lisp/calc/calc-aent.el

   1 ;;; calc-aent.el --- algebraic entry functions for Calc
   2
   3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004, 2005,
   4 ;;   2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc.
   5
   6 ;; Author: Dave Gillespie <daveg@synaptics.com>
   7 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
   8
   9 ;; This file is part of GNU Emacs.
  10
  11 ;; GNU Emacs is free software: you can redistribute it and/or modify
  12 ;; it under the terms of the GNU General Public License as published by
  13 ;; the Free Software Foundation, either version 3 of the License, or
  14 ;; (at your option) any later version.
  15
  16 ;; GNU Emacs is distributed in the hope that it will be useful,
  17 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  18 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  19 ;; GNU General Public License for more details.
  20
  21 ;; You should have received a copy of the GNU General Public License
  22 ;; along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.
  23
  24 ;;; Commentary:
  25
  26 ;;; Code:
  27
  28 ;; This file is autoloaded from calc.el.
  29
  30 (require 'calc)
  31 (require 'calc-macs)
  32
  33 ;; Declare functions which are defined elsewhere.
  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))
  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 ()
  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 (eq last-command-event 10)
 113           (insert shortbuf)
 114         (kill-new shortbuf)))))
 115
 116 ;;;###autoload
 117 (defun calc-do-calc-eval (str separator args)
 118   (calc-check-defines)
 119   (catch 'calc-error
 120     (save-excursion
 121       (calc-create-buffer)
 122       (cond
 123        ((and (consp str) (not (symbolp (car str))))
 124         (let ((calc-language nil)
 125               (math-expr-opers (math-standard-ops))
 126               (calc-internal-prec 12)
 127               (calc-word-size 32)
 128               (calc-symbolic-mode nil)
 129               (calc-matrix-mode nil)
 130               (calc-angle-mode 'deg)
 131               (calc-number-radix 10)
 132               (calc-twos-complement-mode nil)
 133               (calc-leading-zeros nil)
 134               (calc-group-digits nil)
 135               (calc-point-char ".")
 136               (calc-frac-format '(":" nil))
 137               (calc-prefer-frac nil)
 138               (calc-hms-format "%s@ %s' %s\"")
 139               (calc-date-format '((H ":" mm C SS pp " ")
 140                                   Www " " Mmm " " D ", " YYYY))
 141               (calc-float-format '(float 0))
 142               (calc-full-float-format '(float 0))
 143               (calc-complex-format nil)
 144               (calc-matrix-just nil)
 145               (calc-full-vectors t)
 146               (calc-break-vectors nil)
 147               (calc-vector-commas ",")
 148               (calc-vector-brackets "[]")
 149               (calc-matrix-brackets '(R O))
 150               (calc-complex-mode 'cplx)
 151               (calc-infinite-mode nil)
 152               (calc-display-strings nil)
 153               (calc-simplify-mode nil)
 154               (calc-display-working-message 'lots)
 155               (strp (cdr str)))
 156           (while strp
 157             (set (car strp) (nth 1 strp))
 158             (setq strp (cdr (cdr strp))))
 159           (calc-do-calc-eval (car str) separator args)))
 160        ((eq separator 'eval)
 161         (eval str))
 162        ((eq separator 'macro)
 163         (require 'calc-ext)
 164         (let* ((calc-buffer (current-buffer))
 165                (calc-window (get-buffer-window calc-buffer))
 166                (save-window (selected-window)))
 167           (if calc-window
 168               (unwind-protect
 169                   (progn
 170                     (select-window calc-window)
 171                     (calc-execute-kbd-macro str nil (car args)))
 172                 (and (window-point save-window)
 173                      (select-window save-window)))
 174             (save-window-excursion
 175               (select-window (get-largest-window))
 176               (switch-to-buffer calc-buffer)
 177               (calc-execute-kbd-macro str nil (car args)))))
 178         nil)
 179        ((eq separator 'pop)
 180         (or (not (integerp str))
 181             (= str 0)
 182             (calc-pop (min str (calc-stack-size))))
 183         (calc-stack-size))
 184        ((eq separator 'top)
 185         (and (integerp str)
 186              (> str 0)
 187              (<= str (calc-stack-size))
 188              (math-format-value (calc-top-n str (car args)) 1000)))
 189        ((eq separator 'rawtop)
 190         (and (integerp str)
 191              (> str 0)
 192              (<= str (calc-stack-size))
 193              (calc-top-n str (car args))))
 194        (t
 195         (let* ((calc-command-flags nil)
 196                (calc-next-why nil)
 197                (calc-language (if (memq calc-language '(nil big))
 198                                   'flat calc-language))
 199                (calc-dollar-values (mapcar
 200                                     (function
 201                                      (lambda (x)
 202                                        (if (stringp x)
 203                                            (progn
 204                                              (setq x (math-read-exprs x))
 205                                              (if (eq (car-safe x)
 206                                                      'error)
 207                                                  (throw 'calc-error
 208                                                         (calc-eval-error
 209                                                          (cdr x)))
 210                                                (car x)))
 211                                          x)))
 212                                     args))
 213                (calc-dollar-used 0)
 214                (res (if (stringp str)
 215                         (math-read-exprs str)
 216                       (list str)))
 217                buf)
 218           (if (eq (car res) 'error)
 219               (calc-eval-error (cdr res))
 220             (setq res (mapcar 'calc-normalize res))
 221             (and (memq 'clear-message calc-command-flags)
 222                  (message ""))
 223             (cond ((eq separator 'pred)
 224                    (require 'calc-ext)
 225                    (if (= (length res) 1)
 226                        (math-is-true (car res))
 227                      (calc-eval-error '(0 "Single value expected"))))
 228                   ((eq separator 'raw)
 229                    (if (= (length res) 1)
 230                        (car res)
 231                      (calc-eval-error '(0 "Single value expected"))))
 232                   ((eq separator 'list)
 233                    res)
 234                   ((memq separator '(num rawnum))
 235                    (if (= (length res) 1)
 236                        (if (math-constp (car res))
 237                            (if (eq separator 'num)
 238                                (math-format-value (car res) 1000)
 239                              (car res))
 240                          (calc-eval-error
 241                           (list 0
 242                                 (if calc-next-why
 243                                     (calc-explain-why (car calc-next-why))
 244                                   "Number expected"))))
 245                      (calc-eval-error '(0 "Single value expected"))))
 246                   ((eq separator 'push)
 247                    (calc-push-list res)
 248                    nil)
 249                   (t (while res
 250                        (setq buf (concat buf
 251                                          (and buf (or separator ", "))
 252                                          (math-format-value (car res) 1000))
 253                              res (cdr res)))
 254                      buf)))))))))
 255
 256 (defvar calc-eval-error nil
 257   "Determines how calc handles errors.
 258 If nil, return a list containing the character position of error.
 259 STRING means return error message as string rather than list.
 260 The value t means abort and give an error message.")
 261
 262 (defun calc-eval-error (msg)
 263   (if calc-eval-error
 264       (if (eq calc-eval-error 'string)
 265           (nth 1 msg)
 266         (error "%s" (nth 1 msg)))
 267     msg))
 268
 269
 270 ;;;; Reading an expression in algebraic form.
 271
 272 ;;;###autoload
 273 (defun calc-auto-algebraic-entry (&optional prefix)
 274   (interactive "P")
 275   (calc-algebraic-entry prefix t))
 276
 277 ;;;###autoload
 278 (defun calc-algebraic-entry (&optional prefix auto)
 279   (interactive "P")
 280   (calc-wrapper
 281    (let ((calc-language (if prefix nil calc-language))
 282          (math-expr-opers (if prefix (math-standard-ops) (math-expr-ops))))
 283      (calc-alg-entry (and auto (char-to-string last-command-event))))))
 284
 285 (defvar calc-alg-entry-history nil
 286   "History for algebraic entry.")
 287
 288 ;;;###autoload
 289 (defun calc-alg-entry (&optional initial prompt)
 290   (let* ((sel-mode nil)
 291          (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    (cond ((eq last-command-event ?e)
 455           (if (> calc-number-radix 14) (format "%d.^" calc-number-radix) "1e"))
 456          ((eq last-command-event ?#) (format "%d#" calc-number-radix))
 457          ((eq last-command-event ?_) "-")
 458          ((eq last-command-event ?@) "0@ ")
 459          (t (char-to-string last-command-event)))))
 460
 461 ;; The variable calc-digit-value is initially declared in calc.el,
 462 ;; but can be set by calcDigit-algebraic and calcDigit-edit.
 463 (defvar calc-digit-value)
 464
 465 ;;;###autoload
 466 (defun calcDigit-algebraic ()
 467   (interactive)
 468   (if (calc-minibuffer-contains ".*[@oh] *[^'m ]+[^'m]*\\'")
 469       (calcDigit-key)
 470     (setq calc-digit-value (minibuffer-contents))
 471     (exit-minibuffer)))
 472
 473 ;;;###autoload
 474 (defun calcDigit-edit ()
 475   (interactive)
 476   (calc-unread-command)
 477   (setq calc-digit-value (minibuffer-contents))
 478   (exit-minibuffer))
 479
 480
 481 ;;; Algebraic expression parsing.   [Public]
 482
 483 (defvar math-read-replacement-list
 484   '(;; Misc symbols
 485     ("±" "+/-")  ; plus or minus
 486     ("×" "*")    ; multiplication sign
 487     ("÷" ":")    ; division sign
 488     ("−" "-")    ; subtraction sign
 489     ("∕" "/")    ; division sign
 490     ("∗" "*")    ; asterisk multiplication
 491     ("∞" "inf")  ; infinity symbol
 492     ("≤" "<=")
 493     ("≥" ">=")
 494     ("≦" "<=")
 495     ("≧" ">=")
 496     ("µ" "μ")
 497     ;; fractions
 498     ("¼" "(1:4)") ; 1/4
 499     ("½" "(1:2)") ; 1/2
 500     ("¾" "(3:4)") ; 3/4
 501     ("⅓" "(1:3)") ; 1/3
 502     ("⅔" "(2:3)") ; 2/3
 503     ("⅕" "(1:5)") ; 1/5
 504     ("⅖" "(2:5)") ; 2/5
 505     ("⅗" "(3:5)") ; 3/5
 506     ("⅘" "(4:5)") ; 4/5
 507     ("⅙" "(1:6)") ; 1/6
 508     ("⅚" "(5:6)") ; 5/6
 509     ("⅛" "(1:8)") ; 1/8
 510     ("⅜" "(3:8)") ; 3/8
 511     ("⅝" "(5:8)") ; 5/8
 512     ("⅞" "(7:8)") ; 7/8
 513     ("⅟" "1:")    ; 1/...
 514     ;; superscripts
 515     ("⁰" "0")  ; 0
 516     ("¹" "1")  ; 1
 517     ("²" "2")  ; 2
 518     ("³" "3")  ; 3
 519     ("⁴" "4")  ; 4
 520     ("⁵" "5")  ; 5
 521     ("⁶" "6")  ; 6
 522     ("⁷" "7")  ; 7
 523     ("⁸" "8")  ; 8
 524     ("⁹" "9")  ; 9
 525     ("⁺" "+")  ; +
 526     ("⁻" "-")  ; -
 527     ("⁽" "(")  ; (
 528     ("⁾" ")")  ; )
 529     ("ⁿ" "n")  ; n
 530     ("ⁱ" "i")  ; i
 531     ;; subscripts
 532     ("₀"  "0")  ; 0
 533     ("₁"  "1")  ; 1
 534     ("₂"  "2")  ; 2
 535     ("₃"  "3")  ; 3
 536     ("₄"  "4")  ; 4
 537     ("₅"  "5")  ; 5
 538     ("₆"  "6")  ; 6
 539     ("₇"  "7")  ; 7
 540     ("₈"  "8")  ; 8
 541     ("₉"  "9")  ; 9
 542     ("₊"  "+")  ; +
 543     ("₋"  "-")  ; -
 544     ("₍"  "(")  ; (
 545     ("₎"  ")"))  ; )
 546   "A list whose elements (old new) indicate replacements to make
 547 in Calc algebraic input.")
 548
 549 (defvar math-read-superscripts
 550   "⁰¹²³⁴⁵⁶⁷⁸⁹⁺⁻⁽⁾ⁿⁱ" ; 0123456789+-()ni
 551   "A string consisting of the superscripts allowed by Calc.")
 552
 553 (defvar math-read-subscripts
 554   "₀₁₂₃₄₅₆₇₈₉₊₋₍₎" ; 0123456789+-()
 555   "A string consisting of the subscripts allowed by Calc.")
 556
 557 ;;;###autoload
 558 (defun math-read-preprocess-string (str)
 559   "Replace some substrings of STR by Calc equivalents."
 560   (setq str
 561         (replace-regexp-in-string (concat "[" math-read-superscripts "]+")
 562                                   "^(\\&)" str))
 563   (setq str
 564         (replace-regexp-in-string (concat "[" math-read-subscripts "]+")
 565                                   "_(\\&)" str))
 566   (let ((rep-list math-read-replacement-list))
 567     (while rep-list
 568       (setq str
 569             (replace-regexp-in-string (nth 0 (car rep-list))
 570                                       (nth 1 (car rep-list)) str))
 571       (setq rep-list (cdr rep-list))))
 572   str)
 573
 574 ;; The next few variables are local to math-read-exprs (and math-read-expr
 575 ;; in calc-ext.el), but are set in functions they call.
 576
 577 (defvar math-exp-pos)
 578 (defvar math-exp-str)
 579 (defvar math-exp-old-pos)
 580 (defvar math-exp-token)
 581 (defvar math-exp-keep-spaces)
 582 (defvar math-expr-data)
 583
 584 ;;;###autoload
 585 (defun math-read-exprs (math-exp-str)
 586   (let ((math-exp-pos 0)
 587         (math-exp-old-pos 0)
 588         (math-exp-keep-spaces nil)
 589         math-exp-token math-expr-data)
 590     (setq math-exp-str (math-read-preprocess-string math-exp-str))
 591     (if (memq calc-language calc-lang-allow-percentsigns)
 592         (setq math-exp-str (math-remove-percentsigns math-exp-str)))
 593     (if calc-language-input-filter
 594         (setq math-exp-str (funcall calc-language-input-filter math-exp-str)))
 595     (while (setq math-exp-token
 596                  (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
 597       (setq math-exp-str
 598             (concat (substring math-exp-str 0 math-exp-token) "\\dots"
 599                             (substring math-exp-str (+ math-exp-token 2)))))
 600     (math-build-parse-table)
 601     (math-read-token)
 602     (let ((val (catch 'syntax (math-read-expr-list))))
 603       (if (stringp val)
 604           (list 'error math-exp-old-pos val)
 605         (if (equal math-exp-token 'end)
 606             val
 607           (list 'error math-exp-old-pos "Syntax error"))))))
 608
 609 ;;;###autoload
 610 (defun math-read-expr-list ()
 611   (let* ((math-exp-keep-spaces nil)
 612          (val (list (math-read-expr-level 0)))
 613          (last val))
 614     (while (equal math-expr-data ",")
 615       (math-read-token)
 616       (let ((rest (list (math-read-expr-level 0))))
 617         (setcdr last rest)
 618         (setq last rest)))
 619     val))
 620
 621 (defvar calc-user-parse-table nil)
 622 (defvar calc-last-main-parse-table nil)
 623 (defvar calc-last-user-lang-parse-table nil)
 624 (defvar calc-last-lang-parse-table nil)
 625 (defvar calc-user-tokens nil)
 626 (defvar calc-user-token-chars nil)
 627
 628 (defvar math-toks nil
 629   "Tokens to pass between math-build-parse-table and math-find-user-tokens.")
 630
 631 ;;;###autoload
 632 (defun math-build-parse-table ()
 633   (let ((mtab (cdr (assq nil calc-user-parse-tables)))
 634         (ltab (cdr (assq calc-language calc-user-parse-tables)))
 635         (lltab (get calc-language 'math-parse-table)))
 636     (or (and (eq mtab calc-last-main-parse-table)
 637              (eq ltab calc-last-user-lang-parse-table)
 638              (eq lltab calc-last-lang-parse-table))
 639         (let ((p (append mtab ltab lltab))
 640               (math-toks nil))
 641           (setq calc-user-parse-table p)
 642           (setq calc-user-token-chars nil)
 643           (while p
 644             (math-find-user-tokens (car (car p)))
 645             (setq p (cdr p)))
 646           (setq calc-user-tokens (mapconcat 'identity
 647                                             (sort (mapcar 'car math-toks)
 648                                                   (function (lambda (x y)
 649                                                               (> (length x)
 650                                                                  (length y)))))
 651                                             "\\|")
 652                 calc-last-main-parse-table mtab
 653                 calc-last-user-lang-parse-table ltab
 654                 calc-last-lang-parse-table lltab)))))
 655
 656 ;;;###autoload
 657 (defun math-find-user-tokens (p)
 658   (while p
 659     (cond ((and (stringp (car p))
 660                 (or (> (length (car p)) 1) (equal (car p) "$")
 661                     (equal (car p) "\""))
 662                 (string-match "[^a-zA-Zα-ωΑ-Ω0-9]" (car p)))
 663            (let ((s (regexp-quote (car p))))
 664              (if (string-match "\\`[a-zA-Zα-ωΑ-Ω0-9]" s)
 665                  (setq s (concat "\\<" s)))
 666              (if (string-match "[a-zA-Zα-ωΑ-Ω0-9]\\'" s)
 667                  (setq s (concat s "\\>")))
 668              (or (assoc s math-toks)
 669                  (progn
 670                    (setq math-toks (cons (list s) math-toks))
 671                    (or (memq (aref (car p) 0) calc-user-token-chars)
 672                        (setq calc-user-token-chars
 673                              (cons (aref (car p) 0)
 674                                    calc-user-token-chars)))))))
 675           ((consp (car p))
 676            (math-find-user-tokens (nth 1 (car p)))
 677            (or (eq (car (car p)) '\?)
 678                (math-find-user-tokens (nth 2 (car p))))))
 679     (setq p (cdr p))))
 680
 681 ;;;###autoload
 682 (defun math-read-token ()
 683   (if (>= math-exp-pos (length math-exp-str))
 684       (setq math-exp-old-pos math-exp-pos
 685             math-exp-token 'end
 686             math-expr-data "\000")
 687     (let (adfn
 688           (ch (aref math-exp-str math-exp-pos)))
 689       (setq math-exp-old-pos math-exp-pos)
 690       (cond ((memq ch '(32 10 9))
 691              (setq math-exp-pos (1+ math-exp-pos))
 692              (if math-exp-keep-spaces
 693                  (setq math-exp-token 'space
 694                        math-expr-data " ")
 695                (math-read-token)))
 696             ((and (memq ch calc-user-token-chars)
 697                   (let ((case-fold-search nil))
 698                     (eq (string-match
 699                          calc-user-tokens math-exp-str math-exp-pos)
 700                         math-exp-pos)))
 701              (setq math-exp-token 'punc
 702                    math-expr-data (math-match-substring math-exp-str 0)
 703                    math-exp-pos (match-end 0)))
 704             ((or (and (>= ch ?a) (<= ch ?z))
 705                  (and (>= ch ?A) (<= ch ?Z))
 706                  (and (>= ch ?α) (<= ch ?ω))
 707                  (and (>= ch ?Α) (<= ch ?Ω)))
 708              (string-match
 709               (cond
 710                ((and (memq calc-language calc-lang-allow-underscores)
 711                      (memq calc-language calc-lang-allow-percentsigns))
 712                 "[a-zA-Zα-ωΑ-Ω0-9_'#]*")
 713                ((memq calc-language calc-lang-allow-underscores)
 714                                "[a-zA-Zα-ωΑ-Ω0-9_#]*")
 715                (t "[a-zA-Zα-ωΑ-Ω0-9'#]*"))
 716               math-exp-str math-exp-pos)
 717              (setq math-exp-token 'symbol
 718                    math-exp-pos (match-end 0)
 719                    math-expr-data (math-restore-dashes
 720                              (math-match-substring math-exp-str 0)))
 721              (if (setq adfn (get calc-language 'math-lang-adjust-words))
 722                  (funcall adfn)))
 723             ((or (and (>= ch ?0) (<= ch ?9))
 724                  (and (eq ch '?\.)
 725                       (eq (string-match "\\.[0-9]" math-exp-str math-exp-pos)
 726                           math-exp-pos))
 727                  (and (eq ch '?_)
 728                       (eq (string-match "_\\.?[0-9]" math-exp-str math-exp-pos)
 729                           math-exp-pos)
 730                       (or (eq math-exp-pos 0)
 731                           (and (not (memq calc-language
 732                                           calc-lang-allow-underscores))
 733                                (eq (string-match "[^])}\"a-zA-Zα-ωΑ-Ω0-9'$]_"
 734                                                  math-exp-str (1- math-exp-pos))
 735                                    (1- math-exp-pos))))))
 736              (or (and (memq calc-language calc-lang-c-type-hex)
 737                       (string-match "0[xX][0-9a-fA-F]+" math-exp-str math-exp-pos))
 738                  (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]+\\)?\"?\\)?"
 739                                math-exp-str math-exp-pos))
 740              (setq math-exp-token 'number
 741                    math-expr-data (math-match-substring math-exp-str 0)
 742                    math-exp-pos (match-end 0)))
 743             ((and (setq adfn
 744                         (assq ch (get calc-language 'math-lang-read-symbol)))
 745                   (eval (nth 1 adfn)))
 746              (eval (nth 2 adfn)))
 747             ((eq ch ?\$)
 748              (if (eq (string-match "\\$\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
 749                      math-exp-pos)
 750                  (setq math-expr-data (- (string-to-number (math-match-substring
 751                                                             math-exp-str 1))))
 752                (string-match "\\$+" math-exp-str math-exp-pos)
 753                (setq math-expr-data (- (match-end 0) (match-beginning 0))))
 754              (setq math-exp-token 'dollar
 755                    math-exp-pos (match-end 0)))
 756             ((eq ch ?\#)
 757              (if (eq (string-match "#\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
 758                      math-exp-pos)
 759                  (setq math-expr-data (string-to-number
 760                                  (math-match-substring math-exp-str 1))
 761                        math-exp-pos (match-end 0))
 762                (setq math-expr-data 1
 763                      math-exp-pos (1+ math-exp-pos)))
 764              (setq math-exp-token 'hash))
 765             ((eq (string-match "~=\\|<=\\|>=\\|<>\\|/=\\|\\+/-\\|\\\\dots\\|\\\\ldots\\|\\*\\*\\|<<\\|>>\\|==\\|!=\\|&&&\\||||\\|!!!\\|&&\\|||\\|!!\\|:=\\|::\\|=>"
 766                                math-exp-str math-exp-pos)
 767                  math-exp-pos)
 768              (setq math-exp-token 'punc
 769                    math-expr-data (math-match-substring math-exp-str 0)
 770                    math-exp-pos (match-end 0)))
 771             ((and (eq ch ?\")
 772                   (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)"
 773                                 math-exp-str math-exp-pos))
 774              (setq math-exp-token 'string
 775                    math-expr-data (math-match-substring math-exp-str 1)
 776                    math-exp-pos (match-end 0)))
 777             ((and (setq adfn (get calc-language 'math-lang-read))
 778                   (eval (nth 0 adfn))
 779                   (eval (nth 1 adfn))))
 780             ((eq (string-match "%%.*$" math-exp-str math-exp-pos) math-exp-pos)
 781              (setq math-exp-pos (match-end 0))
 782              (math-read-token))
 783             (t
 784              (if (setq adfn (assq ch (get calc-language 'math-punc-table)))
 785                  (setq ch (cdr adfn)))
 786              (setq math-exp-token 'punc
 787                    math-expr-data (char-to-string ch)
 788                    math-exp-pos (1+ math-exp-pos)))))))
 789
 790 (defconst math-alg-inequalities
 791   '(calcFunc-lt calcFunc-gt calcFunc-leq calcFunc-geq
 792                 calcFunc-eq calcFunc-neq))
 793
 794 (defun math-read-expr-level (exp-prec &optional exp-term)
 795   (let* ((math-expr-opers (math-expr-ops))
 796          (x (math-read-factor))
 797          (first t)
 798          op op2)
 799     (while (and (or (and calc-user-parse-table
 800                          (setq op (calc-check-user-syntax x exp-prec))
 801                          (setq x op
 802                                op '("2x" ident 999999 -1)))
 803                     (and (setq op (assoc math-expr-data math-expr-opers))
 804                          (/= (nth 2 op) -1)
 805                          (or (and (setq op2 (assoc
 806                                              math-expr-data
 807                                              (cdr (memq op math-expr-opers))))
 808                                   (eq (= (nth 3 op) -1)
 809                                       (/= (nth 3 op2) -1))
 810                                   (eq (= (nth 3 op2) -1)
 811                                       (not (math-factor-after)))
 812                                   (setq op op2))
 813                              t))
 814                     (and (or (eq (nth 2 op) -1)
 815                              (memq math-exp-token '(symbol number dollar hash))
 816                              (equal math-expr-data "(")
 817                              (and (equal math-expr-data "[")
 818                                   (not (equal
 819                                         (get calc-language
 820                                              'math-function-open) "["))
 821                                   (not (and math-exp-keep-spaces
 822                                             (eq (car-safe x) 'vec)))))
 823                          (or (not (setq op (assoc math-expr-data math-expr-opers)))
 824                              (/= (nth 2 op) -1))
 825                          (or (not calc-user-parse-table)
 826                              (not (eq math-exp-token 'symbol))
 827                              (let ((p calc-user-parse-table))
 828                                (while (and p
 829                                            (or (not (integerp
 830                                                      (car (car (car p)))))
 831                                                (not (equal
 832                                                      (nth 1 (car (car p)))
 833                                                      math-expr-data))))
 834                                  (setq p (cdr p)))
 835                                (not p)))
 836                          (setq op (assoc "2x" math-expr-opers))))
 837                 (not (and exp-term (equal math-expr-data exp-term)))
 838                 (>= (nth 2 op) exp-prec))
 839       (if (not (equal (car op) "2x"))
 840           (math-read-token))
 841       (and (memq (nth 1 op) '(sdev mod))
 842            (require 'calc-ext))
 843       (setq x (cond ((consp (nth 1 op))
 844                      (funcall (car (nth 1 op)) x op))
 845                     ((eq (nth 3 op) -1)
 846                      (if (eq (nth 1 op) 'ident)
 847                          x
 848                        (if (eq (nth 1 op) 'closing)
 849                            (if (eq (nth 2 op) exp-prec)
 850                                (progn
 851                                  (setq exp-prec 1000)
 852                                  x)
 853                              (throw 'syntax "Mismatched delimiters"))
 854                          (list (nth 1 op) x))))
 855                     ((and (not first)
 856                           (memq (nth 1 op) math-alg-inequalities)
 857                           (memq (car-safe x) math-alg-inequalities))
 858                      (require 'calc-ext)
 859                      (math-composite-inequalities x op))
 860                     (t (list (nth 1 op)
 861                              x
 862                              (math-read-expr-level (nth 3 op) exp-term))))
 863             first nil))
 864     x))
 865
 866 ;; calc-arg-values is defined in calc-ext.el, but is used here.
 867 (defvar calc-arg-values)
 868
 869 ;;;###autoload
 870 (defun calc-check-user-syntax (&optional x prec)
 871   (let ((p calc-user-parse-table)
 872         (matches nil)
 873         match rule)
 874     (while (and p
 875                 (or (not (progn
 876                            (setq rule (car (car p)))
 877                            (if x
 878                                (and (integerp (car rule))
 879                                     (>= (car rule) prec)
 880                                     (equal math-expr-data
 881                                            (car (setq rule (cdr rule)))))
 882                              (equal math-expr-data (car rule)))))
 883                     (let ((save-exp-pos math-exp-pos)
 884                           (save-exp-old-pos math-exp-old-pos)
 885                           (save-exp-token math-exp-token)
 886                           (save-exp-data math-expr-data))
 887                       (or (not (listp
 888                                 (setq matches (calc-match-user-syntax rule))))
 889                           (let ((args (progn
 890                                         (require 'calc-ext)
 891                                         calc-arg-values))
 892                                 (conds nil)
 893                                 temp)
 894                             (if x
 895                                 (setq matches (cons x matches)))
 896                             (setq match (cdr (car p)))
 897                             (while (and (eq (car-safe match)
 898                                             'calcFunc-condition)
 899                                         (= (length match) 3))
 900                               (setq conds (append (math-flatten-lands
 901                                                    (nth 2 match))
 902                                                   conds)
 903                                     match (nth 1 match)))
 904                             (while (and conds match)
 905                               (require 'calc-ext)
 906                               (cond ((eq (car-safe (car conds))
 907                                          'calcFunc-let)
 908                                      (setq temp (car conds))
 909                                      (or (= (length temp) 3)
 910                                          (and (= (length temp) 2)
 911                                               (eq (car-safe (nth 1 temp))
 912                                                   'calcFunc-assign)
 913                                               (= (length (nth 1 temp)) 3)
 914                                               (setq temp (nth 1 temp)))
 915                                          (setq match nil))
 916                                      (setq matches (cons
 917                                                     (math-normalize
 918                                                      (math-multi-subst
 919                                                       (nth 2 temp)
 920                                                       args matches))
 921                                                     matches)
 922                                            args (cons (nth 1 temp)
 923                                                       args)))
 924                                     ((and (eq (car-safe (car conds))
 925                                               'calcFunc-matches)
 926                                           (= (length (car conds)) 3))
 927                                      (setq temp (calcFunc-vmatches
 928                                                  (math-multi-subst
 929                                                   (nth 1 (car conds))
 930                                                   args matches)
 931                                                  (nth 2 (car conds))))
 932                                      (if (eq temp 0)
 933                                          (setq match nil)
 934                                        (while (setq temp (cdr temp))
 935                                          (setq matches (cons (nth 2 (car temp))
 936                                                              matches)
 937                                                args (cons (nth 1 (car temp))
 938                                                           args)))))
 939                                     (t
 940                                      (or (math-is-true (math-simplify
 941                                                         (math-multi-subst
 942                                                          (car conds)
 943                                                          args matches)))
 944                                          (setq match nil))))
 945                               (setq conds (cdr conds)))
 946                             (if match
 947                                 (not (setq match (math-multi-subst
 948                                                   match args matches)))
 949                               (setq math-exp-old-pos save-exp-old-pos
 950                                     math-exp-token save-exp-token
 951                                     math-expr-data save-exp-data
 952                                     math-exp-pos save-exp-pos)))))))
 953       (setq p (cdr p)))
 954     (and p match)))
 955
 956 ;;;###autoload
 957 (defun calc-match-user-syntax (p &optional term)
 958   (let ((matches nil)
 959         (save-exp-pos math-exp-pos)
 960         (save-exp-old-pos math-exp-old-pos)
 961         (save-exp-token math-exp-token)
 962         (save-exp-data math-expr-data)
 963         m)
 964     (while (and p
 965                 (cond ((stringp (car p))
 966                        (and (equal math-expr-data (car p))
 967                             (progn
 968                               (math-read-token)
 969                               t)))
 970                       ((integerp (car p))
 971                        (and (setq m (catch 'syntax
 972                                       (math-read-expr-level
 973                                        (car p)
 974                                        (if (cdr p)
 975                                            (if (consp (nth 1 p))
 976                                                (car (nth 1 (nth 1 p)))
 977                                              (nth 1 p))
 978                                          term))))
 979                             (not (stringp m))
 980                             (setq matches (nconc matches (list m)))))
 981                       ((eq (car (car p)) '\?)
 982                        (setq m (calc-match-user-syntax (nth 1 (car p))))
 983                        (or (nth 2 (car p))
 984                            (setq matches
 985                                  (nconc matches
 986                                         (list
 987                                          (cons 'vec (and (listp m) m))))))
 988                        (or (listp m) (not (nth 2 (car p)))
 989                            (not (eq (aref (car (nth 2 (car p))) 0) ?\$))
 990                            (eq math-exp-token 'end)))
 991                       (t
 992                        (setq m (calc-match-user-syntax (nth 1 (car p))
 993                                                        (car (nth 2 (car p)))))
 994                        (if (listp m)
 995                            (let ((vec (cons 'vec m))
 996                                  opos mm)
 997                              (while (and (listp
 998                                           (setq opos math-exp-pos
 999                                                 mm (calc-match-user-syntax
1000                                                     (or (nth 2 (car p))
1001                                                         (nth 1 (car p)))
1002                                                     (car (nth 2 (car p))))))
1003                                          (> math-exp-pos opos))
1004                                (setq vec (nconc vec mm)))
1005                              (setq matches (nconc matches (list vec))))
1006                          (and (eq (car (car p)) '*)
1007                               (setq matches (nconc matches (list '(vec)))))))))
1008       (setq p (cdr p)))
1009     (if p
1010         (setq math-exp-pos save-exp-pos
1011               math-exp-old-pos save-exp-old-pos
1012               math-exp-token save-exp-token
1013               math-expr-data save-exp-data
1014               matches "Failed"))
1015     matches))
1016
1017 ;;;###autoload
1018 (defun math-remove-dashes (x)
1019   (if (string-match "\\`\\(.*\\)-\\(.*\\)\\'" x)
1020       (math-remove-dashes
1021        (concat (math-match-substring x 1) "#" (math-match-substring x 2)))
1022     x))
1023
1024 (defun math-remove-percentsigns (x)
1025   (if (string-match "\\`\\(.*\\)%\\(.*\\)\\'" x)
1026       (math-remove-percentsigns
1027        (concat (math-match-substring x 1) "o'o" (math-match-substring x 2)))
1028     x))
1029
1030 (defun math-restore-dashes (x)
1031   (if (string-match "\\`\\(.*\\)[#_]\\(.*\\)\\'" x)
1032       (math-restore-dashes
1033        (concat (math-match-substring x 1) "-" (math-match-substring x 2)))
1034     x))
1035
1036 (defun math-restore-placeholders (x)
1037   "Replace placeholders by the proper characters in the symbol x.
1038 This includes `#' for `_' and `'' for `%'.
1039 If the current Calc language does not use placeholders, return nil."
1040   (if (or (memq calc-language calc-lang-allow-underscores)
1041           (memq calc-language calc-lang-allow-percentsigns))
1042       (let ((sx (symbol-name x)))
1043         (when (memq calc-language calc-lang-allow-percentsigns)
1044           (require 'calccomp)
1045           (setq sx (math-to-percentsigns sx)))
1046         (if (memq calc-language calc-lang-allow-underscores)
1047             (setq sx (math-string-restore-underscores sx)))
1048         (intern-soft sx))))
1049
1050 (defun math-string-restore-underscores (x)
1051   "Replace pound signs by underscores in the string x."
1052   (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x)
1053       (math-string-restore-underscores
1054        (concat (math-match-substring x 1) "_" (math-match-substring x 2)))
1055     x))
1056
1057 ;;;###autoload
1058 (defun math-read-if (cond op)
1059   (let ((then (math-read-expr-level 0)))
1060     (or (equal math-expr-data ":")
1061         (throw 'syntax "Expected ':'"))
1062     (math-read-token)
1063     (list 'calcFunc-if cond then (math-read-expr-level (nth 3 op)))))
1064
1065 (defun math-factor-after ()
1066   (let ((math-exp-pos math-exp-pos)
1067         math-exp-old-pos math-exp-token math-expr-data)
1068     (math-read-token)
1069     (or (memq math-exp-token '(number symbol dollar hash string))
1070         (and (assoc math-expr-data '(("-") ("+") ("!") ("|") ("/")))
1071              (assoc (concat "u" math-expr-data) math-expr-opers))
1072         (eq (nth 2 (assoc math-expr-data math-expr-opers)) -1)
1073         (assoc math-expr-data '(("(") ("[") ("{"))))))
1074
1075 (defun math-read-factor ()
1076   (let ((math-expr-opers (math-expr-ops))
1077         op)
1078     (cond ((eq math-exp-token 'number)
1079            (let ((num (math-read-number math-expr-data)))
1080              (if (not num)
1081                  (progn
1082                    (setq math-exp-old-pos math-exp-pos)
1083                    (throw 'syntax "Bad format")))
1084              (math-read-token)
1085              (if (and math-read-expr-quotes
1086                       (consp num))
1087                  (list 'quote num)
1088                num)))
1089           ((and calc-user-parse-table
1090                 (setq op (calc-check-user-syntax)))
1091            op)
1092           ((or (equal math-expr-data "-")
1093                (equal math-expr-data "+")
1094                (equal math-expr-data "!")
1095                (equal math-expr-data "|")
1096                (equal math-expr-data "/"))
1097            (setq math-expr-data (concat "u" math-expr-data))
1098            (math-read-factor))
1099           ((and (setq op (assoc math-expr-data math-expr-opers))
1100                 (eq (nth 2 op) -1))
1101            (if (consp (nth 1 op))
1102                (funcall (car (nth 1 op)) op)
1103              (math-read-token)
1104              (let ((val (math-read-expr-level (nth 3 op))))
1105                (cond ((eq (nth 1 op) 'ident)
1106                       val)
1107                      ((and (Math-numberp val)
1108                            (equal (car op) "u-"))
1109                       (math-neg val))
1110                      (t (list (nth 1 op) val))))))
1111           ((eq math-exp-token 'symbol)
1112            (let ((sym (intern math-expr-data)))
1113              (math-read-token)
1114              (if (equal math-expr-data calc-function-open)
1115                  (let ((f (assq sym math-expr-function-mapping)))
1116                    (math-read-token)
1117                    (if (consp (cdr f))
1118                        (funcall (car (cdr f)) f sym)
1119                      (let ((args (if (or (equal math-expr-data calc-function-close)
1120                                          (eq math-exp-token 'end))
1121                                      nil
1122                                    (math-read-expr-list))))
1123                        (if (not (or (equal math-expr-data calc-function-close)
1124                                     (eq math-exp-token 'end)))
1125                            (throw 'syntax "Expected `)'"))
1126                        (math-read-token)
1127                        (if (and (memq calc-language
1128                                       calc-lang-parens-are-subscripts)
1129                                 args
1130                                 (require 'calc-ext)
1131                                 (let ((calc-matrix-mode 'scalar))
1132                                   (math-known-matrixp
1133                                    (list 'var sym
1134                                          (intern
1135                                           (concat "var-"
1136                                                   (symbol-name sym)))))))
1137                            (math-parse-fortran-subscr sym args)
1138                          (if f
1139                              (setq sym (cdr f))
1140                            (and (= (aref (symbol-name sym) 0) ?\\)
1141                                 (< (prefix-numeric-value calc-language-option)
1142                                    0)
1143                                 (setq sym (intern (substring (symbol-name sym)
1144                                                              1))))
1145                            (or (string-match "-" (symbol-name sym))
1146                                (setq sym (intern
1147                                           (concat "calcFunc-"
1148                                                   (symbol-name sym))))))
1149                          (cons sym args)))))
1150                (if math-read-expr-quotes
1151                    sym
1152                  (let ((val (list 'var
1153                                   (intern (math-remove-dashes
1154                                            (symbol-name sym)))
1155                                   (if (string-match "-" (symbol-name sym))
1156                                       sym
1157                                     (intern (concat "var-"
1158                                                     (symbol-name sym)))))))
1159                    (let ((v (or
1160                              (assq (nth 1 val) math-expr-variable-mapping)
1161                              (assq (math-restore-placeholders (nth 1 val))
1162                                    math-expr-variable-mapping))))
1163                      (and v (setq val (if (consp (cdr v))
1164                                           (funcall (car (cdr v)) v val)
1165                                         (list 'var
1166                                               (intern
1167                                                (substring (symbol-name (cdr v))
1168                                                           4))
1169                                               (cdr v))))))
1170                    (while (and (memq calc-language
1171                                      calc-lang-brackets-are-subscripts)
1172                                (equal math-expr-data "["))
1173                      (math-read-token)
1174                      (let ((el (math-read-expr-list)))
1175                        (while el
1176                          (setq val (append (list 'calcFunc-subscr val)
1177                                            (list (car el))))
1178                          (setq el (cdr el))))
1179                      (if (equal math-expr-data "]")
1180                          (math-read-token)
1181                        (throw 'syntax "Expected ']'")))
1182                    val)))))
1183           ((eq math-exp-token 'dollar)
1184            (let ((abs (if (> math-expr-data 0) math-expr-data (- math-expr-data))))
1185              (if (>= (length calc-dollar-values) abs)
1186                  (let ((num math-expr-data))
1187                    (math-read-token)
1188                    (setq calc-dollar-used (max calc-dollar-used num))
1189                    (math-check-complete (nth (1- abs) calc-dollar-values)))
1190                (throw 'syntax (if calc-dollar-values
1191                                   "Too many $'s"
1192                                 "$'s not allowed in this context")))))
1193           ((eq math-exp-token 'hash)
1194            (or calc-hashes-used
1195                (throw 'syntax "#'s not allowed in this context"))
1196            (require 'calc-ext)
1197            (if (<= math-expr-data (length calc-arg-values))
1198                (let ((num math-expr-data))
1199                  (math-read-token)
1200                  (setq calc-hashes-used (max calc-hashes-used num))
1201                  (nth (1- num) calc-arg-values))
1202              (throw 'syntax "Too many # arguments")))
1203           ((equal math-expr-data "(")
1204            (let* ((exp (let ((math-exp-keep-spaces nil))
1205                          (math-read-token)
1206                          (if (or (equal math-expr-data "\\dots")
1207                                  (equal math-expr-data "\\ldots"))
1208                              '(neg (var inf var-inf))
1209                            (math-read-expr-level 0)))))
1210              (let ((math-exp-keep-spaces nil))
1211                (cond
1212                 ((equal math-expr-data ",")
1213                  (progn
1214                    (math-read-token)
1215                    (let ((exp2 (math-read-expr-level 0)))
1216                      (setq exp
1217                            (if (and exp2 (Math-realp exp) (Math-realp exp2))
1218                                (math-normalize (list 'cplx exp exp2))
1219                              (list '+ exp (list '* exp2 '(var i var-i))))))))
1220                 ((equal math-expr-data ";")
1221                  (progn
1222                    (math-read-token)
1223                    (let ((exp2 (math-read-expr-level 0)))
1224                      (setq exp (if (and exp2 (Math-realp exp)
1225                                         (Math-anglep exp2))
1226                                    (math-normalize (list 'polar exp exp2))
1227                                  (require 'calc-ext)
1228                                  (list '* exp
1229                                        (list 'calcFunc-exp
1230                                              (list '*
1231                                                    (math-to-radians-2 exp2)
1232                                                    '(var i var-i)))))))))
1233                 ((or (equal math-expr-data "\\dots")
1234                      (equal math-expr-data "\\ldots"))
1235                  (progn
1236                    (math-read-token)
1237                    (let ((exp2 (if (or (equal math-expr-data ")")
1238                                        (equal math-expr-data "]")
1239                                        (eq math-exp-token 'end))
1240                                    '(var inf var-inf)
1241                                  (math-read-expr-level 0))))
1242                      (setq exp
1243                            (list 'intv
1244                                  (if (equal math-expr-data ")") 0 1)
1245                                  exp
1246                                  exp2)))))))
1247              (if (not (or (equal math-expr-data ")")
1248                           (and (equal math-expr-data "]") (eq (car-safe exp) 'intv))
1249                           (eq math-exp-token 'end)))
1250                  (throw 'syntax "Expected `)'"))
1251              (math-read-token)
1252              exp))
1253           ((eq math-exp-token 'string)
1254            (require 'calc-ext)
1255            (math-read-string))
1256           ((equal math-expr-data "[")
1257            (require 'calc-ext)
1258            (math-read-brackets t "]"))
1259           ((equal math-expr-data "{")
1260            (require 'calc-ext)
1261            (math-read-brackets nil "}"))
1262           ((equal math-expr-data "<")
1263            (require 'calc-ext)
1264            (math-read-angle-brackets))
1265           (t (throw 'syntax "Expected a number")))))
1266
1267 (provide 'calc-aent)
1268
1269 ;; Local variables:
1270 ;; coding: utf-8
1271 ;; generated-autoload-file: "calc-loaddefs.el"
1272 ;; End:
1273
1274 ;; arch-tag: 5599e45d-e51e-44bb-9a20-9f4ed8c96c32
1275 ;;; calc-aent.el ends here