1 ;;; calccomp.el --- composition functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
4 ;; 2005, 2006, 2007, 2008 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 (setq sn
(symbol-name (nth 1 a
)))
86 (if (memq calc-language calc-lang-allow-percentsigns
)
87 (setq sn
(math-to-percentsigns sn
)))
88 (if (memq calc-language calc-lang-allow-underscores
)
89 (setq sn
(math-to-underscores sn
)))
92 (defun math-compose-expr (a prec
)
93 (let ((math-compose-level (1+ math-compose-level
))
94 (math-expr-opers (math-expr-ops))
97 ((or (and (eq a math-comp-selected
) a
)
99 (not (eq math-comp-tagged a
))))
100 (let ((math-comp-selected nil
))
101 (and math-comp-tagged
(setq math-comp-tagged a
))
102 (list 'tag a
(math-compose-expr a prec
))))
103 ((and (not (consp a
)) (not (integerp a
)))
104 (concat "'" (prin1-to-string a
)))
105 ((setq spfn
(assq (car-safe a
)
106 (get calc-language
'math-special-function-table
)))
107 (setq spfn
(cdr spfn
))
109 (funcall (car spfn
) a spfn
)
112 (if (or (eq (car-safe a
) 'frac
)
113 (and (nth 1 calc-frac-format
) (Math-integerp a
)))
116 (not (memq calc-language
117 '(flat big unform
))))
118 (let ((aa (math-adjust-fraction a
))
119 (calc-frac-format nil
))
120 (math-compose-expr (list '/
121 (if (memq calc-language
122 calc-lang-slash-idiv
)
123 (math-float (nth 1 aa
))
126 (if (and (eq calc-language
'big
)
127 (= (length (car calc-frac-format
)) 1))
128 (let* ((aa (math-adjust-fraction a
))
129 (calc-frac-format nil
)
130 (math-radix-explicit-format nil
)
132 (if (math-negp (nth 1 aa
))
136 (math-abs (nth 1 aa
)))
138 (math-format-number (nth 2 aa
))))))
139 (if (= calc-number-radix
10)
143 (int-to-string calc-number-radix
)))))
144 (math-format-number a
)))
145 (if (not (eq calc-language
'big
))
146 (math-format-number a prec
)
147 (if (memq (car-safe a
) '(cplx polar
))
148 (if (math-zerop (nth 2 a
))
149 (math-compose-expr (nth 1 a
) prec
)
151 (math-compose-expr (nth 1 a
) 0)
152 (if (eq (car a
) 'cplx
) ", " "; ")
153 (math-compose-expr (nth 2 a
) 0) ")"))
154 (if (or (= calc-number-radix
10)
156 (and calc-group-digits
157 (not (assoc calc-group-char
'((",") (" "))))))
158 (math-format-number a prec
)
159 (let ((s (math-format-number a prec
))
161 (while (string-match (if (> calc-number-radix
14)
162 "\\([0-9]+\\)#\\([0-9a-zA-Z., ]+\\)"
163 "\\([0-9]+\\)#\\([0-9a-dA-D., ]+\\)")
165 (setq c
(nconc c
(list (substring s
0 (match-beginning 0))
167 (math-match-substring s
2)
168 (math-match-substring s
1))))
169 s
(substring s
(match-end 0))))
171 "\\*\\([0-9.]+\\)\\^\\(-?[0-9]+\\)\\()?\\)\\'" s
)
173 (substring s
0 (match-beginning 0)) " "
175 (math-match-substring s
1)
176 (math-match-substring s
2))
177 (math-match-substring s
3))))
178 (if c
(cons 'horiz
(nconc c
(list s
))) s
)))))))
179 ((and (get (car a
) 'math-compose-forms
)
180 (not (eq calc-language
'unform
))
181 (let ((comps (get (car a
) 'math-compose-forms
))
183 (or (and (setq temp
(assq calc-language comps
))
184 (or (and (setq temp2
(assq (1- (length a
)) (cdr temp
)))
185 (setq temp
(apply (cdr temp2
) (cdr a
)))
186 (math-compose-expr temp prec
))
187 (and (setq temp2
(assq nil
(cdr temp
)))
188 (funcall (cdr temp2
) a
))))
189 (and (setq temp
(assq nil comps
))
190 (or (and (setq temp2
(assq (1- (length a
)) (cdr temp
)))
191 (setq temp
(apply (cdr temp2
) (cdr a
)))
192 (math-compose-expr temp prec
))
193 (and (setq temp2
(assq nil
(cdr temp
)))
194 (funcall (cdr temp2
) a
))))))))
196 (let* ((math-comp-left-bracket (if calc-vector-brackets
197 (substring calc-vector-brackets
0 1) ""))
198 (math-comp-right-bracket (if calc-vector-brackets
199 (substring calc-vector-brackets
1 2) ""))
200 (inner-brackets (memq 'R calc-matrix-brackets
))
201 (outer-brackets (memq 'O calc-matrix-brackets
))
202 (row-commas (memq 'C calc-matrix-brackets
))
203 (math-comp-comma-spc (or calc-vector-commas
" "))
204 (math-comp-comma (or calc-vector-commas
""))
205 (math-comp-vector-prec (if (or (and calc-vector-commas
206 (math-vector-no-parens a
))
207 (memq 'P calc-matrix-brackets
)) 0 1000))
208 (math-comp-just (cond ((eq calc-matrix-just
'right
) 'vright
)
209 ((eq calc-matrix-just
'center
) 'vcent
)
211 (break calc-break-vectors
))
212 (if (and (memq calc-language
'(nil big
))
213 (not calc-break-vectors
)
214 (math-matrixp a
) (not (math-matrixp (nth 1 a
)))
215 (or calc-full-vectors
216 (and (< (length a
) 7) (< (length (nth 1 a
)) 7))
217 (progn (setq break t
) nil
)))
219 (setq math-comp-vector-prec
(if (or (and calc-vector-commas
220 (math-vector-no-parens
222 (memq 'P calc-matrix-brackets
))
226 (concat math-comp-left-bracket math-comp-left-bracket
" ")
227 (math-compose-vector (cdr (nth 1 a
)) (concat math-comp-comma
" ")
228 math-comp-vector-prec
)
229 (concat " " math-comp-right-bracket math-comp-right-bracket
))
230 (let* ((rows (1- (length a
)))
231 (cols (1- (length (nth 1 a
))))
232 (base (/ (1- rows
) 2))
233 (calc-language 'flat
))
235 (list (append '(vleft)
237 (list (concat (and outer-brackets
238 (concat math-comp-left-bracket
241 (concat math-comp-left-bracket
244 (concat (and outer-brackets
248 math-comp-left-bracket
250 (math-compose-matrix (cdr a
) 1 cols base
)
251 (list (append '(vleft)
256 math-comp-right-bracket
259 (if (and outer-brackets
265 math-comp-right-bracket
))
269 math-comp-right-bracket
)))))))))
270 (if (and calc-display-strings
272 (math-vector-is-string a
))
273 (math-vector-to-string a t
)
274 (if (and break
(cdr a
)
275 (not (eq calc-language
'flat
)))
276 (let* ((full (or calc-full-vectors
(< (length a
) 7)))
277 (rows (if full
(1- (length a
)) 5))
278 (base (/ (1- rows
) 2))
279 (calc-break-vectors nil
))
281 (cons 'vleft
(cons base
284 (if full rows
3) t
)))))
285 (if (or calc-full-vectors
(< (length a
) 7))
287 (setq spfn
(get calc-language
'math-matrix-formatter
))
291 math-comp-left-bracket
292 (math-compose-vector (cdr a
)
293 (concat math-comp-comma
" ")
294 math-comp-vector-prec
)
295 math-comp-right-bracket
))
297 math-comp-left-bracket
298 (math-compose-vector (list (nth 1 a
) (nth 2 a
) (nth 3 a
))
299 (concat math-comp-comma
" ")
300 math-comp-vector-prec
)
302 (if (setq spfn
(get calc-language
'math-dots
))
306 (list 'break math-compose-level
)
307 (math-compose-expr (nth (1- (length a
)) a
)
308 (if (equal math-comp-comma
"") 1000 0))
309 math-comp-right-bracket
)))))))
310 ((eq (car a
) 'incomplete
)
312 (cond ((eq (nth 1 a
) 'vec
)
314 (math-compose-vector (cdr (cdr a
)) ", " 0)
316 ((eq (nth 1 a
) 'cplx
)
318 (math-compose-vector (cdr (cdr a
)) ", " 0)
320 ((eq (nth 1 a
) 'polar
)
322 (math-compose-vector (cdr (cdr a
)) "; " 0)
324 ((eq (nth 1 a
) 'intv
)
326 (if (memq (nth 2 a
) '(0 1)) "(" "[")
327 (math-compose-vector (cdr (cdr (cdr a
))) " .. " 0)
330 (cond ((eq (nth 1 a
) 'vec
) "[ ...")
331 ((eq (nth 1 a
) 'intv
)
332 (if (memq (nth 2 a
) '(0 1)) "( ..." "[ ..."))
335 (let ((v (rassq (nth 2 a
) math-expr-variable-mapping
)))
337 (symbol-name (car v
))
338 (if (setq spfn
(get calc-language
'math-var-formatter
))
339 (funcall spfn a prec
)
340 (math-compose-var a
)))))
343 (if (memq (nth 1 a
) '(0 1)) "(" "[")
344 (math-compose-expr (nth 2 a
) 0)
346 (math-compose-expr (nth 3 a
) 0)
347 (if (memq (nth 1 a
) '(0 2)) ")" "]")))
349 (if (eq (car calc-date-format
) 'X
)
351 (concat "<" (math-format-date a
) ">")))
352 ((and (eq (car a
) 'calcFunc-subscr
)
353 (setq spfn
(get calc-language
'math-compose-subscr
)))
355 ((and (eq (car a
) 'calcFunc-subscr
) (= (length a
) 3)
356 (eq calc-language
'big
))
357 (let* ((a1 (math-compose-expr (nth 1 a
) 1000))
358 (calc-language 'flat
)
359 (a2 (math-compose-expr (nth 2 a
) 0)))
360 (if (or (eq (car-safe a1
) 'subscr
)
361 (and (eq (car-safe a1
) 'tag
)
362 (eq (car-safe (nth 2 a1
)) 'subscr
)
363 (setq a1
(nth 2 a1
))))
370 (list 'subscr a1 a2
))))
371 ((and (eq (car a
) '^
)
372 (eq calc-language
'big
))
374 (if (or (math-looks-negp (nth 1 a
))
375 (memq (car-safe (nth 1 a
)) '(^
/ frac calcFunc-sqrt
))
376 (and (eq (car-safe (nth 1 a
)) 'cplx
)
377 (math-negp (nth 1 (nth 1 a
)))
378 (eq (nth 2 (nth 1 a
)) 0)))
379 (list 'horiz
"(" (math-compose-expr (nth 1 a
) 0) ")")
380 (math-compose-expr (nth 1 a
) 201))
381 (let ((calc-language 'flat
)
382 (calc-number-radix 10))
383 (math-compose-expr (nth 2 a
) 0))))
384 ((and (eq (car a
) '/)
385 (eq calc-language
'big
))
386 (let ((a1 (let ((calc-language (if (memq (car-safe (nth 1 a
)) '(/ frac
))
388 (math-compose-expr (nth 1 a
) 0)))
389 (a2 (let ((calc-language (if (memq (car-safe (nth 2 a
)) '(/ frac
))
391 (math-compose-expr (nth 2 a
) 0))))
393 (math-comp-height a1
)
395 ((and (eq (car a
) 'calcFunc-lambda
)
397 (memq calc-language
'(nil flat big
)))
400 (math-compose-hash-args (if (= (length a
) 3) 1 t
)))
401 (while (and (cdr p
) (equal (car p
) (car ap
)))
402 (setq p
(cdr p
) ap
(cdr ap
)))
405 (list (math-compose-vector
406 (nreverse (cdr (reverse (cdr a
)))) ", " 0)
409 (list (math-compose-expr (nth (1- (length a
)) a
) 0)
411 ((and (eq (car a
) 'calcFunc-string
)
413 (math-vectorp (nth 1 a
))
414 (math-vector-is-string (nth 1 a
)))
415 (if (eq calc-language
'unform
)
416 (concat "string(" (math-vector-to-string (nth 1 a
) t
) ")")
417 (math-vector-to-string (nth 1 a
) nil
)))
418 ((and (eq (car a
) 'calcFunc-bstring
)
420 (math-vectorp (nth 1 a
))
421 (math-vector-is-string (nth 1 a
)))
422 (if (eq calc-language
'unform
)
423 (concat "bstring(" (math-vector-to-string (nth 1 a
) t
) ")")
425 (s (math-vector-to-string (nth 1 a
) nil
))
427 (while (string-match "[^ ] +[^ ]" s
)
428 (setq p
(1- (match-end 0))
429 c
(cons (list 'break math-compose-level
)
430 (cons (substring s
0 p
)
433 (setq c
(nreverse (cons s c
)))
435 (setq c
(cons (list 'set math-compose-level
2) c
)))
437 ((and (eq (car a
) 'calcFunc-cprec
)
438 (not (eq calc-language
'unform
))
440 (integerp (nth 2 a
)))
441 (let ((c (math-compose-expr (nth 1 a
) -
1)))
442 (if (> prec
(nth 2 a
))
443 (if (setq spfn
(get calc-language
'math-big-parens
))
444 (list 'horiz
(car spfn
) c
(cdr spfn
))
445 (list 'horiz
"(" c
")"))
447 ((and (eq (car a
) 'calcFunc-choriz
)
448 (not (eq calc-language
'unform
))
449 (memq (length a
) '(2 3 4))
450 (math-vectorp (nth 1 a
))
451 (if (integerp (nth 2 a
))
453 (and (math-vectorp (nth 3 a
))
454 (math-vector-is-string (nth 3 a
))))
456 (and (math-vectorp (nth 2 a
))
457 (math-vector-is-string (nth 2 a
))))))
458 (let* ((cprec (and (integerp (nth 2 a
)) (nth 2 a
)))
459 (sep (nth (if cprec
3 2) a
))
462 (math-compose-vector (cdr (nth 1 a
))
463 (math-vector-to-string sep nil
)
465 (cons 'horiz
(mapcar (function
467 (if (eq (car-safe x
) 'calcFunc-bstring
)
470 x
(or bprec cprec prec
))
472 (math-compose-expr x
(or cprec prec
)))))
474 ((and (memq (car a
) '(calcFunc-cvert calcFunc-clvert calcFunc-crvert
))
475 (not (eq calc-language
'unform
))
476 (memq (length a
) '(2 3))
477 (math-vectorp (nth 1 a
))
479 (integerp (nth 2 a
))))
482 (prec (or (nth 2 a
) prec
))
485 (let ((b nil
) (cc nil
) a d
)
486 (if (and (memq (car-safe x
) '(calcFunc-cbase
489 (memq (length x
) '(1 2)))
492 (if (and (eq (car-safe x
) 'calcFunc-crule
)
493 (memq (length x
) '(1 2))
495 (and (math-vectorp (nth 1 x
))
496 (= (length (nth 1 x
)) 2)
497 (math-vector-is-string
499 (and (natnump (nth 1 x
))
500 (<= (nth 1 x
) 255))))
503 (if (math-vectorp (nth 1 x
))
504 (aref (math-vector-to-string
507 (or (and (memq (car-safe x
) '(calcFunc-cvspace
510 (memq (length x
) '(2 3))
513 (setq cc
(math-compose-expr x prec
))))
514 (setq a
(if cc
(math-comp-ascent cc
) 0)
515 d
(if cc
(math-comp-descent cc
) 0))
516 (if (eq b
'calcFunc-cbase
)
517 (setq base
(+ v a -
1))
518 (if (eq b
'calcFunc-ctbase
)
520 (if (eq b
'calcFunc-cbbase
)
521 (setq base
(+ v a d -
1)))))
525 (setq c
(delq nil c
))
527 (cons (if (eq (car a
) 'calcFunc-cvert
) 'vcent
528 (if (eq (car a
) 'calcFunc-clvert
) 'vleft
'vright
))
531 ((and (memq (car a
) '(calcFunc-csup calcFunc-csub
))
532 (not (eq calc-language
'unform
))
533 (memq (length a
) '(3 4))
535 (integerp (nth 3 a
))))
536 (list (if (eq (car a
) 'calcFunc-csup
) 'supscr
'subscr
)
537 (math-compose-expr (nth 1 a
) (or (nth 3 a
) 0))
538 (math-compose-expr (nth 2 a
) 0)))
539 ((and (eq (car a
) 'calcFunc-cflat
)
540 (not (eq calc-language
'unform
))
541 (memq (length a
) '(2 3))
543 (integerp (nth 2 a
))))
544 (let ((calc-language (if (memq calc-language
'(nil big
))
545 'flat calc-language
)))
546 (math-compose-expr (nth 1 a
) (or (nth 2 a
) 0))))
547 ((and (eq (car a
) 'calcFunc-cspace
)
548 (memq (length a
) '(2 3))
551 (cons 'horiz
(make-list (nth 1 a
)
552 (if (and (math-vectorp (nth 2 a
))
553 (math-vector-is-string (nth 2 a
)))
554 (math-vector-to-string (nth 2 a
) nil
)
555 (math-compose-expr (nth 2 a
) 0))))
556 (make-string (nth 1 a
) ?\
)))
557 ((and (memq (car a
) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace
))
558 (memq (length a
) '(2 3))
562 (let* ((c (if (nth 2 a
)
563 (if (and (math-vectorp (nth 2 a
))
564 (math-vector-is-string (nth 2 a
)))
565 (math-vector-to-string (nth 2 a
) nil
)
566 (math-compose-expr (nth 2 a
) 0))
568 (ca (math-comp-ascent c
))
569 (cd (math-comp-descent c
)))
571 (cons (if (eq (car a
) 'calcFunc-ctspace
)
573 (if (eq (car a
) 'calcFunc-cbspace
)
574 (+ (* (1- (nth 1 a
)) (+ ca cd
)) (1- ca
))
575 (/ (1- (* (nth 1 a
) (+ ca cd
))) 2)))
576 (make-list (nth 1 a
) c
))))))
577 ((and (eq (car a
) 'calcFunc-evalto
)
578 (setq calc-any-evaltos t
)
579 (setq spfn
(get calc-language
'math-evalto
))
580 (= math-compose-level
(if math-comp-tagged
2 1))
584 (math-compose-expr (nth 1 a
) 0)
586 (math-compose-expr (nth 2 a
) 0)))
588 (let ((op (and (not (eq calc-language
'unform
))
589 (if (and (eq (car a
) 'calcFunc-if
) (= (length a
) 4))
590 (assoc "?" math-expr-opers
)
591 (math-assq2 (car a
) math-expr-opers
)))))
593 (or (= (length a
) 3) (eq (car a
) 'calcFunc-if
))
596 ((> prec
(or (nth 4 op
) (min (nth 2 op
) (nth 3 op
))))
597 (if (and (memq calc-language
'(tex latex
))
598 (not (math-tex-expr-is-flat a
)))
599 (if (eq (car-safe a
) '/)
600 (list 'horiz
"{" (math-compose-expr a -
1) "}")
601 (list 'horiz
"\\left( "
602 (math-compose-expr a -
1)
604 (if (eq calc-language
'eqn
)
605 (if (or (eq (car-safe a
) '/)
607 (list 'horiz
"{" (math-compose-expr a -
1) "}")
608 (if (math-tex-expr-is-flat a
)
609 (list 'horiz
"( " (math-compose-expr a -
1) " )")
610 (list 'horiz
"{left ( "
611 (math-compose-expr a -
1)
613 (list 'horiz
"(" (math-compose-expr a
0) ")"))))
614 ((and (memq calc-language
'(tex latex
))
615 (memq (car a
) '(/ calcFunc-choose calcFunc-evalto
))
617 (list 'horiz
"{" (math-compose-expr a -
1) "}"))
618 ((eq (car a
) 'calcFunc-if
)
620 (math-compose-expr (nth 1 a
) (nth 2 op
))
622 (math-compose-expr (nth 2 a
) 0)
624 (math-compose-expr (nth 3 a
) (nth 3 op
))))
626 (let* ((math-comp-tagged (and math-comp-tagged
629 (setlev (if (= prec
(min (nth 2 op
) (nth 3 op
)))
631 (setq math-compose-level
632 (1- math-compose-level
))
635 (lhs (math-compose-expr (nth 1 a
) (nth 2 op
)))
636 (rhs (math-compose-expr (nth 2 a
) (nth 3 op
))))
637 (and (equal (car op
) "^")
638 (eq (math-comp-first-char lhs
) ?-
)
639 (setq lhs
(list 'horiz
"(" lhs
")")))
640 (and (memq calc-language
'(tex latex
))
641 (or (equal (car op
) "^") (equal (car op
) "_"))
642 (not (and (stringp rhs
) (= (length rhs
) 1)))
643 (setq rhs
(list 'horiz
"{" rhs
"}")))
644 (or (and (eq (car a
) '*)
645 (or (null calc-language
)
646 (assoc "2x" math-expr-opers
))
647 (let* ((prevt (math-prod-last-term (nth 1 a
)))
648 (nextt (math-prod-first-term (nth 2 a
)))
649 (prevc (or (math-comp-last-char lhs
)
650 (and (memq (car-safe prevt
)
654 (eq calc-language
'big
)
656 (nextc (or (math-comp-first-char rhs
)
657 (and (memq (car-safe nextt
)
662 (eq calc-language
'big
)
665 (or (and (>= nextc ?a
) (<= nextc ?z
))
666 (and (>= nextc ?A
) (<= nextc ?Z
))
667 (and (>= nextc ?
0) (<= nextc ?
9))
668 (memq nextc
'(?. ?_ ?
#
673 (math-comp-first-string
675 (not (and (eq (car-safe prevt
) 'var
)
680 (list 'break math-compose-level
)
686 (list 'break math-compose-level
)
687 (if (or (equal (car op
) "^")
689 (equal (car op
) "**")
690 (and (equal (car op
) "*")
691 (math-comp-last-char lhs
)
692 (math-comp-first-char rhs
))
693 (and (equal (car op
) "/")
694 (math-num-integerp (nth 1 a
))
695 (math-integerp (nth 2 a
))))
697 (if (and (eq calc-language
'big
)
698 (equal (car op
) "=>"))
700 (concat " " (car op
) " ")))
702 ((and op
(= (length a
) 2) (= (nth 3 op
) -
1))
704 ((or (> prec
(or (nth 4 op
) (nth 2 op
)))
705 (and (not (eq (assoc (car op
) math-expr-opers
) op
))
706 (> prec
0))) ; don't write x% + y
707 (if (and (memq calc-language
'(tex latex
))
708 (not (math-tex-expr-is-flat a
)))
709 (list 'horiz
"\\left( "
710 (math-compose-expr a -
1)
712 (if (eq calc-language
'eqn
)
713 (if (= (/ prec
100) 9)
714 (list 'horiz
"{" (math-compose-expr a -
1) "}")
715 (if (math-tex-expr-is-flat a
)
716 (list 'horiz
"{( " (math-compose-expr a -
1) " )}")
717 (list 'horiz
"{left ( "
718 (math-compose-expr a -
1)
720 (list 'horiz
"(" (math-compose-expr a
0) ")"))))
722 (let ((lhs (math-compose-expr (nth 1 a
) (nth 2 op
))))
725 (if (or (> (length (car op
)) 1)
726 (not (math-comp-is-flat lhs
)))
727 (concat " " (car op
))
729 ((and op
(= (length a
) 2) (= (nth 2 op
) -
1))
732 (let ((lr (and (memq calc-language
'(tex latex
))
733 (not (math-tex-expr-is-flat (nth 1 a
))))))
736 (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" (car op
))
737 (substring (car op
) 1)
739 (if (or lr
(> (length (car op
)) 2)) " " "")
740 (math-compose-expr (nth 1 a
) -
1)
741 (if (or lr
(> (length (car op
)) 2)) " " "")
743 (car (nth 1 (memq op math-expr-opers
))))))
744 ((> prec
(or (nth 4 op
) (nth 3 op
)))
745 (if (and (memq calc-language
'(tex latex
))
746 (not (math-tex-expr-is-flat a
)))
747 (list 'horiz
"\\left( "
748 (math-compose-expr a -
1)
750 (if (eq calc-language
'eqn
)
751 (if (= (/ prec
100) 9)
752 (list 'horiz
"{" (math-compose-expr a -
1) "}")
753 (if (math-tex-expr-is-flat a
)
754 (list 'horiz
"{( " (math-compose-expr a -
1) " )}")
755 (list 'horiz
"{left ( "
756 (math-compose-expr a -
1)
758 (list 'horiz
"(" (math-compose-expr a
0) ")"))))
760 (let ((rhs (math-compose-expr (nth 1 a
) (nth 3 op
))))
762 (let ((ops (if (string-match "\\`u\\([^a-zA-Z]\\)\\'"
764 (substring (car op
) 1)
766 (if (or (> (length ops
) 1)
767 (not (math-comp-is-flat rhs
)))
771 ((and (eq calc-language
'big
)
772 (setq op
(get (car a
) 'math-compose-big
))
773 (funcall op a prec
)))
774 ((and (setq op
(assq calc-language
775 '( ( nil . math-compose-normal
)
776 ( flat . math-compose-normal
)
777 ( big . math-compose-normal
)
778 ( c . math-compose-c
)
779 ( pascal . math-compose-pascal
)
780 ( fortran . math-compose-fortran
)
781 ( tex . math-compose-tex
)
782 ( latex . math-compose-latex
)
783 ( eqn . math-compose-eqn
)
784 ( yacas . math-compose-yacas
)
785 ( maxima . math-compose-maxima
)
786 ( giac . math-compose-giac
)
787 ( math . math-compose-math
)
788 ( maple . math-compose-maple
))))
789 (setq op
(get (car a
) (cdr op
)))
790 (funcall op a prec
)))
792 (let* ((func (car a
))
793 (func2 (assq func
'(( mod . calcFunc-makemod
)
794 ( sdev . calcFunc-sdev
)
801 ( neg . calcFunc-neg
)
802 ( | . calcFunc-vconcat
))))
805 (setq func
(cdr func2
)))
806 (if (setq func2
(rassq func math-expr-function-mapping
))
807 (setq func
(car func2
)))
808 (setq func
(math-remove-dashes
810 "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
812 (math-match-substring (symbol-name func
) 1)
813 (symbol-name func
))))
814 (if (memq calc-language calc-lang-allow-percentsigns
)
815 (setq func
(math-to-percentsigns func
)))
816 (if (memq calc-language calc-lang-allow-underscores
)
817 (setq func
(math-to-underscores func
)))
818 (if (setq spfn
(get calc-language
'math-func-formatter
))
819 (funcall spfn func a
)
821 (list 'horiz func calc-function-open
822 (math-compose-vector (cdr a
) ", " 0)
823 calc-function-close
))))))))))
826 (defun math-prod-first-term (x)
827 (while (eq (car-safe x
) '*)
831 (defun math-prod-last-term (x)
832 (while (eq (car-safe x
) '*)
836 (defun math-compose-vector (a sep prec
)
839 (cons (list 'set math-compose-level
)
840 (let ((c (list (math-compose-expr (car a
) prec
))))
841 (while (setq a
(cdr a
))
842 (setq c
(cons (if (eq (car-safe (car a
))
844 (let ((math-compose-level
845 (1- math-compose-level
)))
846 (math-compose-expr (car a
) -
123))
847 (math-compose-expr (car a
) prec
))
848 (cons (list 'break math-compose-level
)
853 (defun math-vector-no-parens (a)
855 (not (eq (car-safe (nth 1 a
)) '*))))
857 (defun math-compose-matrix (a col cols base
)
860 (while (<= (setq col
(1+ col
)) cols
)
861 (setq res
(cons (cons math-comp-just
868 math-comp-vector-prec
)
872 math-comp-comma-spc
" ")))))
877 (defun math-compose-rows (a count first
)
881 (math-compose-rows (cdr a
) -
1 nil
)
883 (let ((mdots (get calc-language
'math-dots
)))
888 (math-compose-rows (cdr a
) -
1 nil
)))
890 (if first
(concat math-comp-left-bracket
" ") " ")
891 (math-compose-expr (car a
) math-comp-vector-prec
)
893 (math-compose-rows (cdr a
) (1- count
) nil
)))
895 (if first
(concat math-comp-left-bracket
" ") " ")
896 (math-compose-expr (car a
) math-comp-vector-prec
)
897 (concat " " math-comp-right-bracket
)))))
899 (defun math-vector-is-string (a)
900 (while (and (setq a
(cdr a
))
901 (or (and (natnump (car a
))
903 (and (eq (car-safe (car a
)) 'cplx
)
904 (natnump (nth 1 (car a
)))
905 (eq (nth 2 (car a
)) 0)
906 (<= (nth 1 (car a
)) 255)))))
909 (defconst math-vector-to-string-chars
'( ( ?
\" .
"\\\"" )
920 (defun math-vector-to-string (a &optional quoted
)
921 (setq a
(concat (mapcar (function (lambda (x) (if (consp x
) (nth 1 x
) x
)))
923 (if (string-match "[\000-\037\177\\\"]" a
)
925 (pat (if quoted
"[\000-\037\177\\\"]" "[\000-\037\177]"))
926 (codes (if quoted math-vector-to-string-chars
'((?\^? .
"^?"))))
927 (fmt (if quoted
"\\^%c" "^%c"))
929 (while (setq p
(string-match pat a p
))
930 (if (setq new
(assq (aref a p
) codes
))
931 (setq a
(concat (substring a
0 p
)
933 (substring a
(1+ p
)))
934 p
(+ p
(length (cdr new
))))
935 (setq a
(concat (substring a
0 p
)
936 (format fmt
(+ (aref a p
) 64))
937 (substring a
(1+ p
)))
944 (defun math-to-underscores (x)
945 (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x
)
947 (concat (math-match-substring x
1) "_" (math-match-substring x
2)))
950 (defun math-to-percentsigns (x)
951 (if (string-match "\\`\\(.*\\)o'o\\(.*\\)\\'" x
)
953 (concat (math-match-substring x
1) "%" (math-match-substring x
2)))
956 (defun math-tex-expr-is-flat (a)
957 (or (Math-integerp a
)
958 (memq (car a
) '(float var
))
959 (and (memq (car a
) '(+ -
* neg
))
961 (while (and (setq a
(cdr a
))
962 (math-tex-expr-is-flat (car a
))))
964 (and (memq (car a
) '(^ calcFunc-subscr
))
965 (math-tex-expr-is-flat (nth 1 a
)))))
967 (put 'calcFunc-log
'math-compose-big
'math-compose-log
)
968 (defun math-compose-log (a prec
)
969 (and (= (length a
) 3)
972 (let ((calc-language 'flat
))
973 (math-compose-expr (nth 2 a
) 1000)))
975 (math-compose-expr (nth 1 a
) 1000)
978 (put 'calcFunc-log10
'math-compose-big
'math-compose-log10
)
979 (defun math-compose-log10 (a prec
)
980 (and (= (length a
) 2)
982 (list 'subscr
"log" "10")
984 (math-compose-expr (nth 1 a
) 1000)
987 (put 'calcFunc-deriv
'math-compose-big
'math-compose-deriv
)
988 (put 'calcFunc-tderiv
'math-compose-big
'math-compose-deriv
)
989 (defun math-compose-deriv (a prec
)
990 (when (= (length a
) 3)
991 (math-compose-expr (list '/
992 (list 'calcFunc-choriz
994 '(calcFunc-string (vec ?d
))
996 (list 'calcFunc-choriz
998 '(calcFunc-string (vec ?d
))
1002 (put 'calcFunc-sqrt
'math-compose-big
'math-compose-sqrt
)
1003 (defun math-compose-sqrt (a prec
)
1004 (when (= (length a
) 2)
1005 (let* ((c (math-compose-expr (nth 1 a
) 0))
1006 (a (math-comp-ascent c
))
1007 (d (math-comp-descent c
))
1009 (w (math-comp-width c
)))
1012 (concat (if (= h
1) " " " ")
1013 (make-string (+ w
2) ?\_
))
1017 (append (list 'vleft
(1- a
))
1018 (make-list (1- h
) " |")
1023 (put 'calcFunc-choose
'math-compose-big
'math-compose-choose
)
1024 (defun math-compose-choose (a prec
)
1025 (let ((a1 (math-compose-expr (nth 1 a
) 0))
1026 (a2 (math-compose-expr (nth 2 a
) 0)))
1030 (math-comp-height a1
)
1034 (put 'calcFunc-integ
'math-compose-big
'math-compose-integ
)
1035 (defun math-compose-integ (a prec
)
1036 (and (memq (length a
) '(3 5))
1037 (eq (car-safe (nth 2 a
)) 'var
)
1038 (let* ((parens (and (>= prec
196) (/= prec
1000)))
1039 (var (math-compose-expr (nth 2 a
) 0))
1040 (over (and (eq (car-safe (nth 2 a
)) 'var
)
1041 (or (and (eq (car-safe (nth 1 a
)) '/)
1042 (math-numberp (nth 1 (nth 1 a
))))
1043 (and (eq (car-safe (nth 1 a
)) '^
)
1044 (math-looks-negp (nth 2 (nth 1 a
)))))))
1045 (expr (math-compose-expr (if over
1047 (math-build-var-name
1050 (nth 1 (nth 2 a
)))))
1052 (calc-language 'flat
)
1053 (low (and (nth 3 a
) (math-compose-expr (nth 3 a
) 0)))
1054 (high (and (nth 4 a
) (math-compose-expr (nth 4 a
) 0))))
1057 (append (list 'vcent
(if high
3 2))
1058 (and high
(list (list 'horiz
" " high
)))
1064 (and low
(list (list 'horiz low
" "))))
1068 (list 'horiz
" d" var
))
1069 (if parens
")" "")))))
1071 (put 'calcFunc-sum
'math-compose-big
'math-compose-sum
)
1072 (defun math-compose-sum (a prec
)
1073 (and (memq (length a
) '(3 5 6))
1074 (let* ((expr (math-compose-expr (nth 1 a
) 185))
1075 (calc-language 'flat
)
1076 (var (math-compose-expr (nth 2 a
) 0))
1077 (low (and (nth 3 a
) (math-compose-expr (nth 3 a
) 0)))
1078 (high (and (nth 4 a
) (math-compose-vector (nthcdr 4 a
) ", " 0))))
1080 (if (memq prec
'(180 201)) "(" "")
1081 (append (list 'vcent
(if high
3 2))
1082 (and high
(list high
))
1089 (list (list 'horiz var
" = " low
))
1091 (if (memq (car-safe (nth 1 a
)) '(calcFunc-sum calcFunc-prod
))
1094 (if (memq prec
'(180 201)) ")" "")))))
1096 (put 'calcFunc-prod
'math-compose-big
'math-compose-prod
)
1097 (defun math-compose-prod (a prec
)
1098 (and (memq (length a
) '(3 5 6))
1099 (let* ((expr (math-compose-expr (nth 1 a
) 198))
1100 (calc-language 'flat
)
1101 (var (math-compose-expr (nth 2 a
) 0))
1102 (low (and (nth 3 a
) (math-compose-expr (nth 3 a
) 0)))
1103 (high (and (nth 4 a
) (math-compose-vector (nthcdr 4 a
) ", " 0))))
1105 (if (memq prec
'(196 201)) "(" "")
1106 (append (list 'vcent
(if high
3 2))
1107 (and high
(list high
))
1113 (list (list 'horiz var
" = " low
))
1115 (if (memq (car-safe (nth 1 a
)) '(calcFunc-sum calcFunc-prod
))
1118 (if (memq prec
'(196 201)) ")" "")))))
1120 ;; The variables math-svo-c, math-svo-wid and math-svo-off are local
1121 ;; to math-stack-value-offset in calc.el, but are used by
1122 ;; math-stack-value-offset-fancy, which is called by math-stack-value-offset..
1124 (defvar math-svo-wid
)
1125 (defvar math-svo-off
)
1127 (defun math-stack-value-offset-fancy ()
1128 (let ((cwid (+ (math-comp-width math-svo-c
))))
1129 (cond ((eq calc-display-just
'right
)
1130 (if calc-display-origin
1131 (setq math-svo-wid
(max calc-display-origin
5))
1132 (if (integerp calc-line-breaking
)
1133 (setq math-svo-wid calc-line-breaking
)))
1134 (setq math-svo-off
(- math-svo-wid cwid
1135 (max (- (length calc-right-label
)
1136 (if (and (integerp calc-line-breaking
)
1137 calc-display-origin
)
1138 (max (- calc-line-breaking
1139 calc-display-origin
)
1144 (if calc-display-origin
1146 (setq math-svo-off
(- calc-display-origin
(/ cwid
2)))
1147 (if (integerp calc-line-breaking
)
1148 (setq math-svo-off
(min math-svo-off
(- calc-line-breaking cwid
1149 (length calc-right-label
)))))
1150 (if (>= math-svo-off
0)
1151 (setq math-svo-wid
(max math-svo-wid
(+ math-svo-off cwid
)))))
1152 (if (integerp calc-line-breaking
)
1153 (setq math-svo-wid calc-line-breaking
))
1154 (setq math-svo-off
(/ (- math-svo-wid cwid
) 2)))))
1155 (and (integerp calc-line-breaking
)
1156 (or (< math-svo-off
0)
1157 (and calc-display-origin
1158 (> calc-line-breaking calc-display-origin
)))
1159 (setq math-svo-wid calc-line-breaking
))))
1162 ;;; Convert a composition to string form, with embedded \n's if necessary.
1164 (defun math-composition-to-string (c &optional width
)
1165 (or width
(setq width
(calc-window-width)))
1166 (if calc-display-raw
1167 (math-comp-to-string-raw c
0)
1168 (if (math-comp-is-flat c
)
1169 (math-comp-to-string-flat c width
)
1170 (math-vert-comp-to-string
1171 (math-comp-simplify c width
)))))
1173 (defvar math-comp-buf-string
(make-vector 10 ""))
1174 (defvar math-comp-buf-margin
(make-vector 10 0))
1175 (defvar math-comp-buf-level
(make-vector 10 0))
1176 (defun math-comp-is-flat (c) ; check if c's height is 1.
1177 (cond ((not (consp c
)) t
)
1178 ((memq (car c
) '(set break
)) t
)
1179 ((eq (car c
) 'horiz
)
1180 (while (and (setq c
(cdr c
))
1181 (math-comp-is-flat (car c
))))
1183 ((memq (car c
) '(vleft vcent vright
))
1184 (and (= (length c
) 3)
1186 (math-comp-is-flat (nth 2 c
))))
1188 (math-comp-is-flat (nth 2 c
)))
1192 ;;; Convert a one-line composition to a string. Break into multiple
1193 ;;; lines if necessary, choosing break points according to the structure
1196 ;; The variables math-comp-full-width, math-comp-highlight, math-comp-word,
1197 ;; math-comp-level, math-comp-margin and math-comp-buf are local to
1198 ;; math-comp-to-string-flat, but are used by math-comp-to-string-flat-term,
1199 ;; which is called by math-comp-to-string-flat.
1200 ;; math-comp-highlight and math-comp-buf are also local to
1201 ;; math-comp-simplify-term and math-comp-simplify respectively, but are used
1202 ;; by math-comp-add-string.
1203 (defvar math-comp-full-width
)
1204 (defvar math-comp-highlight
)
1205 (defvar math-comp-word
)
1206 (defvar math-comp-level
)
1207 (defvar math-comp-margin
)
1208 (defvar math-comp-buf
)
1209 ;; The variable math-comp-pos is local to math-comp-to-string-flat, but
1210 ;; is used by math-comp-to-string-flat-term and math-comp-sel-first-term,
1211 ;; which are called by math-comp-to-string-flat.
1212 (defvar math-comp-pos
)
1214 (defun math-comp-to-string-flat (c math-comp-full-width
)
1215 (if math-comp-sel-hpos
1216 (let ((math-comp-pos 0))
1217 (math-comp-sel-flat-term c
))
1218 (let ((math-comp-buf "")
1221 (math-comp-margin 0)
1222 (math-comp-highlight (and math-comp-selected calc-show-selections
))
1223 (math-comp-level -
1))
1224 (math-comp-to-string-flat-term '(set -
1 0))
1225 (math-comp-to-string-flat-term c
)
1226 (math-comp-to-string-flat-term '(break -
1))
1227 (let ((str (aref math-comp-buf-string
0))
1229 (and (> (length str
) 0) (= (aref str
0) ?
)
1230 (> (length math-comp-buf
) 0)
1231 (let ((k (length math-comp-buf
)))
1232 (while (not (= (aref math-comp-buf
(setq k
(1- k
))) ?
\n)))
1233 (aset math-comp-buf k ?
)
1234 (if (and (< (1+ k
) (length math-comp-buf
))
1235 (= (aref math-comp-buf
(1+ k
)) ?
))
1237 (aset math-comp-buf
(1+ k
) ?
\n)
1239 (setq prefix
"\n"))))
1240 (concat math-comp-buf prefix str
)))))
1242 (defun math-comp-to-string-flat-term (c)
1243 (cond ((not (consp c
))
1244 (if math-comp-highlight
1245 (setq c
(math-comp-highlight-string c
)))
1246 (setq math-comp-word
(if (= (length math-comp-word
) 0) c
1247 (concat math-comp-word c
))
1248 math-comp-pos
(+ math-comp-pos
(length c
))))
1250 ((eq (car c
) 'horiz
)
1251 (while (setq c
(cdr c
))
1252 (math-comp-to-string-flat-term (car c
))))
1257 (setq math-comp-level
(1+ math-comp-level
))
1258 (if (>= math-comp-level
(length math-comp-buf-string
))
1259 (setq math-comp-buf-string
(vconcat math-comp-buf-string
1260 math-comp-buf-string
)
1261 math-comp-buf-margin
(vconcat math-comp-buf-margin
1262 math-comp-buf-margin
)
1263 math-comp-buf-level
(vconcat math-comp-buf-level
1264 math-comp-buf-level
)))
1265 (aset math-comp-buf-string math-comp-level
"")
1266 (aset math-comp-buf-margin math-comp-level
(+ math-comp-pos
1268 (aset math-comp-buf-level math-comp-level
(nth 1 c
)))))
1270 ((eq (car c
) 'break
)
1271 (if (not calc-line-breaking
)
1272 (setq math-comp-buf
(concat math-comp-buf math-comp-word
)
1275 (if (and (> math-comp-pos math-comp-full-width
)
1278 (setq str
(aref math-comp-buf-string i
))
1279 (and (= (length str
) 0) (< i math-comp-level
)))
1281 (or (> (length str
) 0) (> (length math-comp-buf
) 0))))
1282 (let ((prefix "") mrg wid
)
1283 (setq mrg
(aref math-comp-buf-margin i
))
1284 (if (> mrg
12) ; indenting too far, go back to far left
1285 (let ((j i
) (new (if calc-line-numbering
5 1)))
1286 '(while (<= j math-comp-level
)
1287 (aset math-comp-buf-margin j
1288 (+ (aref math-comp-buf-margin j
) (- new mrg
)))
1291 (setq wid
(+ (length str
) math-comp-margin
))
1292 (and (> (length str
) 0) (= (aref str
0) ?
)
1293 (> (length math-comp-buf
) 0)
1294 (let ((k (length math-comp-buf
)))
1295 (while (not (= (aref math-comp-buf
(setq k
(1- k
))) ?
\n)))
1296 (aset math-comp-buf k ?
)
1297 (if (and (< (1+ k
) (length math-comp-buf
))
1298 (= (aref math-comp-buf
(1+ k
)) ?
))
1300 (aset math-comp-buf
(1+ k
) ?
\n)
1302 (setq prefix
"\n"))))
1303 (setq math-comp-buf
(concat math-comp-buf prefix str
"\n"
1304 (make-string mrg ?
))
1305 math-comp-pos
(+ math-comp-pos
(- mrg wid
))
1306 math-comp-margin mrg
)
1307 (aset math-comp-buf-string i
"")
1308 (while (<= (setq i
(1+ i
)) math-comp-level
)
1309 (if (> (aref math-comp-buf-margin i
) wid
)
1310 (aset math-comp-buf-margin i
1311 (+ (aref math-comp-buf-margin i
)
1313 (if (and (= (nth 1 c
) (aref math-comp-buf-level math-comp-level
))
1314 (< math-comp-pos
(+ (aref math-comp-buf-margin math-comp-level
) 2)))
1315 () ; avoid stupid breaks, e.g., "1 +\n really_long_expr"
1316 (let ((str (aref math-comp-buf-string math-comp-level
)))
1317 (setq str
(if (= (length str
) 0)
1319 (concat str math-comp-word
))
1321 (while (< (nth 1 c
) (aref math-comp-buf-level math-comp-level
))
1322 (setq math-comp-level
(1- math-comp-level
))
1323 (or (= (length (aref math-comp-buf-string math-comp-level
)) 0)
1324 (setq str
(concat (aref math-comp-buf-string math-comp-level
)
1326 (aset math-comp-buf-string math-comp-level str
)))))
1329 (cond ((eq (nth 1 c
) math-comp-selected
)
1330 (let ((math-comp-highlight (not calc-show-selections
)))
1331 (math-comp-to-string-flat-term (nth 2 c
))))
1333 (let ((math-comp-highlight nil
))
1334 (math-comp-to-string-flat-term (nth 2 c
))))
1335 (t (math-comp-to-string-flat-term (nth 2 c
)))))
1337 (t (math-comp-to-string-flat-term (nth 2 c
)))))
1339 (defun math-comp-highlight-string (s)
1340 (setq s
(copy-sequence s
))
1341 (let ((i (length s
)))
1342 (while (>= (setq i
(1- i
)) 0)
1343 (or (memq (aref s i
) '(32 ?
\n))
1344 (aset s i
(if calc-show-selections ?\. ?\
#)))))
1348 ;; The variable math-comp-sel-tag is local to calc-find-selected-part
1349 ;; in calc-sel.el, but is used by math-comp-sel-flat-term and
1350 ;; math-comp-add-string-sel, which are called (indirectly) by
1351 ;; calc-find-selected-part.
1352 (defvar math-comp-sel-tag
)
1354 (defun math-comp-sel-flat-term (c)
1355 (cond ((not (consp c
))
1356 (setq math-comp-pos
(+ math-comp-pos
(length c
))))
1357 ((memq (car c
) '(set break
)))
1358 ((eq (car c
) 'horiz
)
1359 (while (and (setq c
(cdr c
)) (< math-comp-sel-cpos
1000000))
1360 (math-comp-sel-flat-term (car c
))))
1362 (if (<= math-comp-pos math-comp-sel-cpos
)
1364 (math-comp-sel-flat-term (nth 2 c
))
1365 (if (> math-comp-pos math-comp-sel-cpos
)
1366 (setq math-comp-sel-tag c
1367 math-comp-sel-cpos
1000000)))
1368 (math-comp-sel-flat-term (nth 2 c
))))
1369 (t (math-comp-sel-flat-term (nth 2 c
)))))
1372 ;;; Simplify a composition to a canonical form consisting of
1373 ;;; (vleft n "string" "string" "string" ...)
1374 ;;; where 0 <= n < number-of-strings.
1376 ;; The variables math-comp-base, math-comp-hgt, math-comp-tag,
1377 ;; math-comp-hpos and math-comp-vpos are local to math-comp-simplify,
1378 ;; but are used by math-comp-add-string (math-comp-base, math-comp-hgt),
1379 ;; math-comp-add-string-sel (math-comp-tag) and math-comp-simplify-term
1380 ;; (math-comp-tag, math-comp-vpos, math-comp-hpos), which are called by
1381 ;; math-comp-simplify.
1382 (defvar math-comp-base
)
1383 (defvar math-comp-hgt
)
1384 (defvar math-comp-tag
)
1385 (defvar math-comp-hpos
)
1386 (defvar math-comp-vpos
)
1388 (defun math-comp-simplify (c full-width
)
1389 (let ((math-comp-buf (list ""))
1394 (math-comp-highlight (and math-comp-selected calc-show-selections
))
1395 (math-comp-tag nil
))
1396 (math-comp-simplify-term c
)
1397 (cons 'vleft
(cons math-comp-base math-comp-buf
))))
1399 (defun math-comp-add-string (s h v
)
1400 (and (> (length s
) 0)
1401 (let ((vv (+ v math-comp-base
)))
1402 (if math-comp-sel-hpos
1403 (math-comp-add-string-sel h vv
(length s
) 1)
1405 (setq math-comp-buf
(nconc (make-list (- vv
) "") math-comp-buf
)
1406 math-comp-base
(- v
)
1407 math-comp-hgt
(- math-comp-hgt vv
)
1409 (if (>= vv math-comp-hgt
)
1410 (setq math-comp-buf
(nconc math-comp-buf
1411 (make-list (1+ (- vv math-comp-hgt
)) ""))
1412 math-comp-hgt
(1+ vv
))))
1413 (let ((str (nthcdr vv math-comp-buf
)))
1414 (setcar str
(concat (car str
)
1415 (make-string (- h
(length (car str
))) 32)
1416 (if math-comp-highlight
1417 (math-comp-highlight-string s
)
1420 (defun math-comp-add-string-sel (x y w h
)
1421 (if (and (<= y math-comp-sel-vpos
)
1422 (> (+ y h
) math-comp-sel-vpos
)
1423 (<= x math-comp-sel-hpos
)
1424 (> (+ x w
) math-comp-sel-hpos
))
1425 (setq math-comp-sel-tag math-comp-tag
1426 math-comp-sel-vpos
10000)))
1428 (defun math-comp-simplify-term (c)
1430 (math-comp-add-string c math-comp-hpos math-comp-vpos
)
1431 (setq math-comp-hpos
(+ math-comp-hpos
(length c
))))
1432 ((memq (car c
) '(set break
))
1434 ((eq (car c
) 'horiz
)
1435 (while (setq c
(cdr c
))
1436 (math-comp-simplify-term (car c
))))
1437 ((memq (car c
) '(vleft vcent vright
))
1438 (let* ((math-comp-vpos (+ (- math-comp-vpos
(nth 1 c
))
1439 (1- (math-comp-ascent (nth 2 c
)))))
1440 (widths (mapcar 'math-comp-width
(cdr (cdr c
))))
1441 (maxwid (apply 'max widths
))
1442 (bias (cond ((eq (car c
) 'vleft
) 0)
1443 ((eq (car c
) 'vcent
) 1)
1446 (while (setq c
(cdr c
))
1447 (if (eq (car-safe (car c
)) 'rule
)
1448 (math-comp-add-string (make-string maxwid
(nth 1 (car c
)))
1449 math-comp-hpos math-comp-vpos
)
1450 (let ((math-comp-hpos (+ math-comp-hpos
(/ (* bias
(- maxwid
1453 (math-comp-simplify-term (car c
))))
1455 (setq math-comp-vpos
(+ math-comp-vpos
1456 (+ (math-comp-descent (car c
))
1457 (math-comp-ascent (nth 1 c
))))
1458 widths
(cdr widths
))))
1459 (setq math-comp-hpos
(+ math-comp-hpos maxwid
))))
1460 ((eq (car c
) 'supscr
)
1461 (let* ((asc (or 1 (math-comp-ascent (nth 1 c
))))
1462 (desc (math-comp-descent (nth 2 c
)))
1465 (math-comp-simplify-term (nth 1 c
))))
1466 (math-comp-vpos (- math-comp-vpos
(+ asc desc
))))
1467 (math-comp-simplify-term (nth 2 c
))
1468 (if math-comp-sel-hpos
1469 (math-comp-add-string-sel oldh
1472 (math-comp-ascent (nth 2 c
)))
1473 (- math-comp-hpos oldh
)
1474 (math-comp-height c
)))))
1475 ((eq (car c
) 'subscr
)
1476 (let* ((asc (math-comp-ascent (nth 2 c
)))
1477 (desc (math-comp-descent (nth 1 c
)))
1478 (oldv math-comp-vpos
)
1481 (math-comp-simplify-term (nth 1 c
))))
1482 (math-comp-vpos (+ math-comp-vpos
(+ asc desc
))))
1483 (math-comp-simplify-term (nth 2 c
))
1484 (if math-comp-sel-hpos
1485 (math-comp-add-string-sel oldh oldv
1486 (- math-comp-hpos oldh
)
1487 (math-comp-height c
)))))
1489 (cond ((eq (nth 1 c
) math-comp-selected
)
1490 (let ((math-comp-highlight (not calc-show-selections
)))
1491 (math-comp-simplify-term (nth 2 c
))))
1493 (let ((math-comp-highlight nil
))
1494 (math-comp-simplify-term (nth 2 c
))))
1495 (t (let ((math-comp-tag c
))
1496 (math-comp-simplify-term (nth 2 c
))))))))
1499 ;;; Measuring a composition.
1501 (defun math-comp-first-char (c)
1503 (and (> (length c
) 0)
1505 ((memq (car c
) '(horiz subscr supscr
))
1506 (while (and (setq c
(cdr c
))
1507 (math-comp-is-null (car c
))))
1508 (and c
(math-comp-first-char (car c
))))
1510 (math-comp-first-char (nth 2 c
)))))
1512 (defun math-comp-first-string (c)
1514 (and (> (length c
) 0)
1516 ((eq (car c
) 'horiz
)
1517 (while (and (setq c
(cdr c
))
1518 (math-comp-is-null (car c
))))
1519 (and c
(math-comp-first-string (car c
))))
1521 (math-comp-first-string (nth 2 c
)))))
1523 (defun math-comp-last-char (c)
1525 (and (> (length c
) 0)
1526 (elt c
(1- (length c
)))))
1527 ((eq (car c
) 'horiz
)
1528 (let ((c (reverse (cdr c
))))
1529 (while (and c
(math-comp-is-null (car c
)))
1531 (and c
(math-comp-last-char (car c
)))))
1533 (math-comp-last-char (nth 2 c
)))))
1535 (defun math-comp-is-null (c)
1536 (cond ((stringp c
) (= (length c
) 0))
1537 ((memq (car c
) '(horiz subscr supscr
))
1538 (while (and (setq c
(cdr c
))
1539 (math-comp-is-null (car c
))))
1542 (math-comp-is-null (nth 2 c
)))
1543 ((memq (car c
) '(set break
)) t
)))
1545 (defun math-comp-width (c)
1546 (cond ((not (consp c
)) (length c
))
1547 ((memq (car c
) '(horiz subscr supscr
))
1549 (while (setq c
(cdr c
))
1550 (setq accum
(+ accum
(math-comp-width (car c
)))))
1552 ((memq (car c
) '(vcent vleft vright
))
1555 (while (setq c
(cdr c
))
1556 (setq accum
(max accum
(math-comp-width (car c
)))))
1559 (math-comp-width (nth 2 c
)))
1562 (defun math-comp-height (c)
1565 (+ (math-comp-ascent c
) (math-comp-descent c
))))
1567 (defun math-comp-ascent (c)
1568 (cond ((not (consp c
)) 1)
1569 ((eq (car c
) 'horiz
)
1571 (while (setq c
(cdr c
))
1572 (setq accum
(max accum
(math-comp-ascent (car c
)))))
1574 ((memq (car c
) '(vcent vleft vright
))
1575 (if (> (nth 1 c
) 0) (1+ (nth 1 c
)) 1))
1576 ((eq (car c
) 'supscr
)
1577 (max (math-comp-ascent (nth 1 c
)) (1+ (math-comp-height (nth 2 c
)))))
1578 ((eq (car c
) 'subscr
)
1579 (math-comp-ascent (nth 1 c
)))
1581 (math-comp-ascent (nth 2 c
)))
1584 (defun math-comp-descent (c)
1585 (cond ((not (consp c
)) 0)
1586 ((eq (car c
) 'horiz
)
1588 (while (setq c
(cdr c
))
1589 (setq accum
(max accum
(math-comp-descent (car c
)))))
1591 ((memq (car c
) '(vcent vleft vright
))
1592 (let ((accum (- (nth 1 c
))))
1594 (while (setq c
(cdr c
))
1595 (setq accum
(+ accum
(math-comp-height (car c
)))))
1596 (max (1- accum
) 0)))
1597 ((eq (car c
) 'supscr
)
1598 (math-comp-descent (nth 1 c
)))
1599 ((eq (car c
) 'subscr
)
1600 (+ (math-comp-descent (nth 1 c
)) (math-comp-height (nth 2 c
))))
1602 (math-comp-descent (nth 2 c
)))
1605 (defun calcFunc-cwidth (a &optional prec
)
1606 (if (and prec
(not (integerp prec
))) (math-reject-arg prec
'fixnump
))
1607 (math-comp-width (math-compose-expr a
(or prec
0))))
1609 (defun calcFunc-cheight (a &optional prec
)
1610 (if (and prec
(not (integerp prec
))) (math-reject-arg prec
'fixnump
))
1611 (if (and (memq (car a
) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace
))
1612 (memq (length a
) '(2 3))
1615 (math-comp-height (math-compose-expr a
(or prec
0)))))
1617 (defun calcFunc-cascent (a &optional prec
)
1618 (if (and prec
(not (integerp prec
))) (math-reject-arg prec
'fixnump
))
1619 (if (and (memq (car a
) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace
))
1620 (memq (length a
) '(2 3))
1623 (math-comp-ascent (math-compose-expr a
(or prec
0)))))
1625 (defun calcFunc-cdescent (a &optional prec
)
1626 (if (and prec
(not (integerp prec
))) (math-reject-arg prec
'fixnump
))
1627 (math-comp-descent (math-compose-expr a
(or prec
0))))
1630 ;;; Convert a simplified composition into string form.
1632 (defun math-vert-comp-to-string (c)
1635 (math-vert-comp-to-string-step (cdr (cdr c
)))))
1637 (defun math-vert-comp-to-string-step (c)
1639 (concat (car c
) "\n" (math-vert-comp-to-string-step (cdr c
)))
1643 ;;; Convert a composition to a string in "raw" form (for debugging).
1645 (defun math-comp-to-string-raw (c indent
)
1646 (cond ((or (not (consp c
)) (eq (car c
) 'set
))
1647 (prin1-to-string c
))
1649 (concat "(" (symbol-name (car c
)) ")"))
1651 (let ((next-indent (+ indent
2 (length (symbol-name (car c
))))))
1653 (symbol-name (car c
))
1655 (math-comp-to-string-raw (nth 1 c
) next-indent
)
1656 (math-comp-to-string-raw-step (cdr (cdr c
))
1660 (defun math-comp-to-string-raw-step (cl indent
)
1663 (make-string indent
32)
1664 (math-comp-to-string-raw (car cl
) indent
)
1665 (math-comp-to-string-raw-step (cdr cl
) indent
))
1670 ;;; arch-tag: 7c45d10a-a286-4dab-af49-7ae8989fbf78
1671 ;;; calccomp.el ends here