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3132f345 CW |
1 | ;;; calccomp.el --- composition functions for Calc |
2 | ||
ab422c4d | 3 | ;; Copyright (C) 1990-1993, 2001-2013 Free Software Foundation, Inc. |
3132f345 CW |
4 | |
5 | ;; Author: David Gillespie <daveg@synaptics.com> | |
e8fff8ed | 6 | ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com> |
136211a9 EZ |
7 | |
8 | ;; This file is part of GNU Emacs. | |
9 | ||
662c9c64 | 10 | ;; GNU Emacs is free software: you can redistribute it and/or modify |
7c671b23 | 11 | ;; it under the terms of the GNU General Public License as published by |
662c9c64 GM |
12 | ;; the Free Software Foundation, either version 3 of the License, or |
13 | ;; (at your option) any later version. | |
7c671b23 | 14 | |
136211a9 | 15 | ;; GNU Emacs is distributed in the hope that it will be useful, |
7c671b23 GM |
16 | ;; but WITHOUT ANY WARRANTY; without even the implied warranty of |
17 | ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
18 | ;; GNU General Public License for more details. | |
19 | ||
20 | ;; You should have received a copy of the GNU General Public License | |
662c9c64 | 21 | ;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>. |
136211a9 | 22 | |
3132f345 | 23 | ;;; Commentary: |
136211a9 | 24 | |
3132f345 | 25 | ;;; Code: |
136211a9 EZ |
26 | |
27 | ;; This file is autoloaded from calc-ext.el. | |
136211a9 | 28 | |
cfd31ee4 | 29 | (require 'calc-ext) |
136211a9 EZ |
30 | (require 'calc-macs) |
31 | ||
136211a9 EZ |
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 | ||
be19ef0b GM |
52 | ;; math-comp-just and math-comp-comma-spc are local to |
53 | ;; math-compose-expr, but are used by math-compose-matrix, which is | |
fdcf8e2b JB |
54 | ;; called by math-compose-expr |
55 | (defvar math-comp-just) | |
56 | (defvar math-comp-comma-spc) | |
57 | ||
be19ef0b GM |
58 | ;; math-comp-vector-prec is local to math-compose-expr, but is used by |
59 | ;; math-compose-matrix and math-compose-rows, which are called by | |
fdcf8e2b JB |
60 | ;; math-compose-expr. |
61 | (defvar math-comp-vector-prec) | |
62 | ||
be19ef0b GM |
63 | ;; math-comp-left-bracket, math-comp-right-bracket and math-comp-comma are |
64 | ;; local to math-compose-expr, but are used by math-compose-rows, which is | |
fdcf8e2b JB |
65 | ;; called by math-compose-expr. |
66 | (defvar math-comp-left-bracket) | |
67 | (defvar math-comp-right-bracket) | |
68 | (defvar math-comp-comma) | |
69 | ||
2b8a3002 | 70 | (defun math-compose-var (a) |
28d88201 | 71 | (let (v sn) |
2b8a3002 JB |
72 | (if (and math-compose-hash-args |
73 | (let ((p calc-arg-values)) | |
74 | (setq v 1) | |
75 | (while (and p (not (equal (car p) a))) | |
76 | (setq p (and (eq math-compose-hash-args t) (cdr p)) | |
77 | v (1+ v))) | |
78 | p)) | |
79 | (if (eq math-compose-hash-args 1) | |
80 | "#" | |
81 | (format "#%d" v)) | |
28d88201 JB |
82 | (setq sn (symbol-name (nth 1 a))) |
83 | (if (memq calc-language calc-lang-allow-percentsigns) | |
84 | (setq sn (math-to-percentsigns sn))) | |
2b8a3002 | 85 | (if (memq calc-language calc-lang-allow-underscores) |
28d88201 JB |
86 | (setq sn (math-to-underscores sn))) |
87 | sn))) | |
fdcf8e2b | 88 | |
8b2e00a3 | 89 | ;;; Give multiplication precedence when composing to avoid |
31673780 JB |
90 | ;;; writing a*(b c) instead of a b c |
91 | (defun math-compose-expr (a prec &optional div) | |
92 | (let ((calc-multiplication-has-precedence t) | |
93 | (math-compose-level (1+ math-compose-level)) | |
b20c4725 | 94 | (math-expr-opers (math-expr-ops)) |
ddaad609 | 95 | spfn) |
136211a9 EZ |
96 | (cond |
97 | ((or (and (eq a math-comp-selected) a) | |
98 | (and math-comp-tagged | |
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))) | |
be19ef0b | 105 | ((setq spfn (assq (car-safe a) |
018f0ad2 | 106 | (get calc-language 'math-special-function-table))) |
ddaad609 | 107 | (setq spfn (cdr spfn)) |
018f0ad2 JB |
108 | (if (consp spfn) |
109 | (funcall (car spfn) a spfn) | |
110 | (funcall spfn a))) | |
136211a9 EZ |
111 | ((math-scalarp a) |
112 | (if (or (eq (car-safe a) 'frac) | |
113 | (and (nth 1 calc-frac-format) (Math-integerp a))) | |
018f0ad2 JB |
114 | (if (and |
115 | calc-language | |
be19ef0b | 116 | (not (memq calc-language |
018f0ad2 | 117 | '(flat big unform)))) |
136211a9 EZ |
118 | (let ((aa (math-adjust-fraction a)) |
119 | (calc-frac-format nil)) | |
120 | (math-compose-expr (list '/ | |
be19ef0b | 121 | (if (memq calc-language |
018f0ad2 | 122 | calc-lang-slash-idiv) |
136211a9 EZ |
123 | (math-float (nth 1 aa)) |
124 | (nth 1 aa)) | |
125 | (nth 2 aa)) prec)) | |
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) | |
131 | (c (list 'horiz | |
132 | (if (math-negp (nth 1 aa)) | |
133 | "- " "") | |
134 | (list 'vcent 1 | |
135 | (math-format-number | |
136 | (math-abs (nth 1 aa))) | |
137 | '(rule ?-) | |
138 | (math-format-number (nth 2 aa)))))) | |
139 | (if (= calc-number-radix 10) | |
140 | c | |
141 | (list 'horiz "(" c | |
142 | (list 'subscr ")" | |
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) | |
150 | (list 'horiz "(" | |
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) | |
155 | (not (Math-realp a)) | |
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)) | |
160 | (c nil)) | |
161 | (while (string-match (if (> calc-number-radix 14) | |
162 | "\\([0-9]+\\)#\\([0-9a-zA-Z., ]+\\)" | |
163 | "\\([0-9]+\\)#\\([0-9a-dA-D., ]+\\)") | |
164 | s) | |
165 | (setq c (nconc c (list (substring s 0 (match-beginning 0)) | |
166 | (list 'subscr | |
167 | (math-match-substring s 2) | |
168 | (math-match-substring s 1)))) | |
169 | s (substring s (match-end 0)))) | |
170 | (if (string-match | |
171 | "\\*\\([0-9.]+\\)\\^\\(-?[0-9]+\\)\\()?\\)\\'" s) | |
172 | (setq s (list 'horiz | |
173 | (substring s 0 (match-beginning 0)) " " | |
174 | (list 'supscr | |
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)) | |
182 | temp temp2) | |
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)))))))) | |
195 | ((eq (car a) 'vec) | |
fdcf8e2b | 196 | (let* ((math-comp-left-bracket (if calc-vector-brackets |
136211a9 | 197 | (substring calc-vector-brackets 0 1) "")) |
fdcf8e2b | 198 | (math-comp-right-bracket (if calc-vector-brackets |
136211a9 EZ |
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)) | |
fdcf8e2b JB |
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 | |
136211a9 EZ |
206 | (math-vector-no-parens a)) |
207 | (memq 'P calc-matrix-brackets)) 0 1000)) | |
fdcf8e2b JB |
208 | (math-comp-just (cond ((eq calc-matrix-just 'right) 'vright) |
209 | ((eq calc-matrix-just 'center) 'vcent) | |
210 | (t 'vleft))) | |
136211a9 EZ |
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))) | |
218 | (if (progn | |
fdcf8e2b JB |
219 | (setq math-comp-vector-prec (if (or (and calc-vector-commas |
220 | (math-vector-no-parens | |
221 | (nth 1 a))) | |
222 | (memq 'P calc-matrix-brackets)) | |
223 | 0 1000)) | |
136211a9 EZ |
224 | (= (length a) 2)) |
225 | (list 'horiz | |
fdcf8e2b JB |
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)) | |
136211a9 EZ |
230 | (let* ((rows (1- (length a))) |
231 | (cols (1- (length (nth 1 a)))) | |
232 | (base (/ (1- rows) 2)) | |
233 | (calc-language 'flat)) | |
234 | (append '(horiz) | |
235 | (list (append '(vleft) | |
236 | (list base) | |
237 | (list (concat (and outer-brackets | |
fdcf8e2b | 238 | (concat math-comp-left-bracket |
136211a9 EZ |
239 | " ")) |
240 | (and inner-brackets | |
fdcf8e2b | 241 | (concat math-comp-left-bracket |
136211a9 EZ |
242 | " ")))) |
243 | (make-list (1- rows) | |
244 | (concat (and outer-brackets | |
245 | " ") | |
246 | (and inner-brackets | |
247 | (concat | |
fdcf8e2b | 248 | math-comp-left-bracket |
136211a9 EZ |
249 | " ")))))) |
250 | (math-compose-matrix (cdr a) 1 cols base) | |
251 | (list (append '(vleft) | |
252 | (list base) | |
253 | (make-list (1- rows) | |
254 | (if inner-brackets | |
255 | (concat " " | |
fdcf8e2b | 256 | math-comp-right-bracket |
136211a9 | 257 | (and row-commas |
fdcf8e2b | 258 | math-comp-comma)) |
136211a9 EZ |
259 | (if (and outer-brackets |
260 | row-commas) | |
261 | ";" ""))) | |
262 | (list (concat | |
263 | (and inner-brackets | |
264 | (concat " " | |
fdcf8e2b | 265 | math-comp-right-bracket)) |
136211a9 EZ |
266 | (and outer-brackets |
267 | (concat | |
268 | " " | |
fdcf8e2b | 269 | math-comp-right-bracket))))))))) |
136211a9 EZ |
270 | (if (and calc-display-strings |
271 | (cdr a) | |
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)) | |
136211a9 EZ |
279 | (calc-break-vectors nil)) |
280 | (list 'horiz | |
281 | (cons 'vleft (cons base | |
282 | (math-compose-rows | |
283 | (cdr a) | |
284 | (if full rows 3) t))))) | |
285 | (if (or calc-full-vectors (< (length a) 7)) | |
be19ef0b | 286 | (if (and |
018f0ad2 JB |
287 | (setq spfn (get calc-language 'math-matrix-formatter)) |
288 | (math-matrixp a)) | |
289 | (funcall spfn a) | |
290 | (list 'horiz | |
291 | math-comp-left-bracket | |
be19ef0b | 292 | (math-compose-vector (cdr a) |
018f0ad2 JB |
293 | (concat math-comp-comma " ") |
294 | math-comp-vector-prec) | |
295 | math-comp-right-bracket)) | |
136211a9 | 296 | (list 'horiz |
fdcf8e2b | 297 | math-comp-left-bracket |
136211a9 | 298 | (math-compose-vector (list (nth 1 a) (nth 2 a) (nth 3 a)) |
be19ef0b | 299 | (concat math-comp-comma " ") |
fdcf8e2b | 300 | math-comp-vector-prec) |
be19ef0b | 301 | math-comp-comma |
018f0ad2 JB |
302 | (if (setq spfn (get calc-language 'math-dots)) |
303 | (concat " " spfn) | |
304 | " ...") | |
fdcf8e2b | 305 | math-comp-comma " " |
136211a9 EZ |
306 | (list 'break math-compose-level) |
307 | (math-compose-expr (nth (1- (length a)) a) | |
fdcf8e2b JB |
308 | (if (equal math-comp-comma "") 1000 0)) |
309 | math-comp-right-bracket))))))) | |
136211a9 EZ |
310 | ((eq (car a) 'incomplete) |
311 | (if (cdr (cdr a)) | |
312 | (cond ((eq (nth 1 a) 'vec) | |
313 | (list 'horiz "[" | |
314 | (math-compose-vector (cdr (cdr a)) ", " 0) | |
315 | " ...")) | |
316 | ((eq (nth 1 a) 'cplx) | |
317 | (list 'horiz "(" | |
318 | (math-compose-vector (cdr (cdr a)) ", " 0) | |
319 | ", ...")) | |
320 | ((eq (nth 1 a) 'polar) | |
321 | (list 'horiz "(" | |
322 | (math-compose-vector (cdr (cdr a)) "; " 0) | |
323 | "; ...")) | |
324 | ((eq (nth 1 a) 'intv) | |
325 | (list 'horiz | |
326 | (if (memq (nth 2 a) '(0 1)) "(" "[") | |
327 | (math-compose-vector (cdr (cdr (cdr a))) " .. " 0) | |
328 | " .. ...")) | |
329 | (t (format "%s" a))) | |
330 | (cond ((eq (nth 1 a) 'vec) "[ ...") | |
331 | ((eq (nth 1 a) 'intv) | |
332 | (if (memq (nth 2 a) '(0 1)) "( ..." "[ ...")) | |
333 | (t "( ...")))) | |
334 | ((eq (car a) 'var) | |
335 | (let ((v (rassq (nth 2 a) math-expr-variable-mapping))) | |
336 | (if v | |
337 | (symbol-name (car v)) | |
018f0ad2 | 338 | (if (setq spfn (get calc-language 'math-var-formatter)) |
2b8a3002 JB |
339 | (funcall spfn a prec) |
340 | (math-compose-var a))))) | |
136211a9 EZ |
341 | ((eq (car a) 'intv) |
342 | (list 'horiz | |
018f0ad2 | 343 | (if (memq (nth 1 a) '(0 1)) "(" "[") |
136211a9 | 344 | (math-compose-expr (nth 2 a) 0) |
018f0ad2 | 345 | " .. " |
136211a9 | 346 | (math-compose-expr (nth 3 a) 0) |
018f0ad2 | 347 | (if (memq (nth 1 a) '(0 2)) ")" "]"))) |
136211a9 EZ |
348 | ((eq (car a) 'date) |
349 | (if (eq (car calc-date-format) 'X) | |
350 | (math-format-date a) | |
351 | (concat "<" (math-format-date a) ">"))) | |
018f0ad2 JB |
352 | ((and (eq (car a) 'calcFunc-subscr) |
353 | (setq spfn (get calc-language 'math-compose-subscr))) | |
354 | (funcall spfn a)) | |
136211a9 EZ |
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)))) | |
364 | (list 'subscr | |
365 | (nth 1 a1) | |
366 | (list 'horiz | |
367 | (nth 2 a1) | |
368 | ", " | |
369 | a2)) | |
370 | (list 'subscr a1 a2)))) | |
136211a9 EZ |
371 | ((and (eq (car a) '^) |
372 | (eq calc-language 'big)) | |
373 | (list 'supscr | |
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) | |
064cb7e6 JB |
382 | (calc-number-radix 10) |
383 | (calc-twos-complement-mode nil)) | |
136211a9 EZ |
384 | (math-compose-expr (nth 2 a) 0)))) |
385 | ((and (eq (car a) '/) | |
386 | (eq calc-language 'big)) | |
387 | (let ((a1 (let ((calc-language (if (memq (car-safe (nth 1 a)) '(/ frac)) | |
388 | 'flat 'big))) | |
389 | (math-compose-expr (nth 1 a) 0))) | |
390 | (a2 (let ((calc-language (if (memq (car-safe (nth 2 a)) '(/ frac)) | |
391 | 'flat 'big))) | |
392 | (math-compose-expr (nth 2 a) 0)))) | |
393 | (list 'vcent | |
394 | (math-comp-height a1) | |
395 | a1 '(rule ?-) a2))) | |
136211a9 EZ |
396 | ((and (eq (car a) 'calcFunc-lambda) |
397 | (> (length a) 2) | |
398 | (memq calc-language '(nil flat big))) | |
399 | (let ((p (cdr a)) | |
400 | (ap calc-arg-values) | |
401 | (math-compose-hash-args (if (= (length a) 3) 1 t))) | |
402 | (while (and (cdr p) (equal (car p) (car ap))) | |
403 | (setq p (cdr p) ap (cdr ap))) | |
404 | (append '(horiz "<") | |
405 | (if (cdr p) | |
406 | (list (math-compose-vector | |
407 | (nreverse (cdr (reverse (cdr a)))) ", " 0) | |
408 | " : ") | |
409 | nil) | |
410 | (list (math-compose-expr (nth (1- (length a)) a) 0) | |
411 | ">")))) | |
412 | ((and (eq (car a) 'calcFunc-string) | |
413 | (= (length a) 2) | |
414 | (math-vectorp (nth 1 a)) | |
415 | (math-vector-is-string (nth 1 a))) | |
416 | (if (eq calc-language 'unform) | |
417 | (concat "string(" (math-vector-to-string (nth 1 a) t) ")") | |
418 | (math-vector-to-string (nth 1 a) nil))) | |
419 | ((and (eq (car a) 'calcFunc-bstring) | |
420 | (= (length a) 2) | |
421 | (math-vectorp (nth 1 a)) | |
422 | (math-vector-is-string (nth 1 a))) | |
423 | (if (eq calc-language 'unform) | |
424 | (concat "bstring(" (math-vector-to-string (nth 1 a) t) ")") | |
425 | (let ((c nil) | |
426 | (s (math-vector-to-string (nth 1 a) nil)) | |
427 | p) | |
428 | (while (string-match "[^ ] +[^ ]" s) | |
429 | (setq p (1- (match-end 0)) | |
430 | c (cons (list 'break math-compose-level) | |
431 | (cons (substring s 0 p) | |
432 | c)) | |
433 | s (substring s p))) | |
434 | (setq c (nreverse (cons s c))) | |
435 | (or (= prec -123) | |
436 | (setq c (cons (list 'set math-compose-level 2) c))) | |
437 | (cons 'horiz c)))) | |
438 | ((and (eq (car a) 'calcFunc-cprec) | |
439 | (not (eq calc-language 'unform)) | |
440 | (= (length a) 3) | |
441 | (integerp (nth 2 a))) | |
442 | (let ((c (math-compose-expr (nth 1 a) -1))) | |
443 | (if (> prec (nth 2 a)) | |
018f0ad2 JB |
444 | (if (setq spfn (get calc-language 'math-big-parens)) |
445 | (list 'horiz (car spfn) c (cdr spfn)) | |
446 | (list 'horiz "(" c ")")) | |
136211a9 EZ |
447 | c))) |
448 | ((and (eq (car a) 'calcFunc-choriz) | |
449 | (not (eq calc-language 'unform)) | |
450 | (memq (length a) '(2 3 4)) | |
451 | (math-vectorp (nth 1 a)) | |
452 | (if (integerp (nth 2 a)) | |
453 | (or (null (nth 3 a)) | |
454 | (and (math-vectorp (nth 3 a)) | |
455 | (math-vector-is-string (nth 3 a)))) | |
456 | (or (null (nth 2 a)) | |
457 | (and (math-vectorp (nth 2 a)) | |
458 | (math-vector-is-string (nth 2 a)))))) | |
459 | (let* ((cprec (and (integerp (nth 2 a)) (nth 2 a))) | |
460 | (sep (nth (if cprec 3 2) a)) | |
461 | (bprec nil)) | |
462 | (if sep | |
463 | (math-compose-vector (cdr (nth 1 a)) | |
464 | (math-vector-to-string sep nil) | |
465 | (or cprec prec)) | |
466 | (cons 'horiz (mapcar (function | |
467 | (lambda (x) | |
468 | (if (eq (car-safe x) 'calcFunc-bstring) | |
469 | (prog1 | |
470 | (math-compose-expr | |
471 | x (or bprec cprec prec)) | |
472 | (setq bprec -123)) | |
473 | (math-compose-expr x (or cprec prec))))) | |
474 | (cdr (nth 1 a))))))) | |
475 | ((and (memq (car a) '(calcFunc-cvert calcFunc-clvert calcFunc-crvert)) | |
476 | (not (eq calc-language 'unform)) | |
477 | (memq (length a) '(2 3)) | |
478 | (math-vectorp (nth 1 a)) | |
479 | (or (null (nth 2 a)) | |
480 | (integerp (nth 2 a)))) | |
481 | (let* ((base 0) | |
482 | (v 0) | |
483 | (prec (or (nth 2 a) prec)) | |
484 | (c (mapcar (function | |
485 | (lambda (x) | |
486 | (let ((b nil) (cc nil) a d) | |
487 | (if (and (memq (car-safe x) '(calcFunc-cbase | |
488 | calcFunc-ctbase | |
489 | calcFunc-cbbase)) | |
490 | (memq (length x) '(1 2))) | |
491 | (setq b (car x) | |
492 | x (nth 1 x))) | |
493 | (if (and (eq (car-safe x) 'calcFunc-crule) | |
494 | (memq (length x) '(1 2)) | |
495 | (or (null (nth 1 x)) | |
496 | (and (math-vectorp (nth 1 x)) | |
497 | (= (length (nth 1 x)) 2) | |
498 | (math-vector-is-string | |
499 | (nth 1 x))) | |
500 | (and (natnump (nth 1 x)) | |
501 | (<= (nth 1 x) 255)))) | |
502 | (setq cc (list | |
503 | 'rule | |
504 | (if (math-vectorp (nth 1 x)) | |
505 | (aref (math-vector-to-string | |
506 | (nth 1 x) nil) 0) | |
507 | (or (nth 1 x) ?-)))) | |
508 | (or (and (memq (car-safe x) '(calcFunc-cvspace | |
509 | calcFunc-ctspace | |
510 | calcFunc-cbspace)) | |
511 | (memq (length x) '(2 3)) | |
512 | (eq (nth 1 x) 0)) | |
513 | (null x) | |
514 | (setq cc (math-compose-expr x prec)))) | |
515 | (setq a (if cc (math-comp-ascent cc) 0) | |
516 | d (if cc (math-comp-descent cc) 0)) | |
517 | (if (eq b 'calcFunc-cbase) | |
518 | (setq base (+ v a -1)) | |
519 | (if (eq b 'calcFunc-ctbase) | |
520 | (setq base v) | |
521 | (if (eq b 'calcFunc-cbbase) | |
522 | (setq base (+ v a d -1))))) | |
523 | (setq v (+ v a d)) | |
524 | cc))) | |
525 | (cdr (nth 1 a))))) | |
526 | (setq c (delq nil c)) | |
527 | (if c | |
528 | (cons (if (eq (car a) 'calcFunc-cvert) 'vcent | |
529 | (if (eq (car a) 'calcFunc-clvert) 'vleft 'vright)) | |
530 | (cons base c)) | |
531 | " "))) | |
532 | ((and (memq (car a) '(calcFunc-csup calcFunc-csub)) | |
533 | (not (eq calc-language 'unform)) | |
534 | (memq (length a) '(3 4)) | |
535 | (or (null (nth 3 a)) | |
536 | (integerp (nth 3 a)))) | |
537 | (list (if (eq (car a) 'calcFunc-csup) 'supscr 'subscr) | |
538 | (math-compose-expr (nth 1 a) (or (nth 3 a) 0)) | |
539 | (math-compose-expr (nth 2 a) 0))) | |
540 | ((and (eq (car a) 'calcFunc-cflat) | |
541 | (not (eq calc-language 'unform)) | |
542 | (memq (length a) '(2 3)) | |
543 | (or (null (nth 2 a)) | |
544 | (integerp (nth 2 a)))) | |
545 | (let ((calc-language (if (memq calc-language '(nil big)) | |
546 | 'flat calc-language))) | |
547 | (math-compose-expr (nth 1 a) (or (nth 2 a) 0)))) | |
548 | ((and (eq (car a) 'calcFunc-cspace) | |
549 | (memq (length a) '(2 3)) | |
550 | (natnump (nth 1 a))) | |
551 | (if (nth 2 a) | |
552 | (cons 'horiz (make-list (nth 1 a) | |
553 | (if (and (math-vectorp (nth 2 a)) | |
554 | (math-vector-is-string (nth 2 a))) | |
555 | (math-vector-to-string (nth 2 a) nil) | |
556 | (math-compose-expr (nth 2 a) 0)))) | |
557 | (make-string (nth 1 a) ?\ ))) | |
558 | ((and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
559 | (memq (length a) '(2 3)) | |
560 | (natnump (nth 1 a))) | |
561 | (if (= (nth 1 a) 0) | |
562 | "" | |
563 | (let* ((c (if (nth 2 a) | |
564 | (if (and (math-vectorp (nth 2 a)) | |
565 | (math-vector-is-string (nth 2 a))) | |
566 | (math-vector-to-string (nth 2 a) nil) | |
567 | (math-compose-expr (nth 2 a) 0)) | |
568 | " ")) | |
569 | (ca (math-comp-ascent c)) | |
570 | (cd (math-comp-descent c))) | |
571 | (cons 'vleft | |
572 | (cons (if (eq (car a) 'calcFunc-ctspace) | |
573 | (1- ca) | |
574 | (if (eq (car a) 'calcFunc-cbspace) | |
575 | (+ (* (1- (nth 1 a)) (+ ca cd)) (1- ca)) | |
576 | (/ (1- (* (nth 1 a) (+ ca cd))) 2))) | |
577 | (make-list (nth 1 a) c)))))) | |
578 | ((and (eq (car a) 'calcFunc-evalto) | |
579 | (setq calc-any-evaltos t) | |
018f0ad2 | 580 | (setq spfn (get calc-language 'math-evalto)) |
136211a9 EZ |
581 | (= math-compose-level (if math-comp-tagged 2 1)) |
582 | (= (length a) 3)) | |
583 | (list 'horiz | |
018f0ad2 | 584 | (car spfn) |
136211a9 | 585 | (math-compose-expr (nth 1 a) 0) |
018f0ad2 | 586 | (cdr spfn) |
136211a9 EZ |
587 | (math-compose-expr (nth 2 a) 0))) |
588 | (t | |
589 | (let ((op (and (not (eq calc-language 'unform)) | |
590 | (if (and (eq (car a) 'calcFunc-if) (= (length a) 4)) | |
591 | (assoc "?" math-expr-opers) | |
592 | (math-assq2 (car a) math-expr-opers))))) | |
593 | (cond ((and op | |
594 | (or (= (length a) 3) (eq (car a) 'calcFunc-if)) | |
595 | (/= (nth 3 op) -1)) | |
596 | (cond | |
31673780 JB |
597 | ((or |
598 | (> prec (or (nth 4 op) (min (nth 2 op) (nth 3 op)))) | |
599 | (and div (eq (car a) '*))) | |
ddaad609 | 600 | (if (and (memq calc-language '(tex latex)) |
136211a9 EZ |
601 | (not (math-tex-expr-is-flat a))) |
602 | (if (eq (car-safe a) '/) | |
603 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
604 | (list 'horiz "\\left( " | |
605 | (math-compose-expr a -1) | |
606 | " \\right)")) | |
607 | (if (eq calc-language 'eqn) | |
608 | (if (or (eq (car-safe a) '/) | |
609 | (= (/ prec 100) 9)) | |
610 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
611 | (if (math-tex-expr-is-flat a) | |
612 | (list 'horiz "( " (math-compose-expr a -1) " )") | |
613 | (list 'horiz "{left ( " | |
614 | (math-compose-expr a -1) | |
615 | " right )}"))) | |
616 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
ddaad609 | 617 | ((and (memq calc-language '(tex latex)) |
136211a9 EZ |
618 | (memq (car a) '(/ calcFunc-choose calcFunc-evalto)) |
619 | (>= prec 0)) | |
620 | (list 'horiz "{" (math-compose-expr a -1) "}")) | |
621 | ((eq (car a) 'calcFunc-if) | |
622 | (list 'horiz | |
623 | (math-compose-expr (nth 1 a) (nth 2 op)) | |
624 | " ? " | |
625 | (math-compose-expr (nth 2 a) 0) | |
626 | " : " | |
627 | (math-compose-expr (nth 3 a) (nth 3 op)))) | |
628 | (t | |
629 | (let* ((math-comp-tagged (and math-comp-tagged | |
630 | (not (math-primp a)) | |
631 | math-comp-tagged)) | |
632 | (setlev (if (= prec (min (nth 2 op) (nth 3 op))) | |
633 | (progn | |
634 | (setq math-compose-level | |
635 | (1- math-compose-level)) | |
636 | nil) | |
637 | math-compose-level)) | |
638 | (lhs (math-compose-expr (nth 1 a) (nth 2 op))) | |
31673780 | 639 | (rhs (math-compose-expr (nth 2 a) (nth 3 op) (eq (nth 1 op) '/)))) |
136211a9 EZ |
640 | (and (equal (car op) "^") |
641 | (eq (math-comp-first-char lhs) ?-) | |
642 | (setq lhs (list 'horiz "(" lhs ")"))) | |
ddaad609 | 643 | (and (memq calc-language '(tex latex)) |
136211a9 EZ |
644 | (or (equal (car op) "^") (equal (car op) "_")) |
645 | (not (and (stringp rhs) (= (length rhs) 1))) | |
646 | (setq rhs (list 'horiz "{" rhs "}"))) | |
647 | (or (and (eq (car a) '*) | |
648 | (or (null calc-language) | |
649 | (assoc "2x" math-expr-opers)) | |
650 | (let* ((prevt (math-prod-last-term (nth 1 a))) | |
651 | (nextt (math-prod-first-term (nth 2 a))) | |
652 | (prevc (or (math-comp-last-char lhs) | |
653 | (and (memq (car-safe prevt) | |
654 | '(^ calcFunc-subscr | |
655 | calcFunc-sqrt | |
656 | frac)) | |
657 | (eq calc-language 'big) | |
658 | ?0))) | |
659 | (nextc (or (math-comp-first-char rhs) | |
660 | (and (memq (car-safe nextt) | |
661 | '(calcFunc-sqrt | |
662 | calcFunc-sum | |
663 | calcFunc-prod | |
664 | calcFunc-integ)) | |
665 | (eq calc-language 'big) | |
666 | ?0)))) | |
667 | (and prevc nextc | |
668 | (or (and (>= nextc ?a) (<= nextc ?z)) | |
669 | (and (>= nextc ?A) (<= nextc ?Z)) | |
ae6bc504 JB |
670 | (and (>= nextc ?α) (<= nextc ?ω)) |
671 | (and (>= nextc ?Α) (<= nextc ?Ω)) | |
136211a9 EZ |
672 | (and (>= nextc ?0) (<= nextc ?9)) |
673 | (memq nextc '(?. ?_ ?# | |
674 | ?\( ?\[ ?\{)) | |
675 | (and (eq nextc ?\\) | |
676 | (not (string-match | |
677 | "\\`\\\\left(" | |
678 | (math-comp-first-string | |
679 | rhs))))) | |
680 | (not (and (eq (car-safe prevt) 'var) | |
681 | (eq nextc ?\())) | |
682 | (list 'horiz | |
683 | (list 'set setlev 1) | |
684 | lhs | |
685 | (list 'break math-compose-level) | |
686 | " " | |
687 | rhs)))) | |
688 | (list 'horiz | |
689 | (list 'set setlev 1) | |
690 | lhs | |
691 | (list 'break math-compose-level) | |
692 | (if (or (equal (car op) "^") | |
693 | (equal (car op) "_") | |
694 | (equal (car op) "**") | |
695 | (and (equal (car op) "*") | |
696 | (math-comp-last-char lhs) | |
697 | (math-comp-first-char rhs)) | |
698 | (and (equal (car op) "/") | |
699 | (math-num-integerp (nth 1 a)) | |
700 | (math-integerp (nth 2 a)))) | |
701 | (car op) | |
702 | (if (and (eq calc-language 'big) | |
703 | (equal (car op) "=>")) | |
704 | " => " | |
705 | (concat " " (car op) " "))) | |
706 | rhs)))))) | |
707 | ((and op (= (length a) 2) (= (nth 3 op) -1)) | |
708 | (cond | |
709 | ((or (> prec (or (nth 4 op) (nth 2 op))) | |
710 | (and (not (eq (assoc (car op) math-expr-opers) op)) | |
711 | (> prec 0))) ; don't write x% + y | |
ddaad609 | 712 | (if (and (memq calc-language '(tex latex)) |
136211a9 EZ |
713 | (not (math-tex-expr-is-flat a))) |
714 | (list 'horiz "\\left( " | |
715 | (math-compose-expr a -1) | |
716 | " \\right)") | |
717 | (if (eq calc-language 'eqn) | |
718 | (if (= (/ prec 100) 9) | |
719 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
720 | (if (math-tex-expr-is-flat a) | |
721 | (list 'horiz "{( " (math-compose-expr a -1) " )}") | |
722 | (list 'horiz "{left ( " | |
723 | (math-compose-expr a -1) | |
724 | " right )}"))) | |
725 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
726 | (t | |
727 | (let ((lhs (math-compose-expr (nth 1 a) (nth 2 op)))) | |
728 | (list 'horiz | |
729 | lhs | |
730 | (if (or (> (length (car op)) 1) | |
731 | (not (math-comp-is-flat lhs))) | |
732 | (concat " " (car op)) | |
733 | (car op))))))) | |
734 | ((and op (= (length a) 2) (= (nth 2 op) -1)) | |
735 | (cond | |
736 | ((eq (nth 3 op) 0) | |
ddaad609 | 737 | (let ((lr (and (memq calc-language '(tex latex)) |
136211a9 EZ |
738 | (not (math-tex-expr-is-flat (nth 1 a)))))) |
739 | (list 'horiz | |
740 | (if lr "\\left" "") | |
ae6bc504 | 741 | (if (string-match "\\`u\\([^a-zA-Zα-ωΑ-Ω]\\)\\'" (car op)) |
136211a9 EZ |
742 | (substring (car op) 1) |
743 | (car op)) | |
744 | (if (or lr (> (length (car op)) 2)) " " "") | |
745 | (math-compose-expr (nth 1 a) -1) | |
746 | (if (or lr (> (length (car op)) 2)) " " "") | |
747 | (if lr "\\right" "") | |
748 | (car (nth 1 (memq op math-expr-opers)))))) | |
749 | ((> prec (or (nth 4 op) (nth 3 op))) | |
ddaad609 | 750 | (if (and (memq calc-language '(tex latex)) |
136211a9 EZ |
751 | (not (math-tex-expr-is-flat a))) |
752 | (list 'horiz "\\left( " | |
753 | (math-compose-expr a -1) | |
754 | " \\right)") | |
755 | (if (eq calc-language 'eqn) | |
756 | (if (= (/ prec 100) 9) | |
757 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
758 | (if (math-tex-expr-is-flat a) | |
759 | (list 'horiz "{( " (math-compose-expr a -1) " )}") | |
760 | (list 'horiz "{left ( " | |
761 | (math-compose-expr a -1) | |
762 | " right )}"))) | |
763 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
764 | (t | |
765 | (let ((rhs (math-compose-expr (nth 1 a) (nth 3 op)))) | |
766 | (list 'horiz | |
ae6bc504 | 767 | (let ((ops (if (string-match "\\`u\\([^a-zA-Zα-ωΑ-Ω]\\)\\'" |
136211a9 EZ |
768 | (car op)) |
769 | (substring (car op) 1) | |
770 | (car op)))) | |
771 | (if (or (> (length ops) 1) | |
772 | (not (math-comp-is-flat rhs))) | |
773 | (concat ops " ") | |
774 | ops)) | |
775 | rhs))))) | |
776 | ((and (eq calc-language 'big) | |
777 | (setq op (get (car a) 'math-compose-big)) | |
778 | (funcall op a prec))) | |
779 | ((and (setq op (assq calc-language | |
780 | '( ( nil . math-compose-normal ) | |
781 | ( flat . math-compose-normal ) | |
782 | ( big . math-compose-normal ) | |
783 | ( c . math-compose-c ) | |
784 | ( pascal . math-compose-pascal ) | |
785 | ( fortran . math-compose-fortran ) | |
786 | ( tex . math-compose-tex ) | |
ddaad609 | 787 | ( latex . math-compose-latex ) |
136211a9 | 788 | ( eqn . math-compose-eqn ) |
f2007b42 JB |
789 | ( yacas . math-compose-yacas ) |
790 | ( maxima . math-compose-maxima ) | |
791 | ( giac . math-compose-giac ) | |
136211a9 EZ |
792 | ( math . math-compose-math ) |
793 | ( maple . math-compose-maple )))) | |
794 | (setq op (get (car a) (cdr op))) | |
795 | (funcall op a prec))) | |
796 | (t | |
797 | (let* ((func (car a)) | |
798 | (func2 (assq func '(( mod . calcFunc-makemod ) | |
799 | ( sdev . calcFunc-sdev ) | |
800 | ( + . calcFunc-add ) | |
801 | ( - . calcFunc-sub ) | |
802 | ( * . calcFunc-mul ) | |
803 | ( / . calcFunc-div ) | |
804 | ( % . calcFunc-mod ) | |
805 | ( ^ . calcFunc-pow ) | |
806 | ( neg . calcFunc-neg ) | |
807 | ( | . calcFunc-vconcat )))) | |
808 | left right args) | |
809 | (if func2 | |
810 | (setq func (cdr func2))) | |
811 | (if (setq func2 (rassq func math-expr-function-mapping)) | |
812 | (setq func (car func2))) | |
813 | (setq func (math-remove-dashes | |
814 | (if (string-match | |
ae6bc504 | 815 | "\\`calcFunc-\\([a-zA-Zα-ωΑ-Ω0-9']+\\)\\'" |
136211a9 EZ |
816 | (symbol-name func)) |
817 | (math-match-substring (symbol-name func) 1) | |
818 | (symbol-name func)))) | |
28d88201 JB |
819 | (if (memq calc-language calc-lang-allow-percentsigns) |
820 | (setq func (math-to-percentsigns func))) | |
018f0ad2 | 821 | (if (memq calc-language calc-lang-allow-underscores) |
136211a9 | 822 | (setq func (math-to-underscores func))) |
018f0ad2 JB |
823 | (if (setq spfn (get calc-language 'math-func-formatter)) |
824 | (funcall spfn func a) | |
825 | ||
826 | (list 'horiz func calc-function-open | |
827 | (math-compose-vector (cdr a) ", " 0) | |
828 | calc-function-close)))))))))) | |
136211a9 | 829 | |
136211a9 EZ |
830 | |
831 | (defun math-prod-first-term (x) | |
832 | (while (eq (car-safe x) '*) | |
833 | (setq x (nth 1 x))) | |
bf77c646 | 834 | x) |
136211a9 EZ |
835 | |
836 | (defun math-prod-last-term (x) | |
837 | (while (eq (car-safe x) '*) | |
838 | (setq x (nth 2 x))) | |
bf77c646 | 839 | x) |
136211a9 EZ |
840 | |
841 | (defun math-compose-vector (a sep prec) | |
842 | (if a | |
843 | (cons 'horiz | |
844 | (cons (list 'set math-compose-level) | |
845 | (let ((c (list (math-compose-expr (car a) prec)))) | |
846 | (while (setq a (cdr a)) | |
847 | (setq c (cons (if (eq (car-safe (car a)) | |
848 | 'calcFunc-bstring) | |
849 | (let ((math-compose-level | |
850 | (1- math-compose-level))) | |
851 | (math-compose-expr (car a) -123)) | |
852 | (math-compose-expr (car a) prec)) | |
853 | (cons (list 'break math-compose-level) | |
854 | (cons sep c))))) | |
855 | (nreverse c)))) | |
bf77c646 | 856 | "")) |
136211a9 EZ |
857 | |
858 | (defun math-vector-no-parens (a) | |
859 | (or (cdr (cdr a)) | |
bf77c646 | 860 | (not (eq (car-safe (nth 1 a)) '*)))) |
136211a9 EZ |
861 | |
862 | (defun math-compose-matrix (a col cols base) | |
863 | (let ((col 0) | |
864 | (res nil)) | |
865 | (while (<= (setq col (1+ col)) cols) | |
fdcf8e2b | 866 | (setq res (cons (cons math-comp-just |
136211a9 EZ |
867 | (cons base |
868 | (mapcar (function | |
869 | (lambda (r) | |
870 | (list 'horiz | |
871 | (math-compose-expr | |
872 | (nth col r) | |
fdcf8e2b | 873 | math-comp-vector-prec) |
136211a9 EZ |
874 | (if (= col cols) |
875 | "" | |
be19ef0b | 876 | (concat |
fdcf8e2b | 877 | math-comp-comma-spc " "))))) |
136211a9 EZ |
878 | a))) |
879 | res))) | |
bf77c646 | 880 | (nreverse res))) |
136211a9 EZ |
881 | |
882 | (defun math-compose-rows (a count first) | |
883 | (if (cdr a) | |
884 | (if (<= count 0) | |
885 | (if (< count 0) | |
886 | (math-compose-rows (cdr a) -1 nil) | |
be19ef0b | 887 | (cons (concat |
018f0ad2 JB |
888 | (let ((mdots (get calc-language 'math-dots))) |
889 | (if mdots | |
890 | (concat " " mdots) | |
891 | " ...")) | |
892 | math-comp-comma) | |
136211a9 EZ |
893 | (math-compose-rows (cdr a) -1 nil))) |
894 | (cons (list 'horiz | |
fdcf8e2b JB |
895 | (if first (concat math-comp-left-bracket " ") " ") |
896 | (math-compose-expr (car a) math-comp-vector-prec) | |
897 | math-comp-comma) | |
136211a9 EZ |
898 | (math-compose-rows (cdr a) (1- count) nil))) |
899 | (list (list 'horiz | |
fdcf8e2b JB |
900 | (if first (concat math-comp-left-bracket " ") " ") |
901 | (math-compose-expr (car a) math-comp-vector-prec) | |
902 | (concat " " math-comp-right-bracket))))) | |
136211a9 | 903 | |
136211a9 EZ |
904 | (defun math-vector-is-string (a) |
905 | (while (and (setq a (cdr a)) | |
906 | (or (and (natnump (car a)) | |
907 | (<= (car a) 255)) | |
908 | (and (eq (car-safe (car a)) 'cplx) | |
909 | (natnump (nth 1 (car a))) | |
910 | (eq (nth 2 (car a)) 0) | |
911 | (<= (nth 1 (car a)) 255))))) | |
bf77c646 | 912 | (null a)) |
136211a9 | 913 | |
3132f345 CW |
914 | (defconst math-vector-to-string-chars '( ( ?\" . "\\\"" ) |
915 | ( ?\\ . "\\\\" ) | |
916 | ( ?\a . "\\a" ) | |
917 | ( ?\b . "\\b" ) | |
918 | ( ?\e . "\\e" ) | |
919 | ( ?\f . "\\f" ) | |
920 | ( ?\n . "\\n" ) | |
921 | ( ?\r . "\\r" ) | |
922 | ( ?\t . "\\t" ) | |
923 | ( ?\^? . "\\^?" ))) | |
924 | ||
136211a9 EZ |
925 | (defun math-vector-to-string (a &optional quoted) |
926 | (setq a (concat (mapcar (function (lambda (x) (if (consp x) (nth 1 x) x))) | |
927 | (cdr a)))) | |
928 | (if (string-match "[\000-\037\177\\\"]" a) | |
929 | (let ((p 0) | |
930 | (pat (if quoted "[\000-\037\177\\\"]" "[\000-\037\177]")) | |
931 | (codes (if quoted math-vector-to-string-chars '((?\^? . "^?")))) | |
932 | (fmt (if quoted "\\^%c" "^%c")) | |
933 | new) | |
934 | (while (setq p (string-match pat a p)) | |
935 | (if (setq new (assq (aref a p) codes)) | |
936 | (setq a (concat (substring a 0 p) | |
937 | (cdr new) | |
938 | (substring a (1+ p))) | |
939 | p (+ p (length (cdr new)))) | |
940 | (setq a (concat (substring a 0 p) | |
941 | (format fmt (+ (aref a p) 64)) | |
942 | (substring a (1+ p))) | |
943 | p (+ p 2)))))) | |
944 | (if quoted | |
945 | (concat "\"" a "\"") | |
bf77c646 | 946 | a)) |
3132f345 | 947 | |
136211a9 EZ |
948 | |
949 | (defun math-to-underscores (x) | |
950 | (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x) | |
951 | (math-to-underscores | |
952 | (concat (math-match-substring x 1) "_" (math-match-substring x 2))) | |
28d88201 JB |
953 | x)) |
954 | ||
955 | (defun math-to-percentsigns (x) | |
88cf3347 JB |
956 | (if (string-match "\\`\\(.*\\)o'o\\(.*\\)\\'" x) |
957 | (math-to-underscores | |
28d88201 | 958 | (concat (math-match-substring x 1) "%" (math-match-substring x 2))) |
bf77c646 | 959 | x)) |
136211a9 EZ |
960 | |
961 | (defun math-tex-expr-is-flat (a) | |
962 | (or (Math-integerp a) | |
963 | (memq (car a) '(float var)) | |
964 | (and (memq (car a) '(+ - * neg)) | |
965 | (progn | |
966 | (while (and (setq a (cdr a)) | |
967 | (math-tex-expr-is-flat (car a)))) | |
968 | (null a))) | |
969 | (and (memq (car a) '(^ calcFunc-subscr)) | |
bf77c646 | 970 | (math-tex-expr-is-flat (nth 1 a))))) |
136211a9 EZ |
971 | |
972 | (put 'calcFunc-log 'math-compose-big 'math-compose-log) | |
973 | (defun math-compose-log (a prec) | |
974 | (and (= (length a) 3) | |
975 | (list 'horiz | |
976 | (list 'subscr "log" | |
977 | (let ((calc-language 'flat)) | |
978 | (math-compose-expr (nth 2 a) 1000))) | |
979 | "(" | |
980 | (math-compose-expr (nth 1 a) 1000) | |
bf77c646 | 981 | ")"))) |
136211a9 EZ |
982 | |
983 | (put 'calcFunc-log10 'math-compose-big 'math-compose-log10) | |
984 | (defun math-compose-log10 (a prec) | |
985 | (and (= (length a) 2) | |
986 | (list 'horiz | |
987 | (list 'subscr "log" "10") | |
988 | "(" | |
989 | (math-compose-expr (nth 1 a) 1000) | |
bf77c646 | 990 | ")"))) |
136211a9 EZ |
991 | |
992 | (put 'calcFunc-deriv 'math-compose-big 'math-compose-deriv) | |
993 | (put 'calcFunc-tderiv 'math-compose-big 'math-compose-deriv) | |
994 | (defun math-compose-deriv (a prec) | |
3132f345 CW |
995 | (when (= (length a) 3) |
996 | (math-compose-expr (list '/ | |
997 | (list 'calcFunc-choriz | |
998 | (list 'vec | |
999 | '(calcFunc-string (vec ?d)) | |
1000 | (nth 1 a))) | |
1001 | (list 'calcFunc-choriz | |
1002 | (list 'vec | |
1003 | '(calcFunc-string (vec ?d)) | |
1004 | (nth 2 a)))) | |
1005 | prec))) | |
136211a9 EZ |
1006 | |
1007 | (put 'calcFunc-sqrt 'math-compose-big 'math-compose-sqrt) | |
1008 | (defun math-compose-sqrt (a prec) | |
3132f345 CW |
1009 | (when (= (length a) 2) |
1010 | (let* ((c (math-compose-expr (nth 1 a) 0)) | |
1011 | (a (math-comp-ascent c)) | |
1012 | (d (math-comp-descent c)) | |
1013 | (h (+ a d)) | |
1014 | (w (math-comp-width c))) | |
1015 | (list 'vleft | |
1016 | a | |
1017 | (concat (if (= h 1) " " " ") | |
1018 | (make-string (+ w 2) ?\_)) | |
1019 | (list 'horiz | |
1020 | (if (= h 1) | |
1021 | "V" | |
1022 | (append (list 'vleft (1- a)) | |
1023 | (make-list (1- h) " |") | |
1024 | '("\\|"))) | |
1025 | " " | |
1026 | c))))) | |
136211a9 EZ |
1027 | |
1028 | (put 'calcFunc-choose 'math-compose-big 'math-compose-choose) | |
1029 | (defun math-compose-choose (a prec) | |
1030 | (let ((a1 (math-compose-expr (nth 1 a) 0)) | |
1031 | (a2 (math-compose-expr (nth 2 a) 0))) | |
1032 | (list 'horiz | |
1033 | "(" | |
1034 | (list 'vcent | |
1035 | (math-comp-height a1) | |
1036 | a1 " " a2) | |
bf77c646 | 1037 | ")"))) |
136211a9 EZ |
1038 | |
1039 | (put 'calcFunc-integ 'math-compose-big 'math-compose-integ) | |
1040 | (defun math-compose-integ (a prec) | |
1041 | (and (memq (length a) '(3 5)) | |
1042 | (eq (car-safe (nth 2 a)) 'var) | |
1043 | (let* ((parens (and (>= prec 196) (/= prec 1000))) | |
1044 | (var (math-compose-expr (nth 2 a) 0)) | |
1045 | (over (and (eq (car-safe (nth 2 a)) 'var) | |
1046 | (or (and (eq (car-safe (nth 1 a)) '/) | |
1047 | (math-numberp (nth 1 (nth 1 a)))) | |
1048 | (and (eq (car-safe (nth 1 a)) '^) | |
1049 | (math-looks-negp (nth 2 (nth 1 a))))))) | |
1050 | (expr (math-compose-expr (if over | |
1051 | (math-mul (nth 1 a) | |
1052 | (math-build-var-name | |
1053 | (format | |
1054 | "d%s" | |
1055 | (nth 1 (nth 2 a))))) | |
1056 | (nth 1 a)) 185)) | |
1057 | (calc-language 'flat) | |
1058 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
1059 | (high (and (nth 4 a) (math-compose-expr (nth 4 a) 0)))) | |
1060 | (list 'horiz | |
1061 | (if parens "(" "") | |
1062 | (append (list 'vcent (if high 3 2)) | |
1063 | (and high (list (list 'horiz " " high))) | |
1064 | '(" /" | |
1065 | " | " | |
1066 | " | " | |
1067 | " | " | |
1068 | "/ ") | |
1069 | (and low (list (list 'horiz low " ")))) | |
1070 | expr | |
1071 | (if over | |
1072 | "" | |
1073 | (list 'horiz " d" var)) | |
bf77c646 | 1074 | (if parens ")" ""))))) |
136211a9 EZ |
1075 | |
1076 | (put 'calcFunc-sum 'math-compose-big 'math-compose-sum) | |
1077 | (defun math-compose-sum (a prec) | |
1078 | (and (memq (length a) '(3 5 6)) | |
1079 | (let* ((expr (math-compose-expr (nth 1 a) 185)) | |
1080 | (calc-language 'flat) | |
1081 | (var (math-compose-expr (nth 2 a) 0)) | |
1082 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
1083 | (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0)))) | |
1084 | (list 'horiz | |
1085 | (if (memq prec '(180 201)) "(" "") | |
1086 | (append (list 'vcent (if high 3 2)) | |
1087 | (and high (list high)) | |
1088 | '("---- " | |
1089 | "\\ " | |
1090 | " > " | |
1091 | "/ " | |
1092 | "---- ") | |
1093 | (if low | |
1094 | (list (list 'horiz var " = " low)) | |
1095 | (list var))) | |
1096 | (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod)) | |
1097 | " " "") | |
1098 | expr | |
bf77c646 | 1099 | (if (memq prec '(180 201)) ")" ""))))) |
136211a9 EZ |
1100 | |
1101 | (put 'calcFunc-prod 'math-compose-big 'math-compose-prod) | |
1102 | (defun math-compose-prod (a prec) | |
1103 | (and (memq (length a) '(3 5 6)) | |
1104 | (let* ((expr (math-compose-expr (nth 1 a) 198)) | |
1105 | (calc-language 'flat) | |
1106 | (var (math-compose-expr (nth 2 a) 0)) | |
1107 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
1108 | (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0)))) | |
1109 | (list 'horiz | |
1110 | (if (memq prec '(196 201)) "(" "") | |
1111 | (append (list 'vcent (if high 3 2)) | |
1112 | (and high (list high)) | |
1113 | '("----- " | |
1114 | " | | " | |
1115 | " | | " | |
1116 | " | | ") | |
1117 | (if low | |
1118 | (list (list 'horiz var " = " low)) | |
1119 | (list var))) | |
1120 | (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod)) | |
1121 | " " "") | |
1122 | expr | |
bf77c646 | 1123 | (if (memq prec '(196 201)) ")" ""))))) |
136211a9 | 1124 | |
fdcf8e2b | 1125 | ;; The variables math-svo-c, math-svo-wid and math-svo-off are local |
be19ef0b | 1126 | ;; to math-stack-value-offset in calc.el, but are used by |
fdcf8e2b JB |
1127 | ;; math-stack-value-offset-fancy, which is called by math-stack-value-offset.. |
1128 | (defvar math-svo-c) | |
1129 | (defvar math-svo-wid) | |
1130 | (defvar math-svo-off) | |
136211a9 EZ |
1131 | |
1132 | (defun math-stack-value-offset-fancy () | |
fdcf8e2b | 1133 | (let ((cwid (+ (math-comp-width math-svo-c)))) |
136211a9 EZ |
1134 | (cond ((eq calc-display-just 'right) |
1135 | (if calc-display-origin | |
fdcf8e2b | 1136 | (setq math-svo-wid (max calc-display-origin 5)) |
136211a9 | 1137 | (if (integerp calc-line-breaking) |
fdcf8e2b JB |
1138 | (setq math-svo-wid calc-line-breaking))) |
1139 | (setq math-svo-off (- math-svo-wid cwid | |
136211a9 EZ |
1140 | (max (- (length calc-right-label) |
1141 | (if (and (integerp calc-line-breaking) | |
1142 | calc-display-origin) | |
1143 | (max (- calc-line-breaking | |
1144 | calc-display-origin) | |
1145 | 0) | |
1146 | 0)) | |
1147 | 0)))) | |
1148 | (t | |
1149 | (if calc-display-origin | |
1150 | (progn | |
fdcf8e2b | 1151 | (setq math-svo-off (- calc-display-origin (/ cwid 2))) |
136211a9 | 1152 | (if (integerp calc-line-breaking) |
fdcf8e2b | 1153 | (setq math-svo-off (min math-svo-off (- calc-line-breaking cwid |
136211a9 | 1154 | (length calc-right-label))))) |
fdcf8e2b JB |
1155 | (if (>= math-svo-off 0) |
1156 | (setq math-svo-wid (max math-svo-wid (+ math-svo-off cwid))))) | |
136211a9 | 1157 | (if (integerp calc-line-breaking) |
fdcf8e2b JB |
1158 | (setq math-svo-wid calc-line-breaking)) |
1159 | (setq math-svo-off (/ (- math-svo-wid cwid) 2))))) | |
136211a9 | 1160 | (and (integerp calc-line-breaking) |
fdcf8e2b | 1161 | (or (< math-svo-off 0) |
136211a9 EZ |
1162 | (and calc-display-origin |
1163 | (> calc-line-breaking calc-display-origin))) | |
fdcf8e2b | 1164 | (setq math-svo-wid calc-line-breaking)))) |
136211a9 EZ |
1165 | |
1166 | ||
1167 | ;;; Convert a composition to string form, with embedded \n's if necessary. | |
1168 | ||
1169 | (defun math-composition-to-string (c &optional width) | |
1170 | (or width (setq width (calc-window-width))) | |
1171 | (if calc-display-raw | |
1172 | (math-comp-to-string-raw c 0) | |
1173 | (if (math-comp-is-flat c) | |
1174 | (math-comp-to-string-flat c width) | |
1175 | (math-vert-comp-to-string | |
bf77c646 | 1176 | (math-comp-simplify c width))))) |
136211a9 | 1177 | |
3132f345 CW |
1178 | (defvar math-comp-buf-string (make-vector 10 "")) |
1179 | (defvar math-comp-buf-margin (make-vector 10 0)) | |
1180 | (defvar math-comp-buf-level (make-vector 10 0)) | |
136211a9 EZ |
1181 | (defun math-comp-is-flat (c) ; check if c's height is 1. |
1182 | (cond ((not (consp c)) t) | |
1183 | ((memq (car c) '(set break)) t) | |
1184 | ((eq (car c) 'horiz) | |
1185 | (while (and (setq c (cdr c)) | |
1186 | (math-comp-is-flat (car c)))) | |
1187 | (null c)) | |
1188 | ((memq (car c) '(vleft vcent vright)) | |
1189 | (and (= (length c) 3) | |
1190 | (= (nth 1 c) 0) | |
1191 | (math-comp-is-flat (nth 2 c)))) | |
1192 | ((eq (car c) 'tag) | |
1193 | (math-comp-is-flat (nth 2 c))) | |
bf77c646 | 1194 | (t nil))) |
136211a9 EZ |
1195 | |
1196 | ||
1197 | ;;; Convert a one-line composition to a string. Break into multiple | |
1198 | ;;; lines if necessary, choosing break points according to the structure | |
1199 | ;;; of the formula. | |
1200 | ||
fdcf8e2b | 1201 | ;; The variables math-comp-full-width, math-comp-highlight, math-comp-word, |
be19ef0b GM |
1202 | ;; math-comp-level, math-comp-margin and math-comp-buf are local to |
1203 | ;; math-comp-to-string-flat, but are used by math-comp-to-string-flat-term, | |
fdcf8e2b | 1204 | ;; which is called by math-comp-to-string-flat. |
be19ef0b GM |
1205 | ;; math-comp-highlight and math-comp-buf are also local to |
1206 | ;; math-comp-simplify-term and math-comp-simplify respectively, but are used | |
fdcf8e2b JB |
1207 | ;; by math-comp-add-string. |
1208 | (defvar math-comp-full-width) | |
1209 | (defvar math-comp-highlight) | |
1210 | (defvar math-comp-word) | |
1211 | (defvar math-comp-level) | |
1212 | (defvar math-comp-margin) | |
1213 | (defvar math-comp-buf) | |
1214 | ;; The variable math-comp-pos is local to math-comp-to-string-flat, but | |
1215 | ;; is used by math-comp-to-string-flat-term and math-comp-sel-first-term, | |
1216 | ;; which are called by math-comp-to-string-flat. | |
1217 | (defvar math-comp-pos) | |
1218 | ||
1219 | (defun math-comp-to-string-flat (c math-comp-full-width) | |
136211a9 | 1220 | (if math-comp-sel-hpos |
fdcf8e2b | 1221 | (let ((math-comp-pos 0)) |
136211a9 | 1222 | (math-comp-sel-flat-term c)) |
fdcf8e2b JB |
1223 | (let ((math-comp-buf "") |
1224 | (math-comp-word "") | |
1225 | (math-comp-pos 0) | |
1226 | (math-comp-margin 0) | |
1227 | (math-comp-highlight (and math-comp-selected calc-show-selections)) | |
1228 | (math-comp-level -1)) | |
136211a9 EZ |
1229 | (math-comp-to-string-flat-term '(set -1 0)) |
1230 | (math-comp-to-string-flat-term c) | |
1231 | (math-comp-to-string-flat-term '(break -1)) | |
1232 | (let ((str (aref math-comp-buf-string 0)) | |
1233 | (prefix "")) | |
1234 | (and (> (length str) 0) (= (aref str 0) ? ) | |
fdcf8e2b JB |
1235 | (> (length math-comp-buf) 0) |
1236 | (let ((k (length math-comp-buf))) | |
1237 | (while (not (= (aref math-comp-buf (setq k (1- k))) ?\n))) | |
1238 | (aset math-comp-buf k ? ) | |
1239 | (if (and (< (1+ k) (length math-comp-buf)) | |
1240 | (= (aref math-comp-buf (1+ k)) ? )) | |
136211a9 | 1241 | (progn |
fdcf8e2b | 1242 | (aset math-comp-buf (1+ k) ?\n) |
136211a9 EZ |
1243 | (setq prefix " ")) |
1244 | (setq prefix "\n")))) | |
fdcf8e2b | 1245 | (concat math-comp-buf prefix str))))) |
136211a9 EZ |
1246 | |
1247 | (defun math-comp-to-string-flat-term (c) | |
1248 | (cond ((not (consp c)) | |
fdcf8e2b | 1249 | (if math-comp-highlight |
136211a9 | 1250 | (setq c (math-comp-highlight-string c))) |
be19ef0b | 1251 | (setq math-comp-word (if (= (length math-comp-word) 0) c |
fdcf8e2b JB |
1252 | (concat math-comp-word c)) |
1253 | math-comp-pos (+ math-comp-pos (length c)))) | |
136211a9 EZ |
1254 | |
1255 | ((eq (car c) 'horiz) | |
1256 | (while (setq c (cdr c)) | |
1257 | (math-comp-to-string-flat-term (car c)))) | |
1258 | ||
1259 | ((eq (car c) 'set) | |
1260 | (if (nth 1 c) | |
1261 | (progn | |
fdcf8e2b JB |
1262 | (setq math-comp-level (1+ math-comp-level)) |
1263 | (if (>= math-comp-level (length math-comp-buf-string)) | |
136211a9 EZ |
1264 | (setq math-comp-buf-string (vconcat math-comp-buf-string |
1265 | math-comp-buf-string) | |
1266 | math-comp-buf-margin (vconcat math-comp-buf-margin | |
1267 | math-comp-buf-margin) | |
1268 | math-comp-buf-level (vconcat math-comp-buf-level | |
1269 | math-comp-buf-level))) | |
fdcf8e2b JB |
1270 | (aset math-comp-buf-string math-comp-level "") |
1271 | (aset math-comp-buf-margin math-comp-level (+ math-comp-pos | |
136211a9 | 1272 | (or (nth 2 c) 0))) |
fdcf8e2b | 1273 | (aset math-comp-buf-level math-comp-level (nth 1 c))))) |
136211a9 EZ |
1274 | |
1275 | ((eq (car c) 'break) | |
1276 | (if (not calc-line-breaking) | |
fdcf8e2b JB |
1277 | (setq math-comp-buf (concat math-comp-buf math-comp-word) |
1278 | math-comp-word "") | |
136211a9 | 1279 | (let ((i 0) str) |
fdcf8e2b | 1280 | (if (and (> math-comp-pos math-comp-full-width) |
136211a9 EZ |
1281 | (progn |
1282 | (while (progn | |
1283 | (setq str (aref math-comp-buf-string i)) | |
fdcf8e2b | 1284 | (and (= (length str) 0) (< i math-comp-level))) |
136211a9 | 1285 | (setq i (1+ i))) |
fdcf8e2b | 1286 | (or (> (length str) 0) (> (length math-comp-buf) 0)))) |
136211a9 EZ |
1287 | (let ((prefix "") mrg wid) |
1288 | (setq mrg (aref math-comp-buf-margin i)) | |
1289 | (if (> mrg 12) ; indenting too far, go back to far left | |
6e087a44 | 1290 | (setq mrg (if calc-line-numbering 5 1))) |
fdcf8e2b | 1291 | (setq wid (+ (length str) math-comp-margin)) |
136211a9 | 1292 | (and (> (length str) 0) (= (aref str 0) ? ) |
fdcf8e2b JB |
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)) ? )) | |
136211a9 | 1299 | (progn |
fdcf8e2b | 1300 | (aset math-comp-buf (1+ k) ?\n) |
136211a9 EZ |
1301 | (setq prefix " ")) |
1302 | (setq prefix "\n")))) | |
fdcf8e2b | 1303 | (setq math-comp-buf (concat math-comp-buf prefix str "\n" |
136211a9 | 1304 | (make-string mrg ? )) |
fdcf8e2b JB |
1305 | math-comp-pos (+ math-comp-pos (- mrg wid)) |
1306 | math-comp-margin mrg) | |
136211a9 | 1307 | (aset math-comp-buf-string i "") |
fdcf8e2b | 1308 | (while (<= (setq i (1+ i)) math-comp-level) |
136211a9 EZ |
1309 | (if (> (aref math-comp-buf-margin i) wid) |
1310 | (aset math-comp-buf-margin i | |
1311 | (+ (aref math-comp-buf-margin i) | |
1312 | (- mrg wid)))))))) | |
fdcf8e2b JB |
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))) | |
136211a9 | 1315 | () ; avoid stupid breaks, e.g., "1 +\n really_long_expr" |
fdcf8e2b | 1316 | (let ((str (aref math-comp-buf-string math-comp-level))) |
136211a9 | 1317 | (setq str (if (= (length str) 0) |
fdcf8e2b JB |
1318 | math-comp-word |
1319 | (concat str math-comp-word)) | |
1320 | 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) | |
136211a9 | 1325 | str)))) |
fdcf8e2b | 1326 | (aset math-comp-buf-string math-comp-level str))))) |
136211a9 EZ |
1327 | |
1328 | ((eq (car c) 'tag) | |
1329 | (cond ((eq (nth 1 c) math-comp-selected) | |
fdcf8e2b | 1330 | (let ((math-comp-highlight (not calc-show-selections))) |
136211a9 EZ |
1331 | (math-comp-to-string-flat-term (nth 2 c)))) |
1332 | ((eq (nth 1 c) t) | |
fdcf8e2b | 1333 | (let ((math-comp-highlight nil)) |
136211a9 EZ |
1334 | (math-comp-to-string-flat-term (nth 2 c)))) |
1335 | (t (math-comp-to-string-flat-term (nth 2 c))))) | |
1336 | ||
bf77c646 | 1337 | (t (math-comp-to-string-flat-term (nth 2 c))))) |
136211a9 EZ |
1338 | |
1339 | (defun math-comp-highlight-string (s) | |
1340 | (setq s (copy-sequence s)) | |
2c695727 JB |
1341 | (if calc-highlight-selections-with-faces |
1342 | (if (not calc-show-selections) | |
1343 | (propertize s 'face 'calc-selected-face) | |
1344 | (propertize s 'face 'calc-nonselected-face)) | |
1345 | (let ((i (length s))) | |
1346 | (while (>= (setq i (1- i)) 0) | |
1347 | (or (memq (aref s i) '(32 ?\n)) | |
1348 | (aset s i (if calc-show-selections ?\. ?\#))))) | |
1349 | s)) | |
fdcf8e2b JB |
1350 | |
1351 | ;; The variable math-comp-sel-tag is local to calc-find-selected-part | |
be19ef0b GM |
1352 | ;; in calc-sel.el, but is used by math-comp-sel-flat-term and |
1353 | ;; math-comp-add-string-sel, which are called (indirectly) by | |
fdcf8e2b JB |
1354 | ;; calc-find-selected-part. |
1355 | (defvar math-comp-sel-tag) | |
1356 | ||
136211a9 EZ |
1357 | (defun math-comp-sel-flat-term (c) |
1358 | (cond ((not (consp c)) | |
fdcf8e2b | 1359 | (setq math-comp-pos (+ math-comp-pos (length c)))) |
136211a9 EZ |
1360 | ((memq (car c) '(set break))) |
1361 | ((eq (car c) 'horiz) | |
1362 | (while (and (setq c (cdr c)) (< math-comp-sel-cpos 1000000)) | |
1363 | (math-comp-sel-flat-term (car c)))) | |
1364 | ((eq (car c) 'tag) | |
fdcf8e2b | 1365 | (if (<= math-comp-pos math-comp-sel-cpos) |
136211a9 EZ |
1366 | (progn |
1367 | (math-comp-sel-flat-term (nth 2 c)) | |
fdcf8e2b | 1368 | (if (> math-comp-pos math-comp-sel-cpos) |
136211a9 EZ |
1369 | (setq math-comp-sel-tag c |
1370 | math-comp-sel-cpos 1000000))) | |
1371 | (math-comp-sel-flat-term (nth 2 c)))) | |
bf77c646 | 1372 | (t (math-comp-sel-flat-term (nth 2 c))))) |
136211a9 EZ |
1373 | |
1374 | ||
1375 | ;;; Simplify a composition to a canonical form consisting of | |
1376 | ;;; (vleft n "string" "string" "string" ...) | |
1377 | ;;; where 0 <= n < number-of-strings. | |
1378 | ||
fdcf8e2b JB |
1379 | ;; The variables math-comp-base, math-comp-hgt, math-comp-tag, |
1380 | ;; math-comp-hpos and math-comp-vpos are local to math-comp-simplify, | |
1381 | ;; but are used by math-comp-add-string (math-comp-base, math-comp-hgt), | |
1382 | ;; math-comp-add-string-sel (math-comp-tag) and math-comp-simplify-term | |
1383 | ;; (math-comp-tag, math-comp-vpos, math-comp-hpos), which are called by | |
1384 | ;; math-comp-simplify. | |
1385 | (defvar math-comp-base) | |
1386 | (defvar math-comp-hgt) | |
1387 | (defvar math-comp-tag) | |
1388 | (defvar math-comp-hpos) | |
1389 | (defvar math-comp-vpos) | |
1390 | ||
136211a9 | 1391 | (defun math-comp-simplify (c full-width) |
fdcf8e2b JB |
1392 | (let ((math-comp-buf (list "")) |
1393 | (math-comp-base 0) | |
1394 | (math-comp-hgt 1) | |
1395 | (math-comp-hpos 0) | |
1396 | (math-comp-vpos 0) | |
1397 | (math-comp-highlight (and math-comp-selected calc-show-selections)) | |
1398 | (math-comp-tag nil)) | |
136211a9 | 1399 | (math-comp-simplify-term c) |
fdcf8e2b | 1400 | (cons 'vleft (cons math-comp-base math-comp-buf)))) |
136211a9 EZ |
1401 | |
1402 | (defun math-comp-add-string (s h v) | |
1403 | (and (> (length s) 0) | |
fdcf8e2b | 1404 | (let ((vv (+ v math-comp-base))) |
136211a9 EZ |
1405 | (if math-comp-sel-hpos |
1406 | (math-comp-add-string-sel h vv (length s) 1) | |
1407 | (if (< vv 0) | |
fdcf8e2b JB |
1408 | (setq math-comp-buf (nconc (make-list (- vv) "") math-comp-buf) |
1409 | math-comp-base (- v) | |
1410 | math-comp-hgt (- math-comp-hgt vv) | |
136211a9 | 1411 | vv 0) |
fdcf8e2b JB |
1412 | (if (>= vv math-comp-hgt) |
1413 | (setq math-comp-buf (nconc math-comp-buf | |
1414 | (make-list (1+ (- vv math-comp-hgt)) "")) | |
1415 | math-comp-hgt (1+ vv)))) | |
1416 | (let ((str (nthcdr vv math-comp-buf))) | |
136211a9 EZ |
1417 | (setcar str (concat (car str) |
1418 | (make-string (- h (length (car str))) 32) | |
fdcf8e2b | 1419 | (if math-comp-highlight |
136211a9 | 1420 | (math-comp-highlight-string s) |
bf77c646 | 1421 | s)))))))) |
136211a9 EZ |
1422 | |
1423 | (defun math-comp-add-string-sel (x y w h) | |
1424 | (if (and (<= y math-comp-sel-vpos) | |
1425 | (> (+ y h) math-comp-sel-vpos) | |
1426 | (<= x math-comp-sel-hpos) | |
1427 | (> (+ x w) math-comp-sel-hpos)) | |
fdcf8e2b | 1428 | (setq math-comp-sel-tag math-comp-tag |
bf77c646 | 1429 | math-comp-sel-vpos 10000))) |
136211a9 EZ |
1430 | |
1431 | (defun math-comp-simplify-term (c) | |
1432 | (cond ((stringp c) | |
fdcf8e2b JB |
1433 | (math-comp-add-string c math-comp-hpos math-comp-vpos) |
1434 | (setq math-comp-hpos (+ math-comp-hpos (length c)))) | |
136211a9 EZ |
1435 | ((memq (car c) '(set break)) |
1436 | nil) | |
1437 | ((eq (car c) 'horiz) | |
1438 | (while (setq c (cdr c)) | |
1439 | (math-comp-simplify-term (car c)))) | |
1440 | ((memq (car c) '(vleft vcent vright)) | |
fdcf8e2b | 1441 | (let* ((math-comp-vpos (+ (- math-comp-vpos (nth 1 c)) |
136211a9 EZ |
1442 | (1- (math-comp-ascent (nth 2 c))))) |
1443 | (widths (mapcar 'math-comp-width (cdr (cdr c)))) | |
1444 | (maxwid (apply 'max widths)) | |
1445 | (bias (cond ((eq (car c) 'vleft) 0) | |
1446 | ((eq (car c) 'vcent) 1) | |
1447 | (t 2)))) | |
1448 | (setq c (cdr c)) | |
1449 | (while (setq c (cdr c)) | |
1450 | (if (eq (car-safe (car c)) 'rule) | |
1451 | (math-comp-add-string (make-string maxwid (nth 1 (car c))) | |
fdcf8e2b JB |
1452 | math-comp-hpos math-comp-vpos) |
1453 | (let ((math-comp-hpos (+ math-comp-hpos (/ (* bias (- maxwid | |
136211a9 EZ |
1454 | (car widths))) |
1455 | 2)))) | |
1456 | (math-comp-simplify-term (car c)))) | |
1457 | (and (cdr c) | |
fdcf8e2b | 1458 | (setq math-comp-vpos (+ math-comp-vpos |
136211a9 EZ |
1459 | (+ (math-comp-descent (car c)) |
1460 | (math-comp-ascent (nth 1 c)))) | |
1461 | widths (cdr widths)))) | |
fdcf8e2b | 1462 | (setq math-comp-hpos (+ math-comp-hpos maxwid)))) |
136211a9 EZ |
1463 | ((eq (car c) 'supscr) |
1464 | (let* ((asc (or 1 (math-comp-ascent (nth 1 c)))) | |
1465 | (desc (math-comp-descent (nth 2 c))) | |
1466 | (oldh (prog1 | |
fdcf8e2b | 1467 | math-comp-hpos |
136211a9 | 1468 | (math-comp-simplify-term (nth 1 c)))) |
fdcf8e2b | 1469 | (math-comp-vpos (- math-comp-vpos (+ asc desc)))) |
136211a9 EZ |
1470 | (math-comp-simplify-term (nth 2 c)) |
1471 | (if math-comp-sel-hpos | |
1472 | (math-comp-add-string-sel oldh | |
fdcf8e2b | 1473 | (- math-comp-vpos |
136211a9 EZ |
1474 | -1 |
1475 | (math-comp-ascent (nth 2 c))) | |
fdcf8e2b | 1476 | (- math-comp-hpos oldh) |
136211a9 EZ |
1477 | (math-comp-height c))))) |
1478 | ((eq (car c) 'subscr) | |
1479 | (let* ((asc (math-comp-ascent (nth 2 c))) | |
1480 | (desc (math-comp-descent (nth 1 c))) | |
fdcf8e2b | 1481 | (oldv math-comp-vpos) |
136211a9 | 1482 | (oldh (prog1 |
fdcf8e2b | 1483 | math-comp-hpos |
136211a9 | 1484 | (math-comp-simplify-term (nth 1 c)))) |
fdcf8e2b | 1485 | (math-comp-vpos (+ math-comp-vpos (+ asc desc)))) |
136211a9 EZ |
1486 | (math-comp-simplify-term (nth 2 c)) |
1487 | (if math-comp-sel-hpos | |
1488 | (math-comp-add-string-sel oldh oldv | |
fdcf8e2b | 1489 | (- math-comp-hpos oldh) |
136211a9 EZ |
1490 | (math-comp-height c))))) |
1491 | ((eq (car c) 'tag) | |
1492 | (cond ((eq (nth 1 c) math-comp-selected) | |
fdcf8e2b | 1493 | (let ((math-comp-highlight (not calc-show-selections))) |
136211a9 EZ |
1494 | (math-comp-simplify-term (nth 2 c)))) |
1495 | ((eq (nth 1 c) t) | |
fdcf8e2b | 1496 | (let ((math-comp-highlight nil)) |
136211a9 | 1497 | (math-comp-simplify-term (nth 2 c)))) |
fdcf8e2b | 1498 | (t (let ((math-comp-tag c)) |
bf77c646 | 1499 | (math-comp-simplify-term (nth 2 c)))))))) |
136211a9 EZ |
1500 | |
1501 | ||
1502 | ;;; Measuring a composition. | |
1503 | ||
1504 | (defun math-comp-first-char (c) | |
1505 | (cond ((stringp c) | |
1506 | (and (> (length c) 0) | |
1507 | (elt c 0))) | |
1508 | ((memq (car c) '(horiz subscr supscr)) | |
1509 | (while (and (setq c (cdr c)) | |
1510 | (math-comp-is-null (car c)))) | |
1511 | (and c (math-comp-first-char (car c)))) | |
1512 | ((eq (car c) 'tag) | |
bf77c646 | 1513 | (math-comp-first-char (nth 2 c))))) |
136211a9 EZ |
1514 | |
1515 | (defun math-comp-first-string (c) | |
1516 | (cond ((stringp c) | |
1517 | (and (> (length c) 0) | |
1518 | c)) | |
1519 | ((eq (car c) 'horiz) | |
1520 | (while (and (setq c (cdr c)) | |
1521 | (math-comp-is-null (car c)))) | |
1522 | (and c (math-comp-first-string (car c)))) | |
1523 | ((eq (car c) 'tag) | |
bf77c646 | 1524 | (math-comp-first-string (nth 2 c))))) |
136211a9 EZ |
1525 | |
1526 | (defun math-comp-last-char (c) | |
1527 | (cond ((stringp c) | |
1528 | (and (> (length c) 0) | |
1529 | (elt c (1- (length c))))) | |
1530 | ((eq (car c) 'horiz) | |
1531 | (let ((c (reverse (cdr c)))) | |
1532 | (while (and c (math-comp-is-null (car c))) | |
1533 | (setq c (cdr c))) | |
1534 | (and c (math-comp-last-char (car c))))) | |
1535 | ((eq (car c) 'tag) | |
bf77c646 | 1536 | (math-comp-last-char (nth 2 c))))) |
136211a9 EZ |
1537 | |
1538 | (defun math-comp-is-null (c) | |
1539 | (cond ((stringp c) (= (length c) 0)) | |
1540 | ((memq (car c) '(horiz subscr supscr)) | |
1541 | (while (and (setq c (cdr c)) | |
1542 | (math-comp-is-null (car c)))) | |
1543 | (null c)) | |
1544 | ((eq (car c) 'tag) | |
1545 | (math-comp-is-null (nth 2 c))) | |
bf77c646 | 1546 | ((memq (car c) '(set break)) t))) |
136211a9 EZ |
1547 | |
1548 | (defun math-comp-width (c) | |
1549 | (cond ((not (consp c)) (length c)) | |
1550 | ((memq (car c) '(horiz subscr supscr)) | |
1551 | (let ((accum 0)) | |
1552 | (while (setq c (cdr c)) | |
1553 | (setq accum (+ accum (math-comp-width (car c))))) | |
1554 | accum)) | |
1555 | ((memq (car c) '(vcent vleft vright)) | |
1556 | (setq c (cdr c)) | |
1557 | (let ((accum 0)) | |
1558 | (while (setq c (cdr c)) | |
1559 | (setq accum (max accum (math-comp-width (car c))))) | |
1560 | accum)) | |
1561 | ((eq (car c) 'tag) | |
1562 | (math-comp-width (nth 2 c))) | |
bf77c646 | 1563 | (t 0))) |
136211a9 EZ |
1564 | |
1565 | (defun math-comp-height (c) | |
1566 | (if (stringp c) | |
1567 | 1 | |
bf77c646 | 1568 | (+ (math-comp-ascent c) (math-comp-descent c)))) |
136211a9 EZ |
1569 | |
1570 | (defun math-comp-ascent (c) | |
1571 | (cond ((not (consp c)) 1) | |
1572 | ((eq (car c) 'horiz) | |
1573 | (let ((accum 0)) | |
1574 | (while (setq c (cdr c)) | |
1575 | (setq accum (max accum (math-comp-ascent (car c))))) | |
1576 | accum)) | |
1577 | ((memq (car c) '(vcent vleft vright)) | |
1578 | (if (> (nth 1 c) 0) (1+ (nth 1 c)) 1)) | |
1579 | ((eq (car c) 'supscr) | |
1580 | (max (math-comp-ascent (nth 1 c)) (1+ (math-comp-height (nth 2 c))))) | |
1581 | ((eq (car c) 'subscr) | |
1582 | (math-comp-ascent (nth 1 c))) | |
1583 | ((eq (car c) 'tag) | |
1584 | (math-comp-ascent (nth 2 c))) | |
bf77c646 | 1585 | (t 1))) |
136211a9 EZ |
1586 | |
1587 | (defun math-comp-descent (c) | |
1588 | (cond ((not (consp c)) 0) | |
1589 | ((eq (car c) 'horiz) | |
1590 | (let ((accum 0)) | |
1591 | (while (setq c (cdr c)) | |
1592 | (setq accum (max accum (math-comp-descent (car c))))) | |
1593 | accum)) | |
1594 | ((memq (car c) '(vcent vleft vright)) | |
1595 | (let ((accum (- (nth 1 c)))) | |
1596 | (setq c (cdr c)) | |
1597 | (while (setq c (cdr c)) | |
1598 | (setq accum (+ accum (math-comp-height (car c))))) | |
1599 | (max (1- accum) 0))) | |
1600 | ((eq (car c) 'supscr) | |
1601 | (math-comp-descent (nth 1 c))) | |
1602 | ((eq (car c) 'subscr) | |
1603 | (+ (math-comp-descent (nth 1 c)) (math-comp-height (nth 2 c)))) | |
1604 | ((eq (car c) 'tag) | |
1605 | (math-comp-descent (nth 2 c))) | |
bf77c646 | 1606 | (t 0))) |
136211a9 EZ |
1607 | |
1608 | (defun calcFunc-cwidth (a &optional prec) | |
1609 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
bf77c646 | 1610 | (math-comp-width (math-compose-expr a (or prec 0)))) |
136211a9 EZ |
1611 | |
1612 | (defun calcFunc-cheight (a &optional prec) | |
1613 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
1614 | (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
1615 | (memq (length a) '(2 3)) | |
1616 | (eq (nth 1 a) 0)) | |
1617 | 0 | |
bf77c646 | 1618 | (math-comp-height (math-compose-expr a (or prec 0))))) |
136211a9 EZ |
1619 | |
1620 | (defun calcFunc-cascent (a &optional prec) | |
1621 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
1622 | (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
1623 | (memq (length a) '(2 3)) | |
1624 | (eq (nth 1 a) 0)) | |
1625 | 0 | |
bf77c646 | 1626 | (math-comp-ascent (math-compose-expr a (or prec 0))))) |
136211a9 EZ |
1627 | |
1628 | (defun calcFunc-cdescent (a &optional prec) | |
1629 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
bf77c646 | 1630 | (math-comp-descent (math-compose-expr a (or prec 0)))) |
136211a9 EZ |
1631 | |
1632 | ||
1633 | ;;; Convert a simplified composition into string form. | |
1634 | ||
1635 | (defun math-vert-comp-to-string (c) | |
1636 | (if (stringp c) | |
1637 | c | |
bf77c646 | 1638 | (math-vert-comp-to-string-step (cdr (cdr c))))) |
136211a9 EZ |
1639 | |
1640 | (defun math-vert-comp-to-string-step (c) | |
1641 | (if (cdr c) | |
1642 | (concat (car c) "\n" (math-vert-comp-to-string-step (cdr c))) | |
bf77c646 | 1643 | (car c))) |
136211a9 EZ |
1644 | |
1645 | ||
1646 | ;;; Convert a composition to a string in "raw" form (for debugging). | |
1647 | ||
1648 | (defun math-comp-to-string-raw (c indent) | |
1649 | (cond ((or (not (consp c)) (eq (car c) 'set)) | |
1650 | (prin1-to-string c)) | |
1651 | ((null (cdr c)) | |
1652 | (concat "(" (symbol-name (car c)) ")")) | |
1653 | (t | |
1654 | (let ((next-indent (+ indent 2 (length (symbol-name (car c)))))) | |
1655 | (concat "(" | |
1656 | (symbol-name (car c)) | |
1657 | " " | |
1658 | (math-comp-to-string-raw (nth 1 c) next-indent) | |
1659 | (math-comp-to-string-raw-step (cdr (cdr c)) | |
1660 | next-indent) | |
bf77c646 | 1661 | ")"))))) |
136211a9 EZ |
1662 | |
1663 | (defun math-comp-to-string-raw-step (cl indent) | |
1664 | (if cl | |
1665 | (concat "\n" | |
1666 | (make-string indent 32) | |
1667 | (math-comp-to-string-raw (car cl) indent) | |
1668 | (math-comp-to-string-raw-step (cdr cl) indent)) | |
bf77c646 | 1669 | "")) |
136211a9 | 1670 | |
cfd31ee4 JB |
1671 | (provide 'calccomp) |
1672 | ||
be19ef0b GM |
1673 | ;; Local variables: |
1674 | ;; coding: utf-8 | |
1675 | ;; End: | |
1676 | ||
bf77c646 | 1677 | ;;; calccomp.el ends here |