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cleartomark
% End of font resource
%% Font Page 00
/LuxiSerif-ENC-00 [
/.notdef/s/i/g/n/a/l/underscore/p/r/o/c/e/d/space/colon/t/v/u/m/b/w/h/C/less
/greater/x/parenleft/parenright/F/V/I/R/f/y/comma/z/T/plus/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef] def
/LuxiSerif-Uni-00 LuxiSerif-ENC-00 /LuxiSerif MFEmb
%%BeginFont: LuxiSerif
%!PS-AdobeFont-1.0 Composite Font
%%FontName: LuxiSerif-Uni
%%Creator: Composite font created by Qt
25 dict begin
/FontName /LuxiSerif-Uni def
/PaintType 0 def
/FontMatrix[1 0 0 1 0 0]def
/FontType 0 def
/FMapType 2 def
/Encoding [
0]def
/FDepVector [
/LuxiSerif-Uni-00 findfont
]def
FontName currentdict end definefont pop
%%EndFont
/LuxiSerif-BoldList [
[ /LuxiSerif-Bold 1.0 0.0 ]
[ /LuxiSerif-Bold 1.0 0.0 ]
[ /Helvetica-Bold 0.936 0.000 ]
] d
% Font resource
%!PS-AdobeFont-1.0: LuxiSerif-Bold 1.1000
%%CreationDate: Mon Nov 12 2001
% Copyright Copyright (c) 2001 by Bigelow & Holmes Inc. Instructions copyright (c) 2001 by URW++.
% Copyright (c) 2001 by Bigelow & Holmes Inc. Instructions copyright (c) 2001 by URW++.
12 dict begin
/FontInfo 10 dict dup begin
/version (1.1000) readonly def
/Notice (Copyright (c) 2001 by Bigelow & Holmes Inc. Instructions copyright (c) 2001 by URW++.) readonly def
/Copyright (Copyright Copyright (c) 2001 by Bigelow & Holmes Inc. Instructions copyright (c) 2001 by URW++.) readonly def
/FullName (Luxi Serif Bold) readonly def
/FamilyName (Luxi Serif) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0.0 def
/isFixedPitch false def
/UnderlinePosition -36 def
/UnderlineThickness 72 def
end readonly def
/FontName /LuxiSerif-Bold def
/PaintType 0 def
/WMode 0 def
/FontBBox {-217 -211 994 1012} readonly def
/FontType 1 def
/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 198 /AE put
dup 140 /OE put
dup 216 /Oslash put
dup 196 /Adieresis put
dup 193 /Aacute put
dup 192 /Agrave put
dup 194 /Acircumflex put
dup 195 /Atilde put
dup 197 /Aring put
dup 199 /Ccedilla put
dup 208 /Eth put
dup 203 /Edieresis put
dup 201 /Eacute put
dup 200 /Egrave put
dup 202 /Ecircumflex put
dup 207 /Idieresis put
dup 205 /Iacute put
dup 204 /Igrave put
dup 206 /Icircumflex put
dup 209 /Ntilde put
dup 214 /Odieresis put
dup 211 /Oacute put
dup 210 /Ograve put
dup 212 /Ocircumflex put
dup 213 /Otilde put
dup 138 /Scaron put
dup 220 /Udieresis put
dup 218 /Uacute put
dup 217 /Ugrave put
dup 219 /Ucircumflex put
dup 221 /Yacute put
dup 222 /Thorn put
dup 159 /Ydieresis put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 230 /ae put
dup 156 /oe put
dup 248 /oslash put
dup 223 /germandbls put
dup 228 /adieresis put
dup 225 /aacute put
dup 224 /agrave put
dup 226 /acircumflex put
dup 227 /atilde put
dup 229 /aring put
dup 231 /ccedilla put
dup 235 /edieresis put
dup 233 /eacute put
dup 232 /egrave put
dup 234 /ecircumflex put
dup 239 /idieresis put
dup 237 /iacute put
dup 236 /igrave put
dup 238 /icircumflex put
dup 241 /ntilde put
dup 246 /odieresis put
dup 243 /oacute put
dup 242 /ograve put
dup 244 /ocircumflex put
dup 245 /otilde put
dup 154 /scaron put
dup 252 /udieresis put
dup 250 /uacute put
dup 249 /ugrave put
dup 251 /ucircumflex put
dup 253 /yacute put
dup 240 /eth put
dup 254 /thorn put
dup 255 /ydieresis put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 48 /zero put
dup 163 /sterling put
dup 36 /dollar put
dup 162 /cent put
dup 131 /florin put
dup 128 /Euro put
dup 165 /yen put
dup 185 /onesuperior put
dup 178 /twosuperior put
dup 179 /threesuperior put
dup 46 /period put
dup 58 /colon put
dup 133 /ellipsis put
dup 44 /comma put
dup 59 /semicolon put
dup 145 /quoteleft put
dup 148 /quotedblright put
dup 147 /quotedblleft put
dup 132 /quotedblbase put
dup 33 /exclam put
dup 161 /exclamdown put
dup 63 /question put
dup 191 /questiondown put
dup 187 /guillemotright put
dup 171 /guillemotleft put
dup 155 /guilsinglright put
dup 139 /guilsinglleft put
dup 47 /slash put
dup 45 /hyphen put
dup 173 /sfthyphen put
dup 150 /endash put
dup 151 /emdash put
dup 40 /parenleft put
dup 41 /parenright put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 38 /ampersand put
dup 167 /section put
dup 134 /dagger put
dup 135 /daggerdbl put
dup 42 /asterisk put
dup 39 /quotesingle put
dup 34 /quotedbl put
dup 64 /at put
dup 35 /numbersign put
dup 176 /degree put
dup 43 /plus put
dup 215 /multiply put
dup 247 /divide put
dup 61 /equal put
dup 153 /trademark put
dup 182 /paragraph put
dup 164 /currency put
dup 130 /quotesinglbase put
dup 146 /quoteright put
dup 123 /braceleft put
dup 125 /braceright put
dup 170 /ordfeminine put
dup 186 /ordmasculine put
dup 177 /plusminus put
dup 189 /onehalf put
dup 188 /onequarter put
dup 190 /threequarters put
dup 37 /percent put
dup 137 /perthousand put
dup 92 /backslash put
dup 168 /dieresis put
dup 180 /acute put
dup 96 /grave put
dup 136 /circumflex put
dup 152 /tilde put
dup 184 /cedilla put
dup 169 /copyright put
dup 174 /registered put
dup 32 /space put
dup 160 /nbspace put
dup 149 /bullet put
dup 60 /less put
dup 62 /greater put
dup 172 /logicalnot put
dup 94 /asciicircum put
dup 124 /bar put
dup 166 /brokenbar put
dup 95 /underscore put
dup 126 /asciitilde put
dup 181 /mu put
readonly def
/UniqueID 5078992 def
currentdict end
currentfile eexec
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cleartomark
% End of font resource
%% Font Page 00
/LuxiSerif-Bold-ENC-00 [
/.notdef/H/e/p/M/C/colon/G/n/E/v/t/V/r/x/P/a/i/c/l/I/O/underscore/T/A/s
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
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/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef/.notdef
/.notdef/.notdef/.notdef/.notdef/.notdef] def
/LuxiSerif-Bold-Uni-00 LuxiSerif-Bold-ENC-00 /LuxiSerif-Bold MFEmb
%%BeginFont: LuxiSerif-Bold
%!PS-AdobeFont-1.0 Composite Font
%%FontName: LuxiSerif-Bold-Uni
%%Creator: Composite font created by Qt
25 dict begin
/FontName /LuxiSerif-Bold-Uni def
/PaintType 0 def
/FontMatrix[1 0 0 1 0 0]def
/FontType 0 def
/FMapType 2 def
/Encoding [
0]def
/FDepVector [
/LuxiSerif-Bold-Uni-00 findfont
]def
FontName currentdict end definefont pop
%%EndFont
/LuxiSerif-BoldObliqueList [
[ /LuxiSerif-BoldOblique 1.0 0.0 ]
[ /LuxiSerif-BoldItalic 1.0 0.0 ]
[ /Helvetica-BoldOblique 0.936 0.000 ]
] d
% Font resource
%!PS-AdobeFont-1.0: LuxiSerif-BoldOblique 1.1000
%%CreationDate: Mon Nov 12 2001
% Copyright Copyright (c) 2001 by Bigelow & Holmes Inc. Instructions copyright (c) 2001 by URW++.
% Copyright (c) 2001 by Bigelow & Holmes Inc. Instructions copyright (c) 2001 by URW++.
12 dict begin
/FontInfo 10 dict dup begin
/version (1.1000) readonly def
/Notice (Copyright (c) 2001 by Bigelow & Holmes Inc. Instructions copyright (c) 2001 by URW++.) readonly def
/Copyright (Copyright Copyright (c) 2001 by Bigelow & Holmes Inc. Instructions copyright (c) 2001 by URW++.) readonly def
/FullName (Luxi Serif Bold Oblique) readonly def
/FamilyName (Luxi Serif) readonly def
/Weight (Bold) readonly def
/ItalicAngle -11.3 def
/isFixedPitch false def
/UnderlinePosition -36 def
/UnderlineThickness 72 def
end readonly def
/FontName /LuxiSerif-BoldOblique def
/PaintType 0 def
/WMode 0 def
/FontBBox {-221 -211 1138 1012} readonly def
/FontType 1 def
/FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 198 /AE put
dup 140 /OE put
dup 216 /Oslash put
dup 196 /Adieresis put
dup 193 /Aacute put
dup 192 /Agrave put
dup 194 /Acircumflex put
dup 195 /Atilde put
dup 197 /Aring put
dup 199 /Ccedilla put
dup 208 /Eth put
dup 203 /Edieresis put
dup 201 /Eacute put
dup 200 /Egrave put
dup 202 /Ecircumflex put
dup 207 /Idieresis put
dup 205 /Iacute put
dup 204 /Igrave put
dup 206 /Icircumflex put
dup 209 /Ntilde put
dup 214 /Odieresis put
dup 211 /Oacute put
dup 210 /Ograve put
dup 212 /Ocircumflex put
dup 213 /Otilde put
dup 138 /Scaron put
dup 220 /Udieresis put
dup 218 /Uacute put
dup 217 /Ugrave put
dup 219 /Ucircumflex put
dup 221 /Yacute put
dup 222 /Thorn put
dup 159 /Ydieresis put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 230 /ae put
dup 156 /oe put
dup 248 /oslash put
dup 223 /germandbls put
dup 228 /adieresis put
dup 225 /aacute put
dup 224 /agrave put
dup 226 /acircumflex put
dup 227 /atilde put
dup 229 /aring put
dup 231 /ccedilla put
dup 235 /edieresis put
dup 233 /eacute put
dup 232 /egrave put
dup 234 /ecircumflex put
dup 239 /idieresis put
dup 237 /iacute put
dup 236 /igrave put
dup 238 /icircumflex put
dup 241 /ntilde put
dup 246 /odieresis put
dup 243 /oacute put
dup 242 /ograve put
dup 244 /ocircumflex put
dup 245 /otilde put
dup 154 /scaron put
dup 252 /udieresis put
dup 250 /uacute put
dup 249 /ugrave put
dup 251 /ucircumflex put
dup 253 /yacute put
dup 240 /eth put
dup 254 /thorn put
dup 255 /ydieresis put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 48 /zero put
dup 163 /sterling put
dup 36 /dollar put
dup 162 /cent put
dup 131 /florin put
dup 128 /Euro put
dup 165 /yen put
dup 185 /onesuperior put
dup 178 /twosuperior put
dup 179 /threesuperior put
dup 46 /period put
dup 58 /colon put
dup 133 /ellipsis put
dup 44 /comma put
dup 59 /semicolon put
dup 145 /quoteleft put
dup 148 /quotedblright put
dup 147 /quotedblleft put
dup 132 /quotedblbase put
dup 33 /exclam put
dup 161 /exclamdown put
dup 63 /question put
dup 191 /questiondown put
dup 187 /guillemotright put
dup 171 /guillemotleft put
dup 155 /guilsinglright put
dup 139 /guilsinglleft put
dup 47 /slash put
dup 45 /hyphen put
dup 173 /sfthyphen put
dup 150 /endash put
dup 151 /emdash put
dup 40 /parenleft put
dup 41 /parenright put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 38 /ampersand put
dup 167 /section put
dup 134 /dagger put
dup 135 /daggerdbl put
dup 42 /asterisk put
dup 39 /quotesingle put
dup 34 /quotedbl put
dup 64 /at put
dup 35 /numbersign put
dup 176 /degree put
dup 43 /plus put
dup 215 /multiply put
dup 247 /divide put
dup 61 /equal put
dup 153 /trademark put
dup 182 /paragraph put
dup 164 /currency put
dup 130 /quotesinglbase put
dup 146 /quoteright put
dup 123 /braceleft put
dup 125 /braceright put
dup 170 /ordfeminine put
dup 186 /ordmasculine put
dup 177 /plusminus put
dup 189 /onehalf put
dup 188 /onequarter put
dup 190 /threequarters put
dup 37 /percent put
dup 137 /perthousand put
dup 92 /backslash put
dup 168 /dieresis put
dup 180 /acute put
dup 96 /grave put
dup 136 /circumflex put
dup 152 /tilde put
dup 184 /cedilla put
dup 169 /copyright put
dup 174 /registered put
dup 32 /space put
dup 160 /nbspace put
dup 149 /bullet put
dup 60 /less put
dup 62 /greater put
dup 172 /logicalnot put
dup 94 /asciicircum put
dup 124 /bar put
dup 166 /brokenbar put
dup 95 /underscore put
dup 126 /asciitilde put
dup 181 /mu put
readonly def
/UniqueID 5078994 def
currentdict end
currentfile eexec
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lw 0 0 1 c 708 1048 m -28 -56 d s black 1 lw 698 1028 m -9 X 19 20 d -4 -27 d f
4 lw 0 0 1 c 822 1077 m -114 Y s black 1 lw 822 1054 m -8 -4 d 8 27 d 8 -27 d f
4 lw 0 0 1 c 907 1077 m -29 -114 d s black 1 lw 901 1055 m -9 -2 d 15 24 d 1
-28 d f 4 lw 0 0 1 c 1077 1048 m -57 -85 d s black 1 lw 1064 1029 m -9 1 d 22
18 d -8 -27 d f 4 lw 0 0 1 c 1020 1048 m -85 Y s 992 1105 m 28 -57 d s black 1
lw 1002 1085 m -6 -8 d -4 28 d 19 -20 d f 4 lw 0 0 1 c 1048 1105 m -28 -57 d s
black 1 lw 1038 1085 m -9 X 19 20 d -4 -28 d f 4 lw 0 0 1 c 1162 963 m -29 -113
d s 1247 1020 m -85 -57 d s black 1 lw 1228 1007 m -8 5 d 27 8 d -18 -22 d f 4
lw 0 0 1 c 1162 1020 m -57 Y s 1190 1077 m -28 -57 d s black 1 lw 1180 1056 m
-9 X 19 21 d -5 -28 d f 4 lw 0 0 1 c 1133 1077 m 29 -57 d s black 1 lw 1144
1056 m -6 -7 d -5 28 d 20 -21 d f 4 lw 0 0 1 c 1303 907 m -170 -57 d s black 1
lw 1282 899 m -7 7 d 28 1 d -23 -17 d f 4 lw 1 0 1 c /w 122
def /w2 {w 2 div} def /w3 {w 3 div} def 442 833 m20 444 836 m20 447 840 m20 449
843 m20 451 847 m20 453 850 m20 456 853 m20 458 857 m20 460 860 m20 462 864 m20
465 867 m20 /w 147 def /w2 {w 2 div} def /w3 {w 3 div} def 1145 827 m20 1142
832 m20 1140 836 m20 1138 841 m20 1136 845 m20 1133 850 m20 1131 855 m20 1129
859 m20 1127 864 m20 1124 868 m20 1122 873 m20 /w 98
def /w2 {w 2 div} def /w3 {w 3 div} def 663 901 m20 666 902 m20 670 903 m20 673
904 m20 677 906 m20 680 907 m20 683 908 m20 687 909 m20 690 910 m20 694 911 m20
697 912 m20 /w 147 def /w2 {w 2 div} def /w3 {w 3 div} def 833 969 m20 836 968
m20 840 967 m20 843 966 m20 847 964 m20 850 963 m20 853 962 m20 857 961 m20 860
960 m20 864 959 m20 867 958 m20 /w 85 def /w2 {w 2 div} def /w3 {w 3 div} def
1009 975 m20 1011 972 m20 1013 970 m20 1015 968 m20 1018 966 m20 1020 963 m20
1022 961 m20 1025 959 m20 1027 957 m20 1029 954 m20 1031 952 m20 black
gsave 11 187
t 0 r 0 0 m
/Helvetica-Bold findfont 31 sf 0 0 m
(Parton)
show
gr
gsave 11 159
t 0 r 0 0 m
/Helvetica-Bold findfont 31 sf 0 0 m
(Distributions)
show
gr 1 lw 255 198 m 11 X s 266 312 m -114 Y s 278 312 m -12 X s 266 85 m 113 Y s
278 85 m -12 X s
gsave 11 414
t 0 r 0 0 m
/Helvetica-Bold findfont 31 sf 0 0 m
(Hard)
show
gr
gsave 11 385
t 0 r 0 0 m
/Helvetica-Bold findfont 31 sf 0 0 m
(SubProcess)
show
gr 312 408 m 11 X s 323 493 m -85 Y s 334 493 m -11 X s 323 323 m 85 Y s 334
323 m -11 X s
gsave 11 612
t 0 r 0 0 m
/Helvetica-Bold findfont 31 sf 0 0 m
(Parton)
show
gr
gsave 11 584
t 0 r 0 0 m
/Helvetica-Bold findfont 31 sf 0 0 m
(Cascade)
show
gr 255 606 m 11 X s 266 776 m -170 Y s 278 776 m -12 X s 266 436 m 170 Y s 278
436 m -12 X s
gsave 11 839
t 0 r 0 0 m
/Helvetica-Bold findfont 31 sf 0 0 m
(Hadronization)
show
gr 312 850 m 11 X s 323 935 m -85 Y s 334 935 m -11 X s 323 765 m 85 Y s 334
765 m -11 X s
gsave 11 1037
t 0 r 0 0 m
/Helvetica-Bold findfont 31 sf 0 0 m
(Decay)
show
gr 255 1048 m 11 X s 266 1105 m -57 Y s 278 1105 m -12 X s 266 992 m 56 Y s
278 992 m -12 X s
gsave 1020 555
t 0 r 0 0 m
/Helvetica-Bold findfont 31 sf 0 0 m
(+)
show
gr
gsave 1048 575
t 0 r 0 0 m
/Helvetica-Bold findfont 39 sf 0 0 m
(Minimum Bias)
show
gr
gsave 1048 530
t 0 r 0 0 m
/Helvetica-Bold findfont 39 sf 0 0 m
(Collisions)
show
gr
gr gr
showpage
end
%%EOF
/branches/HEPMC_02_01_branch/doc/HepMC2_user_manual.tex
@@ -1,4 +1,5 @@
\documentclass[11pt,letterpaper]{article}
\usepackage{epsfig}
\usepackage{graphicx}
\usepackage{graphics}
\usepackage{cite} % bibliographic sitations
@@ -68,7 +69,7 @@
\begin{titlepage}
{\tiny \LaTeX-ed on \today.}
 
\vspace{3cm}
\vspace{2cm}
 
\begin{center}
 
@@ -85,46 +86,189 @@
 
\vspace{1cm}
 
{\Large User Manual Version 2.0} \\
August 18, 2006
{\Large User Manual Version 2.01} \\
February 5, 2008
 
\vspace{2cm}
 
{\huge Lynn Garren} \\
{\huge Matt Dobbs} \\
University of Victoria, Canada
 
\vspace{.2cm}
 
{\Large J$\o$rgen Beck Hansen} \\
CERN
 
\vspace{.2cm}
 
{\Large Lynn Garren} \\
Fermi National Accelerator Laboratory
 
\vspace{.2cm}
 
{\Large Lars Sonnenschein} \\
CERN
 
\vspace{1cm}
 
\end{center}
\begin{abstract}
The HepMC package is an object oriented event record written in C++
for High Energy Physics Monte Carlo Generators. Many extensions
from HEPEVT, the Fortran HEP standard, are supported: the number of
entries is unlimited, spin density matrices can be stored with each
vertex, flow patterns (such as color) can be stored and traced,
integers representing random number generator states can be stored,
and an arbitrary number of event weights can be included. Particles
and vertices are kept separate in a graph structure, physically
similar to a physics event. The added information supports the
modularisation of event generators. The package has been kept as
simple as possible with minimal internal/external dependencies.
Event information is accessed by means of iterators supplied with
the package.
 
HepMC 2 is an extension to the original HepMC written by Matt Dobbs.
This manual is a companion to HepMC\_user\_manual.ps.
\end{abstract}
\end{titlepage}
 
\pagenumbering{arabic}
\setcounter{page}{1}
\tableofcontents
 
\newpage
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\section{Introduction}
This user manual is intended as a companion to both the
This user manual is intended as a companion to the
\htmladdnormallinkfoot{online documentation}
{http://lcgapp.cern.ch/project/simu/HepMC/} and the original
\htmladdnormallinkfoot{HepMC user manual}
{http://lcgapp.cern.ch/project/simu/HepMC/HepMC\_user\_manual.ps}
written by Matt Dobbs.
These manuals and the examples
{http://lcgapp.cern.ch/project/simu/HepMC/},
and together with the examples
should provide a friendly introduction to the HepMC event record. A
general overview is available in Ref.~\cite{dobbs:2000CompPhysComm}.
 
The HEP community has moved towards Object-Oriented computing tools
(usually C++): most upcoming experiments are choosing OO software
architecture, and Pythia 8~\cite{Torbjorn} and
Herwig++~\cite{Richardson}, written in C++, are available.
A standard event record must be simple for the end user to access information,
while maintaining the power and flexibility offered by OO design. The
HepMC event record has been developed to satisfy these criteria.
 
HepMC is an object oriented event record written in C++ for Monte
Carlo Generators in High Energy Physics. It has been developed
independent of a particular experiment or event generator. It is
intended to serve as both a ``container class'' for storing events after
generation and also as a ``framework'' in which events can be built up
inside a set of generators. This allows for the modularisation of
event generators---wherein different event generators could be
employed for different steps or components of the event generation
process (illustrated in Figure~\ref{modularisation}).
\footnote{
%
At the {\it Physics at TeV Colliders Workshop 2001} in Les
Houches, France, a group of Monte Carlo authors and experimentalists
produced a document~\cite{Boos:2001cv} which outlines the information
content necessary for two event generators to communicate information
about a hard process to the subsequent stages of event
generation. This was implemented in a set of Fortran common blocks,
and many ideas from HepMC were used, such as the scheme for handling
color flow information. Version 1.1 of HepMC supports the full event
information content of Ref.~\cite{Boos:2001cv} (run
information---pertaining to a collection of events---is also specified
in that document and is not addressed in HepMC). }
 
\begin{figure}[h]
\begin{center}
\Ovalbox{\begin{minipage}{5in}\begin{small}
\begin{tabular}{rcl}
$\overbrace{\mbox{Hard~Process~Generator}}^{
\mbox{\color{magenta}Specific NLO Generator}}$ &
$\stackrel{\rm \color{blue}Event~Record}{\rightarrow\rightarrow}$ &
$\overbrace{\mbox{Cascade~Package}}^{
\mbox{\color{magenta}ARIADNE}}$ \\
&
$\stackrel{\rm \color{blue}Event~Record}{\rightarrow\rightarrow}$ &
$\overbrace{\mbox{Hadronization~Package}}^{
\mbox{\color{magenta}Herwig}}$ \\
&
$\stackrel{\rm \color{blue}Event~Record}{\rightarrow\rightarrow}$ &
$\overbrace{\mbox{Decay~Package}}^{
\mbox{\color{magenta}EvtGen}}$ \\
&
$\stackrel{\rm \color{blue}Event~Record}{\rightarrow\rightarrow}$ &
$\overbrace{\mbox{Detector~Simulation}}^{
\mbox{\color{magenta}ATLfast}}$ \\
\end{tabular}\end{small}
\end{minipage}}\end{center}
\caption{\label{modularisation}
HepMC supports the concept of modularised event generation
(illustrated above) by containing sufficient information within the
event record to act as a messenger between two modular steps in
the event generation process. }
\end{figure}
 
 
Physics events are generally visualised using diagrams with a graph structure
(Figure~\ref{graph_structure}, left) which HepMC imitates by separating
out particles from vertices and representing them as the edges and
nodes respectively of a graph~\footnote{
Ref.~\cite{mc++} uses a similar structure.}
(Figure~\ref{graph_structure}, right). Each vertex maintains a listing of
its incoming and outgoing particles, while each particle points back
to its production vertex and decay vertex.
The extension to multiple collisions is natural - the
super-position of graphs from several different initial processes -
and so the event may contain an unlimited number
of (possibly interconnected) graphs.
The number of vertices/particles in each event is also open-ended.
A subset of the event (such as one connected graph or a single vertex
and its descendants) may be examined or modified without having to
interpret complex parent/child relationship codes or re-shuffle the rest
of the event record.
 
\begin{figure}[h]
\begin{center}
\parbox[c]{55mm}{\includegraphics[height=45mm,clip=]
{physicist_visualization.eps}}
\mbox{\huge ${\stackrel{\rm HepMC}{\rightarrow}}$}
\parbox[c]{45mm}{\includegraphics[height=45mm,clip=]
{graph_interpretation.eps}}
\end{center}
\caption{\label{graph_structure} Events in HepMC are stored in a graph
structure (right), similar to a physicist's visualisation of a
collision event (left).}
\end{figure}
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\section{Why HepMC 2?}
\subsection{Features of the HepMC Event Record}
 
\begin{itemize}\setlength{\itemsep}{0pt}
\item simple - easy access to information provided by iterators
\item minimum dependencies
\item information is stored in a graph structure,
physically similar to a collision event
\item allows for the inclusion of spin density matrices
\item allows for the tracing of an arbitrary number of flow patterns
\item ability to store the state of random number generators (as
integers)
\item ability to store an arbitrary number of event weights
\item strategies for conversion to/from HEPEVT\ref{Boos:2001cv} which
are easily extendible to support other event records
\item strategies for input/output to/from ascii files which
are easily extendible to support other forms of persistency
\end{itemize}
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\section{HepMC 2}
 
Since January 2006, HepMC has been supported as an LCG external package.
The official web site is now \htmladdnormallink
{http://savannah.cern.ch/projects/hepmc/}
@@ -143,35 +287,23 @@
represents a change to the code and a version number change in \emph{yy}
represents a bug fix.
 
There have also been continuing requests for other features.
Changes to HepMC must be approved by the LCG simulation project.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{Changes since HepMC 1.26}
\subsection{Overview of Changes Since HepMC 1.26}
 
The HepMC\_CLHEP20.h header defines several typedefs needed when
compiling with CLHEP 2.0.xx.yy.
See the HepMC ChangeLog~\cite{changelog} for a complete listing.
 
The IO\_AsciiParticles class provides output in the pythia style.
 
GenEvent now contains pointers to a heavy ion class and a PDF information class.
The pointers are set to zero by default.
The pointers are null by default.
 
The new ascii output class, IO\_ExtendedAscii, will read and write the heavy
ion and PDF information classes. It also reads and writes the generated mass.
 
Some tests have been added to the distribution (e.g., "make check" now works).
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{Changes as of HepMC 2.00.00}
 
GenParticle momentum and GenVertex position are represented by a simple FourVector
class instead of the CLHEP Lorentz vectors.
The SimpleVector.h header contains the FourVector and ThreeVector classes.
GenParticle momentum and GenVertex position are represented by a FourVector.
GenVertex will return the ThreeVector portion of the position.
Polarization will accept or return a ThreeVector representation
of the polarization.
@@ -181,8 +313,8 @@
with \emph{any} Lorentz vector, as long as the Lorentz vector has
\verb!x()!, \verb!y()!, \verb!z()!, and \verb!t()! methods.
 
In addition, the generated mass is now stored in GenParticle.
This additional information has always been part of the HEPEVT common block.
The generated mass, which has always been part of the HEPEVT common block,
is now stored in GenParticle.
When a particle has large momentum and small mass,
calculating the mass from the momentum is unreliable.
Also, different machine representations and roundoff errors mean that
@@ -190,13 +322,141 @@
If no generated mass is set, then the mass is calculated from the momementum
and stored in GenParticle.
 
Use IO\_ExtendedAscii to read and write the generated mass.
The IO\_AsciiParticles class provides output in the Pythia style.
This output is intended for ease of reading event output, not for persistency.
 
Use IO\_ExtendedAscii to read and write the generated mass, as well
as the heavy ion class and a PDF information class.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\section{Package Structure}
 
Entries within the event record are separated into particles and
vertices. Each particle is composed of momentum, flow, and
polarization classes as well as id and status information.
The vertices are the connection nodes
between particles and are a container class for particles: thus each
particle within an event belongs to at least one vertex. In addition
the vertex is composed of position, id, and (spin density matrix)
weight information. Particles and vertices are uniquely identified by
an integer---referred to as a ``barcode''---which is meant to be a
persistent label for a particular particle instance.
The event is the container class for all (possibly
inter-connected) vertices in the event and contains process id, event
number, weight, and random number state information.
 
Iterators are provided as methods of the vertex and event classes
which allow easy directed access to information in the C++ Standard
Template Library (STL) style.
 
The event record class relationships and the particle
data class relationships are shown in Figure~\ref{UML_diagrams}.
 
\begin{figure}[h]
\begin{center}
\includegraphics[width=\textwidth,clip=]{HepMC_basic_properties.eps}
\end{center}
\caption{\label{UML_diagrams} Class diagrams for the event record
classes (GenEvent, GenVertex, and GenParticle) and the IO strategies
are shown in the UML notation.}
\end{figure}
 
Several input/output strategies are provided. The interface for these
strategies is defined by an abstract base class, IO\_BaseClass. These
strategies are capable of input/output of events and as such they depend
directly on the event record class.
 
The package consists of about 5500~lines of code including
$\approx$1500~comments. There are 7 core classes (GenEvent,
GenVertex, GenParticle, Flow, Polarization, WeightContainer,
IO\_BaseClass) and several utility classes (i.e.\ IO\_HEPEVT, IO\_Ascii,
HEPEVT\_Wrapper, PythiaWrapper, \ldots).
 
\subsection{Dependencies}
 
The HepMC 2 package depends only on the C++ Standard
Template Library~\cite{stl} (STL).
 
The HepMC 1 package dependencies were limited to STL
and the vector classes from the
Class Library for High Energy Physics~\cite{clhep} (CLHEP). Simple
wrappers for the Fortran versions of Pythia~\cite{Sjostrand:2001yb}
and Herwig are supplied with the
package to allow the inclusion of event generation examples.
 
\subsection{Namespace}
 
The HepMC package is written within the HepMC:: namespace. Outside of
this namespace all class names will need to be prefixed by HepMC::.
 
\subsection{Performance}
 
The CPU time performance of the HepMC event record has been quantified
by generating 1000 LHC $W\gamma$ production events using Pythia 5.7
and transferring the event record to HepMC using the IO\_HEPEVT
strategy. Results are summarised in Table~\ref{benchmarks}.
Generation of events in Pythia required 29 seconds of CPU time.
Generating the same events and transferring them into HepMC required
34 seconds.
 
\begin{table}[h]
\begin{center}
\begin{tabular}{|l l l|c|c|} \hline
&&&CPU Time & File Size \\ \hline
Pythia & & & 29 sec & \\
& + {\color{red}HepMC} & & 34 sec & \\ \hline
& + {\color{red}HepMC} & + {\color{red}IO\_Ascii}
& 64 sec & 60.5 Mbytes \\
& + {\color{green}LCWRITE} &
& 92 sec & 106 Mbytes \\
\multicolumn{3}{|l|}{HEPEVT raw size 1K events, 500K particles}
&& 48.2 Mbytes \\ \hline
\end{tabular}
\end{center}
\caption{\label{benchmarks}
CPU time performance and file size using a dedicated 450 MHz Pentium~III.}
\end{table}
 
The time to write HepMC events as ascii files using the IO\_Ascii
strategy was compared to \verb!LCWRITE!, a simple Fortran routine used
in NLC studies to write the HEPEVT common block in formatted ascii to file.
Generating the events with Pythia, transferring them to HepMC, and
writing them to file took 64~seconds and produced a 60.5~Mbyte file.
Generating the events with Pythia and writing them to file using the
\verb!LCWRITE! subroutine took 92~seconds and produced a 106~Mbyte
file. Compression algorithms (such as \verb!gzip!) can reduce the file
sizes by a factor 3 or more. The raw size of the HEPEVT common block
for these 1000~events (which in this case produced about 500K~particles) is
48.2~Mbytes. In both cases most CPU time is spent writing to file.
HepMC benefits from added logic when interpreting the record and from
position information which is stored once for each vertex, rather than
with every particle.
 
CPU time savings will be realized when HepMC is
used inside event generators - since it is possible to target and
modify one area of the particle/vertex graph without re-shuffling the
rest of the event record.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\section{Overview of Core Classes}
 
\underline{\bf NOTE ABOUT UNITS}:
HepMC does not define which units are used for the information stored
in the event record.
The HEPEVT standard uses GeV/mm, and so the output from most Fortran
generators will normally be in these units.
CLHEP uses MeV/mm, and some collaborations such as ATLAS
have adopted these units for their simulation.
Due to this ambiguity all mention of units has been removed from
the HepMC documentation.
HepMC users should refer to the code that fills the event record
to determine which units are being used.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
@@ -226,7 +486,7 @@
\myitem{signal\_process\_id}{an integer ID uniquely specifying the
signal process (i.e.\ MSUB in Pythia).}
\myitem{event\_number}{integer}
\myitem{event\_scale}{(optional) the scale of this event in GeV.
\myitem{event\_scale}{(optional) the scale of this event.
(-1 denotes unspecifed)}
\myitem{alphaQCD}{(optional) the value of the strong coupling
constant $\alpha_{QCD}$
@@ -237,10 +497,12 @@
\myitem{signal\_process\_vertex}{(optional) pointer to the vertex
defined as the signal process - allows fast navigation to the core
of the event}
\myitem{beam\_particle\_1}{(optional) pointer to the first incoming beam particle }
\myitem{beam\_particle\_2}{(optional) pointer to the second incoming beam particle }
\myitem{weights}{a container of an arbitrary number of 8 byte
floating point event weights}
\myitem{random\_states}{a container of an arbitrary number of doubles
which define the random number generator state just
\myitem{random\_states}{a container of an arbitrary number of 4 byte
integers which define the random number generator state just
before the event generation}
\myitem{heavy\_ion}{(optional) a pointer to a HeavyIon object
(zero by default)}
@@ -266,8 +528,20 @@
have been implemented such that if left empty/unused performance and memory
usage will be similar to that of an event without these features.
 
Iterators are provided as members of the GenEvent class and are
described in HepMC\_user\_manual.ps.
Iterators are provided as members of the GenEvent class
(described in Section~\ref{iterators}). Methods which fill containers of
particles or vertices are {\it not provided}, as the STL provides these
functionalities with algorithms such as \verb!copy! and iterator adaptors
such as \verb!back_inserter! giving a clean generic approach.
Using this functionality it is easy to obtain lists of
particles/vertices given some criteria - such as a list of all final
state particles. Classes which provide the criteria (called
predicates) are also {\it not provided}, as the number of
possibilities is open ended and specific to the application -
and would clutter the HepMC package. Implementing a predicate is
simple (about 4 lines of code).
Examples are given in the GenEvent header file and in
\verb!example_UsingIterators.cc! (Section~\ref{examples}).
 
The signal\_process\_id is packaged with each event (rather than being
associated with a run class for example) to handle the possibility of
@@ -275,10 +549,55 @@
tags specifying the meaning of the weights and random\_states entries
is envisioned as part of a run class - which is beyond the scope of an
event record.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsubsection{HepMC::PdfInfo}
\begin{myitemize}{Relevant Data Members}
\myitem{id1}{flavour code of first parton}
\myitem{id2}{flavour code of second parton }
\myitem{x1}{fraction of beam momentum carried by first parton ("beam side")}
\myitem{x2}{fraction of beam momentum carried by second parton ("target side")}
\myitem{scalePDF}{Q-scale used in evaluation of PDF's (in GeV)}
\myitem{pdf1}{PDF (id1, x1, Q)}
\myitem{pdf2}{PDF (id2, x2, Q)}
\end{myitemize}
 
PdfInfo stores additional PDF information for a GenEvent.
Creation and use of this information is optional.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsubsection{HepMC::HeavyIon}
\begin{myitemize}{Relevant Data Members}
\myitem{Ncoll\_hard}{Number of hard scatterings}
\myitem{Npart\_proj}{Number of projectile participants}
\myitem{Npart\_targ}{Number of target participants}
\myitem{Ncoll}{Number of NN (nucleon-nucleon) collisions}
\myitem{N\_Nwounded\_collisions}{Number of N-Nwounded collisions}
\myitem{Nwounded\_N\_collisions}{Number of Nwounded-N collisons}
\myitem{Nwounded\_Nwounded\_collisions}{Number of Nwounded-Nwounded collisions}
\myitem{spectator\_neutrons}{Number of spectators neutrons}
\myitem{spectator\_protons}{Number of spectators protons}
\myitem{impact\_parameter}{Impact Parameter(fm) of collision}
\myitem{event\_plane\_angle}{Azimuthal angle of event plane}
\myitem{eccentricity}{eccentricity of participating nucleons
in the transverse plane (as in phobos nucl-ex/0510031)}
\myitem{sigma\_inel\_NN }{nucleon-nucleon inelastic
(including diffractive) cross-section}
\end{myitemize}
 
HeavyIon provides additional information storage in GenEvent for Heavy Ion
generators. Creation and use of this information is optional.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{HepMC::GenVertex}
\begin{myitemize}{Important Public Methods}
\myitem{add\_particle\_in}{adds the specified particle to the
@@ -305,8 +624,6 @@
\end{myitemize}
\begin{myitemize}{Notes and Conventions}
\item no standards are currently defined for the vertex id
\item we presume that the position is in mm, but no part of HepMC
enforces this
\item once a particle is added, the vertex becomes its owner and is
responsible for deleting the particle
\end{myitemize}
@@ -314,10 +631,42 @@
The GenVertex is the container class for particles and forms the nodes
which link particles into a graph structure.
 
The weights container is included with each vertex with the intention
of storing spin density matrices. It is envisioned that a
generator package would assign spin density matrices to particle
production vertices and provide the functional form of the frame
definition for the matrix as a ``look-up'' method for interpreting
the weights. The generator package would also provide a boost method
to go from the frame of the density matrix to the lab frame and back
without destroying correlations. This gives maximum freedom to the
sub-generators - allowing for different form definitions.
This implementation is consistent with the EvtGen B-decay
package~\cite{evtgen} requirements.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{HepMC::WeightContainer}
\begin{myitemize}{Relevant Data Members}
\myitem{weights}{a vector of 8-byte floating point weights}
\end{myitemize}
\begin{myitemize}{Notes and Conventions}
\item methods are coded and names chosen in the spirit of the
STL vector class
\end{myitemize}
 
The WeightContainer is just a storage area for double precision
weights used in GenEvent and GenVertex. It is essentially an interface
to the STL vector class, and its member functions are chosen in that
spirit.
You might, for instance, use the GenEvent weights to include
information about differential cross sections.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{HepMC::GenParticle}
\begin{myitemize}{Important Public Methods}
\myitem{operator FourVector}{conversion operator -
@@ -343,8 +692,6 @@
within the event. For particles the barcodes are always positive integers.}
\end{myitemize}
\begin{myitemize}{Notes and Conventions}
\item we presume that the momentum is in GeV, but no part of HepMC
enforces this
\item the particle ID should be specified according to the
PDG standard~\cite{Yao:2006tx}
\item status codes are as defined for
@@ -363,6 +710,7 @@
tracking in the detector
\end{tabbing}
}
 
\end{myitemize}
 
The particle is the basic unit within the event record. The GenParticle
@@ -374,10 +722,61 @@
the particles\_in container of a vertex will automatically set the
end\_vertex of the particle to point to that vertex.
 
The definition of a HepLorentzVector scope resolution operator allows
for the use of 4-vector algebra with particles (i.e.\ preceding an
instance, \verb!particle!, of the HepMC::GenParticle class by
\verb!(HepLorentzVector)particle! causes it to behave exactly like
its 4-vector momentum, examples are given in the particle header file).
 
A second 4-vector for the particle's momentum at decay time has
{\it not} been included (as for example in~\cite{mc++}, where the
second momentum vector is included to facilitate tracking through
material). If this is desirable, one can simply add a decay vertex
with the same particle type going out. This is intuitive, since a
change in momentum cannot occur without an interaction (vertex).
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsubsection{HepMC::Flow}
\begin{myitemize}{Important Public Methods}
\myitem{connected\_partners}{returns a container of all particles
connected via the specified flow pattern}
\myitem{dangling\_connected\_partners}{returns a container of all
particles ``dangling'' from the ends of the specified flow
pattern}
\end{myitemize}
\begin{myitemize}{Relevant Data Members}
\myitem{particle\_owner}{points back to the particle to which
the flow object belongs}
\myitem{icode map}{container of integer flow codes - each entry has
an index and an icode}
\end{myitemize}
\begin{myitemize}{Notes and Conventions}
\item code indices 1 and 2 are reserved for color flow
\end{myitemize}
 
The Flow class is a data member of the GenParticle---its use is
optional. It stores flow
pattern information as a series of integer flow codes and indices.
This method features the possibility
of storing non-conserved flow patterns (such as baryon number
violation in SUSY models).
Some examples of integer flow code representation for several events
are provided in Ref.~\cite{Boos:2001cv}.
 
The Flow class is used to keep track of flow patterns within a graph -
each pattern is assigned a unique integer code, and this code is
attached to each particle through which it passes. Different flow
types are assigned different flow indices, i.e.\ color flow uses index
1 and 2. Methods are provided to return a particle's flow partners. An
example is given at the top of the Flow header file.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsubsection{HepMC::Polarization}
\begin{myitemize}{Relevant Data Members}
\myitem{theta}{$\theta$ angle in radians $0\leq\theta\leq\pi$}
@@ -396,14 +795,39 @@
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsubsection{HepMC::FourVector}
\begin{myitemize}{Important Public Methods}
\item A number of simple vector manipulations are available.
Check the reference manual for details.
\end{myitemize}
\begin{myitemize}{Relevant Data Members}
\myitem{x}{position x or momentum px}
\myitem{y}{position y or momentum py}
\myitem{z}{position z or momentum pz}
\myitem{t}{time or energy}
\end{myitemize}
 
GenParticle momentum and GenVertex position are stored as FourVectors.
FourVector has a templated constructor that will automatically convert
any other vector with x(), y(), z(), and t() access methods to a FourVector.
This feature is used when converting from the HEPEVT common block.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{HepMC::IO\_BaseClass}
\begin{myitemize}{Important Public Methods}
\myitem{write\_event}{writes out the specified event to the output
strategy}
\myitem{read\_next\_event}{reads the next event from the input
strategy into memory}
\myitem{write\_particle\_data\_table}{writes out the specified
particle data table to the output strategy}
\myitem{read\_particle\_data\_table}{reads a particle data table from
the input strategy}
\myitem{operator$<<$,operator$>>$}{overloaded to give the
same results as the above methods}
same results as any of the above methods}
\end{myitemize}
 
IO\_BaseClass is the abstract base class defining the interface and
@@ -418,8 +842,8 @@
Events may be contained within the same file together with
an unlimited number of comments. The majority of examples listed in
Section~\ref{examples} make use of this class.
\item {\bf IO\_AsciiParticles} writes events to files in machine
readable ascii using a format similar to that used by pythia.
\item {\bf IO\_AsciiParticles} writes events in a format similar to
Pythia 6 output. This is intended for human readability.
\item {\bf IO\_ExtendedAscii} reads and writes events to files
in machine readable ascii, thereby providing a
form of persistency for the event record.
@@ -443,43 +867,318 @@
\end{tabbing}
To interface properly to HEPEVT and avoid nonsensical
results, it is essential to get these definitions right
{\it for your application}.
{\it for your application}. See example\_MyPythia.cc
(Section~\ref{examples}) for an example.
}).
This IO strategy
provides the means for interfacing to Fortran event
generators. Other strategies which interface directly to the
specific event record of a generator could be easily implemented
in this style. An example of using IO\_HEPEVT to transfer events
from Pythia into HepMC is given in \verb!example_MyPythia.cc!.
from Pythia into HepMC is given in \verb!example_MyPythia.cc!
(Section~\ref{examples}).
\end{itemize}
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsubsection{HepMC::ParticleData}
 
\begin{myitemize}{Relevant Data Members}
\myitem{name}{std::string giving an ascii description of the
particle type}
\myitem{pdg\_id}{unique ID integer denoting the particle type
as defined by the PDG}
\myitem{charge}{in fraction of proton charge}
\myitem{mass}{in energy units}
\myitem{c$\times$lifetime}{particle lifetime in [mm]}
\myitem{spin}{}
\end{myitemize}
\begin{myitemize}{Notes and Conventions}
\item the lifetime can be set by specifying either
the lifetime or the width
\item c$\times$lifetime=-1 specifies a stable particle (zero width)
\item The ParticleData and ParticleDataTable classes have become outmoded.
Instead of using these classes, we recommend using packages developed
for this purpose, such as HepPDT~\cite{heppdt}.
\end{myitemize}
 
The ParticleData and ParticleDataTable classes have become outmoded.
Instead of using these classes, we recommend using packages developed
for this purpose, such as HepPDT~\cite{heppdt}.
 
Data for each particle type (mass, lifetime, charge, etc.) can be
stored as particle data objects for which a particle data table
container is provided. There are no dependencies between the particle
data objects and the other elements of the event - the relationship
exists only by means of the particle id which is used to lookup
information from within a particle data table. As such the data table
and event record are separate modular entities which need not be used
in conjunction (a user may choose to employ the event record while
using his own particle data classes).
 
ParticleData class stores information about a particular particle
type. It is intended that a different ParticleData object is created
for each particle and each anti-particle - necessary for CP violation
cases. The charge and spin are stored internally as integers representing
$\frac{\mbox{proton charge}}{3}$ and $\frac{\mbox{photon spin}}{2}$
respectively.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsubsection{HepMC::ParticleDataTable}
 
\begin{myitemize}{Important Public Methods}
\myitem{find}{returns the ParticleData instance with the specified
pdg\_id}
\myitem{operator[]}{equivalent to find}
\myitem{insert}{includes the specifed ParticleData instance in the
table}
\myitem{erase}{removes the specified ParticleData instance from the
table but does not delete it}
\myitem{iterator/const\_iterator}{iterates over all entries in the
table}
\myitem{make\_antiparticles\_from\_particles}{for each charged entry
in the table, makes an equivalent entry with opposite charge and
pdg\_id.}
\myitem{delete\_all}{removes all ParticleData instances from the
table and deletes them}
\myitem{merge\_table}{merges the entries from the specified
ParticleDataTable if they are not already in the current table}
\myitem{print}{gives a formatted printout of the table to the
specified output stream}
\end{myitemize}
\begin{myitemize}{Relevant Data Members}
\myitem{description}{ascii description of the table stored as
std::string}
\myitem{data\_table}{container of pointers to ParticleData instances
mapped onto their associated pdg\_id's}
\end{myitemize}
\begin{myitemize}{Notes and Conventions}
\item The ParticleData and ParticleDataTable classes have become outmoded.
Instead of using these classes, we recommend using packages developed
for this purpose, such as HepPDT~\cite{heppdt}.
\end{myitemize}
 
ParticleDataTable is a container for ParticleData instances - it is
basically just an interface to an STL map, and STL naming conventions
are employed. A ParticleData instance may belong to any number of
ParticleDataTables. The ParticleDataTable is not the owner of the
ParticleData instances and is not responsible for deleting them
(though a delete\_all method is provided). Two ParticleData instances
with identical pdg\_id's are forbidden from entering the same
ParticleDataTable.
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\section{Overview of Iterators}
\label{iterators}
 
Examples of using the particle/vertex iterators are provided in
\verb!example_UsingIterators.cc! (Section~\ref{examples}).
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{HepMC::GenEvent::vertex\_iterator}
 
GenEvent::vertex\_iterator inherits from
std::iterator<std::forward\_iterator\_tag,...>.
It walks through all vertices in the event exactly once. It is robust and
fast, and provides the best way to loop over all vertices in the
event. For each event,
vertices\_begin() and vertices\_end() define the beginning and
one-past-the-end of the particle iterator respectively.
 
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{HepMC::GenEvent::vertex\_const\_iterator}
 
A constant version of HepMC::GenEvent::vertex\_iterator, otherwise identical.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{HepMC::GenEvent::particle\_iterator}
 
GenEvent::particle\_iterator inherits from
std::iterator<std::forward\_iterator\_tag,...>.
It walks through all particles in the
event exactly once. It is robust and fast, and provides the best way
to loop over all particles in the event. For each event,
particles\_begin() and particles\_end() define the beginning and
one-past-the-end of the particle iterator respectively.
 
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{HepMC::GenEvent::particle\_const\_iterator}
 
A constant version of HepMC::GenEvent::particle\_iterator, otherwise
identical.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{HepMC::GenVertex::vertex\_iterator}
\begin{myitemize}{Notes and Conventions}
\item the iterator range must be specified to instantiate -
choices are: parents, children, family, ancestors, descendants,
and relatives
\item note: iterating over all ancestors and all descendents is {\it
not} necessarily equivalent to all relatives - this is consitent
with the range definitions
\end{myitemize}
 
GenVertex::vertex\_iterator differs from GenEvent::vertex\_iterator
in that it has both a starting point and a range. The starting point
is the vertex - called the root - from which the iterator was
instantiated, and the range is defined relative to this point.
The possible ranges are defined by an enumeration called
HepMC::IteratorRange and the possibilities are:
\begin{itemize}\setlength{\itemsep}{0pt}
\myitem{parents}{walks over all vertices connected to the root via
incoming particles}
\myitem{children}{walks over all vertices connected to the root via
outgoing particles}
\myitem{family}{walks over all vertices connected to the root via
incoming or outgoing particles}
\myitem{ancestors}{walks over all vertices connected to the root via
any number of incoming particle edges - i.e. returns the parents,
grandparents, great-grandparents, \ldots}
\myitem{descendants}{walks over all vertices connected to the root via
any number of outgoing particle edges - i.e. returns the children,
grandchildren, great-grandchildren, \ldots}
\myitem{relatives}{walks over all vertices belonging to the same
particle/vertex graph structure as the root}
\end{itemize}
 
The iterator algorithm traverses the graph by converting it to a tree
(by ``chopping'' the edges at the point where a closed cycle connects
to an already visited vertex) and returning the vertices in post
order. The iterator requires more logic than the
GenEvent::vertex\_iterator and thus access time is slower (the
required to return one vertex goes like $\log n$ where $n$ is the
number of vertices already returned by the iterator).
 
GenVertex::vertex\_iterator allows the user to step into a specific part
of a particle/vertex graph and obtain targetted information about it.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\subsection{HepMC::GenVertex::particle\_iterator}
\begin{myitemize}{Notes and Conventions}
\item the iterator range must be specified to instantiate -
choices are: parents, children, family, ancestors, descendants,
and relatives
\end{myitemize}
 
GenVertex::particle\_iterator behaves exactly like
GenVertex::vertex\_iterator, with the exception that it returns particles
rather than vertices. As a particle defines an edge or line (rather
than a point) in the particle/vertex graph, it is intuitive to define
the particle\_iterator relative to a vertex (point in the graph) - thus
the starting point (root) is still a vertex, and the range is defined
relative to this root. The extension to particles can be made by
using the particle's production or end vertex as the root. Possible
ranges are defined by an enumeration called HepMC::IteratorRange and
the possibilities are:
\begin{itemize}\setlength{\itemsep}{0pt}
\myitem{parents}{walks over all particles incoming to the root}
\myitem{children}{walks over all particles outgoing from the root}
\myitem{family}{walks over all particles incoming or outgoing from
the root}
\myitem{ancestors}{walks over all incoming particles or particles
incoming to ancestor vertices of the root - i.e. returns the parents,
grandparents, great-grandparents, \ldots}
\myitem{descendants}{walks over all outgoing particles or particles
outgoing to descendant vertices of the root - i.e. returns the children,
grandchildren, great-grandchildren, \ldots}
\myitem{relatives}{walks over all particles belonging to the same
particle/vertex graph structure as the root}
\end{itemize}
 
The class is composed of a GenVertex::vertex\_iterator -
and the same considerations apply.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\section{Building HepMC}
 
Source code, binary and source code tarballs, bug tracking, etc. are
all available from the HepMC web pages~\cite{LCGHepMC} at
\htmladdnormallink
{https://savannah.cern.ch/projects/hepmc/}
{https://savannah.cern.ch/projects/hepmc/}.
 
Source code tarballs are on the download page:
\htmladdnormallink
{http://lcgapp.cern.ch/project/simu/HepMC/download/}
{http://lcgapp.cern.ch/project/simu/HepMC/download/}.
 
\vspace{0.5cm}
\begin{myitemize}
{The following recipe is a guideline and should be modified according to taste.}
\myitem{download source code tarball}{}
\myitem{mkdir cleanDIR}{Make a new directory to work in.}
\myitem{cd cleanDIR}{}
\myitem{tar -xzf HepMCtarball}{Unwind the tarball you downloaded.}
\myitem{mkdir build install}{Define directories for building and installation.}
\myitem{cd build}{This is your real working directory.}
\myitem{../../HepMC-release/configure --prefix=../install}
{--prefix tells the tools where to install the library and headers.
The default install location is /usr/local.}
\myitem{make}{Compile HepMC.}
\myitem{make check}{Run the tests. This is optional but strongly recommended.}
\myitem{make install}{Install everything in your specified directory. }
\end{myitemize}
 
Binary downloads are available for some releases.
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\section{Examples}
\label{examples}
Examples are in the examples directory of the package
Examples are provided in the examples directory of the package
and are installed in the installation directory under examples/HepMC.
Tests, found in the test directory of the package, also provide useful examples.
The tests are not installed.
 
\begin{itemize}\setlength{\itemsep}{0pt}
\item{\bf Using the HepMC vertex and particle iterators:}
{example\_UsingIterators.cc}
\item{\bf Using HepMC with Pythia:}
\item{\bf Using HepMC with Pythia (Fortran):}
{example\_MyPythia.cc,
example\_MyPythiaOnlyToHepMC.cc,
example\_MyPythiaRead.cc,
example\_MyPythiaWithEventSelection.cc, and
example\_MyPythiaOnlyToHepMC.cc, and
example\_PythiaParticle.cc
}
\item{\bf An Event Selection with Pythia Events:}
{example\_MyPythiaWithEventSelection.cc}
\item{\bf Event Selection and Ascii IO}
{example\_EventSelection.cc}
\item{\bf Using HepMC with Herwig:}
{example\_MyHerwig.cc}
\item{\bf Event selection:}
{example\_MyPythiaWithEventSelection.cc}
\item{\bf Write an event file and then read it:}
{example\_MyPythiaRead.cc}
\item{\bf Build an event from scratch:}
\item{\bf Building an Event from Scratch in the HepMC Framework:}
{example\_BuildEventFromScratch.cc}
\end{itemize}
 
@@ -487,6 +1186,21 @@
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\section{Acknowlegements}
 
We would like to acknowlege useful suggestions, consultations, and
comments from: Ian Hinchliffe, Pere Mato, H.T. Phillips, Anders Ryd,
Maria Smizanska, and Brian Webber. R.D.\ Schaffer and Lassi
Tuura provided many useful suggestions on the package architecture.
Thanks to Witold Pokorski and Pere Mato for providing the fixes that
make HepMC compile and run on Windows with Microsoft Visual C++.
 
 
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
 
\begin{thebibliography}{99}
 
\bibitem{dobbs:2000CompPhysComm}
@@ -495,13 +1209,27 @@
published) \htmladdnormallink{[ATL-SOFT-2000-001]}
{http://weblib.cern.ch/}.
 
\bibitem{stdhep5.05}
L.~Garren, ``StdHep 5.05 Monte Carlo Standardization at FNAL,''
Fermilab PM0091. Available from
\htmladdnormallink
{http://cepa.fnal.gov/psm/stdhep/}
{http://cepa.fnal.gov/psm/stdhep/}.
\bibitem{Torbjorn}
Pythia 8.1 available at \htmladdnormallink
{http://www.thep.lu.se/~torbjorn/pythiaaux/present.html}
{http://www.thep.lu.se/~torbjorn/pythiaaux/present.html}.
 
\bibitem{Richardson}
Herwig++ 2.1 available at \htmladdnormallink
{http://projects.hepforge.org/herwig/}
{http://projects.hepforge.org/herwig/}.
 
\bibitem{Boos:2001cv}
E.~Boos {\it et al.},
``Generic user process interface for event generators,''
arXiv:hep-ph/0109068.
 
\bibitem{mc++}
S.~Protopopescu, ``MC++ Interface''.
Available from \htmladdnormallink
{http://ox3.phy.bnl.gov/\~serban/mcpp/index.html}
{http://ox3.phy.bnl.gov/\~serban/mcpp/index.html}.
 
\bibitem{clhep}
``A Class Library for High Energy Physics,'' (CLHEP).
Available from
@@ -509,11 +1237,54 @@
{http://wwwasd.web.cern.ch/wwwasd/lhc++/clhep/}
{http://wwwasd.web.cern.ch/wwwasd/lhc++/clhep/}.
 
\bibitem{changelog}
Latest HepMC ChangeLog available at \htmladdnormallink
{http://simu.cvs.cern.ch/cgi-bin/simu.cgi/simu/HepMC/ChangeLog?view=markup}
{http://simu.cvs.cern.ch/cgi-bin/simu.cgi/simu/HepMC/ChangeLog?view=markup}.
 
\bibitem{stl}
A.A.~Stepanov, M.~Lee, ``The Standard Template Library,''
Hewlett-Packard Laboratories Technical Report HPL-94-34, April 1994,
revised July 7, 1995.
%%``Public domain implementation of the standard template library'',
Available from \htmladdnormallink{ftp://butler.hpl.hp.com/stl/}
{ftp://butler.hpl.hp.com/stl/}.
 
\bibitem{Sjostrand:2001yb}
T.~Sjostrand {\it et al.},
``High-energy physics event generation with PYTHIA 6.1,''
Comput.\ Phys.\ Commun.\ {\bf 135}, 238 (2001).
 
\bibitem{evtgen}
A.~Ryd, D.~Lange,
``The EvtGen package for simulating particle decays,''
Computing in High Energy Physics, Chicago, Illinois, USA (1998).
 
\bibitem{Yao:2006tx}
W.-M.~Yao {\it et al.}, ``Review of particle physics,''
Journal\ of\ Physics {\bf G33}, 1 (2006).
Available from \htmladdnormallink{http://pdg.lbl.gov/}{http://pdg.lbl.gov/}.
 
 
\bibitem{stdhep5.05}
L.~Garren, ``StdHep 5.05 Monte Carlo Standardization at FNAL,''
Fermilab PM0091. Available from
\htmladdnormallink
{http://cepa.fnal.gov/psm/stdhep/}
{http://cepa.fnal.gov/psm/stdhep/}.
 
\bibitem{LCGHepMC}
``a C++ Event Record for Monte Carlo Generators,'' (HepMC).
Available from
\htmladdnormallink
{https://savannah.cern.ch/projects/hepmc/}
{https://savannah.cern.ch/projects/hepmc/}.
 
\bibitem{heppdt}
HepPDT is available at \htmladdnormallink
{http://savannah.cern.ch/projects/heppdt/}
{http://savannah.cern.ch/projects/heppdt/}.
 
\end{thebibliography}
 
%
New file
/branches/HEPMC_02_01_branch/doc/graph_interpretation.eps
@@ -0,0 +1,152 @@
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83 /spade 84 /heart 85 /diamond 86 /club 87 /lessequal
88 /multiply 89 /percent 90 /infinity 48 /circlemultiply 49 /circleplus
50 /emptyset 51 /lozenge 52 /bullet 53 /arrowright 54 /arrowup
55 /arrowleft 56 /arrowdown 57 /arrowboth 48 /degree 44 /comma 43 /plus
45 /angle 42 /angleleft 47 /divide 61 /notequal 40 /equivalence 41 /second
97 /approxequal 98 /congruent 99 /perpendicular 100 /partialdiff 101 /florin
102 /intersection 103 /union 104 /propersuperset 105 /reflexsuperset
106 /notsubset 107 /propersubset 108 /reflexsubset 109 /element 110 /notelement
111 /gradient 112 /logicaland 113 /logicalor 114 /arrowdblboth
115 /arrowdblleft 116 /arrowdblup 117 /arrowdblright 118 /arrowdbldown
119 /ampersand 120 /omega1 121 /similar 122 /aleph ] def
/Symbol /Special accspe ReEncode
%%EndProlog
gsave .25 .25 scale gsave 0 0 t black [] 0 sd 1 lw 1132 1132 0 0 C
gsave 792 555
t 0 r 0 0 m
/Helvetica-Bold findfont 31 sf 0 0 m
(+)
show
gr
gsave 821 574
t 0 r 0 0 m
/Helvetica-Bold findfont 39 sf 0 0 m
(Minimum Bias)
show
gr
gsave 821 529
t 0 r 0 0 m
/Helvetica-Bold findfont 39 sf 0 0 m
(Collisions)
show
gr 2 lw 0 0 1 c /w 20 def /w2 {w 2 div} def /w3 {w 3 div} def 453 226 m20
black 441 57 m 12 169 d s 1 lw 451 204 m -8 -4 d 10 26 d 6 -27 d f 2 lw 430 396
m 23 -170 d s 1 lw 433 374 m -7 -6 d 4 28 d 12 -25 d f 2 lw 0 0 1 c 679 226 m20
black 691 57 m -12 169 d s 1 lw 681 204 m -8 -5 d 6 27 d 10 -26 d f 2 lw 702
396 m -23 -170 d s 1 lw 699 374 m -9 -3 d 12 25 d 4 -28 d f 2 lw 0 0 1 c 566
453 m20 black 566 340 m 113 Y s 1 lw 566 430 m -8 -4 d 8 27 d 8 -27 d f 2 lw 0
0 1 c 566 340 m20 black 453 226 m 113 114 d s 1 lw 550 323 m -9 3 d 25 14 d -13
-25 d f 2 lw 679 226 m -113 114 d s 1 lw 582 323 m -3 -8 d -13 25 d 25 -14 d f
2 lw 453 566 m 113 -113 d s 226 849 m 227 -283 d s 1 lw 241 831 m -4 -8 d -11
26 d 24 -16 d f 2 lw 0 0 1 c 226 849 m20 black 679 566 m -113 -113 d s 906 849
m -227 -283 d s 1 lw 891 831 m -9 2 d 24 16 d -11 -26 d f 2 lw 0 0 1 c 906 849
m20 453 566 m20 black 340 764 m 113 -198 d s 1 lw 351 744 m -5 -7 d -6 27 d 20
-19 d f 2 lw 0 0 1 c 340 764 m20 black 226 849 m 114 -85 d s 1 lw 245 835 m -2
-9 d -17 23 d 27 -10 d f 2 lw 453 906 m -113 -142 d s 1 lw 439 888 m -9 2 d 23
16 d -11 -26 d f 2 lw 0 0 1 c 453 906 m20 509 509 m20 black 538 792 m -29 -283
d s 1 lw 535 770 m -8 -4 d 11 26 d 5 -27 d f 2 lw 0 0 1 c 538 792 m20 black 453
906 m 85 -114 d s 1 lw 466 887 m -4 -8 d -9 27 d 22 -17 d f 2 lw 0 0 1 c 453
906 m20 black 623 962 m -85 -170 d s 1 lw 612 942 m -9 X 20 20 d -5 -28 d f 2
lw 0 0 1 c 623 962 m20 679 566 m20 black 736 736 m -57 -170 d s 1 lw 729 714 m
-9 -1 d 16 23 d -1 -28 d f 2 lw 0 0 1 c 736 736 m20 black 736 849 m -113 Y s 1
lw 736 826 m -8 -4 d 8 27 d 8 -27 d f 2 lw 0 0 1 c 736 849 m20 black 623 962 m
113 -113 d s 1 lw 639 946 m -3 -9 d -13 25 d 24 -13 d f 2 lw 792 962 m -56 -113
d s 1 lw 782 942 m -9 X 19 20 d -4 -28 d f 2 lw 0 0 1 c 792 962 m20 black 792
792 m -56 -56 d s 1 lw 776 776 m -8 3 d 24 13 d -13 -24 d f 2 lw 0 0 1 c 792
792 m20 black 792 962 m -170 Y s 1 lw 792 939 m -8 -4 d 8 27 d 9 -27 d f 2 lw
906 849 m -114 -57 d s 1 lw 885 839 m -7 5 d 28 5 d -21 -19 d f 2 lw 0 0 1 c
906 849 m20 black 113 906 m 113 -57 d s 1 lw 134 895 m -9 Y -21 20 d 28 -5 d f
2 lw 170 962 m 56 -113 d s 0 0 1 c 170 962 m20 black 85 1019 m 85 -57 d s 1 lw
104 1006 m -1 -9 d -18 22 d 27 -8 d f 2 lw 142 1019 m 28 -57 d s 1 lw 152 998 m
-6 -7 d -4 28 d 19 -21 d f 2 lw 170 1019 m -57 Y s 1 lw 170 996 m -8 -4 d 8 27
d 8 -27 d f 2 lw 396 991 m 57 -85 d s 1 lw 409 972 m -5 -8 d -8 27 d 22 -18 d f
2 lw 453 991 m -85 Y s 0 0 1 c 453 991 m20 black 425 1075 m 28 -84 d s 1 lw 432
1054 m -7 -7 d 28 Y 16 -23 d f 2 lw 481 1047 m -28 -56 d s 1 lw 471 1027 m -9 X
19 20 d -5 -28 d f 2 lw 594 1075 m 29 -113 d s 1 lw 600 1053 m -7 -6 d 1 28 d
15 -24 d f 2 lw 679 1075 m -56 -113 d s 1 lw 669 1055 m -9 X 19 20 d -5 -27 d f
2 lw 849 1047 m -57 -85 d s 1 lw 836 1028 m -9 1 d 22 18 d -8 -27 d f 2 lw 792
1047 m -85 Y s 0 0 1 c 792 1047 m20 black 764 1104 m 28 -57 d s 1 lw 774 1083 m
-5 -7 d -5 28 d 19 -21 d f 2 lw 821 1104 m -29 -57 d s 1 lw 810 1083 m -9 X 20
21 d -5 -28 d f 2 lw 934 962 m -28 -113 d s 0 0 1 c 934 962 m20 black 1019 1019
m -85 -57 d s 1 lw 1000 1006 m -8 5 d 27 8 d -18 -22 d f 2 lw 934 1019 m -57 Y
s 0 0 1 c 934 1019 m20 black 962 1075 m -28 -56 d s 1 lw 952 1055 m -9 X 19 20
d -5 -27 d f 2 lw 906 1075 m 28 -56 d s 1 lw 916 1055 m -6 -7 d -4 27 d 19 -20
d f 2 lw 1075 906 m -169 -57 d s 1 lw 1054 898 m -7 7 d 28 1 d -23 -17 d f
gr gr
showpage
end
%%EOF