lisp/calc/calc-misc.el

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