NAME
eqn - format equations for troff
SYNOPSIS
eqn [ -rvCNR ] [ -d xy ] [ -T
name ] [ -M dir ] [ -f F ] [
-s n ] [ -p n ] [ -m n ]
[ files... ]
It is possible to have whitespace between a command line option
and its parameter.
DESCRIPTION
This manual page describes the GNU version of
eqn, which is part of the groff document formatting system.
eqn compiles descriptions of equations embedded within
troff input files into commands that are understood by
troff. Normally, it should be invoked using the -e
option of groff. The syntax is quite compatible with Unix
eqn. The output of GNU 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 will be read. A filename of
- will cause the standard input to be read.
eqn searches for the file eqnrc in the directories
given with the -M option first, then in
/usr/lib/groff/site-tmac, /usr/share/groff/site-tmac,
and finally in the standard macro directory
/usr/share/groff/1.18.1.1/tmac. If it exists, eqn will
process it before the other input files. The -R option
prevents this.
GNU 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).
OPTIONS
- -dxy
- Specify delimiters x and y for the left and right
end, respectively, of in-line equations. Any delim
statements in the source file overrides this.
- -C
- Recognize .EQ and .EN even when followed by a
character other than space or newline.
- -N
- Don't allow newlines within delimiters. This option allows
eqn to recover better from missing closing delimiters.
- -v
- Print the version number.
- -r
- Only one size reduction.
- -mn
- The minimum point-size is n. eqn will not reduce the
size of subscripts or superscripts to a smaller size than n.
- -Tname
- The output is for device name. The only effect of this
is to define a macro name with a value of 1.
Typically eqnrc will use this to provide definitions
appropriate for the output device. The default output device is
ps.
- -Mdir
- Search dir for eqnrc before the default
directories.
- -R
- Don't load eqnrc.
- -fF
- This is equivalent to a gfont F command.
- -sn
- This is equivalent to a gsize n command.
This option is deprecated. eqn will normally set equations at
whatever the current point size is when the equation is
encountered.
- -pn
- This says that subscripts and superscripts should be n
points smaller than the surrounding text. This option is
deprecated. Normally eqn makes sets subscripts and superscripts at
70% of the size of the surrounding text.
USAGE
Only the differences between GNU eqn and Unix eqn are
described here.
Most of the new features of GNU eqn are based on TeX. There are
some references to the differences between TeX and GNU eqn below;
these may safely be ignored if you do not know TeX.
Automatic spacing
eqn gives each component of an equation a type, and
adjusts the spacing between components using that type. Possible
types are:
- ordinary
- an ordinary character such as 1 or x;
- operator
- a large operator such as Sigma;
- binary
- a binary operator such as +;
- relation
- a relation such as =;
- opening
- a opening bracket such as (;
- closing
- a closing bracket such as );
- punctuation
- a punctuation character such as ,;
- inner
- a subformula contained within brackets;
- suppress
- spacing that suppresses automatic spacing adjustment.
Components of an equation get a type in one of two ways.
- type t e
- This yields an equation component that contains e but
that has type t, where t is one of the types
mentioned above. For example, times is defined as
-
- type "binary" \(mu
- The name of the type doesn't have to be quoted, but quoting
protects from macro expansion.
- 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 text from now on have type t. For
example,
-
- chartype "punctuation" .,;:
- would make the characters .,;: have type punctuation
whenever they subsequently appeared in an equation. The type
t can also be letter or digit; in these cases
chartype changes the font type of the characters. See the
Fonts subsection.
New primitives
- e1 smallover e2
- This is similar to over; smallover reduces the
size of e1 and e2; it also puts less vertical space
between e1 or e2 and the fraction bar. The
over primitive corresponds to the TeX \over primitive
in display styles; smallover corresponds to \over in
non-display styles.
- vcenter e
- This vertically centers e about the math axis. The math
axis is the vertical position about which characters such as + and
- are centered; also it is the vertical position used for the bar
of fractions. For example, sum is defined as
-
- { type "operator" vcenter size +5 \(*S }
- e1 accent e2
- This sets e2 as an accent over e1. e2 is
assumed to be at the correct height for a lowercase letter;
e2 will be moved down according if e1 is taller or
shorter than a lowercase letter. For example, hat is defined
as
-
- accent { "^" }
- dotdot, dot, tilde, vec and
dyad are also defined using the accent primitive.
- e1 uaccent e2
- This sets e2 as an accent under e1. e2 is
assumed to be at the correct height for a character without a
descender; e2 will be moved down if e1 has a
descender. utilde is pre-defined using uaccent as a
tilde accent below the baseline.
- split stexts
- This has the same effect as simply
-
- text
- but text is not subject to macro expansion because it is
quoted; text will be split up and the spacing between
individual characters will be adjusted.
- nosplit text
- This has the same effect as
-
- stexts
- but because text is not quoted it will be subject to
macro expansion; text will not be split up and the spacing
between individual characters will not be adjusted.
- e opprime
- This is a variant of prime that acts as an operator on
e. It produces a different result from prime in a
case such as A opprime sub 1: with
opprime the 1 will be tucked under the prime as a
subscript to the A (as is conventional in mathematical
typesetting), whereas with prime the 1 will be a
subscript to the prime character. The precedence of opprime
is the same as that of bar and under, which is higher
than that of everything except accent and uaccent. In
unquoted text a ' that is not the first character will be
treated like opprime.
- special text e
- This constructs a new object from e using a troff(1)
macro named text. When the macro is called, the string
0s will contain the output for e, and the number
registers 0w, 0h, 0d, 0skern and
0skew will contain the width, height, depth, subscript kern,
and skew of e. (The subscript kern of an object says
how much a subscript on that object should be tucked in; the
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 0s so that it will output 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.
-
For example, suppose you wanted a construct that `cancels' an
expression by drawing a diagonal line through it.
-
.EQ
define cancel 'special Ca'
.EN
.de Ca
.ds 0s \Z'\\*(0s'\v'\\n(0du'\D'l \\n(0wu -\\n(0hu-\\n(0du'\v'\\n(0hu'
..
Then you could cancel an expression e with
cancel { e }
Here's a more complicated construct that draws a box round an
expression:
-
.EQ
define box 'special Bx'
.EN
.de Bx
.ds 0s \Z'\h'1n'\\*(0s'\
\Z'\v'\\n(0du+1n'\D'l \\n(0wu+2n 0'\D'l 0 -\\n(0hu-\\n(0du-2n'\
\D'l -\\n(0wu-2n 0'\D'l 0 \\n(0hu+\\n(0du+2n''\h'\\n(0wu+2n'
.nr 0w +2n
.nr 0d +1n
.nr 0h +1n
..
Customization
The appearance of equations is controlled by
a large number of parameters. These can be set using the set
command.
- set p n
- This sets parameter p to value n ; n is an
integer. For example,
-
- set x_height 45
- says that eqn should assume an x height of 0.45 ems.
-
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.
- minimum_size
- eqn will not set anything at a smaller point-size than
this. The value is in points.
- fat_offset
- The fat primitive emboldens an equation by overprinting
two copies of the equation horizontally offset by this amount.
- over_hang
- A fraction bar will be longer by twice this amount than the
maximum of the widths of the numerator and denominator; in other
words, it will overhang the numerator and denominator by at least
this amount.
- accent_width
- When bar or under is applied to a single
character, the line will be this long. Normally, bar or
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.
- delimiter_factor
- Extensible delimiters produced with the left and
right primitives will 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.
- delimiter_shortfall
- Extensible delimiters produced with the left and
right primitives will 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.
- null_delimiter_space
- This much horizontal space is inserted on each side of a
fraction.
- script_space
- The width of subscripts and superscripts is increased by this
amount.
- thin_space
- This amount of space is automatically inserted after
punctuation characters.
- medium_space
- This amount of space is automatically inserted on either side
of binary operators.
- thick_space
- This amount of space is automatically inserted on either side
of relations.
- x_height
- The height of lowercase letters without ascenders such as x.
- axis_height
- The height above the baseline of the center of characters such
as + and -. It is important that this value is correct for the font
you are using.
- default_rule_thickness
- This should set to the thickness of the \(ru character,
or the thickness of horizontal lines produced with the \D
escape sequence.
- num1
- The over command will shift up the numerator by at least
this amount.
- num2
- The smallover command will shift up the numerator by at
least this amount.
- denom1
- The over command will shift down the denominator by at
least this amount.
- denom2
- The smallover command will shift down the denominator by
at least this amount.
- sup1
- Normally superscripts will be shifted up by at least this
amount.
- sup2
- Superscripts within superscripts or upper limits or numerators
of smallover fractions will be shifted up by at least this
amount. This is usually less than sup1.
- sup3
- Superscripts within denominators or square roots or subscripts
or lower limits will be shifted up by at least this amount. This is
usually less than sup2.
- sub1
- Subscripts will normally be shifted down by at least this
amount.
- sub2
- When there is both a subscript and a superscript, the subscript
will be shifted down by at least this amount.
- sup_drop
- The baseline of a superscript will be no more than this much
amount below the top of the object on which the superscript is set.
- sub_drop
- The baseline of a subscript will be at least this much below
the bottom of the object on which the subscript is set.
- big_op_spacing1
- The baseline of an upper limit will be at least this much above
the top of the object on which the limit is set.
- big_op_spacing2
- The baseline of a lower limit will be at least this much below
the bottom of the object on which the limit is set.
- big_op_spacing3
- The bottom of an upper limit will be at least this much above
the top of the object on which the limit is set.
- big_op_spacing4
- The top of a lower limit will be at least this much below the
bottom of the object on which the limit is set.
- big_op_spacing5
- This much vertical space will be added above and below limits.
- baseline_sep
- The baselines of the rows in a pile or matrix will normally be
this far apart. In most cases this should be equal to the sum of
num1 and denom1.
- shift_down
- The midpoint between the top baseline and the bottom baseline
in a matrix or pile will be shifted down by this much from the
axis. In most cases this should be equal to axis_height.
- column_sep
- This much space will be added between columns in a matrix.
- matrix_side_sep
- This much space will be added at each side of a matrix.
- draw_lines
- If this is non-zero, lines will be drawn using the \D
escape sequence, rather than with the \l escape sequence and
the \(ru character.
- body_height
- The amount by which the height of the equation exceeds this
will be added as extra space before the line containing the
equation (using \x.) The default value is 85.
- body_depth
- The amount by which the depth of the equation exceeds this will
be added as extra space after the line containing the equation
(using \x.) The default value is 35.
- nroff
- If this is non-zero, then ndefine will behave like
define and tdefine will be ignored, otherwise
tdefine will behave like define and ndefine
will be ignored. The default value is 0 (This is typically changed
to 1 by the eqnrc file for the ascii, latin1,
utf8, and cp1047 devices.)
A more precise description of the role of many of these
parameters can be found in Appendix H of
The TeXbook.
Macros
Macros can take arguments. In a macro body,
$n where n is between 1 and 9, will be
replaced by the n-th argument if the macro is called with
arguments; if there are fewer than n arguments, it will be
replaced by nothing. A word containing a left parenthesis where the
part of the word before the left parenthesis has been defined using
the define command will be recognized as a macro call with
arguments; characters following the left parenthesis up to a
matching right parenthesis will be treated as comma-separated
arguments; commas inside nested parentheses do not terminate an
argument.
- sdefine name X anything X
- This is like the define command, but name will
not be recognized if called with arguments.
- include sfiles
- Include the contents of file. Lines of file
beginning with .EQ or .EN will be ignored.
- ifdef name X anything X
- If name has been defined by define (or has been
automatically defined because name is the output device)
process anything; otherwise ignore anything. X
can be any character not appearing in anything.
Fonts
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 gfont command changes the font
that is used as the italic font. By default this is I. The
font that is used as the roman font can be changed using the new
grfont command.
- grfont f
- Set the roman font to f.
The italic primitive uses the current italic font set by
gfont; the roman primitive uses the current roman
font set by grfont. There is also a new gbfont
command, which changes the font used by the bold primitive.
If you only use the roman, italic and bold
primitives to changes fonts within an equation, you can change all
the fonts used by your equations just by using gfont,
grfont and gbfont commands.
You can control which characters are treated as letters (and
therefore set in italics) by using the chartype command
described above. A type of letter will cause a character to
be set in italic type. A type of digit will cause a
character to be set in roman type.
FILES
u+2n
- /usr/share/groff/1.18.1.1/tmac/eqnrc Initialization
file.
BUGS
Inline equations will be set at the point size that is
current at the beginning of the input line.
SEE ALSO
groff(1),
troff(1),
(5),
The TeXbook