NAME
eqn —
eqn language reference for
mandoc
DESCRIPTION
The
eqn language is an equation-formatting language. It is
used within
mdoc(7) and
man(7) UNIX
manual pages. It describes the
structure of an equation, not
its mathematical meaning. This manual describes the
eqn
language accepted by the
mandoc(1) utility, which
corresponds to the Second Edition
eqn specification (see
SEE ALSO for references).
Equations within
mdoc(7) or
man(7) documents are enclosed by
the standalone ‘.EQ’ and ‘.EN’ tags. Equations are
multi-line blocks consisting of formulas and control statements.
EQUATION STRUCTURE
Each equation is bracketed by ‘.EQ’ and ‘.EN’ strings.
Note: these are not the same as
roff(7) macros, and may only be
invoked as ‘.EQ’.
The equation grammar is as follows, where quoted strings are case-sensitive
literals in the input:
eqn : box | eqn box
box : text
| "{" eqn "}"
| "define" text text
| "ndefine" text text
| "tdefine" text text
| "gfont" text
| "gsize" text
| "set" text text
| "undef" text
| "sqrt" box
| box pos box
| box mark
| "matrix" "{" [col "{" list "}" ]*
| pile "{" list "}"
| font box
| "size" text box
| "left" text eqn ["right" text]
col : "lcol" | "rcol" | "ccol" | "col"
text : [^space\"]+ | \".*\"
pile : "lpile" | "cpile" | "rpile" | "pile"
pos : "over" | "sup" | "sub" | "to" | "from"
mark : "dot" | "dotdot" | "hat" | "tilde" | "vec"
| "dyad" | "bar" | "under"
font : "roman" | "italic" | "bold" | "fat"
list : eqn
| list "above" eqn
space : [\^~ \t]
White-space consists of the space, tab, circumflex, and tilde characters. It is
required to delimit tokens consisting of alphabetic characters and it is
ignored at other places. Braces and quotes also delimit tokens. If within a
quoted string, these space characters are retained. Quoted strings are also
not scanned for keywords, glyph names, and expansion of definitions. To print
a literal quote character, it can be prepended with a backslash or expressed
with the \(dq escape sequence.
Subequations can be enclosed in braces to pass them as arguments to operation
keywords, overriding standard operation precedence. Braces can be nested. To
set a brace verbatim, it needs to be enclosed in quotes.
The following text terms are translated into a rendered glyph, if available:
alpha, beta, chi, delta, epsilon, eta, gamma, iota, kappa, lambda, mu, nu,
omega, omicron, phi, pi, psi, rho, sigma, tau, theta, upsilon, xi, zeta,
DELTA, GAMMA, LAMBDA, OMEGA, PHI, PI, PSI, SIGMA, THETA, UPSILON, XI, inter
(intersection), union (union), prod (product), int (integral), sum
(summation), grad (gradient), del (vector differential), times (multiply),
cdot (center-dot), nothing (zero-width space), approx (approximately equals),
prime (prime), half (one-half), partial (partial differential), inf
(infinity), >> (much greater), << (much less), -> (left arrow),
<- (right arrow), +- (plus-minus), != (not equal), == (equivalence), <=
(less-than-equal), and >= (more-than-equal). The character escape sequences
documented in
mandoc_char(7) can be used,
too.
The following control statements are available:
-
-
- define
- Replace all occurrences of a key with a value. Its syntax
is as follows:
define key
cvalc
The first character of the value string, c, is used as
the delimiter for the value val. This allows for
arbitrary enclosure of terms (not just quotes), such as
define foo 'bar
baz'
define foo cbar
bazc
It is an error to have an empty key or
val. Note that a quoted key
causes errors in some eqn implementations and should not
be considered portable. It is not expanded for replacements. Definitions
may refer to other definitions; these are evaluated recursively when text
replacement occurs and not when the definition is created.
Definitions can create arbitrary strings, for example, the following is a
legal construction.
define foo 'define'
foo bar 'baz'
Self-referencing definitions will raise an error. The
ndefine statement is a synonym for
define, while tdefine is
discarded.
-
-
- gfont
- Set the default font of subsequent output. Its syntax is as
follows:
gfont font
In mandoc, this value is discarded.
-
-
- gsize
- Set the default size of subsequent output. Its syntax is as
follows:
gsize
[+|-]size
The size value should be an integer. If prepended by a
sign, the font size is changed relative to the current size.
-
-
- set
- Set an equation mode. In mandoc, both arguments are thrown
away. Its syntax is as follows:
set key val
The key and val are not expanded
for replacements. This statement is a GNU extension.
-
-
- undef
- Unset a previously-defined key. Its syntax is as follows:
define key
Once invoked, the definition for key is discarded. The
key is not expanded for replacements. This statement
is a GNU extension.
Operation keywords have the following semantics:
-
-
- above
- See pile.
-
-
- bar
- Draw a line over the preceding box.
-
-
- bold
- Set the following box using bold font.
-
-
- ccol
- Like cpile, but for use in
matrix.
-
-
- cpile
- Like pile, but with slightly increased
vertical spacing.
-
-
- dot
- Set a single dot over the preceding box.
-
-
- dotdot
- Set two dots (dieresis) over the preceding box.
-
-
- dyad
- Set a dyad symbol (left-right arrow) over the preceding
box.
-
-
- fat
- A synonym for bold.
-
-
- font
- Set the second argument using the font specified by the
first argument; currently not recognized by the
mandoc(1)
eqn parser.
-
-
- from
- Set the following box below the preceding box, using a
slightly smaller font. Used for sums, integrals, limits, and the
like.
-
-
- hat
- Set a hat (circumflex) over the preceding box.
-
-
- italic
- Set the following box using italic font.
-
-
- lcol
- Like lpile, but for use in
matrix.
-
-
- left
- Set the first argument as a big left delimiter before the
second argument. As an optional third argument, right
can follow. In that case, the fourth argument is set as a big right
delimiter after the second argument.
-
-
- lpile
- Like cpile, but subequations are
left-justified.
-
-
- matrix
- Followed by a list of columns enclosed in braces. All
columns need to have the same number of subequations. The columns are set
as a matrix. The difference compared to multiple subsequent
pile operators is that in a matrix,
corresponding subequations in all columns line up horizontally, while each
pile does vertical spacing independently.
-
-
- over
- Set a fraction. The preceding box is the numerator, the
following box is the denominator.
-
-
- pile
- Followed by a list of subequations enclosed in braces, the
subequations being separated by above keywords. Sets the
subequations one above the other, each of them centered. Typically used to
represent vectors in coordinate representation.
-
-
- rcol
- Like rpile, but for use in
matrix.
-
-
- right
- See left; right cannot
be used without left. To set a big right delimiter
without a big left delimiter, the following construction can be used:
left ""
box right
delimiter
-
-
- roman
- Set the following box using the default font.
-
-
- rpile
- Like cpile, but subequations are
right-justified.
-
-
- size
- Set the second argument with the font size specified by the
first argument; currently ignored by
mandoc(1). By prepending a
plus or minus sign to the first argument, the font size can be selected
relative to the current size.
-
-
- sqrt
- Set the square root of the following box.
-
-
- sub
- Set the following box as a subscript to the preceding
box.
-
-
- sup
- Set the following box as a superscript to the preceding
box. As a special case, if a sup clause immediately
follows a sub clause as in
mainbox sub
subbox sup
supbox
both are set with respect to the same mainbox, that
is, supbox is set above
subbox.
-
-
- tilde
- Set a tilde over the preceding box.
-
-
- to
- Set the following box above the preceding box, using a
slightly smaller font. Used for sums and integrals and the like. As a
special case, if a to clause immediately follows a
from clause as in
mainbox from
frombox to
tobox
both are set below and above the same mainbox.
-
-
- under
- Underline the preceding box.
-
-
- vec
- Set a vector symbol (right arrow) over the preceding
box.
The binary operations
from,
to,
sub, and
sup group to the right, that is,
mainbox sup
supbox sub
subbox
is the same as
mainbox sup
{supbox sub
subbox}
and different from
{mainbox sup
supbox} sub
subbox.
By contrast,
over groups to the left.
In the following list, earlier operations bind more tightly than later
operations:
- dyad,
vec, under, bar,
tilde, hat, dot,
dotdot
- fat,
roman, italic, bold,
size
- sub,
sup
- sqrt
- over
- from,
to
COMPATIBILITY
This section documents the compatibility of mandoc
eqn and the
troff
eqn implementation (including GNU troff).
- The text string
‘\"’ is interpreted as a literal quote in troff. In
mandoc, this is interpreted as a comment.
- In troff, The circumflex and
tilde white-space symbols map to fixed-width spaces. In mandoc, these
characters are synonyms for the space character.
- The troff implementation of
eqn allows for equation alignment with the
mark and lineup tokens. mandoc
discards these tokens. The back n,
fwd n, up
n, and down
n commands are also ignored.
SEE ALSO
mandoc(1),
man(7),
mandoc_char(7),
mdoc(7),
roff(7)
Brian W. Kernighan and
Lorinda L. Cherry, System for
Typesetting Mathematics, Communications of the ACM,
18, 151–157,
March, 1975.
Brian W. Kernighan and
Lorinda L. Cherry, Typesetting
Mathematics, User's Guide, 1976.
Brian W. Kernighan and
Lorinda L. Cherry, Typesetting
Mathematics, User's Guide (Second Edition),
1978.
HISTORY
The eqn utility, a preprocessor for troff, was originally written by Brian W.
Kernighan and Lorinda L. Cherry in 1975. The GNU reimplementation of eqn, part
of the GNU troff package, was released in 1989 by James Clark. The eqn
component of
mandoc(1) was added
in 2011.
AUTHORS
This
eqn reference was written by
Kristaps
Dzonsons
<
kristaps@bsd.lv>.