lisp/calc/calc-misc.el

   1 ;;; calc-misc.el --- miscellaneous functions for Calc
   2
   3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004
   4 ;;   2005, 2006, 2007 Free Software Foundation, Inc.
   5
   6 ;; Author: David Gillespie <daveg@synaptics.com>
   7 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
   8
   9 ;; This file is part of GNU Emacs.
  10
  11 ;; GNU Emacs is free software; you can redistribute it and/or modify
  12 ;; it under the terms of the GNU General Public License as published by
  13 ;; the Free Software Foundation; either version 3, or (at your option)
  14 ;; any later version.
  15
  16 ;; GNU Emacs is distributed in the hope that it will be useful,
  17 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  18 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  19 ;; GNU General Public License for more details.
  20
  21 ;; You should have received a copy of the GNU General Public License
  22 ;; along with GNU Emacs; see the file COPYING.  If not, write to the
  23 ;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
  24 ;; Boston, MA 02110-1301, USA.
  25
  26 ;;; Commentary:
  27
  28 ;;; Code:
  29
  30 ;; This file is autoloaded from calc.el.
  31
  32 (require 'calc)
  33 (require 'calc-macs)
  34
  35 (defun calc-dispatch-help (arg)
  36   "C-x* is a prefix key sequence; follow it with one of these letters:
  37
  38 For turning Calc on and off:
  39   C  calc.  Start the Calculator in a window at the bottom of the screen.
  40   O  calc-other-window.  Start the Calculator but don't select its window.
  41   B  calc-big-or-small.  Control whether to use the full Emacs screen for Calc.
  42   Q  quick-calc.  Use the Calculator in the minibuffer.
  43   K  calc-keypad.  Start the Calculator in keypad mode (X window system only).
  44   E  calc-embedded.  Use the Calculator on a formula in this editing buffer.
  45   J  calc-embedded-select.  Like E, but select appropriate half of => or :=.
  46   W  calc-embedded-word.  Like E, but activate a single word, i.e., a number.
  47   Z  calc-user-invocation.  Invoke Calc in the way you defined with `Z I' cmd.
  48   X  calc-quit.  Turn Calc off.
  49
  50 For moving data into and out of Calc:
  51   G  calc-grab-region.  Grab the region defined by mark and point into Calc.
  52   R  calc-grab-rectangle.  Grab the rectangle defined by mark, point into Calc.
  53   :  calc-grab-sum-down.  Grab a rectangle and sum the columns.
  54   _  calc-grab-sum-across.  Grab a rectangle and sum the rows.
  55   Y  calc-copy-to-buffer.  Copy a value from the stack into the editing buffer.
  56
  57 For use with Embedded mode:
  58   A  calc-embedded-activate.  Find and activate all :='s and =>'s in buffer.
  59   D  calc-embedded-duplicate.  Make a copy of this formula and select it.
  60   F  calc-embedded-new-formula.  Insert a new formula at current point.
  61   N  calc-embedded-next.  Advance cursor to next known formula in buffer.
  62   P  calc-embedded-previous.  Advance cursor to previous known formula.
  63   U  calc-embedded-update-formula.  Re-evaluate formula at point.
  64   `  calc-embedded-edit.  Use calc-edit to edit formula at point.
  65
  66 Documentation:
  67   I  calc-info.  Read the Calculator manual in the Emacs Info system.
  68   T  calc-tutorial.  Run the Calculator Tutorial using the Emacs Info system.
  69   S  calc-summary.  Read the Summary from the Calculator manual in Info.
  70
  71 Miscellaneous:
  72   L  calc-load-everything.  Load all parts of the Calculator into memory.
  73   M  read-kbd-macro.  Read a region of keystroke names as a keyboard macro.
  74   0  (zero) calc-reset.  Reset Calc stack and modes to default state.
  75
  76 Press `*' twice (`C-x * *') to turn Calc on or off using the same
  77 Calc user interface as before (either C-x * C or C-x * K; initially C-x * C).
  78 "
  79   (interactive "P")
  80   (calc-check-defines)
  81   (if calc-dispatch-help
  82       (progn
  83         (save-window-excursion
  84           (describe-function 'calc-dispatch-help)
  85           (let ((win (get-buffer-window "*Help*")))
  86             (if win
  87                 (let (key)
  88                   (select-window win)
  89                   (while (progn
  90                            (message "Calc options: Calc, Keypad, ...  %s"
  91                                     "press SPC, DEL to scroll, C-g to cancel")
  92                            (memq (car (setq key (calc-read-key t)))
  93                                  '(?  ?\C-h ?\C-? ?\C-v ?\M-v)))
  94                     (condition-case err
  95                         (if (memq (car key) '(?  ?\C-v))
  96                             (scroll-up)
  97                           (scroll-down))
  98                       (error (beep))))
  99                       (calc-unread-command (cdr key))))))
 100         (calc-do-dispatch nil))
 101     (let ((calc-dispatch-help t))
 102       (calc-do-dispatch arg))))
 103
 104
 105 (defun calc-big-or-small (arg)
 106   "Toggle Calc between full-screen and regular mode."
 107   (interactive "P")
 108   (let ((cwin (get-buffer-window "*Calculator*"))
 109         (twin (get-buffer-window "*Calc Trail*"))
 110         (kwin (get-buffer-window "*Calc Keypad*")))
 111     (if cwin
 112         (setq calc-full-mode
 113               (if kwin
 114                   (and twin (eq (window-width twin) (frame-width)))
 115                 (eq (window-height cwin) (1- (frame-height))))))
 116     (setq calc-full-mode (if arg
 117                              (> (prefix-numeric-value arg) 0)
 118                            (not calc-full-mode)))
 119     (if kwin
 120         (progn
 121           (calc-quit)
 122           (calc-do-keypad calc-full-mode nil))
 123       (if cwin
 124           (progn
 125             (calc-quit)
 126             (calc nil calc-full-mode nil))))
 127     (message (if calc-full-mode
 128                  "Now using full screen for Calc"
 129                "Now using partial screen for Calc"))))
 130
 131 (defun calc-other-window (&optional interactive)
 132   "Invoke the Calculator in another window."
 133   (interactive "p")
 134   (if (memq major-mode '(calc-mode calc-trail-mode))
 135       (progn
 136         (other-window 1)
 137         (if (memq major-mode '(calc-mode calc-trail-mode))
 138             (other-window 1)))
 139     (if (get-buffer-window "*Calculator*")
 140         (calc-quit)
 141       (let ((win (selected-window)))
 142         (calc nil win interactive)))))
 143
 144 (defun another-calc ()
 145   "Create another, independent Calculator buffer."
 146   (interactive)
 147   (if (eq major-mode 'calc-mode)
 148       (mapc (function
 149              (lambda (v)
 150               (set-default v (symbol-value v)))) calc-local-var-list))
 151   (set-buffer (generate-new-buffer "*Calculator*"))
 152   (pop-to-buffer (current-buffer))
 153   (calc-mode))
 154
 155 (defun calc-info ()
 156   "Run the Emacs Info system on the Calculator documentation."
 157   (interactive)
 158   (select-window (get-largest-window))
 159   (info "Calc"))
 160
 161 (defun calc-info-goto-node (node)
 162   "Go to a node in the Calculator info documentation."
 163   (interactive)
 164   (select-window (get-largest-window))
 165   (info (concat "(Calc)" node)))
 166
 167 (defun calc-tutorial ()
 168   "Run the Emacs Info system on the Calculator Tutorial."
 169   (interactive)
 170   (if (get-buffer-window "*Calculator*")
 171       (calc-quit))
 172   (calc-info-goto-node "Interactive Tutorial")
 173   (calc-other-window)
 174   (message "Welcome to the Calc Tutorial!"))
 175
 176 (defun calc-info-summary ()
 177   "Run the Emacs Info system on the Calculator Summary."
 178   (interactive)
 179   (calc-info-goto-node "Summary"))
 180
 181 (defun calc-help ()
 182   (interactive)
 183   (let ((msgs (append
 184          '("Press `h' for complete help; press `?' repeatedly for a summary"
 185            "Letter keys: Negate; Precision; Yank; Why; Xtended cmd; Quit"
 186            "Letter keys: SHIFT + Undo, reDo; Keep-args; Inverse, Hyperbolic"
 187            "Letter keys: SHIFT + sQrt; Sin, Cos, Tan; Exp, Ln, logB"
 188            "Letter keys: SHIFT + Floor, Round; Abs, conJ, arG; Pi"
 189            "Letter keys: SHIFT + Num-eval; More-recn; eXec-kbd-macro"
 190            "Other keys: +, -, *, /, ^, \\ (int div), : (frac div)"
 191            "Other keys: & (1/x), | (concat), % (modulo), ! (factorial)"
 192            "Other keys: ' (alg-entry), = (eval), ` (edit); M-RET (last-args)"
 193            "Other keys: SPC/RET (enter/dup), LFD (over); < > (scroll horiz)"
 194            "Other keys: DEL (drop), M-DEL (drop-above); { } (scroll vert)"
 195            "Other keys: TAB (swap/roll-dn), M-TAB (roll-up)"
 196            "Other keys: [ , ; ] (vector), ( , ) (complex), ( ; ) (polar)"
 197            "Prefix keys: Algebra, Binary/business, Convert, Display"
 198            "Prefix keys: Functions, Graphics, Help, J (select)"
 199            "Prefix keys: Kombinatorics/statistics, Modes, Store/recall"
 200            "Prefix keys: Trail/time, Units/statistics, Vector/matrix"
 201            "Prefix keys: Z (user), SHIFT + Z (define)"
 202            "Prefix keys: prefix + ? gives further help for that prefix")
 203          (list (format
 204                 "  Calc %s by Dave Gillespie, daveg@synaptics.com"
 205                 calc-version)))))
 206     (if calc-full-help-flag
 207         msgs
 208       (if (or calc-inverse-flag calc-hyperbolic-flag)
 209           (if calc-inverse-flag
 210               (if calc-hyperbolic-flag
 211                   (calc-inv-hyp-prefix-help)
 212                 (calc-inverse-prefix-help))
 213             (calc-hyperbolic-prefix-help))
 214         (setq calc-help-phase
 215               (if (eq this-command last-command)
 216                   (% (1+ calc-help-phase) (1+ (length msgs)))
 217                 0))
 218         (let ((msg (nth calc-help-phase msgs)))
 219           (message "%s" (if msg
 220                             (concat msg ":"
 221                                     (make-string (- (apply 'max
 222                                                            (mapcar 'length
 223                                                                    msgs))
 224                                                     (length msg)) 32)
 225                                     "  [?=MORE]")
 226                           "")))))))
 227
 228
 229
 230
 231 ;;;; Stack and buffer management.
 232
 233 ;; The variable calc-last-why-command is set in calc-do-handly-whys
 234 ;; and used in calc-why (in calc-stuff.el).
 235 (defvar calc-last-why-command)
 236
 237 (defun calc-do-handle-whys ()
 238   (setq calc-why (sort calc-next-why
 239                        (function
 240                         (lambda (x y)
 241                           (and (eq (car x) '*) (not (eq (car y) '*))))))
 242         calc-next-why nil)
 243   (if (and calc-why (or (eq calc-auto-why t)
 244                         (and (eq (car (car calc-why)) '*)
 245                              calc-auto-why)))
 246       (progn
 247         (require 'calc-ext)
 248         (calc-explain-why (car calc-why)
 249                           (if (eq calc-auto-why t)
 250                               (cdr calc-why)
 251                             (if calc-auto-why
 252                                 (eq (car (nth 1 calc-why)) '*))))
 253         (setq calc-last-why-command this-command)
 254         (calc-clear-command-flag 'clear-message))))
 255
 256 (defun calc-record-why (&rest stuff)
 257   (if (eq (car stuff) 'quiet)
 258       (setq stuff (cdr stuff))
 259     (if (and (symbolp (car stuff))
 260              (cdr stuff)
 261              (or (Math-objectp (nth 1 stuff))
 262                  (and (Math-vectorp (nth 1 stuff))
 263                       (math-constp (nth 1 stuff)))
 264                  (math-infinitep (nth 1 stuff))))
 265         (setq stuff (cons '* stuff))
 266       (if (and (stringp (car stuff))
 267                (string-match "\\`\\*" (car stuff)))
 268           (setq stuff (cons '* (cons (substring (car stuff) 1)
 269                                      (cdr stuff)))))))
 270   (setq calc-next-why (cons stuff calc-next-why))
 271   nil)
 272
 273 ;;; True if A is a constant or vector of constants.  [P x] [Public]
 274 (defun math-constp (a)
 275   (or (Math-scalarp a)
 276       (and (memq (car a) '(sdev intv mod vec))
 277            (progn
 278              (while (and (setq a (cdr a))
 279                          (or (Math-scalarp (car a))  ; optimization
 280                              (math-constp (car a)))))
 281              (null a)))))
 282
 283
 284 (defun calc-roll-down-stack (n &optional m)
 285   (if (< n 0)
 286       (calc-roll-up-stack (- n) m)
 287     (if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
 288     (or m (setq m 1))
 289     (and (> n 1)
 290          (< m n)
 291          (if (and calc-any-selections
 292                   (not calc-use-selections))
 293              (calc-roll-down-with-selections n m)
 294            (calc-pop-push-list n
 295                                (append (calc-top-list m 1)
 296                                        (calc-top-list (- n m) (1+ m))))))))
 297
 298 (defun calc-roll-up-stack (n &optional m)
 299   (if (< n 0)
 300       (calc-roll-down-stack (- n) m)
 301     (if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
 302     (or m (setq m 1))
 303     (and (> n 1)
 304          (< m n)
 305          (if (and calc-any-selections
 306                   (not calc-use-selections))
 307              (calc-roll-up-with-selections n m)
 308            (calc-pop-push-list n
 309                                (append (calc-top-list (- n m) 1)
 310                                        (calc-top-list m (- n m -1))))))))
 311
 312
 313 (defun calc-do-refresh ()
 314   (if calc-hyperbolic-flag
 315       (progn
 316         (setq calc-display-dirty t)
 317         nil)
 318     (calc-refresh)
 319     t))
 320
 321
 322 (defun calc-record-list (vals &optional prefix)
 323   (while vals
 324     (or (eq (car vals) 'top-of-stack)
 325         (progn
 326           (calc-record (car vals) prefix)
 327           (setq prefix "...")))
 328     (setq vals (cdr vals))))
 329
 330
 331 (defun calc-last-args-stub (arg)
 332   (interactive "p")
 333   (require 'calc-ext)
 334   (calc-last-args arg))
 335
 336
 337 (defun calc-power (arg)
 338   (interactive "P")
 339   (calc-slow-wrapper
 340    (if (and (featurep 'calc-ext)
 341             (calc-is-inverse))
 342        (calc-binary-op "root" 'calcFunc-nroot arg nil nil)
 343      (calc-binary-op "^" 'calcFunc-pow arg nil nil '^))))
 344
 345 (defun calc-mod (arg)
 346   (interactive "P")
 347   (calc-slow-wrapper
 348    (calc-binary-op "%" 'calcFunc-mod arg nil nil '%)))
 349
 350 (defun calc-inv (arg)
 351   (interactive "P")
 352   (calc-slow-wrapper
 353    (calc-unary-op "inv" 'calcFunc-inv arg)))
 354
 355 (defun calc-percent ()
 356   (interactive)
 357   (calc-slow-wrapper
 358    (calc-pop-push-record-list
 359     1 "%" (list (list 'calcFunc-percent (calc-top-n 1))))))
 360
 361
 362 (defun calc-over (n)
 363   (interactive "P")
 364   (if n
 365       (calc-enter (- (prefix-numeric-value n)))
 366     (calc-enter -2)))
 367
 368
 369 (defun calc-pop-above (n)
 370   (interactive "P")
 371   (if n
 372       (calc-pop (- (prefix-numeric-value n)))
 373     (calc-pop -2)))
 374
 375 (defun calc-roll-down (n)
 376   (interactive "P")
 377   (calc-wrapper
 378    (let ((nn (prefix-numeric-value n)))
 379      (cond ((null n)
 380             (calc-roll-down-stack 2))
 381            ((> nn 0)
 382             (calc-roll-down-stack nn))
 383            ((= nn 0)
 384             (calc-pop-push-list (calc-stack-size)
 385                                 (reverse
 386                                  (calc-top-list (calc-stack-size)))))
 387            (t
 388             (calc-roll-down-stack (calc-stack-size) (- nn)))))))
 389
 390 (defun calc-roll-up (n)
 391   (interactive "P")
 392   (calc-wrapper
 393    (let ((nn (prefix-numeric-value n)))
 394      (cond ((null n)
 395             (calc-roll-up-stack 3))
 396            ((> nn 0)
 397             (calc-roll-up-stack nn))
 398            ((= nn 0)
 399             (calc-pop-push-list (calc-stack-size)
 400                                 (reverse
 401                                  (calc-top-list (calc-stack-size)))))
 402            (t
 403             (calc-roll-up-stack (calc-stack-size) (- nn)))))))
 404
 405
 406
 407
 408 ;;; Other commands.
 409
 410 (defun calc-num-prefix-name (n)
 411   (cond ((eq n '-) "- ")
 412         ((equal n '(4)) "C-u ")
 413         ((consp n) (format "%d " (car n)))
 414         ((integerp n) (format "%d " n))
 415         (t "")))
 416
 417 (defun calc-missing-key (n)
 418   "This is a placeholder for a command which needs to be loaded from calc-ext.
 419 When this key is used, calc-ext (the Calculator extensions module) will be
 420 loaded and the keystroke automatically re-typed."
 421   (interactive "P")
 422   (require 'calc-ext)
 423   (if (keymapp (key-binding (char-to-string last-command-char)))
 424       (message "%s%c-" (calc-num-prefix-name n) last-command-char))
 425   (calc-unread-command)
 426   (setq prefix-arg n))
 427
 428 (defun calc-shift-Y-prefix-help ()
 429   (interactive)
 430   (require 'calc-ext)
 431   (calc-do-prefix-help calc-Y-help-msgs "other" ?Y))
 432
 433
 434
 435
 436 (defun calcDigit-letter ()
 437   (interactive)
 438   (if (calc-minibuffer-contains "[-+]?\\(1[1-9]\\|[2-9][0-9]\\)#.*")
 439       (progn
 440         (setq last-command-char (upcase last-command-char))
 441         (calcDigit-key))
 442     (calcDigit-nondigit)))
 443
 444
 445 ;; A Lisp version of temp_minibuffer_message from minibuf.c.
 446 (defun calc-temp-minibuffer-message (m)
 447   (let ((savemax (point-max)))
 448     (save-excursion
 449       (goto-char (point-max))
 450       (insert m))
 451     (let ((okay nil))
 452       (unwind-protect
 453           (progn
 454             (sit-for 2)
 455             (identity 1)   ; this forces a call to QUIT; in bytecode.c.
 456             (setq okay t))
 457         (progn
 458           (delete-region savemax (point-max))
 459           (or okay (abort-recursive-edit)))))))
 460
 461
 462 (put 'math-with-extra-prec 'lisp-indent-hook 1)
 463
 464
 465 ;;; Concatenate two vectors, or a vector and an object.  [V O O] [Public]
 466 (defun math-concat (v1 v2)
 467   (if (stringp v1)
 468       (concat v1 v2)
 469     (require 'calc-ext)
 470     (if (and (or (math-objvecp v1) (math-known-scalarp v1))
 471              (or (math-objvecp v2) (math-known-scalarp v2)))
 472         (append (if (and (math-vectorp v1)
 473                          (or (math-matrixp v1)
 474                              (not (math-matrixp v2))))
 475                     v1
 476                   (list 'vec v1))
 477                 (if (and (math-vectorp v2)
 478                          (or (math-matrixp v2)
 479                              (not (math-matrixp v1))))
 480                     (cdr v2)
 481                   (list v2)))
 482       (list '| v1 v2))))
 483
 484
 485 ;;; True if A is zero.  Works for un-normalized values.  [P n] [Public]
 486 (defun math-zerop (a)
 487   (if (consp a)
 488       (cond ((memq (car a) '(bigpos bigneg))
 489              (while (eq (car (setq a (cdr a))) 0))
 490              (null a))
 491             ((memq (car a) '(frac float polar mod))
 492              (math-zerop (nth 1 a)))
 493             ((eq (car a) 'cplx)
 494              (and (math-zerop (nth 1 a)) (math-zerop (nth 2 a))))
 495             ((eq (car a) 'hms)
 496              (and (math-zerop (nth 1 a))
 497                   (math-zerop (nth 2 a))
 498                   (math-zerop (nth 3 a)))))
 499     (eq a 0)))
 500
 501
 502 ;;; True if A is real and negative.  [P n] [Public]
 503
 504 (defun math-negp (a)
 505   (if (consp a)
 506       (cond ((eq (car a) 'bigpos) nil)
 507             ((eq (car a) 'bigneg) (cdr a))
 508             ((memq (car a) '(float frac))
 509              (Math-integer-negp (nth 1 a)))
 510             ((eq (car a) 'hms)
 511              (if (math-zerop (nth 1 a))
 512                  (if (math-zerop (nth 2 a))
 513                      (math-negp (nth 3 a))
 514                    (math-negp (nth 2 a)))
 515                (math-negp (nth 1 a))))
 516             ((eq (car a) 'date)
 517              (math-negp (nth 1 a)))
 518             ((eq (car a) 'intv)
 519              (or (math-negp (nth 3 a))
 520                  (and (math-zerop (nth 3 a))
 521                       (memq (nth 1 a) '(0 2)))))
 522             ((equal a '(neg (var inf var-inf))) t))
 523     (< a 0)))
 524
 525 ;;; True if A is a negative number or an expression the starts with '-'.
 526 (defun math-looks-negp (a)   ; [P x] [Public]
 527   (or (Math-negp a)
 528       (eq (car-safe a) 'neg)
 529       (and (memq (car-safe a) '(* /))
 530            (or (math-looks-negp (nth 1 a))
 531                (math-looks-negp (nth 2 a))))
 532       (and (eq (car-safe a) '-)
 533            (math-looks-negp (nth 1 a)))))
 534
 535
 536 ;;; True if A is real and positive.  [P n] [Public]
 537 (defun math-posp (a)
 538   (if (consp a)
 539       (cond ((eq (car a) 'bigpos) (cdr a))
 540             ((eq (car a) 'bigneg) nil)
 541             ((memq (car a) '(float frac))
 542              (Math-integer-posp (nth 1 a)))
 543             ((eq (car a) 'hms)
 544              (if (math-zerop (nth 1 a))
 545                  (if (math-zerop (nth 2 a))
 546                      (math-posp (nth 3 a))
 547                    (math-posp (nth 2 a)))
 548                (math-posp (nth 1 a))))
 549             ((eq (car a) 'date)
 550              (math-posp (nth 1 a)))
 551             ((eq (car a) 'mod)
 552              (not (math-zerop (nth 1 a))))
 553             ((eq (car a) 'intv)
 554              (or (math-posp (nth 2 a))
 555                  (and (math-zerop (nth 2 a))
 556                       (memq (nth 1 a) '(0 1)))))
 557             ((equal a '(var inf var-inf)) t))
 558     (> a 0)))
 559
 560 (defalias 'math-fixnump 'integerp)
 561 (defalias 'math-fixnatnump 'natnump)
 562
 563
 564 ;;; True if A is an even integer.  [P R R] [Public]
 565 (defun math-evenp (a)
 566   (if (consp a)
 567       (and (memq (car a) '(bigpos bigneg))
 568            (= (% (nth 1 a) 2) 0))
 569     (= (% a 2) 0)))
 570
 571 ;;; Compute A / 2, for small or big integer A.  [I i]
 572 ;;; If A is negative, type of truncation is undefined.
 573 (defun math-div2 (a)
 574   (if (consp a)
 575       (if (cdr a)
 576           (math-normalize (cons (car a) (math-div2-bignum (cdr a))))
 577         0)
 578     (/ a 2)))
 579
 580 (defun math-div2-bignum (a)   ; [l l]
 581   (if (cdr a)
 582       (cons (+ (/ (car a) 2) (* (% (nth 1 a) 2) (/ math-bignum-digit-size 2)))
 583             (math-div2-bignum (cdr a)))
 584     (list (/ (car a) 2))))
 585
 586
 587 ;;; Reject an argument to a calculator function.  [Public]
 588 (defun math-reject-arg (&optional a p option)
 589   (if option
 590       (calc-record-why option p a)
 591     (if p
 592         (calc-record-why p a)))
 593   (signal 'wrong-type-argument (and a (if p (list p a) (list a)))))
 594
 595
 596 ;;; Coerce A to be an integer (by truncation toward zero).  [I N] [Public]
 597
 598 ;; The variable math-trunc-prec is local to math-trunc, but used by
 599 ;; math-trunc-fancy in calc-arith.el, which is called by math-trunc.
 600
 601 (defun math-trunc (a &optional math-trunc-prec)
 602   (cond (math-trunc-prec
 603          (require 'calc-ext)
 604          (math-trunc-special a math-trunc-prec))
 605         ((Math-integerp a) a)
 606         ((Math-looks-negp a)
 607          (math-neg (math-trunc (math-neg a))))
 608         ((eq (car a) 'float)
 609          (math-scale-int (nth 1 a) (nth 2 a)))
 610         (t (require 'calc-ext)
 611            (math-trunc-fancy a))))
 612 (defalias 'calcFunc-trunc 'math-trunc)
 613
 614 ;;; Coerce A to be an integer (by truncation toward minus infinity).  [I N]
 615
 616 ;; The variable math-floor-prec is local to math-floor, but used by
 617 ;; math-floor-fancy in calc-arith.el, which is called by math-floor.
 618
 619 (defun math-floor (a &optional math-floor-prec)    ;  [Public]
 620   (cond (math-floor-prec
 621          (require 'calc-ext)
 622          (math-floor-special a math-floor-prec))
 623         ((Math-integerp a) a)
 624         ((Math-messy-integerp a) (math-trunc a))
 625         ((Math-realp a)
 626          (if (Math-negp a)
 627              (math-add (math-trunc a) -1)
 628            (math-trunc a)))
 629         (t (require 'calc-ext)
 630            (math-floor-fancy a))))
 631 (defalias 'calcFunc-floor 'math-floor)
 632
 633
 634 (defun math-imod (a b)   ; [I I I] [Public]
 635   (if (and (not (consp a)) (not (consp b)))
 636       (if (= b 0)
 637           (math-reject-arg a "*Division by zero")
 638         (% a b))
 639     (cdr (math-idivmod a b))))
 640
 641
 642 (defun calcFunc-inv (m)
 643   (if (Math-vectorp m)
 644       (progn
 645         (require 'calc-ext)
 646         (if (math-square-matrixp m)
 647             (or (math-with-extra-prec 2 (math-matrix-inv-raw m))
 648                 (math-reject-arg m "*Singular matrix"))
 649           (math-reject-arg m 'square-matrixp)))
 650     (if (and
 651          (require 'calc-arith)
 652          (math-known-matrixp m))
 653         (math-pow m -1)
 654       (math-div 1 m))))
 655
 656 (defun math-do-working (msg arg)
 657   (or executing-kbd-macro
 658       (progn
 659         (calc-set-command-flag 'clear-message)
 660         (if math-working-step
 661             (if math-working-step-2
 662                 (setq msg (format "[%d/%d] %s"
 663                                   math-working-step math-working-step-2 msg))
 664               (setq msg (format "[%d] %s" math-working-step msg))))
 665         (message "Working... %s = %s" msg
 666                  (math-showing-full-precision (math-format-number arg))))))
 667
 668
 669 ;;; Compute A modulo B, defined in terms of truncation toward minus infinity.
 670 (defun math-mod (a b)   ; [R R R] [Public]
 671   (cond ((and (Math-zerop a) (not (eq (car-safe a) 'mod))) a)
 672         ((Math-zerop b)
 673          (math-reject-arg a "*Division by zero"))
 674         ((and (Math-natnump a) (Math-natnump b))
 675          (math-imod a b))
 676         ((and (Math-anglep a) (Math-anglep b))
 677          (math-sub a (math-mul (math-floor (math-div a b)) b)))
 678         (t (require 'calc-ext)
 679            (math-mod-fancy a b))))
 680
 681
 682
 683 ;;; General exponentiation.
 684
 685 (defun math-pow (a b)   ; [O O N] [Public]
 686   (cond ((equal b '(var nan var-nan))
 687          b)
 688         ((Math-zerop a)
 689          (if (and (Math-scalarp b) (Math-posp b))
 690              (if (math-floatp b) (math-float a) a)
 691            (require 'calc-ext)
 692            (math-pow-of-zero a b)))
 693         ((or (eq a 1) (eq b 1)) a)
 694         ((or (equal a '(float 1 0)) (equal b '(float 1 0))) a)
 695         ((Math-zerop b)
 696          (if (Math-scalarp a)
 697              (if (or (math-floatp a) (math-floatp b))
 698                  '(float 1 0) 1)
 699            (require 'calc-ext)
 700            (math-pow-zero a b)))
 701         ((and (Math-integerp b) (or (Math-numberp a) (Math-vectorp a)))
 702          (if (and (equal a '(float 1 1)) (integerp b))
 703              (math-make-float 1 b)
 704            (math-with-extra-prec 2
 705              (math-ipow a b))))
 706         (t
 707          (require 'calc-ext)
 708          (math-pow-fancy a b))))
 709
 710 (defun math-ipow (a n)   ; [O O I] [Public]
 711   (cond ((Math-integer-negp n)
 712          (math-ipow (math-div 1 a) (Math-integer-neg n)))
 713         ((not (consp n))
 714          (if (and (Math-ratp a) (> n 20))
 715              (math-iipow-show a n)
 716            (math-iipow a n)))
 717         ((math-evenp n)
 718          (math-ipow (math-mul a a) (math-div2 n)))
 719         (t
 720          (math-mul a (math-ipow (math-mul a a)
 721                                 (math-div2 (math-add n -1)))))))
 722
 723 (defun math-iipow (a n)   ; [O O S]
 724   (cond ((= n 0) 1)
 725         ((= n 1) a)
 726         ((= (% n 2) 0) (math-iipow (math-mul a a) (/ n 2)))
 727         (t (math-mul a (math-iipow (math-mul a a) (/ n 2))))))
 728
 729 (defun math-iipow-show (a n)   ; [O O S]
 730   (math-working "pow" a)
 731   (let ((val (cond
 732               ((= n 0) 1)
 733               ((= n 1) a)
 734               ((= (% n 2) 0) (math-iipow-show (math-mul a a) (/ n 2)))
 735               (t (math-mul a (math-iipow-show (math-mul a a) (/ n 2)))))))
 736     (math-working "pow" val)
 737     val))
 738
 739
 740 (defun math-read-radix-digit (dig)   ; [D S; Z S]
 741   (if (> dig ?9)
 742       (if (< dig ?A)
 743           nil
 744         (- dig 55))
 745     (if (>= dig ?0)
 746         (- dig ?0)
 747       nil)))
 748
 749
 750 ;;; Bug reporting
 751
 752 (defun report-calc-bug ()
 753   "Report a bug in Calc, the GNU Emacs calculator.
 754 Prompts for bug subject.  Leaves you in a mail buffer."
 755   (interactive)
 756   (let ((reporter-prompt-for-summary-p t))
 757     (reporter-submit-bug-report calc-bug-address "Calc" '(calc-version)
 758                                 nil nil
 759                                 "Please describe exactly what actions triggered the bug and the
 760 precise symptoms of the bug.  If possible, include a backtrace by
 761 doing 'M-x toggle-debug-on-error', then reproducing the bug.
 762 " )))
 763 (defalias 'calc-report-bug 'report-calc-bug)
 764
 765 (provide 'calc-misc)
 766
 767 ;;; arch-tag: 7984d9d0-62e5-41dc-afb8-e904b975f250
 768 ;;; calc-misc.el ends here