Adding upstream version 1.23.0.upstream/1.23.0upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 3734 insertions, 0 deletions

diff --git a/contrib/mm/m.tmac b/contrib/mm/m.tmac
new file mode 100644
index 0000000..c679a70
--- /dev/null
+++ b/contrib/mm/m.tmac
@@ -0,0 +1,3734 @@
+.ig
+
+Copyright (C) 1991-2023 Free Software Foundation, Inc.
+mm is written by Jörgen Hägg <jh@axis.com>
+
+mm 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 3 of the License, or
+(at your option) any later version.
+
+mm 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 this program.  If not, see <http://www.gnu.org/licenses/>.
+
+Please submit bug reports using groff's 'BUG-REPORT' file to
+http://savannah.gnu.org/bugs/?group=groff.
+
+Naming convention adapted from groff ms.
+Local names	module*name
+Extern names	module@name
+Env.var		environ:name
+Index		array!index
+..
+.if !\n(.g \
+.  ab groff mm macros require groff extensions; aborting
+.
+.if \n(.C \
+.  ab groff mm macros do not work in compatibility mode; aborting
+.
+.ds @mm m.tmac\"
+.
+.if (\n[.x]\n[.y] < 123) \{\
+.  ds mm-msg \*[@mm]: groff mm macros require groff 1.23 or later,\"
+.  as mm-msg " but found groff \n[.x].\n[.y]; aborting\"
+.  ab \*[mm-msg]
+.\}
+.
+.if d PH .nx
+.
+.mso devtag.tmac
+.\" ######## init #######
+.\"	create table of contents entry for headings of 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 before headings of level <= Ej
+.nr Ej 0
+.\"	Equation label adjust 0=left, 1=right
+.nr Eq 0
+.\"	Bullet string (for .BL)
+.ie n .ds BU \[bu]
+.el .ds BU \s-2\[bu]\s0
+.\"	Em dash string
+.ie n .ds EM " --
+.el .ds EM \[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
+.nr H8 0 1
+.nr H9 0 1
+.nr H10 0 1
+.nr H11 0 1
+.nr H12 0 1
+.nr H13 0 1
+.nr H14 0 1
+.\"	break after headings of level <= Hb
+.nr Hb 2
+.\"	center headings of level <= Hc
+.nr Hc 0
+.\"	header format
+.ds HF 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0
+.\"	put vertical space of \n[Hss] after headings of level <= Hs
+.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 0
+.\"	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 indentation in ens, used by .AL
+.nr Li 6
+.\"	put vertical space before list items of nesting level <= Ls
+.nr Ls 99 \" TODO: use \n[.R]; see Savannah #63587
+.\"	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
+.\"	Table of contents page numbering style
+.nr Oc 0
+.\"	Page-number, normally same as %.
+.nr P 0
+.\"	paragraph indentation in ens
+.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
+.\"	Reference page eject status
+.nr Rpe 0
+.\"	display indentation in ens
+.nr Si 5
+.\"
+.\" Current state of TOC, empty outside TC, inside
+.\" it will be set to co,fg,tb,ec,ex or ap.
+.ds Tcst
+.\"
+.ie t .ds Sm \v'-.4m'\s-3SM\s0\v'.4m'\"
+.el \{\
+.	ie c \[u2120] .ds Sm \[u2120]\"
+.	el            .ds Sm (SM)\"
+.\}
+.
+.ie t .ds Tm \v'-.4m'\s-3TM\s0\v'.4m'\"
+.el \{\
+.	ie c \[tm] .ds Tm \[tm]\"
+.	el         .ds Tm (TM)\"
+.\}
+.\"
+.\"---------------------------------------------
+.\"	Internal global variables
+.\"
+.\" This is for cover macro .MT
+.\" .ds @country
+.\"
+.nr @copy_type 0
+.if r C .nr @copy_type \n[C]
+.\" >0 if Subject/Date/From should be bold, roman otherwise
+.ie n .ds @sdf_font R
+.el .ds @sdf_font B
+.if \n[@copy_type]=4 \{\
+.	ls 2
+.	nr Pi 10
+.	nr Pt 1
+.\}
+.\"
+.\"
+.if r E \{\
+.	ie \n[E] .ds @sdf_font B
+.	el .ds @sdf_font R
+.\}
+.\"
+.\"	Set the type size and vertical spacing.  If given on the command
+.\"	line, these have already been converted to basic units.
+.if !r S .nr S 10
+.ie (\n[S] >= 1000) .ps \n[S]z/1000u
+.el                 .ps \n[S]
+.nr *vs-default \n[.ps]*120/100
+.if !r V .nr V \n[*vs-default]
+.ie (\n[V] >= 1000) .vs \n[V]p/1000u
+.el                 .vs \n[V]
+.rm *vs-default
+.\"
+.nr @ps \n[.ps]
+.nr @vs \n[.v]
+.if \n[D]>1 .tm @ps=\n[@ps], @vs=\n[@vs]
+.if \n[D]>3 .tm INIT: l:\n[.l] p:\n[.p] o:\n[.o]
+.\"
+.\"	page length
+.if r L \{\
+.	pl \n[L]u
+.\}
+.nr @pl \n[.p]
+.\"
+.\"	line length
+.ie r W \{\
+.	ll \n[W]u
+.\}
+.el .ll 6i
+.nr @ll \n[.l]
+.nr @cur-ll \n[@ll]
+.lt \n[@ll]u
+.\"
+.\"	page offset
+.ie r O .po \n[O]u
+.el \{\
+.	ie n .po .75i
+.	el .po .963i
+.\}
+.\"
+.nr @po \n[.o]
+.\"
+.\" 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
+.\"
+.\" Current appendix text
+.ds Apptext
+.\" Controls the space before and after static displays if defined.
+.\" Lsp is used otherwise
+.\" .nr Dsp 1v
+.\"
+.\" Add a dot after level one heading number if >0
+.nr H1dot 1
+.\"
+.\" put vertical space of \n[Hps2] before headings of level <= Hps
+.nr Hps 1
+.\"
+.\" amount of vertical space before headings when level > Hps
+.nr Hps1 0.5v
+.if n .nr Hps1 1v
+.\"
+.\" amount of vertical space before headings when level <= Hps
+.nr Hps2 1v
+.if n .nr Hps2 2v
+.\"
+.\" Hss is the number of lines (Lsp) after the header.
+.nr Hss 1
+.\"
+.\" H1txt will be updated by .H and .HU, containing the heading text.
+.\" Will also be updated in table of contents & friends
+.\"
+.ds H1txt
+.\"
+.\" header text for the index
+.ds Index INDEX
+.\" command to sort the index
+.ds Indcmd sort
+.\"
+.\" 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
+.\" Flag for space between mark and prefix 1==space, 0==no space
+.\" Can also be controlled by using '.LI mark 2'
+.nr Limsp 1
+.\"
+.\" 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
+.\"
+.\" Letter section
+.\" Formal closing (.FC)
+.ds Letfc Yours very truly,
+.\"
+.\" Approval line
+.ds Letapp APPROVED:
+.\" Approval date-string
+.ds Letdate Date
+.\"
+.ds LetCN CONFIDENTIAL\"		Confidential default
+.ds LetSA To Whom It May Concern:\"	Salutation default
+.ds LetAT ATTENTION:\"			Attention string
+.ds LetSJ SUBJECT:\"			Subject string
+.ds LetRN In reference to:\"		Reference string
+.\"
+.\" Copy to (.NS)
+.ds Letnsdef 0
+.ds Letns!copy Copy \" space!
+.ds Letns!to " to
+.ds Letns!0 Copy to
+.ds Letns!1 Copy (with att.\&) to
+.ds Letns!2 Copy (without att.\&) to
+.ds Letns!3 Att.
+.ds Letns!4 Atts.
+.ds Letns!5 Enc.
+.ds Letns!6 Encs.
+.ds Letns!7 Under separate cover
+.ds Letns!8 Letter to
+.ds Letns!9 Memorandum to
+.ds Letns!10 Copy (with atts.\&) to
+.ds Letns!11 Copy (without atts.\&) to
+.ds Letns!12 Abstract Only to
+.ds Letns!13 Complete Memorandum to
+.ds Letns!14 CC:
+.\"
+.\" Text printed below the footer. Controlled by @copy_type (C).
+.ds Pg_type!0
+.ds Pg_type!1 OFFICIAL FILE COPY
+.ds Pg_type!2 DATE FILE COPY
+.ds Pg_type!3 D\ R\ A\ F\ T
+.ds Pg_type!4 D\ R\ A\ F\ T
+.\" Max lines in return address
+.nr Letwam 14
+.\"--------------------------
+.\"	test for mgm macro. This can be used if the text must test
+.\"	what macros is used.
+.nr .mgm 1
+.\"
+.\" Due to security problems with groff I had to rewrite
+.\" the reference system. It's not as elegant as before, you
+.\" have to run groff with '-z -rRef=1' and put stderr into the filename
+.\" for .INITR
+.\"
+.\" Output references to stderr if non-zero
+.ie !r Ref \{\
+.	nr Ref 0
+.\}
+.el .warn 0
+.\"
+.\"---------------------------------------------
+.\" set local variables.
+.ie d @country .msoquiet mm/\*[@country]_locale
+.el .msoquiet mm/locale
+.\"---------------------------------------------
+.\" ####### module init ######
+.\"	reset all things
+.\" XXX: Resets .cu and .ul but _not_ .ce or .rj.
+.de init@reset
+.ie \\n[misc@adjust] 'ad
+.el 'na
+.ie \\n[Hy] 'hy 14
+.el 'nh
+'in 0
+'ti 0
+.ps \\n[@ps]u
+.vs \\n[@vs]u
+..
+.de @warning
+.tm \\*[@mm]:\\n[.F]:\\n[.c]: warning: \\$*
+.if \\n[D] .backtrace
+..
+.\" All errors are fatal.
+.de @error
+.tm \\*[@mm]:\\n[.F]:\\n[.c]: error: \\$*
+.if \\n[D] .backtrace
+.ab
+..
+.
+.de @abort
+.tm \\*[@mm]:\\n[.F]:\\n[.c]: internal error: \\$*
+.backtrace
+.ab
+..
+.de misc@toupper
+.tr aAbBcCdDeEfFgGhHiIjJkKlLmMnNoOpPqQrRsStTuUvVwWxXyYzZ
+.br
+\\$1
+.tr aabbccddeeffgghhiijjkkllmmnnooppqqrrssttuuvvwwxxyyzz
+.br
+..
+.\" ####### 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*indentation-eligible 1		\" indent following P if Pt=2
+.nr par@suppress-indentation 0
+.nr hd*last-pos -1
+.nr hd*last-hsize -1
+.nr par*number 0 1
+.af par*number 01
+.nr par*number2 0 1
+.af par*number2 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
+.if \\n[.$] \{\
+.	ie !\B'\\$1' \{\
+.		@warning \\$0: expected numeric argument, got '\\$1'
+.		shift
+.	\}
+.	el .if (\\$1 > 1) \
+.		@warning \\$0: ignoring unsupported paragraph type \
+'\\$1'
+.\}
+.\"	skip P if previous heading
+.if \\n[D]>2 \{\
+.	tm Paragraph nl=\\n[nl], last=\\n[hd*last-pos]
+.	tm Paragraph .k=\\n[.k], hsize=\\n[hd*last-hsize]
+.\}
+.nr par*indentation-eligible 1-\\n[par@suppress-indentation]
+.par@doit \\$*
+.if \\n[Np] \\n[H1].\\n+[par*number]\ \ \c
+..
+.\"------------
+.de nP
+.if \\n[D]>2 \{\
+.	tm Paragraph nl=\\n[nl], last=\\n[hd*last-pos]
+.	tm Paragraph .k=\\n[.k], hsize=\\n[hd*last-hsize]
+.\}
+.\" A first-line indentation is meaningless for a numbered paragraph.
+.nr par*indentation-eligible 0
+.par@doit
+\\n[H2].\\n+[par*number2]\ \ \c
+..
+.\"------------
+.de par@doit
+.SP (u;\\n[Ps]*\\n[Lsp])
+.nr par*do-indent 0
+.ie \\n[.$] \{\
+.	if \\$1=1 .nr par*do-indent 1
+.\}
+.el \{\
+.	if \\n[Pt]=1 .nr par*do-indent 1
+.	if (\\n[Pt]=2)&\\n[par*indentation-eligible] \
+.		nr par*do-indent 1
+.\}
+.if \\n[par*do-indent] .ti +\\n[Pi]n
+.rr par*do-indent
+.nr par@suppress-indentation 0
+..
+.\" ####### 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 ###############
+.\" XXX: This register value is meaningless.
+.\"   .ad b
+.\"   .nr misc@adjust \n[.j]
+.\" might be better...
+.nr misc@adjust 14
+.de SA
+.if \\n[.$] \{\
+.	if ((\\$1 < 0) : (\\$1 > 1)) .@error \\$0: invalid argument \
+'\\$1'
+.\" XXX: ...then...
+.\"   .ad l
+.\"   .nr misc@adjust \\n[.j]
+.	nr misc@adjust 0\\$1
+.\}
+.\" XXX: ...and finally an unconditional.
+.\"   .ad \\n[.j]
+.ie \\n[misc@adjust] 'ad
+.el 'na
+..
+.\"-------------
+.\" switch environment, keep all important settings.
+.de misc@ev-keep
+.nr misc*ll \\n[.l]
+.ds misc*fam \\n[.fam]
+.ev \\$1
+.ll \\n[misc*ll]u
+.lt \\n[misc*ll]u
+.fam \\*[misc*fam]
+..
+.\"-------------
+.\" .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 .@abort 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 0\\*[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 \\n[D]>2 .tm PGFORM: \\$*
+.if ''\\$4' .br
+.if \\n[D]>3 .tm PGFORM: IN l:\\n[.l] p:\\n[.p] o:\\n[.o]
+.ie !''\\$1' \{\
+.	ll \\$1
+.	nr @ll \\n[.l]
+.	nr @cur-ll \\n[@ll]
+.	lt \\n[@ll]u
+.\}
+.el \{\
+.	ll \\n[@ll]u
+.	lt \\n[@ll]u
+.\}
+.\"
+.ie !''\\$2' \{\
+.	pl \\$2
+.	nr @pl \\n[.p]
+.\}
+.el .pl \\n[@pl]u
+.\"
+.ie !''\\$3' \{\
+.	po \\$3
+.	nr @po \\n[.o]
+.\}
+.el .po \\n[@po]u
+.if \\n[D]>3 .tm PGFORM: OUT l:\\n[.l] p:\\n[.p] o:\\n[.o]
+.if \\n[D]>2 .tm PGFORM: ll=\\n[@ll], pl=\\n[@pl], po=\\n[@po]
+'in 0
+.pg@move-trap
+.if \\n[D]>2 \{\
+.	tm Traps:
+.	ptr
+.\}
+..
+.\"-------------
+.\" .MOVE y [[x] linelength]
+.\" move to line y, indent to x
+.de MOVE
+.if !\\n[.$] \{\
+.	@warning \\$0: ignoring; no arguments specified
+.	return
+.\}
+.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[.$] \{\
+.	@warning \\$0: ignoring; no arguments specified
+.	return
+.\}
+.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' .ps \\n[misc*S-ps]u
+.	el \{\
+.		ie '\\*[misc*a]'D' .ps \\n[S]
+.		el .ps \\*[misc*a]
+.		if \\n[D]>2 .tm S: .ps \\*[misc*a]
+.	\}
+.\}
+.\"
+.\" set vertical spacing
+.if !'\\*[misc*b]'C' \{\
+.	ie '\\*[misc*b]'P' .vs \\n[misc*S-vs]u
+.	el \{\
+.		ie '\\*[misc*b]'D' .vs \\n[.ps]s+2p
+.		el .vs \\*[misc*b]
+.		if \\n[D]>2 .tm S: .vs \\*[misc*b]
+.	\}
+.\}
+.nr @ps \\n[.ps]
+.nr @psu \\n[.ps]s
+.nr @vs \\n[.v]
+.nr @vsp \\n[.v]u/1p
+.nr @res 1i
+.\"
+.if \\n[D]>1 \{\
+.	tmc "S(\\$*): ma:\\*[misc*a], mb:\\*[misc*b]
+.	tm1 " => ps:\\n[.s]p (\\n[@psu]u), vs:\\n[@vsp]p (\\n[@vs]u) (res:\\n[@res])
+.\}
+.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]
+.pg@move-trap
+..
+.\"------------
+.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\t
+.br
+.di
+.if !''\\$3' \{\
+.	di misc*rd2
+.	ds \\$3 "\\*[misc*rd]
+.	br
+.	di
+.\}
+.if !''\\$2' .rn misc*rd \\$2
+.rm misc*rd misc*rd2
+..
+.\"------------
+.\" VERBON [flag [type-size [font]]]
+.\"	flag
+.\"	bit	function
+.\"	0	escape character disablement
+.\"	1	add an empty line before verbose text
+.\"	2	add an empty line after verbose text
+.\"	3	number output lines using Verbnm string for .nm args
+.\"	4	indent text by amount in register 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
+..
+.\" Wrapper to cancel the side effect of .tag + .br generating
+.\" unwanted vertical space.
+.de misc@tag
+.\" This macro is currently used solely to give information to the
+.\" HTML postprocessor.  If for PostScript or PDF output macro .H
+.\" had been followed by .DS both .H post-space and .DS pre-space
+.\" had been output because of this macro.  So it is now enabled
+.\" only when postprocessor tags are required.
+.if '\*[.T]'html' \{\
+.\" retain temporary indentation and horizontal position
+.if !(\\n[.in]-\\n[.i]=0) .nr misc*ti \\n[.in]
+.nr misc*.k \\n[.k]
+.vpt 0
+.DEVTAG-\\$1 \\$2
+.br
+.if r misc*ti \{\
+.	ti \\n[misc*ti]u
+.	rr misc*ti
+.	sp -1
+.\}
+.sp -1
+\h'\\n[misc*.k]u'\c
+.rr misc*.k
+.vpt 1
+.\}
+..
+.\" ######## module pict #################
+.nr pict*width 0
+.nr pict*height 0
+.nr pict*mode 0
+.nr pict*ind 0
+.nr pict*id 0 1
+.\" I assume that the number variable pict*id is the same
+.\" between two runs.
+.de PIC
+.br
+.nr pict*ind 0
+.nr pict*box 0
+.while \\n[.$]>0 \{\
+.	if '-B'\\$1' \{\
+.		nr pict*box 1
+.		shift
+.		continue
+.	\}
+.	if '-L'\\$1' \{\
+.		nr pict*mode 0
+.		shift
+.		continue
+.	\}
+.	if '-R'\\$1' \{\
+.		nr pict*mode 1
+.		shift
+.		continue
+.	\}
+.	if '-I'\\$1' \{\
+.		nr pict*ind (m;\\$2)
+.		nr pict*mode 2
+.		shift 2
+.		continue
+.	\}
+.	if '-C'\\$1' \{\
+.		nr pict*mode 3
+.		shift
+.		continue
+.	\}
+.	ds pict*f \\$1
+.	nr pict*id +1
+.	shift
+.	if \\n[.$]>0 \{\
+.		if !\B'\\$1' .@error \\$0: width parameter is not \
+numeric; got '\\$1'
+.		nr pict*width (i;\\$1)
+.		shift
+.	\}
+.	if \\n[.$]>0 \{\
+.		if !\B'\\$1' .@error \\$0: height parameter is not \
+numeric; got '\\$1'
+.		nr pict*height (i;\\$1)
+.		shift
+.	\}
+.\}
+.\" let mmroff know the filename and id
+.if \\n[Ref]>0 \{\
+.	tm .\\\\" PIC id \\n[pict*id]
+.	tm .\\\\" PIC file \\*[pict*f]
+.\}
+.\" these are defined by mmroff in the second pass
+.if d pict*file!\\n[pict*id] \{\
+.	ds pict*f \\*[pict*file!\\n[pict*id]]
+.	nr pict*llx \\n[pict*llx!\\n[pict*id]]
+.	nr pict*lly \\n[pict*lly!\\n[pict*id]]
+.	nr pict*urx \\n[pict*urx!\\n[pict*id]]
+.	nr pict*ury \\n[pict*ury!\\n[pict*id]]
+.	\"
+.	nr pict*w (p;\\n[pict*urx]-\\n[pict*llx])
+.	if \\n[pict*w]<0 .nr pict*w 0-\\n[pict*w]
+.	nr pict*h (p;\\n[pict*ury]-\\n[pict*lly])
+.	if \\n[pict*h]<0 .nr pict*h 0-\\n[pict*h]
+.	if \\n[pict*width]>0 \{\
+.		nr pict*rs (u;1000*\\n[pict*width]/\\n[pict*w])
+.		nr pict*w (u;\\n[pict*w]*\\n[pict*rs]/1000)
+.		nr pict*h (u;\\n[pict*h]*\\n[pict*rs]/1000)
+.	\}
+.	if \\n[pict*height]>0 \{\
+.		nr pict*rs (u;1000*\\n[pict*height]/\\n[pict*h])
+.		nr pict*h (u;\\n[pict*h]*\\n[pict*rs]/1000)
+.	\}
+.	if '0'\\n[pict*mode]' \{\
+.		nr pict*in \\n[.i]u
+.	\}
+.	if '1'\\n[pict*mode]' \{\
+.		nr pict*in (u;\\n[.l]-\\n[.i]-\\n[pict*w])
+.	\}
+.	if '2'\\n[pict*mode]' \{\
+.		nr pict*in \\n[pict*ind]u
+.	\}
+.	if '3'\\n[pict*mode]' \{\
+.		nr pict*in (u;(\\n[.l]-\\n[.i]-\\n[pict*w])/2)
+.	\}
+.	ds pict*h "
+.	if \\n[pict*h]>0 .ds pict*h \\n[pict*h]
+.	\"
+.	ne \\n[pict*h]u-1v
+.	\"
+.	\" these lines are copied and modified from pspic.tmac.
+.	\" Originally written by James Clark
+.	br
+.	ie \\n[pict*box]>0 \{\
+\v'-1v'\h'\\n[pict*in]u'\
+\Z'\D'p 0 \\n[pict*h]u \\n[pict*w]u 0 0 -\\n[pict*h]u''\
+\v'\\n[pict*h]u'\X'ps: import \\*[pict*f] \
+\\n[pict*llx] \\n[pict*lly] \
+\\n[pict*urx] \\n[pict*ury] \
+\\n[pict*w] \\n[pict*h]'
+.\}
+.	el \{\
+\v'-1v'\h'\\n[pict*in]u'\
+\X'ps: invis'\
+\Z'\D'p 0 \\n[pict*h]u \\n[pict*w]u 0 0 -\\n[pict*h]u''\
+\X'ps: endinvis'\
+\v'\\n[pict*h]u'\X'ps: import \\*[pict*f] \
+\\n[pict*llx] \\n[pict*lly] \
+\\n[pict*urx] \\n[pict*ury] \
+\\n[pict*w] \\n[pict*h]'
+.	\}
+.	br
+.	sp \\n[pict*h]u-1v
+.\}
+..
+.\" external picture
+.\" -L	left align
+.de EPIC
+.nr pict*adj 0		\" centered
+.if '\\$1'-L' \{\
+.	shift
+.	nr pict*adj 1
+.\}
+.if \\n[.$]<2 \{\
+.	@warning \\$0: ignoring; expected width and height arguments
+.	return
+.\}
+.\" Permit a document to start with EPIC.
+.if \\n[nl]<0 \&
+.ie \B'\\$1' .nr pict*w \\$1
+.el          .@error \\$0: width parameter is not numeric; got '\\$1'
+.ie \B'\\$2' .nr pict*h \\$2
+.el          .@error \\$0: height parameter is not numeric; got '\\$2'
+.\" XXX: This is kind of lame.  It's also not localized.
+.ds pict*name External picture\"
+.if !''\\$3' .ds pict*name " \\$3\"
+.ne \\n[pict*h]u
+.sp \\n[pict*h]u-1v
+.nr pict*ind 0
+.if !\\n[pict*adj] .nr pict*ind (u;(\\n[.l]-\\n[.i]-\\n[pict*w])/2)
+.mk
+.in +\\n[pict*ind]u
+\D'l \\n[pict*w]u 0'\
+\D'l 0 -\\n[pict*h]u'\
+\D'l -\\n[pict*w]u 0'\
+\D'l 0 \\n[pict*h]u'\
+\v'-(u;\\n[pict*h]/2)'\
+\h'(u;(\\n[pict*w]-\w'\\*[pict*name]'/2))'\\*[pict*name]
+.in
+.rt
+.sp 1v
+..
+.\" ######## 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 @disable
+.ds @end \" empty
+.while \\n[.$] \{\
+.	rm \\$1 \" in case it's aliased
+.	de \\$1 @end
+.		@warning \\$1: ignoring; unavailable after \\*[@cover]
+.	@end
+.	shift
+.\}
+..
+.rm @end
+.
+.de CS
+.@warning \\$0: not implemented except with ".MT 4"
+..
+.de OK
+.@warning \\$0: not implemented
+..
+.de PM
+.@warning \\$0: 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 variable index name val1 val2 ...
+.de hd@split
+.\" TODO: Verify that this isn't reachable due to ordinary user error;
+.\" if it is, make it an @error.
+.if \\$2>(\\n[.$]-3) .@abort \\$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
+.df@print-float 2\"	$$$ could be wrong...
+.\" terminate all lists
+.LC
+.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]<15 .if \\n[hd*level]<\\n[hd*i] .nr H\\n[hd*i] 0 1
+.\"
+.\" save last text for use in TP
+.if \\n[hd*level]=1 .ds H1txt \\$2\\$3
+.\"
+.\" This is a little fix to be able to get correct H1 heading number
+.\" in page headers. Special attention was needed when other formats are used.
+.ie !''\\g[H1]' \{\
+.	ds hd*format \\g[H1]
+.	af H1 0
+.	nr H1h \\n[H1] 1
+.	af H1 \\*[hd*format]
+.\}
+.el .nr H1h \\n[H1] 1
+.if \\n[hd*level]=1 .nr H1h +1
+.\"
+.\" Break page before headings of level <= Ej.
+.if ((\\n[hd*level]<=\\n[Ej])&(\\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)&(\\n[Sectp]>0) .hd@set-page 1
+.\"
+.\" 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]<15 .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]].
+.\"
+.\" special case, no dot after level one heading if not H1dot true
+.if (\\n[hd*level]=1)&(\\n[H1dot]=0) .ds hd*mark \\n[H1]
+.\"
+.ds hd@mark-trimmed \\*[hd*mark]\" mark without spaces, for references
+.as hd*mark \ \ \"	add spaces between heading mark and title
+.if !\\n[hd*arg1] .ds hd*mark \" empty; no mark for unnumbered heading
+.\"
+.if \\n[D]>1 .tm At header \\*[hd*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 \" empty
+.nr hd*need 2v				\" hd*need = header need 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 (u;\\n[Hps2])
+.el .SP (u;\\n[Hps1])
+.\"
+.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
+.if \\n[hd*htype] .na \"	do not adjust heading if not run-in
+.if \\n[hd*htype]<2 .nr hd*need +\\n[Lsp]u \"	add some extra space
+.ne \\n[hd*need]u+\\n[dn]u+.5p-1v \"	space needed for a heading
+.\"
+.\" 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"
+.\" HTML: mark beginning of heading
+.misc@tag NH \\n[hd*level]
+.\"--------------------------------------
+.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]u
+.vs \\n[@vs]u
+.\"
+.\" table of contents
+.if (\\n[hd*level]<=\\n[Cl])&\w@\\$2@ .toc@entry \\n[hd*level] "\\$2"
+.\"	set adjust to previous value
+.SA
+.\"	do break or space
+.if \\n[hd*htype] .br
+.if \\n[hd*htype]>1 .SP (u;\\n[Lsp]*\\n[Hss])
+.ie \\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@suppress-indentation 1
+.\}
+.\" We're setting a run-in heading; the next paragraph is normal.
+.el .nr par@suppress-indentation 0
+.\"
+.\"	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-hsize \\n[.k]
+.\" HTML: end of heading
+.misc@tag EO-H
+..
+.\"--------
+.de HM
+.nr hd*i 0 1
+.while \\n+[hd*i]<15 .af H\\n[hd*i] \\$[\\n[hd*i]] 1
+..
+.\"----------------------
+.\" set page-nr, called from header
+.\"
+.de hd@set-page
+.\"
+.ie \\n[.$]>0 .nr P \\$1
+.el .nr P +1
+.\" 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 ''- \\n[P] -''
+.ds pg*footer
+.if \n[N]=4 .ds pg*header ''''
+.if (\n[N]=3):(\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 5v\"			 1v+footer+even/odd footer+2v
+.nr pg*header-size 7v\"			 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]u+\\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]u+\\n[pg*extra-footer-size]u) = \\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]u+\\n[pg*extra-footer-size]u)
+.if \\n[D]>2 .tm pg*last-pos \\n[@pl]u-(\\n[pg*block-size]u+\\n[pg*foot-margin]u+\\n[pg*footer-size]u+\\n[pg*extra-footer-size]u) = \\n[pg*last-pos]
+..
+.de pg@enable-trap
+.\" Disable in HTML mode
+.if !'\*[.T]'html' \{\
+.wh \\n[pg*foot-trap]u pg@footer
+.if \\n[D]>2 .tm pg@enable-trap .t=\\n[.t] nl=\\n[nl]
+.if \\n[D]>2 .ptr
+.\}
+..
+.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, TP and EOP.
+.als }t pg*header
+.als }e pg*even-header
+.als }o pg*odd-header
+.als TPh pg*header
+.als TPeh pg*even-header
+.als TPoh pg*odd-header
+.\"
+.als }b pg*footer
+.als }f pg*even-footer
+.als }p pg*odd-footer
+.als EOPf pg*footer
+.als EOPef pg*even-footer
+.als EOPof pg*odd-footer
+.\"------------------------------------------------------------
+.\" HEADER
+.de pg@header
+.\" Disable in HTML mode
+.if !'\*[.T]'html' \{\
+.if \\n[D]>1 .tm Page# \\n[%] (\\n[.F]:\\n[c.])
+.	if (u;(\\n[pg*header-size] + \\n[pg*extra-header-size] \
+       + \\n[pg*footer-size] + \\n[pg*extra-footer-size] \
+       + \\n[.V]) >= \\n[.p]) \{\
+.		pl \\n[nl]u
+.		@error insufficient page length; aborting
+.	\}
+.\}
+.\" check if Hy has been changed
+.ie \\n[Hy] 'hy 14
+.el 'nh
+.if \\n[Idxf] \{\
+.tl '<pagenr\ \\n[%]>'''
+.\}
+.\" assign current page-number to P
+.hd@set-page
+.\" reset spacing
+.nr line*lp\\n[.z] 0
+.nr line*ac\\n[.z] 0
+.\"
+.\" suppress pageheader if pagenumber == 1 and N == [124]
+.if \\n[pg*top-enabled] \{\
+.\"	must be fixed!!
+.\".	pg@disable-top-trap
+.	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 let@header .let@header
+.	el \{\
+.		ie d TP .TP
+.		el \{\
+'			sp 3
+.			ds hd*format \\g[P]
+.			af P 0
+.			ie ((\\n[P]=1)&((\\n[N]=1):(\\n[N]=2))) .sp
+.			el .tl \\*[pg*header]
+.			af P \\*[hd*format]
+.			ie o .tl \\*[pg*odd-header]
+.			el .tl \\*[pg*even-header]
+'			sp 2
+.		\}
+.	\}
+.	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
+.	\" reset NCOL pointer at each new page.
+.	nr pg*last-ncol 0
+.	\" set multicolumn
+.	\"
+.	pg@set-po
+.	\" print floating displays
+.	df@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 occurred
+.\}
+..
+.\"---------------------------------------------------------
+.\" FOOTER
+.de pg@footer
+.ec
+.if \\n[D]>2 .tm Footer# \\n[%] (\\n[.F]:\\n[c.]) nl=\\n[nl]
+.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, nl=\\n[nl]
+.\" 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
+.if \\n[D]>3 .tm print-footer nl=\\n[nl]
+.\" 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
+.vpt 0
+.\" user defined end-of-page macro
+.ie d EOP .EOP
+.el \{\
+.	ie o .tl \\*[pg*odd-footer]
+.	el .tl \\*[pg*even-footer]
+.	ds hd*format \\g[P]
+.	af P 0
+.	ie (\\n[P]=1)&(\\n[N]=1) .tl \\*[pg*header]
+.	el .tl \\*[pg*footer]
+.	af P \\*[hd*format]
+.	tl ''\\*[Pg_type!\\n[@copy_type]]''
+.\}
+.vpt 1
+.ev
+.\" be sure that floating displays and footnotes will be
+.\" printed at the end of the document.
+.ie (\\n[df*fnr]>=\\n[df*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]u
+.	vs \\n[@vs]u
+.\}
+.el \{\
+.	ps \\n[pg*ps]u
+.	vs \\n[pg*vs]u
+.\}
+.lt \\n[@ll]u
+.ll \\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 ----------------
+.df@eot-print
+.ref@eot-print
+..
+.\"-------------------------
+.\" set top and bottom margins
+.\" -T	sets pg*footer-size and pg*header-size instead
+.de VM
+.ie '\\$1'-T' \{\
+.	shift
+.	if \\n[.$]=0 \{\
+.		nr pg*footer-size 5v
+.		nr pg*header-size 7v
+.	\}
+.	if \\n[.$]>0 .nr pg*header-size (v;\\$1)
+.	if \\n[.$]>1 .nr pg*footer-size (v;\\$2)
+.\}
+.el \{\
+.	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
+.if \\n[pg*cols-per-page]<=1 \{\
+.	@warning \\$0: multicolumn mode not active
+.	return
+.\}
+.br
+.nr pg*cols-per-page 1
+.nr pg*column-sep 0
+.nr pg*column-size \\n[@ll]
+.nr pg*ncol-i \\n[pg*cur-column]\"	temp variable
+.nr pg*cur-column 0 1
+.nr pg*cur-po \\n[@po]u
+.PGFORM
+.ie !'\\$1'1' .SK
+.el \{\
+.	if d ft*div \{\
+.		if \\n[pg*ncol-i]>0 \{\
+.			@warning \\$0: returning to single-column \
+layout with suppressed page break and footnote pending; output may be \
+messy
+.		\}
+.	\}
+.	if \\n[pg*last-ncol]>0 \{\
+.		sp |\\n[pg*last-ncol]u
+.		nr pg*last-ncol 0
+.	\}
+.\}
+..
+.de 2C
+.if \\n[pg*cols-per-page]>1 .@error \\$0: multicolumn mode already \
+active
+.br
+.nr pg*head-mark \\n[nl]u
+.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
+.if \\n[pg*cols-per-page]>1 .@error \\$0: multicolumn mode already \
+active
+.br
+.nr pg*head-mark \\n[nl]u
+.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)
+.\"
+.\" calculate the number of columns/page
+.nr pg*cols-per-page 0 \" temporarily invalid!
+.nr pg*i \\n[pg*column-size]
+.while \\n[pg*i]<=\\n[.l] \{\
+.	nr pg*cols-per-page +1
+.	nr pg*i \\n[pg*i]+\\n[pg*column-sep]+\\n[pg*column-size]
+.\}
+.if \\n[pg*cols-per-page]<0 .@abort \\n[pg*cols-per-page] columns in \
+page
+.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
+.if \\n[nl]>\\n[pg*last-ncol] .nr pg*last-ncol \\n[nl]
+.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]u
+.vs \\n[@vs]u
+.fam \\*[pg*mul-fam]
+.ft \\n[pg*mul-font]
+.fi
+.hy 6
+.di pg*mul-div
+.MULN
+..
+.\"-----------
+.de MULN
+.if \\n[pg*mul-x]>=\\n[pg*mul-max-col] .@abort undefined column width \
+(pg*mul-x=\\n[pg*mul-x >= pg*mul-max-col=\\n[pg*mul-max])
+.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
+.aln :p ft*nr
+.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. $$$)
+.nr ft*exist 0\"	not zero if there are any footnotes to be printed
+.nr ft*clear-at-header 0\" >0 if footnotes should be reset at first level head.
+.\"
+.ie t .ds F \v'-.4m'\s-3\\n+[ft*nr]\s0\v'.4m'
+.el   .ds F [\\n+[ft*nr]]
+.\"
+.\"-----------------
+.\" init footnote environment
+.de ft@init
+.\" indentcontrol not implemented $$$
+.\" label justification not implemented $$$
+'in 0
+'fi
+.ie \\n[ft*adjust] 'ad
+.el 'na
+.ie \\n[ft*hyphen] 'hy 6
+.el 'hy 0
+.ll \\n[@cur-ll]u
+.lt \\n[@cur-ll]u
+.ps (p;\\n[@ps]u-2)
+.vs (p;\\n[@vs]u-1)
+..
+.\"-----------------
+.\" set footnote format
+.\" no support for two column processing (yet). $$$
+.de FD
+.if \\n[.$]=0 .@error \\$0: expected 1 or 2 arguments, got \\n[.$]
+.ie \\n[.$]=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)*6
+.	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 r ft*df-save \{\
+.			nr Df \\n[ft*df-save]
+.			rm ft*df-save
+.		\}
+.	\}
+.	if '\\*[ft*x]'WD' \{\
+.		nr ds*wide 1
+.		nr ft*df-save \\n[Df]
+.		nr Df 4
+.	\}
+.	if '\\*[ft*x]'-FB' .nr ds*float-break 0
+.	if '\\*[ft*x]'FB' .nr ds*float-break 1
+.	if \\n[D]>1 .tm WC WF=\\n[ft*wide] WD=\\n[ds*wide]
+.\}
+..
+.\"-----------------
+.\" begin footnote
+.\" Change environment, switch to diversion and print the foot-note mark.
+.de FS
+.if \\n[ft*busy] .@error \\$0: cannot nest; missing FE?
+.nr ft*busy 1
+.ev ft*ev
+.ft@init
+.if !\\n[ft*wide] .pg@set-po
+.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
+.\" End the diversion, back to previous environment, and adjust
+.\" the trap to the new foot-note size.
+.de FE
+.nr ft*busy 0
+.br
+.di
+'in 0
+'nf
+.if \\n[@pl]u<\\n[dn]u .@error \\$0: footnote bigger than page area
+.if !d ft*div .nr dn +1v
+.if \\n[D]>3 .tm FE: foot-trap=\\n[pg*foot-trap] .d=\\n[.d] dn=\\n[dn]
+.ie (\\n[pg*foot-trap]u-\\n[.d]u)<\\n[dn]u \{\
+.	da ft*next-div
+.	ft*tmp-div
+.	br
+.	di
+.\}
+.el \{\
+.	if !d ft*div .ft@init-footnote
+.	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 df*fnr 0 1\"	floating display counter
+.nr df*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 df*float 0\"	>0 if previous display was floating
+.\"--------------------------------------------
+.de DE
+.ie \\n[df*float] .df@end \\$@
+.el .ds@end \\$@
+..
+.\"--------------------------------------------
+.\" floating display start
+.\" nested DF/DE is not allowed.
+.de DF
+.if \\n[df*float] .@error \\$0: cannot nest floating keeps; use DS \
+within DF/DE
+.ds ds@macro \\$0
+.ds@set-format \\$@
+.\"
+.nr df*old-ll \\n[.l]
+.nr ds*ftmp \\n[.f]
+.misc@ev-keep df*ev
+.ft \\n[ds*ftmp]
+.\"
+.init@reset
+.di df*div
+'in 0
+.\"
+.ds@set-new-ev \\n[df*old-ll]
+.SP \\n[Lsp]u
+.nr df*float 1
+..
+.\"--------------------------------------------
+.de df@end
+.br
+.SP \\n[Lsp]u
+.di
+.nr df*width!\\n+[df*fnr] \\n[dl]
+.nr df*height!\\n[df*fnr] \\n[dn]
+.nr df*wide!\\n[df*fnr] \\n[ds*wide]
+.nr df*format!\\n[df*fnr] \\n[ds*format]
+.ev
+.if \\n[D]>2 .tm DF:fnr=\\n[df*fnr] w=\\n[dl] h=\\n[dn] wide=\\n[ds*wide] \
+ form=\\n[ds*format]
+.\"	move div to the floating display list
+.rn df*div df*fdiv!\\n[df*fnr]
+.\"
+.nr par@suppress-indentation 1	\" no indentation after displays
+.\" print float if queue is empty and the display fits into
+.\" the current page
+.if ((\\n[df*fnr]>=\\n[df*o-fnr])&(\\n[dn]<\\n[.t])) .df@print-float 1
+.nr df*float 0
+..
+.\"-------------
+.\" called by end-of-text
+.de df@eot-print
+.br
+.if \\n[df*o-fnr]<=\\n[df*fnr] \{\
+.	if \\n[D]>2 .tm Print remaining displays.
+.\" still some floats left, make non-empty environment
+.	misc@ev-keep ne
+.	init@reset
+\c
+.	df@print-float 3
+.	ev
+.\}
+..
+.\"---------------
+.\" print according to Df and De.
+.\" .df@print-float type
+.\"	type	called from
+.\"	1	.DE
+.\"	2	end of section
+.\"	3	end of document
+.\"	4	beginning of new page
+.\"
+.de df@print-float
+.if \\n[Df]>5 .@abort invalid float type: 5 < Df (\\n[Df])
+.if !\\n[ds*float-busy] \{\
+.	nr ds*float-busy 1
+.\" at .DE
+.	if \\n[D]>3 \{\
+.		tmc print-float: .t=\\n[.t]
+.		if r df*height!\\n[df*o-fnr] \
+.			tmc , h=\\n[df*height!\\n[df*o-fnr]]
+.		tm
+.	\}
+.	\" Df = 1 or 5
+.	if (\\$1=1)&((\\n[Df]=1):(\\n[Df]=5)) \{\
+.		if \\n[.t]>\\n[df*height!\\n[df*o-fnr]] \{\
+.			\" Print only new displays.
+.			if \\n[df*o-fnr]=\\n[df*fnr] \{\
+.				br
+.				ds@print-one-float
+.			\}
+.		\}
+.	\}
+.	\" Df = 3
+.	if (\\$1=1)&(\\n[Df]=3) \{\
+.		if \\n[.t]>\\n[df*height!\\n[df*o-fnr]] \{\
+.			br
+.			ds@print-one-float
+.		\}
+.	\}
+.\" print all if Df<2 and end of section
+.	if (\\$1=2)&(\\n[Sectp]>0)&(\\n[Df]<2) \{\
+.		br
+.		ds@print-all-floats
+.	\}
+.\" print all if end of document. Where should they go instead?
+.	if \\$1=3 \{\
+.		br
+.		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
+.\}
+..
+.\"---------------
+.\" DF out
+.\" print a floating diversion
+.de ds@output-float
+.nr df*old-ll \\n[.l]
+.nr df*old-in \\n[.i]
+.ev ds*fev
+.nf
+.nr df*i \\n[df*o-fnr]
+.nr df*f \\n[df*format!\\n[df*i]]
+.\"
+.in \\n[df*old-in]u
+.if \\n[df*f]=1 'in +\\n[Si]n
+.if \\n[df*f]>=2 'in 0
+.if \\n[df*f]=2 'ce 9999
+.if \\n[df*f]=3 'in (u;(\\n[.l]-\\n[df*width!\\n[df*i]])/2)
+.if \\n[df*f]=4 'rj 9999
+.if \\n[df*f]=5 'in (u;\\n[.l]-\\n[df*width!\\n[df*i]])
+.\"
+.\"
+.df*fdiv!\\n[df*o-fnr]
+.\"
+.if \\n[df*f]=2 'ce 0
+.if \\n[df*f]=4 'rj 0
+.ev
+.rm df*fdiv!\\n[df*i]
+.rm df*height!\\n[df*i]
+.rm df*format!\\n[df*i]
+.if \\n[df*wide!\\n[df*i]] .nr pg*head-mark \\n[nl]u
+.nr df*o-fnr +1
+..
+.\"---------------
+.\" print one floating display if there is one.
+.de ds@print-one-float
+.if \\n[df*o-fnr]<=\\n[df*fnr] \{\
+.	if \\n[D]>3 .tm print-one-float: .t=\\n[.t], h=\\n[df*height!\\n[df*o-fnr]]
+.	if \\n[.t]<\\n[df*height!\\n[df*o-fnr]] .pg@next-page
+.	ds@output-float
+.	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[df*o-fnr]<=\\n[df*fnr] \{\
+.	if \\n[D]>3 .tm print-all-floats: .t=\\n[.t], h=\\n[df*height!\\n[df*o-fnr]]
+.	if \\n[.t]<\\n[df*height!\\n[df*o-fnr]] .pg@next-page
+.	br
+\c
+.	ds@output-float
+.	if \\n[De] .pg@next-page
+.\}
+..
+.\"---------------
+.\" print as many floats as will fit on the current page
+.de ds@print-this-page
+.while \\n[df*o-fnr]<=\\n[df*fnr] \{\
+.	if \\n[D]>3 .tm print-this-page: .t=\\n[.t], h=\\n[df*height!\\n[df*o-fnr]]
+.	if \\n[.t]<\\n[df*height!\\n[df*o-fnr]] .break
+.	ds@output-float
+.\}
+..
+.\"---------------------------------------------------
+.\" get format of the display
+.de ds@set-format
+.ie \\n[.$] \{\
+.	ie r ds*format!\\$1 .nr ds*format \\n[ds*format!\\$1]
+.	el .@error \\*[ds@macro]: unrecognized format '\\$1'
+.\}
+.el .nr ds*format 0
+.if \\n[D]>2 .tm set format=\\n[ds*format]
+.\" fill or not to fill, that is the...
+.nr ds*fill 0
+.if \\n[.$]>1 \{\
+.	ie r ds*fill!\\$2 .nr ds*fill \\n[ds*fill!\\$2]
+.	el .@error \\*[ds@macro]: unrecognized fill style '\\$2'
+.\}
+.if \\n[D]>2 .tm set fill=\\n[ds*fill]
+.nr ds*rindent 0
+.if \\n[.$]>2 .nr ds*rindent \\$3
+.if \\n[D]>2 .tm set indent=\\n[ds*rindent]
+..
+.\"-----------------------------
+.\" .ds@set-new-ev previous-line-length
+.de ds@set-new-ev
+.ll \\$1u
+.lt \\$1u
+.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
+..
+.\"--------------------------------------------------------
+.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
+.\"--------------------------------------------
+.\" static display start
+.\" nested DS/DE is allowed. No limit on depth.
+.de DS
+.ds ds@macro \\$0
+.br
+.nr ds*lvl +1
+.ds@set-format \\$@
+.\"
+.nr ds*old-ll \\n[.l]
+.nr ds*old-in \\n[.i]
+.misc@push ds-in \\n[ds*old-in] \" Saving indent and line length of
+.misc@push ds-ll \\n[ds*old-ll] \" the text outside the display.
+.misc@push ds-form \\n[ds*format]
+.nr ds*i \\n[.i]
+.nr ds*ftmp \\n[.f]
+.misc@ev-keep ds*ev!\\n+[ds*snr]
+.ft \\n[ds*ftmp]
+.\"
+.init@reset
+.\" indent in a diversion doesn't seem like a good idea.
+'in 0
+.di ds*div!\\n[ds*snr]
+.\"
+.nr ds*div-ll \\n[ds*old-ll]
+.if \\n[ds*format]=1 .nr ds*div-ll -\\n[Si]n
+.ds@set-new-ev \\n[ds*div-ll]
+.nr df*float 0
+..
+.\"--------------------------------------------
+.de ds@end
+.\" We hard-code the DE macro name here since this macro is internal but
+.\" only DE calls it.  We also know we're closing a static keep because
+.\" df@end is called otherwise.  See `DE`.
+.if \\n-[ds*lvl]<0 .@error DE: no corresponding DS
+.br
+.di
+.\" **********
+.nr ds*width \\n[dl]
+.nr ds*height \\n[dn]
+.misc@pop-nr ds-ll ds*old-ll \" Restore indent and
+.misc@pop-nr ds-in ds*old-in \" line length
+.misc@pop-nr ds-form ds*format
+.\"
+.\" **********
+'nf
+.\" calculate needed space
+.nr ds*need \\n[ds*height]
+.nr ds*i \\n[pg*foot-trap]-\\n[pg*header-size]u-\\n[pg*extra-header-size]u
+.if (\\n[ds*height]>\\n[ds*i])&(\\n[.t]<(\\n[ds*i]/2)) .nr ds*need \\n[.t]u+1v
+.if (\\n[ds*height]<\\n[ds*i])&(\\n[.t]<(\\n[ds*height])) .nr ds*need \\n[.t]u+1v
+.\"	Eject page if display will fit one page and
+.\"	there are less than half of the page left.
+.if \\n[ds*need] .ne \\n[ds*need]u
+.\"
+.\"	Print static display
+.nr ds*i \\n[Lsp]
+.if r Dsp .nr ds*i \\n[Dsp]
+.\"
+.if \\n[Ds] .SP \\n[ds*i]u \" Space before display
+.\" check if pending equation label
+.eq@check \\n[ds*need]
+'in \\n[ds*old-in]u
+.if \\n[ds*format]=1 'in \\n[ds*old-in]u+\\n[Si]n
+.if \\n[ds*format]>=2 'in 0
+.if \\n[ds*format]=2 'ce 9999
+.if \\n[ds*format]=3 'in (u;(\\n[.l]-\\n[ds*width])/2)
+.if \\n[ds*format]=4 'rj 9999
+.if \\n[ds*format]=5 'in (u;\\n[.l]-\\n[ds*width])
+.\" **********
+.\"
+.ds*div!\\n[ds*snr]
+.if \\n[Ds] .SP \\n[ds*i]u \" Space after display
+.\"
+.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@suppress-indentation 1	\" no indentation after displays
+.ev
+..
+.\"########### 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
+.aln :g li*lvl
+.nr li*cur-vpos 0
+.\"--------------------------
+.\"	the major list-begin macro.
+.\"	If type == -1 a 'break' will occur.
+.de LB
+.if \\n[.$]<4 .@error \\$0: expected at least 4 arguments, got \\n[.$]
+.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 \\$7\"	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 \\$0: no list active; call AL, BL, BVL, ... \
+first
+.if \\n[li*li-spc]&(\\n[li*lvl]<=\\n[Ls]) \
+.	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 \{\
+.	ie (\\$2=2):(\\n[Limsp]=0) .ds li*c-mark \\$1\\*[li*c-mark]
+.	el .ds li*c-mark \\$1\ \\*[li*c-mark]
+.\}
+.\"
+.\" determine where the text begins
+.nr li*text-begin \\n[li*tind]>?\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 \\$0: no list active; call AL, BL, BVL, ... \
+and LI first
+.li@pop
+.if '\\$1'1' .SP \\n[Lsp]u
+.nr par@suppress-indentation 1	\" no indentation after lists
+..
+.\"-------------
+.\"	list status clear.
+.\"	terminate all lists to level i
+.de LC
+.nr li*i 0
+.if \\n[.$] \{\
+.	ie \B'\\$1' .nr li*i \\$1
+.	el          .@error \\$0: argument not numeric: '\\n[li*i]'
+.\}
+.if \\n[li*i]>\\n[li*lvl] .@error \\$0 invalid argument: \\n[li*i] \
+exceeds depth of nested lists (\\n[li*lvl])
+.while \\n[li*lvl]>\\n[li*i] .li@pop
+.nr par@suppress-indentation 1	\" no indentation after lists
+..
+.\"-------------
+.de AL
+.if \\n[.$]>3 .@warning \\$0: ignoring excess 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 .@warning \\$0: ignoring excess 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 .@warning \\$0: ignoring excess arguments
+.if \\n[.$]<1 .@error \\$0: expected 1 to 3 arguments, got \\n[.$]
+.ie \\n[.$]<3 .LB 0\\$1 0\\$2 0 0
+.el .LB 0\\$1 0\\$2 0 0 \& 0 1
+..
+.de BL
+.if \\n[D]>2 .tm BL $*
+.if \\n[.$]>2 .@warning \\$0: ignoring excess 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 .@warning \\$0: ignoring excess 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 .@warning \\$0: ignoring excess 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 .@warning \\$0: ignoring excess arguments
+.if \\n[.$]<1 .@error \\$0: expected 1 to 3 arguments, got \\n[.$]
+.ie \\n[.$]<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 mm.
+.\" 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 \\$0: .TH without .TS H"
+..
+.de TE
+.ie '\\n[.z]'tbl*header-div' .@error \\$0: .TS H but no .TH before .TE
+.el \{\
+.	nr tbl*have-header 0
+.\}
+.\" reset tabs
+.TAB
+..
+.de T&
+..
+.\" ####### module pic #######################################
+.de PS
+.if !\\n[.$]=2 \{\
+.	ds pic*msg \\$0: expected 2 arguments, got \\n[.$]\"
+.	as pic*msg ; not preprocessed with pic?\"
+.	@error \\*[pic*msg]
+.\}
+.br
+.SP .5
+.if r ds*format .if !\\n[ds*lvl] .ne (u;\\$1)+1v
+..
+.de PY
+.init@reset
+..
+.de PE
+.PY
+.SP .5
+..
+.\" ####### module eq #######################################
+.\"
+.nr eq*number 0 1
+.ds eq*label
+.de EQ
+.ds eq*label "\\$1
+..
+.de eq@check
+.if !'\\*[eq*label]'' \{\
+.	mk
+.	\" space down to middle of equation
+'	sp (u;(\\$1-1v)/2)
+.	ie (\\n[Eq]%2) \{\
+.		\"	label to the left
+\h'|0'\\*[eq*label]
+.	\}
+.	el \{\
+.		\"	label to the right, possibly compensating for
+.		\"	indented display
+.		ie \\n[ds*format]=1 \
+\h'|\\n[.l]u-\w'\\*[eq*label]'u+\\n[Si]n'\\*[eq*label]
+.		el \h'|\\n[.l]u-\w'\\*[eq*label]'u'\\*[eq*label]
+.	\}
+.	rt
+.\}
+.ds eq*label
+..
+.de EN
+..
+.\"########### 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
+.df@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
+.ds H1txt \\*[Licon]
+.ds Tcst co
+.pg@clear-hd
+.EF ""
+.OF ""
+.pg@next-page
+.\"-------------
+.if d Ci .toc@read-Ci \\*[Ci]
+.nf
+.in 0
+.ie \\n[Oc] .hd@set-page 1
+.el \{\
+.	nr toc*pn 1 1
+.	af toc*pn i
+.	aln ;g toc*pn
+.	PF "''\\\\\\\\n[toc*pn]''"
+.	am pg@header
+.		nr toc*pn +1
+\\..
+.\}
+.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
+.br
+.\" print LIST OF XXX
+.if d lix*dsfg .lix@print-ds fg FG "\\*[Lf]" \\n[.$]
+.if d lix*dstb .lix@print-ds tb TB "\\*[Lt]" \\n[.$]
+.if d lix*dsec .lix@print-ds ec EC "\\*[Le]" \\n[.$]
+.if d lix*dsex .lix@print-ds ex EX "\\*[Lx]" \\n[.$]
+..
+.\"-----------
+.\" .toc@read-Ci lev1 lev2 lev3 lev4 ... lev7
+.de toc@read-Ci
+.nr toc*i 0 1
+.while \\n+[toc*i]<15 \{\
+.	nr toc*hl!\\n[toc*i] \\$[\\n[toc*i]]
+.\}
+..
+.\"-----------
+.de toc@entry
+.ie \\n[Sectp] \{\
+.	toc@save \\$1 "\\*[hd*mark]" "\\$2" \\*[hd*sect-pg]
+.\}
+.el .toc@save \\$1 "\\*[hd*mark]" "\\$2" \\n[P]
+..
+.als )E toc@entry
+.\"-----------
+.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
+.	\}
+.\}
+.am toc*list
+.\" .toc@set level headernumber text pagenumber
+.toc@set \\$1 "\\$2" "\\$3" \\$4
+\\..
+..
+.\"-----------
+.\" level mark text pagenumber
+.de toc@set
+.if \\$1<=\\n[toc*slevel] .SP \\n[toc*spacing]u
+.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 headernumber space
+.nr toc*i \\n[toc*hl!\\$1]-\w@\\$2@
+.\"
+.ll \\n[@ll]u-\w@\\$4@u-2m
+.ne 2v
+.\" 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*label \\*[Li\\$1]\ \\*[lix*numb]\\*[lix*ds-form]
+.if !'\\$5'' \{\
+.	if !0\\$6 .ds lix*label \\*[Li\\$1]\ \\$5\\*[lix*numb]\\*[lix*ds-form]
+.	if 0\\$6=1 .ds lix*label \\*[Li\\$1]\ \\*[lix*numb]\\$5\\*[lix*ds-form]
+.	if 0\\$6=2 .ds lix*label \\*[Li\\$1]\ \\$5\\*[lix*ds-form]
+.\}
+.\" print line if not between DS/DE
+.ie (\\n[ds*lvl]<1)&(\\n[df*float]=0) \{\
+.	lix@print-text "\\*[lix*label]" "\\*[lix*text]" \\$1 \\$2 \\$7
+.\}
+.el \{\
+.	lix@embedded-text "\\*[lix*label]" "\\*[lix*text]" \\$1 \\$2 \\$7
+.\}
+.\"
+..
+.\"-----------
+.\" label text type stringvar refname
+.de lix@print-text
+.ie \\n[Sectp] .ds lix*pgnr \\*[hd*sect-pg]
+.el .ds lix*pgnr \\n[%]
+.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
+\f3\\$1\fP\\$2
+.br
+.ev
+.\" save line for LIST OF XXX, wth is the width of the label
+.if !r lix*wth\\$3 .nr lix*wth\\$3 0
+.\" find the maximum width
+.if \w@\\*[lix*label]@>\\n[lix*wth\\$3] .nr lix*wth\\$3 \w@\\*[lix*label]@
+.if \\n[\\$4] .lix@ds-save \\$3 \\*[lix*pgnr] "\\*[lix*text]" "\\*[lix*label]"
+.\" save reference to the figure
+.if !'\\$5'' .SETR \\$5 \\*[lix*numb]
+..
+.\" hide printout until diversion is evaluated
+.de lix@embedded-text
+\!.ie \\\\n[Sectp] .ds lix*pgnr \\\\*[hd*sect-pg]
+\!.el .ds lix*pgnr \\\\n[%]
+\!.SP \\\\n[Lsp]u
+\!.misc@ev-keep lix
+\!.ll \\n[.l]u
+\!.init@reset
+\!.fi
+\!.ie (\w@\\$1\\$2@)>(\\\\n[.l]-\\\\n[.i]) \{\
+.	in +\w@\\$1@u
+\!.	ti 0
+\!\f3\\$1\fP\\$2
+\!.\}
+\!.el \{\
+.	ce 1
+\!\f3\\$1\fP\\$2
+\!.\}
+\!.br
+\!.ev
+.\" save line for LIST OF XXX, wth is the width of the label
+\!.if !r lix*wth\\$3 .nr lix*wth\\$3 0
+.\" find the maximum width
+\!.if \w@\\*[lix*label]@>\\\\n[lix*wth\\$3] .nr lix*wth\\$3 \w@\\*[lix*label]@
+\!.if \\\\n[\\$4] .lix@ds-save \\$3 \\\\*[lix*pgnr] "\\*[lix*text]" "\\*[lix*label]"
+.\" save reference to the figure
+\!.if !'\\$5'' .SETR \\$5 \\*[lix*numb]
+..
+.\"------------
+.\" print complete list of XXXX
+.de lix@print-ds
+.\" arg: fg,tb,ec,ex text
+.ds H1txt \\$3
+.ds Tcst \\$1
+.if !\\n[Cp] .pg@next-page
+.\" print LIST OF XXXX
+.\" execute user-defined macros
+.if \\$4<=4 .if d TX\\$2 .TX\\$2
+.ie d TY\\$2 .if \\$4<=4 .TY\\$2
+.el \{\
+.	ce
+\\$3
+.	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 headernumber
+.de lix@dsln
+.nr lix*i \\n[lix*wth\\$1]-\w@\\$4@
+.ne 4v
+.ll \\n[@ll]u-\w@\\$4@u-\w@\\$2@u-2m
+.ti -\\n[lix*wth\\$1]u
+\\$4
+.sp -1
+\\$3\h'1m'
+.sp -1
+.ll
+.nr lix*sep (u;\\n[.l]-\\n[.n]-\\n[.i]-\w@\\$2@)-1m
+\h'|\\n[.n]u'\l'\\n[lix*sep]u.'\h'1m'\\$2
+.SP \\n[toc*spacing]u
+..
+.\"########################### module fnt ############################
+.\" some font macros.
+.\"-----------
+.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 \f3 \f[\\n[.f]] \\$@
+.el .ft 3
+..
+.de I
+.ie \\n[.$] .fnt@switch \f2 \f[\\n[.f]] \\$@
+.el .ft 2
+..
+.de R
+.ie \\n[.$] .fnt@switch \f1 \f[\\n[.f]] \\$@
+.el .ft 1
+..
+.de IB
+.if \\n[.$] .fnt@switch \f2 \f3 \\$@
+..
+.de BI
+.if \\n[.$] .fnt@switch \f3 \f2 \\$@
+..
+.de IR
+.if \\n[.$] .fnt@switch \f2 \f1 \\$@
+..
+.de RI
+.if \\n[.$] .fnt@switch \f1 \f2 \\$@
+..
+.de RB
+.if \\n[.$] .fnt@switch \f1 \f3 \\$@
+..
+.de BR
+.if \\n[.$] .fnt@switch \f3 \f1 \\$@
+..
+.\"########################### 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 \\$0: cannot nest; 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]u
+.vs \\n[@vs]u
+.in 1n
+.ll (u;\\n[box*wid]-1n)
+.hy \\n[.hy]
+..
+.de B2
+.if !\\n[box*ll] .@error \\$0: no corresponding 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 ############################
+.mso refer-mm.tmac
+.nr ref*nr 0 1
+.aln :R ref*nr
+.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 \v'-.4m'\s-3[\\n[ref*nr]]\s0\v'.4m'
+.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 \{\
+.	@warning \\$0: ignoring; no references defined
+.	return
+.\}
+.ie !''\\$2' .nr ref*i 0\\$2
+.el .nr ref*i \\n[Rpe]
+.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
+\f2\\*[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
+.nr ref*flag 0 1
+..
+.\"########################### module app ############################
+.\"
+.nr app*nr 0 1
+.af app*nr A
+.nr app*dnr 0 1
+.nr app*flag 0
+.\"------------
+.\" .APP name text
+.\" name == "" -> autonumber
+.de APP
+.\" .if \\n[.$]<2 .@error "APP: too few arguments"
+.app@set-ind "\\$1"
+.\"
+.ds Tcst ap
+.ds Apptxt \\$2
+.\"
+.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 \\$0: expected 2 or 3 arguments, got \\n[.$]
+.app@set-ind "\\$1"
+.\"
+.ds Tcst ap
+.ds Apptxt \\$3
+.\"
+.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*flag] \{\
+.		nr H1 0 1
+.		af H1 A
+.		af H1h A
+.		nr app*flag 1
+.	\}
+.	ds app*ind \\n+[app*nr]
+.	nr H1 \\n+[app*dnr]
+.	nr H1h \\n[app*dnr]
+.\}
+.\"	clear lower counters
+.nr app*i 1 1
+.while \\n+[app*i]<15 .nr H\\n[app*i] 0 1
+..
+.\"------------
+.de app@index
+.toc@save 1 "" "\\*[App] \\$1: \\$2" \\n[%]
+..
+.\"------------
+.\" app@header name text
+.de app@header
+.bp
+.SP (u;\\n[Lsp]*4)
+.ce 1
+\s+4\f3\\*[App]\ \\$1\fP\s0
+.SP (u;\\n[Lsp]*2)
+.if \w@\\$2@<\\n[.l] .ce 1
+\f3\s+2\\$2\s0\fP
+.SP (u;\\n[Lsp]*4)
+..
+.als APPX app@header
+.\"########################### 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
+.\" number of authors' titles stored in cov*at!x
+.\" title(s) of author(s) 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
+.ds @cover \\$0
+.@disable IA IE WA WE LO LT \" can't use with LT and friends
+.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
+.if !\\n[.$] .return \" AU is being used only to end a TL.
+.pg@disable-top-trap
+.nr cov*au +1
+.nr cov*at!\\n[cov*au] 0 \" no titles for this author yet
+.nr cov*i 0 1
+.ds cov*au!\\n[cov*au]!1
+.while \\n[.$]>=\\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 title [...]
+.\" Any quantity of titles may be declared.
+.\" Must be called directly after the corresponding .AU.
+.de AT
+.if !\\n[.$] \{\
+.	@warning \\$0: ignoring; no arguments specified
+.	return
+.\}
+.nr cov*at!\\n[cov*au] \\n[.$]
+.nr cov*i 0 1
+.while \\n[.$]>=\\n+[cov*i] \{\
+.	ds cov*at!\\n[cov*au]!\\n[cov*i] "\\$[\\n[cov*i]]
+.\}
+..
+.\"-------------------
+.de AF
+.cov@title-end
+.if !''\\$1' .ds cov*firm \\$1
+..
+.de AST
+.ds cov*abs-name "\\$1\"
+..
+.de AS
+.pg@disable-top-trap
+.if d cov*abstract .@error \\$0: only one abstract allowed
+.if !''\\n[.z]' .@error \\$0: no diversion allowed (previous .AS?)
+.nr cov*abs-arg 0\\$1
+.nr cov*abs-ind (n;0\\$2)
+.de cov*abstract AE
+..
+.de AE
+..
+.\" fixed for 2000, now uses \n[year].
+.de ISODATE
+.	\" support for ISO-date
+.	nr cov*mm \\n[mo]
+.	nr cov*dd \\n[dy]
+.	af cov*mm 01
+.	af cov*dd 01
+.	ie '0'\\$1' \{\
+.		ds cov*new-date \\*[MO\\n[mo]] \\n[dy], \\n[year]
+.	\}
+.	el \{\
+.		ds cov*new-date \\n[year]-\\n[cov*mm]-\\n[cov*dd]
+.	\}
+..
+.ISODATE 0
+.als DT cov*new-date
+.de ND
+.ds cov*new-date \\$1
+..
+.\" switch to ISO-date if register Iso exist: YYYY-MM-DD
+.if r Iso .ISODATE 1
+.\"-------------------
+.\" Save technical memorandum numbers.
+.de TM
+.if !\\n[.$] \{\
+.	@warning \\$0: ignoring; no arguments specified
+.	return
+.\}
+.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
+.ds @cover \\$0
+.@disable COVER IA IE WA WE LO LT
+.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-addressee "\\$2
+.ds cov*mt-type-text "\\$1
+.ie d @country .ds cov*str mm/\\*[@country]_
+.el .ds cov*str mm/
+.mso \\*[cov*str]\\*[cov*mt-file!\\*[cov*mt-type]]
+..
+.de COVER
+.ds @cover \\$0
+.@disable IA IE WA WE LO LT MT
+.ie !\\n[.$] .ds cov*cov-type ms
+.el .ds cov*cov-type \\$1
+.pg@disable-top-trap
+.ie d @country .ds cov*str mm/\\*[@country]_\\*[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.
+.\"
+.\" check if stderr-method is wanted
+.\" This was needed when I discovered that groff was considered unsafe
+.\" and groff -U didn't work. It's a workaround like the original
+.\" index method, but not in my view elegant enough.
+.\"
+.\" init reference system
+.de INITR
+.ds qrf*file \\$1.qrf
+.nr qrf*pass 2
+.if \\n[D]>1 .tm INITR: source \\*[qrf*file]
+.ie \\n[Ref] \{\
+.	tm .\\\\" Rfilename: \\*[qrf*file]
+.\}
+.el 'so  \\*[qrf*file]
+..
+.\"---------------
+.\" set a reference.
+.de SETR
+.if \\n[.$]<1 .@error \\$0: expected 1 or 2 arguments, got \\n[.$]
+.if !r qrf*pass .tm \\$0: no .INITR in this file \" XXX: .@error?
+.if \\n[Ref] \{\
+.	ds qrf*name qrf*ref-\\$1
+.	if \\n[D]>2 .tm SETR: ref \\*[qrf*name]=\\*[hd@mark-trimmed],\\n[%]
+.	\" heading-number
+.	ds \\*[qrf*name]-hn \\*[hd@mark-trimmed]
+.	\" page-number
+.	ds \\*[qrf*name]-pn \\n[%]
+.	\"
+.	if \\n[Ref] \{\
+.		tm .ds \\*[qrf*name]-hn \\*[hd@mark-trimmed]
+.		tm .ds \\*[qrf*name]-pn \\n[%]
+.		if !'\\$2'' .tm .ds \\*[qrf*name]-xx \\$2
+.	\}
+.\}
+..
+.\"---------------
+.\" get misc-string
+.\" If two arg -> set var. arg to misc-string.
+.de GETST
+.if \\n[.$]<1 .@error \\$0: expected 1 or 2 arguments, got \\n[.$]
+.if !r qrf*pass .tm \\$0: no .INITR in this file \" XXX: .@error?
+.ds qrf*name qrf*ref-\\$1
+.	if d \\*[qrf*name]-xx \{\
+.		ie \\n[.$]>1 .ds \\$2 \\*[\\*[qrf*name]-xx]
+.		el \\*[\\*[qrf*name]-xx]\c
+.	\}
+.\}
+..
+.\"---------------
+.\" get header-number
+.\" If two arg -> set var. arg to header-number.
+.de GETHN
+.if \\n[.$]<1 .@error \\$0: expected 1 or 2 arguments, got \\n[.$]
+.if !r qrf*pass .tm \\$0: no .INITR in this file \" XXX: .@error?
+.ds qrf*name qrf*ref-\\$1
+.if d \\*[qrf*name]-hn \{\
+.	ie \\n[.$]>1 .ds \\$2 \\*[\\*[qrf*name]-hn]
+.	el \\*[\\*[qrf*name]-hn]\c
+.\}
+..
+.\"---------------
+.\" get page-number
+.\" If two arg -> set var. arg to page-number.
+.de GETPN
+.if \\n[.$]<1 .@error \\$0: expected 1 or 2 arguments, got \\n[.$]
+.if !r qrf*pass .tm \\$0: no .INITR in this file \" XXX: .@error?
+.ds qrf*name qrf*ref-\\$1
+.if d \\*[qrf*name]-pn \{\
+.	ie \\n[.$]>1 .ds \\$2 \\*[\\*[qrf*name]-pn]
+.	el \\*[\\*[qrf*name]-pn]\c
+.\}
+..
+.\"----------
+.de GETR
+.if \\n[.$]<1 .@error \\$0: expected an argument
+.ie !r qrf*pass .tm \\$0: no .INITR in this file" \" XXX: .@error?
+.el \{\
+.	GETHN \\$1 Qrfh
+.	GETPN \\$1 Qrfp
+\\*[Qrf]
+.\}
+..
+.\"########################### module ind ############################
+.\"--------------------
+.\" Another type of index system
+.\" INITI type filename [macro]
+.de INITI
+.if \\n[.$]<2 .@error \\$0: expected 2 or 3 arguments, got \\n[.$]
+.\" ignore if INITI has already been used
+.if d ind*file .@error \\$0: index file name already set
+.ds ind*file \\$2.ind
+.if \\n[D]>1 .tm INITI: source \\*[ind*file]
+.if !d ind*file .@error \\$0: index file name not specified
+.ds ind*type \\$1
+.if \\n[Ref] \{\
+.	if \\n[.$]>2 .tm .\\\\" Imacro: \\$3
+.\}
+..
+.\"---------------
+.de IND
+.if !d ind*file .@error \\$0: no active index; call INITI"
+.if \\n[D]>1 .tm IND: type=\\*[ind*type]
+.ds ind*ref \" empty
+.if '\\*[ind*type]'N' .ds ind*ref \\n[%]
+.if '\\*[ind*type]'H' .ds ind*ref \\*[hd*mark]
+.if '\\*[ind*type]'B' .ds ind*ref \\*[hd*mark]\t\\n[%]
+.if '\\*[ind*ref]'' .@abort invalid index type '\\*[ind*type]'
+.\"
+.ds ind*line \\$1
+.while \\n[.$]>0 \{\
+.	shift
+.	as ind*line \t\\$1
+.\}
+.as ind*line \\*[ind*ref]
+.if \\n[Ref] .tm .\\\\" IND \\*[ind*line]
+..
+.\" print index
+.de INDP
+.ie \\n[Ref] .tm .\\\\" Index: \\*[ind*file]
+.el \{\
+.	if !\\n[Cp] .pg@next-page
+.	\" print INDEX
+.	\" execute user-defined macros
+.	if d TXIND .TXIND
+.	ie d TYIND .TYIND
+.	el \{\
+.		SK
+.		ce
+\\*[Index]
+.		SP 3
+.		2C
+.		nf
+.	\}
+'	so  \\*[ind*file]
+.	ie d TZIND .TZIND
+.	el \{\
+.		fi
+.		1C
+.	\}
+.\}
+.rm ind*file
+..
+.\"########################### module let ############################
+.\" Letter macros
+.\"------------------------
+.\" Formal closing
+.de FC
+.df@print-float 3
+.ie \\n[.$] .ds let*i \\$1
+.el .ds let*i \\*[Letfc]
+.ie d let*type .let@fc_\\*[let*type] "\\*[let*i]" \\$@
+.el .let@mt-closing "\\*[let*i]" \\$@
+..
+.\"-------
+.de let@mt-closing
+.ne 5v
+.in (u;\\n[.l]/2)
+.sp
+\\$1
+.in
+..
+.\"------------------------
+.\" Signature line
+.de SG
+.ie d let*type .let*lt-sign \\$@
+.el .let*mt-sign \\$@
+..
+.\"------------------------
+.de let*lt-sign
+.\" We hard-code the SG macro name here since this macro is internal but
+.\" only SG calls it.
+.if !d let@sg_\\*[let*type] .@error SG: letter type '\\*[let*type]' \
+undefined
+.df@print-float 3
+.nr let*i 0 1
+.nr let*j 0
+.while \\n+[let*i]<=\\n[let*wa-n] \{\
+.if \\n[let*i]=\\n[let*wa-n] .nr let*j 1
+.let@sg_\\*[let*type] "\\*[let*wa-name!\\n[let*i]]" "\\*[let*wa-title!\\n[let*i]]" \\n[let*i] \\n[let*j] \\$@
+.\}
+..
+.\"------------------------
+.\" Memorandum signature
+.de let*mt-sign
+.df@print-float 3
+.ne \\n[cov*au]u*4v
+.ie \\n[.$]>1 .nr let*k 1
+.el .nr let*k \\n[cov*au]
+.ds let*tmp \" empty
+.if d cov*au!\\n[let*k]!3 \{\
+.	as let*tmp \\*[cov*au!\\n[let*k]!3]\"
+.	if d cov*au!\\n[let*k]!4 \
+.		as let*tmp -\\*[cov*au!\\n[let*k]!4]-\"
+.\}
+.nr let*i 0 1
+.while \\n+[let*i]<=\\n[cov*au] \{\
+.	if \\n[let*i]>1 .as let*tmp /\"
+.	if d cov*au!\\n[let*i]!2 .as let*tmp \\*[cov*au!\\n[let*i]!2]\"
+.\}
+.if !''\\$1' .as let*tmp -\\$1
+.in (u;\\n[.l]/2)
+.nf
+.nr let*i 0 1
+.while \\n+[let*i]<=\\n[cov*au] \{\
+.	ne 3v+\\n[cov*at!\\n[let*i]]v
+.	SP 3v
+.	if \\n[let*i]=\\n[let*k] \{\
+\Z'\h'-(u;\\n[.l]/2)'\\*[let*tmp]'\c
+.	\}
+\\*[cov*au!\\n[let*i]!1]
+.	nr let*j 0 1
+.	while \\n+[let*j]<=\\n[cov*at!\\n[let*i]] \{\
+\\*[cov*at!\\n[let*i]!\\n[let*j]]
+.	\}
+.\}
+.fi
+.in
+..
+.\"------------------------
+.\" Approval signature
+.de AV
+.ne 6v
+.nf
+.sp
+.ie \\n[.$]<2 \\*[Letapp]
+.el .sp
+.sp 2
+.ie n ______________________________      ______________
+.el \D'l 25m 0'\h'4m'\D'l 12m 0'
+\Z'\\$1'\h'29m'\f[\\*[@sdf_font]]\\*[Letdate]\fP
+.fi
+..
+.\"------------------------
+.\" Letter signature
+.de AVL
+.ne 6v
+.nf
+.sp 3
+.ie n ______________________________
+.el \D'l 25m 0'
+\Z'\\$1'
+.fi
+..
+.\"------------------------
+.\" Letter type
+.\" let@header is called from the header. It is supposed
+.\" to remove the alias itself.
+.de LT
+.ds @cover LT
+.@disable AF AS AE AT AU COVER CS OK TL MT \" same list as LO
+.ds let*type BL
+.nr Pi 5
+.nr Pt 0
+.if !''\\$1' .ds let*type \\$1
+.if !d let@head_\\*[let*type] .@error \\$0: unknown letter type '\\$1'
+.shift
+.als let@header let@head_\\*[let*type]
+.let@init_\\*[let*type] \\$@
+.if \n[D]>1 .tm Letter type \\*[let*type]
+..
+.\"-----------
+.\" Blocked letter
+.de let@init_BL
+..
+.de let@head_BL
+.rm let@header
+.let@print-head 1
+..
+.de let@sg_BL
+.ne 5v
+.nf
+.in (u;\\n[.l]/2)
+.sp 3v
+\\$1
+\\$2
+.in
+.if \\$4 .sp
+.if \w'\\$5'&\\$4 \\$5
+.fi
+..
+.als let@fc_BL let@mt-closing
+.\"-----------
+.\" Semiblocked letter
+.de let@init_SB
+.nr Pt 1
+..
+.de let@head_SB
+.rm let@header
+.let@print-head 1
+..
+.als let@sg_SB let@sg_BL
+.als let@fc_SB let@mt-closing
+.\"-----------
+.\" Full-blocked letter
+.de let@init_FB
+..
+.de let@head_FB
+.rm let@header
+.let@print-head
+..
+.de let@sg_FB
+.ne 5v
+.nf
+.sp 3v
+\\$1
+\\$2
+.if \\$4 .sp
+.if \w'\\$5'&\\$4 \\$5
+.fi
+..
+.de let@fc_FB
+.ne 5v
+.sp
+\\$1
+..
+.\"-----------
+.\" Simplified letter
+.de let@init_SP
+..
+.de let@head_SP
+.rm let@header
+.let@print-head
+..
+.de let@sg_SP
+.nf
+.if \\$3=1 .sp
+.sp
+.ie '\\$2'' .misc@toupper "\\$1"
+.el         .misc@toupper "\\$1, \\$2"
+.if \\$4 .sp
+.if \w'\\$5'&\\$4 \\$5
+.fi
+..
+.de let@fc_SP
+.\" Simplified letters have no formal closing, just space before SG.
+.sp 2
+..
+.\"--------------------------------------
+.\" Print the letter-head
+.de let@print-head
+.nf
+.sp |11
+.if '1'\\$1' .in (u;\\n[.l]/2)
+.\" ---- WA
+.ie d let@wa-div .let@wa-div
+.el .sp 3
+.\" ---- datum
+\\*[cov*new-date]
+.sp
+.if '1'\\$1' .if !d let*lo-CN .if !d let*lo-RN .sp 2
+.\" ---- Confidential
+.if d let*lo-CN \{\
+.	ti 0
+.	ie !''\\*[let*lo-CN]' \\*[let*lo-CN]
+.	el \\*[LetCN]
+.	sp
+.\}
+.\" ---- Reference
+.if d let*lo-RN \{\
+\\*[LetRN] \\*[let*lo-RN]
+.	sp
+.\}
+.\" ---- IA
+.sp
+.in 0
+.nr let*i 0 1
+.while \\n+[let*i]<=\\n[let*ia-n] \{\
+\\*[let*ia-name!\\n[let*i]]
+\\*[let*ia-title!\\n[let*i]]
+.\}
+.if d let@ia-div .let@ia-div
+.\" ---- Attention
+.if d let*lo-AT \{\
+.	sp
+\\*[LetAT] \\*[let*lo-AT]
+.\}
+.\" ---- Salutation
+.if !'\\*[let*type]'SP' .if d let*lo-SA \{\
+.	sp
+.	ti 0
+.	ie !''\\*[let*lo-SA]' \\*[let*lo-SA]
+.	el \\*[LetSA]
+.\}
+.\" ---- Subject
+.if d let*lo-SJ \{\
+.	ie '\\*[let*type]'SP' \{\
+.		sp 2
+.		misc@toupper "\\*[let*lo-SJ]"
+.		sp
+.	\}
+.	el \{\
+.		sp
+.		if '\\*[let*type]'SB' .ti +5m
+\\*[LetSJ] \f[\\*[@sdf_font]]\\*[let*lo-SJ]\fP
+.	\}
+.\}
+..
+.\"-------------------
+.\" .IA [name [title]]
+.nr let*ia-n 0 1
+.de IA
+.if \\n[.$] .ds let*ia-name!\\n+[let*ia-n] \\$1
+.if \\n[.$]>1 .ds let*ia-title!\\n[let*ia-n] \\$2
+.ev let@ev
+.init@reset
+'nf
+.di let@ia-div
+.eo
+..
+.de IE
+.di
+.ec
+.ev
+..
+.\"-------------------
+.\" .WA [name [title]]
+.nr let*wa-n 0 1
+.de WA
+.if \\n[.$] .ds let*wa-name!\\n+[let*wa-n] \\$1
+.if \\n[.$]>1 .ds let*wa-title!\\n[let*wa-n] \\$2
+.ev let@ev
+.init@reset
+'nf
+.di let@wa-div
+.it \\n[Letwam] let@wa-drain
+.eo
+..
+.\"------
+.de let@wa-drain
+.it
+.di
+.di let@wa-junk
+..
+.\"------
+.de WE
+.it
+.ec
+.di
+.ev
+.if d let@wa-junk .rm let@wa-junk
+..
+.\"-------------------
+.\" Copy to
+.de NS
+.sp
+.ie !''\\$2' .ds let*str \\$1
+.el \{\
+.	ie \\n[.$]>0 \{\
+.		ie !\w'\\$1' .ds let*str \\*[Letns!\\*[Letnsdef]]
+.		el \{\
+.			ie d Letns!\\$1 .ds let*str \\*[Letns!\\$1]
+.			el .ds let*str \\*[Letns!copy](\\$1)\\*[Letns!to]
+.		\}
+.	\}
+.	el .ds let*str \\*[Letns!\\*[Letnsdef]]
+.\}
+.ne 2
+.nf
+\\*[let*str]
+..
+.de NE
+.fi
+..
+.\"-------------------
+.\" Letter options
+.de LO
+.ds @cover \\$0
+.@disable AF AS AE AT AU COVER CS OK TL MT \" same list as LT
+.if !\\n[.$] \{\
+.	@warning \\$0: ignoring; no arguments specified
+.	return
+.\}
+.if !d Let\\$1 .@error \\$0: unrecognized option '\\$1'
+.ds let*lo-\\$1 \\$2
+.if \n[D]>1 .tm Letter option \\$1 \\$2
+..
+.\"--------------------
+.\" Start with a clean slate
+.init@reset
+.
+.\" Local Variables:
+.\" mode: nroff
+.\" fill-column: 72
+.\" End:
+.\" vim: set filetype=groff textwidth=72: