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1 | ;; Calculator for GNU Emacs, part II [calc-comp.el] |
2 | ;; Copyright (C) 1990, 1991, 1992, 1993 Free Software Foundation, Inc. | |
3 | ;; Written by Dave Gillespie, daveg@synaptics.com. | |
4 | ||
5 | ;; This file is part of GNU Emacs. | |
6 | ||
7 | ;; GNU Emacs is distributed in the hope that it will be useful, | |
8 | ;; but WITHOUT ANY WARRANTY. No author or distributor | |
9 | ;; accepts responsibility to anyone for the consequences of using it | |
10 | ;; or for whether it serves any particular purpose or works at all, | |
11 | ;; unless he says so in writing. Refer to the GNU Emacs General Public | |
12 | ;; License for full details. | |
13 | ||
14 | ;; Everyone is granted permission to copy, modify and redistribute | |
15 | ;; GNU Emacs, but only under the conditions described in the | |
16 | ;; GNU Emacs General Public License. A copy of this license is | |
17 | ;; supposed to have been given to you along with GNU Emacs so you | |
18 | ;; can know your rights and responsibilities. It should be in a | |
19 | ;; file named COPYING. Among other things, the copyright notice | |
20 | ;; and this notice must be preserved on all copies. | |
21 | ||
22 | ||
23 | ||
24 | ;; This file is autoloaded from calc-ext.el. | |
25 | (require 'calc-ext) | |
26 | ||
27 | (require 'calc-macs) | |
28 | ||
29 | (defun calc-Need-calc-comp () nil) | |
30 | ||
31 | ||
32 | ;;; A "composition" has one of the following forms: | |
33 | ;;; | |
34 | ;;; "string" A literal string | |
35 | ;;; | |
36 | ;;; (horiz C1 C2 ...) Horizontally abutted sub-compositions | |
37 | ;;; | |
38 | ;;; (set LEVEL OFF) Set left margin + offset for line-break level | |
39 | ;;; (break LEVEL) A potential line-break point | |
40 | ;;; | |
41 | ;;; (vleft N C1 C2 ...) Vertically stacked, left-justified sub-comps | |
42 | ;;; (vcent N C1 C2 ...) Vertically stacked, centered sub-comps | |
43 | ;;; (vright N C1 C2 ...) Vertically stacked, right-justified sub-comps | |
44 | ;;; N specifies baseline of the stack, 0=top line. | |
45 | ;;; | |
46 | ;;; (supscr C1 C2) Composition C1 with superscript C2 | |
47 | ;;; (subscr C1 C2) Composition C1 with subscript C2 | |
48 | ;;; (rule X) Horizontal line of X, full width of enclosing comp | |
49 | ;;; | |
50 | ;;; (tag X C) Composition C corresponds to sub-expression X | |
51 | ||
52 | (defun math-compose-expr (a prec) | |
53 | (let ((math-compose-level (1+ math-compose-level))) | |
54 | (cond | |
55 | ((or (and (eq a math-comp-selected) a) | |
56 | (and math-comp-tagged | |
57 | (not (eq math-comp-tagged a)))) | |
58 | (let ((math-comp-selected nil)) | |
59 | (and math-comp-tagged (setq math-comp-tagged a)) | |
60 | (list 'tag a (math-compose-expr a prec)))) | |
61 | ((and (not (consp a)) (not (integerp a))) | |
62 | (concat "'" (prin1-to-string a))) | |
63 | ((math-scalarp a) | |
64 | (if (or (eq (car-safe a) 'frac) | |
65 | (and (nth 1 calc-frac-format) (Math-integerp a))) | |
66 | (if (memq calc-language '(tex eqn math maple c fortran pascal)) | |
67 | (let ((aa (math-adjust-fraction a)) | |
68 | (calc-frac-format nil)) | |
69 | (math-compose-expr (list '/ | |
70 | (if (memq calc-language '(c fortran)) | |
71 | (math-float (nth 1 aa)) | |
72 | (nth 1 aa)) | |
73 | (nth 2 aa)) prec)) | |
74 | (if (and (eq calc-language 'big) | |
75 | (= (length (car calc-frac-format)) 1)) | |
76 | (let* ((aa (math-adjust-fraction a)) | |
77 | (calc-frac-format nil) | |
78 | (math-radix-explicit-format nil) | |
79 | (c (list 'horiz | |
80 | (if (math-negp (nth 1 aa)) | |
81 | "- " "") | |
82 | (list 'vcent 1 | |
83 | (math-format-number | |
84 | (math-abs (nth 1 aa))) | |
85 | '(rule ?-) | |
86 | (math-format-number (nth 2 aa)))))) | |
87 | (if (= calc-number-radix 10) | |
88 | c | |
89 | (list 'horiz "(" c | |
90 | (list 'subscr ")" | |
91 | (int-to-string calc-number-radix))))) | |
92 | (math-format-number a))) | |
93 | (if (not (eq calc-language 'big)) | |
94 | (math-format-number a prec) | |
95 | (if (memq (car-safe a) '(cplx polar)) | |
96 | (if (math-zerop (nth 2 a)) | |
97 | (math-compose-expr (nth 1 a) prec) | |
98 | (list 'horiz "(" | |
99 | (math-compose-expr (nth 1 a) 0) | |
100 | (if (eq (car a) 'cplx) ", " "; ") | |
101 | (math-compose-expr (nth 2 a) 0) ")")) | |
102 | (if (or (= calc-number-radix 10) | |
103 | (not (Math-realp a)) | |
104 | (and calc-group-digits | |
105 | (not (assoc calc-group-char '((",") (" ")))))) | |
106 | (math-format-number a prec) | |
107 | (let ((s (math-format-number a prec)) | |
108 | (c nil)) | |
109 | (while (string-match (if (> calc-number-radix 14) | |
110 | "\\([0-9]+\\)#\\([0-9a-zA-Z., ]+\\)" | |
111 | "\\([0-9]+\\)#\\([0-9a-dA-D., ]+\\)") | |
112 | s) | |
113 | (setq c (nconc c (list (substring s 0 (match-beginning 0)) | |
114 | (list 'subscr | |
115 | (math-match-substring s 2) | |
116 | (math-match-substring s 1)))) | |
117 | s (substring s (match-end 0)))) | |
118 | (if (string-match | |
119 | "\\*\\([0-9.]+\\)\\^\\(-?[0-9]+\\)\\()?\\)\\'" s) | |
120 | (setq s (list 'horiz | |
121 | (substring s 0 (match-beginning 0)) " " | |
122 | (list 'supscr | |
123 | (math-match-substring s 1) | |
124 | (math-match-substring s 2)) | |
125 | (math-match-substring s 3)))) | |
126 | (if c (cons 'horiz (nconc c (list s))) s))))))) | |
127 | ((and (get (car a) 'math-compose-forms) | |
128 | (not (eq calc-language 'unform)) | |
129 | (let ((comps (get (car a) 'math-compose-forms)) | |
130 | temp temp2) | |
131 | (or (and (setq temp (assq calc-language comps)) | |
132 | (or (and (setq temp2 (assq (1- (length a)) (cdr temp))) | |
133 | (setq temp (apply (cdr temp2) (cdr a))) | |
134 | (math-compose-expr temp prec)) | |
135 | (and (setq temp2 (assq nil (cdr temp))) | |
136 | (funcall (cdr temp2) a)))) | |
137 | (and (setq temp (assq nil comps)) | |
138 | (or (and (setq temp2 (assq (1- (length a)) (cdr temp))) | |
139 | (setq temp (apply (cdr temp2) (cdr a))) | |
140 | (math-compose-expr temp prec)) | |
141 | (and (setq temp2 (assq nil (cdr temp))) | |
142 | (funcall (cdr temp2) a)))))))) | |
143 | ((eq (car a) 'vec) | |
144 | (let* ((left-bracket (if calc-vector-brackets | |
145 | (substring calc-vector-brackets 0 1) "")) | |
146 | (right-bracket (if calc-vector-brackets | |
147 | (substring calc-vector-brackets 1 2) "")) | |
148 | (inner-brackets (memq 'R calc-matrix-brackets)) | |
149 | (outer-brackets (memq 'O calc-matrix-brackets)) | |
150 | (row-commas (memq 'C calc-matrix-brackets)) | |
151 | (comma-spc (or calc-vector-commas " ")) | |
152 | (comma (or calc-vector-commas "")) | |
153 | (vector-prec (if (or (and calc-vector-commas | |
154 | (math-vector-no-parens a)) | |
155 | (memq 'P calc-matrix-brackets)) 0 1000)) | |
156 | (just (cond ((eq calc-matrix-just 'right) 'vright) | |
157 | ((eq calc-matrix-just 'center) 'vcent) | |
158 | (t 'vleft))) | |
159 | (break calc-break-vectors)) | |
160 | (if (and (memq calc-language '(nil big)) | |
161 | (not calc-break-vectors) | |
162 | (math-matrixp a) (not (math-matrixp (nth 1 a))) | |
163 | (or calc-full-vectors | |
164 | (and (< (length a) 7) (< (length (nth 1 a)) 7)) | |
165 | (progn (setq break t) nil))) | |
166 | (if (progn | |
167 | (setq vector-prec (if (or (and calc-vector-commas | |
168 | (math-vector-no-parens | |
169 | (nth 1 a))) | |
170 | (memq 'P calc-matrix-brackets)) | |
171 | 0 1000)) | |
172 | (= (length a) 2)) | |
173 | (list 'horiz | |
174 | (concat left-bracket left-bracket " ") | |
175 | (math-compose-vector (cdr (nth 1 a)) (concat comma " ") | |
176 | vector-prec) | |
177 | (concat " " right-bracket right-bracket)) | |
178 | (let* ((rows (1- (length a))) | |
179 | (cols (1- (length (nth 1 a)))) | |
180 | (base (/ (1- rows) 2)) | |
181 | (calc-language 'flat)) | |
182 | (append '(horiz) | |
183 | (list (append '(vleft) | |
184 | (list base) | |
185 | (list (concat (and outer-brackets | |
186 | (concat left-bracket | |
187 | " ")) | |
188 | (and inner-brackets | |
189 | (concat left-bracket | |
190 | " ")))) | |
191 | (make-list (1- rows) | |
192 | (concat (and outer-brackets | |
193 | " ") | |
194 | (and inner-brackets | |
195 | (concat | |
196 | left-bracket | |
197 | " ")))))) | |
198 | (math-compose-matrix (cdr a) 1 cols base) | |
199 | (list (append '(vleft) | |
200 | (list base) | |
201 | (make-list (1- rows) | |
202 | (if inner-brackets | |
203 | (concat " " | |
204 | right-bracket | |
205 | (and row-commas | |
206 | comma)) | |
207 | (if (and outer-brackets | |
208 | row-commas) | |
209 | ";" ""))) | |
210 | (list (concat | |
211 | (and inner-brackets | |
212 | (concat " " | |
213 | right-bracket)) | |
214 | (and outer-brackets | |
215 | (concat | |
216 | " " | |
217 | right-bracket))))))))) | |
218 | (if (and calc-display-strings | |
219 | (cdr a) | |
220 | (math-vector-is-string a)) | |
221 | (math-vector-to-string a t) | |
222 | (if (and break (cdr a) | |
223 | (not (eq calc-language 'flat))) | |
224 | (let* ((full (or calc-full-vectors (< (length a) 7))) | |
225 | (rows (if full (1- (length a)) 5)) | |
226 | (base (/ (1- rows) 2)) | |
227 | (just 'vleft) | |
228 | (calc-break-vectors nil)) | |
229 | (list 'horiz | |
230 | (cons 'vleft (cons base | |
231 | (math-compose-rows | |
232 | (cdr a) | |
233 | (if full rows 3) t))))) | |
234 | (if (or calc-full-vectors (< (length a) 7)) | |
235 | (if (and (eq calc-language 'tex) | |
236 | (math-matrixp a)) | |
237 | (append '(horiz "\\matrix{ ") | |
238 | (math-compose-tex-matrix (cdr a)) | |
239 | '(" }")) | |
240 | (if (and (eq calc-language 'eqn) | |
241 | (math-matrixp a)) | |
242 | (append '(horiz "matrix { ") | |
243 | (math-compose-eqn-matrix | |
244 | (cdr (math-transpose a))) | |
245 | '("}")) | |
246 | (if (and (eq calc-language 'maple) | |
247 | (math-matrixp a)) | |
248 | (list 'horiz | |
249 | "matrix(" | |
250 | left-bracket | |
251 | (math-compose-vector (cdr a) (concat comma " ") | |
252 | vector-prec) | |
253 | right-bracket | |
254 | ")") | |
255 | (list 'horiz | |
256 | left-bracket | |
257 | (math-compose-vector (cdr a) (concat comma " ") | |
258 | vector-prec) | |
259 | right-bracket)))) | |
260 | (list 'horiz | |
261 | left-bracket | |
262 | (math-compose-vector (list (nth 1 a) (nth 2 a) (nth 3 a)) | |
263 | (concat comma " ") vector-prec) | |
264 | comma (if (eq calc-language 'tex) " \\ldots" " ...") | |
265 | comma " " | |
266 | (list 'break math-compose-level) | |
267 | (math-compose-expr (nth (1- (length a)) a) | |
268 | (if (equal comma "") 1000 0)) | |
269 | right-bracket))))))) | |
270 | ((eq (car a) 'incomplete) | |
271 | (if (cdr (cdr a)) | |
272 | (cond ((eq (nth 1 a) 'vec) | |
273 | (list 'horiz "[" | |
274 | (math-compose-vector (cdr (cdr a)) ", " 0) | |
275 | " ...")) | |
276 | ((eq (nth 1 a) 'cplx) | |
277 | (list 'horiz "(" | |
278 | (math-compose-vector (cdr (cdr a)) ", " 0) | |
279 | ", ...")) | |
280 | ((eq (nth 1 a) 'polar) | |
281 | (list 'horiz "(" | |
282 | (math-compose-vector (cdr (cdr a)) "; " 0) | |
283 | "; ...")) | |
284 | ((eq (nth 1 a) 'intv) | |
285 | (list 'horiz | |
286 | (if (memq (nth 2 a) '(0 1)) "(" "[") | |
287 | (math-compose-vector (cdr (cdr (cdr a))) " .. " 0) | |
288 | " .. ...")) | |
289 | (t (format "%s" a))) | |
290 | (cond ((eq (nth 1 a) 'vec) "[ ...") | |
291 | ((eq (nth 1 a) 'intv) | |
292 | (if (memq (nth 2 a) '(0 1)) "( ..." "[ ...")) | |
293 | (t "( ...")))) | |
294 | ((eq (car a) 'var) | |
295 | (let ((v (rassq (nth 2 a) math-expr-variable-mapping))) | |
296 | (if v | |
297 | (symbol-name (car v)) | |
298 | (if (and (eq calc-language 'tex) | |
299 | calc-language-option | |
300 | (not (= calc-language-option 0)) | |
301 | (string-match "\\`[a-zA-Z][a-zA-Z0-9]+\\'" | |
302 | (symbol-name (nth 1 a)))) | |
303 | (format "\\hbox{%s}" (symbol-name (nth 1 a))) | |
304 | (if (and math-compose-hash-args | |
305 | (let ((p calc-arg-values)) | |
306 | (setq v 1) | |
307 | (while (and p (not (equal (car p) a))) | |
308 | (setq p (and (eq math-compose-hash-args t) (cdr p)) | |
309 | v (1+ v))) | |
310 | p)) | |
311 | (if (eq math-compose-hash-args 1) | |
312 | "#" | |
313 | (format "#%d" v)) | |
314 | (if (memq calc-language '(c fortran pascal maple)) | |
315 | (math-to-underscores (symbol-name (nth 1 a))) | |
316 | (if (and (eq calc-language 'eqn) | |
317 | (string-match ".'\\'" (symbol-name (nth 2 a)))) | |
318 | (math-compose-expr | |
319 | (list 'calcFunc-Prime | |
320 | (list | |
321 | 'var | |
322 | (intern (substring (symbol-name (nth 1 a)) 0 -1)) | |
323 | (intern (substring (symbol-name (nth 2 a)) 0 -1)))) | |
324 | prec) | |
325 | (symbol-name (nth 1 a))))))))) | |
326 | ((eq (car a) 'intv) | |
327 | (list 'horiz | |
328 | (if (eq calc-language 'maple) "" | |
329 | (if (memq (nth 1 a) '(0 1)) "(" "[")) | |
330 | (math-compose-expr (nth 2 a) 0) | |
331 | (if (eq calc-language 'tex) " \\ldots " | |
332 | (if (eq calc-language 'eqn) " ... " " .. ")) | |
333 | (math-compose-expr (nth 3 a) 0) | |
334 | (if (eq calc-language 'maple) "" | |
335 | (if (memq (nth 1 a) '(0 2)) ")" "]")))) | |
336 | ((eq (car a) 'date) | |
337 | (if (eq (car calc-date-format) 'X) | |
338 | (math-format-date a) | |
339 | (concat "<" (math-format-date a) ">"))) | |
340 | ((and (eq (car a) 'calcFunc-subscr) (cdr (cdr a)) | |
341 | (memq calc-language '(c pascal fortran maple))) | |
342 | (let ((args (cdr (cdr a)))) | |
343 | (while (and (memq calc-language '(pascal fortran)) | |
344 | (eq (car-safe (nth 1 a)) 'calcFunc-subscr)) | |
345 | (setq args (append (cdr (cdr (nth 1 a))) args) | |
346 | a (nth 1 a))) | |
347 | (list 'horiz | |
348 | (math-compose-expr (nth 1 a) 1000) | |
349 | (if (eq calc-language 'fortran) "(" "[") | |
350 | (math-compose-vector args ", " 0) | |
351 | (if (eq calc-language 'fortran) ")" "]")))) | |
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)))) | |
361 | (list 'subscr | |
362 | (nth 1 a1) | |
363 | (list 'horiz | |
364 | (nth 2 a1) | |
365 | ", " | |
366 | a2)) | |
367 | (list 'subscr a1 a2)))) | |
368 | ((and (eq (car a) 'calcFunc-subscr) (= (length a) 3) | |
369 | (eq calc-language 'math)) | |
370 | (list 'horiz | |
371 | (math-compose-expr (nth 1 a) 1000) | |
372 | "[[" | |
373 | (math-compose-expr (nth 2 a) 0) | |
374 | "]]")) | |
375 | ((and (eq (car a) 'calcFunc-sqrt) | |
376 | (eq calc-language 'tex)) | |
377 | (list 'horiz | |
378 | "\\sqrt{" | |
379 | (math-compose-expr (nth 1 a) 0) | |
380 | "}")) | |
381 | ((and nil (eq (car a) 'calcFunc-sqrt) | |
382 | (eq calc-language 'eqn)) | |
383 | (list 'horiz | |
384 | "sqrt {" | |
385 | (math-compose-expr (nth 1 a) -1) | |
386 | "}")) | |
387 | ((and (eq (car a) '^) | |
388 | (eq calc-language 'big)) | |
389 | (list 'supscr | |
390 | (if (or (math-looks-negp (nth 1 a)) | |
391 | (memq (car-safe (nth 1 a)) '(^ / frac calcFunc-sqrt)) | |
392 | (and (eq (car-safe (nth 1 a)) 'cplx) | |
393 | (math-negp (nth 1 (nth 1 a))) | |
394 | (eq (nth 2 (nth 1 a)) 0))) | |
395 | (list 'horiz "(" (math-compose-expr (nth 1 a) 0) ")") | |
396 | (math-compose-expr (nth 1 a) 201)) | |
397 | (let ((calc-language 'flat) | |
398 | (calc-number-radix 10)) | |
399 | (math-compose-expr (nth 2 a) 0)))) | |
400 | ((and (eq (car a) '/) | |
401 | (eq calc-language 'big)) | |
402 | (let ((a1 (let ((calc-language (if (memq (car-safe (nth 1 a)) '(/ frac)) | |
403 | 'flat 'big))) | |
404 | (math-compose-expr (nth 1 a) 0))) | |
405 | (a2 (let ((calc-language (if (memq (car-safe (nth 2 a)) '(/ frac)) | |
406 | 'flat 'big))) | |
407 | (math-compose-expr (nth 2 a) 0)))) | |
408 | (list 'vcent | |
409 | (math-comp-height a1) | |
410 | a1 '(rule ?-) a2))) | |
411 | ((and (memq (car a) '(calcFunc-sum calcFunc-prod)) | |
412 | (eq calc-language 'tex) | |
413 | (= (length a) 5)) | |
414 | (list 'horiz (if (eq (car a) 'calcFunc-sum) "\\sum" "\\prod") | |
415 | "_{" (math-compose-expr (nth 2 a) 0) | |
416 | "=" (math-compose-expr (nth 3 a) 0) | |
417 | "}^{" (math-compose-expr (nth 4 a) 0) | |
418 | "}{" (math-compose-expr (nth 1 a) 0) "}")) | |
419 | ((and (eq (car a) 'calcFunc-lambda) | |
420 | (> (length a) 2) | |
421 | (memq calc-language '(nil flat big))) | |
422 | (let ((p (cdr a)) | |
423 | (ap calc-arg-values) | |
424 | (math-compose-hash-args (if (= (length a) 3) 1 t))) | |
425 | (while (and (cdr p) (equal (car p) (car ap))) | |
426 | (setq p (cdr p) ap (cdr ap))) | |
427 | (append '(horiz "<") | |
428 | (if (cdr p) | |
429 | (list (math-compose-vector | |
430 | (nreverse (cdr (reverse (cdr a)))) ", " 0) | |
431 | " : ") | |
432 | nil) | |
433 | (list (math-compose-expr (nth (1- (length a)) a) 0) | |
434 | ">")))) | |
435 | ((and (eq (car a) 'calcFunc-string) | |
436 | (= (length a) 2) | |
437 | (math-vectorp (nth 1 a)) | |
438 | (math-vector-is-string (nth 1 a))) | |
439 | (if (eq calc-language 'unform) | |
440 | (concat "string(" (math-vector-to-string (nth 1 a) t) ")") | |
441 | (math-vector-to-string (nth 1 a) nil))) | |
442 | ((and (eq (car a) 'calcFunc-bstring) | |
443 | (= (length a) 2) | |
444 | (math-vectorp (nth 1 a)) | |
445 | (math-vector-is-string (nth 1 a))) | |
446 | (if (eq calc-language 'unform) | |
447 | (concat "bstring(" (math-vector-to-string (nth 1 a) t) ")") | |
448 | (let ((c nil) | |
449 | (s (math-vector-to-string (nth 1 a) nil)) | |
450 | p) | |
451 | (while (string-match "[^ ] +[^ ]" s) | |
452 | (setq p (1- (match-end 0)) | |
453 | c (cons (list 'break math-compose-level) | |
454 | (cons (substring s 0 p) | |
455 | c)) | |
456 | s (substring s p))) | |
457 | (setq c (nreverse (cons s c))) | |
458 | (or (= prec -123) | |
459 | (setq c (cons (list 'set math-compose-level 2) c))) | |
460 | (cons 'horiz c)))) | |
461 | ((and (eq (car a) 'calcFunc-cprec) | |
462 | (not (eq calc-language 'unform)) | |
463 | (= (length a) 3) | |
464 | (integerp (nth 2 a))) | |
465 | (let ((c (math-compose-expr (nth 1 a) -1))) | |
466 | (if (> prec (nth 2 a)) | |
467 | (if (eq calc-language 'tex) | |
468 | (list 'horiz "\\left( " c " \\right)") | |
469 | (if (eq calc-language 'eqn) | |
470 | (list 'horiz "{left ( " c " right )}") | |
471 | (list 'horiz "(" c ")"))) | |
472 | c))) | |
473 | ((and (eq (car a) 'calcFunc-choriz) | |
474 | (not (eq calc-language 'unform)) | |
475 | (memq (length a) '(2 3 4)) | |
476 | (math-vectorp (nth 1 a)) | |
477 | (if (integerp (nth 2 a)) | |
478 | (or (null (nth 3 a)) | |
479 | (and (math-vectorp (nth 3 a)) | |
480 | (math-vector-is-string (nth 3 a)))) | |
481 | (or (null (nth 2 a)) | |
482 | (and (math-vectorp (nth 2 a)) | |
483 | (math-vector-is-string (nth 2 a)))))) | |
484 | (let* ((cprec (and (integerp (nth 2 a)) (nth 2 a))) | |
485 | (sep (nth (if cprec 3 2) a)) | |
486 | (bprec nil)) | |
487 | (if sep | |
488 | (math-compose-vector (cdr (nth 1 a)) | |
489 | (math-vector-to-string sep nil) | |
490 | (or cprec prec)) | |
491 | (cons 'horiz (mapcar (function | |
492 | (lambda (x) | |
493 | (if (eq (car-safe x) 'calcFunc-bstring) | |
494 | (prog1 | |
495 | (math-compose-expr | |
496 | x (or bprec cprec prec)) | |
497 | (setq bprec -123)) | |
498 | (math-compose-expr x (or cprec prec))))) | |
499 | (cdr (nth 1 a))))))) | |
500 | ((and (memq (car a) '(calcFunc-cvert calcFunc-clvert calcFunc-crvert)) | |
501 | (not (eq calc-language 'unform)) | |
502 | (memq (length a) '(2 3)) | |
503 | (math-vectorp (nth 1 a)) | |
504 | (or (null (nth 2 a)) | |
505 | (integerp (nth 2 a)))) | |
506 | (let* ((base 0) | |
507 | (v 0) | |
508 | (prec (or (nth 2 a) prec)) | |
509 | (c (mapcar (function | |
510 | (lambda (x) | |
511 | (let ((b nil) (cc nil) a d) | |
512 | (if (and (memq (car-safe x) '(calcFunc-cbase | |
513 | calcFunc-ctbase | |
514 | calcFunc-cbbase)) | |
515 | (memq (length x) '(1 2))) | |
516 | (setq b (car x) | |
517 | x (nth 1 x))) | |
518 | (if (and (eq (car-safe x) 'calcFunc-crule) | |
519 | (memq (length x) '(1 2)) | |
520 | (or (null (nth 1 x)) | |
521 | (and (math-vectorp (nth 1 x)) | |
522 | (= (length (nth 1 x)) 2) | |
523 | (math-vector-is-string | |
524 | (nth 1 x))) | |
525 | (and (natnump (nth 1 x)) | |
526 | (<= (nth 1 x) 255)))) | |
527 | (setq cc (list | |
528 | 'rule | |
529 | (if (math-vectorp (nth 1 x)) | |
530 | (aref (math-vector-to-string | |
531 | (nth 1 x) nil) 0) | |
532 | (or (nth 1 x) ?-)))) | |
533 | (or (and (memq (car-safe x) '(calcFunc-cvspace | |
534 | calcFunc-ctspace | |
535 | calcFunc-cbspace)) | |
536 | (memq (length x) '(2 3)) | |
537 | (eq (nth 1 x) 0)) | |
538 | (null x) | |
539 | (setq cc (math-compose-expr x prec)))) | |
540 | (setq a (if cc (math-comp-ascent cc) 0) | |
541 | d (if cc (math-comp-descent cc) 0)) | |
542 | (if (eq b 'calcFunc-cbase) | |
543 | (setq base (+ v a -1)) | |
544 | (if (eq b 'calcFunc-ctbase) | |
545 | (setq base v) | |
546 | (if (eq b 'calcFunc-cbbase) | |
547 | (setq base (+ v a d -1))))) | |
548 | (setq v (+ v a d)) | |
549 | cc))) | |
550 | (cdr (nth 1 a))))) | |
551 | (setq c (delq nil c)) | |
552 | (if c | |
553 | (cons (if (eq (car a) 'calcFunc-cvert) 'vcent | |
554 | (if (eq (car a) 'calcFunc-clvert) 'vleft 'vright)) | |
555 | (cons base c)) | |
556 | " "))) | |
557 | ((and (memq (car a) '(calcFunc-csup calcFunc-csub)) | |
558 | (not (eq calc-language 'unform)) | |
559 | (memq (length a) '(3 4)) | |
560 | (or (null (nth 3 a)) | |
561 | (integerp (nth 3 a)))) | |
562 | (list (if (eq (car a) 'calcFunc-csup) 'supscr 'subscr) | |
563 | (math-compose-expr (nth 1 a) (or (nth 3 a) 0)) | |
564 | (math-compose-expr (nth 2 a) 0))) | |
565 | ((and (eq (car a) 'calcFunc-cflat) | |
566 | (not (eq calc-language 'unform)) | |
567 | (memq (length a) '(2 3)) | |
568 | (or (null (nth 2 a)) | |
569 | (integerp (nth 2 a)))) | |
570 | (let ((calc-language (if (memq calc-language '(nil big)) | |
571 | 'flat calc-language))) | |
572 | (math-compose-expr (nth 1 a) (or (nth 2 a) 0)))) | |
573 | ((and (eq (car a) 'calcFunc-cspace) | |
574 | (memq (length a) '(2 3)) | |
575 | (natnump (nth 1 a))) | |
576 | (if (nth 2 a) | |
577 | (cons 'horiz (make-list (nth 1 a) | |
578 | (if (and (math-vectorp (nth 2 a)) | |
579 | (math-vector-is-string (nth 2 a))) | |
580 | (math-vector-to-string (nth 2 a) nil) | |
581 | (math-compose-expr (nth 2 a) 0)))) | |
582 | (make-string (nth 1 a) ?\ ))) | |
583 | ((and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
584 | (memq (length a) '(2 3)) | |
585 | (natnump (nth 1 a))) | |
586 | (if (= (nth 1 a) 0) | |
587 | "" | |
588 | (let* ((c (if (nth 2 a) | |
589 | (if (and (math-vectorp (nth 2 a)) | |
590 | (math-vector-is-string (nth 2 a))) | |
591 | (math-vector-to-string (nth 2 a) nil) | |
592 | (math-compose-expr (nth 2 a) 0)) | |
593 | " ")) | |
594 | (ca (math-comp-ascent c)) | |
595 | (cd (math-comp-descent c))) | |
596 | (cons 'vleft | |
597 | (cons (if (eq (car a) 'calcFunc-ctspace) | |
598 | (1- ca) | |
599 | (if (eq (car a) 'calcFunc-cbspace) | |
600 | (+ (* (1- (nth 1 a)) (+ ca cd)) (1- ca)) | |
601 | (/ (1- (* (nth 1 a) (+ ca cd))) 2))) | |
602 | (make-list (nth 1 a) c)))))) | |
603 | ((and (eq (car a) 'calcFunc-evalto) | |
604 | (setq calc-any-evaltos t) | |
605 | (memq calc-language '(tex eqn)) | |
606 | (= math-compose-level (if math-comp-tagged 2 1)) | |
607 | (= (length a) 3)) | |
608 | (list 'horiz | |
609 | (if (eq calc-language 'tex) "\\evalto " "evalto ") | |
610 | (math-compose-expr (nth 1 a) 0) | |
611 | (if (eq calc-language 'tex) " \\to " " -> ") | |
612 | (math-compose-expr (nth 2 a) 0))) | |
613 | (t | |
614 | (let ((op (and (not (eq calc-language 'unform)) | |
615 | (if (and (eq (car a) 'calcFunc-if) (= (length a) 4)) | |
616 | (assoc "?" math-expr-opers) | |
617 | (math-assq2 (car a) math-expr-opers))))) | |
618 | (cond ((and op | |
619 | (or (= (length a) 3) (eq (car a) 'calcFunc-if)) | |
620 | (/= (nth 3 op) -1)) | |
621 | (cond | |
622 | ((> prec (or (nth 4 op) (min (nth 2 op) (nth 3 op)))) | |
623 | (if (and (eq calc-language 'tex) | |
624 | (not (math-tex-expr-is-flat a))) | |
625 | (if (eq (car-safe a) '/) | |
626 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
627 | (list 'horiz "\\left( " | |
628 | (math-compose-expr a -1) | |
629 | " \\right)")) | |
630 | (if (eq calc-language 'eqn) | |
631 | (if (or (eq (car-safe a) '/) | |
632 | (= (/ prec 100) 9)) | |
633 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
634 | (if (math-tex-expr-is-flat a) | |
635 | (list 'horiz "( " (math-compose-expr a -1) " )") | |
636 | (list 'horiz "{left ( " | |
637 | (math-compose-expr a -1) | |
638 | " right )}"))) | |
639 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
640 | ((and (eq calc-language 'tex) | |
641 | (memq (car a) '(/ calcFunc-choose calcFunc-evalto)) | |
642 | (>= prec 0)) | |
643 | (list 'horiz "{" (math-compose-expr a -1) "}")) | |
644 | ((eq (car a) 'calcFunc-if) | |
645 | (list 'horiz | |
646 | (math-compose-expr (nth 1 a) (nth 2 op)) | |
647 | " ? " | |
648 | (math-compose-expr (nth 2 a) 0) | |
649 | " : " | |
650 | (math-compose-expr (nth 3 a) (nth 3 op)))) | |
651 | (t | |
652 | (let* ((math-comp-tagged (and math-comp-tagged | |
653 | (not (math-primp a)) | |
654 | math-comp-tagged)) | |
655 | (setlev (if (= prec (min (nth 2 op) (nth 3 op))) | |
656 | (progn | |
657 | (setq math-compose-level | |
658 | (1- math-compose-level)) | |
659 | nil) | |
660 | math-compose-level)) | |
661 | (lhs (math-compose-expr (nth 1 a) (nth 2 op))) | |
662 | (rhs (math-compose-expr (nth 2 a) (nth 3 op)))) | |
663 | (and (equal (car op) "^") | |
664 | (eq (math-comp-first-char lhs) ?-) | |
665 | (setq lhs (list 'horiz "(" lhs ")"))) | |
666 | (and (eq calc-language 'tex) | |
667 | (or (equal (car op) "^") (equal (car op) "_")) | |
668 | (not (and (stringp rhs) (= (length rhs) 1))) | |
669 | (setq rhs (list 'horiz "{" rhs "}"))) | |
670 | (or (and (eq (car a) '*) | |
671 | (or (null calc-language) | |
672 | (assoc "2x" math-expr-opers)) | |
673 | (let* ((prevt (math-prod-last-term (nth 1 a))) | |
674 | (nextt (math-prod-first-term (nth 2 a))) | |
675 | (prevc (or (math-comp-last-char lhs) | |
676 | (and (memq (car-safe prevt) | |
677 | '(^ calcFunc-subscr | |
678 | calcFunc-sqrt | |
679 | frac)) | |
680 | (eq calc-language 'big) | |
681 | ?0))) | |
682 | (nextc (or (math-comp-first-char rhs) | |
683 | (and (memq (car-safe nextt) | |
684 | '(calcFunc-sqrt | |
685 | calcFunc-sum | |
686 | calcFunc-prod | |
687 | calcFunc-integ)) | |
688 | (eq calc-language 'big) | |
689 | ?0)))) | |
690 | (and prevc nextc | |
691 | (or (and (>= nextc ?a) (<= nextc ?z)) | |
692 | (and (>= nextc ?A) (<= nextc ?Z)) | |
693 | (and (>= nextc ?0) (<= nextc ?9)) | |
694 | (memq nextc '(?. ?_ ?# | |
695 | ?\( ?\[ ?\{)) | |
696 | (and (eq nextc ?\\) | |
697 | (not (string-match | |
698 | "\\`\\\\left(" | |
699 | (math-comp-first-string | |
700 | rhs))))) | |
701 | (not (and (eq (car-safe prevt) 'var) | |
702 | (eq nextc ?\())) | |
703 | (list 'horiz | |
704 | (list 'set setlev 1) | |
705 | lhs | |
706 | (list 'break math-compose-level) | |
707 | " " | |
708 | rhs)))) | |
709 | (list 'horiz | |
710 | (list 'set setlev 1) | |
711 | lhs | |
712 | (list 'break math-compose-level) | |
713 | (if (or (equal (car op) "^") | |
714 | (equal (car op) "_") | |
715 | (equal (car op) "**") | |
716 | (and (equal (car op) "*") | |
717 | (math-comp-last-char lhs) | |
718 | (math-comp-first-char rhs)) | |
719 | (and (equal (car op) "/") | |
720 | (math-num-integerp (nth 1 a)) | |
721 | (math-integerp (nth 2 a)))) | |
722 | (car op) | |
723 | (if (and (eq calc-language 'big) | |
724 | (equal (car op) "=>")) | |
725 | " => " | |
726 | (concat " " (car op) " "))) | |
727 | rhs)))))) | |
728 | ((and op (= (length a) 2) (= (nth 3 op) -1)) | |
729 | (cond | |
730 | ((or (> prec (or (nth 4 op) (nth 2 op))) | |
731 | (and (not (eq (assoc (car op) math-expr-opers) op)) | |
732 | (> prec 0))) ; don't write x% + y | |
733 | (if (and (eq calc-language 'tex) | |
734 | (not (math-tex-expr-is-flat a))) | |
735 | (list 'horiz "\\left( " | |
736 | (math-compose-expr a -1) | |
737 | " \\right)") | |
738 | (if (eq calc-language 'eqn) | |
739 | (if (= (/ prec 100) 9) | |
740 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
741 | (if (math-tex-expr-is-flat a) | |
742 | (list 'horiz "{( " (math-compose-expr a -1) " )}") | |
743 | (list 'horiz "{left ( " | |
744 | (math-compose-expr a -1) | |
745 | " right )}"))) | |
746 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
747 | (t | |
748 | (let ((lhs (math-compose-expr (nth 1 a) (nth 2 op)))) | |
749 | (list 'horiz | |
750 | lhs | |
751 | (if (or (> (length (car op)) 1) | |
752 | (not (math-comp-is-flat lhs))) | |
753 | (concat " " (car op)) | |
754 | (car op))))))) | |
755 | ((and op (= (length a) 2) (= (nth 2 op) -1)) | |
756 | (cond | |
757 | ((eq (nth 3 op) 0) | |
758 | (let ((lr (and (eq calc-language 'tex) | |
759 | (not (math-tex-expr-is-flat (nth 1 a)))))) | |
760 | (list 'horiz | |
761 | (if lr "\\left" "") | |
762 | (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" (car op)) | |
763 | (substring (car op) 1) | |
764 | (car op)) | |
765 | (if (or lr (> (length (car op)) 2)) " " "") | |
766 | (math-compose-expr (nth 1 a) -1) | |
767 | (if (or lr (> (length (car op)) 2)) " " "") | |
768 | (if lr "\\right" "") | |
769 | (car (nth 1 (memq op math-expr-opers)))))) | |
770 | ((> prec (or (nth 4 op) (nth 3 op))) | |
771 | (if (and (eq calc-language 'tex) | |
772 | (not (math-tex-expr-is-flat a))) | |
773 | (list 'horiz "\\left( " | |
774 | (math-compose-expr a -1) | |
775 | " \\right)") | |
776 | (if (eq calc-language 'eqn) | |
777 | (if (= (/ prec 100) 9) | |
778 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
779 | (if (math-tex-expr-is-flat a) | |
780 | (list 'horiz "{( " (math-compose-expr a -1) " )}") | |
781 | (list 'horiz "{left ( " | |
782 | (math-compose-expr a -1) | |
783 | " right )}"))) | |
784 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
785 | (t | |
786 | (let ((rhs (math-compose-expr (nth 1 a) (nth 3 op)))) | |
787 | (list 'horiz | |
788 | (let ((ops (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" | |
789 | (car op)) | |
790 | (substring (car op) 1) | |
791 | (car op)))) | |
792 | (if (or (> (length ops) 1) | |
793 | (not (math-comp-is-flat rhs))) | |
794 | (concat ops " ") | |
795 | ops)) | |
796 | rhs))))) | |
797 | ((and (eq calc-language 'big) | |
798 | (setq op (get (car a) 'math-compose-big)) | |
799 | (funcall op a prec))) | |
800 | ((and (setq op (assq calc-language | |
801 | '( ( nil . math-compose-normal ) | |
802 | ( flat . math-compose-normal ) | |
803 | ( big . math-compose-normal ) | |
804 | ( c . math-compose-c ) | |
805 | ( pascal . math-compose-pascal ) | |
806 | ( fortran . math-compose-fortran ) | |
807 | ( tex . math-compose-tex ) | |
808 | ( eqn . math-compose-eqn ) | |
809 | ( math . math-compose-math ) | |
810 | ( maple . math-compose-maple )))) | |
811 | (setq op (get (car a) (cdr op))) | |
812 | (funcall op a prec))) | |
813 | (t | |
814 | (let* ((func (car a)) | |
815 | (func2 (assq func '(( mod . calcFunc-makemod ) | |
816 | ( sdev . calcFunc-sdev ) | |
817 | ( + . calcFunc-add ) | |
818 | ( - . calcFunc-sub ) | |
819 | ( * . calcFunc-mul ) | |
820 | ( / . calcFunc-div ) | |
821 | ( % . calcFunc-mod ) | |
822 | ( ^ . calcFunc-pow ) | |
823 | ( neg . calcFunc-neg ) | |
824 | ( | . calcFunc-vconcat )))) | |
825 | left right args) | |
826 | (if func2 | |
827 | (setq func (cdr func2))) | |
828 | (if (setq func2 (rassq func math-expr-function-mapping)) | |
829 | (setq func (car func2))) | |
830 | (setq func (math-remove-dashes | |
831 | (if (string-match | |
832 | "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'" | |
833 | (symbol-name func)) | |
834 | (math-match-substring (symbol-name func) 1) | |
835 | (symbol-name func)))) | |
836 | (if (memq calc-language '(c fortran pascal maple)) | |
837 | (setq func (math-to-underscores func))) | |
838 | (if (and (eq calc-language 'tex) | |
839 | calc-language-option | |
840 | (not (= calc-language-option 0)) | |
841 | (string-match "\\`[a-zA-Z][a-zA-Z0-9]+\\'" func)) | |
842 | (if (< (prefix-numeric-value calc-language-option) 0) | |
843 | (setq func (format "\\%s" func)) | |
844 | (setq func (format "\\hbox{%s}" func)))) | |
845 | (if (and (eq calc-language 'eqn) | |
846 | (string-match "[^']'+\\'" func)) | |
847 | (let ((n (- (length func) (match-beginning 0) 1))) | |
848 | (setq func (substring func 0 (- n))) | |
849 | (while (>= (setq n (1- n)) 0) | |
850 | (setq func (concat func " prime"))))) | |
851 | (cond ((and (eq calc-language 'tex) | |
852 | (or (> (length a) 2) | |
853 | (not (math-tex-expr-is-flat (nth 1 a))))) | |
854 | (setq left "\\left( " | |
855 | right " \\right)")) | |
856 | ((and (eq calc-language 'eqn) | |
857 | (or (> (length a) 2) | |
858 | (not (math-tex-expr-is-flat (nth 1 a))))) | |
859 | (setq left "{left ( " | |
860 | right " right )}")) | |
861 | ((and (or (and (eq calc-language 'tex) | |
862 | (eq (aref func 0) ?\\)) | |
863 | (and (eq calc-language 'eqn) | |
864 | (memq (car a) math-eqn-special-funcs))) | |
865 | (not (string-match "\\hbox{" func)) | |
866 | (= (length a) 2) | |
867 | (or (Math-realp (nth 1 a)) | |
868 | (memq (car (nth 1 a)) '(var *)))) | |
869 | (setq left (if (eq calc-language 'eqn) "~{" "{") | |
870 | right "}")) | |
871 | ((eq calc-language 'eqn) | |
872 | (setq left " ( " | |
873 | right " )")) | |
874 | (t (setq left calc-function-open | |
875 | right calc-function-close))) | |
876 | (list 'horiz func left | |
877 | (math-compose-vector (cdr a) | |
878 | (if (eq calc-language 'eqn) | |
879 | " , " ", ") | |
880 | 0) | |
881 | right)))))))) | |
882 | ) | |
883 | ||
884 | (defconst math-eqn-special-funcs | |
885 | '( calcFunc-log | |
886 | calcFunc-ln calcFunc-exp | |
887 | calcFunc-sin calcFunc-cos calcFunc-tan | |
888 | calcFunc-sinh calcFunc-cosh calcFunc-tanh | |
889 | calcFunc-arcsin calcFunc-arccos calcFunc-arctan | |
890 | calcFunc-arcsinh calcFunc-arccosh calcFunc-arctanh | |
891 | )) | |
892 | ||
893 | ||
894 | (defun math-prod-first-term (x) | |
895 | (while (eq (car-safe x) '*) | |
896 | (setq x (nth 1 x))) | |
897 | x | |
898 | ) | |
899 | ||
900 | (defun math-prod-last-term (x) | |
901 | (while (eq (car-safe x) '*) | |
902 | (setq x (nth 2 x))) | |
903 | x | |
904 | ) | |
905 | ||
906 | (defun math-compose-vector (a sep prec) | |
907 | (if a | |
908 | (cons 'horiz | |
909 | (cons (list 'set math-compose-level) | |
910 | (let ((c (list (math-compose-expr (car a) prec)))) | |
911 | (while (setq a (cdr a)) | |
912 | (setq c (cons (if (eq (car-safe (car a)) | |
913 | 'calcFunc-bstring) | |
914 | (let ((math-compose-level | |
915 | (1- math-compose-level))) | |
916 | (math-compose-expr (car a) -123)) | |
917 | (math-compose-expr (car a) prec)) | |
918 | (cons (list 'break math-compose-level) | |
919 | (cons sep c))))) | |
920 | (nreverse c)))) | |
921 | "") | |
922 | ) | |
923 | ||
924 | (defun math-vector-no-parens (a) | |
925 | (or (cdr (cdr a)) | |
926 | (not (eq (car-safe (nth 1 a)) '*))) | |
927 | ) | |
928 | ||
929 | (defun math-compose-matrix (a col cols base) | |
930 | (let ((col 0) | |
931 | (res nil)) | |
932 | (while (<= (setq col (1+ col)) cols) | |
933 | (setq res (cons (cons just | |
934 | (cons base | |
935 | (mapcar (function | |
936 | (lambda (r) | |
937 | (list 'horiz | |
938 | (math-compose-expr | |
939 | (nth col r) | |
940 | vector-prec) | |
941 | (if (= col cols) | |
942 | "" | |
943 | (concat comma-spc " "))))) | |
944 | a))) | |
945 | res))) | |
946 | (nreverse res)) | |
947 | ) | |
948 | ||
949 | (defun math-compose-rows (a count first) | |
950 | (if (cdr a) | |
951 | (if (<= count 0) | |
952 | (if (< count 0) | |
953 | (math-compose-rows (cdr a) -1 nil) | |
954 | (cons (concat (if (eq calc-language 'tex) " \\ldots" " ...") | |
955 | comma) | |
956 | (math-compose-rows (cdr a) -1 nil))) | |
957 | (cons (list 'horiz | |
958 | (if first (concat left-bracket " ") " ") | |
959 | (math-compose-expr (car a) vector-prec) | |
960 | comma) | |
961 | (math-compose-rows (cdr a) (1- count) nil))) | |
962 | (list (list 'horiz | |
963 | (if first (concat left-bracket " ") " ") | |
964 | (math-compose-expr (car a) vector-prec) | |
965 | (concat " " right-bracket)))) | |
966 | ) | |
967 | ||
968 | (defun math-compose-tex-matrix (a) | |
969 | (if (cdr a) | |
970 | (cons (math-compose-vector (cdr (car a)) " & " 0) | |
971 | (cons " \\\\ " | |
972 | (math-compose-tex-matrix (cdr a)))) | |
973 | (list (math-compose-vector (cdr (car a)) " & " 0))) | |
974 | ) | |
975 | ||
976 | (defun math-compose-eqn-matrix (a) | |
977 | (if a | |
978 | (cons | |
979 | (cond ((eq calc-matrix-just 'right) "rcol ") | |
980 | ((eq calc-matrix-just 'center) "ccol ") | |
981 | (t "lcol ")) | |
982 | (cons | |
983 | (list 'break math-compose-level) | |
984 | (cons | |
985 | "{ " | |
986 | (cons | |
987 | (let ((math-compose-level (1+ math-compose-level))) | |
988 | (math-compose-vector (cdr (car a)) " above " 1000)) | |
989 | (cons | |
990 | " } " | |
991 | (math-compose-eqn-matrix (cdr a))))))) | |
992 | nil) | |
993 | ) | |
994 | ||
995 | (defun math-vector-is-string (a) | |
996 | (while (and (setq a (cdr a)) | |
997 | (or (and (natnump (car a)) | |
998 | (<= (car a) 255)) | |
999 | (and (eq (car-safe (car a)) 'cplx) | |
1000 | (natnump (nth 1 (car a))) | |
1001 | (eq (nth 2 (car a)) 0) | |
1002 | (<= (nth 1 (car a)) 255))))) | |
1003 | (null a) | |
1004 | ) | |
1005 | ||
1006 | (defun math-vector-to-string (a &optional quoted) | |
1007 | (setq a (concat (mapcar (function (lambda (x) (if (consp x) (nth 1 x) x))) | |
1008 | (cdr a)))) | |
1009 | (if (string-match "[\000-\037\177\\\"]" a) | |
1010 | (let ((p 0) | |
1011 | (pat (if quoted "[\000-\037\177\\\"]" "[\000-\037\177]")) | |
1012 | (codes (if quoted math-vector-to-string-chars '((?\^? . "^?")))) | |
1013 | (fmt (if quoted "\\^%c" "^%c")) | |
1014 | new) | |
1015 | (while (setq p (string-match pat a p)) | |
1016 | (if (setq new (assq (aref a p) codes)) | |
1017 | (setq a (concat (substring a 0 p) | |
1018 | (cdr new) | |
1019 | (substring a (1+ p))) | |
1020 | p (+ p (length (cdr new)))) | |
1021 | (setq a (concat (substring a 0 p) | |
1022 | (format fmt (+ (aref a p) 64)) | |
1023 | (substring a (1+ p))) | |
1024 | p (+ p 2)))))) | |
1025 | (if quoted | |
1026 | (concat "\"" a "\"") | |
1027 | a) | |
1028 | ) | |
1029 | (defconst math-vector-to-string-chars '( ( ?\" . "\\\"" ) | |
1030 | ( ?\\ . "\\\\" ) | |
1031 | ( ?\a . "\\a" ) | |
1032 | ( ?\b . "\\b" ) | |
1033 | ( ?\e . "\\e" ) | |
1034 | ( ?\f . "\\f" ) | |
1035 | ( ?\n . "\\n" ) | |
1036 | ( ?\r . "\\r" ) | |
1037 | ( ?\t . "\\t" ) | |
1038 | ( ?\^? . "\\^?" ) | |
1039 | )) | |
1040 | ||
1041 | (defun math-to-underscores (x) | |
1042 | (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x) | |
1043 | (math-to-underscores | |
1044 | (concat (math-match-substring x 1) "_" (math-match-substring x 2))) | |
1045 | x) | |
1046 | ) | |
1047 | ||
1048 | (defun math-tex-expr-is-flat (a) | |
1049 | (or (Math-integerp a) | |
1050 | (memq (car a) '(float var)) | |
1051 | (and (memq (car a) '(+ - * neg)) | |
1052 | (progn | |
1053 | (while (and (setq a (cdr a)) | |
1054 | (math-tex-expr-is-flat (car a)))) | |
1055 | (null a))) | |
1056 | (and (memq (car a) '(^ calcFunc-subscr)) | |
1057 | (math-tex-expr-is-flat (nth 1 a)))) | |
1058 | ) | |
1059 | ||
1060 | (put 'calcFunc-log 'math-compose-big 'math-compose-log) | |
1061 | (defun math-compose-log (a prec) | |
1062 | (and (= (length a) 3) | |
1063 | (list 'horiz | |
1064 | (list 'subscr "log" | |
1065 | (let ((calc-language 'flat)) | |
1066 | (math-compose-expr (nth 2 a) 1000))) | |
1067 | "(" | |
1068 | (math-compose-expr (nth 1 a) 1000) | |
1069 | ")")) | |
1070 | ) | |
1071 | ||
1072 | (put 'calcFunc-log10 'math-compose-big 'math-compose-log10) | |
1073 | (defun math-compose-log10 (a prec) | |
1074 | (and (= (length a) 2) | |
1075 | (list 'horiz | |
1076 | (list 'subscr "log" "10") | |
1077 | "(" | |
1078 | (math-compose-expr (nth 1 a) 1000) | |
1079 | ")")) | |
1080 | ) | |
1081 | ||
1082 | (put 'calcFunc-deriv 'math-compose-big 'math-compose-deriv) | |
1083 | (put 'calcFunc-tderiv 'math-compose-big 'math-compose-deriv) | |
1084 | (defun math-compose-deriv (a prec) | |
1085 | (and (= (length a) 3) | |
1086 | (math-compose-expr (list '/ | |
1087 | (list 'calcFunc-choriz | |
1088 | (list 'vec | |
1089 | '(calcFunc-string (vec ?d)) | |
1090 | (nth 1 a))) | |
1091 | (list 'calcFunc-choriz | |
1092 | (list 'vec | |
1093 | '(calcFunc-string (vec ?d)) | |
1094 | (nth 2 a)))) | |
1095 | prec)) | |
1096 | ) | |
1097 | ||
1098 | (put 'calcFunc-sqrt 'math-compose-big 'math-compose-sqrt) | |
1099 | (defun math-compose-sqrt (a prec) | |
1100 | (and (= (length a) 2) | |
1101 | (let* ((c (math-compose-expr (nth 1 a) 0)) | |
1102 | (a (math-comp-ascent c)) | |
1103 | (d (math-comp-descent c)) | |
1104 | (h (+ a d)) | |
1105 | (w (math-comp-width c))) | |
1106 | (list 'vleft | |
1107 | a | |
1108 | (concat (if (= h 1) " " " ") | |
1109 | (make-string (+ w 2) ?\_)) | |
1110 | (list 'horiz | |
1111 | (if (= h 1) | |
1112 | "V" | |
1113 | (append (list 'vleft (1- a)) | |
1114 | (make-list (1- h) " |") | |
1115 | '("\\|"))) | |
1116 | " " | |
1117 | c)))) | |
1118 | ) | |
1119 | ||
1120 | (put 'calcFunc-choose 'math-compose-big 'math-compose-choose) | |
1121 | (defun math-compose-choose (a prec) | |
1122 | (let ((a1 (math-compose-expr (nth 1 a) 0)) | |
1123 | (a2 (math-compose-expr (nth 2 a) 0))) | |
1124 | (list 'horiz | |
1125 | "(" | |
1126 | (list 'vcent | |
1127 | (math-comp-height a1) | |
1128 | a1 " " a2) | |
1129 | ")")) | |
1130 | ) | |
1131 | ||
1132 | (put 'calcFunc-integ 'math-compose-big 'math-compose-integ) | |
1133 | (defun math-compose-integ (a prec) | |
1134 | (and (memq (length a) '(3 5)) | |
1135 | (eq (car-safe (nth 2 a)) 'var) | |
1136 | (let* ((parens (and (>= prec 196) (/= prec 1000))) | |
1137 | (var (math-compose-expr (nth 2 a) 0)) | |
1138 | (over (and (eq (car-safe (nth 2 a)) 'var) | |
1139 | (or (and (eq (car-safe (nth 1 a)) '/) | |
1140 | (math-numberp (nth 1 (nth 1 a)))) | |
1141 | (and (eq (car-safe (nth 1 a)) '^) | |
1142 | (math-looks-negp (nth 2 (nth 1 a))))))) | |
1143 | (expr (math-compose-expr (if over | |
1144 | (math-mul (nth 1 a) | |
1145 | (math-build-var-name | |
1146 | (format | |
1147 | "d%s" | |
1148 | (nth 1 (nth 2 a))))) | |
1149 | (nth 1 a)) 185)) | |
1150 | (calc-language 'flat) | |
1151 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
1152 | (high (and (nth 4 a) (math-compose-expr (nth 4 a) 0)))) | |
1153 | (list 'horiz | |
1154 | (if parens "(" "") | |
1155 | (append (list 'vcent (if high 3 2)) | |
1156 | (and high (list (list 'horiz " " high))) | |
1157 | '(" /" | |
1158 | " | " | |
1159 | " | " | |
1160 | " | " | |
1161 | "/ ") | |
1162 | (and low (list (list 'horiz low " ")))) | |
1163 | expr | |
1164 | (if over | |
1165 | "" | |
1166 | (list 'horiz " d" var)) | |
1167 | (if parens ")" "")))) | |
1168 | ) | |
1169 | ||
1170 | (put 'calcFunc-sum 'math-compose-big 'math-compose-sum) | |
1171 | (defun math-compose-sum (a prec) | |
1172 | (and (memq (length a) '(3 5 6)) | |
1173 | (let* ((expr (math-compose-expr (nth 1 a) 185)) | |
1174 | (calc-language 'flat) | |
1175 | (var (math-compose-expr (nth 2 a) 0)) | |
1176 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
1177 | (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0)))) | |
1178 | (list 'horiz | |
1179 | (if (memq prec '(180 201)) "(" "") | |
1180 | (append (list 'vcent (if high 3 2)) | |
1181 | (and high (list high)) | |
1182 | '("---- " | |
1183 | "\\ " | |
1184 | " > " | |
1185 | "/ " | |
1186 | "---- ") | |
1187 | (if low | |
1188 | (list (list 'horiz var " = " low)) | |
1189 | (list var))) | |
1190 | (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod)) | |
1191 | " " "") | |
1192 | expr | |
1193 | (if (memq prec '(180 201)) ")" "")))) | |
1194 | ) | |
1195 | ||
1196 | (put 'calcFunc-prod 'math-compose-big 'math-compose-prod) | |
1197 | (defun math-compose-prod (a prec) | |
1198 | (and (memq (length a) '(3 5 6)) | |
1199 | (let* ((expr (math-compose-expr (nth 1 a) 198)) | |
1200 | (calc-language 'flat) | |
1201 | (var (math-compose-expr (nth 2 a) 0)) | |
1202 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
1203 | (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0)))) | |
1204 | (list 'horiz | |
1205 | (if (memq prec '(196 201)) "(" "") | |
1206 | (append (list 'vcent (if high 3 2)) | |
1207 | (and high (list high)) | |
1208 | '("----- " | |
1209 | " | | " | |
1210 | " | | " | |
1211 | " | | ") | |
1212 | (if low | |
1213 | (list (list 'horiz var " = " low)) | |
1214 | (list var))) | |
1215 | (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod)) | |
1216 | " " "") | |
1217 | expr | |
1218 | (if (memq prec '(196 201)) ")" "")))) | |
1219 | ) | |
1220 | ||
1221 | ||
1222 | (defun math-stack-value-offset-fancy () | |
1223 | (let ((cwid (+ (math-comp-width c)))) | |
1224 | (cond ((eq calc-display-just 'right) | |
1225 | (if calc-display-origin | |
1226 | (setq wid (max calc-display-origin 5)) | |
1227 | (if (integerp calc-line-breaking) | |
1228 | (setq wid calc-line-breaking))) | |
1229 | (setq off (- wid cwid | |
1230 | (max (- (length calc-right-label) | |
1231 | (if (and (integerp calc-line-breaking) | |
1232 | calc-display-origin) | |
1233 | (max (- calc-line-breaking | |
1234 | calc-display-origin) | |
1235 | 0) | |
1236 | 0)) | |
1237 | 0)))) | |
1238 | (t | |
1239 | (if calc-display-origin | |
1240 | (progn | |
1241 | (setq off (- calc-display-origin (/ cwid 2))) | |
1242 | (if (integerp calc-line-breaking) | |
1243 | (setq off (min off (- calc-line-breaking cwid | |
1244 | (length calc-right-label))))) | |
1245 | (if (>= off 0) | |
1246 | (setq wid (max wid (+ off cwid))))) | |
1247 | (if (integerp calc-line-breaking) | |
1248 | (setq wid calc-line-breaking)) | |
1249 | (setq off (/ (- wid cwid) 2))))) | |
1250 | (and (integerp calc-line-breaking) | |
1251 | (or (< off 0) | |
1252 | (and calc-display-origin | |
1253 | (> calc-line-breaking calc-display-origin))) | |
1254 | (setq wid calc-line-breaking))) | |
1255 | ) | |
1256 | ||
1257 | ||
1258 | ||
1259 | ;;; Convert a composition to string form, with embedded \n's if necessary. | |
1260 | ||
1261 | (defun math-composition-to-string (c &optional width) | |
1262 | (or width (setq width (calc-window-width))) | |
1263 | (if calc-display-raw | |
1264 | (math-comp-to-string-raw c 0) | |
1265 | (if (math-comp-is-flat c) | |
1266 | (math-comp-to-string-flat c width) | |
1267 | (math-vert-comp-to-string | |
1268 | (math-comp-simplify c width)))) | |
1269 | ) | |
1270 | ||
1271 | (defun math-comp-is-flat (c) ; check if c's height is 1. | |
1272 | (cond ((not (consp c)) t) | |
1273 | ((memq (car c) '(set break)) t) | |
1274 | ((eq (car c) 'horiz) | |
1275 | (while (and (setq c (cdr c)) | |
1276 | (math-comp-is-flat (car c)))) | |
1277 | (null c)) | |
1278 | ((memq (car c) '(vleft vcent vright)) | |
1279 | (and (= (length c) 3) | |
1280 | (= (nth 1 c) 0) | |
1281 | (math-comp-is-flat (nth 2 c)))) | |
1282 | ((eq (car c) 'tag) | |
1283 | (math-comp-is-flat (nth 2 c))) | |
1284 | (t nil)) | |
1285 | ) | |
1286 | ||
1287 | ||
1288 | ;;; Convert a one-line composition to a string. Break into multiple | |
1289 | ;;; lines if necessary, choosing break points according to the structure | |
1290 | ;;; of the formula. | |
1291 | ||
1292 | (defun math-comp-to-string-flat (c full-width) | |
1293 | (if math-comp-sel-hpos | |
1294 | (let ((comp-pos 0)) | |
1295 | (math-comp-sel-flat-term c)) | |
1296 | (let ((comp-buf "") | |
1297 | (comp-word "") | |
1298 | (comp-pos 0) | |
1299 | (comp-margin 0) | |
1300 | (comp-highlight (and math-comp-selected calc-show-selections)) | |
1301 | (comp-level -1)) | |
1302 | (math-comp-to-string-flat-term '(set -1 0)) | |
1303 | (math-comp-to-string-flat-term c) | |
1304 | (math-comp-to-string-flat-term '(break -1)) | |
1305 | (let ((str (aref math-comp-buf-string 0)) | |
1306 | (prefix "")) | |
1307 | (and (> (length str) 0) (= (aref str 0) ? ) | |
1308 | (> (length comp-buf) 0) | |
1309 | (let ((k (length comp-buf))) | |
1310 | (while (not (= (aref comp-buf (setq k (1- k))) ?\n))) | |
1311 | (aset comp-buf k ? ) | |
1312 | (if (and (< (1+ k) (length comp-buf)) | |
1313 | (= (aref comp-buf (1+ k)) ? )) | |
1314 | (progn | |
1315 | (aset comp-buf (1+ k) ?\n) | |
1316 | (setq prefix " ")) | |
1317 | (setq prefix "\n")))) | |
1318 | (concat comp-buf prefix str)))) | |
1319 | ) | |
1320 | (setq math-comp-buf-string (make-vector 10 "")) | |
1321 | (setq math-comp-buf-margin (make-vector 10 0)) | |
1322 | (setq math-comp-buf-level (make-vector 10 0)) | |
1323 | ||
1324 | (defun math-comp-to-string-flat-term (c) | |
1325 | (cond ((not (consp c)) | |
1326 | (if comp-highlight | |
1327 | (setq c (math-comp-highlight-string c))) | |
1328 | (setq comp-word (if (= (length comp-word) 0) c (concat comp-word c)) | |
1329 | comp-pos (+ comp-pos (length c)))) | |
1330 | ||
1331 | ((eq (car c) 'horiz) | |
1332 | (while (setq c (cdr c)) | |
1333 | (math-comp-to-string-flat-term (car c)))) | |
1334 | ||
1335 | ((eq (car c) 'set) | |
1336 | (if (nth 1 c) | |
1337 | (progn | |
1338 | (setq comp-level (1+ comp-level)) | |
1339 | (if (>= comp-level (length math-comp-buf-string)) | |
1340 | (setq math-comp-buf-string (vconcat math-comp-buf-string | |
1341 | math-comp-buf-string) | |
1342 | math-comp-buf-margin (vconcat math-comp-buf-margin | |
1343 | math-comp-buf-margin) | |
1344 | math-comp-buf-level (vconcat math-comp-buf-level | |
1345 | math-comp-buf-level))) | |
1346 | (aset math-comp-buf-string comp-level "") | |
1347 | (aset math-comp-buf-margin comp-level (+ comp-pos | |
1348 | (or (nth 2 c) 0))) | |
1349 | (aset math-comp-buf-level comp-level (nth 1 c))))) | |
1350 | ||
1351 | ((eq (car c) 'break) | |
1352 | (if (not calc-line-breaking) | |
1353 | (setq comp-buf (concat comp-buf comp-word) | |
1354 | comp-word "") | |
1355 | (let ((i 0) str) | |
1356 | (if (and (> comp-pos full-width) | |
1357 | (progn | |
1358 | (while (progn | |
1359 | (setq str (aref math-comp-buf-string i)) | |
1360 | (and (= (length str) 0) (< i comp-level))) | |
1361 | (setq i (1+ i))) | |
1362 | (or (> (length str) 0) (> (length comp-buf) 0)))) | |
1363 | (let ((prefix "") mrg wid) | |
1364 | (setq mrg (aref math-comp-buf-margin i)) | |
1365 | (if (> mrg 12) ; indenting too far, go back to far left | |
1366 | (let ((j i) (new (if calc-line-numbering 5 1))) | |
1367 | '(while (<= j comp-level) | |
1368 | (aset math-comp-buf-margin j | |
1369 | (+ (aref math-comp-buf-margin j) (- new mrg))) | |
1370 | (setq j (1+ j))) | |
1371 | (setq mrg new))) | |
1372 | (setq wid (+ (length str) comp-margin)) | |
1373 | (and (> (length str) 0) (= (aref str 0) ? ) | |
1374 | (> (length comp-buf) 0) | |
1375 | (let ((k (length comp-buf))) | |
1376 | (while (not (= (aref comp-buf (setq k (1- k))) ?\n))) | |
1377 | (aset comp-buf k ? ) | |
1378 | (if (and (< (1+ k) (length comp-buf)) | |
1379 | (= (aref comp-buf (1+ k)) ? )) | |
1380 | (progn | |
1381 | (aset comp-buf (1+ k) ?\n) | |
1382 | (setq prefix " ")) | |
1383 | (setq prefix "\n")))) | |
1384 | (setq comp-buf (concat comp-buf prefix str "\n" | |
1385 | (make-string mrg ? )) | |
1386 | comp-pos (+ comp-pos (- mrg wid)) | |
1387 | comp-margin mrg) | |
1388 | (aset math-comp-buf-string i "") | |
1389 | (while (<= (setq i (1+ i)) comp-level) | |
1390 | (if (> (aref math-comp-buf-margin i) wid) | |
1391 | (aset math-comp-buf-margin i | |
1392 | (+ (aref math-comp-buf-margin i) | |
1393 | (- mrg wid)))))))) | |
1394 | (if (and (= (nth 1 c) (aref math-comp-buf-level comp-level)) | |
1395 | (< comp-pos (+ (aref math-comp-buf-margin comp-level) 2))) | |
1396 | () ; avoid stupid breaks, e.g., "1 +\n really_long_expr" | |
1397 | (let ((str (aref math-comp-buf-string comp-level))) | |
1398 | (setq str (if (= (length str) 0) | |
1399 | comp-word | |
1400 | (concat str comp-word)) | |
1401 | comp-word "") | |
1402 | (while (< (nth 1 c) (aref math-comp-buf-level comp-level)) | |
1403 | (setq comp-level (1- comp-level)) | |
1404 | (or (= (length (aref math-comp-buf-string comp-level)) 0) | |
1405 | (setq str (concat (aref math-comp-buf-string comp-level) | |
1406 | str)))) | |
1407 | (aset math-comp-buf-string comp-level str))))) | |
1408 | ||
1409 | ((eq (car c) 'tag) | |
1410 | (cond ((eq (nth 1 c) math-comp-selected) | |
1411 | (let ((comp-highlight (not calc-show-selections))) | |
1412 | (math-comp-to-string-flat-term (nth 2 c)))) | |
1413 | ((eq (nth 1 c) t) | |
1414 | (let ((comp-highlight nil)) | |
1415 | (math-comp-to-string-flat-term (nth 2 c)))) | |
1416 | (t (math-comp-to-string-flat-term (nth 2 c))))) | |
1417 | ||
1418 | (t (math-comp-to-string-flat-term (nth 2 c)))) | |
1419 | ) | |
1420 | ||
1421 | (defun math-comp-highlight-string (s) | |
1422 | (setq s (copy-sequence s)) | |
1423 | (let ((i (length s))) | |
1424 | (while (>= (setq i (1- i)) 0) | |
1425 | (or (memq (aref s i) '(32 ?\n)) | |
1426 | (aset s i (if calc-show-selections ?\. ?\#))))) | |
1427 | s | |
1428 | ) | |
1429 | ||
1430 | (defun math-comp-sel-flat-term (c) | |
1431 | (cond ((not (consp c)) | |
1432 | (setq comp-pos (+ comp-pos (length c)))) | |
1433 | ((memq (car c) '(set break))) | |
1434 | ((eq (car c) 'horiz) | |
1435 | (while (and (setq c (cdr c)) (< math-comp-sel-cpos 1000000)) | |
1436 | (math-comp-sel-flat-term (car c)))) | |
1437 | ((eq (car c) 'tag) | |
1438 | (if (<= comp-pos math-comp-sel-cpos) | |
1439 | (progn | |
1440 | (math-comp-sel-flat-term (nth 2 c)) | |
1441 | (if (> comp-pos math-comp-sel-cpos) | |
1442 | (setq math-comp-sel-tag c | |
1443 | math-comp-sel-cpos 1000000))) | |
1444 | (math-comp-sel-flat-term (nth 2 c)))) | |
1445 | (t (math-comp-sel-flat-term (nth 2 c)))) | |
1446 | ) | |
1447 | ||
1448 | ||
1449 | ;;; Simplify a composition to a canonical form consisting of | |
1450 | ;;; (vleft n "string" "string" "string" ...) | |
1451 | ;;; where 0 <= n < number-of-strings. | |
1452 | ||
1453 | (defun math-comp-simplify (c full-width) | |
1454 | (let ((comp-buf (list "")) | |
1455 | (comp-base 0) | |
1456 | (comp-height 1) | |
1457 | (comp-hpos 0) | |
1458 | (comp-vpos 0) | |
1459 | (comp-highlight (and math-comp-selected calc-show-selections)) | |
1460 | (comp-tag nil)) | |
1461 | (math-comp-simplify-term c) | |
1462 | (cons 'vleft (cons comp-base comp-buf))) | |
1463 | ) | |
1464 | ||
1465 | (defun math-comp-add-string (s h v) | |
1466 | (and (> (length s) 0) | |
1467 | (let ((vv (+ v comp-base))) | |
1468 | (if math-comp-sel-hpos | |
1469 | (math-comp-add-string-sel h vv (length s) 1) | |
1470 | (if (< vv 0) | |
1471 | (setq comp-buf (nconc (make-list (- vv) "") comp-buf) | |
1472 | comp-base (- v) | |
1473 | comp-height (- comp-height vv) | |
1474 | vv 0) | |
1475 | (if (>= vv comp-height) | |
1476 | (setq comp-buf (nconc comp-buf | |
1477 | (make-list (1+ (- vv comp-height)) "")) | |
1478 | comp-height (1+ vv)))) | |
1479 | (let ((str (nthcdr vv comp-buf))) | |
1480 | (setcar str (concat (car str) | |
1481 | (make-string (- h (length (car str))) 32) | |
1482 | (if comp-highlight | |
1483 | (math-comp-highlight-string s) | |
1484 | s))))))) | |
1485 | ) | |
1486 | ||
1487 | (defun math-comp-add-string-sel (x y w h) | |
1488 | (if (and (<= y math-comp-sel-vpos) | |
1489 | (> (+ y h) math-comp-sel-vpos) | |
1490 | (<= x math-comp-sel-hpos) | |
1491 | (> (+ x w) math-comp-sel-hpos)) | |
1492 | (setq math-comp-sel-tag comp-tag | |
1493 | math-comp-sel-vpos 10000)) | |
1494 | ) | |
1495 | ||
1496 | (defun math-comp-simplify-term (c) | |
1497 | (cond ((stringp c) | |
1498 | (math-comp-add-string c comp-hpos comp-vpos) | |
1499 | (setq comp-hpos (+ comp-hpos (length c)))) | |
1500 | ((memq (car c) '(set break)) | |
1501 | nil) | |
1502 | ((eq (car c) 'horiz) | |
1503 | (while (setq c (cdr c)) | |
1504 | (math-comp-simplify-term (car c)))) | |
1505 | ((memq (car c) '(vleft vcent vright)) | |
1506 | (let* ((comp-vpos (+ (- comp-vpos (nth 1 c)) | |
1507 | (1- (math-comp-ascent (nth 2 c))))) | |
1508 | (widths (mapcar 'math-comp-width (cdr (cdr c)))) | |
1509 | (maxwid (apply 'max widths)) | |
1510 | (bias (cond ((eq (car c) 'vleft) 0) | |
1511 | ((eq (car c) 'vcent) 1) | |
1512 | (t 2)))) | |
1513 | (setq c (cdr c)) | |
1514 | (while (setq c (cdr c)) | |
1515 | (if (eq (car-safe (car c)) 'rule) | |
1516 | (math-comp-add-string (make-string maxwid (nth 1 (car c))) | |
1517 | comp-hpos comp-vpos) | |
1518 | (let ((comp-hpos (+ comp-hpos (/ (* bias (- maxwid | |
1519 | (car widths))) | |
1520 | 2)))) | |
1521 | (math-comp-simplify-term (car c)))) | |
1522 | (and (cdr c) | |
1523 | (setq comp-vpos (+ comp-vpos | |
1524 | (+ (math-comp-descent (car c)) | |
1525 | (math-comp-ascent (nth 1 c)))) | |
1526 | widths (cdr widths)))) | |
1527 | (setq comp-hpos (+ comp-hpos maxwid)))) | |
1528 | ((eq (car c) 'supscr) | |
1529 | (let* ((asc (or 1 (math-comp-ascent (nth 1 c)))) | |
1530 | (desc (math-comp-descent (nth 2 c))) | |
1531 | (oldh (prog1 | |
1532 | comp-hpos | |
1533 | (math-comp-simplify-term (nth 1 c)))) | |
1534 | (comp-vpos (- comp-vpos (+ asc desc)))) | |
1535 | (math-comp-simplify-term (nth 2 c)) | |
1536 | (if math-comp-sel-hpos | |
1537 | (math-comp-add-string-sel oldh | |
1538 | (- comp-vpos | |
1539 | -1 | |
1540 | (math-comp-ascent (nth 2 c))) | |
1541 | (- comp-hpos oldh) | |
1542 | (math-comp-height c))))) | |
1543 | ((eq (car c) 'subscr) | |
1544 | (let* ((asc (math-comp-ascent (nth 2 c))) | |
1545 | (desc (math-comp-descent (nth 1 c))) | |
1546 | (oldv comp-vpos) | |
1547 | (oldh (prog1 | |
1548 | comp-hpos | |
1549 | (math-comp-simplify-term (nth 1 c)))) | |
1550 | (comp-vpos (+ comp-vpos (+ asc desc)))) | |
1551 | (math-comp-simplify-term (nth 2 c)) | |
1552 | (if math-comp-sel-hpos | |
1553 | (math-comp-add-string-sel oldh oldv | |
1554 | (- comp-hpos oldh) | |
1555 | (math-comp-height c))))) | |
1556 | ((eq (car c) 'tag) | |
1557 | (cond ((eq (nth 1 c) math-comp-selected) | |
1558 | (let ((comp-highlight (not calc-show-selections))) | |
1559 | (math-comp-simplify-term (nth 2 c)))) | |
1560 | ((eq (nth 1 c) t) | |
1561 | (let ((comp-highlight nil)) | |
1562 | (math-comp-simplify-term (nth 2 c)))) | |
1563 | (t (let ((comp-tag c)) | |
1564 | (math-comp-simplify-term (nth 2 c))))))) | |
1565 | ) | |
1566 | ||
1567 | ||
1568 | ;;; Measuring a composition. | |
1569 | ||
1570 | (defun math-comp-first-char (c) | |
1571 | (cond ((stringp c) | |
1572 | (and (> (length c) 0) | |
1573 | (elt c 0))) | |
1574 | ((memq (car c) '(horiz subscr supscr)) | |
1575 | (while (and (setq c (cdr c)) | |
1576 | (math-comp-is-null (car c)))) | |
1577 | (and c (math-comp-first-char (car c)))) | |
1578 | ((eq (car c) 'tag) | |
1579 | (math-comp-first-char (nth 2 c)))) | |
1580 | ) | |
1581 | ||
1582 | (defun math-comp-first-string (c) | |
1583 | (cond ((stringp c) | |
1584 | (and (> (length c) 0) | |
1585 | c)) | |
1586 | ((eq (car c) 'horiz) | |
1587 | (while (and (setq c (cdr c)) | |
1588 | (math-comp-is-null (car c)))) | |
1589 | (and c (math-comp-first-string (car c)))) | |
1590 | ((eq (car c) 'tag) | |
1591 | (math-comp-first-string (nth 2 c)))) | |
1592 | ) | |
1593 | ||
1594 | (defun math-comp-last-char (c) | |
1595 | (cond ((stringp c) | |
1596 | (and (> (length c) 0) | |
1597 | (elt c (1- (length c))))) | |
1598 | ((eq (car c) 'horiz) | |
1599 | (let ((c (reverse (cdr c)))) | |
1600 | (while (and c (math-comp-is-null (car c))) | |
1601 | (setq c (cdr c))) | |
1602 | (and c (math-comp-last-char (car c))))) | |
1603 | ((eq (car c) 'tag) | |
1604 | (math-comp-last-char (nth 2 c)))) | |
1605 | ) | |
1606 | ||
1607 | (defun math-comp-is-null (c) | |
1608 | (cond ((stringp c) (= (length c) 0)) | |
1609 | ((memq (car c) '(horiz subscr supscr)) | |
1610 | (while (and (setq c (cdr c)) | |
1611 | (math-comp-is-null (car c)))) | |
1612 | (null c)) | |
1613 | ((eq (car c) 'tag) | |
1614 | (math-comp-is-null (nth 2 c))) | |
1615 | ((memq (car c) '(set break)) t)) | |
1616 | ) | |
1617 | ||
1618 | (defun math-comp-width (c) | |
1619 | (cond ((not (consp c)) (length c)) | |
1620 | ((memq (car c) '(horiz subscr supscr)) | |
1621 | (let ((accum 0)) | |
1622 | (while (setq c (cdr c)) | |
1623 | (setq accum (+ accum (math-comp-width (car c))))) | |
1624 | accum)) | |
1625 | ((memq (car c) '(vcent vleft vright)) | |
1626 | (setq c (cdr c)) | |
1627 | (let ((accum 0)) | |
1628 | (while (setq c (cdr c)) | |
1629 | (setq accum (max accum (math-comp-width (car c))))) | |
1630 | accum)) | |
1631 | ((eq (car c) 'tag) | |
1632 | (math-comp-width (nth 2 c))) | |
1633 | (t 0)) | |
1634 | ) | |
1635 | ||
1636 | (defun math-comp-height (c) | |
1637 | (if (stringp c) | |
1638 | 1 | |
1639 | (+ (math-comp-ascent c) (math-comp-descent c))) | |
1640 | ) | |
1641 | ||
1642 | (defun math-comp-ascent (c) | |
1643 | (cond ((not (consp c)) 1) | |
1644 | ((eq (car c) 'horiz) | |
1645 | (let ((accum 0)) | |
1646 | (while (setq c (cdr c)) | |
1647 | (setq accum (max accum (math-comp-ascent (car c))))) | |
1648 | accum)) | |
1649 | ((memq (car c) '(vcent vleft vright)) | |
1650 | (if (> (nth 1 c) 0) (1+ (nth 1 c)) 1)) | |
1651 | ((eq (car c) 'supscr) | |
1652 | (max (math-comp-ascent (nth 1 c)) (1+ (math-comp-height (nth 2 c))))) | |
1653 | ((eq (car c) 'subscr) | |
1654 | (math-comp-ascent (nth 1 c))) | |
1655 | ((eq (car c) 'tag) | |
1656 | (math-comp-ascent (nth 2 c))) | |
1657 | (t 1)) | |
1658 | ) | |
1659 | ||
1660 | (defun math-comp-descent (c) | |
1661 | (cond ((not (consp c)) 0) | |
1662 | ((eq (car c) 'horiz) | |
1663 | (let ((accum 0)) | |
1664 | (while (setq c (cdr c)) | |
1665 | (setq accum (max accum (math-comp-descent (car c))))) | |
1666 | accum)) | |
1667 | ((memq (car c) '(vcent vleft vright)) | |
1668 | (let ((accum (- (nth 1 c)))) | |
1669 | (setq c (cdr c)) | |
1670 | (while (setq c (cdr c)) | |
1671 | (setq accum (+ accum (math-comp-height (car c))))) | |
1672 | (max (1- accum) 0))) | |
1673 | ((eq (car c) 'supscr) | |
1674 | (math-comp-descent (nth 1 c))) | |
1675 | ((eq (car c) 'subscr) | |
1676 | (+ (math-comp-descent (nth 1 c)) (math-comp-height (nth 2 c)))) | |
1677 | ((eq (car c) 'tag) | |
1678 | (math-comp-descent (nth 2 c))) | |
1679 | (t 0)) | |
1680 | ) | |
1681 | ||
1682 | (defun calcFunc-cwidth (a &optional prec) | |
1683 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
1684 | (math-comp-width (math-compose-expr a (or prec 0))) | |
1685 | ) | |
1686 | ||
1687 | (defun calcFunc-cheight (a &optional prec) | |
1688 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
1689 | (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
1690 | (memq (length a) '(2 3)) | |
1691 | (eq (nth 1 a) 0)) | |
1692 | 0 | |
1693 | (math-comp-height (math-compose-expr a (or prec 0)))) | |
1694 | ) | |
1695 | ||
1696 | (defun calcFunc-cascent (a &optional prec) | |
1697 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
1698 | (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
1699 | (memq (length a) '(2 3)) | |
1700 | (eq (nth 1 a) 0)) | |
1701 | 0 | |
1702 | (math-comp-ascent (math-compose-expr a (or prec 0)))) | |
1703 | ) | |
1704 | ||
1705 | (defun calcFunc-cdescent (a &optional prec) | |
1706 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
1707 | (math-comp-descent (math-compose-expr a (or prec 0))) | |
1708 | ) | |
1709 | ||
1710 | ||
1711 | ;;; Convert a simplified composition into string form. | |
1712 | ||
1713 | (defun math-vert-comp-to-string (c) | |
1714 | (if (stringp c) | |
1715 | c | |
1716 | (math-vert-comp-to-string-step (cdr (cdr c)))) | |
1717 | ) | |
1718 | ||
1719 | (defun math-vert-comp-to-string-step (c) | |
1720 | (if (cdr c) | |
1721 | (concat (car c) "\n" (math-vert-comp-to-string-step (cdr c))) | |
1722 | (car c)) | |
1723 | ) | |
1724 | ||
1725 | ||
1726 | ;;; Convert a composition to a string in "raw" form (for debugging). | |
1727 | ||
1728 | (defun math-comp-to-string-raw (c indent) | |
1729 | (cond ((or (not (consp c)) (eq (car c) 'set)) | |
1730 | (prin1-to-string c)) | |
1731 | ((null (cdr c)) | |
1732 | (concat "(" (symbol-name (car c)) ")")) | |
1733 | (t | |
1734 | (let ((next-indent (+ indent 2 (length (symbol-name (car c)))))) | |
1735 | (concat "(" | |
1736 | (symbol-name (car c)) | |
1737 | " " | |
1738 | (math-comp-to-string-raw (nth 1 c) next-indent) | |
1739 | (math-comp-to-string-raw-step (cdr (cdr c)) | |
1740 | next-indent) | |
1741 | ")")))) | |
1742 | ) | |
1743 | ||
1744 | (defun math-comp-to-string-raw-step (cl indent) | |
1745 | (if cl | |
1746 | (concat "\n" | |
1747 | (make-string indent 32) | |
1748 | (math-comp-to-string-raw (car cl) indent) | |
1749 | (math-comp-to-string-raw-step (cdr cl) indent)) | |
1750 | "") | |
1751 | ) | |
1752 | ||
1753 | ||
1754 | ||
1755 |