HCoop / bpt / emacs.git / blame
| Commit | Line | Data |
|---|---|---|
| 3132f345 CW |
1 | ;;; calccomp.el --- composition functions for Calc |
| 2 | ||
| bf77c646 | 3 | ;; Copyright (C) 1990, 1991, 1992, 1993, 2001 Free Software Foundation, Inc. |
| 3132f345 CW |
4 | |
| 5 | ;; Author: David Gillespie <daveg@synaptics.com> | |
| a1506d29 | 6 | ;; Maintainers: D. Goel <deego@gnufans.org> |
| 6e1c888a | 7 | ;; Colin Walters <walters@debian.org> |
| 136211a9 EZ |
8 | |
| 9 | ;; This file is part of GNU Emacs. | |
| 10 | ||
| 11 | ;; GNU Emacs is distributed in the hope that it will be useful, | |
| 12 | ;; but WITHOUT ANY WARRANTY. No author or distributor | |
| 13 | ;; accepts responsibility to anyone for the consequences of using it | |
| 14 | ;; or for whether it serves any particular purpose or works at all, | |
| 15 | ;; unless he says so in writing. Refer to the GNU Emacs General Public | |
| 16 | ;; License for full details. | |
| 17 | ||
| 18 | ;; Everyone is granted permission to copy, modify and redistribute | |
| 19 | ;; GNU Emacs, but only under the conditions described in the | |
| 20 | ;; GNU Emacs General Public License. A copy of this license is | |
| 21 | ;; supposed to have been given to you along with GNU Emacs so you | |
| 22 | ;; can know your rights and responsibilities. It should be in a | |
| 23 | ;; file named COPYING. Among other things, the copyright notice | |
| 24 | ;; and this notice must be preserved on all copies. | |
| 25 | ||
| 3132f345 | 26 | ;;; Commentary: |
| 136211a9 | 27 | |
| 3132f345 | 28 | ;;; Code: |
| 136211a9 EZ |
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-comp () nil) | |
| 36 | ||
| 3132f345 CW |
37 | (defconst math-eqn-special-funcs |
| 38 | '( calcFunc-log | |
| 39 | calcFunc-ln calcFunc-exp | |
| 40 | calcFunc-sin calcFunc-cos calcFunc-tan | |
| 41 | calcFunc-sinh calcFunc-cosh calcFunc-tanh | |
| 42 | calcFunc-arcsin calcFunc-arccos calcFunc-arctan | |
| 43 | calcFunc-arcsinh calcFunc-arccosh calcFunc-arctanh)) | |
| 136211a9 EZ |
44 | |
| 45 | ;;; A "composition" has one of the following forms: | |
| 46 | ;;; | |
| 47 | ;;; "string" A literal string | |
| 48 | ;;; | |
| 49 | ;;; (horiz C1 C2 ...) Horizontally abutted sub-compositions | |
| 50 | ;;; | |
| 51 | ;;; (set LEVEL OFF) Set left margin + offset for line-break level | |
| 52 | ;;; (break LEVEL) A potential line-break point | |
| 53 | ;;; | |
| 54 | ;;; (vleft N C1 C2 ...) Vertically stacked, left-justified sub-comps | |
| 55 | ;;; (vcent N C1 C2 ...) Vertically stacked, centered sub-comps | |
| 56 | ;;; (vright N C1 C2 ...) Vertically stacked, right-justified sub-comps | |
| 57 | ;;; N specifies baseline of the stack, 0=top line. | |
| 58 | ;;; | |
| 59 | ;;; (supscr C1 C2) Composition C1 with superscript C2 | |
| 60 | ;;; (subscr C1 C2) Composition C1 with subscript C2 | |
| 61 | ;;; (rule X) Horizontal line of X, full width of enclosing comp | |
| 62 | ;;; | |
| 63 | ;;; (tag X C) Composition C corresponds to sub-expression X | |
| 64 | ||
| 65 | (defun math-compose-expr (a prec) | |
| 66 | (let ((math-compose-level (1+ math-compose-level))) | |
| 67 | (cond | |
| 68 | ((or (and (eq a math-comp-selected) a) | |
| 69 | (and math-comp-tagged | |
| 70 | (not (eq math-comp-tagged a)))) | |
| 71 | (let ((math-comp-selected nil)) | |
| 72 | (and math-comp-tagged (setq math-comp-tagged a)) | |
| 73 | (list 'tag a (math-compose-expr a prec)))) | |
| 74 | ((and (not (consp a)) (not (integerp a))) | |
| 75 | (concat "'" (prin1-to-string a))) | |
| 76 | ((math-scalarp a) | |
| 77 | (if (or (eq (car-safe a) 'frac) | |
| 78 | (and (nth 1 calc-frac-format) (Math-integerp a))) | |
| 79 | (if (memq calc-language '(tex eqn math maple c fortran pascal)) | |
| 80 | (let ((aa (math-adjust-fraction a)) | |
| 81 | (calc-frac-format nil)) | |
| 82 | (math-compose-expr (list '/ | |
| 83 | (if (memq calc-language '(c fortran)) | |
| 84 | (math-float (nth 1 aa)) | |
| 85 | (nth 1 aa)) | |
| 86 | (nth 2 aa)) prec)) | |
| 87 | (if (and (eq calc-language 'big) | |
| 88 | (= (length (car calc-frac-format)) 1)) | |
| 89 | (let* ((aa (math-adjust-fraction a)) | |
| 90 | (calc-frac-format nil) | |
| 91 | (math-radix-explicit-format nil) | |
| 92 | (c (list 'horiz | |
| 93 | (if (math-negp (nth 1 aa)) | |
| 94 | "- " "") | |
| 95 | (list 'vcent 1 | |
| 96 | (math-format-number | |
| 97 | (math-abs (nth 1 aa))) | |
| 98 | '(rule ?-) | |
| 99 | (math-format-number (nth 2 aa)))))) | |
| 100 | (if (= calc-number-radix 10) | |
| 101 | c | |
| 102 | (list 'horiz "(" c | |
| 103 | (list 'subscr ")" | |
| 104 | (int-to-string calc-number-radix))))) | |
| 105 | (math-format-number a))) | |
| 106 | (if (not (eq calc-language 'big)) | |
| 107 | (math-format-number a prec) | |
| 108 | (if (memq (car-safe a) '(cplx polar)) | |
| 109 | (if (math-zerop (nth 2 a)) | |
| 110 | (math-compose-expr (nth 1 a) prec) | |
| 111 | (list 'horiz "(" | |
| 112 | (math-compose-expr (nth 1 a) 0) | |
| 113 | (if (eq (car a) 'cplx) ", " "; ") | |
| 114 | (math-compose-expr (nth 2 a) 0) ")")) | |
| 115 | (if (or (= calc-number-radix 10) | |
| 116 | (not (Math-realp a)) | |
| 117 | (and calc-group-digits | |
| 118 | (not (assoc calc-group-char '((",") (" ")))))) | |
| 119 | (math-format-number a prec) | |
| 120 | (let ((s (math-format-number a prec)) | |
| 121 | (c nil)) | |
| 122 | (while (string-match (if (> calc-number-radix 14) | |
| 123 | "\\([0-9]+\\)#\\([0-9a-zA-Z., ]+\\)" | |
| 124 | "\\([0-9]+\\)#\\([0-9a-dA-D., ]+\\)") | |
| 125 | s) | |
| 126 | (setq c (nconc c (list (substring s 0 (match-beginning 0)) | |
| 127 | (list 'subscr | |
| 128 | (math-match-substring s 2) | |
| 129 | (math-match-substring s 1)))) | |
| 130 | s (substring s (match-end 0)))) | |
| 131 | (if (string-match | |
| 132 | "\\*\\([0-9.]+\\)\\^\\(-?[0-9]+\\)\\()?\\)\\'" s) | |
| 133 | (setq s (list 'horiz | |
| 134 | (substring s 0 (match-beginning 0)) " " | |
| 135 | (list 'supscr | |
| 136 | (math-match-substring s 1) | |
| 137 | (math-match-substring s 2)) | |
| 138 | (math-match-substring s 3)))) | |
| 139 | (if c (cons 'horiz (nconc c (list s))) s))))))) | |
| 140 | ((and (get (car a) 'math-compose-forms) | |
| 141 | (not (eq calc-language 'unform)) | |
| 142 | (let ((comps (get (car a) 'math-compose-forms)) | |
| 143 | temp temp2) | |
| 144 | (or (and (setq temp (assq calc-language comps)) | |
| 145 | (or (and (setq temp2 (assq (1- (length a)) (cdr temp))) | |
| 146 | (setq temp (apply (cdr temp2) (cdr a))) | |
| 147 | (math-compose-expr temp prec)) | |
| 148 | (and (setq temp2 (assq nil (cdr temp))) | |
| 149 | (funcall (cdr temp2) a)))) | |
| 150 | (and (setq temp (assq nil comps)) | |
| 151 | (or (and (setq temp2 (assq (1- (length a)) (cdr temp))) | |
| 152 | (setq temp (apply (cdr temp2) (cdr a))) | |
| 153 | (math-compose-expr temp prec)) | |
| 154 | (and (setq temp2 (assq nil (cdr temp))) | |
| 155 | (funcall (cdr temp2) a)))))))) | |
| 156 | ((eq (car a) 'vec) | |
| 157 | (let* ((left-bracket (if calc-vector-brackets | |
| 158 | (substring calc-vector-brackets 0 1) "")) | |
| 159 | (right-bracket (if calc-vector-brackets | |
| 160 | (substring calc-vector-brackets 1 2) "")) | |
| 161 | (inner-brackets (memq 'R calc-matrix-brackets)) | |
| 162 | (outer-brackets (memq 'O calc-matrix-brackets)) | |
| 163 | (row-commas (memq 'C calc-matrix-brackets)) | |
| 164 | (comma-spc (or calc-vector-commas " ")) | |
| 165 | (comma (or calc-vector-commas "")) | |
| 166 | (vector-prec (if (or (and calc-vector-commas | |
| 167 | (math-vector-no-parens a)) | |
| 168 | (memq 'P calc-matrix-brackets)) 0 1000)) | |
| 169 | (just (cond ((eq calc-matrix-just 'right) 'vright) | |
| 170 | ((eq calc-matrix-just 'center) 'vcent) | |
| 171 | (t 'vleft))) | |
| 172 | (break calc-break-vectors)) | |
| 173 | (if (and (memq calc-language '(nil big)) | |
| 174 | (not calc-break-vectors) | |
| 175 | (math-matrixp a) (not (math-matrixp (nth 1 a))) | |
| 176 | (or calc-full-vectors | |
| 177 | (and (< (length a) 7) (< (length (nth 1 a)) 7)) | |
| 178 | (progn (setq break t) nil))) | |
| 179 | (if (progn | |
| 180 | (setq vector-prec (if (or (and calc-vector-commas | |
| 181 | (math-vector-no-parens | |
| 182 | (nth 1 a))) | |
| 183 | (memq 'P calc-matrix-brackets)) | |
| 184 | 0 1000)) | |
| 185 | (= (length a) 2)) | |
| 186 | (list 'horiz | |
| 187 | (concat left-bracket left-bracket " ") | |
| 188 | (math-compose-vector (cdr (nth 1 a)) (concat comma " ") | |
| 189 | vector-prec) | |
| 190 | (concat " " right-bracket right-bracket)) | |
| 191 | (let* ((rows (1- (length a))) | |
| 192 | (cols (1- (length (nth 1 a)))) | |
| 193 | (base (/ (1- rows) 2)) | |
| 194 | (calc-language 'flat)) | |
| 195 | (append '(horiz) | |
| 196 | (list (append '(vleft) | |
| 197 | (list base) | |
| 198 | (list (concat (and outer-brackets | |
| 199 | (concat left-bracket | |
| 200 | " ")) | |
| 201 | (and inner-brackets | |
| 202 | (concat left-bracket | |
| 203 | " ")))) | |
| 204 | (make-list (1- rows) | |
| 205 | (concat (and outer-brackets | |
| 206 | " ") | |
| 207 | (and inner-brackets | |
| 208 | (concat | |
| 209 | left-bracket | |
| 210 | " ")))))) | |
| 211 | (math-compose-matrix (cdr a) 1 cols base) | |
| 212 | (list (append '(vleft) | |
| 213 | (list base) | |
| 214 | (make-list (1- rows) | |
| 215 | (if inner-brackets | |
| 216 | (concat " " | |
| 217 | right-bracket | |
| 218 | (and row-commas | |
| 219 | comma)) | |
| 220 | (if (and outer-brackets | |
| 221 | row-commas) | |
| 222 | ";" ""))) | |
| 223 | (list (concat | |
| 224 | (and inner-brackets | |
| 225 | (concat " " | |
| 226 | right-bracket)) | |
| 227 | (and outer-brackets | |
| 228 | (concat | |
| 229 | " " | |
| 230 | right-bracket))))))))) | |
| 231 | (if (and calc-display-strings | |
| 232 | (cdr a) | |
| 233 | (math-vector-is-string a)) | |
| 234 | (math-vector-to-string a t) | |
| 235 | (if (and break (cdr a) | |
| 236 | (not (eq calc-language 'flat))) | |
| 237 | (let* ((full (or calc-full-vectors (< (length a) 7))) | |
| 238 | (rows (if full (1- (length a)) 5)) | |
| 239 | (base (/ (1- rows) 2)) | |
| 240 | (just 'vleft) | |
| 241 | (calc-break-vectors nil)) | |
| 242 | (list 'horiz | |
| 243 | (cons 'vleft (cons base | |
| 244 | (math-compose-rows | |
| 245 | (cdr a) | |
| 246 | (if full rows 3) t))))) | |
| 247 | (if (or calc-full-vectors (< (length a) 7)) | |
| 248 | (if (and (eq calc-language 'tex) | |
| 249 | (math-matrixp a)) | |
| 250 | (append '(horiz "\\matrix{ ") | |
| 251 | (math-compose-tex-matrix (cdr a)) | |
| 252 | '(" }")) | |
| 253 | (if (and (eq calc-language 'eqn) | |
| 254 | (math-matrixp a)) | |
| 255 | (append '(horiz "matrix { ") | |
| 256 | (math-compose-eqn-matrix | |
| 257 | (cdr (math-transpose a))) | |
| 258 | '("}")) | |
| 259 | (if (and (eq calc-language 'maple) | |
| 260 | (math-matrixp a)) | |
| 261 | (list 'horiz | |
| 262 | "matrix(" | |
| 263 | left-bracket | |
| 264 | (math-compose-vector (cdr a) (concat comma " ") | |
| 265 | vector-prec) | |
| 266 | right-bracket | |
| 267 | ")") | |
| 268 | (list 'horiz | |
| 269 | left-bracket | |
| 270 | (math-compose-vector (cdr a) (concat comma " ") | |
| 271 | vector-prec) | |
| 272 | right-bracket)))) | |
| 273 | (list 'horiz | |
| 274 | left-bracket | |
| 275 | (math-compose-vector (list (nth 1 a) (nth 2 a) (nth 3 a)) | |
| 276 | (concat comma " ") vector-prec) | |
| 277 | comma (if (eq calc-language 'tex) " \\ldots" " ...") | |
| 278 | comma " " | |
| 279 | (list 'break math-compose-level) | |
| 280 | (math-compose-expr (nth (1- (length a)) a) | |
| 281 | (if (equal comma "") 1000 0)) | |
| 282 | right-bracket))))))) | |
| 283 | ((eq (car a) 'incomplete) | |
| 284 | (if (cdr (cdr a)) | |
| 285 | (cond ((eq (nth 1 a) 'vec) | |
| 286 | (list 'horiz "[" | |
| 287 | (math-compose-vector (cdr (cdr a)) ", " 0) | |
| 288 | " ...")) | |
| 289 | ((eq (nth 1 a) 'cplx) | |
| 290 | (list 'horiz "(" | |
| 291 | (math-compose-vector (cdr (cdr a)) ", " 0) | |
| 292 | ", ...")) | |
| 293 | ((eq (nth 1 a) 'polar) | |
| 294 | (list 'horiz "(" | |
| 295 | (math-compose-vector (cdr (cdr a)) "; " 0) | |
| 296 | "; ...")) | |
| 297 | ((eq (nth 1 a) 'intv) | |
| 298 | (list 'horiz | |
| 299 | (if (memq (nth 2 a) '(0 1)) "(" "[") | |
| 300 | (math-compose-vector (cdr (cdr (cdr a))) " .. " 0) | |
| 301 | " .. ...")) | |
| 302 | (t (format "%s" a))) | |
| 303 | (cond ((eq (nth 1 a) 'vec) "[ ...") | |
| 304 | ((eq (nth 1 a) 'intv) | |
| 305 | (if (memq (nth 2 a) '(0 1)) "( ..." "[ ...")) | |
| 306 | (t "( ...")))) | |
| 307 | ((eq (car a) 'var) | |
| 308 | (let ((v (rassq (nth 2 a) math-expr-variable-mapping))) | |
| 309 | (if v | |
| 310 | (symbol-name (car v)) | |
| 311 | (if (and (eq calc-language 'tex) | |
| 312 | calc-language-option | |
| 313 | (not (= calc-language-option 0)) | |
| 314 | (string-match "\\`[a-zA-Z][a-zA-Z0-9]+\\'" | |
| 315 | (symbol-name (nth 1 a)))) | |
| 316 | (format "\\hbox{%s}" (symbol-name (nth 1 a))) | |
| 317 | (if (and math-compose-hash-args | |
| 318 | (let ((p calc-arg-values)) | |
| 319 | (setq v 1) | |
| 320 | (while (and p (not (equal (car p) a))) | |
| 321 | (setq p (and (eq math-compose-hash-args t) (cdr p)) | |
| 322 | v (1+ v))) | |
| 323 | p)) | |
| 324 | (if (eq math-compose-hash-args 1) | |
| 325 | "#" | |
| 326 | (format "#%d" v)) | |
| 327 | (if (memq calc-language '(c fortran pascal maple)) | |
| 328 | (math-to-underscores (symbol-name (nth 1 a))) | |
| 329 | (if (and (eq calc-language 'eqn) | |
| 330 | (string-match ".'\\'" (symbol-name (nth 2 a)))) | |
| 331 | (math-compose-expr | |
| 332 | (list 'calcFunc-Prime | |
| 333 | (list | |
| 334 | 'var | |
| 335 | (intern (substring (symbol-name (nth 1 a)) 0 -1)) | |
| 336 | (intern (substring (symbol-name (nth 2 a)) 0 -1)))) | |
| 337 | prec) | |
| 338 | (symbol-name (nth 1 a))))))))) | |
| 339 | ((eq (car a) 'intv) | |
| 340 | (list 'horiz | |
| 341 | (if (eq calc-language 'maple) "" | |
| 342 | (if (memq (nth 1 a) '(0 1)) "(" "[")) | |
| 343 | (math-compose-expr (nth 2 a) 0) | |
| 344 | (if (eq calc-language 'tex) " \\ldots " | |
| 345 | (if (eq calc-language 'eqn) " ... " " .. ")) | |
| 346 | (math-compose-expr (nth 3 a) 0) | |
| 347 | (if (eq calc-language 'maple) "" | |
| 348 | (if (memq (nth 1 a) '(0 2)) ")" "]")))) | |
| 349 | ((eq (car a) 'date) | |
| 350 | (if (eq (car calc-date-format) 'X) | |
| 351 | (math-format-date a) | |
| 352 | (concat "<" (math-format-date a) ">"))) | |
| 353 | ((and (eq (car a) 'calcFunc-subscr) (cdr (cdr a)) | |
| 354 | (memq calc-language '(c pascal fortran maple))) | |
| 355 | (let ((args (cdr (cdr a)))) | |
| 356 | (while (and (memq calc-language '(pascal fortran)) | |
| 357 | (eq (car-safe (nth 1 a)) 'calcFunc-subscr)) | |
| 358 | (setq args (append (cdr (cdr (nth 1 a))) args) | |
| 359 | a (nth 1 a))) | |
| 360 | (list 'horiz | |
| 361 | (math-compose-expr (nth 1 a) 1000) | |
| 362 | (if (eq calc-language 'fortran) "(" "[") | |
| 363 | (math-compose-vector args ", " 0) | |
| 364 | (if (eq calc-language 'fortran) ")" "]")))) | |
| 365 | ((and (eq (car a) 'calcFunc-subscr) (= (length a) 3) | |
| 366 | (eq calc-language 'big)) | |
| 367 | (let* ((a1 (math-compose-expr (nth 1 a) 1000)) | |
| 368 | (calc-language 'flat) | |
| 369 | (a2 (math-compose-expr (nth 2 a) 0))) | |
| 370 | (if (or (eq (car-safe a1) 'subscr) | |
| 371 | (and (eq (car-safe a1) 'tag) | |
| 372 | (eq (car-safe (nth 2 a1)) 'subscr) | |
| 373 | (setq a1 (nth 2 a1)))) | |
| 374 | (list 'subscr | |
| 375 | (nth 1 a1) | |
| 376 | (list 'horiz | |
| 377 | (nth 2 a1) | |
| 378 | ", " | |
| 379 | a2)) | |
| 380 | (list 'subscr a1 a2)))) | |
| 381 | ((and (eq (car a) 'calcFunc-subscr) (= (length a) 3) | |
| 382 | (eq calc-language 'math)) | |
| 383 | (list 'horiz | |
| 384 | (math-compose-expr (nth 1 a) 1000) | |
| 385 | "[[" | |
| 386 | (math-compose-expr (nth 2 a) 0) | |
| 387 | "]]")) | |
| 388 | ((and (eq (car a) 'calcFunc-sqrt) | |
| 389 | (eq calc-language 'tex)) | |
| 390 | (list 'horiz | |
| 391 | "\\sqrt{" | |
| 392 | (math-compose-expr (nth 1 a) 0) | |
| 393 | "}")) | |
| 394 | ((and nil (eq (car a) 'calcFunc-sqrt) | |
| 395 | (eq calc-language 'eqn)) | |
| 396 | (list 'horiz | |
| 397 | "sqrt {" | |
| 398 | (math-compose-expr (nth 1 a) -1) | |
| 399 | "}")) | |
| 400 | ((and (eq (car a) '^) | |
| 401 | (eq calc-language 'big)) | |
| 402 | (list 'supscr | |
| 403 | (if (or (math-looks-negp (nth 1 a)) | |
| 404 | (memq (car-safe (nth 1 a)) '(^ / frac calcFunc-sqrt)) | |
| 405 | (and (eq (car-safe (nth 1 a)) 'cplx) | |
| 406 | (math-negp (nth 1 (nth 1 a))) | |
| 407 | (eq (nth 2 (nth 1 a)) 0))) | |
| 408 | (list 'horiz "(" (math-compose-expr (nth 1 a) 0) ")") | |
| 409 | (math-compose-expr (nth 1 a) 201)) | |
| 410 | (let ((calc-language 'flat) | |
| 411 | (calc-number-radix 10)) | |
| 412 | (math-compose-expr (nth 2 a) 0)))) | |
| 413 | ((and (eq (car a) '/) | |
| 414 | (eq calc-language 'big)) | |
| 415 | (let ((a1 (let ((calc-language (if (memq (car-safe (nth 1 a)) '(/ frac)) | |
| 416 | 'flat 'big))) | |
| 417 | (math-compose-expr (nth 1 a) 0))) | |
| 418 | (a2 (let ((calc-language (if (memq (car-safe (nth 2 a)) '(/ frac)) | |
| 419 | 'flat 'big))) | |
| 420 | (math-compose-expr (nth 2 a) 0)))) | |
| 421 | (list 'vcent | |
| 422 | (math-comp-height a1) | |
| 423 | a1 '(rule ?-) a2))) | |
| 424 | ((and (memq (car a) '(calcFunc-sum calcFunc-prod)) | |
| 425 | (eq calc-language 'tex) | |
| 426 | (= (length a) 5)) | |
| 427 | (list 'horiz (if (eq (car a) 'calcFunc-sum) "\\sum" "\\prod") | |
| 428 | "_{" (math-compose-expr (nth 2 a) 0) | |
| 429 | "=" (math-compose-expr (nth 3 a) 0) | |
| 430 | "}^{" (math-compose-expr (nth 4 a) 0) | |
| 431 | "}{" (math-compose-expr (nth 1 a) 0) "}")) | |
| 432 | ((and (eq (car a) 'calcFunc-lambda) | |
| 433 | (> (length a) 2) | |
| 434 | (memq calc-language '(nil flat big))) | |
| 435 | (let ((p (cdr a)) | |
| 436 | (ap calc-arg-values) | |
| 437 | (math-compose-hash-args (if (= (length a) 3) 1 t))) | |
| 438 | (while (and (cdr p) (equal (car p) (car ap))) | |
| 439 | (setq p (cdr p) ap (cdr ap))) | |
| 440 | (append '(horiz "<") | |
| 441 | (if (cdr p) | |
| 442 | (list (math-compose-vector | |
| 443 | (nreverse (cdr (reverse (cdr a)))) ", " 0) | |
| 444 | " : ") | |
| 445 | nil) | |
| 446 | (list (math-compose-expr (nth (1- (length a)) a) 0) | |
| 447 | ">")))) | |
| 448 | ((and (eq (car a) 'calcFunc-string) | |
| 449 | (= (length a) 2) | |
| 450 | (math-vectorp (nth 1 a)) | |
| 451 | (math-vector-is-string (nth 1 a))) | |
| 452 | (if (eq calc-language 'unform) | |
| 453 | (concat "string(" (math-vector-to-string (nth 1 a) t) ")") | |
| 454 | (math-vector-to-string (nth 1 a) nil))) | |
| 455 | ((and (eq (car a) 'calcFunc-bstring) | |
| 456 | (= (length a) 2) | |
| 457 | (math-vectorp (nth 1 a)) | |
| 458 | (math-vector-is-string (nth 1 a))) | |
| 459 | (if (eq calc-language 'unform) | |
| 460 | (concat "bstring(" (math-vector-to-string (nth 1 a) t) ")") | |
| 461 | (let ((c nil) | |
| 462 | (s (math-vector-to-string (nth 1 a) nil)) | |
| 463 | p) | |
| 464 | (while (string-match "[^ ] +[^ ]" s) | |
| 465 | (setq p (1- (match-end 0)) | |
| 466 | c (cons (list 'break math-compose-level) | |
| 467 | (cons (substring s 0 p) | |
| 468 | c)) | |
| 469 | s (substring s p))) | |
| 470 | (setq c (nreverse (cons s c))) | |
| 471 | (or (= prec -123) | |
| 472 | (setq c (cons (list 'set math-compose-level 2) c))) | |
| 473 | (cons 'horiz c)))) | |
| 474 | ((and (eq (car a) 'calcFunc-cprec) | |
| 475 | (not (eq calc-language 'unform)) | |
| 476 | (= (length a) 3) | |
| 477 | (integerp (nth 2 a))) | |
| 478 | (let ((c (math-compose-expr (nth 1 a) -1))) | |
| 479 | (if (> prec (nth 2 a)) | |
| 480 | (if (eq calc-language 'tex) | |
| 481 | (list 'horiz "\\left( " c " \\right)") | |
| 482 | (if (eq calc-language 'eqn) | |
| 483 | (list 'horiz "{left ( " c " right )}") | |
| 484 | (list 'horiz "(" c ")"))) | |
| 485 | c))) | |
| 486 | ((and (eq (car a) 'calcFunc-choriz) | |
| 487 | (not (eq calc-language 'unform)) | |
| 488 | (memq (length a) '(2 3 4)) | |
| 489 | (math-vectorp (nth 1 a)) | |
| 490 | (if (integerp (nth 2 a)) | |
| 491 | (or (null (nth 3 a)) | |
| 492 | (and (math-vectorp (nth 3 a)) | |
| 493 | (math-vector-is-string (nth 3 a)))) | |
| 494 | (or (null (nth 2 a)) | |
| 495 | (and (math-vectorp (nth 2 a)) | |
| 496 | (math-vector-is-string (nth 2 a)))))) | |
| 497 | (let* ((cprec (and (integerp (nth 2 a)) (nth 2 a))) | |
| 498 | (sep (nth (if cprec 3 2) a)) | |
| 499 | (bprec nil)) | |
| 500 | (if sep | |
| 501 | (math-compose-vector (cdr (nth 1 a)) | |
| 502 | (math-vector-to-string sep nil) | |
| 503 | (or cprec prec)) | |
| 504 | (cons 'horiz (mapcar (function | |
| 505 | (lambda (x) | |
| 506 | (if (eq (car-safe x) 'calcFunc-bstring) | |
| 507 | (prog1 | |
| 508 | (math-compose-expr | |
| 509 | x (or bprec cprec prec)) | |
| 510 | (setq bprec -123)) | |
| 511 | (math-compose-expr x (or cprec prec))))) | |
| 512 | (cdr (nth 1 a))))))) | |
| 513 | ((and (memq (car a) '(calcFunc-cvert calcFunc-clvert calcFunc-crvert)) | |
| 514 | (not (eq calc-language 'unform)) | |
| 515 | (memq (length a) '(2 3)) | |
| 516 | (math-vectorp (nth 1 a)) | |
| 517 | (or (null (nth 2 a)) | |
| 518 | (integerp (nth 2 a)))) | |
| 519 | (let* ((base 0) | |
| 520 | (v 0) | |
| 521 | (prec (or (nth 2 a) prec)) | |
| 522 | (c (mapcar (function | |
| 523 | (lambda (x) | |
| 524 | (let ((b nil) (cc nil) a d) | |
| 525 | (if (and (memq (car-safe x) '(calcFunc-cbase | |
| 526 | calcFunc-ctbase | |
| 527 | calcFunc-cbbase)) | |
| 528 | (memq (length x) '(1 2))) | |
| 529 | (setq b (car x) | |
| 530 | x (nth 1 x))) | |
| 531 | (if (and (eq (car-safe x) 'calcFunc-crule) | |
| 532 | (memq (length x) '(1 2)) | |
| 533 | (or (null (nth 1 x)) | |
| 534 | (and (math-vectorp (nth 1 x)) | |
| 535 | (= (length (nth 1 x)) 2) | |
| 536 | (math-vector-is-string | |
| 537 | (nth 1 x))) | |
| 538 | (and (natnump (nth 1 x)) | |
| 539 | (<= (nth 1 x) 255)))) | |
| 540 | (setq cc (list | |
| 541 | 'rule | |
| 542 | (if (math-vectorp (nth 1 x)) | |
| 543 | (aref (math-vector-to-string | |
| 544 | (nth 1 x) nil) 0) | |
| 545 | (or (nth 1 x) ?-)))) | |
| 546 | (or (and (memq (car-safe x) '(calcFunc-cvspace | |
| 547 | calcFunc-ctspace | |
| 548 | calcFunc-cbspace)) | |
| 549 | (memq (length x) '(2 3)) | |
| 550 | (eq (nth 1 x) 0)) | |
| 551 | (null x) | |
| 552 | (setq cc (math-compose-expr x prec)))) | |
| 553 | (setq a (if cc (math-comp-ascent cc) 0) | |
| 554 | d (if cc (math-comp-descent cc) 0)) | |
| 555 | (if (eq b 'calcFunc-cbase) | |
| 556 | (setq base (+ v a -1)) | |
| 557 | (if (eq b 'calcFunc-ctbase) | |
| 558 | (setq base v) | |
| 559 | (if (eq b 'calcFunc-cbbase) | |
| 560 | (setq base (+ v a d -1))))) | |
| 561 | (setq v (+ v a d)) | |
| 562 | cc))) | |
| 563 | (cdr (nth 1 a))))) | |
| 564 | (setq c (delq nil c)) | |
| 565 | (if c | |
| 566 | (cons (if (eq (car a) 'calcFunc-cvert) 'vcent | |
| 567 | (if (eq (car a) 'calcFunc-clvert) 'vleft 'vright)) | |
| 568 | (cons base c)) | |
| 569 | " "))) | |
| 570 | ((and (memq (car a) '(calcFunc-csup calcFunc-csub)) | |
| 571 | (not (eq calc-language 'unform)) | |
| 572 | (memq (length a) '(3 4)) | |
| 573 | (or (null (nth 3 a)) | |
| 574 | (integerp (nth 3 a)))) | |
| 575 | (list (if (eq (car a) 'calcFunc-csup) 'supscr 'subscr) | |
| 576 | (math-compose-expr (nth 1 a) (or (nth 3 a) 0)) | |
| 577 | (math-compose-expr (nth 2 a) 0))) | |
| 578 | ((and (eq (car a) 'calcFunc-cflat) | |
| 579 | (not (eq calc-language 'unform)) | |
| 580 | (memq (length a) '(2 3)) | |
| 581 | (or (null (nth 2 a)) | |
| 582 | (integerp (nth 2 a)))) | |
| 583 | (let ((calc-language (if (memq calc-language '(nil big)) | |
| 584 | 'flat calc-language))) | |
| 585 | (math-compose-expr (nth 1 a) (or (nth 2 a) 0)))) | |
| 586 | ((and (eq (car a) 'calcFunc-cspace) | |
| 587 | (memq (length a) '(2 3)) | |
| 588 | (natnump (nth 1 a))) | |
| 589 | (if (nth 2 a) | |
| 590 | (cons 'horiz (make-list (nth 1 a) | |
| 591 | (if (and (math-vectorp (nth 2 a)) | |
| 592 | (math-vector-is-string (nth 2 a))) | |
| 593 | (math-vector-to-string (nth 2 a) nil) | |
| 594 | (math-compose-expr (nth 2 a) 0)))) | |
| 595 | (make-string (nth 1 a) ?\ ))) | |
| 596 | ((and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
| 597 | (memq (length a) '(2 3)) | |
| 598 | (natnump (nth 1 a))) | |
| 599 | (if (= (nth 1 a) 0) | |
| 600 | "" | |
| 601 | (let* ((c (if (nth 2 a) | |
| 602 | (if (and (math-vectorp (nth 2 a)) | |
| 603 | (math-vector-is-string (nth 2 a))) | |
| 604 | (math-vector-to-string (nth 2 a) nil) | |
| 605 | (math-compose-expr (nth 2 a) 0)) | |
| 606 | " ")) | |
| 607 | (ca (math-comp-ascent c)) | |
| 608 | (cd (math-comp-descent c))) | |
| 609 | (cons 'vleft | |
| 610 | (cons (if (eq (car a) 'calcFunc-ctspace) | |
| 611 | (1- ca) | |
| 612 | (if (eq (car a) 'calcFunc-cbspace) | |
| 613 | (+ (* (1- (nth 1 a)) (+ ca cd)) (1- ca)) | |
| 614 | (/ (1- (* (nth 1 a) (+ ca cd))) 2))) | |
| 615 | (make-list (nth 1 a) c)))))) | |
| 616 | ((and (eq (car a) 'calcFunc-evalto) | |
| 617 | (setq calc-any-evaltos t) | |
| 618 | (memq calc-language '(tex eqn)) | |
| 619 | (= math-compose-level (if math-comp-tagged 2 1)) | |
| 620 | (= (length a) 3)) | |
| 621 | (list 'horiz | |
| 622 | (if (eq calc-language 'tex) "\\evalto " "evalto ") | |
| 623 | (math-compose-expr (nth 1 a) 0) | |
| 624 | (if (eq calc-language 'tex) " \\to " " -> ") | |
| 625 | (math-compose-expr (nth 2 a) 0))) | |
| 626 | (t | |
| 627 | (let ((op (and (not (eq calc-language 'unform)) | |
| 628 | (if (and (eq (car a) 'calcFunc-if) (= (length a) 4)) | |
| 629 | (assoc "?" math-expr-opers) | |
| 630 | (math-assq2 (car a) math-expr-opers))))) | |
| 631 | (cond ((and op | |
| 632 | (or (= (length a) 3) (eq (car a) 'calcFunc-if)) | |
| 633 | (/= (nth 3 op) -1)) | |
| 634 | (cond | |
| 635 | ((> prec (or (nth 4 op) (min (nth 2 op) (nth 3 op)))) | |
| 636 | (if (and (eq calc-language 'tex) | |
| 637 | (not (math-tex-expr-is-flat a))) | |
| 638 | (if (eq (car-safe a) '/) | |
| 639 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
| 640 | (list 'horiz "\\left( " | |
| 641 | (math-compose-expr a -1) | |
| 642 | " \\right)")) | |
| 643 | (if (eq calc-language 'eqn) | |
| 644 | (if (or (eq (car-safe a) '/) | |
| 645 | (= (/ prec 100) 9)) | |
| 646 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
| 647 | (if (math-tex-expr-is-flat a) | |
| 648 | (list 'horiz "( " (math-compose-expr a -1) " )") | |
| 649 | (list 'horiz "{left ( " | |
| 650 | (math-compose-expr a -1) | |
| 651 | " right )}"))) | |
| 652 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
| 653 | ((and (eq calc-language 'tex) | |
| 654 | (memq (car a) '(/ calcFunc-choose calcFunc-evalto)) | |
| 655 | (>= prec 0)) | |
| 656 | (list 'horiz "{" (math-compose-expr a -1) "}")) | |
| 657 | ((eq (car a) 'calcFunc-if) | |
| 658 | (list 'horiz | |
| 659 | (math-compose-expr (nth 1 a) (nth 2 op)) | |
| 660 | " ? " | |
| 661 | (math-compose-expr (nth 2 a) 0) | |
| 662 | " : " | |
| 663 | (math-compose-expr (nth 3 a) (nth 3 op)))) | |
| 664 | (t | |
| 665 | (let* ((math-comp-tagged (and math-comp-tagged | |
| 666 | (not (math-primp a)) | |
| 667 | math-comp-tagged)) | |
| 668 | (setlev (if (= prec (min (nth 2 op) (nth 3 op))) | |
| 669 | (progn | |
| 670 | (setq math-compose-level | |
| 671 | (1- math-compose-level)) | |
| 672 | nil) | |
| 673 | math-compose-level)) | |
| 674 | (lhs (math-compose-expr (nth 1 a) (nth 2 op))) | |
| 675 | (rhs (math-compose-expr (nth 2 a) (nth 3 op)))) | |
| 676 | (and (equal (car op) "^") | |
| 677 | (eq (math-comp-first-char lhs) ?-) | |
| 678 | (setq lhs (list 'horiz "(" lhs ")"))) | |
| 679 | (and (eq calc-language 'tex) | |
| 680 | (or (equal (car op) "^") (equal (car op) "_")) | |
| 681 | (not (and (stringp rhs) (= (length rhs) 1))) | |
| 682 | (setq rhs (list 'horiz "{" rhs "}"))) | |
| 683 | (or (and (eq (car a) '*) | |
| 684 | (or (null calc-language) | |
| 685 | (assoc "2x" math-expr-opers)) | |
| 686 | (let* ((prevt (math-prod-last-term (nth 1 a))) | |
| 687 | (nextt (math-prod-first-term (nth 2 a))) | |
| 688 | (prevc (or (math-comp-last-char lhs) | |
| 689 | (and (memq (car-safe prevt) | |
| 690 | '(^ calcFunc-subscr | |
| 691 | calcFunc-sqrt | |
| 692 | frac)) | |
| 693 | (eq calc-language 'big) | |
| 694 | ?0))) | |
| 695 | (nextc (or (math-comp-first-char rhs) | |
| 696 | (and (memq (car-safe nextt) | |
| 697 | '(calcFunc-sqrt | |
| 698 | calcFunc-sum | |
| 699 | calcFunc-prod | |
| 700 | calcFunc-integ)) | |
| 701 | (eq calc-language 'big) | |
| 702 | ?0)))) | |
| 703 | (and prevc nextc | |
| 704 | (or (and (>= nextc ?a) (<= nextc ?z)) | |
| 705 | (and (>= nextc ?A) (<= nextc ?Z)) | |
| 706 | (and (>= nextc ?0) (<= nextc ?9)) | |
| 707 | (memq nextc '(?. ?_ ?# | |
| 708 | ?\( ?\[ ?\{)) | |
| 709 | (and (eq nextc ?\\) | |
| 710 | (not (string-match | |
| 711 | "\\`\\\\left(" | |
| 712 | (math-comp-first-string | |
| 713 | rhs))))) | |
| 714 | (not (and (eq (car-safe prevt) 'var) | |
| 715 | (eq nextc ?\())) | |
| 716 | (list 'horiz | |
| 717 | (list 'set setlev 1) | |
| 718 | lhs | |
| 719 | (list 'break math-compose-level) | |
| 720 | " " | |
| 721 | rhs)))) | |
| 722 | (list 'horiz | |
| 723 | (list 'set setlev 1) | |
| 724 | lhs | |
| 725 | (list 'break math-compose-level) | |
| 726 | (if (or (equal (car op) "^") | |
| 727 | (equal (car op) "_") | |
| 728 | (equal (car op) "**") | |
| 729 | (and (equal (car op) "*") | |
| 730 | (math-comp-last-char lhs) | |
| 731 | (math-comp-first-char rhs)) | |
| 732 | (and (equal (car op) "/") | |
| 733 | (math-num-integerp (nth 1 a)) | |
| 734 | (math-integerp (nth 2 a)))) | |
| 735 | (car op) | |
| 736 | (if (and (eq calc-language 'big) | |
| 737 | (equal (car op) "=>")) | |
| 738 | " => " | |
| 739 | (concat " " (car op) " "))) | |
| 740 | rhs)))))) | |
| 741 | ((and op (= (length a) 2) (= (nth 3 op) -1)) | |
| 742 | (cond | |
| 743 | ((or (> prec (or (nth 4 op) (nth 2 op))) | |
| 744 | (and (not (eq (assoc (car op) math-expr-opers) op)) | |
| 745 | (> prec 0))) ; don't write x% + y | |
| 746 | (if (and (eq calc-language 'tex) | |
| 747 | (not (math-tex-expr-is-flat a))) | |
| 748 | (list 'horiz "\\left( " | |
| 749 | (math-compose-expr a -1) | |
| 750 | " \\right)") | |
| 751 | (if (eq calc-language 'eqn) | |
| 752 | (if (= (/ prec 100) 9) | |
| 753 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
| 754 | (if (math-tex-expr-is-flat a) | |
| 755 | (list 'horiz "{( " (math-compose-expr a -1) " )}") | |
| 756 | (list 'horiz "{left ( " | |
| 757 | (math-compose-expr a -1) | |
| 758 | " right )}"))) | |
| 759 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
| 760 | (t | |
| 761 | (let ((lhs (math-compose-expr (nth 1 a) (nth 2 op)))) | |
| 762 | (list 'horiz | |
| 763 | lhs | |
| 764 | (if (or (> (length (car op)) 1) | |
| 765 | (not (math-comp-is-flat lhs))) | |
| 766 | (concat " " (car op)) | |
| 767 | (car op))))))) | |
| 768 | ((and op (= (length a) 2) (= (nth 2 op) -1)) | |
| 769 | (cond | |
| 770 | ((eq (nth 3 op) 0) | |
| 771 | (let ((lr (and (eq calc-language 'tex) | |
| 772 | (not (math-tex-expr-is-flat (nth 1 a)))))) | |
| 773 | (list 'horiz | |
| 774 | (if lr "\\left" "") | |
| 775 | (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" (car op)) | |
| 776 | (substring (car op) 1) | |
| 777 | (car op)) | |
| 778 | (if (or lr (> (length (car op)) 2)) " " "") | |
| 779 | (math-compose-expr (nth 1 a) -1) | |
| 780 | (if (or lr (> (length (car op)) 2)) " " "") | |
| 781 | (if lr "\\right" "") | |
| 782 | (car (nth 1 (memq op math-expr-opers)))))) | |
| 783 | ((> prec (or (nth 4 op) (nth 3 op))) | |
| 784 | (if (and (eq calc-language 'tex) | |
| 785 | (not (math-tex-expr-is-flat a))) | |
| 786 | (list 'horiz "\\left( " | |
| 787 | (math-compose-expr a -1) | |
| 788 | " \\right)") | |
| 789 | (if (eq calc-language 'eqn) | |
| 790 | (if (= (/ prec 100) 9) | |
| 791 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
| 792 | (if (math-tex-expr-is-flat a) | |
| 793 | (list 'horiz "{( " (math-compose-expr a -1) " )}") | |
| 794 | (list 'horiz "{left ( " | |
| 795 | (math-compose-expr a -1) | |
| 796 | " right )}"))) | |
| 797 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
| 798 | (t | |
| 799 | (let ((rhs (math-compose-expr (nth 1 a) (nth 3 op)))) | |
| 800 | (list 'horiz | |
| 801 | (let ((ops (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" | |
| 802 | (car op)) | |
| 803 | (substring (car op) 1) | |
| 804 | (car op)))) | |
| 805 | (if (or (> (length ops) 1) | |
| 806 | (not (math-comp-is-flat rhs))) | |
| 807 | (concat ops " ") | |
| 808 | ops)) | |
| 809 | rhs))))) | |
| 810 | ((and (eq calc-language 'big) | |
| 811 | (setq op (get (car a) 'math-compose-big)) | |
| 812 | (funcall op a prec))) | |
| 813 | ((and (setq op (assq calc-language | |
| 814 | '( ( nil . math-compose-normal ) | |
| 815 | ( flat . math-compose-normal ) | |
| 816 | ( big . math-compose-normal ) | |
| 817 | ( c . math-compose-c ) | |
| 818 | ( pascal . math-compose-pascal ) | |
| 819 | ( fortran . math-compose-fortran ) | |
| 820 | ( tex . math-compose-tex ) | |
| 821 | ( eqn . math-compose-eqn ) | |
| 822 | ( math . math-compose-math ) | |
| 823 | ( maple . math-compose-maple )))) | |
| 824 | (setq op (get (car a) (cdr op))) | |
| 825 | (funcall op a prec))) | |
| 826 | (t | |
| 827 | (let* ((func (car a)) | |
| 828 | (func2 (assq func '(( mod . calcFunc-makemod ) | |
| 829 | ( sdev . calcFunc-sdev ) | |
| 830 | ( + . calcFunc-add ) | |
| 831 | ( - . calcFunc-sub ) | |
| 832 | ( * . calcFunc-mul ) | |
| 833 | ( / . calcFunc-div ) | |
| 834 | ( % . calcFunc-mod ) | |
| 835 | ( ^ . calcFunc-pow ) | |
| 836 | ( neg . calcFunc-neg ) | |
| 837 | ( | . calcFunc-vconcat )))) | |
| 838 | left right args) | |
| 839 | (if func2 | |
| 840 | (setq func (cdr func2))) | |
| 841 | (if (setq func2 (rassq func math-expr-function-mapping)) | |
| 842 | (setq func (car func2))) | |
| 843 | (setq func (math-remove-dashes | |
| 844 | (if (string-match | |
| 845 | "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'" | |
| 846 | (symbol-name func)) | |
| 847 | (math-match-substring (symbol-name func) 1) | |
| 848 | (symbol-name func)))) | |
| 849 | (if (memq calc-language '(c fortran pascal maple)) | |
| 850 | (setq func (math-to-underscores func))) | |
| 851 | (if (and (eq calc-language 'tex) | |
| 852 | calc-language-option | |
| 853 | (not (= calc-language-option 0)) | |
| 854 | (string-match "\\`[a-zA-Z][a-zA-Z0-9]+\\'" func)) | |
| 855 | (if (< (prefix-numeric-value calc-language-option) 0) | |
| 856 | (setq func (format "\\%s" func)) | |
| 857 | (setq func (format "\\hbox{%s}" func)))) | |
| 858 | (if (and (eq calc-language 'eqn) | |
| 859 | (string-match "[^']'+\\'" func)) | |
| 860 | (let ((n (- (length func) (match-beginning 0) 1))) | |
| 861 | (setq func (substring func 0 (- n))) | |
| 862 | (while (>= (setq n (1- n)) 0) | |
| 863 | (setq func (concat func " prime"))))) | |
| 864 | (cond ((and (eq calc-language 'tex) | |
| 865 | (or (> (length a) 2) | |
| 866 | (not (math-tex-expr-is-flat (nth 1 a))))) | |
| 867 | (setq left "\\left( " | |
| 868 | right " \\right)")) | |
| 869 | ((and (eq calc-language 'eqn) | |
| 870 | (or (> (length a) 2) | |
| 871 | (not (math-tex-expr-is-flat (nth 1 a))))) | |
| 872 | (setq left "{left ( " | |
| 873 | right " right )}")) | |
| 874 | ((and (or (and (eq calc-language 'tex) | |
| 875 | (eq (aref func 0) ?\\)) | |
| 876 | (and (eq calc-language 'eqn) | |
| 877 | (memq (car a) math-eqn-special-funcs))) | |
| 878 | (not (string-match "\\hbox{" func)) | |
| 879 | (= (length a) 2) | |
| 880 | (or (Math-realp (nth 1 a)) | |
| 881 | (memq (car (nth 1 a)) '(var *)))) | |
| 882 | (setq left (if (eq calc-language 'eqn) "~{" "{") | |
| 883 | right "}")) | |
| 884 | ((eq calc-language 'eqn) | |
| 885 | (setq left " ( " | |
| 886 | right " )")) | |
| 887 | (t (setq left calc-function-open | |
| 888 | right calc-function-close))) | |
| 889 | (list 'horiz func left | |
| 890 | (math-compose-vector (cdr a) | |
| 891 | (if (eq calc-language 'eqn) | |
| 892 | " , " ", ") | |
| 893 | 0) | |
| bf77c646 | 894 | right))))))))) |
| 136211a9 | 895 | |
| 136211a9 EZ |
896 | |
| 897 | (defun math-prod-first-term (x) | |
| 898 | (while (eq (car-safe x) '*) | |
| 899 | (setq x (nth 1 x))) | |
| bf77c646 | 900 | x) |
| 136211a9 EZ |
901 | |
| 902 | (defun math-prod-last-term (x) | |
| 903 | (while (eq (car-safe x) '*) | |
| 904 | (setq x (nth 2 x))) | |
| bf77c646 | 905 | x) |
| 136211a9 EZ |
906 | |
| 907 | (defun math-compose-vector (a sep prec) | |
| 908 | (if a | |
| 909 | (cons 'horiz | |
| 910 | (cons (list 'set math-compose-level) | |
| 911 | (let ((c (list (math-compose-expr (car a) prec)))) | |
| 912 | (while (setq a (cdr a)) | |
| 913 | (setq c (cons (if (eq (car-safe (car a)) | |
| 914 | 'calcFunc-bstring) | |
| 915 | (let ((math-compose-level | |
| 916 | (1- math-compose-level))) | |
| 917 | (math-compose-expr (car a) -123)) | |
| 918 | (math-compose-expr (car a) prec)) | |
| 919 | (cons (list 'break math-compose-level) | |
| 920 | (cons sep c))))) | |
| 921 | (nreverse c)))) | |
| bf77c646 | 922 | "")) |
| 136211a9 EZ |
923 | |
| 924 | (defun math-vector-no-parens (a) | |
| 925 | (or (cdr (cdr a)) | |
| bf77c646 | 926 | (not (eq (car-safe (nth 1 a)) '*)))) |
| 136211a9 EZ |
927 | |
| 928 | (defun math-compose-matrix (a col cols base) | |
| 929 | (let ((col 0) | |
| 930 | (res nil)) | |
| 931 | (while (<= (setq col (1+ col)) cols) | |
| 932 | (setq res (cons (cons just | |
| 933 | (cons base | |
| 934 | (mapcar (function | |
| 935 | (lambda (r) | |
| 936 | (list 'horiz | |
| 937 | (math-compose-expr | |
| 938 | (nth col r) | |
| 939 | vector-prec) | |
| 940 | (if (= col cols) | |
| 941 | "" | |
| 942 | (concat comma-spc " "))))) | |
| 943 | a))) | |
| 944 | res))) | |
| bf77c646 | 945 | (nreverse res))) |
| 136211a9 EZ |
946 | |
| 947 | (defun math-compose-rows (a count first) | |
| 948 | (if (cdr a) | |
| 949 | (if (<= count 0) | |
| 950 | (if (< count 0) | |
| 951 | (math-compose-rows (cdr a) -1 nil) | |
| 952 | (cons (concat (if (eq calc-language 'tex) " \\ldots" " ...") | |
| 953 | comma) | |
| 954 | (math-compose-rows (cdr a) -1 nil))) | |
| 955 | (cons (list 'horiz | |
| 956 | (if first (concat left-bracket " ") " ") | |
| 957 | (math-compose-expr (car a) vector-prec) | |
| 958 | comma) | |
| 959 | (math-compose-rows (cdr a) (1- count) nil))) | |
| 960 | (list (list 'horiz | |
| 961 | (if first (concat left-bracket " ") " ") | |
| 962 | (math-compose-expr (car a) vector-prec) | |
| bf77c646 | 963 | (concat " " right-bracket))))) |
| 136211a9 EZ |
964 | |
| 965 | (defun math-compose-tex-matrix (a) | |
| 966 | (if (cdr a) | |
| 967 | (cons (math-compose-vector (cdr (car a)) " & " 0) | |
| 968 | (cons " \\\\ " | |
| 969 | (math-compose-tex-matrix (cdr a)))) | |
| bf77c646 | 970 | (list (math-compose-vector (cdr (car a)) " & " 0)))) |
| 136211a9 EZ |
971 | |
| 972 | (defun math-compose-eqn-matrix (a) | |
| 973 | (if a | |
| 974 | (cons | |
| 975 | (cond ((eq calc-matrix-just 'right) "rcol ") | |
| 976 | ((eq calc-matrix-just 'center) "ccol ") | |
| 977 | (t "lcol ")) | |
| 978 | (cons | |
| 979 | (list 'break math-compose-level) | |
| 980 | (cons | |
| 981 | "{ " | |
| 982 | (cons | |
| 983 | (let ((math-compose-level (1+ math-compose-level))) | |
| 984 | (math-compose-vector (cdr (car a)) " above " 1000)) | |
| 985 | (cons | |
| 986 | " } " | |
| 987 | (math-compose-eqn-matrix (cdr a))))))) | |
| bf77c646 | 988 | nil)) |
| 136211a9 EZ |
989 | |
| 990 | (defun math-vector-is-string (a) | |
| 991 | (while (and (setq a (cdr a)) | |
| 992 | (or (and (natnump (car a)) | |
| 993 | (<= (car a) 255)) | |
| 994 | (and (eq (car-safe (car a)) 'cplx) | |
| 995 | (natnump (nth 1 (car a))) | |
| 996 | (eq (nth 2 (car a)) 0) | |
| 997 | (<= (nth 1 (car a)) 255))))) | |
| bf77c646 | 998 | (null a)) |
| 136211a9 | 999 | |
| 3132f345 CW |
1000 | (defconst math-vector-to-string-chars '( ( ?\" . "\\\"" ) |
| 1001 | ( ?\\ . "\\\\" ) | |
| 1002 | ( ?\a . "\\a" ) | |
| 1003 | ( ?\b . "\\b" ) | |
| 1004 | ( ?\e . "\\e" ) | |
| 1005 | ( ?\f . "\\f" ) | |
| 1006 | ( ?\n . "\\n" ) | |
| 1007 | ( ?\r . "\\r" ) | |
| 1008 | ( ?\t . "\\t" ) | |
| 1009 | ( ?\^? . "\\^?" ))) | |
| 1010 | ||
| 136211a9 EZ |
1011 | (defun math-vector-to-string (a &optional quoted) |
| 1012 | (setq a (concat (mapcar (function (lambda (x) (if (consp x) (nth 1 x) x))) | |
| 1013 | (cdr a)))) | |
| 1014 | (if (string-match "[\000-\037\177\\\"]" a) | |
| 1015 | (let ((p 0) | |
| 1016 | (pat (if quoted "[\000-\037\177\\\"]" "[\000-\037\177]")) | |
| 1017 | (codes (if quoted math-vector-to-string-chars '((?\^? . "^?")))) | |
| 1018 | (fmt (if quoted "\\^%c" "^%c")) | |
| 1019 | new) | |
| 1020 | (while (setq p (string-match pat a p)) | |
| 1021 | (if (setq new (assq (aref a p) codes)) | |
| 1022 | (setq a (concat (substring a 0 p) | |
| 1023 | (cdr new) | |
| 1024 | (substring a (1+ p))) | |
| 1025 | p (+ p (length (cdr new)))) | |
| 1026 | (setq a (concat (substring a 0 p) | |
| 1027 | (format fmt (+ (aref a p) 64)) | |
| 1028 | (substring a (1+ p))) | |
| 1029 | p (+ p 2)))))) | |
| 1030 | (if quoted | |
| 1031 | (concat "\"" a "\"") | |
| bf77c646 | 1032 | a)) |
| 3132f345 | 1033 | |
| 136211a9 EZ |
1034 | |
| 1035 | (defun math-to-underscores (x) | |
| 1036 | (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x) | |
| 1037 | (math-to-underscores | |
| 1038 | (concat (math-match-substring x 1) "_" (math-match-substring x 2))) | |
| bf77c646 | 1039 | x)) |
| 136211a9 EZ |
1040 | |
| 1041 | (defun math-tex-expr-is-flat (a) | |
| 1042 | (or (Math-integerp a) | |
| 1043 | (memq (car a) '(float var)) | |
| 1044 | (and (memq (car a) '(+ - * neg)) | |
| 1045 | (progn | |
| 1046 | (while (and (setq a (cdr a)) | |
| 1047 | (math-tex-expr-is-flat (car a)))) | |
| 1048 | (null a))) | |
| 1049 | (and (memq (car a) '(^ calcFunc-subscr)) | |
| bf77c646 | 1050 | (math-tex-expr-is-flat (nth 1 a))))) |
| 136211a9 EZ |
1051 | |
| 1052 | (put 'calcFunc-log 'math-compose-big 'math-compose-log) | |
| 1053 | (defun math-compose-log (a prec) | |
| 1054 | (and (= (length a) 3) | |
| 1055 | (list 'horiz | |
| 1056 | (list 'subscr "log" | |
| 1057 | (let ((calc-language 'flat)) | |
| 1058 | (math-compose-expr (nth 2 a) 1000))) | |
| 1059 | "(" | |
| 1060 | (math-compose-expr (nth 1 a) 1000) | |
| bf77c646 | 1061 | ")"))) |
| 136211a9 EZ |
1062 | |
| 1063 | (put 'calcFunc-log10 'math-compose-big 'math-compose-log10) | |
| 1064 | (defun math-compose-log10 (a prec) | |
| 1065 | (and (= (length a) 2) | |
| 1066 | (list 'horiz | |
| 1067 | (list 'subscr "log" "10") | |
| 1068 | "(" | |
| 1069 | (math-compose-expr (nth 1 a) 1000) | |
| bf77c646 | 1070 | ")"))) |
| 136211a9 EZ |
1071 | |
| 1072 | (put 'calcFunc-deriv 'math-compose-big 'math-compose-deriv) | |
| 1073 | (put 'calcFunc-tderiv 'math-compose-big 'math-compose-deriv) | |
| 1074 | (defun math-compose-deriv (a prec) | |
| 3132f345 CW |
1075 | (when (= (length a) 3) |
| 1076 | (math-compose-expr (list '/ | |
| 1077 | (list 'calcFunc-choriz | |
| 1078 | (list 'vec | |
| 1079 | '(calcFunc-string (vec ?d)) | |
| 1080 | (nth 1 a))) | |
| 1081 | (list 'calcFunc-choriz | |
| 1082 | (list 'vec | |
| 1083 | '(calcFunc-string (vec ?d)) | |
| 1084 | (nth 2 a)))) | |
| 1085 | prec))) | |
| 136211a9 EZ |
1086 | |
| 1087 | (put 'calcFunc-sqrt 'math-compose-big 'math-compose-sqrt) | |
| 1088 | (defun math-compose-sqrt (a prec) | |
| 3132f345 CW |
1089 | (when (= (length a) 2) |
| 1090 | (let* ((c (math-compose-expr (nth 1 a) 0)) | |
| 1091 | (a (math-comp-ascent c)) | |
| 1092 | (d (math-comp-descent c)) | |
| 1093 | (h (+ a d)) | |
| 1094 | (w (math-comp-width c))) | |
| 1095 | (list 'vleft | |
| 1096 | a | |
| 1097 | (concat (if (= h 1) " " " ") | |
| 1098 | (make-string (+ w 2) ?\_)) | |
| 1099 | (list 'horiz | |
| 1100 | (if (= h 1) | |
| 1101 | "V" | |
| 1102 | (append (list 'vleft (1- a)) | |
| 1103 | (make-list (1- h) " |") | |
| 1104 | '("\\|"))) | |
| 1105 | " " | |
| 1106 | c))))) | |
| 136211a9 EZ |
1107 | |
| 1108 | (put 'calcFunc-choose 'math-compose-big 'math-compose-choose) | |
| 1109 | (defun math-compose-choose (a prec) | |
| 1110 | (let ((a1 (math-compose-expr (nth 1 a) 0)) | |
| 1111 | (a2 (math-compose-expr (nth 2 a) 0))) | |
| 1112 | (list 'horiz | |
| 1113 | "(" | |
| 1114 | (list 'vcent | |
| 1115 | (math-comp-height a1) | |
| 1116 | a1 " " a2) | |
| bf77c646 | 1117 | ")"))) |
| 136211a9 EZ |
1118 | |
| 1119 | (put 'calcFunc-integ 'math-compose-big 'math-compose-integ) | |
| 1120 | (defun math-compose-integ (a prec) | |
| 1121 | (and (memq (length a) '(3 5)) | |
| 1122 | (eq (car-safe (nth 2 a)) 'var) | |
| 1123 | (let* ((parens (and (>= prec 196) (/= prec 1000))) | |
| 1124 | (var (math-compose-expr (nth 2 a) 0)) | |
| 1125 | (over (and (eq (car-safe (nth 2 a)) 'var) | |
| 1126 | (or (and (eq (car-safe (nth 1 a)) '/) | |
| 1127 | (math-numberp (nth 1 (nth 1 a)))) | |
| 1128 | (and (eq (car-safe (nth 1 a)) '^) | |
| 1129 | (math-looks-negp (nth 2 (nth 1 a))))))) | |
| 1130 | (expr (math-compose-expr (if over | |
| 1131 | (math-mul (nth 1 a) | |
| 1132 | (math-build-var-name | |
| 1133 | (format | |
| 1134 | "d%s" | |
| 1135 | (nth 1 (nth 2 a))))) | |
| 1136 | (nth 1 a)) 185)) | |
| 1137 | (calc-language 'flat) | |
| 1138 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
| 1139 | (high (and (nth 4 a) (math-compose-expr (nth 4 a) 0)))) | |
| 1140 | (list 'horiz | |
| 1141 | (if parens "(" "") | |
| 1142 | (append (list 'vcent (if high 3 2)) | |
| 1143 | (and high (list (list 'horiz " " high))) | |
| 1144 | '(" /" | |
| 1145 | " | " | |
| 1146 | " | " | |
| 1147 | " | " | |
| 1148 | "/ ") | |
| 1149 | (and low (list (list 'horiz low " ")))) | |
| 1150 | expr | |
| 1151 | (if over | |
| 1152 | "" | |
| 1153 | (list 'horiz " d" var)) | |
| bf77c646 | 1154 | (if parens ")" ""))))) |
| 136211a9 EZ |
1155 | |
| 1156 | (put 'calcFunc-sum 'math-compose-big 'math-compose-sum) | |
| 1157 | (defun math-compose-sum (a prec) | |
| 1158 | (and (memq (length a) '(3 5 6)) | |
| 1159 | (let* ((expr (math-compose-expr (nth 1 a) 185)) | |
| 1160 | (calc-language 'flat) | |
| 1161 | (var (math-compose-expr (nth 2 a) 0)) | |
| 1162 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
| 1163 | (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0)))) | |
| 1164 | (list 'horiz | |
| 1165 | (if (memq prec '(180 201)) "(" "") | |
| 1166 | (append (list 'vcent (if high 3 2)) | |
| 1167 | (and high (list high)) | |
| 1168 | '("---- " | |
| 1169 | "\\ " | |
| 1170 | " > " | |
| 1171 | "/ " | |
| 1172 | "---- ") | |
| 1173 | (if low | |
| 1174 | (list (list 'horiz var " = " low)) | |
| 1175 | (list var))) | |
| 1176 | (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod)) | |
| 1177 | " " "") | |
| 1178 | expr | |
| bf77c646 | 1179 | (if (memq prec '(180 201)) ")" ""))))) |
| 136211a9 EZ |
1180 | |
| 1181 | (put 'calcFunc-prod 'math-compose-big 'math-compose-prod) | |
| 1182 | (defun math-compose-prod (a prec) | |
| 1183 | (and (memq (length a) '(3 5 6)) | |
| 1184 | (let* ((expr (math-compose-expr (nth 1 a) 198)) | |
| 1185 | (calc-language 'flat) | |
| 1186 | (var (math-compose-expr (nth 2 a) 0)) | |
| 1187 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
| 1188 | (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0)))) | |
| 1189 | (list 'horiz | |
| 1190 | (if (memq prec '(196 201)) "(" "") | |
| 1191 | (append (list 'vcent (if high 3 2)) | |
| 1192 | (and high (list high)) | |
| 1193 | '("----- " | |
| 1194 | " | | " | |
| 1195 | " | | " | |
| 1196 | " | | ") | |
| 1197 | (if low | |
| 1198 | (list (list 'horiz var " = " low)) | |
| 1199 | (list var))) | |
| 1200 | (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod)) | |
| 1201 | " " "") | |
| 1202 | expr | |
| bf77c646 | 1203 | (if (memq prec '(196 201)) ")" ""))))) |
| 136211a9 EZ |
1204 | |
| 1205 | ||
| 1206 | (defun math-stack-value-offset-fancy () | |
| 1207 | (let ((cwid (+ (math-comp-width c)))) | |
| 1208 | (cond ((eq calc-display-just 'right) | |
| 1209 | (if calc-display-origin | |
| 1210 | (setq wid (max calc-display-origin 5)) | |
| 1211 | (if (integerp calc-line-breaking) | |
| 1212 | (setq wid calc-line-breaking))) | |
| 1213 | (setq off (- wid cwid | |
| 1214 | (max (- (length calc-right-label) | |
| 1215 | (if (and (integerp calc-line-breaking) | |
| 1216 | calc-display-origin) | |
| 1217 | (max (- calc-line-breaking | |
| 1218 | calc-display-origin) | |
| 1219 | 0) | |
| 1220 | 0)) | |
| 1221 | 0)))) | |
| 1222 | (t | |
| 1223 | (if calc-display-origin | |
| 1224 | (progn | |
| 1225 | (setq off (- calc-display-origin (/ cwid 2))) | |
| 1226 | (if (integerp calc-line-breaking) | |
| 1227 | (setq off (min off (- calc-line-breaking cwid | |
| 1228 | (length calc-right-label))))) | |
| 1229 | (if (>= off 0) | |
| 1230 | (setq wid (max wid (+ off cwid))))) | |
| 1231 | (if (integerp calc-line-breaking) | |
| 1232 | (setq wid calc-line-breaking)) | |
| 1233 | (setq off (/ (- wid cwid) 2))))) | |
| 1234 | (and (integerp calc-line-breaking) | |
| 1235 | (or (< off 0) | |
| 1236 | (and calc-display-origin | |
| 1237 | (> calc-line-breaking calc-display-origin))) | |
| bf77c646 | 1238 | (setq wid calc-line-breaking)))) |
| 136211a9 EZ |
1239 | |
| 1240 | ||
| 1241 | ||
| 1242 | ;;; Convert a composition to string form, with embedded \n's if necessary. | |
| 1243 | ||
| 1244 | (defun math-composition-to-string (c &optional width) | |
| 1245 | (or width (setq width (calc-window-width))) | |
| 1246 | (if calc-display-raw | |
| 1247 | (math-comp-to-string-raw c 0) | |
| 1248 | (if (math-comp-is-flat c) | |
| 1249 | (math-comp-to-string-flat c width) | |
| 1250 | (math-vert-comp-to-string | |
| bf77c646 | 1251 | (math-comp-simplify c width))))) |
| 136211a9 | 1252 | |
| 3132f345 CW |
1253 | (defvar math-comp-buf-string (make-vector 10 "")) |
| 1254 | (defvar math-comp-buf-margin (make-vector 10 0)) | |
| 1255 | (defvar math-comp-buf-level (make-vector 10 0)) | |
| 136211a9 EZ |
1256 | (defun math-comp-is-flat (c) ; check if c's height is 1. |
| 1257 | (cond ((not (consp c)) t) | |
| 1258 | ((memq (car c) '(set break)) t) | |
| 1259 | ((eq (car c) 'horiz) | |
| 1260 | (while (and (setq c (cdr c)) | |
| 1261 | (math-comp-is-flat (car c)))) | |
| 1262 | (null c)) | |
| 1263 | ((memq (car c) '(vleft vcent vright)) | |
| 1264 | (and (= (length c) 3) | |
| 1265 | (= (nth 1 c) 0) | |
| 1266 | (math-comp-is-flat (nth 2 c)))) | |
| 1267 | ((eq (car c) 'tag) | |
| 1268 | (math-comp-is-flat (nth 2 c))) | |
| bf77c646 | 1269 | (t nil))) |
| 136211a9 EZ |
1270 | |
| 1271 | ||
| 1272 | ;;; Convert a one-line composition to a string. Break into multiple | |
| 1273 | ;;; lines if necessary, choosing break points according to the structure | |
| 1274 | ;;; of the formula. | |
| 1275 | ||
| 1276 | (defun math-comp-to-string-flat (c full-width) | |
| 1277 | (if math-comp-sel-hpos | |
| 1278 | (let ((comp-pos 0)) | |
| 1279 | (math-comp-sel-flat-term c)) | |
| 1280 | (let ((comp-buf "") | |
| 1281 | (comp-word "") | |
| 1282 | (comp-pos 0) | |
| 1283 | (comp-margin 0) | |
| 1284 | (comp-highlight (and math-comp-selected calc-show-selections)) | |
| 1285 | (comp-level -1)) | |
| 1286 | (math-comp-to-string-flat-term '(set -1 0)) | |
| 1287 | (math-comp-to-string-flat-term c) | |
| 1288 | (math-comp-to-string-flat-term '(break -1)) | |
| 1289 | (let ((str (aref math-comp-buf-string 0)) | |
| 1290 | (prefix "")) | |
| 1291 | (and (> (length str) 0) (= (aref str 0) ? ) | |
| 1292 | (> (length comp-buf) 0) | |
| 1293 | (let ((k (length comp-buf))) | |
| 1294 | (while (not (= (aref comp-buf (setq k (1- k))) ?\n))) | |
| 1295 | (aset comp-buf k ? ) | |
| 1296 | (if (and (< (1+ k) (length comp-buf)) | |
| 1297 | (= (aref comp-buf (1+ k)) ? )) | |
| 1298 | (progn | |
| 1299 | (aset comp-buf (1+ k) ?\n) | |
| 1300 | (setq prefix " ")) | |
| 1301 | (setq prefix "\n")))) | |
| bf77c646 | 1302 | (concat comp-buf prefix str))))) |
| 136211a9 EZ |
1303 | |
| 1304 | (defun math-comp-to-string-flat-term (c) | |
| 1305 | (cond ((not (consp c)) | |
| 1306 | (if comp-highlight | |
| 1307 | (setq c (math-comp-highlight-string c))) | |
| 1308 | (setq comp-word (if (= (length comp-word) 0) c (concat comp-word c)) | |
| 1309 | comp-pos (+ comp-pos (length c)))) | |
| 1310 | ||
| 1311 | ((eq (car c) 'horiz) | |
| 1312 | (while (setq c (cdr c)) | |
| 1313 | (math-comp-to-string-flat-term (car c)))) | |
| 1314 | ||
| 1315 | ((eq (car c) 'set) | |
| 1316 | (if (nth 1 c) | |
| 1317 | (progn | |
| 1318 | (setq comp-level (1+ comp-level)) | |
| 1319 | (if (>= comp-level (length math-comp-buf-string)) | |
| 1320 | (setq math-comp-buf-string (vconcat math-comp-buf-string | |
| 1321 | math-comp-buf-string) | |
| 1322 | math-comp-buf-margin (vconcat math-comp-buf-margin | |
| 1323 | math-comp-buf-margin) | |
| 1324 | math-comp-buf-level (vconcat math-comp-buf-level | |
| 1325 | math-comp-buf-level))) | |
| 1326 | (aset math-comp-buf-string comp-level "") | |
| 1327 | (aset math-comp-buf-margin comp-level (+ comp-pos | |
| 1328 | (or (nth 2 c) 0))) | |
| 1329 | (aset math-comp-buf-level comp-level (nth 1 c))))) | |
| 1330 | ||
| 1331 | ((eq (car c) 'break) | |
| 1332 | (if (not calc-line-breaking) | |
| 1333 | (setq comp-buf (concat comp-buf comp-word) | |
| 1334 | comp-word "") | |
| 1335 | (let ((i 0) str) | |
| 1336 | (if (and (> comp-pos full-width) | |
| 1337 | (progn | |
| 1338 | (while (progn | |
| 1339 | (setq str (aref math-comp-buf-string i)) | |
| 1340 | (and (= (length str) 0) (< i comp-level))) | |
| 1341 | (setq i (1+ i))) | |
| 1342 | (or (> (length str) 0) (> (length comp-buf) 0)))) | |
| 1343 | (let ((prefix "") mrg wid) | |
| 1344 | (setq mrg (aref math-comp-buf-margin i)) | |
| 1345 | (if (> mrg 12) ; indenting too far, go back to far left | |
| 1346 | (let ((j i) (new (if calc-line-numbering 5 1))) | |
| 1347 | '(while (<= j comp-level) | |
| 1348 | (aset math-comp-buf-margin j | |
| 1349 | (+ (aref math-comp-buf-margin j) (- new mrg))) | |
| 1350 | (setq j (1+ j))) | |
| 1351 | (setq mrg new))) | |
| 1352 | (setq wid (+ (length str) comp-margin)) | |
| 1353 | (and (> (length str) 0) (= (aref str 0) ? ) | |
| 1354 | (> (length comp-buf) 0) | |
| 1355 | (let ((k (length comp-buf))) | |
| 1356 | (while (not (= (aref comp-buf (setq k (1- k))) ?\n))) | |
| 1357 | (aset comp-buf k ? ) | |
| 1358 | (if (and (< (1+ k) (length comp-buf)) | |
| 1359 | (= (aref comp-buf (1+ k)) ? )) | |
| 1360 | (progn | |
| 1361 | (aset comp-buf (1+ k) ?\n) | |
| 1362 | (setq prefix " ")) | |
| 1363 | (setq prefix "\n")))) | |
| 1364 | (setq comp-buf (concat comp-buf prefix str "\n" | |
| 1365 | (make-string mrg ? )) | |
| 1366 | comp-pos (+ comp-pos (- mrg wid)) | |
| 1367 | comp-margin mrg) | |
| 1368 | (aset math-comp-buf-string i "") | |
| 1369 | (while (<= (setq i (1+ i)) comp-level) | |
| 1370 | (if (> (aref math-comp-buf-margin i) wid) | |
| 1371 | (aset math-comp-buf-margin i | |
| 1372 | (+ (aref math-comp-buf-margin i) | |
| 1373 | (- mrg wid)))))))) | |
| 1374 | (if (and (= (nth 1 c) (aref math-comp-buf-level comp-level)) | |
| 1375 | (< comp-pos (+ (aref math-comp-buf-margin comp-level) 2))) | |
| 1376 | () ; avoid stupid breaks, e.g., "1 +\n really_long_expr" | |
| 1377 | (let ((str (aref math-comp-buf-string comp-level))) | |
| 1378 | (setq str (if (= (length str) 0) | |
| 1379 | comp-word | |
| 1380 | (concat str comp-word)) | |
| 1381 | comp-word "") | |
| 1382 | (while (< (nth 1 c) (aref math-comp-buf-level comp-level)) | |
| 1383 | (setq comp-level (1- comp-level)) | |
| 1384 | (or (= (length (aref math-comp-buf-string comp-level)) 0) | |
| 1385 | (setq str (concat (aref math-comp-buf-string comp-level) | |
| 1386 | str)))) | |
| 1387 | (aset math-comp-buf-string comp-level str))))) | |
| 1388 | ||
| 1389 | ((eq (car c) 'tag) | |
| 1390 | (cond ((eq (nth 1 c) math-comp-selected) | |
| 1391 | (let ((comp-highlight (not calc-show-selections))) | |
| 1392 | (math-comp-to-string-flat-term (nth 2 c)))) | |
| 1393 | ((eq (nth 1 c) t) | |
| 1394 | (let ((comp-highlight nil)) | |
| 1395 | (math-comp-to-string-flat-term (nth 2 c)))) | |
| 1396 | (t (math-comp-to-string-flat-term (nth 2 c))))) | |
| 1397 | ||
| bf77c646 | 1398 | (t (math-comp-to-string-flat-term (nth 2 c))))) |
| 136211a9 EZ |
1399 | |
| 1400 | (defun math-comp-highlight-string (s) | |
| 1401 | (setq s (copy-sequence s)) | |
| 1402 | (let ((i (length s))) | |
| 1403 | (while (>= (setq i (1- i)) 0) | |
| 1404 | (or (memq (aref s i) '(32 ?\n)) | |
| 1405 | (aset s i (if calc-show-selections ?\. ?\#))))) | |
| bf77c646 | 1406 | s) |
| 136211a9 EZ |
1407 | |
| 1408 | (defun math-comp-sel-flat-term (c) | |
| 1409 | (cond ((not (consp c)) | |
| 1410 | (setq comp-pos (+ comp-pos (length c)))) | |
| 1411 | ((memq (car c) '(set break))) | |
| 1412 | ((eq (car c) 'horiz) | |
| 1413 | (while (and (setq c (cdr c)) (< math-comp-sel-cpos 1000000)) | |
| 1414 | (math-comp-sel-flat-term (car c)))) | |
| 1415 | ((eq (car c) 'tag) | |
| 1416 | (if (<= comp-pos math-comp-sel-cpos) | |
| 1417 | (progn | |
| 1418 | (math-comp-sel-flat-term (nth 2 c)) | |
| 1419 | (if (> comp-pos math-comp-sel-cpos) | |
| 1420 | (setq math-comp-sel-tag c | |
| 1421 | math-comp-sel-cpos 1000000))) | |
| 1422 | (math-comp-sel-flat-term (nth 2 c)))) | |
| bf77c646 | 1423 | (t (math-comp-sel-flat-term (nth 2 c))))) |
| 136211a9 EZ |
1424 | |
| 1425 | ||
| 1426 | ;;; Simplify a composition to a canonical form consisting of | |
| 1427 | ;;; (vleft n "string" "string" "string" ...) | |
| 1428 | ;;; where 0 <= n < number-of-strings. | |
| 1429 | ||
| 1430 | (defun math-comp-simplify (c full-width) | |
| 1431 | (let ((comp-buf (list "")) | |
| 1432 | (comp-base 0) | |
| 1433 | (comp-height 1) | |
| 1434 | (comp-hpos 0) | |
| 1435 | (comp-vpos 0) | |
| 1436 | (comp-highlight (and math-comp-selected calc-show-selections)) | |
| 1437 | (comp-tag nil)) | |
| 1438 | (math-comp-simplify-term c) | |
| bf77c646 | 1439 | (cons 'vleft (cons comp-base comp-buf)))) |
| 136211a9 EZ |
1440 | |
| 1441 | (defun math-comp-add-string (s h v) | |
| 1442 | (and (> (length s) 0) | |
| 1443 | (let ((vv (+ v comp-base))) | |
| 1444 | (if math-comp-sel-hpos | |
| 1445 | (math-comp-add-string-sel h vv (length s) 1) | |
| 1446 | (if (< vv 0) | |
| 1447 | (setq comp-buf (nconc (make-list (- vv) "") comp-buf) | |
| 1448 | comp-base (- v) | |
| 1449 | comp-height (- comp-height vv) | |
| 1450 | vv 0) | |
| 1451 | (if (>= vv comp-height) | |
| 1452 | (setq comp-buf (nconc comp-buf | |
| 1453 | (make-list (1+ (- vv comp-height)) "")) | |
| 1454 | comp-height (1+ vv)))) | |
| 1455 | (let ((str (nthcdr vv comp-buf))) | |
| 1456 | (setcar str (concat (car str) | |
| 1457 | (make-string (- h (length (car str))) 32) | |
| 1458 | (if comp-highlight | |
| 1459 | (math-comp-highlight-string s) | |
| bf77c646 | 1460 | s)))))))) |
| 136211a9 EZ |
1461 | |
| 1462 | (defun math-comp-add-string-sel (x y w h) | |
| 1463 | (if (and (<= y math-comp-sel-vpos) | |
| 1464 | (> (+ y h) math-comp-sel-vpos) | |
| 1465 | (<= x math-comp-sel-hpos) | |
| 1466 | (> (+ x w) math-comp-sel-hpos)) | |
| 1467 | (setq math-comp-sel-tag comp-tag | |
| bf77c646 | 1468 | math-comp-sel-vpos 10000))) |
| 136211a9 EZ |
1469 | |
| 1470 | (defun math-comp-simplify-term (c) | |
| 1471 | (cond ((stringp c) | |
| 1472 | (math-comp-add-string c comp-hpos comp-vpos) | |
| 1473 | (setq comp-hpos (+ comp-hpos (length c)))) | |
| 1474 | ((memq (car c) '(set break)) | |
| 1475 | nil) | |
| 1476 | ((eq (car c) 'horiz) | |
| 1477 | (while (setq c (cdr c)) | |
| 1478 | (math-comp-simplify-term (car c)))) | |
| 1479 | ((memq (car c) '(vleft vcent vright)) | |
| 1480 | (let* ((comp-vpos (+ (- comp-vpos (nth 1 c)) | |
| 1481 | (1- (math-comp-ascent (nth 2 c))))) | |
| 1482 | (widths (mapcar 'math-comp-width (cdr (cdr c)))) | |
| 1483 | (maxwid (apply 'max widths)) | |
| 1484 | (bias (cond ((eq (car c) 'vleft) 0) | |
| 1485 | ((eq (car c) 'vcent) 1) | |
| 1486 | (t 2)))) | |
| 1487 | (setq c (cdr c)) | |
| 1488 | (while (setq c (cdr c)) | |
| 1489 | (if (eq (car-safe (car c)) 'rule) | |
| 1490 | (math-comp-add-string (make-string maxwid (nth 1 (car c))) | |
| 1491 | comp-hpos comp-vpos) | |
| 1492 | (let ((comp-hpos (+ comp-hpos (/ (* bias (- maxwid | |
| 1493 | (car widths))) | |
| 1494 | 2)))) | |
| 1495 | (math-comp-simplify-term (car c)))) | |
| 1496 | (and (cdr c) | |
| 1497 | (setq comp-vpos (+ comp-vpos | |
| 1498 | (+ (math-comp-descent (car c)) | |
| 1499 | (math-comp-ascent (nth 1 c)))) | |
| 1500 | widths (cdr widths)))) | |
| 1501 | (setq comp-hpos (+ comp-hpos maxwid)))) | |
| 1502 | ((eq (car c) 'supscr) | |
| 1503 | (let* ((asc (or 1 (math-comp-ascent (nth 1 c)))) | |
| 1504 | (desc (math-comp-descent (nth 2 c))) | |
| 1505 | (oldh (prog1 | |
| 1506 | comp-hpos | |
| 1507 | (math-comp-simplify-term (nth 1 c)))) | |
| 1508 | (comp-vpos (- comp-vpos (+ asc desc)))) | |
| 1509 | (math-comp-simplify-term (nth 2 c)) | |
| 1510 | (if math-comp-sel-hpos | |
| 1511 | (math-comp-add-string-sel oldh | |
| 1512 | (- comp-vpos | |
| 1513 | -1 | |
| 1514 | (math-comp-ascent (nth 2 c))) | |
| 1515 | (- comp-hpos oldh) | |
| 1516 | (math-comp-height c))))) | |
| 1517 | ((eq (car c) 'subscr) | |
| 1518 | (let* ((asc (math-comp-ascent (nth 2 c))) | |
| 1519 | (desc (math-comp-descent (nth 1 c))) | |
| 1520 | (oldv comp-vpos) | |
| 1521 | (oldh (prog1 | |
| 1522 | comp-hpos | |
| 1523 | (math-comp-simplify-term (nth 1 c)))) | |
| 1524 | (comp-vpos (+ comp-vpos (+ asc desc)))) | |
| 1525 | (math-comp-simplify-term (nth 2 c)) | |
| 1526 | (if math-comp-sel-hpos | |
| 1527 | (math-comp-add-string-sel oldh oldv | |
| 1528 | (- comp-hpos oldh) | |
| 1529 | (math-comp-height c))))) | |
| 1530 | ((eq (car c) 'tag) | |
| 1531 | (cond ((eq (nth 1 c) math-comp-selected) | |
| 1532 | (let ((comp-highlight (not calc-show-selections))) | |
| 1533 | (math-comp-simplify-term (nth 2 c)))) | |
| 1534 | ((eq (nth 1 c) t) | |
| 1535 | (let ((comp-highlight nil)) | |
| 1536 | (math-comp-simplify-term (nth 2 c)))) | |
| 1537 | (t (let ((comp-tag c)) | |
| bf77c646 | 1538 | (math-comp-simplify-term (nth 2 c)))))))) |
| 136211a9 EZ |
1539 | |
| 1540 | ||
| 1541 | ;;; Measuring a composition. | |
| 1542 | ||
| 1543 | (defun math-comp-first-char (c) | |
| 1544 | (cond ((stringp c) | |
| 1545 | (and (> (length c) 0) | |
| 1546 | (elt c 0))) | |
| 1547 | ((memq (car c) '(horiz subscr supscr)) | |
| 1548 | (while (and (setq c (cdr c)) | |
| 1549 | (math-comp-is-null (car c)))) | |
| 1550 | (and c (math-comp-first-char (car c)))) | |
| 1551 | ((eq (car c) 'tag) | |
| bf77c646 | 1552 | (math-comp-first-char (nth 2 c))))) |
| 136211a9 EZ |
1553 | |
| 1554 | (defun math-comp-first-string (c) | |
| 1555 | (cond ((stringp c) | |
| 1556 | (and (> (length c) 0) | |
| 1557 | c)) | |
| 1558 | ((eq (car c) 'horiz) | |
| 1559 | (while (and (setq c (cdr c)) | |
| 1560 | (math-comp-is-null (car c)))) | |
| 1561 | (and c (math-comp-first-string (car c)))) | |
| 1562 | ((eq (car c) 'tag) | |
| bf77c646 | 1563 | (math-comp-first-string (nth 2 c))))) |
| 136211a9 EZ |
1564 | |
| 1565 | (defun math-comp-last-char (c) | |
| 1566 | (cond ((stringp c) | |
| 1567 | (and (> (length c) 0) | |
| 1568 | (elt c (1- (length c))))) | |
| 1569 | ((eq (car c) 'horiz) | |
| 1570 | (let ((c (reverse (cdr c)))) | |
| 1571 | (while (and c (math-comp-is-null (car c))) | |
| 1572 | (setq c (cdr c))) | |
| 1573 | (and c (math-comp-last-char (car c))))) | |
| 1574 | ((eq (car c) 'tag) | |
| bf77c646 | 1575 | (math-comp-last-char (nth 2 c))))) |
| 136211a9 EZ |
1576 | |
| 1577 | (defun math-comp-is-null (c) | |
| 1578 | (cond ((stringp c) (= (length c) 0)) | |
| 1579 | ((memq (car c) '(horiz subscr supscr)) | |
| 1580 | (while (and (setq c (cdr c)) | |
| 1581 | (math-comp-is-null (car c)))) | |
| 1582 | (null c)) | |
| 1583 | ((eq (car c) 'tag) | |
| 1584 | (math-comp-is-null (nth 2 c))) | |
| bf77c646 | 1585 | ((memq (car c) '(set break)) t))) |
| 136211a9 EZ |
1586 | |
| 1587 | (defun math-comp-width (c) | |
| 1588 | (cond ((not (consp c)) (length c)) | |
| 1589 | ((memq (car c) '(horiz subscr supscr)) | |
| 1590 | (let ((accum 0)) | |
| 1591 | (while (setq c (cdr c)) | |
| 1592 | (setq accum (+ accum (math-comp-width (car c))))) | |
| 1593 | accum)) | |
| 1594 | ((memq (car c) '(vcent vleft vright)) | |
| 1595 | (setq c (cdr c)) | |
| 1596 | (let ((accum 0)) | |
| 1597 | (while (setq c (cdr c)) | |
| 1598 | (setq accum (max accum (math-comp-width (car c))))) | |
| 1599 | accum)) | |
| 1600 | ((eq (car c) 'tag) | |
| 1601 | (math-comp-width (nth 2 c))) | |
| bf77c646 | 1602 | (t 0))) |
| 136211a9 EZ |
1603 | |
| 1604 | (defun math-comp-height (c) | |
| 1605 | (if (stringp c) | |
| 1606 | 1 | |
| bf77c646 | 1607 | (+ (math-comp-ascent c) (math-comp-descent c)))) |
| 136211a9 EZ |
1608 | |
| 1609 | (defun math-comp-ascent (c) | |
| 1610 | (cond ((not (consp c)) 1) | |
| 1611 | ((eq (car c) 'horiz) | |
| 1612 | (let ((accum 0)) | |
| 1613 | (while (setq c (cdr c)) | |
| 1614 | (setq accum (max accum (math-comp-ascent (car c))))) | |
| 1615 | accum)) | |
| 1616 | ((memq (car c) '(vcent vleft vright)) | |
| 1617 | (if (> (nth 1 c) 0) (1+ (nth 1 c)) 1)) | |
| 1618 | ((eq (car c) 'supscr) | |
| 1619 | (max (math-comp-ascent (nth 1 c)) (1+ (math-comp-height (nth 2 c))))) | |
| 1620 | ((eq (car c) 'subscr) | |
| 1621 | (math-comp-ascent (nth 1 c))) | |
| 1622 | ((eq (car c) 'tag) | |
| 1623 | (math-comp-ascent (nth 2 c))) | |
| bf77c646 | 1624 | (t 1))) |
| 136211a9 EZ |
1625 | |
| 1626 | (defun math-comp-descent (c) | |
| 1627 | (cond ((not (consp c)) 0) | |
| 1628 | ((eq (car c) 'horiz) | |
| 1629 | (let ((accum 0)) | |
| 1630 | (while (setq c (cdr c)) | |
| 1631 | (setq accum (max accum (math-comp-descent (car c))))) | |
| 1632 | accum)) | |
| 1633 | ((memq (car c) '(vcent vleft vright)) | |
| 1634 | (let ((accum (- (nth 1 c)))) | |
| 1635 | (setq c (cdr c)) | |
| 1636 | (while (setq c (cdr c)) | |
| 1637 | (setq accum (+ accum (math-comp-height (car c))))) | |
| 1638 | (max (1- accum) 0))) | |
| 1639 | ((eq (car c) 'supscr) | |
| 1640 | (math-comp-descent (nth 1 c))) | |
| 1641 | ((eq (car c) 'subscr) | |
| 1642 | (+ (math-comp-descent (nth 1 c)) (math-comp-height (nth 2 c)))) | |
| 1643 | ((eq (car c) 'tag) | |
| 1644 | (math-comp-descent (nth 2 c))) | |
| bf77c646 | 1645 | (t 0))) |
| 136211a9 EZ |
1646 | |
| 1647 | (defun calcFunc-cwidth (a &optional prec) | |
| 1648 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
| bf77c646 | 1649 | (math-comp-width (math-compose-expr a (or prec 0)))) |
| 136211a9 EZ |
1650 | |
| 1651 | (defun calcFunc-cheight (a &optional prec) | |
| 1652 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
| 1653 | (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
| 1654 | (memq (length a) '(2 3)) | |
| 1655 | (eq (nth 1 a) 0)) | |
| 1656 | 0 | |
| bf77c646 | 1657 | (math-comp-height (math-compose-expr a (or prec 0))))) |
| 136211a9 EZ |
1658 | |
| 1659 | (defun calcFunc-cascent (a &optional prec) | |
| 1660 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
| 1661 | (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
| 1662 | (memq (length a) '(2 3)) | |
| 1663 | (eq (nth 1 a) 0)) | |
| 1664 | 0 | |
| bf77c646 | 1665 | (math-comp-ascent (math-compose-expr a (or prec 0))))) |
| 136211a9 EZ |
1666 | |
| 1667 | (defun calcFunc-cdescent (a &optional prec) | |
| 1668 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
| bf77c646 | 1669 | (math-comp-descent (math-compose-expr a (or prec 0)))) |
| 136211a9 EZ |
1670 | |
| 1671 | ||
| 1672 | ;;; Convert a simplified composition into string form. | |
| 1673 | ||
| 1674 | (defun math-vert-comp-to-string (c) | |
| 1675 | (if (stringp c) | |
| 1676 | c | |
| bf77c646 | 1677 | (math-vert-comp-to-string-step (cdr (cdr c))))) |
| 136211a9 EZ |
1678 | |
| 1679 | (defun math-vert-comp-to-string-step (c) | |
| 1680 | (if (cdr c) | |
| 1681 | (concat (car c) "\n" (math-vert-comp-to-string-step (cdr c))) | |
| bf77c646 | 1682 | (car c))) |
| 136211a9 EZ |
1683 | |
| 1684 | ||
| 1685 | ;;; Convert a composition to a string in "raw" form (for debugging). | |
| 1686 | ||
| 1687 | (defun math-comp-to-string-raw (c indent) | |
| 1688 | (cond ((or (not (consp c)) (eq (car c) 'set)) | |
| 1689 | (prin1-to-string c)) | |
| 1690 | ((null (cdr c)) | |
| 1691 | (concat "(" (symbol-name (car c)) ")")) | |
| 1692 | (t | |
| 1693 | (let ((next-indent (+ indent 2 (length (symbol-name (car c)))))) | |
| 1694 | (concat "(" | |
| 1695 | (symbol-name (car c)) | |
| 1696 | " " | |
| 1697 | (math-comp-to-string-raw (nth 1 c) next-indent) | |
| 1698 | (math-comp-to-string-raw-step (cdr (cdr c)) | |
| 1699 | next-indent) | |
| bf77c646 | 1700 | ")"))))) |
| 136211a9 EZ |
1701 | |
| 1702 | (defun math-comp-to-string-raw-step (cl indent) | |
| 1703 | (if cl | |
| 1704 | (concat "\n" | |
| 1705 | (make-string indent 32) | |
| 1706 | (math-comp-to-string-raw (car cl) indent) | |
| 1707 | (math-comp-to-string-raw-step (cdr cl) indent)) | |
| bf77c646 | 1708 | "")) |
| 136211a9 | 1709 | |
| 6b61353c | 1710 | ;;; arch-tag: 7c45d10a-a286-4dab-af49-7ae8989fbf78 |
| bf77c646 | 1711 | ;;; calccomp.el ends here |