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 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
563 "A list whose elements (old new) indicate replacements to make
564 in Calc algebraic input.")
566 (defvar math-read-superscripts
567 "⁰¹²³⁴⁵⁶⁷⁸⁹⁺⁻⁽⁾ⁿⁱ" ; 0123456789+-()ni
568 "A string consisting of the superscripts allowed by Calc.")
570 (defvar math-read-subscripts
571 "₀₁₂₃₄₅₆₇₈₉₊₋₍₎" ; 0123456789+-()
572 "A string consisting of the subscripts allowed by Calc.")
575 (defun math-read-preprocess-string (str)
576 "Replace some substrings of STR by Calc equivalents."
578 (replace-regexp-in-string (concat "[" math-read-superscripts "]+")
581 (replace-regexp-in-string (concat "[" math-read-subscripts "]+")
583 (let ((rep-list math-read-replacement-list))
586 (replace-regexp-in-string (nth 0 (car rep-list))
587 (nth 1 (car rep-list)) str))
588 (setq rep-list (cdr rep-list))))
591 ;; The next few variables are local to math-read-exprs (and math-read-expr
592 ;; in calc-ext.el), but are set in functions they call.
594 (defvar math-exp-pos)
595 (defvar math-exp-str)
596 (defvar math-exp-old-pos)
597 (defvar math-exp-token)
598 (defvar math-exp-keep-spaces)
599 (defvar math-expr-data)
602 (defun math-read-exprs (math-exp-str)
603 (let ((math-exp-pos 0)
605 (math-exp-keep-spaces nil)
606 math-exp-token math-expr-data)
607 (setq math-exp-str (math-read-preprocess-string math-exp-str))
608 (if (memq calc-language calc-lang-allow-percentsigns)
609 (setq math-exp-str (math-remove-percentsigns math-exp-str)))
610 (if calc-language-input-filter
611 (setq math-exp-str (funcall calc-language-input-filter math-exp-str)))
612 (while (setq math-exp-token
613 (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
615 (concat (substring math-exp-str 0 math-exp-token) "\\dots"
616 (substring math-exp-str (+ math-exp-token 2)))))
617 (math-build-parse-table)
619 (let ((val (catch 'syntax (math-read-expr-list))))
621 (list 'error math-exp-old-pos val)
622 (if (equal math-exp-token 'end)
624 (list 'error math-exp-old-pos "Syntax error"))))))
627 (defun math-read-expr-list ()
628 (let* ((math-exp-keep-spaces nil)
629 (val (list (math-read-expr-level 0)))
631 (while (equal math-expr-data ",")
633 (let ((rest (list (math-read-expr-level 0))))
638 (defvar calc-user-parse-table nil)
639 (defvar calc-last-main-parse-table nil)
640 (defvar calc-last-user-lang-parse-table nil)
641 (defvar calc-last-lang-parse-table nil)
642 (defvar calc-user-tokens nil)
643 (defvar calc-user-token-chars nil)
645 (defvar math-toks nil
646 "Tokens to pass between math-build-parse-table and math-find-user-tokens.")
649 (defun math-build-parse-table ()
650 (let ((mtab (cdr (assq nil calc-user-parse-tables)))
651 (ltab (cdr (assq calc-language calc-user-parse-tables)))
652 (lltab (get calc-language 'math-parse-table)))
653 (or (and (eq mtab calc-last-main-parse-table)
654 (eq ltab calc-last-user-lang-parse-table)
655 (eq lltab calc-last-lang-parse-table))
656 (let ((p (append mtab ltab lltab))
658 (setq calc-user-parse-table p)
659 (setq calc-user-token-chars nil)
661 (math-find-user-tokens (car (car p)))
663 (setq calc-user-tokens (mapconcat 'identity
664 (sort (mapcar 'car math-toks)
665 (function (lambda (x y)
669 calc-last-main-parse-table mtab
670 calc-last-user-lang-parse-table ltab
671 calc-last-lang-parse-table lltab)))))
674 (defun math-find-user-tokens (p)
676 (cond ((and (stringp (car p))
677 (or (> (length (car p)) 1) (equal (car p) "$")
678 (equal (car p) "\""))
679 (string-match "[^a-zA-Zα-ωΑ-Ω0-9]" (car p)))
680 (let ((s (regexp-quote (car p))))
681 (if (string-match "\\`[a-zA-Zα-ωΑ-Ω0-9]" s)
682 (setq s (concat "\\<" s)))
683 (if (string-match "[a-zA-Zα-ωΑ-Ω0-9]\\'" s)
684 (setq s (concat s "\\>")))
685 (or (assoc s math-toks)
687 (setq math-toks (cons (list s) math-toks))
688 (or (memq (aref (car p) 0) calc-user-token-chars)
689 (setq calc-user-token-chars
690 (cons (aref (car p) 0)
691 calc-user-token-chars)))))))
693 (math-find-user-tokens (nth 1 (car p)))
694 (or (eq (car (car p)) '\?)
695 (math-find-user-tokens (nth 2 (car p))))))
699 (defun math-read-token ()
700 (if (>= math-exp-pos (length math-exp-str))
701 (setq math-exp-old-pos math-exp-pos
703 math-expr-data "\000")
705 (ch (aref math-exp-str math-exp-pos)))
706 (setq math-exp-old-pos math-exp-pos)
707 (cond ((memq ch '(32 10 9))
708 (setq math-exp-pos (1+ math-exp-pos))
709 (if math-exp-keep-spaces
710 (setq math-exp-token 'space
713 ((and (memq ch calc-user-token-chars)
714 (let ((case-fold-search nil))
716 calc-user-tokens math-exp-str math-exp-pos)
718 (setq math-exp-token 'punc
719 math-expr-data (math-match-substring math-exp-str 0)
720 math-exp-pos (match-end 0)))
721 ((or (and (>= ch ?a) (<= ch ?z))
722 (and (>= ch ?A) (<= ch ?Z))
723 (and (>= ch ?α) (<= ch ?ω))
724 (and (>= ch ?Α) (<= ch ?Ω)))
727 ((and (memq calc-language calc-lang-allow-underscores)
728 (memq calc-language calc-lang-allow-percentsigns))
729 "[a-zA-Zα-ωΑ-Ω0-9_'#]*")
730 ((memq calc-language calc-lang-allow-underscores)
731 "[a-zA-Zα-ωΑ-Ω0-9_#]*")
732 (t "[a-zA-Zα-ωΑ-Ω0-9'#]*"))
733 math-exp-str math-exp-pos)
734 (setq math-exp-token 'symbol
735 math-exp-pos (match-end 0)
736 math-expr-data (math-restore-dashes
737 (math-match-substring math-exp-str 0)))
738 (if (setq adfn (get calc-language 'math-lang-adjust-words))
740 ((or (and (>= ch ?0) (<= ch ?9))
742 (eq (string-match "\\.[0-9]" math-exp-str math-exp-pos)
745 (eq (string-match "_\\.?[0-9]" math-exp-str math-exp-pos)
747 (or (eq math-exp-pos 0)
748 (and (not (memq calc-language
749 calc-lang-allow-underscores))
750 (eq (string-match "[^])}\"a-zA-Zα-ωΑ-Ω0-9'$]_"
751 math-exp-str (1- math-exp-pos))
752 (1- math-exp-pos))))))
753 (or (and (memq calc-language calc-lang-c-type-hex)
754 (string-match "0[xX][0-9a-fA-F]+" math-exp-str math-exp-pos))
755 (string-match "_?\\([0-9]+.?0*@ *\\)?\\([0-9]+.?0*' *\\)?\\(0*\\([2-9]\\|1[0-4]\\)\\(#[#]?\\|\\^\\^\\)[0-9a-dA-D.]+[eE][-+_]?[0-9]+\\|0*\\([2-9]\\|[0-2][0-9]\\|3[0-6]\\)\\(#[#]?\\|\\^\\^\\)[0-9a-zA-Zα-ωΑ-Ω:.]+\\|[0-9]+:[0-9:]+\\|[0-9.]+\\([eE][-+_]?[0-9]+\\)?\"?\\)?"
756 math-exp-str math-exp-pos))
757 (setq math-exp-token 'number
758 math-expr-data (math-match-substring math-exp-str 0)
759 math-exp-pos (match-end 0)))
761 (assq ch (get calc-language 'math-lang-read-symbol)))
765 (if (eq (string-match "\\$\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
767 (setq math-expr-data (- (string-to-number (math-match-substring
769 (string-match "\\$+" math-exp-str math-exp-pos)
770 (setq math-expr-data (- (match-end 0) (match-beginning 0))))
771 (setq math-exp-token 'dollar
772 math-exp-pos (match-end 0)))
774 (if (eq (string-match "#\\([1-9][0-9]*\\)" math-exp-str math-exp-pos)
776 (setq math-expr-data (string-to-number
777 (math-match-substring math-exp-str 1))
778 math-exp-pos (match-end 0))
779 (setq math-expr-data 1
780 math-exp-pos (1+ math-exp-pos)))
781 (setq math-exp-token 'hash))
782 ((eq (string-match "~=\\|<=\\|>=\\|<>\\|/=\\|\\+/-\\|\\\\dots\\|\\\\ldots\\|\\*\\*\\|<<\\|>>\\|==\\|!=\\|&&&\\||||\\|!!!\\|&&\\|||\\|!!\\|:=\\|::\\|=>"
783 math-exp-str math-exp-pos)
785 (setq math-exp-token 'punc
786 math-expr-data (math-match-substring math-exp-str 0)
787 math-exp-pos (match-end 0)))
789 (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)"
790 math-exp-str math-exp-pos))
791 (setq math-exp-token 'string
792 math-expr-data (math-match-substring math-exp-str 1)
793 math-exp-pos (match-end 0)))
794 ((and (setq adfn (get calc-language 'math-lang-read))
796 (eval (nth 1 adfn))))
797 ((eq (string-match "%%.*$" math-exp-str math-exp-pos) math-exp-pos)
798 (setq math-exp-pos (match-end 0))
801 (if (setq adfn (assq ch (get calc-language 'math-punc-table)))
802 (setq ch (cdr adfn)))
803 (setq math-exp-token 'punc
804 math-expr-data (char-to-string ch)
805 math-exp-pos (1+ math-exp-pos)))))))
807 (defconst math-alg-inequalities
808 '(calcFunc-lt calcFunc-gt calcFunc-leq calcFunc-geq
809 calcFunc-eq calcFunc-neq))
811 (defun math-read-expr-level (exp-prec &optional exp-term)
812 (let* ((math-expr-opers (math-expr-ops))
813 (x (math-read-factor))
816 (while (and (or (and calc-user-parse-table
817 (setq op (calc-check-user-syntax x exp-prec))
819 op '("2x" ident 999999 -1)))
820 (and (setq op (assoc math-expr-data math-expr-opers))
822 (or (and (setq op2 (assoc
824 (cdr (memq op math-expr-opers))))
825 (eq (= (nth 3 op) -1)
827 (eq (= (nth 3 op2) -1)
828 (not (math-factor-after)))
831 (and (or (eq (nth 2 op) -1)
832 (memq math-exp-token '(symbol number dollar hash))
833 (equal math-expr-data "(")
834 (and (equal math-expr-data "[")
837 'math-function-open) "["))
838 (not (and math-exp-keep-spaces
839 (eq (car-safe x) 'vec)))))
840 (or (not (setq op (assoc math-expr-data math-expr-opers)))
842 (or (not calc-user-parse-table)
843 (not (eq math-exp-token 'symbol))
844 (let ((p calc-user-parse-table))
847 (car (car (car p)))))
849 (nth 1 (car (car p)))
853 (setq op (assoc "2x" math-expr-opers))))
854 (not (and exp-term (equal math-expr-data exp-term)))
855 (>= (nth 2 op) exp-prec))
856 (if (not (equal (car op) "2x"))
858 (and (memq (nth 1 op) '(sdev mod))
860 (setq x (cond ((consp (nth 1 op))
861 (funcall (car (nth 1 op)) x op))
863 (if (eq (nth 1 op) 'ident)
865 (if (eq (nth 1 op) 'closing)
866 (if (eq (nth 2 op) exp-prec)
870 (throw 'syntax "Mismatched delimiters"))
871 (list (nth 1 op) x))))
873 (memq (nth 1 op) math-alg-inequalities)
874 (memq (car-safe x) math-alg-inequalities))
876 (math-composite-inequalities x op))
879 (math-read-expr-level (nth 3 op) exp-term))))
883 ;; calc-arg-values is defined in calc-ext.el, but is used here.
884 (defvar calc-arg-values)
887 (defun calc-check-user-syntax (&optional x prec)
888 (let ((p calc-user-parse-table)
893 (setq rule (car (car p)))
895 (and (integerp (car rule))
897 (equal math-expr-data
898 (car (setq rule (cdr rule)))))
899 (equal math-expr-data (car rule)))))
900 (let ((save-exp-pos math-exp-pos)
901 (save-exp-old-pos math-exp-old-pos)
902 (save-exp-token math-exp-token)
903 (save-exp-data math-expr-data))
905 (setq matches (calc-match-user-syntax rule))))
912 (setq matches (cons x matches)))
913 (setq match (cdr (car p)))
914 (while (and (eq (car-safe match)
916 (= (length match) 3))
917 (setq conds (append (math-flatten-lands
920 match (nth 1 match)))
921 (while (and conds match)
923 (cond ((eq (car-safe (car conds))
925 (setq temp (car conds))
926 (or (= (length temp) 3)
927 (and (= (length temp) 2)
928 (eq (car-safe (nth 1 temp))
930 (= (length (nth 1 temp)) 3)
931 (setq temp (nth 1 temp)))
939 args (cons (nth 1 temp)
941 ((and (eq (car-safe (car conds))
943 (= (length (car conds)) 3))
944 (setq temp (calcFunc-vmatches
948 (nth 2 (car conds))))
951 (while (setq temp (cdr temp))
952 (setq matches (cons (nth 2 (car temp))
954 args (cons (nth 1 (car temp))
957 (or (math-is-true (math-simplify
962 (setq conds (cdr conds)))
964 (not (setq match (math-multi-subst
965 match args matches)))
966 (setq math-exp-old-pos save-exp-old-pos
967 math-exp-token save-exp-token
968 math-expr-data save-exp-data
969 math-exp-pos save-exp-pos)))))))
974 (defun calc-match-user-syntax (p &optional term)
976 (save-exp-pos math-exp-pos)
977 (save-exp-old-pos math-exp-old-pos)
978 (save-exp-token math-exp-token)
979 (save-exp-data math-expr-data)
982 (cond ((stringp (car p))
983 (and (equal math-expr-data (car p))
988 (and (setq m (catch 'syntax
989 (math-read-expr-level
992 (if (consp (nth 1 p))
993 (car (nth 1 (nth 1 p)))
997 (setq matches (nconc matches (list m)))))
998 ((eq (car (car p)) '\?)
999 (setq m (calc-match-user-syntax (nth 1 (car p))))
1004 (cons 'vec (and (listp m) m))))))
1005 (or (listp m) (not (nth 2 (car p)))
1006 (not (eq (aref (car (nth 2 (car p))) 0) ?\$))
1007 (eq math-exp-token 'end)))
1009 (setq m (calc-match-user-syntax (nth 1 (car p))
1010 (car (nth 2 (car p)))))
1012 (let ((vec (cons 'vec m))
1015 (setq opos math-exp-pos
1016 mm (calc-match-user-syntax
1019 (car (nth 2 (car p))))))
1020 (> math-exp-pos opos))
1021 (setq vec (nconc vec mm)))
1022 (setq matches (nconc matches (list vec))))
1023 (and (eq (car (car p)) '*)
1024 (setq matches (nconc matches (list '(vec)))))))))
1027 (setq math-exp-pos save-exp-pos
1028 math-exp-old-pos save-exp-old-pos
1029 math-exp-token save-exp-token
1030 math-expr-data save-exp-data
1035 (defun math-remove-dashes (x)
1036 (if (string-match "\\`\\(.*\\)-\\(.*\\)\\'" x)
1038 (concat (math-match-substring x 1) "#" (math-match-substring x 2)))
1041 (defun math-remove-percentsigns (x)
1042 (if (string-match "\\`\\(.*\\)%\\(.*\\)\\'" x)
1043 (math-remove-percentsigns
1044 (concat (math-match-substring x 1) "o'o" (math-match-substring x 2)))
1047 (defun math-restore-dashes (x)
1048 (if (string-match "\\`\\(.*\\)[#_]\\(.*\\)\\'" x)
1049 (math-restore-dashes
1050 (concat (math-match-substring x 1) "-" (math-match-substring x 2)))
1053 (defun math-restore-placeholders (x)
1054 "Replace placeholders by the proper characters in the symbol x.
1055 This includes `#' for `_' and `'' for `%'.
1056 If the current Calc language does not use placeholders, return nil."
1057 (if (or (memq calc-language calc-lang-allow-underscores)
1058 (memq calc-language calc-lang-allow-percentsigns))
1059 (let ((sx (symbol-name x)))
1060 (when (memq calc-language calc-lang-allow-percentsigns)
1062 (setq sx (math-to-percentsigns sx)))
1063 (if (memq calc-language calc-lang-allow-underscores)
1064 (setq sx (math-string-restore-underscores sx)))
1067 (defun math-string-restore-underscores (x)
1068 "Replace pound signs by underscores in the string x."
1069 (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x)
1070 (math-string-restore-underscores
1071 (concat (math-match-substring x 1) "_" (math-match-substring x 2)))
1075 (defun math-read-if (cond op)
1076 (let ((then (math-read-expr-level 0)))
1077 (or (equal math-expr-data ":")
1078 (throw 'syntax "Expected ':'"))
1080 (list 'calcFunc-if cond then (math-read-expr-level (nth 3 op)))))
1082 (defun math-factor-after ()
1083 (let ((math-exp-pos math-exp-pos)
1084 math-exp-old-pos math-exp-token math-expr-data)
1086 (or (memq math-exp-token '(number symbol dollar hash string))
1087 (and (assoc math-expr-data '(("-") ("+") ("!") ("|") ("/")))
1088 (assoc (concat "u" math-expr-data) math-expr-opers))
1089 (eq (nth 2 (assoc math-expr-data math-expr-opers)) -1)
1090 (assoc math-expr-data '(("(") ("[") ("{"))))))
1092 (defun math-read-factor ()
1093 (let ((math-expr-opers (math-expr-ops))
1095 (cond ((eq math-exp-token 'number)
1096 (let ((num (math-read-number math-expr-data)))
1099 (setq math-exp-old-pos math-exp-pos)
1100 (throw 'syntax "Bad format")))
1102 (if (and math-read-expr-quotes
1106 ((and calc-user-parse-table
1107 (setq op (calc-check-user-syntax)))
1109 ((or (equal math-expr-data "-")
1110 (equal math-expr-data "+")
1111 (equal math-expr-data "!")
1112 (equal math-expr-data "|")
1113 (equal math-expr-data "/"))
1114 (setq math-expr-data (concat "u" math-expr-data))
1116 ((and (setq op (assoc math-expr-data math-expr-opers))
1118 (if (consp (nth 1 op))
1119 (funcall (car (nth 1 op)) op)
1121 (let ((val (math-read-expr-level (nth 3 op))))
1122 (cond ((eq (nth 1 op) 'ident)
1124 ((and (Math-numberp val)
1125 (equal (car op) "u-"))
1127 (t (list (nth 1 op) val))))))
1128 ((eq math-exp-token 'symbol)
1129 (let ((sym (intern math-expr-data)))
1131 (if (equal math-expr-data calc-function-open)
1132 (let ((f (assq sym math-expr-function-mapping)))
1135 (funcall (car (cdr f)) f sym)
1136 (let ((args (if (or (equal math-expr-data calc-function-close)
1137 (eq math-exp-token 'end))
1139 (math-read-expr-list))))
1140 (if (not (or (equal math-expr-data calc-function-close)
1141 (eq math-exp-token 'end)))
1142 (throw 'syntax "Expected `)'"))
1144 (if (and (memq calc-language
1145 calc-lang-parens-are-subscripts)
1148 (let ((calc-matrix-mode 'scalar))
1153 (symbol-name sym)))))))
1154 (math-parse-fortran-subscr sym args)
1157 (and (= (aref (symbol-name sym) 0) ?\\)
1158 (< (prefix-numeric-value calc-language-option)
1160 (setq sym (intern (substring (symbol-name sym)
1162 (or (string-match "-" (symbol-name sym))
1165 (symbol-name sym))))))
1167 (if math-read-expr-quotes
1169 (let ((val (list 'var
1170 (intern (math-remove-dashes
1172 (if (string-match "-" (symbol-name sym))
1174 (intern (concat "var-"
1175 (symbol-name sym)))))))
1177 (assq (nth 1 val) math-expr-variable-mapping)
1178 (assq (math-restore-placeholders (nth 1 val))
1179 math-expr-variable-mapping))))
1180 (and v (setq val (if (consp (cdr v))
1181 (funcall (car (cdr v)) v val)
1184 (substring (symbol-name (cdr v))
1187 (while (and (memq calc-language
1188 calc-lang-brackets-are-subscripts)
1189 (equal math-expr-data "["))
1191 (let ((el (math-read-expr-list)))
1193 (setq val (append (list 'calcFunc-subscr val)
1195 (setq el (cdr el))))
1196 (if (equal math-expr-data "]")
1198 (throw 'syntax "Expected ']'")))
1200 ((eq math-exp-token 'dollar)
1201 (let ((abs (if (> math-expr-data 0) math-expr-data (- math-expr-data))))
1202 (if (>= (length calc-dollar-values) abs)
1203 (let ((num math-expr-data))
1205 (setq calc-dollar-used (max calc-dollar-used num))
1206 (math-check-complete (nth (1- abs) calc-dollar-values)))
1207 (throw 'syntax (if calc-dollar-values
1209 "$'s not allowed in this context")))))
1210 ((eq math-exp-token 'hash)
1211 (or calc-hashes-used
1212 (throw 'syntax "#'s not allowed in this context"))
1214 (if (<= math-expr-data (length calc-arg-values))
1215 (let ((num math-expr-data))
1217 (setq calc-hashes-used (max calc-hashes-used num))
1218 (nth (1- num) calc-arg-values))
1219 (throw 'syntax "Too many # arguments")))
1220 ((equal math-expr-data "(")
1221 (let* ((exp (let ((math-exp-keep-spaces nil))
1223 (if (or (equal math-expr-data "\\dots")
1224 (equal math-expr-data "\\ldots"))
1225 '(neg (var inf var-inf))
1226 (math-read-expr-level 0)))))
1227 (let ((math-exp-keep-spaces nil))
1229 ((equal math-expr-data ",")
1232 (let ((exp2 (math-read-expr-level 0)))
1234 (if (and exp2 (Math-realp exp) (Math-realp exp2))
1235 (math-normalize (list 'cplx exp exp2))
1236 (list '+ exp (list '* exp2 '(var i var-i))))))))
1237 ((equal math-expr-data ";")
1240 (let ((exp2 (math-read-expr-level 0)))
1241 (setq exp (if (and exp2 (Math-realp exp)
1243 (math-normalize (list 'polar exp exp2))
1248 (math-to-radians-2 exp2)
1249 '(var i var-i)))))))))
1250 ((or (equal math-expr-data "\\dots")
1251 (equal math-expr-data "\\ldots"))
1254 (let ((exp2 (if (or (equal math-expr-data ")")
1255 (equal math-expr-data "]")
1256 (eq math-exp-token 'end))
1258 (math-read-expr-level 0))))
1261 (if (equal math-expr-data ")") 0 1)
1264 (if (not (or (equal math-expr-data ")")
1265 (and (equal math-expr-data "]") (eq (car-safe exp) 'intv))
1266 (eq math-exp-token 'end)))
1267 (throw 'syntax "Expected `)'"))
1270 ((eq math-exp-token 'string)
1273 ((equal math-expr-data "[")
1275 (math-read-brackets t "]"))
1276 ((equal math-expr-data "{")
1278 (math-read-brackets nil "}"))
1279 ((equal math-expr-data "<")
1281 (math-read-angle-brackets))
1282 (t (throw 'syntax "Expected a number")))))
1284 (provide 'calc-aent)
1287 ;; generated-autoload-file: "calc-loaddefs.el"
1290 ;; arch-tag: 5599e45d-e51e-44bb-9a20-9f4ed8c96c32
1291 ;;; calc-aent.el ends here