| EQN(7) | Miscellaneous Information Manual | EQN(7) |
eqn —
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.
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:
definedefine key
cvalcThe 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 bazcIt 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.
gfontgfont
fontIn mandoc, this value is discarded.
gsizegsize
[+|-]sizeThe size value should be an integer. If prepended by a sign, the font size is changed relative to the current size.
setset key
valThe key and val are not expanded for replacements. This statement is a GNU extension.
undefdefine
keyOnce 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:
abovepile.barboldccolcpile, but for use in
matrix.cpilepile, but with slightly increased vertical
spacing.dotdotdotdyadfatbold.fonteqn parser.fromhatitaliclcollpile, but for use in
matrix.leftright can follow.
In that case, the fourth argument is set as a big right delimiter after
the second argument.lpilecpile, but subequations are
left-justified.matrixpile
operators is that in a matrix, corresponding
subequations in all columns line up horizontally, while each
pile does vertical spacing independently.overpileabove keywords. Sets the
subequations one above the other, each of them centered. Typically used to
represent vectors in coordinate representation.rcolrpile, but for use in
matrix.rightleft; 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 delimiterromanrpilecpile, but subequations are
right-justified.sizesqrtsubsupsup clause immediately follows a
sub clause as in
sub subbox
sup supboxboth are set with respect to the same mainbox, that is, supbox is set above subbox.
tildetoto clause immediately follows a
from clause as in
from frombox
to toboxboth are set below and above the same mainbox.
undervecThe binary operations from,
to, sub, and
sup group to the right, that is,
sup supbox
sub subboxis the same as
sup {supbox
sub subbox}and different from
sup supbox}
sub subbox.By contrast, over groups to the left.
In the following list, earlier operations bind more tightly than later operations:
eqn
and the troff eqn implementation (including GNU
troff).
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.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.
eqn reference was written by
Kristaps Dzonsons
<kristaps@bsd.lv>.
| September 4, 2017 | NetBSD 9.4 |