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1 ;;; calc-misc.el --- miscellaenous functions for Calc
2
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001 Free Software Foundation, Inc.
4
5 ;; Author: David Gillespie <daveg@synaptics.com>
6 ;; Maintainer: Colin Walters <walters@debian.org>
7
8 ;; This file is part of GNU Emacs.
9
10 ;; GNU Emacs is distributed in the hope that it will be useful,
11 ;; but WITHOUT ANY WARRANTY. No author or distributor
12 ;; accepts responsibility to anyone for the consequences of using it
13 ;; or for whether it serves any particular purpose or works at all,
14 ;; unless he says so in writing. Refer to the GNU Emacs General Public
15 ;; License for full details.
16
17 ;; Everyone is granted permission to copy, modify and redistribute
18 ;; GNU Emacs, but only under the conditions described in the
19 ;; GNU Emacs General Public License. A copy of this license is
20 ;; supposed to have been given to you along with GNU Emacs so you
21 ;; can know your rights and responsibilities. It should be in a
22 ;; file named COPYING. Among other things, the copyright notice
23 ;; and this notice must be preserved on all copies.
24
25 ;;; Commentary:
26
27 ;;; Code:
28
29 ;; This file is autoloaded from calc.el.
30 (require 'calc)
31
32 (require 'calc-macs)
33
34 (defun calc-Need-calc-misc () nil)
35
36
37 (defun calc-dispatch-help (arg)
38 "M-# is a prefix key; follow it with one of these letters:
39
40 For turning Calc on and off:
41 C calc. Start the Calculator in a window at the bottom of the screen.
42 O calc-other-window. Start the Calculator but don't select its window.
43 B calc-big-or-small. Control whether to use the full Emacs screen for Calc.
44 Q quick-calc. Use the Calculator in the minibuffer.
45 K calc-keypad. Start the Calculator in keypad mode (X window system only).
46 E calc-embedded. Use the Calculator on a formula in this editing buffer.
47 J calc-embedded-select. Like E, but select appropriate half of => or :=.
48 W calc-embedded-word. Like E, but activate a single word, i.e., a number.
49 Z calc-user-invocation. Invoke Calc in the way you defined with `Z I' cmd.
50 X calc-quit. Turn Calc off.
51
52 For moving data into and out of Calc:
53 G calc-grab-region. Grab the region defined by mark and point into Calc.
54 R calc-grab-rectangle. Grab the rectangle defined by mark, point into Calc.
55 : calc-grab-sum-down. Grab a rectangle and sum the columns.
56 _ calc-grab-sum-across. Grab a rectangle and sum the rows.
57 Y calc-copy-to-buffer. Copy a value from the stack into the editing buffer.
58
59 For use with Embedded mode:
60 A calc-embedded-activate. Find and activate all :='s and =>'s in buffer.
61 D calc-embedded-duplicate. Make a copy of this formula and select it.
62 F calc-embedded-new-formula. Insert a new formula at current point.
63 N calc-embedded-next. Advance cursor to next known formula in buffer.
64 P calc-embedded-previous. Advance cursor to previous known formula.
65 U calc-embedded-update-formula. Re-evaluate formula at point.
66 ` calc-embedded-edit. Use calc-edit to edit formula at point.
67
68 Documentation:
69 I calc-info. Read the Calculator manual in the Emacs Info system.
70 T calc-tutorial. Run the Calculator Tutorial using the Emacs Info system.
71 S calc-summary. Read the Summary from the Calculator manual in Info.
72
73 Miscellaneous:
74 L calc-load-everything. Load all parts of the Calculator into memory.
75 M read-kbd-macro. Read a region of keystroke names as a keyboard macro.
76 0 (zero) calc-reset. Reset Calc stack and modes to default state.
77
78 Press twice (`M-# M-#' or `M-# #') to turn Calc on or off using the same
79 Calc user interface as before (either M-# C or M-# K; initially M-# C)."
80 (interactive "P")
81 (calc-check-defines)
82 (if calc-dispatch-help
83 (progn
84 (save-window-excursion
85 (describe-function 'calc-dispatch-help)
86 (let ((win (get-buffer-window "*Help*")))
87 (if win
88 (let (key)
89 (select-window win)
90 (while (progn
91 (message "Calc options: Calc, Keypad, ... %s"
92 "press SPC, DEL to scroll, C-g to cancel")
93 (memq (car (setq key (calc-read-key t)))
94 '(? ?\C-h ?\C-? ?\C-v ?\M-v)))
95 (condition-case err
96 (if (memq (car key) '(? ?\C-v))
97 (scroll-up)
98 (scroll-down))
99 (error (beep))))
100 (calc-unread-command (cdr key))))))
101 (calc-do-dispatch nil))
102 (let ((calc-dispatch-help t))
103 (calc-do-dispatch arg))))
104
105
106 (defun calc-big-or-small (arg)
107 "Toggle Calc between full-screen and regular mode."
108 (interactive "P")
109 (let ((cwin (get-buffer-window "*Calculator*"))
110 (twin (get-buffer-window "*Calc Trail*"))
111 (kwin (get-buffer-window "*Calc Keypad*")))
112 (if cwin
113 (setq calc-full-mode
114 (if kwin
115 (and twin (eq (window-width twin) (frame-width)))
116 (eq (window-height cwin) (1- (frame-height))))))
117 (setq calc-full-mode (if arg
118 (> (prefix-numeric-value arg) 0)
119 (not calc-full-mode)))
120 (if kwin
121 (progn
122 (calc-quit)
123 (calc-do-keypad calc-full-mode nil))
124 (if cwin
125 (progn
126 (calc-quit)
127 (calc nil calc-full-mode nil))))
128 (message (if calc-full-mode
129 "Now using full screen for Calc"
130 "Now using partial screen for Calc"))))
131
132 (defun calc-other-window ()
133 "Invoke the Calculator in another window."
134 (interactive)
135 (if (memq major-mode '(calc-mode calc-trail-mode))
136 (progn
137 (other-window 1)
138 (if (memq major-mode '(calc-mode calc-trail-mode))
139 (other-window 1)))
140 (if (get-buffer-window "*Calculator*")
141 (calc-quit)
142 (let ((win (selected-window)))
143 (calc nil win (interactive-p))))))
144
145 (defun another-calc ()
146 "Create another, independent Calculator buffer."
147 (interactive)
148 (if (eq major-mode 'calc-mode)
149 (mapcar (function
150 (lambda (v)
151 (set-default v (symbol-value v)))) calc-local-var-list))
152 (set-buffer (generate-new-buffer "*Calculator*"))
153 (pop-to-buffer (current-buffer))
154 (calc-mode))
155
156 (defun calc-info ()
157 "Run the Emacs Info system on the Calculator documentation."
158 (interactive)
159 (select-window (get-largest-window))
160 (info "Calc"))
161
162 (defun calc-tutorial ()
163 "Run the Emacs Info system on the Calculator Tutorial."
164 (interactive)
165 (if (get-buffer-window "*Calculator*")
166 (calc-quit))
167 (calc-info)
168 (Info-goto-node "Interactive Tutorial")
169 (calc-other-window)
170 (message "Welcome to the Calc Tutorial!"))
171
172 (defun calc-info-summary ()
173 "Run the Emacs Info system on the Calculator Summary."
174 (interactive)
175 (calc-info)
176 (Info-goto-node "Summary"))
177
178 (defun calc-help ()
179 (interactive)
180 (let ((msgs (append
181 '("Press `h' for complete help; press `?' repeatedly for a summary"
182 "Letter keys: Negate; Precision; Yank; Why; Xtended cmd; Quit"
183 "Letter keys: SHIFT + Undo, reDo; Keep-args; Inverse, Hyperbolic"
184 "Letter keys: SHIFT + sQrt; Sin, Cos, Tan; Exp, Ln, logB"
185 "Letter keys: SHIFT + Floor, Round; Abs, conJ, arG; Pi"
186 "Letter keys: SHIFT + Num-eval; More-recn; eXec-kbd-macro"
187 "Other keys: +, -, *, /, ^, \\ (int div), : (frac div)"
188 "Other keys: & (1/x), | (concat), % (modulo), ! (factorial)"
189 "Other keys: ' (alg-entry), = (eval), ` (edit); M-RET (last-args)"
190 "Other keys: SPC/RET (enter/dup), LFD (over); < > (scroll horiz)"
191 "Other keys: DEL (drop), M-DEL (drop-above); { } (scroll vert)"
192 "Other keys: TAB (swap/roll-dn), M-TAB (roll-up)"
193 "Other keys: [ , ; ] (vector), ( , ) (complex), ( ; ) (polar)"
194 "Prefix keys: Algebra, Binary/business, Convert, Display"
195 "Prefix keys: Functions, Graphics, Help, J (select)"
196 "Prefix keys: Kombinatorics/statistics, Modes, Store/recall"
197 "Prefix keys: Trail/time, Units/statistics, Vector/matrix"
198 "Prefix keys: Z (user), SHIFT + Z (define)"
199 "Prefix keys: prefix + ? gives further help for that prefix")
200 (list (format
201 " Calc %s by Dave Gillespie, daveg@synaptics.com"
202 calc-version)))))
203 (if calc-full-help-flag
204 msgs
205 (if (or calc-inverse-flag calc-hyperbolic-flag)
206 (if calc-inverse-flag
207 (if calc-hyperbolic-flag
208 (calc-inv-hyp-prefix-help)
209 (calc-inverse-prefix-help))
210 (calc-hyperbolic-prefix-help))
211 (setq calc-help-phase
212 (if (eq this-command last-command)
213 (% (1+ calc-help-phase) (1+ (length msgs)))
214 0))
215 (let ((msg (nth calc-help-phase msgs)))
216 (message "%s" (if msg
217 (concat msg ":"
218 (make-string (- (apply 'max
219 (mapcar 'length
220 msgs))
221 (length msg)) 32)
222 " [?=MORE]")
223 "")))))))
224
225
226
227
228 ;;;; Stack and buffer management.
229
230
231 (defun calc-do-handle-whys ()
232 (setq calc-why (sort calc-next-why
233 (function
234 (lambda (x y)
235 (and (eq (car x) '*) (not (eq (car y) '*))))))
236 calc-next-why nil)
237 (if (and calc-why (or (eq calc-auto-why t)
238 (and (eq (car (car calc-why)) '*)
239 calc-auto-why)))
240 (progn
241 (calc-extensions)
242 (calc-explain-why (car calc-why)
243 (if (eq calc-auto-why t)
244 (cdr calc-why)
245 (if calc-auto-why
246 (eq (car (nth 1 calc-why)) '*))))
247 (setq calc-last-why-command this-command)
248 (calc-clear-command-flag 'clear-message))))
249
250 (defun calc-record-why (&rest stuff)
251 (if (eq (car stuff) 'quiet)
252 (setq stuff (cdr stuff))
253 (if (and (symbolp (car stuff))
254 (cdr stuff)
255 (or (Math-objectp (nth 1 stuff))
256 (and (Math-vectorp (nth 1 stuff))
257 (math-constp (nth 1 stuff)))
258 (math-infinitep (nth 1 stuff))))
259 (setq stuff (cons '* stuff))
260 (if (and (stringp (car stuff))
261 (string-match "\\`\\*" (car stuff)))
262 (setq stuff (cons '* (cons (substring (car stuff) 1)
263 (cdr stuff)))))))
264 (setq calc-next-why (cons stuff calc-next-why))
265 nil)
266
267 ;;; True if A is a constant or vector of constants. [P x] [Public]
268 (defun math-constp (a)
269 (or (Math-scalarp a)
270 (and (memq (car a) '(sdev intv mod vec))
271 (progn
272 (while (and (setq a (cdr a))
273 (or (Math-scalarp (car a)) ; optimization
274 (math-constp (car a)))))
275 (null a)))))
276
277
278 (defun calc-roll-down-stack (n &optional m)
279 (if (< n 0)
280 (calc-roll-up-stack (- n) m)
281 (if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
282 (or m (setq m 1))
283 (and (> n 1)
284 (< m n)
285 (if (and calc-any-selections
286 (not calc-use-selections))
287 (calc-roll-down-with-selections n m)
288 (calc-pop-push-list n
289 (append (calc-top-list m 1)
290 (calc-top-list (- n m) (1+ m))))))))
291
292 (defun calc-roll-up-stack (n &optional m)
293 (if (< n 0)
294 (calc-roll-down-stack (- n) m)
295 (if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
296 (or m (setq m 1))
297 (and (> n 1)
298 (< m n)
299 (if (and calc-any-selections
300 (not calc-use-selections))
301 (calc-roll-up-with-selections n m)
302 (calc-pop-push-list n
303 (append (calc-top-list (- n m) 1)
304 (calc-top-list m (- n m -1))))))))
305
306
307 (defun calc-do-refresh ()
308 (if calc-hyperbolic-flag
309 (progn
310 (setq calc-display-dirty t)
311 nil)
312 (calc-refresh)
313 t))
314
315
316 (defun calc-record-list (vals &optional prefix)
317 (while vals
318 (or (eq (car vals) 'top-of-stack)
319 (progn
320 (calc-record (car vals) prefix)
321 (setq prefix "...")))
322 (setq vals (cdr vals))))
323
324
325 (defun calc-last-args-stub (arg)
326 (interactive "p")
327 (calc-extensions)
328 (calc-last-args arg))
329
330
331 (defun calc-power (arg)
332 (interactive "P")
333 (calc-slow-wrapper
334 (if (and calc-extensions-loaded
335 (calc-is-inverse))
336 (calc-binary-op "root" 'calcFunc-nroot arg nil nil)
337 (calc-binary-op "^" 'calcFunc-pow arg nil nil '^))))
338
339 (defun calc-mod (arg)
340 (interactive "P")
341 (calc-slow-wrapper
342 (calc-binary-op "%" 'calcFunc-mod arg nil nil '%)))
343
344 (defun calc-inv (arg)
345 (interactive "P")
346 (calc-slow-wrapper
347 (calc-unary-op "inv" 'calcFunc-inv arg)))
348
349 (defun calc-percent ()
350 (interactive)
351 (calc-slow-wrapper
352 (calc-pop-push-record-list
353 1 "%" (list (list 'calcFunc-percent (calc-top-n 1))))))
354
355
356 (defun calc-over (n)
357 (interactive "P")
358 (if n
359 (calc-enter (- (prefix-numeric-value n)))
360 (calc-enter -2)))
361
362
363 (defun calc-pop-above (n)
364 (interactive "P")
365 (if n
366 (calc-pop (- (prefix-numeric-value n)))
367 (calc-pop -2)))
368
369 (defun calc-roll-down (n)
370 (interactive "P")
371 (calc-wrapper
372 (let ((nn (prefix-numeric-value n)))
373 (cond ((null n)
374 (calc-roll-down-stack 2))
375 ((> nn 0)
376 (calc-roll-down-stack nn))
377 ((= nn 0)
378 (calc-pop-push-list (calc-stack-size)
379 (reverse
380 (calc-top-list (calc-stack-size)))))
381 (t
382 (calc-roll-down-stack (calc-stack-size) (- nn)))))))
383
384 (defun calc-roll-up (n)
385 (interactive "P")
386 (calc-wrapper
387 (let ((nn (prefix-numeric-value n)))
388 (cond ((null n)
389 (calc-roll-up-stack 3))
390 ((> nn 0)
391 (calc-roll-up-stack nn))
392 ((= nn 0)
393 (calc-pop-push-list (calc-stack-size)
394 (reverse
395 (calc-top-list (calc-stack-size)))))
396 (t
397 (calc-roll-up-stack (calc-stack-size) (- nn)))))))
398
399
400
401
402 ;;; Other commands.
403
404 (defun calc-num-prefix-name (n)
405 (cond ((eq n '-) "- ")
406 ((equal n '(4)) "C-u ")
407 ((consp n) (format "%d " (car n)))
408 ((integerp n) (format "%d " n))
409 (t "")))
410
411 (defun calc-missing-key (n)
412 "This is a placeholder for a command which needs to be loaded from calc-ext.
413 When this key is used, calc-ext (the Calculator extensions module) will be
414 loaded and the keystroke automatically re-typed."
415 (interactive "P")
416 (calc-extensions)
417 (if (keymapp (key-binding (char-to-string last-command-char)))
418 (message "%s%c-" (calc-num-prefix-name n) last-command-char))
419 (calc-unread-command)
420 (setq prefix-arg n))
421
422 (defun calc-shift-Y-prefix-help ()
423 (interactive)
424 (calc-extensions)
425 (calc-do-prefix-help calc-Y-help-msgs "other" ?Y))
426
427
428
429
430 (defun calcDigit-letter ()
431 (interactive)
432 (if (calc-minibuffer-contains "[-+]?\\(1[1-9]\\|[2-9][0-9]\\)#.*")
433 (progn
434 (setq last-command-char (upcase last-command-char))
435 (calcDigit-key))
436 (calcDigit-nondigit)))
437
438
439 ;; A Lisp version of temp_minibuffer_message from minibuf.c.
440 (defun calc-temp-minibuffer-message (m)
441 (let ((savemax (point-max)))
442 (save-excursion
443 (goto-char (point-max))
444 (insert m))
445 (let ((okay nil))
446 (unwind-protect
447 (progn
448 (sit-for 2)
449 (identity 1) ; this forces a call to QUIT; in bytecode.c.
450 (setq okay t))
451 (progn
452 (delete-region savemax (point-max))
453 (or okay (abort-recursive-edit)))))))
454
455
456 (put 'math-with-extra-prec 'lisp-indent-hook 1)
457
458
459 ;;; Concatenate two vectors, or a vector and an object. [V O O] [Public]
460 (defun math-concat (v1 v2)
461 (if (stringp v1)
462 (concat v1 v2)
463 (calc-extensions)
464 (if (and (or (math-objvecp v1) (math-known-scalarp v1))
465 (or (math-objvecp v2) (math-known-scalarp v2)))
466 (append (if (and (math-vectorp v1)
467 (or (math-matrixp v1)
468 (not (math-matrixp v2))))
469 v1
470 (list 'vec v1))
471 (if (and (math-vectorp v2)
472 (or (math-matrixp v2)
473 (not (math-matrixp v1))))
474 (cdr v2)
475 (list v2)))
476 (list '| v1 v2))))
477
478
479 ;;; True if A is zero. Works for un-normalized values. [P n] [Public]
480 (defun math-zerop (a)
481 (if (consp a)
482 (cond ((memq (car a) '(bigpos bigneg))
483 (while (eq (car (setq a (cdr a))) 0))
484 (null a))
485 ((memq (car a) '(frac float polar mod))
486 (math-zerop (nth 1 a)))
487 ((eq (car a) 'cplx)
488 (and (math-zerop (nth 1 a)) (math-zerop (nth 2 a))))
489 ((eq (car a) 'hms)
490 (and (math-zerop (nth 1 a))
491 (math-zerop (nth 2 a))
492 (math-zerop (nth 3 a)))))
493 (eq a 0)))
494
495
496 ;;; True if A is real and negative. [P n] [Public]
497
498 (defun math-negp (a)
499 (if (consp a)
500 (cond ((eq (car a) 'bigpos) nil)
501 ((eq (car a) 'bigneg) (cdr a))
502 ((memq (car a) '(float frac))
503 (Math-integer-negp (nth 1 a)))
504 ((eq (car a) 'hms)
505 (if (math-zerop (nth 1 a))
506 (if (math-zerop (nth 2 a))
507 (math-negp (nth 3 a))
508 (math-negp (nth 2 a)))
509 (math-negp (nth 1 a))))
510 ((eq (car a) 'date)
511 (math-negp (nth 1 a)))
512 ((eq (car a) 'intv)
513 (or (math-negp (nth 3 a))
514 (and (math-zerop (nth 3 a))
515 (memq (nth 1 a) '(0 2)))))
516 ((equal a '(neg (var inf var-inf))) t))
517 (< a 0)))
518
519 ;;; True if A is a negative number or an expression the starts with '-'.
520 (defun math-looks-negp (a) ; [P x] [Public]
521 (or (Math-negp a)
522 (eq (car-safe a) 'neg)
523 (and (memq (car-safe a) '(* /))
524 (or (math-looks-negp (nth 1 a))
525 (math-looks-negp (nth 2 a))))
526 (and (eq (car-safe a) '-)
527 (math-looks-negp (nth 1 a)))))
528
529
530 ;;; True if A is real and positive. [P n] [Public]
531 (defun math-posp (a)
532 (if (consp a)
533 (cond ((eq (car a) 'bigpos) (cdr a))
534 ((eq (car a) 'bigneg) nil)
535 ((memq (car a) '(float frac))
536 (Math-integer-posp (nth 1 a)))
537 ((eq (car a) 'hms)
538 (if (math-zerop (nth 1 a))
539 (if (math-zerop (nth 2 a))
540 (math-posp (nth 3 a))
541 (math-posp (nth 2 a)))
542 (math-posp (nth 1 a))))
543 ((eq (car a) 'date)
544 (math-posp (nth 1 a)))
545 ((eq (car a) 'mod)
546 (not (math-zerop (nth 1 a))))
547 ((eq (car a) 'intv)
548 (or (math-posp (nth 2 a))
549 (and (math-zerop (nth 2 a))
550 (memq (nth 1 a) '(0 1)))))
551 ((equal a '(var inf var-inf)) t))
552 (> a 0)))
553
554 (defalias 'math-fixnump 'integerp)
555 (defalias 'math-fixnatnump 'natnump)
556
557
558 ;;; True if A is an even integer. [P R R] [Public]
559 (defun math-evenp (a)
560 (if (consp a)
561 (and (memq (car a) '(bigpos bigneg))
562 (= (% (nth 1 a) 2) 0))
563 (= (% a 2) 0)))
564
565 ;;; Compute A / 2, for small or big integer A. [I i]
566 ;;; If A is negative, type of truncation is undefined.
567 (defun math-div2 (a)
568 (if (consp a)
569 (if (cdr a)
570 (math-normalize (cons (car a) (math-div2-bignum (cdr a))))
571 0)
572 (/ a 2)))
573
574 (defun math-div2-bignum (a) ; [l l]
575 (if (cdr a)
576 (cons (+ (/ (car a) 2) (* (% (nth 1 a) 2) 500))
577 (math-div2-bignum (cdr a)))
578 (list (/ (car a) 2))))
579
580
581 ;;; Reject an argument to a calculator function. [Public]
582 (defun math-reject-arg (&optional a p option)
583 (if option
584 (calc-record-why option p a)
585 (if p
586 (calc-record-why p a)))
587 (signal 'wrong-type-argument (and a (if p (list p a) (list a)))))
588
589
590 ;;; Coerce A to be an integer (by truncation toward zero). [I N] [Public]
591 (defun math-trunc (a &optional prec)
592 (cond (prec
593 (calc-extensions)
594 (math-trunc-special a prec))
595 ((Math-integerp a) a)
596 ((Math-looks-negp a)
597 (math-neg (math-trunc (math-neg a))))
598 ((eq (car a) 'float)
599 (math-scale-int (nth 1 a) (nth 2 a)))
600 (t (calc-extensions)
601 (math-trunc-fancy a))))
602 (defalias 'calcFunc-trunc 'math-trunc)
603
604 ;;; Coerce A to be an integer (by truncation toward minus infinity). [I N]
605 (defun math-floor (a &optional prec) ; [Public]
606 (cond (prec
607 (calc-extensions)
608 (math-floor-special a prec))
609 ((Math-integerp a) a)
610 ((Math-messy-integerp a) (math-trunc a))
611 ((Math-realp a)
612 (if (Math-negp a)
613 (math-add (math-trunc a) -1)
614 (math-trunc a)))
615 (t (calc-extensions)
616 (math-floor-fancy a))))
617 (defalias 'calcFunc-floor 'math-floor)
618
619
620 (defun math-imod (a b) ; [I I I] [Public]
621 (if (and (not (consp a)) (not (consp b)))
622 (if (= b 0)
623 (math-reject-arg a "*Division by zero")
624 (% a b))
625 (cdr (math-idivmod a b))))
626
627
628 (defun calcFunc-inv (m)
629 (if (Math-vectorp m)
630 (progn
631 (calc-extensions)
632 (if (math-square-matrixp m)
633 (or (math-with-extra-prec 2 (math-matrix-inv-raw m))
634 (math-reject-arg m "*Singular matrix"))
635 (math-reject-arg m 'square-matrixp)))
636 (math-div 1 m)))
637
638
639 (defun math-do-working (msg arg)
640 (or executing-kbd-macro
641 (progn
642 (calc-set-command-flag 'clear-message)
643 (if math-working-step
644 (if math-working-step-2
645 (setq msg (format "[%d/%d] %s"
646 math-working-step math-working-step-2 msg))
647 (setq msg (format "[%d] %s" math-working-step msg))))
648 (message "Working... %s = %s" msg
649 (math-showing-full-precision (math-format-number arg))))))
650
651
652 ;;; Compute A modulo B, defined in terms of truncation toward minus infinity.
653 (defun math-mod (a b) ; [R R R] [Public]
654 (cond ((and (Math-zerop a) (not (eq (car-safe a) 'mod))) a)
655 ((Math-zerop b)
656 (math-reject-arg a "*Division by zero"))
657 ((and (Math-natnump a) (Math-natnump b))
658 (math-imod a b))
659 ((and (Math-anglep a) (Math-anglep b))
660 (math-sub a (math-mul (math-floor (math-div a b)) b)))
661 (t (calc-extensions)
662 (math-mod-fancy a b))))
663
664
665
666 ;;; General exponentiation.
667
668 (defun math-pow (a b) ; [O O N] [Public]
669 (cond ((equal b '(var nan var-nan))
670 b)
671 ((Math-zerop a)
672 (if (and (Math-scalarp b) (Math-posp b))
673 (if (math-floatp b) (math-float a) a)
674 (calc-extensions)
675 (math-pow-of-zero a b)))
676 ((or (eq a 1) (eq b 1)) a)
677 ((or (equal a '(float 1 0)) (equal b '(float 1 0))) a)
678 ((Math-zerop b)
679 (if (Math-scalarp a)
680 (if (or (math-floatp a) (math-floatp b))
681 '(float 1 0) 1)
682 (calc-extensions)
683 (math-pow-zero a b)))
684 ((and (Math-integerp b) (or (Math-numberp a) (Math-vectorp a)))
685 (if (and (equal a '(float 1 1)) (integerp b))
686 (math-make-float 1 b)
687 (math-with-extra-prec 2
688 (math-ipow a b))))
689 (t
690 (calc-extensions)
691 (math-pow-fancy a b))))
692
693 (defun math-ipow (a n) ; [O O I] [Public]
694 (cond ((Math-integer-negp n)
695 (math-ipow (math-div 1 a) (Math-integer-neg n)))
696 ((not (consp n))
697 (if (and (Math-ratp a) (> n 20))
698 (math-iipow-show a n)
699 (math-iipow a n)))
700 ((math-evenp n)
701 (math-ipow (math-mul a a) (math-div2 n)))
702 (t
703 (math-mul a (math-ipow (math-mul a a)
704 (math-div2 (math-add n -1)))))))
705
706 (defun math-iipow (a n) ; [O O S]
707 (cond ((= n 0) 1)
708 ((= n 1) a)
709 ((= (% n 2) 0) (math-iipow (math-mul a a) (/ n 2)))
710 (t (math-mul a (math-iipow (math-mul a a) (/ n 2))))))
711
712 (defun math-iipow-show (a n) ; [O O S]
713 (math-working "pow" a)
714 (let ((val (cond
715 ((= n 0) 1)
716 ((= n 1) a)
717 ((= (% n 2) 0) (math-iipow-show (math-mul a a) (/ n 2)))
718 (t (math-mul a (math-iipow-show (math-mul a a) (/ n 2)))))))
719 (math-working "pow" val)
720 val))
721
722
723 (defun math-read-radix-digit (dig) ; [D S; Z S]
724 (if (> dig ?9)
725 (if (< dig ?A)
726 nil
727 (- dig 55))
728 (if (>= dig ?0)
729 (- dig ?0)
730 nil)))
731
732
733 ;;; Bug reporting
734
735 (defun report-calc-bug ()
736 "Report a bug in Calc, the GNU Emacs calculator.
737 Prompts for bug subject. Leaves you in a mail buffer."
738 (interactive)
739 (let ((reporter-prompt-for-summary-p t))
740 (reporter-submit-bug-report calc-bug-address "Calc" '(calc-version)
741 nil nil
742 "Please describe exactly what actions triggered the bug and the
743 precise symptoms of the bug. If possible, include a backtrace by
744 doing 'M-x toggle-debug-on-error', then reproducing the bug.
745 " )))
746 (defalias 'calc-report-bug 'report-calc-bug)
747
748 ;;; calc-misc.el ends here