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 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-leading-zeros nil
)
133 (calc-group-digits nil
)
134 (calc-point-char ".")
135 (calc-frac-format '(":" nil
))
136 (calc-prefer-frac nil
)
137 (calc-hms-format "%s@ %s' %s\"")
138 (calc-date-format '((H ":" mm C SS pp
" ")
139 Www
" " Mmm
" " D
", " YYYY
))
140 (calc-float-format '(float 0))
141 (calc-full-float-format '(float 0))
142 (calc-complex-format nil
)
143 (calc-matrix-just nil
)
144 (calc-full-vectors t
)
145 (calc-break-vectors nil
)
146 (calc-vector-commas ",")
147 (calc-vector-brackets "[]")
148 (calc-matrix-brackets '(R O
))
149 (calc-complex-mode 'cplx
)
150 (calc-infinite-mode nil
)
151 (calc-display-strings nil
)
152 (calc-simplify-mode nil
)
153 (calc-display-working-message 'lots
)
156 (set (car strp
) (nth 1 strp
))
157 (setq strp
(cdr (cdr strp
))))
158 (calc-do-calc-eval (car str
) separator args
)))
159 ((eq separator
'eval
)
161 ((eq separator
'macro
)
163 (let* ((calc-buffer (current-buffer))
164 (calc-window (get-buffer-window calc-buffer
))
165 (save-window (selected-window)))
169 (select-window calc-window
)
170 (calc-execute-kbd-macro str nil
(car args
)))
171 (and (window-point save-window
)
172 (select-window save-window
)))
173 (save-window-excursion
174 (select-window (get-largest-window))
175 (switch-to-buffer calc-buffer
)
176 (calc-execute-kbd-macro str nil
(car args
)))))
179 (or (not (integerp str
))
181 (calc-pop (min str
(calc-stack-size))))
186 (<= str
(calc-stack-size))
187 (math-format-value (calc-top-n str
(car args
)) 1000)))
188 ((eq separator
'rawtop
)
191 (<= str
(calc-stack-size))
192 (calc-top-n str
(car args
))))
194 (let* ((calc-command-flags nil
)
196 (calc-language (if (memq calc-language
'(nil big
))
197 'flat calc-language
))
198 (calc-dollar-values (mapcar
203 (setq x
(math-read-exprs x
))
213 (res (if (stringp str
)
214 (math-read-exprs str
)
217 (if (eq (car res
) 'error
)
218 (calc-eval-error (cdr res
))
219 (setq res
(mapcar 'calc-normalize res
))
220 (and (memq 'clear-message calc-command-flags
)
222 (cond ((eq separator
'pred
)
224 (if (= (length res
) 1)
225 (math-is-true (car res
))
226 (calc-eval-error '(0 "Single value expected"))))
228 (if (= (length res
) 1)
230 (calc-eval-error '(0 "Single value expected"))))
231 ((eq separator
'list
)
233 ((memq separator
'(num rawnum
))
234 (if (= (length res
) 1)
235 (if (math-constp (car res
))
236 (if (eq separator
'num
)
237 (math-format-value (car res
) 1000)
242 (calc-explain-why (car calc-next-why
))
243 "Number expected"))))
244 (calc-eval-error '(0 "Single value expected"))))
245 ((eq separator
'push
)
249 (setq buf
(concat buf
250 (and buf
(or separator
", "))
251 (math-format-value (car res
) 1000))
255 (defvar calc-eval-error nil
256 "Determines how calc handles errors.
257 If nil, return a list containing the character position of error.
258 STRING means return error message as string rather than list.
259 The value t means abort and give an error message.")
261 (defun calc-eval-error (msg)
263 (if (eq calc-eval-error
'string
)
265 (error "%s" (nth 1 msg
)))
269 ;;;; Reading an expression in algebraic form.
272 (defun calc-auto-algebraic-entry (&optional prefix
)
274 (calc-algebraic-entry prefix t
))
277 (defun calc-algebraic-entry (&optional prefix auto
)
280 (let ((calc-language (if prefix nil calc-language
))
281 (math-expr-opers (if prefix
(math-standard-ops) (math-expr-ops))))
282 (calc-alg-entry (and auto
(char-to-string last-command-event
))))))
284 (defvar calc-alg-entry-history nil
285 "History for algebraic entry.")
288 (defun calc-alg-entry (&optional initial prompt
)
289 (let* ((sel-mode nil
)
290 (calc-dollar-values (mapcar 'calc-get-stack-element
291 (nthcdr calc-stack-top calc-stack
)))
294 (alg-exp (calc-do-alg-entry initial prompt t
'calc-alg-entry-history
)))
295 (if (stringp alg-exp
)
298 (calc-alg-edit alg-exp
))
299 (let* ((calc-simplify-mode (if (eq last-command-event ?\C-j
)
302 (nvals (mapcar 'calc-normalize alg-exp
)))
304 (calc-record (if (featurep 'calc-ext
) (car alg-exp
) (car nvals
))
306 (calc-pop-push-record-list calc-dollar-used
307 (and (not (equal (car alg-exp
)
312 (setq alg-exp
(cdr alg-exp
)
314 calc-dollar-used
0)))
315 (calc-handle-whys))))
317 (defvar calc-alg-ent-map nil
318 "The keymap used for algebraic entry.")
320 (defvar calc-alg-ent-esc-map nil
321 "The keymap used for escapes in algebraic entry.")
323 (defvar calc-alg-exp
)
326 (defun calc-do-alg-entry (&optional initial prompt no-normalize history
)
327 (let* ((calc-buffer (current-buffer))
328 (blink-paren-function 'calcAlg-blink-matching-open
)
329 (calc-alg-exp 'error
))
330 (unless calc-alg-ent-map
331 (setq calc-alg-ent-map
(copy-keymap minibuffer-local-map
))
332 (define-key calc-alg-ent-map
"'" 'calcAlg-previous
)
333 (define-key calc-alg-ent-map
"`" 'calcAlg-edit
)
334 (define-key calc-alg-ent-map
"\C-m" 'calcAlg-enter
)
335 (define-key calc-alg-ent-map
"\C-j" 'calcAlg-enter
)
337 (setq calc-alg-ent-esc-map
(copy-keymap esc-map
))
339 (aset (nth 1 calc-alg-ent-esc-map
) i
'calcAlg-escape
)
341 (define-key calc-alg-ent-map
"\e" nil
)
342 (if (eq calc-algebraic-mode
'total
)
343 (define-key calc-alg-ent-map
"\e" calc-alg-ent-esc-map
)
344 (define-key calc-alg-ent-map
"\e+" 'calcAlg-plus-minus
)
345 (define-key calc-alg-ent-map
"\em" 'calcAlg-mod
)
346 (define-key calc-alg-ent-map
"\e=" 'calcAlg-equals
)
347 (define-key calc-alg-ent-map
"\e\r" 'calcAlg-equals
)
348 (define-key calc-alg-ent-map
"\ep" 'previous-history-element
)
349 (define-key calc-alg-ent-map
"\en" 'next-history-element
)
350 (define-key calc-alg-ent-map
"\e%" 'self-insert-command
))
351 (setq calc-aborted-prefix nil
)
352 (let ((buf (read-from-minibuffer (or prompt
"Algebraic: ")
354 calc-alg-ent-map nil history
)))
355 (when (eq calc-alg-exp
'error
)
356 (when (eq (car-safe (setq calc-alg-exp
(math-read-exprs buf
))) 'error
)
357 (setq calc-alg-exp nil
)))
358 (setq calc-aborted-prefix
"alg'")
360 (and calc-alg-exp
(setq calc-alg-exp
(mapcar 'calc-normalize calc-alg-exp
))))
363 (defun calcAlg-plus-minus ()
365 (if (calc-minibuffer-contains ".* \\'")
369 (defun calcAlg-mod ()
371 (if (not (calc-minibuffer-contains ".* \\'"))
373 (if (calc-minibuffer-contains ".* mod +\\'")
374 (if calc-previous-modulo
375 (insert (math-format-flat-expr calc-previous-modulo
0))
379 (defun calcAlg-previous ()
381 (if (calc-minibuffer-contains "\\'")
382 (previous-history-element 1)
385 (defun calcAlg-equals ()
389 (if (consp calc-alg-exp
)
390 (progn (setq prefix-arg
(length calc-alg-exp
))
391 (calc-unread-command ?
=)))))
393 (defun calcAlg-escape ()
395 (calc-unread-command)
398 (use-local-map calc-mode-map
))
401 (defvar calc-plain-entry nil
)
402 (defun calcAlg-edit ()
404 (if (or (not calc-plain-entry
)
405 (calc-minibuffer-contains
406 "\\`\\([^\"]*\"[^\"]*\"\\)*[^\"]*\"[^\"]*\\'"))
408 (setq calc-alg-exp
(minibuffer-contents))
413 (defun calcAlg-enter ()
415 (let* ((str (minibuffer-contents))
416 (exp (and (> (length str
) 0)
417 (with-current-buffer calc-buffer
418 (math-read-exprs str
)))))
419 (if (eq (car-safe exp
) 'error
)
421 (goto-char (minibuffer-prompt-end))
422 (forward-char (nth 1 exp
))
424 (calc-temp-minibuffer-message
425 (concat " [" (or (nth 2 exp
) "Error") "]"))
426 (calc-clear-unread-commands))
427 (setq calc-alg-exp
(if (calc-minibuffer-contains "\\` *\\[ *\\'")
432 (defun calcAlg-blink-matching-open ()
433 (let ((rightpt (point))
435 (rightchar (preceding-char))
441 (setq leftpt
(scan-sexps rightpt -
1)
442 leftchar
(char-after leftpt
))
445 (or (and (= rightchar ?\
))
447 (and (= rightchar ?\
])
451 (looking-at ".+\\(\\.\\.\\|\\\\dots\\|\\\\ldots\\)")))
452 (let ((leftsaved (aref (syntax-table) leftchar
))
453 (rightsaved (aref (syntax-table) rightchar
)))
456 (cond ((= leftchar ?\
[)
457 (aset (syntax-table) leftchar
(cons 4 ?\
)))
458 (aset (syntax-table) rightchar
(cons 5 ?\
[)))
460 (aset (syntax-table) leftchar
(cons 4 ?\
]))
461 (aset (syntax-table) rightchar
(cons 5 ?\
())))
462 (blink-matching-open))
463 (aset (syntax-table) leftchar leftsaved
)
464 (aset (syntax-table) rightchar rightsaved
)))
465 (blink-matching-open))))
468 (defun calc-alg-digit-entry ()
470 (cond ((eq last-command-event ?e
)
471 (if (> calc-number-radix
14) (format "%d.^" calc-number-radix
) "1e"))
472 ((eq last-command-event ?
#) (format "%d#" calc-number-radix
))
473 ((eq last-command-event ?_
) "-")
474 ((eq last-command-event ?
@) "0@ ")
475 (t (char-to-string last-command-event
)))))
477 ;; The variable calc-digit-value is initially declared in calc.el,
478 ;; but can be set by calcDigit-algebraic and calcDigit-edit.
479 (defvar calc-digit-value
)
482 (defun calcDigit-algebraic ()
484 (if (calc-minibuffer-contains ".*[@oh] *[^'m ]+[^'m]*\\'")
486 (setq calc-digit-value
(minibuffer-contents))
490 (defun calcDigit-edit ()
492 (calc-unread-command)
493 (setq calc-digit-value
(minibuffer-contents))
497 ;;; Algebraic expression parsing. [Public]
499 (defvar math-read-replacement-list
501 ("±" "+/-") ; plus or minus
502 ("×" "*") ; multiplication sign
503 ("÷" ":") ; division sign
504 ("−" "-") ; subtraction sign
505 ("∕" "/") ; division sign
506 ("∗" "*") ; asterisk multiplication
507 ("∞" "inf") ; infinity symbol
561 "A list whose elements (old new) indicate replacements to make
562 in Calc algebraic input.")
564 (defvar math-read-superscripts
565 "⁰¹²³⁴⁵⁶⁷⁸⁹⁺⁻⁽⁾ⁿⁱ" ; 0123456789+-()ni
566 "A string consisting of the superscripts allowed by Calc.")
568 (defvar math-read-subscripts
569 "₀₁₂₃₄₅₆₇₈₉₊₋₍₎" ; 0123456789+-()
570 "A string consisting of the subscripts allowed by Calc.")
573 (defun math-read-preprocess-string (str)
574 "Replace some substrings of STR by Calc equivalents."
576 (replace-regexp-in-string (concat "[" math-read-superscripts
"]+")
579 (replace-regexp-in-string (concat "[" math-read-subscripts
"]+")
581 (let ((rep-list math-read-replacement-list
))
584 (replace-regexp-in-string (nth 0 (car rep-list
))
585 (nth 1 (car rep-list
)) str
))
586 (setq rep-list
(cdr rep-list
))))
589 ;; The next few variables are local to math-read-exprs (and math-read-expr
590 ;; in calc-ext.el), but are set in functions they call.
592 (defvar math-exp-pos
)
593 (defvar math-exp-str
)
594 (defvar math-exp-old-pos
)
595 (defvar math-exp-token
)
596 (defvar math-exp-keep-spaces
)
597 (defvar math-expr-data
)
600 (defun math-read-exprs (math-exp-str)
601 (let ((math-exp-pos 0)
603 (math-exp-keep-spaces nil
)
604 math-exp-token math-expr-data
)
605 (setq math-exp-str
(math-read-preprocess-string math-exp-str
))
606 (if (memq calc-language calc-lang-allow-percentsigns
)
607 (setq math-exp-str
(math-remove-percentsigns math-exp-str
)))
608 (if calc-language-input-filter
609 (setq math-exp-str
(funcall calc-language-input-filter math-exp-str
)))
610 (while (setq math-exp-token
611 (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str
))
613 (concat (substring math-exp-str
0 math-exp-token
) "\\dots"
614 (substring math-exp-str
(+ math-exp-token
2)))))
615 (math-build-parse-table)
617 (let ((val (catch 'syntax
(math-read-expr-list))))
619 (list 'error math-exp-old-pos val
)
620 (if (equal math-exp-token
'end
)
622 (list 'error math-exp-old-pos
"Syntax error"))))))
625 (defun math-read-expr-list ()
626 (let* ((math-exp-keep-spaces nil
)
627 (val (list (math-read-expr-level 0)))
629 (while (equal math-expr-data
",")
631 (let ((rest (list (math-read-expr-level 0))))
636 (defvar calc-user-parse-table nil
)
637 (defvar calc-last-main-parse-table nil
)
638 (defvar calc-last-user-lang-parse-table nil
)
639 (defvar calc-last-lang-parse-table nil
)
640 (defvar calc-user-tokens nil
)
641 (defvar calc-user-token-chars nil
)
643 (defvar math-toks nil
644 "Tokens to pass between math-build-parse-table and math-find-user-tokens.")
647 (defun math-build-parse-table ()
648 (let ((mtab (cdr (assq nil calc-user-parse-tables
)))
649 (ltab (cdr (assq calc-language calc-user-parse-tables
)))
650 (lltab (get calc-language
'math-parse-table
)))
651 (or (and (eq mtab calc-last-main-parse-table
)
652 (eq ltab calc-last-user-lang-parse-table
)
653 (eq lltab calc-last-lang-parse-table
))
654 (let ((p (append mtab ltab lltab
))
656 (setq calc-user-parse-table p
)
657 (setq calc-user-token-chars nil
)
659 (math-find-user-tokens (car (car p
)))
661 (setq calc-user-tokens
(mapconcat 'identity
662 (sort (mapcar 'car math-toks
)
663 (function (lambda (x y
)
667 calc-last-main-parse-table mtab
668 calc-last-user-lang-parse-table ltab
669 calc-last-lang-parse-table lltab
)))))
672 (defun math-find-user-tokens (p)
674 (cond ((and (stringp (car p
))
675 (or (> (length (car p
)) 1) (equal (car p
) "$")
676 (equal (car p
) "\""))
677 (string-match "[^a-zA-Z0-9]" (car p
)))
678 (let ((s (regexp-quote (car p
))))
679 (if (string-match "\\`[a-zA-Z0-9]" s
)
680 (setq s
(concat "\\<" s
)))
681 (if (string-match "[a-zA-Z0-9]\\'" s
)
682 (setq s
(concat s
"\\>")))
683 (or (assoc s math-toks
)
685 (setq math-toks
(cons (list s
) math-toks
))
686 (or (memq (aref (car p
) 0) calc-user-token-chars
)
687 (setq calc-user-token-chars
688 (cons (aref (car p
) 0)
689 calc-user-token-chars
)))))))
691 (math-find-user-tokens (nth 1 (car p
)))
692 (or (eq (car (car p
)) '\?)
693 (math-find-user-tokens (nth 2 (car p
))))))
697 (defun math-read-token ()
698 (if (>= math-exp-pos
(length math-exp-str
))
699 (setq math-exp-old-pos math-exp-pos
701 math-expr-data
"\000")
703 (ch (aref math-exp-str math-exp-pos
)))
704 (setq math-exp-old-pos math-exp-pos
)
705 (cond ((memq ch
'(32 10 9))
706 (setq math-exp-pos
(1+ math-exp-pos
))
707 (if math-exp-keep-spaces
708 (setq math-exp-token
'space
711 ((and (memq ch calc-user-token-chars
)
712 (let ((case-fold-search nil
))
714 calc-user-tokens math-exp-str math-exp-pos
)
716 (setq math-exp-token
'punc
717 math-expr-data
(math-match-substring math-exp-str
0)
718 math-exp-pos
(match-end 0)))
719 ((or (and (>= ch ?a
) (<= ch ?z
))
720 (and (>= ch ?A
) (<= ch ?Z
)))
723 ((and (memq calc-language calc-lang-allow-underscores
)
724 (memq calc-language calc-lang-allow-percentsigns
))
726 ((memq calc-language calc-lang-allow-underscores
)
728 (t "[a-zA-Z0-9'#]*"))
729 math-exp-str math-exp-pos
)
730 (setq math-exp-token
'symbol
731 math-exp-pos
(match-end 0)
732 math-expr-data
(math-restore-dashes
733 (math-match-substring math-exp-str
0)))
734 (if (setq adfn
(get calc-language
'math-lang-adjust-words
))
736 ((or (and (>= ch ?
0) (<= ch ?
9))
738 (eq (string-match "\\.[0-9]" math-exp-str math-exp-pos
)
741 (eq (string-match "_\\.?[0-9]" math-exp-str math-exp-pos
)
743 (or (eq math-exp-pos
0)
744 (and (not (memq calc-language
745 calc-lang-allow-underscores
))
746 (eq (string-match "[^])}\"a-zA-Z0-9'$]_"
747 math-exp-str
(1- math-exp-pos
))
748 (1- math-exp-pos
))))))
749 (or (and (memq calc-language calc-lang-c-type-hex
)
750 (string-match "0[xX][0-9a-fA-F]+" math-exp-str math-exp-pos
))
751 (string-match "_?\\([0-9]+.?0*@ *\\)?\\([0-9]+.?0*' *\\)?\\(0*\\([2-9]\\|1[0-4]\\)\\(#[#]?\\|\\^\\^\\)[0-9a-dA-D.]+[eE][-+_]?[0-9]+\\|0*\\([2-9]\\|[0-2][0-9]\\|3[0-6]\\)\\(#[#]?\\|\\^\\^\\)[0-9a-zA-Z:.]+\\|[0-9]+:[0-9:]+\\|[0-9.]+\\([eE][-+_]?[0-9]+\\)?\"?\\)?"
752 math-exp-str math-exp-pos
))
753 (setq math-exp-token
'number
754 math-expr-data
(math-match-substring math-exp-str
0)
755 math-exp-pos
(match-end 0)))
757 (assq ch
(get calc-language
'math-lang-read-symbol
)))
761 (if (eq (string-match "\\$\\([1-9][0-9]*\\)" math-exp-str math-exp-pos
)
763 (setq math-expr-data
(- (string-to-number (math-match-substring
765 (string-match "\\$+" math-exp-str math-exp-pos
)
766 (setq math-expr-data
(- (match-end 0) (match-beginning 0))))
767 (setq math-exp-token
'dollar
768 math-exp-pos
(match-end 0)))
770 (if (eq (string-match "#\\([1-9][0-9]*\\)" math-exp-str math-exp-pos
)
772 (setq math-expr-data
(string-to-number
773 (math-match-substring math-exp-str
1))
774 math-exp-pos
(match-end 0))
775 (setq math-expr-data
1
776 math-exp-pos
(1+ math-exp-pos
)))
777 (setq math-exp-token
'hash
))
778 ((eq (string-match "~=\\|<=\\|>=\\|<>\\|/=\\|\\+/-\\|\\\\dots\\|\\\\ldots\\|\\*\\*\\|<<\\|>>\\|==\\|!=\\|&&&\\||||\\|!!!\\|&&\\|||\\|!!\\|:=\\|::\\|=>"
779 math-exp-str math-exp-pos
)
781 (setq math-exp-token
'punc
782 math-expr-data
(math-match-substring math-exp-str
0)
783 math-exp-pos
(match-end 0)))
785 (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)"
786 math-exp-str math-exp-pos
))
787 (setq math-exp-token
'string
788 math-expr-data
(math-match-substring math-exp-str
1)
789 math-exp-pos
(match-end 0)))
790 ((and (setq adfn
(get calc-language
'math-lang-read
))
792 (eval (nth 1 adfn
))))
793 ((eq (string-match "%%.*$" math-exp-str math-exp-pos
) math-exp-pos
)
794 (setq math-exp-pos
(match-end 0))
797 (if (setq adfn
(assq ch
(get calc-language
'math-punc-table
)))
798 (setq ch
(cdr adfn
)))
799 (setq math-exp-token
'punc
800 math-expr-data
(char-to-string ch
)
801 math-exp-pos
(1+ math-exp-pos
)))))))
803 (defconst math-alg-inequalities
804 '(calcFunc-lt calcFunc-gt calcFunc-leq calcFunc-geq
805 calcFunc-eq calcFunc-neq
))
807 (defun math-read-expr-level (exp-prec &optional exp-term
)
808 (let* ((math-expr-opers (math-expr-ops))
809 (x (math-read-factor))
812 (while (and (or (and calc-user-parse-table
813 (setq op
(calc-check-user-syntax x exp-prec
))
815 op
'("2x" ident
999999 -
1)))
816 (and (setq op
(assoc math-expr-data math-expr-opers
))
818 (or (and (setq op2
(assoc
820 (cdr (memq op math-expr-opers
))))
821 (eq (= (nth 3 op
) -
1)
823 (eq (= (nth 3 op2
) -
1)
824 (not (math-factor-after)))
827 (and (or (eq (nth 2 op
) -
1)
828 (memq math-exp-token
'(symbol number dollar hash
))
829 (equal math-expr-data
"(")
830 (and (equal math-expr-data
"[")
833 'math-function-open
) "["))
834 (not (and math-exp-keep-spaces
835 (eq (car-safe x
) 'vec
)))))
836 (or (not (setq op
(assoc math-expr-data math-expr-opers
)))
838 (or (not calc-user-parse-table
)
839 (not (eq math-exp-token
'symbol
))
840 (let ((p calc-user-parse-table
))
843 (car (car (car p
)))))
845 (nth 1 (car (car p
)))
849 (setq op
(assoc "2x" math-expr-opers
))))
850 (not (and exp-term
(equal math-expr-data exp-term
)))
851 (>= (nth 2 op
) exp-prec
))
852 (if (not (equal (car op
) "2x"))
854 (and (memq (nth 1 op
) '(sdev mod
))
856 (setq x
(cond ((consp (nth 1 op
))
857 (funcall (car (nth 1 op
)) x op
))
859 (if (eq (nth 1 op
) 'ident
)
861 (if (eq (nth 1 op
) 'closing
)
862 (if (eq (nth 2 op
) exp-prec
)
866 (throw 'syntax
"Mismatched delimiters"))
867 (list (nth 1 op
) x
))))
869 (memq (nth 1 op
) math-alg-inequalities
)
870 (memq (car-safe x
) math-alg-inequalities
))
872 (math-composite-inequalities x op
))
875 (math-read-expr-level (nth 3 op
) exp-term
))))
879 ;; calc-arg-values is defined in calc-ext.el, but is used here.
880 (defvar calc-arg-values
)
883 (defun calc-check-user-syntax (&optional x prec
)
884 (let ((p calc-user-parse-table
)
889 (setq rule
(car (car p
)))
891 (and (integerp (car rule
))
893 (equal math-expr-data
894 (car (setq rule
(cdr rule
)))))
895 (equal math-expr-data
(car rule
)))))
896 (let ((save-exp-pos math-exp-pos
)
897 (save-exp-old-pos math-exp-old-pos
)
898 (save-exp-token math-exp-token
)
899 (save-exp-data math-expr-data
))
901 (setq matches
(calc-match-user-syntax rule
))))
908 (setq matches
(cons x matches
)))
909 (setq match
(cdr (car p
)))
910 (while (and (eq (car-safe match
)
912 (= (length match
) 3))
913 (setq conds
(append (math-flatten-lands
916 match
(nth 1 match
)))
917 (while (and conds match
)
919 (cond ((eq (car-safe (car conds
))
921 (setq temp
(car conds
))
922 (or (= (length temp
) 3)
923 (and (= (length temp
) 2)
924 (eq (car-safe (nth 1 temp
))
926 (= (length (nth 1 temp
)) 3)
927 (setq temp
(nth 1 temp
)))
935 args
(cons (nth 1 temp
)
937 ((and (eq (car-safe (car conds
))
939 (= (length (car conds
)) 3))
940 (setq temp
(calcFunc-vmatches
944 (nth 2 (car conds
))))
947 (while (setq temp
(cdr temp
))
948 (setq matches
(cons (nth 2 (car temp
))
950 args
(cons (nth 1 (car temp
))
953 (or (math-is-true (math-simplify
958 (setq conds
(cdr conds
)))
960 (not (setq match
(math-multi-subst
961 match args matches
)))
962 (setq math-exp-old-pos save-exp-old-pos
963 math-exp-token save-exp-token
964 math-expr-data save-exp-data
965 math-exp-pos save-exp-pos
)))))))
970 (defun calc-match-user-syntax (p &optional term
)
972 (save-exp-pos math-exp-pos
)
973 (save-exp-old-pos math-exp-old-pos
)
974 (save-exp-token math-exp-token
)
975 (save-exp-data math-expr-data
)
978 (cond ((stringp (car p
))
979 (and (equal math-expr-data
(car p
))
984 (and (setq m
(catch 'syntax
985 (math-read-expr-level
988 (if (consp (nth 1 p
))
989 (car (nth 1 (nth 1 p
)))
993 (setq matches
(nconc matches
(list m
)))))
994 ((eq (car (car p
)) '\?)
995 (setq m
(calc-match-user-syntax (nth 1 (car p
))))
1000 (cons 'vec
(and (listp m
) m
))))))
1001 (or (listp m
) (not (nth 2 (car p
)))
1002 (not (eq (aref (car (nth 2 (car p
))) 0) ?\$
))
1003 (eq math-exp-token
'end
)))
1005 (setq m
(calc-match-user-syntax (nth 1 (car p
))
1006 (car (nth 2 (car p
)))))
1008 (let ((vec (cons 'vec m
))
1011 (setq opos math-exp-pos
1012 mm
(calc-match-user-syntax
1015 (car (nth 2 (car p
))))))
1016 (> math-exp-pos opos
))
1017 (setq vec
(nconc vec mm
)))
1018 (setq matches
(nconc matches
(list vec
))))
1019 (and (eq (car (car p
)) '*)
1020 (setq matches
(nconc matches
(list '(vec)))))))))
1023 (setq math-exp-pos save-exp-pos
1024 math-exp-old-pos save-exp-old-pos
1025 math-exp-token save-exp-token
1026 math-expr-data save-exp-data
1031 (defun math-remove-dashes (x)
1032 (if (string-match "\\`\\(.*\\)-\\(.*\\)\\'" x
)
1034 (concat (math-match-substring x
1) "#" (math-match-substring x
2)))
1037 (defun math-remove-percentsigns (x)
1038 (if (string-match "\\`\\(.*\\)%\\(.*\\)\\'" x
)
1039 (math-remove-percentsigns
1040 (concat (math-match-substring x
1) "o'o" (math-match-substring x
2)))
1043 (defun math-restore-dashes (x)
1044 (if (string-match "\\`\\(.*\\)[#_]\\(.*\\)\\'" x
)
1045 (math-restore-dashes
1046 (concat (math-match-substring x
1) "-" (math-match-substring x
2)))
1049 (defun math-restore-placeholders (x)
1050 "Replace placeholders by the proper characters in the symbol x.
1051 This includes `#' for `_' and `'' for `%'.
1052 If the current Calc language does not use placeholders, return nil."
1053 (if (or (memq calc-language calc-lang-allow-underscores
)
1054 (memq calc-language calc-lang-allow-percentsigns
))
1055 (let ((sx (symbol-name x
)))
1056 (when (memq calc-language calc-lang-allow-percentsigns
)
1058 (setq sx
(math-to-percentsigns sx
)))
1059 (if (memq calc-language calc-lang-allow-underscores
)
1060 (setq sx
(math-string-restore-underscores sx
)))
1063 (defun math-string-restore-underscores (x)
1064 "Replace pound signs by underscores in the string x."
1065 (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x
)
1066 (math-string-restore-underscores
1067 (concat (math-match-substring x
1) "_" (math-match-substring x
2)))
1071 (defun math-read-if (cond op
)
1072 (let ((then (math-read-expr-level 0)))
1073 (or (equal math-expr-data
":")
1074 (throw 'syntax
"Expected ':'"))
1076 (list 'calcFunc-if cond then
(math-read-expr-level (nth 3 op
)))))
1078 (defun math-factor-after ()
1079 (let ((math-exp-pos math-exp-pos
)
1080 math-exp-old-pos math-exp-token math-expr-data
)
1082 (or (memq math-exp-token
'(number symbol dollar hash string
))
1083 (and (assoc math-expr-data
'(("-") ("+") ("!") ("|") ("/")))
1084 (assoc (concat "u" math-expr-data
) math-expr-opers
))
1085 (eq (nth 2 (assoc math-expr-data math-expr-opers
)) -
1)
1086 (assoc math-expr-data
'(("(") ("[") ("{"))))))
1088 (defun math-read-factor ()
1089 (let ((math-expr-opers (math-expr-ops))
1091 (cond ((eq math-exp-token
'number
)
1092 (let ((num (math-read-number math-expr-data
)))
1095 (setq math-exp-old-pos math-exp-pos
)
1096 (throw 'syntax
"Bad format")))
1098 (if (and math-read-expr-quotes
1102 ((and calc-user-parse-table
1103 (setq op
(calc-check-user-syntax)))
1105 ((or (equal math-expr-data
"-")
1106 (equal math-expr-data
"+")
1107 (equal math-expr-data
"!")
1108 (equal math-expr-data
"|")
1109 (equal math-expr-data
"/"))
1110 (setq math-expr-data
(concat "u" math-expr-data
))
1112 ((and (setq op
(assoc math-expr-data math-expr-opers
))
1114 (if (consp (nth 1 op
))
1115 (funcall (car (nth 1 op
)) op
)
1117 (let ((val (math-read-expr-level (nth 3 op
))))
1118 (cond ((eq (nth 1 op
) 'ident
)
1120 ((and (Math-numberp val
)
1121 (equal (car op
) "u-"))
1123 (t (list (nth 1 op
) val
))))))
1124 ((eq math-exp-token
'symbol
)
1125 (let ((sym (intern math-expr-data
)))
1127 (if (equal math-expr-data calc-function-open
)
1128 (let ((f (assq sym math-expr-function-mapping
)))
1131 (funcall (car (cdr f
)) f sym
)
1132 (let ((args (if (or (equal math-expr-data calc-function-close
)
1133 (eq math-exp-token
'end
))
1135 (math-read-expr-list))))
1136 (if (not (or (equal math-expr-data calc-function-close
)
1137 (eq math-exp-token
'end
)))
1138 (throw 'syntax
"Expected `)'"))
1140 (if (and (memq calc-language
1141 calc-lang-parens-are-subscripts
)
1144 (let ((calc-matrix-mode 'scalar
))
1149 (symbol-name sym
)))))))
1150 (math-parse-fortran-subscr sym args
)
1153 (and (= (aref (symbol-name sym
) 0) ?
\\)
1154 (< (prefix-numeric-value calc-language-option
)
1156 (setq sym
(intern (substring (symbol-name sym
)
1158 (or (string-match "-" (symbol-name sym
))
1161 (symbol-name sym
))))))
1163 (if math-read-expr-quotes
1165 (let ((val (list 'var
1166 (intern (math-remove-dashes
1168 (if (string-match "-" (symbol-name sym
))
1170 (intern (concat "var-"
1171 (symbol-name sym
)))))))
1173 (assq (nth 1 val
) math-expr-variable-mapping
)
1174 (assq (math-restore-placeholders (nth 1 val
))
1175 math-expr-variable-mapping
))))
1176 (and v
(setq val
(if (consp (cdr v
))
1177 (funcall (car (cdr v
)) v val
)
1180 (substring (symbol-name (cdr v
))
1183 (while (and (memq calc-language
1184 calc-lang-brackets-are-subscripts
)
1185 (equal math-expr-data
"["))
1187 (let ((el (math-read-expr-list)))
1189 (setq val
(append (list 'calcFunc-subscr val
)
1191 (setq el
(cdr el
))))
1192 (if (equal math-expr-data
"]")
1194 (throw 'syntax
"Expected ']'")))
1196 ((eq math-exp-token
'dollar
)
1197 (let ((abs (if (> math-expr-data
0) math-expr-data
(- math-expr-data
))))
1198 (if (>= (length calc-dollar-values
) abs
)
1199 (let ((num math-expr-data
))
1201 (setq calc-dollar-used
(max calc-dollar-used num
))
1202 (math-check-complete (nth (1- abs
) calc-dollar-values
)))
1203 (throw 'syntax
(if calc-dollar-values
1205 "$'s not allowed in this context")))))
1206 ((eq math-exp-token
'hash
)
1207 (or calc-hashes-used
1208 (throw 'syntax
"#'s not allowed in this context"))
1210 (if (<= math-expr-data
(length calc-arg-values
))
1211 (let ((num math-expr-data
))
1213 (setq calc-hashes-used
(max calc-hashes-used num
))
1214 (nth (1- num
) calc-arg-values
))
1215 (throw 'syntax
"Too many # arguments")))
1216 ((equal math-expr-data
"(")
1217 (let* ((exp (let ((math-exp-keep-spaces nil
))
1219 (if (or (equal math-expr-data
"\\dots")
1220 (equal math-expr-data
"\\ldots"))
1221 '(neg (var inf var-inf
))
1222 (math-read-expr-level 0)))))
1223 (let ((math-exp-keep-spaces nil
))
1225 ((equal math-expr-data
",")
1228 (let ((exp2 (math-read-expr-level 0)))
1230 (if (and exp2
(Math-realp exp
) (Math-realp exp2
))
1231 (math-normalize (list 'cplx exp exp2
))
1232 (list '+ exp
(list '* exp2
'(var i var-i
))))))))
1233 ((equal math-expr-data
";")
1236 (let ((exp2 (math-read-expr-level 0)))
1237 (setq exp
(if (and exp2
(Math-realp exp
)
1239 (math-normalize (list 'polar exp exp2
))
1244 (math-to-radians-2 exp2
)
1245 '(var i var-i
)))))))))
1246 ((or (equal math-expr-data
"\\dots")
1247 (equal math-expr-data
"\\ldots"))
1250 (let ((exp2 (if (or (equal math-expr-data
")")
1251 (equal math-expr-data
"]")
1252 (eq math-exp-token
'end
))
1254 (math-read-expr-level 0))))
1257 (if (equal math-expr-data
")") 0 1)
1260 (if (not (or (equal math-expr-data
")")
1261 (and (equal math-expr-data
"]") (eq (car-safe exp
) 'intv
))
1262 (eq math-exp-token
'end
)))
1263 (throw 'syntax
"Expected `)'"))
1266 ((eq math-exp-token
'string
)
1269 ((equal math-expr-data
"[")
1271 (math-read-brackets t
"]"))
1272 ((equal math-expr-data
"{")
1274 (math-read-brackets nil
"}"))
1275 ((equal math-expr-data
"<")
1277 (math-read-angle-brackets))
1278 (t (throw 'syntax
"Expected a number")))))
1280 (provide 'calc-aent
)
1283 ;; generated-autoload-file: "calc-loaddefs.el"
1286 ;; arch-tag: 5599e45d-e51e-44bb-9a20-9f4ed8c96c32
1287 ;;; calc-aent.el ends here