1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
|
'\" t
.TH EQN 1 "17 December 2018" "groff 1.22.4"
.SH NAME
eqn \- format equations for troff or MathML
.
.
.\" Save and disable compatibility mode (for, e.g., Solaris 10/11).
.do nr eqn_C \n[.C]
.cp 0
.
.
.\" ====================================================================
.\" Legal Terms
.\" ====================================================================
.\"
.\" Copyright (C) 1989-2018 Free Software Foundation, Inc.
.\"
.\" Permission is granted to make and distribute verbatim copies of this
.\" manual provided the copyright notice and this permission notice are
.\" preserved on all copies.
.\"
.\" Permission is granted to copy and distribute modified versions of
.\" this manual under the conditions for verbatim copying, provided that
.\" the entire resulting derived work is distributed under the terms of
.\" a permission notice identical to this one.
.\"
.\" Permission is granted to copy and distribute translations of this
.\" manual into another language, under the above conditions for
.\" modified versions, except that this permission notice may be
.\" included in translations approved by the Free Software Foundation
.\" instead of in the original English.
.
.
.ie \n(.V<\n(.v \
. ds tx T\h'-.1667m'\v'.224m'E\v'-.224m'\h'-.125m'X
.el \
. ds tx TeX
.
.
.\" ====================================================================
.SH SYNOPSIS
.\" ====================================================================
.
.SY eqn
.OP \-rvCNR
.OP \-d xy
.OP \-T name
.OP \-M dir
.OP \-f F
.OP \-s n
.OP \-p n
.OP \-m n
.RI [ file
\&.\|.\|.\&]
.YS
.
.
.\" ====================================================================
.SH DESCRIPTION
.\" ====================================================================
.
This manual page describes the GNU version of
.BR eqn ,
which is part of the groff document formatting system.
.
.B eqn
compiles descriptions of equations embedded within
.B troff
input files into commands that are understood by
.BR troff .
.
Normally, it should be invoked using the
.B \-e
option of
.BR groff .
.
The syntax is quite compatible with Unix eqn.
.
The output of GNU
.B eqn
cannot be processed with Unix troff;
it must be processed with GNU troff.
.
If no files are given on the command line, the standard input is read.
.
A filename of
.B \-
causes the standard input to be read.
.
.
.LP
.B eqn
searches for the file
.I eqnrc
in the directories given with the
.B \-M
option first, then in
.IR /usr/\:lib64/\:groff/\:site\-tmac ,
.IR /usr/\:share/\:groff/\:site\-tmac ,
and finally in the standard macro directory
.IR /usr/\:share/\:groff/\:1.22.4/\:tmac .
.
If it exists,
.B eqn
processes it before the other input files.
.
The
.B \-R
option prevents this.
.
.
.LP
GNU
.B eqn
does not provide the functionality of neqn:
it does not support low-resolution, typewriter-like devices
(although it may work adequately for very simple input).
.
.
.\" ====================================================================
.SH OPTIONS
.\" ====================================================================
.
Whitespace is permitted between a command-line option and its argument.
.
.
.TP
.BI \-d xy
Specify delimiters
.I x
and\~\c
.I y
for the left and right end, respectively, of in-line equations.
.
Any
.B delim
statements in the source file overrides this.
.
.TP
.B \-C
Recognize
.B .EQ
and
.B .EN
even when followed by a character other than space or newline.
.
Also, the statement
.RB \[oq] "delim on" \[cq]
is not handled specially.
.
.TP
.B \-N
Don't allow newlines within delimiters.
.
This option allows
.B eqn
to recover better from missing closing delimiters.
.
.TP
.B \-v
Print the version number.
.
.TP
.B \-r
Only one size reduction.
.
.TP
.BI \-m n
The minimum point-size is\~\c
.IR n .
.
.B eqn
does not reduce the size of subscripts or superscripts to
a smaller size than\~\c
.IR n .
.
.TP
.BI \-T name
The output is for device
.IR name .
.
Normally, the only effect of this is to define a macro
.I name
with a value of\~\c
.BR 1 ;
.I eqnrc
uses this to provide definitions appropriate for the output device.
.
However, if the specified device is \[lq]MathML\[rq], the output is
MathML markup rather than troff commands, and
.I eqnrc
is not loaded at all.
.
The default output device is
.BR ps .
.
.TP
.BI \-M dir
Search
.I dir
for
.I eqnrc
before the default directories.
.
.TP
.B \-R
Don't load
.IR eqnrc .
.
.TP
.BI \-f F
This is equivalent to a
.BI gfont\ F
command.
.
.TP
.BI \-s n
This is equivalent to a
.BI gsize\ n
command.
.
This option is deprecated.
.B eqn
normally sets equations at whatever the current point size
is when the equation is encountered.
.
.TP
.BI \-p n
This says that subscripts and superscripts should be
.IR n \~points
smaller than the surrounding text.
.
This option is deprecated.
.
Normally
.B eqn
sets subscripts and superscripts at 70% of the size of the surrounding
text.
.
.
.\" ====================================================================
.SH USAGE
.\" ====================================================================
.
Only the differences between GNU
.B eqn
and Unix eqn are described here.
.
.
.LP
GNU
.B eqn
emits Presentation MathML output when invoked with the
.B "-T\~MathML"
option.
.
.
.LP
GNU eqn sets the input token
.B \&"..."
as three periods or low dots, rather than the three centered dots of
classic eqn. To get three centered dots, write
.B "cdots"
or
.BR "cdot cdot cdot".
.
.
.LP
Most of the new features of the GNU
.B eqn
input language are based on \*(tx.
.
There are some references to the differences between \*(tx and GNU
.B eqn
below;
these may safely be ignored if you do not know \*(tx.
.
.
.\" ====================================================================
.SS Controlling delimiters
.\" ====================================================================
.
If not in compatibility mode,
.B eqn
recognizes
.
.RS
.LP
.B delim on
.RE
.
.LP
to restore the delimiters which have been previously disabled
with a call to
.RB \[oq] "delim off" \[cq].
.
If delimiters haven't been specified, the call has no effect.
.
.
.\" ====================================================================
.SS Automatic spacing
.\" ====================================================================
.
.B eqn
gives each component of an equation a type, and adjusts the spacing
between components using that type.
.
Possible types are described in the table below.
.
.
.TS
lB l.
ordinary T{
an ordinary character such as \[oq]1\[cq] or
.RI \[oq] x \[cq]
T}
operator T{
a large operator such as
.ds Su \[oq]\s+5\(*S\s0\[cq]
.if \n(.g .if !c\(*S .ds Su the summation operator
\*(Su
T}
binary a binary operator such as \[oq]\[pl]\[cq]
relation a relation such as \[oq]=\[cq]
opening a opening bracket such as \[oq](\[cq]
closing a closing bracket such as \[oq])\[cq]
punctuation a punctuation character such as \[oq],\[cq]
inner a subformula contained within brackets
suppress a type that suppresses automatic spacing adjustment
.TE
.
.
.LP
Components of an equation
get a type in one of two ways.
.
.TP
.BI type\ t\ e
This yields an equation component that contains\~\c
.I e
but that has type\~\c
.IR t ,
where
.I t
is one of the types mentioned above.
.
For example,
.B times
is defined as
.
.RS
.IP
.B
type "binary" \e(mu
.RE
.
.IP
The name of the type doesn't have to be quoted, but quoting protects
from macro expansion.
.
.TP
.BI chartype\ t\ text
Unquoted groups of characters are split up into individual characters,
and the type of each character is looked up;
this changes the type that is stored for each character;
it says that the characters in
.I text
from now on have type\~\c
.IR t .
For example,
.
.RS
.IP
.B
chartype "punctuation" .,;:
.RE
.
.IP
would make the characters \[oq].,;:\[cq] have type punctuation
whenever they subsequently appeared in an equation.
.
The type\~\c
.I t
can also be
.B letter
or
.BR digit ;
in these cases
.B chartype
changes the font type of the characters.
.
See subsection \[lq]Fonts\[rq] below.
.
.
.\" ====================================================================
.SS New primitives
.\" ====================================================================
.
.TP
.BI big\ e
Enlarges the expression it modifies; intended to have semantics like
CSS \[oq]large\[cq].
.
In troff output, the point size is increased by\~5; in MathML output,
the expression uses
.
.RS
.IP
.EX
<mstyle \%mathsize='big'>
.EE
.RE
.
.TP
.IB e1\ smallover\ e2
This is similar to
.BR over ;
.B smallover
reduces the size of
.I e1
and
.IR e2 ;
it also puts less vertical space between
.I e1
or
.I e2
and the fraction bar.
.
The
.B over
primitive corresponds to the \*(tx
.B \eover
primitive in display styles;
.B smallover
corresponds to
.B \eover
in non-display styles.
.
.TP
.BI vcenter\ e
This vertically centers
.I e
about the math axis.
.
The math axis is the vertical position about which characters such as
\[oq]\[pl]\[cq] and \[oq]\[mi]\[cq] are centered; also it is the
vertical position used for the bar of fractions.
.
For example,
.B sum
is defined as
.
.RS
.IP
.B
{ type "operator" vcenter size +5 \e(*S }
.RE
.
.IP
(Note that vcenter is silently ignored when generating MathML.)
.
.TP
.IB e1\ accent\ e2
This sets
.I e2
as an accent over
.IR e1 .
.I e2
is assumed to be at the correct height for a lowercase letter;
.I e2
is moved down according to whether
.I e1
is taller or shorter than a lowercase letter.
.
For example,
.B hat
is defined as
.
.RS
.IP
.B
accent { "^" }
.RE
.
.IP
.BR dotdot ,
.BR dot ,
.BR tilde ,
.BR vec ,
and
.B dyad
are also defined using the
.B accent
primitive.
.
.TP
.IB e1\ uaccent\ e2
This sets
.I e2
as an accent under
.IR e1 .
.I e2
is assumed to be at the correct height for a character without a descender;
.I e2
is moved down if
.I e1
has a descender.
.
.B utilde
is pre-defined using
.B uaccent
as a tilde accent below the baseline.
.
.TP
.BI split\ \[dq] text \[dq]
This has the same effect as simply
.
.RS
.IP
.I text
.RE
.
.IP
but
.I text
is not subject to macro expansion because it is quoted;
.I text
is split up and the spacing between individual characters is adjusted.
.
.TP
.BI nosplit\ text
This has the same effect as
.
.RS
.IP
.BI \[dq] text \[dq]
.RE
.
.IP
but because
.I text
is not quoted it is subject to macro expansion;
.I text
is not split up
and the spacing between individual characters is not adjusted.
.
.TP
.IB e\ opprime
This is a variant of
.B prime
that acts as an operator on\~\c
.IR e .
.
It produces a different result from
.B prime
in a case such as
.BR A\ opprime\ sub\ 1 :
with
.B opprime
the\~\c
.B 1
is tucked under the prime as a subscript to the\~\c
.B A
(as is conventional in mathematical typesetting),
whereas with
.B prime
the\~\c
.B 1
is a subscript to the prime character.
.
The precedence of
.B opprime
is the same as that of
.B bar
and
.BR under ,
which is higher than that of everything except
.B accent
and
.BR uaccent .
.
In unquoted text a\~\c
.B \[aq]
that is not the first character is treated like
.BR opprime .
.
.TP
.BI special\ text\ e
This constructs a new object from\~\c
.I e
using a
.BR troff (1)
macro named
.IR text .
.
When the macro is called,
the string
.B 0s
contains the output for\~\c
.IR e ,
and the number registers
.BR 0w ,
.BR 0h ,
.BR 0d ,
.BR 0skern ,
and
.B 0skew
contain the width, height, depth, subscript kern, and skew of\~\c
.IR e .
.
(The
.I "subscript kern"
of an object says how much a subscript on that object should be tucked in;
the
.I skew
of an object says how far to the right of the center of the object an
accent over the object should be placed.)
.
The macro must modify
.B 0s
so that it outputs the desired result with its origin at the current
point, and increase the current horizontal position by the width
of the object.
.
The number registers must also be modified so that they correspond to the
result.
.
.IP
For example, suppose you wanted a construct that \[oq]cancels\[cq] an
expression by drawing a diagonal line through it.
.
.RS
.IP
.ft B
.if t .ne 6+\n(.Vu
.br
\&.EQ
.br
define cancel 'special Ca'
.br
\&.EN
.br
\&.de Ca
.br
\&.\ \ ds 0s \e
.br
\eZ'\e\e*(0s'\e
.br
\ev'\e\en(0du'\e
.br
\eD'l \e\en(0wu -\e\en(0hu-\e\en(0du'\e
.br
\ev'\e\en(0hu'
.br
\&..
.ft
.RE
.
.IP
Then you could cancel an expression\~\c
.I e
with
.BI \%cancel\ {\ e\ }
.
.IP
Here's a more complicated construct that draws a box round an
expression:
.
.RS
.IP
.ft B
.if t .ne 11+\n(.Vu
\&.EQ
.br
define box 'special Bx'
.br
\&.EN
.br
\&.de Bx
.br
\&.\ \ ds 0s \e
.br
\eZ'\eh'1n'\e\e*(0s'\e
.br
\eZ'\e
.br
\ev'\e\en(0du+1n'\e
.br
\eD'l \e\en(0wu+2n 0'\e
.br
\eD'l 0 -\e\en(0hu-\e\en(0du-2n'\e
.br
\eD'l -\e\en(0wu-2n 0'\e
.br
\eD'l 0 \e\en(0hu+\e\en(0du+2n'\e
.br
\&'\e
.br
\eh'\e\en(0wu+2n'
.br
\&.\ \ nr 0w +2n
.br
\&.\ \ nr 0d +1n
.br
\&.\ \ nr 0h +1n
.br
\&..
.ft
.RE
.
.TP
.BI space\ n
A positive value of the integer\~\c
.I n
(in hundredths of an em) sets the vertical spacing before the
equation, a negative value sets the spacing after the equation,
replacing the default values.
.
This primitive provides an interface to
.BR groff 's
.B \ex
escape (but with opposite sign).
.
.IP
This keyword has no effect if the equation is part of a
.B pic
picture.
.
.
.\" ====================================================================
.SS Extended primitives
.\" ====================================================================
.
.TP
.BI col\ n\ {\ .\|.\|.\ }
.TQ
.BI ccol\ n\ {\ .\|.\|.\ }
.TQ
.BI lcol\ n\ {\ .\|.\|.\ }
.TQ
.BI rcol\ n\ {\ .\|.\|.\ }
.TQ
.BI pile\ n\ {\ .\|.\|.\ }
.TQ
.BI cpile\ n\ {\ .\|.\|.\ }
.TQ
.BI lpile\ n\ {\ .\|.\|.\ }
.TQ
.BI rpile\ n\ {\ .\|.\|.\ }
The integer value\~\c
.I n
(in hundredths of an em) increases the vertical spacing between rows,
using
.BR groff 's
.B \ex
escape (the value has no effect in MathML mode).
Negative values are possible but have no effect.
If there is more than a single value given in a matrix, the biggest one
is used.
.
.
.\" ====================================================================
.SS Customization
.\" ====================================================================
.
When
.B eqn
is generating troff markup, the appearance of equations is controlled
by a large number of parameters.
.
They have no effect when generating MathML mode, which pushes
typesetting and fine motions downstream to a MathML rendering engine.
.
These parameters can be set using the
.B set
command.
.
.TP
.BI set\ p\ n
This sets parameter\~\c
.I p
to value\~\c
.IR n ;
.IR n \~is
an integer.
.
For example,
.
.RS
.IP
.B
set x_height 45
.RE
.
.IP
says that
.B eqn
should assume an x\~height of 0.45\~ems.
.
.
.RS
.LP
Possible parameters are as follows.
.
Values are in units of hundredths of an em unless otherwise stated.
.
These descriptions are intended to be expository rather than
definitive.
.
.TP
.B minimum_size
.B eqn
doesn't set anything at a smaller point-size than this.
.
The value is in points.
.
.TP
.B fat_offset
The
.B fat
primitive emboldens an equation by overprinting two copies of the
equation horizontally offset by this amount.
.
This parameter is not used in MathML mode; instead, fat text uses
.
.RS
.IP
.EX
<mstyle mathvariant='double-struck'>
.EE
.RE
.
.TP
.B over_hang
A fraction bar is longer by twice this amount than
the maximum of the widths of the numerator and denominator;
in other words, it overhangs the numerator and
denominator by at least this amount.
.
.TP
.B accent_width
When
.B bar
or
.B under
is applied to a single character,
the line is this long.
.
Normally,
.B bar
or
.B under
produces a line whose length is the width of the object to which it applies;
in the case of a single character,
this tends to produce a line that looks too long.
.
.TP
.B delimiter_factor
Extensible delimiters produced with the
.B left
and
.B right
primitives have a combined height and depth of at least this many
thousandths of twice the maximum amount by which the sub-equation that
the delimiters enclose extends away from the axis.
.
.TP
.B delimiter_shortfall
Extensible delimiters produced with the
.B left
and
.B right
primitives have a combined height and depth not less than the
difference of twice the maximum amount by which the sub-equation that
the delimiters enclose extends away from the axis and this amount.
.
.TP
.B null_delimiter_space
This much horizontal space is inserted on each side of a fraction.
.
.TP
.B script_space
The width of subscripts and superscripts is increased by this amount.
.
.TP
.B thin_space
This amount of space is automatically inserted after punctuation
characters.
.
.TP
.B medium_space
This amount of space is automatically inserted on either side of
binary operators.
.
.TP
.B thick_space
This amount of space is automatically inserted on either side of
relations.
.
.TP
.B x_height
The height of lowercase letters without ascenders such as \[oq]x\[cq].
.
.TP
.B axis_height
The height above the baseline of the center of characters such as
\[oq]\[pl]\[cq] and \[oq]\[mi]\[cq].
.
It is important that this value is correct for the font
you are using.
.
.TP
.B default_rule_thickness
This should set to the thickness of the
.B \e(ru
character, or the thickness of horizontal lines produced with the
.B \eD
escape sequence.
.
.TP
.B num1
The
.B over
command shifts up the numerator by at least this amount.
.
.TP
.B num2
The
.B smallover
command shifts up the numerator by at least this amount.
.
.TP
.B denom1
The
.B over
command shifts down the denominator by at least this amount.
.
.TP
.B denom2
The
.B smallover
command shifts down the denominator by at least this amount.
.
.TP
.B sup1
Normally superscripts are shifted up by at least this amount.
.
.TP
.B sup2
Superscripts within superscripts or upper limits
or numerators of
.B smallover
fractions are shifted up by at least this amount.
.
This is usually less than sup1.
.
.TP
.B sup3
Superscripts within denominators or square roots
or subscripts or lower limits are shifted up by at least
this amount.
.
This is usually less than sup2.
.
.TP
.B sub1
Subscripts are normally shifted down by at least this amount.
.
.TP
.B sub2
When there is both a subscript and a superscript, the subscript is
shifted down by at least this amount.
.
.TP
.B sup_drop
The baseline of a superscript is no more than this much amount below
the top of the object on which the superscript is set.
.
.TP
.B sub_drop
The baseline of a subscript is at least this much below the bottom of
the object on which the subscript is set.
.
.TP
.B big_op_spacing1
The baseline of an upper limit is at least this much above the top of
the object on which the limit is set.
.
.TP
.B big_op_spacing2
The baseline of a lower limit is at least this much below the bottom
of the object on which the limit is set.
.
.TP
.B big_op_spacing3
The bottom of an upper limit is at least this much above the top of
the object on which the limit is set.
.
.TP
.B big_op_spacing4
The top of a lower limit is at least this much below the bottom of the
object on which the limit is set.
.
.TP
.B big_op_spacing5
This much vertical space is added above and below limits.
.
.TP
.B baseline_sep
The baselines of the rows in a pile or matrix are normally this far
apart.
.
In most cases this should be equal to the sum of
.B num1
and
.BR denom1 .
.
.TP
.B shift_down
The midpoint between the top baseline and the bottom baseline in a
matrix or pile is shifted down by this much from the axis.
.
In most cases this should be equal to
.BR axis_height .
.
.TP
.B column_sep
This much space is added between columns in a matrix.
.
.TP
.B matrix_side_sep
This much space is added at each side of a matrix.
.
.TP
.B draw_lines
If this is non-zero, lines are drawn using the
.B \eD
escape sequence, rather than with the
.B \el
escape sequence and the
.B \e(ru
character.
.
.TP
.B body_height
The amount by which the height of the equation exceeds this is added
as extra space before the line containing the equation (using
.BR \ex ).
.
The default value is 85.
.
.TP
.B body_depth
The amount by which the depth of the equation exceeds this is added as
extra space after the line containing the equation (using
.BR \ex ).
.
The default value is 35.
.
.TP
.B nroff
If this is non-zero,
then
.B ndefine
behaves like
.B define
and
.B tdefine
is ignored, otherwise
.B tdefine
behaves like
.B define
and
.B ndefine
is ignored.
.
The default value is\~0 (This is typically changed to\~1 by the
.I eqnrc
file for the
.BR ascii ,
.BR latin1 ,
.BR utf8 ,
and
.B cp1047
devices.)
.
.
.LP
A more precise description of the role of many of these
parameters can be found in Appendix\~H of
.IR "The \*(txbook" .
.RE
.
.
.\" ====================================================================
.SS Macros
.\" ====================================================================
.
Macros can take arguments.
.
In a macro body,
.BI $ n
where
.I n
is between 1 and\~9, is replaced by the
.IR n th
argument if the macro is called with arguments;
if there are fewer than
.IR n \~arguments,
it is replaced by nothing.
.
A word containing a left parenthesis where the part of the word
before the left parenthesis has been defined using the
.B define
command is recognized as a macro call with arguments; characters
following the left parenthesis up to a matching right parenthesis are
treated as comma-separated arguments; commas inside nested parentheses
do not terminate an argument.
.
.TP
.BI sdefine\ name\ X\ anything\ X
This is like the
.B define
command, but
.I name
is not recognized if called with arguments.
.
.TP
.BI include\ \[dq] file \[dq]
.TQ
.BI copy\ \[dq] file \[dq]
Include the contents of
.I file
.RB ( include
and
.B copy
are synonyms).
.
Lines of
.I file
beginning with
.B .EQ
or
.B .EN
are ignored.
.
.TP
.BI ifdef\ name\ X\ anything\ X
If
.I name
has been defined by
.B define
(or has been automatically defined because
.I name
is the output device) process
.IR anything ;
otherwise ignore
.IR anything .
.
.I X
can be any character not appearing in
.IR anything .
.
.TP
.BI undef\ name
Remove definition of
.IR name ,
making it undefined.
.
.
.LP
Besides the macros mentioned above, the following definitions are available:
.BR Alpha ,
.BR Beta ,
\&.\|.\|.,
.B Omega
(this is the same as
.BR ALPHA ,
.BR BETA ,
\&.\|.\|.,
.BR OMEGA ),
.B ldots
(three dots on the base line), and
.BR dollar .
.
.
.\" ====================================================================
.SS Fonts
.\" ====================================================================
.
.B eqn
normally uses at least two fonts to set an equation:
an italic font for letters,
and a roman font for everything else.
.
The existing
.B gfont
command
changes the font that is used as the italic font.
.
By default this is\~\c
.BR I .
The font that is used as the roman font can be changed using the new
.B grfont
command.
.
.TP
.BI grfont\ f
Set the roman font to\~\c
.IR f .
.
.
.LP
The
.B italic
primitive uses the current italic font set by
.BR gfont ;
the
.B roman
primitive uses the current roman font set by
.BR grfont .
.
There is also a new
.B gbfont
command, which changes the font used by the
.B bold
primitive.
.
If you only use the
.BR roman ,
.B italic
and
.B bold
primitives to changes fonts within an equation, you can change all the
fonts used by your equations just by using
.BR gfont ,
.B grfont
and
.B gbfont
commands.
.
.
.LP
You can control which characters are treated as letters
(and therefore set in italics) by using the
.B chartype
command described above.
.
A type of
.B letter
causes a character to be set in italic type.
.
A type of
.B digit
causes a character to be set in roman type.
.
.
.\" ====================================================================
.SH FILES
.\" ====================================================================
.
.TP
.I /usr/\:share/\:groff/\:1.22.4/\:tmac/eqnrc
Initialization file.
.
.
.\" ====================================================================
.SH MATHML MODE LIMITATIONS
.\" ====================================================================
.
MathML is designed on the assumption that it cannot know the exact
physical characteristics of the media and devices on which it will
be rendered.
.
It does not support fine control of motions and sizes to the same
degree troff does.
.
Thus:
.
.IP *
.B eqn
parameters have no effect on the generated MathML.
.
.IP *
The
.BR special ,
.BR up ,
.BR down ,
.BR fwd ,
and
.B back
operations cannot be implemented, and yield a MathML
\[oq]<merror>\[cq] message instead.
.
.IP *
The
.B vcenter
keyword is silently ignored, as centering on the math axis is the
MathML default.
.
.IP *
Characters that
.B eqn
over troff sets extra large \(en notably the integral sign \(en may
appear too small and need to have their \[oq]<mstyle>\[cq] wrappers
adjusted by hand.
.
.
.LP
As in its troff mode,
.B eqn
in MathML mode leaves the
.B .EQ
and
.B .EN
delimiters in place for displayed equations, but emits no explicit
delimiters around inline equations.
.
They can, however, be recognized as strings that begin with
\[oq]<math>\[cq] and end with \[oq]</math>\[cq] and do not cross line
boundaries.
.
.
.LP
See section \[lq]Bugs\[rq] below for translation limits specific to
.BR eqn .
.
.
.\" ====================================================================
.SH BUGS
.\" ====================================================================
.
Inline equations are set at the point size that is current at the
beginning of the input line.
.
.
.LP
In MathML mode, the
.B mark
and
.B lineup
features don't work.
.
These could, in theory, be implemented with \[oq]<maligngroup>\[cq]
elements.
.
.
.LP
In MathML mode, each digit of a numeric literal gets a separate
\[oq]<mn>\:</mn>\[cq] pair, and decimal points are tagged with
\[oq]<mo>\:</mo>\[cq].
.
This is allowed by the specification, but inefficient.
.
.
.\" ====================================================================
.SH "SEE ALSO"
.\" ====================================================================
.
.BR groff (1),
.BR troff (1),
.BR pic (1),
.BR groff_font (5),
.I The\ \*[tx]book
.
.
.\" Restore compatibility mode (for, e.g., Solaris 10/11).
.cp \n[eqn_C]
.
.
.\" Local Variables:
.\" mode: nroff
.\" tab-width: 12
.\" End:
.\" vim: set filetype=groff tabstop=12:
|