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@@ -0,0 +1,2635 @@
+.\" Version:
+.ds RE 1.19
+.ig
+
+Copyright (C) 1991, 1992, 1993 Free Software Foundation, Inc.
+mgm is written by Jörgen Hägg (jh@efd.lth.se)
+
+mgm is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+mgm is distributed in the hope that it will be useful, but WITHOUT ANY
+WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License along
+with groff; see the file COPYING. If not, write to the Free Software
+Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
+
+Almost complete. The letter format is not included.
+Maybe as a separate package.
+Should be better as time goes.
+
+Please send bugreports with examples to jh@efd.lth.se.
+
+Naming convention stolen from mgs.
+Local names module*name
+Extern names module@name
+Env.var environ:name
+Index array!index
+..
+.warn
+.\" ####### init ######
+.\" Contents level [0:7], contents saved if heading level <= Cl
+.nr Cl 2
+.\" Eject page between LIST OF XXXX if Cp == 0
+.nr Cp 0
+.\" Debugflag
+.if !r D .nr D 0
+.\" Eject after floating display is output [0:1]
+.nr De 0
+.\" Floating keep output [0;5]
+.nr Df 5
+.\" space before and after display if == 1 [0:1]
+.nr Ds 1
+.\" Eject page
+.nr Ej 0
+.\" Equation lable adjust 0=left, 1=right
+.nr Eq 0
+.\" Em dash string
+.ds EM \-
+.\" Footnote spacing
+.nr Fs 1
+.\" H1-H7 heading counters
+.nr H1 0 1
+.nr H2 0 1
+.nr H3 0 1
+.nr H4 0 1
+.nr H5 0 1
+.nr H6 0 1
+.nr H7 0 1
+.\" Heading break level [0:7]
+.nr Hb 2
+.\" heading centering level, [0:7]
+.nr Hc 0
+.\" header format
+.ds HF 2 2 2 2 2 2 2
+.\" heading temp. indent [0:2]
+.\" 0 -> 0 indent, left margin
+.\" 1 -> indent to right , like .P 1
+.\" 2 -> indent to line up with text part of preceding heading
+.nr Hi 1
+.\" header pointsize
+.ds HP 0 0 0 0 0 0 0
+.\" heading space level [0:7]
+.nr Hs 2
+.\" heading numbering type
+.\" 0 -> multiple (1.1.1 ...)
+.\" 1 -> single
+.nr Ht 0
+.\" Unnumbered heading level
+.nr Hu 2
+.\" hyphenation in body
+.\" 0 -> no hyphenation
+.\" 1 -> hyphenation 14 on
+.nr Hy 1
+.\" text for toc, selfexplanatory. Look in the new variable section
+.ds Lf LIST OF FIGURES
+.nr Lf 1
+.ds Lt LIST OF TABLES
+.nr Lt 1
+.ds Lx LIST OF EXHIBITS
+.nr Lx 1
+.ds Le LIST OF EQUATIONS
+.nr Le 0
+.\" List indent, used by .AL
+.nr Li 6
+.\" List space, if listlevel > Ls then no spacing will occur around lists.
+.nr Ls 99
+.\" Numbering style [0:5]
+.if !r N .nr N 0
+.\" numbered paragraphs
+.\" 0 == not numbered
+.\" 1 == numbered in first level headings.
+.nr Np 0
+.\" Format of figure,table,exhibit,equation titles.
+.\" 0= ". ", 1=" - "
+.nr Of 0
+.\" Page-number, normally same as %.
+.nr P 0
+.\" paragraph indent
+.nr Pi 5
+.\" paragraph spacing
+.nr Ps 1
+.\" paragraph type
+.\" 0 == left-justified
+.\" 1 == indented .P
+.\" 2 == indented .P except after .H, .DE or .LE.
+.nr Pt 0
+.\" Reference title
+.ds Rp REFERENCES
+.\" Display indent
+.nr Si 5
+.\"
+.ds Tm \(tm
+.\"
+.\"---------------------------------------------
+.\" Internal global variables
+.\"
+.\" These two are for cover macro .MT
+.\" Change @langage in the national file.
+.ds @cur-lib /usr/local/lib/groff/tmac
+.\" .ds @language
+.\"
+.\" Current pointsize and vertical space, always in points.
+.ie r S \{\
+. nr @ps \n[S]
+. nr @vs \n[S]+2
+.\}
+.el \{\
+. nr @ps 10
+. nr @vs 12
+.\}
+.\"
+.\" Page length
+.ie r L .nr @pl \n[L]
+.el .nr @pl \n[.p]
+.\" page width
+.ie r W .nr @ll \n[W]
+.el .nr @ll 6i
+.\" page offset
+.ie r O .nr @po \n[O]
+.el .nr @po \n(.o
+.\"
+.\" cheating...
+.pl \n[@pl]u
+.ll \n[@ll]u
+.lt \n[@ll]u
+.po \n[@po]u
+.nr @cur-ll \n[@ll]
+.\"
+.\" non-zero if escape mechanism is turned off. Used by VERBON/OFF
+.nr @verbose-flag 0
+.\"---------------------------------------------
+.\" New variables
+.\"
+.\" Appendix name
+.ds App APPENDIX
+.\" print appendixheader, 0 == don't
+.nr Aph 1
+.\"
+.\" header prespace level. If level <= Hps, then two lines will be printed
+.\" before the header instead of one.
+.nr Hps 1
+.\"
+.\" These variables controls the number of lines preceding .H.
+.\" Hps1 is the number of lines when level > Hps
+.nr Hps1 0.5v
+.if n .nr Hps1 1v
+.\"
+.\" Hps2 is the number of lines when level >= Hps
+.nr Hps2 1v
+.if n .nr Hps2 2v
+.\"
+.\" flag for mkindex
+.if !r Idxf .nr Idxf 0
+.\" Change these in the national configuration file
+.ds Lifg Figure
+.ds Litb TABLE
+.ds Liex Exhibit
+.ds Liec Equation
+.ds Licon CONTENTS
+.\"
+.\" Lsp controls the height of an empty line. Normally 0.5v
+.\" Normally used for nroff compatibility.
+.nr Lsp 0.5v
+.if n .nr Lsp 1v
+.ds MO1 January
+.ds MO2 February
+.ds MO3 March
+.ds MO4 April
+.ds MO5 May
+.ds MO6 June
+.ds MO7 July
+.ds MO8 August
+.ds MO9 September
+.ds MO10 October
+.ds MO11 November
+.ds MO12 December
+.\" for GETR
+.ds Qrf See chapter \\*[Qrfh], page \\*[Qrfp].
+.\"
+.\" header- and footer-size will only change to the current
+.\" if Pgps is > 0.
+.nr Pgps 1
+.\"
+.\" section-page if Sectp > 0
+.nr Sectp 0
+.if (\n[N]=3):(\n[N]=5) \{\
+. nr Sectp 1
+. nr Ej 1
+.\}
+.\" section-figure if Sectf > 0
+.nr Sectf 0
+.if \n[N]=5 .nr Sectf 1
+.\"
+.\" argument to .nm in .VERBON.
+.ds Verbnm "1
+.\" indent for VERBON
+.nr Verbin 5n
+.\"
+.\" test for mgm macro. This can be used if the text must test
+.\" what macros is used.
+.nr .mgm 1
+.\"
+.\"---------------------------------------------
+.\" set local variables.
+.ie d @language .mso mm/\\*[@language]_locale
+.el .mso mm/locale
+.\"---------------------------------------------
+.if \n[D] .tm Groff mm, version \*[RE].
+.\" ####### module init ######
+.\" reset all things
+.de init@reset
+.ie \\n[misc@adjust] 'ad
+.el 'na
+.ie \\n[Hy] 'hy 14
+.el 'nh
+'in 0
+'ti 0
+'ps \\n[@ps]
+'vs \\n[@vs]
+..
+.de @error
+.tm ******************
+.tm ERROR:(\\n[.F]) input line \\n[.c]:\\$*
+.if \\n[D] .backtrace
+.tm ******************
+.ab "Input aborted, syntax error"
+..
+.\" ####### module debug #################################
+.de debug
+.tm \\$1:\\n[.F]:\\n[c.] ll=\\n[.l] vs=\\n[.v] ps=\\n[.s],\\n[.ps] \
+in=\\n[.i] fi=\\n[.u] .d=\\n[.d] nl=\\n[nl] pg=\\n[%]
+..
+.de debug-all
+.nr debug*n 1n
+.nr debug*m 1m
+.tm \\$1:\\n[.F]:\\n[c.] ll=\\n[.l] vs=\\n[.v] ps=\\n[.s] in=\\n[.i]\
+ ad=\\n[.j] fi=\\n[.u] pl=\\n[.p] page=\\n[%] .o=\\n[.o]
+.tm _______ .d=\\n[.d] .f=\\n[.f] .h=\\n[.h] .k=\\n[.k] .n=\\n[.n]\
+ .p=\\n[.p] .t=\\n[.t] .z=\\n[.z] nl=\\n[nl] dn=\\n[dn] n=\\n[debug*n]
+..
+.\" ####### module par #################################
+.nr par@ind-flag 1 \" indent on following P if Pt=2
+.nr hd*last-pos -1
+.nr hd*last-hpos -1
+.nr par*number 0 1
+.af par*number 01
+.nr par*num-count 0 1
+.af par*num-count 01
+.\" reset numbered paragraphs, arg1 = headerlevel
+.de par@reset-num
+.if \\$1<3 .nr par*num-count 0
+.if (\\$1=1)&(\\n[Np]=1) .nr par*number 0
+..
+.\"------------
+.\" paragraph
+.de P
+.\" skip P if previous heading
+.ie !((\\n[nl]=\\n[hd*last-pos]):(\\n[nl]=(\\n[hd*last-pos]-.5v))) \{\
+. if \\n[D]>2 .tm Paragraph
+. par@doit \\$*
+.\}
+.el .if !(\\n[hd*last-hpos]=\\n[.k]) \{\
+. if \\n[D]>2 .tm Paragraph
+. par@doit \\$*
+.\}
+.nr par@ind-flag 1
+..
+.de par@doit
+.SP (u;\\n[Ps]*\\n[Lsp])
+.ie \\n[.$] \{\
+. if \\$1=1 .ti +\\n[Pi]n
+.\}
+.el \{\
+. if \\n[Pt]=1 .ti +\\n[Pi]n
+. if (\\n[Pt]=2)&\\n[par@ind-flag] .ti +\\n[Pi]n
+.\}
+.if \\n[Np] \{\
+\\n[H1].\\n+[par*number]\ \ \c
+.\" $$$ 'br
+.\}
+..
+.\" ####### module line #######################################
+.de SP
+.br
+.if !r line*lp\\n[.z] .nr line*lp\\n[.z] 0
+.if !r line*ac\\n[.z] .nr line*ac\\n[.z] 0
+.ie \\n[.$] .nr line*temp (v;\\$1)
+.el .nr line*temp 1v
+.\"
+.ie \\n[line*lp\\n[.z]]=\\n[.d] \{\
+. \" go here if no output since the last .SP
+. nr line*output \\n[line*temp]-\\n[line*ac\\n[.z]]
+. if \\n[line*output]<0 .nr line*output 0
+. nr line*ac\\n[.z] +\\n[line*output]
+.\}
+.el \{\
+. nr line*ac\\n[.z] \\n[line*temp]
+. nr line*output \\n[line*temp]
+. \" no extra space in the beginning of a page
+. if (\\n[.d]<0):(\\n[pg*head-mark]=\\n[.d]) .nr line*output 0
+.\}
+.if \\n[line*output] .sp \\n[line*output]u
+.nr line*lp\\n[.z] \\n[.d]
+..
+.\" ######## module misc ###############
+.nr misc@adjust 14
+.de SA
+.if \\n[.$] \{\
+. if \\$1-1 .@error "SA: bad arg: \\$1"
+. nr misc@adjust 0\\$1
+.\}
+.ie \\n[misc@adjust] 'ad
+.el 'na
+..
+.\"-------------
+.\" switch environment, keep all important settings.
+.de misc@ev-keep
+.nr misc*ll \\n[.l]
+.ev \\$1
+.ll \\n[misc*ll]u
+.lt \\n[misc*ll]u
+..
+.\"-------------
+.\" .misc@push stackname value
+.de misc@push
+.ie d misc*st-\\$1 .ds misc*st-\\$1 \\$2 \\*[misc*st-\\$1]
+.el .ds misc*st-\\$1 \\$2
+..
+.\"-------------
+.\" .misc@pop stackname
+.\" value returned in the string misc*pop
+.de misc@pop
+.misc@pop-set misc*st-\\$1 \\*[misc*st-\\$1]
+..
+.\"-------------
+.de misc@pop-set
+.ds misc*st-name \\$1
+.shift
+.if \\n[.$]<1 .@error "stack \\*[misc*st-name] empty"
+.ds misc*pop \\$1
+.shift
+.ds \\*[misc*st-name] \\$*
+..
+.\"-------------
+.\" .misc@pop-nr stackname varname
+.de misc@pop-nr
+.misc@pop \\$1
+.nr \\$2 \\*[misc*pop]
+..
+.\"-------------
+.\" .misc@pop-ds stackname varname
+.de misc@pop-ds
+.misc@pop \\$1
+.ds \\$2 \\*[misc*pop]
+..
+.\"-----------
+.\" reset tabs
+.de TAB
+.ta T 5n
+..
+.\"-------------
+.\" .PGFORM linelength [ pagelength [ pageoffset [1]]]
+.de PGFORM
+.\" Break here to avoid problems with new linesetting of the previous line.
+.\" Hope this doesn't break anything else :-)
+.\" Don't break if arg_4 is a '1'.
+.if ''\\$4' .br
+.if !''\\$1' .nr @ll \\$1
+.if !''\\$2' .nr @pl \\$2
+.if !''\\$3' .nr @po \\$3
+.ll \\n[@ll]u
+.lt \\n[@ll]u
+.po \\n[@po]u
+.pl \\n[@pl]u
+.nr @cur-ll \\n[@ll]
+'in 0
+.pg@move-trap
+..
+.\"-------------
+.\" .MOVE y [[x] linelength]
+.\" move to line y, indent to x
+.de MOVE
+.if !\\n[.$] .@error "MOVE y [x]: no arguments"
+.if \\n[nl]<0 \c
+.\" move to Y-pos
+.sp |(v;\\$1)
+.\" calc linelength
+.ie \\n[.$]>2 .nr pg*i (n;\\$3)
+.el \{\
+. ie \\n[.$]>1 .nr pg*i (n;\\n[@ll]u-\\$2)
+. el .nr pg*i \\n[@ll]u
+.\}
+.\" move to X-pos, if any
+.if !''\\$2' .po \\$2
+.\" set linelength
+.ll \\n[pg*i]u
+..
+.\"-------------
+.de SM
+.if !\\n[.$] .@error "SM: no arguments"
+.if \\n[.$]=1 \s-1\\$1\s0
+.if \\n[.$]=2 \s-1\\$1\s0\\$2
+.if \\n[.$]=3 \\$1\s-1\\$2\s0\\$3
+..
+.\"-------------
+.nr misc*S-ps \n[@ps]
+.nr misc*S-vs \n[@vs]
+.nr misc*S-ps1 \n[@ps]
+.nr misc*S-vs1 \n[@vs]
+.ds misc*a
+.ds misc*b
+.de S
+.ie !\\n[.$] \{\
+. ds misc*a P
+. ds misc*b P
+.\}
+.el \{\
+. ie \\n[.$]=1 .ds misc*b D
+. el \{\
+. ie \w@\\$2@=0 .ds misc*b C
+. el .ds misc*b \\$2
+. \}
+. ie \w@\\$1@=0 .ds misc*a C
+. el .ds misc*a \\$1
+.\}
+.\"
+.\" set point size
+.if !'\\*[misc*a]'C' \{\
+. ie '\\*[misc*a]'P' .nr @ps \\n[misc*S-ps]
+. el \{\
+. ie '\\*[misc*a]'D' .nr @ps 10
+. el .nr @ps \\*[misc*a]
+. \}
+.\}
+.\"
+.\" set vertical spacing
+.if !'\\*[misc*b]'C' \{\
+. ie '\\*[misc*b]'P' .nr @vs \\n[misc*S-vs]
+. el \{\
+. ie '\\*[misc*b]'D' .nr @vs \\n[@ps]+2
+. el .nr @vs \\*[misc*b]
+. \}
+.\}
+'ps \\n[@ps]
+'vs \\n[@vs]
+.if \\n[D]>1 .tm point-size \\n[@ps] (\\n[.s]), vertical spacing \\n[@vs] (\\n[.v])
+.nr misc*S-ps \\n[misc*S-ps1]
+.nr misc*S-vs \\n[misc*S-vs1]
+.nr misc*S-ps1 \\n[@ps]
+.nr misc*S-vs1 \\n[@vs]
+..
+.\"------------
+.de HC
+.ev 0
+.hc \\$1
+.ev
+.ev 1
+.hc \\$1
+.ev
+.ev 2
+.hc \\$1
+.ev
+..
+.\"------------
+.de RD
+.di misc*rd
+'fl
+.rd \\$1
+.br
+.di
+.ie !''\\$3' \{\
+. di misc*rd2
+. ds \\$3 "\\*[misc*rd]
+. br
+. di
+.\}
+.if !''\\$2' .rn misc*rd \\$2
+.rm misc*rd misc*rd2
+..
+.\"------------
+.\" VERBON [flag [pointsize [font]]]
+.\" flag
+.\" bit function
+.\" 0 escape on
+.\" 1 add an empty line before verbose text
+.\" 2 add an empty line after verbose text
+.\" 3 numbered lines (controlled by the string Verbnm)
+.\" 4 indent text by the numbervariable Verbin.
+.de VERBON
+.br
+.nr misc*verb 0\\$1
+.if (0\\n[misc*verb]%4)/2 .SP \\n[Lsp]u
+.misc@ev-keep misc*verb-ev
+.nf
+.if (0\\n[misc*verb]%16)/8 .nm \\*[Verbnm]
+.ie !'\\$3'' .ft \\$3
+.el .ft CR
+.ie 0\\$2 \{\
+. ss \\$2
+. ps \\$2
+. vs \\$2
+.\}
+.el .ss 12
+.ta T 8u*\w@n@u
+.if (0\\n[misc*verb]%32)/16 .in +\\n[Verbin]u
+.if 0\\n[misc*verb]%2 \{\
+. eo
+. nr @verbose-flag 1 \" tell pageheader to set ec/eo
+.\}
+..
+.de VERBOFF
+.ec
+.br
+.if (0\\n[misc*verb]%8)/4 .SP \\n[Lsp]u
+.if (0\\n[misc*verb]%16)/8 .nm
+.if (0\\n[misc*verb]%32)/16 .in
+.ev
+.nr @verbose-flag 0
+..
+.\" ######## module acc #################
+.\"-----------
+.\" accents. These are copied from mgs, written by James Clark.
+.de acc@over-def
+.ds \\$1 \Z'\v'(u;\w'x'*0+\En[rst]-\En[.cht])'\
+\h'(u;-\En[skw]+(-\En[.w]-\w'\\$2'/2)+\En[.csk])'\\$2'
+..
+.de acc@under-def
+.ds \\$1 \Z'\v'\En[.cdp]u'\h'(u;-\En[.w]-\w'\\$2'/2)'\\$2'
+..
+.acc@over-def ` \`
+.acc@over-def ' \'
+.acc@over-def ^ ^
+.acc@over-def ~ ~
+.acc@over-def : \(ad
+.acc@over-def ; \(ad
+.acc@under-def , \(ac
+.\" ######## module uni #################
+.\" unimplemented macros
+.de OK
+.tm "OK: not implemented"
+..
+.de PM
+.tm "PM: not implemented"
+..
+.\" ######## module hd #################
+.\" support for usermacro
+.nr hd*h1-page 1 \" last page-number for level 1 header.
+.nr hd*htype 0
+.ds hd*sect-pg
+.ds hd*mark
+.ds hd*suf-space
+.nr hd*need 0
+.aln ;0 hd*htype
+.als }0 hd*mark
+.als }2 hd*suf-space
+.aln ;3 hd*need
+.\"-------------
+.\" .hd@split varable index name val1 val2 ...
+.de hd@split
+.if \\$2>(\\n[.$]-3) .@error "\\$3 must have at least \\$2 values (\\*[\\$3]).
+.nr hd*sp-tmp \\$2+3
+.ds \\$1 \\$[\\n[hd*sp-tmp]]
+..
+.de HU
+.H 0 "\\$1"
+..
+.\"-------------
+.de H
+.if !r hd*cur-bline .nr hd*cur-bline \\n[nl]
+.br
+.ds@print-float 2\" $$$ could be wrong...
+.\" terminate all lists
+.LC 0
+.init@reset
+.nr hd*level 0\\$1
+.nr hd*arg1 0\\$1
+.if !\\n[hd*level] .nr hd*level \\n[Hu]
+.\"
+.\" clear lower counters
+.nr hd*i 1 1
+.while \\n+[hd*i]<8 .if \\n[hd*level]<\\n[hd*i] .nr H\\n[hd*i] 0 1
+.\"
+.\" Check if it's time for new page. Only if text has
+.\" appeared before.
+.if \\n[Ej]&(\\n[Ej]>=\\n[hd*level])&(\\n[nl]>\\n[hd*cur-bline]) .pg@next-page
+.\"
+.\" increment current counter
+.nr H\\n[hd*level] +1
+.\"
+.\" update pagenumber if section-page is used
+.if \\n[hd*level]=1 .hd@set-page \\n[%]
+.\"
+.\"
+.\" hd*mark is the text written to the left of the header.
+.ds hd*mark \\n[H1].
+.\"
+.if \\n[hd*level]>1 .as hd*mark \\n[H2]
+.\"
+.nr hd*i 2 1
+.while \\n+[hd*i]<8 .if \\n[hd*level]>(\\n[hd*i]-1) .as hd*mark .\\n[H\\n[hd*i]]
+.if \\n[Ht] .ds hd*mark \\n[H\\n[hd*level]].
+.\"
+.\" toc-mark is sent to the table of contents
+.ds hd*toc-mark \\*[hd*mark]
+.as hd*mark \ \ \" add spaces between mark and heading
+.if !\\n[hd*arg1] \{\
+. ds hd*mark\" no mark for unnumbered
+. ds hd*toc-mark
+.\}
+.\"
+.if \\n[D]>1 .tm At header \\*[hd*toc-mark] "\\$2"
+.nr hd*htype 0 \" hd*htype = check break and space
+. \" 0 = run-in, 1 = break only, 2 = space
+.if \\n[hd*level]<=\\n[Hb] .nr hd*htype 1
+.if \\n[hd*level]<=\\n[Hs] .nr hd*htype 2
+. \" two spaces if hd*htype == 0
+.ie (\\n[hd*htype]=0)&(\w@\\$2@) .ds hd*suf-space " \"
+.el .ds hd*suf-space
+.nr hd*need 2v \" hd*need = header need space
+.if \\n[hd*htype]<2 .nr hd*need +\\n[Lsp]u \" add some extra space
+.\"---------- user macro HX ------------
+.\" User exit macro to override numbering.
+.\" May change hd*mark (}0), hd*suf-space (}2) and hd*need (;3)
+.\" Can also change Hps1/2.
+.if d HX .HX \\n[hd*level] \\n[hd*arg1] "\\$2\\$3"
+.\"--------------------------------------
+.\" pre-space
+.ie \\n[hd*level]<=\\n[Hps] .SP \\n[Hps2]u
+.el .SP \\n[Hps1]u
+.\"
+.par@reset-num \\n[hd*level]\" reset numbered paragraph
+.\" start diversion to measure size of header
+.di hd*div
+\\*[hd*mark]\\$2\\$3\\*[hd*suf-space]
+.br
+.di
+.rm hd*div
+.ne \\n[hd*need]u+\\n[dn]u+.5p \" this is the needed space for a header
+.if \\n[hd*htype] .na \" no adjust if run-in
+.\"
+.\" size and font calculations
+.hd@split hd*font \\n[hd*level] HF \\*[HF]\" get font for this level
+.ft \\*[hd*font]\" set new font
+.hd@split hd*new-ps \\n[hd*level] HP \\*[HP]\" get point size
+.ie (\\*[hd*new-ps]=0):(\w@\\*[hd*new-ps]@=0) \{\
+. if \\n[hd*htype] \{\
+. if '\\*[hd*font]'3' \{\
+. ps -1
+. vs -1
+. \}
+. if '\\*[hd*font]'B' \{\
+. ps -1
+. vs -1
+. \}
+. \}
+.\}
+.el \{\
+. ps \\*[hd*new-ps]
+. vs \\*[hd*new-ps]+2
+.\}
+.\"
+.\"---------- user macro HY -------------
+.\" user macro to reset indents
+.if d HY .HY \\n[hd*level] \\n[hd*arg1] "\\$2\\$3"
+.\"--------------------------------------
+.nr hd*mark-size \w@\\*[hd*mark]@
+.if (\\n[hd*level]<=\\n[Hc])&\\n[hd*htype] .ce\" center if level<=Hc
+.\"
+.\" finally, output the header
+\\*[hd*mark]\&\c
+.\" and the rest of the header
+.ie \\n[hd*htype] \{\
+\\$2\\$3
+. br
+.\}
+.el \\$2\\$3\\*[hd*suf-space]\&\c
+.ft 1
+.\" restore pointsize and vertical size.
+.ps \\n[@ps]
+.vs \\n[@vs]
+.\"
+.\" table of contents
+.if (\\n[hd*level]<=\\n[Cl])&\w@\\$2@ \{\
+. ie \\n[Sectp] \{\
+. toc@save \\n[hd*level] "\\*[hd*toc-mark]" "\\$2" \\*[hd*sect-pg]
+. \}
+. el .toc@save \\n[hd*level] "\\*[hd*toc-mark]" "\\$2" \\n[%]
+.\}
+.\" set adjust to previous value
+.SA
+.\" do break or space
+.if \\n[hd*htype] .br
+.if \\n[hd*htype]>1 .SP \\n[Lsp]u
+.if \\n[hd*htype] \{\
+. \" indent if Hi=1 and Pt=1
+. if (\\n[Hi]=1)&(\\n[Pt]=1) .ti +\\n[Pi]n
+. \" indent size of mark if Hi=2
+. if \\n[hd*htype]&(\\n[Hi]>1) .ti +\\n[hd*mark-size]u
+.\}
+.nr par@ind-flag 0 \" no indent on .P if Pt=2
+.\"
+.\" check if it is time to reset footnotes
+.if (\\n[hd*level]=1)&\\n[ft*clear-at-header] .nr ft*nr 0 1
+.\"
+.\" check if it is time to reset indexes
+.if (\\n[hd*level]=1)&\\n[Sectf] \{\
+. nr lix*fg-nr 0 1
+. nr lix*tb-nr 0 1
+. nr lix*ec-nr 0 1
+. nr lix*ex-nr 0 1
+.\}
+.\"---------- user macro HZ ----------
+.if d HZ .HZ \\n[hd*level] \\n[hd*arg1] "\\$2\\$3"
+.nr hd*last-pos \\n[nl]
+.nr hd*last-hpos \\n[.k]
+.nr par@ind-flag 0
+..
+.\"--------
+.de HM
+.nr hd*i 0 1
+.while \\n+[hd*i]<8 .af H\\n[hd*i] \\$[\\n[hd*i]] 1
+..
+.\"----------------------
+.\" set page-nr, called from header
+.\"
+.de hd@set-page
+.if \\n[.$]>0 .nr hd*h1-page \\$1
+.\"
+.ie \\n[Sectp] .nr P \\n[%]-\\n[hd*h1-page]+1
+.el .nr P \\n[%]
+.\"
+.\" Set section-page-string
+.ds hd*sect-pg \\n[H1]-\\n[P]
+.if \\n[Sectp]>1 .if '\\n[H1]'0' .ds hd*sect-pg "
+..
+.\"########### module pg ####################
+.\" set end of text trap
+.wh 0 pg@header
+.em pg@end-of-text
+.\"
+.ds pg*header ''- % -''
+.ds pg*footer
+.if \n[N]=4 .ds pg*header ''''
+.if \n[N]=5 \{\
+. ds pg*header ''''
+. ds pg*footer ''\\*[hd*sect-pg]''
+.\}
+.ds pg*even-footer
+.ds pg*odd-footer
+.ds pg*even-header
+.ds pg*odd-header
+.\"
+.nr pg*top-margin 0
+.nr pg*foot-margin 0
+.nr pg*block-size 0
+.nr pg*footer-size 5\" 1v+footer+even/odd footer+2v
+.nr pg*header-size 7\" 3v+header+even/odd header+2v
+.nr pg*extra-footer-size 0
+.nr pg*extra-header-size 0
+.nr ft*note-size 0
+.nr pg*cur-column 0
+.nr pg*cols-per-page 1
+.nr pg*cur-po \n[@po]
+.nr pg*head-mark 0
+.\"
+.nr pg*ps \n[@ps]
+.nr pg*vs \n[@vs]
+.\"-------------------------
+.\" footer traps: set, enable and disable
+.de pg@set-new-trap
+.nr pg*foot-trap \\n[@pl]u-(\\n[pg*block-size]u+\\n[ft*note-size]u+\\n[pg*foot-margin]u+\\n[pg*footer-size]v+\\n[pg*extra-footer-size]u)
+.if \\n[D]>2 .tm pg*foot-trap \\n[@pl]u-(\\n[pg*block-size]u+\\n[ft*note-size]u+\\n[pg*foot-margin]u+\\n[pg*footer-size]v) = \\n[pg*foot-trap]
+.\" last-pos points to the position of the footer and bottom
+.\" block below foot-notes.
+.nr pg*last-pos \\n[@pl]u-(\\n[pg*block-size]u+\\n[pg*foot-margin]u+\\n[pg*footer-size]v)
+..
+.de pg@enable-trap
+.wh \\n[pg*foot-trap]u pg@footer
+.if \\n[D]>2 .tm pg@enable-trap .t=\\n[.t] nl=\\n[nl]
+..
+.de pg@disable-trap
+.ch pg@footer
+..
+.\" move to new trap (if changed).
+.de pg@move-trap
+.pg@disable-trap
+.pg@set-new-trap
+.pg@enable-trap
+..
+.de pg@enable-top-trap
+.\" set trap for pageheader.
+.nr pg*top-enabled 1
+..
+.de pg@disable-top-trap
+.\" remove trap for pageheader.
+.nr pg*top-enabled 0
+..
+.\" no header on the next page
+.de PGNH
+.nr pg*top-enabled -1
+..
+.\" set first trap for pagefooter
+.pg@enable-top-trap
+.pg@set-new-trap
+.pg@enable-trap
+.\"-------------------------
+.\" stop output and begin on next page. Fix footnotes and all that.
+.de pg@next-page
+.\".debug next-page
+.ne 999i \" activate trap
+.\" .pg@footer
+..
+.\"-------------------------
+.\" support for PX and TP
+.als }t pg*header
+.als }e pg*even-header
+.als }o pg*odd-header
+.\"------------------------------------------------------------
+.\" HEADER
+.de pg@header
+.if \\n[D]>1 .tm Page# \\n[%] (\\n[.F]:\\n[c.])
+.if \\n[Idxf] \{\
+.tl '<pagenr\ \\n[%]>'''
+.\}
+.\" assign current page-number to P
+.hd@set-page
+.\"
+.\" suppress pageheader if pagenumber == 1 and N == [124]
+.if \\n[pg*top-enabled] \{\
+. if \\n[pg*extra-header-size] 'sp \\n[pg*extra-header-size]u
+. if \\n[pg*top-margin] 'sp \\n[pg*top-margin]u
+. ev pg*tl-ev
+. pg@set-env
+. ie !d TP \{\
+' sp 3
+. ie ((\\n[%]=1)&((\\n[N]=1):(\\n[N]=2))) .sp
+. el .tl \\*[pg*header]
+. ie o .tl \\*[pg*odd-header]
+. el .tl \\*[pg*even-header]
+' sp 2
+. \}
+. el .TP
+. ev
+. \" why no-space??
+. if d PX \{\
+. ns
+. PX
+. rs
+. \}
+. \" check for pending footnotes
+. ft@check-old
+. \"
+. \" back to normal text processing
+. pg@enable-trap
+. \" mark for multicolumn
+. nr pg*head-mark \\n[nl]u
+. \" set multicolumn
+. \"
+. pg@set-po
+. \" print floating displays
+. ds@print-float 4
+. tbl@top-hook
+. ns
+.\}
+.if \\n[pg*top-enabled]<0 .nr pg*top-enabled 1
+.nr hd*cur-bline \\n[nl] \" .H needs to know if output has occured
+..
+.\"---------------------------------------------------------
+.\" FOOTER
+.de pg@footer
+.ec
+.if \\n[D]>2 .tm Footer# \\n[%] (\\n[.F]:\\n[c.])
+.pg@disable-trap
+.\".debug footer
+.tbl@bottom-hook
+.\" increment pageoffset for MC
+.\" move to the exact start of footer.
+'sp |\\n[pg*foot-trap]u+1v
+.\"
+.if \\n[D]>3 .tm FOOTER after .sp
+.\" print footnotes
+.if d ft*div .ft@print
+.\"
+.pg@inc-po
+.if !\\n[pg*cur-column] .pg@print-footer
+.\" next column
+.pg@set-po
+.pg@enable-trap
+.if \\n[@verbose-flag] .eo \" to help VERBON/VERBOFF
+..
+.\"-------------------------
+.de pg@print-footer
+.\" jump to the position just below the foot-notes.
+'sp |\\n[pg*last-pos]u+1v
+.\" check if there are any bottom block
+.if d pg*block-div .pg@block
+.\"
+.\" print the footer and eject new page
+.ev pg*tl-ev
+.pg@set-env
+.ie o .tl \\*[pg*odd-footer]
+.el .tl \\*[pg*even-footer]
+.ie (\\n[%]=1)&(\\n[N]=1) .tl \\*[pg*header]
+.el .tl \\*[pg*footer]
+.ev
+.ie (\\n[ds*fnr]>=\\n[ds*o-fnr]):\\n[ft*exist] \{\
+. ev ne
+' bp
+. ev
+.\}
+.el 'bp
+..
+.\"-------------------------
+.\"
+.\" Initialize the title environment
+.de pg@set-env
+'na
+'nh
+'in 0
+'ti 0
+.ie \\n[Pgps] \{\
+. ps \\n[@ps]
+. vs \\n[@vs]
+.\}
+.el \{\
+. ps \\n[pg*ps]
+. vs \\n[pg*vs]
+.\}
+.lt \\n[@ll]u
+..
+.\"-------------------------
+.de PH
+.ds pg*header "\\$1
+.pg@set-new-size
+..
+.de PF
+.ds pg*footer "\\$1
+.pg@set-new-size
+..
+.de OH
+.ds pg*odd-header "\\$1
+.pg@set-new-size
+..
+.de EH
+.ds pg*even-header "\\$1
+.pg@set-new-size
+..
+.de OF
+.ds pg*odd-footer "\\$1
+.pg@set-new-size
+..
+.de EF
+.ds pg*even-footer "\\$1
+.pg@set-new-size
+..
+.de pg@clear-hd
+.ds pg*even-header
+.ds pg*odd-header
+.ds pg*header
+..
+.de pg@clear-ft
+.ds pg*even-footer
+.ds pg*odd-footer
+.ds pg*footer
+..
+.de pg@set-new-size
+.nr pg*ps \\n[@ps]
+.nr pg*vs \\n[@vs]
+.pg@move-trap
+..
+.\"-------------------------
+.\" end of page processing
+.de pg@footnotes
+.\".debug footnotes
+.\" output footnotes. set trap for block
+.\"
+..
+.\"-------------------------
+.\" print bottom block
+.de pg@block
+.ev pg*block-ev
+'nf
+'in 0
+.ll 100i
+.pg*block-div
+.br
+.ev
+..
+.\"-------------------------
+.\" define bottom block
+.de BS
+.misc@ev-keep pg*block-ev
+.init@reset
+.br
+.di pg*block-div
+..
+.\"-------------------------
+.de BE
+.br
+.di
+.nr pg*block-size \\n[dn]u
+.ev
+.pg@move-trap
+..
+.\"-------------------------
+.\" print out all pending text
+.de pg@end-of-text
+.if \\n[D]>2 .tm ---------- End of text processing ----------------
+.ds@eot-print
+.ref@eot-print
+..
+.\"-------------------------
+.\" set top and bottom margins
+.de VM
+.if \\n[.$]=0 \{\
+. nr pg*extra-footer-size 0
+. nr pg*extra-header-size 0
+.\}
+.if \\n[.$]>0 .nr pg*extra-header-size (v;\\$1)
+.if \\n[.$]>1 .nr pg*extra-footer-size (v;\\$2)
+.if \\n[D]>2 \{\
+. tm extra top \\n[pg*extra-footer-size]
+. tm extra bottom \\n[pg*extra-header-size]
+.\}
+.pg@move-trap
+..
+.\"---------------------
+.\" multicolumn output.
+.de pg@set-po
+.if \\n[pg*cols-per-page]>1 \{\
+. ll \\n[pg*column-size]u
+.\}
+..
+.de pg@inc-po
+.if \\n[pg*cols-per-page]>1 \{\
+. ie \\n+[pg*cur-column]>=\\n[pg*cols-per-page] \{\
+. nr pg*cur-column 0 1
+. nr pg*cur-po \\n[@po]u
+. po \\n[@po]u
+. ll \\n[@ll]u
+. \}
+. el \{\
+. nr pg*cur-po +(\\n[pg*column-size]u+\\n[pg*column-sep]u)
+. po \\n[pg*cur-po]u
+' sp |\\n[pg*head-mark]u
+. tbl@top-hook
+. \}
+.\}
+..
+.\" An argument disables the page-break.
+.de 1C
+.br
+.if \\n[pg*cols-per-page]<=1 .@error "1C: multicolumn mode not active"
+.nr pg*cols-per-page 1
+.nr pg*column-sep 0
+.nr pg*column-size \\n[@ll]
+.nr pg*cur-column 0 1
+.nr pg*cur-po \\n[@po]u
+.PGFORM
+.if !'\\$1'1' .SK
+..
+.de 2C
+.br
+.nr pg*head-mark \\n[nl]u
+.if \\n[pg*cols-per-page]>1 .@error "2C: multicolumn mode already active"
+.nr pg*cols-per-page 2
+.nr pg*column-sep \\n[@ll]/15
+.nr pg*column-size (\\n[@ll]u*7)/15
+.nr pg*cur-column 0 1
+.nr pg*cur-po \\n[@po]u
+.ll \\n[pg*column-size]u
+.\" .lt \\n[pg*column-size]u
+..
+.\" MC column-size [ column-separation ]
+.de MC
+.br
+.nr pg*head-mark \\n[nl]u
+.if \\n[pg*cols-per-page]>1 .@error "MC: multicolumn mode already active"
+.ie ''\\$1' .nr pg*column-size \\n[.l]
+.el .nr pg*column-size (n;\\$1)
+.ie ''\\$2' .nr pg*column-sep \\n[pg*column-size]/15
+.el .nr pg*column-sep (n;\\$2)
+.\"
+.nr pg*cols-per-page (u;\\n[.l]/(\\n[pg*column-size]+\\n[pg*column-sep]+1))
+.nr pg*cur-column 0 1
+.nr pg*cur-po \\n[@po]u
+.ll \\n[pg*column-size]u
+.\" .lt \\n[pg*column-size]u
+..
+.\" begin a new column
+.de NCOL
+.br
+.pg@footer
+..
+.\" skip pages
+.de SK
+.br
+.bp
+.nr pg*i 0 1
+.\" force new page by writing something invisible.
+.while \\n+[pg*i]<=(0\\$1) \{\
+\&
+. bp
+.\}
+..
+.\"-------------------------------
+.\" MULB width1 space1 width2 space2 width3 space3 ...
+.de MULB
+.br
+.nr pg*i 0 1
+.nr pg*mul-x 0 1
+.nr pg*mul-ind 0
+.nr pg*mul-last 0
+.while \\n[.$] \{\
+. nr pg*mul!\\n+[pg*i] (n;0\\$1)
+. nr pg*muls!\\n[pg*i] (n;0\\$2)
+. shift 2
+.\}
+.nr pg*mul-max-col \\n[pg*i]
+.ds pg*mul-fam \\n[.fam]
+.nr pg*mul-font \\n[.f]
+.ev pg*mul-ev
+.ps \\n[@ps]
+.vs \\n[@vs]
+.fam \\*[pg*mul-fam]
+.ft \\n[pg*mul-font]
+.fi
+.hy 14
+.di pg*mul-div
+.MULN
+..
+.\"-----------
+.de MULN
+.if \\n[pg*mul-x]>=\\n[pg*mul-max-col] .@error "MULN: Undefined columnwidth"
+.br
+.if \\n[.d]>\\n[pg*mul-last] .nr pg*mul-last \\n[.d]
+.rt +0
+.in \\n[pg*mul-ind]u
+.ll (u;\\n[.i]+\\n[pg*mul!\\n+[pg*mul-x]])u
+.nr pg*mul-ind +(u;\\n[pg*mul!\\n[pg*mul-x]]+\\n[pg*muls!\\n[pg*mul-x]])
+..
+.\"-----------
+.\" MULE
+.de MULE
+.br
+.if \\n[.d]>\\n[pg*mul-last] .nr pg*mul-last \\n[.d]
+.di
+.ev
+.ne \\n[pg*mul-last]u
+.nf
+.mk
+.pg*mul-div
+.rt
+.sp \\n[pg*mul-last]u
+.fi
+..
+.\"-----------
+.de OP
+.br
+.ie o .if !\\n[pg*head-mark]=\\n[nl] \{\
+. bp +1
+. bp +1
+.\}
+.el .bp
+..
+.\"########### module footnotes ###################
+.nr ft*note-size 0
+.nr ft*busy 0
+.nr ft*nr 0 1
+.nr ft*wide 0
+.nr ft*hyphen 0\" hyphenation value
+.nr ft*adjust 1\" >0 if adjust true
+.nr ft*indent 1\" >0 if text indent true (not imp. $$$)
+.nr ft*just 0\" 0=left justification, 1=right (not imp. $$$)
+.nr ft*exist 0\" not zero if there are any footnotes to be printed
+.nr ft*clear-at-header 0\" >0 if footnotes should be reset at first level head.
+.\"
+.ds F \v'-.4m'\s-3\\n+[ft*nr]\s0\v'.4m'
+.\"
+.\"-----------------
+.\" init footnote environment
+.de ft@init
+.\" indentcontrol not implemented $$$
+.\" label justification not implemented $$$
+'in 0
+'fi
+.ie \\n[ft*adjust] 'ad
+.el 'na
+.ie \\n[ft*hyphen] 'hy 14
+.el 'hy 0
+.ll \\n[@cur-ll]u
+.lt \\n[@cur-ll]u
+.ps (\\n[@ps]-2)
+.vs (\\n[@vs]-1)
+..
+.\"-----------------
+.\" set footnote format
+.\" no support for two column processing (yet). $$$
+.de FD
+.if \\n[.$]=0 .@error "FD: bad arg \\$1"
+.ie \\n[.$]=2 .nr ft*clear-at-header 1
+.el .nr ft*clear-at-header 0
+.\"
+.if !'\\$1'' \{\
+. ie \\$1>11 .nr ft*format 0
+. el .nr ft*format \\$1
+. \"
+. nr ft*hyphen (\\n[ft*format]%2)*14
+. nr ft*format \\n[ft*format]/2
+. \"
+. nr ft*adjust 1-(\\n[ft*format]%2)
+. nr ft*format \\n[ft*format]/2
+. \"
+. nr ft*indent 1-(\\n[ft*format]%2)
+. nr ft*format \\n[ft*format]/2
+. \"
+. nr ft*just \\n[ft*format]%2
+.\}
+..
+.\"---------------
+.\" Footnote and display width control $$$
+.de WC
+.nr ft*i 0 1
+.while \\n+[ft*i]<=\\n[.$] \{\
+. ds ft*x \\$[\\n[ft*i]]
+. if '\\*[ft*x]'N' \{\
+. nr ft*wide 0
+. nr ft*first-fn 0
+. nr ds*wide 0
+. nr ds*float-break 1
+. \}
+. if '\\*[ft*x]'-WF' .nr ft*wide 0
+. if '\\*[ft*x]'WF' .nr ft*wide 1
+. if '\\*[ft*x]'-FF' .nr ft*first-fn 0
+. if '\\*[ft*x]'FF' .nr ft*first-fn 1
+. if '\\*[ft*x]'-WD' .nr ds*wide 0
+. if '\\*[ft*x]'WD' .nr ds*wide 1
+. if '\\*[ft*x]'-FB' .nr ds*float-break 0
+. if '\\*[ft*x]'FB' .nr ds*float-break 1
+.\}
+..
+.\"-----------------
+.\" begin footnote
+.de FS
+.if \\n[ft*busy] .@error "FS: missing FE"
+.nr ft*busy 1
+.ev ft*ev
+.ft@init
+.if !\\n[ft*wide] .pg@set-po
+.if !d ft*div .ft@init-footnote
+.di ft*tmp-div
+.nr ft*space (u;\\n[Fs]*\\n[Lsp])
+.sp \\n[ft*space]u
+.\" print mark
+.ie \\n[.$] .ds ft*mark \\$1
+.el .ds ft*mark \\n[ft*nr].
+\\*[ft*mark]
+.in +.75c
+.sp -1
+.nr ft*exist 1
+..
+.\"-----------------
+.\" init footnote diversion
+.de ft@init-footnote
+.di ft*div
+\l'20n'
+.br
+.di
+.nr ft*note-size \\n[dn]
+..
+.\"-----------------
+.\" end footnote
+.de FE
+.nr ft*busy 0
+.br
+.di
+'in 0
+'nf
+.if \\n[@pl]u<\\n[dn]u .@error "FE: too big footnote"
+.ie (\\n[pg*foot-trap]u-\\n[.d]u)<\\n[dn]u \{\
+. da ft*next-div
+. ft*tmp-div
+. br
+. di
+.\}
+.el \{\
+. da ft*div
+. ft*tmp-div
+. di
+. nr ft*note-size +\\n[dn]
+.\}
+.rm ft*tmp-div
+.ev
+.pg@move-trap
+..
+.\"-----------------
+.\" print footnotes, see pg@footer
+.de ft@print
+.ev ft*print-ev
+'nf
+'in 0
+.ll 100i
+.ft*div
+.br
+.ev
+.rm ft*div
+.nr ft*note-size 0
+.pg@move-trap
+..
+.\"-----------------
+.\" check if any pending footnotes, see pg@header
+.de ft@check-old
+.if d ft*next-div \{\
+. ev ft*ev
+. ft@init
+. ft@init-footnote
+. nf
+. in 0
+. da ft*div
+. ft*next-div
+. di
+. nr ft*note-size +\\n[dn]
+. rm ft*next-div
+. ev
+. nr ft*exist 0
+. pg@move-trap
+.\}
+..
+.\"########### module display ###################
+.nr ds*wide 0\" >0 if wide displays wanted
+.nr ds*fnr 0 1\" floating display counter
+.nr ds*o-fnr 1\" floating display counter, already printed
+.nr ds*snr 0 1\" static display counter
+.nr ds*lvl 0 1\" display level
+.nr ds*float-busy 0\" >0 if printing float
+.nr ds*ffloat 0\" >0 if DF, 0 if DS
+.\" static display start
+.\" nested DS/DE is allowed. No limit on depth.
+.de DS
+.br
+.ds@start 0 DS \\$@
+..
+.\" floating display start
+.\" nested DF/DE is not allowed.
+.de DF
+.if \\n[ds*lvl] .@error "DF:nested floating is not allowed. Use DS."
+.ds@start 1 DF \\$@
+..
+.\"---------------
+.nr ds*format 0\" dummy value for .En/.EQ
+.nr ds*format! 0\" no indent
+.nr ds*format!0 0\" no indent
+.nr ds*format!L 0\" no indent
+.nr ds*format!I 1\" indent
+.nr ds*format!1 1\" indent
+.nr ds*format!C 2\" center each line
+.nr ds*format!2 2\" center each line
+.nr ds*format!CB 3\" center as block
+.nr ds*format!3 3\" center as block
+.nr ds*format!R 4\" right justify each line
+.nr ds*format!4 4\" right justify each line
+.nr ds*format!RB 5\" right justify as block
+.nr ds*format!5 5\" right justify as block
+.\"---------------
+.nr ds*fill! 0\" no fill
+.nr ds*fill!N 0\" no fill
+.nr ds*fill!0 0\" no fill
+.nr ds*fill!F 1\" fill on
+.nr ds*fill!1 1\" fill on
+.\"---------------
+.de ds@start
+.nr ds*ffloat \\$1
+.ds ds*type \\$2
+.shift 2
+.nr ds*lvl +1
+.\" get format of the display
+.ie \\n[.$] \{\
+. ie r ds*format!\\$1 .nr ds*format \\n[ds*format!\\$1]
+. el .@error "\\*[ds*type]:wrong format:\\$1"
+.\}
+.el .nr ds*format 0
+.\" fill or not to fill, that is the...
+.nr ds*fill 0
+.ie \\n[.$]>1 \{\
+. ie r ds*fill!\\$2 .nr ds*fill \\n[ds*fill!\\$2]
+. el .@error "\\*[ds*type]:wrong fill:\\$2"
+.\}
+.nr ds*rindent 0
+.if \\n[.$]>2 .nr ds*rindent \\$3
+.\"
+.\"---------------
+.nr ds*old-ll \\n[.l]
+.misc@push ds-ll \\n[.l]
+.misc@push ds-form \\n[ds*format]
+.misc@push ds-ffloat \\n[ds*ffloat]
+.nr ds*i \\n[.i]
+.nr ds*ftmp \\n[.f]
+.misc@ev-keep ds*ev!\\n+[ds*snr]
+.ft \\n[ds*ftmp]
+.\"
+.init@reset
+'in \\n[ds*i]u
+.di ds*div!\\n[ds*snr]
+.\"
+.ll \\n[ds*old-ll]u
+.lt \\n[ds*old-ll]u
+.if \\n[ds*rindent] \{\
+. ll -\\n[ds*rindent]n
+. lt -\\n[ds*rindent]n
+.\}
+.if \\n[ds*wide] \{\
+. ll \\n[@ll]u
+. lt \\n[@ll]u
+.\}
+.\"
+.ie \\n[ds*fill] 'fi
+.el 'nf
+.\"
+.if \\n[ds*format]=1 \{\
+. ll -\\n[Si]n
+. lt -\\n[Si]n
+' in +\\n[Si]n
+.\}
+.if (\\n[ds*format]=3):(\\n[ds*format]=5) 'in 0
+..
+.\"---------------
+.de DE
+.if \\n-[ds*lvl]<0 .@error "DE: no corresponding DS or DF"
+.br
+.if \\n[ds*ffloat] .SP \\n[Lsp]u
+.di
+.\" find out the real size of the diversion
+.di ds*test
+.ds*div!\\n[ds*snr]
+.di
+.nr ds*width \\n[dl]
+.nr ds*height \\n[dn]
+.rm ds*test
+.misc@pop-nr ds-ll ds*old-ll
+.misc@pop-nr ds-form ds*format
+.misc@pop-nr ds-ffloat ds*ffloat
+.if (\\n[ds*format]>=2)&(\\n[ds*width]>\\n[ds*old-ll]) \{\
+. @error "DE: display too wide for current line-length"
+.\}
+.\" prepare copy to floating display
+.if \\n[ds*ffloat] .di ds*fdiv!\\n+[ds*fnr]
+.\"
+'in 0
+'nf
+.if \\n[ds*format]=2 'ce 9999
+.if \\n[ds*format]=3 'in (u;(\\n[ds*old-ll]-\\n[ds*width])/2)
+.if \\n[ds*format]=4 'rj 9999
+.if \\n[ds*format]=5 'in (u;\\n[ds*old-ll]-\\n[ds*width])
+.\"
+.ie !\\n[ds*ffloat] \{\
+. \"
+. \" Print static display
+. \" Eject page if display will fit one page and
+. \" there are less than half of the page left.
+. nr ds*i \\n[pg*foot-trap]-\\n[pg*header-size]v-\\n[pg*extra-header-size]v
+. if (\\n[ds*height]>\\n[ds*i])&(\\n[.t]<(\\n[ds*i]/2)) \{\
+. ne \\n[.t]u+1v
+. \}
+. if (\\n[ds*height]<\\n[ds*i])&(\\n[.t]<(\\n[ds*height])) \{\
+. ne \\n[.t]u+1v
+. \}
+. if \\n[Ds] .SP \\n[Lsp]u
+.\}
+.el .SP \\n[Lsp]u
+.ds*div!\\n[ds*snr]
+.ie !\\n[ds*ffloat] .if \\n[Ds] .SP \\n[Lsp]u
+.el \{\
+. SP \\n[Lsp]u
+. di
+.\}
+.if \\n[ds*format]=2 'ce 0
+.if \\n[ds*format]=4 'rj 0
+.rm ds*div!\\n[ds*snr]
+.nr ds*snr -1
+.nr par@ind-flag 0
+.\" move div to the floating display list
+.ev
+.if \\n[ds*ffloat] \{\
+. nr ds*fsize!\\n[ds*fnr] \\n[dn]
+. \" print float if queue is empty and the display fits into
+. \" the current page
+. if ((\\n[ds*fnr]>\\n[ds*o-fnr])&(\\n[ds*height]<\\n[.t])) \{\
+. ds@print-float 1
+. \}
+.\}
+..
+.\"-------------
+.\" called by end-of-text
+.de ds@eot-print
+.if \\n[ds*o-fnr]<=\\n[ds*fnr] \{\
+. if \\n[D]>2 .tm Print remaining displays.
+.\" still some floats left, make non-empty environment
+. misc@ev-keep ne
+. init@reset
+\c
+. ds@print-float 3
+. ev
+.\}
+..
+.\"---------------
+.\" print according to Df and De.
+.\" .ds@print-float type
+.\" type called from
+.\" 1 .DE
+.\" 2 end of section
+.\" 3 end of document
+.\" 4 beginning of new page
+.\"
+.de ds@print-float
+.if \\n[Df]>5 .@error "Df=\\n[Df], max value is 5"
+.if !\\n[ds*float-busy] \{\
+. nr ds*float-busy 1
+.\" at .DE
+. if (\\$1=1)&((\\n[Df]%2)=1) \{\
+. if \\n[.t]>\\n[ds*fsize!\\n[ds*o-fnr]] \{\
+. \" Df = 1,3 or 5
+. ds@print-one-float
+. \}
+. \}
+.\" print all if Df<2 and end of section
+. if (\\$1=2)&(\\n[Df]<2) .ds@print-all-floats
+.\" print all if end of document. Where should they go instead?
+. if \\$1=3 .ds@print-all-floats
+.\" new page
+. if (\\$1=4)&(\\n[Df]>1) \{\
+. if \\n[Df]=2 .ds@print-one-float
+. if \\n[Df]=3 .ds@print-one-float
+. if \\n[Df]>3 \{\
+. ie \\n[De] .ds@print-all-floats
+. el .ds@print-this-page
+. \}
+. \}
+. nr ds*float-busy 0
+.\}
+..
+.\"---------------
+.\" print a floating diversion
+.de ds@output-div
+.ev ds*fev
+.in 0
+.nf
+.ds*fdiv!\\n[ds*o-fnr]
+.ev
+.rm ds*fdiv!\\n[ds*o-fnr]
+.rm ds*fsize!\\n[ds*o-fnr]
+.rm ds*fformat!\\n[ds*o-fnr]
+.nr ds*o-fnr +1
+..
+.\"---------------
+.\" print one floating display if there is one.
+.de ds@print-one-float
+.if \\n[ds*o-fnr]<=\\n[ds*fnr] \{\
+. if \\n[.t]<\\n[ds*fsize!\\n[ds*o-fnr]] .pg@next-page
+. ds@output-div
+. if \\n[De] .pg@next-page
+.\}
+..
+.\"---------------
+.\" print all queued floats.
+.\" if De>0 do a page eject between the floats.
+.de ds@print-all-floats
+.while \\n[ds*o-fnr]<=\\n[ds*fnr] \{\
+. if \\n[.t]<\\n[ds*fsize!\\n[ds*o-fnr]] .pg@next-page
+. ds@output-div
+. if \\n[De] .pg@next-page
+.\}
+..
+.\"---------------
+.\" print as many floats as will fit on the current page
+.de ds@print-this-page
+.while \\n[ds*o-fnr]<=\\n[ds*fnr] \{\
+. if \\n[.t]<\\n[ds*fsize!\\n[ds*o-fnr]] .break
+. ds@output-div
+.\}
+..
+.\"########### module list ###################
+.\" .LI text-indent mark-indent pad type [mark [LI-space [LB-space] ] ]
+.\"
+.nr li*tind 0
+.nr li*mind 0
+.nr li*pad 0
+.nr li*type 0
+.ds li*mark 0
+.nr li*li-spc 0
+.nr li*lvl 0 1
+.nr li*cur-vpos 0
+.\"--------------------------
+.\" the major list-begin macro.
+.\" If type == -1 a 'break' will occur.
+.de LB
+.if \\n[.$]<4 .@error "LB: not enough arguments, min 4"
+.misc@push cind \\n[.i]
+.misc@push tind \\n[li*tind]
+.misc@push mind \\n[li*mind]
+.misc@push pad \\n[li*pad]
+.misc@push type \\n[li*type]
+.misc@push li-spc \\n[li*li-spc]
+.ds li*mark-list!\\n[li*lvl] \\*[li*mark]
+.nr li*lvl +1
+.\"
+.nr li*tind (n;0\\$1)\" text-indent
+.nr li*mind (n;0\\$2)\" mark-indent
+.nr li*pad (n;0\\$3)\" pad
+.nr li*type 0\\$4\" type
+.ds li*mark \\$5\" mark
+.ie !'\\$6'' .nr li*li-spc \\$6\" LI-space
+.el .nr li*li-spc 1
+.ie !'\\$7'' .nr li*lb-spc \\$6\" LB-space
+.el .nr li*lb-spc 0
+.\" init listcounter
+.nr li*cnt!\\n[li*lvl] 0 1
+.\" assign format
+.af li*cnt!\\n[li*lvl] 1
+.if \\n[li*type] .if !'\\*[li*mark]'' .af li*cnt!\\n[li*lvl] \\*[li*mark]
+.\"
+.if \\n[li*lb-spc] .SP (u;\\n[li*lb-spc]*\\n[Lsp])
+.in +\\n[li*tind]u
+..
+.\"---------------
+.de LI
+.if \\n[li*lvl]<1 .@error "LI:no lists active"
+.if \\n[li*li-spc]&(\\n[Ls]>=\\n[li*lvl]) .SP (u;\\n[li*li-spc]*\\n[Lsp])
+.ne 2v
+.\"
+.ds li*c-mark \\*[li*mark]
+.nr li*cnt!\\n[li*lvl] +1
+.if \\n[li*type]=1 .ds li*c-mark \\n[li*cnt!\\n[li*lvl]].
+.if \\n[li*type]=2 .ds li*c-mark \\n[li*cnt!\\n[li*lvl]])
+.if \\n[li*type]=3 .ds li*c-mark (\\n[li*cnt!\\n[li*lvl]])
+.if \\n[li*type]=4 .ds li*c-mark [\\n[li*cnt!\\n[li*lvl]]]
+.if \\n[li*type]=5 .ds li*c-mark <\\n[li*cnt!\\n[li*lvl]]>
+.if \\n[li*type]=6 .ds li*c-mark {\\n[li*cnt!\\n[li*lvl]]}
+.if \\n[.$]=1 .ds li*c-mark \\$1
+.if \\n[.$]=2 .ds li*c-mark \\$1\ \\*[li*c-mark]
+.if '\\*[li*c-mark]'\ ' .ds li*c-mark
+.\"
+.\" determine where the text begins
+.nr li*text-begin \\n[li*tind]>?\w@\\*[li*c-mark]\ @
+.nr x \w@\\*[li*c-mark]\ @
+.\"
+.\" determine where the mark begin
+.ie !\\n[li*pad] .nr li*in \\n[li*mind]
+.el .nr li*in \\n[li*text-begin]-\\n[li*pad]-\w@\\*[li*c-mark]@
+.if !\\n[li*in] .nr li*in 0
+.\"
+.ti -\\n[li*tind]u
+.\" no indentation if hanging indent
+.if (\w@\\*[li*c-mark]@=0)&((\\n[.$]=0):(\w@\\$1@=0)) .nr li*text-begin 0
+\Z'\&\h'\\n[li*in]u'\\*[li*c-mark]'\h'\\n[li*text-begin]u'\&\c
+.if \\n[li*type]=-1 .br
+..
+.\"
+.\"-------------
+.de li@pop
+.nr li*lvl -1
+.misc@pop-nr cind li*tmp
+.in \\n[li*tmp]u
+.misc@pop-nr tind li*tind
+.misc@pop-nr mind li*mind
+.misc@pop-nr pad li*pad
+.misc@pop-nr type li*type
+.misc@pop-nr li-spc li*li-spc
+.ds li*mark \\*[li*mark-list!\\n[li*lvl]]
+..
+.de LE
+.if \\n[li*lvl]<1 .@error "LE:mismatched"
+.li@pop
+.if '\\$1'1' .SP \\n[Lsp]u
+..
+.\"-------------
+.\" list status clear.
+.de LC
+.if !\\n[.$]=1 .@error "LC: no argument"
+.if \\$1>\\n[li*lvl] .@error "LC: incorrect argument: \\$1 (too big)"
+.while \\n[li*lvl]>\\$1 .li@pop
+.nr par@ind-flag 0
+..
+.\"-------------
+.de AL
+.if \\n[.$]>3 .@error "AL: too many arguments"
+.if \\n[D]>2 .tm AL $*
+.ie \\n[.$]<=1 .LB \\n[Li] 0 2 1 "\\$1"
+.el \{\
+. ie \\n[.$]=2 .LB 0\\$2 0 2 1 "\\$1"
+. el \{\
+. ie !'\\$2'' .LB \\$2 0 2 1 "\\$1" 0 1
+. el .LB \\n[Li] 0 2 1 "\\$1" 0 1
+. \}
+.\}
+..
+.de ML
+.if \\n[.$]>3 .@error "ML: too many arguments"
+.if \\n[D]>2 .tm ML $*
+.nr li*ml-width \w@\\$1@u+1n
+.if \\n[.$]<2 .LB \\n[li*ml-width]u 0 1 0 "\\$1"
+.if \\n[.$]=2 .LB 0\\$2 0 1 0 "\\$1"
+.if \\n[.$]=3 \{\
+. ie '\\$2'' .LB \\n[li*ml-width]u 0 1 0 "\\$1" 0 1
+. el .LB \\n[Li] 0 1 0 "\\$1" 0 1
+.\}
+..
+.de VL
+.if \\n[D]>2 .tm VL $*
+.if \\n[.$]>3 .@error "VL: too many arguments"
+.if \\n[.$]<1 .@error "VL: missing text-indent"
+.ie \\n[.$]<3 .LB 0\\$1 0\\$2 0 0
+.el .LB 0\\$1 0\\$2 0 0 \& 0 1
+..
+.\" Bullet (for .BL)
+.de BL
+.if \\n[D]>2 .tm BL $*
+.ds BU \s-2\(bu\s0
+.if \\n[.$]>2 .@error "BL: too many arguments"
+.if \\n[.$]<1 .LB \\n[Pi] 0 1 0 \\*[BU]
+.if \\n[.$]=1 .LB 0\\$1 0 1 0 \\*[BU]
+.if \\n[.$]=2 \{\
+. ie '\\$1'' .LB \\n[Pi] 0 1 0 \\*[BU] 0 1
+. el .LB 0\\$1 0 1 0 \\*[BU] 0 1
+.\}
+..
+.de DL
+.if \\n[D]>2 .tm DL $*
+.if \\n[.$]>2 .@error "DL: too many arguments"
+.if \\n[.$]<1 .LB \\n[Pi] 0 1 0 \(em
+.if \\n[.$]=1 .LB 0\\$1 0 1 0 \(em
+.if \\n[.$]=2 \{\
+. ie '\\$1'' .LB \\n[Pi] 0 1 0 \(em 0 1
+. el .LB 0\\$1 0 1 0 \(em 0 1
+.\}
+..
+.de RL
+.if \\n[D]>2 .tm RL $*
+.if \\n[.$]>2 .@error "RL: too many arguments"
+.if \\n[.$]<1 .LB 6 0 2 4
+.if \\n[.$]=1 .LB 0\\$1 0 2 4
+.if \\n[.$]=2 \{\
+. ie '\\$1'' .LB 6 0 2 4 1 0 1
+. el .LB 0\\$1 0 2 4 1 0 1
+.\}
+..
+.\" Broken Variable List. As .VL but text begin on the next line
+.de BVL
+.if \\n[D]>2 .tm BVL $*
+.if \\n[.$]>3 .@error "BVL: too many arguments"
+.if \\n[.$]<1 .@error "BVL: missing text-indent"
+.ie \\n[.$]<3 .LB 0\\$1 0\\$2 0 -1
+.el .LB 0\\$1 0\\$2 0 -1 \& 0 1
+..
+.\" ####### module tbl #######################################
+.\" This module is copied from groff_ms and modified for mgm.
+.\" Yes, it does not resemble the original anymore :-).
+.\" Don't know if I missed something important.
+.\" Groff_ms is written by James Clark.
+.nr tbl*have-header 0
+.nr tbl*header-written 0
+.de TS
+.br
+.if ''\\n[.z]' .SP
+.if '\\$1'H' .di tbl*header-div
+..
+.de tbl@top-hook
+.if \\n[tbl*have-header] \{\
+. ie \\n[.t]-\\n[tbl*header-ht]-1v .tbl@print-header
+. el .sp \\n[.t]u
+.\}
+..
+.de tbl@bottom-hook
+.if \\n[tbl*have-header] \{\
+. nr T. 1
+.\" draw bottom and side lines of boxed tables.
+. T#
+.\}
+.nr tbl*header-written 0
+..
+.de tbl@print-header
+.ev tbl*ev
+'nf
+.tbl*header-div
+.ev
+.mk #T
+.nr tbl*header-written 1
+..
+.de TH
+.ie '\\n[.z]'tbl*header-div' \{\
+. nr T. 0
+. T#
+. br
+. di
+. nr tbl*header-ht \\n[dn]
+. ne \\n[dn]u+1v
+. nr tbl*have-header 1
+. ie '\\$1'N' .if !\\n[tbl*header-written] .tbl@print-header
+. el .tbl@print-header
+.\}
+.el .@error ".TH without .TS H"
+..
+.de TE
+.ie '\\n(.z'tbl*header-div' .@error ".TS H but no .TH before .TE"
+.el \{\
+. nr tbl*have-header 0
+.\}
+.\" reset tabs
+.TAB
+..
+.de T&
+..
+.\" ####### module pic #######################################
+.de PS
+.nr pic*in 0
+.br
+.SP .5
+.ie \\n[.$]<2 .@error "PS: bad arguments. Probably not processed with pic."
+.el \{\
+. if !\\n[ds*lvl] .ne (u;\\$1)+1v
+.\" should be contained between .DS/.DE
+.if r ds*format \{\
+. if \\n[ds*lvl]&((\\n[ds*format]=2):(\\n[ds*format]=3)) \{\
+. nr pic*in \\n[.i]
+.\" . in +(u;\\n[.l]-\\n[.i]-\\$2/2)
+. \}
+. \}
+.\}
+..
+.de PE
+.init@reset
+.SP .5
+..
+.\" ####### module eq #######################################
+.\"
+.nr eq*number 0 1
+.de EQ
+.ds eq*lable "\\$1
+.di eq*div
+.misc@ev-keep eq*ev
+.in 0
+.nf
+..
+.de EN
+.br
+.di
+.ta
+.\" equation with lable.
+.if \\n[dl] \{\
+. br
+. chop eq*div
+. ie (\\n[Eq]%2) \{\
+. \" lable to the left
+. if \\n[ds*format]<2 \{\
+. ta (u;(\\n[.l]/7)+\\n[.i]) \\n[.l]u\" L
+\\*[eq*lable]\t\\*[eq*div]\t\&
+. \}
+. if (\\n[ds*format]=2):(\\n[ds*format]=3) \{\
+. ta (u;(\\n[.l]-\\n[.i])/2+\\n[.i])C \\n[.l]u\" C
+\\*[eq*lable]\t\\*[eq*div]\t\&
+. \}
+. if \\n[ds*format]>3 \{\
+. ta \\n[.l]uR\" R
+\\*[eq*lable]\t\\*[eq*div]
+. \}
+. \}
+. el \{\
+. \" lable to the right
+. if \\n[ds*format]<2 \{\
+. ta \\n[.l]uR\" L
+\\*[eq*div]\t\\*[eq*lable]
+. \}
+. if (\\n[ds*format]=2):(\\n[ds*format]=3) \{\
+. ta (u;(\\n[.l]-\\n[.i])/2+\\n[.i])C \\n[.l]uR\" C
+\t\\*[eq*div]\t\\*[eq*lable]
+. \}
+. if \\n[ds*format]>3 \{\
+. ta (\\n[.l]u-\w@\\*[eq*lable]@u-1m)R \\n[.l]uR\" R
+\t\\*[eq*div]\t\\*[eq*lable]
+. \}
+. \}
+.\}
+.TAB
+.ev
+..
+.\"########### module toc ###################
+.\" table of contents
+.nr toc*slevel 1
+.nr toc*spacing \n[Lsp]u
+.nr toc*tlevel 2
+.nr toc*tab 0
+.\"-----------
+.\" Table of contents with friends (module lix)
+.de TC
+.br
+.\" print any pending displays and references
+.ds@print-float 3
+.if \\n[ref*flag] .RP 0 1
+.\"
+.if \w@\\$1@>0 .nr toc*slevel \\$1
+.if \w@\\$2@>0 .nr toc*spacing (u;\\$2*\\n[Lsp])
+.if \w@\\$3@>0 .nr toc*tlevel \\$3
+.if \w@\\$4@>0 .nr toc*tab \\$4
+.if \\n[pg*cols-per-page]>1 .1C
+.pg@clear-hd
+.pg@next-page
+.pg@clear-ft
+.\"-------------
+.if d Ci .toc@read-Ci \\*[Ci]
+.nf
+.in 0
+.nr toc*pn 0 1
+.af toc*pn i
+.PF "''\\\\\\\\n+[toc*pn]''"
+.nr toc*i 4 1
+.while \\n+[toc*i]<10 \{\
+. if !'\\$\\n[toc*i]'' \{\
+. ce
+\\$\\n[toc*i]
+. br
+. \}
+.\}
+.if \\n[.$]<=4 .if d TX .TX
+.ie d TY .if \\n[.$]<=4 .TY
+.el \{\
+. ce
+\\*[Licon]
+. br
+. SP 3
+.\}
+.if d toc*list .toc*list
+.\" print LIST OF XXX
+.if d lix*dsfg .lix@print-ds fg "\\*[Lf]"
+.if d lix*dstb .lix@print-ds tb "\\*[Lt]"
+.if d lix*dsec .lix@print-ds ec "\\*[Le]"
+.if d lix*dsex .lix@print-ds ex "\\*[Lx]"
+..
+.\"-----------
+.\" .toc@read-Ci lev1 lev2 lev3 lev4 ... lev7
+.de toc@read-Ci
+.nr toc*i 0 1
+.while \\n+[toc*i]<8 \{\
+. nr toc*hl!\\n[toc*i] \\$\\n[toc*i]
+.\}
+..
+.\"-----------
+.de toc@save
+.\" collect maxsize of mark if string Ci don't exist.
+.if !d Ci \{\
+. if !r toc*hl!\\$1 .nr toc*hl!\\$1 0
+. if \\n[toc*hl!\\$1]<=\w@\\$2@ \{\
+. nr toc*hl!\\$1 \w@\\$2@u+1m
+. \}
+.\}
+.am toc*list
+.\" .toc@set level headernumber text pagenr
+.toc@set \\$1 "\\$2" "\\$3" \\$4
+\\..
+..
+.\"-----------
+.\" level mark text pagenumber
+.de toc@set
+.if \\$1<=\\n[toc*slevel] .SP \\n[toc*spacing]u
+.ne 2v
+.na
+.fi
+.nr toc*ind 0
+.nr toc*i 0 1
+.ie d Ci \{\
+. nr toc*ind +\\n[toc*hl!\\$1]u
+.\}
+.el \{\
+. while \\n+[toc*i]<\\$1 \{\
+. nr toc*ind +\\n[toc*hl!\\n[toc*i]]u
+. \}
+.\}
+.nr toc*text \\n[toc*ind]u+\\n[toc*hl!\\$1]u
+.in \\n[toc*text]u
+.ti -\\n[toc*hl!\\$1]u
+.\"
+.\" length of headernum space
+.nr toc*i \\n[toc*hl!\\$1]-\w@\\$2@
+.\"
+.ll \\n[@ll]u-\w@\\$4@u-2m
+.\" ragged right ---------------------------------
+.ie \\$1>\\n[toc*tlevel] \{\
+\\$2
+. sp -1
+\\$3\ \ \ \\$4
+. br
+.\}
+.el \{\
+. \" unnumbered heading --------------------
+. ie '\\$2'' \{\
+. in \\n[toc*ind]u
+\\$3\h'1m'
+. \}
+. \" normal heading ------------------------
+. el \{\
+\\$2
+. sp -1
+\\$3\h'1m'
+. \}
+. ll \\n[@ll]u
+. sp -1
+. nr toc*sep (u;\\n[.l]-\\n[.n]-\\n[.i]-\w@\\$4@)-1m
+\h'|\\n[.n]u'\l'\\n[toc*sep]u.'\h'1m'\\$4
+.\}
+.ll \\n[@ll]u
+..
+.\"########################### module lix ############################
+.\" LIST OF figures, tables, exhibits and equations
+.nr lix*fg-nr 0 1
+.nr lix*tb-nr 0 1
+.nr lix*ec-nr 0 1
+.nr lix*ex-nr 0 1
+.aln Fg lix*fg-nr
+.aln Tb lix*tb-nr
+.aln Ec lix*ec-nr
+.aln Ex lix*ex-nr
+.\"------------
+.de FG
+.lix@print-line fg Lf \\n+[lix*fg-nr] "\\$1" "\\$2" "\\$3" "\\$4"
+..
+.de TB
+.lix@print-line tb Lt \\n+[lix*tb-nr] "\\$1" "\\$2" "\\$3" "\\$4"
+..
+.de EC
+.lix@print-line ec Le \\n+[lix*ec-nr] "\\$1" "\\$2" "\\$3" "\\$4"
+..
+.de EX
+.lix@print-line ex Lx \\n+[lix*ex-nr] "\\$1" "\\$2" "\\$3" "\\$4"
+..
+.\"------------
+.\" print line with 'figure' in the text
+.\" type stringvar number text override flag refname
+.de lix@print-line
+.ds lix*text "\\$4
+.\"
+.ie \\n[Sectf] .ds lix*numb \\n[H1]-\\$3
+.el .ds lix*numb \\$3
+.\"
+.ie !\\n[Of] .ds lix*ds-form .\ \ \"
+.el .ds lix*ds-form "\ \(em\ \"
+.nr lix*in \\n[.i]
+.ds lix*lable \\*[Li\\$1]\ \\*[lix*numb]\\*[lix*ds-form]
+.if !'\\$5'' \{\
+. if !0\\$6 .ds lix*lable \\*[Li\\$1]\ \\$5\\*[lix*numb]\\*[lix*ds-form]
+. if 0\\$6=1 .ds lix*lable \\*[Li\\$1]\ \\*[lix*numb]\\$5\\*[lix*ds-form]
+. if 0\\$6=2 .ds lix*lable \\*[Li\\$1]\ \\$5\\*[lix*ds-form]
+.\}
+.ie \\n[Sectp] .ds lix*pgnr \\*[hd*sect-pg]
+.el .ds lix*pgnr \\n[%]
+.\" print line if not between DS/DE
+.ie \\n[ds*lvl]<1 .lix@print-text "\\*[lix*lable]" "\\*[lix*text]"
+.el .lix@embedded-text "\\*[lix*lable]" "\\*[lix*text]"
+.\"
+.\" save line for LIST OF XXX
+.if !r lix*wth\\$1 .nr lix*wth\\$1 0
+.if \w@\\*[lix*lable]@>\\n[lix*wth\\$1] .nr lix*wth\\$1 \w@\\*[lix*lable]@
+.if \\n[\\$2] .lix@ds-save \\$1 \\*[lix*pgnr] "\\$4" "\\*[lix*lable]"
+.if !'\\$7'' .SETR \\$7 \\*[lix*numb]
+..
+.\"-----------
+.de lix@print-text
+.SP \\n[Lsp]u
+.misc@ev-keep lix
+.init@reset
+.br
+.ie (\w@\\$1\\$2@)>(\\n[.l]-\\n[.i]) \{\
+. in +\w@\\$1@u
+. ti 0
+.\}
+.el .ce 1
+\fB\\$1\fP\\$2
+.br
+.ev
+..
+.\" hide printout until diversion is evaluated
+.de lix@embedded-text
+\!.SP \\n[Lsp]u
+\!.misc@ev-keep lix
+\!.init@reset
+\!.br
+\!.ie (\w@\\$1\\$2@)>(\\n[.l]-\\n[.i]) \{\
+. in +\w@\\$1@u
+\!. ti 0
+\!.\}
+\!.el .ce 1
+\!\fB\\$1\fP\\$2
+\!.br
+\!.ev
+..
+.\"------------
+.\" print complete list of XXXX
+.de lix@print-ds
+.\" arg: fg,tb,ec,ex text
+.if !\\n[Cp] .pg@next-page
+.\" print LIST OF XXXX
+.ce
+\\$2
+.SP 3
+.in \\n[lix*wth\\$1]u
+.fi
+.lix*ds\\$1
+..
+.\"------------
+.\" save line of list in macro
+.de lix@ds-save
+.\" type pagenumber text
+.am lix*ds\\$1
+.lix@dsln \\$1 \\$2 "\\$3" "\\$4" \\$5
+\\..
+..
+.\"------------
+.\" print appended macro
+.\" lix@dsln type pagenumber text headernr
+.de lix@dsln
+.nr lix*i \\n[lix*wth\\$1]-\w@\\$4@
+.ne 2v
+.nr lix*sep \\n[.l]-\\n[lix*i]-\w'\\$4\\$3\\$2'-1m-1n-\\n[.i]
+\h'\\n[lix*i]u'\\$4\\$3\h'1n'\l'\\n[lix*sep]u.'\h'1m'\\$2
+.SP \\n[toc*spacing]u
+..
+.\"########################### module fnt ############################
+.\" some font macros.
+.de R
+.ft R
+.ul 0
+..
+.\"-----------
+.de fnt@switch
+.ul 0
+.ds fnt*tmp
+.nr fnt*prev \\n[.f]
+.nr fnt*i 2 1
+.while \\n+[fnt*i]<=\\n[.$] \{\
+. if \\n[fnt*i]>3 .as fnt*tmp \,
+. ie (\\n[fnt*i]%2)=1 .as fnt*tmp \\$1\\$[\\n[fnt*i]]
+. el .as fnt*tmp \\$2\\$[\\n[fnt*i]]
+. if \\n[fnt*i]<\\n[.$] .as fnt*tmp \/
+.\}
+\&\\*[fnt*tmp]\f[\\n[fnt*prev]]
+..
+.\"-----------
+.de B
+.ie \\n[.$] .fnt@switch \fB \f[\\n[.f]] \\$@
+.el .ft B
+..
+.de I
+.ie \\n[.$] .fnt@switch \fI \f[\\n[.f]] \\$@
+.el .ft I
+..
+.de IB
+.if \\n[.$] .fnt@switch \fI \fB \\$@
+..
+.de BI
+.if \\n[.$] .fnt@switch \fB \fI \\$@
+..
+.de IR
+.if \\n[.$] .fnt@switch \fI \fR \\$@
+..
+.de RI
+.if \\n[.$] .fnt@switch \fR \fI \\$@
+..
+.de RB
+.if \\n[.$] .fnt@switch \fR \fB \\$@
+..
+.de BR
+.if \\n[.$] .fnt@switch \fB \fR \\$@
+..
+.\"########################### module box ############################
+.\" draw a box around some text. Text will be kept on the same page.
+.\"
+.nr box*ll 0
+.\" .B1 and .B2 works like .DS
+.de B1
+.if \\n[box*ll] .@error "B1: missing B2"
+.nr box*ll \\n[.l]
+.nr box*ind \\n[.i]
+.nr box*hyp \\n[.hy]
+.nr box*wid \\n[.l]-\\n[.i]
+.\"
+.\" jump to new environment.
+.ev box*ev
+.di box*div
+.ps \\n[@ps]
+.vs \\n[@vs]
+.in 1n
+.ll (u;\\n[box*wid]-1n)
+.hy \\n[.hy]
+..
+.de B2
+.if !\\n[box*ll] .@error "B2: missing B1"
+.br
+.di
+.nr box*height \\n[dn]
+.ne \\n[dn]u+1v
+.ll \\n[box*ll]u
+.in \\n[box*ind]u
+.nr box*y-pos \\n[.d]u
+.nf
+.box*div
+.fi
+\v'-1v+.25m'\
+\D'l \\n[box*wid]u 0'\
+\D'l 0 -\\n[box*height]u'\
+\D'l -\\n[box*wid]u 0'\
+\D'l 0 \\n[box*height]u'
+.br
+.sp -1
+.ev
+.sp .20v
+.in \\n[box*ind]u
+.ll \\n[box*ll]u
+.rm box*div
+.nr box*ll 0
+..
+.\"########################### module ref ############################
+.nr ref*nr 0 1
+.nr ref*nr-width 5n
+.nr ref*flag 0 \" for end-of-text
+.ds Rf \v'-.4m'\s-3[\\n+[ref*nr]]\s0\v'.4m'
+.\"
+.\" start reference
+.\"------------
+.de RS
+.if !''\\$1' .ds \\$1 \\n[ref*nr]
+.nr ref*flag 1
+.am ref*mac
+.ref@start-print \\n[ref*nr]
+\\..
+.eo
+.am ref*mac RF
+..
+.\"------------
+.de RF
+.ec
+.am ref*mac
+.ref@stop-print
+\\..
+..
+.\"------------
+.de ref@start-print
+.di ref*div
+.in \\n[ref*nr-width]u
+.ti -(\w@\\$1.@u+1n)
+\\$1.
+.sp -1
+..
+.de ref@stop-print
+.br
+.di
+.ne \\n[dn]u
+.ev ref*ev2
+.nf
+.ref*div
+.ev
+.rm ref*div
+.if \\n[Ls] .SP \\n[Lsp]u
+..
+.\"-----------
+.de RP
+.if !d ref*mac .@error "RP: No references!"
+.nr ref*i 0\\$2
+.if \\n[ref*i]<2 .SK
+.SP 2
+.ref@print-refs
+.if 0\\$1<1 .nr ref*nr 0 1
+.if ((\\n[ref*i]=0):(\\n[ref*i]=2)) .SK
+..
+.\"-----------
+.\" called by end-of-text!
+.de ref@eot-print
+.\".if \\n[ref*flag] \{
+.if d ref*mac \{\
+. if \\n[D]>2 .tm Print references, called by eot
+. nr ref*flag 0
+. br
+. misc@ev-keep ne
+. init@reset
+\c
+' bp
+. ev
+. ref@print-refs
+.\}
+..
+.\"-----------
+.\" prints the references
+.de ref@print-refs
+.toc@save 1 "" "\\*[Rp]" \\n[%]
+.ce
+\fI\\*[Rp]\fP
+.sp
+.nr ref*ll \\n[.l]
+.misc@ev-keep ref*ev
+.ll \\n[ref*ll]u
+.in 0
+.ref*mac
+.in
+.rm ref*mac
+.ev
+..
+.\"########################### module app ############################
+.\"
+.nr app*nr 0 1
+.af app*nr A
+.nr app*dnr 0 1
+.\"------------
+.\" .APP name text
+.\" name == "" -> autonumber
+.de APP
+.\" .if \\n[.$]<2 .@error "APP: too few arguments"
+.app@set-ind "\\$1"
+.\"
+.ie \\n[Aph] .app@header \\*[app*ind] "\\$2"
+.el .bp
+.app@index "\\*[app*ind]" "\\$2"
+..
+.\"------------
+.\" .APPSK name pages text
+.\" name == "" -> autonumber
+.de APPSK
+.if \\n[.$]<2 .@error "APPSK: too few arguments"
+.app@set-ind "\\$1"
+.\"
+.ie \\n[Aph] .app@header \\*[app*ind] "\\$3"
+.el .bp
+.app@index "\\*[app*ind]" "\\$3"
+.pn +\\$2
+..
+.\"------------
+.de app@set-ind
+.ie \w@\\$1@ .ds app*ind \\$1
+.el \{\
+. if !\\n[app*dnr] \{\
+. nr H1 0 1
+. af H1 A
+. \}
+. ds app*ind \\n+[app*nr]
+. nr H1 \\n+[app*dnr]
+.\}
+.\" clear lower counters
+.nr app*i 1 1
+.while \\n+[app*i]<8 .nr H\\n[app*i] 0 1
+..
+.\"------------
+.de app@index
+.toc@save 1 "" "\\*[App] \\$1: \\$2" \\n[%]
+..
+.\"------------
+.\" app@heaer name text
+.de app@header
+.bp
+.SP (u;\\n[Lsp]*4)
+.ce 1
+\s+4\fB\\*[App]\ \\$1\fP\s0
+.SP (u;\\n[Lsp]*2)
+.if \w@\\$2@<\\n[.l] .ce 1
+\fB\s+2\\$2\s0\fP
+.SP (u;\\n[Lsp]*4)
+..
+.\"########################### module cov ############################
+.\" title stored in diversion cov*title
+.\" abstract stored in diversion cov*abstract
+.\" arg to abstract stored in cov*abs-arg
+.\" indent stored in cov*abs-ind
+.\" number of authors stored in cov*au
+.\" author(s) stored in cov*au!x!y
+.\" author(s) title stored in cov*at!x!y
+.\" x is the author-index [1-cov*au], y is the argument-index [1-9].
+.\" author(s) firm stored in cov*firm
+.\" new date (if .ND exists) is stored in cov*new-date
+.\"
+.\"
+.ds cov*abs-name ABSTRACT
+.\"
+.nr cov*au 0
+.de TL
+.if \\n[.$]>0 .ds cov*title-charge-case \\$1
+.if \\n[.$]>1 .ds cov*title-file-case \\$2
+.pg@disable-top-trap
+.eo
+.de cov*title AU
+..
+.\"-------------------
+.de cov@title-end
+.ec
+..
+.\"-------------------
+.\" .AU name [initials [loc [dept [ext [room [arg [arg [arg]]]]]]]]
+.de AU
+.cov@title-end
+.pg@disable-top-trap
+.if \\n[.$]<1 .@error "AU: no arguments"
+.nr cov*au +1
+.nr cov*i 0 1
+.while \\n[.$]>=\\n+[cov*i] \{\
+. ds cov*au!\\n[cov*au]!\\n[cov*i] "\\$[\\n[cov*i]]
+.\}
+.if (\\n[.$]>=3)&(\w@\\$3@) \{\
+. if d cov*location-\\$3] \{\
+. ds cov*au!3!\\n[cov*au] \\*[cov*location-\\$3]
+. \}
+.\}
+..
+.\"-------------------
+.\" .AT title1 [title2 [... [title9] ]]]]
+.\" Well, thats all that COVEND look for.
+.\" Must appear directly after .AU
+.de AT
+.if \\n[.$]<1 .@error "AT: no arguments"
+.nr cov*i 0 1
+.while \\n[.$]>=\\n+[cov*i] \{\
+. ds cov*at!\\n[cov*au]!\\n[cov*i] "\\$[\\n[cov*i]]
+.\}
+..
+.\"-------------------
+.de AF
+.cov@title-end
+.if \\n[.$]<1 .@error "AF: no arguments"
+.ds cov*firm \\$1
+..
+.de AST
+.ds cov*abs-name \\$1
+..
+.de AS
+.pg@disable-top-trap
+.if d cov*abstract .@error "AS: only one abstract allowed"
+.if !''\\n[.z]' .@error "AS: no diversion allowed (previous .AS?)"
+.nr cov*abs-arg 0\\$1
+.nr cov*abs-ind (n;0\\$2)
+.de cov*abstract AE
+..
+.de AE
+..
+.\" I am planning to use mgm some time :-)
+.ie \\n[yr]<50 .ds cov*new-date \\*[MO\\n[mo]] \\n[dy], 20\\n[yr]
+.el .ds cov*new-date \\*[MO\\n[mo]] \\n[dy], 19\\n[yr]
+.als DT cov*new-date
+.de ND
+.\" don't remember why I did this: .pg@disable-top-trap
+.ds cov*new-date \\$1
+..
+.\"-------------------
+.\" save technical numbers.
+.de TM
+.nr cov*i 0 1
+.while \\n[.$]>=\\n+[cov*i] .ds cov*mt-tm!\\n[cov*i] \\$[\\n[cov*i]]
+.nr cov*mt-tm-max \\n[.$]
+..
+.\"-----------------------
+.\" cover sheet
+.\" the file must have the following last lines (somewhere):
+.\" .pg@enable-top-trap
+.\" .bp 1
+.\" .pg@enable-trap
+.ds cov*mt-file!0 0.MT
+.ds cov*mt-file!1 0.MT
+.ds cov*mt-file!2 0.MT
+.ds cov*mt-file!3 0.MT
+.ds cov*mt-file!4 4.MT
+.ds cov*mt-file!5 5.MT
+.ds cov*mt-file!6 0.MT
+.\"------------
+.de MT
+.ie \\n[.$] \{\
+. ie d cov*mt-file!\\$1 .ds cov*mt-type \\$1
+. el .ds cov*mt-type 6
+.\}
+.el .ds cov*mt-type 1
+.ds cov*mt-addresse "\\$2
+.ds cov*mt-type-text "\\$1
+.ie d @language .ds cov*str mm/\\*[@language]_
+.el .ds cov*str mm/
+.mso \\*[cov*str]\\*[cov*mt-file!\\*[cov*mt-type]]
+..
+.de COVER
+.ie !\\n[.$] .ds cov*cov-type ms
+.el .ds cov*cov-type \\$1
+.pg@disable-top-trap
+.ie d @language .ds cov*str mm/\\*[@language]_\\*[cov*cov-type].cov
+.el .ds cov*str mm/\\*[cov*cov-type].cov
+.mso \\*[cov*str]
+..
+.\"########################### module qrf ############################
+.\" forward and backward reference thru special files.
+.\"
+.\" init reference system
+.de INITR
+.if \\n[.$]<1 .@error "INITR:filename missing"
+.\" ignore if INITR has already been used
+.if !r qrf*pass \{\
+.\"
+. ds qrf*file \\$1
+. sy test -f \\*[qrf*file].tmp
+. ie \\n[systat] \{\
+. \" PASS 1
+. if \\n[D]=1 .tm PASS 1
+. if \\n[D]>1 .tm INITR: file \\*[qrf*file].tmp, PASS 1
+. nr qrf*pass 1
+. open qrf*stream \\*[qrf*file].tmp
+. write qrf*stream .\\\\" references for \\*[qrf*file]
+. close qrf*stream
+. \}
+. el \{\
+. nr qrf*pass 2
+. if \\n[D]=1 .tm PASS 2
+. if \\n[D]>1 .tm INITR: file \\*[qrf*file].tmp, PASS 2
+. sy mv \\*[qrf*file].tmp \\*[qrf*file].qrf
+' so \\*[qrf*file].qrf
+. \}
+.\}
+..
+.\"---------------
+.\" set a reference.
+.de SETR
+.if \\n[.$]<1 .@error "SETR:reference name missing"
+.ie !r qrf*pass .tm "SETR: No .INITR in this file"
+.el \{\
+. ds qrf*name qrf*ref-\\$1
+.\" probably pass two if already defined
+. if \\n[qrf*pass]<2 \{\
+. if \\n[D]>2 .tm SETR: ref \\*[qrf*name]=\\*[hd*toc-mark],\\n[%]
+. \" heading-number
+. ds \\*[qrf*name]-hn \\*[hd*toc-mark]
+. \" page-number
+. ds \\*[qrf*name]-pn \\n[%]
+. \"
+. \" append to file
+. opena qrf*stream \\*[qrf*file].tmp
+. write qrf*stream .ds \\*[qrf*name]-hn \\*[hd*toc-mark]
+. write qrf*stream .ds \\*[qrf*name]-pn \\n[%]
+. if !'\\$2'' .write qrf*stream .ds \\*[qrf*name]-xx \\$2
+. close qrf*stream
+. \}
+.\}
+..
+.\"---------------
+.\" get misc-string, output <->42<-> in pass 1
+.\" If two arg -> set var. arg to misc-string.
+.de GETST
+.if \\n[.$]<1 .@error "GETST:reference name missing"
+.if !r qrf*pass .tm "GETST: No .INITR in this file"
+.ds qrf*name qrf*ref-\\$1
+.ie \\n[qrf*pass]=2 \{\
+. ie !d \\*[qrf*name]-xx .tm "GETHN:\\$1 not defined"
+. el \{\
+. ie \\n[.$]>1 .ds \\$2 \\*[\\*[qrf*name]-xx]
+. el \\*[\\*[qrf*name]-xx]\c
+. \}
+.\}
+.\" The answer...
+.el <->42<->\c
+..
+.\"---------------
+.\" get header-number, output X.X.X. in pass 1
+.\" If two arg -> set var. arg to header-number.
+.de GETHN
+.if \\n[.$]<1 .@error "GETHN:reference name missing"
+.if !r qrf*pass .tm "GETHN: No .INITR in this file"
+.ds qrf*name qrf*ref-\\$1
+.ie \\n[qrf*pass]=2 \{\
+. ie !d \\*[qrf*name]-hn .tm "GETHN:\\$1 not defined"
+. el \{\
+. ie \\n[.$]>1 .ds \\$2 \\*[\\*[qrf*name]-hn]
+. el \\*[\\*[qrf*name]-hn]\c
+. \}
+.\}
+.el X.X.X.\c
+..
+.\"---------------
+.\" get page-number, output 9999 in pass 1
+.\" If two arg -> set var. arg to page-number.
+.de GETPN
+.if \\n[.$]<1 .@error "GETPN:reference name missing"
+.if !r qrf*pass .tm "GETPN: No .INITR in this file"
+.ds qrf*name qrf*ref-\\$1
+.ie \\n[qrf*pass]=2 \{\
+. ie !d \\*[qrf*name]-pn .tm "GETPN:\\$1 not defined"
+. el \{\
+. ie \\n[.$]>1 .ds \\$2 \\*[\\*[qrf*name]-pn]
+. el \\*[\\*[qrf*name]-pn]\c
+. \}
+.\}
+.el 9999\c
+..
+.\"----------
+.de GETR
+.if \\n[.$]<1 .@error "GETR:reference name missing"
+.ie !r qrf*pass \{\
+. tm "GETR: No .INITR in this file"
+.\}
+.el \{\
+. if \\n[qrf*pass]=2 \{\
+. GETHN \\$1 Qrfh
+. GETPN \\$1 Qrfp
+\\*[Qrf]
+. \}
+.\}
+..
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