Convert macros `tmac.XXX' to `XXX.tmac'. Special cases:

  tmac.doc.old -> doc-old.tmac
  tmac.an.old  -> an-old.tmac

* tmac/tmac.*: Moved to ...
* tmac/*.tmac: this.
* tmac/man.local: Fix comment.
* tmac/groff_man.man, tmac/groff_markup.man, tmac/groff_mdoc.man,
tmac/groff_me.man, tmac/groff_ms.man, tmac/groff_tmac.man: Updated.
Added some `FILES' sections.  More use of @...@ directives.  Other
minor updates.
* arch/djgpp/README, font/devutf8/NOTES: Updated.
* doc/homepage.ms, doc/groff.texinfo: Updated.
* man/groff.man, man/roff.man: Updated.
* src/devices/grodvi/grodvi.man, src/devices/grolbp/grolbp.man,
src/devices/grolj4/grolj4.man, src/devices/grops/grops.man,
src/devices/grotty/grotty.man: Updated.
* src/preproc/pic/pic.man: Updated.
* src/roff/grog/grog.pl, src/roff/grog/grog.sh: Use -mdoc-old
instead of -mdoc.old.
* src/roff/grog/grog.man: Document -mdoc and -mdoc-old.
* src/roff/nroff/nroff.man: Updated.
* NEWS: Updated.

* tmac/fixmacros.sed, tmac/strip.sed: Add explanatory comment.

* tmac/mm.diff: Removed -- it has no use now since the mm package
is part of groff.

* tmac/*: Removed trailing spaces.

* arch/djgpp/t-groff.bat: Fix GROFF_TMAC_PATH (hyphen.us is now in
the tmac subdirectory also).

1 files changed, 1872 insertions, 0 deletions

diff --git a/tmac/s.tmac b/tmac/s.tmac
new file mode 100644
index 00000000..3bee5272
--- /dev/null
+++ b/tmac/s.tmac
@@ -0,0 +1,1872 @@
+.\" -*- nroff -*-
+.ig
+
+s.tmac
+
+Copyright (C) 1989, 1990, 1991, 1992 Free Software Foundation, Inc.
+     Written by James Clark (jjc@jclark.com)
+
+This file is part of groff.
+
+groff 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.
+
+groff 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, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+..
+.if !\n(.g .ab These ms macros require groff.
+.if \n(.C \
+.	ab The groff ms macros do not work in compatibility mode.
+.\" Enable warnings. You can delete this if you want.
+.warn
+.\" See if already loaded.
+.if r GS .nx
+.nr GS 1
+.de @error
+.tm \\n(.F:\\n(.c: macro error: \\$*
+..
+.de @warning
+.tm \\n(.F:\\n(.c: macro warning: \\$*
+..
+.de @fatal
+.ab \\n(.F:\\n(.c: fatal macro error: \\$*
+..
+.de @not-implemented
+.@error sorry, \\$0 not implemented
+.als \\$0 @nop
+..
+.als TM @not-implemented
+.als CT @not-implemented
+.de @nop
+..
+.de @init
+.nr PO \\n(.o
+.\" a non-empty environment
+.ev ne
+\c
+.ev
+.ev nf
+'nf
+.ev
+..
+.ds REFERENCES References
+.ds ABSTRACT ABSTRACT
+.ds TOC Table of Contents
+.ds MONTH1 January
+.ds MONTH2 February
+.ds MONTH3 March
+.ds MONTH4 April
+.ds MONTH5 May
+.ds MONTH6 June
+.ds MONTH7 July
+.ds MONTH8 August
+.ds MONTH9 September
+.ds MONTH10 October
+.ds MONTH11 November
+.ds MONTH12 December
+.ds MO \\*[MONTH\n[mo]]
+.ds DY \n[dy] \*[MO] \n[year]
+.de ND
+.if \\n[.$] .ds DY "\\$*
+..
+.de DA
+.if \\n[.$] .ds DY "\\$*
+.ds CF \\*[DY]
+..
+.\" indexing
+.de IX
+.tm \\$1\t\\$2\t\\$3\t\\$4 ... \\n[PN]
+..
+.\" print an error message and then try to recover
+.de @error-recover
+.@error \\$@ (recovering)
+.nr *pop-count 0
+.while !'\\n(.z'' \{\
+.	\"@warning automatically terminating diversion \\n(.z
+.	ie d @div-end!\\n(.z .@div-end!\\n(.z
+.	el .*div-end-default
+.	nr *pop-count +1
+.	\" ensure that we don't loop forever
+.	if \\n[*pop-count]>20 .@fatal recovery failed
+.\}
+.while !'\\n[.ev]'0' .ev
+.par@reset-env
+.par@reset
+..
+.de *div-end-default
+.ds *last-div \\n(.z
+.br
+.di
+.ev nf
+.\\*[*last-div]
+.ev
+..
+.\" ****************************
+.\" ******** module cov ********
+.\" ****************************
+.\" Cover sheet and first page.
+.de cov*err-not-after-first-page
+.@error \\$0 is not allowed after the first page has started
+..
+.de cov*err-not-before-tl
+.@error \\$0 is not allowed before TL
+..
+.de cov*err-not-again
+.@error \\$0 is not allowed more than once
+..
+.de cov*err-not-after-ab
+.@error \\$0 is not allowed after first AB, LP, PP, IP, SH or NH
+..
+.als AU cov*err-not-before-tl
+.als AI cov*err-not-before-tl
+.als AB cov*err-not-before-tl
+.de cov*first-page-init
+.rm cov*first-page-init
+.par@init
+.als RP cov*err-not-after-first-page
+.@init
+.ie \\n[cov*rp-format] \{\
+.	pg@cs-top
+.	als FS cov*FS
+.	als FE cov*FE
+.\}
+.el \{\
+.	pg@top
+.	als FS @FS
+.	als FE @FE
+.\}
+.wh 0 pg@top
+..
+.wh 0 cov*first-page-init
+.\" This handles the case where FS occurs before TL or LP.
+.de FS
+.br
+\\*[FS]\\
+..
+.nr cov*rp-format 0
+.nr cov*rp-no 0
+.\" released paper format
+.de RP
+.nr cov*rp-format 1
+.if \\n[.$] .if '\\$1'no' .nr cov*rp-no 1
+.pn 0
+..
+.de TL
+.br
+.als TL cov*err-not-again
+.rn @AB AB
+.rn @AU AU
+.rn @AI AI
+.di cov*tl-div
+.par@reset
+.ft B
+.ps +2
+.vs +3p
+.ll (u;\\n[LL]*5/6)
+.nr cov*n-au 0
+..
+.de @AU
+.par@reset
+.if !'\\n(.z'' \{\
+.	br
+.	di
+.\}
+.nr cov*n-au +1
+.di cov*au-div!\\n[cov*n-au]
+.nf
+.ft I
+.ps \\n[PS]
+..
+.de @AI
+.par@reset
+.if !'\\n(.z'' \{\
+.	br
+.	di
+.\}
+.ie !\\n[cov*n-au] .@error AI before AU
+.el \{\
+.	di cov*ai-div!\\n[cov*n-au]
+.	nf
+.	ft R
+.	ps \\n[PS]
+.\}
+..
+.de LP
+.if !'\\n[.z]'' \{\
+.	br
+.	di
+.\}
+.br
+.cov*ab-init
+.cov*print
+\\*[\\$0]\\
+..
+.als IP LP
+.als PP LP
+.als XP LP
+.als QP LP
+.als RS LP
+.als NH LP
+.als SH LP
+.als MC LP
+.als RT LP
+.als XS LP
+.de cov*ab-init
+.als cov*ab-init @nop
+.als LP @LP
+.als IP @IP
+.als PP @PP
+.als XP @XP
+.als RT @RT
+.als XS @XS
+.als SH @SH
+.als NH @NH
+.als QP @QP
+.als RS @RS
+.als RE @RE
+.als QS @QS
+.als QE @QE
+.als MC @MC
+.als EQ @EQ
+.als EN @EN
+.als TS @TS
+.als AB cov*err-not-after-ab
+.als AU par@AU
+.als AI par@AI
+.als TL par@TL
+..
+.de @AB
+.if !'\\n(.z'' \{\
+.	br
+.	di
+.\}
+.cov*ab-init
+.di cov*ab-div
+.par@ab-indent
+.par@reset
+.if !'\\$1'no' \{\
+.	ft I
+.	ce 1
+\\*[ABSTRACT]
+.	sp
+.	ft R
+.\}
+.ns
+.@PP
+..
+.de AE
+.ie '\\n(.z'cov*ab-div' \{\
+.	als AE cov*err-not-again
+.	br
+.	di
+.\"	nr cov*ab-height \\n[dn]
+.	par@reset-env
+.	par@reset
+.	cov*print
+.\}
+.el .@error AE without AB
+..
+.de @div-end!cov*ab-div
+.AE
+..
+.de cov*print
+.als cov*print @nop
+.ie d cov*tl-div \{\
+.	ie \\n[cov*rp-format] .cov*rp-print
+.	el .cov*draft-print
+.\}
+.el \{\
+.	if \\n[cov*rp-format] \{\
+.		@warning RP format but no TL
+.		bp 1
+.		als FS @FS
+.		als FE @FE
+.	\}
+.	br
+.\}
+..
+.de cov*rp-print
+.nr cov*page-length \\n[.p]
+.pl 1000i
+.cov*tl-au-print
+.sp 3
+.if d cov*ab-div \{\
+.	nf
+.	cov*ab-div
+.\}
+.sp 3
+.par@reset
+\\*[DY]
+.br
+.if \\n[cov*fn-height] \{\
+.	sp |(u;\\n[cov*page-length]-\\n[FM]\
+-\\n[cov*fn-height]-\\n[fn@sep-dist]>?\\n[nl])
+.	fn@print-sep
+.	ev nf
+.	cov*fn-div
+.	ev
+.	ie \\n[cov*rp-no] .rm cov*fn-div
+.	el \{\
+.		rn cov*fn-div fn@overflow-div
+.		nr fn@have-overflow 1
+.	\}
+.\}
+.als FS @FS
+.als FE @FE
+.\" If anything was printed below where the footer line is normally printed,
+.\" then that's an overflow.
+.if -\\n[FM]/2+1v+\\n[cov*page-length]<\\n[nl] .@error cover sheet overflow
+.pl \\n[cov*page-length]u
+.bp 1
+.if !\\n[cov*rp-no] .cov*tl-au-print
+.rs
+.sp 1
+..
+.de cov*draft-print
+.cov*tl-au-print
+.if d cov*ab-div \{\
+.	nf
+.	sp 2
+.	cov*ab-div
+.\}
+.sp 1
+..
+.de cov*tl-au-print
+.par@reset
+.nf
+.rs
+.sp 3
+.ce 9999
+.cov*tl-div
+.nr cov*i 1
+.nr cov*sp 1v
+.while \\n[cov*i]<=\\n[cov*n-au] \{\
+.	sp \\n[cov*sp]u
+.	cov*au-div!\\n[cov*i]
+.	ie d cov*ai-div!\\n[cov*i] \{\
+.		sp .5v	
+.		cov*ai-div!\\n[cov*i]
+.		nr cov*sp 1v
+.	\}
+.	el .nr cov*sp .5v
+.	nr cov*i +1
+.\}
+.ce 0
+..
+.nr cov*fn-height 0
+.nr cov*in-fn 0
+.\" start of footnote on cover
+.de cov*FS
+.if \\n[cov*in-fn] \{\
+.	@error nested FS
+.	FE
+.\}
+.nr cov*in-fn 1
+.ev fn
+.par@reset-env
+.da cov*fn-div
+.if !\\n[cov*fn-height] .ns
+.ie \\n[.$] .FP "\\$1" no
+.el .@LP
+..
+.de @div-end!cov*fn-div
+.cov*FE
+..
+.\" end of footnote on cover
+.de cov*FE
+.ie '\\n(.z'cov*fn-div' \{\
+.	br
+.	ev
+.	di
+.	nr cov*in-fn 0
+.	nr cov*fn-height +\\n[dn]
+.\}
+.el .@error FE without matching FS
+..
+.\" ***************************
+.\" ******** module pg ********
+.\" ***************************
+.\" Page-level formatting.
+.\" > 0 if we have a footnote on the current page
+.nr pg@fn-flag 0
+.nr pg@colw 0
+.nr pg@fn-colw 0
+.nr HM 1i
+.nr FM 1i
+.ds LF
+.ds CF
+.ds RF
+.ds LH
+.ds CH -\\n[PN]-
+.ds RH
+.ds pg*OH '\\*[LH]'\\*[CH]'\\*[RH]'
+.ds pg*EH '\\*[LH]'\\*[CH]'\\*[RH]'
+.ds pg*OF '\\*[LF]'\\*[CF]'\\*[RF]'
+.ds pg*EF '\\*[LF]'\\*[CF]'\\*[RF]'
+.de OH
+.ds pg*\\$0 "\\$*
+..
+.als EH OH
+.als OF OH
+.als EF OH
+.de PT
+.ie \\n%=1 .if \\n[pg*P1] .tl \\*[pg*OH]
+.el \{\
+.	ie o .tl \\*[pg*OH]
+.	el .tl \\*[pg*EH]
+.\}
+..
+.de BT
+.ie o .tl \\*[pg*OF]
+.el .tl \\*[pg*EF]
+..
+.nr pg*P1 0
+.de P1
+.nr pg*P1 1
+..
+.wh -\n[FM]u pg@bottom
+.wh -\n[FM]u/2u pg*footer
+.nr MINGW 2n
+.nr pg@ncols 1
+.de @MC
+.if !'\\n(.z'' .error-recover MC while diversion open
+.br
+.ie \\n[pg@ncols]>1 .pg@super-eject
+.el \{\
+.	\" flush out any floating keeps
+.	while \\n[kp@tail]>\\n[kp@head] \{\
+.		rs
+.		bp
+.	\}
+.\}
+.ie !\\n(.$ \{\
+.	nr pg@colw \\n[LL]*7/15
+.	nr pg*gutw \\n[LL]-(2*\\n[pg@colw])
+.	nr pg@ncols 2
+.\}
+.el \{\
+.	nr pg@colw (n;\\$1)<?\\n[LL]
+.	ie \\n[.$]<2 .nr pg*gutw \\n[MINGW]
+.	el .nr pg*gutw (n;\\$2)
+.	nr pg@ncols \\n[LL]-\\n[pg@colw]/(\\n[pg@colw]+\\n[pg*gutw])+1
+.	ie \\n[pg@ncols]>1 \
+.		nr pg*gutw \\n[LL]-(\\n[pg@ncols]*\\n[pg@colw])/(\\n[pg@ncols]-1)
+.	el .nr pg*gutw 0
+.\}
+.mk pg*col-top
+.ns
+.nr pg*col-num 0
+.nr pg@fn-colw \\n[pg@colw]*5/6
+.par@reset
+..
+.de 2C
+.MC
+..
+.de 1C
+.MC \\n[LL]u
+..
+.\" top of page macro
+.de pg@top
+.ch pg*footer -\\n[FM]u/2u
+.nr PN \\n%
+.nr pg*col-num 0
+.nr pg@fn-bottom-margin 0
+.nr pg*saved-po \\n[PO]
+.po \\n[PO]u
+.ev h
+.par@reset
+.sp (u;\\n[HM]/2)
+.PT
+.sp |\\n[HM]u
+.if d HD .HD
+.mk pg@header-bottom
+.ev
+.mk pg*col-top
+.pg*start-col
+..
+.de pg*start-col
+.\" Handle footnote overflow before floating keeps, because the keep
+.\" might contain an embedded footnote.
+.fn@top-hook
+.kp@top-hook
+.tbl@top-hook
+.ns
+..
+.de pg@cs-top
+.sp \\n[HM]u
+.\" move pg@bottom and pg*footer out of the way
+.ch pg@bottom \\n[.p]u*2u
+.ch pg*footer \\n[.p]u*2u
+.ns
+..
+.de pg@bottom
+.tbl@bottom-hook
+.if \\n[pg@fn-flag] .fn@bottom-hook
+.nr pg*col-num +1
+.ie \\n[pg*col-num]<\\n[pg@ncols] .pg*end-col
+.el .pg*end-page
+..
+.de pg*end-col
+'sp |\\n[pg*col-top]u
+.po (u;\\n[pg*saved-po]+(\\n[pg@colw]+\\n[pg*gutw]*\\n[pg*col-num]))
+.\"po +(u;\\n[pg@colw]+\\n[pg*gutw])
+.pg*start-col
+..
+.de pg*end-page
+.po \\n[pg*saved-po]u
+.\" Make sure we don't exit if there are still floats or footnotes left-over.
+.ie \\n[kp@head]<\\n[kp@tail]:\\n[fn@have-overflow] \{\
+.	\" Switching environments ensures that we don't get an unnecessary
+.	\" blank line at the top of the page.
+.	ev ne
+'	bp
+.	ev
+.\}
+.el \{\
+.	\" If the text has ended and there are no more footnotes or keeps, exit.
+.	if \\n[pg@text-ended] .ex
+.	if r pg*next-number \{\
+.		pn \\n[pg*next-number]
+.		rr pg*next-number
+.		if d pg*next-format \{\
+.			af PN \\*[pg*next-format]
+.			rm pg*next-format
+.		\}
+.	\}
+'	bp
+.\}
+..
+.\" pg@begin number format
+.de pg@begin
+.ie \\n[.$]>0 \{\
+.	nr pg*next-number (;\\$1)
+.	ie \\n[.$]>1 .ds pg*next-format \\$2
+.	el .rm pg*next-format
+.\}
+.el .rr pg*next-number
+.pg@super-eject
+..
+.\" print the footer line
+.de pg*footer
+.ev h
+.par@reset
+.BT
+.ev
+..
+.\" flush out any keeps or footnotes
+.de pg@super-eject
+.br
+.if !'\\n(.z'' .@error-recover diversion open while ejecting page
+.\" Make sure we stay in the end macro while there is still footnote overflow
+.\" left, or floating keeps.
+.while \\n[kp@tail]>\\n[kp@head]:\\n[pg@fn-flag] \{\
+.	rs
+.	bp
+.\}
+.bp
+..
+.nr pg@text-ended 0
+.de pg@end-text
+.br
+.nr pg@text-ended 1
+.pg@super-eject
+..
+.em pg@end-text
+.\" ***************************
+.\" ******** module fn ********
+.\" ***************************
+.\" Footnotes.
+.nr fn@sep-dist 8p
+.ev fn
+.\" Round it vertically
+.vs \n[fn@sep-dist]u
+.nr fn@sep-dist \n[.v]
+.ev
+.nr fn*text-num 0 1
+.nr fn*note-num 0 1
+.ds * \\*[par@sup-start]\En+[fn*text-num]\\*[par@sup-end]
+.nr fn*open 0
+.\" normal FS
+.de @FS
+.ie \\n[.$] .fn*do-FS "\\$1" no
+.el \{\
+.	ie \\n[fn*text-num]>\\n[fn*note-num] .fn*do-FS \\n+[fn*note-num]
+.	el .fn*do-FS
+.\}
+..
+.\" Second argument of `no' means don't embellish the first argument.
+.de fn*do-FS
+.if \\n[fn*open] .@error-recover nested FS
+.nr fn*open 1
+.if \\n[.u] \{\
+.	\" Ensure that the first line of the footnote is on the same page
+.	\" as the reference.  I think this is minimal.
+.	ev fn
+.	nr fn*need 1v
+.	ev
+.	ie \\n[pg@fn-flag] .nr fn*need +\\n[fn:PD]
+.	el .nr fn*need +\\n[fn@sep-dist]
+.	ne \\n[fn*need]u+\\n[.V]u>?0
+.\}
+.ev fn
+.par@reset-env
+.fn*start-div
+.par@reset
+.ie \\n[.$] .FP \\$@
+.el .@LP
+..
+.de @FE
+.ie !\\n[fn*open] .@error FE without FS
+.el \{\
+.	nr fn*open 0
+.	br
+.	ev
+.	fn*end-div
+.\}
+..
+.nr fn@have-overflow 0
+.\" called at the top of each column
+.de fn@top-hook
+.nr fn*max-width 0
+.nr fn*page-bottom-pos 0-\\n[FM]-\\n[pg@fn-bottom-margin]
+.ch pg@bottom \\n[fn*page-bottom-pos]u
+.if \\n[fn@have-overflow] \{\
+.	nr fn@have-overflow 0
+.	fn*start-div
+.	ev nf
+.	fn@overflow-div
+.	ev
+.	fn*end-div
+.\}
+..
+.\" This is called at the bottom of the column if pg@fn-flag is set.
+.de fn@bottom-hook
+.nr pg@fn-flag 0
+.nr fn@have-overflow 0
+.nr fn@bottom-pos \\n[.p]-\\n[FM]-\\n[pg@fn-bottom-margin]+\\n[.v]
+.ev fn
+.nr fn@bottom-pos -\\n[.v]
+.ev
+.ie \\n[nl]+\\n[fn@sep-dist]+\n[.V]>\\n[fn@bottom-pos] \{\
+.	rn fn@div fn@overflow-div
+.	nr fn@have-overflow 1
+.\}
+.el \{\
+.	if \\n[pg@ncols]>1 \
+.		if \\n[fn*max-width]>\\n[pg@fn-colw] \
+.			nr pg@fn-bottom-margin \\n[.p]-\\n[FM]-\\n[nl]+1v
+.	wh \\n[fn@bottom-pos]u fn*catch-overflow
+.	fn@print-sep
+.	ev nf
+.	fn@div
+.	rm fn@div
+.	ev
+.	if '\\n(.z'fn@overflow-div' \{\
+.		di
+.		nr fn@have-overflow \\n[dn]>0
+.	\}
+.	ch fn*catch-overflow
+.\}
+..
+.de fn*catch-overflow
+.di fn@overflow-div
+..
+.nr fn*embed-count 0
+.de @div-end!fn@div
+.br
+.if '\\n[.ev]'fn' .ev
+.fn*end-div
+.nr fn*open 0
+..
+.als @div-end!fn*embed-div @div-end!fn@div
+.de fn*start-div
+.ie '\\n(.z'' \{\
+.	da fn@div
+.	if !\\n[pg@fn-flag] .ns
+.\}
+.el .di fn*embed-div
+..
+.de fn*end-div
+.ie '\\n(.z'fn@div' \{\
+.	di
+.	nr fn*page-bottom-pos -\\n[dn]
+.	nr fn*max-width \\n[fn*max-width]>?\\n[dl]
+.	if !\\n[pg@fn-flag] .nr fn*page-bottom-pos -\\n[fn@sep-dist]
+.	nr pg@fn-flag 1
+.	nr fn*page-bottom-pos \\n[nl]-\\n[.p]+\n[.V]>?\\n[fn*page-bottom-pos]
+.	ch pg@bottom \\n[fn*page-bottom-pos]u
+.\}
+.el \{\
+.	ie '\\n(.z'fn*embed-div' \{\
+.	di
+.		rn fn*embed-div fn*embed-div!\\n[fn*embed-count]
+\!.		fn*embed-start \\n[fn*embed-count]
+.		rs
+'		sp (u;\\n[dn]+\\n[fn@sep-dist]+\\n[.V])
+\!.		fn*embed-end
+.		nr fn*embed-count +1
+.	\}
+.	el \{\
+.		ev fn
+.		@error-recover unclosed diversion within footnote
+.	\}
+.\}
+..
+.de fn*embed-start
+.ie '\\n(.z'' \{\
+.	fn*start-div
+.	ev nf
+.	fn*embed-div!\\$1
+.	rm fn*embed-div!\\$1
+.	ev
+.	fn*end-div
+.	di fn*null
+.\}
+.el \{\
+\!.	fn*embed-start \\$1
+.	rs
+.\}
+..
+.de fn*embed-end
+.ie '\\n(.z'fn*null' \{\
+.	di
+.	rm fn*null
+.\}
+.el \!.fn*embed-end
+..
+.\" It's important that fn@print-sep use up exactly fn@sep-dist vertical space.
+.de fn@print-sep
+.ev fn
+.in 0
+.vs \\n[fn@sep-dist]u
+\D'l 1i 0'
+.br
+.ev
+..
+.\" ***************************
+.\" ******** module kp ********
+.\" ***************************
+.\" Keeps.
+.de KS
+.br
+.di kp*div
+..
+.de KF
+.if !'\\n(.z'' .@error-recover KF while open diversion
+.di kp*fdiv
+.ev k
+.par@reset-env
+.par@reset
+..
+.de KE
+.ie '\\n(.z'kp*div' .kp*end
+.el \{\
+.	ie '\\n(.z'kp*fdiv' .kp*fend
+.	el .@error KE without KS or KF
+.\}
+..
+.de @div-end!kp*div
+.kp*end
+..
+.de @div-end!kp*fdiv
+.kp*fend
+..
+.de kp*need
+.ie '\\n(.z'' .ds@need \\$1
+.el \!.kp*need \\$1
+..
+.\" end non-floating keep
+.de kp*end
+.br
+.di
+.kp*need \\n[dn]
+.ev nf
+.kp*div
+.ev
+.rm kp*div
+..
+.\" Floating keeps.
+.nr kp@head 0
+.nr kp@tail 0
+.\" end floating keep
+.de kp*fend
+.br
+.ev
+.di
+.ie \\n[.t]-(\\n[.k]>0*1v)>\\n[dn] \{\
+.	br
+.	ev nf
+.	kp*fdiv
+.	rm kp*fdiv
+.	ev
+.\}
+.el \{\
+.	rn kp*fdiv kp*div!\\n[kp@tail]
+.	nr kp*ht!\\n[kp@tail] 0\\n[dn]
+.	nr kp@tail +1
+.\}
+..
+.\" top of page processing for KF
+.nr kp*doing-top 0
+.de kp@top-hook
+.if !\\n[kp*doing-top] \{\
+.	nr kp*doing-top 1
+.	kp*do-top
+.	nr kp*doing-top 0
+.\}
+..
+.de kp*do-top
+.\" If the first keep won't fit, only force it out if we haven't had a footnote
+.\" and we're at the top of the page.
+.nr kp*force \\n[pg@fn-flag]=0&(\\n[nl]<=\\n[pg@header-bottom])
+.nr kp*fits 1
+.while \\n[kp@tail]>\\n[kp@head]&\\n[kp*fits] \{\
+.	ie \\n[.t]>\\n[kp*ht!\\n[kp@head]]:\\n[kp*force] \{\
+.		nr kp*force 0
+.		\" It's important to advance kp@head before bringing
+.		\" back the keep, so that if the last line of the
+.		\" last keep springs the bottom of page trap, a new
+.		\" page will not be started unnecessarily.
+.		rn kp*div!\\n[kp@head] kp*temp
+.		nr kp@head +1
+.		ev nf
+.		kp*temp
+.		ev
+.		rm kp*temp
+.	\}
+.	el .nr kp*fits 0
+.\}
+..
+.\" ***************************
+.\" ******** module ds ********
+.\" ***************************
+.\" Displays and non-floating keeps.
+.de DE
+.ds*end!\\n[\\n[.ev]:ds-type]
+.nr \\n[.ev]:ds-type 0
+..
+.de ds@auto-end
+.if \\n[\\n[.ev]:ds-type] \{\
+.	@error automatically terminating display
+.	DE
+.\}
+..
+.de @div-end!ds*div
+.ie \\n[\\n[.ev]:ds-type] .DE
+.el .ds*end!2
+..
+.de ds*end!0
+.@error DE without DS, ID, CD, LD or BD
+..
+.de LD
+.br
+.nr \\n[.ev]:ds-type 1
+.par@reset
+.nf
+.sp \\n[DD]u
+..
+.de ID
+.LD
+.ie \\n[.$] .in +(n;\\$1)
+.el .in +\\n[DI]u
+..
+.de CD
+.LD
+.ce 9999
+..
+.de RD
+.LD
+.rj 9999
+..
+.de ds*common-end
+.par@reset
+.sp \\n[DD]u
+..
+.als ds*end!1 ds*common-end
+.de BD
+.LD
+.nr \\n[.ev]:ds-type 2
+.di ds*div
+..
+.de ds*end!2
+.br
+.ie '\\n(.z'ds*div' \{\
+.	di
+.	nf
+.	in (u;\\n[.l]-\\n[dl]/2)
+.	ds*div
+.	rm ds*div
+.	ds*common-end
+.\}
+.el .@error-recover mismatched DE
+..
+.de DS
+.br
+.di ds*div
+.ie '\\$1'B' \{\
+.	LD
+.	nr \\n[.ev]:ds-type 4
+.\}
+.el \{\
+.	ie '\\$1'L' .LD
+.	el \{\
+.		ie '\\$1'C' .CD
+.		el \{\
+.			ie '\\$1'R' .RD
+.			el \{\
+.				ie '\\$1'I' .ID \\$2
+.				el .ID \\$1
+.			\}
+.		\}
+.	\}
+.	nr \\n[.ev]:ds-type 3
+.\}
+..
+.de ds@need
+.if '\\n(.z'' \{\
+.	while \\n[.t]<=(\\$1)&(\\n[nl]>\\n[pg@header-bottom]) \{\
+.		rs
+'		sp \\n[.t]u
+.	\}
+.\}
+..
+.de ds*end!3
+.br
+.ie '\\n(.z'ds*div' \{\
+.	di
+.	ds@need \\n[dn]
+.	ev nf
+.	ds*div
+.	ev
+.	rm ds*div
+.	ds*common-end
+.\}
+.el .@error-recover mismatched DE
+..
+.de ds*end!4
+.ie '\\n(.z'ds*div' \{\
+.	br
+.	di
+.	nf
+.	in (u;\\n[.l]-\\n[dl]/2)
+.	ds@need \\n[dn]
+.	ds*div
+.	rm ds*div
+.	ds*common-end
+.\}
+.el .@error-recover mismatched DE
+..
+.\" ****************************
+.\" ******** module par ********
+.\" ****************************
+.\" Paragraph-level formatting.
+.\" Load time initialization.
+.de par@load-init
+.\" PS and VS might have been set on the command-line
+.if !rPS .nr PS 10
+.if !rLL .nr LL 6i
+.ll \\n[LL]u
+.\" don't set LT so that it can be defaulted from LL
+.ie rLT .lt \\n[LT]u
+.el .lt \\n[LL]u
+.ps \\n[PS]
+.\" don't set VS so that it can be defaulted from PS
+.ie rVS .par*vs \\n[VS]
+.el .par*vs \\n[PS]+2
+.if dFAM .fam \\*[FAM]
+.if !rHY .nr HY 14
+.hy \\n[HY]
+.TA
+..
+.de par*vs
+.\" If it's too big to be in points, treat it as units.
+.ie (p;\\$1)>=40p .vs (u;\\$1)
+.el .vs (p;\\$1)
+..
+.de par@ab-indent
+.nr 0:li (u;\\n[LL]/12)
+.nr 0:ri \\n[0:li]
+..
+.de par*env-init
+.aln \\n[.ev]:PS PS
+.aln \\n[.ev]:VS VS
+.aln \\n[.ev]:LL LL
+.aln \\n[.ev]:MCLL LL
+.aln \\n[.ev]:LT LT
+.aln \\n[.ev]:MCLT LT
+.aln \\n[.ev]:PI PI
+.aln \\n[.ev]:PD PD
+.ad \\n[par*adj]
+.par@reset-env
+..
+.\" happens when the first page begins
+.de par@init
+.if !rLT .nr LT \\n[LL]
+.if !rFL .nr FL \\n[LL]*5/6
+.if !rVS .nr VS \\n[PS]+2
+.if !rDI .nr DI .5i
+.if !rFPS .nr FPS \\n[PS]-2
+.if !rFVS .nr FVS \\n[FPS]+2
+.\" don't change environment 0
+.ev h
+.ps \\n[PS]
+.if !rQI .nr QI 5n
+.if !rPI .nr PI 5n
+.par*vs \\n[VS]
+.if !rPD .nr PD .3v>?\n(.V
+.if !rDD .nr DD .5v>?\n(.V
+.if !rFI .nr FI 2n
+.if !rFPD .nr FPD \\n[PD]/2
+.ev
+.if !dFAM .ds FAM \\n[.fam]
+.nr par*adj \\n[.j]
+.par*env-init
+.ev h
+.par*env-init
+.ev
+.ev fn
+.par*env-init
+.ev
+.ev k
+.par*env-init
+.ev
+.aln 0:MCLL pg@colw
+.aln 0:MCLT pg@colw
+.aln k:MCLL pg@colw
+.aln k:MCLT pg@colw
+.aln fn:PS FPS
+.aln fn:VS FVS
+.aln fn:LL FL
+.aln fn:LT FL
+.aln fn:PI FI
+.aln fn:PD FPD
+.aln fn:MCLL pg@fn-colw
+.aln fn:MCLT pg@fn-colw
+..
+.de par@reset-env
+.nr \\n[.ev]:il 0
+.nr \\n[.ev]:li 0
+.nr \\n[.ev]:ri 0
+.nr \\n[.ev]:ai \\n[\\n[.ev]:PI]
+.nr \\n[.ev]:pli 0
+.nr \\n[.ev]:pri 0
+.nr \\n[.ev]:ds-type 0
+..
+.\" par@reset
+.de par@reset
+.br
+.ce 0
+.rj 0
+.ul 0
+.fi
+.ie \\n[pg@ncols]>1 \{\
+.	ll (u;\\n[\\n[.ev]:MCLL]-\\n[\\n[.ev]:ri]-\\n[\\n[.ev]:pri])
+.	lt \\n[\\n[.ev]:MCLT]u
+.\}
+.el \{\
+.	ll (u;\\n[\\n[.ev]:LL]-\\n[\\n[.ev]:ri]-\\n[\\n[.ev]:pri])
+.	lt \\n[\\n[.ev]:LT]u
+.\}
+.in (u;\\n[\\n[.ev]:li]+\\n[\\n[.ev]:pli])
+.ft 1
+.fam \\*[FAM]
+.ps \\n[\\n[.ev]:PS]
+.par*vs \\n[\\n[.ev]:VS]
+.ls 1
+.TA
+.hy \\n[HY]
+..
+.de @RT
+.nr \\n[.ev]:pli 0
+.nr \\n[.ev]:pri 0
+.par@reset
+..
+.\" This can be redefined by the user.
+.de TA
+.ta T 5n
+..
+.de par*start
+.ds@auto-end
+.nr \\n[.ev]:pli \\$1
+.nr \\n[.ev]:pri \\$2
+.par@reset
+.sp \\n[\\n[.ev]:PD]u
+.ne 1v+\\n(.Vu
+..
+.de par@finish
+.nr \\n[.ev]:pli 0
+.nr \\n[.ev]:pri 0
+.par@reset
+..
+.\" normal LP
+.de @LP
+.par*start 0 0
+.nr \\n[.ev]:ai \\n[\\n[.ev]:PI]
+..
+.de @PP
+.par*start 0 0
+.nr \\n[.ev]:ai \\n[\\n[.ev]:PI]
+.ti +\\n[\\n[.ev]:ai]u
+..
+.de @QP
+.nr \\n[.ev]:ai \\n[\\n[.ev]:PI]
+.par*start \\n[QI] \\n[QI]
+..
+.de @XP
+.par*start \\n[\\n[.ev]:PI] 0
+.ti -\\n[\\n[.ev]:PI]u
+..
+.de @IP
+.if \\n[.$]>1 .nr \\n[.ev]:ai (n;\\$2)
+.par*start \\n[\\n[.ev]:ai] 0
+.if !'\\$1'' \{\
+.	\" Divert the label so as to freeze any spaces.
+.	di par*label
+.	par*push-tag-env
+\&\\$1
+.	par*pop-tag-env
+.	di
+.	chop par*label
+.	ti -\\n[\\n[.ev]:ai]u
+.	ie \\n[dl]+1n<=\\n[\\n[.ev]:ai] \\*[par*label]\h'|\\n[\\n[.ev]:ai]u'\c
+.	el \{\
+\\*[par*label]
+.	br
+.	\}
+.	rm par*label
+.\}
+..
+.\" We don't want margin characters to be attached when we divert
+.\" the tag.  Since there's no way to save and restore the current
+.\" margin character, we have to switch to a new environment, taking
+.\" what we need of the old environment with us.
+.de par*push-tag-env
+.nr par*saved-font \\n[.f]
+.nr par*saved-size \\n[.s]z
+.nr par*saved-ss \\n[.ss]
+.ds par*saved-fam \\n[.fam]
+.ev par
+.nf
+.TA
+.ft \\n[par*saved-font]
+.ps \\n[par*saved-size]u
+.ss \\n[par*saved-ss]
+.fam \\*[par*saved-fam]
+..
+.de par*pop-tag-env
+.ev
+..
+.de @RS
+.br
+.nr \\n[.ev]:li!\\n[\\n[.ev]:il] \\n[\\n[.ev]:li]
+.nr \\n[.ev]:ri!\\n[\\n[.ev]:il] \\n[\\n[.ev]:ri]
+.nr \\n[.ev]:ai!\\n[\\n[.ev]:il] \\n[\\n[.ev]:ai]
+.nr \\n[.ev]:pli!\\n[\\n[.ev]:il] \\n[\\n[.ev]:pli]
+.nr \\n[.ev]:pri!\\n[\\n[.ev]:il] \\n[\\n[.ev]:pri]
+.nr \\n[.ev]:il +1
+.nr \\n[.ev]:li +\\n[\\n[.ev]:ai]
+.nr \\n[.ev]:ai \\n[\\n[.ev]:PI]
+.par@reset
+..
+.de @RE
+.br
+.ie \\n[\\n[.ev]:il] \{\
+.	nr \\n[.ev]:il -1
+.	nr \\n[.ev]:ai \\n[\\n[.ev]:ai!\\n[\\n[.ev]:il]]
+.	nr \\n[.ev]:li \\n[\\n[.ev]:li!\\n[\\n[.ev]:il]]
+.	nr \\n[.ev]:ri \\n[\\n[.ev]:ri!\\n[\\n[.ev]:il]]
+.	nr \\n[.ev]:pli \\n[\\n[.ev]:pli!\\n[\\n[.ev]:il]]
+.	nr \\n[.ev]:pri \\n[\\n[.ev]:pri!\\n[\\n[.ev]:il]]
+.\}
+.el .@error unbalanced \\$0
+.par@reset
+..
+.de @QS
+.br
+.nr \\n[.ev]:li!\\n[\\n[.ev]:il] \\n[\\n[.ev]:li]
+.nr \\n[.ev]:ri!\\n[\\n[.ev]:il] \\n[\\n[.ev]:ri]
+.nr \\n[.ev]:ai!\\n[\\n[.ev]:il] \\n[\\n[.ev]:ai]
+.nr \\n[.ev]:pli!\\n[\\n[.ev]:il] \\n[\\n[.ev]:pli]
+.nr \\n[.ev]:pri!\\n[\\n[.ev]:il] \\n[\\n[.ev]:pri]
+.nr \\n[.ev]:il +1
+.nr \\n[.ev]:li +\\n[QI]
+.nr \\n[.ev]:ri +\\n[QI]
+.nr \\n[.ev]:ai \\n[\\n[.ev]:PI]
+.par@reset
+..
+.als @QE @RE
+.\" start boxed text
+.de B1
+.br
+.di par*box-div
+.nr \\n[.ev]:li +1n
+.nr \\n[.ev]:ri +1n
+.nr par*box-in \\n[.in]
+.\" remember what 1n is, just in case the point size changes
+.nr par*box-n 1n
+.in +1n
+.ll -1n
+.lt -1n
+.ti \\n[par*box-in]u+1n
+..
+.de @div-end!par*box-div
+.B2
+..
+.\" end boxed text
+.\" Postpone the drawing of the box until we're in the top-level diversion,
+.\" in case there's a footnote inside the box.
+.de B2
+.ie '\\n(.z'par*box-div' \{\
+.	br
+.	if \n[.V]>.25m .sp
+.	di
+.	if \n[.V]>.25m .sp
+.	ds@need \\n[dn]
+.	par*box-mark-top
+.	ev nf
+.	par*box-div
+.	ev
+.	nr \\n[.ev]:ri -\\n[par*box-n]
+.	nr \\n[.ev]:li -\\n[par*box-n]
+.	in -\\n[par*box-n]u
+.	ll +\\n[par*box-n]u
+.	lt +\\n[par*box-n]u
+.	par*box-draw \\n[.i]u \\n[.l]u-(\\n[.H]u==1n*1n)
+.\}
+.el .@error B2 without B1
+..
+.de par*box-mark-top
+.ie '\\n[.z]'' \{\
+.	rs
+.	mk par*box-top
+.\}
+.el \!.par*box-mark-top
+..
+.de par*box-draw
+.ie '\\n[.z]'' \{\
+.	nr par*box-in \\n[.i]
+.	nr par*box-ll \\n[.l]
+.	nr par*box-vpt \\n[.vpt]
+.	nr par*box-ad \\n[.j]
+.	ad l
+.	vpt 0
+.	in \\$1
+.	ll \\$2
+\v'-1v+.25m'\
+\D'l (u;\\n[.l]-\\n[.i]) 0'\
+\D'l 0 |\\n[par*box-top]u'\
+\D'l -(u;\\n[.l]-\\n[.i]) 0'\
+\D'l 0 -|\\n[par*box-top]u'
+.	br
+.	sp -1
+.	in \\n[par*box-in]u
+.	ll \\n[par*box-ll]u
+.	vpt \\n[par*box-vpt]
+.	ad \\n[par*box-ad]
+.\}
+.el \!.par*box-draw \\$1 \\$2
+..
+.de @SH
+.par@finish
+.\" Keep together the heading and the first two lines of the next paragraph.
+.ne 3v+\\n[\\n[.ev]:PD]u+\\n(.Vu
+.sp 1
+.ft B
+..
+.\" TL, AU, and AI are aliased to these in cov*ab-init.
+.de par@TL
+.par@finish
+.sp 1
+.ft B
+.ps +2
+.vs +3p
+.ce 9999
+..
+.de par@AU
+.par@finish
+.sp 1
+.ft I
+.ce 9999
+..
+.de par@AI
+.par@finish
+.sp .5
+.ce 9999
+..
+.\" In paragraph macros.
+.de NL
+.ps \\n[\\n[.ev]:PS]
+..
+.de SM
+.ps -2
+..
+.de LG
+.ps +2
+..
+.de R
+.ft R
+..
+.\" par*define-font-macro macro font
+.de par*define-font-macro
+.de \\$1
+.ie \\\\n[.$] \{\
+.	nr par*prev-font \\\\n[.f]
+\&\\\\$3\f[\\$2]\\\\$1\f[\\\\n[par*prev-font]]\\\\$2
+.\}
+.el .ft \\$2
+\\..
+..
+.par*define-font-macro B B
+.par*define-font-macro I I
+.par*define-font-macro BI BI
+.par*define-font-macro CW CR
+.\" underline a word
+.de UL
+\Z'\\$1'\v'.25m'\D'l \w'\\$1'u 0'\v'-.25m'\\$2
+..
+.\" box a word
+.de BX
+.nr par*bxw \w'\\$1'+.4m
+\Z'\v'.25m'\D'l 0 -1m'\D'l \\n[par*bxw]u 0'\D'l 0 1m'\D'l -\\n[par*bxw]u 0''\
+\Z'\h'.2m'\\$1'\
+\h'\\n[par*bxw]u'
+..
+.\" The first time UX is used, put a registered mark after it.
+.ds par*ux-rg \(rg
+.de UX
+\s[\\n[.s]*8u/10u]UNIX\s0\\$1\\*[par*ux-rg]
+.ds par*ux-rg
+..
+.ds par@sup-start \v'-.9m\s'\En[.s]*7u/10u'+.7m'
+.als { par@sup-start
+.ds par@sup-end \v'-.7m\s0+.9m'
+.als } par@sup-end
+.\" footnote paragraphs
+.\" FF is the footnote format
+.nr FF 0
+.\" This can be redefined. It gets a second argument of `no' if the first
+.\" argument was supplied by the user, rather than automatically.
+.de FP
+.br
+.if !d par*fp!\\n[FF] \{\
+.	@error unknown footnote format `\\n[FF]'
+.	nr FF 0
+.\}
+.ie '\\$2'no' .par*fp!\\n[FF]-no "\\$1"
+.el .par*fp!\\n[FF] "\\$1"
+..
+.de par*fp!0
+.@PP
+\&\\*[par@sup-start]\\$1\\*[par@sup-end]\ \c
+..
+.de par*fp!0-no
+.@PP
+\&\\$1\ \c
+..
+.de par*fp!1
+.@PP
+\&\\$1.\ \c
+..
+.de par*fp!1-no
+.@PP
+\&\\$1\ \c
+..
+.de par*fp!2
+.@LP
+\&\\$1.\ \c
+..
+.de par*fp!2-no
+.@LP
+\&\\$1\ \c
+..
+.de par*fp!3
+.@IP "\\$1." (u;\\n[\\n[.ev]:PI]*2)
+..
+.de par*fp!3-no
+.@IP "\\$1" (u;\\n[\\n[.ev]:PI]*2)
+..
+.\" ***************************
+.\" ******** module nh ********
+.\" ***************************
+.\" Numbered headings.
+.\" nh*hl is the level of the last heading
+.nr nh*hl 0
+.\" numbered heading
+.de @NH
+.ie '\\$1'S' \{\
+.	shift
+.	nr nh*hl 0
+.	while \\n[.$] \{\
+.		nr nh*hl +1
+.		nr H\\n[nh*hl] 0\\$1
+.		shift
+.	\}
+.	if !\\n[nh*hl] \{\
+.		nr H1 1
+.		nr nh*hl 1
+.		@error missing arguments to .NH S
+.	\}
+.\}
+.el \{\
+.	nr nh*ohl \\n[nh*hl]
+.	ie \\n[.$] \{\
+.		nr nh*hl 0\\$1
+.		ie \\n[nh*hl]<=0 \{\
+.			nr nh*ohl 0
+.			nr nh*hl 1
+.		\}
+.		el \{\
+.			if \\n[nh*hl]-\\n[nh*ohl]>1 \
+.				@warning .NH \\n[nh*ohl] followed by .NH \\n[nh*hl]
+.		\}
+.	\}
+.	el .nr nh*hl 1
+.	while \\n[nh*hl]>\\n[nh*ohl] \{\
+.		nr nh*ohl +1
+.		nr H\\n[nh*ohl] 0
+.	\}
+.	nr H\\n[nh*hl] +1
+.\}
+.ds SN
+.nr nh*i 0
+.while \\n[nh*i]<\\n[nh*hl] \{\
+.	nr nh*i +1
+.	as SN \\n[H\\n[nh*i]].
+.\}
+.SH
+\\*[SN]
+..
+.\" ****************************
+.\" ******** module toc ********
+.\" ****************************
+.\" Table of contents generation.
+.de @XS
+.da toc*div
+.ev h
+.ie \\n[.$] .XA "\\$1"
+.el .XA
+..
+.de @div-end!toc*div
+.XE
+..
+.de XA
+.ie '\\n(.z'toc*div' \{\
+.	if d toc*num .toc*end-entry
+.	ie \\n[.$] \{\
+.		ie '\\$1'no' .ds toc*num
+.		el .ds toc*num "\\$1
+.	\}
+.	el .ds toc*num \\n[PN]
+.	br
+.	par@reset
+.	na
+.	ll -8n
+.	in (n;0\\$2)
+.\}
+.el .@error XA without XS
+..
+.de XE
+.ie '\\n(.z'toc*div' \{\
+.	if d toc*num .toc*end-entry
+.	ev
+.	di
+.\}
+.el .@error XS without XE
+..
+.de toc*end-entry
+\\a\\t\\*[toc*num]
+.br
+.rm toc*num
+..
+.de PX
+.1C
+.if !'\\$1'no' \{\
+.	ce 1
+.	ps \\n[PS]+2
+.	ft B
+\\*[TOC]
+.	ft
+.	ps
+.\}
+.nf
+.char \[toc*leader-char] .\h'1m'
+.lc \[toc*leader-char]
+.ta (u;\\n[.l]-\\n[.i]-\w'000') (u;\\n[.l]-\\n[.i])R
+.sp 2
+.toc*div
+.par@reset
+..
+.\" print the table of contents on page i
+.de TC
+.P1
+.pg@begin 1 i
+.PX \\$1
+..
+.\" ****************************
+.\" ******** module eqn ********
+.\" ****************************
+.\" Eqn support.
+.de EQ
+..
+.de EN
+..
+.de @EQ
+.br
+.ds eqn*num "\\$2
+.ie '\\$1'L' .nr eqn*type 0
+.el \{\
+.	ie '\\$1'I' .nr eqn*type 1
+.	el \{\
+.		nr eqn*type 2
+.		if !'\\$1'C' .ds eqn*num "\\$1
+.	\}
+.\}
+.di eqn*div
+.in 0
+.nf
+..
+.de @div-end!eqn*div
+.@EN
+..
+.\" Note that geqn mark and lineup work correctly in centered equations.
+.de @EN
+.ie !'\\n(.z'eqn*div' .@error-recover mismatched EN
+.el \{\
+.	br
+.	di
+.	nr eqn*have-num 0
+.	if !'\\*[eqn*num]'' .nr eqn*have-num 1
+.	if \\n[dl]:\\n[eqn*have-num] \{\
+.		sp \\n[DD]u
+.		par@reset
+.		ds eqn*tabs \\n[.tabs]
+.		nf
+.		ie \\n[dl] \{\
+.			ds@need \\n[dn]u-1v+\n[.V]u
+.			chop eqn*div
+.			ie \\n[eqn*type]=0 \{\
+.				ta (u;\\n[.l]-\\n[.i])R
+\\*[eqn*div]\t\\*[eqn*num]
+.			\}
+.			el \{\
+.				ie \\n[eqn*type]=1 .ta \\n[DI]u \
+(u;\\n[.l]-\\n[.i])R
+.				el .ta (u;\\n[.l]-\\n[.i]/2)C \
+(u;\\n[.l]-\\n[.i])R
+\t\\*[eqn*div]\t\\*[eqn*num]
+.			\}
+.		\}
+.		el \{\
+.			ta (u;\\n[.l]-\\n[.i])R
+\t\\*[eqn*num]
+.		\}
+.		sp \\n[DD]u
+.		ta \\*[eqn*tabs]
+.	\}
+.	fi
+.\}
+..
+.\" ****************************
+.\" ******** module tbl ********
+.\" ****************************
+.\" Tbl support.
+.nr tbl*have-header 0
+.\" This gets called if TS occurs before the first paragraph.
+.de TS
+.LP
+.\" cov*ab-init aliases TS to @TS
+\\*[TS]\\
+..
+.de @TS
+.sp \\n[DD]u
+.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*print-header
+.ev nf
+.tbl*header-div
+.ev
+.mk #T
+..
+.de TH
+.ie '\\n[.z]'tbl*header-div' \{\
+.	nr T. 0
+.	T#
+.	br
+.	di
+.	ie \\n[dn]+\\n[FM]+\\n[HM]+2v>=\\n[.p] \{\
+.		@error ridiculously long table header
+.		ds@need \\n[dn]
+.		tbl*print-header
+.	\}
+.	el \{\
+.		nr tbl*header-ht \\n[dn]
+.		ds@need \\n[dn]u+1v
+.		tbl*print-header
+.		nr tbl*have-header 1
+.	\}
+.\}
+.el .@error-recover .TH without .TS H
+..
+.de @div-end!tbl*header-div
+.TH
+.TE
+..
+.de TE
+.ie '\\n(.z'tbl*header-div' .@error-recover .TS H but no .TH before .TE
+.el \{\
+.	nr tbl*have-header 0
+.	sp \\n[DD]u
+.\}
+.\" reset tabs
+.TA
+..
+.de tbl@bottom-hook
+.if \\n[tbl*have-header] \{\
+.	nr T. 1
+.	T#
+.\}
+..
+.de T&
+..
+.\" ****************************
+.\" ******** module pic ********
+.\" ****************************
+.\" Pic support.
+.\" PS height width
+.de PS
+.br
+.sp \\n[DD]u
+.ie \\n[.$]<2 .@error bad arguments to PS (not preprocessed with pic?)
+.el \{\
+.	ds@need (u;\\$1)+1v
+.	in +(u;\\n[.l]-\\n[.i]-\\$2/2>?0)
+.\}
+..
+.de PE
+.par@reset
+.sp \\n[DD]u+.5m
+..
+.\" ****************************
+.\" ******** module ref ********
+.\" ****************************
+.\" Refer support.
+.de ]-
+.rm [A [B [C [D [E [G [I [J [N [O [P [Q [R [S [T [V
+.rm ref*string
+..
+.\" Other
+.ds ref*spec!0 Q A T1 S V N P I C D O
+.\" Journal article
+.ds ref*spec!1 Q A T2 J S V N P I C D O
+.\" Book
+.ds ref*spec!2 Q A T1 S V P I C D O
+.\" Article within book
+.ds ref*spec!3 Q A T2 B E S V P I C D O
+.\" Tech report
+.ds ref*spec!4 Q A T2 R G P I C D O
+.\" ][ type
+.de ][
+.if r [T \{\
+.	als [T1 [T
+.	als [T2 [T
+.\}
+.ie d ref*spec!\\$1 .ref*build \\*[ref*spec!\\$1]
+.el \{\
+.	@error unknown reference type `\\$1'
+.	ref*build \\*[ref*spec!0]
+.\}
+.ref*print
+.rm ref*string
+.rm [F [T1 [T2
+..
+.\" start of reference number
+.ds [. \\*[par@sup-start]
+.\" end of reference number
+.ds .] \\*[par@sup-end]
+.\" period before reference
+.ds <. .
+.\" period after reference
+.ds >. \" empty
+.\" comma before reference
+.ds <, ,
+.\" comma after reference
+.ds >, \" empty
+.\" start collected references
+.de ]<
+.als ref*print ref*end-print
+.SH
+\&\\*[REFERENCES]
+.par@reset
+..
+.\" end collected references
+.de ]>
+.par@finish
+.als ref*print ref*normal-print
+..
+.de ref*normal-print
+.ie d [F .FS "\\*([.\\*([F\\*(.]"
+.el .FS \&
+\\*[ref*string]
+.FE
+..
+.de ref*end-print
+.ie d [F .IP "\\*([F."
+.el .XP
+\\*[ref*string]
+..
+.als ref*print ref*normal-print
+.de ref*build
+.rm ref*string ref*post-punct
+.nr ref*suppress-period 1
+.while \\n[.$] \{\
+.	if d [\\$1 \{\
+.		ie d ref*add-\\$1 .ref*add-\\$1
+.		el .ref*add-dflt \\$1
+.	\}
+.	shift
+.\}
+.\" now add a final period
+.ie d ref*string \{\
+.	if !\\n[ref*suppress-period] .as ref*string .
+.	if d ref*post-punct \{\
+.		as ref*string "\\*[ref*post-punct]
+.		rm ref*post-punct
+.	\}
+.\}
+.el .ds ref*string
+..
+.de ref*add-T1
+.ref*field T , "\fI" "" "\fP"
+.if r [T .nr ref*suppress-period \\n([T
+..
+.de ref*add-T2
+.ref*field T , "\\*Q" "" "\\*U"
+.if r [T .nr ref*suppress-period \\n([T
+..
+.de ref*add-P
+.ie \\n([P>0 .ref*field P , "pp. "
+.el .ref*field P , "p. "
+..
+.de ref*add-J
+.ref*field J , \fI "" \fP
+..
+.de ref*add-D
+.ref*field D "" ( )
+..
+.de ref*add-E
+.ref*field E , "ed. "
+..
+.de ref*add-G
+.ref*field G "" ( )
+..
+.de ref*add-B
+.ref*field B "" "in \fI" "" \fP
+..
+.de ref*add-O
+.ref*field O .
+.ie r [O .nr ref*suppress-period \\n([O
+.el .nr ref*suppress-period 1
+..
+.de ref*add-A
+.ref*field A ,
+.if r [A .nr ref*suppress-period \\n([A
+..
+.de ref*add-dflt
+.ref*field \\$1 ,
+..
+.\" First argument is the field letter.
+.\" Second argument is the punctuation character to use to separate this field
+.\" from the previous field.
+.\" Third argument is a string with which to prefix this field.
+.\" Fourth argument is a string with which to postfix this field.
+.\" Fifth argument is a string to add after the punctuation character supplied
+.\" by the next field.
+.de ref*field
+.if d ref*string \{\
+.	ie d ref*post-punct \{\
+.		as ref*string "\\$2\\*[ref*post-punct] \"
+.		rm ref*post-punct
+.	\}
+.	el .as ref*string "\\$2 \"
+.\}
+.as ref*string "\\$3\\*([\\$1\\$4
+.if \\n[.$]>4 .ds ref*post-punct "\\$5
+.nr ref*suppress-period 0
+..
+.\" ****************************
+.\" ******** module acc ********
+.\" ****************************
+.\" Accents and special characters.
+.ds Q \(lq
+.ds U \(rq
+.ds - \(em
+.\" Characters
+.\" The idea of this definition is for the top of the 3 to be at the x-height.
+.if !c\[yogh] .char \[yogh] \Z'\v'\w'x'*0-\En[rst]u'\s[\En[.s]*8u/10u]\
+\v'\w'3'*0+\En[rst]u'3\s0'\h'\w'\s[\En[.s]*8u/10u]3'u'
+.\" Accents
+.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'
+..
+.de acc*slash-def
+.ds \\$1 \Z'\h'(u;-\En[.w]-\w'\\$2'/2)'\
+\v'(u;\En[.cdp]-\En[.cht]+\En[rst]+\En[rsb]/2)'\\$2'
+..
+.de acc*prefix-def
+.ds \\$1 \Z'\h'(u;\w'x'-\w'\\$2'/2)'\\$2'
+..
+.acc*prefix-def ' \'
+.acc*prefix-def ` \`
+.acc*prefix-def ^ ^
+.acc*prefix-def , \(ac
+.acc*prefix-def : \(ad
+.acc*prefix-def ~ ~
+.\" improved accent marks
+.de AM
+.acc*over-def ' \'
+.acc*over-def ` \`
+.acc*over-def ^ ^
+.acc*over-def ~ ~
+.acc*over-def : \(ad
+.acc*over-def v \(ah
+.acc*over-def _ \(a-
+.acc*over-def o \(ao
+.acc*under-def , \(ac
+.acc*under-def . \s[\En[.s]*8u/10u]\v'.2m'.\v'-.2m'\s0
+.acc*under-def hook \(ho
+.acc*slash-def / /
+.char \[hooko] o\\\\*[hook]
+.ds q \[hooko]
+.ds 3 \[yogh]
+.ds D- \(-D\"			Icelandic uppercase eth
+.ds d- \(Sd\"			Icelandic lowercase eth
+.ds Th \(TP\"			Icelandic uppercase thorn
+.ds th \(Tp\"			Icelandic lowercase thorn
+.ds 8 \(ss\"			German double s
+.ds Ae \(AE\"			AE ligature
+.ds ae \(ae\"			ae ligature
+.ds Oe \(OE\"			OE ligature
+.ds oe \(oe\"			oe ligature
+.ds ? \(r?\"			upside down ?
+.ds ! \(r!\"			upside down !
+..
+.par@load-init
+.\" Make sure that no blank lines creep in at the end of this file.