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3132f345 CW |
1 | ;;; calccomp.el --- composition functions for Calc |
2 | ||
58ba2f8f | 3 | ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004, |
f0fa15c5 | 4 | ;; 2005, 2006, 2007 Free Software Foundation, Inc. |
3132f345 CW |
5 | |
6 | ;; Author: David Gillespie <daveg@synaptics.com> | |
e8fff8ed | 7 | ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com> |
136211a9 EZ |
8 | |
9 | ;; This file is part of GNU Emacs. | |
10 | ||
7c671b23 GM |
11 | ;; GNU Emacs is free software; you can redistribute it and/or modify |
12 | ;; it under the terms of the GNU General Public License as published by | |
075969b4 | 13 | ;; the Free Software Foundation; either version 3, or (at your option) |
7c671b23 GM |
14 | ;; any later version. |
15 | ||
136211a9 | 16 | ;; GNU Emacs is distributed in the hope that it will be useful, |
7c671b23 GM |
17 | ;; but WITHOUT ANY WARRANTY; without even the implied warranty of |
18 | ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
19 | ;; GNU General Public License for more details. | |
20 | ||
21 | ;; You should have received a copy of the GNU General Public License | |
22 | ;; along with GNU Emacs; see the file COPYING. If not, write to the | |
23 | ;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, | |
24 | ;; Boston, MA 02110-1301, USA. | |
136211a9 | 25 | |
3132f345 | 26 | ;;; Commentary: |
136211a9 | 27 | |
3132f345 | 28 | ;;; Code: |
136211a9 EZ |
29 | |
30 | ;; This file is autoloaded from calc-ext.el. | |
136211a9 | 31 | |
cfd31ee4 | 32 | (require 'calc-ext) |
136211a9 EZ |
33 | (require 'calc-macs) |
34 | ||
136211a9 EZ |
35 | ;;; A "composition" has one of the following forms: |
36 | ;;; | |
37 | ;;; "string" A literal string | |
38 | ;;; | |
39 | ;;; (horiz C1 C2 ...) Horizontally abutted sub-compositions | |
40 | ;;; | |
41 | ;;; (set LEVEL OFF) Set left margin + offset for line-break level | |
42 | ;;; (break LEVEL) A potential line-break point | |
43 | ;;; | |
44 | ;;; (vleft N C1 C2 ...) Vertically stacked, left-justified sub-comps | |
45 | ;;; (vcent N C1 C2 ...) Vertically stacked, centered sub-comps | |
46 | ;;; (vright N C1 C2 ...) Vertically stacked, right-justified sub-comps | |
47 | ;;; N specifies baseline of the stack, 0=top line. | |
48 | ;;; | |
49 | ;;; (supscr C1 C2) Composition C1 with superscript C2 | |
50 | ;;; (subscr C1 C2) Composition C1 with subscript C2 | |
51 | ;;; (rule X) Horizontal line of X, full width of enclosing comp | |
52 | ;;; | |
53 | ;;; (tag X C) Composition C corresponds to sub-expression X | |
54 | ||
fdcf8e2b JB |
55 | ;; math-comp-just and math-comp-comma-spc are local to |
56 | ;; math-compose-expr, but are used by math-compose-matrix, which is | |
57 | ;; called by math-compose-expr | |
58 | (defvar math-comp-just) | |
59 | (defvar math-comp-comma-spc) | |
60 | ||
61 | ;; math-comp-vector-prec is local to math-compose-expr, but is used by | |
62 | ;; math-compose-matrix and math-compose-rows, which are called by | |
63 | ;; math-compose-expr. | |
64 | (defvar math-comp-vector-prec) | |
65 | ||
66 | ;; math-comp-left-bracket, math-comp-right-bracket and math-comp-comma are | |
67 | ;; local to math-compose-expr, but are used by math-compose-rows, which is | |
68 | ;; called by math-compose-expr. | |
69 | (defvar math-comp-left-bracket) | |
70 | (defvar math-comp-right-bracket) | |
71 | (defvar math-comp-comma) | |
72 | ||
018f0ad2 JB |
73 | (defun math-compose-var (a v) |
74 | (if (and math-compose-hash-args | |
75 | (let ((p calc-arg-values)) | |
76 | (setq v 1) | |
77 | (while (and p (not (equal (car p) a))) | |
78 | (setq p (and (eq math-compose-hash-args t) (cdr p)) | |
79 | v (1+ v))) | |
80 | p)) | |
81 | (if (eq math-compose-hash-args 1) | |
82 | "#" | |
83 | (format "#%d" v)) | |
84 | (if (memq calc-language calc-lang-allow-underscores) | |
85 | (math-to-underscores (symbol-name (nth 1 a))) | |
86 | (symbol-name (nth 1 a))))) | |
fdcf8e2b | 87 | |
136211a9 | 88 | (defun math-compose-expr (a prec) |
ddaad609 | 89 | (let ((math-compose-level (1+ math-compose-level)) |
b20c4725 | 90 | (math-expr-opers (math-expr-ops)) |
ddaad609 | 91 | spfn) |
136211a9 EZ |
92 | (cond |
93 | ((or (and (eq a math-comp-selected) a) | |
94 | (and math-comp-tagged | |
95 | (not (eq math-comp-tagged a)))) | |
96 | (let ((math-comp-selected nil)) | |
97 | (and math-comp-tagged (setq math-comp-tagged a)) | |
98 | (list 'tag a (math-compose-expr a prec)))) | |
99 | ((and (not (consp a)) (not (integerp a))) | |
100 | (concat "'" (prin1-to-string a))) | |
018f0ad2 JB |
101 | ((setq spfn (assq (car-safe a) |
102 | (get calc-language 'math-special-function-table))) | |
ddaad609 | 103 | (setq spfn (cdr spfn)) |
018f0ad2 JB |
104 | (if (consp spfn) |
105 | (funcall (car spfn) a spfn) | |
106 | (funcall spfn a))) | |
136211a9 EZ |
107 | ((math-scalarp a) |
108 | (if (or (eq (car-safe a) 'frac) | |
109 | (and (nth 1 calc-frac-format) (Math-integerp a))) | |
018f0ad2 JB |
110 | (if (and |
111 | calc-language | |
112 | (not (memq calc-language | |
113 | '(flat big unform)))) | |
136211a9 EZ |
114 | (let ((aa (math-adjust-fraction a)) |
115 | (calc-frac-format nil)) | |
116 | (math-compose-expr (list '/ | |
018f0ad2 JB |
117 | (if (memq calc-language |
118 | calc-lang-slash-idiv) | |
136211a9 EZ |
119 | (math-float (nth 1 aa)) |
120 | (nth 1 aa)) | |
121 | (nth 2 aa)) prec)) | |
122 | (if (and (eq calc-language 'big) | |
123 | (= (length (car calc-frac-format)) 1)) | |
124 | (let* ((aa (math-adjust-fraction a)) | |
125 | (calc-frac-format nil) | |
126 | (math-radix-explicit-format nil) | |
127 | (c (list 'horiz | |
128 | (if (math-negp (nth 1 aa)) | |
129 | "- " "") | |
130 | (list 'vcent 1 | |
131 | (math-format-number | |
132 | (math-abs (nth 1 aa))) | |
133 | '(rule ?-) | |
134 | (math-format-number (nth 2 aa)))))) | |
135 | (if (= calc-number-radix 10) | |
136 | c | |
137 | (list 'horiz "(" c | |
138 | (list 'subscr ")" | |
139 | (int-to-string calc-number-radix))))) | |
140 | (math-format-number a))) | |
141 | (if (not (eq calc-language 'big)) | |
142 | (math-format-number a prec) | |
143 | (if (memq (car-safe a) '(cplx polar)) | |
144 | (if (math-zerop (nth 2 a)) | |
145 | (math-compose-expr (nth 1 a) prec) | |
146 | (list 'horiz "(" | |
147 | (math-compose-expr (nth 1 a) 0) | |
148 | (if (eq (car a) 'cplx) ", " "; ") | |
149 | (math-compose-expr (nth 2 a) 0) ")")) | |
150 | (if (or (= calc-number-radix 10) | |
151 | (not (Math-realp a)) | |
152 | (and calc-group-digits | |
153 | (not (assoc calc-group-char '((",") (" ")))))) | |
154 | (math-format-number a prec) | |
155 | (let ((s (math-format-number a prec)) | |
156 | (c nil)) | |
157 | (while (string-match (if (> calc-number-radix 14) | |
158 | "\\([0-9]+\\)#\\([0-9a-zA-Z., ]+\\)" | |
159 | "\\([0-9]+\\)#\\([0-9a-dA-D., ]+\\)") | |
160 | s) | |
161 | (setq c (nconc c (list (substring s 0 (match-beginning 0)) | |
162 | (list 'subscr | |
163 | (math-match-substring s 2) | |
164 | (math-match-substring s 1)))) | |
165 | s (substring s (match-end 0)))) | |
166 | (if (string-match | |
167 | "\\*\\([0-9.]+\\)\\^\\(-?[0-9]+\\)\\()?\\)\\'" s) | |
168 | (setq s (list 'horiz | |
169 | (substring s 0 (match-beginning 0)) " " | |
170 | (list 'supscr | |
171 | (math-match-substring s 1) | |
172 | (math-match-substring s 2)) | |
173 | (math-match-substring s 3)))) | |
174 | (if c (cons 'horiz (nconc c (list s))) s))))))) | |
175 | ((and (get (car a) 'math-compose-forms) | |
176 | (not (eq calc-language 'unform)) | |
177 | (let ((comps (get (car a) 'math-compose-forms)) | |
178 | temp temp2) | |
179 | (or (and (setq temp (assq calc-language comps)) | |
180 | (or (and (setq temp2 (assq (1- (length a)) (cdr temp))) | |
181 | (setq temp (apply (cdr temp2) (cdr a))) | |
182 | (math-compose-expr temp prec)) | |
183 | (and (setq temp2 (assq nil (cdr temp))) | |
184 | (funcall (cdr temp2) a)))) | |
185 | (and (setq temp (assq nil comps)) | |
186 | (or (and (setq temp2 (assq (1- (length a)) (cdr temp))) | |
187 | (setq temp (apply (cdr temp2) (cdr a))) | |
188 | (math-compose-expr temp prec)) | |
189 | (and (setq temp2 (assq nil (cdr temp))) | |
190 | (funcall (cdr temp2) a)))))))) | |
191 | ((eq (car a) 'vec) | |
fdcf8e2b | 192 | (let* ((math-comp-left-bracket (if calc-vector-brackets |
136211a9 | 193 | (substring calc-vector-brackets 0 1) "")) |
fdcf8e2b | 194 | (math-comp-right-bracket (if calc-vector-brackets |
136211a9 EZ |
195 | (substring calc-vector-brackets 1 2) "")) |
196 | (inner-brackets (memq 'R calc-matrix-brackets)) | |
197 | (outer-brackets (memq 'O calc-matrix-brackets)) | |
198 | (row-commas (memq 'C calc-matrix-brackets)) | |
fdcf8e2b JB |
199 | (math-comp-comma-spc (or calc-vector-commas " ")) |
200 | (math-comp-comma (or calc-vector-commas "")) | |
201 | (math-comp-vector-prec (if (or (and calc-vector-commas | |
136211a9 EZ |
202 | (math-vector-no-parens a)) |
203 | (memq 'P calc-matrix-brackets)) 0 1000)) | |
fdcf8e2b JB |
204 | (math-comp-just (cond ((eq calc-matrix-just 'right) 'vright) |
205 | ((eq calc-matrix-just 'center) 'vcent) | |
206 | (t 'vleft))) | |
136211a9 EZ |
207 | (break calc-break-vectors)) |
208 | (if (and (memq calc-language '(nil big)) | |
209 | (not calc-break-vectors) | |
210 | (math-matrixp a) (not (math-matrixp (nth 1 a))) | |
211 | (or calc-full-vectors | |
212 | (and (< (length a) 7) (< (length (nth 1 a)) 7)) | |
213 | (progn (setq break t) nil))) | |
214 | (if (progn | |
fdcf8e2b JB |
215 | (setq math-comp-vector-prec (if (or (and calc-vector-commas |
216 | (math-vector-no-parens | |
217 | (nth 1 a))) | |
218 | (memq 'P calc-matrix-brackets)) | |
219 | 0 1000)) | |
136211a9 EZ |
220 | (= (length a) 2)) |
221 | (list 'horiz | |
fdcf8e2b JB |
222 | (concat math-comp-left-bracket math-comp-left-bracket " ") |
223 | (math-compose-vector (cdr (nth 1 a)) (concat math-comp-comma " ") | |
224 | math-comp-vector-prec) | |
225 | (concat " " math-comp-right-bracket math-comp-right-bracket)) | |
136211a9 EZ |
226 | (let* ((rows (1- (length a))) |
227 | (cols (1- (length (nth 1 a)))) | |
228 | (base (/ (1- rows) 2)) | |
229 | (calc-language 'flat)) | |
230 | (append '(horiz) | |
231 | (list (append '(vleft) | |
232 | (list base) | |
233 | (list (concat (and outer-brackets | |
fdcf8e2b | 234 | (concat math-comp-left-bracket |
136211a9 EZ |
235 | " ")) |
236 | (and inner-brackets | |
fdcf8e2b | 237 | (concat math-comp-left-bracket |
136211a9 EZ |
238 | " ")))) |
239 | (make-list (1- rows) | |
240 | (concat (and outer-brackets | |
241 | " ") | |
242 | (and inner-brackets | |
243 | (concat | |
fdcf8e2b | 244 | math-comp-left-bracket |
136211a9 EZ |
245 | " ")))))) |
246 | (math-compose-matrix (cdr a) 1 cols base) | |
247 | (list (append '(vleft) | |
248 | (list base) | |
249 | (make-list (1- rows) | |
250 | (if inner-brackets | |
251 | (concat " " | |
fdcf8e2b | 252 | math-comp-right-bracket |
136211a9 | 253 | (and row-commas |
fdcf8e2b | 254 | math-comp-comma)) |
136211a9 EZ |
255 | (if (and outer-brackets |
256 | row-commas) | |
257 | ";" ""))) | |
258 | (list (concat | |
259 | (and inner-brackets | |
260 | (concat " " | |
fdcf8e2b | 261 | math-comp-right-bracket)) |
136211a9 EZ |
262 | (and outer-brackets |
263 | (concat | |
264 | " " | |
fdcf8e2b | 265 | math-comp-right-bracket))))))))) |
136211a9 EZ |
266 | (if (and calc-display-strings |
267 | (cdr a) | |
268 | (math-vector-is-string a)) | |
269 | (math-vector-to-string a t) | |
270 | (if (and break (cdr a) | |
271 | (not (eq calc-language 'flat))) | |
272 | (let* ((full (or calc-full-vectors (< (length a) 7))) | |
273 | (rows (if full (1- (length a)) 5)) | |
274 | (base (/ (1- rows) 2)) | |
136211a9 EZ |
275 | (calc-break-vectors nil)) |
276 | (list 'horiz | |
277 | (cons 'vleft (cons base | |
278 | (math-compose-rows | |
279 | (cdr a) | |
280 | (if full rows 3) t))))) | |
281 | (if (or calc-full-vectors (< (length a) 7)) | |
018f0ad2 JB |
282 | (if (and |
283 | (setq spfn (get calc-language 'math-matrix-formatter)) | |
284 | (math-matrixp a)) | |
285 | (funcall spfn a) | |
286 | (list 'horiz | |
287 | math-comp-left-bracket | |
288 | (math-compose-vector (cdr a) | |
289 | (concat math-comp-comma " ") | |
290 | math-comp-vector-prec) | |
291 | math-comp-right-bracket)) | |
136211a9 | 292 | (list 'horiz |
fdcf8e2b | 293 | math-comp-left-bracket |
136211a9 | 294 | (math-compose-vector (list (nth 1 a) (nth 2 a) (nth 3 a)) |
fdcf8e2b JB |
295 | (concat math-comp-comma " ") |
296 | math-comp-vector-prec) | |
018f0ad2 JB |
297 | math-comp-comma |
298 | (if (setq spfn (get calc-language 'math-dots)) | |
299 | (concat " " spfn) | |
300 | " ...") | |
fdcf8e2b | 301 | math-comp-comma " " |
136211a9 EZ |
302 | (list 'break math-compose-level) |
303 | (math-compose-expr (nth (1- (length a)) a) | |
fdcf8e2b JB |
304 | (if (equal math-comp-comma "") 1000 0)) |
305 | math-comp-right-bracket))))))) | |
136211a9 EZ |
306 | ((eq (car a) 'incomplete) |
307 | (if (cdr (cdr a)) | |
308 | (cond ((eq (nth 1 a) 'vec) | |
309 | (list 'horiz "[" | |
310 | (math-compose-vector (cdr (cdr a)) ", " 0) | |
311 | " ...")) | |
312 | ((eq (nth 1 a) 'cplx) | |
313 | (list 'horiz "(" | |
314 | (math-compose-vector (cdr (cdr a)) ", " 0) | |
315 | ", ...")) | |
316 | ((eq (nth 1 a) 'polar) | |
317 | (list 'horiz "(" | |
318 | (math-compose-vector (cdr (cdr a)) "; " 0) | |
319 | "; ...")) | |
320 | ((eq (nth 1 a) 'intv) | |
321 | (list 'horiz | |
322 | (if (memq (nth 2 a) '(0 1)) "(" "[") | |
323 | (math-compose-vector (cdr (cdr (cdr a))) " .. " 0) | |
324 | " .. ...")) | |
325 | (t (format "%s" a))) | |
326 | (cond ((eq (nth 1 a) 'vec) "[ ...") | |
327 | ((eq (nth 1 a) 'intv) | |
328 | (if (memq (nth 2 a) '(0 1)) "( ..." "[ ...")) | |
329 | (t "( ...")))) | |
330 | ((eq (car a) 'var) | |
331 | (let ((v (rassq (nth 2 a) math-expr-variable-mapping))) | |
332 | (if v | |
333 | (symbol-name (car v)) | |
018f0ad2 JB |
334 | (if (setq spfn (get calc-language 'math-var-formatter)) |
335 | (funcall spfn a v prec) | |
336 | (math-compose-var a v))))) | |
136211a9 EZ |
337 | ((eq (car a) 'intv) |
338 | (list 'horiz | |
018f0ad2 | 339 | (if (memq (nth 1 a) '(0 1)) "(" "[") |
136211a9 | 340 | (math-compose-expr (nth 2 a) 0) |
018f0ad2 | 341 | " .. " |
136211a9 | 342 | (math-compose-expr (nth 3 a) 0) |
018f0ad2 | 343 | (if (memq (nth 1 a) '(0 2)) ")" "]"))) |
136211a9 EZ |
344 | ((eq (car a) 'date) |
345 | (if (eq (car calc-date-format) 'X) | |
346 | (math-format-date a) | |
347 | (concat "<" (math-format-date a) ">"))) | |
018f0ad2 JB |
348 | ((and (eq (car a) 'calcFunc-subscr) |
349 | (setq spfn (get calc-language 'math-compose-subscr))) | |
350 | (funcall spfn a)) | |
136211a9 EZ |
351 | ((and (eq (car a) 'calcFunc-subscr) (= (length a) 3) |
352 | (eq calc-language 'big)) | |
353 | (let* ((a1 (math-compose-expr (nth 1 a) 1000)) | |
354 | (calc-language 'flat) | |
355 | (a2 (math-compose-expr (nth 2 a) 0))) | |
356 | (if (or (eq (car-safe a1) 'subscr) | |
357 | (and (eq (car-safe a1) 'tag) | |
358 | (eq (car-safe (nth 2 a1)) 'subscr) | |
359 | (setq a1 (nth 2 a1)))) | |
360 | (list 'subscr | |
361 | (nth 1 a1) | |
362 | (list 'horiz | |
363 | (nth 2 a1) | |
364 | ", " | |
365 | a2)) | |
366 | (list 'subscr a1 a2)))) | |
136211a9 EZ |
367 | ((and (eq (car a) '^) |
368 | (eq calc-language 'big)) | |
369 | (list 'supscr | |
370 | (if (or (math-looks-negp (nth 1 a)) | |
371 | (memq (car-safe (nth 1 a)) '(^ / frac calcFunc-sqrt)) | |
372 | (and (eq (car-safe (nth 1 a)) 'cplx) | |
373 | (math-negp (nth 1 (nth 1 a))) | |
374 | (eq (nth 2 (nth 1 a)) 0))) | |
375 | (list 'horiz "(" (math-compose-expr (nth 1 a) 0) ")") | |
376 | (math-compose-expr (nth 1 a) 201)) | |
377 | (let ((calc-language 'flat) | |
378 | (calc-number-radix 10)) | |
379 | (math-compose-expr (nth 2 a) 0)))) | |
380 | ((and (eq (car a) '/) | |
381 | (eq calc-language 'big)) | |
382 | (let ((a1 (let ((calc-language (if (memq (car-safe (nth 1 a)) '(/ frac)) | |
383 | 'flat 'big))) | |
384 | (math-compose-expr (nth 1 a) 0))) | |
385 | (a2 (let ((calc-language (if (memq (car-safe (nth 2 a)) '(/ frac)) | |
386 | 'flat 'big))) | |
387 | (math-compose-expr (nth 2 a) 0)))) | |
388 | (list 'vcent | |
389 | (math-comp-height a1) | |
390 | a1 '(rule ?-) a2))) | |
136211a9 EZ |
391 | ((and (eq (car a) 'calcFunc-lambda) |
392 | (> (length a) 2) | |
393 | (memq calc-language '(nil flat big))) | |
394 | (let ((p (cdr a)) | |
395 | (ap calc-arg-values) | |
396 | (math-compose-hash-args (if (= (length a) 3) 1 t))) | |
397 | (while (and (cdr p) (equal (car p) (car ap))) | |
398 | (setq p (cdr p) ap (cdr ap))) | |
399 | (append '(horiz "<") | |
400 | (if (cdr p) | |
401 | (list (math-compose-vector | |
402 | (nreverse (cdr (reverse (cdr a)))) ", " 0) | |
403 | " : ") | |
404 | nil) | |
405 | (list (math-compose-expr (nth (1- (length a)) a) 0) | |
406 | ">")))) | |
407 | ((and (eq (car a) 'calcFunc-string) | |
408 | (= (length a) 2) | |
409 | (math-vectorp (nth 1 a)) | |
410 | (math-vector-is-string (nth 1 a))) | |
411 | (if (eq calc-language 'unform) | |
412 | (concat "string(" (math-vector-to-string (nth 1 a) t) ")") | |
413 | (math-vector-to-string (nth 1 a) nil))) | |
414 | ((and (eq (car a) 'calcFunc-bstring) | |
415 | (= (length a) 2) | |
416 | (math-vectorp (nth 1 a)) | |
417 | (math-vector-is-string (nth 1 a))) | |
418 | (if (eq calc-language 'unform) | |
419 | (concat "bstring(" (math-vector-to-string (nth 1 a) t) ")") | |
420 | (let ((c nil) | |
421 | (s (math-vector-to-string (nth 1 a) nil)) | |
422 | p) | |
423 | (while (string-match "[^ ] +[^ ]" s) | |
424 | (setq p (1- (match-end 0)) | |
425 | c (cons (list 'break math-compose-level) | |
426 | (cons (substring s 0 p) | |
427 | c)) | |
428 | s (substring s p))) | |
429 | (setq c (nreverse (cons s c))) | |
430 | (or (= prec -123) | |
431 | (setq c (cons (list 'set math-compose-level 2) c))) | |
432 | (cons 'horiz c)))) | |
433 | ((and (eq (car a) 'calcFunc-cprec) | |
434 | (not (eq calc-language 'unform)) | |
435 | (= (length a) 3) | |
436 | (integerp (nth 2 a))) | |
437 | (let ((c (math-compose-expr (nth 1 a) -1))) | |
438 | (if (> prec (nth 2 a)) | |
018f0ad2 JB |
439 | (if (setq spfn (get calc-language 'math-big-parens)) |
440 | (list 'horiz (car spfn) c (cdr spfn)) | |
441 | (list 'horiz "(" c ")")) | |
136211a9 EZ |
442 | c))) |
443 | ((and (eq (car a) 'calcFunc-choriz) | |
444 | (not (eq calc-language 'unform)) | |
445 | (memq (length a) '(2 3 4)) | |
446 | (math-vectorp (nth 1 a)) | |
447 | (if (integerp (nth 2 a)) | |
448 | (or (null (nth 3 a)) | |
449 | (and (math-vectorp (nth 3 a)) | |
450 | (math-vector-is-string (nth 3 a)))) | |
451 | (or (null (nth 2 a)) | |
452 | (and (math-vectorp (nth 2 a)) | |
453 | (math-vector-is-string (nth 2 a)))))) | |
454 | (let* ((cprec (and (integerp (nth 2 a)) (nth 2 a))) | |
455 | (sep (nth (if cprec 3 2) a)) | |
456 | (bprec nil)) | |
457 | (if sep | |
458 | (math-compose-vector (cdr (nth 1 a)) | |
459 | (math-vector-to-string sep nil) | |
460 | (or cprec prec)) | |
461 | (cons 'horiz (mapcar (function | |
462 | (lambda (x) | |
463 | (if (eq (car-safe x) 'calcFunc-bstring) | |
464 | (prog1 | |
465 | (math-compose-expr | |
466 | x (or bprec cprec prec)) | |
467 | (setq bprec -123)) | |
468 | (math-compose-expr x (or cprec prec))))) | |
469 | (cdr (nth 1 a))))))) | |
470 | ((and (memq (car a) '(calcFunc-cvert calcFunc-clvert calcFunc-crvert)) | |
471 | (not (eq calc-language 'unform)) | |
472 | (memq (length a) '(2 3)) | |
473 | (math-vectorp (nth 1 a)) | |
474 | (or (null (nth 2 a)) | |
475 | (integerp (nth 2 a)))) | |
476 | (let* ((base 0) | |
477 | (v 0) | |
478 | (prec (or (nth 2 a) prec)) | |
479 | (c (mapcar (function | |
480 | (lambda (x) | |
481 | (let ((b nil) (cc nil) a d) | |
482 | (if (and (memq (car-safe x) '(calcFunc-cbase | |
483 | calcFunc-ctbase | |
484 | calcFunc-cbbase)) | |
485 | (memq (length x) '(1 2))) | |
486 | (setq b (car x) | |
487 | x (nth 1 x))) | |
488 | (if (and (eq (car-safe x) 'calcFunc-crule) | |
489 | (memq (length x) '(1 2)) | |
490 | (or (null (nth 1 x)) | |
491 | (and (math-vectorp (nth 1 x)) | |
492 | (= (length (nth 1 x)) 2) | |
493 | (math-vector-is-string | |
494 | (nth 1 x))) | |
495 | (and (natnump (nth 1 x)) | |
496 | (<= (nth 1 x) 255)))) | |
497 | (setq cc (list | |
498 | 'rule | |
499 | (if (math-vectorp (nth 1 x)) | |
500 | (aref (math-vector-to-string | |
501 | (nth 1 x) nil) 0) | |
502 | (or (nth 1 x) ?-)))) | |
503 | (or (and (memq (car-safe x) '(calcFunc-cvspace | |
504 | calcFunc-ctspace | |
505 | calcFunc-cbspace)) | |
506 | (memq (length x) '(2 3)) | |
507 | (eq (nth 1 x) 0)) | |
508 | (null x) | |
509 | (setq cc (math-compose-expr x prec)))) | |
510 | (setq a (if cc (math-comp-ascent cc) 0) | |
511 | d (if cc (math-comp-descent cc) 0)) | |
512 | (if (eq b 'calcFunc-cbase) | |
513 | (setq base (+ v a -1)) | |
514 | (if (eq b 'calcFunc-ctbase) | |
515 | (setq base v) | |
516 | (if (eq b 'calcFunc-cbbase) | |
517 | (setq base (+ v a d -1))))) | |
518 | (setq v (+ v a d)) | |
519 | cc))) | |
520 | (cdr (nth 1 a))))) | |
521 | (setq c (delq nil c)) | |
522 | (if c | |
523 | (cons (if (eq (car a) 'calcFunc-cvert) 'vcent | |
524 | (if (eq (car a) 'calcFunc-clvert) 'vleft 'vright)) | |
525 | (cons base c)) | |
526 | " "))) | |
527 | ((and (memq (car a) '(calcFunc-csup calcFunc-csub)) | |
528 | (not (eq calc-language 'unform)) | |
529 | (memq (length a) '(3 4)) | |
530 | (or (null (nth 3 a)) | |
531 | (integerp (nth 3 a)))) | |
532 | (list (if (eq (car a) 'calcFunc-csup) 'supscr 'subscr) | |
533 | (math-compose-expr (nth 1 a) (or (nth 3 a) 0)) | |
534 | (math-compose-expr (nth 2 a) 0))) | |
535 | ((and (eq (car a) 'calcFunc-cflat) | |
536 | (not (eq calc-language 'unform)) | |
537 | (memq (length a) '(2 3)) | |
538 | (or (null (nth 2 a)) | |
539 | (integerp (nth 2 a)))) | |
540 | (let ((calc-language (if (memq calc-language '(nil big)) | |
541 | 'flat calc-language))) | |
542 | (math-compose-expr (nth 1 a) (or (nth 2 a) 0)))) | |
543 | ((and (eq (car a) 'calcFunc-cspace) | |
544 | (memq (length a) '(2 3)) | |
545 | (natnump (nth 1 a))) | |
546 | (if (nth 2 a) | |
547 | (cons 'horiz (make-list (nth 1 a) | |
548 | (if (and (math-vectorp (nth 2 a)) | |
549 | (math-vector-is-string (nth 2 a))) | |
550 | (math-vector-to-string (nth 2 a) nil) | |
551 | (math-compose-expr (nth 2 a) 0)))) | |
552 | (make-string (nth 1 a) ?\ ))) | |
553 | ((and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
554 | (memq (length a) '(2 3)) | |
555 | (natnump (nth 1 a))) | |
556 | (if (= (nth 1 a) 0) | |
557 | "" | |
558 | (let* ((c (if (nth 2 a) | |
559 | (if (and (math-vectorp (nth 2 a)) | |
560 | (math-vector-is-string (nth 2 a))) | |
561 | (math-vector-to-string (nth 2 a) nil) | |
562 | (math-compose-expr (nth 2 a) 0)) | |
563 | " ")) | |
564 | (ca (math-comp-ascent c)) | |
565 | (cd (math-comp-descent c))) | |
566 | (cons 'vleft | |
567 | (cons (if (eq (car a) 'calcFunc-ctspace) | |
568 | (1- ca) | |
569 | (if (eq (car a) 'calcFunc-cbspace) | |
570 | (+ (* (1- (nth 1 a)) (+ ca cd)) (1- ca)) | |
571 | (/ (1- (* (nth 1 a) (+ ca cd))) 2))) | |
572 | (make-list (nth 1 a) c)))))) | |
573 | ((and (eq (car a) 'calcFunc-evalto) | |
574 | (setq calc-any-evaltos t) | |
018f0ad2 | 575 | (setq spfn (get calc-language 'math-evalto)) |
136211a9 EZ |
576 | (= math-compose-level (if math-comp-tagged 2 1)) |
577 | (= (length a) 3)) | |
578 | (list 'horiz | |
018f0ad2 | 579 | (car spfn) |
136211a9 | 580 | (math-compose-expr (nth 1 a) 0) |
018f0ad2 | 581 | (cdr spfn) |
136211a9 EZ |
582 | (math-compose-expr (nth 2 a) 0))) |
583 | (t | |
584 | (let ((op (and (not (eq calc-language 'unform)) | |
585 | (if (and (eq (car a) 'calcFunc-if) (= (length a) 4)) | |
586 | (assoc "?" math-expr-opers) | |
587 | (math-assq2 (car a) math-expr-opers))))) | |
588 | (cond ((and op | |
589 | (or (= (length a) 3) (eq (car a) 'calcFunc-if)) | |
590 | (/= (nth 3 op) -1)) | |
591 | (cond | |
592 | ((> prec (or (nth 4 op) (min (nth 2 op) (nth 3 op)))) | |
ddaad609 | 593 | (if (and (memq calc-language '(tex latex)) |
136211a9 EZ |
594 | (not (math-tex-expr-is-flat a))) |
595 | (if (eq (car-safe a) '/) | |
596 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
597 | (list 'horiz "\\left( " | |
598 | (math-compose-expr a -1) | |
599 | " \\right)")) | |
600 | (if (eq calc-language 'eqn) | |
601 | (if (or (eq (car-safe a) '/) | |
602 | (= (/ prec 100) 9)) | |
603 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
604 | (if (math-tex-expr-is-flat a) | |
605 | (list 'horiz "( " (math-compose-expr a -1) " )") | |
606 | (list 'horiz "{left ( " | |
607 | (math-compose-expr a -1) | |
608 | " right )}"))) | |
609 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
ddaad609 | 610 | ((and (memq calc-language '(tex latex)) |
136211a9 EZ |
611 | (memq (car a) '(/ calcFunc-choose calcFunc-evalto)) |
612 | (>= prec 0)) | |
613 | (list 'horiz "{" (math-compose-expr a -1) "}")) | |
614 | ((eq (car a) 'calcFunc-if) | |
615 | (list 'horiz | |
616 | (math-compose-expr (nth 1 a) (nth 2 op)) | |
617 | " ? " | |
618 | (math-compose-expr (nth 2 a) 0) | |
619 | " : " | |
620 | (math-compose-expr (nth 3 a) (nth 3 op)))) | |
621 | (t | |
622 | (let* ((math-comp-tagged (and math-comp-tagged | |
623 | (not (math-primp a)) | |
624 | math-comp-tagged)) | |
625 | (setlev (if (= prec (min (nth 2 op) (nth 3 op))) | |
626 | (progn | |
627 | (setq math-compose-level | |
628 | (1- math-compose-level)) | |
629 | nil) | |
630 | math-compose-level)) | |
631 | (lhs (math-compose-expr (nth 1 a) (nth 2 op))) | |
632 | (rhs (math-compose-expr (nth 2 a) (nth 3 op)))) | |
633 | (and (equal (car op) "^") | |
634 | (eq (math-comp-first-char lhs) ?-) | |
635 | (setq lhs (list 'horiz "(" lhs ")"))) | |
ddaad609 | 636 | (and (memq calc-language '(tex latex)) |
136211a9 EZ |
637 | (or (equal (car op) "^") (equal (car op) "_")) |
638 | (not (and (stringp rhs) (= (length rhs) 1))) | |
639 | (setq rhs (list 'horiz "{" rhs "}"))) | |
640 | (or (and (eq (car a) '*) | |
641 | (or (null calc-language) | |
642 | (assoc "2x" math-expr-opers)) | |
643 | (let* ((prevt (math-prod-last-term (nth 1 a))) | |
644 | (nextt (math-prod-first-term (nth 2 a))) | |
645 | (prevc (or (math-comp-last-char lhs) | |
646 | (and (memq (car-safe prevt) | |
647 | '(^ calcFunc-subscr | |
648 | calcFunc-sqrt | |
649 | frac)) | |
650 | (eq calc-language 'big) | |
651 | ?0))) | |
652 | (nextc (or (math-comp-first-char rhs) | |
653 | (and (memq (car-safe nextt) | |
654 | '(calcFunc-sqrt | |
655 | calcFunc-sum | |
656 | calcFunc-prod | |
657 | calcFunc-integ)) | |
658 | (eq calc-language 'big) | |
659 | ?0)))) | |
660 | (and prevc nextc | |
661 | (or (and (>= nextc ?a) (<= nextc ?z)) | |
662 | (and (>= nextc ?A) (<= nextc ?Z)) | |
663 | (and (>= nextc ?0) (<= nextc ?9)) | |
664 | (memq nextc '(?. ?_ ?# | |
665 | ?\( ?\[ ?\{)) | |
666 | (and (eq nextc ?\\) | |
667 | (not (string-match | |
668 | "\\`\\\\left(" | |
669 | (math-comp-first-string | |
670 | rhs))))) | |
671 | (not (and (eq (car-safe prevt) 'var) | |
672 | (eq nextc ?\())) | |
673 | (list 'horiz | |
674 | (list 'set setlev 1) | |
675 | lhs | |
676 | (list 'break math-compose-level) | |
677 | " " | |
678 | rhs)))) | |
679 | (list 'horiz | |
680 | (list 'set setlev 1) | |
681 | lhs | |
682 | (list 'break math-compose-level) | |
683 | (if (or (equal (car op) "^") | |
684 | (equal (car op) "_") | |
685 | (equal (car op) "**") | |
686 | (and (equal (car op) "*") | |
687 | (math-comp-last-char lhs) | |
688 | (math-comp-first-char rhs)) | |
689 | (and (equal (car op) "/") | |
690 | (math-num-integerp (nth 1 a)) | |
691 | (math-integerp (nth 2 a)))) | |
692 | (car op) | |
693 | (if (and (eq calc-language 'big) | |
694 | (equal (car op) "=>")) | |
695 | " => " | |
696 | (concat " " (car op) " "))) | |
697 | rhs)))))) | |
698 | ((and op (= (length a) 2) (= (nth 3 op) -1)) | |
699 | (cond | |
700 | ((or (> prec (or (nth 4 op) (nth 2 op))) | |
701 | (and (not (eq (assoc (car op) math-expr-opers) op)) | |
702 | (> prec 0))) ; don't write x% + y | |
ddaad609 | 703 | (if (and (memq calc-language '(tex latex)) |
136211a9 EZ |
704 | (not (math-tex-expr-is-flat a))) |
705 | (list 'horiz "\\left( " | |
706 | (math-compose-expr a -1) | |
707 | " \\right)") | |
708 | (if (eq calc-language 'eqn) | |
709 | (if (= (/ prec 100) 9) | |
710 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
711 | (if (math-tex-expr-is-flat a) | |
712 | (list 'horiz "{( " (math-compose-expr a -1) " )}") | |
713 | (list 'horiz "{left ( " | |
714 | (math-compose-expr a -1) | |
715 | " right )}"))) | |
716 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
717 | (t | |
718 | (let ((lhs (math-compose-expr (nth 1 a) (nth 2 op)))) | |
719 | (list 'horiz | |
720 | lhs | |
721 | (if (or (> (length (car op)) 1) | |
722 | (not (math-comp-is-flat lhs))) | |
723 | (concat " " (car op)) | |
724 | (car op))))))) | |
725 | ((and op (= (length a) 2) (= (nth 2 op) -1)) | |
726 | (cond | |
727 | ((eq (nth 3 op) 0) | |
ddaad609 | 728 | (let ((lr (and (memq calc-language '(tex latex)) |
136211a9 EZ |
729 | (not (math-tex-expr-is-flat (nth 1 a)))))) |
730 | (list 'horiz | |
731 | (if lr "\\left" "") | |
732 | (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" (car op)) | |
733 | (substring (car op) 1) | |
734 | (car op)) | |
735 | (if (or lr (> (length (car op)) 2)) " " "") | |
736 | (math-compose-expr (nth 1 a) -1) | |
737 | (if (or lr (> (length (car op)) 2)) " " "") | |
738 | (if lr "\\right" "") | |
739 | (car (nth 1 (memq op math-expr-opers)))))) | |
740 | ((> prec (or (nth 4 op) (nth 3 op))) | |
ddaad609 | 741 | (if (and (memq calc-language '(tex latex)) |
136211a9 EZ |
742 | (not (math-tex-expr-is-flat a))) |
743 | (list 'horiz "\\left( " | |
744 | (math-compose-expr a -1) | |
745 | " \\right)") | |
746 | (if (eq calc-language 'eqn) | |
747 | (if (= (/ prec 100) 9) | |
748 | (list 'horiz "{" (math-compose-expr a -1) "}") | |
749 | (if (math-tex-expr-is-flat a) | |
750 | (list 'horiz "{( " (math-compose-expr a -1) " )}") | |
751 | (list 'horiz "{left ( " | |
752 | (math-compose-expr a -1) | |
753 | " right )}"))) | |
754 | (list 'horiz "(" (math-compose-expr a 0) ")")))) | |
755 | (t | |
756 | (let ((rhs (math-compose-expr (nth 1 a) (nth 3 op)))) | |
757 | (list 'horiz | |
758 | (let ((ops (if (string-match "\\`u\\([^a-zA-Z]\\)\\'" | |
759 | (car op)) | |
760 | (substring (car op) 1) | |
761 | (car op)))) | |
762 | (if (or (> (length ops) 1) | |
763 | (not (math-comp-is-flat rhs))) | |
764 | (concat ops " ") | |
765 | ops)) | |
766 | rhs))))) | |
767 | ((and (eq calc-language 'big) | |
768 | (setq op (get (car a) 'math-compose-big)) | |
769 | (funcall op a prec))) | |
770 | ((and (setq op (assq calc-language | |
771 | '( ( nil . math-compose-normal ) | |
772 | ( flat . math-compose-normal ) | |
773 | ( big . math-compose-normal ) | |
774 | ( c . math-compose-c ) | |
775 | ( pascal . math-compose-pascal ) | |
776 | ( fortran . math-compose-fortran ) | |
777 | ( tex . math-compose-tex ) | |
ddaad609 | 778 | ( latex . math-compose-latex ) |
136211a9 EZ |
779 | ( eqn . math-compose-eqn ) |
780 | ( math . math-compose-math ) | |
781 | ( maple . math-compose-maple )))) | |
782 | (setq op (get (car a) (cdr op))) | |
783 | (funcall op a prec))) | |
784 | (t | |
785 | (let* ((func (car a)) | |
786 | (func2 (assq func '(( mod . calcFunc-makemod ) | |
787 | ( sdev . calcFunc-sdev ) | |
788 | ( + . calcFunc-add ) | |
789 | ( - . calcFunc-sub ) | |
790 | ( * . calcFunc-mul ) | |
791 | ( / . calcFunc-div ) | |
792 | ( % . calcFunc-mod ) | |
793 | ( ^ . calcFunc-pow ) | |
794 | ( neg . calcFunc-neg ) | |
795 | ( | . calcFunc-vconcat )))) | |
796 | left right args) | |
797 | (if func2 | |
798 | (setq func (cdr func2))) | |
799 | (if (setq func2 (rassq func math-expr-function-mapping)) | |
800 | (setq func (car func2))) | |
801 | (setq func (math-remove-dashes | |
802 | (if (string-match | |
803 | "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'" | |
804 | (symbol-name func)) | |
805 | (math-match-substring (symbol-name func) 1) | |
806 | (symbol-name func)))) | |
018f0ad2 | 807 | (if (memq calc-language calc-lang-allow-underscores) |
136211a9 | 808 | (setq func (math-to-underscores func))) |
018f0ad2 JB |
809 | (if (setq spfn (get calc-language 'math-func-formatter)) |
810 | (funcall spfn func a) | |
811 | ||
812 | (list 'horiz func calc-function-open | |
813 | (math-compose-vector (cdr a) ", " 0) | |
814 | calc-function-close)))))))))) | |
136211a9 | 815 | |
136211a9 EZ |
816 | |
817 | (defun math-prod-first-term (x) | |
818 | (while (eq (car-safe x) '*) | |
819 | (setq x (nth 1 x))) | |
bf77c646 | 820 | x) |
136211a9 EZ |
821 | |
822 | (defun math-prod-last-term (x) | |
823 | (while (eq (car-safe x) '*) | |
824 | (setq x (nth 2 x))) | |
bf77c646 | 825 | x) |
136211a9 EZ |
826 | |
827 | (defun math-compose-vector (a sep prec) | |
828 | (if a | |
829 | (cons 'horiz | |
830 | (cons (list 'set math-compose-level) | |
831 | (let ((c (list (math-compose-expr (car a) prec)))) | |
832 | (while (setq a (cdr a)) | |
833 | (setq c (cons (if (eq (car-safe (car a)) | |
834 | 'calcFunc-bstring) | |
835 | (let ((math-compose-level | |
836 | (1- math-compose-level))) | |
837 | (math-compose-expr (car a) -123)) | |
838 | (math-compose-expr (car a) prec)) | |
839 | (cons (list 'break math-compose-level) | |
840 | (cons sep c))))) | |
841 | (nreverse c)))) | |
bf77c646 | 842 | "")) |
136211a9 EZ |
843 | |
844 | (defun math-vector-no-parens (a) | |
845 | (or (cdr (cdr a)) | |
bf77c646 | 846 | (not (eq (car-safe (nth 1 a)) '*)))) |
136211a9 EZ |
847 | |
848 | (defun math-compose-matrix (a col cols base) | |
849 | (let ((col 0) | |
850 | (res nil)) | |
851 | (while (<= (setq col (1+ col)) cols) | |
fdcf8e2b | 852 | (setq res (cons (cons math-comp-just |
136211a9 EZ |
853 | (cons base |
854 | (mapcar (function | |
855 | (lambda (r) | |
856 | (list 'horiz | |
857 | (math-compose-expr | |
858 | (nth col r) | |
fdcf8e2b | 859 | math-comp-vector-prec) |
136211a9 EZ |
860 | (if (= col cols) |
861 | "" | |
fdcf8e2b JB |
862 | (concat |
863 | math-comp-comma-spc " "))))) | |
136211a9 EZ |
864 | a))) |
865 | res))) | |
bf77c646 | 866 | (nreverse res))) |
136211a9 EZ |
867 | |
868 | (defun math-compose-rows (a count first) | |
869 | (if (cdr a) | |
870 | (if (<= count 0) | |
871 | (if (< count 0) | |
872 | (math-compose-rows (cdr a) -1 nil) | |
018f0ad2 JB |
873 | (cons (concat |
874 | (let ((mdots (get calc-language 'math-dots))) | |
875 | (if mdots | |
876 | (concat " " mdots) | |
877 | " ...")) | |
878 | math-comp-comma) | |
136211a9 EZ |
879 | (math-compose-rows (cdr a) -1 nil))) |
880 | (cons (list 'horiz | |
fdcf8e2b JB |
881 | (if first (concat math-comp-left-bracket " ") " ") |
882 | (math-compose-expr (car a) math-comp-vector-prec) | |
883 | math-comp-comma) | |
136211a9 EZ |
884 | (math-compose-rows (cdr a) (1- count) nil))) |
885 | (list (list 'horiz | |
fdcf8e2b JB |
886 | (if first (concat math-comp-left-bracket " ") " ") |
887 | (math-compose-expr (car a) math-comp-vector-prec) | |
888 | (concat " " math-comp-right-bracket))))) | |
136211a9 | 889 | |
136211a9 EZ |
890 | (defun math-vector-is-string (a) |
891 | (while (and (setq a (cdr a)) | |
892 | (or (and (natnump (car a)) | |
893 | (<= (car a) 255)) | |
894 | (and (eq (car-safe (car a)) 'cplx) | |
895 | (natnump (nth 1 (car a))) | |
896 | (eq (nth 2 (car a)) 0) | |
897 | (<= (nth 1 (car a)) 255))))) | |
bf77c646 | 898 | (null a)) |
136211a9 | 899 | |
3132f345 CW |
900 | (defconst math-vector-to-string-chars '( ( ?\" . "\\\"" ) |
901 | ( ?\\ . "\\\\" ) | |
902 | ( ?\a . "\\a" ) | |
903 | ( ?\b . "\\b" ) | |
904 | ( ?\e . "\\e" ) | |
905 | ( ?\f . "\\f" ) | |
906 | ( ?\n . "\\n" ) | |
907 | ( ?\r . "\\r" ) | |
908 | ( ?\t . "\\t" ) | |
909 | ( ?\^? . "\\^?" ))) | |
910 | ||
136211a9 EZ |
911 | (defun math-vector-to-string (a &optional quoted) |
912 | (setq a (concat (mapcar (function (lambda (x) (if (consp x) (nth 1 x) x))) | |
913 | (cdr a)))) | |
914 | (if (string-match "[\000-\037\177\\\"]" a) | |
915 | (let ((p 0) | |
916 | (pat (if quoted "[\000-\037\177\\\"]" "[\000-\037\177]")) | |
917 | (codes (if quoted math-vector-to-string-chars '((?\^? . "^?")))) | |
918 | (fmt (if quoted "\\^%c" "^%c")) | |
919 | new) | |
920 | (while (setq p (string-match pat a p)) | |
921 | (if (setq new (assq (aref a p) codes)) | |
922 | (setq a (concat (substring a 0 p) | |
923 | (cdr new) | |
924 | (substring a (1+ p))) | |
925 | p (+ p (length (cdr new)))) | |
926 | (setq a (concat (substring a 0 p) | |
927 | (format fmt (+ (aref a p) 64)) | |
928 | (substring a (1+ p))) | |
929 | p (+ p 2)))))) | |
930 | (if quoted | |
931 | (concat "\"" a "\"") | |
bf77c646 | 932 | a)) |
3132f345 | 933 | |
136211a9 EZ |
934 | |
935 | (defun math-to-underscores (x) | |
936 | (if (string-match "\\`\\(.*\\)#\\(.*\\)\\'" x) | |
937 | (math-to-underscores | |
938 | (concat (math-match-substring x 1) "_" (math-match-substring x 2))) | |
bf77c646 | 939 | x)) |
136211a9 EZ |
940 | |
941 | (defun math-tex-expr-is-flat (a) | |
942 | (or (Math-integerp a) | |
943 | (memq (car a) '(float var)) | |
944 | (and (memq (car a) '(+ - * neg)) | |
945 | (progn | |
946 | (while (and (setq a (cdr a)) | |
947 | (math-tex-expr-is-flat (car a)))) | |
948 | (null a))) | |
949 | (and (memq (car a) '(^ calcFunc-subscr)) | |
bf77c646 | 950 | (math-tex-expr-is-flat (nth 1 a))))) |
136211a9 EZ |
951 | |
952 | (put 'calcFunc-log 'math-compose-big 'math-compose-log) | |
953 | (defun math-compose-log (a prec) | |
954 | (and (= (length a) 3) | |
955 | (list 'horiz | |
956 | (list 'subscr "log" | |
957 | (let ((calc-language 'flat)) | |
958 | (math-compose-expr (nth 2 a) 1000))) | |
959 | "(" | |
960 | (math-compose-expr (nth 1 a) 1000) | |
bf77c646 | 961 | ")"))) |
136211a9 EZ |
962 | |
963 | (put 'calcFunc-log10 'math-compose-big 'math-compose-log10) | |
964 | (defun math-compose-log10 (a prec) | |
965 | (and (= (length a) 2) | |
966 | (list 'horiz | |
967 | (list 'subscr "log" "10") | |
968 | "(" | |
969 | (math-compose-expr (nth 1 a) 1000) | |
bf77c646 | 970 | ")"))) |
136211a9 EZ |
971 | |
972 | (put 'calcFunc-deriv 'math-compose-big 'math-compose-deriv) | |
973 | (put 'calcFunc-tderiv 'math-compose-big 'math-compose-deriv) | |
974 | (defun math-compose-deriv (a prec) | |
3132f345 CW |
975 | (when (= (length a) 3) |
976 | (math-compose-expr (list '/ | |
977 | (list 'calcFunc-choriz | |
978 | (list 'vec | |
979 | '(calcFunc-string (vec ?d)) | |
980 | (nth 1 a))) | |
981 | (list 'calcFunc-choriz | |
982 | (list 'vec | |
983 | '(calcFunc-string (vec ?d)) | |
984 | (nth 2 a)))) | |
985 | prec))) | |
136211a9 EZ |
986 | |
987 | (put 'calcFunc-sqrt 'math-compose-big 'math-compose-sqrt) | |
988 | (defun math-compose-sqrt (a prec) | |
3132f345 CW |
989 | (when (= (length a) 2) |
990 | (let* ((c (math-compose-expr (nth 1 a) 0)) | |
991 | (a (math-comp-ascent c)) | |
992 | (d (math-comp-descent c)) | |
993 | (h (+ a d)) | |
994 | (w (math-comp-width c))) | |
995 | (list 'vleft | |
996 | a | |
997 | (concat (if (= h 1) " " " ") | |
998 | (make-string (+ w 2) ?\_)) | |
999 | (list 'horiz | |
1000 | (if (= h 1) | |
1001 | "V" | |
1002 | (append (list 'vleft (1- a)) | |
1003 | (make-list (1- h) " |") | |
1004 | '("\\|"))) | |
1005 | " " | |
1006 | c))))) | |
136211a9 EZ |
1007 | |
1008 | (put 'calcFunc-choose 'math-compose-big 'math-compose-choose) | |
1009 | (defun math-compose-choose (a prec) | |
1010 | (let ((a1 (math-compose-expr (nth 1 a) 0)) | |
1011 | (a2 (math-compose-expr (nth 2 a) 0))) | |
1012 | (list 'horiz | |
1013 | "(" | |
1014 | (list 'vcent | |
1015 | (math-comp-height a1) | |
1016 | a1 " " a2) | |
bf77c646 | 1017 | ")"))) |
136211a9 EZ |
1018 | |
1019 | (put 'calcFunc-integ 'math-compose-big 'math-compose-integ) | |
1020 | (defun math-compose-integ (a prec) | |
1021 | (and (memq (length a) '(3 5)) | |
1022 | (eq (car-safe (nth 2 a)) 'var) | |
1023 | (let* ((parens (and (>= prec 196) (/= prec 1000))) | |
1024 | (var (math-compose-expr (nth 2 a) 0)) | |
1025 | (over (and (eq (car-safe (nth 2 a)) 'var) | |
1026 | (or (and (eq (car-safe (nth 1 a)) '/) | |
1027 | (math-numberp (nth 1 (nth 1 a)))) | |
1028 | (and (eq (car-safe (nth 1 a)) '^) | |
1029 | (math-looks-negp (nth 2 (nth 1 a))))))) | |
1030 | (expr (math-compose-expr (if over | |
1031 | (math-mul (nth 1 a) | |
1032 | (math-build-var-name | |
1033 | (format | |
1034 | "d%s" | |
1035 | (nth 1 (nth 2 a))))) | |
1036 | (nth 1 a)) 185)) | |
1037 | (calc-language 'flat) | |
1038 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
1039 | (high (and (nth 4 a) (math-compose-expr (nth 4 a) 0)))) | |
1040 | (list 'horiz | |
1041 | (if parens "(" "") | |
1042 | (append (list 'vcent (if high 3 2)) | |
1043 | (and high (list (list 'horiz " " high))) | |
1044 | '(" /" | |
1045 | " | " | |
1046 | " | " | |
1047 | " | " | |
1048 | "/ ") | |
1049 | (and low (list (list 'horiz low " ")))) | |
1050 | expr | |
1051 | (if over | |
1052 | "" | |
1053 | (list 'horiz " d" var)) | |
bf77c646 | 1054 | (if parens ")" ""))))) |
136211a9 EZ |
1055 | |
1056 | (put 'calcFunc-sum 'math-compose-big 'math-compose-sum) | |
1057 | (defun math-compose-sum (a prec) | |
1058 | (and (memq (length a) '(3 5 6)) | |
1059 | (let* ((expr (math-compose-expr (nth 1 a) 185)) | |
1060 | (calc-language 'flat) | |
1061 | (var (math-compose-expr (nth 2 a) 0)) | |
1062 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
1063 | (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0)))) | |
1064 | (list 'horiz | |
1065 | (if (memq prec '(180 201)) "(" "") | |
1066 | (append (list 'vcent (if high 3 2)) | |
1067 | (and high (list high)) | |
1068 | '("---- " | |
1069 | "\\ " | |
1070 | " > " | |
1071 | "/ " | |
1072 | "---- ") | |
1073 | (if low | |
1074 | (list (list 'horiz var " = " low)) | |
1075 | (list var))) | |
1076 | (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod)) | |
1077 | " " "") | |
1078 | expr | |
bf77c646 | 1079 | (if (memq prec '(180 201)) ")" ""))))) |
136211a9 EZ |
1080 | |
1081 | (put 'calcFunc-prod 'math-compose-big 'math-compose-prod) | |
1082 | (defun math-compose-prod (a prec) | |
1083 | (and (memq (length a) '(3 5 6)) | |
1084 | (let* ((expr (math-compose-expr (nth 1 a) 198)) | |
1085 | (calc-language 'flat) | |
1086 | (var (math-compose-expr (nth 2 a) 0)) | |
1087 | (low (and (nth 3 a) (math-compose-expr (nth 3 a) 0))) | |
1088 | (high (and (nth 4 a) (math-compose-vector (nthcdr 4 a) ", " 0)))) | |
1089 | (list 'horiz | |
1090 | (if (memq prec '(196 201)) "(" "") | |
1091 | (append (list 'vcent (if high 3 2)) | |
1092 | (and high (list high)) | |
1093 | '("----- " | |
1094 | " | | " | |
1095 | " | | " | |
1096 | " | | ") | |
1097 | (if low | |
1098 | (list (list 'horiz var " = " low)) | |
1099 | (list var))) | |
1100 | (if (memq (car-safe (nth 1 a)) '(calcFunc-sum calcFunc-prod)) | |
1101 | " " "") | |
1102 | expr | |
bf77c646 | 1103 | (if (memq prec '(196 201)) ")" ""))))) |
136211a9 | 1104 | |
fdcf8e2b JB |
1105 | ;; The variables math-svo-c, math-svo-wid and math-svo-off are local |
1106 | ;; to math-stack-value-offset in calc.el, but are used by | |
1107 | ;; math-stack-value-offset-fancy, which is called by math-stack-value-offset.. | |
1108 | (defvar math-svo-c) | |
1109 | (defvar math-svo-wid) | |
1110 | (defvar math-svo-off) | |
136211a9 EZ |
1111 | |
1112 | (defun math-stack-value-offset-fancy () | |
fdcf8e2b | 1113 | (let ((cwid (+ (math-comp-width math-svo-c)))) |
136211a9 EZ |
1114 | (cond ((eq calc-display-just 'right) |
1115 | (if calc-display-origin | |
fdcf8e2b | 1116 | (setq math-svo-wid (max calc-display-origin 5)) |
136211a9 | 1117 | (if (integerp calc-line-breaking) |
fdcf8e2b JB |
1118 | (setq math-svo-wid calc-line-breaking))) |
1119 | (setq math-svo-off (- math-svo-wid cwid | |
136211a9 EZ |
1120 | (max (- (length calc-right-label) |
1121 | (if (and (integerp calc-line-breaking) | |
1122 | calc-display-origin) | |
1123 | (max (- calc-line-breaking | |
1124 | calc-display-origin) | |
1125 | 0) | |
1126 | 0)) | |
1127 | 0)))) | |
1128 | (t | |
1129 | (if calc-display-origin | |
1130 | (progn | |
fdcf8e2b | 1131 | (setq math-svo-off (- calc-display-origin (/ cwid 2))) |
136211a9 | 1132 | (if (integerp calc-line-breaking) |
fdcf8e2b | 1133 | (setq math-svo-off (min math-svo-off (- calc-line-breaking cwid |
136211a9 | 1134 | (length calc-right-label))))) |
fdcf8e2b JB |
1135 | (if (>= math-svo-off 0) |
1136 | (setq math-svo-wid (max math-svo-wid (+ math-svo-off cwid))))) | |
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) 2))))) | |
136211a9 | 1140 | (and (integerp calc-line-breaking) |
fdcf8e2b | 1141 | (or (< math-svo-off 0) |
136211a9 EZ |
1142 | (and calc-display-origin |
1143 | (> calc-line-breaking calc-display-origin))) | |
fdcf8e2b | 1144 | (setq math-svo-wid calc-line-breaking)))) |
136211a9 EZ |
1145 | |
1146 | ||
1147 | ;;; Convert a composition to string form, with embedded \n's if necessary. | |
1148 | ||
1149 | (defun math-composition-to-string (c &optional width) | |
1150 | (or width (setq width (calc-window-width))) | |
1151 | (if calc-display-raw | |
1152 | (math-comp-to-string-raw c 0) | |
1153 | (if (math-comp-is-flat c) | |
1154 | (math-comp-to-string-flat c width) | |
1155 | (math-vert-comp-to-string | |
bf77c646 | 1156 | (math-comp-simplify c width))))) |
136211a9 | 1157 | |
3132f345 CW |
1158 | (defvar math-comp-buf-string (make-vector 10 "")) |
1159 | (defvar math-comp-buf-margin (make-vector 10 0)) | |
1160 | (defvar math-comp-buf-level (make-vector 10 0)) | |
136211a9 EZ |
1161 | (defun math-comp-is-flat (c) ; check if c's height is 1. |
1162 | (cond ((not (consp c)) t) | |
1163 | ((memq (car c) '(set break)) t) | |
1164 | ((eq (car c) 'horiz) | |
1165 | (while (and (setq c (cdr c)) | |
1166 | (math-comp-is-flat (car c)))) | |
1167 | (null c)) | |
1168 | ((memq (car c) '(vleft vcent vright)) | |
1169 | (and (= (length c) 3) | |
1170 | (= (nth 1 c) 0) | |
1171 | (math-comp-is-flat (nth 2 c)))) | |
1172 | ((eq (car c) 'tag) | |
1173 | (math-comp-is-flat (nth 2 c))) | |
bf77c646 | 1174 | (t nil))) |
136211a9 EZ |
1175 | |
1176 | ||
1177 | ;;; Convert a one-line composition to a string. Break into multiple | |
1178 | ;;; lines if necessary, choosing break points according to the structure | |
1179 | ;;; of the formula. | |
1180 | ||
fdcf8e2b JB |
1181 | ;; The variables math-comp-full-width, math-comp-highlight, math-comp-word, |
1182 | ;; math-comp-level, math-comp-margin and math-comp-buf are local to | |
1183 | ;; math-comp-to-string-flat, but are used by math-comp-to-string-flat-term, | |
1184 | ;; which is called by math-comp-to-string-flat. | |
1185 | ;; math-comp-highlight and math-comp-buf are also local to | |
1186 | ;; math-comp-simplify-term and math-comp-simplify respectively, but are used | |
1187 | ;; by math-comp-add-string. | |
1188 | (defvar math-comp-full-width) | |
1189 | (defvar math-comp-highlight) | |
1190 | (defvar math-comp-word) | |
1191 | (defvar math-comp-level) | |
1192 | (defvar math-comp-margin) | |
1193 | (defvar math-comp-buf) | |
1194 | ;; The variable math-comp-pos is local to math-comp-to-string-flat, but | |
1195 | ;; is used by math-comp-to-string-flat-term and math-comp-sel-first-term, | |
1196 | ;; which are called by math-comp-to-string-flat. | |
1197 | (defvar math-comp-pos) | |
1198 | ||
1199 | (defun math-comp-to-string-flat (c math-comp-full-width) | |
136211a9 | 1200 | (if math-comp-sel-hpos |
fdcf8e2b | 1201 | (let ((math-comp-pos 0)) |
136211a9 | 1202 | (math-comp-sel-flat-term c)) |
fdcf8e2b JB |
1203 | (let ((math-comp-buf "") |
1204 | (math-comp-word "") | |
1205 | (math-comp-pos 0) | |
1206 | (math-comp-margin 0) | |
1207 | (math-comp-highlight (and math-comp-selected calc-show-selections)) | |
1208 | (math-comp-level -1)) | |
136211a9 EZ |
1209 | (math-comp-to-string-flat-term '(set -1 0)) |
1210 | (math-comp-to-string-flat-term c) | |
1211 | (math-comp-to-string-flat-term '(break -1)) | |
1212 | (let ((str (aref math-comp-buf-string 0)) | |
1213 | (prefix "")) | |
1214 | (and (> (length str) 0) (= (aref str 0) ? ) | |
fdcf8e2b JB |
1215 | (> (length math-comp-buf) 0) |
1216 | (let ((k (length math-comp-buf))) | |
1217 | (while (not (= (aref math-comp-buf (setq k (1- k))) ?\n))) | |
1218 | (aset math-comp-buf k ? ) | |
1219 | (if (and (< (1+ k) (length math-comp-buf)) | |
1220 | (= (aref math-comp-buf (1+ k)) ? )) | |
136211a9 | 1221 | (progn |
fdcf8e2b | 1222 | (aset math-comp-buf (1+ k) ?\n) |
136211a9 EZ |
1223 | (setq prefix " ")) |
1224 | (setq prefix "\n")))) | |
fdcf8e2b | 1225 | (concat math-comp-buf prefix str))))) |
136211a9 EZ |
1226 | |
1227 | (defun math-comp-to-string-flat-term (c) | |
1228 | (cond ((not (consp c)) | |
fdcf8e2b | 1229 | (if math-comp-highlight |
136211a9 | 1230 | (setq c (math-comp-highlight-string c))) |
fdcf8e2b JB |
1231 | (setq math-comp-word (if (= (length math-comp-word) 0) c |
1232 | (concat math-comp-word c)) | |
1233 | math-comp-pos (+ math-comp-pos (length c)))) | |
136211a9 EZ |
1234 | |
1235 | ((eq (car c) 'horiz) | |
1236 | (while (setq c (cdr c)) | |
1237 | (math-comp-to-string-flat-term (car c)))) | |
1238 | ||
1239 | ((eq (car c) 'set) | |
1240 | (if (nth 1 c) | |
1241 | (progn | |
fdcf8e2b JB |
1242 | (setq math-comp-level (1+ math-comp-level)) |
1243 | (if (>= math-comp-level (length math-comp-buf-string)) | |
136211a9 EZ |
1244 | (setq math-comp-buf-string (vconcat math-comp-buf-string |
1245 | math-comp-buf-string) | |
1246 | math-comp-buf-margin (vconcat math-comp-buf-margin | |
1247 | math-comp-buf-margin) | |
1248 | math-comp-buf-level (vconcat math-comp-buf-level | |
1249 | math-comp-buf-level))) | |
fdcf8e2b JB |
1250 | (aset math-comp-buf-string math-comp-level "") |
1251 | (aset math-comp-buf-margin math-comp-level (+ math-comp-pos | |
136211a9 | 1252 | (or (nth 2 c) 0))) |
fdcf8e2b | 1253 | (aset math-comp-buf-level math-comp-level (nth 1 c))))) |
136211a9 EZ |
1254 | |
1255 | ((eq (car c) 'break) | |
1256 | (if (not calc-line-breaking) | |
fdcf8e2b JB |
1257 | (setq math-comp-buf (concat math-comp-buf math-comp-word) |
1258 | math-comp-word "") | |
136211a9 | 1259 | (let ((i 0) str) |
fdcf8e2b | 1260 | (if (and (> math-comp-pos math-comp-full-width) |
136211a9 EZ |
1261 | (progn |
1262 | (while (progn | |
1263 | (setq str (aref math-comp-buf-string i)) | |
fdcf8e2b | 1264 | (and (= (length str) 0) (< i math-comp-level))) |
136211a9 | 1265 | (setq i (1+ i))) |
fdcf8e2b | 1266 | (or (> (length str) 0) (> (length math-comp-buf) 0)))) |
136211a9 EZ |
1267 | (let ((prefix "") mrg wid) |
1268 | (setq mrg (aref math-comp-buf-margin i)) | |
1269 | (if (> mrg 12) ; indenting too far, go back to far left | |
1270 | (let ((j i) (new (if calc-line-numbering 5 1))) | |
fdcf8e2b | 1271 | '(while (<= j math-comp-level) |
136211a9 EZ |
1272 | (aset math-comp-buf-margin j |
1273 | (+ (aref math-comp-buf-margin j) (- new mrg))) | |
1274 | (setq j (1+ j))) | |
1275 | (setq mrg new))) | |
fdcf8e2b | 1276 | (setq wid (+ (length str) math-comp-margin)) |
136211a9 | 1277 | (and (> (length str) 0) (= (aref str 0) ? ) |
fdcf8e2b JB |
1278 | (> (length math-comp-buf) 0) |
1279 | (let ((k (length math-comp-buf))) | |
1280 | (while (not (= (aref math-comp-buf (setq k (1- k))) ?\n))) | |
1281 | (aset math-comp-buf k ? ) | |
1282 | (if (and (< (1+ k) (length math-comp-buf)) | |
1283 | (= (aref math-comp-buf (1+ k)) ? )) | |
136211a9 | 1284 | (progn |
fdcf8e2b | 1285 | (aset math-comp-buf (1+ k) ?\n) |
136211a9 EZ |
1286 | (setq prefix " ")) |
1287 | (setq prefix "\n")))) | |
fdcf8e2b | 1288 | (setq math-comp-buf (concat math-comp-buf prefix str "\n" |
136211a9 | 1289 | (make-string mrg ? )) |
fdcf8e2b JB |
1290 | math-comp-pos (+ math-comp-pos (- mrg wid)) |
1291 | math-comp-margin mrg) | |
136211a9 | 1292 | (aset math-comp-buf-string i "") |
fdcf8e2b | 1293 | (while (<= (setq i (1+ i)) math-comp-level) |
136211a9 EZ |
1294 | (if (> (aref math-comp-buf-margin i) wid) |
1295 | (aset math-comp-buf-margin i | |
1296 | (+ (aref math-comp-buf-margin i) | |
1297 | (- mrg wid)))))))) | |
fdcf8e2b JB |
1298 | (if (and (= (nth 1 c) (aref math-comp-buf-level math-comp-level)) |
1299 | (< math-comp-pos (+ (aref math-comp-buf-margin math-comp-level) 2))) | |
136211a9 | 1300 | () ; avoid stupid breaks, e.g., "1 +\n really_long_expr" |
fdcf8e2b | 1301 | (let ((str (aref math-comp-buf-string math-comp-level))) |
136211a9 | 1302 | (setq str (if (= (length str) 0) |
fdcf8e2b JB |
1303 | math-comp-word |
1304 | (concat str math-comp-word)) | |
1305 | math-comp-word "") | |
1306 | (while (< (nth 1 c) (aref math-comp-buf-level math-comp-level)) | |
1307 | (setq math-comp-level (1- math-comp-level)) | |
1308 | (or (= (length (aref math-comp-buf-string math-comp-level)) 0) | |
1309 | (setq str (concat (aref math-comp-buf-string math-comp-level) | |
136211a9 | 1310 | str)))) |
fdcf8e2b | 1311 | (aset math-comp-buf-string math-comp-level str))))) |
136211a9 EZ |
1312 | |
1313 | ((eq (car c) 'tag) | |
1314 | (cond ((eq (nth 1 c) math-comp-selected) | |
fdcf8e2b | 1315 | (let ((math-comp-highlight (not calc-show-selections))) |
136211a9 EZ |
1316 | (math-comp-to-string-flat-term (nth 2 c)))) |
1317 | ((eq (nth 1 c) t) | |
fdcf8e2b | 1318 | (let ((math-comp-highlight nil)) |
136211a9 EZ |
1319 | (math-comp-to-string-flat-term (nth 2 c)))) |
1320 | (t (math-comp-to-string-flat-term (nth 2 c))))) | |
1321 | ||
bf77c646 | 1322 | (t (math-comp-to-string-flat-term (nth 2 c))))) |
136211a9 EZ |
1323 | |
1324 | (defun math-comp-highlight-string (s) | |
1325 | (setq s (copy-sequence s)) | |
1326 | (let ((i (length s))) | |
1327 | (while (>= (setq i (1- i)) 0) | |
1328 | (or (memq (aref s i) '(32 ?\n)) | |
1329 | (aset s i (if calc-show-selections ?\. ?\#))))) | |
bf77c646 | 1330 | s) |
136211a9 | 1331 | |
fdcf8e2b JB |
1332 | |
1333 | ;; The variable math-comp-sel-tag is local to calc-find-selected-part | |
1334 | ;; in calc-sel.el, but is used by math-comp-sel-flat-term and | |
1335 | ;; math-comp-add-string-sel, which are called (indirectly) by | |
1336 | ;; calc-find-selected-part. | |
1337 | (defvar math-comp-sel-tag) | |
1338 | ||
136211a9 EZ |
1339 | (defun math-comp-sel-flat-term (c) |
1340 | (cond ((not (consp c)) | |
fdcf8e2b | 1341 | (setq math-comp-pos (+ math-comp-pos (length c)))) |
136211a9 EZ |
1342 | ((memq (car c) '(set break))) |
1343 | ((eq (car c) 'horiz) | |
1344 | (while (and (setq c (cdr c)) (< math-comp-sel-cpos 1000000)) | |
1345 | (math-comp-sel-flat-term (car c)))) | |
1346 | ((eq (car c) 'tag) | |
fdcf8e2b | 1347 | (if (<= math-comp-pos math-comp-sel-cpos) |
136211a9 EZ |
1348 | (progn |
1349 | (math-comp-sel-flat-term (nth 2 c)) | |
fdcf8e2b | 1350 | (if (> math-comp-pos math-comp-sel-cpos) |
136211a9 EZ |
1351 | (setq math-comp-sel-tag c |
1352 | math-comp-sel-cpos 1000000))) | |
1353 | (math-comp-sel-flat-term (nth 2 c)))) | |
bf77c646 | 1354 | (t (math-comp-sel-flat-term (nth 2 c))))) |
136211a9 EZ |
1355 | |
1356 | ||
1357 | ;;; Simplify a composition to a canonical form consisting of | |
1358 | ;;; (vleft n "string" "string" "string" ...) | |
1359 | ;;; where 0 <= n < number-of-strings. | |
1360 | ||
fdcf8e2b JB |
1361 | ;; The variables math-comp-base, math-comp-hgt, math-comp-tag, |
1362 | ;; math-comp-hpos and math-comp-vpos are local to math-comp-simplify, | |
1363 | ;; but are used by math-comp-add-string (math-comp-base, math-comp-hgt), | |
1364 | ;; math-comp-add-string-sel (math-comp-tag) and math-comp-simplify-term | |
1365 | ;; (math-comp-tag, math-comp-vpos, math-comp-hpos), which are called by | |
1366 | ;; math-comp-simplify. | |
1367 | (defvar math-comp-base) | |
1368 | (defvar math-comp-hgt) | |
1369 | (defvar math-comp-tag) | |
1370 | (defvar math-comp-hpos) | |
1371 | (defvar math-comp-vpos) | |
1372 | ||
136211a9 | 1373 | (defun math-comp-simplify (c full-width) |
fdcf8e2b JB |
1374 | (let ((math-comp-buf (list "")) |
1375 | (math-comp-base 0) | |
1376 | (math-comp-hgt 1) | |
1377 | (math-comp-hpos 0) | |
1378 | (math-comp-vpos 0) | |
1379 | (math-comp-highlight (and math-comp-selected calc-show-selections)) | |
1380 | (math-comp-tag nil)) | |
136211a9 | 1381 | (math-comp-simplify-term c) |
fdcf8e2b | 1382 | (cons 'vleft (cons math-comp-base math-comp-buf)))) |
136211a9 EZ |
1383 | |
1384 | (defun math-comp-add-string (s h v) | |
1385 | (and (> (length s) 0) | |
fdcf8e2b | 1386 | (let ((vv (+ v math-comp-base))) |
136211a9 EZ |
1387 | (if math-comp-sel-hpos |
1388 | (math-comp-add-string-sel h vv (length s) 1) | |
1389 | (if (< vv 0) | |
fdcf8e2b JB |
1390 | (setq math-comp-buf (nconc (make-list (- vv) "") math-comp-buf) |
1391 | math-comp-base (- v) | |
1392 | math-comp-hgt (- math-comp-hgt vv) | |
136211a9 | 1393 | vv 0) |
fdcf8e2b JB |
1394 | (if (>= vv math-comp-hgt) |
1395 | (setq math-comp-buf (nconc math-comp-buf | |
1396 | (make-list (1+ (- vv math-comp-hgt)) "")) | |
1397 | math-comp-hgt (1+ vv)))) | |
1398 | (let ((str (nthcdr vv math-comp-buf))) | |
136211a9 EZ |
1399 | (setcar str (concat (car str) |
1400 | (make-string (- h (length (car str))) 32) | |
fdcf8e2b | 1401 | (if math-comp-highlight |
136211a9 | 1402 | (math-comp-highlight-string s) |
bf77c646 | 1403 | s)))))))) |
136211a9 EZ |
1404 | |
1405 | (defun math-comp-add-string-sel (x y w h) | |
1406 | (if (and (<= y math-comp-sel-vpos) | |
1407 | (> (+ y h) math-comp-sel-vpos) | |
1408 | (<= x math-comp-sel-hpos) | |
1409 | (> (+ x w) math-comp-sel-hpos)) | |
fdcf8e2b | 1410 | (setq math-comp-sel-tag math-comp-tag |
bf77c646 | 1411 | math-comp-sel-vpos 10000))) |
136211a9 EZ |
1412 | |
1413 | (defun math-comp-simplify-term (c) | |
1414 | (cond ((stringp c) | |
fdcf8e2b JB |
1415 | (math-comp-add-string c math-comp-hpos math-comp-vpos) |
1416 | (setq math-comp-hpos (+ math-comp-hpos (length c)))) | |
136211a9 EZ |
1417 | ((memq (car c) '(set break)) |
1418 | nil) | |
1419 | ((eq (car c) 'horiz) | |
1420 | (while (setq c (cdr c)) | |
1421 | (math-comp-simplify-term (car c)))) | |
1422 | ((memq (car c) '(vleft vcent vright)) | |
fdcf8e2b | 1423 | (let* ((math-comp-vpos (+ (- math-comp-vpos (nth 1 c)) |
136211a9 EZ |
1424 | (1- (math-comp-ascent (nth 2 c))))) |
1425 | (widths (mapcar 'math-comp-width (cdr (cdr c)))) | |
1426 | (maxwid (apply 'max widths)) | |
1427 | (bias (cond ((eq (car c) 'vleft) 0) | |
1428 | ((eq (car c) 'vcent) 1) | |
1429 | (t 2)))) | |
1430 | (setq c (cdr c)) | |
1431 | (while (setq c (cdr c)) | |
1432 | (if (eq (car-safe (car c)) 'rule) | |
1433 | (math-comp-add-string (make-string maxwid (nth 1 (car c))) | |
fdcf8e2b JB |
1434 | math-comp-hpos math-comp-vpos) |
1435 | (let ((math-comp-hpos (+ math-comp-hpos (/ (* bias (- maxwid | |
136211a9 EZ |
1436 | (car widths))) |
1437 | 2)))) | |
1438 | (math-comp-simplify-term (car c)))) | |
1439 | (and (cdr c) | |
fdcf8e2b | 1440 | (setq math-comp-vpos (+ math-comp-vpos |
136211a9 EZ |
1441 | (+ (math-comp-descent (car c)) |
1442 | (math-comp-ascent (nth 1 c)))) | |
1443 | widths (cdr widths)))) | |
fdcf8e2b | 1444 | (setq math-comp-hpos (+ math-comp-hpos maxwid)))) |
136211a9 EZ |
1445 | ((eq (car c) 'supscr) |
1446 | (let* ((asc (or 1 (math-comp-ascent (nth 1 c)))) | |
1447 | (desc (math-comp-descent (nth 2 c))) | |
1448 | (oldh (prog1 | |
fdcf8e2b | 1449 | math-comp-hpos |
136211a9 | 1450 | (math-comp-simplify-term (nth 1 c)))) |
fdcf8e2b | 1451 | (math-comp-vpos (- math-comp-vpos (+ asc desc)))) |
136211a9 EZ |
1452 | (math-comp-simplify-term (nth 2 c)) |
1453 | (if math-comp-sel-hpos | |
1454 | (math-comp-add-string-sel oldh | |
fdcf8e2b | 1455 | (- math-comp-vpos |
136211a9 EZ |
1456 | -1 |
1457 | (math-comp-ascent (nth 2 c))) | |
fdcf8e2b | 1458 | (- math-comp-hpos oldh) |
136211a9 EZ |
1459 | (math-comp-height c))))) |
1460 | ((eq (car c) 'subscr) | |
1461 | (let* ((asc (math-comp-ascent (nth 2 c))) | |
1462 | (desc (math-comp-descent (nth 1 c))) | |
fdcf8e2b | 1463 | (oldv math-comp-vpos) |
136211a9 | 1464 | (oldh (prog1 |
fdcf8e2b | 1465 | math-comp-hpos |
136211a9 | 1466 | (math-comp-simplify-term (nth 1 c)))) |
fdcf8e2b | 1467 | (math-comp-vpos (+ math-comp-vpos (+ asc desc)))) |
136211a9 EZ |
1468 | (math-comp-simplify-term (nth 2 c)) |
1469 | (if math-comp-sel-hpos | |
1470 | (math-comp-add-string-sel oldh oldv | |
fdcf8e2b | 1471 | (- math-comp-hpos oldh) |
136211a9 EZ |
1472 | (math-comp-height c))))) |
1473 | ((eq (car c) 'tag) | |
1474 | (cond ((eq (nth 1 c) math-comp-selected) | |
fdcf8e2b | 1475 | (let ((math-comp-highlight (not calc-show-selections))) |
136211a9 EZ |
1476 | (math-comp-simplify-term (nth 2 c)))) |
1477 | ((eq (nth 1 c) t) | |
fdcf8e2b | 1478 | (let ((math-comp-highlight nil)) |
136211a9 | 1479 | (math-comp-simplify-term (nth 2 c)))) |
fdcf8e2b | 1480 | (t (let ((math-comp-tag c)) |
bf77c646 | 1481 | (math-comp-simplify-term (nth 2 c)))))))) |
136211a9 EZ |
1482 | |
1483 | ||
1484 | ;;; Measuring a composition. | |
1485 | ||
1486 | (defun math-comp-first-char (c) | |
1487 | (cond ((stringp c) | |
1488 | (and (> (length c) 0) | |
1489 | (elt c 0))) | |
1490 | ((memq (car c) '(horiz subscr supscr)) | |
1491 | (while (and (setq c (cdr c)) | |
1492 | (math-comp-is-null (car c)))) | |
1493 | (and c (math-comp-first-char (car c)))) | |
1494 | ((eq (car c) 'tag) | |
bf77c646 | 1495 | (math-comp-first-char (nth 2 c))))) |
136211a9 EZ |
1496 | |
1497 | (defun math-comp-first-string (c) | |
1498 | (cond ((stringp c) | |
1499 | (and (> (length c) 0) | |
1500 | c)) | |
1501 | ((eq (car c) 'horiz) | |
1502 | (while (and (setq c (cdr c)) | |
1503 | (math-comp-is-null (car c)))) | |
1504 | (and c (math-comp-first-string (car c)))) | |
1505 | ((eq (car c) 'tag) | |
bf77c646 | 1506 | (math-comp-first-string (nth 2 c))))) |
136211a9 EZ |
1507 | |
1508 | (defun math-comp-last-char (c) | |
1509 | (cond ((stringp c) | |
1510 | (and (> (length c) 0) | |
1511 | (elt c (1- (length c))))) | |
1512 | ((eq (car c) 'horiz) | |
1513 | (let ((c (reverse (cdr c)))) | |
1514 | (while (and c (math-comp-is-null (car c))) | |
1515 | (setq c (cdr c))) | |
1516 | (and c (math-comp-last-char (car c))))) | |
1517 | ((eq (car c) 'tag) | |
bf77c646 | 1518 | (math-comp-last-char (nth 2 c))))) |
136211a9 EZ |
1519 | |
1520 | (defun math-comp-is-null (c) | |
1521 | (cond ((stringp c) (= (length c) 0)) | |
1522 | ((memq (car c) '(horiz subscr supscr)) | |
1523 | (while (and (setq c (cdr c)) | |
1524 | (math-comp-is-null (car c)))) | |
1525 | (null c)) | |
1526 | ((eq (car c) 'tag) | |
1527 | (math-comp-is-null (nth 2 c))) | |
bf77c646 | 1528 | ((memq (car c) '(set break)) t))) |
136211a9 EZ |
1529 | |
1530 | (defun math-comp-width (c) | |
1531 | (cond ((not (consp c)) (length c)) | |
1532 | ((memq (car c) '(horiz subscr supscr)) | |
1533 | (let ((accum 0)) | |
1534 | (while (setq c (cdr c)) | |
1535 | (setq accum (+ accum (math-comp-width (car c))))) | |
1536 | accum)) | |
1537 | ((memq (car c) '(vcent vleft vright)) | |
1538 | (setq c (cdr c)) | |
1539 | (let ((accum 0)) | |
1540 | (while (setq c (cdr c)) | |
1541 | (setq accum (max accum (math-comp-width (car c))))) | |
1542 | accum)) | |
1543 | ((eq (car c) 'tag) | |
1544 | (math-comp-width (nth 2 c))) | |
bf77c646 | 1545 | (t 0))) |
136211a9 EZ |
1546 | |
1547 | (defun math-comp-height (c) | |
1548 | (if (stringp c) | |
1549 | 1 | |
bf77c646 | 1550 | (+ (math-comp-ascent c) (math-comp-descent c)))) |
136211a9 EZ |
1551 | |
1552 | (defun math-comp-ascent (c) | |
1553 | (cond ((not (consp c)) 1) | |
1554 | ((eq (car c) 'horiz) | |
1555 | (let ((accum 0)) | |
1556 | (while (setq c (cdr c)) | |
1557 | (setq accum (max accum (math-comp-ascent (car c))))) | |
1558 | accum)) | |
1559 | ((memq (car c) '(vcent vleft vright)) | |
1560 | (if (> (nth 1 c) 0) (1+ (nth 1 c)) 1)) | |
1561 | ((eq (car c) 'supscr) | |
1562 | (max (math-comp-ascent (nth 1 c)) (1+ (math-comp-height (nth 2 c))))) | |
1563 | ((eq (car c) 'subscr) | |
1564 | (math-comp-ascent (nth 1 c))) | |
1565 | ((eq (car c) 'tag) | |
1566 | (math-comp-ascent (nth 2 c))) | |
bf77c646 | 1567 | (t 1))) |
136211a9 EZ |
1568 | |
1569 | (defun math-comp-descent (c) | |
1570 | (cond ((not (consp c)) 0) | |
1571 | ((eq (car c) 'horiz) | |
1572 | (let ((accum 0)) | |
1573 | (while (setq c (cdr c)) | |
1574 | (setq accum (max accum (math-comp-descent (car c))))) | |
1575 | accum)) | |
1576 | ((memq (car c) '(vcent vleft vright)) | |
1577 | (let ((accum (- (nth 1 c)))) | |
1578 | (setq c (cdr c)) | |
1579 | (while (setq c (cdr c)) | |
1580 | (setq accum (+ accum (math-comp-height (car c))))) | |
1581 | (max (1- accum) 0))) | |
1582 | ((eq (car c) 'supscr) | |
1583 | (math-comp-descent (nth 1 c))) | |
1584 | ((eq (car c) 'subscr) | |
1585 | (+ (math-comp-descent (nth 1 c)) (math-comp-height (nth 2 c)))) | |
1586 | ((eq (car c) 'tag) | |
1587 | (math-comp-descent (nth 2 c))) | |
bf77c646 | 1588 | (t 0))) |
136211a9 EZ |
1589 | |
1590 | (defun calcFunc-cwidth (a &optional prec) | |
1591 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
bf77c646 | 1592 | (math-comp-width (math-compose-expr a (or prec 0)))) |
136211a9 EZ |
1593 | |
1594 | (defun calcFunc-cheight (a &optional prec) | |
1595 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
1596 | (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
1597 | (memq (length a) '(2 3)) | |
1598 | (eq (nth 1 a) 0)) | |
1599 | 0 | |
bf77c646 | 1600 | (math-comp-height (math-compose-expr a (or prec 0))))) |
136211a9 EZ |
1601 | |
1602 | (defun calcFunc-cascent (a &optional prec) | |
1603 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
1604 | (if (and (memq (car a) '(calcFunc-cvspace calcFunc-ctspace calcFunc-cbspace)) | |
1605 | (memq (length a) '(2 3)) | |
1606 | (eq (nth 1 a) 0)) | |
1607 | 0 | |
bf77c646 | 1608 | (math-comp-ascent (math-compose-expr a (or prec 0))))) |
136211a9 EZ |
1609 | |
1610 | (defun calcFunc-cdescent (a &optional prec) | |
1611 | (if (and prec (not (integerp prec))) (math-reject-arg prec 'fixnump)) | |
bf77c646 | 1612 | (math-comp-descent (math-compose-expr a (or prec 0)))) |
136211a9 EZ |
1613 | |
1614 | ||
1615 | ;;; Convert a simplified composition into string form. | |
1616 | ||
1617 | (defun math-vert-comp-to-string (c) | |
1618 | (if (stringp c) | |
1619 | c | |
bf77c646 | 1620 | (math-vert-comp-to-string-step (cdr (cdr c))))) |
136211a9 EZ |
1621 | |
1622 | (defun math-vert-comp-to-string-step (c) | |
1623 | (if (cdr c) | |
1624 | (concat (car c) "\n" (math-vert-comp-to-string-step (cdr c))) | |
bf77c646 | 1625 | (car c))) |
136211a9 EZ |
1626 | |
1627 | ||
1628 | ;;; Convert a composition to a string in "raw" form (for debugging). | |
1629 | ||
1630 | (defun math-comp-to-string-raw (c indent) | |
1631 | (cond ((or (not (consp c)) (eq (car c) 'set)) | |
1632 | (prin1-to-string c)) | |
1633 | ((null (cdr c)) | |
1634 | (concat "(" (symbol-name (car c)) ")")) | |
1635 | (t | |
1636 | (let ((next-indent (+ indent 2 (length (symbol-name (car c)))))) | |
1637 | (concat "(" | |
1638 | (symbol-name (car c)) | |
1639 | " " | |
1640 | (math-comp-to-string-raw (nth 1 c) next-indent) | |
1641 | (math-comp-to-string-raw-step (cdr (cdr c)) | |
1642 | next-indent) | |
bf77c646 | 1643 | ")"))))) |
136211a9 EZ |
1644 | |
1645 | (defun math-comp-to-string-raw-step (cl indent) | |
1646 | (if cl | |
1647 | (concat "\n" | |
1648 | (make-string indent 32) | |
1649 | (math-comp-to-string-raw (car cl) indent) | |
1650 | (math-comp-to-string-raw-step (cdr cl) indent)) | |
bf77c646 | 1651 | "")) |
136211a9 | 1652 | |
cfd31ee4 JB |
1653 | (provide 'calccomp) |
1654 | ||
ab5796a9 | 1655 | ;;; arch-tag: 7c45d10a-a286-4dab-af49-7ae8989fbf78 |
bf77c646 | 1656 | ;;; calccomp.el ends here |