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3132f345 CW |
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. |
3132f345 CW |
5 | |
6 | ;; Author: David Gillespie <daveg@synaptics.com> | |
e8fff8ed | 7 | ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com> |
136211a9 EZ |
8 | |
9 | ;; This file is part of GNU Emacs. | |
10 | ||
7c671b23 GM |
11 | ;; GNU Emacs is free software; you can redistribute it and/or modify |
12 | ;; it under the terms of the GNU General Public License as published by | |
075969b4 | 13 | ;; the Free Software Foundation; either version 3, or (at your option) |
7c671b23 GM |
14 | ;; any later version. |
15 | ||
136211a9 | 16 | ;; GNU Emacs is distributed in the hope that it will be useful, |
7c671b23 GM |
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 | |
22 | ;; along with GNU Emacs; see the file COPYING. If not, write to the | |
23 | ;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, | |
24 | ;; Boston, MA 02110-1301, USA. | |
136211a9 | 25 | |
3132f345 CW |
26 | ;;; Commentary: |
27 | ||
28 | ;;; Code: | |
136211a9 | 29 | |
136211a9 | 30 | ;; This file is autoloaded from calc-ext.el. |
136211a9 | 31 | |
4b37638f | 32 | (require 'calc-ext) |
136211a9 EZ |
33 | (require 'calc-macs) |
34 | ||
41f4eebc JB |
35 | |
36 | ;; Declare functions which are defined elsewhere. | |
7cf24610 | 37 | (declare-function math-compose-vector "calccomp" (a sep prec)) |
3ae7df79 | 38 | (declare-function math-compose-var "calccomp" (a)) |
7cf24610 | 39 | (declare-function math-tex-expr-is-flat "calccomp" (a)) |
41f4eebc JB |
40 | (declare-function math-read-factor "calc-aent" ()) |
41 | (declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term)) | |
42 | ||
7cf24610 JB |
43 | ;; Declare variables which are defined elsewhere. |
44 | (defvar calc-lang-slash-idiv) | |
45 | (defvar calc-lang-allow-underscores) | |
8c1bb960 | 46 | (defvar calc-lang-allow-percentsigns) |
7cf24610 JB |
47 | (defvar math-comp-left-bracket) |
48 | (defvar math-comp-right-bracket) | |
49 | (defvar math-comp-comma) | |
50 | (defvar math-comp-vector-prec) | |
51 | ||
136211a9 EZ |
52 | ;;; Alternate entry/display languages. |
53 | ||
54 | (defun calc-set-language (lang &optional option no-refresh) | |
09be88b3 | 55 | (setq math-expr-opers (or (get lang 'math-oper-table) (math-standard-ops)) |
136211a9 EZ |
56 | math-expr-function-mapping (get lang 'math-function-table) |
57 | math-expr-variable-mapping (get lang 'math-variable-table) | |
58 | calc-language-input-filter (get lang 'math-input-filter) | |
59 | calc-language-output-filter (get lang 'math-output-filter) | |
60 | calc-vector-brackets (or (get lang 'math-vector-brackets) "[]") | |
61 | calc-complex-format (get lang 'math-complex-format) | |
62 | calc-radix-formatter (get lang 'math-radix-formatter) | |
63 | calc-function-open (or (get lang 'math-function-open) "(") | |
64 | calc-function-close (or (get lang 'math-function-close) ")")) | |
65 | (if no-refresh | |
66 | (setq calc-language lang | |
67 | calc-language-option option) | |
68 | (calc-change-mode '(calc-language calc-language-option) | |
bf77c646 | 69 | (list lang option) t))) |
136211a9 EZ |
70 | |
71 | (defun calc-normal-language () | |
72 | (interactive) | |
73 | (calc-wrapper | |
74 | (calc-set-language nil) | |
3132f345 | 75 | (message "Normal language mode"))) |
136211a9 EZ |
76 | |
77 | (defun calc-flat-language () | |
78 | (interactive) | |
79 | (calc-wrapper | |
80 | (calc-set-language 'flat) | |
3132f345 | 81 | (message "Flat language mode (all stack entries shown on one line)"))) |
136211a9 EZ |
82 | |
83 | (defun calc-big-language () | |
84 | (interactive) | |
85 | (calc-wrapper | |
86 | (calc-set-language 'big) | |
3132f345 | 87 | (message "\"Big\" language mode"))) |
136211a9 EZ |
88 | |
89 | (defun calc-unformatted-language () | |
90 | (interactive) | |
91 | (calc-wrapper | |
92 | (calc-set-language 'unform) | |
3132f345 | 93 | (message "Unformatted language mode"))) |
136211a9 EZ |
94 | |
95 | ||
96 | (defun calc-c-language () | |
97 | (interactive) | |
98 | (calc-wrapper | |
99 | (calc-set-language 'c) | |
3132f345 | 100 | (message "`C' language mode"))) |
136211a9 EZ |
101 | |
102 | (put 'c 'math-oper-table | |
ca54ae34 | 103 | '( ( "u!" calcFunc-lnot -1 1000 ) |
136211a9 | 104 | ( "~" calcFunc-not -1 1000 ) |
ca54ae34 JB |
105 | ( "u+" ident -1 197 ) |
106 | ( "u-" neg -1 197 ) | |
136211a9 EZ |
107 | ( "*" * 190 191 ) |
108 | ( "/" / 190 191 ) | |
109 | ( "%" % 190 191 ) | |
110 | ( "+" + 180 181 ) | |
111 | ( "-" - 180 181 ) | |
112 | ( "<<" calcFunc-lsh 170 171 ) | |
113 | ( ">>" calcFunc-rsh 170 171 ) | |
114 | ( "<" calcFunc-lt 160 161 ) | |
115 | ( ">" calcFunc-gt 160 161 ) | |
116 | ( "<=" calcFunc-leq 160 161 ) | |
117 | ( ">=" calcFunc-geq 160 161 ) | |
118 | ( "==" calcFunc-eq 150 151 ) | |
119 | ( "!=" calcFunc-neq 150 151 ) | |
120 | ( "&" calcFunc-and 140 141 ) | |
121 | ( "^" calcFunc-xor 131 130 ) | |
122 | ( "|" calcFunc-or 120 121 ) | |
123 | ( "&&" calcFunc-land 110 111 ) | |
124 | ( "||" calcFunc-lor 100 101 ) | |
125 | ( "?" (math-read-if) 91 90 ) | |
126 | ( "!!!" calcFunc-pnot -1 88 ) | |
127 | ( "&&&" calcFunc-pand 85 86 ) | |
128 | ( "|||" calcFunc-por 75 76 ) | |
129 | ( "=" calcFunc-assign 51 50 ) | |
130 | ( ":=" calcFunc-assign 51 50 ) | |
bf77c646 | 131 | ( "::" calcFunc-condition 45 46 ))) ; should support full assignments |
136211a9 EZ |
132 | |
133 | (put 'c 'math-function-table | |
134 | '( ( acos . calcFunc-arccos ) | |
135 | ( acosh . calcFunc-arccosh ) | |
136 | ( asin . calcFunc-arcsin ) | |
137 | ( asinh . calcFunc-arcsinh ) | |
138 | ( atan . calcFunc-arctan ) | |
139 | ( atan2 . calcFunc-arctan2 ) | |
bf77c646 | 140 | ( atanh . calcFunc-arctanh ))) |
136211a9 EZ |
141 | |
142 | (put 'c 'math-variable-table | |
143 | '( ( M_PI . var-pi ) | |
bf77c646 | 144 | ( M_E . var-e ))) |
136211a9 EZ |
145 | |
146 | (put 'c 'math-vector-brackets "{}") | |
147 | ||
148 | (put 'c 'math-radix-formatter | |
149 | (function (lambda (r s) | |
150 | (if (= r 16) (format "0x%s" s) | |
151 | (if (= r 8) (format "0%s" s) | |
152 | (format "%d#%s" r s)))))) | |
153 | ||
7cf24610 JB |
154 | (put 'c 'math-compose-subscr |
155 | (function | |
156 | (lambda (a) | |
157 | (let ((args (cdr (cdr a)))) | |
158 | (list 'horiz | |
159 | (math-compose-expr (nth 1 a) 1000) | |
160 | "[" | |
161 | (math-compose-vector args ", " 0) | |
162 | "]"))))) | |
163 | ||
164 | (add-to-list 'calc-lang-slash-idiv 'c) | |
165 | (add-to-list 'calc-lang-allow-underscores 'c) | |
166 | (add-to-list 'calc-lang-c-type-hex 'c) | |
167 | (add-to-list 'calc-lang-brackets-are-subscripts 'c) | |
136211a9 EZ |
168 | |
169 | (defun calc-pascal-language (n) | |
170 | (interactive "P") | |
171 | (calc-wrapper | |
172 | (and n (setq n (prefix-numeric-value n))) | |
173 | (calc-set-language 'pascal n) | |
174 | (message (if (and n (/= n 0)) | |
175 | (if (> n 0) | |
3132f345 CW |
176 | "Pascal language mode (all uppercase)" |
177 | "Pascal language mode (all lowercase)") | |
178 | "Pascal language mode")))) | |
136211a9 EZ |
179 | |
180 | (put 'pascal 'math-oper-table | |
181 | '( ( "not" calcFunc-lnot -1 1000 ) | |
182 | ( "*" * 190 191 ) | |
183 | ( "/" / 190 191 ) | |
184 | ( "and" calcFunc-and 190 191 ) | |
185 | ( "div" calcFunc-idiv 190 191 ) | |
186 | ( "mod" % 190 191 ) | |
187 | ( "u+" ident -1 185 ) | |
188 | ( "u-" neg -1 185 ) | |
189 | ( "+" + 180 181 ) | |
190 | ( "-" - 180 181 ) | |
191 | ( "or" calcFunc-or 180 181 ) | |
192 | ( "xor" calcFunc-xor 180 181 ) | |
193 | ( "shl" calcFunc-lsh 180 181 ) | |
194 | ( "shr" calcFunc-rsh 180 181 ) | |
195 | ( "in" calcFunc-in 160 161 ) | |
196 | ( "<" calcFunc-lt 160 161 ) | |
197 | ( ">" calcFunc-gt 160 161 ) | |
198 | ( "<=" calcFunc-leq 160 161 ) | |
199 | ( ">=" calcFunc-geq 160 161 ) | |
200 | ( "=" calcFunc-eq 160 161 ) | |
201 | ( "<>" calcFunc-neq 160 161 ) | |
202 | ( "!!!" calcFunc-pnot -1 85 ) | |
203 | ( "&&&" calcFunc-pand 80 81 ) | |
204 | ( "|||" calcFunc-por 75 76 ) | |
205 | ( ":=" calcFunc-assign 51 50 ) | |
bf77c646 | 206 | ( "::" calcFunc-condition 45 46 ))) |
136211a9 EZ |
207 | |
208 | (put 'pascal 'math-input-filter 'calc-input-case-filter) | |
209 | (put 'pascal 'math-output-filter 'calc-output-case-filter) | |
210 | ||
211 | (put 'pascal 'math-radix-formatter | |
212 | (function (lambda (r s) | |
213 | (if (= r 16) (format "$%s" s) | |
214 | (format "%d#%s" r s))))) | |
215 | ||
7cf24610 JB |
216 | (put 'pascal 'math-lang-read-symbol |
217 | '((?\$ | |
218 | (eq (string-match | |
219 | "\\(\\$[0-9a-fA-F]+\\)\\($\\|[^0-9a-zA-Z]\\)" | |
220 | math-exp-str math-exp-pos) | |
221 | math-exp-pos) | |
222 | (setq math-exp-token 'number | |
223 | math-expr-data (math-match-substring math-exp-str 1) | |
224 | math-exp-pos (match-end 1))))) | |
225 | ||
226 | (put 'pascal 'math-compose-subscr | |
227 | (function | |
228 | (lambda (a) | |
229 | (let ((args (cdr (cdr a)))) | |
230 | (while (eq (car-safe (nth 1 a)) 'calcFunc-subscr) | |
231 | (setq args (append (cdr (cdr (nth 1 a))) args) | |
232 | a (nth 1 a))) | |
233 | (list 'horiz | |
234 | (math-compose-expr (nth 1 a) 1000) | |
235 | "[" | |
236 | (math-compose-vector args ", " 0) | |
237 | "]"))))) | |
238 | ||
239 | (add-to-list 'calc-lang-allow-underscores 'pascal) | |
240 | (add-to-list 'calc-lang-brackets-are-subscripts 'pascal) | |
241 | ||
136211a9 EZ |
242 | (defun calc-input-case-filter (str) |
243 | (cond ((or (null calc-language-option) (= calc-language-option 0)) | |
244 | str) | |
245 | (t | |
bf77c646 | 246 | (downcase str)))) |
136211a9 EZ |
247 | |
248 | (defun calc-output-case-filter (str) | |
249 | (cond ((or (null calc-language-option) (= calc-language-option 0)) | |
250 | str) | |
251 | ((> calc-language-option 0) | |
252 | (upcase str)) | |
253 | (t | |
bf77c646 | 254 | (downcase str)))) |
136211a9 EZ |
255 | |
256 | ||
257 | (defun calc-fortran-language (n) | |
258 | (interactive "P") | |
259 | (calc-wrapper | |
260 | (and n (setq n (prefix-numeric-value n))) | |
261 | (calc-set-language 'fortran n) | |
262 | (message (if (and n (/= n 0)) | |
263 | (if (> n 0) | |
3132f345 CW |
264 | "FORTRAN language mode (all uppercase)" |
265 | "FORTRAN language mode (all lowercase)") | |
266 | "FORTRAN language mode")))) | |
136211a9 EZ |
267 | |
268 | (put 'fortran 'math-oper-table | |
269 | '( ( "u/" (math-parse-fortran-vector) -1 1 ) | |
270 | ( "/" (math-parse-fortran-vector-end) 1 -1 ) | |
271 | ( "**" ^ 201 200 ) | |
272 | ( "u+" ident -1 191 ) | |
273 | ( "u-" neg -1 191 ) | |
274 | ( "*" * 190 191 ) | |
275 | ( "/" / 190 191 ) | |
276 | ( "+" + 180 181 ) | |
277 | ( "-" - 180 181 ) | |
278 | ( ".LT." calcFunc-lt 160 161 ) | |
279 | ( ".GT." calcFunc-gt 160 161 ) | |
280 | ( ".LE." calcFunc-leq 160 161 ) | |
281 | ( ".GE." calcFunc-geq 160 161 ) | |
282 | ( ".EQ." calcFunc-eq 160 161 ) | |
283 | ( ".NE." calcFunc-neq 160 161 ) | |
284 | ( ".NOT." calcFunc-lnot -1 121 ) | |
285 | ( ".AND." calcFunc-land 110 111 ) | |
286 | ( ".OR." calcFunc-lor 100 101 ) | |
287 | ( "!!!" calcFunc-pnot -1 85 ) | |
288 | ( "&&&" calcFunc-pand 80 81 ) | |
289 | ( "|||" calcFunc-por 75 76 ) | |
290 | ( "=" calcFunc-assign 51 50 ) | |
291 | ( ":=" calcFunc-assign 51 50 ) | |
bf77c646 | 292 | ( "::" calcFunc-condition 45 46 ))) |
136211a9 EZ |
293 | |
294 | (put 'fortran 'math-vector-brackets "//") | |
295 | ||
296 | (put 'fortran 'math-function-table | |
297 | '( ( acos . calcFunc-arccos ) | |
298 | ( acosh . calcFunc-arccosh ) | |
299 | ( aimag . calcFunc-im ) | |
300 | ( aint . calcFunc-ftrunc ) | |
301 | ( asin . calcFunc-arcsin ) | |
302 | ( asinh . calcFunc-arcsinh ) | |
303 | ( atan . calcFunc-arctan ) | |
304 | ( atan2 . calcFunc-arctan2 ) | |
305 | ( atanh . calcFunc-arctanh ) | |
306 | ( conjg . calcFunc-conj ) | |
307 | ( log . calcFunc-ln ) | |
308 | ( nint . calcFunc-round ) | |
a1506d29 | 309 | ( real . calcFunc-re ))) |
136211a9 EZ |
310 | |
311 | (put 'fortran 'math-input-filter 'calc-input-case-filter) | |
7cf24610 | 312 | |
136211a9 EZ |
313 | (put 'fortran 'math-output-filter 'calc-output-case-filter) |
314 | ||
7cf24610 JB |
315 | (put 'fortran 'math-lang-read-symbol |
316 | '((?\. | |
317 | (eq (string-match "\\.[a-zA-Z][a-zA-Z][a-zA-Z]?\\." | |
318 | math-exp-str math-exp-pos) math-exp-pos) | |
319 | (setq math-exp-token 'punc | |
320 | math-expr-data (upcase (math-match-substring math-exp-str 0)) | |
321 | math-exp-pos (match-end 0))))) | |
322 | ||
323 | (put 'fortran 'math-compose-subscr | |
324 | (function | |
325 | (lambda (a) | |
326 | (let ((args (cdr (cdr a)))) | |
327 | (while (eq (car-safe (nth 1 a)) 'calcFunc-subscr) | |
328 | (setq args (append (cdr (cdr (nth 1 a))) args) | |
329 | a (nth 1 a))) | |
330 | (list 'horiz | |
331 | (math-compose-expr (nth 1 a) 1000) | |
332 | "(" | |
333 | (math-compose-vector args ", " 0) | |
334 | ")"))))) | |
335 | ||
336 | (add-to-list 'calc-lang-slash-idiv 'fortran) | |
337 | (add-to-list 'calc-lang-allow-underscores 'fortran) | |
338 | (add-to-list 'calc-lang-parens-are-subscripts 'fortran) | |
339 | ||
0aba68f8 JB |
340 | ;; The next few variables are local to math-read-exprs in calc-aent.el |
341 | ;; and math-read-expr in calc-ext.el, but are set in functions they call. | |
342 | ||
343 | (defvar math-exp-token) | |
344 | (defvar math-expr-data) | |
345 | (defvar math-exp-old-pos) | |
346 | ||
3132f345 | 347 | (defvar math-parsing-fortran-vector nil) |
136211a9 EZ |
348 | (defun math-parse-fortran-vector (op) |
349 | (let ((math-parsing-fortran-vector '(end . "\000"))) | |
350 | (prog1 | |
351 | (math-read-brackets t "]") | |
679e2630 | 352 | (setq math-exp-token (car math-parsing-fortran-vector) |
54961aa0 | 353 | math-expr-data (cdr math-parsing-fortran-vector))))) |
136211a9 EZ |
354 | |
355 | (defun math-parse-fortran-vector-end (x op) | |
356 | (if math-parsing-fortran-vector | |
357 | (progn | |
679e2630 JB |
358 | (setq math-parsing-fortran-vector (cons math-exp-token math-expr-data) |
359 | math-exp-token 'end | |
54961aa0 | 360 | math-expr-data "\000") |
136211a9 | 361 | x) |
bf77c646 | 362 | (throw 'syntax "Unmatched closing `/'"))) |
136211a9 EZ |
363 | |
364 | (defun math-parse-fortran-subscr (sym args) | |
365 | (setq sym (math-build-var-name sym)) | |
366 | (while args | |
367 | (setq sym (list 'calcFunc-subscr sym (car args)) | |
368 | args (cdr args))) | |
bf77c646 | 369 | sym) |
136211a9 EZ |
370 | |
371 | ||
372 | (defun calc-tex-language (n) | |
373 | (interactive "P") | |
374 | (calc-wrapper | |
375 | (and n (setq n (prefix-numeric-value n))) | |
376 | (calc-set-language 'tex n) | |
61983af0 JB |
377 | (cond ((not n) |
378 | (message "TeX language mode")) | |
379 | ((= n 0) | |
380 | (message "TeX language mode with multiline matrices")) | |
381 | ((= n 1) | |
382 | (message "TeX language mode with \\hbox{func}(\\hbox{var})")) | |
383 | ((> n 1) | |
384 | (message | |
385 | "TeX language mode with \\hbox{func}(\\hbox{var}) and multiline matrices")) | |
386 | ((= n -1) | |
387 | (message "TeX language mode with \\func(\\hbox{var})")) | |
388 | ((< n -1) | |
389 | (message | |
390 | "TeX language mode with \\func(\\hbox{var}) and multiline matrices"))))) | |
136211a9 | 391 | |
2d3ce3f2 JB |
392 | (defun calc-latex-language (n) |
393 | (interactive "P") | |
394 | (calc-wrapper | |
395 | (and n (setq n (prefix-numeric-value n))) | |
396 | (calc-set-language 'latex n) | |
397 | (cond ((not n) | |
398 | (message "LaTeX language mode")) | |
399 | ((= n 0) | |
400 | (message "LaTeX language mode with multiline matrices")) | |
401 | ((= n 1) | |
402 | (message "LaTeX language mode with \\text{func}(\\text{var})")) | |
403 | ((> n 1) | |
404 | (message | |
405 | "LaTeX language mode with \\text{func}(\\text{var}) and multiline matrices")) | |
406 | ((= n -1) | |
407 | (message "LaTeX language mode with \\func(\\text{var})")) | |
408 | ((< n -1) | |
409 | (message | |
410 | "LaTeX language mode with \\func(\\text{var}) and multiline matrices"))))) | |
411 | ||
c65d0380 JB |
412 | (put 'tex 'math-lang-name "TeX") |
413 | (put 'latex 'math-lang-name "LaTeX") | |
414 | ||
136211a9 | 415 | (put 'tex 'math-oper-table |
ca54ae34 | 416 | '( ( "\\hat" calcFunc-hat -1 950 ) |
136211a9 EZ |
417 | ( "\\check" calcFunc-check -1 950 ) |
418 | ( "\\tilde" calcFunc-tilde -1 950 ) | |
419 | ( "\\acute" calcFunc-acute -1 950 ) | |
420 | ( "\\grave" calcFunc-grave -1 950 ) | |
421 | ( "\\dot" calcFunc-dot -1 950 ) | |
422 | ( "\\ddot" calcFunc-dotdot -1 950 ) | |
423 | ( "\\breve" calcFunc-breve -1 950 ) | |
424 | ( "\\bar" calcFunc-bar -1 950 ) | |
425 | ( "\\vec" calcFunc-Vec -1 950 ) | |
426 | ( "\\underline" calcFunc-under -1 950 ) | |
427 | ( "u|" calcFunc-abs -1 0 ) | |
428 | ( "|" closing 0 -1 ) | |
429 | ( "\\lfloor" calcFunc-floor -1 0 ) | |
430 | ( "\\rfloor" closing 0 -1 ) | |
431 | ( "\\lceil" calcFunc-ceil -1 0 ) | |
432 | ( "\\rceil" closing 0 -1 ) | |
433 | ( "\\pm" sdev 300 300 ) | |
434 | ( "!" calcFunc-fact 210 -1 ) | |
435 | ( "^" ^ 201 200 ) | |
436 | ( "_" calcFunc-subscr 201 200 ) | |
ca54ae34 JB |
437 | ( "u+" ident -1 197 ) |
438 | ( "u-" neg -1 197 ) | |
136211a9 EZ |
439 | ( "\\times" * 191 190 ) |
440 | ( "*" * 191 190 ) | |
441 | ( "2x" * 191 190 ) | |
442 | ( "+" + 180 181 ) | |
443 | ( "-" - 180 181 ) | |
444 | ( "\\over" / 170 171 ) | |
fda9b316 | 445 | ( "/" / 170 171 ) |
136211a9 EZ |
446 | ( "\\choose" calcFunc-choose 170 171 ) |
447 | ( "\\mod" % 170 171 ) | |
448 | ( "<" calcFunc-lt 160 161 ) | |
449 | ( ">" calcFunc-gt 160 161 ) | |
450 | ( "\\leq" calcFunc-leq 160 161 ) | |
451 | ( "\\geq" calcFunc-geq 160 161 ) | |
452 | ( "=" calcFunc-eq 160 161 ) | |
453 | ( "\\neq" calcFunc-neq 160 161 ) | |
454 | ( "\\ne" calcFunc-neq 160 161 ) | |
455 | ( "\\lnot" calcFunc-lnot -1 121 ) | |
456 | ( "\\land" calcFunc-land 110 111 ) | |
457 | ( "\\lor" calcFunc-lor 100 101 ) | |
458 | ( "?" (math-read-if) 91 90 ) | |
459 | ( "!!!" calcFunc-pnot -1 85 ) | |
460 | ( "&&&" calcFunc-pand 80 81 ) | |
461 | ( "|||" calcFunc-por 75 76 ) | |
462 | ( "\\gets" calcFunc-assign 51 50 ) | |
463 | ( ":=" calcFunc-assign 51 50 ) | |
464 | ( "::" calcFunc-condition 45 46 ) | |
465 | ( "\\to" calcFunc-evalto 40 41 ) | |
466 | ( "\\to" calcFunc-evalto 40 -1 ) | |
467 | ( "=>" calcFunc-evalto 40 41 ) | |
bf77c646 | 468 | ( "=>" calcFunc-evalto 40 -1 ))) |
136211a9 EZ |
469 | |
470 | (put 'tex 'math-function-table | |
471 | '( ( \\arccos . calcFunc-arccos ) | |
472 | ( \\arcsin . calcFunc-arcsin ) | |
473 | ( \\arctan . calcFunc-arctan ) | |
474 | ( \\arg . calcFunc-arg ) | |
475 | ( \\cos . calcFunc-cos ) | |
476 | ( \\cosh . calcFunc-cosh ) | |
671dfbd8 JB |
477 | ( \\cot . calcFunc-cot ) |
478 | ( \\coth . calcFunc-coth ) | |
479 | ( \\csc . calcFunc-csc ) | |
136211a9 EZ |
480 | ( \\det . calcFunc-det ) |
481 | ( \\exp . calcFunc-exp ) | |
482 | ( \\gcd . calcFunc-gcd ) | |
483 | ( \\ln . calcFunc-ln ) | |
484 | ( \\log . calcFunc-log10 ) | |
485 | ( \\max . calcFunc-max ) | |
486 | ( \\min . calcFunc-min ) | |
671dfbd8 | 487 | ( \\sec . calcFunc-sec ) |
136211a9 EZ |
488 | ( \\sin . calcFunc-sin ) |
489 | ( \\sinh . calcFunc-sinh ) | |
490 | ( \\sqrt . calcFunc-sqrt ) | |
671dfbd8 | 491 | ( \\tan . calcFunc-tan ) |
136211a9 EZ |
492 | ( \\tanh . calcFunc-tanh ) |
493 | ( \\phi . calcFunc-totient ) | |
bf77c646 | 494 | ( \\mu . calcFunc-moebius ))) |
136211a9 | 495 | |
7cf24610 JB |
496 | (put 'tex 'math-special-function-table |
497 | '((calcFunc-sum . (math-compose-tex-sum "\\sum")) | |
498 | (calcFunc-prod . (math-compose-tex-sum "\\prod")) | |
499 | (intv . math-compose-tex-intv))) | |
500 | ||
136211a9 | 501 | (put 'tex 'math-variable-table |
eb8c8b04 JB |
502 | '( |
503 | ;; The Greek letters | |
504 | ( \\alpha . var-alpha ) | |
505 | ( \\beta . var-beta ) | |
506 | ( \\gamma . var-gamma ) | |
507 | ( \\Gamma . var-Gamma ) | |
508 | ( \\delta . var-delta ) | |
509 | ( \\Delta . var-Delta ) | |
510 | ( \\epsilon . var-epsilon ) | |
511 | ( \\varepsilon . var-varepsilon) | |
512 | ( \\zeta . var-zeta ) | |
513 | ( \\eta . var-eta ) | |
514 | ( \\theta . var-theta ) | |
515 | ( \\vartheta . var-vartheta ) | |
516 | ( \\Theta . var-Theta ) | |
517 | ( \\iota . var-iota ) | |
518 | ( \\kappa . var-kappa ) | |
519 | ( \\lambda . var-lambda ) | |
520 | ( \\Lambda . var-Lambda ) | |
521 | ( \\mu . var-mu ) | |
522 | ( \\nu . var-nu ) | |
523 | ( \\xi . var-xi ) | |
524 | ( \\Xi . var-Xi ) | |
525 | ( \\pi . var-pi ) | |
526 | ( \\varpi . var-varpi ) | |
527 | ( \\Pi . var-Pi ) | |
528 | ( \\rho . var-rho ) | |
529 | ( \\varrho . var-varrho ) | |
530 | ( \\sigma . var-sigma ) | |
531 | ( \\sigma . var-varsigma ) | |
532 | ( \\Sigma . var-Sigma ) | |
533 | ( \\tau . var-tau ) | |
534 | ( \\upsilon . var-upsilon ) | |
535 | ( \\Upsilon . var-Upsilon ) | |
536 | ( \\phi . var-phi ) | |
537 | ( \\varphi . var-varphi ) | |
538 | ( \\Phi . var-Phi ) | |
539 | ( \\chi . var-chi ) | |
540 | ( \\psi . var-psi ) | |
541 | ( \\Psi . var-Psi ) | |
542 | ( \\omega . var-omega ) | |
543 | ( \\Omega . var-Omega ) | |
544 | ;; Others | |
545 | ( \\ell . var-ell ) | |
546 | ( \\infty . var-inf ) | |
547 | ( \\infty . var-uinf ) | |
548 | ( \\sum . (math-parse-tex-sum calcFunc-sum) ) | |
549 | ( \\prod . (math-parse-tex-sum calcFunc-prod) ))) | |
136211a9 | 550 | |
7cf24610 JB |
551 | (put 'tex 'math-punc-table |
552 | '((?\{ . ?\() | |
553 | (?\} . ?\)) | |
554 | (?\& . ?\,))) | |
555 | ||
136211a9 EZ |
556 | (put 'tex 'math-complex-format 'i) |
557 | ||
7cf24610 JB |
558 | (put 'tex 'math-input-filter 'math-tex-input-filter) |
559 | ||
560 | (put 'tex 'math-matrix-formatter | |
561 | (function | |
562 | (lambda (a) | |
563 | (if (and (integerp calc-language-option) | |
564 | (or (= calc-language-option 0) | |
565 | (> calc-language-option 1) | |
566 | (< calc-language-option -1))) | |
567 | (append '(vleft 0 "\\matrix{") | |
568 | (math-compose-tex-matrix (cdr a)) | |
569 | '("}")) | |
570 | (append '(horiz "\\matrix{ ") | |
571 | (math-compose-tex-matrix (cdr a)) | |
572 | '(" }")))))) | |
573 | ||
574 | (put 'tex 'math-var-formatter 'math-compose-tex-var) | |
575 | ||
576 | (put 'tex 'math-func-formatter 'math-compose-tex-func) | |
577 | ||
578 | (put 'tex 'math-dots "\\ldots") | |
579 | ||
580 | (put 'tex 'math-big-parens '("\\left( " . " \\right)")) | |
581 | ||
582 | (put 'tex 'math-evalto '("\\evalto " . " \\to ")) | |
583 | ||
584 | (defconst math-tex-ignore-words | |
585 | '( ("\\hbox") ("\\mbox") ("\\text") ("\\left") ("\\right") | |
586 | ("\\,") ("\\>") ("\\:") ("\\;") ("\\!") ("\\ ") | |
587 | ("\\quad") ("\\qquad") ("\\hfil") ("\\hfill") | |
588 | ("\\displaystyle") ("\\textstyle") ("\\dsize") ("\\tsize") | |
589 | ("\\scriptstyle") ("\\scriptscriptstyle") ("\\ssize") ("\\sssize") | |
590 | ("\\rm") ("\\bf") ("\\it") ("\\sl") | |
591 | ("\\roman") ("\\bold") ("\\italic") ("\\slanted") | |
592 | ("\\cal") ("\\mit") ("\\Cal") ("\\Bbb") ("\\frak") ("\\goth") | |
593 | ("\\evalto") | |
594 | ("\\matrix" mat) ("\\bmatrix" mat) ("\\pmatrix" mat) | |
595 | ("\\begin" begenv) | |
596 | ("\\cr" punc ";") ("\\\\" punc ";") ("\\*" punc "*") | |
597 | ("\\{" punc "[") ("\\}" punc "]"))) | |
598 | ||
599 | (defconst math-latex-ignore-words | |
600 | (append math-tex-ignore-words | |
601 | '(("\\begin" begenv)))) | |
602 | ||
603 | (put 'tex 'math-lang-read-symbol | |
604 | '((?\\ | |
605 | (< math-exp-pos (1- (length math-exp-str))) | |
606 | (progn | |
607 | (or (string-match "\\\\hbox *{\\([a-zA-Z0-9]+\\)}" | |
608 | math-exp-str math-exp-pos) | |
609 | (string-match "\\(\\\\\\([a-zA-Z]+\\|[^a-zA-Z]\\)\\)" | |
610 | math-exp-str math-exp-pos)) | |
611 | (setq math-exp-token 'symbol | |
612 | math-exp-pos (match-end 0) | |
613 | math-expr-data (math-restore-dashes | |
614 | (math-match-substring math-exp-str 1))) | |
615 | (let ((code (assoc math-expr-data math-latex-ignore-words))) | |
616 | (cond ((null code)) | |
617 | ((null (cdr code)) | |
618 | (math-read-token)) | |
619 | ((eq (nth 1 code) 'punc) | |
620 | (setq math-exp-token 'punc | |
621 | math-expr-data (nth 2 code))) | |
622 | ((and (eq (nth 1 code) 'mat) | |
623 | (string-match " *{" math-exp-str math-exp-pos)) | |
624 | (setq math-exp-pos (match-end 0) | |
625 | math-exp-token 'punc | |
626 | math-expr-data "[") | |
627 | (let ((right (string-match "}" math-exp-str math-exp-pos))) | |
628 | (and right | |
629 | (setq math-exp-str (copy-sequence math-exp-str)) | |
630 | (aset math-exp-str right ?\])))))))))) | |
631 | ||
632 | (defun math-compose-tex-matrix (a &optional ltx) | |
633 | (if (cdr a) | |
634 | (cons (append (math-compose-vector (cdr (car a)) " & " 0) | |
635 | (if ltx '(" \\\\ ") '(" \\cr "))) | |
636 | (math-compose-tex-matrix (cdr a) ltx)) | |
637 | (list (math-compose-vector (cdr (car a)) " & " 0)))) | |
638 | ||
639 | (defun math-compose-tex-sum (a fn) | |
640 | (cond | |
641 | ((nth 4 a) | |
642 | (list 'horiz (nth 1 fn) | |
643 | "_{" (math-compose-expr (nth 2 a) 0) | |
644 | "=" (math-compose-expr (nth 3 a) 0) | |
645 | "}^{" (math-compose-expr (nth 4 a) 0) | |
646 | "}{" (math-compose-expr (nth 1 a) 0) "}")) | |
647 | ((nth 3 a) | |
648 | (list 'horiz (nth 1 fn) | |
649 | "_{" (math-compose-expr (nth 2 a) 0) | |
650 | "=" (math-compose-expr (nth 3 a) 0) | |
651 | "}{" (math-compose-expr (nth 1 a) 0) "}")) | |
652 | (t | |
653 | (list 'horiz (nth 1 fn) | |
654 | "_{" (math-compose-expr (nth 2 a) 0) | |
655 | "}{" (math-compose-expr (nth 1 a) 0) "}")))) | |
656 | ||
136211a9 EZ |
657 | (defun math-parse-tex-sum (f val) |
658 | (let (low high save) | |
54961aa0 | 659 | (or (equal math-expr-data "_") (throw 'syntax "Expected `_'")) |
136211a9 | 660 | (math-read-token) |
679e2630 | 661 | (setq save math-exp-old-pos) |
136211a9 EZ |
662 | (setq low (math-read-factor)) |
663 | (or (eq (car-safe low) 'calcFunc-eq) | |
664 | (progn | |
679e2630 | 665 | (setq math-exp-old-pos (1+ save)) |
136211a9 | 666 | (throw 'syntax "Expected equation"))) |
54961aa0 | 667 | (or (equal math-expr-data "^") (throw 'syntax "Expected `^'")) |
136211a9 EZ |
668 | (math-read-token) |
669 | (setq high (math-read-factor)) | |
bf77c646 | 670 | (list (nth 2 f) (math-read-factor) (nth 1 low) (nth 2 low) high))) |
136211a9 EZ |
671 | |
672 | (defun math-tex-input-filter (str) ; allow parsing of 123\,456\,789. | |
673 | (while (string-match "[0-9]\\\\,[0-9]" str) | |
674 | (setq str (concat (substring str 0 (1+ (match-beginning 0))) | |
675 | (substring str (1- (match-end 0)))))) | |
bf77c646 | 676 | str) |
7cf24610 JB |
677 | |
678 | ;(defun math-tex-print-sqrt (a) | |
679 | ; (list 'horiz | |
680 | ; "\\sqrt{" | |
681 | ; (math-compose-expr (nth 1 a) 0) | |
682 | ; "}")) | |
683 | ||
684 | (defun math-compose-tex-intv (a) | |
685 | (list 'horiz | |
686 | (if (memq (nth 1 a) '(0 1)) "(" "[") | |
687 | (math-compose-expr (nth 2 a) 0) | |
688 | " \\ldots " | |
689 | (math-compose-expr (nth 3 a) 0) | |
690 | (if (memq (nth 1 a) '(0 2)) ")" "]"))) | |
691 | ||
3ae7df79 | 692 | (defun math-compose-tex-var (a prec) |
7cf24610 JB |
693 | (if (and calc-language-option |
694 | (not (= calc-language-option 0)) | |
695 | (string-match "\\`[a-zA-Z][a-zA-Z0-9]+\\'" | |
696 | (symbol-name (nth 1 a)))) | |
697 | (if (eq calc-language 'latex) | |
698 | (format "\\text{%s}" (symbol-name (nth 1 a))) | |
699 | (format "\\hbox{%s}" (symbol-name (nth 1 a)))) | |
3ae7df79 | 700 | (math-compose-var a))) |
7cf24610 JB |
701 | |
702 | (defun math-compose-tex-func (func a) | |
703 | (let (left right) | |
704 | (if (and calc-language-option | |
705 | (not (= calc-language-option 0)) | |
706 | (string-match "\\`[a-zA-Z][a-zA-Z0-9]+\\'" func)) | |
707 | (if (< (prefix-numeric-value calc-language-option) 0) | |
708 | (setq func (format "\\%s" func)) | |
709 | (setq func (if (eq calc-language 'latex) | |
710 | (format "\\text{%s}" func) | |
711 | (format "\\hbox{%s}" func))))) | |
712 | (cond ((or (> (length a) 2) | |
713 | (not (math-tex-expr-is-flat (nth 1 a)))) | |
714 | (setq left "\\left( " | |
715 | right " \\right)")) | |
716 | ((and (eq (aref func 0) ?\\) | |
717 | (not (or | |
718 | (string-match "\\hbox{" func) | |
719 | (string-match "\\text{" func))) | |
720 | (= (length a) 2) | |
721 | (or (Math-realp (nth 1 a)) | |
722 | (memq (car (nth 1 a)) '(var *)))) | |
723 | (setq left "{" right "}")) | |
724 | (t (setq left calc-function-open | |
725 | right calc-function-close))) | |
726 | (list 'horiz func | |
727 | left | |
728 | (math-compose-vector (cdr a) ", " 0) | |
729 | right))) | |
136211a9 | 730 | |
2d3ce3f2 | 731 | (put 'latex 'math-oper-table |
62a54f6c JB |
732 | (append (get 'tex 'math-oper-table) |
733 | '(( "\\Hat" calcFunc-Hat -1 950 ) | |
734 | ( "\\Check" calcFunc-Check -1 950 ) | |
735 | ( "\\Tilde" calcFunc-Tilde -1 950 ) | |
736 | ( "\\Acute" calcFunc-Acute -1 950 ) | |
737 | ( "\\Grave" calcFunc-Grave -1 950 ) | |
738 | ( "\\Dot" calcFunc-Dot -1 950 ) | |
739 | ( "\\Ddot" calcFunc-Dotdot -1 950 ) | |
740 | ( "\\Breve" calcFunc-Breve -1 950 ) | |
741 | ( "\\Bar" calcFunc-Bar -1 950 ) | |
742 | ( "\\Vec" calcFunc-VEC -1 950 ) | |
743 | ( "\\dddot" calcFunc-dddot -1 950 ) | |
744 | ( "\\ddddot" calcFunc-ddddot -1 950 ) | |
fda9b316 | 745 | ( "\\div" / 170 171 ) |
62a54f6c JB |
746 | ( "\\le" calcFunc-leq 160 161 ) |
747 | ( "\\leqq" calcFunc-leq 160 161 ) | |
748 | ( "\\leqsland" calcFunc-leq 160 161 ) | |
749 | ( "\\ge" calcFunc-geq 160 161 ) | |
750 | ( "\\geqq" calcFunc-geq 160 161 ) | |
751 | ( "\\geqslant" calcFunc-geq 160 161 ) | |
752 | ( "=" calcFunc-eq 160 161 ) | |
753 | ( "\\neq" calcFunc-neq 160 161 ) | |
754 | ( "\\ne" calcFunc-neq 160 161 ) | |
755 | ( "\\lnot" calcFunc-lnot -1 121 ) | |
756 | ( "\\land" calcFunc-land 110 111 ) | |
757 | ( "\\lor" calcFunc-lor 100 101 ) | |
758 | ( "?" (math-read-if) 91 90 ) | |
759 | ( "!!!" calcFunc-pnot -1 85 ) | |
760 | ( "&&&" calcFunc-pand 80 81 ) | |
761 | ( "|||" calcFunc-por 75 76 ) | |
762 | ( "\\gets" calcFunc-assign 51 50 ) | |
763 | ( ":=" calcFunc-assign 51 50 ) | |
764 | ( "::" calcFunc-condition 45 46 ) | |
765 | ( "\\to" calcFunc-evalto 40 41 ) | |
766 | ( "\\to" calcFunc-evalto 40 -1 ) | |
767 | ( "=>" calcFunc-evalto 40 41 ) | |
768 | ( "=>" calcFunc-evalto 40 -1 )))) | |
2d3ce3f2 JB |
769 | |
770 | (put 'latex 'math-function-table | |
62a54f6c JB |
771 | (append |
772 | (get 'tex 'math-function-table) | |
7592e970 JB |
773 | '(( \\frac . (math-latex-parse-frac)) |
774 | ( \\tfrac . (math-latex-parse-frac)) | |
775 | ( \\dfrac . (math-latex-parse-frac)) | |
776 | ( \\binom . (math-latex-parse-two-args calcFunc-choose)) | |
777 | ( \\tbinom . (math-latex-parse-two-args calcFunc-choose)) | |
778 | ( \\dbinom . (math-latex-parse-two-args calcFunc-choose)) | |
62a54f6c JB |
779 | ( \\phi . calcFunc-totient ) |
780 | ( \\mu . calcFunc-moebius )))) | |
2d3ce3f2 JB |
781 | |
782 | (put 'latex 'math-special-function-table | |
7cf24610 JB |
783 | '((/ . (math-compose-latex-frac "\\frac")) |
784 | (calcFunc-choose . (math-compose-latex-frac "\\binom")) | |
785 | (calcFunc-sum . (math-compose-tex-sum "\\sum")) | |
786 | (calcFunc-prod . (math-compose-tex-sum "\\prod")) | |
787 | (intv . math-compose-tex-intv))) | |
2d3ce3f2 JB |
788 | |
789 | (put 'latex 'math-variable-table | |
62a54f6c | 790 | (get 'tex 'math-variable-table)) |
2d3ce3f2 | 791 | |
7cf24610 JB |
792 | (put 'latex 'math-punc-table |
793 | '((?\{ . ?\() | |
794 | (?\} . ?\)) | |
795 | (?\& . ?\,))) | |
2d3ce3f2 | 796 | |
7cf24610 | 797 | (put 'latex 'math-complex-format 'i) |
7592e970 | 798 | |
7cf24610 JB |
799 | (put 'latex 'math-matrix-formatter |
800 | (function | |
801 | (lambda (a) | |
802 | (if (and (integerp calc-language-option) | |
803 | (or (= calc-language-option 0) | |
804 | (> calc-language-option 1) | |
805 | (< calc-language-option -1))) | |
806 | (append '(vleft 0 "\\begin{pmatrix}") | |
807 | (math-compose-tex-matrix (cdr a) t) | |
808 | '("\\end{pmatrix}")) | |
809 | (append '(horiz "\\begin{pmatrix} ") | |
810 | (math-compose-tex-matrix (cdr a) t) | |
811 | '(" \\end{pmatrix}")))))) | |
812 | ||
813 | (put 'latex 'math-var-formatter 'math-compose-tex-var) | |
814 | ||
815 | (put 'latex 'math-func-formatter 'math-compose-tex-func) | |
816 | ||
817 | (put 'latex 'math-dots "\\ldots") | |
818 | ||
819 | (put 'latex 'math-big-parens '("\\left( " . " \\right)")) | |
820 | ||
821 | (put 'latex 'math-evalto '("\\evalto " . " \\to ")) | |
822 | ||
823 | (put 'latex 'math-lang-read-symbol | |
824 | '((?\\ | |
825 | (< math-exp-pos (1- (length math-exp-str))) | |
826 | (progn | |
827 | (or (string-match "\\\\hbox *{\\([a-zA-Z0-9]+\\)}" | |
828 | math-exp-str math-exp-pos) | |
829 | (string-match "\\\\text *{\\([a-zA-Z0-9]+\\)}" | |
830 | math-exp-str math-exp-pos) | |
831 | (string-match "\\(\\\\\\([a-zA-Z]+\\|[^a-zA-Z]\\)\\)" | |
832 | math-exp-str math-exp-pos)) | |
833 | (setq math-exp-token 'symbol | |
834 | math-exp-pos (match-end 0) | |
835 | math-expr-data (math-restore-dashes | |
836 | (math-match-substring math-exp-str 1))) | |
837 | (let ((code (assoc math-expr-data math-tex-ignore-words)) | |
838 | envname) | |
839 | (cond ((null code)) | |
840 | ((null (cdr code)) | |
841 | (math-read-token)) | |
842 | ((eq (nth 1 code) 'punc) | |
843 | (setq math-exp-token 'punc | |
844 | math-expr-data (nth 2 code))) | |
845 | ((and (eq (nth 1 code) 'begenv) | |
846 | (string-match " *{\\([^}]*\\)}" math-exp-str math-exp-pos)) | |
847 | (setq math-exp-pos (match-end 0) | |
848 | envname (match-string 1 math-exp-str) | |
849 | math-exp-token 'punc | |
850 | math-expr-data "[") | |
851 | (cond ((or (string= envname "matrix") | |
852 | (string= envname "bmatrix") | |
853 | (string= envname "smallmatrix") | |
854 | (string= envname "pmatrix")) | |
855 | (if (string-match (concat "\\\\end{" envname "}") | |
856 | math-exp-str math-exp-pos) | |
857 | (setq math-exp-str | |
858 | (replace-match "]" t t math-exp-str)) | |
859 | (error "%s" (concat "No closing \\end{" envname "}")))))) | |
860 | ((and (eq (nth 1 code) 'mat) | |
861 | (string-match " *{" math-exp-str math-exp-pos)) | |
862 | (setq math-exp-pos (match-end 0) | |
863 | math-exp-token 'punc | |
864 | math-expr-data "[") | |
865 | (let ((right (string-match "}" math-exp-str math-exp-pos))) | |
866 | (and right | |
867 | (setq math-exp-str (copy-sequence math-exp-str)) | |
868 | (aset math-exp-str right ?\])))))))))) | |
869 | ||
2d3ce3f2 JB |
870 | (defun math-latex-parse-frac (f val) |
871 | (let (numer denom) | |
7592e970 JB |
872 | (setq numer (car (math-read-expr-list))) |
873 | (math-read-token) | |
874 | (setq denom (math-read-factor)) | |
875 | (if (and (Math-num-integerp numer) | |
876 | (Math-num-integerp denom)) | |
877 | (list 'frac numer denom) | |
878 | (list '/ numer denom)))) | |
879 | ||
880 | (defun math-latex-parse-two-args (f val) | |
881 | (let (first second) | |
882 | (setq first (car (math-read-expr-list))) | |
2d3ce3f2 | 883 | (math-read-token) |
7592e970 JB |
884 | (setq second (math-read-factor)) |
885 | (list (nth 2 f) first second))) | |
2d3ce3f2 | 886 | |
7cf24610 | 887 | (defun math-compose-latex-frac (a fn) |
2d3ce3f2 JB |
888 | (list 'horiz (nth 1 fn) "{" (math-compose-expr (nth 1 a) -1) |
889 | "}{" | |
890 | (math-compose-expr (nth 2 a) -1) | |
891 | "}")) | |
892 | ||
cfa08316 | 893 | (put 'latex 'math-input-filter 'math-tex-input-filter) |
136211a9 EZ |
894 | |
895 | (defun calc-eqn-language (n) | |
896 | (interactive "P") | |
897 | (calc-wrapper | |
898 | (calc-set-language 'eqn) | |
3132f345 | 899 | (message "Eqn language mode"))) |
136211a9 EZ |
900 | |
901 | (put 'eqn 'math-oper-table | |
ca54ae34 | 902 | '( ( "prime" (math-parse-eqn-prime) 950 -1 ) |
136211a9 EZ |
903 | ( "prime" calcFunc-Prime 950 -1 ) |
904 | ( "dot" calcFunc-dot 950 -1 ) | |
905 | ( "dotdot" calcFunc-dotdot 950 -1 ) | |
906 | ( "hat" calcFunc-hat 950 -1 ) | |
907 | ( "tilde" calcFunc-tilde 950 -1 ) | |
908 | ( "vec" calcFunc-Vec 950 -1 ) | |
909 | ( "dyad" calcFunc-dyad 950 -1 ) | |
910 | ( "bar" calcFunc-bar 950 -1 ) | |
911 | ( "under" calcFunc-under 950 -1 ) | |
912 | ( "sub" calcFunc-subscr 931 930 ) | |
913 | ( "sup" ^ 921 920 ) | |
914 | ( "sqrt" calcFunc-sqrt -1 910 ) | |
915 | ( "over" / 900 901 ) | |
916 | ( "u|" calcFunc-abs -1 0 ) | |
917 | ( "|" closing 0 -1 ) | |
918 | ( "left floor" calcFunc-floor -1 0 ) | |
919 | ( "right floor" closing 0 -1 ) | |
920 | ( "left ceil" calcFunc-ceil -1 0 ) | |
921 | ( "right ceil" closing 0 -1 ) | |
922 | ( "+-" sdev 300 300 ) | |
923 | ( "!" calcFunc-fact 210 -1 ) | |
ca54ae34 JB |
924 | ( "u+" ident -1 197 ) |
925 | ( "u-" neg -1 197 ) | |
136211a9 EZ |
926 | ( "times" * 191 190 ) |
927 | ( "*" * 191 190 ) | |
928 | ( "2x" * 191 190 ) | |
929 | ( "/" / 180 181 ) | |
930 | ( "%" % 180 181 ) | |
931 | ( "+" + 170 171 ) | |
932 | ( "-" - 170 171 ) | |
933 | ( "<" calcFunc-lt 160 161 ) | |
934 | ( ">" calcFunc-gt 160 161 ) | |
935 | ( "<=" calcFunc-leq 160 161 ) | |
936 | ( ">=" calcFunc-geq 160 161 ) | |
937 | ( "=" calcFunc-eq 160 161 ) | |
938 | ( "==" calcFunc-eq 160 161 ) | |
939 | ( "!=" calcFunc-neq 160 161 ) | |
940 | ( "u!" calcFunc-lnot -1 121 ) | |
941 | ( "&&" calcFunc-land 110 111 ) | |
942 | ( "||" calcFunc-lor 100 101 ) | |
943 | ( "?" (math-read-if) 91 90 ) | |
944 | ( "!!!" calcFunc-pnot -1 85 ) | |
945 | ( "&&&" calcFunc-pand 80 81 ) | |
946 | ( "|||" calcFunc-por 75 76 ) | |
947 | ( "<-" calcFunc-assign 51 50 ) | |
948 | ( ":=" calcFunc-assign 51 50 ) | |
949 | ( "::" calcFunc-condition 45 46 ) | |
950 | ( "->" calcFunc-evalto 40 41 ) | |
951 | ( "->" calcFunc-evalto 40 -1 ) | |
952 | ( "=>" calcFunc-evalto 40 41 ) | |
bf77c646 | 953 | ( "=>" calcFunc-evalto 40 -1 ))) |
136211a9 EZ |
954 | |
955 | (put 'eqn 'math-function-table | |
956 | '( ( arc\ cos . calcFunc-arccos ) | |
957 | ( arc\ cosh . calcFunc-arccosh ) | |
958 | ( arc\ sin . calcFunc-arcsin ) | |
959 | ( arc\ sinh . calcFunc-arcsinh ) | |
960 | ( arc\ tan . calcFunc-arctan ) | |
961 | ( arc\ tanh . calcFunc-arctanh ) | |
962 | ( GAMMA . calcFunc-gamma ) | |
963 | ( phi . calcFunc-totient ) | |
964 | ( mu . calcFunc-moebius ) | |
bf77c646 | 965 | ( matrix . (math-parse-eqn-matrix) ))) |
136211a9 | 966 | |
7cf24610 JB |
967 | (put 'eqn 'math-special-function-table |
968 | '((intv . math-compose-eqn-intv))) | |
969 | ||
970 | (put 'eqn 'math-punc-table | |
971 | '((?\{ . ?\() | |
972 | (?\} . ?\)))) | |
973 | ||
136211a9 | 974 | (put 'eqn 'math-variable-table |
bf77c646 | 975 | '( ( inf . var-uinf ))) |
136211a9 EZ |
976 | |
977 | (put 'eqn 'math-complex-format 'i) | |
978 | ||
7cf24610 JB |
979 | (put 'eqn 'math-big-parens '("{left ( " . " right )}")) |
980 | ||
981 | (put 'eqn 'math-evalto '("evalto " . " -> ")) | |
982 | ||
983 | (put 'eqn 'math-matrix-formatter | |
984 | (function | |
985 | (lambda (a) | |
986 | (append '(horiz "matrix { ") | |
987 | (math-compose-eqn-matrix | |
988 | (cdr (math-transpose a))) | |
989 | '("}"))))) | |
990 | ||
991 | (put 'eqn 'math-var-formatter | |
992 | (function | |
3ae7df79 JB |
993 | (lambda (a prec) |
994 | (let (v) | |
995 | (if (and math-compose-hash-args | |
996 | (let ((p calc-arg-values)) | |
997 | (setq v 1) | |
998 | (while (and p (not (equal (car p) a))) | |
999 | (setq p (and (eq math-compose-hash-args t) (cdr p)) | |
1000 | v (1+ v))) | |
1001 | p)) | |
1002 | (if (eq math-compose-hash-args 1) | |
1003 | "#" | |
1004 | (format "#%d" v)) | |
1005 | (if (string-match ".'\\'" (symbol-name (nth 2 a))) | |
1006 | (math-compose-expr | |
1007 | (list 'calcFunc-Prime | |
1008 | (list | |
1009 | 'var | |
1010 | (intern (substring (symbol-name (nth 1 a)) 0 -1)) | |
1011 | (intern (substring (symbol-name (nth 2 a)) 0 -1)))) | |
1012 | prec) | |
1013 | (symbol-name (nth 1 a)))))))) | |
7cf24610 JB |
1014 | |
1015 | (defconst math-eqn-special-funcs | |
1016 | '( calcFunc-log | |
1017 | calcFunc-ln calcFunc-exp | |
1018 | calcFunc-sin calcFunc-cos calcFunc-tan | |
1019 | calcFunc-sec calcFunc-csc calcFunc-cot | |
1020 | calcFunc-sinh calcFunc-cosh calcFunc-tanh | |
1021 | calcFunc-sech calcFunc-csch calcFunc-coth | |
1022 | calcFunc-arcsin calcFunc-arccos calcFunc-arctan | |
1023 | calcFunc-arcsinh calcFunc-arccosh calcFunc-arctanh)) | |
1024 | ||
1025 | (put 'eqn 'math-func-formatter | |
1026 | (function | |
1027 | (lambda (func a) | |
1028 | (let (left right) | |
1029 | (if (string-match "[^']'+\\'" func) | |
1030 | (let ((n (- (length func) (match-beginning 0) 1))) | |
1031 | (setq func (substring func 0 (- n))) | |
1032 | (while (>= (setq n (1- n)) 0) | |
1033 | (setq func (concat func " prime"))))) | |
1034 | (cond ((or (> (length a) 2) | |
1035 | (not (math-tex-expr-is-flat (nth 1 a)))) | |
1036 | (setq left "{left ( " | |
1037 | right " right )}")) | |
1038 | ||
1039 | ((and | |
1040 | (memq (car a) math-eqn-special-funcs) | |
1041 | (= (length a) 2) | |
1042 | (or (Math-realp (nth 1 a)) | |
1043 | (memq (car (nth 1 a)) '(var *)))) | |
1044 | (setq left "~{" right "}")) | |
1045 | (t | |
1046 | (setq left " ( " | |
1047 | right " )"))) | |
1048 | (list 'horiz func left | |
1049 | (math-compose-vector (cdr a) " , " 0) | |
1050 | right))))) | |
1051 | ||
1052 | (put 'eqn 'math-lang-read-symbol | |
1053 | '((?\" | |
1054 | (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)" | |
1055 | math-exp-str math-exp-pos) | |
1056 | (progn | |
1057 | (setq math-exp-str (copy-sequence math-exp-str)) | |
1058 | (aset math-exp-str (match-beginning 1) ?\{) | |
1059 | (if (< (match-end 1) (length math-exp-str)) | |
1060 | (aset math-exp-str (match-end 1) ?\})) | |
1061 | (math-read-token))))) | |
1062 | ||
1063 | (defconst math-eqn-ignore-words | |
1064 | '( ("roman") ("bold") ("italic") ("mark") ("lineup") ("evalto") | |
1065 | ("left" ("floor") ("ceil")) | |
1066 | ("right" ("floor") ("ceil")) | |
1067 | ("arc" ("sin") ("cos") ("tan") ("sinh") ("cosh") ("tanh")) | |
1068 | ("size" n) ("font" n) ("fwd" n) ("back" n) ("up" n) ("down" n) | |
1069 | ("above" punc ","))) | |
1070 | ||
1071 | (put 'eqn 'math-lang-adjust-words | |
1072 | (function | |
1073 | (lambda () | |
1074 | (let ((code (assoc math-expr-data math-eqn-ignore-words))) | |
1075 | (cond ((null code)) | |
1076 | ((null (cdr code)) | |
1077 | (math-read-token)) | |
1078 | ((consp (nth 1 code)) | |
1079 | (math-read-token) | |
1080 | (if (assoc math-expr-data (cdr code)) | |
1081 | (setq math-expr-data (format "%s %s" | |
1082 | (car code) math-expr-data)))) | |
1083 | ((eq (nth 1 code) 'punc) | |
1084 | (setq math-exp-token 'punc | |
1085 | math-expr-data (nth 2 code))) | |
1086 | (t | |
1087 | (math-read-token) | |
1088 | (math-read-token))))))) | |
1089 | ||
1090 | (put 'eqn 'math-lang-read | |
1091 | '((eq (string-match "->\\|<-\\|+-\\|\\\\dots\\|~\\|\\^" | |
1092 | math-exp-str math-exp-pos) | |
1093 | math-exp-pos) | |
1094 | (progn | |
1095 | (setq math-exp-token 'punc | |
1096 | math-expr-data (math-match-substring math-exp-str 0) | |
1097 | math-exp-pos (match-end 0)) | |
1098 | (and (eq (string-match "\\\\dots\\." math-exp-str math-exp-pos) | |
1099 | math-exp-pos) | |
1100 | (setq math-exp-pos (match-end 0))) | |
1101 | (if (memq (aref math-expr-data 0) '(?~ ?^)) | |
1102 | (math-read-token))))) | |
1103 | ||
1104 | ||
1105 | (defun math-compose-eqn-matrix (a) | |
1106 | (if a | |
1107 | (cons | |
1108 | (cond ((eq calc-matrix-just 'right) "rcol ") | |
1109 | ((eq calc-matrix-just 'center) "ccol ") | |
1110 | (t "lcol ")) | |
1111 | (cons | |
1112 | (list 'break math-compose-level) | |
1113 | (cons | |
1114 | "{ " | |
1115 | (cons | |
1116 | (let ((math-compose-level (1+ math-compose-level))) | |
1117 | (math-compose-vector (cdr (car a)) " above " 1000)) | |
1118 | (cons | |
1119 | " } " | |
1120 | (math-compose-eqn-matrix (cdr a))))))) | |
1121 | nil)) | |
1122 | ||
136211a9 EZ |
1123 | (defun math-parse-eqn-matrix (f sym) |
1124 | (let ((vec nil)) | |
54961aa0 | 1125 | (while (assoc math-expr-data '(("ccol") ("lcol") ("rcol"))) |
136211a9 | 1126 | (math-read-token) |
54961aa0 | 1127 | (or (equal math-expr-data calc-function-open) |
136211a9 EZ |
1128 | (throw 'syntax "Expected `{'")) |
1129 | (math-read-token) | |
1130 | (setq vec (cons (cons 'vec (math-read-expr-list)) vec)) | |
54961aa0 | 1131 | (or (equal math-expr-data calc-function-close) |
136211a9 EZ |
1132 | (throw 'syntax "Expected `}'")) |
1133 | (math-read-token)) | |
54961aa0 | 1134 | (or (equal math-expr-data calc-function-close) |
136211a9 EZ |
1135 | (throw 'syntax "Expected `}'")) |
1136 | (math-read-token) | |
bf77c646 | 1137 | (math-transpose (cons 'vec (nreverse vec))))) |
136211a9 EZ |
1138 | |
1139 | (defun math-parse-eqn-prime (x sym) | |
1140 | (if (eq (car-safe x) 'var) | |
54961aa0 | 1141 | (if (equal math-expr-data calc-function-open) |
136211a9 EZ |
1142 | (progn |
1143 | (math-read-token) | |
54961aa0 | 1144 | (let ((args (if (or (equal math-expr-data calc-function-close) |
679e2630 | 1145 | (eq math-exp-token 'end)) |
136211a9 EZ |
1146 | nil |
1147 | (math-read-expr-list)))) | |
54961aa0 | 1148 | (if (not (or (equal math-expr-data calc-function-close) |
679e2630 | 1149 | (eq math-exp-token 'end))) |
136211a9 EZ |
1150 | (throw 'syntax "Expected `)'")) |
1151 | (math-read-token) | |
1152 | (cons (intern (format "calcFunc-%s'" (nth 1 x))) args))) | |
1153 | (list 'var | |
1154 | (intern (concat (symbol-name (nth 1 x)) "'")) | |
1155 | (intern (concat (symbol-name (nth 2 x)) "'")))) | |
bf77c646 | 1156 | (list 'calcFunc-Prime x))) |
136211a9 | 1157 | |
7cf24610 JB |
1158 | (defun math-compose-eqn-intv (a) |
1159 | (list 'horiz | |
1160 | (if (memq (nth 1 a) '(0 1)) "(" "[") | |
1161 | (math-compose-expr (nth 2 a) 0) | |
1162 | " ... " | |
1163 | (math-compose-expr (nth 3 a) 0) | |
1164 | (if (memq (nth 1 a) '(0 2)) ")" "]"))) | |
1165 | ||
136211a9 | 1166 | |
37275755 JB |
1167 | ;;; Yacas |
1168 | ||
1169 | (defun calc-yacas-language () | |
1170 | "Change the Calc language to be Yacas-like." | |
1171 | (interactive) | |
1172 | (calc-wrapper | |
1173 | (calc-set-language 'yacas) | |
1174 | (message "`Yacas' language mode"))) | |
1175 | ||
1176 | (put 'yacas 'math-vector-brackets "{}") | |
1177 | ||
1178 | (put 'yacas 'math-complex-format 'I) | |
1179 | ||
1180 | (add-to-list 'calc-lang-brackets-are-subscripts 'yacas) | |
1181 | ||
1182 | (put 'yacas 'math-variable-table | |
1183 | '(( Infinity . var-inf) | |
1184 | ( Infinity . var-uinf) | |
1185 | ( Undefined . var-nan) | |
1186 | ( Pi . var-pi) | |
1187 | ( E . var-e) ;; Not really in Yacas | |
1188 | ( GoldenRatio . var-phi) | |
1189 | ( Gamma . var-gamma))) | |
1190 | ||
1191 | (put 'yacas 'math-parse-table | |
1192 | '((("Deriv(" 0 ")" 0) | |
1193 | calcFunc-deriv (var ArgB var-ArgB) (var ArgA var-ArgA)) | |
1194 | (("D(" 0 ")" 0) | |
1195 | calcFunc-deriv (var ArgB var-ArgB) (var ArgA var-ArgA)) | |
1196 | (("Integrate(" 0 ")" 0) | |
1197 | calcFunc-integ (var ArgB var-ArgB)(var ArgA var-ArgA)) | |
1198 | (("Integrate(" 0 "," 0 "," 0 ")" 0) | |
1199 | calcFunc-integ (var ArgD var-ArgD) (var ArgA var-ArgA) | |
1200 | (var ArgB var-ArgB) (var ArgC var-ArgC)) | |
1201 | (("Subst(" 0 "," 0 ")" 0) | |
1202 | calcFunc-subst (var ArgC var-ArgC) (var ArgA var-ArgA) | |
1203 | (var ArgB var-ArgB)) | |
1204 | (("Taylor(" 0 "," 0 "," 0 ")" 0) | |
1205 | calcFunc-taylor (var ArgD var-ArgD) | |
1206 | (calcFunc-eq (var ArgA var-ArgA) (var ArgB var-ArgB)) | |
1207 | (var ArgC var-ArgC)))) | |
1208 | ||
1209 | (put 'yacas 'math-oper-table | |
1210 | '(("+" + 30 30) | |
1211 | ("-" - 30 60) | |
1212 | ("*" * 60 60) | |
1213 | ("/" / 70 70) | |
1214 | ("u-" neg -1 60) | |
1215 | ("^" ^ 80 80) | |
1216 | ("u+" ident -1 30) | |
1217 | ("<<" calcFunc-lsh 80 80) | |
1218 | (">>" calcFunc-rsh 80 80) | |
1219 | ("!" calcFunc-fact 80 -1) | |
1220 | ("!!" calcFunc-dfact 80 -1) | |
1221 | ("X" calcFunc-cross 70 70) | |
1222 | ("=" calcFunc-eq 10 10) | |
1223 | ("!=" calcFunc-neq 10 10) | |
1224 | ("<" calcFunc-lt 10 10) | |
1225 | (">" calcFunc-gt 10 10) | |
1226 | ("<=" calcFunc-leq 10 10) | |
1227 | (">=" calcFunc-geq 10 10) | |
1228 | ("And" calcFunc-land 5 5) | |
1229 | ("Or" calcFunc-or 4 4) | |
1230 | ("Not" calcFunc-lnot -1 3) | |
1231 | (":=" calcFunc-assign 1 1))) | |
1232 | ||
1233 | (put 'yacas 'math-function-table | |
1234 | '(( Div . calcFunc-idiv) | |
1235 | ( Mod . calcFunc-mod) | |
1236 | ( Abs . calcFunc-abs) | |
1237 | ( Sign . calcFunc-sign) | |
1238 | ( Sqrt . calcFunc-sqrt) | |
1239 | ( Max . calcFunc-max) | |
1240 | ( Min . calcFunc-min) | |
1241 | ( Floor . calcFunc-floor) | |
1242 | ( Ceil . calcFunc-ceil) | |
1243 | ( Round . calcFunc-round) | |
1244 | ( Conjugate . calcFunc-conj) | |
1245 | ( Arg . calcFunc-arg) | |
1246 | ( Re . calcFunc-re) | |
1247 | ( Im . calcFunc-im) | |
1248 | ( Rationalize . calcFunc-pfrac) | |
1249 | ( Sin . calcFunc-sin) | |
1250 | ( Cos . calcFunc-cos) | |
1251 | ( Tan . calcFunc-tan) | |
1252 | ( Sec . calcFunc-sec) | |
1253 | ( Csc . calcFunc-csc) | |
1254 | ( Cot . calcFunc-cot) | |
1255 | ( ArcSin . calcFunc-arcsin) | |
1256 | ( ArcCos . calcFunc-arccos) | |
1257 | ( ArcTan . calcFunc-arctan) | |
1258 | ( Sinh . calcFunc-sinh) | |
1259 | ( Cosh . calcFunc-cosh) | |
1260 | ( Tanh . calcFunc-tanh) | |
1261 | ( Sech . calcFunc-sech) | |
1262 | ( Csch . calcFunc-csch) | |
1263 | ( Coth . calcFunc-coth) | |
1264 | ( ArcSinh . calcFunc-arcsinh) | |
1265 | ( ArcCosh . calcFunc-arccosh) | |
1266 | ( ArcTanh . calcFunc-arctanh) | |
1267 | ( Ln . calcFunc-ln) | |
1268 | ( Exp . calcFunc-exp) | |
1269 | ( Gamma . calcFunc-gamma) | |
1270 | ( Gcd . calcFunc-gcd) | |
1271 | ( Lcm . calcFunc-lcm) | |
1272 | ( Bin . calcFunc-choose) | |
1273 | ( Bernoulli . calcFunc-bern) | |
1274 | ( Euler . calcFunc-euler) | |
1275 | ( StirlingNumber1 . calcFunc-stir1) | |
1276 | ( StirlingNumber2 . calcFunc-stir2) | |
1277 | ( IsPrime . calcFunc-prime) | |
1278 | ( Factors . calcFunc-prfac) | |
1279 | ( NextPrime . calcFunc-nextprime) | |
1280 | ( Moebius . calcFunc-moebius) | |
1281 | ( Random . calcFunc-random) | |
1282 | ( Concat . calcFunc-vconcat) | |
1283 | ( Head . calcFunc-head) | |
1284 | ( Tail . calcFunc-tail) | |
1285 | ( Length . calcFunc-vlen) | |
1286 | ( Reverse . calcFunc-rev) | |
1287 | ( CrossProduct . calcFunc-cross) | |
1288 | ( Dot . calcFunc-mul) | |
1289 | ( DiagonalMatrix . calcFunc-diag) | |
1290 | ( Transpose . calcFunc-trn) | |
1291 | ( Inverse . calcFunc-inv) | |
1292 | ( Determinant . calcFunc-det) | |
1293 | ( Trace . calcFunc-tr) | |
1294 | ( RemoveDuplicates . calcFunc-rdup) | |
1295 | ( Union . calcFunc-vunion) | |
1296 | ( Intersection . calcFunc-vint) | |
1297 | ( Difference . calcFunc-vdiff) | |
1298 | ( Apply . calcFunc-apply) | |
1299 | ( Map . calcFunc-map) | |
1300 | ( Simplify . calcFunc-simplify) | |
1301 | ( ExpandBrackets . calcFunc-expand) | |
1302 | ( Solve . calcFunc-solve) | |
1303 | ( Degree . calcFunc-pdeg) | |
1304 | ( If . calcFunc-if) | |
1305 | ( Contains . (math-lang-switch-args calcFunc-in)) | |
1306 | ( Sum . (math-yacas-parse-Sum calcFunc-sum)) | |
1307 | ( Factorize . (math-yacas-parse-Sum calcFunc-prod)))) | |
1308 | ||
1309 | (put 'yacas 'math-special-function-table | |
1310 | '(( calcFunc-sum . (math-yacas-compose-sum "Sum")) | |
1311 | ( calcFunc-prod . (math-yacas-compose-sum "Factorize")) | |
1312 | ( calcFunc-deriv . (math-yacas-compose-deriv "Deriv")) | |
1313 | ( calcFunc-integ . (math-yacas-compose-deriv "Integrate")) | |
1314 | ( calcFunc-taylor . math-yacas-compose-taylor) | |
1315 | ( calcFunc-in . (math-lang-compose-switch-args "Contains")))) | |
1316 | ||
1317 | (put 'yacas 'math-compose-subscr | |
1318 | (function | |
1319 | (lambda (a) | |
1320 | (let ((args (cdr (cdr a)))) | |
1321 | (list 'horiz | |
1322 | (math-compose-expr (nth 1 a) 1000) | |
1323 | "[" | |
1324 | (math-compose-vector args ", " 0) | |
1325 | "]"))))) | |
1326 | ||
1327 | (defun math-yacas-parse-Sum (f val) | |
1328 | "Read in the arguments to \"Sum\" in Calc's Yacas mode." | |
1329 | (let ((args (math-read-expr-list))) | |
1330 | (math-read-token) | |
1331 | (list (nth 2 f) | |
1332 | (nth 3 args) | |
1333 | (nth 0 args) | |
1334 | (nth 1 args) | |
1335 | (nth 2 args)))) | |
1336 | ||
1337 | (defun math-yacas-compose-sum (a fn) | |
1338 | "Compose the \"Sum\" function in Calc's Yacas mode." | |
1339 | (list 'horiz | |
1340 | (nth 1 fn) | |
1341 | "(" | |
1342 | (math-compose-expr (nth 2 a) -1) | |
1343 | "," | |
1344 | (math-compose-expr (nth 3 a) -1) | |
1345 | "," | |
1346 | (math-compose-expr (nth 4 a) -1) | |
1347 | "," | |
1348 | (math-compose-expr (nth 1 a) -1) | |
1349 | ")")) | |
1350 | ||
1351 | (defun math-yacas-compose-deriv (a fn) | |
1352 | "Compose the \"Deriv\" function in Calc's Yacas mode." | |
1353 | (list 'horiz | |
1354 | (nth 1 fn) | |
1355 | "(" | |
1356 | (math-compose-expr (nth 2 a) -1) | |
1357 | (if (not (nth 3 a)) | |
1358 | ")" | |
1359 | (concat | |
1360 | "," | |
1361 | (math-compose-expr (nth 3 a) -1) | |
1362 | "," | |
1363 | (math-compose-expr (nth 4 a) -1) | |
1364 | ")")) | |
1365 | " " | |
1366 | (math-compose-expr (nth 1 a) -1))) | |
1367 | ||
1368 | (defun math-yacas-compose-taylor (a) | |
1369 | "Compose the \"Taylor\" function in Calc's Yacas mode." | |
1370 | (list 'horiz | |
1371 | "Taylor(" | |
1372 | (if (eq (car-safe (nth 2 a)) 'calcFunc-eq) | |
1373 | (concat (math-compose-expr (nth 1 (nth 2 a)) -1) | |
1374 | "," | |
1375 | (math-compose-expr (nth 2 (nth 2 a)) -1)) | |
1376 | (concat (math-compose-expr (nth 2 a) -1) ",0")) | |
1377 | "," | |
1378 | (math-compose-expr (nth 3 a) -1) | |
1379 | ") " | |
1380 | (math-compose-expr (nth 1 a) -1))) | |
1381 | ||
1382 | ||
1383 | ;;; Maxima | |
1384 | ||
1385 | (defun calc-maxima-language () | |
1386 | "Change the Calc language to be Maxima-like." | |
1387 | (interactive) | |
1388 | (calc-wrapper | |
1389 | (calc-set-language 'maxima) | |
1390 | (message "`Maxima' language mode"))) | |
1391 | ||
1392 | (put 'maxima 'math-oper-table | |
1393 | '(("+" + 100 100) | |
1394 | ("-" - 100 134) | |
1395 | ("*" * 120 120) | |
1396 | ("." * 130 129) | |
1397 | ("/" / 120 120) | |
1398 | ("u-" neg -1 180) | |
1399 | ("u+" ident -1 180) | |
1400 | ("^" ^ 140 139) | |
1401 | ("**" ^ 140 139) | |
1402 | ("!" calcFunc-fact 160 -1) | |
1403 | ("!!" calcFunc-dfact 160 -1) | |
1404 | ("=" calcFunc-eq 80 80) | |
1405 | ("#" calcFunc-neq 80 80) | |
1406 | ("<" calcFunc-lt 80 80) | |
1407 | (">" calcFunc-gt 80 80) | |
1408 | ("<=" calcFunc-leq 80 80) | |
1409 | (">=" calcFunc-geq 80 80) | |
1410 | ("and" calcFunc-land 65 65) | |
1411 | ("or" calcFunc-or 60 60) | |
1412 | ("not" calcFunc-lnot -1 70) | |
1413 | (":" calcFunc-assign 180 20))) | |
1414 | ||
1415 | ||
1416 | (put 'maxima 'math-function-table | |
1417 | '(( matrix . vec) | |
1418 | ( abs . calcFunc-abs) | |
1419 | ( cabs . calcFunc-abs) | |
1420 | ( signum . calcFunc-sign) | |
1421 | ( floor . calcFunc-floor) | |
1422 | ( entier . calcFunc-floor) | |
1423 | ( fix . calcFunc-floor) | |
1424 | ( conjugate . calcFunc-conj ) | |
1425 | ( carg . calcFunc-arg) | |
1426 | ( realpart . calcFunc-re) | |
1427 | ( imagpart . calcFunc-im) | |
1428 | ( rationalize . calcFunc-pfrac) | |
1429 | ( asin . calcFunc-arcsin) | |
1430 | ( acos . calcFunc-arccos) | |
1431 | ( atan . calcFunc-arctan) | |
1432 | ( atan2 . calcFunc-arctan2) | |
1433 | ( asinh . calcFunc-arcsinh) | |
1434 | ( acosh . calcFunc-arccosh) | |
1435 | ( atanh . calcFunc-arctanh) | |
1436 | ( log . calcFunc-ln) | |
1437 | ( plog . calcFunc-ln) | |
1438 | ( bessel_j . calcFunc-besJ) | |
1439 | ( bessel_y . calcFunc-besY) | |
1440 | ( factorial . calcFunc-fact) | |
1441 | ( binomial . calcFunc-choose) | |
1442 | ( primep . calcFunc-prime) | |
1443 | ( next_prime . calcFunc-nextprime) | |
1444 | ( prev_prime . calcFunc-prevprime) | |
1445 | ( append . calcFunc-vconcat) | |
1446 | ( rest . calcFunc-tail) | |
1447 | ( reverse . calcFunc-rev) | |
1448 | ( innerproduct . calcFunc-mul) | |
1449 | ( inprod . calcFunc-mul) | |
1450 | ( row . calcFunc-mrow) | |
1451 | ( columnvector . calcFunc-mcol) | |
1452 | ( covect . calcFunc-mcol) | |
1453 | ( transpose . calcFunc-trn) | |
1454 | ( invert . calcFunc-inv) | |
1455 | ( determinant . calcFunc-det) | |
1456 | ( mattrace . calcFunc-tr) | |
1457 | ( member . calcFunc-in) | |
1458 | ( lmax . calcFunc-vmax) | |
1459 | ( lmin . calcFunc-vmin) | |
1460 | ( distrib . calcFunc-expand) | |
1461 | ( partfrac . calcFunc-apart) | |
1462 | ( rat . calcFunc-nrat) | |
1463 | ( product . calcFunc-prod) | |
1464 | ( diff . calcFunc-deriv) | |
1465 | ( integrate . calcFunc-integ) | |
1466 | ( quotient . calcFunc-pdiv) | |
1467 | ( remainder . calcFunc-prem) | |
1468 | ( divide . calcFunc-pdivrem) | |
1469 | ( equal . calcFunc-eq) | |
1470 | ( notequal . calcFunc-neq) | |
1471 | ( rhs . calcFunc-rmeq) | |
1472 | ( subst . (math-maxima-parse-subst)) | |
1473 | ( substitute . (math-maxima-parse-subst)) | |
1474 | ( taylor . (math-maxima-parse-taylor)))) | |
1475 | ||
1476 | (defun math-maxima-parse-subst (f val) | |
1477 | "Read in the arguments to \"subst\" in Calc's Maxima mode." | |
1478 | (let ((args (math-read-expr-list))) | |
1479 | (math-read-token) | |
1480 | (list 'calcFunc-subst | |
1481 | (nth 1 args) | |
1482 | (nth 2 args) | |
1483 | (nth 0 args)))) | |
1484 | ||
1485 | (defun math-maxima-parse-taylor (f val) | |
1486 | "Read in the arguments to \"taylor\" in Calc's Maxima mode." | |
1487 | (let ((args (math-read-expr-list))) | |
1488 | (math-read-token) | |
1489 | (list 'calcFunc-taylor | |
1490 | (nth 0 args) | |
1491 | (list 'calcFunc-eq | |
1492 | (nth 1 args) | |
1493 | (nth 2 args)) | |
1494 | (nth 3 args)))) | |
1495 | ||
1496 | (put 'maxima 'math-parse-table | |
1497 | '((("if" 0 "then" 0 "else" 0) | |
1498 | calcFunc-if | |
1499 | (var ArgA var-ArgA) | |
1500 | (var ArgB var-ArgB) | |
1501 | (var ArgC var-ArgC)))) | |
1502 | ||
1503 | (put 'maxima 'math-special-function-table | |
1504 | '(( calcFunc-taylor . math-maxima-compose-taylor) | |
1505 | ( calcFunc-subst . math-maxima-compose-subst) | |
1506 | ( calcFunc-if . math-maxima-compose-if))) | |
1507 | ||
1508 | (defun math-maxima-compose-taylor (a) | |
1509 | "Compose the \"taylor\" function in Calc's Maxima mode." | |
1510 | (list 'horiz | |
1511 | "taylor(" | |
1512 | (math-compose-expr (nth 1 a) -1) | |
1513 | "," | |
1514 | (if (eq (car-safe (nth 2 a)) 'calcFunc-eq) | |
1515 | (concat (math-compose-expr (nth 1 (nth 2 a)) -1) | |
1516 | "," | |
1517 | (math-compose-expr (nth 2 (nth 2 a)) -1)) | |
1518 | (concat (math-compose-expr (nth 2 a) -1) ",0")) | |
1519 | "," | |
1520 | (math-compose-expr (nth 3 a) -1) | |
1521 | ")")) | |
1522 | ||
1523 | (defun math-maxima-compose-subst (a) | |
1524 | "Compose the \"subst\" function in Calc's Maxima mode." | |
1525 | (list 'horiz | |
1526 | "substitute(" | |
1527 | (math-compose-expr (nth 2 a) -1) | |
1528 | "," | |
1529 | (math-compose-expr (nth 3 a) -1) | |
1530 | "," | |
1531 | (math-compose-expr (nth 1 a) -1) | |
1532 | ")")) | |
1533 | ||
1534 | (defun math-maxima-compose-if (a) | |
1535 | "Compose the \"if\" function in Calc's Maxima mode." | |
1536 | (list 'horiz | |
1537 | "if " | |
1538 | (math-compose-expr (nth 1 a) -1) | |
1539 | " then " | |
1540 | (math-compose-expr (nth 2 a) -1) | |
1541 | " else " | |
1542 | (math-compose-expr (nth 3 a) -1))) | |
1543 | ||
1544 | (put 'maxima 'math-variable-table | |
1545 | '(( infinity . var-uinf) | |
1546 | ( %pi . var-pi) | |
1547 | ( %e . var-e) | |
1548 | ( %i . var-i) | |
1549 | ( %phi . var-phi) | |
1550 | ( %gamma . var-gamma))) | |
1551 | ||
1552 | (put 'maxima 'math-complex-format '%i) | |
1553 | ||
1554 | (add-to-list 'calc-lang-allow-underscores 'maxima) | |
1555 | ||
1556 | (add-to-list 'calc-lang-allow-percentsigns 'maxima) | |
1557 | ||
1558 | (add-to-list 'calc-lang-brackets-are-subscripts 'maxima) | |
1559 | ||
1560 | (put 'maxima 'math-compose-subscr | |
1561 | (function | |
1562 | (lambda (a) | |
1563 | (let ((args (cdr (cdr a)))) | |
1564 | (list 'horiz | |
1565 | (math-compose-expr (nth 1 a) 1000) | |
1566 | "[" | |
1567 | (math-compose-vector args ", " 0) | |
1568 | "]"))))) | |
1569 | ||
1570 | (put 'maxima 'math-matrix-formatter | |
1571 | (function | |
1572 | (lambda (a) | |
1573 | (list 'horiz | |
1574 | "matrix(" | |
1575 | (math-compose-vector (cdr a) | |
1576 | (concat math-comp-comma " ") | |
1577 | math-comp-vector-prec) | |
1578 | ")")))) | |
1579 | ||
1580 | ||
1581 | ;;; Giac | |
1582 | ||
1583 | (defun calc-giac-language () | |
1584 | "Change the Calc language to be Giac-like." | |
1585 | (interactive) | |
1586 | (calc-wrapper | |
1587 | (calc-set-language 'giac) | |
1588 | (message "`Giac' language mode"))) | |
1589 | ||
1590 | (put 'giac 'math-oper-table | |
1591 | '( ( "[" (math-read-giac-subscr) 250 -1 ) | |
1592 | ( "+" + 180 181 ) | |
1593 | ( "-" - 180 181 ) | |
1594 | ( "/" / 191 192 ) | |
1595 | ( "*" * 191 192 ) | |
1596 | ( "^" ^ 201 200 ) | |
1597 | ( "u+" ident -1 197 ) | |
1598 | ( "u-" neg -1 197 ) | |
1599 | ( "!" calcFunc-fact 210 -1 ) | |
1600 | ( ".." (math-read-maple-dots) 165 165 ) | |
1601 | ( "\\dots" (math-read-maple-dots) 165 165 ) | |
1602 | ( "intersect" calcFunc-vint 191 192 ) | |
1603 | ( "union" calcFunc-vunion 180 181 ) | |
1604 | ( "minus" calcFunc-vdiff 180 181 ) | |
1605 | ( "<" calcFunc-lt 160 160 ) | |
1606 | ( ">" calcFunc-gt 160 160 ) | |
1607 | ( "<=" calcFunc-leq 160 160 ) | |
1608 | ( ">=" calcFunc-geq 160 160 ) | |
1609 | ( "=" calcFunc-eq 160 160 ) | |
1610 | ( "==" calcFunc-eq 160 160 ) | |
1611 | ( "!=" calcFunc-neq 160 160 ) | |
1612 | ( "and" calcFunc-land 110 111 ) | |
1613 | ( "or" calcFunc-lor 100 101 ) | |
1614 | ( "&&" calcFunc-land 110 111 ) | |
1615 | ( "||" calcFunc-lor 100 101 ) | |
1616 | ( "not" calcFunc-lnot -1 121 ) | |
1617 | ( ":=" calcFunc-assign 51 50 ))) | |
1618 | ||
1619 | ||
1620 | (put 'giac 'math-function-table | |
1621 | '(( rdiv . calcFunc-div) | |
1622 | ( iquo . calcFunc-idiv) | |
1623 | ( irem . calcFunc-mod) | |
1624 | ( remain . calcFunc-mod) | |
1625 | ( floor . calcFunc-floor) | |
1626 | ( iPart . calcFunc-floor) | |
1627 | ( ceil . calcFunc-ceil) | |
1628 | ( ceiling . calcFunc-ceil) | |
1629 | ( re . calcFunc-re) | |
1630 | ( real . calcFunc-re) | |
1631 | ( im . calcFunc-im) | |
1632 | ( imag . calcFunc-im) | |
1633 | ( float2rational . calcFunc-pfrac) | |
1634 | ( exact . calcFunc-pfrac) | |
1635 | ( evalf . calcFunc-pfloat) | |
1636 | ( bitand . calcFunc-and) | |
1637 | ( bitor . calcFunc-or) | |
1638 | ( bitxor . calcFunc-xor) | |
1639 | ( asin . calcFunc-arcsin) | |
1640 | ( acos . calcFunc-arccos) | |
1641 | ( atan . calcFunc-arctan) | |
1642 | ( asinh . calcFunc-arcsinh) | |
1643 | ( acosh . calcFunc-arccosh) | |
1644 | ( atanh . calcFunc-arctanh) | |
1645 | ( log . calcFunc-ln) | |
1646 | ( logb . calcFunc-log) | |
1647 | ( factorial . calcFunc-fact) | |
1648 | ( comb . calcFunc-choose) | |
1649 | ( binomial . calcFunc-choose) | |
1650 | ( nCr . calcFunc-choose) | |
1651 | ( perm . calcFunc-perm) | |
1652 | ( nPr . calcFunc-perm) | |
1653 | ( bernoulli . calcFunc-bern) | |
1654 | ( is_prime . calcFunc-prime) | |
1655 | ( isprime . calcFunc-prime) | |
1656 | ( isPrime . calcFunc-prime) | |
1657 | ( ifactors . calcFunc-prfac) | |
1658 | ( euler . calcFunc-totient) | |
1659 | ( phi . calcFunc-totient) | |
1660 | ( rand . calcFunc-random) | |
1661 | ( concat . calcFunc-vconcat) | |
1662 | ( augment . calcFunc-vconcat) | |
1663 | ( mid . calcFunc-subvec) | |
1664 | ( length . calcFunc-length) | |
1665 | ( size . calcFunc-length) | |
1666 | ( nops . calcFunc-length) | |
1667 | ( SortA . calcFunc-sort) | |
1668 | ( SortB . calcFunc-rsort) | |
1669 | ( revlist . calcFunc-rev) | |
1670 | ( cross . calcFunc-cross) | |
1671 | ( crossP . calcFunc-cross) | |
1672 | ( crossproduct . calcFunc-cross) | |
1673 | ( mul . calcFunc-mul) | |
1674 | ( dot . calcFunc-mul) | |
1675 | ( dotprod . calcFunc-mul) | |
1676 | ( dotP . calcFunc-mul) | |
1677 | ( scalar_product . calcFunc-mul) | |
1678 | ( scalar_Product . calcFunc-mul) | |
1679 | ( row . calcFunc-mrow) | |
1680 | ( col . calcFunc-mcol) | |
1681 | ( dim . calcFunc-mdims) | |
1682 | ( tran . calcFunc-trn) | |
1683 | ( transpose . calcFunc-trn) | |
1684 | ( lu . calcFunc-lud) | |
1685 | ( trace . calcFunc-tr) | |
1686 | ( member . calcFunc-in) | |
1687 | ( sum . calcFunc-vsum) | |
1688 | ( add . calcFunc-vsum) | |
1689 | ( product . calcFunc-vprod) | |
1690 | ( mean . calcFunc-vmean) | |
1691 | ( median . calcFunc-vmedian) | |
1692 | ( stddev . calcFunc-vsdev) | |
1693 | ( stddevp . calcFunc-vpsdev) | |
1694 | ( variance . calcFunc-vpvar) | |
1695 | ( map . calcFunc-map) | |
1696 | ( apply . calcFunc-map) | |
1697 | ( of . calcFunc-map) | |
1698 | ( zip . calcFunc-map) | |
1699 | ( expand . calcFunc-expand) | |
1700 | ( fdistrib . calcFunc-expand) | |
1701 | ( partfrac . calcFunc-apart) | |
1702 | ( ratnormal . calcFunc-nrat) | |
1703 | ( diff . calcFunc-deriv) | |
1704 | ( derive . calcFunc-deriv) | |
1705 | ( integrate . calcFunc-integ) | |
1706 | ( int . calcFunc-integ) | |
1707 | ( Int . calcFunc-integ) | |
1708 | ( romberg . calcFunc-ninteg) | |
1709 | ( nInt . calcFunc-ninteg) | |
1710 | ( lcoeff . calcFunc-plead) | |
1711 | ( content . calcFunc-pcont) | |
1712 | ( primpart . calcFunc-pprim) | |
1713 | ( quo . calcFunc-pdiv) | |
1714 | ( rem . calcFunc-prem) | |
1715 | ( quorem . calcFunc-pdivrem) | |
1716 | ( divide . calcFunc-pdivrem) | |
1717 | ( equal . calcFunc-eq) | |
1718 | ( ifte . calcFunc-if) | |
1719 | ( not . calcFunc-lnot) | |
1720 | ( rhs . calcFunc-rmeq) | |
1721 | ( right . calcFunc-rmeq) | |
1722 | ( prepend . (math-lang-switch-args calcFunc-cons)) | |
1723 | ( contains . (math-lang-switch-args calcFunc-in)) | |
1724 | ( has . (math-lang-switch-args calcFunc-refers)))) | |
1725 | ||
1726 | (defun math-lang-switch-args (f val) | |
1727 | "Read the arguments to a Calc function in reverse order. | |
1728 | This is used for various language modes which have functions in reverse | |
1729 | order to Calc's." | |
1730 | (let ((args (math-read-expr-list))) | |
1731 | (math-read-token) | |
1732 | (list (nth 2 f) | |
1733 | (nth 1 args) | |
1734 | (nth 0 args)))) | |
1735 | ||
1736 | (put 'giac 'math-parse-table | |
1737 | '((("set" 0) | |
1738 | calcFunc-rdup | |
1739 | (var ArgA var-ArgA)))) | |
1740 | ||
1741 | (put 'giac 'math-special-function-table | |
1742 | '((calcFunc-cons . (math-lang-compose-switch-args "prepend")) | |
1743 | (calcFunc-in . (math-lang-compose-switch-args "contains")) | |
1744 | (calcFunc-refers . (math-lang-compose-switch-args "has")) | |
1745 | (intv . math-compose-maple-intv))) | |
1746 | ||
1747 | (defun math-lang-compose-switch-args (a fn) | |
1748 | "Compose the arguments to a Calc function in reverse order. | |
1749 | This is used for various language modes which have functions in reverse | |
1750 | order to Calc's." | |
1751 | (list 'horiz (nth 1 fn) | |
1752 | "(" | |
1753 | (math-compose-expr (nth 2 a) 0) | |
1754 | "," | |
1755 | (math-compose-expr (nth 1 a) 0) | |
1756 | ")")) | |
1757 | ||
1758 | (put 'giac 'math-variable-table | |
1759 | '(( infinity . var-inf) | |
1760 | ( infinity . var-uinf))) | |
1761 | ||
591b5f7a JB |
1762 | (put 'giac 'math-complex-format 'i) |
1763 | ||
37275755 JB |
1764 | (add-to-list 'calc-lang-allow-underscores 'giac) |
1765 | ||
1766 | (put 'giac 'math-compose-subscr | |
1767 | (function | |
1768 | (lambda (a) | |
1769 | (let ((args (cdr (cdr a)))) | |
1770 | (list 'horiz | |
1771 | (math-compose-expr (nth 1 a) 1000) | |
1772 | "[" | |
1773 | (math-compose-expr | |
1774 | (calc-normalize (list '- (nth 2 a) 1)) 0) | |
1775 | "]"))))) | |
1776 | ||
1777 | (defun math-read-giac-subscr (x op) | |
1778 | (let ((idx (math-read-expr-level 0))) | |
1779 | (or (equal math-expr-data "]") | |
1780 | (throw 'syntax "Expected ']'")) | |
1781 | (math-read-token) | |
1782 | (list 'calcFunc-subscr x (calc-normalize (list '+ idx 1))))) | |
1783 | ||
1784 | (add-to-list 'calc-lang-c-type-hex 'giac) | |
1785 | ||
1786 | ||
136211a9 EZ |
1787 | (defun calc-mathematica-language () |
1788 | (interactive) | |
1789 | (calc-wrapper | |
1790 | (calc-set-language 'math) | |
3132f345 | 1791 | (message "Mathematica language mode"))) |
136211a9 EZ |
1792 | |
1793 | (put 'math 'math-oper-table | |
1794 | '( ( "[[" (math-read-math-subscr) 250 -1 ) | |
1795 | ( "!" calcFunc-fact 210 -1 ) | |
1796 | ( "!!" calcFunc-dfact 210 -1 ) | |
1797 | ( "^" ^ 201 200 ) | |
1798 | ( "u+" ident -1 197 ) | |
1799 | ( "u-" neg -1 197 ) | |
1800 | ( "/" / 195 196 ) | |
1801 | ( "*" * 190 191 ) | |
1802 | ( "2x" * 190 191 ) | |
1803 | ( "+" + 180 181 ) | |
1804 | ( "-" - 180 181 ) | |
1805 | ( "<" calcFunc-lt 160 161 ) | |
1806 | ( ">" calcFunc-gt 160 161 ) | |
1807 | ( "<=" calcFunc-leq 160 161 ) | |
1808 | ( ">=" calcFunc-geq 160 161 ) | |
1809 | ( "==" calcFunc-eq 150 151 ) | |
1810 | ( "!=" calcFunc-neq 150 151 ) | |
1811 | ( "u!" calcFunc-lnot -1 121 ) | |
1812 | ( "&&" calcFunc-land 110 111 ) | |
1813 | ( "||" calcFunc-lor 100 101 ) | |
1814 | ( "!!!" calcFunc-pnot -1 85 ) | |
1815 | ( "&&&" calcFunc-pand 80 81 ) | |
1816 | ( "|||" calcFunc-por 75 76 ) | |
1817 | ( ":=" calcFunc-assign 51 50 ) | |
1818 | ( "=" calcFunc-assign 51 50 ) | |
1819 | ( "->" calcFunc-assign 51 50 ) | |
1820 | ( ":>" calcFunc-assign 51 50 ) | |
1821 | ( "::" calcFunc-condition 45 46 ) | |
1822 | )) | |
1823 | ||
1824 | (put 'math 'math-function-table | |
1825 | '( ( Abs . calcFunc-abs ) | |
1826 | ( ArcCos . calcFunc-arccos ) | |
1827 | ( ArcCosh . calcFunc-arccosh ) | |
1828 | ( ArcSin . calcFunc-arcsin ) | |
1829 | ( ArcSinh . calcFunc-arcsinh ) | |
1830 | ( ArcTan . calcFunc-arctan ) | |
1831 | ( ArcTanh . calcFunc-arctanh ) | |
1832 | ( Arg . calcFunc-arg ) | |
1833 | ( Binomial . calcFunc-choose ) | |
1834 | ( Ceiling . calcFunc-ceil ) | |
1835 | ( Conjugate . calcFunc-conj ) | |
1836 | ( Cos . calcFunc-cos ) | |
1837 | ( Cosh . calcFunc-cosh ) | |
671dfbd8 JB |
1838 | ( Cot . calcFunc-cot ) |
1839 | ( Coth . calcFunc-coth ) | |
1840 | ( Csc . calcFunc-csc ) | |
1841 | ( Csch . calcFunc-csch ) | |
136211a9 EZ |
1842 | ( D . calcFunc-deriv ) |
1843 | ( Dt . calcFunc-tderiv ) | |
1844 | ( Det . calcFunc-det ) | |
1845 | ( Exp . calcFunc-exp ) | |
1846 | ( EulerPhi . calcFunc-totient ) | |
1847 | ( Floor . calcFunc-floor ) | |
1848 | ( Gamma . calcFunc-gamma ) | |
1849 | ( GCD . calcFunc-gcd ) | |
1850 | ( If . calcFunc-if ) | |
1851 | ( Im . calcFunc-im ) | |
1852 | ( Inverse . calcFunc-inv ) | |
1853 | ( Integrate . calcFunc-integ ) | |
1854 | ( Join . calcFunc-vconcat ) | |
1855 | ( LCM . calcFunc-lcm ) | |
1856 | ( Log . calcFunc-ln ) | |
1857 | ( Max . calcFunc-max ) | |
1858 | ( Min . calcFunc-min ) | |
1859 | ( Mod . calcFunc-mod ) | |
1860 | ( MoebiusMu . calcFunc-moebius ) | |
1861 | ( Random . calcFunc-random ) | |
1862 | ( Round . calcFunc-round ) | |
1863 | ( Re . calcFunc-re ) | |
671dfbd8 JB |
1864 | ( Sec . calcFunc-sec ) |
1865 | ( Sech . calcFunc-sech ) | |
136211a9 EZ |
1866 | ( Sign . calcFunc-sign ) |
1867 | ( Sin . calcFunc-sin ) | |
1868 | ( Sinh . calcFunc-sinh ) | |
1869 | ( Sqrt . calcFunc-sqrt ) | |
1870 | ( Tan . calcFunc-tan ) | |
1871 | ( Tanh . calcFunc-tanh ) | |
1872 | ( Transpose . calcFunc-trn ) | |
1873 | ( Length . calcFunc-vlen ) | |
1874 | )) | |
1875 | ||
1876 | (put 'math 'math-variable-table | |
1877 | '( ( I . var-i ) | |
1878 | ( Pi . var-pi ) | |
1879 | ( E . var-e ) | |
1880 | ( GoldenRatio . var-phi ) | |
1881 | ( EulerGamma . var-gamma ) | |
1882 | ( Infinity . var-inf ) | |
1883 | ( ComplexInfinity . var-uinf ) | |
1884 | ( Indeterminate . var-nan ) | |
1885 | )) | |
1886 | ||
1887 | (put 'math 'math-vector-brackets "{}") | |
1888 | (put 'math 'math-complex-format 'I) | |
1889 | (put 'math 'math-function-open "[") | |
1890 | (put 'math 'math-function-close "]") | |
1891 | ||
1892 | (put 'math 'math-radix-formatter | |
1893 | (function (lambda (r s) (format "%d^^%s" r s)))) | |
1894 | ||
7cf24610 JB |
1895 | (put 'math 'math-lang-read |
1896 | '((eq (string-match "\\[\\[\\|->\\|:>" math-exp-str math-exp-pos) | |
1897 | math-exp-pos) | |
1898 | (setq math-exp-token 'punc | |
1899 | math-expr-data (math-match-substring math-exp-str 0) | |
1900 | math-exp-pos (match-end 0)))) | |
1901 | ||
1902 | (put 'math 'math-compose-subscr | |
1903 | (function | |
1904 | (lambda (a) | |
1905 | (list 'horiz | |
1906 | (math-compose-expr (nth 1 a) 1000) | |
1907 | "[[" | |
1908 | (math-compose-expr (nth 2 a) 0) | |
1909 | "]]")))) | |
1910 | ||
136211a9 EZ |
1911 | (defun math-read-math-subscr (x op) |
1912 | (let ((idx (math-read-expr-level 0))) | |
54961aa0 | 1913 | (or (and (equal math-expr-data "]") |
136211a9 EZ |
1914 | (progn |
1915 | (math-read-token) | |
54961aa0 | 1916 | (equal math-expr-data "]"))) |
136211a9 EZ |
1917 | (throw 'syntax "Expected ']]'")) |
1918 | (math-read-token) | |
bf77c646 | 1919 | (list 'calcFunc-subscr x idx))) |
136211a9 EZ |
1920 | |
1921 | ||
1922 | (defun calc-maple-language () | |
1923 | (interactive) | |
1924 | (calc-wrapper | |
1925 | (calc-set-language 'maple) | |
3132f345 | 1926 | (message "Maple language mode"))) |
136211a9 EZ |
1927 | |
1928 | (put 'maple 'math-oper-table | |
1929 | '( ( "matrix" ident -1 300 ) | |
1930 | ( "MATRIX" ident -1 300 ) | |
1931 | ( "!" calcFunc-fact 210 -1 ) | |
1932 | ( "^" ^ 201 200 ) | |
1933 | ( "**" ^ 201 200 ) | |
1934 | ( "u+" ident -1 197 ) | |
1935 | ( "u-" neg -1 197 ) | |
1936 | ( "/" / 191 192 ) | |
1937 | ( "*" * 191 192 ) | |
1938 | ( "intersect" calcFunc-vint 191 192 ) | |
1939 | ( "+" + 180 181 ) | |
1940 | ( "-" - 180 181 ) | |
1941 | ( "union" calcFunc-vunion 180 181 ) | |
1942 | ( "minus" calcFunc-vdiff 180 181 ) | |
1943 | ( "mod" % 170 170 ) | |
1944 | ( ".." (math-read-maple-dots) 165 165 ) | |
1945 | ( "\\dots" (math-read-maple-dots) 165 165 ) | |
1946 | ( "<" calcFunc-lt 160 160 ) | |
1947 | ( ">" calcFunc-gt 160 160 ) | |
1948 | ( "<=" calcFunc-leq 160 160 ) | |
1949 | ( ">=" calcFunc-geq 160 160 ) | |
1950 | ( "=" calcFunc-eq 160 160 ) | |
1951 | ( "<>" calcFunc-neq 160 160 ) | |
1952 | ( "not" calcFunc-lnot -1 121 ) | |
1953 | ( "and" calcFunc-land 110 111 ) | |
1954 | ( "or" calcFunc-lor 100 101 ) | |
1955 | ( "!!!" calcFunc-pnot -1 85 ) | |
1956 | ( "&&&" calcFunc-pand 80 81 ) | |
1957 | ( "|||" calcFunc-por 75 76 ) | |
1958 | ( ":=" calcFunc-assign 51 50 ) | |
1959 | ( "::" calcFunc-condition 45 46 ) | |
1960 | )) | |
1961 | ||
1962 | (put 'maple 'math-function-table | |
1963 | '( ( bernoulli . calcFunc-bern ) | |
1964 | ( binomial . calcFunc-choose ) | |
1965 | ( diff . calcFunc-deriv ) | |
1966 | ( GAMMA . calcFunc-gamma ) | |
1967 | ( ifactor . calcFunc-prfac ) | |
1968 | ( igcd . calcFunc-gcd ) | |
1969 | ( ilcm . calcFunc-lcm ) | |
1970 | ( int . calcFunc-integ ) | |
1971 | ( modp . % ) | |
1972 | ( irem . % ) | |
1973 | ( iquo . calcFunc-idiv ) | |
1974 | ( isprime . calcFunc-prime ) | |
1975 | ( length . calcFunc-vlen ) | |
1976 | ( member . calcFunc-in ) | |
1977 | ( crossprod . calcFunc-cross ) | |
1978 | ( inverse . calcFunc-inv ) | |
1979 | ( trace . calcFunc-tr ) | |
1980 | ( transpose . calcFunc-trn ) | |
1981 | ( vectdim . calcFunc-vlen ) | |
1982 | )) | |
1983 | ||
7cf24610 JB |
1984 | (put 'maple 'math-special-function-table |
1985 | '((intv . math-compose-maple-intv))) | |
1986 | ||
136211a9 EZ |
1987 | (put 'maple 'math-variable-table |
1988 | '( ( I . var-i ) | |
1989 | ( Pi . var-pi ) | |
1990 | ( E . var-e ) | |
1991 | ( infinity . var-inf ) | |
1992 | ( infinity . var-uinf ) | |
1993 | ( infinity . var-nan ) | |
1994 | )) | |
1995 | ||
1996 | (put 'maple 'math-complex-format 'I) | |
1997 | ||
7cf24610 JB |
1998 | (put 'maple 'math-matrix-formatter |
1999 | (function | |
2000 | (lambda (a) | |
2001 | (list 'horiz | |
2002 | "matrix(" | |
2003 | math-comp-left-bracket | |
2004 | (math-compose-vector (cdr a) | |
2005 | (concat math-comp-comma " ") | |
2006 | math-comp-vector-prec) | |
2007 | math-comp-right-bracket | |
2008 | ")")))) | |
2009 | ||
2010 | (put 'maple 'math-compose-subscr | |
2011 | (function | |
2012 | (lambda (a) | |
2013 | (let ((args (cdr (cdr a)))) | |
2014 | (list 'horiz | |
2015 | (math-compose-expr (nth 1 a) 1000) | |
2016 | "[" | |
2017 | (math-compose-vector args ", " 0) | |
2018 | "]"))))) | |
2019 | ||
2020 | (add-to-list 'calc-lang-allow-underscores 'maple) | |
2021 | (add-to-list 'calc-lang-brackets-are-subscripts 'maple) | |
2022 | ||
2023 | (defun math-compose-maple-intv (a) | |
2024 | (list 'horiz | |
2025 | (math-compose-expr (nth 2 a) 0) | |
2026 | " .. " | |
2027 | (math-compose-expr (nth 3 a) 0))) | |
2028 | ||
136211a9 | 2029 | (defun math-read-maple-dots (x op) |
bf77c646 | 2030 | (list 'intv 3 x (math-read-expr-level (nth 3 op)))) |
136211a9 EZ |
2031 | |
2032 | ||
8cd2540e JB |
2033 | ;; The variable math-read-big-lines is local to math-read-big-expr in |
2034 | ;; calc-ext.el, but is used by math-read-big-rec, math-read-big-char, | |
2035 | ;; math-read-big-emptyp, math-read-big-error and math-read-big-balance, | |
2036 | ;; which are called (directly and indirectly) by math-read-big-expr. | |
2037 | ;; It is also local to math-read-big-bigp in calc-ext.el, which calls | |
2038 | ;; math-read-big-balance. | |
2039 | (defvar math-read-big-lines) | |
2040 | ||
2041 | ;; The variables math-read-big-baseline and math-read-big-h2 are | |
2042 | ;; local to math-read-big-expr in calc-ext.el, but used by | |
2043 | ;; math-read-big-rec. | |
2044 | (defvar math-read-big-baseline) | |
2045 | (defvar math-read-big-h2) | |
2046 | ||
2047 | ;; The variables math-rb-h1, math-rb-h2, math-rb-v1 and math-rb-v2 | |
2048 | ;; are local to math-read-big-rec, but are used by math-read-big-char, | |
2049 | ;; math-read-big-emptyp and math-read-big-balance which are called by | |
2050 | ;; math-read-big-rec. | |
2051 | ;; math-rb-h2 is also local to math-read-big-bigp in calc-ext.el, | |
2052 | ;; which calls math-read-big-balance. | |
2053 | (defvar math-rb-h1) | |
2054 | (defvar math-rb-h2) | |
2055 | (defvar math-rb-v1) | |
2056 | (defvar math-rb-v2) | |
2057 | ||
2058 | (defun math-read-big-rec (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2 | |
2059 | &optional baseline prec short) | |
136211a9 EZ |
2060 | (or prec (setq prec 0)) |
2061 | ||
2062 | ;; Clip whitespace above or below. | |
8cd2540e JB |
2063 | (while (and (< math-rb-v1 math-rb-v2) |
2064 | (math-read-big-emptyp math-rb-h1 math-rb-v1 math-rb-h2 (1+ math-rb-v1))) | |
2065 | (setq math-rb-v1 (1+ math-rb-v1))) | |
2066 | (while (and (< math-rb-v1 math-rb-v2) | |
2067 | (math-read-big-emptyp math-rb-h1 (1- math-rb-v2) math-rb-h2 math-rb-v2)) | |
2068 | (setq math-rb-v2 (1- math-rb-v2))) | |
136211a9 EZ |
2069 | |
2070 | ;; If formula is a single line high, normal parser can handle it. | |
8cd2540e JB |
2071 | (if (<= math-rb-v2 (1+ math-rb-v1)) |
2072 | (if (or (<= math-rb-v2 math-rb-v1) | |
2073 | (> math-rb-h1 (length (setq math-rb-v2 | |
2074 | (nth math-rb-v1 math-read-big-lines))))) | |
2075 | (math-read-big-error math-rb-h1 math-rb-v1) | |
2076 | (setq math-read-big-baseline math-rb-v1 | |
2077 | math-read-big-h2 math-rb-h2 | |
2078 | math-rb-v2 (nth math-rb-v1 math-read-big-lines) | |
2079 | math-rb-h2 (math-read-expr | |
2080 | (substring math-rb-v2 math-rb-h1 | |
2081 | (min math-rb-h2 (length math-rb-v2))))) | |
2082 | (if (eq (car-safe math-rb-h2) 'error) | |
2083 | (math-read-big-error (+ math-rb-h1 (nth 1 math-rb-h2)) | |
2084 | math-rb-v1 (nth 2 math-rb-h2)) | |
2085 | math-rb-h2)) | |
136211a9 EZ |
2086 | |
2087 | ;; Clip whitespace at left or right. | |
8cd2540e JB |
2088 | (while (and (< math-rb-h1 math-rb-h2) |
2089 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) math-rb-v2)) | |
2090 | (setq math-rb-h1 (1+ math-rb-h1))) | |
2091 | (while (and (< math-rb-h1 math-rb-h2) | |
2092 | (math-read-big-emptyp (1- math-rb-h2) math-rb-v1 math-rb-h2 math-rb-v2)) | |
2093 | (setq math-rb-h2 (1- math-rb-h2))) | |
136211a9 EZ |
2094 | |
2095 | ;; Scan to find widest left-justified "----" in the region. | |
2096 | (let* ((widest nil) | |
2097 | (widest-h2 0) | |
8cd2540e | 2098 | (lines-v1 (nthcdr math-rb-v1 math-read-big-lines)) |
136211a9 | 2099 | (p lines-v1) |
8cd2540e | 2100 | (v math-rb-v1) |
136211a9 EZ |
2101 | (other-v nil) |
2102 | other-char line len h) | |
8cd2540e | 2103 | (while (< v math-rb-v2) |
136211a9 | 2104 | (setq line (car p) |
8cd2540e JB |
2105 | len (min math-rb-h2 (length line))) |
2106 | (and (< math-rb-h1 len) | |
2107 | (/= (aref line math-rb-h1) ?\ ) | |
2108 | (if (and (= (aref line math-rb-h1) ?\-) | |
136211a9 | 2109 | ;; Make sure it's not a minus sign. |
8cd2540e JB |
2110 | (or (and (< (1+ math-rb-h1) len) |
2111 | (= (aref line (1+ math-rb-h1)) ?\-)) | |
2112 | (/= (math-read-big-char math-rb-h1 (1- v)) ?\ ) | |
2113 | (/= (math-read-big-char math-rb-h1 (1+ v)) ?\ ))) | |
136211a9 | 2114 | (progn |
8cd2540e | 2115 | (setq h math-rb-h1) |
136211a9 EZ |
2116 | (while (and (< (setq h (1+ h)) len) |
2117 | (= (aref line h) ?\-))) | |
2118 | (if (> h widest-h2) | |
2119 | (setq widest v | |
2120 | widest-h2 h))) | |
8cd2540e | 2121 | (or other-v (setq other-v v other-char (aref line math-rb-h1))))) |
136211a9 EZ |
2122 | (setq v (1+ v) |
2123 | p (cdr p))) | |
2124 | ||
2125 | (cond ((not (setq v other-v)) | |
8cd2540e | 2126 | (math-read-big-error math-rb-h1 math-rb-v1)) ; Should never happen! |
136211a9 EZ |
2127 | |
2128 | ;; Quotient. | |
2129 | (widest | |
2130 | (setq h widest-h2 | |
2131 | v widest) | |
8cd2540e JB |
2132 | (let ((num (math-read-big-rec math-rb-h1 math-rb-v1 h v)) |
2133 | (den (math-read-big-rec math-rb-h1 (1+ v) h math-rb-v2))) | |
136211a9 EZ |
2134 | (setq p (if (and (math-integerp num) (math-integerp den)) |
2135 | (math-make-frac num den) | |
2136 | (list '/ num den))))) | |
2137 | ||
2138 | ;; Big radical sign. | |
2139 | ((= other-char ?\\) | |
8cd2540e JB |
2140 | (or (= (math-read-big-char (1+ math-rb-h1) v) ?\|) |
2141 | (math-read-big-error (1+ math-rb-h1) v "Malformed root sign")) | |
2142 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) | |
2143 | (while (= (math-read-big-char (1+ math-rb-h1) (setq v (1- v))) ?\|)) | |
2144 | (or (= (math-read-big-char (setq h (+ math-rb-h1 2)) v) ?\_) | |
136211a9 EZ |
2145 | (math-read-big-error h v "Malformed root sign")) |
2146 | (while (= (math-read-big-char (setq h (1+ h)) v) ?\_)) | |
8cd2540e JB |
2147 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) |
2148 | (math-read-big-emptyp math-rb-h1 (1+ other-v) h math-rb-v2 nil t) | |
136211a9 | 2149 | (setq p (list 'calcFunc-sqrt (math-read-big-rec |
8cd2540e | 2150 | (+ math-rb-h1 2) (1+ v) |
136211a9 | 2151 | h (1+ other-v) baseline)) |
8cd2540e | 2152 | v math-read-big-baseline)) |
136211a9 EZ |
2153 | |
2154 | ;; Small radical sign. | |
2155 | ((and (= other-char ?V) | |
8cd2540e JB |
2156 | (= (math-read-big-char (1+ math-rb-h1) (1- v)) ?\_)) |
2157 | (setq h (1+ math-rb-h1)) | |
2158 | (math-read-big-emptyp math-rb-h1 math-rb-v1 h (1- v) nil t) | |
2159 | (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t) | |
2160 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) | |
136211a9 EZ |
2161 | (while (= (math-read-big-char (setq h (1+ h)) (1- v)) ?\_)) |
2162 | (setq p (list 'calcFunc-sqrt (math-read-big-rec | |
8cd2540e JB |
2163 | (1+ math-rb-h1) v h (1+ v) t)) |
2164 | v math-read-big-baseline)) | |
136211a9 EZ |
2165 | |
2166 | ;; Binomial coefficient. | |
2167 | ((and (= other-char ?\() | |
8cd2540e JB |
2168 | (= (math-read-big-char (1+ math-rb-h1) v) ?\ ) |
2169 | (= (string-match "( *)" (nth v math-read-big-lines) | |
2170 | math-rb-h1) math-rb-h1)) | |
136211a9 | 2171 | (setq h (match-end 0)) |
8cd2540e JB |
2172 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) |
2173 | (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t) | |
2174 | (math-read-big-emptyp (1- h) math-rb-v1 h v nil t) | |
2175 | (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t) | |
136211a9 | 2176 | (setq p (list 'calcFunc-choose |
8cd2540e JB |
2177 | (math-read-big-rec (1+ math-rb-h1) math-rb-v1 (1- h) v) |
2178 | (math-read-big-rec (1+ math-rb-h1) (1+ v) | |
2179 | (1- h) math-rb-v2)))) | |
136211a9 EZ |
2180 | |
2181 | ;; Minus sign. | |
2182 | ((= other-char ?\-) | |
8cd2540e JB |
2183 | (setq p (list 'neg (math-read-big-rec (1+ math-rb-h1) math-rb-v1 |
2184 | math-rb-h2 math-rb-v2 v 250 t)) | |
2185 | v math-read-big-baseline | |
2186 | h math-read-big-h2)) | |
136211a9 EZ |
2187 | |
2188 | ;; Parentheses. | |
2189 | ((= other-char ?\() | |
8cd2540e JB |
2190 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) |
2191 | (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t) | |
2192 | (setq h (math-read-big-balance (1+ math-rb-h1) v "(" t)) | |
2193 | (math-read-big-emptyp (1- h) math-rb-v1 h v nil t) | |
2194 | (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t) | |
136211a9 EZ |
2195 | (let ((sep (math-read-big-char (1- h) v)) |
2196 | hmid) | |
2197 | (if (= sep ?\.) | |
2198 | (setq h (1+ h))) | |
2199 | (if (= sep ?\]) | |
2200 | (math-read-big-error (1- h) v "Expected `)'")) | |
2201 | (if (= sep ?\)) | |
8cd2540e JB |
2202 | (setq p (math-read-big-rec |
2203 | (1+ math-rb-h1) math-rb-v1 (1- h) math-rb-v2 v)) | |
136211a9 | 2204 | (setq hmid (math-read-big-balance h v "(") |
8cd2540e JB |
2205 | p (list p |
2206 | (math-read-big-rec h math-rb-v1 (1- hmid) math-rb-v2 v)) | |
136211a9 EZ |
2207 | h hmid) |
2208 | (cond ((= sep ?\.) | |
2209 | (setq p (cons 'intv (cons (if (= (math-read-big-char | |
2210 | (1- h) v) | |
2211 | ?\)) | |
2212 | 0 1) | |
2213 | p)))) | |
2214 | ((= (math-read-big-char (1- h) v) ?\]) | |
2215 | (math-read-big-error (1- h) v "Expected `)'")) | |
2216 | ((= sep ?\,) | |
2217 | (or (and (math-realp (car p)) (math-realp (nth 1 p))) | |
2218 | (math-read-big-error | |
8cd2540e | 2219 | math-rb-h1 v "Complex components must be real")) |
136211a9 EZ |
2220 | (setq p (cons 'cplx p))) |
2221 | ((= sep ?\;) | |
2222 | (or (and (math-realp (car p)) (math-anglep (nth 1 p))) | |
2223 | (math-read-big-error | |
8cd2540e | 2224 | math-rb-h1 v "Complex components must be real")) |
136211a9 EZ |
2225 | (setq p (cons 'polar p))))))) |
2226 | ||
2227 | ;; Matrix. | |
2228 | ((and (= other-char ?\[) | |
8cd2540e | 2229 | (or (= (math-read-big-char (setq h math-rb-h1) (1+ v)) ?\[) |
136211a9 EZ |
2230 | (= (math-read-big-char (setq h (1+ h)) v) ?\[) |
2231 | (and (= (math-read-big-char h v) ?\ ) | |
2232 | (= (math-read-big-char (setq h (1+ h)) v) ?\[))) | |
2233 | (= (math-read-big-char h (1+ v)) ?\[)) | |
8cd2540e | 2234 | (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t) |
136211a9 EZ |
2235 | (let ((vtop v) |
2236 | (hleft h) | |
2237 | (hright nil)) | |
2238 | (setq p nil) | |
2239 | (while (progn | |
2240 | (setq h (math-read-big-balance (1+ hleft) v "[")) | |
2241 | (if hright | |
2242 | (or (= h hright) | |
2243 | (math-read-big-error hright v "Expected `]'")) | |
2244 | (setq hright h)) | |
2245 | (setq p (cons (math-read-big-rec | |
2246 | hleft v h (1+ v)) p)) | |
2247 | (and (memq (math-read-big-char h v) '(?\ ?\,)) | |
2248 | (= (math-read-big-char hleft (1+ v)) ?\[))) | |
2249 | (setq v (1+ v))) | |
8cd2540e | 2250 | (or (= hleft math-rb-h1) |
136211a9 EZ |
2251 | (progn |
2252 | (if (= (math-read-big-char h v) ?\ ) | |
2253 | (setq h (1+ h))) | |
2254 | (and (= (math-read-big-char h v) ?\]) | |
2255 | (setq h (1+ h)))) | |
2256 | (math-read-big-error (1- h) v "Expected `]'")) | |
2257 | (if (= (math-read-big-char h vtop) ?\,) | |
2258 | (setq h (1+ h))) | |
8cd2540e | 2259 | (math-read-big-emptyp math-rb-h1 (1+ v) (1- h) math-rb-v2 nil t) |
136211a9 EZ |
2260 | (setq v (+ vtop (/ (- v vtop) 2)) |
2261 | p (cons 'vec (nreverse p))))) | |
2262 | ||
2263 | ;; Square brackets. | |
2264 | ((= other-char ?\[) | |
8cd2540e JB |
2265 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) |
2266 | (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t) | |
136211a9 | 2267 | (setq p nil |
8cd2540e | 2268 | h (1+ math-rb-h1)) |
136211a9 EZ |
2269 | (while (progn |
2270 | (setq widest (math-read-big-balance h v "[" t)) | |
8cd2540e JB |
2271 | (math-read-big-emptyp (1- h) math-rb-v1 h v nil t) |
2272 | (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t) | |
136211a9 | 2273 | (setq p (cons (math-read-big-rec |
8cd2540e | 2274 | h math-rb-v1 (1- widest) math-rb-v2 v) p) |
136211a9 EZ |
2275 | h widest) |
2276 | (= (math-read-big-char (1- h) v) ?\,))) | |
2277 | (setq widest (math-read-big-char (1- h) v)) | |
2278 | (if (or (memq widest '(?\; ?\))) | |
2279 | (and (eq widest ?\.) (cdr p))) | |
2280 | (math-read-big-error (1- h) v "Expected `]'")) | |
2281 | (if (= widest ?\.) | |
2282 | (setq h (1+ h) | |
2283 | widest (math-read-big-balance h v "[") | |
8cd2540e JB |
2284 | p (nconc p (list (math-read-big-rec |
2285 | h math-rb-v1 (1- widest) math-rb-v2 v))) | |
136211a9 EZ |
2286 | h widest |
2287 | p (cons 'intv (cons (if (= (math-read-big-char (1- h) v) | |
2288 | ?\]) | |
2289 | 3 2) | |
2290 | p))) | |
2291 | (setq p (cons 'vec (nreverse p))))) | |
2292 | ||
2293 | ;; Date form. | |
2294 | ((= other-char ?\<) | |
8cd2540e JB |
2295 | (setq line (nth v math-read-big-lines)) |
2296 | (string-match ">" line math-rb-h1) | |
136211a9 | 2297 | (setq h (match-end 0)) |
8cd2540e JB |
2298 | (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t) |
2299 | (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t) | |
2300 | (setq p (math-read-big-rec math-rb-h1 v h (1+ v) v))) | |
136211a9 EZ |
2301 | |
2302 | ;; Variable name or function call. | |
2303 | ((or (and (>= other-char ?a) (<= other-char ?z)) | |
2304 | (and (>= other-char ?A) (<= other-char ?Z))) | |
8cd2540e JB |
2305 | (setq line (nth v math-read-big-lines)) |
2306 | (string-match "\\([a-zA-Z'_]+\\) *" line math-rb-h1) | |
136211a9 EZ |
2307 | (setq h (match-end 1) |
2308 | widest (match-end 0) | |
2309 | p (math-match-substring line 1)) | |
8cd2540e JB |
2310 | (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t) |
2311 | (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t) | |
136211a9 EZ |
2312 | (if (= (math-read-big-char widest v) ?\() |
2313 | (progn | |
2314 | (setq line (if (string-match "-" p) | |
2315 | (intern p) | |
2316 | (intern (concat "calcFunc-" p))) | |
2317 | h (1+ widest) | |
2318 | p nil) | |
8cd2540e JB |
2319 | (math-read-big-emptyp widest math-rb-v1 h v nil t) |
2320 | (math-read-big-emptyp widest (1+ v) h math-rb-v2 nil t) | |
136211a9 EZ |
2321 | (while (progn |
2322 | (setq widest (math-read-big-balance h v "(" t)) | |
8cd2540e JB |
2323 | (math-read-big-emptyp (1- h) math-rb-v1 h v nil t) |
2324 | (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t) | |
136211a9 | 2325 | (setq p (cons (math-read-big-rec |
8cd2540e | 2326 | h math-rb-v1 (1- widest) math-rb-v2 v) p) |
136211a9 EZ |
2327 | h widest) |
2328 | (= (math-read-big-char (1- h) v) ?\,))) | |
2329 | (or (= (math-read-big-char (1- h) v) ?\)) | |
2330 | (math-read-big-error (1- h) v "Expected `)'")) | |
2331 | (setq p (cons line (nreverse p)))) | |
2332 | (setq p (list 'var | |
2333 | (intern (math-remove-dashes p)) | |
2334 | (if (string-match "-" p) | |
2335 | (intern p) | |
2336 | (intern (concat "var-" p))))))) | |
2337 | ||
2338 | ;; Number. | |
2339 | (t | |
8cd2540e JB |
2340 | (setq line (nth v math-read-big-lines)) |
2341 | (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 |
2342 | (math-read-big-error h v "Expected a number")) |
2343 | (setq h (match-end 0) | |
2344 | p (math-read-number (math-match-substring line 0))) | |
8cd2540e JB |
2345 | (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t) |
2346 | (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t))) | |
136211a9 | 2347 | |
8cd2540e JB |
2348 | ;; Now left term is bounded by math-rb-h1, math-rb-v1, h, math-rb-v2; |
2349 | ;; baseline = v. | |
136211a9 EZ |
2350 | (if baseline |
2351 | (or (= v baseline) | |
8cd2540e | 2352 | (math-read-big-error math-rb-h1 v "Inconsistent baseline in formula")) |
136211a9 EZ |
2353 | (setq baseline v)) |
2354 | ||
2355 | ;; Look for superscripts or subscripts. | |
8cd2540e JB |
2356 | (setq line (nth baseline math-read-big-lines) |
2357 | len (min math-rb-h2 (length line)) | |
136211a9 EZ |
2358 | widest h) |
2359 | (while (and (< widest len) | |
2360 | (= (aref line widest) ?\ )) | |
2361 | (setq widest (1+ widest))) | |
8cd2540e JB |
2362 | (and (>= widest len) (setq widest math-rb-h2)) |
2363 | (if (math-read-big-emptyp h v widest math-rb-v2) | |
2364 | (if (math-read-big-emptyp h math-rb-v1 widest v) | |
136211a9 | 2365 | (setq h widest) |
8cd2540e | 2366 | (setq p (list '^ p (math-read-big-rec h math-rb-v1 widest v)) |
136211a9 | 2367 | h widest)) |
8cd2540e | 2368 | (if (math-read-big-emptyp h math-rb-v1 widest v) |
136211a9 | 2369 | (setq p (list 'calcFunc-subscr p |
8cd2540e | 2370 | (math-read-big-rec h v widest math-rb-v2)) |
136211a9 EZ |
2371 | h widest))) |
2372 | ||
2373 | ;; Look for an operator name and grab additional terms. | |
2374 | (while (and (< h len) | |
2375 | (if (setq widest (and (math-read-big-emptyp | |
8cd2540e | 2376 | h math-rb-v1 (1+ h) v) |
136211a9 | 2377 | (math-read-big-emptyp |
8cd2540e | 2378 | h (1+ v) (1+ h) math-rb-v2) |
136211a9 EZ |
2379 | (string-match "<=\\|>=\\|\\+/-\\|!=\\|&&\\|||\\|:=\\|=>\\|." line h) |
2380 | (assoc (math-match-substring line 0) | |
09be88b3 | 2381 | (math-standard-ops)))) |
136211a9 EZ |
2382 | (and (>= (nth 2 widest) prec) |
2383 | (setq h (match-end 0))) | |
2384 | (and (not (eq (string-match ",\\|;\\|\\.\\.\\|)\\|\\]\\|:" line h) | |
2385 | h)) | |
2386 | (setq widest '("2x" * 196 195))))) | |
2387 | (cond ((eq (nth 3 widest) -1) | |
2388 | (setq p (list (nth 1 widest) p))) | |
2389 | ((equal (car widest) "?") | |
8cd2540e JB |
2390 | (let ((y (math-read-big-rec h math-rb-v1 math-rb-h2 |
2391 | math-rb-v2 baseline nil t))) | |
2392 | (or (= (math-read-big-char math-read-big-h2 baseline) ?\:) | |
2393 | (math-read-big-error math-read-big-h2 baseline "Expected `:'")) | |
136211a9 | 2394 | (setq p (list (nth 1 widest) p y |
8cd2540e JB |
2395 | (math-read-big-rec |
2396 | (1+ math-read-big-h2) math-rb-v1 math-rb-h2 math-rb-v2 | |
2397 | baseline (nth 3 widest) t)) | |
2398 | h math-read-big-h2))) | |
136211a9 EZ |
2399 | (t |
2400 | (setq p (list (nth 1 widest) p | |
8cd2540e | 2401 | (math-read-big-rec h math-rb-v1 math-rb-h2 math-rb-v2 |
136211a9 | 2402 | baseline (nth 3 widest) t)) |
8cd2540e | 2403 | h math-read-big-h2)))) |
136211a9 EZ |
2404 | |
2405 | ;; Return all relevant information to caller. | |
8cd2540e JB |
2406 | (setq math-read-big-baseline baseline |
2407 | math-read-big-h2 h) | |
2408 | (or short (= math-read-big-h2 math-rb-h2) | |
136211a9 | 2409 | (math-read-big-error h baseline)) |
bf77c646 | 2410 | p))) |
136211a9 EZ |
2411 | |
2412 | (defun math-read-big-char (h v) | |
8cd2540e JB |
2413 | (or (and (>= h math-rb-h1) |
2414 | (< h math-rb-h2) | |
2415 | (>= v math-rb-v1) | |
2416 | (< v math-rb-v2) | |
2417 | (let ((line (nth v math-read-big-lines))) | |
136211a9 EZ |
2418 | (and line |
2419 | (< h (length line)) | |
2420 | (aref line h)))) | |
bf77c646 | 2421 | ?\ )) |
136211a9 EZ |
2422 | |
2423 | (defun math-read-big-emptyp (eh1 ev1 eh2 ev2 &optional what error) | |
8cd2540e JB |
2424 | (and (< ev1 math-rb-v1) (setq ev1 math-rb-v1)) |
2425 | (and (< eh1 math-rb-h1) (setq eh1 math-rb-h1)) | |
2426 | (and (> ev2 math-rb-v2) (setq ev2 math-rb-v2)) | |
2427 | (and (> eh2 math-rb-h2) (setq eh2 math-rb-h2)) | |
136211a9 | 2428 | (or what (setq what ?\ )) |
8cd2540e | 2429 | (let ((p (nthcdr ev1 math-read-big-lines)) |
136211a9 EZ |
2430 | h) |
2431 | (while (and (< ev1 ev2) | |
2432 | (progn | |
2433 | (setq h (min eh2 (length (car p)))) | |
2434 | (while (and (>= (setq h (1- h)) eh1) | |
2435 | (= (aref (car p) h) what))) | |
2436 | (and error (>= h eh1) | |
2437 | (math-read-big-error h ev1 (if (stringp error) | |
2438 | error | |
2439 | "Whitespace expected"))) | |
2440 | (< h eh1))) | |
2441 | (setq ev1 (1+ ev1) | |
2442 | p (cdr p))) | |
bf77c646 | 2443 | (>= ev1 ev2))) |
136211a9 | 2444 | |
8cd2540e JB |
2445 | ;; math-read-big-err-msg is local to math-read-big-expr in calc-ext.el, |
2446 | ;; but is used by math-read-big-error which is called (indirectly) by | |
2447 | ;; math-read-big-expr. | |
2448 | (defvar math-read-big-err-msg) | |
2449 | ||
136211a9 EZ |
2450 | (defun math-read-big-error (h v &optional msg) |
2451 | (let ((pos 0) | |
8cd2540e | 2452 | (p math-read-big-lines)) |
136211a9 EZ |
2453 | (while (> v 0) |
2454 | (setq pos (+ pos 1 (length (car p))) | |
2455 | p (cdr p) | |
2456 | v (1- v))) | |
2457 | (setq h (+ pos (min h (length (car p)))) | |
8cd2540e | 2458 | math-read-big-err-msg (list 'error h (or msg "Syntax error"))) |
bf77c646 | 2459 | (throw 'syntax nil))) |
136211a9 EZ |
2460 | |
2461 | (defun math-read-big-balance (h v what &optional commas) | |
8cd2540e JB |
2462 | (let* ((line (nth v math-read-big-lines)) |
2463 | (len (min math-rb-h2 (length line))) | |
136211a9 EZ |
2464 | (count 1)) |
2465 | (while (> count 0) | |
2466 | (if (>= h len) | |
2467 | (if what | |
8cd2540e | 2468 | (math-read-big-error nil v (format "Unmatched `%s'" what)) |
136211a9 EZ |
2469 | (setq count 0)) |
2470 | (if (memq (aref line h) '(?\( ?\[)) | |
2471 | (setq count (1+ count)) | |
2472 | (if (if (and commas (= count 1)) | |
2473 | (or (memq (aref line h) '(?\) ?\] ?\, ?\;)) | |
2474 | (and (eq (aref line h) ?\.) | |
2475 | (< (1+ h) len) | |
2476 | (eq (aref line (1+ h)) ?\.))) | |
2477 | (memq (aref line h) '(?\) ?\]))) | |
2478 | (setq count (1- count)))) | |
2479 | (setq h (1+ h)))) | |
bf77c646 | 2480 | h)) |
136211a9 | 2481 | |
4b37638f JB |
2482 | (provide 'calc-lang) |
2483 | ||
cbee283d | 2484 | ;; arch-tag: 483bfe15-f290-4fef-bb7d-ce65be687f2e |
bf77c646 | 2485 | ;;; calc-lang.el ends here |