mirror of
https://git.savannah.gnu.org/git/emacs.git
synced 2024-12-24 10:38:38 +00:00
3446 lines
113 KiB
EmacsLisp
3446 lines
113 KiB
EmacsLisp
;;; calc.el --- the GNU Emacs calculator
|
|
|
|
;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002 Free Software Foundation, Inc.
|
|
|
|
;; Author: David Gillespie <daveg@synaptics.com>
|
|
;; Maintainer: Colin Walters <walters@debian.org>
|
|
;; Keywords: convenience, extensions
|
|
;; Version: 2.02g
|
|
|
|
;; This file is part of GNU Emacs.
|
|
|
|
;; GNU Emacs is distributed in the hope that it will be useful,
|
|
;; but WITHOUT ANY WARRANTY. No author or distributor
|
|
;; accepts responsibility to anyone for the consequences of using it
|
|
;; or for whether it serves any particular purpose or works at all,
|
|
;; unless he says so in writing. Refer to the GNU Emacs General Public
|
|
;; License for full details.
|
|
|
|
;; Everyone is granted permission to copy, modify and redistribute
|
|
;; GNU Emacs, but only under the conditions described in the
|
|
;; GNU Emacs General Public License. A copy of this license is
|
|
;; supposed to have been given to you along with GNU Emacs so you
|
|
;; can know your rights and responsibilities. It should be in a
|
|
;; file named COPYING. Among other things, the copyright notice
|
|
;; and this notice must be preserved on all copies.
|
|
|
|
;;; Commentary:
|
|
|
|
;; Calc is split into many files. This file is the main entry point.
|
|
;; This file includes autoload commands for various other basic Calc
|
|
;; facilities. The more advanced features are based in calc-ext, which
|
|
;; in turn contains autoloads for the rest of the Calc files. This
|
|
;; odd set of interactions is designed to make Calc's loading time
|
|
;; be as short as possible when only simple calculations are needed.
|
|
|
|
;; Original author's address:
|
|
;; Dave Gillespie, daveg@synaptics.com, uunet!synaptx!daveg.
|
|
;; Synaptics, Inc., 2698 Orchard Parkway, San Jose, CA 95134.
|
|
;;
|
|
;; The old address daveg@csvax.cs.caltech.edu will continue to
|
|
;; work for the foreseeable future.
|
|
;;
|
|
;; Bug reports and suggestions are always welcome! (Type M-x
|
|
;; report-calc-bug to send them).
|
|
|
|
;; All functions, macros, and Lisp variables defined here begin with one
|
|
;; of the prefixes "math", "Math", or "calc", with the exceptions of
|
|
;; "full-calc", "full-calc-keypad", "another-calc", "quick-calc",
|
|
;; "report-calc-bug", and "defmath". User-accessible variables begin
|
|
;; with "var-".
|
|
|
|
;;; TODO:
|
|
|
|
;; Fix rewrite mechanism to do less gratuitous rearrangement of terms.
|
|
;; Implement a pattern-based "refers" predicate.
|
|
;;
|
|
;; Make it possible to Undo a selection command.
|
|
;; Figure out how to allow selecting rows of matrices.
|
|
;; If cursor was in selection before, move it after j n, j p, j L, etc.
|
|
;; Consider reimplementing calc-delete-selection using rewrites.
|
|
;;
|
|
;; Implement line-breaking in non-flat compositions (is this desirable?).
|
|
;; Implement matrix formatting with multi-line components.
|
|
;;
|
|
;; Have "Z R" define a user command based on a set of rewrite rules.
|
|
;; Support "incf" and "decf" in defmath definitions.
|
|
;; Have defmath generate calls to calc-binary-op or calc-unary-op.
|
|
;; Make some way to define algebraic functions using keyboard macros.
|
|
;;
|
|
;; Allow calc-word-size=0 => Common Lisp-style signed bitwise arithmetic.
|
|
;; Consider digamma function (and thus arb. prec. Euler's gamma constant).
|
|
;; May as well make continued-fractions stuff available to the user.
|
|
;;
|
|
;; How about matrix eigenvalues, SVD, pseudo-inverse, etc.?
|
|
;; Should cache matrix inverses as well as decompositions.
|
|
;; If dividing by a non-square matrix, use least-squares automatically.
|
|
;; Consider supporting matrix exponentials.
|
|
;;
|
|
;; Have ninteg detect and work around singularities at the endpoints.
|
|
;; Use an adaptive subdivision algorithm for ninteg.
|
|
;; Provide nsum and nprod to go along with ninteg.
|
|
;;
|
|
;; Handle TeX-mode parsing of \matrix{ ... } where ... contains braces.
|
|
;; Support AmS-TeX's \{d,t,}frac, \{d,t,}binom notations.
|
|
;; Format and parse sums and products in Eqn and Math modes.
|
|
;;
|
|
;; Get math-read-big-expr to read sums, products, etc.
|
|
;; Change calc-grab-region to use math-read-big-expr.
|
|
;; Have a way to define functions using := in Embedded Mode.
|
|
;;
|
|
;; Support polar plotting with GNUPLOT.
|
|
;; Make a calc-graph-histogram function.
|
|
;;
|
|
;; Replace hokey formulas for complex functions with formulas designed
|
|
;; to minimize roundoff while maintaining the proper branch cuts.
|
|
;; Test accuracy of advanced math functions over whole complex plane.
|
|
;; Extend Bessel functions to provide arbitrary precision.
|
|
;; Extend advanced math functions to handle error forms and intervals.
|
|
;; Provide a better implementation for math-sin-cos-raw.
|
|
;; Provide a better implementation for math-hypot.
|
|
;; Provide a better implementation for math-make-frac.
|
|
;; Provide a better implementation for calcFunc-prfac.
|
|
;; Provide a better implementation for calcFunc-factor.
|
|
;;
|
|
;; Provide more examples in the tutorial section of the manual.
|
|
;; Cover in the tutorial: simplification modes, declarations,
|
|
;; bitwise stuff, selections, matrix mapping, financial functions.
|
|
;; Provide more Lisp programming examples in the manual.
|
|
;; Finish the Internals section of the manual (and bring it up to date).
|
|
;;
|
|
;; Tim suggests adding spreadsheet-like features.
|
|
;; Implement language modes for Gnuplot, Lisp, Ada, APL, ...?
|
|
;;
|
|
;; For atan series, if x > tan(pi/12) (about 0.268) reduce using the identity
|
|
;; atan(x) = atan((x * sqrt(3) - 1) / (sqrt(3) + x)) + pi/6.
|
|
;;
|
|
;; A better integration algorithm:
|
|
;; Use breadth-first instead of depth-first search, as follows:
|
|
;; The integral cache allows unfinished integrals in symbolic notation
|
|
;; on the righthand side. An entry with no unfinished integrals on the
|
|
;; RHS is "complete"; references to it elsewhere are replaced by the
|
|
;; integrated value. More than one cache entry for the same integral
|
|
;; may exist, though if one becomes complete, the others may be deleted.
|
|
;; The integrator works by using every applicable rule (such as
|
|
;; substitution, parts, linearity, etc.) to generate possible righthand
|
|
;; sides, all of which are entered into the cache. Now, as long as the
|
|
;; target integral is not complete (and the time limit has not run out)
|
|
;; choose an incomplete integral from the cache and, for every integral
|
|
;; appearing in its RHS's, add those integrals to the cache using the
|
|
;; same substitition, parts, etc. rules. The cache should be organized
|
|
;; as a priority queue, choosing the "simplest" incomplete integral at
|
|
;; each step, or choosing randomly among equally simple integrals.
|
|
;; Simplicity equals small size, and few steps removed from the original
|
|
;; target integral. Note that when the integrator finishes, incomplete
|
|
;; integrals can be left in the cache, so the algorithm can start where
|
|
;; it left off if another similar integral is later requested.
|
|
;; Breadth-first search would avoid the nagging problem of, e.g., whether
|
|
;; to use parts or substitution first, and which decomposition is best.
|
|
;; All are tried, and any path that diverges will quickly be put on the
|
|
;; back burner by the priority queue.
|
|
;; Note: Probably a good idea to call math-simplify-extended before
|
|
;; measuring a formula's simplicity.
|
|
|
|
;; From: "Robert J. Chassell" <bob@rattlesnake.com>
|
|
;; Subject: Re: fix for `Cannot open load file: calc-alg-3'
|
|
;; To: walters@debian.org
|
|
;; Date: Sat, 24 Nov 2001 21:44:21 +0000 (UTC)
|
|
;;
|
|
;; Could you add logistic curve fitting to the current list?
|
|
;;
|
|
;; (I guess the key binding for a logistic curve would have to be `s'
|
|
;; since a logistic curve is an `s' curve; both `l' and `L' are already
|
|
;; taken for logarithms.)
|
|
;;
|
|
;; Here is the current list for curve fitting;
|
|
;;
|
|
;; `1'
|
|
;; Linear or multilinear. a + b x + c y + d z.
|
|
;;
|
|
;; `2-9'
|
|
;; Polynomials. a + b x + c x^2 + d x^3.
|
|
;;
|
|
;; `e'
|
|
;; Exponential. a exp(b x) exp(c y).
|
|
;;
|
|
;; `E'
|
|
;; Base-10 exponential. a 10^(b x) 10^(c y).
|
|
;;
|
|
;; `x'
|
|
;; Exponential (alternate notation). exp(a + b x + c y).
|
|
;;
|
|
;; `X'
|
|
;; Base-10 exponential (alternate). 10^(a + b x + c y).
|
|
;;
|
|
;; `l'
|
|
;; Logarithmic. a + b ln(x) + c ln(y).
|
|
;;
|
|
;; `L'
|
|
;; Base-10 logarithmic. a + b log10(x) + c log10(y).
|
|
;;
|
|
;; `^'
|
|
;; General exponential. a b^x c^y.
|
|
;;
|
|
;; `p'
|
|
;; Power law. a x^b y^c.
|
|
;;
|
|
;; `q'
|
|
;; Quadratic. a + b (x-c)^2 + d (x-e)^2.
|
|
;;
|
|
;; `g'
|
|
;; Gaussian. (a / b sqrt(2 pi)) exp(-0.5*((x-c)/b)^2).
|
|
;;
|
|
;;
|
|
;; Logistic curves are used a great deal in ecology, and in predicting
|
|
;; human actions, such as use of different kinds of energy in a country
|
|
;; (wood, coal, oil, natural gas, etc.) or the number of scientific
|
|
;; papers a person publishes, or the number of movies made.
|
|
;;
|
|
;; (The less information on which to base the curve, the higher the error
|
|
;; rate. Theodore Modis ran some Monte Carlo simulations and produced
|
|
;; what may be useful set of confidence levels for different amounts of
|
|
;; initial information.)
|
|
|
|
;;; Code:
|
|
|
|
(provide 'calc)
|
|
(require 'calc-macs)
|
|
|
|
;;; The "###autoload" comment will be used by Emacs version 19 for
|
|
;;; maintaining the loaddefs.el file automatically.
|
|
|
|
;;;###autoload
|
|
(defvar calc-info-filename "calc.info"
|
|
"*File name in which to look for the Calculator's Info documentation.")
|
|
|
|
;;;###autoload
|
|
(defvar calc-settings-file user-init-file
|
|
"*File in which to record permanent settings; default is `user-init-file'.")
|
|
|
|
;;;###autoload
|
|
(defvar calc-autoload-directory nil
|
|
"Name of directory from which additional \".elc\" files for Calc should be
|
|
loaded. Should include a trailing \"/\".
|
|
If nil, use original installation directory.
|
|
This can safely be nil as long as the Calc files are on the load-path.")
|
|
|
|
;;;###autoload
|
|
(defvar calc-gnuplot-name "gnuplot"
|
|
"*Name of GNUPLOT program, for calc-graph features.")
|
|
|
|
;;;###autoload
|
|
(defvar calc-gnuplot-plot-command nil
|
|
"*Name of command for displaying GNUPLOT output; %s = file name to print.")
|
|
|
|
;;;###autoload
|
|
(defvar calc-gnuplot-print-command "lp %s"
|
|
"*Name of command for printing GNUPLOT output; %s = file name to print.")
|
|
|
|
;; Address of the author of Calc, for use by report-calc-bug.
|
|
(defvar calc-bug-address "walters@debian.org")
|
|
|
|
;; If t, scan keymaps to find all DEL-like keys.
|
|
;; if nil, only DEL itself is mapped to calc-pop.
|
|
(defvar calc-scan-for-dels t)
|
|
|
|
(defvar calc-extensions-loaded nil)
|
|
|
|
;; Calculator stack.
|
|
;; Entries are 3-lists: Formula, Height (in lines), Selection (or nil).
|
|
(defvar calc-stack '((top-of-stack 1 nil)))
|
|
|
|
(defvar calc-show-banner t
|
|
"*If non-nil, show a friendly greeting above the stack.")
|
|
|
|
;; Index into calc-stack of "top" of stack.
|
|
;; This is 1 unless calc-truncate-stack has been used.
|
|
;;(defvar calc-stack-top 1)
|
|
|
|
;; If non-nil, load the calc-ext module automatically when calc is loaded.
|
|
;;(defvar calc-always-load-extensions nil)
|
|
|
|
;; If non-nil, display line numbers in Calculator stack.
|
|
;;(defvar calc-line-numbering t)
|
|
|
|
;; If non-nil, break long values across multiple lines in Calculator stack.
|
|
;;(defvar calc-line-breaking t)
|
|
|
|
;; If nil, stack display is left-justified.
|
|
;; If 'right, stack display is right-justified.
|
|
;; If 'center, stack display is centered."
|
|
;;(defvar calc-display-just 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.
|
|
;;(defvar calc-display-origin nil)
|
|
|
|
;; Radix for entry and display of numbers in calc-mode, 2-36.
|
|
;;(defvar calc-number-radix 10)
|
|
|
|
;; If non-nil, leading zeros are provided to pad integers to calc-word-size.
|
|
;;(defvar calc-leading-zeros 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.
|
|
;;(defvar calc-group-digits nil)
|
|
|
|
;; 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.
|
|
;;(defvar calc-group-char ",")
|
|
|
|
;; The character (in the form of a string) to be used as a decimal point.
|
|
;;(defvar calc-point-char ".")
|
|
|
|
;; Format of displayed fractions; a string of one or two of ":" or "/".
|
|
;;(defvar calc-frac-format '(":" nil))
|
|
|
|
;; If non-nil, prefer fractional over floating-point results.
|
|
;;(defvar calc-prefer-frac nil)
|
|
|
|
;; Format of displayed hours-minutes-seconds angles, a format string.
|
|
;; String must contain three %s marks for hours, minutes, seconds respectively.
|
|
;;(defvar calc-hms-format "%s@ %s' %s\"")
|
|
|
|
;; Format of displayed date forms.
|
|
;;(defvar calc-date-format '((H ":" mm ":" SS pp " ") Www " " Mmm " " D ", " YYYY))
|
|
|
|
;; 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.
|
|
;;(defvar calc-float-format '(float 0))
|
|
|
|
;; Format to use when full precision must be displayed.
|
|
;;(defvar calc-full-float-format '(float 0))
|
|
|
|
;; 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.
|
|
;;(defvar calc-complex-format nil)
|
|
|
|
;; Preferred form, either 'cplx or 'polar, for complex numbers.
|
|
;;(defvar calc-complex-mode 'cplx)
|
|
|
|
;; 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).
|
|
;;(defvar calc-infinite-mode nil)
|
|
|
|
;; If non-nil, display vectors of byte-sized integers as strings.
|
|
;;(defvar calc-display-strings nil)
|
|
|
|
;; If nil, vector elements are left-justified.
|
|
;; If 'right, vector elements are right-justified.
|
|
;; If 'center, vector elements are centered."
|
|
;;(defvar calc-matrix-just 'center)
|
|
|
|
;; If non-nil, display vectors one element per line.
|
|
;;(defvar calc-break-vectors nil)
|
|
|
|
;; If non-nil, display long vectors in full. If nil, use abbreviated form.
|
|
;;(defvar calc-full-vectors t)
|
|
|
|
;; If non-nil, display long vectors in full in the trail.
|
|
;;(defvar calc-full-trail-vectors t)
|
|
|
|
;; If non-nil, separate elements of displayed vectors with this string.
|
|
;;(defvar calc-vector-commas ",")
|
|
|
|
;; If non-nil, surround displayed vectors with these characters.
|
|
;;(defvar calc-vector-brackets "[]")
|
|
|
|
;; 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).
|
|
;;(defvar calc-matrix-brackets '(R O))
|
|
|
|
;; 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.
|
|
;; eqn Use eqn notation.
|
|
;; math Use Mathematica(tm) notation.
|
|
;; maple Use Maple notation.
|
|
;;(defvar calc-language nil)
|
|
|
|
;; Numeric prefix argument for the command that set calc-language.
|
|
;;(defvar calc-language-option nil)
|
|
|
|
;; Open-parenthesis string for function call notation.
|
|
;;(defvar calc-function-open "(")
|
|
|
|
;; Close-parenthesis string for function call notation.
|
|
;;(defvar calc-function-close ")")
|
|
|
|
;; Function through which to pass strings after formatting.
|
|
;;(defvar calc-language-output-filter nil)
|
|
|
|
;; Function through which to pass strings before parsing.
|
|
;;(defvar calc-language-input-filter nil)
|
|
|
|
;; Formatting function used for non-decimal numbers.
|
|
;;(defvar calc-radix-formatter nil)
|
|
|
|
;; Label to display at left of formula.
|
|
;;(defvar calc-left-label "")
|
|
|
|
;; Label to display at right of formula.
|
|
;;(defvar calc-right-label "")
|
|
|
|
;; Minimum number of bits per word, if any, for binary operations in calc-mode.
|
|
;;(defvar calc-word-size 32)
|
|
|
|
;; Most recently used value of M in a modulo form.
|
|
;;(defvar calc-previous-modulo 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.
|
|
;;(defvar calc-simplify-mode nil)
|
|
|
|
;; If non-nil, recompute evalto's automatically when necessary.
|
|
;;(defvar calc-auto-recompute t)
|
|
|
|
;; If non-nil, display shows unformatted Lisp exprs. (For debugging)
|
|
;;(defvar calc-display-raw nil)
|
|
|
|
;; Number of digits of internal precision for calc-mode calculations.
|
|
;;(defvar calc-internal-prec 12)
|
|
|
|
;; If non-nil, next operation is Inverse.
|
|
;;(defvar calc-inverse-flag nil)
|
|
|
|
;; If non-nil, next operation is Hyperbolic.
|
|
;;(defvar calc-hyperbolic-flag nil)
|
|
|
|
;; If non-nil, next operation should not remove its arguments from stack.
|
|
;;(defvar calc-keep-args-flag nil)
|
|
|
|
;; If deg, angles are in degrees; if rad, angles are in radians.
|
|
;; If hms, angles are in degrees-minutes-seconds.
|
|
;;(defvar calc-angle-mode 'deg)
|
|
|
|
;; If non-nil, numeric entry accepts whole algebraic expressions.
|
|
;; If nil, algebraic expressions must be preceded by "'".
|
|
;;(defvar calc-algebraic-mode nil)
|
|
|
|
;; Like calc-algebraic-mode except only affects ( and [ keys.
|
|
;;(defvar calc-incomplete-algebraic-mode nil)
|
|
|
|
;; If non-nil, inexact numeric computations like sqrt(2) are postponed.
|
|
;; If nil, computations on numbers always yield numbers where possible.
|
|
;;(defvar calc-symbolic-mode nil)
|
|
|
|
;; If 'matrix, variables are assumed to be matrix-valued.
|
|
;; If a number, variables are assumed to be NxN matrices.
|
|
;; If 'scalar, variables are assumed to be scalar-valued.
|
|
;; If nil, symbolic math routines make no assumptions about variables.
|
|
;;(defvar calc-matrix-mode nil)
|
|
|
|
;; If non-nil, shifted letter keys are prefix keys rather than normal meanings.
|
|
;;(defvar calc-shift-prefix nil)
|
|
|
|
;; Initial height of Calculator window.
|
|
;;(defvar calc-window-height 7)
|
|
|
|
;; If non-nil, M-x calc creates a window to display Calculator trail.
|
|
;;(defvar calc-display-trail 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.
|
|
;;(defvar calc-show-selections t)
|
|
|
|
;; If non-nil, commands operate only on selected portions of formulas.
|
|
;; If nil, selections displayed but ignored.
|
|
;;(defvar calc-use-selections t)
|
|
|
|
;; If non-nil, selection hides deep structure of associative formulas.
|
|
;;(defvar calc-assoc-selections t)
|
|
|
|
;; If non-nil, display "Working..." for potentially slow Calculator commands.
|
|
;;(defvar calc-display-working-message 'lots)
|
|
|
|
;; If non-nil, automatically execute a "why" command to explain odd results.
|
|
;;(defvar calc-auto-why nil)
|
|
|
|
;; If non-nil, display timing information on each slow command.
|
|
;;(defvar calc-timing nil)
|
|
|
|
;; 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-high 0)
|
|
|
|
;; Floating-point numbers with this negative exponent or lower are displayed
|
|
;; scientific notation in calc-mode.
|
|
(defvar calc-display-sci-low -3)
|
|
|
|
|
|
;; List of used-defined strings to append to Calculator mode line.
|
|
(defvar calc-other-modes nil)
|
|
|
|
;; List of strings for Y prefix help.
|
|
(defvar calc-Y-help-msgs nil)
|
|
|
|
;; t if calc-settings-file has been loaded yet.
|
|
(defvar calc-loaded-settings-file nil)
|
|
|
|
|
|
|
|
(defconst calc-mode-var-list '((calc-always-load-extensions nil)
|
|
(calc-mode-save-mode local)
|
|
(calc-line-numbering t)
|
|
(calc-line-breaking t)
|
|
(calc-display-just nil)
|
|
(calc-display-origin nil)
|
|
(calc-left-label "")
|
|
(calc-right-label "")
|
|
(calc-number-radix 10)
|
|
(calc-leading-zeros nil)
|
|
(calc-group-digits nil)
|
|
(calc-group-char ",")
|
|
(calc-point-char ".")
|
|
(calc-frac-format (":" nil))
|
|
(calc-prefer-frac nil)
|
|
(calc-hms-format "%s@ %s' %s\"")
|
|
(calc-date-format ((H ":" mm C SS pp " ")
|
|
Www " " Mmm " " D ", " YYYY))
|
|
(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>"))
|
|
(calc-float-format (float 0))
|
|
(calc-full-float-format (float 0))
|
|
(calc-complex-format nil)
|
|
(calc-matrix-just center)
|
|
(calc-full-vectors t)
|
|
(calc-full-trail-vectors t)
|
|
(calc-break-vectors nil)
|
|
(calc-vector-commas ",")
|
|
(calc-vector-brackets "[]")
|
|
(calc-matrix-brackets (R O))
|
|
(calc-complex-mode cplx)
|
|
(calc-infinite-mode nil)
|
|
(calc-display-strings nil)
|
|
(calc-simplify-mode nil)
|
|
(calc-auto-recompute t)
|
|
(calc-word-size 32)
|
|
(calc-previous-modulo nil)
|
|
(calc-display-raw nil)
|
|
(calc-internal-prec 12)
|
|
(calc-angle-mode deg)
|
|
(calc-algebraic-mode nil)
|
|
(calc-incomplete-algebraic-mode nil)
|
|
(calc-symbolic-mode nil)
|
|
(calc-matrix-mode nil)
|
|
(calc-autorange-units nil)
|
|
(calc-shift-prefix nil)
|
|
(calc-window-height 7)
|
|
(calc-was-keypad-mode nil)
|
|
(calc-full-mode nil)
|
|
(calc-language nil)
|
|
(calc-language-option nil)
|
|
(calc-user-parse-tables nil)
|
|
(calc-show-selections t)
|
|
(calc-use-selections t)
|
|
(calc-assoc-selections t)
|
|
(calc-display-trail t)
|
|
(calc-display-working-message lots)
|
|
(calc-auto-why 'maybe)
|
|
(calc-timing nil)
|
|
(calc-gnuplot-default-device "default")
|
|
(calc-gnuplot-default-output "STDOUT")
|
|
(calc-gnuplot-print-device "postscript")
|
|
(calc-gnuplot-print-output "auto")
|
|
(calc-gnuplot-geometry nil)
|
|
(calc-graph-default-resolution 15)
|
|
(calc-graph-default-resolution-3d 5)
|
|
(calc-invocation-macro nil)
|
|
(calc-show-banner t)))
|
|
|
|
(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))
|
|
|
|
|
|
(defun calc-init-base ()
|
|
|
|
;; Verify that Calc is running on the right kind of system.
|
|
(setq calc-emacs-type-epoch (and (fboundp 'epoch::version) epoch::version)
|
|
calc-emacs-type-19 (not (or calc-emacs-type-epoch
|
|
(string-lessp emacs-version "19")))
|
|
calc-emacs-type-lucid (not (not (string-match "Lucid" emacs-version)))
|
|
calc-emacs-type-gnu19 (and calc-emacs-type-19
|
|
(not calc-emacs-type-lucid)))
|
|
|
|
;; Set up the standard keystroke (M-#) to run the Calculator, if that key
|
|
;; has not yet been bound to anything. For best results, the user should
|
|
;; do this before Calc is even loaded, so that M-# can auto-load Calc.
|
|
(or (global-key-binding "\e#")
|
|
(global-set-key "\e#" 'calc-dispatch))
|
|
|
|
;; 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))))))))))
|
|
|
|
;; If calc-autoload-directory is given, use that (and hope it works!).
|
|
(and calc-autoload-directory
|
|
(not (equal calc-autoload-directory ""))
|
|
(setq load-path (nconc load-path
|
|
(list (directory-file-name
|
|
calc-autoload-directory)))))))
|
|
|
|
;; 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")
|
|
|
|
(setq calc-version "2.02g"
|
|
calc-version-date "Mon Nov 19 2001"
|
|
calc-trail-pointer nil ; "Current" entry in trail buffer.
|
|
calc-trail-overlay nil ; Value of overlay-arrow-string.
|
|
calc-undo-list nil ; List of previous operations for undo.
|
|
calc-redo-list nil ; List of recent undo operations.
|
|
calc-main-buffer nil ; Pointer to Calculator buffer.
|
|
calc-trail-buffer nil ; Pointer to Calc Trail buffer.
|
|
calc-why nil ; Explanations of most recent errors.
|
|
calc-next-why nil
|
|
calc-inverse-flag nil
|
|
calc-hyperbolic-flag nil
|
|
calc-keep-args-flag nil
|
|
calc-function-open "("
|
|
calc-function-close ")"
|
|
calc-language-output-filter nil
|
|
calc-language-input-filter nil
|
|
calc-radix-formatter nil
|
|
calc-last-kill nil ; Last number killed in calc-mode.
|
|
calc-previous-alg-entry nil ; Previous algebraic entry.
|
|
calc-dollar-values nil ; Values to be used for '$'.
|
|
calc-dollar-used nil ; Highest order of '$' that occurred.
|
|
calc-hashes-used nil ; Highest order of '#' that occurred.
|
|
calc-quick-prev-results nil ; Previous results from Quick Calc.
|
|
calc-said-hello nil ; Has welcome message been said yet?
|
|
calc-executing-macro nil ; Kbd macro executing from "K" key.
|
|
calc-any-selections nil ; Nil means no selections present.
|
|
calc-help-phase 0 ; Count of consecutive "?" keystrokes.
|
|
calc-full-help-flag nil ; Executing calc-full-help?
|
|
calc-refresh-count 0 ; Count of calc-refresh calls.
|
|
calc-display-dirty nil
|
|
calc-prepared-composition nil
|
|
calc-selection-cache-default-entry nil
|
|
calc-embedded-info nil
|
|
calc-embedded-active nil
|
|
calc-standalone-flag nil
|
|
var-EvalRules nil
|
|
math-eval-rules-cache-tag t
|
|
math-radix-explicit-format t
|
|
math-expr-function-mapping nil
|
|
math-expr-variable-mapping nil
|
|
math-read-expr-quotes nil
|
|
math-working-step nil
|
|
math-working-step-2 nil
|
|
var-i '(special-const (math-imaginary 1))
|
|
var-pi '(special-const (math-pi))
|
|
var-e '(special-const (math-e))
|
|
var-phi '(special-const (math-phi))
|
|
var-gamma '(special-const (math-gamma-const))
|
|
var-Modes '(special-const (math-get-modes-vec)))
|
|
|
|
(mapcar (function (lambda (v) (or (boundp (car v)) (set (car v) (nth 1 v)))))
|
|
calc-mode-var-list)
|
|
(mapcar (function (lambda (v) (or (boundp v) (set v nil))))
|
|
calc-local-var-list)
|
|
|
|
(unless (boundp 'calc-mode-map)
|
|
(setq calc-mode-map (make-keymap))
|
|
(suppress-keymap calc-mode-map t)
|
|
(define-key calc-mode-map "+" 'calc-plus)
|
|
(define-key calc-mode-map "-" 'calc-minus)
|
|
(define-key calc-mode-map "*" 'calc-times)
|
|
(define-key calc-mode-map "/" 'calc-divide)
|
|
(define-key calc-mode-map "%" 'calc-mod)
|
|
(define-key calc-mode-map "&" 'calc-inv)
|
|
(define-key calc-mode-map "^" 'calc-power)
|
|
(define-key calc-mode-map "\M-%" 'calc-percent)
|
|
(define-key calc-mode-map "e" 'calcDigit-start)
|
|
(define-key calc-mode-map "i" 'calc-info)
|
|
(define-key calc-mode-map "n" 'calc-change-sign)
|
|
(define-key calc-mode-map "q" 'calc-quit)
|
|
(define-key calc-mode-map "Y" 'nil)
|
|
(define-key calc-mode-map "Y?" 'calc-shift-Y-prefix-help)
|
|
(define-key calc-mode-map "?" 'calc-help)
|
|
(define-key calc-mode-map " " 'calc-enter)
|
|
(define-key calc-mode-map "'" 'calc-algebraic-entry)
|
|
(define-key calc-mode-map "$" 'calc-auto-algebraic-entry)
|
|
(define-key calc-mode-map "\"" 'calc-auto-algebraic-entry)
|
|
(define-key calc-mode-map "\t" 'calc-roll-down)
|
|
(define-key calc-mode-map "\M-\t" 'calc-roll-up)
|
|
(define-key calc-mode-map "\C-m" 'calc-enter)
|
|
(define-key calc-mode-map "\M-\C-m" 'calc-last-args-stub)
|
|
(define-key calc-mode-map "\C-j" 'calc-over)
|
|
|
|
(mapcar (function
|
|
(lambda (x)
|
|
(define-key calc-mode-map (char-to-string x) 'undefined)))
|
|
"lOW")
|
|
(mapcar (function
|
|
(lambda (x)
|
|
(define-key calc-mode-map (char-to-string x)
|
|
'calc-missing-key)))
|
|
(concat "ABCDEFGHIJKLMNPQRSTUVXZabcdfghjkmoprstuvwxyz"
|
|
":\\|!()[]<>{},;=~`\C-k\M-k\C-w\M-w\C-y\C-_"))
|
|
(mapcar (function
|
|
(lambda (x)
|
|
(define-key calc-mode-map (char-to-string x) 'calcDigit-start)))
|
|
"_0123456789.#@")
|
|
|
|
(setq calc-digit-map (make-keymap))
|
|
(if calc-emacs-type-lucid
|
|
(map-keymap (function
|
|
(lambda (keys bind)
|
|
(define-key calc-digit-map keys
|
|
(if (eq bind 'undefined)
|
|
'undefined 'calcDigit-nondigit))))
|
|
calc-mode-map)
|
|
(let ((cmap (if calc-emacs-type-19 (nth 1 calc-mode-map) calc-mode-map))
|
|
(dmap (if calc-emacs-type-19 (nth 1 calc-digit-map)
|
|
calc-digit-map))
|
|
(i 0))
|
|
(while (< i 128)
|
|
(aset dmap i
|
|
(if (eq (aref cmap i) 'undefined)
|
|
'undefined 'calcDigit-nondigit))
|
|
(setq i (1+ i)))))
|
|
(mapcar (function
|
|
(lambda (x)
|
|
(define-key calc-digit-map (char-to-string x)
|
|
'calcDigit-key)))
|
|
"_0123456789.e+-:n#@oh'\"mspM")
|
|
(mapcar (function
|
|
(lambda (x)
|
|
(define-key calc-digit-map (char-to-string x)
|
|
'calcDigit-letter)))
|
|
"abcdfgijklqrtuvwxyzABCDEFGHIJKLNOPQRSTUVWXYZ")
|
|
(define-key calc-digit-map "'" 'calcDigit-algebraic)
|
|
(define-key calc-digit-map "`" 'calcDigit-edit)
|
|
(define-key calc-digit-map "\C-g" 'abort-recursive-edit)
|
|
|
|
(mapcar (function
|
|
(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 calc-emacs-type-lucid
|
|
(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)
|
|
'("\C-d"))
|
|
'("\177" "\C-d")))
|
|
|
|
(setq calc-dispatch-map (make-keymap))
|
|
(mapcar (function
|
|
(lambda (x)
|
|
(define-key calc-dispatch-map (char-to-string (car x)) (cdr x))
|
|
(when (string-match "abcdefhijklnopqrstuwxyz"
|
|
(char-to-string (car x)))
|
|
(define-key calc-dispatch-map
|
|
(char-to-string (- (car x) ?a -1)) (cdr x)))
|
|
(define-key calc-dispatch-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-update-formula )
|
|
( ?\' . calc-embedded-new-formula )
|
|
( ?\` . calc-embedded-edit )
|
|
( ?: . calc-grab-sum-down )
|
|
( ?_ . calc-grab-sum-across )
|
|
( ?0 . calc-reset )
|
|
( ?# . calc-same-interface )
|
|
( ?? . calc-dispatch-help ) ))
|
|
)
|
|
|
|
(autoload 'calc-extensions "calc-ext")
|
|
(autoload 'calc-need-macros "calc-macs")
|
|
|
|
;;;; (Autoloads here)
|
|
(mapcar (function (lambda (x)
|
|
(mapcar (function (lambda (func)
|
|
(autoload func (car x)))) (cdr x))))
|
|
'(
|
|
|
|
("calc-aent" calc-Need-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)
|
|
|
|
("calc-misc" calc-Need-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)
|
|
|
|
))
|
|
|
|
(mapcar (function (lambda (x)
|
|
(mapcar (function (lambda (cmd)
|
|
(autoload cmd (car x) nil t))) (cdr x))))
|
|
'(
|
|
|
|
("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-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-init-base)
|
|
|
|
|
|
;;;###autoload (global-set-key "\e#" '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)
|
|
(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) (calc-extensions))
|
|
(call-interactively key))
|
|
(beep))))
|
|
|
|
(defun calc-read-key-sequence (prompt map)
|
|
(let ((prompt2 (format "%s " (key-description (this-command-keys))))
|
|
(glob (current-global-map))
|
|
(loc (current-local-map)))
|
|
(or (input-pending-p) (message 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
|
|
(if (commandp (key-binding (if calc-emacs-type-19
|
|
(vector (cdr key))
|
|
(char-to-string (cdr key)))))
|
|
"" prompt2)))
|
|
(use-global-map glob)
|
|
(use-local-map loc)))))
|
|
|
|
|
|
|
|
(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)
|
|
(mapcar (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 (calc-extensions) calc-alg-map) calc-mode-map))
|
|
(mapcar (function (lambda (v) (make-local-variable v))) calc-local-var-list)
|
|
(make-local-variable 'overlay-arrow-position)
|
|
(make-local-variable 'overlay-arrow-string)
|
|
(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)
|
|
(string-match "\\.emacs" calc-settings-file)
|
|
(progn
|
|
(setq calc-loaded-settings-file t)
|
|
(load calc-settings-file t))) ; t = missing-ok
|
|
(if (and (eq window-system 'x) (boundp 'mouse-map))
|
|
(substitute-key-definition 'x-paste-text 'calc-x-paste-text
|
|
mouse-map))
|
|
(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))))
|
|
(run-hooks 'calc-mode-hook)
|
|
(calc-refresh t)
|
|
(calc-set-mode-line)
|
|
;; The calc-defs variable is a relic. Use calc-define properties instead.
|
|
(when (and (boundp 'calc-defs)
|
|
calc-defs)
|
|
(message "Evaluating calc-defs...")
|
|
(calc-need-macros)
|
|
(eval (cons 'progn calc-defs))
|
|
(setq calc-defs nil)
|
|
(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
|
|
(calc-extensions)
|
|
(calc-need-macros)
|
|
(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)
|
|
(set (make-local-variable 'font-lock-defaults)
|
|
'(nil t nil nil nil (font-lock-core-only . t)))
|
|
(when buf
|
|
(set (make-local-variable 'calc-main-buffer) buf))
|
|
(when (= (buffer-size) 0)
|
|
(let ((buffer-read-only nil))
|
|
(insert (propertize (concat "Emacs Calculator v" calc-version
|
|
" by Dave Gillespie\n")
|
|
'font-lock-face 'italic))))
|
|
(run-hooks 'calc-trail-mode-hook))
|
|
|
|
(defun calc-create-buffer ()
|
|
(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
|
|
(calc-extensions))
|
|
(when calc-language
|
|
(calc-extensions)
|
|
(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")
|
|
(if arg
|
|
(unless (eq arg 0)
|
|
(calc-extensions)
|
|
(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 (and (boundp 'calc-window-hook) 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
|
|
(or (interactive-p) interactive))
|
|
(sit-for 2)
|
|
(message ""))
|
|
(setq calc-said-hello t)))))
|
|
|
|
;;;###autoload
|
|
(defun full-calc ()
|
|
"Invoke the Calculator and give it a full-sized window."
|
|
(interactive)
|
|
(calc nil t (interactive-p)))
|
|
|
|
(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 (eq major-mode 'MacEdit-mode)
|
|
(MacEdit-finish-edit)
|
|
(if calc-was-keypad-mode
|
|
(calc-keypad)
|
|
(calc arg calc-full-mode t))))))
|
|
|
|
|
|
(defun calc-quit (&optional non-fatal)
|
|
(interactive)
|
|
(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 (eq major-mode 'MacEdit-mode)
|
|
(MacEdit-cancel-edit)
|
|
(if (and (interactive-p)
|
|
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)
|
|
(mapcar (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 ()
|
|
"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)
|
|
(calc-extensions)
|
|
(calc-do-keypad calc-full-mode (interactive-p)))
|
|
|
|
;;;###autoload
|
|
(defun full-calc-keypad ()
|
|
"Invoke the Calculator in full-screen \"visual keypad\" mode.
|
|
See calc-keypad for details."
|
|
(interactive)
|
|
(calc-extensions)
|
|
(calc-do-keypad t (interactive-p)))
|
|
|
|
|
|
(defvar calc-aborted-prefix nil)
|
|
(defvar calc-start-time nil)
|
|
;;; 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)
|
|
(calc-extensions)
|
|
(current-time-string)))
|
|
(gc-cons-threshold (max gc-cons-threshold
|
|
(if calc-timing 2000000 100000))))
|
|
(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)
|
|
(calc-extensions)
|
|
(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)))))
|
|
(setq calc-old-aborted-prefix calc-aborted-prefix)
|
|
(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-excursion
|
|
(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 '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) "")
|
|
((eq calc-language 'tex) "TeX ")
|
|
(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)
|
|
(calc-extensions)
|
|
(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))))))
|
|
|
|
(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)))
|
|
|
|
(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))
|
|
(setq calc-any-selections nil
|
|
calc-any-evaltos 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)))
|
|
|
|
|
|
(defun calc-x-paste-text (arg)
|
|
"Move point to mouse position and insert window system cut buffer contents.
|
|
If mouse is pressed in Calc window, push cut buffer contents onto the stack."
|
|
(x-mouse-select arg)
|
|
(if (memq major-mode '(calc-mode calc-trail-mode))
|
|
(progn
|
|
(calc-wrapper
|
|
(calc-extensions)
|
|
(let* ((buf (x-get-cut-buffer))
|
|
(val (math-read-exprs (calc-clean-newlines buf))))
|
|
(if (eq (car-safe val) 'error)
|
|
(progn
|
|
(setq val (math-read-exprs buf))
|
|
(if (eq (car-safe val) 'error)
|
|
(error "%s in yanked data" (nth 2 val)))))
|
|
(calc-enter-result 0 "Xynk" val))))
|
|
(x-paste-text arg)))
|
|
|
|
|
|
|
|
;;;; 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 "P")
|
|
(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 (and (boundp 'calc-trail-window-hook) 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-p)
|
|
(calc-do-refresh)
|
|
(calc-refresh))))))
|
|
(if win
|
|
(progn
|
|
(delete-window win)
|
|
(calc-wrapper
|
|
(or no-refresh
|
|
(if (interactive-p)
|
|
(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))))
|
|
(calc-extensions)
|
|
(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))))
|
|
(calc-extensions)
|
|
(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-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.
|
|
|
|
(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 calc-emacs-type-lucid
|
|
(catch 'calc-foo
|
|
(catch 'execute-kbd-macro
|
|
(throw 'calc-foo
|
|
(read-from-minibuffer
|
|
"Calc: " "" calc-digit-map)))
|
|
(error "Lucid Emacs 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
|
|
(calc-extensions)
|
|
(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-int
|
|
(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
|
|
(calc-extensions)
|
|
(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))))
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
;;;; 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 -999999 ... 999999.
|
|
;;;
|
|
;;; (bigpos N0 N1 N2 ...) A big positive integer, N0 + N1*1000 + N2*10^6 ...
|
|
;;; (bigneg N0 N1 N2 ...) A big negative integer, - N0 - N1*1000 ...
|
|
;;; Each digit N is in the range 0 ... 999.
|
|
;;; 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.]
|
|
|
|
;;; Reduce an object to canonical (normalized) form. [O o; Z Z] [Public]
|
|
(defun math-normalize (a)
|
|
(cond
|
|
((not (consp a))
|
|
(if (integerp a)
|
|
(if (or (>= a 1000000) (<= a -1000000))
|
|
(math-bignum a)
|
|
a)
|
|
a))
|
|
((eq (car a) 'bigpos)
|
|
(if (eq (nth (1- (length a)) a) 0)
|
|
(let* ((last (setq a (copy-sequence a))) (digs a))
|
|
(while (setq digs (cdr digs))
|
|
(or (eq (car digs) 0) (setq last digs)))
|
|
(setcdr last nil)))
|
|
(if (cdr (cdr (cdr a)))
|
|
a
|
|
(cond
|
|
((cdr (cdr a)) (+ (nth 1 a) (* (nth 2 a) 1000)))
|
|
((cdr a) (nth 1 a))
|
|
(t 0))))
|
|
((eq (car a) 'bigneg)
|
|
(if (eq (nth (1- (length a)) a) 0)
|
|
(let* ((last (setq a (copy-sequence a))) (digs a))
|
|
(while (setq digs (cdr digs))
|
|
(or (eq (car digs) 0) (setq last digs)))
|
|
(setcdr last nil)))
|
|
(if (cdr (cdr (cdr a)))
|
|
a
|
|
(cond
|
|
((cdr (cdr a)) (- (+ (nth 1 a) (* (nth 2 a) 1000))))
|
|
((cdr a) (- (nth 1 a)))
|
|
(t 0))))
|
|
((eq (car a) 'float)
|
|
(math-make-float (math-normalize (nth 1 a)) (nth 2 a)))
|
|
((or (memq (car 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 a))
|
|
(and (consp (car a)) (not (eq (car (car a)) 'lambda))))
|
|
(calc-extensions)
|
|
(math-normalize-fancy a))
|
|
(t
|
|
(or (and calc-simplify-mode
|
|
(calc-extensions)
|
|
(math-normalize-nonstandard))
|
|
(let ((args (mapcar 'math-normalize (cdr a))))
|
|
(or (condition-case err
|
|
(let ((func (assq (car 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
|
|
(calc-extensions)
|
|
(math-recompile-eval-rules)))
|
|
(and (or math-eval-rules-cache-other
|
|
(assq (car a) math-eval-rules-cache))
|
|
(math-apply-rewrites
|
|
(cons (car a) args)
|
|
(cdr math-eval-rules-cache)
|
|
nil math-eval-rules-cache))))
|
|
(if func
|
|
(apply (cdr func) args)
|
|
(and (or (consp (car a))
|
|
(fboundp (car a))
|
|
(and (not calc-extensions-loaded)
|
|
(calc-extensions)
|
|
(fboundp (car a))))
|
|
(apply (car a) args)))))
|
|
(wrong-number-of-arguments
|
|
(calc-record-why "*Wrong number of arguments"
|
|
(cons (car a) args))
|
|
nil)
|
|
(wrong-type-argument
|
|
(or calc-next-why (calc-record-why "Wrong type of argument"
|
|
(cons (car a) args)))
|
|
nil)
|
|
(args-out-of-range
|
|
(calc-record-why "*Argument out of range" (cons (car a) args))
|
|
nil)
|
|
(inexact-result
|
|
(calc-record-why "No exact representation for result"
|
|
(cons (car a) args))
|
|
nil)
|
|
(math-overflow
|
|
(calc-record-why "*Floating-point overflow occurred"
|
|
(cons (car a) args))
|
|
nil)
|
|
(math-underflow
|
|
(calc-record-why "*Floating-point underflow occurred"
|
|
(cons (car a) args))
|
|
nil)
|
|
(void-variable
|
|
(if (eq (nth 1 err) 'var-EvalRules)
|
|
(progn
|
|
(setq var-EvalRules nil)
|
|
(math-normalize (cons (car a) args)))
|
|
(calc-record-why "*Variable is void" (nth 1 err)))))
|
|
(if (consp (car a))
|
|
(math-dimension-error)
|
|
(cons (car 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 1000) (math-bignum-big (/ a 1000)))))
|
|
|
|
|
|
;;; 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 3)))
|
|
(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) 100))
|
|
(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)))
|
|
(+ (* len 3) (cond ((>= top 100) 0) ((>= top 10) -1) (t -2))))
|
|
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 3)
|
|
(if (or (>= a 1000) (<= a -1000))
|
|
(math-scale-left (math-bignum a) n)
|
|
(math-scale-left (* a 1000) (- n 3)))
|
|
(if (= n 2)
|
|
(if (or (>= a 10000) (<= a -10000))
|
|
(math-scale-left (math-bignum a) 2)
|
|
(* a 100))
|
|
(if (or (>= a 100000) (<= a -100000))
|
|
(math-scale-left (math-bignum a) 1)
|
|
(* a 10)))))))
|
|
|
|
(defun math-scale-left-bignum (a n)
|
|
(if (>= n 3)
|
|
(while (>= (setq a (cons 0 a)
|
|
n (- n 3)) 3)))
|
|
(if (> n 0)
|
|
(math-mul-bignum-digit a (if (= n 2) 100 10) 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 3)
|
|
(while (and (> (setq a (/ a 1000)) 0)
|
|
(>= (setq n (- n 3)) 3))))
|
|
(if (= n 2)
|
|
(/ a 100)
|
|
(if (= n 1)
|
|
(/ a 10)
|
|
a))))))
|
|
|
|
(defun math-scale-right-bignum (a n) ; [L L S; l l S]
|
|
(if (>= n 3)
|
|
(setq a (nthcdr (/ n 3) a)
|
|
n (% n 3)))
|
|
(if (> n 0)
|
|
(cdr (math-mul-bignum-digit a (if (= n 2) 10 100) 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 -3)
|
|
(math-scale-right-bignum (cdr a) (- -3 n))
|
|
(if (= n -2)
|
|
(math-mul-bignum-digit (cdr a) 10 0)
|
|
(if (= n -1)
|
|
(math-mul-bignum-digit (cdr a) 100 0)
|
|
(cdr a)))))) ; n = -3
|
|
(if (and val (>= (car val) 500))
|
|
(if (cdr val)
|
|
(if (eq (car (cdr val)) 999)
|
|
(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 -1000000) (>= a 1000000))
|
|
(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)
|
|
(calc-extensions)
|
|
(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 (calc-extensions)
|
|
(math-add-objects-fancy a b))))
|
|
(and (calc-extensions)
|
|
(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))) 999)
|
|
(progn
|
|
(setcar aa (1+ sum))
|
|
(setq carry nil))
|
|
(setcar aa (+ sum -999)))
|
|
(if (< (setq sum (+ (car aa) (car b))) 1000)
|
|
(setcar aa sum)
|
|
(setcar aa (+ sum -1000))
|
|
(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) 999)
|
|
(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)
|
|
(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 999)))
|
|
(if (>= (setq diff (- (car aa) (car b))) 0)
|
|
(setcar aa diff)
|
|
(setcar aa (+ diff 1000))
|
|
(setq borrow t)))
|
|
(setq aa (cdr aa)
|
|
b (cdr b)))
|
|
(if borrow
|
|
(progn
|
|
(while (eq (car aa) 0)
|
|
(setcar aa 999)
|
|
(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 -1000000) (>= a 1000000))
|
|
(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 1000) (> a -1000) (< b 1000) (> b -1000)
|
|
(* 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)
|
|
(calc-extensions)
|
|
(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)
|
|
(calc-extensions)
|
|
(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)
|
|
(calc-extensions)
|
|
(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 (calc-extensions)
|
|
(math-mul-objects-fancy a b))))
|
|
(and (calc-extensions)
|
|
(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)) 1000))
|
|
(setq aa (cdr aa)))
|
|
(setq c (/ prod 1000)
|
|
ss (or (cdr ss) (setcdr ss (list 0)))))
|
|
(if (>= prod 1000)
|
|
(if (cdr ss)
|
|
(setcar (cdr ss) (+ (/ prod 1000) (car (cdr ss))))
|
|
(setcdr ss (list (/ prod 1000))))))
|
|
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)) 1000))
|
|
(cdr aa))
|
|
(setq aa (cdr aa)
|
|
c (/ prod 1000)))
|
|
(if (>= prod 1000)
|
|
(setcdr aa (list (/ prod 1000))))
|
|
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 1000))
|
|
(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 1000))
|
|
(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 (/ 1000 (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 (/ 1000 (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) 1000) (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*1000 [D.l l L]
|
|
(let* ((num (+ (* (or (nth blen a) 0) 1000) (or (nth (1- blen) a) 0)))
|
|
(den (nth (1- blen) b))
|
|
(guess (min (/ num den) 999)))
|
|
(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)
|
|
(calc-extensions)
|
|
(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)
|
|
(calc-extensions)
|
|
(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
|
|
(calc-extensions)
|
|
(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)
|
|
(calc-extensions)
|
|
(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 (calc-extensions)
|
|
(math-div-objects-fancy a b))))
|
|
(and (calc-extensions)
|
|
(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))))
|
|
|
|
|
|
|
|
|
|
|
|
;;; 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 (calc-extensions)
|
|
(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 ? ) c)))
|
|
(or (equal calc-left-label "")
|
|
(setq c (math-comp-concat (if (eq a 'top-of-stack)
|
|
(make-string (length calc-left-label) ? )
|
|
calc-left-label)
|
|
c)))
|
|
(when calc-line-numbering
|
|
(setq c (math-comp-concat (if (eq calc-language 'big)
|
|
(when math-comp-selected
|
|
'(tag t "1: ") "1: ")
|
|
" ")
|
|
c)))
|
|
(unless (or (equal calc-right-label "")
|
|
(eq a 'top-of-stack))
|
|
(calc-extensions)
|
|
(setq c (list 'horiz c
|
|
(make-string (max (- w (math-comp-width c)
|
|
(length calc-right-label)) 0) ? )
|
|
'(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
|
|
(aset s 0 ?1)
|
|
(aset s 1 ?:)))
|
|
(setcar (cdr entry) (calc-count-lines s))
|
|
s))
|
|
|
|
(defun math-stack-value-offset (c)
|
|
(let* ((num (if calc-line-numbering 4 0))
|
|
(wid (calc-window-width))
|
|
off)
|
|
(if calc-display-just
|
|
(progn
|
|
(calc-extensions)
|
|
(math-stack-value-offset-fancy))
|
|
(setq off (or calc-display-origin 0))
|
|
(when (integerp calc-line-breaking)
|
|
(setq wid calc-line-breaking)))
|
|
(cons (max (- off (length calc-left-label)) 0)
|
|
(+ wid num))))
|
|
|
|
(defun calc-count-lines (s)
|
|
(let ((pos 0)
|
|
(num 1))
|
|
(while (setq newpos (string-match "\n" s pos))
|
|
(setq pos (1+ newpos)
|
|
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)
|
|
(calc-extensions)
|
|
(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
|
|
(calc-extensions)
|
|
(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))
|
|
(calc-extensions)
|
|
(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)))
|
|
(calc-extensions)
|
|
(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
|
|
(calc-extensions)
|
|
(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)
|
|
(calc-extensions)
|
|
(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 "%06d" (+ (* (nth 1 a) 1000) (car a))) s)
|
|
a (cdr (cdr a))))
|
|
(concat (int-to-string (+ (* (or (nth 1 a) 0) 1000) (car a))) s))
|
|
"0"))
|
|
|
|
|
|
|
|
;;; Parse a simple number in string form. [N X] [Public]
|
|
(defun math-read-number (s)
|
|
(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) 6)
|
|
(string-to-int 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)
|
|
(calc-extensions)
|
|
(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-int 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))))
|
|
|
|
(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) 3)
|
|
(cons (string-to-int (substring s -3))
|
|
(math-read-bignum (substring s 0 -3)))
|
|
(list (string-to-int s))))
|
|
|
|
|
|
(defconst math-tex-ignore-words
|
|
'( ("\\hbox") ("\\mbox") ("\\text") ("\\left") ("\\right")
|
|
("\\,") ("\\>") ("\\:") ("\\;") ("\\!") ("\\ ")
|
|
("\\quad") ("\\qquad") ("\\hfil") ("\\hfill")
|
|
("\\displaystyle") ("\\textstyle") ("\\dsize") ("\\tsize")
|
|
("\\scriptstyle") ("\\scriptscriptstyle") ("\\ssize") ("\\sssize")
|
|
("\\rm") ("\\bf") ("\\it") ("\\sl")
|
|
("\\roman") ("\\bold") ("\\italic") ("\\slanted")
|
|
("\\cal") ("\\mit") ("\\Cal") ("\\Bbb") ("\\frak") ("\\goth")
|
|
("\\evalto")
|
|
("\\matrix" mat) ("\\bmatrix" mat) ("\\pmatrix" mat)
|
|
("\\cr" punc ";") ("\\\\" punc ";") ("\\*" punc "*")
|
|
("\\{" punc "[") ("\\}" punc "]")
|
|
))
|
|
|
|
(defconst math-eqn-ignore-words
|
|
'( ("roman") ("bold") ("italic") ("mark") ("lineup") ("evalto")
|
|
("left" ("floor") ("ceil"))
|
|
("right" ("floor") ("ceil"))
|
|
("arc" ("sin") ("cos") ("tan") ("sinh") ("cosh") ("tanh"))
|
|
("size" n) ("font" n) ("fwd" n) ("back" n) ("up" n) ("down" n)
|
|
("above" punc ",")
|
|
))
|
|
|
|
(defconst math-standard-opers
|
|
'( ( "_" calcFunc-subscr 1200 1201 )
|
|
( "%" calcFunc-percent 1100 -1 )
|
|
( "u+" ident -1 1000 )
|
|
( "u-" neg -1 1000 197 )
|
|
( "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 )
|
|
( "*" * 196 195 )
|
|
( "2x" * 196 195 )
|
|
( "/" / 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 )))
|
|
(defvar math-expr-opers math-standard-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")
|
|
(calc-extensions)
|
|
(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")
|
|
(calc-extensions)
|
|
(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")
|
|
(calc-extensions)
|
|
(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")
|
|
(calc-extensions)
|
|
(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")
|
|
(calc-extensions)
|
|
(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 (stringp calc-invocation-macro)
|
|
(error "Use `Z I' inside Calc to define a `M-# Z' keyboard macro"))
|
|
(execute-kbd-macro calc-invocation-macro nil))
|
|
|
|
;;; User-programmability.
|
|
|
|
;;;###autoload
|
|
(defmacro defmath (func args &rest body) ; [Public]
|
|
(calc-extensions)
|
|
(math-do-defmath func args body))
|
|
|
|
;;; Functions needed for Lucid Emacs support.
|
|
|
|
(defun calc-read-key (&optional optkey)
|
|
(cond (calc-emacs-type-lucid
|
|
(let ((event (next-command-event)))
|
|
(let ((key (event-to-character event t t)))
|
|
(or key optkey (error "Expected a plain keystroke"))
|
|
(cons key event))))
|
|
(calc-emacs-type-gnu19
|
|
(let ((key (read-event)))
|
|
(cons key key)))
|
|
(t
|
|
(let ((key (read-char)))
|
|
(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)
|
|
(calc-emacs-type-lucid (setq unread-command-event nil))
|
|
(setq unread-command-events nil)))
|
|
|
|
(when calc-always-load-extensions
|
|
(calc-extensions)
|
|
(calc-load-everything))
|
|
|
|
|
|
(run-hooks 'calc-load-hook)
|
|
|
|
;;; calc.el ends here
|