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3744 lines
130 KiB
EmacsLisp
3744 lines
130 KiB
EmacsLisp
;;; calc.el --- the GNU Emacs calculator
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;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
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;; 2005, 2006, 2007, 2008 Free Software Foundation, Inc.
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;; Author: David Gillespie <daveg@synaptics.com>
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;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
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;; Keywords: convenience, extensions
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;; Version: 2.1
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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, or (at your option)
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;; 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; see the file COPYING. If not, write to the
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;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
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;; Boston, MA 02110-1301, USA.
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;;; Commentary:
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;; Calc is split into many files. This file is the main entry point.
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;; This file includes autoload commands for various other basic Calc
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;; facilities. The more advanced features are based in calc-ext, which
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;; in turn contains autoloads for the rest of the Calc files. This
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;; odd set of interactions is designed to make Calc's loading time
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;; be as short as possible when only simple calculations are needed.
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;; Original author's address:
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;; Dave Gillespie, daveg@synaptics.com, uunet!synaptx!daveg.
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;; Synaptics, Inc., 2698 Orchard Parkway, San Jose, CA 95134.
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;;
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;; The old address daveg@csvax.cs.caltech.edu will continue to
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;; work for the foreseeable future.
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;;
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;; Bug reports and suggestions are always welcome! (Type M-x
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;; report-calc-bug to send them).
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;; All functions, macros, and Lisp variables defined here begin with one
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;; of the prefixes "math", "Math", or "calc", with the exceptions of
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;; "full-calc", "full-calc-keypad", "another-calc", "quick-calc",
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;; "report-calc-bug", and "defmath". User-accessible variables begin
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;; with "var-".
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;;; TODO:
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;; Fix rewrite mechanism to do less gratuitous rearrangement of terms.
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;; Implement a pattern-based "refers" predicate.
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;;
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;; Make it possible to Undo a selection command.
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;; Figure out how to allow selecting rows of matrices.
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;; If cursor was in selection before, move it after j n, j p, j L, etc.
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;; Consider reimplementing calc-delete-selection using rewrites.
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;;
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;; Implement line-breaking in non-flat compositions (is this desirable?).
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;; Implement matrix formatting with multi-line components.
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;;
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;; Have "Z R" define a user command based on a set of rewrite rules.
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;; Support "incf" and "decf" in defmath definitions.
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;; Have defmath generate calls to calc-binary-op or calc-unary-op.
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;; Make some way to define algebraic functions using keyboard macros.
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;;
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;; Allow calc-word-size=0 => Common Lisp-style signed bitwise arithmetic.
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;; Consider digamma function (and thus arb. prec. Euler's gamma constant).
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;; May as well make continued-fractions stuff available to the user.
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;;
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;; How about matrix eigenvalues, SVD, pseudo-inverse, etc.?
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;; Should cache matrix inverses as well as decompositions.
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;; If dividing by a non-square matrix, use least-squares automatically.
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;; Consider supporting matrix exponentials.
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;;
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;; Have ninteg detect and work around singularities at the endpoints.
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;; Use an adaptive subdivision algorithm for ninteg.
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;; Provide nsum and nprod to go along with ninteg.
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;;
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;; Handle TeX-mode parsing of \matrix{ ... } where ... contains braces.
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;; Support AmS-TeX's \{d,t,}frac, \{d,t,}binom notations.
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;; Format and parse sums and products in Eqn and Math modes.
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;;
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;; Get math-read-big-expr to read sums, products, etc.
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;; Change calc-grab-region to use math-read-big-expr.
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;; Have a way to define functions using := in Embedded Mode.
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;;
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;; Support polar plotting with GNUPLOT.
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;; Make a calc-graph-histogram function.
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;;
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;; Replace hokey formulas for complex functions with formulas designed
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;; to minimize roundoff while maintaining the proper branch cuts.
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;; Test accuracy of advanced math functions over whole complex plane.
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;; Extend Bessel functions to provide arbitrary precision.
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;; Extend advanced math functions to handle error forms and intervals.
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;; Provide a better implementation for math-sin-cos-raw.
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;; Provide a better implementation for math-hypot.
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;; Provide a better implementation for math-make-frac.
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;; Provide a better implementation for calcFunc-prfac.
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;; Provide a better implementation for calcFunc-factor.
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;;
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;; Provide more examples in the tutorial section of the manual.
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;; Cover in the tutorial: simplification modes, declarations,
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;; bitwise stuff, selections, matrix mapping, financial functions.
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;; Provide more Lisp programming examples in the manual.
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;; Finish the Internals section of the manual (and bring it up to date).
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;;
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;; Tim suggests adding spreadsheet-like features.
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;; Implement language modes for Gnuplot, Lisp, Ada, APL, ...?
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;;
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;; For atan series, if x > tan(pi/12) (about 0.268) reduce using the identity
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;; atan(x) = atan((x * sqrt(3) - 1) / (sqrt(3) + x)) + pi/6.
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;;
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;; A better integration algorithm:
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;; Use breadth-first instead of depth-first search, as follows:
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;; The integral cache allows unfinished integrals in symbolic notation
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;; on the righthand side. An entry with no unfinished integrals on the
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;; RHS is "complete"; references to it elsewhere are replaced by the
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;; integrated value. More than one cache entry for the same integral
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;; may exist, though if one becomes complete, the others may be deleted.
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;; The integrator works by using every applicable rule (such as
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;; substitution, parts, linearity, etc.) to generate possible righthand
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;; sides, all of which are entered into the cache. Now, as long as the
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;; target integral is not complete (and the time limit has not run out)
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;; choose an incomplete integral from the cache and, for every integral
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;; appearing in its RHS's, add those integrals to the cache using the
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;; same substitition, parts, etc. rules. The cache should be organized
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;; as a priority queue, choosing the "simplest" incomplete integral at
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;; each step, or choosing randomly among equally simple integrals.
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;; Simplicity equals small size, and few steps removed from the original
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;; target integral. Note that when the integrator finishes, incomplete
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;; integrals can be left in the cache, so the algorithm can start where
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;; it left off if another similar integral is later requested.
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;; Breadth-first search would avoid the nagging problem of, e.g., whether
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;; to use parts or substitution first, and which decomposition is best.
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;; All are tried, and any path that diverges will quickly be put on the
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;; back burner by the priority queue.
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;; Note: Probably a good idea to call math-simplify-extended before
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;; measuring a formula's simplicity.
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;;; Code:
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(require 'calc-macs)
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;; Declare functions which are defined elsewhere.
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(declare-function calc-set-language "calc-lang" (lang &optional option no-refresh))
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(declare-function calc-edit-finish "calc-yank" (&optional keep))
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(declare-function calc-edit-cancel "calc-yank" ())
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(declare-function calc-do-quick-calc "calc-aent" ())
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(declare-function calc-do-calc-eval "calc-aent" (str separator args))
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(declare-function calc-do-keypad "calc-keypd" (&optional full-display interactive))
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(declare-function calcFunc-unixtime "calc-forms" (date &optional zone))
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(declare-function math-parse-date "calc-forms" (math-pd-str))
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(declare-function math-lessp "calc-ext" (a b))
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(declare-function calc-embedded-finish-command "calc-embed" ())
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(declare-function calc-embedded-select-buffer "calc-embed" ())
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(declare-function calc-embedded-mode-line-change "calc-embed" ())
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(declare-function calc-push-list-in-macro "calc-prog" (vals m sels))
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(declare-function calc-replace-selections "calc-sel" (n vals m))
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(declare-function calc-record-list "calc-misc" (vals &optional prefix))
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(declare-function calc-normalize-fancy "calc-ext" (val))
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(declare-function calc-do-handle-whys "calc-misc" ())
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(declare-function calc-top-selected "calc-sel" (&optional n m))
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(declare-function calc-sel-error "calc-sel" ())
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(declare-function calc-pop-stack-in-macro "calc-prog" (n mm))
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(declare-function calc-embedded-stack-change "calc-embed" ())
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(declare-function calc-refresh-evaltos "calc-ext" (&optional which-var))
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(declare-function calc-do-refresh "calc-misc" ())
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(declare-function calc-binary-op-fancy "calc-ext" (name func arg ident unary))
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(declare-function calc-unary-op-fancy "calc-ext" (name func arg))
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(declare-function calc-delete-selection "calc-sel" (n))
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(declare-function calc-alg-digit-entry "calc-aent" ())
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(declare-function calc-alg-entry "calc-aent" (&optional initial prompt))
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(declare-function calc-dots "calc-incom" ())
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(declare-function calc-temp-minibuffer-message "calc-misc" (m))
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(declare-function math-read-radix-digit "calc-misc" (dig))
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(declare-function calc-digit-dots "calc-incom" ())
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(declare-function math-normalize-fancy "calc-ext" (a))
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(declare-function math-normalize-nonstandard "calc-ext" ())
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(declare-function math-recompile-eval-rules "calc-alg" ())
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(declare-function math-apply-rewrites "calc-rewr" (expr rules &optional heads math-apply-rw-ruleset))
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(declare-function calc-record-why "calc-misc" (&rest stuff))
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(declare-function math-dimension-error "calc-vec" ())
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(declare-function calc-incomplete-error "calc-incom" (a))
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(declare-function math-float-fancy "calc-arith" (a))
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(declare-function math-neg-fancy "calc-arith" (a))
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(declare-function math-zerop "calc-misc" (a))
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(declare-function calc-add-fractions "calc-frac" (a b))
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(declare-function math-add-objects-fancy "calc-arith" (a b))
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(declare-function math-add-symb-fancy "calc-arith" (a b))
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(declare-function math-mul-zero "calc-arith" (a b))
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(declare-function calc-mul-fractions "calc-frac" (a b))
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(declare-function math-mul-objects-fancy "calc-arith" (a b))
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(declare-function math-mul-symb-fancy "calc-arith" (a b))
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(declare-function math-reject-arg "calc-misc" (&optional a p option))
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(declare-function math-div-by-zero "calc-arith" (a b))
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(declare-function math-div-zero "calc-arith" (a b))
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(declare-function math-make-frac "calc-frac" (num den))
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(declare-function calc-div-fractions "calc-frac" (a b))
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(declare-function math-div-objects-fancy "calc-arith" (a b))
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(declare-function math-div-symb-fancy "calc-arith" (a b))
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(declare-function math-compose-expr "calccomp" (a prec))
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(declare-function math-comp-width "calccomp" (c))
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(declare-function math-composition-to-string "calccomp" (c &optional width))
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(declare-function math-stack-value-offset-fancy "calccomp" ())
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(declare-function math-format-flat-expr-fancy "calc-ext" (a prec))
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(declare-function math-adjust-fraction "calc-ext" (a))
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(declare-function math-format-binary "calc-bin" (a))
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(declare-function math-format-radix "calc-bin" (a))
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(declare-function math-group-float "calc-ext" (str))
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(declare-function math-mod "calc-misc" (a b))
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(declare-function math-format-number-fancy "calc-ext" (a prec))
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(declare-function math-format-bignum-fancy "calc-ext" (a))
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(declare-function math-read-number-fancy "calc-ext" (s))
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(declare-function calc-do-grab-region "calc-yank" (top bot arg))
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(declare-function calc-do-grab-rectangle "calc-yank" (top bot arg &optional reduce))
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(declare-function calc-do-embedded "calc-embed" (calc-embed-arg end obeg oend))
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(declare-function calc-do-embedded-activate "calc-embed" (calc-embed-arg cbuf))
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(declare-function math-do-defmath "calc-prog" (func args body))
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(declare-function calc-load-everything "calc-ext" ())
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(defgroup calc nil
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"GNU Calc."
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:prefix "calc-"
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:tag "Calc"
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:group 'applications)
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;;;###autoload
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(defcustom calc-settings-file
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(convert-standard-filename "~/.calc.el")
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"*File in which to record permanent settings."
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:group 'calc
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:type '(file))
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(defcustom calc-language-alist
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'((latex-mode . latex)
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(tex-mode . tex)
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(plain-tex-mode . tex)
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(context-mode . tex)
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(nroff-mode . eqn)
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(pascal-mode . pascal)
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(c-mode . c)
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(c++-mode . c)
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(fortran-mode . fortran)
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(f90-mode . fortran)
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(texinfo-mode . calc-normal-language))
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"*Alist of major modes with appropriate Calc languages."
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:group 'calc
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:type '(alist :key-type (symbol :tag "Major mode")
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:value-type (symbol :tag "Calc language")))
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(defcustom calc-embedded-announce-formula
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"%Embed\n\\(% .*\n\\)*"
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"*A regular expression which is sure to be followed by a calc-embedded formula."
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:group 'calc
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:type '(regexp))
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(defcustom calc-embedded-announce-formula-alist
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'((c++-mode . "//Embed\n\\(// .*\n\\)*")
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(c-mode . "/\\*Embed\\*/\n\\(/\\* .*\\*/\n\\)*")
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(f90-mode . "!Embed\n\\(! .*\n\\)*")
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(fortran-mode . "C Embed\n\\(C .*\n\\)*")
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(html-helper-mode . "<!-- Embed -->\n\\(<!-- .* -->\n\\)*")
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(html-mode . "<!-- Embed -->\n\\(<!-- .* -->\n\\)*")
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(nroff-mode . "\\\\\"Embed\n\\(\\\\\" .*\n\\)*")
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(pascal-mode . "{Embed}\n\\({.*}\n\\)*")
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(sgml-mode . "<!-- Embed -->\n\\(<!-- .* -->\n\\)*")
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(xml-mode . "<!-- Embed -->\n\\(<!-- .* -->\n\\)*")
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(texinfo-mode . "@c Embed\n\\(@c .*\n\\)*"))
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"*Alist of major modes with appropriate values for `calc-embedded-announce-formula'."
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:group 'calc
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:type '(alist :key-type (symbol :tag "Major mode")
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:value-type (regexp :tag "Regexp to announce formula")))
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(defcustom calc-embedded-open-formula
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"\\`\\|^\n\\|\\$\\$?\\|\\\\\\[\\|^\\\\begin[^{].*\n\\|^\\\\begin{.*[^x]}.*\n\\|^@.*\n\\|^\\.EQ.*\n\\|\\\\(\\|^%\n\\|^\\.\\\\\"\n"
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"*A regular expression for the opening delimiter of a formula used by calc-embedded."
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:group 'calc
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:type '(regexp))
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(defcustom calc-embedded-close-formula
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"\\'\\|\n$\\|\\$\\$?\\|\\\\]\\|^\\\\end[^{].*\n\\|^\\\\end{.*[^x]}.*\n\\|^@.*\n\\|^\\.EN.*\n\\|\\\\)\\|\n%\n\\|^\\.\\\\\"\n"
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"*A regular expression for the closing delimiter of a formula used by calc-embedded."
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:group 'calc
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:type '(regexp))
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(defcustom calc-embedded-open-close-formula-alist
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nil
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"*Alist of major modes with pairs of formula delimiters used by calc-embedded."
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:group 'calc
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:type '(alist :key-type (symbol :tag "Major mode")
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:value-type (list (regexp :tag "Opening formula delimiter")
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(regexp :tag "Closing formula delimiter"))))
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(defcustom calc-embedded-open-word
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"^\\|[^-+0-9.eE]"
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"*A regular expression for the opening delimiter of a formula used by calc-embedded-word."
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:group 'calc
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:type '(regexp))
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(defcustom calc-embedded-close-word
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"$\\|[^-+0-9.eE]"
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"*A regular expression for the closing delimiter of a formula used by calc-embedded-word."
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:group 'calc
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:type '(regexp))
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(defcustom calc-embedded-open-close-word-alist
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nil
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"*Alist of major modes with pairs of word delimiters used by calc-embedded."
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:group 'calc
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:type '(alist :key-type (symbol :tag "Major mode")
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:value-type (list (regexp :tag "Opening word delimiter")
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(regexp :tag "Closing word delimiter"))))
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(defcustom calc-embedded-open-plain
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"%%% "
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"*A string which is the opening delimiter for a \"plain\" formula.
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If calc-show-plain mode is enabled, this is inserted at the front of
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each formula."
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:group 'calc
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:type '(string))
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(defcustom calc-embedded-close-plain
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" %%%\n"
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"*A string which is the closing delimiter for a \"plain\" formula.
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See calc-embedded-open-plain."
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:group 'calc
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:type '(string))
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(defcustom calc-embedded-open-close-plain-alist
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'((c++-mode "// %% " " %%\n")
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(c-mode "/* %% " " %% */\n")
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(f90-mode "! %% " " %%\n")
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(fortran-mode "C %% " " %%\n")
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(html-helper-mode "<!-- %% " " %% -->\n")
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(html-mode "<!-- %% " " %% -->\n")
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(nroff-mode "\\\" %% " " %%\n")
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(pascal-mode "{%% " " %%}\n")
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(sgml-mode "<!-- %% " " %% -->\n")
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(xml-mode "<!-- %% " " %% -->\n")
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(texinfo-mode "@c %% " " %%\n"))
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"*Alist of major modes with pairs of delimiters for \"plain\" formulas."
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:group 'calc
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:type '(alist :key-type (symbol :tag "Major mode")
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:value-type (list (string :tag "Opening \"plain\" delimiter")
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(string :tag "Closing \"plain\" delimiter"))))
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(defcustom calc-embedded-open-new-formula
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"\n\n"
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"*A string which is inserted at front of formula by calc-embedded-new-formula."
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:group 'calc
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:type '(string))
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(defcustom calc-embedded-close-new-formula
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"\n\n"
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"*A string which is inserted at end of formula by calc-embedded-new-formula."
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:group 'calc
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:type '(string))
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(defcustom calc-embedded-open-close-new-formula-alist
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nil
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"*Alist of major modes with pairs of new formula delimiters used by calc-embedded."
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:group 'calc
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:type '(alist :key-type (symbol :tag "Major mode")
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:value-type (list (string :tag "Opening new formula delimiter")
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(string :tag "Closing new formula delimiter"))))
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(defcustom calc-embedded-open-mode
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"% "
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"*A string which should precede calc-embedded mode annotations.
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This is not required to be present for user-written mode annotations."
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:group 'calc
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:type '(string))
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(defcustom calc-embedded-close-mode
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"\n"
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"*A string which should follow calc-embedded mode annotations.
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This is not required to be present for user-written mode annotations."
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:group 'calc
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:type '(string))
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(defcustom calc-embedded-open-close-mode-alist
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'((c++-mode "// " "\n")
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(c-mode "/* " " */\n")
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(f90-mode "! " "\n")
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(fortran-mode "C " "\n")
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(html-helper-mode "<!-- " " -->\n")
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(html-mode "<!-- " " -->\n")
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(nroff-mode "\\\" " "\n")
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(pascal-mode "{ " " }\n")
|
|
(sgml-mode "<!-- " " -->\n")
|
|
(xml-mode "<!-- " " -->\n")
|
|
(texinfo-mode "@c " "\n"))
|
|
"*Alist of major modes with pairs of strings to delimit annotations."
|
|
:group 'calc
|
|
:type '(alist :key-type (symbol :tag "Major mode")
|
|
:value-type (list (string :tag "Opening annotation delimiter")
|
|
(string :tag "Closing annotation delimiter"))))
|
|
|
|
(defcustom calc-gnuplot-name
|
|
"gnuplot"
|
|
"*Name of GNUPLOT program, for calc-graph features."
|
|
:group 'calc
|
|
:type '(string))
|
|
|
|
(defcustom calc-gnuplot-plot-command
|
|
nil
|
|
"*Name of command for displaying GNUPLOT output; %s = file name to print."
|
|
:group 'calc
|
|
:type '(choice (string) (sexp)))
|
|
|
|
(defcustom calc-gnuplot-print-command
|
|
"lp %s"
|
|
"*Name of command for printing GNUPLOT output; %s = file name to print."
|
|
:group 'calc
|
|
:type '(choice (string) (sexp)))
|
|
|
|
(defcustom calc-multiplication-has-precedence
|
|
t
|
|
"*If non-nil, multiplication has precedence over division
|
|
in normal mode."
|
|
:group 'calc
|
|
:type 'boolean)
|
|
|
|
(defvar calc-bug-address "jay.p.belanger@gmail.com"
|
|
"Address of the maintainer of Calc, for use by `report-calc-bug'.")
|
|
|
|
(defvar calc-scan-for-dels t
|
|
"If t, scan keymaps to find all DEL-like keys.
|
|
if nil, only DEL itself is mapped to calc-pop.")
|
|
|
|
(defvar calc-stack '((top-of-stack 1 nil))
|
|
"Calculator stack.
|
|
Entries are 3-lists: Formula, Height (in lines), Selection (or nil).")
|
|
|
|
(defvar calc-stack-top 1
|
|
"Index into `calc-stack' of \"top\" of stack.
|
|
This is 1 unless `calc-truncate-stack' has been used.")
|
|
|
|
(defvar calc-display-sci-high 0
|
|
"Floating-point numbers with this positive exponent or higher above the
|
|
current precision are displayed in scientific notation in calc-mode.")
|
|
|
|
(defvar calc-display-sci-low -3
|
|
"Floating-point numbers with this negative exponent or lower are displayed
|
|
scientific notation in calc-mode.")
|
|
|
|
(defvar calc-other-modes nil
|
|
"List of used-defined strings to append to Calculator mode line.")
|
|
|
|
(defvar calc-Y-help-msgs nil
|
|
"List of strings for Y prefix help.")
|
|
|
|
(defvar calc-loaded-settings-file nil
|
|
"t if `calc-settings-file' has been loaded yet.")
|
|
|
|
|
|
(defvar calc-mode-var-list '()
|
|
"List of variables used in customizing GNU Calc.")
|
|
|
|
(defmacro defcalcmodevar (var defval &optional doc)
|
|
"Declare VAR as a Calc variable, with default value DEFVAL
|
|
and doc-string DOC.
|
|
The variable VAR will be added to `calc-mode-var-list'."
|
|
`(progn
|
|
(defvar ,var ,defval ,doc)
|
|
(add-to-list 'calc-mode-var-list (list (quote ,var) ,defval))))
|
|
|
|
(defun calc-mode-var-list-restore-default-values ()
|
|
"Restore the default values of the variables in `calc-mode-var-list'."
|
|
(mapcar (function (lambda (v) (set (car v) (nth 1 v))))
|
|
calc-mode-var-list))
|
|
|
|
(defun calc-mode-var-list-restore-saved-values ()
|
|
"Restore the user-saved values of the variables in `calc-mode-var-list'."
|
|
(let ((newvarlist '()))
|
|
(save-excursion
|
|
(let (pos
|
|
(file (substitute-in-file-name calc-settings-file)))
|
|
(when (and
|
|
(file-regular-p file)
|
|
(set-buffer (find-file-noselect file))
|
|
(goto-char (point-min))
|
|
(search-forward ";;; Mode settings stored by Calc" nil t)
|
|
(progn
|
|
(forward-line 1)
|
|
(setq pos (point))
|
|
(search-forward "\n;;; End of mode settings" nil t)))
|
|
(beginning-of-line)
|
|
(calc-mode-var-list-restore-default-values)
|
|
(eval-region pos (point))
|
|
(let ((varlist calc-mode-var-list))
|
|
(while varlist
|
|
(let ((var (car varlist)))
|
|
(setq newvarlist
|
|
(cons (list (car var) (symbol-value (car var)))
|
|
newvarlist)))
|
|
(setq varlist (cdr varlist)))))))
|
|
(if newvarlist
|
|
(mapcar (function (lambda (v) (set (car v) (nth 1 v))))
|
|
newvarlist)
|
|
(calc-mode-var-list-restore-default-values))))
|
|
|
|
(defcalcmodevar calc-always-load-extensions nil
|
|
"If non-nil, load the calc-ext module automatically when Calc is loaded.")
|
|
|
|
(defcalcmodevar calc-line-numbering t
|
|
"If non-nil, display line numbers in Calculator stack.")
|
|
|
|
(defcalcmodevar calc-line-breaking t
|
|
"If non-nil, break long values across multiple lines in Calculator stack.")
|
|
|
|
(defcalcmodevar calc-display-just nil
|
|
"If nil, stack display is left-justified.
|
|
If `right', stack display is right-justified.
|
|
If `center', stack display is centered.")
|
|
|
|
(defcalcmodevar calc-display-origin nil
|
|
"Horizontal origin of displayed stack entries.
|
|
In left-justified mode, this is effectively indentation. (Default 0).
|
|
In right-justified mode, this is effectively window width.
|
|
In centered mode, center of stack entry is placed here.")
|
|
|
|
(defcalcmodevar calc-number-radix 10
|
|
"Radix for entry and display of numbers in calc-mode, 2-36.")
|
|
|
|
(defcalcmodevar calc-leading-zeros nil
|
|
"If non-nil, leading zeros are provided to pad integers to calc-word-size.")
|
|
|
|
(defcalcmodevar calc-group-digits nil
|
|
"If non-nil, group digits in large displayed integers by inserting spaces.
|
|
If an integer, group that many digits at a time.
|
|
If t, use 4 for binary and hex, 3 otherwise.")
|
|
|
|
(defcalcmodevar calc-group-char ","
|
|
"The character (in the form of a string) to be used for grouping digits.
|
|
This is used only when calc-group-digits mode is on.")
|
|
|
|
(defcalcmodevar calc-point-char "."
|
|
"The character (in the form of a string) to be used as a decimal point.")
|
|
|
|
(defcalcmodevar calc-frac-format '(":" nil)
|
|
"Format of displayed fractions; a string of one or two of \":\" or \"/\".")
|
|
|
|
(defcalcmodevar calc-prefer-frac nil
|
|
"If non-nil, prefer fractional over floating-point results.")
|
|
|
|
(defcalcmodevar calc-hms-format "%s@ %s' %s\""
|
|
"Format of displayed hours-minutes-seconds angles, a format string.
|
|
String must contain three %s marks for hours, minutes, seconds respectively.")
|
|
|
|
(defcalcmodevar calc-date-format '((H ":" mm C SS pp " ")
|
|
Www " " Mmm " " D ", " YYYY)
|
|
"Format of displayed date forms.")
|
|
|
|
(defcalcmodevar calc-float-format '(float 0)
|
|
"Format to use for display of floating-point numbers in calc-mode.
|
|
Must be a list of one of the following forms:
|
|
(float 0) Floating point format, display full precision.
|
|
(float N) N > 0: Floating point format, at most N significant figures.
|
|
(float -N) -N < 0: Floating point format, calc-internal-prec - N figs.
|
|
(fix N) N >= 0: Fixed point format, N places after decimal point.
|
|
(sci 0) Scientific notation, full precision.
|
|
(sci N) N > 0: Scientific notation, N significant figures.
|
|
(sci -N) -N < 0: Scientific notation, calc-internal-prec - N figs.
|
|
(eng 0) Engineering notation, full precision.
|
|
(eng N) N > 0: Engineering notation, N significant figures.
|
|
(eng -N) -N < 0: Engineering notation, calc-internal-prec - N figs.")
|
|
|
|
(defcalcmodevar calc-full-float-format '(float 0)
|
|
"Format to use when full precision must be displayed.")
|
|
|
|
(defcalcmodevar calc-complex-format nil
|
|
"Format to use for display of complex numbers in calc-mode. Must be one of:
|
|
nil Use (x, y) form.
|
|
i Use x + yi form.
|
|
j Use x + yj form.")
|
|
|
|
(defcalcmodevar calc-complex-mode 'cplx
|
|
"Preferred form, either `cplx' or `polar', for complex numbers.")
|
|
|
|
(defcalcmodevar calc-infinite-mode nil
|
|
"If nil, 1 / 0 is left unsimplified.
|
|
If 0, 1 / 0 is changed to inf (zeros are considered positive).
|
|
Otherwise, 1 / 0 is changed to uinf (undirected infinity).")
|
|
|
|
(defcalcmodevar calc-display-strings nil
|
|
"If non-nil, display vectors of byte-sized integers as strings.")
|
|
|
|
(defcalcmodevar calc-matrix-just 'center
|
|
"If nil, vector elements are left-justified.
|
|
If `right', vector elements are right-justified.
|
|
If `center', vector elements are centered.")
|
|
|
|
(defcalcmodevar calc-break-vectors nil
|
|
"If non-nil, display vectors one element per line.")
|
|
|
|
(defcalcmodevar calc-full-vectors t
|
|
"If non-nil, display long vectors in full. If nil, use abbreviated form.")
|
|
|
|
(defcalcmodevar calc-full-trail-vectors t
|
|
"If non-nil, display long vectors in full in the trail.")
|
|
|
|
(defcalcmodevar calc-vector-commas ","
|
|
"If non-nil, separate elements of displayed vectors with this string.")
|
|
|
|
(defcalcmodevar calc-vector-brackets "[]"
|
|
"If non-nil, surround displayed vectors with these characters.")
|
|
|
|
(defcalcmodevar calc-matrix-brackets '(R O)
|
|
"A list of code-letter symbols that control \"big\" matrix display.
|
|
If `R' is present, display inner brackets for matrices.
|
|
If `O' is present, display outer brackets for matrices (above/below).
|
|
If `C' is present, display outer brackets for matrices (centered).")
|
|
|
|
(defcalcmodevar calc-language nil
|
|
"Language or format for entry and display of stack values. Must be one of:
|
|
nil Use standard Calc notation.
|
|
flat Use standard Calc notation, one-line format.
|
|
big Display formulas in 2-d notation (enter w/std notation).
|
|
unform Use unformatted display: add(a, mul(b,c)).
|
|
c Use C language notation.
|
|
pascal Use Pascal language notation.
|
|
fortran Use Fortran language notation.
|
|
tex Use TeX notation.
|
|
latex Use LaTeX notation.
|
|
eqn Use eqn notation.
|
|
yacas Use Yacas notation.
|
|
maxima Use Maxima notation.
|
|
giac Use Giac notation.
|
|
math Use Mathematica(tm) notation.
|
|
maple Use Maple notation.")
|
|
|
|
(defcalcmodevar calc-language-option nil
|
|
"Numeric prefix argument for the command that set `calc-language'.")
|
|
|
|
(defcalcmodevar calc-left-label ""
|
|
"Label to display at left of formula.")
|
|
|
|
(defcalcmodevar calc-right-label ""
|
|
"Label to display at right of formula.")
|
|
|
|
(defcalcmodevar calc-word-size 32
|
|
"Minimum number of bits per word, if any, for binary operations in calc-mode.")
|
|
|
|
(defcalcmodevar calc-previous-modulo nil
|
|
"Most recently used value of M in a modulo form.")
|
|
|
|
(defcalcmodevar calc-simplify-mode nil
|
|
"Type of simplification applied to results.
|
|
If `none', results are not simplified when pushed on the stack.
|
|
If `num', functions are simplified only when args are constant.
|
|
If nil, only fast simplifications are applied.
|
|
If `binary', `math-clip' is applied if appropriate.
|
|
If `alg', `math-simplify' is applied.
|
|
If `ext', `math-simplify-extended' is applied.
|
|
If `units', `math-simplify-units' is applied.")
|
|
|
|
(defcalcmodevar calc-auto-recompute t
|
|
"If non-nil, recompute evalto's automatically when necessary.")
|
|
|
|
(defcalcmodevar calc-display-raw nil
|
|
"If non-nil, display shows unformatted Lisp exprs. (For debugging)")
|
|
|
|
(defcalcmodevar calc-internal-prec 12
|
|
"Number of digits of internal precision for calc-mode calculations.")
|
|
|
|
(defcalcmodevar calc-angle-mode 'deg
|
|
"If deg, angles are in degrees; if rad, angles are in radians.
|
|
If hms, angles are in degrees-minutes-seconds.")
|
|
|
|
(defcalcmodevar calc-algebraic-mode nil
|
|
"If non-nil, numeric entry accepts whole algebraic expressions.
|
|
If nil, algebraic expressions must be preceded by \"'\".")
|
|
|
|
(defcalcmodevar calc-incomplete-algebraic-mode nil
|
|
"Like calc-algebraic-mode except only affects ( and [ keys.")
|
|
|
|
(defcalcmodevar calc-symbolic-mode nil
|
|
"If non-nil, inexact numeric computations like sqrt(2) are postponed.
|
|
If nil, computations on numbers always yield numbers where possible.")
|
|
|
|
(defcalcmodevar calc-matrix-mode nil
|
|
"If `matrix', variables are assumed to be matrix-valued.
|
|
If a number, variables are assumed to be NxN matrices.
|
|
If `sqmatrix', variables are assumed to be square matrices of an unspecified size.
|
|
If `scalar', variables are assumed to be scalar-valued.
|
|
If nil, symbolic math routines make no assumptions about variables.")
|
|
|
|
(defcalcmodevar calc-shift-prefix nil
|
|
"If non-nil, shifted letter keys are prefix keys rather than normal meanings.")
|
|
|
|
(defcalcmodevar calc-window-height 7
|
|
"Initial height of Calculator window.")
|
|
|
|
(defcalcmodevar calc-display-trail t
|
|
"If non-nil, M-x calc creates a window to display Calculator trail.")
|
|
|
|
(defcalcmodevar calc-show-selections t
|
|
"If non-nil, selected sub-formulas are shown by obscuring rest of formula.
|
|
If nil, selected sub-formulas are highlighted by obscuring the sub-formulas.")
|
|
|
|
(defcalcmodevar calc-use-selections t
|
|
"If non-nil, commands operate only on selected portions of formulas.
|
|
If nil, selections displayed but ignored.")
|
|
|
|
(defcalcmodevar calc-assoc-selections t
|
|
"If non-nil, selection hides deep structure of associative formulas.")
|
|
|
|
(defcalcmodevar calc-display-working-message 'lots
|
|
"If non-nil, display \"Working...\" for potentially slow Calculator commands.")
|
|
|
|
(defcalcmodevar calc-auto-why 'maybe
|
|
"If non-nil, automatically execute a \"why\" command to explain odd results.")
|
|
|
|
(defcalcmodevar calc-timing nil
|
|
"If non-nil, display timing information on each slow command.")
|
|
|
|
(defcalcmodevar calc-mode-save-mode 'local)
|
|
|
|
(defcalcmodevar calc-standard-date-formats
|
|
'("N"
|
|
"<H:mm:SSpp >Www Mmm D, YYYY"
|
|
"D Mmm YYYY<, h:mm:SS>"
|
|
"Www Mmm BD< hh:mm:ss> YYYY"
|
|
"M/D/Y< H:mm:SSpp>"
|
|
"D.M.Y< h:mm:SS>"
|
|
"M-D-Y< H:mm:SSpp>"
|
|
"D-M-Y< h:mm:SS>"
|
|
"j<, h:mm:SS>"
|
|
"YYddd< hh:mm:ss>"))
|
|
|
|
(defcalcmodevar calc-autorange-units nil
|
|
"If non-nil, automatically set unit prefixes to keep units in a reasonable range.")
|
|
|
|
(defcalcmodevar calc-was-keypad-mode nil
|
|
"Non-nil if Calc was last invoked in keypad mode.")
|
|
|
|
(defcalcmodevar calc-full-mode nil
|
|
"Non-nil if Calc was last invoked in full-screen mode.")
|
|
|
|
(defcalcmodevar calc-user-parse-tables nil
|
|
"Alist of languages with user-defined parse rules.")
|
|
|
|
(defcalcmodevar calc-gnuplot-default-device "default"
|
|
"The default device name for GNUPLOT plotting.")
|
|
|
|
(defcalcmodevar calc-gnuplot-default-output "STDOUT"
|
|
"The default output file for GNUPLOT plotting.")
|
|
|
|
(defcalcmodevar calc-gnuplot-print-device "postscript"
|
|
"The default device name for GNUPLOT printing.")
|
|
|
|
(defcalcmodevar calc-gnuplot-print-output "auto"
|
|
"The default output for GNUPLOT printing.")
|
|
|
|
(defcalcmodevar calc-gnuplot-geometry nil
|
|
"The default geometry for the GNUPLOT window.")
|
|
|
|
(defcalcmodevar calc-graph-default-resolution 15
|
|
"The default number of data points when plotting curves.")
|
|
|
|
(defcalcmodevar calc-graph-default-resolution-3d 5
|
|
"The default number of x- and y- data points when plotting surfaces.")
|
|
|
|
(defcalcmodevar calc-invocation-macro nil
|
|
"A user defined macro for starting Calc.
|
|
Used by `calc-user-invocation'.")
|
|
|
|
(defcalcmodevar calc-show-banner t
|
|
"*If non-nil, show a friendly greeting above the stack.")
|
|
|
|
(defconst calc-local-var-list '(calc-stack
|
|
calc-stack-top
|
|
calc-undo-list
|
|
calc-redo-list
|
|
calc-always-load-extensions
|
|
calc-mode-save-mode
|
|
calc-display-raw
|
|
calc-line-numbering
|
|
calc-line-breaking
|
|
calc-display-just
|
|
calc-display-origin
|
|
calc-left-label
|
|
calc-right-label
|
|
calc-auto-why
|
|
calc-algebraic-mode
|
|
calc-incomplete-algebraic-mode
|
|
calc-symbolic-mode
|
|
calc-matrix-mode
|
|
calc-inverse-flag
|
|
calc-hyperbolic-flag
|
|
calc-keep-args-flag
|
|
calc-angle-mode
|
|
calc-number-radix
|
|
calc-leading-zeros
|
|
calc-group-digits
|
|
calc-group-char
|
|
calc-point-char
|
|
calc-frac-format
|
|
calc-prefer-frac
|
|
calc-hms-format
|
|
calc-date-format
|
|
calc-standard-date-formats
|
|
calc-float-format
|
|
calc-full-float-format
|
|
calc-complex-format
|
|
calc-matrix-just
|
|
calc-full-vectors
|
|
calc-full-trail-vectors
|
|
calc-break-vectors
|
|
calc-vector-commas
|
|
calc-vector-brackets
|
|
calc-matrix-brackets
|
|
calc-complex-mode
|
|
calc-infinite-mode
|
|
calc-display-strings
|
|
calc-simplify-mode
|
|
calc-auto-recompute
|
|
calc-autorange-units
|
|
calc-show-plain
|
|
calc-show-selections
|
|
calc-use-selections
|
|
calc-assoc-selections
|
|
calc-word-size
|
|
calc-internal-prec))
|
|
|
|
(defvar calc-mode-hook nil
|
|
"Hook run when entering calc-mode.")
|
|
|
|
(defvar calc-trail-mode-hook nil
|
|
"Hook run when entering calc-trail-mode.")
|
|
|
|
(defvar calc-start-hook nil
|
|
"Hook run when calc is started.")
|
|
|
|
(defvar calc-end-hook nil
|
|
"Hook run when calc is quit.")
|
|
|
|
(defvar calc-load-hook nil
|
|
"Hook run when calc.el is loaded.")
|
|
|
|
(defvar calc-window-hook nil
|
|
"Hook called to create the Calc window.")
|
|
|
|
(defvar calc-trail-window-hook nil
|
|
"Hook called to create the Calc trail window.")
|
|
|
|
(defvar calc-embedded-new-buffer-hook nil
|
|
"Hook run when starting embedded mode in a new buffer.")
|
|
|
|
(defvar calc-embedded-new-formula-hook nil
|
|
"Hook run when starting embedded mode in a new formula.")
|
|
|
|
(defvar calc-embedded-mode-hook nil
|
|
"Hook run when starting embedded mode.")
|
|
|
|
;; Set up the autoloading linkage.
|
|
(let ((name (and (fboundp 'calc-dispatch)
|
|
(eq (car-safe (symbol-function 'calc-dispatch)) 'autoload)
|
|
(nth 1 (symbol-function 'calc-dispatch))))
|
|
(p load-path))
|
|
|
|
;; If Calc files exist on the load-path, we're all set.
|
|
(while (and p (not (file-exists-p
|
|
(expand-file-name "calc-misc.elc" (car p)))))
|
|
(setq p (cdr p)))
|
|
(or p
|
|
|
|
;; If Calc is autoloaded using a path name, look there for Calc files.
|
|
;; This works for both relative ("calc/calc.elc") and absolute paths.
|
|
(and name (file-name-directory name)
|
|
(let ((p2 load-path)
|
|
(name2 (concat (file-name-directory name)
|
|
"calc-misc.elc")))
|
|
(while (and p2 (not (file-exists-p
|
|
(expand-file-name name2 (car p2)))))
|
|
(setq p2 (cdr p2)))
|
|
(when p2
|
|
(setq load-path (nconc load-path
|
|
(list
|
|
(directory-file-name
|
|
(file-name-directory
|
|
(expand-file-name
|
|
name (car p2))))))))))))
|
|
|
|
;; The following modes use specially-formatted data.
|
|
(put 'calc-mode 'mode-class 'special)
|
|
(put 'calc-trail-mode 'mode-class 'special)
|
|
|
|
;; Define "inexact-result" as an e-lisp error symbol.
|
|
(put 'inexact-result 'error-conditions '(error inexact-result calc-error))
|
|
(put 'inexact-result 'error-message "Calc internal error (inexact-result)")
|
|
|
|
;; Define "math-overflow" and "math-underflow" as e-lisp error symbols.
|
|
(put 'math-overflow 'error-conditions '(error math-overflow calc-error))
|
|
(put 'math-overflow 'error-message "Floating-point overflow occurred")
|
|
(put 'math-underflow 'error-conditions '(error math-underflow calc-error))
|
|
(put 'math-underflow 'error-message "Floating-point underflow occurred")
|
|
|
|
(defconst calc-version "2.1")
|
|
(defvar calc-trail-pointer nil
|
|
"The \"current\" entry in trail buffer.")
|
|
(defvar calc-trail-overlay nil
|
|
"The value of overlay-arrow-string.")
|
|
(defvar calc-undo-list nil
|
|
"The list of previous operations for undo.")
|
|
(defvar calc-redo-list nil
|
|
"The list of recent undo operations.")
|
|
(defvar calc-main-buffer nil
|
|
"A pointer to Calculator buffer.")
|
|
(defvar calc-trail-buffer nil
|
|
"A pointer to Calc Trail buffer.")
|
|
(defvar calc-why nil
|
|
"Explanations of most recent errors.")
|
|
(defvar calc-next-why nil)
|
|
(defvar calc-inverse-flag nil
|
|
"If non-nil, next operation is Inverse.")
|
|
(defvar calc-hyperbolic-flag nil
|
|
"If non-nil, next operation is Hyperbolic.")
|
|
(defvar calc-keep-args-flag nil
|
|
"If non-nil, next operation should not remove its arguments from stack.")
|
|
(defvar calc-function-open "("
|
|
"Open-parenthesis string for function call notation.")
|
|
(defvar calc-function-close ")"
|
|
"Close-parenthesis string for function call notation.")
|
|
(defvar calc-language-output-filter nil
|
|
"Function through which to pass strings after formatting.")
|
|
(defvar calc-language-input-filter nil
|
|
"Function through which to pass strings before parsing.")
|
|
(defvar calc-radix-formatter nil
|
|
"Formatting function used for non-decimal numbers.")
|
|
(defvar calc-lang-slash-idiv nil
|
|
"A list of languages in which / might represent integer division.")
|
|
(defvar calc-lang-allow-underscores nil
|
|
"A list of languages which allow underscores in variable names.")
|
|
(defvar calc-lang-allow-percentsigns nil
|
|
"A list of languages which allow percent signs in variable names.")
|
|
(defvar calc-lang-c-type-hex nil
|
|
"Languages in which octal and hex numbers are written with leading 0 and 0x,")
|
|
(defvar calc-lang-brackets-are-subscripts nil
|
|
"Languages in which subscripts are indicated by brackets.")
|
|
(defvar calc-lang-parens-are-subscripts nil
|
|
"Languages in which subscripts are indicated by parentheses.")
|
|
|
|
(defvar calc-last-kill nil
|
|
"The last number killed in calc-mode.")
|
|
(defvar calc-dollar-values nil
|
|
"Values to be used for '$'.")
|
|
(defvar calc-dollar-used nil
|
|
"The highest order of '$' that occurred.")
|
|
(defvar calc-hashes-used nil
|
|
"The highest order of '#' that occurred.")
|
|
(defvar calc-quick-prev-results nil
|
|
"Previous results from Quick Calc.")
|
|
(defvar calc-said-hello nil
|
|
"Non-nil if the welcomd message has been displayed.")
|
|
(defvar calc-executing-macro nil
|
|
"Non-nil if a keyboard macro is executing from the \"K\" key.")
|
|
(defvar calc-any-selections nil
|
|
"Non-nil if there are selections present.")
|
|
(defvar calc-help-phase 0
|
|
"The number of consecutive \"?\" keystrokes.")
|
|
(defvar calc-full-help-flag nil
|
|
"Non-nil if `calc-full-help' is being executed.")
|
|
(defvar calc-refresh-count 0
|
|
"The number of `calc-refresh' calls.")
|
|
(defvar calc-display-dirty nil
|
|
"Non-nil if the stack display might not reflect the latest mode settings.")
|
|
(defvar calc-prepared-composition nil)
|
|
(defvar calc-selection-cache-default-entry nil)
|
|
(defvar calc-embedded-info nil
|
|
"If non-nil, a vector consisting of information for embedded mode.")
|
|
(defvar calc-embedded-active nil
|
|
"Alist of buffers with sorted lists of calc-embedded-infos.")
|
|
(defvar calc-standalone-flag nil
|
|
"Non-nil if Emacs started with standalone Calc.")
|
|
(defvar var-EvalRules nil
|
|
"User defined rules that Calc will apply automatically.")
|
|
(defvar math-eval-rules-cache-tag t)
|
|
(defvar math-radix-explicit-format t)
|
|
(defvar math-expr-function-mapping nil
|
|
"Alist of language specific functions with Calc functions.")
|
|
(defvar math-expr-variable-mapping nil
|
|
"Alist of language specific variables with Calc variables.")
|
|
(defvar math-read-expr-quotes nil)
|
|
(defvar math-working-step nil)
|
|
(defvar math-working-step-2 nil)
|
|
(defvar var-i '(special-const (math-imaginary 1)))
|
|
(defvar var-pi '(special-const (math-pi)))
|
|
(defvar var-e '(special-const (math-e)))
|
|
(defvar var-phi '(special-const (math-phi)))
|
|
(defvar var-gamma '(special-const (math-gamma-const)))
|
|
(defvar var-Modes '(special-const (math-get-modes-vec)))
|
|
|
|
(mapc (lambda (v) (or (boundp v) (set v nil)))
|
|
calc-local-var-list)
|
|
|
|
(defvar calc-mode-map nil
|
|
"The key map for Calc.")
|
|
|
|
(or calc-mode-map
|
|
(let ((map (make-keymap)))
|
|
(suppress-keymap map t)
|
|
(define-key map "+" 'calc-plus)
|
|
(define-key map "-" 'calc-minus)
|
|
(define-key map "*" 'calc-times)
|
|
(define-key map "/" 'calc-divide)
|
|
(define-key map "%" 'calc-mod)
|
|
(define-key map "&" 'calc-inv)
|
|
(define-key map "^" 'calc-power)
|
|
(define-key map "\M-%" 'calc-percent)
|
|
(define-key map "e" 'calcDigit-start)
|
|
(define-key map "i" 'calc-info)
|
|
(define-key map "n" 'calc-change-sign)
|
|
(define-key map "q" 'calc-quit)
|
|
(define-key map "Y" 'nil)
|
|
(define-key map "Y?" 'calc-shift-Y-prefix-help)
|
|
(define-key map "?" 'calc-help)
|
|
(define-key map " " 'calc-enter)
|
|
(define-key map "'" 'calc-algebraic-entry)
|
|
(define-key map "$" 'calc-auto-algebraic-entry)
|
|
(define-key map "\"" 'calc-auto-algebraic-entry)
|
|
(define-key map "\t" 'calc-roll-down)
|
|
(define-key map "\M-\t" 'calc-roll-up)
|
|
(define-key map "\C-m" 'calc-enter)
|
|
(define-key map "\M-\C-m" 'calc-last-args-stub)
|
|
(define-key map "\C-j" 'calc-over)
|
|
(define-key map "\C-y" 'calc-yank)
|
|
(define-key map [mouse-2] 'calc-yank)
|
|
|
|
(mapc (lambda (x) (define-key map (char-to-string x) 'undefined))
|
|
"lOW")
|
|
(mapc (lambda (x) (define-key map (char-to-string x) 'calc-missing-key))
|
|
(concat "ABCDEFGHIJKLMNPQRSTUVXZabcdfghjkmoprstuvwxyz"
|
|
":\\|!()[]<>{},;=~`\C-k\M-k\C-w\M-w\C-y\C-_"))
|
|
(mapc (lambda (x) (define-key map (char-to-string x) 'calcDigit-start))
|
|
"_0123456789.#@")
|
|
(setq calc-mode-map map)))
|
|
|
|
(defvar calc-digit-map nil
|
|
"The key map for entering Calc digits.")
|
|
|
|
(or calc-digit-map
|
|
(let ((map (make-keymap)))
|
|
(if (featurep 'xemacs)
|
|
(map-keymap (function
|
|
(lambda (keys bind)
|
|
(define-key map keys
|
|
(if (eq bind 'undefined)
|
|
'undefined 'calcDigit-nondigit))))
|
|
calc-mode-map)
|
|
(let ((cmap (nth 1 calc-mode-map))
|
|
(dmap (nth 1 map))
|
|
(i 0))
|
|
(while (< i 128)
|
|
(aset dmap i
|
|
(if (eq (aref cmap i) 'undefined)
|
|
'undefined 'calcDigit-nondigit))
|
|
(setq i (1+ i)))))
|
|
(mapc (lambda (x) (define-key map (char-to-string x) 'calcDigit-key))
|
|
"_0123456789.e+-:n#@oh'\"mspM")
|
|
(mapc (lambda (x) (define-key map (char-to-string x) 'calcDigit-letter))
|
|
"abcdfgijklqrtuvwxyzABCDEFGHIJKLNOPQRSTUVWXYZ")
|
|
(define-key map "'" 'calcDigit-algebraic)
|
|
(define-key map "`" 'calcDigit-edit)
|
|
(define-key map "\C-g" 'abort-recursive-edit)
|
|
(setq calc-digit-map map)))
|
|
|
|
(mapc (lambda (x)
|
|
(condition-case err
|
|
(progn
|
|
(define-key calc-digit-map x 'calcDigit-backspace)
|
|
(define-key calc-mode-map x 'calc-pop)
|
|
(define-key calc-mode-map
|
|
(if (vectorp x)
|
|
(if (featurep 'xemacs)
|
|
(if (= (length x) 1)
|
|
(vector (if (consp (aref x 0))
|
|
(cons 'meta (aref x 0))
|
|
(list 'meta (aref x 0))))
|
|
"\e\C-d")
|
|
(vconcat "\e" x))
|
|
(concat "\e" x))
|
|
'calc-pop-above))
|
|
(error nil)))
|
|
(if calc-scan-for-dels
|
|
(append (where-is-internal 'delete-backward-char global-map)
|
|
(where-is-internal 'backward-delete-char global-map)
|
|
(where-is-internal 'backward-delete-char-untabify global-map)
|
|
'("\C-d"))
|
|
'("\177" "\C-d")))
|
|
|
|
(defvar calc-dispatch-map nil
|
|
"The key map for starting Calc.")
|
|
|
|
(or calc-dispatch-map
|
|
(let ((map (make-keymap)))
|
|
(mapc (lambda (x)
|
|
(define-key map (char-to-string (car x)) (cdr x))
|
|
(when (string-match "abcdefhijklnopqrstuwxyz"
|
|
(char-to-string (car x)))
|
|
(define-key map (char-to-string (- (car x) ?a -1)) (cdr x)))
|
|
(define-key map (format "\e%c" (car x)) (cdr x)))
|
|
'( ( ?a . calc-embedded-activate )
|
|
( ?b . calc-big-or-small )
|
|
( ?c . calc )
|
|
( ?d . calc-embedded-duplicate )
|
|
( ?e . calc-embedded )
|
|
( ?f . calc-embedded-new-formula )
|
|
( ?g . calc-grab-region )
|
|
( ?h . calc-dispatch-help )
|
|
( ?i . calc-info )
|
|
( ?j . calc-embedded-select )
|
|
( ?k . calc-keypad )
|
|
( ?l . calc-load-everything )
|
|
( ?m . read-kbd-macro )
|
|
( ?n . calc-embedded-next )
|
|
( ?o . calc-other-window )
|
|
( ?p . calc-embedded-previous )
|
|
( ?q . quick-calc )
|
|
( ?r . calc-grab-rectangle )
|
|
( ?s . calc-info-summary )
|
|
( ?t . calc-tutorial )
|
|
( ?u . calc-embedded-update-formula )
|
|
( ?w . calc-embedded-word )
|
|
( ?x . calc-quit )
|
|
( ?y . calc-copy-to-buffer )
|
|
( ?z . calc-user-invocation )
|
|
( ?\' . calc-embedded-new-formula )
|
|
( ?\` . calc-embedded-edit )
|
|
( ?: . calc-grab-sum-down )
|
|
( ?_ . calc-grab-sum-across )
|
|
( ?0 . calc-reset )
|
|
( ?? . calc-dispatch-help )
|
|
( ?# . calc-same-interface )
|
|
( ?& . calc-same-interface )
|
|
( ?\\ . calc-same-interface )
|
|
( ?= . calc-same-interface )
|
|
( ?* . calc-same-interface )
|
|
( ?/ . calc-same-interface )
|
|
( ?+ . calc-same-interface )
|
|
( ?- . calc-same-interface ) ))
|
|
(setq calc-dispatch-map map)))
|
|
|
|
;;;; (Autoloads here)
|
|
(mapc
|
|
(lambda (x) (dolist (func (cdr x)) (autoload func (car x))))
|
|
'(
|
|
|
|
("calc-aent" calc-alg-digit-entry calc-alg-entry
|
|
calc-check-user-syntax calc-do-alg-entry calc-do-calc-eval
|
|
calc-do-quick-calc calc-match-user-syntax math-build-parse-table
|
|
math-find-user-tokens math-read-expr-list math-read-exprs math-read-if
|
|
math-read-token math-remove-dashes math-read-preprocess-string)
|
|
|
|
("calc-embed" calc-do-embedded-activate)
|
|
|
|
("calc-misc"
|
|
calc-do-handle-whys calc-do-refresh calc-num-prefix-name
|
|
calc-record-list calc-record-why calc-report-bug calc-roll-down-stack
|
|
calc-roll-up-stack calc-temp-minibuffer-message calcFunc-floor
|
|
calcFunc-inv calcFunc-trunc math-concat math-constp math-div2
|
|
math-div2-bignum math-do-working math-evenp math-fixnatnump
|
|
math-fixnump math-floor math-imod math-ipow math-looks-negp math-mod
|
|
math-negp math-posp math-pow math-read-radix-digit math-reject-arg
|
|
math-trunc math-zerop)))
|
|
|
|
(mapc
|
|
(lambda (x) (dolist (cmd (cdr x)) (autoload cmd (car x) nil t)))
|
|
'(
|
|
|
|
("calc-aent" calc-algebraic-entry calc-auto-algebraic-entry
|
|
calcDigit-algebraic calcDigit-edit)
|
|
|
|
("calc-misc" another-calc calc-big-or-small calc-dispatch-help
|
|
calc-help calc-info calc-info-goto-node calc-info-summary calc-inv
|
|
calc-last-args-stub
|
|
calc-missing-key calc-mod calc-other-window calc-over calc-percent
|
|
calc-pop-above calc-power calc-roll-down calc-roll-up
|
|
calc-shift-Y-prefix-help calc-tutorial calcDigit-letter
|
|
report-calc-bug)
|
|
|
|
("calc-yank" calc-yank)))
|
|
|
|
|
|
;;;###autoload (define-key ctl-x-map "*" 'calc-dispatch)
|
|
|
|
;;;###autoload
|
|
(defun calc-dispatch (&optional arg)
|
|
"Invoke the GNU Emacs Calculator. See `calc-dispatch-help' for details."
|
|
(interactive "P")
|
|
; (sit-for echo-keystrokes)
|
|
(condition-case err ; look for other keys bound to calc-dispatch
|
|
(let ((keys (this-command-keys)))
|
|
(unless (or (not (stringp keys))
|
|
(string-match "\\`\C-u\\|\\`\e[-0-9#]\\|`[\M--\M-0-\M-9]" keys)
|
|
(eq (lookup-key calc-dispatch-map keys) 'calc-same-interface))
|
|
(when (and (string-match "\\`[\C-@-\C-_]" keys)
|
|
(symbolp
|
|
(lookup-key calc-dispatch-map (substring keys 0 1))))
|
|
(define-key calc-dispatch-map (substring keys 0 1) nil))
|
|
(define-key calc-dispatch-map keys 'calc-same-interface)))
|
|
(error nil))
|
|
(calc-do-dispatch arg))
|
|
|
|
(defvar calc-dispatch-help nil)
|
|
(defun calc-do-dispatch (arg)
|
|
"Start the Calculator."
|
|
(let ((key (calc-read-key-sequence
|
|
(if calc-dispatch-help
|
|
"Calc options: Calc, Keypad, Quick, Embed; eXit; Info, Tutorial; Grab; ?=more"
|
|
(format "%s (Type ? for a list of Calc options)"
|
|
(key-description (this-command-keys))))
|
|
calc-dispatch-map)))
|
|
(setq key (lookup-key calc-dispatch-map key))
|
|
(message "")
|
|
(if key
|
|
(progn
|
|
(or (commandp key) (require 'calc-ext))
|
|
(call-interactively key))
|
|
(beep))))
|
|
|
|
(defun calc-read-key-sequence (prompt map)
|
|
"Read keys, with prompt PROMPT and keymap MAP."
|
|
(let ((prompt2 (format "%s " (key-description (this-command-keys))))
|
|
(glob (current-global-map))
|
|
(loc (current-local-map)))
|
|
(or (input-pending-p) (message "%s" prompt))
|
|
(let ((key (calc-read-key t)))
|
|
(calc-unread-command (cdr key))
|
|
(unwind-protect
|
|
(progn
|
|
(use-global-map map)
|
|
(use-local-map nil)
|
|
(read-key-sequence nil))
|
|
(use-global-map glob)
|
|
(use-local-map loc)))))
|
|
|
|
(defvar calc-alg-map) ; Defined in calc-ext.el
|
|
|
|
(defun calc-version ()
|
|
"Return version of this version of Calc."
|
|
(interactive)
|
|
(message "Calc version %s" calc-version))
|
|
|
|
(defun calc-mode ()
|
|
"Calculator major mode.
|
|
|
|
This is an RPN calculator featuring arbitrary-precision integer, rational,
|
|
floating-point, complex, matrix, and symbolic arithmetic.
|
|
|
|
RPN calculation: 2 RET 3 + produces 5.
|
|
Algebraic style: ' 2+3 RET produces 5.
|
|
|
|
Basic operators are +, -, *, /, ^, & (reciprocal), % (modulo), n (change-sign).
|
|
|
|
Press ? repeatedly for more complete help. Press `h i' to read the
|
|
Calc manual on-line, `h s' to read the summary, or `h t' for the tutorial.
|
|
|
|
Notations: 3.14e6 3.14 * 10^6
|
|
_23 negative number -23 (or type `23 n')
|
|
17:3 the fraction 17/3
|
|
5:2:3 the fraction 5 and 2/3
|
|
16#12C the integer 12C base 16 = 300 base 10
|
|
8#177:100 the fraction 177:100 base 8 = 127:64 base 10
|
|
(2, 4) complex number 2 + 4i
|
|
(2; 4) polar complex number (r; theta)
|
|
[1, 2, 3] vector ([[1, 2], [3, 4]] is a matrix)
|
|
[1 .. 4) semi-open interval, 1 <= x < 4
|
|
2 +/- 3 (p key) number with mean 2, standard deviation 3
|
|
2 mod 3 (M key) number 2 computed modulo 3
|
|
<1 jan 91> Date form (enter using ' key)
|
|
|
|
|
|
\\{calc-mode-map}
|
|
"
|
|
(interactive)
|
|
(mapc (function
|
|
(lambda (v) (set-default v (symbol-value v)))) calc-local-var-list)
|
|
(kill-all-local-variables)
|
|
(use-local-map (if (eq calc-algebraic-mode 'total)
|
|
(progn (require 'calc-ext) calc-alg-map) calc-mode-map))
|
|
(mapc (function (lambda (v) (make-local-variable v))) calc-local-var-list)
|
|
(make-local-variable 'overlay-arrow-position)
|
|
(make-local-variable 'overlay-arrow-string)
|
|
(add-hook 'change-major-mode-hook 'font-lock-defontify nil t)
|
|
(setq truncate-lines t)
|
|
(setq buffer-read-only t)
|
|
(setq major-mode 'calc-mode)
|
|
(setq mode-name "Calculator")
|
|
(setq calc-stack-top (length (or (memq (assq 'top-of-stack calc-stack)
|
|
calc-stack)
|
|
(setq calc-stack (list (list 'top-of-stack
|
|
1 nil))))))
|
|
(setq calc-stack-top (- (length calc-stack) calc-stack-top -1))
|
|
(or calc-loaded-settings-file
|
|
(null calc-settings-file)
|
|
(equal calc-settings-file user-init-file)
|
|
(progn
|
|
(setq calc-loaded-settings-file t)
|
|
(load (file-name-sans-extension calc-settings-file) t))) ; t = missing-ok
|
|
(let ((p command-line-args))
|
|
(while p
|
|
(and (equal (car p) "-f")
|
|
(string-match "calc" (nth 1 p))
|
|
(string-match "full" (nth 1 p))
|
|
(setq calc-standalone-flag t))
|
|
(setq p (cdr p))))
|
|
(require 'calc-menu)
|
|
(run-mode-hooks 'calc-mode-hook)
|
|
(calc-refresh t)
|
|
(calc-set-mode-line)
|
|
(calc-check-defines))
|
|
|
|
(defvar calc-check-defines 'calc-check-defines) ; suitable for run-hooks
|
|
(defun calc-check-defines ()
|
|
(if (symbol-plist 'calc-define)
|
|
(let ((plist (copy-sequence (symbol-plist 'calc-define))))
|
|
(while (and plist (null (nth 1 plist)))
|
|
(setq plist (cdr (cdr plist))))
|
|
(if plist
|
|
(save-excursion
|
|
(require 'calc-ext)
|
|
(require 'calc-macs)
|
|
(set-buffer "*Calculator*")
|
|
(while plist
|
|
(put 'calc-define (car plist) nil)
|
|
(eval (nth 1 plist))
|
|
(setq plist (cdr (cdr plist))))
|
|
;; See if this has added any more calc-define properties.
|
|
(calc-check-defines))
|
|
(setplist 'calc-define nil)))))
|
|
|
|
(defun calc-trail-mode (&optional buf)
|
|
"Calc Trail mode.
|
|
This mode is used by the *Calc Trail* buffer, which records all results
|
|
obtained by the GNU Emacs Calculator.
|
|
|
|
Calculator commands beginning with the `t' key are used to manipulate
|
|
the Trail.
|
|
|
|
This buffer uses the same key map as the *Calculator* buffer; calculator
|
|
commands given here will actually operate on the *Calculator* stack."
|
|
(interactive)
|
|
(fundamental-mode)
|
|
(use-local-map calc-mode-map)
|
|
(setq major-mode 'calc-trail-mode)
|
|
(setq mode-name "Calc Trail")
|
|
(setq truncate-lines t)
|
|
(setq buffer-read-only t)
|
|
(make-local-variable 'overlay-arrow-position)
|
|
(make-local-variable 'overlay-arrow-string)
|
|
(when buf
|
|
(set (make-local-variable 'calc-main-buffer) buf))
|
|
(when (= (buffer-size) 0)
|
|
(let ((buffer-read-only nil))
|
|
(insert (propertize (concat "Emacs Calculator Trail\n")
|
|
'font-lock-face 'italic))))
|
|
(run-mode-hooks 'calc-trail-mode-hook))
|
|
|
|
(defun calc-create-buffer ()
|
|
"Create and initialize a buffer for the Calculator."
|
|
(set-buffer (get-buffer-create "*Calculator*"))
|
|
(or (eq major-mode 'calc-mode)
|
|
(calc-mode))
|
|
(setq max-lisp-eval-depth (max max-lisp-eval-depth 1000))
|
|
(when calc-always-load-extensions
|
|
(require 'calc-ext))
|
|
(when calc-language
|
|
(require 'calc-ext)
|
|
(calc-set-language calc-language calc-language-option t)))
|
|
|
|
;;;###autoload
|
|
(defun calc (&optional arg full-display interactive)
|
|
"The Emacs Calculator. Full documentation is listed under \"calc-mode\"."
|
|
(interactive "P\ni\np")
|
|
(if arg
|
|
(unless (eq arg 0)
|
|
(require 'calc-ext)
|
|
(if (= (prefix-numeric-value arg) -1)
|
|
(calc-grab-region (region-beginning) (region-end) nil)
|
|
(when (= (prefix-numeric-value arg) -2)
|
|
(calc-keypad))))
|
|
(when (get-buffer-window "*Calc Keypad*")
|
|
(calc-keypad)
|
|
(set-buffer (window-buffer (selected-window))))
|
|
(if (eq major-mode 'calc-mode)
|
|
(calc-quit)
|
|
(let ((oldbuf (current-buffer)))
|
|
(calc-create-buffer)
|
|
(setq calc-was-keypad-mode nil)
|
|
(if (or (eq full-display t)
|
|
(and (null full-display) calc-full-mode))
|
|
(switch-to-buffer (current-buffer) t)
|
|
(if (get-buffer-window (current-buffer))
|
|
(select-window (get-buffer-window (current-buffer)))
|
|
(if calc-window-hook
|
|
(run-hooks 'calc-window-hook)
|
|
(let ((w (get-largest-window)))
|
|
(if (and pop-up-windows
|
|
(> (window-height w)
|
|
(+ window-min-height calc-window-height 2)))
|
|
(progn
|
|
(setq w (split-window w
|
|
(- (window-height w)
|
|
calc-window-height 2)
|
|
nil))
|
|
(set-window-buffer w (current-buffer))
|
|
(select-window w))
|
|
(pop-to-buffer (current-buffer)))))))
|
|
(save-excursion
|
|
(set-buffer (calc-trail-buffer))
|
|
(and calc-display-trail
|
|
(= (window-width) (frame-width))
|
|
(calc-trail-display 1 t)))
|
|
(message "Welcome to the GNU Emacs Calculator! Press `?' or `h' for help, `q' to quit")
|
|
(run-hooks 'calc-start-hook)
|
|
(and (windowp full-display)
|
|
(window-point full-display)
|
|
(select-window full-display))
|
|
(calc-check-defines)
|
|
(when (and calc-said-hello interactive)
|
|
(sit-for 2)
|
|
(message ""))
|
|
(setq calc-said-hello t)))))
|
|
|
|
;;;###autoload
|
|
(defun full-calc (&optional interactive)
|
|
"Invoke the Calculator and give it a full-sized window."
|
|
(interactive "p")
|
|
(calc nil t interactive))
|
|
|
|
(defun calc-same-interface (arg)
|
|
"Invoke the Calculator using the most recent interface (calc or calc-keypad)."
|
|
(interactive "P")
|
|
(if (and (equal (buffer-name) "*Gnuplot Trail*")
|
|
(> (recursion-depth) 0))
|
|
(exit-recursive-edit)
|
|
(if (eq major-mode 'calc-edit-mode)
|
|
(calc-edit-finish arg)
|
|
(if calc-was-keypad-mode
|
|
(calc-keypad)
|
|
(calc arg calc-full-mode t)))))
|
|
|
|
(defun calc-quit (&optional non-fatal interactive)
|
|
"Quit the Calculator in an appropriate manner."
|
|
(interactive "i\np")
|
|
(and calc-standalone-flag (not non-fatal)
|
|
(save-buffers-kill-emacs nil))
|
|
(if (and (equal (buffer-name) "*Gnuplot Trail*")
|
|
(> (recursion-depth) 0))
|
|
(exit-recursive-edit))
|
|
(if (eq major-mode 'calc-edit-mode)
|
|
(calc-edit-cancel)
|
|
(if (and interactive
|
|
calc-embedded-info
|
|
(eq (current-buffer) (aref calc-embedded-info 0)))
|
|
(calc-embedded nil)
|
|
(unless (eq major-mode 'calc-mode)
|
|
(calc-create-buffer))
|
|
(run-hooks 'calc-end-hook)
|
|
(setq calc-undo-list nil calc-redo-list nil)
|
|
(mapc (function (lambda (v) (set-default v (symbol-value v))))
|
|
calc-local-var-list)
|
|
(let ((buf (current-buffer))
|
|
(win (get-buffer-window (current-buffer)))
|
|
(kbuf (get-buffer "*Calc Keypad*")))
|
|
(delete-windows-on (calc-trail-buffer))
|
|
(if (and win
|
|
(< (window-height win) (1- (frame-height)))
|
|
(= (window-width win) (frame-width)) ; avoid calc-keypad
|
|
(not (get-buffer-window "*Calc Keypad*")))
|
|
(setq calc-window-height (- (window-height win) 2)))
|
|
(progn
|
|
(delete-windows-on buf)
|
|
(delete-windows-on kbuf))
|
|
(bury-buffer buf)
|
|
(bury-buffer calc-trail-buffer)
|
|
(and kbuf (bury-buffer kbuf))))))
|
|
|
|
;;;###autoload
|
|
(defun quick-calc ()
|
|
"Do a quick calculation in the minibuffer without invoking full Calculator."
|
|
(interactive)
|
|
(calc-do-quick-calc))
|
|
|
|
;;;###autoload
|
|
(defun calc-eval (str &optional separator &rest args)
|
|
"Do a quick calculation and return the result as a string.
|
|
Return value will either be the formatted result in string form,
|
|
or a list containing a character position and an error message in string form."
|
|
(calc-do-calc-eval str separator args))
|
|
|
|
;;;###autoload
|
|
(defun calc-keypad (&optional interactive)
|
|
"Invoke the Calculator in \"visual keypad\" mode.
|
|
This is most useful in the X window system.
|
|
In this mode, click on the Calc \"buttons\" using the left mouse button.
|
|
Or, position the cursor manually and do M-x calc-keypad-press."
|
|
(interactive "p")
|
|
(require 'calc-ext)
|
|
(calc-do-keypad calc-full-mode interactive))
|
|
|
|
;;;###autoload
|
|
(defun full-calc-keypad (&optional interactive)
|
|
"Invoke the Calculator in full-screen \"visual keypad\" mode.
|
|
See calc-keypad for details."
|
|
(interactive "p")
|
|
(require 'calc-ext)
|
|
(calc-do-keypad t interactive))
|
|
|
|
|
|
(defvar calc-aborted-prefix nil)
|
|
(defvar calc-start-time nil)
|
|
(defvar calc-command-flags)
|
|
(defvar calc-final-point-line)
|
|
(defvar calc-final-point-column)
|
|
;;; Note that modifications to this function may break calc-pass-errors.
|
|
(defun calc-do (do-body &optional do-slow)
|
|
(calc-check-defines)
|
|
(let* ((calc-command-flags nil)
|
|
(calc-start-time (and calc-timing (not calc-start-time)
|
|
(require 'calc-ext)
|
|
(current-time-string)))
|
|
(gc-cons-threshold (max gc-cons-threshold
|
|
(if calc-timing 2000000 100000)))
|
|
calc-final-point-line calc-final-point-column)
|
|
(setq calc-aborted-prefix "")
|
|
(unwind-protect
|
|
(condition-case err
|
|
(save-excursion
|
|
(if calc-embedded-info
|
|
(calc-embedded-select-buffer)
|
|
(calc-select-buffer))
|
|
(and (eq calc-algebraic-mode 'total)
|
|
(require 'calc-ext)
|
|
(use-local-map calc-alg-map))
|
|
(when (and do-slow calc-display-working-message)
|
|
(message "Working...")
|
|
(calc-set-command-flag 'clear-message))
|
|
(funcall do-body)
|
|
(setq calc-aborted-prefix nil)
|
|
(when (memq 'renum-stack calc-command-flags)
|
|
(calc-renumber-stack))
|
|
(when (memq 'clear-message calc-command-flags)
|
|
(message "")))
|
|
(error
|
|
(if (and (eq (car err) 'error)
|
|
(stringp (nth 1 err))
|
|
(string-match "max-specpdl-size\\|max-lisp-eval-depth"
|
|
(nth 1 err)))
|
|
(error "Computation got stuck or ran too long. Type `M' to increase the limit")
|
|
(setq calc-aborted-prefix nil)
|
|
(signal (car err) (cdr err)))))
|
|
(when calc-aborted-prefix
|
|
(calc-record "<Aborted>" calc-aborted-prefix))
|
|
(and calc-start-time
|
|
(let* ((calc-internal-prec 12)
|
|
(calc-date-format nil)
|
|
(end-time (current-time-string))
|
|
(time (if (equal calc-start-time end-time)
|
|
0
|
|
(math-sub
|
|
(calcFunc-unixtime (math-parse-date end-time) 0)
|
|
(calcFunc-unixtime (math-parse-date calc-start-time)
|
|
0)))))
|
|
(if (math-lessp 1 time)
|
|
(calc-record time "(t)"))))
|
|
(or (memq 'no-align calc-command-flags)
|
|
(eq major-mode 'calc-trail-mode)
|
|
(calc-align-stack-window))
|
|
(and (memq 'position-point calc-command-flags)
|
|
(if (eq major-mode 'calc-mode)
|
|
(progn
|
|
(goto-line calc-final-point-line)
|
|
(move-to-column calc-final-point-column))
|
|
(save-current-buffer
|
|
(calc-select-buffer)
|
|
(goto-line calc-final-point-line)
|
|
(move-to-column calc-final-point-column))))
|
|
(unless (memq 'keep-flags calc-command-flags)
|
|
(save-excursion
|
|
(calc-select-buffer)
|
|
(setq calc-inverse-flag nil
|
|
calc-hyperbolic-flag nil
|
|
calc-keep-args-flag nil)))
|
|
(when (memq 'do-edit calc-command-flags)
|
|
(switch-to-buffer (get-buffer-create "*Calc Edit*")))
|
|
(calc-set-mode-line)
|
|
(when calc-embedded-info
|
|
(calc-embedded-finish-command))))
|
|
(identity nil)) ; allow a GC after timing is done
|
|
|
|
|
|
(defun calc-set-command-flag (f)
|
|
(unless (memq f calc-command-flags)
|
|
(setq calc-command-flags (cons f calc-command-flags))))
|
|
|
|
(defun calc-select-buffer ()
|
|
(or (eq major-mode 'calc-mode)
|
|
(if calc-main-buffer
|
|
(set-buffer calc-main-buffer)
|
|
(let ((buf (get-buffer "*Calculator*")))
|
|
(if buf
|
|
(set-buffer buf)
|
|
(error "Calculator buffer not available"))))))
|
|
|
|
(defun calc-cursor-stack-index (&optional index)
|
|
(goto-char (point-max))
|
|
(forward-line (- (calc-substack-height (or index 1)))))
|
|
|
|
(defun calc-stack-size ()
|
|
(- (length calc-stack) calc-stack-top))
|
|
|
|
(defun calc-substack-height (n)
|
|
(let ((sum 0)
|
|
(stack calc-stack))
|
|
(setq n (+ n calc-stack-top))
|
|
(while (and (> n 0) stack)
|
|
(setq sum (+ sum (nth 1 (car stack)))
|
|
n (1- n)
|
|
stack (cdr stack)))
|
|
sum))
|
|
|
|
(defun calc-set-mode-line ()
|
|
(save-excursion
|
|
(calc-select-buffer)
|
|
(let* ((fmt (car calc-float-format))
|
|
(figs (nth 1 calc-float-format))
|
|
(new-mode-string
|
|
(format "Calc%s%s: %d %s %-14s"
|
|
(if calc-embedded-info "Embed" "")
|
|
(if (and (> (length (buffer-name)) 12)
|
|
(equal (substring (buffer-name) 0 12)
|
|
"*Calculator*"))
|
|
(substring (buffer-name) 12)
|
|
"")
|
|
calc-internal-prec
|
|
(capitalize (symbol-name calc-angle-mode))
|
|
(concat
|
|
|
|
;; Input-related modes
|
|
(if (eq calc-algebraic-mode 'total) "Alg* "
|
|
(if calc-algebraic-mode "Alg "
|
|
(if calc-incomplete-algebraic-mode "Alg[( " "")))
|
|
|
|
;; Computational modes
|
|
(if calc-symbolic-mode "Symb " "")
|
|
(cond ((eq calc-matrix-mode 'matrix) "Matrix ")
|
|
((integerp calc-matrix-mode)
|
|
(format "Matrix%d " calc-matrix-mode))
|
|
((eq calc-matrix-mode 'sqmatrix) "SqMatrix ")
|
|
((eq calc-matrix-mode 'scalar) "Scalar ")
|
|
(t ""))
|
|
(if (eq calc-complex-mode 'polar) "Polar " "")
|
|
(if calc-prefer-frac "Frac " "")
|
|
(cond ((null calc-infinite-mode) "")
|
|
((eq calc-infinite-mode 1) "+Inf ")
|
|
(t "Inf "))
|
|
(cond ((eq calc-simplify-mode 'none) "NoSimp ")
|
|
((eq calc-simplify-mode 'num) "NumSimp ")
|
|
((eq calc-simplify-mode 'binary)
|
|
(format "BinSimp%d " calc-word-size))
|
|
((eq calc-simplify-mode 'alg) "AlgSimp ")
|
|
((eq calc-simplify-mode 'ext) "ExtSimp ")
|
|
((eq calc-simplify-mode 'units) "UnitSimp ")
|
|
(t ""))
|
|
|
|
;; Display modes
|
|
(cond ((= calc-number-radix 10) "")
|
|
((= calc-number-radix 2) "Bin ")
|
|
((= calc-number-radix 8) "Oct ")
|
|
((= calc-number-radix 16) "Hex ")
|
|
(t (format "Radix%d " calc-number-radix)))
|
|
(if calc-leading-zeros "Zero " "")
|
|
(cond ((null calc-language) "")
|
|
((get calc-language 'math-lang-name)
|
|
(concat (get calc-language 'math-lang-name) " "))
|
|
(t (concat
|
|
(capitalize (symbol-name calc-language))
|
|
" ")))
|
|
(cond ((eq fmt 'float)
|
|
(if (zerop figs) "" (format "Norm%d " figs)))
|
|
((eq fmt 'fix) (format "Fix%d " figs))
|
|
((eq fmt 'sci)
|
|
(if (zerop figs) "Sci " (format "Sci%d " figs)))
|
|
((eq fmt 'eng)
|
|
(if (zerop figs) "Eng " (format "Eng%d " figs))))
|
|
(cond ((not calc-display-just)
|
|
(if calc-display-origin
|
|
(format "Left%d " calc-display-origin) ""))
|
|
((eq calc-display-just 'right)
|
|
(if calc-display-origin
|
|
(format "Right%d " calc-display-origin)
|
|
"Right "))
|
|
(t
|
|
(if calc-display-origin
|
|
(format "Center%d " calc-display-origin)
|
|
"Center ")))
|
|
(cond ((integerp calc-line-breaking)
|
|
(format "Wid%d " calc-line-breaking))
|
|
(calc-line-breaking "")
|
|
(t "Wide "))
|
|
|
|
;; Miscellaneous other modes/indicators
|
|
(if calc-assoc-selections "" "Break ")
|
|
(cond ((eq calc-mode-save-mode 'save) "Save ")
|
|
((not calc-embedded-info) "")
|
|
((eq calc-mode-save-mode 'local) "Local ")
|
|
((eq calc-mode-save-mode 'edit) "LocEdit ")
|
|
((eq calc-mode-save-mode 'perm) "LocPerm ")
|
|
((eq calc-mode-save-mode 'global) "Global ")
|
|
(t ""))
|
|
(if calc-auto-recompute "" "Manual ")
|
|
(if (and (fboundp 'calc-gnuplot-alive)
|
|
(calc-gnuplot-alive)) "Graph " "")
|
|
(if (and calc-embedded-info
|
|
(> (calc-stack-size) 0)
|
|
(calc-top 1 'sel)) "Sel " "")
|
|
(if calc-display-dirty "Dirty " "")
|
|
(if calc-inverse-flag "Inv " "")
|
|
(if calc-hyperbolic-flag "Hyp " "")
|
|
(if calc-keep-args-flag "Keep " "")
|
|
(if (/= calc-stack-top 1) "Narrow " "")
|
|
(apply 'concat calc-other-modes)))))
|
|
(if (equal new-mode-string mode-line-buffer-identification)
|
|
nil
|
|
(setq mode-line-buffer-identification new-mode-string)
|
|
(set-buffer-modified-p (buffer-modified-p))
|
|
(and calc-embedded-info (calc-embedded-mode-line-change))))))
|
|
|
|
(defun calc-align-stack-window ()
|
|
(if (eq major-mode 'calc-mode)
|
|
(progn
|
|
(let ((win (get-buffer-window (current-buffer))))
|
|
(if win
|
|
(progn
|
|
(calc-cursor-stack-index 0)
|
|
(vertical-motion (- 2 (window-height win)))
|
|
(set-window-start win (point)))))
|
|
(calc-cursor-stack-index 0)
|
|
(if (looking-at " *\\.$")
|
|
(goto-char (1- (match-end 0)))))
|
|
(save-excursion
|
|
(calc-select-buffer)
|
|
(calc-align-stack-window))))
|
|
|
|
(defun calc-check-stack (n)
|
|
(if (> n (calc-stack-size))
|
|
(error "Too few elements on stack"))
|
|
(if (< n 0)
|
|
(error "Invalid argument")))
|
|
|
|
(defun calc-push-list (vals &optional m sels)
|
|
(while vals
|
|
(if calc-executing-macro
|
|
(calc-push-list-in-macro vals m sels)
|
|
(save-excursion
|
|
(calc-select-buffer)
|
|
(let* ((val (car vals))
|
|
(entry (list val 1 (car sels)))
|
|
(mm (+ (or m 1) calc-stack-top)))
|
|
(calc-cursor-stack-index (1- (or m 1)))
|
|
(if (> mm 1)
|
|
(setcdr (nthcdr (- mm 2) calc-stack)
|
|
(cons entry (nthcdr (1- mm) calc-stack)))
|
|
(setq calc-stack (cons entry calc-stack)))
|
|
(let ((buffer-read-only nil))
|
|
(insert (math-format-stack-value entry) "\n"))
|
|
(calc-record-undo (list 'push mm))
|
|
(calc-set-command-flag 'renum-stack))))
|
|
(setq vals (cdr vals)
|
|
sels (cdr sels))))
|
|
|
|
(defun calc-pop-push-list (n vals &optional m sels)
|
|
(if (and calc-any-selections (null sels))
|
|
(calc-replace-selections n vals m)
|
|
(calc-pop-stack n m sels)
|
|
(calc-push-list vals m sels)))
|
|
|
|
(defun calc-pop-push-record-list (n prefix vals &optional m sels)
|
|
(or (and (consp vals)
|
|
(or (integerp (car vals))
|
|
(consp (car vals))))
|
|
(and vals (setq vals (list vals)
|
|
sels (and sels (list sels)))))
|
|
(calc-check-stack (+ n (or m 1) -1))
|
|
(if prefix
|
|
(if (cdr vals)
|
|
(calc-record-list vals prefix)
|
|
(calc-record (car vals) prefix)))
|
|
(calc-pop-push-list n vals m sels))
|
|
|
|
(defun calc-enter-result (n prefix vals &optional m)
|
|
(setq calc-aborted-prefix prefix)
|
|
(if (and (consp vals)
|
|
(or (integerp (car vals))
|
|
(consp (car vals))))
|
|
(setq vals (mapcar 'calc-normalize vals))
|
|
(setq vals (calc-normalize vals)))
|
|
(or (and (consp vals)
|
|
(or (integerp (car vals))
|
|
(consp (car vals))))
|
|
(setq vals (list vals)))
|
|
(if (equal vals '((nil)))
|
|
(setq vals nil))
|
|
(calc-pop-push-record-list n prefix vals m)
|
|
(calc-handle-whys))
|
|
|
|
(defun calc-normalize (val)
|
|
(if (memq calc-simplify-mode '(nil none num))
|
|
(math-normalize val)
|
|
(require 'calc-ext)
|
|
(calc-normalize-fancy val)))
|
|
|
|
(defun calc-handle-whys ()
|
|
(if calc-next-why
|
|
(calc-do-handle-whys)))
|
|
|
|
|
|
(defun calc-pop-stack (&optional n m sel-ok) ; pop N objs at level M of stack.
|
|
(or n (setq n 1))
|
|
(or m (setq m 1))
|
|
(or calc-keep-args-flag
|
|
(let ((mm (+ m calc-stack-top)))
|
|
(if (and calc-any-selections (not sel-ok)
|
|
(calc-top-selected n m))
|
|
(calc-sel-error))
|
|
(if calc-executing-macro
|
|
(calc-pop-stack-in-macro n mm)
|
|
(calc-record-undo (list 'pop mm (calc-top-list n m 'full)))
|
|
(save-excursion
|
|
(calc-select-buffer)
|
|
(let ((buffer-read-only nil))
|
|
(if (> mm 1)
|
|
(progn
|
|
(calc-cursor-stack-index (1- m))
|
|
(let ((bot (point)))
|
|
(calc-cursor-stack-index (+ n m -1))
|
|
(delete-region (point) bot))
|
|
(setcdr (nthcdr (- mm 2) calc-stack)
|
|
(nthcdr (+ n mm -1) calc-stack)))
|
|
(calc-cursor-stack-index n)
|
|
(setq calc-stack (nthcdr n calc-stack))
|
|
(delete-region (point) (point-max))))
|
|
(calc-set-command-flag 'renum-stack))))))
|
|
|
|
(defvar sel-mode)
|
|
(defun calc-get-stack-element (x)
|
|
(cond ((eq sel-mode 'entry)
|
|
x)
|
|
((eq sel-mode 'sel)
|
|
(nth 2 x))
|
|
((or (null (nth 2 x))
|
|
(eq sel-mode 'full)
|
|
(not calc-use-selections))
|
|
(car x))
|
|
(sel-mode
|
|
(calc-sel-error))
|
|
(t (nth 2 x))))
|
|
|
|
;; Get the Nth element of the stack (N=1 is the top element).
|
|
(defun calc-top (&optional n sel-mode)
|
|
(or n (setq n 1))
|
|
(calc-check-stack n)
|
|
(calc-get-stack-element (nth (+ n calc-stack-top -1) calc-stack)))
|
|
|
|
(defun calc-top-n (&optional n sel-mode) ; in case precision has changed
|
|
(math-check-complete (calc-normalize (calc-top n sel-mode))))
|
|
|
|
(defun calc-top-list (&optional n m sel-mode)
|
|
(or n (setq n 1))
|
|
(or m (setq m 1))
|
|
(calc-check-stack (+ n m -1))
|
|
(and (> n 0)
|
|
(let ((top (copy-sequence (nthcdr (+ m calc-stack-top -1)
|
|
calc-stack))))
|
|
(setcdr (nthcdr (1- n) top) nil)
|
|
(nreverse (mapcar 'calc-get-stack-element top)))))
|
|
|
|
(defun calc-top-list-n (&optional n m sel-mode)
|
|
(mapcar 'math-check-complete
|
|
(mapcar 'calc-normalize (calc-top-list n m sel-mode))))
|
|
|
|
|
|
(defun calc-renumber-stack ()
|
|
(if calc-line-numbering
|
|
(save-excursion
|
|
(calc-cursor-stack-index 0)
|
|
(let ((lnum 1)
|
|
(buffer-read-only nil)
|
|
(stack (nthcdr calc-stack-top calc-stack)))
|
|
(if (re-search-forward "^[0-9]+[:*]" nil t)
|
|
(progn
|
|
(beginning-of-line)
|
|
(while (re-search-forward "^[0-9]+[:*]" nil t)
|
|
(let ((buffer-read-only nil))
|
|
(beginning-of-line)
|
|
(delete-char 4)
|
|
(insert " ")))
|
|
(calc-cursor-stack-index 0)))
|
|
(while (re-search-backward "^[0-9]+[:*]" nil t)
|
|
(delete-char 4)
|
|
(if (> lnum 999)
|
|
(insert (format "%03d%s" (% lnum 1000)
|
|
(if (and (nth 2 (car stack))
|
|
calc-use-selections) "*" ":")))
|
|
(let ((prefix (int-to-string lnum)))
|
|
(insert prefix (if (and (nth 2 (car stack))
|
|
calc-use-selections) "*" ":")
|
|
(make-string (- 3 (length prefix)) 32))))
|
|
(beginning-of-line)
|
|
(setq lnum (1+ lnum)
|
|
stack (cdr stack))))))
|
|
(and calc-embedded-info (calc-embedded-stack-change)))
|
|
|
|
(defvar calc-any-evaltos nil)
|
|
(defun calc-refresh (&optional align)
|
|
(interactive)
|
|
(and (eq major-mode 'calc-mode)
|
|
(not calc-executing-macro)
|
|
(let* ((buffer-read-only nil)
|
|
(save-point (point))
|
|
(save-mark (condition-case err (mark) (error nil)))
|
|
(save-aligned (looking-at "\\.$"))
|
|
(thing calc-stack)
|
|
(calc-any-evaltos nil))
|
|
(setq calc-any-selections nil)
|
|
(erase-buffer)
|
|
(when calc-show-banner
|
|
(insert (propertize "--- Emacs Calculator Mode ---\n"
|
|
'font-lock-face 'italic)))
|
|
(while thing
|
|
(goto-char (point-min))
|
|
(when calc-show-banner
|
|
(forward-line 1))
|
|
(insert (math-format-stack-value (car thing)) "\n")
|
|
(setq thing (cdr thing)))
|
|
(calc-renumber-stack)
|
|
(if calc-display-dirty
|
|
(calc-wrapper (setq calc-display-dirty nil)))
|
|
(and calc-any-evaltos calc-auto-recompute
|
|
(calc-wrapper (calc-refresh-evaltos)))
|
|
(if (or align save-aligned)
|
|
(calc-align-stack-window)
|
|
(goto-char save-point))
|
|
(if save-mark (set-mark save-mark))))
|
|
(and calc-embedded-info (not (eq major-mode 'calc-mode))
|
|
(save-excursion
|
|
(set-buffer (aref calc-embedded-info 1))
|
|
(calc-refresh align)))
|
|
(setq calc-refresh-count (1+ calc-refresh-count)))
|
|
|
|
;;;; The Calc Trail buffer.
|
|
|
|
(defun calc-check-trail-aligned ()
|
|
(save-excursion
|
|
(let ((win (get-buffer-window (current-buffer))))
|
|
(and win
|
|
(pos-visible-in-window-p (1- (point-max)) win)))))
|
|
|
|
(defun calc-trail-buffer ()
|
|
(and (or (null calc-trail-buffer)
|
|
(null (buffer-name calc-trail-buffer)))
|
|
(save-excursion
|
|
(setq calc-trail-buffer (get-buffer-create "*Calc Trail*"))
|
|
(let ((buf (or (and (not (eq major-mode 'calc-mode))
|
|
(get-buffer "*Calculator*"))
|
|
(current-buffer))))
|
|
(set-buffer calc-trail-buffer)
|
|
(or (eq major-mode 'calc-trail-mode)
|
|
(calc-trail-mode buf)))))
|
|
(or (and calc-trail-pointer
|
|
(eq (marker-buffer calc-trail-pointer) calc-trail-buffer))
|
|
(save-excursion
|
|
(set-buffer calc-trail-buffer)
|
|
(goto-line 2)
|
|
(setq calc-trail-pointer (point-marker))))
|
|
calc-trail-buffer)
|
|
|
|
(defun calc-record (val &optional prefix)
|
|
(setq calc-aborted-prefix nil)
|
|
(or calc-executing-macro
|
|
(let* ((mainbuf (current-buffer))
|
|
(buf (calc-trail-buffer))
|
|
(calc-display-raw nil)
|
|
(calc-can-abbrev-vectors t)
|
|
(fval (if val
|
|
(if (stringp val)
|
|
val
|
|
(math-showing-full-precision
|
|
(math-format-flat-expr val 0)))
|
|
"")))
|
|
(save-excursion
|
|
(set-buffer buf)
|
|
(let ((aligned (calc-check-trail-aligned))
|
|
(buffer-read-only nil))
|
|
(goto-char (point-max))
|
|
(cond ((null prefix) (insert " "))
|
|
((and (> (length prefix) 4)
|
|
(string-match " " prefix 4))
|
|
(insert (substring prefix 0 4) " "))
|
|
(t (insert (format "%4s " prefix))))
|
|
(insert fval "\n")
|
|
(let ((win (get-buffer-window buf)))
|
|
(if (and aligned win (not (memq 'hold-trail calc-command-flags)))
|
|
(calc-trail-here))
|
|
(goto-char (1- (point-max))))))))
|
|
val)
|
|
|
|
|
|
(defun calc-trail-display (flag &optional no-refresh interactive)
|
|
(interactive "P\ni\np")
|
|
(let ((win (get-buffer-window (calc-trail-buffer))))
|
|
(if (setq calc-display-trail
|
|
(not (if flag (memq flag '(nil 0)) win)))
|
|
(if (null win)
|
|
(progn
|
|
(if calc-trail-window-hook
|
|
(run-hooks 'calc-trail-window-hook)
|
|
(let ((w (split-window nil (/ (* (window-width) 2) 3) t)))
|
|
(set-window-buffer w calc-trail-buffer)))
|
|
(calc-wrapper
|
|
(setq overlay-arrow-string calc-trail-overlay
|
|
overlay-arrow-position calc-trail-pointer)
|
|
(or no-refresh
|
|
(if interactive
|
|
(calc-do-refresh)
|
|
(calc-refresh))))))
|
|
(if win
|
|
(progn
|
|
(delete-window win)
|
|
(calc-wrapper
|
|
(or no-refresh
|
|
(if interactive
|
|
(calc-do-refresh)
|
|
(calc-refresh))))))))
|
|
calc-trail-buffer)
|
|
|
|
(defun calc-trail-here ()
|
|
(interactive)
|
|
(if (eq major-mode 'calc-trail-mode)
|
|
(progn
|
|
(beginning-of-line)
|
|
(if (bobp)
|
|
(forward-line 1)
|
|
(if (eobp)
|
|
(forward-line -1)))
|
|
(if (or (bobp) (eobp))
|
|
(setq overlay-arrow-position nil) ; trail is empty
|
|
(set-marker calc-trail-pointer (point) (current-buffer))
|
|
(setq calc-trail-overlay (concat (buffer-substring (point)
|
|
(+ (point) 4))
|
|
">")
|
|
overlay-arrow-string calc-trail-overlay
|
|
overlay-arrow-position calc-trail-pointer)
|
|
(forward-char 4)
|
|
(let ((win (get-buffer-window (current-buffer))))
|
|
(if win
|
|
(save-excursion
|
|
(forward-line (/ (window-height win) 2))
|
|
(forward-line (- 1 (window-height win)))
|
|
(set-window-start win (point))
|
|
(set-window-point win (+ calc-trail-pointer 4))
|
|
(set-buffer calc-main-buffer)
|
|
(setq overlay-arrow-string calc-trail-overlay
|
|
overlay-arrow-position calc-trail-pointer))))))
|
|
(error "Not in Calc Trail buffer")))
|
|
|
|
|
|
|
|
|
|
;;;; The Undo list.
|
|
|
|
(defun calc-record-undo (rec)
|
|
(or calc-executing-macro
|
|
(if (memq 'undo calc-command-flags)
|
|
(setq calc-undo-list (cons (cons rec (car calc-undo-list))
|
|
(cdr calc-undo-list)))
|
|
(setq calc-undo-list (cons (list rec) calc-undo-list)
|
|
calc-redo-list nil)
|
|
(calc-set-command-flag 'undo))))
|
|
|
|
|
|
|
|
|
|
;;; Arithmetic commands.
|
|
|
|
(defun calc-binary-op (name func arg &optional ident unary func2)
|
|
(setq calc-aborted-prefix name)
|
|
(if (null arg)
|
|
(calc-enter-result 2 name (cons (or func2 func)
|
|
(mapcar 'math-check-complete
|
|
(calc-top-list 2))))
|
|
(require 'calc-ext)
|
|
(calc-binary-op-fancy name func arg ident unary)))
|
|
|
|
(defun calc-unary-op (name func arg &optional func2)
|
|
(setq calc-aborted-prefix name)
|
|
(if (null arg)
|
|
(calc-enter-result 1 name (list (or func2 func)
|
|
(math-check-complete (calc-top 1))))
|
|
(require 'calc-ext)
|
|
(calc-unary-op-fancy name func arg)))
|
|
|
|
|
|
(defun calc-plus (arg)
|
|
(interactive "P")
|
|
(calc-slow-wrapper
|
|
(calc-binary-op "+" 'calcFunc-add arg 0 nil '+)))
|
|
|
|
(defun calc-minus (arg)
|
|
(interactive "P")
|
|
(calc-slow-wrapper
|
|
(calc-binary-op "-" 'calcFunc-sub arg 0 'neg '-)))
|
|
|
|
(defun calc-times (arg)
|
|
(interactive "P")
|
|
(calc-slow-wrapper
|
|
(calc-binary-op "*" 'calcFunc-mul arg 1 nil '*)))
|
|
|
|
(defun calc-divide (arg)
|
|
(interactive "P")
|
|
(calc-slow-wrapper
|
|
(calc-binary-op "/" 'calcFunc-div arg 0 'calcFunc-inv '/)))
|
|
|
|
(defun calc-left-divide (arg)
|
|
(interactive "P")
|
|
(calc-slow-wrapper
|
|
(calc-binary-op "ldiv" 'calcFunc-ldiv arg 0 nil nil)))
|
|
|
|
(defun calc-change-sign (arg)
|
|
(interactive "P")
|
|
(calc-wrapper
|
|
(calc-unary-op "chs" 'neg arg)))
|
|
|
|
|
|
|
|
;;; Stack management commands.
|
|
|
|
(defun calc-enter (n)
|
|
(interactive "p")
|
|
(calc-wrapper
|
|
(cond ((< n 0)
|
|
(calc-push-list (calc-top-list 1 (- n))))
|
|
((= n 0)
|
|
(calc-push-list (calc-top-list (calc-stack-size))))
|
|
(t
|
|
(calc-push-list (calc-top-list n))))))
|
|
|
|
|
|
(defun calc-pop (n)
|
|
(interactive "P")
|
|
(calc-wrapper
|
|
(let* ((nn (prefix-numeric-value n))
|
|
(top (and (null n) (calc-top 1))))
|
|
(cond ((and (null n)
|
|
(eq (car-safe top) 'incomplete)
|
|
(> (length top) (if (eq (nth 1 top) 'intv) 3 2)))
|
|
(calc-pop-push-list 1 (let ((tt (copy-sequence top)))
|
|
(setcdr (nthcdr (- (length tt) 2) tt) nil)
|
|
(list tt))))
|
|
((< nn 0)
|
|
(if (and calc-any-selections
|
|
(calc-top-selected 1 (- nn)))
|
|
(calc-delete-selection (- nn))
|
|
(calc-pop-stack 1 (- nn) t)))
|
|
((= nn 0)
|
|
(calc-pop-stack (calc-stack-size) 1 t))
|
|
(t
|
|
(if (and calc-any-selections
|
|
(= nn 1)
|
|
(calc-top-selected 1 1))
|
|
(calc-delete-selection 1)
|
|
(calc-pop-stack nn)))))))
|
|
|
|
|
|
|
|
|
|
;;;; Reading a number using the minibuffer.
|
|
(defvar calc-buffer)
|
|
(defvar calc-prev-char)
|
|
(defvar calc-prev-prev-char)
|
|
(defvar calc-digit-value)
|
|
(defun calcDigit-start ()
|
|
(interactive)
|
|
(calc-wrapper
|
|
(if (or calc-algebraic-mode
|
|
(and (> calc-number-radix 14) (eq last-command-char ?e)))
|
|
(calc-alg-digit-entry)
|
|
(calc-unread-command)
|
|
(setq calc-aborted-prefix nil)
|
|
(let* ((calc-digit-value nil)
|
|
(calc-prev-char nil)
|
|
(calc-prev-prev-char nil)
|
|
(calc-buffer (current-buffer))
|
|
(buf (if (featurep 'xemacs)
|
|
(catch 'calc-foo
|
|
(catch 'execute-kbd-macro
|
|
(throw 'calc-foo
|
|
(read-from-minibuffer
|
|
"Calc: " "" calc-digit-map)))
|
|
(error "XEmacs requires RET after %s"
|
|
"digit entry in kbd macro"))
|
|
(let ((old-esc (lookup-key global-map "\e")))
|
|
(unwind-protect
|
|
(progn
|
|
(define-key global-map "\e" nil)
|
|
(read-from-minibuffer "Calc: " "" calc-digit-map))
|
|
(define-key global-map "\e" old-esc))))))
|
|
(or calc-digit-value (setq calc-digit-value (math-read-number buf)))
|
|
(if (stringp calc-digit-value)
|
|
(calc-alg-entry calc-digit-value)
|
|
(if calc-digit-value
|
|
(calc-push-list (list (calc-record (calc-normalize
|
|
calc-digit-value))))))
|
|
(if (eq calc-prev-char 'dots)
|
|
(progn
|
|
(require 'calc-ext)
|
|
(calc-dots)))))))
|
|
|
|
(defsubst calc-minibuffer-size ()
|
|
(- (point-max) (minibuffer-prompt-end)))
|
|
|
|
(defun calcDigit-nondigit ()
|
|
(interactive)
|
|
;; Exercise for the reader: Figure out why this is a good precaution!
|
|
(or (boundp 'calc-buffer)
|
|
(use-local-map minibuffer-local-map))
|
|
(let ((str (minibuffer-contents)))
|
|
(setq calc-digit-value (save-excursion
|
|
(set-buffer calc-buffer)
|
|
(math-read-number str))))
|
|
(if (and (null calc-digit-value) (> (calc-minibuffer-size) 0))
|
|
(progn
|
|
(beep)
|
|
(calc-temp-minibuffer-message " [Bad format]"))
|
|
(or (memq last-command-char '(32 13))
|
|
(progn (setq prefix-arg current-prefix-arg)
|
|
(calc-unread-command (if (and (eq last-command-char 27)
|
|
(>= last-input-char 128))
|
|
last-input-char
|
|
nil))))
|
|
(exit-minibuffer)))
|
|
|
|
|
|
(defun calc-minibuffer-contains (rex)
|
|
(save-excursion
|
|
(goto-char (minibuffer-prompt-end))
|
|
(looking-at rex)))
|
|
|
|
(defun calcDigit-key ()
|
|
(interactive)
|
|
(goto-char (point-max))
|
|
(if (or (and (memq last-command-char '(?+ ?-))
|
|
(> (buffer-size) 0)
|
|
(/= (preceding-char) ?e))
|
|
(and (memq last-command-char '(?m ?s))
|
|
(not (calc-minibuffer-contains "[-+]?[0-9]+\\.?0*[@oh].*"))
|
|
(not (calc-minibuffer-contains "[-+]?\\(1[1-9]\\|[2-9][0-9]\\)#.*"))))
|
|
(calcDigit-nondigit)
|
|
(if (calc-minibuffer-contains "\\([-+]?\\|.* \\)\\'")
|
|
(cond ((memq last-command-char '(?. ?@)) (insert "0"))
|
|
((and (memq last-command-char '(?o ?h ?m))
|
|
(not (calc-minibuffer-contains ".*#.*"))) (insert "0"))
|
|
((memq last-command-char '(?: ?e)) (insert "1"))
|
|
((eq last-command-char ?#)
|
|
(insert (int-to-string calc-number-radix)))))
|
|
(if (and (calc-minibuffer-contains "\\([-+]?[0-9]+#\\|[^:]*:\\)\\'")
|
|
(eq last-command-char ?:))
|
|
(insert "1"))
|
|
(if (and (calc-minibuffer-contains "[-+]?[0-9]+#\\'")
|
|
(eq last-command-char ?.))
|
|
(insert "0"))
|
|
(if (and (calc-minibuffer-contains "[-+]?0*\\([2-9]\\|1[0-4]\\)#\\'")
|
|
(eq last-command-char ?e))
|
|
(insert "1"))
|
|
(if (or (and (memq last-command-char '(?h ?o ?m ?s ?p))
|
|
(calc-minibuffer-contains ".*#.*"))
|
|
(and (eq last-command-char ?e)
|
|
(calc-minibuffer-contains "[-+]?\\(1[5-9]\\|[2-9][0-9]\\)#.*"))
|
|
(and (eq last-command-char ?n)
|
|
(calc-minibuffer-contains "[-+]?\\(2[4-9]\\|[3-9][0-9]\\)#.*")))
|
|
(setq last-command-char (upcase last-command-char)))
|
|
(cond
|
|
((memq last-command-char '(?_ ?n))
|
|
(goto-char (minibuffer-prompt-end))
|
|
(if (and (search-forward " +/- " nil t)
|
|
(not (search-forward "e" nil t)))
|
|
(beep)
|
|
(and (not (calc-minibuffer-contains "[-+]?\\(1[5-9]\\|[2-9][0-9]\\)#.*"))
|
|
(search-forward "e" nil t))
|
|
(if (looking-at "+")
|
|
(delete-char 1))
|
|
(if (looking-at "-")
|
|
(delete-char 1)
|
|
(insert "-")))
|
|
(goto-char (point-max)))
|
|
((eq last-command-char ?p)
|
|
(if (or (calc-minibuffer-contains ".*\\+/-.*")
|
|
(calc-minibuffer-contains ".*mod.*")
|
|
(calc-minibuffer-contains ".*#.*")
|
|
(calc-minibuffer-contains ".*[-+e:]\\'"))
|
|
(beep)
|
|
(if (not (calc-minibuffer-contains ".* \\'"))
|
|
(insert " "))
|
|
(insert "+/- ")))
|
|
((and (eq last-command-char ?M)
|
|
(not (calc-minibuffer-contains
|
|
"[-+]?\\(2[3-9]\\|[3-9][0-9]\\)#.*")))
|
|
(if (or (calc-minibuffer-contains ".*\\+/-.*")
|
|
(calc-minibuffer-contains ".*mod *[^ ]+")
|
|
(calc-minibuffer-contains ".*[-+e:]\\'"))
|
|
(beep)
|
|
(if (calc-minibuffer-contains ".*mod \\'")
|
|
(if calc-previous-modulo
|
|
(insert (math-format-flat-expr calc-previous-modulo 0))
|
|
(beep))
|
|
(if (not (calc-minibuffer-contains ".* \\'"))
|
|
(insert " "))
|
|
(insert "mod "))))
|
|
(t
|
|
(insert (char-to-string last-command-char))
|
|
(if (or (and (calc-minibuffer-contains "[-+]?\\(.*\\+/- *\\|.*mod *\\)?\\([0-9][0-9]?\\)#[0-9a-zA-Z]*\\(:[0-9a-zA-Z]*\\(:[0-9a-zA-Z]*\\)?\\|.[0-9a-zA-Z]*\\(e[-+]?[0-9]*\\)?\\)?\\'")
|
|
(let ((radix (string-to-number
|
|
(buffer-substring
|
|
(match-beginning 2) (match-end 2)))))
|
|
(and (>= radix 2)
|
|
(<= radix 36)
|
|
(or (memq last-command-char '(?# ?: ?. ?e ?+ ?-))
|
|
(let ((dig (math-read-radix-digit
|
|
(upcase last-command-char))))
|
|
(and dig
|
|
(< dig radix)))))))
|
|
(calc-minibuffer-contains
|
|
"[-+]?\\(.*\\+/- *\\|.*mod *\\)?\\([0-9]+\\.?0*[@oh] *\\)?\\([0-9]+\\.?0*['m] *\\)?[0-9]*\\(\\.?[0-9]*\\(e[-+]?[0-3]?[0-9]?[0-9]?[0-9]?[0-9]?[0-9]?[0-9]?\\)?\\|[0-9]:\\([0-9]+:\\)?[0-9]*\\)?[\"s]?\\'"))
|
|
(if (and (memq last-command-char '(?@ ?o ?h ?\' ?m))
|
|
(string-match " " calc-hms-format))
|
|
(insert " "))
|
|
(if (and (eq this-command last-command)
|
|
(eq last-command-char ?.))
|
|
(progn
|
|
(require 'calc-ext)
|
|
(calc-digit-dots))
|
|
(delete-backward-char 1)
|
|
(beep)
|
|
(calc-temp-minibuffer-message " [Bad format]"))))))
|
|
(setq calc-prev-prev-char calc-prev-char
|
|
calc-prev-char last-command-char))
|
|
|
|
|
|
(defun calcDigit-backspace ()
|
|
(interactive)
|
|
(goto-char (point-max))
|
|
(cond ((calc-minibuffer-contains ".* \\+/- \\'")
|
|
(backward-delete-char 5))
|
|
((calc-minibuffer-contains ".* mod \\'")
|
|
(backward-delete-char 5))
|
|
((calc-minibuffer-contains ".* \\'")
|
|
(backward-delete-char 2))
|
|
((eq last-command 'calcDigit-start)
|
|
(erase-buffer))
|
|
(t (backward-delete-char 1)))
|
|
(if (= (calc-minibuffer-size) 0)
|
|
(progn
|
|
(setq last-command-char 13)
|
|
(calcDigit-nondigit))))
|
|
|
|
|
|
|
|
|
|
(defconst math-bignum-digit-length
|
|
(truncate (/ (log10 (/ most-positive-fixnum 2)) 2))
|
|
"The length of a \"digit\" in Calc bignums.
|
|
If a big integer is of the form (bigpos N0 N1 ...), this is the
|
|
length of the allowable Emacs integers N0, N1,...
|
|
The value of 2*10^(2*MATH-BIGNUM-DIGIT-LENGTH) must be less than the
|
|
largest Emacs integer.")
|
|
|
|
(defconst math-bignum-digit-size
|
|
(expt 10 math-bignum-digit-length)
|
|
"An upper bound for the size of the \"digit\"s in Calc bignums.")
|
|
|
|
(defconst math-small-integer-size
|
|
(expt math-bignum-digit-size 2)
|
|
"An upper bound for the size of \"small integer\"s in Calc.")
|
|
|
|
|
|
;;;; Arithmetic routines.
|
|
;;;
|
|
;;; An object as manipulated by one of these routines may take any of the
|
|
;;; following forms:
|
|
;;;
|
|
;;; integer An integer. For normalized numbers, this format
|
|
;;; is used only for
|
|
;;; negative math-small-integer-size + 1 to
|
|
;;; math-small-integer-size - 1
|
|
;;;
|
|
;;; (bigpos N0 N1 N2 ...) A big positive integer,
|
|
;;; N0 + N1*math-bignum-digit-size
|
|
;;; + N2*(math-bignum-digit-size)^2 ...
|
|
;;; (bigneg N0 N1 N2 ...) A big negative integer,
|
|
;;; - N0 - N1*math-bignum-digit-size ...
|
|
;;; Each digit N is in the range
|
|
;;; 0 ... math-bignum-digit-size -1.
|
|
;;; Normalized, always at least three N present,
|
|
;;; and the most significant N is nonzero.
|
|
;;;
|
|
;;; (frac NUM DEN) A fraction. NUM and DEN are small or big integers.
|
|
;;; Normalized, DEN > 1.
|
|
;;;
|
|
;;; (float NUM EXP) A floating-point number, NUM * 10^EXP;
|
|
;;; NUM is a small or big integer, EXP is a small int.
|
|
;;; Normalized, NUM is not a multiple of 10, and
|
|
;;; abs(NUM) < 10^calc-internal-prec.
|
|
;;; Normalized zero is stored as (float 0 0).
|
|
;;;
|
|
;;; (cplx REAL IMAG) A complex number; REAL and IMAG are any of above.
|
|
;;; Normalized, IMAG is nonzero.
|
|
;;;
|
|
;;; (polar R THETA) Polar complex number. Normalized, R > 0 and THETA
|
|
;;; is neither zero nor 180 degrees (pi radians).
|
|
;;;
|
|
;;; (vec A B C ...) Vector of objects A, B, C, ... A matrix is a
|
|
;;; vector of vectors.
|
|
;;;
|
|
;;; (hms H M S) Angle in hours-minutes-seconds form. All three
|
|
;;; components have the same sign; H and M must be
|
|
;;; numerically integers; M and S are expected to
|
|
;;; lie in the range [0,60).
|
|
;;;
|
|
;;; (date N) A date or date/time object. N is an integer to
|
|
;;; store a date only, or a fraction or float to
|
|
;;; store a date and time.
|
|
;;;
|
|
;;; (sdev X SIGMA) Error form, X +/- SIGMA. When normalized,
|
|
;;; SIGMA > 0. X is any complex number and SIGMA
|
|
;;; is real numbers; or these may be symbolic
|
|
;;; expressions where SIGMA is assumed real.
|
|
;;;
|
|
;;; (intv MASK LO HI) Interval form. MASK is 0=(), 1=(], 2=[), or 3=[].
|
|
;;; LO and HI are any real numbers, or symbolic
|
|
;;; expressions which are assumed real, and LO < HI.
|
|
;;; For [LO..HI], if LO = HI normalization produces LO,
|
|
;;; and if LO > HI normalization produces [LO..LO).
|
|
;;; For other intervals, if LO > HI normalization
|
|
;;; sets HI equal to LO.
|
|
;;;
|
|
;;; (mod N M) Number modulo M. When normalized, 0 <= N < M.
|
|
;;; N and M are real numbers.
|
|
;;;
|
|
;;; (var V S) Symbolic variable. V is a Lisp symbol which
|
|
;;; represents the variable's visible name. S is
|
|
;;; the symbol which actually stores the variable's
|
|
;;; value: (var pi var-pi).
|
|
;;;
|
|
;;; In general, combining rational numbers in a calculation always produces
|
|
;;; a rational result, but if either argument is a float, result is a float.
|
|
|
|
;;; In the following comments, [x y z] means result is x, args must be y, z,
|
|
;;; respectively, where the code letters are:
|
|
;;;
|
|
;;; O Normalized object (vector or number)
|
|
;;; V Normalized vector
|
|
;;; N Normalized number of any type
|
|
;;; N Normalized complex number
|
|
;;; R Normalized real number (float or rational)
|
|
;;; F Normalized floating-point number
|
|
;;; T Normalized rational number
|
|
;;; I Normalized integer
|
|
;;; B Normalized big integer
|
|
;;; S Normalized small integer
|
|
;;; D Digit (small integer, 0..999)
|
|
;;; L Normalized bignum digit list (without "bigpos" or "bigneg" symbol)
|
|
;;; or normalized vector element list (without "vec")
|
|
;;; P Predicate (truth value)
|
|
;;; X Any Lisp object
|
|
;;; Z "nil"
|
|
;;;
|
|
;;; Lower-case letters signify possibly un-normalized values.
|
|
;;; "L.D" means a cons of an L and a D.
|
|
;;; [N N; n n] means result will be normalized if argument is.
|
|
;;; Also, [Public] marks routines intended to be called from outside.
|
|
;;; [This notation has been neglected in many recent routines.]
|
|
|
|
(defvar math-eval-rules-cache)
|
|
(defvar math-eval-rules-cache-other)
|
|
;;; Reduce an object to canonical (normalized) form. [O o; Z Z] [Public]
|
|
|
|
(defvar math-normalize-a)
|
|
(defun math-normalize (math-normalize-a)
|
|
(cond
|
|
((not (consp math-normalize-a))
|
|
(if (integerp math-normalize-a)
|
|
(if (or (>= math-normalize-a math-small-integer-size)
|
|
(<= math-normalize-a (- math-small-integer-size)))
|
|
(math-bignum math-normalize-a)
|
|
math-normalize-a)
|
|
math-normalize-a))
|
|
((eq (car math-normalize-a) 'bigpos)
|
|
(if (eq (nth (1- (length math-normalize-a)) math-normalize-a) 0)
|
|
(let* ((last (setq math-normalize-a
|
|
(copy-sequence math-normalize-a))) (digs math-normalize-a))
|
|
(while (setq digs (cdr digs))
|
|
(or (eq (car digs) 0) (setq last digs)))
|
|
(setcdr last nil)))
|
|
(if (cdr (cdr (cdr math-normalize-a)))
|
|
math-normalize-a
|
|
(cond
|
|
((cdr (cdr math-normalize-a)) (+ (nth 1 math-normalize-a)
|
|
(* (nth 2 math-normalize-a)
|
|
math-bignum-digit-size)))
|
|
((cdr math-normalize-a) (nth 1 math-normalize-a))
|
|
(t 0))))
|
|
((eq (car math-normalize-a) 'bigneg)
|
|
(if (eq (nth (1- (length math-normalize-a)) math-normalize-a) 0)
|
|
(let* ((last (setq math-normalize-a (copy-sequence math-normalize-a)))
|
|
(digs math-normalize-a))
|
|
(while (setq digs (cdr digs))
|
|
(or (eq (car digs) 0) (setq last digs)))
|
|
(setcdr last nil)))
|
|
(if (cdr (cdr (cdr math-normalize-a)))
|
|
math-normalize-a
|
|
(cond
|
|
((cdr (cdr math-normalize-a)) (- (+ (nth 1 math-normalize-a)
|
|
(* (nth 2 math-normalize-a)
|
|
math-bignum-digit-size))))
|
|
((cdr math-normalize-a) (- (nth 1 math-normalize-a)))
|
|
(t 0))))
|
|
((eq (car math-normalize-a) 'float)
|
|
(math-make-float (math-normalize (nth 1 math-normalize-a))
|
|
(nth 2 math-normalize-a)))
|
|
((or (memq (car math-normalize-a)
|
|
'(frac cplx polar hms date mod sdev intv vec var quote
|
|
special-const calcFunc-if calcFunc-lambda
|
|
calcFunc-quote calcFunc-condition
|
|
calcFunc-evalto))
|
|
(integerp (car math-normalize-a))
|
|
(and (consp (car math-normalize-a))
|
|
(not (eq (car (car math-normalize-a)) 'lambda))))
|
|
(require 'calc-ext)
|
|
(math-normalize-fancy math-normalize-a))
|
|
(t
|
|
(or (and calc-simplify-mode
|
|
(require 'calc-ext)
|
|
(math-normalize-nonstandard))
|
|
(let ((args (mapcar 'math-normalize (cdr math-normalize-a))))
|
|
(or (condition-case err
|
|
(let ((func
|
|
(assq (car math-normalize-a) '( ( + . math-add )
|
|
( - . math-sub )
|
|
( * . math-mul )
|
|
( / . math-div )
|
|
( % . math-mod )
|
|
( ^ . math-pow )
|
|
( neg . math-neg )
|
|
( | . math-concat ) ))))
|
|
(or (and var-EvalRules
|
|
(progn
|
|
(or (eq var-EvalRules math-eval-rules-cache-tag)
|
|
(progn
|
|
(require 'calc-ext)
|
|
(math-recompile-eval-rules)))
|
|
(and (or math-eval-rules-cache-other
|
|
(assq (car math-normalize-a)
|
|
math-eval-rules-cache))
|
|
(math-apply-rewrites
|
|
(cons (car math-normalize-a) args)
|
|
(cdr math-eval-rules-cache)
|
|
nil math-eval-rules-cache))))
|
|
(if func
|
|
(apply (cdr func) args)
|
|
(and (or (consp (car math-normalize-a))
|
|
(fboundp (car math-normalize-a))
|
|
(and (not (featurep 'calc-ext))
|
|
(require 'calc-ext)
|
|
(fboundp (car math-normalize-a))))
|
|
(apply (car math-normalize-a) args)))))
|
|
(wrong-number-of-arguments
|
|
(calc-record-why "*Wrong number of arguments"
|
|
(cons (car math-normalize-a) args))
|
|
nil)
|
|
(wrong-type-argument
|
|
(or calc-next-why
|
|
(calc-record-why "Wrong type of argument"
|
|
(cons (car math-normalize-a) args)))
|
|
nil)
|
|
(args-out-of-range
|
|
(calc-record-why "*Argument out of range"
|
|
(cons (car math-normalize-a) args))
|
|
nil)
|
|
(inexact-result
|
|
(calc-record-why "No exact representation for result"
|
|
(cons (car math-normalize-a) args))
|
|
nil)
|
|
(math-overflow
|
|
(calc-record-why "*Floating-point overflow occurred"
|
|
(cons (car math-normalize-a) args))
|
|
nil)
|
|
(math-underflow
|
|
(calc-record-why "*Floating-point underflow occurred"
|
|
(cons (car math-normalize-a) args))
|
|
nil)
|
|
(void-variable
|
|
(if (eq (nth 1 err) 'var-EvalRules)
|
|
(progn
|
|
(setq var-EvalRules nil)
|
|
(math-normalize (cons (car math-normalize-a) args)))
|
|
(calc-record-why "*Variable is void" (nth 1 err)))))
|
|
(if (consp (car math-normalize-a))
|
|
(math-dimension-error)
|
|
(cons (car math-normalize-a) args))))))))
|
|
|
|
|
|
|
|
;;; True if A is a floating-point real or complex number. [P x] [Public]
|
|
(defun math-floatp (a)
|
|
(cond ((eq (car-safe a) 'float) t)
|
|
((memq (car-safe a) '(cplx polar mod sdev intv))
|
|
(or (math-floatp (nth 1 a))
|
|
(math-floatp (nth 2 a))
|
|
(and (eq (car a) 'intv) (math-floatp (nth 3 a)))))
|
|
((eq (car-safe a) 'date)
|
|
(math-floatp (nth 1 a)))))
|
|
|
|
|
|
|
|
;;; Verify that A is a complete object and return A. [x x] [Public]
|
|
(defun math-check-complete (a)
|
|
(cond ((integerp a) a)
|
|
((eq (car-safe a) 'incomplete)
|
|
(calc-incomplete-error a))
|
|
((consp a) a)
|
|
(t (error "Invalid data object encountered"))))
|
|
|
|
|
|
|
|
;;; Coerce integer A to be a bignum. [B S]
|
|
(defun math-bignum (a)
|
|
(if (>= a 0)
|
|
(cons 'bigpos (math-bignum-big a))
|
|
(cons 'bigneg (math-bignum-big (- a)))))
|
|
|
|
(defun math-bignum-big (a) ; [L s]
|
|
(if (= a 0)
|
|
nil
|
|
(cons (% a math-bignum-digit-size)
|
|
(math-bignum-big (/ a math-bignum-digit-size)))))
|
|
|
|
|
|
;;; Build a normalized floating-point number. [F I S]
|
|
(defun math-make-float (mant exp)
|
|
(if (eq mant 0)
|
|
'(float 0 0)
|
|
(let* ((ldiff (- calc-internal-prec (math-numdigs mant))))
|
|
(if (< ldiff 0)
|
|
(setq mant (math-scale-rounding mant ldiff)
|
|
exp (- exp ldiff))))
|
|
(if (consp mant)
|
|
(let ((digs (cdr mant)))
|
|
(if (= (% (car digs) 10) 0)
|
|
(progn
|
|
(while (= (car digs) 0)
|
|
(setq digs (cdr digs)
|
|
exp (+ exp math-bignum-digit-length)))
|
|
(while (= (% (car digs) 10) 0)
|
|
(setq digs (math-div10-bignum digs)
|
|
exp (1+ exp)))
|
|
(setq mant (math-normalize (cons (car mant) digs))))))
|
|
(while (= (% mant 10) 0)
|
|
(setq mant (/ mant 10)
|
|
exp (1+ exp))))
|
|
(if (and (<= exp -4000000)
|
|
(<= (+ exp (math-numdigs mant) -1) -4000000))
|
|
(signal 'math-underflow nil)
|
|
(if (and (>= exp 3000000)
|
|
(>= (+ exp (math-numdigs mant) -1) 4000000))
|
|
(signal 'math-overflow nil)
|
|
(list 'float mant exp)))))
|
|
|
|
(defun math-div10-bignum (a) ; [l l]
|
|
(if (cdr a)
|
|
(cons (+ (/ (car a) 10) (* (% (nth 1 a) 10)
|
|
(expt 10 (1- math-bignum-digit-length))))
|
|
(math-div10-bignum (cdr a)))
|
|
(list (/ (car a) 10))))
|
|
|
|
;;; Coerce A to be a float. [F N; V V] [Public]
|
|
(defun math-float (a)
|
|
(cond ((Math-integerp a) (math-make-float a 0))
|
|
((eq (car a) 'frac) (math-div (math-float (nth 1 a)) (nth 2 a)))
|
|
((eq (car a) 'float) a)
|
|
((memq (car a) '(cplx polar vec hms date sdev mod))
|
|
(cons (car a) (mapcar 'math-float (cdr a))))
|
|
(t (math-float-fancy a))))
|
|
|
|
|
|
(defun math-neg (a)
|
|
(cond ((not (consp a)) (- a))
|
|
((eq (car a) 'bigpos) (cons 'bigneg (cdr a)))
|
|
((eq (car a) 'bigneg) (cons 'bigpos (cdr a)))
|
|
((memq (car a) '(frac float))
|
|
(list (car a) (Math-integer-neg (nth 1 a)) (nth 2 a)))
|
|
((memq (car a) '(cplx vec hms date calcFunc-idn))
|
|
(cons (car a) (mapcar 'math-neg (cdr a))))
|
|
(t (math-neg-fancy a))))
|
|
|
|
|
|
;;; Compute the number of decimal digits in integer A. [S I]
|
|
(defun math-numdigs (a)
|
|
(if (consp a)
|
|
(if (cdr a)
|
|
(let* ((len (1- (length a)))
|
|
(top (nth len a)))
|
|
(+ (* (1- len) math-bignum-digit-length) (math-numdigs top)))
|
|
0)
|
|
(cond ((>= a 100) (+ (math-numdigs (/ a 1000)) 3))
|
|
((>= a 10) 2)
|
|
((>= a 1) 1)
|
|
((= a 0) 0)
|
|
((> a -10) 1)
|
|
((> a -100) 2)
|
|
(t (math-numdigs (- a))))))
|
|
|
|
;;; Multiply (with truncation toward 0) the integer A by 10^N. [I i S]
|
|
(defun math-scale-int (a n)
|
|
(cond ((= n 0) a)
|
|
((> n 0) (math-scale-left a n))
|
|
(t (math-normalize (math-scale-right a (- n))))))
|
|
|
|
(defun math-scale-left (a n) ; [I I S]
|
|
(if (= n 0)
|
|
a
|
|
(if (consp a)
|
|
(cons (car a) (math-scale-left-bignum (cdr a) n))
|
|
(if (>= n math-bignum-digit-length)
|
|
(if (or (>= a math-bignum-digit-size)
|
|
(<= a (- math-bignum-digit-size)))
|
|
(math-scale-left (math-bignum a) n)
|
|
(math-scale-left (* a math-bignum-digit-size)
|
|
(- n math-bignum-digit-length)))
|
|
(let ((sz (expt 10 (- (* 2 math-bignum-digit-length) n))))
|
|
(if (or (>= a sz) (<= a (- sz)))
|
|
(math-scale-left (math-bignum a) n)
|
|
(* a (expt 10 n))))))))
|
|
|
|
(defun math-scale-left-bignum (a n)
|
|
(if (>= n math-bignum-digit-length)
|
|
(while (>= (setq a (cons 0 a)
|
|
n (- n math-bignum-digit-length))
|
|
math-bignum-digit-length)))
|
|
(if (> n 0)
|
|
(math-mul-bignum-digit a (expt 10 n) 0)
|
|
a))
|
|
|
|
(defun math-scale-right (a n) ; [i i S]
|
|
(if (= n 0)
|
|
a
|
|
(if (consp a)
|
|
(cons (car a) (math-scale-right-bignum (cdr a) n))
|
|
(if (<= a 0)
|
|
(if (= a 0)
|
|
0
|
|
(- (math-scale-right (- a) n)))
|
|
(if (>= n math-bignum-digit-length)
|
|
(while (and (> (setq a (/ a math-bignum-digit-size)) 0)
|
|
(>= (setq n (- n math-bignum-digit-length))
|
|
math-bignum-digit-length))))
|
|
(if (> n 0)
|
|
(/ a (expt 10 n))
|
|
a)))))
|
|
|
|
(defun math-scale-right-bignum (a n) ; [L L S; l l S]
|
|
(if (>= n math-bignum-digit-length)
|
|
(setq a (nthcdr (/ n math-bignum-digit-length) a)
|
|
n (% n math-bignum-digit-length)))
|
|
(if (> n 0)
|
|
(cdr (math-mul-bignum-digit a (expt 10 (- math-bignum-digit-length n)) 0))
|
|
a))
|
|
|
|
;;; Multiply (with rounding) the integer A by 10^N. [I i S]
|
|
(defun math-scale-rounding (a n)
|
|
(cond ((>= n 0)
|
|
(math-scale-left a n))
|
|
((consp a)
|
|
(math-normalize
|
|
(cons (car a)
|
|
(let ((val (if (< n (- math-bignum-digit-length))
|
|
(math-scale-right-bignum
|
|
(cdr a)
|
|
(- (- math-bignum-digit-length) n))
|
|
(if (< n 0)
|
|
(math-mul-bignum-digit
|
|
(cdr a)
|
|
(expt 10 (+ math-bignum-digit-length n)) 0)
|
|
(cdr a))))) ; n = -math-bignum-digit-length
|
|
(if (and val (>= (car val) (/ math-bignum-digit-size 2)))
|
|
(if (cdr val)
|
|
(if (eq (car (cdr val)) (1- math-bignum-digit-size))
|
|
(math-add-bignum (cdr val) '(1))
|
|
(cons (1+ (car (cdr val))) (cdr (cdr val))))
|
|
'(1))
|
|
(cdr val))))))
|
|
(t
|
|
(if (< a 0)
|
|
(- (math-scale-rounding (- a) n))
|
|
(if (= n -1)
|
|
(/ (+ a 5) 10)
|
|
(/ (+ (math-scale-right a (- -1 n)) 5) 10))))))
|
|
|
|
|
|
;;; Compute the sum of A and B. [O O O] [Public]
|
|
(defun math-add (a b)
|
|
(or
|
|
(and (not (or (consp a) (consp b)))
|
|
(progn
|
|
(setq a (+ a b))
|
|
(if (or (<= a (- math-small-integer-size)) (>= a math-small-integer-size))
|
|
(math-bignum a)
|
|
a)))
|
|
(and (Math-zerop a) (not (eq (car-safe a) 'mod))
|
|
(if (and (math-floatp a) (Math-ratp b)) (math-float b) b))
|
|
(and (Math-zerop b) (not (eq (car-safe b) 'mod))
|
|
(if (and (math-floatp b) (Math-ratp a)) (math-float a) a))
|
|
(and (Math-objvecp a) (Math-objvecp b)
|
|
(or
|
|
(and (Math-integerp a) (Math-integerp b)
|
|
(progn
|
|
(or (consp a) (setq a (math-bignum a)))
|
|
(or (consp b) (setq b (math-bignum b)))
|
|
(if (eq (car a) 'bigneg)
|
|
(if (eq (car b) 'bigneg)
|
|
(cons 'bigneg (math-add-bignum (cdr a) (cdr b)))
|
|
(math-normalize
|
|
(let ((diff (math-sub-bignum (cdr b) (cdr a))))
|
|
(if (eq diff 'neg)
|
|
(cons 'bigneg (math-sub-bignum (cdr a) (cdr b)))
|
|
(cons 'bigpos diff)))))
|
|
(if (eq (car b) 'bigneg)
|
|
(math-normalize
|
|
(let ((diff (math-sub-bignum (cdr a) (cdr b))))
|
|
(if (eq diff 'neg)
|
|
(cons 'bigneg (math-sub-bignum (cdr b) (cdr a)))
|
|
(cons 'bigpos diff))))
|
|
(cons 'bigpos (math-add-bignum (cdr a) (cdr b)))))))
|
|
(and (Math-ratp a) (Math-ratp b)
|
|
(require 'calc-ext)
|
|
(calc-add-fractions a b))
|
|
(and (Math-realp a) (Math-realp b)
|
|
(progn
|
|
(or (and (consp a) (eq (car a) 'float))
|
|
(setq a (math-float a)))
|
|
(or (and (consp b) (eq (car b) 'float))
|
|
(setq b (math-float b)))
|
|
(math-add-float a b)))
|
|
(and (require 'calc-ext)
|
|
(math-add-objects-fancy a b))))
|
|
(and (require 'calc-ext)
|
|
(math-add-symb-fancy a b))))
|
|
|
|
(defun math-add-bignum (a b) ; [L L L; l l l]
|
|
(if a
|
|
(if b
|
|
(let* ((a (copy-sequence a)) (aa a) (carry nil) sum)
|
|
(while (and aa b)
|
|
(if carry
|
|
(if (< (setq sum (+ (car aa) (car b)))
|
|
(1- math-bignum-digit-size))
|
|
(progn
|
|
(setcar aa (1+ sum))
|
|
(setq carry nil))
|
|
(setcar aa (- sum (1- math-bignum-digit-size))))
|
|
(if (< (setq sum (+ (car aa) (car b))) math-bignum-digit-size)
|
|
(setcar aa sum)
|
|
(setcar aa (- sum math-bignum-digit-size))
|
|
(setq carry t)))
|
|
(setq aa (cdr aa)
|
|
b (cdr b)))
|
|
(if carry
|
|
(if b
|
|
(nconc a (math-add-bignum b '(1)))
|
|
(while (eq (car aa) (1- math-bignum-digit-size))
|
|
(setcar aa 0)
|
|
(setq aa (cdr aa)))
|
|
(if aa
|
|
(progn
|
|
(setcar aa (1+ (car aa)))
|
|
a)
|
|
(nconc a '(1))))
|
|
(if b
|
|
(nconc a b)
|
|
a)))
|
|
a)
|
|
b))
|
|
|
|
(defun math-sub-bignum (a b) ; [l l l]
|
|
(if b
|
|
(if a
|
|
(let* ((a (copy-sequence a)) (aa a) (borrow nil) sum diff)
|
|
(while (and aa b)
|
|
(if borrow
|
|
(if (>= (setq diff (- (car aa) (car b))) 1)
|
|
(progn
|
|
(setcar aa (1- diff))
|
|
(setq borrow nil))
|
|
(setcar aa (+ diff (1- math-bignum-digit-size))))
|
|
(if (>= (setq diff (- (car aa) (car b))) 0)
|
|
(setcar aa diff)
|
|
(setcar aa (+ diff math-bignum-digit-size))
|
|
(setq borrow t)))
|
|
(setq aa (cdr aa)
|
|
b (cdr b)))
|
|
(if borrow
|
|
(progn
|
|
(while (eq (car aa) 0)
|
|
(setcar aa (1- math-bignum-digit-size))
|
|
(setq aa (cdr aa)))
|
|
(if aa
|
|
(progn
|
|
(setcar aa (1- (car aa)))
|
|
a)
|
|
'neg))
|
|
(while (eq (car b) 0)
|
|
(setq b (cdr b)))
|
|
(if b
|
|
'neg
|
|
a)))
|
|
(while (eq (car b) 0)
|
|
(setq b (cdr b)))
|
|
(and b
|
|
'neg))
|
|
a))
|
|
|
|
(defun math-add-float (a b) ; [F F F]
|
|
(let ((ediff (- (nth 2 a) (nth 2 b))))
|
|
(if (>= ediff 0)
|
|
(if (>= ediff (+ calc-internal-prec calc-internal-prec))
|
|
a
|
|
(math-make-float (math-add (nth 1 b)
|
|
(if (eq ediff 0)
|
|
(nth 1 a)
|
|
(math-scale-left (nth 1 a) ediff)))
|
|
(nth 2 b)))
|
|
(if (>= (setq ediff (- ediff))
|
|
(+ calc-internal-prec calc-internal-prec))
|
|
b
|
|
(math-make-float (math-add (nth 1 a)
|
|
(math-scale-left (nth 1 b) ediff))
|
|
(nth 2 a))))))
|
|
|
|
;;; Compute the difference of A and B. [O O O] [Public]
|
|
(defun math-sub (a b)
|
|
(if (or (consp a) (consp b))
|
|
(math-add a (math-neg b))
|
|
(setq a (- a b))
|
|
(if (or (<= a (- math-small-integer-size)) (>= a math-small-integer-size))
|
|
(math-bignum a)
|
|
a)))
|
|
|
|
(defun math-sub-float (a b) ; [F F F]
|
|
(let ((ediff (- (nth 2 a) (nth 2 b))))
|
|
(if (>= ediff 0)
|
|
(if (>= ediff (+ calc-internal-prec calc-internal-prec))
|
|
a
|
|
(math-make-float (math-add (Math-integer-neg (nth 1 b))
|
|
(if (eq ediff 0)
|
|
(nth 1 a)
|
|
(math-scale-left (nth 1 a) ediff)))
|
|
(nth 2 b)))
|
|
(if (>= (setq ediff (- ediff))
|
|
(+ calc-internal-prec calc-internal-prec))
|
|
b
|
|
(math-make-float (math-add (nth 1 a)
|
|
(Math-integer-neg
|
|
(math-scale-left (nth 1 b) ediff)))
|
|
(nth 2 a))))))
|
|
|
|
|
|
;;; Compute the product of A and B. [O O O] [Public]
|
|
(defun math-mul (a b)
|
|
(or
|
|
(and (not (consp a)) (not (consp b))
|
|
(< a math-bignum-digit-size) (> a (- math-bignum-digit-size))
|
|
(< b math-bignum-digit-size) (> b (- math-bignum-digit-size))
|
|
(* a b))
|
|
(and (Math-zerop a) (not (eq (car-safe b) 'mod))
|
|
(if (Math-scalarp b)
|
|
(if (and (math-floatp b) (Math-ratp a)) (math-float a) a)
|
|
(require 'calc-ext)
|
|
(math-mul-zero a b)))
|
|
(and (Math-zerop b) (not (eq (car-safe a) 'mod))
|
|
(if (Math-scalarp a)
|
|
(if (and (math-floatp a) (Math-ratp b)) (math-float b) b)
|
|
(require 'calc-ext)
|
|
(math-mul-zero b a)))
|
|
(and (Math-objvecp a) (Math-objvecp b)
|
|
(or
|
|
(and (Math-integerp a) (Math-integerp b)
|
|
(progn
|
|
(or (consp a) (setq a (math-bignum a)))
|
|
(or (consp b) (setq b (math-bignum b)))
|
|
(math-normalize
|
|
(cons (if (eq (car a) (car b)) 'bigpos 'bigneg)
|
|
(if (cdr (cdr a))
|
|
(if (cdr (cdr b))
|
|
(math-mul-bignum (cdr a) (cdr b))
|
|
(math-mul-bignum-digit (cdr a) (nth 1 b) 0))
|
|
(math-mul-bignum-digit (cdr b) (nth 1 a) 0))))))
|
|
(and (Math-ratp a) (Math-ratp b)
|
|
(require 'calc-ext)
|
|
(calc-mul-fractions a b))
|
|
(and (Math-realp a) (Math-realp b)
|
|
(progn
|
|
(or (and (consp a) (eq (car a) 'float))
|
|
(setq a (math-float a)))
|
|
(or (and (consp b) (eq (car b) 'float))
|
|
(setq b (math-float b)))
|
|
(math-make-float (math-mul (nth 1 a) (nth 1 b))
|
|
(+ (nth 2 a) (nth 2 b)))))
|
|
(and (require 'calc-ext)
|
|
(math-mul-objects-fancy a b))))
|
|
(and (require 'calc-ext)
|
|
(math-mul-symb-fancy a b))))
|
|
|
|
(defun math-infinitep (a &optional undir)
|
|
(while (and (consp a) (memq (car a) '(* / neg)))
|
|
(if (or (not (eq (car a) '*)) (math-infinitep (nth 1 a)))
|
|
(setq a (nth 1 a))
|
|
(setq a (nth 2 a))))
|
|
(and (consp a)
|
|
(eq (car a) 'var)
|
|
(memq (nth 2 a) '(var-inf var-uinf var-nan))
|
|
(if (and undir (eq (nth 2 a) 'var-inf))
|
|
'(var uinf var-uinf)
|
|
a)))
|
|
|
|
;;; Multiply digit lists A and B. [L L L; l l l]
|
|
(defun math-mul-bignum (a b)
|
|
(and a b
|
|
(let* ((sum (if (<= (car b) 1)
|
|
(if (= (car b) 0)
|
|
(list 0)
|
|
(copy-sequence a))
|
|
(math-mul-bignum-digit a (car b) 0)))
|
|
(sump sum) c d aa ss prod)
|
|
(while (setq b (cdr b))
|
|
(setq ss (setq sump (or (cdr sump) (setcdr sump (list 0))))
|
|
d (car b)
|
|
c 0
|
|
aa a)
|
|
(while (progn
|
|
(setcar ss (% (setq prod (+ (+ (car ss) (* (car aa) d))
|
|
c)) math-bignum-digit-size))
|
|
(setq aa (cdr aa)))
|
|
(setq c (/ prod math-bignum-digit-size)
|
|
ss (or (cdr ss) (setcdr ss (list 0)))))
|
|
(if (>= prod math-bignum-digit-size)
|
|
(if (cdr ss)
|
|
(setcar (cdr ss) (+ (/ prod math-bignum-digit-size) (car (cdr ss))))
|
|
(setcdr ss (list (/ prod math-bignum-digit-size))))))
|
|
sum)))
|
|
|
|
;;; Multiply digit list A by digit D. [L L D D; l l D D]
|
|
(defun math-mul-bignum-digit (a d c)
|
|
(if a
|
|
(if (<= d 1)
|
|
(and (= d 1) a)
|
|
(let* ((a (copy-sequence a)) (aa a) prod)
|
|
(while (progn
|
|
(setcar aa
|
|
(% (setq prod (+ (* (car aa) d) c))
|
|
math-bignum-digit-size))
|
|
(cdr aa))
|
|
(setq aa (cdr aa)
|
|
c (/ prod math-bignum-digit-size)))
|
|
(if (>= prod math-bignum-digit-size)
|
|
(setcdr aa (list (/ prod math-bignum-digit-size))))
|
|
a))
|
|
(and (> c 0)
|
|
(list c))))
|
|
|
|
|
|
;;; Compute the integer (quotient . remainder) of A and B, which may be
|
|
;;; small or big integers. Type and consistency of truncation is undefined
|
|
;;; if A or B is negative. B must be nonzero. [I.I I I] [Public]
|
|
(defun math-idivmod (a b)
|
|
(if (eq b 0)
|
|
(math-reject-arg a "*Division by zero"))
|
|
(if (or (consp a) (consp b))
|
|
(if (and (natnump b) (< b math-bignum-digit-size))
|
|
(let ((res (math-div-bignum-digit (cdr a) b)))
|
|
(cons
|
|
(math-normalize (cons (car a) (car res)))
|
|
(cdr res)))
|
|
(or (consp a) (setq a (math-bignum a)))
|
|
(or (consp b) (setq b (math-bignum b)))
|
|
(let ((res (math-div-bignum (cdr a) (cdr b))))
|
|
(cons
|
|
(math-normalize (cons (if (eq (car a) (car b)) 'bigpos 'bigneg)
|
|
(car res)))
|
|
(math-normalize (cons (car a) (cdr res))))))
|
|
(cons (/ a b) (% a b))))
|
|
|
|
(defun math-quotient (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))
|
|
(if (and (natnump b) (< b math-bignum-digit-size))
|
|
(if (= b 0)
|
|
(math-reject-arg a "*Division by zero")
|
|
(math-normalize (cons (car a)
|
|
(car (math-div-bignum-digit (cdr a) b)))))
|
|
(or (consp a) (setq a (math-bignum a)))
|
|
(or (consp b) (setq b (math-bignum b)))
|
|
(let* ((alen (1- (length a)))
|
|
(blen (1- (length b)))
|
|
(d (/ math-bignum-digit-size (1+ (nth (1- blen) (cdr b)))))
|
|
(res (math-div-bignum-big (math-mul-bignum-digit (cdr a) d 0)
|
|
(math-mul-bignum-digit (cdr b) d 0)
|
|
alen blen)))
|
|
(math-normalize (cons (if (eq (car a) (car b)) 'bigpos 'bigneg)
|
|
(car res)))))))
|
|
|
|
|
|
;;; Divide a bignum digit list by another. [l.l l L]
|
|
;;; The following division algorithm is borrowed from Knuth vol. II, sec. 4.3.1
|
|
(defun math-div-bignum (a b)
|
|
(if (cdr b)
|
|
(let* ((alen (length a))
|
|
(blen (length b))
|
|
(d (/ math-bignum-digit-size (1+ (nth (1- blen) b))))
|
|
(res (math-div-bignum-big (math-mul-bignum-digit a d 0)
|
|
(math-mul-bignum-digit b d 0)
|
|
alen blen)))
|
|
(if (= d 1)
|
|
res
|
|
(cons (car res)
|
|
(car (math-div-bignum-digit (cdr res) d)))))
|
|
(let ((res (math-div-bignum-digit a (car b))))
|
|
(cons (car res) (list (cdr res))))))
|
|
|
|
;;; Divide a bignum digit list by a digit. [l.D l D]
|
|
(defun math-div-bignum-digit (a b)
|
|
(if a
|
|
(let* ((res (math-div-bignum-digit (cdr a) b))
|
|
(num (+ (* (cdr res) math-bignum-digit-size) (car a))))
|
|
(cons
|
|
(cons (/ num b) (car res))
|
|
(% num b)))
|
|
'(nil . 0)))
|
|
|
|
(defun math-div-bignum-big (a b alen blen) ; [l.l l L]
|
|
(if (< alen blen)
|
|
(cons nil a)
|
|
(let* ((res (math-div-bignum-big (cdr a) b (1- alen) blen))
|
|
(num (cons (car a) (cdr res)))
|
|
(res2 (math-div-bignum-part num b blen)))
|
|
(cons
|
|
(cons (car res2) (car res))
|
|
(cdr res2)))))
|
|
|
|
(defun math-div-bignum-part (a b blen) ; a < b*math-bignum-digit-size [D.l l L]
|
|
(let* ((num (+ (* (or (nth blen a) 0) math-bignum-digit-size)
|
|
(or (nth (1- blen) a) 0)))
|
|
(den (nth (1- blen) b))
|
|
(guess (min (/ num den) (1- math-bignum-digit-size))))
|
|
(math-div-bignum-try a b (math-mul-bignum-digit b guess 0) guess)))
|
|
|
|
(defun math-div-bignum-try (a b c guess) ; [D.l l l D]
|
|
(let ((rem (math-sub-bignum a c)))
|
|
(if (eq rem 'neg)
|
|
(math-div-bignum-try a b (math-sub-bignum c b) (1- guess))
|
|
(cons guess rem))))
|
|
|
|
|
|
;;; Compute the quotient of A and B. [O O N] [Public]
|
|
(defun math-div (a b)
|
|
(or
|
|
(and (Math-zerop b)
|
|
(require 'calc-ext)
|
|
(math-div-by-zero a b))
|
|
(and (Math-zerop a) (not (eq (car-safe b) 'mod))
|
|
(if (Math-scalarp b)
|
|
(if (and (math-floatp b) (Math-ratp a)) (math-float a) a)
|
|
(require 'calc-ext)
|
|
(math-div-zero a b)))
|
|
(and (Math-objvecp a) (Math-objvecp b)
|
|
(or
|
|
(and (Math-integerp a) (Math-integerp b)
|
|
(let ((q (math-idivmod a b)))
|
|
(if (eq (cdr q) 0)
|
|
(car q)
|
|
(if calc-prefer-frac
|
|
(progn
|
|
(require 'calc-ext)
|
|
(math-make-frac a b))
|
|
(math-div-float (math-make-float a 0)
|
|
(math-make-float b 0))))))
|
|
(and (Math-ratp a) (Math-ratp b)
|
|
(require 'calc-ext)
|
|
(calc-div-fractions a b))
|
|
(and (Math-realp a) (Math-realp b)
|
|
(progn
|
|
(or (and (consp a) (eq (car a) 'float))
|
|
(setq a (math-float a)))
|
|
(or (and (consp b) (eq (car b) 'float))
|
|
(setq b (math-float b)))
|
|
(math-div-float a b)))
|
|
(and (require 'calc-ext)
|
|
(math-div-objects-fancy a b))))
|
|
(and (require 'calc-ext)
|
|
(math-div-symb-fancy a b))))
|
|
|
|
(defun math-div-float (a b) ; [F F F]
|
|
(let ((ldiff (max (- (1+ calc-internal-prec)
|
|
(- (math-numdigs (nth 1 a)) (math-numdigs (nth 1 b))))
|
|
0)))
|
|
(math-make-float (math-quotient (math-scale-int (nth 1 a) ldiff) (nth 1 b))
|
|
(- (- (nth 2 a) (nth 2 b)) ldiff))))
|
|
|
|
|
|
|
|
|
|
(defvar calc-selection-cache-entry)
|
|
;;; Format the number A as a string. [X N; X Z] [Public]
|
|
(defun math-format-stack-value (entry)
|
|
(setq calc-selection-cache-entry calc-selection-cache-default-entry)
|
|
(let* ((a (car entry))
|
|
(math-comp-selected (nth 2 entry))
|
|
(c (cond ((null a) "<nil>")
|
|
((eq calc-display-raw t) (format "%s" a))
|
|
((stringp a) a)
|
|
((eq a 'top-of-stack) (propertize "." 'font-lock-face 'bold))
|
|
(calc-prepared-composition
|
|
calc-prepared-composition)
|
|
((and (Math-scalarp a)
|
|
(memq calc-language '(nil flat unform))
|
|
(null math-comp-selected))
|
|
(math-format-number a))
|
|
(t (require 'calc-ext)
|
|
(math-compose-expr a 0))))
|
|
(off (math-stack-value-offset c))
|
|
s w)
|
|
(and math-comp-selected (setq calc-any-selections t))
|
|
(setq w (cdr off)
|
|
off (car off))
|
|
(when (> off 0)
|
|
(setq c (math-comp-concat (make-string off ?\s) c)))
|
|
(or (equal calc-left-label "")
|
|
(setq c (math-comp-concat (if (eq a 'top-of-stack)
|
|
(make-string (length calc-left-label) ?\s)
|
|
calc-left-label)
|
|
c)))
|
|
(when calc-line-numbering
|
|
(setq c (math-comp-concat (if (eq calc-language 'big)
|
|
(if math-comp-selected
|
|
'(tag t "1: ")
|
|
"1: ")
|
|
" ")
|
|
c)))
|
|
(unless (or (equal calc-right-label "")
|
|
(eq a 'top-of-stack))
|
|
(require 'calc-ext)
|
|
(setq c (list 'horiz c
|
|
(make-string (max (- w (math-comp-width c)
|
|
(length calc-right-label)) 0) ?\s)
|
|
'(break -1)
|
|
calc-right-label)))
|
|
(setq s (if (stringp c)
|
|
(if calc-display-raw
|
|
(prin1-to-string c)
|
|
c)
|
|
(math-composition-to-string c w)))
|
|
(when calc-language-output-filter
|
|
(setq s (funcall calc-language-output-filter s)))
|
|
(if (eq calc-language 'big)
|
|
(setq s (concat s "\n"))
|
|
(when calc-line-numbering
|
|
(setq s (concat "1:" (substring s 2)))))
|
|
(setcar (cdr entry) (calc-count-lines s))
|
|
s))
|
|
|
|
;; The variables math-svo-c, math-svo-wid and math-svo-off are local
|
|
;; to math-stack-value-offset, but are used by math-stack-value-offset-fancy
|
|
;; in calccomp.el.
|
|
|
|
(defun math-stack-value-offset (math-svo-c)
|
|
(let* ((num (if calc-line-numbering 4 0))
|
|
(math-svo-wid (calc-window-width))
|
|
math-svo-off)
|
|
(if calc-display-just
|
|
(progn
|
|
(require 'calc-ext)
|
|
(math-stack-value-offset-fancy))
|
|
(setq math-svo-off (or calc-display-origin 0))
|
|
(when (integerp calc-line-breaking)
|
|
(setq math-svo-wid calc-line-breaking)))
|
|
(cons (max (- math-svo-off (length calc-left-label)) 0)
|
|
(+ math-svo-wid num))))
|
|
|
|
(defun calc-count-lines (s)
|
|
(let ((pos 0)
|
|
(num 1))
|
|
(while (setq pos (string-match "\n" s pos))
|
|
(setq pos (1+ pos)
|
|
num (1+ num)))
|
|
num))
|
|
|
|
(defun math-format-value (a &optional w)
|
|
(if (and (Math-scalarp a)
|
|
(memq calc-language '(nil flat unform)))
|
|
(math-format-number a)
|
|
(require 'calc-ext)
|
|
(let ((calc-line-breaking nil))
|
|
(math-composition-to-string (math-compose-expr a 0) w))))
|
|
|
|
(defun calc-window-width ()
|
|
(if calc-embedded-info
|
|
(let ((win (get-buffer-window (aref calc-embedded-info 0))))
|
|
(1- (if win (window-width win) (frame-width))))
|
|
(- (window-width (get-buffer-window (current-buffer)))
|
|
(if calc-line-numbering 5 1))))
|
|
|
|
(defun math-comp-concat (c1 c2)
|
|
(if (and (stringp c1) (stringp c2))
|
|
(concat c1 c2)
|
|
(list 'horiz c1 c2)))
|
|
|
|
|
|
|
|
;;; Format an expression as a one-line string suitable for re-reading.
|
|
|
|
(defun math-format-flat-expr (a prec)
|
|
(cond
|
|
((or (not (or (consp a) (integerp a)))
|
|
(eq calc-display-raw t))
|
|
(let ((print-escape-newlines t))
|
|
(concat "'" (prin1-to-string a))))
|
|
((Math-scalarp a)
|
|
(let ((calc-group-digits nil)
|
|
(calc-point-char ".")
|
|
(calc-frac-format (if (> (length (car calc-frac-format)) 1)
|
|
'("::" nil) '(":" nil)))
|
|
(calc-complex-format nil)
|
|
(calc-hms-format "%s@ %s' %s\"")
|
|
(calc-language nil))
|
|
(math-format-number a)))
|
|
(t
|
|
(require 'calc-ext)
|
|
(math-format-flat-expr-fancy a prec))))
|
|
|
|
|
|
|
|
;;; Format a number as a string.
|
|
(defun math-format-number (a &optional prec) ; [X N] [Public]
|
|
(cond
|
|
((eq calc-display-raw t) (format "%s" a))
|
|
((and (nth 1 calc-frac-format) (Math-integerp a))
|
|
(require 'calc-ext)
|
|
(math-format-number (math-adjust-fraction a)))
|
|
((integerp a)
|
|
(if (not (or calc-group-digits calc-leading-zeros))
|
|
(if (= calc-number-radix 10)
|
|
(int-to-string a)
|
|
(if (< a 0)
|
|
(concat "-" (math-format-number (- a)))
|
|
(require 'calc-ext)
|
|
(if math-radix-explicit-format
|
|
(if calc-radix-formatter
|
|
(funcall calc-radix-formatter
|
|
calc-number-radix
|
|
(if (= calc-number-radix 2)
|
|
(math-format-binary a)
|
|
(math-format-radix a)))
|
|
(format "%d#%s" calc-number-radix
|
|
(if (= calc-number-radix 2)
|
|
(math-format-binary a)
|
|
(math-format-radix a))))
|
|
(math-format-radix a))))
|
|
(math-format-number (math-bignum a))))
|
|
((stringp a) a)
|
|
((not (consp a)) (prin1-to-string a))
|
|
((eq (car a) 'bigpos) (math-format-bignum (cdr a)))
|
|
((eq (car a) 'bigneg) (concat "-" (math-format-bignum (cdr a))))
|
|
((and (eq (car a) 'float) (= calc-number-radix 10))
|
|
(if (Math-integer-negp (nth 1 a))
|
|
(concat "-" (math-format-number (math-neg a)))
|
|
(let ((mant (nth 1 a))
|
|
(exp (nth 2 a))
|
|
(fmt (car calc-float-format))
|
|
(figs (nth 1 calc-float-format))
|
|
(point calc-point-char)
|
|
str)
|
|
(if (and (eq fmt 'fix)
|
|
(or (and (< figs 0) (setq figs (- figs)))
|
|
(> (+ exp (math-numdigs mant)) (- figs))))
|
|
(progn
|
|
(setq mant (math-scale-rounding mant (+ exp figs))
|
|
str (if (integerp mant)
|
|
(int-to-string mant)
|
|
(math-format-bignum-decimal (cdr mant))))
|
|
(if (<= (length str) figs)
|
|
(setq str (concat (make-string (1+ (- figs (length str))) ?0)
|
|
str)))
|
|
(if (> figs 0)
|
|
(setq str (concat (substring str 0 (- figs)) point
|
|
(substring str (- figs))))
|
|
(setq str (concat str point)))
|
|
(when calc-group-digits
|
|
(require 'calc-ext)
|
|
(setq str (math-group-float str))))
|
|
(when (< figs 0)
|
|
(setq figs (+ calc-internal-prec figs)))
|
|
(when (> figs 0)
|
|
(let ((adj (- figs (math-numdigs mant))))
|
|
(when (< adj 0)
|
|
(setq mant (math-scale-rounding mant adj)
|
|
exp (- exp adj)))))
|
|
(setq str (if (integerp mant)
|
|
(int-to-string mant)
|
|
(math-format-bignum-decimal (cdr mant))))
|
|
(let* ((len (length str))
|
|
(dpos (+ exp len)))
|
|
(if (and (eq fmt 'float)
|
|
(<= dpos (+ calc-internal-prec calc-display-sci-high))
|
|
(>= dpos (+ calc-display-sci-low 2)))
|
|
(progn
|
|
(cond
|
|
((= dpos 0)
|
|
(setq str (concat "0" point str)))
|
|
((and (<= exp 0) (> dpos 0))
|
|
(setq str (concat (substring str 0 dpos) point
|
|
(substring str dpos))))
|
|
((> exp 0)
|
|
(setq str (concat str (make-string exp ?0) point)))
|
|
(t ; (< dpos 0)
|
|
(setq str (concat "0" point
|
|
(make-string (- dpos) ?0) str))))
|
|
(when calc-group-digits
|
|
(require 'calc-ext)
|
|
(setq str (math-group-float str))))
|
|
(let* ((eadj (+ exp len))
|
|
(scale (if (eq fmt 'eng)
|
|
(1+ (math-mod (+ eadj 300002) 3))
|
|
1)))
|
|
(if (> scale (length str))
|
|
(setq str (concat str (make-string (- scale (length str))
|
|
?0))))
|
|
(if (< scale (length str))
|
|
(setq str (concat (substring str 0 scale) point
|
|
(substring str scale))))
|
|
(when calc-group-digits
|
|
(require 'calc-ext)
|
|
(setq str (math-group-float str)))
|
|
(setq str (format (if (memq calc-language '(math maple))
|
|
(if (and prec (> prec 191))
|
|
"(%s*10.^%d)" "%s*10.^%d")
|
|
"%se%d")
|
|
str (- eadj scale)))))))
|
|
str)))
|
|
(t
|
|
(require 'calc-ext)
|
|
(math-format-number-fancy a prec))))
|
|
|
|
(defun math-format-bignum (a) ; [X L]
|
|
(if (and (= calc-number-radix 10)
|
|
(not calc-leading-zeros)
|
|
(not calc-group-digits))
|
|
(math-format-bignum-decimal a)
|
|
(require 'calc-ext)
|
|
(math-format-bignum-fancy a)))
|
|
|
|
(defun math-format-bignum-decimal (a) ; [X L]
|
|
(if a
|
|
(let ((s ""))
|
|
(while (cdr (cdr a))
|
|
(setq s (concat
|
|
(format
|
|
(concat "%0"
|
|
(number-to-string (* 2 math-bignum-digit-length))
|
|
"d")
|
|
(+ (* (nth 1 a) math-bignum-digit-size) (car a))) s)
|
|
a (cdr (cdr a))))
|
|
(concat (int-to-string
|
|
(+ (* (or (nth 1 a) 0) math-bignum-digit-size) (car a))) s))
|
|
"0"))
|
|
|
|
|
|
|
|
;;; Parse a simple number in string form. [N X] [Public]
|
|
(defun math-read-number (s)
|
|
"Convert the string S into a Calc number."
|
|
(math-normalize
|
|
(cond
|
|
|
|
;; Integers (most common case)
|
|
((string-match "\\` *\\([0-9]+\\) *\\'" s)
|
|
(let ((digs (math-match-substring s 1)))
|
|
(if (and (eq calc-language 'c)
|
|
(> (length digs) 1)
|
|
(eq (aref digs 0) ?0))
|
|
(math-read-number (concat "8#" digs))
|
|
(if (<= (length digs) (* 2 math-bignum-digit-length))
|
|
(string-to-number digs)
|
|
(cons 'bigpos (math-read-bignum digs))))))
|
|
|
|
;; Clean up the string if necessary
|
|
((string-match "\\`\\(.*\\)[ \t\n]+\\([^\001]*\\)\\'" s)
|
|
(math-read-number (concat (math-match-substring s 1)
|
|
(math-match-substring s 2))))
|
|
|
|
;; Plus and minus signs
|
|
((string-match "^[-_+]\\(.*\\)$" s)
|
|
(let ((val (math-read-number (math-match-substring s 1))))
|
|
(and val (if (eq (aref s 0) ?+) val (math-neg val)))))
|
|
|
|
;; Forms that require extensions module
|
|
((string-match "[^-+0-9eE.]" s)
|
|
(require 'calc-ext)
|
|
(math-read-number-fancy s))
|
|
|
|
;; Decimal point
|
|
((string-match "^\\([0-9]*\\)\\.\\([0-9]*\\)$" s)
|
|
(let ((int (math-match-substring s 1))
|
|
(frac (math-match-substring s 2)))
|
|
(let ((ilen (length int))
|
|
(flen (length frac)))
|
|
(let ((int (if (> ilen 0) (math-read-number int) 0))
|
|
(frac (if (> flen 0) (math-read-number frac) 0)))
|
|
(and int frac (or (> ilen 0) (> flen 0))
|
|
(list 'float
|
|
(math-add (math-scale-int int flen) frac)
|
|
(- flen)))))))
|
|
|
|
;; "e" notation
|
|
((string-match "^\\(.*\\)[eE]\\([-+]?[0-9]+\\)$" s)
|
|
(let ((mant (math-match-substring s 1))
|
|
(exp (math-match-substring s 2)))
|
|
(let ((mant (if (> (length mant) 0) (math-read-number mant) 1))
|
|
(exp (if (<= (length exp) (if (memq (aref exp 0) '(?+ ?-)) 8 7))
|
|
(string-to-number exp))))
|
|
(and mant exp (Math-realp mant) (> exp -4000000) (< exp 4000000)
|
|
(let ((mant (math-float mant)))
|
|
(list 'float (nth 1 mant) (+ (nth 2 mant) exp)))))))
|
|
|
|
;; Syntax error!
|
|
(t nil))))
|
|
|
|
;;; Parse a very simple number, keeping all digits.
|
|
(defun math-read-number-simple (s)
|
|
"Convert the string S into a Calc number.
|
|
S is assumed to be a simple number (integer or float without an exponent)
|
|
and all digits are kept, regardless of Calc's current precision."
|
|
(cond
|
|
;; Integer
|
|
((string-match "^[0-9]+$" s)
|
|
(if (string-match "^\\(0+\\)" s)
|
|
(setq s (substring s (match-end 0))))
|
|
(if (<= (length s) (* 2 math-bignum-digit-length))
|
|
(string-to-number s)
|
|
(cons 'bigpos (math-read-bignum s))))
|
|
;; Minus sign
|
|
((string-match "^-[0-9]+$" s)
|
|
(if (<= (length s) (1+ (* 2 math-bignum-digit-length)))
|
|
(string-to-number s)
|
|
(cons 'bigneg (math-read-bignum (substring s 1)))))
|
|
;; Decimal point
|
|
((string-match "^\\(-?[0-9]*\\)\\.\\([0-9]*\\)$" s)
|
|
(let ((int (math-match-substring s 1))
|
|
(frac (math-match-substring s 2)))
|
|
(list 'float (math-read-number-simple (concat int frac))
|
|
(- (length frac)))))
|
|
;; Syntax error!
|
|
(t nil)))
|
|
|
|
(defun math-match-substring (s n)
|
|
(if (match-beginning n)
|
|
(substring s (match-beginning n) (match-end n))
|
|
""))
|
|
|
|
(defun math-read-bignum (s) ; [l X]
|
|
(if (> (length s) math-bignum-digit-length)
|
|
(cons (string-to-number (substring s (- math-bignum-digit-length)))
|
|
(math-read-bignum (substring s 0 (- math-bignum-digit-length))))
|
|
(list (string-to-number s))))
|
|
|
|
(defconst math-standard-opers
|
|
'( ( "_" calcFunc-subscr 1200 1201 )
|
|
( "%" calcFunc-percent 1100 -1 )
|
|
( "u!" calcFunc-lnot -1 1000 )
|
|
( "mod" mod 400 400 185 )
|
|
( "+/-" sdev 300 300 185 )
|
|
( "!!" calcFunc-dfact 210 -1 )
|
|
( "!" calcFunc-fact 210 -1 )
|
|
( "^" ^ 201 200 )
|
|
( "**" ^ 201 200 )
|
|
( "u+" ident -1 197 )
|
|
( "u-" neg -1 197 )
|
|
( "/" / 190 191 )
|
|
( "%" % 190 191 )
|
|
( "\\" calcFunc-idiv 190 191 )
|
|
( "+" + 180 181 )
|
|
( "-" - 180 181 )
|
|
( "|" | 170 171 )
|
|
( "<" calcFunc-lt 160 161 )
|
|
( ">" calcFunc-gt 160 161 )
|
|
( "<=" calcFunc-leq 160 161 )
|
|
( ">=" calcFunc-geq 160 161 )
|
|
( "=" calcFunc-eq 160 161 )
|
|
( "==" calcFunc-eq 160 161 )
|
|
( "!=" calcFunc-neq 160 161 )
|
|
( "&&" calcFunc-land 110 111 )
|
|
( "||" calcFunc-lor 100 101 )
|
|
( "?" (math-read-if) 91 90 )
|
|
( "!!!" calcFunc-pnot -1 85 )
|
|
( "&&&" calcFunc-pand 80 81 )
|
|
( "|||" calcFunc-por 75 76 )
|
|
( ":=" calcFunc-assign 51 50 )
|
|
( "::" calcFunc-condition 45 46 )
|
|
( "=>" calcFunc-evalto 40 41 )
|
|
( "=>" calcFunc-evalto 40 -1 )))
|
|
|
|
(defun math-standard-ops ()
|
|
(if calc-multiplication-has-precedence
|
|
(cons
|
|
'( "*" * 196 195 )
|
|
(cons
|
|
'( "2x" * 196 195 )
|
|
math-standard-opers))
|
|
(cons
|
|
'( "*" * 190 191 )
|
|
(cons
|
|
'( "2x" * 190 191 )
|
|
math-standard-opers))))
|
|
|
|
(defvar math-expr-opers (math-standard-ops))
|
|
|
|
(defun math-standard-ops-p ()
|
|
(let ((meo (caar math-expr-opers)))
|
|
(and (stringp meo)
|
|
(string= meo "*"))))
|
|
|
|
(defun math-expr-ops ()
|
|
(if (math-standard-ops-p)
|
|
(math-standard-ops)
|
|
math-expr-opers))
|
|
|
|
;;;###autoload
|
|
(defun calc-grab-region (top bot arg)
|
|
"Parse the region as a vector of numbers and push it on the Calculator stack."
|
|
(interactive "r\nP")
|
|
(require 'calc-ext)
|
|
(calc-do-grab-region top bot arg))
|
|
|
|
;;;###autoload
|
|
(defun calc-grab-rectangle (top bot arg)
|
|
"Parse a rectangle as a matrix of numbers and push it on the Calculator stack."
|
|
(interactive "r\nP")
|
|
(require 'calc-ext)
|
|
(calc-do-grab-rectangle top bot arg))
|
|
|
|
(defun calc-grab-sum-down (top bot arg)
|
|
"Parse a rectangle as a matrix of numbers and sum its columns."
|
|
(interactive "r\nP")
|
|
(require 'calc-ext)
|
|
(calc-do-grab-rectangle top bot arg 'calcFunc-reduced))
|
|
|
|
(defun calc-grab-sum-across (top bot arg)
|
|
"Parse a rectangle as a matrix of numbers and sum its rows."
|
|
(interactive "r\nP")
|
|
(require 'calc-ext)
|
|
(calc-do-grab-rectangle top bot arg 'calcFunc-reducea))
|
|
|
|
|
|
;;;###autoload
|
|
(defun calc-embedded (arg &optional end obeg oend)
|
|
"Start Calc Embedded mode on the formula surrounding point."
|
|
(interactive "P")
|
|
(require 'calc-ext)
|
|
(calc-do-embedded arg end obeg oend))
|
|
|
|
;;;###autoload
|
|
(defun calc-embedded-activate (&optional arg cbuf)
|
|
"Scan the current editing buffer for all embedded := and => formulas.
|
|
Also looks for the equivalent TeX words, \\gets and \\evalto."
|
|
(interactive "P")
|
|
(calc-do-embedded-activate arg cbuf))
|
|
|
|
(defun calc-user-invocation ()
|
|
(interactive)
|
|
(unless calc-invocation-macro
|
|
(error "Use `Z I' inside Calc to define a `C-x * Z' keyboard macro"))
|
|
(execute-kbd-macro calc-invocation-macro nil))
|
|
|
|
;;; User-programmability.
|
|
|
|
;;;###autoload
|
|
(defmacro defmath (func args &rest body) ; [Public]
|
|
(require 'calc-ext)
|
|
(math-do-defmath func args body))
|
|
|
|
;;; Functions needed for Lucid Emacs support.
|
|
|
|
(defun calc-read-key (&optional optkey)
|
|
(cond ((featurep 'xemacs)
|
|
(let ((event (next-command-event)))
|
|
(let ((key (event-to-character event t t)))
|
|
(or key optkey (error "Expected a plain keystroke"))
|
|
(cons key event))))
|
|
(t
|
|
(let ((key (read-event)))
|
|
(cons key key)))))
|
|
|
|
(defun calc-unread-command (&optional input)
|
|
(if (featurep 'xemacs)
|
|
(setq unread-command-event
|
|
(if (integerp input) (character-to-event input)
|
|
(or input last-command-event)))
|
|
(push (or input last-command-event) unread-command-events)))
|
|
|
|
(defun calc-clear-unread-commands ()
|
|
(if (featurep 'xemacs)
|
|
(setq unread-command-event nil)
|
|
(setq unread-command-events nil)))
|
|
|
|
(when calc-always-load-extensions
|
|
(require 'calc-ext)
|
|
(calc-load-everything))
|
|
|
|
|
|
(run-hooks 'calc-load-hook)
|
|
|
|
(provide 'calc)
|
|
|
|
;;; arch-tag: 0c3b170c-4ce6-4eaf-8d9b-5834d1fe938f
|
|
;;; calc.el ends here
|