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> | |
| fdcf8e2b | 6 | ;; Maintainer: Jay Belanger <belanger@truman.edu> |
| 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 | 25 | ;;; Commentary: |
| 136211a9 | 26 | |
| 3132f345 | 27 | ;;; Code: |
| 136211a9 EZ |
28 | |
| 29 | ;; This file is autoloaded from calc-ext.el. | |
| 30 | (require 'calc-ext) | |
| 31 | ||
| 32 | (require 'calc-macs) | |
| 33 | ||
| 34 | (defun calc-Need-calc-comp () nil) | |
| 35 | ||
| 3132f345 CW |
36 | (defconst math-eqn-special-funcs |
| 37 | '( calcFunc-log | |
| 38 | calcFunc-ln calcFunc-exp | |
| 39 | calcFunc-sin calcFunc-cos calcFunc-tan | |
| 40 | calcFunc-sinh calcFunc-cosh calcFunc-tanh | |
| 41 | calcFunc-arcsin calcFunc-arccos calcFunc-arctan | |
| 42 | calcFunc-arcsinh calcFunc-arccosh calcFunc-arctanh)) | |
| 136211a9 EZ |
43 | |
| 44 | ;;; A "composition" has one of the following forms: | |
| 45 | ;;; | |
| 46 | ;;; "string" A literal string | |
| 47 | ;;; | |
| 48 | ;;; (horiz C1 C2 ...) Horizontally abutted sub-compositions | |
| 49 | ;;; | |
| 50 | ;;; (set LEVEL OFF) Set left margin + offset for line-break level | |
| 51 | ;;; (break LEVEL) A potential line-break point | |
| 52 | ;;; | |
| 53 | ;;; (vleft N C1 C2 ...) Vertically stacked, left-justified sub-comps | |
| 54 | ;;; (vcent N C1 C2 ...) Vertically stacked, centered sub-comps | |
| 55 | ;;; (vright N C1 C2 ...) Vertically stacked, right-justified sub-comps | |
| 56 | ;;; N specifies baseline of the stack, 0=top line. | |
| 57 | ;;; | |
| 58 | ;;; (supscr C1 C2) Composition C1 with superscript C2 | |
| 59 | ;;; (subscr C1 C2) Composition C1 with subscript C2 | |
| 60 | ;;; (rule X) Horizontal line of X, full width of enclosing comp | |
| 61 | ;;; | |
| 62 | ;;; (tag X C) Composition C corresponds to sub-expression X | |
| 63 | ||
| fdcf8e2b JB |
64 | ;; math-comp-just and math-comp-comma-spc are local to |
| 65 | ;; math-compose-expr, but are used by math-compose-matrix, which is | |
| 66 | ;; called by math-compose-expr | |
| 67 | (defvar math-comp-just) | |
| 68 | (defvar math-comp-comma-spc) | |
| 69 | ||
| 70 | ;; math-comp-vector-prec is local to math-compose-expr, but is used by | |
| 71 | ;; math-compose-matrix and math-compose-rows, which are called by | |
| 72 | ;; math-compose-expr. | |
| 73 | (defvar math-comp-vector-prec) | |
| 74 | ||
| 75 | ;; math-comp-left-bracket, math-comp-right-bracket and math-comp-comma are | |
| 76 | ;; local to math-compose-expr, but are used by math-compose-rows, which is | |
| 77 | ;; called by math-compose-expr. | |
| 78 | (defvar math-comp-left-bracket) | |
| 79 | (defvar math-comp-right-bracket) | |
| 80 | (defvar math-comp-comma) | |
| 81 | ||
| 82 | ||
| 136211a9 EZ |
83 | (defun math-compose-expr (a prec) |
| 84 | (let ((math-compose-level (1+ math-compose-level))) | |
| 85 | (cond | |
| 86 | ((or (and (eq a math-comp-selected) a) | |
| 87 | (and math-comp-tagged | |
| 88 | (not (eq math-comp-tagged a)))) | |
| 89 | (let ((math-comp-selected nil)) | |
| 90 | (and math-comp-tagged (setq math-comp-tagged a)) | |
| 91 | (list 'tag a (math-compose-expr a prec)))) | |
| 92 | ((and (not (consp a)) (not (integerp a))) | |
| 93 | (concat "'" (prin1-to-string a))) | |
| 94 | ((math-scalarp a) | |
| 95 | (if (or (eq (car-safe a) 'frac) | |
| 96 | (and (nth 1 calc-frac-format) (Math-integerp a))) | |
| 97 | (if (memq calc-language '(tex eqn math maple c fortran pascal)) | |
| 98 | (let ((aa (math-adjust-fraction a)) | |
| 99 | (calc-frac-format nil)) | |
| 100 | (math-compose-expr (list '/ | |
| 101 | (if (memq calc-language '(c fortran)) | |
| 102 | (math-float (nth 1 aa)) | |
| 103 | (nth 1 aa)) | |
| 104 | (nth 2 aa)) prec)) | |
| 105 | (if (and (eq calc-language 'big) | |
| 106 | (= (length (car calc-frac-format)) 1)) | |
| 107 | (let* ((aa (math-adjust-fraction a)) | |
| 108 | (calc-frac-format nil) | |
| 109 | (math-radix-explicit-format nil) | |
| 110 | (c (list 'horiz | |
| 111 | (if (math-negp (nth 1 aa)) | |
| 112 | "- " "") | |
| 113 | (list 'vcent 1 | |
| 114 | (math-format-number | |
| 115 | (math-abs (nth 1 aa))) | |
| 116 | '(rule ?-) | |
| 117 | (math-format-number (nth 2 aa)))))) | |
| 118 | (if (= calc-number-radix 10) | |
| 119 | c | |
| 120 | (list 'horiz "(" c | |
| 121 | (list 'subscr ")" | |
| 122 | (int-to-string calc-number-radix))))) | |
| 123 | (math-format-number a))) | |
| 124 | (if (not (eq calc-language 'big)) | |
| 125 | (math-format-number a prec) | |
| 126 | (if (memq (car-safe a) '(cplx polar)) | |
| 127 | (if (math-zerop (nth 2 a)) | |
| 128 | (math-compose-expr (nth 1 a) prec) | |
| 129 | (list 'horiz "(" | |
| 130 | (math-compose-expr (nth 1 a) 0) | |
| 131 | (if (eq (car a) 'cplx) ", " "; ") | |
| 132 | (math-compose-expr (nth 2 a) 0) ")")) | |
| 133 | (if (or (= calc-number-radix 10) | |
| 134 | (not (Math-realp a)) | |
| 135 | (and calc-group-digits | |
| 136 | (not (assoc calc-group-char '((",") (" ")))))) | |
| 137 | (math-format-number a prec) | |
| 138 | (let ((s (math-format-number a prec)) | |
| 139 | (c nil)) | |
| 140 | (while (string-match (if (> calc-number-radix 14) | |
| 141 | "\\([0-9]+\\)#\\([0-9a-zA-Z., ]+\\)" | |
| 142 | "\\([0-9]+\\)#\\([0-9a-dA-D., ]+\\)") | |
| 143 | s) | |
| 144 | (setq c (nconc c (list (substring s 0 (match-beginning 0)) | |
| 145 | (list 'subscr | |
| 146 | (math-match-substring s 2) | |
| 147 | (math-match-substring s 1)))) | |
| 148 | s (substring s (match-end 0)))) | |
| 149 | (if (string-match | |
| 150 | "\\*\\([0-9.]+\\)\\^\\(-?[0-9]+\\)\\()?\\)\\'" s) | |
| 151 | (setq s (list 'horiz | |
| 152 | (substring s 0 (match-beginning 0)) " " | |
| 153 | (list 'supscr | |
| 154 | (math-match-substring s 1) | |
| 155 | (math-match-substring s 2)) | |
| 156 | (math-match-substring s 3)))) | |
| 157 | (if c (cons 'horiz (nconc c (list s))) s))))))) | |
| 158 | ((and (get (car a) 'math-compose-forms) | |
| 159 | (not (eq calc-language 'unform)) | |
| 160 | (let ((comps (get (car a) 'math-compose-forms)) | |
| 161 | temp temp2) | |
| 162 | (or (and (setq temp (assq calc-language comps)) | |
| 163 | (or (and (setq temp2 (assq (1- (length a)) (cdr temp))) | |
| 164 | (setq temp (apply (cdr temp2) (cdr a))) | |
| 165 | (math-compose-expr temp prec)) | |
| 166 | (and (setq temp2 (assq nil (cdr temp))) | |
| 167 | (funcall (cdr temp2) a)))) | |
| 168 | (and (setq temp (assq nil comps)) | |
| 169 | (or (and (setq temp2 (assq (1- (length a)) (cdr temp))) | |
| 170 | (setq temp (apply (cdr temp2) (cdr a))) | |
| 171 | (math-compose-expr temp prec)) | |
| 172 | (and (setq temp2 (assq nil (cdr temp))) | |
| 173 | (funcall (cdr temp2) a)))))))) | |
| 174 | ((eq (car a) 'vec) | |
| fdcf8e2b | 175 | (let* ((math-comp-left-bracket (if calc-vector-brackets |
| 136211a9 | 176 | (substring calc-vector-brackets 0 1) "")) |
| fdcf8e2b | 177 | (math-comp-right-bracket (if calc-vector-brackets |
| 136211a9 EZ |
178 | (substring calc-vector-brackets 1 2) "")) |
| 179 | (inner-brackets (memq 'R calc-matrix-brackets)) | |
| 180 | (outer-brackets (memq 'O calc-matrix-brackets)) | |
| 181 | (row-commas (memq 'C calc-matrix-brackets)) | |
| fdcf8e2b JB |
182 | (math-comp-comma-spc (or calc-vector-commas " ")) |
| 183 | (math-comp-comma (or calc-vector-commas "")) | |
| 184 | (math-comp-vector-prec (if (or (and calc-vector-commas | |
| 136211a9 EZ |
185 | (math-vector-no-parens a)) |
| 186 | (memq 'P calc-matrix-brackets)) 0 1000)) | |
| fdcf8e2b JB |
187 | (math-comp-just (cond ((eq calc-matrix-just 'right) 'vright) |
| 188 | ((eq calc-matrix-just 'center) 'vcent) | |
| 189 | (t 'vleft))) | |
| 136211a9 EZ |
190 | (break calc-break-vectors)) |
| 191 | (if (and (memq calc-language '(nil big)) | |
| 192 | (not calc-break-vectors) | |
| 193 | (math-matrixp a) (not (math-matrixp (nth 1 a))) | |
| 194 | (or calc-full-vectors | |
| 195 | (and (< (length a) 7) (< (length (nth 1 a)) 7)) | |
| 196 | (progn (setq break t) nil))) | |
| 197 | (if (progn | |
| fdcf8e2b JB |
198 | (setq math-comp-vector-prec (if (or (and calc-vector-commas |
| 199 | (math-vector-no-parens | |
| 200 | (nth 1 a))) | |
| 201 | (memq 'P calc-matrix-brackets)) | |
| 202 | 0 1000)) | |
| 136211a9 EZ |
203 | (= (length a) 2)) |
| 204 | (list 'horiz | |
| fdcf8e2b JB |
205 | (concat math-comp-left-bracket math-comp-left-bracket " ") |
| 206 | (math-compose-vector (cdr (nth 1 a)) (concat math-comp-comma " ") | |
| 207 | math-comp-vector-prec) | |
| 208 | (concat " " math-comp-right-bracket math-comp-right-bracket)) | |
| 136211a9 EZ |
209 | (let* ((rows (1- (length a))) |
| 210 | (cols (1- (length (nth 1 a)))) | |
| 211 | (base (/ (1- rows) 2)) | |
| 212 | (calc-language 'flat)) | |
| 213 | (append '(horiz) | |
| 214 | (list (append '(vleft) | |
| 215 | (list base) | |
| 216 | (list (concat (and outer-brackets | |
| fdcf8e2b | 217 | (concat math-comp-left-bracket |
| 136211a9 EZ |
218 | " ")) |
| 219 | (and inner-brackets | |
| fdcf8e2b | 220 | (concat math-comp-left-bracket |
| 136211a9 EZ |
221 | " ")))) |
| 222 | (make-list (1- rows) | |
| 223 | (concat (and outer-brackets | |
| 224 | " ") | |
| 225 | (and inner-brackets | |
| 226 | (concat | |
| fdcf8e2b | 227 | math-comp-left-bracket |
| 136211a9 EZ |
228 | " ")))))) |
| 229 | (math-compose-matrix (cdr a) 1 cols base) | |
| 230 | (list (append '(vleft) | |
| 231 | (list base) | |
| 232 | (make-list (1- rows) | |
| 233 | (if inner-brackets | |
| 234 | (concat " " | |
| fdcf8e2b | 235 | math-comp-right-bracket |
| 136211a9 | 236 | (and row-commas |
| fdcf8e2b | 237 | math-comp-comma)) |
| 136211a9 EZ |
238 | (if (and outer-brackets |
| 239 | row-commas) | |
| 240 | ";" ""))) | |
| 241 | (list (concat | |
| 242 | (and inner-brackets | |
| 243 | (concat " " | |
| fdcf8e2b | 244 | math-comp-right-bracket)) |
| 136211a9 EZ |
245 | (and outer-brackets |
| 246 | (concat | |
| 247 | " " | |
| fdcf8e2b | 248 | math-comp-right-bracket))))))))) |
| 136211a9 EZ |
249 | (if (and calc-display-strings |
| 250 | (cdr a) | |
| 251 | (math-vector-is-string a)) | |
| 252 | (math-vector-to-string a t) | |
| 253 | (if (and break (cdr a) | |
| 254 | (not (eq calc-language 'flat))) | |
| 255 | (let* ((full (or calc-full-vectors (< (length a) 7))) | |
| 256 | (rows (if full (1- (length a)) 5)) | |
| 257 | (base (/ (1- rows) 2)) | |
| 136211a9 EZ |
258 | (calc-break-vectors nil)) |
| 259 | (list 'horiz | |
| 260 | (cons 'vleft (cons base | |
| 261 | (math-compose-rows | |
| 262 | (cdr a) | |
| 263 | (if full rows 3) t))))) | |
| 264 | (if (or calc-full-vectors (< (length a) 7)) | |
| 265 | (if (and (eq calc-language 'tex) | |
| 266 | (math-matrixp a)) | |
| 267 | (append '(horiz "\\matrix{ ") | |
| 268 | (math-compose-tex-matrix (cdr a)) | |
| 269 | '(" }")) | |
| 270 | (if (and (eq calc-language 'eqn) | |
| 271 | (math-matrixp a)) | |
| 272 | (append '(horiz "matrix { ") | |
| 273 | (math-compose-eqn-matrix | |
| 274 | (cdr (math-transpose a))) | |
| 275 | '("}")) | |
| 276 | (if (and (eq calc-language 'maple) | |
| 277 | (math-matrixp a)) | |
| 278 | (list 'horiz | |
| 279 | "matrix(" | |
| fdcf8e2b JB |
280 | math-comp-left-bracket |
| 281 | (math-compose-vector (cdr a) | |
| 282 | (concat math-comp-comma " ") | |
| 283 | math-comp-vector-prec) | |
| 284 | math-comp-right-bracket | |
| 136211a9 EZ |
285 | ")") |
| 286 | (list 'horiz | |
| fdcf8e2b JB |
287 | math-comp-left-bracket |
| 288 | (math-compose-vector (cdr a) | |
| 289 | (concat math-comp-comma " ") | |
| 290 | math-comp-vector-prec) | |
| 291 | math-comp-right-bracket)))) | |
| 136211a9 | 292 | (list 'horiz |
| fdcf8e2b | 293 | math-comp-left-bracket |
| 136211a9 | 294 | (math-compose-vector (list (nth 1 a) (nth 2 a) (nth 3 a)) |
| fdcf8e2b JB |
295 | (concat math-comp-comma " ") |
| 296 | math-comp-vector-prec) | |
| 297 | math-comp-comma (if (eq calc-language 'tex) " \\ldots" " ...") | |
| 298 | math-comp-comma " " | |
| 136211a9 EZ |
299 | (list 'break math-compose-level) |
| 300 | (math-compose-expr (nth (1- (length a)) a) | |
| fdcf8e2b JB |
301 | (if (equal math-comp-comma "") 1000 0)) |
| 302 | math-comp-right-bracket))))))) | |
| 136211a9 EZ |
303 | ((eq (car a) 'incomplete) |
| 304 | (if (cdr (cdr a)) | |
| 305 | (cond ((eq (nth 1 a) 'vec) | |
| 306 | (list 'horiz "[" | |
| 307 | (math-compose-vector (cdr (cdr a)) ", " 0) | |
| 308 | " ...")) | |
| 309 | ((eq (nth 1 a) 'cplx) | |
| 310 | (list 'horiz "(" | |
| 311 | (math-compose-vector (cdr (cdr a)) ", " 0) | |
| 312 | ", ...")) | |
| 313 | ((eq (nth 1 a) 'polar) | |
| 314 | (list 'horiz "(" | |
| 315 | (math-compose-vector (cdr (cdr a)) "; " 0) | |
| 316 | "; ...")) | |
| 317 | ((eq (nth 1 a) 'intv) | |
| 318 | (list 'horiz | |
| 319 | (if (memq (nth 2 a) '(0 1)) "(" "[") | |
| 320 | (math-compose-vector (cdr (cdr (cdr a))) " .. " 0) | |
| 321 | " .. ...")) | |
| 322 | (t (format "%s" a))) | |
| 323 | (cond ((eq (nth 1 a) 'vec) "[ ...") | |
| 324 | ((eq (nth 1 a) 'intv) | |
| 325 | (if (memq (nth 2 a) '(0 1)) "( ..." "[ ...")) | |
| 326 | (t "( ...")))) | |
| 327 | ((eq (car a) 'var) | |
| 328 | (let ((v (rassq (nth 2 a) math-expr-variable-mapping))) | |
| 329 | (if v | |
| 330 | (symbol-name (car v)) | |
| 331 | (if (and (eq calc-language 'tex) | |
| 332 | calc-language-option | |
| 333 | (not (= calc-language-option 0)) | |
| 334 | (string-match "\\`[a-zA-Z][a-zA-Z0-9]+\\'" | |
| 335 | (symbol-name (nth 1 a)))) | |
| 336 | (format "\\hbox{%s}" (symbol-name (nth 1 a))) | |
| 337 | (if (and math-compose-hash-args | |
| 338 | (let ((p calc-arg-values)) | |
| 339 | (setq v 1) | |
| 340 | (while (and p (not (equal (car p) a))) | |
| 341 | (setq p (and (eq math-compose-hash-args t) (cdr p)) | |
| 342 | v (1+ v))) | |
| 343 | p)) | |
| 344 | (if (eq math-compose-hash-args 1) | |
| 345 | "#" | |
| 346 | (format "#%d" v)) | |
| 347 | (if (memq calc-language '(c fortran pascal maple)) | |
| 348 | (math-to-underscores (symbol-name (nth 1 a))) | |
| 349 | (if (and (eq calc-language 'eqn) | |
| 350 | (string-match ".'\\'" (symbol-name (nth 2 a)))) | |
| 351 | (math-compose-expr | |
| 352 | (list 'calcFunc-Prime | |
| 353 | (list | |
| 354 | 'var | |
| 355 | (intern (substring (symbol-name (nth 1 a)) 0 -1)) | |
| 356 | (intern (substring (symbol-name (nth 2 a)) 0 -1)))) | |
| 357 | prec) | |
| 358 | (symbol-name (nth 1 a))))))))) | |
| 359 | ((eq (car a) 'intv) | |
| 360 | (list 'horiz | |
| 361 | (if (eq calc-language 'maple) "" | |
| 362 | (if (memq (nth 1 a) '(0 1)) "(" "[")) | |
| 363 | (math-compose-expr (nth 2 a) 0) | |
| 364 | (if (eq calc-language 'tex) " \\ldots " | |
| 365 | (if (eq calc-language 'eqn) " ... " " .. ")) | |
| 366 | (math-compose-expr (nth 3 a) 0) | |
| 367 | (if (eq calc-language 'maple) "" | |
| 368 | (if (memq (nth 1 a) '(0 2)) ")" "]")))) | |
| 369 | ((eq (car a) 'date) | |
| 370 | (if (eq (car calc-date-format) 'X) | |
| 371 | (math-format-date a) | |
| 372 | (concat "<" (math-format-date a) ">"))) | |
| 373 | ((and (eq (car a) 'calcFunc-subscr) (cdr (cdr a)) | |
| 374 | (memq calc-language '(c pascal fortran maple))) | |
| 375 | (let ((args (cdr (cdr a)))) | |
| 376 | (while (and (memq calc-language '(pascal fortran)) | |
| 377 | (eq (car-safe (nth 1 a)) 'calcFunc-subscr)) | |
| 378 | (setq args (append (cdr (cdr (nth 1 a))) args) | |
| 379 | a (nth 1 a))) | |
| 380 | (list 'horiz | |
| 381 | (math-compose-expr (nth 1 a) 1000) | |
| 382 | (if (eq calc-language 'fortran) "(" "[") | |
| 383 | (math-compose-vector args ", " 0) | |
| 384 | (if (eq calc-language 'fortran) ")" "]")))) | |
| 385 | ((and (eq (car a) 'calcFunc-subscr) (= (length a) 3) | |
| 386 | (eq calc-language 'big)) | |
| 387 | (let* ((a1 (math-compose-expr (nth 1 a) 1000)) | |
| 388 | (calc-language 'flat) | |
| 389 | (a2 (math-compose-expr (nth 2 a) 0))) | |
| 390 | (if (or (eq (car-safe a1) 'subscr) | |
| 391 | (and (eq (car-safe a1) 'tag) | |
| 392 | (eq (car-safe (nth 2 a1)) 'subscr) | |
| 393 | (setq a1 (nth 2 a1)))) | |
| 394 | (list 'subscr | |
| 395 | (nth 1 a1) | |
| 396 | (list 'horiz | |
| 397 | (nth 2 a1) | |
| 398 | ", " | |
| 399 | a2)) | |
| 400 | (list 'subscr a1 a2)))) | |
| 401 | ((and (eq (car a) 'calcFunc-subscr) (= (length a) 3) | |
| 402 | (eq calc-language 'math)) | |
| 403 | (list 'horiz | |
| 404 | (math-compose-expr (nth 1 a) 1000) | |
| 405 | "[[" | |
| 406 | (math-compose-expr (nth 2 a) 0) | |
| 407 | "]]")) | |
| 408 | ((and (eq (car a) 'calcFunc-sqrt) | |
| 409 | (eq calc-language 'tex)) | |
| 410 | (list 'horiz | |
| 411 | "\\sqrt{" | |
| 412 | (math-compose-expr (nth 1 a) 0) | |
| 413 | "}")) | |
| 414 | ((and nil (eq (car a) 'calcFunc-sqrt) | |
| 415 | (eq calc-language 'eqn)) | |
| 416 | (list 'horiz | |
| 417 | "sqrt {" | |
| 418 | (math-compose-expr (nth 1 a) -1) | |
| 419 | "}")) | |
| 420 | ((and (eq (car a) '^) | |
| 421 | (eq calc-language 'big)) | |
| 422 | (list 'supscr | |
| 423 | (if (or (math-looks-negp (nth 1 a)) | |
| 424 | (memq (car-safe (nth 1 a)) '(^ / frac calcFunc-sqrt)) | |
| 425 | (and (eq (car-safe (nth 1 a)) 'cplx) | |
| 426 | (math-negp (nth 1 (nth 1 a))) | |
| 427 | (eq (nth 2 (nth 1 a)) 0))) | |
| 428 | (list 'horiz "(" (math-compose-expr (nth 1 a) 0) ")") | |
| 429 | (math-compose-expr (nth 1 a) 201)) | |
| 430 | (let ((calc-language 'flat) | |
| 431 | (calc-number-radix 10)) | |
| 432 | (math-compose-expr (nth 2 a) 0)))) | |
| 433 | ((and (eq (car a) '/) | |
| 434 | (eq calc-language 'big)) | |
| 435 | (let ((a1 (let ((calc-language (if (memq (car-safe (nth 1 a)) '(/ frac)) | |
| 436 | 'flat 'big))) | |
| 437 | (math-compose-expr (nth 1 a) 0))) | |
| 438 | (a2 (let ((calc-language (if (memq (car-safe (nth 2 a)) '(/ frac)) | |
| 439 | 'flat 'big))) | |
| 440 | (math-compose-expr (nth 2 a) 0)))) | |
| 441 | (list 'vcent | |
| 442 | (math-comp-height a1) | |
| 443 | a1 '(rule ?-) a2))) | |
| 444 | ((and (memq (car a) '(calcFunc-sum calcFunc-prod)) | |
| 445 | (eq calc-language 'tex) | |
| 446 | (= (length a) 5)) | |
| 447 | (list 'horiz (if (eq (car a) 'calcFunc-sum) "\\sum" "\\prod") | |
| 448 | "_{" (math-compose-expr (nth 2 a) 0) | |
| 449 | "=" (math-compose-expr (nth 3 a) 0) | |
| 450 | "}^{" (math-compose-expr (nth 4 a) 0) | |
| 451 | "}{" (math-compose-expr (nth 1 a) 0) "}")) | |
| 452 | ((and (eq (car a) 'calcFunc-lambda) | |
| 453 | (> (length a) 2) | |
| 454 | (memq calc-language '(nil flat big))) | |
| 455 | (let ((p (cdr a)) | |
| 456 | (ap calc-arg-values) | |
| 457 | (math-compose-hash-args (if (= (length a) 3) 1 t))) | |
| 458 | (while (and (cdr p) (equal (car p) (car ap))) | |
| 459 | (setq p (cdr p) ap (cdr ap))) | |
| 460 | (append '(horiz "<") | |
| 461 | (if (cdr p) | |
| 462 | (list (math-compose-vector | |
| 463 | (nreverse (cdr (reverse (cdr a)))) ", " 0) | |
| 464 | " : ") | |
| 465 | nil) | |
| 466 | (list (math-compose-expr (nth (1- (length a)) a) 0) | |
| 467 | ">")))) | |
| 468 | ((and (eq (car a) 'calcFunc-string) | |
| 469 | (= (length a) 2) | |
| 470 | (math-vectorp (nth 1 a)) | |
| 471 | (math-vector-is-string (nth 1 a))) | |
| 472 | (if (eq calc-language 'unform) | |
| 473 | (concat "string(" (math-vector-to-string (nth 1 a) t) ")") | |
| 474 | (math-vector-to-string (nth 1 a) nil))) | |
| 475 | ((and (eq (car a) 'calcFunc-bstring) | |
| 476 | (= (length a) 2) | |
| 477 | (math-vectorp (nth 1 a)) | |
| 478 | (math-vector-is-string (nth 1 a))) | |
| 479 | (if (eq calc-language 'unform) | |
| 480 | (concat "bstring(" (math-vector-to-string (nth 1 a) t) ")") | |
| 481 | (let ((c nil) | |
| 482 | (s (math-vector-to-string (nth 1 a) nil)) | |
| 483 | p) | |
| 484 | (while (string-match "[^ ] +[^ ]" s) | |
| 485 | (setq p (1- (match-end 0)) | |
| 486 | c (cons (list 'break math-compose-level) | |
| 487 | (cons (substring s 0 p) | |
| 488 | c)) | |
| 489 | s (substring s p))) | |
| 490 | (setq c (nreverse (cons s c))) | |
| 491 | (or (= prec -123) | |
| 492 | (setq c (cons (list 'set math-compose-level 2) c))) | |
| 493 | (cons 'horiz c)))) | |
| 494 | ((and (eq (car a) 'calcFunc-cprec) | |
| 495 | (not (eq calc-language 'unform)) | |
| 496 | (= (length a) 3) | |
| 497 | (integerp (nth 2 a))) | |
| 498 | (let ((c (math-compose-expr (nth 1 a) -1))) | |
| 499 | (if (> prec (nth 2 a)) | |
| 500 | (if (eq calc-language 'tex) | |
| 501 | (list 'horiz "\\left( " c " \\right)") | |
| 502 | (if (eq calc-language 'eqn) | |
| 503 | (list 'horiz "{left ( " c " right )}") | |
| 504 | (list 'horiz "(" c ")"))) | |
| 505 | c))) | |
| 506 | ((and (eq (car a) 'calcFunc-choriz) | |
| 507 | (not (eq calc-language 'unform)) | |
| 508 | (memq (length a) '(2 3 4)) | |
| 509 | (math-vectorp (nth 1 a)) | |
| 510 | (if (integerp (nth 2 a)) | |
| 511 | (or (null (nth 3 a)) | |
| 512 | (and (math-vectorp (nth 3 a)) | |
| 513 | (math-vector-is-string (nth 3 a)))) | |
| 514 | (or (null (nth 2 a)) | |
| 515 | (and (math-vectorp (nth 2 a)) | |
| 516 | (math-vector-is-string (nth 2 a)))))) | |
| 517 | (let* ((cprec (and (integerp (nth 2 a)) (nth 2 a))) | |
| 518 | (sep (nth (if cprec 3 2) a)) | |
| 519 | (bprec nil)) | |
| 520 | (if sep | |
| 521 | (math-compose-vector (cdr (nth 1 a)) | |
| 522 | (math-vector-to-string sep nil) | |
| 523 | (or cprec prec)) | |
| 524 | (cons 'horiz (mapcar (function | |
| 525 | (lambda (x) | |
| 526 | (if (eq (car-safe x) 'calcFunc-bstring) | |
| 527 | (prog1 | |
| 528 | (math-compose-expr | |
| 529 | x (or bprec cprec prec)) | |
| 530 | (setq bprec -123)) | |
| 531 | (math-compose-expr x (or cprec prec))))) | |
| 532 | (cdr (nth 1 a))))))) | |
| 533 | ((and (memq (car a) '(calcFunc-cvert calcFunc-clvert calcFunc-crvert)) | |
| 534 | (not (eq calc-language 'unform)) | |
| 535 | (memq (length a) '(2 3)) | |
| 536 | (math-vectorp (nth 1 a)) | |
| 537 | (or (null (nth 2 a)) | |
| 538 | (integerp (nth 2 a)))) | |
| 539 | (let* ((base 0) | |
| 540 | (v 0) | |
| 541 | (prec (or (nth 2 a) prec)) | |
| 542 | (c (mapcar (function | |
| 543 | (lambda (x) | |
| 544 | (let ((b nil) (cc nil) a d) | |
| 545 | (if (and (memq (car-safe x) '(calcFunc-cbase | |
| 546 | calcFunc-ctbase | |
| 547 | calcFunc-cbbase)) | |
| 548 | (memq (length x) '(1 2))) | |
| 549 | (setq b (car x) | |
| 550 | x (nth 1 x))) | |
| 551 | (if (and (eq (car-safe x) 'calcFunc-crule) | |
| 552 | (memq (length x) '(1 2)) | |
| 553 | (or (null (nth 1 x)) | |
| 554 | (and (math-vectorp (nth 1 x)) | |
| 555 | (= (length (nth 1 x)) 2) | |
| 556 | (math-vector-is-string | |
| 557 | (nth 1 x))) | |
| 558 | (and (natnump (nth 1 x)) | |
| 559 | (<= (nth 1 x) 255)))) | |
| 560 | (setq cc (list | |
| 561 | 'rule | |
| 562 | (if (math-vectorp (nth 1 x)) | |
| 563 | (aref (math-vector-to-string | |
| 564 | (nth 1 x) nil) 0) | |
| 565 | (or (nth 1 x) ?-)))) | |
| 566 | (or (and (memq (car-safe x) '(calcFunc-cvspace | |
| 567 | calcFunc-ctspace | |
| 568 | calcFunc-cbspace)) | |
| 569 | (memq (length x) '(2 3)) | |
| 570 | (eq (nth 1 x) 0)) | |
| 571 | (null x) | |
| 572 | (setq cc (math-compose-expr x prec)))) | |
| 573 | (setq a (if cc (math-comp-ascent cc) 0) | |
| 574 | d (if cc (math-comp-descent cc) 0)) | |
| 575 | (if (eq b 'calcFunc-cbase) | |
| 576 | (setq base (+ v a -1)) | |
| 577 | (if (eq b 'calcFunc-ctbase) | |
| 578 | (setq base v) | |
| 579 | (if (eq b 'calcFunc-cbbase) | |
| 580 | (setq base (+ v a d -1))))) | |
| 581 | (setq v (+ v a d)) | |
| 582 | cc))) | |
| 583 | (cdr (nth 1 a))))) | |
| 584 | (setq c (delq nil c)) | |
| 585 | (if c | |
| 586 | (cons (if (eq (car a) 'calcFunc-cvert) 'vcent | |
| 587 | (if (eq (car a) 'calcFunc-clvert) 'vleft 'vright)) | |
| 588 | (cons base c)) | |
| 589 | " "))) | |
| 590 | ((and (memq (car a) '(calcFunc-csup calcFunc-csub)) | |
| 591 | (not (eq calc-language 'unform)) | |
| 592 | (memq (length a) '(3 4)) | |
| 593 | (or (null (nth 3 a)) | |
| 594 | (integerp (nth 3 a)))) | |
| 595 | (list (if (eq (car a) 'calcFunc-csup) 'supscr 'subscr) | |
| 596 | (math-compose-expr (nth 1 a) (or (nth 3 a) 0)) | |
| 597 | (math-compose-expr (nth 2 a) 0))) | |
| 598 | ((and (eq (car a) 'calcFunc-cflat) | |
| 599 | (not (eq calc-language 'unform)) | |
| 600 | (memq (length a) '(2 3)) | |
| 601 | (or (null (nth 2 a)) | |
| 602 | (integerp (nth 2 a)))) | |
| 603 | (let ((calc-language (if (memq calc-language '(nil big)) | |
| 604 | 'flat calc-language))) | |
| 605 | (math-compose-expr (nth 1 a) (or (nth 2 a) 0)))) | |
| 606 | ((and (eq (car a) 'calcFunc-cspace) | |
| 607 | (memq (length a) '(2 3)) | |
| 608 | (natnump (nth 1 a))) | |
| 609 | (if (nth 2 a) | |
| 610 | (cons 'horiz (make-list (nth 1 a) | |
| 611 | (if (and (math-vectorp (nth 2 a)) | |
| 612 | (math-vector-is-string (nth 2 a))) | |
| 613 | (math-vector-to-string (nth 2 a) nil) | |
| 614 | (math-compose-expr (nth 2 a) 0)))) | |
| 615 | (make-string (nth 1 a) ?\ ))) | |
| 616 | ((and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
| 617 | (memq (length a) '(2 3)) | |
| 618 | (natnump (nth 1 a))) | |
| 619 | (if (= (nth 1 a) 0) | |
| 620 | "" | |
| 621 | (let* ((c (if (nth 2 a) | |
| 622 | (if (and (math-vectorp (nth 2 a)) | |
| 623 | (math-vector-is-string (nth 2 a))) | |
| 624 | (math-vector-to-string (nth 2 a) nil) | |
| 625 | (math-compose-expr (nth 2 a) 0)) | |
| 626 | " ")) | |
| 627 | (ca (math-comp-ascent c)) | |
| 628 | (cd (math-comp-descent c))) | |
| 629 | (cons 'vleft | |
| 630 | (cons (if (eq (car a) 'calcFunc-ctspace) | |
| 631 | (1- ca) | |
| 632 | (if (eq (car a) 'calcFunc-cbspace) | |
| 633 | (+ (* (1- (nth 1 a)) (+ ca cd)) (1- ca)) | |
| 634 | (/ (1- (* (nth 1 a) (+ ca cd))) 2))) | |
| 635 | (make-list (nth 1 a) c)))))) | |
| 636 | ((and (eq (car a) 'calcFunc-evalto) | |
| 637 | (setq calc-any-evaltos t) | |
| 638 | (memq calc-language '(tex eqn)) | |
| 639 | (= math-compose-level (if math-comp-tagged 2 1)) | |
| 640 | (= (length a) 3)) | |
| 641 | (list 'horiz | |
| 642 | (if (eq calc-language 'tex) "\\evalto " "evalto ") | |
| 643 | (math-compose-expr (nth 1 a) 0) | |
| 644 | (if (eq calc-language 'tex) " \\to " " -> ") | |
| 645 | (math-compose-expr (nth 2 a) 0))) | |
| 646 | (t | |
| 647 | (let ((op (and (not (eq calc-language 'unform)) | |
| 648 | (if (and (eq (car a) 'calcFunc-if) (= (length a) 4)) | |
| 649 | (assoc "?" math-expr-opers) | |
| 650 | (math-assq2 (car a) math-expr-opers))))) | |
| 651 | (cond ((and op | |
| 652 | (or (= (length a) 3) (eq (car a) 'calcFunc-if)) | |
| 653 | (/= (nth 3 op) -1)) | |
| 654 | (cond | |
| 655 | ((> prec (or (nth 4 op) (min (nth 2 op) (nth 3 op)))) | |
| 656 | (if (and (eq calc-language 'tex) | |
| 657 | (not (math-tex-expr-is-flat a))) | |
| 658 | (if (eq (car-safe a) '/) | |
| 659 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
| 660 | (list 'horiz "\\left( " | |
| 661 | (math-compose-expr a -1) | |
| 662 | " \\right)")) | |
| 663 | (if (eq calc-language 'eqn) | |
| 664 | (if (or (eq (car-safe a) '/) | |
| 665 | (= (/ prec 100) 9)) | |
| 666 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
| 667 | (if (math-tex-expr-is-flat a) | |
| 668 | (list 'horiz "( " (math-compose-expr a -1) " )") | |
| 669 | (list 'horiz "{left ( " | |
| 670 | (math-compose-expr a -1) | |
| 671 | " right )}"))) | |
| 672 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
| 673 | ((and (eq calc-language 'tex) | |
| 674 | (memq (car a) '(/ calcFunc-choose calcFunc-evalto)) | |
| 675 | (>= prec 0)) | |
| 676 | (list 'horiz "{" (math-compose-expr a -1) "}")) | |
| 677 | ((eq (car a) 'calcFunc-if) | |
| 678 | (list 'horiz | |
| 679 | (math-compose-expr (nth 1 a) (nth 2 op)) | |
| 680 | " ? " | |
| 681 | (math-compose-expr (nth 2 a) 0) | |
| 682 | " : " | |
| 683 | (math-compose-expr (nth 3 a) (nth 3 op)))) | |
| 684 | (t | |
| 685 | (let* ((math-comp-tagged (and math-comp-tagged | |
| 686 | (not (math-primp a)) | |
| 687 | math-comp-tagged)) | |
| 688 | (setlev (if (= prec (min (nth 2 op) (nth 3 op))) | |
| 689 | (progn | |
| 690 | (setq math-compose-level | |
| 691 | (1- math-compose-level)) | |
| 692 | nil) | |
| 693 | math-compose-level)) | |
| 694 | (lhs (math-compose-expr (nth 1 a) (nth 2 op))) | |
| 695 | (rhs (math-compose-expr (nth 2 a) (nth 3 op)))) | |
| 696 | (and (equal (car op) "^") | |
| 697 | (eq (math-comp-first-char lhs) ?-) | |
| 698 | (setq lhs (list 'horiz "(" lhs ")"))) | |
| 699 | (and (eq calc-language 'tex) | |
| 700 | (or (equal (car op) "^") (equal (car op) "_")) | |
| 701 | (not (and (stringp rhs) (= (length rhs) 1))) | |
| 702 | (setq rhs (list 'horiz "{" rhs "}"))) | |
| 703 | (or (and (eq (car a) '*) | |
| 704 | (or (null calc-language) | |
| 705 | (assoc "2x" math-expr-opers)) | |
| 706 | (let* ((prevt (math-prod-last-term (nth 1 a))) | |
| 707 | (nextt (math-prod-first-term (nth 2 a))) | |
| 708 | (prevc (or (math-comp-last-char lhs) | |
| 709 | (and (memq (car-safe prevt) | |
| 710 | '(^ calcFunc-subscr | |
| 711 | calcFunc-sqrt | |
| 712 | frac)) | |
| 713 | (eq calc-language 'big) | |
| 714 | ?0))) | |
| 715 | (nextc (or (math-comp-first-char rhs) | |
| 716 | (and (memq (car-safe nextt) | |
| 717 | '(calcFunc-sqrt | |
| 718 | calcFunc-sum | |
| 719 | calcFunc-prod | |
| 720 | calcFunc-integ)) | |
| 721 | (eq calc-language 'big) | |
| 722 | ?0)))) | |
| 723 | (and prevc nextc | |
| 724 | (or (and (>= nextc ?a) (<= nextc ?z)) | |
| 725 | (and (>= nextc ?A) (<= nextc ?Z)) | |
| 726 | (and (>= nextc ?0) (<= nextc ?9)) | |
| 727 | (memq nextc '(?. ?_ ?# | |
| 728 | ?\( ?\[ ?\{)) | |
| 729 | (and (eq nextc ?\\) | |
| 730 | (not (string-match | |
| 731 | "\\`\\\\left(" | |
| 732 | (math-comp-first-string | |
| 733 | rhs))))) | |
| 734 | (not (and (eq (car-safe prevt) 'var) | |
| 735 | (eq nextc ?\())) | |
| 736 | (list 'horiz | |
| 737 | (list 'set setlev 1) | |
| 738 | lhs | |
| 739 | (list 'break math-compose-level) | |
| 740 | " " | |
| 741 | rhs)))) | |
| 742 | (list 'horiz | |
| 743 | (list 'set setlev 1) | |
| 744 | lhs | |
| 745 | (list 'break math-compose-level) | |
| 746 | (if (or (equal (car op) "^") | |
| 747 | (equal (car op) "_") | |
| 748 | (equal (car op) "**") | |
| 749 | (and (equal (car op) "*") | |
| 750 | (math-comp-last-char lhs) | |
| 751 | (math-comp-first-char rhs)) | |
| 752 | (and (equal (car op) "/") | |
| 753 | (math-num-integerp (nth 1 a)) | |
| 754 | (math-integerp (nth 2 a)))) | |
| 755 | (car op) | |
| 756 | (if (and (eq calc-language 'big) | |
| 757 | (equal (car op) "=>")) | |
| 758 | " => " | |
| 759 | (concat " " (car op) " "))) | |
| 760 | rhs)))))) | |
| 761 | ((and op (= (length a) 2) (= (nth 3 op) -1)) | |
| 762 | (cond | |
| 763 | ((or (> prec (or (nth 4 op) (nth 2 op))) | |
| 764 | (and (not (eq (assoc (car op) math-expr-opers) op)) | |
| 765 | (> prec 0))) ; don't write x% + y | |
| 766 | (if (and (eq calc-language 'tex) | |
| 767 | (not (math-tex-expr-is-flat a))) | |
| 768 | (list 'horiz "\\left( " | |
| 769 | (math-compose-expr a -1) | |
| 770 | " \\right)") | |
| 771 | (if (eq calc-language 'eqn) | |
| 772 | (if (= (/ prec 100) 9) | |
| 773 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
| 774 | (if (math-tex-expr-is-flat a) | |
| 775 | (list 'horiz "{( " (math-compose-expr a -1) " )}") | |
| 776 | (list 'horiz "{left ( " | |
| 777 | (math-compose-expr a -1) | |
| 778 | " right )}"))) | |
| 779 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
| 780 | (t | |
| 781 | (let ((lhs (math-compose-expr (nth 1 a) (nth 2 op)))) | |
| 782 | (list 'horiz | |
| 783 | lhs | |
| 784 | (if (or (> (length (car op)) 1) | |
| 785 | (not (math-comp-is-flat lhs))) | |
| 786 | (concat " " (car op)) | |
| 787 | (car op))))))) | |
| 788 | ((and op (= (length a) 2) (= (nth 2 op) -1)) | |
| 789 | (cond | |
| 790 | ((eq (nth 3 op) 0) | |
| 791 | (let ((lr (and (eq calc-language 'tex) | |
| 792 | (not (math-tex-expr-is-flat (nth 1 a)))))) | |
| 793 | (list 'horiz | |
| 794 | (if lr "\\left" "") | |
| 795 | (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" (car op)) | |
| 796 | (substring (car op) 1) | |
| 797 | (car op)) | |
| 798 | (if (or lr (> (length (car op)) 2)) " " "") | |
| 799 | (math-compose-expr (nth 1 a) -1) | |
| 800 | (if (or lr (> (length (car op)) 2)) " " "") | |
| 801 | (if lr "\\right" "") | |
| 802 | (car (nth 1 (memq op math-expr-opers)))))) | |
| 803 | ((> prec (or (nth 4 op) (nth 3 op))) | |
| 804 | (if (and (eq calc-language 'tex) | |
| 805 | (not (math-tex-expr-is-flat a))) | |
| 806 | (list 'horiz "\\left( " | |
| 807 | (math-compose-expr a -1) | |
| 808 | " \\right)") | |
| 809 | (if (eq calc-language 'eqn) | |
| 810 | (if (= (/ prec 100) 9) | |
| 811 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
| 812 | (if (math-tex-expr-is-flat a) | |
| 813 | (list 'horiz "{( " (math-compose-expr a -1) " )}") | |
| 814 | (list 'horiz "{left ( " | |
| 815 | (math-compose-expr a -1) | |
| 816 | " right )}"))) | |
| 817 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
| 818 | (t | |
| 819 | (let ((rhs (math-compose-expr (nth 1 a) (nth 3 op)))) | |
| 820 | (list 'horiz | |
| 821 | (let ((ops (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" | |
| 822 | (car op)) | |
| 823 | (substring (car op) 1) | |
| 824 | (car op)))) | |
| 825 | (if (or (> (length ops) 1) | |
| 826 | (not (math-comp-is-flat rhs))) | |
| 827 | (concat ops " ") | |
| 828 | ops)) | |
| 829 | rhs))))) | |
| 830 | ((and (eq calc-language 'big) | |
| 831 | (setq op (get (car a) 'math-compose-big)) | |
| 832 | (funcall op a prec))) | |
| 833 | ((and (setq op (assq calc-language | |
| 834 | '( ( nil . math-compose-normal ) | |
| 835 | ( flat . math-compose-normal ) | |
| 836 | ( big . math-compose-normal ) | |
| 837 | ( c . math-compose-c ) | |
| 838 | ( pascal . math-compose-pascal ) | |
| 839 | ( fortran . math-compose-fortran ) | |
| 840 | ( tex . math-compose-tex ) | |
| 841 | ( eqn . math-compose-eqn ) | |
| 842 | ( math . math-compose-math ) | |
| 843 | ( maple . math-compose-maple )))) | |
| 844 | (setq op (get (car a) (cdr op))) | |
| 845 | (funcall op a prec))) | |
| 846 | (t | |
| 847 | (let* ((func (car a)) | |
| 848 | (func2 (assq func '(( mod . calcFunc-makemod ) | |
| 849 | ( sdev . calcFunc-sdev ) | |
| 850 | ( + . calcFunc-add ) | |
| 851 | ( - . calcFunc-sub ) | |
| 852 | ( * . calcFunc-mul ) | |
| 853 | ( / . calcFunc-div ) | |
| 854 | ( % . calcFunc-mod ) | |
| 855 | ( ^ . calcFunc-pow ) | |
| 856 | ( neg . calcFunc-neg ) | |
| 857 | ( | . calcFunc-vconcat )))) | |
| 858 | left right args) | |
| 859 | (if func2 | |
| 860 | (setq func (cdr func2))) | |
| 861 | (if (setq func2 (rassq func math-expr-function-mapping)) | |
| 862 | (setq func (car func2))) | |
| 863 | (setq func (math-remove-dashes | |
| 864 | (if (string-match | |
| 865 | "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'" | |
| 866 | (symbol-name func)) | |
| 867 | (math-match-substring (symbol-name func) 1) | |
| 868 | (symbol-name func)))) | |
| 869 | (if (memq calc-language '(c fortran pascal maple)) | |
| 870 | (setq func (math-to-underscores func))) | |
| 871 | (if (and (eq calc-language 'tex) | |
| 872 | calc-language-option | |
| 873 | (not (= calc-language-option 0)) | |
| 874 | (string-match "\\`[a-zA-Z][a-zA-Z0-9]+\\'" func)) | |
| 875 | (if (< (prefix-numeric-value calc-language-option) 0) | |
| 876 | (setq func (format "\\%s" func)) | |
| 877 | (setq func (format "\\hbox{%s}" func)))) | |
| 878 | (if (and (eq calc-language 'eqn) | |
| 879 | (string-match "[^']'+\\'" func)) | |
| 880 | (let ((n (- (length func) (match-beginning 0) 1))) | |
| 881 | (setq func (substring func 0 (- n))) | |
| 882 | (while (>= (setq n (1- n)) 0) | |
| 883 | (setq func (concat func " prime"))))) | |
| 884 | (cond ((and (eq calc-language 'tex) | |
| 885 | (or (> (length a) 2) | |
| 886 | (not (math-tex-expr-is-flat (nth 1 a))))) | |
| 887 | (setq left "\\left( " | |
| 888 | right " \\right)")) | |
| 889 | ((and (eq calc-language 'eqn) | |
| 890 | (or (> (length a) 2) | |
| 891 | (not (math-tex-expr-is-flat (nth 1 a))))) | |
| 892 | (setq left "{left ( " | |
| 893 | right " right )}")) | |
| 894 | ((and (or (and (eq calc-language 'tex) | |
| 895 | (eq (aref func 0) ?\\)) | |
| 896 | (and (eq calc-language 'eqn) | |
| 897 | (memq (car a) math-eqn-special-funcs))) | |
| 898 | (not (string-match "\\hbox{" func)) | |
| 899 | (= (length a) 2) | |
| 900 | (or (Math-realp (nth 1 a)) | |
| 901 | (memq (car (nth 1 a)) '(var *)))) | |
| 902 | (setq left (if (eq calc-language 'eqn) "~{" "{") | |
| 903 | right "}")) | |
| 904 | ((eq calc-language 'eqn) | |
| 905 | (setq left " ( " | |
| 906 | right " )")) | |
| 907 | (t (setq left calc-function-open | |
| 908 | right calc-function-close))) | |
| 909 | (list 'horiz func left | |
| 910 | (math-compose-vector (cdr a) | |
| 911 | (if (eq calc-language 'eqn) | |
| 912 | " , " ", ") | |
| 913 | 0) | |
| bf77c646 | 914 | right))))))))) |
| 136211a9 | 915 | |
| 136211a9 EZ |
916 | |
| 917 | (defun math-prod-first-term (x) | |
| 918 | (while (eq (car-safe x) '*) | |
| 919 | (setq x (nth 1 x))) | |
| bf77c646 | 920 | x) |
| 136211a9 EZ |
921 | |
| 922 | (defun math-prod-last-term (x) | |
| 923 | (while (eq (car-safe x) '*) | |
| 924 | (setq x (nth 2 x))) | |
| bf77c646 | 925 | x) |
| 136211a9 EZ |
926 | |
| 927 | (defun math-compose-vector (a sep prec) | |
| 928 | (if a | |
| 929 | (cons 'horiz | |
| 930 | (cons (list 'set math-compose-level) | |
| 931 | (let ((c (list (math-compose-expr (car a) prec)))) | |
| 932 | (while (setq a (cdr a)) | |
| 933 | (setq c (cons (if (eq (car-safe (car a)) | |
| 934 | 'calcFunc-bstring) | |
| 935 | (let ((math-compose-level | |
| 936 | (1- math-compose-level))) | |
| 937 | (math-compose-expr (car a) -123)) | |
| 938 | (math-compose-expr (car a) prec)) | |
| 939 | (cons (list 'break math-compose-level) | |
| 940 | (cons sep c))))) | |
| 941 | (nreverse c)))) | |
| bf77c646 | 942 | "")) |
| 136211a9 EZ |
943 | |
| 944 | (defun math-vector-no-parens (a) | |
| 945 | (or (cdr (cdr a)) | |
| bf77c646 | 946 | (not (eq (car-safe (nth 1 a)) '*)))) |
| 136211a9 EZ |
947 | |
| 948 | (defun math-compose-matrix (a col cols base) | |
| 949 | (let ((col 0) | |
| 950 | (res nil)) | |
| 951 | (while (<= (setq col (1+ col)) cols) | |
| fdcf8e2b | 952 | (setq res (cons (cons math-comp-just |
| 136211a9 EZ |
953 | (cons base |
| 954 | (mapcar (function | |
| 955 | (lambda (r) | |
| 956 | (list 'horiz | |
| 957 | (math-compose-expr | |
| 958 | (nth col r) | |
| fdcf8e2b | 959 | math-comp-vector-prec) |
| 136211a9 EZ |
960 | (if (= col cols) |
| 961 | "" | |
| fdcf8e2b JB |
962 | (concat |
| 963 | math-comp-comma-spc " "))))) | |
| 136211a9 EZ |
964 | a))) |
| 965 | res))) | |
| bf77c646 | 966 | (nreverse res))) |
| 136211a9 EZ |
967 | |
| 968 | (defun math-compose-rows (a count first) | |
| 969 | (if (cdr a) | |
| 970 | (if (<= count 0) | |
| 971 | (if (< count 0) | |
| 972 | (math-compose-rows (cdr a) -1 nil) | |
| 973 | (cons (concat (if (eq calc-language 'tex) " \\ldots" " ...") | |
| fdcf8e2b | 974 | math-comp-comma) |
| 136211a9 EZ |
975 | (math-compose-rows (cdr a) -1 nil))) |
| 976 | (cons (list 'horiz | |
| fdcf8e2b JB |
977 | (if first (concat math-comp-left-bracket " ") " ") |
| 978 | (math-compose-expr (car a) math-comp-vector-prec) | |
| 979 | math-comp-comma) | |
| 136211a9 EZ |
980 | (math-compose-rows (cdr a) (1- count) nil))) |
| 981 | (list (list 'horiz | |
| fdcf8e2b JB |
982 | (if first (concat math-comp-left-bracket " ") " ") |
| 983 | (math-compose-expr (car a) math-comp-vector-prec) | |
| 984 | (concat " " math-comp-right-bracket))))) | |
| 136211a9 EZ |
985 | |
| 986 | (defun math-compose-tex-matrix (a) | |
| 987 | (if (cdr a) | |
| 988 | (cons (math-compose-vector (cdr (car a)) " & " 0) | |
| 989 | (cons " \\\\ " | |
| 990 | (math-compose-tex-matrix (cdr a)))) | |
| bf77c646 | 991 | (list (math-compose-vector (cdr (car a)) " & " 0)))) |
| 136211a9 EZ |
992 | |
| 993 | (defun math-compose-eqn-matrix (a) | |
| 994 | (if a | |
| 995 | (cons | |
| 996 | (cond ((eq calc-matrix-just 'right) "rcol ") | |
| 997 | ((eq calc-matrix-just 'center) "ccol ") | |
| 998 | (t "lcol ")) | |
| 999 | (cons | |
| 1000 | (list 'break math-compose-level) | |
| 1001 | (cons | |
| 1002 | "{ " | |
| 1003 | (cons | |
| 1004 | (let ((math-compose-level (1+ math-compose-level))) | |
| 1005 | (math-compose-vector (cdr (car a)) " above " 1000)) | |
| 1006 | (cons | |
| 1007 | " } " | |
| 1008 | (math-compose-eqn-matrix (cdr a))))))) | |
| bf77c646 | 1009 | nil)) |
| 136211a9 EZ |
1010 | |
| 1011 | (defun math-vector-is-string (a) | |
| 1012 | (while (and (setq a (cdr a)) | |
| 1013 | (or (and (natnump (car a)) | |
| 1014 | (<= (car a) 255)) | |
| 1015 | (and (eq (car-safe (car a)) 'cplx) | |
| 1016 | (natnump (nth 1 (car a))) | |
| 1017 | (eq (nth 2 (car a)) 0) | |
| 1018 | (<= (nth 1 (car a)) 255))))) | |
| bf77c646 | 1019 | (null a)) |
| 136211a9 | 1020 | |
| 3132f345 CW |
1021 | (defconst math-vector-to-string-chars '( ( ?\" . "\\\"" ) |
| 1022 | ( ?\\ . "\\\\" ) | |
| 1023 | ( ?\a . "\\a" ) | |
| 1024 | ( ?\b . "\\b" ) | |
| 1025 | ( ?\e . "\\e" ) | |
| 1026 | ( ?\f . "\\f" ) | |
| 1027 | ( ?\n . "\\n" ) | |
| 1028 | ( ?\r . "\\r" ) | |
| 1029 | ( ?\t . "\\t" ) | |
| 1030 | ( ?\^? . "\\^?" ))) | |
| 1031 | ||
| 136211a9 EZ |
1032 | (defun math-vector-to-string (a &optional quoted) |
| 1033 | (setq a (concat (mapcar (function (lambda (x) (if (consp x) (nth 1 x) x))) | |
| 1034 | (cdr a)))) | |
| 1035 | (if (string-match "[\000-\037\177\\\"]" a) | |
| 1036 | (let ((p 0) | |
| 1037 | (pat (if quoted "[\000-\037\177\\\"]" "[\000-\037\177]")) | |
| 1038 | (codes (if quoted math-vector-to-string-chars '((?\^? . "^?")))) | |
| 1039 | (fmt (if quoted "\\^%c" "^%c")) | |
| 1040 | new) | |
| 1041 | (while (setq p (string-match pat a p)) | |
| 1042 | (if (setq new (assq (aref a p) codes)) | |
| 1043 | (setq a (concat (substring a 0 p) | |
| 1044 | (cdr new) | |
| 1045 | (substring a (1+ p))) | |
| 1046 | p (+ p (length (cdr new)))) | |
| 1047 | (setq a (concat (substring a 0 p) | |
| 1048 | (format fmt (+ (aref a p) 64)) | |
| 1049 | (substring a (1+ p))) | |
| 1050 | p (+ p 2)))))) | |
| 1051 | (if quoted | |
| 1052 | (concat "\"" a "\"") | |
| bf77c646 | 1053 | a)) |
| 3132f345 | 1054 | |
| 136211a9 EZ |
1055 | |
| 1056 | (defun math-to-underscores (x) | |
| 1057 | (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x) | |
| 1058 | (math-to-underscores | |
| 1059 | (concat (math-match-substring x 1) "_" (math-match-substring x 2))) | |
| bf77c646 | 1060 | x)) |
| 136211a9 EZ |
1061 | |
| 1062 | (defun math-tex-expr-is-flat (a) | |
| 1063 | (or (Math-integerp a) | |
| 1064 | (memq (car a) '(float var)) | |
| 1065 | (and (memq (car a) '(+ - * neg)) | |
| 1066 | (progn | |
| 1067 | (while (and (setq a (cdr a)) | |
| 1068 | (math-tex-expr-is-flat (car a)))) | |
| 1069 | (null a))) | |
| 1070 | (and (memq (car a) '(^ calcFunc-subscr)) | |
| bf77c646 | 1071 | (math-tex-expr-is-flat (nth 1 a))))) |
| 136211a9 EZ |
1072 | |
| 1073 | (put 'calcFunc-log 'math-compose-big 'math-compose-log) | |
| 1074 | (defun math-compose-log (a prec) | |
| 1075 | (and (= (length a) 3) | |
| 1076 | (list 'horiz | |
| 1077 | (list 'subscr "log" | |
| 1078 | (let ((calc-language 'flat)) | |
| 1079 | (math-compose-expr (nth 2 a) 1000))) | |
| 1080 | "(" | |
| 1081 | (math-compose-expr (nth 1 a) 1000) | |
| bf77c646 | 1082 | ")"))) |
| 136211a9 EZ |
1083 | |
| 1084 | (put 'calcFunc-log10 'math-compose-big 'math-compose-log10) | |
| 1085 | (defun math-compose-log10 (a prec) | |
| 1086 | (and (= (length a) 2) | |
| 1087 | (list 'horiz | |
| 1088 | (list 'subscr "log" "10") | |
| 1089 | "(" | |
| 1090 | (math-compose-expr (nth 1 a) 1000) | |
| bf77c646 | 1091 | ")"))) |
| 136211a9 EZ |
1092 | |
| 1093 | (put 'calcFunc-deriv 'math-compose-big 'math-compose-deriv) | |
| 1094 | (put 'calcFunc-tderiv 'math-compose-big 'math-compose-deriv) | |
| 1095 | (defun math-compose-deriv (a prec) | |
| 3132f345 CW |
1096 | (when (= (length a) 3) |
| 1097 | (math-compose-expr (list '/ | |
| 1098 | (list 'calcFunc-choriz | |
| 1099 | (list 'vec | |
| 1100 | '(calcFunc-string (vec ?d)) | |
| 1101 | (nth 1 a))) | |
| 1102 | (list 'calcFunc-choriz | |
| 1103 | (list 'vec | |
| 1104 | '(calcFunc-string (vec ?d)) | |
| 1105 | (nth 2 a)))) | |
| 1106 | prec))) | |
| 136211a9 EZ |
1107 | |
| 1108 | (put 'calcFunc-sqrt 'math-compose-big 'math-compose-sqrt) | |
| 1109 | (defun math-compose-sqrt (a prec) | |
| 3132f345 CW |
1110 | (when (= (length a) 2) |
| 1111 | (let* ((c (math-compose-expr (nth 1 a) 0)) | |
| 1112 | (a (math-comp-ascent c)) | |
| 1113 | (d (math-comp-descent c)) | |
| 1114 | (h (+ a d)) | |
| 1115 | (w (math-comp-width c))) | |
| 1116 | (list 'vleft | |
| 1117 | a | |
| 1118 | (concat (if (= h 1) " " " ") | |
| 1119 | (make-string (+ w 2) ?\_)) | |
| 1120 | (list 'horiz | |
| 1121 | (if (= h 1) | |
| 1122 | "V" | |
| 1123 | (append (list 'vleft (1- a)) | |
| 1124 | (make-list (1- h) " |") | |
| 1125 | '("\\|"))) | |
| 1126 | " " | |
| 1127 | c))))) | |
| 136211a9 EZ |
1128 | |
| 1129 | (put 'calcFunc-choose 'math-compose-big 'math-compose-choose) | |
| 1130 | (defun math-compose-choose (a prec) | |
| 1131 | (let ((a1 (math-compose-expr (nth 1 a) 0)) | |
| 1132 | (a2 (math-compose-expr (nth 2 a) 0))) | |
| 1133 | (list 'horiz | |
| 1134 | "(" | |
| 1135 | (list 'vcent | |
| 1136 | (math-comp-height a1) | |
| 1137 | a1 " " a2) | |
| bf77c646 | 1138 | ")"))) |
| 136211a9 EZ |
1139 | |
| 1140 | (put 'calcFunc-integ 'math-compose-big 'math-compose-integ) | |
| 1141 | (defun math-compose-integ (a prec) | |
| 1142 | (and (memq (length a) '(3 5)) | |
| 1143 | (eq (car-safe (nth 2 a)) 'var) | |
| 1144 | (let* ((parens (and (>= prec 196) (/= prec 1000))) | |
| 1145 | (var (math-compose-expr (nth 2 a) 0)) | |
| 1146 | (over (and (eq (car-safe (nth 2 a)) 'var) | |
| 1147 | (or (and (eq (car-safe (nth 1 a)) '/) | |
| 1148 | (math-numberp (nth 1 (nth 1 a)))) | |
| 1149 | (and (eq (car-safe (nth 1 a)) '^) | |
| 1150 | (math-looks-negp (nth 2 (nth 1 a))))))) | |
| 1151 | (expr (math-compose-expr (if over | |
| 1152 | (math-mul (nth 1 a) | |
| 1153 | (math-build-var-name | |
| 1154 | (format | |
| 1155 | "d%s" | |
| 1156 | (nth 1 (nth 2 a))))) | |
| 1157 | (nth 1 a)) 185)) | |
| 1158 | (calc-language 'flat) | |
| 1159 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
| 1160 | (high (and (nth 4 a) (math-compose-expr (nth 4 a) 0)))) | |
| 1161 | (list 'horiz | |
| 1162 | (if parens "(" "") | |
| 1163 | (append (list 'vcent (if high 3 2)) | |
| 1164 | (and high (list (list 'horiz " " high))) | |
| 1165 | '(" /" | |
| 1166 | " | " | |
| 1167 | " | " | |
| 1168 | " | " | |
| 1169 | "/ ") | |
| 1170 | (and low (list (list 'horiz low " ")))) | |
| 1171 | expr | |
| 1172 | (if over | |
| 1173 | "" | |
| 1174 | (list 'horiz " d" var)) | |
| bf77c646 | 1175 | (if parens ")" ""))))) |
| 136211a9 EZ |
1176 | |
| 1177 | (put 'calcFunc-sum 'math-compose-big 'math-compose-sum) | |
| 1178 | (defun math-compose-sum (a prec) | |
| 1179 | (and (memq (length a) '(3 5 6)) | |
| 1180 | (let* ((expr (math-compose-expr (nth 1 a) 185)) | |
| 1181 | (calc-language 'flat) | |
| 1182 | (var (math-compose-expr (nth 2 a) 0)) | |
| 1183 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
| 1184 | (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0)))) | |
| 1185 | (list 'horiz | |
| 1186 | (if (memq prec '(180 201)) "(" "") | |
| 1187 | (append (list 'vcent (if high 3 2)) | |
| 1188 | (and high (list high)) | |
| 1189 | '("---- " | |
| 1190 | "\\ " | |
| 1191 | " > " | |
| 1192 | "/ " | |
| 1193 | "---- ") | |
| 1194 | (if low | |
| 1195 | (list (list 'horiz var " = " low)) | |
| 1196 | (list var))) | |
| 1197 | (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod)) | |
| 1198 | " " "") | |
| 1199 | expr | |
| bf77c646 | 1200 | (if (memq prec '(180 201)) ")" ""))))) |
| 136211a9 EZ |
1201 | |
| 1202 | (put 'calcFunc-prod 'math-compose-big 'math-compose-prod) | |
| 1203 | (defun math-compose-prod (a prec) | |
| 1204 | (and (memq (length a) '(3 5 6)) | |
| 1205 | (let* ((expr (math-compose-expr (nth 1 a) 198)) | |
| 1206 | (calc-language 'flat) | |
| 1207 | (var (math-compose-expr (nth 2 a) 0)) | |
| 1208 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
| 1209 | (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0)))) | |
| 1210 | (list 'horiz | |
| 1211 | (if (memq prec '(196 201)) "(" "") | |
| 1212 | (append (list 'vcent (if high 3 2)) | |
| 1213 | (and high (list high)) | |
| 1214 | '("----- " | |
| 1215 | " | | " | |
| 1216 | " | | " | |
| 1217 | " | | ") | |
| 1218 | (if low | |
| 1219 | (list (list 'horiz var " = " low)) | |
| 1220 | (list var))) | |
| 1221 | (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod)) | |
| 1222 | " " "") | |
| 1223 | expr | |
| bf77c646 | 1224 | (if (memq prec '(196 201)) ")" ""))))) |
| 136211a9 | 1225 | |
| fdcf8e2b JB |
1226 | ;; The variables math-svo-c, math-svo-wid and math-svo-off are local |
| 1227 | ;; to math-stack-value-offset in calc.el, but are used by | |
| 1228 | ;; math-stack-value-offset-fancy, which is called by math-stack-value-offset.. | |
| 1229 | (defvar math-svo-c) | |
| 1230 | (defvar math-svo-wid) | |
| 1231 | (defvar math-svo-off) | |
| 136211a9 EZ |
1232 | |
| 1233 | (defun math-stack-value-offset-fancy () | |
| fdcf8e2b | 1234 | (let ((cwid (+ (math-comp-width math-svo-c)))) |
| 136211a9 EZ |
1235 | (cond ((eq calc-display-just 'right) |
| 1236 | (if calc-display-origin | |
| fdcf8e2b | 1237 | (setq math-svo-wid (max calc-display-origin 5)) |
| 136211a9 | 1238 | (if (integerp calc-line-breaking) |
| fdcf8e2b JB |
1239 | (setq math-svo-wid calc-line-breaking))) |
| 1240 | (setq math-svo-off (- math-svo-wid cwid | |
| 136211a9 EZ |
1241 | (max (- (length calc-right-label) |
| 1242 | (if (and (integerp calc-line-breaking) | |
| 1243 | calc-display-origin) | |
| 1244 | (max (- calc-line-breaking | |
| 1245 | calc-display-origin) | |
| 1246 | 0) | |
| 1247 | 0)) | |
| 1248 | 0)))) | |
| 1249 | (t | |
| 1250 | (if calc-display-origin | |
| 1251 | (progn | |
| fdcf8e2b | 1252 | (setq math-svo-off (- calc-display-origin (/ cwid 2))) |
| 136211a9 | 1253 | (if (integerp calc-line-breaking) |
| fdcf8e2b | 1254 | (setq math-svo-off (min math-svo-off (- calc-line-breaking cwid |
| 136211a9 | 1255 | (length calc-right-label))))) |
| fdcf8e2b JB |
1256 | (if (>= math-svo-off 0) |
| 1257 | (setq math-svo-wid (max math-svo-wid (+ math-svo-off cwid))))) | |
| 136211a9 | 1258 | (if (integerp calc-line-breaking) |
| fdcf8e2b JB |
1259 | (setq math-svo-wid calc-line-breaking)) |
| 1260 | (setq math-svo-off (/ (- math-svo-wid cwid) 2))))) | |
| 136211a9 | 1261 | (and (integerp calc-line-breaking) |
| fdcf8e2b | 1262 | (or (< math-svo-off 0) |
| 136211a9 EZ |
1263 | (and calc-display-origin |
| 1264 | (> calc-line-breaking calc-display-origin))) | |
| fdcf8e2b | 1265 | (setq math-svo-wid calc-line-breaking)))) |
| 136211a9 EZ |
1266 | |
| 1267 | ||
| 1268 | ;;; Convert a composition to string form, with embedded \n's if necessary. | |
| 1269 | ||
| 1270 | (defun math-composition-to-string (c &optional width) | |
| 1271 | (or width (setq width (calc-window-width))) | |
| 1272 | (if calc-display-raw | |
| 1273 | (math-comp-to-string-raw c 0) | |
| 1274 | (if (math-comp-is-flat c) | |
| 1275 | (math-comp-to-string-flat c width) | |
| 1276 | (math-vert-comp-to-string | |
| bf77c646 | 1277 | (math-comp-simplify c width))))) |
| 136211a9 | 1278 | |
| 3132f345 CW |
1279 | (defvar math-comp-buf-string (make-vector 10 "")) |
| 1280 | (defvar math-comp-buf-margin (make-vector 10 0)) | |
| 1281 | (defvar math-comp-buf-level (make-vector 10 0)) | |
| 136211a9 EZ |
1282 | (defun math-comp-is-flat (c) ; check if c's height is 1. |
| 1283 | (cond ((not (consp c)) t) | |
| 1284 | ((memq (car c) '(set break)) t) | |
| 1285 | ((eq (car c) 'horiz) | |
| 1286 | (while (and (setq c (cdr c)) | |
| 1287 | (math-comp-is-flat (car c)))) | |
| 1288 | (null c)) | |
| 1289 | ((memq (car c) '(vleft vcent vright)) | |
| 1290 | (and (= (length c) 3) | |
| 1291 | (= (nth 1 c) 0) | |
| 1292 | (math-comp-is-flat (nth 2 c)))) | |
| 1293 | ((eq (car c) 'tag) | |
| 1294 | (math-comp-is-flat (nth 2 c))) | |
| bf77c646 | 1295 | (t nil))) |
| 136211a9 EZ |
1296 | |
| 1297 | ||
| 1298 | ;;; Convert a one-line composition to a string. Break into multiple | |
| 1299 | ;;; lines if necessary, choosing break points according to the structure | |
| 1300 | ;;; of the formula. | |
| 1301 | ||
| fdcf8e2b JB |
1302 | ;; The variables math-comp-full-width, math-comp-highlight, math-comp-word, |
| 1303 | ;; math-comp-level, math-comp-margin and math-comp-buf are local to | |
| 1304 | ;; math-comp-to-string-flat, but are used by math-comp-to-string-flat-term, | |
| 1305 | ;; which is called by math-comp-to-string-flat. | |
| 1306 | ;; math-comp-highlight and math-comp-buf are also local to | |
| 1307 | ;; math-comp-simplify-term and math-comp-simplify respectively, but are used | |
| 1308 | ;; by math-comp-add-string. | |
| 1309 | (defvar math-comp-full-width) | |
| 1310 | (defvar math-comp-highlight) | |
| 1311 | (defvar math-comp-word) | |
| 1312 | (defvar math-comp-level) | |
| 1313 | (defvar math-comp-margin) | |
| 1314 | (defvar math-comp-buf) | |
| 1315 | ;; The variable math-comp-pos is local to math-comp-to-string-flat, but | |
| 1316 | ;; is used by math-comp-to-string-flat-term and math-comp-sel-first-term, | |
| 1317 | ;; which are called by math-comp-to-string-flat. | |
| 1318 | (defvar math-comp-pos) | |
| 1319 | ||
| 1320 | (defun math-comp-to-string-flat (c math-comp-full-width) | |
| 136211a9 | 1321 | (if math-comp-sel-hpos |
| fdcf8e2b | 1322 | (let ((math-comp-pos 0)) |
| 136211a9 | 1323 | (math-comp-sel-flat-term c)) |
| fdcf8e2b JB |
1324 | (let ((math-comp-buf "") |
| 1325 | (math-comp-word "") | |
| 1326 | (math-comp-pos 0) | |
| 1327 | (math-comp-margin 0) | |
| 1328 | (math-comp-highlight (and math-comp-selected calc-show-selections)) | |
| 1329 | (math-comp-level -1)) | |
| 136211a9 EZ |
1330 | (math-comp-to-string-flat-term '(set -1 0)) |
| 1331 | (math-comp-to-string-flat-term c) | |
| 1332 | (math-comp-to-string-flat-term '(break -1)) | |
| 1333 | (let ((str (aref math-comp-buf-string 0)) | |
| 1334 | (prefix "")) | |
| 1335 | (and (> (length str) 0) (= (aref str 0) ? ) | |
| fdcf8e2b JB |
1336 | (> (length math-comp-buf) 0) |
| 1337 | (let ((k (length math-comp-buf))) | |
| 1338 | (while (not (= (aref math-comp-buf (setq k (1- k))) ?\n))) | |
| 1339 | (aset math-comp-buf k ? ) | |
| 1340 | (if (and (< (1+ k) (length math-comp-buf)) | |
| 1341 | (= (aref math-comp-buf (1+ k)) ? )) | |
| 136211a9 | 1342 | (progn |
| fdcf8e2b | 1343 | (aset math-comp-buf (1+ k) ?\n) |
| 136211a9 EZ |
1344 | (setq prefix " ")) |
| 1345 | (setq prefix "\n")))) | |
| fdcf8e2b | 1346 | (concat math-comp-buf prefix str))))) |
| 136211a9 EZ |
1347 | |
| 1348 | (defun math-comp-to-string-flat-term (c) | |
| 1349 | (cond ((not (consp c)) | |
| fdcf8e2b | 1350 | (if math-comp-highlight |
| 136211a9 | 1351 | (setq c (math-comp-highlight-string c))) |
| fdcf8e2b JB |
1352 | (setq math-comp-word (if (= (length math-comp-word) 0) c |
| 1353 | (concat math-comp-word c)) | |
| 1354 | math-comp-pos (+ math-comp-pos (length c)))) | |
| 136211a9 EZ |
1355 | |
| 1356 | ((eq (car c) 'horiz) | |
| 1357 | (while (setq c (cdr c)) | |
| 1358 | (math-comp-to-string-flat-term (car c)))) | |
| 1359 | ||
| 1360 | ((eq (car c) 'set) | |
| 1361 | (if (nth 1 c) | |
| 1362 | (progn | |
| fdcf8e2b JB |
1363 | (setq math-comp-level (1+ math-comp-level)) |
| 1364 | (if (>= math-comp-level (length math-comp-buf-string)) | |
| 136211a9 EZ |
1365 | (setq math-comp-buf-string (vconcat math-comp-buf-string |
| 1366 | math-comp-buf-string) | |
| 1367 | math-comp-buf-margin (vconcat math-comp-buf-margin | |
| 1368 | math-comp-buf-margin) | |
| 1369 | math-comp-buf-level (vconcat math-comp-buf-level | |
| 1370 | math-comp-buf-level))) | |
| fdcf8e2b JB |
1371 | (aset math-comp-buf-string math-comp-level "") |
| 1372 | (aset math-comp-buf-margin math-comp-level (+ math-comp-pos | |
| 136211a9 | 1373 | (or (nth 2 c) 0))) |
| fdcf8e2b | 1374 | (aset math-comp-buf-level math-comp-level (nth 1 c))))) |
| 136211a9 EZ |
1375 | |
| 1376 | ((eq (car c) 'break) | |
| 1377 | (if (not calc-line-breaking) | |
| fdcf8e2b JB |
1378 | (setq math-comp-buf (concat math-comp-buf math-comp-word) |
| 1379 | math-comp-word "") | |
| 136211a9 | 1380 | (let ((i 0) str) |
| fdcf8e2b | 1381 | (if (and (> math-comp-pos math-comp-full-width) |
| 136211a9 EZ |
1382 | (progn |
| 1383 | (while (progn | |
| 1384 | (setq str (aref math-comp-buf-string i)) | |
| fdcf8e2b | 1385 | (and (= (length str) 0) (< i math-comp-level))) |
| 136211a9 | 1386 | (setq i (1+ i))) |
| fdcf8e2b | 1387 | (or (> (length str) 0) (> (length math-comp-buf) 0)))) |
| 136211a9 EZ |
1388 | (let ((prefix "") mrg wid) |
| 1389 | (setq mrg (aref math-comp-buf-margin i)) | |
| 1390 | (if (> mrg 12) ; indenting too far, go back to far left | |
| 1391 | (let ((j i) (new (if calc-line-numbering 5 1))) | |
| fdcf8e2b | 1392 | '(while (<= j math-comp-level) |
| 136211a9 EZ |
1393 | (aset math-comp-buf-margin j |
| 1394 | (+ (aref math-comp-buf-margin j) (- new mrg))) | |
| 1395 | (setq j (1+ j))) | |
| 1396 | (setq mrg new))) | |
| fdcf8e2b | 1397 | (setq wid (+ (length str) math-comp-margin)) |
| 136211a9 | 1398 | (and (> (length str) 0) (= (aref str 0) ? ) |
| fdcf8e2b JB |
1399 | (> (length math-comp-buf) 0) |
| 1400 | (let ((k (length math-comp-buf))) | |
| 1401 | (while (not (= (aref math-comp-buf (setq k (1- k))) ?\n))) | |
| 1402 | (aset math-comp-buf k ? ) | |
| 1403 | (if (and (< (1+ k) (length math-comp-buf)) | |
| 1404 | (= (aref math-comp-buf (1+ k)) ? )) | |
| 136211a9 | 1405 | (progn |
| fdcf8e2b | 1406 | (aset math-comp-buf (1+ k) ?\n) |
| 136211a9 EZ |
1407 | (setq prefix " ")) |
| 1408 | (setq prefix "\n")))) | |
| fdcf8e2b | 1409 | (setq math-comp-buf (concat math-comp-buf prefix str "\n" |
| 136211a9 | 1410 | (make-string mrg ? )) |
| fdcf8e2b JB |
1411 | math-comp-pos (+ math-comp-pos (- mrg wid)) |
| 1412 | math-comp-margin mrg) | |
| 136211a9 | 1413 | (aset math-comp-buf-string i "") |
| fdcf8e2b | 1414 | (while (<= (setq i (1+ i)) math-comp-level) |
| 136211a9 EZ |
1415 | (if (> (aref math-comp-buf-margin i) wid) |
| 1416 | (aset math-comp-buf-margin i | |
| 1417 | (+ (aref math-comp-buf-margin i) | |
| 1418 | (- mrg wid)))))))) | |
| fdcf8e2b JB |
1419 | (if (and (= (nth 1 c) (aref math-comp-buf-level math-comp-level)) |
| 1420 | (< math-comp-pos (+ (aref math-comp-buf-margin math-comp-level) 2))) | |
| 136211a9 | 1421 | () ; avoid stupid breaks, e.g., "1 +\n really_long_expr" |
| fdcf8e2b | 1422 | (let ((str (aref math-comp-buf-string math-comp-level))) |
| 136211a9 | 1423 | (setq str (if (= (length str) 0) |
| fdcf8e2b JB |
1424 | math-comp-word |
| 1425 | (concat str math-comp-word)) | |
| 1426 | math-comp-word "") | |
| 1427 | (while (< (nth 1 c) (aref math-comp-buf-level math-comp-level)) | |
| 1428 | (setq math-comp-level (1- math-comp-level)) | |
| 1429 | (or (= (length (aref math-comp-buf-string math-comp-level)) 0) | |
| 1430 | (setq str (concat (aref math-comp-buf-string math-comp-level) | |
| 136211a9 | 1431 | str)))) |
| fdcf8e2b | 1432 | (aset math-comp-buf-string math-comp-level str))))) |
| 136211a9 EZ |
1433 | |
| 1434 | ((eq (car c) 'tag) | |
| 1435 | (cond ((eq (nth 1 c) math-comp-selected) | |
| fdcf8e2b | 1436 | (let ((math-comp-highlight (not calc-show-selections))) |
| 136211a9 EZ |
1437 | (math-comp-to-string-flat-term (nth 2 c)))) |
| 1438 | ((eq (nth 1 c) t) | |
| fdcf8e2b | 1439 | (let ((math-comp-highlight nil)) |
| 136211a9 EZ |
1440 | (math-comp-to-string-flat-term (nth 2 c)))) |
| 1441 | (t (math-comp-to-string-flat-term (nth 2 c))))) | |
| 1442 | ||
| bf77c646 | 1443 | (t (math-comp-to-string-flat-term (nth 2 c))))) |
| 136211a9 EZ |
1444 | |
| 1445 | (defun math-comp-highlight-string (s) | |
| 1446 | (setq s (copy-sequence s)) | |
| 1447 | (let ((i (length s))) | |
| 1448 | (while (>= (setq i (1- i)) 0) | |
| 1449 | (or (memq (aref s i) '(32 ?\n)) | |
| 1450 | (aset s i (if calc-show-selections ?\. ?\#))))) | |
| bf77c646 | 1451 | s) |
| 136211a9 | 1452 | |
| fdcf8e2b JB |
1453 | |
| 1454 | ;; The variable math-comp-sel-tag is local to calc-find-selected-part | |
| 1455 | ;; in calc-sel.el, but is used by math-comp-sel-flat-term and | |
| 1456 | ;; math-comp-add-string-sel, which are called (indirectly) by | |
| 1457 | ;; calc-find-selected-part. | |
| 1458 | (defvar math-comp-sel-tag) | |
| 1459 | ||
| 136211a9 EZ |
1460 | (defun math-comp-sel-flat-term (c) |
| 1461 | (cond ((not (consp c)) | |
| fdcf8e2b | 1462 | (setq math-comp-pos (+ math-comp-pos (length c)))) |
| 136211a9 EZ |
1463 | ((memq (car c) '(set break))) |
| 1464 | ((eq (car c) 'horiz) | |
| 1465 | (while (and (setq c (cdr c)) (< math-comp-sel-cpos 1000000)) | |
| 1466 | (math-comp-sel-flat-term (car c)))) | |
| 1467 | ((eq (car c) 'tag) | |
| fdcf8e2b | 1468 | (if (<= math-comp-pos math-comp-sel-cpos) |
| 136211a9 EZ |
1469 | (progn |
| 1470 | (math-comp-sel-flat-term (nth 2 c)) | |
| fdcf8e2b | 1471 | (if (> math-comp-pos math-comp-sel-cpos) |
| 136211a9 EZ |
1472 | (setq math-comp-sel-tag c |
| 1473 | math-comp-sel-cpos 1000000))) | |
| 1474 | (math-comp-sel-flat-term (nth 2 c)))) | |
| bf77c646 | 1475 | (t (math-comp-sel-flat-term (nth 2 c))))) |
| 136211a9 EZ |
1476 | |
| 1477 | ||
| 1478 | ;;; Simplify a composition to a canonical form consisting of | |
| 1479 | ;;; (vleft n "string" "string" "string" ...) | |
| 1480 | ;;; where 0 <= n < number-of-strings. | |
| 1481 | ||
| fdcf8e2b JB |
1482 | ;; The variables math-comp-base, math-comp-hgt, math-comp-tag, |
| 1483 | ;; math-comp-hpos and math-comp-vpos are local to math-comp-simplify, | |
| 1484 | ;; but are used by math-comp-add-string (math-comp-base, math-comp-hgt), | |
| 1485 | ;; math-comp-add-string-sel (math-comp-tag) and math-comp-simplify-term | |
| 1486 | ;; (math-comp-tag, math-comp-vpos, math-comp-hpos), which are called by | |
| 1487 | ;; math-comp-simplify. | |
| 1488 | (defvar math-comp-base) | |
| 1489 | (defvar math-comp-hgt) | |
| 1490 | (defvar math-comp-tag) | |
| 1491 | (defvar math-comp-hpos) | |
| 1492 | (defvar math-comp-vpos) | |
| 1493 | ||
| 136211a9 | 1494 | (defun math-comp-simplify (c full-width) |
| fdcf8e2b JB |
1495 | (let ((math-comp-buf (list "")) |
| 1496 | (math-comp-base 0) | |
| 1497 | (math-comp-hgt 1) | |
| 1498 | (math-comp-hpos 0) | |
| 1499 | (math-comp-vpos 0) | |
| 1500 | (math-comp-highlight (and math-comp-selected calc-show-selections)) | |
| 1501 | (math-comp-tag nil)) | |
| 136211a9 | 1502 | (math-comp-simplify-term c) |
| fdcf8e2b | 1503 | (cons 'vleft (cons math-comp-base math-comp-buf)))) |
| 136211a9 EZ |
1504 | |
| 1505 | (defun math-comp-add-string (s h v) | |
| 1506 | (and (> (length s) 0) | |
| fdcf8e2b | 1507 | (let ((vv (+ v math-comp-base))) |
| 136211a9 EZ |
1508 | (if math-comp-sel-hpos |
| 1509 | (math-comp-add-string-sel h vv (length s) 1) | |
| 1510 | (if (< vv 0) | |
| fdcf8e2b JB |
1511 | (setq math-comp-buf (nconc (make-list (- vv) "") math-comp-buf) |
| 1512 | math-comp-base (- v) | |
| 1513 | math-comp-hgt (- math-comp-hgt vv) | |
| 136211a9 | 1514 | vv 0) |
| fdcf8e2b JB |
1515 | (if (>= vv math-comp-hgt) |
| 1516 | (setq math-comp-buf (nconc math-comp-buf | |
| 1517 | (make-list (1+ (- vv math-comp-hgt)) "")) | |
| 1518 | math-comp-hgt (1+ vv)))) | |
| 1519 | (let ((str (nthcdr vv math-comp-buf))) | |
| 136211a9 EZ |
1520 | (setcar str (concat (car str) |
| 1521 | (make-string (- h (length (car str))) 32) | |
| fdcf8e2b | 1522 | (if math-comp-highlight |
| 136211a9 | 1523 | (math-comp-highlight-string s) |
| bf77c646 | 1524 | s)))))))) |
| 136211a9 EZ |
1525 | |
| 1526 | (defun math-comp-add-string-sel (x y w h) | |
| 1527 | (if (and (<= y math-comp-sel-vpos) | |
| 1528 | (> (+ y h) math-comp-sel-vpos) | |
| 1529 | (<= x math-comp-sel-hpos) | |
| 1530 | (> (+ x w) math-comp-sel-hpos)) | |
| fdcf8e2b | 1531 | (setq math-comp-sel-tag math-comp-tag |
| bf77c646 | 1532 | math-comp-sel-vpos 10000))) |
| 136211a9 EZ |
1533 | |
| 1534 | (defun math-comp-simplify-term (c) | |
| 1535 | (cond ((stringp c) | |
| fdcf8e2b JB |
1536 | (math-comp-add-string c math-comp-hpos math-comp-vpos) |
| 1537 | (setq math-comp-hpos (+ math-comp-hpos (length c)))) | |
| 136211a9 EZ |
1538 | ((memq (car c) '(set break)) |
| 1539 | nil) | |
| 1540 | ((eq (car c) 'horiz) | |
| 1541 | (while (setq c (cdr c)) | |
| 1542 | (math-comp-simplify-term (car c)))) | |
| 1543 | ((memq (car c) '(vleft vcent vright)) | |
| fdcf8e2b | 1544 | (let* ((math-comp-vpos (+ (- math-comp-vpos (nth 1 c)) |
| 136211a9 EZ |
1545 | (1- (math-comp-ascent (nth 2 c))))) |
| 1546 | (widths (mapcar 'math-comp-width (cdr (cdr c)))) | |
| 1547 | (maxwid (apply 'max widths)) | |
| 1548 | (bias (cond ((eq (car c) 'vleft) 0) | |
| 1549 | ((eq (car c) 'vcent) 1) | |
| 1550 | (t 2)))) | |
| 1551 | (setq c (cdr c)) | |
| 1552 | (while (setq c (cdr c)) | |
| 1553 | (if (eq (car-safe (car c)) 'rule) | |
| 1554 | (math-comp-add-string (make-string maxwid (nth 1 (car c))) | |
| fdcf8e2b JB |
1555 | math-comp-hpos math-comp-vpos) |
| 1556 | (let ((math-comp-hpos (+ math-comp-hpos (/ (* bias (- maxwid | |
| 136211a9 EZ |
1557 | (car widths))) |
| 1558 | 2)))) | |
| 1559 | (math-comp-simplify-term (car c)))) | |
| 1560 | (and (cdr c) | |
| fdcf8e2b | 1561 | (setq math-comp-vpos (+ math-comp-vpos |
| 136211a9 EZ |
1562 | (+ (math-comp-descent (car c)) |
| 1563 | (math-comp-ascent (nth 1 c)))) | |
| 1564 | widths (cdr widths)))) | |
| fdcf8e2b | 1565 | (setq math-comp-hpos (+ math-comp-hpos maxwid)))) |
| 136211a9 EZ |
1566 | ((eq (car c) 'supscr) |
| 1567 | (let* ((asc (or 1 (math-comp-ascent (nth 1 c)))) | |
| 1568 | (desc (math-comp-descent (nth 2 c))) | |
| 1569 | (oldh (prog1 | |
| fdcf8e2b | 1570 | math-comp-hpos |
| 136211a9 | 1571 | (math-comp-simplify-term (nth 1 c)))) |
| fdcf8e2b | 1572 | (math-comp-vpos (- math-comp-vpos (+ asc desc)))) |
| 136211a9 EZ |
1573 | (math-comp-simplify-term (nth 2 c)) |
| 1574 | (if math-comp-sel-hpos | |
| 1575 | (math-comp-add-string-sel oldh | |
| fdcf8e2b | 1576 | (- math-comp-vpos |
| 136211a9 EZ |
1577 | -1 |
| 1578 | (math-comp-ascent (nth 2 c))) | |
| fdcf8e2b | 1579 | (- math-comp-hpos oldh) |
| 136211a9 EZ |
1580 | (math-comp-height c))))) |
| 1581 | ((eq (car c) 'subscr) | |
| 1582 | (let* ((asc (math-comp-ascent (nth 2 c))) | |
| 1583 | (desc (math-comp-descent (nth 1 c))) | |
| fdcf8e2b | 1584 | (oldv math-comp-vpos) |
| 136211a9 | 1585 | (oldh (prog1 |
| fdcf8e2b | 1586 | math-comp-hpos |
| 136211a9 | 1587 | (math-comp-simplify-term (nth 1 c)))) |
| fdcf8e2b | 1588 | (math-comp-vpos (+ math-comp-vpos (+ asc desc)))) |
| 136211a9 EZ |
1589 | (math-comp-simplify-term (nth 2 c)) |
| 1590 | (if math-comp-sel-hpos | |
| 1591 | (math-comp-add-string-sel oldh oldv | |
| fdcf8e2b | 1592 | (- math-comp-hpos oldh) |
| 136211a9 EZ |
1593 | (math-comp-height c))))) |
| 1594 | ((eq (car c) 'tag) | |
| 1595 | (cond ((eq (nth 1 c) math-comp-selected) | |
| fdcf8e2b | 1596 | (let ((math-comp-highlight (not calc-show-selections))) |
| 136211a9 EZ |
1597 | (math-comp-simplify-term (nth 2 c)))) |
| 1598 | ((eq (nth 1 c) t) | |
| fdcf8e2b | 1599 | (let ((math-comp-highlight nil)) |
| 136211a9 | 1600 | (math-comp-simplify-term (nth 2 c)))) |
| fdcf8e2b | 1601 | (t (let ((math-comp-tag c)) |
| bf77c646 | 1602 | (math-comp-simplify-term (nth 2 c)))))))) |
| 136211a9 EZ |
1603 | |
| 1604 | ||
| 1605 | ;;; Measuring a composition. | |
| 1606 | ||
| 1607 | (defun math-comp-first-char (c) | |
| 1608 | (cond ((stringp c) | |
| 1609 | (and (> (length c) 0) | |
| 1610 | (elt c 0))) | |
| 1611 | ((memq (car c) '(horiz subscr supscr)) | |
| 1612 | (while (and (setq c (cdr c)) | |
| 1613 | (math-comp-is-null (car c)))) | |
| 1614 | (and c (math-comp-first-char (car c)))) | |
| 1615 | ((eq (car c) 'tag) | |
| bf77c646 | 1616 | (math-comp-first-char (nth 2 c))))) |
| 136211a9 EZ |
1617 | |
| 1618 | (defun math-comp-first-string (c) | |
| 1619 | (cond ((stringp c) | |
| 1620 | (and (> (length c) 0) | |
| 1621 | c)) | |
| 1622 | ((eq (car c) 'horiz) | |
| 1623 | (while (and (setq c (cdr c)) | |
| 1624 | (math-comp-is-null (car c)))) | |
| 1625 | (and c (math-comp-first-string (car c)))) | |
| 1626 | ((eq (car c) 'tag) | |
| bf77c646 | 1627 | (math-comp-first-string (nth 2 c))))) |
| 136211a9 EZ |
1628 | |
| 1629 | (defun math-comp-last-char (c) | |
| 1630 | (cond ((stringp c) | |
| 1631 | (and (> (length c) 0) | |
| 1632 | (elt c (1- (length c))))) | |
| 1633 | ((eq (car c) 'horiz) | |
| 1634 | (let ((c (reverse (cdr c)))) | |
| 1635 | (while (and c (math-comp-is-null (car c))) | |
| 1636 | (setq c (cdr c))) | |
| 1637 | (and c (math-comp-last-char (car c))))) | |
| 1638 | ((eq (car c) 'tag) | |
| bf77c646 | 1639 | (math-comp-last-char (nth 2 c))))) |
| 136211a9 EZ |
1640 | |
| 1641 | (defun math-comp-is-null (c) | |
| 1642 | (cond ((stringp c) (= (length c) 0)) | |
| 1643 | ((memq (car c) '(horiz subscr supscr)) | |
| 1644 | (while (and (setq c (cdr c)) | |
| 1645 | (math-comp-is-null (car c)))) | |
| 1646 | (null c)) | |
| 1647 | ((eq (car c) 'tag) | |
| 1648 | (math-comp-is-null (nth 2 c))) | |
| bf77c646 | 1649 | ((memq (car c) '(set break)) t))) |
| 136211a9 EZ |
1650 | |
| 1651 | (defun math-comp-width (c) | |
| 1652 | (cond ((not (consp c)) (length c)) | |
| 1653 | ((memq (car c) '(horiz subscr supscr)) | |
| 1654 | (let ((accum 0)) | |
| 1655 | (while (setq c (cdr c)) | |
| 1656 | (setq accum (+ accum (math-comp-width (car c))))) | |
| 1657 | accum)) | |
| 1658 | ((memq (car c) '(vcent vleft vright)) | |
| 1659 | (setq c (cdr c)) | |
| 1660 | (let ((accum 0)) | |
| 1661 | (while (setq c (cdr c)) | |
| 1662 | (setq accum (max accum (math-comp-width (car c))))) | |
| 1663 | accum)) | |
| 1664 | ((eq (car c) 'tag) | |
| 1665 | (math-comp-width (nth 2 c))) | |
| bf77c646 | 1666 | (t 0))) |
| 136211a9 EZ |
1667 | |
| 1668 | (defun math-comp-height (c) | |
| 1669 | (if (stringp c) | |
| 1670 | 1 | |
| bf77c646 | 1671 | (+ (math-comp-ascent c) (math-comp-descent c)))) |
| 136211a9 EZ |
1672 | |
| 1673 | (defun math-comp-ascent (c) | |
| 1674 | (cond ((not (consp c)) 1) | |
| 1675 | ((eq (car c) 'horiz) | |
| 1676 | (let ((accum 0)) | |
| 1677 | (while (setq c (cdr c)) | |
| 1678 | (setq accum (max accum (math-comp-ascent (car c))))) | |
| 1679 | accum)) | |
| 1680 | ((memq (car c) '(vcent vleft vright)) | |
| 1681 | (if (> (nth 1 c) 0) (1+ (nth 1 c)) 1)) | |
| 1682 | ((eq (car c) 'supscr) | |
| 1683 | (max (math-comp-ascent (nth 1 c)) (1+ (math-comp-height (nth 2 c))))) | |
| 1684 | ((eq (car c) 'subscr) | |
| 1685 | (math-comp-ascent (nth 1 c))) | |
| 1686 | ((eq (car c) 'tag) | |
| 1687 | (math-comp-ascent (nth 2 c))) | |
| bf77c646 | 1688 | (t 1))) |
| 136211a9 EZ |
1689 | |
| 1690 | (defun math-comp-descent (c) | |
| 1691 | (cond ((not (consp c)) 0) | |
| 1692 | ((eq (car c) 'horiz) | |
| 1693 | (let ((accum 0)) | |
| 1694 | (while (setq c (cdr c)) | |
| 1695 | (setq accum (max accum (math-comp-descent (car c))))) | |
| 1696 | accum)) | |
| 1697 | ((memq (car c) '(vcent vleft vright)) | |
| 1698 | (let ((accum (- (nth 1 c)))) | |
| 1699 | (setq c (cdr c)) | |
| 1700 | (while (setq c (cdr c)) | |
| 1701 | (setq accum (+ accum (math-comp-height (car c))))) | |
| 1702 | (max (1- accum) 0))) | |
| 1703 | ((eq (car c) 'supscr) | |
| 1704 | (math-comp-descent (nth 1 c))) | |
| 1705 | ((eq (car c) 'subscr) | |
| 1706 | (+ (math-comp-descent (nth 1 c)) (math-comp-height (nth 2 c)))) | |
| 1707 | ((eq (car c) 'tag) | |
| 1708 | (math-comp-descent (nth 2 c))) | |
| bf77c646 | 1709 | (t 0))) |
| 136211a9 EZ |
1710 | |
| 1711 | (defun calcFunc-cwidth (a &optional prec) | |
| 1712 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
| bf77c646 | 1713 | (math-comp-width (math-compose-expr a (or prec 0)))) |
| 136211a9 EZ |
1714 | |
| 1715 | (defun calcFunc-cheight (a &optional prec) | |
| 1716 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
| 1717 | (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
| 1718 | (memq (length a) '(2 3)) | |
| 1719 | (eq (nth 1 a) 0)) | |
| 1720 | 0 | |
| bf77c646 | 1721 | (math-comp-height (math-compose-expr a (or prec 0))))) |
| 136211a9 EZ |
1722 | |
| 1723 | (defun calcFunc-cascent (a &optional prec) | |
| 1724 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
| 1725 | (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
| 1726 | (memq (length a) '(2 3)) | |
| 1727 | (eq (nth 1 a) 0)) | |
| 1728 | 0 | |
| bf77c646 | 1729 | (math-comp-ascent (math-compose-expr a (or prec 0))))) |
| 136211a9 EZ |
1730 | |
| 1731 | (defun calcFunc-cdescent (a &optional prec) | |
| 1732 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
| bf77c646 | 1733 | (math-comp-descent (math-compose-expr a (or prec 0)))) |
| 136211a9 EZ |
1734 | |
| 1735 | ||
| 1736 | ;;; Convert a simplified composition into string form. | |
| 1737 | ||
| 1738 | (defun math-vert-comp-to-string (c) | |
| 1739 | (if (stringp c) | |
| 1740 | c | |
| bf77c646 | 1741 | (math-vert-comp-to-string-step (cdr (cdr c))))) |
| 136211a9 EZ |
1742 | |
| 1743 | (defun math-vert-comp-to-string-step (c) | |
| 1744 | (if (cdr c) | |
| 1745 | (concat (car c) "\n" (math-vert-comp-to-string-step (cdr c))) | |
| bf77c646 | 1746 | (car c))) |
| 136211a9 EZ |
1747 | |
| 1748 | ||
| 1749 | ;;; Convert a composition to a string in "raw" form (for debugging). | |
| 1750 | ||
| 1751 | (defun math-comp-to-string-raw (c indent) | |
| 1752 | (cond ((or (not (consp c)) (eq (car c) 'set)) | |
| 1753 | (prin1-to-string c)) | |
| 1754 | ((null (cdr c)) | |
| 1755 | (concat "(" (symbol-name (car c)) ")")) | |
| 1756 | (t | |
| 1757 | (let ((next-indent (+ indent 2 (length (symbol-name (car c)))))) | |
| 1758 | (concat "(" | |
| 1759 | (symbol-name (car c)) | |
| 1760 | " " | |
| 1761 | (math-comp-to-string-raw (nth 1 c) next-indent) | |
| 1762 | (math-comp-to-string-raw-step (cdr (cdr c)) | |
| 1763 | next-indent) | |
| bf77c646 | 1764 | ")"))))) |
| 136211a9 EZ |
1765 | |
| 1766 | (defun math-comp-to-string-raw-step (cl indent) | |
| 1767 | (if cl | |
| 1768 | (concat "\n" | |
| 1769 | (make-string indent 32) | |
| 1770 | (math-comp-to-string-raw (car cl) indent) | |
| 1771 | (math-comp-to-string-raw-step (cdr cl) indent)) | |
| bf77c646 | 1772 | "")) |
| 136211a9 | 1773 | |
| ab5796a9 | 1774 | ;;; arch-tag: 7c45d10a-a286-4dab-af49-7ae8989fbf78 |
| bf77c646 | 1775 | ;;; calccomp.el ends here |