mirror of
https://git.savannah.gnu.org/git/emacs.git
synced 2024-12-16 09:50:25 +00:00
769 lines
23 KiB
EmacsLisp
769 lines
23 KiB
EmacsLisp
;;; calc-misc.el --- miscellaneous functions for Calc
|
|
|
|
;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004
|
|
;; 2005, 2006 Free Software Foundation, Inc.
|
|
|
|
;; Author: David Gillespie <daveg@synaptics.com>
|
|
;; Maintainer: Jay Belanger <belanger@truman.edu>
|
|
|
|
;; 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.
|
|
|
|
;;; Commentary:
|
|
|
|
;;; Code:
|
|
|
|
;; This file is autoloaded from calc.el.
|
|
|
|
(require 'calc)
|
|
(require 'calc-macs)
|
|
|
|
(defun calc-dispatch-help (arg)
|
|
"C-x* is a prefix key sequence; 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 (`C-x * *') to turn Calc on or off using the same
|
|
Calc user interface as before (either C-x * C or C-x * K; initially C-x * 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 (&optional interactive)
|
|
"Invoke the Calculator in another window."
|
|
(interactive "p")
|
|
(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)))))
|
|
|
|
(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))
|
|
|
|
(defun calc-info ()
|
|
"Run the Emacs Info system on the Calculator documentation."
|
|
(interactive)
|
|
(select-window (get-largest-window))
|
|
(info "Calc"))
|
|
|
|
(defun calc-info-goto-node (node)
|
|
"Go to a node in the Calculator info documentation."
|
|
(interactive)
|
|
(select-window (get-largest-window))
|
|
(info (concat "(Calc)" node)))
|
|
|
|
(defun calc-tutorial ()
|
|
"Run the Emacs Info system on the Calculator Tutorial."
|
|
(interactive)
|
|
(if (get-buffer-window "*Calculator*")
|
|
(calc-quit))
|
|
(calc-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-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.
|
|
|
|
;; The variable calc-last-why-command is set in calc-do-handly-whys
|
|
;; and used in calc-why (in calc-stuff.el).
|
|
(defvar calc-last-why-command)
|
|
|
|
(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
|
|
(require 'calc-ext)
|
|
(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")
|
|
(require 'calc-ext)
|
|
(calc-last-args arg))
|
|
|
|
|
|
(defun calc-power (arg)
|
|
(interactive "P")
|
|
(calc-slow-wrapper
|
|
(if (and (featurep 'calc-ext)
|
|
(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")
|
|
(require 'calc-ext)
|
|
(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)
|
|
(require 'calc-ext)
|
|
(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)
|
|
(require 'calc-ext)
|
|
(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)))
|
|
|
|
(defalias 'math-fixnump 'integerp)
|
|
(defalias 'math-fixnatnump '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]
|
|
|
|
;; The variable math-trunc-prec is local to math-trunc, but used by
|
|
;; math-trunc-fancy in calc-arith.el, which is called by math-trunc.
|
|
|
|
(defun math-trunc (a &optional math-trunc-prec)
|
|
(cond (math-trunc-prec
|
|
(require 'calc-ext)
|
|
(math-trunc-special a math-trunc-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 (require 'calc-ext)
|
|
(math-trunc-fancy a))))
|
|
(defalias 'calcFunc-trunc 'math-trunc)
|
|
|
|
;;; Coerce A to be an integer (by truncation toward minus infinity). [I N]
|
|
|
|
;; The variable math-floor-prec is local to math-floor, but used by
|
|
;; math-floor-fancy in calc-arith.el, which is called by math-floor.
|
|
|
|
(defun math-floor (a &optional math-floor-prec) ; [Public]
|
|
(cond (math-floor-prec
|
|
(require 'calc-ext)
|
|
(math-floor-special a math-floor-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 (require 'calc-ext)
|
|
(math-floor-fancy a))))
|
|
(defalias 'calcFunc-floor '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
|
|
(require 'calc-ext)
|
|
(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)))
|
|
(if (and
|
|
(require 'calc-arith)
|
|
(math-known-matrixp m))
|
|
(math-pow m -1)
|
|
(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 (require 'calc-ext)
|
|
(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)
|
|
(require 'calc-ext)
|
|
(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)
|
|
(require 'calc-ext)
|
|
(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
|
|
(require 'calc-ext)
|
|
(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 ()
|
|
"Report a bug in Calc, the GNU Emacs calculator.
|
|
Prompts for bug subject. Leaves you in a mail buffer."
|
|
(interactive)
|
|
(let ((reporter-prompt-for-summary-p t))
|
|
(reporter-submit-bug-report calc-bug-address "Calc" '(calc-version)
|
|
nil nil
|
|
"Please describe exactly what actions triggered the bug and the
|
|
precise symptoms of the bug. If possible, include a backtrace by
|
|
doing 'M-x toggle-debug-on-error', then reproducing the bug.
|
|
" )))
|
|
(defalias 'calc-report-bug 'report-calc-bug)
|
|
|
|
(provide 'calc-misc)
|
|
|
|
;;; arch-tag: 7984d9d0-62e5-41dc-afb8-e904b975f250
|
|
;;; calc-misc.el ends here
|