HCoop / bpt / emacs.git / blame
| Commit | Line | Data |
|---|---|---|
| 3132f345 CW |
1 | ;;; calc-lang.el --- calc language functions |
| 2 | ||
| ab422c4d | 3 | ;; Copyright (C) 1990-1993, 2001-2013 Free Software Foundation, Inc. |
| 3132f345 CW |
4 | |
| 5 | ;; Author: David Gillespie <daveg@synaptics.com> | |
| e8fff8ed | 6 | ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com> |
| 136211a9 EZ |
7 | |
| 8 | ;; This file is part of GNU Emacs. | |
| 9 | ||
| 662c9c64 | 10 | ;; GNU Emacs is free software: you can redistribute it and/or modify |
| 7c671b23 | 11 | ;; it under the terms of the GNU General Public License as published by |
| 662c9c64 GM |
12 | ;; the Free Software Foundation, either version 3 of the License, or |
| 13 | ;; (at your option) any later version. | |
| 7c671b23 | 14 | |
| 136211a9 | 15 | ;; GNU Emacs is distributed in the hope that it will be useful, |
| 7c671b23 GM |
16 | ;; but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 17 | ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
| 18 | ;; GNU General Public License for more details. | |
| 19 | ||
| 20 | ;; You should have received a copy of the GNU General Public License | |
| 662c9c64 | 21 | ;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>. |
| 136211a9 | 22 | |
| 3132f345 CW |
23 | ;;; Commentary: |
| 24 | ||
| 25 | ;;; Code: | |
| 136211a9 | 26 | |
| 136211a9 | 27 | ;; This file is autoloaded from calc-ext.el. |
| 136211a9 | 28 | |
| 4b37638f | 29 | (require 'calc-ext) |
| 136211a9 EZ |
30 | (require 'calc-macs) |
| 31 | ||
| 41f4eebc JB |
32 | |
| 33 | ;; Declare functions which are defined elsewhere. | |
| 7cf24610 | 34 | (declare-function math-compose-vector "calccomp" (a sep prec)) |
| 3ae7df79 | 35 | (declare-function math-compose-var "calccomp" (a)) |
| 7cf24610 | 36 | (declare-function math-tex-expr-is-flat "calccomp" (a)) |
| 41f4eebc JB |
37 | (declare-function math-read-factor "calc-aent" ()) |
| 38 | (declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term)) | |
| 39 | ||
| 7cf24610 JB |
40 | ;; Declare variables which are defined elsewhere. |
| 41 | (defvar calc-lang-slash-idiv) | |
| 42 | (defvar calc-lang-allow-underscores) | |
| 8c1bb960 | 43 | (defvar calc-lang-allow-percentsigns) |
| 7cf24610 JB |
44 | (defvar math-comp-left-bracket) |
| 45 | (defvar math-comp-right-bracket) | |
| 46 | (defvar math-comp-comma) | |
| 47 | (defvar math-comp-vector-prec) | |
| 48 | ||
| 136211a9 EZ |
49 | ;;; Alternate entry/display languages. |
| 50 | ||
| 51 | (defun calc-set-language (lang &optional option no-refresh) | |
| 09be88b3 | 52 | (setq math-expr-opers (or (get lang 'math-oper-table) (math-standard-ops)) |
| 136211a9 EZ |
53 | math-expr-function-mapping (get lang 'math-function-table) |
| 54 | math-expr-variable-mapping (get lang 'math-variable-table) | |
| 55 | calc-language-input-filter (get lang 'math-input-filter) | |
| 56 | calc-language-output-filter (get lang 'math-output-filter) | |
| 57 | calc-vector-brackets (or (get lang 'math-vector-brackets) "[]") | |
| 58 | calc-complex-format (get lang 'math-complex-format) | |
| 59 | calc-radix-formatter (get lang 'math-radix-formatter) | |
| 60 | calc-function-open (or (get lang 'math-function-open) "(") | |
| 61 | calc-function-close (or (get lang 'math-function-close) ")")) | |
| 62 | (if no-refresh | |
| 63 | (setq calc-language lang | |
| 64 | calc-language-option option) | |
| 65 | (calc-change-mode '(calc-language calc-language-option) | |
| bf77c646 | 66 | (list lang option) t))) |
| 136211a9 EZ |
67 | |
| 68 | (defun calc-normal-language () | |
| 69 | (interactive) | |
| 70 | (calc-wrapper | |
| 71 | (calc-set-language nil) | |
| 3132f345 | 72 | (message "Normal language mode"))) |
| 136211a9 EZ |
73 | |
| 74 | (defun calc-flat-language () | |
| 75 | (interactive) | |
| 76 | (calc-wrapper | |
| 77 | (calc-set-language 'flat) | |
| 3132f345 | 78 | (message "Flat language mode (all stack entries shown on one line)"))) |
| 136211a9 EZ |
79 | |
| 80 | (defun calc-big-language () | |
| 81 | (interactive) | |
| 82 | (calc-wrapper | |
| 83 | (calc-set-language 'big) | |
| 3132f345 | 84 | (message "\"Big\" language mode"))) |
| 136211a9 EZ |
85 | |
| 86 | (defun calc-unformatted-language () | |
| 87 | (interactive) | |
| 88 | (calc-wrapper | |
| 89 | (calc-set-language 'unform) | |
| 3132f345 | 90 | (message "Unformatted language mode"))) |
| 136211a9 EZ |
91 | |
| 92 | ||
| 93 | (defun calc-c-language () | |
| 94 | (interactive) | |
| 95 | (calc-wrapper | |
| 96 | (calc-set-language 'c) | |
| 3132f345 | 97 | (message "`C' language mode"))) |
| 136211a9 EZ |
98 | |
| 99 | (put 'c 'math-oper-table | |
| ca54ae34 | 100 | '( ( "u!" calcFunc-lnot -1 1000 ) |
| 136211a9 | 101 | ( "~" calcFunc-not -1 1000 ) |
| ca54ae34 JB |
102 | ( "u+" ident -1 197 ) |
| 103 | ( "u-" neg -1 197 ) | |
| 136211a9 EZ |
104 | ( "*" * 190 191 ) |
| 105 | ( "/" / 190 191 ) | |
| 106 | ( "%" % 190 191 ) | |
| 107 | ( "+" + 180 181 ) | |
| 108 | ( "-" - 180 181 ) | |
| 109 | ( "<<" calcFunc-lsh 170 171 ) | |
| 110 | ( ">>" calcFunc-rsh 170 171 ) | |
| 111 | ( "<" calcFunc-lt 160 161 ) | |
| 112 | ( ">" calcFunc-gt 160 161 ) | |
| 113 | ( "<=" calcFunc-leq 160 161 ) | |
| 114 | ( ">=" calcFunc-geq 160 161 ) | |
| 115 | ( "==" calcFunc-eq 150 151 ) | |
| 116 | ( "!=" calcFunc-neq 150 151 ) | |
| 117 | ( "&" calcFunc-and 140 141 ) | |
| 118 | ( "^" calcFunc-xor 131 130 ) | |
| 119 | ( "|" calcFunc-or 120 121 ) | |
| 120 | ( "&&" calcFunc-land 110 111 ) | |
| 121 | ( "||" calcFunc-lor 100 101 ) | |
| 122 | ( "?" (math-read-if) 91 90 ) | |
| 123 | ( "!!!" calcFunc-pnot -1 88 ) | |
| 124 | ( "&&&" calcFunc-pand 85 86 ) | |
| 125 | ( "|||" calcFunc-por 75 76 ) | |
| 126 | ( "=" calcFunc-assign 51 50 ) | |
| 127 | ( ":=" calcFunc-assign 51 50 ) | |
| bf77c646 | 128 | ( "::" calcFunc-condition 45 46 ))) ; should support full assignments |
| 136211a9 EZ |
129 | |
| 130 | (put 'c 'math-function-table | |
| 131 | '( ( acos . calcFunc-arccos ) | |
| 132 | ( acosh . calcFunc-arccosh ) | |
| 133 | ( asin . calcFunc-arcsin ) | |
| 134 | ( asinh . calcFunc-arcsinh ) | |
| 135 | ( atan . calcFunc-arctan ) | |
| b1a10716 RS |
136 | ( atan2 . calcFunc-arctan2 ) |
| 137 | ( atanh . calcFunc-arctanh ) | |
| 138 | ( fma . (math-C-parse-fma)) | |
| 139 | ( fmax . calcFunc-max ) | |
| 140 | ( j0 . (math-C-parse-bess)) | |
| 141 | ( jn . calcFunc-besJ ) | |
| 142 | ( j1 . (math-C-parse-bess)) | |
| 143 | ( yn . calcFunc-besY ) | |
| 144 | ( y0 . (math-C-parse-bess)) | |
| 145 | ( y1 . (math-C-parse-bess)) | |
| 146 | ( tgamma . calcFunc-gamma ))) | |
| 147 | ||
| 148 | (defun math-C-parse-bess (f val) | |
| 149 | "Parse C's j0, j1, y0, y1 functions." | |
| 150 | (let ((args (math-read-expr-list))) | |
| 151 | (math-read-token) | |
| 152 | (append | |
| 153 | (cond ((eq val 'j0) '(calcFunc-besJ 0)) | |
| 154 | ((eq val 'j1) '(calcFunc-besJ 1)) | |
| 155 | ((eq val 'y0) '(calcFunc-besY 0)) | |
| 156 | ((eq val 'y1) '(calcFunc-besY 1))) | |
| 157 | args))) | |
| 158 | ||
| 159 | (defun math-C-parse-fma (f val) | |
| 160 | "Parse C's fma function fma(x,y,z) => (x * y + z)." | |
| 161 | (let ((args (math-read-expr-list))) | |
| 162 | (math-read-token) | |
| 163 | (list 'calcFunc-add | |
| 164 | (list 'calcFunc-mul | |
| 165 | (nth 0 args) | |
| 166 | (nth 1 args)) | |
| 167 | (nth 2 args)))) | |
| 168 | ||
| 136211a9 EZ |
169 | |
| 170 | (put 'c 'math-variable-table | |
| 171 | '( ( M_PI . var-pi ) | |
| bf77c646 | 172 | ( M_E . var-e ))) |
| 136211a9 EZ |
173 | |
| 174 | (put 'c 'math-vector-brackets "{}") | |
| 175 | ||
| 176 | (put 'c 'math-radix-formatter | |
| 177 | (function (lambda (r s) | |
| 178 | (if (= r 16) (format "0x%s" s) | |
| 179 | (if (= r 8) (format "0%s" s) | |
| 180 | (format "%d#%s" r s)))))) | |
| 181 | ||
| 7cf24610 JB |
182 | (put 'c 'math-compose-subscr |
| 183 | (function | |
| 184 | (lambda (a) | |
| 185 | (let ((args (cdr (cdr a)))) | |
| 186 | (list 'horiz | |
| 187 | (math-compose-expr (nth 1 a) 1000) | |
| 188 | "[" | |
| 189 | (math-compose-vector args ", " 0) | |
| 190 | "]"))))) | |
| 191 | ||
| 192 | (add-to-list 'calc-lang-slash-idiv 'c) | |
| 193 | (add-to-list 'calc-lang-allow-underscores 'c) | |
| 194 | (add-to-list 'calc-lang-c-type-hex 'c) | |
| 195 | (add-to-list 'calc-lang-brackets-are-subscripts 'c) | |
| 136211a9 EZ |
196 | |
| 197 | (defun calc-pascal-language (n) | |
| 198 | (interactive "P") | |
| 199 | (calc-wrapper | |
| 200 | (and n (setq n (prefix-numeric-value n))) | |
| 201 | (calc-set-language 'pascal n) | |
| 202 | (message (if (and n (/= n 0)) | |
| 203 | (if (> n 0) | |
| 3132f345 CW |
204 | "Pascal language mode (all uppercase)" |
| 205 | "Pascal language mode (all lowercase)") | |
| 206 | "Pascal language mode")))) | |
| 136211a9 EZ |
207 | |
| 208 | (put 'pascal 'math-oper-table | |
| 209 | '( ( "not" calcFunc-lnot -1 1000 ) | |
| 210 | ( "*" * 190 191 ) | |
| 211 | ( "/" / 190 191 ) | |
| 212 | ( "and" calcFunc-and 190 191 ) | |
| 213 | ( "div" calcFunc-idiv 190 191 ) | |
| 214 | ( "mod" % 190 191 ) | |
| 215 | ( "u+" ident -1 185 ) | |
| 216 | ( "u-" neg -1 185 ) | |
| 217 | ( "+" + 180 181 ) | |
| 218 | ( "-" - 180 181 ) | |
| 219 | ( "or" calcFunc-or 180 181 ) | |
| 220 | ( "xor" calcFunc-xor 180 181 ) | |
| 221 | ( "shl" calcFunc-lsh 180 181 ) | |
| 222 | ( "shr" calcFunc-rsh 180 181 ) | |
| 223 | ( "in" calcFunc-in 160 161 ) | |
| 224 | ( "<" calcFunc-lt 160 161 ) | |
| 225 | ( ">" calcFunc-gt 160 161 ) | |
| 226 | ( "<=" calcFunc-leq 160 161 ) | |
| 227 | ( ">=" calcFunc-geq 160 161 ) | |
| 228 | ( "=" calcFunc-eq 160 161 ) | |
| 229 | ( "<>" calcFunc-neq 160 161 ) | |
| 230 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 231 | ( "&&&" calcFunc-pand 80 81 ) | |
| 232 | ( "|||" calcFunc-por 75 76 ) | |
| 233 | ( ":=" calcFunc-assign 51 50 ) | |
| bf77c646 | 234 | ( "::" calcFunc-condition 45 46 ))) |
| 136211a9 EZ |
235 | |
| 236 | (put 'pascal 'math-input-filter 'calc-input-case-filter) | |
| 237 | (put 'pascal 'math-output-filter 'calc-output-case-filter) | |
| 238 | ||
| 239 | (put 'pascal 'math-radix-formatter | |
| 240 | (function (lambda (r s) | |
| 241 | (if (= r 16) (format "$%s" s) | |
| 242 | (format "%d#%s" r s))))) | |
| 243 | ||
| 7cf24610 JB |
244 | (put 'pascal 'math-lang-read-symbol |
| 245 | '((?\$ | |
| 246 | (eq (string-match | |
| ae6bc504 | 247 | "\\(\\$[0-9a-fA-F]+\\)\\($\\|[^0-9a-zA-Zα-ωΑ-Ω]\\)" |
| 7cf24610 JB |
248 | math-exp-str math-exp-pos) |
| 249 | math-exp-pos) | |
| 250 | (setq math-exp-token 'number | |
| 251 | math-expr-data (math-match-substring math-exp-str 1) | |
| 252 | math-exp-pos (match-end 1))))) | |
| 253 | ||
| 254 | (put 'pascal 'math-compose-subscr | |
| 255 | (function | |
| 256 | (lambda (a) | |
| 257 | (let ((args (cdr (cdr a)))) | |
| 258 | (while (eq (car-safe (nth 1 a)) 'calcFunc-subscr) | |
| 259 | (setq args (append (cdr (cdr (nth 1 a))) args) | |
| 260 | a (nth 1 a))) | |
| 261 | (list 'horiz | |
| 262 | (math-compose-expr (nth 1 a) 1000) | |
| 263 | "[" | |
| 264 | (math-compose-vector args ", " 0) | |
| 265 | "]"))))) | |
| 266 | ||
| 267 | (add-to-list 'calc-lang-allow-underscores 'pascal) | |
| 268 | (add-to-list 'calc-lang-brackets-are-subscripts 'pascal) | |
| 269 | ||
| 136211a9 EZ |
270 | (defun calc-input-case-filter (str) |
| 271 | (cond ((or (null calc-language-option) (= calc-language-option 0)) | |
| 272 | str) | |
| 273 | (t | |
| bf77c646 | 274 | (downcase str)))) |
| 136211a9 EZ |
275 | |
| 276 | (defun calc-output-case-filter (str) | |
| 277 | (cond ((or (null calc-language-option) (= calc-language-option 0)) | |
| 278 | str) | |
| 279 | ((> calc-language-option 0) | |
| 280 | (upcase str)) | |
| 281 | (t | |
| bf77c646 | 282 | (downcase str)))) |
| 136211a9 EZ |
283 | |
| 284 | ||
| 285 | (defun calc-fortran-language (n) | |
| 286 | (interactive "P") | |
| 287 | (calc-wrapper | |
| 288 | (and n (setq n (prefix-numeric-value n))) | |
| 289 | (calc-set-language 'fortran n) | |
| 290 | (message (if (and n (/= n 0)) | |
| 291 | (if (> n 0) | |
| 3132f345 CW |
292 | "FORTRAN language mode (all uppercase)" |
| 293 | "FORTRAN language mode (all lowercase)") | |
| 294 | "FORTRAN language mode")))) | |
| 136211a9 EZ |
295 | |
| 296 | (put 'fortran 'math-oper-table | |
| 297 | '( ( "u/" (math-parse-fortran-vector) -1 1 ) | |
| 298 | ( "/" (math-parse-fortran-vector-end) 1 -1 ) | |
| 299 | ( "**" ^ 201 200 ) | |
| 300 | ( "u+" ident -1 191 ) | |
| 301 | ( "u-" neg -1 191 ) | |
| 302 | ( "*" * 190 191 ) | |
| 303 | ( "/" / 190 191 ) | |
| 304 | ( "+" + 180 181 ) | |
| 305 | ( "-" - 180 181 ) | |
| 306 | ( ".LT." calcFunc-lt 160 161 ) | |
| 307 | ( ".GT." calcFunc-gt 160 161 ) | |
| 308 | ( ".LE." calcFunc-leq 160 161 ) | |
| 309 | ( ".GE." calcFunc-geq 160 161 ) | |
| 310 | ( ".EQ." calcFunc-eq 160 161 ) | |
| 311 | ( ".NE." calcFunc-neq 160 161 ) | |
| 312 | ( ".NOT." calcFunc-lnot -1 121 ) | |
| 313 | ( ".AND." calcFunc-land 110 111 ) | |
| 314 | ( ".OR." calcFunc-lor 100 101 ) | |
| 315 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 316 | ( "&&&" calcFunc-pand 80 81 ) | |
| 317 | ( "|||" calcFunc-por 75 76 ) | |
| 318 | ( "=" calcFunc-assign 51 50 ) | |
| 319 | ( ":=" calcFunc-assign 51 50 ) | |
| bf77c646 | 320 | ( "::" calcFunc-condition 45 46 ))) |
| 136211a9 EZ |
321 | |
| 322 | (put 'fortran 'math-vector-brackets "//") | |
| 323 | ||
| 324 | (put 'fortran 'math-function-table | |
| 325 | '( ( acos . calcFunc-arccos ) | |
| 326 | ( acosh . calcFunc-arccosh ) | |
| 327 | ( aimag . calcFunc-im ) | |
| 328 | ( aint . calcFunc-ftrunc ) | |
| 329 | ( asin . calcFunc-arcsin ) | |
| 330 | ( asinh . calcFunc-arcsinh ) | |
| 331 | ( atan . calcFunc-arctan ) | |
| 332 | ( atan2 . calcFunc-arctan2 ) | |
| 333 | ( atanh . calcFunc-arctanh ) | |
| 334 | ( conjg . calcFunc-conj ) | |
| 335 | ( log . calcFunc-ln ) | |
| 336 | ( nint . calcFunc-round ) | |
| a1506d29 | 337 | ( real . calcFunc-re ))) |
| 136211a9 EZ |
338 | |
| 339 | (put 'fortran 'math-input-filter 'calc-input-case-filter) | |
| 7cf24610 | 340 | |
| 136211a9 EZ |
341 | (put 'fortran 'math-output-filter 'calc-output-case-filter) |
| 342 | ||
| 7cf24610 JB |
343 | (put 'fortran 'math-lang-read-symbol |
| 344 | '((?\. | |
| ae6bc504 | 345 | (eq (string-match "\\.[a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω]?\\." |
| 7cf24610 JB |
346 | math-exp-str math-exp-pos) math-exp-pos) |
| 347 | (setq math-exp-token 'punc | |
| 348 | math-expr-data (upcase (math-match-substring math-exp-str 0)) | |
| 349 | math-exp-pos (match-end 0))))) | |
| 350 | ||
| 351 | (put 'fortran 'math-compose-subscr | |
| 352 | (function | |
| 353 | (lambda (a) | |
| 354 | (let ((args (cdr (cdr a)))) | |
| 355 | (while (eq (car-safe (nth 1 a)) 'calcFunc-subscr) | |
| 356 | (setq args (append (cdr (cdr (nth 1 a))) args) | |
| 357 | a (nth 1 a))) | |
| 358 | (list 'horiz | |
| 359 | (math-compose-expr (nth 1 a) 1000) | |
| 360 | "(" | |
| 361 | (math-compose-vector args ", " 0) | |
| 362 | ")"))))) | |
| 363 | ||
| 364 | (add-to-list 'calc-lang-slash-idiv 'fortran) | |
| 365 | (add-to-list 'calc-lang-allow-underscores 'fortran) | |
| 366 | (add-to-list 'calc-lang-parens-are-subscripts 'fortran) | |
| 367 | ||
| be19ef0b | 368 | ;; The next few variables are local to math-read-exprs in calc-aent.el |
| 0aba68f8 JB |
369 | ;; and math-read-expr in calc-ext.el, but are set in functions they call. |
| 370 | ||
| 371 | (defvar math-exp-token) | |
| 372 | (defvar math-expr-data) | |
| 373 | (defvar math-exp-old-pos) | |
| 374 | ||
| 3132f345 | 375 | (defvar math-parsing-fortran-vector nil) |
| 136211a9 EZ |
376 | (defun math-parse-fortran-vector (op) |
| 377 | (let ((math-parsing-fortran-vector '(end . "\000"))) | |
| 378 | (prog1 | |
| 379 | (math-read-brackets t "]") | |
| 679e2630 | 380 | (setq math-exp-token (car math-parsing-fortran-vector) |
| 54961aa0 | 381 | math-expr-data (cdr math-parsing-fortran-vector))))) |
| 136211a9 EZ |
382 | |
| 383 | (defun math-parse-fortran-vector-end (x op) | |
| 384 | (if math-parsing-fortran-vector | |
| 385 | (progn | |
| 679e2630 JB |
386 | (setq math-parsing-fortran-vector (cons math-exp-token math-expr-data) |
| 387 | math-exp-token 'end | |
| 54961aa0 | 388 | math-expr-data "\000") |
| 136211a9 | 389 | x) |
| bf77c646 | 390 | (throw 'syntax "Unmatched closing `/'"))) |
| 136211a9 EZ |
391 | |
| 392 | (defun math-parse-fortran-subscr (sym args) | |
| 393 | (setq sym (math-build-var-name sym)) | |
| 394 | (while args | |
| 395 | (setq sym (list 'calcFunc-subscr sym (car args)) | |
| 396 | args (cdr args))) | |
| bf77c646 | 397 | sym) |
| 136211a9 EZ |
398 | |
| 399 | ||
| 400 | (defun calc-tex-language (n) | |
| 401 | (interactive "P") | |
| 402 | (calc-wrapper | |
| 403 | (and n (setq n (prefix-numeric-value n))) | |
| 404 | (calc-set-language 'tex n) | |
| 61983af0 JB |
405 | (cond ((not n) |
| 406 | (message "TeX language mode")) | |
| 407 | ((= n 0) | |
| 408 | (message "TeX language mode with multiline matrices")) | |
| 409 | ((= n 1) | |
| 410 | (message "TeX language mode with \\hbox{func}(\\hbox{var})")) | |
| 411 | ((> n 1) | |
| be19ef0b | 412 | (message |
| 61983af0 JB |
413 | "TeX language mode with \\hbox{func}(\\hbox{var}) and multiline matrices")) |
| 414 | ((= n -1) | |
| 415 | (message "TeX language mode with \\func(\\hbox{var})")) | |
| 416 | ((< n -1) | |
| be19ef0b | 417 | (message |
| 61983af0 | 418 | "TeX language mode with \\func(\\hbox{var}) and multiline matrices"))))) |
| 136211a9 | 419 | |
| 2d3ce3f2 JB |
420 | (defun calc-latex-language (n) |
| 421 | (interactive "P") | |
| 422 | (calc-wrapper | |
| 423 | (and n (setq n (prefix-numeric-value n))) | |
| 424 | (calc-set-language 'latex n) | |
| 425 | (cond ((not n) | |
| 426 | (message "LaTeX language mode")) | |
| 427 | ((= n 0) | |
| 428 | (message "LaTeX language mode with multiline matrices")) | |
| 429 | ((= n 1) | |
| 430 | (message "LaTeX language mode with \\text{func}(\\text{var})")) | |
| 431 | ((> n 1) | |
| be19ef0b | 432 | (message |
| 2d3ce3f2 JB |
433 | "LaTeX language mode with \\text{func}(\\text{var}) and multiline matrices")) |
| 434 | ((= n -1) | |
| 435 | (message "LaTeX language mode with \\func(\\text{var})")) | |
| 436 | ((< n -1) | |
| be19ef0b | 437 | (message |
| 2d3ce3f2 JB |
438 | "LaTeX language mode with \\func(\\text{var}) and multiline matrices"))))) |
| 439 | ||
| c65d0380 JB |
440 | (put 'tex 'math-lang-name "TeX") |
| 441 | (put 'latex 'math-lang-name "LaTeX") | |
| 442 | ||
| 136211a9 | 443 | (put 'tex 'math-oper-table |
| ca54ae34 | 444 | '( ( "\\hat" calcFunc-hat -1 950 ) |
| 136211a9 EZ |
445 | ( "\\check" calcFunc-check -1 950 ) |
| 446 | ( "\\tilde" calcFunc-tilde -1 950 ) | |
| 447 | ( "\\acute" calcFunc-acute -1 950 ) | |
| 448 | ( "\\grave" calcFunc-grave -1 950 ) | |
| 449 | ( "\\dot" calcFunc-dot -1 950 ) | |
| 450 | ( "\\ddot" calcFunc-dotdot -1 950 ) | |
| 451 | ( "\\breve" calcFunc-breve -1 950 ) | |
| 452 | ( "\\bar" calcFunc-bar -1 950 ) | |
| 453 | ( "\\vec" calcFunc-Vec -1 950 ) | |
| 454 | ( "\\underline" calcFunc-under -1 950 ) | |
| 455 | ( "u|" calcFunc-abs -1 0 ) | |
| 456 | ( "|" closing 0 -1 ) | |
| 457 | ( "\\lfloor" calcFunc-floor -1 0 ) | |
| 458 | ( "\\rfloor" closing 0 -1 ) | |
| 459 | ( "\\lceil" calcFunc-ceil -1 0 ) | |
| 460 | ( "\\rceil" closing 0 -1 ) | |
| 461 | ( "\\pm" sdev 300 300 ) | |
| 462 | ( "!" calcFunc-fact 210 -1 ) | |
| 463 | ( "^" ^ 201 200 ) | |
| 464 | ( "_" calcFunc-subscr 201 200 ) | |
| ca54ae34 JB |
465 | ( "u+" ident -1 197 ) |
| 466 | ( "u-" neg -1 197 ) | |
| 136211a9 EZ |
467 | ( "\\times" * 191 190 ) |
| 468 | ( "*" * 191 190 ) | |
| 469 | ( "2x" * 191 190 ) | |
| 470 | ( "+" + 180 181 ) | |
| 471 | ( "-" - 180 181 ) | |
| 472 | ( "\\over" / 170 171 ) | |
| fda9b316 | 473 | ( "/" / 170 171 ) |
| 136211a9 EZ |
474 | ( "\\choose" calcFunc-choose 170 171 ) |
| 475 | ( "\\mod" % 170 171 ) | |
| 476 | ( "<" calcFunc-lt 160 161 ) | |
| 477 | ( ">" calcFunc-gt 160 161 ) | |
| 478 | ( "\\leq" calcFunc-leq 160 161 ) | |
| 479 | ( "\\geq" calcFunc-geq 160 161 ) | |
| 480 | ( "=" calcFunc-eq 160 161 ) | |
| 481 | ( "\\neq" calcFunc-neq 160 161 ) | |
| 482 | ( "\\ne" calcFunc-neq 160 161 ) | |
| 483 | ( "\\lnot" calcFunc-lnot -1 121 ) | |
| 484 | ( "\\land" calcFunc-land 110 111 ) | |
| 485 | ( "\\lor" calcFunc-lor 100 101 ) | |
| 486 | ( "?" (math-read-if) 91 90 ) | |
| 487 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 488 | ( "&&&" calcFunc-pand 80 81 ) | |
| 489 | ( "|||" calcFunc-por 75 76 ) | |
| 490 | ( "\\gets" calcFunc-assign 51 50 ) | |
| 491 | ( ":=" calcFunc-assign 51 50 ) | |
| 492 | ( "::" calcFunc-condition 45 46 ) | |
| 493 | ( "\\to" calcFunc-evalto 40 41 ) | |
| 494 | ( "\\to" calcFunc-evalto 40 -1 ) | |
| 495 | ( "=>" calcFunc-evalto 40 41 ) | |
| bf77c646 | 496 | ( "=>" calcFunc-evalto 40 -1 ))) |
| 136211a9 EZ |
497 | |
| 498 | (put 'tex 'math-function-table | |
| 499 | '( ( \\arccos . calcFunc-arccos ) | |
| 500 | ( \\arcsin . calcFunc-arcsin ) | |
| 501 | ( \\arctan . calcFunc-arctan ) | |
| 502 | ( \\arg . calcFunc-arg ) | |
| 503 | ( \\cos . calcFunc-cos ) | |
| 504 | ( \\cosh . calcFunc-cosh ) | |
| 671dfbd8 JB |
505 | ( \\cot . calcFunc-cot ) |
| 506 | ( \\coth . calcFunc-coth ) | |
| 507 | ( \\csc . calcFunc-csc ) | |
| 136211a9 EZ |
508 | ( \\det . calcFunc-det ) |
| 509 | ( \\exp . calcFunc-exp ) | |
| 510 | ( \\gcd . calcFunc-gcd ) | |
| 511 | ( \\ln . calcFunc-ln ) | |
| 512 | ( \\log . calcFunc-log10 ) | |
| 513 | ( \\max . calcFunc-max ) | |
| 514 | ( \\min . calcFunc-min ) | |
| 671dfbd8 | 515 | ( \\sec . calcFunc-sec ) |
| 136211a9 EZ |
516 | ( \\sin . calcFunc-sin ) |
| 517 | ( \\sinh . calcFunc-sinh ) | |
| 518 | ( \\sqrt . calcFunc-sqrt ) | |
| 671dfbd8 | 519 | ( \\tan . calcFunc-tan ) |
| 136211a9 EZ |
520 | ( \\tanh . calcFunc-tanh ) |
| 521 | ( \\phi . calcFunc-totient ) | |
| bf77c646 | 522 | ( \\mu . calcFunc-moebius ))) |
| 136211a9 | 523 | |
| 7cf24610 JB |
524 | (put 'tex 'math-special-function-table |
| 525 | '((calcFunc-sum . (math-compose-tex-sum "\\sum")) | |
| 526 | (calcFunc-prod . (math-compose-tex-sum "\\prod")) | |
| 91ca6606 | 527 | (calcFunc-sqrt . math-compose-tex-sqrt) |
| 7cf24610 JB |
528 | (intv . math-compose-tex-intv))) |
| 529 | ||
| 136211a9 | 530 | (put 'tex 'math-variable-table |
| be19ef0b | 531 | '( |
| eb8c8b04 JB |
532 | ;; The Greek letters |
| 533 | ( \\alpha . var-alpha ) | |
| 534 | ( \\beta . var-beta ) | |
| 535 | ( \\gamma . var-gamma ) | |
| 536 | ( \\Gamma . var-Gamma ) | |
| 537 | ( \\delta . var-delta ) | |
| 538 | ( \\Delta . var-Delta ) | |
| 539 | ( \\epsilon . var-epsilon ) | |
| 540 | ( \\varepsilon . var-varepsilon) | |
| 541 | ( \\zeta . var-zeta ) | |
| 542 | ( \\eta . var-eta ) | |
| 543 | ( \\theta . var-theta ) | |
| 544 | ( \\vartheta . var-vartheta ) | |
| 545 | ( \\Theta . var-Theta ) | |
| 546 | ( \\iota . var-iota ) | |
| 547 | ( \\kappa . var-kappa ) | |
| 548 | ( \\lambda . var-lambda ) | |
| 549 | ( \\Lambda . var-Lambda ) | |
| 550 | ( \\mu . var-mu ) | |
| 551 | ( \\nu . var-nu ) | |
| 552 | ( \\xi . var-xi ) | |
| 553 | ( \\Xi . var-Xi ) | |
| 554 | ( \\pi . var-pi ) | |
| 555 | ( \\varpi . var-varpi ) | |
| 556 | ( \\Pi . var-Pi ) | |
| 557 | ( \\rho . var-rho ) | |
| 558 | ( \\varrho . var-varrho ) | |
| 559 | ( \\sigma . var-sigma ) | |
| 560 | ( \\sigma . var-varsigma ) | |
| 561 | ( \\Sigma . var-Sigma ) | |
| 562 | ( \\tau . var-tau ) | |
| 563 | ( \\upsilon . var-upsilon ) | |
| 564 | ( \\Upsilon . var-Upsilon ) | |
| 565 | ( \\phi . var-phi ) | |
| 566 | ( \\varphi . var-varphi ) | |
| 567 | ( \\Phi . var-Phi ) | |
| 568 | ( \\chi . var-chi ) | |
| 569 | ( \\psi . var-psi ) | |
| 570 | ( \\Psi . var-Psi ) | |
| 571 | ( \\omega . var-omega ) | |
| 572 | ( \\Omega . var-Omega ) | |
| 1265829e JB |
573 | ;; Units |
| 574 | ( pt . var-texpt ) | |
| 575 | ( pc . var-texpc ) | |
| 576 | ( bp . var-texbp ) | |
| 577 | ( dd . var-texdd ) | |
| 578 | ( cc . var-texcc ) | |
| 579 | ( sp . var-texsp ) | |
| 580 | ( pint . var-pt ) | |
| 581 | ( parsec . var-pc) | |
| 582 | ||
| eb8c8b04 JB |
583 | ;; Others |
| 584 | ( \\ell . var-ell ) | |
| 585 | ( \\infty . var-inf ) | |
| 586 | ( \\infty . var-uinf ) | |
| 587 | ( \\sum . (math-parse-tex-sum calcFunc-sum) ) | |
| 588 | ( \\prod . (math-parse-tex-sum calcFunc-prod) ))) | |
| 136211a9 | 589 | |
| 7cf24610 JB |
590 | (put 'tex 'math-punc-table |
| 591 | '((?\{ . ?\() | |
| 592 | (?\} . ?\)) | |
| 593 | (?\& . ?\,))) | |
| 594 | ||
| 136211a9 EZ |
595 | (put 'tex 'math-complex-format 'i) |
| 596 | ||
| 7cf24610 JB |
597 | (put 'tex 'math-input-filter 'math-tex-input-filter) |
| 598 | ||
| 599 | (put 'tex 'math-matrix-formatter | |
| 600 | (function | |
| 601 | (lambda (a) | |
| 602 | (if (and (integerp calc-language-option) | |
| 603 | (or (= calc-language-option 0) | |
| 604 | (> calc-language-option 1) | |
| 605 | (< calc-language-option -1))) | |
| 606 | (append '(vleft 0 "\\matrix{") | |
| 607 | (math-compose-tex-matrix (cdr a)) | |
| 608 | '("}")) | |
| 609 | (append '(horiz "\\matrix{ ") | |
| 610 | (math-compose-tex-matrix (cdr a)) | |
| 611 | '(" }")))))) | |
| 612 | ||
| 613 | (put 'tex 'math-var-formatter 'math-compose-tex-var) | |
| 614 | ||
| 615 | (put 'tex 'math-func-formatter 'math-compose-tex-func) | |
| 616 | ||
| 617 | (put 'tex 'math-dots "\\ldots") | |
| 618 | ||
| 619 | (put 'tex 'math-big-parens '("\\left( " . " \\right)")) | |
| 620 | ||
| 621 | (put 'tex 'math-evalto '("\\evalto " . " \\to ")) | |
| 622 | ||
| 623 | (defconst math-tex-ignore-words | |
| 624 | '( ("\\hbox") ("\\mbox") ("\\text") ("\\left") ("\\right") | |
| 625 | ("\\,") ("\\>") ("\\:") ("\\;") ("\\!") ("\\ ") | |
| 626 | ("\\quad") ("\\qquad") ("\\hfil") ("\\hfill") | |
| 627 | ("\\displaystyle") ("\\textstyle") ("\\dsize") ("\\tsize") | |
| 628 | ("\\scriptstyle") ("\\scriptscriptstyle") ("\\ssize") ("\\sssize") | |
| 629 | ("\\rm") ("\\bf") ("\\it") ("\\sl") | |
| 630 | ("\\roman") ("\\bold") ("\\italic") ("\\slanted") | |
| 631 | ("\\cal") ("\\mit") ("\\Cal") ("\\Bbb") ("\\frak") ("\\goth") | |
| 632 | ("\\evalto") | |
| 633 | ("\\matrix" mat) ("\\bmatrix" mat) ("\\pmatrix" mat) | |
| 634 | ("\\begin" begenv) | |
| 635 | ("\\cr" punc ";") ("\\\\" punc ";") ("\\*" punc "*") | |
| 636 | ("\\{" punc "[") ("\\}" punc "]"))) | |
| 637 | ||
| 638 | (defconst math-latex-ignore-words | |
| 639 | (append math-tex-ignore-words | |
| 640 | '(("\\begin" begenv)))) | |
| 641 | ||
| 642 | (put 'tex 'math-lang-read-symbol | |
| 643 | '((?\\ | |
| 644 | (< math-exp-pos (1- (length math-exp-str))) | |
| 645 | (progn | |
| ae6bc504 | 646 | (or (string-match "\\\\hbox *{\\([a-zA-Zα-ωΑ-Ω0-9]+\\)}" |
| 7cf24610 | 647 | math-exp-str math-exp-pos) |
| ae6bc504 | 648 | (string-match "\\(\\\\\\([a-zA-Zα-ωΑ-Ω]+\\|[^a-zA-Zα-ωΑ-Ω]\\)\\)" |
| 7cf24610 JB |
649 | math-exp-str math-exp-pos)) |
| 650 | (setq math-exp-token 'symbol | |
| 651 | math-exp-pos (match-end 0) | |
| 652 | math-expr-data (math-restore-dashes | |
| 653 | (math-match-substring math-exp-str 1))) | |
| 654 | (let ((code (assoc math-expr-data math-latex-ignore-words))) | |
| 655 | (cond ((null code)) | |
| 656 | ((null (cdr code)) | |
| 657 | (math-read-token)) | |
| 658 | ((eq (nth 1 code) 'punc) | |
| 659 | (setq math-exp-token 'punc | |
| 660 | math-expr-data (nth 2 code))) | |
| 661 | ((and (eq (nth 1 code) 'mat) | |
| 662 | (string-match " *{" math-exp-str math-exp-pos)) | |
| 663 | (setq math-exp-pos (match-end 0) | |
| 664 | math-exp-token 'punc | |
| 665 | math-expr-data "[") | |
| 666 | (let ((right (string-match "}" math-exp-str math-exp-pos))) | |
| 667 | (and right | |
| 668 | (setq math-exp-str (copy-sequence math-exp-str)) | |
| 669 | (aset math-exp-str right ?\])))))))))) | |
| 670 | ||
| 671 | (defun math-compose-tex-matrix (a &optional ltx) | |
| 672 | (if (cdr a) | |
| be19ef0b | 673 | (cons (append (math-compose-vector (cdr (car a)) " & " 0) |
| 7cf24610 JB |
674 | (if ltx '(" \\\\ ") '(" \\cr "))) |
| 675 | (math-compose-tex-matrix (cdr a) ltx)) | |
| 676 | (list (math-compose-vector (cdr (car a)) " & " 0)))) | |
| 677 | ||
| 678 | (defun math-compose-tex-sum (a fn) | |
| 679 | (cond | |
| 680 | ((nth 4 a) | |
| 681 | (list 'horiz (nth 1 fn) | |
| 682 | "_{" (math-compose-expr (nth 2 a) 0) | |
| 683 | "=" (math-compose-expr (nth 3 a) 0) | |
| 684 | "}^{" (math-compose-expr (nth 4 a) 0) | |
| 685 | "}{" (math-compose-expr (nth 1 a) 0) "}")) | |
| 686 | ((nth 3 a) | |
| 687 | (list 'horiz (nth 1 fn) | |
| 688 | "_{" (math-compose-expr (nth 2 a) 0) | |
| 689 | "=" (math-compose-expr (nth 3 a) 0) | |
| 690 | "}{" (math-compose-expr (nth 1 a) 0) "}")) | |
| 691 | (t | |
| 692 | (list 'horiz (nth 1 fn) | |
| 693 | "_{" (math-compose-expr (nth 2 a) 0) | |
| 694 | "}{" (math-compose-expr (nth 1 a) 0) "}")))) | |
| 695 | ||
| 136211a9 EZ |
696 | (defun math-parse-tex-sum (f val) |
| 697 | (let (low high save) | |
| 54961aa0 | 698 | (or (equal math-expr-data "_") (throw 'syntax "Expected `_'")) |
| 136211a9 | 699 | (math-read-token) |
| 679e2630 | 700 | (setq save math-exp-old-pos) |
| 136211a9 EZ |
701 | (setq low (math-read-factor)) |
| 702 | (or (eq (car-safe low) 'calcFunc-eq) | |
| 703 | (progn | |
| 679e2630 | 704 | (setq math-exp-old-pos (1+ save)) |
| 136211a9 | 705 | (throw 'syntax "Expected equation"))) |
| 54961aa0 | 706 | (or (equal math-expr-data "^") (throw 'syntax "Expected `^'")) |
| 136211a9 EZ |
707 | (math-read-token) |
| 708 | (setq high (math-read-factor)) | |
| bf77c646 | 709 | (list (nth 2 f) (math-read-factor) (nth 1 low) (nth 2 low) high))) |
| 136211a9 EZ |
710 | |
| 711 | (defun math-tex-input-filter (str) ; allow parsing of 123\,456\,789. | |
| 712 | (while (string-match "[0-9]\\\\,[0-9]" str) | |
| 713 | (setq str (concat (substring str 0 (1+ (match-beginning 0))) | |
| 714 | (substring str (1- (match-end 0)))))) | |
| bf77c646 | 715 | str) |
| 7cf24610 | 716 | |
| 91ca6606 JB |
717 | (defun math-compose-tex-sqrt (a) |
| 718 | (list 'horiz | |
| 719 | "\\sqrt{" | |
| 720 | (math-compose-expr (nth 1 a) 0) | |
| 721 | "}")) | |
| 7cf24610 JB |
722 | |
| 723 | (defun math-compose-tex-intv (a) | |
| 724 | (list 'horiz | |
| 725 | (if (memq (nth 1 a) '(0 1)) "(" "[") | |
| 726 | (math-compose-expr (nth 2 a) 0) | |
| 727 | " \\ldots " | |
| 728 | (math-compose-expr (nth 3 a) 0) | |
| 729 | (if (memq (nth 1 a) '(0 2)) ")" "]"))) | |
| 730 | ||
| 3ae7df79 | 731 | (defun math-compose-tex-var (a prec) |
| 7cf24610 JB |
732 | (if (and calc-language-option |
| 733 | (not (= calc-language-option 0)) | |
| ae6bc504 | 734 | (string-match "\\`[a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω0-9]+\\'" |
| 7cf24610 JB |
735 | (symbol-name (nth 1 a)))) |
| 736 | (if (eq calc-language 'latex) | |
| 737 | (format "\\text{%s}" (symbol-name (nth 1 a))) | |
| 738 | (format "\\hbox{%s}" (symbol-name (nth 1 a)))) | |
| 3ae7df79 | 739 | (math-compose-var a))) |
| 7cf24610 JB |
740 | |
| 741 | (defun math-compose-tex-func (func a) | |
| 742 | (let (left right) | |
| 743 | (if (and calc-language-option | |
| 744 | (not (= calc-language-option 0)) | |
| ae6bc504 | 745 | (string-match "\\`[a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω0-9]+\\'" func)) |
| 7cf24610 JB |
746 | (if (< (prefix-numeric-value calc-language-option) 0) |
| 747 | (setq func (format "\\%s" func)) | |
| 748 | (setq func (if (eq calc-language 'latex) | |
| 749 | (format "\\text{%s}" func) | |
| 750 | (format "\\hbox{%s}" func))))) | |
| 751 | (cond ((or (> (length a) 2) | |
| 752 | (not (math-tex-expr-is-flat (nth 1 a)))) | |
| 753 | (setq left "\\left( " | |
| 754 | right " \\right)")) | |
| 755 | ((and (eq (aref func 0) ?\\) | |
| 756 | (not (or | |
| 757 | (string-match "\\hbox{" func) | |
| 758 | (string-match "\\text{" func))) | |
| 759 | (= (length a) 2) | |
| 760 | (or (Math-realp (nth 1 a)) | |
| 761 | (memq (car (nth 1 a)) '(var *)))) | |
| 762 | (setq left "{" right "}")) | |
| 763 | (t (setq left calc-function-open | |
| 764 | right calc-function-close))) | |
| be19ef0b | 765 | (list 'horiz func |
| 7cf24610 JB |
766 | left |
| 767 | (math-compose-vector (cdr a) ", " 0) | |
| 768 | right))) | |
| 136211a9 | 769 | |
| 2d3ce3f2 | 770 | (put 'latex 'math-oper-table |
| 62a54f6c JB |
771 | (append (get 'tex 'math-oper-table) |
| 772 | '(( "\\Hat" calcFunc-Hat -1 950 ) | |
| 773 | ( "\\Check" calcFunc-Check -1 950 ) | |
| 774 | ( "\\Tilde" calcFunc-Tilde -1 950 ) | |
| 775 | ( "\\Acute" calcFunc-Acute -1 950 ) | |
| 776 | ( "\\Grave" calcFunc-Grave -1 950 ) | |
| 777 | ( "\\Dot" calcFunc-Dot -1 950 ) | |
| 778 | ( "\\Ddot" calcFunc-Dotdot -1 950 ) | |
| 779 | ( "\\Breve" calcFunc-Breve -1 950 ) | |
| 780 | ( "\\Bar" calcFunc-Bar -1 950 ) | |
| 781 | ( "\\Vec" calcFunc-VEC -1 950 ) | |
| 782 | ( "\\dddot" calcFunc-dddot -1 950 ) | |
| 783 | ( "\\ddddot" calcFunc-ddddot -1 950 ) | |
| fda9b316 | 784 | ( "\\div" / 170 171 ) |
| 62a54f6c JB |
785 | ( "\\le" calcFunc-leq 160 161 ) |
| 786 | ( "\\leqq" calcFunc-leq 160 161 ) | |
| 787 | ( "\\leqsland" calcFunc-leq 160 161 ) | |
| 788 | ( "\\ge" calcFunc-geq 160 161 ) | |
| 789 | ( "\\geqq" calcFunc-geq 160 161 ) | |
| 790 | ( "\\geqslant" calcFunc-geq 160 161 ) | |
| 791 | ( "=" calcFunc-eq 160 161 ) | |
| 792 | ( "\\neq" calcFunc-neq 160 161 ) | |
| 793 | ( "\\ne" calcFunc-neq 160 161 ) | |
| 794 | ( "\\lnot" calcFunc-lnot -1 121 ) | |
| 795 | ( "\\land" calcFunc-land 110 111 ) | |
| 796 | ( "\\lor" calcFunc-lor 100 101 ) | |
| 797 | ( "?" (math-read-if) 91 90 ) | |
| 798 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 799 | ( "&&&" calcFunc-pand 80 81 ) | |
| 800 | ( "|||" calcFunc-por 75 76 ) | |
| 801 | ( "\\gets" calcFunc-assign 51 50 ) | |
| 802 | ( ":=" calcFunc-assign 51 50 ) | |
| 803 | ( "::" calcFunc-condition 45 46 ) | |
| 804 | ( "\\to" calcFunc-evalto 40 41 ) | |
| 805 | ( "\\to" calcFunc-evalto 40 -1 ) | |
| 806 | ( "=>" calcFunc-evalto 40 41 ) | |
| 807 | ( "=>" calcFunc-evalto 40 -1 )))) | |
| 2d3ce3f2 JB |
808 | |
| 809 | (put 'latex 'math-function-table | |
| 62a54f6c JB |
810 | (append |
| 811 | (get 'tex 'math-function-table) | |
| 7592e970 JB |
812 | '(( \\frac . (math-latex-parse-frac)) |
| 813 | ( \\tfrac . (math-latex-parse-frac)) | |
| 814 | ( \\dfrac . (math-latex-parse-frac)) | |
| 815 | ( \\binom . (math-latex-parse-two-args calcFunc-choose)) | |
| 816 | ( \\tbinom . (math-latex-parse-two-args calcFunc-choose)) | |
| 817 | ( \\dbinom . (math-latex-parse-two-args calcFunc-choose)) | |
| 62a54f6c JB |
818 | ( \\phi . calcFunc-totient ) |
| 819 | ( \\mu . calcFunc-moebius )))) | |
| 2d3ce3f2 JB |
820 | |
| 821 | (put 'latex 'math-special-function-table | |
| 7cf24610 JB |
822 | '((/ . (math-compose-latex-frac "\\frac")) |
| 823 | (calcFunc-choose . (math-compose-latex-frac "\\binom")) | |
| 824 | (calcFunc-sum . (math-compose-tex-sum "\\sum")) | |
| 825 | (calcFunc-prod . (math-compose-tex-sum "\\prod")) | |
| 91ca6606 | 826 | (calcFunc-sqrt . math-compose-tex-sqrt) |
| 7cf24610 | 827 | (intv . math-compose-tex-intv))) |
| 2d3ce3f2 JB |
828 | |
| 829 | (put 'latex 'math-variable-table | |
| 62a54f6c | 830 | (get 'tex 'math-variable-table)) |
| 2d3ce3f2 | 831 | |
| 7cf24610 JB |
832 | (put 'latex 'math-punc-table |
| 833 | '((?\{ . ?\() | |
| 834 | (?\} . ?\)) | |
| 835 | (?\& . ?\,))) | |
| 2d3ce3f2 | 836 | |
| 7cf24610 | 837 | (put 'latex 'math-complex-format 'i) |
| 7592e970 | 838 | |
| 7cf24610 JB |
839 | (put 'latex 'math-matrix-formatter |
| 840 | (function | |
| 841 | (lambda (a) | |
| 842 | (if (and (integerp calc-language-option) | |
| 843 | (or (= calc-language-option 0) | |
| 844 | (> calc-language-option 1) | |
| 845 | (< calc-language-option -1))) | |
| 846 | (append '(vleft 0 "\\begin{pmatrix}") | |
| 847 | (math-compose-tex-matrix (cdr a) t) | |
| 848 | '("\\end{pmatrix}")) | |
| 849 | (append '(horiz "\\begin{pmatrix} ") | |
| 850 | (math-compose-tex-matrix (cdr a) t) | |
| 851 | '(" \\end{pmatrix}")))))) | |
| 852 | ||
| 853 | (put 'latex 'math-var-formatter 'math-compose-tex-var) | |
| 854 | ||
| 855 | (put 'latex 'math-func-formatter 'math-compose-tex-func) | |
| 856 | ||
| 857 | (put 'latex 'math-dots "\\ldots") | |
| 858 | ||
| 859 | (put 'latex 'math-big-parens '("\\left( " . " \\right)")) | |
| 860 | ||
| 861 | (put 'latex 'math-evalto '("\\evalto " . " \\to ")) | |
| 862 | ||
| 863 | (put 'latex 'math-lang-read-symbol | |
| 864 | '((?\\ | |
| 865 | (< math-exp-pos (1- (length math-exp-str))) | |
| 866 | (progn | |
| ae6bc504 | 867 | (or (string-match "\\\\hbox *{\\([a-zA-Zα-ωΑ-Ω0-9]+\\)}" |
| 7cf24610 | 868 | math-exp-str math-exp-pos) |
| ae6bc504 | 869 | (string-match "\\\\text *{\\([a-zA-Zα-ωΑ-Ω0-9]+\\)}" |
| 7cf24610 | 870 | math-exp-str math-exp-pos) |
| ae6bc504 | 871 | (string-match "\\(\\\\\\([a-zA-Zα-ωΑ-Ω]+\\|[^a-zA-Zα-ωΑ-Ω]\\)\\)" |
| 7cf24610 JB |
872 | math-exp-str math-exp-pos)) |
| 873 | (setq math-exp-token 'symbol | |
| 874 | math-exp-pos (match-end 0) | |
| 875 | math-expr-data (math-restore-dashes | |
| 876 | (math-match-substring math-exp-str 1))) | |
| 877 | (let ((code (assoc math-expr-data math-tex-ignore-words)) | |
| 878 | envname) | |
| 879 | (cond ((null code)) | |
| 880 | ((null (cdr code)) | |
| 881 | (math-read-token)) | |
| 882 | ((eq (nth 1 code) 'punc) | |
| 883 | (setq math-exp-token 'punc | |
| 884 | math-expr-data (nth 2 code))) | |
| 885 | ((and (eq (nth 1 code) 'begenv) | |
| 886 | (string-match " *{\\([^}]*\\)}" math-exp-str math-exp-pos)) | |
| 887 | (setq math-exp-pos (match-end 0) | |
| 888 | envname (match-string 1 math-exp-str) | |
| 889 | math-exp-token 'punc | |
| 890 | math-expr-data "[") | |
| 891 | (cond ((or (string= envname "matrix") | |
| 892 | (string= envname "bmatrix") | |
| 893 | (string= envname "smallmatrix") | |
| 894 | (string= envname "pmatrix")) | |
| 895 | (if (string-match (concat "\\\\end{" envname "}") | |
| 896 | math-exp-str math-exp-pos) | |
| 897 | (setq math-exp-str | |
| 898 | (replace-match "]" t t math-exp-str)) | |
| 899 | (error "%s" (concat "No closing \\end{" envname "}")))))) | |
| 900 | ((and (eq (nth 1 code) 'mat) | |
| 901 | (string-match " *{" math-exp-str math-exp-pos)) | |
| 902 | (setq math-exp-pos (match-end 0) | |
| 903 | math-exp-token 'punc | |
| 904 | math-expr-data "[") | |
| 905 | (let ((right (string-match "}" math-exp-str math-exp-pos))) | |
| 906 | (and right | |
| 907 | (setq math-exp-str (copy-sequence math-exp-str)) | |
| 908 | (aset math-exp-str right ?\])))))))))) | |
| be19ef0b | 909 | |
| 2d3ce3f2 JB |
910 | (defun math-latex-parse-frac (f val) |
| 911 | (let (numer denom) | |
| 7592e970 JB |
912 | (setq numer (car (math-read-expr-list))) |
| 913 | (math-read-token) | |
| 914 | (setq denom (math-read-factor)) | |
| 915 | (if (and (Math-num-integerp numer) | |
| 916 | (Math-num-integerp denom)) | |
| 917 | (list 'frac numer denom) | |
| 918 | (list '/ numer denom)))) | |
| 919 | ||
| 920 | (defun math-latex-parse-two-args (f val) | |
| 921 | (let (first second) | |
| 922 | (setq first (car (math-read-expr-list))) | |
| 2d3ce3f2 | 923 | (math-read-token) |
| 7592e970 JB |
924 | (setq second (math-read-factor)) |
| 925 | (list (nth 2 f) first second))) | |
| 2d3ce3f2 | 926 | |
| 7cf24610 | 927 | (defun math-compose-latex-frac (a fn) |
| 2d3ce3f2 JB |
928 | (list 'horiz (nth 1 fn) "{" (math-compose-expr (nth 1 a) -1) |
| 929 | "}{" | |
| 930 | (math-compose-expr (nth 2 a) -1) | |
| 931 | "}")) | |
| 932 | ||
| cfa08316 | 933 | (put 'latex 'math-input-filter 'math-tex-input-filter) |
| 136211a9 EZ |
934 | |
| 935 | (defun calc-eqn-language (n) | |
| 936 | (interactive "P") | |
| 937 | (calc-wrapper | |
| 938 | (calc-set-language 'eqn) | |
| 3132f345 | 939 | (message "Eqn language mode"))) |
| 136211a9 EZ |
940 | |
| 941 | (put 'eqn 'math-oper-table | |
| ca54ae34 | 942 | '( ( "prime" (math-parse-eqn-prime) 950 -1 ) |
| 136211a9 EZ |
943 | ( "prime" calcFunc-Prime 950 -1 ) |
| 944 | ( "dot" calcFunc-dot 950 -1 ) | |
| 945 | ( "dotdot" calcFunc-dotdot 950 -1 ) | |
| 946 | ( "hat" calcFunc-hat 950 -1 ) | |
| 947 | ( "tilde" calcFunc-tilde 950 -1 ) | |
| 948 | ( "vec" calcFunc-Vec 950 -1 ) | |
| 949 | ( "dyad" calcFunc-dyad 950 -1 ) | |
| 950 | ( "bar" calcFunc-bar 950 -1 ) | |
| 951 | ( "under" calcFunc-under 950 -1 ) | |
| 952 | ( "sub" calcFunc-subscr 931 930 ) | |
| 953 | ( "sup" ^ 921 920 ) | |
| 954 | ( "sqrt" calcFunc-sqrt -1 910 ) | |
| 955 | ( "over" / 900 901 ) | |
| 956 | ( "u|" calcFunc-abs -1 0 ) | |
| 957 | ( "|" closing 0 -1 ) | |
| 958 | ( "left floor" calcFunc-floor -1 0 ) | |
| 959 | ( "right floor" closing 0 -1 ) | |
| 960 | ( "left ceil" calcFunc-ceil -1 0 ) | |
| 961 | ( "right ceil" closing 0 -1 ) | |
| 962 | ( "+-" sdev 300 300 ) | |
| 963 | ( "!" calcFunc-fact 210 -1 ) | |
| ca54ae34 JB |
964 | ( "u+" ident -1 197 ) |
| 965 | ( "u-" neg -1 197 ) | |
| 136211a9 EZ |
966 | ( "times" * 191 190 ) |
| 967 | ( "*" * 191 190 ) | |
| 968 | ( "2x" * 191 190 ) | |
| 969 | ( "/" / 180 181 ) | |
| 970 | ( "%" % 180 181 ) | |
| 971 | ( "+" + 170 171 ) | |
| 972 | ( "-" - 170 171 ) | |
| 973 | ( "<" calcFunc-lt 160 161 ) | |
| 974 | ( ">" calcFunc-gt 160 161 ) | |
| 975 | ( "<=" calcFunc-leq 160 161 ) | |
| 976 | ( ">=" calcFunc-geq 160 161 ) | |
| 977 | ( "=" calcFunc-eq 160 161 ) | |
| 978 | ( "==" calcFunc-eq 160 161 ) | |
| 979 | ( "!=" calcFunc-neq 160 161 ) | |
| 980 | ( "u!" calcFunc-lnot -1 121 ) | |
| 981 | ( "&&" calcFunc-land 110 111 ) | |
| 982 | ( "||" calcFunc-lor 100 101 ) | |
| 983 | ( "?" (math-read-if) 91 90 ) | |
| 984 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 985 | ( "&&&" calcFunc-pand 80 81 ) | |
| 986 | ( "|||" calcFunc-por 75 76 ) | |
| 987 | ( "<-" calcFunc-assign 51 50 ) | |
| 988 | ( ":=" calcFunc-assign 51 50 ) | |
| 989 | ( "::" calcFunc-condition 45 46 ) | |
| 990 | ( "->" calcFunc-evalto 40 41 ) | |
| 991 | ( "->" calcFunc-evalto 40 -1 ) | |
| 992 | ( "=>" calcFunc-evalto 40 41 ) | |
| bf77c646 | 993 | ( "=>" calcFunc-evalto 40 -1 ))) |
| 136211a9 EZ |
994 | |
| 995 | (put 'eqn 'math-function-table | |
| 996 | '( ( arc\ cos . calcFunc-arccos ) | |
| 997 | ( arc\ cosh . calcFunc-arccosh ) | |
| 998 | ( arc\ sin . calcFunc-arcsin ) | |
| 999 | ( arc\ sinh . calcFunc-arcsinh ) | |
| 1000 | ( arc\ tan . calcFunc-arctan ) | |
| 1001 | ( arc\ tanh . calcFunc-arctanh ) | |
| 1002 | ( GAMMA . calcFunc-gamma ) | |
| 1003 | ( phi . calcFunc-totient ) | |
| 1004 | ( mu . calcFunc-moebius ) | |
| bf77c646 | 1005 | ( matrix . (math-parse-eqn-matrix) ))) |
| 136211a9 | 1006 | |
| 7cf24610 JB |
1007 | (put 'eqn 'math-special-function-table |
| 1008 | '((intv . math-compose-eqn-intv))) | |
| 1009 | ||
| 1010 | (put 'eqn 'math-punc-table | |
| 1011 | '((?\{ . ?\() | |
| 1012 | (?\} . ?\)))) | |
| 1013 | ||
| 136211a9 | 1014 | (put 'eqn 'math-variable-table |
| bf77c646 | 1015 | '( ( inf . var-uinf ))) |
| 136211a9 EZ |
1016 | |
| 1017 | (put 'eqn 'math-complex-format 'i) | |
| 1018 | ||
| 7cf24610 JB |
1019 | (put 'eqn 'math-big-parens '("{left ( " . " right )}")) |
| 1020 | ||
| 1021 | (put 'eqn 'math-evalto '("evalto " . " -> ")) | |
| 1022 | ||
| 1023 | (put 'eqn 'math-matrix-formatter | |
| 1024 | (function | |
| 1025 | (lambda (a) | |
| 1026 | (append '(horiz "matrix { ") | |
| 1027 | (math-compose-eqn-matrix | |
| 1028 | (cdr (math-transpose a))) | |
| 1029 | '("}"))))) | |
| 1030 | ||
| be19ef0b | 1031 | (put 'eqn 'math-var-formatter |
| 7cf24610 | 1032 | (function |
| 3ae7df79 JB |
1033 | (lambda (a prec) |
| 1034 | (let (v) | |
| 1035 | (if (and math-compose-hash-args | |
| 1036 | (let ((p calc-arg-values)) | |
| 1037 | (setq v 1) | |
| 1038 | (while (and p (not (equal (car p) a))) | |
| 1039 | (setq p (and (eq math-compose-hash-args t) (cdr p)) | |
| 1040 | v (1+ v))) | |
| 1041 | p)) | |
| 1042 | (if (eq math-compose-hash-args 1) | |
| 1043 | "#" | |
| 1044 | (format "#%d" v)) | |
| 1045 | (if (string-match ".'\\'" (symbol-name (nth 2 a))) | |
| 1046 | (math-compose-expr | |
| 1047 | (list 'calcFunc-Prime | |
| 1048 | (list | |
| 1049 | 'var | |
| 1050 | (intern (substring (symbol-name (nth 1 a)) 0 -1)) | |
| 1051 | (intern (substring (symbol-name (nth 2 a)) 0 -1)))) | |
| 1052 | prec) | |
| 1053 | (symbol-name (nth 1 a)))))))) | |
| be19ef0b | 1054 | |
| 7cf24610 JB |
1055 | (defconst math-eqn-special-funcs |
| 1056 | '( calcFunc-log | |
| 1057 | calcFunc-ln calcFunc-exp | |
| 1058 | calcFunc-sin calcFunc-cos calcFunc-tan | |
| 1059 | calcFunc-sec calcFunc-csc calcFunc-cot | |
| 1060 | calcFunc-sinh calcFunc-cosh calcFunc-tanh | |
| 1061 | calcFunc-sech calcFunc-csch calcFunc-coth | |
| 1062 | calcFunc-arcsin calcFunc-arccos calcFunc-arctan | |
| 1063 | calcFunc-arcsinh calcFunc-arccosh calcFunc-arctanh)) | |
| 1064 | ||
| be19ef0b | 1065 | (put 'eqn 'math-func-formatter |
| 7cf24610 JB |
1066 | (function |
| 1067 | (lambda (func a) | |
| 1068 | (let (left right) | |
| 1069 | (if (string-match "[^']'+\\'" func) | |
| 1070 | (let ((n (- (length func) (match-beginning 0) 1))) | |
| 1071 | (setq func (substring func 0 (- n))) | |
| 1072 | (while (>= (setq n (1- n)) 0) | |
| 1073 | (setq func (concat func " prime"))))) | |
| 1074 | (cond ((or (> (length a) 2) | |
| 1075 | (not (math-tex-expr-is-flat (nth 1 a)))) | |
| 1076 | (setq left "{left ( " | |
| 1077 | right " right )}")) | |
| be19ef0b GM |
1078 | |
| 1079 | ((and | |
| 7cf24610 JB |
1080 | (memq (car a) math-eqn-special-funcs) |
| 1081 | (= (length a) 2) | |
| 1082 | (or (Math-realp (nth 1 a)) | |
| 1083 | (memq (car (nth 1 a)) '(var *)))) | |
| 1084 | (setq left "~{" right "}")) | |
| 1085 | (t | |
| 1086 | (setq left " ( " | |
| 1087 | right " )"))) | |
| 1088 | (list 'horiz func left | |
| 1089 | (math-compose-vector (cdr a) " , " 0) | |
| 1090 | right))))) | |
| 1091 | ||
| 1092 | (put 'eqn 'math-lang-read-symbol | |
| 1093 | '((?\" | |
| 1094 | (string-match "\\(\"\\([^\"\\]\\|\\\\.\\)*\\)\\(\"\\|\\'\\)" | |
| 1095 | math-exp-str math-exp-pos) | |
| 1096 | (progn | |
| 1097 | (setq math-exp-str (copy-sequence math-exp-str)) | |
| 1098 | (aset math-exp-str (match-beginning 1) ?\{) | |
| 1099 | (if (< (match-end 1) (length math-exp-str)) | |
| 1100 | (aset math-exp-str (match-end 1) ?\})) | |
| 1101 | (math-read-token))))) | |
| 1102 | ||
| 1103 | (defconst math-eqn-ignore-words | |
| 1104 | '( ("roman") ("bold") ("italic") ("mark") ("lineup") ("evalto") | |
| 1105 | ("left" ("floor") ("ceil")) | |
| 1106 | ("right" ("floor") ("ceil")) | |
| 1107 | ("arc" ("sin") ("cos") ("tan") ("sinh") ("cosh") ("tanh")) | |
| 1108 | ("size" n) ("font" n) ("fwd" n) ("back" n) ("up" n) ("down" n) | |
| 1109 | ("above" punc ","))) | |
| 1110 | ||
| 1111 | (put 'eqn 'math-lang-adjust-words | |
| be19ef0b | 1112 | (function |
| 7cf24610 JB |
1113 | (lambda () |
| 1114 | (let ((code (assoc math-expr-data math-eqn-ignore-words))) | |
| 1115 | (cond ((null code)) | |
| 1116 | ((null (cdr code)) | |
| 1117 | (math-read-token)) | |
| 1118 | ((consp (nth 1 code)) | |
| 1119 | (math-read-token) | |
| 1120 | (if (assoc math-expr-data (cdr code)) | |
| 1121 | (setq math-expr-data (format "%s %s" | |
| 1122 | (car code) math-expr-data)))) | |
| 1123 | ((eq (nth 1 code) 'punc) | |
| 1124 | (setq math-exp-token 'punc | |
| 1125 | math-expr-data (nth 2 code))) | |
| 1126 | (t | |
| 1127 | (math-read-token) | |
| 1128 | (math-read-token))))))) | |
| 1129 | ||
| 1130 | (put 'eqn 'math-lang-read | |
| 1131 | '((eq (string-match "->\\|<-\\|+-\\|\\\\dots\\|~\\|\\^" | |
| 1132 | math-exp-str math-exp-pos) | |
| 1133 | math-exp-pos) | |
| 1134 | (progn | |
| 1135 | (setq math-exp-token 'punc | |
| 1136 | math-expr-data (math-match-substring math-exp-str 0) | |
| 1137 | math-exp-pos (match-end 0)) | |
| 1138 | (and (eq (string-match "\\\\dots\\." math-exp-str math-exp-pos) | |
| 1139 | math-exp-pos) | |
| 1140 | (setq math-exp-pos (match-end 0))) | |
| 1141 | (if (memq (aref math-expr-data 0) '(?~ ?^)) | |
| 1142 | (math-read-token))))) | |
| 1143 | ||
| 1144 | ||
| 1145 | (defun math-compose-eqn-matrix (a) | |
| 1146 | (if a | |
| 1147 | (cons | |
| 1148 | (cond ((eq calc-matrix-just 'right) "rcol ") | |
| 1149 | ((eq calc-matrix-just 'center) "ccol ") | |
| 1150 | (t "lcol ")) | |
| 1151 | (cons | |
| 1152 | (list 'break math-compose-level) | |
| 1153 | (cons | |
| 1154 | "{ " | |
| 1155 | (cons | |
| 1156 | (let ((math-compose-level (1+ math-compose-level))) | |
| 1157 | (math-compose-vector (cdr (car a)) " above " 1000)) | |
| 1158 | (cons | |
| 1159 | " } " | |
| 1160 | (math-compose-eqn-matrix (cdr a))))))) | |
| 1161 | nil)) | |
| 1162 | ||
| 136211a9 EZ |
1163 | (defun math-parse-eqn-matrix (f sym) |
| 1164 | (let ((vec nil)) | |
| 54961aa0 | 1165 | (while (assoc math-expr-data '(("ccol") ("lcol") ("rcol"))) |
| 136211a9 | 1166 | (math-read-token) |
| 54961aa0 | 1167 | (or (equal math-expr-data calc-function-open) |
| 136211a9 EZ |
1168 | (throw 'syntax "Expected `{'")) |
| 1169 | (math-read-token) | |
| 1170 | (setq vec (cons (cons 'vec (math-read-expr-list)) vec)) | |
| 54961aa0 | 1171 | (or (equal math-expr-data calc-function-close) |
| 136211a9 EZ |
1172 | (throw 'syntax "Expected `}'")) |
| 1173 | (math-read-token)) | |
| 54961aa0 | 1174 | (or (equal math-expr-data calc-function-close) |
| 136211a9 EZ |
1175 | (throw 'syntax "Expected `}'")) |
| 1176 | (math-read-token) | |
| bf77c646 | 1177 | (math-transpose (cons 'vec (nreverse vec))))) |
| 136211a9 EZ |
1178 | |
| 1179 | (defun math-parse-eqn-prime (x sym) | |
| 1180 | (if (eq (car-safe x) 'var) | |
| 54961aa0 | 1181 | (if (equal math-expr-data calc-function-open) |
| 136211a9 EZ |
1182 | (progn |
| 1183 | (math-read-token) | |
| 54961aa0 | 1184 | (let ((args (if (or (equal math-expr-data calc-function-close) |
| 679e2630 | 1185 | (eq math-exp-token 'end)) |
| 136211a9 EZ |
1186 | nil |
| 1187 | (math-read-expr-list)))) | |
| 54961aa0 | 1188 | (if (not (or (equal math-expr-data calc-function-close) |
| 679e2630 | 1189 | (eq math-exp-token 'end))) |
| 136211a9 EZ |
1190 | (throw 'syntax "Expected `)'")) |
| 1191 | (math-read-token) | |
| 1192 | (cons (intern (format "calcFunc-%s'" (nth 1 x))) args))) | |
| 1193 | (list 'var | |
| 1194 | (intern (concat (symbol-name (nth 1 x)) "'")) | |
| 1195 | (intern (concat (symbol-name (nth 2 x)) "'")))) | |
| bf77c646 | 1196 | (list 'calcFunc-Prime x))) |
| 136211a9 | 1197 | |
| 7cf24610 JB |
1198 | (defun math-compose-eqn-intv (a) |
| 1199 | (list 'horiz | |
| 1200 | (if (memq (nth 1 a) '(0 1)) "(" "[") | |
| 1201 | (math-compose-expr (nth 2 a) 0) | |
| 1202 | " ... " | |
| 1203 | (math-compose-expr (nth 3 a) 0) | |
| 1204 | (if (memq (nth 1 a) '(0 2)) ")" "]"))) | |
| 1205 | ||
| 136211a9 | 1206 | |
| 37275755 JB |
1207 | ;;; Yacas |
| 1208 | ||
| 1209 | (defun calc-yacas-language () | |
| 1210 | "Change the Calc language to be Yacas-like." | |
| 1211 | (interactive) | |
| 1212 | (calc-wrapper | |
| 1213 | (calc-set-language 'yacas) | |
| 1214 | (message "`Yacas' language mode"))) | |
| 1215 | ||
| 1216 | (put 'yacas 'math-vector-brackets "{}") | |
| 1217 | ||
| 1218 | (put 'yacas 'math-complex-format 'I) | |
| 1219 | ||
| 1220 | (add-to-list 'calc-lang-brackets-are-subscripts 'yacas) | |
| 1221 | ||
| 1222 | (put 'yacas 'math-variable-table | |
| 1223 | '(( Infinity . var-inf) | |
| 1224 | ( Infinity . var-uinf) | |
| 1225 | ( Undefined . var-nan) | |
| 1226 | ( Pi . var-pi) | |
| 1227 | ( E . var-e) ;; Not really in Yacas | |
| 1228 | ( GoldenRatio . var-phi) | |
| 1229 | ( Gamma . var-gamma))) | |
| 1230 | ||
| 1231 | (put 'yacas 'math-parse-table | |
| be19ef0b | 1232 | '((("Deriv(" 0 ")" 0) |
| 37275755 | 1233 | calcFunc-deriv (var ArgB var-ArgB) (var ArgA var-ArgA)) |
| be19ef0b | 1234 | (("D(" 0 ")" 0) |
| 37275755 | 1235 | calcFunc-deriv (var ArgB var-ArgB) (var ArgA var-ArgA)) |
| be19ef0b | 1236 | (("Integrate(" 0 ")" 0) |
| 37275755 | 1237 | calcFunc-integ (var ArgB var-ArgB)(var ArgA var-ArgA)) |
| be19ef0b GM |
1238 | (("Integrate(" 0 "," 0 "," 0 ")" 0) |
| 1239 | calcFunc-integ (var ArgD var-ArgD) (var ArgA var-ArgA) | |
| 37275755 | 1240 | (var ArgB var-ArgB) (var ArgC var-ArgC)) |
| be19ef0b GM |
1241 | (("Subst(" 0 "," 0 ")" 0) |
| 1242 | calcFunc-subst (var ArgC var-ArgC) (var ArgA var-ArgA) | |
| 37275755 | 1243 | (var ArgB var-ArgB)) |
| be19ef0b GM |
1244 | (("Taylor(" 0 "," 0 "," 0 ")" 0) |
| 1245 | calcFunc-taylor (var ArgD var-ArgD) | |
| 1246 | (calcFunc-eq (var ArgA var-ArgA) (var ArgB var-ArgB)) | |
| 37275755 JB |
1247 | (var ArgC var-ArgC)))) |
| 1248 | ||
| 1249 | (put 'yacas 'math-oper-table | |
| 1250 | '(("+" + 30 30) | |
| 1251 | ("-" - 30 60) | |
| 1252 | ("*" * 60 60) | |
| 1253 | ("/" / 70 70) | |
| 1254 | ("u-" neg -1 60) | |
| 1255 | ("^" ^ 80 80) | |
| 1256 | ("u+" ident -1 30) | |
| 1257 | ("<<" calcFunc-lsh 80 80) | |
| 1258 | (">>" calcFunc-rsh 80 80) | |
| 1259 | ("!" calcFunc-fact 80 -1) | |
| 1260 | ("!!" calcFunc-dfact 80 -1) | |
| 1261 | ("X" calcFunc-cross 70 70) | |
| 1262 | ("=" calcFunc-eq 10 10) | |
| 1263 | ("!=" calcFunc-neq 10 10) | |
| 1264 | ("<" calcFunc-lt 10 10) | |
| 1265 | (">" calcFunc-gt 10 10) | |
| 1266 | ("<=" calcFunc-leq 10 10) | |
| 1267 | (">=" calcFunc-geq 10 10) | |
| 1268 | ("And" calcFunc-land 5 5) | |
| 1269 | ("Or" calcFunc-or 4 4) | |
| 1270 | ("Not" calcFunc-lnot -1 3) | |
| 1271 | (":=" calcFunc-assign 1 1))) | |
| 1272 | ||
| 1273 | (put 'yacas 'math-function-table | |
| 1274 | '(( Div . calcFunc-idiv) | |
| 1275 | ( Mod . calcFunc-mod) | |
| 1276 | ( Abs . calcFunc-abs) | |
| 1277 | ( Sign . calcFunc-sign) | |
| 1278 | ( Sqrt . calcFunc-sqrt) | |
| 1279 | ( Max . calcFunc-max) | |
| 1280 | ( Min . calcFunc-min) | |
| 1281 | ( Floor . calcFunc-floor) | |
| 1282 | ( Ceil . calcFunc-ceil) | |
| 1283 | ( Round . calcFunc-round) | |
| 1284 | ( Conjugate . calcFunc-conj) | |
| 1285 | ( Arg . calcFunc-arg) | |
| 1286 | ( Re . calcFunc-re) | |
| 1287 | ( Im . calcFunc-im) | |
| 1288 | ( Rationalize . calcFunc-pfrac) | |
| 1289 | ( Sin . calcFunc-sin) | |
| 1290 | ( Cos . calcFunc-cos) | |
| 1291 | ( Tan . calcFunc-tan) | |
| 1292 | ( Sec . calcFunc-sec) | |
| 1293 | ( Csc . calcFunc-csc) | |
| 1294 | ( Cot . calcFunc-cot) | |
| 1295 | ( ArcSin . calcFunc-arcsin) | |
| 1296 | ( ArcCos . calcFunc-arccos) | |
| 1297 | ( ArcTan . calcFunc-arctan) | |
| 1298 | ( Sinh . calcFunc-sinh) | |
| 1299 | ( Cosh . calcFunc-cosh) | |
| 1300 | ( Tanh . calcFunc-tanh) | |
| 1301 | ( Sech . calcFunc-sech) | |
| 1302 | ( Csch . calcFunc-csch) | |
| 1303 | ( Coth . calcFunc-coth) | |
| 1304 | ( ArcSinh . calcFunc-arcsinh) | |
| 1305 | ( ArcCosh . calcFunc-arccosh) | |
| 1306 | ( ArcTanh . calcFunc-arctanh) | |
| 1307 | ( Ln . calcFunc-ln) | |
| 1308 | ( Exp . calcFunc-exp) | |
| 1309 | ( Gamma . calcFunc-gamma) | |
| 1310 | ( Gcd . calcFunc-gcd) | |
| 1311 | ( Lcm . calcFunc-lcm) | |
| 1312 | ( Bin . calcFunc-choose) | |
| 1313 | ( Bernoulli . calcFunc-bern) | |
| 1314 | ( Euler . calcFunc-euler) | |
| 1315 | ( StirlingNumber1 . calcFunc-stir1) | |
| 1316 | ( StirlingNumber2 . calcFunc-stir2) | |
| 1317 | ( IsPrime . calcFunc-prime) | |
| 1318 | ( Factors . calcFunc-prfac) | |
| 1319 | ( NextPrime . calcFunc-nextprime) | |
| 1320 | ( Moebius . calcFunc-moebius) | |
| 1321 | ( Random . calcFunc-random) | |
| 1322 | ( Concat . calcFunc-vconcat) | |
| 1323 | ( Head . calcFunc-head) | |
| 1324 | ( Tail . calcFunc-tail) | |
| 1325 | ( Length . calcFunc-vlen) | |
| 1326 | ( Reverse . calcFunc-rev) | |
| 1327 | ( CrossProduct . calcFunc-cross) | |
| 1328 | ( Dot . calcFunc-mul) | |
| 1329 | ( DiagonalMatrix . calcFunc-diag) | |
| 1330 | ( Transpose . calcFunc-trn) | |
| 1331 | ( Inverse . calcFunc-inv) | |
| 1332 | ( Determinant . calcFunc-det) | |
| 1333 | ( Trace . calcFunc-tr) | |
| 1334 | ( RemoveDuplicates . calcFunc-rdup) | |
| 1335 | ( Union . calcFunc-vunion) | |
| 1336 | ( Intersection . calcFunc-vint) | |
| 1337 | ( Difference . calcFunc-vdiff) | |
| 1338 | ( Apply . calcFunc-apply) | |
| 1339 | ( Map . calcFunc-map) | |
| 1340 | ( Simplify . calcFunc-simplify) | |
| 1341 | ( ExpandBrackets . calcFunc-expand) | |
| 1342 | ( Solve . calcFunc-solve) | |
| 1343 | ( Degree . calcFunc-pdeg) | |
| 1344 | ( If . calcFunc-if) | |
| 1345 | ( Contains . (math-lang-switch-args calcFunc-in)) | |
| 1346 | ( Sum . (math-yacas-parse-Sum calcFunc-sum)) | |
| 1347 | ( Factorize . (math-yacas-parse-Sum calcFunc-prod)))) | |
| 1348 | ||
| 1349 | (put 'yacas 'math-special-function-table | |
| 1350 | '(( calcFunc-sum . (math-yacas-compose-sum "Sum")) | |
| 1351 | ( calcFunc-prod . (math-yacas-compose-sum "Factorize")) | |
| 1352 | ( calcFunc-deriv . (math-yacas-compose-deriv "Deriv")) | |
| 1353 | ( calcFunc-integ . (math-yacas-compose-deriv "Integrate")) | |
| 1354 | ( calcFunc-taylor . math-yacas-compose-taylor) | |
| 1355 | ( calcFunc-in . (math-lang-compose-switch-args "Contains")))) | |
| 1356 | ||
| 1357 | (put 'yacas 'math-compose-subscr | |
| 1358 | (function | |
| 1359 | (lambda (a) | |
| 1360 | (let ((args (cdr (cdr a)))) | |
| 1361 | (list 'horiz | |
| 1362 | (math-compose-expr (nth 1 a) 1000) | |
| 1363 | "[" | |
| 1364 | (math-compose-vector args ", " 0) | |
| 1365 | "]"))))) | |
| 1366 | ||
| 1367 | (defun math-yacas-parse-Sum (f val) | |
| 1368 | "Read in the arguments to \"Sum\" in Calc's Yacas mode." | |
| 1369 | (let ((args (math-read-expr-list))) | |
| 1370 | (math-read-token) | |
| 1371 | (list (nth 2 f) | |
| 1372 | (nth 3 args) | |
| 1373 | (nth 0 args) | |
| 1374 | (nth 1 args) | |
| 1375 | (nth 2 args)))) | |
| 1376 | ||
| 1377 | (defun math-yacas-compose-sum (a fn) | |
| 1378 | "Compose the \"Sum\" function in Calc's Yacas mode." | |
| 1379 | (list 'horiz | |
| 1380 | (nth 1 fn) | |
| 1381 | "(" | |
| 1382 | (math-compose-expr (nth 2 a) -1) | |
| 1383 | "," | |
| 1384 | (math-compose-expr (nth 3 a) -1) | |
| 1385 | "," | |
| 1386 | (math-compose-expr (nth 4 a) -1) | |
| 1387 | "," | |
| 1388 | (math-compose-expr (nth 1 a) -1) | |
| 1389 | ")")) | |
| 1390 | ||
| 1391 | (defun math-yacas-compose-deriv (a fn) | |
| 1392 | "Compose the \"Deriv\" function in Calc's Yacas mode." | |
| 1393 | (list 'horiz | |
| 1394 | (nth 1 fn) | |
| 1395 | "(" | |
| 1396 | (math-compose-expr (nth 2 a) -1) | |
| 1397 | (if (not (nth 3 a)) | |
| 1398 | ")" | |
| be19ef0b | 1399 | (concat |
| 37275755 JB |
1400 | "," |
| 1401 | (math-compose-expr (nth 3 a) -1) | |
| 1402 | "," | |
| 1403 | (math-compose-expr (nth 4 a) -1) | |
| 1404 | ")")) | |
| 1405 | " " | |
| 1406 | (math-compose-expr (nth 1 a) -1))) | |
| 1407 | ||
| 1408 | (defun math-yacas-compose-taylor (a) | |
| 1409 | "Compose the \"Taylor\" function in Calc's Yacas mode." | |
| 1410 | (list 'horiz | |
| 1411 | "Taylor(" | |
| 1412 | (if (eq (car-safe (nth 2 a)) 'calcFunc-eq) | |
| 1413 | (concat (math-compose-expr (nth 1 (nth 2 a)) -1) | |
| 1414 | "," | |
| 1415 | (math-compose-expr (nth 2 (nth 2 a)) -1)) | |
| 1416 | (concat (math-compose-expr (nth 2 a) -1) ",0")) | |
| 1417 | "," | |
| 1418 | (math-compose-expr (nth 3 a) -1) | |
| 1419 | ") " | |
| 1420 | (math-compose-expr (nth 1 a) -1))) | |
| 1421 | ||
| 1422 | ||
| 1423 | ;;; Maxima | |
| 1424 | ||
| 1425 | (defun calc-maxima-language () | |
| 1426 | "Change the Calc language to be Maxima-like." | |
| 1427 | (interactive) | |
| 1428 | (calc-wrapper | |
| 1429 | (calc-set-language 'maxima) | |
| 1430 | (message "`Maxima' language mode"))) | |
| 1431 | ||
| 1432 | (put 'maxima 'math-oper-table | |
| 1433 | '(("+" + 100 100) | |
| 1434 | ("-" - 100 134) | |
| 1435 | ("*" * 120 120) | |
| be19ef0b | 1436 | ("." * 130 129) |
| 37275755 JB |
1437 | ("/" / 120 120) |
| 1438 | ("u-" neg -1 180) | |
| 1439 | ("u+" ident -1 180) | |
| 1440 | ("^" ^ 140 139) | |
| 1441 | ("**" ^ 140 139) | |
| 1442 | ("!" calcFunc-fact 160 -1) | |
| 1443 | ("!!" calcFunc-dfact 160 -1) | |
| 1444 | ("=" calcFunc-eq 80 80) | |
| 1445 | ("#" calcFunc-neq 80 80) | |
| 1446 | ("<" calcFunc-lt 80 80) | |
| 1447 | (">" calcFunc-gt 80 80) | |
| 1448 | ("<=" calcFunc-leq 80 80) | |
| 1449 | (">=" calcFunc-geq 80 80) | |
| 1450 | ("and" calcFunc-land 65 65) | |
| 1451 | ("or" calcFunc-or 60 60) | |
| 1452 | ("not" calcFunc-lnot -1 70) | |
| 1453 | (":" calcFunc-assign 180 20))) | |
| 1454 | ||
| 1455 | ||
| 1456 | (put 'maxima 'math-function-table | |
| 1457 | '(( matrix . vec) | |
| 1458 | ( abs . calcFunc-abs) | |
| 1459 | ( cabs . calcFunc-abs) | |
| 1460 | ( signum . calcFunc-sign) | |
| 1461 | ( floor . calcFunc-floor) | |
| 1462 | ( entier . calcFunc-floor) | |
| 1463 | ( fix . calcFunc-floor) | |
| 1464 | ( conjugate . calcFunc-conj ) | |
| 1465 | ( carg . calcFunc-arg) | |
| 1466 | ( realpart . calcFunc-re) | |
| 1467 | ( imagpart . calcFunc-im) | |
| 1468 | ( rationalize . calcFunc-pfrac) | |
| 1469 | ( asin . calcFunc-arcsin) | |
| 1470 | ( acos . calcFunc-arccos) | |
| 1471 | ( atan . calcFunc-arctan) | |
| 1472 | ( atan2 . calcFunc-arctan2) | |
| 1473 | ( asinh . calcFunc-arcsinh) | |
| 1474 | ( acosh . calcFunc-arccosh) | |
| 1475 | ( atanh . calcFunc-arctanh) | |
| 1476 | ( log . calcFunc-ln) | |
| 1477 | ( plog . calcFunc-ln) | |
| 1478 | ( bessel_j . calcFunc-besJ) | |
| 1479 | ( bessel_y . calcFunc-besY) | |
| 1480 | ( factorial . calcFunc-fact) | |
| 1481 | ( binomial . calcFunc-choose) | |
| 1482 | ( primep . calcFunc-prime) | |
| 1483 | ( next_prime . calcFunc-nextprime) | |
| 1484 | ( prev_prime . calcFunc-prevprime) | |
| 1485 | ( append . calcFunc-vconcat) | |
| 1486 | ( rest . calcFunc-tail) | |
| 1487 | ( reverse . calcFunc-rev) | |
| 1488 | ( innerproduct . calcFunc-mul) | |
| 1489 | ( inprod . calcFunc-mul) | |
| 1490 | ( row . calcFunc-mrow) | |
| 1491 | ( columnvector . calcFunc-mcol) | |
| 1492 | ( covect . calcFunc-mcol) | |
| 1493 | ( transpose . calcFunc-trn) | |
| 1494 | ( invert . calcFunc-inv) | |
| 1495 | ( determinant . calcFunc-det) | |
| 1496 | ( mattrace . calcFunc-tr) | |
| 1497 | ( member . calcFunc-in) | |
| 1498 | ( lmax . calcFunc-vmax) | |
| 1499 | ( lmin . calcFunc-vmin) | |
| 1500 | ( distrib . calcFunc-expand) | |
| 1501 | ( partfrac . calcFunc-apart) | |
| 1502 | ( rat . calcFunc-nrat) | |
| 1503 | ( product . calcFunc-prod) | |
| 1504 | ( diff . calcFunc-deriv) | |
| 1505 | ( integrate . calcFunc-integ) | |
| 1506 | ( quotient . calcFunc-pdiv) | |
| 1507 | ( remainder . calcFunc-prem) | |
| 1508 | ( divide . calcFunc-pdivrem) | |
| 1509 | ( equal . calcFunc-eq) | |
| 1510 | ( notequal . calcFunc-neq) | |
| 1511 | ( rhs . calcFunc-rmeq) | |
| 1512 | ( subst . (math-maxima-parse-subst)) | |
| 1513 | ( substitute . (math-maxima-parse-subst)) | |
| 1514 | ( taylor . (math-maxima-parse-taylor)))) | |
| 1515 | ||
| 1516 | (defun math-maxima-parse-subst (f val) | |
| 1517 | "Read in the arguments to \"subst\" in Calc's Maxima mode." | |
| 1518 | (let ((args (math-read-expr-list))) | |
| 1519 | (math-read-token) | |
| 1520 | (list 'calcFunc-subst | |
| 1521 | (nth 1 args) | |
| 1522 | (nth 2 args) | |
| 1523 | (nth 0 args)))) | |
| 1524 | ||
| 1525 | (defun math-maxima-parse-taylor (f val) | |
| 1526 | "Read in the arguments to \"taylor\" in Calc's Maxima mode." | |
| 1527 | (let ((args (math-read-expr-list))) | |
| 1528 | (math-read-token) | |
| 1529 | (list 'calcFunc-taylor | |
| 1530 | (nth 0 args) | |
| 1531 | (list 'calcFunc-eq | |
| 1532 | (nth 1 args) | |
| 1533 | (nth 2 args)) | |
| 1534 | (nth 3 args)))) | |
| 1535 | ||
| 1536 | (put 'maxima 'math-parse-table | |
| be19ef0b GM |
1537 | '((("if" 0 "then" 0 "else" 0) |
| 1538 | calcFunc-if | |
| 1539 | (var ArgA var-ArgA) | |
| 37275755 JB |
1540 | (var ArgB var-ArgB) |
| 1541 | (var ArgC var-ArgC)))) | |
| 1542 | ||
| 1543 | (put 'maxima 'math-special-function-table | |
| 1544 | '(( calcFunc-taylor . math-maxima-compose-taylor) | |
| 1545 | ( calcFunc-subst . math-maxima-compose-subst) | |
| 1546 | ( calcFunc-if . math-maxima-compose-if))) | |
| 1547 | ||
| 1548 | (defun math-maxima-compose-taylor (a) | |
| 1549 | "Compose the \"taylor\" function in Calc's Maxima mode." | |
| 1550 | (list 'horiz | |
| 1551 | "taylor(" | |
| 1552 | (math-compose-expr (nth 1 a) -1) | |
| 1553 | "," | |
| 1554 | (if (eq (car-safe (nth 2 a)) 'calcFunc-eq) | |
| 1555 | (concat (math-compose-expr (nth 1 (nth 2 a)) -1) | |
| 1556 | "," | |
| 1557 | (math-compose-expr (nth 2 (nth 2 a)) -1)) | |
| 1558 | (concat (math-compose-expr (nth 2 a) -1) ",0")) | |
| 1559 | "," | |
| 1560 | (math-compose-expr (nth 3 a) -1) | |
| 1561 | ")")) | |
| 1562 | ||
| 1563 | (defun math-maxima-compose-subst (a) | |
| 1564 | "Compose the \"subst\" function in Calc's Maxima mode." | |
| 1565 | (list 'horiz | |
| 1566 | "substitute(" | |
| 1567 | (math-compose-expr (nth 2 a) -1) | |
| 1568 | "," | |
| 1569 | (math-compose-expr (nth 3 a) -1) | |
| 1570 | "," | |
| 1571 | (math-compose-expr (nth 1 a) -1) | |
| 1572 | ")")) | |
| 1573 | ||
| 1574 | (defun math-maxima-compose-if (a) | |
| 1575 | "Compose the \"if\" function in Calc's Maxima mode." | |
| 1576 | (list 'horiz | |
| 1577 | "if " | |
| 1578 | (math-compose-expr (nth 1 a) -1) | |
| 1579 | " then " | |
| 1580 | (math-compose-expr (nth 2 a) -1) | |
| 1581 | " else " | |
| 1582 | (math-compose-expr (nth 3 a) -1))) | |
| 1583 | ||
| 1584 | (put 'maxima 'math-variable-table | |
| 1585 | '(( infinity . var-uinf) | |
| 1586 | ( %pi . var-pi) | |
| 1587 | ( %e . var-e) | |
| 1588 | ( %i . var-i) | |
| 1589 | ( %phi . var-phi) | |
| 1590 | ( %gamma . var-gamma))) | |
| 1591 | ||
| 1592 | (put 'maxima 'math-complex-format '%i) | |
| 1593 | ||
| 1594 | (add-to-list 'calc-lang-allow-underscores 'maxima) | |
| 1595 | ||
| 1596 | (add-to-list 'calc-lang-allow-percentsigns 'maxima) | |
| 1597 | ||
| 1598 | (add-to-list 'calc-lang-brackets-are-subscripts 'maxima) | |
| 1599 | ||
| 1600 | (put 'maxima 'math-compose-subscr | |
| 1601 | (function | |
| 1602 | (lambda (a) | |
| 1603 | (let ((args (cdr (cdr a)))) | |
| 1604 | (list 'horiz | |
| 1605 | (math-compose-expr (nth 1 a) 1000) | |
| 1606 | "[" | |
| 1607 | (math-compose-vector args ", " 0) | |
| 1608 | "]"))))) | |
| 1609 | ||
| 1610 | (put 'maxima 'math-matrix-formatter | |
| 1611 | (function | |
| 1612 | (lambda (a) | |
| 1613 | (list 'horiz | |
| 1614 | "matrix(" | |
| be19ef0b | 1615 | (math-compose-vector (cdr a) |
| 37275755 JB |
1616 | (concat math-comp-comma " ") |
| 1617 | math-comp-vector-prec) | |
| 1618 | ")")))) | |
| 1619 | ||
| 1620 | ||
| 1621 | ;;; Giac | |
| 1622 | ||
| 1623 | (defun calc-giac-language () | |
| 1624 | "Change the Calc language to be Giac-like." | |
| 1625 | (interactive) | |
| 1626 | (calc-wrapper | |
| 1627 | (calc-set-language 'giac) | |
| 1628 | (message "`Giac' language mode"))) | |
| 1629 | ||
| 1630 | (put 'giac 'math-oper-table | |
| 1631 | '( ( "[" (math-read-giac-subscr) 250 -1 ) | |
| 1632 | ( "+" + 180 181 ) | |
| 1633 | ( "-" - 180 181 ) | |
| 1634 | ( "/" / 191 192 ) | |
| 1635 | ( "*" * 191 192 ) | |
| 1636 | ( "^" ^ 201 200 ) | |
| 1637 | ( "u+" ident -1 197 ) | |
| 1638 | ( "u-" neg -1 197 ) | |
| 1639 | ( "!" calcFunc-fact 210 -1 ) | |
| 1640 | ( ".." (math-read-maple-dots) 165 165 ) | |
| 1641 | ( "\\dots" (math-read-maple-dots) 165 165 ) | |
| 1642 | ( "intersect" calcFunc-vint 191 192 ) | |
| 1643 | ( "union" calcFunc-vunion 180 181 ) | |
| 1644 | ( "minus" calcFunc-vdiff 180 181 ) | |
| 1645 | ( "<" calcFunc-lt 160 160 ) | |
| 1646 | ( ">" calcFunc-gt 160 160 ) | |
| 1647 | ( "<=" calcFunc-leq 160 160 ) | |
| 1648 | ( ">=" calcFunc-geq 160 160 ) | |
| 1649 | ( "=" calcFunc-eq 160 160 ) | |
| 1650 | ( "==" calcFunc-eq 160 160 ) | |
| 1651 | ( "!=" calcFunc-neq 160 160 ) | |
| 1652 | ( "and" calcFunc-land 110 111 ) | |
| 1653 | ( "or" calcFunc-lor 100 101 ) | |
| 1654 | ( "&&" calcFunc-land 110 111 ) | |
| 1655 | ( "||" calcFunc-lor 100 101 ) | |
| 1656 | ( "not" calcFunc-lnot -1 121 ) | |
| 1657 | ( ":=" calcFunc-assign 51 50 ))) | |
| 1658 | ||
| 1659 | ||
| 1660 | (put 'giac 'math-function-table | |
| 1661 | '(( rdiv . calcFunc-div) | |
| 1662 | ( iquo . calcFunc-idiv) | |
| 1663 | ( irem . calcFunc-mod) | |
| 1664 | ( remain . calcFunc-mod) | |
| 1665 | ( floor . calcFunc-floor) | |
| 1666 | ( iPart . calcFunc-floor) | |
| 1667 | ( ceil . calcFunc-ceil) | |
| 1668 | ( ceiling . calcFunc-ceil) | |
| 1669 | ( re . calcFunc-re) | |
| 1670 | ( real . calcFunc-re) | |
| 1671 | ( im . calcFunc-im) | |
| 1672 | ( imag . calcFunc-im) | |
| 1673 | ( float2rational . calcFunc-pfrac) | |
| 1674 | ( exact . calcFunc-pfrac) | |
| 1675 | ( evalf . calcFunc-pfloat) | |
| 1676 | ( bitand . calcFunc-and) | |
| 1677 | ( bitor . calcFunc-or) | |
| 1678 | ( bitxor . calcFunc-xor) | |
| 1679 | ( asin . calcFunc-arcsin) | |
| 1680 | ( acos . calcFunc-arccos) | |
| 1681 | ( atan . calcFunc-arctan) | |
| 1682 | ( asinh . calcFunc-arcsinh) | |
| 1683 | ( acosh . calcFunc-arccosh) | |
| 1684 | ( atanh . calcFunc-arctanh) | |
| 1685 | ( log . calcFunc-ln) | |
| 1686 | ( logb . calcFunc-log) | |
| 1687 | ( factorial . calcFunc-fact) | |
| 1688 | ( comb . calcFunc-choose) | |
| 1689 | ( binomial . calcFunc-choose) | |
| 1690 | ( nCr . calcFunc-choose) | |
| 1691 | ( perm . calcFunc-perm) | |
| 1692 | ( nPr . calcFunc-perm) | |
| 1693 | ( bernoulli . calcFunc-bern) | |
| 1694 | ( is_prime . calcFunc-prime) | |
| 1695 | ( isprime . calcFunc-prime) | |
| 1696 | ( isPrime . calcFunc-prime) | |
| 1697 | ( ifactors . calcFunc-prfac) | |
| 1698 | ( euler . calcFunc-totient) | |
| 1699 | ( phi . calcFunc-totient) | |
| 1700 | ( rand . calcFunc-random) | |
| 1701 | ( concat . calcFunc-vconcat) | |
| 1702 | ( augment . calcFunc-vconcat) | |
| 1703 | ( mid . calcFunc-subvec) | |
| 1704 | ( length . calcFunc-length) | |
| 1705 | ( size . calcFunc-length) | |
| 1706 | ( nops . calcFunc-length) | |
| 1707 | ( SortA . calcFunc-sort) | |
| 1708 | ( SortB . calcFunc-rsort) | |
| 1709 | ( revlist . calcFunc-rev) | |
| 1710 | ( cross . calcFunc-cross) | |
| 1711 | ( crossP . calcFunc-cross) | |
| 1712 | ( crossproduct . calcFunc-cross) | |
| 1713 | ( mul . calcFunc-mul) | |
| 1714 | ( dot . calcFunc-mul) | |
| 1715 | ( dotprod . calcFunc-mul) | |
| 1716 | ( dotP . calcFunc-mul) | |
| 1717 | ( scalar_product . calcFunc-mul) | |
| 1718 | ( scalar_Product . calcFunc-mul) | |
| 1719 | ( row . calcFunc-mrow) | |
| 1720 | ( col . calcFunc-mcol) | |
| 1721 | ( dim . calcFunc-mdims) | |
| 1722 | ( tran . calcFunc-trn) | |
| 1723 | ( transpose . calcFunc-trn) | |
| 1724 | ( lu . calcFunc-lud) | |
| 1725 | ( trace . calcFunc-tr) | |
| 1726 | ( member . calcFunc-in) | |
| 1727 | ( sum . calcFunc-vsum) | |
| 1728 | ( add . calcFunc-vsum) | |
| 1729 | ( product . calcFunc-vprod) | |
| 1730 | ( mean . calcFunc-vmean) | |
| 1731 | ( median . calcFunc-vmedian) | |
| 1732 | ( stddev . calcFunc-vsdev) | |
| 1733 | ( stddevp . calcFunc-vpsdev) | |
| 1734 | ( variance . calcFunc-vpvar) | |
| 1735 | ( map . calcFunc-map) | |
| 1736 | ( apply . calcFunc-map) | |
| 1737 | ( of . calcFunc-map) | |
| 1738 | ( zip . calcFunc-map) | |
| 1739 | ( expand . calcFunc-expand) | |
| 1740 | ( fdistrib . calcFunc-expand) | |
| 1741 | ( partfrac . calcFunc-apart) | |
| 1742 | ( ratnormal . calcFunc-nrat) | |
| 1743 | ( diff . calcFunc-deriv) | |
| 1744 | ( derive . calcFunc-deriv) | |
| 1745 | ( integrate . calcFunc-integ) | |
| 1746 | ( int . calcFunc-integ) | |
| 1747 | ( Int . calcFunc-integ) | |
| 1748 | ( romberg . calcFunc-ninteg) | |
| 1749 | ( nInt . calcFunc-ninteg) | |
| 1750 | ( lcoeff . calcFunc-plead) | |
| 1751 | ( content . calcFunc-pcont) | |
| 1752 | ( primpart . calcFunc-pprim) | |
| 1753 | ( quo . calcFunc-pdiv) | |
| 1754 | ( rem . calcFunc-prem) | |
| 1755 | ( quorem . calcFunc-pdivrem) | |
| 1756 | ( divide . calcFunc-pdivrem) | |
| 1757 | ( equal . calcFunc-eq) | |
| 1758 | ( ifte . calcFunc-if) | |
| 1759 | ( not . calcFunc-lnot) | |
| 1760 | ( rhs . calcFunc-rmeq) | |
| 1761 | ( right . calcFunc-rmeq) | |
| 1762 | ( prepend . (math-lang-switch-args calcFunc-cons)) | |
| 1763 | ( contains . (math-lang-switch-args calcFunc-in)) | |
| 1764 | ( has . (math-lang-switch-args calcFunc-refers)))) | |
| 1765 | ||
| 1766 | (defun math-lang-switch-args (f val) | |
| 1767 | "Read the arguments to a Calc function in reverse order. | |
| 1768 | This is used for various language modes which have functions in reverse | |
| 1769 | order to Calc's." | |
| 1770 | (let ((args (math-read-expr-list))) | |
| 1771 | (math-read-token) | |
| 1772 | (list (nth 2 f) | |
| 1773 | (nth 1 args) | |
| 1774 | (nth 0 args)))) | |
| 1775 | ||
| 1776 | (put 'giac 'math-parse-table | |
| be19ef0b | 1777 | '((("set" 0) |
| 37275755 JB |
1778 | calcFunc-rdup |
| 1779 | (var ArgA var-ArgA)))) | |
| 1780 | ||
| 1781 | (put 'giac 'math-special-function-table | |
| 1782 | '((calcFunc-cons . (math-lang-compose-switch-args "prepend")) | |
| 1783 | (calcFunc-in . (math-lang-compose-switch-args "contains")) | |
| 1784 | (calcFunc-refers . (math-lang-compose-switch-args "has")) | |
| 1785 | (intv . math-compose-maple-intv))) | |
| 1786 | ||
| 1787 | (defun math-lang-compose-switch-args (a fn) | |
| 1788 | "Compose the arguments to a Calc function in reverse order. | |
| 1789 | This is used for various language modes which have functions in reverse | |
| 1790 | order to Calc's." | |
| be19ef0b | 1791 | (list 'horiz (nth 1 fn) |
| 37275755 JB |
1792 | "(" |
| 1793 | (math-compose-expr (nth 2 a) 0) | |
| 1794 | "," | |
| 1795 | (math-compose-expr (nth 1 a) 0) | |
| 1796 | ")")) | |
| 1797 | ||
| 1798 | (put 'giac 'math-variable-table | |
| 1799 | '(( infinity . var-inf) | |
| 1800 | ( infinity . var-uinf))) | |
| 1801 | ||
| 591b5f7a JB |
1802 | (put 'giac 'math-complex-format 'i) |
| 1803 | ||
| 37275755 JB |
1804 | (add-to-list 'calc-lang-allow-underscores 'giac) |
| 1805 | ||
| 1806 | (put 'giac 'math-compose-subscr | |
| 1807 | (function | |
| 1808 | (lambda (a) | |
| 1809 | (let ((args (cdr (cdr a)))) | |
| 1810 | (list 'horiz | |
| 1811 | (math-compose-expr (nth 1 a) 1000) | |
| 1812 | "[" | |
| be19ef0b | 1813 | (math-compose-expr |
| 37275755 JB |
1814 | (calc-normalize (list '- (nth 2 a) 1)) 0) |
| 1815 | "]"))))) | |
| 1816 | ||
| 1817 | (defun math-read-giac-subscr (x op) | |
| 1818 | (let ((idx (math-read-expr-level 0))) | |
| 1819 | (or (equal math-expr-data "]") | |
| 1820 | (throw 'syntax "Expected ']'")) | |
| 1821 | (math-read-token) | |
| 1822 | (list 'calcFunc-subscr x (calc-normalize (list '+ idx 1))))) | |
| 1823 | ||
| 1824 | (add-to-list 'calc-lang-c-type-hex 'giac) | |
| 1825 | ||
| 1826 | ||
| 136211a9 EZ |
1827 | (defun calc-mathematica-language () |
| 1828 | (interactive) | |
| 1829 | (calc-wrapper | |
| 1830 | (calc-set-language 'math) | |
| 3132f345 | 1831 | (message "Mathematica language mode"))) |
| 136211a9 EZ |
1832 | |
| 1833 | (put 'math 'math-oper-table | |
| 1834 | '( ( "[[" (math-read-math-subscr) 250 -1 ) | |
| 1835 | ( "!" calcFunc-fact 210 -1 ) | |
| 1836 | ( "!!" calcFunc-dfact 210 -1 ) | |
| 1837 | ( "^" ^ 201 200 ) | |
| 1838 | ( "u+" ident -1 197 ) | |
| 1839 | ( "u-" neg -1 197 ) | |
| 1840 | ( "/" / 195 196 ) | |
| 1841 | ( "*" * 190 191 ) | |
| 1842 | ( "2x" * 190 191 ) | |
| 1843 | ( "+" + 180 181 ) | |
| 1844 | ( "-" - 180 181 ) | |
| 1845 | ( "<" calcFunc-lt 160 161 ) | |
| 1846 | ( ">" calcFunc-gt 160 161 ) | |
| 1847 | ( "<=" calcFunc-leq 160 161 ) | |
| 1848 | ( ">=" calcFunc-geq 160 161 ) | |
| 1849 | ( "==" calcFunc-eq 150 151 ) | |
| 1850 | ( "!=" calcFunc-neq 150 151 ) | |
| 1851 | ( "u!" calcFunc-lnot -1 121 ) | |
| 1852 | ( "&&" calcFunc-land 110 111 ) | |
| 1853 | ( "||" calcFunc-lor 100 101 ) | |
| 1854 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 1855 | ( "&&&" calcFunc-pand 80 81 ) | |
| 1856 | ( "|||" calcFunc-por 75 76 ) | |
| 1857 | ( ":=" calcFunc-assign 51 50 ) | |
| 1858 | ( "=" calcFunc-assign 51 50 ) | |
| 1859 | ( "->" calcFunc-assign 51 50 ) | |
| 1860 | ( ":>" calcFunc-assign 51 50 ) | |
| 1861 | ( "::" calcFunc-condition 45 46 ) | |
| 1862 | )) | |
| 1863 | ||
| 1864 | (put 'math 'math-function-table | |
| 1865 | '( ( Abs . calcFunc-abs ) | |
| 1866 | ( ArcCos . calcFunc-arccos ) | |
| 1867 | ( ArcCosh . calcFunc-arccosh ) | |
| 1868 | ( ArcSin . calcFunc-arcsin ) | |
| 1869 | ( ArcSinh . calcFunc-arcsinh ) | |
| 1870 | ( ArcTan . calcFunc-arctan ) | |
| 1871 | ( ArcTanh . calcFunc-arctanh ) | |
| 1872 | ( Arg . calcFunc-arg ) | |
| 1873 | ( Binomial . calcFunc-choose ) | |
| 1874 | ( Ceiling . calcFunc-ceil ) | |
| 1875 | ( Conjugate . calcFunc-conj ) | |
| 1876 | ( Cos . calcFunc-cos ) | |
| 1877 | ( Cosh . calcFunc-cosh ) | |
| 671dfbd8 JB |
1878 | ( Cot . calcFunc-cot ) |
| 1879 | ( Coth . calcFunc-coth ) | |
| 1880 | ( Csc . calcFunc-csc ) | |
| 1881 | ( Csch . calcFunc-csch ) | |
| 136211a9 EZ |
1882 | ( D . calcFunc-deriv ) |
| 1883 | ( Dt . calcFunc-tderiv ) | |
| 1884 | ( Det . calcFunc-det ) | |
| 1885 | ( Exp . calcFunc-exp ) | |
| 1886 | ( EulerPhi . calcFunc-totient ) | |
| 1887 | ( Floor . calcFunc-floor ) | |
| 1888 | ( Gamma . calcFunc-gamma ) | |
| 1889 | ( GCD . calcFunc-gcd ) | |
| 1890 | ( If . calcFunc-if ) | |
| 1891 | ( Im . calcFunc-im ) | |
| 1892 | ( Inverse . calcFunc-inv ) | |
| 1893 | ( Integrate . calcFunc-integ ) | |
| 1894 | ( Join . calcFunc-vconcat ) | |
| 1895 | ( LCM . calcFunc-lcm ) | |
| 1896 | ( Log . calcFunc-ln ) | |
| 1897 | ( Max . calcFunc-max ) | |
| 1898 | ( Min . calcFunc-min ) | |
| 1899 | ( Mod . calcFunc-mod ) | |
| 1900 | ( MoebiusMu . calcFunc-moebius ) | |
| 1901 | ( Random . calcFunc-random ) | |
| 1902 | ( Round . calcFunc-round ) | |
| 1903 | ( Re . calcFunc-re ) | |
| 671dfbd8 JB |
1904 | ( Sec . calcFunc-sec ) |
| 1905 | ( Sech . calcFunc-sech ) | |
| 136211a9 EZ |
1906 | ( Sign . calcFunc-sign ) |
| 1907 | ( Sin . calcFunc-sin ) | |
| 1908 | ( Sinh . calcFunc-sinh ) | |
| 1909 | ( Sqrt . calcFunc-sqrt ) | |
| 1910 | ( Tan . calcFunc-tan ) | |
| 1911 | ( Tanh . calcFunc-tanh ) | |
| 1912 | ( Transpose . calcFunc-trn ) | |
| 1913 | ( Length . calcFunc-vlen ) | |
| 1914 | )) | |
| 1915 | ||
| 1916 | (put 'math 'math-variable-table | |
| 1917 | '( ( I . var-i ) | |
| 1918 | ( Pi . var-pi ) | |
| 1919 | ( E . var-e ) | |
| 1920 | ( GoldenRatio . var-phi ) | |
| 1921 | ( EulerGamma . var-gamma ) | |
| 1922 | ( Infinity . var-inf ) | |
| 1923 | ( ComplexInfinity . var-uinf ) | |
| 1924 | ( Indeterminate . var-nan ) | |
| 1925 | )) | |
| 1926 | ||
| 1927 | (put 'math 'math-vector-brackets "{}") | |
| 1928 | (put 'math 'math-complex-format 'I) | |
| 1929 | (put 'math 'math-function-open "[") | |
| 1930 | (put 'math 'math-function-close "]") | |
| 1931 | ||
| 1932 | (put 'math 'math-radix-formatter | |
| 1933 | (function (lambda (r s) (format "%d^^%s" r s)))) | |
| 1934 | ||
| 7cf24610 JB |
1935 | (put 'math 'math-lang-read |
| 1936 | '((eq (string-match "\\[\\[\\|->\\|:>" math-exp-str math-exp-pos) | |
| 1937 | math-exp-pos) | |
| 1938 | (setq math-exp-token 'punc | |
| 1939 | math-expr-data (math-match-substring math-exp-str 0) | |
| 1940 | math-exp-pos (match-end 0)))) | |
| 1941 | ||
| 1942 | (put 'math 'math-compose-subscr | |
| 1943 | (function | |
| 1944 | (lambda (a) | |
| 1945 | (list 'horiz | |
| 1946 | (math-compose-expr (nth 1 a) 1000) | |
| 1947 | "[[" | |
| 1948 | (math-compose-expr (nth 2 a) 0) | |
| 1949 | "]]")))) | |
| 1950 | ||
| 136211a9 EZ |
1951 | (defun math-read-math-subscr (x op) |
| 1952 | (let ((idx (math-read-expr-level 0))) | |
| 54961aa0 | 1953 | (or (and (equal math-expr-data "]") |
| 136211a9 EZ |
1954 | (progn |
| 1955 | (math-read-token) | |
| 54961aa0 | 1956 | (equal math-expr-data "]"))) |
| 136211a9 EZ |
1957 | (throw 'syntax "Expected ']]'")) |
| 1958 | (math-read-token) | |
| bf77c646 | 1959 | (list 'calcFunc-subscr x idx))) |
| 136211a9 EZ |
1960 | |
| 1961 | ||
| 1962 | (defun calc-maple-language () | |
| 1963 | (interactive) | |
| 1964 | (calc-wrapper | |
| 1965 | (calc-set-language 'maple) | |
| 3132f345 | 1966 | (message "Maple language mode"))) |
| 136211a9 EZ |
1967 | |
| 1968 | (put 'maple 'math-oper-table | |
| 1969 | '( ( "matrix" ident -1 300 ) | |
| 1970 | ( "MATRIX" ident -1 300 ) | |
| 1971 | ( "!" calcFunc-fact 210 -1 ) | |
| 1972 | ( "^" ^ 201 200 ) | |
| 1973 | ( "**" ^ 201 200 ) | |
| 1974 | ( "u+" ident -1 197 ) | |
| 1975 | ( "u-" neg -1 197 ) | |
| 1976 | ( "/" / 191 192 ) | |
| 1977 | ( "*" * 191 192 ) | |
| 1978 | ( "intersect" calcFunc-vint 191 192 ) | |
| 1979 | ( "+" + 180 181 ) | |
| 1980 | ( "-" - 180 181 ) | |
| 1981 | ( "union" calcFunc-vunion 180 181 ) | |
| 1982 | ( "minus" calcFunc-vdiff 180 181 ) | |
| 1983 | ( "mod" % 170 170 ) | |
| 1984 | ( ".." (math-read-maple-dots) 165 165 ) | |
| 1985 | ( "\\dots" (math-read-maple-dots) 165 165 ) | |
| 1986 | ( "<" calcFunc-lt 160 160 ) | |
| 1987 | ( ">" calcFunc-gt 160 160 ) | |
| 1988 | ( "<=" calcFunc-leq 160 160 ) | |
| 1989 | ( ">=" calcFunc-geq 160 160 ) | |
| 1990 | ( "=" calcFunc-eq 160 160 ) | |
| 1991 | ( "<>" calcFunc-neq 160 160 ) | |
| 1992 | ( "not" calcFunc-lnot -1 121 ) | |
| 1993 | ( "and" calcFunc-land 110 111 ) | |
| 1994 | ( "or" calcFunc-lor 100 101 ) | |
| 1995 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 1996 | ( "&&&" calcFunc-pand 80 81 ) | |
| 1997 | ( "|||" calcFunc-por 75 76 ) | |
| 1998 | ( ":=" calcFunc-assign 51 50 ) | |
| 1999 | ( "::" calcFunc-condition 45 46 ) | |
| 2000 | )) | |
| 2001 | ||
| 2002 | (put 'maple 'math-function-table | |
| 2003 | '( ( bernoulli . calcFunc-bern ) | |
| 2004 | ( binomial . calcFunc-choose ) | |
| 2005 | ( diff . calcFunc-deriv ) | |
| 2006 | ( GAMMA . calcFunc-gamma ) | |
| 2007 | ( ifactor . calcFunc-prfac ) | |
| 2008 | ( igcd . calcFunc-gcd ) | |
| 2009 | ( ilcm . calcFunc-lcm ) | |
| 2010 | ( int . calcFunc-integ ) | |
| 2011 | ( modp . % ) | |
| 2012 | ( irem . % ) | |
| 2013 | ( iquo . calcFunc-idiv ) | |
| 2014 | ( isprime . calcFunc-prime ) | |
| 2015 | ( length . calcFunc-vlen ) | |
| 2016 | ( member . calcFunc-in ) | |
| 2017 | ( crossprod . calcFunc-cross ) | |
| 2018 | ( inverse . calcFunc-inv ) | |
| 2019 | ( trace . calcFunc-tr ) | |
| 2020 | ( transpose . calcFunc-trn ) | |
| 2021 | ( vectdim . calcFunc-vlen ) | |
| 2022 | )) | |
| 2023 | ||
| 7cf24610 JB |
2024 | (put 'maple 'math-special-function-table |
| 2025 | '((intv . math-compose-maple-intv))) | |
| 2026 | ||
| 136211a9 EZ |
2027 | (put 'maple 'math-variable-table |
| 2028 | '( ( I . var-i ) | |
| 2029 | ( Pi . var-pi ) | |
| 2030 | ( E . var-e ) | |
| 2031 | ( infinity . var-inf ) | |
| 2032 | ( infinity . var-uinf ) | |
| 2033 | ( infinity . var-nan ) | |
| 2034 | )) | |
| 2035 | ||
| 2036 | (put 'maple 'math-complex-format 'I) | |
| 2037 | ||
| 7cf24610 JB |
2038 | (put 'maple 'math-matrix-formatter |
| 2039 | (function | |
| 2040 | (lambda (a) | |
| 2041 | (list 'horiz | |
| 2042 | "matrix(" | |
| 2043 | math-comp-left-bracket | |
| be19ef0b | 2044 | (math-compose-vector (cdr a) |
| 7cf24610 JB |
2045 | (concat math-comp-comma " ") |
| 2046 | math-comp-vector-prec) | |
| 2047 | math-comp-right-bracket | |
| 2048 | ")")))) | |
| 2049 | ||
| 2050 | (put 'maple 'math-compose-subscr | |
| 2051 | (function | |
| 2052 | (lambda (a) | |
| 2053 | (let ((args (cdr (cdr a)))) | |
| 2054 | (list 'horiz | |
| 2055 | (math-compose-expr (nth 1 a) 1000) | |
| 2056 | "[" | |
| 2057 | (math-compose-vector args ", " 0) | |
| 2058 | "]"))))) | |
| 2059 | ||
| 2060 | (add-to-list 'calc-lang-allow-underscores 'maple) | |
| 2061 | (add-to-list 'calc-lang-brackets-are-subscripts 'maple) | |
| 2062 | ||
| 2063 | (defun math-compose-maple-intv (a) | |
| 2064 | (list 'horiz | |
| 2065 | (math-compose-expr (nth 2 a) 0) | |
| 2066 | " .. " | |
| 2067 | (math-compose-expr (nth 3 a) 0))) | |
| 2068 | ||
| 136211a9 | 2069 | (defun math-read-maple-dots (x op) |
| bf77c646 | 2070 | (list 'intv 3 x (math-read-expr-level (nth 3 op)))) |
| 136211a9 EZ |
2071 | |
| 2072 | ||
| 8cd2540e JB |
2073 | ;; The variable math-read-big-lines is local to math-read-big-expr in |
| 2074 | ;; calc-ext.el, but is used by math-read-big-rec, math-read-big-char, | |
| 2075 | ;; math-read-big-emptyp, math-read-big-error and math-read-big-balance, | |
| 2076 | ;; which are called (directly and indirectly) by math-read-big-expr. | |
| 2077 | ;; It is also local to math-read-big-bigp in calc-ext.el, which calls | |
| 2078 | ;; math-read-big-balance. | |
| 2079 | (defvar math-read-big-lines) | |
| 2080 | ||
| 2081 | ;; The variables math-read-big-baseline and math-read-big-h2 are | |
| 2082 | ;; local to math-read-big-expr in calc-ext.el, but used by | |
| 2083 | ;; math-read-big-rec. | |
| 2084 | (defvar math-read-big-baseline) | |
| 2085 | (defvar math-read-big-h2) | |
| 2086 | ||
| be19ef0b GM |
2087 | ;; The variables math-rb-h1, math-rb-h2, math-rb-v1 and math-rb-v2 |
| 2088 | ;; are local to math-read-big-rec, but are used by math-read-big-char, | |
| 2089 | ;; math-read-big-emptyp and math-read-big-balance which are called by | |
| 8cd2540e JB |
2090 | ;; math-read-big-rec. |
| 2091 | ;; math-rb-h2 is also local to math-read-big-bigp in calc-ext.el, | |
| 2092 | ;; which calls math-read-big-balance. | |
| 2093 | (defvar math-rb-h1) | |
| 2094 | (defvar math-rb-h2) | |
| 2095 | (defvar math-rb-v1) | |
| 2096 | (defvar math-rb-v2) | |
| 2097 | ||
| be19ef0b | 2098 | (defun math-read-big-rec (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2 |
| 8cd2540e | 2099 | &optional baseline prec short) |
| 136211a9 EZ |
2100 | (or prec (setq prec 0)) |
| 2101 | ||
| 2102 | ;; Clip whitespace above or below. | |
| be19ef0b | 2103 | (while (and (< math-rb-v1 math-rb-v2) |
| 8cd2540e JB |
2104 | (math-read-big-emptyp math-rb-h1 math-rb-v1 math-rb-h2 (1+ math-rb-v1))) |
| 2105 | (setq math-rb-v1 (1+ math-rb-v1))) | |
| be19ef0b | 2106 | (while (and (< math-rb-v1 math-rb-v2) |
| 8cd2540e JB |
2107 | (math-read-big-emptyp math-rb-h1 (1- math-rb-v2) math-rb-h2 math-rb-v2)) |
| 2108 | (setq math-rb-v2 (1- math-rb-v2))) | |
| 136211a9 EZ |
2109 | |
| 2110 | ;; If formula is a single line high, normal parser can handle it. | |
| 8cd2540e JB |
2111 | (if (<= math-rb-v2 (1+ math-rb-v1)) |
| 2112 | (if (or (<= math-rb-v2 math-rb-v1) | |
| be19ef0b | 2113 | (> math-rb-h1 (length (setq math-rb-v2 |
| 8cd2540e JB |
2114 | (nth math-rb-v1 math-read-big-lines))))) |
| 2115 | (math-read-big-error math-rb-h1 math-rb-v1) | |
| 2116 | (setq math-read-big-baseline math-rb-v1 | |
| 2117 | math-read-big-h2 math-rb-h2 | |
| 2118 | math-rb-v2 (nth math-rb-v1 math-read-big-lines) | |
| be19ef0b GM |
2119 | math-rb-h2 (math-read-expr |
| 2120 | (substring math-rb-v2 math-rb-h1 | |
| 8cd2540e JB |
2121 | (min math-rb-h2 (length math-rb-v2))))) |
| 2122 | (if (eq (car-safe math-rb-h2) 'error) | |
| be19ef0b | 2123 | (math-read-big-error (+ math-rb-h1 (nth 1 math-rb-h2)) |
| 8cd2540e JB |
2124 | math-rb-v1 (nth 2 math-rb-h2)) |
| 2125 | math-rb-h2)) | |
| 136211a9 EZ |
2126 | |
| 2127 | ;; Clip whitespace at left or right. | |
| be19ef0b | 2128 | (while (and (< math-rb-h1 math-rb-h2) |
| 8cd2540e JB |
2129 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) math-rb-v2)) |
| 2130 | (setq math-rb-h1 (1+ math-rb-h1))) | |
| be19ef0b | 2131 | (while (and (< math-rb-h1 math-rb-h2) |
| 8cd2540e JB |
2132 | (math-read-big-emptyp (1- math-rb-h2) math-rb-v1 math-rb-h2 math-rb-v2)) |
| 2133 | (setq math-rb-h2 (1- math-rb-h2))) | |
| 136211a9 EZ |
2134 | |
| 2135 | ;; Scan to find widest left-justified "----" in the region. | |
| 2136 | (let* ((widest nil) | |
| 2137 | (widest-h2 0) | |
| 8cd2540e | 2138 | (lines-v1 (nthcdr math-rb-v1 math-read-big-lines)) |
| 136211a9 | 2139 | (p lines-v1) |
| 8cd2540e | 2140 | (v math-rb-v1) |
| 136211a9 EZ |
2141 | (other-v nil) |
| 2142 | other-char line len h) | |
| 8cd2540e | 2143 | (while (< v math-rb-v2) |
| 136211a9 | 2144 | (setq line (car p) |
| 8cd2540e JB |
2145 | len (min math-rb-h2 (length line))) |
| 2146 | (and (< math-rb-h1 len) | |
| 2147 | (/= (aref line math-rb-h1) ?\ ) | |
| 2148 | (if (and (= (aref line math-rb-h1) ?\-) | |
| 136211a9 | 2149 | ;; Make sure it's not a minus sign. |
| be19ef0b | 2150 | (or (and (< (1+ math-rb-h1) len) |
| 8cd2540e JB |
2151 | (= (aref line (1+ math-rb-h1)) ?\-)) |
| 2152 | (/= (math-read-big-char math-rb-h1 (1- v)) ?\ ) | |
| 2153 | (/= (math-read-big-char math-rb-h1 (1+ v)) ?\ ))) | |
| 136211a9 | 2154 | (progn |
| 8cd2540e | 2155 | (setq h math-rb-h1) |
| 136211a9 EZ |
2156 | (while (and (< (setq h (1+ h)) len) |
| 2157 | (= (aref line h) ?\-))) | |
| 2158 | (if (> h widest-h2) | |
| 2159 | (setq widest v | |
| 2160 | widest-h2 h))) | |
| 8cd2540e | 2161 | (or other-v (setq other-v v other-char (aref line math-rb-h1))))) |
| 136211a9 EZ |
2162 | (setq v (1+ v) |
| 2163 | p (cdr p))) | |
| 2164 | ||
| 2165 | (cond ((not (setq v other-v)) | |
| 8cd2540e | 2166 | (math-read-big-error math-rb-h1 math-rb-v1)) ; Should never happen! |
| 136211a9 EZ |
2167 | |
| 2168 | ;; Quotient. | |
| 2169 | (widest | |
| 2170 | (setq h widest-h2 | |
| 2171 | v widest) | |
| 8cd2540e JB |
2172 | (let ((num (math-read-big-rec math-rb-h1 math-rb-v1 h v)) |
| 2173 | (den (math-read-big-rec math-rb-h1 (1+ v) h math-rb-v2))) | |
| 136211a9 EZ |
2174 | (setq p (if (and (math-integerp num) (math-integerp den)) |
| 2175 | (math-make-frac num den) | |
| 2176 | (list '/ num den))))) | |
| 2177 | ||
| 2178 | ;; Big radical sign. | |
| 2179 | ((= other-char ?\\) | |
| 8cd2540e JB |
2180 | (or (= (math-read-big-char (1+ math-rb-h1) v) ?\|) |
| 2181 | (math-read-big-error (1+ math-rb-h1) v "Malformed root sign")) | |
| 2182 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) | |
| 2183 | (while (= (math-read-big-char (1+ math-rb-h1) (setq v (1- v))) ?\|)) | |
| 2184 | (or (= (math-read-big-char (setq h (+ math-rb-h1 2)) v) ?\_) | |
| 136211a9 EZ |
2185 | (math-read-big-error h v "Malformed root sign")) |
| 2186 | (while (= (math-read-big-char (setq h (1+ h)) v) ?\_)) | |
| 8cd2540e JB |
2187 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) |
| 2188 | (math-read-big-emptyp math-rb-h1 (1+ other-v) h math-rb-v2 nil t) | |
| 136211a9 | 2189 | (setq p (list 'calcFunc-sqrt (math-read-big-rec |
| 8cd2540e | 2190 | (+ math-rb-h1 2) (1+ v) |
| 136211a9 | 2191 | h (1+ other-v) baseline)) |
| 8cd2540e | 2192 | v math-read-big-baseline)) |
| 136211a9 EZ |
2193 | |
| 2194 | ;; Small radical sign. | |
| 2195 | ((and (= other-char ?V) | |
| 8cd2540e JB |
2196 | (= (math-read-big-char (1+ math-rb-h1) (1- v)) ?\_)) |
| 2197 | (setq h (1+ math-rb-h1)) | |
| 2198 | (math-read-big-emptyp math-rb-h1 math-rb-v1 h (1- v) nil t) | |
| 2199 | (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t) | |
| 2200 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) | |
| 136211a9 EZ |
2201 | (while (= (math-read-big-char (setq h (1+ h)) (1- v)) ?\_)) |
| 2202 | (setq p (list 'calcFunc-sqrt (math-read-big-rec | |
| 8cd2540e JB |
2203 | (1+ math-rb-h1) v h (1+ v) t)) |
| 2204 | v math-read-big-baseline)) | |
| 136211a9 EZ |
2205 | |
| 2206 | ;; Binomial coefficient. | |
| 2207 | ((and (= other-char ?\() | |
| 8cd2540e | 2208 | (= (math-read-big-char (1+ math-rb-h1) v) ?\ ) |
| be19ef0b | 2209 | (= (string-match "( *)" (nth v math-read-big-lines) |
| 8cd2540e | 2210 | math-rb-h1) math-rb-h1)) |
| 136211a9 | 2211 | (setq h (match-end 0)) |
| 8cd2540e JB |
2212 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) |
| 2213 | (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t) | |
| 2214 | (math-read-big-emptyp (1- h) math-rb-v1 h v nil t) | |
| 2215 | (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t) | |
| 136211a9 | 2216 | (setq p (list 'calcFunc-choose |
| 8cd2540e JB |
2217 | (math-read-big-rec (1+ math-rb-h1) math-rb-v1 (1- h) v) |
| 2218 | (math-read-big-rec (1+ math-rb-h1) (1+ v) | |
| 2219 | (1- h) math-rb-v2)))) | |
| 136211a9 EZ |
2220 | |
| 2221 | ;; Minus sign. | |
| 2222 | ((= other-char ?\-) | |
| be19ef0b | 2223 | (setq p (list 'neg (math-read-big-rec (1+ math-rb-h1) math-rb-v1 |
| 8cd2540e JB |
2224 | math-rb-h2 math-rb-v2 v 250 t)) |
| 2225 | v math-read-big-baseline | |
| 2226 | h math-read-big-h2)) | |
| 136211a9 EZ |
2227 | |
| 2228 | ;; Parentheses. | |
| 2229 | ((= other-char ?\() | |
| 8cd2540e JB |
2230 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) |
| 2231 | (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t) | |
| 2232 | (setq h (math-read-big-balance (1+ math-rb-h1) v "(" t)) | |
| 2233 | (math-read-big-emptyp (1- h) math-rb-v1 h v nil t) | |
| 2234 | (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t) | |
| 136211a9 EZ |
2235 | (let ((sep (math-read-big-char (1- h) v)) |
| 2236 | hmid) | |
| 2237 | (if (= sep ?\.) | |
| 2238 | (setq h (1+ h))) | |
| 2239 | (if (= sep ?\]) | |
| 2240 | (math-read-big-error (1- h) v "Expected `)'")) | |
| 2241 | (if (= sep ?\)) | |
| be19ef0b | 2242 | (setq p (math-read-big-rec |
| 8cd2540e | 2243 | (1+ math-rb-h1) math-rb-v1 (1- h) math-rb-v2 v)) |
| 136211a9 | 2244 | (setq hmid (math-read-big-balance h v "(") |
| be19ef0b | 2245 | p (list p |
| 8cd2540e | 2246 | (math-read-big-rec h math-rb-v1 (1- hmid) math-rb-v2 v)) |
| 136211a9 EZ |
2247 | h hmid) |
| 2248 | (cond ((= sep ?\.) | |
| 2249 | (setq p (cons 'intv (cons (if (= (math-read-big-char | |
| 2250 | (1- h) v) | |
| 2251 | ?\)) | |
| 2252 | 0 1) | |
| 2253 | p)))) | |
| 2254 | ((= (math-read-big-char (1- h) v) ?\]) | |
| 2255 | (math-read-big-error (1- h) v "Expected `)'")) | |
| 2256 | ((= sep ?\,) | |
| 2257 | (or (and (math-realp (car p)) (math-realp (nth 1 p))) | |
| 2258 | (math-read-big-error | |
| 8cd2540e | 2259 | math-rb-h1 v "Complex components must be real")) |
| 136211a9 EZ |
2260 | (setq p (cons 'cplx p))) |
| 2261 | ((= sep ?\;) | |
| 2262 | (or (and (math-realp (car p)) (math-anglep (nth 1 p))) | |
| 2263 | (math-read-big-error | |
| 8cd2540e | 2264 | math-rb-h1 v "Complex components must be real")) |
| 136211a9 EZ |
2265 | (setq p (cons 'polar p))))))) |
| 2266 | ||
| 2267 | ;; Matrix. | |
| 2268 | ((and (= other-char ?\[) | |
| 8cd2540e | 2269 | (or (= (math-read-big-char (setq h math-rb-h1) (1+ v)) ?\[) |
| 136211a9 EZ |
2270 | (= (math-read-big-char (setq h (1+ h)) v) ?\[) |
| 2271 | (and (= (math-read-big-char h v) ?\ ) | |
| 2272 | (= (math-read-big-char (setq h (1+ h)) v) ?\[))) | |
| 2273 | (= (math-read-big-char h (1+ v)) ?\[)) | |
| 8cd2540e | 2274 | (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t) |
| 136211a9 EZ |
2275 | (let ((vtop v) |
| 2276 | (hleft h) | |
| 2277 | (hright nil)) | |
| 2278 | (setq p nil) | |
| 2279 | (while (progn | |
| 2280 | (setq h (math-read-big-balance (1+ hleft) v "[")) | |
| 2281 | (if hright | |
| 2282 | (or (= h hright) | |
| 2283 | (math-read-big-error hright v "Expected `]'")) | |
| 2284 | (setq hright h)) | |
| 2285 | (setq p (cons (math-read-big-rec | |
| 2286 | hleft v h (1+ v)) p)) | |
| 2287 | (and (memq (math-read-big-char h v) '(?\ ?\,)) | |
| 2288 | (= (math-read-big-char hleft (1+ v)) ?\[))) | |
| 2289 | (setq v (1+ v))) | |
| 8cd2540e | 2290 | (or (= hleft math-rb-h1) |
| 136211a9 EZ |
2291 | (progn |
| 2292 | (if (= (math-read-big-char h v) ?\ ) | |
| 2293 | (setq h (1+ h))) | |
| 2294 | (and (= (math-read-big-char h v) ?\]) | |
| 2295 | (setq h (1+ h)))) | |
| 2296 | (math-read-big-error (1- h) v "Expected `]'")) | |
| 2297 | (if (= (math-read-big-char h vtop) ?\,) | |
| 2298 | (setq h (1+ h))) | |
| 8cd2540e | 2299 | (math-read-big-emptyp math-rb-h1 (1+ v) (1- h) math-rb-v2 nil t) |
| 136211a9 EZ |
2300 | (setq v (+ vtop (/ (- v vtop) 2)) |
| 2301 | p (cons 'vec (nreverse p))))) | |
| 2302 | ||
| 2303 | ;; Square brackets. | |
| 2304 | ((= other-char ?\[) | |
| 8cd2540e JB |
2305 | (math-read-big-emptyp math-rb-h1 math-rb-v1 (1+ math-rb-h1) v nil t) |
| 2306 | (math-read-big-emptyp math-rb-h1 (1+ v) (1+ math-rb-h1) math-rb-v2 nil t) | |
| 136211a9 | 2307 | (setq p nil |
| 8cd2540e | 2308 | h (1+ math-rb-h1)) |
| 136211a9 EZ |
2309 | (while (progn |
| 2310 | (setq widest (math-read-big-balance h v "[" t)) | |
| 8cd2540e JB |
2311 | (math-read-big-emptyp (1- h) math-rb-v1 h v nil t) |
| 2312 | (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t) | |
| 136211a9 | 2313 | (setq p (cons (math-read-big-rec |
| 8cd2540e | 2314 | h math-rb-v1 (1- widest) math-rb-v2 v) p) |
| 136211a9 EZ |
2315 | h widest) |
| 2316 | (= (math-read-big-char (1- h) v) ?\,))) | |
| 2317 | (setq widest (math-read-big-char (1- h) v)) | |
| 2318 | (if (or (memq widest '(?\; ?\))) | |
| 2319 | (and (eq widest ?\.) (cdr p))) | |
| 2320 | (math-read-big-error (1- h) v "Expected `]'")) | |
| 2321 | (if (= widest ?\.) | |
| 2322 | (setq h (1+ h) | |
| 2323 | widest (math-read-big-balance h v "[") | |
| 8cd2540e JB |
2324 | p (nconc p (list (math-read-big-rec |
| 2325 | h math-rb-v1 (1- widest) math-rb-v2 v))) | |
| 136211a9 EZ |
2326 | h widest |
| 2327 | p (cons 'intv (cons (if (= (math-read-big-char (1- h) v) | |
| 2328 | ?\]) | |
| 2329 | 3 2) | |
| 2330 | p))) | |
| 2331 | (setq p (cons 'vec (nreverse p))))) | |
| 2332 | ||
| 2333 | ;; Date form. | |
| 2334 | ((= other-char ?\<) | |
| 8cd2540e JB |
2335 | (setq line (nth v math-read-big-lines)) |
| 2336 | (string-match ">" line math-rb-h1) | |
| 136211a9 | 2337 | (setq h (match-end 0)) |
| 8cd2540e JB |
2338 | (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t) |
| 2339 | (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t) | |
| 2340 | (setq p (math-read-big-rec math-rb-h1 v h (1+ v) v))) | |
| 136211a9 EZ |
2341 | |
| 2342 | ;; Variable name or function call. | |
| 2343 | ((or (and (>= other-char ?a) (<= other-char ?z)) | |
| ae6bc504 JB |
2344 | (and (>= other-char ?A) (<= other-char ?Z)) |
| 2345 | (and (>= other-char ?α) (<= other-char ?ω)) | |
| 2346 | (and (>= other-char ?Α) (<= other-char ?Ω))) | |
| 8cd2540e | 2347 | (setq line (nth v math-read-big-lines)) |
| ae6bc504 | 2348 | (string-match "\\([a-zA-Zα-ωΑ-Ω'_]+\\) *" line math-rb-h1) |
| 136211a9 EZ |
2349 | (setq h (match-end 1) |
| 2350 | widest (match-end 0) | |
| 2351 | p (math-match-substring line 1)) | |
| 8cd2540e JB |
2352 | (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t) |
| 2353 | (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t) | |
| 136211a9 EZ |
2354 | (if (= (math-read-big-char widest v) ?\() |
| 2355 | (progn | |
| 2356 | (setq line (if (string-match "-" p) | |
| 2357 | (intern p) | |
| 2358 | (intern (concat "calcFunc-" p))) | |
| 2359 | h (1+ widest) | |
| 2360 | p nil) | |
| 8cd2540e JB |
2361 | (math-read-big-emptyp widest math-rb-v1 h v nil t) |
| 2362 | (math-read-big-emptyp widest (1+ v) h math-rb-v2 nil t) | |
| 136211a9 EZ |
2363 | (while (progn |
| 2364 | (setq widest (math-read-big-balance h v "(" t)) | |
| 8cd2540e JB |
2365 | (math-read-big-emptyp (1- h) math-rb-v1 h v nil t) |
| 2366 | (math-read-big-emptyp (1- h) (1+ v) h math-rb-v2 nil t) | |
| 136211a9 | 2367 | (setq p (cons (math-read-big-rec |
| 8cd2540e | 2368 | h math-rb-v1 (1- widest) math-rb-v2 v) p) |
| 136211a9 EZ |
2369 | h widest) |
| 2370 | (= (math-read-big-char (1- h) v) ?\,))) | |
| 2371 | (or (= (math-read-big-char (1- h) v) ?\)) | |
| 2372 | (math-read-big-error (1- h) v "Expected `)'")) | |
| 2373 | (setq p (cons line (nreverse p)))) | |
| 2374 | (setq p (list 'var | |
| 2375 | (intern (math-remove-dashes p)) | |
| 2376 | (if (string-match "-" p) | |
| 2377 | (intern p) | |
| 2378 | (intern (concat "var-" p))))))) | |
| 2379 | ||
| 2380 | ;; Number. | |
| 2381 | (t | |
| 8cd2540e JB |
2382 | (setq line (nth v math-read-big-lines)) |
| 2383 | (or (= (string-match "_?\\([0-9]+.?0*@ *\\)?\\([0-9]+.?0*' *\\)?\\([0-9]+\\(#\\|\\^\\^\\)[0-9a-zA-Z:]+\\|[0-9]+:[0-9:]+\\|[0-9.]+\\([eE][-+_]?[0-9]+\\)?\"?\\)?" line math-rb-h1) math-rb-h1) | |
| 136211a9 EZ |
2384 | (math-read-big-error h v "Expected a number")) |
| 2385 | (setq h (match-end 0) | |
| 2386 | p (math-read-number (math-match-substring line 0))) | |
| 8cd2540e JB |
2387 | (math-read-big-emptyp math-rb-h1 math-rb-v1 h v nil t) |
| 2388 | (math-read-big-emptyp math-rb-h1 (1+ v) h math-rb-v2 nil t))) | |
| 136211a9 | 2389 | |
| be19ef0b | 2390 | ;; Now left term is bounded by math-rb-h1, math-rb-v1, h, math-rb-v2; |
| 8cd2540e | 2391 | ;; baseline = v. |
| 136211a9 EZ |
2392 | (if baseline |
| 2393 | (or (= v baseline) | |
| 8cd2540e | 2394 | (math-read-big-error math-rb-h1 v "Inconsistent baseline in formula")) |
| 136211a9 EZ |
2395 | (setq baseline v)) |
| 2396 | ||
| 2397 | ;; Look for superscripts or subscripts. | |
| 8cd2540e JB |
2398 | (setq line (nth baseline math-read-big-lines) |
| 2399 | len (min math-rb-h2 (length line)) | |
| 136211a9 EZ |
2400 | widest h) |
| 2401 | (while (and (< widest len) | |
| 2402 | (= (aref line widest) ?\ )) | |
| 2403 | (setq widest (1+ widest))) | |
| 8cd2540e JB |
2404 | (and (>= widest len) (setq widest math-rb-h2)) |
| 2405 | (if (math-read-big-emptyp h v widest math-rb-v2) | |
| 2406 | (if (math-read-big-emptyp h math-rb-v1 widest v) | |
| 136211a9 | 2407 | (setq h widest) |
| 8cd2540e | 2408 | (setq p (list '^ p (math-read-big-rec h math-rb-v1 widest v)) |
| 136211a9 | 2409 | h widest)) |
| 8cd2540e | 2410 | (if (math-read-big-emptyp h math-rb-v1 widest v) |
| 136211a9 | 2411 | (setq p (list 'calcFunc-subscr p |
| 8cd2540e | 2412 | (math-read-big-rec h v widest math-rb-v2)) |
| 136211a9 EZ |
2413 | h widest))) |
| 2414 | ||
| 2415 | ;; Look for an operator name and grab additional terms. | |
| 2416 | (while (and (< h len) | |
| 2417 | (if (setq widest (and (math-read-big-emptyp | |
| 8cd2540e | 2418 | h math-rb-v1 (1+ h) v) |
| 136211a9 | 2419 | (math-read-big-emptyp |
| 8cd2540e | 2420 | h (1+ v) (1+ h) math-rb-v2) |
| 136211a9 EZ |
2421 | (string-match "<=\\|>=\\|\\+/-\\|!=\\|&&\\|||\\|:=\\|=>\\|." line h) |
| 2422 | (assoc (math-match-substring line 0) | |
| 09be88b3 | 2423 | (math-standard-ops)))) |
| 136211a9 EZ |
2424 | (and (>= (nth 2 widest) prec) |
| 2425 | (setq h (match-end 0))) | |
| 2426 | (and (not (eq (string-match ",\\|;\\|\\.\\.\\|)\\|\\]\\|:" line h) | |
| 2427 | h)) | |
| 2428 | (setq widest '("2x" * 196 195))))) | |
| 2429 | (cond ((eq (nth 3 widest) -1) | |
| 2430 | (setq p (list (nth 1 widest) p))) | |
| 2431 | ((equal (car widest) "?") | |
| be19ef0b | 2432 | (let ((y (math-read-big-rec h math-rb-v1 math-rb-h2 |
| 8cd2540e JB |
2433 | math-rb-v2 baseline nil t))) |
| 2434 | (or (= (math-read-big-char math-read-big-h2 baseline) ?\:) | |
| 2435 | (math-read-big-error math-read-big-h2 baseline "Expected `:'")) | |
| 136211a9 | 2436 | (setq p (list (nth 1 widest) p y |
| be19ef0b | 2437 | (math-read-big-rec |
| 8cd2540e JB |
2438 | (1+ math-read-big-h2) math-rb-v1 math-rb-h2 math-rb-v2 |
| 2439 | baseline (nth 3 widest) t)) | |
| 2440 | h math-read-big-h2))) | |
| 136211a9 EZ |
2441 | (t |
| 2442 | (setq p (list (nth 1 widest) p | |
| 8cd2540e | 2443 | (math-read-big-rec h math-rb-v1 math-rb-h2 math-rb-v2 |
| 136211a9 | 2444 | baseline (nth 3 widest) t)) |
| 8cd2540e | 2445 | h math-read-big-h2)))) |
| 136211a9 EZ |
2446 | |
| 2447 | ;; Return all relevant information to caller. | |
| 8cd2540e JB |
2448 | (setq math-read-big-baseline baseline |
| 2449 | math-read-big-h2 h) | |
| 2450 | (or short (= math-read-big-h2 math-rb-h2) | |
| 136211a9 | 2451 | (math-read-big-error h baseline)) |
| bf77c646 | 2452 | p))) |
| 136211a9 EZ |
2453 | |
| 2454 | (defun math-read-big-char (h v) | |
| 8cd2540e JB |
2455 | (or (and (>= h math-rb-h1) |
| 2456 | (< h math-rb-h2) | |
| 2457 | (>= v math-rb-v1) | |
| 2458 | (< v math-rb-v2) | |
| 2459 | (let ((line (nth v math-read-big-lines))) | |
| 136211a9 EZ |
2460 | (and line |
| 2461 | (< h (length line)) | |
| 2462 | (aref line h)))) | |
| bf77c646 | 2463 | ?\ )) |
| 136211a9 EZ |
2464 | |
| 2465 | (defun math-read-big-emptyp (eh1 ev1 eh2 ev2 &optional what error) | |
| 8cd2540e JB |
2466 | (and (< ev1 math-rb-v1) (setq ev1 math-rb-v1)) |
| 2467 | (and (< eh1 math-rb-h1) (setq eh1 math-rb-h1)) | |
| 2468 | (and (> ev2 math-rb-v2) (setq ev2 math-rb-v2)) | |
| 2469 | (and (> eh2 math-rb-h2) (setq eh2 math-rb-h2)) | |
| 136211a9 | 2470 | (or what (setq what ?\ )) |
| 8cd2540e | 2471 | (let ((p (nthcdr ev1 math-read-big-lines)) |
| 136211a9 EZ |
2472 | h) |
| 2473 | (while (and (< ev1 ev2) | |
| 2474 | (progn | |
| 2475 | (setq h (min eh2 (length (car p)))) | |
| 2476 | (while (and (>= (setq h (1- h)) eh1) | |
| 2477 | (= (aref (car p) h) what))) | |
| 2478 | (and error (>= h eh1) | |
| 2479 | (math-read-big-error h ev1 (if (stringp error) | |
| 2480 | error | |
| 2481 | "Whitespace expected"))) | |
| 2482 | (< h eh1))) | |
| 2483 | (setq ev1 (1+ ev1) | |
| 2484 | p (cdr p))) | |
| bf77c646 | 2485 | (>= ev1 ev2))) |
| 136211a9 | 2486 | |
| 8cd2540e JB |
2487 | ;; math-read-big-err-msg is local to math-read-big-expr in calc-ext.el, |
| 2488 | ;; but is used by math-read-big-error which is called (indirectly) by | |
| 2489 | ;; math-read-big-expr. | |
| 2490 | (defvar math-read-big-err-msg) | |
| 2491 | ||
| 136211a9 EZ |
2492 | (defun math-read-big-error (h v &optional msg) |
| 2493 | (let ((pos 0) | |
| 8cd2540e | 2494 | (p math-read-big-lines)) |
| 136211a9 EZ |
2495 | (while (> v 0) |
| 2496 | (setq pos (+ pos 1 (length (car p))) | |
| 2497 | p (cdr p) | |
| 2498 | v (1- v))) | |
| 2499 | (setq h (+ pos (min h (length (car p)))) | |
| 8cd2540e | 2500 | math-read-big-err-msg (list 'error h (or msg "Syntax error"))) |
| bf77c646 | 2501 | (throw 'syntax nil))) |
| 136211a9 EZ |
2502 | |
| 2503 | (defun math-read-big-balance (h v what &optional commas) | |
| 8cd2540e JB |
2504 | (let* ((line (nth v math-read-big-lines)) |
| 2505 | (len (min math-rb-h2 (length line))) | |
| 136211a9 EZ |
2506 | (count 1)) |
| 2507 | (while (> count 0) | |
| 2508 | (if (>= h len) | |
| 2509 | (if what | |
| 8cd2540e | 2510 | (math-read-big-error nil v (format "Unmatched `%s'" what)) |
| 136211a9 EZ |
2511 | (setq count 0)) |
| 2512 | (if (memq (aref line h) '(?\( ?\[)) | |
| 2513 | (setq count (1+ count)) | |
| 2514 | (if (if (and commas (= count 1)) | |
| 2515 | (or (memq (aref line h) '(?\) ?\] ?\, ?\;)) | |
| 2516 | (and (eq (aref line h) ?\.) | |
| 2517 | (< (1+ h) len) | |
| 2518 | (eq (aref line (1+ h)) ?\.))) | |
| 2519 | (memq (aref line h) '(?\) ?\]))) | |
| 2520 | (setq count (1- count)))) | |
| 2521 | (setq h (1+ h)))) | |
| bf77c646 | 2522 | h)) |
| 136211a9 | 2523 | |
| 4b37638f JB |
2524 | (provide 'calc-lang) |
| 2525 | ||
| be19ef0b GM |
2526 | ;; Local variables: |
| 2527 | ;; coding: utf-8 | |
| 2528 | ;; End: | |
| 2529 | ||
| bf77c646 | 2530 | ;;; calc-lang.el ends here |