1 ;;; calc-aent.el --- algebraic entry functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001 Free Software Foundation, Inc.
5 ;; Author: Dave Gillespie <daveg@synaptics.com>
6 ;; Maintainers: D. Goel <deego@gnufans.org>
7 ;; Colin Walters <walters@debian.org>
9 ;; This file is part of GNU Emacs.
11 ;; GNU Emacs is distributed in the hope that it will be useful,
12 ;; but WITHOUT ANY WARRANTY. No author or distributor
13 ;; accepts responsibility to anyone for the consequences of using it
14 ;; or for whether it serves any particular purpose or works at all,
15 ;; unless he says so in writing. Refer to the GNU Emacs General Public
16 ;; License for full details.
18 ;; Everyone is granted permission to copy, modify and redistribute
19 ;; GNU Emacs, but only under the conditions described in the
20 ;; GNU Emacs General Public License. A copy of this license is
21 ;; supposed to have been given to you along with GNU Emacs so you
22 ;; can know your rights and responsibilities. It should be in a
23 ;; file named COPYING. Among other things, the copyright notice
24 ;; and this notice must be preserved on all copies.
30 ;; This file is autoloaded from calc.el.
34 (eval-when-compile '(require calc-macs
))
36 (defun calc-Need-calc-aent () nil
)
39 (defun calc-do-quick-calc ()
41 (if (eq major-mode
'calc-mode
)
42 (calc-algebraic-entry t
)
46 (let* ((calc-command-flags nil
)
47 (calc-dollar-values calc-quick-prev-results
)
49 (enable-recursive-minibuffers t
)
50 (calc-language (if (memq calc-language
'(nil big
))
52 (entry (calc-do-alg-entry "" "Quick calc: " t
))
53 (alg-exp (mapcar (function
55 (if (and (not calc-extensions-loaded
)
56 calc-previous-alg-entry
58 "\\`[-0-9._+*/^() ]+\\'"
59 calc-previous-alg-entry
))
62 (math-evaluate-expr x
))))
64 (when (and (= (length alg-exp
) 1)
65 (eq (car-safe (car alg-exp
)) 'calcFunc-assign
)
66 (= (length (car alg-exp
)) 3)
67 (eq (car-safe (nth 1 (car alg-exp
))) 'var
))
69 (set (nth 2 (nth 1 (car alg-exp
))) (nth 2 (car alg-exp
)))
70 (calc-refresh-evaltos (nth 2 (nth 1 (car alg-exp
))))
71 (setq alg-exp
(list (nth 2 (car alg-exp
)))))
72 (setq calc-quick-prev-results alg-exp
73 buf
(mapconcat (function (lambda (x)
74 (math-format-value x
1000)))
78 (if (and (= (length alg-exp
) 1)
79 (memq (car-safe (car alg-exp
)) '(nil bigpos bigneg
))
81 (= calc-number-radix
10))
82 (setq buf
(concat buf
" ("
83 (let ((calc-number-radix 16))
84 (math-format-value (car alg-exp
) 1000))
86 (let ((calc-number-radix 8))
87 (math-format-value (car alg-exp
) 1000))
88 (if (and (integerp (car alg-exp
))
90 (< (car alg-exp
) 127))
91 (format ", \"%c\"" (car alg-exp
))
94 (if (and (< (length buf
) (frame-width)) (= (length entry
) 1)
95 calc-extensions-loaded
)
96 (let ((long (concat (math-format-value (car entry
) 1000)
98 (if (<= (length long
) (- (frame-width) 8))
101 (message "Result: %s" buf
)))
102 (if (eq last-command-char
10)
104 (setq kill-ring
(cons shortbuf kill-ring
))
105 (when (> (length kill-ring
) kill-ring-max
)
106 (setcdr (nthcdr (1- kill-ring-max
) kill-ring
) nil
))
107 (setq kill-ring-yank-pointer kill-ring
)))))
109 (defun calc-do-calc-eval (str separator args
)
115 ((and (consp str
) (not (symbolp (car str
))))
116 (let ((calc-language nil
)
117 (math-expr-opers math-standard-opers
)
118 (calc-internal-prec 12)
120 (calc-symbolic-mode nil
)
121 (calc-matrix-mode nil
)
122 (calc-angle-mode 'deg
)
123 (calc-number-radix 10)
124 (calc-leading-zeros nil
)
125 (calc-group-digits nil
)
126 (calc-point-char ".")
127 (calc-frac-format '(":" nil
))
128 (calc-prefer-frac nil
)
129 (calc-hms-format "%s@ %s' %s\"")
130 (calc-date-format '((H ":" mm C SS pp
" ")
131 Www
" " Mmm
" " D
", " YYYY
))
132 (calc-float-format '(float 0))
133 (calc-full-float-format '(float 0))
134 (calc-complex-format nil
)
135 (calc-matrix-just nil
)
136 (calc-full-vectors t
)
137 (calc-break-vectors nil
)
138 (calc-vector-commas ",")
139 (calc-vector-brackets "[]")
140 (calc-matrix-brackets '(R O
))
141 (calc-complex-mode 'cplx
)
142 (calc-infinite-mode nil
)
143 (calc-display-strings nil
)
144 (calc-simplify-mode nil
)
145 (calc-display-working-message 'lots
)
148 (set (car strp
) (nth 1 strp
))
149 (setq strp
(cdr (cdr strp
))))
150 (calc-do-calc-eval (car str
) separator args
)))
151 ((eq separator
'eval
)
153 ((eq separator
'macro
)
155 (let* ((calc-buffer (current-buffer))
156 (calc-window (get-buffer-window calc-buffer
))
157 (save-window (selected-window)))
161 (select-window calc-window
)
162 (calc-execute-kbd-macro str nil
(car args
)))
163 (and (window-point save-window
)
164 (select-window save-window
)))
165 (save-window-excursion
166 (select-window (get-largest-window))
167 (switch-to-buffer calc-buffer
)
168 (calc-execute-kbd-macro str nil
(car args
)))))
171 (or (not (integerp str
))
173 (calc-pop (min str
(calc-stack-size))))
178 (<= str
(calc-stack-size))
179 (math-format-value (calc-top-n str
(car args
)) 1000)))
180 ((eq separator
'rawtop
)
183 (<= str
(calc-stack-size))
184 (calc-top-n str
(car args
))))
186 (let* ((calc-command-flags nil
)
188 (calc-language (if (memq calc-language
'(nil big
))
189 'flat calc-language
))
190 (calc-dollar-values (mapcar
195 (setq x
(math-read-exprs x
))
205 (res (if (stringp str
)
206 (math-read-exprs str
)
209 (if (eq (car res
) 'error
)
210 (calc-eval-error (cdr res
))
211 (setq res
(mapcar 'calc-normalize res
))
212 (and (memq 'clear-message calc-command-flags
)
214 (cond ((eq separator
'pred
)
216 (if (= (length res
) 1)
217 (math-is-true (car res
))
218 (calc-eval-error '(0 "Single value expected"))))
220 (if (= (length res
) 1)
222 (calc-eval-error '(0 "Single value expected"))))
223 ((eq separator
'list
)
225 ((memq separator
'(num rawnum
))
226 (if (= (length res
) 1)
227 (if (math-constp (car res
))
228 (if (eq separator
'num
)
229 (math-format-value (car res
) 1000)
234 (calc-explain-why (car calc-next-why
))
235 "Number expected"))))
236 (calc-eval-error '(0 "Single value expected"))))
237 ((eq separator
'push
)
241 (setq buf
(concat buf
242 (and buf
(or separator
", "))
243 (math-format-value (car res
) 1000))
247 (defun calc-eval-error (msg)
248 (if (and (boundp 'calc-eval-error
)
250 (if (eq calc-eval-error
'string
)
252 (error "%s" (nth 1 msg
)))
256 ;;;; Reading an expression in algebraic form.
258 (defun calc-auto-algebraic-entry (&optional prefix
)
260 (calc-algebraic-entry prefix t
))
262 (defun calc-algebraic-entry (&optional prefix auto
)
265 (let ((calc-language (if prefix nil calc-language
))
266 (math-expr-opers (if prefix math-standard-opers math-expr-opers
)))
267 (calc-alg-entry (and auto
(char-to-string last-command-char
))))))
269 (defun calc-alg-entry (&optional initial prompt
)
270 (let* ((sel-mode nil
)
271 (calc-dollar-values (mapcar 'calc-get-stack-element
272 (nthcdr calc-stack-top calc-stack
)))
275 (alg-exp (calc-do-alg-entry initial prompt t
)))
276 (if (stringp alg-exp
)
279 (calc-alg-edit alg-exp
))
280 (let* ((calc-simplify-mode (if (eq last-command-char ?\C-j
)
283 (nvals (mapcar 'calc-normalize alg-exp
)))
285 (calc-record (if calc-extensions-loaded
(car alg-exp
) (car nvals
))
287 (calc-pop-push-record-list calc-dollar-used
288 (and (not (equal (car alg-exp
)
290 calc-extensions-loaded
293 (setq alg-exp
(cdr alg-exp
)
295 calc-dollar-used
0)))
296 (calc-handle-whys))))
298 (defun calc-do-alg-entry (&optional initial prompt no-normalize
)
299 (let* ((calc-buffer (current-buffer))
300 (blink-paren-function 'calcAlg-blink-matching-open
)
302 (unless (boundp 'calc-alg-ent-map
)
303 (setq calc-alg-ent-map
(copy-keymap minibuffer-local-map
))
304 (define-key calc-alg-ent-map
"'" 'calcAlg-previous
)
305 (define-key calc-alg-ent-map
"`" 'calcAlg-edit
)
306 (define-key calc-alg-ent-map
"\C-m" 'calcAlg-enter
)
307 (define-key calc-alg-ent-map
"\C-j" 'calcAlg-enter
)
308 (or calc-emacs-type-19
310 (setq calc-alg-ent-esc-map
(copy-sequence esc-map
))
312 (aset calc-alg-ent-esc-map i
'calcAlg-escape
)
314 (unless calc-emacs-type-19
315 (define-key calc-alg-ent-map
"\e" nil
))
316 (if (eq calc-algebraic-mode
'total
)
317 (define-key calc-alg-ent-map
"\e" calc-alg-ent-esc-map
)
318 (define-key calc-alg-ent-map
"\ep" 'calcAlg-plus-minus
)
319 (define-key calc-alg-ent-map
"\em" 'calcAlg-mod
)
320 (define-key calc-alg-ent-map
"\e=" 'calcAlg-equals
)
321 (define-key calc-alg-ent-map
"\e\r" 'calcAlg-equals
)
322 (define-key calc-alg-ent-map
"\e%" 'self-insert-command
))
323 (setq calc-aborted-prefix nil
)
324 (let ((buf (read-from-minibuffer (or prompt
"Algebraic: ")
326 calc-alg-ent-map nil
)))
327 (when (eq alg-exp
'error
)
328 (when (eq (car-safe (setq alg-exp
(math-read-exprs buf
))) 'error
)
330 (setq calc-aborted-prefix
"alg'")
332 (and alg-exp
(setq alg-exp
(mapcar 'calc-normalize alg-exp
))))
335 (defun calcAlg-plus-minus ()
337 (if (calc-minibuffer-contains ".* \\'")
341 (defun calcAlg-mod ()
343 (if (not (calc-minibuffer-contains ".* \\'"))
345 (if (calc-minibuffer-contains ".* mod +\\'")
346 (if calc-previous-modulo
347 (insert (math-format-flat-expr calc-previous-modulo
0))
351 (defun calcAlg-previous ()
353 (if (calc-minibuffer-contains "\\`\\'")
354 (if calc-previous-alg-entry
355 (insert calc-previous-alg-entry
)
359 (defun calcAlg-equals ()
364 (progn (setq prefix-arg
(length alg-exp
))
365 (calc-unread-command ?
=)))))
367 (defun calcAlg-escape ()
369 (calc-unread-command)
372 (use-local-map calc-mode-map
))
375 (defvar calc-plain-entry nil
)
376 (defun calcAlg-edit ()
378 (if (or (not calc-plain-entry
)
379 (calc-minibuffer-contains
380 "\\`\\([^\"]*\"[^\"]*\"\\)*[^\"]*\"[^\"]*\\'"))
382 (setq alg-exp
(minibuffer-contents))
383 (and (> (length alg-exp
) 0) (setq calc-previous-alg-entry alg-exp
))
386 (defun calcAlg-enter ()
388 (let* ((str (minibuffer-contents))
389 (exp (and (> (length str
) 0)
391 (set-buffer calc-buffer
)
392 (math-read-exprs str
)))))
393 (if (eq (car-safe exp
) 'error
)
395 (goto-char (minibuffer-prompt-end))
396 (forward-char (nth 1 exp
))
398 (calc-temp-minibuffer-message
399 (concat " [" (or (nth 2 exp
) "Error") "]"))
400 (calc-clear-unread-commands))
401 (setq alg-exp
(if (calc-minibuffer-contains "\\` *\\[ *\\'")
404 (and (> (length str
) 0) (setq calc-previous-alg-entry str
))
407 (defun calcAlg-blink-matching-open ()
408 (let ((oldpos (point))
412 (setq blinkpos
(scan-sexps oldpos -
1))
415 (> oldpos
(1+ (point-min)))
416 (or (and (= (char-after (1- oldpos
)) ?\
))
417 (= (char-after blinkpos
) ?\
[))
418 (and (= (char-after (1- oldpos
)) ?\
])
419 (= (char-after blinkpos
) ?\
()))
422 (looking-at ".+\\(\\.\\.\\|\\\\dots\\|\\\\ldots\\)")))
423 (let ((saved (aref (syntax-table) (char-after blinkpos
))))
426 (aset (syntax-table) (char-after blinkpos
)
427 (+ (logand saved
255)
428 (lsh (char-after (1- oldpos
)) 8)))
429 (blink-matching-open))
430 (aset (syntax-table) (char-after blinkpos
) saved
)))
431 (blink-matching-open))))
434 (defun calc-alg-digit-entry ()
436 (cond ((eq last-command-char ?e
)
437 (if (> calc-number-radix
14) (format "%d.^" calc-number-radix
) "1e"))
438 ((eq last-command-char ?
#) (format "%d#" calc-number-radix
))
439 ((eq last-command-char ?_
) "-")
440 ((eq last-command-char ?
@) "0@ ")
441 (t (char-to-string last-command-char
)))))
443 (defun calcDigit-algebraic ()
445 (if (calc-minibuffer-contains ".*[@oh] *[^'m ]+[^'m]*\\'")
447 (setq calc-digit-value
(minibuffer-contents))
450 (defun calcDigit-edit ()
452 (calc-unread-command)
453 (setq calc-digit-value
(minibuffer-contents))
457 ;;; Algebraic expression parsing. [Public]
459 (defun math-read-exprs (exp-str)
462 (exp-keep-spaces nil
)
464 (if calc-language-input-filter
465 (setq exp-str
(funcall calc-language-input-filter exp-str
)))
466 (while (setq exp-token
(string-match "\\.\\.\\([^.]\\|.[^.]\\)" exp-str
))
467 (setq exp-str
(concat (substring exp-str
0 exp-token
) "\\dots"
468 (substring exp-str
(+ exp-token
2)))))
469 (math-build-parse-table)
471 (let ((val (catch 'syntax
(math-read-expr-list))))
473 (list 'error exp-old-pos val
)
474 (if (equal exp-token
'end
)
476 (list 'error exp-old-pos
"Syntax error"))))))
478 (defun math-read-expr-list ()
479 (let* ((exp-keep-spaces nil
)
480 (val (list (math-read-expr-level 0)))
482 (while (equal exp-data
",")
484 (let ((rest (list (math-read-expr-level 0))))
489 (defvar calc-user-parse-table nil
)
490 (defvar calc-last-main-parse-table nil
)
491 (defvar calc-last-lang-parse-table nil
)
492 (defvar calc-user-tokens nil
)
493 (defvar calc-user-token-chars nil
)
495 (defun math-build-parse-table ()
496 (let ((mtab (cdr (assq nil calc-user-parse-tables
)))
497 (ltab (cdr (assq calc-language calc-user-parse-tables
))))
498 (or (and (eq mtab calc-last-main-parse-table
)
499 (eq ltab calc-last-lang-parse-table
))
500 (let ((p (append mtab ltab
))
502 (setq calc-user-parse-table p
)
503 (setq calc-user-token-chars nil
)
505 (math-find-user-tokens (car (car p
)))
507 (setq calc-user-tokens
(mapconcat 'identity
508 (sort (mapcar 'car toks
)
509 (function (lambda (x y
)
513 calc-last-main-parse-table mtab
514 calc-last-lang-parse-table ltab
)))))
516 (defun math-find-user-tokens (p) ; uses "toks"
518 (cond ((and (stringp (car p
))
519 (or (> (length (car p
)) 1) (equal (car p
) "$")
520 (equal (car p
) "\""))
521 (string-match "[^a-zA-Z0-9]" (car p
)))
522 (let ((s (regexp-quote (car p
))))
523 (if (string-match "\\`[a-zA-Z0-9]" s
)
524 (setq s
(concat "\\<" s
)))
525 (if (string-match "[a-zA-Z0-9]\\'" s
)
526 (setq s
(concat s
"\\>")))
529 (setq toks
(cons (list s
) toks
))
530 (or (memq (aref (car p
) 0) calc-user-token-chars
)
531 (setq calc-user-token-chars
532 (cons (aref (car p
) 0)
533 calc-user-token-chars
)))))))
535 (math-find-user-tokens (nth 1 (car p
)))
536 (or (eq (car (car p
)) '\?)
537 (math-find-user-tokens (nth 2 (car p
))))))
540 (defun math-read-token ()
541 (if (>= exp-pos
(length exp-str
))
542 (setq exp-old-pos exp-pos
545 (let ((ch (aref exp-str exp-pos
)))
546 (setq exp-old-pos exp-pos
)
547 (cond ((memq ch
'(32 10 9))
548 (setq exp-pos
(1+ exp-pos
))
550 (setq exp-token
'space
553 ((and (memq ch calc-user-token-chars
)
554 (let ((case-fold-search nil
))
555 (eq (string-match calc-user-tokens exp-str exp-pos
)
557 (setq exp-token
'punc
558 exp-data
(math-match-substring exp-str
0)
559 exp-pos
(match-end 0)))
560 ((or (and (>= ch ?a
) (<= ch ?z
))
561 (and (>= ch ?A
) (<= ch ?Z
)))
562 (string-match (if (memq calc-language
'(c fortran pascal maple
))
566 (setq exp-token
'symbol
567 exp-pos
(match-end 0)
568 exp-data
(math-restore-dashes
569 (math-match-substring exp-str
0)))
570 (if (eq calc-language
'eqn
)
571 (let ((code (assoc exp-data math-eqn-ignore-words
)))
575 ((consp (nth 1 code
))
577 (if (assoc exp-data
(cdr code
))
578 (setq exp-data
(format "%s %s"
579 (car code
) exp-data
))))
580 ((eq (nth 1 code
) 'punc
)
581 (setq exp-token
'punc
582 exp-data
(nth 2 code
)))
585 (math-read-token))))))
586 ((or (and (>= ch ?
0) (<= ch ?
9))
588 (eq (string-match "\\.[0-9]" exp-str exp-pos
) exp-pos
))
590 (eq (string-match "_\\.?[0-9]" exp-str exp-pos
) exp-pos
)
592 (and (memq calc-language
'(nil flat big unform
594 (eq (string-match "[^])}\"a-zA-Z0-9'$]_"
595 exp-str
(1- exp-pos
))
597 (or (and (eq calc-language
'c
)
598 (string-match "0[xX][0-9a-fA-F]+" exp-str exp-pos
))
599 (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]+\\)?\"?\\)?" exp-str exp-pos
))
600 (setq exp-token
'number
601 exp-data
(math-match-substring exp-str
0)
602 exp-pos
(match-end 0)))
604 (if (and (eq calc-language
'pascal
)
606 "\\(\\$[0-9a-fA-F]+\\)\\($\\|[^0-9a-zA-Z]\\)"
609 (setq exp-token
'number
610 exp-data
(math-match-substring exp-str
1)
611 exp-pos
(match-end 1))
612 (if (eq (string-match "\\$\\([1-9][0-9]*\\)" exp-str exp-pos
)
614 (setq exp-data
(- (string-to-int (math-match-substring
616 (string-match "\\$+" exp-str exp-pos
)
617 (setq exp-data
(- (match-end 0) (match-beginning 0))))
618 (setq exp-token
'dollar
619 exp-pos
(match-end 0))))
621 (if (eq (string-match "#\\([1-9][0-9]*\\)" exp-str exp-pos
)
623 (setq exp-data
(string-to-int
624 (math-match-substring exp-str
1))
625 exp-pos
(match-end 0))
627 exp-pos
(1+ exp-pos
)))
628 (setq exp-token
'hash
))
629 ((eq (string-match "~=\\|<=\\|>=\\|<>\\|/=\\|\\+/-\\|\\\\dots\\|\\\\ldots\\|\\*\\*\\|<<\\|>>\\|==\\|!=\\|&&&\\||||\\|!!!\\|&&\\|||\\|!!\\|:=\\|::\\|=>"
632 (setq exp-token
'punc
633 exp-data
(math-match-substring exp-str
0)
634 exp-pos
(match-end 0)))
636 (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)" exp-str exp-pos
))
637 (if (eq calc-language
'eqn
)
639 (setq exp-str
(copy-sequence exp-str
))
640 (aset exp-str
(match-beginning 1) ?\
{)
641 (if (< (match-end 1) (length exp-str
))
642 (aset exp-str
(match-end 1) ?\
}))
644 (setq exp-token
'string
645 exp-data
(math-match-substring exp-str
1)
646 exp-pos
(match-end 0))))
647 ((and (= ch ?
\\) (eq calc-language
'tex
)
648 (< exp-pos
(1- (length exp-str
))))
649 (or (string-match "\\\\hbox *{\\([a-zA-Z0-9]+\\)}" exp-str exp-pos
)
650 (string-match "\\(\\\\\\([a-zA-Z]+\\|[^a-zA-Z]\\)\\)" exp-str exp-pos
))
651 (setq exp-token
'symbol
652 exp-pos
(match-end 0)
653 exp-data
(math-restore-dashes
654 (math-match-substring exp-str
1)))
655 (let ((code (assoc exp-data math-tex-ignore-words
)))
659 ((eq (nth 1 code
) 'punc
)
660 (setq exp-token
'punc
661 exp-data
(nth 2 code
)))
662 ((and (eq (nth 1 code
) 'mat
)
663 (string-match " *{" exp-str exp-pos
))
664 (setq exp-pos
(match-end 0)
667 (let ((right (string-match "}" exp-str exp-pos
)))
669 (setq exp-str
(copy-sequence exp-str
))
670 (aset exp-str right ?\
])))))))
671 ((and (= ch ?\.
) (eq calc-language
'fortran
)
672 (eq (string-match "\\.[a-zA-Z][a-zA-Z][a-zA-Z]?\\."
673 exp-str exp-pos
) exp-pos
))
674 (setq exp-token
'punc
675 exp-data
(upcase (math-match-substring exp-str
0))
676 exp-pos
(match-end 0)))
677 ((and (eq calc-language
'math
)
678 (eq (string-match "\\[\\[\\|->\\|:>" exp-str exp-pos
)
680 (setq exp-token
'punc
681 exp-data
(math-match-substring exp-str
0)
682 exp-pos
(match-end 0)))
683 ((and (eq calc-language
'eqn
)
684 (eq (string-match "->\\|<-\\|+-\\|\\\\dots\\|~\\|\\^"
687 (setq exp-token
'punc
688 exp-data
(math-match-substring exp-str
0)
689 exp-pos
(match-end 0))
690 (and (eq (string-match "\\\\dots\\." exp-str exp-pos
) exp-pos
)
691 (setq exp-pos
(match-end 0)))
692 (if (memq (aref exp-data
0) '(?~ ?^
))
694 ((eq (string-match "%%.*$" exp-str exp-pos
) exp-pos
)
695 (setq exp-pos
(match-end 0))
698 (if (and (eq ch ?\
{) (memq calc-language
'(tex eqn
)))
700 (if (and (eq ch ?\
}) (memq calc-language
'(tex eqn
)))
702 (if (and (eq ch ?\
&) (eq calc-language
'tex
))
704 (setq exp-token
'punc
705 exp-data
(char-to-string ch
)
706 exp-pos
(1+ exp-pos
)))))))
709 (defun math-read-expr-level (exp-prec &optional exp-term
)
710 (let* ((x (math-read-factor)) (first t
) op op2
)
711 (while (and (or (and calc-user-parse-table
712 (setq op
(calc-check-user-syntax x exp-prec
))
714 op
'("2x" ident
999999 -
1)))
715 (and (setq op
(assoc exp-data math-expr-opers
))
717 (or (and (setq op2
(assoc
719 (cdr (memq op math-expr-opers
))))
720 (eq (= (nth 3 op
) -
1)
722 (eq (= (nth 3 op2
) -
1)
723 (not (math-factor-after)))
726 (and (or (eq (nth 2 op
) -
1)
727 (memq exp-token
'(symbol number dollar hash
))
729 (and (equal exp-data
"[")
730 (not (eq calc-language
'math
))
731 (not (and exp-keep-spaces
732 (eq (car-safe x
) 'vec
)))))
733 (or (not (setq op
(assoc exp-data math-expr-opers
)))
735 (or (not calc-user-parse-table
)
736 (not (eq exp-token
'symbol
))
737 (let ((p calc-user-parse-table
))
740 (car (car (car p
)))))
742 (nth 1 (car (car p
)))
746 (setq op
(assoc "2x" math-expr-opers
))))
747 (not (and exp-term
(equal exp-data exp-term
)))
748 (>= (nth 2 op
) exp-prec
))
749 (if (not (equal (car op
) "2x"))
751 (and (memq (nth 1 op
) '(sdev mod
))
753 (setq x
(cond ((consp (nth 1 op
))
754 (funcall (car (nth 1 op
)) x op
))
756 (if (eq (nth 1 op
) 'ident
)
758 (if (eq (nth 1 op
) 'closing
)
759 (if (eq (nth 2 op
) exp-prec
)
763 (throw 'syntax
"Mismatched delimiters"))
764 (list (nth 1 op
) x
))))
766 (memq (nth 1 op
) math-alg-inequalities
)
767 (memq (car-safe x
) math-alg-inequalities
))
769 (math-composite-inequalities x op
))
772 (math-read-expr-level (nth 3 op
) exp-term
))))
776 (defun calc-check-user-syntax (&optional x prec
)
777 (let ((p calc-user-parse-table
)
782 (setq rule
(car (car p
)))
784 (and (integerp (car rule
))
787 (car (setq rule
(cdr rule
)))))
788 (equal exp-data
(car rule
)))))
789 (let ((save-exp-pos exp-pos
)
790 (save-exp-old-pos exp-old-pos
)
791 (save-exp-token exp-token
)
792 (save-exp-data exp-data
))
794 (setq matches
(calc-match-user-syntax rule
))))
801 (setq matches
(cons x matches
)))
802 (setq match
(cdr (car p
)))
803 (while (and (eq (car-safe match
)
805 (= (length match
) 3))
806 (setq conds
(append (math-flatten-lands
809 match
(nth 1 match
)))
810 (while (and conds match
)
812 (cond ((eq (car-safe (car conds
))
814 (setq temp
(car conds
))
815 (or (= (length temp
) 3)
816 (and (= (length temp
) 2)
817 (eq (car-safe (nth 1 temp
))
819 (= (length (nth 1 temp
)) 3)
820 (setq temp
(nth 1 temp
)))
828 args
(cons (nth 1 temp
)
830 ((and (eq (car-safe (car conds
))
832 (= (length (car conds
)) 3))
833 (setq temp
(calcFunc-vmatches
837 (nth 2 (car conds
))))
840 (while (setq temp
(cdr temp
))
841 (setq matches
(cons (nth 2 (car temp
))
843 args
(cons (nth 1 (car temp
))
846 (or (math-is-true (math-simplify
851 (setq conds
(cdr conds
)))
853 (not (setq match
(math-multi-subst
854 match args matches
)))
855 (setq exp-old-pos save-exp-old-pos
856 exp-token save-exp-token
857 exp-data save-exp-data
858 exp-pos save-exp-pos
)))))))
862 (defun calc-match-user-syntax (p &optional term
)
864 (save-exp-pos exp-pos
)
865 (save-exp-old-pos exp-old-pos
)
866 (save-exp-token exp-token
)
867 (save-exp-data exp-data
))
869 (cond ((stringp (car p
))
870 (and (equal exp-data
(car p
))
875 (and (setq m
(catch 'syntax
876 (math-read-expr-level
879 (if (consp (nth 1 p
))
880 (car (nth 1 (nth 1 p
)))
884 (setq matches
(nconc matches
(list m
)))))
885 ((eq (car (car p
)) '\?)
886 (setq m
(calc-match-user-syntax (nth 1 (car p
))))
891 (cons 'vec
(and (listp m
) m
))))))
892 (or (listp m
) (not (nth 2 (car p
)))
893 (not (eq (aref (car (nth 2 (car p
))) 0) ?\$
))
894 (eq exp-token
'end
)))
896 (setq m
(calc-match-user-syntax (nth 1 (car p
))
897 (car (nth 2 (car p
)))))
899 (let ((vec (cons 'vec m
))
903 mm
(calc-match-user-syntax
906 (car (nth 2 (car p
))))))
908 (setq vec
(nconc vec mm
)))
909 (setq matches
(nconc matches
(list vec
))))
910 (and (eq (car (car p
)) '*)
911 (setq matches
(nconc matches
(list '(vec)))))))))
914 (setq exp-pos save-exp-pos
915 exp-old-pos save-exp-old-pos
916 exp-token save-exp-token
917 exp-data save-exp-data
921 (defconst math-alg-inequalities
922 '(calcFunc-lt calcFunc-gt calcFunc-leq calcFunc-geq
923 calcFunc-eq calcFunc-neq
))
925 (defun math-remove-dashes (x)
926 (if (string-match "\\`\\(.*\\)-\\(.*\\)\\'" x
)
928 (concat (math-match-substring x
1) "#" (math-match-substring x
2)))
931 (defun math-restore-dashes (x)
932 (if (string-match "\\`\\(.*\\)[#_]\\(.*\\)\\'" x
)
934 (concat (math-match-substring x
1) "-" (math-match-substring x
2)))
937 (defun math-read-if (cond op
)
938 (let ((then (math-read-expr-level 0)))
939 (or (equal exp-data
":")
940 (throw 'syntax
"Expected ':'"))
942 (list 'calcFunc-if cond then
(math-read-expr-level (nth 3 op
)))))
944 (defun math-factor-after ()
945 (let ((exp-pos exp-pos
)
946 exp-old-pos exp-token exp-data
)
948 (or (memq exp-token
'(number symbol dollar hash string
))
949 (and (assoc exp-data
'(("-") ("+") ("!") ("|") ("/")))
950 (assoc (concat "u" exp-data
) math-expr-opers
))
951 (eq (nth 2 (assoc exp-data math-expr-opers
)) -
1)
952 (assoc exp-data
'(("(") ("[") ("{"))))))
954 (defun math-read-factor ()
956 (cond ((eq exp-token
'number
)
957 (let ((num (math-read-number exp-data
)))
960 (setq exp-old-pos exp-pos
)
961 (throw 'syntax
"Bad format")))
963 (if (and math-read-expr-quotes
967 ((and calc-user-parse-table
968 (setq op
(calc-check-user-syntax)))
970 ((or (equal exp-data
"-")
974 (equal exp-data
"/"))
975 (setq exp-data
(concat "u" exp-data
))
977 ((and (setq op
(assoc exp-data math-expr-opers
))
979 (if (consp (nth 1 op
))
980 (funcall (car (nth 1 op
)) op
)
982 (let ((val (math-read-expr-level (nth 3 op
))))
983 (cond ((eq (nth 1 op
) 'ident
)
985 ((and (Math-numberp val
)
986 (equal (car op
) "u-"))
988 (t (list (nth 1 op
) val
))))))
989 ((eq exp-token
'symbol
)
990 (let ((sym (intern exp-data
)))
992 (if (equal exp-data calc-function-open
)
993 (let ((f (assq sym math-expr-function-mapping
)))
996 (funcall (car (cdr f
)) f sym
)
997 (let ((args (if (or (equal exp-data calc-function-close
)
1000 (math-read-expr-list))))
1001 (if (not (or (equal exp-data calc-function-close
)
1002 (eq exp-token
'end
)))
1003 (throw 'syntax
"Expected `)'"))
1005 (if (and (eq calc-language
'fortran
) args
1007 (let ((calc-matrix-mode 'scalar
))
1012 (symbol-name sym
)))))))
1013 (math-parse-fortran-subscr sym args
)
1016 (and (= (aref (symbol-name sym
) 0) ?
\\)
1017 (< (prefix-numeric-value calc-language-option
)
1019 (setq sym
(intern (substring (symbol-name sym
)
1021 (or (string-match "-" (symbol-name sym
))
1024 (symbol-name sym
))))))
1026 (if math-read-expr-quotes
1028 (let ((val (list 'var
1029 (intern (math-remove-dashes
1031 (if (string-match "-" (symbol-name sym
))
1033 (intern (concat "var-"
1034 (symbol-name sym
)))))))
1035 (let ((v (assq (nth 1 val
) math-expr-variable-mapping
)))
1036 (and v
(setq val
(if (consp (cdr v
))
1037 (funcall (car (cdr v
)) v val
)
1040 (substring (symbol-name (cdr v
))
1043 (while (and (memq calc-language
'(c pascal maple
))
1044 (equal exp-data
"["))
1046 (setq val
(append (list 'calcFunc-subscr val
)
1047 (math-read-expr-list)))
1048 (if (equal exp-data
"]")
1050 (throw 'syntax
"Expected ']'")))
1052 ((eq exp-token
'dollar
)
1053 (let ((abs (if (> exp-data
0) exp-data
(- exp-data
))))
1054 (if (>= (length calc-dollar-values
) abs
)
1055 (let ((num exp-data
))
1057 (setq calc-dollar-used
(max calc-dollar-used num
))
1058 (math-check-complete (nth (1- abs
) calc-dollar-values
)))
1059 (throw 'syntax
(if calc-dollar-values
1061 "$'s not allowed in this context")))))
1062 ((eq exp-token
'hash
)
1063 (or calc-hashes-used
1064 (throw 'syntax
"#'s not allowed in this context"))
1066 (if (<= exp-data
(length calc-arg-values
))
1067 (let ((num exp-data
))
1069 (setq calc-hashes-used
(max calc-hashes-used num
))
1070 (nth (1- num
) calc-arg-values
))
1071 (throw 'syntax
"Too many # arguments")))
1072 ((equal exp-data
"(")
1073 (let* ((exp (let ((exp-keep-spaces nil
))
1075 (if (or (equal exp-data
"\\dots")
1076 (equal exp-data
"\\ldots"))
1077 '(neg (var inf var-inf
))
1078 (math-read-expr-level 0)))))
1079 (let ((exp-keep-spaces nil
))
1081 ((equal exp-data
",")
1084 (let ((exp2 (math-read-expr-level 0)))
1086 (if (and exp2
(Math-realp exp
) (Math-realp exp2
))
1087 (math-normalize (list 'cplx exp exp2
))
1088 (list '+ exp
(list '* exp2
'(var i var-i
))))))))
1089 ((equal exp-data
";")
1092 (let ((exp2 (math-read-expr-level 0)))
1093 (setq exp
(if (and exp2
(Math-realp exp
)
1095 (math-normalize (list 'polar exp exp2
))
1100 (math-to-radians-2 exp2
)
1101 '(var i var-i
)))))))))
1102 ((or (equal exp-data
"\\dots")
1103 (equal exp-data
"\\ldots"))
1106 (let ((exp2 (if (or (equal exp-data
")")
1107 (equal exp-data
"]")
1108 (eq exp-token
'end
))
1110 (math-read-expr-level 0))))
1113 (if (equal exp-data
")") 0 1)
1116 (if (not (or (equal exp-data
")")
1117 (and (equal exp-data
"]") (eq (car-safe exp
) 'intv
))
1118 (eq exp-token
'end
)))
1119 (throw 'syntax
"Expected `)'"))
1122 ((eq exp-token
'string
)
1125 ((equal exp-data
"[")
1127 (math-read-brackets t
"]"))
1128 ((equal exp-data
"{")
1130 (math-read-brackets nil
"}"))
1131 ((equal exp-data
"<")
1133 (math-read-angle-brackets))
1134 (t (throw 'syntax
"Expected a number")))))
1136 ;;; calc-aent.el ends here