lisp/calc/calc-aent.el

   1 ;;; calc-aent.el --- algebraic entry functions for Calc
   2
   3 ;; Copyright (C) 1990-1993, 2001-2015 Free Software Foundation, Inc.
   4
   5 ;; Author: Dave Gillespie <daveg@synaptics.com>
   6 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
   7
   8 ;; This file is part of GNU Emacs.
   9
  10 ;; GNU Emacs is free software: you can redistribute it and/or modify
  11 ;; it under the terms of the GNU General Public License as published by
  12 ;; the Free Software Foundation, either version 3 of the License, or
  13 ;; (at your option) any later version.
  14
  15 ;; GNU Emacs is distributed in the hope that it will be useful,
  16 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  17 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  18 ;; GNU General Public License for more details.
  19
  20 ;; You should have received a copy of the GNU General Public License
  21 ;; along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.
  22
  23 ;;; Commentary:
  24
  25 ;;; Code:
  26
  27 ;; This file is autoloaded from calc.el.
  28
  29 (require 'calc)
  30 (require 'calc-macs)
  31
  32 ;; Declare functions which are defined elsewhere.
  33 (declare-function calc-digit-start-entry "calc" ())
  34 (declare-function calc-refresh-evaltos "calc-ext" (&optional which-var))
  35 (declare-function calc-execute-kbd-macro "calc-prog" (mac arg &rest prefix))
  36 (declare-function math-is-true "calc-ext" (expr))
  37 (declare-function calc-explain-why "calc-stuff" (why &optional more))
  38 (declare-function calc-alg-edit "calc-yank" (str))
  39 (declare-function math-composite-inequalities "calc-prog" (x op))
  40 (declare-function math-flatten-lands "calc-rewr" (expr))
  41 (declare-function math-multi-subst "calc-map" (expr olds news))
  42 (declare-function calcFunc-vmatches "calc-rewr" (expr pat))
  43 (declare-function math-simplify "calc-alg" (top-expr))
  44 (declare-function math-known-matrixp "calc-arith" (a))
  45 (declare-function math-parse-fortran-subscr "calc-lang" (sym args))
  46 (declare-function math-to-radians-2 "calc-math" (a &optional force-symbolic))
  47 (declare-function math-read-string "calc-ext" ())
  48 (declare-function math-read-brackets "calc-vec" (space-sep math-rb-close))
  49 (declare-function math-read-angle-brackets "calc-forms" ())
  50 (declare-function math-to-percentsigns "calccomp" (x))
  51
  52 (defvar calc-quick-calc-history nil
  53   "The history list for quick-calc.")
  54
  55 ;;;###autoload
  56 (defun calc-do-quick-calc (&optional insert)
  57   (require 'calc-ext)
  58   (calc-check-defines)
  59   (if (eq major-mode 'calc-mode)
  60       (calc-algebraic-entry t)
  61     (let (buf shortbuf)
  62       (save-excursion
  63         (calc-create-buffer)
  64         (let* ((calc-command-flags nil)
  65                (calc-dollar-values calc-quick-prev-results)
  66                (calc-dollar-used 0)
  67                (enable-recursive-minibuffers t)
  68                (calc-language (if (memq calc-language '(nil big))
  69                                   'flat calc-language))
  70                (entry (calc-do-alg-entry "" "Quick calc: " t 'calc-quick-calc-history))
  71                (alg-exp (mapcar 'math-evaluate-expr entry)))
  72           (when (and (= (length alg-exp) 1)
  73                      (eq (car-safe (car alg-exp)) 'calcFunc-assign)
  74                      (= (length (car alg-exp)) 3)
  75                      (eq (car-safe (nth 1 (car alg-exp))) 'var))
  76             (set (nth 2 (nth 1 (car alg-exp))) (nth 2 (car alg-exp)))
  77             (calc-refresh-evaltos (nth 2 (nth 1 (car alg-exp))))
  78             (setq alg-exp (list (nth 2 (car alg-exp)))))
  79           (setq calc-quick-prev-results alg-exp
  80                 buf (mapconcat (function (lambda (x)
  81                                            (math-format-value x 1000)))
  82                                alg-exp
  83                                " ")
  84                 shortbuf buf)
  85           (if (and (= (length alg-exp) 1)
  86                    (memq (car-safe (car alg-exp)) '(nil bigpos bigneg))
  87                    (< (length buf) 20)
  88                    (= calc-number-radix 10))
  89               (setq buf (concat buf "  ("
  90                                 (let ((calc-number-radix 16))
  91                                   (math-format-value (car alg-exp) 1000))
  92                                 ", "
  93                                 (let ((calc-number-radix 8))
  94                                   (math-format-value (car alg-exp) 1000))
  95                                 ", "
  96                                 (let ((calc-number-radix 2))
  97                                   (math-format-value (car alg-exp) 1000))
  98                                 (if (and (integerp (car alg-exp))
  99                                          (> (car alg-exp) 0)
 100                                          (< (car alg-exp) 127))
 101                                     (format ", \"%c\"" (car alg-exp))
 102                                   "")
 103                                 ")")))
 104           (if (and (< (length buf) (frame-width)) (= (length entry) 1)
 105                    (featurep 'calc-ext))
 106               (let ((long (concat (math-format-value (car entry) 1000)
 107                                   " =>  " buf)))
 108                 (if (<= (length long) (- (frame-width) 8))
 109                     (setq buf long))))
 110           (calc-handle-whys)
 111           (message "Result: %s" buf)))
 112       (if (or insert
 113               (eq last-command-event 10))
 114           (insert shortbuf)
 115         (kill-new shortbuf)))))
 116
 117 ;;;###autoload
 118 (defun calc-do-calc-eval (str separator args)
 119   (calc-check-defines)
 120   (catch 'calc-error
 121     (save-excursion
 122       (calc-create-buffer)
 123       (cond
 124        ((and (consp str) (not (symbolp (car str))))
 125         (let ((calc-language nil)
 126               (math-expr-opers (math-standard-ops))
 127               (calc-internal-prec 12)
 128               (calc-word-size 32)
 129               (calc-symbolic-mode nil)
 130               (calc-matrix-mode nil)
 131               (calc-angle-mode 'deg)
 132               (calc-number-radix 10)
 133               (calc-twos-complement-mode nil)
 134               (calc-leading-zeros nil)
 135               (calc-group-digits nil)
 136               (calc-point-char ".")
 137               (calc-frac-format '(":" nil))
 138               (calc-prefer-frac nil)
 139               (calc-hms-format "%s@ %s' %s\"")
 140               (calc-date-format '((H ":" mm C SS pp " ")
 141                                   Www " " Mmm " " D ", " YYYY))
 142               (calc-float-format '(float 0))
 143               (calc-full-float-format '(float 0))
 144               (calc-complex-format nil)
 145               (calc-matrix-just nil)
 146               (calc-full-vectors t)
 147               (calc-break-vectors nil)
 148               (calc-vector-commas ",")
 149               (calc-vector-brackets "[]")
 150               (calc-matrix-brackets '(R O))
 151               (calc-complex-mode 'cplx)
 152               (calc-infinite-mode nil)
 153               (calc-display-strings nil)
 154               (calc-simplify-mode nil)
 155               (calc-display-working-message 'lots)
 156               (strp (cdr str)))
 157           (while strp
 158             (set (car strp) (nth 1 strp))
 159             (setq strp (cdr (cdr strp))))
 160           (calc-do-calc-eval (car str) separator args)))
 161        ((eq separator 'eval)
 162         (eval str))
 163        ((eq separator 'macro)
 164         (require 'calc-ext)
 165         (let* ((calc-buffer (current-buffer))
 166                (calc-window (get-buffer-window calc-buffer))
 167                (save-window (selected-window)))
 168           (if calc-window
 169               (unwind-protect
 170                   (progn
 171                     (select-window calc-window)
 172                     (calc-execute-kbd-macro str nil (car args)))
 173                 (and (window-point save-window)
 174                      (select-window save-window)))
 175             (save-window-excursion
 176               (select-window (get-largest-window))
 177               (switch-to-buffer calc-buffer)
 178               (calc-execute-kbd-macro str nil (car args)))))
 179         nil)
 180        ((eq separator 'pop)
 181         (or (not (integerp str))
 182             (= str 0)
 183             (calc-pop (min str (calc-stack-size))))
 184         (calc-stack-size))
 185        ((eq separator 'top)
 186         (and (integerp str)
 187              (> str 0)
 188              (<= str (calc-stack-size))
 189              (math-format-value (calc-top-n str (car args)) 1000)))
 190        ((eq separator 'rawtop)
 191         (and (integerp str)
 192              (> str 0)
 193              (<= str (calc-stack-size))
 194              (calc-top-n str (car args))))
 195        (t
 196         (let* ((calc-command-flags nil)
 197                (calc-next-why nil)
 198                (calc-language (if (memq calc-language '(nil big))
 199                                   'flat calc-language))
 200                (calc-dollar-values (mapcar
 201                                     (function
 202                                      (lambda (x)
 203                                        (if (stringp x)
 204                                            (progn
 205                                              (setq x (math-read-exprs x))
 206                                              (if (eq (car-safe x)
 207                                                      'error)
 208                                                  (throw 'calc-error
 209                                                         (calc-eval-error
 210                                                          (cdr x)))
 211                                                (car x)))
 212                                          x)))
 213                                     args))
 214                (calc-dollar-used 0)
 215                (res (if (stringp str)
 216                         (math-read-exprs str)
 217                       (list str)))
 218                buf)
 219           (if (eq (car res) 'error)
 220               (calc-eval-error (cdr res))
 221             (setq res (mapcar 'calc-normalize res))
 222             (and (memq 'clear-message calc-command-flags)
 223                  (message ""))
 224             (cond ((eq separator 'pred)
 225                    (require 'calc-ext)
 226                    (if (= (length res) 1)
 227                        (math-is-true (car res))
 228                      (calc-eval-error '(0 "Single value expected"))))
 229                   ((eq separator 'raw)
 230                    (if (= (length res) 1)
 231                        (car res)
 232                      (calc-eval-error '(0 "Single value expected"))))
 233                   ((eq separator 'list)
 234                    res)
 235                   ((memq separator '(num rawnum))
 236                    (if (= (length res) 1)
 237                        (if (math-constp (car res))
 238                            (if (eq separator 'num)
 239                                (math-format-value (car res) 1000)
 240                              (car res))
 241                          (calc-eval-error
 242                           (list 0
 243                                 (if calc-next-why
 244                                     (calc-explain-why (car calc-next-why))
 245                                   "Number expected"))))
 246                      (calc-eval-error '(0 "Single value expected"))))
 247                   ((eq separator 'push)
 248                    (calc-push-list res)
 249                    nil)
 250                   (t (while res
 251                        (setq buf (concat buf
 252                                          (and buf (or separator ", "))
 253                                          (math-format-value (car res) 1000))
 254                              res (cdr res)))
 255                      buf)))))))))
 256
 257 (defvar calc-eval-error nil
 258   "Determines how calc handles errors.
 259 If nil, return a list containing the character position of error.
 260 STRING means return error message as string rather than list.
 261 The value t means abort and give an error message.")
 262
 263 (defun calc-eval-error (msg)
 264   (if calc-eval-error
 265       (if (eq calc-eval-error 'string)
 266           (nth 1 msg)
 267         (error "%s" (nth 1 msg)))
 268     msg))
 269
 270
 271 ;;;; Reading an expression in algebraic form.
 272
 273 ;;;###autoload
 274 (defun calc-auto-algebraic-entry (&optional prefix)
 275   (interactive "P")
 276   (calc-algebraic-entry prefix t))
 277
 278 ;;;###autoload
 279 (defun calc-algebraic-entry (&optional prefix auto)
 280   (interactive "P")
 281   (calc-wrapper
 282    (let ((calc-language (if prefix nil calc-language))
 283          (math-expr-opers (if prefix (math-standard-ops) (math-expr-ops))))
 284      (calc-alg-entry (and auto (char-to-string last-command-event))))))
 285
 286 (defvar calc-alg-entry-history nil
 287   "History for algebraic entry.")
 288
 289 ;;;###autoload
 290 (defun calc-alg-entry (&optional initial prompt)
 291   (let* ((calc-dollar-values (mapcar #'calc-get-stack-element
 292                                      (nthcdr calc-stack-top calc-stack)))
 293          (calc-dollar-used 0)
 294          (calc-plain-entry t)
 295          (alg-exp (calc-do-alg-entry initial prompt t 'calc-alg-entry-history)))
 296     (if (stringp alg-exp)
 297         (progn
 298           (require 'calc-ext)
 299           (calc-alg-edit alg-exp))
 300       (let* ((calc-simplify-mode (if (eq last-command-event ?\C-j)
 301                                      'none
 302                                    calc-simplify-mode))
 303              (nvals (mapcar 'calc-normalize alg-exp)))
 304         (while alg-exp
 305           (calc-record (if (featurep 'calc-ext) (car alg-exp) (car nvals))
 306                        "alg'")
 307           (calc-pop-push-record-list calc-dollar-used
 308                                      (and (not (equal (car alg-exp)
 309                                                       (car nvals)))
 310                                           (featurep 'calc-ext)
 311                                           "")
 312                                      (list (car nvals)))
 313           (setq alg-exp (cdr alg-exp)
 314                 nvals (cdr nvals)
 315                 calc-dollar-used 0)))
 316       (calc-handle-whys))))
 317
 318 (defvar calc-alg-ent-map
 319   (let ((map (make-sparse-keymap)))
 320     (set-keymap-parent map minibuffer-local-map)
 321     (define-key map "'" 'calcAlg-previous)
 322     (define-key map "`" 'calcAlg-edit)
 323     (define-key map "\C-m" 'calcAlg-enter)
 324     (define-key map "\C-j" 'calcAlg-enter)
 325     map)
 326   "The keymap used for algebraic entry.")
 327
 328 (defvar calc-alg-ent-esc-map
 329   (let ((map (make-keymap))
 330         (i 33))
 331     (set-keymap-parent map esc-map)
 332     (while (< i 127)
 333       (define-key map (vector i) 'calcAlg-escape)
 334       (setq i (1+ i)))
 335     map)
 336   "The keymap used for escapes in algebraic entry.")
 337
 338 (defvar calc-alg-exp)
 339
 340 ;;;###autoload
 341 (defun calc-do-alg-entry (&optional initial prompt no-normalize history)
 342   (let* ((calc-buffer (current-buffer))
 343          (blink-matching-check-function 'calcAlg-blink-matching-check)
 344          (calc-alg-exp 'error))
 345     (define-key calc-alg-ent-map "\e" nil)
 346     (if (eq calc-algebraic-mode 'total)
 347         (define-key calc-alg-ent-map "\e" calc-alg-ent-esc-map)
 348       (define-key calc-alg-ent-map "\e+" 'calcAlg-plus-minus)
 349       (define-key calc-alg-ent-map "\em" 'calcAlg-mod)
 350       (define-key calc-alg-ent-map "\e=" 'calcAlg-equals)
 351       (define-key calc-alg-ent-map "\e\r" 'calcAlg-equals)
 352       (define-key calc-alg-ent-map "\ep" 'previous-history-element)
 353       (define-key calc-alg-ent-map "\en" 'next-history-element)
 354       (define-key calc-alg-ent-map "\e%" 'self-insert-command))
 355     (setq calc-aborted-prefix nil)
 356     (let ((buf (read-from-minibuffer (or prompt "Algebraic: ")
 357                                      (or initial "")
 358                                      calc-alg-ent-map nil history)))
 359       (when (eq calc-alg-exp 'error)
 360         (when (eq (car-safe (setq calc-alg-exp (math-read-exprs buf))) 'error)
 361           (setq calc-alg-exp nil)))
 362       (setq calc-aborted-prefix "alg'")
 363       (or no-normalize
 364           (and calc-alg-exp (setq calc-alg-exp (mapcar 'calc-normalize calc-alg-exp))))
 365       calc-alg-exp)))
 366
 367 (defun calcAlg-plus-minus ()
 368   (interactive)
 369   (if (calc-minibuffer-contains ".* \\'")
 370       (insert "+/- ")
 371     (insert " +/- ")))
 372
 373 (defun calcAlg-mod ()
 374   (interactive)
 375   (if (not (calc-minibuffer-contains ".* \\'"))
 376       (insert " "))
 377   (if (calc-minibuffer-contains ".* mod +\\'")
 378       (if calc-previous-modulo
 379           (insert (math-format-flat-expr calc-previous-modulo 0))
 380         (beep))
 381     (insert "mod ")))
 382
 383 (defun calcAlg-previous ()
 384   (interactive)
 385   (if (calc-minibuffer-contains "\\'")
 386       (previous-history-element 1)
 387     (insert "'")))
 388
 389 (defun calcAlg-equals ()
 390   (interactive)
 391   (unwind-protect
 392       (calcAlg-enter)
 393     (if (consp calc-alg-exp)
 394         (progn (setq prefix-arg (length calc-alg-exp))
 395                (calc-unread-command ?=)))))
 396
 397 (defun calcAlg-escape ()
 398   (interactive)
 399   (calc-unread-command)
 400   (save-excursion
 401     (calc-select-buffer)
 402     (use-local-map calc-mode-map))
 403   (calcAlg-enter))
 404
 405 (defvar calc-plain-entry nil)
 406 (defun calcAlg-edit ()
 407   (interactive)
 408   (if (or (not calc-plain-entry)
 409           (calc-minibuffer-contains
 410            "\\`\\([^\"]*\"[^\"]*\"\\)*[^\"]*\"[^\"]*\\'"))
 411       (insert "`")
 412     (setq calc-alg-exp (minibuffer-contents))
 413     (exit-minibuffer)))
 414
 415 (defvar calc-buffer)
 416
 417 (defun calcAlg-enter ()
 418   (interactive)
 419   (let* ((str (minibuffer-contents))
 420          (exp (and (> (length str) 0)
 421                    (with-current-buffer calc-buffer
 422                      (math-read-exprs str)))))
 423     (if (eq (car-safe exp) 'error)
 424         (progn
 425           (goto-char (minibuffer-prompt-end))
 426           (forward-char (nth 1 exp))
 427           (beep)
 428           (calc-temp-minibuffer-message
 429            (concat " [" (or (nth 2 exp) "Error") "]"))
 430           (calc-clear-unread-commands))
 431       (setq calc-alg-exp (if (calc-minibuffer-contains "\\` *\\[ *\\'")
 432                         '((incomplete vec))
 433                       exp))
 434       (exit-minibuffer))))
 435
 436 (defun calcAlg-blink-matching-check (leftpt rightpt)
 437   (let ((rightchar (char-before rightpt))
 438         (leftchar (if leftpt (char-after leftpt))))
 439     (if (and leftpt
 440              (or (and (= rightchar ?\))
 441                       (= leftchar ?\[))
 442                  (and (= rightchar ?\])
 443                       (= leftchar ?\()))
 444              (save-excursion
 445                (goto-char leftpt)
 446                (looking-at ".+\\(\\.\\.\\|\\\\dots\\|\\\\ldots\\)")))
 447         ;; [2..5) perfectly valid!
 448         nil
 449       (blink-matching-check-mismatch leftpt rightpt))))
 450
 451 ;;;###autoload
 452 (defun calc-alg-digit-entry ()
 453   (calc-alg-entry
 454    (calc-digit-start-entry)))
 455
 456 ;; The variable calc-digit-value is initially declared in calc.el,
 457 ;; but can be set by calcDigit-algebraic and calcDigit-edit.
 458 (defvar calc-digit-value)
 459
 460 ;;;###autoload
 461 (defun calcDigit-algebraic ()
 462   (interactive)
 463   (if (calc-minibuffer-contains ".*[@oh] *[^'m ]+[^'m]*\\'")
 464       (calcDigit-key)
 465     (setq calc-digit-value (minibuffer-contents))
 466     (exit-minibuffer)))
 467
 468 ;;;###autoload
 469 (defun calcDigit-edit ()
 470   (interactive)
 471   (calc-unread-command)
 472   (setq calc-digit-value (minibuffer-contents))
 473   (exit-minibuffer))
 474
 475
 476 ;;; Algebraic expression parsing.   [Public]
 477
 478 (defvar math-read-replacement-list
 479   '(;; Misc symbols
 480     ("±" "+/-")  ; plus or minus
 481     ("×" "*")    ; multiplication sign
 482     ("÷" ":")    ; division sign
 483     ("−" "-")    ; subtraction sign
 484     ("∕" "/")    ; division sign
 485     ("∗" "*")    ; asterisk multiplication
 486     ("∞" "inf")  ; infinity symbol
 487     ("≤" "<=")
 488     ("≥" ">=")
 489     ("≦" "<=")
 490     ("≧" ">=")
 491     ("µ" "μ")
 492     ;; fractions
 493     ("¼" "(1:4)") ; 1/4
 494     ("½" "(1:2)") ; 1/2
 495     ("¾" "(3:4)") ; 3/4
 496     ("⅓" "(1:3)") ; 1/3
 497     ("⅔" "(2:3)") ; 2/3
 498     ("⅕" "(1:5)") ; 1/5
 499     ("⅖" "(2:5)") ; 2/5
 500     ("⅗" "(3:5)") ; 3/5
 501     ("⅘" "(4:5)") ; 4/5
 502     ("⅙" "(1:6)") ; 1/6
 503     ("⅚" "(5:6)") ; 5/6
 504     ("⅛" "(1:8)") ; 1/8
 505     ("⅜" "(3:8)") ; 3/8
 506     ("⅝" "(5:8)") ; 5/8
 507     ("⅞" "(7:8)") ; 7/8
 508     ("⅟" "1:")    ; 1/...
 509     ;; superscripts
 510     ("⁰" "0")  ; 0
 511     ("¹" "1")  ; 1
 512     ("²" "2")  ; 2
 513     ("³" "3")  ; 3
 514     ("⁴" "4")  ; 4
 515     ("⁵" "5")  ; 5
 516     ("⁶" "6")  ; 6
 517     ("⁷" "7")  ; 7
 518     ("⁸" "8")  ; 8
 519     ("⁹" "9")  ; 9
 520     ("⁺" "+")  ; +
 521     ("⁻" "-")  ; -
 522     ("⁽" "(")  ; (
 523     ("⁾" ")")  ; )
 524     ("ⁿ" "n")  ; n
 525     ("ⁱ" "i")  ; i
 526     ;; subscripts
 527     ("₀"  "0")  ; 0
 528     ("₁"  "1")  ; 1
 529     ("₂"  "2")  ; 2
 530     ("₃"  "3")  ; 3
 531     ("₄"  "4")  ; 4
 532     ("₅"  "5")  ; 5
 533     ("₆"  "6")  ; 6
 534     ("₇"  "7")  ; 7
 535     ("₈"  "8")  ; 8
 536     ("₉"  "9")  ; 9
 537     ("₊"  "+")  ; +
 538     ("₋"  "-")  ; -
 539     ("₍"  "(")  ; (
 540     ("₎"  ")"))  ; )
 541   "A list whose elements (old new) indicate replacements to make
 542 in Calc algebraic input.")
 543
 544 (defvar math-read-superscripts
 545   "⁰¹²³⁴⁵⁶⁷⁸⁹⁺⁻⁽⁾ⁿⁱ" ; 0123456789+-()ni
 546   "A string consisting of the superscripts allowed by Calc.")
 547
 548 (defvar math-read-subscripts
 549   "₀₁₂₃₄₅₆₇₈₉₊₋₍₎" ; 0123456789+-()
 550   "A string consisting of the subscripts allowed by Calc.")
 551
 552 ;;;###autoload
 553 (defun math-read-preprocess-string (str)
 554   "Replace some substrings of STR by Calc equivalents."
 555   (setq str
 556         (replace-regexp-in-string (concat "[" math-read-superscripts "]+")
 557                                   "^(\\&)" str))
 558   (setq str
 559         (replace-regexp-in-string (concat "[" math-read-subscripts "]+")
 560                                   "_(\\&)" str))
 561   (let ((rep-list math-read-replacement-list))
 562     (while rep-list
 563       (setq str
 564             (replace-regexp-in-string (nth 0 (car rep-list))
 565                                       (nth 1 (car rep-list)) str))
 566       (setq rep-list (cdr rep-list))))
 567   str)
 568
 569 ;; The next few variables are local to math-read-exprs (and math-read-expr
 570 ;; in calc-ext.el), but are set in functions they call.
 571
 572 (defvar math-exp-pos)
 573 (defvar math-exp-str)
 574 (defvar math-exp-old-pos)
 575 (defvar math-exp-token)
 576 (defvar math-exp-keep-spaces)
 577 (defvar math-expr-data)
 578
 579 ;;;###autoload
 580 (defun math-read-exprs (math-exp-str)
 581   (let ((math-exp-pos 0)
 582         (math-exp-old-pos 0)
 583         (math-exp-keep-spaces nil)
 584         math-exp-token math-expr-data)
 585     (setq math-exp-str (math-read-preprocess-string math-exp-str))
 586     (if (memq calc-language calc-lang-allow-percentsigns)
 587         (setq math-exp-str (math-remove-percentsigns math-exp-str)))
 588     (if calc-language-input-filter
 589         (setq math-exp-str (funcall calc-language-input-filter math-exp-str)))
 590     (while (setq math-exp-token
 591                  (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
 592       (setq math-exp-str
 593             (concat (substring math-exp-str 0 math-exp-token) "\\dots"
 594                             (substring math-exp-str (+ math-exp-token 2)))))
 595     (math-build-parse-table)
 596     (math-read-token)
 597     (let ((val (catch 'syntax (math-read-expr-list))))
 598       (if (stringp val)
 599           (list 'error math-exp-old-pos val)
 600         (if (equal math-exp-token 'end)
 601             val
 602           (list 'error math-exp-old-pos "Syntax error"))))))
 603
 604 ;;;###autoload
 605 (defun math-read-expr-list ()
 606   (let* ((math-exp-keep-spaces nil)
 607          (val (list (math-read-expr-level 0)))
 608          (last val))
 609     (while (equal math-expr-data ",")
 610       (math-read-token)
 611       (let ((rest (list (math-read-expr-level 0))))
 612         (setcdr last rest)
 613         (setq last rest)))
 614     val))
 615
 616 (defvar calc-user-parse-table nil)
 617 (defvar calc-last-main-parse-table nil)
 618 (defvar calc-last-user-lang-parse-table nil)
 619 (defvar calc-last-lang-parse-table nil)
 620 (defvar calc-user-tokens nil)
 621 (defvar calc-user-token-chars nil)
 622
 623 (defvar math-toks nil
 624   "Tokens to pass between math-build-parse-table and math-find-user-tokens.")
 625
 626 ;;;###autoload
 627 (defun math-build-parse-table ()
 628   (let ((mtab (cdr (assq nil calc-user-parse-tables)))
 629         (ltab (cdr (assq calc-language calc-user-parse-tables)))
 630         (lltab (get calc-language 'math-parse-table)))
 631     (or (and (eq mtab calc-last-main-parse-table)
 632              (eq ltab calc-last-user-lang-parse-table)
 633              (eq lltab calc-last-lang-parse-table))
 634         (let ((p (append mtab ltab lltab))
 635               (math-toks nil))
 636           (setq calc-user-parse-table p)
 637           (setq calc-user-token-chars nil)
 638           (while p
 639             (math-find-user-tokens (car (car p)))
 640             (setq p (cdr p)))
 641           (setq calc-user-tokens (mapconcat 'identity
 642                                             (sort (mapcar 'car math-toks)
 643                                                   (function (lambda (x y)
 644                                                               (> (length x)
 645                                                                  (length y)))))
 646                                             "\\|")
 647                 calc-last-main-parse-table mtab
 648                 calc-last-user-lang-parse-table ltab
 649                 calc-last-lang-parse-table lltab)))))
 650
 651 ;;;###autoload
 652 (defun math-find-user-tokens (p)
 653   (while p
 654     (cond ((and (stringp (car p))
 655                 (or (> (length (car p)) 1) (equal (car p) "$")
 656                     (equal (car p) "\""))
 657                 (string-match "[^a-zA-Zα-ωΑ-Ω0-9]" (car p)))
 658            (let ((s (regexp-quote (car p))))
 659              (if (string-match "\\`[a-zA-Zα-ωΑ-Ω0-9]" s)
 660                  (setq s (concat "\\<" s)))
 661              (if (string-match "[a-zA-Zα-ωΑ-Ω0-9]\\'" s)
 662                  (setq s (concat s "\\>")))
 663              (or (assoc s math-toks)
 664                  (progn
 665                    (setq math-toks (cons (list s) math-toks))
 666                    (or (memq (aref (car p) 0) calc-user-token-chars)
 667                        (setq calc-user-token-chars
 668                              (cons (aref (car p) 0)
 669                                    calc-user-token-chars)))))))
 670           ((consp (car p))
 671            (math-find-user-tokens (nth 1 (car p)))
 672            (or (eq (car (car p)) '\?)
 673                (math-find-user-tokens (nth 2 (car p))))))
 674     (setq p (cdr p))))
 675
 676 ;;;###autoload
 677 (defun math-read-token ()
 678   (if (>= math-exp-pos (length math-exp-str))
 679       (setq math-exp-old-pos math-exp-pos
 680             math-exp-token 'end
 681             math-expr-data "\000")
 682     (let (adfn
 683           (ch (aref math-exp-str math-exp-pos)))
 684       (setq math-exp-old-pos math-exp-pos)
 685       (cond ((memq ch '(32 10 9))
 686              (setq math-exp-pos (1+ math-exp-pos))
 687              (if math-exp-keep-spaces
 688                  (setq math-exp-token 'space
 689                        math-expr-data " ")
 690                (math-read-token)))
 691             ((and (memq ch calc-user-token-chars)
 692                   (let ((case-fold-search nil))
 693                     (eq (string-match
 694                          calc-user-tokens math-exp-str math-exp-pos)
 695                         math-exp-pos)))
 696              (setq math-exp-token 'punc
 697                    math-expr-data (math-match-substring math-exp-str 0)
 698                    math-exp-pos (match-end 0)))
 699             ((or (and (>= ch ?a) (<= ch ?z))
 700                  (and (>= ch ?A) (<= ch ?Z))
 701                  (and (>= ch ?α) (<= ch ?ω))
 702                  (and (>= ch ?Α) (<= ch ?Ω)))
 703              (string-match
 704               (cond
 705                ((and (memq calc-language calc-lang-allow-underscores)
 706                      (memq calc-language calc-lang-allow-percentsigns))
 707                 "[a-zA-Zα-ωΑ-Ω0-9_'#]*")
 708                ((memq calc-language calc-lang-allow-underscores)
 709                                "[a-zA-Zα-ωΑ-Ω0-9_#]*")
 710                (t "[a-zA-Zα-ωΑ-Ω0-9'#]*"))
 711               math-exp-str math-exp-pos)
 712              (setq math-exp-token 'symbol
 713                    math-exp-pos (match-end 0)
 714                    math-expr-data (math-restore-dashes
 715                              (math-match-substring math-exp-str 0)))
 716              (if (setq adfn (get calc-language 'math-lang-adjust-words))
 717                  (funcall adfn)))
 718             ((or (and (>= ch ?0) (<= ch ?9))
 719                  (and (eq ch '?\.)
 720                       (eq (string-match "\\.[0-9]" math-exp-str math-exp-pos)
 721                           math-exp-pos))
 722                  (and (eq ch '?_)
 723                       (eq (string-match "_\\.?[0-9]" math-exp-str math-exp-pos)
 724                           math-exp-pos)
 725                       (or (eq math-exp-pos 0)
 726                           (and (not (memq calc-language
 727                                           calc-lang-allow-underscores))
 728                                (eq (string-match "[^])}\"a-zA-Zα-ωΑ-Ω0-9'$]_"
 729                                                  math-exp-str (1- math-exp-pos))
 730                                    (1- math-exp-pos))))))
 731              (or (and (memq calc-language calc-lang-c-type-hex)
 732                       (string-match "0[xX][0-9a-fA-F]+" math-exp-str math-exp-pos))
 733                  (string-match "_?\\([0-9]+.?0*@ *\\)?\\([0-9]+.?0*' *\\)?\\(0*\\([2-9]\\|1[0-4]\\)\\(#[#]?\\|\\^\\^\\)[0-9a-dA-D.]+[eE][-+_]?[0-9]+\\|0*\\([2-9]\\|[0-2][0-9]\\|3[0-6]\\)\\(#[#]?\\|\\^\\^\\)[0-9a-zA-Zα-ωΑ-Ω:.]+\\|[0-9]+:[0-9:]+\\|[0-9.]+\\([eE][-+_]?[0-9]+\\)?\"?\\)?"
 734                                math-exp-str math-exp-pos))
 735              (setq math-exp-token 'number
 736                    math-expr-data (math-match-substring math-exp-str 0)
 737                    math-exp-pos (match-end 0)))
 738             ((and (setq adfn
 739                         (assq ch (get calc-language 'math-lang-read-symbol)))
 740                   (eval (nth 1 adfn)))
 741              (eval (nth 2 adfn)))
 742             ((eq ch ?\$)
 743              (if (eq (string-match "\\$\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
 744                      math-exp-pos)
 745                  (setq math-expr-data (- (string-to-number (math-match-substring
 746                                                             math-exp-str 1))))
 747                (string-match "\\$+" math-exp-str math-exp-pos)
 748                (setq math-expr-data (- (match-end 0) (match-beginning 0))))
 749              (setq math-exp-token 'dollar
 750                    math-exp-pos (match-end 0)))
 751             ((eq ch ?\#)
 752              (if (eq (string-match "#\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
 753                      math-exp-pos)
 754                  (setq math-expr-data (string-to-number
 755                                  (math-match-substring math-exp-str 1))
 756                        math-exp-pos (match-end 0))
 757                (setq math-expr-data 1
 758                      math-exp-pos (1+ math-exp-pos)))
 759              (setq math-exp-token 'hash))
 760             ((eq (string-match "~=\\|<=\\|>=\\|<>\\|/=\\|\\+/-\\|\\\\dots\\|\\\\ldots\\|\\*\\*\\|<<\\|>>\\|==\\|!=\\|&&&\\||||\\|!!!\\|&&\\|||\\|!!\\|:=\\|::\\|=>"
 761                                math-exp-str math-exp-pos)
 762                  math-exp-pos)
 763              (setq math-exp-token 'punc
 764                    math-expr-data (math-match-substring math-exp-str 0)
 765                    math-exp-pos (match-end 0)))
 766             ((and (eq ch ?\")
 767                   (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)"
 768                                 math-exp-str math-exp-pos))
 769              (setq math-exp-token 'string
 770                    math-expr-data (math-match-substring math-exp-str 1)
 771                    math-exp-pos (match-end 0)))
 772             ((and (setq adfn (get calc-language 'math-lang-read))
 773                   (eval (nth 0 adfn))
 774                   (eval (nth 1 adfn))))
 775             ((eq (string-match "%%.*$" math-exp-str math-exp-pos) math-exp-pos)
 776              (setq math-exp-pos (match-end 0))
 777              (math-read-token))
 778             (t
 779              (if (setq adfn (assq ch (get calc-language 'math-punc-table)))
 780                  (setq ch (cdr adfn)))
 781              (setq math-exp-token 'punc
 782                    math-expr-data (char-to-string ch)
 783                    math-exp-pos (1+ math-exp-pos)))))))
 784
 785 (defconst math-alg-inequalities
 786   '(calcFunc-lt calcFunc-gt calcFunc-leq calcFunc-geq
 787                 calcFunc-eq calcFunc-neq))
 788
 789 (defun math-read-expr-level (exp-prec &optional exp-term)
 790   (let* ((math-expr-opers (math-expr-ops))
 791          (x (math-read-factor))
 792          (first t)
 793          op op2)
 794     (while (and (or (and calc-user-parse-table
 795                          (setq op (calc-check-user-syntax x exp-prec))
 796                          (setq x op
 797                                op '("2x" ident 999999 -1)))
 798                     (and (setq op (assoc math-expr-data math-expr-opers))
 799                          (/= (nth 2 op) -1)
 800                          (or (and (setq op2 (assoc
 801                                              math-expr-data
 802                                              (cdr (memq op math-expr-opers))))
 803                                   (eq (= (nth 3 op) -1)
 804                                       (/= (nth 3 op2) -1))
 805                                   (eq (= (nth 3 op2) -1)
 806                                       (not (math-factor-after)))
 807                                   (setq op op2))
 808                              t))
 809                     (and (or (eq (nth 2 op) -1)
 810                              (memq math-exp-token '(symbol number dollar hash))
 811                              (equal math-expr-data "(")
 812                              (and (equal math-expr-data "[")
 813                                   (not (equal
 814                                         (get calc-language
 815                                              'math-function-open) "["))
 816                                   (not (and math-exp-keep-spaces
 817                                             (eq (car-safe x) 'vec)))))
 818                          (or (not (setq op (assoc math-expr-data math-expr-opers)))
 819                              (/= (nth 2 op) -1))
 820                          (or (not calc-user-parse-table)
 821                              (not (eq math-exp-token 'symbol))
 822                              (let ((p calc-user-parse-table))
 823                                (while (and p
 824                                            (or (not (integerp
 825                                                      (car (car (car p)))))
 826                                                (not (equal
 827                                                      (nth 1 (car (car p)))
 828                                                      math-expr-data))))
 829                                  (setq p (cdr p)))
 830                                (not p)))
 831                          (setq op (assoc "2x" math-expr-opers))))
 832                 (not (and exp-term (equal math-expr-data exp-term)))
 833                 (>= (nth 2 op) exp-prec))
 834       (if (not (equal (car op) "2x"))
 835           (math-read-token))
 836       (and (memq (nth 1 op) '(sdev mod))
 837            (require 'calc-ext))
 838       (setq x (cond ((consp (nth 1 op))
 839                      (funcall (car (nth 1 op)) x op))
 840                     ((eq (nth 3 op) -1)
 841                      (if (eq (nth 1 op) 'ident)
 842                          x
 843                        (if (eq (nth 1 op) 'closing)
 844                            (if (eq (nth 2 op) exp-prec)
 845                                (progn
 846                                  (setq exp-prec 1000)
 847                                  x)
 848                              (throw 'syntax "Mismatched delimiters"))
 849                          (list (nth 1 op) x))))
 850                     ((and (not first)
 851                           (memq (nth 1 op) math-alg-inequalities)
 852                           (memq (car-safe x) math-alg-inequalities))
 853                      (require 'calc-ext)
 854                      (math-composite-inequalities x op))
 855                     (t (list (nth 1 op)
 856                              x
 857                              (math-read-expr-level (nth 3 op) exp-term))))
 858             first nil))
 859     x))
 860
 861 ;; calc-arg-values is defined in calc-ext.el, but is used here.
 862 (defvar calc-arg-values)
 863
 864 ;;;###autoload
 865 (defun calc-check-user-syntax (&optional x prec)
 866   (let ((p calc-user-parse-table)
 867         (matches nil)
 868         match rule)
 869     (while (and p
 870                 (or (not (progn
 871                            (setq rule (car (car p)))
 872                            (if x
 873                                (and (integerp (car rule))
 874                                     (>= (car rule) prec)
 875                                     (equal math-expr-data
 876                                            (car (setq rule (cdr rule)))))
 877                              (equal math-expr-data (car rule)))))
 878                     (let ((save-exp-pos math-exp-pos)
 879                           (save-exp-old-pos math-exp-old-pos)
 880                           (save-exp-token math-exp-token)
 881                           (save-exp-data math-expr-data))
 882                       (or (not (listp
 883                                 (setq matches (calc-match-user-syntax rule))))
 884                           (let ((args (progn
 885                                         (require 'calc-ext)
 886                                         calc-arg-values))
 887                                 (conds nil)
 888                                 temp)
 889                             (if x
 890                                 (setq matches (cons x matches)))
 891                             (setq match (cdr (car p)))
 892                             (while (and (eq (car-safe match)
 893                                             'calcFunc-condition)
 894                                         (= (length match) 3))
 895                               (setq conds (append (math-flatten-lands
 896                                                    (nth 2 match))
 897                                                   conds)
 898                                     match (nth 1 match)))
 899                             (while (and conds match)
 900                               (require 'calc-ext)
 901                               (cond ((eq (car-safe (car conds))
 902                                          'calcFunc-let)
 903                                      (setq temp (car conds))
 904                                      (or (= (length temp) 3)
 905                                          (and (= (length temp) 2)
 906                                               (eq (car-safe (nth 1 temp))
 907                                                   'calcFunc-assign)
 908                                               (= (length (nth 1 temp)) 3)
 909                                               (setq temp (nth 1 temp)))
 910                                          (setq match nil))
 911                                      (setq matches (cons
 912                                                     (math-normalize
 913                                                      (math-multi-subst
 914                                                       (nth 2 temp)
 915                                                       args matches))
 916                                                     matches)
 917                                            args (cons (nth 1 temp)
 918                                                       args)))
 919                                     ((and (eq (car-safe (car conds))
 920                                               'calcFunc-matches)
 921                                           (= (length (car conds)) 3))
 922                                      (setq temp (calcFunc-vmatches
 923                                                  (math-multi-subst
 924                                                   (nth 1 (car conds))
 925                                                   args matches)
 926                                                  (nth 2 (car conds))))
 927                                      (if (eq temp 0)
 928                                          (setq match nil)
 929                                        (while (setq temp (cdr temp))
 930                                          (setq matches (cons (nth 2 (car temp))
 931                                                              matches)
 932                                                args (cons (nth 1 (car temp))
 933                                                           args)))))
 934                                     (t
 935                                      (or (math-is-true (math-simplify
 936                                                         (math-multi-subst
 937                                                          (car conds)
 938                                                          args matches)))
 939                                          (setq match nil))))
 940                               (setq conds (cdr conds)))
 941                             (if match
 942                                 (not (setq match (math-multi-subst
 943                                                   match args matches)))
 944                               (setq math-exp-old-pos save-exp-old-pos
 945                                     math-exp-token save-exp-token
 946                                     math-expr-data save-exp-data
 947                                     math-exp-pos save-exp-pos)))))))
 948       (setq p (cdr p)))
 949     (and p match)))
 950
 951 ;;;###autoload
 952 (defun calc-match-user-syntax (p &optional term)
 953   (let ((matches nil)
 954         (save-exp-pos math-exp-pos)
 955         (save-exp-old-pos math-exp-old-pos)
 956         (save-exp-token math-exp-token)
 957         (save-exp-data math-expr-data)
 958         m)
 959     (while (and p
 960                 (cond ((stringp (car p))
 961                        (and (equal math-expr-data (car p))
 962                             (progn
 963                               (math-read-token)
 964                               t)))
 965                       ((integerp (car p))
 966                        (and (setq m (catch 'syntax
 967                                       (math-read-expr-level
 968                                        (car p)
 969                                        (if (cdr p)
 970                                            (if (consp (nth 1 p))
 971                                                (car (nth 1 (nth 1 p)))
 972                                              (nth 1 p))
 973                                          term))))
 974                             (not (stringp m))
 975                             (setq matches (nconc matches (list m)))))
 976                       ((eq (car (car p)) '\?)
 977                        (setq m (calc-match-user-syntax (nth 1 (car p))))
 978                        (or (nth 2 (car p))
 979                            (setq matches
 980                                  (nconc matches
 981                                         (list
 982                                          (cons 'vec (and (listp m) m))))))
 983                        (or (listp m) (not (nth 2 (car p)))
 984                            (not (eq (aref (car (nth 2 (car p))) 0) ?\$))
 985                            (eq math-exp-token 'end)))
 986                       (t
 987                        (setq m (calc-match-user-syntax (nth 1 (car p))
 988                                                        (car (nth 2 (car p)))))
 989                        (if (listp m)
 990                            (let ((vec (cons 'vec m))
 991                                  opos mm)
 992                              (while (and (listp
 993                                           (setq opos math-exp-pos
 994                                                 mm (calc-match-user-syntax
 995                                                     (or (nth 2 (car p))
 996                                                         (nth 1 (car p)))
 997                                                     (car (nth 2 (car p))))))
 998                                          (> math-exp-pos opos))
 999                                (setq vec (nconc vec mm)))
1000                              (setq matches (nconc matches (list vec))))
1001                          (and (eq (car (car p)) '*)
1002                               (setq matches (nconc matches (list '(vec)))))))))
1003       (setq p (cdr p)))
1004     (if p
1005         (setq math-exp-pos save-exp-pos
1006               math-exp-old-pos save-exp-old-pos
1007               math-exp-token save-exp-token
1008               math-expr-data save-exp-data
1009               matches "Failed"))
1010     matches))
1011
1012 ;;;###autoload
1013 (defun math-remove-dashes (x)
1014   (if (string-match "\\`\\(.*\\)-\\(.*\\)\\'" x)
1015       (math-remove-dashes
1016        (concat (math-match-substring x 1) "#" (math-match-substring x 2)))
1017     x))
1018
1019 (defun math-remove-percentsigns (x)
1020   (if (string-match "\\`\\(.*\\)%\\(.*\\)\\'" x)
1021       (math-remove-percentsigns
1022        (concat (math-match-substring x 1) "o'o" (math-match-substring x 2)))
1023     x))
1024
1025 (defun math-restore-dashes (x)
1026   (if (string-match "\\`\\(.*\\)[#_]\\(.*\\)\\'" x)
1027       (math-restore-dashes
1028        (concat (math-match-substring x 1) "-" (math-match-substring x 2)))
1029     x))
1030
1031 (defun math-restore-placeholders (x)
1032   "Replace placeholders by the proper characters in the symbol x.
1033 This includes `#' for `_' and `'' for `%'.
1034 If the current Calc language does not use placeholders, return nil."
1035   (if (or (memq calc-language calc-lang-allow-underscores)
1036           (memq calc-language calc-lang-allow-percentsigns))
1037       (let ((sx (symbol-name x)))
1038         (when (memq calc-language calc-lang-allow-percentsigns)
1039           (require 'calccomp)
1040           (setq sx (math-to-percentsigns sx)))
1041         (if (memq calc-language calc-lang-allow-underscores)
1042             (setq sx (math-string-restore-underscores sx)))
1043         (intern-soft sx))))
1044
1045 (defun math-string-restore-underscores (x)
1046   "Replace pound signs by underscores in the string x."
1047   (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x)
1048       (math-string-restore-underscores
1049        (concat (math-match-substring x 1) "_" (math-match-substring x 2)))
1050     x))
1051
1052 ;;;###autoload
1053 (defun math-read-if (cond op)
1054   (let ((then (math-read-expr-level 0)))
1055     (or (equal math-expr-data ":")
1056         (throw 'syntax "Expected `:'"))
1057     (math-read-token)
1058     (list 'calcFunc-if cond then (math-read-expr-level (nth 3 op)))))
1059
1060 (defun math-factor-after ()
1061   (let ((math-exp-pos math-exp-pos)
1062         math-exp-old-pos math-exp-token math-expr-data)
1063     (math-read-token)
1064     (or (memq math-exp-token '(number symbol dollar hash string))
1065         (and (assoc math-expr-data '(("-") ("+") ("!") ("|") ("/")))
1066              (assoc (concat "u" math-expr-data) math-expr-opers))
1067         (eq (nth 2 (assoc math-expr-data math-expr-opers)) -1)
1068         (assoc math-expr-data '(("(") ("[") ("{"))))))
1069
1070 (defun math-read-factor ()
1071   (let ((math-expr-opers (math-expr-ops))
1072         op)
1073     (cond ((eq math-exp-token 'number)
1074            (let ((num (math-read-number math-expr-data)))
1075              (if (not num)
1076                  (progn
1077                    (setq math-exp-old-pos math-exp-pos)
1078                    (throw 'syntax "Bad format")))
1079              (math-read-token)
1080              (if (and math-read-expr-quotes
1081                       (consp num))
1082                  (list 'quote num)
1083                num)))
1084           ((and calc-user-parse-table
1085                 (setq op (calc-check-user-syntax)))
1086            op)
1087           ((or (equal math-expr-data "-")
1088                (equal math-expr-data "+")
1089                (equal math-expr-data "!")
1090                (equal math-expr-data "|")
1091                (equal math-expr-data "/"))
1092            (setq math-expr-data (concat "u" math-expr-data))
1093            (math-read-factor))
1094           ((and (setq op (assoc math-expr-data math-expr-opers))
1095                 (eq (nth 2 op) -1))
1096            (if (consp (nth 1 op))
1097                (funcall (car (nth 1 op)) op)
1098              (math-read-token)
1099              (let ((val (math-read-expr-level (nth 3 op))))
1100                (cond ((eq (nth 1 op) 'ident)
1101                       val)
1102                      ((and (Math-numberp val)
1103                            (equal (car op) "u-"))
1104                       (math-neg val))
1105                      (t (list (nth 1 op) val))))))
1106           ((eq math-exp-token 'symbol)
1107            (let ((sym (intern math-expr-data)))
1108              (math-read-token)
1109              (if (equal math-expr-data calc-function-open)
1110                  (let ((f (assq sym math-expr-function-mapping)))
1111                    (math-read-token)
1112                    (if (consp (cdr f))
1113                        (funcall (car (cdr f)) f sym)
1114                      (let ((args (if (or (equal math-expr-data calc-function-close)
1115                                          (eq math-exp-token 'end))
1116                                      nil
1117                                    (math-read-expr-list))))
1118                        (if (not (or (equal math-expr-data calc-function-close)
1119                                     (eq math-exp-token 'end)))
1120                            (throw 'syntax "Expected `)'"))
1121                        (math-read-token)
1122                        (if (and (memq calc-language
1123                                       calc-lang-parens-are-subscripts)
1124                                 args
1125                                 (require 'calc-ext)
1126                                 (let ((calc-matrix-mode 'scalar))
1127                                   (math-known-matrixp
1128                                    (list 'var sym
1129                                          (intern
1130                                           (concat "var-"
1131                                                   (symbol-name sym)))))))
1132                            (math-parse-fortran-subscr sym args)
1133                          (if f
1134                              (setq sym (cdr f))
1135                            (and (= (aref (symbol-name sym) 0) ?\\)
1136                                 (< (prefix-numeric-value calc-language-option)
1137                                    0)
1138                                 (setq sym (intern (substring (symbol-name sym)
1139                                                              1))))
1140                            (or (string-match "-" (symbol-name sym))
1141                                (setq sym (intern
1142                                           (concat "calcFunc-"
1143                                                   (symbol-name sym))))))
1144                          (cons sym args)))))
1145                (if math-read-expr-quotes
1146                    sym
1147                  (let ((val (list 'var
1148                                   (intern (math-remove-dashes
1149                                            (symbol-name sym)))
1150                                   (if (string-match "-" (symbol-name sym))
1151                                       sym
1152                                     (intern (concat "var-"
1153                                                     (symbol-name sym)))))))
1154                    (let ((v (or
1155                              (assq (nth 1 val) math-expr-variable-mapping)
1156                              (assq (math-restore-placeholders (nth 1 val))
1157                                    math-expr-variable-mapping))))
1158                      (and v (setq val (if (consp (cdr v))
1159                                           (funcall (car (cdr v)) v val)
1160                                         (list 'var
1161                                               (intern
1162                                                (substring (symbol-name (cdr v))
1163                                                           4))
1164                                               (cdr v))))))
1165                    (while (and (memq calc-language
1166                                      calc-lang-brackets-are-subscripts)
1167                                (equal math-expr-data "["))
1168                      (math-read-token)
1169                      (let ((el (math-read-expr-list)))
1170                        (while el
1171                          (setq val (append (list 'calcFunc-subscr val)
1172                                            (list (car el))))
1173                          (setq el (cdr el))))
1174                      (if (equal math-expr-data "]")
1175                          (math-read-token)
1176                        (throw 'syntax "Expected `]'")))
1177                    val)))))
1178           ((eq math-exp-token 'dollar)
1179            (let ((abs (if (> math-expr-data 0) math-expr-data (- math-expr-data))))
1180              (if (>= (length calc-dollar-values) abs)
1181                  (let ((num math-expr-data))
1182                    (math-read-token)
1183                    (setq calc-dollar-used (max calc-dollar-used num))
1184                    (math-check-complete (nth (1- abs) calc-dollar-values)))
1185                (throw 'syntax (if calc-dollar-values
1186                                   "Too many $'s"
1187                                 "$'s not allowed in this context")))))
1188           ((eq math-exp-token 'hash)
1189            (or calc-hashes-used
1190                (throw 'syntax "#'s not allowed in this context"))
1191            (require 'calc-ext)
1192            (if (<= math-expr-data (length calc-arg-values))
1193                (let ((num math-expr-data))
1194                  (math-read-token)
1195                  (setq calc-hashes-used (max calc-hashes-used num))
1196                  (nth (1- num) calc-arg-values))
1197              (throw 'syntax "Too many # arguments")))
1198           ((equal math-expr-data "(")
1199            (let* ((exp (let ((math-exp-keep-spaces nil))
1200                          (math-read-token)
1201                          (if (or (equal math-expr-data "\\dots")
1202                                  (equal math-expr-data "\\ldots"))
1203                              '(neg (var inf var-inf))
1204                            (math-read-expr-level 0)))))
1205              (let ((math-exp-keep-spaces nil))
1206                (cond
1207                 ((equal math-expr-data ",")
1208                  (progn
1209                    (math-read-token)
1210                    (let ((exp2 (math-read-expr-level 0)))
1211                      (setq exp
1212                            (if (and exp2 (Math-realp exp) (Math-realp exp2))
1213                                (math-normalize (list 'cplx exp exp2))
1214                              (list '+ exp (list '* exp2 '(var i var-i))))))))
1215                 ((equal math-expr-data ";")
1216                  (progn
1217                    (math-read-token)
1218                    (let ((exp2 (math-read-expr-level 0)))
1219                      (setq exp (if (and exp2 (Math-realp exp)
1220                                         (Math-anglep exp2))
1221                                    (math-normalize (list 'polar exp exp2))
1222                                  (require 'calc-ext)
1223                                  (list '* exp
1224                                        (list 'calcFunc-exp
1225                                              (list '*
1226                                                    (math-to-radians-2 exp2)
1227                                                    '(var i var-i)))))))))
1228                 ((or (equal math-expr-data "\\dots")
1229                      (equal math-expr-data "\\ldots"))
1230                  (progn
1231                    (math-read-token)
1232                    (let ((exp2 (if (or (equal math-expr-data ")")
1233                                        (equal math-expr-data "]")
1234                                        (eq math-exp-token 'end))
1235                                    '(var inf var-inf)
1236                                  (math-read-expr-level 0))))
1237                      (setq exp
1238                            (list 'intv
1239                                  (if (equal math-expr-data ")") 0 1)
1240                                  exp
1241                                  exp2)))))))
1242              (if (not (or (equal math-expr-data ")")
1243                           (and (equal math-expr-data "]") (eq (car-safe exp) 'intv))
1244                           (eq math-exp-token 'end)))
1245                  (throw 'syntax "Expected `)'"))
1246              (math-read-token)
1247              exp))
1248           ((eq math-exp-token 'string)
1249            (require 'calc-ext)
1250            (math-read-string))
1251           ((equal math-expr-data "[")
1252            (require 'calc-ext)
1253            (math-read-brackets t "]"))
1254           ((equal math-expr-data "{")
1255            (require 'calc-ext)
1256            (math-read-brackets nil "}"))
1257           ((equal math-expr-data "<")
1258            (require 'calc-ext)
1259            (math-read-angle-brackets))
1260           (t (throw 'syntax "Expected a number")))))
1261
1262 (provide 'calc-aent)
1263
1264 ;; Local variables:
1265 ;; generated-autoload-file: "calc-loaddefs.el"
1266 ;; End:
1267
1268 ;;; calc-aent.el ends here