1 ;;; calc-aent.el --- algebraic entry functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
4 ;; 2005, 2006, 2007, 2008, 2009, 2010, 2011 Free Software Foundation, Inc.
6 ;; Author: Dave Gillespie <daveg@synaptics.com>
7 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
9 ;; This file is part of GNU Emacs.
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.
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.
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/>.
28 ;; This file is autoloaded from calc.el.
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))
52 (defvar calc-quick-calc-history nil
53 "The history list for quick-calc.")
56 (defun calc-do-quick-calc ()
59 (if (eq major-mode 'calc-mode)
60 (calc-algebraic-entry t)
64 (let* ((calc-command-flags nil)
65 (calc-dollar-values calc-quick-prev-results)
67 (enable-recursive-minibuffers t)
68 (calc-language (if (memq calc-language '(nil big))
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)))
85 (if (and (= (length alg-exp) 1)
86 (memq (car-safe (car alg-exp)) '(nil bigpos bigneg))
88 (= calc-number-radix 10))
89 (setq buf (concat buf " ("
90 (let ((calc-number-radix 16))
91 (math-format-value (car alg-exp) 1000))
93 (let ((calc-number-radix 8))
94 (math-format-value (car alg-exp) 1000))
96 (let ((calc-number-radix 2))
97 (math-format-value (car alg-exp) 1000))
98 (if (and (integerp (car alg-exp))
100 (< (car alg-exp) 127))
101 (format ", \"%c\"" (car alg-exp))
104 (if (and (< (length buf) (frame-width)) (= (length entry) 1)
105 (featurep 'calc-ext))
106 (let ((long (concat (math-format-value (car entry) 1000)
108 (if (<= (length long) (- (frame-width) 8))
111 (message "Result: %s" buf)))
112 (if (eq last-command-event 10)
114 (kill-new shortbuf)))))
117 (defun calc-do-calc-eval (str separator args)
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)
128 (calc-symbolic-mode nil)
129 (calc-matrix-mode nil)
130 (calc-angle-mode 'deg)
131 (calc-number-radix 10)
132 (calc-twos-complement-mode nil)
133 (calc-leading-zeros nil)
134 (calc-group-digits nil)
135 (calc-point-char ".")
136 (calc-frac-format '(":" nil))
137 (calc-prefer-frac nil)
138 (calc-hms-format "%s@ %s' %s\"")
139 (calc-date-format '((H ":" mm C SS pp " ")
140 Www " " Mmm " " D ", " YYYY))
141 (calc-float-format '(float 0))
142 (calc-full-float-format '(float 0))
143 (calc-complex-format nil)
144 (calc-matrix-just nil)
145 (calc-full-vectors t)
146 (calc-break-vectors nil)
147 (calc-vector-commas ",")
148 (calc-vector-brackets "[]")
149 (calc-matrix-brackets '(R O))
150 (calc-complex-mode 'cplx)
151 (calc-infinite-mode nil)
152 (calc-display-strings nil)
153 (calc-simplify-mode nil)
154 (calc-display-working-message 'lots)
157 (set (car strp) (nth 1 strp))
158 (setq strp (cdr (cdr strp))))
159 (calc-do-calc-eval (car str) separator args)))
160 ((eq separator 'eval)
162 ((eq separator 'macro)
164 (let* ((calc-buffer (current-buffer))
165 (calc-window (get-buffer-window calc-buffer))
166 (save-window (selected-window)))
170 (select-window calc-window)
171 (calc-execute-kbd-macro str nil (car args)))
172 (and (window-point save-window)
173 (select-window save-window)))
174 (save-window-excursion
175 (select-window (get-largest-window))
176 (switch-to-buffer calc-buffer)
177 (calc-execute-kbd-macro str nil (car args)))))
180 (or (not (integerp str))
182 (calc-pop (min str (calc-stack-size))))
187 (<= str (calc-stack-size))
188 (math-format-value (calc-top-n str (car args)) 1000)))
189 ((eq separator 'rawtop)
192 (<= str (calc-stack-size))
193 (calc-top-n str (car args))))
195 (let* ((calc-command-flags nil)
197 (calc-language (if (memq calc-language '(nil big))
198 'flat calc-language))
199 (calc-dollar-values (mapcar
204 (setq x (math-read-exprs x))
214 (res (if (stringp str)
215 (math-read-exprs str)
218 (if (eq (car res) 'error)
219 (calc-eval-error (cdr res))
220 (setq res (mapcar 'calc-normalize res))
221 (and (memq 'clear-message calc-command-flags)
223 (cond ((eq separator 'pred)
225 (if (= (length res) 1)
226 (math-is-true (car res))
227 (calc-eval-error '(0 "Single value expected"))))
229 (if (= (length res) 1)
231 (calc-eval-error '(0 "Single value expected"))))
232 ((eq separator 'list)
234 ((memq separator '(num rawnum))
235 (if (= (length res) 1)
236 (if (math-constp (car res))
237 (if (eq separator 'num)
238 (math-format-value (car res) 1000)
243 (calc-explain-why (car calc-next-why))
244 "Number expected"))))
245 (calc-eval-error '(0 "Single value expected"))))
246 ((eq separator 'push)
250 (setq buf (concat buf
251 (and buf (or separator ", "))
252 (math-format-value (car res) 1000))
256 (defvar calc-eval-error nil
257 "Determines how calc handles errors.
258 If nil, return a list containing the character position of error.
259 STRING means return error message as string rather than list.
260 The value t means abort and give an error message.")
262 (defun calc-eval-error (msg)
264 (if (eq calc-eval-error 'string)
266 (error "%s" (nth 1 msg)))
270 ;;;; Reading an expression in algebraic form.
273 (defun calc-auto-algebraic-entry (&optional prefix)
275 (calc-algebraic-entry prefix t))
278 (defun calc-algebraic-entry (&optional prefix auto)
281 (let ((calc-language (if prefix nil calc-language))
282 (math-expr-opers (if prefix (math-standard-ops) (math-expr-ops))))
283 (calc-alg-entry (and auto (char-to-string last-command-event))))))
285 (defvar calc-alg-entry-history nil
286 "History for algebraic entry.")
289 (defun calc-alg-entry (&optional initial prompt)
290 (let* ((sel-mode nil)
291 (calc-dollar-values (mapcar 'calc-get-stack-element
292 (nthcdr calc-stack-top calc-stack)))
295 (alg-exp (calc-do-alg-entry initial prompt t 'calc-alg-entry-history)))
296 (if (stringp alg-exp)
299 (calc-alg-edit alg-exp))
300 (let* ((calc-simplify-mode (if (eq last-command-event ?\C-j)
303 (nvals (mapcar 'calc-normalize alg-exp)))
305 (calc-record (if (featurep 'calc-ext) (car alg-exp) (car nvals))
307 (calc-pop-push-record-list calc-dollar-used
308 (and (not (equal (car alg-exp)
313 (setq alg-exp (cdr alg-exp)
315 calc-dollar-used 0)))
316 (calc-handle-whys))))
318 (defvar calc-alg-ent-map nil
319 "The keymap used for algebraic entry.")
321 (defvar calc-alg-ent-esc-map nil
322 "The keymap used for escapes in algebraic entry.")
324 (defvar calc-alg-exp)
327 (defun calc-do-alg-entry (&optional initial prompt no-normalize history)
328 (let* ((calc-buffer (current-buffer))
329 (blink-paren-function 'calcAlg-blink-matching-open)
330 (calc-alg-exp 'error))
331 (unless calc-alg-ent-map
332 (setq calc-alg-ent-map (copy-keymap minibuffer-local-map))
333 (define-key calc-alg-ent-map "'" 'calcAlg-previous)
334 (define-key calc-alg-ent-map "`" 'calcAlg-edit)
335 (define-key calc-alg-ent-map "\C-m" 'calcAlg-enter)
336 (define-key calc-alg-ent-map "\C-j" 'calcAlg-enter)
338 (setq calc-alg-ent-esc-map (copy-keymap esc-map))
340 (aset (nth 1 calc-alg-ent-esc-map) i 'calcAlg-escape)
342 (define-key calc-alg-ent-map "\e" nil)
343 (if (eq calc-algebraic-mode 'total)
344 (define-key calc-alg-ent-map "\e" calc-alg-ent-esc-map)
345 (define-key calc-alg-ent-map "\e+" 'calcAlg-plus-minus)
346 (define-key calc-alg-ent-map "\em" 'calcAlg-mod)
347 (define-key calc-alg-ent-map "\e=" 'calcAlg-equals)
348 (define-key calc-alg-ent-map "\e\r" 'calcAlg-equals)
349 (define-key calc-alg-ent-map "\ep" 'previous-history-element)
350 (define-key calc-alg-ent-map "\en" 'next-history-element)
351 (define-key calc-alg-ent-map "\e%" 'self-insert-command))
352 (setq calc-aborted-prefix nil)
353 (let ((buf (read-from-minibuffer (or prompt "Algebraic: ")
355 calc-alg-ent-map nil history)))
356 (when (eq calc-alg-exp 'error)
357 (when (eq (car-safe (setq calc-alg-exp (math-read-exprs buf))) 'error)
358 (setq calc-alg-exp nil)))
359 (setq calc-aborted-prefix "alg'")
361 (and calc-alg-exp (setq calc-alg-exp (mapcar 'calc-normalize calc-alg-exp))))
364 (defun calcAlg-plus-minus ()
366 (if (calc-minibuffer-contains ".* \\'")
370 (defun calcAlg-mod ()
372 (if (not (calc-minibuffer-contains ".* \\'"))
374 (if (calc-minibuffer-contains ".* mod +\\'")
375 (if calc-previous-modulo
376 (insert (math-format-flat-expr calc-previous-modulo 0))
380 (defun calcAlg-previous ()
382 (if (calc-minibuffer-contains "\\'")
383 (previous-history-element 1)
386 (defun calcAlg-equals ()
390 (if (consp calc-alg-exp)
391 (progn (setq prefix-arg (length calc-alg-exp))
392 (calc-unread-command ?=)))))
394 (defun calcAlg-escape ()
396 (calc-unread-command)
399 (use-local-map calc-mode-map))
402 (defvar calc-plain-entry nil)
403 (defun calcAlg-edit ()
405 (if (or (not calc-plain-entry)
406 (calc-minibuffer-contains
407 "\\`\\([^\"]*\"[^\"]*\"\\)*[^\"]*\"[^\"]*\\'"))
409 (setq calc-alg-exp (minibuffer-contents))
414 (defun calcAlg-enter ()
416 (let* ((str (minibuffer-contents))
417 (exp (and (> (length str) 0)
418 (with-current-buffer calc-buffer
419 (math-read-exprs str)))))
420 (if (eq (car-safe exp) 'error)
422 (goto-char (minibuffer-prompt-end))
423 (forward-char (nth 1 exp))
425 (calc-temp-minibuffer-message
426 (concat " [" (or (nth 2 exp) "Error") "]"))
427 (calc-clear-unread-commands))
428 (setq calc-alg-exp (if (calc-minibuffer-contains "\\` *\\[ *\\'")
433 (defun calcAlg-blink-matching-open ()
434 (let ((rightpt (point))
436 (rightchar (preceding-char))
442 (setq leftpt (scan-sexps rightpt -1)
443 leftchar (char-after leftpt))
446 (or (and (= rightchar ?\))
448 (and (= rightchar ?\])
452 (looking-at ".+\\(\\.\\.\\|\\\\dots\\|\\\\ldots\\)")))
453 (let ((leftsaved (aref (syntax-table) leftchar))
454 (rightsaved (aref (syntax-table) rightchar)))
457 (cond ((= leftchar ?\[)
458 (aset (syntax-table) leftchar (cons 4 ?\)))
459 (aset (syntax-table) rightchar (cons 5 ?\[)))
461 (aset (syntax-table) leftchar (cons 4 ?\]))
462 (aset (syntax-table) rightchar (cons 5 ?\())))
463 (blink-matching-open))
464 (aset (syntax-table) leftchar leftsaved)
465 (aset (syntax-table) rightchar rightsaved)))
466 (blink-matching-open))))
469 (defun calc-alg-digit-entry ()
471 (cond ((eq last-command-event ?e)
472 (if (> calc-number-radix 14) (format "%d.^" calc-number-radix) "1e"))
473 ((eq last-command-event ?#) (format "%d#" calc-number-radix))
474 ((eq last-command-event ?_) "-")
475 ((eq last-command-event ?@) "0@ ")
476 (t (char-to-string last-command-event)))))
478 ;; The variable calc-digit-value is initially declared in calc.el,
479 ;; but can be set by calcDigit-algebraic and calcDigit-edit.
480 (defvar calc-digit-value)
483 (defun calcDigit-algebraic ()
485 (if (calc-minibuffer-contains ".*[@oh] *[^'m ]+[^'m]*\\'")
487 (setq calc-digit-value (minibuffer-contents))
491 (defun calcDigit-edit ()
493 (calc-unread-command)
494 (setq calc-digit-value (minibuffer-contents))
498 ;;; Algebraic expression parsing. [Public]
500 (defvar math-read-replacement-list
502 ("±" "+/-") ; plus or minus
503 ("×" "*") ; multiplication sign
504 ("÷" ":") ; division sign
505 ("−" "-") ; subtraction sign
506 ("∕" "/") ; division sign
507 ("∗" "*") ; asterisk multiplication
508 ("∞" "inf") ; infinity symbol
562 "A list whose elements (old new) indicate replacements to make
563 in Calc algebraic input.")
565 (defvar math-read-superscripts
566 "⁰¹²³⁴⁵⁶⁷⁸⁹⁺⁻⁽⁾ⁿⁱ" ; 0123456789+-()ni
567 "A string consisting of the superscripts allowed by Calc.")
569 (defvar math-read-subscripts
570 "₀₁₂₃₄₅₆₇₈₉₊₋₍₎" ; 0123456789+-()
571 "A string consisting of the subscripts allowed by Calc.")
574 (defun math-read-preprocess-string (str)
575 "Replace some substrings of STR by Calc equivalents."
577 (replace-regexp-in-string (concat "[" math-read-superscripts "]+")
580 (replace-regexp-in-string (concat "[" math-read-subscripts "]+")
582 (let ((rep-list math-read-replacement-list))
585 (replace-regexp-in-string (nth 0 (car rep-list))
586 (nth 1 (car rep-list)) str))
587 (setq rep-list (cdr rep-list))))
590 ;; The next few variables are local to math-read-exprs (and math-read-expr
591 ;; in calc-ext.el), but are set in functions they call.
593 (defvar math-exp-pos)
594 (defvar math-exp-str)
595 (defvar math-exp-old-pos)
596 (defvar math-exp-token)
597 (defvar math-exp-keep-spaces)
598 (defvar math-expr-data)
601 (defun math-read-exprs (math-exp-str)
602 (let ((math-exp-pos 0)
604 (math-exp-keep-spaces nil)
605 math-exp-token math-expr-data)
606 (setq math-exp-str (math-read-preprocess-string math-exp-str))
607 (if (memq calc-language calc-lang-allow-percentsigns)
608 (setq math-exp-str (math-remove-percentsigns math-exp-str)))
609 (if calc-language-input-filter
610 (setq math-exp-str (funcall calc-language-input-filter math-exp-str)))
611 (while (setq math-exp-token
612 (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
614 (concat (substring math-exp-str 0 math-exp-token) "\\dots"
615 (substring math-exp-str (+ math-exp-token 2)))))
616 (math-build-parse-table)
618 (let ((val (catch 'syntax (math-read-expr-list))))
620 (list 'error math-exp-old-pos val)
621 (if (equal math-exp-token 'end)
623 (list 'error math-exp-old-pos "Syntax error"))))))
626 (defun math-read-expr-list ()
627 (let* ((math-exp-keep-spaces nil)
628 (val (list (math-read-expr-level 0)))
630 (while (equal math-expr-data ",")
632 (let ((rest (list (math-read-expr-level 0))))
637 (defvar calc-user-parse-table nil)
638 (defvar calc-last-main-parse-table nil)
639 (defvar calc-last-user-lang-parse-table nil)
640 (defvar calc-last-lang-parse-table nil)
641 (defvar calc-user-tokens nil)
642 (defvar calc-user-token-chars nil)
644 (defvar math-toks nil
645 "Tokens to pass between math-build-parse-table and math-find-user-tokens.")
648 (defun math-build-parse-table ()
649 (let ((mtab (cdr (assq nil calc-user-parse-tables)))
650 (ltab (cdr (assq calc-language calc-user-parse-tables)))
651 (lltab (get calc-language 'math-parse-table)))
652 (or (and (eq mtab calc-last-main-parse-table)
653 (eq ltab calc-last-user-lang-parse-table)
654 (eq lltab calc-last-lang-parse-table))
655 (let ((p (append mtab ltab lltab))
657 (setq calc-user-parse-table p)
658 (setq calc-user-token-chars nil)
660 (math-find-user-tokens (car (car p)))
662 (setq calc-user-tokens (mapconcat 'identity
663 (sort (mapcar 'car math-toks)
664 (function (lambda (x y)
668 calc-last-main-parse-table mtab
669 calc-last-user-lang-parse-table ltab
670 calc-last-lang-parse-table lltab)))))
673 (defun math-find-user-tokens (p)
675 (cond ((and (stringp (car p))
676 (or (> (length (car p)) 1) (equal (car p) "$")
677 (equal (car p) "\""))
678 (string-match "[^a-zA-Z0-9]" (car p)))
679 (let ((s (regexp-quote (car p))))
680 (if (string-match "\\`[a-zA-Z0-9]" s)
681 (setq s (concat "\\<" s)))
682 (if (string-match "[a-zA-Z0-9]\\'" s)
683 (setq s (concat s "\\>")))
684 (or (assoc s math-toks)
686 (setq math-toks (cons (list s) math-toks))
687 (or (memq (aref (car p) 0) calc-user-token-chars)
688 (setq calc-user-token-chars
689 (cons (aref (car p) 0)
690 calc-user-token-chars)))))))
692 (math-find-user-tokens (nth 1 (car p)))
693 (or (eq (car (car p)) '\?)
694 (math-find-user-tokens (nth 2 (car p))))))
698 (defun math-read-token ()
699 (if (>= math-exp-pos (length math-exp-str))
700 (setq math-exp-old-pos math-exp-pos
702 math-expr-data "\000")
704 (ch (aref math-exp-str math-exp-pos)))
705 (setq math-exp-old-pos math-exp-pos)
706 (cond ((memq ch '(32 10 9))
707 (setq math-exp-pos (1+ math-exp-pos))
708 (if math-exp-keep-spaces
709 (setq math-exp-token 'space
712 ((and (memq ch calc-user-token-chars)
713 (let ((case-fold-search nil))
715 calc-user-tokens math-exp-str math-exp-pos)
717 (setq math-exp-token 'punc
718 math-expr-data (math-match-substring math-exp-str 0)
719 math-exp-pos (match-end 0)))
720 ((or (and (>= ch ?a) (<= ch ?z))
721 (and (>= ch ?A) (<= ch ?Z)))
724 ((and (memq calc-language calc-lang-allow-underscores)
725 (memq calc-language calc-lang-allow-percentsigns))
727 ((memq calc-language calc-lang-allow-underscores)
729 (t "[a-zA-Z0-9'#]*"))
730 math-exp-str math-exp-pos)
731 (setq math-exp-token 'symbol
732 math-exp-pos (match-end 0)
733 math-expr-data (math-restore-dashes
734 (math-match-substring math-exp-str 0)))
735 (if (setq adfn (get calc-language 'math-lang-adjust-words))
737 ((or (and (>= ch ?0) (<= ch ?9))
739 (eq (string-match "\\.[0-9]" math-exp-str math-exp-pos)
742 (eq (string-match "_\\.?[0-9]" math-exp-str math-exp-pos)
744 (or (eq math-exp-pos 0)
745 (and (not (memq calc-language
746 calc-lang-allow-underscores))
747 (eq (string-match "[^])}\"a-zA-Z0-9'$]_"
748 math-exp-str (1- math-exp-pos))
749 (1- math-exp-pos))))))
750 (or (and (memq calc-language calc-lang-c-type-hex)
751 (string-match "0[xX][0-9a-fA-F]+" math-exp-str math-exp-pos))
752 (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]+\\)?\"?\\)?"
753 math-exp-str math-exp-pos))
754 (setq math-exp-token 'number
755 math-expr-data (math-match-substring math-exp-str 0)
756 math-exp-pos (match-end 0)))
758 (assq ch (get calc-language 'math-lang-read-symbol)))
762 (if (eq (string-match "\\$\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
764 (setq math-expr-data (- (string-to-number (math-match-substring
766 (string-match "\\$+" math-exp-str math-exp-pos)
767 (setq math-expr-data (- (match-end 0) (match-beginning 0))))
768 (setq math-exp-token 'dollar
769 math-exp-pos (match-end 0)))
771 (if (eq (string-match "#\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
773 (setq math-expr-data (string-to-number
774 (math-match-substring math-exp-str 1))
775 math-exp-pos (match-end 0))
776 (setq math-expr-data 1
777 math-exp-pos (1+ math-exp-pos)))
778 (setq math-exp-token 'hash))
779 ((eq (string-match "~=\\|<=\\|>=\\|<>\\|/=\\|\\+/-\\|\\\\dots\\|\\\\ldots\\|\\*\\*\\|<<\\|>>\\|==\\|!=\\|&&&\\||||\\|!!!\\|&&\\|||\\|!!\\|:=\\|::\\|=>"
780 math-exp-str math-exp-pos)
782 (setq math-exp-token 'punc
783 math-expr-data (math-match-substring math-exp-str 0)
784 math-exp-pos (match-end 0)))
786 (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)"
787 math-exp-str math-exp-pos))
788 (setq math-exp-token 'string
789 math-expr-data (math-match-substring math-exp-str 1)
790 math-exp-pos (match-end 0)))
791 ((and (setq adfn (get calc-language 'math-lang-read))
793 (eval (nth 1 adfn))))
794 ((eq (string-match "%%.*$" math-exp-str math-exp-pos) math-exp-pos)
795 (setq math-exp-pos (match-end 0))
798 (if (setq adfn (assq ch (get calc-language 'math-punc-table)))
799 (setq ch (cdr adfn)))
800 (setq math-exp-token 'punc
801 math-expr-data (char-to-string ch)
802 math-exp-pos (1+ math-exp-pos)))))))
804 (defconst math-alg-inequalities
805 '(calcFunc-lt calcFunc-gt calcFunc-leq calcFunc-geq
806 calcFunc-eq calcFunc-neq))
808 (defun math-read-expr-level (exp-prec &optional exp-term)
809 (let* ((math-expr-opers (math-expr-ops))
810 (x (math-read-factor))
813 (while (and (or (and calc-user-parse-table
814 (setq op (calc-check-user-syntax x exp-prec))
816 op '("2x" ident 999999 -1)))
817 (and (setq op (assoc math-expr-data math-expr-opers))
819 (or (and (setq op2 (assoc
821 (cdr (memq op math-expr-opers))))
822 (eq (= (nth 3 op) -1)
824 (eq (= (nth 3 op2) -1)
825 (not (math-factor-after)))
828 (and (or (eq (nth 2 op) -1)
829 (memq math-exp-token '(symbol number dollar hash))
830 (equal math-expr-data "(")
831 (and (equal math-expr-data "[")
834 'math-function-open) "["))
835 (not (and math-exp-keep-spaces
836 (eq (car-safe x) 'vec)))))
837 (or (not (setq op (assoc math-expr-data math-expr-opers)))
839 (or (not calc-user-parse-table)
840 (not (eq math-exp-token 'symbol))
841 (let ((p calc-user-parse-table))
844 (car (car (car p)))))
846 (nth 1 (car (car p)))
850 (setq op (assoc "2x" math-expr-opers))))
851 (not (and exp-term (equal math-expr-data exp-term)))
852 (>= (nth 2 op) exp-prec))
853 (if (not (equal (car op) "2x"))
855 (and (memq (nth 1 op) '(sdev mod))
857 (setq x (cond ((consp (nth 1 op))
858 (funcall (car (nth 1 op)) x op))
860 (if (eq (nth 1 op) 'ident)
862 (if (eq (nth 1 op) 'closing)
863 (if (eq (nth 2 op) exp-prec)
867 (throw 'syntax "Mismatched delimiters"))
868 (list (nth 1 op) x))))
870 (memq (nth 1 op) math-alg-inequalities)
871 (memq (car-safe x) math-alg-inequalities))
873 (math-composite-inequalities x op))
876 (math-read-expr-level (nth 3 op) exp-term))))
880 ;; calc-arg-values is defined in calc-ext.el, but is used here.
881 (defvar calc-arg-values)
884 (defun calc-check-user-syntax (&optional x prec)
885 (let ((p calc-user-parse-table)
890 (setq rule (car (car p)))
892 (and (integerp (car rule))
894 (equal math-expr-data
895 (car (setq rule (cdr rule)))))
896 (equal math-expr-data (car rule)))))
897 (let ((save-exp-pos math-exp-pos)
898 (save-exp-old-pos math-exp-old-pos)
899 (save-exp-token math-exp-token)
900 (save-exp-data math-expr-data))
902 (setq matches (calc-match-user-syntax rule))))
909 (setq matches (cons x matches)))
910 (setq match (cdr (car p)))
911 (while (and (eq (car-safe match)
913 (= (length match) 3))
914 (setq conds (append (math-flatten-lands
917 match (nth 1 match)))
918 (while (and conds match)
920 (cond ((eq (car-safe (car conds))
922 (setq temp (car conds))
923 (or (= (length temp) 3)
924 (and (= (length temp) 2)
925 (eq (car-safe (nth 1 temp))
927 (= (length (nth 1 temp)) 3)
928 (setq temp (nth 1 temp)))
936 args (cons (nth 1 temp)
938 ((and (eq (car-safe (car conds))
940 (= (length (car conds)) 3))
941 (setq temp (calcFunc-vmatches
945 (nth 2 (car conds))))
948 (while (setq temp (cdr temp))
949 (setq matches (cons (nth 2 (car temp))
951 args (cons (nth 1 (car temp))
954 (or (math-is-true (math-simplify
959 (setq conds (cdr conds)))
961 (not (setq match (math-multi-subst
962 match args matches)))
963 (setq math-exp-old-pos save-exp-old-pos
964 math-exp-token save-exp-token
965 math-expr-data save-exp-data
966 math-exp-pos save-exp-pos)))))))
971 (defun calc-match-user-syntax (p &optional term)
973 (save-exp-pos math-exp-pos)
974 (save-exp-old-pos math-exp-old-pos)
975 (save-exp-token math-exp-token)
976 (save-exp-data math-expr-data)
979 (cond ((stringp (car p))
980 (and (equal math-expr-data (car p))
985 (and (setq m (catch 'syntax
986 (math-read-expr-level
989 (if (consp (nth 1 p))
990 (car (nth 1 (nth 1 p)))
994 (setq matches (nconc matches (list m)))))
995 ((eq (car (car p)) '\?)
996 (setq m (calc-match-user-syntax (nth 1 (car p))))
1001 (cons 'vec (and (listp m) m))))))
1002 (or (listp m) (not (nth 2 (car p)))
1003 (not (eq (aref (car (nth 2 (car p))) 0) ?\$))
1004 (eq math-exp-token 'end)))
1006 (setq m (calc-match-user-syntax (nth 1 (car p))
1007 (car (nth 2 (car p)))))
1009 (let ((vec (cons 'vec m))
1012 (setq opos math-exp-pos
1013 mm (calc-match-user-syntax
1016 (car (nth 2 (car p))))))
1017 (> math-exp-pos opos))
1018 (setq vec (nconc vec mm)))
1019 (setq matches (nconc matches (list vec))))
1020 (and (eq (car (car p)) '*)
1021 (setq matches (nconc matches (list '(vec)))))))))
1024 (setq math-exp-pos save-exp-pos
1025 math-exp-old-pos save-exp-old-pos
1026 math-exp-token save-exp-token
1027 math-expr-data save-exp-data
1032 (defun math-remove-dashes (x)
1033 (if (string-match "\\`\\(.*\\)-\\(.*\\)\\'" x)
1035 (concat (math-match-substring x 1) "#" (math-match-substring x 2)))
1038 (defun math-remove-percentsigns (x)
1039 (if (string-match "\\`\\(.*\\)%\\(.*\\)\\'" x)
1040 (math-remove-percentsigns
1041 (concat (math-match-substring x 1) "o'o" (math-match-substring x 2)))
1044 (defun math-restore-dashes (x)
1045 (if (string-match "\\`\\(.*\\)[#_]\\(.*\\)\\'" x)
1046 (math-restore-dashes
1047 (concat (math-match-substring x 1) "-" (math-match-substring x 2)))
1050 (defun math-restore-placeholders (x)
1051 "Replace placeholders by the proper characters in the symbol x.
1052 This includes `#' for `_' and `'' for `%'.
1053 If the current Calc language does not use placeholders, return nil."
1054 (if (or (memq calc-language calc-lang-allow-underscores)
1055 (memq calc-language calc-lang-allow-percentsigns))
1056 (let ((sx (symbol-name x)))
1057 (when (memq calc-language calc-lang-allow-percentsigns)
1059 (setq sx (math-to-percentsigns sx)))
1060 (if (memq calc-language calc-lang-allow-underscores)
1061 (setq sx (math-string-restore-underscores sx)))
1064 (defun math-string-restore-underscores (x)
1065 "Replace pound signs by underscores in the string x."
1066 (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x)
1067 (math-string-restore-underscores
1068 (concat (math-match-substring x 1) "_" (math-match-substring x 2)))
1072 (defun math-read-if (cond op)
1073 (let ((then (math-read-expr-level 0)))
1074 (or (equal math-expr-data ":")
1075 (throw 'syntax "Expected ':'"))
1077 (list 'calcFunc-if cond then (math-read-expr-level (nth 3 op)))))
1079 (defun math-factor-after ()
1080 (let ((math-exp-pos math-exp-pos)
1081 math-exp-old-pos math-exp-token math-expr-data)
1083 (or (memq math-exp-token '(number symbol dollar hash string))
1084 (and (assoc math-expr-data '(("-") ("+") ("!") ("|") ("/")))
1085 (assoc (concat "u" math-expr-data) math-expr-opers))
1086 (eq (nth 2 (assoc math-expr-data math-expr-opers)) -1)
1087 (assoc math-expr-data '(("(") ("[") ("{"))))))
1089 (defun math-read-factor ()
1090 (let ((math-expr-opers (math-expr-ops))
1092 (cond ((eq math-exp-token 'number)
1093 (let ((num (math-read-number math-expr-data)))
1096 (setq math-exp-old-pos math-exp-pos)
1097 (throw 'syntax "Bad format")))
1099 (if (and math-read-expr-quotes
1103 ((and calc-user-parse-table
1104 (setq op (calc-check-user-syntax)))
1106 ((or (equal math-expr-data "-")
1107 (equal math-expr-data "+")
1108 (equal math-expr-data "!")
1109 (equal math-expr-data "|")
1110 (equal math-expr-data "/"))
1111 (setq math-expr-data (concat "u" math-expr-data))
1113 ((and (setq op (assoc math-expr-data math-expr-opers))
1115 (if (consp (nth 1 op))
1116 (funcall (car (nth 1 op)) op)
1118 (let ((val (math-read-expr-level (nth 3 op))))
1119 (cond ((eq (nth 1 op) 'ident)
1121 ((and (Math-numberp val)
1122 (equal (car op) "u-"))
1124 (t (list (nth 1 op) val))))))
1125 ((eq math-exp-token 'symbol)
1126 (let ((sym (intern math-expr-data)))
1128 (if (equal math-expr-data calc-function-open)
1129 (let ((f (assq sym math-expr-function-mapping)))
1132 (funcall (car (cdr f)) f sym)
1133 (let ((args (if (or (equal math-expr-data calc-function-close)
1134 (eq math-exp-token 'end))
1136 (math-read-expr-list))))
1137 (if (not (or (equal math-expr-data calc-function-close)
1138 (eq math-exp-token 'end)))
1139 (throw 'syntax "Expected `)'"))
1141 (if (and (memq calc-language
1142 calc-lang-parens-are-subscripts)
1145 (let ((calc-matrix-mode 'scalar))
1150 (symbol-name sym)))))))
1151 (math-parse-fortran-subscr sym args)
1154 (and (= (aref (symbol-name sym) 0) ?\\)
1155 (< (prefix-numeric-value calc-language-option)
1157 (setq sym (intern (substring (symbol-name sym)
1159 (or (string-match "-" (symbol-name sym))
1162 (symbol-name sym))))))
1164 (if math-read-expr-quotes
1166 (let ((val (list 'var
1167 (intern (math-remove-dashes
1169 (if (string-match "-" (symbol-name sym))
1171 (intern (concat "var-"
1172 (symbol-name sym)))))))
1174 (assq (nth 1 val) math-expr-variable-mapping)
1175 (assq (math-restore-placeholders (nth 1 val))
1176 math-expr-variable-mapping))))
1177 (and v (setq val (if (consp (cdr v))
1178 (funcall (car (cdr v)) v val)
1181 (substring (symbol-name (cdr v))
1184 (while (and (memq calc-language
1185 calc-lang-brackets-are-subscripts)
1186 (equal math-expr-data "["))
1188 (let ((el (math-read-expr-list)))
1190 (setq val (append (list 'calcFunc-subscr val)
1192 (setq el (cdr el))))
1193 (if (equal math-expr-data "]")
1195 (throw 'syntax "Expected ']'")))
1197 ((eq math-exp-token 'dollar)
1198 (let ((abs (if (> math-expr-data 0) math-expr-data (- math-expr-data))))
1199 (if (>= (length calc-dollar-values) abs)
1200 (let ((num math-expr-data))
1202 (setq calc-dollar-used (max calc-dollar-used num))
1203 (math-check-complete (nth (1- abs) calc-dollar-values)))
1204 (throw 'syntax (if calc-dollar-values
1206 "$'s not allowed in this context")))))
1207 ((eq math-exp-token 'hash)
1208 (or calc-hashes-used
1209 (throw 'syntax "#'s not allowed in this context"))
1211 (if (<= math-expr-data (length calc-arg-values))
1212 (let ((num math-expr-data))
1214 (setq calc-hashes-used (max calc-hashes-used num))
1215 (nth (1- num) calc-arg-values))
1216 (throw 'syntax "Too many # arguments")))
1217 ((equal math-expr-data "(")
1218 (let* ((exp (let ((math-exp-keep-spaces nil))
1220 (if (or (equal math-expr-data "\\dots")
1221 (equal math-expr-data "\\ldots"))
1222 '(neg (var inf var-inf))
1223 (math-read-expr-level 0)))))
1224 (let ((math-exp-keep-spaces nil))
1226 ((equal math-expr-data ",")
1229 (let ((exp2 (math-read-expr-level 0)))
1231 (if (and exp2 (Math-realp exp) (Math-realp exp2))
1232 (math-normalize (list 'cplx exp exp2))
1233 (list '+ exp (list '* exp2 '(var i var-i))))))))
1234 ((equal math-expr-data ";")
1237 (let ((exp2 (math-read-expr-level 0)))
1238 (setq exp (if (and exp2 (Math-realp exp)
1240 (math-normalize (list 'polar exp exp2))
1245 (math-to-radians-2 exp2)
1246 '(var i var-i)))))))))
1247 ((or (equal math-expr-data "\\dots")
1248 (equal math-expr-data "\\ldots"))
1251 (let ((exp2 (if (or (equal math-expr-data ")")
1252 (equal math-expr-data "]")
1253 (eq math-exp-token 'end))
1255 (math-read-expr-level 0))))
1258 (if (equal math-expr-data ")") 0 1)
1261 (if (not (or (equal math-expr-data ")")
1262 (and (equal math-expr-data "]") (eq (car-safe exp) 'intv))
1263 (eq math-exp-token 'end)))
1264 (throw 'syntax "Expected `)'"))
1267 ((eq math-exp-token 'string)
1270 ((equal math-expr-data "[")
1272 (math-read-brackets t "]"))
1273 ((equal math-expr-data "{")
1275 (math-read-brackets nil "}"))
1276 ((equal math-expr-data "<")
1278 (math-read-angle-brackets))
1279 (t (throw 'syntax "Expected a number")))))
1281 (provide 'calc-aent)
1284 ;; generated-autoload-file: "calc-loaddefs.el"
1287 ;; arch-tag: 5599e45d-e51e-44bb-9a20-9f4ed8c96c32
1288 ;;; calc-aent.el ends here