3433 lines
127 KiB
EmacsLisp
3433 lines
127 KiB
EmacsLisp
;;; calc-ext.el --- various extension functions for Calc -*- lexical-binding:t -*-
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;; Copyright (C) 1990-1993, 2001-2024 Free Software Foundation, Inc.
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;; Author: David Gillespie <daveg@synaptics.com>
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;; This file is part of GNU Emacs.
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;; GNU Emacs is free software: you can redistribute it and/or modify
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;; it under the terms of the GNU General Public License as published by
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;; the Free Software Foundation, either version 3 of the License, or
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;; (at your option) any later version.
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;; GNU Emacs is distributed in the hope that it will be useful,
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;; but WITHOUT ANY WARRANTY; without even the implied warranty of
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;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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;; GNU General Public License for more details.
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;; You should have received a copy of the GNU General Public License
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;; along with GNU Emacs. If not, see <https://www.gnu.org/licenses/>.
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;;; Commentary:
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;;; Code:
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(require 'calc)
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(require 'calc-macs)
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(require 'cl-lib)
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;; Declare functions which are defined elsewhere.
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(declare-function math-clip "calc-bin" (a &optional w))
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(declare-function math-round "calc-arith" (a &optional prec))
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(declare-function math-simplify "calc-alg" (top-expr))
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(declare-function math-simplify-extended "calc-alg" (a))
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(declare-function math-simplify-units "calc-units" (a))
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(declare-function calc-set-language "calc-lang" (lang &optional option no-refresh))
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(declare-function calc-flush-caches "calc-stuff" (&optional inhibit-msg))
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(declare-function calc-save-modes "calc-mode" ())
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(declare-function calc-embedded-modes-change "calc-embed" (vars))
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(declare-function calc-embedded-var-change "calc-embed" (var &optional buf))
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(declare-function math-mul-float "calc-arith" (a b))
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(declare-function math-arctan-raw "calc-math" (x))
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(declare-function math-sqrt-raw "calc-math" (a &optional guess))
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(declare-function math-sqrt-float "calc-math" (a &optional guess))
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(declare-function math-exp-minus-1-raw "calc-math" (x))
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(declare-function math-normalize-polar "calc-cplx" (a))
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(declare-function math-normalize-hms "calc-forms" (a))
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(declare-function math-normalize-mod "calc-forms" (a))
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(declare-function math-make-sdev "calc-forms" (x sigma))
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(declare-function math-make-intv "calc-forms" (mask lo hi))
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(declare-function math-normalize-logical-op "calc-prog" (a))
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(declare-function math-possible-signs "calc-arith" (a &optional origin))
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(declare-function math-infinite-dir "calc-math" (a &optional inf))
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(declare-function math-calcFunc-to-var "calc-map" (f))
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(declare-function calc-embedded-evaluate-expr "calc-embed" (x))
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(declare-function math-known-nonzerop "calc-arith" (a))
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(declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term))
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(declare-function math-read-big-rec "calc-lang" (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2 &optional baseline prec short))
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(declare-function math-read-big-balance "calc-lang" (h v what &optional commas))
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(declare-function math-format-date "calc-forms" (math-fd-date))
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(declare-function math-vector-is-string "calccomp" (a))
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(declare-function math-vector-to-string "calccomp" (a &optional quoted))
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(declare-function math-format-radix-float "calc-bin" (a prec))
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(declare-function math-compose-expr "calccomp" (a prec &optional div))
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(declare-function math-abs "calc-arith" (a))
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(declare-function math-format-binary "calc-bin" (a))
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(declare-function math-format-radix "calc-bin" (a))
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(declare-function math-compute-max-digits "calc-bin" (w r))
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(declare-function math-map-vec "calc-vec" (f a))
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(declare-function math-make-frac "calc-frac" (num den))
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(defvar math-simplifying nil)
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(defvar math-living-dangerously nil) ; true if unsafe simplifications are okay.
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(defvar math-integrating nil)
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(defvar math-rewrite-selections nil)
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(defvar math-compose-level 0)
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(defvar math-comp-selected nil)
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(defvar math-comp-tagged nil)
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(defvar math-comp-sel-hpos nil)
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(defvar math-comp-sel-vpos nil)
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(defvar math-comp-sel-cpos nil)
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(defvar math-compose-hash-args nil)
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(defvar calc-alg-map)
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(defvar calc-alg-esc-map)
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;; The following was made a function so that it could be byte-compiled.
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(defun calc-init-extensions ()
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(define-key calc-mode-map ":" 'calc-fdiv)
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(define-key calc-mode-map "\\" 'calc-idiv)
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(define-key calc-mode-map "|" 'calc-concat)
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(define-key calc-mode-map "!" 'calc-factorial)
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(define-key calc-mode-map "C" 'calc-cos)
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(define-key calc-mode-map "E" 'calc-exp)
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(define-key calc-mode-map "H" 'calc-hyperbolic)
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(define-key calc-mode-map "I" 'calc-inverse)
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(define-key calc-mode-map "J" 'calc-conj)
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(define-key calc-mode-map "L" 'calc-ln)
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(define-key calc-mode-map "N" 'calc-eval-num)
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(define-key calc-mode-map "O" 'calc-option)
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(define-key calc-mode-map "P" 'calc-pi)
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(define-key calc-mode-map "Q" 'calc-sqrt)
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(define-key calc-mode-map "R" 'calc-round)
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(define-key calc-mode-map "S" 'calc-sin)
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(define-key calc-mode-map "T" 'calc-tan)
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(define-key calc-mode-map "U" 'calc-undo)
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(define-key calc-mode-map "X" 'calc-call-last-kbd-macro)
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(define-key calc-mode-map "o" 'calc-realign)
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(define-key calc-mode-map "p" 'calc-precision)
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(define-key calc-mode-map "w" 'calc-why)
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(define-key calc-mode-map "x" 'calc-execute-extended-command)
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(define-key calc-mode-map "y" 'calc-copy-to-buffer)
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(define-key calc-mode-map "(" 'calc-begin-complex)
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(define-key calc-mode-map ")" 'calc-end-complex)
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(define-key calc-mode-map "[" 'calc-begin-vector)
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(define-key calc-mode-map "]" 'calc-end-vector)
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(define-key calc-mode-map "," 'calc-comma)
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(define-key calc-mode-map ";" 'calc-semi)
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(define-key calc-mode-map "`" 'calc-edit)
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(define-key calc-mode-map "=" 'calc-evaluate)
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(define-key calc-mode-map "~" 'calc-num-prefix)
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(define-key calc-mode-map "<" 'calc-scroll-left)
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(define-key calc-mode-map ">" 'calc-scroll-right)
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(define-key calc-mode-map "{" 'calc-scroll-down)
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(define-key calc-mode-map "}" 'calc-scroll-up)
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(define-key calc-mode-map "\C-k" 'calc-kill)
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(define-key calc-mode-map "\M-k" 'calc-copy-as-kill)
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(define-key calc-mode-map "\C-w" 'calc-kill-region)
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(define-key calc-mode-map "\M-w" 'calc-copy-region-as-kill)
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(define-key calc-mode-map "\M-\C-w" 'kill-ring-save)
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(define-key calc-mode-map "\M-\C-m" 'calc-last-args)
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(define-key calc-mode-map "a" nil)
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(define-key calc-mode-map "a?" 'calc-a-prefix-help)
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(define-key calc-mode-map "aa" 'calc-apart)
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(define-key calc-mode-map "ab" 'calc-substitute)
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(define-key calc-mode-map "ac" 'calc-collect)
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(define-key calc-mode-map "ad" 'calc-derivative)
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(define-key calc-mode-map "ae" 'calc-simplify-extended)
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(define-key calc-mode-map "af" 'calc-factor)
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(define-key calc-mode-map "ag" 'calc-poly-gcd)
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(define-key calc-mode-map "ai" 'calc-integral)
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(define-key calc-mode-map "am" 'calc-match)
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(define-key calc-mode-map "an" 'calc-normalize-rat)
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(define-key calc-mode-map "ap" 'calc-poly-interp)
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(define-key calc-mode-map "ar" 'calc-rewrite)
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(define-key calc-mode-map "as" 'calc-simplify)
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(define-key calc-mode-map "at" 'calc-taylor)
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(define-key calc-mode-map "av" 'calc-alg-evaluate)
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(define-key calc-mode-map "ax" 'calc-expand)
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(define-key calc-mode-map "aA" 'calc-abs)
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(define-key calc-mode-map "aF" 'calc-curve-fit)
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(define-key calc-mode-map "aI" 'calc-num-integral)
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(define-key calc-mode-map "aM" 'calc-map-equation)
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(define-key calc-mode-map "aN" 'calc-find-minimum)
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(define-key calc-mode-map "aP" 'calc-poly-roots)
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(define-key calc-mode-map "aS" 'calc-solve-for)
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(define-key calc-mode-map "aR" 'calc-find-root)
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(define-key calc-mode-map "aT" 'calc-tabulate)
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(define-key calc-mode-map "aX" 'calc-find-maximum)
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(define-key calc-mode-map "a+" 'calc-summation)
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(define-key calc-mode-map "a-" 'calc-alt-summation)
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(define-key calc-mode-map "a*" 'calc-product)
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(define-key calc-mode-map "a\\" 'calc-poly-div)
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(define-key calc-mode-map "a%" 'calc-poly-rem)
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(define-key calc-mode-map "a/" 'calc-poly-div-rem)
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(define-key calc-mode-map "a=" 'calc-equal-to)
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(define-key calc-mode-map "a#" 'calc-not-equal-to)
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(define-key calc-mode-map "a<" 'calc-less-than)
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(define-key calc-mode-map "a>" 'calc-greater-than)
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(define-key calc-mode-map "a[" 'calc-less-equal)
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(define-key calc-mode-map "a]" 'calc-greater-equal)
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(define-key calc-mode-map "a." 'calc-remove-equal)
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(define-key calc-mode-map "a{" 'calc-in-set)
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(define-key calc-mode-map "a&" 'calc-logical-and)
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(define-key calc-mode-map "a|" 'calc-logical-or)
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(define-key calc-mode-map "a!" 'calc-logical-not)
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(define-key calc-mode-map "a:" 'calc-logical-if)
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(define-key calc-mode-map "a_" 'calc-subscript)
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(define-key calc-mode-map "a\"" 'calc-expand-formula)
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(define-key calc-mode-map "b" nil)
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(define-key calc-mode-map "b?" 'calc-b-prefix-help)
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(define-key calc-mode-map "ba" 'calc-and)
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(define-key calc-mode-map "bc" 'calc-clip)
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(define-key calc-mode-map "bd" 'calc-diff)
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(define-key calc-mode-map "bl" 'calc-lshift-binary)
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(define-key calc-mode-map "bn" 'calc-not)
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(define-key calc-mode-map "bo" 'calc-or)
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(define-key calc-mode-map "bp" 'calc-pack-bits)
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(define-key calc-mode-map "br" 'calc-rshift-binary)
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(define-key calc-mode-map "bt" 'calc-rotate-binary)
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(define-key calc-mode-map "bu" 'calc-unpack-bits)
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(define-key calc-mode-map "bw" 'calc-word-size)
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(define-key calc-mode-map "bx" 'calc-xor)
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(define-key calc-mode-map "bB" 'calc-log)
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(define-key calc-mode-map "bD" 'calc-fin-ddb)
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(define-key calc-mode-map "bF" 'calc-fin-fv)
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(define-key calc-mode-map "bI" 'calc-fin-irr)
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(define-key calc-mode-map "bL" 'calc-lshift-arith)
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(define-key calc-mode-map "bM" 'calc-fin-pmt)
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(define-key calc-mode-map "bN" 'calc-fin-npv)
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(define-key calc-mode-map "bP" 'calc-fin-pv)
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(define-key calc-mode-map "bR" 'calc-rshift-arith)
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(define-key calc-mode-map "bS" 'calc-fin-sln)
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(define-key calc-mode-map "bT" 'calc-fin-rate)
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(define-key calc-mode-map "bY" 'calc-fin-syd)
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(define-key calc-mode-map "b#" 'calc-fin-nper)
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(define-key calc-mode-map "b%" 'calc-percent-change)
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(define-key calc-mode-map "c" nil)
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(define-key calc-mode-map "c?" 'calc-c-prefix-help)
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(define-key calc-mode-map "cc" 'calc-clean)
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(define-key calc-mode-map "cd" 'calc-to-degrees)
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(define-key calc-mode-map "cf" 'calc-float)
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(define-key calc-mode-map "ch" 'calc-to-hms)
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(define-key calc-mode-map "cp" 'calc-polar)
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(define-key calc-mode-map "cr" 'calc-to-radians)
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(define-key calc-mode-map "cC" 'calc-cos)
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(define-key calc-mode-map "cF" 'calc-fraction)
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(define-key calc-mode-map "c%" 'calc-convert-percent)
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(define-key calc-mode-map "d" nil)
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(define-key calc-mode-map "d?" 'calc-d-prefix-help)
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(define-key calc-mode-map "d0" 'calc-decimal-radix)
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(define-key calc-mode-map "d2" 'calc-binary-radix)
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(define-key calc-mode-map "d6" 'calc-hex-radix)
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(define-key calc-mode-map "d8" 'calc-octal-radix)
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(define-key calc-mode-map "db" 'calc-line-breaking)
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(define-key calc-mode-map "dc" 'calc-complex-notation)
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(define-key calc-mode-map "dd" 'calc-date-notation)
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(define-key calc-mode-map "de" 'calc-eng-notation)
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(define-key calc-mode-map "df" 'calc-fix-notation)
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(define-key calc-mode-map "dg" 'calc-group-digits)
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(define-key calc-mode-map "dh" 'calc-hms-notation)
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(define-key calc-mode-map "di" 'calc-i-notation)
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(define-key calc-mode-map "dj" 'calc-j-notation)
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(define-key calc-mode-map "dl" 'calc-line-numbering)
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(define-key calc-mode-map "dn" 'calc-normal-notation)
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(define-key calc-mode-map "do" 'calc-over-notation)
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(define-key calc-mode-map "dp" 'calc-show-plain)
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(define-key calc-mode-map "dr" 'calc-radix)
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(define-key calc-mode-map "ds" 'calc-sci-notation)
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(define-key calc-mode-map "dt" 'calc-truncate-stack)
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(define-key calc-mode-map "dw" 'calc-auto-why)
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(define-key calc-mode-map "dz" 'calc-leading-zeros)
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(define-key calc-mode-map "dA" 'calc-giac-language)
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(define-key calc-mode-map "dB" 'calc-big-language)
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(define-key calc-mode-map "dD" 'calc-redo)
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(define-key calc-mode-map "dC" 'calc-c-language)
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(define-key calc-mode-map "dE" 'calc-eqn-language)
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(define-key calc-mode-map "dF" 'calc-fortran-language)
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(define-key calc-mode-map "dM" 'calc-mathematica-language)
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(define-key calc-mode-map "dN" 'calc-normal-language)
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(define-key calc-mode-map "dO" 'calc-flat-language)
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(define-key calc-mode-map "dP" 'calc-pascal-language)
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(define-key calc-mode-map "dT" 'calc-tex-language)
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(define-key calc-mode-map "dL" 'calc-latex-language)
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(define-key calc-mode-map "dU" 'calc-unformatted-language)
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(define-key calc-mode-map "dW" 'calc-maple-language)
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(define-key calc-mode-map "dX" 'calc-maxima-language)
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(define-key calc-mode-map "dY" 'calc-yacas-language)
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(define-key calc-mode-map "d[" 'calc-truncate-up)
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(define-key calc-mode-map "d]" 'calc-truncate-down)
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(define-key calc-mode-map "d." 'calc-point-char)
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(define-key calc-mode-map "d," 'calc-group-char)
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(define-key calc-mode-map "d\"" 'calc-display-strings)
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(define-key calc-mode-map "d<" 'calc-left-justify)
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(define-key calc-mode-map "d=" 'calc-center-justify)
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(define-key calc-mode-map "d>" 'calc-right-justify)
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(define-key calc-mode-map "d{" 'calc-left-label)
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(define-key calc-mode-map "d}" 'calc-right-label)
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(define-key calc-mode-map "d'" 'calc-display-raw)
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(define-key calc-mode-map "d " 'calc-refresh)
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(define-key calc-mode-map "d\r" 'calc-refresh-top)
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(define-key calc-mode-map "d@" 'calc-toggle-banner)
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(define-key calc-mode-map "f" nil)
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(define-key calc-mode-map "f?" 'calc-f-prefix-help)
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(define-key calc-mode-map "fb" 'calc-beta)
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(define-key calc-mode-map "fe" 'calc-erf)
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(define-key calc-mode-map "fg" 'calc-gamma)
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(define-key calc-mode-map "fh" 'calc-hypot)
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(define-key calc-mode-map "fi" 'calc-im)
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(define-key calc-mode-map "fj" 'calc-bessel-J)
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(define-key calc-mode-map "fn" 'calc-min)
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(define-key calc-mode-map "fr" 'calc-re)
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(define-key calc-mode-map "fs" 'calc-sign)
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(define-key calc-mode-map "fx" 'calc-max)
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(define-key calc-mode-map "fy" 'calc-bessel-Y)
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(define-key calc-mode-map "fA" 'calc-abssqr)
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(define-key calc-mode-map "fB" 'calc-inc-beta)
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(define-key calc-mode-map "fE" 'calc-expm1)
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(define-key calc-mode-map "fF" 'calc-floor)
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(define-key calc-mode-map "fG" 'calc-inc-gamma)
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(define-key calc-mode-map "fI" 'calc-ilog)
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(define-key calc-mode-map "fL" 'calc-lnp1)
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(define-key calc-mode-map "fM" 'calc-mant-part)
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(define-key calc-mode-map "fQ" 'calc-isqrt)
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(define-key calc-mode-map "fS" 'calc-scale-float)
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(define-key calc-mode-map "fT" 'calc-arctan2)
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(define-key calc-mode-map "fX" 'calc-xpon-part)
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(define-key calc-mode-map "f[" 'calc-decrement)
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(define-key calc-mode-map "f]" 'calc-increment)
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(define-key calc-mode-map "g" nil)
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(define-key calc-mode-map "g?" 'calc-g-prefix-help)
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(define-key calc-mode-map "ga" 'calc-graph-add)
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(define-key calc-mode-map "gb" 'calc-graph-border)
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(define-key calc-mode-map "gc" 'calc-graph-clear)
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(define-key calc-mode-map "gd" 'calc-graph-delete)
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(define-key calc-mode-map "gf" 'calc-graph-fast)
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(define-key calc-mode-map "gg" 'calc-graph-grid)
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(define-key calc-mode-map "gh" 'calc-graph-header)
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(define-key calc-mode-map "gk" 'calc-graph-key)
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(define-key calc-mode-map "gj" 'calc-graph-juggle)
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(define-key calc-mode-map "gl" 'calc-graph-log-x)
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(define-key calc-mode-map "gn" 'calc-graph-name)
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(define-key calc-mode-map "gp" 'calc-graph-plot)
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(define-key calc-mode-map "gq" 'calc-graph-quit)
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(define-key calc-mode-map "gr" 'calc-graph-range-x)
|
||
(define-key calc-mode-map "gs" 'calc-graph-line-style)
|
||
(define-key calc-mode-map "gt" 'calc-graph-title-x)
|
||
(define-key calc-mode-map "gv" 'calc-graph-view-commands)
|
||
(define-key calc-mode-map "gx" 'calc-graph-display)
|
||
(define-key calc-mode-map "gz" 'calc-graph-zero-x)
|
||
(define-key calc-mode-map "gA" 'calc-graph-add-3d)
|
||
(define-key calc-mode-map "gC" 'calc-graph-command)
|
||
(define-key calc-mode-map "gD" 'calc-graph-device)
|
||
(define-key calc-mode-map "gF" 'calc-graph-fast-3d)
|
||
(define-key calc-mode-map "gG" 'calc-argument)
|
||
(define-key calc-mode-map "gH" 'calc-graph-hide)
|
||
(define-key calc-mode-map "gK" 'calc-graph-kill)
|
||
(define-key calc-mode-map "gL" 'calc-graph-log-y)
|
||
(define-key calc-mode-map "gN" 'calc-graph-num-points)
|
||
(define-key calc-mode-map "gO" 'calc-graph-output)
|
||
(define-key calc-mode-map "gP" 'calc-graph-print)
|
||
(define-key calc-mode-map "gR" 'calc-graph-range-y)
|
||
(define-key calc-mode-map "gS" 'calc-graph-point-style)
|
||
(define-key calc-mode-map "gT" 'calc-graph-title-y)
|
||
(define-key calc-mode-map "gV" 'calc-graph-view-trail)
|
||
(define-key calc-mode-map "gX" 'calc-graph-geometry)
|
||
(define-key calc-mode-map "gZ" 'calc-graph-zero-y)
|
||
(define-key calc-mode-map "g\C-l" 'calc-graph-log-z)
|
||
(define-key calc-mode-map "g\C-r" 'calc-graph-range-z)
|
||
(define-key calc-mode-map "g\C-t" 'calc-graph-title-z)
|
||
|
||
(define-key calc-mode-map "h" 'calc-help-prefix)
|
||
|
||
(define-key calc-mode-map "j" nil)
|
||
(define-key calc-mode-map "j?" 'calc-j-prefix-help)
|
||
(define-key calc-mode-map "ja" 'calc-select-additional)
|
||
(define-key calc-mode-map "jb" 'calc-break-selections)
|
||
(define-key calc-mode-map "jc" 'calc-clear-selections)
|
||
(define-key calc-mode-map "jd" 'calc-show-selections)
|
||
(define-key calc-mode-map "je" 'calc-enable-selections)
|
||
(define-key calc-mode-map "jl" 'calc-select-less)
|
||
(define-key calc-mode-map "jm" 'calc-select-more)
|
||
(define-key calc-mode-map "jn" 'calc-select-next)
|
||
(define-key calc-mode-map "jo" 'calc-select-once)
|
||
(define-key calc-mode-map "jp" 'calc-select-previous)
|
||
(define-key calc-mode-map "jr" 'calc-rewrite-selection)
|
||
(define-key calc-mode-map "js" 'calc-select-here)
|
||
(define-key calc-mode-map "jv" 'calc-sel-evaluate)
|
||
(define-key calc-mode-map "ju" 'calc-unselect)
|
||
(define-key calc-mode-map "jC" 'calc-sel-commute)
|
||
(define-key calc-mode-map "jD" 'calc-sel-distribute)
|
||
(define-key calc-mode-map "jE" 'calc-sel-jump-equals)
|
||
(define-key calc-mode-map "jI" 'calc-sel-isolate)
|
||
(define-key calc-mode-map "jJ" 'calc-conj)
|
||
(define-key calc-mode-map "jL" 'calc-commute-left)
|
||
(define-key calc-mode-map "jM" 'calc-sel-merge)
|
||
(define-key calc-mode-map "jN" 'calc-sel-negate)
|
||
(define-key calc-mode-map "jO" 'calc-select-once-maybe)
|
||
(define-key calc-mode-map "jR" 'calc-commute-right)
|
||
(define-key calc-mode-map "jS" 'calc-select-here-maybe)
|
||
(define-key calc-mode-map "jU" 'calc-sel-unpack)
|
||
(define-key calc-mode-map "j&" 'calc-sel-invert)
|
||
(define-key calc-mode-map "j\r" 'calc-copy-selection)
|
||
(define-key calc-mode-map "j\n" 'calc-copy-selection)
|
||
(define-key calc-mode-map "j\010" 'calc-del-selection)
|
||
(define-key calc-mode-map "j\177" 'calc-del-selection)
|
||
(define-key calc-mode-map "j'" 'calc-enter-selection)
|
||
(define-key calc-mode-map "j`" 'calc-edit-selection)
|
||
(define-key calc-mode-map "j+" 'calc-sel-add-both-sides)
|
||
(define-key calc-mode-map "j-" 'calc-sel-sub-both-sides)
|
||
(define-key calc-mode-map "j*" 'calc-sel-mult-both-sides)
|
||
(define-key calc-mode-map "j/" 'calc-sel-div-both-sides)
|
||
(define-key calc-mode-map "j\"" 'calc-sel-expand-formula)
|
||
|
||
(define-key calc-mode-map "k" nil)
|
||
(define-key calc-mode-map "k?" 'calc-k-prefix-help)
|
||
(define-key calc-mode-map "ka" 'calc-random-again)
|
||
(define-key calc-mode-map "kb" 'calc-bernoulli-number)
|
||
(define-key calc-mode-map "kc" 'calc-choose)
|
||
(define-key calc-mode-map "kd" 'calc-double-factorial)
|
||
(define-key calc-mode-map "ke" 'calc-euler-number)
|
||
(define-key calc-mode-map "kf" 'calc-prime-factors)
|
||
(define-key calc-mode-map "kg" 'calc-gcd)
|
||
(define-key calc-mode-map "kh" 'calc-shuffle)
|
||
(define-key calc-mode-map "kl" 'calc-lcm)
|
||
(define-key calc-mode-map "km" 'calc-moebius)
|
||
(define-key calc-mode-map "kn" 'calc-next-prime)
|
||
(define-key calc-mode-map "kp" 'calc-prime-test)
|
||
(define-key calc-mode-map "kr" 'calc-random)
|
||
(define-key calc-mode-map "ks" 'calc-stirling-number)
|
||
(define-key calc-mode-map "kt" 'calc-totient)
|
||
(define-key calc-mode-map "kB" 'calc-utpb)
|
||
(define-key calc-mode-map "kC" 'calc-utpc)
|
||
(define-key calc-mode-map "kE" 'calc-extended-gcd)
|
||
(define-key calc-mode-map "kF" 'calc-utpf)
|
||
(define-key calc-mode-map "kK" 'calc-keep-args)
|
||
(define-key calc-mode-map "kN" 'calc-utpn)
|
||
(define-key calc-mode-map "kP" 'calc-utpp)
|
||
(define-key calc-mode-map "kT" 'calc-utpt)
|
||
|
||
(define-key calc-mode-map "l" nil)
|
||
(define-key calc-mode-map "lq" 'calc-lu-quant)
|
||
(define-key calc-mode-map "ld" 'calc-db)
|
||
(define-key calc-mode-map "ln" 'calc-np)
|
||
(define-key calc-mode-map "l+" 'calc-lu-plus)
|
||
(define-key calc-mode-map "l-" 'calc-lu-minus)
|
||
(define-key calc-mode-map "l*" 'calc-lu-times)
|
||
(define-key calc-mode-map "l/" 'calc-lu-divide)
|
||
(define-key calc-mode-map "ls" 'calc-spn)
|
||
(define-key calc-mode-map "lm" 'calc-midi)
|
||
(define-key calc-mode-map "lf" 'calc-freq)
|
||
|
||
(define-key calc-mode-map "l?" 'calc-l-prefix-help)
|
||
|
||
(define-key calc-mode-map "m" nil)
|
||
(define-key calc-mode-map "m?" 'calc-m-prefix-help)
|
||
(define-key calc-mode-map "ma" 'calc-algebraic-mode)
|
||
(define-key calc-mode-map "md" 'calc-degrees-mode)
|
||
(define-key calc-mode-map "me" 'calc-embedded-preserve-modes)
|
||
(define-key calc-mode-map "mf" 'calc-frac-mode)
|
||
(define-key calc-mode-map "mg" 'calc-get-modes)
|
||
(define-key calc-mode-map "mh" 'calc-hms-mode)
|
||
(define-key calc-mode-map "mi" 'calc-infinite-mode)
|
||
(define-key calc-mode-map "mm" 'calc-save-modes)
|
||
(define-key calc-mode-map "mp" 'calc-polar-mode)
|
||
(define-key calc-mode-map "mr" 'calc-radians-mode)
|
||
(define-key calc-mode-map "ms" 'calc-symbolic-mode)
|
||
(define-key calc-mode-map "mt" 'calc-total-algebraic-mode)
|
||
(define-key calc-mode-map "\emt" 'calc-total-algebraic-mode)
|
||
(define-key calc-mode-map "\em\et" 'calc-total-algebraic-mode)
|
||
(define-key calc-mode-map "mv" 'calc-matrix-mode)
|
||
(define-key calc-mode-map "mw" 'calc-working)
|
||
(define-key calc-mode-map "mx" 'calc-always-load-extensions)
|
||
(define-key calc-mode-map "mA" 'calc-alg-simplify-mode)
|
||
(define-key calc-mode-map "mB" 'calc-bin-simplify-mode)
|
||
(define-key calc-mode-map "mC" 'calc-auto-recompute)
|
||
(define-key calc-mode-map "mD" 'calc-default-simplify-mode)
|
||
(define-key calc-mode-map "mE" 'calc-ext-simplify-mode)
|
||
(define-key calc-mode-map "mF" 'calc-settings-file-name)
|
||
(define-key calc-mode-map "mI" 'calc-basic-simplify-mode)
|
||
(define-key calc-mode-map "mM" 'calc-more-recursion-depth)
|
||
(define-key calc-mode-map "mN" 'calc-num-simplify-mode)
|
||
(define-key calc-mode-map "mO" 'calc-no-simplify-mode)
|
||
(define-key calc-mode-map "mR" 'calc-mode-record-mode)
|
||
(define-key calc-mode-map "mS" 'calc-shift-prefix)
|
||
(define-key calc-mode-map "mU" 'calc-units-simplify-mode)
|
||
(define-key calc-mode-map "mX" 'calc-load-everything)
|
||
|
||
(define-key calc-mode-map "r" nil)
|
||
(define-key calc-mode-map "ri" 'calc-insert-register)
|
||
(define-key calc-mode-map "rs" 'calc-copy-to-register)
|
||
(define-key calc-mode-map "r?" 'calc-r-prefix-help)
|
||
|
||
(define-key calc-mode-map "s" nil)
|
||
(define-key calc-mode-map "s?" 'calc-s-prefix-help)
|
||
(define-key calc-mode-map "sc" 'calc-copy-variable)
|
||
(define-key calc-mode-map "sd" 'calc-declare-variable)
|
||
(define-key calc-mode-map "se" 'calc-edit-variable)
|
||
(define-key calc-mode-map "si" 'calc-insert-variables)
|
||
(define-key calc-mode-map "sk" 'calc-copy-special-constant)
|
||
(define-key calc-mode-map "sl" 'calc-let)
|
||
(define-key calc-mode-map "sm" 'calc-store-map)
|
||
(define-key calc-mode-map "sn" 'calc-store-neg)
|
||
(define-key calc-mode-map "sp" 'calc-permanent-variable)
|
||
(define-key calc-mode-map "sr" 'calc-recall)
|
||
(define-key calc-mode-map "ss" 'calc-store)
|
||
(define-key calc-mode-map "st" 'calc-store-into)
|
||
(define-key calc-mode-map "su" 'calc-unstore)
|
||
(define-key calc-mode-map "sx" 'calc-store-exchange)
|
||
(define-key calc-mode-map "sA" 'calc-edit-AlgSimpRules)
|
||
(define-key calc-mode-map "sD" 'calc-edit-Decls)
|
||
(define-key calc-mode-map "sE" 'calc-edit-EvalRules)
|
||
(define-key calc-mode-map "sF" 'calc-edit-FitRules)
|
||
(define-key calc-mode-map "sG" 'calc-edit-GenCount)
|
||
(define-key calc-mode-map "sH" 'calc-edit-Holidays)
|
||
(define-key calc-mode-map "sI" 'calc-edit-IntegLimit)
|
||
(define-key calc-mode-map "sL" 'calc-edit-LineStyles)
|
||
(define-key calc-mode-map "sP" 'calc-edit-PointStyles)
|
||
(define-key calc-mode-map "sR" 'calc-edit-PlotRejects)
|
||
(define-key calc-mode-map "sS" 'calc-sin)
|
||
(define-key calc-mode-map "sT" 'calc-edit-TimeZone)
|
||
(define-key calc-mode-map "sU" 'calc-edit-Units)
|
||
(define-key calc-mode-map "sX" 'calc-edit-ExtSimpRules)
|
||
(define-key calc-mode-map "s+" 'calc-store-plus)
|
||
(define-key calc-mode-map "s-" 'calc-store-minus)
|
||
(define-key calc-mode-map "s*" 'calc-store-times)
|
||
(define-key calc-mode-map "s/" 'calc-store-div)
|
||
(define-key calc-mode-map "s^" 'calc-store-power)
|
||
(define-key calc-mode-map "s|" 'calc-store-concat)
|
||
(define-key calc-mode-map "s&" 'calc-store-inv)
|
||
(define-key calc-mode-map "s[" 'calc-store-decr)
|
||
(define-key calc-mode-map "s]" 'calc-store-incr)
|
||
(define-key calc-mode-map "s:" 'calc-assign)
|
||
(define-key calc-mode-map "s=" 'calc-evalto)
|
||
|
||
(define-key calc-mode-map "t" nil)
|
||
(define-key calc-mode-map "t?" 'calc-t-prefix-help)
|
||
(define-key calc-mode-map "tb" 'calc-trail-backward)
|
||
(define-key calc-mode-map "td" 'calc-trail-display)
|
||
(define-key calc-mode-map "tf" 'calc-trail-forward)
|
||
(define-key calc-mode-map "th" 'calc-trail-here)
|
||
(define-key calc-mode-map "ti" 'calc-trail-in)
|
||
(define-key calc-mode-map "tk" 'calc-trail-kill)
|
||
(define-key calc-mode-map "tm" 'calc-trail-marker)
|
||
(define-key calc-mode-map "tn" 'calc-trail-next)
|
||
(define-key calc-mode-map "to" 'calc-trail-out)
|
||
(define-key calc-mode-map "tp" 'calc-trail-previous)
|
||
(define-key calc-mode-map "tr" 'calc-trail-isearch-backward)
|
||
(define-key calc-mode-map "ts" 'calc-trail-isearch-forward)
|
||
(define-key calc-mode-map "ty" 'calc-trail-yank)
|
||
(define-key calc-mode-map "t[" 'calc-trail-first)
|
||
(define-key calc-mode-map "t]" 'calc-trail-last)
|
||
(define-key calc-mode-map "t<" 'calc-trail-scroll-left)
|
||
(define-key calc-mode-map "t>" 'calc-trail-scroll-right)
|
||
(define-key calc-mode-map "t{" 'calc-trail-backward)
|
||
(define-key calc-mode-map "t}" 'calc-trail-forward)
|
||
(define-key calc-mode-map "t." 'calc-full-trail-vectors)
|
||
(define-key calc-mode-map "tC" 'calc-convert-time-zones)
|
||
(define-key calc-mode-map "tD" 'calc-date)
|
||
(define-key calc-mode-map "tI" 'calc-inc-month)
|
||
(define-key calc-mode-map "tJ" 'calc-julian)
|
||
(define-key calc-mode-map "tM" 'calc-new-month)
|
||
(define-key calc-mode-map "tN" 'calc-now)
|
||
(define-key calc-mode-map "tP" 'calc-date-part)
|
||
(define-key calc-mode-map "tT" 'calc-tan)
|
||
(define-key calc-mode-map "tU" 'calc-unix-time)
|
||
(define-key calc-mode-map "tW" 'calc-new-week)
|
||
(define-key calc-mode-map "tY" 'calc-new-year)
|
||
(define-key calc-mode-map "tZ" 'calc-time-zone)
|
||
(define-key calc-mode-map "t+" 'calc-business-days-plus)
|
||
(define-key calc-mode-map "t-" 'calc-business-days-minus)
|
||
|
||
(define-key calc-mode-map "u" 'nil)
|
||
(define-key calc-mode-map "u?" 'calc-u-prefix-help)
|
||
(define-key calc-mode-map "ua" 'calc-autorange-units)
|
||
(define-key calc-mode-map "ub" 'calc-base-units)
|
||
(define-key calc-mode-map "uc" 'calc-convert-units)
|
||
(define-key calc-mode-map "ud" 'calc-define-unit)
|
||
(define-key calc-mode-map "ue" 'calc-explain-units)
|
||
(define-key calc-mode-map "ug" 'calc-get-unit-definition)
|
||
(define-key calc-mode-map "un" 'calc-convert-exact-units)
|
||
(define-key calc-mode-map "up" 'calc-permanent-units)
|
||
(define-key calc-mode-map "ur" 'calc-remove-units)
|
||
(define-key calc-mode-map "us" 'calc-simplify-units)
|
||
(define-key calc-mode-map "ut" 'calc-convert-temperature)
|
||
(define-key calc-mode-map "uu" 'calc-undefine-unit)
|
||
(define-key calc-mode-map "uv" 'calc-enter-units-table)
|
||
(define-key calc-mode-map "ux" 'calc-extract-units)
|
||
(define-key calc-mode-map "uV" 'calc-view-units-table)
|
||
(define-key calc-mode-map "uC" 'calc-vector-covariance)
|
||
(define-key calc-mode-map "uG" 'calc-vector-geometric-mean)
|
||
(define-key calc-mode-map "uM" 'calc-vector-mean)
|
||
(define-key calc-mode-map "uN" 'calc-vector-min)
|
||
(define-key calc-mode-map "uR" 'calc-vector-rms)
|
||
(define-key calc-mode-map "uS" 'calc-vector-sdev)
|
||
(define-key calc-mode-map "uU" 'calc-undo)
|
||
(define-key calc-mode-map "uX" 'calc-vector-max)
|
||
(define-key calc-mode-map "u#" 'calc-vector-count)
|
||
(define-key calc-mode-map "u+" 'calc-vector-sum)
|
||
(define-key calc-mode-map "u*" 'calc-vector-product)
|
||
|
||
(define-key calc-mode-map "v" 'nil)
|
||
(define-key calc-mode-map "v?" 'calc-v-prefix-help)
|
||
(define-key calc-mode-map "va" 'calc-arrange-vector)
|
||
(define-key calc-mode-map "vb" 'calc-build-vector)
|
||
(define-key calc-mode-map "vc" 'calc-mcol)
|
||
(define-key calc-mode-map "vd" 'calc-diag)
|
||
(define-key calc-mode-map "ve" 'calc-expand-vector)
|
||
(define-key calc-mode-map "vf" 'calc-vector-find)
|
||
(define-key calc-mode-map "vh" 'calc-head)
|
||
(define-key calc-mode-map "vi" 'calc-ident)
|
||
(define-key calc-mode-map "vk" 'calc-cons)
|
||
(define-key calc-mode-map "vl" 'calc-vlength)
|
||
(define-key calc-mode-map "vm" 'calc-mask-vector)
|
||
(define-key calc-mode-map "vn" 'calc-rnorm)
|
||
(define-key calc-mode-map "vp" 'calc-pack)
|
||
(define-key calc-mode-map "vr" 'calc-mrow)
|
||
(define-key calc-mode-map "vs" 'calc-subvector)
|
||
(define-key calc-mode-map "vt" 'calc-transpose)
|
||
(define-key calc-mode-map "vu" 'calc-unpack)
|
||
(define-key calc-mode-map "vv" 'calc-reverse-vector)
|
||
(define-key calc-mode-map "vx" 'calc-index)
|
||
(define-key calc-mode-map "vA" 'calc-apply)
|
||
(define-key calc-mode-map "vC" 'calc-cross)
|
||
(define-key calc-mode-map "vK" 'calc-kron)
|
||
(define-key calc-mode-map "vD" 'calc-mdet)
|
||
(define-key calc-mode-map "vE" 'calc-set-enumerate)
|
||
(define-key calc-mode-map "vF" 'calc-set-floor)
|
||
(define-key calc-mode-map "vG" 'calc-grade)
|
||
(define-key calc-mode-map "vH" 'calc-histogram)
|
||
(define-key calc-mode-map "vI" 'calc-inner-product)
|
||
(define-key calc-mode-map "vJ" 'calc-conj-transpose)
|
||
(define-key calc-mode-map "vL" 'calc-mlud)
|
||
(define-key calc-mode-map "vM" 'calc-map)
|
||
(define-key calc-mode-map "vN" 'calc-cnorm)
|
||
(define-key calc-mode-map "vO" 'calc-outer-product)
|
||
(define-key calc-mode-map "vR" 'calc-reduce)
|
||
(define-key calc-mode-map "vS" 'calc-sort)
|
||
(define-key calc-mode-map "vT" 'calc-mtrace)
|
||
(define-key calc-mode-map "vU" 'calc-accumulate)
|
||
(define-key calc-mode-map "vV" 'calc-set-union)
|
||
(define-key calc-mode-map "vX" 'calc-set-xor)
|
||
(define-key calc-mode-map "v^" 'calc-set-intersect)
|
||
(define-key calc-mode-map "v-" 'calc-set-difference)
|
||
(define-key calc-mode-map "v~" 'calc-set-complement)
|
||
(define-key calc-mode-map "v:" 'calc-set-span)
|
||
(define-key calc-mode-map "v#" 'calc-set-cardinality)
|
||
(define-key calc-mode-map "v+" 'calc-remove-duplicates)
|
||
(define-key calc-mode-map "v&" 'calc-inv)
|
||
(define-key calc-mode-map "v<" 'calc-matrix-left-justify)
|
||
(define-key calc-mode-map "v=" 'calc-matrix-center-justify)
|
||
(define-key calc-mode-map "v>" 'calc-matrix-right-justify)
|
||
(define-key calc-mode-map "v." 'calc-full-vectors)
|
||
(define-key calc-mode-map "v/" 'calc-break-vectors)
|
||
(define-key calc-mode-map "v," 'calc-vector-commas)
|
||
(define-key calc-mode-map "v[" 'calc-vector-brackets)
|
||
(define-key calc-mode-map "v]" 'calc-matrix-brackets)
|
||
(define-key calc-mode-map "v{" 'calc-vector-braces)
|
||
(define-key calc-mode-map "v}" 'calc-matrix-brackets)
|
||
(define-key calc-mode-map "v(" 'calc-vector-parens)
|
||
(define-key calc-mode-map "v)" 'calc-matrix-brackets)
|
||
;; We can't rely on the automatic upper->lower conversion because
|
||
;; in the global map V is explicitly bound, so we need to bind it
|
||
;; explicitly as well :-( --stef
|
||
(define-key calc-mode-map "V" (lookup-key calc-mode-map "v"))
|
||
|
||
(define-key calc-mode-map "z" 'nil)
|
||
(define-key calc-mode-map "z?" 'calc-z-prefix-help)
|
||
|
||
(define-key calc-mode-map "Z" 'nil)
|
||
(define-key calc-mode-map "Z?" 'calc-shift-Z-prefix-help)
|
||
(define-key calc-mode-map "ZC" 'calc-user-define-composition)
|
||
(define-key calc-mode-map "ZD" 'calc-user-define)
|
||
(define-key calc-mode-map "ZE" 'calc-user-define-edit)
|
||
(define-key calc-mode-map "ZF" 'calc-user-define-formula)
|
||
(define-key calc-mode-map "ZG" 'calc-get-user-defn)
|
||
(define-key calc-mode-map "ZI" 'calc-user-define-invocation)
|
||
(define-key calc-mode-map "ZK" 'calc-user-define-kbd-macro)
|
||
(define-key calc-mode-map "ZP" 'calc-user-define-permanent)
|
||
(define-key calc-mode-map "ZS" 'calc-edit-user-syntax)
|
||
(define-key calc-mode-map "ZT" 'calc-timing)
|
||
(define-key calc-mode-map "ZU" 'calc-user-undefine)
|
||
(define-key calc-mode-map "Z[" 'calc-kbd-if)
|
||
(define-key calc-mode-map "Z:" 'calc-kbd-else)
|
||
(define-key calc-mode-map "Z|" 'calc-kbd-else-if)
|
||
(define-key calc-mode-map "Z]" 'calc-kbd-end-if)
|
||
(define-key calc-mode-map "Z<" 'calc-kbd-repeat)
|
||
(define-key calc-mode-map "Z>" 'calc-kbd-end-repeat)
|
||
(define-key calc-mode-map "Z(" 'calc-kbd-for)
|
||
(define-key calc-mode-map "Z)" 'calc-kbd-end-for)
|
||
(define-key calc-mode-map "Z{" 'calc-kbd-loop)
|
||
(define-key calc-mode-map "Z}" 'calc-kbd-end-loop)
|
||
(define-key calc-mode-map "Z/" 'calc-kbd-break)
|
||
(define-key calc-mode-map "Z`" 'calc-kbd-push)
|
||
(define-key calc-mode-map "Z'" 'calc-kbd-pop)
|
||
(define-key calc-mode-map "Z#" 'calc-kbd-query)
|
||
|
||
(calc-init-prefixes)
|
||
|
||
(mapc (lambda (x)
|
||
(define-key calc-mode-map (format "c%c" x) 'calc-clean-num)
|
||
(define-key calc-mode-map (format "j%c" x) 'calc-select-part)
|
||
(define-key calc-mode-map (format "r%c" x) 'calc-recall-quick)
|
||
(define-key calc-mode-map (format "s%c" x) 'calc-store-quick)
|
||
(define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick)
|
||
(define-key calc-mode-map (format "u%c" x) 'calc-quick-units))
|
||
"0123456789")
|
||
|
||
(let ((i ?A))
|
||
(while (<= i ?z)
|
||
(if (eq (car-safe (aref (nth 1 calc-mode-map) i)) 'keymap)
|
||
(aset (nth 1 calc-mode-map) i
|
||
(cons 'keymap (cons (cons ?\e (aref (nth 1 calc-mode-map) i))
|
||
(cdr (aref (nth 1 calc-mode-map) i))))))
|
||
(setq i (1+ i))))
|
||
|
||
(setq calc-alg-map (copy-keymap calc-mode-map)
|
||
calc-alg-esc-map (copy-keymap esc-map))
|
||
(let ((i 32))
|
||
(while (< i 127)
|
||
(or (memq i '(?' ?` ?= ??))
|
||
(aset (nth 1 calc-alg-map) i 'calc-auto-algebraic-entry))
|
||
(or (memq i '(?# ?x ?0 ?1 ?2 ?3 ?4 ?5 ?6 ?7 ?8 ?9))
|
||
(aset (nth 1 calc-alg-esc-map) i (aref (nth 1 calc-mode-map) i)))
|
||
(setq i (1+ i))))
|
||
(define-key calc-alg-map "\e" calc-alg-esc-map)
|
||
(define-key calc-alg-map "\e\t" 'calc-roll-up)
|
||
(define-key calc-alg-map "\e\C-m" 'calc-last-args-stub)
|
||
(define-key calc-alg-map "\e\177" 'calc-pop-above)
|
||
|
||
;;;; (Autoloads here)
|
||
(mapc (lambda (x)
|
||
(mapcar (lambda (func) (autoload func (car x)))
|
||
(cdr x)))
|
||
'(
|
||
|
||
("calc-alg" calc-has-rules math-defsimplify
|
||
calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
|
||
calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
|
||
calcFunc-simplify calcFunc-subst calcFunc-powerexpand math-beforep
|
||
math-build-polynomial-expr math-expand-formula math-expr-contains
|
||
math-expr-contains-count math-expr-depends math-expr-height
|
||
math-expr-subst math-expr-weight math-integer-plus math-is-linear
|
||
math-is-multiple math-is-polynomial math-linear-in math-multiple-of
|
||
math-poly-depends math-poly-mix math-poly-mul
|
||
math-poly-simplify math-poly-zerop math-polynomial-base
|
||
math-polynomial-p math-recompile-eval-rules math-simplify
|
||
math-simplify-exp math-simplify-extended math-simplify-sqrt
|
||
math-to-simple-fraction)
|
||
|
||
("calcalg2" calcFunc-asum calcFunc-deriv
|
||
calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly
|
||
calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots
|
||
calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor
|
||
calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12
|
||
math-integral-rational-funcs math-lcm-denoms math-looks-evenp
|
||
math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn
|
||
math-solve-for math-sum-rec math-try-integral)
|
||
|
||
("calcalg3" calcFunc-efit calcFunc-fit
|
||
calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar
|
||
calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize
|
||
calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint
|
||
calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot
|
||
calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate
|
||
math-ninteg-midpoint math-ninteg-romberg math-poly-interp)
|
||
|
||
("calc-arith" calcFunc-abs calcFunc-abssqr
|
||
calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag
|
||
calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg
|
||
calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd
|
||
calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
|
||
calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
|
||
calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
|
||
calcFunc-idiv calcFunc-incr calcFunc-ldiv calcFunc-mant calcFunc-max calcFunc-min
|
||
calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
|
||
calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
|
||
calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
|
||
math-add-objects-fancy math-add-or-sub math-add-symb-fancy
|
||
math-ceiling math-combine-prod math-combine-sum math-div-by-zero
|
||
math-div-objects-fancy math-div-symb-fancy math-div-zero
|
||
math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg
|
||
math-intv-constp math-known-evenp math-known-imagp math-known-integerp
|
||
math-known-matrixp math-known-negp math-known-nonnegp
|
||
math-known-nonposp math-known-nonzerop math-known-num-integerp
|
||
math-known-oddp math-known-posp math-known-realp math-known-scalarp
|
||
math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy
|
||
math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy
|
||
math-neg-float math-okay-neg math-possible-signs math-possible-types
|
||
math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero
|
||
math-quarter-integer math-round math-setup-declarations math-sqr
|
||
math-sqr-float math-trunc-fancy math-trunc-special)
|
||
|
||
("calc-bin" calcFunc-and calcFunc-ash
|
||
calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or
|
||
calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip
|
||
math-compute-max-digits math-convert-radix-digits math-float-parts
|
||
math-format-binary
|
||
math-format-radix math-format-radix-float math-integer-log2
|
||
math-power-of-2 math-radix-float-power)
|
||
|
||
("calc-comb" calc-report-prime-test
|
||
calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact
|
||
calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime
|
||
calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime
|
||
calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2
|
||
calcFunc-totient math-init-random-base math-member math-prime-test
|
||
math-random-base)
|
||
|
||
("calccomp" calcFunc-cascent calcFunc-cdescent
|
||
calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent
|
||
math-comp-height math-comp-width math-compose-expr
|
||
math-composition-to-string math-stack-value-offset-fancy
|
||
math-vector-is-string math-vector-to-string)
|
||
|
||
("calc-cplx" calcFunc-arg calcFunc-conj
|
||
calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex
|
||
math-fix-circular math-imaginary math-imaginary-i math-normalize-polar
|
||
math-polar math-want-polar)
|
||
|
||
("calc-embed" calc-do-embedded
|
||
calc-do-embedded-activate calc-embedded-evaluate-expr
|
||
calc-embedded-modes-change calc-embedded-var-change
|
||
calc-embedded-preserve-modes)
|
||
|
||
("calc-fin" calc-to-percentage calcFunc-ddb
|
||
calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb
|
||
calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb
|
||
calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl
|
||
calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd)
|
||
|
||
("calc-forms" calcFunc-badd calcFunc-bsub
|
||
calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms
|
||
calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear
|
||
calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute
|
||
calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear
|
||
calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second
|
||
calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime
|
||
calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals
|
||
math-date-parts math-date-to-dt math-div-mod math-dt-to-date
|
||
math-format-date math-from-business-day math-from-hms math-make-intv
|
||
math-make-mod math-make-sdev math-mod-intv math-normalize-hms
|
||
math-normalize-mod math-parse-date math-read-angle-brackets
|
||
math-setup-add-holidays math-setup-holidays math-setup-year-holidays
|
||
math-sort-intv math-to-business-day math-to-hms)
|
||
|
||
("calc-frac" calc-add-fractions
|
||
calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac
|
||
math-make-frac)
|
||
|
||
("calc-funcs" calc-prob-dist calcFunc-bern
|
||
calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB
|
||
calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler
|
||
calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ
|
||
calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf
|
||
calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc
|
||
calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt
|
||
math-bernoulli-number math-gammap1-raw)
|
||
|
||
("calc-graph" calc-graph-show-tty)
|
||
|
||
("calc-incom" calc-digit-dots)
|
||
|
||
("calc-keypd" calc-do-keypad
|
||
calc-keypad-left-click calc-keypad-middle-click
|
||
calc-keypad-right-click)
|
||
|
||
("calc-lang" calc-set-language
|
||
math-read-big-balance math-read-big-rec)
|
||
|
||
("calc-map" calc-get-operator calcFunc-accum
|
||
calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call
|
||
calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc
|
||
calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr
|
||
calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum
|
||
calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced
|
||
calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec
|
||
calcFunc-rreduced calcFunc-rreducer math-build-call
|
||
math-calcFunc-to-var math-multi-subst math-multi-subst-rec
|
||
math-var-to-calcFunc)
|
||
|
||
("calc-mtx" calcFunc-det calcFunc-lud calcFunc-tr
|
||
math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud
|
||
math-mul-mat-vec math-mul-mats math-row-matrix)
|
||
|
||
("calc-math" calcFunc-alog calcFunc-arccos
|
||
calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh
|
||
calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-csc
|
||
calcFunc-csch calcFunc-cos calcFunc-cosh calcFunc-cot calcFunc-coth
|
||
calcFunc-deg calcFunc-exp calcFunc-exp10 calcFunc-expm1
|
||
calcFunc-hypot calcFunc-ilog calcFunc-isqrt calcFunc-ln calcFunc-lnp1
|
||
calcFunc-log calcFunc-log10 calcFunc-nroot calcFunc-rad calcFunc-sec
|
||
calcFunc-sech calcFunc-sin
|
||
calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan
|
||
calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw
|
||
math-arctan2-raw math-cos-raw math-cot-raw math-csc-raw
|
||
math-exp-minus-1-raw math-exp-raw
|
||
math-from-radians math-from-radians-2 math-hypot math-infinite-dir
|
||
math-ln-raw math-nearly-equal math-nearly-equal-float
|
||
math-nearly-zerop math-nearly-zerop-float math-nth-root
|
||
math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw
|
||
math-tan-raw math-to-radians math-to-radians-2)
|
||
|
||
("calc-mode" math-get-modes-vec)
|
||
|
||
("calc-poly" calcFunc-apart calcFunc-expand
|
||
calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat
|
||
calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide
|
||
calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim
|
||
calcFunc-prem math-accum-factors math-atomic-factorp
|
||
math-div-poly-const math-div-thru math-expand-power math-expand-term
|
||
math-factor-contains math-factor-expr
|
||
math-factor-finish
|
||
math-factor-protect math-mul-thru math-padded-polynomial
|
||
math-partial-fractions math-poly-degree math-poly-deriv-coefs
|
||
math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p
|
||
math-to-ratpoly math-to-ratpoly-rec)
|
||
|
||
("calc-prog" calc-default-formula-arglist
|
||
calc-execute-kbd-macro calc-finish-user-syntax-edit
|
||
calc-fix-token-name calc-fix-user-formula calc-read-parse-table
|
||
calc-read-parse-table-part calc-subsetp calc-write-parse-table
|
||
calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq
|
||
calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue
|
||
calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt
|
||
calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real
|
||
calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable
|
||
math-body-refers-to math-break math-composite-inequalities
|
||
math-do-defmath math-handle-for math-handle-foreach
|
||
math-normalize-logical-op math-return)
|
||
|
||
("calc-rewr" calcFunc-match calcFunc-matches
|
||
calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches
|
||
math-apply-rewrites math-compile-patterns math-compile-rewrites
|
||
math-flatten-lands math-match-patterns math-rewrite
|
||
math-rewrite-heads)
|
||
|
||
("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules
|
||
calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules
|
||
calc-MergeRules calc-NegateRules
|
||
calc-compile-rule-set)
|
||
|
||
("calc-sel" calc-auto-selection
|
||
calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula
|
||
calc-find-parent-formula calc-find-sub-formula calc-prepare-selection
|
||
calc-preserve-point calc-replace-selections calc-replace-sub-formula
|
||
calc-roll-down-with-selections calc-roll-up-with-selections
|
||
calc-sel-error)
|
||
|
||
("calc-stat" calc-vector-op calcFunc-agmean calcFunc-rms
|
||
calcFunc-vcorr calcFunc-vcount calcFunc-vcov calcFunc-vflat
|
||
calcFunc-vgmean calcFunc-vhmean calcFunc-vmax calcFunc-vmean
|
||
calcFunc-vmeane calcFunc-vmedian calcFunc-vmin calcFunc-vpcov
|
||
calcFunc-vprod calcFunc-vpsdev calcFunc-vpvar calcFunc-vsdev
|
||
calcFunc-vsum calcFunc-vvar math-flatten-many-vecs)
|
||
|
||
("calc-store" calc-read-var-name
|
||
calc-store-value calc-var-name)
|
||
|
||
("calc-stuff" calc-explain-why calcFunc-clean
|
||
calcFunc-pclean calcFunc-pfloat calcFunc-pfrac)
|
||
|
||
("calc-units" calcFunc-usimplify calcFunc-lufadd calcFunc-lupadd
|
||
calcFunc-lufsub calcFunc-lupsub calcFunc-lufmul calcFunc-lupmul
|
||
calcFunc-lufdiv calcFunc-lupdiv calcFunc-lufquant calcFunc-lupquant
|
||
calcFunc-dbfield calcFunc-dbpower calcFunc-npfield
|
||
calcFunc-nppower calcFunc-spn calcFunc-midi calcFunc-freq
|
||
math-build-units-table math-build-units-table-buffer
|
||
math-check-unit-name math-convert-temperature math-convert-units
|
||
math-extract-units math-remove-units math-simplify-units
|
||
math-single-units-in-expr-p math-to-standard-units
|
||
math-units-in-expr-p)
|
||
|
||
("calc-vec" calcFunc-append calcFunc-appendrev
|
||
calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross
|
||
calcFunc-kron calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find
|
||
calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram
|
||
calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims
|
||
calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack
|
||
calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade
|
||
calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec
|
||
calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec
|
||
calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt
|
||
calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev
|
||
calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp
|
||
calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask
|
||
calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack
|
||
calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix
|
||
math-dimension-error math-dot-product math-flatten-vector math-map-vec
|
||
math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set
|
||
math-read-brackets math-reduce-cols math-reduce-vec math-transpose)
|
||
|
||
("calc-yank" calc-alg-edit calc-clean-newlines
|
||
calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit
|
||
calc-copy-to-register calc-insert-register
|
||
calc-append-to-register calc-prepend-to-register
|
||
calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer)
|
||
|
||
))
|
||
|
||
(mapcar (lambda (x)
|
||
(mapcar (lambda (cmd) (autoload cmd (car x) nil t))
|
||
(cdr x)))
|
||
'(
|
||
|
||
("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
|
||
calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
|
||
calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
|
||
calc-simplify-extended calc-substitute calc-powerexpand)
|
||
|
||
("calcalg2" calc-alt-summation calc-derivative
|
||
calc-dump-integral-cache calc-integral calc-num-integral
|
||
calc-poly-roots calc-product calc-solve-for calc-summation
|
||
calc-tabulate calc-taylor)
|
||
|
||
("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum
|
||
calc-find-root calc-poly-interp)
|
||
|
||
("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement
|
||
calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min
|
||
calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part)
|
||
|
||
("calc-bin" calc-and calc-binary-radix calc-clip
|
||
calc-decimal-radix calc-diff calc-hex-radix calc-leading-zeros
|
||
calc-lshift-arith calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix
|
||
calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size
|
||
calc-xor)
|
||
|
||
("calc-comb" calc-choose calc-double-factorial calc-extended-gcd
|
||
calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius
|
||
calc-next-prime calc-perm calc-prev-prime calc-prime-factors
|
||
calc-prime-test calc-random calc-random-again calc-rrandom
|
||
calc-shuffle calc-totient)
|
||
|
||
("calc-cplx" calc-argument calc-complex-notation calc-i-notation
|
||
calc-im calc-j-notation calc-polar calc-polar-mode calc-re)
|
||
|
||
("calc-embed" calc-embedded-copy-formula-as-kill
|
||
calc-embedded-duplicate calc-embedded-edit calc-embedded-forget
|
||
calc-embedded-kill-formula calc-embedded-mark-formula
|
||
calc-embedded-new-formula calc-embedded-next calc-embedded-previous
|
||
calc-embedded-select calc-embedded-update-formula calc-embedded-word
|
||
calc-find-globals calc-show-plain)
|
||
|
||
("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv
|
||
calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv
|
||
calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change)
|
||
|
||
("calc-forms" calc-business-days-minus calc-business-days-plus
|
||
calc-convert-time-zones calc-date calc-date-notation calc-date-part
|
||
calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month
|
||
calc-julian calc-new-month calc-new-week calc-new-year calc-now
|
||
calc-time calc-time-zone calc-to-hms calc-unix-time)
|
||
|
||
("calc-frac" calc-fdiv calc-frac-mode calc-fraction
|
||
calc-over-notation calc-slash-notation)
|
||
|
||
("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y
|
||
calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta
|
||
calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf
|
||
calc-utpn calc-utpp calc-utpt)
|
||
|
||
("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border
|
||
calc-graph-clear calc-graph-command calc-graph-delete
|
||
calc-graph-device calc-graph-display calc-graph-fast
|
||
calc-graph-fast-3d calc-graph-geometry calc-graph-grid
|
||
calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key
|
||
calc-graph-kill calc-graph-line-style calc-graph-log-x
|
||
calc-graph-log-y calc-graph-log-z calc-graph-name
|
||
calc-graph-num-points calc-graph-output calc-graph-plot
|
||
calc-graph-point-style calc-graph-print calc-graph-quit
|
||
calc-graph-range-x calc-graph-range-y calc-graph-range-z
|
||
calc-graph-show-dumb calc-graph-title-x calc-graph-title-y
|
||
calc-graph-title-z calc-graph-view-commands calc-graph-view-trail
|
||
calc-graph-zero-x calc-graph-zero-y)
|
||
|
||
("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help
|
||
calc-d-prefix-help calc-describe-function calc-describe-key
|
||
calc-describe-key-briefly calc-describe-variable calc-f-prefix-help
|
||
calc-full-help calc-g-prefix-help calc-help-prefix
|
||
calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help calc-option-prefix-help
|
||
calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help
|
||
calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help
|
||
calc-t-prefix-help calc-u-prefix-help calc-l-prefix-help
|
||
calc-v-prefix-help)
|
||
|
||
("calc-incom" calc-begin-complex calc-begin-vector calc-comma
|
||
calc-dots calc-end-complex calc-end-vector calc-semi)
|
||
|
||
("calc-keypd" calc-keypad-menu calc-keypad-menu-back
|
||
calc-keypad-press)
|
||
|
||
("calc-lang" calc-big-language calc-c-language calc-eqn-language
|
||
calc-flat-language calc-fortran-language calc-maple-language
|
||
calc-yacas-language calc-maxima-language calc-giac-language
|
||
calc-mathematica-language calc-normal-language calc-pascal-language
|
||
calc-tex-language calc-latex-language calc-unformatted-language)
|
||
|
||
("calc-map" calc-accumulate calc-apply calc-inner-product calc-map
|
||
calc-map-equation calc-map-stack calc-outer-product calc-reduce)
|
||
|
||
("calc-mtx" calc-mdet calc-mlud calc-mtrace)
|
||
|
||
("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh
|
||
calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh
|
||
calc-cot calc-coth calc-csc calc-csch
|
||
calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog
|
||
calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10
|
||
calc-pi calc-radians-mode calc-sec calc-sech
|
||
calc-sin calc-sincos calc-sinh calc-sqrt
|
||
calc-tan calc-tanh calc-to-degrees calc-to-radians)
|
||
|
||
("calc-mode" calc-alg-simplify-mode calc-algebraic-mode
|
||
calc-always-load-extensions calc-auto-recompute calc-auto-why
|
||
calc-basic-simplify-mode calc-bin-simplify-mode calc-break-vectors
|
||
calc-center-justify calc-default-simplify-mode calc-display-raw
|
||
calc-eng-notation calc-ext-simplify-mode calc-fix-notation
|
||
calc-full-trail-vectors calc-full-vectors calc-get-modes calc-group-char
|
||
calc-group-digits calc-infinite-mode calc-left-justify calc-left-label
|
||
calc-line-breaking calc-line-numbering calc-matrix-brackets
|
||
calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode
|
||
calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode
|
||
calc-normal-notation calc-num-simplify-mode calc-point-char
|
||
calc-right-justify calc-right-label calc-save-modes calc-sci-notation
|
||
calc-settings-file-name calc-shift-prefix calc-symbolic-mode
|
||
calc-total-algebraic-mode calc-truncate-down calc-truncate-stack
|
||
calc-truncate-up calc-units-simplify-mode calc-vector-braces
|
||
calc-vector-brackets calc-vector-commas calc-vector-parens
|
||
calc-working)
|
||
|
||
("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax
|
||
calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
|
||
calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if
|
||
calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat
|
||
calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push
|
||
calc-kbd-query calc-kbd-repeat calc-less-equal
|
||
calc-less-than calc-logical-and calc-logical-if calc-logical-not
|
||
calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal
|
||
calc-timing calc-user-define calc-user-define-composition
|
||
calc-user-define-edit calc-user-define-formula
|
||
calc-user-define-invocation calc-user-define-kbd-macro
|
||
calc-user-define-permanent calc-user-undefine)
|
||
|
||
("calc-rewr" calc-match calc-rewrite calc-rewrite-selection)
|
||
|
||
("calc-sel" calc-break-selections calc-clear-selections
|
||
calc-copy-selection calc-del-selection calc-edit-selection
|
||
calc-enable-selections calc-enter-selection calc-sel-add-both-sides
|
||
calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula
|
||
calc-sel-mult-both-sides calc-sel-sub-both-sides
|
||
calc-select-additional calc-select-here calc-select-here-maybe
|
||
calc-select-less calc-select-more calc-select-next calc-select-once
|
||
calc-select-once-maybe calc-select-part calc-select-previous
|
||
calc-show-selections calc-unselect)
|
||
|
||
("calcsel2" calc-commute-left calc-commute-right calc-sel-commute
|
||
calc-sel-distribute calc-sel-invert calc-sel-isolate
|
||
calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack)
|
||
|
||
("calc-stat" calc-vector-correlation calc-vector-count
|
||
calc-vector-covariance calc-vector-geometric-mean
|
||
calc-vector-harmonic-mean calc-vector-max calc-vector-mean
|
||
calc-vector-mean-error calc-vector-median calc-vector-min
|
||
calc-vector-pop-covariance calc-vector-pop-sdev
|
||
calc-vector-pop-variance calc-vector-product calc-vector-rms
|
||
calc-vector-sdev calc-vector-sum calc-vector-variance)
|
||
|
||
("calc-store" calc-assign calc-copy-special-constant
|
||
calc-copy-variable calc-declare-variable
|
||
calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules
|
||
calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount
|
||
calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles
|
||
calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone
|
||
calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables
|
||
calc-let calc-permanent-variable calc-recall calc-recall-quick
|
||
calc-store calc-store-concat calc-store-decr calc-store-div
|
||
calc-store-exchange calc-store-incr calc-store-into
|
||
calc-store-into-quick calc-store-inv calc-store-map calc-store-minus
|
||
calc-store-neg calc-store-plus calc-store-power calc-store-quick
|
||
calc-store-times calc-subscript calc-unstore)
|
||
|
||
("calc-stuff" calc-clean calc-clean-num calc-flush-caches
|
||
calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix
|
||
calc-why)
|
||
|
||
("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward
|
||
calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward
|
||
calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next
|
||
calc-trail-out calc-trail-previous calc-trail-scroll-left
|
||
calc-trail-scroll-right calc-trail-yank)
|
||
|
||
("calc-undo" calc-last-args calc-redo)
|
||
|
||
("calc-units" calc-autorange-units calc-base-units
|
||
calc-convert-temperature calc-convert-units
|
||
calc-convert-exact-units calc-define-unit
|
||
calc-enter-units-table calc-explain-units calc-extract-units
|
||
calc-get-unit-definition calc-permanent-units calc-quick-units
|
||
calc-remove-units calc-simplify-units calc-undefine-unit
|
||
calc-view-units-table calc-lu-quant calc-db
|
||
calc-np calc-lu-plus calc-lu-minus
|
||
calc-lu-times calc-lu-divide calc-spn calc-midi
|
||
calc-freq)
|
||
|
||
("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm
|
||
calc-conj-transpose calc-cons calc-cross calc-kron calc-diag
|
||
calc-display-strings calc-expand-vector calc-grade calc-head
|
||
calc-histogram calc-ident calc-index calc-mask-vector calc-mcol
|
||
calc-mrow calc-pack calc-pack-bits calc-remove-duplicates
|
||
calc-reverse-vector calc-rnorm calc-set-cardinality
|
||
calc-set-complement calc-set-difference calc-set-enumerate
|
||
calc-set-floor calc-set-intersect calc-set-span calc-set-union
|
||
calc-set-xor calc-sort calc-subvector calc-tail calc-transpose
|
||
calc-unpack calc-unpack-bits calc-vector-find calc-vlength)
|
||
|
||
("calc-yank" calc-copy-as-kill calc-copy-region-as-kill
|
||
calc-copy-to-buffer calc-edit calc-edit-cancel calc--edit-mode
|
||
calc-kill calc-kill-region calc-yank))))
|
||
|
||
(defun calc-init-prefixes ()
|
||
(if calc-shift-prefix
|
||
(progn
|
||
(define-key calc-mode-map "A" (lookup-key calc-mode-map "a"))
|
||
(define-key calc-mode-map "B" (lookup-key calc-mode-map "b"))
|
||
(define-key calc-mode-map "C" (lookup-key calc-mode-map "c"))
|
||
(define-key calc-mode-map "D" (lookup-key calc-mode-map "d"))
|
||
(define-key calc-mode-map "F" (lookup-key calc-mode-map "f"))
|
||
(define-key calc-mode-map "G" (lookup-key calc-mode-map "g"))
|
||
(define-key calc-mode-map "J" (lookup-key calc-mode-map "j"))
|
||
(define-key calc-mode-map "K" (lookup-key calc-mode-map "k"))
|
||
(define-key calc-mode-map "M" (lookup-key calc-mode-map "m"))
|
||
(define-key calc-mode-map "S" (lookup-key calc-mode-map "s"))
|
||
(define-key calc-mode-map "T" (lookup-key calc-mode-map "t"))
|
||
(define-key calc-mode-map "U" (lookup-key calc-mode-map "u")))
|
||
(define-key calc-mode-map "A" 'calc-abs)
|
||
(define-key calc-mode-map "B" 'calc-log)
|
||
(define-key calc-mode-map "C" 'calc-cos)
|
||
(define-key calc-mode-map "D" 'calc-redo)
|
||
(define-key calc-mode-map "F" 'calc-floor)
|
||
(define-key calc-mode-map "G" 'calc-argument)
|
||
(define-key calc-mode-map "J" 'calc-conj)
|
||
(define-key calc-mode-map "K" 'calc-keep-args)
|
||
(define-key calc-mode-map "M" 'calc-more-recursion-depth)
|
||
(define-key calc-mode-map "S" 'calc-sin)
|
||
(define-key calc-mode-map "T" 'calc-tan)
|
||
(define-key calc-mode-map "U" 'calc-undo)))
|
||
|
||
(calc-init-extensions)
|
||
|
||
|
||
|
||
|
||
;;;; Miscellaneous.
|
||
|
||
;; calc-command-flags is declared in calc.el
|
||
(defvar calc-command-flags)
|
||
|
||
(defun calc-clear-command-flag (f)
|
||
(setq calc-command-flags (delq f calc-command-flags)))
|
||
|
||
|
||
(defun calc-record-message (tag &rest args)
|
||
(let ((msg (apply #'format-message args)))
|
||
(message "%s" msg)
|
||
(calc-record msg tag))
|
||
(calc-clear-command-flag 'clear-message))
|
||
|
||
|
||
(defun calc-normalize-fancy (val)
|
||
(let ((simp (if (consp calc-simplify-mode)
|
||
(car calc-simplify-mode)
|
||
calc-simplify-mode)))
|
||
(cond ((eq simp 'binary)
|
||
(let ((s (math-normalize val)))
|
||
(if (math-realp s)
|
||
(math-clip (math-round s))
|
||
s)))
|
||
((eq simp 'alg)
|
||
(math-simplify val))
|
||
((eq simp 'ext)
|
||
(math-simplify-extended val))
|
||
((eq simp 'units)
|
||
(math-simplify-units val))
|
||
(t ; nil, none, num
|
||
(math-normalize val)))))
|
||
|
||
|
||
(defvar-keymap calc-help-map
|
||
"b" 'calc-describe-bindings
|
||
"c" 'calc-describe-key-briefly
|
||
"f" 'calc-describe-function
|
||
"h" 'calc-full-help
|
||
"i" 'calc-info
|
||
"k" 'calc-describe-key
|
||
"n" 'calc-view-news
|
||
"s" 'calc-info-summary
|
||
"t" 'calc-tutorial
|
||
"v" 'calc-describe-variable
|
||
"C-c" 'calc-describe-copying
|
||
"C-d" 'calc-describe-distribution
|
||
"C-n" 'calc-view-news
|
||
"C-w" 'calc-describe-no-warranty
|
||
"?" 'calc-help-for-help
|
||
"C-h" 'calc-help-for-help)
|
||
|
||
(defvar calc-prefix-help-retry nil)
|
||
(defvar calc-prefix-help-phase 0)
|
||
(defun calc-do-prefix-help (msgs group key)
|
||
(if calc-full-help-flag
|
||
(list msgs group key)
|
||
(if (cdr msgs)
|
||
(progn
|
||
(setq calc-prefix-help-phase
|
||
(if calc-prefix-help-retry
|
||
(% (1+ calc-prefix-help-phase) (1+ (length msgs)))
|
||
0))
|
||
(let ((msg (nth calc-prefix-help-phase msgs)))
|
||
(message "%s" (if msg
|
||
(concat group ": " (substitute-command-keys msg) ":"
|
||
(make-string
|
||
(- (apply #'max (mapcar #'length msgs))
|
||
(length msg))
|
||
?\s)
|
||
(substitute-command-keys
|
||
" [\\`?'=MORE]")
|
||
(if key
|
||
(concat " " (char-to-string key)
|
||
"-")
|
||
""))
|
||
(if key (format "%c-" key) "")))))
|
||
(setq calc-prefix-help-phase 0)
|
||
(if key
|
||
(if msgs
|
||
(message "%s: %s: %c-" group (car msgs) key)
|
||
(message "%s: (none) %c-" group key))
|
||
(message "%s: %s" group (car msgs))))
|
||
(let* ((chr (read-char))
|
||
(bnd (local-key-binding (if key (string key chr) (string chr)))))
|
||
(setq calc-prefix-help-retry (= chr ??))
|
||
(if bnd
|
||
(call-interactively bnd)
|
||
(message "%s is undefined"
|
||
(key-description (if key (vector key chr) (vector chr))))))))
|
||
|
||
;;;; Commands.
|
||
|
||
|
||
;;; General.
|
||
|
||
(defvar calc-embedded-quiet)
|
||
|
||
(defun calc-reset (arg)
|
||
(interactive "P")
|
||
(setq arg (if arg (prefix-numeric-value arg) nil))
|
||
(cond
|
||
((and
|
||
calc-embedded-info
|
||
(equal (aref calc-embedded-info 0) (current-buffer))
|
||
(<= (point) (aref calc-embedded-info 5))
|
||
(>= (point) (aref calc-embedded-info 4)))
|
||
(let ((cbuf (aref calc-embedded-info 1))
|
||
(calc-embedded-quiet t))
|
||
(save-window-excursion
|
||
(calc-embedded nil)
|
||
(set-buffer cbuf)
|
||
(calc-reset arg))
|
||
(calc-embedded nil)))
|
||
((eq major-mode 'calc-mode)
|
||
(save-excursion
|
||
(unless (and arg (> (abs arg) 0))
|
||
(setq calc-stack nil))
|
||
(setq calc-undo-list nil
|
||
calc-redo-list nil)
|
||
(let (calc-stack calc-user-parse-tables calc-standard-date-formats
|
||
calc-invocation-macro)
|
||
(mapc (lambda (v) (set v nil)) calc-local-var-list)
|
||
(if (and arg (<= arg 0))
|
||
(calc-mode-var-list-restore-default-values)
|
||
(calc-mode-var-list-restore-saved-values)))
|
||
(calc-set-language nil nil t)
|
||
(calc-mode)
|
||
(calc-flush-caches t)
|
||
(run-hooks 'calc-reset-hook))
|
||
(calc-wrapper
|
||
(let ((win (get-buffer-window (current-buffer))))
|
||
(calc-realign 0)
|
||
;; Adjust the window height if the window is visible, but doesn't
|
||
;; take up the whole height of the frame.
|
||
(if (and
|
||
win
|
||
(not (window-full-height-p)))
|
||
(let ((height (- (window-height win) 2)))
|
||
(set-window-point win (point))
|
||
(or (= height calc-window-height)
|
||
(let ((swin (selected-window)))
|
||
(select-window win)
|
||
(enlarge-window (- calc-window-height height))
|
||
(select-window swin)))))))
|
||
(message "(Calculator reset)"))
|
||
(t
|
||
(message "(Not inside a Calc buffer)"))))
|
||
|
||
;; What a pain; scroll-left behaves differently when called non-interactively.
|
||
(defun calc-scroll-left (n)
|
||
(interactive "P")
|
||
(setq prefix-arg (or n (/ (window-width) 2)))
|
||
(call-interactively #'scroll-left))
|
||
|
||
(defun calc-scroll-right (n)
|
||
(interactive "P")
|
||
(setq prefix-arg (or n (/ (window-width) 2)))
|
||
(call-interactively #'scroll-right))
|
||
|
||
(defun calc-scroll-up (n)
|
||
(interactive "P")
|
||
(ignore-errors
|
||
(scroll-up (or n (/ (window-height) 2))))
|
||
(if (pos-visible-in-window-p (max 1 (- (point-max) 2)))
|
||
(if (eq major-mode 'calc-mode)
|
||
(calc-realign)
|
||
(goto-char (point-max))
|
||
(set-window-start (selected-window)
|
||
(save-excursion
|
||
(forward-line (- (1- (window-height))))
|
||
(point)))
|
||
(forward-line -1))))
|
||
|
||
(defun calc-scroll-down (n)
|
||
(interactive "P")
|
||
(or (pos-visible-in-window-p 1)
|
||
(scroll-down (or n (/ (window-height) 2)))))
|
||
|
||
|
||
(defun calc-precision (n)
|
||
(interactive "NPrecision: ")
|
||
(calc-wrapper
|
||
(if (< (prefix-numeric-value n) 3)
|
||
(error "Precision must be at least 3 digits")
|
||
(calc-change-mode 'calc-internal-prec (prefix-numeric-value n)
|
||
(and (memq (car calc-float-format) '(float sci eng))
|
||
(< (nth 1 calc-float-format)
|
||
(if (= calc-number-radix 10) 0 1))))
|
||
(calc-record calc-internal-prec "prec"))
|
||
(message "Floating-point precision is %d digits" calc-internal-prec)))
|
||
|
||
|
||
(defun calc-inverse (&optional n)
|
||
(interactive "P")
|
||
(let* ((hyp-flag (if (or
|
||
(eq major-mode 'calc-keypad-mode)
|
||
(eq major-mode 'calc-trail-mode))
|
||
(with-current-buffer calc-main-buffer
|
||
calc-hyperbolic-flag)
|
||
calc-hyperbolic-flag))
|
||
(opt-flag (if (or
|
||
(eq major-mode 'calc-keypad-mode)
|
||
(eq major-mode 'calc-trail-mode))
|
||
(with-current-buffer calc-main-buffer
|
||
calc-option-flag)
|
||
calc-option-flag))
|
||
(msg
|
||
(cond
|
||
((and opt-flag hyp-flag) "Option Inverse Hyperbolic...")
|
||
(hyp-flag "Inverse Hyperbolic...")
|
||
(opt-flag "Option Inverse...")
|
||
(t "Inverse..."))))
|
||
(calc-fancy-prefix 'calc-inverse-flag msg n)))
|
||
|
||
(defconst calc-fancy-prefix-map
|
||
(let ((map (make-sparse-keymap)))
|
||
(define-key map [t] 'calc-fancy-prefix-other-key)
|
||
(define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key)
|
||
(define-key map [switch-frame] nil)
|
||
(define-key map [?\C-u] 'universal-argument)
|
||
(define-key map [?0] 'digit-argument)
|
||
(define-key map [?1] 'digit-argument)
|
||
(define-key map [?2] 'digit-argument)
|
||
(define-key map [?3] 'digit-argument)
|
||
(define-key map [?4] 'digit-argument)
|
||
(define-key map [?5] 'digit-argument)
|
||
(define-key map [?6] 'digit-argument)
|
||
(define-key map [?7] 'digit-argument)
|
||
(define-key map [?8] 'digit-argument)
|
||
(define-key map [?9] 'digit-argument)
|
||
map)
|
||
"Keymap used while processing calc-fancy-prefix.")
|
||
|
||
(defvar calc-is-keypad-press nil)
|
||
(defun calc-fancy-prefix (flag msg n)
|
||
(let (prefix)
|
||
(calc-wrapper
|
||
(calc-set-command-flag 'keep-flags)
|
||
(calc-set-command-flag 'no-align)
|
||
(setq prefix (set flag (not (symbol-value flag)))
|
||
prefix-arg n)
|
||
(message "%s" (if prefix msg "")))
|
||
(and prefix
|
||
(not calc-is-keypad-press)
|
||
(if (boundp 'overriding-terminal-local-map)
|
||
(setq overriding-terminal-local-map calc-fancy-prefix-map)
|
||
(let ((event (read-event)))
|
||
(if (eq (setq last-command-event event) ?\C-u)
|
||
(universal-argument)
|
||
(if (or (not (integerp last-command-event))
|
||
(and (>= last-command-event 0) (< last-command-event ? )
|
||
(not (memq last-command-event '(?\e)))))
|
||
(calc-wrapper)) ; clear flags if not a Calc command.
|
||
(setq last-command-event event)
|
||
(if (or (not (integerp last-command-event))
|
||
(eq last-command-event ?-))
|
||
(calc-unread-command)
|
||
(digit-argument n))))))))
|
||
|
||
(defun calc-fancy-prefix-other-key (arg)
|
||
(interactive "P")
|
||
(if (and
|
||
(not (eq last-command-event 'tab))
|
||
(not (eq last-command-event 'M-tab))
|
||
(or (not (integerp last-command-event))
|
||
(and (>= last-command-event 0) (< last-command-event ? )
|
||
(not (eq last-command-event meta-prefix-char)))))
|
||
(calc-wrapper)) ; clear flags if not a Calc command.
|
||
(setq prefix-arg arg)
|
||
(calc-unread-command)
|
||
(setq overriding-terminal-local-map nil))
|
||
|
||
(defun calc-invert-func ()
|
||
(save-excursion
|
||
(calc-select-buffer)
|
||
(setq calc-inverse-flag (not (calc-is-inverse))
|
||
calc-hyperbolic-flag (calc-is-hyperbolic)
|
||
current-prefix-arg nil)))
|
||
|
||
(defun calc-is-inverse ()
|
||
calc-inverse-flag)
|
||
|
||
(defun calc-hyperbolic (&optional n)
|
||
(interactive "P")
|
||
(let* ((inv-flag (if (or
|
||
(eq major-mode 'calc-keypad-mode)
|
||
(eq major-mode 'calc-trail-mode))
|
||
(with-current-buffer calc-main-buffer
|
||
calc-inverse-flag)
|
||
calc-inverse-flag))
|
||
(opt-flag (if (or
|
||
(eq major-mode 'calc-keypad-mode)
|
||
(eq major-mode 'calc-trail-mode))
|
||
(with-current-buffer calc-main-buffer
|
||
calc-option-flag)
|
||
calc-option-flag))
|
||
(msg
|
||
(cond
|
||
((and opt-flag inv-flag) "Option Inverse Hyperbolic...")
|
||
(opt-flag "Option Hyperbolic...")
|
||
(inv-flag "Inverse Hyperbolic...")
|
||
(t "Hyperbolic..."))))
|
||
(calc-fancy-prefix 'calc-hyperbolic-flag msg n)))
|
||
|
||
(defun calc-hyperbolic-func ()
|
||
(save-excursion
|
||
(calc-select-buffer)
|
||
(setq calc-inverse-flag (calc-is-inverse)
|
||
calc-hyperbolic-flag (not (calc-is-hyperbolic))
|
||
current-prefix-arg nil)))
|
||
|
||
(defun calc-is-hyperbolic ()
|
||
calc-hyperbolic-flag)
|
||
|
||
(defun calc-option (&optional n)
|
||
(interactive "P")
|
||
(let* ((inv-flag (if (or
|
||
(eq major-mode 'calc-keypad-mode)
|
||
(eq major-mode 'calc-trail-mode))
|
||
(with-current-buffer calc-main-buffer
|
||
calc-inverse-flag)
|
||
calc-inverse-flag))
|
||
(hyp-flag (if (or
|
||
(eq major-mode 'calc-keypad-mode)
|
||
(eq major-mode 'calc-trail-mode))
|
||
(with-current-buffer calc-main-buffer
|
||
calc-hyperbolic-flag)
|
||
calc-hyperbolic-flag))
|
||
(msg
|
||
(cond
|
||
((and hyp-flag inv-flag) "Option Inverse Hyperbolic...")
|
||
(hyp-flag "Option Hyperbolic...")
|
||
(inv-flag "Option Inverse...")
|
||
(t "Option..."))))
|
||
(calc-fancy-prefix 'calc-option-flag msg n)))
|
||
|
||
(defun calc-is-option ()
|
||
calc-option-flag)
|
||
|
||
(defun calc-keep-args (&optional n)
|
||
(interactive "P")
|
||
(calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
|
||
|
||
|
||
(defun calc-change-mode (var value &optional refresh option)
|
||
(if option
|
||
(setq value (if value
|
||
(> (prefix-numeric-value value) 0)
|
||
(not (symbol-value var)))))
|
||
(or (consp var) (setq var (list var) value (list value)))
|
||
(if calc-inverse-flag
|
||
(let ((old nil))
|
||
(or refresh (error "Not a display-mode command"))
|
||
(calc-check-stack 1)
|
||
(unwind-protect
|
||
(let ((v var))
|
||
(while v
|
||
(setq old (cons (symbol-value (car v)) old))
|
||
(set (car v) (car value))
|
||
(setq v (cdr v)
|
||
value (cdr value)))
|
||
(calc-refresh-top 1)
|
||
(calc-refresh-evaltos)
|
||
(symbol-value (car var)))
|
||
(let ((v var))
|
||
(setq old (nreverse old))
|
||
(while v
|
||
(set (car v) (car old))
|
||
(setq v (cdr v)
|
||
old (cdr old)))
|
||
(if (eq (car var) 'calc-language)
|
||
(calc-set-language calc-language calc-language-option t)))))
|
||
(let ((chg nil)
|
||
(v var))
|
||
(while v
|
||
(or (equal (symbol-value (car v)) (car value))
|
||
(progn
|
||
(set (car v) (car value))
|
||
(if (eq (car v) 'calc-float-format)
|
||
(setq calc-full-float-format
|
||
(list (if (eq (car (car value)) 'fix)
|
||
'float
|
||
(car (car value)))
|
||
0)))
|
||
(setq chg t)))
|
||
(setq v (cdr v)
|
||
value (cdr value)))
|
||
(if chg
|
||
(progn
|
||
(or (and refresh (calc-do-refresh))
|
||
(calc-refresh-evaltos))
|
||
(and (eq calc-mode-save-mode 'save)
|
||
(not (equal var '(calc-mode-save-mode)))
|
||
(calc-save-modes))))
|
||
(if calc-embedded-info (calc-embedded-modes-change var))
|
||
(calc-set-mode-line)
|
||
(symbol-value (car var)))))
|
||
|
||
(defun calc-toggle-banner ()
|
||
"Toggle display of the friendly greeting calc normally shows above the stack."
|
||
(interactive)
|
||
(setq calc-show-banner (not calc-show-banner))
|
||
(calc-refresh))
|
||
|
||
(defun calc-refresh-top (n)
|
||
(interactive "p")
|
||
(calc-wrapper
|
||
(cond ((< n 0)
|
||
(setq n (- n))
|
||
(let ((entry (calc-top n 'entry))
|
||
(calc-undo-list nil) (calc-redo-list nil))
|
||
(calc-pop-stack 1 n t)
|
||
(calc-push-list (list (car entry)) n (list (nth 2 entry)))))
|
||
((= n 0)
|
||
(calc-refresh))
|
||
(t
|
||
(let ((entries (calc-top-list n 1 'entry))
|
||
(calc-undo-list nil) (calc-redo-list nil))
|
||
(calc-pop-stack n 1 t)
|
||
(calc-push-list (mapcar #'car entries)
|
||
1
|
||
(mapcar (lambda (x) (nth 2 x))
|
||
entries)))))))
|
||
|
||
(defvar calc-refreshing-evaltos nil)
|
||
(defvar calc-no-refresh-evaltos nil)
|
||
(defun calc-refresh-evaltos (&optional which-var)
|
||
(and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos)
|
||
(let ((calc-refreshing-evaltos t)
|
||
(num (calc-stack-size))
|
||
(calc-undo-list nil) (calc-redo-list nil)
|
||
value new-val)
|
||
(while (> num 0)
|
||
(setq value (calc-top num 'entry))
|
||
(if (and (not (nth 2 value))
|
||
(setq value (car value))
|
||
(or (eq (car-safe value) 'calcFunc-evalto)
|
||
(and (eq (car-safe value) 'vec)
|
||
(eq (car-safe (nth 1 value)) 'calcFunc-evalto))))
|
||
(progn
|
||
(setq new-val (math-normalize value))
|
||
(or (equal new-val value)
|
||
(progn
|
||
(calc-push-list (list new-val) num)
|
||
(calc-pop-stack 1 (1+ num) t)))))
|
||
(setq num (1- num)))))
|
||
(and calc-embedded-active which-var
|
||
(calc-embedded-var-change which-var)))
|
||
|
||
(defun calc-push (&rest vals)
|
||
(calc-push-list vals))
|
||
|
||
(defun calc-pop-push (n &rest vals)
|
||
(calc-pop-push-list n vals))
|
||
|
||
(defun calc-pop-push-record (n prefix &rest vals)
|
||
(calc-pop-push-record-list n prefix vals))
|
||
|
||
|
||
(defun calc-evaluate (n)
|
||
(interactive "p")
|
||
(calc-slow-wrapper
|
||
(if (= n 0)
|
||
(setq n (calc-stack-size)))
|
||
(calc-with-default-simplification
|
||
(if (< n 0)
|
||
(calc-pop-push-record-list 1 "eval"
|
||
(math-evaluate-expr (calc-top (- n)))
|
||
(- n))
|
||
(calc-pop-push-record-list n "eval" (mapcar #'math-evaluate-expr
|
||
(calc-top-list n)))))
|
||
(calc-handle-whys)))
|
||
|
||
|
||
(defun calc-eval-num (n)
|
||
(interactive "P")
|
||
(calc-slow-wrapper
|
||
(let* ((nn (prefix-numeric-value n))
|
||
(calc-internal-prec (cond ((>= nn 3) nn)
|
||
((< nn 0) (max (+ calc-internal-prec nn)
|
||
3))
|
||
(t calc-internal-prec)))
|
||
(calc-symbolic-mode nil))
|
||
(calc-with-default-simplification
|
||
(calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1)))))
|
||
(calc-handle-whys)))
|
||
|
||
|
||
(defvar calc-extended-command-history nil
|
||
"The history list for calc-execute-extended-command.")
|
||
|
||
(defun calc-execute-extended-command (n)
|
||
(interactive "P")
|
||
(let* ((prompt (concat (calc-num-prefix-name n) "M-x "))
|
||
(cmd (intern
|
||
(completing-read prompt obarray 'commandp t "calc-"
|
||
'calc-extended-command-history))))
|
||
(setq prefix-arg n)
|
||
(command-execute cmd)))
|
||
|
||
|
||
(defun calc-realign (&optional num)
|
||
(interactive "P")
|
||
(if (and num (eq major-mode 'calc-mode))
|
||
(progn
|
||
(calc-check-stack num)
|
||
(calc-cursor-stack-index num)
|
||
(and calc-line-numbering
|
||
(forward-char 4)))
|
||
(if (and calc-embedded-info
|
||
(eq (current-buffer) (aref calc-embedded-info 0)))
|
||
(progn
|
||
(goto-char (aref calc-embedded-info 2))
|
||
(if (with-current-buffer (aref calc-embedded-info 1)
|
||
calc-show-plain)
|
||
(forward-line 1)))
|
||
(calc-wrapper
|
||
(if (get-buffer-window (current-buffer))
|
||
(set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
|
||
|
||
(defvar math-cache-list nil)
|
||
|
||
(defun calc-var-value (v)
|
||
(and (symbolp v)
|
||
(boundp v)
|
||
(symbol-value v)
|
||
(if (symbolp (symbol-value v))
|
||
(set v (funcall (symbol-value v)))
|
||
(if (stringp (symbol-value v))
|
||
(let ((val (math-read-expr (symbol-value v))))
|
||
(if (eq (car-safe val) 'error)
|
||
(error "Bad format in variable contents: %s" (nth 2 val))
|
||
(set v val)))
|
||
(symbol-value v)))))
|
||
|
||
;;; In the following table, ( OP LOPS ROPS ) means that if an OP
|
||
;;; term appears as the first argument to any LOPS term, or as the
|
||
;;; second argument to any ROPS term, then they should be treated
|
||
;;; as one large term for purposes of associative selection.
|
||
(defconst calc-assoc-ops '( ( + ( + - ) ( + ) )
|
||
( - ( + - ) ( + ) )
|
||
( * ( * ) ( * ) )
|
||
( / ( / ) ( ) )
|
||
( | ( | ) ( | ) )
|
||
( calcFunc-land ( calcFunc-land )
|
||
( calcFunc-land ) )
|
||
( calcFunc-lor ( calcFunc-lor )
|
||
( calcFunc-lor ) ) ))
|
||
|
||
|
||
(defvar var-CommuteRules 'calc-CommuteRules)
|
||
(defvar var-JumpRules 'calc-JumpRules)
|
||
(defvar var-DistribRules 'calc-DistribRules)
|
||
(defvar var-MergeRules 'calc-MergeRules)
|
||
(defvar var-NegateRules 'calc-NegateRules)
|
||
(defvar var-InvertRules 'calc-InvertRules)
|
||
|
||
|
||
(defconst calc-tweak-eqn-table '( ( calcFunc-eq calcFunc-eq calcFunc-neq )
|
||
( calcFunc-neq calcFunc-neq calcFunc-eq )
|
||
( calcFunc-lt calcFunc-gt calcFunc-geq )
|
||
( calcFunc-gt calcFunc-lt calcFunc-leq )
|
||
( calcFunc-leq calcFunc-geq calcFunc-gt )
|
||
( calcFunc-geq calcFunc-leq calcFunc-lt ) ))
|
||
|
||
|
||
|
||
|
||
(defun calc-float (arg)
|
||
(interactive "P")
|
||
(calc-slow-wrapper
|
||
(calc-unary-op "flt"
|
||
(if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat)
|
||
arg)))
|
||
|
||
|
||
(defvar calc-gnuplot-process nil)
|
||
(defvar calc-gnuplot-input)
|
||
(defvar calc-gnuplot-buffer)
|
||
|
||
(defun calc-gnuplot-alive ()
|
||
(and calc-gnuplot-process
|
||
calc-gnuplot-buffer
|
||
(buffer-name calc-gnuplot-buffer)
|
||
calc-gnuplot-input
|
||
(buffer-name calc-gnuplot-input)
|
||
(memq (process-status calc-gnuplot-process) '(run stop))))
|
||
|
||
|
||
|
||
|
||
|
||
(defun calc-load-everything ()
|
||
(interactive)
|
||
(require 'calc-aent)
|
||
(require 'calc-alg)
|
||
(require 'calc-arith)
|
||
(require 'calc-bin)
|
||
(require 'calc-comb)
|
||
(require 'calc-cplx)
|
||
(require 'calc-embed)
|
||
(require 'calc-fin)
|
||
(require 'calc-forms)
|
||
(require 'calc-frac)
|
||
(require 'calc-funcs)
|
||
(require 'calc-graph)
|
||
(require 'calc-help)
|
||
(require 'calc-incom)
|
||
(require 'calc-keypd)
|
||
(require 'calc-lang)
|
||
(require 'calc-macs)
|
||
(require 'calc-map)
|
||
(require 'calc-math)
|
||
(require 'calc-misc)
|
||
(require 'calc-mode)
|
||
(require 'calc-mtx)
|
||
(require 'calc-poly)
|
||
(require 'calc-prog)
|
||
(require 'calc-rewr)
|
||
(require 'calc-rules)
|
||
(require 'calc-sel)
|
||
(require 'calc-stat)
|
||
(require 'calc-store)
|
||
(require 'calc-stuff)
|
||
(require 'calc-trail)
|
||
(require 'calc-undo)
|
||
(require 'calc-units)
|
||
(require 'calc-vec)
|
||
(require 'calc-yank)
|
||
(require 'calcalg2)
|
||
(require 'calcalg3)
|
||
(require 'calccomp)
|
||
(require 'calcsel2)
|
||
|
||
(message "All parts of Calc are now loaded"))
|
||
|
||
|
||
;;; Vector commands.
|
||
|
||
(defun calc-concat (arg)
|
||
(interactive "P")
|
||
(calc-wrapper
|
||
(if (calc-is-inverse)
|
||
(if (calc-is-hyperbolic)
|
||
(calc-enter-result 2 "apnd" (list 'calcFunc-append
|
||
(calc-top 1) (calc-top 2)))
|
||
(calc-enter-result 2 "|" (list 'calcFunc-vconcat
|
||
(calc-top 1) (calc-top 2))))
|
||
(if (calc-is-hyperbolic)
|
||
(calc-binary-op "apnd" 'calcFunc-append arg '(vec))
|
||
(calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|)))))
|
||
|
||
(defun calc-append (arg)
|
||
(interactive "P")
|
||
(calc-hyperbolic-func)
|
||
(calc-concat arg))
|
||
|
||
|
||
(defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB )
|
||
( var ArgC var-ArgC ) ( var ArgD var-ArgD )
|
||
( var ArgE var-ArgE ) ( var ArgF var-ArgF )
|
||
( var ArgG var-ArgG ) ( var ArgH var-ArgH )
|
||
( var ArgI var-ArgI ) ( var ArgJ var-ArgJ )
|
||
))
|
||
|
||
(defun calc-invent-args (n)
|
||
(nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values))))
|
||
|
||
|
||
|
||
|
||
;;; User menu.
|
||
|
||
(defun calc-user-key-map ()
|
||
(let ((res (cdr (lookup-key calc-mode-map "z"))))
|
||
(if (eq (car (car res)) 27)
|
||
(cdr res)
|
||
res)))
|
||
|
||
(defvar calc-z-prefix-buf nil)
|
||
(defvar calc-z-prefix-msgs nil)
|
||
|
||
(defun calc-z-prefix-help ()
|
||
(interactive)
|
||
(let* ((calc-z-prefix-msgs nil)
|
||
(calc-z-prefix-buf "")
|
||
(kmap (sort (copy-sequence (calc-user-key-map))
|
||
(lambda (x y) (< (car x) (car y)))))
|
||
(flags (apply #'logior
|
||
(mapcar (lambda (k)
|
||
(calc-user-function-classify (car k)))
|
||
kmap))))
|
||
(if (= (logand flags 8) 0)
|
||
(calc-user-function-list kmap 7)
|
||
(calc-user-function-list kmap 1)
|
||
(setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)
|
||
calc-z-prefix-buf "")
|
||
(calc-user-function-list kmap 6))
|
||
(if (/= flags 0)
|
||
(setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)))
|
||
(calc-do-prefix-help (nreverse calc-z-prefix-msgs) "user" ?z)))
|
||
|
||
(defun calc-user-function-classify (key)
|
||
(cond ((/= key (downcase key)) ; upper-case
|
||
(if (assq (downcase key) (calc-user-key-map)) 9 1))
|
||
((/= key (upcase key)) 2) ; lower-case
|
||
((= key ??) 0)
|
||
(t 4))) ; other
|
||
|
||
(defun calc-user-function-list (map flags)
|
||
(and map
|
||
(let* ((key (car (car map)))
|
||
(kind (calc-user-function-classify key))
|
||
(func (cdr (car map))))
|
||
(if (or (= (logand kind flags) 0)
|
||
(not (symbolp func)))
|
||
()
|
||
(let* ((name (symbol-name func))
|
||
(name (if (string-match "\\`calc-" name)
|
||
(substring name 5) name))
|
||
(pos (string-match (char-to-string key) name))
|
||
(desc
|
||
(if (symbolp func)
|
||
(if (= (logand kind 3) 0)
|
||
(format-message "`%c' = %s" key name)
|
||
(if pos
|
||
(format "%s%c%s"
|
||
(downcase (substring name 0 pos))
|
||
(upcase key)
|
||
(downcase (substring name (1+ pos))))
|
||
(format "%c = %s"
|
||
(upcase key)
|
||
(downcase name))))
|
||
(char-to-string (upcase key)))))
|
||
(if (= (length calc-z-prefix-buf) 0)
|
||
(setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
|
||
desc))
|
||
(if (> (+ (length calc-z-prefix-buf) (length desc)) 58)
|
||
(setq calc-z-prefix-msgs
|
||
(cons calc-z-prefix-buf calc-z-prefix-msgs)
|
||
calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
|
||
desc))
|
||
(setq calc-z-prefix-buf (concat calc-z-prefix-buf ", " desc))))))
|
||
(calc-user-function-list (cdr map) flags))))
|
||
|
||
|
||
|
||
(defun calc-shift-Z-prefix-help ()
|
||
(interactive)
|
||
(calc-do-prefix-help
|
||
'("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn"
|
||
"Composition, Syntax; Invocation; Permanent; Timing"
|
||
"kbd-macros: [ (if), : (else), | (else-if), ] (end-if)"
|
||
"kbd-macros: < > (repeat), ( ) (for), { } (loop)"
|
||
"kbd-macros: / (break)"
|
||
"kbd-macros: \\=` (save), \\=' (restore)")
|
||
"user" ?Z))
|
||
|
||
|
||
;;;; Caches.
|
||
|
||
(defmacro math-defcache (name init form)
|
||
(declare (indent 2) (debug (symbolp sexp form)))
|
||
(let ((cache-prec (intern (concat (symbol-name name) "-cache-prec")))
|
||
(cache-val (intern (concat (symbol-name name) "-cache")))
|
||
(last-prec (intern (concat (symbol-name name) "-last-prec")))
|
||
(last-val (intern (concat (symbol-name name) "-last"))))
|
||
`(progn
|
||
;; (defvar ,cache-prec ,(if init (math-numdigs (nth 1 init)) -100))
|
||
(defvar ,cache-prec (cond
|
||
((consp ,init) (math-numdigs (nth 1 ,init)))
|
||
(,init
|
||
(nth 1 (math-numdigs (eval ,init t))))
|
||
(t
|
||
-100)))
|
||
(defvar ,cache-val (cond ((consp ,init) ,init)
|
||
(,init (eval ,init t))
|
||
(t ,init)))
|
||
(defvar ,last-prec -100)
|
||
(defvar ,last-val nil)
|
||
(setq math-cache-list
|
||
(cons ',cache-prec
|
||
(cons ',last-prec
|
||
math-cache-list)))
|
||
(defun ,name ()
|
||
(or (= ,last-prec calc-internal-prec)
|
||
(setq ,last-val
|
||
(math-normalize
|
||
(progn (or (>= ,cache-prec calc-internal-prec)
|
||
(setq ,cache-val
|
||
(let ((calc-internal-prec
|
||
(+ calc-internal-prec 4)))
|
||
,form)
|
||
,cache-prec (+ calc-internal-prec 2)))
|
||
,cache-val))
|
||
,last-prec calc-internal-prec))
|
||
,last-val))))
|
||
|
||
;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public]
|
||
(defconst math-approx-pi
|
||
(math-read-number-simple "3.141592653589793238463")
|
||
"An approximation for pi.")
|
||
|
||
(math-defcache math-pi math-approx-pi
|
||
(math-add-float (math-mul-float '(float 16 0)
|
||
(math-arctan-raw '(float 2 -1)))
|
||
(math-mul-float '(float -4 0)
|
||
(math-arctan-raw
|
||
(math-float '(frac 1 239))))))
|
||
|
||
(math-defcache math-two-pi nil
|
||
(math-mul-float (math-pi) '(float 2 0)))
|
||
|
||
(math-defcache math-pi-over-2 nil
|
||
(math-mul-float (math-pi) '(float 5 -1)))
|
||
|
||
(math-defcache math-pi-over-4 nil
|
||
(math-mul-float (math-pi) '(float 25 -2)))
|
||
|
||
(math-defcache math-pi-over-180 nil
|
||
(math-div-float (math-pi) '(float 18 1)))
|
||
|
||
(math-defcache math-sqrt-pi nil
|
||
(math-sqrt-float (math-pi)))
|
||
|
||
(math-defcache math-sqrt-2 nil
|
||
(math-sqrt-float '(float 2 0)))
|
||
|
||
(math-defcache math-sqrt-12 nil
|
||
(math-sqrt-float '(float 12 0)))
|
||
|
||
(math-defcache math-sqrt-two-pi nil
|
||
(math-sqrt-float (math-two-pi)))
|
||
|
||
(defconst math-approx-sqrt-e
|
||
(math-read-number-simple "1.648721270700128146849")
|
||
"An approximation for sqrt(e).")
|
||
|
||
(math-defcache math-sqrt-e math-approx-sqrt-e
|
||
(math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
|
||
|
||
(math-defcache math-e nil
|
||
(math-pow (math-sqrt-e) 2))
|
||
|
||
(math-defcache math-phi nil
|
||
(math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
|
||
'(float 5 -1)))
|
||
|
||
(defconst math-approx-gamma-const
|
||
(math-read-number-simple
|
||
"0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495")
|
||
"An approximation for gamma.")
|
||
|
||
(math-defcache math-gamma-const nil
|
||
math-approx-gamma-const)
|
||
|
||
(defun math-half-circle (symb)
|
||
(if (eq calc-angle-mode 'rad)
|
||
(if symb
|
||
'(var pi var-pi)
|
||
(math-pi))
|
||
180))
|
||
|
||
(defun math-full-circle (symb)
|
||
(math-mul 2 (math-half-circle symb)))
|
||
|
||
(defun math-quarter-circle (symb)
|
||
(math-div (math-half-circle symb) 2))
|
||
|
||
(defvar math-expand-formulas nil)
|
||
|
||
;;;; Miscellaneous math routines.
|
||
|
||
;;; True if A is an odd integer. [P R R] [Public]
|
||
(defun math-oddp (a)
|
||
(and (integerp a) (cl-oddp a)))
|
||
|
||
;;; True if A is an integer. [P x] [Public]
|
||
(defalias 'math-integerp #'integerp)
|
||
|
||
;;; True if A is (numerically) a non-negative integer. [P N] [Public]
|
||
(defalias 'math-natnump #'natnump)
|
||
|
||
;;; True if A is a rational (or integer). [P x] [Public]
|
||
(defalias 'math-ratp #'Math-ratp)
|
||
|
||
;;; True if A is a real (or rational). [P x] [Public]
|
||
(defalias 'math-realp #'Math-realp)
|
||
|
||
;;; True if A is a real or HMS form. [P x] [Public]
|
||
(defalias 'math-anglep #'Math-anglep)
|
||
|
||
;;; True if A is a number of any kind. [P x] [Public]
|
||
(defalias 'math-numberp #'Math-numberp)
|
||
|
||
;;; True if A is a complex number or angle. [P x] [Public]
|
||
(defalias 'math-scalarp #'Math-scalarp)
|
||
|
||
;;; True if A is a vector. [P x] [Public]
|
||
(defalias 'math-vectorp #'Math-vectorp)
|
||
|
||
;;; True if A is any vector or scalar data object. [P x]
|
||
(defun math-objvecp (a) ; [Public]
|
||
(or (integerp a)
|
||
(memq (car-safe a) '(frac float cplx polar
|
||
hms date sdev intv mod vec
|
||
;; FIXME: Math-objvecp does not include this one!
|
||
incomplete))))
|
||
|
||
;;; True if A is an object not composed of sub-formulas . [P x] [Public]
|
||
(defun math-primp (a)
|
||
(or (integerp a)
|
||
(memq (car-safe a) '(frac float cplx polar
|
||
hms date mod var))))
|
||
|
||
;;; True if A is numerically (but not literally) an integer. [P x] [Public]
|
||
(defun math-messy-integerp (a)
|
||
(cond
|
||
((eq (car-safe a) 'float) (>= (nth 2 a) 0))
|
||
;; FIXME: Math-messy-integerp does not include this case!
|
||
((eq (car-safe a) 'frac) (Math-integerp (math-normalize a)))))
|
||
|
||
;;; True if A is numerically an integer. [P x] [Public]
|
||
(defun math-num-integerp (a)
|
||
(or (integerp a)
|
||
(Math-messy-integerp a)))
|
||
|
||
;;; True if A is (numerically) a non-negative integer. [P N] [Public]
|
||
(defun math-num-natnump (a)
|
||
(or (natnump a)
|
||
(and (eq (car-safe a) 'float)
|
||
(Math-natnump (nth 1 a))
|
||
(>= (nth 2 a) 0))))
|
||
|
||
;;; True if A is an integer or will evaluate to an integer. [P x] [Public]
|
||
(defun math-provably-integerp (a)
|
||
(or (Math-integerp a)
|
||
(and (memq (car-safe a) '(calcFunc-trunc
|
||
calcFunc-round
|
||
calcFunc-rounde
|
||
calcFunc-roundu
|
||
calcFunc-floor
|
||
calcFunc-ceil))
|
||
(= (length a) 2))))
|
||
|
||
;;; True if A is a real or will evaluate to a real. [P x] [Public]
|
||
(defun math-provably-realp (a)
|
||
(or (Math-realp a)
|
||
(math-provably-integerp a)
|
||
(memq (car-safe a) '(abs arg))))
|
||
|
||
;;; True if A is a non-real, complex number. [P x] [Public]
|
||
(defun math-complexp (a)
|
||
(memq (car-safe a) '(cplx polar)))
|
||
|
||
;;; True if A is a non-real, rectangular complex number. [P x] [Public]
|
||
(defun math-rect-complexp (a)
|
||
(eq (car-safe a) 'cplx))
|
||
|
||
;;; True if A is a non-real, polar complex number. [P x] [Public]
|
||
(defun math-polar-complexp (a)
|
||
(eq (car-safe a) 'polar))
|
||
|
||
;;; True if A is a matrix. [P x] [Public]
|
||
(defun math-matrixp (a)
|
||
(and (Math-vectorp a)
|
||
(Math-vectorp (nth 1 a))
|
||
(cdr (nth 1 a))
|
||
(let ((len (length (nth 1 a))))
|
||
(setq a (cdr a))
|
||
(while (and (setq a (cdr a))
|
||
(Math-vectorp (car a))
|
||
(= (length (car a)) len)))
|
||
(null a))))
|
||
|
||
(defun math-matrixp-step (a len) ; [P L]
|
||
(or (null a)
|
||
(and (Math-vectorp (car a))
|
||
(= (length (car a)) len)
|
||
(math-matrixp-step (cdr a) len))))
|
||
|
||
;;; True if A is a square matrix. [P V] [Public]
|
||
(defun math-square-matrixp (a)
|
||
(let ((dims (math-mat-dimens a)))
|
||
(and (cdr dims)
|
||
(= (car dims) (nth 1 dims)))))
|
||
|
||
;;; True if MAT is an identity matrix.
|
||
(defun math-identity-matrix-p (mat &optional mul)
|
||
(if (math-square-matrixp mat)
|
||
(let ((a (if mul
|
||
(nth 1 (nth 1 mat))
|
||
1))
|
||
(n (1- (length mat)))
|
||
(i 1))
|
||
(while (and (<= i n)
|
||
(math-ident-row-p (nth i mat) i a))
|
||
(setq i (1+ i)))
|
||
(if (> i n)
|
||
a
|
||
nil))))
|
||
|
||
(defun math-ident-row-p (row n &optional a)
|
||
(unless a
|
||
(setq a 1))
|
||
(and
|
||
(not (memq nil (mapcar
|
||
(lambda (x) (eq x 0))
|
||
(nthcdr (1+ n) row))))
|
||
(not (memq nil (mapcar
|
||
(lambda (x) (eq x 0))
|
||
(butlast
|
||
(cdr row)
|
||
(- (length row) n)))))
|
||
(eq (elt row n) a)))
|
||
|
||
;;; True if A is any scalar data object. [P x]
|
||
(defun math-objectp (a) ; [Public]
|
||
(or (integerp a)
|
||
(memq (car-safe a) '(frac float cplx
|
||
polar hms date sdev intv mod))))
|
||
|
||
;;; Verify that A is an integer and return A in integer form. [I N; - x]
|
||
(defun math-check-integer (a) ; [Public]
|
||
(cond ((integerp a) a)
|
||
((math-messy-integerp a)
|
||
(math-trunc a))
|
||
(t (math-reject-arg a 'integerp))))
|
||
|
||
;;; Verify that A is a small integer and return A in integer form. [S N; - x]
|
||
(defun math-check-fixnum (a &optional allow-inf) ; [Public]
|
||
(cond ((fixnump a) a) ; for speed
|
||
((Math-num-integerp a)
|
||
(let ((a (math-trunc a)))
|
||
(if (fixnump a)
|
||
a
|
||
(math-reject-arg a 'fixnump))))
|
||
((and allow-inf (equal a '(var inf var-inf)))
|
||
most-positive-fixnum)
|
||
((and allow-inf (equal a '(neg (var inf var-inf))))
|
||
(- most-positive-fixnum))
|
||
(t (math-reject-arg a 'fixnump))))
|
||
|
||
;;; Verify that A is an integer >= 0 and return A in integer form. [I N; - x]
|
||
(defun math-check-natnum (a) ; [Public]
|
||
(cond ((natnump a) a)
|
||
((and (not (math-negp a))
|
||
(Math-num-integerp a))
|
||
(math-trunc a))
|
||
(t (math-reject-arg a 'natnump))))
|
||
|
||
;;; Verify that A is in floating-point form, or force it to be a float. [F N]
|
||
(defun math-check-float (a) ; [Public]
|
||
(cond ((eq (car-safe a) 'float) a)
|
||
((Math-vectorp a) (math-map-vec 'math-check-float a))
|
||
((Math-objectp a) (math-float a))
|
||
(t a)))
|
||
|
||
;;; Verify that A is a constant.
|
||
(defun math-check-const (a &optional exp-ok)
|
||
(if (or (math-constp a)
|
||
(and exp-ok math-expand-formulas))
|
||
a
|
||
(math-reject-arg a 'constp)))
|
||
|
||
;;; Some functions for working with error forms.
|
||
(defun math-get-value (x)
|
||
"Get the mean value of the error form X.
|
||
If X is not an error form, return X."
|
||
(if (eq (car-safe x) 'sdev)
|
||
(nth 1 x)
|
||
x))
|
||
|
||
(defun math-get-sdev (x &optional one)
|
||
"Get the standard deviation of the error form X.
|
||
If X is not an error form, return 1."
|
||
(if (eq (car-safe x) 'sdev)
|
||
(nth 2 x)
|
||
(if one 1 0)))
|
||
|
||
(defun math-contains-sdev-p (ls)
|
||
"Non-nil if the list LS contains an error form."
|
||
(let ((ls (if (eq (car-safe ls) 'vec) (cdr ls) ls)))
|
||
(memq t (mapcar (lambda (x) (eq (car-safe x) 'sdev)) ls))))
|
||
|
||
;;; Coerce integer A to be a small integer. [S I]
|
||
(defvar math-simplify-only nil)
|
||
|
||
(defun math-normalize-fancy (a)
|
||
(cond ((eq (car a) 'frac)
|
||
(math-make-frac (math-normalize (nth 1 a))
|
||
(math-normalize (nth 2 a))))
|
||
((eq (car a) 'cplx)
|
||
(let ((real (math-normalize (nth 1 a)))
|
||
(imag (math-normalize (nth 2 a))))
|
||
(if (and (math-zerop imag)
|
||
(not math-simplify-only)) ; oh, what a kludge!
|
||
real
|
||
(list 'cplx real imag))))
|
||
((eq (car a) 'polar)
|
||
(math-normalize-polar a))
|
||
((eq (car a) 'hms)
|
||
(math-normalize-hms a))
|
||
((eq (car a) 'date)
|
||
(list 'date (math-normalize (nth 1 a))))
|
||
((eq (car a) 'mod)
|
||
(math-normalize-mod a))
|
||
((eq (car a) 'sdev)
|
||
(let ((x (math-normalize (nth 1 a)))
|
||
(s (math-normalize (nth 2 a))))
|
||
(if (or (and (Math-objectp x) (not (Math-scalarp x)))
|
||
(and (Math-objectp s) (not (Math-scalarp s))))
|
||
(list 'calcFunc-sdev x s)
|
||
(math-make-sdev x s))))
|
||
((eq (car a) 'intv)
|
||
(let ((mask (math-normalize (nth 1 a)))
|
||
(lo (math-normalize (nth 2 a)))
|
||
(hi (math-normalize (nth 3 a))))
|
||
(if (if (eq (car-safe lo) 'date)
|
||
(not (eq (car-safe hi) 'date))
|
||
(or (and (Math-objectp lo) (not (Math-anglep lo)))
|
||
(and (Math-objectp hi) (not (Math-anglep hi)))))
|
||
(list 'calcFunc-intv mask lo hi)
|
||
(math-make-intv mask lo hi))))
|
||
((eq (car a) 'vec)
|
||
(cons 'vec (mapcar #'math-normalize (cdr a))))
|
||
((eq (car a) 'quote)
|
||
(math-normalize (nth 1 a)))
|
||
((eq (car a) 'special-const)
|
||
(calc-with-default-simplification
|
||
(math-normalize (nth 1 a))))
|
||
((eq (car a) 'var)
|
||
(cons 'var (cdr a))) ; need to re-cons for selection routines
|
||
((eq (car a) 'calcFunc-if)
|
||
(math-normalize-logical-op a))
|
||
((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition))
|
||
(let ((calc-simplify-mode 'none))
|
||
(cons (car a) (mapcar #'math-normalize (cdr a)))))
|
||
((eq (car a) 'calcFunc-evalto)
|
||
(setq a (or (nth 1 a) 0))
|
||
(or calc-refreshing-evaltos
|
||
(setq a (let ((calc-simplify-mode 'none)) (math-normalize a))))
|
||
(let ((b (if (and (eq (car-safe a) 'calcFunc-assign)
|
||
(= (length a) 3))
|
||
(nth 2 a)
|
||
a)))
|
||
(list 'calcFunc-evalto
|
||
a
|
||
(if (eq calc-simplify-mode 'none)
|
||
(math-normalize b)
|
||
(calc-with-default-simplification
|
||
(math-evaluate-expr b))))))
|
||
((or (integerp (car a)) (consp (car a)))
|
||
(if (null (cdr a))
|
||
(math-normalize (car a))
|
||
(error "Can't use multi-valued function in an expression")))))
|
||
|
||
;; The variable math-normalize-a is local to math-normalize in calc.el,
|
||
;; but is used by math-normalize-nonstandard, which is called by
|
||
;; math-normalize.
|
||
(defun math-normalize-nonstandard (a)
|
||
(if (consp calc-simplify-mode)
|
||
(progn
|
||
(setq calc-simplify-mode 'none
|
||
math-simplify-only (car-safe (cdr-safe a)))
|
||
nil)
|
||
(and (symbolp (car a))
|
||
(or (eq calc-simplify-mode 'none)
|
||
(and (eq calc-simplify-mode 'num)
|
||
(let ((aptr (setq a
|
||
(cons
|
||
(car a)
|
||
(mapcar #'math-normalize
|
||
(cdr a))))))
|
||
(while (and aptr (math-constp (car aptr)))
|
||
(setq aptr (cdr aptr)))
|
||
aptr)))
|
||
(cons (car a)
|
||
(mapcar #'math-normalize (cdr a))))))
|
||
|
||
|
||
;;; Return 0 for zero, -1 for negative, 1 for positive. [S n] [Public]
|
||
(defun calcFunc-sign (a &optional x)
|
||
(let ((signs (math-possible-signs a)))
|
||
(cond ((eq signs 4) (or x 1))
|
||
((eq signs 2) 0)
|
||
((eq signs 1) (if x (math-neg x) -1))
|
||
((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a))))
|
||
(t (calc-record-why 'realp a)
|
||
(if x
|
||
(list 'calcFunc-sign a x)
|
||
(list 'calcFunc-sign a))))))
|
||
|
||
;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more.
|
||
;;; Arguments must be normalized! [S N N]
|
||
(defun math-compare (a b)
|
||
(cond ((equal a b)
|
||
(if (and (consp a)
|
||
(memq (car a) '(var neg * /))
|
||
(math-infinitep a))
|
||
2
|
||
0))
|
||
((and (integerp a) (Math-integerp b))
|
||
(if (< a b) -1 1))
|
||
((eq (car-safe a) 'frac)
|
||
(if (eq (car-safe b) 'frac)
|
||
(math-compare (math-mul (nth 1 a) (nth 2 b))
|
||
(math-mul (nth 1 b) (nth 2 a)))
|
||
(math-compare (nth 1 a) (math-mul b (nth 2 a)))))
|
||
((eq (car-safe b) 'frac)
|
||
(math-compare (math-mul a (nth 2 b)) (nth 1 b)))
|
||
((and (eq (car-safe a) 'float) (eq (car-safe b) 'float))
|
||
(if (math-lessp-float a b) -1 1))
|
||
((and (eq (car-safe a) 'date) (eq (car-safe b) 'date))
|
||
(math-compare (nth 1 a) (nth 1 b)))
|
||
((and (or (Math-anglep a)
|
||
(and (eq (car a) 'cplx) (eq (nth 2 a) 0)))
|
||
(or (Math-anglep b)
|
||
(and (eq (car b) 'cplx) (eq (nth 2 b) 0))))
|
||
(calcFunc-sign (math-add a (math-neg b))))
|
||
((and (eq (car-safe a) 'intv)
|
||
(or (Math-anglep b) (eq (car-safe b) 'date)))
|
||
(let ((res (math-compare (nth 2 a) b)))
|
||
(cond ((eq res 1) 1)
|
||
((and (eq res 0) (memq (nth 1 a) '(0 1))) 1)
|
||
((eq (setq res (math-compare (nth 3 a) b)) -1) -1)
|
||
((and (eq res 0) (memq (nth 1 a) '(0 2))) -1)
|
||
(t 2))))
|
||
((and (eq (car-safe b) 'intv)
|
||
(or (Math-anglep a) (eq (car-safe a) 'date)))
|
||
(let ((res (math-compare a (nth 2 b))))
|
||
(cond ((eq res -1) -1)
|
||
((and (eq res 0) (memq (nth 1 b) '(0 1))) -1)
|
||
((eq (setq res (math-compare a (nth 3 b))) 1) 1)
|
||
((and (eq res 0) (memq (nth 1 b) '(0 2))) 1)
|
||
(t 2))))
|
||
((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv))
|
||
(let ((res (math-compare (nth 3 a) (nth 2 b))))
|
||
(cond ((eq res -1) -1)
|
||
((and (eq res 0) (or (memq (nth 1 a) '(0 2))
|
||
(memq (nth 1 b) '(0 1)))) -1)
|
||
((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1)
|
||
((and (eq res 0) (or (memq (nth 1 a) '(0 1))
|
||
(memq (nth 1 b) '(0 2)))) 1)
|
||
(t 2))))
|
||
((math-infinitep a)
|
||
(if (or (equal a '(var uinf var-uinf))
|
||
(equal a '(var nan var-nan)))
|
||
2
|
||
(let ((dira (math-infinite-dir a)))
|
||
(if (math-infinitep b)
|
||
(if (or (equal b '(var uinf var-uinf))
|
||
(equal b '(var nan var-nan)))
|
||
2
|
||
(let ((dirb (math-infinite-dir b)))
|
||
(cond ((and (eq dira 1) (eq dirb -1)) 1)
|
||
((and (eq dira -1) (eq dirb 1)) -1)
|
||
(t 2))))
|
||
(cond ((eq dira 1) 1)
|
||
((eq dira -1) -1)
|
||
(t 2))))))
|
||
((math-infinitep b)
|
||
(if (or (equal b '(var uinf var-uinf))
|
||
(equal b '(var nan var-nan)))
|
||
2
|
||
(let ((dirb (math-infinite-dir b)))
|
||
(cond ((eq dirb 1) -1)
|
||
((eq dirb -1) 1)
|
||
(t 2)))))
|
||
((and (eq (car-safe a) 'calcFunc-exp)
|
||
(eq (car-safe b) '^)
|
||
(equal (nth 1 b) '(var e var-e)))
|
||
(math-compare (nth 1 a) (nth 2 b)))
|
||
((and (eq (car-safe b) 'calcFunc-exp)
|
||
(eq (car-safe a) '^)
|
||
(equal (nth 1 a) '(var e var-e)))
|
||
(math-compare (nth 2 a) (nth 1 b)))
|
||
((or (and (eq (car-safe a) 'calcFunc-sqrt)
|
||
(eq (car-safe b) '^)
|
||
(or (equal (nth 2 b) '(frac 1 2))
|
||
(equal (nth 2 b) '(float 5 -1))))
|
||
(and (eq (car-safe b) 'calcFunc-sqrt)
|
||
(eq (car-safe a) '^)
|
||
(or (equal (nth 2 a) '(frac 1 2))
|
||
(equal (nth 2 a) '(float 5 -1)))))
|
||
(math-compare (nth 1 a) (nth 1 b)))
|
||
((eq (car-safe a) 'var)
|
||
2)
|
||
(t
|
||
(if (and (consp a) (consp b)
|
||
(eq (car a) (car b))
|
||
(math-compare-lists (cdr a) (cdr b)))
|
||
0
|
||
2))))
|
||
|
||
(defun math-compare-lists (a b)
|
||
(cond ((null a) (null b))
|
||
((null b) nil)
|
||
(t (and (Math-equal (car a) (car b))
|
||
(math-compare-lists (cdr a) (cdr b))))))
|
||
|
||
(defun math-lessp-float (a b) ; [P F F]
|
||
(let ((ediff (- (nth 2 a) (nth 2 b))))
|
||
(if (>= ediff 0)
|
||
(if (>= ediff (+ calc-internal-prec calc-internal-prec))
|
||
(if (eq (nth 1 a) 0)
|
||
(Math-integer-posp (nth 1 b))
|
||
(Math-integer-negp (nth 1 a)))
|
||
(Math-lessp (math-scale-int (nth 1 a) ediff)
|
||
(nth 1 b)))
|
||
(if (>= (setq ediff (- ediff))
|
||
(+ calc-internal-prec calc-internal-prec))
|
||
(if (eq (nth 1 b) 0)
|
||
(Math-integer-negp (nth 1 a))
|
||
(Math-integer-posp (nth 1 b)))
|
||
(Math-lessp (nth 1 a)
|
||
(math-scale-int (nth 1 b) ediff))))))
|
||
|
||
;;; True if A is numerically equal to B. [P N N] [Public]
|
||
(defun math-equal (a b)
|
||
(= (math-compare a b) 0))
|
||
|
||
;;; True if A is numerically less than B. [P R R] [Public]
|
||
(defun math-lessp (a b)
|
||
(= (math-compare a b) -1))
|
||
|
||
;;; True if A is numerically equal to the integer B. [P N S] [Public]
|
||
;;; B must not be a multiple of 10.
|
||
(defun math-equal-int (a b)
|
||
(or (eql a b)
|
||
(and (eq (car-safe a) 'float)
|
||
(eql (nth 1 a) b)
|
||
(= (nth 2 a) 0))))
|
||
|
||
|
||
|
||
|
||
;;; Return the dimensions of a matrix as a list. [l x] [Public]
|
||
(defun math-mat-dimens (m)
|
||
(if (math-vectorp m)
|
||
(if (math-matrixp m)
|
||
(cons (1- (length m))
|
||
(math-mat-dimens (nth 1 m)))
|
||
(list (1- (length m))))
|
||
nil))
|
||
|
||
|
||
|
||
(defun calc-binary-op-fancy (name func arg ident unary)
|
||
(let ((n (prefix-numeric-value arg)))
|
||
(cond ((> n 1)
|
||
(calc-enter-result n
|
||
name
|
||
(list 'calcFunc-reduce
|
||
(math-calcFunc-to-var func)
|
||
(cons 'vec (calc-top-list-n n)))))
|
||
((= n 1)
|
||
(if unary
|
||
(calc-enter-result 1 name (list unary (calc-top-n 1)))))
|
||
((= n 0)
|
||
(if ident
|
||
(calc-enter-result 0 name ident)
|
||
(error "Argument must be nonzero")))
|
||
(t
|
||
(let ((rhs (calc-top-n 1)))
|
||
(calc-enter-result (- 1 n)
|
||
name
|
||
(mapcar (lambda (x)
|
||
(list func x rhs))
|
||
(calc-top-list-n (- n) 2))))))))
|
||
|
||
(defun calc-unary-op-fancy (name func arg)
|
||
(let ((n (prefix-numeric-value arg)))
|
||
(if (= n 0) (setq n (calc-stack-size)))
|
||
(cond ((> n 0)
|
||
(calc-enter-result n
|
||
name
|
||
(mapcar (lambda (x)
|
||
(list func x))
|
||
(calc-top-list-n n))))
|
||
((< n 0)
|
||
(calc-enter-result 1
|
||
name
|
||
(list func (calc-top-n (- n)))
|
||
(- n))))))
|
||
|
||
(defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun)))
|
||
(defvar var-Decls (list 'vec))
|
||
|
||
|
||
(defun math-inexact-result ()
|
||
(and calc-symbolic-mode
|
||
(signal 'inexact-result nil)))
|
||
|
||
(defun math-overflow (&optional exp)
|
||
(if (and exp (math-negp exp))
|
||
(math-underflow)
|
||
(signal 'math-overflow nil)))
|
||
|
||
(defun math-underflow ()
|
||
(signal 'math-underflow nil))
|
||
|
||
;;; Compute the greatest common divisor of A and B. [I I I] [Public]
|
||
(defun math-gcd (a b)
|
||
(cond ((not (or (consp a) (consp b)))
|
||
(if (< a 0) (setq a (- a)))
|
||
(if (< b 0) (setq b (- b)))
|
||
(let (c)
|
||
(if (< a b)
|
||
(setq c b b a a c))
|
||
(while (> b 0)
|
||
(setq c b
|
||
b (% a b)
|
||
a c))
|
||
a))
|
||
((eq a 0) b)
|
||
((eq b 0) a)
|
||
(t
|
||
(if (Math-integer-negp a) (setq a (math-neg a)))
|
||
(if (Math-integer-negp b) (setq b (math-neg b)))
|
||
(let (c)
|
||
(if (< a b)
|
||
(setq c b b a a c))
|
||
(while (and (consp a) (not (eq b 0)))
|
||
(setq c b
|
||
b (math-imod a b)
|
||
a c))
|
||
(while (> b 0)
|
||
(setq c b
|
||
b (% a b)
|
||
a c))
|
||
a))))
|
||
|
||
|
||
;;;; Algebra.
|
||
|
||
;;; Evaluate variables in an expression.
|
||
(defun math-evaluate-expr (x) ; [Public]
|
||
(if calc-embedded-info
|
||
(calc-embedded-evaluate-expr x)
|
||
(calc-normalize (math-evaluate-expr-rec x))))
|
||
|
||
(defalias 'calcFunc-evalv 'math-evaluate-expr)
|
||
|
||
(defun calcFunc-evalvn (x &optional prec)
|
||
(if prec
|
||
(progn
|
||
(or (math-num-integerp prec)
|
||
(if (and (math-vectorp prec)
|
||
(= (length prec) 2)
|
||
(math-num-integerp (nth 1 prec)))
|
||
(setq prec (math-add (nth 1 prec) calc-internal-prec))
|
||
(math-reject-arg prec 'integerp)))
|
||
(setq prec (math-trunc prec))
|
||
(if (< prec 3) (setq prec 3))
|
||
(if (> prec calc-internal-prec)
|
||
(math-normalize
|
||
(let ((calc-internal-prec prec))
|
||
(calcFunc-evalvn x)))
|
||
(let ((calc-internal-prec prec))
|
||
(calcFunc-evalvn x))))
|
||
(let ((calc-symbolic-mode nil))
|
||
(math-evaluate-expr x))))
|
||
|
||
(defun math-evaluate-expr-rec (x)
|
||
(if (consp x)
|
||
(if (memq (car x) '(calcFunc-quote calcFunc-condition
|
||
calcFunc-evalto calcFunc-assign))
|
||
(if (and (eq (car x) 'calcFunc-assign)
|
||
(= (length x) 3))
|
||
(list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x)))
|
||
x)
|
||
(if (eq (car x) 'var)
|
||
(if (and (calc-var-value (nth 2 x))
|
||
(not (eq (car-safe (symbol-value (nth 2 x)))
|
||
'incomplete)))
|
||
(let ((val (symbol-value (nth 2 x))))
|
||
(if (eq (car-safe val) 'special-const)
|
||
(if calc-symbolic-mode
|
||
x
|
||
val)
|
||
val))
|
||
x)
|
||
(if (Math-primp x)
|
||
x
|
||
(cons (car x) (mapcar #'math-evaluate-expr-rec (cdr x))))))
|
||
x))
|
||
|
||
(defun math-any-floats (expr)
|
||
(if (Math-primp expr)
|
||
(math-floatp expr)
|
||
(while (and (setq expr (cdr expr)) (not (math-any-floats (car expr)))))
|
||
expr))
|
||
|
||
(defvar var-FactorRules 'calc-FactorRules)
|
||
|
||
(defvar math-mt-many nil)
|
||
(defvar math-mt-func nil)
|
||
|
||
(defun math-map-tree (func mmt-expr &optional many)
|
||
(let ((math-mt-func func)
|
||
(math-mt-many (or many 1000000)))
|
||
(math-map-tree-rec mmt-expr)))
|
||
|
||
(defun math-map-tree-rec (mmt-expr)
|
||
(or (= math-mt-many 0)
|
||
(let ((mmt-done nil)
|
||
mmt-nextval)
|
||
(while (not mmt-done)
|
||
(while (and (/= math-mt-many 0)
|
||
(setq mmt-nextval (funcall math-mt-func mmt-expr))
|
||
(not (equal mmt-expr mmt-nextval)))
|
||
(setq mmt-expr mmt-nextval
|
||
math-mt-many (if (> math-mt-many 0)
|
||
(1- math-mt-many)
|
||
(1+ math-mt-many))))
|
||
(if (or (Math-primp mmt-expr)
|
||
(<= math-mt-many 0))
|
||
(setq mmt-done t)
|
||
(setq mmt-nextval (cons (car mmt-expr)
|
||
(mapcar #'math-map-tree-rec
|
||
(cdr mmt-expr))))
|
||
(if (equal mmt-nextval mmt-expr)
|
||
(setq mmt-done t)
|
||
(setq mmt-expr mmt-nextval))))))
|
||
mmt-expr)
|
||
|
||
(defun math-is-true (expr)
|
||
(if (Math-numberp expr)
|
||
(not (Math-zerop expr))
|
||
(math-known-nonzerop expr)))
|
||
|
||
(defun math-const-var (expr)
|
||
(and (consp expr)
|
||
(eq (car expr) 'var)
|
||
(or (and (symbolp (nth 2 expr))
|
||
(boundp (nth 2 expr))
|
||
(eq (car-safe (symbol-value (nth 2 expr))) 'special-const))
|
||
(memq (nth 2 expr) '(var-inf var-uinf var-nan)))))
|
||
|
||
;; The variable math-integral-cache is originally declared in calcalg2.el,
|
||
;; but is set by math-defintegral and math-defintegral-2.
|
||
(defvar math-integral-cache)
|
||
|
||
(defmacro math-defintegral (funcs &rest code)
|
||
(declare (indent 1) (debug (sexp body)))
|
||
(setq math-integral-cache nil)
|
||
(cons 'progn
|
||
(mapcar (lambda (func)
|
||
`(put ',func 'math-integral
|
||
(nconc
|
||
(get ',func 'math-integral)
|
||
(list
|
||
(lambda (u) ,@code)))))
|
||
(if (symbolp funcs) (list funcs) funcs))))
|
||
|
||
(defmacro math-defintegral-2 (funcs &rest code)
|
||
(declare (indent 1) (debug (sexp body)))
|
||
(setq math-integral-cache nil)
|
||
(cons 'progn
|
||
(mapcar (lambda (func)
|
||
`(put ',func 'math-integral-2
|
||
(nconc
|
||
(get ',func 'math-integral-2)
|
||
(list (lambda (u v) ,@code)))))
|
||
(if (symbolp funcs) (list funcs) funcs))))
|
||
|
||
(defvar var-IntegAfterRules 'calc-IntegAfterRules)
|
||
|
||
(defvar var-FitRules 'calc-FitRules)
|
||
|
||
(defvar math-poly-base-variable nil)
|
||
(defvar math-poly-neg-powers nil)
|
||
(defvar math-poly-mult-powers 1)
|
||
(defvar math-poly-frac-powers nil)
|
||
(defvar math-poly-exp-base nil)
|
||
|
||
(defun math-build-var-name (name)
|
||
(if (stringp name)
|
||
(setq name (intern name)))
|
||
(if (string-match "\\`var-." (symbol-name name))
|
||
(list 'var (intern (substring (symbol-name name) 4)) name)
|
||
(list 'var name (intern (concat "var-" (symbol-name name))))))
|
||
|
||
(defvar math-simplifying-units nil)
|
||
(defvar math-combining-units t)
|
||
|
||
;;; Nontrivial number parsing.
|
||
|
||
(defun math-read-number-fancy (s)
|
||
(cond
|
||
|
||
;; Integer+fractions
|
||
((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
|
||
(let ((int (math-match-substring s 1))
|
||
(num (math-match-substring s 2))
|
||
(den (math-match-substring s 3)))
|
||
(let ((int (if (> (length int) 0) (math-read-number int) 0))
|
||
(num (if (> (length num) 0) (math-read-number num) 1))
|
||
(den (if (> (length num) 0) (math-read-number den) 1)))
|
||
(and int num den
|
||
(math-integerp int) (math-integerp num) (math-integerp den)
|
||
(not (math-zerop den))
|
||
(list 'frac (math-add num (math-mul int den)) den)))))
|
||
|
||
;; Fractions
|
||
((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
|
||
(let ((num (math-match-substring s 1))
|
||
(den (math-match-substring s 2)))
|
||
(let ((num (if (> (length num) 0) (math-read-number num) 1))
|
||
(den (if (> (length num) 0) (math-read-number den) 1)))
|
||
(and num den (math-integerp num) (math-integerp den)
|
||
(not (math-zerop den))
|
||
(list 'frac num den)))))
|
||
|
||
;; Modulo forms
|
||
((string-match "^\\(.*\\) *mod *\\(.*\\)$" s)
|
||
(let* ((n (math-match-substring s 1))
|
||
(m (math-match-substring s 2))
|
||
(n (math-read-number n))
|
||
(m (math-read-number m)))
|
||
(and n m (math-anglep n) (math-anglep m)
|
||
(list 'mod n m))))
|
||
|
||
;; Error forms
|
||
((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s)
|
||
(let* ((x (math-match-substring s 1))
|
||
(sigma (math-match-substring s 2))
|
||
(x (math-read-number x))
|
||
(sigma (math-read-number sigma)))
|
||
(and x sigma (math-scalarp x) (math-anglep sigma)
|
||
(list 'sdev x sigma))))
|
||
|
||
;; Integer+fraction with explicit radix
|
||
((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s)
|
||
(let ((radix (string-to-number (math-match-substring s 1)))
|
||
(int (math-match-substring s 3))
|
||
(num (math-match-substring s 4))
|
||
(den (math-match-substring s 5)))
|
||
(let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
|
||
(num (if (> (length num) 0) (math-read-radix num radix) 1))
|
||
(den (if (> (length den) 0) (math-read-radix den radix) 1)))
|
||
(and int num den (not (math-zerop den))
|
||
(list 'frac
|
||
(math-add num (math-mul int den))
|
||
den)))))
|
||
|
||
;; Fraction with explicit radix
|
||
((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s)
|
||
(let ((radix (string-to-number (math-match-substring s 1)))
|
||
(num (math-match-substring s 3))
|
||
(den (math-match-substring s 4)))
|
||
(let ((num (if (> (length num) 0) (math-read-radix num radix) 1))
|
||
(den (if (> (length den) 0) (math-read-radix den radix) 1)))
|
||
(and num den (not (math-zerop den)) (list 'frac num den)))))
|
||
|
||
;; Float with explicit radix and exponent
|
||
((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s)
|
||
(string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s))
|
||
(let ((radix (string-to-number (math-match-substring s 2)))
|
||
(mant (math-match-substring s 1))
|
||
(exp (math-match-substring s 4)))
|
||
(let ((mant (math-read-number mant))
|
||
(exp (math-read-number exp)))
|
||
(and mant exp
|
||
(math-mul mant (math-pow (math-float radix) exp))))))
|
||
|
||
;; Float with explicit radix, no exponent
|
||
((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s)
|
||
(let ((radix (string-to-number (math-match-substring s 1)))
|
||
(int (math-match-substring s 3))
|
||
(fracs (math-match-substring s 4)))
|
||
(let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
|
||
(frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0))
|
||
(calc-prefer-frac nil))
|
||
(and int frac
|
||
(math-add int (math-div frac (math-pow radix (length fracs))))))))
|
||
|
||
;; Integer with explicit radix
|
||
((string-match "^\\([0-9]+\\)\\(#&?\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s)
|
||
(math-read-radix (math-match-substring s 3)
|
||
(string-to-number (math-match-substring s 1))))
|
||
|
||
;; Two's complement with explicit radix
|
||
((string-match "^\\([0-9]+\\)\\(##\\)\\([0-9a-zA-Z]+\\)$" s)
|
||
(let ((num (math-read-radix (math-match-substring s 3)
|
||
(string-to-number (math-match-substring s 1)))))
|
||
(if (and
|
||
(Math-lessp num math-2-word-size)
|
||
(<= (math-compare math-half-2-word-size num) 0))
|
||
(math-sub num math-2-word-size)
|
||
num)))
|
||
|
||
;; C language hexadecimal notation
|
||
((and (eq calc-language 'c)
|
||
(string-match "^0[xX]\\([[:xdigit:]]+\\)$" s))
|
||
(let ((digs (math-match-substring s 1)))
|
||
(math-read-radix digs 16)))
|
||
|
||
;; Pascal language hexadecimal notation
|
||
((and (eq calc-language 'pascal)
|
||
(string-match "^\\$\\([[:xdigit:]]+\\)$" s))
|
||
(let ((digs (math-match-substring s 1)))
|
||
(math-read-radix digs 16)))
|
||
|
||
;; Hours (or degrees)
|
||
((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s)
|
||
(string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s))
|
||
(let* ((hours (math-match-substring s 1))
|
||
(minsec (math-match-substring s 2))
|
||
(hours (math-read-number hours))
|
||
(minsec (if (> (length minsec) 0) (math-read-number minsec) 0)))
|
||
(and hours minsec
|
||
(math-num-integerp hours)
|
||
(not (math-negp hours)) (not (math-negp minsec))
|
||
(cond ((math-num-integerp minsec)
|
||
(and (Math-lessp minsec 60)
|
||
(list 'hms hours minsec 0)))
|
||
((and (eq (car-safe minsec) 'hms)
|
||
(math-zerop (nth 1 minsec)))
|
||
(math-add (list 'hms hours 0 0) minsec))
|
||
(t nil)))))
|
||
|
||
;; Minutes
|
||
((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s)
|
||
(let* ((minutes (math-match-substring s 1))
|
||
(seconds (math-match-substring s 2))
|
||
(minutes (math-read-number minutes))
|
||
(seconds (if (> (length seconds) 0) (math-read-number seconds) 0)))
|
||
(and minutes seconds
|
||
(math-num-integerp minutes)
|
||
(not (math-negp minutes)) (not (math-negp seconds))
|
||
(cond ((math-realp seconds)
|
||
(and (Math-lessp minutes 60)
|
||
(list 'hms 0 minutes seconds)))
|
||
((and (eq (car-safe seconds) 'hms)
|
||
(math-zerop (nth 1 seconds))
|
||
(math-zerop (nth 2 seconds)))
|
||
(math-add (list 'hms 0 minutes 0) seconds))
|
||
(t nil)))))
|
||
|
||
;; Seconds
|
||
((string-match "^\\([^\"#^]+\\)[sS\"]$" s)
|
||
(let ((seconds (math-read-number (math-match-substring s 1))))
|
||
(and seconds (math-realp seconds)
|
||
(not (math-negp seconds))
|
||
(Math-lessp seconds 60)
|
||
(list 'hms 0 0 seconds))))
|
||
|
||
;; Fraction using "/" instead of ":"
|
||
((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s)
|
||
(math-read-number (concat (math-match-substring s 1) ":"
|
||
(math-match-substring s 2))))
|
||
|
||
;; Syntax error!
|
||
(t nil)))
|
||
|
||
(defun math-read-radix (s r) ; [I X D]
|
||
(setq s (upcase s))
|
||
(let ((i 0)
|
||
(res 0)
|
||
dig)
|
||
(while (and (< i (length s))
|
||
(setq dig (math-read-radix-digit (elt s i)))
|
||
(< dig r))
|
||
(setq res (math-add (math-mul res r) dig)
|
||
i (1+ i)))
|
||
(and (= i (length s))
|
||
res)))
|
||
|
||
|
||
|
||
;;; Expression parsing.
|
||
|
||
(defvar math-expr-data)
|
||
(defvar math-exp-pos)
|
||
(defvar math-exp-old-pos)
|
||
(defvar math-exp-keep-spaces)
|
||
(defvar math-exp-token)
|
||
(defvar math-expr-data)
|
||
(defvar math-exp-str)
|
||
|
||
(defun math-read-expr (str)
|
||
(let ((math-exp-pos 0)
|
||
(math-exp-str str)
|
||
(math-exp-old-pos 0)
|
||
(math-exp-keep-spaces nil)
|
||
math-exp-token math-expr-data)
|
||
(setq math-exp-str (math-read-preprocess-string math-exp-str))
|
||
(while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
|
||
(setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots"
|
||
(substring math-exp-str (+ math-exp-token 2)))))
|
||
(math-build-parse-table)
|
||
(math-read-token)
|
||
(let ((val (catch 'syntax (math-read-expr-level 0))))
|
||
(if (stringp val)
|
||
(list 'error math-exp-old-pos val)
|
||
(if (equal math-exp-token 'end)
|
||
val
|
||
(list 'error math-exp-old-pos "Syntax error"))))))
|
||
|
||
(defun math-read-plain-expr (exp-str &optional error-check)
|
||
(let* ((calc-language nil)
|
||
(math-expr-opers (math-standard-ops))
|
||
(val (math-read-expr exp-str)))
|
||
(and error-check
|
||
(eq (car-safe val) 'error)
|
||
(error "%s: %s" (nth 2 val) exp-str))
|
||
val))
|
||
|
||
|
||
(defun math-read-string ()
|
||
(let ((str (read-from-string (concat math-expr-data "\""))))
|
||
(or (and (= (cdr str) (1+ (length math-expr-data)))
|
||
(stringp (car str)))
|
||
(throw 'syntax "Error in string constant"))
|
||
(math-read-token)
|
||
(append '(vec) (car str) nil)))
|
||
|
||
|
||
|
||
;;; They said it couldn't be done...
|
||
|
||
(defvar math-read-big-baseline)
|
||
(defvar math-read-big-h2)
|
||
(defvar math-read-big-err-msg)
|
||
(defvar math-read-big-lines)
|
||
|
||
(defun math-read-big-expr (str)
|
||
(and (> (length calc-left-label) 0)
|
||
(string-match (concat "^" (regexp-quote calc-left-label)) str)
|
||
(setq str (concat (substring str 0 (match-beginning 0))
|
||
(substring str (match-end 0)))))
|
||
(and (> (length calc-right-label) 0)
|
||
(string-match (concat (regexp-quote calc-right-label) " *$") str)
|
||
(setq str (concat (substring str 0 (match-beginning 0))
|
||
(substring str (match-end 0)))))
|
||
(if (string-match "\\\\[^ \n|]" str)
|
||
(if (eq calc-language 'latex)
|
||
(math-read-expr str)
|
||
(let ((calc-language 'latex)
|
||
(calc-language-option nil)
|
||
(math-expr-opers (get 'latex 'math-oper-table))
|
||
(math-expr-function-mapping (get 'latex 'math-function-table))
|
||
(math-expr-variable-mapping (get 'latex 'math-variable-table)))
|
||
(math-read-expr str)))
|
||
(let ((math-read-big-lines nil)
|
||
(pos 0)
|
||
(width 0)
|
||
(math-read-big-err-msg nil)
|
||
math-read-big-baseline math-read-big-h2
|
||
new-pos p)
|
||
(while (setq new-pos (string-search "\n" str pos))
|
||
(setq math-read-big-lines
|
||
(cons (substring str pos new-pos) math-read-big-lines)
|
||
pos (1+ new-pos)))
|
||
(setq math-read-big-lines
|
||
(nreverse (cons (substring str pos) math-read-big-lines))
|
||
p math-read-big-lines)
|
||
(while p
|
||
(setq width (max width (length (car p)))
|
||
p (cdr p)))
|
||
(if (math-read-big-bigp math-read-big-lines)
|
||
(or (catch 'syntax
|
||
(math-read-big-rec 0 0 width (length math-read-big-lines)))
|
||
math-read-big-err-msg
|
||
'(error 0 "Syntax error"))
|
||
(math-read-expr str)))))
|
||
|
||
(defvar math-rb-h2)
|
||
|
||
(defun math-read-big-bigp (read-big-lines)
|
||
(when (cdr read-big-lines)
|
||
(let ((math-read-big-lines read-big-lines)
|
||
(matrix nil)
|
||
(v 0)
|
||
(height (if (> (length (car read-big-lines)) 0) 1 0)))
|
||
(while (and (cdr math-read-big-lines)
|
||
(let* ((i 0)
|
||
j
|
||
(l1 (car math-read-big-lines))
|
||
(l2 (nth 1 math-read-big-lines))
|
||
(len (min (length l1) (length l2))))
|
||
(if (> (length l2) 0)
|
||
(setq height (1+ height)))
|
||
(while (and (< i len)
|
||
(or (memq (aref l1 i) '(?\ ?\- ?\_))
|
||
(memq (aref l2 i) '(?\ ?\-))
|
||
(and (memq (aref l1 i) '(?\| ?\,))
|
||
(= (aref l2 i) (aref l1 i)))
|
||
(and (eq (aref l1 i) ?\[)
|
||
(eq (aref l2 i) ?\[)
|
||
(let ((math-rb-h2 (length l1)))
|
||
(setq j (math-read-big-balance
|
||
(1+ i) v "[")))
|
||
(setq i (1- j)))))
|
||
(setq i (1+ i)))
|
||
(or (= i len)
|
||
(and (eq (aref l1 i) ?\[)
|
||
(eq (aref l2 i) ?\[)
|
||
(setq matrix t)
|
||
nil))))
|
||
(setq math-read-big-lines (cdr math-read-big-lines)
|
||
v (1+ v)))
|
||
(or (and (> height 1)
|
||
(not (cdr math-read-big-lines)))
|
||
matrix))))
|
||
|
||
;;; Nontrivial "flat" formatting.
|
||
|
||
(defvar math-format-hash-args nil)
|
||
(defvar calc-can-abbrev-vectors nil)
|
||
|
||
(defun math-format-flat-expr-fancy (a prec)
|
||
(cond
|
||
((eq (car a) 'incomplete)
|
||
(format "<incomplete %s>" (nth 1 a)))
|
||
((eq (car a) 'vec)
|
||
(if (or calc-full-trail-vectors (not calc-can-abbrev-vectors)
|
||
(< (length a) 7))
|
||
(concat "[" (math-format-flat-vector (cdr a) ", "
|
||
(if (cdr (cdr a)) 0 1000)) "]")
|
||
(concat "["
|
||
(math-format-flat-expr (nth 1 a) 0) ", "
|
||
(math-format-flat-expr (nth 2 a) 0) ", "
|
||
(math-format-flat-expr (nth 3 a) 0) ", ..., "
|
||
(math-format-flat-expr (nth (1- (length a)) a) 0) "]")))
|
||
((eq (car a) 'intv)
|
||
(concat (if (memq (nth 1 a) '(0 1)) "(" "[")
|
||
(math-format-flat-expr (nth 2 a) 1000)
|
||
" .. "
|
||
(math-format-flat-expr (nth 3 a) 1000)
|
||
(if (memq (nth 1 a) '(0 2)) ")" "]")))
|
||
((eq (car a) 'date)
|
||
(concat "<" (math-format-date a) ">"))
|
||
((and (eq (car a) 'calcFunc-lambda) (> (length a) 2))
|
||
(let ((p (cdr a))
|
||
(ap calc-arg-values)
|
||
(math-format-hash-args (if (= (length a) 3) 1 t)))
|
||
(while (and (cdr p) (equal (car p) (car ap)))
|
||
(setq p (cdr p) ap (cdr ap)))
|
||
(concat "<"
|
||
(if (cdr p)
|
||
(concat (math-format-flat-vector
|
||
(nreverse (cdr (reverse (cdr a)))) ", " 0)
|
||
" : ")
|
||
"")
|
||
(math-format-flat-expr (nth (1- (length a)) a) 0)
|
||
">")))
|
||
((eq (car a) 'var)
|
||
(or (and math-format-hash-args
|
||
(let ((p calc-arg-values) (v 1))
|
||
(while (and p (not (equal (car p) a)))
|
||
(setq p (and (eq math-format-hash-args t) (cdr p))
|
||
v (1+ v)))
|
||
(and p
|
||
(if (eq math-format-hash-args 1)
|
||
"#"
|
||
(format "#%d" v)))))
|
||
(symbol-name (nth 1 a))))
|
||
((and (memq (car a) '(calcFunc-string calcFunc-bstring))
|
||
(= (length a) 2)
|
||
(math-vectorp (nth 1 a))
|
||
(math-vector-is-string (nth 1 a)))
|
||
(concat (substring (symbol-name (car a)) 9)
|
||
"(" (math-vector-to-string (nth 1 a) t) ")"))
|
||
(t
|
||
(let ((op (math-assq2 (car a) (math-standard-ops))))
|
||
(cond ((and op (= (length a) 3))
|
||
(if (> prec (min (nth 2 op) (nth 3 op)))
|
||
(concat "(" (math-format-flat-expr a 0) ")")
|
||
(let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op)))
|
||
(rhs (math-format-flat-expr (nth 2 a) (nth 3 op))))
|
||
(setq op (car op))
|
||
(if (or (equal op "^") (equal op "_"))
|
||
(if (= (aref lhs 0) ?-)
|
||
(setq lhs (concat "(" lhs ")")))
|
||
(setq op (concat " " op " ")))
|
||
(concat lhs op rhs))))
|
||
((eq (car a) 'neg)
|
||
(concat "-" (math-format-flat-expr (nth 1 a) 1000)))
|
||
(t
|
||
(concat (math-remove-dashes
|
||
(if (string-match "\\`calcFunc-\\([a-zA-Zα-ωΑ-Ω0-9']+\\)\\'"
|
||
(symbol-name (car a)))
|
||
(math-match-substring (symbol-name (car a)) 1)
|
||
(symbol-name (car a))))
|
||
"("
|
||
(math-format-flat-vector (cdr a) ", " 0)
|
||
")")))))))
|
||
|
||
(defun math-format-flat-vector (vec sep prec)
|
||
(if vec
|
||
(let ((buf (math-format-flat-expr (car vec) prec)))
|
||
(while (setq vec (cdr vec))
|
||
(setq buf (concat buf sep (math-format-flat-expr (car vec) prec))))
|
||
buf)
|
||
""))
|
||
|
||
(defun math-format-nice-expr (x w)
|
||
(cond ((and (eq (car-safe x) 'vec)
|
||
(cdr (cdr x))
|
||
(let ((ops '(vec calcFunc-assign calcFunc-condition
|
||
calcFunc-schedule calcFunc-iterations
|
||
calcFunc-phase)))
|
||
(or (memq (car-safe (nth 1 x)) ops)
|
||
(memq (car-safe (nth 2 x)) ops)
|
||
(memq (car-safe (nth 3 x)) ops)
|
||
calc-break-vectors)))
|
||
(concat "[ " (math-format-flat-vector (cdr x) ",\n " 0) " ]"))
|
||
(t
|
||
(let ((str (math-format-flat-expr x 0))
|
||
(pos 0) p)
|
||
(or (string-search "\"" str)
|
||
(while (<= (setq p (+ pos w)) (length str))
|
||
(while (and (> (setq p (1- p)) pos)
|
||
(not (= (aref str p) ? ))))
|
||
(if (> p (+ pos 5))
|
||
(setq str (concat (substring str 0 p)
|
||
"\n "
|
||
(substring str p))
|
||
pos (1+ p))
|
||
(setq pos (+ pos w)))))
|
||
str))))
|
||
|
||
(defun math-assq2 (v a)
|
||
(while (and a (not (eq v (nth 1 (car a)))))
|
||
(setq a (cdr a)))
|
||
(car a))
|
||
|
||
(defun math-format-number-fancy (a prec)
|
||
(cond
|
||
((eq (car a) 'float) ; non-decimal radix
|
||
(if (Math-integer-negp (nth 1 a))
|
||
(concat "-" (math-format-number (math-neg a)))
|
||
(let ((str (if (and calc-radix-formatter
|
||
(not (memq calc-language '(c pascal))))
|
||
(funcall calc-radix-formatter
|
||
calc-number-radix
|
||
(math-format-radix-float a prec))
|
||
(format "%d#%s" calc-number-radix
|
||
(math-format-radix-float a prec)))))
|
||
(if (and prec (> prec 191) (string-search "*" str))
|
||
(concat "(" str ")")
|
||
str))))
|
||
((eq (car a) 'frac)
|
||
(setq a (math-adjust-fraction a))
|
||
(if (> (length (car calc-frac-format)) 1)
|
||
(if (Math-integer-negp (nth 1 a))
|
||
(concat "-" (math-format-number (math-neg a)))
|
||
(let ((q (math-idivmod (nth 1 a) (nth 2 a))))
|
||
(concat (let ((calc-frac-format nil))
|
||
(math-format-number (car q)))
|
||
(substring (car calc-frac-format) 0 1)
|
||
(let ((math-radix-explicit-format nil)
|
||
(calc-frac-format nil))
|
||
(math-format-number (cdr q)))
|
||
(substring (car calc-frac-format) 1 2)
|
||
(let ((math-radix-explicit-format nil)
|
||
(calc-frac-format nil))
|
||
(math-format-number (nth 2 a))))))
|
||
(concat (let ((calc-frac-format nil))
|
||
(math-format-number (nth 1 a)))
|
||
(car calc-frac-format)
|
||
(let ((math-radix-explicit-format nil)
|
||
(calc-frac-format nil))
|
||
(math-format-number (nth 2 a))))))
|
||
((eq (car a) 'cplx)
|
||
(if (math-zerop (nth 2 a))
|
||
(math-format-number (nth 1 a))
|
||
(if (null calc-complex-format)
|
||
(concat "(" (math-format-number (nth 1 a))
|
||
", " (math-format-number (nth 2 a)) ")")
|
||
(if (math-zerop (nth 1 a))
|
||
(if (math-equal-int (nth 2 a) 1)
|
||
(symbol-name calc-complex-format)
|
||
(if (math-equal-int (nth 2 a) -1)
|
||
(concat "-" (symbol-name calc-complex-format))
|
||
(if prec
|
||
(math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec)
|
||
(concat (math-format-number (nth 2 a)) " "
|
||
(symbol-name calc-complex-format)))))
|
||
(if prec
|
||
(math-compose-expr (list (if (math-negp (nth 2 a)) '- '+)
|
||
(nth 1 a)
|
||
(list 'cplx 0 (math-abs (nth 2 a))))
|
||
prec)
|
||
(concat (math-format-number (nth 1 a))
|
||
(if (math-negp (nth 2 a)) " - " " + ")
|
||
(math-format-number
|
||
(list 'cplx 0 (math-abs (nth 2 a))))))))))
|
||
((eq (car a) 'polar)
|
||
(concat "(" (math-format-number (nth 1 a))
|
||
"; " (math-format-number (nth 2 a)) ")"))
|
||
((eq (car a) 'hms)
|
||
(if (math-negp a)
|
||
(concat "-" (math-format-number (math-neg a)))
|
||
(let ((calc-number-radix 10)
|
||
(calc-twos-complement-mode nil)
|
||
(calc-leading-zeros nil)
|
||
(calc-group-digits nil))
|
||
(format calc-hms-format
|
||
(let ((calc-frac-format '(":" nil)))
|
||
(math-format-number (nth 1 a)))
|
||
(let ((calc-frac-format '(":" nil)))
|
||
(math-format-number (nth 2 a)))
|
||
(math-format-number (nth 3 a))))))
|
||
((eq (car a) 'intv)
|
||
(concat (if (memq (nth 1 a) '(0 1)) "(" "[")
|
||
(math-format-number (nth 2 a))
|
||
" .. "
|
||
(math-format-number (nth 3 a))
|
||
(if (memq (nth 1 a) '(0 2)) ")" "]")))
|
||
((eq (car a) 'sdev)
|
||
(concat (math-format-number (nth 1 a))
|
||
" +/- "
|
||
(math-format-number (nth 2 a))))
|
||
((eq (car a) 'vec)
|
||
(math-format-flat-expr a 0))
|
||
(t (format "%s" a))))
|
||
|
||
(defun math-adjust-fraction (a)
|
||
(if (nth 1 calc-frac-format)
|
||
(progn
|
||
(if (Math-integerp a) (setq a (list 'frac a 1)))
|
||
(let ((g (math-quotient (nth 1 calc-frac-format)
|
||
(math-gcd (nth 2 a)
|
||
(nth 1 calc-frac-format)))))
|
||
(list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g))))
|
||
a))
|
||
|
||
(defun math--format-integer-fancy (a) ; [I]
|
||
(let ((str (if (= calc-number-radix 10)
|
||
(number-to-string a)
|
||
(math-format-radix a))))
|
||
(if calc-leading-zeros
|
||
(let* ((calc-internal-prec 6)
|
||
(digs (math-compute-max-digits (math-abs calc-word-size)
|
||
calc-number-radix))
|
||
(len (length str)))
|
||
(if (< len digs)
|
||
(setq str (concat (make-string (- digs len) ?0) str)))))
|
||
(if calc-group-digits
|
||
(let ((i (length str))
|
||
(g (if (integerp calc-group-digits)
|
||
(math-abs calc-group-digits)
|
||
(if (memq calc-number-radix '(2 16)) 4 3))))
|
||
(while (> i g)
|
||
(setq i (- i g)
|
||
str (concat (substring str 0 i)
|
||
calc-group-char
|
||
(substring str i))))
|
||
str))
|
||
(if (and (/= calc-number-radix 10)
|
||
math-radix-explicit-format)
|
||
(if calc-radix-formatter
|
||
(funcall calc-radix-formatter calc-number-radix str)
|
||
(format "%d#%s" calc-number-radix str))
|
||
str)))
|
||
|
||
|
||
(defun math-group-float (str) ; [X X]
|
||
(let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str)))
|
||
(g (if (integerp calc-group-digits) (math-abs calc-group-digits)
|
||
(if (memq calc-number-radix '(2 16)) 4 3)))
|
||
(i pt))
|
||
(if (and (integerp calc-group-digits) (< calc-group-digits 0))
|
||
(while (< (setq i (+ (1+ i) g)) (length str))
|
||
(setq str (concat (substring str 0 i)
|
||
calc-group-char
|
||
(substring str i))
|
||
i (+ i (1- (length calc-group-char))))))
|
||
(setq i pt)
|
||
(while (> i g)
|
||
(setq i (- i g)
|
||
str (concat (substring str 0 i)
|
||
calc-group-char
|
||
(substring str i))))
|
||
str))
|
||
|
||
;;; Users can redefine this in their init files.
|
||
(defvar calc-keypad-user-menu nil
|
||
"If non-nil, this describes an additional menu for `calc-keypad'.
|
||
It should contain a list of three rows.
|
||
Each row should be a list of six keys.
|
||
Each key should be a list of a label string, plus a Calc command name spec.
|
||
A command spec is a command name symbol, a keyboard macro string, a
|
||
list containing a numeric entry string, or nil.
|
||
A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.")
|
||
|
||
(make-obsolete-variable 'calc-ext-load-hook
|
||
"use `with-eval-after-load' instead." "28.1")
|
||
(run-hooks 'calc-ext-load-hook)
|
||
|
||
(provide 'calc-ext)
|
||
|
||
;;; calc-ext.el ends here
|