1 ;;; calc-lang.el --- calc language functions
3 ;; Copyright (C) 1990-1993, 2001-2015 Free Software Foundation, Inc.
5 ;; Author: David Gillespie <daveg@synaptics.com>
6 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
8 ;; This file is part of GNU Emacs.
10 ;; GNU Emacs is free software: you can redistribute it and/or modify
11 ;; it under the terms of the GNU General Public License as published by
12 ;; the Free Software Foundation, either version 3 of the License, or
13 ;; (at your option) any later version.
15 ;; GNU Emacs is distributed in the hope that it will be useful,
16 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
17 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
18 ;; GNU General Public License for more details.
20 ;; You should have received a copy of the GNU General Public License
21 ;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
27 ;; This file is autoloaded from calc-ext.el.
33 ;; Declare functions which are defined elsewhere.
34 (declare-function math-compose-vector "calccomp" (a sep prec))
35 (declare-function math-compose-var "calccomp" (a))
36 (declare-function math-tex-expr-is-flat "calccomp" (a))
37 (declare-function math-read-factor "calc-aent" ())
38 (declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term))
40 ;; Declare variables which are defined elsewhere.
41 (defvar calc-lang-slash-idiv)
42 (defvar calc-lang-allow-underscores)
43 (defvar calc-lang-allow-percentsigns)
44 (defvar math-comp-left-bracket)
45 (defvar math-comp-right-bracket)
46 (defvar math-comp-comma)
47 (defvar math-comp-vector-prec)
49 ;;; Alternate entry/display languages.
51 (defun calc-set-language (lang &optional option no-refresh)
52 (setq math-expr-opers (or (get lang 'math-oper-table) (math-standard-ops))
53 math-expr-function-mapping (get lang 'math-function-table)
54 math-expr-variable-mapping (get lang 'math-variable-table)
55 calc-language-input-filter (get lang 'math-input-filter)
56 calc-language-output-filter (get lang 'math-output-filter)
57 calc-vector-brackets (or (get lang 'math-vector-brackets) "[]")
58 calc-complex-format (get lang 'math-complex-format)
59 calc-radix-formatter (get lang 'math-radix-formatter)
60 calc-function-open (or (get lang 'math-function-open) "(")
61 calc-function-close (or (get lang 'math-function-close) ")"))
63 (setq calc-language lang
64 calc-language-option option)
65 (calc-change-mode '(calc-language calc-language-option)
66 (list lang option) t)))
68 (defun calc-normal-language ()
71 (calc-set-language nil)
72 (message "Normal language mode")))
74 (defun calc-flat-language ()
77 (calc-set-language 'flat)
78 (message "Flat language mode (all stack entries shown on one line)")))
80 (defun calc-big-language ()
83 (calc-set-language 'big)
84 (message "\"Big\" language mode")))
86 (defun calc-unformatted-language ()
89 (calc-set-language 'unform)
90 (message "Unformatted language mode")))
93 (defun calc-c-language ()
96 (calc-set-language 'c)
97 (message "`C' language mode")))
99 (put 'c 'math-oper-table
100 '( ( "u!" calcFunc-lnot -1 1000 )
101 ( "~" calcFunc-not -1 1000 )
102 ( "u+" ident -1 197 )
109 ( "<<" calcFunc-lsh 170 171 )
110 ( ">>" calcFunc-rsh 170 171 )
111 ( "<" calcFunc-lt 160 161 )
112 ( ">" calcFunc-gt 160 161 )
113 ( "<=" calcFunc-leq 160 161 )
114 ( ">=" calcFunc-geq 160 161 )
115 ( "==" calcFunc-eq 150 151 )
116 ( "!=" calcFunc-neq 150 151 )
117 ( "&" calcFunc-and 140 141 )
118 ( "^" calcFunc-xor 131 130 )
119 ( "|" calcFunc-or 120 121 )
120 ( "&&" calcFunc-land 110 111 )
121 ( "||" calcFunc-lor 100 101 )
122 ( "?" (math-read-if) 91 90 )
123 ( "!!!" calcFunc-pnot -1 88 )
124 ( "&&&" calcFunc-pand 85 86 )
125 ( "|||" calcFunc-por 75 76 )
126 ( "=" calcFunc-assign 51 50 )
127 ( ":=" calcFunc-assign 51 50 )
128 ( "::" calcFunc-condition 45 46 ))) ; should support full assignments
130 (put 'c 'math-function-table
131 '( ( acos . calcFunc-arccos )
132 ( acosh . calcFunc-arccosh )
133 ( asin . calcFunc-arcsin )
134 ( asinh . calcFunc-arcsinh )
135 ( atan . calcFunc-arctan )
136 ( atan2 . calcFunc-arctan2 )
137 ( atanh . calcFunc-arctanh )
138 ( fma . (math-C-parse-fma))
139 ( fmax . calcFunc-max )
140 ( j0 . (math-C-parse-bess))
141 ( jn . calcFunc-besJ )
142 ( j1 . (math-C-parse-bess))
143 ( yn . calcFunc-besY )
144 ( y0 . (math-C-parse-bess))
145 ( y1 . (math-C-parse-bess))
146 ( tgamma . calcFunc-gamma )))
148 (defun math-C-parse-bess (f val)
149 "Parse C's j0, j1, y0, y1 functions."
150 (let ((args (math-read-expr-list)))
153 (cond ((eq val 'j0) '(calcFunc-besJ 0))
154 ((eq val 'j1) '(calcFunc-besJ 1))
155 ((eq val 'y0) '(calcFunc-besY 0))
156 ((eq val 'y1) '(calcFunc-besY 1)))
159 (defun math-C-parse-fma (f val)
160 "Parse C's fma function fma(x,y,z) => (x * y + z)."
161 (let ((args (math-read-expr-list)))
170 (put 'c 'math-variable-table
174 (put 'c 'math-vector-brackets "{}")
176 (put 'c 'math-radix-formatter
177 (function (lambda (r s)
178 (if (= r 16) (format "0x%s" s)
179 (if (= r 8) (format "0%s" s)
180 (format "%d#%s" r s))))))
182 (put 'c 'math-compose-subscr
185 (let ((args (cdr (cdr a))))
187 (math-compose-expr (nth 1 a) 1000)
189 (math-compose-vector args ", " 0)
192 (add-to-list 'calc-lang-slash-idiv 'c)
193 (add-to-list 'calc-lang-allow-underscores 'c)
194 (add-to-list 'calc-lang-c-type-hex 'c)
195 (add-to-list 'calc-lang-brackets-are-subscripts 'c)
197 (defun calc-pascal-language (n)
200 (and n (setq n (prefix-numeric-value n)))
201 (calc-set-language 'pascal n)
202 (message (if (and n (/= n 0))
204 "Pascal language mode (all uppercase)"
205 "Pascal language mode (all lowercase)")
206 "Pascal language mode"))))
208 (put 'pascal 'math-oper-table
209 '( ( "not" calcFunc-lnot -1 1000 )
212 ( "and" calcFunc-and 190 191 )
213 ( "div" calcFunc-idiv 190 191 )
215 ( "u+" ident -1 185 )
219 ( "or" calcFunc-or 180 181 )
220 ( "xor" calcFunc-xor 180 181 )
221 ( "shl" calcFunc-lsh 180 181 )
222 ( "shr" calcFunc-rsh 180 181 )
223 ( "in" calcFunc-in 160 161 )
224 ( "<" calcFunc-lt 160 161 )
225 ( ">" calcFunc-gt 160 161 )
226 ( "<=" calcFunc-leq 160 161 )
227 ( ">=" calcFunc-geq 160 161 )
228 ( "=" calcFunc-eq 160 161 )
229 ( "<>" calcFunc-neq 160 161 )
230 ( "!!!" calcFunc-pnot -1 85 )
231 ( "&&&" calcFunc-pand 80 81 )
232 ( "|||" calcFunc-por 75 76 )
233 ( ":=" calcFunc-assign 51 50 )
234 ( "::" calcFunc-condition 45 46 )))
236 (put 'pascal 'math-input-filter 'calc-input-case-filter)
237 (put 'pascal 'math-output-filter 'calc-output-case-filter)
239 (put 'pascal 'math-radix-formatter
240 (function (lambda (r s)
241 (if (= r 16) (format "$%s" s)
242 (format "%d#%s" r s)))))
244 (put 'pascal 'math-lang-read-symbol
247 "\\(\\$[0-9a-fA-F]+\\)\\($\\|[^0-9a-zA-Zα-ωΑ-Ω]\\)"
248 math-exp-str math-exp-pos)
250 (setq math-exp-token 'number
251 math-expr-data (math-match-substring math-exp-str 1)
252 math-exp-pos (match-end 1)))))
254 (put 'pascal 'math-compose-subscr
257 (let ((args (cdr (cdr a))))
258 (while (eq (car-safe (nth 1 a)) 'calcFunc-subscr)
259 (setq args (append (cdr (cdr (nth 1 a))) args)
262 (math-compose-expr (nth 1 a) 1000)
264 (math-compose-vector args ", " 0)
267 (add-to-list 'calc-lang-allow-underscores 'pascal)
268 (add-to-list 'calc-lang-brackets-are-subscripts 'pascal)
270 (defun calc-input-case-filter (str)
271 (cond ((or (null calc-language-option) (= calc-language-option 0))
276 (defun calc-output-case-filter (str)
277 (cond ((or (null calc-language-option) (= calc-language-option 0))
279 ((> calc-language-option 0)
285 (defun calc-fortran-language (n)
288 (and n (setq n (prefix-numeric-value n)))
289 (calc-set-language 'fortran n)
290 (message (if (and n (/= n 0))
292 "FORTRAN language mode (all uppercase)"
293 "FORTRAN language mode (all lowercase)")
294 "FORTRAN language mode"))))
296 (put 'fortran 'math-oper-table
297 '( ( "u/" (math-parse-fortran-vector) -1 1 )
298 ( "/" (math-parse-fortran-vector-end) 1 -1 )
300 ( "u+" ident -1 191 )
306 ( ".LT." calcFunc-lt 160 161 )
307 ( ".GT." calcFunc-gt 160 161 )
308 ( ".LE." calcFunc-leq 160 161 )
309 ( ".GE." calcFunc-geq 160 161 )
310 ( ".EQ." calcFunc-eq 160 161 )
311 ( ".NE." calcFunc-neq 160 161 )
312 ( ".NOT." calcFunc-lnot -1 121 )
313 ( ".AND." calcFunc-land 110 111 )
314 ( ".OR." calcFunc-lor 100 101 )
315 ( "!!!" calcFunc-pnot -1 85 )
316 ( "&&&" calcFunc-pand 80 81 )
317 ( "|||" calcFunc-por 75 76 )
318 ( "=" calcFunc-assign 51 50 )
319 ( ":=" calcFunc-assign 51 50 )
320 ( "::" calcFunc-condition 45 46 )))
322 (put 'fortran 'math-vector-brackets "//")
324 (put 'fortran 'math-function-table
325 '( ( acos . calcFunc-arccos )
326 ( acosh . calcFunc-arccosh )
327 ( aimag . calcFunc-im )
328 ( aint . calcFunc-ftrunc )
329 ( asin . calcFunc-arcsin )
330 ( asinh . calcFunc-arcsinh )
331 ( atan . calcFunc-arctan )
332 ( atan2 . calcFunc-arctan2 )
333 ( atanh . calcFunc-arctanh )
334 ( conjg . calcFunc-conj )
335 ( log . calcFunc-ln )
336 ( nint . calcFunc-round )
337 ( real . calcFunc-re )))
339 (put 'fortran 'math-input-filter 'calc-input-case-filter)
341 (put 'fortran 'math-output-filter 'calc-output-case-filter)
343 (put 'fortran 'math-lang-read-symbol
345 (eq (string-match "\\.[a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω]?\\."
346 math-exp-str math-exp-pos) math-exp-pos)
347 (setq math-exp-token 'punc
348 math-expr-data (upcase (math-match-substring math-exp-str 0))
349 math-exp-pos (match-end 0)))))
351 (put 'fortran 'math-compose-subscr
354 (let ((args (cdr (cdr a))))
355 (while (eq (car-safe (nth 1 a)) 'calcFunc-subscr)
356 (setq args (append (cdr (cdr (nth 1 a))) args)
359 (math-compose-expr (nth 1 a) 1000)
361 (math-compose-vector args ", " 0)
364 (add-to-list 'calc-lang-slash-idiv 'fortran)
365 (add-to-list 'calc-lang-allow-underscores 'fortran)
366 (add-to-list 'calc-lang-parens-are-subscripts 'fortran)
368 ;; The next few variables are local to math-read-exprs in calc-aent.el
369 ;; and math-read-expr in calc-ext.el, but are set in functions they call.
371 (defvar math-exp-token)
372 (defvar math-expr-data)
373 (defvar math-exp-old-pos)
375 (defvar math-parsing-fortran-vector nil)
376 (defun math-parse-fortran-vector (op)
377 (let ((math-parsing-fortran-vector '(end . "\000")))
379 (math-read-brackets t "]")
380 (setq math-exp-token (car math-parsing-fortran-vector)
381 math-expr-data (cdr math-parsing-fortran-vector)))))
383 (defun math-parse-fortran-vector-end (x op)
384 (if math-parsing-fortran-vector
386 (setq math-parsing-fortran-vector (cons math-exp-token math-expr-data)
388 math-expr-data "\000")
390 (throw 'syntax "Unmatched closing `/'")))
392 (defun math-parse-fortran-subscr (sym args)
393 (setq sym (math-build-var-name sym))
395 (setq sym (list 'calcFunc-subscr sym (car args))
400 (defun calc-tex-language (n)
403 (and n (setq n (prefix-numeric-value n)))
404 (calc-set-language 'tex n)
406 (message "TeX language mode"))
408 (message "TeX language mode with multiline matrices"))
410 (message "TeX language mode with \\hbox{func}(\\hbox{var})"))
413 "TeX language mode with \\hbox{func}(\\hbox{var}) and multiline matrices"))
415 (message "TeX language mode with \\func(\\hbox{var})"))
418 "TeX language mode with \\func(\\hbox{var}) and multiline matrices")))))
420 (defun calc-latex-language (n)
423 (and n (setq n (prefix-numeric-value n)))
424 (calc-set-language 'latex n)
426 (message "LaTeX language mode"))
428 (message "LaTeX language mode with multiline matrices"))
430 (message "LaTeX language mode with \\text{func}(\\text{var})"))
433 "LaTeX language mode with \\text{func}(\\text{var}) and multiline matrices"))
435 (message "LaTeX language mode with \\func(\\text{var})"))
438 "LaTeX language mode with \\func(\\text{var}) and multiline matrices")))))
440 (put 'tex 'math-lang-name "TeX")
441 (put 'latex 'math-lang-name "LaTeX")
443 (put 'tex 'math-oper-table
444 '( ( "\\hat" calcFunc-hat -1 950 )
445 ( "\\check" calcFunc-check -1 950 )
446 ( "\\tilde" calcFunc-tilde -1 950 )
447 ( "\\acute" calcFunc-acute -1 950 )
448 ( "\\grave" calcFunc-grave -1 950 )
449 ( "\\dot" calcFunc-dot -1 950 )
450 ( "\\ddot" calcFunc-dotdot -1 950 )
451 ( "\\breve" calcFunc-breve -1 950 )
452 ( "\\bar" calcFunc-bar -1 950 )
453 ( "\\vec" calcFunc-Vec -1 950 )
454 ( "\\underline" calcFunc-under -1 950 )
455 ( "u|" calcFunc-abs -1 0 )
457 ( "\\lfloor" calcFunc-floor -1 0 )
458 ( "\\rfloor" closing 0 -1 )
459 ( "\\lceil" calcFunc-ceil -1 0 )
460 ( "\\rceil" closing 0 -1 )
461 ( "\\pm" sdev 300 300 )
462 ( "!" calcFunc-fact 210 -1 )
464 ( "_" calcFunc-subscr 201 200 )
465 ( "u+" ident -1 197 )
467 ( "\\times" * 191 190 )
472 ( "\\over" / 170 171 )
474 ( "\\choose" calcFunc-choose 170 171 )
475 ( "\\mod" % 170 171 )
476 ( "<" calcFunc-lt 160 161 )
477 ( ">" calcFunc-gt 160 161 )
478 ( "\\leq" calcFunc-leq 160 161 )
479 ( "\\geq" calcFunc-geq 160 161 )
480 ( "=" calcFunc-eq 160 161 )
481 ( "\\neq" calcFunc-neq 160 161 )
482 ( "\\ne" calcFunc-neq 160 161 )
483 ( "\\lnot" calcFunc-lnot -1 121 )
484 ( "\\land" calcFunc-land 110 111 )
485 ( "\\lor" calcFunc-lor 100 101 )
486 ( "?" (math-read-if) 91 90 )
487 ( "!!!" calcFunc-pnot -1 85 )
488 ( "&&&" calcFunc-pand 80 81 )
489 ( "|||" calcFunc-por 75 76 )
490 ( "\\gets" calcFunc-assign 51 50 )
491 ( ":=" calcFunc-assign 51 50 )
492 ( "::" calcFunc-condition 45 46 )
493 ( "\\to" calcFunc-evalto 40 41 )
494 ( "\\to" calcFunc-evalto 40 -1 )
495 ( "=>" calcFunc-evalto 40 41 )
496 ( "=>" calcFunc-evalto 40 -1 )))
498 (put 'tex 'math-function-table
499 '( ( \\arccos . calcFunc-arccos )
500 ( \\arcsin . calcFunc-arcsin )
501 ( \\arctan . calcFunc-arctan )
502 ( \\arg . calcFunc-arg )
503 ( \\cos . calcFunc-cos )
504 ( \\cosh . calcFunc-cosh )
505 ( \\cot . calcFunc-cot )
506 ( \\coth . calcFunc-coth )
507 ( \\csc . calcFunc-csc )
508 ( \\det . calcFunc-det )
509 ( \\exp . calcFunc-exp )
510 ( \\gcd . calcFunc-gcd )
511 ( \\ln . calcFunc-ln )
512 ( \\log . calcFunc-log10 )
513 ( \\max . calcFunc-max )
514 ( \\min . calcFunc-min )
515 ( \\sec . calcFunc-sec )
516 ( \\sin . calcFunc-sin )
517 ( \\sinh . calcFunc-sinh )
518 ( \\sqrt . calcFunc-sqrt )
519 ( \\tan . calcFunc-tan )
520 ( \\tanh . calcFunc-tanh )
521 ( \\phi . calcFunc-totient )
522 ( \\mu . calcFunc-moebius )))
524 (put 'tex 'math-special-function-table
525 '((calcFunc-sum . (math-compose-tex-sum "\\sum"))
526 (calcFunc-prod . (math-compose-tex-sum "\\prod"))
527 (calcFunc-sqrt . math-compose-tex-sqrt)
528 (intv . math-compose-tex-intv)))
530 (put 'tex 'math-variable-table
533 ( \\alpha . var-alpha )
534 ( \\beta . var-beta )
535 ( \\gamma . var-gamma )
536 ( \\Gamma . var-Gamma )
537 ( \\delta . var-delta )
538 ( \\Delta . var-Delta )
539 ( \\epsilon . var-epsilon )
540 ( \\varepsilon . var-varepsilon)
541 ( \\zeta . var-zeta )
543 ( \\theta . var-theta )
544 ( \\vartheta . var-vartheta )
545 ( \\Theta . var-Theta )
546 ( \\iota . var-iota )
547 ( \\kappa . var-kappa )
548 ( \\lambda . var-lambda )
549 ( \\Lambda . var-Lambda )
555 ( \\varpi . var-varpi )
558 ( \\varrho . var-varrho )
559 ( \\sigma . var-sigma )
560 ( \\sigma . var-varsigma )
561 ( \\Sigma . var-Sigma )
563 ( \\upsilon . var-upsilon )
564 ( \\Upsilon . var-Upsilon )
566 ( \\varphi . var-varphi )
571 ( \\omega . var-omega )
572 ( \\Omega . var-Omega )
585 ( \\infty . var-inf )
586 ( \\infty . var-uinf )
587 ( \\sum . (math-parse-tex-sum calcFunc-sum) )
588 ( \\prod . (math-parse-tex-sum calcFunc-prod) )))
590 (put 'tex 'math-punc-table
595 (put 'tex 'math-complex-format 'i)
597 (put 'tex 'math-input-filter 'math-tex-input-filter)
599 (put 'tex 'math-matrix-formatter
602 (if (and (integerp calc-language-option)
603 (or (= calc-language-option 0)
604 (> calc-language-option 1)
605 (< calc-language-option -1)))
606 (append '(vleft 0 "\\matrix{")
607 (math-compose-tex-matrix (cdr a))
609 (append '(horiz "\\matrix{ ")
610 (math-compose-tex-matrix (cdr a))
613 (put 'tex 'math-var-formatter 'math-compose-tex-var)
615 (put 'tex 'math-func-formatter 'math-compose-tex-func)
617 (put 'tex 'math-dots "\\ldots")
619 (put 'tex 'math-big-parens '("\\left( " . " \\right)"))
621 (put 'tex 'math-evalto '("\\evalto " . " \\to "))
623 (defconst math-tex-ignore-words
624 '( ("\\hbox") ("\\mbox") ("\\text") ("\\left") ("\\right")
625 ("\\,") ("\\>") ("\\:") ("\\;") ("\\!") ("\\ ")
626 ("\\quad") ("\\qquad") ("\\hfil") ("\\hfill")
627 ("\\displaystyle") ("\\textstyle") ("\\dsize") ("\\tsize")
628 ("\\scriptstyle") ("\\scriptscriptstyle") ("\\ssize") ("\\sssize")
629 ("\\rm") ("\\bf") ("\\it") ("\\sl")
630 ("\\roman") ("\\bold") ("\\italic") ("\\slanted")
631 ("\\cal") ("\\mit") ("\\Cal") ("\\Bbb") ("\\frak") ("\\goth")
633 ("\\matrix" mat) ("\\bmatrix" mat) ("\\pmatrix" mat)
635 ("\\cr" punc ";") ("\\\\" punc ";") ("\\*" punc "*")
636 ("\\{" punc "[") ("\\}" punc "]")))
638 (defconst math-latex-ignore-words
639 (append math-tex-ignore-words
640 '(("\\begin" begenv))))
642 (put 'tex 'math-lang-read-symbol
644 (< math-exp-pos (1- (length math-exp-str)))
646 (or (string-match "\\\\hbox *{\\([a-zA-Zα-ωΑ-Ω0-9]+\\)}"
647 math-exp-str math-exp-pos)
648 (string-match "\\(\\\\\\([a-zA-Zα-ωΑ-Ω]+\\|[^a-zA-Zα-ωΑ-Ω]\\)\\)"
649 math-exp-str math-exp-pos))
650 (setq math-exp-token 'symbol
651 math-exp-pos (match-end 0)
652 math-expr-data (math-restore-dashes
653 (math-match-substring math-exp-str 1)))
654 (let ((code (assoc math-expr-data math-latex-ignore-words)))
658 ((eq (nth 1 code) 'punc)
659 (setq math-exp-token 'punc
660 math-expr-data (nth 2 code)))
661 ((and (eq (nth 1 code) 'mat)
662 (string-match " *{" math-exp-str math-exp-pos))
663 (setq math-exp-pos (match-end 0)
666 (let ((right (string-match "}" math-exp-str math-exp-pos)))
668 (setq math-exp-str (copy-sequence math-exp-str))
669 (aset math-exp-str right ?\]))))))))))
671 (defun math-compose-tex-matrix (a &optional ltx)
673 (cons (append (math-compose-vector (cdr (car a)) " & " 0)
674 (if ltx '(" \\\\ ") '(" \\cr ")))
675 (math-compose-tex-matrix (cdr a) ltx))
676 (list (math-compose-vector (cdr (car a)) " & " 0))))
678 (defun math-compose-tex-sum (a fn)
681 (list 'horiz (nth 1 fn)
682 "_{" (math-compose-expr (nth 2 a) 0)
683 "=" (math-compose-expr (nth 3 a) 0)
684 "}^{" (math-compose-expr (nth 4 a) 0)
685 "}{" (math-compose-expr (nth 1 a) 0) "}"))
687 (list 'horiz (nth 1 fn)
688 "_{" (math-compose-expr (nth 2 a) 0)
689 "=" (math-compose-expr (nth 3 a) 0)
690 "}{" (math-compose-expr (nth 1 a) 0) "}"))
692 (list 'horiz (nth 1 fn)
693 "_{" (math-compose-expr (nth 2 a) 0)
694 "}{" (math-compose-expr (nth 1 a) 0) "}"))))
696 (defun math-parse-tex-sum (f val)
698 (or (equal math-expr-data "_") (throw 'syntax "Expected `_'"))
700 (setq save math-exp-old-pos)
701 (setq low (math-read-factor))
702 (or (eq (car-safe low) 'calcFunc-eq)
704 (setq math-exp-old-pos (1+ save))
705 (throw 'syntax "Expected equation")))
706 (or (equal math-expr-data "^") (throw 'syntax "Expected `^'"))
708 (setq high (math-read-factor))
709 (list (nth 2 f) (math-read-factor) (nth 1 low) (nth 2 low) high)))
711 (defun math-tex-input-filter (str) ; allow parsing of 123\,456\,789.
712 (while (string-match "[0-9]\\\\,[0-9]" str)
713 (setq str (concat (substring str 0 (1+ (match-beginning 0)))
714 (substring str (1- (match-end 0))))))
717 (defun math-compose-tex-sqrt (a)
720 (math-compose-expr (nth 1 a) 0)
723 (defun math-compose-tex-intv (a)
725 (if (memq (nth 1 a) '(0 1)) "(" "[")
726 (math-compose-expr (nth 2 a) 0)
728 (math-compose-expr (nth 3 a) 0)
729 (if (memq (nth 1 a) '(0 2)) ")" "]")))
731 (defun math-compose-tex-var (a prec)
732 (if (and calc-language-option
733 (not (= calc-language-option 0))
734 (string-match "\\`[a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω0-9]+\\'"
735 (symbol-name (nth 1 a))))
736 (if (eq calc-language 'latex)
737 (format "\\text{%s}" (symbol-name (nth 1 a)))
738 (format "\\hbox{%s}" (symbol-name (nth 1 a))))
739 (math-compose-var a)))
741 (defun math-compose-tex-func (func a)
743 (if (and calc-language-option
744 (not (= calc-language-option 0))
745 (string-match "\\`[a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω0-9]+\\'" func))
746 (if (< (prefix-numeric-value calc-language-option) 0)
747 (setq func (format "\\%s" func))
748 (setq func (if (eq calc-language 'latex)
749 (format "\\text{%s}" func)
750 (format "\\hbox{%s}" func)))))
751 (cond ((or (> (length a) 2)
752 (not (math-tex-expr-is-flat (nth 1 a))))
753 (setq left "\\left( "
755 ((and (eq (aref func 0) ?\\)
757 (string-match "\\hbox{" func)
758 (string-match "\\text{" func)))
760 (or (Math-realp (nth 1 a))
761 (memq (car (nth 1 a)) '(var *))))
762 (setq left "{" right "}"))
763 (t (setq left calc-function-open
764 right calc-function-close)))
767 (math-compose-vector (cdr a) ", " 0)
770 (put 'latex 'math-oper-table
771 (append (get 'tex 'math-oper-table)
772 '(( "\\Hat" calcFunc-Hat -1 950 )
773 ( "\\Check" calcFunc-Check -1 950 )
774 ( "\\Tilde" calcFunc-Tilde -1 950 )
775 ( "\\Acute" calcFunc-Acute -1 950 )
776 ( "\\Grave" calcFunc-Grave -1 950 )
777 ( "\\Dot" calcFunc-Dot -1 950 )
778 ( "\\Ddot" calcFunc-Dotdot -1 950 )
779 ( "\\Breve" calcFunc-Breve -1 950 )
780 ( "\\Bar" calcFunc-Bar -1 950 )
781 ( "\\Vec" calcFunc-VEC -1 950 )
782 ( "\\dddot" calcFunc-dddot -1 950 )
783 ( "\\ddddot" calcFunc-ddddot -1 950 )
784 ( "\\div" / 170 171 )
785 ( "\\le" calcFunc-leq 160 161 )
786 ( "\\leqq" calcFunc-leq 160 161 )
787 ( "\\leqsland" calcFunc-leq 160 161 )
788 ( "\\ge" calcFunc-geq 160 161 )
789 ( "\\geqq" calcFunc-geq 160 161 )
790 ( "\\geqslant" calcFunc-geq 160 161 )
791 ( "=" calcFunc-eq 160 161 )
792 ( "\\neq" calcFunc-neq 160 161 )
793 ( "\\ne" calcFunc-neq 160 161 )
794 ( "\\lnot" calcFunc-lnot -1 121 )
795 ( "\\land" calcFunc-land 110 111 )
796 ( "\\lor" calcFunc-lor 100 101 )
797 ( "?" (math-read-if) 91 90 )
798 ( "!!!" calcFunc-pnot -1 85 )
799 ( "&&&" calcFunc-pand 80 81 )
800 ( "|||" calcFunc-por 75 76 )
801 ( "\\gets" calcFunc-assign 51 50 )
802 ( ":=" calcFunc-assign 51 50 )
803 ( "::" calcFunc-condition 45 46 )
804 ( "\\to" calcFunc-evalto 40 41 )
805 ( "\\to" calcFunc-evalto 40 -1 )
806 ( "=>" calcFunc-evalto 40 41 )
807 ( "=>" calcFunc-evalto 40 -1 ))))
809 (put 'latex 'math-function-table
811 (get 'tex 'math-function-table)
812 '(( \\frac . (math-latex-parse-frac))
813 ( \\tfrac . (math-latex-parse-frac))
814 ( \\dfrac . (math-latex-parse-frac))
815 ( \\binom . (math-latex-parse-two-args calcFunc-choose))
816 ( \\tbinom . (math-latex-parse-two-args calcFunc-choose))
817 ( \\dbinom . (math-latex-parse-two-args calcFunc-choose))
818 ( \\phi . calcFunc-totient )
819 ( \\mu . calcFunc-moebius ))))
821 (put 'latex 'math-special-function-table
822 '((/ . (math-compose-latex-frac "\\frac"))
823 (calcFunc-choose . (math-compose-latex-frac "\\binom"))
824 (calcFunc-sum . (math-compose-tex-sum "\\sum"))
825 (calcFunc-prod . (math-compose-tex-sum "\\prod"))
826 (calcFunc-sqrt . math-compose-tex-sqrt)
827 (intv . math-compose-tex-intv)))
829 (put 'latex 'math-variable-table
830 (get 'tex 'math-variable-table))
832 (put 'latex 'math-punc-table
837 (put 'latex 'math-complex-format 'i)
839 (put 'latex 'math-matrix-formatter
842 (if (and (integerp calc-language-option)
843 (or (= calc-language-option 0)
844 (> calc-language-option 1)
845 (< calc-language-option -1)))
846 (append '(vleft 0 "\\begin{pmatrix}")
847 (math-compose-tex-matrix (cdr a) t)
849 (append '(horiz "\\begin{pmatrix} ")
850 (math-compose-tex-matrix (cdr a) t)
851 '(" \\end{pmatrix}"))))))
853 (put 'latex 'math-var-formatter 'math-compose-tex-var)
855 (put 'latex 'math-func-formatter 'math-compose-tex-func)
857 (put 'latex 'math-dots "\\ldots")
859 (put 'latex 'math-big-parens '("\\left( " . " \\right)"))
861 (put 'latex 'math-evalto '("\\evalto " . " \\to "))
863 (put 'latex 'math-lang-read-symbol
865 (< math-exp-pos (1- (length math-exp-str)))
867 (or (string-match "\\\\hbox *{\\([a-zA-Zα-ωΑ-Ω0-9]+\\)}"
868 math-exp-str math-exp-pos)
869 (string-match "\\\\text *{\\([a-zA-Zα-ωΑ-Ω0-9]+\\)}"
870 math-exp-str math-exp-pos)
871 (string-match "\\(\\\\\\([a-zA-Zα-ωΑ-Ω]+\\|[^a-zA-Zα-ωΑ-Ω]\\)\\)"
872 math-exp-str math-exp-pos))
873 (setq math-exp-token 'symbol
874 math-exp-pos (match-end 0)
875 math-expr-data (math-restore-dashes
876 (math-match-substring math-exp-str 1)))
877 (let ((code (assoc math-expr-data math-tex-ignore-words))
882 ((eq (nth 1 code) 'punc)
883 (setq math-exp-token 'punc
884 math-expr-data (nth 2 code)))
885 ((and (eq (nth 1 code) 'begenv)
886 (string-match " *{\\([^}]*\\)}" math-exp-str math-exp-pos))
887 (setq math-exp-pos (match-end 0)
888 envname (match-string 1 math-exp-str)
891 (cond ((or (string= envname "matrix")
892 (string= envname "bmatrix")
893 (string= envname "smallmatrix")
894 (string= envname "pmatrix"))
895 (if (string-match (concat "\\\\end{" envname "}")
896 math-exp-str math-exp-pos)
898 (replace-match "]" t t math-exp-str))
899 (error "%s" (concat "No closing \\end{" envname "}"))))))
900 ((and (eq (nth 1 code) 'mat)
901 (string-match " *{" math-exp-str math-exp-pos))
902 (setq math-exp-pos (match-end 0)
905 (let ((right (string-match "}" math-exp-str math-exp-pos)))
907 (setq math-exp-str (copy-sequence math-exp-str))
908 (aset math-exp-str right ?\]))))))))))
910 (defun math-latex-parse-frac (f val)
912 (setq numer (car (math-read-expr-list)))
914 (setq denom (math-read-factor))
915 (if (and (Math-num-integerp numer)
916 (Math-num-integerp denom))
917 (list 'frac numer denom)
918 (list '/ numer denom))))
920 (defun math-latex-parse-two-args (f val)
922 (setq first (car (math-read-expr-list)))
924 (setq second (math-read-factor))
925 (list (nth 2 f) first second)))
927 (defun math-compose-latex-frac (a fn)
928 (list 'horiz (nth 1 fn) "{" (math-compose-expr (nth 1 a) -1)
930 (math-compose-expr (nth 2 a) -1)
933 (put 'latex 'math-input-filter 'math-tex-input-filter)
935 (defun calc-eqn-language (n)
938 (calc-set-language 'eqn)
939 (message "Eqn language mode")))
941 (put 'eqn 'math-oper-table
942 '( ( "prime" (math-parse-eqn-prime) 950 -1 )
943 ( "prime" calcFunc-Prime 950 -1 )
944 ( "dot" calcFunc-dot 950 -1 )
945 ( "dotdot" calcFunc-dotdot 950 -1 )
946 ( "hat" calcFunc-hat 950 -1 )
947 ( "tilde" calcFunc-tilde 950 -1 )
948 ( "vec" calcFunc-Vec 950 -1 )
949 ( "dyad" calcFunc-dyad 950 -1 )
950 ( "bar" calcFunc-bar 950 -1 )
951 ( "under" calcFunc-under 950 -1 )
952 ( "sub" calcFunc-subscr 931 930 )
954 ( "sqrt" calcFunc-sqrt -1 910 )
956 ( "u|" calcFunc-abs -1 0 )
958 ( "left floor" calcFunc-floor -1 0 )
959 ( "right floor" closing 0 -1 )
960 ( "left ceil" calcFunc-ceil -1 0 )
961 ( "right ceil" closing 0 -1 )
962 ( "+-" sdev 300 300 )
963 ( "!" calcFunc-fact 210 -1 )
964 ( "u+" ident -1 197 )
966 ( "times" * 191 190 )
973 ( "<" calcFunc-lt 160 161 )
974 ( ">" calcFunc-gt 160 161 )
975 ( "<=" calcFunc-leq 160 161 )
976 ( ">=" calcFunc-geq 160 161 )
977 ( "=" calcFunc-eq 160 161 )
978 ( "==" calcFunc-eq 160 161 )
979 ( "!=" calcFunc-neq 160 161 )
980 ( "u!" calcFunc-lnot -1 121 )
981 ( "&&" calcFunc-land 110 111 )
982 ( "||" calcFunc-lor 100 101 )
983 ( "?" (math-read-if) 91 90 )
984 ( "!!!" calcFunc-pnot -1 85 )
985 ( "&&&" calcFunc-pand 80 81 )
986 ( "|||" calcFunc-por 75 76 )
987 ( "<-" calcFunc-assign 51 50 )
988 ( ":=" calcFunc-assign 51 50 )
989 ( "::" calcFunc-condition 45 46 )
990 ( "->" calcFunc-evalto 40 41 )
991 ( "->" calcFunc-evalto 40 -1 )
992 ( "=>" calcFunc-evalto 40 41 )
993 ( "=>" calcFunc-evalto 40 -1 )))
995 (put 'eqn 'math-function-table
996 '( ( arc\ cos . calcFunc-arccos )
997 ( arc\ cosh . calcFunc-arccosh )
998 ( arc\ sin . calcFunc-arcsin )
999 ( arc\ sinh . calcFunc-arcsinh )
1000 ( arc\ tan . calcFunc-arctan )
1001 ( arc\ tanh . calcFunc-arctanh )
1002 ( GAMMA . calcFunc-gamma )
1003 ( phi . calcFunc-totient )
1004 ( mu . calcFunc-moebius )
1005 ( matrix . (math-parse-eqn-matrix) )))
1007 (put 'eqn 'math-special-function-table
1008 '((intv . math-compose-eqn-intv)))
1010 (put 'eqn 'math-punc-table
1014 (put 'eqn 'math-variable-table
1015 '( ( inf . var-uinf )))
1017 (put 'eqn 'math-complex-format 'i)
1019 (put 'eqn 'math-big-parens '("{left ( " . " right )}"))
1021 (put 'eqn 'math-evalto '("evalto " . " -> "))
1023 (put 'eqn 'math-matrix-formatter
1026 (append '(horiz "matrix { ")
1027 (math-compose-eqn-matrix
1028 (cdr (math-transpose a)))
1031 (put 'eqn 'math-var-formatter
1035 (if (and math-compose-hash-args
1036 (let ((p calc-arg-values))
1038 (while (and p (not (equal (car p) a)))
1039 (setq p (and (eq math-compose-hash-args t) (cdr p))
1042 (if (eq math-compose-hash-args 1)
1045 (if (string-match ".'\\'" (symbol-name (nth 2 a)))
1047 (list 'calcFunc-Prime
1050 (intern (substring (symbol-name (nth 1 a)) 0 -1))
1051 (intern (substring (symbol-name (nth 2 a)) 0 -1))))
1053 (symbol-name (nth 1 a))))))))
1055 (defconst math-eqn-special-funcs
1057 calcFunc-ln calcFunc-exp
1058 calcFunc-sin calcFunc-cos calcFunc-tan
1059 calcFunc-sec calcFunc-csc calcFunc-cot
1060 calcFunc-sinh calcFunc-cosh calcFunc-tanh
1061 calcFunc-sech calcFunc-csch calcFunc-coth
1062 calcFunc-arcsin calcFunc-arccos calcFunc-arctan
1063 calcFunc-arcsinh calcFunc-arccosh calcFunc-arctanh))
1065 (put 'eqn 'math-func-formatter
1069 (if (string-match "[^']'+\\'" func)
1070 (let ((n (- (length func) (match-beginning 0) 1)))
1071 (setq func (substring func 0 (- n)))
1072 (while (>= (setq n (1- n)) 0)
1073 (setq func (concat func " prime")))))
1074 (cond ((or (> (length a) 2)
1075 (not (math-tex-expr-is-flat (nth 1 a))))
1076 (setq left "{left ( "
1080 (memq (car a) math-eqn-special-funcs)
1082 (or (Math-realp (nth 1 a))
1083 (memq (car (nth 1 a)) '(var *))))
1084 (setq left "~{" right "}"))
1088 (list 'horiz func left
1089 (math-compose-vector (cdr a) " , " 0)
1092 (put 'eqn 'math-lang-read-symbol
1094 (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)"
1095 math-exp-str math-exp-pos)
1097 (setq math-exp-str (copy-sequence math-exp-str))
1098 (aset math-exp-str (match-beginning 1) ?\{)
1099 (if (< (match-end 1) (length math-exp-str))
1100 (aset math-exp-str (match-end 1) ?\}))
1101 (math-read-token)))))
1103 (defconst math-eqn-ignore-words
1104 '( ("roman") ("bold") ("italic") ("mark") ("lineup") ("evalto")
1105 ("left" ("floor") ("ceil"))
1106 ("right" ("floor") ("ceil"))
1107 ("arc" ("sin") ("cos") ("tan") ("sinh") ("cosh") ("tanh"))
1108 ("size" n) ("font" n) ("fwd" n) ("back" n) ("up" n) ("down" n)
1109 ("above" punc ",")))
1111 (put 'eqn 'math-lang-adjust-words
1114 (let ((code (assoc math-expr-data math-eqn-ignore-words)))
1118 ((consp (nth 1 code))
1120 (if (assoc math-expr-data (cdr code))
1121 (setq math-expr-data (format "%s %s"
1122 (car code) math-expr-data))))
1123 ((eq (nth 1 code) 'punc)
1124 (setq math-exp-token 'punc
1125 math-expr-data (nth 2 code)))
1128 (math-read-token)))))))
1130 (put 'eqn 'math-lang-read
1131 '((eq (string-match "->\\|<-\\|+-\\|\\\\dots\\|~\\|\\^"
1132 math-exp-str math-exp-pos)
1135 (setq math-exp-token 'punc
1136 math-expr-data (math-match-substring math-exp-str 0)
1137 math-exp-pos (match-end 0))
1138 (and (eq (string-match "\\\\dots\\." math-exp-str math-exp-pos)
1140 (setq math-exp-pos (match-end 0)))
1141 (if (memq (aref math-expr-data 0) '(?~ ?^))
1142 (math-read-token)))))
1145 (defun math-compose-eqn-matrix (a)
1148 (cond ((eq calc-matrix-just 'right) "rcol ")
1149 ((eq calc-matrix-just 'center) "ccol ")
1152 (list 'break math-compose-level)
1156 (let ((math-compose-level (1+ math-compose-level)))
1157 (math-compose-vector (cdr (car a)) " above " 1000))
1160 (math-compose-eqn-matrix (cdr a)))))))
1163 (defun math-parse-eqn-matrix (f sym)
1165 (while (assoc math-expr-data '(("ccol") ("lcol") ("rcol")))
1167 (or (equal math-expr-data calc-function-open)
1168 (throw 'syntax "Expected `{'"))
1170 (setq vec (cons (cons 'vec (math-read-expr-list)) vec))
1171 (or (equal math-expr-data calc-function-close)
1172 (throw 'syntax "Expected `}'"))
1174 (or (equal math-expr-data calc-function-close)
1175 (throw 'syntax "Expected `}'"))
1177 (math-transpose (cons 'vec (nreverse vec)))))
1179 (defun math-parse-eqn-prime (x sym)
1180 (if (eq (car-safe x) 'var)
1181 (if (equal math-expr-data calc-function-open)
1184 (let ((args (if (or (equal math-expr-data calc-function-close)
1185 (eq math-exp-token 'end))
1187 (math-read-expr-list))))
1188 (if (not (or (equal math-expr-data calc-function-close)
1189 (eq math-exp-token 'end)))
1190 (throw 'syntax "Expected `)'"))
1192 (cons (intern (format "calcFunc-%s'" (nth 1 x))) args)))
1194 (intern (concat (symbol-name (nth 1 x)) "'"))
1195 (intern (concat (symbol-name (nth 2 x)) "'"))))
1196 (list 'calcFunc-Prime x)))
1198 (defun math-compose-eqn-intv (a)
1200 (if (memq (nth 1 a) '(0 1)) "(" "[")
1201 (math-compose-expr (nth 2 a) 0)
1203 (math-compose-expr (nth 3 a) 0)
1204 (if (memq (nth 1 a) '(0 2)) ")" "]")))
1209 (defun calc-yacas-language ()
1210 "Change the Calc language to be Yacas-like."
1213 (calc-set-language 'yacas)
1214 (message "`Yacas' language mode")))
1216 (put 'yacas 'math-vector-brackets "{}")
1218 (put 'yacas 'math-complex-format 'I)
1220 (add-to-list 'calc-lang-brackets-are-subscripts 'yacas)
1222 (put 'yacas 'math-variable-table
1223 '(( Infinity . var-inf)
1224 ( Infinity . var-uinf)
1225 ( Undefined . var-nan)
1227 ( E . var-e) ;; Not really in Yacas
1228 ( GoldenRatio . var-phi)
1229 ( Gamma . var-gamma)))
1231 (put 'yacas 'math-parse-table
1232 '((("Deriv(" 0 ")" 0)
1233 calcFunc-deriv (var ArgB var-ArgB) (var ArgA var-ArgA))
1235 calcFunc-deriv (var ArgB var-ArgB) (var ArgA var-ArgA))
1236 (("Integrate(" 0 ")" 0)
1237 calcFunc-integ (var ArgB var-ArgB)(var ArgA var-ArgA))
1238 (("Integrate(" 0 "," 0 "," 0 ")" 0)
1239 calcFunc-integ (var ArgD var-ArgD) (var ArgA var-ArgA)
1240 (var ArgB var-ArgB) (var ArgC var-ArgC))
1241 (("Subst(" 0 "," 0 ")" 0)
1242 calcFunc-subst (var ArgC var-ArgC) (var ArgA var-ArgA)
1243 (var ArgB var-ArgB))
1244 (("Taylor(" 0 "," 0 "," 0 ")" 0)
1245 calcFunc-taylor (var ArgD var-ArgD)
1246 (calcFunc-eq (var ArgA var-ArgA) (var ArgB var-ArgB))
1247 (var ArgC var-ArgC))))
1249 (put 'yacas 'math-oper-table
1257 ("<<" calcFunc-lsh 80 80)
1258 (">>" calcFunc-rsh 80 80)
1259 ("!" calcFunc-fact 80 -1)
1260 ("!!" calcFunc-dfact 80 -1)
1261 ("X" calcFunc-cross 70 70)
1262 ("=" calcFunc-eq 10 10)
1263 ("!=" calcFunc-neq 10 10)
1264 ("<" calcFunc-lt 10 10)
1265 (">" calcFunc-gt 10 10)
1266 ("<=" calcFunc-leq 10 10)
1267 (">=" calcFunc-geq 10 10)
1268 ("And" calcFunc-land 5 5)
1269 ("Or" calcFunc-or 4 4)
1270 ("Not" calcFunc-lnot -1 3)
1271 (":=" calcFunc-assign 1 1)))
1273 (put 'yacas 'math-function-table
1274 '(( Div . calcFunc-idiv)
1275 ( Mod . calcFunc-mod)
1276 ( Abs . calcFunc-abs)
1277 ( Sign . calcFunc-sign)
1278 ( Sqrt . calcFunc-sqrt)
1279 ( Max . calcFunc-max)
1280 ( Min . calcFunc-min)
1281 ( Floor . calcFunc-floor)
1282 ( Ceil . calcFunc-ceil)
1283 ( Round . calcFunc-round)
1284 ( Conjugate . calcFunc-conj)
1285 ( Arg . calcFunc-arg)
1288 ( Rationalize . calcFunc-pfrac)
1289 ( Sin . calcFunc-sin)
1290 ( Cos . calcFunc-cos)
1291 ( Tan . calcFunc-tan)
1292 ( Sec . calcFunc-sec)
1293 ( Csc . calcFunc-csc)
1294 ( Cot . calcFunc-cot)
1295 ( ArcSin . calcFunc-arcsin)
1296 ( ArcCos . calcFunc-arccos)
1297 ( ArcTan . calcFunc-arctan)
1298 ( Sinh . calcFunc-sinh)
1299 ( Cosh . calcFunc-cosh)
1300 ( Tanh . calcFunc-tanh)
1301 ( Sech . calcFunc-sech)
1302 ( Csch . calcFunc-csch)
1303 ( Coth . calcFunc-coth)
1304 ( ArcSinh . calcFunc-arcsinh)
1305 ( ArcCosh . calcFunc-arccosh)
1306 ( ArcTanh . calcFunc-arctanh)
1308 ( Exp . calcFunc-exp)
1309 ( Gamma . calcFunc-gamma)
1310 ( Gcd . calcFunc-gcd)
1311 ( Lcm . calcFunc-lcm)
1312 ( Bin . calcFunc-choose)
1313 ( Bernoulli . calcFunc-bern)
1314 ( Euler . calcFunc-euler)
1315 ( StirlingNumber1 . calcFunc-stir1)
1316 ( StirlingNumber2 . calcFunc-stir2)
1317 ( IsPrime . calcFunc-prime)
1318 ( Factors . calcFunc-prfac)
1319 ( NextPrime . calcFunc-nextprime)
1320 ( Moebius . calcFunc-moebius)
1321 ( Random . calcFunc-random)
1322 ( Concat . calcFunc-vconcat)
1323 ( Head . calcFunc-head)
1324 ( Tail . calcFunc-tail)
1325 ( Length . calcFunc-vlen)
1326 ( Reverse . calcFunc-rev)
1327 ( CrossProduct . calcFunc-cross)
1328 ( Dot . calcFunc-mul)
1329 ( DiagonalMatrix . calcFunc-diag)
1330 ( Transpose . calcFunc-trn)
1331 ( Inverse . calcFunc-inv)
1332 ( Determinant . calcFunc-det)
1333 ( Trace . calcFunc-tr)
1334 ( RemoveDuplicates . calcFunc-rdup)
1335 ( Union . calcFunc-vunion)
1336 ( Intersection . calcFunc-vint)
1337 ( Difference . calcFunc-vdiff)
1338 ( Apply . calcFunc-apply)
1339 ( Map . calcFunc-map)
1340 ( Simplify . calcFunc-simplify)
1341 ( ExpandBrackets . calcFunc-expand)
1342 ( Solve . calcFunc-solve)
1343 ( Degree . calcFunc-pdeg)
1345 ( Contains . (math-lang-switch-args calcFunc-in))
1346 ( Sum . (math-yacas-parse-Sum calcFunc-sum))
1347 ( Factorize . (math-yacas-parse-Sum calcFunc-prod))))
1349 (put 'yacas 'math-special-function-table
1350 '(( calcFunc-sum . (math-yacas-compose-sum "Sum"))
1351 ( calcFunc-prod . (math-yacas-compose-sum "Factorize"))
1352 ( calcFunc-deriv . (math-yacas-compose-deriv "Deriv"))
1353 ( calcFunc-integ . (math-yacas-compose-deriv "Integrate"))
1354 ( calcFunc-taylor . math-yacas-compose-taylor)
1355 ( calcFunc-in . (math-lang-compose-switch-args "Contains"))))
1357 (put 'yacas 'math-compose-subscr
1360 (let ((args (cdr (cdr a))))
1362 (math-compose-expr (nth 1 a) 1000)
1364 (math-compose-vector args ", " 0)
1367 (defun math-yacas-parse-Sum (f val)
1368 "Read in the arguments to \"Sum\" in Calc's Yacas mode."
1369 (let ((args (math-read-expr-list)))
1377 (defun math-yacas-compose-sum (a fn)
1378 "Compose the \"Sum\" function in Calc's Yacas mode."
1382 (math-compose-expr (nth 2 a) -1)
1384 (math-compose-expr (nth 3 a) -1)
1386 (math-compose-expr (nth 4 a) -1)
1388 (math-compose-expr (nth 1 a) -1)
1391 (defun math-yacas-compose-deriv (a fn)
1392 "Compose the \"Deriv\" function in Calc's Yacas mode."
1396 (math-compose-expr (nth 2 a) -1)
1401 (math-compose-expr (nth 3 a) -1)
1403 (math-compose-expr (nth 4 a) -1)
1406 (math-compose-expr (nth 1 a) -1)))
1408 (defun math-yacas-compose-taylor (a)
1409 "Compose the \"Taylor\" function in Calc's Yacas mode."
1412 (if (eq (car-safe (nth 2 a)) 'calcFunc-eq)
1413 (concat (math-compose-expr (nth 1 (nth 2 a)) -1)
1415 (math-compose-expr (nth 2 (nth 2 a)) -1))
1416 (concat (math-compose-expr (nth 2 a) -1) ",0"))
1418 (math-compose-expr (nth 3 a) -1)
1420 (math-compose-expr (nth 1 a) -1)))
1425 (defun calc-maxima-language ()
1426 "Change the Calc language to be Maxima-like."
1429 (calc-set-language 'maxima)
1430 (message "`Maxima' language mode")))
1432 (put 'maxima 'math-oper-table
1442 ("!" calcFunc-fact 160 -1)
1443 ("!!" calcFunc-dfact 160 -1)
1444 ("=" calcFunc-eq 80 80)
1445 ("#" calcFunc-neq 80 80)
1446 ("<" calcFunc-lt 80 80)
1447 (">" calcFunc-gt 80 80)
1448 ("<=" calcFunc-leq 80 80)
1449 (">=" calcFunc-geq 80 80)
1450 ("and" calcFunc-land 65 65)
1451 ("or" calcFunc-or 60 60)
1452 ("not" calcFunc-lnot -1 70)
1453 (":" calcFunc-assign 180 20)))
1456 (put 'maxima 'math-function-table
1458 ( abs . calcFunc-abs)
1459 ( cabs . calcFunc-abs)
1460 ( signum . calcFunc-sign)
1461 ( floor . calcFunc-floor)
1462 ( entier . calcFunc-floor)
1463 ( fix . calcFunc-floor)
1464 ( conjugate . calcFunc-conj )
1465 ( carg . calcFunc-arg)
1466 ( realpart . calcFunc-re)
1467 ( imagpart . calcFunc-im)
1468 ( rationalize . calcFunc-pfrac)
1469 ( asin . calcFunc-arcsin)
1470 ( acos . calcFunc-arccos)
1471 ( atan . calcFunc-arctan)
1472 ( atan2 . calcFunc-arctan2)
1473 ( asinh . calcFunc-arcsinh)
1474 ( acosh . calcFunc-arccosh)
1475 ( atanh . calcFunc-arctanh)
1476 ( log . calcFunc-ln)
1477 ( plog . calcFunc-ln)
1478 ( bessel_j . calcFunc-besJ)
1479 ( bessel_y . calcFunc-besY)
1480 ( factorial . calcFunc-fact)
1481 ( binomial . calcFunc-choose)
1482 ( primep . calcFunc-prime)
1483 ( next_prime . calcFunc-nextprime)
1484 ( prev_prime . calcFunc-prevprime)
1485 ( append . calcFunc-vconcat)
1486 ( rest . calcFunc-tail)
1487 ( reverse . calcFunc-rev)
1488 ( innerproduct . calcFunc-mul)
1489 ( inprod . calcFunc-mul)
1490 ( row . calcFunc-mrow)
1491 ( columnvector . calcFunc-mcol)
1492 ( covect . calcFunc-mcol)
1493 ( transpose . calcFunc-trn)
1494 ( invert . calcFunc-inv)
1495 ( determinant . calcFunc-det)
1496 ( mattrace . calcFunc-tr)
1497 ( member . calcFunc-in)
1498 ( lmax . calcFunc-vmax)
1499 ( lmin . calcFunc-vmin)
1500 ( distrib . calcFunc-expand)
1501 ( partfrac . calcFunc-apart)
1502 ( rat . calcFunc-nrat)
1503 ( product . calcFunc-prod)
1504 ( diff . calcFunc-deriv)
1505 ( integrate . calcFunc-integ)
1506 ( quotient . calcFunc-pdiv)
1507 ( remainder . calcFunc-prem)
1508 ( divide . calcFunc-pdivrem)
1509 ( equal . calcFunc-eq)
1510 ( notequal . calcFunc-neq)
1511 ( rhs . calcFunc-rmeq)
1512 ( subst . (math-maxima-parse-subst))
1513 ( substitute . (math-maxima-parse-subst))
1514 ( taylor . (math-maxima-parse-taylor))))
1516 (defun math-maxima-parse-subst (f val)
1517 "Read in the arguments to \"subst\" in Calc's Maxima mode."
1518 (let ((args (math-read-expr-list)))
1520 (list 'calcFunc-subst
1525 (defun math-maxima-parse-taylor (f val)
1526 "Read in the arguments to \"taylor\" in Calc's Maxima mode."
1527 (let ((args (math-read-expr-list)))
1529 (list 'calcFunc-taylor
1536 (put 'maxima 'math-parse-table
1537 '((("if" 0 "then" 0 "else" 0)
1541 (var ArgC var-ArgC))))
1543 (put 'maxima 'math-special-function-table
1544 '(( calcFunc-taylor . math-maxima-compose-taylor)
1545 ( calcFunc-subst . math-maxima-compose-subst)
1546 ( calcFunc-if . math-maxima-compose-if)))
1548 (defun math-maxima-compose-taylor (a)
1549 "Compose the \"taylor\" function in Calc's Maxima mode."
1552 (math-compose-expr (nth 1 a) -1)
1554 (if (eq (car-safe (nth 2 a)) 'calcFunc-eq)
1555 (concat (math-compose-expr (nth 1 (nth 2 a)) -1)
1557 (math-compose-expr (nth 2 (nth 2 a)) -1))
1558 (concat (math-compose-expr (nth 2 a) -1) ",0"))
1560 (math-compose-expr (nth 3 a) -1)
1563 (defun math-maxima-compose-subst (a)
1564 "Compose the \"subst\" function in Calc's Maxima mode."
1567 (math-compose-expr (nth 2 a) -1)
1569 (math-compose-expr (nth 3 a) -1)
1571 (math-compose-expr (nth 1 a) -1)
1574 (defun math-maxima-compose-if (a)
1575 "Compose the \"if\" function in Calc's Maxima mode."
1578 (math-compose-expr (nth 1 a) -1)
1580 (math-compose-expr (nth 2 a) -1)
1582 (math-compose-expr (nth 3 a) -1)))
1584 (put 'maxima 'math-variable-table
1585 '(( infinity . var-uinf)
1590 ( %gamma . var-gamma)))
1592 (put 'maxima 'math-complex-format '%i)
1594 (add-to-list 'calc-lang-allow-underscores 'maxima)
1596 (add-to-list 'calc-lang-allow-percentsigns 'maxima)
1598 (add-to-list 'calc-lang-brackets-are-subscripts 'maxima)
1600 (put 'maxima 'math-compose-subscr
1603 (let ((args (cdr (cdr a))))
1605 (math-compose-expr (nth 1 a) 1000)
1607 (math-compose-vector args ", " 0)
1610 (put 'maxima 'math-matrix-formatter
1615 (math-compose-vector (cdr a)
1616 (concat math-comp-comma " ")
1617 math-comp-vector-prec)
1623 (defun calc-giac-language ()
1624 "Change the Calc language to be Giac-like."
1627 (calc-set-language 'giac)
1628 (message "`Giac' language mode")))
1630 (put 'giac 'math-oper-table
1631 '( ( "[" (math-read-giac-subscr) 250 -1 )
1637 ( "u+" ident -1 197 )
1639 ( "!" calcFunc-fact 210 -1 )
1640 ( ".." (math-read-maple-dots) 165 165 )
1641 ( "\\dots" (math-read-maple-dots) 165 165 )
1642 ( "intersect" calcFunc-vint 191 192 )
1643 ( "union" calcFunc-vunion 180 181 )
1644 ( "minus" calcFunc-vdiff 180 181 )
1645 ( "<" calcFunc-lt 160 160 )
1646 ( ">" calcFunc-gt 160 160 )
1647 ( "<=" calcFunc-leq 160 160 )
1648 ( ">=" calcFunc-geq 160 160 )
1649 ( "=" calcFunc-eq 160 160 )
1650 ( "==" calcFunc-eq 160 160 )
1651 ( "!=" calcFunc-neq 160 160 )
1652 ( "and" calcFunc-land 110 111 )
1653 ( "or" calcFunc-lor 100 101 )
1654 ( "&&" calcFunc-land 110 111 )
1655 ( "||" calcFunc-lor 100 101 )
1656 ( "not" calcFunc-lnot -1 121 )
1657 ( ":=" calcFunc-assign 51 50 )))
1660 (put 'giac 'math-function-table
1661 '(( rdiv . calcFunc-div)
1662 ( iquo . calcFunc-idiv)
1663 ( irem . calcFunc-mod)
1664 ( remain . calcFunc-mod)
1665 ( floor . calcFunc-floor)
1666 ( iPart . calcFunc-floor)
1667 ( ceil . calcFunc-ceil)
1668 ( ceiling . calcFunc-ceil)
1670 ( real . calcFunc-re)
1672 ( imag . calcFunc-im)
1673 ( float2rational . calcFunc-pfrac)
1674 ( exact . calcFunc-pfrac)
1675 ( evalf . calcFunc-pfloat)
1676 ( bitand . calcFunc-and)
1677 ( bitor . calcFunc-or)
1678 ( bitxor . calcFunc-xor)
1679 ( asin . calcFunc-arcsin)
1680 ( acos . calcFunc-arccos)
1681 ( atan . calcFunc-arctan)
1682 ( asinh . calcFunc-arcsinh)
1683 ( acosh . calcFunc-arccosh)
1684 ( atanh . calcFunc-arctanh)
1685 ( log . calcFunc-ln)
1686 ( logb . calcFunc-log)
1687 ( factorial . calcFunc-fact)
1688 ( comb . calcFunc-choose)
1689 ( binomial . calcFunc-choose)
1690 ( nCr . calcFunc-choose)
1691 ( perm . calcFunc-perm)
1692 ( nPr . calcFunc-perm)
1693 ( bernoulli . calcFunc-bern)
1694 ( is_prime . calcFunc-prime)
1695 ( isprime . calcFunc-prime)
1696 ( isPrime . calcFunc-prime)
1697 ( ifactors . calcFunc-prfac)
1698 ( euler . calcFunc-totient)
1699 ( phi . calcFunc-totient)
1700 ( rand . calcFunc-random)
1701 ( concat . calcFunc-vconcat)
1702 ( augment . calcFunc-vconcat)
1703 ( mid . calcFunc-subvec)
1704 ( length . calcFunc-length)
1705 ( size . calcFunc-length)
1706 ( nops . calcFunc-length)
1707 ( SortA . calcFunc-sort)
1708 ( SortB . calcFunc-rsort)
1709 ( revlist . calcFunc-rev)
1710 ( cross . calcFunc-cross)
1711 ( crossP . calcFunc-cross)
1712 ( crossproduct . calcFunc-cross)
1713 ( mul . calcFunc-mul)
1714 ( dot . calcFunc-mul)
1715 ( dotprod . calcFunc-mul)
1716 ( dotP . calcFunc-mul)
1717 ( scalar_product . calcFunc-mul)
1718 ( scalar_Product . calcFunc-mul)
1719 ( row . calcFunc-mrow)
1720 ( col . calcFunc-mcol)
1721 ( dim . calcFunc-mdims)
1722 ( tran . calcFunc-trn)
1723 ( transpose . calcFunc-trn)
1724 ( lu . calcFunc-lud)
1725 ( trace . calcFunc-tr)
1726 ( member . calcFunc-in)
1727 ( sum . calcFunc-vsum)
1728 ( add . calcFunc-vsum)
1729 ( product . calcFunc-vprod)
1730 ( mean . calcFunc-vmean)
1731 ( median . calcFunc-vmedian)
1732 ( stddev . calcFunc-vsdev)
1733 ( stddevp . calcFunc-vpsdev)
1734 ( variance . calcFunc-vpvar)
1735 ( map . calcFunc-map)
1736 ( apply . calcFunc-map)
1737 ( of . calcFunc-map)
1738 ( zip . calcFunc-map)
1739 ( expand . calcFunc-expand)
1740 ( fdistrib . calcFunc-expand)
1741 ( partfrac . calcFunc-apart)
1742 ( ratnormal . calcFunc-nrat)
1743 ( diff . calcFunc-deriv)
1744 ( derive . calcFunc-deriv)
1745 ( integrate . calcFunc-integ)
1746 ( int . calcFunc-integ)
1747 ( Int . calcFunc-integ)
1748 ( romberg . calcFunc-ninteg)
1749 ( nInt . calcFunc-ninteg)
1750 ( lcoeff . calcFunc-plead)
1751 ( content . calcFunc-pcont)
1752 ( primpart . calcFunc-pprim)
1753 ( quo . calcFunc-pdiv)
1754 ( rem . calcFunc-prem)
1755 ( quorem . calcFunc-pdivrem)
1756 ( divide . calcFunc-pdivrem)
1757 ( equal . calcFunc-eq)
1758 ( ifte . calcFunc-if)
1759 ( not . calcFunc-lnot)
1760 ( rhs . calcFunc-rmeq)
1761 ( right . calcFunc-rmeq)
1762 ( prepend . (math-lang-switch-args calcFunc-cons))
1763 ( contains . (math-lang-switch-args calcFunc-in))
1764 ( has . (math-lang-switch-args calcFunc-refers))))
1766 (defun math-lang-switch-args (f val)
1767 "Read the arguments to a Calc function in reverse order.
1768 This is used for various language modes which have functions in reverse
1770 (let ((args (math-read-expr-list)))
1776 (put 'giac 'math-parse-table
1779 (var ArgA var-ArgA))))
1781 (put 'giac 'math-special-function-table
1782 '((calcFunc-cons . (math-lang-compose-switch-args "prepend"))
1783 (calcFunc-in . (math-lang-compose-switch-args "contains"))
1784 (calcFunc-refers . (math-lang-compose-switch-args "has"))
1785 (intv . math-compose-maple-intv)))
1787 (defun math-lang-compose-switch-args (a fn)
1788 "Compose the arguments to a Calc function in reverse order.
1789 This is used for various language modes which have functions in reverse
1791 (list 'horiz (nth 1 fn)
1793 (math-compose-expr (nth 2 a) 0)
1795 (math-compose-expr (nth 1 a) 0)
1798 (put 'giac 'math-variable-table
1799 '(( infinity . var-inf)
1800 ( infinity . var-uinf)))
1802 (put 'giac 'math-complex-format 'i)
1804 (add-to-list 'calc-lang-allow-underscores 'giac)
1806 (put 'giac 'math-compose-subscr
1809 (let ((args (cdr (cdr a))))
1811 (math-compose-expr (nth 1 a) 1000)
1814 (calc-normalize (list '- (nth 2 a) 1)) 0)
1817 (defun math-read-giac-subscr (x op)
1818 (let ((idx (math-read-expr-level 0)))
1819 (or (equal math-expr-data "]")
1820 (throw 'syntax "Expected ']'"))
1822 (list 'calcFunc-subscr x (calc-normalize (list '+ idx 1)))))
1824 (add-to-list 'calc-lang-c-type-hex 'giac)
1827 (defun calc-mathematica-language ()
1830 (calc-set-language 'math)
1831 (message "Mathematica language mode")))
1833 (put 'math 'math-oper-table
1834 '( ( "[[" (math-read-math-subscr) 250 -1 )
1835 ( "!" calcFunc-fact 210 -1 )
1836 ( "!!" calcFunc-dfact 210 -1 )
1838 ( "u+" ident -1 197 )
1845 ( "<" calcFunc-lt 160 161 )
1846 ( ">" calcFunc-gt 160 161 )
1847 ( "<=" calcFunc-leq 160 161 )
1848 ( ">=" calcFunc-geq 160 161 )
1849 ( "==" calcFunc-eq 150 151 )
1850 ( "!=" calcFunc-neq 150 151 )
1851 ( "u!" calcFunc-lnot -1 121 )
1852 ( "&&" calcFunc-land 110 111 )
1853 ( "||" calcFunc-lor 100 101 )
1854 ( "!!!" calcFunc-pnot -1 85 )
1855 ( "&&&" calcFunc-pand 80 81 )
1856 ( "|||" calcFunc-por 75 76 )
1857 ( ":=" calcFunc-assign 51 50 )
1858 ( "=" calcFunc-assign 51 50 )
1859 ( "->" calcFunc-assign 51 50 )
1860 ( ":>" calcFunc-assign 51 50 )
1861 ( "::" calcFunc-condition 45 46 )
1864 (put 'math 'math-function-table
1865 '( ( Abs . calcFunc-abs )
1866 ( ArcCos . calcFunc-arccos )
1867 ( ArcCosh . calcFunc-arccosh )
1868 ( ArcSin . calcFunc-arcsin )
1869 ( ArcSinh . calcFunc-arcsinh )
1870 ( ArcTan . calcFunc-arctan )
1871 ( ArcTanh . calcFunc-arctanh )
1872 ( Arg . calcFunc-arg )
1873 ( Binomial . calcFunc-choose )
1874 ( Ceiling . calcFunc-ceil )
1875 ( Conjugate . calcFunc-conj )
1876 ( Cos . calcFunc-cos )
1877 ( Cosh . calcFunc-cosh )
1878 ( Cot . calcFunc-cot )
1879 ( Coth . calcFunc-coth )
1880 ( Csc . calcFunc-csc )
1881 ( Csch . calcFunc-csch )
1882 ( D . calcFunc-deriv )
1883 ( Dt . calcFunc-tderiv )
1884 ( Det . calcFunc-det )
1885 ( Exp . calcFunc-exp )
1886 ( EulerPhi . calcFunc-totient )
1887 ( Floor . calcFunc-floor )
1888 ( Gamma . calcFunc-gamma )
1889 ( GCD . calcFunc-gcd )
1890 ( If . calcFunc-if )
1891 ( Im . calcFunc-im )
1892 ( Inverse . calcFunc-inv )
1893 ( Integrate . calcFunc-integ )
1894 ( Join . calcFunc-vconcat )
1895 ( LCM . calcFunc-lcm )
1896 ( Log . calcFunc-ln )
1897 ( Max . calcFunc-max )
1898 ( Min . calcFunc-min )
1899 ( Mod . calcFunc-mod )
1900 ( MoebiusMu . calcFunc-moebius )
1901 ( Random . calcFunc-random )
1902 ( Round . calcFunc-round )
1903 ( Re . calcFunc-re )
1904 ( Sec . calcFunc-sec )
1905 ( Sech . calcFunc-sech )
1906 ( Sign . calcFunc-sign )
1907 ( Sin . calcFunc-sin )
1908 ( Sinh . calcFunc-sinh )
1909 ( Sqrt . calcFunc-sqrt )
1910 ( Tan . calcFunc-tan )
1911 ( Tanh . calcFunc-tanh )
1912 ( Transpose . calcFunc-trn )
1913 ( Length . calcFunc-vlen )
1916 (put 'math 'math-variable-table
1920 ( GoldenRatio . var-phi )
1921 ( EulerGamma . var-gamma )
1922 ( Infinity . var-inf )
1923 ( ComplexInfinity . var-uinf )
1924 ( Indeterminate . var-nan )
1927 (put 'math 'math-vector-brackets "{}")
1928 (put 'math 'math-complex-format 'I)
1929 (put 'math 'math-function-open "[")
1930 (put 'math 'math-function-close "]")
1932 (put 'math 'math-radix-formatter
1933 (function (lambda (r s) (format "%d^^%s" r s))))
1935 (put 'math 'math-lang-read
1936 '((eq (string-match "\\[\\[\\|->\\|:>" math-exp-str math-exp-pos)
1938 (setq math-exp-token 'punc
1939 math-expr-data (math-match-substring math-exp-str 0)
1940 math-exp-pos (match-end 0))))
1942 (put 'math 'math-compose-subscr
1946 (math-compose-expr (nth 1 a) 1000)
1948 (math-compose-expr (nth 2 a) 0)
1951 (defun math-read-math-subscr (x op)
1952 (let ((idx (math-read-expr-level 0)))
1953 (or (and (equal math-expr-data "]")
1956 (equal math-expr-data "]")))
1957 (throw 'syntax "Expected ']]'"))
1959 (list 'calcFunc-subscr x idx)))
1962 (defun calc-maple-language ()
1965 (calc-set-language 'maple)
1966 (message "Maple language mode")))
1968 (put 'maple 'math-oper-table
1969 '( ( "matrix" ident -1 300 )
1970 ( "MATRIX" ident -1 300 )
1971 ( "!" calcFunc-fact 210 -1 )
1974 ( "u+" ident -1 197 )
1978 ( "intersect" calcFunc-vint 191 192 )
1981 ( "union" calcFunc-vunion 180 181 )
1982 ( "minus" calcFunc-vdiff 180 181 )
1984 ( ".." (math-read-maple-dots) 165 165 )
1985 ( "\\dots" (math-read-maple-dots) 165 165 )
1986 ( "<" calcFunc-lt 160 160 )
1987 ( ">" calcFunc-gt 160 160 )
1988 ( "<=" calcFunc-leq 160 160 )
1989 ( ">=" calcFunc-geq 160 160 )
1990 ( "=" calcFunc-eq 160 160 )
1991 ( "<>" calcFunc-neq 160 160 )
1992 ( "not" calcFunc-lnot -1 121 )
1993 ( "and" calcFunc-land 110 111 )
1994 ( "or" calcFunc-lor 100 101 )
1995 ( "!!!" calcFunc-pnot -1 85 )
1996 ( "&&&" calcFunc-pand 80 81 )
1997 ( "|||" calcFunc-por 75 76 )
1998 ( ":=" calcFunc-assign 51 50 )
1999 ( "::" calcFunc-condition 45 46 )
2002 (put 'maple 'math-function-table
2003 '( ( bernoulli . calcFunc-bern )
2004 ( binomial . calcFunc-choose )
2005 ( diff . calcFunc-deriv )
2006 ( GAMMA . calcFunc-gamma )
2007 ( ifactor . calcFunc-prfac )
2008 ( igcd . calcFunc-gcd )
2009 ( ilcm . calcFunc-lcm )
2010 ( int . calcFunc-integ )
2013 ( iquo . calcFunc-idiv )
2014 ( isprime . calcFunc-prime )
2015 ( length . calcFunc-vlen )
2016 ( member . calcFunc-in )
2017 ( crossprod . calcFunc-cross )
2018 ( inverse . calcFunc-inv )
2019 ( trace . calcFunc-tr )
2020 ( transpose . calcFunc-trn )
2021 ( vectdim . calcFunc-vlen )
2024 (put 'maple 'math-special-function-table
2025 '((intv . math-compose-maple-intv)))
2027 (put 'maple 'math-variable-table
2031 ( infinity . var-inf )
2032 ( infinity . var-uinf )
2033 ( infinity . var-nan )
2036 (put 'maple 'math-complex-format 'I)
2038 (put 'maple 'math-matrix-formatter
2043 math-comp-left-bracket
2044 (math-compose-vector (cdr a)
2045 (concat math-comp-comma " ")
2046 math-comp-vector-prec)
2047 math-comp-right-bracket
2050 (put 'maple 'math-compose-subscr
2053 (let ((args (cdr (cdr a))))
2055 (math-compose-expr (nth 1 a) 1000)
2057 (math-compose-vector args ", " 0)
2060 (add-to-list 'calc-lang-allow-underscores 'maple)
2061 (add-to-list 'calc-lang-brackets-are-subscripts 'maple)
2063 (defun math-compose-maple-intv (a)
2065 (math-compose-expr (nth 2 a) 0)
2067 (math-compose-expr (nth 3 a) 0)))
2069 (defun math-read-maple-dots (x op)
2070 (list 'intv 3 x (math-read-expr-level (nth 3 op))))
2073 ;; The variable math-read-big-lines is local to math-read-big-expr in
2074 ;; calc-ext.el, but is used by math-read-big-rec, math-read-big-char,
2075 ;; math-read-big-emptyp, math-read-big-error and math-read-big-balance,
2076 ;; which are called (directly and indirectly) by math-read-big-expr.
2077 ;; It is also local to math-read-big-bigp in calc-ext.el, which calls
2078 ;; math-read-big-balance.
2079 (defvar math-read-big-lines)
2081 ;; The variables math-read-big-baseline and math-read-big-h2 are
2082 ;; local to math-read-big-expr in calc-ext.el, but used by
2083 ;; math-read-big-rec.
2084 (defvar math-read-big-baseline)
2085 (defvar math-read-big-h2)
2087 ;; The variables math-rb-h1, math-rb-h2, math-rb-v1 and math-rb-v2
2088 ;; are local to math-read-big-rec, but are used by math-read-big-char,
2089 ;; math-read-big-emptyp and math-read-big-balance which are called by
2090 ;; math-read-big-rec.
2091 ;; math-rb-h2 is also local to math-read-big-bigp in calc-ext.el,
2092 ;; which calls math-read-big-balance.
2098 (defun math-read-big-rec (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2
2099 &optional baseline prec short)
2100 (or prec (setq prec 0))
2102 ;; Clip whitespace above or below.
2103 (while (and (< math-rb-v1 math-rb-v2)
2104 (math-read-big-emptyp math-rb-h1 math-rb-v1 math-rb-h2 (1+ math-rb-v1)))
2105 (setq math-rb-v1 (1+ math-rb-v1)))
2106 (while (and (< math-rb-v1 math-rb-v2)
2107 (math-read-big-emptyp math-rb-h1 (1- math-rb-v2) math-rb-h2 math-rb-v2))
2108 (setq math-rb-v2 (1- math-rb-v2)))
2110 ;; If formula is a single line high, normal parser can handle it.
2111 (if (<= math-rb-v2 (1+ math-rb-v1))
2112 (if (or (<= math-rb-v2 math-rb-v1)
2113 (> math-rb-h1 (length (setq math-rb-v2
2114 (nth math-rb-v1 math-read-big-lines)))))
2115 (math-read-big-error math-rb-h1 math-rb-v1)
2116 (setq math-read-big-baseline math-rb-v1
2117 math-read-big-h2 math-rb-h2
2118 math-rb-v2 (nth math-rb-v1 math-read-big-lines)
2119 math-rb-h2 (math-read-expr
2120 (substring math-rb-v2 math-rb-h1
2121 (min math-rb-h2 (length math-rb-v2)))))
2122 (if (eq (car-safe math-rb-h2) 'error)
2123 (math-read-big-error (+ math-rb-h1 (nth 1 math-rb-h2))
2124 math-rb-v1 (nth 2 math-rb-h2))
2127 ;; Clip whitespace at left or right.
2128 (while (and (< math-rb-h1 math-rb-h2)
2129 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) math-rb-v2))
2130 (setq math-rb-h1 (1+ math-rb-h1)))
2131 (while (and (< math-rb-h1 math-rb-h2)
2132 (math-read-big-emptyp (1- math-rb-h2) math-rb-v1 math-rb-h2 math-rb-v2))
2133 (setq math-rb-h2 (1- math-rb-h2)))
2135 ;; Scan to find widest left-justified "----" in the region.
2138 (lines-v1 (nthcdr math-rb-v1 math-read-big-lines))
2142 other-char line len h)
2143 (while (< v math-rb-v2)
2145 len (min math-rb-h2 (length line)))
2146 (and (< math-rb-h1 len)
2147 (/= (aref line math-rb-h1) ?\ )
2148 (if (and (= (aref line math-rb-h1) ?\-)
2149 ;; Make sure it's not a minus sign.
2150 (or (and (< (1+ math-rb-h1) len)
2151 (= (aref line (1+ math-rb-h1)) ?\-))
2152 (/= (math-read-big-char math-rb-h1 (1- v)) ?\ )
2153 (/= (math-read-big-char math-rb-h1 (1+ v)) ?\ )))
2156 (while (and (< (setq h (1+ h)) len)
2157 (= (aref line h) ?\-)))
2161 (or other-v (setq other-v v other-char (aref line math-rb-h1)))))
2165 (cond ((not (setq v other-v))
2166 (math-read-big-error math-rb-h1 math-rb-v1)) ; Should never happen!
2172 (let ((num (math-read-big-rec math-rb-h1 math-rb-v1 h v))
2173 (den (math-read-big-rec math-rb-h1 (1+ v) h math-rb-v2)))
2174 (setq p (if (and (math-integerp num) (math-integerp den))
2175 (math-make-frac num den)
2176 (list '/ num den)))))
2178 ;; Big radical sign.
2180 (or (= (math-read-big-char (1+ math-rb-h1) v) ?\|)
2181 (math-read-big-error (1+ math-rb-h1) v "Malformed root sign"))
2182 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2183 (while (= (math-read-big-char (1+ math-rb-h1) (setq v (1- v))) ?\|))
2184 (or (= (math-read-big-char (setq h (+ math-rb-h1 2)) v) ?\_)
2185 (math-read-big-error h v "Malformed root sign"))
2186 (while (= (math-read-big-char (setq h (1+ h)) v) ?\_))
2187 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2188 (math-read-big-emptyp math-rb-h1 (1+ other-v) h math-rb-v2 nil t)
2189 (setq p (list 'calcFunc-sqrt (math-read-big-rec
2190 (+ math-rb-h1 2) (1+ v)
2191 h (1+ other-v) baseline))
2192 v math-read-big-baseline))
2194 ;; Small radical sign.
2195 ((and (= other-char ?V)
2196 (= (math-read-big-char (1+ math-rb-h1) (1- v)) ?\_))
2197 (setq h (1+ math-rb-h1))
2198 (math-read-big-emptyp math-rb-h1 math-rb-v1 h (1- v) nil t)
2199 (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t)
2200 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2201 (while (= (math-read-big-char (setq h (1+ h)) (1- v)) ?\_))
2202 (setq p (list 'calcFunc-sqrt (math-read-big-rec
2203 (1+ math-rb-h1) v h (1+ v) t))
2204 v math-read-big-baseline))
2206 ;; Binomial coefficient.
2207 ((and (= other-char ?\()
2208 (= (math-read-big-char (1+ math-rb-h1) v) ?\ )
2209 (= (string-match "( *)" (nth v math-read-big-lines)
2210 math-rb-h1) math-rb-h1))
2211 (setq h (match-end 0))
2212 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2213 (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t)
2214 (math-read-big-emptyp (1- h) math-rb-v1 h v nil t)
2215 (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t)
2216 (setq p (list 'calcFunc-choose
2217 (math-read-big-rec (1+ math-rb-h1) math-rb-v1 (1- h) v)
2218 (math-read-big-rec (1+ math-rb-h1) (1+ v)
2219 (1- h) math-rb-v2))))
2223 (setq p (list 'neg (math-read-big-rec (1+ math-rb-h1) math-rb-v1
2224 math-rb-h2 math-rb-v2 v 250 t))
2225 v math-read-big-baseline
2226 h math-read-big-h2))
2230 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2231 (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t)
2232 (setq h (math-read-big-balance (1+ math-rb-h1) v "(" t))
2233 (math-read-big-emptyp (1- h) math-rb-v1 h v nil t)
2234 (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t)
2235 (let ((sep (math-read-big-char (1- h) v))
2240 (math-read-big-error (1- h) v "Expected `)'"))
2242 (setq p (math-read-big-rec
2243 (1+ math-rb-h1) math-rb-v1 (1- h) math-rb-v2 v))
2244 (setq hmid (math-read-big-balance h v "(")
2246 (math-read-big-rec h math-rb-v1 (1- hmid) math-rb-v2 v))
2249 (setq p (cons 'intv (cons (if (= (math-read-big-char
2254 ((= (math-read-big-char (1- h) v) ?\])
2255 (math-read-big-error (1- h) v "Expected `)'"))
2257 (or (and (math-realp (car p)) (math-realp (nth 1 p)))
2258 (math-read-big-error
2259 math-rb-h1 v "Complex components must be real"))
2260 (setq p (cons 'cplx p)))
2262 (or (and (math-realp (car p)) (math-anglep (nth 1 p)))
2263 (math-read-big-error
2264 math-rb-h1 v "Complex components must be real"))
2265 (setq p (cons 'polar p)))))))
2268 ((and (= other-char ?\[)
2269 (or (= (math-read-big-char (setq h math-rb-h1) (1+ v)) ?\[)
2270 (= (math-read-big-char (setq h (1+ h)) v) ?\[)
2271 (and (= (math-read-big-char h v) ?\ )
2272 (= (math-read-big-char (setq h (1+ h)) v) ?\[)))
2273 (= (math-read-big-char h (1+ v)) ?\[))
2274 (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t)
2280 (setq h (math-read-big-balance (1+ hleft) v "["))
2283 (math-read-big-error hright v "Expected `]'"))
2285 (setq p (cons (math-read-big-rec
2286 hleft v h (1+ v)) p))
2287 (and (memq (math-read-big-char h v) '(?\ ?\,))
2288 (= (math-read-big-char hleft (1+ v)) ?\[)))
2290 (or (= hleft math-rb-h1)
2292 (if (= (math-read-big-char h v) ?\ )
2294 (and (= (math-read-big-char h v) ?\])
2296 (math-read-big-error (1- h) v "Expected `]'"))
2297 (if (= (math-read-big-char h vtop) ?\,)
2299 (math-read-big-emptyp math-rb-h1 (1+ v) (1- h) math-rb-v2 nil t)
2300 (setq v (+ vtop (/ (- v vtop) 2))
2301 p (cons 'vec (nreverse p)))))
2305 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2306 (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t)
2310 (setq widest (math-read-big-balance h v "[" t))
2311 (math-read-big-emptyp (1- h) math-rb-v1 h v nil t)
2312 (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t)
2313 (setq p (cons (math-read-big-rec
2314 h math-rb-v1 (1- widest) math-rb-v2 v) p)
2316 (= (math-read-big-char (1- h) v) ?\,)))
2317 (setq widest (math-read-big-char (1- h) v))
2318 (if (or (memq widest '(?\; ?\)))
2319 (and (eq widest ?\.) (cdr p)))
2320 (math-read-big-error (1- h) v "Expected `]'"))
2323 widest (math-read-big-balance h v "[")
2324 p (nconc p (list (math-read-big-rec
2325 h math-rb-v1 (1- widest) math-rb-v2 v)))
2327 p (cons 'intv (cons (if (= (math-read-big-char (1- h) v)
2331 (setq p (cons 'vec (nreverse p)))))
2335 (setq line (nth v math-read-big-lines))
2336 (string-match ">" line math-rb-h1)
2337 (setq h (match-end 0))
2338 (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t)
2339 (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t)
2340 (setq p (math-read-big-rec math-rb-h1 v h (1+ v) v)))
2342 ;; Variable name or function call.
2343 ((or (and (>= other-char ?a) (<= other-char ?z))
2344 (and (>= other-char ?A) (<= other-char ?Z))
2345 (and (>= other-char ?α) (<= other-char ?ω))
2346 (and (>= other-char ?Α) (<= other-char ?Ω)))
2347 (setq line (nth v math-read-big-lines))
2348 (string-match "\\([a-zA-Zα-ωΑ-Ω'_]+\\) *" line math-rb-h1)
2349 (setq h (match-end 1)
2350 widest (match-end 0)
2351 p (math-match-substring line 1))
2352 (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t)
2353 (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t)
2354 (if (= (math-read-big-char widest v) ?\()
2356 (setq line (if (string-match "-" p)
2358 (intern (concat "calcFunc-" p)))
2361 (math-read-big-emptyp widest math-rb-v1 h v nil t)
2362 (math-read-big-emptyp widest (1+ v) h math-rb-v2 nil t)
2364 (setq widest (math-read-big-balance h v "(" t))
2365 (math-read-big-emptyp (1- h) math-rb-v1 h v nil t)
2366 (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t)
2367 (setq p (cons (math-read-big-rec
2368 h math-rb-v1 (1- widest) math-rb-v2 v) p)
2370 (= (math-read-big-char (1- h) v) ?\,)))
2371 (or (= (math-read-big-char (1- h) v) ?\))
2372 (math-read-big-error (1- h) v "Expected `)'"))
2373 (setq p (cons line (nreverse p))))
2375 (intern (math-remove-dashes p))
2376 (if (string-match "-" p)
2378 (intern (concat "var-" p)))))))
2382 (setq line (nth v math-read-big-lines))
2383 (or (= (string-match "_?\\([0-9]+.?0*@ *\\)?\\([0-9]+.?0*' *\\)?\\([0-9]+\\(#\\|\\^\\^\\)[0-9a-zA-Z:]+\\|[0-9]+:[0-9:]+\\|[0-9.]+\\([eE][-+_]?[0-9]+\\)?\"?\\)?" line math-rb-h1) math-rb-h1)
2384 (math-read-big-error h v "Expected a number"))
2385 (setq h (match-end 0)
2386 p (math-read-number (math-match-substring line 0)))
2387 (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t)
2388 (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t)))
2390 ;; Now left term is bounded by math-rb-h1, math-rb-v1, h, math-rb-v2;
2394 (math-read-big-error math-rb-h1 v "Inconsistent baseline in formula"))
2397 ;; Look for superscripts or subscripts.
2398 (setq line (nth baseline math-read-big-lines)
2399 len (min math-rb-h2 (length line))
2401 (while (and (< widest len)
2402 (= (aref line widest) ?\ ))
2403 (setq widest (1+ widest)))
2404 (and (>= widest len) (setq widest math-rb-h2))
2405 (if (math-read-big-emptyp h v widest math-rb-v2)
2406 (if (math-read-big-emptyp h math-rb-v1 widest v)
2408 (setq p (list '^ p (math-read-big-rec h math-rb-v1 widest v))
2410 (if (math-read-big-emptyp h math-rb-v1 widest v)
2411 (setq p (list 'calcFunc-subscr p
2412 (math-read-big-rec h v widest math-rb-v2))
2415 ;; Look for an operator name and grab additional terms.
2416 (while (and (< h len)
2417 (if (setq widest (and (math-read-big-emptyp
2418 h math-rb-v1 (1+ h) v)
2419 (math-read-big-emptyp
2420 h (1+ v) (1+ h) math-rb-v2)
2421 (string-match "<=\\|>=\\|\\+/-\\|!=\\|&&\\|||\\|:=\\|=>\\|." line h)
2422 (assoc (math-match-substring line 0)
2423 (math-standard-ops))))
2424 (and (>= (nth 2 widest) prec)
2425 (setq h (match-end 0)))
2426 (and (not (eq (string-match ",\\|;\\|\\.\\.\\|)\\|\\]\\|:" line h)
2428 (setq widest '("2x" * 196 195)))))
2429 (cond ((eq (nth 3 widest) -1)
2430 (setq p (list (nth 1 widest) p)))
2431 ((equal (car widest) "?")
2432 (let ((y (math-read-big-rec h math-rb-v1 math-rb-h2
2433 math-rb-v2 baseline nil t)))
2434 (or (= (math-read-big-char math-read-big-h2 baseline) ?\:)
2435 (math-read-big-error math-read-big-h2 baseline "Expected `:'"))
2436 (setq p (list (nth 1 widest) p y
2438 (1+ math-read-big-h2) math-rb-v1 math-rb-h2 math-rb-v2
2439 baseline (nth 3 widest) t))
2440 h math-read-big-h2)))
2442 (setq p (list (nth 1 widest) p
2443 (math-read-big-rec h math-rb-v1 math-rb-h2 math-rb-v2
2444 baseline (nth 3 widest) t))
2445 h math-read-big-h2))))
2447 ;; Return all relevant information to caller.
2448 (setq math-read-big-baseline baseline
2450 (or short (= math-read-big-h2 math-rb-h2)
2451 (math-read-big-error h baseline))
2454 (defun math-read-big-char (h v)
2455 (or (and (>= h math-rb-h1)
2459 (let ((line (nth v math-read-big-lines)))
2465 (defun math-read-big-emptyp (eh1 ev1 eh2 ev2 &optional what error)
2466 (and (< ev1 math-rb-v1) (setq ev1 math-rb-v1))
2467 (and (< eh1 math-rb-h1) (setq eh1 math-rb-h1))
2468 (and (> ev2 math-rb-v2) (setq ev2 math-rb-v2))
2469 (and (> eh2 math-rb-h2) (setq eh2 math-rb-h2))
2470 (or what (setq what ?\ ))
2471 (let ((p (nthcdr ev1 math-read-big-lines))
2473 (while (and (< ev1 ev2)
2475 (setq h (min eh2 (length (car p))))
2476 (while (and (>= (setq h (1- h)) eh1)
2477 (= (aref (car p) h) what)))
2478 (and error (>= h eh1)
2479 (math-read-big-error h ev1 (if (stringp error)
2481 "Whitespace expected")))
2487 ;; math-read-big-err-msg is local to math-read-big-expr in calc-ext.el,
2488 ;; but is used by math-read-big-error which is called (indirectly) by
2489 ;; math-read-big-expr.
2490 (defvar math-read-big-err-msg)
2492 (defun math-read-big-error (h v &optional msg)
2494 (p math-read-big-lines))
2496 (setq pos (+ pos 1 (length (car p)))
2499 (setq h (+ pos (min h (length (car p))))
2500 math-read-big-err-msg (list 'error h (or msg "Syntax error")))
2501 (throw 'syntax nil)))
2503 (defun math-read-big-balance (h v what &optional commas)
2504 (let* ((line (nth v math-read-big-lines))
2505 (len (min math-rb-h2 (length line)))
2510 (math-read-big-error nil v (format "Unmatched `%s'" what))
2512 (if (memq (aref line h) '(?\( ?\[))
2513 (setq count (1+ count))
2514 (if (if (and commas (= count 1))
2515 (or (memq (aref line h) '(?\) ?\] ?\, ?\;))
2516 (and (eq (aref line h) ?\.)
2518 (eq (aref line (1+ h)) ?\.)))
2519 (memq (aref line h) '(?\) ?\])))
2520 (setq count (1- count))))
2524 (provide 'calc-lang)
2530 ;;; calc-lang.el ends here