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 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, or (at your option)
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; see the file COPYING. If not, write to the
23 ;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
24 ;; Boston, MA 02110-1301, USA.
30 ;; This file is autoloaded from calc.el.
35 ;; Declare functions which are defined elsewhere.
36 (declare-function calc-refresh-evaltos
"calc-ext" (&optional which-var
))
37 (declare-function calc-execute-kbd-macro
"calc-prog" (mac arg
&rest prefix
))
38 (declare-function math-is-true
"calc-ext" (expr))
39 (declare-function calc-explain-why
"calc-stuff" (why &optional more
))
40 (declare-function calc-alg-edit
"calc-yank" (str))
41 (declare-function math-composite-inequalities
"calc-prog" (x op
))
42 (declare-function math-flatten-lands
"calc-rewr" (expr))
43 (declare-function math-multi-subst
"calc-map" (expr olds news
))
44 (declare-function calcFunc-vmatches
"calc-rewr" (expr pat
))
45 (declare-function math-simplify
"calc-alg" (top-expr))
46 (declare-function math-known-matrixp
"calc-arith" (a))
47 (declare-function math-parse-fortran-subscr
"calc-lang" (sym args
))
48 (declare-function math-to-radians-2
"calc-math" (a))
49 (declare-function math-read-string
"calc-ext" ())
50 (declare-function math-read-brackets
"calc-vec" (space-sep math-rb-close
))
51 (declare-function math-read-angle-brackets
"calc-forms" ())
52 (declare-function math-to-percentsigns
"calccomp" (x))
54 (defvar calc-quick-calc-history nil
55 "The history list for quick-calc.")
57 (defun calc-do-quick-calc ()
60 (if (eq major-mode
'calc-mode
)
61 (calc-algebraic-entry t
)
65 (let* ((calc-command-flags nil
)
66 (calc-dollar-values calc-quick-prev-results
)
68 (enable-recursive-minibuffers t
)
69 (calc-language (if (memq calc-language
'(nil big
))
71 (entry (calc-do-alg-entry "" "Quick calc: " t
'calc-quick-calc-history
))
72 (alg-exp (mapcar 'math-evaluate-expr entry
)))
73 (when (and (= (length alg-exp
) 1)
74 (eq (car-safe (car alg-exp
)) 'calcFunc-assign
)
75 (= (length (car alg-exp
)) 3)
76 (eq (car-safe (nth 1 (car alg-exp
))) 'var
))
77 (set (nth 2 (nth 1 (car alg-exp
))) (nth 2 (car alg-exp
)))
78 (calc-refresh-evaltos (nth 2 (nth 1 (car alg-exp
))))
79 (setq alg-exp
(list (nth 2 (car alg-exp
)))))
80 (setq calc-quick-prev-results alg-exp
81 buf
(mapconcat (function (lambda (x)
82 (math-format-value x
1000)))
86 (if (and (= (length alg-exp
) 1)
87 (memq (car-safe (car alg-exp
)) '(nil bigpos bigneg
))
89 (= calc-number-radix
10))
90 (setq buf
(concat buf
" ("
91 (let ((calc-number-radix 16))
92 (math-format-value (car alg-exp
) 1000))
94 (let ((calc-number-radix 8))
95 (math-format-value (car alg-exp
) 1000))
97 (let ((calc-number-radix 2))
98 (math-format-value (car alg-exp
) 1000))
99 (if (and (integerp (car alg-exp
))
101 (< (car alg-exp
) 127))
102 (format ", \"%c\"" (car alg-exp
))
105 (if (and (< (length buf
) (frame-width)) (= (length entry
) 1)
106 (featurep 'calc-ext
))
107 (let ((long (concat (math-format-value (car entry
) 1000)
109 (if (<= (length long
) (- (frame-width) 8))
112 (message "Result: %s" buf
)))
113 (if (eq last-command-char
10)
115 (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.
271 (defun calc-auto-algebraic-entry (&optional prefix
)
273 (calc-algebraic-entry prefix t
))
275 (defun calc-algebraic-entry (&optional prefix auto
)
278 (let ((calc-language (if prefix nil calc-language
))
279 (math-expr-opers (if prefix
(math-standard-ops) (math-expr-ops))))
280 (calc-alg-entry (and auto
(char-to-string last-command-char
))))))
282 (defvar calc-alg-entry-history nil
283 "History for algebraic entry.")
285 (defun calc-alg-entry (&optional initial prompt
)
286 (let* ((sel-mode nil
)
287 (calc-dollar-values (mapcar 'calc-get-stack-element
288 (nthcdr calc-stack-top calc-stack
)))
291 (alg-exp (calc-do-alg-entry initial prompt t
'calc-alg-entry-history
)))
292 (if (stringp alg-exp
)
295 (calc-alg-edit alg-exp
))
296 (let* ((calc-simplify-mode (if (eq last-command-char ?\C-j
)
299 (nvals (mapcar 'calc-normalize alg-exp
)))
301 (calc-record (if (featurep 'calc-ext
) (car alg-exp
) (car nvals
))
303 (calc-pop-push-record-list calc-dollar-used
304 (and (not (equal (car alg-exp
)
309 (setq alg-exp
(cdr alg-exp
)
311 calc-dollar-used
0)))
312 (calc-handle-whys))))
314 (defvar calc-alg-ent-map nil
315 "The keymap used for algebraic entry.")
317 (defvar calc-alg-ent-esc-map nil
318 "The keymap used for escapes in algebraic entry.")
320 (defvar calc-alg-exp
)
322 (defun calc-do-alg-entry (&optional initial prompt no-normalize history
)
323 (let* ((calc-buffer (current-buffer))
324 (blink-paren-function 'calcAlg-blink-matching-open
)
325 (calc-alg-exp 'error
))
326 (unless calc-alg-ent-map
327 (setq calc-alg-ent-map
(copy-keymap minibuffer-local-map
))
328 (define-key calc-alg-ent-map
"'" 'calcAlg-previous
)
329 (define-key calc-alg-ent-map
"`" 'calcAlg-edit
)
330 (define-key calc-alg-ent-map
"\C-m" 'calcAlg-enter
)
331 (define-key calc-alg-ent-map
"\C-j" 'calcAlg-enter
)
333 (setq calc-alg-ent-esc-map
(copy-keymap esc-map
))
335 (aset (nth 1 calc-alg-ent-esc-map
) i
'calcAlg-escape
)
337 (define-key calc-alg-ent-map
"\e" nil
)
338 (if (eq calc-algebraic-mode
'total
)
339 (define-key calc-alg-ent-map
"\e" calc-alg-ent-esc-map
)
340 (define-key calc-alg-ent-map
"\e+" 'calcAlg-plus-minus
)
341 (define-key calc-alg-ent-map
"\em" 'calcAlg-mod
)
342 (define-key calc-alg-ent-map
"\e=" 'calcAlg-equals
)
343 (define-key calc-alg-ent-map
"\e\r" 'calcAlg-equals
)
344 (define-key calc-alg-ent-map
"\ep" 'previous-history-element
)
345 (define-key calc-alg-ent-map
"\en" 'next-history-element
)
346 (define-key calc-alg-ent-map
"\e%" 'self-insert-command
))
347 (setq calc-aborted-prefix nil
)
348 (let ((buf (read-from-minibuffer (or prompt
"Algebraic: ")
350 calc-alg-ent-map nil history
)))
351 (when (eq calc-alg-exp
'error
)
352 (when (eq (car-safe (setq calc-alg-exp
(math-read-exprs buf
))) 'error
)
353 (setq calc-alg-exp nil
)))
354 (setq calc-aborted-prefix
"alg'")
356 (and calc-alg-exp
(setq calc-alg-exp
(mapcar 'calc-normalize calc-alg-exp
))))
359 (defun calcAlg-plus-minus ()
361 (if (calc-minibuffer-contains ".* \\'")
365 (defun calcAlg-mod ()
367 (if (not (calc-minibuffer-contains ".* \\'"))
369 (if (calc-minibuffer-contains ".* mod +\\'")
370 (if calc-previous-modulo
371 (insert (math-format-flat-expr calc-previous-modulo
0))
375 (defun calcAlg-previous ()
377 (if (calc-minibuffer-contains "\\'")
378 (previous-history-element 1)
381 (defun calcAlg-equals ()
385 (if (consp calc-alg-exp
)
386 (progn (setq prefix-arg
(length calc-alg-exp
))
387 (calc-unread-command ?
=)))))
389 (defun calcAlg-escape ()
391 (calc-unread-command)
394 (use-local-map calc-mode-map
))
397 (defvar calc-plain-entry nil
)
398 (defun calcAlg-edit ()
400 (if (or (not calc-plain-entry
)
401 (calc-minibuffer-contains
402 "\\`\\([^\"]*\"[^\"]*\"\\)*[^\"]*\"[^\"]*\\'"))
404 (setq calc-alg-exp
(minibuffer-contents))
409 (defun calcAlg-enter ()
411 (let* ((str (minibuffer-contents))
412 (exp (and (> (length str
) 0)
414 (set-buffer calc-buffer
)
415 (math-read-exprs str
)))))
416 (if (eq (car-safe exp
) 'error
)
418 (goto-char (minibuffer-prompt-end))
419 (forward-char (nth 1 exp
))
421 (calc-temp-minibuffer-message
422 (concat " [" (or (nth 2 exp
) "Error") "]"))
423 (calc-clear-unread-commands))
424 (setq calc-alg-exp
(if (calc-minibuffer-contains "\\` *\\[ *\\'")
429 (defun calcAlg-blink-matching-open ()
430 (let ((rightpt (point))
432 (rightchar (preceding-char))
438 (setq leftpt
(scan-sexps rightpt -
1)
439 leftchar
(char-after leftpt
))
442 (or (and (= rightchar ?\
))
444 (and (= rightchar ?\
])
448 (looking-at ".+\\(\\.\\.\\|\\\\dots\\|\\\\ldots\\)")))
449 (let ((leftsaved (aref (syntax-table) leftchar
))
450 (rightsaved (aref (syntax-table) rightchar
)))
453 (cond ((= leftchar ?\
[)
454 (aset (syntax-table) leftchar
(cons 4 ?\
)))
455 (aset (syntax-table) rightchar
(cons 5 ?\
[)))
457 (aset (syntax-table) leftchar
(cons 4 ?\
]))
458 (aset (syntax-table) rightchar
(cons 5 ?\
())))
459 (blink-matching-open))
460 (aset (syntax-table) leftchar leftsaved
)
461 (aset (syntax-table) rightchar rightsaved
)))
462 (blink-matching-open))))
464 (defun calc-alg-digit-entry ()
466 (cond ((eq last-command-char ?e
)
467 (if (> calc-number-radix
14) (format "%d.^" calc-number-radix
) "1e"))
468 ((eq last-command-char ?
#) (format "%d#" calc-number-radix
))
469 ((eq last-command-char ?_
) "-")
470 ((eq last-command-char ?
@) "0@ ")
471 (t (char-to-string last-command-char
)))))
473 ;; The variable calc-digit-value is initially declared in calc.el,
474 ;; but can be set by calcDigit-algebraic and calcDigit-edit.
475 (defvar calc-digit-value
)
477 (defun calcDigit-algebraic ()
479 (if (calc-minibuffer-contains ".*[@oh] *[^'m ]+[^'m]*\\'")
481 (setq calc-digit-value
(minibuffer-contents))
484 (defun calcDigit-edit ()
486 (calc-unread-command)
487 (setq calc-digit-value
(minibuffer-contents))
491 ;;; Algebraic expression parsing. [Public]
493 (defvar math-read-replacement-list
495 ("±" "+/-") ; plus or minus
496 ("×" "*") ; multiplication sign
497 ("÷" ":") ; division sign
498 ("−" "-") ; subtraction sign
499 ("∕" "/") ; division sign
500 ("∗" "*") ; asterisk multiplication
501 ("∞" "inf") ; infinity symbol
555 "A list whose elements (old new) indicate replacements to make
556 in Calc algebraic input.")
558 (defvar math-read-superscripts
559 "⁰¹²³⁴⁵⁶⁷⁸⁹⁺⁻⁽⁾ⁿⁱ" ; 0123456789+-()ni
560 "A string consisting of the superscripts allowed by Calc.")
562 (defvar math-read-subscripts
563 "₀₁₂₃₄₅₆₇₈₉₊₋₍₎" ; 0123456789+-()
564 "A string consisting of the subscripts allowed by Calc.")
566 (defun math-read-preprocess-string (str)
567 "Replace some substrings of STR by Calc equivalents."
569 (replace-regexp-in-string (concat "[" math-read-superscripts
"]+")
572 (replace-regexp-in-string (concat "[" math-read-subscripts
"]+")
574 (let ((rep-list math-read-replacement-list
))
577 (replace-regexp-in-string (nth 0 (car rep-list
))
578 (nth 1 (car rep-list
)) str
))
579 (setq rep-list
(cdr rep-list
))))
582 ;; The next few variables are local to math-read-exprs (and math-read-expr
583 ;; in calc-ext.el), but are set in functions they call.
585 (defvar math-exp-pos
)
586 (defvar math-exp-str
)
587 (defvar math-exp-old-pos
)
588 (defvar math-exp-token
)
589 (defvar math-exp-keep-spaces
)
590 (defvar math-expr-data
)
592 (defun math-read-exprs (math-exp-str)
593 (let ((math-exp-pos 0)
595 (math-exp-keep-spaces nil
)
596 math-exp-token math-expr-data
)
597 (setq math-exp-str
(math-read-preprocess-string math-exp-str
))
598 (if (memq calc-language calc-lang-allow-percentsigns
)
599 (setq math-exp-str
(math-remove-percentsigns math-exp-str
)))
600 (if calc-language-input-filter
601 (setq math-exp-str
(funcall calc-language-input-filter math-exp-str
)))
602 (while (setq math-exp-token
603 (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str
))
605 (concat (substring math-exp-str
0 math-exp-token
) "\\dots"
606 (substring math-exp-str
(+ math-exp-token
2)))))
607 (math-build-parse-table)
609 (let ((val (catch 'syntax
(math-read-expr-list))))
611 (list 'error math-exp-old-pos val
)
612 (if (equal math-exp-token
'end
)
614 (list 'error math-exp-old-pos
"Syntax error"))))))
616 (defun math-read-expr-list ()
617 (let* ((math-exp-keep-spaces nil
)
618 (val (list (math-read-expr-level 0)))
620 (while (equal math-expr-data
",")
622 (let ((rest (list (math-read-expr-level 0))))
627 (defvar calc-user-parse-table nil
)
628 (defvar calc-last-main-parse-table nil
)
629 (defvar calc-last-user-lang-parse-table nil
)
630 (defvar calc-last-lang-parse-table nil
)
631 (defvar calc-user-tokens nil
)
632 (defvar calc-user-token-chars nil
)
634 (defvar math-toks nil
635 "Tokens to pass between math-build-parse-table and math-find-user-tokens.")
637 (defun math-build-parse-table ()
638 (let ((mtab (cdr (assq nil calc-user-parse-tables
)))
639 (ltab (cdr (assq calc-language calc-user-parse-tables
)))
640 (lltab (get calc-language
'math-parse-table
)))
641 (or (and (eq mtab calc-last-main-parse-table
)
642 (eq ltab calc-last-user-lang-parse-table
)
643 (eq lltab calc-last-lang-parse-table
))
644 (let ((p (append mtab ltab lltab
))
646 (setq calc-user-parse-table p
)
647 (setq calc-user-token-chars nil
)
649 (math-find-user-tokens (car (car p
)))
651 (setq calc-user-tokens
(mapconcat 'identity
652 (sort (mapcar 'car math-toks
)
653 (function (lambda (x y
)
657 calc-last-main-parse-table mtab
658 calc-last-user-lang-parse-table ltab
659 calc-last-lang-parse-table lltab
)))))
661 (defun math-find-user-tokens (p)
663 (cond ((and (stringp (car p
))
664 (or (> (length (car p
)) 1) (equal (car p
) "$")
665 (equal (car p
) "\""))
666 (string-match "[^a-zA-Z0-9]" (car p
)))
667 (let ((s (regexp-quote (car p
))))
668 (if (string-match "\\`[a-zA-Z0-9]" s
)
669 (setq s
(concat "\\<" s
)))
670 (if (string-match "[a-zA-Z0-9]\\'" s
)
671 (setq s
(concat s
"\\>")))
672 (or (assoc s math-toks
)
674 (setq math-toks
(cons (list s
) math-toks
))
675 (or (memq (aref (car p
) 0) calc-user-token-chars
)
676 (setq calc-user-token-chars
677 (cons (aref (car p
) 0)
678 calc-user-token-chars
)))))))
680 (math-find-user-tokens (nth 1 (car p
)))
681 (or (eq (car (car p
)) '\?)
682 (math-find-user-tokens (nth 2 (car p
))))))
685 (defun math-read-token ()
686 (if (>= math-exp-pos
(length math-exp-str
))
687 (setq math-exp-old-pos math-exp-pos
689 math-expr-data
"\000")
691 (ch (aref math-exp-str math-exp-pos
)))
692 (setq math-exp-old-pos math-exp-pos
)
693 (cond ((memq ch
'(32 10 9))
694 (setq math-exp-pos
(1+ math-exp-pos
))
695 (if math-exp-keep-spaces
696 (setq math-exp-token
'space
699 ((and (memq ch calc-user-token-chars
)
700 (let ((case-fold-search nil
))
702 calc-user-tokens math-exp-str math-exp-pos
)
704 (setq math-exp-token
'punc
705 math-expr-data
(math-match-substring math-exp-str
0)
706 math-exp-pos
(match-end 0)))
707 ((or (and (>= ch ?a
) (<= ch ?z
))
708 (and (>= ch ?A
) (<= ch ?Z
)))
711 ((and (memq calc-language calc-lang-allow-underscores
)
712 (memq calc-language calc-lang-allow-percentsigns
))
714 ((memq calc-language calc-lang-allow-underscores
)
716 (t "[a-zA-Z0-9'#]*"))
717 math-exp-str math-exp-pos
)
718 (setq math-exp-token
'symbol
719 math-exp-pos
(match-end 0)
720 math-expr-data
(math-restore-dashes
721 (math-match-substring math-exp-str
0)))
722 (if (setq adfn
(get calc-language
'math-lang-adjust-words
))
724 ((or (and (>= ch ?
0) (<= ch ?
9))
726 (eq (string-match "\\.[0-9]" math-exp-str math-exp-pos
)
729 (eq (string-match "_\\.?[0-9]" math-exp-str math-exp-pos
)
731 (or (eq math-exp-pos
0)
732 (and (not (memq calc-language
733 calc-lang-allow-underscores
))
734 (eq (string-match "[^])}\"a-zA-Z0-9'$]_"
735 math-exp-str
(1- math-exp-pos
))
736 (1- math-exp-pos
))))))
737 (or (and (memq calc-language calc-lang-c-type-hex
)
738 (string-match "0[xX][0-9a-fA-F]+" math-exp-str math-exp-pos
))
739 (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]+\\)?\"?\\)?"
740 math-exp-str math-exp-pos
))
741 (setq math-exp-token
'number
742 math-expr-data
(math-match-substring math-exp-str
0)
743 math-exp-pos
(match-end 0)))
745 (assq ch
(get calc-language
'math-lang-read-symbol
)))
749 (if (eq (string-match "\\$\\([1-9][0-9]*\\)" math-exp-str math-exp-pos
)
751 (setq math-expr-data
(- (string-to-number (math-match-substring
753 (string-match "\\$+" math-exp-str math-exp-pos
)
754 (setq math-expr-data
(- (match-end 0) (match-beginning 0))))
755 (setq math-exp-token
'dollar
756 math-exp-pos
(match-end 0)))
758 (if (eq (string-match "#\\([1-9][0-9]*\\)" math-exp-str math-exp-pos
)
760 (setq math-expr-data
(string-to-number
761 (math-match-substring math-exp-str
1))
762 math-exp-pos
(match-end 0))
763 (setq math-expr-data
1
764 math-exp-pos
(1+ math-exp-pos
)))
765 (setq math-exp-token
'hash
))
766 ((eq (string-match "~=\\|<=\\|>=\\|<>\\|/=\\|\\+/-\\|\\\\dots\\|\\\\ldots\\|\\*\\*\\|<<\\|>>\\|==\\|!=\\|&&&\\||||\\|!!!\\|&&\\|||\\|!!\\|:=\\|::\\|=>"
767 math-exp-str math-exp-pos
)
769 (setq math-exp-token
'punc
770 math-expr-data
(math-match-substring math-exp-str
0)
771 math-exp-pos
(match-end 0)))
773 (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)"
774 math-exp-str math-exp-pos
))
775 (setq math-exp-token
'string
776 math-expr-data
(math-match-substring math-exp-str
1)
777 math-exp-pos
(match-end 0)))
778 ((and (setq adfn
(get calc-language
'math-lang-read
))
780 (eval (nth 1 adfn
))))
781 ((eq (string-match "%%.*$" math-exp-str math-exp-pos
) math-exp-pos
)
782 (setq math-exp-pos
(match-end 0))
785 (if (setq adfn
(assq ch
(get calc-language
'math-punc-table
)))
786 (setq ch
(cdr adfn
)))
787 (setq math-exp-token
'punc
788 math-expr-data
(char-to-string ch
)
789 math-exp-pos
(1+ math-exp-pos
)))))))
791 (defconst math-alg-inequalities
792 '(calcFunc-lt calcFunc-gt calcFunc-leq calcFunc-geq
793 calcFunc-eq calcFunc-neq
))
795 (defun math-read-expr-level (exp-prec &optional exp-term
)
796 (let* ((math-expr-opers (math-expr-ops))
797 (x (math-read-factor))
800 (while (and (or (and calc-user-parse-table
801 (setq op
(calc-check-user-syntax x exp-prec
))
803 op
'("2x" ident
999999 -
1)))
804 (and (setq op
(assoc math-expr-data math-expr-opers
))
806 (or (and (setq op2
(assoc
808 (cdr (memq op math-expr-opers
))))
809 (eq (= (nth 3 op
) -
1)
811 (eq (= (nth 3 op2
) -
1)
812 (not (math-factor-after)))
815 (and (or (eq (nth 2 op
) -
1)
816 (memq math-exp-token
'(symbol number dollar hash
))
817 (equal math-expr-data
"(")
818 (and (equal math-expr-data
"[")
821 'math-function-open
) "["))
822 (not (and math-exp-keep-spaces
823 (eq (car-safe x
) 'vec
)))))
824 (or (not (setq op
(assoc math-expr-data math-expr-opers
)))
826 (or (not calc-user-parse-table
)
827 (not (eq math-exp-token
'symbol
))
828 (let ((p calc-user-parse-table
))
831 (car (car (car p
)))))
833 (nth 1 (car (car p
)))
837 (setq op
(assoc "2x" math-expr-opers
))))
838 (not (and exp-term
(equal math-expr-data exp-term
)))
839 (>= (nth 2 op
) exp-prec
))
840 (if (not (equal (car op
) "2x"))
842 (and (memq (nth 1 op
) '(sdev mod
))
844 (setq x
(cond ((consp (nth 1 op
))
845 (funcall (car (nth 1 op
)) x op
))
847 (if (eq (nth 1 op
) 'ident
)
849 (if (eq (nth 1 op
) 'closing
)
850 (if (eq (nth 2 op
) exp-prec
)
854 (throw 'syntax
"Mismatched delimiters"))
855 (list (nth 1 op
) x
))))
857 (memq (nth 1 op
) math-alg-inequalities
)
858 (memq (car-safe x
) math-alg-inequalities
))
860 (math-composite-inequalities x op
))
863 (math-read-expr-level (nth 3 op
) exp-term
))))
867 ;; calc-arg-values is defined in calc-ext.el, but is used here.
868 (defvar calc-arg-values
)
870 (defun calc-check-user-syntax (&optional x prec
)
871 (let ((p calc-user-parse-table
)
876 (setq rule
(car (car p
)))
878 (and (integerp (car rule
))
880 (equal math-expr-data
881 (car (setq rule
(cdr rule
)))))
882 (equal math-expr-data
(car rule
)))))
883 (let ((save-exp-pos math-exp-pos
)
884 (save-exp-old-pos math-exp-old-pos
)
885 (save-exp-token math-exp-token
)
886 (save-exp-data math-expr-data
))
888 (setq matches
(calc-match-user-syntax rule
))))
895 (setq matches
(cons x matches
)))
896 (setq match
(cdr (car p
)))
897 (while (and (eq (car-safe match
)
899 (= (length match
) 3))
900 (setq conds
(append (math-flatten-lands
903 match
(nth 1 match
)))
904 (while (and conds match
)
906 (cond ((eq (car-safe (car conds
))
908 (setq temp
(car conds
))
909 (or (= (length temp
) 3)
910 (and (= (length temp
) 2)
911 (eq (car-safe (nth 1 temp
))
913 (= (length (nth 1 temp
)) 3)
914 (setq temp
(nth 1 temp
)))
922 args
(cons (nth 1 temp
)
924 ((and (eq (car-safe (car conds
))
926 (= (length (car conds
)) 3))
927 (setq temp
(calcFunc-vmatches
931 (nth 2 (car conds
))))
934 (while (setq temp
(cdr temp
))
935 (setq matches
(cons (nth 2 (car temp
))
937 args
(cons (nth 1 (car temp
))
940 (or (math-is-true (math-simplify
945 (setq conds
(cdr conds
)))
947 (not (setq match
(math-multi-subst
948 match args matches
)))
949 (setq math-exp-old-pos save-exp-old-pos
950 math-exp-token save-exp-token
951 math-expr-data save-exp-data
952 math-exp-pos save-exp-pos
)))))))
956 (defun calc-match-user-syntax (p &optional term
)
958 (save-exp-pos math-exp-pos
)
959 (save-exp-old-pos math-exp-old-pos
)
960 (save-exp-token math-exp-token
)
961 (save-exp-data math-expr-data
)
964 (cond ((stringp (car p
))
965 (and (equal math-expr-data
(car p
))
970 (and (setq m
(catch 'syntax
971 (math-read-expr-level
974 (if (consp (nth 1 p
))
975 (car (nth 1 (nth 1 p
)))
979 (setq matches
(nconc matches
(list m
)))))
980 ((eq (car (car p
)) '\?)
981 (setq m
(calc-match-user-syntax (nth 1 (car p
))))
986 (cons 'vec
(and (listp m
) m
))))))
987 (or (listp m
) (not (nth 2 (car p
)))
988 (not (eq (aref (car (nth 2 (car p
))) 0) ?\$
))
989 (eq math-exp-token
'end
)))
991 (setq m
(calc-match-user-syntax (nth 1 (car p
))
992 (car (nth 2 (car p
)))))
994 (let ((vec (cons 'vec m
))
997 (setq opos math-exp-pos
998 mm
(calc-match-user-syntax
1001 (car (nth 2 (car p
))))))
1002 (> math-exp-pos opos
))
1003 (setq vec
(nconc vec mm
)))
1004 (setq matches
(nconc matches
(list vec
))))
1005 (and (eq (car (car p
)) '*)
1006 (setq matches
(nconc matches
(list '(vec)))))))))
1009 (setq math-exp-pos save-exp-pos
1010 math-exp-old-pos save-exp-old-pos
1011 math-exp-token save-exp-token
1012 math-expr-data save-exp-data
1016 (defun math-remove-dashes (x)
1017 (if (string-match "\\`\\(.*\\)-\\(.*\\)\\'" x
)
1019 (concat (math-match-substring x
1) "#" (math-match-substring x
2)))
1022 (defun math-remove-percentsigns (x)
1023 (if (string-match "\\`\\(.*\\)%\\(.*\\)\\'" x
)
1024 (math-remove-percentsigns
1025 (concat (math-match-substring x
1) "o'o" (math-match-substring x
2)))
1028 (defun math-restore-dashes (x)
1029 (if (string-match "\\`\\(.*\\)[#_]\\(.*\\)\\'" x
)
1030 (math-restore-dashes
1031 (concat (math-match-substring x
1) "-" (math-match-substring x
2)))
1034 (defun math-restore-placeholders (x)
1035 "Replace placeholders by the proper characters in the symbol x.
1036 This includes `#' for `_' and `'' for `%'.
1037 If the current Calc language does not use placeholders, return nil."
1038 (if (or (memq calc-language calc-lang-allow-underscores
)
1039 (memq calc-language calc-lang-allow-percentsigns
))
1040 (let ((sx (symbol-name x
)))
1041 (when (memq calc-language calc-lang-allow-percentsigns
)
1043 (setq sx
(math-to-percentsigns sx
)))
1044 (if (memq calc-language calc-lang-allow-underscores
)
1045 (setq sx
(math-string-restore-underscores sx
)))
1048 (defun math-string-restore-underscores (x)
1049 "Replace pound signs by underscores in the string x."
1050 (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x
)
1051 (math-string-restore-underscores
1052 (concat (math-match-substring x
1) "_" (math-match-substring x
2)))
1055 (defun math-read-if (cond op
)
1056 (let ((then (math-read-expr-level 0)))
1057 (or (equal math-expr-data
":")
1058 (throw 'syntax
"Expected ':'"))
1060 (list 'calcFunc-if cond then
(math-read-expr-level (nth 3 op
)))))
1062 (defun math-factor-after ()
1063 (let ((math-exp-pos math-exp-pos
)
1064 math-exp-old-pos math-exp-token math-expr-data
)
1066 (or (memq math-exp-token
'(number symbol dollar hash string
))
1067 (and (assoc math-expr-data
'(("-") ("+") ("!") ("|") ("/")))
1068 (assoc (concat "u" math-expr-data
) math-expr-opers
))
1069 (eq (nth 2 (assoc math-expr-data math-expr-opers
)) -
1)
1070 (assoc math-expr-data
'(("(") ("[") ("{"))))))
1072 (defun math-read-factor ()
1073 (let ((math-expr-opers (math-expr-ops))
1075 (cond ((eq math-exp-token
'number
)
1076 (let ((num (math-read-number math-expr-data
)))
1079 (setq math-exp-old-pos math-exp-pos
)
1080 (throw 'syntax
"Bad format")))
1082 (if (and math-read-expr-quotes
1086 ((and calc-user-parse-table
1087 (setq op
(calc-check-user-syntax)))
1089 ((or (equal math-expr-data
"-")
1090 (equal math-expr-data
"+")
1091 (equal math-expr-data
"!")
1092 (equal math-expr-data
"|")
1093 (equal math-expr-data
"/"))
1094 (setq math-expr-data
(concat "u" math-expr-data
))
1096 ((and (setq op
(assoc math-expr-data math-expr-opers
))
1098 (if (consp (nth 1 op
))
1099 (funcall (car (nth 1 op
)) op
)
1101 (let ((val (math-read-expr-level (nth 3 op
))))
1102 (cond ((eq (nth 1 op
) 'ident
)
1104 ((and (Math-numberp val
)
1105 (equal (car op
) "u-"))
1107 (t (list (nth 1 op
) val
))))))
1108 ((eq math-exp-token
'symbol
)
1109 (let ((sym (intern math-expr-data
)))
1111 (if (equal math-expr-data calc-function-open
)
1112 (let ((f (assq sym math-expr-function-mapping
)))
1115 (funcall (car (cdr f
)) f sym
)
1116 (let ((args (if (or (equal math-expr-data calc-function-close
)
1117 (eq math-exp-token
'end
))
1119 (math-read-expr-list))))
1120 (if (not (or (equal math-expr-data calc-function-close
)
1121 (eq math-exp-token
'end
)))
1122 (throw 'syntax
"Expected `)'"))
1124 (if (and (memq calc-language
1125 calc-lang-parens-are-subscripts
)
1128 (let ((calc-matrix-mode 'scalar
))
1133 (symbol-name sym
)))))))
1134 (math-parse-fortran-subscr sym args
)
1137 (and (= (aref (symbol-name sym
) 0) ?
\\)
1138 (< (prefix-numeric-value calc-language-option
)
1140 (setq sym
(intern (substring (symbol-name sym
)
1142 (or (string-match "-" (symbol-name sym
))
1145 (symbol-name sym
))))))
1147 (if math-read-expr-quotes
1149 (let ((val (list 'var
1150 (intern (math-remove-dashes
1152 (if (string-match "-" (symbol-name sym
))
1154 (intern (concat "var-"
1155 (symbol-name sym
)))))))
1157 (assq (nth 1 val
) math-expr-variable-mapping
)
1158 (assq (math-restore-placeholders (nth 1 val
))
1159 math-expr-variable-mapping
))))
1160 (and v
(setq val
(if (consp (cdr v
))
1161 (funcall (car (cdr v
)) v val
)
1164 (substring (symbol-name (cdr v
))
1167 (while (and (memq calc-language
1168 calc-lang-brackets-are-subscripts
)
1169 (equal math-expr-data
"["))
1171 (let ((el (math-read-expr-list)))
1173 (setq val
(append (list 'calcFunc-subscr val
)
1175 (setq el
(cdr el
))))
1176 (if (equal math-expr-data
"]")
1178 (throw 'syntax
"Expected ']'")))
1180 ((eq math-exp-token
'dollar
)
1181 (let ((abs (if (> math-expr-data
0) math-expr-data
(- math-expr-data
))))
1182 (if (>= (length calc-dollar-values
) abs
)
1183 (let ((num math-expr-data
))
1185 (setq calc-dollar-used
(max calc-dollar-used num
))
1186 (math-check-complete (nth (1- abs
) calc-dollar-values
)))
1187 (throw 'syntax
(if calc-dollar-values
1189 "$'s not allowed in this context")))))
1190 ((eq math-exp-token
'hash
)
1191 (or calc-hashes-used
1192 (throw 'syntax
"#'s not allowed in this context"))
1194 (if (<= math-expr-data
(length calc-arg-values
))
1195 (let ((num math-expr-data
))
1197 (setq calc-hashes-used
(max calc-hashes-used num
))
1198 (nth (1- num
) calc-arg-values
))
1199 (throw 'syntax
"Too many # arguments")))
1200 ((equal math-expr-data
"(")
1201 (let* ((exp (let ((math-exp-keep-spaces nil
))
1203 (if (or (equal math-expr-data
"\\dots")
1204 (equal math-expr-data
"\\ldots"))
1205 '(neg (var inf var-inf
))
1206 (math-read-expr-level 0)))))
1207 (let ((math-exp-keep-spaces nil
))
1209 ((equal math-expr-data
",")
1212 (let ((exp2 (math-read-expr-level 0)))
1214 (if (and exp2
(Math-realp exp
) (Math-realp exp2
))
1215 (math-normalize (list 'cplx exp exp2
))
1216 (list '+ exp
(list '* exp2
'(var i var-i
))))))))
1217 ((equal math-expr-data
";")
1220 (let ((exp2 (math-read-expr-level 0)))
1221 (setq exp
(if (and exp2
(Math-realp exp
)
1223 (math-normalize (list 'polar exp exp2
))
1228 (math-to-radians-2 exp2
)
1229 '(var i var-i
)))))))))
1230 ((or (equal math-expr-data
"\\dots")
1231 (equal math-expr-data
"\\ldots"))
1234 (let ((exp2 (if (or (equal math-expr-data
")")
1235 (equal math-expr-data
"]")
1236 (eq math-exp-token
'end
))
1238 (math-read-expr-level 0))))
1241 (if (equal math-expr-data
")") 0 1)
1244 (if (not (or (equal math-expr-data
")")
1245 (and (equal math-expr-data
"]") (eq (car-safe exp
) 'intv
))
1246 (eq math-exp-token
'end
)))
1247 (throw 'syntax
"Expected `)'"))
1250 ((eq math-exp-token
'string
)
1253 ((equal math-expr-data
"[")
1255 (math-read-brackets t
"]"))
1256 ((equal math-expr-data
"{")
1258 (math-read-brackets nil
"}"))
1259 ((equal math-expr-data
"<")
1261 (math-read-angle-brackets))
1262 (t (throw 'syntax
"Expected a number")))))
1264 (provide 'calc-aent
)
1266 ;;; arch-tag: 5599e45d-e51e-44bb-9a20-9f4ed8c96c32
1267 ;;; calc-aent.el ends here