941 lines
29 KiB
EmacsLisp
941 lines
29 KiB
EmacsLisp
;;; calc-misc.el --- miscellaneous functions for Calc -*- lexical-binding:t -*-
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;; Copyright (C) 1990-1993, 2001-2024 Free Software Foundation, Inc.
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;; Author: David Gillespie <daveg@synaptics.com>
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;; This file is part of GNU Emacs.
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;; GNU Emacs is free software: you can redistribute it and/or modify
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;; it under the terms of the GNU General Public License as published by
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;; the Free Software Foundation, either version 3 of the License, or
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;; (at your option) any later version.
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;; GNU Emacs is distributed in the hope that it will be useful,
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;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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;; GNU General Public License for more details.
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;; You should have received a copy of the GNU General Public License
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;; along with GNU Emacs. If not, see <https://www.gnu.org/licenses/>.
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;;; Commentary:
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;;; Code:
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;; This file is autoloaded from calc.el.
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(require 'calc)
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(require 'calc-macs)
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(require 'cl-lib)
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;; Declare functions which are defined elsewhere.
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(declare-function calc-do-keypad "calc-keypd" (&optional full-display interactive))
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(declare-function calc-inv-hyp-prefix-help "calc-help" ())
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(declare-function calc-inverse-prefix-help "calc-help" ())
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(declare-function calc-hyperbolic-prefix-help "calc-help" ())
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(declare-function calc-option-prefix-help "calc-help" ())
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(declare-function calc-explain-why "calc-stuff" (why &optional more))
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(declare-function calc-clear-command-flag "calc-ext" (f))
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(declare-function calc-roll-down-with-selections "calc-sel" (n m))
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(declare-function calc-roll-up-with-selections "calc-sel" (n m))
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(declare-function calc-last-args "calc-undo" (n))
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(declare-function calc-is-inverse "calc-ext" ())
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(declare-function calc-do-prefix-help "calc-ext" (msgs group key))
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(declare-function math-objvecp "calc-ext" (a))
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(declare-function math-known-scalarp "calc-arith" (a &optional assume-scalar))
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(declare-function math-vectorp "calc-ext" (a))
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(declare-function math-matrixp "calc-ext" (a))
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(declare-function math-trunc-special "calc-arith" (a prec))
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(declare-function math-trunc-fancy "calc-arith" (a))
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(declare-function math-floor-special "calc-arith" (a prec))
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(declare-function math-floor-fancy "calc-arith" (a))
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(declare-function math-square-matrixp "calc-ext" (a))
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(declare-function math-matrix-inv-raw "calc-mtx" (m))
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(declare-function math-known-matrixp "calc-arith" (a))
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(declare-function math-mod-fancy "calc-arith" (a b))
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(declare-function math-pow-of-zero "calc-arith" (a b))
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(declare-function math-pow-zero "calc-arith" (a b))
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(declare-function math-pow-fancy "calc-arith" (a b))
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(declare-function calc-locate-cursor-element "calc-yank" (pt))
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;;;###autoload
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(defun calc-dispatch-help (arg)
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"\\`C-x *' is a prefix key sequence; follow it with one of these letters:
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For turning Calc on and off:
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\\`C' calc. Start the Calculator in a window at the bottom of the screen.
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\\`O' calc-other-window. Start the Calculator but don't select its window.
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\\`B' calc-big-or-small. Toggle using the full Emacs screen for Calc.
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\\`Q' quick-calc. Use the Calculator in the minibuffer.
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\\`K' calc-keypad. Start the Calculator in keypad mode (X window system only).
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\\`E' calc-embedded. Use the Calculator on a formula in this editing buffer.
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\\`J' calc-embedded-select. Like \\`E', but select appropriate half of => or :=.
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\\`W' calc-embedded-word. Like \\`E', but activate a single word, i.e., a number.
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\\`Z' calc-user-invocation. Invoke Calc in the way you defined with `Z I' cmd.
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\\`X' calc-quit. Turn Calc off.
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For moving data into and out of Calc:
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\\`G' calc-grab-region. Grab the region defined by mark and point into Calc.
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\\`R' calc-grab-rectangle. Grab the rectangle defined by mark, point into Calc.
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\\`:' calc-grab-sum-down. Grab a rectangle and sum the columns.
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\\`_' calc-grab-sum-across. Grab a rectangle and sum the rows.
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\\`Y' calc-copy-to-buffer. Copy a value from the stack into the editing buffer.
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For use with Embedded mode:
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\\`A' calc-embedded-activate. Find and activate all :='s and =>'s in buffer.
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\\`D' calc-embedded-duplicate. Make a copy of this formula and select it.
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\\`F' calc-embedded-new-formula. Insert a new formula at current point.
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\\`N' calc-embedded-next. Advance cursor to next known formula in buffer.
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\\`P' calc-embedded-previous. Advance cursor to previous known formula.
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\\`U' calc-embedded-update-formula. Re-evaluate formula at point.
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\\``' calc-embedded-edit. Use calc-edit to edit formula at point.
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Documentation:
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\\`I' calc-info. Read the Calculator manual in the Emacs Info system.
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\\`T' calc-tutorial. Run the Calculator Tutorial using the Emacs Info system.
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\\`S' calc-summary. Read the Summary from the Calculator manual in Info.
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Miscellaneous:
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\\`L' calc-load-everything. Load all parts of the Calculator into memory.
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\\`M' read-kbd-macro. Read a region of keystroke names as a keyboard macro.
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\\`0' (zero) calc-reset. Reset Calc stack and modes to default state.
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Press \\`*' twice (\\`C-x * *') to turn Calc on or off using the same
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Calc user interface as before (either \\`C-x * C' or \\`C-x * K'; initially \\`C-x * C')."
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(interactive "P")
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(calc-check-defines)
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(if calc-dispatch-help
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(progn
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(save-window-excursion
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(describe-function 'calc-dispatch-help)
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(let ((win (get-buffer-window "*Help*")))
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(if win
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(let (key)
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(select-window win)
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(while (progn
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(message
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(substitute-command-keys
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(concat
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"Calc options: \\`c'alc, \\`k'eypad, ... "
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"press \\`SPC', \\`DEL' to scroll, \\`C-g' to cancel")))
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(memq (setq key (read-event))
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'(? ?\C-h ?\C-? ?\C-v ?\M-v)))
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(condition-case nil
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(if (memq key '(? ?\C-v))
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(scroll-up)
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(scroll-down))
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(error (beep))))
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(calc-unread-command key)))))
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(calc-do-dispatch nil))
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(let ((calc-dispatch-help t))
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(calc-do-dispatch arg))))
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;;;###autoload
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(defun calc-big-or-small (arg)
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"Toggle Calc between full-screen and regular mode."
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(interactive "P")
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(let ((cwin (get-buffer-window "*Calculator*"))
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(twin (get-buffer-window "*Calc Trail*"))
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(kwin (get-buffer-window "*Calc Keypad*")))
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(if cwin
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(setq calc-full-mode
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(if kwin
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(and twin (window-full-width-p twin))
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(window-full-height-p cwin))))
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(setq calc-full-mode (if arg
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(> (prefix-numeric-value arg) 0)
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(not calc-full-mode)))
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(if kwin
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(progn
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(calc-quit)
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(calc-do-keypad calc-full-mode nil))
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(if cwin
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(progn
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(calc-quit)
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(calc nil calc-full-mode nil))))
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(message (if calc-full-mode
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"Now using full screen for Calc"
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"Now using partial screen for Calc"))))
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;;;###autoload
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(defun calc-other-window (&optional interactive)
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"Invoke the Calculator in another window."
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(interactive "p")
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(if (memq major-mode '(calc-mode calc-trail-mode))
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(progn
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(other-window 1)
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(if (memq major-mode '(calc-mode calc-trail-mode))
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(other-window 1)))
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(if (get-buffer-window "*Calculator*")
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(calc-quit)
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(let ((win (selected-window)))
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(calc nil win interactive)))))
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;;;###autoload
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(defun another-calc ()
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"Create another, independent Calculator buffer."
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(interactive)
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(if (eq major-mode 'calc-mode)
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(mapc (lambda (v)
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(set-default v (symbol-value v)))
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calc-local-var-list))
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(set-buffer (generate-new-buffer "*Calculator*"))
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(pop-to-buffer (current-buffer))
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(calc-mode))
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;;;###autoload
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(defun calc-info ()
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"Run the Emacs Info system on the Calculator documentation."
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(interactive)
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(select-window (get-largest-window))
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(info "Calc"))
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;;;###autoload
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(defun calc-info-goto-node (node)
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"Go to a node in the Calculator info documentation."
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(select-window (get-largest-window))
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(info (concat "(Calc)" node)))
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;;;###autoload
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(defun calc-tutorial ()
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"Run the Emacs Info system on the Calculator Tutorial."
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(interactive)
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(if (get-buffer-window "*Calculator*")
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(calc-quit))
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(calc-info-goto-node "Interactive Tutorial")
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(calc-other-window)
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(message "Welcome to the Calc Tutorial!"))
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;;;###autoload
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(defun calc-info-summary ()
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"Run the Emacs Info system on the Calculator Summary."
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(interactive)
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(calc-info-goto-node "Summary"))
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;;;###autoload
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(defun calc-help ()
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(interactive)
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(let ((msgs
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(mapcar #'substitute-command-keys
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'("Press \\`h' for complete help; press \\`?' repeatedly for a summary"
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"Letter keys: \\`n'egate; \\`p'recision; \\`y'ank; \\`w'hy; \\`x'tended cmd; \\`q'uit"
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"Letter keys: \\`U'ndo, re\\`D'o; \\`I'nverse, \\`H'yperbolic, \\`O'ption"
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"Letter keys: s\\`Q'rt; \\`S'in, \\`C'os, \\`T'an; \\`E'xp, \\`L'n, log\\`B'"
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"Letter keys: \\`F'loor, \\`R'ound; \\`A'bs, con\\`J', ar\\`G'; \\`P'i"
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"Letter keys: \\`N'um-eval; \\`M'ore-recn; e\\`X'ec-kbd-macro; \\`K'eep-args"
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"Other keys: \\`+', \\`-', \\`*', \\`/', \\`^', \\`\\' (int div), \\`:' (frac div)"
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"Other keys: \\`&' (1/x), \\`|' (concat), \\`%' (modulo), \\`!' (factorial)"
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"Other keys: \\=' (alg-entry), \\`=' (eval), \\=` (edit); \\`M-RET' (last-args)"
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"Other keys: \\`SPC'/\\`RET' (enter/dup), \\`LFD' (over); \\`<' \\`>' (scroll horiz)"
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"Other keys: \\`DEL' (drop), \\`M-DEL' (drop-above); \\`{' \\`}' (scroll vert)"
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"Other keys: \\`TAB' (swap/roll-dn), \\`M-TAB' (roll-up)"
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"Other keys: \\`[' \\`,' \\`;' \\`]' (vector), \\`(' \\`,' \\`)' (complex), \\`(' \\`;' \\`)' (polar)"
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"Prefix keys: \\`a'lgebra, \\`b'inary/business, \\`c'onvert, \\`d'isplay"
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"Prefix keys: \\`f'unctions, \\`g'raphics, \\`h'elp, \\`j' (select)"
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"Prefix keys: \\`k'ombinatorics/statistics, \\`m'odes, \\`s'tore/recall"
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"Prefix keys: \\`t'rail/time, \\`u'nits/statistics, \\`v'ector/matrix"
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"Prefix keys: \\`z' (user), \\`Z' (define)"
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"Prefix keys: prefix + \\`?' gives further help for that prefix"
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" Calc by Dave Gillespie, daveg@synaptics.com"))))
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(if calc-full-help-flag
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msgs
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(if (or calc-inverse-flag calc-hyperbolic-flag)
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(if calc-inverse-flag
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(if calc-hyperbolic-flag
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(calc-inv-hyp-prefix-help)
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(calc-inverse-prefix-help))
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(calc-hyperbolic-prefix-help))
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(if calc-option-flag
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(calc-option-prefix-help)
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(setq calc-help-phase
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(if (eq this-command last-command)
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(% (1+ calc-help-phase) (1+ (length msgs)))
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0))
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(let ((msg (nth calc-help-phase msgs)))
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(message "%s" (if msg
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(concat (substitute-command-keys msg) ":"
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(make-string (- (apply 'max
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(mapcar 'length
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msgs))
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(length msg))
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?\ )
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(substitute-command-keys " [\\`?'=MORE]"))
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""))))))))
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;;;; Stack and buffer management.
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;; The variable calc-last-why-command is set in calc-do-handle-whys
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;; and used in calc-why (in calc-stuff.el).
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(defvar calc-last-why-command)
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;;;###autoload
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(defun calc-do-handle-whys ()
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(setq calc-why (sort calc-next-why
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(lambda (x y)
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(and (eq (car x) '*) (not (eq (car y) '*)))))
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calc-next-why nil)
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(if (and calc-why (or (eq calc-auto-why t)
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(and (eq (car (car calc-why)) '*)
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calc-auto-why)))
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(progn
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(require 'calc-ext)
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(calc-explain-why (car calc-why)
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(if (eq calc-auto-why t)
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(cdr calc-why)
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(if calc-auto-why
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(eq (car (nth 1 calc-why)) '*))))
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(setq calc-last-why-command this-command)
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(calc-clear-command-flag 'clear-message))))
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;;;###autoload
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(defun calc-record-why (&rest stuff)
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(if (eq (car stuff) 'quiet)
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(setq stuff (cdr stuff))
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(if (and (symbolp (car stuff))
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(cdr stuff)
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(or (Math-objectp (nth 1 stuff))
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(and (Math-vectorp (nth 1 stuff))
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(math-constp (nth 1 stuff)))
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(math-infinitep (nth 1 stuff))))
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(setq stuff (cons '* stuff))
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(if (and (stringp (car stuff))
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(string-match "\\`\\*" (car stuff)))
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(setq stuff (cons '* (cons (substring (car stuff) 1)
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(cdr stuff)))))))
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(unless (member stuff calc-next-why)
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(setq calc-next-why (cons stuff calc-next-why)))
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nil)
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;; True if A is a constant or vector of constants. [P x] [Public]
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;;;###autoload
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(defun math-constp (a)
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(or (Math-scalarp a)
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(and (memq (car a) '(sdev intv mod vec))
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(progn
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(while (and (setq a (cdr a))
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(or (Math-scalarp (car a)) ; optimization
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(math-constp (car a)))))
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(null a)))))
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;;;###autoload
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(defun calc-roll-down-stack (n &optional m)
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(if (< n 0)
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(calc-roll-up-stack (- n) m)
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(if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
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(or m (setq m 1))
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(and (> n 1)
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(< m n)
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(if (and calc-any-selections
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(not calc-use-selections))
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(calc-roll-down-with-selections n m)
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(calc-pop-push-list n
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(append (calc-top-list m 1)
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(calc-top-list (- n m) (1+ m))))))))
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;;;###autoload
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(defun calc-roll-up-stack (n &optional m)
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(if (< n 0)
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(calc-roll-down-stack (- n) m)
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(if (or (= n 0) (> n (calc-stack-size))) (setq n (calc-stack-size)))
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(or m (setq m 1))
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(and (> n 1)
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(< m n)
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(if (and calc-any-selections
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(not calc-use-selections))
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(calc-roll-up-with-selections n m)
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(calc-pop-push-list n
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(append (calc-top-list (- n m) 1)
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(calc-top-list m (- n m -1))))))))
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;;;###autoload
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(defun calc-do-refresh ()
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(if calc-hyperbolic-flag
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(progn
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(setq calc-display-dirty t)
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nil)
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(calc-refresh)
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t))
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;;;###autoload
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(defun calc-record-list (vals &optional prefix)
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(while vals
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(or (eq (car vals) 'top-of-stack)
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(progn
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(calc-record (car vals) prefix)
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(setq prefix "...")))
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(setq vals (cdr vals))))
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;;;###autoload
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(defun calc-last-args-stub (arg)
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(interactive "p")
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(require 'calc-ext)
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(calc-last-args arg))
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;;;###autoload
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(defun calc-power (arg)
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(interactive "P")
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(calc-slow-wrapper
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(if (and (featurep 'calc-ext)
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(calc-is-inverse))
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(calc-binary-op "root" 'calcFunc-nroot arg nil nil)
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(calc-binary-op "^" 'calcFunc-pow arg nil nil '^))))
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;;;###autoload
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(defun calc-mod (arg)
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(interactive "P")
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(calc-slow-wrapper
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(calc-binary-op "%" 'calcFunc-mod arg nil nil '%)))
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;;;###autoload
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(defun calc-inv (arg)
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(interactive "P")
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(calc-slow-wrapper
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(calc-unary-op "inv" 'calcFunc-inv arg)))
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;;;###autoload
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(defun calc-percent ()
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(interactive)
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(calc-slow-wrapper
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(calc-pop-push-record-list
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1 "%" (list (list 'calcFunc-percent (calc-top-n 1))))))
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;;;###autoload
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(defun calc-over (n)
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(interactive "P")
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(if n
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(calc-enter (- (prefix-numeric-value n)))
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(calc-enter -2)))
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;;;###autoload
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(defun calc-pop-above (n)
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(interactive "P")
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(if n
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(calc-pop (- (prefix-numeric-value n)))
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(calc-pop -2)))
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;;;###autoload
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(defun calc-roll-down (n)
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(interactive "P")
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(calc-wrapper
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(let ((nn (prefix-numeric-value n)))
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(cond ((null n)
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(calc-roll-down-stack 2))
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((> nn 0)
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(calc-roll-down-stack nn))
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((= nn 0)
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(calc-pop-push-list (calc-stack-size)
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|
(reverse
|
|
(calc-top-list (calc-stack-size)))))
|
|
(t
|
|
(calc-roll-down-stack (calc-stack-size) (- nn)))))))
|
|
|
|
;;;###autoload
|
|
(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)))))))
|
|
|
|
;;;###autoload
|
|
(defun calc-transpose-lines (&optional arg)
|
|
"Transpose previous line and current line.
|
|
With argument ARG, move previous line past ARG lines.
|
|
With argument 0, switch line point is in with line mark is in."
|
|
(interactive "p")
|
|
(setq arg (or arg 1))
|
|
(let (bot-line mid-line end-line
|
|
old-top-list new-top-list
|
|
bot-cell mid-cell
|
|
prev-mid-cell post-mid-cell post-bot-cell)
|
|
(calc-wrapper
|
|
(when (eq major-mode 'calc-mode)
|
|
(cond
|
|
;; exchange point and mark
|
|
((= 0 arg)
|
|
(setq bot-line (calc-locate-cursor-element (point))
|
|
mid-line (mark))
|
|
(if mid-line
|
|
(setq mid-line (calc-locate-cursor-element mid-line)
|
|
end-line (1+ mid-line))
|
|
(error "No mark set"))
|
|
(if (< bot-line mid-line)
|
|
(let ((temp mid-line))
|
|
(setq mid-line bot-line
|
|
bot-line temp))))
|
|
;; move bot-line to mid-line that is above bot-line on stack (that is
|
|
;; to say mid-line displayed below bot-line in *Calculator* buffer)
|
|
((> arg 0)
|
|
(setq bot-line (1+ (calc-locate-cursor-element (point)))
|
|
mid-line (- bot-line arg)
|
|
end-line mid-line))
|
|
;; move bot-line to mid-line that is above bot-line on stack (that is
|
|
;; to say mid-line displayed below bot-line in *Calculator* buffer)
|
|
((< arg 0)
|
|
(setq mid-line (1+ (calc-locate-cursor-element (point)))
|
|
bot-line (- mid-line arg)
|
|
end-line bot-line)))
|
|
(calc-check-stack bot-line)
|
|
(if (= 0 mid-line)
|
|
(error "Can't transpose beyond top"))
|
|
(setq old-top-list (nreverse (calc-top-list bot-line)))
|
|
;; example: (arg = 2)
|
|
;; old-top-list =
|
|
;; 1 <-- top of stack (bottom of *Calculator* buffer)
|
|
;; 2
|
|
;; 3 <-- mid-line = 3
|
|
;; 4 <-- point
|
|
;; 5 <-- bot-line = 5
|
|
(dotimes (_ mid-line)
|
|
(setq mid-cell old-top-list
|
|
old-top-list (cdr old-top-list))
|
|
(setcdr mid-cell new-top-list)
|
|
(setq new-top-list mid-cell))
|
|
;; example follow-up:
|
|
;; old-top-list =
|
|
;; 4
|
|
;; 5
|
|
;; new-top-list =
|
|
;; 3 <-- mid-cell
|
|
;; 2
|
|
;; 1
|
|
(setq prev-mid-cell old-top-list)
|
|
(dotimes (_ (- bot-line mid-line))
|
|
(setq bot-cell old-top-list
|
|
old-top-list (cdr old-top-list))
|
|
(setcdr bot-cell new-top-list)
|
|
(setq new-top-list bot-cell))
|
|
(setq post-mid-cell (cdr mid-cell)
|
|
post-bot-cell (cdr bot-cell))
|
|
;; example follow-up:
|
|
;; new-top-list =
|
|
;; 5 <-- bot-cell
|
|
;; 4 <-- prev-mid-cell & post-bot-cell
|
|
;; 3 <-- mid-cell
|
|
;; 2 <-- post-mid-cell
|
|
;; 1
|
|
(cond
|
|
((= 0 arg); swap bot and mid
|
|
(setcdr mid-cell post-bot-cell)
|
|
(setcdr bot-cell post-mid-cell)
|
|
(setcdr prev-mid-cell bot-cell)
|
|
;; example follow-up:
|
|
;; 3 <-- mid-cell
|
|
;; 4 <-- post-bot-cell & prev-mid-cell
|
|
;; 5 <-- bot-cell
|
|
;; 2 <-- post-mid-cell
|
|
;; 1
|
|
(setq new-top-list mid-cell))
|
|
((< 0 arg) ; move bot just after mid
|
|
(setcdr mid-cell bot-cell)
|
|
(setcdr bot-cell post-mid-cell)
|
|
;; example follow-up:
|
|
;; new-top-list =
|
|
;; 4 <-- post-bot-cell
|
|
;; 3 <-- mid-cell
|
|
;; 5 <-- bot-cell
|
|
;; 2 <-- post-mid-cell
|
|
;; 1
|
|
(setq new-top-list post-bot-cell))
|
|
((> 0 arg) ; move mid just before bot
|
|
(setcdr mid-cell bot-cell)
|
|
(setcdr prev-mid-cell post-mid-cell)
|
|
;; example follow-up:
|
|
;; new-top-list =
|
|
;; 3 <-- mid-cell
|
|
;; 5 <-- bot-cell
|
|
;; 4 <-- prev-mid-cell
|
|
;; 2 <-- post-mid-cell
|
|
;; 1
|
|
(setq new-top-list mid-cell)))
|
|
(calc-pop-push-list bot-line new-top-list)))
|
|
(calc-cursor-stack-index (1- end-line))))
|
|
|
|
|
|
|
|
;;; Other commands.
|
|
|
|
;;;###autoload
|
|
(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 "")))
|
|
|
|
;;;###autoload
|
|
(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-event)))
|
|
(message "%s%c-" (calc-num-prefix-name n) last-command-event))
|
|
(calc-unread-command)
|
|
(setq prefix-arg n))
|
|
|
|
;;;###autoload
|
|
(defun calc-shift-Y-prefix-help ()
|
|
(interactive)
|
|
(require 'calc-ext)
|
|
(calc-do-prefix-help calc-Y-help-msgs "other" ?Y))
|
|
|
|
|
|
|
|
|
|
;;;###autoload
|
|
(defun calcDigit-letter ()
|
|
(interactive)
|
|
(if (calc-minibuffer-contains "[-+]?\\(1[1-9]\\|[2-9][0-9]\\)#.*")
|
|
(progn
|
|
(setq last-command-event (upcase last-command-event))
|
|
(calcDigit-key))
|
|
(calcDigit-nondigit)))
|
|
|
|
|
|
;; A Lisp version of temp_minibuffer_message from minibuf.c.
|
|
;;;###autoload
|
|
(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 maybe_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]
|
|
;;;###autoload
|
|
(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]
|
|
;;;###autoload
|
|
(defun math-zerop (a)
|
|
(if (consp a)
|
|
(cond ((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]
|
|
|
|
;;;###autoload
|
|
(defun math-negp (a)
|
|
(if (consp a)
|
|
(cond ((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 '-'.
|
|
;;;###autoload
|
|
(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]
|
|
;;;###autoload
|
|
(defun math-posp (a)
|
|
(if (consp a)
|
|
(cond ((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)))
|
|
|
|
;;;###autoload
|
|
(defalias 'math-fixnump #'fixnump)
|
|
;;;###autoload
|
|
(defun math-fixnatnump (x) (and (fixnump x) (natnump x)))
|
|
|
|
;; True if A is an even integer. [P R R] [Public]
|
|
;;;###autoload
|
|
(defun math-evenp (a)
|
|
(and (integerp a) (cl-evenp a)))
|
|
|
|
;; Compute A / 2, for small or big integer A. [I i]
|
|
;; If A is negative, type of truncation is undefined.
|
|
;;;###autoload
|
|
(defun math-div2 (a)
|
|
(/ a 2))
|
|
|
|
;; Reject an argument to a calculator function. [Public]
|
|
;;;###autoload
|
|
(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.
|
|
(defvar math-trunc-prec)
|
|
|
|
;;;###autoload
|
|
(defun math-trunc (a &optional trunc-prec)
|
|
(cond (trunc-prec
|
|
(require 'calc-ext)
|
|
(math-trunc-special a 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)
|
|
(let ((math-trunc-prec trunc-prec))
|
|
(math-trunc-fancy a)))))
|
|
;;;###autoload
|
|
(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.
|
|
(defvar math-floor-prec)
|
|
|
|
;;;###autoload
|
|
(defun math-floor (a &optional floor-prec) ; [Public]
|
|
(cond (floor-prec
|
|
(require 'calc-ext)
|
|
(math-floor-special a 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)
|
|
(let ((math-floor-prec floor-prec))
|
|
(math-floor-fancy a)))))
|
|
|
|
;;;###autoload
|
|
(defalias 'calcFunc-floor 'math-floor)
|
|
|
|
|
|
;;;###autoload
|
|
(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))))
|
|
|
|
|
|
;;;###autoload
|
|
(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))))
|
|
|
|
;;;###autoload
|
|
(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.
|
|
;;;###autoload
|
|
(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.
|
|
|
|
;;;###autoload
|
|
(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))))
|
|
|
|
;;;###autoload
|
|
(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))
|
|
|
|
|
|
;;;###autoload
|
|
(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
|
|
|
|
;;;###autoload
|
|
(define-obsolete-function-alias 'report-calc-bug 'report-emacs-bug "26.2")
|
|
;;;###autoload
|
|
(define-obsolete-function-alias 'calc-report-bug 'report-emacs-bug "26.2")
|
|
|
|
(provide 'calc-misc)
|
|
|
|
;; Local variables:
|
|
;; generated-autoload-file: "calc-loaddefs.el"
|
|
;; End:
|
|
|
|
;;; calc-misc.el ends here
|