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[bpt/emacs.git] / lisp / calc / calc-misc.el
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21adaa28 1;;; calc-misc.el --- miscellaneous functions for Calc
dac12d80 2
58ba2f8f 3;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004
ae940284 4;; 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
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5
6;; Author: David Gillespie <daveg@synaptics.com>
e8fff8ed 7;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
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8
9;; This file is part of GNU Emacs.
10
662c9c64 11;; GNU Emacs is free software: you can redistribute it and/or modify
7c671b23 12;; it under the terms of the GNU General Public License as published by
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13;; the Free Software Foundation, either version 3 of the License, or
14;; (at your option) any later version.
7c671b23 15
136211a9 16;; GNU Emacs is distributed in the hope that it will be useful,
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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
662c9c64 22;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
136211a9 23
dac12d80 24;;; Commentary:
136211a9 25
dac12d80 26;;; Code:
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27
28;; This file is autoloaded from calc.el.
136211a9 29
877dc4f5 30(require 'calc)
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31(require 'calc-macs)
32
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33;; Declare functions which are defined elsewhere.
34(declare-function calc-do-keypad "calc-keypd" (&optional full-display interactive))
35(declare-function calc-inv-hyp-prefix-help "calc-help" ())
36(declare-function calc-inverse-prefix-help "calc-help" ())
37(declare-function calc-hyperbolic-prefix-help "calc-help" ())
38(declare-function calc-explain-why "calc-stuff" (why &optional more))
39(declare-function calc-clear-command-flag "calc-ext" (f))
40(declare-function calc-roll-down-with-selections "calc-sel" (n m))
41(declare-function calc-roll-up-with-selections "calc-sel" (n m))
42(declare-function calc-last-args "calc-undo" (n))
43(declare-function calc-is-inverse "calc-ext" ())
44(declare-function calc-do-prefix-help "calc-ext" (msgs group key))
45(declare-function math-objvecp "calc-ext" (a))
46(declare-function math-known-scalarp "calc-arith" (a &optional assume-scalar))
47(declare-function math-vectorp "calc-ext" (a))
48(declare-function math-matrixp "calc-ext" (a))
49(declare-function math-trunc-special "calc-arith" (a prec))
50(declare-function math-trunc-fancy "calc-arith" (a))
51(declare-function math-floor-special "calc-arith" (a prec))
52(declare-function math-floor-fancy "calc-arith" (a))
53(declare-function math-square-matrixp "calc-ext" (a))
54(declare-function math-matrix-inv-raw "calc-mtx" (m))
55(declare-function math-known-matrixp "calc-arith" (a))
56(declare-function math-mod-fancy "calc-arith" (a b))
57(declare-function math-pow-of-zero "calc-arith" (a b))
58(declare-function math-pow-zero "calc-arith" (a b))
59(declare-function math-pow-fancy "calc-arith" (a b))
60
61
2378f044 62;;;###autoload
136211a9 63(defun calc-dispatch-help (arg)
dcf4a535 64 "C-x* is a prefix key sequence; follow it with one of these letters:
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65
66For turning Calc on and off:
67 C calc. Start the Calculator in a window at the bottom of the screen.
68 O calc-other-window. Start the Calculator but don't select its window.
69 B calc-big-or-small. Control whether to use the full Emacs screen for Calc.
70 Q quick-calc. Use the Calculator in the minibuffer.
71 K calc-keypad. Start the Calculator in keypad mode (X window system only).
72 E calc-embedded. Use the Calculator on a formula in this editing buffer.
73 J calc-embedded-select. Like E, but select appropriate half of => or :=.
74 W calc-embedded-word. Like E, but activate a single word, i.e., a number.
75 Z calc-user-invocation. Invoke Calc in the way you defined with `Z I' cmd.
76 X calc-quit. Turn Calc off.
77
78For moving data into and out of Calc:
79 G calc-grab-region. Grab the region defined by mark and point into Calc.
80 R calc-grab-rectangle. Grab the rectangle defined by mark, point into Calc.
81 : calc-grab-sum-down. Grab a rectangle and sum the columns.
82 _ calc-grab-sum-across. Grab a rectangle and sum the rows.
83 Y calc-copy-to-buffer. Copy a value from the stack into the editing buffer.
84
85For use with Embedded mode:
86 A calc-embedded-activate. Find and activate all :='s and =>'s in buffer.
87 D calc-embedded-duplicate. Make a copy of this formula and select it.
88 F calc-embedded-new-formula. Insert a new formula at current point.
89 N calc-embedded-next. Advance cursor to next known formula in buffer.
90 P calc-embedded-previous. Advance cursor to previous known formula.
91 U calc-embedded-update-formula. Re-evaluate formula at point.
92 ` calc-embedded-edit. Use calc-edit to edit formula at point.
93
94Documentation:
95 I calc-info. Read the Calculator manual in the Emacs Info system.
96 T calc-tutorial. Run the Calculator Tutorial using the Emacs Info system.
97 S calc-summary. Read the Summary from the Calculator manual in Info.
98
99Miscellaneous:
100 L calc-load-everything. Load all parts of the Calculator into memory.
101 M read-kbd-macro. Read a region of keystroke names as a keyboard macro.
102 0 (zero) calc-reset. Reset Calc stack and modes to default state.
103
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104Press `*' twice (`C-x * *') to turn Calc on or off using the same
105Calc user interface as before (either C-x * C or C-x * K; initially C-x * C).
106"
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107 (interactive "P")
108 (calc-check-defines)
109 (if calc-dispatch-help
110 (progn
111 (save-window-excursion
112 (describe-function 'calc-dispatch-help)
113 (let ((win (get-buffer-window "*Help*")))
114 (if win
115 (let (key)
116 (select-window win)
117 (while (progn
118 (message "Calc options: Calc, Keypad, ... %s"
119 "press SPC, DEL to scroll, C-g to cancel")
120 (memq (car (setq key (calc-read-key t)))
121 '(? ?\C-h ?\C-? ?\C-v ?\M-v)))
122 (condition-case err
123 (if (memq (car key) '(? ?\C-v))
124 (scroll-up)
125 (scroll-down))
126 (error (beep))))
127 (calc-unread-command (cdr key))))))
128 (calc-do-dispatch nil))
129 (let ((calc-dispatch-help t))
60e4c5a7 130 (calc-do-dispatch arg))))
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131
132
2378f044 133;;;###autoload
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134(defun calc-big-or-small (arg)
135 "Toggle Calc between full-screen and regular mode."
136 (interactive "P")
137 (let ((cwin (get-buffer-window "*Calculator*"))
138 (twin (get-buffer-window "*Calc Trail*"))
139 (kwin (get-buffer-window "*Calc Keypad*")))
140 (if cwin
141 (setq calc-full-mode
142 (if kwin
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143 (and twin (eq (window-width twin) (frame-width)))
144 (eq (window-height cwin) (1- (frame-height))))))
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145 (setq calc-full-mode (if arg
146 (> (prefix-numeric-value arg) 0)
147 (not calc-full-mode)))
148 (if kwin
149 (progn
150 (calc-quit)
151 (calc-do-keypad calc-full-mode nil))
152 (if cwin
153 (progn
154 (calc-quit)
155 (calc nil calc-full-mode nil))))
156 (message (if calc-full-mode
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157 "Now using full screen for Calc"
158 "Now using partial screen for Calc"))))
136211a9 159
2378f044 160;;;###autoload
1f5a0f5d 161(defun calc-other-window (&optional interactive)
136211a9 162 "Invoke the Calculator in another window."
1f5a0f5d 163 (interactive "p")
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164 (if (memq major-mode '(calc-mode calc-trail-mode))
165 (progn
166 (other-window 1)
167 (if (memq major-mode '(calc-mode calc-trail-mode))
168 (other-window 1)))
169 (if (get-buffer-window "*Calculator*")
170 (calc-quit)
171 (let ((win (selected-window)))
1f5a0f5d 172 (calc nil win interactive)))))
136211a9 173
2378f044 174;;;###autoload
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175(defun another-calc ()
176 "Create another, independent Calculator buffer."
177 (interactive)
178 (if (eq major-mode 'calc-mode)
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179 (mapc (function
180 (lambda (v)
181 (set-default v (symbol-value v)))) calc-local-var-list))
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182 (set-buffer (generate-new-buffer "*Calculator*"))
183 (pop-to-buffer (current-buffer))
60e4c5a7 184 (calc-mode))
136211a9 185
2378f044 186;;;###autoload
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187(defun calc-info ()
188 "Run the Emacs Info system on the Calculator documentation."
189 (interactive)
136211a9 190 (select-window (get-largest-window))
b23d58ff 191 (info "Calc"))
136211a9 192
2378f044 193;;;###autoload
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194(defun calc-info-goto-node (node)
195 "Go to a node in the Calculator info documentation."
196 (interactive)
197 (select-window (get-largest-window))
1565a620 198 (info (concat "(Calc)" node)))
65ce291b 199
2378f044 200;;;###autoload
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201(defun calc-tutorial ()
202 "Run the Emacs Info system on the Calculator Tutorial."
203 (interactive)
204 (if (get-buffer-window "*Calculator*")
205 (calc-quit))
65ce291b 206 (calc-info-goto-node "Interactive Tutorial")
136211a9 207 (calc-other-window)
60e4c5a7 208 (message "Welcome to the Calc Tutorial!"))
136211a9 209
2378f044 210;;;###autoload
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211(defun calc-info-summary ()
212 "Run the Emacs Info system on the Calculator Summary."
213 (interactive)
65ce291b 214 (calc-info-goto-node "Summary"))
136211a9 215
2378f044 216;;;###autoload
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217(defun calc-help ()
218 (interactive)
77ba6df4 219 (let ((msgs
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220 '("Press `h' for complete help; press `?' repeatedly for a summary"
221 "Letter keys: Negate; Precision; Yank; Why; Xtended cmd; Quit"
222 "Letter keys: SHIFT + Undo, reDo; Keep-args; Inverse, Hyperbolic"
223 "Letter keys: SHIFT + sQrt; Sin, Cos, Tan; Exp, Ln, logB"
224 "Letter keys: SHIFT + Floor, Round; Abs, conJ, arG; Pi"
225 "Letter keys: SHIFT + Num-eval; More-recn; eXec-kbd-macro"
226 "Other keys: +, -, *, /, ^, \\ (int div), : (frac div)"
227 "Other keys: & (1/x), | (concat), % (modulo), ! (factorial)"
228 "Other keys: ' (alg-entry), = (eval), ` (edit); M-RET (last-args)"
229 "Other keys: SPC/RET (enter/dup), LFD (over); < > (scroll horiz)"
230 "Other keys: DEL (drop), M-DEL (drop-above); { } (scroll vert)"
231 "Other keys: TAB (swap/roll-dn), M-TAB (roll-up)"
232 "Other keys: [ , ; ] (vector), ( , ) (complex), ( ; ) (polar)"
233 "Prefix keys: Algebra, Binary/business, Convert, Display"
234 "Prefix keys: Functions, Graphics, Help, J (select)"
235 "Prefix keys: Kombinatorics/statistics, Modes, Store/recall"
236 "Prefix keys: Trail/time, Units/statistics, Vector/matrix"
237 "Prefix keys: Z (user), SHIFT + Z (define)"
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238 "Prefix keys: prefix + ? gives further help for that prefix"
239 " Calc by Dave Gillespie, daveg@synaptics.com")))
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240 (if calc-full-help-flag
241 msgs
242 (if (or calc-inverse-flag calc-hyperbolic-flag)
243 (if calc-inverse-flag
244 (if calc-hyperbolic-flag
245 (calc-inv-hyp-prefix-help)
246 (calc-inverse-prefix-help))
247 (calc-hyperbolic-prefix-help))
248 (setq calc-help-phase
249 (if (eq this-command last-command)
250 (% (1+ calc-help-phase) (1+ (length msgs)))
251 0))
252 (let ((msg (nth calc-help-phase msgs)))
253 (message "%s" (if msg
254 (concat msg ":"
255 (make-string (- (apply 'max
256 (mapcar 'length
257 msgs))
258 (length msg)) 32)
259 " [?=MORE]")
60e4c5a7 260 "")))))))
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261
262
263
264
265;;;; Stack and buffer management.
266
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267;; The variable calc-last-why-command is set in calc-do-handly-whys
268;; and used in calc-why (in calc-stuff.el).
269(defvar calc-last-why-command)
136211a9 270
2378f044 271;;;###autoload
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272(defun calc-do-handle-whys ()
273 (setq calc-why (sort calc-next-why
274 (function
275 (lambda (x y)
276 (and (eq (car x) '*) (not (eq (car y) '*))))))
277 calc-next-why nil)
278 (if (and calc-why (or (eq calc-auto-why t)
279 (and (eq (car (car calc-why)) '*)
280 calc-auto-why)))
281 (progn
c6d32405 282 (require 'calc-ext)
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283 (calc-explain-why (car calc-why)
284 (if (eq calc-auto-why t)
285 (cdr calc-why)
286 (if calc-auto-why
287 (eq (car (nth 1 calc-why)) '*))))
288 (setq calc-last-why-command this-command)
60e4c5a7 289 (calc-clear-command-flag 'clear-message))))
136211a9 290
2378f044 291;;;###autoload
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292(defun calc-record-why (&rest stuff)
293 (if (eq (car stuff) 'quiet)
294 (setq stuff (cdr stuff))
295 (if (and (symbolp (car stuff))
296 (cdr stuff)
297 (or (Math-objectp (nth 1 stuff))
298 (and (Math-vectorp (nth 1 stuff))
299 (math-constp (nth 1 stuff)))
300 (math-infinitep (nth 1 stuff))))
301 (setq stuff (cons '* stuff))
302 (if (and (stringp (car stuff))
303 (string-match "\\`\\*" (car stuff)))
304 (setq stuff (cons '* (cons (substring (car stuff) 1)
305 (cdr stuff)))))))
306 (setq calc-next-why (cons stuff calc-next-why))
60e4c5a7 307 nil)
136211a9 308
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309;; True if A is a constant or vector of constants. [P x] [Public]
310;;;###autoload
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311(defun math-constp (a)
312 (or (Math-scalarp a)
313 (and (memq (car a) '(sdev intv mod vec))
314 (progn
315 (while (and (setq a (cdr a))
316 (or (Math-scalarp (car a)) ; optimization
317 (math-constp (car a)))))
60e4c5a7 318 (null a)))))
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319
320
2378f044 321;;;###autoload
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322(defun calc-roll-down-stack (n &optional m)
323 (if (< n 0)
324 (calc-roll-up-stack (- n) m)
325 (if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
326 (or m (setq m 1))
327 (and (> n 1)
328 (< m n)
329 (if (and calc-any-selections
330 (not calc-use-selections))
331 (calc-roll-down-with-selections n m)
332 (calc-pop-push-list n
333 (append (calc-top-list m 1)
60e4c5a7 334 (calc-top-list (- n m) (1+ m))))))))
136211a9 335
2378f044 336;;;###autoload
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337(defun calc-roll-up-stack (n &optional m)
338 (if (< n 0)
339 (calc-roll-down-stack (- n) m)
340 (if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
341 (or m (setq m 1))
342 (and (> n 1)
343 (< m n)
344 (if (and calc-any-selections
345 (not calc-use-selections))
346 (calc-roll-up-with-selections n m)
347 (calc-pop-push-list n
348 (append (calc-top-list (- n m) 1)
60e4c5a7 349 (calc-top-list m (- n m -1))))))))
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350
351
2378f044 352;;;###autoload
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353(defun calc-do-refresh ()
354 (if calc-hyperbolic-flag
355 (progn
356 (setq calc-display-dirty t)
357 nil)
358 (calc-refresh)
60e4c5a7 359 t))
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360
361
2378f044 362;;;###autoload
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363(defun calc-record-list (vals &optional prefix)
364 (while vals
365 (or (eq (car vals) 'top-of-stack)
366 (progn
367 (calc-record (car vals) prefix)
368 (setq prefix "...")))
60e4c5a7 369 (setq vals (cdr vals))))
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370
371
2378f044 372;;;###autoload
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373(defun calc-last-args-stub (arg)
374 (interactive "p")
c6d32405 375 (require 'calc-ext)
60e4c5a7 376 (calc-last-args arg))
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377
378
2378f044 379;;;###autoload
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380(defun calc-power (arg)
381 (interactive "P")
382 (calc-slow-wrapper
c6d32405 383 (if (and (featurep 'calc-ext)
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384 (calc-is-inverse))
385 (calc-binary-op "root" 'calcFunc-nroot arg nil nil)
60e4c5a7 386 (calc-binary-op "^" 'calcFunc-pow arg nil nil '^))))
136211a9 387
2378f044 388;;;###autoload
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389(defun calc-mod (arg)
390 (interactive "P")
391 (calc-slow-wrapper
60e4c5a7 392 (calc-binary-op "%" 'calcFunc-mod arg nil nil '%)))
136211a9 393
2378f044 394;;;###autoload
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395(defun calc-inv (arg)
396 (interactive "P")
397 (calc-slow-wrapper
60e4c5a7 398 (calc-unary-op "inv" 'calcFunc-inv arg)))
136211a9 399
2378f044 400;;;###autoload
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401(defun calc-percent ()
402 (interactive)
403 (calc-slow-wrapper
404 (calc-pop-push-record-list
60e4c5a7 405 1 "%" (list (list 'calcFunc-percent (calc-top-n 1))))))
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406
407
2378f044 408;;;###autoload
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409(defun calc-over (n)
410 (interactive "P")
411 (if n
412 (calc-enter (- (prefix-numeric-value n)))
60e4c5a7 413 (calc-enter -2)))
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414
415
2378f044 416;;;###autoload
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417(defun calc-pop-above (n)
418 (interactive "P")
419 (if n
420 (calc-pop (- (prefix-numeric-value n)))
60e4c5a7 421 (calc-pop -2)))
136211a9 422
2378f044 423;;;###autoload
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424(defun calc-roll-down (n)
425 (interactive "P")
426 (calc-wrapper
427 (let ((nn (prefix-numeric-value n)))
428 (cond ((null n)
429 (calc-roll-down-stack 2))
430 ((> nn 0)
431 (calc-roll-down-stack nn))
432 ((= nn 0)
433 (calc-pop-push-list (calc-stack-size)
434 (reverse
435 (calc-top-list (calc-stack-size)))))
436 (t
60e4c5a7 437 (calc-roll-down-stack (calc-stack-size) (- nn)))))))
136211a9 438
2378f044 439;;;###autoload
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440(defun calc-roll-up (n)
441 (interactive "P")
442 (calc-wrapper
443 (let ((nn (prefix-numeric-value n)))
444 (cond ((null n)
445 (calc-roll-up-stack 3))
446 ((> nn 0)
447 (calc-roll-up-stack nn))
448 ((= nn 0)
449 (calc-pop-push-list (calc-stack-size)
450 (reverse
451 (calc-top-list (calc-stack-size)))))
452 (t
60e4c5a7 453 (calc-roll-up-stack (calc-stack-size) (- nn)))))))
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454
455
456
457
458;;; Other commands.
459
2378f044 460;;;###autoload
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461(defun calc-num-prefix-name (n)
462 (cond ((eq n '-) "- ")
463 ((equal n '(4)) "C-u ")
464 ((consp n) (format "%d " (car n)))
465 ((integerp n) (format "%d " n))
60e4c5a7 466 (t "")))
136211a9 467
2378f044 468;;;###autoload
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469(defun calc-missing-key (n)
470 "This is a placeholder for a command which needs to be loaded from calc-ext.
471When this key is used, calc-ext (the Calculator extensions module) will be
472loaded and the keystroke automatically re-typed."
473 (interactive "P")
c6d32405 474 (require 'calc-ext)
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475 (if (keymapp (key-binding (char-to-string last-command-event)))
476 (message "%s%c-" (calc-num-prefix-name n) last-command-event))
136211a9 477 (calc-unread-command)
60e4c5a7 478 (setq prefix-arg n))
136211a9 479
2378f044 480;;;###autoload
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481(defun calc-shift-Y-prefix-help ()
482 (interactive)
c6d32405 483 (require 'calc-ext)
60e4c5a7 484 (calc-do-prefix-help calc-Y-help-msgs "other" ?Y))
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485
486
487
488
2378f044 489;;;###autoload
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490(defun calcDigit-letter ()
491 (interactive)
492 (if (calc-minibuffer-contains "[-+]?\\(1[1-9]\\|[2-9][0-9]\\)#.*")
493 (progn
e93c003e 494 (setq last-command-event (upcase last-command-event))
136211a9 495 (calcDigit-key))
60e4c5a7 496 (calcDigit-nondigit)))
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497
498
499;; A Lisp version of temp_minibuffer_message from minibuf.c.
2378f044 500;;;###autoload
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501(defun calc-temp-minibuffer-message (m)
502 (let ((savemax (point-max)))
503 (save-excursion
504 (goto-char (point-max))
505 (insert m))
506 (let ((okay nil))
507 (unwind-protect
508 (progn
509 (sit-for 2)
510 (identity 1) ; this forces a call to QUIT; in bytecode.c.
511 (setq okay t))
512 (progn
513 (delete-region savemax (point-max))
60e4c5a7 514 (or okay (abort-recursive-edit)))))))
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515
516
517(put 'math-with-extra-prec 'lisp-indent-hook 1)
518
519
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520;; Concatenate two vectors, or a vector and an object. [V O O] [Public]
521;;;###autoload
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522(defun math-concat (v1 v2)
523 (if (stringp v1)
524 (concat v1 v2)
c6d32405 525 (require 'calc-ext)
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526 (if (and (or (math-objvecp v1) (math-known-scalarp v1))
527 (or (math-objvecp v2) (math-known-scalarp v2)))
528 (append (if (and (math-vectorp v1)
529 (or (math-matrixp v1)
530 (not (math-matrixp v2))))
531 v1
532 (list 'vec v1))
533 (if (and (math-vectorp v2)
534 (or (math-matrixp v2)
535 (not (math-matrixp v1))))
536 (cdr v2)
537 (list v2)))
60e4c5a7 538 (list '| v1 v2))))
136211a9
EZ
539
540
2378f044
SM
541;; True if A is zero. Works for un-normalized values. [P n] [Public]
542;;;###autoload
136211a9
EZ
543(defun math-zerop (a)
544 (if (consp a)
545 (cond ((memq (car a) '(bigpos bigneg))
546 (while (eq (car (setq a (cdr a))) 0))
547 (null a))
548 ((memq (car a) '(frac float polar mod))
549 (math-zerop (nth 1 a)))
550 ((eq (car a) 'cplx)
551 (and (math-zerop (nth 1 a)) (math-zerop (nth 2 a))))
552 ((eq (car a) 'hms)
553 (and (math-zerop (nth 1 a))
554 (math-zerop (nth 2 a))
555 (math-zerop (nth 3 a)))))
60e4c5a7 556 (eq a 0)))
136211a9
EZ
557
558
2378f044 559;; True if A is real and negative. [P n] [Public]
136211a9 560
2378f044 561;;;###autoload
136211a9
EZ
562(defun math-negp (a)
563 (if (consp a)
564 (cond ((eq (car a) 'bigpos) nil)
565 ((eq (car a) 'bigneg) (cdr a))
566 ((memq (car a) '(float frac))
567 (Math-integer-negp (nth 1 a)))
568 ((eq (car a) 'hms)
569 (if (math-zerop (nth 1 a))
570 (if (math-zerop (nth 2 a))
571 (math-negp (nth 3 a))
572 (math-negp (nth 2 a)))
573 (math-negp (nth 1 a))))
574 ((eq (car a) 'date)
575 (math-negp (nth 1 a)))
576 ((eq (car a) 'intv)
577 (or (math-negp (nth 3 a))
578 (and (math-zerop (nth 3 a))
579 (memq (nth 1 a) '(0 2)))))
580 ((equal a '(neg (var inf var-inf))) t))
60e4c5a7 581 (< a 0)))
136211a9 582
2378f044
SM
583;; True if A is a negative number or an expression the starts with '-'.
584;;;###autoload
136211a9
EZ
585(defun math-looks-negp (a) ; [P x] [Public]
586 (or (Math-negp a)
587 (eq (car-safe a) 'neg)
588 (and (memq (car-safe a) '(* /))
589 (or (math-looks-negp (nth 1 a))
590 (math-looks-negp (nth 2 a))))
591 (and (eq (car-safe a) '-)
60e4c5a7 592 (math-looks-negp (nth 1 a)))))
136211a9
EZ
593
594
2378f044
SM
595;; True if A is real and positive. [P n] [Public]
596;;;###autoload
136211a9
EZ
597(defun math-posp (a)
598 (if (consp a)
599 (cond ((eq (car a) 'bigpos) (cdr a))
600 ((eq (car a) 'bigneg) nil)
601 ((memq (car a) '(float frac))
602 (Math-integer-posp (nth 1 a)))
603 ((eq (car a) 'hms)
604 (if (math-zerop (nth 1 a))
605 (if (math-zerop (nth 2 a))
606 (math-posp (nth 3 a))
607 (math-posp (nth 2 a)))
608 (math-posp (nth 1 a))))
609 ((eq (car a) 'date)
610 (math-posp (nth 1 a)))
611 ((eq (car a) 'mod)
612 (not (math-zerop (nth 1 a))))
613 ((eq (car a) 'intv)
614 (or (math-posp (nth 2 a))
615 (and (math-zerop (nth 2 a))
616 (memq (nth 1 a) '(0 1)))))
617 ((equal a '(var inf var-inf)) t))
60e4c5a7 618 (> a 0)))
136211a9 619
2378f044 620;;;###autoload
dac12d80 621(defalias 'math-fixnump 'integerp)
2378f044 622;;;###autoload
dac12d80 623(defalias 'math-fixnatnump 'natnump)
136211a9
EZ
624
625
2378f044
SM
626;; True if A is an even integer. [P R R] [Public]
627;;;###autoload
136211a9
EZ
628(defun math-evenp (a)
629 (if (consp a)
630 (and (memq (car a) '(bigpos bigneg))
631 (= (% (nth 1 a) 2) 0))
60e4c5a7 632 (= (% a 2) 0)))
136211a9 633
2378f044
SM
634;; Compute A / 2, for small or big integer A. [I i]
635;; If A is negative, type of truncation is undefined.
636;;;###autoload
136211a9
EZ
637(defun math-div2 (a)
638 (if (consp a)
639 (if (cdr a)
640 (math-normalize (cons (car a) (math-div2-bignum (cdr a))))
641 0)
60e4c5a7 642 (/ a 2)))
136211a9 643
2378f044 644;;;###autoload
136211a9
EZ
645(defun math-div2-bignum (a) ; [l l]
646 (if (cdr a)
f164b8c8 647 (cons (+ (/ (car a) 2) (* (% (nth 1 a) 2) (/ math-bignum-digit-size 2)))
136211a9 648 (math-div2-bignum (cdr a)))
60e4c5a7 649 (list (/ (car a) 2))))
136211a9
EZ
650
651
2378f044
SM
652;; Reject an argument to a calculator function. [Public]
653;;;###autoload
136211a9
EZ
654(defun math-reject-arg (&optional a p option)
655 (if option
656 (calc-record-why option p a)
657 (if p
658 (calc-record-why p a)))
60e4c5a7 659 (signal 'wrong-type-argument (and a (if p (list p a) (list a)))))
136211a9
EZ
660
661
2378f044 662;; Coerce A to be an integer (by truncation toward zero). [I N] [Public]
276d2865
JB
663
664;; The variable math-trunc-prec is local to math-trunc, but used by
665;; math-trunc-fancy in calc-arith.el, which is called by math-trunc.
666
2378f044 667;;;###autoload
276d2865
JB
668(defun math-trunc (a &optional math-trunc-prec)
669 (cond (math-trunc-prec
c6d32405 670 (require 'calc-ext)
276d2865 671 (math-trunc-special a math-trunc-prec))
136211a9
EZ
672 ((Math-integerp a) a)
673 ((Math-looks-negp a)
674 (math-neg (math-trunc (math-neg a))))
675 ((eq (car a) 'float)
676 (math-scale-int (nth 1 a) (nth 2 a)))
c6d32405 677 (t (require 'calc-ext)
60e4c5a7 678 (math-trunc-fancy a))))
2378f044 679;;;###autoload
dac12d80 680(defalias 'calcFunc-trunc 'math-trunc)
136211a9 681
2378f044 682;; Coerce A to be an integer (by truncation toward minus infinity). [I N]
276d2865
JB
683
684;; The variable math-floor-prec is local to math-floor, but used by
685;; math-floor-fancy in calc-arith.el, which is called by math-floor.
686
2378f044 687;;;###autoload
276d2865
JB
688(defun math-floor (a &optional math-floor-prec) ; [Public]
689 (cond (math-floor-prec
c6d32405 690 (require 'calc-ext)
276d2865 691 (math-floor-special a math-floor-prec))
136211a9
EZ
692 ((Math-integerp a) a)
693 ((Math-messy-integerp a) (math-trunc a))
694 ((Math-realp a)
695 (if (Math-negp a)
696 (math-add (math-trunc a) -1)
697 (math-trunc a)))
c6d32405 698 (t (require 'calc-ext)
60e4c5a7 699 (math-floor-fancy a))))
2378f044 700;;;###autoload
dac12d80 701(defalias 'calcFunc-floor 'math-floor)
136211a9
EZ
702
703
2378f044 704;;;###autoload
136211a9
EZ
705(defun math-imod (a b) ; [I I I] [Public]
706 (if (and (not (consp a)) (not (consp b)))
707 (if (= b 0)
708 (math-reject-arg a "*Division by zero")
709 (% a b))
60e4c5a7 710 (cdr (math-idivmod a b))))
136211a9
EZ
711
712
2378f044 713;;;###autoload
136211a9
EZ
714(defun calcFunc-inv (m)
715 (if (Math-vectorp m)
716 (progn
c6d32405 717 (require 'calc-ext)
136211a9
EZ
718 (if (math-square-matrixp m)
719 (or (math-with-extra-prec 2 (math-matrix-inv-raw m))
720 (math-reject-arg m "*Singular matrix"))
721 (math-reject-arg m 'square-matrixp)))
5c0e273a
JB
722 (if (and
723 (require 'calc-arith)
724 (math-known-matrixp m))
725 (math-pow m -1)
726 (math-div 1 m))))
136211a9 727
2378f044 728;;;###autoload
136211a9 729(defun math-do-working (msg arg)
8f66f479 730 (or executing-kbd-macro
136211a9
EZ
731 (progn
732 (calc-set-command-flag 'clear-message)
733 (if math-working-step
734 (if math-working-step-2
735 (setq msg (format "[%d/%d] %s"
736 math-working-step math-working-step-2 msg))
737 (setq msg (format "[%d] %s" math-working-step msg))))
738 (message "Working... %s = %s" msg
60e4c5a7 739 (math-showing-full-precision (math-format-number arg))))))
136211a9
EZ
740
741
2378f044
SM
742;; Compute A modulo B, defined in terms of truncation toward minus infinity.
743;;;###autoload
136211a9
EZ
744(defun math-mod (a b) ; [R R R] [Public]
745 (cond ((and (Math-zerop a) (not (eq (car-safe a) 'mod))) a)
746 ((Math-zerop b)
747 (math-reject-arg a "*Division by zero"))
748 ((and (Math-natnump a) (Math-natnump b))
749 (math-imod a b))
750 ((and (Math-anglep a) (Math-anglep b))
751 (math-sub a (math-mul (math-floor (math-div a b)) b)))
c6d32405 752 (t (require 'calc-ext)
60e4c5a7 753 (math-mod-fancy a b))))
136211a9
EZ
754
755
756
757;;; General exponentiation.
758
2378f044 759;;;###autoload
136211a9
EZ
760(defun math-pow (a b) ; [O O N] [Public]
761 (cond ((equal b '(var nan var-nan))
762 b)
763 ((Math-zerop a)
764 (if (and (Math-scalarp b) (Math-posp b))
765 (if (math-floatp b) (math-float a) a)
c6d32405 766 (require 'calc-ext)
136211a9
EZ
767 (math-pow-of-zero a b)))
768 ((or (eq a 1) (eq b 1)) a)
769 ((or (equal a '(float 1 0)) (equal b '(float 1 0))) a)
770 ((Math-zerop b)
771 (if (Math-scalarp a)
772 (if (or (math-floatp a) (math-floatp b))
773 '(float 1 0) 1)
c6d32405 774 (require 'calc-ext)
136211a9
EZ
775 (math-pow-zero a b)))
776 ((and (Math-integerp b) (or (Math-numberp a) (Math-vectorp a)))
777 (if (and (equal a '(float 1 1)) (integerp b))
778 (math-make-float 1 b)
779 (math-with-extra-prec 2
780 (math-ipow a b))))
781 (t
c6d32405 782 (require 'calc-ext)
60e4c5a7 783 (math-pow-fancy a b))))
136211a9 784
2378f044 785;;;###autoload
136211a9
EZ
786(defun math-ipow (a n) ; [O O I] [Public]
787 (cond ((Math-integer-negp n)
788 (math-ipow (math-div 1 a) (Math-integer-neg n)))
789 ((not (consp n))
790 (if (and (Math-ratp a) (> n 20))
791 (math-iipow-show a n)
792 (math-iipow a n)))
793 ((math-evenp n)
794 (math-ipow (math-mul a a) (math-div2 n)))
795 (t
796 (math-mul a (math-ipow (math-mul a a)
60e4c5a7 797 (math-div2 (math-add n -1)))))))
136211a9
EZ
798
799(defun math-iipow (a n) ; [O O S]
800 (cond ((= n 0) 1)
801 ((= n 1) a)
802 ((= (% n 2) 0) (math-iipow (math-mul a a) (/ n 2)))
60e4c5a7 803 (t (math-mul a (math-iipow (math-mul a a) (/ n 2))))))
136211a9
EZ
804
805(defun math-iipow-show (a n) ; [O O S]
806 (math-working "pow" a)
807 (let ((val (cond
808 ((= n 0) 1)
809 ((= n 1) a)
810 ((= (% n 2) 0) (math-iipow-show (math-mul a a) (/ n 2)))
811 (t (math-mul a (math-iipow-show (math-mul a a) (/ n 2)))))))
812 (math-working "pow" val)
60e4c5a7 813 val))
136211a9
EZ
814
815
2378f044 816;;;###autoload
136211a9
EZ
817(defun math-read-radix-digit (dig) ; [D S; Z S]
818 (if (> dig ?9)
819 (if (< dig ?A)
820 nil
821 (- dig 55))
822 (if (>= dig ?0)
823 (- dig ?0)
60e4c5a7 824 nil)))
136211a9
EZ
825
826
136211a9
EZ
827;;; Bug reporting
828
2378f044 829;;;###autoload
afb55b71 830(defun report-calc-bug ()
136211a9
EZ
831 "Report a bug in Calc, the GNU Emacs calculator.
832Prompts for bug subject. Leaves you in a mail buffer."
afb55b71
CW
833 (interactive)
834 (let ((reporter-prompt-for-summary-p t))
77ba6df4
JB
835 (reporter-submit-bug-report calc-bug-address "Calc"
836 nil nil nil
afb55b71 837 "Please describe exactly what actions triggered the bug and the
8f148852
CW
838precise symptoms of the bug. If possible, include a backtrace by
839doing 'M-x toggle-debug-on-error', then reproducing the bug.
afb55b71 840" )))
2378f044 841;;;###autoload
dac12d80 842(defalias 'calc-report-bug 'report-calc-bug)
136211a9 843
877dc4f5
JB
844(provide 'calc-misc)
845
2378f044
SM
846;; Local variables:
847;; generated-autoload-file: "calc-loaddefs.el"
848;; End:
849
850;; arch-tag: 7984d9d0-62e5-41dc-afb8-e904b975f250
60e4c5a7 851;;; calc-misc.el ends here