1 ;;; calccomp.el --- composition functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004, 2005,
4 ;; 2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc.
6 ;; Author: David Gillespie <daveg@synaptics.com>
7 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
9 ;; This file is part of GNU Emacs.
11 ;; GNU Emacs is free software: you can redistribute it and/or modify
12 ;; it under the terms of the GNU General Public License as published by
13 ;; the Free Software Foundation, either version 3 of the License, or
14 ;; (at your option) any later version.
16 ;; GNU Emacs is distributed in the hope that it will be useful,
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.
21 ;; You should have received a copy of the GNU General Public License
22 ;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
28 ;; This file is autoloaded from calc-ext.el.
33 ;;; A "composition" has one of the following forms:
35 ;;; "string" A literal string
37 ;;; (horiz C1 C2 ...) Horizontally abutted sub-compositions
39 ;;; (set LEVEL OFF) Set left margin + offset for line-break level
40 ;;; (break LEVEL) A potential line-break point
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.
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
51 ;;; (tag X C) Composition C corresponds to sub-expression X
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)
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
62 (defvar math-comp-vector-prec)
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)
71 (defun math-compose-var (a)
73 (if (and math-compose-hash-args
74 (let ((p calc-arg-values))
76 (while (and p (not (equal (car p) a)))
77 (setq p (and (eq math-compose-hash-args t) (cdr p))
80 (if (eq math-compose-hash-args 1)
83 (setq sn (symbol-name (nth 1 a)))
84 (if (memq calc-language calc-lang-allow-percentsigns)
85 (setq sn (math-to-percentsigns sn)))
86 (if (memq calc-language calc-lang-allow-underscores)
87 (setq sn (math-to-underscores sn)))
90 (defun math-compose-expr (a prec)
91 (let ((math-compose-level (1+ math-compose-level))
92 (math-expr-opers (math-expr-ops))
95 ((or (and (eq a math-comp-selected) a)
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)))
103 ((setq spfn (assq (car-safe a)
104 (get calc-language 'math-special-function-table)))
105 (setq spfn (cdr spfn))
107 (funcall (car spfn) a spfn)
110 (if (or (eq (car-safe a) 'frac)
111 (and (nth 1 calc-frac-format) (Math-integerp a)))
114 (not (memq calc-language
115 '(flat big unform))))
116 (let ((aa (math-adjust-fraction a))
117 (calc-frac-format nil))
118 (math-compose-expr (list '/
119 (if (memq calc-language
120 calc-lang-slash-idiv)
121 (math-float (nth 1 aa))
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)
130 (if (math-negp (nth 1 aa))
134 (math-abs (nth 1 aa)))
136 (math-format-number (nth 2 aa))))))
137 (if (= calc-number-radix 10)
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)
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)
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))
159 (while (string-match (if (> calc-number-radix 14)
160 "\\([0-9]+\\)#\\([0-9a-zA-Z., ]+\\)"
161 "\\([0-9]+\\)#\\([0-9a-dA-D., ]+\\)")
163 (setq c (nconc c (list (substring s 0 (match-beginning 0))
165 (math-match-substring s 2)
166 (math-match-substring s 1))))
167 s (substring s (match-end 0))))
169 "\\*\\([0-9.]+\\)\\^\\(-?[0-9]+\\)\\()?\\)\\'" s)
171 (substring s 0 (match-beginning 0)) " "
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))
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))))))))
194 (let* ((math-comp-left-bracket (if calc-vector-brackets
195 (substring calc-vector-brackets 0 1) ""))
196 (math-comp-right-bracket (if calc-vector-brackets
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))
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
204 (math-vector-no-parens a))
205 (memq 'P calc-matrix-brackets)) 0 1000))
206 (math-comp-just (cond ((eq calc-matrix-just 'right) 'vright)
207 ((eq calc-matrix-just 'center) 'vcent)
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)))
217 (setq math-comp-vector-prec (if (or (and calc-vector-commas
218 (math-vector-no-parens
220 (memq 'P calc-matrix-brackets))
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))
228 (let* ((rows (1- (length a)))
229 (cols (1- (length (nth 1 a))))
230 (base (/ (1- rows) 2))
231 (calc-language 'flat))
233 (list (append '(vleft)
235 (list (concat (and outer-brackets
236 (concat math-comp-left-bracket
239 (concat math-comp-left-bracket
242 (concat (and outer-brackets
246 math-comp-left-bracket
248 (math-compose-matrix (cdr a) 1 cols base)
249 (list (append '(vleft)
254 math-comp-right-bracket
257 (if (and outer-brackets
263 math-comp-right-bracket))
267 math-comp-right-bracket)))))))))
268 (if (and calc-display-strings
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))
277 (calc-break-vectors nil))
279 (cons 'vleft (cons base
282 (if full rows 3) t)))))
283 (if (or calc-full-vectors (< (length a) 7))
285 (setq spfn (get calc-language 'math-matrix-formatter))
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))
295 math-comp-left-bracket
296 (math-compose-vector (list (nth 1 a) (nth 2 a) (nth 3 a))
297 (concat math-comp-comma " ")
298 math-comp-vector-prec)
300 (if (setq spfn (get calc-language 'math-dots))
304 (list 'break math-compose-level)
305 (math-compose-expr (nth (1- (length a)) a)
306 (if (equal math-comp-comma "") 1000 0))
307 math-comp-right-bracket)))))))
308 ((eq (car a) 'incomplete)
310 (cond ((eq (nth 1 a) 'vec)
312 (math-compose-vector (cdr (cdr a)) ", " 0)
314 ((eq (nth 1 a) 'cplx)
316 (math-compose-vector (cdr (cdr a)) ", " 0)
318 ((eq (nth 1 a) 'polar)
320 (math-compose-vector (cdr (cdr a)) "; " 0)
322 ((eq (nth 1 a) 'intv)
324 (if (memq (nth 2 a) '(0 1)) "(" "[")
325 (math-compose-vector (cdr (cdr (cdr a))) " .. " 0)
328 (cond ((eq (nth 1 a) 'vec) "[ ...")
329 ((eq (nth 1 a) 'intv)
330 (if (memq (nth 2 a) '(0 1)) "( ..." "[ ..."))
333 (let ((v (rassq (nth 2 a) math-expr-variable-mapping)))
335 (symbol-name (car v))
336 (if (setq spfn (get calc-language 'math-var-formatter))
337 (funcall spfn a prec)
338 (math-compose-var a)))))
341 (if (memq (nth 1 a) '(0 1)) "(" "[")
342 (math-compose-expr (nth 2 a) 0)
344 (math-compose-expr (nth 3 a) 0)
345 (if (memq (nth 1 a) '(0 2)) ")" "]")))
347 (if (eq (car calc-date-format) 'X)
349 (concat "<" (math-format-date a) ">")))
350 ((and (eq (car a) 'calcFunc-subscr)
351 (setq spfn (get calc-language 'math-compose-subscr)))
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))))
368 (list 'subscr a1 a2))))
369 ((and (eq (car a) '^)
370 (eq calc-language 'big))
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)
380 (calc-number-radix 10)
381 (calc-twos-complement-mode nil))
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))
387 (math-compose-expr (nth 1 a) 0)))
388 (a2 (let ((calc-language (if (memq (car-safe (nth 2 a)) '(/ frac))
390 (math-compose-expr (nth 2 a) 0))))
392 (math-comp-height a1)
394 ((and (eq (car a) 'calcFunc-lambda)
396 (memq calc-language '(nil flat big)))
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)))
404 (list (math-compose-vector
405 (nreverse (cdr (reverse (cdr a)))) ", " 0)
408 (list (math-compose-expr (nth (1- (length a)) a) 0)
410 ((and (eq (car a) 'calcFunc-string)
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)
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) ")")
424 (s (math-vector-to-string (nth 1 a) nil))
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)
432 (setq c (nreverse (cons s c)))
434 (setq c (cons (list 'set math-compose-level 2) c)))
436 ((and (eq (car a) 'calcFunc-cprec)
437 (not (eq calc-language 'unform))
439 (integerp (nth 2 a)))
440 (let ((c (math-compose-expr (nth 1 a) -1)))
441 (if (> prec (nth 2 a))
442 (if (setq spfn (get calc-language 'math-big-parens))
443 (list 'horiz (car spfn) c (cdr spfn))
444 (list 'horiz "(" 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))
452 (and (math-vectorp (nth 3 a))
453 (math-vector-is-string (nth 3 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))
461 (math-compose-vector (cdr (nth 1 a))
462 (math-vector-to-string sep nil)
464 (cons 'horiz (mapcar (function
466 (if (eq (car-safe x) 'calcFunc-bstring)
469 x (or bprec cprec prec))
471 (math-compose-expr x (or cprec prec)))))
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))
478 (integerp (nth 2 a))))
481 (prec (or (nth 2 a) prec))
484 (let ((b nil) (cc nil) a d)
485 (if (and (memq (car-safe x) '(calcFunc-cbase
488 (memq (length x) '(1 2)))
491 (if (and (eq (car-safe x) 'calcFunc-crule)
492 (memq (length x) '(1 2))
494 (and (math-vectorp (nth 1 x))
495 (= (length (nth 1 x)) 2)
496 (math-vector-is-string
498 (and (natnump (nth 1 x))
499 (<= (nth 1 x) 255))))
502 (if (math-vectorp (nth 1 x))
503 (aref (math-vector-to-string
506 (or (and (memq (car-safe x) '(calcFunc-cvspace
509 (memq (length x) '(2 3))
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)
519 (if (eq b 'calcFunc-cbbase)
520 (setq base (+ v a d -1)))))
524 (setq c (delq nil c))
526 (cons (if (eq (car a) 'calcFunc-cvert) 'vcent
527 (if (eq (car a) 'calcFunc-clvert) 'vleft 'vright))
530 ((and (memq (car a) '(calcFunc-csup calcFunc-csub))
531 (not (eq calc-language 'unform))
532 (memq (length a) '(3 4))
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))
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))
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))
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))
567 (ca (math-comp-ascent c))
568 (cd (math-comp-descent c)))
570 (cons (if (eq (car a) 'calcFunc-ctspace)
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)
578 (setq spfn (get calc-language 'math-evalto))
579 (= math-compose-level (if math-comp-tagged 2 1))
583 (math-compose-expr (nth 1 a) 0)
585 (math-compose-expr (nth 2 a) 0)))
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)))))
592 (or (= (length a) 3) (eq (car a) 'calcFunc-if))
595 ((> prec (or (nth 4 op) (min (nth 2 op) (nth 3 op))))
596 (if (and (memq calc-language '(tex latex))
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)
603 (if (eq calc-language 'eqn)
604 (if (or (eq (car-safe a) '/)
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)
612 (list 'horiz "(" (math-compose-expr a 0) ")"))))
613 ((and (memq calc-language '(tex latex))
614 (memq (car a) '(/ calcFunc-choose calcFunc-evalto))
616 (list 'horiz "{" (math-compose-expr a -1) "}"))
617 ((eq (car a) 'calcFunc-if)
619 (math-compose-expr (nth 1 a) (nth 2 op))
621 (math-compose-expr (nth 2 a) 0)
623 (math-compose-expr (nth 3 a) (nth 3 op))))
625 (let* ((math-comp-tagged (and math-comp-tagged
628 (setlev (if (= prec (min (nth 2 op) (nth 3 op)))
630 (setq math-compose-level
631 (1- 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 ")")))
639 (and (memq calc-language '(tex latex))
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)
653 (eq calc-language 'big)
655 (nextc (or (math-comp-first-char rhs)
656 (and (memq (car-safe nextt)
661 (eq calc-language 'big)
664 (or (and (>= nextc ?a) (<= nextc ?z))
665 (and (>= nextc ?A) (<= nextc ?Z))
666 (and (>= nextc ?α) (<= nextc ?ω))
667 (and (>= nextc ?Α) (<= nextc ?Ω))
668 (and (>= nextc ?0) (<= nextc ?9))
669 (memq nextc '(?. ?_ ?#
674 (math-comp-first-string
676 (not (and (eq (car-safe prevt) 'var)
681 (list 'break math-compose-level)
687 (list 'break math-compose-level)
688 (if (or (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))))
698 (if (and (eq calc-language 'big)
699 (equal (car op) "=>"))
701 (concat " " (car op) " ")))
703 ((and op (= (length a) 2) (= (nth 3 op) -1))
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
708 (if (and (memq calc-language '(tex latex))
709 (not (math-tex-expr-is-flat a)))
710 (list 'horiz "\\left( "
711 (math-compose-expr a -1)
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)
721 (list 'horiz "(" (math-compose-expr a 0) ")"))))
723 (let ((lhs (math-compose-expr (nth 1 a) (nth 2 op))))
726 (if (or (> (length (car op)) 1)
727 (not (math-comp-is-flat lhs)))
728 (concat " " (car op))
730 ((and op (= (length a) 2) (= (nth 2 op) -1))
733 (let ((lr (and (memq calc-language '(tex latex))
734 (not (math-tex-expr-is-flat (nth 1 a))))))
737 (if (string-match "\\`u\\([^a-zA-Zα-ωΑ-Ω]\\)\\'" (car op))
738 (substring (car op) 1)
740 (if (or lr (> (length (car op)) 2)) " " "")
741 (math-compose-expr (nth 1 a) -1)
742 (if (or lr (> (length (car op)) 2)) " " "")
744 (car (nth 1 (memq op math-expr-opers))))))
745 ((> prec (or (nth 4 op) (nth 3 op)))
746 (if (and (memq calc-language '(tex latex))
747 (not (math-tex-expr-is-flat a)))
748 (list 'horiz "\\left( "
749 (math-compose-expr a -1)
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)
759 (list 'horiz "(" (math-compose-expr a 0) ")"))))
761 (let ((rhs (math-compose-expr (nth 1 a) (nth 3 op))))
763 (let ((ops (if (string-match "\\`u\\([^a-zA-Zα-ωΑ-Ω]\\)\\'"
765 (substring (car op) 1)
767 (if (or (> (length ops) 1)
768 (not (math-comp-is-flat 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 )
783 ( latex . math-compose-latex )
784 ( eqn . math-compose-eqn )
785 ( yacas . math-compose-yacas )
786 ( maxima . math-compose-maxima )
787 ( giac . math-compose-giac )
788 ( math . math-compose-math )
789 ( maple . math-compose-maple ))))
790 (setq op (get (car a) (cdr op)))
791 (funcall op a prec)))
793 (let* ((func (car a))
794 (func2 (assq func '(( mod . calcFunc-makemod )
795 ( sdev . calcFunc-sdev )
802 ( neg . calcFunc-neg )
803 ( | . calcFunc-vconcat ))))
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
811 "\\`calcFunc-\\([a-zA-Zα-ωΑ-Ω0-9']+\\)\\'"
813 (math-match-substring (symbol-name func) 1)
814 (symbol-name func))))
815 (if (memq calc-language calc-lang-allow-percentsigns)
816 (setq func (math-to-percentsigns func)))
817 (if (memq calc-language calc-lang-allow-underscores)
818 (setq func (math-to-underscores func)))
819 (if (setq spfn (get calc-language 'math-func-formatter))
820 (funcall spfn func a)
822 (list 'horiz func calc-function-open
823 (math-compose-vector (cdr a) ", " 0)
824 calc-function-close))))))))))
827 (defun math-prod-first-term (x)
828 (while (eq (car-safe x) '*)
832 (defun math-prod-last-term (x)
833 (while (eq (car-safe x) '*)
837 (defun math-compose-vector (a sep prec)
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))
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)
854 (defun math-vector-no-parens (a)
856 (not (eq (car-safe (nth 1 a)) '*))))
858 (defun math-compose-matrix (a col cols base)
861 (while (<= (setq col (1+ col)) cols)
862 (setq res (cons (cons math-comp-just
869 math-comp-vector-prec)
873 math-comp-comma-spc " ")))))
878 (defun math-compose-rows (a count first)
882 (math-compose-rows (cdr a) -1 nil)
884 (let ((mdots (get calc-language 'math-dots)))
889 (math-compose-rows (cdr a) -1 nil)))
891 (if first (concat math-comp-left-bracket " ") " ")
892 (math-compose-expr (car a) math-comp-vector-prec)
894 (math-compose-rows (cdr a) (1- count) nil)))
896 (if first (concat math-comp-left-bracket " ") " ")
897 (math-compose-expr (car a) math-comp-vector-prec)
898 (concat " " math-comp-right-bracket)))))
900 (defun math-vector-is-string (a)
901 (while (and (setq a (cdr a))
902 (or (and (natnump (car a))
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)))))
910 (defconst math-vector-to-string-chars '( ( ?\" . "\\\"" )
921 (defun math-vector-to-string (a &optional quoted)
922 (setq a (concat (mapcar (function (lambda (x) (if (consp x) (nth 1 x) x)))
924 (if (string-match "[\000-\037\177\\\"]" a)
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"))
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)
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)))
945 (defun math-to-underscores (x)
946 (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x)
948 (concat (math-match-substring x 1) "_" (math-match-substring x 2)))
951 (defun math-to-percentsigns (x)
952 (if (string-match "\\`\\(.*\\)o'o\\(.*\\)\\'" x)
954 (concat (math-match-substring x 1) "%" (math-match-substring x 2)))
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))
962 (while (and (setq a (cdr a))
963 (math-tex-expr-is-flat (car a))))
965 (and (memq (car a) '(^ calcFunc-subscr))
966 (math-tex-expr-is-flat (nth 1 a)))))
968 (put 'calcFunc-log 'math-compose-big 'math-compose-log)
969 (defun math-compose-log (a prec)
970 (and (= (length a) 3)
973 (let ((calc-language 'flat))
974 (math-compose-expr (nth 2 a) 1000)))
976 (math-compose-expr (nth 1 a) 1000)
979 (put 'calcFunc-log10 'math-compose-big 'math-compose-log10)
980 (defun math-compose-log10 (a prec)
981 (and (= (length a) 2)
983 (list 'subscr "log" "10")
985 (math-compose-expr (nth 1 a) 1000)
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)
991 (when (= (length a) 3)
992 (math-compose-expr (list '/
993 (list 'calcFunc-choriz
995 '(calcFunc-string (vec ?d))
997 (list 'calcFunc-choriz
999 '(calcFunc-string (vec ?d))
1003 (put 'calcFunc-sqrt 'math-compose-big 'math-compose-sqrt)
1004 (defun math-compose-sqrt (a prec)
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))
1010 (w (math-comp-width c)))
1013 (concat (if (= h 1) " " " ")
1014 (make-string (+ w 2) ?\_))
1018 (append (list 'vleft (1- a))
1019 (make-list (1- h) " |")
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)))
1031 (math-comp-height a1)
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
1048 (math-build-var-name
1051 (nth 1 (nth 2 a)))))
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))))
1058 (append (list 'vcent (if high 3 2))
1059 (and high (list (list 'horiz " " high)))
1065 (and low (list (list 'horiz low " "))))
1069 (list 'horiz " d" var))
1070 (if parens ")" "")))))
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))))
1081 (if (memq prec '(180 201)) "(" "")
1082 (append (list 'vcent (if high 3 2))
1083 (and high (list high))
1090 (list (list 'horiz var " = " low))
1092 (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod))
1095 (if (memq prec '(180 201)) ")" "")))))
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))))
1106 (if (memq prec '(196 201)) "(" "")
1107 (append (list 'vcent (if high 3 2))
1108 (and high (list high))
1114 (list (list 'horiz var " = " low))
1116 (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod))
1119 (if (memq prec '(196 201)) ")" "")))))
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..
1125 (defvar math-svo-wid)
1126 (defvar math-svo-off)
1128 (defun math-stack-value-offset-fancy ()
1129 (let ((cwid (+ (math-comp-width math-svo-c))))
1130 (cond ((eq calc-display-just 'right)
1131 (if calc-display-origin
1132 (setq math-svo-wid (max calc-display-origin 5))
1133 (if (integerp calc-line-breaking)
1134 (setq math-svo-wid calc-line-breaking)))
1135 (setq math-svo-off (- math-svo-wid cwid
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)
1145 (if calc-display-origin
1147 (setq math-svo-off (- calc-display-origin (/ cwid 2)))
1148 (if (integerp calc-line-breaking)
1149 (setq math-svo-off (min math-svo-off (- calc-line-breaking cwid
1150 (length calc-right-label)))))
1151 (if (>= math-svo-off 0)
1152 (setq math-svo-wid (max math-svo-wid (+ math-svo-off cwid)))))
1153 (if (integerp calc-line-breaking)
1154 (setq math-svo-wid calc-line-breaking))
1155 (setq math-svo-off (/ (- math-svo-wid cwid) 2)))))
1156 (and (integerp calc-line-breaking)
1157 (or (< math-svo-off 0)
1158 (and calc-display-origin
1159 (> calc-line-breaking calc-display-origin)))
1160 (setq math-svo-wid calc-line-breaking))))
1163 ;;; Convert a composition to string form, with embedded \n's if necessary.
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
1172 (math-comp-simplify c width)))))
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))
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))))
1184 ((memq (car c) '(vleft vcent vright))
1185 (and (= (length c) 3)
1187 (math-comp-is-flat (nth 2 c))))
1189 (math-comp-is-flat (nth 2 c)))
1193 ;;; Convert a one-line composition to a string. Break into multiple
1194 ;;; lines if necessary, choosing break points according to the structure
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)
1215 (defun math-comp-to-string-flat (c math-comp-full-width)
1216 (if math-comp-sel-hpos
1217 (let ((math-comp-pos 0))
1218 (math-comp-sel-flat-term c))
1219 (let ((math-comp-buf "")
1222 (math-comp-margin 0)
1223 (math-comp-highlight (and math-comp-selected calc-show-selections))
1224 (math-comp-level -1))
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))
1230 (and (> (length str) 0) (= (aref str 0) ? )
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)) ? ))
1238 (aset math-comp-buf (1+ k) ?\n)
1240 (setq prefix "\n"))))
1241 (concat math-comp-buf prefix str)))))
1243 (defun math-comp-to-string-flat-term (c)
1244 (cond ((not (consp c))
1245 (if math-comp-highlight
1246 (setq c (math-comp-highlight-string c)))
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))))
1251 ((eq (car c) 'horiz)
1252 (while (setq c (cdr c))
1253 (math-comp-to-string-flat-term (car c))))
1258 (setq math-comp-level (1+ math-comp-level))
1259 (if (>= math-comp-level (length math-comp-buf-string))
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)))
1266 (aset math-comp-buf-string math-comp-level "")
1267 (aset math-comp-buf-margin math-comp-level (+ math-comp-pos
1269 (aset math-comp-buf-level math-comp-level (nth 1 c)))))
1271 ((eq (car c) 'break)
1272 (if (not calc-line-breaking)
1273 (setq math-comp-buf (concat math-comp-buf math-comp-word)
1276 (if (and (> math-comp-pos math-comp-full-width)
1279 (setq str (aref math-comp-buf-string i))
1280 (and (= (length str) 0) (< i math-comp-level)))
1282 (or (> (length str) 0) (> (length math-comp-buf) 0))))
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)))
1287 '(while (<= j math-comp-level)
1288 (aset math-comp-buf-margin j
1289 (+ (aref math-comp-buf-margin j) (- new mrg)))
1292 (setq wid (+ (length str) math-comp-margin))
1293 (and (> (length str) 0) (= (aref str 0) ? )
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)) ? ))
1301 (aset math-comp-buf (1+ k) ?\n)
1303 (setq prefix "\n"))))
1304 (setq math-comp-buf (concat math-comp-buf prefix str "\n"
1305 (make-string mrg ? ))
1306 math-comp-pos (+ math-comp-pos (- mrg wid))
1307 math-comp-margin mrg)
1308 (aset math-comp-buf-string i "")
1309 (while (<= (setq i (1+ i)) math-comp-level)
1310 (if (> (aref math-comp-buf-margin i) wid)
1311 (aset math-comp-buf-margin i
1312 (+ (aref math-comp-buf-margin i)
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)))
1316 () ; avoid stupid breaks, e.g., "1 +\n really_long_expr"
1317 (let ((str (aref math-comp-buf-string math-comp-level)))
1318 (setq str (if (= (length str) 0)
1320 (concat str 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)
1327 (aset math-comp-buf-string math-comp-level str)))))
1330 (cond ((eq (nth 1 c) math-comp-selected)
1331 (let ((math-comp-highlight (not calc-show-selections)))
1332 (math-comp-to-string-flat-term (nth 2 c))))
1334 (let ((math-comp-highlight nil))
1335 (math-comp-to-string-flat-term (nth 2 c))))
1336 (t (math-comp-to-string-flat-term (nth 2 c)))))
1338 (t (math-comp-to-string-flat-term (nth 2 c)))))
1340 (defun math-comp-highlight-string (s)
1341 (setq s (copy-sequence s))
1342 (if calc-highlight-selections-with-faces
1343 (if (not calc-show-selections)
1344 (propertize s 'face 'calc-selected-face)
1345 (propertize s 'face 'calc-nonselected-face))
1346 (let ((i (length s)))
1347 (while (>= (setq i (1- i)) 0)
1348 (or (memq (aref s i) '(32 ?\n))
1349 (aset s i (if calc-show-selections ?\. ?\#)))))
1352 ;; The variable math-comp-sel-tag is local to calc-find-selected-part
1353 ;; in calc-sel.el, but is used by math-comp-sel-flat-term and
1354 ;; math-comp-add-string-sel, which are called (indirectly) by
1355 ;; calc-find-selected-part.
1356 (defvar math-comp-sel-tag)
1358 (defun math-comp-sel-flat-term (c)
1359 (cond ((not (consp c))
1360 (setq math-comp-pos (+ math-comp-pos (length c))))
1361 ((memq (car c) '(set break)))
1362 ((eq (car c) 'horiz)
1363 (while (and (setq c (cdr c)) (< math-comp-sel-cpos 1000000))
1364 (math-comp-sel-flat-term (car c))))
1366 (if (<= math-comp-pos math-comp-sel-cpos)
1368 (math-comp-sel-flat-term (nth 2 c))
1369 (if (> math-comp-pos math-comp-sel-cpos)
1370 (setq math-comp-sel-tag c
1371 math-comp-sel-cpos 1000000)))
1372 (math-comp-sel-flat-term (nth 2 c))))
1373 (t (math-comp-sel-flat-term (nth 2 c)))))
1376 ;;; Simplify a composition to a canonical form consisting of
1377 ;;; (vleft n "string" "string" "string" ...)
1378 ;;; where 0 <= n < number-of-strings.
1380 ;; The variables math-comp-base, math-comp-hgt, math-comp-tag,
1381 ;; math-comp-hpos and math-comp-vpos are local to math-comp-simplify,
1382 ;; but are used by math-comp-add-string (math-comp-base, math-comp-hgt),
1383 ;; math-comp-add-string-sel (math-comp-tag) and math-comp-simplify-term
1384 ;; (math-comp-tag, math-comp-vpos, math-comp-hpos), which are called by
1385 ;; math-comp-simplify.
1386 (defvar math-comp-base)
1387 (defvar math-comp-hgt)
1388 (defvar math-comp-tag)
1389 (defvar math-comp-hpos)
1390 (defvar math-comp-vpos)
1392 (defun math-comp-simplify (c full-width)
1393 (let ((math-comp-buf (list ""))
1398 (math-comp-highlight (and math-comp-selected calc-show-selections))
1399 (math-comp-tag nil))
1400 (math-comp-simplify-term c)
1401 (cons 'vleft (cons math-comp-base math-comp-buf))))
1403 (defun math-comp-add-string (s h v)
1404 (and (> (length s) 0)
1405 (let ((vv (+ v math-comp-base)))
1406 (if math-comp-sel-hpos
1407 (math-comp-add-string-sel h vv (length s) 1)
1409 (setq math-comp-buf (nconc (make-list (- vv) "") math-comp-buf)
1410 math-comp-base (- v)
1411 math-comp-hgt (- math-comp-hgt vv)
1413 (if (>= vv math-comp-hgt)
1414 (setq math-comp-buf (nconc math-comp-buf
1415 (make-list (1+ (- vv math-comp-hgt)) ""))
1416 math-comp-hgt (1+ vv))))
1417 (let ((str (nthcdr vv math-comp-buf)))
1418 (setcar str (concat (car str)
1419 (make-string (- h (length (car str))) 32)
1420 (if math-comp-highlight
1421 (math-comp-highlight-string s)
1424 (defun math-comp-add-string-sel (x y w h)
1425 (if (and (<= y math-comp-sel-vpos)
1426 (> (+ y h) math-comp-sel-vpos)
1427 (<= x math-comp-sel-hpos)
1428 (> (+ x w) math-comp-sel-hpos))
1429 (setq math-comp-sel-tag math-comp-tag
1430 math-comp-sel-vpos 10000)))
1432 (defun math-comp-simplify-term (c)
1434 (math-comp-add-string c math-comp-hpos math-comp-vpos)
1435 (setq math-comp-hpos (+ math-comp-hpos (length c))))
1436 ((memq (car c) '(set break))
1438 ((eq (car c) 'horiz)
1439 (while (setq c (cdr c))
1440 (math-comp-simplify-term (car c))))
1441 ((memq (car c) '(vleft vcent vright))
1442 (let* ((math-comp-vpos (+ (- math-comp-vpos (nth 1 c))
1443 (1- (math-comp-ascent (nth 2 c)))))
1444 (widths (mapcar 'math-comp-width (cdr (cdr c))))
1445 (maxwid (apply 'max widths))
1446 (bias (cond ((eq (car c) 'vleft) 0)
1447 ((eq (car c) 'vcent) 1)
1450 (while (setq c (cdr c))
1451 (if (eq (car-safe (car c)) 'rule)
1452 (math-comp-add-string (make-string maxwid (nth 1 (car c)))
1453 math-comp-hpos math-comp-vpos)
1454 (let ((math-comp-hpos (+ math-comp-hpos (/ (* bias (- maxwid
1457 (math-comp-simplify-term (car c))))
1459 (setq math-comp-vpos (+ math-comp-vpos
1460 (+ (math-comp-descent (car c))
1461 (math-comp-ascent (nth 1 c))))
1462 widths (cdr widths))))
1463 (setq math-comp-hpos (+ math-comp-hpos maxwid))))
1464 ((eq (car c) 'supscr)
1465 (let* ((asc (or 1 (math-comp-ascent (nth 1 c))))
1466 (desc (math-comp-descent (nth 2 c)))
1469 (math-comp-simplify-term (nth 1 c))))
1470 (math-comp-vpos (- math-comp-vpos (+ asc desc))))
1471 (math-comp-simplify-term (nth 2 c))
1472 (if math-comp-sel-hpos
1473 (math-comp-add-string-sel oldh
1476 (math-comp-ascent (nth 2 c)))
1477 (- math-comp-hpos oldh)
1478 (math-comp-height c)))))
1479 ((eq (car c) 'subscr)
1480 (let* ((asc (math-comp-ascent (nth 2 c)))
1481 (desc (math-comp-descent (nth 1 c)))
1482 (oldv math-comp-vpos)
1485 (math-comp-simplify-term (nth 1 c))))
1486 (math-comp-vpos (+ math-comp-vpos (+ asc desc))))
1487 (math-comp-simplify-term (nth 2 c))
1488 (if math-comp-sel-hpos
1489 (math-comp-add-string-sel oldh oldv
1490 (- math-comp-hpos oldh)
1491 (math-comp-height c)))))
1493 (cond ((eq (nth 1 c) math-comp-selected)
1494 (let ((math-comp-highlight (not calc-show-selections)))
1495 (math-comp-simplify-term (nth 2 c))))
1497 (let ((math-comp-highlight nil))
1498 (math-comp-simplify-term (nth 2 c))))
1499 (t (let ((math-comp-tag c))
1500 (math-comp-simplify-term (nth 2 c))))))))
1503 ;;; Measuring a composition.
1505 (defun math-comp-first-char (c)
1507 (and (> (length c) 0)
1509 ((memq (car c) '(horiz subscr supscr))
1510 (while (and (setq c (cdr c))
1511 (math-comp-is-null (car c))))
1512 (and c (math-comp-first-char (car c))))
1514 (math-comp-first-char (nth 2 c)))))
1516 (defun math-comp-first-string (c)
1518 (and (> (length c) 0)
1520 ((eq (car c) 'horiz)
1521 (while (and (setq c (cdr c))
1522 (math-comp-is-null (car c))))
1523 (and c (math-comp-first-string (car c))))
1525 (math-comp-first-string (nth 2 c)))))
1527 (defun math-comp-last-char (c)
1529 (and (> (length c) 0)
1530 (elt c (1- (length c)))))
1531 ((eq (car c) 'horiz)
1532 (let ((c (reverse (cdr c))))
1533 (while (and c (math-comp-is-null (car c)))
1535 (and c (math-comp-last-char (car c)))))
1537 (math-comp-last-char (nth 2 c)))))
1539 (defun math-comp-is-null (c)
1540 (cond ((stringp c) (= (length c) 0))
1541 ((memq (car c) '(horiz subscr supscr))
1542 (while (and (setq c (cdr c))
1543 (math-comp-is-null (car c))))
1546 (math-comp-is-null (nth 2 c)))
1547 ((memq (car c) '(set break)) t)))
1549 (defun math-comp-width (c)
1550 (cond ((not (consp c)) (length c))
1551 ((memq (car c) '(horiz subscr supscr))
1553 (while (setq c (cdr c))
1554 (setq accum (+ accum (math-comp-width (car c)))))
1556 ((memq (car c) '(vcent vleft vright))
1559 (while (setq c (cdr c))
1560 (setq accum (max accum (math-comp-width (car c)))))
1563 (math-comp-width (nth 2 c)))
1566 (defun math-comp-height (c)
1569 (+ (math-comp-ascent c) (math-comp-descent c))))
1571 (defun math-comp-ascent (c)
1572 (cond ((not (consp c)) 1)
1573 ((eq (car c) 'horiz)
1575 (while (setq c (cdr c))
1576 (setq accum (max accum (math-comp-ascent (car c)))))
1578 ((memq (car c) '(vcent vleft vright))
1579 (if (> (nth 1 c) 0) (1+ (nth 1 c)) 1))
1580 ((eq (car c) 'supscr)
1581 (max (math-comp-ascent (nth 1 c)) (1+ (math-comp-height (nth 2 c)))))
1582 ((eq (car c) 'subscr)
1583 (math-comp-ascent (nth 1 c)))
1585 (math-comp-ascent (nth 2 c)))
1588 (defun math-comp-descent (c)
1589 (cond ((not (consp c)) 0)
1590 ((eq (car c) 'horiz)
1592 (while (setq c (cdr c))
1593 (setq accum (max accum (math-comp-descent (car c)))))
1595 ((memq (car c) '(vcent vleft vright))
1596 (let ((accum (- (nth 1 c))))
1598 (while (setq c (cdr c))
1599 (setq accum (+ accum (math-comp-height (car c)))))
1600 (max (1- accum) 0)))
1601 ((eq (car c) 'supscr)
1602 (math-comp-descent (nth 1 c)))
1603 ((eq (car c) 'subscr)
1604 (+ (math-comp-descent (nth 1 c)) (math-comp-height (nth 2 c))))
1606 (math-comp-descent (nth 2 c)))
1609 (defun calcFunc-cwidth (a &optional prec)
1610 (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1611 (math-comp-width (math-compose-expr a (or prec 0))))
1613 (defun calcFunc-cheight (a &optional prec)
1614 (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1615 (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
1616 (memq (length a) '(2 3))
1619 (math-comp-height (math-compose-expr a (or prec 0)))))
1621 (defun calcFunc-cascent (a &optional prec)
1622 (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1623 (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace))
1624 (memq (length a) '(2 3))
1627 (math-comp-ascent (math-compose-expr a (or prec 0)))))
1629 (defun calcFunc-cdescent (a &optional prec)
1630 (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump))
1631 (math-comp-descent (math-compose-expr a (or prec 0))))
1634 ;;; Convert a simplified composition into string form.
1636 (defun math-vert-comp-to-string (c)
1639 (math-vert-comp-to-string-step (cdr (cdr c)))))
1641 (defun math-vert-comp-to-string-step (c)
1643 (concat (car c) "\n" (math-vert-comp-to-string-step (cdr c)))
1647 ;;; Convert a composition to a string in "raw" form (for debugging).
1649 (defun math-comp-to-string-raw (c indent)
1650 (cond ((or (not (consp c)) (eq (car c) 'set))
1651 (prin1-to-string c))
1653 (concat "(" (symbol-name (car c)) ")"))
1655 (let ((next-indent (+ indent 2 (length (symbol-name (car c))))))
1657 (symbol-name (car c))
1659 (math-comp-to-string-raw (nth 1 c) next-indent)
1660 (math-comp-to-string-raw-step (cdr (cdr c))
1664 (defun math-comp-to-string-raw-step (cl indent)
1667 (make-string indent 32)
1668 (math-comp-to-string-raw (car cl) indent)
1669 (math-comp-to-string-raw-step (cdr cl) indent))
1678 ;; arch-tag: 7c45d10a-a286-4dab-af49-7ae8989fbf78
1679 ;;; calccomp.el ends here