code.delx.au - gnu-emacs/blob - lisp/calc/calc-misc.el

   1 ;; Calculator for GNU Emacs, part I [calc-misc.el]
   2 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001 Free Software Foundation, Inc.
   3 ;; Written by Dave Gillespie, daveg@synaptics.com.
   4
   5 ;; This file is part of GNU Emacs.
   6
   7 ;; GNU Emacs is distributed in the hope that it will be useful,
   8 ;; but WITHOUT ANY WARRANTY.  No author or distributor
   9 ;; accepts responsibility to anyone for the consequences of using it
  10 ;; or for whether it serves any particular purpose or works at all,
  11 ;; unless he says so in writing.  Refer to the GNU Emacs General Public
  12 ;; License for full details.
  13
  14 ;; Everyone is granted permission to copy, modify and redistribute
  15 ;; GNU Emacs, but only under the conditions described in the
  16 ;; GNU Emacs General Public License.   A copy of this license is
  17 ;; supposed to have been given to you along with GNU Emacs so you
  18 ;; can know your rights and responsibilities.  It should be in a
  19 ;; file named COPYING.  Among other things, the copyright notice
  20 ;; and this notice must be preserved on all copies.
  21
  22
  23
  24 ;; This file is autoloaded from calc.el.
  25 (require 'calc)
  26
  27 (require 'calc-macs)
  28
  29 (defun calc-Need-calc-misc () nil)
  30
  31
  32 (defun calc-dispatch-help (arg)
  33   "M-# is a prefix key; follow it with one of these letters:
  34
  35 For turning Calc on and off:
  36   C  calc.  Start the Calculator in a window at the bottom of the screen.
  37   O  calc-other-window.  Start the Calculator but don't select its window.
  38   B  calc-big-or-small.  Control whether to use the full Emacs screen for Calc.
  39   Q  quick-calc.  Use the Calculator in the minibuffer.
  40   K  calc-keypad.  Start the Calculator in keypad mode (X window system only).
  41   E  calc-embedded.  Use the Calculator on a formula in this editing buffer.
  42   J  calc-embedded-select.  Like E, but select appropriate half of => or :=.
  43   W  calc-embedded-word.  Like E, but activate a single word, i.e., a number.
  44   Z  calc-user-invocation.  Invoke Calc in the way you defined with `Z I' cmd.
  45   X  calc-quit.  Turn Calc off.
  46
  47 For moving data into and out of Calc:
  48   G  calc-grab-region.  Grab the region defined by mark and point into Calc.
  49   R  calc-grab-rectangle.  Grab the rectangle defined by mark, point into Calc.
  50   :  calc-grab-sum-down.  Grab a rectangle and sum the columns.
  51   _  calc-grab-sum-across.  Grab a rectangle and sum the rows.
  52   Y  calc-copy-to-buffer.  Copy a value from the stack into the editing buffer.
  53
  54 For use with Embedded mode:
  55   A  calc-embedded-activate.  Find and activate all :='s and =>'s in buffer.
  56   D  calc-embedded-duplicate.  Make a copy of this formula and select it.
  57   F  calc-embedded-new-formula.  Insert a new formula at current point.
  58   N  calc-embedded-next.  Advance cursor to next known formula in buffer.
  59   P  calc-embedded-previous.  Advance cursor to previous known formula.
  60   U  calc-embedded-update-formula.  Re-evaluate formula at point.
  61   `  calc-embedded-edit.  Use calc-edit to edit formula at point.
  62
  63 Documentation:
  64   I  calc-info.  Read the Calculator manual in the Emacs Info system.
  65   T  calc-tutorial.  Run the Calculator Tutorial using the Emacs Info system.
  66   S  calc-summary.  Read the Summary from the Calculator manual in Info.
  67
  68 Miscellaneous:
  69   L  calc-load-everything.  Load all parts of the Calculator into memory.
  70   M  read-kbd-macro.  Read a region of keystroke names as a keyboard macro.
  71   0  (zero) calc-reset.  Reset Calc stack and modes to default state.
  72
  73 Press twice (`M-# M-#' or `M-# #') to turn Calc on or off using the same
  74 Calc user interface as before (either M-# C or M-# K; initially M-# C)."
  75   (interactive "P")
  76   (calc-check-defines)
  77   (if calc-dispatch-help
  78       (progn
  79         (save-window-excursion
  80           (describe-function 'calc-dispatch-help)
  81           (let ((win (get-buffer-window "*Help*")))
  82             (if win
  83                 (let (key)
  84                   (select-window win)
  85                   (while (progn
  86                            (message "Calc options: Calc, Keypad, ...  %s"
  87                                     "press SPC, DEL to scroll, C-g to cancel")
  88                            (memq (car (setq key (calc-read-key t)))
  89                                  '(?  ?\C-h ?\C-? ?\C-v ?\M-v)))
  90                     (condition-case err
  91                         (if (memq (car key) '(?  ?\C-v))
  92                             (scroll-up)
  93                           (scroll-down))
  94                       (error (beep))))
  95                       (calc-unread-command (cdr key))))))
  96         (calc-do-dispatch nil))
  97     (let ((calc-dispatch-help t))
  98       (calc-do-dispatch arg)))
  99 )
 100
 101
 102 (defun calc-big-or-small (arg)
 103   "Toggle Calc between full-screen and regular mode."
 104   (interactive "P")
 105   (let ((cwin (get-buffer-window "*Calculator*"))
 106         (twin (get-buffer-window "*Calc Trail*"))
 107         (kwin (get-buffer-window "*Calc Keypad*")))
 108     (if cwin
 109         (setq calc-full-mode
 110               (if kwin
 111                   (and twin (eq (window-width twin) (frame-width)))
 112                 (eq (window-height cwin) (1- (frame-height))))))
 113     (setq calc-full-mode (if arg
 114                              (> (prefix-numeric-value arg) 0)
 115                            (not calc-full-mode)))
 116     (if kwin
 117         (progn
 118           (calc-quit)
 119           (calc-do-keypad calc-full-mode nil))
 120       (if cwin
 121           (progn
 122             (calc-quit)
 123             (calc nil calc-full-mode nil))))
 124     (message (if calc-full-mode
 125                  "Now using full screen for Calc."
 126                "Now using partial screen for Calc.")))
 127 )
 128
 129 (defun calc-other-window ()
 130   "Invoke the Calculator in another window."
 131   (interactive)
 132   (if (memq major-mode '(calc-mode calc-trail-mode))
 133       (progn
 134         (other-window 1)
 135         (if (memq major-mode '(calc-mode calc-trail-mode))
 136             (other-window 1)))
 137     (if (get-buffer-window "*Calculator*")
 138         (calc-quit)
 139       (let ((win (selected-window)))
 140         (calc nil win (interactive-p)))))
 141 )
 142
 143 (defun another-calc ()
 144   "Create another, independent Calculator buffer."
 145   (interactive)
 146   (if (eq major-mode 'calc-mode)
 147       (mapcar (function
 148                (lambda (v)
 149                  (set-default v (symbol-value v)))) calc-local-var-list))
 150   (set-buffer (generate-new-buffer "*Calculator*"))
 151   (pop-to-buffer (current-buffer))
 152   (calc-mode)
 153 )
 154
 155
 156 ;;; Make an attempt to preserve the window configuration, while deleting
 157 ;;; windows on "bufs".  Emacs 19's delete-window function will probably
 158 ;;; make this kludgery unnecessary, but Emacs 18's tendency to grow all
 159 ;;; windows on the screen to take up the slack from the deleted windows
 160 ;;; can be annoying when Calc was called during another multi-window
 161 ;;; application, such as GNUS.
 162
 163 (defun calc-delete-windows-keep (&rest bufs)
 164   (if (one-window-p)
 165       (mapcar 'delete-windows-on bufs)
 166     (let* ((w (car calc-was-split))
 167            (e (window-edges w))
 168            (wins nil)
 169            w2 e2)
 170       (while (progn
 171                (setq w2 (previous-window w)
 172                      e2 (window-edges w2))
 173                (and (= (car e2) (car e))
 174                     (= (nth 2 e2) (nth 2 e))
 175                     (< (nth 1 e2) (nth 1 e))))
 176         (setq w w2 e e2))
 177       (setq w2 w e2 e)
 178       (while (progn
 179                (setq wins (cons (list w (nth 1 e) (window-buffer w)
 180                                       (window-point w) (window-start w))
 181                                 wins)
 182                      w (next-window w)
 183                      e (window-edges w))
 184                (and (not (eq w w2))
 185                     (= (car e2) (car e))
 186                     (= (nth 2 e2) (nth 2 e)))))
 187       (setq wins (nreverse wins))
 188       (mapcar 'delete-windows-on bufs)
 189       (or (one-window-p)
 190           (let ((w wins)
 191                 (main nil)
 192                 (mainpos 0)
 193                 (sel (if (window-point (nth 2 calc-was-split))
 194                          (nth 2 calc-was-split)
 195                        (selected-window))))
 196             (while w
 197               (if (window-point (car (car w)))
 198                   (if main
 199                       (delete-window (car (car w)))
 200                     (setq main (car (car w))
 201                           mainpos (nth 1 (car w))
 202                           wins (cdr wins)))
 203                 (setq wins (delq (car w) wins)))
 204               (setq w (cdr w)))
 205             (while wins
 206               (setq w (split-window main
 207                                     (if (eq main (car calc-was-split))
 208                                         (nth 1 calc-was-split)
 209                                       (- (nth 1 (car wins)) mainpos))))
 210               (set-window-buffer w (nth 2 (car wins)))
 211               (set-window-point w (nth 3 (car wins)))
 212               (set-window-start w (nth 4 (car wins)))
 213               (if (eq sel (car (car wins)))
 214                   (select-window w))
 215               (setq main w
 216                     mainpos (nth 1 (car wins))
 217                     wins (cdr wins)))
 218             (if (window-point sel)
 219                 (select-window sel))))))
 220 )
 221
 222
 223 (defun calc-info ()
 224   "Run the Emacs Info system on the Calculator documentation."
 225   (interactive)
 226   (require 'info)
 227   (select-window (get-largest-window))
 228   (or (file-name-absolute-p calc-info-filename)
 229        (let ((p load-path)
 230              name)
 231          (if (boundp 'Info-directory)
 232              (setq p (cons Info-directory p)))
 233          (while (and p (not (file-exists-p
 234                              (setq name (expand-file-name calc-info-filename
 235                                                           (car p))))))
 236            (setq p (cdr p)))
 237          (if p (setq calc-info-filename name))))
 238   (condition-case err
 239       (info)
 240     (error nil))
 241   (or (and (boundp 'Info-current-file)
 242            (stringp Info-current-file)
 243            (string-match "calc" Info-current-file))
 244       (Info-find-node calc-info-filename "Top"))
 245 )
 246
 247 (defun calc-tutorial ()
 248   "Run the Emacs Info system on the Calculator Tutorial."
 249   (interactive)
 250   (if (get-buffer-window "*Calculator*")
 251       (calc-quit))
 252   (calc-info)
 253   (Info-goto-node "Interactive Tutorial")
 254   (calc-other-window)
 255   (message "Welcome to the Calc Tutorial!")
 256 )
 257
 258 (defun calc-info-summary ()
 259   "Run the Emacs Info system on the Calculator Summary."
 260   (interactive)
 261   (calc-info)
 262   (Info-goto-node "Summary")
 263 )
 264
 265 (defun calc-help ()
 266   (interactive)
 267   (let ((msgs (append
 268          '("Press `h' for complete help; press `?' repeatedly for a summary"
 269            "Letter keys: Negate; Precision; Yank; Why; Xtended cmd; Quit"
 270            "Letter keys: SHIFT + Undo, reDo; Keep-args; Inverse, Hyperbolic"
 271            "Letter keys: SHIFT + sQrt; Sin, Cos, Tan; Exp, Ln, logB"
 272            "Letter keys: SHIFT + Floor, Round; Abs, conJ, arG; Pi"
 273            "Letter keys: SHIFT + Num-eval; More-recn; eXec-kbd-macro"
 274            "Other keys: +, -, *, /, ^, \\ (int div), : (frac div)"
 275            "Other keys: & (1/x), | (concat), % (modulo), ! (factorial)"
 276            "Other keys: ' (alg-entry), = (eval), ` (edit); M-RET (last-args)"
 277            "Other keys: SPC/RET (enter/dup), LFD (over); < > (scroll horiz)"
 278            "Other keys: DEL (drop), M-DEL (drop-above); { } (scroll vert)"
 279            "Other keys: TAB (swap/roll-dn), M-TAB (roll-up)"
 280            "Other keys: [ , ; ] (vector), ( , ) (complex), ( ; ) (polar)"
 281            "Prefix keys: Algebra, Binary/business, Convert, Display"
 282            "Prefix keys: Functions, Graphics, Help, J (select)"
 283            "Prefix keys: Kombinatorics/statistics, Modes, Store/recall"
 284            "Prefix keys: Trail/time, Units/statistics, Vector/matrix"
 285            "Prefix keys: Z (user), SHIFT + Z (define)"
 286            "Prefix keys: prefix + ? gives further help for that prefix")
 287          (list (format
 288                 "  Calc %s by Dave Gillespie, daveg@synaptics.com"
 289                 calc-version)))))
 290     (if calc-full-help-flag
 291         msgs
 292       (if (or calc-inverse-flag calc-hyperbolic-flag)
 293           (if calc-inverse-flag
 294               (if calc-hyperbolic-flag
 295                   (calc-inv-hyp-prefix-help)
 296                 (calc-inverse-prefix-help))
 297             (calc-hyperbolic-prefix-help))
 298         (setq calc-help-phase
 299               (if (eq this-command last-command)
 300                   (% (1+ calc-help-phase) (1+ (length msgs)))
 301                 0))
 302         (let ((msg (nth calc-help-phase msgs)))
 303           (message "%s" (if msg
 304                             (concat msg ":"
 305                                     (make-string (- (apply 'max
 306                                                            (mapcar 'length
 307                                                                    msgs))
 308                                                     (length msg)) 32)
 309                                     "  [?=MORE]")
 310                           ""))))))
 311 )
 312
 313
 314
 315
 316 ;;;; Stack and buffer management.
 317
 318
 319 (defun calc-do-handle-whys ()
 320   (setq calc-why (sort calc-next-why
 321                        (function
 322                         (lambda (x y)
 323                           (and (eq (car x) '*) (not (eq (car y) '*))))))
 324         calc-next-why nil)
 325   (if (and calc-why (or (eq calc-auto-why t)
 326                         (and (eq (car (car calc-why)) '*)
 327                              calc-auto-why)))
 328       (progn
 329         (calc-extensions)
 330         (calc-explain-why (car calc-why)
 331                           (if (eq calc-auto-why t)
 332                               (cdr calc-why)
 333                             (if calc-auto-why
 334                                 (eq (car (nth 1 calc-why)) '*))))
 335         (setq calc-last-why-command this-command)
 336         (calc-clear-command-flag 'clear-message)))
 337 )
 338
 339 (defun calc-record-why (&rest stuff)
 340   (if (eq (car stuff) 'quiet)
 341       (setq stuff (cdr stuff))
 342     (if (and (symbolp (car stuff))
 343              (cdr stuff)
 344              (or (Math-objectp (nth 1 stuff))
 345                  (and (Math-vectorp (nth 1 stuff))
 346                       (math-constp (nth 1 stuff)))
 347                  (math-infinitep (nth 1 stuff))))
 348         (setq stuff (cons '* stuff))
 349       (if (and (stringp (car stuff))
 350                (string-match "\\`\\*" (car stuff)))
 351           (setq stuff (cons '* (cons (substring (car stuff) 1)
 352                                      (cdr stuff)))))))
 353   (setq calc-next-why (cons stuff calc-next-why))
 354   nil
 355 )
 356
 357 ;;; True if A is a constant or vector of constants.  [P x] [Public]
 358 (defun math-constp (a)
 359   (or (Math-scalarp a)
 360       (and (memq (car a) '(sdev intv mod vec))
 361            (progn
 362              (while (and (setq a (cdr a))
 363                          (or (Math-scalarp (car a))  ; optimization
 364                              (math-constp (car a)))))
 365              (null a))))
 366 )
 367
 368
 369 (defun calc-roll-down-stack (n &optional m)
 370   (if (< n 0)
 371       (calc-roll-up-stack (- n) m)
 372     (if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
 373     (or m (setq m 1))
 374     (and (> n 1)
 375          (< m n)
 376          (if (and calc-any-selections
 377                   (not calc-use-selections))
 378              (calc-roll-down-with-selections n m)
 379            (calc-pop-push-list n
 380                                (append (calc-top-list m 1)
 381                                        (calc-top-list (- n m) (1+ m)))))))
 382 )
 383
 384 (defun calc-roll-up-stack (n &optional m)
 385   (if (< n 0)
 386       (calc-roll-down-stack (- n) m)
 387     (if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
 388     (or m (setq m 1))
 389     (and (> n 1)
 390          (< m n)
 391          (if (and calc-any-selections
 392                   (not calc-use-selections))
 393              (calc-roll-up-with-selections n m)
 394            (calc-pop-push-list n
 395                                (append (calc-top-list (- n m) 1)
 396                                        (calc-top-list m (- n m -1)))))))
 397 )
 398
 399
 400 (defun calc-do-refresh ()
 401   (if calc-hyperbolic-flag
 402       (progn
 403         (setq calc-display-dirty t)
 404         nil)
 405     (calc-refresh)
 406     t)
 407 )
 408
 409
 410 (defun calc-record-list (vals &optional prefix)
 411   (while vals
 412     (or (eq (car vals) 'top-of-stack)
 413         (progn
 414           (calc-record (car vals) prefix)
 415           (setq prefix "...")))
 416     (setq vals (cdr vals)))
 417 )
 418
 419
 420 (defun calc-last-args-stub (arg)
 421   (interactive "p")
 422   (calc-extensions)
 423   (calc-last-args arg)
 424 )
 425
 426
 427 (defun calc-power (arg)
 428   (interactive "P")
 429   (calc-slow-wrapper
 430    (if (and calc-extensions-loaded
 431             (calc-is-inverse))
 432        (calc-binary-op "root" 'calcFunc-nroot arg nil nil)
 433      (calc-binary-op "^" 'calcFunc-pow arg nil nil '^)))
 434 )
 435
 436 (defun calc-mod (arg)
 437   (interactive "P")
 438   (calc-slow-wrapper
 439    (calc-binary-op "%" 'calcFunc-mod arg nil nil '%))
 440 )
 441
 442 (defun calc-inv (arg)
 443   (interactive "P")
 444   (calc-slow-wrapper
 445    (calc-unary-op "inv" 'calcFunc-inv arg))
 446 )
 447
 448 (defun calc-percent ()
 449   (interactive)
 450   (calc-slow-wrapper
 451    (calc-pop-push-record-list
 452     1 "%" (list (list 'calcFunc-percent (calc-top-n 1)))))
 453 )
 454
 455
 456 (defun calc-over (n)
 457   (interactive "P")
 458   (if n
 459       (calc-enter (- (prefix-numeric-value n)))
 460     (calc-enter -2))
 461 )
 462
 463
 464 (defun calc-pop-above (n)
 465   (interactive "P")
 466   (if n
 467       (calc-pop (- (prefix-numeric-value n)))
 468     (calc-pop -2))
 469 )
 470
 471 (defun calc-roll-down (n)
 472   (interactive "P")
 473   (calc-wrapper
 474    (let ((nn (prefix-numeric-value n)))
 475      (cond ((null n)
 476             (calc-roll-down-stack 2))
 477            ((> nn 0)
 478             (calc-roll-down-stack nn))
 479            ((= nn 0)
 480             (calc-pop-push-list (calc-stack-size)
 481                                 (reverse
 482                                  (calc-top-list (calc-stack-size)))))
 483            (t
 484             (calc-roll-down-stack (calc-stack-size) (- nn))))))
 485 )
 486
 487 (defun calc-roll-up (n)
 488   (interactive "P")
 489   (calc-wrapper
 490    (let ((nn (prefix-numeric-value n)))
 491      (cond ((null n)
 492             (calc-roll-up-stack 3))
 493            ((> nn 0)
 494             (calc-roll-up-stack nn))
 495            ((= nn 0)
 496             (calc-pop-push-list (calc-stack-size)
 497                                 (reverse
 498                                  (calc-top-list (calc-stack-size)))))
 499            (t
 500             (calc-roll-up-stack (calc-stack-size) (- nn))))))
 501 )
 502
 503
 504
 505
 506 ;;; Other commands.
 507
 508 (defun calc-num-prefix-name (n)
 509   (cond ((eq n '-) "- ")
 510         ((equal n '(4)) "C-u ")
 511         ((consp n) (format "%d " (car n)))
 512         ((integerp n) (format "%d " n))
 513         (t ""))
 514 )
 515
 516 (defun calc-missing-key (n)
 517   "This is a placeholder for a command which needs to be loaded from calc-ext.
 518 When this key is used, calc-ext (the Calculator extensions module) will be
 519 loaded and the keystroke automatically re-typed."
 520   (interactive "P")
 521   (calc-extensions)
 522   (if (keymapp (key-binding (char-to-string last-command-char)))
 523       (message "%s%c-" (calc-num-prefix-name n) last-command-char))
 524   (calc-unread-command)
 525   (setq prefix-arg n)
 526 )
 527
 528 (defun calc-shift-Y-prefix-help ()
 529   (interactive)
 530   (calc-extensions)
 531   (calc-do-prefix-help calc-Y-help-msgs "other" ?Y)
 532 )
 533
 534
 535
 536
 537 (defun calcDigit-letter ()
 538   (interactive)
 539   (if (calc-minibuffer-contains "[-+]?\\(1[1-9]\\|[2-9][0-9]\\)#.*")
 540       (progn
 541         (setq last-command-char (upcase last-command-char))
 542         (calcDigit-key))
 543     (calcDigit-nondigit))
 544 )
 545
 546
 547 ;; A Lisp version of temp_minibuffer_message from minibuf.c.
 548 (defun calc-temp-minibuffer-message (m)
 549   (let ((savemax (point-max)))
 550     (save-excursion
 551       (goto-char (point-max))
 552       (insert m))
 553     (let ((okay nil))
 554       (unwind-protect
 555           (progn
 556             (sit-for 2)
 557             (identity 1)   ; this forces a call to QUIT; in bytecode.c.
 558             (setq okay t))
 559         (progn
 560           (delete-region savemax (point-max))
 561           (or okay (abort-recursive-edit))))))
 562 )
 563
 564
 565 (put 'math-with-extra-prec 'lisp-indent-hook 1)
 566
 567
 568 ;;; Concatenate two vectors, or a vector and an object.  [V O O] [Public]
 569 (defun math-concat (v1 v2)
 570   (if (stringp v1)
 571       (concat v1 v2)
 572     (calc-extensions)
 573     (if (and (or (math-objvecp v1) (math-known-scalarp v1))
 574              (or (math-objvecp v2) (math-known-scalarp v2)))
 575         (append (if (and (math-vectorp v1)
 576                          (or (math-matrixp v1)
 577                              (not (math-matrixp v2))))
 578                     v1
 579                   (list 'vec v1))
 580                 (if (and (math-vectorp v2)
 581                          (or (math-matrixp v2)
 582                              (not (math-matrixp v1))))
 583                     (cdr v2)
 584                   (list v2)))
 585       (list '| v1 v2)))
 586 )
 587
 588
 589 ;;; True if A is zero.  Works for un-normalized values.  [P n] [Public]
 590 (defun math-zerop (a)
 591   (if (consp a)
 592       (cond ((memq (car a) '(bigpos bigneg))
 593              (while (eq (car (setq a (cdr a))) 0))
 594              (null a))
 595             ((memq (car a) '(frac float polar mod))
 596              (math-zerop (nth 1 a)))
 597             ((eq (car a) 'cplx)
 598              (and (math-zerop (nth 1 a)) (math-zerop (nth 2 a))))
 599             ((eq (car a) 'hms)
 600              (and (math-zerop (nth 1 a))
 601                   (math-zerop (nth 2 a))
 602                   (math-zerop (nth 3 a)))))
 603     (eq a 0))
 604 )
 605
 606
 607 ;;; True if A is real and negative.  [P n] [Public]
 608
 609 (defun math-negp (a)
 610   (if (consp a)
 611       (cond ((eq (car a) 'bigpos) nil)
 612             ((eq (car a) 'bigneg) (cdr a))
 613             ((memq (car a) '(float frac))
 614              (Math-integer-negp (nth 1 a)))
 615             ((eq (car a) 'hms)
 616              (if (math-zerop (nth 1 a))
 617                  (if (math-zerop (nth 2 a))
 618                      (math-negp (nth 3 a))
 619                    (math-negp (nth 2 a)))
 620                (math-negp (nth 1 a))))
 621             ((eq (car a) 'date)
 622              (math-negp (nth 1 a)))
 623             ((eq (car a) 'intv)
 624              (or (math-negp (nth 3 a))
 625                  (and (math-zerop (nth 3 a))
 626                       (memq (nth 1 a) '(0 2)))))
 627             ((equal a '(neg (var inf var-inf))) t))
 628     (< a 0))
 629 )
 630
 631 ;;; True if A is a negative number or an expression the starts with '-'.
 632 (defun math-looks-negp (a)   ; [P x] [Public]
 633   (or (Math-negp a)
 634       (eq (car-safe a) 'neg)
 635       (and (memq (car-safe a) '(* /))
 636            (or (math-looks-negp (nth 1 a))
 637                (math-looks-negp (nth 2 a))))
 638       (and (eq (car-safe a) '-)
 639            (math-looks-negp (nth 1 a))))
 640 )
 641
 642
 643 ;;; True if A is real and positive.  [P n] [Public]
 644 (defun math-posp (a)
 645   (if (consp a)
 646       (cond ((eq (car a) 'bigpos) (cdr a))
 647             ((eq (car a) 'bigneg) nil)
 648             ((memq (car a) '(float frac))
 649              (Math-integer-posp (nth 1 a)))
 650             ((eq (car a) 'hms)
 651              (if (math-zerop (nth 1 a))
 652                  (if (math-zerop (nth 2 a))
 653                      (math-posp (nth 3 a))
 654                    (math-posp (nth 2 a)))
 655                (math-posp (nth 1 a))))
 656             ((eq (car a) 'date)
 657              (math-posp (nth 1 a)))
 658             ((eq (car a) 'mod)
 659              (not (math-zerop (nth 1 a))))
 660             ((eq (car a) 'intv)
 661              (or (math-posp (nth 2 a))
 662                  (and (math-zerop (nth 2 a))
 663                       (memq (nth 1 a) '(0 1)))))
 664             ((equal a '(var inf var-inf)) t))
 665     (> a 0))
 666 )
 667
 668 (fset 'math-fixnump (symbol-function 'integerp))
 669 (fset 'math-fixnatnump (symbol-function 'natnump))
 670
 671
 672 ;;; True if A is an even integer.  [P R R] [Public]
 673 (defun math-evenp (a)
 674   (if (consp a)
 675       (and (memq (car a) '(bigpos bigneg))
 676            (= (% (nth 1 a) 2) 0))
 677     (= (% a 2) 0))
 678 )
 679
 680 ;;; Compute A / 2, for small or big integer A.  [I i]
 681 ;;; If A is negative, type of truncation is undefined.
 682 (defun math-div2 (a)
 683   (if (consp a)
 684       (if (cdr a)
 685           (math-normalize (cons (car a) (math-div2-bignum (cdr a))))
 686         0)
 687     (/ a 2))
 688 )
 689
 690 (defun math-div2-bignum (a)   ; [l l]
 691   (if (cdr a)
 692       (cons (+ (/ (car a) 2) (* (% (nth 1 a) 2) 500))
 693             (math-div2-bignum (cdr a)))
 694     (list (/ (car a) 2)))
 695 )
 696
 697
 698 ;;; Reject an argument to a calculator function.  [Public]
 699 (defun math-reject-arg (&optional a p option)
 700   (if option
 701       (calc-record-why option p a)
 702     (if p
 703         (calc-record-why p a)))
 704   (signal 'wrong-type-argument (and a (if p (list p a) (list a))))
 705 )
 706
 707
 708 ;;; Coerce A to be an integer (by truncation toward zero).  [I N] [Public]
 709 (defun math-trunc (a &optional prec)
 710   (cond (prec
 711          (calc-extensions)
 712          (math-trunc-special a prec))
 713         ((Math-integerp a) a)
 714         ((Math-looks-negp a)
 715          (math-neg (math-trunc (math-neg a))))
 716         ((eq (car a) 'float)
 717          (math-scale-int (nth 1 a) (nth 2 a)))
 718         (t (calc-extensions)
 719            (math-trunc-fancy a)))
 720 )
 721 (fset 'calcFunc-trunc (symbol-function 'math-trunc))
 722
 723 ;;; Coerce A to be an integer (by truncation toward minus infinity).  [I N]
 724 (defun math-floor (a &optional prec)    ;  [Public]
 725   (cond (prec
 726          (calc-extensions)
 727          (math-floor-special a prec))
 728         ((Math-integerp a) a)
 729         ((Math-messy-integerp a) (math-trunc a))
 730         ((Math-realp a)
 731          (if (Math-negp a)
 732              (math-add (math-trunc a) -1)
 733            (math-trunc a)))
 734         (t (calc-extensions)
 735            (math-floor-fancy a)))
 736 )
 737 (fset 'calcFunc-floor (symbol-function 'math-floor))
 738
 739
 740 (defun math-imod (a b)   ; [I I I] [Public]
 741   (if (and (not (consp a)) (not (consp b)))
 742       (if (= b 0)
 743           (math-reject-arg a "*Division by zero")
 744         (% a b))
 745     (cdr (math-idivmod a b)))
 746 )
 747
 748
 749 (defun calcFunc-inv (m)
 750   (if (Math-vectorp m)
 751       (progn
 752         (calc-extensions)
 753         (if (math-square-matrixp m)
 754             (or (math-with-extra-prec 2 (math-matrix-inv-raw m))
 755                 (math-reject-arg m "*Singular matrix"))
 756           (math-reject-arg m 'square-matrixp)))
 757     (math-div 1 m))
 758 )
 759
 760
 761 (defun math-do-working (msg arg)
 762   (or executing-kbd-macro
 763       (progn
 764         (calc-set-command-flag 'clear-message)
 765         (if math-working-step
 766             (if math-working-step-2
 767                 (setq msg (format "[%d/%d] %s"
 768                                   math-working-step math-working-step-2 msg))
 769               (setq msg (format "[%d] %s" math-working-step msg))))
 770         (message "Working... %s = %s" msg
 771                  (math-showing-full-precision (math-format-number arg)))))
 772 )
 773
 774
 775 ;;; Compute A modulo B, defined in terms of truncation toward minus infinity.
 776 (defun math-mod (a b)   ; [R R R] [Public]
 777   (cond ((and (Math-zerop a) (not (eq (car-safe a) 'mod))) a)
 778         ((Math-zerop b)
 779          (math-reject-arg a "*Division by zero"))
 780         ((and (Math-natnump a) (Math-natnump b))
 781          (math-imod a b))
 782         ((and (Math-anglep a) (Math-anglep b))
 783          (math-sub a (math-mul (math-floor (math-div a b)) b)))
 784         (t (calc-extensions)
 785            (math-mod-fancy a b)))
 786 )
 787
 788
 789
 790 ;;; General exponentiation.
 791
 792 (defun math-pow (a b)   ; [O O N] [Public]
 793   (cond ((equal b '(var nan var-nan))
 794          b)
 795         ((Math-zerop a)
 796          (if (and (Math-scalarp b) (Math-posp b))
 797              (if (math-floatp b) (math-float a) a)
 798            (calc-extensions)
 799            (math-pow-of-zero a b)))
 800         ((or (eq a 1) (eq b 1)) a)
 801         ((or (equal a '(float 1 0)) (equal b '(float 1 0))) a)
 802         ((Math-zerop b)
 803          (if (Math-scalarp a)
 804              (if (or (math-floatp a) (math-floatp b))
 805                  '(float 1 0) 1)
 806            (calc-extensions)
 807            (math-pow-zero a b)))
 808         ((and (Math-integerp b) (or (Math-numberp a) (Math-vectorp a)))
 809          (if (and (equal a '(float 1 1)) (integerp b))
 810              (math-make-float 1 b)
 811            (math-with-extra-prec 2
 812              (math-ipow a b))))
 813         (t
 814          (calc-extensions)
 815          (math-pow-fancy a b)))
 816 )
 817
 818 (defun math-ipow (a n)   ; [O O I] [Public]
 819   (cond ((Math-integer-negp n)
 820          (math-ipow (math-div 1 a) (Math-integer-neg n)))
 821         ((not (consp n))
 822          (if (and (Math-ratp a) (> n 20))
 823              (math-iipow-show a n)
 824            (math-iipow a n)))
 825         ((math-evenp n)
 826          (math-ipow (math-mul a a) (math-div2 n)))
 827         (t
 828          (math-mul a (math-ipow (math-mul a a)
 829                                 (math-div2 (math-add n -1))))))
 830 )
 831
 832 (defun math-iipow (a n)   ; [O O S]
 833   (cond ((= n 0) 1)
 834         ((= n 1) a)
 835         ((= (% n 2) 0) (math-iipow (math-mul a a) (/ n 2)))
 836         (t (math-mul a (math-iipow (math-mul a a) (/ n 2)))))
 837 )
 838
 839 (defun math-iipow-show (a n)   ; [O O S]
 840   (math-working "pow" a)
 841   (let ((val (cond
 842               ((= n 0) 1)
 843               ((= n 1) a)
 844               ((= (% n 2) 0) (math-iipow-show (math-mul a a) (/ n 2)))
 845               (t (math-mul a (math-iipow-show (math-mul a a) (/ n 2)))))))
 846     (math-working "pow" val)
 847     val)
 848 )
 849
 850
 851 (defun math-read-radix-digit (dig)   ; [D S; Z S]
 852   (if (> dig ?9)
 853       (if (< dig ?A)
 854           nil
 855         (- dig 55))
 856     (if (>= dig ?0)
 857         (- dig ?0)
 858       nil))
 859 )
 860
 861
 862
 863
 864
 865 ;;; Bug reporting
 866
 867 (defun report-calc-bug (topic)
 868   "Report a bug in Calc, the GNU Emacs calculator.
 869 Prompts for bug subject.  Leaves you in a mail buffer."
 870   (interactive "sBug Subject: ")
 871   (mail nil calc-bug-address topic)
 872   (goto-char (point-max))
 873   (insert "\nIn Calc " calc-version ", Emacs " (emacs-version) "\n\n")
 874   (message (substitute-command-keys "Type \\[mail-send] to send bug report."))
 875 )
 876 (fset 'calc-report-bug (symbol-function 'report-calc-bug))
 877