1 ;;; calccomp.el --- composition functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
4 ;; 2005, 2006, 2007 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, or (at your option)
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; see the file COPYING. If not, write to the
23 ;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
24 ;; Boston, MA 02110-1301, USA.
30 ;; This file is autoloaded from calc-ext.el.
35 ;;; A "composition" has one of the following forms:
37 ;;; "string" A literal string
39 ;;; (horiz C1 C2 ...) Horizontally abutted sub-compositions
41 ;;; (set LEVEL OFF) Set left margin + offset for line-break level
42 ;;; (break LEVEL) A potential line-break point
44 ;;; (vleft N C1 C2 ...) Vertically stacked, left-justified sub-comps
45 ;;; (vcent N C1 C2 ...) Vertically stacked, centered sub-comps
46 ;;; (vright N C1 C2 ...) Vertically stacked, right-justified sub-comps
47 ;;; N specifies baseline of the stack, 0=top line.
49 ;;; (supscr C1 C2) Composition C1 with superscript C2
50 ;;; (subscr C1 C2) Composition C1 with subscript C2
51 ;;; (rule X) Horizontal line of X, full width of enclosing comp
53 ;;; (tag X C) Composition C corresponds to sub-expression X
55 ;; math-comp-just and math-comp-comma-spc are local to
56 ;; math-compose-expr, but are used by math-compose-matrix, which is
57 ;; called by math-compose-expr
58 (defvar math-comp-just
)
59 (defvar math-comp-comma-spc
)
61 ;; math-comp-vector-prec is local to math-compose-expr, but is used by
62 ;; math-compose-matrix and math-compose-rows, which are called by
64 (defvar math-comp-vector-prec
)
66 ;; math-comp-left-bracket, math-comp-right-bracket and math-comp-comma are
67 ;; local to math-compose-expr, but are used by math-compose-rows, which is
68 ;; called by math-compose-expr.
69 (defvar math-comp-left-bracket
)
70 (defvar math-comp-right-bracket
)
71 (defvar math-comp-comma
)
73 (defun math-compose-var (a)
75 (if (and math-compose-hash-args
76 (let ((p calc-arg-values
))
78 (while (and p
(not (equal (car p
) a
)))
79 (setq p
(and (eq math-compose-hash-args t
) (cdr p
))
82 (if (eq math-compose-hash-args
1)
85 (if (memq calc-language calc-lang-allow-underscores
)
86 (math-to-underscores (symbol-name (nth 1 a
)))
87 (symbol-name (nth 1 a
))))))
89 (defun math-compose-expr (a prec
)
90 (let ((math-compose-level (1+ math-compose-level
))
91 (math-expr-opers (math-expr-ops))
94 ((or (and (eq a math-comp-selected
) a
)
96 (not (eq math-comp-tagged a
))))
97 (let ((math-comp-selected nil
))
98 (and math-comp-tagged
(setq math-comp-tagged a
))
99 (list 'tag a
(math-compose-expr a prec
))))
100 ((and (not (consp a
)) (not (integerp a
)))
101 (concat "'" (prin1-to-string a
)))
102 ((setq spfn
(assq (car-safe a
)
103 (get calc-language
'math-special-function-table
)))
104 (setq spfn
(cdr spfn
))
106 (funcall (car spfn
) a spfn
)
109 (if (or (eq (car-safe a
) 'frac
)
110 (and (nth 1 calc-frac-format
) (Math-integerp a
)))
113 (not (memq calc-language
114 '(flat big unform
))))
115 (let ((aa (math-adjust-fraction a
))
116 (calc-frac-format nil
))
117 (math-compose-expr (list '/
118 (if (memq calc-language
119 calc-lang-slash-idiv
)
120 (math-float (nth 1 aa
))
123 (if (and (eq calc-language
'big
)
124 (= (length (car calc-frac-format
)) 1))
125 (let* ((aa (math-adjust-fraction a
))
126 (calc-frac-format nil
)
127 (math-radix-explicit-format nil
)
129 (if (math-negp (nth 1 aa
))
133 (math-abs (nth 1 aa
)))
135 (math-format-number (nth 2 aa
))))))
136 (if (= calc-number-radix
10)
140 (int-to-string calc-number-radix
)))))
141 (math-format-number a
)))
142 (if (not (eq calc-language
'big
))
143 (math-format-number a prec
)
144 (if (memq (car-safe a
) '(cplx polar
))
145 (if (math-zerop (nth 2 a
))
146 (math-compose-expr (nth 1 a
) prec
)
148 (math-compose-expr (nth 1 a
) 0)
149 (if (eq (car a
) 'cplx
) ", " "; ")
150 (math-compose-expr (nth 2 a
) 0) ")"))
151 (if (or (= calc-number-radix
10)
153 (and calc-group-digits
154 (not (assoc calc-group-char
'((",") (" "))))))
155 (math-format-number a prec
)
156 (let ((s (math-format-number a prec
))
158 (while (string-match (if (> calc-number-radix
14)
159 "\\([0-9]+\\)#\\([0-9a-zA-Z., ]+\\)"
160 "\\([0-9]+\\)#\\([0-9a-dA-D., ]+\\)")
162 (setq c
(nconc c
(list (substring s
0 (match-beginning 0))
164 (math-match-substring s
2)
165 (math-match-substring s
1))))
166 s
(substring s
(match-end 0))))
168 "\\*\\([0-9.]+\\)\\^\\(-?[0-9]+\\)\\()?\\)\\'" s
)
170 (substring s
0 (match-beginning 0)) " "
172 (math-match-substring s
1)
173 (math-match-substring s
2))
174 (math-match-substring s
3))))
175 (if c
(cons 'horiz
(nconc c
(list s
))) s
)))))))
176 ((and (get (car a
) 'math-compose-forms
)
177 (not (eq calc-language
'unform
))
178 (let ((comps (get (car a
) 'math-compose-forms
))
180 (or (and (setq temp
(assq calc-language comps
))
181 (or (and (setq temp2
(assq (1- (length a
)) (cdr temp
)))
182 (setq temp
(apply (cdr temp2
) (cdr a
)))
183 (math-compose-expr temp prec
))
184 (and (setq temp2
(assq nil
(cdr temp
)))
185 (funcall (cdr temp2
) a
))))
186 (and (setq temp
(assq nil comps
))
187 (or (and (setq temp2
(assq (1- (length a
)) (cdr temp
)))
188 (setq temp
(apply (cdr temp2
) (cdr a
)))
189 (math-compose-expr temp prec
))
190 (and (setq temp2
(assq nil
(cdr temp
)))
191 (funcall (cdr temp2
) a
))))))))
193 (let* ((math-comp-left-bracket (if calc-vector-brackets
194 (substring calc-vector-brackets
0 1) ""))
195 (math-comp-right-bracket (if calc-vector-brackets
196 (substring calc-vector-brackets
1 2) ""))
197 (inner-brackets (memq 'R calc-matrix-brackets
))
198 (outer-brackets (memq 'O calc-matrix-brackets
))
199 (row-commas (memq 'C calc-matrix-brackets
))
200 (math-comp-comma-spc (or calc-vector-commas
" "))
201 (math-comp-comma (or calc-vector-commas
""))
202 (math-comp-vector-prec (if (or (and calc-vector-commas
203 (math-vector-no-parens a
))
204 (memq 'P calc-matrix-brackets
)) 0 1000))
205 (math-comp-just (cond ((eq calc-matrix-just
'right
) 'vright
)
206 ((eq calc-matrix-just
'center
) 'vcent
)
208 (break calc-break-vectors
))
209 (if (and (memq calc-language
'(nil big
))
210 (not calc-break-vectors
)
211 (math-matrixp a
) (not (math-matrixp (nth 1 a
)))
212 (or calc-full-vectors
213 (and (< (length a
) 7) (< (length (nth 1 a
)) 7))
214 (progn (setq break t
) nil
)))
216 (setq math-comp-vector-prec
(if (or (and calc-vector-commas
217 (math-vector-no-parens
219 (memq 'P calc-matrix-brackets
))
223 (concat math-comp-left-bracket math-comp-left-bracket
" ")
224 (math-compose-vector (cdr (nth 1 a
)) (concat math-comp-comma
" ")
225 math-comp-vector-prec
)
226 (concat " " math-comp-right-bracket math-comp-right-bracket
))
227 (let* ((rows (1- (length a
)))
228 (cols (1- (length (nth 1 a
))))
229 (base (/ (1- rows
) 2))
230 (calc-language 'flat
))
232 (list (append '(vleft)
234 (list (concat (and outer-brackets
235 (concat math-comp-left-bracket
238 (concat math-comp-left-bracket
241 (concat (and outer-brackets
245 math-comp-left-bracket
247 (math-compose-matrix (cdr a
) 1 cols base
)
248 (list (append '(vleft)
253 math-comp-right-bracket
256 (if (and outer-brackets
262 math-comp-right-bracket
))
266 math-comp-right-bracket
)))))))))
267 (if (and calc-display-strings
269 (math-vector-is-string a
))
270 (math-vector-to-string a t
)
271 (if (and break
(cdr a
)
272 (not (eq calc-language
'flat
)))
273 (let* ((full (or calc-full-vectors
(< (length a
) 7)))
274 (rows (if full
(1- (length a
)) 5))
275 (base (/ (1- rows
) 2))
276 (calc-break-vectors nil
))
278 (cons 'vleft
(cons base
281 (if full rows
3) t
)))))
282 (if (or calc-full-vectors
(< (length a
) 7))
284 (setq spfn
(get calc-language
'math-matrix-formatter
))
288 math-comp-left-bracket
289 (math-compose-vector (cdr a
)
290 (concat math-comp-comma
" ")
291 math-comp-vector-prec
)
292 math-comp-right-bracket
))
294 math-comp-left-bracket
295 (math-compose-vector (list (nth 1 a
) (nth 2 a
) (nth 3 a
))
296 (concat math-comp-comma
" ")
297 math-comp-vector-prec
)
299 (if (setq spfn
(get calc-language
'math-dots
))
303 (list 'break math-compose-level
)
304 (math-compose-expr (nth (1- (length a
)) a
)
305 (if (equal math-comp-comma
"") 1000 0))
306 math-comp-right-bracket
)))))))
307 ((eq (car a
) 'incomplete
)
309 (cond ((eq (nth 1 a
) 'vec
)
311 (math-compose-vector (cdr (cdr a
)) ", " 0)
313 ((eq (nth 1 a
) 'cplx
)
315 (math-compose-vector (cdr (cdr a
)) ", " 0)
317 ((eq (nth 1 a
) 'polar
)
319 (math-compose-vector (cdr (cdr a
)) "; " 0)
321 ((eq (nth 1 a
) 'intv
)
323 (if (memq (nth 2 a
) '(0 1)) "(" "[")
324 (math-compose-vector (cdr (cdr (cdr a
))) " .. " 0)
327 (cond ((eq (nth 1 a
) 'vec
) "[ ...")
328 ((eq (nth 1 a
) 'intv
)
329 (if (memq (nth 2 a
) '(0 1)) "( ..." "[ ..."))
332 (let ((v (rassq (nth 2 a
) math-expr-variable-mapping
)))
334 (symbol-name (car v
))
335 (if (setq spfn
(get calc-language
'math-var-formatter
))
336 (funcall spfn a prec
)
337 (math-compose-var a
)))))
340 (if (memq (nth 1 a
) '(0 1)) "(" "[")
341 (math-compose-expr (nth 2 a
) 0)
343 (math-compose-expr (nth 3 a
) 0)
344 (if (memq (nth 1 a
) '(0 2)) ")" "]")))
346 (if (eq (car calc-date-format
) 'X
)
348 (concat "<" (math-format-date a
) ">")))
349 ((and (eq (car a
) 'calcFunc-subscr
)
350 (setq spfn
(get calc-language
'math-compose-subscr
)))
352 ((and (eq (car a
) 'calcFunc-subscr
) (= (length a
) 3)
353 (eq calc-language
'big
))
354 (let* ((a1 (math-compose-expr (nth 1 a
) 1000))
355 (calc-language 'flat
)
356 (a2 (math-compose-expr (nth 2 a
) 0)))
357 (if (or (eq (car-safe a1
) 'subscr
)
358 (and (eq (car-safe a1
) 'tag
)
359 (eq (car-safe (nth 2 a1
)) 'subscr
)
360 (setq a1
(nth 2 a1
))))
367 (list 'subscr a1 a2
))))
368 ((and (eq (car a
) '^
)
369 (eq calc-language
'big
))
371 (if (or (math-looks-negp (nth 1 a
))
372 (memq (car-safe (nth 1 a
)) '(^
/ frac calcFunc-sqrt
))
373 (and (eq (car-safe (nth 1 a
)) 'cplx
)
374 (math-negp (nth 1 (nth 1 a
)))
375 (eq (nth 2 (nth 1 a
)) 0)))
376 (list 'horiz
"(" (math-compose-expr (nth 1 a
) 0) ")")
377 (math-compose-expr (nth 1 a
) 201))
378 (let ((calc-language 'flat
)
379 (calc-number-radix 10))
380 (math-compose-expr (nth 2 a
) 0))))
381 ((and (eq (car a
) '/)
382 (eq calc-language
'big
))
383 (let ((a1 (let ((calc-language (if (memq (car-safe (nth 1 a
)) '(/ frac
))
385 (math-compose-expr (nth 1 a
) 0)))
386 (a2 (let ((calc-language (if (memq (car-safe (nth 2 a
)) '(/ frac
))
388 (math-compose-expr (nth 2 a
) 0))))
390 (math-comp-height a1
)
392 ((and (eq (car a
) 'calcFunc-lambda
)
394 (memq calc-language
'(nil flat big
)))
397 (math-compose-hash-args (if (= (length a
) 3) 1 t
)))
398 (while (and (cdr p
) (equal (car p
) (car ap
)))
399 (setq p
(cdr p
) ap
(cdr ap
)))
402 (list (math-compose-vector
403 (nreverse (cdr (reverse (cdr a
)))) ", " 0)
406 (list (math-compose-expr (nth (1- (length a
)) a
) 0)
408 ((and (eq (car a
) 'calcFunc-string
)
410 (math-vectorp (nth 1 a
))
411 (math-vector-is-string (nth 1 a
)))
412 (if (eq calc-language
'unform
)
413 (concat "string(" (math-vector-to-string (nth 1 a
) t
) ")")
414 (math-vector-to-string (nth 1 a
) nil
)))
415 ((and (eq (car a
) 'calcFunc-bstring
)
417 (math-vectorp (nth 1 a
))
418 (math-vector-is-string (nth 1 a
)))
419 (if (eq calc-language
'unform
)
420 (concat "bstring(" (math-vector-to-string (nth 1 a
) t
) ")")
422 (s (math-vector-to-string (nth 1 a
) nil
))
424 (while (string-match "[^ ] +[^ ]" s
)
425 (setq p
(1- (match-end 0))
426 c
(cons (list 'break math-compose-level
)
427 (cons (substring s
0 p
)
430 (setq c
(nreverse (cons s c
)))
432 (setq c
(cons (list 'set math-compose-level
2) c
)))
434 ((and (eq (car a
) 'calcFunc-cprec
)
435 (not (eq calc-language
'unform
))
437 (integerp (nth 2 a
)))
438 (let ((c (math-compose-expr (nth 1 a
) -
1)))
439 (if (> prec
(nth 2 a
))
440 (if (setq spfn
(get calc-language
'math-big-parens
))
441 (list 'horiz
(car spfn
) c
(cdr spfn
))
442 (list 'horiz
"(" c
")"))
444 ((and (eq (car a
) 'calcFunc-choriz
)
445 (not (eq calc-language
'unform
))
446 (memq (length a
) '(2 3 4))
447 (math-vectorp (nth 1 a
))
448 (if (integerp (nth 2 a
))
450 (and (math-vectorp (nth 3 a
))
451 (math-vector-is-string (nth 3 a
))))
453 (and (math-vectorp (nth 2 a
))
454 (math-vector-is-string (nth 2 a
))))))
455 (let* ((cprec (and (integerp (nth 2 a
)) (nth 2 a
)))
456 (sep (nth (if cprec
3 2) a
))
459 (math-compose-vector (cdr (nth 1 a
))
460 (math-vector-to-string sep nil
)
462 (cons 'horiz
(mapcar (function
464 (if (eq (car-safe x
) 'calcFunc-bstring
)
467 x
(or bprec cprec prec
))
469 (math-compose-expr x
(or cprec prec
)))))
471 ((and (memq (car a
) '(calcFunc-cvert calcFunc-clvert calcFunc-crvert
))
472 (not (eq calc-language
'unform
))
473 (memq (length a
) '(2 3))
474 (math-vectorp (nth 1 a
))
476 (integerp (nth 2 a
))))
479 (prec (or (nth 2 a
) prec
))
482 (let ((b nil
) (cc nil
) a d
)
483 (if (and (memq (car-safe x
) '(calcFunc-cbase
486 (memq (length x
) '(1 2)))
489 (if (and (eq (car-safe x
) 'calcFunc-crule
)
490 (memq (length x
) '(1 2))
492 (and (math-vectorp (nth 1 x
))
493 (= (length (nth 1 x
)) 2)
494 (math-vector-is-string
496 (and (natnump (nth 1 x
))
497 (<= (nth 1 x
) 255))))
500 (if (math-vectorp (nth 1 x
))
501 (aref (math-vector-to-string
504 (or (and (memq (car-safe x
) '(calcFunc-cvspace
507 (memq (length x
) '(2 3))
510 (setq cc
(math-compose-expr x prec
))))
511 (setq a
(if cc
(math-comp-ascent cc
) 0)
512 d
(if cc
(math-comp-descent cc
) 0))
513 (if (eq b
'calcFunc-cbase
)
514 (setq base
(+ v a -
1))
515 (if (eq b
'calcFunc-ctbase
)
517 (if (eq b
'calcFunc-cbbase
)
518 (setq base
(+ v a d -
1)))))
522 (setq c
(delq nil c
))
524 (cons (if (eq (car a
) 'calcFunc-cvert
) 'vcent
525 (if (eq (car a
) 'calcFunc-clvert
) 'vleft
'vright
))
528 ((and (memq (car a
) '(calcFunc-csup calcFunc-csub
))
529 (not (eq calc-language
'unform
))
530 (memq (length a
) '(3 4))
532 (integerp (nth 3 a
))))
533 (list (if (eq (car a
) 'calcFunc-csup
) 'supscr
'subscr
)
534 (math-compose-expr (nth 1 a
) (or (nth 3 a
) 0))
535 (math-compose-expr (nth 2 a
) 0)))
536 ((and (eq (car a
) 'calcFunc-cflat
)
537 (not (eq calc-language
'unform
))
538 (memq (length a
) '(2 3))
540 (integerp (nth 2 a
))))
541 (let ((calc-language (if (memq calc-language
'(nil big
))
542 'flat calc-language
)))
543 (math-compose-expr (nth 1 a
) (or (nth 2 a
) 0))))
544 ((and (eq (car a
) 'calcFunc-cspace
)
545 (memq (length a
) '(2 3))
548 (cons 'horiz
(make-list (nth 1 a
)
549 (if (and (math-vectorp (nth 2 a
))
550 (math-vector-is-string (nth 2 a
)))
551 (math-vector-to-string (nth 2 a
) nil
)
552 (math-compose-expr (nth 2 a
) 0))))
553 (make-string (nth 1 a
) ?\
)))
554 ((and (memq (car a
) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace
))
555 (memq (length a
) '(2 3))
559 (let* ((c (if (nth 2 a
)
560 (if (and (math-vectorp (nth 2 a
))
561 (math-vector-is-string (nth 2 a
)))
562 (math-vector-to-string (nth 2 a
) nil
)
563 (math-compose-expr (nth 2 a
) 0))
565 (ca (math-comp-ascent c
))
566 (cd (math-comp-descent c
)))
568 (cons (if (eq (car a
) 'calcFunc-ctspace
)
570 (if (eq (car a
) 'calcFunc-cbspace
)
571 (+ (* (1- (nth 1 a
)) (+ ca cd
)) (1- ca
))
572 (/ (1- (* (nth 1 a
) (+ ca cd
))) 2)))
573 (make-list (nth 1 a
) c
))))))
574 ((and (eq (car a
) 'calcFunc-evalto
)
575 (setq calc-any-evaltos t
)
576 (setq spfn
(get calc-language
'math-evalto
))
577 (= math-compose-level
(if math-comp-tagged
2 1))
581 (math-compose-expr (nth 1 a
) 0)
583 (math-compose-expr (nth 2 a
) 0)))
585 (let ((op (and (not (eq calc-language
'unform
))
586 (if (and (eq (car a
) 'calcFunc-if
) (= (length a
) 4))
587 (assoc "?" math-expr-opers
)
588 (math-assq2 (car a
) math-expr-opers
)))))
590 (or (= (length a
) 3) (eq (car a
) 'calcFunc-if
))
593 ((> prec
(or (nth 4 op
) (min (nth 2 op
) (nth 3 op
))))
594 (if (and (memq calc-language
'(tex latex
))
595 (not (math-tex-expr-is-flat a
)))
596 (if (eq (car-safe a
) '/)
597 (list 'horiz
"{" (math-compose-expr a -
1) "}")
598 (list 'horiz
"\\left( "
599 (math-compose-expr a -
1)
601 (if (eq calc-language
'eqn
)
602 (if (or (eq (car-safe a
) '/)
604 (list 'horiz
"{" (math-compose-expr a -
1) "}")
605 (if (math-tex-expr-is-flat a
)
606 (list 'horiz
"( " (math-compose-expr a -
1) " )")
607 (list 'horiz
"{left ( "
608 (math-compose-expr a -
1)
610 (list 'horiz
"(" (math-compose-expr a
0) ")"))))
611 ((and (memq calc-language
'(tex latex
))
612 (memq (car a
) '(/ calcFunc-choose calcFunc-evalto
))
614 (list 'horiz
"{" (math-compose-expr a -
1) "}"))
615 ((eq (car a
) 'calcFunc-if
)
617 (math-compose-expr (nth 1 a
) (nth 2 op
))
619 (math-compose-expr (nth 2 a
) 0)
621 (math-compose-expr (nth 3 a
) (nth 3 op
))))
623 (let* ((math-comp-tagged (and math-comp-tagged
626 (setlev (if (= prec
(min (nth 2 op
) (nth 3 op
)))
628 (setq math-compose-level
629 (1- math-compose-level
))
632 (lhs (math-compose-expr (nth 1 a
) (nth 2 op
)))
633 (rhs (math-compose-expr (nth 2 a
) (nth 3 op
))))
634 (and (equal (car op
) "^")
635 (eq (math-comp-first-char lhs
) ?-
)
636 (setq lhs
(list 'horiz
"(" lhs
")")))
637 (and (memq calc-language
'(tex latex
))
638 (or (equal (car op
) "^") (equal (car op
) "_"))
639 (not (and (stringp rhs
) (= (length rhs
) 1)))
640 (setq rhs
(list 'horiz
"{" rhs
"}")))
641 (or (and (eq (car a
) '*)
642 (or (null calc-language
)
643 (assoc "2x" math-expr-opers
))
644 (let* ((prevt (math-prod-last-term (nth 1 a
)))
645 (nextt (math-prod-first-term (nth 2 a
)))
646 (prevc (or (math-comp-last-char lhs
)
647 (and (memq (car-safe prevt
)
651 (eq calc-language
'big
)
653 (nextc (or (math-comp-first-char rhs
)
654 (and (memq (car-safe nextt
)
659 (eq calc-language
'big
)
662 (or (and (>= nextc ?a
) (<= nextc ?z
))
663 (and (>= nextc ?A
) (<= nextc ?Z
))
664 (and (>= nextc ?
0) (<= nextc ?
9))
665 (memq nextc
'(?. ?_ ?
#
670 (math-comp-first-string
672 (not (and (eq (car-safe prevt
) 'var
)
677 (list 'break math-compose-level
)
683 (list 'break math-compose-level
)
684 (if (or (equal (car op
) "^")
686 (equal (car op
) "**")
687 (and (equal (car op
) "*")
688 (math-comp-last-char lhs
)
689 (math-comp-first-char rhs
))
690 (and (equal (car op
) "/")
691 (math-num-integerp (nth 1 a
))
692 (math-integerp (nth 2 a
))))
694 (if (and (eq calc-language
'big
)
695 (equal (car op
) "=>"))
697 (concat " " (car op
) " ")))
699 ((and op
(= (length a
) 2) (= (nth 3 op
) -
1))
701 ((or (> prec
(or (nth 4 op
) (nth 2 op
)))
702 (and (not (eq (assoc (car op
) math-expr-opers
) op
))
703 (> prec
0))) ; don't write x% + y
704 (if (and (memq calc-language
'(tex latex
))
705 (not (math-tex-expr-is-flat a
)))
706 (list 'horiz
"\\left( "
707 (math-compose-expr a -
1)
709 (if (eq calc-language
'eqn
)
710 (if (= (/ prec
100) 9)
711 (list 'horiz
"{" (math-compose-expr a -
1) "}")
712 (if (math-tex-expr-is-flat a
)
713 (list 'horiz
"{( " (math-compose-expr a -
1) " )}")
714 (list 'horiz
"{left ( "
715 (math-compose-expr a -
1)
717 (list 'horiz
"(" (math-compose-expr a
0) ")"))))
719 (let ((lhs (math-compose-expr (nth 1 a
) (nth 2 op
))))
722 (if (or (> (length (car op
)) 1)
723 (not (math-comp-is-flat lhs
)))
724 (concat " " (car op
))
726 ((and op
(= (length a
) 2) (= (nth 2 op
) -
1))
729 (let ((lr (and (memq calc-language
'(tex latex
))
730 (not (math-tex-expr-is-flat (nth 1 a
))))))
733 (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" (car op
))
734 (substring (car op
) 1)
736 (if (or lr
(> (length (car op
)) 2)) " " "")
737 (math-compose-expr (nth 1 a
) -
1)
738 (if (or lr
(> (length (car op
)) 2)) " " "")
740 (car (nth 1 (memq op math-expr-opers
))))))
741 ((> prec
(or (nth 4 op
) (nth 3 op
)))
742 (if (and (memq calc-language
'(tex latex
))
743 (not (math-tex-expr-is-flat a
)))
744 (list 'horiz
"\\left( "
745 (math-compose-expr a -
1)
747 (if (eq calc-language
'eqn
)
748 (if (= (/ prec
100) 9)
749 (list 'horiz
"{" (math-compose-expr a -
1) "}")
750 (if (math-tex-expr-is-flat a
)
751 (list 'horiz
"{( " (math-compose-expr a -
1) " )}")
752 (list 'horiz
"{left ( "
753 (math-compose-expr a -
1)
755 (list 'horiz
"(" (math-compose-expr a
0) ")"))))
757 (let ((rhs (math-compose-expr (nth 1 a
) (nth 3 op
))))
759 (let ((ops (if (string-match "\\`u\\([^a-zA-Z]\\)\\'"
761 (substring (car op
) 1)
763 (if (or (> (length ops
) 1)
764 (not (math-comp-is-flat rhs
)))
768 ((and (eq calc-language
'big
)
769 (setq op
(get (car a
) 'math-compose-big
))
770 (funcall op a prec
)))
771 ((and (setq op
(assq calc-language
772 '( ( nil . math-compose-normal
)
773 ( flat . math-compose-normal
)
774 ( big . math-compose-normal
)
775 ( c . math-compose-c
)
776 ( pascal . math-compose-pascal
)
777 ( fortran . math-compose-fortran
)
778 ( tex . math-compose-tex
)
779 ( latex . math-compose-latex
)
780 ( eqn . math-compose-eqn
)
781 ( math . math-compose-math
)
782 ( maple . math-compose-maple
))))
783 (setq op
(get (car a
) (cdr op
)))
784 (funcall op a prec
)))
786 (let* ((func (car a
))
787 (func2 (assq func
'(( mod . calcFunc-makemod
)
788 ( sdev . calcFunc-sdev
)
795 ( neg . calcFunc-neg
)
796 ( | . calcFunc-vconcat
))))
799 (setq func
(cdr func2
)))
800 (if (setq func2
(rassq func math-expr-function-mapping
))
801 (setq func
(car func2
)))
802 (setq func
(math-remove-dashes
804 "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
806 (math-match-substring (symbol-name func
) 1)
807 (symbol-name func
))))
808 (if (memq calc-language calc-lang-allow-underscores
)
809 (setq func
(math-to-underscores func
)))
810 (if (setq spfn
(get calc-language
'math-func-formatter
))
811 (funcall spfn func a
)
813 (list 'horiz func calc-function-open
814 (math-compose-vector (cdr a
) ", " 0)
815 calc-function-close
))))))))))
818 (defun math-prod-first-term (x)
819 (while (eq (car-safe x
) '*)
823 (defun math-prod-last-term (x)
824 (while (eq (car-safe x
) '*)
828 (defun math-compose-vector (a sep prec
)
831 (cons (list 'set math-compose-level
)
832 (let ((c (list (math-compose-expr (car a
) prec
))))
833 (while (setq a
(cdr a
))
834 (setq c
(cons (if (eq (car-safe (car a
))
836 (let ((math-compose-level
837 (1- math-compose-level
)))
838 (math-compose-expr (car a
) -
123))
839 (math-compose-expr (car a
) prec
))
840 (cons (list 'break math-compose-level
)
845 (defun math-vector-no-parens (a)
847 (not (eq (car-safe (nth 1 a
)) '*))))
849 (defun math-compose-matrix (a col cols base
)
852 (while (<= (setq col
(1+ col
)) cols
)
853 (setq res
(cons (cons math-comp-just
860 math-comp-vector-prec
)
864 math-comp-comma-spc
" ")))))
869 (defun math-compose-rows (a count first
)
873 (math-compose-rows (cdr a
) -
1 nil
)
875 (let ((mdots (get calc-language
'math-dots
)))
880 (math-compose-rows (cdr a
) -
1 nil
)))
882 (if first
(concat math-comp-left-bracket
" ") " ")
883 (math-compose-expr (car a
) math-comp-vector-prec
)
885 (math-compose-rows (cdr a
) (1- count
) nil
)))
887 (if first
(concat math-comp-left-bracket
" ") " ")
888 (math-compose-expr (car a
) math-comp-vector-prec
)
889 (concat " " math-comp-right-bracket
)))))
891 (defun math-vector-is-string (a)
892 (while (and (setq a
(cdr a
))
893 (or (and (natnump (car a
))
895 (and (eq (car-safe (car a
)) 'cplx
)
896 (natnump (nth 1 (car a
)))
897 (eq (nth 2 (car a
)) 0)
898 (<= (nth 1 (car a
)) 255)))))
901 (defconst math-vector-to-string-chars
'( ( ?
\" .
"\\\"" )
912 (defun math-vector-to-string (a &optional quoted
)
913 (setq a
(concat (mapcar (function (lambda (x) (if (consp x
) (nth 1 x
) x
)))
915 (if (string-match "[\000-\037\177\\\"]" a
)
917 (pat (if quoted
"[\000-\037\177\\\"]" "[\000-\037\177]"))
918 (codes (if quoted math-vector-to-string-chars
'((?\^? .
"^?"))))
919 (fmt (if quoted
"\\^%c" "^%c"))
921 (while (setq p
(string-match pat a p
))
922 (if (setq new
(assq (aref a p
) codes
))
923 (setq a
(concat (substring a
0 p
)
925 (substring a
(1+ p
)))
926 p
(+ p
(length (cdr new
))))
927 (setq a
(concat (substring a
0 p
)
928 (format fmt
(+ (aref a p
) 64))
929 (substring a
(1+ p
)))
936 (defun math-to-underscores (x)
937 (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x
)
939 (concat (math-match-substring x
1) "_" (math-match-substring x
2)))
942 (defun math-tex-expr-is-flat (a)
943 (or (Math-integerp a
)
944 (memq (car a
) '(float var
))
945 (and (memq (car a
) '(+ -
* neg
))
947 (while (and (setq a
(cdr a
))
948 (math-tex-expr-is-flat (car a
))))
950 (and (memq (car a
) '(^ calcFunc-subscr
))
951 (math-tex-expr-is-flat (nth 1 a
)))))
953 (put 'calcFunc-log
'math-compose-big
'math-compose-log
)
954 (defun math-compose-log (a prec
)
955 (and (= (length a
) 3)
958 (let ((calc-language 'flat
))
959 (math-compose-expr (nth 2 a
) 1000)))
961 (math-compose-expr (nth 1 a
) 1000)
964 (put 'calcFunc-log10
'math-compose-big
'math-compose-log10
)
965 (defun math-compose-log10 (a prec
)
966 (and (= (length a
) 2)
968 (list 'subscr
"log" "10")
970 (math-compose-expr (nth 1 a
) 1000)
973 (put 'calcFunc-deriv
'math-compose-big
'math-compose-deriv
)
974 (put 'calcFunc-tderiv
'math-compose-big
'math-compose-deriv
)
975 (defun math-compose-deriv (a prec
)
976 (when (= (length a
) 3)
977 (math-compose-expr (list '/
978 (list 'calcFunc-choriz
980 '(calcFunc-string (vec ?d
))
982 (list 'calcFunc-choriz
984 '(calcFunc-string (vec ?d
))
988 (put 'calcFunc-sqrt
'math-compose-big
'math-compose-sqrt
)
989 (defun math-compose-sqrt (a prec
)
990 (when (= (length a
) 2)
991 (let* ((c (math-compose-expr (nth 1 a
) 0))
992 (a (math-comp-ascent c
))
993 (d (math-comp-descent c
))
995 (w (math-comp-width c
)))
998 (concat (if (= h
1) " " " ")
999 (make-string (+ w
2) ?\_
))
1003 (append (list 'vleft
(1- a
))
1004 (make-list (1- h
) " |")
1009 (put 'calcFunc-choose
'math-compose-big
'math-compose-choose
)
1010 (defun math-compose-choose (a prec
)
1011 (let ((a1 (math-compose-expr (nth 1 a
) 0))
1012 (a2 (math-compose-expr (nth 2 a
) 0)))
1016 (math-comp-height a1
)
1020 (put 'calcFunc-integ
'math-compose-big
'math-compose-integ
)
1021 (defun math-compose-integ (a prec
)
1022 (and (memq (length a
) '(3 5))
1023 (eq (car-safe (nth 2 a
)) 'var
)
1024 (let* ((parens (and (>= prec
196) (/= prec
1000)))
1025 (var (math-compose-expr (nth 2 a
) 0))
1026 (over (and (eq (car-safe (nth 2 a
)) 'var
)
1027 (or (and (eq (car-safe (nth 1 a
)) '/)
1028 (math-numberp (nth 1 (nth 1 a
))))
1029 (and (eq (car-safe (nth 1 a
)) '^
)
1030 (math-looks-negp (nth 2 (nth 1 a
)))))))
1031 (expr (math-compose-expr (if over
1033 (math-build-var-name
1036 (nth 1 (nth 2 a
)))))
1038 (calc-language 'flat
)
1039 (low (and (nth 3 a
) (math-compose-expr (nth 3 a
) 0)))
1040 (high (and (nth 4 a
) (math-compose-expr (nth 4 a
) 0))))
1043 (append (list 'vcent
(if high
3 2))
1044 (and high
(list (list 'horiz
" " high
)))
1050 (and low
(list (list 'horiz low
" "))))
1054 (list 'horiz
" d" var
))
1055 (if parens
")" "")))))
1057 (put 'calcFunc-sum
'math-compose-big
'math-compose-sum
)
1058 (defun math-compose-sum (a prec
)
1059 (and (memq (length a
) '(3 5 6))
1060 (let* ((expr (math-compose-expr (nth 1 a
) 185))
1061 (calc-language 'flat
)
1062 (var (math-compose-expr (nth 2 a
) 0))
1063 (low (and (nth 3 a
) (math-compose-expr (nth 3 a
) 0)))
1064 (high (and (nth 4 a
) (math-compose-vector (nthcdr 4 a
) ", " 0))))
1066 (if (memq prec
'(180 201)) "(" "")
1067 (append (list 'vcent
(if high
3 2))
1068 (and high
(list high
))
1075 (list (list 'horiz var
" = " low
))
1077 (if (memq (car-safe (nth 1 a
)) '(calcFunc-sum calcFunc-prod
))
1080 (if (memq prec
'(180 201)) ")" "")))))
1082 (put 'calcFunc-prod
'math-compose-big
'math-compose-prod
)
1083 (defun math-compose-prod (a prec
)
1084 (and (memq (length a
) '(3 5 6))
1085 (let* ((expr (math-compose-expr (nth 1 a
) 198))
1086 (calc-language 'flat
)
1087 (var (math-compose-expr (nth 2 a
) 0))
1088 (low (and (nth 3 a
) (math-compose-expr (nth 3 a
) 0)))
1089 (high (and (nth 4 a
) (math-compose-vector (nthcdr 4 a
) ", " 0))))
1091 (if (memq prec
'(196 201)) "(" "")
1092 (append (list 'vcent
(if high
3 2))
1093 (and high
(list high
))
1099 (list (list 'horiz var
" = " low
))
1101 (if (memq (car-safe (nth 1 a
)) '(calcFunc-sum calcFunc-prod
))
1104 (if (memq prec
'(196 201)) ")" "")))))
1106 ;; The variables math-svo-c, math-svo-wid and math-svo-off are local
1107 ;; to math-stack-value-offset in calc.el, but are used by
1108 ;; math-stack-value-offset-fancy, which is called by math-stack-value-offset..
1110 (defvar math-svo-wid
)
1111 (defvar math-svo-off
)
1113 (defun math-stack-value-offset-fancy ()
1114 (let ((cwid (+ (math-comp-width math-svo-c
))))
1115 (cond ((eq calc-display-just
'right
)
1116 (if calc-display-origin
1117 (setq math-svo-wid
(max calc-display-origin
5))
1118 (if (integerp calc-line-breaking
)
1119 (setq math-svo-wid calc-line-breaking
)))
1120 (setq math-svo-off
(- math-svo-wid cwid
1121 (max (- (length calc-right-label
)
1122 (if (and (integerp calc-line-breaking
)
1123 calc-display-origin
)
1124 (max (- calc-line-breaking
1125 calc-display-origin
)
1130 (if calc-display-origin
1132 (setq math-svo-off
(- calc-display-origin
(/ cwid
2)))
1133 (if (integerp calc-line-breaking
)
1134 (setq math-svo-off
(min math-svo-off
(- calc-line-breaking cwid
1135 (length calc-right-label
)))))
1136 (if (>= math-svo-off
0)
1137 (setq math-svo-wid
(max math-svo-wid
(+ math-svo-off cwid
)))))
1138 (if (integerp calc-line-breaking
)
1139 (setq math-svo-wid calc-line-breaking
))
1140 (setq math-svo-off
(/ (- math-svo-wid cwid
) 2)))))
1141 (and (integerp calc-line-breaking
)
1142 (or (< math-svo-off
0)
1143 (and calc-display-origin
1144 (> calc-line-breaking calc-display-origin
)))
1145 (setq math-svo-wid calc-line-breaking
))))
1148 ;;; Convert a composition to string form, with embedded \n's if necessary.
1150 (defun math-composition-to-string (c &optional width
)
1151 (or width
(setq width
(calc-window-width)))
1152 (if calc-display-raw
1153 (math-comp-to-string-raw c
0)
1154 (if (math-comp-is-flat c
)
1155 (math-comp-to-string-flat c width
)
1156 (math-vert-comp-to-string
1157 (math-comp-simplify c width
)))))
1159 (defvar math-comp-buf-string
(make-vector 10 ""))
1160 (defvar math-comp-buf-margin
(make-vector 10 0))
1161 (defvar math-comp-buf-level
(make-vector 10 0))
1162 (defun math-comp-is-flat (c) ; check if c's height is 1.
1163 (cond ((not (consp c
)) t
)
1164 ((memq (car c
) '(set break
)) t
)
1165 ((eq (car c
) 'horiz
)
1166 (while (and (setq c
(cdr c
))
1167 (math-comp-is-flat (car c
))))
1169 ((memq (car c
) '(vleft vcent vright
))
1170 (and (= (length c
) 3)
1172 (math-comp-is-flat (nth 2 c
))))
1174 (math-comp-is-flat (nth 2 c
)))
1178 ;;; Convert a one-line composition to a string. Break into multiple
1179 ;;; lines if necessary, choosing break points according to the structure
1182 ;; The variables math-comp-full-width, math-comp-highlight, math-comp-word,
1183 ;; math-comp-level, math-comp-margin and math-comp-buf are local to
1184 ;; math-comp-to-string-flat, but are used by math-comp-to-string-flat-term,
1185 ;; which is called by math-comp-to-string-flat.
1186 ;; math-comp-highlight and math-comp-buf are also local to
1187 ;; math-comp-simplify-term and math-comp-simplify respectively, but are used
1188 ;; by math-comp-add-string.
1189 (defvar math-comp-full-width
)
1190 (defvar math-comp-highlight
)
1191 (defvar math-comp-word
)
1192 (defvar math-comp-level
)
1193 (defvar math-comp-margin
)
1194 (defvar math-comp-buf
)
1195 ;; The variable math-comp-pos is local to math-comp-to-string-flat, but
1196 ;; is used by math-comp-to-string-flat-term and math-comp-sel-first-term,
1197 ;; which are called by math-comp-to-string-flat.
1198 (defvar math-comp-pos
)
1200 (defun math-comp-to-string-flat (c math-comp-full-width
)
1201 (if math-comp-sel-hpos
1202 (let ((math-comp-pos 0))
1203 (math-comp-sel-flat-term c
))
1204 (let ((math-comp-buf "")
1207 (math-comp-margin 0)
1208 (math-comp-highlight (and math-comp-selected calc-show-selections
))
1209 (math-comp-level -
1))
1210 (math-comp-to-string-flat-term '(set -
1 0))
1211 (math-comp-to-string-flat-term c
)
1212 (math-comp-to-string-flat-term '(break -
1))
1213 (let ((str (aref math-comp-buf-string
0))
1215 (and (> (length str
) 0) (= (aref str
0) ?
)
1216 (> (length math-comp-buf
) 0)
1217 (let ((k (length math-comp-buf
)))
1218 (while (not (= (aref math-comp-buf
(setq k
(1- k
))) ?
\n)))
1219 (aset math-comp-buf k ?
)
1220 (if (and (< (1+ k
) (length math-comp-buf
))
1221 (= (aref math-comp-buf
(1+ k
)) ?
))
1223 (aset math-comp-buf
(1+ k
) ?
\n)
1225 (setq prefix
"\n"))))
1226 (concat math-comp-buf prefix str
)))))
1228 (defun math-comp-to-string-flat-term (c)
1229 (cond ((not (consp c
))
1230 (if math-comp-highlight
1231 (setq c
(math-comp-highlight-string c
)))
1232 (setq math-comp-word
(if (= (length math-comp-word
) 0) c
1233 (concat math-comp-word c
))
1234 math-comp-pos
(+ math-comp-pos
(length c
))))
1236 ((eq (car c
) 'horiz
)
1237 (while (setq c
(cdr c
))
1238 (math-comp-to-string-flat-term (car c
))))
1243 (setq math-comp-level
(1+ math-comp-level
))
1244 (if (>= math-comp-level
(length math-comp-buf-string
))
1245 (setq math-comp-buf-string
(vconcat math-comp-buf-string
1246 math-comp-buf-string
)
1247 math-comp-buf-margin
(vconcat math-comp-buf-margin
1248 math-comp-buf-margin
)
1249 math-comp-buf-level
(vconcat math-comp-buf-level
1250 math-comp-buf-level
)))
1251 (aset math-comp-buf-string math-comp-level
"")
1252 (aset math-comp-buf-margin math-comp-level
(+ math-comp-pos
1254 (aset math-comp-buf-level math-comp-level
(nth 1 c
)))))
1256 ((eq (car c
) 'break
)
1257 (if (not calc-line-breaking
)
1258 (setq math-comp-buf
(concat math-comp-buf math-comp-word
)
1261 (if (and (> math-comp-pos math-comp-full-width
)
1264 (setq str
(aref math-comp-buf-string i
))
1265 (and (= (length str
) 0) (< i math-comp-level
)))
1267 (or (> (length str
) 0) (> (length math-comp-buf
) 0))))
1268 (let ((prefix "") mrg wid
)
1269 (setq mrg
(aref math-comp-buf-margin i
))
1270 (if (> mrg
12) ; indenting too far, go back to far left
1271 (let ((j i
) (new (if calc-line-numbering
5 1)))
1272 '(while (<= j math-comp-level
)
1273 (aset math-comp-buf-margin j
1274 (+ (aref math-comp-buf-margin j
) (- new mrg
)))
1277 (setq wid
(+ (length str
) math-comp-margin
))
1278 (and (> (length str
) 0) (= (aref str
0) ?
)
1279 (> (length math-comp-buf
) 0)
1280 (let ((k (length math-comp-buf
)))
1281 (while (not (= (aref math-comp-buf
(setq k
(1- k
))) ?
\n)))
1282 (aset math-comp-buf k ?
)
1283 (if (and (< (1+ k
) (length math-comp-buf
))
1284 (= (aref math-comp-buf
(1+ k
)) ?
))
1286 (aset math-comp-buf
(1+ k
) ?
\n)
1288 (setq prefix
"\n"))))
1289 (setq math-comp-buf
(concat math-comp-buf prefix str
"\n"
1290 (make-string mrg ?
))
1291 math-comp-pos
(+ math-comp-pos
(- mrg wid
))
1292 math-comp-margin mrg
)
1293 (aset math-comp-buf-string i
"")
1294 (while (<= (setq i
(1+ i
)) math-comp-level
)
1295 (if (> (aref math-comp-buf-margin i
) wid
)
1296 (aset math-comp-buf-margin i
1297 (+ (aref math-comp-buf-margin i
)
1299 (if (and (= (nth 1 c
) (aref math-comp-buf-level math-comp-level
))
1300 (< math-comp-pos
(+ (aref math-comp-buf-margin math-comp-level
) 2)))
1301 () ; avoid stupid breaks, e.g., "1 +\n really_long_expr"
1302 (let ((str (aref math-comp-buf-string math-comp-level
)))
1303 (setq str
(if (= (length str
) 0)
1305 (concat str math-comp-word
))
1307 (while (< (nth 1 c
) (aref math-comp-buf-level math-comp-level
))
1308 (setq math-comp-level
(1- math-comp-level
))
1309 (or (= (length (aref math-comp-buf-string math-comp-level
)) 0)
1310 (setq str
(concat (aref math-comp-buf-string math-comp-level
)
1312 (aset math-comp-buf-string math-comp-level str
)))))
1315 (cond ((eq (nth 1 c
) math-comp-selected
)
1316 (let ((math-comp-highlight (not calc-show-selections
)))
1317 (math-comp-to-string-flat-term (nth 2 c
))))
1319 (let ((math-comp-highlight nil
))
1320 (math-comp-to-string-flat-term (nth 2 c
))))
1321 (t (math-comp-to-string-flat-term (nth 2 c
)))))
1323 (t (math-comp-to-string-flat-term (nth 2 c
)))))
1325 (defun math-comp-highlight-string (s)
1326 (setq s
(copy-sequence s
))
1327 (let ((i (length s
)))
1328 (while (>= (setq i
(1- i
)) 0)
1329 (or (memq (aref s i
) '(32 ?
\n))
1330 (aset s i
(if calc-show-selections ?\. ?\
#)))))
1334 ;; The variable math-comp-sel-tag is local to calc-find-selected-part
1335 ;; in calc-sel.el, but is used by math-comp-sel-flat-term and
1336 ;; math-comp-add-string-sel, which are called (indirectly) by
1337 ;; calc-find-selected-part.
1338 (defvar math-comp-sel-tag
)
1340 (defun math-comp-sel-flat-term (c)
1341 (cond ((not (consp c
))
1342 (setq math-comp-pos
(+ math-comp-pos
(length c
))))
1343 ((memq (car c
) '(set break
)))
1344 ((eq (car c
) 'horiz
)
1345 (while (and (setq c
(cdr c
)) (< math-comp-sel-cpos
1000000))
1346 (math-comp-sel-flat-term (car c
))))
1348 (if (<= math-comp-pos math-comp-sel-cpos
)
1350 (math-comp-sel-flat-term (nth 2 c
))
1351 (if (> math-comp-pos math-comp-sel-cpos
)
1352 (setq math-comp-sel-tag c
1353 math-comp-sel-cpos
1000000)))
1354 (math-comp-sel-flat-term (nth 2 c
))))
1355 (t (math-comp-sel-flat-term (nth 2 c
)))))
1358 ;;; Simplify a composition to a canonical form consisting of
1359 ;;; (vleft n "string" "string" "string" ...)
1360 ;;; where 0 <= n < number-of-strings.
1362 ;; The variables math-comp-base, math-comp-hgt, math-comp-tag,
1363 ;; math-comp-hpos and math-comp-vpos are local to math-comp-simplify,
1364 ;; but are used by math-comp-add-string (math-comp-base, math-comp-hgt),
1365 ;; math-comp-add-string-sel (math-comp-tag) and math-comp-simplify-term
1366 ;; (math-comp-tag, math-comp-vpos, math-comp-hpos), which are called by
1367 ;; math-comp-simplify.
1368 (defvar math-comp-base
)
1369 (defvar math-comp-hgt
)
1370 (defvar math-comp-tag
)
1371 (defvar math-comp-hpos
)
1372 (defvar math-comp-vpos
)
1374 (defun math-comp-simplify (c full-width
)
1375 (let ((math-comp-buf (list ""))
1380 (math-comp-highlight (and math-comp-selected calc-show-selections
))
1381 (math-comp-tag nil
))
1382 (math-comp-simplify-term c
)
1383 (cons 'vleft
(cons math-comp-base math-comp-buf
))))
1385 (defun math-comp-add-string (s h v
)
1386 (and (> (length s
) 0)
1387 (let ((vv (+ v math-comp-base
)))
1388 (if math-comp-sel-hpos
1389 (math-comp-add-string-sel h vv
(length s
) 1)
1391 (setq math-comp-buf
(nconc (make-list (- vv
) "") math-comp-buf
)
1392 math-comp-base
(- v
)
1393 math-comp-hgt
(- math-comp-hgt vv
)
1395 (if (>= vv math-comp-hgt
)
1396 (setq math-comp-buf
(nconc math-comp-buf
1397 (make-list (1+ (- vv math-comp-hgt
)) ""))
1398 math-comp-hgt
(1+ vv
))))
1399 (let ((str (nthcdr vv math-comp-buf
)))
1400 (setcar str
(concat (car str
)
1401 (make-string (- h
(length (car str
))) 32)
1402 (if math-comp-highlight
1403 (math-comp-highlight-string s
)
1406 (defun math-comp-add-string-sel (x y w h
)
1407 (if (and (<= y math-comp-sel-vpos
)
1408 (> (+ y h
) math-comp-sel-vpos
)
1409 (<= x math-comp-sel-hpos
)
1410 (> (+ x w
) math-comp-sel-hpos
))
1411 (setq math-comp-sel-tag math-comp-tag
1412 math-comp-sel-vpos
10000)))
1414 (defun math-comp-simplify-term (c)
1416 (math-comp-add-string c math-comp-hpos math-comp-vpos
)
1417 (setq math-comp-hpos
(+ math-comp-hpos
(length c
))))
1418 ((memq (car c
) '(set break
))
1420 ((eq (car c
) 'horiz
)
1421 (while (setq c
(cdr c
))
1422 (math-comp-simplify-term (car c
))))
1423 ((memq (car c
) '(vleft vcent vright
))
1424 (let* ((math-comp-vpos (+ (- math-comp-vpos
(nth 1 c
))
1425 (1- (math-comp-ascent (nth 2 c
)))))
1426 (widths (mapcar 'math-comp-width
(cdr (cdr c
))))
1427 (maxwid (apply 'max widths
))
1428 (bias (cond ((eq (car c
) 'vleft
) 0)
1429 ((eq (car c
) 'vcent
) 1)
1432 (while (setq c
(cdr c
))
1433 (if (eq (car-safe (car c
)) 'rule
)
1434 (math-comp-add-string (make-string maxwid
(nth 1 (car c
)))
1435 math-comp-hpos math-comp-vpos
)
1436 (let ((math-comp-hpos (+ math-comp-hpos
(/ (* bias
(- maxwid
1439 (math-comp-simplify-term (car c
))))
1441 (setq math-comp-vpos
(+ math-comp-vpos
1442 (+ (math-comp-descent (car c
))
1443 (math-comp-ascent (nth 1 c
))))
1444 widths
(cdr widths
))))
1445 (setq math-comp-hpos
(+ math-comp-hpos maxwid
))))
1446 ((eq (car c
) 'supscr
)
1447 (let* ((asc (or 1 (math-comp-ascent (nth 1 c
))))
1448 (desc (math-comp-descent (nth 2 c
)))
1451 (math-comp-simplify-term (nth 1 c
))))
1452 (math-comp-vpos (- math-comp-vpos
(+ asc desc
))))
1453 (math-comp-simplify-term (nth 2 c
))
1454 (if math-comp-sel-hpos
1455 (math-comp-add-string-sel oldh
1458 (math-comp-ascent (nth 2 c
)))
1459 (- math-comp-hpos oldh
)
1460 (math-comp-height c
)))))
1461 ((eq (car c
) 'subscr
)
1462 (let* ((asc (math-comp-ascent (nth 2 c
)))
1463 (desc (math-comp-descent (nth 1 c
)))
1464 (oldv math-comp-vpos
)
1467 (math-comp-simplify-term (nth 1 c
))))
1468 (math-comp-vpos (+ math-comp-vpos
(+ asc desc
))))
1469 (math-comp-simplify-term (nth 2 c
))
1470 (if math-comp-sel-hpos
1471 (math-comp-add-string-sel oldh oldv
1472 (- math-comp-hpos oldh
)
1473 (math-comp-height c
)))))
1475 (cond ((eq (nth 1 c
) math-comp-selected
)
1476 (let ((math-comp-highlight (not calc-show-selections
)))
1477 (math-comp-simplify-term (nth 2 c
))))
1479 (let ((math-comp-highlight nil
))
1480 (math-comp-simplify-term (nth 2 c
))))
1481 (t (let ((math-comp-tag c
))
1482 (math-comp-simplify-term (nth 2 c
))))))))
1485 ;;; Measuring a composition.
1487 (defun math-comp-first-char (c)
1489 (and (> (length c
) 0)
1491 ((memq (car c
) '(horiz subscr supscr
))
1492 (while (and (setq c
(cdr c
))
1493 (math-comp-is-null (car c
))))
1494 (and c
(math-comp-first-char (car c
))))
1496 (math-comp-first-char (nth 2 c
)))))
1498 (defun math-comp-first-string (c)
1500 (and (> (length c
) 0)
1502 ((eq (car c
) 'horiz
)
1503 (while (and (setq c
(cdr c
))
1504 (math-comp-is-null (car c
))))
1505 (and c
(math-comp-first-string (car c
))))
1507 (math-comp-first-string (nth 2 c
)))))
1509 (defun math-comp-last-char (c)
1511 (and (> (length c
) 0)
1512 (elt c
(1- (length c
)))))
1513 ((eq (car c
) 'horiz
)
1514 (let ((c (reverse (cdr c
))))
1515 (while (and c
(math-comp-is-null (car c
)))
1517 (and c
(math-comp-last-char (car c
)))))
1519 (math-comp-last-char (nth 2 c
)))))
1521 (defun math-comp-is-null (c)
1522 (cond ((stringp c
) (= (length c
) 0))
1523 ((memq (car c
) '(horiz subscr supscr
))
1524 (while (and (setq c
(cdr c
))
1525 (math-comp-is-null (car c
))))
1528 (math-comp-is-null (nth 2 c
)))
1529 ((memq (car c
) '(set break
)) t
)))
1531 (defun math-comp-width (c)
1532 (cond ((not (consp c
)) (length c
))
1533 ((memq (car c
) '(horiz subscr supscr
))
1535 (while (setq c
(cdr c
))
1536 (setq accum
(+ accum
(math-comp-width (car c
)))))
1538 ((memq (car c
) '(vcent vleft vright
))
1541 (while (setq c
(cdr c
))
1542 (setq accum
(max accum
(math-comp-width (car c
)))))
1545 (math-comp-width (nth 2 c
)))
1548 (defun math-comp-height (c)
1551 (+ (math-comp-ascent c
) (math-comp-descent c
))))
1553 (defun math-comp-ascent (c)
1554 (cond ((not (consp c
)) 1)
1555 ((eq (car c
) 'horiz
)
1557 (while (setq c
(cdr c
))
1558 (setq accum
(max accum
(math-comp-ascent (car c
)))))
1560 ((memq (car c
) '(vcent vleft vright
))
1561 (if (> (nth 1 c
) 0) (1+ (nth 1 c
)) 1))
1562 ((eq (car c
) 'supscr
)
1563 (max (math-comp-ascent (nth 1 c
)) (1+ (math-comp-height (nth 2 c
)))))
1564 ((eq (car c
) 'subscr
)
1565 (math-comp-ascent (nth 1 c
)))
1567 (math-comp-ascent (nth 2 c
)))
1570 (defun math-comp-descent (c)
1571 (cond ((not (consp c
)) 0)
1572 ((eq (car c
) 'horiz
)
1574 (while (setq c
(cdr c
))
1575 (setq accum
(max accum
(math-comp-descent (car c
)))))
1577 ((memq (car c
) '(vcent vleft vright
))
1578 (let ((accum (- (nth 1 c
))))
1580 (while (setq c
(cdr c
))
1581 (setq accum
(+ accum
(math-comp-height (car c
)))))
1582 (max (1- accum
) 0)))
1583 ((eq (car c
) 'supscr
)
1584 (math-comp-descent (nth 1 c
)))
1585 ((eq (car c
) 'subscr
)
1586 (+ (math-comp-descent (nth 1 c
)) (math-comp-height (nth 2 c
))))
1588 (math-comp-descent (nth 2 c
)))
1591 (defun calcFunc-cwidth (a &optional prec
)
1592 (if (and prec
(not (integerp prec
))) (math-reject-arg prec
'fixnump
))
1593 (math-comp-width (math-compose-expr a
(or prec
0))))
1595 (defun calcFunc-cheight (a &optional prec
)
1596 (if (and prec
(not (integerp prec
))) (math-reject-arg prec
'fixnump
))
1597 (if (and (memq (car a
) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace
))
1598 (memq (length a
) '(2 3))
1601 (math-comp-height (math-compose-expr a
(or prec
0)))))
1603 (defun calcFunc-cascent (a &optional prec
)
1604 (if (and prec
(not (integerp prec
))) (math-reject-arg prec
'fixnump
))
1605 (if (and (memq (car a
) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace
))
1606 (memq (length a
) '(2 3))
1609 (math-comp-ascent (math-compose-expr a
(or prec
0)))))
1611 (defun calcFunc-cdescent (a &optional prec
)
1612 (if (and prec
(not (integerp prec
))) (math-reject-arg prec
'fixnump
))
1613 (math-comp-descent (math-compose-expr a
(or prec
0))))
1616 ;;; Convert a simplified composition into string form.
1618 (defun math-vert-comp-to-string (c)
1621 (math-vert-comp-to-string-step (cdr (cdr c
)))))
1623 (defun math-vert-comp-to-string-step (c)
1625 (concat (car c
) "\n" (math-vert-comp-to-string-step (cdr c
)))
1629 ;;; Convert a composition to a string in "raw" form (for debugging).
1631 (defun math-comp-to-string-raw (c indent
)
1632 (cond ((or (not (consp c
)) (eq (car c
) 'set
))
1633 (prin1-to-string c
))
1635 (concat "(" (symbol-name (car c
)) ")"))
1637 (let ((next-indent (+ indent
2 (length (symbol-name (car c
))))))
1639 (symbol-name (car c
))
1641 (math-comp-to-string-raw (nth 1 c
) next-indent
)
1642 (math-comp-to-string-raw-step (cdr (cdr c
))
1646 (defun math-comp-to-string-raw-step (cl indent
)
1649 (make-string indent
32)
1650 (math-comp-to-string-raw (car cl
) indent
)
1651 (math-comp-to-string-raw-step (cdr cl
) indent
))
1656 ;;; arch-tag: 7c45d10a-a286-4dab-af49-7ae8989fbf78
1657 ;;; calccomp.el ends here