Initial import of Calc 2.02f.

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diff --git a/lisp/calc/calc-misc.el b/lisp/calc/calc-misc.el
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+;; Calculator for GNU Emacs, part I [calc-misc.el]
+;; Copyright (C) 1990, 1991, 1992, 1993 Free Software Foundation, Inc.
+;; Written by Dave Gillespie, daveg@synaptics.com.
+
+;; This file is part of GNU Emacs.
+
+;; GNU Emacs is distributed in the hope that it will be useful,
+;; but WITHOUT ANY WARRANTY.  No author or distributor
+;; accepts responsibility to anyone for the consequences of using it
+;; or for whether it serves any particular purpose or works at all,
+;; unless he says so in writing.  Refer to the GNU Emacs General Public
+;; License for full details.
+
+;; Everyone is granted permission to copy, modify and redistribute
+;; GNU Emacs, but only under the conditions described in the
+;; GNU Emacs General Public License.   A copy of this license is
+;; supposed to have been given to you along with GNU Emacs so you
+;; can know your rights and responsibilities.  It should be in a
+;; file named COPYING.  Among other things, the copyright notice
+;; and this notice must be preserved on all copies.
+
+
+
+;; This file is autoloaded from calc.el.
+(require 'calc)
+
+(require 'calc-macs)
+
+(defun calc-Need-calc-misc () nil)
+
+
+(defun calc-dispatch-help (arg)
+  "M-# is a prefix key; follow it with one of these letters:
+
+For turning Calc on and off:
+  C  calc.  Start the Calculator in a window at the bottom of the screen.
+  O  calc-other-window.  Start the Calculator but don't select its window.
+  B  calc-big-or-small.  Control whether to use the full Emacs screen for Calc.
+  Q  quick-calc.  Use the Calculator in the minibuffer.
+  K  calc-keypad.  Start the Calculator in keypad mode (X window system only).
+  E  calc-embedded.  Use the Calculator on a formula in this editing buffer.
+  J  calc-embedded-select.  Like E, but select appropriate half of => or :=.
+  W  calc-embedded-word.  Like E, but activate a single word, i.e., a number.
+  Z  calc-user-invocation.  Invoke Calc in the way you defined with `Z I' cmd.
+  X  calc-quit.  Turn Calc off.
+
+For moving data into and out of Calc:
+  G  calc-grab-region.  Grab the region defined by mark and point into Calc.
+  R  calc-grab-rectangle.  Grab the rectangle defined by mark, point into Calc.
+  :  calc-grab-sum-down.  Grab a rectangle and sum the columns.
+  _  calc-grab-sum-across.  Grab a rectangle and sum the rows.
+  Y  calc-copy-to-buffer.  Copy a value from the stack into the editing buffer.
+
+For use with Embedded mode:
+  A  calc-embedded-activate.  Find and activate all :='s and =>'s in buffer.
+  D  calc-embedded-duplicate.  Make a copy of this formula and select it.
+  F  calc-embedded-new-formula.  Insert a new formula at current point.
+  N  calc-embedded-next.  Advance cursor to next known formula in buffer.
+  P  calc-embedded-previous.  Advance cursor to previous known formula.
+  U  calc-embedded-update-formula.  Re-evaluate formula at point.
+  `  calc-embedded-edit.  Use calc-edit to edit formula at point.
+
+Documentation:
+  I  calc-info.  Read the Calculator manual in the Emacs Info system.
+  T  calc-tutorial.  Run the Calculator Tutorial using the Emacs Info system.
+  S  calc-summary.  Read the Summary from the Calculator manual in Info.
+
+Miscellaneous:
+  L  calc-load-everything.  Load all parts of the Calculator into memory.
+  M  read-kbd-macro.  Read a region of keystroke names as a keyboard macro.
+  0  (zero) calc-reset.  Reset Calc stack and modes to default state.
+
+Press twice (`M-# M-#' or `M-# #') to turn Calc on or off using the same
+Calc user interface as before (either M-# C or M-# K; initially M-# C)."
+  (interactive "P")
+  (calc-check-defines)
+  (if calc-dispatch-help
+      (progn
+	(save-window-excursion
+	  (describe-function 'calc-dispatch-help)
+	  (let ((win (get-buffer-window "*Help*")))
+	    (if win
+		(let (key)
+		  (select-window win)
+		  (while (progn
+			   (message "Calc options: Calc, Keypad, ...  %s"
+				    "press SPC, DEL to scroll, C-g to cancel")
+			   (memq (car (setq key (calc-read-key t)))
+				 '(?  ?\C-h ?\C-? ?\C-v ?\M-v)))
+		    (condition-case err
+			(if (memq (car key) '(?  ?\C-v))
+			    (scroll-up)
+			  (scroll-down))
+		      (error (beep))))
+		      (calc-unread-command (cdr key))))))
+	(calc-do-dispatch nil))
+    (let ((calc-dispatch-help t))
+      (calc-do-dispatch arg)))
+)
+
+
+(defun calc-big-or-small (arg)
+  "Toggle Calc between full-screen and regular mode."
+  (interactive "P")
+  (let ((cwin (get-buffer-window "*Calculator*"))
+	(twin (get-buffer-window "*Calc Trail*"))
+	(kwin (get-buffer-window "*Calc Keypad*")))
+    (if cwin
+	(setq calc-full-mode
+	      (if kwin
+		  (and twin (eq (window-width twin) (screen-width)))
+		(eq (window-height cwin) (1- (screen-height))))))
+    (setq calc-full-mode (if arg
+			     (> (prefix-numeric-value arg) 0)
+			   (not calc-full-mode)))
+    (if kwin
+	(progn
+	  (calc-quit)
+	  (calc-do-keypad calc-full-mode nil))
+      (if cwin
+	  (progn
+	    (calc-quit)
+	    (calc nil calc-full-mode nil))))
+    (message (if calc-full-mode
+		 "Now using full screen for Calc."
+	       "Now using partial screen for Calc.")))
+)
+
+(defun calc-other-window ()
+  "Invoke the Calculator in another window."
+  (interactive)
+  (if (memq major-mode '(calc-mode calc-trail-mode))
+      (progn
+	(other-window 1)
+	(if (memq major-mode '(calc-mode calc-trail-mode))
+	    (other-window 1)))
+    (if (get-buffer-window "*Calculator*")
+	(calc-quit)
+      (let ((win (selected-window)))
+	(calc nil win (interactive-p)))))
+)
+
+(defun another-calc ()
+  "Create another, independent Calculator buffer."
+  (interactive)
+  (if (eq major-mode 'calc-mode)
+      (mapcar (function
+	       (lambda (v)
+		 (set-default v (symbol-value v)))) calc-local-var-list))
+  (set-buffer (generate-new-buffer "*Calculator*"))
+  (pop-to-buffer (current-buffer))
+  (calc-mode)
+)
+
+
+;;; Make an attempt to preserve the window configuration, while deleting
+;;; windows on "bufs".  Emacs 19's delete-window function will probably
+;;; make this kludgery unnecessary, but Emacs 18's tendency to grow all
+;;; windows on the screen to take up the slack from the deleted windows
+;;; can be annoying when Calc was called during another multi-window
+;;; application, such as GNUS.
+
+(defun calc-delete-windows-keep (&rest bufs)
+  (if (one-window-p)
+      (mapcar 'delete-windows-on bufs)
+    (let* ((w (car calc-was-split))
+	   (e (window-edges w))
+	   (wins nil)
+	   w2 e2)
+      (while (progn
+	       (setq w2 (previous-window w)
+		     e2 (window-edges w2))
+	       (and (= (car e2) (car e))
+		    (= (nth 2 e2) (nth 2 e))
+		    (< (nth 1 e2) (nth 1 e))))
+	(setq w w2 e e2))
+      (setq w2 w e2 e)
+      (while (progn
+	       (setq wins (cons (list w (nth 1 e) (window-buffer w)
+				      (window-point w) (window-start w))
+				wins)
+		     w (next-window w)
+		     e (window-edges w))
+	       (and (not (eq w w2))
+		    (= (car e2) (car e))
+		    (= (nth 2 e2) (nth 2 e)))))
+      (setq wins (nreverse wins))
+      (mapcar 'delete-windows-on bufs)
+      (or (one-window-p)
+	  (let ((w wins)
+		(main nil)
+		(mainpos 0)
+		(sel (if (window-point (nth 2 calc-was-split))
+			 (nth 2 calc-was-split)
+		       (selected-window))))
+	    (while w
+	      (if (window-point (car (car w)))
+		  (if main
+		      (delete-window (car (car w)))
+		    (setq main (car (car w))
+			  mainpos (nth 1 (car w))
+			  wins (cdr wins)))
+		(setq wins (delq (car w) wins)))
+	      (setq w (cdr w)))
+	    (while wins
+	      (setq w (split-window main
+				    (if (eq main (car calc-was-split))
+					(nth 1 calc-was-split)
+				      (- (nth 1 (car wins)) mainpos))))
+	      (set-window-buffer w (nth 2 (car wins)))
+	      (set-window-point w (nth 3 (car wins)))
+	      (set-window-start w (nth 4 (car wins)))
+	      (if (eq sel (car (car wins)))
+		  (select-window w))
+	      (setq main w
+		    mainpos (nth 1 (car wins))
+		    wins (cdr wins)))
+	    (if (window-point sel)
+		(select-window sel))))))
+)
+
+
+(defun calc-info ()
+  "Run the Emacs Info system on the Calculator documentation."
+  (interactive)
+  (require 'info)
+  (select-window (get-largest-window))
+  (or (file-name-absolute-p calc-info-filename)
+       (let ((p load-path)
+	     name)
+	 (if (boundp 'Info-directory)
+	     (setq p (cons Info-directory p)))
+	 (while (and p (not (file-exists-p
+			     (setq name (expand-file-name calc-info-filename
+							  (car p))))))
+	   (setq p (cdr p)))
+	 (if p (setq calc-info-filename name))))
+  (condition-case err
+      (info)
+    (error nil))
+  (or (and (boundp 'Info-current-file)
+	   (stringp Info-current-file)
+	   (string-match "calc" Info-current-file))
+      (Info-find-node calc-info-filename "Top"))
+)
+
+(defun calc-tutorial ()
+  "Run the Emacs Info system on the Calculator Tutorial."
+  (interactive)
+  (if (get-buffer-window "*Calculator*")
+      (calc-quit))
+  (calc-info)
+  (Info-goto-node "Interactive Tutorial")
+  (calc-other-window)
+  (message "Welcome to the Calc Tutorial!")
+)
+
+(defun calc-info-summary ()
+  "Run the Emacs Info system on the Calculator Summary."
+  (interactive)
+  (calc-info)
+  (Info-goto-node "Summary")
+)
+
+(defun calc-help ()
+  (interactive)
+  (let ((msgs (append
+	 '("Press `h' for complete help; press `?' repeatedly for a summary"
+	   "Letter keys: Negate; Precision; Yank; Why; Xtended cmd; Quit"
+	   "Letter keys: SHIFT + Undo, reDo; Keep-args; Inverse, Hyperbolic"
+	   "Letter keys: SHIFT + sQrt; Sin, Cos, Tan; Exp, Ln, logB"
+	   "Letter keys: SHIFT + Floor, Round; Abs, conJ, arG; Pi"
+	   "Letter keys: SHIFT + Num-eval; More-recn; eXec-kbd-macro"
+	   "Other keys: +, -, *, /, ^, \\ (int div), : (frac div)"
+	   "Other keys: & (1/x), | (concat), % (modulo), ! (factorial)"
+	   "Other keys: ' (alg-entry), = (eval), ` (edit); M-RET (last-args)"
+	   "Other keys: SPC/RET (enter/dup), LFD (over); < > (scroll horiz)"
+	   "Other keys: DEL (drop), M-DEL (drop-above); { } (scroll vert)"
+	   "Other keys: TAB (swap/roll-dn), M-TAB (roll-up)"
+	   "Other keys: [ , ; ] (vector), ( , ) (complex), ( ; ) (polar)"
+	   "Prefix keys: Algebra, Binary/business, Convert, Display"
+	   "Prefix keys: Functions, Graphics, Help, J (select)"
+	   "Prefix keys: Kombinatorics/statistics, Modes, Store/recall"
+	   "Prefix keys: Trail/time, Units/statistics, Vector/matrix"
+	   "Prefix keys: Z (user), SHIFT + Z (define)"
+	   "Prefix keys: prefix + ? gives further help for that prefix")
+	 (list (format
+		"  Calc %s by Dave Gillespie, daveg@synaptics.com"
+		calc-version)))))
+    (if calc-full-help-flag
+	msgs
+      (if (or calc-inverse-flag calc-hyperbolic-flag)
+	  (if calc-inverse-flag
+	      (if calc-hyperbolic-flag
+		  (calc-inv-hyp-prefix-help)
+		(calc-inverse-prefix-help))
+	    (calc-hyperbolic-prefix-help))
+	(setq calc-help-phase
+	      (if (eq this-command last-command)
+		  (% (1+ calc-help-phase) (1+ (length msgs)))
+		0))
+	(let ((msg (nth calc-help-phase msgs)))
+	  (message "%s" (if msg
+			    (concat msg ":"
+				    (make-string (- (apply 'max
+							   (mapcar 'length
+								   msgs))
+						    (length msg)) 32)
+				    "  [?=MORE]")
+			  ""))))))
+)
+
+
+
+
+;;;; Stack and buffer management.
+
+
+(defun calc-do-handle-whys ()
+  (setq calc-why (sort calc-next-why
+		       (function
+			(lambda (x y)
+			  (and (eq (car x) '*) (not (eq (car y) '*))))))
+	calc-next-why nil)
+  (if (and calc-why (or (eq calc-auto-why t)
+			(and (eq (car (car calc-why)) '*)
+			     calc-auto-why)))
+      (progn
+	(calc-extensions)
+	(calc-explain-why (car calc-why)
+			  (if (eq calc-auto-why t)
+			      (cdr calc-why)
+			    (if calc-auto-why
+				(eq (car (nth 1 calc-why)) '*))))
+	(setq calc-last-why-command this-command)
+	(calc-clear-command-flag 'clear-message)))
+)
+
+(defun calc-record-why (&rest stuff)
+  (if (eq (car stuff) 'quiet)
+      (setq stuff (cdr stuff))
+    (if (and (symbolp (car stuff))
+	     (cdr stuff)
+	     (or (Math-objectp (nth 1 stuff))
+		 (and (Math-vectorp (nth 1 stuff))
+		      (math-constp (nth 1 stuff)))
+		 (math-infinitep (nth 1 stuff))))
+	(setq stuff (cons '* stuff))
+      (if (and (stringp (car stuff))
+	       (string-match "\\`\\*" (car stuff)))
+	  (setq stuff (cons '* (cons (substring (car stuff) 1)
+				     (cdr stuff)))))))
+  (setq calc-next-why (cons stuff calc-next-why))
+  nil
+)
+
+;;; True if A is a constant or vector of constants.  [P x] [Public]
+(defun math-constp (a)
+  (or (Math-scalarp a)
+      (and (memq (car a) '(sdev intv mod vec))
+	   (progn
+	     (while (and (setq a (cdr a))
+			 (or (Math-scalarp (car a))  ; optimization
+			     (math-constp (car a)))))
+	     (null a))))
+)
+
+
+(defun calc-roll-down-stack (n &optional m)
+  (if (< n 0)
+      (calc-roll-up-stack (- n) m)
+    (if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
+    (or m (setq m 1))
+    (and (> n 1)
+	 (< m n)
+	 (if (and calc-any-selections
+		  (not calc-use-selections))
+	     (calc-roll-down-with-selections n m)
+	   (calc-pop-push-list n
+			       (append (calc-top-list m 1)
+				       (calc-top-list (- n m) (1+ m)))))))
+)
+
+(defun calc-roll-up-stack (n &optional m)
+  (if (< n 0)
+      (calc-roll-down-stack (- n) m)
+    (if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
+    (or m (setq m 1))
+    (and (> n 1)
+	 (< m n)
+	 (if (and calc-any-selections
+		  (not calc-use-selections))
+	     (calc-roll-up-with-selections n m)
+	   (calc-pop-push-list n
+			       (append (calc-top-list (- n m) 1)
+				       (calc-top-list m (- n m -1)))))))
+)
+
+
+(defun calc-do-refresh ()
+  (if calc-hyperbolic-flag
+      (progn
+	(setq calc-display-dirty t)
+	nil)
+    (calc-refresh)
+    t)
+)
+
+
+(defun calc-record-list (vals &optional prefix)
+  (while vals
+    (or (eq (car vals) 'top-of-stack)
+	(progn
+	  (calc-record (car vals) prefix)
+	  (setq prefix "...")))
+    (setq vals (cdr vals)))
+)
+
+
+(defun calc-last-args-stub (arg)
+  (interactive "p")
+  (calc-extensions)
+  (calc-last-args arg)
+)
+
+
+(defun calc-power (arg)
+  (interactive "P")
+  (calc-slow-wrapper
+   (if (and calc-extensions-loaded
+	    (calc-is-inverse))
+       (calc-binary-op "root" 'calcFunc-nroot arg nil nil)
+     (calc-binary-op "^" 'calcFunc-pow arg nil nil '^)))
+)
+
+(defun calc-mod (arg)
+  (interactive "P")
+  (calc-slow-wrapper
+   (calc-binary-op "%" 'calcFunc-mod arg nil nil '%))
+)
+
+(defun calc-inv (arg)
+  (interactive "P")
+  (calc-slow-wrapper
+   (calc-unary-op "inv" 'calcFunc-inv arg))
+)
+
+(defun calc-percent ()
+  (interactive)
+  (calc-slow-wrapper
+   (calc-pop-push-record-list
+    1 "%" (list (list 'calcFunc-percent (calc-top-n 1)))))
+)
+
+
+(defun calc-over (n)
+  (interactive "P")
+  (if n
+      (calc-enter (- (prefix-numeric-value n)))
+    (calc-enter -2))
+)
+
+
+(defun calc-pop-above (n)
+  (interactive "P")
+  (if n
+      (calc-pop (- (prefix-numeric-value n)))
+    (calc-pop -2))
+)
+
+(defun calc-roll-down (n)
+  (interactive "P")
+  (calc-wrapper
+   (let ((nn (prefix-numeric-value n)))
+     (cond ((null n)
+	    (calc-roll-down-stack 2))
+	   ((> nn 0)
+	    (calc-roll-down-stack nn))
+	   ((= nn 0)
+	    (calc-pop-push-list (calc-stack-size)
+				(reverse
+				 (calc-top-list (calc-stack-size)))))
+	   (t
+	    (calc-roll-down-stack (calc-stack-size) (- nn))))))
+)
+
+(defun calc-roll-up (n)
+  (interactive "P")
+  (calc-wrapper
+   (let ((nn (prefix-numeric-value n)))
+     (cond ((null n)
+	    (calc-roll-up-stack 3))
+	   ((> nn 0)
+	    (calc-roll-up-stack nn))
+	   ((= nn 0)
+	    (calc-pop-push-list (calc-stack-size)
+				(reverse
+				 (calc-top-list (calc-stack-size)))))
+	   (t
+	    (calc-roll-up-stack (calc-stack-size) (- nn))))))
+)
+
+
+
+
+;;; Other commands.
+
+(defun calc-num-prefix-name (n)
+  (cond ((eq n '-) "- ")
+	((equal n '(4)) "C-u ")
+	((consp n) (format "%d " (car n)))
+	((integerp n) (format "%d " n))
+	(t ""))
+)
+
+(defun calc-missing-key (n)
+  "This is a placeholder for a command which needs to be loaded from calc-ext.
+When this key is used, calc-ext (the Calculator extensions module) will be
+loaded and the keystroke automatically re-typed."
+  (interactive "P")
+  (calc-extensions)
+  (if (keymapp (key-binding (char-to-string last-command-char)))
+      (message "%s%c-" (calc-num-prefix-name n) last-command-char))
+  (calc-unread-command)
+  (setq prefix-arg n)
+)
+
+(defun calc-shift-Y-prefix-help ()
+  (interactive)
+  (calc-extensions)
+  (calc-do-prefix-help calc-Y-help-msgs "other" ?Y)
+)
+
+
+
+
+(defun calcDigit-letter ()
+  (interactive)
+  (if (calc-minibuffer-contains "[-+]?\\(1[1-9]\\|[2-9][0-9]\\)#.*")
+      (progn
+	(setq last-command-char (upcase last-command-char))
+	(calcDigit-key))
+    (calcDigit-nondigit))
+)
+
+
+;; A Lisp version of temp_minibuffer_message from minibuf.c.
+(defun calc-temp-minibuffer-message (m)
+  (let ((savemax (point-max)))
+    (save-excursion
+      (goto-char (point-max))
+      (insert m))
+    (let ((okay nil))
+      (unwind-protect
+	  (progn
+	    (sit-for 2)
+	    (identity 1)   ; this forces a call to QUIT; in bytecode.c.
+	    (setq okay t))
+	(progn
+	  (delete-region savemax (point-max))
+	  (or okay (abort-recursive-edit))))))
+)
+
+
+(put 'math-with-extra-prec 'lisp-indent-hook 1)
+
+
+;;; Concatenate two vectors, or a vector and an object.  [V O O] [Public]
+(defun math-concat (v1 v2)
+  (if (stringp v1)
+      (concat v1 v2)
+    (calc-extensions)
+    (if (and (or (math-objvecp v1) (math-known-scalarp v1))
+	     (or (math-objvecp v2) (math-known-scalarp v2)))
+	(append (if (and (math-vectorp v1)
+			 (or (math-matrixp v1)
+			     (not (math-matrixp v2))))
+		    v1
+		  (list 'vec v1))
+		(if (and (math-vectorp v2)
+			 (or (math-matrixp v2)
+			     (not (math-matrixp v1))))
+		    (cdr v2)
+		  (list v2)))
+      (list '| v1 v2)))
+)
+
+
+;;; True if A is zero.  Works for un-normalized values.  [P n] [Public]
+(defun math-zerop (a)
+  (if (consp a)
+      (cond ((memq (car a) '(bigpos bigneg))
+	     (while (eq (car (setq a (cdr a))) 0))
+	     (null a))
+	    ((memq (car a) '(frac float polar mod))
+	     (math-zerop (nth 1 a)))
+	    ((eq (car a) 'cplx)
+	     (and (math-zerop (nth 1 a)) (math-zerop (nth 2 a))))
+	    ((eq (car a) 'hms)
+	     (and (math-zerop (nth 1 a))
+		  (math-zerop (nth 2 a))
+		  (math-zerop (nth 3 a)))))
+    (eq a 0))
+)
+
+
+;;; True if A is real and negative.  [P n] [Public]
+
+(defun math-negp (a)
+  (if (consp a)
+      (cond ((eq (car a) 'bigpos) nil)
+	    ((eq (car a) 'bigneg) (cdr a))
+	    ((memq (car a) '(float frac))
+	     (Math-integer-negp (nth 1 a)))
+	    ((eq (car a) 'hms)
+	     (if (math-zerop (nth 1 a))
+		 (if (math-zerop (nth 2 a))
+		     (math-negp (nth 3 a))
+		   (math-negp (nth 2 a)))
+	       (math-negp (nth 1 a))))
+	    ((eq (car a) 'date)
+	     (math-negp (nth 1 a)))
+	    ((eq (car a) 'intv)
+	     (or (math-negp (nth 3 a))
+		 (and (math-zerop (nth 3 a))
+		      (memq (nth 1 a) '(0 2)))))
+	    ((equal a '(neg (var inf var-inf))) t))
+    (< a 0))
+)
+
+;;; True if A is a negative number or an expression the starts with '-'.
+(defun math-looks-negp (a)   ; [P x] [Public]
+  (or (Math-negp a)
+      (eq (car-safe a) 'neg)
+      (and (memq (car-safe a) '(* /))
+	   (or (math-looks-negp (nth 1 a))
+	       (math-looks-negp (nth 2 a))))
+      (and (eq (car-safe a) '-)
+	   (math-looks-negp (nth 1 a))))
+)
+
+
+;;; True if A is real and positive.  [P n] [Public]
+(defun math-posp (a)
+  (if (consp a)
+      (cond ((eq (car a) 'bigpos) (cdr a))
+	    ((eq (car a) 'bigneg) nil)
+	    ((memq (car a) '(float frac))
+	     (Math-integer-posp (nth 1 a)))
+	    ((eq (car a) 'hms)
+	     (if (math-zerop (nth 1 a))
+		 (if (math-zerop (nth 2 a))
+		     (math-posp (nth 3 a))
+		   (math-posp (nth 2 a)))
+	       (math-posp (nth 1 a))))
+	    ((eq (car a) 'date)
+	     (math-posp (nth 1 a)))
+	    ((eq (car a) 'mod)
+	     (not (math-zerop (nth 1 a))))
+	    ((eq (car a) 'intv)
+	     (or (math-posp (nth 2 a))
+		 (and (math-zerop (nth 2 a))
+		      (memq (nth 1 a) '(0 1)))))
+	    ((equal a '(var inf var-inf)) t))
+    (> a 0))
+)
+
+(fset 'math-fixnump (symbol-function 'integerp))
+(fset 'math-fixnatnump (symbol-function 'natnump))
+
+
+;;; True if A is an even integer.  [P R R] [Public]
+(defun math-evenp (a)
+  (if (consp a)
+      (and (memq (car a) '(bigpos bigneg))
+	   (= (% (nth 1 a) 2) 0))
+    (= (% a 2) 0))
+)
+
+;;; Compute A / 2, for small or big integer A.  [I i]
+;;; If A is negative, type of truncation is undefined.
+(defun math-div2 (a)
+  (if (consp a)
+      (if (cdr a)
+	  (math-normalize (cons (car a) (math-div2-bignum (cdr a))))
+	0)
+    (/ a 2))
+)
+
+(defun math-div2-bignum (a)   ; [l l]
+  (if (cdr a)
+      (cons (+ (/ (car a) 2) (* (% (nth 1 a) 2) 500))
+	    (math-div2-bignum (cdr a)))
+    (list (/ (car a) 2)))
+)
+
+
+;;; Reject an argument to a calculator function.  [Public]
+(defun math-reject-arg (&optional a p option)
+  (if option
+      (calc-record-why option p a)
+    (if p
+	(calc-record-why p a)))
+  (signal 'wrong-type-argument (and a (if p (list p a) (list a))))
+)
+
+
+;;; Coerce A to be an integer (by truncation toward zero).  [I N] [Public]
+(defun math-trunc (a &optional prec)
+  (cond (prec
+	 (calc-extensions)
+	 (math-trunc-special a prec))
+	((Math-integerp a) a)
+	((Math-looks-negp a)
+	 (math-neg (math-trunc (math-neg a))))
+	((eq (car a) 'float)
+	 (math-scale-int (nth 1 a) (nth 2 a)))
+	(t (calc-extensions)
+	   (math-trunc-fancy a)))
+)
+(fset 'calcFunc-trunc (symbol-function 'math-trunc))
+
+;;; Coerce A to be an integer (by truncation toward minus infinity).  [I N]
+(defun math-floor (a &optional prec)    ;  [Public]
+  (cond (prec
+	 (calc-extensions)
+	 (math-floor-special a prec))
+	((Math-integerp a) a)
+	((Math-messy-integerp a) (math-trunc a))
+	((Math-realp a)
+	 (if (Math-negp a)
+	     (math-add (math-trunc a) -1)
+	   (math-trunc a)))
+	(t (calc-extensions)
+	   (math-floor-fancy a)))
+)
+(fset 'calcFunc-floor (symbol-function 'math-floor))
+
+
+(defun math-imod (a b)   ; [I I I] [Public]
+  (if (and (not (consp a)) (not (consp b)))
+      (if (= b 0)
+	  (math-reject-arg a "*Division by zero")
+	(% a b))
+    (cdr (math-idivmod a b)))
+)
+
+
+(defun calcFunc-inv (m)
+  (if (Math-vectorp m)
+      (progn
+	(calc-extensions)
+	(if (math-square-matrixp m)
+	    (or (math-with-extra-prec 2 (math-matrix-inv-raw m))
+		(math-reject-arg m "*Singular matrix"))
+	  (math-reject-arg m 'square-matrixp)))
+    (math-div 1 m))
+)
+
+
+(defun math-do-working (msg arg)
+  (or executing-macro
+      (progn
+	(calc-set-command-flag 'clear-message)
+	(if math-working-step
+	    (if math-working-step-2
+		(setq msg (format "[%d/%d] %s"
+				  math-working-step math-working-step-2 msg))
+	      (setq msg (format "[%d] %s" math-working-step msg))))
+	(message "Working... %s = %s" msg
+		 (math-showing-full-precision (math-format-number arg)))))
+)
+
+
+;;; Compute A modulo B, defined in terms of truncation toward minus infinity.
+(defun math-mod (a b)   ; [R R R] [Public]
+  (cond ((and (Math-zerop a) (not (eq (car-safe a) 'mod))) a)
+	((Math-zerop b)
+	 (math-reject-arg a "*Division by zero"))
+	((and (Math-natnump a) (Math-natnump b))
+	 (math-imod a b))
+	((and (Math-anglep a) (Math-anglep b))
+	 (math-sub a (math-mul (math-floor (math-div a b)) b)))
+	(t (calc-extensions)
+	   (math-mod-fancy a b)))
+)
+
+
+
+;;; General exponentiation.
+
+(defun math-pow (a b)   ; [O O N] [Public]
+  (cond ((equal b '(var nan var-nan))
+	 b)
+	((Math-zerop a)
+	 (if (and (Math-scalarp b) (Math-posp b))
+	     (if (math-floatp b) (math-float a) a)
+	   (calc-extensions)
+	   (math-pow-of-zero a b)))
+	((or (eq a 1) (eq b 1)) a)
+	((or (equal a '(float 1 0)) (equal b '(float 1 0))) a)
+	((Math-zerop b)
+	 (if (Math-scalarp a)
+	     (if (or (math-floatp a) (math-floatp b))
+		 '(float 1 0) 1)
+	   (calc-extensions)
+	   (math-pow-zero a b)))
+	((and (Math-integerp b) (or (Math-numberp a) (Math-vectorp a)))
+	 (if (and (equal a '(float 1 1)) (integerp b))
+	     (math-make-float 1 b)
+	   (math-with-extra-prec 2
+	     (math-ipow a b))))
+	(t
+	 (calc-extensions)
+	 (math-pow-fancy a b)))
+)
+
+(defun math-ipow (a n)   ; [O O I] [Public]
+  (cond ((Math-integer-negp n)
+	 (math-ipow (math-div 1 a) (Math-integer-neg n)))
+	((not (consp n))
+	 (if (and (Math-ratp a) (> n 20))
+	     (math-iipow-show a n)
+	   (math-iipow a n)))
+	((math-evenp n)
+	 (math-ipow (math-mul a a) (math-div2 n)))
+	(t
+	 (math-mul a (math-ipow (math-mul a a)
+				(math-div2 (math-add n -1))))))
+)
+
+(defun math-iipow (a n)   ; [O O S]
+  (cond ((= n 0) 1)
+	((= n 1) a)
+	((= (% n 2) 0) (math-iipow (math-mul a a) (/ n 2)))
+	(t (math-mul a (math-iipow (math-mul a a) (/ n 2)))))
+)
+
+(defun math-iipow-show (a n)   ; [O O S]
+  (math-working "pow" a)
+  (let ((val (cond
+	      ((= n 0) 1)
+	      ((= n 1) a)
+	      ((= (% n 2) 0) (math-iipow-show (math-mul a a) (/ n 2)))
+	      (t (math-mul a (math-iipow-show (math-mul a a) (/ n 2)))))))
+    (math-working "pow" val)
+    val)
+)
+
+
+(defun math-read-radix-digit (dig)   ; [D S; Z S]
+  (if (> dig ?9)
+      (if (< dig ?A)
+	  nil
+	(- dig 55))
+    (if (>= dig ?0)
+	(- dig ?0)
+      nil))
+)
+
+
+
+
+
+;;; Bug reporting
+
+(defun report-calc-bug (topic)
+  "Report a bug in Calc, the GNU Emacs calculator.
+Prompts for bug subject.  Leaves you in a mail buffer."
+  (interactive "sBug Subject: ")
+  (mail nil calc-bug-address topic)
+  (goto-char (point-max))
+  (insert "\nIn Calc " calc-version ", Emacs " (emacs-version) "\n\n")
+  (message (substitute-command-keys "Type \\[mail-send] to send bug report."))
+)
+(fset 'calc-report-bug (symbol-function 'report-calc-bug))
+