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;;; calc-ext.el --- various extension functions for Calc

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;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
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;;   2005, 2006, 2007 Free Software Foundation, Inc.
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;; Author: David Gillespie <daveg@synaptics.com>
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;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
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;; This file is part of GNU Emacs.

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;; GNU Emacs is free software; you can redistribute it and/or modify
;; it under the terms of the GNU General Public License as published by
;; the Free Software Foundation; either version 2, or (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
;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
;; GNU General Public License for more details.

;; You should have received a copy of the GNU General Public License
;; along with GNU Emacs; see the file COPYING.  If not, write to the
;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
;; Boston, MA 02110-1301, USA.
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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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(defvar math-simplifying nil)
(defvar math-living-dangerously nil)   ; true if unsafe simplifications are okay.
(defvar math-integrating nil)

(defvar math-rewrite-selections nil)

(defvar math-compose-level 0)
(defvar math-comp-selected nil)
(defvar math-comp-tagged nil)
(defvar math-comp-sel-hpos nil)
(defvar math-comp-sel-vpos nil)
(defvar math-comp-sel-cpos nil)
(defvar math-compose-hash-args nil)

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(defvar calc-alg-map)
(defvar calc-alg-esc-map)

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;;; The following was made a function so that it could be byte-compiled.
(defun calc-init-extensions ()

  (define-key calc-mode-map ":" 'calc-fdiv)
  (define-key calc-mode-map "\\" 'calc-idiv)
  (define-key calc-mode-map "|" 'calc-concat)
  (define-key calc-mode-map "!" 'calc-factorial)
  (define-key calc-mode-map "C" 'calc-cos)
  (define-key calc-mode-map "E" 'calc-exp)
  (define-key calc-mode-map "H" 'calc-hyperbolic)
  (define-key calc-mode-map "I" 'calc-inverse)
  (define-key calc-mode-map "J" 'calc-conj)
  (define-key calc-mode-map "L" 'calc-ln)
  (define-key calc-mode-map "N" 'calc-eval-num)
  (define-key calc-mode-map "P" 'calc-pi)
  (define-key calc-mode-map "Q" 'calc-sqrt)
  (define-key calc-mode-map "R" 'calc-round)
  (define-key calc-mode-map "S" 'calc-sin)
  (define-key calc-mode-map "T" 'calc-tan)
  (define-key calc-mode-map "U" 'calc-undo)
  (define-key calc-mode-map "X" 'calc-call-last-kbd-macro)
  (define-key calc-mode-map "o" 'calc-realign)
  (define-key calc-mode-map "p" 'calc-precision)
  (define-key calc-mode-map "w" 'calc-why)
  (define-key calc-mode-map "x" 'calc-execute-extended-command)
  (define-key calc-mode-map "y" 'calc-copy-to-buffer)

  (define-key calc-mode-map "(" 'calc-begin-complex)
  (define-key calc-mode-map ")" 'calc-end-complex)
  (define-key calc-mode-map "[" 'calc-begin-vector)
  (define-key calc-mode-map "]" 'calc-end-vector)
  (define-key calc-mode-map "," 'calc-comma)
  (define-key calc-mode-map ";" 'calc-semi)
  (define-key calc-mode-map "`" 'calc-edit)
  (define-key calc-mode-map "=" 'calc-evaluate)
  (define-key calc-mode-map "~" 'calc-num-prefix)
  (define-key calc-mode-map "<" 'calc-scroll-left)
  (define-key calc-mode-map ">" 'calc-scroll-right)
  (define-key calc-mode-map "{" 'calc-scroll-down)
  (define-key calc-mode-map "}" 'calc-scroll-up)
  (define-key calc-mode-map "\C-k" 'calc-kill)
  (define-key calc-mode-map "\M-k" 'calc-copy-as-kill)
  (define-key calc-mode-map "\C-w" 'calc-kill-region)
  (define-key calc-mode-map "\M-w" 'calc-copy-region-as-kill)
  (define-key calc-mode-map "\C-y" 'calc-yank)
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  (define-key calc-mode-map [mouse-2] 'calc-yank)
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  (define-key calc-mode-map "\C-_" 'calc-undo)
  (define-key calc-mode-map "\C-xu" 'calc-undo)
  (define-key calc-mode-map "\M-\C-m" 'calc-last-args)

  (define-key calc-mode-map "a" nil)
  (define-key calc-mode-map "a?" 'calc-a-prefix-help)
  (define-key calc-mode-map "aa" 'calc-apart)
  (define-key calc-mode-map "ab" 'calc-substitute)
  (define-key calc-mode-map "ac" 'calc-collect)
  (define-key calc-mode-map "ad" 'calc-derivative)
  (define-key calc-mode-map "ae" 'calc-simplify-extended)
  (define-key calc-mode-map "af" 'calc-factor)
  (define-key calc-mode-map "ag" 'calc-poly-gcd)
  (define-key calc-mode-map "ai" 'calc-integral)
  (define-key calc-mode-map "am" 'calc-match)
  (define-key calc-mode-map "an" 'calc-normalize-rat)
  (define-key calc-mode-map "ap" 'calc-poly-interp)
  (define-key calc-mode-map "ar" 'calc-rewrite)
  (define-key calc-mode-map "as" 'calc-simplify)
  (define-key calc-mode-map "at" 'calc-taylor)
  (define-key calc-mode-map "av" 'calc-alg-evaluate)
  (define-key calc-mode-map "ax" 'calc-expand)
  (define-key calc-mode-map "aA" 'calc-abs)
  (define-key calc-mode-map "aF" 'calc-curve-fit)
  (define-key calc-mode-map "aI" 'calc-num-integral)
  (define-key calc-mode-map "aM" 'calc-map-equation)
  (define-key calc-mode-map "aN" 'calc-find-minimum)
  (define-key calc-mode-map "aP" 'calc-poly-roots)
  (define-key calc-mode-map "aS" 'calc-solve-for)
  (define-key calc-mode-map "aR" 'calc-find-root)
  (define-key calc-mode-map "aT" 'calc-tabulate)
  (define-key calc-mode-map "aX" 'calc-find-maximum)
  (define-key calc-mode-map "a+" 'calc-summation)
  (define-key calc-mode-map "a-" 'calc-alt-summation)
  (define-key calc-mode-map "a*" 'calc-product)
  (define-key calc-mode-map "a\\" 'calc-poly-div)
  (define-key calc-mode-map "a%" 'calc-poly-rem)
  (define-key calc-mode-map "a/" 'calc-poly-div-rem)
  (define-key calc-mode-map "a=" 'calc-equal-to)
  (define-key calc-mode-map "a#" 'calc-not-equal-to)
  (define-key calc-mode-map "a<" 'calc-less-than)
  (define-key calc-mode-map "a>" 'calc-greater-than)
  (define-key calc-mode-map "a[" 'calc-less-equal)
  (define-key calc-mode-map "a]" 'calc-greater-equal)
  (define-key calc-mode-map "a." 'calc-remove-equal)
  (define-key calc-mode-map "a{" 'calc-in-set)
  (define-key calc-mode-map "a&" 'calc-logical-and)
  (define-key calc-mode-map "a|" 'calc-logical-or)
  (define-key calc-mode-map "a!" 'calc-logical-not)
  (define-key calc-mode-map "a:" 'calc-logical-if)
  (define-key calc-mode-map "a_" 'calc-subscript)
  (define-key calc-mode-map "a\"" 'calc-expand-formula)

  (define-key calc-mode-map "b" nil)
  (define-key calc-mode-map "b?" 'calc-b-prefix-help)
  (define-key calc-mode-map "ba" 'calc-and)
  (define-key calc-mode-map "bc" 'calc-clip)
  (define-key calc-mode-map "bd" 'calc-diff)
  (define-key calc-mode-map "bl" 'calc-lshift-binary)
  (define-key calc-mode-map "bn" 'calc-not)
  (define-key calc-mode-map "bo" 'calc-or)
  (define-key calc-mode-map "bp" 'calc-pack-bits)
  (define-key calc-mode-map "br" 'calc-rshift-binary)
  (define-key calc-mode-map "bt" 'calc-rotate-binary)
  (define-key calc-mode-map "bu" 'calc-unpack-bits)
  (define-key calc-mode-map "bw" 'calc-word-size)
  (define-key calc-mode-map "bx" 'calc-xor)
  (define-key calc-mode-map "bB" 'calc-log)
  (define-key calc-mode-map "bD" 'calc-fin-ddb)
  (define-key calc-mode-map "bF" 'calc-fin-fv)
  (define-key calc-mode-map "bI" 'calc-fin-irr)
  (define-key calc-mode-map "bL" 'calc-lshift-arith)
  (define-key calc-mode-map "bM" 'calc-fin-pmt)
  (define-key calc-mode-map "bN" 'calc-fin-npv)
  (define-key calc-mode-map "bP" 'calc-fin-pv)
  (define-key calc-mode-map "bR" 'calc-rshift-arith)
  (define-key calc-mode-map "bS" 'calc-fin-sln)
  (define-key calc-mode-map "bT" 'calc-fin-rate)
  (define-key calc-mode-map "bY" 'calc-fin-syd)
  (define-key calc-mode-map "b#" 'calc-fin-nper)
  (define-key calc-mode-map "b%" 'calc-percent-change)

  (define-key calc-mode-map "c" nil)
  (define-key calc-mode-map "c?" 'calc-c-prefix-help)
  (define-key calc-mode-map "cc" 'calc-clean)
  (define-key calc-mode-map "cd" 'calc-to-degrees)
  (define-key calc-mode-map "cf" 'calc-float)
  (define-key calc-mode-map "ch" 'calc-to-hms)
  (define-key calc-mode-map "cp" 'calc-polar)
  (define-key calc-mode-map "cr" 'calc-to-radians)
  (define-key calc-mode-map "cC" 'calc-cos)
  (define-key calc-mode-map "cF" 'calc-fraction)
  (define-key calc-mode-map "c%" 'calc-convert-percent)

  (define-key calc-mode-map "d" nil)
  (define-key calc-mode-map "d?" 'calc-d-prefix-help)
  (define-key calc-mode-map "d0" 'calc-decimal-radix)
  (define-key calc-mode-map "d2" 'calc-binary-radix)
  (define-key calc-mode-map "d6" 'calc-hex-radix)
  (define-key calc-mode-map "d8" 'calc-octal-radix)
  (define-key calc-mode-map "db" 'calc-line-breaking)
  (define-key calc-mode-map "dc" 'calc-complex-notation)
  (define-key calc-mode-map "dd" 'calc-date-notation)
  (define-key calc-mode-map "de" 'calc-eng-notation)
  (define-key calc-mode-map "df" 'calc-fix-notation)
  (define-key calc-mode-map "dg" 'calc-group-digits)
  (define-key calc-mode-map "dh" 'calc-hms-notation)
  (define-key calc-mode-map "di" 'calc-i-notation)
  (define-key calc-mode-map "dj" 'calc-j-notation)
  (define-key calc-mode-map "dl" 'calc-line-numbering)
  (define-key calc-mode-map "dn" 'calc-normal-notation)
  (define-key calc-mode-map "do" 'calc-over-notation)
  (define-key calc-mode-map "dp" 'calc-show-plain)
  (define-key calc-mode-map "dr" 'calc-radix)
  (define-key calc-mode-map "ds" 'calc-sci-notation)
  (define-key calc-mode-map "dt" 'calc-truncate-stack)
  (define-key calc-mode-map "dw" 'calc-auto-why)
  (define-key calc-mode-map "dz" 'calc-leading-zeros)
  (define-key calc-mode-map "dB" 'calc-big-language)
  (define-key calc-mode-map "dD" 'calc-redo)
  (define-key calc-mode-map "dC" 'calc-c-language)
  (define-key calc-mode-map "dE" 'calc-eqn-language)
  (define-key calc-mode-map "dF" 'calc-fortran-language)
  (define-key calc-mode-map "dM" 'calc-mathematica-language)
  (define-key calc-mode-map "dN" 'calc-normal-language)
  (define-key calc-mode-map "dO" 'calc-flat-language)
  (define-key calc-mode-map "dP" 'calc-pascal-language)
  (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)
  (define-key calc-mode-map "dW" 'calc-maple-language)
  (define-key calc-mode-map "d[" 'calc-truncate-up)
  (define-key calc-mode-map "d]" 'calc-truncate-down)
  (define-key calc-mode-map "d." 'calc-point-char)
  (define-key calc-mode-map "d," 'calc-group-char)
  (define-key calc-mode-map "d\"" 'calc-display-strings)
  (define-key calc-mode-map "d<" 'calc-left-justify)
  (define-key calc-mode-map "d=" 'calc-center-justify)
  (define-key calc-mode-map "d>" 'calc-right-justify)
  (define-key calc-mode-map "d{" 'calc-left-label)
  (define-key calc-mode-map "d}" 'calc-right-label)
  (define-key calc-mode-map "d'" 'calc-display-raw)
  (define-key calc-mode-map "d " 'calc-refresh)
  (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)
  (define-key calc-mode-map "f?" 'calc-f-prefix-help)
  (define-key calc-mode-map "fb" 'calc-beta)
  (define-key calc-mode-map "fe" 'calc-erf)
  (define-key calc-mode-map "fg" 'calc-gamma)
  (define-key calc-mode-map "fh" 'calc-hypot)
  (define-key calc-mode-map "fi" 'calc-im)
  (define-key calc-mode-map "fj" 'calc-bessel-J)
  (define-key calc-mode-map "fn" 'calc-min)
  (define-key calc-mode-map "fr" 'calc-re)
  (define-key calc-mode-map "fs" 'calc-sign)
  (define-key calc-mode-map "fx" 'calc-max)
  (define-key calc-mode-map "fy" 'calc-bessel-Y)
  (define-key calc-mode-map "fA" 'calc-abssqr)
  (define-key calc-mode-map "fB" 'calc-inc-beta)
  (define-key calc-mode-map "fE" 'calc-expm1)
  (define-key calc-mode-map "fF" 'calc-floor)
  (define-key calc-mode-map "fG" 'calc-inc-gamma)
  (define-key calc-mode-map "fI" 'calc-ilog)
  (define-key calc-mode-map "fL" 'calc-lnp1)
  (define-key calc-mode-map "fM" 'calc-mant-part)
  (define-key calc-mode-map "fQ" 'calc-isqrt)
  (define-key calc-mode-map "fS" 'calc-scale-float)
  (define-key calc-mode-map "fT" 'calc-arctan2)
  (define-key calc-mode-map "fX" 'calc-xpon-part)
  (define-key calc-mode-map "f[" 'calc-decrement)
  (define-key calc-mode-map "f]" 'calc-increment)

  (define-key calc-mode-map "g" nil)
  (define-key calc-mode-map "g?" 'calc-g-prefix-help)
  (define-key calc-mode-map "ga" 'calc-graph-add)
  (define-key calc-mode-map "gb" 'calc-graph-border)
  (define-key calc-mode-map "gc" 'calc-graph-clear)
  (define-key calc-mode-map "gd" 'calc-graph-delete)
  (define-key calc-mode-map "gf" 'calc-graph-fast)
  (define-key calc-mode-map "gg" 'calc-graph-grid)
  (define-key calc-mode-map "gh" 'calc-graph-header)
  (define-key calc-mode-map "gk" 'calc-graph-key)
  (define-key calc-mode-map "gj" 'calc-graph-juggle)
  (define-key calc-mode-map "gl" 'calc-graph-log-x)
  (define-key calc-mode-map "gn" 'calc-graph-name)
  (define-key calc-mode-map "gp" 'calc-graph-plot)
  (define-key calc-mode-map "gq" 'calc-graph-quit)
  (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 "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)
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  (define-key calc-mode-map "me" 'calc-embedded-preserve-modes)
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  (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 "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 "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)
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  (define-key calc-mode-map "sk" 'calc-copy-special-constant)
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  (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 "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 "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 "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)
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  ;; 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
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  (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-report)
  (define-key calc-mode-map "Z#" 'calc-kbd-query)

  (calc-init-prefixes)

  (mapcar (function
	   (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))
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    (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))))))
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      (setq i (1+ i))))
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  (setq calc-alg-map (copy-keymap calc-mode-map)
	calc-alg-esc-map (copy-keymap esc-map))
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  (let ((i 32))
    (while (< i 127)
      (or (memq i '(?' ?` ?= ??))
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	  (aset (nth 1 calc-alg-map) i 'calc-auto-algebraic-entry))
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      (or (memq i '(?# ?x ?0 ?1 ?2 ?3 ?4 ?5 ?6 ?7 ?8 ?9))
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	  (aset (nth 1 calc-alg-esc-map) i (aref (nth 1 calc-mode-map) i)))
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      (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)
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;;;; (Autoloads here)
  (mapcar (function (lambda (x)
    (mapcar (function (lambda (func)
      (autoload func (car x)))) (cdr x))))
    '(

659
 ("calc-alg" calc-has-rules math-defsimplify
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calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
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calcFunc-simplify calcFunc-subst calcFunc-powerexpand math-beforep
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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
667
math-poly-depends math-poly-mix math-poly-mul
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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)

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 ("calcalg2" calcFunc-asum calcFunc-deriv
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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)

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 ("calcalg3" calcFunc-efit calcFunc-fit
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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)

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 ("calc-arith" calcFunc-abs calcFunc-abssqr
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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
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calcFunc-idiv calcFunc-incr calcFunc-ldiv calcFunc-mant calcFunc-max calcFunc-min
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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)

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))

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calc-working)

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calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
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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-version 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-undo)

 ("calc-units" calc-autorange-units calc-base-units
calc-convert-temperature calc-convert-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-vec" calc-arrange-vector calc-build-vector calc-cnorm
calc-conj-transpose calc-cons calc-cross 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
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calc-kill calc-kill-region calc-yank))))
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(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)
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    (define-key calc-mode-map "U" 'calc-undo)))
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(calc-init-extensions)




;;;; Miscellaneous.

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;; calc-command-flags is declared in calc.el
(defvar calc-command-flags)

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(defun calc-clear-command-flag (f)
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  (setq calc-command-flags (delq f calc-command-flags)))
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(defun calc-record-message (tag &rest args)
  (let ((msg (apply 'format args)))
    (message "%s" msg)
    (calc-record msg tag))
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  (calc-clear-command-flag 'clear-message))
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(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
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	   (math-normalize val)))))
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(defvar calc-help-map nil)
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(if calc-help-map
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    nil
  (setq calc-help-map (make-keymap))
  (define-key calc-help-map "b" 'calc-describe-bindings)
  (define-key calc-help-map "c" 'calc-describe-key-briefly)
  (define-key calc-help-map "f" 'calc-describe-function)
  (define-key calc-help-map "h" 'calc-full-help)
  (define-key calc-help-map "i" 'calc-info)
  (define-key calc-help-map "k" 'calc-describe-key)
  (define-key calc-help-map "n" 'calc-view-news)
  (define-key calc-help-map "s" 'calc-info-summary)
  (define-key calc-help-map "t" 'calc-tutorial)
  (define-key calc-help-map "v" 'calc-describe-variable)
  (define-key calc-help-map "\C-c" 'calc-describe-copying)
  (define-key calc-help-map "\C-d" 'calc-describe-distribution)
  (define-key calc-help-map "\C-n" 'calc-view-news)
  (define-key calc-help-map "\C-w" 'calc-describe-no-warranty)
  (define-key calc-help-map "?" 'calc-help-for-help)
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  (define-key calc-help-map "\C-h" 'calc-help-for-help))
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(defvar calc-prefix-help-phase 0)
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(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 (eq this-command last-command)
		    (% (1+ calc-prefix-help-phase) (1+ (length msgs)))
		  0))
	  (let ((msg (nth calc-prefix-help-phase msgs)))
	    (message "%s" (if msg
			      (concat group ": " msg ":"
				      (make-string
				       (- (apply 'max (mapcar 'length msgs))
					  (length msg)) 32)
				      "  [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)
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	    (message "%s: (none)  %c-" group key))
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	(message "%s: %s" group (car msgs))))
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    (and key (calc-unread-command key))))
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;;;; Commands.


;;; General.

(defun calc-reset (arg)
  (interactive "P")
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  (setq arg (if arg (prefix-numeric-value arg) nil))
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  (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)
        (mapcar (function (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
            (< (window-height win) (1- (frame-height))))
           (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)"))))
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;; What a pain; scroll-left behaves differently when called non-interactively.
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(defun calc-scroll-left (n)
  (interactive "P")
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  (setq prefix-arg (or n (/ (window-width) 2)))
  (call-interactively #'scroll-left))
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(defun calc-scroll-right (n)
  (interactive "P")
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  (setq prefix-arg (or n (/ (window-width) 2)))
  (call-interactively #'scroll-right))
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(defun calc-scroll-up (n)
  (interactive "P")
  (condition-case err
      (scroll-up (or n (/ (window-height) 2)))
    (error nil))
  (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)))
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	(forward-line -1))))
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(defun calc-scroll-down (n)
  (interactive "P")
  (or (pos-visible-in-window-p 1)
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      (scroll-down (or n (/ (window-height) 2)))))
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(defun calc-precision (n)
  (interactive "NPrecision: ")
  (calc-wrapper
   (if (< (prefix-numeric-value n) 3)
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       (error "Precision must be at least 3 digits")
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     (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"))
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   (message "Floating-point precision is %d digits" calc-internal-prec)))
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(defun calc-inverse (&optional n)
  (interactive "P")
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  (let* ((hyp-flag (if (or
                        (eq major-mode 'calc-keypad-mode)
                        (eq major-mode 'calc-trail-mode))
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                       (with-current-buffer calc-main-buffer
                         calc-hyperbolic-flag)
                     calc-hyperbolic-flag))
         (msg (if hyp-flag 
                 "Inverse Hyperbolic..."
               "Inverse...")))
    (calc-fancy-prefix 'calc-inverse-flag msg n)))
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(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.")

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(defvar calc-is-keypad-press nil)
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(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 (if prefix msg "")))
    (and prefix
	 (not calc-is-keypad-press)
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	 (if (boundp 'overriding-terminal-local-map)
	     (setq overriding-terminal-local-map calc-fancy-prefix-map)
	   (let ((event (calc-read-key t)))
	     (if (eq (setq last-command-char (car event)) ?\C-u)
		 (universal-argument)
	       (if (or (not (integerp last-command-char))
		       (and (>= last-command-char 0) (< last-command-char ? )
			    (not (memq last-command-char '(?\e)))))
		   (calc-wrapper))  ; clear flags if not a Calc command.
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               (setq last-command-event (cdr event))
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	       (if (or (not (integerp last-command-char))
		       (eq last-command-char ?-))
		   (calc-unread-command)
		 (digit-argument n))))))))
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(defun calc-fancy-prefix-other-key (arg)
  (interactive "P")
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  (if (and
       (not (eq last-command-char 'tab))
       (not (eq last-command-char 'M-tab))
       (or (not (integerp last-command-char))
           (and (>= last-command-char 0) (< last-command-char ? )
                (not (eq last-command-char meta-prefix-char)))))
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     (calc-wrapper))  ; clear flags if not a Calc command.
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  (setq prefix-arg arg)
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  (calc-unread-command)
  (setq overriding-terminal-local-map nil))

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(defun calc-invert-func ()
  (save-excursion
    (calc-select-buffer)
    (setq calc-inverse-flag (not (calc-is-inverse))
	  calc-hyperbolic-flag (calc-is-hyperbolic)
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	  current-prefix-arg nil)))
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(defun calc-is-inverse ()
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  calc-inverse-flag)
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(defun calc-hyperbolic (&optional n)
  (interactive "P")
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  (let* ((inv-flag (if (or
                        (eq major-mode 'calc-keypad-mode)
                        (eq major-mode 'calc-trail-mode))
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                       (with-current-buffer calc-main-buffer
                         calc-inverse-flag)
                     calc-inverse-flag))
         (msg (if inv-flag 
                  "Inverse Hyperbolic..."
                "Hyperbolic...")))
    (calc-fancy-prefix 'calc-hyperbolic-flag msg n)))
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(defun calc-hyperbolic-func ()
  (save-excursion
    (calc-select-buffer)
    (setq calc-inverse-flag (calc-is-inverse)
	  calc-hyperbolic-flag (not (calc-is-hyperbolic))
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	  current-prefix-arg nil)))
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(defun calc-is-hyperbolic ()
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  calc-hyperbolic-flag)
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(defun calc-keep-args (&optional n)
  (interactive "P")
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  (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
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(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)))
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		 (calc-save-modes))))
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      (if calc-embedded-info (calc-embedded-modes-change var))
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      (symbol-value (car var)))))
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(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))

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(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 (function (lambda (x) (nth 2 x)))
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				    entries)))))))
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(defvar calc-refreshing-evaltos nil)
(defvar calc-no-refresh-evaltos nil)
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(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
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       (calc-embedded-var-change which-var)))
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(defun calc-push (&rest vals)
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  (calc-push-list vals))
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(defun calc-pop-push (n &rest vals)
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  (calc-pop-push-list n vals))
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(defun calc-pop-push-record (n prefix &rest vals)
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  (calc-pop-push-record-list n prefix vals))
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(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)))))
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   (calc-handle-whys)))
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(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)))))
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   (calc-handle-whys)))
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(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-"))))
    (setq prefix-arg n)
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    (command-execute cmd)))
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(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 (save-excursion (set-buffer (aref calc-embedded-info 1))
			      calc-show-plain)
	      (forward-line 1)))
      (calc-wrapper
       (if (get-buffer-window (current-buffer))
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	   (set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
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(defvar math-cache-list nil)
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(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)))
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	   (symbol-value v)))))
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;;; 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 '( ( + ( + - ) ( + ) )
			    ( - ( + - ) ( + ) )
			    ( * ( * )   ( * ) )
			    ( / ( / )   (   ) )
			    ( | ( | )   ( | ) )
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			    ( calcFunc-land ( calcFunc-land )
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					    ( calcFunc-land ) )
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			    ( calcFunc-lor ( calcFunc-lor )
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