%!PS-Adobe-2.0 %%Creator: dvips(k) 5.991 Copyright 2011 Radical Eye Software %%Title: arXiv:1206.3299v1 [physics.gen-ph] 13 Jun 2012 %%CreationDate: Mon Dec 24 21:53:49 2018 %%Pages: 12 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentPaperSizes: Letter %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -R2 -P pk -z total-cross.dvi -o %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2018.12.24:2153 %%BeginProcSet: texc.pro 0 0 %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B /chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ /cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 {2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ 1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /dir 0 def/dyy{/dir 0 def}B/dyt{/dir 1 def}B/dty{/dir 2 def}B/dtt{/dir 3 def}B/p{dir 2 eq{-90 rotate show 90 rotate}{dir 3 eq{-90 rotate show 90 rotate}{show}ifelse}ifelse}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)(LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse} forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{ BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat {BDot}imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B /M{S p delta add tail}B/b{S p tail}B/c{-4 M}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{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{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 a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: special.pro 0 0 %! 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[/View [/XYZ H.V]/Dest (equation.2.6) cvn /DEST pdfmark end 984 3865 a 22 w Fj(\000)23 b(r)1189 3880 y Fs(\015)1233 3865 y Fj(r)1316 3881 y Fr(\()p Fs(\026)1390 3865 y Fl(\()p Fj(r)1511 3881 y Fs(\027)t Fr(\))1582 3865 y Fk(\036)p Fj(r)1723 3824 y Fs(\015)1767 3865 y Fk(\036)p Fl(\))f(+)1993 3798 y(1)p 1993 3842 49 4 v 1993 3934 a(2)2051 3865 y Fk(g)2098 3880 y Fs(\026\027)2184 3865 y Fj(r)2267 3880 y Fs(\015)2311 3865 y Fj(r)2394 3880 y Fs(\025)2440 3865 y Fl(\()p Fj(r)2561 3824 y Fs(\015)2605 3865 y Fk(\036)p Fj(r)2746 3824 y Fs(\025)2791 3865 y Fk(\036)p Fl(\))p Fk(;)859 b Fl(\(6\))0 4082 y(here)33 b Fk(u)28 b Fl(=)398 4001 y Fi(p)p 498 4001 544 4 v 81 x Fl(1)22 b(+)g Fj(r)750 4097 y Fs(\026)796 4082 y Fk(\036)p Fj(r)937 4053 y Fs(\026)984 4082 y Fk(\036)o Fl(.)0 4202 y(One)31 b(can)f(obtain)g(the)g(scalar)g (\014eld)g(equation)g(of)g(motion)f(b)m(y)i(v)-5 b(ariation)28 b(of)i(action)f(\(1\))h(with)g(resp)s(ect)i(to)0 4323 y Fk(\036)p Fl(,)622 4493 y Fj(r)705 4508 y Fs(\026)752 4382 y Fi(\020)821 4425 y Fk(V)22 b Fl(\()p Fk(\036)p Fl(\))p Fj(r)1117 4389 y Fs(\026)1163 4425 y Fk(\036)p 821 4470 400 4 v 993 4561 a(u)1231 4382 y Fi(\021)1312 4493 y Fj(\000)1422 4425 y Fk(dV)f Fl(\()p Fk(\036)p Fl(\))p 1422 4470 263 4 v 1499 4561 a Fk(d\036)1695 4493 y(u)h Fl(+)1880 4425 y(1)p 1880 4470 49 4 v 1880 4561 a(2)1939 4493 y Fk(f)11 b Fl(\()p Fk(\036)p Fl(\))p Fj(r)2215 4508 y Fs(\026)2261 4412 y Fi(\002)2303 4493 y Fj(r)2386 4508 y Fs(\027)2429 4493 y Fk(\036)2487 4412 y Fi(\000)2532 4493 y Fk(\030)2575 4508 y Fr(1)2614 4493 y Fk(g)2665 4451 y Fs(\026\027)2750 4493 y Fk(R)23 b Fl(+)f Fk(\030)2988 4508 y Fr(2)3028 4493 y Fk(R)3103 4451 y Fs(\026\027)3188 4412 y Fi(\001\003)1008 4782 y SDict begin H.S end 1008 4782 a 1008 4782 a SDict begin 14.5 H.A end 1008 4782 a 1008 4782 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.7) cvn /DEST pdfmark end 1008 4782 a 22 w Fj(\000)1139 4715 y Fl(1)p 1139 4759 49 4 v 1139 4850 a(2)1198 4701 y Fi(\002)1239 4782 y Fk(\030)1282 4797 y Fr(1)1322 4782 y Fk(R)q(@)1448 4797 y Fs(\026)1495 4782 y Fk(\036@)1609 4741 y Fs(\026)1656 4782 y Fk(\036)g Fl(+)g Fk(\030)1877 4797 y Fr(2)1916 4782 y Fk(R)1990 4797 y Fs(\026\027)2076 4782 y Fk(@)2132 4741 y Fs(\026)2179 4782 y Fk(\036@)2293 4741 y Fs(\027)2337 4782 y Fk(\036)2395 4701 y Fi(\003)2446 4715 y Fk(d)-16 b(f)11 b Fl(\()p Fk(\036)p Fl(\))p 2446 4759 227 4 v 2505 4850 a Fk(d\036)2711 4782 y Fl(=)27 b(0)p Fk(:)883 b Fl(\(7\))0 5004 y(In)33 b(a)f(spatially-\015at)e(F)-8 b(riedmann-Rob)s(ertson-W)g(alk)m(er)30 b(\(FR)-11 b(W\))33 b(spacetime)f(with)g(the)h(metric,)1166 5218 y SDict begin H.S end 1166 5218 a 1166 5218 a SDict begin 14.5 H.A end 1166 5218 a 1166 5218 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.8) cvn /DEST pdfmark end 1166 5218 a Fk(ds)1263 5177 y Fr(2)1330 5218 y Fl(=)28 b Fj(\000)p Fk(dt)1597 5177 y Fr(2)1659 5218 y Fl(+)22 b Fk(a)1808 5177 y Fr(2)1847 5218 y Fl(\()p Fk(t)p Fl(\)\()p Fk(dr)2094 5177 y Fr(2)2155 5218 y Fl(+)g Fk(r)2300 5177 y Fr(2)2339 5218 y Fk(d)p Fl(\012)2460 5177 y Fr(2)2500 5218 y Fl(\))p Fk(;)p Black 1208 w Fl(\(8\))p Black 0 5431 a(the)33 b(comp)s(onen)m(ts)g(of)f(the)h (Ricci)e(tensor)j Fk(R)1597 5446 y Fs(\026\027)1715 5431 y Fl(and)f(the)g(Ricci)e(scalar)h Fk(R)h Fl(are)g(giv)m(en)g(b)m(y)551 5645 y SDict begin H.S end 551 5645 a 551 5645 a SDict begin 14.5 H.A end 551 5645 a 551 5645 a SDict begin [/View [/XYZ H.V]/Dest (equation.2.9) cvn /DEST pdfmark end 551 5645 a Fk(R)625 5660 y Fr(00)728 5645 y Fl(=)27 b Fj(\000)p Fl(3)957 5564 y Fi(\000)1039 5620 y Fl(_)1003 5645 y Fk(H)j Fl(+)22 b Fk(H)1301 5604 y Fr(2)1340 5564 y Fi(\001)1386 5645 y Fk(;)49 b(R)1536 5660 y Fs(ij)1625 5645 y Fl(=)27 b Fk(a)1779 5604 y Fr(2)1819 5645 y Fl(\()p Fk(t)p Fl(\))1930 5564 y Fi(\000)2012 5620 y Fl(_)1976 5645 y Fk(H)j Fl(+)22 b(3)p Fk(H)2323 5604 y Fr(2)2361 5564 y Fi(\001)2407 5645 y Fk(\016)2450 5660 y Fs(ij)2511 5645 y Fk(;)50 b(R)28 b Fl(=)g(6)2843 5564 y Fi(\000)2924 5620 y Fl(_)2888 5645 y Fk(H)i Fl(+)22 b(2)p Fk(H)3235 5604 y Fr(2)3274 5564 y Fi(\001)3319 5645 y Fk(;)427 b Fl(\(9\))p Black 1924 5894 a(4)p Black eop end end %%Page: 5 5 TeXDict begin HPSdict begin 5 4 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a -8 133 a SDict begin H.S end -8 133 a -8 133 a SDict begin H.R end -8 133 a -8 133 a SDict begin [/View [/XYZ H.V]/Dest (page.5) cvn /DEST pdfmark end -8 133 a Black Black 0 548 a Fl(where)34 b Fk(H)h Fl(=)520 500 y Fr(_)-28 b Fs(a)p Fr(\()p Fs(t)p Fr(\))p 512 525 118 4 v 512 582 a Fs(a)p Fr(\()p Fs(t)p Fr(\))672 548 y Fl(is)32 b(the)h(Hubble)g (parameter)f(and)g Fk(a)p Fl(\()p Fk(t)p Fl(\))h(is)f(the)h(scale)g (factor.)43 b(The)33 b(equation)g(\(7\))f(for)g(a)0 682 y(homogeneous)h(time-dep)s(ending)e Fk(\036)h Fl(in)g(FR)-11 b(W)32 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3543 368 4 v 513 3563 a Fi(q)p 613 3563 268 4 v 127 x Fl(1)h Fj(\000)807 3663 y Fl(_)784 3690 y Fk(\036)842 3661 y Fr(2)904 3566 y Fl(+)13 b(9)p Fk(\030)1085 3581 y Fr(1)1124 3566 y Fk(H)1213 3525 y Fr(2)1252 3566 y Fk(f)e Fl(\()p Fk(\036)p Fl(\))1468 3540 y(_)1445 3566 y Fk(\036)1503 3525 y Fr(2)1555 3566 y Fl(+)i(3\(2)p Fk(\030)1823 3581 y Fr(1)1875 3566 y Fl(+)g Fk(\030)2007 3581 y Fr(2)2046 3566 y Fl(\))2084 3455 y Fi(\020)2180 3541 y Fl(_)2144 3566 y Fk(H)7 b(f)k Fl(\()p Fk(\036)p Fl(\))2448 3540 y(_)2425 3566 y Fk(\036)2483 3525 y Fr(2)2535 3566 y Fj(\000)i Fk(H)8 b(f)j Fl(\()p Fk(\036)p Fl(\))2930 3540 y(_)2907 3566 y Fk(\036)2977 3540 y Fl(\177)2964 3566 y Fk(\036)i Fj(\000)3136 3498 y Fl(1)p 3136 3543 49 4 v 3136 3634 a(2)3195 3566 y Fk(H)3301 3498 y(d)-16 b(f)p 3293 3543 109 4 v 3293 3634 a(d\036)3435 3540 y Fl(_)3412 3566 y Fk(\036)3470 3525 y Fr(3)3509 3455 y Fi(\021)3568 3395 y(!)3647 3566 y Fk(:)50 b Fl(\(13\))0 3915 y(Next,)28 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begin HPSdict begin 6 5 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end 0 0 a 324 133 a SDict begin H.S end 324 133 a 324 133 a SDict begin H.R end 324 133 a 324 133 a SDict begin [/View [/XYZ H.V]/Dest (page.6) cvn /DEST pdfmark end 324 133 a Black Black 50 595 a SDict begin H.S end 50 595 a 50 595 a SDict begin 14.5 H.A end 50 595 a 50 595 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.14) cvn /DEST pdfmark end 50 595 a 11 w Fj(\000)11 b Fl(\(2)p Fk(\030)279 610 y Fr(1)329 595 y Fj(\000)g Fk(\030)460 610 y Fr(2)499 595 y Fl(\))p Fk(H)626 484 y Fi(\020)685 595 y Fk(f)g Fl(\()p Fk(\036)p Fl(\))901 568 y(_)878 595 y Fk(\036)948 568 y Fl(\177)935 595 y Fk(\036)g Fl(+)1100 527 y(1)p 1100 572 49 4 v 1100 663 a(2)1177 527 y Fk(d)-16 b(f)p 1169 572 109 4 v 1169 663 a(d\036)1311 568 y Fl(_)1287 595 y Fk(\036)1345 554 y Fr(3)1385 484 y Fi(\021)1455 595 y Fl(+)11 b(\(2)p Fk(\030)1672 610 y Fr(1)1721 595 y Fl(+)g Fk(\030)1851 610 y Fr(2)1890 595 y Fl(\))1928 484 y Fi(\020)1988 595 y Fk(f)g Fl(\()p Fk(\036)p Fl(\))2194 568 y(\177)2181 595 y Fk(\036)2239 554 y Fr(2)2288 595 y Fl(+)g Fk(f)g Fl(\()p Fk(\036)p Fl(\))2590 568 y(_)2568 595 y Fk(\036)2625 510 y Fl(...)2636 595 y Fk(\036)23 b Fl(+)2814 527 y(5)p 2814 572 49 4 v 2814 663 a(2)2890 527 y Fk(d)-16 b(f)p 2882 572 109 4 v 2882 663 a(d\036)3024 568 y Fl(_)3001 595 y Fk(\036)3059 554 y Fr(2)3110 568 y Fl(\177)3098 595 y Fk(\036)10 b Fl(+)3263 527 y(1)p 3263 572 49 4 v 3263 663 a(2)3332 527 y Fk(d)3383 491 y Fr(2)3422 527 y Fk(f)p 3332 572 149 4 v 3332 663 a(d\036)3441 634 y Fr(2)3514 568 y Fl(_)3491 595 y Fk(\036)3549 554 y Fr(4)3588 484 y Fi(\021)3647 595 y Fk(:)50 b Fl(\(14\))0 816 y(Since)44 b Fk(P)f Fl(+)29 b Fk(\032)47 b Fl(=)f(\(1)29 b(+)h Fk(!)t Fl(\))p Fk(\032)p Fl(,)46 b(one)e(needs)h Fk(\032)30 b Fl(+)f Fk(P)60 b Fl(=)46 b(0)d(when)i Fk(!)i Fl(go)s(es)d(to)f Fj(\000)p Fl(1.)76 b(Then)45 b(to)e(c)m(hec)m(k)j(the)0 936 y(p)s(ossibilit)m(y)26 b(of)h(the)h(crossing)g(of)f(the)h(phan)m (tom)g(divide)f(line)f Fk(!)31 b Fl(=)d Fj(\000)p Fl(1,)h(w)m(e)g(m)m (ust)e(explore)h(for)g(conditions)0 1057 y(that)234 1018 y Fs(d)p 221 1034 62 4 v 221 1091 a(dt)293 1057 y Fl(\()p Fk(\032)22 b Fl(+)g Fk(P)14 b Fl(\))28 b Fj(6)p Fl(=)f(0)32 b(when)i Fk(!)i Fl(crosses)e(o)m(v)m(er)g Fj(\000)p Fl(1.)0 1177 y(Using)e(equation)h(\(14\))e(w)m(e)j(deriv)m(e)f(the)g(follo)m (wing)d(equation,)407 1395 y Fk(d)p 389 1439 86 4 v 389 1530 a(dt)485 1462 y Fl(\()p Fk(\032)23 b Fl(+)f Fk(P)14 b Fl(\))27 b(=)978 1395 y Fk(V)22 b Fl(\()p Fk(\036)p Fl(\))1214 1368 y(_)1191 1395 y Fk(\036)1249 1359 y Fr(3)p 949 1439 368 4 v 949 1459 a Fi(q)p 1049 1459 268 4 v 127 x Fl(1)g Fj(\000)1243 1560 y Fl(_)1219 1586 y Fk(\036)1277 1557 y Fr(2)1349 1462 y Fl(+)1457 1395 y(2)p Fk(V)f Fl(\()p Fk(\036)p Fl(\))1741 1368 y(_)1718 1395 y Fk(\036)1788 1368 y Fl(\177)1775 1395 y Fk(\036)p 1457 1439 377 4 v 1462 1459 a Fi(q)p 1561 1459 268 4 v 1561 1586 a Fl(1)h Fj(\000)1755 1560 y Fl(_)1731 1586 y Fk(\036)1789 1557 y Fr(2)1865 1462 y Fl(+)1996 1395 y Fk(V)g Fl(\()p Fk(\036)p Fl(\))2232 1368 y(_)2209 1395 y Fk(\036)2267 1359 y Fr(3)2318 1368 y Fl(\177)2306 1395 y Fk(\036)p 1973 1439 414 4 v 1973 1488 a Fi(\000)2019 1569 y Fl(1)g Fj(\000)2213 1543 y Fl(_)2189 1569 y Fk(\036)2247 1540 y Fr(2)2286 1488 y Fi(\001)2342 1483 y Fh(3)p 2342 1495 31 3 v 2342 1536 a(2)2419 1462 y Fl(+)g(3\(4)p Fk(\030)2696 1477 y Fr(1)2756 1462 y Fl(+)g Fk(\030)2897 1477 y Fr(2)2936 1462 y Fl(\))2974 1352 y Fi(\020)3034 1462 y Fl(2)p Fk(H)3172 1421 y Fr(2)3211 1462 y Fk(f)11 b Fl(\()p Fk(\036)p Fl(\))3426 1436 y(_)3404 1462 y Fk(\036)3473 1436 y Fl(\177)3461 1462 y Fk(\036)350 1871 y Fl(+)p Fk(H)515 1830 y Fr(2)571 1804 y Fk(d)-16 b(f)p 563 1848 109 4 v 563 1940 a(d\036)705 1845 y Fl(_)682 1871 y Fk(\036)740 1830 y Fr(3)801 1871 y Fl(+)22 b(2)p Fk(H)1072 1846 y Fl(_)1037 1871 y Fk(H)7 b(f)k Fl(\()p Fk(\036)p Fl(\))1341 1845 y(_)1318 1871 y Fk(\036)1376 1830 y Fr(2)1414 1761 y Fi(\021)1496 1871 y Fl(+)22 b(\(8)p Fk(\030)1724 1886 y Fr(1)1785 1871 y Fl(+)g(5)p Fk(\030)1975 1886 y Fr(2)2014 1871 y Fl(\))2052 1761 y Fi(\020)2111 1871 y Fl(2)2196 1846 y(_)2160 1871 y Fk(H)7 b(f)k Fl(\()p Fk(\036)p Fl(\))2464 1845 y(_)2441 1871 y Fk(\036)2511 1845 y Fl(\177)2499 1871 y Fk(\036)21 b Fl(+)2713 1846 y(_)2676 1871 y Fk(H)2783 1804 y(d)-16 b(f)p 2775 1848 V 2775 1940 a(d\036)2917 1845 y Fl(_)2893 1871 y Fk(\036)2951 1830 y Fr(3)3013 1871 y Fl(+)3136 1846 y(\177)3111 1871 y Fk(H)7 b(f)k Fl(\()p Fk(\036)p Fl(\))3415 1845 y(_)3392 1871 y Fk(\036)3450 1830 y Fr(2)3489 1761 y Fi(\021)268 2164 y Fj(\000)p Fl(\(2)p Fk(\030)475 2179 y Fr(1)536 2164 y Fj(\000)23 b Fk(\030)679 2179 y Fr(2)718 2164 y Fl(\))756 2054 y Fi(\020)851 2139 y Fl(_)815 2164 y Fk(H)8 b(f)j Fl(\()p Fk(\036)p Fl(\))1119 2138 y(_)1097 2164 y Fk(\036)1166 2138 y Fl(\177)1154 2164 y Fk(\036)22 b Fl(+)g Fk(H)8 b(f)j Fl(\()p Fk(\036)p Fl(\))1614 2084 y Fi(\000)1682 2138 y Fl(_)1658 2164 y Fk(\036)1716 2079 y Fl(...)1728 2164 y Fk(\036)33 b Fl(+)1930 2138 y(\177)1917 2164 y Fk(\036)1975 2123 y Fr(2)2014 2084 y Fi(\001)2082 2164 y Fl(+)2190 2097 y(1)p 2190 2141 49 4 v 2190 2233 a(2)2267 2097 y Fk(d)-16 b(f)p 2259 2141 109 4 v 2259 2233 a(d\036)2401 2138 y Fl(_)2377 2164 y Fk(\036)2435 2123 y Fr(2)2474 2084 y Fi(\000)2520 2164 y Fl(5)p Fk(H)2670 2138 y Fl(\177)2658 2164 y Fk(\036)21 b Fl(+)2871 2139 y(_)2835 2164 y Fk(H)2947 2138 y Fl(_)2924 2164 y Fk(\036)2982 2084 y Fi(\001)3049 2164 y Fl(+)3157 2097 y(1)p 3157 2141 49 4 v 3157 2233 a(2)3216 2164 y Fk(H)3315 2097 y(d)3366 2061 y Fr(2)3405 2097 y Fk(f)p 3315 2141 149 4 v 3315 2233 a(d\036)3424 2204 y Fr(2)3497 2138 y Fl(_)3473 2164 y Fk(\036)3531 2123 y Fr(4)3571 2054 y Fi(\021)226 2457 y SDict begin H.S end 226 2457 a 226 2457 a SDict begin 14.5 H.A end 226 2457 a 226 2457 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.15) cvn /DEST pdfmark end 226 2457 a 22 w Fl(+)h(\(2)p Fk(\030)476 2472 y Fr(1)537 2457 y Fl(+)g Fk(\030)678 2472 y Fr(2)717 2457 y Fl(\))755 2347 y Fi(\020)815 2457 y Fk(f)11 b Fl(\()p Fk(\036)p Fl(\))1008 2377 y Fi(\000)1076 2431 y Fl(_)1053 2457 y Fk(\036)1111 2372 y Fl(....)1136 2457 y Fk(\036)47 b Fl(+)22 b(3)1401 2431 y(\177)1388 2457 y Fk(\036)1446 2372 y Fl(...)1457 2457 y Fk(\036)1527 2377 y Fi(\001)1595 2457 y Fl(+)1710 2390 y Fk(d)-16 b(f)p 1703 2434 109 4 v 1703 2526 a(d\036)1845 2431 y Fl(_)1821 2457 y Fk(\036)1879 2377 y Fi(\000)1924 2457 y Fl(6)1986 2431 y(\177)1973 2457 y Fk(\036)2031 2416 y Fr(2)2093 2457 y Fl(+)2201 2390 y(7)p 2201 2434 49 4 v 2201 2526 a(2)2283 2431 y(_)2259 2457 y Fk(\036)2317 2372 y Fl(...)2329 2457 y Fk(\036)2398 2377 y Fi(\001)2466 2457 y Fl(+)2574 2390 y(9)p 2574 2434 V 2574 2526 a(2)2643 2390 y Fk(d)2694 2354 y Fr(2)2733 2390 y Fk(f)p 2643 2434 149 4 v 2643 2526 a(d\036)2752 2497 y Fr(2)2825 2431 y Fl(_)2802 2457 y Fk(\036)2860 2416 y Fr(3)2911 2431 y Fl(\177)2899 2457 y Fk(\036)22 b Fl(+)3087 2390 y(1)p 3087 2434 49 4 v 3087 2526 a(2)3155 2390 y Fk(d)3206 2354 y Fr(3)3245 2390 y Fk(f)p 3155 2434 149 4 v 3155 2526 a(d\036)3264 2497 y Fr(3)3338 2431 y Fl(_)3314 2457 y Fk(\036)3372 2416 y Fr(5)3411 2347 y Fi(\021)3471 2457 y Fk(:)226 b Fl(\(15\))0 2679 y(No)m(w,)33 b(w)m(e)g(men)m(tion)e(the)i (follo)m(wing)d(p)s(oin)m(t:)42 b(if)31 b(w)m(e)i(consider)g(the)f (restriction)g(\(2\))f(then)i(one)g(of)e(the)i(p)s(os-)0 2799 y(sibilities)e(to)i(ha)m(v)m(e)i Fk(\032)23 b Fl(+)g Fk(P)43 b Fl(=)29 b(0)k(and)1407 2760 y Fs(d)p 1394 2776 62 4 v 1394 2833 a(dt)1466 2799 y Fl(\()p Fk(\032)23 b Fl(+)g Fk(P)14 b Fl(\))29 b Fj(6)p Fl(=)g(0)k(is)2130 2773 y(_)2107 2799 y Fk(\036)c Fl(=)g(0)34 b([39].)46 b(But)34 b(in)f(the)h(case)g(of)g(our)f(in)m(terest)0 2934 y(\(2)p Fk(\030)130 2949 y Fr(1)180 2934 y Fl(+)11 b Fk(\030)310 2949 y Fr(2)376 2934 y Fj(6)p Fl(=)28 b(0\),)g(the)f (condition)1230 2908 y(_)1207 2934 y Fk(\036)g Fl(=)h(0)e(leads)h(to)g Fk(\032)11 b Fl(+)g Fk(P)41 b Fl(=)28 b(0)e(and)2462 2895 y Fs(d)p 2450 2911 V 2450 2969 a(dt)2521 2934 y Fl(\()p Fk(\032)11 b Fl(+)g Fk(P)j Fl(\))27 b(=)h(0)f(i.e.)41 b(the)27 b(imp)s(ossibilit)m(y)0 3055 y(for)37 b(ha)m(ving)g Fk(!)i Fl(=)d Fj(\000)p Fl(1)i(crossing.)58 b(So,)38 b(in)f(order)g(to)h(ha)m(v)m(e)g(crossing)g(of)f(the)g(phan)m(tom)g (divide)g(the)h(only)0 3175 y(p)s(ossibilit)m(y)30 b(is)j(as)f(follo)m (ws,)374 3452 y(_)351 3478 y Fk(\036)409 3437 y Fr(2)448 3308 y Fi( )615 3411 y Fk(V)21 b Fl(\()p Fk(\036)p Fl(\))p 537 3455 368 4 v 537 3475 a Fi(q)p 637 3475 268 4 v 127 x Fl(1)h Fj(\000)831 3575 y Fl(_)807 3602 y Fk(\036)865 3573 y Fr(2)936 3478 y Fl(+)g(3\(4)p Fk(\030)1213 3493 y Fr(1)1274 3478 y Fl(+)g Fk(\030)1415 3493 y Fr(2)1454 3478 y Fl(\))p Fk(H)1581 3437 y Fr(2)1620 3478 y Fk(f)11 b Fl(\()p Fk(\036)p Fl(\))22 b(+)g(\(8)p Fk(\030)2063 3493 y Fr(1)2123 3478 y Fl(+)g(5)p Fk(\030)2313 3493 y Fr(2)2352 3478 y Fl(\))2426 3453 y(_)2390 3478 y Fk(H)8 b(f)j Fl(\()p Fk(\036)p Fl(\))21 b Fj(\000)2803 3411 y Fl(1)p 2803 3455 49 4 v 2803 3546 a(2)2862 3478 y(\(2)p Fk(\030)2992 3493 y Fr(1)3052 3478 y Fj(\000)i Fk(\030)3195 3493 y Fr(2)3234 3478 y Fl(\))p Fk(H)3378 3411 y(d)-16 b(f)p 3371 3455 109 4 v 3371 3546 a(d\036)3512 3452 y Fl(_)3489 3478 y Fk(\036)50 3884 y SDict begin H.S end 50 3884 a 50 3884 a SDict begin 14.5 H.A end 50 3884 a 50 3884 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.16) cvn /DEST pdfmark end 50 3884 a 20 w Fl(+)176 3816 y(1)p 176 3861 49 4 v 176 3952 a(2)235 3884 y(\(2)p Fk(\030)365 3899 y Fr(1)424 3884 y Fl(+)20 b Fk(\030)563 3899 y Fr(2)602 3884 y Fl(\))640 3773 y Fi(\020)700 3884 y Fl(5)766 3816 y Fk(d)-16 b(f)p 759 3861 109 4 v 759 3952 a(d\036)900 3857 y Fl(_)877 3884 y Fk(\036)935 3843 y Fr(2)987 3857 y Fl(\177)974 3884 y Fk(\036)20 b Fl(+)1159 3816 y Fk(d)1210 3780 y Fr(2)1249 3816 y Fk(f)p 1159 3861 149 4 v 1159 3952 a(d\036)1268 3923 y Fr(2)1341 3857 y Fl(_)1317 3884 y Fk(\036)1375 3843 y Fr(4)1414 3773 y Fi(\021)1474 3713 y(!)1581 3884 y Fl(=)27 b(\(2)p Fk(\030)1814 3899 y Fr(1)1873 3884 y Fj(\000)21 b Fk(\030)2014 3899 y Fr(2)2053 3884 y Fl(\))p Fk(H)8 b(f)j Fl(\()p Fk(\036)p Fl(\))2395 3857 y(_)2373 3884 y Fk(\036)2442 3857 y Fl(\177)2430 3884 y Fk(\036)20 b Fj(\000)h Fl(\(2)p Fk(\030)2736 3899 y Fr(1)2795 3884 y Fl(+)f Fk(\030)2934 3899 y Fr(2)2973 3884 y Fl(\))p Fk(f)11 b Fl(\()p Fk(\036)p Fl(\))3204 3803 y Fi(\000)3261 3857 y Fl(\177)3249 3884 y Fk(\036)3307 3843 y Fr(2)3366 3884 y Fl(+)3486 3857 y(_)3463 3884 y Fk(\036)3520 3799 y Fl(...)3532 3884 y Fk(\036)3602 3803 y Fi(\001)3647 3884 y Fk(:)50 b Fl(\(16\))0 4142 y(The)34 b(ab)s(o)m(v)m(e)f(condition)e(simpli\014es)g(the)i(equation)f (\(15\))g(as,)272 4359 y Fk(d)p 254 4404 86 4 v 254 4495 a(dt)350 4427 y Fl(\()p Fk(\032)22 b Fl(+)g Fk(P)14 b Fl(\))27 b(=)843 4359 y Fk(V)21 b Fl(\()p Fk(\036)p Fl(\))1078 4333 y(_)1055 4359 y Fk(\036)1113 4323 y Fr(3)p 814 4404 368 4 v 814 4424 a Fi(q)p 913 4424 268 4 v 913 4550 a Fl(1)h Fj(\000)1107 4524 y Fl(_)1084 4550 y Fk(\036)1142 4522 y Fr(2)1191 4316 y Fi(\020)1251 4427 y Fl(1)f(+)1547 4333 y(\177)1534 4359 y Fk(\036)p 1429 4404 V 1429 4508 a Fl(1)h Fj(\000)1623 4482 y Fl(_)1600 4508 y Fk(\036)1658 4479 y Fr(2)1707 4316 y Fi(\021)1789 4427 y Fl(+)g(3\(4)p Fk(\030)2066 4442 y Fr(1)2126 4427 y Fl(+)g Fk(\030)2267 4442 y Fr(2)2306 4427 y Fl(\))p Fk(H)2433 4386 y Fr(2)2490 4359 y Fk(d)-16 b(f)p 2482 4404 109 4 v 2482 4495 a(d\036)2624 4401 y Fl(_)2601 4427 y Fk(\036)2659 4386 y Fr(3)2720 4427 y Fl(+)22 b(\(8)p Fk(\030)2948 4442 y Fr(1)3009 4427 y Fl(+)g(5)p Fk(\030)3199 4442 y Fr(2)3238 4427 y Fl(\))3301 4402 y(\177)3276 4427 y Fk(H)7 b(f)k Fl(\()p Fk(\036)p Fl(\))3580 4401 y(_)3557 4427 y Fk(\036)3615 4386 y Fr(2)232 4846 y Fj(\000)p Fl(\(2)p Fk(\030)439 4861 y Fr(1)500 4846 y Fj(\000)23 b Fk(\030)643 4861 y Fr(2)682 4846 y Fl(\))720 4735 y Fi(\020)779 4846 y Fk(H)8 b(f)j Fl(\()p Fk(\036)p Fl(\))1061 4765 y Fi(\000)1129 4819 y Fl(_)1106 4846 y Fk(\036)1164 4761 y Fl(...)1175 4846 y Fk(\036)34 b Fj(\000)1379 4819 y Fl(\177)1367 4846 y Fk(\036)1425 4805 y Fr(2)1464 4765 y Fi(\001)1532 4846 y Fl(+)1640 4778 y(3)p 1640 4823 49 4 v 1640 4914 a(2)1698 4846 y Fk(H)1805 4778 y(d)-16 b(f)p 1797 4823 109 4 v 1797 4914 a(d\036)1939 4819 y Fl(_)1915 4846 y Fk(\036)1973 4805 y Fr(2)2025 4819 y Fl(\177)2012 4846 y Fk(\036)22 b Fl(+)2200 4778 y(1)p 2200 4823 49 4 v 2200 4914 a(2)2259 4846 y Fk(H)2358 4778 y(d)2409 4742 y Fr(2)2448 4778 y Fk(f)p 2358 4823 149 4 v 2358 4914 a(d\036)2467 4885 y Fr(2)2540 4819 y Fl(_)2516 4846 y Fk(\036)2574 4805 y Fr(4)2614 4735 y Fi(\021)2695 4846 y Fl(+)g(\(2)p Fk(\030)2923 4861 y Fr(1)2984 4846 y Fl(+)g Fk(\030)3125 4861 y Fr(2)3164 4846 y Fl(\))3202 4735 y Fi(\020)3262 4846 y Fk(f)11 b Fl(\()p Fk(\036)p Fl(\))3455 4765 y Fi(\000)3523 4819 y Fl(_)3500 4846 y Fk(\036)3557 4761 y Fl(....)3583 4846 y Fk(\036)714 5152 y SDict begin H.S end 714 5152 a 714 5152 a SDict begin 14.5 H.A end 714 5152 a 714 5152 a SDict begin [/View [/XYZ H.V]/Dest (equation.3.17) cvn /DEST pdfmark end 714 5152 a 22 w Fl(+)847 5126 y(\177)834 5152 y Fk(\036)892 5067 y Fl(...)904 5152 y Fk(\036)34 b Fj(\000)22 b Fl(2)1167 5059 y(\177)1154 5085 y Fk(\036)1212 5049 y Fr(3)p 1154 5129 98 4 v 1197 5207 a Fl(_)1174 5234 y Fk(\036)1261 5072 y Fi(\001)1329 5152 y Fl(+)1445 5085 y Fk(d)-16 b(f)p 1437 5129 109 4 v 1437 5221 a(d\036)1579 5126 y Fl(_)1555 5152 y Fk(\036)1613 5072 y Fi(\000)1671 5126 y Fl(\177)1659 5152 y Fk(\036)1717 5111 y Fr(2)1778 5152 y Fl(+)1886 5085 y(7)p 1886 5129 49 4 v 1886 5221 a(2)1968 5126 y(_)1945 5152 y Fk(\036)2002 5067 y Fl(...)2014 5152 y Fk(\036)2084 5072 y Fi(\001)2152 5152 y Fl(+)2260 5085 y(7)p 2260 5129 V 2260 5221 a(2)2328 5085 y Fk(d)2379 5049 y Fr(2)2418 5085 y Fk(f)p 2328 5129 149 4 v 2328 5221 a(d\036)2437 5192 y Fr(2)2510 5126 y Fl(_)2487 5152 y Fk(\036)2545 5111 y Fr(3)2597 5126 y Fl(\177)2584 5152 y Fk(\036)22 b Fl(+)2772 5085 y(1)p 2772 5129 49 4 v 2772 5221 a(2)2841 5085 y Fk(d)2892 5049 y Fr(3)2931 5085 y Fk(f)p 2841 5129 149 4 v 2841 5221 a(d\036)2950 5192 y Fr(3)3023 5126 y Fl(_)3000 5152 y Fk(\036)3058 5111 y Fr(5)3097 5042 y Fi(\021)3156 5152 y Fk(:)541 b Fl(\(17\))142 5404 y(One)45 b(can)f(see)i(from)e(\(17\))f (that,)48 b(ev)m(en)e(if)1782 5378 y(\177)1769 5404 y Fk(\036)i Fl(=)g(0)d(and)2294 5319 y(...)2306 5404 y Fk(\036)60 b Fl(=)48 b(0,)f(crossing)e Fj(\000)p Fl(1)f(can)h(b)s(e)g (happ)s(en.)0 5525 y(So,)36 b(crossing)f(of)f(the)i(phan)m(tom)f (divide)f(in)g(our)h(mo)s(del)f(can)h(o)s(ccur)g(in)g(the)g(minim)m(um) d(of)j(the)g(tac)m(h)m(y)m(on)0 5645 y(p)s(oten)m(tial)c(where)j(one)f (exp)s(ects)1243 5619 y(_)1220 5645 y Fk(\036)27 b Fj(6)p Fl(=)h(0)k(and)1692 5619 y(\177)1680 5645 y Fk(\036)27 b Fl(=)1869 5560 y(...)1881 5645 y Fk(\036)39 b Fl(=)27 b(0.)p Black 1924 5894 a(6)p Black eop end end %%Page: 7 7 TeXDict begin HPSdict begin 7 6 bop 0 0 a SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop 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Fk(b)f Fl(and)f Fk(n)p Fl(.)p Black 0 2480 a @beginspecial 35 @hscale 35 @vscale 5 @hoffset -270 @voffset @setspecial %%BeginDocument: tc1.eps %!PS-Adobe-3.0 EPSF-3.0 %%BoundingBox: 20 118 575 673 %%Creator: FreeHEP Graphics2D Driver %%Producer: com.maplesoft.mathdoc.view.plot.paint.PlotPSGraphics2D Revision: 12753 %%For: %%Title: %%CreationDate: Wednesday, August 24, 2011 12:04:40 PM IRST %%LanguageLevel: 3 %%EndComments %%BeginProlog 100 dict dup begin % % File: org/freehep/graphicsio.ps/PSProlog.txt % Author: Charles Loomis % % Redefinitions which save some space in the output file. These are also % the same as the PDF operators. /q {gsave} def /Q {grestore} def /n {newpath} def /m {moveto} def /l {lineto} def /c {curveto} def /h {closepath} def /re {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} def /f {fill} def /f* {eofill} def /F {gsave vg&FC fill grestore} def /F* {gsave vg&FC eofill grestore} def /s {closepath stroke} def /S {stroke} def /b {closepath gsave vg&FC fill grestore gsave stroke grestore newpath} def /B {gsave vg&FC fill grestore gsave stroke grestore newpath} def /b* {closepath gsave vg&FC eofill grestore gsave stroke grestore newpath} def /B* {gsave vg&FC eofill grestore gsave stroke grestore newpath} def /g {1 array astore /vg&fcolor exch def} def /G {setgray} def /k {4 array astore /vg&fcolor exch def} def /K {setcmykcolor} def /rg {3 array astore /vg&fcolor exch def} def /RG {setrgbcolor} def % Initialize the fill color. 0 0 0 rg /vg&FC {mark vg&fcolor aload pop counttomark 1 eq {G} if counttomark 3 eq {RG} if counttomark 4 eq {K} if cleartomark } def /vg&DFC {/vg&fcolor exch def} def /vg&C {mark exch aload pop counttomark 1 eq {G} if counttomark 3 eq {RG} if counttomark 4 eq {K} if cleartomark } def /w {setlinewidth} def /j {setlinejoin} def /J {setlinecap} def /M {setmiterlimit} def /d {setdash} def /i {setflat} def /W {clip} def /W* {eoclip} def % Setup the default graphics state. % (black; 1 pt. linewidth; miter join; butt-ends; solid) /defaultGraphicsState {0 g 1 w 0 j 0 J [] 0 d} def % Emulation of the rectangle operators for PostScript implementations % which do not implement all Level 2 features. This is an INCOMPLETE % emulation; only the "x y width height rect..." form is emulated. /*rf {gsave newpath re fill grestore} def /*rs {gsave newpath re stroke grestore} def /*rc {newpath re clip} def /rf /rectfill where {pop /rectfill}{/*rf} ifelse load def /rs /rectstroke where {pop /rectstroke}{/*rs} ifelse load def /rc /rectclip where {pop /rectclip}{/*rc} ifelse load def % Emulation of the selectfont operator. This includes a 20% increase in % the fontsize which is necessary to get sizes similar to the Java fonts. /*sf {exch findfont exch dup type /arraytype eq {makefont}{scalefont} ifelse setfont} bind def /sf /selectfont where {pop {1.2 mul selectfont}}{{1.2 mul *sf}} ifelse def % Special version of stroke which allows the dash pattern to continue % across path segments. (This may be needed for PostScript although % modern printers seem to do this correctly.) /vg&stroke { currentdash pop length 0 eq {stroke} { currentdash /vg&doffset exch def pop flattenpath {m vg&resetdash} {2 copy currentpoint 3 -1 roll sub dup mul 3 1 roll sub dup mul add sqrt 3 1 roll l currentdash 3 -1 roll add setdash} {} {h vg&resetdash} pathforall stroke vg&resetdash } ifelse } def /vg&resetdash {currentdash pop vg&doffset setdash} def % Initialize variables for safety. /delta 0 def /xv 0 def /yv 0 def /width 0 def /height 0 def % Initialize to portrait INTERNATIONAL (Letter-height, A4-width) page. /pw 595 def /ph 791 def /po true def /ftp false def % Initialize margins to 20 points. /ml 20 def /mr 20 def /mt 20 def /mb 20 def % Temporary matrices. /smatrix 0 def /nmatrix 0 def % set page size (usage: <page width><page height> setpagesize) /setpagesize {/ph exch def /pw exch def} def % set page orientation (usage: portrait or landscape) /portrait {/po true def} def /landscape {/po false def} def % force natural size for image (usage: naturalsize) /naturalsize {/ftp false def} def % resize image to fill page (usage: fittopage) /fittopage {/ftp true def} def % set margins of the page (usage: <left><bottom><top><right> setmargins) /setmargins {/mr exch def /mt exch def /mb exch def /ml exch def} def % set the graphic's size (usage: <width><height> setsize) /setsize {/gh exch def /gw exch def} def % set the graphic's origin (usage: <x0><y0> setorigin) /setorigin {/gy exch def /gx exch def} def % calculate image center /imagecenter {pw ml sub mr sub 2 div ml add ph mt sub mb sub 2 div mb add} def % calculate the necessary scaling /imagescale {po {gw}{gh} ifelse pw ml sub mr sub div po {gh}{gw} ifelse ph mt sub mb sub div 2 copy lt {exch} if pop ftp not {1 2 copy lt {exch} if pop} if 1 exch div /sfactor exch def /gw gw sfactor mul def /gh gh sfactor mul def} def % calculate image origin /imageorigin {pw ml sub mr sub 2 div ml add po {gw}{gh} ifelse 2 div sub ph mt sub mb sub 2 div mb add po {gh}{gw} ifelse 2 div po {add}{sub} ifelse} def % calculate the clipping origin /cliporigin {pw ml sub mr sub 2 div ml add po {gw}{gh} ifelse 2 div sub floor ph mt sub mb sub 2 div mb add po {gh}{gw} ifelse 2 div sub floor} def % Set the clipping region to the bounding box. /cliptobounds {cliporigin po {gw}{gh} ifelse 1 add po {gh}{gw} ifelse 1 add rc} def % set the base transformation matrix (usage: setbasematrix) /setbasematrix {imageorigin translate po {0}{90} ifelse rotate sfactor sfactor neg scale /defaultmatrix matrix currentmatrix def} def % The lower-right bias in drawing 1 pt. wide lines. /bias {q 0.5 0.5 translate} def /unbias {Q} def % Draw a line. (x0 y0 x1 y1 line) /L {bias n m l S unbias} def % Polyline primitive. /polyline {n m 1 exch 1 exch {pop currentfile token pop currentfile token pop l} for } def % Draw a polyline (n x0 y0 OPL x1 y1 x2 y2 ... ... xn yn) /OPL {bias polyline S unbias} def % Draw a closed polyline (n x0 y0 CPL x1 y1 x2 y2 ... ... xn yn) /CPL {bias polyline s unbias} def % Draw a filled polyline (n x0 y0 FPL x1 y1 x2 y2 ... ... xn yn) /FPL {polyline h f*} def % Draw an oval. (x y w h OVL) /OVL {matrix currentmatrix /smatrix exch def /height exch def /width exch def /yv exch def /xv exch def width 2 div xv add height 2 div yv add translate width currentlinewidth sub 2 div height currentlinewidth sub 2 div neg scale n 0 0 1 5 -2 roll arc smatrix setmatrix S} def % Draw a filled oval. (x y w h FOVL) /FOVL {matrix currentmatrix /smatrix exch def /height exch def /width exch def /yv exch def /xv exch def width 2 div xv add height 2 div yv add translate width 2 div height 2 div neg scale n 0 0 m 0 0 1 5 -2 roll arc h smatrix setmatrix f} def % Draw a rounded rectangle. (x y w h arcwidth archeight RREC) /RREC {matrix currentmatrix /smatrix exch def 2 div /ah exch def 2 div /aw exch def /height exch def /width exch def /yv exch def /xv exch def aw ah scale matrix currentmatrix /nmatrix exch def smatrix setmatrix n xv width add aw sub yv m nmatrix setmatrix currentpoint exch 1 add exch currentpoint 1 add exch 1 add exch 1 arct smatrix setmatrix xv width add yv height add ah sub l nmatrix setmatrix currentpoint 1 add currentpoint exch 1 sub exch 1 add 1 arct smatrix setmatrix xv aw add yv height add l nmatrix setmatrix currentpoint exch 1 sub exch currentpoint exch 1 sub exch 1 sub 1 arct smatrix setmatrix xv yv ah add l nmatrix setmatrix currentpoint 1 sub currentpoint exch 1 add exch 1 sub 1 arct smatrix setmatrix s} def % Draw a filled rounded rectangle. (x y w h arcwidth archeight FRREC) /FRREC{matrix currentmatrix /smatrix exch def 2 div /ah exch def 2 div /aw exch def /height exch def /width exch def /yv exch def /xv exch def aw ah scale matrix currentmatrix /nmatrix exch def smatrix setmatrix n xv width add aw sub yv m nmatrix setmatrix currentpoint exch 1 add exch currentpoint 1 add exch 1 add exch 1 arct smatrix setmatrix xv width add yv height add ah sub l nmatrix setmatrix currentpoint 1 add currentpoint exch 1 sub exch 1 add 1 arct smatrix setmatrix xv aw add yv height add l nmatrix setmatrix currentpoint exch 1 sub exch currentpoint exch 1 sub exch 1 sub 1 arct smatrix setmatrix xv yv ah add l nmatrix setmatrix currentpoint 1 sub currentpoint exch 1 add exch 1 sub 1 arct smatrix setmatrix h f} def % Draw a string. (string x y STR) /STR {q m 1 -1 scale recshow Q} def % Define basic plot symbols. /xys {/siz exch def /yv exch def /xv exch def} def /hline {xys n xv siz 2. div sub yv m siz 0 rlineto S} def /vline {xys n xv yv siz 2. div sub m 0 siz rlineto S} def /plus {xys n xv yv siz 2. div sub m 0 siz rlineto xv siz 2. div sub yv m siz 0 rlineto S} def /dot {n 2. div 0 360 arc s} def /fdot {n 2. div 0 360 arc h f} def /box {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub siz 2 sqrt div dup rs} def /fbox {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub siz 2 sqrt div dup rf} def /tridn{xys n xv yv siz 3 sqrt div add m siz 2. div neg 3 sqrt 2. div siz mul neg rlineto siz 0 rlineto s} def /ftridn{xys n xv yv siz 3 sqrt div add m siz 2. div neg 3 sqrt 2. div siz mul neg rlineto siz 0 rlineto h f} def % Symbols defined in terms of the others. /star {3 copy cross plus} def /cross {xys q xv yv translate 45 rotate 0 0 siz plus Q} def /diamond {xys q xv yv translate 45 rotate 0 0 siz box Q} def /fdiamond {xys q xv yv translate 45 rotate 0 0 siz fbox Q} def /triup {xys q xv yv translate 180 rotate 0 0 siz tridn Q} def /ftriup {xys q xv yv translate 180 rotate 0 0 siz ftridn Q} def % Define the composite fonts used to print Unicode strings. % Undefine particular values in an encoding array. /vg&undef { {exch dup 3 -1 roll /.notdef put} forall } def /vg&redef { {3 -1 roll dup 4 2 roll put} forall } def % usage: key encoding basefontname vg&newbasefont font /vg&newbasefont { findfont dup length dict copy begin currentdict /FID undef /Encoding exch def dup /FontName exch def currentdict end definefont } def % usage: key encoding basefontname vg&newskewedbasefont font /vg&newskewedbasefont { findfont dup length dict copy begin currentdict /FID undef /Encoding exch def dup /FontName exch def exch FontMatrix exch matrix concatmatrix /FontMatrix exch def currentdict end definefont } def % usage: basekey suffix vg&nconcat name /vg&nconcat { 2 {dup length string cvs exch} repeat dup length 3 -1 roll dup length 3 -1 roll add string dup 0 4 -1 roll dup length 5 1 roll putinterval dup 4 -2 roll exch putinterval cvn } def %usage: fontname vg&skewmatrix matrix /vg&skewmatrix { findfont dup /FontInfo known { /FontInfo get dup /ItalicAngle known { [ 1 0 4 -1 roll /ItalicAngle get neg dup sin exch cos div 1 0 0 ] } {pop matrix} ifelse } {pop matrix} ifelse } def % usage: newfontname basefontname vg&newcompositefont -- /vg&newcompositefont { /vg&fstyle exch def /vg&bfont exch def /vg&fname exch def << /FontStyleBits vg&fstyle /FontType 0 /FontMatrix matrix /FontName vg&fname /FMapType 2 /Encoding [ 0 1 255 {pop 6} for ] dup 16#00 0 put % Latin dup 16#03 1 put % Greek dup 16#20 2 put % Punctuation dup 16#21 3 put % Arrows dup 16#22 4 put % MathOps dup 16#27 5 put % Dingbats /FDepVector [ vg&bfont /-UC-Latin vg&nconcat UCLatinEncoding vg&bfont vg&newbasefont vg&bfont vg&skewmatrix vg&bfont /-UC-Greek vg&nconcat UCGreekEncoding /Symbol vg&newskewedbasefont vg&bfont /-UC-Punctuation vg&nconcat UCPunctuationEncoding vg&bfont vg&newbasefont /Arrows-UC findfont /MathOps-UC findfont /Dingbats-UC findfont /Undefined-UC findfont ] >> vg&fname exch definefont pop } def % Null encoding vector (all elements set to .notdef) /NullEncoding [ 256 {/.notdef} repeat ] def % Unicode Latin encoding (unicode codes \u0000-\u00ff) /UCLatinEncoding ISOLatin1Encoding dup length array copy dup 16#60 /grave put [ 16#90 16#91 16#92 16#93 16#94 16#95 16#96 16#97 16#98 16#9a 16#9b 16#9d 16#9e 16#9f ] vg&undef def % Unicode Greek encoding (unicode codes \u0370-\u03ff) /UCGreekEncoding NullEncoding dup length array copy << 16#91 /Alpha 16#92 /Beta 16#93 /Gamma 16#94 /Delta 16#95 /Epsilon 16#96 /Zeta 16#97 /Eta 16#98 /Theta 16#99 /Iota 16#9a /Kappa 16#9b /Lambda 16#9c /Mu 16#9d /Nu 16#9e /Xi 16#9f /Omicron 16#a0 /Pi 16#a1 /Rho 16#a3 /Sigma 16#a4 /Tau 16#a5 /Upsilon 16#a6 /Phi 16#a7 /Chi 16#a8 /Psi 16#a9 /Omega 16#b1 /alpha 16#b2 /beta 16#b3 /gamma 16#b4 /delta 16#b5 /epsilon 16#b6 /zeta 16#b7 /eta 16#b8 /theta 16#b9 /iota 16#ba /kappa 16#bb /lambda 16#bc /mu 16#bd /nu 16#be /xi 16#bf /omicron 16#c0 /pi 16#c1 /rho 16#c2 /sigma1 16#c3 /sigma 16#c4 /tau 16#c5 /upsilon 16#c6 /phi1 16#c7 /chi 16#c8 /psi 16#c9 /omega 16#7e /semicolon 16#87 /dotmath 16#d1 /theta1 16#d2 /Upsilon1 16#d5 /phi 16#d6 /omega1 >> vg&redef def % Unicode punctuation encoding (unicode codes \u2000-\u206f) /UCPunctuationEncoding NullEncoding dup length array copy << 16#10 /hyphen 16#11 /hyphen 16#12 /endash 16#13 /emdash 16#18 /quoteleft 16#19 /quoteright 16#1a /quotesinglbase 16#1b /quotesingle 16#1c /quotedblleft 16#1d /quotedblright 16#1e /quotedblbase 16#1f /quotedbl 16#20 /dagger 16#21 /daggerdbl 16#22 /bullet 16#24 /period 16#26 /ellipsis 16#27 /periodcentered 16#30 /perthousand 16#44 /fraction 16#70 /zerosuperior 16#74 /foursuperior 16#75 /fivesuperior 16#76 /sixsuperior 16#77 /sevensuperior 16#78 /eightsuperior 16#79 /ninesuperior 16#7b /hyphensuperior 16#7d /parenleftsuperior 16#7e /parenrightsuperior 16#80 /zeroinferior 16#84 /fourinferior 16#85 /fiveinferior 16#81 /oneinferior 16#82 /twoinferior 16#83 /threeinferior 16#86 /sixinferior 16#87 /seveninferior 16#88 /eightinferior 16#89 /nineinferior 16#8b /hypheninferior 16#8d /parenleftinferior 16#8e /parenrightinferior >> vg&redef def % Unicode mathematical operators encoding (unicode codes \u2200-\u22ff) /UCMathOpsEncoding NullEncoding dup length array copy << 16#00 /universal 16#02 /partialdiff 16#03 /existential 16#05 /emptyset 16#06 /Delta 16#07 /gradient 16#08 /element 16#09 /notelement 16#0b /suchthat 16#0f /product 16#11 /summation 16#12 /minus 16#15 /fraction 16#17 /asteriskmath 16#19 /bullet 16#1a /radical 16#1d /proportional 16#1e /infinity 16#20 /angle 16#23 /bar 16#27 /logicaland 16#28 /logicalor 16#29 /intersection 16#2a /union 16#2b /integral 16#34 /therefore 16#36 /colon 16#3c /similar 16#45 /congruent 16#48 /approxequal 16#60 /notequal 16#61 /equivalence 16#64 /lessequal 16#65 /greaterequal 16#82 /propersubset 16#83 /propersuperset 16#86 /reflexsubset 16#87 /reflexsuperset 16#95 /circleplus 16#97 /circlemultiply 16#a5 /perpendicular 16#03 /existential 16#c0 /logicaland 16#c1 /logicalor 16#c2 /intersection 16#c3 /union 16#c4 /diamond 16#c5 /dotmath >> vg&redef def % Unicode arrows encoding (unicode codes \u2190-\u21ff) % Also includes those "Letterlike" unicode characters % which are available in the symbol font. (unicode codes \u2100-\u214f) /UCArrowsEncoding NullEncoding dup length array copy << 16#11 /Ifraktur 16#1c /Rfraktur 16#22 /trademarkserif 16#35 /aleph 16#90 /arrowleft 16#91 /arrowup 16#92 /arrowright 16#93 /arrowdown 16#94 /arrowboth 16#d0 /arrowdblleft 16#d1 /arrowdblup 16#d2 /arrowdblright 16#d3 /arrowdbldown 16#d4 /arrowdblboth >> vg&redef def /ZapfDingbats findfont /Encoding get dup length array copy /UCDingbatsEncoding exch def 16#20 1 16#7f { dup 16#20 sub exch UCDingbatsEncoding exch get UCDingbatsEncoding 3 1 roll put } for 16#a0 1 16#ff { dup 16#40 sub exch UCDingbatsEncoding exch get UCDingbatsEncoding 3 1 roll put } for UCDingbatsEncoding [ 16#c0 1 16#ff {} for ] vg&undef [ 16#00 16#05 16#0a 16#0b 16#28 16#4c 16#4e 16#53 16#54 16#55 16#57 16#5f 16#60 16#68 16#69 16#6a 16#6b 16#6c 16#6d 16#6e 16#6f 16#70 16#71 16#72 16#73 16#74 16#75 16#95 16#96 16#97 16#b0 16#bf ] vg&undef pop % Define the base fonts which don't change. /Undefined-UC NullEncoding /Helvetica vg&newbasefont pop /MathOps-UC UCMathOpsEncoding /Symbol vg&newbasefont pop /Arrows-UC UCArrowsEncoding /Symbol vg&newbasefont pop /Dingbats-UC UCDingbatsEncoding /ZapfDingbats vg&newbasefont pop % Make the SansSerif composite fonts. /SansSerif /Helvetica 16#00 vg&newcompositefont /SansSerif-Bold /Helvetica-Bold 16#01 vg&newcompositefont /SansSerif-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /SansSerif-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the Serif composite fonts. /Serif /Times-Roman 16#00 vg&newcompositefont /Serif-Bold /Times-Bold 16#01 vg&newcompositefont /Serif-Italic /Times-Italic 16#02 vg&newcompositefont /Serif-BoldItalic /Times-BoldItalic 16#03 vg&newcompositefont % Make the Monospaced composite fonts. /Monospaced /Courier 16#00 vg&newcompositefont /Monospaced-Bold /Courier-Bold 16#01 vg&newcompositefont /Monospaced-Italic /Courier-Oblique 16#02 vg&newcompositefont /Monospaced-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont % Make the Dialog composite fonts. /Dialog /Helvetica 16#00 vg&newcompositefont /Dialog-Bold /Helvetica-Bold 16#01 vg&newcompositefont /Dialog-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /Dialog-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the DialogInput composite fonts. /DialogInput /Helvetica 16#00 vg&newcompositefont /DialogInput-Bold /Helvetica-Bold 16#01 vg&newcompositefont /DialogInput-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /DialogInput-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the Typewriter composite fonts (JDK 1.1 only). /Typewriter /Courier 16#00 vg&newcompositefont /Typewriter-Bold /Courier-Bold 16#01 vg&newcompositefont /Typewriter-Italic /Courier-Oblique 16#02 vg&newcompositefont /Typewriter-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont /cfontH { dup /fontsize exch def /SansSerif exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHB { dup /fontsize exch def /SansSerif-Bold exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHI { dup /fontsize exch def /SansSerif-Italic exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHBI { dup /fontsize exch def /SansSerif-BoldItalic exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontT { dup /fontsize exch def /Serif exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTB { dup /fontsize exch def /Serif-Bold exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTI { dup /fontsize exch def /Serif-Italic exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTBI { dup /fontsize exch def /Serif-BoldItalic exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontC { dup /fontsize exch def /Typewriter exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCB { dup /fontsize exch def /Typewriter-Bold exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCI { dup /fontsize exch def /Typewriter-Italic exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCBI { dup /fontsize exch def /Typewriter-BoldItalic exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def % Darken or lighten the current color. /darken {0.7 exch exp 3 copy q 4 -1 roll vg&C currentrgbcolor 3 {4 -2 roll mul} repeat 3 array astore Q} def /displayColorMap << /Cr [1.00 0.00 0.00] /Cg [0.00 1.00 0.00] /Cb [0.00 0.00 1.00] /Cc [1.00 0.00 0.00 0.00] /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] /Cw [1 ] /Cgrl [0.75] /Cgr [0.50] /Cgrd [0.25] /Ck [0 ] /CGr [1.00 0.00 0.00] /CGg [0.00 1.00 0.00] /CGb [0.00 0.00 1.00] /CGc [1.00 0.00 0.00 0.00] /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] /CGw [1 ] /CGgrl [0.75] /CGgr [0.50] /CGgrd [0.25] /CGk [0 ] /CIr [1.00 0.00 0.00] /CIg [0.00 1.00 0.00] /CIb [0.00 0.00 1.00] /CIc [1.00 0.00 0.00 0.00] /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] /CIw [1 ] /CIgrl [0.75] /CIgr [0.50] /CIgrd [0.25] /CIk [0 ] >> def /printColorMap << /Cr [1.00 0.33 0.33] /Cg [0.33 1.00 0.33] /Cb [0.33 0.33 1.00] /Cc [1.00 0.00 0.00 0.00] /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] /Cw [1 ] /Cgrl [0.75] /Cgr [0.50] /Cgrd [0.25] /Ck [0 ] /CGr [1.00 0.33 0.33] /CGg [0.33 1.00 0.33] /CGb [0.33 0.33 1.00] /CGc [1.00 0.00 0.00 0.00] /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] /CGw [1 ] /CGgrl [0.75] /CGgr [0.50] /CGgrd [0.25] /CGk [0 ] /CIr [1.00 0.33 0.33] /CIg [0.33 1.00 0.33] /CIb [0.33 0.33 1.00] /CIc [1.00 0.00 0.00 0.00] /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] /CIw [1 ] /CIgrl [0.75] /CIgr [0.50] /CIgrd [0.25] /CIk [0 ] >> def /grayColorMap << /Cr [0 ] /Cg [0 ] /Cb [0 ] /Cc [0 ] /Cm [0 ] /Cy [0 ] /Co [0 ] /Cp [0 ] /Cw [0 ] /Cgrl [0 ] /Cgr [0 ] /Cgrd [0 ] /Ck [0 ] /CGr [0.75] /CGg [1 ] /CGb [0.50] /CGc [0.75] /CGm [0.50] /CGy [1 ] /CGo [0.75] /CGp [1 ] /CGw [0 ] /CGgrl [0.25] /CGgr [0.50] /CGgrd [0.75] /CGk [1 ] /CIr [1 ] /CIg [1 ] /CIb [1 ] /CIc [1 ] /CIm [1 ] /CIy [1 ] /CIo [1 ] /CIp [1 ] /CIw [1 ] /CIgrl [1 ] /CIgr [1 ] /CIgrd [1 ] /CIk [1 ] >> def /bwColorMap << /Cr [0 ] /Cg [0 ] /Cb [0 ] /Cc [0 ] /Cm [0 ] /Cy [0 ] /Co [0 ] /Cp [0 ] /Cw [0 ] /Cgrl [0 ] /Cgr [0 ] /Cgrd [0 ] /Ck [0 ] /CGr [1 ] /CGg [1 ] /CGb [1 ] /CGc [1 ] /CGm [1 ] /CGy [1 ] /CGo [1 ] /CGp [1 ] /CGw [0 ] /CGgrl [1 ] /CGgr [1 ] /CGgrd [1 ] /CGk [1 ] /CIr [1 ] /CIg [1 ] /CIb [1 ] /CIc [1 ] /CIm [1 ] /CIy [1 ] /CIo [1 ] /CIp [1 ] /CIw [1 ] /CIgrl [1 ] /CIgr [1 ] /CIgrd [1 ] /CIk [1 ] >> def % % The following routines handle the alignment of and printing of % tagged strings. % % Predefine the bounding box values. /bbllx 0 def /bblly 0 def /bburx 0 def /bbury 0 def % This routine pops the first unicode character off of a string and returns % the remainder of the string, the character code of first character, % and a "true" if the string was non-zero length. % <string> popfirst <remaining string> <true> % <null string> popfirst <false> /popfirst { dup length 1 gt {dup 0 get /vg&fbyte exch def dup 1 get /vg&cbyte exch def dup length 2 sub 2 exch getinterval true} {pop false} ifelse } def % This routine shows a single unicode character given the font and % character codes. % <font code> <char code> unicharshow -- /unicharshow { 2 string dup 0 5 -1 roll put dup 1 4 -1 roll put internalshow } def % This is an internal routine to alternate between determining the % bounding box for stringsize and showing the string for recshow. % <string> internalshow -- /internalshow {show} def % This is an internal routine to alternate between determining the % bounding box for stringsize and stroking various ornaments. % <string> internalstroke -- /internalstroke {S} def % Sets up internalshow to use the null device to determine string size. % -- nullinternalshow -- /nullinternalshow {/internalshow {false charpath flattenpath pathbbox updatebbox} def} def % Sets up internalstroke to use the null device to determine string size. % -- nullinternalstroke -- /nullinternalstroke { /internalstroke {flattenpath pathbbox updatebbox} def} def % This routine tests to see if the character code matches the first % character of a string. % <char code> <string> testchar <char code> <true or false> /testchar {exch dup 3 -1 roll 0 get eq} def % Raise the text baseline for superscripts. % -- raise -- /raise { 0 fontsize 2 div rmoveto /fontsize fontsize 2 mul 3 div def currentfont /FontName get fontsize sf } def % Un-raise the text baseline for superscripts. % -- unraise -- /unraise { /fontsize fontsize 1.5 mul def 0 fontsize 2 div neg rmoveto } def % Lower the text baseline for subscripts. % -- lower -- /lower { 0 fontsize 3 div neg rmoveto /fontsize fontsize 2 mul 3 div def currentfont /FontName get fontsize sf } def % Un-lower the text baseline for subscripts. % -- unlower -- /unlower { /fontsize fontsize 1.5 mul def 0 fontsize 3 div rmoveto } def % Compare the top two elements on the stack and leave only the % larger one. /maxval {2 copy gt {pop} {exch pop} ifelse} def % Tokenize a string. Do not use the usual PostScript token because % parentheses will not be interpreted correctly because of rescanning % of the string. /vg&token {/vg&string exch def /vg&index -1 def /vg&level 0 def 0 2 vg&string length 2 sub { dup dup 1 add exch vg&string exch get 8 bitshift vg&string 3 -1 roll get or dup 16#f0fe eq {pop 1}{16#f0ff eq {-1}{0} ifelse} ifelse /vg&level exch vg&level add def vg&level 0 eq {/vg&index exch def exit} if pop } for vg&index 0 ge { vg&string vg&index 2 add dup vg&string length exch sub getinterval vg&index 2 gt {vg&string 2 vg&index 2 sub getinterval}{()} ifelse true} {false} ifelse } bind def % Recursively show an unicode string. % <string> recshow -- /recshow { popfirst { % Test to see if this is a string attribute. vg&fbyte 16#f0 and 16#e0 eq { q % Font style. currentfont dup /FontStyleBits known {/FontStyleBits get}{pop 0} ifelse vg&cbyte or vg&fontstyles exch get fontsize exch exec vg&token pop recshow currentpoint Q m recshow } { vg&fbyte 16#F8 and 16#F0 eq { % Superscript and/or subscript. vg&cbyte 16#00 eq { vg&token pop exch vg&token pop 3 -1 roll q raise recshow unraise currentpoint pop Q exch q lower recshow unlower currentpoint pop Q maxval currentpoint exch pop m recshow } if % Strikeout. vg&cbyte 16#01 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick w currentpoint 4 -2 roll fontsize 3 div add moveto fontsize 3 div add lineto internalstroke Q recshow} if % Underline. vg&cbyte 16#02 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Dashed underline. vg&cbyte 16#03 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J [ vg&uthick 5 mul vg&uthick 2 mul] 0 d vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Dotted underline. vg&cbyte 16#04 eq { vg&token pop currentpoint 3 -1 roll recshow q 1 J [ 0 vg&uthick 3 mul] 0 d vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Thick underline. vg&cbyte 16#05 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick 2 mul w currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q recshow} if % Gray thick underline. vg&cbyte 16#06 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick 2 mul w 0.5 setgray currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q recshow} if % Overbar. vg&cbyte 16#07 eq { vg&token pop dup stringsize relative 4 1 roll pop pop exch 3 -1 roll recshow q 0 J vg&underline vg&uthick w vg&uoffset neg add dup currentpoint pop exch m l internalstroke Q recshow} if } { vg&fbyte vg&cbyte unicharshow recshow } ifelse } ifelse } if } def % Get the underline position and thickness from the current font. /vg&underline { currentfont dup /FontType get 0 eq {/FDepVector get 0 get} if dup dup /FontInfo known { /FontInfo get dup dup /UnderlinePosition known { /UnderlinePosition get /vg&uoffset exch def } { pop /vg&uoffset 0 def } ifelse dup /UnderlineThickness known { /UnderlineThickness get /vg&uthick exch def } { pop /vg&uthick 0 def } ifelse } { pop /vg&uoffset 0 def /vg&uthick 0 def } ifelse /FontMatrix get currentfont dup /FontType get 0 eq {/FontMatrix get matrix concatmatrix}{pop} ifelse dup 0 vg&uoffset 3 -1 roll transform /vg&uoffset exch def pop 0 vg&uthick 3 -1 roll transform /vg&uthick exch def pop } def % Make a frame with the coordinates on the stack. % <llx> <lly> <urx> <ury> frame -- /frame {4 copy m 3 1 roll exch l 4 -2 roll l l h} def % Resets the accumulated bounding box to a degenerate box at the % current point. % -- resetbbox -- /resetbbox { currentpoint 2 copy /bbury exch def /bburx exch def /bblly exch def /bbllx exch def } def % Update the accumulated bounding box. % <llx'> <lly'> <urx'> <ury'> updatebbox -- /updatebbox { dup bbury gt {/bbury exch def} {pop} ifelse dup bburx gt {/bburx exch def} {pop} ifelse dup bblly lt {/bblly exch def} {pop} ifelse dup bbllx lt {/bbllx exch def} {pop} ifelse } def % Set the bounding box to the values on the stack. % <llx'> <lly'> <urx'> <ury'> updatebbox -- /restorebbox { /bbury exch def /bburx exch def /bblly exch def /bbllx exch def } def % Push the accumulated bounding box onto the stack. % -- pushbbox <llx> <lly> <urx> <ury> /pushbbox {bbllx bblly bburx bbury} def % Make the relative bounding box relative to the currentpoint. % <llx'> <lly'> <urx'> <ury'> inflate <llx> <lly> <urx> <ury> /inflate { 2 {fontsize 0.2 mul add 4 1 roll} repeat 2 {fontsize 0.2 mul sub 4 1 roll} repeat } def % Make the relative bounding box relative to the currentpoint. % <llx'> <lly'> <urx'> <ury'> relative <llx> <lly> <urx> <ury> /relative { currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll } def % Returns the size of a string appropriate for recshow. % <string> stringsize <llx> <lly> <urx> <ury> /stringsize { pushbbox /internalshow load /internalstroke load 7 -1 roll q nulldevice 0 0 m nullinternalshow nullinternalstroke resetbbox recshow /internalstroke exch def /internalshow exch def pushbbox 8 -4 roll restorebbox Q } def % Calculate values for string positioning. /calcval {4 copy 3 -1 roll sub /widy exch def sub neg /widx exch def pop pop /dy exch def /dx exch def} def % Utilities to position a string. % First letter (U=upper, C=center, B=baseline, L=lower) % Second letter (L=left, C=center, R=right) /align [ {calcval dx neg widy dy add neg rmoveto} % UL {calcval dx neg widy 2 div dy add neg rmoveto} % CL {calcval dx neg 0 rmoveto} % BL {calcval dx neg dy neg rmoveto} % LL {calcval widx dx add neg widy dy add neg rmoveto} % UR {calcval widx dx add neg widy 2 div dy add neg rmoveto} % CR {calcval widx dx add 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52.8437 84.1562 c 52.3333 84.1562 51.9609 84.0677 51.7265 83.8906 c 51.4921 83.7135 51.3750 83.5208 51.3750 83.3125 c 51.3750 83.1875 51.4244 83.0807 51.5234 82.9921 c 51.6224 82.9036 51.7447 82.8593 51.8906 82.8593 c 51.9947 82.8593 52.0885 82.8750 52.1718 82.9062 c 52.2552 82.9375 52.3958 83.0260 52.5937 83.1718 c 52.9166 83.3906 53.2395 83.5000 53.5625 83.5000 c 54.0625 83.5000 54.4974 83.3125 54.8671 82.9375 c 55.2369 82.5625 55.4218 82.1041 55.4218 81.5625 c 55.4218 81.0416 55.2552 80.5572 54.9218 80.1093 c 54.5885 79.6614 54.1302 79.3125 53.5468 79.0625 c 53.0781 78.8750 52.4479 78.7656 51.6562 78.7343 c 53.3125 75.3906 l 56.3906 75.3906 l h f Q [ 1.00000 0 0 1.00000 5.00000 5.00000 ] concat Q q newpath 60.0000 8.00891 m 54.8000 8.00891 l S [ 1.00000 0 0 1.00000 -5.00000 -5.00000 ] concat q newpath 51.5312 10.2343 m 53.6250 9.21875 l 53.8281 9.21875 l 53.8281 16.4843 l 53.8281 16.9635 53.8489 17.2630 53.8906 17.3828 c 53.9322 17.5026 54.0156 17.5937 54.1406 17.6562 c 54.2656 17.7187 54.5208 17.7552 54.9062 17.7656 c 54.9062 18.0000 l 51.6718 18.0000 l 51.6718 17.7656 l 52.0781 17.7552 52.3411 17.7187 52.4609 17.6562 c 52.5807 17.5937 52.6640 17.5104 52.7109 17.4062 c 52.7578 17.3020 52.7812 16.9947 52.7812 16.4843 c 52.7812 11.8437 l 52.7812 11.2083 52.7604 10.8020 52.7187 10.6250 c 52.6875 10.4895 52.6328 10.3906 52.5546 10.3281 c 52.4765 10.2656 52.3802 10.2343 52.2656 10.2343 c 52.1093 10.2343 51.8958 10.3020 51.6250 10.4375 c 51.5312 10.2343 l h f Q [ 1.00000 0 0 1.00000 5.00000 5.00000 ] concat Q Q Q Q cliprestore 0 0 400 400 rc [ 1.00000 0 0 1.00000 0 0 ] concat [ 1.00000 0 0 1.00000 0 0 ] concat cliprestore 2 J 0 j end end restore showpage %%Trailer %%EOF %%EndDocument @endspecial 2008 x @beginspecial 0 @angle 35 @hscale 35 @vscale 240 @hoffset -29 @voffset @setspecial %%BeginDocument: tc2.eps %!PS-Adobe-3.0 EPSF-3.0 %%BoundingBox: 20 118 575 673 %%Creator: FreeHEP Graphics2D Driver %%Producer: com.maplesoft.mathdoc.view.plot.paint.PlotPSGraphics2D Revision: 12753 %%For: %%Title: %%CreationDate: Wednesday, August 24, 2011 11:55:41 AM IRST %%LanguageLevel: 3 %%EndComments %%BeginProlog 100 dict dup begin % % File: org/freehep/graphicsio.ps/PSProlog.txt % Author: Charles Loomis % % Redefinitions which save some space in the output file. These are also % the same as the PDF operators. /q {gsave} def /Q {grestore} def /n {newpath} def /m {moveto} def /l {lineto} def /c {curveto} def /h {closepath} def /re {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} def /f {fill} def /f* {eofill} def /F {gsave vg&FC fill grestore} def /F* {gsave vg&FC eofill grestore} def /s {closepath stroke} def /S {stroke} def /b {closepath gsave vg&FC fill grestore gsave stroke grestore newpath} def /B {gsave vg&FC fill grestore gsave stroke grestore newpath} def /b* {closepath gsave vg&FC eofill grestore gsave stroke grestore newpath} def /B* {gsave vg&FC eofill grestore gsave stroke grestore newpath} def /g {1 array astore /vg&fcolor exch def} def /G {setgray} def /k {4 array astore /vg&fcolor exch def} def /K {setcmykcolor} def /rg {3 array astore /vg&fcolor exch def} def /RG {setrgbcolor} def % Initialize the fill color. 0 0 0 rg /vg&FC {mark vg&fcolor aload pop counttomark 1 eq {G} if counttomark 3 eq {RG} if counttomark 4 eq {K} if cleartomark } def /vg&DFC {/vg&fcolor exch def} def /vg&C {mark exch aload pop counttomark 1 eq {G} if counttomark 3 eq {RG} if counttomark 4 eq {K} if cleartomark } def /w {setlinewidth} def /j {setlinejoin} def /J {setlinecap} def /M {setmiterlimit} def /d {setdash} def /i {setflat} def /W {clip} def /W* {eoclip} def % Setup the default graphics state. % (black; 1 pt. linewidth; miter join; butt-ends; solid) /defaultGraphicsState {0 g 1 w 0 j 0 J [] 0 d} def % Emulation of the rectangle operators for PostScript implementations % which do not implement all Level 2 features. This is an INCOMPLETE % emulation; only the "x y width height rect..." form is emulated. /*rf {gsave newpath re fill grestore} def /*rs {gsave newpath re stroke grestore} def /*rc {newpath re clip} def /rf /rectfill where {pop /rectfill}{/*rf} ifelse load def /rs /rectstroke where {pop /rectstroke}{/*rs} ifelse load def /rc /rectclip where {pop /rectclip}{/*rc} ifelse load def % Emulation of the selectfont operator. This includes a 20% increase in % the fontsize which is necessary to get sizes similar to the Java fonts. /*sf {exch findfont exch dup type /arraytype eq {makefont}{scalefont} ifelse setfont} bind def /sf /selectfont where {pop {1.2 mul selectfont}}{{1.2 mul *sf}} ifelse def % Special version of stroke which allows the dash pattern to continue % across path segments. (This may be needed for PostScript although % modern printers seem to do this correctly.) /vg&stroke { currentdash pop length 0 eq {stroke} { currentdash /vg&doffset exch def pop flattenpath {m vg&resetdash} {2 copy currentpoint 3 -1 roll sub dup mul 3 1 roll sub dup mul add sqrt 3 1 roll l currentdash 3 -1 roll add setdash} {} {h vg&resetdash} pathforall stroke vg&resetdash } ifelse } def /vg&resetdash {currentdash pop vg&doffset setdash} def % Initialize variables for safety. /delta 0 def /xv 0 def /yv 0 def /width 0 def /height 0 def % Initialize to portrait INTERNATIONAL (Letter-height, A4-width) page. /pw 595 def /ph 791 def /po true def /ftp false def % Initialize margins to 20 points. /ml 20 def /mr 20 def /mt 20 def /mb 20 def % Temporary matrices. /smatrix 0 def /nmatrix 0 def % set page size (usage: <page width><page height> setpagesize) /setpagesize {/ph exch def /pw exch def} def % set page orientation (usage: portrait or landscape) /portrait {/po true def} def /landscape {/po false def} def % force natural size for image (usage: naturalsize) /naturalsize {/ftp false def} def % resize image to fill page (usage: fittopage) /fittopage {/ftp true def} def % set margins of the page (usage: <left><bottom><top><right> setmargins) /setmargins {/mr exch def /mt exch def /mb exch def /ml exch def} def % set the graphic's size (usage: <width><height> setsize) /setsize {/gh exch def /gw exch def} def % set the graphic's origin (usage: <x0><y0> setorigin) /setorigin {/gy exch def /gx exch def} def % calculate image center /imagecenter {pw ml sub mr sub 2 div ml add ph mt sub mb sub 2 div mb add} def % calculate the necessary scaling /imagescale {po {gw}{gh} ifelse pw ml sub mr sub div po {gh}{gw} ifelse ph mt sub mb sub div 2 copy lt {exch} if pop ftp not {1 2 copy lt {exch} if pop} if 1 exch div /sfactor exch def /gw gw sfactor mul def /gh gh sfactor mul def} def % calculate image origin /imageorigin {pw ml sub mr sub 2 div ml add po {gw}{gh} ifelse 2 div sub ph mt sub mb sub 2 div mb add po {gh}{gw} ifelse 2 div po {add}{sub} ifelse} def % calculate the clipping origin /cliporigin {pw ml sub mr sub 2 div ml add po {gw}{gh} ifelse 2 div sub floor ph mt sub mb sub 2 div mb add po {gh}{gw} ifelse 2 div sub floor} def % Set the clipping region to the bounding box. /cliptobounds {cliporigin po {gw}{gh} ifelse 1 add po {gh}{gw} ifelse 1 add rc} def % set the base transformation matrix (usage: setbasematrix) /setbasematrix {imageorigin translate po {0}{90} ifelse rotate sfactor sfactor neg scale /defaultmatrix matrix currentmatrix def} def % The lower-right bias in drawing 1 pt. wide lines. /bias {q 0.5 0.5 translate} def /unbias {Q} def % Draw a line. (x0 y0 x1 y1 line) /L {bias n m l S unbias} def % Polyline primitive. /polyline {n m 1 exch 1 exch {pop currentfile token pop currentfile token pop l} for } def % Draw a polyline (n x0 y0 OPL x1 y1 x2 y2 ... ... xn yn) /OPL {bias polyline S unbias} def % Draw a closed polyline (n x0 y0 CPL x1 y1 x2 y2 ... ... xn yn) /CPL {bias polyline s unbias} def % Draw a filled polyline (n x0 y0 FPL x1 y1 x2 y2 ... ... xn yn) /FPL {polyline h f*} def % Draw an oval. (x y w h OVL) /OVL {matrix currentmatrix /smatrix exch def /height exch def /width exch def /yv exch def /xv exch def width 2 div xv add height 2 div yv add translate width currentlinewidth sub 2 div height currentlinewidth sub 2 div neg scale n 0 0 1 5 -2 roll arc smatrix setmatrix S} def % Draw a filled oval. (x y w h FOVL) /FOVL {matrix currentmatrix /smatrix exch def /height exch def /width exch def /yv exch def /xv exch def width 2 div xv add height 2 div yv add translate width 2 div height 2 div neg scale n 0 0 m 0 0 1 5 -2 roll arc h smatrix setmatrix f} def % Draw a rounded rectangle. (x y w h arcwidth archeight RREC) /RREC {matrix currentmatrix /smatrix exch def 2 div /ah exch def 2 div /aw exch def /height exch def /width exch def /yv exch def /xv exch def aw ah scale matrix currentmatrix /nmatrix exch def smatrix setmatrix n xv width add aw sub yv m nmatrix setmatrix currentpoint exch 1 add exch currentpoint 1 add exch 1 add exch 1 arct smatrix setmatrix xv width add yv height add ah sub l nmatrix setmatrix currentpoint 1 add currentpoint exch 1 sub exch 1 add 1 arct smatrix setmatrix xv aw add yv height add l nmatrix setmatrix currentpoint exch 1 sub exch currentpoint exch 1 sub exch 1 sub 1 arct smatrix setmatrix xv yv ah add l nmatrix setmatrix currentpoint 1 sub currentpoint exch 1 add exch 1 sub 1 arct smatrix setmatrix s} def % Draw a filled rounded rectangle. (x y w h arcwidth archeight FRREC) /FRREC{matrix currentmatrix /smatrix exch def 2 div /ah exch def 2 div /aw exch def /height exch def /width exch def /yv exch def /xv exch def aw ah scale matrix currentmatrix /nmatrix exch def smatrix setmatrix n xv width add aw sub yv m nmatrix setmatrix currentpoint exch 1 add exch currentpoint 1 add exch 1 add exch 1 arct smatrix setmatrix xv width add yv height add ah sub l nmatrix setmatrix currentpoint 1 add currentpoint exch 1 sub exch 1 add 1 arct smatrix setmatrix xv aw add yv height add l nmatrix setmatrix currentpoint exch 1 sub exch currentpoint exch 1 sub exch 1 sub 1 arct smatrix setmatrix xv yv ah add l nmatrix setmatrix currentpoint 1 sub currentpoint exch 1 add exch 1 sub 1 arct smatrix setmatrix h f} def % Draw a string. (string x y STR) /STR {q m 1 -1 scale recshow Q} def % Define basic plot symbols. /xys {/siz exch def /yv exch def /xv exch def} def /hline {xys n xv siz 2. div sub yv m siz 0 rlineto S} def /vline {xys n xv yv siz 2. div sub m 0 siz rlineto S} def /plus {xys n xv yv siz 2. div sub m 0 siz rlineto xv siz 2. div sub yv m siz 0 rlineto S} def /dot {n 2. div 0 360 arc s} def /fdot {n 2. div 0 360 arc h f} def /box {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub siz 2 sqrt div dup rs} def /fbox {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub siz 2 sqrt div dup rf} def /tridn{xys n xv yv siz 3 sqrt div add m siz 2. div neg 3 sqrt 2. div siz mul neg rlineto siz 0 rlineto s} def /ftridn{xys n xv yv siz 3 sqrt div add m siz 2. div neg 3 sqrt 2. div siz mul neg rlineto siz 0 rlineto h f} def % Symbols defined in terms of the others. /star {3 copy cross plus} def /cross {xys q xv yv translate 45 rotate 0 0 siz plus Q} def /diamond {xys q xv yv translate 45 rotate 0 0 siz box Q} def /fdiamond {xys q xv yv translate 45 rotate 0 0 siz fbox Q} def /triup {xys q xv yv translate 180 rotate 0 0 siz tridn Q} def /ftriup {xys q xv yv translate 180 rotate 0 0 siz ftridn Q} def % Define the composite fonts used to print Unicode strings. % Undefine particular values in an encoding array. /vg&undef { {exch dup 3 -1 roll /.notdef put} forall } def /vg&redef { {3 -1 roll dup 4 2 roll put} forall } def % usage: key encoding basefontname vg&newbasefont font /vg&newbasefont { findfont dup length dict copy begin currentdict /FID undef /Encoding exch def dup /FontName exch def currentdict end definefont } def % usage: key encoding basefontname vg&newskewedbasefont font /vg&newskewedbasefont { findfont dup length dict copy begin currentdict /FID undef /Encoding exch def dup /FontName exch def exch FontMatrix exch matrix concatmatrix /FontMatrix exch def currentdict end definefont } def % usage: basekey suffix vg&nconcat name /vg&nconcat { 2 {dup length string cvs exch} repeat dup length 3 -1 roll dup length 3 -1 roll add string dup 0 4 -1 roll dup length 5 1 roll putinterval dup 4 -2 roll exch putinterval cvn } def %usage: fontname vg&skewmatrix matrix /vg&skewmatrix { findfont dup /FontInfo known { /FontInfo get dup /ItalicAngle known { [ 1 0 4 -1 roll /ItalicAngle get neg dup sin exch cos div 1 0 0 ] } {pop matrix} ifelse } {pop matrix} ifelse } def % usage: newfontname basefontname vg&newcompositefont -- /vg&newcompositefont { /vg&fstyle exch def /vg&bfont exch def /vg&fname exch def << /FontStyleBits vg&fstyle /FontType 0 /FontMatrix matrix /FontName vg&fname /FMapType 2 /Encoding [ 0 1 255 {pop 6} for ] dup 16#00 0 put % Latin dup 16#03 1 put % Greek dup 16#20 2 put % Punctuation dup 16#21 3 put % Arrows dup 16#22 4 put % MathOps dup 16#27 5 put % Dingbats /FDepVector [ vg&bfont /-UC-Latin vg&nconcat UCLatinEncoding vg&bfont vg&newbasefont vg&bfont vg&skewmatrix vg&bfont /-UC-Greek vg&nconcat UCGreekEncoding /Symbol vg&newskewedbasefont vg&bfont /-UC-Punctuation vg&nconcat UCPunctuationEncoding vg&bfont vg&newbasefont /Arrows-UC findfont /MathOps-UC findfont /Dingbats-UC findfont /Undefined-UC findfont ] >> vg&fname exch definefont pop } def % Null encoding vector (all elements set to .notdef) /NullEncoding [ 256 {/.notdef} repeat ] def % Unicode Latin encoding (unicode codes \u0000-\u00ff) /UCLatinEncoding ISOLatin1Encoding dup length array copy dup 16#60 /grave put [ 16#90 16#91 16#92 16#93 16#94 16#95 16#96 16#97 16#98 16#9a 16#9b 16#9d 16#9e 16#9f ] vg&undef def % Unicode Greek encoding (unicode codes \u0370-\u03ff) /UCGreekEncoding NullEncoding dup length array copy << 16#91 /Alpha 16#92 /Beta 16#93 /Gamma 16#94 /Delta 16#95 /Epsilon 16#96 /Zeta 16#97 /Eta 16#98 /Theta 16#99 /Iota 16#9a /Kappa 16#9b /Lambda 16#9c /Mu 16#9d /Nu 16#9e /Xi 16#9f /Omicron 16#a0 /Pi 16#a1 /Rho 16#a3 /Sigma 16#a4 /Tau 16#a5 /Upsilon 16#a6 /Phi 16#a7 /Chi 16#a8 /Psi 16#a9 /Omega 16#b1 /alpha 16#b2 /beta 16#b3 /gamma 16#b4 /delta 16#b5 /epsilon 16#b6 /zeta 16#b7 /eta 16#b8 /theta 16#b9 /iota 16#ba /kappa 16#bb /lambda 16#bc /mu 16#bd /nu 16#be /xi 16#bf /omicron 16#c0 /pi 16#c1 /rho 16#c2 /sigma1 16#c3 /sigma 16#c4 /tau 16#c5 /upsilon 16#c6 /phi1 16#c7 /chi 16#c8 /psi 16#c9 /omega 16#7e /semicolon 16#87 /dotmath 16#d1 /theta1 16#d2 /Upsilon1 16#d5 /phi 16#d6 /omega1 >> vg&redef def % Unicode punctuation encoding (unicode codes \u2000-\u206f) /UCPunctuationEncoding NullEncoding dup length array copy << 16#10 /hyphen 16#11 /hyphen 16#12 /endash 16#13 /emdash 16#18 /quoteleft 16#19 /quoteright 16#1a /quotesinglbase 16#1b /quotesingle 16#1c /quotedblleft 16#1d /quotedblright 16#1e /quotedblbase 16#1f /quotedbl 16#20 /dagger 16#21 /daggerdbl 16#22 /bullet 16#24 /period 16#26 /ellipsis 16#27 /periodcentered 16#30 /perthousand 16#44 /fraction 16#70 /zerosuperior 16#74 /foursuperior 16#75 /fivesuperior 16#76 /sixsuperior 16#77 /sevensuperior 16#78 /eightsuperior 16#79 /ninesuperior 16#7b /hyphensuperior 16#7d /parenleftsuperior 16#7e /parenrightsuperior 16#80 /zeroinferior 16#84 /fourinferior 16#85 /fiveinferior 16#81 /oneinferior 16#82 /twoinferior 16#83 /threeinferior 16#86 /sixinferior 16#87 /seveninferior 16#88 /eightinferior 16#89 /nineinferior 16#8b /hypheninferior 16#8d /parenleftinferior 16#8e /parenrightinferior >> vg&redef def % Unicode mathematical operators encoding (unicode codes \u2200-\u22ff) /UCMathOpsEncoding NullEncoding dup length array copy << 16#00 /universal 16#02 /partialdiff 16#03 /existential 16#05 /emptyset 16#06 /Delta 16#07 /gradient 16#08 /element 16#09 /notelement 16#0b /suchthat 16#0f /product 16#11 /summation 16#12 /minus 16#15 /fraction 16#17 /asteriskmath 16#19 /bullet 16#1a /radical 16#1d /proportional 16#1e /infinity 16#20 /angle 16#23 /bar 16#27 /logicaland 16#28 /logicalor 16#29 /intersection 16#2a /union 16#2b /integral 16#34 /therefore 16#36 /colon 16#3c /similar 16#45 /congruent 16#48 /approxequal 16#60 /notequal 16#61 /equivalence 16#64 /lessequal 16#65 /greaterequal 16#82 /propersubset 16#83 /propersuperset 16#86 /reflexsubset 16#87 /reflexsuperset 16#95 /circleplus 16#97 /circlemultiply 16#a5 /perpendicular 16#03 /existential 16#c0 /logicaland 16#c1 /logicalor 16#c2 /intersection 16#c3 /union 16#c4 /diamond 16#c5 /dotmath >> vg&redef def % Unicode arrows encoding (unicode codes \u2190-\u21ff) % Also includes those "Letterlike" unicode characters % which are available in the symbol font. (unicode codes \u2100-\u214f) /UCArrowsEncoding NullEncoding dup length array copy << 16#11 /Ifraktur 16#1c /Rfraktur 16#22 /trademarkserif 16#35 /aleph 16#90 /arrowleft 16#91 /arrowup 16#92 /arrowright 16#93 /arrowdown 16#94 /arrowboth 16#d0 /arrowdblleft 16#d1 /arrowdblup 16#d2 /arrowdblright 16#d3 /arrowdbldown 16#d4 /arrowdblboth >> vg&redef def /ZapfDingbats findfont /Encoding get dup length array copy /UCDingbatsEncoding exch def 16#20 1 16#7f { dup 16#20 sub exch UCDingbatsEncoding exch get UCDingbatsEncoding 3 1 roll put } for 16#a0 1 16#ff { dup 16#40 sub exch UCDingbatsEncoding exch get UCDingbatsEncoding 3 1 roll put } for UCDingbatsEncoding [ 16#c0 1 16#ff {} for ] vg&undef [ 16#00 16#05 16#0a 16#0b 16#28 16#4c 16#4e 16#53 16#54 16#55 16#57 16#5f 16#60 16#68 16#69 16#6a 16#6b 16#6c 16#6d 16#6e 16#6f 16#70 16#71 16#72 16#73 16#74 16#75 16#95 16#96 16#97 16#b0 16#bf ] vg&undef pop % Define the base fonts which don't change. /Undefined-UC NullEncoding /Helvetica vg&newbasefont pop /MathOps-UC UCMathOpsEncoding /Symbol vg&newbasefont pop /Arrows-UC UCArrowsEncoding /Symbol vg&newbasefont pop /Dingbats-UC UCDingbatsEncoding /ZapfDingbats vg&newbasefont pop % Make the SansSerif composite fonts. /SansSerif /Helvetica 16#00 vg&newcompositefont /SansSerif-Bold /Helvetica-Bold 16#01 vg&newcompositefont /SansSerif-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /SansSerif-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the Serif composite fonts. /Serif /Times-Roman 16#00 vg&newcompositefont /Serif-Bold /Times-Bold 16#01 vg&newcompositefont /Serif-Italic /Times-Italic 16#02 vg&newcompositefont /Serif-BoldItalic /Times-BoldItalic 16#03 vg&newcompositefont % Make the Monospaced composite fonts. /Monospaced /Courier 16#00 vg&newcompositefont /Monospaced-Bold /Courier-Bold 16#01 vg&newcompositefont /Monospaced-Italic /Courier-Oblique 16#02 vg&newcompositefont /Monospaced-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont % Make the Dialog composite fonts. /Dialog /Helvetica 16#00 vg&newcompositefont /Dialog-Bold /Helvetica-Bold 16#01 vg&newcompositefont /Dialog-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /Dialog-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the DialogInput composite fonts. /DialogInput /Helvetica 16#00 vg&newcompositefont /DialogInput-Bold /Helvetica-Bold 16#01 vg&newcompositefont /DialogInput-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /DialogInput-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the Typewriter composite fonts (JDK 1.1 only). /Typewriter /Courier 16#00 vg&newcompositefont /Typewriter-Bold /Courier-Bold 16#01 vg&newcompositefont /Typewriter-Italic /Courier-Oblique 16#02 vg&newcompositefont /Typewriter-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont /cfontH { dup /fontsize exch def /SansSerif exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHB { dup /fontsize exch def /SansSerif-Bold exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHI { dup /fontsize exch def /SansSerif-Italic exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHBI { dup /fontsize exch def /SansSerif-BoldItalic exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontT { dup /fontsize exch def /Serif exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTB { dup /fontsize exch def /Serif-Bold exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTI { dup /fontsize exch def /Serif-Italic exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTBI { dup /fontsize exch def /Serif-BoldItalic exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontC { dup /fontsize exch def /Typewriter exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCB { dup /fontsize exch def /Typewriter-Bold exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCI { dup /fontsize exch def /Typewriter-Italic exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCBI { dup /fontsize exch def /Typewriter-BoldItalic exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def % Darken or lighten the current color. /darken {0.7 exch exp 3 copy q 4 -1 roll vg&C currentrgbcolor 3 {4 -2 roll mul} repeat 3 array astore Q} def /displayColorMap << /Cr [1.00 0.00 0.00] /Cg [0.00 1.00 0.00] /Cb [0.00 0.00 1.00] /Cc [1.00 0.00 0.00 0.00] /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] /Cw [1 ] /Cgrl [0.75] /Cgr [0.50] /Cgrd [0.25] /Ck [0 ] /CGr [1.00 0.00 0.00] /CGg [0.00 1.00 0.00] /CGb [0.00 0.00 1.00] /CGc [1.00 0.00 0.00 0.00] /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] /CGw [1 ] /CGgrl [0.75] /CGgr [0.50] /CGgrd [0.25] /CGk [0 ] /CIr [1.00 0.00 0.00] /CIg [0.00 1.00 0.00] /CIb [0.00 0.00 1.00] /CIc [1.00 0.00 0.00 0.00] /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] /CIw [1 ] /CIgrl [0.75] /CIgr [0.50] /CIgrd [0.25] /CIk [0 ] >> def /printColorMap << /Cr [1.00 0.33 0.33] /Cg [0.33 1.00 0.33] /Cb [0.33 0.33 1.00] /Cc [1.00 0.00 0.00 0.00] /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] /Cw [1 ] /Cgrl [0.75] /Cgr [0.50] /Cgrd [0.25] /Ck [0 ] /CGr [1.00 0.33 0.33] /CGg [0.33 1.00 0.33] /CGb [0.33 0.33 1.00] /CGc [1.00 0.00 0.00 0.00] /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] /CGw [1 ] /CGgrl [0.75] /CGgr [0.50] /CGgrd [0.25] /CGk [0 ] /CIr [1.00 0.33 0.33] /CIg [0.33 1.00 0.33] /CIb [0.33 0.33 1.00] /CIc [1.00 0.00 0.00 0.00] /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] /CIw [1 ] /CIgrl [0.75] /CIgr [0.50] /CIgrd [0.25] /CIk [0 ] >> def /grayColorMap << /Cr [0 ] /Cg [0 ] /Cb [0 ] /Cc [0 ] /Cm [0 ] /Cy [0 ] /Co [0 ] /Cp [0 ] /Cw [0 ] /Cgrl [0 ] /Cgr [0 ] /Cgrd [0 ] /Ck [0 ] /CGr [0.75] /CGg [1 ] /CGb [0.50] /CGc [0.75] /CGm [0.50] /CGy [1 ] /CGo [0.75] /CGp [1 ] /CGw [0 ] /CGgrl [0.25] /CGgr [0.50] /CGgrd [0.75] /CGk [1 ] /CIr [1 ] /CIg [1 ] /CIb [1 ] /CIc [1 ] /CIm [1 ] /CIy [1 ] /CIo [1 ] /CIp [1 ] /CIw [1 ] /CIgrl [1 ] /CIgr [1 ] /CIgrd [1 ] /CIk [1 ] >> def /bwColorMap << /Cr [0 ] /Cg [0 ] /Cb [0 ] /Cc [0 ] /Cm [0 ] /Cy [0 ] /Co [0 ] /Cp [0 ] /Cw [0 ] /Cgrl [0 ] /Cgr [0 ] /Cgrd [0 ] /Ck [0 ] /CGr [1 ] /CGg [1 ] /CGb [1 ] /CGc [1 ] /CGm [1 ] /CGy [1 ] /CGo [1 ] /CGp [1 ] /CGw [0 ] /CGgrl [1 ] /CGgr [1 ] /CGgrd [1 ] /CGk [1 ] /CIr [1 ] /CIg [1 ] /CIb [1 ] /CIc [1 ] /CIm [1 ] /CIy [1 ] /CIo [1 ] /CIp [1 ] /CIw [1 ] /CIgrl [1 ] /CIgr [1 ] /CIgrd [1 ] /CIk [1 ] >> def % % The following routines handle the alignment of and printing of % tagged strings. % % Predefine the bounding box values. /bbllx 0 def /bblly 0 def /bburx 0 def /bbury 0 def % This routine pops the first unicode character off of a string and returns % the remainder of the string, the character code of first character, % and a "true" if the string was non-zero length. % <string> popfirst <remaining string> <true> % <null string> popfirst <false> /popfirst { dup length 1 gt {dup 0 get /vg&fbyte exch def dup 1 get /vg&cbyte exch def dup length 2 sub 2 exch getinterval true} {pop false} ifelse } def % This routine shows a single unicode character given the font and % character codes. % <font code> <char code> unicharshow -- /unicharshow { 2 string dup 0 5 -1 roll put dup 1 4 -1 roll put internalshow } def % This is an internal routine to alternate between determining the % bounding box for stringsize and showing the string for recshow. % <string> internalshow -- /internalshow {show} def % This is an internal routine to alternate between determining the % bounding box for stringsize and stroking various ornaments. % <string> internalstroke -- /internalstroke {S} def % Sets up internalshow to use the null device to determine string size. % -- nullinternalshow -- /nullinternalshow {/internalshow {false charpath flattenpath pathbbox updatebbox} def} def % Sets up internalstroke to use the null device to determine string size. % -- nullinternalstroke -- /nullinternalstroke { /internalstroke {flattenpath pathbbox updatebbox} def} def % This routine tests to see if the character code matches the first % character of a string. % <char code> <string> testchar <char code> <true or false> /testchar {exch dup 3 -1 roll 0 get eq} def % Raise the text baseline for superscripts. % -- raise -- /raise { 0 fontsize 2 div rmoveto /fontsize fontsize 2 mul 3 div def currentfont /FontName get fontsize sf } def % Un-raise the text baseline for superscripts. % -- unraise -- /unraise { /fontsize fontsize 1.5 mul def 0 fontsize 2 div neg rmoveto } def % Lower the text baseline for subscripts. % -- lower -- /lower { 0 fontsize 3 div neg rmoveto /fontsize fontsize 2 mul 3 div def currentfont /FontName get fontsize sf } def % Un-lower the text baseline for subscripts. % -- unlower -- /unlower { /fontsize fontsize 1.5 mul def 0 fontsize 3 div rmoveto } def % Compare the top two elements on the stack and leave only the % larger one. /maxval {2 copy gt {pop} {exch pop} ifelse} def % Tokenize a string. Do not use the usual PostScript token because % parentheses will not be interpreted correctly because of rescanning % of the string. /vg&token {/vg&string exch def /vg&index -1 def /vg&level 0 def 0 2 vg&string length 2 sub { dup dup 1 add exch vg&string exch get 8 bitshift vg&string 3 -1 roll get or dup 16#f0fe eq {pop 1}{16#f0ff eq {-1}{0} ifelse} ifelse /vg&level exch vg&level add def vg&level 0 eq {/vg&index exch def exit} if pop } for vg&index 0 ge { vg&string vg&index 2 add dup vg&string length exch sub getinterval vg&index 2 gt {vg&string 2 vg&index 2 sub getinterval}{()} ifelse true} {false} ifelse } bind def % Recursively show an unicode string. % <string> recshow -- /recshow { popfirst { % Test to see if this is a string attribute. vg&fbyte 16#f0 and 16#e0 eq { q % Font style. currentfont dup /FontStyleBits known {/FontStyleBits get}{pop 0} ifelse vg&cbyte or vg&fontstyles exch get fontsize exch exec vg&token pop recshow currentpoint Q m recshow } { vg&fbyte 16#F8 and 16#F0 eq { % Superscript and/or subscript. vg&cbyte 16#00 eq { vg&token pop exch vg&token pop 3 -1 roll q raise recshow unraise currentpoint pop Q exch q lower recshow unlower currentpoint pop Q maxval currentpoint exch pop m recshow } if % Strikeout. vg&cbyte 16#01 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick w currentpoint 4 -2 roll fontsize 3 div add moveto fontsize 3 div add lineto internalstroke Q recshow} if % Underline. vg&cbyte 16#02 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Dashed underline. vg&cbyte 16#03 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J [ vg&uthick 5 mul vg&uthick 2 mul] 0 d vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Dotted underline. vg&cbyte 16#04 eq { vg&token pop currentpoint 3 -1 roll recshow q 1 J [ 0 vg&uthick 3 mul] 0 d vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Thick underline. vg&cbyte 16#05 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick 2 mul w currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q recshow} if % Gray thick underline. vg&cbyte 16#06 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick 2 mul w 0.5 setgray currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q recshow} if % Overbar. vg&cbyte 16#07 eq { vg&token pop dup stringsize relative 4 1 roll pop pop exch 3 -1 roll recshow q 0 J vg&underline vg&uthick w vg&uoffset neg add dup currentpoint pop exch m l internalstroke Q recshow} if } { vg&fbyte vg&cbyte unicharshow recshow } ifelse } ifelse } if } def % Get the underline position and thickness from the current font. /vg&underline { currentfont dup /FontType get 0 eq {/FDepVector get 0 get} if dup dup /FontInfo known { /FontInfo get dup dup /UnderlinePosition known { /UnderlinePosition get /vg&uoffset exch def } { pop /vg&uoffset 0 def } ifelse dup /UnderlineThickness known { /UnderlineThickness get /vg&uthick exch def } { pop /vg&uthick 0 def } ifelse } { pop /vg&uoffset 0 def /vg&uthick 0 def } ifelse /FontMatrix get currentfont dup /FontType get 0 eq {/FontMatrix get matrix concatmatrix}{pop} ifelse dup 0 vg&uoffset 3 -1 roll transform /vg&uoffset exch def pop 0 vg&uthick 3 -1 roll transform /vg&uthick exch def pop } def % Make a frame with the coordinates on the stack. % <llx> <lly> <urx> <ury> frame -- /frame {4 copy m 3 1 roll exch l 4 -2 roll l l h} def % Resets the accumulated bounding box to a degenerate box at the % current point. % -- resetbbox -- /resetbbox { currentpoint 2 copy /bbury exch def /bburx exch def /bblly exch def /bbllx exch def } def % Update the accumulated bounding box. % <llx'> <lly'> <urx'> <ury'> updatebbox -- /updatebbox { dup bbury gt {/bbury exch def} {pop} ifelse dup bburx gt {/bburx exch def} {pop} ifelse dup bblly lt {/bblly exch def} {pop} ifelse dup bbllx lt {/bbllx exch def} {pop} ifelse } def % Set the bounding box to the values on the stack. % <llx'> <lly'> <urx'> <ury'> updatebbox -- /restorebbox { /bbury exch def /bburx exch def /bblly exch def /bbllx exch def } def % Push the accumulated bounding box onto the stack. % -- pushbbox <llx> <lly> <urx> <ury> /pushbbox {bbllx bblly bburx bbury} def % Make the relative bounding box relative to the currentpoint. % <llx'> <lly'> <urx'> <ury'> inflate <llx> <lly> <urx> <ury> /inflate { 2 {fontsize 0.2 mul add 4 1 roll} repeat 2 {fontsize 0.2 mul sub 4 1 roll} repeat } def % Make the relative bounding box relative to the currentpoint. % <llx'> <lly'> <urx'> <ury'> relative <llx> <lly> <urx> <ury> /relative { currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll } def % Returns the size of a string appropriate for recshow. % <string> stringsize <llx> <lly> <urx> <ury> /stringsize { pushbbox /internalshow load /internalstroke load 7 -1 roll q nulldevice 0 0 m nullinternalshow nullinternalstroke resetbbox recshow /internalstroke exch def /internalshow exch def pushbbox 8 -4 roll restorebbox Q } def % Calculate values for string positioning. /calcval {4 copy 3 -1 roll sub /widy exch def sub neg /widx exch def pop pop /dy exch def /dx exch def} def % Utilities to position a string. % First letter (U=upper, C=center, B=baseline, L=lower) % Second letter (L=left, C=center, R=right) /align [ {calcval dx neg widy dy add neg rmoveto} % UL {calcval dx neg widy 2 div dy add neg rmoveto} % CL {calcval dx neg 0 rmoveto} % BL {calcval dx neg dy neg rmoveto} % LL {calcval widx dx add neg widy dy add neg rmoveto} % UR {calcval widx dx add neg widy 2 div dy add neg rmoveto} % CR {calcval widx dx add neg 0 rmoveto} % BR {calcval widx dx add neg dy neg rmoveto} % LR {calcval widx 2 div dx add neg widy dy add neg rmoveto} % UC {calcval widx 2 div dx add neg widy 2 div dy add neg rmoveto} % CC {calcval widx 2 div dx add neg 0 rmoveto} % BC {calcval widx 2 div dx add neg dy neg rmoveto} % LC ] def /vg&str {m q 1 -1 scale dup stringsize 4 copy align 11 -1 roll get exec q inflate relative frame exch exec Q recshow Q} def end /procDict exch def %%EndProlog %%BeginSetup save procDict begin printColorMap begin 595 791 setpagesize 20 20 20 20 setmargins 0 0 setorigin 400 400 setsize fittopage portrait imagescale cliptobounds setbasematrix /Helvetica 10 sf defaultGraphicsState %%EndSetup 0 0 0 RG [ 1.00000 0 0 1.00000 0 0 ] defaultmatrix matrix concatmatrix setmatrix cliprestore 1.00000 1.00000 1.00000 RG newpath 0 0 m 400.000 0 l 400.000 400.000 l 0 400.000 l 0 0 l h f 0 0 0 RG 0 J 1 j [ 1.00000 0 0 1.00000 0 0 ] concat [ 1.00000 0 0 1.00000 0 0 ] concat q [ 1.00000 0 0 1.00000 5.00000 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Redefinitions which save some space in the output file. These are also % the same as the PDF operators. /q {gsave} def /Q {grestore} def /n {newpath} def /m {moveto} def /l {lineto} def /c {curveto} def /h {closepath} def /re {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} def /f {fill} def /f* {eofill} def /F {gsave vg&FC fill grestore} def /F* {gsave vg&FC eofill grestore} def /s {closepath stroke} def /S {stroke} def /b {closepath gsave vg&FC fill grestore gsave stroke grestore newpath} def /B {gsave vg&FC fill grestore gsave stroke grestore newpath} def /b* {closepath gsave vg&FC eofill grestore gsave stroke grestore newpath} def /B* {gsave vg&FC eofill grestore gsave stroke grestore newpath} def /g {1 array astore /vg&fcolor exch def} def /G {setgray} def /k {4 array astore /vg&fcolor exch def} def /K {setcmykcolor} def /rg {3 array astore /vg&fcolor exch def} def /RG {setrgbcolor} def % Initialize the fill color. 0 0 0 rg /vg&FC {mark vg&fcolor aload pop counttomark 1 eq {G} if counttomark 3 eq {RG} if counttomark 4 eq {K} if cleartomark } def /vg&DFC {/vg&fcolor exch def} def /vg&C {mark exch aload pop counttomark 1 eq {G} if counttomark 3 eq {RG} if counttomark 4 eq {K} if cleartomark } def /w {setlinewidth} def /j {setlinejoin} def /J {setlinecap} def /M {setmiterlimit} def /d {setdash} def /i {setflat} def /W {clip} def /W* {eoclip} def % Setup the default graphics state. % (black; 1 pt. linewidth; miter join; butt-ends; solid) /defaultGraphicsState {0 g 1 w 0 j 0 J [] 0 d} def % Emulation of the rectangle operators for PostScript implementations % which do not implement all Level 2 features. This is an INCOMPLETE % emulation; only the "x y width height rect..." form is emulated. /*rf {gsave newpath re fill grestore} def /*rs {gsave newpath re stroke grestore} def /*rc {newpath re clip} def /rf /rectfill where {pop /rectfill}{/*rf} ifelse load def /rs /rectstroke where {pop /rectstroke}{/*rs} ifelse load def /rc /rectclip where {pop /rectclip}{/*rc} ifelse load def % Emulation of the selectfont operator. This includes a 20% increase in % the fontsize which is necessary to get sizes similar to the Java fonts. /*sf {exch findfont exch dup type /arraytype eq {makefont}{scalefont} ifelse setfont} bind def /sf /selectfont where {pop {1.2 mul selectfont}}{{1.2 mul *sf}} ifelse def % Special version of stroke which allows the dash pattern to continue % across path segments. 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(x0 y0 x1 y1 line) /L {bias n m l S unbias} def % Polyline primitive. /polyline {n m 1 exch 1 exch {pop currentfile token pop currentfile token pop l} for } def % Draw a polyline (n x0 y0 OPL x1 y1 x2 y2 ... ... xn yn) /OPL {bias polyline S unbias} def % Draw a closed polyline (n x0 y0 CPL x1 y1 x2 y2 ... ... xn yn) /CPL {bias polyline s unbias} def % Draw a filled polyline (n x0 y0 FPL x1 y1 x2 y2 ... ... xn yn) /FPL {polyline h f*} def % Draw an oval. (x y w h OVL) /OVL {matrix currentmatrix /smatrix exch def /height exch def /width exch def /yv exch def /xv exch def width 2 div xv add height 2 div yv add translate width currentlinewidth sub 2 div height currentlinewidth sub 2 div neg scale n 0 0 1 5 -2 roll arc smatrix setmatrix S} def % Draw a filled oval. (x y w h FOVL) /FOVL {matrix currentmatrix /smatrix exch def /height exch def /width exch def /yv exch def /xv exch def width 2 div xv add height 2 div yv add translate width 2 div height 2 div neg scale n 0 0 m 0 0 1 5 -2 roll arc h smatrix setmatrix f} def % Draw a rounded rectangle. (x y w h arcwidth archeight RREC) /RREC {matrix currentmatrix /smatrix exch def 2 div /ah exch def 2 div /aw exch def /height exch def /width exch def /yv exch def /xv exch def aw ah scale matrix currentmatrix /nmatrix exch def smatrix setmatrix n xv width add aw sub yv m nmatrix setmatrix currentpoint exch 1 add exch currentpoint 1 add exch 1 add exch 1 arct smatrix setmatrix xv width add yv height add ah sub l nmatrix setmatrix currentpoint 1 add currentpoint exch 1 sub exch 1 add 1 arct smatrix setmatrix xv aw add yv height add l nmatrix setmatrix currentpoint exch 1 sub exch currentpoint exch 1 sub exch 1 sub 1 arct smatrix setmatrix xv yv ah add l nmatrix setmatrix currentpoint 1 sub currentpoint exch 1 add exch 1 sub 1 arct smatrix setmatrix s} def % Draw a filled rounded rectangle. (x y w h arcwidth archeight FRREC) /FRREC{matrix currentmatrix /smatrix exch def 2 div /ah exch def 2 div /aw exch def /height exch def /width exch def /yv exch def /xv exch def aw ah scale matrix currentmatrix /nmatrix exch def smatrix setmatrix n xv width add aw sub yv m nmatrix setmatrix currentpoint exch 1 add exch currentpoint 1 add exch 1 add exch 1 arct smatrix setmatrix xv width add yv height add ah sub l nmatrix setmatrix currentpoint 1 add currentpoint exch 1 sub exch 1 add 1 arct smatrix setmatrix xv aw add yv height add l nmatrix setmatrix currentpoint exch 1 sub exch currentpoint exch 1 sub exch 1 sub 1 arct smatrix setmatrix xv yv ah add l nmatrix setmatrix currentpoint 1 sub currentpoint exch 1 add exch 1 sub 1 arct smatrix setmatrix h f} def % Draw a string. (string x y STR) /STR {q m 1 -1 scale recshow Q} def % Define basic plot symbols. /xys {/siz exch def /yv exch def /xv exch def} def /hline {xys n xv siz 2. div sub yv m siz 0 rlineto S} def /vline {xys n xv yv siz 2. div sub m 0 siz rlineto S} def /plus {xys n xv yv siz 2. div sub m 0 siz rlineto xv siz 2. div sub yv m siz 0 rlineto S} def /dot {n 2. div 0 360 arc s} def /fdot {n 2. div 0 360 arc h f} def /box {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub siz 2 sqrt div dup rs} def /fbox {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub siz 2 sqrt div dup rf} def /tridn{xys n xv yv siz 3 sqrt div add m siz 2. div neg 3 sqrt 2. div siz mul neg rlineto siz 0 rlineto s} def /ftridn{xys n xv yv siz 3 sqrt div add m siz 2. div neg 3 sqrt 2. div siz mul neg rlineto siz 0 rlineto h f} def % Symbols defined in terms of the others. /star {3 copy cross plus} def /cross {xys q xv yv translate 45 rotate 0 0 siz plus Q} def /diamond {xys q xv yv translate 45 rotate 0 0 siz box Q} def /fdiamond {xys q xv yv translate 45 rotate 0 0 siz fbox Q} def /triup {xys q xv yv translate 180 rotate 0 0 siz tridn Q} def /ftriup {xys q xv yv translate 180 rotate 0 0 siz ftridn Q} def % Define the composite fonts used to print Unicode strings. % Undefine particular values in an encoding array. /vg&undef { {exch dup 3 -1 roll /.notdef put} forall } def /vg&redef { {3 -1 roll dup 4 2 roll put} forall } def % usage: key encoding basefontname vg&newbasefont font /vg&newbasefont { findfont dup length dict copy begin currentdict /FID undef /Encoding exch def dup /FontName exch def currentdict end definefont } def % usage: key encoding basefontname vg&newskewedbasefont font /vg&newskewedbasefont { findfont dup length dict copy begin currentdict /FID undef /Encoding exch def dup /FontName exch def exch FontMatrix exch matrix concatmatrix /FontMatrix exch def currentdict end definefont } def % usage: basekey suffix vg&nconcat name /vg&nconcat { 2 {dup length string cvs exch} repeat dup length 3 -1 roll dup length 3 -1 roll add string dup 0 4 -1 roll dup length 5 1 roll putinterval dup 4 -2 roll exch putinterval cvn } def %usage: fontname vg&skewmatrix matrix /vg&skewmatrix { findfont dup /FontInfo known { /FontInfo get dup /ItalicAngle known { [ 1 0 4 -1 roll /ItalicAngle get neg dup sin exch cos div 1 0 0 ] } {pop matrix} ifelse } {pop matrix} ifelse } def % usage: newfontname basefontname vg&newcompositefont -- /vg&newcompositefont { /vg&fstyle exch def /vg&bfont exch def /vg&fname exch def << /FontStyleBits vg&fstyle /FontType 0 /FontMatrix matrix /FontName vg&fname /FMapType 2 /Encoding [ 0 1 255 {pop 6} for ] dup 16#00 0 put % Latin dup 16#03 1 put % Greek dup 16#20 2 put % Punctuation dup 16#21 3 put % Arrows dup 16#22 4 put % MathOps dup 16#27 5 put % Dingbats /FDepVector [ vg&bfont /-UC-Latin vg&nconcat UCLatinEncoding vg&bfont vg&newbasefont vg&bfont vg&skewmatrix vg&bfont /-UC-Greek vg&nconcat UCGreekEncoding /Symbol vg&newskewedbasefont vg&bfont /-UC-Punctuation vg&nconcat UCPunctuationEncoding vg&bfont vg&newbasefont /Arrows-UC findfont /MathOps-UC findfont /Dingbats-UC findfont /Undefined-UC findfont ] >> vg&fname exch definefont pop } def % Null encoding vector (all elements set to .notdef) /NullEncoding [ 256 {/.notdef} repeat ] def % Unicode Latin encoding (unicode codes \u0000-\u00ff) /UCLatinEncoding ISOLatin1Encoding dup length array copy dup 16#60 /grave put [ 16#90 16#91 16#92 16#93 16#94 16#95 16#96 16#97 16#98 16#9a 16#9b 16#9d 16#9e 16#9f ] vg&undef def % Unicode Greek encoding (unicode codes \u0370-\u03ff) /UCGreekEncoding NullEncoding dup length array copy << 16#91 /Alpha 16#92 /Beta 16#93 /Gamma 16#94 /Delta 16#95 /Epsilon 16#96 /Zeta 16#97 /Eta 16#98 /Theta 16#99 /Iota 16#9a /Kappa 16#9b /Lambda 16#9c /Mu 16#9d /Nu 16#9e /Xi 16#9f /Omicron 16#a0 /Pi 16#a1 /Rho 16#a3 /Sigma 16#a4 /Tau 16#a5 /Upsilon 16#a6 /Phi 16#a7 /Chi 16#a8 /Psi 16#a9 /Omega 16#b1 /alpha 16#b2 /beta 16#b3 /gamma 16#b4 /delta 16#b5 /epsilon 16#b6 /zeta 16#b7 /eta 16#b8 /theta 16#b9 /iota 16#ba /kappa 16#bb /lambda 16#bc /mu 16#bd /nu 16#be /xi 16#bf /omicron 16#c0 /pi 16#c1 /rho 16#c2 /sigma1 16#c3 /sigma 16#c4 /tau 16#c5 /upsilon 16#c6 /phi1 16#c7 /chi 16#c8 /psi 16#c9 /omega 16#7e /semicolon 16#87 /dotmath 16#d1 /theta1 16#d2 /Upsilon1 16#d5 /phi 16#d6 /omega1 >> vg&redef def % Unicode punctuation encoding (unicode codes \u2000-\u206f) /UCPunctuationEncoding NullEncoding dup length array copy << 16#10 /hyphen 16#11 /hyphen 16#12 /endash 16#13 /emdash 16#18 /quoteleft 16#19 /quoteright 16#1a /quotesinglbase 16#1b /quotesingle 16#1c /quotedblleft 16#1d /quotedblright 16#1e /quotedblbase 16#1f /quotedbl 16#20 /dagger 16#21 /daggerdbl 16#22 /bullet 16#24 /period 16#26 /ellipsis 16#27 /periodcentered 16#30 /perthousand 16#44 /fraction 16#70 /zerosuperior 16#74 /foursuperior 16#75 /fivesuperior 16#76 /sixsuperior 16#77 /sevensuperior 16#78 /eightsuperior 16#79 /ninesuperior 16#7b /hyphensuperior 16#7d /parenleftsuperior 16#7e /parenrightsuperior 16#80 /zeroinferior 16#84 /fourinferior 16#85 /fiveinferior 16#81 /oneinferior 16#82 /twoinferior 16#83 /threeinferior 16#86 /sixinferior 16#87 /seveninferior 16#88 /eightinferior 16#89 /nineinferior 16#8b /hypheninferior 16#8d /parenleftinferior 16#8e /parenrightinferior >> vg&redef def % Unicode mathematical operators encoding (unicode codes \u2200-\u22ff) /UCMathOpsEncoding NullEncoding dup length array copy << 16#00 /universal 16#02 /partialdiff 16#03 /existential 16#05 /emptyset 16#06 /Delta 16#07 /gradient 16#08 /element 16#09 /notelement 16#0b /suchthat 16#0f /product 16#11 /summation 16#12 /minus 16#15 /fraction 16#17 /asteriskmath 16#19 /bullet 16#1a /radical 16#1d /proportional 16#1e /infinity 16#20 /angle 16#23 /bar 16#27 /logicaland 16#28 /logicalor 16#29 /intersection 16#2a /union 16#2b /integral 16#34 /therefore 16#36 /colon 16#3c /similar 16#45 /congruent 16#48 /approxequal 16#60 /notequal 16#61 /equivalence 16#64 /lessequal 16#65 /greaterequal 16#82 /propersubset 16#83 /propersuperset 16#86 /reflexsubset 16#87 /reflexsuperset 16#95 /circleplus 16#97 /circlemultiply 16#a5 /perpendicular 16#03 /existential 16#c0 /logicaland 16#c1 /logicalor 16#c2 /intersection 16#c3 /union 16#c4 /diamond 16#c5 /dotmath >> vg&redef def % Unicode arrows encoding (unicode codes \u2190-\u21ff) % Also includes those "Letterlike" unicode characters % which are available in the symbol font. (unicode codes \u2100-\u214f) /UCArrowsEncoding NullEncoding dup length array copy << 16#11 /Ifraktur 16#1c /Rfraktur 16#22 /trademarkserif 16#35 /aleph 16#90 /arrowleft 16#91 /arrowup 16#92 /arrowright 16#93 /arrowdown 16#94 /arrowboth 16#d0 /arrowdblleft 16#d1 /arrowdblup 16#d2 /arrowdblright 16#d3 /arrowdbldown 16#d4 /arrowdblboth >> vg&redef def /ZapfDingbats findfont /Encoding get dup length array copy /UCDingbatsEncoding exch def 16#20 1 16#7f { dup 16#20 sub exch UCDingbatsEncoding exch get UCDingbatsEncoding 3 1 roll put } for 16#a0 1 16#ff { dup 16#40 sub exch UCDingbatsEncoding exch get UCDingbatsEncoding 3 1 roll put } for UCDingbatsEncoding [ 16#c0 1 16#ff {} for ] vg&undef [ 16#00 16#05 16#0a 16#0b 16#28 16#4c 16#4e 16#53 16#54 16#55 16#57 16#5f 16#60 16#68 16#69 16#6a 16#6b 16#6c 16#6d 16#6e 16#6f 16#70 16#71 16#72 16#73 16#74 16#75 16#95 16#96 16#97 16#b0 16#bf ] vg&undef pop % Define the base fonts which don't change. /Undefined-UC NullEncoding /Helvetica vg&newbasefont pop /MathOps-UC UCMathOpsEncoding /Symbol vg&newbasefont pop /Arrows-UC UCArrowsEncoding /Symbol vg&newbasefont pop /Dingbats-UC UCDingbatsEncoding /ZapfDingbats vg&newbasefont pop % Make the SansSerif composite fonts. /SansSerif /Helvetica 16#00 vg&newcompositefont /SansSerif-Bold /Helvetica-Bold 16#01 vg&newcompositefont /SansSerif-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /SansSerif-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the Serif composite fonts. /Serif /Times-Roman 16#00 vg&newcompositefont /Serif-Bold /Times-Bold 16#01 vg&newcompositefont /Serif-Italic /Times-Italic 16#02 vg&newcompositefont /Serif-BoldItalic /Times-BoldItalic 16#03 vg&newcompositefont % Make the Monospaced composite fonts. /Monospaced /Courier 16#00 vg&newcompositefont /Monospaced-Bold /Courier-Bold 16#01 vg&newcompositefont /Monospaced-Italic /Courier-Oblique 16#02 vg&newcompositefont /Monospaced-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont % Make the Dialog composite fonts. /Dialog /Helvetica 16#00 vg&newcompositefont /Dialog-Bold /Helvetica-Bold 16#01 vg&newcompositefont /Dialog-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /Dialog-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the DialogInput composite fonts. /DialogInput /Helvetica 16#00 vg&newcompositefont /DialogInput-Bold /Helvetica-Bold 16#01 vg&newcompositefont /DialogInput-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /DialogInput-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the Typewriter composite fonts (JDK 1.1 only). /Typewriter /Courier 16#00 vg&newcompositefont /Typewriter-Bold /Courier-Bold 16#01 vg&newcompositefont /Typewriter-Italic /Courier-Oblique 16#02 vg&newcompositefont /Typewriter-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont /cfontH { dup /fontsize exch def /SansSerif exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHB { dup /fontsize exch def /SansSerif-Bold exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHI { dup /fontsize exch def /SansSerif-Italic exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHBI { dup /fontsize exch def /SansSerif-BoldItalic exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontT { dup /fontsize exch def /Serif exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTB { dup /fontsize exch def /Serif-Bold exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTI { dup /fontsize exch def /Serif-Italic exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTBI { dup /fontsize exch def /Serif-BoldItalic exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontC { dup /fontsize exch def /Typewriter exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCB { dup /fontsize exch def /Typewriter-Bold exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCI { dup /fontsize exch def /Typewriter-Italic exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCBI { dup /fontsize exch def /Typewriter-BoldItalic exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def % Darken or lighten the current color. /darken {0.7 exch exp 3 copy q 4 -1 roll vg&C currentrgbcolor 3 {4 -2 roll mul} repeat 3 array astore Q} def /displayColorMap << /Cr [1.00 0.00 0.00] /Cg [0.00 1.00 0.00] /Cb [0.00 0.00 1.00] /Cc [1.00 0.00 0.00 0.00] /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] /Cw [1 ] /Cgrl [0.75] /Cgr [0.50] /Cgrd [0.25] /Ck [0 ] /CGr [1.00 0.00 0.00] /CGg [0.00 1.00 0.00] /CGb [0.00 0.00 1.00] /CGc [1.00 0.00 0.00 0.00] /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] /CGw [1 ] /CGgrl [0.75] /CGgr [0.50] /CGgrd [0.25] /CGk [0 ] /CIr [1.00 0.00 0.00] /CIg [0.00 1.00 0.00] /CIb [0.00 0.00 1.00] /CIc [1.00 0.00 0.00 0.00] /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] /CIw [1 ] /CIgrl [0.75] /CIgr [0.50] /CIgrd [0.25] /CIk [0 ] >> def /printColorMap << /Cr [1.00 0.33 0.33] /Cg [0.33 1.00 0.33] /Cb [0.33 0.33 1.00] /Cc [1.00 0.00 0.00 0.00] /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] /Cw [1 ] /Cgrl [0.75] /Cgr [0.50] /Cgrd [0.25] /Ck [0 ] /CGr [1.00 0.33 0.33] /CGg [0.33 1.00 0.33] /CGb [0.33 0.33 1.00] /CGc [1.00 0.00 0.00 0.00] /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] /CGw [1 ] /CGgrl [0.75] /CGgr [0.50] /CGgrd [0.25] /CGk [0 ] /CIr [1.00 0.33 0.33] /CIg [0.33 1.00 0.33] /CIb [0.33 0.33 1.00] /CIc [1.00 0.00 0.00 0.00] /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] /CIw [1 ] /CIgrl [0.75] /CIgr [0.50] /CIgrd [0.25] /CIk [0 ] >> def /grayColorMap << /Cr [0 ] /Cg [0 ] /Cb [0 ] /Cc [0 ] /Cm [0 ] /Cy [0 ] /Co [0 ] /Cp [0 ] /Cw [0 ] /Cgrl [0 ] /Cgr [0 ] /Cgrd [0 ] /Ck [0 ] /CGr [0.75] /CGg [1 ] /CGb [0.50] /CGc [0.75] /CGm [0.50] /CGy [1 ] /CGo [0.75] /CGp [1 ] /CGw [0 ] /CGgrl [0.25] /CGgr [0.50] /CGgrd [0.75] /CGk [1 ] /CIr [1 ] /CIg [1 ] /CIb [1 ] /CIc [1 ] /CIm [1 ] /CIy [1 ] /CIo [1 ] /CIp [1 ] /CIw [1 ] /CIgrl [1 ] /CIgr [1 ] /CIgrd [1 ] /CIk [1 ] >> def /bwColorMap << /Cr [0 ] /Cg [0 ] /Cb [0 ] /Cc [0 ] /Cm [0 ] /Cy [0 ] /Co [0 ] /Cp [0 ] /Cw [0 ] /Cgrl [0 ] /Cgr [0 ] /Cgrd [0 ] /Ck [0 ] /CGr [1 ] /CGg [1 ] /CGb [1 ] /CGc [1 ] /CGm [1 ] /CGy [1 ] /CGo [1 ] /CGp [1 ] /CGw [0 ] /CGgrl [1 ] /CGgr [1 ] /CGgrd [1 ] /CGk [1 ] /CIr [1 ] /CIg [1 ] /CIb [1 ] /CIc [1 ] /CIm [1 ] /CIy [1 ] /CIo [1 ] /CIp [1 ] /CIw [1 ] /CIgrl [1 ] /CIgr [1 ] /CIgrd [1 ] /CIk [1 ] >> def % % The following routines handle the alignment of and printing of % tagged strings. % % Predefine the bounding box values. /bbllx 0 def /bblly 0 def /bburx 0 def /bbury 0 def % This routine pops the first unicode character off of a string and returns % the remainder of the string, the character code of first character, % and a "true" if the string was non-zero length. % <string> popfirst <remaining string> <true> % <null string> popfirst <false> /popfirst { dup length 1 gt {dup 0 get /vg&fbyte exch def dup 1 get /vg&cbyte exch def dup length 2 sub 2 exch getinterval true} {pop false} ifelse } def % This routine shows a single unicode character given the font and % character codes. % <font code> <char code> unicharshow -- /unicharshow { 2 string dup 0 5 -1 roll put dup 1 4 -1 roll put internalshow } def % This is an internal routine to alternate between determining the % bounding box for stringsize and showing the string for recshow. % <string> internalshow -- /internalshow {show} def % This is an internal routine to alternate between determining the % bounding box for stringsize and stroking various ornaments. % <string> internalstroke -- /internalstroke {S} def % Sets up internalshow to use the null device to determine string size. % -- nullinternalshow -- /nullinternalshow {/internalshow {false charpath flattenpath pathbbox updatebbox} def} def % Sets up internalstroke to use the null device to determine string size. % -- nullinternalstroke -- /nullinternalstroke { /internalstroke {flattenpath pathbbox updatebbox} def} def % This routine tests to see if the character code matches the first % character of a string. % <char code> <string> testchar <char code> <true or false> /testchar {exch dup 3 -1 roll 0 get eq} def % Raise the text baseline for superscripts. % -- raise -- /raise { 0 fontsize 2 div rmoveto /fontsize fontsize 2 mul 3 div def currentfont /FontName get fontsize sf } def % Un-raise the text baseline for superscripts. % -- unraise -- /unraise { /fontsize fontsize 1.5 mul def 0 fontsize 2 div neg rmoveto } def % Lower the text baseline for subscripts. % -- lower -- /lower { 0 fontsize 3 div neg rmoveto /fontsize fontsize 2 mul 3 div def currentfont /FontName get fontsize sf } def % Un-lower the text baseline for subscripts. % -- unlower -- /unlower { /fontsize fontsize 1.5 mul def 0 fontsize 3 div rmoveto } def % Compare the top two elements on the stack and leave only the % larger one. /maxval {2 copy gt {pop} {exch pop} ifelse} def % Tokenize a string. Do not use the usual PostScript token because % parentheses will not be interpreted correctly because of rescanning % of the string. /vg&token {/vg&string exch def /vg&index -1 def /vg&level 0 def 0 2 vg&string length 2 sub { dup dup 1 add exch vg&string exch get 8 bitshift vg&string 3 -1 roll get or dup 16#f0fe eq {pop 1}{16#f0ff eq {-1}{0} ifelse} ifelse /vg&level exch vg&level add def vg&level 0 eq {/vg&index exch def exit} if pop } for vg&index 0 ge { vg&string vg&index 2 add dup vg&string length exch sub getinterval vg&index 2 gt {vg&string 2 vg&index 2 sub getinterval}{()} ifelse true} {false} ifelse } bind def % Recursively show an unicode string. % <string> recshow -- /recshow { popfirst { % Test to see if this is a string attribute. vg&fbyte 16#f0 and 16#e0 eq { q % Font style. currentfont dup /FontStyleBits known {/FontStyleBits get}{pop 0} ifelse vg&cbyte or vg&fontstyles exch get fontsize exch exec vg&token pop recshow currentpoint Q m recshow } { vg&fbyte 16#F8 and 16#F0 eq { % Superscript and/or subscript. vg&cbyte 16#00 eq { vg&token pop exch vg&token pop 3 -1 roll q raise recshow unraise currentpoint pop Q exch q lower recshow unlower currentpoint pop Q maxval currentpoint exch pop m recshow } if % Strikeout. vg&cbyte 16#01 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick w currentpoint 4 -2 roll fontsize 3 div add moveto fontsize 3 div add lineto internalstroke Q recshow} if % Underline. vg&cbyte 16#02 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Dashed underline. vg&cbyte 16#03 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J [ vg&uthick 5 mul vg&uthick 2 mul] 0 d vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Dotted underline. vg&cbyte 16#04 eq { vg&token pop currentpoint 3 -1 roll recshow q 1 J [ 0 vg&uthick 3 mul] 0 d vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Thick underline. vg&cbyte 16#05 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick 2 mul w currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q recshow} if % Gray thick underline. vg&cbyte 16#06 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick 2 mul w 0.5 setgray currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q recshow} if % Overbar. vg&cbyte 16#07 eq { vg&token pop dup stringsize relative 4 1 roll pop pop exch 3 -1 roll recshow q 0 J vg&underline vg&uthick w vg&uoffset neg add dup currentpoint pop exch m l internalstroke Q recshow} if } { vg&fbyte vg&cbyte unicharshow recshow } ifelse } ifelse } if } def % Get the underline position and thickness from the current font. /vg&underline { currentfont dup /FontType get 0 eq {/FDepVector get 0 get} if dup dup /FontInfo known { /FontInfo get dup dup /UnderlinePosition known { /UnderlinePosition get /vg&uoffset exch def } { pop /vg&uoffset 0 def } ifelse dup /UnderlineThickness known { /UnderlineThickness get /vg&uthick exch def } { pop /vg&uthick 0 def } ifelse } { pop /vg&uoffset 0 def /vg&uthick 0 def } ifelse /FontMatrix get currentfont dup /FontType get 0 eq {/FontMatrix get matrix concatmatrix}{pop} ifelse dup 0 vg&uoffset 3 -1 roll transform /vg&uoffset exch def pop 0 vg&uthick 3 -1 roll transform /vg&uthick exch def pop } def % Make a frame with the coordinates on the stack. % <llx> <lly> <urx> <ury> frame -- /frame {4 copy m 3 1 roll exch l 4 -2 roll l l h} def % Resets the accumulated bounding box to a degenerate box at the % current point. % -- resetbbox -- /resetbbox { currentpoint 2 copy /bbury exch def /bburx exch def /bblly exch def /bbllx exch def } def % Update the accumulated bounding box. % <llx'> <lly'> <urx'> <ury'> updatebbox -- /updatebbox { dup bbury gt {/bbury exch def} {pop} ifelse dup bburx gt {/bburx exch def} {pop} ifelse dup bblly lt {/bblly exch def} {pop} ifelse dup bbllx lt {/bbllx exch def} {pop} ifelse } def % Set the bounding box to the values on the stack. % <llx'> <lly'> <urx'> <ury'> updatebbox -- /restorebbox { /bbury exch def /bburx exch def /bblly exch def /bbllx exch def } def % Push the accumulated bounding box onto the stack. % -- pushbbox <llx> <lly> <urx> <ury> /pushbbox {bbllx bblly bburx bbury} def % Make the relative bounding box relative to the currentpoint. % <llx'> <lly'> <urx'> <ury'> inflate <llx> <lly> <urx> <ury> /inflate { 2 {fontsize 0.2 mul add 4 1 roll} repeat 2 {fontsize 0.2 mul sub 4 1 roll} repeat } def % Make the relative bounding box relative to the currentpoint. % <llx'> <lly'> <urx'> <ury'> relative <llx> <lly> <urx> <ury> /relative { currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll currentpoint 3 -1 roll add 3 1 roll add exch 4 2 roll } def % Returns the size of a string appropriate for recshow. % <string> stringsize <llx> <lly> <urx> <ury> /stringsize { pushbbox /internalshow load /internalstroke load 7 -1 roll q nulldevice 0 0 m nullinternalshow nullinternalstroke resetbbox recshow /internalstroke exch def /internalshow exch def pushbbox 8 -4 roll restorebbox Q } def % Calculate values for string positioning. /calcval {4 copy 3 -1 roll sub /widy exch def sub neg /widx exch def pop pop /dy exch def /dx exch def} def % Utilities to position a string. % First letter (U=upper, C=center, B=baseline, L=lower) % Second letter (L=left, C=center, R=right) /align [ {calcval dx neg widy dy add neg rmoveto} % UL {calcval dx neg widy 2 div dy add neg rmoveto} % CL {calcval dx neg 0 rmoveto} % BL {calcval dx neg dy neg rmoveto} % LL {calcval widx dx add neg widy dy add neg rmoveto} % UR {calcval widx dx add neg widy 2 div dy add neg rmoveto} % CR {calcval widx dx add 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[ 1.00000 0 0 1.00000 0 0 ] concat [ 1.00000 0 0 1.00000 0 0 ] concat cliprestore 2 J 0 j end end restore showpage %%Trailer %%EOF %%EndDocument @endspecial 1653 x @beginspecial 0 @angle 35 @hscale 35 @vscale 240 @hoffset -62 @voffset @setspecial %%BeginDocument: sound22.eps %!PS-Adobe-3.0 EPSF-3.0 %%BoundingBox: 20 118 575 673 %%Creator: FreeHEP Graphics2D Driver %%Producer: com.maplesoft.mathdoc.view.plot.paint.PlotPSGraphics2D Revision: 12753 %%For: %%Title: %%CreationDate: Wednesday, October 5, 2011 9:16:40 AM IRST %%LanguageLevel: 3 %%EndComments %%BeginProlog 100 dict dup begin % % File: org/freehep/graphicsio.ps/PSProlog.txt % Author: Charles Loomis % % Redefinitions which save some space in the output file. These are also % the same as the PDF operators. /q {gsave} def /Q {grestore} def /n {newpath} def /m {moveto} def /l {lineto} def /c {curveto} def /h {closepath} def /re {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto closepath} def /f {fill} def /f* {eofill} def /F {gsave vg&FC fill grestore} def /F* {gsave vg&FC eofill grestore} def /s {closepath stroke} def /S {stroke} def /b {closepath gsave vg&FC fill grestore gsave stroke grestore newpath} def /B {gsave vg&FC fill grestore gsave stroke grestore newpath} def /b* {closepath gsave vg&FC eofill grestore gsave stroke grestore newpath} def /B* {gsave vg&FC eofill grestore gsave stroke grestore newpath} def /g {1 array astore /vg&fcolor exch def} def /G {setgray} def /k {4 array astore /vg&fcolor exch def} def /K {setcmykcolor} def /rg {3 array astore /vg&fcolor exch def} def /RG {setrgbcolor} def % Initialize the fill color. 0 0 0 rg /vg&FC {mark vg&fcolor aload pop counttomark 1 eq {G} if counttomark 3 eq {RG} if counttomark 4 eq {K} if cleartomark } def /vg&DFC {/vg&fcolor exch def} def /vg&C {mark exch aload pop counttomark 1 eq {G} if counttomark 3 eq {RG} if counttomark 4 eq {K} if cleartomark } def /w {setlinewidth} def /j {setlinejoin} def /J {setlinecap} def /M {setmiterlimit} def /d {setdash} def /i {setflat} def /W {clip} def /W* {eoclip} def % Setup the default graphics state. % (black; 1 pt. linewidth; miter join; butt-ends; solid) /defaultGraphicsState {0 g 1 w 0 j 0 J [] 0 d} def % Emulation of the rectangle operators for PostScript implementations % which do not implement all Level 2 features. This is an INCOMPLETE % emulation; only the "x y width height rect..." form is emulated. /*rf {gsave newpath re fill grestore} def /*rs {gsave newpath re stroke grestore} def /*rc {newpath re clip} def /rf /rectfill where {pop /rectfill}{/*rf} ifelse load def /rs /rectstroke where {pop /rectstroke}{/*rs} ifelse load def /rc /rectclip where {pop /rectclip}{/*rc} ifelse load def % Emulation of the selectfont operator. This includes a 20% increase in % the fontsize which is necessary to get sizes similar to the Java fonts. /*sf {exch findfont exch dup type /arraytype eq {makefont}{scalefont} ifelse setfont} bind def /sf /selectfont where {pop {1.2 mul selectfont}}{{1.2 mul *sf}} ifelse def % Special version of stroke which allows the dash pattern to continue % across path segments. (This may be needed for PostScript although % modern printers seem to do this correctly.) /vg&stroke { currentdash pop length 0 eq {stroke} { currentdash /vg&doffset exch def pop flattenpath {m vg&resetdash} {2 copy currentpoint 3 -1 roll sub dup mul 3 1 roll sub dup mul add sqrt 3 1 roll l currentdash 3 -1 roll add setdash} {} {h vg&resetdash} pathforall stroke vg&resetdash } ifelse } def /vg&resetdash {currentdash pop vg&doffset setdash} def % Initialize variables for safety. /delta 0 def /xv 0 def /yv 0 def /width 0 def /height 0 def % Initialize to portrait INTERNATIONAL (Letter-height, A4-width) page. /pw 595 def /ph 791 def /po true def /ftp false def % Initialize margins to 20 points. /ml 20 def /mr 20 def /mt 20 def /mb 20 def % Temporary matrices. /smatrix 0 def /nmatrix 0 def % set page size (usage: <page width><page height> setpagesize) /setpagesize {/ph exch def /pw exch def} def % set page orientation (usage: portrait or landscape) /portrait {/po true def} def /landscape {/po false def} def % force natural size for image (usage: naturalsize) /naturalsize {/ftp false def} def % resize image to fill page (usage: fittopage) /fittopage {/ftp true def} def % set margins of the page (usage: <left><bottom><top><right> setmargins) /setmargins {/mr exch def /mt exch def /mb exch def /ml exch def} def % set the graphic's size (usage: <width><height> setsize) /setsize {/gh exch def /gw exch def} def % set the graphic's origin (usage: <x0><y0> setorigin) /setorigin {/gy exch def /gx exch def} def % calculate image center /imagecenter {pw ml sub mr sub 2 div ml add ph mt sub mb sub 2 div mb add} def % calculate the necessary scaling /imagescale {po {gw}{gh} ifelse pw ml sub mr sub div po {gh}{gw} ifelse ph mt sub mb sub div 2 copy lt {exch} if pop ftp not {1 2 copy lt {exch} if pop} if 1 exch div /sfactor exch def /gw gw sfactor mul def /gh gh sfactor mul def} def % calculate image origin /imageorigin {pw ml sub mr sub 2 div ml add po {gw}{gh} ifelse 2 div sub ph mt sub mb sub 2 div mb add po {gh}{gw} ifelse 2 div po {add}{sub} ifelse} def % calculate the clipping origin /cliporigin {pw ml sub mr sub 2 div ml add po {gw}{gh} ifelse 2 div sub floor ph mt sub mb sub 2 div mb add po {gh}{gw} ifelse 2 div sub floor} def % Set the clipping region to the bounding box. /cliptobounds {cliporigin po {gw}{gh} ifelse 1 add po {gh}{gw} ifelse 1 add rc} def % set the base transformation matrix (usage: setbasematrix) /setbasematrix {imageorigin translate po {0}{90} ifelse rotate sfactor sfactor neg scale /defaultmatrix matrix currentmatrix def} def % The lower-right bias in drawing 1 pt. wide lines. /bias {q 0.5 0.5 translate} def /unbias {Q} def % Draw a line. (x0 y0 x1 y1 line) /L {bias n m l S unbias} def % Polyline primitive. /polyline {n m 1 exch 1 exch {pop currentfile token pop currentfile token pop l} for } def % Draw a polyline (n x0 y0 OPL x1 y1 x2 y2 ... ... xn yn) /OPL {bias polyline S unbias} def % Draw a closed polyline (n x0 y0 CPL x1 y1 x2 y2 ... ... xn yn) /CPL {bias polyline s unbias} def % Draw a filled polyline (n x0 y0 FPL x1 y1 x2 y2 ... ... xn yn) /FPL {polyline h f*} def % Draw an oval. (x y w h OVL) /OVL {matrix currentmatrix /smatrix exch def /height exch def /width exch def /yv exch def /xv exch def width 2 div xv add height 2 div yv add translate width currentlinewidth sub 2 div height currentlinewidth sub 2 div neg scale n 0 0 1 5 -2 roll arc smatrix setmatrix S} def % Draw a filled oval. (x y w h FOVL) /FOVL {matrix currentmatrix /smatrix exch def /height exch def /width exch def /yv exch def /xv exch def width 2 div xv add height 2 div yv add translate width 2 div height 2 div neg scale n 0 0 m 0 0 1 5 -2 roll arc h smatrix setmatrix f} def % Draw a rounded rectangle. (x y w h arcwidth archeight RREC) /RREC {matrix currentmatrix /smatrix exch def 2 div /ah exch def 2 div /aw exch def /height exch def /width exch def /yv exch def /xv exch def aw ah scale matrix currentmatrix /nmatrix exch def smatrix setmatrix n xv width add aw sub yv m nmatrix setmatrix currentpoint exch 1 add exch currentpoint 1 add exch 1 add exch 1 arct smatrix setmatrix xv width add yv height add ah sub l nmatrix setmatrix currentpoint 1 add currentpoint exch 1 sub exch 1 add 1 arct smatrix setmatrix xv aw add yv height add l nmatrix setmatrix currentpoint exch 1 sub exch currentpoint exch 1 sub exch 1 sub 1 arct smatrix setmatrix xv yv ah add l nmatrix setmatrix currentpoint 1 sub currentpoint exch 1 add exch 1 sub 1 arct smatrix setmatrix s} def % Draw a filled rounded rectangle. (x y w h arcwidth archeight FRREC) /FRREC{matrix currentmatrix /smatrix exch def 2 div /ah exch def 2 div /aw exch def /height exch def /width exch def /yv exch def /xv exch def aw ah scale matrix currentmatrix /nmatrix exch def smatrix setmatrix n xv width add aw sub yv m nmatrix setmatrix currentpoint exch 1 add exch currentpoint 1 add exch 1 add exch 1 arct smatrix setmatrix xv width add yv height add ah sub l nmatrix setmatrix currentpoint 1 add currentpoint exch 1 sub exch 1 add 1 arct smatrix setmatrix xv aw add yv height add l nmatrix setmatrix currentpoint exch 1 sub exch currentpoint exch 1 sub exch 1 sub 1 arct smatrix setmatrix xv yv ah add l nmatrix setmatrix currentpoint 1 sub currentpoint exch 1 add exch 1 sub 1 arct smatrix setmatrix h f} def % Draw a string. (string x y STR) /STR {q m 1 -1 scale recshow Q} def % Define basic plot symbols. /xys {/siz exch def /yv exch def /xv exch def} def /hline {xys n xv siz 2. div sub yv m siz 0 rlineto S} def /vline {xys n xv yv siz 2. div sub m 0 siz rlineto S} def /plus {xys n xv yv siz 2. div sub m 0 siz rlineto xv siz 2. div sub yv m siz 0 rlineto S} def /dot {n 2. div 0 360 arc s} def /fdot {n 2. div 0 360 arc h f} def /box {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub siz 2 sqrt div dup rs} def /fbox {xys n xv siz 2 sqrt div 2 div sub yv siz 2 sqrt div 2 div sub siz 2 sqrt div dup rf} def /tridn{xys n xv yv siz 3 sqrt div add m siz 2. div neg 3 sqrt 2. div siz mul neg rlineto siz 0 rlineto s} def /ftridn{xys n xv yv siz 3 sqrt div add m siz 2. div neg 3 sqrt 2. div siz mul neg rlineto siz 0 rlineto h f} def % Symbols defined in terms of the others. /star {3 copy cross plus} def /cross {xys q xv yv translate 45 rotate 0 0 siz plus Q} def /diamond {xys q xv yv translate 45 rotate 0 0 siz box Q} def /fdiamond {xys q xv yv translate 45 rotate 0 0 siz fbox Q} def /triup {xys q xv yv translate 180 rotate 0 0 siz tridn Q} def /ftriup {xys q xv yv translate 180 rotate 0 0 siz ftridn Q} def % Define the composite fonts used to print Unicode strings. % Undefine particular values in an encoding array. /vg&undef { {exch dup 3 -1 roll /.notdef put} forall } def /vg&redef { {3 -1 roll dup 4 2 roll put} forall } def % usage: key encoding basefontname vg&newbasefont font /vg&newbasefont { findfont dup length dict copy begin currentdict /FID undef /Encoding exch def dup /FontName exch def currentdict end definefont } def % usage: key encoding basefontname vg&newskewedbasefont font /vg&newskewedbasefont { findfont dup length dict copy begin currentdict /FID undef /Encoding exch def dup /FontName exch def exch FontMatrix exch matrix concatmatrix /FontMatrix exch def currentdict end definefont } def % usage: basekey suffix vg&nconcat name /vg&nconcat { 2 {dup length string cvs exch} repeat dup length 3 -1 roll dup length 3 -1 roll add string dup 0 4 -1 roll dup length 5 1 roll putinterval dup 4 -2 roll exch putinterval cvn } def %usage: fontname vg&skewmatrix matrix /vg&skewmatrix { findfont dup /FontInfo known { /FontInfo get dup /ItalicAngle known { [ 1 0 4 -1 roll /ItalicAngle get neg dup sin exch cos div 1 0 0 ] } {pop matrix} ifelse } {pop matrix} ifelse } def % usage: newfontname basefontname vg&newcompositefont -- /vg&newcompositefont { /vg&fstyle exch def /vg&bfont exch def /vg&fname exch def << /FontStyleBits vg&fstyle /FontType 0 /FontMatrix matrix /FontName vg&fname /FMapType 2 /Encoding [ 0 1 255 {pop 6} for ] dup 16#00 0 put % Latin dup 16#03 1 put % Greek dup 16#20 2 put % Punctuation dup 16#21 3 put % Arrows dup 16#22 4 put % MathOps dup 16#27 5 put % Dingbats /FDepVector [ vg&bfont /-UC-Latin vg&nconcat UCLatinEncoding vg&bfont vg&newbasefont vg&bfont vg&skewmatrix vg&bfont /-UC-Greek vg&nconcat UCGreekEncoding /Symbol vg&newskewedbasefont vg&bfont /-UC-Punctuation vg&nconcat UCPunctuationEncoding vg&bfont vg&newbasefont /Arrows-UC findfont /MathOps-UC findfont /Dingbats-UC findfont /Undefined-UC findfont ] >> vg&fname exch definefont pop } def % Null encoding vector (all elements set to .notdef) /NullEncoding [ 256 {/.notdef} repeat ] def % Unicode Latin encoding (unicode codes \u0000-\u00ff) /UCLatinEncoding ISOLatin1Encoding dup length array copy dup 16#60 /grave put [ 16#90 16#91 16#92 16#93 16#94 16#95 16#96 16#97 16#98 16#9a 16#9b 16#9d 16#9e 16#9f ] vg&undef def % Unicode Greek encoding (unicode codes \u0370-\u03ff) /UCGreekEncoding NullEncoding dup length array copy << 16#91 /Alpha 16#92 /Beta 16#93 /Gamma 16#94 /Delta 16#95 /Epsilon 16#96 /Zeta 16#97 /Eta 16#98 /Theta 16#99 /Iota 16#9a /Kappa 16#9b /Lambda 16#9c /Mu 16#9d /Nu 16#9e /Xi 16#9f /Omicron 16#a0 /Pi 16#a1 /Rho 16#a3 /Sigma 16#a4 /Tau 16#a5 /Upsilon 16#a6 /Phi 16#a7 /Chi 16#a8 /Psi 16#a9 /Omega 16#b1 /alpha 16#b2 /beta 16#b3 /gamma 16#b4 /delta 16#b5 /epsilon 16#b6 /zeta 16#b7 /eta 16#b8 /theta 16#b9 /iota 16#ba /kappa 16#bb /lambda 16#bc /mu 16#bd /nu 16#be /xi 16#bf /omicron 16#c0 /pi 16#c1 /rho 16#c2 /sigma1 16#c3 /sigma 16#c4 /tau 16#c5 /upsilon 16#c6 /phi1 16#c7 /chi 16#c8 /psi 16#c9 /omega 16#7e /semicolon 16#87 /dotmath 16#d1 /theta1 16#d2 /Upsilon1 16#d5 /phi 16#d6 /omega1 >> vg&redef def % Unicode punctuation encoding (unicode codes \u2000-\u206f) /UCPunctuationEncoding NullEncoding dup length array copy << 16#10 /hyphen 16#11 /hyphen 16#12 /endash 16#13 /emdash 16#18 /quoteleft 16#19 /quoteright 16#1a /quotesinglbase 16#1b /quotesingle 16#1c /quotedblleft 16#1d /quotedblright 16#1e /quotedblbase 16#1f /quotedbl 16#20 /dagger 16#21 /daggerdbl 16#22 /bullet 16#24 /period 16#26 /ellipsis 16#27 /periodcentered 16#30 /perthousand 16#44 /fraction 16#70 /zerosuperior 16#74 /foursuperior 16#75 /fivesuperior 16#76 /sixsuperior 16#77 /sevensuperior 16#78 /eightsuperior 16#79 /ninesuperior 16#7b /hyphensuperior 16#7d /parenleftsuperior 16#7e /parenrightsuperior 16#80 /zeroinferior 16#84 /fourinferior 16#85 /fiveinferior 16#81 /oneinferior 16#82 /twoinferior 16#83 /threeinferior 16#86 /sixinferior 16#87 /seveninferior 16#88 /eightinferior 16#89 /nineinferior 16#8b /hypheninferior 16#8d /parenleftinferior 16#8e /parenrightinferior >> vg&redef def % Unicode mathematical operators encoding (unicode codes \u2200-\u22ff) /UCMathOpsEncoding NullEncoding dup length array copy << 16#00 /universal 16#02 /partialdiff 16#03 /existential 16#05 /emptyset 16#06 /Delta 16#07 /gradient 16#08 /element 16#09 /notelement 16#0b /suchthat 16#0f /product 16#11 /summation 16#12 /minus 16#15 /fraction 16#17 /asteriskmath 16#19 /bullet 16#1a /radical 16#1d /proportional 16#1e /infinity 16#20 /angle 16#23 /bar 16#27 /logicaland 16#28 /logicalor 16#29 /intersection 16#2a /union 16#2b /integral 16#34 /therefore 16#36 /colon 16#3c /similar 16#45 /congruent 16#48 /approxequal 16#60 /notequal 16#61 /equivalence 16#64 /lessequal 16#65 /greaterequal 16#82 /propersubset 16#83 /propersuperset 16#86 /reflexsubset 16#87 /reflexsuperset 16#95 /circleplus 16#97 /circlemultiply 16#a5 /perpendicular 16#03 /existential 16#c0 /logicaland 16#c1 /logicalor 16#c2 /intersection 16#c3 /union 16#c4 /diamond 16#c5 /dotmath >> vg&redef def % Unicode arrows encoding (unicode codes \u2190-\u21ff) % Also includes those "Letterlike" unicode characters % which are available in the symbol font. (unicode codes \u2100-\u214f) /UCArrowsEncoding NullEncoding dup length array copy << 16#11 /Ifraktur 16#1c /Rfraktur 16#22 /trademarkserif 16#35 /aleph 16#90 /arrowleft 16#91 /arrowup 16#92 /arrowright 16#93 /arrowdown 16#94 /arrowboth 16#d0 /arrowdblleft 16#d1 /arrowdblup 16#d2 /arrowdblright 16#d3 /arrowdbldown 16#d4 /arrowdblboth >> vg&redef def /ZapfDingbats findfont /Encoding get dup length array copy /UCDingbatsEncoding exch def 16#20 1 16#7f { dup 16#20 sub exch UCDingbatsEncoding exch get UCDingbatsEncoding 3 1 roll put } for 16#a0 1 16#ff { dup 16#40 sub exch UCDingbatsEncoding exch get UCDingbatsEncoding 3 1 roll put } for UCDingbatsEncoding [ 16#c0 1 16#ff {} for ] vg&undef [ 16#00 16#05 16#0a 16#0b 16#28 16#4c 16#4e 16#53 16#54 16#55 16#57 16#5f 16#60 16#68 16#69 16#6a 16#6b 16#6c 16#6d 16#6e 16#6f 16#70 16#71 16#72 16#73 16#74 16#75 16#95 16#96 16#97 16#b0 16#bf ] vg&undef pop % Define the base fonts which don't change. /Undefined-UC NullEncoding /Helvetica vg&newbasefont pop /MathOps-UC UCMathOpsEncoding /Symbol vg&newbasefont pop /Arrows-UC UCArrowsEncoding /Symbol vg&newbasefont pop /Dingbats-UC UCDingbatsEncoding /ZapfDingbats vg&newbasefont pop % Make the SansSerif composite fonts. /SansSerif /Helvetica 16#00 vg&newcompositefont /SansSerif-Bold /Helvetica-Bold 16#01 vg&newcompositefont /SansSerif-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /SansSerif-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the Serif composite fonts. /Serif /Times-Roman 16#00 vg&newcompositefont /Serif-Bold /Times-Bold 16#01 vg&newcompositefont /Serif-Italic /Times-Italic 16#02 vg&newcompositefont /Serif-BoldItalic /Times-BoldItalic 16#03 vg&newcompositefont % Make the Monospaced composite fonts. /Monospaced /Courier 16#00 vg&newcompositefont /Monospaced-Bold /Courier-Bold 16#01 vg&newcompositefont /Monospaced-Italic /Courier-Oblique 16#02 vg&newcompositefont /Monospaced-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont % Make the Dialog composite fonts. /Dialog /Helvetica 16#00 vg&newcompositefont /Dialog-Bold /Helvetica-Bold 16#01 vg&newcompositefont /Dialog-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /Dialog-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the DialogInput composite fonts. /DialogInput /Helvetica 16#00 vg&newcompositefont /DialogInput-Bold /Helvetica-Bold 16#01 vg&newcompositefont /DialogInput-Italic /Helvetica-Oblique 16#02 vg&newcompositefont /DialogInput-BoldItalic /Helvetica-BoldOblique 16#03 vg&newcompositefont % Make the Typewriter composite fonts (JDK 1.1 only). /Typewriter /Courier 16#00 vg&newcompositefont /Typewriter-Bold /Courier-Bold 16#01 vg&newcompositefont /Typewriter-Italic /Courier-Oblique 16#02 vg&newcompositefont /Typewriter-BoldItalic /Courier-BoldOblique 16#03 vg&newcompositefont /cfontH { dup /fontsize exch def /SansSerif exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHB { dup /fontsize exch def /SansSerif-Bold exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHI { dup /fontsize exch def /SansSerif-Italic exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontHBI { dup /fontsize exch def /SansSerif-BoldItalic exch sf /vg&fontstyles [{cfontH} {cfontHB} {cfontHI} {cfontHBI}] def } def /cfontT { dup /fontsize exch def /Serif exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTB { dup /fontsize exch def /Serif-Bold exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTI { dup /fontsize exch def /Serif-Italic exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontTBI { dup /fontsize exch def /Serif-BoldItalic exch sf /vg&fontstyles [{cfontT} {cfontTB} {cfontTI} {cfontTBI}] def } def /cfontC { dup /fontsize exch def /Typewriter exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCB { dup /fontsize exch def /Typewriter-Bold exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCI { dup /fontsize exch def /Typewriter-Italic exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def /cfontCBI { dup /fontsize exch def /Typewriter-BoldItalic exch sf /vg&fontstyles [{cfontC} {cfontCB} {cfontCI} {cfontCBI}] def } def % Darken or lighten the current color. /darken {0.7 exch exp 3 copy q 4 -1 roll vg&C currentrgbcolor 3 {4 -2 roll mul} repeat 3 array astore Q} def /displayColorMap << /Cr [1.00 0.00 0.00] /Cg [0.00 1.00 0.00] /Cb [0.00 0.00 1.00] /Cc [1.00 0.00 0.00 0.00] /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] /Cw [1 ] /Cgrl [0.75] /Cgr [0.50] /Cgrd [0.25] /Ck [0 ] /CGr [1.00 0.00 0.00] /CGg [0.00 1.00 0.00] /CGb [0.00 0.00 1.00] /CGc [1.00 0.00 0.00 0.00] /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] /CGw [1 ] /CGgrl [0.75] /CGgr [0.50] /CGgrd [0.25] /CGk [0 ] /CIr [1.00 0.00 0.00] /CIg [0.00 1.00 0.00] /CIb [0.00 0.00 1.00] /CIc [1.00 0.00 0.00 0.00] /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] /CIw [1 ] /CIgrl [0.75] /CIgr [0.50] /CIgrd [0.25] /CIk [0 ] >> def /printColorMap << /Cr [1.00 0.33 0.33] /Cg [0.33 1.00 0.33] /Cb [0.33 0.33 1.00] /Cc [1.00 0.00 0.00 0.00] /Cm [0.00 1.00 0.00 0.00] /Cy [0.00 0.00 1.00 0.00] /Co [1.00 0.78 0.00] /Cp [1.00 0.67 0.67] /Cw [1 ] /Cgrl [0.75] /Cgr [0.50] /Cgrd [0.25] /Ck [0 ] /CGr [1.00 0.33 0.33] /CGg [0.33 1.00 0.33] /CGb [0.33 0.33 1.00] /CGc [1.00 0.00 0.00 0.00] /CGm [0.00 1.00 0.00 0.00] /CGy [0.00 0.00 1.00 0.00] /CGo [1.00 0.78 0.00] /CGp [1.00 0.67 0.67] /CGw [1 ] /CGgrl [0.75] /CGgr [0.50] /CGgrd [0.25] /CGk [0 ] /CIr [1.00 0.33 0.33] /CIg [0.33 1.00 0.33] /CIb [0.33 0.33 1.00] /CIc [1.00 0.00 0.00 0.00] /CIm [0.00 1.00 0.00 0.00] /CIy [0.00 0.00 1.00 0.00] /CIo [1.00 0.78 0.00] /CIp [1.00 0.67 0.67] /CIw [1 ] /CIgrl [0.75] /CIgr [0.50] /CIgrd [0.25] /CIk [0 ] >> def /grayColorMap << /Cr [0 ] /Cg [0 ] /Cb [0 ] /Cc [0 ] /Cm [0 ] /Cy [0 ] /Co [0 ] /Cp [0 ] /Cw [0 ] /Cgrl [0 ] /Cgr [0 ] /Cgrd [0 ] /Ck [0 ] /CGr [0.75] /CGg [1 ] /CGb [0.50] /CGc [0.75] /CGm [0.50] /CGy [1 ] /CGo [0.75] /CGp [1 ] /CGw [0 ] /CGgrl [0.25] /CGgr [0.50] /CGgrd [0.75] /CGk [1 ] /CIr [1 ] /CIg [1 ] /CIb [1 ] /CIc [1 ] /CIm [1 ] /CIy [1 ] /CIo [1 ] /CIp [1 ] /CIw [1 ] /CIgrl [1 ] /CIgr [1 ] /CIgrd [1 ] /CIk [1 ] >> def /bwColorMap << /Cr [0 ] /Cg [0 ] /Cb [0 ] /Cc [0 ] /Cm [0 ] /Cy [0 ] /Co [0 ] /Cp [0 ] /Cw [0 ] /Cgrl [0 ] /Cgr [0 ] /Cgrd [0 ] /Ck [0 ] /CGr [1 ] /CGg [1 ] /CGb [1 ] /CGc [1 ] /CGm [1 ] /CGy [1 ] /CGo [1 ] /CGp [1 ] /CGw [0 ] /CGgrl [1 ] /CGgr [1 ] /CGgrd [1 ] /CGk [1 ] /CIr [1 ] /CIg [1 ] /CIb [1 ] /CIc [1 ] /CIm [1 ] /CIy [1 ] /CIo [1 ] /CIp [1 ] /CIw [1 ] /CIgrl [1 ] /CIgr [1 ] /CIgrd [1 ] /CIk [1 ] >> def % % The following routines handle the alignment of and printing of % tagged strings. % % Predefine the bounding box values. /bbllx 0 def /bblly 0 def /bburx 0 def /bbury 0 def % This routine pops the first unicode character off of a string and returns % the remainder of the string, the character code of first character, % and a "true" if the string was non-zero length. % <string> popfirst <remaining string> <true> % <null string> popfirst <false> /popfirst { dup length 1 gt {dup 0 get /vg&fbyte exch def dup 1 get /vg&cbyte exch def dup length 2 sub 2 exch getinterval true} {pop false} ifelse } def % This routine shows a single unicode character given the font and % character codes. % <font code> <char code> unicharshow -- /unicharshow { 2 string dup 0 5 -1 roll put dup 1 4 -1 roll put internalshow } def % This is an internal routine to alternate between determining the % bounding box for stringsize and showing the string for recshow. % <string> internalshow -- /internalshow {show} def % This is an internal routine to alternate between determining the % bounding box for stringsize and stroking various ornaments. % <string> internalstroke -- /internalstroke {S} def % Sets up internalshow to use the null device to determine string size. % -- nullinternalshow -- /nullinternalshow {/internalshow {false charpath flattenpath pathbbox updatebbox} def} def % Sets up internalstroke to use the null device to determine string size. % -- nullinternalstroke -- /nullinternalstroke { /internalstroke {flattenpath pathbbox updatebbox} def} def % This routine tests to see if the character code matches the first % character of a string. % <char code> <string> testchar <char code> <true or false> /testchar {exch dup 3 -1 roll 0 get eq} def % Raise the text baseline for superscripts. % -- raise -- /raise { 0 fontsize 2 div rmoveto /fontsize fontsize 2 mul 3 div def currentfont /FontName get fontsize sf } def % Un-raise the text baseline for superscripts. % -- unraise -- /unraise { /fontsize fontsize 1.5 mul def 0 fontsize 2 div neg rmoveto } def % Lower the text baseline for subscripts. % -- lower -- /lower { 0 fontsize 3 div neg rmoveto /fontsize fontsize 2 mul 3 div def currentfont /FontName get fontsize sf } def % Un-lower the text baseline for subscripts. % -- unlower -- /unlower { /fontsize fontsize 1.5 mul def 0 fontsize 3 div rmoveto } def % Compare the top two elements on the stack and leave only the % larger one. /maxval {2 copy gt {pop} {exch pop} ifelse} def % Tokenize a string. Do not use the usual PostScript token because % parentheses will not be interpreted correctly because of rescanning % of the string. /vg&token {/vg&string exch def /vg&index -1 def /vg&level 0 def 0 2 vg&string length 2 sub { dup dup 1 add exch vg&string exch get 8 bitshift vg&string 3 -1 roll get or dup 16#f0fe eq {pop 1}{16#f0ff eq {-1}{0} ifelse} ifelse /vg&level exch vg&level add def vg&level 0 eq {/vg&index exch def exit} if pop } for vg&index 0 ge { vg&string vg&index 2 add dup vg&string length exch sub getinterval vg&index 2 gt {vg&string 2 vg&index 2 sub getinterval}{()} ifelse true} {false} ifelse } bind def % Recursively show an unicode string. % <string> recshow -- /recshow { popfirst { % Test to see if this is a string attribute. vg&fbyte 16#f0 and 16#e0 eq { q % Font style. currentfont dup /FontStyleBits known {/FontStyleBits get}{pop 0} ifelse vg&cbyte or vg&fontstyles exch get fontsize exch exec vg&token pop recshow currentpoint Q m recshow } { vg&fbyte 16#F8 and 16#F0 eq { % Superscript and/or subscript. vg&cbyte 16#00 eq { vg&token pop exch vg&token pop 3 -1 roll q raise recshow unraise currentpoint pop Q exch q lower recshow unlower currentpoint pop Q maxval currentpoint exch pop m recshow } if % Strikeout. vg&cbyte 16#01 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick w currentpoint 4 -2 roll fontsize 3 div add moveto fontsize 3 div add lineto internalstroke Q recshow} if % Underline. vg&cbyte 16#02 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Dashed underline. vg&cbyte 16#03 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J [ vg&uthick 5 mul vg&uthick 2 mul] 0 d vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Dotted underline. vg&cbyte 16#04 eq { vg&token pop currentpoint 3 -1 roll recshow q 1 J [ 0 vg&uthick 3 mul] 0 d vg&underline vg&uthick w currentpoint 4 -2 roll vg&uoffset add moveto vg&uoffset add lineto internalstroke Q recshow} if % Thick underline. vg&cbyte 16#05 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick 2 mul w currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q recshow} if % Gray thick underline. vg&cbyte 16#06 eq { vg&token pop currentpoint 3 -1 roll recshow q 0 J vg&underline vg&uthick 2 mul w 0.5 setgray currentpoint 4 -2 roll vg&uoffset vg&uthick 2 div sub add moveto vg&uoffset vg&uthick 2 div sub add lineto internalstroke Q recshow} if % Overbar. vg&cbyte 16#07 eq { vg&token pop dup stringsize relative 4 1 roll pop pop exch 3 -1 roll recshow q 0 J vg&underline vg&uthick w vg&uoffset neg add dup currentpoint pop exch m l internalstroke Q recshow} if } { vg&fbyte vg&cbyte unicharshow recshow } ifelse } ifelse } if } def % Get the underline position and thickness from the current font. /vg&underline { currentfont dup /FontType get 0 eq {/FDepVector get 0 get} if dup dup /FontInfo known { /FontInfo get dup dup /UnderlinePosition known { /UnderlinePosition get /vg&uoffset exch def } { pop /vg&uoffset 0 def } ifelse dup /UnderlineThickness known { /UnderlineThickness get /vg&uthick exch def } { pop /vg&uthick 0 def } ifelse } { pop /vg&uoffset 0 def /vg&uthick 0 def } ifelse /FontMatrix get currentfont dup /FontType get 0 eq {/FontMatrix get matrix concatmatrix}{pop} ifelse dup 0 vg&uoffset 3 -1 roll transform /vg&uoffset exch def pop 0 vg&uthick 3 -1 roll transform /vg&uthick exch def pop } def % Make a frame with the coordinates on the stack. % <llx> <lly> <urx> <ury> frame -- /frame {4 copy m 3 1 roll exch l 4 -2 roll l l h} def % Resets the accumulated bounding box to a degenerate box at the % current point. % -- resetbbox -- /resetbbox { currentpoint 2 copy /bbury exch def /bburx exch def /bblly exch def /bbllx exch def } def % Update the accumulated bounding box. % <llx'> <lly'> <urx'> <ury'> updatebbox -- /updatebbox { dup bbury gt {/bbury exch def} {pop} ifelse dup bburx gt {/bburx exch def} {pop} ifelse dup bblly lt {/bblly exch def} {pop} ifelse dup bbllx lt {/bbllx exch def} {pop} ifelse } def % Set the bounding box to the values on the stack. % <llx'> <lly'> <urx'> <ury'> updatebbox -- /restorebbox { /bbury exch def /bburx exch def /bblly exch def /bbllx exch def } def % Push the accumulated bounding box onto the stack. % -- pushbbox <llx> <lly> <urx> <ury> /pushbbox {bbllx bblly bburx bbury} def % Make the relative bounding box relative to the currentpoint. % <llx'> <lly'> <urx'> <ury'> inflate <llx> <lly> <urx> <ury> /inflate { 2 {fontsize 0.2 mul add 4 1 roll} repeat 2 {fontsize 0.2 mul sub 4 1 roll} repeat } def % Make the relative bounding box relative to the currentpoint. % <llx'> <lly'> <urx'> <ury'> relative <llx> <lly> <urx> <ury> /relative { currentpoint 3 -1 roll add 3 1 roll add exch 4 2 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Black 49 w(G.)j(Cognola,)g(E.)h(Elizalde,)f(S.)g(No)5 b(jiri,)34 b(S.)h(D.)f(Odin)m(tso)m(v,)i(L.)f(Sebastiani)e(and)i(S.)g (Zerbini,)f Fb(Phys.)201 3591 y(R)-5 b(ev.)34 b(D)e Fa(77)p Fl(,)h(046009)e(\(2008\).)0 3657 y SDict begin H.S end 0 3657 a 0 3657 a SDict begin 14.5 H.A end 0 3657 a 0 3657 a SDict begin [/View [/XYZ H.V]/Dest (cite.c50) cvn /DEST pdfmark end 0 3657 a Black 137 x Fl([50])p Black 49 w(E.)k(V.)g(Linder,)g Fb(Phys.)h(R)-5 b(ev.)37 b(D)d Fa(80)p Fl(,)i(123528)d(\(2009\);)i(K.)f(Bam)m(ba,)h(C.)g(Q.)g(Geng)g (and)f(C.)i(C.)f(Lee,)201 3914 y Fb(JCAP)d Fa(1008)p Fl(,)h(021)f(\(2010\).)0 3981 y SDict begin H.S end 0 3981 a 0 3981 a SDict begin 14.5 H.A end 0 3981 a 0 3981 a SDict begin [/View [/XYZ H.V]/Dest (cite.c51) cvn /DEST pdfmark end 0 3981 a Black 137 x Fl([51])p Black 49 w(K.)g(Hirano)f(and) i(Z.)f(Komiy)m(a,)f Fb(Gen.)k(R)-5 b(el.)35 b(Gr)-5 b(av.)32 b Fa(42)p Fl(,)h(2751)f(\(2010\).)0 4184 y SDict begin H.S end 0 4184 a 0 4184 a SDict begin 14.5 H.A end 0 4184 a 0 4184 a SDict begin [/View [/XYZ H.V]/Dest (cite.c52) cvn /DEST pdfmark end 0 4184 a Black 137 x Fl([52])p Black 49 w(H.)g(Mohseni)h(Sadjadi,)f Fb(Phys.)j(L)-5 b(ett.)35 b(B)d Fa(687)p Fl(,)h(114)f(\(2010\).)0 4388 y SDict begin H.S end 0 4388 a 0 4388 a SDict begin 14.5 H.A end 0 4388 a 0 4388 a SDict begin [/View [/XYZ H.V]/Dest (cite.c53) cvn /DEST pdfmark end 0 4388 a Black 137 x Fl([53])p Black 49 w(S.)e(Cap)s(ozziello)e(and)j(M.)g(F)-8 b(ranca)m(viglia,)28 b Fb(Gen.)k(R)-5 b(el.)33 b(Gr)-5 b(av.)30 b Fa(40)p Fl(,)h(357)f(\(2008\);)g(S.)g(Cap)s(ozziello)e(and) 201 4645 y(M.)33 b(D.)f(Lauren)m(tis,)g Fb(Phys.)j(R)-5 b(ept.)33 b Fa(509)p Fl(,)g(167)e(\(2011\).)p Black 1900 5894 a(12)p Black eop end end %%Trailer end userdict /end-hook known{end-hook}if %%EOF