* net/ldap.el (ldap-search-internal): Tweak URL regexp.
[bpt/emacs.git] / lisp / calc / calc-lang.el
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1;;; calc-lang.el --- calc language functions
2
58ba2f8f 3;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
8b72699e 4;; 2005, 2006, 2007, 2008 Free Software Foundation, Inc.
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5
6;; Author: David Gillespie <daveg@synaptics.com>
e8fff8ed 7;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
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8
9;; This file is part of GNU Emacs.
10
662c9c64 11;; GNU Emacs is free software: you can redistribute it and/or modify
7c671b23 12;; it under the terms of the GNU General Public License as published by
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13;; the Free Software Foundation, either version 3 of the License, or
14;; (at your option) any later version.
7c671b23 15
136211a9 16;; GNU Emacs is distributed in the hope that it will be useful,
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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.
20
21;; You should have received a copy of the GNU General Public License
662c9c64 22;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
136211a9 23
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24;;; Commentary:
25
26;;; Code:
136211a9 27
136211a9 28;; This file is autoloaded from calc-ext.el.
136211a9 29
4b37638f 30(require 'calc-ext)
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31(require 'calc-macs)
32
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33
34;; Declare functions which are defined elsewhere.
7cf24610 35(declare-function math-compose-vector "calccomp" (a sep prec))
3ae7df79 36(declare-function math-compose-var "calccomp" (a))
7cf24610 37(declare-function math-tex-expr-is-flat "calccomp" (a))
41f4eebc
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38(declare-function math-read-factor "calc-aent" ())
39(declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term))
40
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41;; Declare variables which are defined elsewhere.
42(defvar calc-lang-slash-idiv)
43(defvar calc-lang-allow-underscores)
8c1bb960 44(defvar calc-lang-allow-percentsigns)
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45(defvar math-comp-left-bracket)
46(defvar math-comp-right-bracket)
47(defvar math-comp-comma)
48(defvar math-comp-vector-prec)
49
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50;;; Alternate entry/display languages.
51
52(defun calc-set-language (lang &optional option no-refresh)
09be88b3 53 (setq math-expr-opers (or (get lang 'math-oper-table) (math-standard-ops))
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54 math-expr-function-mapping (get lang 'math-function-table)
55 math-expr-variable-mapping (get lang 'math-variable-table)
56 calc-language-input-filter (get lang 'math-input-filter)
57 calc-language-output-filter (get lang 'math-output-filter)
58 calc-vector-brackets (or (get lang 'math-vector-brackets) "[]")
59 calc-complex-format (get lang 'math-complex-format)
60 calc-radix-formatter (get lang 'math-radix-formatter)
61 calc-function-open (or (get lang 'math-function-open) "(")
62 calc-function-close (or (get lang 'math-function-close) ")"))
63 (if no-refresh
64 (setq calc-language lang
65 calc-language-option option)
66 (calc-change-mode '(calc-language calc-language-option)
bf77c646 67 (list lang option) t)))
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68
69(defun calc-normal-language ()
70 (interactive)
71 (calc-wrapper
72 (calc-set-language nil)
3132f345 73 (message "Normal language mode")))
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74
75(defun calc-flat-language ()
76 (interactive)
77 (calc-wrapper
78 (calc-set-language 'flat)
3132f345 79 (message "Flat language mode (all stack entries shown on one line)")))
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80
81(defun calc-big-language ()
82 (interactive)
83 (calc-wrapper
84 (calc-set-language 'big)
3132f345 85 (message "\"Big\" language mode")))
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86
87(defun calc-unformatted-language ()
88 (interactive)
89 (calc-wrapper
90 (calc-set-language 'unform)
3132f345 91 (message "Unformatted language mode")))
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92
93
94(defun calc-c-language ()
95 (interactive)
96 (calc-wrapper
97 (calc-set-language 'c)
3132f345 98 (message "`C' language mode")))
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99
100(put 'c 'math-oper-table
ca54ae34 101 '( ( "u!" calcFunc-lnot -1 1000 )
136211a9 102 ( "~" calcFunc-not -1 1000 )
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103 ( "u+" ident -1 197 )
104 ( "u-" neg -1 197 )
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105 ( "*" * 190 191 )
106 ( "/" / 190 191 )
107 ( "%" % 190 191 )
108 ( "+" + 180 181 )
109 ( "-" - 180 181 )
110 ( "<<" calcFunc-lsh 170 171 )
111 ( ">>" calcFunc-rsh 170 171 )
112 ( "<" calcFunc-lt 160 161 )
113 ( ">" calcFunc-gt 160 161 )
114 ( "<=" calcFunc-leq 160 161 )
115 ( ">=" calcFunc-geq 160 161 )
116 ( "==" calcFunc-eq 150 151 )
117 ( "!=" calcFunc-neq 150 151 )
118 ( "&" calcFunc-and 140 141 )
119 ( "^" calcFunc-xor 131 130 )
120 ( "|" calcFunc-or 120 121 )
121 ( "&&" calcFunc-land 110 111 )
122 ( "||" calcFunc-lor 100 101 )
123 ( "?" (math-read-if) 91 90 )
124 ( "!!!" calcFunc-pnot -1 88 )
125 ( "&&&" calcFunc-pand 85 86 )
126 ( "|||" calcFunc-por 75 76 )
127 ( "=" calcFunc-assign 51 50 )
128 ( ":=" calcFunc-assign 51 50 )
bf77c646 129 ( "::" calcFunc-condition 45 46 ))) ; should support full assignments
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130
131(put 'c 'math-function-table
132 '( ( acos . calcFunc-arccos )
133 ( acosh . calcFunc-arccosh )
134 ( asin . calcFunc-arcsin )
135 ( asinh . calcFunc-arcsinh )
136 ( atan . calcFunc-arctan )
137 ( atan2 . calcFunc-arctan2 )
bf77c646 138 ( atanh . calcFunc-arctanh )))
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139
140(put 'c 'math-variable-table
141 '( ( M_PI . var-pi )
bf77c646 142 ( M_E . var-e )))
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143
144(put 'c 'math-vector-brackets "{}")
145
146(put 'c 'math-radix-formatter
147 (function (lambda (r s)
148 (if (= r 16) (format "0x%s" s)
149 (if (= r 8) (format "0%s" s)
150 (format "%d#%s" r s))))))
151
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152(put 'c 'math-compose-subscr
153 (function
154 (lambda (a)
155 (let ((args (cdr (cdr a))))
156 (list 'horiz
157 (math-compose-expr (nth 1 a) 1000)
158 "["
159 (math-compose-vector args ", " 0)
160 "]")))))
161
162(add-to-list 'calc-lang-slash-idiv 'c)
163(add-to-list 'calc-lang-allow-underscores 'c)
164(add-to-list 'calc-lang-c-type-hex 'c)
165(add-to-list 'calc-lang-brackets-are-subscripts 'c)
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166
167(defun calc-pascal-language (n)
168 (interactive "P")
169 (calc-wrapper
170 (and n (setq n (prefix-numeric-value n)))
171 (calc-set-language 'pascal n)
172 (message (if (and n (/= n 0))
173 (if (> n 0)
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174 "Pascal language mode (all uppercase)"
175 "Pascal language mode (all lowercase)")
176 "Pascal language mode"))))
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177
178(put 'pascal 'math-oper-table
179 '( ( "not" calcFunc-lnot -1 1000 )
180 ( "*" * 190 191 )
181 ( "/" / 190 191 )
182 ( "and" calcFunc-and 190 191 )
183 ( "div" calcFunc-idiv 190 191 )
184 ( "mod" % 190 191 )
185 ( "u+" ident -1 185 )
186 ( "u-" neg -1 185 )
187 ( "+" + 180 181 )
188 ( "-" - 180 181 )
189 ( "or" calcFunc-or 180 181 )
190 ( "xor" calcFunc-xor 180 181 )
191 ( "shl" calcFunc-lsh 180 181 )
192 ( "shr" calcFunc-rsh 180 181 )
193 ( "in" calcFunc-in 160 161 )
194 ( "<" calcFunc-lt 160 161 )
195 ( ">" calcFunc-gt 160 161 )
196 ( "<=" calcFunc-leq 160 161 )
197 ( ">=" calcFunc-geq 160 161 )
198 ( "=" calcFunc-eq 160 161 )
199 ( "<>" calcFunc-neq 160 161 )
200 ( "!!!" calcFunc-pnot -1 85 )
201 ( "&&&" calcFunc-pand 80 81 )
202 ( "|||" calcFunc-por 75 76 )
203 ( ":=" calcFunc-assign 51 50 )
bf77c646 204 ( "::" calcFunc-condition 45 46 )))
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205
206(put 'pascal 'math-input-filter 'calc-input-case-filter)
207(put 'pascal 'math-output-filter 'calc-output-case-filter)
208
209(put 'pascal 'math-radix-formatter
210 (function (lambda (r s)
211 (if (= r 16) (format "$%s" s)
212 (format "%d#%s" r s)))))
213
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214(put 'pascal 'math-lang-read-symbol
215 '((?\$
216 (eq (string-match
217 "\\(\\$[0-9a-fA-F]+\\)\\($\\|[^0-9a-zA-Z]\\)"
218 math-exp-str math-exp-pos)
219 math-exp-pos)
220 (setq math-exp-token 'number
221 math-expr-data (math-match-substring math-exp-str 1)
222 math-exp-pos (match-end 1)))))
223
224(put 'pascal 'math-compose-subscr
225 (function
226 (lambda (a)
227 (let ((args (cdr (cdr a))))
228 (while (eq (car-safe (nth 1 a)) 'calcFunc-subscr)
229 (setq args (append (cdr (cdr (nth 1 a))) args)
230 a (nth 1 a)))
231 (list 'horiz
232 (math-compose-expr (nth 1 a) 1000)
233 "["
234 (math-compose-vector args ", " 0)
235 "]")))))
236
237(add-to-list 'calc-lang-allow-underscores 'pascal)
238(add-to-list 'calc-lang-brackets-are-subscripts 'pascal)
239
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240(defun calc-input-case-filter (str)
241 (cond ((or (null calc-language-option) (= calc-language-option 0))
242 str)
243 (t
bf77c646 244 (downcase str))))
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245
246(defun calc-output-case-filter (str)
247 (cond ((or (null calc-language-option) (= calc-language-option 0))
248 str)
249 ((> calc-language-option 0)
250 (upcase str))
251 (t
bf77c646 252 (downcase str))))
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253
254
255(defun calc-fortran-language (n)
256 (interactive "P")
257 (calc-wrapper
258 (and n (setq n (prefix-numeric-value n)))
259 (calc-set-language 'fortran n)
260 (message (if (and n (/= n 0))
261 (if (> n 0)
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262 "FORTRAN language mode (all uppercase)"
263 "FORTRAN language mode (all lowercase)")
264 "FORTRAN language mode"))))
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265
266(put 'fortran 'math-oper-table
267 '( ( "u/" (math-parse-fortran-vector) -1 1 )
268 ( "/" (math-parse-fortran-vector-end) 1 -1 )
269 ( "**" ^ 201 200 )
270 ( "u+" ident -1 191 )
271 ( "u-" neg -1 191 )
272 ( "*" * 190 191 )
273 ( "/" / 190 191 )
274 ( "+" + 180 181 )
275 ( "-" - 180 181 )
276 ( ".LT." calcFunc-lt 160 161 )
277 ( ".GT." calcFunc-gt 160 161 )
278 ( ".LE." calcFunc-leq 160 161 )
279 ( ".GE." calcFunc-geq 160 161 )
280 ( ".EQ." calcFunc-eq 160 161 )
281 ( ".NE." calcFunc-neq 160 161 )
282 ( ".NOT." calcFunc-lnot -1 121 )
283 ( ".AND." calcFunc-land 110 111 )
284 ( ".OR." calcFunc-lor 100 101 )
285 ( "!!!" calcFunc-pnot -1 85 )
286 ( "&&&" calcFunc-pand 80 81 )
287 ( "|||" calcFunc-por 75 76 )
288 ( "=" calcFunc-assign 51 50 )
289 ( ":=" calcFunc-assign 51 50 )
bf77c646 290 ( "::" calcFunc-condition 45 46 )))
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291
292(put 'fortran 'math-vector-brackets "//")
293
294(put 'fortran 'math-function-table
295 '( ( acos . calcFunc-arccos )
296 ( acosh . calcFunc-arccosh )
297 ( aimag . calcFunc-im )
298 ( aint . calcFunc-ftrunc )
299 ( asin . calcFunc-arcsin )
300 ( asinh . calcFunc-arcsinh )
301 ( atan . calcFunc-arctan )
302 ( atan2 . calcFunc-arctan2 )
303 ( atanh . calcFunc-arctanh )
304 ( conjg . calcFunc-conj )
305 ( log . calcFunc-ln )
306 ( nint . calcFunc-round )
a1506d29 307 ( real . calcFunc-re )))
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308
309(put 'fortran 'math-input-filter 'calc-input-case-filter)
7cf24610 310
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311(put 'fortran 'math-output-filter 'calc-output-case-filter)
312
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313(put 'fortran 'math-lang-read-symbol
314 '((?\.
315 (eq (string-match "\\.[a-zA-Z][a-zA-Z][a-zA-Z]?\\."
316 math-exp-str math-exp-pos) math-exp-pos)
317 (setq math-exp-token 'punc
318 math-expr-data (upcase (math-match-substring math-exp-str 0))
319 math-exp-pos (match-end 0)))))
320
321(put 'fortran 'math-compose-subscr
322 (function
323 (lambda (a)
324 (let ((args (cdr (cdr a))))
325 (while (eq (car-safe (nth 1 a)) 'calcFunc-subscr)
326 (setq args (append (cdr (cdr (nth 1 a))) args)
327 a (nth 1 a)))
328 (list 'horiz
329 (math-compose-expr (nth 1 a) 1000)
330 "("
331 (math-compose-vector args ", " 0)
332 ")")))))
333
334(add-to-list 'calc-lang-slash-idiv 'fortran)
335(add-to-list 'calc-lang-allow-underscores 'fortran)
336(add-to-list 'calc-lang-parens-are-subscripts 'fortran)
337
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338;; The next few variables are local to math-read-exprs in calc-aent.el
339;; and math-read-expr in calc-ext.el, but are set in functions they call.
340
341(defvar math-exp-token)
342(defvar math-expr-data)
343(defvar math-exp-old-pos)
344
3132f345 345(defvar math-parsing-fortran-vector nil)
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346(defun math-parse-fortran-vector (op)
347 (let ((math-parsing-fortran-vector '(end . "\000")))
348 (prog1
349 (math-read-brackets t "]")
679e2630 350 (setq math-exp-token (car math-parsing-fortran-vector)
54961aa0 351 math-expr-data (cdr math-parsing-fortran-vector)))))
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352
353(defun math-parse-fortran-vector-end (x op)
354 (if math-parsing-fortran-vector
355 (progn
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356 (setq math-parsing-fortran-vector (cons math-exp-token math-expr-data)
357 math-exp-token 'end
54961aa0 358 math-expr-data "\000")
136211a9 359 x)
bf77c646 360 (throw 'syntax "Unmatched closing `/'")))
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361
362(defun math-parse-fortran-subscr (sym args)
363 (setq sym (math-build-var-name sym))
364 (while args
365 (setq sym (list 'calcFunc-subscr sym (car args))
366 args (cdr args)))
bf77c646 367 sym)
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368
369
370(defun calc-tex-language (n)
371 (interactive "P")
372 (calc-wrapper
373 (and n (setq n (prefix-numeric-value n)))
374 (calc-set-language 'tex n)
61983af0
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375 (cond ((not n)
376 (message "TeX language mode"))
377 ((= n 0)
378 (message "TeX language mode with multiline matrices"))
379 ((= n 1)
380 (message "TeX language mode with \\hbox{func}(\\hbox{var})"))
381 ((> n 1)
382 (message
383 "TeX language mode with \\hbox{func}(\\hbox{var}) and multiline matrices"))
384 ((= n -1)
385 (message "TeX language mode with \\func(\\hbox{var})"))
386 ((< n -1)
387 (message
388 "TeX language mode with \\func(\\hbox{var}) and multiline matrices")))))
136211a9 389
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390(defun calc-latex-language (n)
391 (interactive "P")
392 (calc-wrapper
393 (and n (setq n (prefix-numeric-value n)))
394 (calc-set-language 'latex n)
395 (cond ((not n)
396 (message "LaTeX language mode"))
397 ((= n 0)
398 (message "LaTeX language mode with multiline matrices"))
399 ((= n 1)
400 (message "LaTeX language mode with \\text{func}(\\text{var})"))
401 ((> n 1)
402 (message
403 "LaTeX language mode with \\text{func}(\\text{var}) and multiline matrices"))
404 ((= n -1)
405 (message "LaTeX language mode with \\func(\\text{var})"))
406 ((< n -1)
407 (message
408 "LaTeX language mode with \\func(\\text{var}) and multiline matrices")))))
409
c65d0380
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410(put 'tex 'math-lang-name "TeX")
411(put 'latex 'math-lang-name "LaTeX")
412
136211a9 413(put 'tex 'math-oper-table
ca54ae34 414 '( ( "\\hat" calcFunc-hat -1 950 )
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415 ( "\\check" calcFunc-check -1 950 )
416 ( "\\tilde" calcFunc-tilde -1 950 )
417 ( "\\acute" calcFunc-acute -1 950 )
418 ( "\\grave" calcFunc-grave -1 950 )
419 ( "\\dot" calcFunc-dot -1 950 )
420 ( "\\ddot" calcFunc-dotdot -1 950 )
421 ( "\\breve" calcFunc-breve -1 950 )
422 ( "\\bar" calcFunc-bar -1 950 )
423 ( "\\vec" calcFunc-Vec -1 950 )
424 ( "\\underline" calcFunc-under -1 950 )
425 ( "u|" calcFunc-abs -1 0 )
426 ( "|" closing 0 -1 )
427 ( "\\lfloor" calcFunc-floor -1 0 )
428 ( "\\rfloor" closing 0 -1 )
429 ( "\\lceil" calcFunc-ceil -1 0 )
430 ( "\\rceil" closing 0 -1 )
431 ( "\\pm" sdev 300 300 )
432 ( "!" calcFunc-fact 210 -1 )
433 ( "^" ^ 201 200 )
434 ( "_" calcFunc-subscr 201 200 )
ca54ae34
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435 ( "u+" ident -1 197 )
436 ( "u-" neg -1 197 )
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437 ( "\\times" * 191 190 )
438 ( "*" * 191 190 )
439 ( "2x" * 191 190 )
440 ( "+" + 180 181 )
441 ( "-" - 180 181 )
442 ( "\\over" / 170 171 )
fda9b316 443 ( "/" / 170 171 )
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444 ( "\\choose" calcFunc-choose 170 171 )
445 ( "\\mod" % 170 171 )
446 ( "<" calcFunc-lt 160 161 )
447 ( ">" calcFunc-gt 160 161 )
448 ( "\\leq" calcFunc-leq 160 161 )
449 ( "\\geq" calcFunc-geq 160 161 )
450 ( "=" calcFunc-eq 160 161 )
451 ( "\\neq" calcFunc-neq 160 161 )
452 ( "\\ne" calcFunc-neq 160 161 )
453 ( "\\lnot" calcFunc-lnot -1 121 )
454 ( "\\land" calcFunc-land 110 111 )
455 ( "\\lor" calcFunc-lor 100 101 )
456 ( "?" (math-read-if) 91 90 )
457 ( "!!!" calcFunc-pnot -1 85 )
458 ( "&&&" calcFunc-pand 80 81 )
459 ( "|||" calcFunc-por 75 76 )
460 ( "\\gets" calcFunc-assign 51 50 )
461 ( ":=" calcFunc-assign 51 50 )
462 ( "::" calcFunc-condition 45 46 )
463 ( "\\to" calcFunc-evalto 40 41 )
464 ( "\\to" calcFunc-evalto 40 -1 )
465 ( "=>" calcFunc-evalto 40 41 )
bf77c646 466 ( "=>" calcFunc-evalto 40 -1 )))
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467
468(put 'tex 'math-function-table
469 '( ( \\arccos . calcFunc-arccos )
470 ( \\arcsin . calcFunc-arcsin )
471 ( \\arctan . calcFunc-arctan )
472 ( \\arg . calcFunc-arg )
473 ( \\cos . calcFunc-cos )
474 ( \\cosh . calcFunc-cosh )
671dfbd8
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475 ( \\cot . calcFunc-cot )
476 ( \\coth . calcFunc-coth )
477 ( \\csc . calcFunc-csc )
136211a9
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478 ( \\det . calcFunc-det )
479 ( \\exp . calcFunc-exp )
480 ( \\gcd . calcFunc-gcd )
481 ( \\ln . calcFunc-ln )
482 ( \\log . calcFunc-log10 )
483 ( \\max . calcFunc-max )
484 ( \\min . calcFunc-min )
671dfbd8 485 ( \\sec . calcFunc-sec )
136211a9
EZ
486 ( \\sin . calcFunc-sin )
487 ( \\sinh . calcFunc-sinh )
488 ( \\sqrt . calcFunc-sqrt )
671dfbd8 489 ( \\tan . calcFunc-tan )
136211a9
EZ
490 ( \\tanh . calcFunc-tanh )
491 ( \\phi . calcFunc-totient )
bf77c646 492 ( \\mu . calcFunc-moebius )))
136211a9 493
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494(put 'tex 'math-special-function-table
495 '((calcFunc-sum . (math-compose-tex-sum "\\sum"))
496 (calcFunc-prod . (math-compose-tex-sum "\\prod"))
497 (intv . math-compose-tex-intv)))
498
136211a9 499(put 'tex 'math-variable-table
eb8c8b04
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500 '(
501 ;; The Greek letters
502 ( \\alpha . var-alpha )
503 ( \\beta . var-beta )
504 ( \\gamma . var-gamma )
505 ( \\Gamma . var-Gamma )
506 ( \\delta . var-delta )
507 ( \\Delta . var-Delta )
508 ( \\epsilon . var-epsilon )
509 ( \\varepsilon . var-varepsilon)
510 ( \\zeta . var-zeta )
511 ( \\eta . var-eta )
512 ( \\theta . var-theta )
513 ( \\vartheta . var-vartheta )
514 ( \\Theta . var-Theta )
515 ( \\iota . var-iota )
516 ( \\kappa . var-kappa )
517 ( \\lambda . var-lambda )
518 ( \\Lambda . var-Lambda )
519 ( \\mu . var-mu )
520 ( \\nu . var-nu )
521 ( \\xi . var-xi )
522 ( \\Xi . var-Xi )
523 ( \\pi . var-pi )
524 ( \\varpi . var-varpi )
525 ( \\Pi . var-Pi )
526 ( \\rho . var-rho )
527 ( \\varrho . var-varrho )
528 ( \\sigma . var-sigma )
529 ( \\sigma . var-varsigma )
530 ( \\Sigma . var-Sigma )
531 ( \\tau . var-tau )
532 ( \\upsilon . var-upsilon )
533 ( \\Upsilon . var-Upsilon )
534 ( \\phi . var-phi )
535 ( \\varphi . var-varphi )
536 ( \\Phi . var-Phi )
537 ( \\chi . var-chi )
538 ( \\psi . var-psi )
539 ( \\Psi . var-Psi )
540 ( \\omega . var-omega )
541 ( \\Omega . var-Omega )
542 ;; Others
543 ( \\ell . var-ell )
544 ( \\infty . var-inf )
545 ( \\infty . var-uinf )
546 ( \\sum . (math-parse-tex-sum calcFunc-sum) )
547 ( \\prod . (math-parse-tex-sum calcFunc-prod) )))
136211a9 548
7cf24610
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549(put 'tex 'math-punc-table
550 '((?\{ . ?\()
551 (?\} . ?\))
552 (?\& . ?\,)))
553
136211a9
EZ
554(put 'tex 'math-complex-format 'i)
555
7cf24610
JB
556(put 'tex 'math-input-filter 'math-tex-input-filter)
557
558(put 'tex 'math-matrix-formatter
559 (function
560 (lambda (a)
561 (if (and (integerp calc-language-option)
562 (or (= calc-language-option 0)
563 (> calc-language-option 1)
564 (< calc-language-option -1)))
565 (append '(vleft 0 "\\matrix{")
566 (math-compose-tex-matrix (cdr a))
567 '("}"))
568 (append '(horiz "\\matrix{ ")
569 (math-compose-tex-matrix (cdr a))
570 '(" }"))))))
571
572(put 'tex 'math-var-formatter 'math-compose-tex-var)
573
574(put 'tex 'math-func-formatter 'math-compose-tex-func)
575
576(put 'tex 'math-dots "\\ldots")
577
578(put 'tex 'math-big-parens '("\\left( " . " \\right)"))
579
580(put 'tex 'math-evalto '("\\evalto " . " \\to "))
581
582(defconst math-tex-ignore-words
583 '( ("\\hbox") ("\\mbox") ("\\text") ("\\left") ("\\right")
584 ("\\,") ("\\>") ("\\:") ("\\;") ("\\!") ("\\ ")
585 ("\\quad") ("\\qquad") ("\\hfil") ("\\hfill")
586 ("\\displaystyle") ("\\textstyle") ("\\dsize") ("\\tsize")
587 ("\\scriptstyle") ("\\scriptscriptstyle") ("\\ssize") ("\\sssize")
588 ("\\rm") ("\\bf") ("\\it") ("\\sl")
589 ("\\roman") ("\\bold") ("\\italic") ("\\slanted")
590 ("\\cal") ("\\mit") ("\\Cal") ("\\Bbb") ("\\frak") ("\\goth")
591 ("\\evalto")
592 ("\\matrix" mat) ("\\bmatrix" mat) ("\\pmatrix" mat)
593 ("\\begin" begenv)
594 ("\\cr" punc ";") ("\\\\" punc ";") ("\\*" punc "*")
595 ("\\{" punc "[") ("\\}" punc "]")))
596
597(defconst math-latex-ignore-words
598 (append math-tex-ignore-words
599 '(("\\begin" begenv))))
600
601(put 'tex 'math-lang-read-symbol
602 '((?\\
603 (< math-exp-pos (1- (length math-exp-str)))
604 (progn
605 (or (string-match "\\\\hbox *{\\([a-zA-Z0-9]+\\)}"
606 math-exp-str math-exp-pos)
607 (string-match "\\(\\\\\\([a-zA-Z]+\\|[^a-zA-Z]\\)\\)"
608 math-exp-str math-exp-pos))
609 (setq math-exp-token 'symbol
610 math-exp-pos (match-end 0)
611 math-expr-data (math-restore-dashes
612 (math-match-substring math-exp-str 1)))
613 (let ((code (assoc math-expr-data math-latex-ignore-words)))
614 (cond ((null code))
615 ((null (cdr code))
616 (math-read-token))
617 ((eq (nth 1 code) 'punc)
618 (setq math-exp-token 'punc
619 math-expr-data (nth 2 code)))
620 ((and (eq (nth 1 code) 'mat)
621 (string-match " *{" math-exp-str math-exp-pos))
622 (setq math-exp-pos (match-end 0)
623 math-exp-token 'punc
624 math-expr-data "[")
625 (let ((right (string-match "}" math-exp-str math-exp-pos)))
626 (and right
627 (setq math-exp-str (copy-sequence math-exp-str))
628 (aset math-exp-str right ?\]))))))))))
629
630(defun math-compose-tex-matrix (a &optional ltx)
631 (if (cdr a)
632 (cons (append (math-compose-vector (cdr (car a)) " & " 0)
633 (if ltx '(" \\\\ ") '(" \\cr ")))
634 (math-compose-tex-matrix (cdr a) ltx))
635 (list (math-compose-vector (cdr (car a)) " & " 0))))
636
637(defun math-compose-tex-sum (a fn)
638 (cond
639 ((nth 4 a)
640 (list 'horiz (nth 1 fn)
641 "_{" (math-compose-expr (nth 2 a) 0)
642 "=" (math-compose-expr (nth 3 a) 0)
643 "}^{" (math-compose-expr (nth 4 a) 0)
644 "}{" (math-compose-expr (nth 1 a) 0) "}"))
645 ((nth 3 a)
646 (list 'horiz (nth 1 fn)
647 "_{" (math-compose-expr (nth 2 a) 0)
648 "=" (math-compose-expr (nth 3 a) 0)
649 "}{" (math-compose-expr (nth 1 a) 0) "}"))
650 (t
651 (list 'horiz (nth 1 fn)
652 "_{" (math-compose-expr (nth 2 a) 0)
653 "}{" (math-compose-expr (nth 1 a) 0) "}"))))
654
136211a9
EZ
655(defun math-parse-tex-sum (f val)
656 (let (low high save)
54961aa0 657 (or (equal math-expr-data "_") (throw 'syntax "Expected `_'"))
136211a9 658 (math-read-token)
679e2630 659 (setq save math-exp-old-pos)
136211a9
EZ
660 (setq low (math-read-factor))
661 (or (eq (car-safe low) 'calcFunc-eq)
662 (progn
679e2630 663 (setq math-exp-old-pos (1+ save))
136211a9 664 (throw 'syntax "Expected equation")))
54961aa0 665 (or (equal math-expr-data "^") (throw 'syntax "Expected `^'"))
136211a9
EZ
666 (math-read-token)
667 (setq high (math-read-factor))
bf77c646 668 (list (nth 2 f) (math-read-factor) (nth 1 low) (nth 2 low) high)))
136211a9
EZ
669
670(defun math-tex-input-filter (str) ; allow parsing of 123\,456\,789.
671 (while (string-match "[0-9]\\\\,[0-9]" str)
672 (setq str (concat (substring str 0 (1+ (match-beginning 0)))
673 (substring str (1- (match-end 0))))))
bf77c646 674 str)
7cf24610
JB
675
676;(defun math-tex-print-sqrt (a)
677; (list 'horiz
678; "\\sqrt{"
679; (math-compose-expr (nth 1 a) 0)
680; "}"))
681
682(defun math-compose-tex-intv (a)
683 (list 'horiz
684 (if (memq (nth 1 a) '(0 1)) "(" "[")
685 (math-compose-expr (nth 2 a) 0)
686 " \\ldots "
687 (math-compose-expr (nth 3 a) 0)
688 (if (memq (nth 1 a) '(0 2)) ")" "]")))
689
3ae7df79 690(defun math-compose-tex-var (a prec)
7cf24610
JB
691 (if (and calc-language-option
692 (not (= calc-language-option 0))
693 (string-match "\\`[a-zA-Z][a-zA-Z0-9]+\\'"
694 (symbol-name (nth 1 a))))
695 (if (eq calc-language 'latex)
696 (format "\\text{%s}" (symbol-name (nth 1 a)))
697 (format "\\hbox{%s}" (symbol-name (nth 1 a))))
3ae7df79 698 (math-compose-var a)))
7cf24610
JB
699
700(defun math-compose-tex-func (func a)
701 (let (left right)
702 (if (and calc-language-option
703 (not (= calc-language-option 0))
704 (string-match "\\`[a-zA-Z][a-zA-Z0-9]+\\'" func))
705 (if (< (prefix-numeric-value calc-language-option) 0)
706 (setq func (format "\\%s" func))
707 (setq func (if (eq calc-language 'latex)
708 (format "\\text{%s}" func)
709 (format "\\hbox{%s}" func)))))
710 (cond ((or (> (length a) 2)
711 (not (math-tex-expr-is-flat (nth 1 a))))
712 (setq left "\\left( "
713 right " \\right)"))
714 ((and (eq (aref func 0) ?\\)
715 (not (or
716 (string-match "\\hbox{" func)
717 (string-match "\\text{" func)))
718 (= (length a) 2)
719 (or (Math-realp (nth 1 a))
720 (memq (car (nth 1 a)) '(var *))))
721 (setq left "{" right "}"))
722 (t (setq left calc-function-open
723 right calc-function-close)))
724 (list 'horiz func
725 left
726 (math-compose-vector (cdr a) ", " 0)
727 right)))
136211a9 728
2d3ce3f2 729(put 'latex 'math-oper-table
62a54f6c
JB
730 (append (get 'tex 'math-oper-table)
731 '(( "\\Hat" calcFunc-Hat -1 950 )
732 ( "\\Check" calcFunc-Check -1 950 )
733 ( "\\Tilde" calcFunc-Tilde -1 950 )
734 ( "\\Acute" calcFunc-Acute -1 950 )
735 ( "\\Grave" calcFunc-Grave -1 950 )
736 ( "\\Dot" calcFunc-Dot -1 950 )
737 ( "\\Ddot" calcFunc-Dotdot -1 950 )
738 ( "\\Breve" calcFunc-Breve -1 950 )
739 ( "\\Bar" calcFunc-Bar -1 950 )
740 ( "\\Vec" calcFunc-VEC -1 950 )
741 ( "\\dddot" calcFunc-dddot -1 950 )
742 ( "\\ddddot" calcFunc-ddddot -1 950 )
fda9b316 743 ( "\\div" / 170 171 )
62a54f6c
JB
744 ( "\\le" calcFunc-leq 160 161 )
745 ( "\\leqq" calcFunc-leq 160 161 )
746 ( "\\leqsland" calcFunc-leq 160 161 )
747 ( "\\ge" calcFunc-geq 160 161 )
748 ( "\\geqq" calcFunc-geq 160 161 )
749 ( "\\geqslant" calcFunc-geq 160 161 )
750 ( "=" calcFunc-eq 160 161 )
751 ( "\\neq" calcFunc-neq 160 161 )
752 ( "\\ne" calcFunc-neq 160 161 )
753 ( "\\lnot" calcFunc-lnot -1 121 )
754 ( "\\land" calcFunc-land 110 111 )
755 ( "\\lor" calcFunc-lor 100 101 )
756 ( "?" (math-read-if) 91 90 )
757 ( "!!!" calcFunc-pnot -1 85 )
758 ( "&&&" calcFunc-pand 80 81 )
759 ( "|||" calcFunc-por 75 76 )
760 ( "\\gets" calcFunc-assign 51 50 )
761 ( ":=" calcFunc-assign 51 50 )
762 ( "::" calcFunc-condition 45 46 )
763 ( "\\to" calcFunc-evalto 40 41 )
764 ( "\\to" calcFunc-evalto 40 -1 )
765 ( "=>" calcFunc-evalto 40 41 )
766 ( "=>" calcFunc-evalto 40 -1 ))))
2d3ce3f2
JB
767
768(put 'latex 'math-function-table
62a54f6c
JB
769 (append
770 (get 'tex 'math-function-table)
7592e970
JB
771 '(( \\frac . (math-latex-parse-frac))
772 ( \\tfrac . (math-latex-parse-frac))
773 ( \\dfrac . (math-latex-parse-frac))
774 ( \\binom . (math-latex-parse-two-args calcFunc-choose))
775 ( \\tbinom . (math-latex-parse-two-args calcFunc-choose))
776 ( \\dbinom . (math-latex-parse-two-args calcFunc-choose))
62a54f6c
JB
777 ( \\phi . calcFunc-totient )
778 ( \\mu . calcFunc-moebius ))))
2d3ce3f2
JB
779
780(put 'latex 'math-special-function-table
7cf24610
JB
781 '((/ . (math-compose-latex-frac "\\frac"))
782 (calcFunc-choose . (math-compose-latex-frac "\\binom"))
783 (calcFunc-sum . (math-compose-tex-sum "\\sum"))
784 (calcFunc-prod . (math-compose-tex-sum "\\prod"))
785 (intv . math-compose-tex-intv)))
2d3ce3f2
JB
786
787(put 'latex 'math-variable-table
62a54f6c 788 (get 'tex 'math-variable-table))
2d3ce3f2 789
7cf24610
JB
790(put 'latex 'math-punc-table
791 '((?\{ . ?\()
792 (?\} . ?\))
793 (?\& . ?\,)))
2d3ce3f2 794
7cf24610 795(put 'latex 'math-complex-format 'i)
7592e970 796
7cf24610
JB
797(put 'latex 'math-matrix-formatter
798 (function
799 (lambda (a)
800 (if (and (integerp calc-language-option)
801 (or (= calc-language-option 0)
802 (> calc-language-option 1)
803 (< calc-language-option -1)))
804 (append '(vleft 0 "\\begin{pmatrix}")
805 (math-compose-tex-matrix (cdr a) t)
806 '("\\end{pmatrix}"))
807 (append '(horiz "\\begin{pmatrix} ")
808 (math-compose-tex-matrix (cdr a) t)
809 '(" \\end{pmatrix}"))))))
810
811(put 'latex 'math-var-formatter 'math-compose-tex-var)
812
813(put 'latex 'math-func-formatter 'math-compose-tex-func)
814
815(put 'latex 'math-dots "\\ldots")
816
817(put 'latex 'math-big-parens '("\\left( " . " \\right)"))
818
819(put 'latex 'math-evalto '("\\evalto " . " \\to "))
820
821(put 'latex 'math-lang-read-symbol
822 '((?\\
823 (< math-exp-pos (1- (length math-exp-str)))
824 (progn
825 (or (string-match "\\\\hbox *{\\([a-zA-Z0-9]+\\)}"
826 math-exp-str math-exp-pos)
827 (string-match "\\\\text *{\\([a-zA-Z0-9]+\\)}"
828 math-exp-str math-exp-pos)
829 (string-match "\\(\\\\\\([a-zA-Z]+\\|[^a-zA-Z]\\)\\)"
830 math-exp-str math-exp-pos))
831 (setq math-exp-token 'symbol
832 math-exp-pos (match-end 0)
833 math-expr-data (math-restore-dashes
834 (math-match-substring math-exp-str 1)))
835 (let ((code (assoc math-expr-data math-tex-ignore-words))
836 envname)
837 (cond ((null code))
838 ((null (cdr code))
839 (math-read-token))
840 ((eq (nth 1 code) 'punc)
841 (setq math-exp-token 'punc
842 math-expr-data (nth 2 code)))
843 ((and (eq (nth 1 code) 'begenv)
844 (string-match " *{\\([^}]*\\)}" math-exp-str math-exp-pos))
845 (setq math-exp-pos (match-end 0)
846 envname (match-string 1 math-exp-str)
847 math-exp-token 'punc
848 math-expr-data "[")
849 (cond ((or (string= envname "matrix")
850 (string= envname "bmatrix")
851 (string= envname "smallmatrix")
852 (string= envname "pmatrix"))
853 (if (string-match (concat "\\\\end{" envname "}")
854 math-exp-str math-exp-pos)
855 (setq math-exp-str
856 (replace-match "]" t t math-exp-str))
857 (error "%s" (concat "No closing \\end{" envname "}"))))))
858 ((and (eq (nth 1 code) 'mat)
859 (string-match " *{" math-exp-str math-exp-pos))
860 (setq math-exp-pos (match-end 0)
861 math-exp-token 'punc
862 math-expr-data "[")
863 (let ((right (string-match "}" math-exp-str math-exp-pos)))
864 (and right
865 (setq math-exp-str (copy-sequence math-exp-str))
866 (aset math-exp-str right ?\]))))))))))
867
2d3ce3f2
JB
868(defun math-latex-parse-frac (f val)
869 (let (numer denom)
7592e970
JB
870 (setq numer (car (math-read-expr-list)))
871 (math-read-token)
872 (setq denom (math-read-factor))
873 (if (and (Math-num-integerp numer)
874 (Math-num-integerp denom))
875 (list 'frac numer denom)
876 (list '/ numer denom))))
877
878(defun math-latex-parse-two-args (f val)
879 (let (first second)
880 (setq first (car (math-read-expr-list)))
2d3ce3f2 881 (math-read-token)
7592e970
JB
882 (setq second (math-read-factor))
883 (list (nth 2 f) first second)))
2d3ce3f2 884
7cf24610 885(defun math-compose-latex-frac (a fn)
2d3ce3f2
JB
886 (list 'horiz (nth 1 fn) "{" (math-compose-expr (nth 1 a) -1)
887 "}{"
888 (math-compose-expr (nth 2 a) -1)
889 "}"))
890
cfa08316 891(put 'latex 'math-input-filter 'math-tex-input-filter)
136211a9
EZ
892
893(defun calc-eqn-language (n)
894 (interactive "P")
895 (calc-wrapper
896 (calc-set-language 'eqn)
3132f345 897 (message "Eqn language mode")))
136211a9
EZ
898
899(put 'eqn 'math-oper-table
ca54ae34 900 '( ( "prime" (math-parse-eqn-prime) 950 -1 )
136211a9
EZ
901 ( "prime" calcFunc-Prime 950 -1 )
902 ( "dot" calcFunc-dot 950 -1 )
903 ( "dotdot" calcFunc-dotdot 950 -1 )
904 ( "hat" calcFunc-hat 950 -1 )
905 ( "tilde" calcFunc-tilde 950 -1 )
906 ( "vec" calcFunc-Vec 950 -1 )
907 ( "dyad" calcFunc-dyad 950 -1 )
908 ( "bar" calcFunc-bar 950 -1 )
909 ( "under" calcFunc-under 950 -1 )
910 ( "sub" calcFunc-subscr 931 930 )
911 ( "sup" ^ 921 920 )
912 ( "sqrt" calcFunc-sqrt -1 910 )
913 ( "over" / 900 901 )
914 ( "u|" calcFunc-abs -1 0 )
915 ( "|" closing 0 -1 )
916 ( "left floor" calcFunc-floor -1 0 )
917 ( "right floor" closing 0 -1 )
918 ( "left ceil" calcFunc-ceil -1 0 )
919 ( "right ceil" closing 0 -1 )
920 ( "+-" sdev 300 300 )
921 ( "!" calcFunc-fact 210 -1 )
ca54ae34
JB
922 ( "u+" ident -1 197 )
923 ( "u-" neg -1 197 )
136211a9
EZ
924 ( "times" * 191 190 )
925 ( "*" * 191 190 )
926 ( "2x" * 191 190 )
927 ( "/" / 180 181 )
928 ( "%" % 180 181 )
929 ( "+" + 170 171 )
930 ( "-" - 170 171 )
931 ( "<" calcFunc-lt 160 161 )
932 ( ">" calcFunc-gt 160 161 )
933 ( "<=" calcFunc-leq 160 161 )
934 ( ">=" calcFunc-geq 160 161 )
935 ( "=" calcFunc-eq 160 161 )
936 ( "==" calcFunc-eq 160 161 )
937 ( "!=" calcFunc-neq 160 161 )
938 ( "u!" calcFunc-lnot -1 121 )
939 ( "&&" calcFunc-land 110 111 )
940 ( "||" calcFunc-lor 100 101 )
941 ( "?" (math-read-if) 91 90 )
942 ( "!!!" calcFunc-pnot -1 85 )
943 ( "&&&" calcFunc-pand 80 81 )
944 ( "|||" calcFunc-por 75 76 )
945 ( "<-" calcFunc-assign 51 50 )
946 ( ":=" calcFunc-assign 51 50 )
947 ( "::" calcFunc-condition 45 46 )
948 ( "->" calcFunc-evalto 40 41 )
949 ( "->" calcFunc-evalto 40 -1 )
950 ( "=>" calcFunc-evalto 40 41 )
bf77c646 951 ( "=>" calcFunc-evalto 40 -1 )))
136211a9
EZ
952
953(put 'eqn 'math-function-table
954 '( ( arc\ cos . calcFunc-arccos )
955 ( arc\ cosh . calcFunc-arccosh )
956 ( arc\ sin . calcFunc-arcsin )
957 ( arc\ sinh . calcFunc-arcsinh )
958 ( arc\ tan . calcFunc-arctan )
959 ( arc\ tanh . calcFunc-arctanh )
960 ( GAMMA . calcFunc-gamma )
961 ( phi . calcFunc-totient )
962 ( mu . calcFunc-moebius )
bf77c646 963 ( matrix . (math-parse-eqn-matrix) )))
136211a9 964
7cf24610
JB
965(put 'eqn 'math-special-function-table
966 '((intv . math-compose-eqn-intv)))
967
968(put 'eqn 'math-punc-table
969 '((?\{ . ?\()
970 (?\} . ?\))))
971
136211a9 972(put 'eqn 'math-variable-table
bf77c646 973 '( ( inf . var-uinf )))
136211a9
EZ
974
975(put 'eqn 'math-complex-format 'i)
976
7cf24610
JB
977(put 'eqn 'math-big-parens '("{left ( " . " right )}"))
978
979(put 'eqn 'math-evalto '("evalto " . " -> "))
980
981(put 'eqn 'math-matrix-formatter
982 (function
983 (lambda (a)
984 (append '(horiz "matrix { ")
985 (math-compose-eqn-matrix
986 (cdr (math-transpose a)))
987 '("}")))))
988
989(put 'eqn 'math-var-formatter
990 (function
3ae7df79
JB
991 (lambda (a prec)
992 (let (v)
993 (if (and math-compose-hash-args
994 (let ((p calc-arg-values))
995 (setq v 1)
996 (while (and p (not (equal (car p) a)))
997 (setq p (and (eq math-compose-hash-args t) (cdr p))
998 v (1+ v)))
999 p))
1000 (if (eq math-compose-hash-args 1)
1001 "#"
1002 (format "#%d" v))
1003 (if (string-match ".'\\'" (symbol-name (nth 2 a)))
1004 (math-compose-expr
1005 (list 'calcFunc-Prime
1006 (list
1007 'var
1008 (intern (substring (symbol-name (nth 1 a)) 0 -1))
1009 (intern (substring (symbol-name (nth 2 a)) 0 -1))))
1010 prec)
1011 (symbol-name (nth 1 a))))))))
7cf24610
JB
1012
1013(defconst math-eqn-special-funcs
1014 '( calcFunc-log
1015 calcFunc-ln calcFunc-exp
1016 calcFunc-sin calcFunc-cos calcFunc-tan
1017 calcFunc-sec calcFunc-csc calcFunc-cot
1018 calcFunc-sinh calcFunc-cosh calcFunc-tanh
1019 calcFunc-sech calcFunc-csch calcFunc-coth
1020 calcFunc-arcsin calcFunc-arccos calcFunc-arctan
1021 calcFunc-arcsinh calcFunc-arccosh calcFunc-arctanh))
1022
1023(put 'eqn 'math-func-formatter
1024 (function
1025 (lambda (func a)
1026 (let (left right)
1027 (if (string-match "[^']'+\\'" func)
1028 (let ((n (- (length func) (match-beginning 0) 1)))
1029 (setq func (substring func 0 (- n)))
1030 (while (>= (setq n (1- n)) 0)
1031 (setq func (concat func " prime")))))
1032 (cond ((or (> (length a) 2)
1033 (not (math-tex-expr-is-flat (nth 1 a))))
1034 (setq left "{left ( "
1035 right " right )}"))
1036
1037 ((and
1038 (memq (car a) math-eqn-special-funcs)
1039 (= (length a) 2)
1040 (or (Math-realp (nth 1 a))
1041 (memq (car (nth 1 a)) '(var *))))
1042 (setq left "~{" right "}"))
1043 (t
1044 (setq left " ( "
1045 right " )")))
1046 (list 'horiz func left
1047 (math-compose-vector (cdr a) " , " 0)
1048 right)))))
1049
1050(put 'eqn 'math-lang-read-symbol
1051 '((?\"
1052 (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)"
1053 math-exp-str math-exp-pos)
1054 (progn
1055 (setq math-exp-str (copy-sequence math-exp-str))
1056 (aset math-exp-str (match-beginning 1) ?\{)
1057 (if (< (match-end 1) (length math-exp-str))
1058 (aset math-exp-str (match-end 1) ?\}))
1059 (math-read-token)))))
1060
1061(defconst math-eqn-ignore-words
1062 '( ("roman") ("bold") ("italic") ("mark") ("lineup") ("evalto")
1063 ("left" ("floor") ("ceil"))
1064 ("right" ("floor") ("ceil"))
1065 ("arc" ("sin") ("cos") ("tan") ("sinh") ("cosh") ("tanh"))
1066 ("size" n) ("font" n) ("fwd" n) ("back" n) ("up" n) ("down" n)
1067 ("above" punc ",")))
1068
1069(put 'eqn 'math-lang-adjust-words
1070 (function
1071 (lambda ()
1072 (let ((code (assoc math-expr-data math-eqn-ignore-words)))
1073 (cond ((null code))
1074 ((null (cdr code))
1075 (math-read-token))
1076 ((consp (nth 1 code))
1077 (math-read-token)
1078 (if (assoc math-expr-data (cdr code))
1079 (setq math-expr-data (format "%s %s"
1080 (car code) math-expr-data))))
1081 ((eq (nth 1 code) 'punc)
1082 (setq math-exp-token 'punc
1083 math-expr-data (nth 2 code)))
1084 (t
1085 (math-read-token)
1086 (math-read-token)))))))
1087
1088(put 'eqn 'math-lang-read
1089 '((eq (string-match "->\\|<-\\|+-\\|\\\\dots\\|~\\|\\^"
1090 math-exp-str math-exp-pos)
1091 math-exp-pos)
1092 (progn
1093 (setq math-exp-token 'punc
1094 math-expr-data (math-match-substring math-exp-str 0)
1095 math-exp-pos (match-end 0))
1096 (and (eq (string-match "\\\\dots\\." math-exp-str math-exp-pos)
1097 math-exp-pos)
1098 (setq math-exp-pos (match-end 0)))
1099 (if (memq (aref math-expr-data 0) '(?~ ?^))
1100 (math-read-token)))))
1101
1102
1103(defun math-compose-eqn-matrix (a)
1104 (if a
1105 (cons
1106 (cond ((eq calc-matrix-just 'right) "rcol ")
1107 ((eq calc-matrix-just 'center) "ccol ")
1108 (t "lcol "))
1109 (cons
1110 (list 'break math-compose-level)
1111 (cons
1112 "{ "
1113 (cons
1114 (let ((math-compose-level (1+ math-compose-level)))
1115 (math-compose-vector (cdr (car a)) " above " 1000))
1116 (cons
1117 " } "
1118 (math-compose-eqn-matrix (cdr a)))))))
1119 nil))
1120
136211a9
EZ
1121(defun math-parse-eqn-matrix (f sym)
1122 (let ((vec nil))
54961aa0 1123 (while (assoc math-expr-data '(("ccol") ("lcol") ("rcol")))
136211a9 1124 (math-read-token)
54961aa0 1125 (or (equal math-expr-data calc-function-open)
136211a9
EZ
1126 (throw 'syntax "Expected `{'"))
1127 (math-read-token)
1128 (setq vec (cons (cons 'vec (math-read-expr-list)) vec))
54961aa0 1129 (or (equal math-expr-data calc-function-close)
136211a9
EZ
1130 (throw 'syntax "Expected `}'"))
1131 (math-read-token))
54961aa0 1132 (or (equal math-expr-data calc-function-close)
136211a9
EZ
1133 (throw 'syntax "Expected `}'"))
1134 (math-read-token)
bf77c646 1135 (math-transpose (cons 'vec (nreverse vec)))))
136211a9
EZ
1136
1137(defun math-parse-eqn-prime (x sym)
1138 (if (eq (car-safe x) 'var)
54961aa0 1139 (if (equal math-expr-data calc-function-open)
136211a9
EZ
1140 (progn
1141 (math-read-token)
54961aa0 1142 (let ((args (if (or (equal math-expr-data calc-function-close)
679e2630 1143 (eq math-exp-token 'end))
136211a9
EZ
1144 nil
1145 (math-read-expr-list))))
54961aa0 1146 (if (not (or (equal math-expr-data calc-function-close)
679e2630 1147 (eq math-exp-token 'end)))
136211a9
EZ
1148 (throw 'syntax "Expected `)'"))
1149 (math-read-token)
1150 (cons (intern (format "calcFunc-%s'" (nth 1 x))) args)))
1151 (list 'var
1152 (intern (concat (symbol-name (nth 1 x)) "'"))
1153 (intern (concat (symbol-name (nth 2 x)) "'"))))
bf77c646 1154 (list 'calcFunc-Prime x)))
136211a9 1155
7cf24610
JB
1156(defun math-compose-eqn-intv (a)
1157 (list 'horiz
1158 (if (memq (nth 1 a) '(0 1)) "(" "[")
1159 (math-compose-expr (nth 2 a) 0)
1160 " ... "
1161 (math-compose-expr (nth 3 a) 0)
1162 (if (memq (nth 1 a) '(0 2)) ")" "]")))
1163
136211a9 1164
37275755
JB
1165;;; Yacas
1166
1167(defun calc-yacas-language ()
1168 "Change the Calc language to be Yacas-like."
1169 (interactive)
1170 (calc-wrapper
1171 (calc-set-language 'yacas)
1172 (message "`Yacas' language mode")))
1173
1174(put 'yacas 'math-vector-brackets "{}")
1175
1176(put 'yacas 'math-complex-format 'I)
1177
1178(add-to-list 'calc-lang-brackets-are-subscripts 'yacas)
1179
1180(put 'yacas 'math-variable-table
1181 '(( Infinity . var-inf)
1182 ( Infinity . var-uinf)
1183 ( Undefined . var-nan)
1184 ( Pi . var-pi)
1185 ( E . var-e) ;; Not really in Yacas
1186 ( GoldenRatio . var-phi)
1187 ( Gamma . var-gamma)))
1188
1189(put 'yacas 'math-parse-table
1190 '((("Deriv(" 0 ")" 0)
1191 calcFunc-deriv (var ArgB var-ArgB) (var ArgA var-ArgA))
1192 (("D(" 0 ")" 0)
1193 calcFunc-deriv (var ArgB var-ArgB) (var ArgA var-ArgA))
1194 (("Integrate(" 0 ")" 0)
1195 calcFunc-integ (var ArgB var-ArgB)(var ArgA var-ArgA))
1196 (("Integrate(" 0 "," 0 "," 0 ")" 0)
1197 calcFunc-integ (var ArgD var-ArgD) (var ArgA var-ArgA)
1198 (var ArgB var-ArgB) (var ArgC var-ArgC))
1199 (("Subst(" 0 "," 0 ")" 0)
1200 calcFunc-subst (var ArgC var-ArgC) (var ArgA var-ArgA)
1201 (var ArgB var-ArgB))
1202 (("Taylor(" 0 "," 0 "," 0 ")" 0)
1203 calcFunc-taylor (var ArgD var-ArgD)
1204 (calcFunc-eq (var ArgA var-ArgA) (var ArgB var-ArgB))
1205 (var ArgC var-ArgC))))
1206
1207(put 'yacas 'math-oper-table
1208 '(("+" + 30 30)
1209 ("-" - 30 60)
1210 ("*" * 60 60)
1211 ("/" / 70 70)
1212 ("u-" neg -1 60)
1213 ("^" ^ 80 80)
1214 ("u+" ident -1 30)
1215 ("<<" calcFunc-lsh 80 80)
1216 (">>" calcFunc-rsh 80 80)
1217 ("!" calcFunc-fact 80 -1)
1218 ("!!" calcFunc-dfact 80 -1)
1219 ("X" calcFunc-cross 70 70)
1220 ("=" calcFunc-eq 10 10)
1221 ("!=" calcFunc-neq 10 10)
1222 ("<" calcFunc-lt 10 10)
1223 (">" calcFunc-gt 10 10)
1224 ("<=" calcFunc-leq 10 10)
1225 (">=" calcFunc-geq 10 10)
1226 ("And" calcFunc-land 5 5)
1227 ("Or" calcFunc-or 4 4)
1228 ("Not" calcFunc-lnot -1 3)
1229 (":=" calcFunc-assign 1 1)))
1230
1231(put 'yacas 'math-function-table
1232 '(( Div . calcFunc-idiv)
1233 ( Mod . calcFunc-mod)
1234 ( Abs . calcFunc-abs)
1235 ( Sign . calcFunc-sign)
1236 ( Sqrt . calcFunc-sqrt)
1237 ( Max . calcFunc-max)
1238 ( Min . calcFunc-min)
1239 ( Floor . calcFunc-floor)
1240 ( Ceil . calcFunc-ceil)
1241 ( Round . calcFunc-round)
1242 ( Conjugate . calcFunc-conj)
1243 ( Arg . calcFunc-arg)
1244 ( Re . calcFunc-re)
1245 ( Im . calcFunc-im)
1246 ( Rationalize . calcFunc-pfrac)
1247 ( Sin . calcFunc-sin)
1248 ( Cos . calcFunc-cos)
1249 ( Tan . calcFunc-tan)
1250 ( Sec . calcFunc-sec)
1251 ( Csc . calcFunc-csc)
1252 ( Cot . calcFunc-cot)
1253 ( ArcSin . calcFunc-arcsin)
1254 ( ArcCos . calcFunc-arccos)
1255 ( ArcTan . calcFunc-arctan)
1256 ( Sinh . calcFunc-sinh)
1257 ( Cosh . calcFunc-cosh)
1258 ( Tanh . calcFunc-tanh)
1259 ( Sech . calcFunc-sech)
1260 ( Csch . calcFunc-csch)
1261 ( Coth . calcFunc-coth)
1262 ( ArcSinh . calcFunc-arcsinh)
1263 ( ArcCosh . calcFunc-arccosh)
1264 ( ArcTanh . calcFunc-arctanh)
1265 ( Ln . calcFunc-ln)
1266 ( Exp . calcFunc-exp)
1267 ( Gamma . calcFunc-gamma)
1268 ( Gcd . calcFunc-gcd)
1269 ( Lcm . calcFunc-lcm)
1270 ( Bin . calcFunc-choose)
1271 ( Bernoulli . calcFunc-bern)
1272 ( Euler . calcFunc-euler)
1273 ( StirlingNumber1 . calcFunc-stir1)
1274 ( StirlingNumber2 . calcFunc-stir2)
1275 ( IsPrime . calcFunc-prime)
1276 ( Factors . calcFunc-prfac)
1277 ( NextPrime . calcFunc-nextprime)
1278 ( Moebius . calcFunc-moebius)
1279 ( Random . calcFunc-random)
1280 ( Concat . calcFunc-vconcat)
1281 ( Head . calcFunc-head)
1282 ( Tail . calcFunc-tail)
1283 ( Length . calcFunc-vlen)
1284 ( Reverse . calcFunc-rev)
1285 ( CrossProduct . calcFunc-cross)
1286 ( Dot . calcFunc-mul)
1287 ( DiagonalMatrix . calcFunc-diag)
1288 ( Transpose . calcFunc-trn)
1289 ( Inverse . calcFunc-inv)
1290 ( Determinant . calcFunc-det)
1291 ( Trace . calcFunc-tr)
1292 ( RemoveDuplicates . calcFunc-rdup)
1293 ( Union . calcFunc-vunion)
1294 ( Intersection . calcFunc-vint)
1295 ( Difference . calcFunc-vdiff)
1296 ( Apply . calcFunc-apply)
1297 ( Map . calcFunc-map)
1298 ( Simplify . calcFunc-simplify)
1299 ( ExpandBrackets . calcFunc-expand)
1300 ( Solve . calcFunc-solve)
1301 ( Degree . calcFunc-pdeg)
1302 ( If . calcFunc-if)
1303 ( Contains . (math-lang-switch-args calcFunc-in))
1304 ( Sum . (math-yacas-parse-Sum calcFunc-sum))
1305 ( Factorize . (math-yacas-parse-Sum calcFunc-prod))))
1306
1307(put 'yacas 'math-special-function-table
1308 '(( calcFunc-sum . (math-yacas-compose-sum "Sum"))
1309 ( calcFunc-prod . (math-yacas-compose-sum "Factorize"))
1310 ( calcFunc-deriv . (math-yacas-compose-deriv "Deriv"))
1311 ( calcFunc-integ . (math-yacas-compose-deriv "Integrate"))
1312 ( calcFunc-taylor . math-yacas-compose-taylor)
1313 ( calcFunc-in . (math-lang-compose-switch-args "Contains"))))
1314
1315(put 'yacas 'math-compose-subscr
1316 (function
1317 (lambda (a)
1318 (let ((args (cdr (cdr a))))
1319 (list 'horiz
1320 (math-compose-expr (nth 1 a) 1000)
1321 "["
1322 (math-compose-vector args ", " 0)
1323 "]")))))
1324
1325(defun math-yacas-parse-Sum (f val)
1326 "Read in the arguments to \"Sum\" in Calc's Yacas mode."
1327 (let ((args (math-read-expr-list)))
1328 (math-read-token)
1329 (list (nth 2 f)
1330 (nth 3 args)
1331 (nth 0 args)
1332 (nth 1 args)
1333 (nth 2 args))))
1334
1335(defun math-yacas-compose-sum (a fn)
1336 "Compose the \"Sum\" function in Calc's Yacas mode."
1337 (list 'horiz
1338 (nth 1 fn)
1339 "("
1340 (math-compose-expr (nth 2 a) -1)
1341 ","
1342 (math-compose-expr (nth 3 a) -1)
1343 ","
1344 (math-compose-expr (nth 4 a) -1)
1345 ","
1346 (math-compose-expr (nth 1 a) -1)
1347 ")"))
1348
1349(defun math-yacas-compose-deriv (a fn)
1350 "Compose the \"Deriv\" function in Calc's Yacas mode."
1351 (list 'horiz
1352 (nth 1 fn)
1353 "("
1354 (math-compose-expr (nth 2 a) -1)
1355 (if (not (nth 3 a))
1356 ")"
1357 (concat
1358 ","
1359 (math-compose-expr (nth 3 a) -1)
1360 ","
1361 (math-compose-expr (nth 4 a) -1)
1362 ")"))
1363 " "
1364 (math-compose-expr (nth 1 a) -1)))
1365
1366(defun math-yacas-compose-taylor (a)
1367 "Compose the \"Taylor\" function in Calc's Yacas mode."
1368 (list 'horiz
1369 "Taylor("
1370 (if (eq (car-safe (nth 2 a)) 'calcFunc-eq)
1371 (concat (math-compose-expr (nth 1 (nth 2 a)) -1)
1372 ","
1373 (math-compose-expr (nth 2 (nth 2 a)) -1))
1374 (concat (math-compose-expr (nth 2 a) -1) ",0"))
1375 ","
1376 (math-compose-expr (nth 3 a) -1)
1377 ") "
1378 (math-compose-expr (nth 1 a) -1)))
1379
1380
1381;;; Maxima
1382
1383(defun calc-maxima-language ()
1384 "Change the Calc language to be Maxima-like."
1385 (interactive)
1386 (calc-wrapper
1387 (calc-set-language 'maxima)
1388 (message "`Maxima' language mode")))
1389
1390(put 'maxima 'math-oper-table
1391 '(("+" + 100 100)
1392 ("-" - 100 134)
1393 ("*" * 120 120)
1394 ("." * 130 129)
1395 ("/" / 120 120)
1396 ("u-" neg -1 180)
1397 ("u+" ident -1 180)
1398 ("^" ^ 140 139)
1399 ("**" ^ 140 139)
1400 ("!" calcFunc-fact 160 -1)
1401 ("!!" calcFunc-dfact 160 -1)
1402 ("=" calcFunc-eq 80 80)
1403 ("#" calcFunc-neq 80 80)
1404 ("<" calcFunc-lt 80 80)
1405 (">" calcFunc-gt 80 80)
1406 ("<=" calcFunc-leq 80 80)
1407 (">=" calcFunc-geq 80 80)
1408 ("and" calcFunc-land 65 65)
1409 ("or" calcFunc-or 60 60)
1410 ("not" calcFunc-lnot -1 70)
1411 (":" calcFunc-assign 180 20)))
1412
1413
1414(put 'maxima 'math-function-table
1415 '(( matrix . vec)
1416 ( abs . calcFunc-abs)
1417 ( cabs . calcFunc-abs)
1418 ( signum . calcFunc-sign)
1419 ( floor . calcFunc-floor)
1420 ( entier . calcFunc-floor)
1421 ( fix . calcFunc-floor)
1422 ( conjugate . calcFunc-conj )
1423 ( carg . calcFunc-arg)
1424 ( realpart . calcFunc-re)
1425 ( imagpart . calcFunc-im)
1426 ( rationalize . calcFunc-pfrac)
1427 ( asin . calcFunc-arcsin)
1428 ( acos . calcFunc-arccos)
1429 ( atan . calcFunc-arctan)
1430 ( atan2 . calcFunc-arctan2)
1431 ( asinh . calcFunc-arcsinh)
1432 ( acosh . calcFunc-arccosh)
1433 ( atanh . calcFunc-arctanh)
1434 ( log . calcFunc-ln)
1435 ( plog . calcFunc-ln)
1436 ( bessel_j . calcFunc-besJ)
1437 ( bessel_y . calcFunc-besY)
1438 ( factorial . calcFunc-fact)
1439 ( binomial . calcFunc-choose)
1440 ( primep . calcFunc-prime)
1441 ( next_prime . calcFunc-nextprime)
1442 ( prev_prime . calcFunc-prevprime)
1443 ( append . calcFunc-vconcat)
1444 ( rest . calcFunc-tail)
1445 ( reverse . calcFunc-rev)
1446 ( innerproduct . calcFunc-mul)
1447 ( inprod . calcFunc-mul)
1448 ( row . calcFunc-mrow)
1449 ( columnvector . calcFunc-mcol)
1450 ( covect . calcFunc-mcol)
1451 ( transpose . calcFunc-trn)
1452 ( invert . calcFunc-inv)
1453 ( determinant . calcFunc-det)
1454 ( mattrace . calcFunc-tr)
1455 ( member . calcFunc-in)
1456 ( lmax . calcFunc-vmax)
1457 ( lmin . calcFunc-vmin)
1458 ( distrib . calcFunc-expand)
1459 ( partfrac . calcFunc-apart)
1460 ( rat . calcFunc-nrat)
1461 ( product . calcFunc-prod)
1462 ( diff . calcFunc-deriv)
1463 ( integrate . calcFunc-integ)
1464 ( quotient . calcFunc-pdiv)
1465 ( remainder . calcFunc-prem)
1466 ( divide . calcFunc-pdivrem)
1467 ( equal . calcFunc-eq)
1468 ( notequal . calcFunc-neq)
1469 ( rhs . calcFunc-rmeq)
1470 ( subst . (math-maxima-parse-subst))
1471 ( substitute . (math-maxima-parse-subst))
1472 ( taylor . (math-maxima-parse-taylor))))
1473
1474(defun math-maxima-parse-subst (f val)
1475 "Read in the arguments to \"subst\" in Calc's Maxima mode."
1476 (let ((args (math-read-expr-list)))
1477 (math-read-token)
1478 (list 'calcFunc-subst
1479 (nth 1 args)
1480 (nth 2 args)
1481 (nth 0 args))))
1482
1483(defun math-maxima-parse-taylor (f val)
1484 "Read in the arguments to \"taylor\" in Calc's Maxima mode."
1485 (let ((args (math-read-expr-list)))
1486 (math-read-token)
1487 (list 'calcFunc-taylor
1488 (nth 0 args)
1489 (list 'calcFunc-eq
1490 (nth 1 args)
1491 (nth 2 args))
1492 (nth 3 args))))
1493
1494(put 'maxima 'math-parse-table
1495 '((("if" 0 "then" 0 "else" 0)
1496 calcFunc-if
1497 (var ArgA var-ArgA)
1498 (var ArgB var-ArgB)
1499 (var ArgC var-ArgC))))
1500
1501(put 'maxima 'math-special-function-table
1502 '(( calcFunc-taylor . math-maxima-compose-taylor)
1503 ( calcFunc-subst . math-maxima-compose-subst)
1504 ( calcFunc-if . math-maxima-compose-if)))
1505
1506(defun math-maxima-compose-taylor (a)
1507 "Compose the \"taylor\" function in Calc's Maxima mode."
1508 (list 'horiz
1509 "taylor("
1510 (math-compose-expr (nth 1 a) -1)
1511 ","
1512 (if (eq (car-safe (nth 2 a)) 'calcFunc-eq)
1513 (concat (math-compose-expr (nth 1 (nth 2 a)) -1)
1514 ","
1515 (math-compose-expr (nth 2 (nth 2 a)) -1))
1516 (concat (math-compose-expr (nth 2 a) -1) ",0"))
1517 ","
1518 (math-compose-expr (nth 3 a) -1)
1519 ")"))
1520
1521(defun math-maxima-compose-subst (a)
1522 "Compose the \"subst\" function in Calc's Maxima mode."
1523 (list 'horiz
1524 "substitute("
1525 (math-compose-expr (nth 2 a) -1)
1526 ","
1527 (math-compose-expr (nth 3 a) -1)
1528 ","
1529 (math-compose-expr (nth 1 a) -1)
1530 ")"))
1531
1532(defun math-maxima-compose-if (a)
1533 "Compose the \"if\" function in Calc's Maxima mode."
1534 (list 'horiz
1535 "if "
1536 (math-compose-expr (nth 1 a) -1)
1537 " then "
1538 (math-compose-expr (nth 2 a) -1)
1539 " else "
1540 (math-compose-expr (nth 3 a) -1)))
1541
1542(put 'maxima 'math-variable-table
1543 '(( infinity . var-uinf)
1544 ( %pi . var-pi)
1545 ( %e . var-e)
1546 ( %i . var-i)
1547 ( %phi . var-phi)
1548 ( %gamma . var-gamma)))
1549
1550(put 'maxima 'math-complex-format '%i)
1551
1552(add-to-list 'calc-lang-allow-underscores 'maxima)
1553
1554(add-to-list 'calc-lang-allow-percentsigns 'maxima)
1555
1556(add-to-list 'calc-lang-brackets-are-subscripts 'maxima)
1557
1558(put 'maxima 'math-compose-subscr
1559 (function
1560 (lambda (a)
1561 (let ((args (cdr (cdr a))))
1562 (list 'horiz
1563 (math-compose-expr (nth 1 a) 1000)
1564 "["
1565 (math-compose-vector args ", " 0)
1566 "]")))))
1567
1568(put 'maxima 'math-matrix-formatter
1569 (function
1570 (lambda (a)
1571 (list 'horiz
1572 "matrix("
1573 (math-compose-vector (cdr a)
1574 (concat math-comp-comma " ")
1575 math-comp-vector-prec)
1576 ")"))))
1577
1578
1579;;; Giac
1580
1581(defun calc-giac-language ()
1582 "Change the Calc language to be Giac-like."
1583 (interactive)
1584 (calc-wrapper
1585 (calc-set-language 'giac)
1586 (message "`Giac' language mode")))
1587
1588(put 'giac 'math-oper-table
1589 '( ( "[" (math-read-giac-subscr) 250 -1 )
1590 ( "+" + 180 181 )
1591 ( "-" - 180 181 )
1592 ( "/" / 191 192 )
1593 ( "*" * 191 192 )
1594 ( "^" ^ 201 200 )
1595 ( "u+" ident -1 197 )
1596 ( "u-" neg -1 197 )
1597 ( "!" calcFunc-fact 210 -1 )
1598 ( ".." (math-read-maple-dots) 165 165 )
1599 ( "\\dots" (math-read-maple-dots) 165 165 )
1600 ( "intersect" calcFunc-vint 191 192 )
1601 ( "union" calcFunc-vunion 180 181 )
1602 ( "minus" calcFunc-vdiff 180 181 )
1603 ( "<" calcFunc-lt 160 160 )
1604 ( ">" calcFunc-gt 160 160 )
1605 ( "<=" calcFunc-leq 160 160 )
1606 ( ">=" calcFunc-geq 160 160 )
1607 ( "=" calcFunc-eq 160 160 )
1608 ( "==" calcFunc-eq 160 160 )
1609 ( "!=" calcFunc-neq 160 160 )
1610 ( "and" calcFunc-land 110 111 )
1611 ( "or" calcFunc-lor 100 101 )
1612 ( "&&" calcFunc-land 110 111 )
1613 ( "||" calcFunc-lor 100 101 )
1614 ( "not" calcFunc-lnot -1 121 )
1615 ( ":=" calcFunc-assign 51 50 )))
1616
1617
1618(put 'giac 'math-function-table
1619 '(( rdiv . calcFunc-div)
1620 ( iquo . calcFunc-idiv)
1621 ( irem . calcFunc-mod)
1622 ( remain . calcFunc-mod)
1623 ( floor . calcFunc-floor)
1624 ( iPart . calcFunc-floor)
1625 ( ceil . calcFunc-ceil)
1626 ( ceiling . calcFunc-ceil)
1627 ( re . calcFunc-re)
1628 ( real . calcFunc-re)
1629 ( im . calcFunc-im)
1630 ( imag . calcFunc-im)
1631 ( float2rational . calcFunc-pfrac)
1632 ( exact . calcFunc-pfrac)
1633 ( evalf . calcFunc-pfloat)
1634 ( bitand . calcFunc-and)
1635 ( bitor . calcFunc-or)
1636 ( bitxor . calcFunc-xor)
1637 ( asin . calcFunc-arcsin)
1638 ( acos . calcFunc-arccos)
1639 ( atan . calcFunc-arctan)
1640 ( asinh . calcFunc-arcsinh)
1641 ( acosh . calcFunc-arccosh)
1642 ( atanh . calcFunc-arctanh)
1643 ( log . calcFunc-ln)
1644 ( logb . calcFunc-log)
1645 ( factorial . calcFunc-fact)
1646 ( comb . calcFunc-choose)
1647 ( binomial . calcFunc-choose)
1648 ( nCr . calcFunc-choose)
1649 ( perm . calcFunc-perm)
1650 ( nPr . calcFunc-perm)
1651 ( bernoulli . calcFunc-bern)
1652 ( is_prime . calcFunc-prime)
1653 ( isprime . calcFunc-prime)
1654 ( isPrime . calcFunc-prime)
1655 ( ifactors . calcFunc-prfac)
1656 ( euler . calcFunc-totient)
1657 ( phi . calcFunc-totient)
1658 ( rand . calcFunc-random)
1659 ( concat . calcFunc-vconcat)
1660 ( augment . calcFunc-vconcat)
1661 ( mid . calcFunc-subvec)
1662 ( length . calcFunc-length)
1663 ( size . calcFunc-length)
1664 ( nops . calcFunc-length)
1665 ( SortA . calcFunc-sort)
1666 ( SortB . calcFunc-rsort)
1667 ( revlist . calcFunc-rev)
1668 ( cross . calcFunc-cross)
1669 ( crossP . calcFunc-cross)
1670 ( crossproduct . calcFunc-cross)
1671 ( mul . calcFunc-mul)
1672 ( dot . calcFunc-mul)
1673 ( dotprod . calcFunc-mul)
1674 ( dotP . calcFunc-mul)
1675 ( scalar_product . calcFunc-mul)
1676 ( scalar_Product . calcFunc-mul)
1677 ( row . calcFunc-mrow)
1678 ( col . calcFunc-mcol)
1679 ( dim . calcFunc-mdims)
1680 ( tran . calcFunc-trn)
1681 ( transpose . calcFunc-trn)
1682 ( lu . calcFunc-lud)
1683 ( trace . calcFunc-tr)
1684 ( member . calcFunc-in)
1685 ( sum . calcFunc-vsum)
1686 ( add . calcFunc-vsum)
1687 ( product . calcFunc-vprod)
1688 ( mean . calcFunc-vmean)
1689 ( median . calcFunc-vmedian)
1690 ( stddev . calcFunc-vsdev)
1691 ( stddevp . calcFunc-vpsdev)
1692 ( variance . calcFunc-vpvar)
1693 ( map . calcFunc-map)
1694 ( apply . calcFunc-map)
1695 ( of . calcFunc-map)
1696 ( zip . calcFunc-map)
1697 ( expand . calcFunc-expand)
1698 ( fdistrib . calcFunc-expand)
1699 ( partfrac . calcFunc-apart)
1700 ( ratnormal . calcFunc-nrat)
1701 ( diff . calcFunc-deriv)
1702 ( derive . calcFunc-deriv)
1703 ( integrate . calcFunc-integ)
1704 ( int . calcFunc-integ)
1705 ( Int . calcFunc-integ)
1706 ( romberg . calcFunc-ninteg)
1707 ( nInt . calcFunc-ninteg)
1708 ( lcoeff . calcFunc-plead)
1709 ( content . calcFunc-pcont)
1710 ( primpart . calcFunc-pprim)
1711 ( quo . calcFunc-pdiv)
1712 ( rem . calcFunc-prem)
1713 ( quorem . calcFunc-pdivrem)
1714 ( divide . calcFunc-pdivrem)
1715 ( equal . calcFunc-eq)
1716 ( ifte . calcFunc-if)
1717 ( not . calcFunc-lnot)
1718 ( rhs . calcFunc-rmeq)
1719 ( right . calcFunc-rmeq)
1720 ( prepend . (math-lang-switch-args calcFunc-cons))
1721 ( contains . (math-lang-switch-args calcFunc-in))
1722 ( has . (math-lang-switch-args calcFunc-refers))))
1723
1724(defun math-lang-switch-args (f val)
1725 "Read the arguments to a Calc function in reverse order.
1726This is used for various language modes which have functions in reverse
1727order to Calc's."
1728 (let ((args (math-read-expr-list)))
1729 (math-read-token)
1730 (list (nth 2 f)
1731 (nth 1 args)
1732 (nth 0 args))))
1733
1734(put 'giac 'math-parse-table
1735 '((("set" 0)
1736 calcFunc-rdup
1737 (var ArgA var-ArgA))))
1738
1739(put 'giac 'math-special-function-table
1740 '((calcFunc-cons . (math-lang-compose-switch-args "prepend"))
1741 (calcFunc-in . (math-lang-compose-switch-args "contains"))
1742 (calcFunc-refers . (math-lang-compose-switch-args "has"))
1743 (intv . math-compose-maple-intv)))
1744
1745(defun math-lang-compose-switch-args (a fn)
1746 "Compose the arguments to a Calc function in reverse order.
1747This is used for various language modes which have functions in reverse
1748order to Calc's."
1749 (list 'horiz (nth 1 fn)
1750 "("
1751 (math-compose-expr (nth 2 a) 0)
1752 ","
1753 (math-compose-expr (nth 1 a) 0)
1754 ")"))
1755
1756(put 'giac 'math-variable-table
1757 '(( infinity . var-inf)
1758 ( infinity . var-uinf)))
1759
591b5f7a
JB
1760(put 'giac 'math-complex-format 'i)
1761
37275755
JB
1762(add-to-list 'calc-lang-allow-underscores 'giac)
1763
1764(put 'giac 'math-compose-subscr
1765 (function
1766 (lambda (a)
1767 (let ((args (cdr (cdr a))))
1768 (list 'horiz
1769 (math-compose-expr (nth 1 a) 1000)
1770 "["
1771 (math-compose-expr
1772 (calc-normalize (list '- (nth 2 a) 1)) 0)
1773 "]")))))
1774
1775(defun math-read-giac-subscr (x op)
1776 (let ((idx (math-read-expr-level 0)))
1777 (or (equal math-expr-data "]")
1778 (throw 'syntax "Expected ']'"))
1779 (math-read-token)
1780 (list 'calcFunc-subscr x (calc-normalize (list '+ idx 1)))))
1781
1782(add-to-list 'calc-lang-c-type-hex 'giac)
1783
1784
136211a9
EZ
1785(defun calc-mathematica-language ()
1786 (interactive)
1787 (calc-wrapper
1788 (calc-set-language 'math)
3132f345 1789 (message "Mathematica language mode")))
136211a9
EZ
1790
1791(put 'math 'math-oper-table
1792 '( ( "[[" (math-read-math-subscr) 250 -1 )
1793 ( "!" calcFunc-fact 210 -1 )
1794 ( "!!" calcFunc-dfact 210 -1 )
1795 ( "^" ^ 201 200 )
1796 ( "u+" ident -1 197 )
1797 ( "u-" neg -1 197 )
1798 ( "/" / 195 196 )
1799 ( "*" * 190 191 )
1800 ( "2x" * 190 191 )
1801 ( "+" + 180 181 )
1802 ( "-" - 180 181 )
1803 ( "<" calcFunc-lt 160 161 )
1804 ( ">" calcFunc-gt 160 161 )
1805 ( "<=" calcFunc-leq 160 161 )
1806 ( ">=" calcFunc-geq 160 161 )
1807 ( "==" calcFunc-eq 150 151 )
1808 ( "!=" calcFunc-neq 150 151 )
1809 ( "u!" calcFunc-lnot -1 121 )
1810 ( "&&" calcFunc-land 110 111 )
1811 ( "||" calcFunc-lor 100 101 )
1812 ( "!!!" calcFunc-pnot -1 85 )
1813 ( "&&&" calcFunc-pand 80 81 )
1814 ( "|||" calcFunc-por 75 76 )
1815 ( ":=" calcFunc-assign 51 50 )
1816 ( "=" calcFunc-assign 51 50 )
1817 ( "->" calcFunc-assign 51 50 )
1818 ( ":>" calcFunc-assign 51 50 )
1819 ( "::" calcFunc-condition 45 46 )
1820))
1821
1822(put 'math 'math-function-table
1823 '( ( Abs . calcFunc-abs )
1824 ( ArcCos . calcFunc-arccos )
1825 ( ArcCosh . calcFunc-arccosh )
1826 ( ArcSin . calcFunc-arcsin )
1827 ( ArcSinh . calcFunc-arcsinh )
1828 ( ArcTan . calcFunc-arctan )
1829 ( ArcTanh . calcFunc-arctanh )
1830 ( Arg . calcFunc-arg )
1831 ( Binomial . calcFunc-choose )
1832 ( Ceiling . calcFunc-ceil )
1833 ( Conjugate . calcFunc-conj )
1834 ( Cos . calcFunc-cos )
1835 ( Cosh . calcFunc-cosh )
671dfbd8
JB
1836 ( Cot . calcFunc-cot )
1837 ( Coth . calcFunc-coth )
1838 ( Csc . calcFunc-csc )
1839 ( Csch . calcFunc-csch )
136211a9
EZ
1840 ( D . calcFunc-deriv )
1841 ( Dt . calcFunc-tderiv )
1842 ( Det . calcFunc-det )
1843 ( Exp . calcFunc-exp )
1844 ( EulerPhi . calcFunc-totient )
1845 ( Floor . calcFunc-floor )
1846 ( Gamma . calcFunc-gamma )
1847 ( GCD . calcFunc-gcd )
1848 ( If . calcFunc-if )
1849 ( Im . calcFunc-im )
1850 ( Inverse . calcFunc-inv )
1851 ( Integrate . calcFunc-integ )
1852 ( Join . calcFunc-vconcat )
1853 ( LCM . calcFunc-lcm )
1854 ( Log . calcFunc-ln )
1855 ( Max . calcFunc-max )
1856 ( Min . calcFunc-min )
1857 ( Mod . calcFunc-mod )
1858 ( MoebiusMu . calcFunc-moebius )
1859 ( Random . calcFunc-random )
1860 ( Round . calcFunc-round )
1861 ( Re . calcFunc-re )
671dfbd8
JB
1862 ( Sec . calcFunc-sec )
1863 ( Sech . calcFunc-sech )
136211a9
EZ
1864 ( Sign . calcFunc-sign )
1865 ( Sin . calcFunc-sin )
1866 ( Sinh . calcFunc-sinh )
1867 ( Sqrt . calcFunc-sqrt )
1868 ( Tan . calcFunc-tan )
1869 ( Tanh . calcFunc-tanh )
1870 ( Transpose . calcFunc-trn )
1871 ( Length . calcFunc-vlen )
1872))
1873
1874(put 'math 'math-variable-table
1875 '( ( I . var-i )
1876 ( Pi . var-pi )
1877 ( E . var-e )
1878 ( GoldenRatio . var-phi )
1879 ( EulerGamma . var-gamma )
1880 ( Infinity . var-inf )
1881 ( ComplexInfinity . var-uinf )
1882 ( Indeterminate . var-nan )
1883))
1884
1885(put 'math 'math-vector-brackets "{}")
1886(put 'math 'math-complex-format 'I)
1887(put 'math 'math-function-open "[")
1888(put 'math 'math-function-close "]")
1889
1890(put 'math 'math-radix-formatter
1891 (function (lambda (r s) (format "%d^^%s" r s))))
1892
7cf24610
JB
1893(put 'math 'math-lang-read
1894 '((eq (string-match "\\[\\[\\|->\\|:>" math-exp-str math-exp-pos)
1895 math-exp-pos)
1896 (setq math-exp-token 'punc
1897 math-expr-data (math-match-substring math-exp-str 0)
1898 math-exp-pos (match-end 0))))
1899
1900(put 'math 'math-compose-subscr
1901 (function
1902 (lambda (a)
1903 (list 'horiz
1904 (math-compose-expr (nth 1 a) 1000)
1905 "[["
1906 (math-compose-expr (nth 2 a) 0)
1907 "]]"))))
1908
136211a9
EZ
1909(defun math-read-math-subscr (x op)
1910 (let ((idx (math-read-expr-level 0)))
54961aa0 1911 (or (and (equal math-expr-data "]")
136211a9
EZ
1912 (progn
1913 (math-read-token)
54961aa0 1914 (equal math-expr-data "]")))
136211a9
EZ
1915 (throw 'syntax "Expected ']]'"))
1916 (math-read-token)
bf77c646 1917 (list 'calcFunc-subscr x idx)))
136211a9
EZ
1918
1919
1920(defun calc-maple-language ()
1921 (interactive)
1922 (calc-wrapper
1923 (calc-set-language 'maple)
3132f345 1924 (message "Maple language mode")))
136211a9
EZ
1925
1926(put 'maple 'math-oper-table
1927 '( ( "matrix" ident -1 300 )
1928 ( "MATRIX" ident -1 300 )
1929 ( "!" calcFunc-fact 210 -1 )
1930 ( "^" ^ 201 200 )
1931 ( "**" ^ 201 200 )
1932 ( "u+" ident -1 197 )
1933 ( "u-" neg -1 197 )
1934 ( "/" / 191 192 )
1935 ( "*" * 191 192 )
1936 ( "intersect" calcFunc-vint 191 192 )
1937 ( "+" + 180 181 )
1938 ( "-" - 180 181 )
1939 ( "union" calcFunc-vunion 180 181 )
1940 ( "minus" calcFunc-vdiff 180 181 )
1941 ( "mod" % 170 170 )
1942 ( ".." (math-read-maple-dots) 165 165 )
1943 ( "\\dots" (math-read-maple-dots) 165 165 )
1944 ( "<" calcFunc-lt 160 160 )
1945 ( ">" calcFunc-gt 160 160 )
1946 ( "<=" calcFunc-leq 160 160 )
1947 ( ">=" calcFunc-geq 160 160 )
1948 ( "=" calcFunc-eq 160 160 )
1949 ( "<>" calcFunc-neq 160 160 )
1950 ( "not" calcFunc-lnot -1 121 )
1951 ( "and" calcFunc-land 110 111 )
1952 ( "or" calcFunc-lor 100 101 )
1953 ( "!!!" calcFunc-pnot -1 85 )
1954 ( "&&&" calcFunc-pand 80 81 )
1955 ( "|||" calcFunc-por 75 76 )
1956 ( ":=" calcFunc-assign 51 50 )
1957 ( "::" calcFunc-condition 45 46 )
1958))
1959
1960(put 'maple 'math-function-table
1961 '( ( bernoulli . calcFunc-bern )
1962 ( binomial . calcFunc-choose )
1963 ( diff . calcFunc-deriv )
1964 ( GAMMA . calcFunc-gamma )
1965 ( ifactor . calcFunc-prfac )
1966 ( igcd . calcFunc-gcd )
1967 ( ilcm . calcFunc-lcm )
1968 ( int . calcFunc-integ )
1969 ( modp . % )
1970 ( irem . % )
1971 ( iquo . calcFunc-idiv )
1972 ( isprime . calcFunc-prime )
1973 ( length . calcFunc-vlen )
1974 ( member . calcFunc-in )
1975 ( crossprod . calcFunc-cross )
1976 ( inverse . calcFunc-inv )
1977 ( trace . calcFunc-tr )
1978 ( transpose . calcFunc-trn )
1979 ( vectdim . calcFunc-vlen )
1980))
1981
7cf24610
JB
1982(put 'maple 'math-special-function-table
1983 '((intv . math-compose-maple-intv)))
1984
136211a9
EZ
1985(put 'maple 'math-variable-table
1986 '( ( I . var-i )
1987 ( Pi . var-pi )
1988 ( E . var-e )
1989 ( infinity . var-inf )
1990 ( infinity . var-uinf )
1991 ( infinity . var-nan )
1992))
1993
1994(put 'maple 'math-complex-format 'I)
1995
7cf24610
JB
1996(put 'maple 'math-matrix-formatter
1997 (function
1998 (lambda (a)
1999 (list 'horiz
2000 "matrix("
2001 math-comp-left-bracket
2002 (math-compose-vector (cdr a)
2003 (concat math-comp-comma " ")
2004 math-comp-vector-prec)
2005 math-comp-right-bracket
2006 ")"))))
2007
2008(put 'maple 'math-compose-subscr
2009 (function
2010 (lambda (a)
2011 (let ((args (cdr (cdr a))))
2012 (list 'horiz
2013 (math-compose-expr (nth 1 a) 1000)
2014 "["
2015 (math-compose-vector args ", " 0)
2016 "]")))))
2017
2018(add-to-list 'calc-lang-allow-underscores 'maple)
2019(add-to-list 'calc-lang-brackets-are-subscripts 'maple)
2020
2021(defun math-compose-maple-intv (a)
2022 (list 'horiz
2023 (math-compose-expr (nth 2 a) 0)
2024 " .. "
2025 (math-compose-expr (nth 3 a) 0)))
2026
136211a9 2027(defun math-read-maple-dots (x op)
bf77c646 2028 (list 'intv 3 x (math-read-expr-level (nth 3 op))))
136211a9
EZ
2029
2030
8cd2540e
JB
2031;; The variable math-read-big-lines is local to math-read-big-expr in
2032;; calc-ext.el, but is used by math-read-big-rec, math-read-big-char,
2033;; math-read-big-emptyp, math-read-big-error and math-read-big-balance,
2034;; which are called (directly and indirectly) by math-read-big-expr.
2035;; It is also local to math-read-big-bigp in calc-ext.el, which calls
2036;; math-read-big-balance.
2037(defvar math-read-big-lines)
2038
2039;; The variables math-read-big-baseline and math-read-big-h2 are
2040;; local to math-read-big-expr in calc-ext.el, but used by
2041;; math-read-big-rec.
2042(defvar math-read-big-baseline)
2043(defvar math-read-big-h2)
2044
2045;; The variables math-rb-h1, math-rb-h2, math-rb-v1 and math-rb-v2
2046;; are local to math-read-big-rec, but are used by math-read-big-char,
2047;; math-read-big-emptyp and math-read-big-balance which are called by
2048;; math-read-big-rec.
2049;; math-rb-h2 is also local to math-read-big-bigp in calc-ext.el,
2050;; which calls math-read-big-balance.
2051(defvar math-rb-h1)
2052(defvar math-rb-h2)
2053(defvar math-rb-v1)
2054(defvar math-rb-v2)
2055
2056(defun math-read-big-rec (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2
2057 &optional baseline prec short)
136211a9
EZ
2058 (or prec (setq prec 0))
2059
2060 ;; Clip whitespace above or below.
8cd2540e
JB
2061 (while (and (< math-rb-v1 math-rb-v2)
2062 (math-read-big-emptyp math-rb-h1 math-rb-v1 math-rb-h2 (1+ math-rb-v1)))
2063 (setq math-rb-v1 (1+ math-rb-v1)))
2064 (while (and (< math-rb-v1 math-rb-v2)
2065 (math-read-big-emptyp math-rb-h1 (1- math-rb-v2) math-rb-h2 math-rb-v2))
2066 (setq math-rb-v2 (1- math-rb-v2)))
136211a9
EZ
2067
2068 ;; If formula is a single line high, normal parser can handle it.
8cd2540e
JB
2069 (if (<= math-rb-v2 (1+ math-rb-v1))
2070 (if (or (<= math-rb-v2 math-rb-v1)
2071 (> math-rb-h1 (length (setq math-rb-v2
2072 (nth math-rb-v1 math-read-big-lines)))))
2073 (math-read-big-error math-rb-h1 math-rb-v1)
2074 (setq math-read-big-baseline math-rb-v1
2075 math-read-big-h2 math-rb-h2
2076 math-rb-v2 (nth math-rb-v1 math-read-big-lines)
2077 math-rb-h2 (math-read-expr
2078 (substring math-rb-v2 math-rb-h1
2079 (min math-rb-h2 (length math-rb-v2)))))
2080 (if (eq (car-safe math-rb-h2) 'error)
2081 (math-read-big-error (+ math-rb-h1 (nth 1 math-rb-h2))
2082 math-rb-v1 (nth 2 math-rb-h2))
2083 math-rb-h2))
136211a9
EZ
2084
2085 ;; Clip whitespace at left or right.
8cd2540e
JB
2086 (while (and (< math-rb-h1 math-rb-h2)
2087 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) math-rb-v2))
2088 (setq math-rb-h1 (1+ math-rb-h1)))
2089 (while (and (< math-rb-h1 math-rb-h2)
2090 (math-read-big-emptyp (1- math-rb-h2) math-rb-v1 math-rb-h2 math-rb-v2))
2091 (setq math-rb-h2 (1- math-rb-h2)))
136211a9
EZ
2092
2093 ;; Scan to find widest left-justified "----" in the region.
2094 (let* ((widest nil)
2095 (widest-h2 0)
8cd2540e 2096 (lines-v1 (nthcdr math-rb-v1 math-read-big-lines))
136211a9 2097 (p lines-v1)
8cd2540e 2098 (v math-rb-v1)
136211a9
EZ
2099 (other-v nil)
2100 other-char line len h)
8cd2540e 2101 (while (< v math-rb-v2)
136211a9 2102 (setq line (car p)
8cd2540e
JB
2103 len (min math-rb-h2 (length line)))
2104 (and (< math-rb-h1 len)
2105 (/= (aref line math-rb-h1) ?\ )
2106 (if (and (= (aref line math-rb-h1) ?\-)
136211a9 2107 ;; Make sure it's not a minus sign.
8cd2540e
JB
2108 (or (and (< (1+ math-rb-h1) len)
2109 (= (aref line (1+ math-rb-h1)) ?\-))
2110 (/= (math-read-big-char math-rb-h1 (1- v)) ?\ )
2111 (/= (math-read-big-char math-rb-h1 (1+ v)) ?\ )))
136211a9 2112 (progn
8cd2540e 2113 (setq h math-rb-h1)
136211a9
EZ
2114 (while (and (< (setq h (1+ h)) len)
2115 (= (aref line h) ?\-)))
2116 (if (> h widest-h2)
2117 (setq widest v
2118 widest-h2 h)))
8cd2540e 2119 (or other-v (setq other-v v other-char (aref line math-rb-h1)))))
136211a9
EZ
2120 (setq v (1+ v)
2121 p (cdr p)))
2122
2123 (cond ((not (setq v other-v))
8cd2540e 2124 (math-read-big-error math-rb-h1 math-rb-v1)) ; Should never happen!
136211a9
EZ
2125
2126 ;; Quotient.
2127 (widest
2128 (setq h widest-h2
2129 v widest)
8cd2540e
JB
2130 (let ((num (math-read-big-rec math-rb-h1 math-rb-v1 h v))
2131 (den (math-read-big-rec math-rb-h1 (1+ v) h math-rb-v2)))
136211a9
EZ
2132 (setq p (if (and (math-integerp num) (math-integerp den))
2133 (math-make-frac num den)
2134 (list '/ num den)))))
2135
2136 ;; Big radical sign.
2137 ((= other-char ?\\)
8cd2540e
JB
2138 (or (= (math-read-big-char (1+ math-rb-h1) v) ?\|)
2139 (math-read-big-error (1+ math-rb-h1) v "Malformed root sign"))
2140 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2141 (while (= (math-read-big-char (1+ math-rb-h1) (setq v (1- v))) ?\|))
2142 (or (= (math-read-big-char (setq h (+ math-rb-h1 2)) v) ?\_)
136211a9
EZ
2143 (math-read-big-error h v "Malformed root sign"))
2144 (while (= (math-read-big-char (setq h (1+ h)) v) ?\_))
8cd2540e
JB
2145 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2146 (math-read-big-emptyp math-rb-h1 (1+ other-v) h math-rb-v2 nil t)
136211a9 2147 (setq p (list 'calcFunc-sqrt (math-read-big-rec
8cd2540e 2148 (+ math-rb-h1 2) (1+ v)
136211a9 2149 h (1+ other-v) baseline))
8cd2540e 2150 v math-read-big-baseline))
136211a9
EZ
2151
2152 ;; Small radical sign.
2153 ((and (= other-char ?V)
8cd2540e
JB
2154 (= (math-read-big-char (1+ math-rb-h1) (1- v)) ?\_))
2155 (setq h (1+ math-rb-h1))
2156 (math-read-big-emptyp math-rb-h1 math-rb-v1 h (1- v) nil t)
2157 (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t)
2158 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
136211a9
EZ
2159 (while (= (math-read-big-char (setq h (1+ h)) (1- v)) ?\_))
2160 (setq p (list 'calcFunc-sqrt (math-read-big-rec
8cd2540e
JB
2161 (1+ math-rb-h1) v h (1+ v) t))
2162 v math-read-big-baseline))
136211a9
EZ
2163
2164 ;; Binomial coefficient.
2165 ((and (= other-char ?\()
8cd2540e
JB
2166 (= (math-read-big-char (1+ math-rb-h1) v) ?\ )
2167 (= (string-match "( *)" (nth v math-read-big-lines)
2168 math-rb-h1) math-rb-h1))
136211a9 2169 (setq h (match-end 0))
8cd2540e
JB
2170 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2171 (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t)
2172 (math-read-big-emptyp (1- h) math-rb-v1 h v nil t)
2173 (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t)
136211a9 2174 (setq p (list 'calcFunc-choose
8cd2540e
JB
2175 (math-read-big-rec (1+ math-rb-h1) math-rb-v1 (1- h) v)
2176 (math-read-big-rec (1+ math-rb-h1) (1+ v)
2177 (1- h) math-rb-v2))))
136211a9
EZ
2178
2179 ;; Minus sign.
2180 ((= other-char ?\-)
8cd2540e
JB
2181 (setq p (list 'neg (math-read-big-rec (1+ math-rb-h1) math-rb-v1
2182 math-rb-h2 math-rb-v2 v 250 t))
2183 v math-read-big-baseline
2184 h math-read-big-h2))
136211a9
EZ
2185
2186 ;; Parentheses.
2187 ((= other-char ?\()
8cd2540e
JB
2188 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2189 (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t)
2190 (setq h (math-read-big-balance (1+ math-rb-h1) v "(" t))
2191 (math-read-big-emptyp (1- h) math-rb-v1 h v nil t)
2192 (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t)
136211a9
EZ
2193 (let ((sep (math-read-big-char (1- h) v))
2194 hmid)
2195 (if (= sep ?\.)
2196 (setq h (1+ h)))
2197 (if (= sep ?\])
2198 (math-read-big-error (1- h) v "Expected `)'"))
2199 (if (= sep ?\))
8cd2540e
JB
2200 (setq p (math-read-big-rec
2201 (1+ math-rb-h1) math-rb-v1 (1- h) math-rb-v2 v))
136211a9 2202 (setq hmid (math-read-big-balance h v "(")
8cd2540e
JB
2203 p (list p
2204 (math-read-big-rec h math-rb-v1 (1- hmid) math-rb-v2 v))
136211a9
EZ
2205 h hmid)
2206 (cond ((= sep ?\.)
2207 (setq p (cons 'intv (cons (if (= (math-read-big-char
2208 (1- h) v)
2209 ?\))
2210 0 1)
2211 p))))
2212 ((= (math-read-big-char (1- h) v) ?\])
2213 (math-read-big-error (1- h) v "Expected `)'"))
2214 ((= sep ?\,)
2215 (or (and (math-realp (car p)) (math-realp (nth 1 p)))
2216 (math-read-big-error
8cd2540e 2217 math-rb-h1 v "Complex components must be real"))
136211a9
EZ
2218 (setq p (cons 'cplx p)))
2219 ((= sep ?\;)
2220 (or (and (math-realp (car p)) (math-anglep (nth 1 p)))
2221 (math-read-big-error
8cd2540e 2222 math-rb-h1 v "Complex components must be real"))
136211a9
EZ
2223 (setq p (cons 'polar p)))))))
2224
2225 ;; Matrix.
2226 ((and (= other-char ?\[)
8cd2540e 2227 (or (= (math-read-big-char (setq h math-rb-h1) (1+ v)) ?\[)
136211a9
EZ
2228 (= (math-read-big-char (setq h (1+ h)) v) ?\[)
2229 (and (= (math-read-big-char h v) ?\ )
2230 (= (math-read-big-char (setq h (1+ h)) v) ?\[)))
2231 (= (math-read-big-char h (1+ v)) ?\[))
8cd2540e 2232 (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t)
136211a9
EZ
2233 (let ((vtop v)
2234 (hleft h)
2235 (hright nil))
2236 (setq p nil)
2237 (while (progn
2238 (setq h (math-read-big-balance (1+ hleft) v "["))
2239 (if hright
2240 (or (= h hright)
2241 (math-read-big-error hright v "Expected `]'"))
2242 (setq hright h))
2243 (setq p (cons (math-read-big-rec
2244 hleft v h (1+ v)) p))
2245 (and (memq (math-read-big-char h v) '(?\ ?\,))
2246 (= (math-read-big-char hleft (1+ v)) ?\[)))
2247 (setq v (1+ v)))
8cd2540e 2248 (or (= hleft math-rb-h1)
136211a9
EZ
2249 (progn
2250 (if (= (math-read-big-char h v) ?\ )
2251 (setq h (1+ h)))
2252 (and (= (math-read-big-char h v) ?\])
2253 (setq h (1+ h))))
2254 (math-read-big-error (1- h) v "Expected `]'"))
2255 (if (= (math-read-big-char h vtop) ?\,)
2256 (setq h (1+ h)))
8cd2540e 2257 (math-read-big-emptyp math-rb-h1 (1+ v) (1- h) math-rb-v2 nil t)
136211a9
EZ
2258 (setq v (+ vtop (/ (- v vtop) 2))
2259 p (cons 'vec (nreverse p)))))
2260
2261 ;; Square brackets.
2262 ((= other-char ?\[)
8cd2540e
JB
2263 (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t)
2264 (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t)
136211a9 2265 (setq p nil
8cd2540e 2266 h (1+ math-rb-h1))
136211a9
EZ
2267 (while (progn
2268 (setq widest (math-read-big-balance h v "[" t))
8cd2540e
JB
2269 (math-read-big-emptyp (1- h) math-rb-v1 h v nil t)
2270 (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t)
136211a9 2271 (setq p (cons (math-read-big-rec
8cd2540e 2272 h math-rb-v1 (1- widest) math-rb-v2 v) p)
136211a9
EZ
2273 h widest)
2274 (= (math-read-big-char (1- h) v) ?\,)))
2275 (setq widest (math-read-big-char (1- h) v))
2276 (if (or (memq widest '(?\; ?\)))
2277 (and (eq widest ?\.) (cdr p)))
2278 (math-read-big-error (1- h) v "Expected `]'"))
2279 (if (= widest ?\.)
2280 (setq h (1+ h)
2281 widest (math-read-big-balance h v "[")
8cd2540e
JB
2282 p (nconc p (list (math-read-big-rec
2283 h math-rb-v1 (1- widest) math-rb-v2 v)))
136211a9
EZ
2284 h widest
2285 p (cons 'intv (cons (if (= (math-read-big-char (1- h) v)
2286 ?\])
2287 3 2)
2288 p)))
2289 (setq p (cons 'vec (nreverse p)))))
2290
2291 ;; Date form.
2292 ((= other-char ?\<)
8cd2540e
JB
2293 (setq line (nth v math-read-big-lines))
2294 (string-match ">" line math-rb-h1)
136211a9 2295 (setq h (match-end 0))
8cd2540e
JB
2296 (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t)
2297 (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t)
2298 (setq p (math-read-big-rec math-rb-h1 v h (1+ v) v)))
136211a9
EZ
2299
2300 ;; Variable name or function call.
2301 ((or (and (>= other-char ?a) (<= other-char ?z))
2302 (and (>= other-char ?A) (<= other-char ?Z)))
8cd2540e
JB
2303 (setq line (nth v math-read-big-lines))
2304 (string-match "\\([a-zA-Z'_]+\\) *" line math-rb-h1)
136211a9
EZ
2305 (setq h (match-end 1)
2306 widest (match-end 0)
2307 p (math-match-substring line 1))
8cd2540e
JB
2308 (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t)
2309 (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t)
136211a9
EZ
2310 (if (= (math-read-big-char widest v) ?\()
2311 (progn
2312 (setq line (if (string-match "-" p)
2313 (intern p)
2314 (intern (concat "calcFunc-" p)))
2315 h (1+ widest)
2316 p nil)
8cd2540e
JB
2317 (math-read-big-emptyp widest math-rb-v1 h v nil t)
2318 (math-read-big-emptyp widest (1+ v) h math-rb-v2 nil t)
136211a9
EZ
2319 (while (progn
2320 (setq widest (math-read-big-balance h v "(" t))
8cd2540e
JB
2321 (math-read-big-emptyp (1- h) math-rb-v1 h v nil t)
2322 (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t)
136211a9 2323 (setq p (cons (math-read-big-rec
8cd2540e 2324 h math-rb-v1 (1- widest) math-rb-v2 v) p)
136211a9
EZ
2325 h widest)
2326 (= (math-read-big-char (1- h) v) ?\,)))
2327 (or (= (math-read-big-char (1- h) v) ?\))
2328 (math-read-big-error (1- h) v "Expected `)'"))
2329 (setq p (cons line (nreverse p))))
2330 (setq p (list 'var
2331 (intern (math-remove-dashes p))
2332 (if (string-match "-" p)
2333 (intern p)
2334 (intern (concat "var-" p)))))))
2335
2336 ;; Number.
2337 (t
8cd2540e
JB
2338 (setq line (nth v math-read-big-lines))
2339 (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)
136211a9
EZ
2340 (math-read-big-error h v "Expected a number"))
2341 (setq h (match-end 0)
2342 p (math-read-number (math-match-substring line 0)))
8cd2540e
JB
2343 (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t)
2344 (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t)))
136211a9 2345
8cd2540e
JB
2346 ;; Now left term is bounded by math-rb-h1, math-rb-v1, h, math-rb-v2;
2347 ;; baseline = v.
136211a9
EZ
2348 (if baseline
2349 (or (= v baseline)
8cd2540e 2350 (math-read-big-error math-rb-h1 v "Inconsistent baseline in formula"))
136211a9
EZ
2351 (setq baseline v))
2352
2353 ;; Look for superscripts or subscripts.
8cd2540e
JB
2354 (setq line (nth baseline math-read-big-lines)
2355 len (min math-rb-h2 (length line))
136211a9
EZ
2356 widest h)
2357 (while (and (< widest len)
2358 (= (aref line widest) ?\ ))
2359 (setq widest (1+ widest)))
8cd2540e
JB
2360 (and (>= widest len) (setq widest math-rb-h2))
2361 (if (math-read-big-emptyp h v widest math-rb-v2)
2362 (if (math-read-big-emptyp h math-rb-v1 widest v)
136211a9 2363 (setq h widest)
8cd2540e 2364 (setq p (list '^ p (math-read-big-rec h math-rb-v1 widest v))
136211a9 2365 h widest))
8cd2540e 2366 (if (math-read-big-emptyp h math-rb-v1 widest v)
136211a9 2367 (setq p (list 'calcFunc-subscr p
8cd2540e 2368 (math-read-big-rec h v widest math-rb-v2))
136211a9
EZ
2369 h widest)))
2370
2371 ;; Look for an operator name and grab additional terms.
2372 (while (and (< h len)
2373 (if (setq widest (and (math-read-big-emptyp
8cd2540e 2374 h math-rb-v1 (1+ h) v)
136211a9 2375 (math-read-big-emptyp
8cd2540e 2376 h (1+ v) (1+ h) math-rb-v2)
136211a9
EZ
2377 (string-match "<=\\|>=\\|\\+/-\\|!=\\|&&\\|||\\|:=\\|=>\\|." line h)
2378 (assoc (math-match-substring line 0)
09be88b3 2379 (math-standard-ops))))
136211a9
EZ
2380 (and (>= (nth 2 widest) prec)
2381 (setq h (match-end 0)))
2382 (and (not (eq (string-match ",\\|;\\|\\.\\.\\|)\\|\\]\\|:" line h)
2383 h))
2384 (setq widest '("2x" * 196 195)))))
2385 (cond ((eq (nth 3 widest) -1)
2386 (setq p (list (nth 1 widest) p)))
2387 ((equal (car widest) "?")
8cd2540e
JB
2388 (let ((y (math-read-big-rec h math-rb-v1 math-rb-h2
2389 math-rb-v2 baseline nil t)))
2390 (or (= (math-read-big-char math-read-big-h2 baseline) ?\:)
2391 (math-read-big-error math-read-big-h2 baseline "Expected `:'"))
136211a9 2392 (setq p (list (nth 1 widest) p y
8cd2540e
JB
2393 (math-read-big-rec
2394 (1+ math-read-big-h2) math-rb-v1 math-rb-h2 math-rb-v2
2395 baseline (nth 3 widest) t))
2396 h math-read-big-h2)))
136211a9
EZ
2397 (t
2398 (setq p (list (nth 1 widest) p
8cd2540e 2399 (math-read-big-rec h math-rb-v1 math-rb-h2 math-rb-v2
136211a9 2400 baseline (nth 3 widest) t))
8cd2540e 2401 h math-read-big-h2))))
136211a9
EZ
2402
2403 ;; Return all relevant information to caller.
8cd2540e
JB
2404 (setq math-read-big-baseline baseline
2405 math-read-big-h2 h)
2406 (or short (= math-read-big-h2 math-rb-h2)
136211a9 2407 (math-read-big-error h baseline))
bf77c646 2408 p)))
136211a9
EZ
2409
2410(defun math-read-big-char (h v)
8cd2540e
JB
2411 (or (and (>= h math-rb-h1)
2412 (< h math-rb-h2)
2413 (>= v math-rb-v1)
2414 (< v math-rb-v2)
2415 (let ((line (nth v math-read-big-lines)))
136211a9
EZ
2416 (and line
2417 (< h (length line))
2418 (aref line h))))
bf77c646 2419 ?\ ))
136211a9
EZ
2420
2421(defun math-read-big-emptyp (eh1 ev1 eh2 ev2 &optional what error)
8cd2540e
JB
2422 (and (< ev1 math-rb-v1) (setq ev1 math-rb-v1))
2423 (and (< eh1 math-rb-h1) (setq eh1 math-rb-h1))
2424 (and (> ev2 math-rb-v2) (setq ev2 math-rb-v2))
2425 (and (> eh2 math-rb-h2) (setq eh2 math-rb-h2))
136211a9 2426 (or what (setq what ?\ ))
8cd2540e 2427 (let ((p (nthcdr ev1 math-read-big-lines))
136211a9
EZ
2428 h)
2429 (while (and (< ev1 ev2)
2430 (progn
2431 (setq h (min eh2 (length (car p))))
2432 (while (and (>= (setq h (1- h)) eh1)
2433 (= (aref (car p) h) what)))
2434 (and error (>= h eh1)
2435 (math-read-big-error h ev1 (if (stringp error)
2436 error
2437 "Whitespace expected")))
2438 (< h eh1)))
2439 (setq ev1 (1+ ev1)
2440 p (cdr p)))
bf77c646 2441 (>= ev1 ev2)))
136211a9 2442
8cd2540e
JB
2443;; math-read-big-err-msg is local to math-read-big-expr in calc-ext.el,
2444;; but is used by math-read-big-error which is called (indirectly) by
2445;; math-read-big-expr.
2446(defvar math-read-big-err-msg)
2447
136211a9
EZ
2448(defun math-read-big-error (h v &optional msg)
2449 (let ((pos 0)
8cd2540e 2450 (p math-read-big-lines))
136211a9
EZ
2451 (while (> v 0)
2452 (setq pos (+ pos 1 (length (car p)))
2453 p (cdr p)
2454 v (1- v)))
2455 (setq h (+ pos (min h (length (car p))))
8cd2540e 2456 math-read-big-err-msg (list 'error h (or msg "Syntax error")))
bf77c646 2457 (throw 'syntax nil)))
136211a9
EZ
2458
2459(defun math-read-big-balance (h v what &optional commas)
8cd2540e
JB
2460 (let* ((line (nth v math-read-big-lines))
2461 (len (min math-rb-h2 (length line)))
136211a9
EZ
2462 (count 1))
2463 (while (> count 0)
2464 (if (>= h len)
2465 (if what
8cd2540e 2466 (math-read-big-error nil v (format "Unmatched `%s'" what))
136211a9
EZ
2467 (setq count 0))
2468 (if (memq (aref line h) '(?\( ?\[))
2469 (setq count (1+ count))
2470 (if (if (and commas (= count 1))
2471 (or (memq (aref line h) '(?\) ?\] ?\, ?\;))
2472 (and (eq (aref line h) ?\.)
2473 (< (1+ h) len)
2474 (eq (aref line (1+ h)) ?\.)))
2475 (memq (aref line h) '(?\) ?\])))
2476 (setq count (1- count))))
2477 (setq h (1+ h))))
bf77c646 2478 h))
136211a9 2479
4b37638f
JB
2480(provide 'calc-lang)
2481
cbee283d 2482;; arch-tag: 483bfe15-f290-4fef-bb7d-ce65be687f2e
bf77c646 2483;;; calc-lang.el ends here