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emacs/lisp/calc/calc-misc.el
Eli Zaretskii 8f66f4797a Use frame-width' instead of screen-width',
`frame-height' instead of `screen-height', and,
`executing-kbd-macro' instead of `executing-macro'.
2001-11-13 07:30:58 +00:00

878 lines
24 KiB
EmacsLisp

;; Calculator for GNU Emacs, part I [calc-misc.el]
;; Copyright (C) 1990, 1991, 1992, 1993, 2001 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) (frame-width)))
(eq (window-height cwin) (1- (frame-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-kbd-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))