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+;;; flx.el --- fuzzy matching with good sorting
+
+;; Copyright © 2013, 2015 Le Wang
+
+;; Author: Le Wang
+;; Maintainer: Le Wang
+;; Description: fuzzy matching with good sorting
+;; Created: Wed Apr 17 01:01:41 2013 (+0800)
+;; Version: 0.6.1
+;; Package-Version: 20151030.1112
+;; Package-Requires: ((cl-lib "0.3"))
+;; URL: https://github.com/lewang/flx
+
+;; This file is NOT part of GNU Emacs.
+
+;;; License
+
+;; This program is free software; you can redistribute it and/or
+;; modify it under the terms of the GNU General Public License as
+;; published by the Free Software Foundation; either version 3, or
+;; (at your option) any later version.
+;;
+;; This program is distributed in the hope that it will be useful,
+;; but WITHOUT ANY WARRANTY; without even the implied warranty of
+;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+;; General Public License for more details.
+;;
+;; You should have received a copy of the GNU General Public License
+;; along with this program; see the file COPYING.  If not, write to
+;; the Free Software Foundation, Inc., 51 Franklin Street, Fifth
+;; Floor, Boston, MA 02110-1301, USA.
+
+;;; Commentary:
+
+;; Implementation notes
+;; --------------------
+;;
+;; Use defsubst instead of defun
+;;
+;; * Using bitmaps to check for matches worked out to be SLOWER than just
+;;   scanning the string and using `flx-get-matches'.
+;;
+;; * Consing causes GC, which can often slowdown Emacs more than the benefits
+;;   of an optimization.
+
+;;; Acknowledgments
+
+;; Scott Frazer's blog entry http://scottfrazersblog.blogspot.com.au/2009/12/emacs-better-ido-flex-matching.html
+;; provided a lot of inspiration.
+;; ido-hacks was helpful for ido optimization
+
+;;; Code:
+
+(require 'cl-lib)
+
+(defgroup flx nil
+  "Fuzzy matching with good sorting"
+  :group 'convenience
+  :prefix "flx-")
+
+(defcustom flx-word-separators '(?\  ?- ?_ ?: ?. ?/ ?\\)
+  "List of characters that act as word separators in flx"
+  :type '(repeat character)
+  :group 'flx)
+
+(defface flx-highlight-face  '((t (:inherit font-lock-variable-name-face :bold t :underline t)))
+  "Face used by flx for highlighting flx match characters."
+  :group 'flx)
+
+;;; Do we need more word separators than ST?
+(defsubst flx-word-p (char)
+  "Check if CHAR is a word character."
+  (and char
+       (not (memq char flx-word-separators))))
+
+(defsubst flx-capital-p (char)
+  "Check if CHAR is an uppercase character."
+  (and char
+       (flx-word-p char)
+       (= char (upcase char))))
+
+(defsubst flx-boundary-p (last-char char)
+  "Check if LAST-CHAR is the end of a word and CHAR the start of the next.
+
+This function is camel-case aware."
+  (or (null last-char)
+      (and (not (flx-capital-p last-char))
+           (flx-capital-p char))
+      (and (not (flx-word-p last-char))
+           (flx-word-p char))))
+
+(defsubst flx-inc-vec (vec &optional inc beg end)
+  "Increment each element of vectory by INC(default=1)
+from BEG (inclusive) to END (not inclusive)."
+  (or inc
+      (setq inc 1))
+  (or beg
+      (setq beg 0))
+  (or end
+      (setq end (length vec)))
+  (while (< beg end)
+    (cl-incf (aref vec beg) inc)
+    (cl-incf beg))
+  vec)
+
+(defun flx-get-hash-for-string (str heatmap-func)
+  "Return hash-table for string where keys are characters.
+Value is a sorted list of indexes for character occurrences."
+  (let* ((res (make-hash-table :test 'eq :size 32))
+         (str-len (length str))
+         down-char)
+    (cl-loop for index from (1- str-len) downto 0
+             for char = (aref str index)
+          do (progn
+               ;; simulate `case-fold-search'
+               (if (flx-capital-p char)
+                   (progn
+                     (push index (gethash char res))
+                     (setq down-char (downcase char)))
+                 (setq down-char char))
+               (push index (gethash down-char res))))
+    (puthash 'heatmap (funcall heatmap-func str) res)
+    res))
+
+;; So we store one fixnum per character.  Is this too memory inefficient?
+(defun flx-get-heatmap-str (str &optional group-separator)
+  "Generate the heatmap vector of string.
+
+See documentation for logic."
+  (let* ((str-len (length str))
+         (str-last-index (1- str-len))
+         ;; ++++ base
+         (scores (make-vector str-len -35))
+         (penalty-lead ?.)
+         (groups-alist (list (list -1 0))))
+    ;; ++++ final char bonus
+    (cl-incf (aref scores str-last-index) 1)
+    ;; Establish baseline mapping
+    (cl-loop for char across str
+          for index from 0
+          with last-char = nil
+          with group-word-count = 0
+          do (progn
+               (let ((effective-last-char
+                      ;; before we find any words, all separaters are
+                      ;; considered words of length 1.  This is so "foo/__ab"
+                      ;; gets penalized compared to "foo/ab".
+                      (if (zerop group-word-count) nil last-char)))
+                 (when (flx-boundary-p effective-last-char char)
+                   (setcdr (cdar groups-alist) (cons index (cl-cddar groups-alist))))
+                 (when (and (not (flx-word-p last-char))
+                            (flx-word-p char))
+                   (cl-incf group-word-count)))
+               ;; ++++ -45 penalize extension
+               (when (eq last-char penalty-lead)
+                 (cl-incf (aref scores index) -45))
+               (when (eq group-separator char)
+                 (setcar (cdar groups-alist) group-word-count)
+                 (setq group-word-count 0)
+                 (push (nconc (list index group-word-count)) groups-alist))
+               (if (= index str-last-index)
+                   (setcar (cdar groups-alist) group-word-count)
+                 (setq last-char char))))
+    (let* ((group-count (length groups-alist))
+           (separator-count (1- group-count)))
+      ;; ++++ slash group-count penalty
+      (unless (zerop separator-count)
+        (flx-inc-vec scores (* -2 group-count)))
+      ;; score each group further
+      (cl-loop for group in groups-alist
+            for index from separator-count downto 0
+            with last-group-limit = nil
+            with basepath-found = nil
+            do (let ((group-start (car group))
+                     (word-count (cadr group))
+                     ;; this is the number of effective word groups
+                     (words-length (length (cddr group)))
+                     basepath-p)
+                 (when (and (not (zerop words-length))
+                            (not basepath-found))
+                   (setq basepath-found t)
+                   (setq basepath-p t))
+                 (let (num)
+                   (setq num
+                         (if basepath-p
+                             (+ 35
+                                ;; ++++ basepath separator-count boosts
+                                (if (> separator-count 1)
+                                    (1- separator-count)
+                                  0)
+                                ;; ++++ basepath word count penalty
+                                (- word-count))
+                           ;; ++++ non-basepath penalties
+                           (if (= index 0)
+                               -3
+                             (+ -5 (1- index)))))
+                   (flx-inc-vec scores num (1+ group-start) last-group-limit))
+                 (cl-loop for word in (cddr group)
+                       for word-index from (1- words-length) downto 0
+                       with last-word = (or last-group-limit
+                                            str-len)
+                       do (progn
+                            (cl-incf (aref scores word)
+                                  ;; ++++  beg word bonus AND
+                                  85)
+                            (cl-loop for index from word below last-word
+                                  for char-i from 0
+                                  do (cl-incf (aref scores index)
+                                           (-
+                                            ;; ++++ word order penalty
+                                            (* -3 word-index)
+                                            ;; ++++ char order penalty
+                                            char-i)))
+                            (setq last-word word)))
+                 (setq last-group-limit (1+ group-start)))))
+    scores))
+
+(defun flx-get-heatmap-file (filename)
+  "Return heatmap vector for filename."
+  (flx-get-heatmap-str filename ?/))
+
+
+(defsubst flx-bigger-sublist (sorted-list val)
+  "Return sublist bigger than VAL from sorted SORTED-LIST
+
+  if VAL is nil, return entire list."
+  (if val
+      (cl-loop for sub on sorted-list
+            do (when (> (car sub) val)
+                 (cl-return sub)))
+      sorted-list))
+
+(defun flx-make-filename-cache ()
+  "Return cache hashtable appropraite for storing filenames."
+  (flx-make-string-cache 'flx-get-heatmap-file))
+
+(defun flx-make-string-cache (&optional heat-func)
+  "Return cache hashtable appropraite for storing strings."
+  (let ((hash (make-hash-table :test 'equal
+                               :size 4096)))
+    (puthash 'heatmap-func (or heat-func 'flx-get-heatmap-str) hash)
+    hash))
+
+(defun flx-process-cache (str cache)
+  "Get calculated heatmap from cache, add it if necessary."
+  (let ((res (when cache
+               (gethash str cache))))
+    (or res
+        (progn
+          (setq res (flx-get-hash-for-string
+                     str
+                     (or (and cache (gethash 'heatmap-func cache))
+                         'flx-get-heatmap-str)))
+          (when cache
+            (puthash str res cache))
+          res))))
+
+(defun flx-find-best-match (str-info
+                            heatmap
+                            greater-than
+                            query
+                            query-length
+                            q-index
+                            match-cache)
+  "Recursively compute the best match for a string, passed as STR-INFO and
+HEATMAP, according to QUERY.
+
+This function uses MATCH-CACHE to memoize its return values.
+For other parameters, see `flx-score'"
+
+  ;; Here, we use a simple N'ary hashing scheme
+  ;; You could use (/ hash-key query-length) to get greater-than
+  ;; Or, (mod hash-key query-length) to get q-index
+  ;; We use this instead of a cons key for the sake of efficiency
+  (let* ((hash-key (+ q-index
+                      (* (or greater-than 0)
+                         query-length)))
+         (hash-value (gethash hash-key match-cache)))
+    (if hash-value
+        ;; Here, we use the value 'no-match to distinguish a cache miss
+        ;; from a nil (i.e. non-matching) return value
+        (if (eq hash-value 'no-match)
+            nil
+          hash-value)
+      (let ((indexes (flx-bigger-sublist
+                       (gethash (aref query q-index) str-info)
+                       greater-than))
+            (match)
+            (temp-score)
+            (best-score most-negative-fixnum))
+
+        ;; Matches are of the form:
+        ;; ((match_indexes) . (score . contiguous-count))
+        (if (>= q-index (1- query-length))
+            ;; At the tail end of the recursion, simply
+            ;; generate all possible matches with their scores
+            ;; and return the list to parent.
+            (setq match (mapcar (lambda (index)
+                                  (cons (list index)
+                                        (cons (aref heatmap index) 0)))
+                                indexes))
+          (dolist (index indexes)
+            (dolist (elem (flx-find-best-match str-info
+                                               heatmap
+                                               index
+                                               query
+                                               query-length
+                                               (1+ q-index)
+                                               match-cache))
+              (setq temp-score
+                    (if (= (1- (caar elem)) index)
+                        (+ (cadr elem)
+                           (aref heatmap index)
+
+                           ;; boost contiguous matches
+                           (* (min (cddr elem)
+                                   3)
+                              15)
+                           60)
+                      (+ (cadr elem)
+                         (aref heatmap index))))
+
+              ;; We only care about the optimal match, so only
+              ;; forward the match with the best score to parent
+              (when (> temp-score best-score)
+                (setq best-score temp-score
+                      match (list (cons (cons index (car elem))
+                                        (cons temp-score
+                                              (if (= (1- (caar elem))
+                                                     index)
+                                                  (1+ (cddr elem))
+                                                0)))))))))
+
+        ;; Calls are cached to avoid exponential time complexity
+        (puthash hash-key
+                 (if match match 'no-match)
+                 match-cache)
+        match))))
+
+(defun flx-score (str query &optional cache)
+  "Return best score matching QUERY against STR"
+  (unless (or (zerop (length query))
+              (zerop (length str)))
+    (let*
+        ((str-info (flx-process-cache str cache))
+         (heatmap (gethash 'heatmap str-info))
+         (query-length (length query))
+         (full-match-boost (and (< 1 query-length)
+                                (< query-length 5)))
+
+         ;; Raise recursion limit
+         (max-lisp-eval-depth 5000)
+         (max-specpdl-size 10000)
+
+         ;; Dynamic Programming table for memoizing flx-find-best-match
+         (match-cache (make-hash-table :test 'eql :size 10))
+
+         (optimal-match (flx-find-best-match str-info
+                                             heatmap
+                                             nil
+                                             query
+                                             query-length
+                                             0
+                                             match-cache)))
+      ;; Postprocess candidate
+      (and optimal-match
+           (cons
+            ;; This is the computed score, adjusted to boost the scores
+            ;; of exact matches.
+            (if (and full-match-boost
+                     (=  (length (caar optimal-match))
+                         (length str)))
+                (+ (cl-cadar optimal-match) 10000)
+              (cl-cadar optimal-match))
+
+            ;; This is the list of match positions
+            (caar optimal-match))))))
+
+(defun flx-propertize (obj score &optional add-score)
+  "Return propertized copy of obj according to score.
+
+SCORE of nil means to clear the properties."
+  (let ((block-started (cadr score))
+        (last-char nil)
+        (str (if (consp obj)
+                 (substring-no-properties (car obj))
+               (substring-no-properties obj))))
+
+    (when score
+      (dolist (char (cdr score))
+        (when (and last-char
+                   (not (= (1+ last-char) char)))
+          (put-text-property block-started  (1+ last-char) 'face 'flx-highlight-face str)
+          (setq block-started char))
+        (setq last-char char))
+      (put-text-property block-started  (1+ last-char) 'face 'flx-highlight-face str)
+      (when add-score
+        (setq str (format "%s [%s]" str (car score)))))
+    (if (consp obj)
+        (cons str (cdr obj))
+      str)))
+
+
+
+(defvar flx-file-cache nil
+  "Cached heatmap info about strings.")
+
+;;; reset value on every file load.
+(setq flx-file-cache (flx-make-filename-cache))
+
+(defvar flx-strings-cache nil
+  "Cached heatmap info about filenames.")
+
+;;; reset value on every file load.
+(setq flx-strings-cache (flx-make-string-cache))
+
+
+(provide 'flx)
+
+;;; flx.el ends here