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CDMAKE.PS
资源名称：diehard.zip　[点击查看]
上传用户：wzoulong
上传日期：2021-03-05
资源大小：732k
文件大小：67k
源码类别：

PropertySheet

开发平台：

Others

CDMAKE.PS：源码内容
  1. %!PS-Adobe-2.0
  2. %%Creator: dvipsk 5.58a Copyright 1986, 1994 Radical Eye Software
  3. %%Title: cdmake.dvi
  4. %%Pages: 4
  5. %%PageOrder: Ascend
  6. %%BoundingBox: 0 0 596 842
  7. %%DocumentPaperSizes: a4
  8. %%EndComments
  9. %DVIPSCommandLine: dvips cdmake
  10. %DVIPSParameters: dpi=300, compressed, comments removed
  11. %DVIPSSource:  TeX output 1996.01.06:1551
  12. %%BeginProcSet: texc.pro
  13. /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N
  14. /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72
  15. mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1}
  16. ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale
  17. isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div
  18. hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul
  19. TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if}
  20. forall round exch round exch]setmatrix}N /@landscape{/isls true N}B
  21. /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B
  22. /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{
  23. /nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N
  24. string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N
  25. end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{
  26. /sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0]
  27. N df-tail}B /E{pop nn dup definefont setfont}B /ch-width{ch-data dup
  28. length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{
  29. 128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub
  30. get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data
  31. dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N
  32. /rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup
  33. /base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx
  34. 0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff
  35. setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff
  36. .1 sub]/id ch-image N /rw ch-width 7 add 8 idiv string N /rc 0 N /gp 0 N
  37. /cp 0 N{rc 0 ne{rc 1 sub /rc X rw}{G}ifelse}imagemask restore}B /G{{id
  38. gp get /gp gp 1 add N dup 18 mod S 18 idiv pl S get exec}loop}B /adv{cp
  39. add /cp X}B /chg{rw cp id gp 4 index getinterval putinterval dup gp add
  40. /gp X adv}B /nd{/cp 0 N rw exit}B /lsh{rw cp 2 copy get dup 0 eq{pop 1}{
  41. dup 255 eq{pop 254}{dup dup add 255 and S 1 and or}ifelse}ifelse put 1
  42. adv}B /rsh{rw cp 2 copy get dup 0 eq{pop 128}{dup 255 eq{pop 127}{dup 2
  43. idiv S 128 and or}ifelse}ifelse put 1 adv}B /clr{rw cp 2 index string
  44. putinterval adv}B /set{rw cp fillstr 0 4 index getinterval putinterval
  45. adv}B /fillstr 18 string 0 1 17{2 copy 255 put pop}for N /pl[{adv 1 chg}
  46. {adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{
  47. adv rsh nd}{1 add adv}{/rc X nd}{1 add set}{1 add clr}{adv 2 chg}{adv 2
  48. chg nd}{pop nd}]dup{bind pop}forall N /D{/cc X dup type /stringtype ne{]
  49. }if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup
  50. length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{
  51. cc 1 add D}B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin
  52. 0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul
  53. add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore userdict
  54. /eop-hook known{eop-hook}if showpage}N /@start{userdict /start-hook
  55. known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X
  56. /IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for
  57. 65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0
  58. 0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V
  59. {}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7
  60. getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false}
  61. ifelse}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale rulex ruley false
  62. RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR rulex ruley scale 1 1
  63. false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave newpath transform
  64. round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg
  65. rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail
  66. {dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail}B /c{-4 M}
  67. B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{3 M}B /k{
  68. 4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 w}B /q{
  69. p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{3 2 roll p
  70. a}B /bos{/SS save N}B /eos{SS restore}B end
  71. %%EndProcSet
  72. TeXDict begin 39158280 55380996 1000 300 300 (cdmake.dvi)
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  494. %%EndProlog
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  507. (ncert)o(ain.)20 b Fi(Gail)14 b(Gasr)n(am)2 332 y Fj(Thi)q(s)k(CDR)o
  508. (OM)f(con)o(t)o(ains)h(4.8)e(billion)g(ran)o(dom)g(bit)o(s,)j(in)f(s)q
  509. (ixt)o(y)f(10-m)o(ega)o(b)o(yt)o(e)f(14le)q(s.)30 b(Th)o(ey)19
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  513. (gen)o(era)o(t)o(ors)i((RNG's),)e(t)o(oget)n(h)o(er)i(wit)n(h)e(t)n
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  532. (most)i(of)g(t)n(h)o(e)h(common)d(ran)o(dom)g(RNG's,)-60
  533. 781 y(as)i(w)o(ell)f(as)h(s)q(ev)o(eral)g(n)o(ew)o(er)h(an)o(d)f(d)o
  534. (emonstra)o(bly)f(b)q(et)n(t)o(er)i(on)o(e)q(s.)-60 918
  535. y Fh(1)66 b(Pro)r(d)n(u)n(cin)o(g)21 b(t)m(h)n(e)h(Ran)n(dom)f(Nu)o(m)m
  536. (b)q(ers)-60 1009 y Fj(Th)o(e)11 b(s)q(ixt)o(y)f(10-m)o(ega)o(b)o(yt)o
  537. (e)e(14le)q(s)j(of)f(ran)o(dom)f(n)n(u)o(m)n(b)q(ers)i(are)g(pro)q(d)
  538. o(u)o(ce)q(d)g(b)o(y)g(com)n(binin)o(g)d(t)o(w)o(o)i(or)h(more)e(of)h
  539. (t)n(h)o(e)i(most)e(promi)q(s)q(in)o(g)-60 1059 y(d)o(et)o(ermini)q(st)
  540. o(ic)16 b(gen)o(era)o(t)o(ors)i(wit)n(h)f(source)q(s)h(of)e(ran)o(dom)f
  541. (noi)q(s)q(e)i(f)q(rom)d(t)n(hree)k(ph)o(ys)q(ical)e(d)o(evice)q(s)i
  542. ((whit)o(e)f(noi)q(s)q(e),)f(for)h(t)n(h)o(os)q(e)-60
  543. 1108 y(wh)o(o)g(feel)g(t)n(h)o(a)o(t)g(ph)o(ys)q(ical)f(source)q(s)j
  544. (of)e(ran)o(domn)o(e)q(ss)g(are)g(b)q(et)n(t)o(er)i(t)n(h)o(an)e(d)o
  545. (et)o(ermini)q(st)o(ic)f(source)q(s.)30 b(Som)o(e)15
  546. b(of)i(t)n(h)o(e)h(14le)q(s)f(h)o(ad)-60 1158 y(whit)o(e)c(noi)q(s)q
  547. (e)g(com)n(bin)o(e)q(d)f(wit)n(h)h(blac)o(k)f(noi)q(s)q(e,)h(t)n(h)o(e)
  548. g(la)o(t)n(t)o(er)h(f)q(rom)d(digit)o(al)h(recordin)o(gs)i(of)f(rap)g
  549. (m)n(us)q(ic.)j(An)o(d)e(a)f(few)g(of)g(t)n(h)o(e)g(14le)q(s)-60
  550. 1208 y(ev)o(en)k(h)o(ad)f(n)o(ak)o(e)q(d)g(ladie)q(s)g(t)n(hro)o(wn)h
  551. (in)o(t)o(o)e(t)n(h)o(e)i(mix,)e(f)q(rom)f(pixel)h(14le)q(s)i(on)f(t)
  552. n(h)o(e)h(n)o(et)o(w)o(or)o(k.)25 b(Th)o(e)17 b(last)f(t)o(w)o(o,)g
  553. (digit)o(ize)q(d)f(m)n(us)q(ic)-60 1258 y(an)o(d)g(pict)o(ure)q(s,)i
  554. (are)g(t)n(hro)o(wn)f(in)f(t)o(o)h(illustra)o(t)o(e)f(t)n(h)o(e)i(pr)q
  555. (inciple)e(t)n(h)o(a)o(t)h(a)f(sa)o(t)o(i)q(sf)q(act)o(ory)h(stream)f
  556. (of)h(ran)o(dom)e(bit)o(s)i(rem)o(ains)f(so)-60 1308
  557. y(aft)o(er)f(com)n(bin)o(a)o(t)o(ion)d(wit)n(h)j(t)n(h)o(e)h(bit)o(s)f
  558. (of)f(an)o(y)h(14le)g(.)2 1357 y(Th)o(a)o(t)g(imp)q(ort)o(an)o(t)e
  559. (pr)q(inciple)h(i)q(s)g(t)n(hi)q(s:)18 b(if)790 1407
  560. y Fg(x)814 1413 y Ff(1)833 1407 y Fg(;)7 b(x)876 1413
  561. y Ff(2)894 1407 y Fg(;)g(x)937 1413 y Ff(3)954 1407 y
  562. Fg(;)g(:)g(:)g(:)e(;)-60 1482 y Fj(i)q(s)13 b(a)h(truly)g(ran)o(dom)e
  563. (s)q(equence)k(of)d(in)o(d)o(ep)q(en)o(d)o(en)o(t)i(bit)o(s)f(t)o(akin)
  564. o(g)f(v)n(alue)q(s)h(0)g(an)o(d)f(1)h(wit)n(h)g(equal)f(proba)o(bilit)o
  565. (ie)q(s,)g(an)o(d)g(if)805 1573 y Fg(y)825 1579 y Ff(1)844
  566. 1573 y Fg(;)7 b(y)883 1579 y Ff(2)901 1573 y Fg(;)g(y)940
  567. 1579 y Ff(3)958 1573 y Fg(;)g(:)g(:)g(:)-60 1665 y Fj(i)q(s)13
  568. b(an)o(y)h(s)q(equence)i(of)d Fi(c)n(onstant)h Fj(or)g
  569. Fi(r)n(andom)g Fj(bit)o(s,)g(t)n(h)o(en)h(t)n(h)o(e)g(s)q(equence)466
  570. 1756 y Fg(x)490 1762 y Ff(1)518 1756 y Fj(+)9 b Fg(y)579
  571. 1762 y Ff(1)610 1756 y Fj(mo)q(d)h(2)p Fg(;)20 b(x)778
  572. 1762 y Ff(2)805 1756 y Fj(+)10 b Fg(y)867 1762 y Ff(2)897
  573. 1756 y Fj(mo)q(d)h(2)p Fg(;)20 b(x)1066 1762 y Ff(3)1093
  574. 1756 y Fj(+)10 b Fg(y)1155 1762 y Ff(3)1185 1756 y Fj(mo)q(d)g(2)p
  575. Fg(;)d(:)g(:)g(:)-60 1847 y Fj(i)q(s)13 b(also)h(a)f(truly)h(ran)o(dom)
  576. e(s)q(equence)k(of)d(in)o(d)o(ep)q(en)o(d)o(en)o(t)i(bit)o(s.)2
  577. 1897 y(Th)n(us)k(if)e(w)o(e)i(are)f(con14d)o(en)o(t)h(t)n(h)o(a)o(t)f
  578. (a)g(ph)o(ys)q(ical)f(d)o(evice,)j(carefully)d(constru)o(ct)o(e)q(d)k
  579. (t)o(o)d(pro)q(d)o(u)o(ce)h(ran)o(domn)o(e)q(ss)f((say)g(b)o(y)-60
  580. 1947 y(m)o(eans)12 b(of)f(Johnson)h(noi)q(s)q(e,)g(as)g(wit)n(h)g(on)o
  581. (e)g(of)g(our)g(inpu)o(t)o(s),)h(really)f(do)q(e)q(s)g(pro)q(d)o(u)o
  582. (ce)q(s)i(ran)o(dom)c(bit)o(s,)i(t)n(h)o(en)h(com)n(binin)o(g)d(it)i
  583. (wit)n(h)-60 1997 y(t)n(h)o(e)k(ou)o(t)o(pu)o(t)g(of)e(a)h(d)o(et)o
  584. (ermini)q(st)o(ic)f(gen)o(era)o(t)o(or(s))j(will)c(m)o(ain)o(t)o(ain)
  585. f(t)n(h)o(a)o(t)j(p)q(erfect)i(ran)o(domn)o(e)q(ss,)d(an)o(d)h(st)o
  586. (ill)f(m)o(ain)o(t)o(ain)e(it)j(if)f(w)o(e)-60 2047 y(t)n(hro)o(w)g(in)
  587. g(som)o(e)e(blac)o(k)h(noi)q(s)q(e.)2 2096 y(It)i(t)o(ur)q(ns)f(ou)o
  588. (t,)h(h)o(o)o(w)o(ev)o(er,)f(t)n(h)o(a)o(t)g(no)h(ph)o(ys)q(ical)e(d)o
  589. (evice)q(s)i(I)g(h)o(a)o(v)o(e)f(cons)q(id)o(ere)q(d)i(pass)f(t)n(h)o
  590. (e)g(str)q(in)o(gen)o(t)g(ran)o(domn)o(e)q(ss)f(require-)-60
  591. 2146 y(m)o(en)o(t)o(s)f(of)f(m)o(y)f(DIEHARD)i(ba)o(t)n(t)o(ery)h(of)e
  592. (t)o(e)q(st)o(s.)20 b(Bu)o(t)14 b(t)n(h)o(e)g(d)o(et)o(ermini)q(st)o
  593. (ic)e(m)o(et)n(h)o(o)q(ds)h(do.)k(So,)c(in)f(e13ect,)j(I)e(am)e(assu)
  594. o(min)o(g)i(our)-60 2196 y(d)o(et)o(ermini)q(st)o(ic)h(ran)o(dom)f(bit)
  595. o(s)i(are)g(t)n(h)o(e)h(truly)e(ran)o(dom)f(on)o(e)q(s,)i(t)n(h)o(e)h
  596. Fg(x)p Fj('s.)k(An)o(d)15 b(t)n(h)o(e)g(p)q(ert)o(urbin)o(g)h(on)o(e)q
  597. (s,)f(t)n(h)o(e)g Fg(y)q Fj('s,)g(are)g(comin)o(g)-60
  598. 2246 y(f)q(rom)d(ph)o(ys)q(ical)h(d)o(evice)q(s,)h(us)q(e)q(d)h(in)f
  599. (com)n(bin)o(a)o(t)o(ion)d(wit)n(h)j(t)n(h)o(e)g Fg(x)p
  600. Fj('s)g(t)o(o)g(m)o(ak)o(e)e(pre)q(dict)o(ion)i(virt)o(ually)e(imp)q
  601. (oss)q(ible.)2 2296 y(On)o(e)j(can)f(d)o(e14n)o(e)h(a)f(T)m(ruly)f
  602. (Ran)o(dom)e(Sequence)16 b(Of)e(Bit)o(s)g((TRSOB))h(recurs)q(iv)o
  603. (ely:)537 2387 y Fg(x)561 2393 y Ff(1)579 2387 y Fg(;)7
  604. b(x)622 2393 y Ff(2)640 2387 y Fg(;)g(x)683 2393 y Ff(3)701
  605. 2387 y Fg(;)g(:)g(:)g(:)t Fi(is)15 b(a)g Fj(TRSOB)42
  606. b Fi(if)14 b(and)i(only)f(if)364 2478 y Fg(x)388 2484
  607. y Ff(1)415 2478 y Fj(+)10 b Fg(y)477 2484 y Ff(1)507
  608. 2478 y Fj(mo)q(d)g(2)p Fg(;)d(x)662 2484 y Ff(2)689 2478
  609. y Fj(+)j Fg(y)751 2484 y Ff(2)781 2478 y Fj(mo)q(d)g(2)p
  610. Fg(;)d(x)936 2484 y Ff(3)963 2478 y Fj(+)i Fg(y)1024
  611. 2484 y Ff(3)1055 2478 y Fj(mo)q(d)h(2)p Fg(;)d(:)g(:)g(:)e
  612. Fi(is)14 b(a)h Fj(TRSOB)-60 2553 y Fi(for)f(every)h(se)n(quenc)n(e)h
  613. (of)f(bits)f Fg(y)431 2559 y Ff(1)450 2553 y Fg(;)7 b(y)489
  614. 2559 y Ff(2)507 2553 y Fg(;)g(y)546 2559 y Ff(3)565 2553
  615. y Fg(;)g(:)g(:)g(:)n Fi(,)14 b(c)n(onstant)i(or)e(r)n(andom.)905
  616. 2742 y Fj(1)p eop
  617. %%Page: 2 2
  618. 2 1 bop 2 -41 a Fj(Thi)q(s)13 b(i)q(s)g(cert)o(ainly)h(not)f(a)h
  619. (constru)o(ct)o(iv)o(e)h(d)o(e14nit)o(ion|bu)o(t)e(h)o(o)o(w)g(can)h
  620. (t)n(h)o(e)g(u)o(n)o(d)o(e14n)o(a)o(ble)g(b)q(e)g(d)o(e14n)o(e)q
  621. (d?)19 b(Not)n(hin)o(g)14 b(i)q(s)f(truly)-60 9 y(ran)o(dom.)i(A)o(t)c
  622. (b)q(e)q(st,)h(w)o(e)e(can)h(t)o(ak)o(e)g(adv)n(an)o(t)o(age)e(of)h(t)n
  623. (hi)q(s)h(id)o(ea)g(b)o(y)f(h)o(o)o(pin)o(g)g(t)n(h)o(a)o(t)h(on)o(e)g
  624. (of)f(t)n(h)o(e)h(comp)q(on)o(en)o(t)o(s)f(of)g(our)h(com)n(bin)o(a)o
  625. (t)o(ion,)-60 59 y(d)o(et)o(ermini)q(st)o(ic(s))j(+)g(noi)q(s)q
  626. (e(s),)f(pro)q(d)o(u)o(ce)q(s)j(som)o(et)n(hin)o(g)d(ad)o(equa)o(t)o
  627. (ely)h(clos)q(e)g(t)o(o)h(a)e(TRSOB.)2 108 y(As)j(DIEHARD)f(sh)o(o)o
  628. (ws,)g(t)n(h)o(e)h(bit)o(s)g(on)f(t)n(hi)q(s)h(CDR)o(OM)e(s)q(eem)h(t)o
  629. (o)h(b)q(e)f(truly)g(ran)o(dom)f(SOB's.)23 b(Bu)o(t)16
  630. b(t)n(h)o(ey)g(are)g(not,)f(nor)-60 158 y(can)e(t)n(h)o(ey)g(or)f(an)o
  631. (y)g(ot)n(h)o(ers)i(ev)o(er)g(b)q(e.)j(A)o(t)c(b)q(e)q(st)g(I)g(can)g
  632. (only)e(quan)o(t)o(ify)g(t)n(h)o(e)j(u)o(ncert)o(ain)o(t)o(y)f(b)o(y)f
  633. (b)q(et)n(t)o(in)o(g,)h(wit)n(h)f(h)o(ea)o(vy)h(o)q(dds,)g(t)n(h)o(a)o
  634. (t)-60 208 y(t)n(h)o(e)j(bit)o(s)g(on)f(t)n(hi)q(s)h(CDR)o(OM)e(will)g
  635. (pro)q(d)o(u)o(ce)j(re)q(sul)o(t)o(s)g(cons)q(i)q(st)o(en)o(t)f(wit)n
  636. (h)f(proba)o(bilit)o(y)f(t)n(h)o(eory|t)n(h)o(a)o(t)h(m)o(a)o(t)n(h)o
  637. (em)o(a)o(t)o(ical)d(14ct)o(ion)-60 258 y(w)o(e)i(us)q(e)h(t)o(o)f
  638. (quan)o(t)o(ify)e(d)o(egree)q(s)k(of)e(u)o(ncert)o(ain)o(t)o(y)m(.)2
  639. 308 y(Th)o(e)q(ir)j(p)q(ot)o(en)o(t)o(ial)f(us)q(e)q(s)i(ran)o(ge)f(f)q
  640. (rom)e(ela)o(b)q(ora)o(t)o(e)i(scien)o(t)o(i14c)g(s)q(im)n(ula)o(t)o
  641. (ions)d(t)o(o)j(us)q(e)g(in)g(gam)o(e)q(s:)22 b(sh)o(o)q(ot)17
  642. b(craps,)i(wit)n(h)d(t)n(h)o(e)-60 357 y(n)n(u)o(m)n(b)q(er)i(of)g(t)n
  643. (hro)o(ws)i(an)o(d)e(n)n(u)o(m)n(b)q(er)g(of)g(winnin)o(g)g(gam)o(e)q
  644. (s)g(almost)f(surely)i(wit)n(hin)f(t)n(h)o(e)i(limit)o(s)c(pro)o(vid)o
  645. (e)q(d)j(b)o(y)g(proba)o(bilit)o(y)-60 407 y(t)n(h)o(eory{an)o(d)c
  646. (just)g(as)g(surely)m(,)g(o)q(ccas)q(ion)o(al)f(re)q(sul)o(t)o(s)j(ou)o
  647. (t)o(s)q(id)o(e)f(t)n(h)o(os)q(e)g(limit)o(s,)c(wit)n(h)j(pre)q(dict)o
  648. (e)q(d)h(rar)q(it)o(y)m(.)k(Th)o(ey)15 b(could)g(ru)o(n)g(t)n(h)o(e)-60
  649. 457 y(gam)o(e)q(s)e(in)g(Las)h(V)m(egas)g(for)f(a)g(t)n(h)o(ousan)o(d)i
  650. (y)o(ears,)f(wit)n(h)g(no)f(on)o(e)h(t)n(h)o(e)h(wi)q(s)q(er.)j
  651. ((Except)d(t)n(h)o(os)q(e)g(wh)o(o)e(h)o(a)o(v)o(e)h(t)n(hi)q(s)g(CD.)
  652. f(Act)o(ually)m(,)-60 507 y(t)n(h)o(e)g(most)e(proli14c)g(consu)o(m)o
  653. (ers)h(of)g(ran)o(dom)e(n)n(u)o(m)n(b)q(ers)i(are)g(slot)f(m)o(ac)o
  654. (hin)o(e)q(s,)g(an)o(d)h(m)o(an)o(y)e(of)h(t)n(h)o(em)g(h)o(a)o(v)o(e)g
  655. (in)o(t)o(er)q(n)o(al)g(gen)o(era)o(t)o(ors)-60 557 y(bas)q(e)q(d)g(on)
  656. g(d)o(et)o(ermini)q(st)o(ic)e(m)o(et)n(h)o(o)q(ds)h(I)h(h)o(a)o(v)o(e)f
  657. (d)o(ev)o(elo)o(p)q(e)q(d.)18 b(Wh)o(et)n(h)o(er)11 b(t)n(h)o(os)q(e)h
  658. (gen)o(era)o(t)o(ors)g(are)f(p)q(ert)o(urb)q(e)q(d)h(wit)n(h)f(som)o(e)
  659. e(ph)o(ys)q(ical)-60 606 y(inpu)o(t,)14 b(I)f(h)o(a)o(v)o(e)h(not)g(b)q
  660. (een)g(t)o(old.))2 656 y(Th)o(e)h(CDR)o(OM)e(can)h(pro)o(vid)o(e)g(t)n
  661. (h)o(e)h(ran)o(dom)d(k)o(eystrok)o(e)q(s)j(of)f(a)f(monk)o(ey)g(a)o(t)h
  662. (a)f(t)o(yp)q(ewr)q(it)o(er)h(an)o(d)g(pro)q(d)o(u)o(ce)h(t)n(h)o(e)g
  663. (exp)q(ect)o(e)q(d)-60 706 y(n)n(u)o(m)n(b)q(er)f(of)f(part)o(icular)h
  664. (four-let)n(t)o(er)h(w)o(ords,)f(or)g(t)o(ot)o(al)f(n)n(u)o(m)n(b)q(er)
  665. h(of)g(di13eren)o(t)h(w)o(ords,)f(et)o(c.|all)e(wit)n(hin)i(t)n(h)o
  666. (e)h(t)n(h)o(e)g(pre)q(dict)o(e)q(d)-60 756 y(limit)o(s)d(most)h(of)h
  667. (t)n(h)o(e)g(t)o(im)o(e,)e(an)o(d)i(ou)o(t)o(s)q(id)o(e)h(wit)n(h)e(t)n
  668. (h)o(e)i(rar)q(it)o(y)e(pre)q(dict)o(e)q(d)i(b)o(y)f(t)n(h)o(eory)m(.)2
  669. 806 y(An)o(d,)k(most)f(imp)q(ort)o(an)o(t)n(ly)m(,)f(t)n(h)o(ey)i(can)g
  670. (pro)o(vid)o(e)f(t)n(h)o(e)i(source)f(of)f(ran)o(domn)o(e)q(ss)h(n)o
  671. (ece)q(ssary)i(for)d(s)q(er)q(ious)h(Mon)o(t)o(e)g(Carlo)-60
  672. 856 y(st)o(udie)q(s,)13 b(ran)o(gin)o(g)f(f)q(rom)e(ran)o(dom)g(knot)n
  673. (t)o(in)o(g)j(of)e(prot)o(e)q(in)h(molecule)q(s)f(t)o(o)h(t)n(h)o(e)h
  674. (form)o(a)o(t)o(ion)d(of)h(galaxie)q(s.)17 b(In)12 b(su)o(c)o(h)g(st)o
  675. (udie)q(s,)h(an)o(y)-60 905 y(di)q(sco)o(v)o(ery)h(rai)q(s)q(e)q(s)h(t)
  676. n(h)o(e)h(que)q(st)o(ion:)j(Is)c(t)n(h)o(e)h(re)q(sul)o(t)f(a)g(pro)o
  677. (p)q(ert)o(y)g(of)f(t)n(h)o(e)h(ph)o(ys)q(ical)e(syst)o(em)h(w)o(e)h
  678. (are)g(s)q(im)n(ula)o(t)o(in)o(g,)d(or)i(i)q(s)g(it)h(just)-60
  679. 955 y(b)q(eca)n(us)q(e)g(of)f(bad)f(ran)o(dom)f(n)n(u)o(m)n(b)q(ers?)2
  680. 1005 y(Wit)n(h)i(t)n(h)o(e)i(m)o(an)o(y)c(d)o(et)o(ermini)q(st)o(ic)i
  681. (RNG's)g(t)n(h)o(a)o(t)h(h)o(a)o(v)o(e)f(b)q(een)h(d)o(ev)o(elo)o(p)q
  682. (e)q(d,)g(on)o(e)f(can)h(usually)f(answ)o(er)h(t)n(h)o(a)o(t)g(que)q
  683. (st)o(ion.)20 b(If)-60 1055 y(t)n(h)o(e)e(re)q(sul)o(t)g(h)o(olds)f
  684. (for)f(a)h(v)n(ar)q(iet)o(y)g(of)f(di13eren)o(t)i(kin)o(ds)f(of)g
  685. (RNG's,)f(t)n(h)o(en)i(t)n(h)o(e)g(re)q(sul)o(t)g(can)g(b)q(e)f
  686. (con14d)o(en)o(t)n(ly)h(said)f(t)o(o)g(com)o(e)-60
  687. 1105 y(f)q(rom)c(t)n(h)o(e)k(assu)o(mpt)o(ions)e(a)o(b)q(ou)o(t)g(t)n
  688. (h)o(e)h(ph)o(ys)q(ical)f(syst)o(em)g(an)o(d)g(not)g(f)q(rom)f(d)o
  689. (epart)o(ure)j(f)q(rom)c(t)n(h)o(e)j(assu)o(m)o(e)q(d)g(u)o(niformit)o
  690. (y)d(an)o(d)-60 1154 y(in)o(d)o(ep)q(en)o(d)o(ence)j(of)d(t)n(h)o(e)i
  691. (ran)o(dom)d(inpu)o(t.)2 1204 y(Thi)q(s)j(di)q(sk)g(pro)o(vid)o(e)q(s)h
  692. (a)f(v)n(ar)q(iet)o(y)f(of)h(som)o(e)f(of)h(t)n(h)o(e)h(b)q(e)q(st)g(d)
  693. o(et)o(ermini)q(st)o(ic)f(m)o(et)n(h)o(o)q(ds)g(for)g(su)o(c)o(h)g
  694. (compar)q(i)q(sons,)f(as)h(w)o(ell)g(as)-60 1254 y(t)n(h)o(e)g(purp)q
  695. (ort)o(e)q(d)g(TRSOB's)f(t)n(h)o(a)o(t)g(sh)o(ould)f(b)q(e)h(t)n(h)o(e)
  696. h(14rst)g(recours)q(e.)-60 1391 y Fh(2)66 b(Ph)n(ys)q(ical)20
  697. b(Source)r(s)i(of)g(Ran)n(domn)n(e)r(s)q(s)-60 1482 y
  698. Fj(I)14 b(h)o(a)o(v)o(e)f(an)h(ela)o(b)q(ora)o(t)o(e)g(bro)q(c)o(h)n
  699. (ure)h(f)q(rom)d(a)i(compan)o(y)e(t)n(h)o(a)o(t)i(us)q(e)q(s)106
  700. 1565 y(\a)h(pro)o(pr)q(iet)o(ary)h(t)o(ec)o(hnology)f(t)o(o)h(crea)o
  701. (t)o(e)i(truly)e(ran)o(dom)e(n)n(u)o(m)n(b)q(ers.)25
  702. b(Since)16 b(t)n(h)o(e)h([d)o(evice])f(i)q(s)f(bas)q(e)q(d)i(on)e(a)44
  703. 1615 y(n)o(a)o(t)o(urally)h(o)q(ccurr)q(in)o(g)i(ran)o(dom)e(ph)o(enom)
  704. o(enon)h((Johnson)h(Noi)q(s)q(e))f(ra)o(t)n(h)o(er)i(t)n(h)o(an)e(a)g
  705. (digit)o(al)f(logic)g(circuit)i(or)44 1665 y(compu)o(t)o(er)d(program,)
  706. e(it)i(require)q(s)h(no)f(init)o(ial)e(st)o(art)o(in)o(g)i(v)n(alue)g
  707. (an)o(d)g(eac)o(h)h(n)o(ew)f(v)n(alue)f(i)q(s)h(in)o(d)o(ep)q(en)o(d)o
  708. (en)o(t)h(of)e(all)44 1715 y(previous)g(v)n(alue)q(s.")-60
  709. 1798 y(Sou)o(n)o(ds)g(grea)o(t.)19 b(Su)o(c)o(h)14 b(a)g(d)o(evice)h
  710. (sh)o(ould)e(solv)o(e)h(t)n(h)o(e)g(problem)e(of)i(pro)o(vidin)o(g)f
  711. (TRSOB's.)2 1848 y(In)f(plannin)o(g)f(for)g(t)n(hi)q(s)h(CDR)o(OM,)f(I)
  712. g(b)q(ough)o(t)h(on)o(e)g(of)f(t)n(h)o(os)q(e)i(d)o(evice)q(s,)g((a)o
  713. (b)q(ou)o(t)f($400)f(US))h(f)q(rom)e(Can)o(ad)o(a.)17
  714. b(I)12 b(also)f(b)q(ough)o(t)-60 1897 y(an)17 b(equally)f(impre)q(ss)q
  715. (iv)o(ely)f(do)q(cu)o(m)o(en)o(t)o(e)q(d)i(d)o(evice,)i(promi)q(s)q(in)
  716. o(g)14 b(true)k(ran)o(domn)o(e)q(ss,)f(f)q(rom)e(Germ)o(an)o(y)g((a)o
  717. (b)q(ou)o(t)i($300))f(an)o(d)-60 1947 y(h)o(ad)e(acce)q(ss)i(t)o(o)e
  718. (t)n(h)o(e)h(`ran)o(dom)c(ou)o(t)o(pu)o(t')k(f)q(rom)d(a)h(d)o(evice)i
  719. (f)q(rom)d(Califor)q(nia.)2 1997 y(So)i(I)g(h)o(ad)g(purp)q(ort)o(e)q
  720. (d)h(TRSOB's)f(f)q(rom)e(Can)o(ad)o(a,)h(Germ)o(an)o(y)g(an)o(d)h
  721. (Califor)q(nia.)i(W)m(ere)e(t)n(h)o(ey)h(T)m(ruly)e(Ran)o(dom)f(SOB's?)
  722. -60 2047 y(No,)h(not)f(a)o(t)h(all.)k(All)12 b(t)n(hree)i(f)q(aile)q(d)
  723. e(sp)q(ect)o(acularly)h(on)g(t)n(h)o(e)g(monk)o(ey)f(t)o(e)q(st)o(s,)i
  724. (whic)o(h)f(emph)o(as)q(ize)f(t)o(e)q(st)o(in)o(g)i(for)e(in)o(d)o(ep)q
  725. (en)o(d)o(ence.)2 2097 y(Example)q(s)h(of)g(t)n(h)o(e)i(ou)o(t)o(pu)o
  726. (t)g(f)q(rom)c(t)n(h)o(e)q(s)q(e)16 b(d)o(evice)q(s)f(are)f(in)g(t)n(h)
  727. o(e)g(14le)q(s)294 2146 y(can)o(ad)o(a.bit)83 b(germ)o(an)o(y)m(.bit)
  728. e(califor)q(n.bit)-60 2196 y(for)14 b(t)n(h)o(os)q(e)h(wh)o(o)e(w)o(an)
  729. o(t)h(t)o(o)g(try)g(t)n(h)o(em)f(wit)n(h)h(t)n(h)o(e)h(DIEHARD)e(ba)o
  730. (t)n(t)o(ery)m(.)2 2246 y(I)f(h)o(a)o(v)o(e)f(us)q(e)q(d)i(ou)o(t)o(pu)
  731. o(t)f(f)q(rom)e(t)n(h)o(e)q(s)q(e)j(d)o(evice)q(s)g(in)e(formin)o(g)f
  732. (t)n(h)o(e)i(ran)o(dom)e(bit)i(14le)q(s)g(in)f(t)n(hi)q(s)h(CDR)o
  733. (OM,)e(bu)o(t)i(in)g(com)n(bin)o(a)o(t)o(ion)-60 2296
  734. y(wit)n(h)f(som)o(e)f(of)g(t)n(h)o(e)i(most)f(promi)q(s)q(in)o(g)d(d)o
  735. (et)o(ermini)q(st)o(ic)i(RNG's,)h(d)o(e)q(scr)q(ib)q(e)q(d)h(n)o(ext.)
  736. 17 b(Th)o(e)12 b(la)o(t)n(t)o(er)f(pass)i(all)c(t)o(e)q(st)o(s)k(in)e
  737. (DIEHARD,)-60 2346 y(an)o(d)g(I)g(view)f(t)n(h)o(em)h(as)g(t)n(h)o(e)h
  738. (more)e(imp)q(ort)o(an)o(t)f(part)i(of)f(t)n(h)o(e)i(com)n(bin)o(a)o(t)
  739. o(ion|t)n(h)o(e)d Fg(x)p Fj('s)h(of)g(t)n(h)o(e)i(a)o(b)q(o)o(v)o(e)f
  740. (di)q(scuss)q(ion.)17 b(Th)o(e)11 b(ph)o(ys)q(ical)-60
  741. 2395 y(d)o(evice)j(bit)o(s,)g(t)n(h)o(e)g Fg(y)q Fj('s,)g(are)g(t)n(h)o
  742. (ere)h(t)o(o)f(prev)o(en)o(t)g(pre)q(dict)o(a)o(bilit)o(y)m(.)j(Th)o
  743. (ey)c(also)g(m)o(ak)o(e)f(t)n(h)o(e)i(p)q(er)q(io)q(ds)g(in14nit)o
  744. (e,)f(bu)o(t)h(t)n(h)o(a)o(t)f(i)q(s)g(of)g(no)-60 2445
  745. y(cons)q(equence,)i(as)e(t)n(h)o(e)h(p)q(er)q(io)q(d)f(of)g(t)n(h)o(e)g
  746. (d)o(et)o(ermini)q(st)o(ic)g(comp)q(on)o(en)o(t)f(i)q(s)g(so)i(h)n(uge)
  747. f(as)h(t)o(o)f(b)q(e)g(in14nit)o(e)g(for)g(pract)o(ical)f(purp)q(os)q
  748. (e)q(s.)905 2742 y(2)p eop
  749. %%Page: 3 3
  750. 3 2 bop -60 -41 a Fh(3)66 b(Th)n(e)22 b(Det)n(ermini)q(st)n(i)o(c)e
  751. (Gen)n(era)n(t)o(ors)-60 50 y Fj(As)15 b(y)o(ou)f(will)f(lear)q(n)h(f)q
  752. (rom)f(t)n(h)o(e)i Fe(makewhat)e Fj(execu)o(t)o(a)o(ble)i(14le)q(s)g
  753. (on)f(t)n(hi)q(s)h(di)q(sk,)e(t)n(h)o(ere)j(are)f(m)o(an)o(y)e(d)o(et)o
  754. (ermini)q(st)o(ic)g(RNG's)h(t)n(h)o(a)o(t)-60 100 y(pass)k(all)f(t)n(h)
  755. o(e)h(t)o(e)q(st)o(s)h(in)e(DIEHARD)g(an)o(d)g(h)o(a)o(v)o(e)g(extrem)o
  756. (ely)g(lon)o(g)g(p)q(er)q(io)q(ds.)28 b(F)m(urt)n(h)o(ermore,)18
  757. b(t)n(h)o(ey)g(s)q(eem)f(t)o(o)h(pass)g(for)f(all)-60
  758. 149 y(su)n(bstr)q(in)o(gs)f(of)d(bit)o(s,)h(trailin)o(g)f(as)h(w)o(ell)
  759. f(as)h(leadin)o(g,)f(f)q(rom)f(t)n(h)o(e)q(ir)j(32-bit)e(ou)o(t)o(pu)o
  760. (t.)19 b(Som)o(e)12 b(of)i(t)n(h)o(em)f(are:)-60 232
  761. y Fd(32-bit)h(m)n(ul)o(t)o(ip)o(ly-wi)o(t)n(h-)o(carry)f((MW)o(C))j
  762. (gen)o(era)o(t)o(ors,)j Fg(x)951 238 y Fc(n)985 232 y
  763. Fj(=)12 b Fg(ax)1075 238 y Fc(n)p Fb(00)p Ff(1)1149
  764. 232 y Fj(+)d(carry)k(mo)q(d)d Fg(b)h Fj(=)h(2)1481 217
  765. y Ff(32)1516 232 y Fj(.)44 278 y(F)m(orm)f Fg(ax)c Fj(+)g
  766. Fg(c)13 b Fj(in)f(adjoinin)o(g)f(regi)q(st)o(ers)k((64)d(bit)o(s).)18
  767. b(Th)o(e)13 b(n)o(ew)h Fg(c)e Fj(i)q(s)g(t)n(h)o(e)i(t)o(o)o(p)f(32)f
  768. (bit)o(s,)h(t)n(h)o(e)h(n)o(ew)f Fg(x)44 328 y Fj(t)n(h)o(e)i(b)q(ot)n
  769. (t)o(om)f(32.)20 b(If)14 b Fg(a)g Fj(i)q(s)h(c)o(h)o(os)q(en)g(so)g(t)n
  770. (h)o(a)o(t)g Fg(m)e Fj(=)g Fg(ab)c Fa(00)h Fj(1)15
  771. b(i)q(s)f(a)g(safepr)q(im)o(e,)f(t)n(h)o(e)i(p)q(er)q(io)q(d)g(will)e
  772. (b)q(e)44 378 y(()p Fg(m)5 b Fa(00)g Fj(1))p Fg(=)p
  773. Fj(2,)11 b(an)o(d)g(t)n(h)o(e)i(gen)o(era)o(t)o(or)g(s)q(eems)e(t)o(o)h
  774. (pass)h(all)d(t)o(e)q(st)o(s.)19 b(See)13 b(t)n(h)o(e)f(p)q(ost)o(scr)q
  775. (ipt)i(14le)d(m)o(wc1.ps.)-60 454 y Fd(Th)o(e)k(Mot)n(h)o(er)g(of)g
  776. (all)g(RNG's,)32 534 y Fg(x)56 540 y Fc(n)89 534 y Fj(=)d(2111111111)p
  777. Fg(x)367 540 y Fc(n)p Fb(00)p Ff(4)439 534 y Fj(+)d(1492)p
  778. Fg(x)588 540 y Fc(n)p Fb(00)p Ff(3)661 534 y Fj(+)h(1776)p
  779. Fg(x)811 540 y Fc(n)p Fb(00)p Ff(2)884 534 y Fj(+)g(5115)p
  780. Fg(x)1034 540 y Fc(n)p Fb(00)p Ff(1)1107 534 y Fj(+)f(carry)j(mo)q(d)
  781. e Fg(b)i Fj(=)g(2)1439 518 y Ff(32)32 583 y Fj(T)m(o)f(implem)n(en)o
  782. (t,)e(form)i(t)n(h)o(e)h(lin)o(ear)g(com)n(bin)o(a)o(t)o(ion)e(in)h
  783. (adjoinin)o(g)g(regi)q(st)o(ers)i((64)f(bit)o(s).)18
  784. b(Th)o(e)12 b(n)o(ew)32 633 y Fg(c)h Fj(i)q(s)g(t)n(h)o(e)h(t)o(o)o(p)g
  785. (32)f(bit)o(s,)g(t)n(h)o(e)h(n)o(ew)g Fg(x)f Fj(t)n(h)o(e)h(b)q(ot)n(t)
  786. o(om)f(32.)k(Th)o(e)d(p)q(er)q(io)q(d)f(i)q(s)g(a)o(b)q(ou)o(t)h(2)1256
  787. 618 y Ff(158)1307 633 y Fj(.)k(See)c(t)n(h)o(e)h(14le)32
  788. 683 y(m)o(wc1.ps.)-60 757 y Fd(Conca)o(t)o(en)o(a)o(t)o(e)q(d)e(16-bit)
  789. h(MW)o(C)j(gen)o(era)o(t)o(ors)45 831 y Fj(While)g(32-bit)g(m)n(ul)o(t)
  790. o(iply-wit)n(h-carry)f(gen)o(era)o(t)o(ors)j(are)f(more)f(d)o(e)q(s)q
  791. (ira)o(ble,)h(t)n(h)o(ey)g(can)g(only)f(b)q(e)45 881
  792. y(fully)12 b(exploit)o(e)q(d)h(if)f(on)o(e)h(h)o(as)g(m)o(eans)g(t)o(o)
  793. g(form)e(t)n(h)o(e)j(64-bit)e(pro)q(d)o(u)o(ct)i(of)e(32-bit)g(in)o(t)o
  794. (egers,)i(whic)o(h)45 931 y(usually)h(require)q(s)h(ass)q(em)n(bler.)22
  795. b(Bu)o(t)16 b(v)o(ers)q(ions)f(for)g(bas)q(e)h Fg(b)d
  796. Fj(=)h(2)1056 916 y Ff(16)1106 931 y Fj(are)h(readily)g(implem)o(en)o
  797. (t)o(e)q(d)45 981 y(in)i(C)f(or)h(F)m(ortran:)23 b(Ch)o(o)q(os)q(e)18
  798. b(t)n(h)o(e)f(m)n(ul)o(t)o(iplier)e Fg(a)h Fj(so)h(t)n(h)o(a)o(t)g
  799. Fg(m)f Fj(=)h Fg(ab)11 b Fa(00)g Fj(1)16 b(i)q(s)g(a)h(safepr)q(im)o
  800. (e.)25 b(F)m(or)45 1031 y(16-bit)15 b(s)q(ee)q(d)i(v)n(alue)q(s)f
  801. Fg(x)f Fj(an)o(d)h Fg(c)p Fj(()p Fg(<)f(a)p Fj(),)h(form)e
  802. Fg(ax)c Fj(+)h Fg(c)k Fj(in)h(32)f(bit)o(s.)24 b(Th)o(e)16
  803. b(n)o(ew)g Fg(c)g Fj(i)q(s)f(t)n(h)o(e)h(t)o(o)o(p)g(16,)45
  804. 1081 y(t)n(h)o(e)e(n)o(ew)e Fg(x)g Fj(t)n(h)o(e)i(b)q(ot)n(t)o(om)d
  805. (16.)17 b(F)m(or)c(example,)d(in)i(C,)g Fe(w=a*(w&65535)+(w>)o
  806. (>16))d Fj(forms)i(a)h(n)o(ew)45 1130 y(32-bit)f(w)o(ord)g
  807. Fe(w)g Fj(wh)o(os)q(e)i(up)o(p)q(er,lo)o(w)o(er)e(part)o(s)h(are)g(t)n
  808. (h)o(e)g(n)o(ew)g Fg(c;)7 b(x)p Fj(.)16 b(Th)o(e)c(p)q(er)q(io)q(d)f(i)
  809. q(s)g Fg(ab=)p Fj(2)t Fa(00)t Fj(1.)17 b(Tw)o(o)45
  810. 1180 y(su)o(c)o(h)e(16-bit)e(s)q(equence)q(s)k(can)d(b)q(e)g(conca)o(t)
  811. o(en)o(a)o(t)o(e)q(d)h(t)o(o)f(form)e(a)i(32-bit)f(s)q(equence)j(t)n(h)
  812. o(a)o(t)e(s)q(eems)g(t)o(o)45 1230 y(pass)h(all)e(t)o(e)q(st)o(s.)20
  813. b(Th)o(e)14 b(p)q(er)q(io)q(d)g(i)q(s)f(arou)o(n)o(d)h(2)723
  814. 1215 y Ff(120)775 1230 y Fj(.)k(See)c(t)n(h)o(e)h Fe(makewhat)d
  815. Fj(exec)j(14le.)-60 1304 y Fd(Th)o(e)g(KISS)h(Gen)o(era)o(t)o(or)45
  816. 1370 y Fj(Th)o(e)c(K)o(eep)g(It)f(Simple)d(St)o(upid)j(gen)o(era)o(t)o
  817. (or)h(com)n(bin)o(e)q(s)e(s)q(imple)f(gen)o(era)o(t)o(ors)j(t)o(o)f
  818. (get)h(a)e(f)q(ast,)h(eas)q(ily)45 1420 y(programm)o(e)q(d)i(comp)q(os)
  819. q(it)o(e)g(wit)n(h)i(v)o(ery)g(lon)o(g)g(p)q(er)q(io)q(d.)20
  820. b(It)15 b(forms)e Fg(x)d Fj(+)g Fg(y)h Fj(+)f Fg(z)k
  821. Fj(mo)q(d)c(2)1364 1405 y Ff(32)1414 1420 y Fj(,)k(wh)o(ere)45
  822. 1470 y Fg(x;)7 b(y)q(;)g(z)16 b Fj(are)e(form)o(e)q(d)f(b)o(y)366
  823. 1517 y Fg(x)390 1523 y Fc(n)454 1517 y Fj(=)42 b(69069)p
  824. Fg(x)657 1523 y Fc(n)p Fb(00)p Ff(1)730 1517 y Fj(+)9
  825. b(1)i(mo)q(d)g(2)916 1502 y Ff(32)370 1567 y Fg(y)390
  826. 1573 y Fc(n)454 1567 y Fj(=)42 b Fg(y)548 1573 y Fc(n)p
  827. Fb(00)p Ff(1)613 1567 y Fj(()p Fg(I)13 b Fj(+)d Fg(L)730
  828. 1552 y Ff(13)765 1567 y Fj()()p Fg(I)j Fj(+)d Fg(R)902
  829. 1552 y Ff(17)937 1567 y Fj()()p Fg(I)j Fj(+)c Fg(L)1069
  830. 1552 y Ff(5)1088 1567 y Fj())371 1617 y Fg(z)390 1623
  831. y Fc(n)454 1617 y Fj(=)42 b(2)p Fg(z)568 1623 y Fc(n)p
  832. Fb(00)p Ff(1)642 1617 y Fj(+)10 b Fg(z)703 1623 y Fc(n)p
  833. Fb(00)p Ff(2)777 1617 y Fj(+)g(carry)i(mo)q(d)e(2)1036
  834. 1602 y Ff(32)45 1670 y Fj(Th)o(e)15 b Fg(y)q Fj('s)g(are)g(a)f
  835. ((3)shift-regi)q(st)o(er)g(s)q(equence.)21 b(Th)o(e)15
  836. b(p)q(er)q(io)q(d)f(of)f(KISS)i(i)q(s)f(a)o(b)q(ou)o(t)g(2)1334
  837. 1655 y Ff(127)1385 1670 y Fj(.)20 b(See)15 b(t)n(h)o(e)45
  838. 1719 y(m)o(ak)o(ewh)o(a)o(t)e(exec)i(14le)f(as)g(w)o(ell)f(as)h(m)o
  839. (ak)o(e.txt.)-60 1786 y Fd(A)i(Simp)o(le)e(Com)n(bin)o(a)o(t)o(i)o(on)e
  840. (Gen)o(era)o(t)o(or)32 1860 y Fj(Th)o(e)i(t)o(w)o(o)f(s)q(equence)q(s)k
  841. (are)126 1910 y Fg(x)p Fj(()p Fg(n)p Fj())12 b(=)f
  842. Fg(x)p Fj(()p Fg(n)e Fa(00)h Fj(1))f Fa(03)g Fg(x)p
  843. Fj(()p Fg(n)g Fa(00)h Fj(2))h(mo)q(d)f(2)730 1895
  844. y Ff(32)126 1960 y Fg(y)q Fj(()p Fg(n)p Fj())j(=)f(30903)c
  845. Fa(03)g Fg(y)q Fj(()p Fg(n)j Fa(00)e Fj(1))g(+)h(carry)i(mo)q(d)e
  846. (2)822 1944 y Ff(16)857 1960 y Fg(;)32 2009 y Fj(Th)o(e)h(14rst)i(i)q
  847. (s)e(a)g(lagge)q(d)g(Fib)q(on)o(acci)h(gen)o(era)o(t)o(or)h(us)q(in)o
  848. (g)e(m)n(ul)o(t)o(iplica)o(t)o(i)o(on)e(on)i(32-bit)g(o)q(dd)g(in)o(t)o
  849. (egers,)32 2059 y(t)n(h)o(e)20 b(s)q(econ)o(d)f(a)g(m)n(ul)o(t)o
  850. (iply-wit)n(h-carry)e(gen)o(era)o(t)o(or)k(for)e(16-bit)f(in)o(t)o
  851. (egers.)34 b(Wit)n(h)19 b(addit)o(ion)f(of)32 2109 y(t)n(h)o(e)i(t)o(w)
  852. o(o,)f(mo)q(d)o(ulo)f(2)377 2094 y Ff(32)411 2109 y Fj(,)j(t)n(h)o(e)f
  853. (re)q(sul)o(t)o(in)o(g)g(gen)o(era)o(t)o(or,)i(calle)q(d)d(COMBO,)h(h)o
  854. (as)f(p)q(er)q(io)q(d)g Fg(>)h Fj(2)1497 2094 y Ff(60)32
  855. 2159 y Fj(an)o(d)15 b(s)q(eems)h(t)o(o)g(pass)g(all)f(t)o(e)q(st)o(s.)
  856. 26 b(Th)o(e)16 b Fg(x)p Fj('s)f(t)n(h)o(ems)q(elv)o(e)q(s)h(pass)h
  857. (almost)d(all)g(t)o(e)q(st)o(s)k(except)f(t)n(h)o(os)q(e)32
  858. 2209 y(d)o(ep)q(en)o(d)o(en)o(t)d(on)f(t)n(h)o(e)h(r)q(igh)o(t)o(most)d
  859. (bit,)h(whic)o(h)h(will)e(alw)o(ays)i(b)q(e)g(1.)k(Th)o(e)c
  860. Fg(y)q Fj('s)h(are)f(an)g(easy)h(w)o(ay)e(t)o(o)32 2258
  861. y(m)o(ak)o(e)i(t)n(h)o(e)i(r)q(igh)o(t)o(most)e(16)h(bit)o(s)h(as)g(go)
  862. q(o)q(d)f(as)h(t)n(h)o(e)g(left.)23 b(COMBO)16 b(i)q(s)f(eas)q(ily)h
  863. (implem)n(en)o(t)o(e)q(d)d(in)32 2308 y(F)m(ortran)i(or)g(C.)g(In)h(C,)
  864. f(t)n(h)o(e)h Fg(y)q Fj('s)g(are)g(t)n(h)o(e)h(r)q(igh)o(t)d(h)o(alf)h
  865. (of)g(an)g(in)o(t)o(eger)h Fe(w)f Fj(gen)o(era)o(t)o(e)q(d)i(recurs)q
  866. (iv)o(ely)32 2358 y(b)o(y)c Fe(w=30903*(w&65535)+()o(w>>16)o();)905
  867. 2742 y Fj(3)p eop
  868. %%Page: 4 4
  869. 4 3 bop -60 -41 a Fd(Ext)o(en)o(d)o(e)q(d)14 b(Con)o(gruen)o(t)o(ial)e
  870. (Gen)o(era)o(t)o(ors)32 33 y Fj(Ordin)o(ary)j(con)o(gruen)o(t)o(ial)g
  871. (gen)o(era)o(t)o(ors)i(mo)q(d)o(ulo)c(a)j(pr)q(im)o(e)d(h)o(a)o(v)o(e)i
  872. (t)o(o)q(o)h(sh)o(ort)g(a)f(p)q(er)q(io)q(d)g(an)o(d)g(are)32
  873. 83 y(a)i(n)n(ui)q(sance)g(t)o(o)h(implem)n(en)o(t.)25
  874. b(Th)o(ey)18 b(do)f(b)q(e)o(h)o(a)o(v)o(e)g(v)o(ery)g(w)o(ell)g(on)g
  875. (all)f(t)o(e)q(st)o(s.)30 b(As)18 b(lon)o(g)e(as)i(on)o(e)32
  876. 133 y(m)n(ust)13 b(go)g(t)o(o)g(dou)n(ble)g(preci)q(s)q(ion)g(t)o(o)h
  877. (implem)n(en)o(t)d(ar)q(it)n(hm)o(et)o(ic)h(mo)q(d)o(ulo)f(a)i(pr)q(im)
  878. o(e,)f(on)o(e)h(migh)o(t)e(as)32 183 y(w)o(ell)f(get)i(t)n(h)o(e)h(m)n
  879. (u)o(c)o(h)d(lon)o(ger)i(p)q(er)q(io)q(d)g(b)o(y)f(goin)o(g)g(t)o(o)h
  880. (an)f(ext)o(en)o(d)o(e)q(d)i(con)o(gruen)o(t)o(ial)e(gen)o(era)o(t)o
  881. (or.)19 b(F)m(or)32 232 y(t)n(h)o(em,)14 b(t)n(h)o(e)i(recurs)q(ion)g
  882. (i)q(s)e(a)h(lin)o(ear)g(com)n(bin)o(a)o(t)o(ion)d(mo)q(d)o(ulo)h(a)i
  883. (pr)q(im)o(e)f Fg(p)p Fj(.)21 b(Wit)n(h)15 b(pro)o(p)q(er)g(c)o(h)o
  884. (oice)32 282 y(of)g(t)n(h)o(e)i Fg(k)g Fj(co)q(e16cien)o(t)o(s,)g(t)n
  885. (h)o(e)g(p)q(er)q(io)q(d)f(i)q(s)f Fg(p)682 267 y Fc(k)713
  886. 282 y Fa(00)c Fj(1.)25 b(Example)q(s)14 b(f)q(rom)g(t)n(h)o(e)j
  887. Fe(makewhat)e Fj(program:)140 332 y Fg(x)164 338 y Fc(n)198
  888. 332 y Fj(=)d(1176)p Fg(x)350 338 y Fc(n)p Fb(00)p Ff(1)423
  889. 332 y Fj(+)d(1476)p Fg(x)572 338 y Fc(n)p Fb(00)p Ff(2)645
  890. 332 y Fj(+)h(1776)p Fg(x)795 338 y Fc(n)p Fb(00)p Ff(3)870
  891. 332 y Fj(mo)q(d)g(2)982 317 y Ff(32)1019 332 y Fa(00)r
  892. Fj(5)140 382 y Fg(x)164 388 y Fc(n)198 382 y Fj(=)i(2)263
  893. 367 y Ff(13)298 382 y Fj([)p Fg(x)334 388 y Fc(n)p Fb(00)p
  894. Ff(1)407 382 y Fj(+)e Fg(x)473 388 y Fc(n)p Fb(00)p
  895. Ff(2)547 382 y Fj(+)f Fg(x)612 388 y Fc(n)p Fb(00)p
  896. Ff(3)677 382 y Fj(])i(mo)q(d)f(2)812 367 y Ff(32)849
  897. 382 y Fa(00)r Fj(5)140 432 y Fg(x)164 438 y Fc(n)198
  898. 432 y Fj(=)i(1995)p Fg(x)350 438 y Fc(n)p Fb(00)p Ff(1)423
  899. 432 y Fj(+)d(1998)p Fg(x)572 438 y Fc(n)p Fb(00)p Ff(2)645
  900. 432 y Fj(+)h(2001)p Fg(x)795 438 y Fc(n)p Fb(00)p Ff(3)870
  901. 432 y Fj(mo)q(d)g(2)982 417 y Ff(35)1019 432 y Fa(00)r
  902. Fj(849)140 481 y Fg(x)164 487 y Fc(n)198 481 y Fj(=)i(2)263
  903. 466 y Ff(19)298 481 y Fj([)p Fg(x)334 487 y Fc(n)p Fb(00)p
  904. Ff(1)407 481 y Fj(+)e Fg(x)473 487 y Fc(n)p Fb(00)p
  905. Ff(2)547 481 y Fj(+)f Fg(x)612 487 y Fc(n)p Fb(00)p
  906. Ff(3)677 481 y Fj(])i(mo)q(d)f(2)812 466 y Ff(35)849
  907. 481 y Fa(00)r Fj(1629)32 531 y(All)i(pass)i(t)n(h)o(e)g(t)o(e)q(st)o
  908. (s)i(in)c(DIEHARD,)h(bu)o(t)h(t)n(h)o(e)g(s)q(econ)o(d)g(an)o(d)f
  909. (fourt)n(h)g(can)h(b)q(e)f(implem)n(en)o(t)o(e)q(d)e((as)32
  910. 581 y(dou)n(ble)g(preci)q(s)q(ion)h(reals))h(t)o(o)f(a)o(v)o(oid)f(m)n
  911. (ul)o(t)o(ipli)o(ca)o(t)o(ion.)j(Th)o(e)e(s)q(econ)o(d)h(can)f(also)g
  912. (b)q(e)g(implem)n(en)o(t)o(e)q(d)32 631 y(in)i(32-bit)f(in)o(t)o(eger)i
  913. (ar)q(it)n(hm)o(et)o(ic.)j(A)c(DOS)h(ass)q(em)n(bler)f(v)o(ers)q(ion)g
  914. (t)o(ak)o(e)q(s)h(170)f(n)o(anos)q(econ)o(ds)i(on)e(a)32
  915. 681 y(P)o(en)o(t)o(iu)o(m)d(120,)h(a)h(C)h(v)o(ers)q(ion,)e(400.)17
  916. b(It)d(i)q(s)e(on)o(e)i(of)e(t)n(h)o(e)i(f)q(ast)o(e)q(st)g(pass-all-t)
  917. o(e)q(st)o(s)h(gen)o(era)o(t)o(ors)g(wit)n(h)32 731 y(so)f(lon)o(g)g(a)
  918. g(p)q(er)q(io)q(d,)f Fa(31)g Fj(2)415 715 y Ff(96)450
  919. 731 y Fj(.)19 b(I)14 b(h)o(ad)g(mi)q(sgivin)o(gs)d(wh)o(en)k(d)o(ev)o
  920. (elo)o(pin)o(g)f(it,)g(rem)o(em)n(b)q(er)q(in)o(g)e(t)n(h)o(e)j(us)q(e)
  921. 32 780 y(of)f(m)n(ul)o(t)o(iplier)e(2)289 765 y Ff(16)334
  922. 780 y Fa(00)e Fj(3)k(in)g(RANDU,)g(c)o(h)o(os)q(en)i(t)o(o)f(a)o(v)o
  923. (oid)e(m)n(ul)o(t)o(iplica)o(t)o(io)o(n,)f(wit)n(h)i(p)q(o)q(or)h(re)q
  924. (sul)o(t)o(s.)32 830 y(Bu)o(t)g(in)o(t)o(egers)f(f)q(rom)e(t)n(h)o(e)j
  925. (recurs)q(ion)g Fg(x)637 836 y Fc(n)671 830 y Fj(=)d(2)736
  926. 815 y Ff(13)771 830 y Fj([)p Fg(x)807 836 y Fc(n)p Fb(00)p
  927. Ff(1)881 830 y Fj(+)d Fg(x)946 836 y Fc(n)p Fb(00)p
  928. Ff(2)1020 830 y Fj(+)h Fg(x)1086 836 y Fc(n)p Fb(00)p
  929. Ff(3)1151 830 y Fj(])h(mo)q(d)f(2)1286 815 y Ff(32)1323
  930. 830 y Fa(00)r Fj(5)15 b(s)q(eem)e(t)o(o)32 880 y(pass)k(all)e(t)o(e)q
  931. (st)o(s|so)j(f)q(ar.)24 b(Y)m(ou)15 b(m)o(ay)g(w)o(an)o(t)g(t)o(o)i(d)o
  932. (ev)o(elo)o(p)f(a)g(f)q(ast)g(ass)q(em)n(bler)g(v)o(ers)q(ion)g(y)o
  933. (ours)q(elf)32 930 y(an)o(d)d(t)o(e)q(st)i(it.)-60 1038
  934. y Fh(4)66 b(Ho)n(w)21 b(t)m(h)n(e)h(Ran)n(dom)g(Bit)f(File)r(s)g(W)-6
  935. b(ere)22 b(F)-6 b(orm)n(e)r(d)-60 1129 y Fj(Th)o(e)20
  936. b(ran)o(dom)f(bit)g(14le)q(s)i(are)f Fe(bit.01,)h(bit.02,)f(...)43
  937. b(,)22 b(bit.60)p Fj(,)d(eac)o(h)i(10)f(m)o(ega)o(b)o(yt)o(e)q(s.)35
  938. b(Th)o(ey)20 b(w)o(ere)h(form)o(e)q(d)e(b)o(y)-60 1179
  939. y(com)n(binin)o(g)12 b(t)n(h)o(e)j(32-bit)e(ou)o(t)o(pu)o(t)i(of)f(a)o
  940. (t)g(least)h(t)o(w)o(o)e(of)h(t)n(h)o(e)h(a)o(b)q(o)o(v)o(e)e(d)o(et)o
  941. (ermini)q(st)o(ic)h(gen)o(era)o(t)o(or)h(wit)n(h)f(32-bit)f(in)o(t)o
  942. (egers)i(form)o(e)q(d)-60 1229 y(b)o(y)g(streams)g(of)g(bit)o(s)h(f)q
  943. (rom)d(on)o(e)i(or)g(more)f(of)h(t)n(h)o(e)g(ph)o(ys)q(ical)f(d)o
  944. (evice)q(s)j(f)q(rom)c(Can)o(ad)o(a,)i(Germ)o(an)o(y)e(or)i(Califor)q
  945. (nia.)20 b(Most)c(of)-60 1278 y(t)n(h)o(e)f(14le)q(s)f(h)o(ad)g(t)n
  946. (h)o(e)g(d)o(et)o(ermini)q(st)o(ic)f(comp)q(on)o(en)o(t)g(m)o(ad)o(e)g
  947. (f)q(rom)f(t)n(h)o(e)j(su)o(m)e(of)g(t)n(h)o(e)i(Mot)n(h)o(er-of-All)e
  948. (an)o(d)h(t)n(h)o(e)g(KISS)h(gen)o(era)o(t)o(ors.)-60
  949. 1328 y(Som)o(e)10 b(of)h(t)n(h)o(e)h(14le)q(s)g(h)o(ad)f(y)o(et)h
  950. (anot)n(h)o(er)g(32-bit)e(in)o(t)o(eger)i(com)n(bin)o(e)q(d,)e(f)q(rom)
  951. f(a)i(rap)h(m)n(us)q(ic)e(CD,)g(or,)i(a)f(few)g(t)o(im)o(e)q(s,)g(f)q
  952. (rom)e(capt)o(ure)-60 1378 y(of)k(t)n(h)o(e)h(screen)h(of)e(a)g(TV)h
  953. (program)e(or)h(t)n(h)o(e)h(bit)f(m)o(ap)f(of)h(a)g(n)o(ak)o(e)q(d)h
  954. (lady)m(.)i(Th)o(e)e(com)n(bin)o(a)o(t)o(ions)d(w)o(ere)k(b)o(y)e
  955. (exclus)q(iv)o(e-or)g(of)g(t)n(h)o(e)-60 1428 y(32-bit)h(w)o(ords.)21
  956. b(Thi)q(s)14 b(m)o(eans)h(bit)o(s)g(in)f(corre)q(sp)q(on)o(din)o(g)j(p)
  957. q(os)q(it)o(ions)d(are)h(add)o(e)q(d)h(mo)q(d)o(ulo)d(2,)h(as)h(d)o(e)q
  958. (scr)q(ib)q(e)q(d)h(a)o(b)q(o)o(v)o(e)e(wit)n(h)h(t)n(h)o(e)-60
  959. 1478 y Fg(x)f Fj(an)o(d)f Fg(y)j Fj(s)q(equence)q(s)g(of)d(bit)o(s.)2
  960. 1527 y(Con14d)o(ence)i(in)e(14n)o(al)g(ran)o(dom)f(bit)h(14le)q
  961. (s)h(st)o(ems)f(f)q(rom)f(t)n(h)o(e)i(suit)o(a)o(bilit)o(y)d(of)i(t)n
  962. (h)o(e)h(d)o(et)o(ermini)q(st)o(ic)f(gen)o(era)o(t)o(ors)i(t)n(h)o(ems)
  963. q(elv)o(e)q(s.)-60 1577 y(If)e(t)n(h)o(ey)i(can)f(pro)o(p)q(erly)g(s)q
  964. (erv)o(e)h(b)o(y)e(t)n(h)o(ems)q(elv)o(e)q(s)h(as)g(source)q(s)i(of)d
  965. (ran)o(domn)o(e)q(ss,)g(t)n(h)o(en)i(p)q(ert)o(urbin)o(g)f(t)n(h)o(em)f
  966. (wit)n(h)h(t)n(h)o(e)h(ou)o(t)o(pu)o(t)g(of)-60 1627
  967. y(ph)o(ys)q(ical)e(d)o(evice)q(s,)j(rap)f(m)n(us)q(ic)e(or)i(TV)f
  968. (screen)j(capt)o(ure)q(s,)f(can)f(only)e(add)i(t)o(o)g(t)n(h)o(e)q(ir)g
  969. (u)o(npre)q(dict)o(a)o(bilit)o(y)m(,)e(not)i(d)o(etract)h(f)q(rom)-60
  970. 1677 y(t)n(h)o(e)q(ir)f(suit)o(a)o(bilit)o(y)d(as)h(a)h(source)h(of)f
  971. (ran)o(domn)o(e)q(ss.)2 1727 y(Th)o(e)j(re)q(sul)o(t)o(in)o(g)g(in)o(t)
  972. o(egers)h(w)o(ere)f(wr)q(it)n(t)o(en)g(t)o(o)g(bin)o(ary)f(14le)q(s,)
  973. h(so)f(t)n(h)o(e)i Fe(bit.??)25 b Fj(14le)q(s)17 b(can)f(b)q(e)h
  974. (view)o(e)q(d)f(as)h(a)f(s)q(equence)j(of)-60 1776 y(bit)o(s,)14
  975. b(or)g(b)o(yt)o(e)q(s)g(or)g(16-)f(or)h(32-bit)f(in)o(t)o(egers,)h(d)o
  976. (ep)q(en)o(din)o(g)h(on)f(inpu)o(t)g(require)q(d)h(for)e(an)h(ap)o
  977. (plica)o(t)o(ion.)-60 1914 y Fh(5)66 b(Su)o(mm)n(ary)21
  978. b(of)i(File)r(s)e(on)g(Thi)q(s)g(CDR)n(OM)-60 2005 y
  979. Fj(In)15 b(t)n(h)o(e)h(bas)q(e)g(direct)o(ory)m(,)g(10)e(m)o(ega)o(b)o
  980. (yt)o(e)g(14le)q(s)i Fe(bit.01,)k(bit.02,)g(...)43
  981. b(,)22 b(bit.60)14 b Fj(as)h(w)o(ell)g(as)g(14le)q(s)h(of)e(a)o(b)q
  982. (ou)o(t)i(10)e(m)o(eg)-60 2054 y(f)q(rom)e(t)n(h)o(e)i(ou)o(t)o(pu)o(t)
  983. h(of)f(t)n(hree)h(ph)o(ys)q(ical)e(d)o(evice)q(s:)19
  984. b Fe(canada.bit,)h(germany.bit,)f(california.bit)p Fj(.)2
  985. 2104 y(Th)o(ere)f(i)q(s)e(a)g(direct)o(ory)h Fe(pscript)e
  986. Fj(con)o(t)o(ainin)o(g)g(t)n(hi)q(s)i(14le,)f Fe(cdrom.ps)p
  987. Fj(,)f(as)h(w)o(ell)g(as)g(14le)q(s)h(d)o(e)q(scr)q(ibin)o(g)h(ran)o
  988. (dom)c(n)n(u)o(m)n(b)q(er)-60 2154 y(gen)o(era)o(t)o(ors)i(()p
  989. Fe(keynote.ps)p Fj(),)11 b(t)o(e)q(st)o(s)16 b(()p
  990. Fe(monkey.ps)p Fj())c(or)i(t)n(h)o(e)h(n)o(ew)f(m)n(ul)o(t)o(iply-wit)
  991. n(h-carry)e(RNG's)h(()p Fe(mwc1.ps)p Fj().)2 2204 y(Th)o(ere)22
  992. b(are)f(t)n(hree)h(direct)o(or)q(ie)q(s,)h Fe(dos,)e(linux)g(and)g
  993. (unix)p Fj(,)g(con)o(t)o(ainin)o(g)e(14le)q(s)i(for)f(ru)o(nnin)o(g)h
  994. (DIEHARD)f(on)h(t)n(h)o(os)q(e)-60 2254 y(part)o(icular)13
  995. b(syst)o(ems.)905 2742 y(4)p eop
  996. %%Trailer
  997. end
  998. userdict /end-hook known{end-hook}if
  999. %%EOF
  1000.