code.delx.au - gnu-emacs/blob - 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,
   4 ;;   2005, 2006, 2007, 2008, 2009 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-leading-zeros nil)
 133               (calc-group-digits nil)
 134               (calc-point-char ".")
 135               (calc-frac-format '(":" nil))
 136               (calc-prefer-frac nil)
 137               (calc-hms-format "%s@ %s' %s\"")
 138               (calc-date-format '((H ":" mm C SS pp " ")
 139                                   Www " " Mmm " " D ", " YYYY))
 140               (calc-float-format '(float 0))
 141               (calc-full-float-format '(float 0))
 142               (calc-complex-format nil)
 143               (calc-matrix-just nil)
 144               (calc-full-vectors t)
 145               (calc-break-vectors nil)
 146               (calc-vector-commas ",")
 147               (calc-vector-brackets "[]")
 148               (calc-matrix-brackets '(R O))
 149               (calc-complex-mode 'cplx)
 150               (calc-infinite-mode nil)
 151               (calc-display-strings nil)
 152               (calc-simplify-mode nil)
 153               (calc-display-working-message 'lots)
 154               (strp (cdr str)))
 155           (while strp
 156             (set (car strp) (nth 1 strp))
 157             (setq strp (cdr (cdr strp))))
 158           (calc-do-calc-eval (car str) separator args)))
 159        ((eq separator 'eval)
 160         (eval str))
 161        ((eq separator 'macro)
 162         (require 'calc-ext)
 163         (let* ((calc-buffer (current-buffer))
 164                (calc-window (get-buffer-window calc-buffer))
 165                (save-window (selected-window)))
 166           (if calc-window
 167               (unwind-protect
 168                   (progn
 169                     (select-window calc-window)
 170                     (calc-execute-kbd-macro str nil (car args)))
 171                 (and (window-point save-window)
 172                      (select-window save-window)))
 173             (save-window-excursion
 174               (select-window (get-largest-window))
 175               (switch-to-buffer calc-buffer)
 176               (calc-execute-kbd-macro str nil (car args)))))
 177         nil)
 178        ((eq separator 'pop)
 179         (or (not (integerp str))
 180             (= str 0)
 181             (calc-pop (min str (calc-stack-size))))
 182         (calc-stack-size))
 183        ((eq separator 'top)
 184         (and (integerp str)
 185              (> str 0)
 186              (<= str (calc-stack-size))
 187              (math-format-value (calc-top-n str (car args)) 1000)))
 188        ((eq separator 'rawtop)
 189         (and (integerp str)
 190              (> str 0)
 191              (<= str (calc-stack-size))
 192              (calc-top-n str (car args))))
 193        (t
 194         (let* ((calc-command-flags nil)
 195                (calc-next-why nil)
 196                (calc-language (if (memq calc-language '(nil big))
 197                                   'flat calc-language))
 198                (calc-dollar-values (mapcar
 199                                     (function
 200                                      (lambda (x)
 201                                        (if (stringp x)
 202                                            (progn
 203                                              (setq x (math-read-exprs x))
 204                                              (if (eq (car-safe x)
 205                                                      'error)
 206                                                  (throw 'calc-error
 207                                                         (calc-eval-error
 208                                                          (cdr x)))
 209                                                (car x)))
 210                                          x)))
 211                                     args))
 212                (calc-dollar-used 0)
 213                (res (if (stringp str)
 214                         (math-read-exprs str)
 215                       (list str)))
 216                buf)
 217           (if (eq (car res) 'error)
 218               (calc-eval-error (cdr res))
 219             (setq res (mapcar 'calc-normalize res))
 220             (and (memq 'clear-message calc-command-flags)
 221                  (message ""))
 222             (cond ((eq separator 'pred)
 223                    (require 'calc-ext)
 224                    (if (= (length res) 1)
 225                        (math-is-true (car res))
 226                      (calc-eval-error '(0 "Single value expected"))))
 227                   ((eq separator 'raw)
 228                    (if (= (length res) 1)
 229                        (car res)
 230                      (calc-eval-error '(0 "Single value expected"))))
 231                   ((eq separator 'list)
 232                    res)
 233                   ((memq separator '(num rawnum))
 234                    (if (= (length res) 1)
 235                        (if (math-constp (car res))
 236                            (if (eq separator 'num)
 237                                (math-format-value (car res) 1000)
 238                              (car res))
 239                          (calc-eval-error
 240                           (list 0
 241                                 (if calc-next-why
 242                                     (calc-explain-why (car calc-next-why))
 243                                   "Number expected"))))
 244                      (calc-eval-error '(0 "Single value expected"))))
 245                   ((eq separator 'push)
 246                    (calc-push-list res)
 247                    nil)
 248                   (t (while res
 249                        (setq buf (concat buf
 250                                          (and buf (or separator ", "))
 251                                          (math-format-value (car res) 1000))
 252                              res (cdr res)))
 253                      buf)))))))))
 254
 255 (defvar calc-eval-error nil
 256   "Determines how calc handles errors.
 257 If nil, return a list containing the character position of error.
 258 STRING means return error message as string rather than list.
 259 The value t means abort and give an error message.")
 260
 261 (defun calc-eval-error (msg)
 262   (if calc-eval-error
 263       (if (eq calc-eval-error 'string)
 264           (nth 1 msg)
 265         (error "%s" (nth 1 msg)))
 266     msg))
 267
 268
 269 ;;;; Reading an expression in algebraic form.
 270
 271 ;;;###autoload
 272 (defun calc-auto-algebraic-entry (&optional prefix)
 273   (interactive "P")
 274   (calc-algebraic-entry prefix t))
 275
 276 ;;;###autoload
 277 (defun calc-algebraic-entry (&optional prefix auto)
 278   (interactive "P")
 279   (calc-wrapper
 280    (let ((calc-language (if prefix nil calc-language))
 281          (math-expr-opers (if prefix (math-standard-ops) (math-expr-ops))))
 282      (calc-alg-entry (and auto (char-to-string last-command-event))))))
 283
 284 (defvar calc-alg-entry-history nil
 285   "History for algebraic entry.")
 286
 287 ;;;###autoload
 288 (defun calc-alg-entry (&optional initial prompt)
 289   (let* ((sel-mode nil)
 290          (calc-dollar-values (mapcar 'calc-get-stack-element
 291                                      (nthcdr calc-stack-top calc-stack)))
 292          (calc-dollar-used 0)
 293          (calc-plain-entry t)
 294          (alg-exp (calc-do-alg-entry initial prompt t 'calc-alg-entry-history)))
 295     (if (stringp alg-exp)
 296         (progn
 297           (require 'calc-ext)
 298           (calc-alg-edit alg-exp))
 299       (let* ((calc-simplify-mode (if (eq last-command-event ?\C-j)
 300                                      'none
 301                                    calc-simplify-mode))
 302              (nvals (mapcar 'calc-normalize alg-exp)))
 303         (while alg-exp
 304           (calc-record (if (featurep 'calc-ext) (car alg-exp) (car nvals))
 305                        "alg'")
 306           (calc-pop-push-record-list calc-dollar-used
 307                                      (and (not (equal (car alg-exp)
 308                                                       (car nvals)))
 309                                           (featurep 'calc-ext)
 310                                           "")
 311                                      (list (car nvals)))
 312           (setq alg-exp (cdr alg-exp)
 313                 nvals (cdr nvals)
 314                 calc-dollar-used 0)))
 315       (calc-handle-whys))))
 316
 317 (defvar calc-alg-ent-map nil
 318   "The keymap used for algebraic entry.")
 319
 320 (defvar calc-alg-ent-esc-map nil
 321   "The keymap used for escapes in algebraic entry.")
 322
 323 (defvar calc-alg-exp)
 324
 325 ;;;###autoload
 326 (defun calc-do-alg-entry (&optional initial prompt no-normalize history)
 327   (let* ((calc-buffer (current-buffer))
 328          (blink-paren-function 'calcAlg-blink-matching-open)
 329          (calc-alg-exp 'error))
 330     (unless calc-alg-ent-map
 331       (setq calc-alg-ent-map (copy-keymap minibuffer-local-map))
 332       (define-key calc-alg-ent-map "'" 'calcAlg-previous)
 333       (define-key calc-alg-ent-map "`" 'calcAlg-edit)
 334       (define-key calc-alg-ent-map "\C-m" 'calcAlg-enter)
 335       (define-key calc-alg-ent-map "\C-j" 'calcAlg-enter)
 336       (let ((i 33))
 337         (setq calc-alg-ent-esc-map (copy-keymap esc-map))
 338         (while (< i 127)
 339           (aset (nth 1 calc-alg-ent-esc-map) i 'calcAlg-escape)
 340           (setq i (1+ i)))))
 341     (define-key calc-alg-ent-map "\e" nil)
 342     (if (eq calc-algebraic-mode 'total)
 343         (define-key calc-alg-ent-map "\e" calc-alg-ent-esc-map)
 344       (define-key calc-alg-ent-map "\e+" 'calcAlg-plus-minus)
 345       (define-key calc-alg-ent-map "\em" 'calcAlg-mod)
 346       (define-key calc-alg-ent-map "\e=" 'calcAlg-equals)
 347       (define-key calc-alg-ent-map "\e\r" 'calcAlg-equals)
 348       (define-key calc-alg-ent-map "\ep" 'previous-history-element)
 349       (define-key calc-alg-ent-map "\en" 'next-history-element)
 350       (define-key calc-alg-ent-map "\e%" 'self-insert-command))
 351     (setq calc-aborted-prefix nil)
 352     (let ((buf (read-from-minibuffer (or prompt "Algebraic: ")
 353                                      (or initial "")
 354                                      calc-alg-ent-map nil history)))
 355       (when (eq calc-alg-exp 'error)
 356         (when (eq (car-safe (setq calc-alg-exp (math-read-exprs buf))) 'error)
 357           (setq calc-alg-exp nil)))
 358       (setq calc-aborted-prefix "alg'")
 359       (or no-normalize
 360           (and calc-alg-exp (setq calc-alg-exp (mapcar 'calc-normalize calc-alg-exp))))
 361       calc-alg-exp)))
 362
 363 (defun calcAlg-plus-minus ()
 364   (interactive)
 365   (if (calc-minibuffer-contains ".* \\'")
 366       (insert "+/- ")
 367     (insert " +/- ")))
 368
 369 (defun calcAlg-mod ()
 370   (interactive)
 371   (if (not (calc-minibuffer-contains ".* \\'"))
 372       (insert " "))
 373   (if (calc-minibuffer-contains ".* mod +\\'")
 374       (if calc-previous-modulo
 375           (insert (math-format-flat-expr calc-previous-modulo 0))
 376         (beep))
 377     (insert "mod ")))
 378
 379 (defun calcAlg-previous ()
 380   (interactive)
 381   (if (calc-minibuffer-contains "\\'")
 382       (previous-history-element 1)
 383     (insert "'")))
 384
 385 (defun calcAlg-equals ()
 386   (interactive)
 387   (unwind-protect
 388       (calcAlg-enter)
 389     (if (consp calc-alg-exp)
 390         (progn (setq prefix-arg (length calc-alg-exp))
 391                (calc-unread-command ?=)))))
 392
 393 (defun calcAlg-escape ()
 394   (interactive)
 395   (calc-unread-command)
 396   (save-excursion
 397     (calc-select-buffer)
 398     (use-local-map calc-mode-map))
 399   (calcAlg-enter))
 400
 401 (defvar calc-plain-entry nil)
 402 (defun calcAlg-edit ()
 403   (interactive)
 404   (if (or (not calc-plain-entry)
 405           (calc-minibuffer-contains
 406            "\\`\\([^\"]*\"[^\"]*\"\\)*[^\"]*\"[^\"]*\\'"))
 407       (insert "`")
 408     (setq calc-alg-exp (minibuffer-contents))
 409     (exit-minibuffer)))
 410
 411 (defvar calc-buffer)
 412
 413 (defun calcAlg-enter ()
 414   (interactive)
 415   (let* ((str (minibuffer-contents))
 416          (exp (and (> (length str) 0)
 417                    (with-current-buffer calc-buffer
 418                      (math-read-exprs str)))))
 419     (if (eq (car-safe exp) 'error)
 420         (progn
 421           (goto-char (minibuffer-prompt-end))
 422           (forward-char (nth 1 exp))
 423           (beep)
 424           (calc-temp-minibuffer-message
 425            (concat " [" (or (nth 2 exp) "Error") "]"))
 426           (calc-clear-unread-commands))
 427       (setq calc-alg-exp (if (calc-minibuffer-contains "\\` *\\[ *\\'")
 428                         '((incomplete vec))
 429                       exp))
 430       (exit-minibuffer))))
 431
 432 (defun calcAlg-blink-matching-open ()
 433   (let ((rightpt (point))
 434         (leftpt nil)
 435         (rightchar (preceding-char))
 436         leftchar
 437         rightsyntax
 438         leftsyntax)
 439     (save-excursion
 440       (condition-case ()
 441           (setq leftpt (scan-sexps rightpt -1)
 442                 leftchar (char-after leftpt))
 443         (error nil)))
 444     (if (and leftpt
 445              (or (and (= rightchar ?\))
 446                       (= leftchar ?\[))
 447                  (and (= rightchar ?\])
 448                       (= leftchar ?\()))
 449              (save-excursion
 450                (goto-char leftpt)
 451                (looking-at ".+\\(\\.\\.\\|\\\\dots\\|\\\\ldots\\)")))
 452         (let ((leftsaved (aref (syntax-table) leftchar))
 453               (rightsaved (aref (syntax-table) rightchar)))
 454           (unwind-protect
 455               (progn
 456                 (cond ((= leftchar ?\[)
 457                        (aset (syntax-table) leftchar (cons 4 ?\)))
 458                        (aset (syntax-table) rightchar (cons 5 ?\[)))
 459                       (t
 460                        (aset (syntax-table) leftchar (cons 4 ?\]))
 461                        (aset (syntax-table) rightchar (cons 5 ?\())))
 462                 (blink-matching-open))
 463             (aset (syntax-table) leftchar leftsaved)
 464             (aset (syntax-table) rightchar rightsaved)))
 465       (blink-matching-open))))
 466
 467 ;;;###autoload
 468 (defun calc-alg-digit-entry ()
 469   (calc-alg-entry
 470    (cond ((eq last-command-event ?e)
 471           (if (> calc-number-radix 14) (format "%d.^" calc-number-radix) "1e"))
 472          ((eq last-command-event ?#) (format "%d#" calc-number-radix))
 473          ((eq last-command-event ?_) "-")
 474          ((eq last-command-event ?@) "0@ ")
 475          (t (char-to-string last-command-event)))))
 476
 477 ;; The variable calc-digit-value is initially declared in calc.el,
 478 ;; but can be set by calcDigit-algebraic and calcDigit-edit.
 479 (defvar calc-digit-value)
 480
 481 ;;;###autoload
 482 (defun calcDigit-algebraic ()
 483   (interactive)
 484   (if (calc-minibuffer-contains ".*[@oh] *[^'m ]+[^'m]*\\'")
 485       (calcDigit-key)
 486     (setq calc-digit-value (minibuffer-contents))
 487     (exit-minibuffer)))
 488
 489 ;;;###autoload
 490 (defun calcDigit-edit ()
 491   (interactive)
 492   (calc-unread-command)
 493   (setq calc-digit-value (minibuffer-contents))
 494   (exit-minibuffer))
 495
 496
 497 ;;; Algebraic expression parsing.   [Public]
 498
 499 (defvar math-read-replacement-list
 500   '(;; Misc symbols
 501     ("±" "+/-")  ; plus or minus
 502     ("×" "*")    ; multiplication sign
 503     ("÷" ":")    ; division sign
 504     ("−" "-")    ; subtraction sign
 505     ("∕" "/")    ; division sign
 506     ("∗" "*")    ; asterisk multiplication
 507     ("∞" "inf")  ; infinity symbol
 508     ("≤" "<=")
 509     ("≥" ">=")
 510     ("≦" "<=")
 511     ("≧" ">=")
 512     ;; fractions
 513     ("¼" "(1:4)") ; 1/4
 514     ("½" "(1:2)") ; 1/2
 515     ("¾" "(3:4)") ; 3/4
 516     ("⅓" "(1:3)") ; 1/3
 517     ("⅔" "(2:3)") ; 2/3
 518     ("⅕" "(1:5)") ; 1/5
 519     ("⅖" "(2:5)") ; 2/5
 520     ("⅗" "(3:5)") ; 3/5
 521     ("⅘" "(4:5)") ; 4/5
 522     ("⅙" "(1:6)") ; 1/6
 523     ("⅚" "(5:6)") ; 5/6
 524     ("⅛" "(1:8)") ; 1/8
 525     ("⅜" "(3:8)") ; 3/8
 526     ("⅝" "(5:8)") ; 5/8
 527     ("⅞" "(7:8)") ; 7/8
 528     ("⅟" "1:")    ; 1/...
 529     ;; superscripts
 530     ("⁰" "0")  ; 0
 531     ("¹" "1")  ; 1
 532     ("²" "2")  ; 2
 533     ("³" "3")  ; 3
 534     ("⁴" "4")  ; 4
 535     ("⁵" "5")  ; 5
 536     ("⁶" "6")  ; 6
 537     ("⁷" "7")  ; 7
 538     ("⁸" "8")  ; 8
 539     ("⁹" "9")  ; 9
 540     ("⁺" "+")  ; +
 541     ("⁻" "-")  ; -
 542     ("⁽" "(")  ; (
 543     ("⁾" ")")  ; )
 544     ("ⁿ" "n")  ; n
 545     ("ⁱ" "i")  ; i
 546     ;; subscripts
 547     ("₀"  "0")  ; 0
 548     ("₁"  "1")  ; 1
 549     ("₂"  "2")  ; 2
 550     ("₃"  "3")  ; 3
 551     ("₄"  "4")  ; 4
 552     ("₅"  "5")  ; 5
 553     ("₆"  "6")  ; 6
 554     ("₇"  "7")  ; 7
 555     ("₈"  "8")  ; 8
 556     ("₉"  "9")  ; 9
 557     ("₊"  "+")  ; +
 558     ("₋"  "-")  ; -
 559     ("₍"  "(")  ; (
 560     ("₎"  ")"))  ; )
 561   "A list whose elements (old new) indicate replacements to make
 562 in Calc algebraic input.")
 563
 564 (defvar math-read-superscripts
 565   "⁰¹²³⁴⁵⁶⁷⁸⁹⁺⁻⁽⁾ⁿⁱ" ; 0123456789+-()ni
 566   "A string consisting of the superscripts allowed by Calc.")
 567
 568 (defvar math-read-subscripts
 569   "₀₁₂₃₄₅₆₇₈₉₊₋₍₎" ; 0123456789+-()
 570   "A string consisting of the subscripts allowed by Calc.")
 571
 572 ;;;###autoload
 573 (defun math-read-preprocess-string (str)
 574   "Replace some substrings of STR by Calc equivalents."
 575   (setq str
 576         (replace-regexp-in-string (concat "[" math-read-superscripts "]+")
 577                                   "^(\\&)" str))
 578   (setq str
 579         (replace-regexp-in-string (concat "[" math-read-subscripts "]+")
 580                                   "_(\\&)" str))
 581   (let ((rep-list math-read-replacement-list))
 582     (while rep-list
 583       (setq str
 584             (replace-regexp-in-string (nth 0 (car rep-list))
 585                                       (nth 1 (car rep-list)) str))
 586       (setq rep-list (cdr rep-list))))
 587   str)
 588
 589 ;; The next few variables are local to math-read-exprs (and math-read-expr
 590 ;; in calc-ext.el), but are set in functions they call.
 591
 592 (defvar math-exp-pos)
 593 (defvar math-exp-str)
 594 (defvar math-exp-old-pos)
 595 (defvar math-exp-token)
 596 (defvar math-exp-keep-spaces)
 597 (defvar math-expr-data)
 598
 599 ;;;###autoload
 600 (defun math-read-exprs (math-exp-str)
 601   (let ((math-exp-pos 0)
 602         (math-exp-old-pos 0)
 603         (math-exp-keep-spaces nil)
 604         math-exp-token math-expr-data)
 605     (setq math-exp-str (math-read-preprocess-string math-exp-str))
 606     (if (memq calc-language calc-lang-allow-percentsigns)
 607         (setq math-exp-str (math-remove-percentsigns math-exp-str)))
 608     (if calc-language-input-filter
 609         (setq math-exp-str (funcall calc-language-input-filter math-exp-str)))
 610     (while (setq math-exp-token
 611                  (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
 612       (setq math-exp-str
 613             (concat (substring math-exp-str 0 math-exp-token) "\\dots"
 614                             (substring math-exp-str (+ math-exp-token 2)))))
 615     (math-build-parse-table)
 616     (math-read-token)
 617     (let ((val (catch 'syntax (math-read-expr-list))))
 618       (if (stringp val)
 619           (list 'error math-exp-old-pos val)
 620         (if (equal math-exp-token 'end)
 621             val
 622           (list 'error math-exp-old-pos "Syntax error"))))))
 623
 624 ;;;###autoload
 625 (defun math-read-expr-list ()
 626   (let* ((math-exp-keep-spaces nil)
 627          (val (list (math-read-expr-level 0)))
 628          (last val))
 629     (while (equal math-expr-data ",")
 630       (math-read-token)
 631       (let ((rest (list (math-read-expr-level 0))))
 632         (setcdr last rest)
 633         (setq last rest)))
 634     val))
 635
 636 (defvar calc-user-parse-table nil)
 637 (defvar calc-last-main-parse-table nil)
 638 (defvar calc-last-user-lang-parse-table nil)
 639 (defvar calc-last-lang-parse-table nil)
 640 (defvar calc-user-tokens nil)
 641 (defvar calc-user-token-chars nil)
 642
 643 (defvar math-toks nil
 644   "Tokens to pass between math-build-parse-table and math-find-user-tokens.")
 645
 646 ;;;###autoload
 647 (defun math-build-parse-table ()
 648   (let ((mtab (cdr (assq nil calc-user-parse-tables)))
 649         (ltab (cdr (assq calc-language calc-user-parse-tables)))
 650         (lltab (get calc-language 'math-parse-table)))
 651     (or (and (eq mtab calc-last-main-parse-table)
 652              (eq ltab calc-last-user-lang-parse-table)
 653              (eq lltab calc-last-lang-parse-table))
 654         (let ((p (append mtab ltab lltab))
 655               (math-toks nil))
 656           (setq calc-user-parse-table p)
 657           (setq calc-user-token-chars nil)
 658           (while p
 659             (math-find-user-tokens (car (car p)))
 660             (setq p (cdr p)))
 661           (setq calc-user-tokens (mapconcat 'identity
 662                                             (sort (mapcar 'car math-toks)
 663                                                   (function (lambda (x y)
 664                                                               (> (length x)
 665                                                                  (length y)))))
 666                                             "\\|")
 667                 calc-last-main-parse-table mtab
 668                 calc-last-user-lang-parse-table ltab
 669                 calc-last-lang-parse-table lltab)))))
 670
 671 ;;;###autoload
 672 (defun math-find-user-tokens (p)
 673   (while p
 674     (cond ((and (stringp (car p))
 675                 (or (> (length (car p)) 1) (equal (car p) "$")
 676                     (equal (car p) "\""))
 677                 (string-match "[^a-zA-Z0-9]" (car p)))
 678            (let ((s (regexp-quote (car p))))
 679              (if (string-match "\\`[a-zA-Z0-9]" s)
 680                  (setq s (concat "\\<" s)))
 681              (if (string-match "[a-zA-Z0-9]\\'" s)
 682                  (setq s (concat s "\\>")))
 683              (or (assoc s math-toks)
 684                  (progn
 685                    (setq math-toks (cons (list s) math-toks))
 686                    (or (memq (aref (car p) 0) calc-user-token-chars)
 687                        (setq calc-user-token-chars
 688                              (cons (aref (car p) 0)
 689                                    calc-user-token-chars)))))))
 690           ((consp (car p))
 691            (math-find-user-tokens (nth 1 (car p)))
 692            (or (eq (car (car p)) '\?)
 693                (math-find-user-tokens (nth 2 (car p))))))
 694     (setq p (cdr p))))
 695
 696 ;;;###autoload
 697 (defun math-read-token ()
 698   (if (>= math-exp-pos (length math-exp-str))
 699       (setq math-exp-old-pos math-exp-pos
 700             math-exp-token 'end
 701             math-expr-data "\000")
 702     (let (adfn
 703           (ch (aref math-exp-str math-exp-pos)))
 704       (setq math-exp-old-pos math-exp-pos)
 705       (cond ((memq ch '(32 10 9))
 706              (setq math-exp-pos (1+ math-exp-pos))
 707              (if math-exp-keep-spaces
 708                  (setq math-exp-token 'space
 709                        math-expr-data " ")
 710                (math-read-token)))
 711             ((and (memq ch calc-user-token-chars)
 712                   (let ((case-fold-search nil))
 713                     (eq (string-match
 714                          calc-user-tokens math-exp-str math-exp-pos)
 715                         math-exp-pos)))
 716              (setq math-exp-token 'punc
 717                    math-expr-data (math-match-substring math-exp-str 0)
 718                    math-exp-pos (match-end 0)))
 719             ((or (and (>= ch ?a) (<= ch ?z))
 720                  (and (>= ch ?A) (<= ch ?Z)))
 721              (string-match
 722               (cond
 723                ((and (memq calc-language calc-lang-allow-underscores)
 724                      (memq calc-language calc-lang-allow-percentsigns))
 725                 "[a-zA-Z0-9_'#]*")
 726                ((memq calc-language calc-lang-allow-underscores)
 727                                "[a-zA-Z0-9_#]*")
 728                (t "[a-zA-Z0-9'#]*"))
 729               math-exp-str math-exp-pos)
 730              (setq math-exp-token 'symbol
 731                    math-exp-pos (match-end 0)
 732                    math-expr-data (math-restore-dashes
 733                              (math-match-substring math-exp-str 0)))
 734              (if (setq adfn (get calc-language 'math-lang-adjust-words))
 735                  (funcall adfn)))
 736             ((or (and (>= ch ?0) (<= ch ?9))
 737                  (and (eq ch '?\.)
 738                       (eq (string-match "\\.[0-9]" math-exp-str math-exp-pos)
 739                           math-exp-pos))
 740                  (and (eq ch '?_)
 741                       (eq (string-match "_\\.?[0-9]" math-exp-str math-exp-pos)
 742                           math-exp-pos)
 743                       (or (eq math-exp-pos 0)
 744                           (and (not (memq calc-language
 745                                           calc-lang-allow-underscores))
 746                                (eq (string-match "[^])}\"a-zA-Z0-9'$]_"
 747                                                  math-exp-str (1- math-exp-pos))
 748                                    (1- math-exp-pos))))))
 749              (or (and (memq calc-language calc-lang-c-type-hex)
 750                       (string-match "0[xX][0-9a-fA-F]+" math-exp-str math-exp-pos))
 751                  (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-Z:.]+\\|[0-9]+:[0-9:]+\\|[0-9.]+\\([eE][-+_]?[0-9]+\\)?\"?\\)?"
 752                                math-exp-str math-exp-pos))
 753              (setq math-exp-token 'number
 754                    math-expr-data (math-match-substring math-exp-str 0)
 755                    math-exp-pos (match-end 0)))
 756             ((and (setq adfn
 757                         (assq ch (get calc-language 'math-lang-read-symbol)))
 758                   (eval (nth 1 adfn)))
 759              (eval (nth 2 adfn)))
 760             ((eq ch ?\$)
 761              (if (eq (string-match "\\$\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
 762                      math-exp-pos)
 763                  (setq math-expr-data (- (string-to-number (math-match-substring
 764                                                             math-exp-str 1))))
 765                (string-match "\\$+" math-exp-str math-exp-pos)
 766                (setq math-expr-data (- (match-end 0) (match-beginning 0))))
 767              (setq math-exp-token 'dollar
 768                    math-exp-pos (match-end 0)))
 769             ((eq ch ?\#)
 770              (if (eq (string-match "#\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
 771                      math-exp-pos)
 772                  (setq math-expr-data (string-to-number
 773                                  (math-match-substring math-exp-str 1))
 774                        math-exp-pos (match-end 0))
 775                (setq math-expr-data 1
 776                      math-exp-pos (1+ math-exp-pos)))
 777              (setq math-exp-token 'hash))
 778             ((eq (string-match "~=\\|<=\\|>=\\|<>\\|/=\\|\\+/-\\|\\\\dots\\|\\\\ldots\\|\\*\\*\\|<<\\|>>\\|==\\|!=\\|&&&\\||||\\|!!!\\|&&\\|||\\|!!\\|:=\\|::\\|=>"
 779                                math-exp-str math-exp-pos)
 780                  math-exp-pos)
 781              (setq math-exp-token 'punc
 782                    math-expr-data (math-match-substring math-exp-str 0)
 783                    math-exp-pos (match-end 0)))
 784             ((and (eq ch ?\")
 785                   (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)"
 786                                 math-exp-str math-exp-pos))
 787              (setq math-exp-token 'string
 788                    math-expr-data (math-match-substring math-exp-str 1)
 789                    math-exp-pos (match-end 0)))
 790             ((and (setq adfn (get calc-language 'math-lang-read))
 791                   (eval (nth 0 adfn))
 792                   (eval (nth 1 adfn))))
 793             ((eq (string-match "%%.*$" math-exp-str math-exp-pos) math-exp-pos)
 794              (setq math-exp-pos (match-end 0))
 795              (math-read-token))
 796             (t
 797              (if (setq adfn (assq ch (get calc-language 'math-punc-table)))
 798                  (setq ch (cdr adfn)))
 799              (setq math-exp-token 'punc
 800                    math-expr-data (char-to-string ch)
 801                    math-exp-pos (1+ math-exp-pos)))))))
 802
 803 (defconst math-alg-inequalities
 804   '(calcFunc-lt calcFunc-gt calcFunc-leq calcFunc-geq
 805                 calcFunc-eq calcFunc-neq))
 806
 807 (defun math-read-expr-level (exp-prec &optional exp-term)
 808   (let* ((math-expr-opers (math-expr-ops))
 809          (x (math-read-factor))
 810          (first t)
 811          op op2)
 812     (while (and (or (and calc-user-parse-table
 813                          (setq op (calc-check-user-syntax x exp-prec))
 814                          (setq x op
 815                                op '("2x" ident 999999 -1)))
 816                     (and (setq op (assoc math-expr-data math-expr-opers))
 817                          (/= (nth 2 op) -1)
 818                          (or (and (setq op2 (assoc
 819                                              math-expr-data
 820                                              (cdr (memq op math-expr-opers))))
 821                                   (eq (= (nth 3 op) -1)
 822                                       (/= (nth 3 op2) -1))
 823                                   (eq (= (nth 3 op2) -1)
 824                                       (not (math-factor-after)))
 825                                   (setq op op2))
 826                              t))
 827                     (and (or (eq (nth 2 op) -1)
 828                              (memq math-exp-token '(symbol number dollar hash))
 829                              (equal math-expr-data "(")
 830                              (and (equal math-expr-data "[")
 831                                   (not (equal
 832                                         (get calc-language
 833                                              'math-function-open) "["))
 834                                   (not (and math-exp-keep-spaces
 835                                             (eq (car-safe x) 'vec)))))
 836                          (or (not (setq op (assoc math-expr-data math-expr-opers)))
 837                              (/= (nth 2 op) -1))
 838                          (or (not calc-user-parse-table)
 839                              (not (eq math-exp-token 'symbol))
 840                              (let ((p calc-user-parse-table))
 841                                (while (and p
 842                                            (or (not (integerp
 843                                                      (car (car (car p)))))
 844                                                (not (equal
 845                                                      (nth 1 (car (car p)))
 846                                                      math-expr-data))))
 847                                  (setq p (cdr p)))
 848                                (not p)))
 849                          (setq op (assoc "2x" math-expr-opers))))
 850                 (not (and exp-term (equal math-expr-data exp-term)))
 851                 (>= (nth 2 op) exp-prec))
 852       (if (not (equal (car op) "2x"))
 853           (math-read-token))
 854       (and (memq (nth 1 op) '(sdev mod))
 855            (require 'calc-ext))
 856       (setq x (cond ((consp (nth 1 op))
 857                      (funcall (car (nth 1 op)) x op))
 858                     ((eq (nth 3 op) -1)
 859                      (if (eq (nth 1 op) 'ident)
 860                          x
 861                        (if (eq (nth 1 op) 'closing)
 862                            (if (eq (nth 2 op) exp-prec)
 863                                (progn
 864                                  (setq exp-prec 1000)
 865                                  x)
 866                              (throw 'syntax "Mismatched delimiters"))
 867                          (list (nth 1 op) x))))
 868                     ((and (not first)
 869                           (memq (nth 1 op) math-alg-inequalities)
 870                           (memq (car-safe x) math-alg-inequalities))
 871                      (require 'calc-ext)
 872                      (math-composite-inequalities x op))
 873                     (t (list (nth 1 op)
 874                              x
 875                              (math-read-expr-level (nth 3 op) exp-term))))
 876             first nil))
 877     x))
 878
 879 ;; calc-arg-values is defined in calc-ext.el, but is used here.
 880 (defvar calc-arg-values)
 881
 882 ;;;###autoload
 883 (defun calc-check-user-syntax (&optional x prec)
 884   (let ((p calc-user-parse-table)
 885         (matches nil)
 886         match rule)
 887     (while (and p
 888                 (or (not (progn
 889                            (setq rule (car (car p)))
 890                            (if x
 891                                (and (integerp (car rule))
 892                                     (>= (car rule) prec)
 893                                     (equal math-expr-data
 894                                            (car (setq rule (cdr rule)))))
 895                              (equal math-expr-data (car rule)))))
 896                     (let ((save-exp-pos math-exp-pos)
 897                           (save-exp-old-pos math-exp-old-pos)
 898                           (save-exp-token math-exp-token)
 899                           (save-exp-data math-expr-data))
 900                       (or (not (listp
 901                                 (setq matches (calc-match-user-syntax rule))))
 902                           (let ((args (progn
 903                                         (require 'calc-ext)
 904                                         calc-arg-values))
 905                                 (conds nil)
 906                                 temp)
 907                             (if x
 908                                 (setq matches (cons x matches)))
 909                             (setq match (cdr (car p)))
 910                             (while (and (eq (car-safe match)
 911                                             'calcFunc-condition)
 912                                         (= (length match) 3))
 913                               (setq conds (append (math-flatten-lands
 914                                                    (nth 2 match))
 915                                                   conds)
 916                                     match (nth 1 match)))
 917                             (while (and conds match)
 918                               (require 'calc-ext)
 919                               (cond ((eq (car-safe (car conds))
 920                                          'calcFunc-let)
 921                                      (setq temp (car conds))
 922                                      (or (= (length temp) 3)
 923                                          (and (= (length temp) 2)
 924                                               (eq (car-safe (nth 1 temp))
 925                                                   'calcFunc-assign)
 926                                               (= (length (nth 1 temp)) 3)
 927                                               (setq temp (nth 1 temp)))
 928                                          (setq match nil))
 929                                      (setq matches (cons
 930                                                     (math-normalize
 931                                                      (math-multi-subst
 932                                                       (nth 2 temp)
 933                                                       args matches))
 934                                                     matches)
 935                                            args (cons (nth 1 temp)
 936                                                       args)))
 937                                     ((and (eq (car-safe (car conds))
 938                                               'calcFunc-matches)
 939                                           (= (length (car conds)) 3))
 940                                      (setq temp (calcFunc-vmatches
 941                                                  (math-multi-subst
 942                                                   (nth 1 (car conds))
 943                                                   args matches)
 944                                                  (nth 2 (car conds))))
 945                                      (if (eq temp 0)
 946                                          (setq match nil)
 947                                        (while (setq temp (cdr temp))
 948                                          (setq matches (cons (nth 2 (car temp))
 949                                                              matches)
 950                                                args (cons (nth 1 (car temp))
 951                                                           args)))))
 952                                     (t
 953                                      (or (math-is-true (math-simplify
 954                                                         (math-multi-subst
 955                                                          (car conds)
 956                                                          args matches)))
 957                                          (setq match nil))))
 958                               (setq conds (cdr conds)))
 959                             (if match
 960                                 (not (setq match (math-multi-subst
 961                                                   match args matches)))
 962                               (setq math-exp-old-pos save-exp-old-pos
 963                                     math-exp-token save-exp-token
 964                                     math-expr-data save-exp-data
 965                                     math-exp-pos save-exp-pos)))))))
 966       (setq p (cdr p)))
 967     (and p match)))
 968
 969 ;;;###autoload
 970 (defun calc-match-user-syntax (p &optional term)
 971   (let ((matches nil)
 972         (save-exp-pos math-exp-pos)
 973         (save-exp-old-pos math-exp-old-pos)
 974         (save-exp-token math-exp-token)
 975         (save-exp-data math-expr-data)
 976         m)
 977     (while (and p
 978                 (cond ((stringp (car p))
 979                        (and (equal math-expr-data (car p))
 980                             (progn
 981                               (math-read-token)
 982                               t)))
 983                       ((integerp (car p))
 984                        (and (setq m (catch 'syntax
 985                                       (math-read-expr-level
 986                                        (car p)
 987                                        (if (cdr p)
 988                                            (if (consp (nth 1 p))
 989                                                (car (nth 1 (nth 1 p)))
 990                                              (nth 1 p))
 991                                          term))))
 992                             (not (stringp m))
 993                             (setq matches (nconc matches (list m)))))
 994                       ((eq (car (car p)) '\?)
 995                        (setq m (calc-match-user-syntax (nth 1 (car p))))
 996                        (or (nth 2 (car p))
 997                            (setq matches
 998                                  (nconc matches
 999                                         (list
1000                                          (cons 'vec (and (listp m) m))))))
1001                        (or (listp m) (not (nth 2 (car p)))
1002                            (not (eq (aref (car (nth 2 (car p))) 0) ?\$))
1003                            (eq math-exp-token 'end)))
1004                       (t
1005                        (setq m (calc-match-user-syntax (nth 1 (car p))
1006                                                        (car (nth 2 (car p)))))
1007                        (if (listp m)
1008                            (let ((vec (cons 'vec m))
1009                                  opos mm)
1010                              (while (and (listp
1011                                           (setq opos math-exp-pos
1012                                                 mm (calc-match-user-syntax
1013                                                     (or (nth 2 (car p))
1014                                                         (nth 1 (car p)))
1015                                                     (car (nth 2 (car p))))))
1016                                          (> math-exp-pos opos))
1017                                (setq vec (nconc vec mm)))
1018                              (setq matches (nconc matches (list vec))))
1019                          (and (eq (car (car p)) '*)
1020                               (setq matches (nconc matches (list '(vec)))))))))
1021       (setq p (cdr p)))
1022     (if p
1023         (setq math-exp-pos save-exp-pos
1024               math-exp-old-pos save-exp-old-pos
1025               math-exp-token save-exp-token
1026               math-expr-data save-exp-data
1027               matches "Failed"))
1028     matches))
1029
1030 ;;;###autoload
1031 (defun math-remove-dashes (x)
1032   (if (string-match "\\`\\(.*\\)-\\(.*\\)\\'" x)
1033       (math-remove-dashes
1034        (concat (math-match-substring x 1) "#" (math-match-substring x 2)))
1035     x))
1036
1037 (defun math-remove-percentsigns (x)
1038   (if (string-match "\\`\\(.*\\)%\\(.*\\)\\'" x)
1039       (math-remove-percentsigns
1040        (concat (math-match-substring x 1) "o'o" (math-match-substring x 2)))
1041     x))
1042
1043 (defun math-restore-dashes (x)
1044   (if (string-match "\\`\\(.*\\)[#_]\\(.*\\)\\'" x)
1045       (math-restore-dashes
1046        (concat (math-match-substring x 1) "-" (math-match-substring x 2)))
1047     x))
1048
1049 (defun math-restore-placeholders (x)
1050   "Replace placeholders by the proper characters in the symbol x.
1051 This includes `#' for `_' and `'' for `%'.
1052 If the current Calc language does not use placeholders, return nil."
1053   (if (or (memq calc-language calc-lang-allow-underscores)
1054           (memq calc-language calc-lang-allow-percentsigns))
1055       (let ((sx (symbol-name x)))
1056         (when (memq calc-language calc-lang-allow-percentsigns)
1057           (require 'calccomp)
1058           (setq sx (math-to-percentsigns sx)))
1059         (if (memq calc-language calc-lang-allow-underscores)
1060             (setq sx (math-string-restore-underscores sx)))
1061         (intern-soft sx))))
1062
1063 (defun math-string-restore-underscores (x)
1064   "Replace pound signs by underscores in the string x."
1065   (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x)
1066       (math-string-restore-underscores
1067        (concat (math-match-substring x 1) "_" (math-match-substring x 2)))
1068     x))
1069
1070 ;;;###autoload
1071 (defun math-read-if (cond op)
1072   (let ((then (math-read-expr-level 0)))
1073     (or (equal math-expr-data ":")
1074         (throw 'syntax "Expected ':'"))
1075     (math-read-token)
1076     (list 'calcFunc-if cond then (math-read-expr-level (nth 3 op)))))
1077
1078 (defun math-factor-after ()
1079   (let ((math-exp-pos math-exp-pos)
1080         math-exp-old-pos math-exp-token math-expr-data)
1081     (math-read-token)
1082     (or (memq math-exp-token '(number symbol dollar hash string))
1083         (and (assoc math-expr-data '(("-") ("+") ("!") ("|") ("/")))
1084              (assoc (concat "u" math-expr-data) math-expr-opers))
1085         (eq (nth 2 (assoc math-expr-data math-expr-opers)) -1)
1086         (assoc math-expr-data '(("(") ("[") ("{"))))))
1087
1088 (defun math-read-factor ()
1089   (let ((math-expr-opers (math-expr-ops))
1090         op)
1091     (cond ((eq math-exp-token 'number)
1092            (let ((num (math-read-number math-expr-data)))
1093              (if (not num)
1094                  (progn
1095                    (setq math-exp-old-pos math-exp-pos)
1096                    (throw 'syntax "Bad format")))
1097              (math-read-token)
1098              (if (and math-read-expr-quotes
1099                       (consp num))
1100                  (list 'quote num)
1101                num)))
1102           ((and calc-user-parse-table
1103                 (setq op (calc-check-user-syntax)))
1104            op)
1105           ((or (equal math-expr-data "-")
1106                (equal math-expr-data "+")
1107                (equal math-expr-data "!")
1108                (equal math-expr-data "|")
1109                (equal math-expr-data "/"))
1110            (setq math-expr-data (concat "u" math-expr-data))
1111            (math-read-factor))
1112           ((and (setq op (assoc math-expr-data math-expr-opers))
1113                 (eq (nth 2 op) -1))
1114            (if (consp (nth 1 op))
1115                (funcall (car (nth 1 op)) op)
1116              (math-read-token)
1117              (let ((val (math-read-expr-level (nth 3 op))))
1118                (cond ((eq (nth 1 op) 'ident)
1119                       val)
1120                      ((and (Math-numberp val)
1121                            (equal (car op) "u-"))
1122                       (math-neg val))
1123                      (t (list (nth 1 op) val))))))
1124           ((eq math-exp-token 'symbol)
1125            (let ((sym (intern math-expr-data)))
1126              (math-read-token)
1127              (if (equal math-expr-data calc-function-open)
1128                  (let ((f (assq sym math-expr-function-mapping)))
1129                    (math-read-token)
1130                    (if (consp (cdr f))
1131                        (funcall (car (cdr f)) f sym)
1132                      (let ((args (if (or (equal math-expr-data calc-function-close)
1133                                          (eq math-exp-token 'end))
1134                                      nil
1135                                    (math-read-expr-list))))
1136                        (if (not (or (equal math-expr-data calc-function-close)
1137                                     (eq math-exp-token 'end)))
1138                            (throw 'syntax "Expected `)'"))
1139                        (math-read-token)
1140                        (if (and (memq calc-language
1141                                       calc-lang-parens-are-subscripts)
1142                                 args
1143                                 (require 'calc-ext)
1144                                 (let ((calc-matrix-mode 'scalar))
1145                                   (math-known-matrixp
1146                                    (list 'var sym
1147                                          (intern
1148                                           (concat "var-"
1149                                                   (symbol-name sym)))))))
1150                            (math-parse-fortran-subscr sym args)
1151                          (if f
1152                              (setq sym (cdr f))
1153                            (and (= (aref (symbol-name sym) 0) ?\\)
1154                                 (< (prefix-numeric-value calc-language-option)
1155                                    0)
1156                                 (setq sym (intern (substring (symbol-name sym)
1157                                                              1))))
1158                            (or (string-match "-" (symbol-name sym))
1159                                (setq sym (intern
1160                                           (concat "calcFunc-"
1161                                                   (symbol-name sym))))))
1162                          (cons sym args)))))
1163                (if math-read-expr-quotes
1164                    sym
1165                  (let ((val (list 'var
1166                                   (intern (math-remove-dashes
1167                                            (symbol-name sym)))
1168                                   (if (string-match "-" (symbol-name sym))
1169                                       sym
1170                                     (intern (concat "var-"
1171                                                     (symbol-name sym)))))))
1172                    (let ((v (or
1173                              (assq (nth 1 val) math-expr-variable-mapping)
1174                              (assq (math-restore-placeholders (nth 1 val))
1175                                    math-expr-variable-mapping))))
1176                      (and v (setq val (if (consp (cdr v))
1177                                           (funcall (car (cdr v)) v val)
1178                                         (list 'var
1179                                               (intern
1180                                                (substring (symbol-name (cdr v))
1181                                                           4))
1182                                               (cdr v))))))
1183                    (while (and (memq calc-language
1184                                      calc-lang-brackets-are-subscripts)
1185                                (equal math-expr-data "["))
1186                      (math-read-token)
1187                      (let ((el (math-read-expr-list)))
1188                        (while el
1189                          (setq val (append (list 'calcFunc-subscr val)
1190                                            (list (car el))))
1191                          (setq el (cdr el))))
1192                      (if (equal math-expr-data "]")
1193                          (math-read-token)
1194                        (throw 'syntax "Expected ']'")))
1195                    val)))))
1196           ((eq math-exp-token 'dollar)
1197            (let ((abs (if (> math-expr-data 0) math-expr-data (- math-expr-data))))
1198              (if (>= (length calc-dollar-values) abs)
1199                  (let ((num math-expr-data))
1200                    (math-read-token)
1201                    (setq calc-dollar-used (max calc-dollar-used num))
1202                    (math-check-complete (nth (1- abs) calc-dollar-values)))
1203                (throw 'syntax (if calc-dollar-values
1204                                   "Too many $'s"
1205                                 "$'s not allowed in this context")))))
1206           ((eq math-exp-token 'hash)
1207            (or calc-hashes-used
1208                (throw 'syntax "#'s not allowed in this context"))
1209            (require 'calc-ext)
1210            (if (<= math-expr-data (length calc-arg-values))
1211                (let ((num math-expr-data))
1212                  (math-read-token)
1213                  (setq calc-hashes-used (max calc-hashes-used num))
1214                  (nth (1- num) calc-arg-values))
1215              (throw 'syntax "Too many # arguments")))
1216           ((equal math-expr-data "(")
1217            (let* ((exp (let ((math-exp-keep-spaces nil))
1218                          (math-read-token)
1219                          (if (or (equal math-expr-data "\\dots")
1220                                  (equal math-expr-data "\\ldots"))
1221                              '(neg (var inf var-inf))
1222                            (math-read-expr-level 0)))))
1223              (let ((math-exp-keep-spaces nil))
1224                (cond
1225                 ((equal math-expr-data ",")
1226                  (progn
1227                    (math-read-token)
1228                    (let ((exp2 (math-read-expr-level 0)))
1229                      (setq exp
1230                            (if (and exp2 (Math-realp exp) (Math-realp exp2))
1231                                (math-normalize (list 'cplx exp exp2))
1232                              (list '+ exp (list '* exp2 '(var i var-i))))))))
1233                 ((equal math-expr-data ";")
1234                  (progn
1235                    (math-read-token)
1236                    (let ((exp2 (math-read-expr-level 0)))
1237                      (setq exp (if (and exp2 (Math-realp exp)
1238                                         (Math-anglep exp2))
1239                                    (math-normalize (list 'polar exp exp2))
1240                                  (require 'calc-ext)
1241                                  (list '* exp
1242                                        (list 'calcFunc-exp
1243                                              (list '*
1244                                                    (math-to-radians-2 exp2)
1245                                                    '(var i var-i)))))))))
1246                 ((or (equal math-expr-data "\\dots")
1247                      (equal math-expr-data "\\ldots"))
1248                  (progn
1249                    (math-read-token)
1250                    (let ((exp2 (if (or (equal math-expr-data ")")
1251                                        (equal math-expr-data "]")
1252                                        (eq math-exp-token 'end))
1253                                    '(var inf var-inf)
1254                                  (math-read-expr-level 0))))
1255                      (setq exp
1256                            (list 'intv
1257                                  (if (equal math-expr-data ")") 0 1)
1258                                  exp
1259                                  exp2)))))))
1260              (if (not (or (equal math-expr-data ")")
1261                           (and (equal math-expr-data "]") (eq (car-safe exp) 'intv))
1262                           (eq math-exp-token 'end)))
1263                  (throw 'syntax "Expected `)'"))
1264              (math-read-token)
1265              exp))
1266           ((eq math-exp-token 'string)
1267            (require 'calc-ext)
1268            (math-read-string))
1269           ((equal math-expr-data "[")
1270            (require 'calc-ext)
1271            (math-read-brackets t "]"))
1272           ((equal math-expr-data "{")
1273            (require 'calc-ext)
1274            (math-read-brackets nil "}"))
1275           ((equal math-expr-data "<")
1276            (require 'calc-ext)
1277            (math-read-angle-brackets))
1278           (t (throw 'syntax "Expected a number")))))
1279
1280 (provide 'calc-aent)
1281
1282 ;; Local variables:
1283 ;; generated-autoload-file: "calc-loaddefs.el"
1284 ;; End:
1285
1286 ;; arch-tag: 5599e45d-e51e-44bb-9a20-9f4ed8c96c32
1287 ;;; calc-aent.el ends here