft(sendbuf)p Fx(.)77 b Ft(sendt)m(yp)s(e)
43 b Fx(and)377 1151 y Ft(sendcount)33 b Fx(are)g(ignored;)f
Ft(recvbuf)p Fx(,)h Ft(recvt)m(yp)s(e[ro)s(ot])h Fx(and)e
Ft(recvcounts[ro)s(ot])i Fx(are)e(used)g(for)g(input.)377
1264 y(The)26 b(sp)s(eci\014ed)g(space)h(m)m(ust)f(exist)h(at)g
Ft(recvbuf+displs[ro)s(ot])p Fs(\001)p Ft(extent\(recvt)m(yp)s(e\))i
Fx(for)e(the)g(segmen)m(t)377 1377 y(corresp)s(onding)i(to)i(ro)s(ot.)
150 1565 y Ft(MPI)p 318 1565 V 33 w(SCA)-8 b(TTER)44
b Fx(Ro)s(ot,)32 b(and)d(only)h(ro)s(ot,)g(passes)h(a)f
Ft(NULL)h Fx(address)e(for)h Ft(recvbuf)p Fx(.)41 b Ft([)p
Fx(sendbuf)7 b(])29 b(remains)377 1678 y(unc)m(hanged)h(on)h(ro)s(ot.)
150 1865 y Ft(MPI)p 318 1865 V 33 w(SCA)-8 b(TTERV)44
b Fx(Ro)s(ot,)26 b(and)e(only)f(ro)s(ot,)j(passes)e(a)h
Ft(NULL)f Fx(address)f(for)h Ft(recvbuf)p Fx(.)39 b Ft([)p
Fx(sendbuf)7 b(])23 b(remains)377 1978 y(unc)m(hanged)30
b(on)h(ro)s(ot.)150 2166 y Ft(MPI)p 318 2166 V 33 w(ALLGA)-8
b(THER)45 b Fx(A)35 b(NULL)h(address)e(is)h(passed)f(for)h
Ft(sendbuf)p Fx(.)56 b Ft(sendt)m(yp)s(e)35 b Fx(and)g
Ft(sendcount)h Fx(are)g(ig-)377 2279 y(nored)29 b(and)g
Ft(recvbuf[])p Fx(,)i Ft(recvt)m(yp)s(e[rank])g Fx(and)e
Ft(recvcounts[rank])j Fx(are)e(used)f(for)g(input.)39
b(The)29 b(input)377 2392 y(for)h(eac)m(h)i(task)f(is)e(at)i
Ft(recvbuf+rank)p Fs(\001)p Ft(recvcount)p Fs(\001)p
Ft(extent\(recvt)m(yp)s(e\))p Fx(.)150 2579 y Ft(MPI)p
318 2579 V 33 w(ALLGA)-8 b(THERV)45 b Fx(A)29 b(NULL)g(address)f(is)h
(passed)f(for)h Ft(sendbuf)p Fx(.)40 b(F)-8 b(or)30 b
Ft(MPI)p 2865 2579 V 33 w(ALLGA)-8 b(THER)29 b(recvt)m(yp)s(e)377
2692 y Fx(and)h Ft(recvcount)h Fx(and)f(for)g Ft(MPI)p
1434 2692 V 33 w(ALLGA)-8 b(THERV)29 b(recvt)m(yp)s(e[rank])j
Fx(and)e Ft(recvcount[rank])i Fx(are)f(used)377 2805
y(for)f(input.)39 b(The)30 b(input)e(for)j(eac)m(h)g(task)g(is)f(at)h
Ft(recvbuf+displ[rank])p Fs(\001)p Ft(extent\(recvt)m(yp)s(e\))p
Fx(.)150 2993 y Ft(MPI)p 318 2993 V 33 w(REDUCE)45 b
Fx(Ro)s(ot,)28 b(and)f(only)f(ro)s(ot,)i(passes)f(a)h(NULL)f(address)f
(for)h Ft(recvbuf)p Fx(.)40 b(On)26 b(ro)s(ot)i(the)f(results)377
3106 y(are)k(placed)f(in)f Ft(sendbuf)p Fx(.)150 3293
y Ft(MPI)p 318 3293 V 33 w(ALLREDUCE)45 b Fx(A)26 b(NULL)g(address)f
(is)g(passed)g(for)h Ft(recvbuf)p Fx(.)39 b(The)26 b(results)f(are)h
(placed)f(in)g Ft(sendbuf)p Fx(.)150 3481 y Ft(MPI)p
318 3481 V 33 w(REDUCE)p 705 3481 V 32 w(SCA)-8 b(TTER)45
b Fx(A)32 b(NULL)g(address)g(is)f(passed)h(for)g Ft(recvbuf)p
Fx(.)46 b(The)32 b(results)f(are)i(placed)e(in)377 3594
y Ft(sendbuf+displ)e Fx(where)h Ft(displ)g Fx(=)1503
3529 y Ff(P)1590 3556 y Fe(i<r)r(ank)1590 3617 y(i)p
Fn(=0)1826 3594 y Ft(recvconts[i])p Fs(\001)p Ft(extent\(recvt)m(yp)s
(e\))p Fx(.)332 3781 y(No)f(c)m(hanges)g(are)f(prop)s(osed)f(for)h
Ft(MPI)p 1647 3781 V 33 w(Bcast)p Fx(,)g Ft(MPI)p 2109
3781 V 32 w(Scan)g Fx(and)f Ft(MPI)p 2688 3781 V 33 w(Alltoall)p
Fx(.)38 b(It)29 b(is)e(asserted)h(that)150 3894 y(the)k(greatest)i(b)s
(ene\014t)e(will)d(come)34 b(from)d(pro)m(viding)f(in-place)i
(capabilit)m(y)f(to)i(the)f(follo)m(wing)f(routines:)150
4007 y Ft(MPI)p 318 4007 V 33 w(ALLGA)-8 b(THERV)p Fx(,)30
b Ft(MPI)p 1142 4007 V 32 w(REDUCE)p Fx(,)g Ft(MPI)p
1746 4007 V 33 w(ALLREDUCE)p Fx(,)g Ft(MPI)p 2510 4007
V 33 w(REDUCE)p 2897 4007 V 32 w(SCA)-8 b(TTER)p Fx(.)332
4201 y Fk(Discussion:)35 b Fj(Op)r(en)27 b(issues)g(for)h(this)f
(section:)267 4351 y(1.)45 b(What)28 b(are)f(the)h(in)n(tercomm)n
(unicator)e(implications)h(of)g(this)h(section?)-235
4417 y Fs(>)i Fq(\(July\))332 4608 y Fk(Discussion:)47
b Fj(There)33 b(are)g(no)h(strong)e(adv)n(o)r(cates)g(on)i(the)g
(collectiv)n(e)f(sub)r(committee)i(at)e(this)h(time)h(for)150
4721 y(in-place)27 b(op)r(erations,)f(giv)n(en)h(discussion)g(at)g
(June)h(meeting.)-235 4831 y Fs(?)i Fq(\(July\))3934
92 y(1)3934 205 y(2)3934 318 y(3)3934 431 y(4)3934 544
y(5)3934 657 y(6)3934 770 y(7)3934 882 y(8)3934 995 y(9)3919
1108 y(10)3919 1221 y(11)3919 1334 y(12)3919 1447 y(13)3919
1560 y(14)3919 1673 y(15)3919 1786 y(16)3919 1899 y(17)3919
2012 y(18)3919 2124 y(19)3919 2237 y(20)3919 2350 y(21)3919
2463 y(22)3919 2576 y(23)3919 2689 y(24)3919 2802 y(25)3919
2915 y(26)3919 3028 y(27)3919 3141 y(28)3919 3254 y(29)3919
3366 y(30)3919 3479 y(31)3919 3592 y(32)3919 3705 y(33)3919
3818 y(34)3919 3931 y(35)3919 4044 y(36)3919 4157 y(37)3919
4270 y(38)3919 4383 y(39)3919 4496 y(40)3919 4609 y(41)3919
4721 y(42)3919 4834 y(43)3919 4947 y(44)3919 5060 y(45)3919
5173 y(46)3919 5286 y(47)3919 5399 y(48)p eop
13 14 bop 150 -200 a Fo(5.5.)72 b(EXTENDED)31 b(COLLECTIVE)d(OPERA)-8
b(TIONS)1493 b Fx(13)150 99 y Fp(5.5.2)97 b(MPI)p 628
99 30 4 v 34 w(Reduce)p 954 99 V 36 w(scatterv)150 270
y Fx(The)307 237 y Fn(7)424 270 y Fx(prop)s(osed)76 b
Ft(MPI)p 1026 270 28 4 v 33 w(Reduce)p 1332 270 V 33
w(scatterv)i Fx(is)e(a)i(minor)f(v)-5 b(arian)m(t)77
b(on)h(the)g(existing)e(function)150 383 y Ft(MPI)p 318
383 V 33 w(Reduce)p 624 383 V 33 w(scatter)55 b Fx(that)f(w)m(ould)g
(complete)g(the)h(symmetry)f(implied)d(b)m(y)j(the)h(function)e(pair:)
150 496 y Ft(MPI)p 318 496 V 33 w(Allgather)33 b Fx(and)g
Ft(MPI)p 1072 496 V 33 w(Allgatherv)p Fx(.)50 b(It)34
b(w)m(ould)f(pro)m(vide)g(the)h(abilit)m(y)e(to)j(c)m(hange)g(the)f
(distribution)150 609 y(of)d(the)f(reduced)g(data)h(on)f(the)h
(recipien)m(t)e(side)g(that)i(is)f(not)g(p)s(ossible)e(with)h(the)i
(existing)e(function.)332 722 y(Tw)m(o)h(prop)s(osals)f(will)f(b)s(e)i
(o\013ered)g(for)g(the)h(argumen)m(t)g(list:)150 962
y Ft(Single)f(data)g(t)m(yp)s(e)150 1322 y(MPI)p 318
1322 V 33 w(REDUCE)p 705 1322 V 32 w(SCA)-8 b(TTERV\(sendbuf,)22
b(sendcounts,)h(displs,)e(datat)m(yp)s(e,)h(recvbuf,)h(recvcount,)h
(op,)f(comm)150 1435 y(\))233 1590 y Fj(IN)312 b Ft(sendbuf)882
b Fj(address)27 b(of)g(send)h(bu\013er.)233 1740 y(IN)312
b Ft(sendcounts)757 b Fj(in)n(teger)18 b(arra)n(y)e(\(of)j(length)f
(group)g(size\))g(sp)r(ecifying)g(the)h(n)n(um-)1810
1853 y(b)r(er)28 b(of)g(elemen)n(ts)f(to)g(send)h(to)f(eac)n(h)g(pro)r
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b(arra)n(y)f(\(of)i(length)g(group)e(size\).)47 b(En)n(try)29
b Fg(i)i Fj(sp)r(eci\014es)1810 2116 y(the)38 b(displacemen)n(t)g
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2229 y(tak)n(e)27 b(the)h(outgoing)f(data)g(to)g(pro)r(cess)g
Fg(i)p Fj(.)233 2379 y(IN)312 b Ft(datat)m(yp)s(e)843
b Fj(data)28 b(t)n(yp)r(e)f(of)h(send)f(and)h(receiv)n(e)e(bu\013er)i
(\(handle\).)233 2530 y(OUT)217 b Ft(recvbuf)898 b Fj(address)27
b(of)g(receiv)n(e)g(bu\013er)g(\(c)n(hoice\).)233 2680
y(IN)312 b Ft(recvcount)808 b Fj(n)n(um)n(b)r(er)28 b(of)f(elemen)n(ts)
h(in)g(receiv)n(e)e(bu\013er)i(\(in)n(teger\).)233 2830
y(IN)312 b Ft(op)1081 b Fj(reduce)28 b(op)r(eration)e(\(handle\).)233
2980 y(IN)312 b Ft(comm)944 b Fj(comm)n(unicator)27 b(\(handle\).)332
3311 y Fk(Discussion:)34 b Fj(This)27 b(v)n(ersion)f(tak)n(es)g(a)h
(single)f(data)h(t)n(yp)r(e.)37 b(This)27 b(is)f(consisten)n(t)h(with)h
(the)f(existing)g(reduce)150 3410 y(functions)h(but)g(is)g(inconsisten)
n(t)f(with)h(the)g(scatter)f(functions.)332 3523 y(Examples)f(are)h
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y Fm(Also)e(prop)r(osed)g(b)n(y)f(S.)h(Fleisc)n(hman,)g(Con)n(v)n(ex)f
(Computer)g(Corp)r(oration.)-64 92 y Fq(1)-64 205 y(2)-64
318 y(3)-64 431 y(4)-64 544 y(5)-64 657 y(6)-64 770 y(7)-64
882 y(8)-64 995 y(9)-80 1108 y(10)-80 1221 y(11)-80 1334
y(12)-80 1447 y(13)-80 1560 y(14)-80 1673 y(15)-80 1786
y(16)-80 1899 y(17)-80 2012 y(18)-80 2124 y(19)-80 2237
y(20)-80 2350 y(21)-80 2463 y(22)-80 2576 y(23)-80 2689
y(24)-80 2802 y(25)-80 2915 y(26)-80 3028 y(27)-80 3141
y(28)-80 3254 y(29)-80 3366 y(30)-80 3479 y(31)-80 3592
y(32)-80 3705 y(33)-80 3818 y(34)-80 3931 y(35)-80 4044
y(36)-80 4157 y(37)-80 4270 y(38)-80 4383 y(39)-80 4496
y(40)-80 4609 y(41)-80 4721 y(42)-80 4834 y(43)-80 4947
y(44)-80 5060 y(45)-80 5173 y(46)-80 5286 y(47)-80 5399
y(48)p eop
14 15 bop 150 -200 a Fx(14)23 b Fo(CHAPTER)29 b(5.)72
b(EXTENDED)30 b(COLLECTIVE)f(OPERA)-8 b(TIONS)29 b(AND)i(RELA)-8
b(TED)31 b(ISSUES)150 99 y Ft(Sepa)m(rate)f(send)h(and)f(receive)h
(data)f(t)m(yp)s(es)150 459 y(MPI)p 318 459 28 4 v 33
w(REDUCE)p 705 459 V 32 w(SCA)-8 b(TTERV\(sendbuf,)23
b(sendcounts,)i(displs,)e(sendt)m(yp)s(e,)i(recvbuf,)f(recvcount,)i
(recvt)m(yp)s(e,)150 572 y(op,)31 b(comm)h(\))233 726
y Fj(IN)312 b Ft(sendbuf)882 b Fj(address)27 b(of)g(send)h(bu\013er)233
875 y(IN)312 b Ft(sendcounts)757 b Fj(in)n(teger)18 b(arra)n(y)e(\(of)j
(length)f(group)g(size\))g(sp)r(ecifying)g(the)h(n)n(um-)1810
988 y(b)r(er)28 b(of)g(elemen)n(ts)f(to)g(send)h(to)f(eac)n(h)g(pro)r
(cessor.)233 1137 y(IN)312 b Ft(displs)965 b Fj(in)n(teger)30
b(arra)n(y)f(\(of)i(length)g(group)e(size\).)47 b(En)n(try)29
b Fg(i)i Fj(sp)r(eci\014es)1810 1250 y(the)38 b(displacemen)n(t)g
(\(relativ)n(e)e(to)i Fg(sendbuf)f Fj(from)h(whic)n(h)f(to)1810
1363 y(tak)n(e)27 b(the)h(outgoing)f(data)g(to)g(pro)r(cess)g
Fg(i)p Fj(.)233 1512 y(IN)312 b Ft(sendt)m(yp)s(e)842
b Fj(data)28 b(t)n(yp)r(e)f(of)h(send)f(bu\013er)h(\(handle\).)233
1661 y(OUT)217 b Ft(recvbuf)898 b Fj(address)27 b(of)g(receiv)n(e)g
(bu\013er)g(\(c)n(hoice\).)233 1809 y(IN)312 b Ft(recvcount)808
b Fj(n)n(um)n(b)r(er)28 b(of)f(elemen)n(ts)h(in)g(receiv)n(e)e
(bu\013er)i(\(in)n(teger\).)233 1958 y(IN)312 b Ft(recvt)m(yp)s(e)858
b Fj(data)28 b(t)n(yp)r(e)f(of)h(recvbu\013er)f(\(handle\).)233
2107 y(IN)312 b Ft(op)1081 b Fj(reduce)28 b(op)r(eration)e(\(handle\).)
233 2256 y(IN)312 b Ft(comm)944 b Fj(comm)n(unicator)27
b(\(handle\).)332 2586 y Fk(Discussion:)k Fj(This)20
b(v)n(ersion)e(tak)n(es)i(a)f(separate)g(data)g(t)n(yp)r(e)i(argumen)n
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2686 y(This)k(is)g(consisten)n(t)f(with)h(the)h(existing)e(reduce)g
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b(.)36 b(The)25 b(t)n(yp)r(e)h(signatures)e(w)n(ould)h(b)r(e)g(exp)r
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150 2885 y(sides.)43 b(There)30 b(is)g(also)e(the)j(question)e(as)g(to)
h(whic)n(h)g(t)n(yp)r(e)g(\(send)g(or)f(receiv)n(e\))g(a)h(reduce)f(op)
r(eration)g(is)h(exp)r(ected)150 2985 y(to)d(b)r(e)h(able)g(to)f
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(prop)s(osed)f(that)i(the)g(in-place)e(extensions)h(also)g(b)s(e)g
(applied)e(to)j(this)f(prop)s(osed)f(function.)150 3547
y Fp(5.5.3)97 b(Intercommunicato)m(r)34 b(Collective)f(Op)s(erations)
150 3719 y Fx(In)f(the)h Ft(MPI-1)g Fx(standard,)f(collectiv)m(e)i(op)s
(erations)d(only)h(apply)f(to)j(in)m(tracomm)m(unicators)e([1)q(,)h
(Section)150 3832 y(4.2,)27 b(pg.)38 b(90];)28 b(ho)m(w)m(ev)m(er,)f
(most)e Ft(MPI)f Fx(collectiv)m(e)h(op)s(erations)e(can)i(b)s(e)e
(generalized)h(to)h(in)m(tercomm)m(unica-)150 3945 y(tors.)43
b(T)-8 b(o)31 b(understand)e(ho)m(w)i Ft(MPI)g Fx(can)g(b)s(e)g
(extended,)g(w)m(e)g(can)h(view)e(most)h Ft(MPI)g Fx(in)m(tracomm)m
(unicator)150 4057 y(collectiv)m(e)g(op)s(erations)f(in)m(to)g(one)h
(of)f(the)h(follo)m(wing)e(categories)j(\(see,)f(for)f(instance,)h
([3]\):)150 4238 y Fh(All-T)-9 b(o-All)46 b Fx(All)29
b(pro)s(cesses)h(con)m(tribute)g(to)h(the)g(result.)39
b(All)29 b(pro)s(cesses)h(receiv)m(e)i(the)e(result.)486
4423 y Fs(\017)46 b Ft(M)p Fx(PI)p 757 4423 V 32 w(Allgather,)30
b(MPI)p 1394 4423 V 33 w(Allgatherv)486 4566 y Fs(\017)46
b Ft(M)p Fx(PI)p 757 4566 V 32 w(Alltoall,)29 b(MPI)p
1318 4566 V 33 w(Alltoallv)486 4709 y Fs(\017)46 b Ft(M)p
Fx(PI)p 757 4709 V 32 w(Allreduce,)29 b(MPI)p 1399 4709
V 33 w(Reduce)p 1721 4709 V 33 w(scatter)150 4894 y Fh(All-T)-9
b(o-One)45 b Fx(All)29 b(pro)s(cesses)h(con)m(tribute)g(to)h(the)g
(result.)40 b(One)30 b(pro)s(cess)g(receiv)m(es)h(the)f(result.)486
5079 y Fs(\017)46 b Ft(M)p Fx(PI)p 757 5079 V 32 w(Gather,)31
b(MPI)p 1301 5079 V 33 w(Gatherv)486 5222 y Fs(\017)46
b Ft(M)p Fx(PI)p 757 5222 V 32 w(Reduce)150 5407 y Fh(One-T)-9
b(o-All)45 b Fx(One)30 b(pro)s(cess)g(con)m(tributes)g(to)h(the)g
(result.)39 b(All)29 b(pro)s(cesses)h(receiv)m(e)i(the)e(result.)3934
92 y Fq(1)3934 205 y(2)3934 318 y(3)3934 431 y(4)3934
544 y(5)3934 657 y(6)3934 770 y(7)3934 882 y(8)3934 995
y(9)3919 1108 y(10)3919 1221 y(11)3919 1334 y(12)3919
1447 y(13)3919 1560 y(14)3919 1673 y(15)3919 1786 y(16)3919
1899 y(17)3919 2012 y(18)3919 2124 y(19)3919 2237 y(20)3919
2350 y(21)3919 2463 y(22)3919 2576 y(23)3919 2689 y(24)3919
2802 y(25)3919 2915 y(26)3919 3028 y(27)3919 3141 y(28)3919
3254 y(29)3919 3366 y(30)3919 3479 y(31)3919 3592 y(32)3919
3705 y(33)3919 3818 y(34)3919 3931 y(35)3919 4044 y(36)3919
4157 y(37)3919 4270 y(38)3919 4383 y(39)3919 4496 y(40)3919
4609 y(41)3919 4721 y(42)3919 4834 y(43)3919 4947 y(44)3919
5060 y(45)3919 5173 y(46)3919 5286 y(47)3919 5399 y(48)p
eop
15 16 bop 150 -200 a Fo(5.5.)72 b(EXTENDED)31 b(COLLECTIVE)d(OPERA)-8
b(TIONS)1493 b Fx(15)486 99 y Fs(\017)46 b Ft(M)p Fx(PI)p
757 99 28 4 v 32 w(Bcast)486 245 y Fs(\017)g Ft(M)p Fx(PI)p
757 245 V 32 w(Scatter,)32 b(MPI)p 1306 245 V 33 w(Scatterv)150
432 y Fh(Other)45 b Fx(Collectiv)m(e)30 b(op)s(erations)g(that)h(do)f
(not)g(\014t)h(in)m(to)f(one)h(of)f(the)h(ab)s(o)m(v)m(e)g(categories.)
486 620 y Fs(\017)46 b Ft(M)p Fx(PI)p 757 620 V 32 w(Scan)486
766 y Fs(\017)g Ft(M)p Fx(PI)p 757 766 V 32 w(Barrier)150
954 y(The)25 b Ft(M)p Fx(PI)p 512 954 V 32 w(Barrier)h(op)s(eration)f
(do)s(es)h(not)g(\014t)g(in)m(to)g(this)e(classi\014cation)h(since)h
(no)f(data)i(is)e(b)s(eing)g(mo)m(v)m(ed.)150 1067 y(The)30
b(data)h(mo)m(v)m(emen)m(t)h(pattern)f(of)f Ft(M)p Fx(PI)p
1585 1067 V 32 w(Scan)g(do)s(es)g(not)h(\014t)f(this)g(taxonom)m(y)-8
b(.)332 1179 y(Comm)m(unicators)28 b(con)m(tain)i(a)g(\\left")f(and)g
(a)h(\\righ)m(t")f(group.)40 b(Collectiv)m(e)29 b(op)s(erations)g(can)g
(b)s(e)g(de-)150 1292 y(scrib)s(ed)21 b(in)g(terms)h(of)h(these)g(t)m
(w)m(o)h(groups.)38 b(F)-8 b(or)23 b(example,)h(an)f(all-to-all)f
Ft(M)p Fx(PI)p 2794 1292 V 32 w(Allgather)g(op)s(eration)g(can)150
1405 y(b)s(e)29 b(describ)s(ed)e(as)i(collecting)g(data)h(from)f(all)f
(mem)m(b)s(ers)g(of)i(one)f(group)g(with)f(the)h(result)f(app)s(earing)
g(in)150 1518 y(all)23 b(mem)m(b)s(ers)h(of)h(the)g(other)g(group)f
(\(see)h(\014gure)f(5.4\).)40 b(As)25 b(another)g(example,)g(a)g
(one-to-all)h Ft(M)p Fx(PI)p 3502 1518 V 32 w(Bcast)150
1631 y(op)s(eration)h(sends)g(data)h(from)f(one)h(mem)m(b)s(er)f(of)g
(one)h(group)f(to)i(all)d(mem)m(b)s(ers)h(of)g(the)h(other)g(group)f
(\(see)150 1744 y(\014gure)32 b(5.3\).)47 b(F)-8 b(or)33
b(in)m(tracomm)m(unicators,)g(these)g(t)m(w)m(o)g(groups)f(are)g(the)h
(same.)46 b(F)-8 b(or)33 b(in)m(tercomm)m(unica-)150
1857 y(tors,)f(these)g(t)m(w)m(o)g(groups)f(are)g(distinct.)42
b(F)-8 b(or)32 b(symmetry)-8 b(,)32 b(eac)m(h)h(suc)m(h)d(op)s(eration)
h(is)f(describ)s(ed)g(in)g(t)m(w)m(o)150 1970 y(phases,)g(so)h(that)g
(it)f(has)g(a)h(full-duplex)26 b(b)s(eha)m(vior.)332
2083 y(F)-8 b(or)39 b Ft(MPI-2)p Fx(,)i(the)e(follo)m(wing)e(in)m
(tracomm)m(uniator)h(collectiv)m(e)h(op)s(erations)e(also)i(apply)e(to)
i(in)m(ter-)150 2196 y(comm)m(unicators:)286 2383 y Fs(\017)46
b Ft(M)p Fx(PI)p 557 2383 V 32 w(BCAST,)286 2571 y Fs(\017)g
Ft(M)p Fx(PI)p 557 2571 V 32 w(GA)-8 b(THER,)31 b(MPI)p
1217 2571 V 33 w(GA)-8 b(THER)e(V,)286 2759 y Fs(\017)46
b Ft(M)p Fx(PI)p 557 2759 V 32 w(SCA)-8 b(TTER,)30 b(MPI)p
1260 2759 V 32 w(SCA)-8 b(TTER)e(V,)286 2946 y Fs(\017)46
b Ft(M)p Fx(PI)p 557 2946 V 32 w(ALLGA)-8 b(THER,)31
b(MPI)p 1399 2946 V 33 w(ALLGA)-8 b(THER)e(V,)286 3134
y Fs(\017)46 b Ft(M)p Fx(PI)p 557 3134 V 32 w(GA)-8 b(THER)p
983 3134 V 34 w(SCA)g(TTER,)286 3321 y Fs(\017)46 b Ft(M)p
Fx(PI)p 557 3321 V 32 w(ALL)-8 b(TO)m(ALL,)31 b(MPI)p
1313 3321 V 32 w(ALL)-8 b(TO)m(ALL)e(V,)31 b(\(MPI)p
2162 3321 V 33 w(ALL)-8 b(TO)m(ALL)e(W\))286 3509 y Fs(\017)46
b Ft(M)p Fx(PI)p 557 3509 V 32 w(REDUCE,)31 b(MPI)p 1217
3509 V 32 w(ALLREDUCE,)286 3697 y Fs(\017)46 b Ft(M)p
Fx(PI)p 557 3697 V 32 w(REDUCE)p 983 3697 V 33 w(SCA)-8
b(TTER,)286 3884 y Fs(\017)46 b Ft(M)p Fx(PI)p 557 3884
V 32 w(BARRIER.)150 4072 y(Additional)28 b(new)i(calls)f(are)i(as)g
(follo)m(ws:)286 4260 y Fs(\017)46 b Ft(M)p Fx(PI)p 557
4260 V 32 w(GA)-8 b(THER)p 983 4260 V 34 w(SCA)g(TTER.)150
4447 y(These)36 b(functions)f(use)h(exactly)h(the)f(same)h(argumen)m(t)
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4560 y(w)m(ork)30 b(on)h(in)m(tracomm)m(unicators,)f(as)h(exp)s(ected.)
150 4804 y Fp(5.5.4)97 b(Op)s(erations)33 b(that)g(Move)e(Data)150
4975 y Fx(F)-8 b(ull-duplex)20 b(\(or)k(symmetric)f(seman)m(tics\))h
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(v)m(e)j(b)s(een)150 5088 y(c)m(hosen)31 b(as)g(the)f
Ft(MPI-2)h Fx(approac)m(h)g(for)f(suc)m(h)g(op)s(erations)2127
5055 y Fn(8)p 150 5167 1440 4 v 254 5221 a Fq(8)288 5253
y Fm(Prop)r(osal)e(b)n(y)c(Marc)j(Snir,)f(IBM.)-64 92
y Fq(1)-64 205 y(2)-64 318 y(3)-64 431 y(4)-64 544 y(5)-64
657 y(6)-64 770 y(7)-64 882 y(8)-64 995 y(9)-80 1108
y(10)-80 1221 y(11)-80 1334 y(12)-80 1447 y(13)-80 1560
y(14)-80 1673 y(15)-80 1786 y(16)-80 1899 y(17)-80 2012
y(18)-80 2124 y(19)-80 2237 y(20)-80 2350 y(21)-80 2463
y(22)-80 2576 y(23)-80 2689 y(24)-80 2802 y(25)-80 2915
y(26)-80 3028 y(27)-80 3141 y(28)-80 3254 y(29)-80 3366
y(30)-80 3479 y(31)-80 3592 y(32)-80 3705 y(33)-80 3818
y(34)-80 3931 y(35)-80 4044 y(36)-80 4157 y(37)-80 4270
y(38)-80 4383 y(39)-80 4496 y(40)-80 4609 y(41)-80 4721
y(42)-80 4834 y(43)-80 4947 y(44)-80 5060 y(45)-80 5173
y(46)-80 5286 y(47)-80 5399 y(48)p eop
16 17 bop 150 -200 a Fx(16)23 b Fo(CHAPTER)29 b(5.)72
b(EXTENDED)30 b(COLLECTIVE)f(OPERA)-8 b(TIONS)29 b(AND)i(RELA)-8
b(TED)31 b(ISSUES)750 2025 y @beginspecial 21.500000
@llx 378 @lly 553.500000 @urx 780.250000 @ury 2880 @rwi
@setspecial
/MAV 300 dict def
MAV begin
/useClip true def
/top 0 def
/left 1 def
/bottom 2 def
/right 3 def
/CM 6 array def
/CTM 6 array def
/CTMR 6 array def
/MTC 6 array def
/blimit 1500 def
/bcnt 0 def
/rbox 8 array def
/segbox 8 array def
/bbox1 4 array def
/c1 3 array def
/c2 3 array def
/d 3 array def
/delta 3 array def
/mycurrentrgbcolor 3 array def
/ulx 0 def
/uly 1 def
/llx 2 def
/lly 3 def
/urx 4 def
/ury 5 def
/lrx 6 def
/lry 7 def
/sp [0 0] def
/ep [0 0] def
/bbox 4 array def
/pbox 4 array def
/scrnProc currentscreen 3 1 roll pop pop def
/currentcolorscreen where {
begin
currentcolorscreen
end
3 1 roll pop pop
4 2 roll pop pop
5 -2 roll pop pop
6 -2 roll pop pop
/kProc exch def
/bProc exch def
/gProc exch def
/rProc exch def
} if
/Max {2 copy gt {pop}{exch pop} ifelse} bind def
/Min {2 copy lt {pop}{exch pop} ifelse} bind def
/cellPenW 72.0 /currentcolorscreen where
{begin currentcolorscreen end pop pop
10 1 roll pop pop 8 1 roll pop pop
6 1 roll pop pop Max Max Max }
{currentscreen pop pop} ifelse div 2.0 div def
/rect {
/saveobj save def
R PC PF LC SS
saveobj restore
} bind def
/R {
newpath
pbox astore pop
0 792 translate 1 -1 scale CTMR currentmatrix pop exch translate
/objectCord mstore def
pbox right get 2 div
dup pbox left get exch sub
pbox left 3 -1 roll put
dup pbox right 3 -1 roll put
pbox bottom get 2 div
dup pbox top get exch sub
pbox top 3 -1 roll put
dup pbox bottom 3 -1 roll put
translate
CTM currentmatrix pop
57.3 mul rotate
RT
} bind def
/SaveScreenBW {
currentscreen
/scrnProc exch def
/scrnAngle exch def
/scrnFreq exch def
} bind def
/RestoreScreenBW {
scrnFreq scrnAngle MAV /scrnProc get setscreen
} bind def
/SetFreqAngleBW {
currentscreen
3 1 roll
pop pop
setscreen
} bind def
/SaveScreenColor {
currentcolorscreen
/grayProc exch def
/grayAngle exch def
/grayFreq exch def
/bProc exch def
/bAngle exch def
/bFreq exch def
/gProc exch def
/gAngle exch def
/gFreq exch def
/rProc exch def
/rAngle exch def
/rFreq exch def
} bind def
/RestoreColorScreen {
rFreq rAngle MAV /rProc get gFreq gAngle MAV /gProc get bFreq bAngle MAV /bProc get grayFreq grayAngle MAV /grayProc get setcolorscreen
} bind def
/SetFreqAngleColor {
currentcolorscreen
3 1 roll pop pop
4 2 roll pop pop
5 -2 roll pop pop
6 -2 roll pop pop
4 1 roll
6 1 roll
8 1 roll
10 1 roll
setcolorscreen
} bind def
/initmsaverestore {
userdict begin
/mdict 10 dict def
mdict begin
/mindex -1 def
/mstacksize 25 def
/mstack mstacksize array def
/incmindex {
/mindex mindex 1 add def
} bind def
/decmindex {
/mindex mindex 1 sub def
} bind def
/checkmindex {
mindex 0 lt {
(%ERROR: msave/mrestore stack underflow: Offending command 'mrestore'
) print flush
stop
}
{
mindex mstacksize ge {
(%ERROR: msave/mrestore stack overflow: Offending command 'msave'
) print flush
stop
} if
} ifelse
} bind def
/mpush {
incmindex
checkmindex
mstack mindex
3 -1 roll put
} bind def
/mpop {
checkmindex
mstack mindex get
decmindex
} bind def
end
end
} bind def
/msave {
mdict begin
matrix currentmatrix mpush
end
} bind def
/mrestore {
mdict begin
mpop setmatrix
end
} bind def
/msavelevel {
mdict begin
mindex 1 add
end
} bind def
/mstore {
matrix currentmatrix
} bind def
/AutoSizeY {
0 0 pl
dup 3 1 roll
4 -1 roll
add
pl exch pop
exch sub
} bind def
/pl {
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} bind def
/pll {
transform
round exch
round exch
itransform
} bind def
/pr {
dtransform
round exch
round exch
idtransform
} bind def
/m {
pl moveto
} bind def
/l {
pl lineto
} bind def
/c {
pl curveto
} bind def
/rm {
pr rmoveto
} bind def
/rl {
pr rlineto
} bind def
/ar {
5 -2 roll pl
5 2 roll
arc
} bind def
/an {
5 -2 roll pl
5 2 roll
arcn
} bind def
/MakePatternFont {
/FontDict 20 dict def
FontDict begin
/FontName exch def
/Encoding exch def
/FontMatrix [1 0 0 1 0 0 ] def
/FontType 3 def
/FontBBox [ 0 0 1 1 ] def
/PatternDict exch def
/RenderPattern {
patternDict exch get
exec
} bind def
/BuildChar {
exch begin
1 0 0 0 1 1 setcachedevice
Encoding exch get RenderPattern
end
} bind def
FontName FontDict definefont pop
end
} bind def
/SnapToPattenGrid
{
exch
dup 0 lt {
1 index sub
} if
1 index
div truncate
mul
} bind def
/FillPatternString {
dup length
1 sub
0 1 3 -1 roll {
2 index
2 index
3 -2 roll
put
} for
pop pop
} bind def
/AutoSizeY {
0.0 exch dtransform
round
idtransform exch pop
} bind def
/AutoSizeX {
0.0 dtransform
exch
round
exch
idtransform pop
} bind def
/AutoCellSize {
AutoSizeY
exch
AutoSizeX
exch
} bind def
/CheckPath {
false
{ pop pop pop true exit}
{ pop pop pop true exit}
{ pop pop pop pop pop pop pop true exit}
{ pop true exit}
pathforall
} bind def
/PatternFill { % patternCharacter
/patternString 1 string def
/cm mstore def
patternMatrix setmatrix
1 1 AutoCellSize
dup 0 eq { pop 1} if
exch
dup 0 eq { pop 1} if
exch
/patternSize exch 24.0 mul def
/PatternSizeX exch 24.0 mul patternString length mul def
/flaterror 0 def
patternString FillPatternString
gsave
flaterror 1 add setflat
flattenpath
pathbbox
grestore
psy add flaterror add psy SnapToPattenGrid
exch psx add flaterror add psx SnapToPattenGrid
3 -1 roll flaterror sub psy SnapToPattenGrid
4 -1 roll flaterror sub psx SnapToPattenGrid
4 2 roll pll
4 2 roll pll
/llxsnap exch def
/llysnap exch def
/urxsnap exch def
/urysnap exch def
gsave
useClip true eq {clip}{eoclip} ifelse newpath
/PatternFont findfont [psx 0.0 0.0 psy 0.0 0.0] makefont setfont
llysnap patternSize urysnap {
llxsnap exch moveto
llxsnap PatternSizeX urxsnap {
pop
patternString show
%currentpoint am
} for
} bind for
grestore
cm setmatrix
} bind def % End 'PatternFill'
/DefaultPatternFont {
/cm mstore def
patternMatrix setmatrix
1 1 AutoCellSize
dup 0 eq { pop 1} if
exch
dup 0 eq { pop 1} if
exch
/psy exch iSizeY mul def
/psx exch iSizeX mul def
/patternDict 64 dict def
patternDict begin
/NotDef {} def
/LiteDiagLines {
iSizeX iSizeY false [iSizeX 0.0 0.0 iSizeY -1.0 mul 0.0 iSizeY]
{pat}
imagemask
} bind def
end
/CustEncoding 256 array def
0 255 1 {
CustEncoding exch /NotDef put
} bind for
CustEncoding 65 /LiteDiagLines put
patternDict CustEncoding /PatternFont MakePatternFont
/pathSegProc {
strokepath
CheckPath {
65 PatternFill newpath
} if
} bind def
cm setmatrix
} bind def
/XRound {
dup
3 -1 roll
exch mul round
exch div
} bind def
/RoundMatrix {
/i 0 def
dup {
100000.0 XRound
1 index
exch i exch put
/i i 1 add def
} forall
} bind def
/GetBoxesRatio {
3 -1 roll sub
7 1 roll
exch sub
6 1 roll
3 -1 roll sub
5 1 roll
exch sub
4 1 roll
3 -1 roll div
3 1 roll
exch div
exch
} bind def
/T {792 exch sub} bind def
/sx 0 def
/sy 0 def
/ex 0 def
/ey 0 def
/lw 0 def
/siz 0 def
/U {gsave 0 setlinecap
/lw siz 0.078125 mul def /ey exch neg def /ex exch def /sy exch neg def /sx exch def
fontkind plain eq
{
lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto stroke
}
{
currentdict /outlineFontSize known outlineFontSize 0 gt and
{
fontkind outline eq
{
/sy sy 0.0119444 siz mul sub def
/ey ey 0.0119444 siz mul sub def
gsave
1 1 1 setrgbcolor lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto stroke
grestore
lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto
strokepath 0.0119444 siz mul setlinewidth stroke
} if
fontkind shadow eq fontkind outlineshadow eq or
{
/sy sy 0.0358332 siz mul sub def
/ey ey 0.0358332 siz mul sub def
lw setlinewidth
lw 2 div sx add sy
lw 2 div sub moveto
lw 2 div ex add ey
lw 2 div sub lineto stroke
gsave
1 1 1 setrgbcolor lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto stroke
grestore
lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto
strokepath 0.0119444 siz mul setlinewidth stroke
} if
} if
} ifelse
grestore} bind def
/plain 1 def
/outline 2 def
/shadow 3 def
/outlineshadow 4 def
/fess {
currentdict /outlineFontSize known {
/outlineFontSize 2 index def
} if
findfont exch dup /siz exch def scalefont setfont
} bind def
/SHDW {gsave siz oldfontname fess siz 0.055 mul x add y siz 0.05 mul sub moveto c show grestore} def
/NRML {gsave 1 1 1 setrgbcolor siz oldfontname fess x y moveto c show grestore siz /Outline fess x y moveto c show} def
/S {
fontkind plain eq {neg moveto show} if
fontkind outline eq {neg /y exch def /x exch def /c exch def NRML} if
fontkind shadow eq {neg /y exch def /x exch def /c exch def SHDW NRML} if
fontkind outlineshadow eq {neg /y exch def /x exch def /c exch def SHDW NRML} if
} bind def
/F {
/fontkind exch def
fontkind plain eq {fess} if
fontkind outline eq {dup /oldfontname exch def exch dup /siz exch def exch OLF} if
fontkind shadow eq {dup /oldfontname exch def exch dup /siz exch def exch OLF} if
fontkind outlineshadow eq {dup /oldfontname exch def exch dup /siz exch def exch OLF} if
} bind def
/makeoutlinedict 15 dict def
/makeoutlinefont
{
makeoutlinedict begin
/uniqueid exch def
/strokewidth exch def
/newfontname exch def
/basefontname exch def
/basefontdict basefontname findfont def
/numentries basefontdict maxlength 1 add def
basefontdict /UniqueID known not
{/numentries numentries 1 add def} if
/outfontdict numentries dict def
basefontdict
{
exch dup /FID ne {exch outfontdict 3 1 roll put} {pop pop} ifelse
}forall
outfontdict /FontName newfontname put
outfontdict /PaintType 2 put
outfontdict /StrokeWidth strokewidth put
outfontdict /UniqueID uniqueid put
newfontname outfontdict definefont pop
end
}def
/UID {
findfont dup /UniqueID known
{/UniqueID get 1 add}
{pop 1}
ifelse
} def
/OLF {
dup
/Outline
1000 62 div
4 -1 roll
UID
/outlineFontSize 5 index def
makeoutlinefont
/Outline findfont exch scalefont setfont
} def
/CopyEncoding {
findfont
/Encoding get
dup length array
/tarrayz exch def
tarrayz 0
3 -1 roll
putinterval
tarrayz
} bind def
/Re-encode {
dup length array copy
/eap 0 def
exch {
dup type /integertype eq {
/eap exch def
} {
1 index
exch
eap exch
put
/eap eap 1 add def
} ifelse
} forall
} bind def
/EncodeFont {
findfont dup
length dict
begin
{ 1 index /FID ne
{ def }
{ pop pop } ifelse
} forall
/FontName exch def
/Encoding exch def
FontName currentdict
end
definefont pop
} bind def
/clip2pathbbox {
/magicNum linewidth 2 div 1 2 sqrt div mul def
pathbbox
/urymn exch magicNum add def
/urxmn exch magicNum add def
/llymn exch magicNum sub def
/llxmn exch magicNum sub def
newpath llxmn llymn moveto llxmn urymn lineto urxmn urymn lineto urxmn llymn lineto
closepath clip newpath
} bind def
/Line {
MAV /LC get length 0 ne
{
gsave
newpath
MAV /ArrowType get length 0 eq
MAV /SD get length 0 eq and
{2 setlinecap /UseClip {clip2pathbbox} def }
{0 setlinecap /UseClip {} def } ifelse
0 792 translate
1 -1 scale
CTM currentmatrix pop
/yStart exch def /xStart exch def /yEnd exch def /xEnd exch def /linewidth exch def
MAV /ArrowType get length 0 eq xStart xEnd ne yStart yEnd ne and and
{xStart yStart moveto xEnd yEnd lineto UseClip xStart yStart moveto xEnd yEnd lineto}
{xStart yStart moveto xEnd yEnd lineto} ifelse
linewidth setlinewidth SD strokepath
CheckPath {LC PF ArrowType} if
grestore
}
{pop pop pop pop pop} ifelse
} bind def
/CompensateForStroke {
sin currentlinewidth mul
exch
cos currentlinewidth mul
dup 0 translate
4 -1 roll exch 2.0 mul sub
3 1 roll
2.0 mul sub
} bind def
/arrowdict 10 dict def
arrowdict begin
/SwallowTail {
newpath
0.0 0.0 moveto
1.0 -.5 lineto
.666 0.0 lineto
1.0 .5 lineto
closepath
} bind def
/Triangular {
newpath
0.0 0.0 moveto
1.0 -.5 lineto
1.0 .5 lineto
closepath
} bind def
/OpenTri {
newpath
1.0 0.5 moveto
0.0 0.0 lineto
1.0 -0.5 lineto
} bind def
/ClosedTri {
newpath
1.0 0.5 moveto
0.0 0.0 lineto
1.0 -0.5 lineto
closepath
} bind def
/SlashBar {
newpath
0.5 -.5 moveto
-.5 0.5 lineto
} bind def
/Dot {
newpath
0.5 0.0 moveto
0 0 1 0 360 arc
closepath
} bind def
/ExtSlashBar {
newpath
1.0 -.5 moveto
0.0 0.5 lineto
} bind def
end
/ScaleArrowHead {
0 0 4 -2 roll
0 0 1 1
8 -4 roll GetBoxesRatio
scale
} bind def
/DrawArrowHead {
gsave
[] 0 setdash
currentpoint translate rotate
{
4 copy
gsave
initmatrix
100 200 translate
msave
ScaleArrowHead pop
arrowdict exch get exec
mrestore
strokepath
0 0 3 index 3 index
pathbbox 8 4 roll
GetBoxesRatio
4 2 roll
grestore
3 index 1.0 exch sub
6 -1 roll
{
2 index mul
0 translate
}{
pop
} ifelse
msave
ScaleArrowHead scale
arrowdict exch get exec
mrestore
strokepath
} {
msave
ScaleArrowHead
arrowdict exch get exec
mrestore
} ifelse
CheckPath {
LC PF
} if
grestore
} bind def
/SR {
pbox left get pbox top get moveto
pbox right get pbox top get lineto
pbox right get pbox bottom get lineto
pbox left get pbox bottom get lineto
closepath
} bind def
/RR1 {
pbox top get pbox bottom get sub abs
pbox left get pbox right get sub abs
2 copy lt {
Min
2 div dup dup dup
pbox left get add pbox left 3 -1 roll put
pbox right get exch sub pbox right 3 -1 roll put
pbox left get pbox bottom get moveto
pbox right get 0 3 -1 roll 90 -90 arcn
pbox left get 0 3 -1 roll -90 90 arcn closepath
} {
Min
2 div dup dup dup
pbox bottom get exch sub pbox bottom 3 -1 roll put
pbox top get add pbox top 3 -1 roll put
pbox left get pbox bottom get moveto
pbox left get add pbox top get
2 index
180 0 arc
dup pbox left get add pbox bottom get
3 -1 roll 0 180 arc
closepath
} ifelse
} bind def
/RR2 {
dup dup dup dup dup dup dup dup
pbox top get add pbox top 3 -1 roll put
pbox left get add pbox left 3 -1 roll put
pbox bottom get exch sub pbox bottom 3 -1 roll put
pbox right get exch sub pbox right 3 -1 roll put
pbox bottom get add pbox left get exch moveto
pbox right get pbox bottom get 3 -1 roll 90 0 arcn
pbox right get pbox top get 3 -1 roll 0 270 arcn
pbox left get pbox top get 3 -1 roll 270 180 arcn
pbox left get pbox bottom get 3 -1 roll 180 90 arcn closepath
} bind def
/E {
1.415 setmiterlimit
CM currentmatrix pop
pbox right get pbox left get sub abs dup
pbox bottom get pbox top get sub abs dup 3 -1 roll
lt {exch dup 3 -1 roll exch div 1 exch}
{dup 3 -1 roll exch div 1} ifelse scale
0 0 3 -1 roll 2 div 0 360 arc closepath
CM setmatrix
} bind def
/StripFromFront {
dup length
2 index sub
3 1 roll
exch 3 -1 roll
getinterval
} bind def
/MakePathArray {
/k 0 def
{/k k 1 add def pop pop}{/k k 1 add def pop pop}{/k k 1 add def pop pop pop pop pop pop}{/k k 1 add def }pathforall
k array
/k 0 def
{{moveto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{lineto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{curveto} 7 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{closepath} 1 array astore 1 index k 3 -1 roll put /k k 1 add def}
pathforall
}bind def
/MakeFlatPathArray {
/k 0 def
{/k k 1 add def pop pop}{/k k 1 add def pop pop}{pop pop pop pop pop pop}{}pathforall
k array
/k 0 def
{{moveto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{lineto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{ pop pop pop pop pop pop}
{}
pathforall
}bind def
/FractionalLine {
2 index sub
.00001 mul
exch
3 index sub
.00001 mul
4 -1 roll add
3 1 roll
add
} bind def
/calcLineLength {
exch
4 -1 roll
sub
dup mul
3 1 roll exch
sub
dup mul
add sqrt
} bind def
/InitTotalLineLength {
/oldY exch def
/oldX exch def
theDash aload pop currentLineLength add setdash
} bind def
/AccumeLineLength {
3 copy pop
2 copy
oldX oldY
4 2 roll calcLineLength
/segmentLength exch def
/currentLineLength currentLineLength segmentLength add def
/oldY exch def
/oldX exch def
} bind def
/DecumeLastLineLength {
/currentLineLength currentLineLength segmentLength sub def
} bind def
/DrawFlattendSegment {
/pointCount 2 def
dup 0 lt { pop 0 } if
fpc
3 1 roll
2 index
1 index
gt {
2 copy get
dup length
dup 3 eq {
pop
dup 0 get
exch 1 get
2 copy InitTotalLineLength
m
} {
} ifelse
} {
pop 1 index
} ifelse
dup 1 add
3 index
exch sub
dup 10 gt { pop 10} if
{
1 add
2 copy
get aload pop
AccumeLineLength
exec
} repeat
3 1 roll pop pop
DecumeLastLineLength
} bind def
/IncFPC {
fpc add
/fpc exch def
} bind def
/DrawFlatPathArray {
fpc
0 {
dup 2 index
1 sub
lt {
flatPathArray exch
newpath
1 sub DrawFlattendSegment
gsave
pathSegProc
grestore
newpath
}
{
pop pop
exit
} ifelse
} loop
} bind def
/RecordFirstSubSegment {
closepathArray 0 pathArray 0 get
put
closepathArray 1
pathArray 0 get aload pop pop
pathArray 1 get dup length 3 eq {
aload pop pop
} {
newpath
0 0 moveto
aload pop exec
/segmentArray flattenpath MakeFlatPathArray def
segmentArray 1 get aload pop pop
} ifelse
FractionalLine {lineto} 3 array astore
put
} bind def
/AppendClosePath {
closepathArray 0 get 2 {lineto} put
flatPathArray fpc closepathArray 0 get put
1 IncFPC
flatPathArray fpc closepathArray 1 get put
1 IncFPC
} bind def
/RecordCurrentDash {
/theDash
currentdash 2 array astore def
/currentLineLength 0 def
} bind def
/PatternStroke {
0 setlinecap
RecordCurrentDash
/saveFlat currentflat def
.5 setflat
/pathArray MakePathArray def
/closepathArray 2 array def
/pathLength pathArray length def
/flatPathArray 513 array def
/currentLineLength 0 def
/fpc 0 def
pathArray pathLength 1 sub get
length 1 eq {
/usingClosepath true def
RecordFirstSubSegment
/pathLength pathLength 1 sub def
} {
/usingClosepath false def
} ifelse
0 1 pathLength 1 sub {
pathArray exch get
dup length 3 eq {
fpc 1 add 512 ge {
DrawFlatPathArray
fpc 2 ge {
flatPathArray flatPathArray fpc 2 sub get 0 put
flatPathArray flatPathArray fpc 1 sub get 1 put
/fpc 2 def
}{
/fpc 0 def
} ifelse
} if
flatPathArray exch fpc exch put
1 IncFPC
} {
dup length 7 eq {
newpath
/nToStrip 0 def
fpc 1 gt {
flatPathArray fpc 2 sub get aload pop pop m
flatPathArray fpc 1 sub get aload pop exec
/nToStrip 2 def
} {
fpc 1 eq {
flatPathArray fpc 1 sub get aload pop exec
/nToStrip 2 def
} if
} ifelse
aload pop exec
/segmentArray flattenpath MakeFlatPathArray def
/segmentArray nToStrip segmentArray StripFromFront def
segmentArray length fpc add 512 lt {
flatPathArray fpc segmentArray putinterval
segmentArray length IncFPC
} {
DrawFlatPathArray
fpc 1 gt {
flatPathArray flatPathArray fpc 2 sub get 0 exch put
flatPathArray flatPathArray fpc 1 sub get 1 exch put
/fpc 2 def
}{
/fpc 0 def
} ifelse
segmentArray length 512 lt {
flatPathArray fpc segmentArray putinterval
segmentArray length IncFPC
} {
segmentArray length
/exitLoop false def
0
{
2 copy sub
dup 500 gt {
pop 500
} {
/exitLoop true def
} ifelse
segmentArray 2 index 2 index getinterval
flatPathArray fpc 3 -1 roll putinterval
dup IncFPC
add
exitLoop {
exit
} {
DrawFlatPathArray
fpc 1 gt {
flatPathArray flatPathArray fpc 2 sub get 0 exch put
flatPathArray flatPathArray fpc 1 sub get 1 exch put
/fpc 2 def
}{
/fpc 0 def
} ifelse
} ifelse
} loop
} ifelse
} ifelse
} if
} ifelse
} for
fpc 0 gt {
usingClosepath {
AppendClosePath
} if
DrawFlatPathArray
} if
saveFlat setflat
} bind def
/rampdelta {
/len 0 3 -1 roll add def
/i2 0 3 -1 roll add def
/i1 0 3 -1 roll add def
/nRampSteps len cellPenW div cvi 1 add dup 512 gt {pop 512} if def
/rampPenW len nRampSteps div def
rampColors i1 get aload pop c1 astore pop
rampColors i2 get aload pop c2 astore pop
c2 0 get c1 0 get sub nRampSteps div d 0 3 -1 roll put
c2 1 get c1 1 get sub nRampSteps div d 1 3 -1 roll put
c2 2 get c1 2 get sub nRampSteps div d 2 3 -1 roll put
d aload pop
} bind def
/adddelta {
d astore pop
mycurrentrgbcolor c1 copy pop
c1 0 get d 0 get add c2 0 3 -1 roll put
c1 1 get d 1 get add c2 1 3 -1 roll put
c1 2 get d 2 get add c2 2 3 -1 roll put
c2 aload pop setrgbcolor
c2 mycurrentrgbcolor copy pop
} bind def
/rampline {
segbox ulx get rampPenW add segbox ulx 3 -1 roll put
segbox llx get rampPenW add segbox llx 3 -1 roll put
segbox ulx get segbox uly get moveto
segbox llx get segbox lly get lineto
delta aload pop adddelta stroke
}bind def
/slantrampseg {
gsave newpath
segbox ulx get segbox urx get sub abs
rampdelta delta astore pop
segbox ulx get rampPenW .5 mul sub segbox ulx 3 -1 roll put
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RF
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circularRamp
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grestore
RF
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grestore
cm setmatrix
} bind def % End 'PatternFill'
/DefaultPatternFont {
/cm mstore def
patternMatrix setmatrix
1 1 AutoCellSize
dup 0 eq { pop 1} if
exch
dup 0 eq { pop 1} if
exch
/psy exch iSizeY mul def
/psx exch iSizeX mul def
/patternDict 64 dict def
patternDict begin
/NotDef {} def
/LiteDiagLines {
iSizeX iSizeY false [iSizeX 0.0 0.0 iSizeY -1.0 mul 0.0 iSizeY]
{pat}
imagemask
} bind def
end
/CustEncoding 256 array def
0 255 1 {
CustEncoding exch /NotDef put
} bind for
CustEncoding 65 /LiteDiagLines put
patternDict CustEncoding /PatternFont MakePatternFont
/pathSegProc {
strokepath
CheckPath {
65 PatternFill newpath
} if
} bind def
cm setmatrix
} bind def
/XRound {
dup
3 -1 roll
exch mul round
exch div
} bind def
/RoundMatrix {
/i 0 def
dup {
100000.0 XRound
1 index
exch i exch put
/i i 1 add def
} forall
} bind def
/GetBoxesRatio {
3 -1 roll sub
7 1 roll
exch sub
6 1 roll
3 -1 roll sub
5 1 roll
exch sub
4 1 roll
3 -1 roll div
3 1 roll
exch div
exch
} bind def
/T {792 exch sub} bind def
/sx 0 def
/sy 0 def
/ex 0 def
/ey 0 def
/lw 0 def
/siz 0 def
/U {gsave 0 setlinecap
/lw siz 0.078125 mul def /ey exch neg def /ex exch def /sy exch neg def /sx exch def
fontkind plain eq
{
lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto stroke
}
{
currentdict /outlineFontSize known outlineFontSize 0 gt and
{
fontkind outline eq
{
/sy sy 0.0119444 siz mul sub def
/ey ey 0.0119444 siz mul sub def
gsave
1 1 1 setrgbcolor lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto stroke
grestore
lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto
strokepath 0.0119444 siz mul setlinewidth stroke
} if
fontkind shadow eq fontkind outlineshadow eq or
{
/sy sy 0.0358332 siz mul sub def
/ey ey 0.0358332 siz mul sub def
lw setlinewidth
lw 2 div sx add sy
lw 2 div sub moveto
lw 2 div ex add ey
lw 2 div sub lineto stroke
gsave
1 1 1 setrgbcolor lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto stroke
grestore
lw siz 0.0119444 mul sub setlinewidth sx sy moveto ex ey lineto
strokepath 0.0119444 siz mul setlinewidth stroke
} if
} if
} ifelse
grestore} bind def
/plain 1 def
/outline 2 def
/shadow 3 def
/outlineshadow 4 def
/fess {
currentdict /outlineFontSize known {
/outlineFontSize 2 index def
} if
findfont exch dup /siz exch def scalefont setfont
} bind def
/SHDW {gsave siz oldfontname fess siz 0.055 mul x add y siz 0.05 mul sub moveto c show grestore} def
/NRML {gsave 1 1 1 setrgbcolor siz oldfontname fess x y moveto c show grestore siz /Outline fess x y moveto c show} def
/S {
fontkind plain eq {neg moveto show} if
fontkind outline eq {neg /y exch def /x exch def /c exch def NRML} if
fontkind shadow eq {neg /y exch def /x exch def /c exch def SHDW NRML} if
fontkind outlineshadow eq {neg /y exch def /x exch def /c exch def SHDW NRML} if
} bind def
/F {
/fontkind exch def
fontkind plain eq {fess} if
fontkind outline eq {dup /oldfontname exch def exch dup /siz exch def exch OLF} if
fontkind shadow eq {dup /oldfontname exch def exch dup /siz exch def exch OLF} if
fontkind outlineshadow eq {dup /oldfontname exch def exch dup /siz exch def exch OLF} if
} bind def
/makeoutlinedict 15 dict def
/makeoutlinefont
{
makeoutlinedict begin
/uniqueid exch def
/strokewidth exch def
/newfontname exch def
/basefontname exch def
/basefontdict basefontname findfont def
/numentries basefontdict maxlength 1 add def
basefontdict /UniqueID known not
{/numentries numentries 1 add def} if
/outfontdict numentries dict def
basefontdict
{
exch dup /FID ne {exch outfontdict 3 1 roll put} {pop pop} ifelse
}forall
outfontdict /FontName newfontname put
outfontdict /PaintType 2 put
outfontdict /StrokeWidth strokewidth put
outfontdict /UniqueID uniqueid put
newfontname outfontdict definefont pop
end
}def
/UID {
findfont dup /UniqueID known
{/UniqueID get 1 add}
{pop 1}
ifelse
} def
/OLF {
dup
/Outline
1000 62 div
4 -1 roll
UID
/outlineFontSize 5 index def
makeoutlinefont
/Outline findfont exch scalefont setfont
} def
/CopyEncoding {
findfont
/Encoding get
dup length array
/tarrayz exch def
tarrayz 0
3 -1 roll
putinterval
tarrayz
} bind def
/Re-encode {
dup length array copy
/eap 0 def
exch {
dup type /integertype eq {
/eap exch def
} {
1 index
exch
eap exch
put
/eap eap 1 add def
} ifelse
} forall
} bind def
/EncodeFont {
findfont dup
length dict
begin
{ 1 index /FID ne
{ def }
{ pop pop } ifelse
} forall
/FontName exch def
/Encoding exch def
FontName currentdict
end
definefont pop
} bind def
/clip2pathbbox {
/magicNum linewidth 2 div 1 2 sqrt div mul def
pathbbox
/urymn exch magicNum add def
/urxmn exch magicNum add def
/llymn exch magicNum sub def
/llxmn exch magicNum sub def
newpath llxmn llymn moveto llxmn urymn lineto urxmn urymn lineto urxmn llymn lineto
closepath clip newpath
} bind def
/Line {
MAV /LC get length 0 ne
{
gsave
newpath
MAV /ArrowType get length 0 eq
MAV /SD get length 0 eq and
{2 setlinecap /UseClip {clip2pathbbox} def }
{0 setlinecap /UseClip {} def } ifelse
0 792 translate
1 -1 scale
CTM currentmatrix pop
/yStart exch def /xStart exch def /yEnd exch def /xEnd exch def /linewidth exch def
MAV /ArrowType get length 0 eq xStart xEnd ne yStart yEnd ne and and
{xStart yStart moveto xEnd yEnd lineto UseClip xStart yStart moveto xEnd yEnd lineto}
{xStart yStart moveto xEnd yEnd lineto} ifelse
linewidth setlinewidth SD strokepath
CheckPath {LC PF ArrowType} if
grestore
}
{pop pop pop pop pop} ifelse
} bind def
/CompensateForStroke {
sin currentlinewidth mul
exch
cos currentlinewidth mul
dup 0 translate
4 -1 roll exch 2.0 mul sub
3 1 roll
2.0 mul sub
} bind def
/arrowdict 10 dict def
arrowdict begin
/SwallowTail {
newpath
0.0 0.0 moveto
1.0 -.5 lineto
.666 0.0 lineto
1.0 .5 lineto
closepath
} bind def
/Triangular {
newpath
0.0 0.0 moveto
1.0 -.5 lineto
1.0 .5 lineto
closepath
} bind def
/OpenTri {
newpath
1.0 0.5 moveto
0.0 0.0 lineto
1.0 -0.5 lineto
} bind def
/ClosedTri {
newpath
1.0 0.5 moveto
0.0 0.0 lineto
1.0 -0.5 lineto
closepath
} bind def
/SlashBar {
newpath
0.5 -.5 moveto
-.5 0.5 lineto
} bind def
/Dot {
newpath
0.5 0.0 moveto
0 0 1 0 360 arc
closepath
} bind def
/ExtSlashBar {
newpath
1.0 -.5 moveto
0.0 0.5 lineto
} bind def
end
/ScaleArrowHead {
0 0 4 -2 roll
0 0 1 1
8 -4 roll GetBoxesRatio
scale
} bind def
/DrawArrowHead {
gsave
[] 0 setdash
currentpoint translate rotate
{
4 copy
gsave
initmatrix
100 200 translate
msave
ScaleArrowHead pop
arrowdict exch get exec
mrestore
strokepath
0 0 3 index 3 index
pathbbox 8 4 roll
GetBoxesRatio
4 2 roll
grestore
3 index 1.0 exch sub
6 -1 roll
{
2 index mul
0 translate
}{
pop
} ifelse
msave
ScaleArrowHead scale
arrowdict exch get exec
mrestore
strokepath
} {
msave
ScaleArrowHead
arrowdict exch get exec
mrestore
} ifelse
CheckPath {
LC PF
} if
grestore
} bind def
/SR {
pbox left get pbox top get moveto
pbox right get pbox top get lineto
pbox right get pbox bottom get lineto
pbox left get pbox bottom get lineto
closepath
} bind def
/RR1 {
pbox top get pbox bottom get sub abs
pbox left get pbox right get sub abs
2 copy lt {
Min
2 div dup dup dup
pbox left get add pbox left 3 -1 roll put
pbox right get exch sub pbox right 3 -1 roll put
pbox left get pbox bottom get moveto
pbox right get 0 3 -1 roll 90 -90 arcn
pbox left get 0 3 -1 roll -90 90 arcn closepath
} {
Min
2 div dup dup dup
pbox bottom get exch sub pbox bottom 3 -1 roll put
pbox top get add pbox top 3 -1 roll put
pbox left get pbox bottom get moveto
pbox left get add pbox top get
2 index
180 0 arc
dup pbox left get add pbox bottom get
3 -1 roll 0 180 arc
closepath
} ifelse
} bind def
/RR2 {
dup dup dup dup dup dup dup dup
pbox top get add pbox top 3 -1 roll put
pbox left get add pbox left 3 -1 roll put
pbox bottom get exch sub pbox bottom 3 -1 roll put
pbox right get exch sub pbox right 3 -1 roll put
pbox bottom get add pbox left get exch moveto
pbox right get pbox bottom get 3 -1 roll 90 0 arcn
pbox right get pbox top get 3 -1 roll 0 270 arcn
pbox left get pbox top get 3 -1 roll 270 180 arcn
pbox left get pbox bottom get 3 -1 roll 180 90 arcn closepath
} bind def
/E {
1.415 setmiterlimit
CM currentmatrix pop
pbox right get pbox left get sub abs dup
pbox bottom get pbox top get sub abs dup 3 -1 roll
lt {exch dup 3 -1 roll exch div 1 exch}
{dup 3 -1 roll exch div 1} ifelse scale
0 0 3 -1 roll 2 div 0 360 arc closepath
CM setmatrix
} bind def
/StripFromFront {
dup length
2 index sub
3 1 roll
exch 3 -1 roll
getinterval
} bind def
/MakePathArray {
/k 0 def
{/k k 1 add def pop pop}{/k k 1 add def pop pop}{/k k 1 add def pop pop pop pop pop pop}{/k k 1 add def }pathforall
k array
/k 0 def
{{moveto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{lineto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{curveto} 7 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{closepath} 1 array astore 1 index k 3 -1 roll put /k k 1 add def}
pathforall
}bind def
/MakeFlatPathArray {
/k 0 def
{/k k 1 add def pop pop}{/k k 1 add def pop pop}{pop pop pop pop pop pop}{}pathforall
k array
/k 0 def
{{moveto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{{lineto} 3 array astore 1 index k 3 -1 roll put /k k 1 add def}
{ pop pop pop pop pop pop}
{}
pathforall
}bind def
/FractionalLine {
2 index sub
.00001 mul
exch
3 index sub
.00001 mul
4 -1 roll add
3 1 roll
add
} bind def
/calcLineLength {
exch
4 -1 roll
sub
dup mul
3 1 roll exch
sub
dup mul
add sqrt
} bind def
/InitTotalLineLength {
/oldY exch def
/oldX exch def
theDash aload pop currentLineLength add setdash
} bind def
/AccumeLineLength {
3 copy pop
2 copy
oldX oldY
4 2 roll calcLineLength
/segmentLength exch def
/currentLineLength currentLineLength segmentLength add def
/oldY exch def
/oldX exch def
} bind def
/DecumeLastLineLength {
/currentLineLength currentLineLength segmentLength sub def
} bind def
/DrawFlattendSegment {
/pointCount 2 def
dup 0 lt { pop 0 } if
fpc
3 1 roll
2 index
1 index
gt {
2 copy get
dup length
dup 3 eq {
pop
dup 0 get
exch 1 get
2 copy InitTotalLineLength
m
} {
} ifelse
} {
pop 1 index
} ifelse
dup 1 add
3 index
exch sub
dup 10 gt { pop 10} if
{
1 add
2 copy
get aload pop
AccumeLineLength
exec
} repeat
3 1 roll pop pop
DecumeLastLineLength
} bind def
/IncFPC {
fpc add
/fpc exch def
} bind def
/DrawFlatPathArray {
fpc
0 {
dup 2 index
1 sub
lt {
flatPathArray exch
newpath
1 sub DrawFlattendSegment
gsave
pathSegProc
grestore
newpath
}
{
pop pop
exit
} ifelse
} loop
} bind def
/RecordFirstSubSegment {
closepathArray 0 pathArray 0 get
put
closepathArray 1
pathArray 0 get aload pop pop
pathArray 1 get dup length 3 eq {
aload pop pop
} {
newpath
0 0 moveto
aload pop exec
/segmentArray flattenpath MakeFlatPathArray def
segmentArray 1 get aload pop pop
} ifelse
FractionalLine {lineto} 3 array astore
put
} bind def
/AppendClosePath {
closepathArray 0 get 2 {lineto} put
flatPathArray fpc closepathArray 0 get put
1 IncFPC
flatPathArray fpc closepathArray 1 get put
1 IncFPC
} bind def
/RecordCurrentDash {
/theDash
currentdash 2 array astore def
/currentLineLength 0 def
} bind def
/PatternStroke {
0 setlinecap
RecordCurrentDash
/saveFlat currentflat def
.5 setflat
/pathArray MakePathArray def
/closepathArray 2 array def
/pathLength pathArray length def
/flatPathArray 513 array def
/currentLineLength 0 def
/fpc 0 def
pathArray pathLength 1 sub get
length 1 eq {
/usingClosepath true def
RecordFirstSubSegment
/pathLength pathLength 1 sub def
} {
/usingClosepath false def
} ifelse
0 1 pathLength 1 sub {
pathArray exch get
dup length 3 eq {
fpc 1 add 512 ge {
DrawFlatPathArray
fpc 2 ge {
flatPathArray flatPathArray fpc 2 sub get 0 put
flatPathArray flatPathArray fpc 1 sub get 1 put
/fpc 2 def
}{
/fpc 0 def
} ifelse
} if
flatPathArray exch fpc exch put
1 IncFPC
} {
dup length 7 eq {
newpath
/nToStrip 0 def
fpc 1 gt {
flatPathArray fpc 2 sub get aload pop pop m
flatPathArray fpc 1 sub get aload pop exec
/nToStrip 2 def
} {
fpc 1 eq {
flatPathArray fpc 1 sub get aload pop exec
/nToStrip 2 def
} if
} ifelse
aload pop exec
/segmentArray flattenpath MakeFlatPathArray def
/segmentArray nToStrip segmentArray StripFromFront def
segmentArray length fpc add 512 lt {
flatPathArray fpc segmentArray putinterval
segmentArray length IncFPC
} {
DrawFlatPathArray
fpc 1 gt {
flatPathArray flatPathArray fpc 2 sub get 0 exch put
flatPathArray flatPathArray fpc 1 sub get 1 exch put
/fpc 2 def
}{
/fpc 0 def
} ifelse
segmentArray length 512 lt {
flatPathArray fpc segmentArray putinterval
segmentArray length IncFPC
} {
segmentArray length
/exitLoop false def
0
{
2 copy sub
dup 500 gt {
pop 500
} {
/exitLoop true def
} ifelse
segmentArray 2 index 2 index getinterval
flatPathArray fpc 3 -1 roll putinterval
dup IncFPC
add
exitLoop {
exit
} {
DrawFlatPathArray
fpc 1 gt {
flatPathArray flatPathArray fpc 2 sub get 0 exch put
flatPathArray flatPathArray fpc 1 sub get 1 exch put
/fpc 2 def
}{
/fpc 0 def
} ifelse
} ifelse
} loop
} ifelse
} ifelse
} if
} ifelse
} for
fpc 0 gt {
usingClosepath {
AppendClosePath
} if
DrawFlatPathArray
} if
saveFlat setflat
} bind def
/rampdelta {
/len 0 3 -1 roll add def
/i2 0 3 -1 roll add def
/i1 0 3 -1 roll add def
/nRampSteps len cellPenW div cvi 1 add dup 512 gt {pop 512} if def
/rampPenW len nRampSteps div def
rampColors i1 get aload pop c1 astore pop
rampColors i2 get aload pop c2 astore pop
c2 0 get c1 0 get sub nRampSteps div d 0 3 -1 roll put
c2 1 get c1 1 get sub nRampSteps div d 1 3 -1 roll put
c2 2 get c1 2 get sub nRampSteps div d 2 3 -1 roll put
d aload pop
} bind def
/adddelta {
d astore pop
mycurrentrgbcolor c1 copy pop
c1 0 get d 0 get add c2 0 3 -1 roll put
c1 1 get d 1 get add c2 1 3 -1 roll put
c1 2 get d 2 get add c2 2 3 -1 roll put
c2 aload pop setrgbcolor
c2 mycurrentrgbcolor copy pop
} bind def
/rampline {
segbox ulx get rampPenW add segbox ulx 3 -1 roll put
segbox llx get rampPenW add segbox llx 3 -1 roll put
segbox ulx get segbox uly get moveto
segbox llx get segbox lly get lineto
delta aload pop adddelta stroke
}bind def
/slantrampseg {
gsave newpath
segbox ulx get segbox urx get sub abs
rampdelta delta astore pop
segbox ulx get rampPenW .5 mul sub segbox ulx 3 -1 roll put
segbox llx get rampPenW .5 mul sub segbox llx 3 -1 roll put
rampColors exch get aload mycurrentrgbcolor copy pop setrgbcolor
rampPenW setlinewidth nRampSteps {rampline} repeat
grestore
}bind def
/flipramp {
rampColors 0 get rampColors 3 get rampColors 0 3 -1 roll put rampColors 3 3 -1 roll put
rampColors 1 get rampColors 2 get rampColors 1 3 -1 roll put rampColors 2 3 -1 roll put
} bind def
/leftrbox {
rbox segbox copy pop
rbox urx get rbox ulx get sub
flipRatio mul dup
segbox ulx get add segbox urx 3 -1 roll put
segbox llx get add segbox lrx 3 -1 roll put
} bind def
/rightrbox {
rbox segbox copy pop
rbox urx get rbox ulx get sub
flipRatio mul dup
segbox ulx get add segbox ulx 3 -1 roll put
segbox llx get add segbox llx 3 -1 roll put
} bind def
/drawslantramp {
segbox urx get segbox ulx get sub 3 div dup dup dup dup dup dup dup dup dup
segbox ulx get add segbox urx 3 -1 roll put
segbox llx get add segbox lrx 3 -1 roll put
segbox aload pop
0 0 1 slantrampseg
segbox astore pop
segbox ulx get add segbox ulx 3 -1 roll put
segbox llx get add segbox llx 3 -1 roll put
segbox urx get add segbox urx 3 -1 roll put
segbox lrx get add segbox lrx 3 -1 roll put
segbox aload pop
1 1 2 slantrampseg
segbox astore pop
segbox ulx get add segbox ulx 3 -1 roll put
segbox llx get add segbox llx 3 -1 roll put
segbox urx get add segbox urx 3 -1 roll put
segbox lrx get add segbox lrx 3 -1 roll put
2 2 3 slantrampseg
}bind def
/tan {
dup sin exch cos div
}bind def
/rampbox {
pbox top get dup rbox uly 3 -1 roll put rbox ury 3 -1 roll put
pbox left get dup rbox ulx 3 -1 roll put rbox llx 3 -1 roll put
pbox bottom get dup rbox lly 3 -1 roll put rbox lry 3 -1 roll put
pbox right get dup rbox urx 3 -1 roll put rbox lrx 3 -1 roll put
}bind def
/LoadSegBox {
4 copy
segbox llx 6 -1 roll put
segbox lly 5 -1 roll put
segbox lrx 4 -1 roll put
segbox lry 6 -1 roll put
segbox urx 5 -1 roll put
segbox ury 3 -1 roll put
segbox ulx 4 -1 roll put
segbox uly 3 -1 roll put
} bind def
/TransToCenter {
gsave
flattenpath
pathbbox
grestore
2 index
sub 2.0 div exch
3 index sub 2.0 div
4 -1 roll add
3 1 roll add
translate
} bind def
/RotRampGrad {
gsave
TransToCenter
-1.0 mul 180.0 add rotate
flattenpath
pathbbox
clip
newpath
LoadSegBox
flipRatio 1 lt dup{flipramp}if flipRatio 0 gt and
{
/flipRatio 1.0 flipRatio sub def
segbox rbox copy pop leftrbox drawslantramp flipramp rightrbox drawslantramp
}
{drawslantramp} ifelse
grestore
} bind def
/bbg {
pbox exch get
} bind def
/DR { % Directional ramp
/workingMatrix mstore def
objectCord setmatrix
flipramp
gsave
flattenpath pathbbox
grestore
pbox bottom 3 -1 roll put pbox right 3 -1 roll put pbox top 3 -1 roll put pbox left 3 -1 roll put
rampAngle RotRampGrad
RF
workingMatrix setmatrix
}bind def
/ramparc {
gsave
circum rampdelta delta astore pop
/rampPenW 60.0 nRampSteps div def
/ang1 exch rampAngle sub def
/ang2 rampPenW ang1 add def
rampColors exch get aload mycurrentrgbcolor copy pop setrgbcolor 1 setlinewidth
nRampSteps {ramparcseg}repeat
grestore
}bind def
/ramparcseg {
newpath
rampcenter aload pop moveto
rampcenter aload pop rampradius ang2 ang1 arcn fill
/ang1 ang2 def
/ang2 ang2 rampPenW add def
delta aload pop adddelta
}bind def
/GetRadius {
rbox urx get rbox llx get sub 2 div rampcenter 0 get abs add dup mul
rbox lly get rbox ury get sub 2 div rampcenter 1 get abs add dup mul
add sqrt
} bind def
/circularRamp {
rampbox
/rampradius GetRadius def
CalcCrcm
flipramp
0 0 0 1 ramparc
1 60 1 2 ramparc
2 120 2 3 ramparc
flipramp
0 180 0 1 ramparc
1 240 1 2 ramparc
2 300 2 3 ramparc
}bind def
/GetCircumf {
2.0 mul 3.1415926 mul
} bind def
/CalcCrcm {
rampradius GetCircumf
/circum exch 6.0 div def
} bind def
/CR {
gsave
clip
MTC currentmatrix pop
CTM setmatrix
flattenpath
pathbbox pbox bottom 3 -1 roll put pbox right 3 -1 roll put pbox top 3 -1 roll put pbox left 3 -1 roll put
pbox left get pbox right get sub abs 2 div
pbox left get add rampcenter 0 get add rampcenter 0 3 -1 roll put
pbox top get pbox bottom get sub abs 2 div
pbox top get add rampcenter 1 get add rampcenter 1 3 -1 roll put
circularRamp
MTC setmatrix
grestore
RF
}bind def
/SBR {
gsave
clip
/workingMatrix mstore def
objectCord setmatrix
flattenpath
/BaseBox pathbbox 4 array astore def
/len BaseBox 2 get BaseBox 0 get sub dup mul
BaseBox 3 get BaseBox 1 get sub dup mul
add sqrt
12.0 div
def
/EndBox
BaseBox aload pop
3 -1 roll sub
3 1 roll
exch sub
/dbx exch def
/dby exch def
BaseBox aload pop pop pop
/blly exch def
/bllx exch def
sbox 0 get 100.0 div dby mul blly add
sbox 1 get 100.0 div dbx mul bllx add
sbox 2 get 100.0 div dby mul blly add
sbox 3 get 100.0 div dbx mul bllx add
exch
4 -2 roll
exch
4 -2 roll
4 array astore
def
BaseBox EndBox ShapeBurst
workingMatrix setmatrix
grestore
} bind def
/GetBoxCenter {
2 index
sub 2.0 div
3 -1 roll add
3 1 roll
1 index sub
2.0 div add
exch
} bind def
/GetInterBox {
/boxInter exch def
4 1 7 {
-1 roll
7 index
} for
sub boxInter mul
8 -1 roll add
7 1 roll
sub boxInter mul
7 -1 roll add
6 1 roll
sub boxInter mul
6 -1 roll add
5 1 roll
sub boxInter mul
5 -1 roll add
4 1 roll
} bind def
/GetBoxCenterDeltas {
GetBoxCenter
6 2 roll
GetBoxCenter
3 -1 roll exch sub
3 1 roll sub
exch
} bind def
/GetBoxCornerDeltas {
pop pop
4 2 roll pop pop
3 -1 roll sub
3 1 roll exch sub
exch
} bind def
/getpath {
/k 0 def
{/k k 1 add def pop pop}{/k k 1 add def pop pop}{/k k 1 add def pop pop pop pop pop pop}{}pathforall
/pfa k array def
/k 0 def
{{moveto} 3 array astore pfa k 3 -1 roll put /k k 1 add def}
{{lineto} 3 array astore pfa k 3 -1 roll put /k k 1 add def}
{{curveto} 7 array astore pfa k 3 -1 roll put /k k 1 add def}
{}pathforall
}bind def
/ShapeBurst {
getpath
newpath
/SBERect exch 4 array copy def
/SBBRect exch 4 array copy def
/interRect1 SBBRect aload pop SBERect aload pop .3333333 GetInterBox 4 array astore def
/interRect2 SBBRect aload pop SBERect aload pop .6666666 GetInterBox 4 array astore def
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