HCoop / bpt / emacs.git / blame
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| 3132f345 CW |
1 | ;;; calc-lang.el --- calc language functions |
| 2 | ||
| bf77c646 | 3 | ;; Copyright (C) 1990, 1991, 1992, 1993, 2001 Free Software Foundation, Inc. |
| 3132f345 CW |
4 | |
| 5 | ;; Author: David Gillespie <daveg@synaptics.com> | |
| 6 | ;; Maintainer: Colin Walters <walters@debian.org> | |
| 136211a9 EZ |
7 | |
| 8 | ;; This file is part of GNU Emacs. | |
| 9 | ||
| 10 | ;; GNU Emacs is distributed in the hope that it will be useful, | |
| 11 | ;; but WITHOUT ANY WARRANTY. No author or distributor | |
| 12 | ;; accepts responsibility to anyone for the consequences of using it | |
| 13 | ;; or for whether it serves any particular purpose or works at all, | |
| 14 | ;; unless he says so in writing. Refer to the GNU Emacs General Public | |
| 15 | ;; License for full details. | |
| 16 | ||
| 17 | ;; Everyone is granted permission to copy, modify and redistribute | |
| 18 | ;; GNU Emacs, but only under the conditions described in the | |
| 19 | ;; GNU Emacs General Public License. A copy of this license is | |
| 20 | ;; supposed to have been given to you along with GNU Emacs so you | |
| 21 | ;; can know your rights and responsibilities. It should be in a | |
| 22 | ;; file named COPYING. Among other things, the copyright notice | |
| 23 | ;; and this notice must be preserved on all copies. | |
| 24 | ||
| 3132f345 CW |
25 | ;;; Commentary: |
| 26 | ||
| 27 | ;;; Code: | |
| 136211a9 EZ |
28 | |
| 29 | ||
| 30 | ;; This file is autoloaded from calc-ext.el. | |
| 31 | (require 'calc-ext) | |
| 32 | ||
| 33 | (require 'calc-macs) | |
| 34 | ||
| 35 | (defun calc-Need-calc-lang () nil) | |
| 36 | ||
| 37 | ||
| 38 | ;;; Alternate entry/display languages. | |
| 39 | ||
| 40 | (defun calc-set-language (lang &optional option no-refresh) | |
| 41 | (setq math-expr-opers (or (get lang 'math-oper-table) math-standard-opers) | |
| 42 | math-expr-function-mapping (get lang 'math-function-table) | |
| 43 | math-expr-variable-mapping (get lang 'math-variable-table) | |
| 44 | calc-language-input-filter (get lang 'math-input-filter) | |
| 45 | calc-language-output-filter (get lang 'math-output-filter) | |
| 46 | calc-vector-brackets (or (get lang 'math-vector-brackets) "[]") | |
| 47 | calc-complex-format (get lang 'math-complex-format) | |
| 48 | calc-radix-formatter (get lang 'math-radix-formatter) | |
| 49 | calc-function-open (or (get lang 'math-function-open) "(") | |
| 50 | calc-function-close (or (get lang 'math-function-close) ")")) | |
| 51 | (if no-refresh | |
| 52 | (setq calc-language lang | |
| 53 | calc-language-option option) | |
| 54 | (calc-change-mode '(calc-language calc-language-option) | |
| bf77c646 | 55 | (list lang option) t))) |
| 136211a9 EZ |
56 | |
| 57 | (defun calc-normal-language () | |
| 58 | (interactive) | |
| 59 | (calc-wrapper | |
| 60 | (calc-set-language nil) | |
| 3132f345 | 61 | (message "Normal language mode"))) |
| 136211a9 EZ |
62 | |
| 63 | (defun calc-flat-language () | |
| 64 | (interactive) | |
| 65 | (calc-wrapper | |
| 66 | (calc-set-language 'flat) | |
| 3132f345 | 67 | (message "Flat language mode (all stack entries shown on one line)"))) |
| 136211a9 EZ |
68 | |
| 69 | (defun calc-big-language () | |
| 70 | (interactive) | |
| 71 | (calc-wrapper | |
| 72 | (calc-set-language 'big) | |
| 3132f345 | 73 | (message "\"Big\" language mode"))) |
| 136211a9 EZ |
74 | |
| 75 | (defun calc-unformatted-language () | |
| 76 | (interactive) | |
| 77 | (calc-wrapper | |
| 78 | (calc-set-language 'unform) | |
| 3132f345 | 79 | (message "Unformatted language mode"))) |
| 136211a9 EZ |
80 | |
| 81 | ||
| 82 | (defun calc-c-language () | |
| 83 | (interactive) | |
| 84 | (calc-wrapper | |
| 85 | (calc-set-language 'c) | |
| 3132f345 | 86 | (message "`C' language mode"))) |
| 136211a9 EZ |
87 | |
| 88 | (put 'c 'math-oper-table | |
| 89 | '( ( "u+" ident -1 1000 ) | |
| 90 | ( "u-" neg -1 1000 ) | |
| 91 | ( "u!" calcFunc-lnot -1 1000 ) | |
| 92 | ( "~" calcFunc-not -1 1000 ) | |
| 93 | ( "*" * 190 191 ) | |
| 94 | ( "/" / 190 191 ) | |
| 95 | ( "%" % 190 191 ) | |
| 96 | ( "+" + 180 181 ) | |
| 97 | ( "-" - 180 181 ) | |
| 98 | ( "<<" calcFunc-lsh 170 171 ) | |
| 99 | ( ">>" calcFunc-rsh 170 171 ) | |
| 100 | ( "<" calcFunc-lt 160 161 ) | |
| 101 | ( ">" calcFunc-gt 160 161 ) | |
| 102 | ( "<=" calcFunc-leq 160 161 ) | |
| 103 | ( ">=" calcFunc-geq 160 161 ) | |
| 104 | ( "==" calcFunc-eq 150 151 ) | |
| 105 | ( "!=" calcFunc-neq 150 151 ) | |
| 106 | ( "&" calcFunc-and 140 141 ) | |
| 107 | ( "^" calcFunc-xor 131 130 ) | |
| 108 | ( "|" calcFunc-or 120 121 ) | |
| 109 | ( "&&" calcFunc-land 110 111 ) | |
| 110 | ( "||" calcFunc-lor 100 101 ) | |
| 111 | ( "?" (math-read-if) 91 90 ) | |
| 112 | ( "!!!" calcFunc-pnot -1 88 ) | |
| 113 | ( "&&&" calcFunc-pand 85 86 ) | |
| 114 | ( "|||" calcFunc-por 75 76 ) | |
| 115 | ( "=" calcFunc-assign 51 50 ) | |
| 116 | ( ":=" calcFunc-assign 51 50 ) | |
| bf77c646 | 117 | ( "::" calcFunc-condition 45 46 ))) ; should support full assignments |
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118 | |
| 119 | (put 'c 'math-function-table | |
| 120 | '( ( acos . calcFunc-arccos ) | |
| 121 | ( acosh . calcFunc-arccosh ) | |
| 122 | ( asin . calcFunc-arcsin ) | |
| 123 | ( asinh . calcFunc-arcsinh ) | |
| 124 | ( atan . calcFunc-arctan ) | |
| 125 | ( atan2 . calcFunc-arctan2 ) | |
| bf77c646 | 126 | ( atanh . calcFunc-arctanh ))) |
| 136211a9 EZ |
127 | |
| 128 | (put 'c 'math-variable-table | |
| 129 | '( ( M_PI . var-pi ) | |
| bf77c646 | 130 | ( M_E . var-e ))) |
| 136211a9 EZ |
131 | |
| 132 | (put 'c 'math-vector-brackets "{}") | |
| 133 | ||
| 134 | (put 'c 'math-radix-formatter | |
| 135 | (function (lambda (r s) | |
| 136 | (if (= r 16) (format "0x%s" s) | |
| 137 | (if (= r 8) (format "0%s" s) | |
| 138 | (format "%d#%s" r s)))))) | |
| 139 | ||
| 140 | ||
| 141 | (defun calc-pascal-language (n) | |
| 142 | (interactive "P") | |
| 143 | (calc-wrapper | |
| 144 | (and n (setq n (prefix-numeric-value n))) | |
| 145 | (calc-set-language 'pascal n) | |
| 146 | (message (if (and n (/= n 0)) | |
| 147 | (if (> n 0) | |
| 3132f345 CW |
148 | "Pascal language mode (all uppercase)" |
| 149 | "Pascal language mode (all lowercase)") | |
| 150 | "Pascal language mode")))) | |
| 136211a9 EZ |
151 | |
| 152 | (put 'pascal 'math-oper-table | |
| 153 | '( ( "not" calcFunc-lnot -1 1000 ) | |
| 154 | ( "*" * 190 191 ) | |
| 155 | ( "/" / 190 191 ) | |
| 156 | ( "and" calcFunc-and 190 191 ) | |
| 157 | ( "div" calcFunc-idiv 190 191 ) | |
| 158 | ( "mod" % 190 191 ) | |
| 159 | ( "u+" ident -1 185 ) | |
| 160 | ( "u-" neg -1 185 ) | |
| 161 | ( "+" + 180 181 ) | |
| 162 | ( "-" - 180 181 ) | |
| 163 | ( "or" calcFunc-or 180 181 ) | |
| 164 | ( "xor" calcFunc-xor 180 181 ) | |
| 165 | ( "shl" calcFunc-lsh 180 181 ) | |
| 166 | ( "shr" calcFunc-rsh 180 181 ) | |
| 167 | ( "in" calcFunc-in 160 161 ) | |
| 168 | ( "<" calcFunc-lt 160 161 ) | |
| 169 | ( ">" calcFunc-gt 160 161 ) | |
| 170 | ( "<=" calcFunc-leq 160 161 ) | |
| 171 | ( ">=" calcFunc-geq 160 161 ) | |
| 172 | ( "=" calcFunc-eq 160 161 ) | |
| 173 | ( "<>" calcFunc-neq 160 161 ) | |
| 174 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 175 | ( "&&&" calcFunc-pand 80 81 ) | |
| 176 | ( "|||" calcFunc-por 75 76 ) | |
| 177 | ( ":=" calcFunc-assign 51 50 ) | |
| bf77c646 | 178 | ( "::" calcFunc-condition 45 46 ))) |
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179 | |
| 180 | (put 'pascal 'math-input-filter 'calc-input-case-filter) | |
| 181 | (put 'pascal 'math-output-filter 'calc-output-case-filter) | |
| 182 | ||
| 183 | (put 'pascal 'math-radix-formatter | |
| 184 | (function (lambda (r s) | |
| 185 | (if (= r 16) (format "$%s" s) | |
| 186 | (format "%d#%s" r s))))) | |
| 187 | ||
| 188 | (defun calc-input-case-filter (str) | |
| 189 | (cond ((or (null calc-language-option) (= calc-language-option 0)) | |
| 190 | str) | |
| 191 | (t | |
| bf77c646 | 192 | (downcase str)))) |
| 136211a9 EZ |
193 | |
| 194 | (defun calc-output-case-filter (str) | |
| 195 | (cond ((or (null calc-language-option) (= calc-language-option 0)) | |
| 196 | str) | |
| 197 | ((> calc-language-option 0) | |
| 198 | (upcase str)) | |
| 199 | (t | |
| bf77c646 | 200 | (downcase str)))) |
| 136211a9 EZ |
201 | |
| 202 | ||
| 203 | (defun calc-fortran-language (n) | |
| 204 | (interactive "P") | |
| 205 | (calc-wrapper | |
| 206 | (and n (setq n (prefix-numeric-value n))) | |
| 207 | (calc-set-language 'fortran n) | |
| 208 | (message (if (and n (/= n 0)) | |
| 209 | (if (> n 0) | |
| 3132f345 CW |
210 | "FORTRAN language mode (all uppercase)" |
| 211 | "FORTRAN language mode (all lowercase)") | |
| 212 | "FORTRAN language mode")))) | |
| 136211a9 EZ |
213 | |
| 214 | (put 'fortran 'math-oper-table | |
| 215 | '( ( "u/" (math-parse-fortran-vector) -1 1 ) | |
| 216 | ( "/" (math-parse-fortran-vector-end) 1 -1 ) | |
| 217 | ( "**" ^ 201 200 ) | |
| 218 | ( "u+" ident -1 191 ) | |
| 219 | ( "u-" neg -1 191 ) | |
| 220 | ( "*" * 190 191 ) | |
| 221 | ( "/" / 190 191 ) | |
| 222 | ( "+" + 180 181 ) | |
| 223 | ( "-" - 180 181 ) | |
| 224 | ( ".LT." calcFunc-lt 160 161 ) | |
| 225 | ( ".GT." calcFunc-gt 160 161 ) | |
| 226 | ( ".LE." calcFunc-leq 160 161 ) | |
| 227 | ( ".GE." calcFunc-geq 160 161 ) | |
| 228 | ( ".EQ." calcFunc-eq 160 161 ) | |
| 229 | ( ".NE." calcFunc-neq 160 161 ) | |
| 230 | ( ".NOT." calcFunc-lnot -1 121 ) | |
| 231 | ( ".AND." calcFunc-land 110 111 ) | |
| 232 | ( ".OR." calcFunc-lor 100 101 ) | |
| 233 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 234 | ( "&&&" calcFunc-pand 80 81 ) | |
| 235 | ( "|||" calcFunc-por 75 76 ) | |
| 236 | ( "=" calcFunc-assign 51 50 ) | |
| 237 | ( ":=" calcFunc-assign 51 50 ) | |
| bf77c646 | 238 | ( "::" calcFunc-condition 45 46 ))) |
| 136211a9 EZ |
239 | |
| 240 | (put 'fortran 'math-vector-brackets "//") | |
| 241 | ||
| 242 | (put 'fortran 'math-function-table | |
| 243 | '( ( acos . calcFunc-arccos ) | |
| 244 | ( acosh . calcFunc-arccosh ) | |
| 245 | ( aimag . calcFunc-im ) | |
| 246 | ( aint . calcFunc-ftrunc ) | |
| 247 | ( asin . calcFunc-arcsin ) | |
| 248 | ( asinh . calcFunc-arcsinh ) | |
| 249 | ( atan . calcFunc-arctan ) | |
| 250 | ( atan2 . calcFunc-arctan2 ) | |
| 251 | ( atanh . calcFunc-arctanh ) | |
| 252 | ( conjg . calcFunc-conj ) | |
| 253 | ( log . calcFunc-ln ) | |
| 254 | ( nint . calcFunc-round ) | |
| bf77c646 | 255 | ( real . calcFunc-re ))) |
| 136211a9 EZ |
256 | |
| 257 | (put 'fortran 'math-input-filter 'calc-input-case-filter) | |
| 258 | (put 'fortran 'math-output-filter 'calc-output-case-filter) | |
| 259 | ||
| 3132f345 | 260 | (defvar math-parsing-fortran-vector nil) |
| 136211a9 EZ |
261 | (defun math-parse-fortran-vector (op) |
| 262 | (let ((math-parsing-fortran-vector '(end . "\000"))) | |
| 263 | (prog1 | |
| 264 | (math-read-brackets t "]") | |
| 265 | (setq exp-token (car math-parsing-fortran-vector) | |
| bf77c646 | 266 | exp-data (cdr math-parsing-fortran-vector))))) |
| 136211a9 EZ |
267 | |
| 268 | (defun math-parse-fortran-vector-end (x op) | |
| 269 | (if math-parsing-fortran-vector | |
| 270 | (progn | |
| 271 | (setq math-parsing-fortran-vector (cons exp-token exp-data) | |
| 272 | exp-token 'end | |
| 273 | exp-data "\000") | |
| 274 | x) | |
| bf77c646 | 275 | (throw 'syntax "Unmatched closing `/'"))) |
| 136211a9 EZ |
276 | |
| 277 | (defun math-parse-fortran-subscr (sym args) | |
| 278 | (setq sym (math-build-var-name sym)) | |
| 279 | (while args | |
| 280 | (setq sym (list 'calcFunc-subscr sym (car args)) | |
| 281 | args (cdr args))) | |
| bf77c646 | 282 | sym) |
| 136211a9 EZ |
283 | |
| 284 | ||
| 285 | (defun calc-tex-language (n) | |
| 286 | (interactive "P") | |
| 287 | (calc-wrapper | |
| 288 | (and n (setq n (prefix-numeric-value n))) | |
| 289 | (calc-set-language 'tex n) | |
| 290 | (message (if (and n (/= n 0)) | |
| 291 | (if (> n 0) | |
| 3132f345 CW |
292 | "TeX language mode with \\hbox{func}(\\hbox{var})" |
| 293 | "TeX language mode with \\func{\\hbox{var}}") | |
| 294 | "TeX language mode")))) | |
| 136211a9 EZ |
295 | |
| 296 | (put 'tex 'math-oper-table | |
| 297 | '( ( "u+" ident -1 1000 ) | |
| 298 | ( "u-" neg -1 1000 ) | |
| 299 | ( "\\hat" calcFunc-hat -1 950 ) | |
| 300 | ( "\\check" calcFunc-check -1 950 ) | |
| 301 | ( "\\tilde" calcFunc-tilde -1 950 ) | |
| 302 | ( "\\acute" calcFunc-acute -1 950 ) | |
| 303 | ( "\\grave" calcFunc-grave -1 950 ) | |
| 304 | ( "\\dot" calcFunc-dot -1 950 ) | |
| 305 | ( "\\ddot" calcFunc-dotdot -1 950 ) | |
| 306 | ( "\\breve" calcFunc-breve -1 950 ) | |
| 307 | ( "\\bar" calcFunc-bar -1 950 ) | |
| 308 | ( "\\vec" calcFunc-Vec -1 950 ) | |
| 309 | ( "\\underline" calcFunc-under -1 950 ) | |
| 310 | ( "u|" calcFunc-abs -1 0 ) | |
| 311 | ( "|" closing 0 -1 ) | |
| 312 | ( "\\lfloor" calcFunc-floor -1 0 ) | |
| 313 | ( "\\rfloor" closing 0 -1 ) | |
| 314 | ( "\\lceil" calcFunc-ceil -1 0 ) | |
| 315 | ( "\\rceil" closing 0 -1 ) | |
| 316 | ( "\\pm" sdev 300 300 ) | |
| 317 | ( "!" calcFunc-fact 210 -1 ) | |
| 318 | ( "^" ^ 201 200 ) | |
| 319 | ( "_" calcFunc-subscr 201 200 ) | |
| 320 | ( "\\times" * 191 190 ) | |
| 321 | ( "*" * 191 190 ) | |
| 322 | ( "2x" * 191 190 ) | |
| 323 | ( "+" + 180 181 ) | |
| 324 | ( "-" - 180 181 ) | |
| 325 | ( "\\over" / 170 171 ) | |
| 326 | ( "/" / 170 171 ) | |
| 327 | ( "\\choose" calcFunc-choose 170 171 ) | |
| 328 | ( "\\mod" % 170 171 ) | |
| 329 | ( "<" calcFunc-lt 160 161 ) | |
| 330 | ( ">" calcFunc-gt 160 161 ) | |
| 331 | ( "\\leq" calcFunc-leq 160 161 ) | |
| 332 | ( "\\geq" calcFunc-geq 160 161 ) | |
| 333 | ( "=" calcFunc-eq 160 161 ) | |
| 334 | ( "\\neq" calcFunc-neq 160 161 ) | |
| 335 | ( "\\ne" calcFunc-neq 160 161 ) | |
| 336 | ( "\\lnot" calcFunc-lnot -1 121 ) | |
| 337 | ( "\\land" calcFunc-land 110 111 ) | |
| 338 | ( "\\lor" calcFunc-lor 100 101 ) | |
| 339 | ( "?" (math-read-if) 91 90 ) | |
| 340 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 341 | ( "&&&" calcFunc-pand 80 81 ) | |
| 342 | ( "|||" calcFunc-por 75 76 ) | |
| 343 | ( "\\gets" calcFunc-assign 51 50 ) | |
| 344 | ( ":=" calcFunc-assign 51 50 ) | |
| 345 | ( "::" calcFunc-condition 45 46 ) | |
| 346 | ( "\\to" calcFunc-evalto 40 41 ) | |
| 347 | ( "\\to" calcFunc-evalto 40 -1 ) | |
| 348 | ( "=>" calcFunc-evalto 40 41 ) | |
| bf77c646 | 349 | ( "=>" calcFunc-evalto 40 -1 ))) |
| 136211a9 EZ |
350 | |
| 351 | (put 'tex 'math-function-table | |
| 352 | '( ( \\arccos . calcFunc-arccos ) | |
| 353 | ( \\arcsin . calcFunc-arcsin ) | |
| 354 | ( \\arctan . calcFunc-arctan ) | |
| 355 | ( \\arg . calcFunc-arg ) | |
| 356 | ( \\cos . calcFunc-cos ) | |
| 357 | ( \\cosh . calcFunc-cosh ) | |
| 358 | ( \\det . calcFunc-det ) | |
| 359 | ( \\exp . calcFunc-exp ) | |
| 360 | ( \\gcd . calcFunc-gcd ) | |
| 361 | ( \\ln . calcFunc-ln ) | |
| 362 | ( \\log . calcFunc-log10 ) | |
| 363 | ( \\max . calcFunc-max ) | |
| 364 | ( \\min . calcFunc-min ) | |
| 365 | ( \\tan . calcFunc-tan ) | |
| 366 | ( \\sin . calcFunc-sin ) | |
| 367 | ( \\sinh . calcFunc-sinh ) | |
| 368 | ( \\sqrt . calcFunc-sqrt ) | |
| 369 | ( \\tanh . calcFunc-tanh ) | |
| 370 | ( \\phi . calcFunc-totient ) | |
| bf77c646 | 371 | ( \\mu . calcFunc-moebius ))) |
| 136211a9 EZ |
372 | |
| 373 | (put 'tex 'math-variable-table | |
| 374 | '( ( \\pi . var-pi ) | |
| 375 | ( \\infty . var-inf ) | |
| 376 | ( \\infty . var-uinf ) | |
| 377 | ( \\phi . var-phi ) | |
| 378 | ( \\gamma . var-gamma ) | |
| 379 | ( \\sum . (math-parse-tex-sum calcFunc-sum) ) | |
| bf77c646 | 380 | ( \\prod . (math-parse-tex-sum calcFunc-prod) ))) |
| 136211a9 EZ |
381 | |
| 382 | (put 'tex 'math-complex-format 'i) | |
| 383 | ||
| 384 | (defun math-parse-tex-sum (f val) | |
| 385 | (let (low high save) | |
| 386 | (or (equal exp-data "_") (throw 'syntax "Expected `_'")) | |
| 387 | (math-read-token) | |
| 388 | (setq save exp-old-pos) | |
| 389 | (setq low (math-read-factor)) | |
| 390 | (or (eq (car-safe low) 'calcFunc-eq) | |
| 391 | (progn | |
| 392 | (setq exp-old-pos (1+ save)) | |
| 393 | (throw 'syntax "Expected equation"))) | |
| 394 | (or (equal exp-data "^") (throw 'syntax "Expected `^'")) | |
| 395 | (math-read-token) | |
| 396 | (setq high (math-read-factor)) | |
| bf77c646 | 397 | (list (nth 2 f) (math-read-factor) (nth 1 low) (nth 2 low) high))) |
| 136211a9 EZ |
398 | |
| 399 | (defun math-tex-input-filter (str) ; allow parsing of 123\,456\,789. | |
| 400 | (while (string-match "[0-9]\\\\,[0-9]" str) | |
| 401 | (setq str (concat (substring str 0 (1+ (match-beginning 0))) | |
| 402 | (substring str (1- (match-end 0)))))) | |
| bf77c646 | 403 | str) |
| 136211a9 EZ |
404 | (put 'tex 'math-input-filter 'math-tex-input-filter) |
| 405 | ||
| 406 | ||
| 407 | (defun calc-eqn-language (n) | |
| 408 | (interactive "P") | |
| 409 | (calc-wrapper | |
| 410 | (calc-set-language 'eqn) | |
| 3132f345 | 411 | (message "Eqn language mode"))) |
| 136211a9 EZ |
412 | |
| 413 | (put 'eqn 'math-oper-table | |
| 414 | '( ( "u+" ident -1 1000 ) | |
| 415 | ( "u-" neg -1 1000 ) | |
| 416 | ( "prime" (math-parse-eqn-prime) 950 -1 ) | |
| 417 | ( "prime" calcFunc-Prime 950 -1 ) | |
| 418 | ( "dot" calcFunc-dot 950 -1 ) | |
| 419 | ( "dotdot" calcFunc-dotdot 950 -1 ) | |
| 420 | ( "hat" calcFunc-hat 950 -1 ) | |
| 421 | ( "tilde" calcFunc-tilde 950 -1 ) | |
| 422 | ( "vec" calcFunc-Vec 950 -1 ) | |
| 423 | ( "dyad" calcFunc-dyad 950 -1 ) | |
| 424 | ( "bar" calcFunc-bar 950 -1 ) | |
| 425 | ( "under" calcFunc-under 950 -1 ) | |
| 426 | ( "sub" calcFunc-subscr 931 930 ) | |
| 427 | ( "sup" ^ 921 920 ) | |
| 428 | ( "sqrt" calcFunc-sqrt -1 910 ) | |
| 429 | ( "over" / 900 901 ) | |
| 430 | ( "u|" calcFunc-abs -1 0 ) | |
| 431 | ( "|" closing 0 -1 ) | |
| 432 | ( "left floor" calcFunc-floor -1 0 ) | |
| 433 | ( "right floor" closing 0 -1 ) | |
| 434 | ( "left ceil" calcFunc-ceil -1 0 ) | |
| 435 | ( "right ceil" closing 0 -1 ) | |
| 436 | ( "+-" sdev 300 300 ) | |
| 437 | ( "!" calcFunc-fact 210 -1 ) | |
| 438 | ( "times" * 191 190 ) | |
| 439 | ( "*" * 191 190 ) | |
| 440 | ( "2x" * 191 190 ) | |
| 441 | ( "/" / 180 181 ) | |
| 442 | ( "%" % 180 181 ) | |
| 443 | ( "+" + 170 171 ) | |
| 444 | ( "-" - 170 171 ) | |
| 445 | ( "<" calcFunc-lt 160 161 ) | |
| 446 | ( ">" calcFunc-gt 160 161 ) | |
| 447 | ( "<=" calcFunc-leq 160 161 ) | |
| 448 | ( ">=" calcFunc-geq 160 161 ) | |
| 449 | ( "=" calcFunc-eq 160 161 ) | |
| 450 | ( "==" calcFunc-eq 160 161 ) | |
| 451 | ( "!=" calcFunc-neq 160 161 ) | |
| 452 | ( "u!" calcFunc-lnot -1 121 ) | |
| 453 | ( "&&" calcFunc-land 110 111 ) | |
| 454 | ( "||" calcFunc-lor 100 101 ) | |
| 455 | ( "?" (math-read-if) 91 90 ) | |
| 456 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 457 | ( "&&&" calcFunc-pand 80 81 ) | |
| 458 | ( "|||" calcFunc-por 75 76 ) | |
| 459 | ( "<-" calcFunc-assign 51 50 ) | |
| 460 | ( ":=" calcFunc-assign 51 50 ) | |
| 461 | ( "::" calcFunc-condition 45 46 ) | |
| 462 | ( "->" calcFunc-evalto 40 41 ) | |
| 463 | ( "->" calcFunc-evalto 40 -1 ) | |
| 464 | ( "=>" calcFunc-evalto 40 41 ) | |
| bf77c646 | 465 | ( "=>" calcFunc-evalto 40 -1 ))) |
| 136211a9 EZ |
466 | |
| 467 | (put 'eqn 'math-function-table | |
| 468 | '( ( arc\ cos . calcFunc-arccos ) | |
| 469 | ( arc\ cosh . calcFunc-arccosh ) | |
| 470 | ( arc\ sin . calcFunc-arcsin ) | |
| 471 | ( arc\ sinh . calcFunc-arcsinh ) | |
| 472 | ( arc\ tan . calcFunc-arctan ) | |
| 473 | ( arc\ tanh . calcFunc-arctanh ) | |
| 474 | ( GAMMA . calcFunc-gamma ) | |
| 475 | ( phi . calcFunc-totient ) | |
| 476 | ( mu . calcFunc-moebius ) | |
| bf77c646 | 477 | ( matrix . (math-parse-eqn-matrix) ))) |
| 136211a9 EZ |
478 | |
| 479 | (put 'eqn 'math-variable-table | |
| bf77c646 | 480 | '( ( inf . var-uinf ))) |
| 136211a9 EZ |
481 | |
| 482 | (put 'eqn 'math-complex-format 'i) | |
| 483 | ||
| 484 | (defun math-parse-eqn-matrix (f sym) | |
| 485 | (let ((vec nil)) | |
| 486 | (while (assoc exp-data '(("ccol") ("lcol") ("rcol"))) | |
| 487 | (math-read-token) | |
| 488 | (or (equal exp-data calc-function-open) | |
| 489 | (throw 'syntax "Expected `{'")) | |
| 490 | (math-read-token) | |
| 491 | (setq vec (cons (cons 'vec (math-read-expr-list)) vec)) | |
| 492 | (or (equal exp-data calc-function-close) | |
| 493 | (throw 'syntax "Expected `}'")) | |
| 494 | (math-read-token)) | |
| 495 | (or (equal exp-data calc-function-close) | |
| 496 | (throw 'syntax "Expected `}'")) | |
| 497 | (math-read-token) | |
| bf77c646 | 498 | (math-transpose (cons 'vec (nreverse vec))))) |
| 136211a9 EZ |
499 | |
| 500 | (defun math-parse-eqn-prime (x sym) | |
| 501 | (if (eq (car-safe x) 'var) | |
| 502 | (if (equal exp-data calc-function-open) | |
| 503 | (progn | |
| 504 | (math-read-token) | |
| 505 | (let ((args (if (or (equal exp-data calc-function-close) | |
| 506 | (eq exp-token 'end)) | |
| 507 | nil | |
| 508 | (math-read-expr-list)))) | |
| 509 | (if (not (or (equal exp-data calc-function-close) | |
| 510 | (eq exp-token 'end))) | |
| 511 | (throw 'syntax "Expected `)'")) | |
| 512 | (math-read-token) | |
| 513 | (cons (intern (format "calcFunc-%s'" (nth 1 x))) args))) | |
| 514 | (list 'var | |
| 515 | (intern (concat (symbol-name (nth 1 x)) "'")) | |
| 516 | (intern (concat (symbol-name (nth 2 x)) "'")))) | |
| bf77c646 | 517 | (list 'calcFunc-Prime x))) |
| 136211a9 EZ |
518 | |
| 519 | ||
| 520 | (defun calc-mathematica-language () | |
| 521 | (interactive) | |
| 522 | (calc-wrapper | |
| 523 | (calc-set-language 'math) | |
| 3132f345 | 524 | (message "Mathematica language mode"))) |
| 136211a9 EZ |
525 | |
| 526 | (put 'math 'math-oper-table | |
| 527 | '( ( "[[" (math-read-math-subscr) 250 -1 ) | |
| 528 | ( "!" calcFunc-fact 210 -1 ) | |
| 529 | ( "!!" calcFunc-dfact 210 -1 ) | |
| 530 | ( "^" ^ 201 200 ) | |
| 531 | ( "u+" ident -1 197 ) | |
| 532 | ( "u-" neg -1 197 ) | |
| 533 | ( "/" / 195 196 ) | |
| 534 | ( "*" * 190 191 ) | |
| 535 | ( "2x" * 190 191 ) | |
| 536 | ( "+" + 180 181 ) | |
| 537 | ( "-" - 180 181 ) | |
| 538 | ( "<" calcFunc-lt 160 161 ) | |
| 539 | ( ">" calcFunc-gt 160 161 ) | |
| 540 | ( "<=" calcFunc-leq 160 161 ) | |
| 541 | ( ">=" calcFunc-geq 160 161 ) | |
| 542 | ( "==" calcFunc-eq 150 151 ) | |
| 543 | ( "!=" calcFunc-neq 150 151 ) | |
| 544 | ( "u!" calcFunc-lnot -1 121 ) | |
| 545 | ( "&&" calcFunc-land 110 111 ) | |
| 546 | ( "||" calcFunc-lor 100 101 ) | |
| 547 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 548 | ( "&&&" calcFunc-pand 80 81 ) | |
| 549 | ( "|||" calcFunc-por 75 76 ) | |
| 550 | ( ":=" calcFunc-assign 51 50 ) | |
| 551 | ( "=" calcFunc-assign 51 50 ) | |
| 552 | ( "->" calcFunc-assign 51 50 ) | |
| 553 | ( ":>" calcFunc-assign 51 50 ) | |
| 554 | ( "::" calcFunc-condition 45 46 ) | |
| 555 | )) | |
| 556 | ||
| 557 | (put 'math 'math-function-table | |
| 558 | '( ( Abs . calcFunc-abs ) | |
| 559 | ( ArcCos . calcFunc-arccos ) | |
| 560 | ( ArcCosh . calcFunc-arccosh ) | |
| 561 | ( ArcSin . calcFunc-arcsin ) | |
| 562 | ( ArcSinh . calcFunc-arcsinh ) | |
| 563 | ( ArcTan . calcFunc-arctan ) | |
| 564 | ( ArcTanh . calcFunc-arctanh ) | |
| 565 | ( Arg . calcFunc-arg ) | |
| 566 | ( Binomial . calcFunc-choose ) | |
| 567 | ( Ceiling . calcFunc-ceil ) | |
| 568 | ( Conjugate . calcFunc-conj ) | |
| 569 | ( Cos . calcFunc-cos ) | |
| 570 | ( Cosh . calcFunc-cosh ) | |
| 571 | ( D . calcFunc-deriv ) | |
| 572 | ( Dt . calcFunc-tderiv ) | |
| 573 | ( Det . calcFunc-det ) | |
| 574 | ( Exp . calcFunc-exp ) | |
| 575 | ( EulerPhi . calcFunc-totient ) | |
| 576 | ( Floor . calcFunc-floor ) | |
| 577 | ( Gamma . calcFunc-gamma ) | |
| 578 | ( GCD . calcFunc-gcd ) | |
| 579 | ( If . calcFunc-if ) | |
| 580 | ( Im . calcFunc-im ) | |
| 581 | ( Inverse . calcFunc-inv ) | |
| 582 | ( Integrate . calcFunc-integ ) | |
| 583 | ( Join . calcFunc-vconcat ) | |
| 584 | ( LCM . calcFunc-lcm ) | |
| 585 | ( Log . calcFunc-ln ) | |
| 586 | ( Max . calcFunc-max ) | |
| 587 | ( Min . calcFunc-min ) | |
| 588 | ( Mod . calcFunc-mod ) | |
| 589 | ( MoebiusMu . calcFunc-moebius ) | |
| 590 | ( Random . calcFunc-random ) | |
| 591 | ( Round . calcFunc-round ) | |
| 592 | ( Re . calcFunc-re ) | |
| 593 | ( Sign . calcFunc-sign ) | |
| 594 | ( Sin . calcFunc-sin ) | |
| 595 | ( Sinh . calcFunc-sinh ) | |
| 596 | ( Sqrt . calcFunc-sqrt ) | |
| 597 | ( Tan . calcFunc-tan ) | |
| 598 | ( Tanh . calcFunc-tanh ) | |
| 599 | ( Transpose . calcFunc-trn ) | |
| 600 | ( Length . calcFunc-vlen ) | |
| 601 | )) | |
| 602 | ||
| 603 | (put 'math 'math-variable-table | |
| 604 | '( ( I . var-i ) | |
| 605 | ( Pi . var-pi ) | |
| 606 | ( E . var-e ) | |
| 607 | ( GoldenRatio . var-phi ) | |
| 608 | ( EulerGamma . var-gamma ) | |
| 609 | ( Infinity . var-inf ) | |
| 610 | ( ComplexInfinity . var-uinf ) | |
| 611 | ( Indeterminate . var-nan ) | |
| 612 | )) | |
| 613 | ||
| 614 | (put 'math 'math-vector-brackets "{}") | |
| 615 | (put 'math 'math-complex-format 'I) | |
| 616 | (put 'math 'math-function-open "[") | |
| 617 | (put 'math 'math-function-close "]") | |
| 618 | ||
| 619 | (put 'math 'math-radix-formatter | |
| 620 | (function (lambda (r s) (format "%d^^%s" r s)))) | |
| 621 | ||
| 622 | (defun math-read-math-subscr (x op) | |
| 623 | (let ((idx (math-read-expr-level 0))) | |
| 624 | (or (and (equal exp-data "]") | |
| 625 | (progn | |
| 626 | (math-read-token) | |
| 627 | (equal exp-data "]"))) | |
| 628 | (throw 'syntax "Expected ']]'")) | |
| 629 | (math-read-token) | |
| bf77c646 | 630 | (list 'calcFunc-subscr x idx))) |
| 136211a9 EZ |
631 | |
| 632 | ||
| 633 | (defun calc-maple-language () | |
| 634 | (interactive) | |
| 635 | (calc-wrapper | |
| 636 | (calc-set-language 'maple) | |
| 3132f345 | 637 | (message "Maple language mode"))) |
| 136211a9 EZ |
638 | |
| 639 | (put 'maple 'math-oper-table | |
| 640 | '( ( "matrix" ident -1 300 ) | |
| 641 | ( "MATRIX" ident -1 300 ) | |
| 642 | ( "!" calcFunc-fact 210 -1 ) | |
| 643 | ( "^" ^ 201 200 ) | |
| 644 | ( "**" ^ 201 200 ) | |
| 645 | ( "u+" ident -1 197 ) | |
| 646 | ( "u-" neg -1 197 ) | |
| 647 | ( "/" / 191 192 ) | |
| 648 | ( "*" * 191 192 ) | |
| 649 | ( "intersect" calcFunc-vint 191 192 ) | |
| 650 | ( "+" + 180 181 ) | |
| 651 | ( "-" - 180 181 ) | |
| 652 | ( "union" calcFunc-vunion 180 181 ) | |
| 653 | ( "minus" calcFunc-vdiff 180 181 ) | |
| 654 | ( "mod" % 170 170 ) | |
| 655 | ( ".." (math-read-maple-dots) 165 165 ) | |
| 656 | ( "\\dots" (math-read-maple-dots) 165 165 ) | |
| 657 | ( "<" calcFunc-lt 160 160 ) | |
| 658 | ( ">" calcFunc-gt 160 160 ) | |
| 659 | ( "<=" calcFunc-leq 160 160 ) | |
| 660 | ( ">=" calcFunc-geq 160 160 ) | |
| 661 | ( "=" calcFunc-eq 160 160 ) | |
| 662 | ( "<>" calcFunc-neq 160 160 ) | |
| 663 | ( "not" calcFunc-lnot -1 121 ) | |
| 664 | ( "and" calcFunc-land 110 111 ) | |
| 665 | ( "or" calcFunc-lor 100 101 ) | |
| 666 | ( "!!!" calcFunc-pnot -1 85 ) | |
| 667 | ( "&&&" calcFunc-pand 80 81 ) | |
| 668 | ( "|||" calcFunc-por 75 76 ) | |
| 669 | ( ":=" calcFunc-assign 51 50 ) | |
| 670 | ( "::" calcFunc-condition 45 46 ) | |
| 671 | )) | |
| 672 | ||
| 673 | (put 'maple 'math-function-table | |
| 674 | '( ( bernoulli . calcFunc-bern ) | |
| 675 | ( binomial . calcFunc-choose ) | |
| 676 | ( diff . calcFunc-deriv ) | |
| 677 | ( GAMMA . calcFunc-gamma ) | |
| 678 | ( ifactor . calcFunc-prfac ) | |
| 679 | ( igcd . calcFunc-gcd ) | |
| 680 | ( ilcm . calcFunc-lcm ) | |
| 681 | ( int . calcFunc-integ ) | |
| 682 | ( modp . % ) | |
| 683 | ( irem . % ) | |
| 684 | ( iquo . calcFunc-idiv ) | |
| 685 | ( isprime . calcFunc-prime ) | |
| 686 | ( length . calcFunc-vlen ) | |
| 687 | ( member . calcFunc-in ) | |
| 688 | ( crossprod . calcFunc-cross ) | |
| 689 | ( inverse . calcFunc-inv ) | |
| 690 | ( trace . calcFunc-tr ) | |
| 691 | ( transpose . calcFunc-trn ) | |
| 692 | ( vectdim . calcFunc-vlen ) | |
| 693 | )) | |
| 694 | ||
| 695 | (put 'maple 'math-variable-table | |
| 696 | '( ( I . var-i ) | |
| 697 | ( Pi . var-pi ) | |
| 698 | ( E . var-e ) | |
| 699 | ( infinity . var-inf ) | |
| 700 | ( infinity . var-uinf ) | |
| 701 | ( infinity . var-nan ) | |
| 702 | )) | |
| 703 | ||
| 704 | (put 'maple 'math-complex-format 'I) | |
| 705 | ||
| 706 | (defun math-read-maple-dots (x op) | |
| bf77c646 | 707 | (list 'intv 3 x (math-read-expr-level (nth 3 op)))) |
| 136211a9 EZ |
708 | |
| 709 | ||
| 710 | ||
| 711 | ||
| 712 | ||
| 713 | (defun math-read-big-rec (h1 v1 h2 v2 &optional baseline prec short) | |
| 714 | (or prec (setq prec 0)) | |
| 715 | ||
| 716 | ;; Clip whitespace above or below. | |
| 717 | (while (and (< v1 v2) (math-read-big-emptyp h1 v1 h2 (1+ v1))) | |
| 718 | (setq v1 (1+ v1))) | |
| 719 | (while (and (< v1 v2) (math-read-big-emptyp h1 (1- v2) h2 v2)) | |
| 720 | (setq v2 (1- v2))) | |
| 721 | ||
| 722 | ;; If formula is a single line high, normal parser can handle it. | |
| 723 | (if (<= v2 (1+ v1)) | |
| 724 | (if (or (<= v2 v1) | |
| 725 | (> h1 (length (setq v2 (nth v1 lines))))) | |
| 726 | (math-read-big-error h1 v1) | |
| 727 | (setq the-baseline v1 | |
| 728 | the-h2 h2 | |
| 729 | v2 (nth v1 lines) | |
| 730 | h2 (math-read-expr (substring v2 h1 (min h2 (length v2))))) | |
| 731 | (if (eq (car-safe h2) 'error) | |
| 732 | (math-read-big-error (+ h1 (nth 1 h2)) v1 (nth 2 h2)) | |
| 733 | h2)) | |
| 734 | ||
| 735 | ;; Clip whitespace at left or right. | |
| 736 | (while (and (< h1 h2) (math-read-big-emptyp h1 v1 (1+ h1) v2)) | |
| 737 | (setq h1 (1+ h1))) | |
| 738 | (while (and (< h1 h2) (math-read-big-emptyp (1- h2) v1 h2 v2)) | |
| 739 | (setq h2 (1- h2))) | |
| 740 | ||
| 741 | ;; Scan to find widest left-justified "----" in the region. | |
| 742 | (let* ((widest nil) | |
| 743 | (widest-h2 0) | |
| 744 | (lines-v1 (nthcdr v1 lines)) | |
| 745 | (p lines-v1) | |
| 746 | (v v1) | |
| 747 | (other-v nil) | |
| 748 | other-char line len h) | |
| 749 | (while (< v v2) | |
| 750 | (setq line (car p) | |
| 751 | len (min h2 (length line))) | |
| 752 | (and (< h1 len) | |
| 753 | (/= (aref line h1) ?\ ) | |
| 754 | (if (and (= (aref line h1) ?\-) | |
| 755 | ;; Make sure it's not a minus sign. | |
| 756 | (or (and (< (1+ h1) len) (= (aref line (1+ h1)) ?\-)) | |
| 757 | (/= (math-read-big-char h1 (1- v)) ?\ ) | |
| 758 | (/= (math-read-big-char h1 (1+ v)) ?\ ))) | |
| 759 | (progn | |
| 760 | (setq h h1) | |
| 761 | (while (and (< (setq h (1+ h)) len) | |
| 762 | (= (aref line h) ?\-))) | |
| 763 | (if (> h widest-h2) | |
| 764 | (setq widest v | |
| 765 | widest-h2 h))) | |
| 766 | (or other-v (setq other-v v other-char (aref line h1))))) | |
| 767 | (setq v (1+ v) | |
| 768 | p (cdr p))) | |
| 769 | ||
| 770 | (cond ((not (setq v other-v)) | |
| 771 | (math-read-big-error h1 v1)) ; Should never happen! | |
| 772 | ||
| 773 | ;; Quotient. | |
| 774 | (widest | |
| 775 | (setq h widest-h2 | |
| 776 | v widest) | |
| 777 | (let ((num (math-read-big-rec h1 v1 h v)) | |
| 778 | (den (math-read-big-rec h1 (1+ v) h v2))) | |
| 779 | (setq p (if (and (math-integerp num) (math-integerp den)) | |
| 780 | (math-make-frac num den) | |
| 781 | (list '/ num den))))) | |
| 782 | ||
| 783 | ;; Big radical sign. | |
| 784 | ((= other-char ?\\) | |
| 785 | (or (= (math-read-big-char (1+ h1) v) ?\|) | |
| 786 | (math-read-big-error (1+ h1) v "Malformed root sign")) | |
| 787 | (math-read-big-emptyp h1 v1 (1+ h1) v nil t) | |
| 788 | (while (= (math-read-big-char (1+ h1) (setq v (1- v))) ?\|)) | |
| 789 | (or (= (math-read-big-char (setq h (+ h1 2)) v) ?\_) | |
| 790 | (math-read-big-error h v "Malformed root sign")) | |
| 791 | (while (= (math-read-big-char (setq h (1+ h)) v) ?\_)) | |
| 792 | (math-read-big-emptyp h1 v1 (1+ h1) v nil t) | |
| 793 | (math-read-big-emptyp h1 (1+ other-v) h v2 nil t) | |
| 794 | (setq p (list 'calcFunc-sqrt (math-read-big-rec | |
| 795 | (+ h1 2) (1+ v) | |
| 796 | h (1+ other-v) baseline)) | |
| 797 | v the-baseline)) | |
| 798 | ||
| 799 | ;; Small radical sign. | |
| 800 | ((and (= other-char ?V) | |
| 801 | (= (math-read-big-char (1+ h1) (1- v)) ?\_)) | |
| 802 | (setq h (1+ h1)) | |
| 803 | (math-read-big-emptyp h1 v1 h (1- v) nil t) | |
| 804 | (math-read-big-emptyp h1 (1+ v) h v2 nil t) | |
| 805 | (math-read-big-emptyp h1 v1 (1+ h1) v nil t) | |
| 806 | (while (= (math-read-big-char (setq h (1+ h)) (1- v)) ?\_)) | |
| 807 | (setq p (list 'calcFunc-sqrt (math-read-big-rec | |
| 808 | (1+ h1) v h (1+ v) t)) | |
| 809 | v the-baseline)) | |
| 810 | ||
| 811 | ;; Binomial coefficient. | |
| 812 | ((and (= other-char ?\() | |
| 813 | (= (math-read-big-char (1+ h1) v) ?\ ) | |
| 814 | (= (string-match "( *)" (nth v lines) h1) h1)) | |
| 815 | (setq h (match-end 0)) | |
| 816 | (math-read-big-emptyp h1 v1 (1+ h1) v nil t) | |
| 817 | (math-read-big-emptyp h1 (1+ v) (1+ h1) v2 nil t) | |
| 818 | (math-read-big-emptyp (1- h) v1 h v nil t) | |
| 819 | (math-read-big-emptyp (1- h) (1+ v) h v2 nil t) | |
| 820 | (setq p (list 'calcFunc-choose | |
| 821 | (math-read-big-rec (1+ h1) v1 (1- h) v) | |
| 822 | (math-read-big-rec (1+ h1) (1+ v) | |
| 823 | (1- h) v2)))) | |
| 824 | ||
| 825 | ;; Minus sign. | |
| 826 | ((= other-char ?\-) | |
| 827 | (setq p (list 'neg (math-read-big-rec (1+ h1) v1 h2 v2 v 250 t)) | |
| 828 | v the-baseline | |
| 829 | h the-h2)) | |
| 830 | ||
| 831 | ;; Parentheses. | |
| 832 | ((= other-char ?\() | |
| 833 | (math-read-big-emptyp h1 v1 (1+ h1) v nil t) | |
| 834 | (math-read-big-emptyp h1 (1+ v) (1+ h1) v2 nil t) | |
| 835 | (setq h (math-read-big-balance (1+ h1) v "(" t)) | |
| 836 | (math-read-big-emptyp (1- h) v1 h v nil t) | |
| 837 | (math-read-big-emptyp (1- h) (1+ v) h v2 nil t) | |
| 838 | (let ((sep (math-read-big-char (1- h) v)) | |
| 839 | hmid) | |
| 840 | (if (= sep ?\.) | |
| 841 | (setq h (1+ h))) | |
| 842 | (if (= sep ?\]) | |
| 843 | (math-read-big-error (1- h) v "Expected `)'")) | |
| 844 | (if (= sep ?\)) | |
| 845 | (setq p (math-read-big-rec (1+ h1) v1 (1- h) v2 v)) | |
| 846 | (setq hmid (math-read-big-balance h v "(") | |
| 847 | p (list p (math-read-big-rec h v1 (1- hmid) v2 v)) | |
| 848 | h hmid) | |
| 849 | (cond ((= sep ?\.) | |
| 850 | (setq p (cons 'intv (cons (if (= (math-read-big-char | |
| 851 | (1- h) v) | |
| 852 | ?\)) | |
| 853 | 0 1) | |
| 854 | p)))) | |
| 855 | ((= (math-read-big-char (1- h) v) ?\]) | |
| 856 | (math-read-big-error (1- h) v "Expected `)'")) | |
| 857 | ((= sep ?\,) | |
| 858 | (or (and (math-realp (car p)) (math-realp (nth 1 p))) | |
| 859 | (math-read-big-error | |
| 860 | h1 v "Complex components must be real")) | |
| 861 | (setq p (cons 'cplx p))) | |
| 862 | ((= sep ?\;) | |
| 863 | (or (and (math-realp (car p)) (math-anglep (nth 1 p))) | |
| 864 | (math-read-big-error | |
| 865 | h1 v "Complex components must be real")) | |
| 866 | (setq p (cons 'polar p))))))) | |
| 867 | ||
| 868 | ;; Matrix. | |
| 869 | ((and (= other-char ?\[) | |
| 870 | (or (= (math-read-big-char (setq h h1) (1+ v)) ?\[) | |
| 871 | (= (math-read-big-char (setq h (1+ h)) v) ?\[) | |
| 872 | (and (= (math-read-big-char h v) ?\ ) | |
| 873 | (= (math-read-big-char (setq h (1+ h)) v) ?\[))) | |
| 874 | (= (math-read-big-char h (1+ v)) ?\[)) | |
| 875 | (math-read-big-emptyp h1 v1 h v nil t) | |
| 876 | (let ((vtop v) | |
| 877 | (hleft h) | |
| 878 | (hright nil)) | |
| 879 | (setq p nil) | |
| 880 | (while (progn | |
| 881 | (setq h (math-read-big-balance (1+ hleft) v "[")) | |
| 882 | (if hright | |
| 883 | (or (= h hright) | |
| 884 | (math-read-big-error hright v "Expected `]'")) | |
| 885 | (setq hright h)) | |
| 886 | (setq p (cons (math-read-big-rec | |
| 887 | hleft v h (1+ v)) p)) | |
| 888 | (and (memq (math-read-big-char h v) '(?\ ?\,)) | |
| 889 | (= (math-read-big-char hleft (1+ v)) ?\[))) | |
| 890 | (setq v (1+ v))) | |
| 891 | (or (= hleft h1) | |
| 892 | (progn | |
| 893 | (if (= (math-read-big-char h v) ?\ ) | |
| 894 | (setq h (1+ h))) | |
| 895 | (and (= (math-read-big-char h v) ?\]) | |
| 896 | (setq h (1+ h)))) | |
| 897 | (math-read-big-error (1- h) v "Expected `]'")) | |
| 898 | (if (= (math-read-big-char h vtop) ?\,) | |
| 899 | (setq h (1+ h))) | |
| 900 | (math-read-big-emptyp h1 (1+ v) (1- h) v2 nil t) | |
| 901 | (setq v (+ vtop (/ (- v vtop) 2)) | |
| 902 | p (cons 'vec (nreverse p))))) | |
| 903 | ||
| 904 | ;; Square brackets. | |
| 905 | ((= other-char ?\[) | |
| 906 | (math-read-big-emptyp h1 v1 (1+ h1) v nil t) | |
| 907 | (math-read-big-emptyp h1 (1+ v) (1+ h1) v2 nil t) | |
| 908 | (setq p nil | |
| 909 | h (1+ h1)) | |
| 910 | (while (progn | |
| 911 | (setq widest (math-read-big-balance h v "[" t)) | |
| 912 | (math-read-big-emptyp (1- h) v1 h v nil t) | |
| 913 | (math-read-big-emptyp (1- h) (1+ v) h v2 nil t) | |
| 914 | (setq p (cons (math-read-big-rec | |
| 915 | h v1 (1- widest) v2 v) p) | |
| 916 | h widest) | |
| 917 | (= (math-read-big-char (1- h) v) ?\,))) | |
| 918 | (setq widest (math-read-big-char (1- h) v)) | |
| 919 | (if (or (memq widest '(?\; ?\))) | |
| 920 | (and (eq widest ?\.) (cdr p))) | |
| 921 | (math-read-big-error (1- h) v "Expected `]'")) | |
| 922 | (if (= widest ?\.) | |
| 923 | (setq h (1+ h) | |
| 924 | widest (math-read-big-balance h v "[") | |
| 925 | p (nconc p (list (math-read-big-big-rec | |
| 926 | h v1 (1- widest) v2 v))) | |
| 927 | h widest | |
| 928 | p (cons 'intv (cons (if (= (math-read-big-char (1- h) v) | |
| 929 | ?\]) | |
| 930 | 3 2) | |
| 931 | p))) | |
| 932 | (setq p (cons 'vec (nreverse p))))) | |
| 933 | ||
| 934 | ;; Date form. | |
| 935 | ((= other-char ?\<) | |
| 936 | (setq line (nth v lines)) | |
| 937 | (string-match ">" line h1) | |
| 938 | (setq h (match-end 0)) | |
| 939 | (math-read-big-emptyp h1 v1 h v nil t) | |
| 940 | (math-read-big-emptyp h1 (1+ v) h v2 nil t) | |
| 941 | (setq p (math-read-big-rec h1 v h (1+ v) v))) | |
| 942 | ||
| 943 | ;; Variable name or function call. | |
| 944 | ((or (and (>= other-char ?a) (<= other-char ?z)) | |
| 945 | (and (>= other-char ?A) (<= other-char ?Z))) | |
| 946 | (setq line (nth v lines)) | |
| 947 | (string-match "\\([a-zA-Z'_]+\\) *" line h1) | |
| 948 | (setq h (match-end 1) | |
| 949 | widest (match-end 0) | |
| 950 | p (math-match-substring line 1)) | |
| 951 | (math-read-big-emptyp h1 v1 h v nil t) | |
| 952 | (math-read-big-emptyp h1 (1+ v) h v2 nil t) | |
| 953 | (if (= (math-read-big-char widest v) ?\() | |
| 954 | (progn | |
| 955 | (setq line (if (string-match "-" p) | |
| 956 | (intern p) | |
| 957 | (intern (concat "calcFunc-" p))) | |
| 958 | h (1+ widest) | |
| 959 | p nil) | |
| 960 | (math-read-big-emptyp widest v1 h v nil t) | |
| 961 | (math-read-big-emptyp widest (1+ v) h v2 nil t) | |
| 962 | (while (progn | |
| 963 | (setq widest (math-read-big-balance h v "(" t)) | |
| 964 | (math-read-big-emptyp (1- h) v1 h v nil t) | |
| 965 | (math-read-big-emptyp (1- h) (1+ v) h v2 nil t) | |
| 966 | (setq p (cons (math-read-big-rec | |
| 967 | h v1 (1- widest) v2 v) p) | |
| 968 | h widest) | |
| 969 | (= (math-read-big-char (1- h) v) ?\,))) | |
| 970 | (or (= (math-read-big-char (1- h) v) ?\)) | |
| 971 | (math-read-big-error (1- h) v "Expected `)'")) | |
| 972 | (setq p (cons line (nreverse p)))) | |
| 973 | (setq p (list 'var | |
| 974 | (intern (math-remove-dashes p)) | |
| 975 | (if (string-match "-" p) | |
| 976 | (intern p) | |
| 977 | (intern (concat "var-" p))))))) | |
| 978 | ||
| 979 | ;; Number. | |
| 980 | (t | |
| 981 | (setq line (nth v lines)) | |
| 982 | (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 h1) h1) | |
| 983 | (math-read-big-error h v "Expected a number")) | |
| 984 | (setq h (match-end 0) | |
| 985 | p (math-read-number (math-match-substring line 0))) | |
| 986 | (math-read-big-emptyp h1 v1 h v nil t) | |
| 987 | (math-read-big-emptyp h1 (1+ v) h v2 nil t))) | |
| 988 | ||
| 989 | ;; Now left term is bounded by h1, v1, h, v2; baseline = v. | |
| 990 | (if baseline | |
| 991 | (or (= v baseline) | |
| 992 | (math-read-big-error h1 v "Inconsistent baseline in formula")) | |
| 993 | (setq baseline v)) | |
| 994 | ||
| 995 | ;; Look for superscripts or subscripts. | |
| 996 | (setq line (nth baseline lines) | |
| 997 | len (min h2 (length line)) | |
| 998 | widest h) | |
| 999 | (while (and (< widest len) | |
| 1000 | (= (aref line widest) ?\ )) | |
| 1001 | (setq widest (1+ widest))) | |
| 1002 | (and (>= widest len) (setq widest h2)) | |
| 1003 | (if (math-read-big-emptyp h v widest v2) | |
| 1004 | (if (math-read-big-emptyp h v1 widest v) | |
| 1005 | (setq h widest) | |
| 1006 | (setq p (list '^ p (math-read-big-rec h v1 widest v)) | |
| 1007 | h widest)) | |
| 1008 | (if (math-read-big-emptyp h v1 widest v) | |
| 1009 | (setq p (list 'calcFunc-subscr p | |
| 1010 | (math-read-big-rec h v widest v2)) | |
| 1011 | h widest))) | |
| 1012 | ||
| 1013 | ;; Look for an operator name and grab additional terms. | |
| 1014 | (while (and (< h len) | |
| 1015 | (if (setq widest (and (math-read-big-emptyp | |
| 1016 | h v1 (1+ h) v) | |
| 1017 | (math-read-big-emptyp | |
| 1018 | h (1+ v) (1+ h) v2) | |
| 1019 | (string-match "<=\\|>=\\|\\+/-\\|!=\\|&&\\|||\\|:=\\|=>\\|." line h) | |
| 1020 | (assoc (math-match-substring line 0) | |
| 1021 | math-standard-opers))) | |
| 1022 | (and (>= (nth 2 widest) prec) | |
| 1023 | (setq h (match-end 0))) | |
| 1024 | (and (not (eq (string-match ",\\|;\\|\\.\\.\\|)\\|\\]\\|:" line h) | |
| 1025 | h)) | |
| 1026 | (setq widest '("2x" * 196 195))))) | |
| 1027 | (cond ((eq (nth 3 widest) -1) | |
| 1028 | (setq p (list (nth 1 widest) p))) | |
| 1029 | ((equal (car widest) "?") | |
| 1030 | (let ((y (math-read-big-rec h v1 h2 v2 baseline nil t))) | |
| 1031 | (or (= (math-read-big-char the-h2 baseline) ?\:) | |
| 1032 | (math-read-big-error the-h2 baseline "Expected `:'")) | |
| 1033 | (setq p (list (nth 1 widest) p y | |
| 1034 | (math-read-big-rec (1+ the-h2) v1 h2 v2 | |
| 1035 | baseline (nth 3 widest) t)) | |
| 1036 | h the-h2))) | |
| 1037 | (t | |
| 1038 | (setq p (list (nth 1 widest) p | |
| 1039 | (math-read-big-rec h v1 h2 v2 | |
| 1040 | baseline (nth 3 widest) t)) | |
| 1041 | h the-h2)))) | |
| 1042 | ||
| 1043 | ;; Return all relevant information to caller. | |
| 1044 | (setq the-baseline baseline | |
| 1045 | the-h2 h) | |
| 1046 | (or short (= the-h2 h2) | |
| 1047 | (math-read-big-error h baseline)) | |
| bf77c646 | 1048 | p))) |
| 136211a9 EZ |
1049 | |
| 1050 | (defun math-read-big-char (h v) | |
| 1051 | (or (and (>= h h1) | |
| 1052 | (< h h2) | |
| 1053 | (>= v v1) | |
| 1054 | (< v v2) | |
| 1055 | (let ((line (nth v lines))) | |
| 1056 | (and line | |
| 1057 | (< h (length line)) | |
| 1058 | (aref line h)))) | |
| bf77c646 | 1059 | ?\ )) |
| 136211a9 EZ |
1060 | |
| 1061 | (defun math-read-big-emptyp (eh1 ev1 eh2 ev2 &optional what error) | |
| 1062 | (and (< ev1 v1) (setq ev1 v1)) | |
| 1063 | (and (< eh1 h1) (setq eh1 h1)) | |
| 1064 | (and (> ev2 v2) (setq ev2 v2)) | |
| 1065 | (and (> eh2 h2) (setq eh2 h2)) | |
| 1066 | (or what (setq what ?\ )) | |
| 1067 | (let ((p (nthcdr ev1 lines)) | |
| 1068 | h) | |
| 1069 | (while (and (< ev1 ev2) | |
| 1070 | (progn | |
| 1071 | (setq h (min eh2 (length (car p)))) | |
| 1072 | (while (and (>= (setq h (1- h)) eh1) | |
| 1073 | (= (aref (car p) h) what))) | |
| 1074 | (and error (>= h eh1) | |
| 1075 | (math-read-big-error h ev1 (if (stringp error) | |
| 1076 | error | |
| 1077 | "Whitespace expected"))) | |
| 1078 | (< h eh1))) | |
| 1079 | (setq ev1 (1+ ev1) | |
| 1080 | p (cdr p))) | |
| bf77c646 | 1081 | (>= ev1 ev2))) |
| 136211a9 EZ |
1082 | |
| 1083 | (defun math-read-big-error (h v &optional msg) | |
| 1084 | (let ((pos 0) | |
| 1085 | (p lines)) | |
| 1086 | (while (> v 0) | |
| 1087 | (setq pos (+ pos 1 (length (car p))) | |
| 1088 | p (cdr p) | |
| 1089 | v (1- v))) | |
| 1090 | (setq h (+ pos (min h (length (car p)))) | |
| 1091 | err-msg (list 'error h (or msg "Syntax error"))) | |
| bf77c646 | 1092 | (throw 'syntax nil))) |
| 136211a9 EZ |
1093 | |
| 1094 | (defun math-read-big-balance (h v what &optional commas) | |
| 1095 | (let* ((line (nth v lines)) | |
| 1096 | (len (min h2 (length line))) | |
| 1097 | (count 1)) | |
| 1098 | (while (> count 0) | |
| 1099 | (if (>= h len) | |
| 1100 | (if what | |
| 1101 | (math-read-big-error h1 v (format "Unmatched `%s'" what)) | |
| 1102 | (setq count 0)) | |
| 1103 | (if (memq (aref line h) '(?\( ?\[)) | |
| 1104 | (setq count (1+ count)) | |
| 1105 | (if (if (and commas (= count 1)) | |
| 1106 | (or (memq (aref line h) '(?\) ?\] ?\, ?\;)) | |
| 1107 | (and (eq (aref line h) ?\.) | |
| 1108 | (< (1+ h) len) | |
| 1109 | (eq (aref line (1+ h)) ?\.))) | |
| 1110 | (memq (aref line h) '(?\) ?\]))) | |
| 1111 | (setq count (1- count)))) | |
| 1112 | (setq h (1+ h)))) | |
| bf77c646 | 1113 | h)) |
| 136211a9 | 1114 | |
| bf77c646 | 1115 | ;;; calc-lang.el ends here |