Add union' and intersection' to rx (bug#37849)

These character set operations, together with `not' for set
complement, improve the compositionality of rx, and reduce duplication
in complicated cases.  Named character classes are not permitted in
set operations.

* lisp/emacs-lisp/rx.el (rx--translate-any): Split into multiple
functions.
(rx--foldl, rx--parse-any, rx--generate-alt, rx--intervals-to-alt)
(rx--complement-intervals, rx--intersect-intervals)
(rx--union-intervals, rx--charset-intervals, rx--charset-union)
(rx--charset-all, rx--charset-intersection, rx--translate-union)
(rx--translate-intersection): New.
(rx--translate-not, rx--translate-form, rx--builtin-forms, rx):
Add `union' and `intersection'.
* test/lisp/emacs-lisp/rx-tests.el (rx-union ,rx-def-in-union)
(rx-intersection, rx-def-in-intersection): New tests.
* doc/lispref/searching.texi (Rx Constructs):
* etc/NEWS:
Document `union' and `intersection'.
This commit is contained in:
Mattias Engdegård 2019-12-06 22:23:57 +01:00
parent 9546a2a0d6
commit ea93326cc0
4 changed files with 284 additions and 93 deletions

View file

@ -1214,11 +1214,21 @@ Corresponding string regexp: @samp{[@dots{}]}
@item @code{(not @var{charspec})}
@cindex @code{not} in rx
Match a character not included in @var{charspec}. @var{charspec} can
be an @code{any}, @code{not}, @code{syntax} or @code{category} form, or a
character class.@*
be an @code{any}, @code{not}, @code{union}, @code{intersection},
@code{syntax} or @code{category} form, or a character class.@*
Corresponding string regexp: @samp{[^@dots{}]}, @samp{\S@var{code}},
@samp{\C@var{code}}
@item @code{(union @var{charset}@dots{})}
@itemx @code{(intersection @var{charset}@dots{})}
@cindex @code{union} in rx
@cindex @code{intersection} in rx
Match a character that matches the union or intersection,
respectively, of the @var{charset}s. Each @var{charset} can be an
@code{any} form without character classes, or a @code{union},
@code{intersection} or @code{not} form whose arguments are also
@var{charset}s.
@item @code{not-newline}, @code{nonl}
@cindex @code{not-newline} in rx
@cindex @code{nonl} in rx

View file

@ -2110,9 +2110,14 @@ at run time, instead of a constant string.
These macros add new forms to the rx notation.
+++
*** 'anychar' is now an alias for 'anything'
*** 'anychar' is now an alias for 'anything'.
Both match any single character; 'anychar' is more descriptive.
+++
*** New 'union' and 'intersection' forms for character sets.
These permit composing character-matching expressions from simpler
parts.
** Frames
+++

View file

@ -246,6 +246,14 @@ Return (REGEXP . PRECEDENCE)."
(setq list (cdr list)))
(null list))
(defun rx--foldl (f x l)
"(F (F (F X L0) L1) L2) ...
Left-fold the list L, starting with X, by the binary function F."
(while l
(setq x (funcall f x (car l)))
(setq l (cdr l)))
x)
(defun rx--translate-or (body)
"Translate an or-pattern of zero or more rx items.
Return (REGEXP . PRECEDENCE)."
@ -343,22 +351,11 @@ INTERVALS is a list of (START . END) with START ≤ END, sorted by START."
(setq tail d)))
intervals))
;; FIXME: Consider expanding definitions inside (any ...) and (not ...),
;; and perhaps allow (any ...) inside (any ...).
;; It would be benefit composability (build a character alternative by pieces)
;; and be handy for obtaining the complement of a defined set of
;; characters. (See, for example, python.el:421, `not-simple-operator'.)
;; (Expansion in other non-rx positions is probably not a good idea:
;; syntax, category, backref, and the integer parameters of group-n,
;; =, >=, **, repeat)
;; Similar effect could be attained by ensuring that
;; (or (any X) (any Y)) -> (any X Y), and find a way to compose negative
;; sets. `and' is taken, but we could add
;; (intersection (not (any X)) (not (any Y))) -> (not (any X Y)).
(defun rx--translate-any (negated body)
"Translate an (any ...) construct. Return (REGEXP . PRECEDENCE).
If NEGATED, negate the sense."
(defun rx--parse-any (body)
"Parse arguments of an (any ...) construct.
Return (INTERVALS . CLASSES), where INTERVALS is a sorted list of
disjoint intervals (each a cons of chars), and CLASSES
a list of named character classes in the order they occur in BODY."
(let ((classes nil)
(strings nil)
(conses nil))
@ -380,81 +377,109 @@ If NEGATED, negate the sense."
(or (memq class classes)
(progn (push class classes) t))))))
(t (error "Invalid rx `any' argument: %s" arg))))
(let ((items
;; Translate strings and conses into nonoverlapping intervals,
;; and add classes as symbols at the end.
(append
(rx--condense-intervals
(sort (append conses
(mapcan #'rx--string-to-intervals strings))
#'car-less-than-car))
(reverse classes))))
(cons (rx--condense-intervals
(sort (append conses
(mapcan #'rx--string-to-intervals strings))
#'car-less-than-car))
(reverse classes))))
;; Move lone ] and range ]-x to the start.
(let ((rbrac-l (assq ?\] items)))
(when rbrac-l
(setq items (cons rbrac-l (delq rbrac-l items)))))
(defun rx--generate-alt (negated intervals classes)
"Generate a character alternative. Return (REGEXP . PRECEDENCE).
If NEGATED is non-nil, negate the result; INTERVALS is a sorted
list of disjoint intervals and CLASSES a list of named character
classes."
(let ((items (append intervals classes)))
;; Move lone ] and range ]-x to the start.
(let ((rbrac-l (assq ?\] items)))
(when rbrac-l
(setq items (cons rbrac-l (delq rbrac-l items)))))
;; Split x-] and move the lone ] to the start.
(let ((rbrac-r (rassq ?\] items)))
(when (and rbrac-r (not (eq (car rbrac-r) ?\])))
(setcdr rbrac-r ?\\)
(setq items (cons '(?\] . ?\]) items))))
;; Split x-] and move the lone ] to the start.
(let ((rbrac-r (rassq ?\] items)))
(when (and rbrac-r (not (eq (car rbrac-r) ?\])))
(setcdr rbrac-r ?\\)
(setq items (cons '(?\] . ?\]) items))))
;; Split ,-- (which would end up as ,- otherwise).
(let ((dash-r (rassq ?- items)))
(when (eq (car dash-r) ?,)
(setcdr dash-r ?,)
(setq items (nconc items '((?- . ?-))))))
;; Split ,-- (which would end up as ,- otherwise).
(let ((dash-r (rassq ?- items)))
(when (eq (car dash-r) ?,)
(setcdr dash-r ?,)
(setq items (nconc items '((?- . ?-))))))
;; Remove - (lone or at start of interval)
(let ((dash-l (assq ?- items)))
(when dash-l
(if (eq (cdr dash-l) ?-)
(setq items (delq dash-l items)) ; Remove lone -
(setcar dash-l ?.)) ; Reduce --x to .-x
(setq items (nconc items '((?- . ?-))))))
;; Remove - (lone or at start of interval)
(let ((dash-l (assq ?- items)))
(when dash-l
(if (eq (cdr dash-l) ?-)
(setq items (delq dash-l items)) ; Remove lone -
(setcar dash-l ?.)) ; Reduce --x to .-x
(setq items (nconc items '((?- . ?-))))))
;; Deal with leading ^ and range ^-x.
(when (and (consp (car items))
(eq (caar items) ?^)
(cdr items))
;; Move ^ and ^-x to second place.
(setq items (cons (cadr items)
(cons (car items) (cddr items)))))
;; Deal with leading ^ and range ^-x.
(when (and (consp (car items))
(eq (caar items) ?^)
(cdr items))
;; Move ^ and ^-x to second place.
(setq items (cons (cadr items)
(cons (car items) (cddr items)))))
(cond
;; Empty set: if negated, any char, otherwise match-nothing.
((null items)
(if negated
(rx--translate-symbol 'anything)
(rx--empty)))
;; Single non-negated character.
((and (null (cdr items))
(consp (car items))
(eq (caar items) (cdar items))
(not negated))
(cons (list (regexp-quote (char-to-string (caar items))))
t))
;; At least one character or class, possibly negated.
(t
(cons
(list
(concat
"["
(and negated "^")
(mapconcat (lambda (item)
(cond ((symbolp item)
(format "[:%s:]" item))
((eq (car item) (cdr item))
(char-to-string (car item)))
((eq (1+ (car item)) (cdr item))
(string (car item) (cdr item)))
(t
(string (car item) ?- (cdr item)))))
items nil)
"]"))
t))))))
(cond
;; Empty set: if negated, any char, otherwise match-nothing.
((null items)
(if negated
(rx--translate-symbol 'anything)
(rx--empty)))
;; Single non-negated character.
((and (null (cdr items))
(consp (car items))
(eq (caar items) (cdar items))
(not negated))
(cons (list (regexp-quote (char-to-string (caar items))))
t))
;; At least one character or class, possibly negated.
(t
(cons
(list
(concat
"["
(and negated "^")
(mapconcat (lambda (item)
(cond ((symbolp item)
(format "[:%s:]" item))
((eq (car item) (cdr item))
(char-to-string (car item)))
((eq (1+ (car item)) (cdr item))
(string (car item) (cdr item)))
(t
(string (car item) ?- (cdr item)))))
items nil)
"]"))
t)))))
(defun rx--translate-any (negated body)
"Translate an (any ...) construct. Return (REGEXP . PRECEDENCE).
If NEGATED, negate the sense."
(let ((parsed (rx--parse-any body)))
(rx--generate-alt negated (car parsed) (cdr parsed))))
(defun rx--intervals-to-alt (negated intervals)
"Generate a character alternative from an interval set.
Return (REGEXP . PRECEDENCE).
INTERVALS is a sorted list of disjoint intervals.
If NEGATED, negate the sense."
;; Detect whether the interval set is better described in
;; complemented form. This is not just a matter of aesthetics: any
;; range from ASCII to raw bytes will automatically exclude the
;; entire non-ASCII Unicode range by the regexp engine.
(if (rx--every (lambda (iv) (not (<= (car iv) #x3ffeff (cdr iv))))
intervals)
(rx--generate-alt negated intervals nil)
(rx--generate-alt
(not negated) (rx--complement-intervals intervals) nil)))
;; FIXME: Consider turning `not' into a variadic operator, following SRE:
;; (not A B) = (not (union A B)) = (intersection (not A) (not B)), and
;; (not) = anychar.
;; Maybe allow singleton characters as arguments.
(defun rx--translate-not (negated body)
"Translate a (not ...) construct. Return (REGEXP . PRECEDENCE).
@ -472,10 +497,14 @@ If NEGATED, negate the sense (thus making it positive)."
('category
(rx--translate-category (not negated) (cdr arg)))
('not
(rx--translate-not (not negated) (cdr arg))))))
(rx--translate-not (not negated) (cdr arg)))
('union
(rx--translate-union (not negated) (cdr arg)))
('intersection
(rx--translate-intersection (not negated) (cdr arg))))))
((let ((class (cdr (assq arg rx--char-classes))))
(and class
(rx--translate-any (not negated) (list class)))))
(rx--generate-alt (not negated) nil (list class)))))
((eq arg 'word-boundary)
(rx--translate-symbol
(if negated 'word-boundary 'not-word-boundary)))
@ -484,6 +513,91 @@ If NEGATED, negate the sense (thus making it positive)."
(rx--translate-not negated (list expanded)))))
(t (error "Illegal argument to rx `not': %S" arg)))))
(defun rx--complement-intervals (intervals)
"Complement of the interval list INTERVALS."
(let ((compl nil)
(c 0))
(dolist (iv intervals)
(when (< c (car iv))
(push (cons c (1- (car iv))) compl))
(setq c (1+ (cdr iv))))
(when (< c (max-char))
(push (cons c (max-char)) compl))
(nreverse compl)))
(defun rx--intersect-intervals (ivs-a ivs-b)
"Intersection of the interval lists IVS-A and IVS-B."
(let ((isect nil))
(while (and ivs-a ivs-b)
(let ((a (car ivs-a))
(b (car ivs-b)))
(cond
((< (cdr a) (car b)) (setq ivs-a (cdr ivs-a)))
((> (car a) (cdr b)) (setq ivs-b (cdr ivs-b)))
(t
(push (cons (max (car a) (car b))
(min (cdr a) (cdr b)))
isect)
(setq ivs-a (cdr ivs-a))
(setq ivs-b (cdr ivs-b))
(cond ((< (cdr a) (cdr b))
(push (cons (1+ (cdr a)) (cdr b))
ivs-b))
((> (cdr a) (cdr b))
(push (cons (1+ (cdr b)) (cdr a))
ivs-a)))))))
(nreverse isect)))
(defun rx--union-intervals (ivs-a ivs-b)
"Union of the interval lists IVS-A and IVS-B."
(rx--complement-intervals
(rx--intersect-intervals
(rx--complement-intervals ivs-a)
(rx--complement-intervals ivs-b))))
(defun rx--charset-intervals (charset)
"Return a sorted list of non-adjacent disjoint intervals from CHARSET.
CHARSET is any expression allowed in a character set expression:
either `any' (no classes permitted), or `not', `union' or `intersection'
forms whose arguments are charsets."
(pcase charset
(`(,(or 'any 'in 'char) . ,body)
(let ((parsed (rx--parse-any body)))
(when (cdr parsed)
(error
"Character class not permitted in set operations: %S"
(cadr parsed)))
(car parsed)))
(`(not ,x) (rx--complement-intervals (rx--charset-intervals x)))
(`(union . ,xs) (rx--charset-union xs))
(`(intersection . ,xs) (rx--charset-intersection xs))
(_ (let ((expanded (rx--expand-def charset)))
(if expanded
(rx--charset-intervals expanded)
(error "Bad character set: %S" charset))))))
(defun rx--charset-union (charsets)
"Union of CHARSETS, as a set of intervals."
(rx--foldl #'rx--union-intervals nil
(mapcar #'rx--charset-intervals charsets)))
(defconst rx--charset-all (list (cons 0 (max-char))))
(defun rx--charset-intersection (charsets)
"Intersection of CHARSETS, as a set of intervals."
(rx--foldl #'rx--intersect-intervals rx--charset-all
(mapcar #'rx--charset-intervals charsets)))
(defun rx--translate-union (negated body)
"Translate a (union ...) construct. Return (REGEXP . PRECEDENCE).
If NEGATED, negate the sense."
(rx--intervals-to-alt negated (rx--charset-union body)))
(defun rx--translate-intersection (negated body)
"Translate an (intersection ...) construct. Return (REGEXP . PRECEDENCE).
If NEGATED, negate the sense."
(rx--intervals-to-alt negated (rx--charset-intersection body)))
(defun rx--atomic-regexp (item)
"ITEM is (REGEXP . PRECEDENCE); return a regexp of precedence t."
(if (eq (cdr item) t)
@ -862,6 +976,8 @@ can expand to any number of values."
((or 'any 'in 'char) (rx--translate-any nil body))
('not-char (rx--translate-any t body))
('not (rx--translate-not nil body))
('union (rx--translate-union nil body))
('intersection (rx--translate-intersection nil body))
('repeat (rx--translate-repeat body))
('= (rx--translate-= body))
@ -920,7 +1036,7 @@ can expand to any number of values."
(t (error "Unknown rx form `%s'" op)))))))
(defconst rx--builtin-forms
'(seq sequence : and or | any in char not-char not
'(seq sequence : and or | any in char not-char not union intersection
repeat = >= **
zero-or-more 0+ *
one-or-more 1+ +
@ -1033,8 +1149,11 @@ CHAR Match a literal character.
character, a string, a range as string \"A-Z\" or cons
(?A . ?Z), or a character class (see below). Alias: in, char.
(not CHARSPEC) Match one character not matched by CHARSPEC. CHARSPEC
can be (any ...), (syntax ...), (category ...),
or a character class.
can be (any ...), (union ...), (intersection ...),
(syntax ...), (category ...), or a character class.
(union CHARSET...) Union of CHARSETs.
(intersection CHARSET...) Intersection of CHARSETs.
CHARSET is (any...), (not...), (union...) or (intersection...).
not-newline Match any character except a newline. Alias: nonl.
anychar Match any character. Alias: anything.
unmatchable Never match anything at all.

View file

@ -274,6 +274,63 @@
(should (equal (rx (not (not ascii)) (not (not (not (any "a-z")))))
"[[:ascii:]][^a-z]")))
(ert-deftest rx-union ()
(should (equal (rx (union))
"\\`a\\`"))
(should (equal (rx (union (any "ba")))
"[ab]"))
(should (equal (rx (union (any "a-f") (any "c-k" ?y) (any ?r "x-z")))
"[a-krx-z]"))
(should (equal (rx (union (not (any "a-m")) (not (any "f-p"))))
"[^f-m]"))
(should (equal (rx (union (any "e-m") (not (any "a-z"))))
"[^a-dn-z]"))
(should (equal (rx (union (not (any "g-r")) (not (any "t"))))
"[^z-a]"))
(should (equal (rx (not (union (not (any "g-r")) (not (any "t")))))
"\\`a\\`"))
(should (equal (rx (union (union (any "a-f") (any "u-z"))
(any "g-r")))
"[a-ru-z]"))
(should (equal (rx (union (intersection (any "c-z") (any "a-g"))
(not (any "a-k"))))
"[^abh-k]")))
(ert-deftest rx-def-in-union ()
(rx-let ((a (any "badc"))
(b (union a (any "def"))))
(should (equal(rx (union b (any "q")))
"[a-fq]"))))
(ert-deftest rx-intersection ()
(should (equal (rx (intersection))
"[^z-a]"))
(should (equal (rx (intersection (any "ba")))
"[ab]"))
(should (equal (rx (intersection (any "a-j" "u-z") (any "c-k" ?y)
(any "a-i" "x-z")))
"[c-iy]"))
(should (equal (rx (intersection (not (any "a-m")) (not (any "f-p"))))
"[^a-p]"))
(should (equal (rx (intersection (any "a-z") (not (any "g-q"))))
"[a-fr-z]"))
(should (equal (rx (intersection (any "a-d") (any "e")))
"\\`a\\`"))
(should (equal (rx (not (intersection (any "a-d") (any "e"))))
"[^z-a]"))
(should (equal (rx (intersection (any "d-u")
(intersection (any "e-z") (any "a-m"))))
"[e-m]"))
(should (equal (rx (intersection (union (any "a-f") (any "f-t"))
(any "e-w")))
"[e-t]")))
(ert-deftest rx-def-in-intersection ()
(rx-let ((a (any "a-g"))
(b (intersection a (any "d-j"))))
(should (equal(rx (intersection b (any "e-k")))
"[e-g]"))))
(ert-deftest rx-group ()
(should (equal (rx (group nonl) (submatch "x")
(group-n 3 "y") (submatch-n 13 "z") (backref 1))