* font.c (font_parse_fcname): Allow . for sizes like 7.5 (bug#6437).
[bpt/emacs.git] / lisp / calc / calccomp.el
CommitLineData
3132f345
CW
1;;; calccomp.el --- composition functions for Calc
2
58ba2f8f 3;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
114f9c96 4;; 2005, 2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc.
3132f345
CW
5
6;; Author: David Gillespie <daveg@synaptics.com>
e8fff8ed 7;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
136211a9
EZ
8
9;; This file is part of GNU Emacs.
10
662c9c64 11;; GNU Emacs is free software: you can redistribute it and/or modify
7c671b23 12;; it under the terms of the GNU General Public License as published by
662c9c64
GM
13;; the Free Software Foundation, either version 3 of the License, or
14;; (at your option) any later version.
7c671b23 15
136211a9 16;; GNU Emacs is distributed in the hope that it will be useful,
7c671b23
GM
17;; but WITHOUT ANY WARRANTY; without even the implied warranty of
18;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
19;; GNU General Public License for more details.
20
21;; You should have received a copy of the GNU General Public License
662c9c64 22;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
136211a9 23
3132f345 24;;; Commentary:
136211a9 25
3132f345 26;;; Code:
136211a9
EZ
27
28;; This file is autoloaded from calc-ext.el.
136211a9 29
cfd31ee4 30(require 'calc-ext)
136211a9
EZ
31(require 'calc-macs)
32
136211a9
EZ
33;;; A "composition" has one of the following forms:
34;;;
35;;; "string" A literal string
36;;;
37;;; (horiz C1 C2 ...) Horizontally abutted sub-compositions
38;;;
39;;; (set LEVEL OFF) Set left margin + offset for line-break level
40;;; (break LEVEL) A potential line-break point
41;;;
42;;; (vleft N C1 C2 ...) Vertically stacked, left-justified sub-comps
43;;; (vcent N C1 C2 ...) Vertically stacked, centered sub-comps
44;;; (vright N C1 C2 ...) Vertically stacked, right-justified sub-comps
45;;; N specifies baseline of the stack, 0=top line.
46;;;
47;;; (supscr C1 C2) Composition C1 with superscript C2
48;;; (subscr C1 C2) Composition C1 with subscript C2
49;;; (rule X) Horizontal line of X, full width of enclosing comp
50;;;
51;;; (tag X C) Composition C corresponds to sub-expression X
52
fdcf8e2b
JB
53;; math-comp-just and math-comp-comma-spc are local to
54;; math-compose-expr, but are used by math-compose-matrix, which is
55;; called by math-compose-expr
56(defvar math-comp-just)
57(defvar math-comp-comma-spc)
58
59;; math-comp-vector-prec is local to math-compose-expr, but is used by
60;; math-compose-matrix and math-compose-rows, which are called by
61;; math-compose-expr.
62(defvar math-comp-vector-prec)
63
64;; math-comp-left-bracket, math-comp-right-bracket and math-comp-comma are
65;; local to math-compose-expr, but are used by math-compose-rows, which is
66;; called by math-compose-expr.
67(defvar math-comp-left-bracket)
68(defvar math-comp-right-bracket)
69(defvar math-comp-comma)
70
2b8a3002 71(defun math-compose-var (a)
28d88201 72 (let (v sn)
2b8a3002
JB
73 (if (and math-compose-hash-args
74 (let ((p calc-arg-values))
75 (setq v 1)
76 (while (and p (not (equal (car p) a)))
77 (setq p (and (eq math-compose-hash-args t) (cdr p))
78 v (1+ v)))
79 p))
80 (if (eq math-compose-hash-args 1)
81 "#"
82 (format "#%d" v))
28d88201
JB
83 (setq sn (symbol-name (nth 1 a)))
84 (if (memq calc-language calc-lang-allow-percentsigns)
85 (setq sn (math-to-percentsigns sn)))
2b8a3002 86 (if (memq calc-language calc-lang-allow-underscores)
28d88201
JB
87 (setq sn (math-to-underscores sn)))
88 sn)))
fdcf8e2b 89
136211a9 90(defun math-compose-expr (a prec)
ddaad609 91 (let ((math-compose-level (1+ math-compose-level))
b20c4725 92 (math-expr-opers (math-expr-ops))
ddaad609 93 spfn)
136211a9
EZ
94 (cond
95 ((or (and (eq a math-comp-selected) a)
96 (and math-comp-tagged
97 (not (eq math-comp-tagged a))))
98 (let ((math-comp-selected nil))
99 (and math-comp-tagged (setq math-comp-tagged a))
100 (list 'tag a (math-compose-expr a prec))))
101 ((and (not (consp a)) (not (integerp a)))
102 (concat "'" (prin1-to-string a)))
018f0ad2
JB
103 ((setq spfn (assq (car-safe a)
104 (get calc-language 'math-special-function-table)))
ddaad609 105 (setq spfn (cdr spfn))
018f0ad2
JB
106 (if (consp spfn)
107 (funcall (car spfn) a spfn)
108 (funcall spfn a)))
136211a9
EZ
109 ((math-scalarp a)
110 (if (or (eq (car-safe a) 'frac)
111 (and (nth 1 calc-frac-format) (Math-integerp a)))
018f0ad2
JB
112 (if (and
113 calc-language
114 (not (memq calc-language
115 '(flat big unform))))
136211a9
EZ
116 (let ((aa (math-adjust-fraction a))
117 (calc-frac-format nil))
118 (math-compose-expr (list '/
018f0ad2
JB
119 (if (memq calc-language
120 calc-lang-slash-idiv)
136211a9
EZ
121 (math-float (nth 1 aa))
122 (nth 1 aa))
123 (nth 2 aa)) prec))
124 (if (and (eq calc-language 'big)
125 (= (length (car calc-frac-format)) 1))
126 (let* ((aa (math-adjust-fraction a))
127 (calc-frac-format nil)
128 (math-radix-explicit-format nil)
129 (c (list 'horiz
130 (if (math-negp (nth 1 aa))
131 "- " "")
132 (list 'vcent 1
133 (math-format-number
134 (math-abs (nth 1 aa)))
135 '(rule ?-)
136 (math-format-number (nth 2 aa))))))
137 (if (= calc-number-radix 10)
138 c
139 (list 'horiz "(" c
140 (list 'subscr ")"
141 (int-to-string calc-number-radix)))))
142 (math-format-number a)))
143 (if (not (eq calc-language 'big))
144 (math-format-number a prec)
145 (if (memq (car-safe a) '(cplx polar))
146 (if (math-zerop (nth 2 a))
147 (math-compose-expr (nth 1 a) prec)
148 (list 'horiz "("
149 (math-compose-expr (nth 1 a) 0)
150 (if (eq (car a) 'cplx) ", " "; ")
151 (math-compose-expr (nth 2 a) 0) ")"))
152 (if (or (= calc-number-radix 10)
153 (not (Math-realp a))
154 (and calc-group-digits
155 (not (assoc calc-group-char '((",") (" "))))))
156 (math-format-number a prec)
157 (let ((s (math-format-number a prec))
158 (c nil))
159 (while (string-match (if (> calc-number-radix 14)
160 "\\([0-9]+\\)#\\([0-9a-zA-Z., ]+\\)"
161 "\\([0-9]+\\)#\\([0-9a-dA-D., ]+\\)")
162 s)
163 (setq c (nconc c (list (substring s 0 (match-beginning 0))
164 (list 'subscr
165 (math-match-substring s 2)
166 (math-match-substring s 1))))
167 s (substring s (match-end 0))))
168 (if (string-match
169 "\\*\\([0-9.]+\\)\\^\\(-?[0-9]+\\)\\()?\\)\\'" s)
170 (setq s (list 'horiz
171 (substring s 0 (match-beginning 0)) " "
172 (list 'supscr
173 (math-match-substring s 1)
174 (math-match-substring s 2))
175 (math-match-substring s 3))))
176 (if c (cons 'horiz (nconc c (list s))) s)))))))
177 ((and (get (car a) 'math-compose-forms)
178 (not (eq calc-language 'unform))
179 (let ((comps (get (car a) 'math-compose-forms))
180 temp temp2)
181 (or (and (setq temp (assq calc-language comps))
182 (or (and (setq temp2 (assq (1- (length a)) (cdr temp)))
183 (setq temp (apply (cdr temp2) (cdr a)))
184 (math-compose-expr temp prec))
185 (and (setq temp2 (assq nil (cdr temp)))
186 (funcall (cdr temp2) a))))
187 (and (setq temp (assq nil comps))
188 (or (and (setq temp2 (assq (1- (length a)) (cdr temp)))
189 (setq temp (apply (cdr temp2) (cdr a)))
190 (math-compose-expr temp prec))
191 (and (setq temp2 (assq nil (cdr temp)))
192 (funcall (cdr temp2) a))))))))
193 ((eq (car a) 'vec)
fdcf8e2b 194 (let* ((math-comp-left-bracket (if calc-vector-brackets
136211a9 195 (substring calc-vector-brackets 0 1) ""))
fdcf8e2b 196 (math-comp-right-bracket (if calc-vector-brackets
136211a9
EZ
197 (substring calc-vector-brackets 1 2) ""))
198 (inner-brackets (memq 'R calc-matrix-brackets))
199 (outer-brackets (memq 'O calc-matrix-brackets))
200 (row-commas (memq 'C calc-matrix-brackets))
fdcf8e2b
JB
201 (math-comp-comma-spc (or calc-vector-commas " "))
202 (math-comp-comma (or calc-vector-commas ""))
203 (math-comp-vector-prec (if (or (and calc-vector-commas
136211a9
EZ
204 (math-vector-no-parens a))
205 (memq 'P calc-matrix-brackets)) 0 1000))
fdcf8e2b
JB
206 (math-comp-just (cond ((eq calc-matrix-just 'right) 'vright)
207 ((eq calc-matrix-just 'center) 'vcent)
208 (t 'vleft)))
136211a9
EZ
209 (break calc-break-vectors))
210 (if (and (memq calc-language '(nil big))
211 (not calc-break-vectors)
212 (math-matrixp a) (not (math-matrixp (nth 1 a)))
213 (or calc-full-vectors
214 (and (< (length a) 7) (< (length (nth 1 a)) 7))
215 (progn (setq break t) nil)))
216 (if (progn
fdcf8e2b
JB
217 (setq math-comp-vector-prec (if (or (and calc-vector-commas
218 (math-vector-no-parens
219 (nth 1 a)))
220 (memq 'P calc-matrix-brackets))
221 0 1000))
136211a9
EZ
222 (= (length a) 2))
223 (list 'horiz
fdcf8e2b
JB
224 (concat math-comp-left-bracket math-comp-left-bracket " ")
225 (math-compose-vector (cdr (nth 1 a)) (concat math-comp-comma " ")
226 math-comp-vector-prec)
227 (concat " " math-comp-right-bracket math-comp-right-bracket))
136211a9
EZ
228 (let* ((rows (1- (length a)))
229 (cols (1- (length (nth 1 a))))
230 (base (/ (1- rows) 2))
231 (calc-language 'flat))
232 (append '(horiz)
233 (list (append '(vleft)
234 (list base)
235 (list (concat (and outer-brackets
fdcf8e2b 236 (concat math-comp-left-bracket
136211a9
EZ
237 " "))
238 (and inner-brackets
fdcf8e2b 239 (concat math-comp-left-bracket
136211a9
EZ
240 " "))))
241 (make-list (1- rows)
242 (concat (and outer-brackets
243 " ")
244 (and inner-brackets
245 (concat
fdcf8e2b 246 math-comp-left-bracket
136211a9
EZ
247 " "))))))
248 (math-compose-matrix (cdr a) 1 cols base)
249 (list (append '(vleft)
250 (list base)
251 (make-list (1- rows)
252 (if inner-brackets
253 (concat " "
fdcf8e2b 254 math-comp-right-bracket
136211a9 255 (and row-commas
fdcf8e2b 256 math-comp-comma))
136211a9
EZ
257 (if (and outer-brackets
258 row-commas)
259 ";" "")))
260 (list (concat
261 (and inner-brackets
262 (concat " "
fdcf8e2b 263 math-comp-right-bracket))
136211a9
EZ
264 (and outer-brackets
265 (concat
266 " "
fdcf8e2b 267 math-comp-right-bracket)))))))))
136211a9
EZ
268 (if (and calc-display-strings
269 (cdr a)
270 (math-vector-is-string a))
271 (math-vector-to-string a t)
272 (if (and break (cdr a)
273 (not (eq calc-language 'flat)))
274 (let* ((full (or calc-full-vectors (< (length a) 7)))
275 (rows (if full (1- (length a)) 5))
276 (base (/ (1- rows) 2))
136211a9
EZ
277 (calc-break-vectors nil))
278 (list 'horiz
279 (cons 'vleft (cons base
280 (math-compose-rows
281 (cdr a)
282 (if full rows 3) t)))))
283 (if (or calc-full-vectors (< (length a) 7))
018f0ad2
JB
284 (if (and
285 (setq spfn (get calc-language 'math-matrix-formatter))
286 (math-matrixp a))
287 (funcall spfn a)
288 (list 'horiz
289 math-comp-left-bracket
290 (math-compose-vector (cdr a)
291 (concat math-comp-comma " ")
292 math-comp-vector-prec)
293 math-comp-right-bracket))
136211a9 294 (list 'horiz
fdcf8e2b 295 math-comp-left-bracket
136211a9 296 (math-compose-vector (list (nth 1 a) (nth 2 a) (nth 3 a))
fdcf8e2b
JB
297 (concat math-comp-comma " ")
298 math-comp-vector-prec)
018f0ad2
JB
299 math-comp-comma
300 (if (setq spfn (get calc-language 'math-dots))
301 (concat " " spfn)
302 " ...")
fdcf8e2b 303 math-comp-comma " "
136211a9
EZ
304 (list 'break math-compose-level)
305 (math-compose-expr (nth (1- (length a)) a)
fdcf8e2b
JB
306 (if (equal math-comp-comma "") 1000 0))
307 math-comp-right-bracket)))))))
136211a9
EZ
308 ((eq (car a) 'incomplete)
309 (if (cdr (cdr a))
310 (cond ((eq (nth 1 a) 'vec)
311 (list 'horiz "["
312 (math-compose-vector (cdr (cdr a)) ", " 0)
313 " ..."))
314 ((eq (nth 1 a) 'cplx)
315 (list 'horiz "("
316 (math-compose-vector (cdr (cdr a)) ", " 0)
317 ", ..."))
318 ((eq (nth 1 a) 'polar)
319 (list 'horiz "("
320 (math-compose-vector (cdr (cdr a)) "; " 0)
321 "; ..."))
322 ((eq (nth 1 a) 'intv)
323 (list 'horiz
324 (if (memq (nth 2 a) '(0 1)) "(" "[")
325 (math-compose-vector (cdr (cdr (cdr a))) " .. " 0)
326 " .. ..."))
327 (t (format "%s" a)))
328 (cond ((eq (nth 1 a) 'vec) "[ ...")
329 ((eq (nth 1 a) 'intv)
330 (if (memq (nth 2 a) '(0 1)) "( ..." "[ ..."))
331 (t "( ..."))))
332 ((eq (car a) 'var)
333 (let ((v (rassq (nth 2 a) math-expr-variable-mapping)))
334 (if v
335 (symbol-name (car v))
018f0ad2 336 (if (setq spfn (get calc-language 'math-var-formatter))
2b8a3002
JB
337 (funcall spfn a prec)
338 (math-compose-var a)))))
136211a9
EZ
339 ((eq (car a) 'intv)
340 (list 'horiz
018f0ad2 341 (if (memq (nth 1 a) '(0 1)) "(" "[")
136211a9 342 (math-compose-expr (nth 2 a) 0)
018f0ad2 343 " .. "
136211a9 344 (math-compose-expr (nth 3 a) 0)
018f0ad2 345 (if (memq (nth 1 a) '(0 2)) ")" "]")))
136211a9
EZ
346 ((eq (car a) 'date)
347 (if (eq (car calc-date-format) 'X)
348 (math-format-date a)
349 (concat "<" (math-format-date a) ">")))
018f0ad2
JB
350 ((and (eq (car a) 'calcFunc-subscr)
351 (setq spfn (get calc-language 'math-compose-subscr)))
352 (funcall spfn a))
136211a9
EZ
353 ((and (eq (car a) 'calcFunc-subscr) (= (length a) 3)
354 (eq calc-language 'big))
355 (let* ((a1 (math-compose-expr (nth 1 a) 1000))
356 (calc-language 'flat)
357 (a2 (math-compose-expr (nth 2 a) 0)))
358 (if (or (eq (car-safe a1) 'subscr)
359 (and (eq (car-safe a1) 'tag)
360 (eq (car-safe (nth 2 a1)) 'subscr)
361 (setq a1 (nth 2 a1))))
362 (list 'subscr
363 (nth 1 a1)
364 (list 'horiz
365 (nth 2 a1)
366 ", "
367 a2))
368 (list 'subscr a1 a2))))
136211a9
EZ
369 ((and (eq (car a) '^)
370 (eq calc-language 'big))
371 (list 'supscr
372 (if (or (math-looks-negp (nth 1 a))
373 (memq (car-safe (nth 1 a)) '(^ / frac calcFunc-sqrt))
374 (and (eq (car-safe (nth 1 a)) 'cplx)
375 (math-negp (nth 1 (nth 1 a)))
376 (eq (nth 2 (nth 1 a)) 0)))
377 (list 'horiz "(" (math-compose-expr (nth 1 a) 0) ")")
378 (math-compose-expr (nth 1 a) 201))
379 (let ((calc-language 'flat)
064cb7e6
JB
380 (calc-number-radix 10)
381 (calc-twos-complement-mode nil))
136211a9
EZ
382 (math-compose-expr (nth 2 a) 0))))
383 ((and (eq (car a) '/)
384 (eq calc-language 'big))
385 (let ((a1 (let ((calc-language (if (memq (car-safe (nth 1 a)) '(/ frac))
386 'flat 'big)))
387 (math-compose-expr (nth 1 a) 0)))
388 (a2 (let ((calc-language (if (memq (car-safe (nth 2 a)) '(/ frac))
389 'flat 'big)))
390 (math-compose-expr (nth 2 a) 0))))
391 (list 'vcent
392 (math-comp-height a1)
393 a1 '(rule ?-) a2)))
136211a9
EZ
394 ((and (eq (car a) 'calcFunc-lambda)
395 (> (length a) 2)
396 (memq calc-language '(nil flat big)))
397 (let ((p (cdr a))
398 (ap calc-arg-values)
399 (math-compose-hash-args (if (= (length a) 3) 1 t)))
400 (while (and (cdr p) (equal (car p) (car ap)))
401 (setq p (cdr p) ap (cdr ap)))
402 (append '(horiz "<")
403 (if (cdr p)
404 (list (math-compose-vector
405 (nreverse (cdr (reverse (cdr a)))) ", " 0)
406 " : ")
407 nil)
408 (list (math-compose-expr (nth (1- (length a)) a) 0)
409 ">"))))
410 ((and (eq (car a) 'calcFunc-string)
411 (= (length a) 2)
412 (math-vectorp (nth 1 a))
413 (math-vector-is-string (nth 1 a)))
414 (if (eq calc-language 'unform)
415 (concat "string(" (math-vector-to-string (nth 1 a) t) ")")
416 (math-vector-to-string (nth 1 a) nil)))
417 ((and (eq (car a) 'calcFunc-bstring)
418 (= (length a) 2)
419 (math-vectorp (nth 1 a))
420 (math-vector-is-string (nth 1 a)))
421 (if (eq calc-language 'unform)
422 (concat "bstring(" (math-vector-to-string (nth 1 a) t) ")")
423 (let ((c nil)
424 (s (math-vector-to-string (nth 1 a) nil))
425 p)
426 (while (string-match "[^ ] +[^ ]" s)
427 (setq p (1- (match-end 0))
428 c (cons (list 'break math-compose-level)
429 (cons (substring s 0 p)
430 c))
431 s (substring s p)))
432 (setq c (nreverse (cons s c)))
433 (or (= prec -123)
434 (setq c (cons (list 'set math-compose-level 2) c)))
435 (cons 'horiz c))))
436 ((and (eq (car a) 'calcFunc-cprec)
437 (not (eq calc-language 'unform))
438 (= (length a) 3)
439 (integerp (nth 2 a)))
440 (let ((c (math-compose-expr (nth 1 a) -1)))
441 (if (> prec (nth 2 a))
018f0ad2
JB
442 (if (setq spfn (get calc-language 'math-big-parens))
443 (list 'horiz (car spfn) c (cdr spfn))
444 (list 'horiz "(" c ")"))
136211a9
EZ
445 c)))
446 ((and (eq (car a) 'calcFunc-choriz)
447 (not (eq calc-language 'unform))
448 (memq (length a) '(2 3 4))
449 (math-vectorp (nth 1 a))
450 (if (integerp (nth 2 a))
451 (or (null (nth 3 a))
452 (and (math-vectorp (nth 3 a))
453 (math-vector-is-string (nth 3 a))))
454 (or (null (nth 2 a))
455 (and (math-vectorp (nth 2 a))
456 (math-vector-is-string (nth 2 a))))))
457 (let* ((cprec (and (integerp (nth 2 a)) (nth 2 a)))
458 (sep (nth (if cprec 3 2) a))
459 (bprec nil))
460 (if sep
461 (math-compose-vector (cdr (nth 1 a))
462 (math-vector-to-string sep nil)
463 (or cprec prec))
464 (cons 'horiz (mapcar (function
465 (lambda (x)
466 (if (eq (car-safe x) 'calcFunc-bstring)
467 (prog1
468 (math-compose-expr
469 x (or bprec cprec prec))
470 (setq bprec -123))
471 (math-compose-expr x (or cprec prec)))))
472 (cdr (nth 1 a)))))))
473 ((and (memq (car a) '(calcFunc-cvert calcFunc-clvert calcFunc-crvert))
474 (not (eq calc-language 'unform))
475 (memq (length a) '(2 3))
476 (math-vectorp (nth 1 a))
477 (or (null (nth 2 a))
478 (integerp (nth 2 a))))
479 (let* ((base 0)
480 (v 0)
481 (prec (or (nth 2 a) prec))
482 (c (mapcar (function
483 (lambda (x)
484 (let ((b nil) (cc nil) a d)
485 (if (and (memq (car-safe x) '(calcFunc-cbase
486 calcFunc-ctbase
487 calcFunc-cbbase))
488 (memq (length x) '(1 2)))
489 (setq b (car x)
490 x (nth 1 x)))
491 (if (and (eq (car-safe x) 'calcFunc-crule)
492 (memq (length x) '(1 2))
493 (or (null (nth 1 x))
494 (and (math-vectorp (nth 1 x))
495 (= (length (nth 1 x)) 2)
496 (math-vector-is-string
497 (nth 1 x)))
498 (and (natnump (nth 1 x))
499 (<= (nth 1 x) 255))))
500 (setq cc (list
501 'rule
502 (if (math-vectorp (nth 1 x))
503 (aref (math-vector-to-string
504 (nth 1 x) nil) 0)
505 (or (nth 1 x) ?-))))
506 (or (and (memq (car-safe x) '(calcFunc-cvspace
507 calcFunc-ctspace
508 calcFunc-cbspace))
509 (memq (length x) '(2 3))
510 (eq (nth 1 x) 0))
511 (null x)
512 (setq cc (math-compose-expr x prec))))
513 (setq a (if cc (math-comp-ascent cc) 0)
514 d (if cc (math-comp-descent cc) 0))
515 (if (eq b 'calcFunc-cbase)
516 (setq base (+ v a -1))
517 (if (eq b 'calcFunc-ctbase)
518 (setq base v)
519 (if (eq b 'calcFunc-cbbase)
520 (setq base (+ v a d -1)))))
521 (setq v (+ v a d))
522 cc)))
523 (cdr (nth 1 a)))))
524 (setq c (delq nil c))
525 (if c
526 (cons (if (eq (car a) 'calcFunc-cvert) 'vcent
527 (if (eq (car a) 'calcFunc-clvert) 'vleft 'vright))
528 (cons base c))
529 " ")))
530 ((and (memq (car a) '(calcFunc-csup calcFunc-csub))
531 (not (eq calc-language 'unform))
532 (memq (length a) '(3 4))
533 (or (null (nth 3 a))
534 (integerp (nth 3 a))))
535 (list (if (eq (car a) 'calcFunc-csup) 'supscr 'subscr)
536 (math-compose-expr (nth 1 a) (or (nth 3 a) 0))
537 (math-compose-expr (nth 2 a) 0)))
538 ((and (eq (car a) 'calcFunc-cflat)
539 (not (eq calc-language 'unform))
540 (memq (length a) '(2 3))
541 (or (null (nth 2 a))
542 (integerp (nth 2 a))))
543 (let ((calc-language (if (memq calc-language '(nil big))
544 'flat calc-language)))
545 (math-compose-expr (nth 1 a) (or (nth 2 a) 0))))
546 ((and (eq (car a) 'calcFunc-cspace)
547 (memq (length a) '(2 3))
548 (natnump (nth 1 a)))
549 (if (nth 2 a)
550 (cons 'horiz (make-list (nth 1 a)
551 (if (and (math-vectorp (nth 2 a))
552 (math-vector-is-string (nth 2 a)))
553 (math-vector-to-string (nth 2 a) nil)
554 (math-compose-expr (nth 2 a) 0))))
555 (make-string (nth 1 a) ?\ )))
556 ((and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
557 (memq (length a) '(2 3))
558 (natnump (nth 1 a)))
559 (if (= (nth 1 a) 0)
560 ""
561 (let* ((c (if (nth 2 a)
562 (if (and (math-vectorp (nth 2 a))
563 (math-vector-is-string (nth 2 a)))
564 (math-vector-to-string (nth 2 a) nil)
565 (math-compose-expr (nth 2 a) 0))
566 " "))
567 (ca (math-comp-ascent c))
568 (cd (math-comp-descent c)))
569 (cons 'vleft
570 (cons (if (eq (car a) 'calcFunc-ctspace)
571 (1- ca)
572 (if (eq (car a) 'calcFunc-cbspace)
573 (+ (* (1- (nth 1 a)) (+ ca cd)) (1- ca))
574 (/ (1- (* (nth 1 a) (+ ca cd))) 2)))
575 (make-list (nth 1 a) c))))))
576 ((and (eq (car a) 'calcFunc-evalto)
577 (setq calc-any-evaltos t)
018f0ad2 578 (setq spfn (get calc-language 'math-evalto))
136211a9
EZ
579 (= math-compose-level (if math-comp-tagged 2 1))
580 (= (length a) 3))
581 (list 'horiz
018f0ad2 582 (car spfn)
136211a9 583 (math-compose-expr (nth 1 a) 0)
018f0ad2 584 (cdr spfn)
136211a9
EZ
585 (math-compose-expr (nth 2 a) 0)))
586 (t
587 (let ((op (and (not (eq calc-language 'unform))
588 (if (and (eq (car a) 'calcFunc-if) (= (length a) 4))
589 (assoc "?" math-expr-opers)
590 (math-assq2 (car a) math-expr-opers)))))
591 (cond ((and op
592 (or (= (length a) 3) (eq (car a) 'calcFunc-if))
593 (/= (nth 3 op) -1))
594 (cond
595 ((> prec (or (nth 4 op) (min (nth 2 op) (nth 3 op))))
ddaad609 596 (if (and (memq calc-language '(tex latex))
136211a9
EZ
597 (not (math-tex-expr-is-flat a)))
598 (if (eq (car-safe a) '/)
599 (list 'horiz "{" (math-compose-expr a -1) "}")
600 (list 'horiz "\\left( "
601 (math-compose-expr a -1)
602 " \\right)"))
603 (if (eq calc-language 'eqn)
604 (if (or (eq (car-safe a) '/)
605 (= (/ prec 100) 9))
606 (list 'horiz "{" (math-compose-expr a -1) "}")
607 (if (math-tex-expr-is-flat a)
608 (list 'horiz "( " (math-compose-expr a -1) " )")
609 (list 'horiz "{left ( "
610 (math-compose-expr a -1)
611 " right )}")))
612 (list 'horiz "(" (math-compose-expr a 0) ")"))))
ddaad609 613 ((and (memq calc-language '(tex latex))
136211a9
EZ
614 (memq (car a) '(/ calcFunc-choose calcFunc-evalto))
615 (>= prec 0))
616 (list 'horiz "{" (math-compose-expr a -1) "}"))
617 ((eq (car a) 'calcFunc-if)
618 (list 'horiz
619 (math-compose-expr (nth 1 a) (nth 2 op))
620 " ? "
621 (math-compose-expr (nth 2 a) 0)
622 " : "
623 (math-compose-expr (nth 3 a) (nth 3 op))))
624 (t
625 (let* ((math-comp-tagged (and math-comp-tagged
626 (not (math-primp a))
627 math-comp-tagged))
628 (setlev (if (= prec (min (nth 2 op) (nth 3 op)))
629 (progn
630 (setq math-compose-level
631 (1- math-compose-level))
632 nil)
633 math-compose-level))
634 (lhs (math-compose-expr (nth 1 a) (nth 2 op)))
635 (rhs (math-compose-expr (nth 2 a) (nth 3 op))))
636 (and (equal (car op) "^")
637 (eq (math-comp-first-char lhs) ?-)
638 (setq lhs (list 'horiz "(" lhs ")")))
ddaad609 639 (and (memq calc-language '(tex latex))
136211a9
EZ
640 (or (equal (car op) "^") (equal (car op) "_"))
641 (not (and (stringp rhs) (= (length rhs) 1)))
642 (setq rhs (list 'horiz "{" rhs "}")))
643 (or (and (eq (car a) '*)
644 (or (null calc-language)
645 (assoc "2x" math-expr-opers))
646 (let* ((prevt (math-prod-last-term (nth 1 a)))
647 (nextt (math-prod-first-term (nth 2 a)))
648 (prevc (or (math-comp-last-char lhs)
649 (and (memq (car-safe prevt)
650 '(^ calcFunc-subscr
651 calcFunc-sqrt
652 frac))
653 (eq calc-language 'big)
654 ?0)))
655 (nextc (or (math-comp-first-char rhs)
656 (and (memq (car-safe nextt)
657 '(calcFunc-sqrt
658 calcFunc-sum
659 calcFunc-prod
660 calcFunc-integ))
661 (eq calc-language 'big)
662 ?0))))
663 (and prevc nextc
664 (or (and (>= nextc ?a) (<= nextc ?z))
665 (and (>= nextc ?A) (<= nextc ?Z))
ae6bc504
JB
666 (and (>= nextc ?α) (<= nextc ?ω))
667 (and (>= nextc ?Α) (<= nextc ?Ω))
136211a9
EZ
668 (and (>= nextc ?0) (<= nextc ?9))
669 (memq nextc '(?. ?_ ?#
670 ?\( ?\[ ?\{))
671 (and (eq nextc ?\\)
672 (not (string-match
673 "\\`\\\\left("
674 (math-comp-first-string
675 rhs)))))
676 (not (and (eq (car-safe prevt) 'var)
677 (eq nextc ?\()))
678 (list 'horiz
679 (list 'set setlev 1)
680 lhs
681 (list 'break math-compose-level)
682 " "
683 rhs))))
684 (list 'horiz
685 (list 'set setlev 1)
686 lhs
687 (list 'break math-compose-level)
688 (if (or (equal (car op) "^")
689 (equal (car op) "_")
690 (equal (car op) "**")
691 (and (equal (car op) "*")
692 (math-comp-last-char lhs)
693 (math-comp-first-char rhs))
694 (and (equal (car op) "/")
695 (math-num-integerp (nth 1 a))
696 (math-integerp (nth 2 a))))
697 (car op)
698 (if (and (eq calc-language 'big)
699 (equal (car op) "=>"))
700 " => "
701 (concat " " (car op) " ")))
702 rhs))))))
703 ((and op (= (length a) 2) (= (nth 3 op) -1))
704 (cond
705 ((or (> prec (or (nth 4 op) (nth 2 op)))
706 (and (not (eq (assoc (car op) math-expr-opers) op))
707 (> prec 0))) ; don't write x% + y
ddaad609 708 (if (and (memq calc-language '(tex latex))
136211a9
EZ
709 (not (math-tex-expr-is-flat a)))
710 (list 'horiz "\\left( "
711 (math-compose-expr a -1)
712 " \\right)")
713 (if (eq calc-language 'eqn)
714 (if (= (/ prec 100) 9)
715 (list 'horiz "{" (math-compose-expr a -1) "}")
716 (if (math-tex-expr-is-flat a)
717 (list 'horiz "{( " (math-compose-expr a -1) " )}")
718 (list 'horiz "{left ( "
719 (math-compose-expr a -1)
720 " right )}")))
721 (list 'horiz "(" (math-compose-expr a 0) ")"))))
722 (t
723 (let ((lhs (math-compose-expr (nth 1 a) (nth 2 op))))
724 (list 'horiz
725 lhs
726 (if (or (> (length (car op)) 1)
727 (not (math-comp-is-flat lhs)))
728 (concat " " (car op))
729 (car op)))))))
730 ((and op (= (length a) 2) (= (nth 2 op) -1))
731 (cond
732 ((eq (nth 3 op) 0)
ddaad609 733 (let ((lr (and (memq calc-language '(tex latex))
136211a9
EZ
734 (not (math-tex-expr-is-flat (nth 1 a))))))
735 (list 'horiz
736 (if lr "\\left" "")
ae6bc504 737 (if (string-match "\\`u\\([^a-zA-Zα-ωΑ-Ω]\\)\\'" (car op))
136211a9
EZ
738 (substring (car op) 1)
739 (car op))
740 (if (or lr (> (length (car op)) 2)) " " "")
741 (math-compose-expr (nth 1 a) -1)
742 (if (or lr (> (length (car op)) 2)) " " "")
743 (if lr "\\right" "")
744 (car (nth 1 (memq op math-expr-opers))))))
745 ((> prec (or (nth 4 op) (nth 3 op)))
ddaad609 746 (if (and (memq calc-language '(tex latex))
136211a9
EZ
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 ((rhs (math-compose-expr (nth 1 a) (nth 3 op))))
762 (list 'horiz
ae6bc504 763 (let ((ops (if (string-match "\\`u\\([^a-zA-Zα-ωΑ-Ω]\\)\\'"
136211a9
EZ
764 (car op))
765 (substring (car op) 1)
766 (car op))))
767 (if (or (> (length ops) 1)
768 (not (math-comp-is-flat rhs)))
769 (concat ops " ")
770 ops))
771 rhs)))))
772 ((and (eq calc-language 'big)
773 (setq op (get (car a) 'math-compose-big))
774 (funcall op a prec)))
775 ((and (setq op (assq calc-language
776 '( ( nil . math-compose-normal )
777 ( flat . math-compose-normal )
778 ( big . math-compose-normal )
779 ( c . math-compose-c )
780 ( pascal . math-compose-pascal )
781 ( fortran . math-compose-fortran )
782 ( tex . math-compose-tex )
ddaad609 783 ( latex . math-compose-latex )
136211a9 784 ( eqn . math-compose-eqn )
f2007b42
JB
785 ( yacas . math-compose-yacas )
786 ( maxima . math-compose-maxima )
787 ( giac . math-compose-giac )
136211a9
EZ
788 ( math . math-compose-math )
789 ( maple . math-compose-maple ))))
790 (setq op (get (car a) (cdr op)))
791 (funcall op a prec)))
792 (t
793 (let* ((func (car a))
794 (func2 (assq func '(( mod . calcFunc-makemod )
795 ( sdev . calcFunc-sdev )
796 ( + . calcFunc-add )
797 ( - . calcFunc-sub )
798 ( * . calcFunc-mul )
799 ( / . calcFunc-div )
800 ( % . calcFunc-mod )
801 ( ^ . calcFunc-pow )
802 ( neg . calcFunc-neg )
803 ( | . calcFunc-vconcat ))))
804 left right args)
805 (if func2
806 (setq func (cdr func2)))
807 (if (setq func2 (rassq func math-expr-function-mapping))
808 (setq func (car func2)))
809 (setq func (math-remove-dashes
810 (if (string-match
ae6bc504 811 "\\`calcFunc-\\([a-zA-Zα-ωΑ-Ω0-9']+\\)\\'"
136211a9
EZ
812 (symbol-name func))
813 (math-match-substring (symbol-name func) 1)
814 (symbol-name func))))
28d88201
JB
815 (if (memq calc-language calc-lang-allow-percentsigns)
816 (setq func (math-to-percentsigns func)))
018f0ad2 817 (if (memq calc-language calc-lang-allow-underscores)
136211a9 818 (setq func (math-to-underscores func)))
018f0ad2
JB
819 (if (setq spfn (get calc-language 'math-func-formatter))
820 (funcall spfn func a)
821
822 (list 'horiz func calc-function-open
823 (math-compose-vector (cdr a) ", " 0)
824 calc-function-close))))))))))
136211a9 825
136211a9
EZ
826
827(defun math-prod-first-term (x)
828 (while (eq (car-safe x) '*)
829 (setq x (nth 1 x)))
bf77c646 830 x)
136211a9
EZ
831
832(defun math-prod-last-term (x)
833 (while (eq (car-safe x) '*)
834 (setq x (nth 2 x)))
bf77c646 835 x)
136211a9
EZ
836
837(defun math-compose-vector (a sep prec)
838 (if a
839 (cons 'horiz
840 (cons (list 'set math-compose-level)
841 (let ((c (list (math-compose-expr (car a) prec))))
842 (while (setq a (cdr a))
843 (setq c (cons (if (eq (car-safe (car a))
844 'calcFunc-bstring)
845 (let ((math-compose-level
846 (1- math-compose-level)))
847 (math-compose-expr (car a) -123))
848 (math-compose-expr (car a) prec))
849 (cons (list 'break math-compose-level)
850 (cons sep c)))))
851 (nreverse c))))
bf77c646 852 ""))
136211a9
EZ
853
854(defun math-vector-no-parens (a)
855 (or (cdr (cdr a))
bf77c646 856 (not (eq (car-safe (nth 1 a)) '*))))
136211a9
EZ
857
858(defun math-compose-matrix (a col cols base)
859 (let ((col 0)
860 (res nil))
861 (while (<= (setq col (1+ col)) cols)
fdcf8e2b 862 (setq res (cons (cons math-comp-just
136211a9
EZ
863 (cons base
864 (mapcar (function
865 (lambda (r)
866 (list 'horiz
867 (math-compose-expr
868 (nth col r)
fdcf8e2b 869 math-comp-vector-prec)
136211a9
EZ
870 (if (= col cols)
871 ""
fdcf8e2b
JB
872 (concat
873 math-comp-comma-spc " ")))))
136211a9
EZ
874 a)))
875 res)))
bf77c646 876 (nreverse res)))
136211a9
EZ
877
878(defun math-compose-rows (a count first)
879 (if (cdr a)
880 (if (<= count 0)
881 (if (< count 0)
882 (math-compose-rows (cdr a) -1 nil)
018f0ad2
JB
883 (cons (concat
884 (let ((mdots (get calc-language 'math-dots)))
885 (if mdots
886 (concat " " mdots)
887 " ..."))
888 math-comp-comma)
136211a9
EZ
889 (math-compose-rows (cdr a) -1 nil)))
890 (cons (list 'horiz
fdcf8e2b
JB
891 (if first (concat math-comp-left-bracket " ") " ")
892 (math-compose-expr (car a) math-comp-vector-prec)
893 math-comp-comma)
136211a9
EZ
894 (math-compose-rows (cdr a) (1- count) nil)))
895 (list (list 'horiz
fdcf8e2b
JB
896 (if first (concat math-comp-left-bracket " ") " ")
897 (math-compose-expr (car a) math-comp-vector-prec)
898 (concat " " math-comp-right-bracket)))))
136211a9 899
136211a9
EZ
900(defun math-vector-is-string (a)
901 (while (and (setq a (cdr a))
902 (or (and (natnump (car a))
903 (<= (car a) 255))
904 (and (eq (car-safe (car a)) 'cplx)
905 (natnump (nth 1 (car a)))
906 (eq (nth 2 (car a)) 0)
907 (<= (nth 1 (car a)) 255)))))
bf77c646 908 (null a))
136211a9 909
3132f345
CW
910(defconst math-vector-to-string-chars '( ( ?\" . "\\\"" )
911 ( ?\\ . "\\\\" )
912 ( ?\a . "\\a" )
913 ( ?\b . "\\b" )
914 ( ?\e . "\\e" )
915 ( ?\f . "\\f" )
916 ( ?\n . "\\n" )
917 ( ?\r . "\\r" )
918 ( ?\t . "\\t" )
919 ( ?\^? . "\\^?" )))
920
136211a9
EZ
921(defun math-vector-to-string (a &optional quoted)
922 (setq a (concat (mapcar (function (lambda (x) (if (consp x) (nth 1 x) x)))
923 (cdr a))))
924 (if (string-match "[\000-\037\177\\\"]" a)
925 (let ((p 0)
926 (pat (if quoted "[\000-\037\177\\\"]" "[\000-\037\177]"))
927 (codes (if quoted math-vector-to-string-chars '((?\^? . "^?"))))
928 (fmt (if quoted "\\^%c" "^%c"))
929 new)
930 (while (setq p (string-match pat a p))
931 (if (setq new (assq (aref a p) codes))
932 (setq a (concat (substring a 0 p)
933 (cdr new)
934 (substring a (1+ p)))
935 p (+ p (length (cdr new))))
936 (setq a (concat (substring a 0 p)
937 (format fmt (+ (aref a p) 64))
938 (substring a (1+ p)))
939 p (+ p 2))))))
940 (if quoted
941 (concat "\"" a "\"")
bf77c646 942 a))
3132f345 943
136211a9
EZ
944
945(defun math-to-underscores (x)
946 (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x)
947 (math-to-underscores
948 (concat (math-match-substring x 1) "_" (math-match-substring x 2)))
28d88201
JB
949 x))
950
951(defun math-to-percentsigns (x)
88cf3347
JB
952 (if (string-match "\\`\\(.*\\)o'o\\(.*\\)\\'" x)
953 (math-to-underscores
28d88201 954 (concat (math-match-substring x 1) "%" (math-match-substring x 2)))
bf77c646 955 x))
136211a9
EZ
956
957(defun math-tex-expr-is-flat (a)
958 (or (Math-integerp a)
959 (memq (car a) '(float var))
960 (and (memq (car a) '(+ - * neg))
961 (progn
962 (while (and (setq a (cdr a))
963 (math-tex-expr-is-flat (car a))))
964 (null a)))
965 (and (memq (car a) '(^ calcFunc-subscr))
bf77c646 966 (math-tex-expr-is-flat (nth 1 a)))))
136211a9
EZ
967
968(put 'calcFunc-log 'math-compose-big 'math-compose-log)
969(defun math-compose-log (a prec)
970 (and (= (length a) 3)
971 (list 'horiz
972 (list 'subscr "log"
973 (let ((calc-language 'flat))
974 (math-compose-expr (nth 2 a) 1000)))
975 "("
976 (math-compose-expr (nth 1 a) 1000)
bf77c646 977 ")")))
136211a9
EZ
978
979(put 'calcFunc-log10 'math-compose-big 'math-compose-log10)
980(defun math-compose-log10 (a prec)
981 (and (= (length a) 2)
982 (list 'horiz
983 (list 'subscr "log" "10")
984 "("
985 (math-compose-expr (nth 1 a) 1000)
bf77c646 986 ")")))
136211a9
EZ
987
988(put 'calcFunc-deriv 'math-compose-big 'math-compose-deriv)
989(put 'calcFunc-tderiv 'math-compose-big 'math-compose-deriv)
990(defun math-compose-deriv (a prec)
3132f345
CW
991 (when (= (length a) 3)
992 (math-compose-expr (list '/
993 (list 'calcFunc-choriz
994 (list 'vec
995 '(calcFunc-string (vec ?d))
996 (nth 1 a)))
997 (list 'calcFunc-choriz
998 (list 'vec
999 '(calcFunc-string (vec ?d))
1000 (nth 2 a))))
1001 prec)))
136211a9
EZ
1002
1003(put 'calcFunc-sqrt 'math-compose-big 'math-compose-sqrt)
1004(defun math-compose-sqrt (a prec)
3132f345
CW
1005 (when (= (length a) 2)
1006 (let* ((c (math-compose-expr (nth 1 a) 0))
1007 (a (math-comp-ascent c))
1008 (d (math-comp-descent c))
1009 (h (+ a d))
1010 (w (math-comp-width c)))
1011 (list 'vleft
1012 a
1013 (concat (if (= h 1) " " " ")
1014 (make-string (+ w 2) ?\_))
1015 (list 'horiz
1016 (if (= h 1)
1017 "V"
1018 (append (list 'vleft (1- a))
1019 (make-list (1- h) " |")
1020 '("\\|")))
1021 " "
1022 c)))))
136211a9
EZ
1023
1024(put 'calcFunc-choose 'math-compose-big 'math-compose-choose)
1025(defun math-compose-choose (a prec)
1026 (let ((a1 (math-compose-expr (nth 1 a) 0))
1027 (a2 (math-compose-expr (nth 2 a) 0)))
1028 (list 'horiz
1029 "("
1030 (list 'vcent
1031 (math-comp-height a1)
1032 a1 " " a2)
bf77c646 1033 ")")))
136211a9
EZ
1034
1035(put 'calcFunc-integ 'math-compose-big 'math-compose-integ)
1036(defun math-compose-integ (a prec)
1037 (and (memq (length a) '(3 5))
1038 (eq (car-safe (nth 2 a)) 'var)
1039 (let* ((parens (and (>= prec 196) (/= prec 1000)))
1040 (var (math-compose-expr (nth 2 a) 0))
1041 (over (and (eq (car-safe (nth 2 a)) 'var)
1042 (or (and (eq (car-safe (nth 1 a)) '/)
1043 (math-numberp (nth 1 (nth 1 a))))
1044 (and (eq (car-safe (nth 1 a)) '^)
1045 (math-looks-negp (nth 2 (nth 1 a)))))))
1046 (expr (math-compose-expr (if over
1047 (math-mul (nth 1 a)
1048 (math-build-var-name
1049 (format
1050 "d%s"
1051 (nth 1 (nth 2 a)))))
1052 (nth 1 a)) 185))
1053 (calc-language 'flat)
1054 (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0)))
1055 (high (and (nth 4 a) (math-compose-expr (nth 4 a) 0))))
1056 (list 'horiz
1057 (if parens "(" "")
1058 (append (list 'vcent (if high 3 2))
1059 (and high (list (list 'horiz " " high)))
1060 '(" /"
1061 " | "
1062 " | "
1063 " | "
1064 "/ ")
1065 (and low (list (list 'horiz low " "))))
1066 expr
1067 (if over
1068 ""
1069 (list 'horiz " d" var))
bf77c646 1070 (if parens ")" "")))))
136211a9
EZ
1071
1072(put 'calcFunc-sum 'math-compose-big 'math-compose-sum)
1073(defun math-compose-sum (a prec)
1074 (and (memq (length a) '(3 5 6))
1075 (let* ((expr (math-compose-expr (nth 1 a) 185))
1076 (calc-language 'flat)
1077 (var (math-compose-expr (nth 2 a) 0))
1078 (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0)))
1079 (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0))))
1080 (list 'horiz
1081 (if (memq prec '(180 201)) "(" "")
1082 (append (list 'vcent (if high 3 2))
1083 (and high (list high))
1084 '("---- "
1085 "\\ "
1086 " > "
1087 "/ "
1088 "---- ")
1089 (if low
1090 (list (list 'horiz var " = " low))
1091 (list var)))
1092 (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod))
1093 " " "")
1094 expr
bf77c646 1095 (if (memq prec '(180 201)) ")" "")))))
136211a9
EZ
1096
1097(put 'calcFunc-prod 'math-compose-big 'math-compose-prod)
1098(defun math-compose-prod (a prec)
1099 (and (memq (length a) '(3 5 6))
1100 (let* ((expr (math-compose-expr (nth 1 a) 198))
1101 (calc-language 'flat)
1102 (var (math-compose-expr (nth 2 a) 0))
1103 (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0)))
1104 (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0))))
1105 (list 'horiz
1106 (if (memq prec '(196 201)) "(" "")
1107 (append (list 'vcent (if high 3 2))
1108 (and high (list high))
1109 '("----- "
1110 " | | "
1111 " | | "
1112 " | | ")
1113 (if low
1114 (list (list 'horiz var " = " low))
1115 (list var)))
1116 (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod))
1117 " " "")
1118 expr
bf77c646 1119 (if (memq prec '(196 201)) ")" "")))))
136211a9 1120
fdcf8e2b
JB
1121;; The variables math-svo-c, math-svo-wid and math-svo-off are local
1122;; to math-stack-value-offset in calc.el, but are used by
1123;; math-stack-value-offset-fancy, which is called by math-stack-value-offset..
1124(defvar math-svo-c)
1125(defvar math-svo-wid)
1126(defvar math-svo-off)
136211a9
EZ
1127
1128(defun math-stack-value-offset-fancy ()
fdcf8e2b 1129 (let ((cwid (+ (math-comp-width math-svo-c))))
136211a9
EZ
1130 (cond ((eq calc-display-just 'right)
1131 (if calc-display-origin
fdcf8e2b 1132 (setq math-svo-wid (max calc-display-origin 5))
136211a9 1133 (if (integerp calc-line-breaking)
fdcf8e2b
JB
1134 (setq math-svo-wid calc-line-breaking)))
1135 (setq math-svo-off (- math-svo-wid cwid
136211a9
EZ
1136 (max (- (length calc-right-label)
1137 (if (and (integerp calc-line-breaking)
1138 calc-display-origin)
1139 (max (- calc-line-breaking
1140 calc-display-origin)
1141 0)
1142 0))
1143 0))))
1144 (t
1145 (if calc-display-origin
1146 (progn
fdcf8e2b 1147 (setq math-svo-off (- calc-display-origin (/ cwid 2)))
136211a9 1148 (if (integerp calc-line-breaking)
fdcf8e2b 1149 (setq math-svo-off (min math-svo-off (- calc-line-breaking cwid
136211a9 1150 (length calc-right-label)))))
fdcf8e2b
JB
1151 (if (>= math-svo-off 0)
1152 (setq math-svo-wid (max math-svo-wid (+ math-svo-off cwid)))))
136211a9 1153 (if (integerp calc-line-breaking)
fdcf8e2b
JB
1154 (setq math-svo-wid calc-line-breaking))
1155 (setq math-svo-off (/ (- math-svo-wid cwid) 2)))))
136211a9 1156 (and (integerp calc-line-breaking)
fdcf8e2b 1157 (or (< math-svo-off 0)
136211a9
EZ
1158 (and calc-display-origin
1159 (> calc-line-breaking calc-display-origin)))
fdcf8e2b 1160 (setq math-svo-wid calc-line-breaking))))
136211a9
EZ
1161
1162
1163;;; Convert a composition to string form, with embedded \n's if necessary.
1164
1165(defun math-composition-to-string (c &optional width)
1166 (or width (setq width (calc-window-width)))
1167 (if calc-display-raw
1168 (math-comp-to-string-raw c 0)
1169 (if (math-comp-is-flat c)
1170 (math-comp-to-string-flat c width)
1171 (math-vert-comp-to-string
bf77c646 1172 (math-comp-simplify c width)))))
136211a9 1173
3132f345
CW
1174(defvar math-comp-buf-string (make-vector 10 ""))
1175(defvar math-comp-buf-margin (make-vector 10 0))
1176(defvar math-comp-buf-level (make-vector 10 0))
136211a9
EZ
1177(defun math-comp-is-flat (c) ; check if c's height is 1.
1178 (cond ((not (consp c)) t)
1179 ((memq (car c) '(set break)) t)
1180 ((eq (car c) 'horiz)
1181 (while (and (setq c (cdr c))
1182 (math-comp-is-flat (car c))))
1183 (null c))
1184 ((memq (car c) '(vleft vcent vright))
1185 (and (= (length c) 3)
1186 (= (nth 1 c) 0)
1187 (math-comp-is-flat (nth 2 c))))
1188 ((eq (car c) 'tag)
1189 (math-comp-is-flat (nth 2 c)))
bf77c646 1190 (t nil)))
136211a9
EZ
1191
1192
1193;;; Convert a one-line composition to a string. Break into multiple
1194;;; lines if necessary, choosing break points according to the structure
1195;;; of the formula.
1196
fdcf8e2b
JB
1197;; The variables math-comp-full-width, math-comp-highlight, math-comp-word,
1198;; math-comp-level, math-comp-margin and math-comp-buf are local to
1199;; math-comp-to-string-flat, but are used by math-comp-to-string-flat-term,
1200;; which is called by math-comp-to-string-flat.
1201;; math-comp-highlight and math-comp-buf are also local to
1202;; math-comp-simplify-term and math-comp-simplify respectively, but are used
1203;; by math-comp-add-string.
1204(defvar math-comp-full-width)
1205(defvar math-comp-highlight)
1206(defvar math-comp-word)
1207(defvar math-comp-level)
1208(defvar math-comp-margin)
1209(defvar math-comp-buf)
1210;; The variable math-comp-pos is local to math-comp-to-string-flat, but
1211;; is used by math-comp-to-string-flat-term and math-comp-sel-first-term,
1212;; which are called by math-comp-to-string-flat.
1213(defvar math-comp-pos)
1214
1215(defun math-comp-to-string-flat (c math-comp-full-width)
136211a9 1216 (if math-comp-sel-hpos
fdcf8e2b 1217 (let ((math-comp-pos 0))
136211a9 1218 (math-comp-sel-flat-term c))
fdcf8e2b
JB
1219 (let ((math-comp-buf "")
1220 (math-comp-word "")
1221 (math-comp-pos 0)
1222 (math-comp-margin 0)
1223 (math-comp-highlight (and math-comp-selected calc-show-selections))
1224 (math-comp-level -1))
136211a9
EZ
1225 (math-comp-to-string-flat-term '(set -1 0))
1226 (math-comp-to-string-flat-term c)
1227 (math-comp-to-string-flat-term '(break -1))
1228 (let ((str (aref math-comp-buf-string 0))
1229 (prefix ""))
1230 (and (> (length str) 0) (= (aref str 0) ? )
fdcf8e2b
JB
1231 (> (length math-comp-buf) 0)
1232 (let ((k (length math-comp-buf)))
1233 (while (not (= (aref math-comp-buf (setq k (1- k))) ?\n)))
1234 (aset math-comp-buf k ? )
1235 (if (and (< (1+ k) (length math-comp-buf))
1236 (= (aref math-comp-buf (1+ k)) ? ))
136211a9 1237 (progn
fdcf8e2b 1238 (aset math-comp-buf (1+ k) ?\n)
136211a9
EZ
1239 (setq prefix " "))
1240 (setq prefix "\n"))))
fdcf8e2b 1241 (concat math-comp-buf prefix str)))))
136211a9
EZ
1242
1243(defun math-comp-to-string-flat-term (c)
1244 (cond ((not (consp c))
fdcf8e2b 1245 (if math-comp-highlight
136211a9 1246 (setq c (math-comp-highlight-string c)))
fdcf8e2b
JB
1247 (setq math-comp-word (if (= (length math-comp-word) 0) c
1248 (concat math-comp-word c))
1249 math-comp-pos (+ math-comp-pos (length c))))
136211a9
EZ
1250
1251 ((eq (car c) 'horiz)
1252 (while (setq c (cdr c))
1253 (math-comp-to-string-flat-term (car c))))
1254
1255 ((eq (car c) 'set)
1256 (if (nth 1 c)
1257 (progn
fdcf8e2b
JB
1258 (setq math-comp-level (1+ math-comp-level))
1259 (if (>= math-comp-level (length math-comp-buf-string))
136211a9
EZ
1260 (setq math-comp-buf-string (vconcat math-comp-buf-string
1261 math-comp-buf-string)
1262 math-comp-buf-margin (vconcat math-comp-buf-margin
1263 math-comp-buf-margin)
1264 math-comp-buf-level (vconcat math-comp-buf-level
1265 math-comp-buf-level)))
fdcf8e2b
JB
1266 (aset math-comp-buf-string math-comp-level "")
1267 (aset math-comp-buf-margin math-comp-level (+ math-comp-pos
136211a9 1268 (or (nth 2 c) 0)))
fdcf8e2b 1269 (aset math-comp-buf-level math-comp-level (nth 1 c)))))
136211a9
EZ
1270
1271 ((eq (car c) 'break)
1272 (if (not calc-line-breaking)
fdcf8e2b
JB
1273 (setq math-comp-buf (concat math-comp-buf math-comp-word)
1274 math-comp-word "")
136211a9 1275 (let ((i 0) str)
fdcf8e2b 1276 (if (and (> math-comp-pos math-comp-full-width)
136211a9
EZ
1277 (progn
1278 (while (progn
1279 (setq str (aref math-comp-buf-string i))
fdcf8e2b 1280 (and (= (length str) 0) (< i math-comp-level)))
136211a9 1281 (setq i (1+ i)))
fdcf8e2b 1282 (or (> (length str) 0) (> (length math-comp-buf) 0))))
136211a9
EZ
1283 (let ((prefix "") mrg wid)
1284 (setq mrg (aref math-comp-buf-margin i))
1285 (if (> mrg 12) ; indenting too far, go back to far left
1286 (let ((j i) (new (if calc-line-numbering 5 1)))
fdcf8e2b 1287 '(while (<= j math-comp-level)
136211a9
EZ
1288 (aset math-comp-buf-margin j
1289 (+ (aref math-comp-buf-margin j) (- new mrg)))
1290 (setq j (1+ j)))
1291 (setq mrg new)))
fdcf8e2b 1292 (setq wid (+ (length str) math-comp-margin))
136211a9 1293 (and (> (length str) 0) (= (aref str 0) ? )
fdcf8e2b
JB
1294 (> (length math-comp-buf) 0)
1295 (let ((k (length math-comp-buf)))
1296 (while (not (= (aref math-comp-buf (setq k (1- k))) ?\n)))
1297 (aset math-comp-buf k ? )
1298 (if (and (< (1+ k) (length math-comp-buf))
1299 (= (aref math-comp-buf (1+ k)) ? ))
136211a9 1300 (progn
fdcf8e2b 1301 (aset math-comp-buf (1+ k) ?\n)
136211a9
EZ
1302 (setq prefix " "))
1303 (setq prefix "\n"))))
fdcf8e2b 1304 (setq math-comp-buf (concat math-comp-buf prefix str "\n"
136211a9 1305 (make-string mrg ? ))
fdcf8e2b
JB
1306 math-comp-pos (+ math-comp-pos (- mrg wid))
1307 math-comp-margin mrg)
136211a9 1308 (aset math-comp-buf-string i "")
fdcf8e2b 1309 (while (<= (setq i (1+ i)) math-comp-level)
136211a9
EZ
1310 (if (> (aref math-comp-buf-margin i) wid)
1311 (aset math-comp-buf-margin i
1312 (+ (aref math-comp-buf-margin i)
1313 (- mrg wid))))))))
fdcf8e2b
JB
1314 (if (and (= (nth 1 c) (aref math-comp-buf-level math-comp-level))
1315 (< math-comp-pos (+ (aref math-comp-buf-margin math-comp-level) 2)))
136211a9 1316 () ; avoid stupid breaks, e.g., "1 +\n really_long_expr"
fdcf8e2b 1317 (let ((str (aref math-comp-buf-string math-comp-level)))
136211a9 1318 (setq str (if (= (length str) 0)
fdcf8e2b
JB
1319 math-comp-word
1320 (concat str math-comp-word))
1321 math-comp-word "")
1322 (while (< (nth 1 c) (aref math-comp-buf-level math-comp-level))
1323 (setq math-comp-level (1- math-comp-level))
1324 (or (= (length (aref math-comp-buf-string math-comp-level)) 0)
1325 (setq str (concat (aref math-comp-buf-string math-comp-level)
136211a9 1326 str))))
fdcf8e2b 1327 (aset math-comp-buf-string math-comp-level str)))))
136211a9
EZ
1328
1329 ((eq (car c) 'tag)
1330 (cond ((eq (nth 1 c) math-comp-selected)
fdcf8e2b 1331 (let ((math-comp-highlight (not calc-show-selections)))
136211a9
EZ
1332 (math-comp-to-string-flat-term (nth 2 c))))
1333 ((eq (nth 1 c) t)
fdcf8e2b 1334 (let ((math-comp-highlight nil))
136211a9
EZ
1335 (math-comp-to-string-flat-term (nth 2 c))))
1336 (t (math-comp-to-string-flat-term (nth 2 c)))))
1337
bf77c646 1338 (t (math-comp-to-string-flat-term (nth 2 c)))))
136211a9
EZ
1339
1340(defun math-comp-highlight-string (s)
1341 (setq s (copy-sequence s))
1342 (let ((i (length s)))
1343 (while (>= (setq i (1- i)) 0)
1344 (or (memq (aref s i) '(32 ?\n))
1345 (aset s i (if calc-show-selections ?\. ?\#)))))
bf77c646 1346 s)
136211a9 1347
fdcf8e2b
JB
1348
1349;; The variable math-comp-sel-tag is local to calc-find-selected-part
1350;; in calc-sel.el, but is used by math-comp-sel-flat-term and
1351;; math-comp-add-string-sel, which are called (indirectly) by
1352;; calc-find-selected-part.
1353(defvar math-comp-sel-tag)
1354
136211a9
EZ
1355(defun math-comp-sel-flat-term (c)
1356 (cond ((not (consp c))
fdcf8e2b 1357 (setq math-comp-pos (+ math-comp-pos (length c))))
136211a9
EZ
1358 ((memq (car c) '(set break)))
1359 ((eq (car c) 'horiz)
1360 (while (and (setq c (cdr c)) (< math-comp-sel-cpos 1000000))
1361 (math-comp-sel-flat-term (car c))))
1362 ((eq (car c) 'tag)
fdcf8e2b 1363 (if (<= math-comp-pos math-comp-sel-cpos)
136211a9
EZ
1364 (progn
1365 (math-comp-sel-flat-term (nth 2 c))
fdcf8e2b 1366 (if (> math-comp-pos math-comp-sel-cpos)
136211a9
EZ
1367 (setq math-comp-sel-tag c
1368 math-comp-sel-cpos 1000000)))
1369 (math-comp-sel-flat-term (nth 2 c))))
bf77c646 1370 (t (math-comp-sel-flat-term (nth 2 c)))))
136211a9
EZ
1371
1372
1373;;; Simplify a composition to a canonical form consisting of
1374;;; (vleft n "string" "string" "string" ...)
1375;;; where 0 <= n < number-of-strings.
1376
fdcf8e2b
JB
1377;; The variables math-comp-base, math-comp-hgt, math-comp-tag,
1378;; math-comp-hpos and math-comp-vpos are local to math-comp-simplify,
1379;; but are used by math-comp-add-string (math-comp-base, math-comp-hgt),
1380;; math-comp-add-string-sel (math-comp-tag) and math-comp-simplify-term
1381;; (math-comp-tag, math-comp-vpos, math-comp-hpos), which are called by
1382;; math-comp-simplify.
1383(defvar math-comp-base)
1384(defvar math-comp-hgt)
1385(defvar math-comp-tag)
1386(defvar math-comp-hpos)
1387(defvar math-comp-vpos)
1388
136211a9 1389(defun math-comp-simplify (c full-width)
fdcf8e2b
JB
1390 (let ((math-comp-buf (list ""))
1391 (math-comp-base 0)
1392 (math-comp-hgt 1)
1393 (math-comp-hpos 0)
1394 (math-comp-vpos 0)
1395 (math-comp-highlight (and math-comp-selected calc-show-selections))
1396 (math-comp-tag nil))
136211a9 1397 (math-comp-simplify-term c)
fdcf8e2b 1398 (cons 'vleft (cons math-comp-base math-comp-buf))))
136211a9
EZ
1399
1400(defun math-comp-add-string (s h v)
1401 (and (> (length s) 0)
fdcf8e2b 1402 (let ((vv (+ v math-comp-base)))
136211a9
EZ
1403 (if math-comp-sel-hpos
1404 (math-comp-add-string-sel h vv (length s) 1)
1405 (if (< vv 0)
fdcf8e2b
JB
1406 (setq math-comp-buf (nconc (make-list (- vv) "") math-comp-buf)
1407 math-comp-base (- v)
1408 math-comp-hgt (- math-comp-hgt vv)
136211a9 1409 vv 0)
fdcf8e2b
JB
1410 (if (>= vv math-comp-hgt)
1411 (setq math-comp-buf (nconc math-comp-buf
1412 (make-list (1+ (- vv math-comp-hgt)) ""))
1413 math-comp-hgt (1+ vv))))
1414 (let ((str (nthcdr vv math-comp-buf)))
136211a9
EZ
1415 (setcar str (concat (car str)
1416 (make-string (- h (length (car str))) 32)
fdcf8e2b 1417 (if math-comp-highlight
136211a9 1418 (math-comp-highlight-string s)
bf77c646 1419 s))))))))
136211a9
EZ
1420
1421(defun math-comp-add-string-sel (x y w h)
1422 (if (and (<= y math-comp-sel-vpos)
1423 (> (+ y h) math-comp-sel-vpos)
1424 (<= x math-comp-sel-hpos)
1425 (> (+ x w) math-comp-sel-hpos))
fdcf8e2b 1426 (setq math-comp-sel-tag math-comp-tag
bf77c646 1427 math-comp-sel-vpos 10000)))
136211a9
EZ
1428
1429(defun math-comp-simplify-term (c)
1430 (cond ((stringp c)
fdcf8e2b
JB
1431 (math-comp-add-string c math-comp-hpos math-comp-vpos)
1432 (setq math-comp-hpos (+ math-comp-hpos (length c))))
136211a9
EZ
1433 ((memq (car c) '(set break))
1434 nil)
1435 ((eq (car c) 'horiz)
1436 (while (setq c (cdr c))
1437 (math-comp-simplify-term (car c))))
1438 ((memq (car c) '(vleft vcent vright))
fdcf8e2b 1439 (let* ((math-comp-vpos (+ (- math-comp-vpos (nth 1 c))
136211a9
EZ
1440 (1- (math-comp-ascent (nth 2 c)))))
1441 (widths (mapcar 'math-comp-width (cdr (cdr c))))
1442 (maxwid (apply 'max widths))
1443 (bias (cond ((eq (car c) 'vleft) 0)
1444 ((eq (car c) 'vcent) 1)
1445 (t 2))))
1446 (setq c (cdr c))
1447 (while (setq c (cdr c))
1448 (if (eq (car-safe (car c)) 'rule)
1449 (math-comp-add-string (make-string maxwid (nth 1 (car c)))
fdcf8e2b
JB
1450 math-comp-hpos math-comp-vpos)
1451 (let ((math-comp-hpos (+ math-comp-hpos (/ (* bias (- maxwid
136211a9
EZ
1452 (car widths)))
1453 2))))
1454 (math-comp-simplify-term (car c))))
1455 (and (cdr c)
fdcf8e2b 1456 (setq math-comp-vpos (+ math-comp-vpos
136211a9
EZ
1457 (+ (math-comp-descent (car c))
1458 (math-comp-ascent (nth 1 c))))
1459 widths (cdr widths))))
fdcf8e2b 1460 (setq math-comp-hpos (+ math-comp-hpos maxwid))))
136211a9
EZ
1461 ((eq (car c) 'supscr)
1462 (let* ((asc (or 1 (math-comp-ascent (nth 1 c))))
1463 (desc (math-comp-descent (nth 2 c)))
1464 (oldh (prog1
fdcf8e2b 1465 math-comp-hpos
136211a9 1466 (math-comp-simplify-term (nth 1 c))))
fdcf8e2b 1467 (math-comp-vpos (- math-comp-vpos (+ asc desc))))
136211a9
EZ
1468 (math-comp-simplify-term (nth 2 c))
1469 (if math-comp-sel-hpos
1470 (math-comp-add-string-sel oldh
fdcf8e2b 1471 (- math-comp-vpos
136211a9
EZ
1472 -1
1473 (math-comp-ascent (nth 2 c)))
fdcf8e2b 1474 (- math-comp-hpos oldh)
136211a9
EZ
1475 (math-comp-height c)))))
1476 ((eq (car c) 'subscr)
1477 (let* ((asc (math-comp-ascent (nth 2 c)))
1478 (desc (math-comp-descent (nth 1 c)))
fdcf8e2b 1479 (oldv math-comp-vpos)
136211a9 1480 (oldh (prog1
fdcf8e2b 1481 math-comp-hpos
136211a9 1482 (math-comp-simplify-term (nth 1 c))))
fdcf8e2b 1483 (math-comp-vpos (+ math-comp-vpos (+ asc desc))))
136211a9
EZ
1484 (math-comp-simplify-term (nth 2 c))
1485 (if math-comp-sel-hpos
1486 (math-comp-add-string-sel oldh oldv
fdcf8e2b 1487 (- math-comp-hpos oldh)
136211a9
EZ
1488 (math-comp-height c)))))
1489 ((eq (car c) 'tag)
1490 (cond ((eq (nth 1 c) math-comp-selected)
fdcf8e2b 1491 (let ((math-comp-highlight (not calc-show-selections)))
136211a9
EZ
1492 (math-comp-simplify-term (nth 2 c))))
1493 ((eq (nth 1 c) t)
fdcf8e2b 1494 (let ((math-comp-highlight nil))
136211a9 1495 (math-comp-simplify-term (nth 2 c))))
fdcf8e2b 1496 (t (let ((math-comp-tag c))
bf77c646 1497 (math-comp-simplify-term (nth 2 c))))))))
136211a9
EZ
1498
1499
1500;;; Measuring a composition.
1501
1502(defun math-comp-first-char (c)
1503 (cond ((stringp c)
1504 (and (> (length c) 0)
1505 (elt c 0)))
1506 ((memq (car c) '(horiz subscr supscr))
1507 (while (and (setq c (cdr c))
1508 (math-comp-is-null (car c))))
1509 (and c (math-comp-first-char (car c))))
1510 ((eq (car c) 'tag)
bf77c646 1511 (math-comp-first-char (nth 2 c)))))
136211a9
EZ
1512
1513(defun math-comp-first-string (c)
1514 (cond ((stringp c)
1515 (and (> (length c) 0)
1516 c))
1517 ((eq (car c) 'horiz)
1518 (while (and (setq c (cdr c))
1519 (math-comp-is-null (car c))))
1520 (and c (math-comp-first-string (car c))))
1521 ((eq (car c) 'tag)
bf77c646 1522 (math-comp-first-string (nth 2 c)))))
136211a9
EZ
1523
1524(defun math-comp-last-char (c)
1525 (cond ((stringp c)
1526 (and (> (length c) 0)
1527 (elt c (1- (length c)))))
1528 ((eq (car c) 'horiz)
1529 (let ((c (reverse (cdr c))))
1530 (while (and c (math-comp-is-null (car c)))
1531 (setq c (cdr c)))
1532 (and c (math-comp-last-char (car c)))))
1533 ((eq (car c) 'tag)
bf77c646 1534 (math-comp-last-char (nth 2 c)))))
136211a9
EZ
1535
1536(defun math-comp-is-null (c)
1537 (cond ((stringp c) (= (length c) 0))
1538 ((memq (car c) '(horiz subscr supscr))
1539 (while (and (setq c (cdr c))
1540 (math-comp-is-null (car c))))
1541 (null c))
1542 ((eq (car c) 'tag)
1543 (math-comp-is-null (nth 2 c)))
bf77c646 1544 ((memq (car c) '(set break)) t)))
136211a9
EZ
1545
1546(defun math-comp-width (c)
1547 (cond ((not (consp c)) (length c))
1548 ((memq (car c) '(horiz subscr supscr))
1549 (let ((accum 0))
1550 (while (setq c (cdr c))
1551 (setq accum (+ accum (math-comp-width (car c)))))
1552 accum))
1553 ((memq (car c) '(vcent vleft vright))
1554 (setq c (cdr c))
1555 (let ((accum 0))
1556 (while (setq c (cdr c))
1557 (setq accum (max accum (math-comp-width (car c)))))
1558 accum))
1559 ((eq (car c) 'tag)
1560 (math-comp-width (nth 2 c)))
bf77c646 1561 (t 0)))
136211a9
EZ
1562
1563(defun math-comp-height (c)
1564 (if (stringp c)
1565 1
bf77c646 1566 (+ (math-comp-ascent c) (math-comp-descent c))))
136211a9
EZ
1567
1568(defun math-comp-ascent (c)
1569 (cond ((not (consp c)) 1)
1570 ((eq (car c) 'horiz)
1571 (let ((accum 0))
1572 (while (setq c (cdr c))
1573 (setq accum (max accum (math-comp-ascent (car c)))))
1574 accum))
1575 ((memq (car c) '(vcent vleft vright))
1576 (if (> (nth 1 c) 0) (1+ (nth 1 c)) 1))
1577 ((eq (car c) 'supscr)
1578 (max (math-comp-ascent (nth 1 c)) (1+ (math-comp-height (nth 2 c)))))
1579 ((eq (car c) 'subscr)
1580 (math-comp-ascent (nth 1 c)))
1581 ((eq (car c) 'tag)
1582 (math-comp-ascent (nth 2 c)))
bf77c646 1583 (t 1)))
136211a9
EZ
1584
1585(defun math-comp-descent (c)
1586 (cond ((not (consp c)) 0)
1587 ((eq (car c) 'horiz)
1588 (let ((accum 0))
1589 (while (setq c (cdr c))
1590 (setq accum (max accum (math-comp-descent (car c)))))
1591 accum))
1592 ((memq (car c) '(vcent vleft vright))
1593 (let ((accum (- (nth 1 c))))
1594 (setq c (cdr c))
1595 (while (setq c (cdr c))
1596 (setq accum (+ accum (math-comp-height (car c)))))
1597 (max (1- accum) 0)))
1598 ((eq (car c) 'supscr)
1599 (math-comp-descent (nth 1 c)))
1600 ((eq (car c) 'subscr)
1601 (+ (math-comp-descent (nth 1 c)) (math-comp-height (nth 2 c))))
1602 ((eq (car c) 'tag)
1603 (math-comp-descent (nth 2 c)))
bf77c646 1604 (t 0)))
136211a9
EZ
1605
1606(defun calcFunc-cwidth (a &optional prec)
1607 (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
bf77c646 1608 (math-comp-width (math-compose-expr a (or prec 0))))
136211a9
EZ
1609
1610(defun calcFunc-cheight (a &optional prec)
1611 (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1612 (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
1613 (memq (length a) '(2 3))
1614 (eq (nth 1 a) 0))
1615 0
bf77c646 1616 (math-comp-height (math-compose-expr a (or prec 0)))))
136211a9
EZ
1617
1618(defun calcFunc-cascent (a &optional prec)
1619 (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1620 (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
1621 (memq (length a) '(2 3))
1622 (eq (nth 1 a) 0))
1623 0
bf77c646 1624 (math-comp-ascent (math-compose-expr a (or prec 0)))))
136211a9
EZ
1625
1626(defun calcFunc-cdescent (a &optional prec)
1627 (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
bf77c646 1628 (math-comp-descent (math-compose-expr a (or prec 0))))
136211a9
EZ
1629
1630
1631;;; Convert a simplified composition into string form.
1632
1633(defun math-vert-comp-to-string (c)
1634 (if (stringp c)
1635 c
bf77c646 1636 (math-vert-comp-to-string-step (cdr (cdr c)))))
136211a9
EZ
1637
1638(defun math-vert-comp-to-string-step (c)
1639 (if (cdr c)
1640 (concat (car c) "\n" (math-vert-comp-to-string-step (cdr c)))
bf77c646 1641 (car c)))
136211a9
EZ
1642
1643
1644;;; Convert a composition to a string in "raw" form (for debugging).
1645
1646(defun math-comp-to-string-raw (c indent)
1647 (cond ((or (not (consp c)) (eq (car c) 'set))
1648 (prin1-to-string c))
1649 ((null (cdr c))
1650 (concat "(" (symbol-name (car c)) ")"))
1651 (t
1652 (let ((next-indent (+ indent 2 (length (symbol-name (car c))))))
1653 (concat "("
1654 (symbol-name (car c))
1655 " "
1656 (math-comp-to-string-raw (nth 1 c) next-indent)
1657 (math-comp-to-string-raw-step (cdr (cdr c))
1658 next-indent)
bf77c646 1659 ")")))))
136211a9
EZ
1660
1661(defun math-comp-to-string-raw-step (cl indent)
1662 (if cl
1663 (concat "\n"
1664 (make-string indent 32)
1665 (math-comp-to-string-raw (car cl) indent)
1666 (math-comp-to-string-raw-step (cdr cl) indent))
bf77c646 1667 ""))
136211a9 1668
cfd31ee4
JB
1669(provide 'calccomp)
1670
cbee283d 1671;; arch-tag: 7c45d10a-a286-4dab-af49-7ae8989fbf78
bf77c646 1672;;; calccomp.el ends here