1 ;;; calc-aent.el --- algebraic entry functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001 Free Software Foundation, Inc.
5 ;; Author: Dave Gillespie <daveg@synaptics.com>
6 ;; Maintainer: Jay Belanger <belanger@truman.edu>
8 ;; This file is part of GNU Emacs.
10 ;; GNU Emacs is distributed in the hope that it will be useful,
11 ;; but WITHOUT ANY WARRANTY. No author or distributor
12 ;; accepts responsibility to anyone for the consequences of using it
13 ;; or for whether it serves any particular purpose or works at all,
14 ;; unless he says so in writing. Refer to the GNU Emacs General Public
15 ;; License for full details.
17 ;; Everyone is granted permission to copy, modify and redistribute
18 ;; GNU Emacs, but only under the conditions described in the
19 ;; GNU Emacs General Public License. A copy of this license is
20 ;; supposed to have been given to you along with GNU Emacs so you
21 ;; can know your rights and responsibilities. It should be in a
22 ;; file named COPYING. Among other things, the copyright notice
23 ;; and this notice must be preserved on all copies.
29 ;; This file is autoloaded from calc.el.
34 (defun calc-do-quick-calc ()
36 (if (eq major-mode 'calc-mode)
37 (calc-algebraic-entry t)
41 (let* ((calc-command-flags nil)
42 (calc-dollar-values calc-quick-prev-results)
44 (enable-recursive-minibuffers t)
45 (calc-language (if (memq calc-language '(nil big))
47 (entry (calc-do-alg-entry "" "Quick calc: " t))
48 (alg-exp (mapcar (function
50 (if (and (not (featurep 'calc-ext))
51 calc-previous-alg-entry
53 "\\`[-0-9._+*/^() ]+\\'"
54 calc-previous-alg-entry))
57 (math-evaluate-expr x))))
59 (when (and (= (length alg-exp) 1)
60 (eq (car-safe (car alg-exp)) 'calcFunc-assign)
61 (= (length (car alg-exp)) 3)
62 (eq (car-safe (nth 1 (car alg-exp))) 'var))
64 (set (nth 2 (nth 1 (car alg-exp))) (nth 2 (car alg-exp)))
65 (calc-refresh-evaltos (nth 2 (nth 1 (car alg-exp))))
66 (setq alg-exp (list (nth 2 (car alg-exp)))))
67 (setq calc-quick-prev-results alg-exp
68 buf (mapconcat (function (lambda (x)
69 (math-format-value x 1000)))
73 (if (and (= (length alg-exp) 1)
74 (memq (car-safe (car alg-exp)) '(nil bigpos bigneg))
76 (= calc-number-radix 10))
77 (setq buf (concat buf " ("
78 (let ((calc-number-radix 16))
79 (math-format-value (car alg-exp) 1000))
81 (let ((calc-number-radix 8))
82 (math-format-value (car alg-exp) 1000))
83 (if (and (integerp (car alg-exp))
85 (< (car alg-exp) 127))
86 (format ", \"%c\"" (car alg-exp))
89 (if (and (< (length buf) (frame-width)) (= (length entry) 1)
91 (let ((long (concat (math-format-value (car entry) 1000)
93 (if (<= (length long) (- (frame-width) 8))
96 (message "Result: %s" buf)))
97 (if (eq last-command-char 10)
99 (kill-new shortbuf)))))
101 (defun calc-do-calc-eval (str separator args)
107 ((and (consp str) (not (symbolp (car str))))
108 (let ((calc-language nil)
109 (math-expr-opers math-standard-opers)
110 (calc-internal-prec 12)
112 (calc-symbolic-mode nil)
113 (calc-matrix-mode nil)
114 (calc-angle-mode 'deg)
115 (calc-number-radix 10)
116 (calc-leading-zeros nil)
117 (calc-group-digits nil)
118 (calc-point-char ".")
119 (calc-frac-format '(":" nil))
120 (calc-prefer-frac nil)
121 (calc-hms-format "%s@ %s' %s\"")
122 (calc-date-format '((H ":" mm C SS pp " ")
123 Www " " Mmm " " D ", " YYYY))
124 (calc-float-format '(float 0))
125 (calc-full-float-format '(float 0))
126 (calc-complex-format nil)
127 (calc-matrix-just nil)
128 (calc-full-vectors t)
129 (calc-break-vectors nil)
130 (calc-vector-commas ",")
131 (calc-vector-brackets "[]")
132 (calc-matrix-brackets '(R O))
133 (calc-complex-mode 'cplx)
134 (calc-infinite-mode nil)
135 (calc-display-strings nil)
136 (calc-simplify-mode nil)
137 (calc-display-working-message 'lots)
140 (set (car strp) (nth 1 strp))
141 (setq strp (cdr (cdr strp))))
142 (calc-do-calc-eval (car str) separator args)))
143 ((eq separator 'eval)
145 ((eq separator 'macro)
147 (let* ((calc-buffer (current-buffer))
148 (calc-window (get-buffer-window calc-buffer))
149 (save-window (selected-window)))
153 (select-window calc-window)
154 (calc-execute-kbd-macro str nil (car args)))
155 (and (window-point save-window)
156 (select-window save-window)))
157 (save-window-excursion
158 (select-window (get-largest-window))
159 (switch-to-buffer calc-buffer)
160 (calc-execute-kbd-macro str nil (car args)))))
163 (or (not (integerp str))
165 (calc-pop (min str (calc-stack-size))))
170 (<= str (calc-stack-size))
171 (math-format-value (calc-top-n str (car args)) 1000)))
172 ((eq separator 'rawtop)
175 (<= str (calc-stack-size))
176 (calc-top-n str (car args))))
178 (let* ((calc-command-flags nil)
180 (calc-language (if (memq calc-language '(nil big))
181 'flat calc-language))
182 (calc-dollar-values (mapcar
187 (setq x (math-read-exprs x))
197 (res (if (stringp str)
198 (math-read-exprs str)
201 (if (eq (car res) 'error)
202 (calc-eval-error (cdr res))
203 (setq res (mapcar 'calc-normalize res))
204 (and (memq 'clear-message calc-command-flags)
206 (cond ((eq separator 'pred)
208 (if (= (length res) 1)
209 (math-is-true (car res))
210 (calc-eval-error '(0 "Single value expected"))))
212 (if (= (length res) 1)
214 (calc-eval-error '(0 "Single value expected"))))
215 ((eq separator 'list)
217 ((memq separator '(num rawnum))
218 (if (= (length res) 1)
219 (if (math-constp (car res))
220 (if (eq separator 'num)
221 (math-format-value (car res) 1000)
226 (calc-explain-why (car calc-next-why))
227 "Number expected"))))
228 (calc-eval-error '(0 "Single value expected"))))
229 ((eq separator 'push)
233 (setq buf (concat buf
234 (and buf (or separator ", "))
235 (math-format-value (car res) 1000))
239 (defvar calc-eval-error nil
240 "Determines how calc handles errors.
241 NIL means return a list containing the character position of error.
242 STRING means return error message as string rather than list.
243 T means abort and give an error message.")
245 (defun calc-eval-error (msg)
247 (if (eq calc-eval-error 'string)
249 (error "%s" (nth 1 msg)))
253 ;;;; Reading an expression in algebraic form.
255 (defun calc-auto-algebraic-entry (&optional prefix)
257 (calc-algebraic-entry prefix t))
259 (defun calc-algebraic-entry (&optional prefix auto)
262 (let ((calc-language (if prefix nil calc-language))
263 (math-expr-opers (if prefix math-standard-opers math-expr-opers)))
264 (calc-alg-entry (and auto (char-to-string last-command-char))))))
266 (defun calc-alg-entry (&optional initial prompt)
267 (let* ((sel-mode nil)
268 (calc-dollar-values (mapcar 'calc-get-stack-element
269 (nthcdr calc-stack-top calc-stack)))
272 (alg-exp (calc-do-alg-entry initial prompt t)))
273 (if (stringp alg-exp)
276 (calc-alg-edit alg-exp))
277 (let* ((calc-simplify-mode (if (eq last-command-char ?\C-j)
280 (nvals (mapcar 'calc-normalize alg-exp)))
282 (calc-record (if (featurep 'calc-ext) (car alg-exp) (car nvals))
284 (calc-pop-push-record-list calc-dollar-used
285 (and (not (equal (car alg-exp)
290 (setq alg-exp (cdr alg-exp)
292 calc-dollar-used 0)))
293 (calc-handle-whys))))
295 (defvar calc-alg-ent-map nil
296 "The keymap used for algebraic entry.")
298 (defvar calc-alg-ent-esc-map nil
299 "The keymap used for escapes in algebraic entry.")
301 (defvar calc-alg-exp)
303 (defun calc-do-alg-entry (&optional initial prompt no-normalize)
304 (let* ((calc-buffer (current-buffer))
305 (blink-paren-function 'calcAlg-blink-matching-open)
306 (calc-alg-exp 'error))
307 (unless calc-alg-ent-map
308 (setq calc-alg-ent-map (copy-keymap minibuffer-local-map))
309 (define-key calc-alg-ent-map "'" 'calcAlg-previous)
310 (define-key calc-alg-ent-map "`" 'calcAlg-edit)
311 (define-key calc-alg-ent-map "\C-m" 'calcAlg-enter)
312 (define-key calc-alg-ent-map "\C-j" 'calcAlg-enter)
314 (setq calc-alg-ent-esc-map (copy-keymap esc-map))
316 (aset (nth 1 calc-alg-ent-esc-map) i 'calcAlg-escape)
318 (define-key calc-alg-ent-map "\e" nil)
319 (if (eq calc-algebraic-mode 'total)
320 (define-key calc-alg-ent-map "\e" calc-alg-ent-esc-map)
321 (define-key calc-alg-ent-map "\ep" 'calcAlg-plus-minus)
322 (define-key calc-alg-ent-map "\em" 'calcAlg-mod)
323 (define-key calc-alg-ent-map "\e=" 'calcAlg-equals)
324 (define-key calc-alg-ent-map "\e\r" 'calcAlg-equals)
325 (define-key calc-alg-ent-map "\e%" 'self-insert-command))
326 (setq calc-aborted-prefix nil)
327 (let ((buf (read-from-minibuffer (or prompt "Algebraic: ")
329 calc-alg-ent-map nil)))
330 (when (eq calc-alg-exp 'error)
331 (when (eq (car-safe (setq calc-alg-exp (math-read-exprs buf))) 'error)
332 (setq calc-alg-exp nil)))
333 (setq calc-aborted-prefix "alg'")
335 (and calc-alg-exp (setq calc-alg-exp (mapcar 'calc-normalize calc-alg-exp))))
338 (defun calcAlg-plus-minus ()
340 (if (calc-minibuffer-contains ".* \\'")
344 (defun calcAlg-mod ()
346 (if (not (calc-minibuffer-contains ".* \\'"))
348 (if (calc-minibuffer-contains ".* mod +\\'")
349 (if calc-previous-modulo
350 (insert (math-format-flat-expr calc-previous-modulo 0))
354 (defun calcAlg-previous ()
356 (if (calc-minibuffer-contains "\\'")
357 (if calc-previous-alg-entry
358 (insert calc-previous-alg-entry)
362 (defun calcAlg-equals ()
366 (if (consp calc-alg-exp)
367 (progn (setq prefix-arg (length calc-alg-exp))
368 (calc-unread-command ?=)))))
370 (defun calcAlg-escape ()
372 (calc-unread-command)
375 (use-local-map calc-mode-map))
378 (defvar calc-plain-entry nil)
379 (defun calcAlg-edit ()
381 (if (or (not calc-plain-entry)
382 (calc-minibuffer-contains
383 "\\`\\([^\"]*\"[^\"]*\"\\)*[^\"]*\"[^\"]*\\'"))
385 (setq calc-alg-exp (minibuffer-contents))
386 (and (> (length calc-alg-exp) 0) (setq calc-previous-alg-entry calc-alg-exp))
391 (defun calcAlg-enter ()
393 (let* ((str (minibuffer-contents))
394 (exp (and (> (length str) 0)
396 (set-buffer calc-buffer)
397 (math-read-exprs str)))))
398 (if (eq (car-safe exp) 'error)
400 (goto-char (minibuffer-prompt-end))
401 (forward-char (nth 1 exp))
403 (calc-temp-minibuffer-message
404 (concat " [" (or (nth 2 exp) "Error") "]"))
405 (calc-clear-unread-commands))
406 (setq calc-alg-exp (if (calc-minibuffer-contains "\\` *\\[ *\\'")
409 (and (> (length str) 0) (setq calc-previous-alg-entry str))
412 (defun calcAlg-blink-matching-open ()
413 (let ((rightpt (point))
415 (rightchar (preceding-char))
421 (setq leftpt (scan-sexps rightpt -1)
422 leftchar (char-after leftpt))
425 (or (and (= rightchar ?\))
427 (and (= rightchar ?\])
431 (looking-at ".+\\(\\.\\.\\|\\\\dots\\|\\\\ldots\\)")))
432 (let ((leftsaved (aref (syntax-table) leftchar))
433 (rightsaved (aref (syntax-table) rightchar)))
436 (cond ((= leftchar ?\[)
437 (aset (syntax-table) leftchar (cons 4 ?\)))
438 (aset (syntax-table) rightchar (cons 5 ?\[)))
440 (aset (syntax-table) leftchar (cons 4 ?\]))
441 (aset (syntax-table) rightchar (cons 5 ?\())))
442 (blink-matching-open))
443 (aset (syntax-table) leftchar leftsaved)
444 (aset (syntax-table) rightchar rightsaved)))
445 (blink-matching-open))))
447 (defun calc-alg-digit-entry ()
449 (cond ((eq last-command-char ?e)
450 (if (> calc-number-radix 14) (format "%d.^" calc-number-radix) "1e"))
451 ((eq last-command-char ?#) (format "%d#" calc-number-radix))
452 ((eq last-command-char ?_) "-")
453 ((eq last-command-char ?@) "0@ ")
454 (t (char-to-string last-command-char)))))
456 ;; The variable calc-digit-value is initially declared in calc.el,
457 ;; but can be set by calcDigit-algebraic and calcDigit-edit.
458 (defvar calc-digit-value)
460 (defun calcDigit-algebraic ()
462 (if (calc-minibuffer-contains ".*[@oh] *[^'m ]+[^'m]*\\'")
464 (setq calc-digit-value (minibuffer-contents))
467 (defun calcDigit-edit ()
469 (calc-unread-command)
470 (setq calc-digit-value (minibuffer-contents))
474 ;;; Algebraic expression parsing. [Public]
476 (defvar math-read-replacement-list
478 ("±" "+/-") ; plus or minus
479 ("×" "*") ; multiplication sign
480 ("÷" ":") ; division sign
481 ("−" "-") ; subtraction sign
482 ("∕" "/") ; division sign
483 ("∗" "*") ; asterisk multiplication
484 ("∞" "inf") ; infinity symbol
538 "A list whose elements (old new) indicate replacements to make
539 in Calc algebraic input.")
541 (defvar math-read-superscripts
542 "⁰¹²³⁴⁵⁶⁷⁸⁹⁺⁻⁽⁾ⁿⁱ" ; 0123456789+-()ni
543 "A string consisting of the superscripts allowed by Calc.")
545 (defvar math-read-subscripts
546 "₀₁₂₃₄₅₆₇₈₉₊₋₍₎" ; 0123456789+-()
547 "A string consisting of the subscripts allowed by Calc.")
549 (defun math-read-preprocess-string (str)
550 "Replace some substrings of STR by Calc equivalents."
552 (replace-regexp-in-string (concat "[" math-read-superscripts "]+")
555 (replace-regexp-in-string (concat "[" math-read-subscripts "]+")
557 (let ((rep-list math-read-replacement-list))
560 (replace-regexp-in-string (nth 0 (car rep-list))
561 (nth 1 (car rep-list)) str))
562 (setq rep-list (cdr rep-list))))
565 ;; The next few variables are local to math-read-exprs (and math-read-expr
566 ;; in calc-ext.el), but are set in functions they call.
568 (defvar math-exp-pos)
569 (defvar math-exp-str)
570 (defvar math-exp-old-pos)
571 (defvar math-exp-token)
572 (defvar math-exp-keep-spaces)
573 (defvar math-expr-data)
575 (defun math-read-exprs (math-exp-str)
576 (let ((math-exp-pos 0)
578 (math-exp-keep-spaces nil)
579 math-exp-token math-expr-data)
580 (setq math-exp-str (math-read-preprocess-string math-exp-str))
581 (if calc-language-input-filter
582 (setq math-exp-str (funcall calc-language-input-filter math-exp-str)))
583 (while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
584 (setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots"
585 (substring math-exp-str (+ math-exp-token 2)))))
586 (math-build-parse-table)
588 (let ((val (catch 'syntax (math-read-expr-list))))
590 (list 'error math-exp-old-pos val)
591 (if (equal math-exp-token 'end)
593 (list 'error math-exp-old-pos "Syntax error"))))))
595 (defun math-read-expr-list ()
596 (let* ((math-exp-keep-spaces nil)
597 (val (list (math-read-expr-level 0)))
599 (while (equal math-expr-data ",")
601 (let ((rest (list (math-read-expr-level 0))))
606 (defvar calc-user-parse-table nil)
607 (defvar calc-last-main-parse-table nil)
608 (defvar calc-last-lang-parse-table nil)
609 (defvar calc-user-tokens nil)
610 (defvar calc-user-token-chars nil)
612 (defvar math-toks nil
613 "Tokens to pass between math-build-parse-table and math-find-user-tokens.")
615 (defun math-build-parse-table ()
616 (let ((mtab (cdr (assq nil calc-user-parse-tables)))
617 (ltab (cdr (assq calc-language calc-user-parse-tables))))
618 (or (and (eq mtab calc-last-main-parse-table)
619 (eq ltab calc-last-lang-parse-table))
620 (let ((p (append mtab ltab))
622 (setq calc-user-parse-table p)
623 (setq calc-user-token-chars nil)
625 (math-find-user-tokens (car (car p)))
627 (setq calc-user-tokens (mapconcat 'identity
628 (sort (mapcar 'car math-toks)
629 (function (lambda (x y)
633 calc-last-main-parse-table mtab
634 calc-last-lang-parse-table ltab)))))
636 (defun math-find-user-tokens (p)
638 (cond ((and (stringp (car p))
639 (or (> (length (car p)) 1) (equal (car p) "$")
640 (equal (car p) "\""))
641 (string-match "[^a-zA-Z0-9]" (car p)))
642 (let ((s (regexp-quote (car p))))
643 (if (string-match "\\`[a-zA-Z0-9]" s)
644 (setq s (concat "\\<" s)))
645 (if (string-match "[a-zA-Z0-9]\\'" s)
646 (setq s (concat s "\\>")))
647 (or (assoc s math-toks)
649 (setq math-toks (cons (list s) math-toks))
650 (or (memq (aref (car p) 0) calc-user-token-chars)
651 (setq calc-user-token-chars
652 (cons (aref (car p) 0)
653 calc-user-token-chars)))))))
655 (math-find-user-tokens (nth 1 (car p)))
656 (or (eq (car (car p)) '\?)
657 (math-find-user-tokens (nth 2 (car p))))))
660 (defun math-read-token ()
661 (if (>= math-exp-pos (length math-exp-str))
662 (setq math-exp-old-pos math-exp-pos
664 math-expr-data "\000")
665 (let ((ch (aref math-exp-str math-exp-pos)))
666 (setq math-exp-old-pos math-exp-pos)
667 (cond ((memq ch '(32 10 9))
668 (setq math-exp-pos (1+ math-exp-pos))
669 (if math-exp-keep-spaces
670 (setq math-exp-token 'space
673 ((and (memq ch calc-user-token-chars)
674 (let ((case-fold-search nil))
675 (eq (string-match calc-user-tokens math-exp-str math-exp-pos)
677 (setq math-exp-token 'punc
678 math-expr-data (math-match-substring math-exp-str 0)
679 math-exp-pos (match-end 0)))
680 ((or (and (>= ch ?a) (<= ch ?z))
681 (and (>= ch ?A) (<= ch ?Z)))
682 (string-match (if (memq calc-language '(c fortran pascal maple))
685 math-exp-str math-exp-pos)
686 (setq math-exp-token 'symbol
687 math-exp-pos (match-end 0)
688 math-expr-data (math-restore-dashes
689 (math-match-substring math-exp-str 0)))
690 (if (eq calc-language 'eqn)
691 (let ((code (assoc math-expr-data math-eqn-ignore-words)))
695 ((consp (nth 1 code))
697 (if (assoc math-expr-data (cdr code))
698 (setq math-expr-data (format "%s %s"
699 (car code) math-expr-data))))
700 ((eq (nth 1 code) 'punc)
701 (setq math-exp-token 'punc
702 math-expr-data (nth 2 code)))
705 (math-read-token))))))
706 ((or (and (>= ch ?0) (<= ch ?9))
708 (eq (string-match "\\.[0-9]" math-exp-str math-exp-pos)
711 (eq (string-match "_\\.?[0-9]" math-exp-str math-exp-pos)
713 (or (eq math-exp-pos 0)
714 (and (memq calc-language '(nil flat big unform
716 (eq (string-match "[^])}\"a-zA-Z0-9'$]_"
717 math-exp-str (1- math-exp-pos))
718 (1- math-exp-pos))))))
719 (or (and (eq calc-language 'c)
720 (string-match "0[xX][0-9a-fA-F]+" math-exp-str math-exp-pos))
721 (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]+\\)?\"?\\)?"
722 math-exp-str math-exp-pos))
723 (setq math-exp-token 'number
724 math-expr-data (math-match-substring math-exp-str 0)
725 math-exp-pos (match-end 0)))
727 (if (and (eq calc-language 'pascal)
729 "\\(\\$[0-9a-fA-F]+\\)\\($\\|[^0-9a-zA-Z]\\)"
730 math-exp-str math-exp-pos)
732 (setq math-exp-token 'number
733 math-expr-data (math-match-substring math-exp-str 1)
734 math-exp-pos (match-end 1))
735 (if (eq (string-match "\\$\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
737 (setq math-expr-data (- (string-to-int (math-match-substring
739 (string-match "\\$+" math-exp-str math-exp-pos)
740 (setq math-expr-data (- (match-end 0) (match-beginning 0))))
741 (setq math-exp-token 'dollar
742 math-exp-pos (match-end 0))))
744 (if (eq (string-match "#\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
746 (setq math-expr-data (string-to-int
747 (math-match-substring math-exp-str 1))
748 math-exp-pos (match-end 0))
749 (setq math-expr-data 1
750 math-exp-pos (1+ math-exp-pos)))
751 (setq math-exp-token 'hash))
752 ((eq (string-match "~=\\|<=\\|>=\\|<>\\|/=\\|\\+/-\\|\\\\dots\\|\\\\ldots\\|\\*\\*\\|<<\\|>>\\|==\\|!=\\|&&&\\||||\\|!!!\\|&&\\|||\\|!!\\|:=\\|::\\|=>"
753 math-exp-str math-exp-pos)
755 (setq math-exp-token 'punc
756 math-expr-data (math-match-substring math-exp-str 0)
757 math-exp-pos (match-end 0)))
759 (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)"
760 math-exp-str math-exp-pos))
761 (if (eq calc-language 'eqn)
763 (setq math-exp-str (copy-sequence math-exp-str))
764 (aset math-exp-str (match-beginning 1) ?\{)
765 (if (< (match-end 1) (length math-exp-str))
766 (aset math-exp-str (match-end 1) ?\}))
768 (setq math-exp-token 'string
769 math-expr-data (math-match-substring math-exp-str 1)
770 math-exp-pos (match-end 0))))
771 ((and (= ch ?\\) (eq calc-language 'tex)
772 (< math-exp-pos (1- (length math-exp-str))))
773 (or (string-match "\\\\hbox *{\\([a-zA-Z0-9]+\\)}"
774 math-exp-str math-exp-pos)
775 (string-match "\\(\\\\\\([a-zA-Z]+\\|[^a-zA-Z]\\)\\)"
776 math-exp-str math-exp-pos))
777 (setq math-exp-token 'symbol
778 math-exp-pos (match-end 0)
779 math-expr-data (math-restore-dashes
780 (math-match-substring math-exp-str 1)))
781 (let ((code (assoc math-expr-data math-latex-ignore-words)))
785 ((eq (nth 1 code) 'punc)
786 (setq math-exp-token 'punc
787 math-expr-data (nth 2 code)))
788 ((and (eq (nth 1 code) 'mat)
789 (string-match " *{" math-exp-str math-exp-pos))
790 (setq math-exp-pos (match-end 0)
793 (let ((right (string-match "}" math-exp-str math-exp-pos)))
795 (setq math-exp-str (copy-sequence math-exp-str))
796 (aset math-exp-str right ?\])))))))
797 ((and (= ch ?\\) (eq calc-language 'latex)
798 (< math-exp-pos (1- (length math-exp-str))))
799 (or (string-match "\\\\hbox *{\\([a-zA-Z0-9]+\\)}"
800 math-exp-str math-exp-pos)
801 (string-match "\\\\text *{\\([a-zA-Z0-9]+\\)}"
802 math-exp-str math-exp-pos)
803 (string-match "\\(\\\\\\([a-zA-Z]+\\|[^a-zA-Z]\\)\\)"
804 math-exp-str math-exp-pos))
805 (setq math-exp-token 'symbol
806 math-exp-pos (match-end 0)
807 math-expr-data (math-restore-dashes
808 (math-match-substring math-exp-str 1)))
809 (let ((code (assoc math-expr-data math-tex-ignore-words))
814 ((eq (nth 1 code) 'punc)
815 (setq math-exp-token 'punc
816 math-expr-data (nth 2 code)))
817 ((and (eq (nth 1 code) 'begenv)
818 (string-match " *{\\([^}]*\\)}" math-exp-str math-exp-pos))
819 (setq math-exp-pos (match-end 0)
820 envname (match-string 1 math-exp-str)
823 (cond ((or (string= envname "matrix")
824 (string= envname "bmatrix")
825 (string= envname "smallmatrix")
826 (string= envname "pmatrix"))
827 (if (string-match (concat "\\\\end{" envname "}")
828 math-exp-str math-exp-pos)
830 (replace-match "]" t t math-exp-str))
831 (error "%s" (concat "No closing \\end{" envname "}"))))))
832 ((and (eq (nth 1 code) 'mat)
833 (string-match " *{" math-exp-str math-exp-pos))
834 (setq math-exp-pos (match-end 0)
837 (let ((right (string-match "}" math-exp-str math-exp-pos)))
839 (setq math-exp-str (copy-sequence math-exp-str))
840 (aset math-exp-str right ?\])))))))
841 ((and (= ch ?\.) (eq calc-language 'fortran)
842 (eq (string-match "\\.[a-zA-Z][a-zA-Z][a-zA-Z]?\\."
843 math-exp-str math-exp-pos) math-exp-pos))
844 (setq math-exp-token 'punc
845 math-expr-data (upcase (math-match-substring math-exp-str 0))
846 math-exp-pos (match-end 0)))
847 ((and (eq calc-language 'math)
848 (eq (string-match "\\[\\[\\|->\\|:>" math-exp-str math-exp-pos)
850 (setq math-exp-token 'punc
851 math-expr-data (math-match-substring math-exp-str 0)
852 math-exp-pos (match-end 0)))
853 ((and (eq calc-language 'eqn)
854 (eq (string-match "->\\|<-\\|+-\\|\\\\dots\\|~\\|\\^"
855 math-exp-str math-exp-pos)
857 (setq math-exp-token 'punc
858 math-expr-data (math-match-substring math-exp-str 0)
859 math-exp-pos (match-end 0))
860 (and (eq (string-match "\\\\dots\\." math-exp-str math-exp-pos)
862 (setq math-exp-pos (match-end 0)))
863 (if (memq (aref math-expr-data 0) '(?~ ?^))
865 ((eq (string-match "%%.*$" math-exp-str math-exp-pos) math-exp-pos)
866 (setq math-exp-pos (match-end 0))
869 (if (and (eq ch ?\{) (memq calc-language '(tex latex eqn)))
871 (if (and (eq ch ?\}) (memq calc-language '(tex latex eqn)))
873 (if (and (eq ch ?\&) (memq calc-language '(tex latex)))
875 (setq math-exp-token 'punc
876 math-expr-data (char-to-string ch)
877 math-exp-pos (1+ math-exp-pos)))))))
879 (defconst math-alg-inequalities
880 '(calcFunc-lt calcFunc-gt calcFunc-leq calcFunc-geq
881 calcFunc-eq calcFunc-neq))
883 (defun math-read-expr-level (exp-prec &optional exp-term)
884 (let* ((x (math-read-factor)) (first t) op op2)
885 (while (and (or (and calc-user-parse-table
886 (setq op (calc-check-user-syntax x exp-prec))
888 op '("2x" ident 999999 -1)))
889 (and (setq op (assoc math-expr-data math-expr-opers))
891 (or (and (setq op2 (assoc
893 (cdr (memq op math-expr-opers))))
894 (eq (= (nth 3 op) -1)
896 (eq (= (nth 3 op2) -1)
897 (not (math-factor-after)))
900 (and (or (eq (nth 2 op) -1)
901 (memq math-exp-token '(symbol number dollar hash))
902 (equal math-expr-data "(")
903 (and (equal math-expr-data "[")
904 (not (eq calc-language 'math))
905 (not (and math-exp-keep-spaces
906 (eq (car-safe x) 'vec)))))
907 (or (not (setq op (assoc math-expr-data math-expr-opers)))
909 (or (not calc-user-parse-table)
910 (not (eq math-exp-token 'symbol))
911 (let ((p calc-user-parse-table))
914 (car (car (car p)))))
916 (nth 1 (car (car p)))
920 (setq op (assoc "2x" math-expr-opers))))
921 (not (and exp-term (equal math-expr-data exp-term)))
922 (>= (nth 2 op) exp-prec))
923 (if (not (equal (car op) "2x"))
925 (and (memq (nth 1 op) '(sdev mod))
927 (setq x (cond ((consp (nth 1 op))
928 (funcall (car (nth 1 op)) x op))
930 (if (eq (nth 1 op) 'ident)
932 (if (eq (nth 1 op) 'closing)
933 (if (eq (nth 2 op) exp-prec)
937 (throw 'syntax "Mismatched delimiters"))
938 (list (nth 1 op) x))))
940 (memq (nth 1 op) math-alg-inequalities)
941 (memq (car-safe x) math-alg-inequalities))
943 (math-composite-inequalities x op))
946 (math-read-expr-level (nth 3 op) exp-term))))
950 (defun calc-check-user-syntax (&optional x prec)
951 (let ((p calc-user-parse-table)
956 (setq rule (car (car p)))
958 (and (integerp (car rule))
960 (equal math-expr-data
961 (car (setq rule (cdr rule)))))
962 (equal math-expr-data (car rule)))))
963 (let ((save-exp-pos math-exp-pos)
964 (save-exp-old-pos math-exp-old-pos)
965 (save-exp-token math-exp-token)
966 (save-exp-data math-expr-data))
968 (setq matches (calc-match-user-syntax rule))))
975 (setq matches (cons x matches)))
976 (setq match (cdr (car p)))
977 (while (and (eq (car-safe match)
979 (= (length match) 3))
980 (setq conds (append (math-flatten-lands
983 match (nth 1 match)))
984 (while (and conds match)
986 (cond ((eq (car-safe (car conds))
988 (setq temp (car conds))
989 (or (= (length temp) 3)
990 (and (= (length temp) 2)
991 (eq (car-safe (nth 1 temp))
993 (= (length (nth 1 temp)) 3)
994 (setq temp (nth 1 temp)))
1002 args (cons (nth 1 temp)
1004 ((and (eq (car-safe (car conds))
1006 (= (length (car conds)) 3))
1007 (setq temp (calcFunc-vmatches
1011 (nth 2 (car conds))))
1014 (while (setq temp (cdr temp))
1015 (setq matches (cons (nth 2 (car temp))
1017 args (cons (nth 1 (car temp))
1020 (or (math-is-true (math-simplify
1025 (setq conds (cdr conds)))
1027 (not (setq match (math-multi-subst
1028 match args matches)))
1029 (setq math-exp-old-pos save-exp-old-pos
1030 math-exp-token save-exp-token
1031 math-expr-data save-exp-data
1032 math-exp-pos save-exp-pos)))))))
1036 (defun calc-match-user-syntax (p &optional term)
1038 (save-exp-pos math-exp-pos)
1039 (save-exp-old-pos math-exp-old-pos)
1040 (save-exp-token math-exp-token)
1041 (save-exp-data math-expr-data)
1044 (cond ((stringp (car p))
1045 (and (equal math-expr-data (car p))
1050 (and (setq m (catch 'syntax
1051 (math-read-expr-level
1054 (if (consp (nth 1 p))
1055 (car (nth 1 (nth 1 p)))
1059 (setq matches (nconc matches (list m)))))
1060 ((eq (car (car p)) '\?)
1061 (setq m (calc-match-user-syntax (nth 1 (car p))))
1066 (cons 'vec (and (listp m) m))))))
1067 (or (listp m) (not (nth 2 (car p)))
1068 (not (eq (aref (car (nth 2 (car p))) 0) ?\$))
1069 (eq math-exp-token 'end)))
1071 (setq m (calc-match-user-syntax (nth 1 (car p))
1072 (car (nth 2 (car p)))))
1074 (let ((vec (cons 'vec m))
1077 (setq opos math-exp-pos
1078 mm (calc-match-user-syntax
1081 (car (nth 2 (car p))))))
1082 (> math-exp-pos opos))
1083 (setq vec (nconc vec mm)))
1084 (setq matches (nconc matches (list vec))))
1085 (and (eq (car (car p)) '*)
1086 (setq matches (nconc matches (list '(vec)))))))))
1089 (setq math-exp-pos save-exp-pos
1090 math-exp-old-pos save-exp-old-pos
1091 math-exp-token save-exp-token
1092 math-expr-data save-exp-data
1096 (defun math-remove-dashes (x)
1097 (if (string-match "\\`\\(.*\\)-\\(.*\\)\\'" x)
1099 (concat (math-match-substring x 1) "#" (math-match-substring x 2)))
1102 (defun math-restore-dashes (x)
1103 (if (string-match "\\`\\(.*\\)[#_]\\(.*\\)\\'" x)
1104 (math-restore-dashes
1105 (concat (math-match-substring x 1) "-" (math-match-substring x 2)))
1108 (defun math-read-if (cond op)
1109 (let ((then (math-read-expr-level 0)))
1110 (or (equal math-expr-data ":")
1111 (throw 'syntax "Expected ':'"))
1113 (list 'calcFunc-if cond then (math-read-expr-level (nth 3 op)))))
1115 (defun math-factor-after ()
1116 (let ((math-exp-pos math-exp-pos)
1117 math-exp-old-pos math-exp-token math-expr-data)
1119 (or (memq math-exp-token '(number symbol dollar hash string))
1120 (and (assoc math-expr-data '(("-") ("+") ("!") ("|") ("/")))
1121 (assoc (concat "u" math-expr-data) math-expr-opers))
1122 (eq (nth 2 (assoc math-expr-data math-expr-opers)) -1)
1123 (assoc math-expr-data '(("(") ("[") ("{"))))))
1125 (defun math-read-factor ()
1127 (cond ((eq math-exp-token 'number)
1128 (let ((num (math-read-number math-expr-data)))
1131 (setq math-exp-old-pos math-exp-pos)
1132 (throw 'syntax "Bad format")))
1134 (if (and math-read-expr-quotes
1138 ((and calc-user-parse-table
1139 (setq op (calc-check-user-syntax)))
1141 ((or (equal math-expr-data "-")
1142 (equal math-expr-data "+")
1143 (equal math-expr-data "!")
1144 (equal math-expr-data "|")
1145 (equal math-expr-data "/"))
1146 (setq math-expr-data (concat "u" math-expr-data))
1148 ((and (setq op (assoc math-expr-data math-expr-opers))
1150 (if (consp (nth 1 op))
1151 (funcall (car (nth 1 op)) op)
1153 (let ((val (math-read-expr-level (nth 3 op))))
1154 (cond ((eq (nth 1 op) 'ident)
1156 ((and (Math-numberp val)
1157 (equal (car op) "u-"))
1159 (t (list (nth 1 op) val))))))
1160 ((eq math-exp-token 'symbol)
1161 (let ((sym (intern math-expr-data)))
1163 (if (equal math-expr-data calc-function-open)
1164 (let ((f (assq sym math-expr-function-mapping)))
1167 (funcall (car (cdr f)) f sym)
1168 (let ((args (if (or (equal math-expr-data calc-function-close)
1169 (eq math-exp-token 'end))
1171 (math-read-expr-list))))
1172 (if (not (or (equal math-expr-data calc-function-close)
1173 (eq math-exp-token 'end)))
1174 (throw 'syntax "Expected `)'"))
1176 (if (and (eq calc-language 'fortran) args
1178 (let ((calc-matrix-mode 'scalar))
1183 (symbol-name sym)))))))
1184 (math-parse-fortran-subscr sym args)
1187 (and (= (aref (symbol-name sym) 0) ?\\)
1188 (< (prefix-numeric-value calc-language-option)
1190 (setq sym (intern (substring (symbol-name sym)
1192 (or (string-match "-" (symbol-name sym))
1195 (symbol-name sym))))))
1197 (if math-read-expr-quotes
1199 (let ((val (list 'var
1200 (intern (math-remove-dashes
1202 (if (string-match "-" (symbol-name sym))
1204 (intern (concat "var-"
1205 (symbol-name sym)))))))
1206 (let ((v (assq (nth 1 val) math-expr-variable-mapping)))
1207 (and v (setq val (if (consp (cdr v))
1208 (funcall (car (cdr v)) v val)
1211 (substring (symbol-name (cdr v))
1214 (while (and (memq calc-language '(c pascal maple))
1215 (equal math-expr-data "["))
1217 (setq val (append (list 'calcFunc-subscr val)
1218 (math-read-expr-list)))
1219 (if (equal math-expr-data "]")
1221 (throw 'syntax "Expected ']'")))
1223 ((eq math-exp-token 'dollar)
1224 (let ((abs (if (> math-expr-data 0) math-expr-data (- math-expr-data))))
1225 (if (>= (length calc-dollar-values) abs)
1226 (let ((num math-expr-data))
1228 (setq calc-dollar-used (max calc-dollar-used num))
1229 (math-check-complete (nth (1- abs) calc-dollar-values)))
1230 (throw 'syntax (if calc-dollar-values
1232 "$'s not allowed in this context")))))
1233 ((eq math-exp-token 'hash)
1234 (or calc-hashes-used
1235 (throw 'syntax "#'s not allowed in this context"))
1237 (if (<= math-expr-data (length calc-arg-values))
1238 (let ((num math-expr-data))
1240 (setq calc-hashes-used (max calc-hashes-used num))
1241 (nth (1- num) calc-arg-values))
1242 (throw 'syntax "Too many # arguments")))
1243 ((equal math-expr-data "(")
1244 (let* ((exp (let ((math-exp-keep-spaces nil))
1246 (if (or (equal math-expr-data "\\dots")
1247 (equal math-expr-data "\\ldots"))
1248 '(neg (var inf var-inf))
1249 (math-read-expr-level 0)))))
1250 (let ((math-exp-keep-spaces nil))
1252 ((equal math-expr-data ",")
1255 (let ((exp2 (math-read-expr-level 0)))
1257 (if (and exp2 (Math-realp exp) (Math-realp exp2))
1258 (math-normalize (list 'cplx exp exp2))
1259 (list '+ exp (list '* exp2 '(var i var-i))))))))
1260 ((equal math-expr-data ";")
1263 (let ((exp2 (math-read-expr-level 0)))
1264 (setq exp (if (and exp2 (Math-realp exp)
1266 (math-normalize (list 'polar exp exp2))
1271 (math-to-radians-2 exp2)
1272 '(var i var-i)))))))))
1273 ((or (equal math-expr-data "\\dots")
1274 (equal math-expr-data "\\ldots"))
1277 (let ((exp2 (if (or (equal math-expr-data ")")
1278 (equal math-expr-data "]")
1279 (eq math-exp-token 'end))
1281 (math-read-expr-level 0))))
1284 (if (equal math-expr-data ")") 0 1)
1287 (if (not (or (equal math-expr-data ")")
1288 (and (equal math-expr-data "]") (eq (car-safe exp) 'intv))
1289 (eq math-exp-token 'end)))
1290 (throw 'syntax "Expected `)'"))
1293 ((eq math-exp-token 'string)
1296 ((equal math-expr-data "[")
1298 (math-read-brackets t "]"))
1299 ((equal math-expr-data "{")
1301 (math-read-brackets nil "}"))
1302 ((equal math-expr-data "<")
1304 (math-read-angle-brackets))
1305 (t (throw 'syntax "Expected a number")))))
1307 (provide 'calc-aent)
1309 ;;; arch-tag: 5599e45d-e51e-44bb-9a20-9f4ed8c96c32
1310 ;;; calc-aent.el ends here