lisp/calc/calc-ext.el

   1 ;;; calc-ext.el --- various extension functions for Calc
   2
   3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
   4 ;;   2005, 2006, 2007, 2008 Free Software Foundation, Inc.
   5
   6 ;; Author: David Gillespie <daveg@synaptics.com>
   7 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
   8
   9 ;; This file is part of GNU Emacs.
  10
  11 ;; GNU Emacs is free software; you can redistribute it and/or modify
  12 ;; it under the terms of the GNU General Public License as published by
  13 ;; the Free Software Foundation; either version 3, or (at your option)
  14 ;; any later version.
  15
  16 ;; GNU Emacs is distributed in the hope that it will be useful,
  17 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
  18 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  19 ;; GNU General Public License for more details.
  20
  21 ;; You should have received a copy of the GNU General Public License
  22 ;; along with GNU Emacs; see the file COPYING.  If not, write to the
  23 ;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
  24 ;; Boston, MA 02110-1301, USA.
  25
  26 ;;; Commentary:
  27
  28 ;;; Code:
  29
  30 (require 'calc)
  31 (require 'calc-macs)
  32
  33 ;; Declare functions which are defined elsewhere.
  34 (declare-function math-clip "calc-bin" (a &optional w))
  35 (declare-function math-round "calc-arith" (a &optional prec))
  36 (declare-function math-simplify "calc-alg" (top-expr))
  37 (declare-function math-simplify-extended "calc-alg" (a))
  38 (declare-function math-simplify-units "calc-units" (a))
  39 (declare-function calc-set-language "calc-lang" (lang &optional option no-refresh))
  40 (declare-function calc-flush-caches "calc-stuff" (&optional inhibit-msg))
  41 (declare-function calc-save-modes "calc-mode" ())
  42 (declare-function calc-embedded-modes-change "calc-embed" (vars))
  43 (declare-function calc-embedded-var-change "calc-embed" (var &optional buf))
  44 (declare-function math-mul-float "calc-arith" (a b))
  45 (declare-function math-arctan-raw "calc-math" (x))
  46 (declare-function math-sqrt-raw "calc-math" (a &optional guess))
  47 (declare-function math-sqrt-float "calc-math" (a &optional guess))
  48 (declare-function math-exp-minus-1-raw "calc-math" (x))
  49 (declare-function math-normalize-polar "calc-cplx" (a))
  50 (declare-function math-normalize-hms "calc-forms" (a))
  51 (declare-function math-normalize-mod "calc-forms" (a))
  52 (declare-function math-make-sdev "calc-forms" (x sigma))
  53 (declare-function math-make-intv "calc-forms" (mask lo hi))
  54 (declare-function math-normalize-logical-op "calc-prog" (a))
  55 (declare-function math-possible-signs "calc-arith" (a &optional origin))
  56 (declare-function math-infinite-dir "calc-math" (a &optional inf))
  57 (declare-function math-calcFunc-to-var "calc-map" (f))
  58 (declare-function calc-embedded-evaluate-expr "calc-embed" (x))
  59 (declare-function math-known-nonzerop "calc-arith" (a))
  60 (declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term))
  61 (declare-function math-read-big-rec "calc-lang" (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2 &optional baseline prec short))
  62 (declare-function math-read-big-balance "calc-lang" (h v what &optional commas))
  63 (declare-function math-format-date "calc-forms" (math-fd-date))
  64 (declare-function math-vector-is-string "calccomp" (a))
  65 (declare-function math-vector-to-string "calccomp" (a &optional quoted))
  66 (declare-function math-format-radix-float "calc-bin" (a prec))
  67 (declare-function math-compose-expr "calccomp" (a prec))
  68 (declare-function math-abs "calc-arith" (a))
  69 (declare-function math-format-bignum-binary "calc-bin" (a))
  70 (declare-function math-format-bignum-octal "calc-bin" (a))
  71 (declare-function math-format-bignum-hex "calc-bin" (a))
  72 (declare-function math-format-bignum-radix "calc-bin" (a))
  73 (declare-function math-compute-max-digits "calc-bin" (w r))
  74 (declare-function math-map-vec "calc-vec" (f a))
  75 (declare-function math-make-frac "calc-frac" (num den))
  76
  77
  78 (defvar math-simplifying nil)
  79 (defvar math-living-dangerously nil)   ; true if unsafe simplifications are okay.
  80 (defvar math-integrating nil)
  81
  82 (defvar math-rewrite-selections nil)
  83
  84 (defvar math-compose-level 0)
  85 (defvar math-comp-selected nil)
  86 (defvar math-comp-tagged nil)
  87 (defvar math-comp-sel-hpos nil)
  88 (defvar math-comp-sel-vpos nil)
  89 (defvar math-comp-sel-cpos nil)
  90 (defvar math-compose-hash-args nil)
  91
  92 (defvar calc-alg-map)
  93 (defvar calc-alg-esc-map)
  94
  95 ;;; The following was made a function so that it could be byte-compiled.
  96 (defun calc-init-extensions ()
  97
  98   (define-key calc-mode-map ":" 'calc-fdiv)
  99   (define-key calc-mode-map "\\" 'calc-idiv)
 100   (define-key calc-mode-map "|" 'calc-concat)
 101   (define-key calc-mode-map "!" 'calc-factorial)
 102   (define-key calc-mode-map "C" 'calc-cos)
 103   (define-key calc-mode-map "E" 'calc-exp)
 104   (define-key calc-mode-map "H" 'calc-hyperbolic)
 105   (define-key calc-mode-map "I" 'calc-inverse)
 106   (define-key calc-mode-map "J" 'calc-conj)
 107   (define-key calc-mode-map "L" 'calc-ln)
 108   (define-key calc-mode-map "N" 'calc-eval-num)
 109   (define-key calc-mode-map "P" 'calc-pi)
 110   (define-key calc-mode-map "Q" 'calc-sqrt)
 111   (define-key calc-mode-map "R" 'calc-round)
 112   (define-key calc-mode-map "S" 'calc-sin)
 113   (define-key calc-mode-map "T" 'calc-tan)
 114   (define-key calc-mode-map "U" 'calc-undo)
 115   (define-key calc-mode-map "X" 'calc-call-last-kbd-macro)
 116   (define-key calc-mode-map "o" 'calc-realign)
 117   (define-key calc-mode-map "p" 'calc-precision)
 118   (define-key calc-mode-map "w" 'calc-why)
 119   (define-key calc-mode-map "x" 'calc-execute-extended-command)
 120   (define-key calc-mode-map "y" 'calc-copy-to-buffer)
 121
 122   (define-key calc-mode-map "(" 'calc-begin-complex)
 123   (define-key calc-mode-map ")" 'calc-end-complex)
 124   (define-key calc-mode-map "[" 'calc-begin-vector)
 125   (define-key calc-mode-map "]" 'calc-end-vector)
 126   (define-key calc-mode-map "," 'calc-comma)
 127   (define-key calc-mode-map ";" 'calc-semi)
 128   (define-key calc-mode-map "`" 'calc-edit)
 129   (define-key calc-mode-map "=" 'calc-evaluate)
 130   (define-key calc-mode-map "~" 'calc-num-prefix)
 131   (define-key calc-mode-map "<" 'calc-scroll-left)
 132   (define-key calc-mode-map ">" 'calc-scroll-right)
 133   (define-key calc-mode-map "{" 'calc-scroll-down)
 134   (define-key calc-mode-map "}" 'calc-scroll-up)
 135   (define-key calc-mode-map "\C-k" 'calc-kill)
 136   (define-key calc-mode-map "\M-k" 'calc-copy-as-kill)
 137   (define-key calc-mode-map "\C-w" 'calc-kill-region)
 138   (define-key calc-mode-map "\M-w" 'calc-copy-region-as-kill)
 139   (define-key calc-mode-map "\C-y" 'calc-yank)
 140   (define-key calc-mode-map [mouse-2] 'calc-yank)
 141   (define-key calc-mode-map "\C-_" 'calc-undo)
 142   (define-key calc-mode-map "\C-xu" 'calc-undo)
 143   (define-key calc-mode-map "\M-\C-m" 'calc-last-args)
 144
 145   (define-key calc-mode-map "a" nil)
 146   (define-key calc-mode-map "a?" 'calc-a-prefix-help)
 147   (define-key calc-mode-map "aa" 'calc-apart)
 148   (define-key calc-mode-map "ab" 'calc-substitute)
 149   (define-key calc-mode-map "ac" 'calc-collect)
 150   (define-key calc-mode-map "ad" 'calc-derivative)
 151   (define-key calc-mode-map "ae" 'calc-simplify-extended)
 152   (define-key calc-mode-map "af" 'calc-factor)
 153   (define-key calc-mode-map "ag" 'calc-poly-gcd)
 154   (define-key calc-mode-map "ai" 'calc-integral)
 155   (define-key calc-mode-map "am" 'calc-match)
 156   (define-key calc-mode-map "an" 'calc-normalize-rat)
 157   (define-key calc-mode-map "ap" 'calc-poly-interp)
 158   (define-key calc-mode-map "ar" 'calc-rewrite)
 159   (define-key calc-mode-map "as" 'calc-simplify)
 160   (define-key calc-mode-map "at" 'calc-taylor)
 161   (define-key calc-mode-map "av" 'calc-alg-evaluate)
 162   (define-key calc-mode-map "ax" 'calc-expand)
 163   (define-key calc-mode-map "aA" 'calc-abs)
 164   (define-key calc-mode-map "aF" 'calc-curve-fit)
 165   (define-key calc-mode-map "aI" 'calc-num-integral)
 166   (define-key calc-mode-map "aM" 'calc-map-equation)
 167   (define-key calc-mode-map "aN" 'calc-find-minimum)
 168   (define-key calc-mode-map "aP" 'calc-poly-roots)
 169   (define-key calc-mode-map "aS" 'calc-solve-for)
 170   (define-key calc-mode-map "aR" 'calc-find-root)
 171   (define-key calc-mode-map "aT" 'calc-tabulate)
 172   (define-key calc-mode-map "aX" 'calc-find-maximum)
 173   (define-key calc-mode-map "a+" 'calc-summation)
 174   (define-key calc-mode-map "a-" 'calc-alt-summation)
 175   (define-key calc-mode-map "a*" 'calc-product)
 176   (define-key calc-mode-map "a\\" 'calc-poly-div)
 177   (define-key calc-mode-map "a%" 'calc-poly-rem)
 178   (define-key calc-mode-map "a/" 'calc-poly-div-rem)
 179   (define-key calc-mode-map "a=" 'calc-equal-to)
 180   (define-key calc-mode-map "a#" 'calc-not-equal-to)
 181   (define-key calc-mode-map "a<" 'calc-less-than)
 182   (define-key calc-mode-map "a>" 'calc-greater-than)
 183   (define-key calc-mode-map "a[" 'calc-less-equal)
 184   (define-key calc-mode-map "a]" 'calc-greater-equal)
 185   (define-key calc-mode-map "a." 'calc-remove-equal)
 186   (define-key calc-mode-map "a{" 'calc-in-set)
 187   (define-key calc-mode-map "a&" 'calc-logical-and)
 188   (define-key calc-mode-map "a|" 'calc-logical-or)
 189   (define-key calc-mode-map "a!" 'calc-logical-not)
 190   (define-key calc-mode-map "a:" 'calc-logical-if)
 191   (define-key calc-mode-map "a_" 'calc-subscript)
 192   (define-key calc-mode-map "a\"" 'calc-expand-formula)
 193
 194   (define-key calc-mode-map "b" nil)
 195   (define-key calc-mode-map "b?" 'calc-b-prefix-help)
 196   (define-key calc-mode-map "ba" 'calc-and)
 197   (define-key calc-mode-map "bc" 'calc-clip)
 198   (define-key calc-mode-map "bd" 'calc-diff)
 199   (define-key calc-mode-map "bl" 'calc-lshift-binary)
 200   (define-key calc-mode-map "bn" 'calc-not)
 201   (define-key calc-mode-map "bo" 'calc-or)
 202   (define-key calc-mode-map "bp" 'calc-pack-bits)
 203   (define-key calc-mode-map "br" 'calc-rshift-binary)
 204   (define-key calc-mode-map "bt" 'calc-rotate-binary)
 205   (define-key calc-mode-map "bu" 'calc-unpack-bits)
 206   (define-key calc-mode-map "bw" 'calc-word-size)
 207   (define-key calc-mode-map "bx" 'calc-xor)
 208   (define-key calc-mode-map "bB" 'calc-log)
 209   (define-key calc-mode-map "bD" 'calc-fin-ddb)
 210   (define-key calc-mode-map "bF" 'calc-fin-fv)
 211   (define-key calc-mode-map "bI" 'calc-fin-irr)
 212   (define-key calc-mode-map "bL" 'calc-lshift-arith)
 213   (define-key calc-mode-map "bM" 'calc-fin-pmt)
 214   (define-key calc-mode-map "bN" 'calc-fin-npv)
 215   (define-key calc-mode-map "bP" 'calc-fin-pv)
 216   (define-key calc-mode-map "bR" 'calc-rshift-arith)
 217   (define-key calc-mode-map "bS" 'calc-fin-sln)
 218   (define-key calc-mode-map "bT" 'calc-fin-rate)
 219   (define-key calc-mode-map "bY" 'calc-fin-syd)
 220   (define-key calc-mode-map "b#" 'calc-fin-nper)
 221   (define-key calc-mode-map "b%" 'calc-percent-change)
 222
 223   (define-key calc-mode-map "c" nil)
 224   (define-key calc-mode-map "c?" 'calc-c-prefix-help)
 225   (define-key calc-mode-map "cc" 'calc-clean)
 226   (define-key calc-mode-map "cd" 'calc-to-degrees)
 227   (define-key calc-mode-map "cf" 'calc-float)
 228   (define-key calc-mode-map "ch" 'calc-to-hms)
 229   (define-key calc-mode-map "cp" 'calc-polar)
 230   (define-key calc-mode-map "cr" 'calc-to-radians)
 231   (define-key calc-mode-map "cC" 'calc-cos)
 232   (define-key calc-mode-map "cF" 'calc-fraction)
 233   (define-key calc-mode-map "c%" 'calc-convert-percent)
 234
 235   (define-key calc-mode-map "d" nil)
 236   (define-key calc-mode-map "d?" 'calc-d-prefix-help)
 237   (define-key calc-mode-map "d0" 'calc-decimal-radix)
 238   (define-key calc-mode-map "d2" 'calc-binary-radix)
 239   (define-key calc-mode-map "d6" 'calc-hex-radix)
 240   (define-key calc-mode-map "d8" 'calc-octal-radix)
 241   (define-key calc-mode-map "db" 'calc-line-breaking)
 242   (define-key calc-mode-map "dc" 'calc-complex-notation)
 243   (define-key calc-mode-map "dd" 'calc-date-notation)
 244   (define-key calc-mode-map "de" 'calc-eng-notation)
 245   (define-key calc-mode-map "df" 'calc-fix-notation)
 246   (define-key calc-mode-map "dg" 'calc-group-digits)
 247   (define-key calc-mode-map "dh" 'calc-hms-notation)
 248   (define-key calc-mode-map "di" 'calc-i-notation)
 249   (define-key calc-mode-map "dj" 'calc-j-notation)
 250   (define-key calc-mode-map "dl" 'calc-line-numbering)
 251   (define-key calc-mode-map "dn" 'calc-normal-notation)
 252   (define-key calc-mode-map "do" 'calc-over-notation)
 253   (define-key calc-mode-map "dp" 'calc-show-plain)
 254   (define-key calc-mode-map "dr" 'calc-radix)
 255   (define-key calc-mode-map "ds" 'calc-sci-notation)
 256   (define-key calc-mode-map "dt" 'calc-truncate-stack)
 257   (define-key calc-mode-map "dw" 'calc-auto-why)
 258   (define-key calc-mode-map "dz" 'calc-leading-zeros)
 259   (define-key calc-mode-map "dA" 'calc-giac-language)
 260   (define-key calc-mode-map "dB" 'calc-big-language)
 261   (define-key calc-mode-map "dD" 'calc-redo)
 262   (define-key calc-mode-map "dC" 'calc-c-language)
 263   (define-key calc-mode-map "dE" 'calc-eqn-language)
 264   (define-key calc-mode-map "dF" 'calc-fortran-language)
 265   (define-key calc-mode-map "dM" 'calc-mathematica-language)
 266   (define-key calc-mode-map "dN" 'calc-normal-language)
 267   (define-key calc-mode-map "dO" 'calc-flat-language)
 268   (define-key calc-mode-map "dP" 'calc-pascal-language)
 269   (define-key calc-mode-map "dT" 'calc-tex-language)
 270   (define-key calc-mode-map "dL" 'calc-latex-language)
 271   (define-key calc-mode-map "dU" 'calc-unformatted-language)
 272   (define-key calc-mode-map "dW" 'calc-maple-language)
 273   (define-key calc-mode-map "dX" 'calc-maxima-language)
 274   (define-key calc-mode-map "dY" 'calc-yacas-language)
 275   (define-key calc-mode-map "d[" 'calc-truncate-up)
 276   (define-key calc-mode-map "d]" 'calc-truncate-down)
 277   (define-key calc-mode-map "d." 'calc-point-char)
 278   (define-key calc-mode-map "d," 'calc-group-char)
 279   (define-key calc-mode-map "d\"" 'calc-display-strings)
 280   (define-key calc-mode-map "d<" 'calc-left-justify)
 281   (define-key calc-mode-map "d=" 'calc-center-justify)
 282   (define-key calc-mode-map "d>" 'calc-right-justify)
 283   (define-key calc-mode-map "d{" 'calc-left-label)
 284   (define-key calc-mode-map "d}" 'calc-right-label)
 285   (define-key calc-mode-map "d'" 'calc-display-raw)
 286   (define-key calc-mode-map "d " 'calc-refresh)
 287   (define-key calc-mode-map "d\r" 'calc-refresh-top)
 288   (define-key calc-mode-map "d@" 'calc-toggle-banner)
 289
 290   (define-key calc-mode-map "f" nil)
 291   (define-key calc-mode-map "f?" 'calc-f-prefix-help)
 292   (define-key calc-mode-map "fb" 'calc-beta)
 293   (define-key calc-mode-map "fe" 'calc-erf)
 294   (define-key calc-mode-map "fg" 'calc-gamma)
 295   (define-key calc-mode-map "fh" 'calc-hypot)
 296   (define-key calc-mode-map "fi" 'calc-im)
 297   (define-key calc-mode-map "fj" 'calc-bessel-J)
 298   (define-key calc-mode-map "fn" 'calc-min)
 299   (define-key calc-mode-map "fr" 'calc-re)
 300   (define-key calc-mode-map "fs" 'calc-sign)
 301   (define-key calc-mode-map "fx" 'calc-max)
 302   (define-key calc-mode-map "fy" 'calc-bessel-Y)
 303   (define-key calc-mode-map "fA" 'calc-abssqr)
 304   (define-key calc-mode-map "fB" 'calc-inc-beta)
 305   (define-key calc-mode-map "fE" 'calc-expm1)
 306   (define-key calc-mode-map "fF" 'calc-floor)
 307   (define-key calc-mode-map "fG" 'calc-inc-gamma)
 308   (define-key calc-mode-map "fI" 'calc-ilog)
 309   (define-key calc-mode-map "fL" 'calc-lnp1)
 310   (define-key calc-mode-map "fM" 'calc-mant-part)
 311   (define-key calc-mode-map "fQ" 'calc-isqrt)
 312   (define-key calc-mode-map "fS" 'calc-scale-float)
 313   (define-key calc-mode-map "fT" 'calc-arctan2)
 314   (define-key calc-mode-map "fX" 'calc-xpon-part)
 315   (define-key calc-mode-map "f[" 'calc-decrement)
 316   (define-key calc-mode-map "f]" 'calc-increment)
 317
 318   (define-key calc-mode-map "g" nil)
 319   (define-key calc-mode-map "g?" 'calc-g-prefix-help)
 320   (define-key calc-mode-map "ga" 'calc-graph-add)
 321   (define-key calc-mode-map "gb" 'calc-graph-border)
 322   (define-key calc-mode-map "gc" 'calc-graph-clear)
 323   (define-key calc-mode-map "gd" 'calc-graph-delete)
 324   (define-key calc-mode-map "gf" 'calc-graph-fast)
 325   (define-key calc-mode-map "gg" 'calc-graph-grid)
 326   (define-key calc-mode-map "gh" 'calc-graph-header)
 327   (define-key calc-mode-map "gk" 'calc-graph-key)
 328   (define-key calc-mode-map "gj" 'calc-graph-juggle)
 329   (define-key calc-mode-map "gl" 'calc-graph-log-x)
 330   (define-key calc-mode-map "gn" 'calc-graph-name)
 331   (define-key calc-mode-map "gp" 'calc-graph-plot)
 332   (define-key calc-mode-map "gq" 'calc-graph-quit)
 333   (define-key calc-mode-map "gr" 'calc-graph-range-x)
 334   (define-key calc-mode-map "gs" 'calc-graph-line-style)
 335   (define-key calc-mode-map "gt" 'calc-graph-title-x)
 336   (define-key calc-mode-map "gv" 'calc-graph-view-commands)
 337   (define-key calc-mode-map "gx" 'calc-graph-display)
 338   (define-key calc-mode-map "gz" 'calc-graph-zero-x)
 339   (define-key calc-mode-map "gA" 'calc-graph-add-3d)
 340   (define-key calc-mode-map "gC" 'calc-graph-command)
 341   (define-key calc-mode-map "gD" 'calc-graph-device)
 342   (define-key calc-mode-map "gF" 'calc-graph-fast-3d)
 343   (define-key calc-mode-map "gG" 'calc-argument)
 344   (define-key calc-mode-map "gH" 'calc-graph-hide)
 345   (define-key calc-mode-map "gK" 'calc-graph-kill)
 346   (define-key calc-mode-map "gL" 'calc-graph-log-y)
 347   (define-key calc-mode-map "gN" 'calc-graph-num-points)
 348   (define-key calc-mode-map "gO" 'calc-graph-output)
 349   (define-key calc-mode-map "gP" 'calc-graph-print)
 350   (define-key calc-mode-map "gR" 'calc-graph-range-y)
 351   (define-key calc-mode-map "gS" 'calc-graph-point-style)
 352   (define-key calc-mode-map "gT" 'calc-graph-title-y)
 353   (define-key calc-mode-map "gV" 'calc-graph-view-trail)
 354   (define-key calc-mode-map "gX" 'calc-graph-geometry)
 355   (define-key calc-mode-map "gZ" 'calc-graph-zero-y)
 356   (define-key calc-mode-map "g\C-l" 'calc-graph-log-z)
 357   (define-key calc-mode-map "g\C-r" 'calc-graph-range-z)
 358   (define-key calc-mode-map "g\C-t" 'calc-graph-title-z)
 359
 360   (define-key calc-mode-map "h" 'calc-help-prefix)
 361
 362   (define-key calc-mode-map "j" nil)
 363   (define-key calc-mode-map "j?" 'calc-j-prefix-help)
 364   (define-key calc-mode-map "ja" 'calc-select-additional)
 365   (define-key calc-mode-map "jb" 'calc-break-selections)
 366   (define-key calc-mode-map "jc" 'calc-clear-selections)
 367   (define-key calc-mode-map "jd" 'calc-show-selections)
 368   (define-key calc-mode-map "je" 'calc-enable-selections)
 369   (define-key calc-mode-map "jl" 'calc-select-less)
 370   (define-key calc-mode-map "jm" 'calc-select-more)
 371   (define-key calc-mode-map "jn" 'calc-select-next)
 372   (define-key calc-mode-map "jo" 'calc-select-once)
 373   (define-key calc-mode-map "jp" 'calc-select-previous)
 374   (define-key calc-mode-map "jr" 'calc-rewrite-selection)
 375   (define-key calc-mode-map "js" 'calc-select-here)
 376   (define-key calc-mode-map "jv" 'calc-sel-evaluate)
 377   (define-key calc-mode-map "ju" 'calc-unselect)
 378   (define-key calc-mode-map "jC" 'calc-sel-commute)
 379   (define-key calc-mode-map "jD" 'calc-sel-distribute)
 380   (define-key calc-mode-map "jE" 'calc-sel-jump-equals)
 381   (define-key calc-mode-map "jI" 'calc-sel-isolate)
 382   (define-key calc-mode-map "jJ" 'calc-conj)
 383   (define-key calc-mode-map "jL" 'calc-commute-left)
 384   (define-key calc-mode-map "jM" 'calc-sel-merge)
 385   (define-key calc-mode-map "jN" 'calc-sel-negate)
 386   (define-key calc-mode-map "jO" 'calc-select-once-maybe)
 387   (define-key calc-mode-map "jR" 'calc-commute-right)
 388   (define-key calc-mode-map "jS" 'calc-select-here-maybe)
 389   (define-key calc-mode-map "jU" 'calc-sel-unpack)
 390   (define-key calc-mode-map "j&" 'calc-sel-invert)
 391   (define-key calc-mode-map "j\r" 'calc-copy-selection)
 392   (define-key calc-mode-map "j\n" 'calc-copy-selection)
 393   (define-key calc-mode-map "j\010" 'calc-del-selection)
 394   (define-key calc-mode-map "j\177" 'calc-del-selection)
 395   (define-key calc-mode-map "j'" 'calc-enter-selection)
 396   (define-key calc-mode-map "j`" 'calc-edit-selection)
 397   (define-key calc-mode-map "j+" 'calc-sel-add-both-sides)
 398   (define-key calc-mode-map "j-" 'calc-sel-sub-both-sides)
 399   (define-key calc-mode-map "j*" 'calc-sel-mult-both-sides)
 400   (define-key calc-mode-map "j/" 'calc-sel-div-both-sides)
 401   (define-key calc-mode-map "j\"" 'calc-sel-expand-formula)
 402
 403   (define-key calc-mode-map "k" nil)
 404   (define-key calc-mode-map "k?" 'calc-k-prefix-help)
 405   (define-key calc-mode-map "ka" 'calc-random-again)
 406   (define-key calc-mode-map "kb" 'calc-bernoulli-number)
 407   (define-key calc-mode-map "kc" 'calc-choose)
 408   (define-key calc-mode-map "kd" 'calc-double-factorial)
 409   (define-key calc-mode-map "ke" 'calc-euler-number)
 410   (define-key calc-mode-map "kf" 'calc-prime-factors)
 411   (define-key calc-mode-map "kg" 'calc-gcd)
 412   (define-key calc-mode-map "kh" 'calc-shuffle)
 413   (define-key calc-mode-map "kl" 'calc-lcm)
 414   (define-key calc-mode-map "km" 'calc-moebius)
 415   (define-key calc-mode-map "kn" 'calc-next-prime)
 416   (define-key calc-mode-map "kp" 'calc-prime-test)
 417   (define-key calc-mode-map "kr" 'calc-random)
 418   (define-key calc-mode-map "ks" 'calc-stirling-number)
 419   (define-key calc-mode-map "kt" 'calc-totient)
 420   (define-key calc-mode-map "kB" 'calc-utpb)
 421   (define-key calc-mode-map "kC" 'calc-utpc)
 422   (define-key calc-mode-map "kE" 'calc-extended-gcd)
 423   (define-key calc-mode-map "kF" 'calc-utpf)
 424   (define-key calc-mode-map "kK" 'calc-keep-args)
 425   (define-key calc-mode-map "kN" 'calc-utpn)
 426   (define-key calc-mode-map "kP" 'calc-utpp)
 427   (define-key calc-mode-map "kT" 'calc-utpt)
 428
 429   (define-key calc-mode-map "m" nil)
 430   (define-key calc-mode-map "m?" 'calc-m-prefix-help)
 431   (define-key calc-mode-map "ma" 'calc-algebraic-mode)
 432   (define-key calc-mode-map "md" 'calc-degrees-mode)
 433   (define-key calc-mode-map "me" 'calc-embedded-preserve-modes)
 434   (define-key calc-mode-map "mf" 'calc-frac-mode)
 435   (define-key calc-mode-map "mg" 'calc-get-modes)
 436   (define-key calc-mode-map "mh" 'calc-hms-mode)
 437   (define-key calc-mode-map "mi" 'calc-infinite-mode)
 438   (define-key calc-mode-map "mm" 'calc-save-modes)
 439   (define-key calc-mode-map "mp" 'calc-polar-mode)
 440   (define-key calc-mode-map "mr" 'calc-radians-mode)
 441   (define-key calc-mode-map "ms" 'calc-symbolic-mode)
 442   (define-key calc-mode-map "mt" 'calc-total-algebraic-mode)
 443   (define-key calc-mode-map "\emt" 'calc-total-algebraic-mode)
 444   (define-key calc-mode-map "\em\et" 'calc-total-algebraic-mode)
 445   (define-key calc-mode-map "mv" 'calc-matrix-mode)
 446   (define-key calc-mode-map "mw" 'calc-working)
 447   (define-key calc-mode-map "mx" 'calc-always-load-extensions)
 448   (define-key calc-mode-map "mA" 'calc-alg-simplify-mode)
 449   (define-key calc-mode-map "mB" 'calc-bin-simplify-mode)
 450   (define-key calc-mode-map "mC" 'calc-auto-recompute)
 451   (define-key calc-mode-map "mD" 'calc-default-simplify-mode)
 452   (define-key calc-mode-map "mE" 'calc-ext-simplify-mode)
 453   (define-key calc-mode-map "mF" 'calc-settings-file-name)
 454   (define-key calc-mode-map "mM" 'calc-more-recursion-depth)
 455   (define-key calc-mode-map "mN" 'calc-num-simplify-mode)
 456   (define-key calc-mode-map "mO" 'calc-no-simplify-mode)
 457   (define-key calc-mode-map "mR" 'calc-mode-record-mode)
 458   (define-key calc-mode-map "mS" 'calc-shift-prefix)
 459   (define-key calc-mode-map "mU" 'calc-units-simplify-mode)
 460   (define-key calc-mode-map "mX" 'calc-load-everything)
 461
 462   (define-key calc-mode-map "r" nil)
 463   (define-key calc-mode-map "r?" 'calc-r-prefix-help)
 464
 465   (define-key calc-mode-map "s" nil)
 466   (define-key calc-mode-map "s?" 'calc-s-prefix-help)
 467   (define-key calc-mode-map "sc" 'calc-copy-variable)
 468   (define-key calc-mode-map "sd" 'calc-declare-variable)
 469   (define-key calc-mode-map "se" 'calc-edit-variable)
 470   (define-key calc-mode-map "si" 'calc-insert-variables)
 471   (define-key calc-mode-map "sk" 'calc-copy-special-constant)
 472   (define-key calc-mode-map "sl" 'calc-let)
 473   (define-key calc-mode-map "sm" 'calc-store-map)
 474   (define-key calc-mode-map "sn" 'calc-store-neg)
 475   (define-key calc-mode-map "sp" 'calc-permanent-variable)
 476   (define-key calc-mode-map "sr" 'calc-recall)
 477   (define-key calc-mode-map "ss" 'calc-store)
 478   (define-key calc-mode-map "st" 'calc-store-into)
 479   (define-key calc-mode-map "su" 'calc-unstore)
 480   (define-key calc-mode-map "sx" 'calc-store-exchange)
 481   (define-key calc-mode-map "sA" 'calc-edit-AlgSimpRules)
 482   (define-key calc-mode-map "sD" 'calc-edit-Decls)
 483   (define-key calc-mode-map "sE" 'calc-edit-EvalRules)
 484   (define-key calc-mode-map "sF" 'calc-edit-FitRules)
 485   (define-key calc-mode-map "sG" 'calc-edit-GenCount)
 486   (define-key calc-mode-map "sH" 'calc-edit-Holidays)
 487   (define-key calc-mode-map "sI" 'calc-edit-IntegLimit)
 488   (define-key calc-mode-map "sL" 'calc-edit-LineStyles)
 489   (define-key calc-mode-map "sP" 'calc-edit-PointStyles)
 490   (define-key calc-mode-map "sR" 'calc-edit-PlotRejects)
 491   (define-key calc-mode-map "sS" 'calc-sin)
 492   (define-key calc-mode-map "sT" 'calc-edit-TimeZone)
 493   (define-key calc-mode-map "sU" 'calc-edit-Units)
 494   (define-key calc-mode-map "sX" 'calc-edit-ExtSimpRules)
 495   (define-key calc-mode-map "s+" 'calc-store-plus)
 496   (define-key calc-mode-map "s-" 'calc-store-minus)
 497   (define-key calc-mode-map "s*" 'calc-store-times)
 498   (define-key calc-mode-map "s/" 'calc-store-div)
 499   (define-key calc-mode-map "s^" 'calc-store-power)
 500   (define-key calc-mode-map "s|" 'calc-store-concat)
 501   (define-key calc-mode-map "s&" 'calc-store-inv)
 502   (define-key calc-mode-map "s[" 'calc-store-decr)
 503   (define-key calc-mode-map "s]" 'calc-store-incr)
 504   (define-key calc-mode-map "s:" 'calc-assign)
 505   (define-key calc-mode-map "s=" 'calc-evalto)
 506
 507   (define-key calc-mode-map "t" nil)
 508   (define-key calc-mode-map "t?" 'calc-t-prefix-help)
 509   (define-key calc-mode-map "tb" 'calc-trail-backward)
 510   (define-key calc-mode-map "td" 'calc-trail-display)
 511   (define-key calc-mode-map "tf" 'calc-trail-forward)
 512   (define-key calc-mode-map "th" 'calc-trail-here)
 513   (define-key calc-mode-map "ti" 'calc-trail-in)
 514   (define-key calc-mode-map "tk" 'calc-trail-kill)
 515   (define-key calc-mode-map "tm" 'calc-trail-marker)
 516   (define-key calc-mode-map "tn" 'calc-trail-next)
 517   (define-key calc-mode-map "to" 'calc-trail-out)
 518   (define-key calc-mode-map "tp" 'calc-trail-previous)
 519   (define-key calc-mode-map "tr" 'calc-trail-isearch-backward)
 520   (define-key calc-mode-map "ts" 'calc-trail-isearch-forward)
 521   (define-key calc-mode-map "ty" 'calc-trail-yank)
 522   (define-key calc-mode-map "t[" 'calc-trail-first)
 523   (define-key calc-mode-map "t]" 'calc-trail-last)
 524   (define-key calc-mode-map "t<" 'calc-trail-scroll-left)
 525   (define-key calc-mode-map "t>" 'calc-trail-scroll-right)
 526   (define-key calc-mode-map "t{" 'calc-trail-backward)
 527   (define-key calc-mode-map "t}" 'calc-trail-forward)
 528   (define-key calc-mode-map "t." 'calc-full-trail-vectors)
 529   (define-key calc-mode-map "tC" 'calc-convert-time-zones)
 530   (define-key calc-mode-map "tD" 'calc-date)
 531   (define-key calc-mode-map "tI" 'calc-inc-month)
 532   (define-key calc-mode-map "tJ" 'calc-julian)
 533   (define-key calc-mode-map "tM" 'calc-new-month)
 534   (define-key calc-mode-map "tN" 'calc-now)
 535   (define-key calc-mode-map "tP" 'calc-date-part)
 536   (define-key calc-mode-map "tT" 'calc-tan)
 537   (define-key calc-mode-map "tU" 'calc-unix-time)
 538   (define-key calc-mode-map "tW" 'calc-new-week)
 539   (define-key calc-mode-map "tY" 'calc-new-year)
 540   (define-key calc-mode-map "tZ" 'calc-time-zone)
 541   (define-key calc-mode-map "t+" 'calc-business-days-plus)
 542   (define-key calc-mode-map "t-" 'calc-business-days-minus)
 543
 544   (define-key calc-mode-map "u" 'nil)
 545   (define-key calc-mode-map "u?" 'calc-u-prefix-help)
 546   (define-key calc-mode-map "ua" 'calc-autorange-units)
 547   (define-key calc-mode-map "ub" 'calc-base-units)
 548   (define-key calc-mode-map "uc" 'calc-convert-units)
 549   (define-key calc-mode-map "ud" 'calc-define-unit)
 550   (define-key calc-mode-map "ue" 'calc-explain-units)
 551   (define-key calc-mode-map "ug" 'calc-get-unit-definition)
 552   (define-key calc-mode-map "up" 'calc-permanent-units)
 553   (define-key calc-mode-map "ur" 'calc-remove-units)
 554   (define-key calc-mode-map "us" 'calc-simplify-units)
 555   (define-key calc-mode-map "ut" 'calc-convert-temperature)
 556   (define-key calc-mode-map "uu" 'calc-undefine-unit)
 557   (define-key calc-mode-map "uv" 'calc-enter-units-table)
 558   (define-key calc-mode-map "ux" 'calc-extract-units)
 559   (define-key calc-mode-map "uV" 'calc-view-units-table)
 560   (define-key calc-mode-map "uC" 'calc-vector-covariance)
 561   (define-key calc-mode-map "uG" 'calc-vector-geometric-mean)
 562   (define-key calc-mode-map "uM" 'calc-vector-mean)
 563   (define-key calc-mode-map "uN" 'calc-vector-min)
 564   (define-key calc-mode-map "uS" 'calc-vector-sdev)
 565   (define-key calc-mode-map "uU" 'calc-undo)
 566   (define-key calc-mode-map "uX" 'calc-vector-max)
 567   (define-key calc-mode-map "u#" 'calc-vector-count)
 568   (define-key calc-mode-map "u+" 'calc-vector-sum)
 569   (define-key calc-mode-map "u*" 'calc-vector-product)
 570
 571   (define-key calc-mode-map "v" 'nil)
 572   (define-key calc-mode-map "v?" 'calc-v-prefix-help)
 573   (define-key calc-mode-map "va" 'calc-arrange-vector)
 574   (define-key calc-mode-map "vb" 'calc-build-vector)
 575   (define-key calc-mode-map "vc" 'calc-mcol)
 576   (define-key calc-mode-map "vd" 'calc-diag)
 577   (define-key calc-mode-map "ve" 'calc-expand-vector)
 578   (define-key calc-mode-map "vf" 'calc-vector-find)
 579   (define-key calc-mode-map "vh" 'calc-head)
 580   (define-key calc-mode-map "vi" 'calc-ident)
 581   (define-key calc-mode-map "vk" 'calc-cons)
 582   (define-key calc-mode-map "vl" 'calc-vlength)
 583   (define-key calc-mode-map "vm" 'calc-mask-vector)
 584   (define-key calc-mode-map "vn" 'calc-rnorm)
 585   (define-key calc-mode-map "vp" 'calc-pack)
 586   (define-key calc-mode-map "vr" 'calc-mrow)
 587   (define-key calc-mode-map "vs" 'calc-subvector)
 588   (define-key calc-mode-map "vt" 'calc-transpose)
 589   (define-key calc-mode-map "vu" 'calc-unpack)
 590   (define-key calc-mode-map "vv" 'calc-reverse-vector)
 591   (define-key calc-mode-map "vx" 'calc-index)
 592   (define-key calc-mode-map "vA" 'calc-apply)
 593   (define-key calc-mode-map "vC" 'calc-cross)
 594   (define-key calc-mode-map "vD" 'calc-mdet)
 595   (define-key calc-mode-map "vE" 'calc-set-enumerate)
 596   (define-key calc-mode-map "vF" 'calc-set-floor)
 597   (define-key calc-mode-map "vG" 'calc-grade)
 598   (define-key calc-mode-map "vH" 'calc-histogram)
 599   (define-key calc-mode-map "vI" 'calc-inner-product)
 600   (define-key calc-mode-map "vJ" 'calc-conj-transpose)
 601   (define-key calc-mode-map "vL" 'calc-mlud)
 602   (define-key calc-mode-map "vM" 'calc-map)
 603   (define-key calc-mode-map "vN" 'calc-cnorm)
 604   (define-key calc-mode-map "vO" 'calc-outer-product)
 605   (define-key calc-mode-map "vR" 'calc-reduce)
 606   (define-key calc-mode-map "vS" 'calc-sort)
 607   (define-key calc-mode-map "vT" 'calc-mtrace)
 608   (define-key calc-mode-map "vU" 'calc-accumulate)
 609   (define-key calc-mode-map "vV" 'calc-set-union)
 610   (define-key calc-mode-map "vX" 'calc-set-xor)
 611   (define-key calc-mode-map "v^" 'calc-set-intersect)
 612   (define-key calc-mode-map "v-" 'calc-set-difference)
 613   (define-key calc-mode-map "v~" 'calc-set-complement)
 614   (define-key calc-mode-map "v:" 'calc-set-span)
 615   (define-key calc-mode-map "v#" 'calc-set-cardinality)
 616   (define-key calc-mode-map "v+" 'calc-remove-duplicates)
 617   (define-key calc-mode-map "v&" 'calc-inv)
 618   (define-key calc-mode-map "v<" 'calc-matrix-left-justify)
 619   (define-key calc-mode-map "v=" 'calc-matrix-center-justify)
 620   (define-key calc-mode-map "v>" 'calc-matrix-right-justify)
 621   (define-key calc-mode-map "v." 'calc-full-vectors)
 622   (define-key calc-mode-map "v/" 'calc-break-vectors)
 623   (define-key calc-mode-map "v," 'calc-vector-commas)
 624   (define-key calc-mode-map "v[" 'calc-vector-brackets)
 625   (define-key calc-mode-map "v]" 'calc-matrix-brackets)
 626   (define-key calc-mode-map "v{" 'calc-vector-braces)
 627   (define-key calc-mode-map "v}" 'calc-matrix-brackets)
 628   (define-key calc-mode-map "v(" 'calc-vector-parens)
 629   (define-key calc-mode-map "v)" 'calc-matrix-brackets)
 630   ;; We can't rely on the automatic upper->lower conversion because
 631   ;; in the global map V is explicitly bound, so we need to bind it
 632   ;; explicitly as well :-(  --stef
 633   (define-key calc-mode-map "V" (lookup-key calc-mode-map "v"))
 634
 635   (define-key calc-mode-map "z" 'nil)
 636   (define-key calc-mode-map "z?" 'calc-z-prefix-help)
 637
 638   (define-key calc-mode-map "Z" 'nil)
 639   (define-key calc-mode-map "Z?" 'calc-shift-Z-prefix-help)
 640   (define-key calc-mode-map "ZC" 'calc-user-define-composition)
 641   (define-key calc-mode-map "ZD" 'calc-user-define)
 642   (define-key calc-mode-map "ZE" 'calc-user-define-edit)
 643   (define-key calc-mode-map "ZF" 'calc-user-define-formula)
 644   (define-key calc-mode-map "ZG" 'calc-get-user-defn)
 645   (define-key calc-mode-map "ZI" 'calc-user-define-invocation)
 646   (define-key calc-mode-map "ZK" 'calc-user-define-kbd-macro)
 647   (define-key calc-mode-map "ZP" 'calc-user-define-permanent)
 648   (define-key calc-mode-map "ZS" 'calc-edit-user-syntax)
 649   (define-key calc-mode-map "ZT" 'calc-timing)
 650   (define-key calc-mode-map "ZU" 'calc-user-undefine)
 651   (define-key calc-mode-map "Z[" 'calc-kbd-if)
 652   (define-key calc-mode-map "Z:" 'calc-kbd-else)
 653   (define-key calc-mode-map "Z|" 'calc-kbd-else-if)
 654   (define-key calc-mode-map "Z]" 'calc-kbd-end-if)
 655   (define-key calc-mode-map "Z<" 'calc-kbd-repeat)
 656   (define-key calc-mode-map "Z>" 'calc-kbd-end-repeat)
 657   (define-key calc-mode-map "Z(" 'calc-kbd-for)
 658   (define-key calc-mode-map "Z)" 'calc-kbd-end-for)
 659   (define-key calc-mode-map "Z{" 'calc-kbd-loop)
 660   (define-key calc-mode-map "Z}" 'calc-kbd-end-loop)
 661   (define-key calc-mode-map "Z/" 'calc-kbd-break)
 662   (define-key calc-mode-map "Z`" 'calc-kbd-push)
 663   (define-key calc-mode-map "Z'" 'calc-kbd-pop)
 664   (define-key calc-mode-map "Z=" 'calc-kbd-report)
 665   (define-key calc-mode-map "Z#" 'calc-kbd-query)
 666
 667   (calc-init-prefixes)
 668
 669   (mapc (function
 670          (lambda (x)
 671           (define-key calc-mode-map (format "c%c" x) 'calc-clean-num)
 672           (define-key calc-mode-map (format "j%c" x) 'calc-select-part)
 673           (define-key calc-mode-map (format "r%c" x) 'calc-recall-quick)
 674           (define-key calc-mode-map (format "s%c" x) 'calc-store-quick)
 675           (define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick)
 676           (define-key calc-mode-map (format "u%c" x) 'calc-quick-units)))
 677         "0123456789")
 678
 679   (let ((i ?A))
 680     (while (<= i ?z)
 681       (if (eq (car-safe (aref (nth 1 calc-mode-map) i)) 'keymap)
 682           (aset (nth 1 calc-mode-map) i
 683                 (cons 'keymap (cons (cons ?\e (aref (nth 1 calc-mode-map) i))
 684                                     (cdr (aref (nth 1 calc-mode-map) i))))))
 685       (setq i (1+ i))))
 686
 687   (setq calc-alg-map (copy-keymap calc-mode-map)
 688         calc-alg-esc-map (copy-keymap esc-map))
 689   (let ((i 32))
 690     (while (< i 127)
 691       (or (memq i '(?' ?` ?= ??))
 692           (aset (nth 1 calc-alg-map) i 'calc-auto-algebraic-entry))
 693       (or (memq i '(?# ?x ?0 ?1 ?2 ?3 ?4 ?5 ?6 ?7 ?8 ?9))
 694           (aset (nth 1 calc-alg-esc-map) i (aref (nth 1 calc-mode-map) i)))
 695       (setq i (1+ i))))
 696   (define-key calc-alg-map "\e" calc-alg-esc-map)
 697   (define-key calc-alg-map "\e\t" 'calc-roll-up)
 698   (define-key calc-alg-map "\e\C-m" 'calc-last-args-stub)
 699   (define-key calc-alg-map "\e\177" 'calc-pop-above)
 700
 701 ;;;; (Autoloads here)
 702   (mapc (function (lambda (x)
 703     (mapcar (function (lambda (func)
 704       (autoload func (car x)))) (cdr x))))
 705     '(
 706
 707  ("calc-alg" calc-has-rules math-defsimplify
 708 calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
 709 calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
 710 calcFunc-simplify calcFunc-subst calcFunc-powerexpand math-beforep
 711 math-build-polynomial-expr math-expand-formula math-expr-contains
 712 math-expr-contains-count math-expr-depends math-expr-height
 713 math-expr-subst math-expr-weight math-integer-plus math-is-linear
 714 math-is-multiple math-is-polynomial math-linear-in math-multiple-of
 715 math-poly-depends math-poly-mix math-poly-mul
 716 math-poly-simplify math-poly-zerop math-polynomial-base
 717 math-polynomial-p math-recompile-eval-rules math-simplify
 718 math-simplify-exp math-simplify-extended math-simplify-sqrt
 719 math-to-simple-fraction)
 720
 721  ("calcalg2" calcFunc-asum calcFunc-deriv
 722 calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly
 723 calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots
 724 calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor
 725 calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12
 726 math-integral-rational-funcs math-lcm-denoms math-looks-evenp
 727 math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn
 728 math-solve-for math-sum-rec math-try-integral)
 729
 730  ("calcalg3" calcFunc-efit calcFunc-fit
 731 calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar
 732 calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize
 733 calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint
 734 calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot
 735 calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate
 736 math-ninteg-midpoint math-ninteg-romberg math-poly-interp)
 737
 738  ("calc-arith" calcFunc-abs calcFunc-abssqr
 739 calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag
 740 calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg
 741 calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd
 742 calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
 743 calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
 744 calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
 745 calcFunc-idiv calcFunc-incr calcFunc-ldiv calcFunc-mant calcFunc-max calcFunc-min
 746 calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
 747 calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
 748 calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
 749 math-add-objects-fancy math-add-or-sub math-add-symb-fancy
 750 math-ceiling math-combine-prod math-combine-sum math-div-by-zero
 751 math-div-objects-fancy math-div-symb-fancy math-div-zero
 752 math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg
 753 math-intv-constp math-known-evenp math-known-imagp math-known-integerp
 754 math-known-matrixp math-known-negp math-known-nonnegp
 755 math-known-nonposp math-known-nonzerop math-known-num-integerp
 756 math-known-oddp math-known-posp math-known-realp math-known-scalarp
 757 math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy
 758 math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy
 759 math-neg-float math-okay-neg math-possible-signs math-possible-types
 760 math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero
 761 math-quarter-integer math-round math-setup-declarations math-sqr
 762 math-sqr-float math-trunc-fancy math-trunc-special)
 763
 764  ("calc-bin" calcFunc-and calcFunc-ash
 765 calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or
 766 calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip
 767 math-compute-max-digits math-convert-radix-digits math-float-parts
 768 math-format-bignum-binary math-format-bignum-hex
 769 math-format-bignum-octal math-format-bignum-radix math-format-binary
 770 math-format-radix math-format-radix-float math-integer-log2
 771 math-power-of-2 math-radix-float-power)
 772
 773  ("calc-comb"  calc-report-prime-test
 774 calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact
 775 calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime
 776 calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime
 777 calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2
 778 calcFunc-totient math-init-random-base math-member math-prime-test
 779 math-random-base)
 780
 781  ("calccomp" calcFunc-cascent calcFunc-cdescent
 782 calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent
 783 math-comp-height math-comp-width math-compose-expr
 784 math-composition-to-string math-stack-value-offset-fancy
 785 math-vector-is-string math-vector-to-string)
 786
 787  ("calc-cplx" calcFunc-arg calcFunc-conj
 788 calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex
 789 math-fix-circular math-imaginary math-imaginary-i math-normalize-polar
 790 math-polar math-want-polar)
 791
 792  ("calc-embed" calc-do-embedded
 793 calc-do-embedded-activate calc-embedded-evaluate-expr
 794 calc-embedded-modes-change calc-embedded-var-change
 795 calc-embedded-preserve-modes)
 796
 797  ("calc-fin" calc-to-percentage calcFunc-ddb
 798 calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb
 799 calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb
 800 calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl
 801 calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd)
 802
 803  ("calc-forms" calcFunc-badd calcFunc-bsub
 804 calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms
 805 calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear
 806 calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute
 807 calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear
 808 calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second
 809 calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime
 810 calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals
 811 math-date-parts math-date-to-dt math-div-mod math-dt-to-date
 812 math-format-date math-from-business-day math-from-hms math-make-intv
 813 math-make-mod math-make-sdev math-mod-intv math-normalize-hms
 814 math-normalize-mod math-parse-date math-read-angle-brackets
 815 math-setup-add-holidays math-setup-holidays math-setup-year-holidays
 816 math-sort-intv math-to-business-day math-to-hms)
 817
 818  ("calc-frac" calc-add-fractions
 819 calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac
 820 math-make-frac)
 821
 822  ("calc-funcs" calc-prob-dist calcFunc-bern
 823 calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB
 824 calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler
 825 calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ
 826 calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf
 827 calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc
 828 calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt
 829 math-bernoulli-number math-gammap1-raw)
 830
 831  ("calc-graph" calc-graph-show-tty)
 832
 833  ("calc-incom" calc-digit-dots)
 834
 835  ("calc-keypd" calc-do-keypad
 836 calc-keypad-x-left-click calc-keypad-x-middle-click
 837 calc-keypad-x-right-click)
 838
 839  ("calc-lang" calc-set-language
 840 math-read-big-balance math-read-big-rec)
 841
 842  ("calc-map" calc-get-operator calcFunc-accum
 843 calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call
 844 calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc
 845 calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr
 846 calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum
 847 calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced
 848 calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec
 849 calcFunc-rreduced calcFunc-rreducer math-build-call
 850 math-calcFunc-to-var math-multi-subst math-multi-subst-rec
 851 math-var-to-calcFunc)
 852
 853  ("calc-mtx" calcFunc-det calcFunc-lud calcFunc-tr
 854 math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud
 855 math-mul-mat-vec math-mul-mats math-row-matrix)
 856
 857  ("calc-math" calcFunc-alog calcFunc-arccos
 858 calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh
 859 calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-csc
 860 calcFunc-csch calcFunc-cos calcFunc-cosh calcFunc-cot calcFunc-coth
 861 calcFunc-deg calcFunc-exp calcFunc-exp10 calcFunc-expm1
 862 calcFunc-hypot calcFunc-ilog calcFunc-isqrt calcFunc-ln calcFunc-lnp1
 863 calcFunc-log calcFunc-log10 calcFunc-nroot calcFunc-rad calcFunc-sec
 864 calcFunc-sech calcFunc-sin
 865 calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan
 866 calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw
 867 math-arctan2-raw math-cos-raw math-cot-raw math-csc-raw
 868 math-exp-minus-1-raw math-exp-raw
 869 math-from-radians math-from-radians-2 math-hypot math-infinite-dir
 870 math-isqrt-small math-ln-raw math-nearly-equal math-nearly-equal-float
 871 math-nearly-zerop math-nearly-zerop-float math-nth-root
 872 math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw
 873 math-tan-raw math-to-radians math-to-radians-2)
 874
 875  ("calc-mode" math-get-modes-vec)
 876
 877  ("calc-poly" calcFunc-apart calcFunc-expand
 878 calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat
 879 calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide
 880 calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim
 881 calcFunc-prem math-accum-factors math-atomic-factorp
 882 math-div-poly-const math-div-thru math-expand-power math-expand-term
 883 math-factor-contains math-factor-expr math-factor-expr-part
 884 math-factor-expr-try math-factor-finish math-factor-poly-coefs
 885 math-factor-protect math-mul-thru math-padded-polynomial
 886 math-partial-fractions math-poly-degree math-poly-deriv-coefs
 887 math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p
 888 math-to-ratpoly math-to-ratpoly-rec)
 889
 890  ("calc-prog" calc-default-formula-arglist
 891 calc-execute-kbd-macro calc-finish-user-syntax-edit
 892 calc-fix-token-name calc-fix-user-formula calc-read-parse-table
 893 calc-read-parse-table-part calc-subsetp calc-write-parse-table
 894 calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq
 895 calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue
 896 calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt
 897 calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real
 898 calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable
 899 math-body-refers-to math-break math-composite-inequalities
 900 math-do-defmath math-handle-for math-handle-foreach
 901 math-normalize-logical-op math-return)
 902
 903  ("calc-rewr" calcFunc-match calcFunc-matches
 904 calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches
 905 math-apply-rewrites math-compile-patterns math-compile-rewrites
 906 math-flatten-lands math-match-patterns math-rewrite
 907 math-rewrite-heads)
 908
 909  ("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules
 910 calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules
 911 calc-MergeRules calc-NegateRules
 912 calc-compile-rule-set)
 913
 914  ("calc-sel" calc-auto-selection
 915 calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula
 916 calc-find-parent-formula calc-find-sub-formula calc-prepare-selection
 917 calc-preserve-point calc-replace-selections calc-replace-sub-formula
 918 calc-roll-down-with-selections calc-roll-up-with-selections
 919 calc-sel-error)
 920
 921  ("calc-stat" calc-vector-op calcFunc-agmean
 922 calcFunc-vcorr calcFunc-vcount calcFunc-vcov calcFunc-vflat
 923 calcFunc-vgmean calcFunc-vhmean calcFunc-vmax calcFunc-vmean
 924 calcFunc-vmeane calcFunc-vmedian calcFunc-vmin calcFunc-vpcov
 925 calcFunc-vprod calcFunc-vpsdev calcFunc-vpvar calcFunc-vsdev
 926 calcFunc-vsum calcFunc-vvar math-flatten-many-vecs)
 927
 928  ("calc-store" calc-read-var-name
 929 calc-store-value calc-var-name)
 930
 931  ("calc-stuff" calc-explain-why calcFunc-clean
 932 calcFunc-pclean calcFunc-pfloat calcFunc-pfrac)
 933
 934  ("calc-units" calcFunc-usimplify
 935 math-build-units-table math-build-units-table-buffer
 936 math-check-unit-name math-convert-temperature math-convert-units
 937 math-extract-units math-remove-units math-simplify-units
 938 math-single-units-in-expr-p math-to-standard-units
 939 math-units-in-expr-p)
 940
 941  ("calc-vec" calcFunc-append calcFunc-appendrev
 942 calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross
 943 calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find
 944 calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram
 945 calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims
 946 calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack
 947 calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade
 948 calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec
 949 calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec
 950 calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt
 951 calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev
 952 calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp
 953 calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask
 954 calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack
 955 calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix
 956 math-dimension-error math-dot-product math-flatten-vector math-map-vec
 957 math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set
 958 math-read-brackets math-reduce-cols math-reduce-vec math-transpose)
 959
 960  ("calc-yank" calc-alg-edit calc-clean-newlines
 961 calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit
 962 calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer)
 963
 964 ))
 965
 966   (mapcar (function (lambda (x)
 967     (mapcar (function (lambda (cmd)
 968       (autoload cmd (car x) nil t))) (cdr x))))
 969     '(
 970
 971  ("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
 972 calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
 973 calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
 974 calc-simplify-extended calc-substitute calc-powerexpand)
 975
 976  ("calcalg2" calc-alt-summation calc-derivative
 977 calc-dump-integral-cache calc-integral calc-num-integral
 978 calc-poly-roots calc-product calc-solve-for calc-summation
 979 calc-tabulate calc-taylor)
 980
 981  ("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum
 982 calc-find-root calc-poly-interp)
 983
 984  ("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement
 985 calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min
 986 calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part)
 987
 988  ("calc-bin" calc-and calc-binary-radix calc-clip calc-decimal-radix
 989 calc-diff calc-hex-radix calc-leading-zeros calc-lshift-arith
 990 calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix
 991 calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size
 992 calc-xor)
 993
 994  ("calc-comb" calc-choose calc-double-factorial calc-extended-gcd
 995 calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius
 996 calc-next-prime calc-perm calc-prev-prime calc-prime-factors
 997 calc-prime-test calc-random calc-random-again calc-rrandom
 998 calc-shuffle calc-totient)
 999
1000  ("calc-cplx" calc-argument calc-complex-notation calc-i-notation
1001 calc-im calc-j-notation calc-polar calc-polar-mode calc-re)
1002
1003  ("calc-embed" calc-embedded-copy-formula-as-kill
1004 calc-embedded-duplicate calc-embedded-edit calc-embedded-forget
1005 calc-embedded-kill-formula calc-embedded-mark-formula
1006 calc-embedded-new-formula calc-embedded-next calc-embedded-previous
1007 calc-embedded-select calc-embedded-update-formula calc-embedded-word
1008 calc-find-globals calc-show-plain)
1009
1010  ("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv
1011 calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv
1012 calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change)
1013
1014  ("calc-forms" calc-business-days-minus calc-business-days-plus
1015 calc-convert-time-zones calc-date calc-date-notation calc-date-part
1016 calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month
1017 calc-julian calc-new-month calc-new-week calc-new-year calc-now
1018 calc-time calc-time-zone calc-to-hms calc-unix-time)
1019
1020  ("calc-frac" calc-fdiv calc-frac-mode calc-fraction
1021 calc-over-notation calc-slash-notation)
1022
1023  ("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y
1024 calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta
1025 calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf
1026 calc-utpn calc-utpp calc-utpt)
1027
1028  ("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border
1029 calc-graph-clear calc-graph-command calc-graph-delete
1030 calc-graph-device calc-graph-display calc-graph-fast
1031 calc-graph-fast-3d calc-graph-geometry calc-graph-grid
1032 calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key
1033 calc-graph-kill calc-graph-line-style calc-graph-log-x
1034 calc-graph-log-y calc-graph-log-z calc-graph-name
1035 calc-graph-num-points calc-graph-output calc-graph-plot
1036 calc-graph-point-style calc-graph-print calc-graph-quit
1037 calc-graph-range-x calc-graph-range-y calc-graph-range-z
1038 calc-graph-show-dumb calc-graph-title-x calc-graph-title-y
1039 calc-graph-title-z calc-graph-view-commands calc-graph-view-trail
1040 calc-graph-zero-x calc-graph-zero-y)
1041
1042  ("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help
1043 calc-d-prefix-help calc-describe-function calc-describe-key
1044 calc-describe-key-briefly calc-describe-variable calc-f-prefix-help
1045 calc-full-help calc-g-prefix-help calc-help-prefix
1046 calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help
1047 calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help
1048 calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help
1049 calc-t-prefix-help calc-u-prefix-help calc-v-prefix-help)
1050
1051  ("calc-incom" calc-begin-complex calc-begin-vector calc-comma
1052 calc-dots calc-end-complex calc-end-vector calc-semi)
1053
1054  ("calc-keypd" calc-keypad-menu calc-keypad-menu-back
1055 calc-keypad-press)
1056
1057  ("calc-lang" calc-big-language calc-c-language calc-eqn-language
1058 calc-flat-language calc-fortran-language calc-maple-language
1059 calc-yacas-language calc-maxima-language calc-giac-language
1060 calc-mathematica-language calc-normal-language calc-pascal-language
1061 calc-tex-language calc-latex-language calc-unformatted-language)
1062
1063  ("calc-map" calc-accumulate calc-apply calc-inner-product calc-map
1064 calc-map-equation calc-map-stack calc-outer-product calc-reduce)
1065
1066  ("calc-mtx" calc-mdet calc-mlud calc-mtrace)
1067
1068  ("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh
1069 calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh
1070 calc-cot calc-coth calc-csc calc-csch
1071 calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog
1072 calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10
1073 calc-pi calc-radians-mode calc-sec calc-sech
1074 calc-sin calc-sincos calc-sinh calc-sqrt
1075 calc-tan calc-tanh calc-to-degrees calc-to-radians)
1076
1077  ("calc-mode" calc-alg-simplify-mode calc-algebraic-mode
1078 calc-always-load-extensions calc-auto-recompute calc-auto-why
1079 calc-bin-simplify-mode calc-break-vectors calc-center-justify
1080 calc-default-simplify-mode calc-display-raw calc-eng-notation
1081 calc-ext-simplify-mode calc-fix-notation calc-full-trail-vectors
1082 calc-full-vectors calc-get-modes calc-group-char calc-group-digits
1083 calc-infinite-mode calc-left-justify calc-left-label
1084 calc-line-breaking calc-line-numbering calc-matrix-brackets
1085 calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode
1086 calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode
1087 calc-normal-notation calc-num-simplify-mode calc-point-char
1088 calc-right-justify calc-right-label calc-save-modes calc-sci-notation
1089 calc-settings-file-name calc-shift-prefix calc-symbolic-mode
1090 calc-total-algebraic-mode calc-truncate-down calc-truncate-stack
1091 calc-truncate-up calc-units-simplify-mode calc-vector-braces
1092 calc-vector-brackets calc-vector-commas calc-vector-parens
1093 calc-working)
1094
1095  ("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax
1096 calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
1097 calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if
1098 calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat
1099 calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push
1100 calc-kbd-query calc-kbd-repeat calc-kbd-report calc-less-equal
1101 calc-less-than calc-logical-and calc-logical-if calc-logical-not
1102 calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal
1103 calc-timing calc-user-define calc-user-define-composition
1104 calc-user-define-edit calc-user-define-formula
1105 calc-user-define-invocation calc-user-define-kbd-macro
1106 calc-user-define-permanent calc-user-undefine)
1107
1108  ("calc-rewr" calc-match calc-rewrite calc-rewrite-selection)
1109
1110  ("calc-sel" calc-break-selections calc-clear-selections
1111 calc-copy-selection calc-del-selection calc-edit-selection
1112 calc-enable-selections calc-enter-selection calc-sel-add-both-sides
1113 calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula
1114 calc-sel-mult-both-sides calc-sel-sub-both-sides
1115 calc-select-additional calc-select-here calc-select-here-maybe
1116 calc-select-less calc-select-more calc-select-next calc-select-once
1117 calc-select-once-maybe calc-select-part calc-select-previous
1118 calc-show-selections calc-unselect)
1119
1120  ("calcsel2" calc-commute-left calc-commute-right calc-sel-commute
1121 calc-sel-distribute calc-sel-invert calc-sel-isolate
1122 calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack)
1123
1124  ("calc-stat" calc-vector-correlation calc-vector-count
1125 calc-vector-covariance calc-vector-geometric-mean
1126 calc-vector-harmonic-mean calc-vector-max calc-vector-mean
1127 calc-vector-mean-error calc-vector-median calc-vector-min
1128 calc-vector-pop-covariance calc-vector-pop-sdev
1129 calc-vector-pop-variance calc-vector-product calc-vector-sdev
1130 calc-vector-sum calc-vector-variance)
1131
1132  ("calc-store" calc-assign calc-copy-special-constant
1133 calc-copy-variable calc-declare-variable
1134 calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules
1135 calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount
1136 calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles
1137 calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone
1138 calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables
1139 calc-let calc-permanent-variable calc-recall calc-recall-quick
1140 calc-store calc-store-concat calc-store-decr calc-store-div
1141 calc-store-exchange calc-store-incr calc-store-into
1142 calc-store-into-quick calc-store-inv calc-store-map calc-store-minus
1143 calc-store-neg calc-store-plus calc-store-power calc-store-quick
1144 calc-store-times calc-subscript calc-unstore)
1145
1146  ("calc-stuff" calc-clean calc-clean-num calc-flush-caches
1147 calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix
1148 calc-version calc-why)
1149
1150  ("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward
1151 calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward
1152 calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next
1153 calc-trail-out calc-trail-previous calc-trail-scroll-left
1154 calc-trail-scroll-right calc-trail-yank)
1155
1156  ("calc-undo" calc-last-args calc-redo calc-undo)
1157
1158  ("calc-units" calc-autorange-units calc-base-units
1159 calc-convert-temperature calc-convert-units calc-define-unit
1160 calc-enter-units-table calc-explain-units calc-extract-units
1161 calc-get-unit-definition calc-permanent-units calc-quick-units
1162 calc-remove-units calc-simplify-units calc-undefine-unit
1163 calc-view-units-table)
1164
1165  ("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm
1166 calc-conj-transpose calc-cons calc-cross calc-diag
1167 calc-display-strings calc-expand-vector calc-grade calc-head
1168 calc-histogram calc-ident calc-index calc-mask-vector calc-mcol
1169 calc-mrow calc-pack calc-pack-bits calc-remove-duplicates
1170 calc-reverse-vector calc-rnorm calc-set-cardinality
1171 calc-set-complement calc-set-difference calc-set-enumerate
1172 calc-set-floor calc-set-intersect calc-set-span calc-set-union
1173 calc-set-xor calc-sort calc-subvector calc-tail calc-transpose
1174 calc-unpack calc-unpack-bits calc-vector-find calc-vlength)
1175
1176  ("calc-yank" calc-copy-as-kill calc-copy-region-as-kill
1177 calc-copy-to-buffer calc-edit calc-edit-cancel calc-edit-mode
1178 calc-kill calc-kill-region calc-yank))))
1179
1180 (defun calc-init-prefixes ()
1181   (if calc-shift-prefix
1182       (progn
1183         (define-key calc-mode-map "A" (lookup-key calc-mode-map "a"))
1184         (define-key calc-mode-map "B" (lookup-key calc-mode-map "b"))
1185         (define-key calc-mode-map "C" (lookup-key calc-mode-map "c"))
1186         (define-key calc-mode-map "D" (lookup-key calc-mode-map "d"))
1187         (define-key calc-mode-map "F" (lookup-key calc-mode-map "f"))
1188         (define-key calc-mode-map "G" (lookup-key calc-mode-map "g"))
1189         (define-key calc-mode-map "J" (lookup-key calc-mode-map "j"))
1190         (define-key calc-mode-map "K" (lookup-key calc-mode-map "k"))
1191         (define-key calc-mode-map "M" (lookup-key calc-mode-map "m"))
1192         (define-key calc-mode-map "S" (lookup-key calc-mode-map "s"))
1193         (define-key calc-mode-map "T" (lookup-key calc-mode-map "t"))
1194         (define-key calc-mode-map "U" (lookup-key calc-mode-map "u")))
1195     (define-key calc-mode-map "A" 'calc-abs)
1196     (define-key calc-mode-map "B" 'calc-log)
1197     (define-key calc-mode-map "C" 'calc-cos)
1198     (define-key calc-mode-map "D" 'calc-redo)
1199     (define-key calc-mode-map "F" 'calc-floor)
1200     (define-key calc-mode-map "G" 'calc-argument)
1201     (define-key calc-mode-map "J" 'calc-conj)
1202     (define-key calc-mode-map "K" 'calc-keep-args)
1203     (define-key calc-mode-map "M" 'calc-more-recursion-depth)
1204     (define-key calc-mode-map "S" 'calc-sin)
1205     (define-key calc-mode-map "T" 'calc-tan)
1206     (define-key calc-mode-map "U" 'calc-undo)))
1207
1208 (calc-init-extensions)
1209
1210
1211
1212
1213 ;;;; Miscellaneous.
1214
1215 ;; calc-command-flags is declared in calc.el
1216 (defvar calc-command-flags)
1217
1218 (defun calc-clear-command-flag (f)
1219   (setq calc-command-flags (delq f calc-command-flags)))
1220
1221
1222 (defun calc-record-message (tag &rest args)
1223   (let ((msg (apply 'format args)))
1224     (message "%s" msg)
1225     (calc-record msg tag))
1226   (calc-clear-command-flag 'clear-message))
1227
1228
1229 (defun calc-normalize-fancy (val)
1230   (let ((simp (if (consp calc-simplify-mode)
1231                   (car calc-simplify-mode)
1232                 calc-simplify-mode)))
1233     (cond ((eq simp 'binary)
1234            (let ((s (math-normalize val)))
1235              (if (math-realp s)
1236                  (math-clip (math-round s))
1237                s)))
1238           ((eq simp 'alg)
1239            (math-simplify val))
1240           ((eq simp 'ext)
1241            (math-simplify-extended val))
1242           ((eq simp 'units)
1243            (math-simplify-units val))
1244           (t  ; nil, none, num
1245            (math-normalize val)))))
1246
1247
1248 (defvar calc-help-map nil)
1249
1250 (if calc-help-map
1251     nil
1252   (setq calc-help-map (make-keymap))
1253   (define-key calc-help-map "b" 'calc-describe-bindings)
1254   (define-key calc-help-map "c" 'calc-describe-key-briefly)
1255   (define-key calc-help-map "f" 'calc-describe-function)
1256   (define-key calc-help-map "h" 'calc-full-help)
1257   (define-key calc-help-map "i" 'calc-info)
1258   (define-key calc-help-map "k" 'calc-describe-key)
1259   (define-key calc-help-map "n" 'calc-view-news)
1260   (define-key calc-help-map "s" 'calc-info-summary)
1261   (define-key calc-help-map "t" 'calc-tutorial)
1262   (define-key calc-help-map "v" 'calc-describe-variable)
1263   (define-key calc-help-map "\C-c" 'calc-describe-copying)
1264   (define-key calc-help-map "\C-d" 'calc-describe-distribution)
1265   (define-key calc-help-map "\C-n" 'calc-view-news)
1266   (define-key calc-help-map "\C-w" 'calc-describe-no-warranty)
1267   (define-key calc-help-map "?" 'calc-help-for-help)
1268   (define-key calc-help-map "\C-h" 'calc-help-for-help))
1269
1270 (defvar calc-prefix-help-phase 0)
1271 (defun calc-do-prefix-help (msgs group key)
1272   (if calc-full-help-flag
1273       (list msgs group key)
1274     (if (cdr msgs)
1275         (progn
1276           (setq calc-prefix-help-phase
1277                 (if (eq this-command last-command)
1278                     (% (1+ calc-prefix-help-phase) (1+ (length msgs)))
1279                   0))
1280           (let ((msg (nth calc-prefix-help-phase msgs)))
1281             (message "%s" (if msg
1282                               (concat group ": " msg ":"
1283                                       (make-string
1284                                        (- (apply 'max (mapcar 'length msgs))
1285                                           (length msg)) 32)
1286                                       "  [MORE]"
1287                                       (if key
1288                                           (concat "  " (char-to-string key)
1289                                                   "-")
1290                                         ""))
1291                             (if key (format "%c-" key) "")))))
1292       (setq calc-prefix-help-phase 0)
1293       (if key
1294           (if msgs
1295               (message "%s: %s: %c-" group (car msgs) key)
1296             (message "%s: (none)  %c-" group key))
1297         (message "%s: %s" group (car msgs))))
1298     (and key (calc-unread-command key))))
1299
1300 ;;;; Commands.
1301
1302
1303 ;;; General.
1304
1305 (defun calc-reset (arg)
1306   (interactive "P")
1307   (setq arg (if arg (prefix-numeric-value arg) nil))
1308   (cond
1309    ((and
1310      calc-embedded-info
1311      (equal (aref calc-embedded-info 0) (current-buffer))
1312      (<= (point) (aref calc-embedded-info 5))
1313      (>= (point) (aref calc-embedded-info 4)))
1314     (let ((cbuf (aref calc-embedded-info 1))
1315           (calc-embedded-quiet t))
1316       (save-window-excursion
1317         (calc-embedded nil)
1318         (set-buffer cbuf)
1319         (calc-reset arg))
1320       (calc-embedded nil)))
1321    ((eq major-mode 'calc-mode)
1322     (save-excursion
1323       (unless (and arg (> (abs arg) 0))
1324         (setq calc-stack nil))
1325       (setq calc-undo-list nil
1326             calc-redo-list nil)
1327       (let (calc-stack calc-user-parse-tables calc-standard-date-formats
1328                        calc-invocation-macro)
1329         (mapc (function (lambda (v) (set v nil))) calc-local-var-list)
1330         (if (and arg (<= arg 0))
1331             (calc-mode-var-list-restore-default-values)
1332           (calc-mode-var-list-restore-saved-values)))
1333       (calc-set-language nil nil t)
1334       (calc-mode)
1335       (calc-flush-caches t)
1336       (run-hooks 'calc-reset-hook))
1337     (calc-wrapper
1338      (let ((win (get-buffer-window (current-buffer))))
1339        (calc-realign 0)
1340        ;; Adjust the window height if the window is visible, but doesn't
1341        ;; take up the whole height of the frame.
1342        (if (and
1343             win
1344             (< (window-height win) (1- (frame-height))))
1345            (let ((height (- (window-height win) 2)))
1346              (set-window-point win (point))
1347              (or (= height calc-window-height)
1348                  (let ((swin (selected-window)))
1349                    (select-window win)
1350                    (enlarge-window (- calc-window-height height))
1351                    (select-window swin)))))))
1352     (message "(Calculator reset)"))
1353    (t
1354     (message "(Not inside a Calc buffer)"))))
1355
1356 ;; What a pain; scroll-left behaves differently when called non-interactively.
1357 (defun calc-scroll-left (n)
1358   (interactive "P")
1359   (setq prefix-arg (or n (/ (window-width) 2)))
1360   (call-interactively #'scroll-left))
1361
1362 (defun calc-scroll-right (n)
1363   (interactive "P")
1364   (setq prefix-arg (or n (/ (window-width) 2)))
1365   (call-interactively #'scroll-right))
1366
1367 (defun calc-scroll-up (n)
1368   (interactive "P")
1369   (condition-case err
1370       (scroll-up (or n (/ (window-height) 2)))
1371     (error nil))
1372   (if (pos-visible-in-window-p (max 1 (- (point-max) 2)))
1373       (if (eq major-mode 'calc-mode)
1374           (calc-realign)
1375         (goto-char (point-max))
1376         (set-window-start (selected-window)
1377                           (save-excursion
1378                             (forward-line (- (1- (window-height))))
1379                             (point)))
1380         (forward-line -1))))
1381
1382 (defun calc-scroll-down (n)
1383   (interactive "P")
1384   (or (pos-visible-in-window-p 1)
1385       (scroll-down (or n (/ (window-height) 2)))))
1386
1387
1388 (defun calc-precision (n)
1389   (interactive "NPrecision: ")
1390   (calc-wrapper
1391    (if (< (prefix-numeric-value n) 3)
1392        (error "Precision must be at least 3 digits")
1393      (calc-change-mode 'calc-internal-prec (prefix-numeric-value n)
1394                        (and (memq (car calc-float-format) '(float sci eng))
1395                             (< (nth 1 calc-float-format)
1396                                 (if (= calc-number-radix 10) 0 1))))
1397      (calc-record calc-internal-prec "prec"))
1398    (message "Floating-point precision is %d digits" calc-internal-prec)))
1399
1400
1401 (defun calc-inverse (&optional n)
1402   (interactive "P")
1403   (let* ((hyp-flag (if (or
1404                         (eq major-mode 'calc-keypad-mode)
1405                         (eq major-mode 'calc-trail-mode))
1406                        (with-current-buffer calc-main-buffer
1407                          calc-hyperbolic-flag)
1408                      calc-hyperbolic-flag))
1409          (msg (if hyp-flag
1410                  "Inverse Hyperbolic..."
1411                "Inverse...")))
1412     (calc-fancy-prefix 'calc-inverse-flag msg n)))
1413
1414 (defconst calc-fancy-prefix-map
1415   (let ((map (make-sparse-keymap)))
1416     (define-key map [t] 'calc-fancy-prefix-other-key)
1417     (define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key)
1418     (define-key map [switch-frame] nil)
1419     (define-key map [?\C-u] 'universal-argument)
1420     (define-key map [?0] 'digit-argument)
1421     (define-key map [?1] 'digit-argument)
1422     (define-key map [?2] 'digit-argument)
1423     (define-key map [?3] 'digit-argument)
1424     (define-key map [?4] 'digit-argument)
1425     (define-key map [?5] 'digit-argument)
1426     (define-key map [?6] 'digit-argument)
1427     (define-key map [?7] 'digit-argument)
1428     (define-key map [?8] 'digit-argument)
1429     (define-key map [?9] 'digit-argument)
1430     map)
1431   "Keymap used while processing calc-fancy-prefix.")
1432
1433 (defvar calc-is-keypad-press nil)
1434 (defun calc-fancy-prefix (flag msg n)
1435   (let (prefix)
1436     (calc-wrapper
1437      (calc-set-command-flag 'keep-flags)
1438      (calc-set-command-flag 'no-align)
1439      (setq prefix (set flag (not (symbol-value flag)))
1440            prefix-arg n)
1441      (message "%s" (if prefix msg "")))
1442     (and prefix
1443          (not calc-is-keypad-press)
1444          (if (boundp 'overriding-terminal-local-map)
1445              (setq overriding-terminal-local-map calc-fancy-prefix-map)
1446            (let ((event (calc-read-key t)))
1447              (if (eq (setq last-command-char (car event)) ?\C-u)
1448                  (universal-argument)
1449                (if (or (not (integerp last-command-char))
1450                        (and (>= last-command-char 0) (< last-command-char ? )
1451                             (not (memq last-command-char '(?\e)))))
1452                    (calc-wrapper))  ; clear flags if not a Calc command.
1453                (setq last-command-event (cdr event))
1454                (if (or (not (integerp last-command-char))
1455                        (eq last-command-char ?-))
1456                    (calc-unread-command)
1457                  (digit-argument n))))))))
1458
1459 (defun calc-fancy-prefix-other-key (arg)
1460   (interactive "P")
1461   (if (and
1462        (not (eq last-command-char 'tab))
1463        (not (eq last-command-char 'M-tab))
1464        (or (not (integerp last-command-char))
1465            (and (>= last-command-char 0) (< last-command-char ? )
1466                 (not (eq last-command-char meta-prefix-char)))))
1467      (calc-wrapper))  ; clear flags if not a Calc command.
1468   (setq prefix-arg arg)
1469   (calc-unread-command)
1470   (setq overriding-terminal-local-map nil))
1471
1472 (defun calc-invert-func ()
1473   (save-excursion
1474     (calc-select-buffer)
1475     (setq calc-inverse-flag (not (calc-is-inverse))
1476           calc-hyperbolic-flag (calc-is-hyperbolic)
1477           current-prefix-arg nil)))
1478
1479 (defun calc-is-inverse ()
1480   calc-inverse-flag)
1481
1482 (defun calc-hyperbolic (&optional n)
1483   (interactive "P")
1484   (let* ((inv-flag (if (or
1485                         (eq major-mode 'calc-keypad-mode)
1486                         (eq major-mode 'calc-trail-mode))
1487                        (with-current-buffer calc-main-buffer
1488                          calc-inverse-flag)
1489                      calc-inverse-flag))
1490          (msg (if inv-flag
1491                   "Inverse Hyperbolic..."
1492                 "Hyperbolic...")))
1493     (calc-fancy-prefix 'calc-hyperbolic-flag msg n)))
1494
1495 (defun calc-hyperbolic-func ()
1496   (save-excursion
1497     (calc-select-buffer)
1498     (setq calc-inverse-flag (calc-is-inverse)
1499           calc-hyperbolic-flag (not (calc-is-hyperbolic))
1500           current-prefix-arg nil)))
1501
1502 (defun calc-is-hyperbolic ()
1503   calc-hyperbolic-flag)
1504
1505 (defun calc-keep-args (&optional n)
1506   (interactive "P")
1507   (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
1508
1509
1510 (defun calc-change-mode (var value &optional refresh option)
1511   (if option
1512       (setq value (if value
1513                       (> (prefix-numeric-value value) 0)
1514                     (not (symbol-value var)))))
1515   (or (consp var) (setq var (list var) value (list value)))
1516   (if calc-inverse-flag
1517       (let ((old nil))
1518         (or refresh (error "Not a display-mode command"))
1519         (calc-check-stack 1)
1520         (unwind-protect
1521             (let ((v var))
1522               (while v
1523                 (setq old (cons (symbol-value (car v)) old))
1524                 (set (car v) (car value))
1525                 (setq v (cdr v)
1526                       value (cdr value)))
1527               (calc-refresh-top 1)
1528               (calc-refresh-evaltos)
1529               (symbol-value (car var)))
1530           (let ((v var))
1531             (setq old (nreverse old))
1532             (while v
1533               (set (car v) (car old))
1534               (setq v (cdr v)
1535                     old (cdr old)))
1536             (if (eq (car var) 'calc-language)
1537                 (calc-set-language calc-language calc-language-option t)))))
1538     (let ((chg nil)
1539           (v var))
1540       (while v
1541         (or (equal (symbol-value (car v)) (car value))
1542             (progn
1543               (set (car v) (car value))
1544               (if (eq (car v) 'calc-float-format)
1545                   (setq calc-full-float-format
1546                         (list (if (eq (car (car value)) 'fix)
1547                                   'float
1548                                 (car (car value)))
1549                               0)))
1550               (setq chg t)))
1551         (setq v (cdr v)
1552               value (cdr value)))
1553       (if chg
1554           (progn
1555             (or (and refresh (calc-do-refresh))
1556                 (calc-refresh-evaltos))
1557             (and (eq calc-mode-save-mode 'save)
1558                  (not (equal var '(calc-mode-save-mode)))
1559                  (calc-save-modes))))
1560       (if calc-embedded-info (calc-embedded-modes-change var))
1561       (symbol-value (car var)))))
1562
1563 (defun calc-toggle-banner ()
1564   "Toggle display of the friendly greeting calc normally shows above the stack."
1565   (interactive)
1566   (setq calc-show-banner (not calc-show-banner))
1567   (calc-refresh))
1568
1569 (defun calc-refresh-top (n)
1570   (interactive "p")
1571   (calc-wrapper
1572    (cond ((< n 0)
1573           (setq n (- n))
1574           (let ((entry (calc-top n 'entry))
1575                 (calc-undo-list nil) (calc-redo-list nil))
1576             (calc-pop-stack 1 n t)
1577             (calc-push-list (list (car entry)) n (list (nth 2 entry)))))
1578          ((= n 0)
1579           (calc-refresh))
1580          (t
1581           (let ((entries (calc-top-list n 1 'entry))
1582                 (calc-undo-list nil) (calc-redo-list nil))
1583             (calc-pop-stack n 1 t)
1584             (calc-push-list (mapcar 'car entries)
1585                             1
1586                             (mapcar (function (lambda (x) (nth 2 x)))
1587                                     entries)))))))
1588
1589 (defvar calc-refreshing-evaltos nil)
1590 (defvar calc-no-refresh-evaltos nil)
1591 (defun calc-refresh-evaltos (&optional which-var)
1592   (and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos)
1593        (let ((calc-refreshing-evaltos t)
1594              (num (calc-stack-size))
1595              (calc-undo-list nil) (calc-redo-list nil)
1596              value new-val)
1597          (while (> num 0)
1598            (setq value (calc-top num 'entry))
1599            (if (and (not (nth 2 value))
1600                     (setq value (car value))
1601                     (or (eq (car-safe value) 'calcFunc-evalto)
1602                         (and (eq (car-safe value) 'vec)
1603                              (eq (car-safe (nth 1 value)) 'calcFunc-evalto))))
1604                (progn
1605                  (setq new-val (math-normalize value))
1606                  (or (equal new-val value)
1607                      (progn
1608                        (calc-push-list (list new-val) num)
1609                        (calc-pop-stack 1 (1+ num) t)))))
1610            (setq num (1- num)))))
1611   (and calc-embedded-active which-var
1612        (calc-embedded-var-change which-var)))
1613
1614 (defun calc-push (&rest vals)
1615   (calc-push-list vals))
1616
1617 (defun calc-pop-push (n &rest vals)
1618   (calc-pop-push-list n vals))
1619
1620 (defun calc-pop-push-record (n prefix &rest vals)
1621   (calc-pop-push-record-list n prefix vals))
1622
1623
1624 (defun calc-evaluate (n)
1625   (interactive "p")
1626   (calc-slow-wrapper
1627    (if (= n 0)
1628        (setq n (calc-stack-size)))
1629    (calc-with-default-simplification
1630     (if (< n 0)
1631         (calc-pop-push-record-list 1 "eval"
1632                                    (math-evaluate-expr (calc-top (- n)))
1633                                    (- n))
1634       (calc-pop-push-record-list n "eval" (mapcar 'math-evaluate-expr
1635                                                   (calc-top-list n)))))
1636    (calc-handle-whys)))
1637
1638
1639 (defun calc-eval-num (n)
1640   (interactive "P")
1641   (calc-slow-wrapper
1642    (let* ((nn (prefix-numeric-value n))
1643           (calc-internal-prec (cond ((>= nn 3) nn)
1644                                     ((< nn 0) (max (+ calc-internal-prec nn)
1645                                                    3))
1646                                     (t calc-internal-prec)))
1647           (calc-symbolic-mode nil))
1648      (calc-with-default-simplification
1649       (calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1)))))
1650    (calc-handle-whys)))
1651
1652
1653 (defvar calc-extended-command-history nil
1654   "The history list for calc-execute-extended-command.")
1655
1656 (defun calc-execute-extended-command (n)
1657   (interactive "P")
1658   (let* ((prompt (concat (calc-num-prefix-name n) "M-x "))
1659          (cmd (intern
1660                (completing-read prompt obarray 'commandp t "calc-"
1661                                 'calc-extended-command-history))))
1662     (setq prefix-arg n)
1663     (command-execute cmd)))
1664
1665
1666 (defun calc-realign (&optional num)
1667   (interactive "P")
1668   (if (and num (eq major-mode 'calc-mode))
1669       (progn
1670         (calc-check-stack num)
1671         (calc-cursor-stack-index num)
1672         (and calc-line-numbering
1673              (forward-char 4)))
1674     (if (and calc-embedded-info
1675              (eq (current-buffer) (aref calc-embedded-info 0)))
1676         (progn
1677           (goto-char (aref calc-embedded-info 2))
1678           (if (save-excursion (set-buffer (aref calc-embedded-info 1))
1679                               calc-show-plain)
1680               (forward-line 1)))
1681       (calc-wrapper
1682        (if (get-buffer-window (current-buffer))
1683            (set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
1684
1685 (defvar math-cache-list nil)
1686
1687 (defun calc-var-value (v)
1688   (and (symbolp v)
1689        (boundp v)
1690        (symbol-value v)
1691        (if (symbolp (symbol-value v))
1692            (set v (funcall (symbol-value v)))
1693          (if (stringp (symbol-value v))
1694              (let ((val (math-read-expr (symbol-value v))))
1695                (if (eq (car-safe val) 'error)
1696                    (error "Bad format in variable contents: %s" (nth 2 val))
1697                  (set v val)))
1698            (symbol-value v)))))
1699
1700 ;;; In the following table, ( OP LOPS ROPS ) means that if an OP
1701 ;;; term appears as the first argument to any LOPS term, or as the
1702 ;;; second argument to any ROPS term, then they should be treated
1703 ;;; as one large term for purposes of associative selection.
1704 (defconst calc-assoc-ops '( ( + ( + - ) ( + ) )
1705                             ( - ( + - ) ( + ) )
1706                             ( * ( * )   ( * ) )
1707                             ( / ( / )   (   ) )
1708                             ( | ( | )   ( | ) )
1709                             ( calcFunc-land ( calcFunc-land )
1710                                             ( calcFunc-land ) )
1711                             ( calcFunc-lor ( calcFunc-lor )
1712                                            ( calcFunc-lor ) ) ))
1713
1714
1715 (defvar var-CommuteRules 'calc-CommuteRules)
1716 (defvar var-JumpRules    'calc-JumpRules)
1717 (defvar var-DistribRules 'calc-DistribRules)
1718 (defvar var-MergeRules   'calc-MergeRules)
1719 (defvar var-NegateRules  'calc-NegateRules)
1720 (defvar var-InvertRules  'calc-InvertRules)
1721
1722
1723 (defconst calc-tweak-eqn-table '( ( calcFunc-eq  calcFunc-eq  calcFunc-neq )
1724                                   ( calcFunc-neq calcFunc-neq calcFunc-eq  )
1725                                   ( calcFunc-lt  calcFunc-gt  calcFunc-geq )
1726                                   ( calcFunc-gt  calcFunc-lt  calcFunc-leq )
1727                                   ( calcFunc-leq calcFunc-geq calcFunc-gt  )
1728                                   ( calcFunc-geq calcFunc-leq calcFunc-lt  ) ))
1729
1730
1731
1732
1733 (defun calc-float (arg)
1734   (interactive "P")
1735   (calc-slow-wrapper
1736    (calc-unary-op "flt"
1737                   (if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat)
1738                   arg)))
1739
1740
1741 (defvar calc-gnuplot-process nil)
1742 (defvar calc-gnuplot-input)
1743 (defvar calc-gnuplot-buffer)
1744
1745 (defun calc-gnuplot-alive ()
1746   (and calc-gnuplot-process
1747        calc-gnuplot-buffer
1748        (buffer-name calc-gnuplot-buffer)
1749        calc-gnuplot-input
1750        (buffer-name calc-gnuplot-input)
1751        (memq (process-status calc-gnuplot-process) '(run stop))))
1752
1753
1754
1755
1756
1757 (defun calc-load-everything ()
1758   (interactive)
1759   (require 'calc-aent)
1760   (require 'calc-alg)
1761   (require 'calc-arith)
1762   (require 'calc-bin)
1763   (require 'calc-comb)
1764   (require 'calc-cplx)
1765   (require 'calc-embed)
1766   (require 'calc-fin)
1767   (require 'calc-forms)
1768   (require 'calc-frac)
1769   (require 'calc-funcs)
1770   (require 'calc-graph)
1771   (require 'calc-help)
1772   (require 'calc-incom)
1773   (require 'calc-keypd)
1774   (require 'calc-lang)
1775   (require 'calc-macs)
1776   (require 'calc-map)
1777   (require 'calc-math)
1778   (require 'calc-misc)
1779   (require 'calc-mode)
1780   (require 'calc-mtx)
1781   (require 'calc-poly)
1782   (require 'calc-prog)
1783   (require 'calc-rewr)
1784   (require 'calc-rules)
1785   (require 'calc-sel)
1786   (require 'calc-stat)
1787   (require 'calc-store)
1788   (require 'calc-stuff)
1789   (require 'calc-trail)
1790   (require 'calc-undo)
1791   (require 'calc-units)
1792   (require 'calc-vec)
1793   (require 'calc-yank)
1794   (require 'calcalg2)
1795   (require 'calcalg3)
1796   (require 'calccomp)
1797   (require 'calcsel2)
1798
1799   (message "All parts of Calc are now loaded"))
1800
1801
1802 ;;; Vector commands.
1803
1804 (defun calc-concat (arg)
1805   (interactive "P")
1806   (calc-wrapper
1807    (if (calc-is-inverse)
1808        (if (calc-is-hyperbolic)
1809            (calc-enter-result 2 "apnd" (list 'calcFunc-append
1810                                           (calc-top 1) (calc-top 2)))
1811          (calc-enter-result 2 "|" (list 'calcFunc-vconcat
1812                                         (calc-top 1) (calc-top 2))))
1813      (if (calc-is-hyperbolic)
1814          (calc-binary-op "apnd" 'calcFunc-append arg '(vec))
1815        (calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|)))))
1816
1817 (defun calc-append (arg)
1818   (interactive "P")
1819   (calc-hyperbolic-func)
1820   (calc-concat arg))
1821
1822
1823 (defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB )
1824                              ( var ArgC var-ArgC ) ( var ArgD var-ArgD )
1825                              ( var ArgE var-ArgE ) ( var ArgF var-ArgF )
1826                              ( var ArgG var-ArgG ) ( var ArgH var-ArgH )
1827                              ( var ArgI var-ArgI ) ( var ArgJ var-ArgJ )
1828 ))
1829
1830 (defun calc-invent-args (n)
1831   (nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values))))
1832
1833
1834
1835
1836 ;;; User menu.
1837
1838 (defun calc-user-key-map ()
1839   (if (featurep 'xemacs)
1840       (error "User-defined keys are not supported in XEmacs"))
1841   (let ((res (cdr (lookup-key calc-mode-map "z"))))
1842     (if (eq (car (car res)) 27)
1843         (cdr res)
1844       res)))
1845
1846 (defvar calc-z-prefix-buf nil)
1847 (defvar calc-z-prefix-msgs nil)
1848
1849 (defun calc-z-prefix-help ()
1850   (interactive)
1851   (let* ((calc-z-prefix-msgs nil)
1852          (calc-z-prefix-buf "")
1853          (kmap (sort (copy-sequence (calc-user-key-map))
1854                      (function (lambda (x y) (< (car x) (car y))))))
1855          (flags (apply 'logior
1856                        (mapcar (function
1857                                 (lambda (k)
1858                                   (calc-user-function-classify (car k))))
1859                                kmap))))
1860     (if (= (logand flags 8) 0)
1861         (calc-user-function-list kmap 7)
1862       (calc-user-function-list kmap 1)
1863       (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)
1864             calc-z-prefix-buf "")
1865       (calc-user-function-list kmap 6))
1866     (if (/= flags 0)
1867         (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)))
1868     (calc-do-prefix-help (nreverse calc-z-prefix-msgs) "user" ?z)))
1869
1870 (defun calc-user-function-classify (key)
1871   (cond ((/= key (downcase key))    ; upper-case
1872          (if (assq (downcase key) (calc-user-key-map)) 9 1))
1873         ((/= key (upcase key)) 2)   ; lower-case
1874         ((= key ??) 0)
1875         (t 4)))   ; other
1876
1877 (defun calc-user-function-list (map flags)
1878   (and map
1879        (let* ((key (car (car map)))
1880               (kind (calc-user-function-classify key))
1881               (func (cdr (car map))))
1882          (if (or (= (logand kind flags) 0)
1883                  (not (symbolp func)))
1884              ()
1885            (let* ((name (symbol-name func))
1886                   (name (if (string-match "\\`calc-" name)
1887                             (substring name 5) name))
1888                   (pos (string-match (char-to-string key) name))
1889                   (desc
1890                    (if (symbolp func)
1891                        (if (= (logand kind 3) 0)
1892                            (format "`%c' = %s" key name)
1893                          (if pos
1894                              (format "%s%c%s"
1895                                      (downcase (substring name 0 pos))
1896                                      (upcase key)
1897                                      (downcase (substring name (1+ pos))))
1898                            (format "%c = %s"
1899                                    (upcase key)
1900                                    (downcase name))))
1901                      (char-to-string (upcase key)))))
1902              (if (= (length calc-z-prefix-buf) 0)
1903                  (setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1904                                    desc))
1905                (if (> (+ (length calc-z-prefix-buf) (length desc)) 58)
1906                    (setq calc-z-prefix-msgs
1907                          (cons calc-z-prefix-buf calc-z-prefix-msgs)
1908                          calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1909                                      desc))
1910                  (setq calc-z-prefix-buf (concat calc-z-prefix-buf ", " desc))))))
1911          (calc-user-function-list (cdr map) flags))))
1912
1913
1914
1915 (defun calc-shift-Z-prefix-help ()
1916   (interactive)
1917   (calc-do-prefix-help
1918    '("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn"
1919      "Composition, Syntax; Invocation; Permanent; Timing"
1920      "kbd-macros: [ (if), : (else), | (else-if), ] (end-if)"
1921      "kbd-macros: < > (repeat), ( ) (for), { } (loop)"
1922      "kbd-macros: / (break)"
1923      "kbd-macros: ` (save), ' (restore)")
1924    "user" ?Z))
1925
1926
1927 ;;;; Caches.
1928
1929 (defmacro math-defcache (name init form)
1930   (let ((cache-prec (intern (concat (symbol-name name) "-cache-prec")))
1931         (cache-val (intern (concat (symbol-name name) "-cache")))
1932         (last-prec (intern (concat (symbol-name name) "-last-prec")))
1933         (last-val (intern (concat (symbol-name name) "-last"))))
1934     (list 'progn
1935 ;         (list 'defvar cache-prec (if init (math-numdigs (nth 1 init)) -100))
1936           (list 'defvar cache-prec
1937                 `(cond
1938                   ((consp ,init) (math-numdigs (nth 1 ,init)))
1939                   (,init
1940                    (nth 1 (math-numdigs (eval ,init))))
1941                   (t
1942                    -100)))
1943           (list 'defvar cache-val
1944                 `(cond
1945                   ((consp ,init) ,init)
1946                   (,init (eval ,init))
1947                   (t ,init)))
1948           (list 'defvar last-prec -100)
1949           (list 'defvar last-val nil)
1950           (list 'setq 'math-cache-list
1951                 (list 'cons
1952                       (list 'quote cache-prec)
1953                       (list 'cons
1954                             (list 'quote last-prec)
1955                             'math-cache-list)))
1956           (list 'defun
1957                 name ()
1958                 (list 'or
1959                       (list '= last-prec 'calc-internal-prec)
1960                       (list 'setq
1961                             last-val
1962                             (list 'math-normalize
1963                                   (list 'progn
1964                                         (list 'or
1965                                               (list '>= cache-prec
1966                                                     'calc-internal-prec)
1967                                               (list 'setq
1968                                                     cache-val
1969                                                     (list 'let
1970                                                           '((calc-internal-prec
1971                                                              (+ calc-internal-prec
1972                                                                 4)))
1973                                                           form)
1974                                                     cache-prec
1975                                                     '(+ calc-internal-prec 2)))
1976                                         cache-val))
1977                             last-prec 'calc-internal-prec))
1978                 last-val))))
1979 (put 'math-defcache 'lisp-indent-hook 2)
1980
1981 ;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239).   [F] [Public]
1982 (defconst math-approx-pi
1983   (math-read-number-simple "3.141592653589793238463")
1984   "An approximation for pi.")
1985
1986 (math-defcache math-pi math-approx-pi
1987   (math-add-float (math-mul-float '(float 16 0)
1988                                   (math-arctan-raw '(float 2 -1)))
1989                   (math-mul-float '(float -4 0)
1990                                   (math-arctan-raw
1991                                    (math-float '(frac 1 239))))))
1992
1993 (math-defcache math-two-pi nil
1994   (math-mul-float (math-pi) '(float 2 0)))
1995
1996 (math-defcache math-pi-over-2 nil
1997   (math-mul-float (math-pi) '(float 5 -1)))
1998
1999 (math-defcache math-pi-over-4 nil
2000   (math-mul-float (math-pi) '(float 25 -2)))
2001
2002 (math-defcache math-pi-over-180 nil
2003   (math-div-float (math-pi) '(float 18 1)))
2004
2005 (math-defcache math-sqrt-pi nil
2006   (math-sqrt-float (math-pi)))
2007
2008 (math-defcache math-sqrt-2 nil
2009   (math-sqrt-float '(float 2 0)))
2010
2011 (math-defcache math-sqrt-12 nil
2012   (math-sqrt-float '(float 12 0)))
2013
2014 (math-defcache math-sqrt-two-pi nil
2015   (math-sqrt-float (math-two-pi)))
2016
2017 (defconst math-approx-sqrt-e
2018   (math-read-number-simple "1.648721270700128146849")
2019   "An approximation for sqrt(3).")
2020
2021 (math-defcache math-sqrt-e math-approx-sqrt-e
2022   (math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
2023
2024 (math-defcache math-e nil
2025   (math-pow (math-sqrt-e) 2))
2026
2027 (math-defcache math-phi nil
2028   (math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
2029                   '(float 5 -1)))
2030
2031 (defconst math-approx-gamma-const
2032   (math-read-number-simple
2033    "0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495")
2034   "An approximation for gamma.")
2035
2036 (math-defcache math-gamma-const nil
2037   math-approx-gamma-const)
2038
2039 (defun math-half-circle (symb)
2040   (if (eq calc-angle-mode 'rad)
2041       (if symb
2042           '(var pi var-pi)
2043         (math-pi))
2044     180))
2045
2046 (defun math-full-circle (symb)
2047   (math-mul 2 (math-half-circle symb)))
2048
2049 (defun math-quarter-circle (symb)
2050   (math-div (math-half-circle symb) 2))
2051
2052 (defvar math-expand-formulas nil)
2053
2054 ;;;; Miscellaneous math routines.
2055
2056 ;;; True if A is an odd integer.  [P R R] [Public]
2057 (defun math-oddp (a)
2058   (if (consp a)
2059       (and (memq (car a) '(bigpos bigneg))
2060            (= (% (nth 1 a) 2) 1))
2061     (/= (% a 2) 0)))
2062
2063 ;;; True if A is a small or big integer.  [P x] [Public]
2064 (defun math-integerp (a)
2065   (or (integerp a)
2066       (memq (car-safe a) '(bigpos bigneg))))
2067
2068 ;;; True if A is (numerically) a non-negative integer.  [P N] [Public]
2069 (defun math-natnump (a)
2070   (or (natnump a)
2071       (eq (car-safe a) 'bigpos)))
2072
2073 ;;; True if A is a rational (or integer).  [P x] [Public]
2074 (defun math-ratp (a)
2075   (or (integerp a)
2076       (memq (car-safe a) '(bigpos bigneg frac))))
2077
2078 ;;; True if A is a real (or rational).  [P x] [Public]
2079 (defun math-realp (a)
2080   (or (integerp a)
2081       (memq (car-safe a) '(bigpos bigneg frac float))))
2082
2083 ;;; True if A is a real or HMS form.  [P x] [Public]
2084 (defun math-anglep (a)
2085   (or (integerp a)
2086       (memq (car-safe a) '(bigpos bigneg frac float hms))))
2087
2088 ;;; True if A is a number of any kind.  [P x] [Public]
2089 (defun math-numberp (a)
2090   (or (integerp a)
2091       (memq (car-safe a) '(bigpos bigneg frac float cplx polar))))
2092
2093 ;;; True if A is a complex number or angle.  [P x] [Public]
2094 (defun math-scalarp (a)
2095   (or (integerp a)
2096       (memq (car-safe a) '(bigpos bigneg frac float cplx polar hms))))
2097
2098 ;;; True if A is a vector.  [P x] [Public]
2099 (defun math-vectorp (a)
2100   (eq (car-safe a) 'vec))
2101
2102 ;;; True if A is any vector or scalar data object.  [P x]
2103 (defun math-objvecp (a)    ;  [Public]
2104   (or (integerp a)
2105       (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2106                                   hms date sdev intv mod vec incomplete))))
2107
2108 ;;; True if A is an object not composed of sub-formulas .  [P x] [Public]
2109 (defun math-primp (a)
2110   (or (integerp a)
2111       (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2112                                   hms date mod var))))
2113
2114 ;;; True if A is numerically (but not literally) an integer.  [P x] [Public]
2115 (defun math-messy-integerp (a)
2116   (cond
2117    ((eq (car-safe a) 'float) (>= (nth 2 a) 0))
2118    ((eq (car-safe a) 'frac) (Math-integerp (math-normalize a)))))
2119
2120 ;;; True if A is numerically an integer.  [P x] [Public]
2121 (defun math-num-integerp (a)
2122   (or (Math-integerp a)
2123       (Math-messy-integerp a)))
2124
2125 ;;; True if A is (numerically) a non-negative integer.  [P N] [Public]
2126 (defun math-num-natnump (a)
2127   (or (natnump a)
2128       (eq (car-safe a) 'bigpos)
2129       (and (eq (car-safe a) 'float)
2130            (Math-natnump (nth 1 a))
2131            (>= (nth 2 a) 0))))
2132
2133 ;;; True if A is an integer or will evaluate to an integer.  [P x] [Public]
2134 (defun math-provably-integerp (a)
2135   (or (Math-integerp a)
2136       (and (memq (car-safe a) '(calcFunc-trunc
2137                                 calcFunc-round
2138                                 calcFunc-rounde
2139                                 calcFunc-roundu
2140                                 calcFunc-floor
2141                                 calcFunc-ceil))
2142            (= (length a) 2))))
2143
2144 ;;; True if A is a real or will evaluate to a real.  [P x] [Public]
2145 (defun math-provably-realp (a)
2146   (or (Math-realp a)
2147       (math-provably-integerp a)
2148       (memq (car-safe a) '(abs arg))))
2149
2150 ;;; True if A is a non-real, complex number.  [P x] [Public]
2151 (defun math-complexp (a)
2152   (memq (car-safe a) '(cplx polar)))
2153
2154 ;;; True if A is a non-real, rectangular complex number.  [P x] [Public]
2155 (defun math-rect-complexp (a)
2156   (eq (car-safe a) 'cplx))
2157
2158 ;;; True if A is a non-real, polar complex number.  [P x] [Public]
2159 (defun math-polar-complexp (a)
2160   (eq (car-safe a) 'polar))
2161
2162 ;;; True if A is a matrix.  [P x] [Public]
2163 (defun math-matrixp (a)
2164   (and (Math-vectorp a)
2165        (Math-vectorp (nth 1 a))
2166        (cdr (nth 1 a))
2167        (let ((len (length (nth 1 a))))
2168          (setq a (cdr a))
2169          (while (and (setq a (cdr a))
2170                      (Math-vectorp (car a))
2171                      (= (length (car a)) len)))
2172          (null a))))
2173
2174 (defun math-matrixp-step (a len)   ; [P L]
2175   (or (null a)
2176       (and (Math-vectorp (car a))
2177            (= (length (car a)) len)
2178            (math-matrixp-step (cdr a) len))))
2179
2180 ;;; True if A is a square matrix.  [P V] [Public]
2181 (defun math-square-matrixp (a)
2182   (let ((dims (math-mat-dimens a)))
2183     (and (cdr dims)
2184          (= (car dims) (nth 1 dims)))))
2185
2186 ;;; True if MAT is an identity matrix.
2187 (defun math-identity-matrix-p (mat &optional mul)
2188   (if (math-square-matrixp mat)
2189       (let ((a (if mul
2190                    (nth 1 (nth 1 mat))
2191                  1))
2192             (n (1- (length mat)))
2193             (i 1))
2194         (while (and (<= i n)
2195                     (math-ident-row-p (nth i mat) i a))
2196           (setq i (1+ i)))
2197         (if (> i n)
2198             a
2199           nil))))
2200
2201 (defun math-ident-row-p (row n &optional a)
2202   (unless a
2203     (setq a 1))
2204   (and
2205    (not (memq nil (mapcar
2206                    (lambda (x) (eq x 0))
2207                    (nthcdr (1+ n) row))))
2208    (not (memq nil (mapcar
2209                    (lambda (x) (eq x 0))
2210                    (butlast
2211                     (cdr row)
2212                     (- (length row) n)))))
2213    (eq (elt row n) a)))
2214
2215 ;;; True if A is any scalar data object.  [P x]
2216 (defun math-objectp (a)    ;  [Public]
2217   (or (integerp a)
2218       (memq (car-safe a) '(bigpos bigneg frac float cplx
2219                                   polar hms date sdev intv mod))))
2220
2221 ;;; Verify that A is an integer and return A in integer form.  [I N; - x]
2222 (defun math-check-integer (a)   ;  [Public]
2223   (cond ((integerp a) a)  ; for speed
2224         ((math-integerp a) a)
2225         ((math-messy-integerp a)
2226          (math-trunc a))
2227         (t (math-reject-arg a 'integerp))))
2228
2229 ;;; Verify that A is a small integer and return A in integer form.  [S N; - x]
2230 (defun math-check-fixnum (a &optional allow-inf)   ;  [Public]
2231   (cond ((integerp a) a)  ; for speed
2232         ((Math-num-integerp a)
2233          (let ((a (math-trunc a)))
2234            (if (integerp a)
2235                a
2236              (if (or (Math-lessp (lsh -1 -1) a)
2237                      (Math-lessp a (- (lsh -1 -1))))
2238                  (math-reject-arg a 'fixnump)
2239                (math-fixnum a)))))
2240         ((and allow-inf (equal a '(var inf var-inf)))
2241          (lsh -1 -1))
2242         ((and allow-inf (equal a '(neg (var inf var-inf))))
2243          (- (lsh -1 -1)))
2244         (t (math-reject-arg a 'fixnump))))
2245
2246 ;;; Verify that A is an integer >= 0 and return A in integer form.  [I N; - x]
2247 (defun math-check-natnum (a)    ;  [Public]
2248   (cond ((natnump a) a)
2249         ((and (not (math-negp a))
2250               (Math-num-integerp a))
2251          (math-trunc a))
2252         (t (math-reject-arg a 'natnump))))
2253
2254 ;;; Verify that A is in floating-point form, or force it to be a float.  [F N]
2255 (defun math-check-float (a)    ; [Public]
2256   (cond ((eq (car-safe a) 'float) a)
2257         ((Math-vectorp a) (math-map-vec 'math-check-float a))
2258         ((Math-objectp a) (math-float a))
2259         (t a)))
2260
2261 ;;; Verify that A is a constant.
2262 (defun math-check-const (a &optional exp-ok)
2263   (if (or (math-constp a)
2264           (and exp-ok math-expand-formulas))
2265       a
2266     (math-reject-arg a 'constp)))
2267
2268 ;;; Some functions for working with error forms.
2269 (defun math-get-value (x)
2270   "Get the mean value of the error form X.
2271 If X is not an error form, return X."
2272   (if (eq (car-safe x) 'sdev)
2273       (nth 1 x)
2274     x))
2275
2276 (defun math-get-sdev (x &optional one)
2277   "Get the standard deviation of the error form X.
2278 If X is not an error form, return 1."
2279   (if (eq (car-safe x) 'sdev)
2280       (nth 2 x)
2281     (if one 1 0)))
2282
2283 (defun math-contains-sdev-p (ls)
2284   "Non-nil if the list LS contains an error form."
2285   (let ((ls (if (eq (car-safe ls) 'vec) (cdr ls) ls)))
2286     (memq t (mapcar (lambda (x) (eq (car-safe x) 'sdev)) ls))))
2287
2288 ;;; Coerce integer A to be a small integer.  [S I]
2289 (defun math-fixnum (a)
2290   (if (consp a)
2291       (if (cdr a)
2292           (if (eq (car a) 'bigneg)
2293               (- (math-fixnum-big (cdr a)))
2294             (math-fixnum-big (cdr a)))
2295         0)
2296     a))
2297
2298 (defun math-fixnum-big (a)
2299   (if (cdr a)
2300       (+ (car a) (* (math-fixnum-big (cdr a)) math-bignum-digit-size))
2301     (car a)))
2302
2303 (defvar math-simplify-only nil)
2304
2305 (defun math-normalize-fancy (a)
2306   (cond ((eq (car a) 'frac)
2307          (math-make-frac (math-normalize (nth 1 a))
2308                          (math-normalize (nth 2 a))))
2309         ((eq (car a) 'cplx)
2310          (let ((real (math-normalize (nth 1 a)))
2311                (imag (math-normalize (nth 2 a))))
2312            (if (and (math-zerop imag)
2313                     (not math-simplify-only))   ; oh, what a kludge!
2314                real
2315              (list 'cplx real imag))))
2316         ((eq (car a) 'polar)
2317          (math-normalize-polar a))
2318         ((eq (car a) 'hms)
2319          (math-normalize-hms a))
2320         ((eq (car a) 'date)
2321          (list 'date (math-normalize (nth 1 a))))
2322         ((eq (car a) 'mod)
2323          (math-normalize-mod a))
2324         ((eq (car a) 'sdev)
2325          (let ((x (math-normalize (nth 1 a)))
2326                (s (math-normalize (nth 2 a))))
2327            (if (or (and (Math-objectp x) (not (Math-scalarp x)))
2328                    (and (Math-objectp s) (not (Math-scalarp s))))
2329                (list 'calcFunc-sdev x s)
2330              (math-make-sdev x s))))
2331         ((eq (car a) 'intv)
2332          (let ((mask (math-normalize (nth 1 a)))
2333                (lo (math-normalize (nth 2 a)))
2334                (hi (math-normalize (nth 3 a))))
2335            (if (if (eq (car-safe lo) 'date)
2336                    (not (eq (car-safe hi) 'date))
2337                  (or (and (Math-objectp lo) (not (Math-anglep lo)))
2338                      (and (Math-objectp hi) (not (Math-anglep hi)))))
2339                (list 'calcFunc-intv mask lo hi)
2340              (math-make-intv mask lo hi))))
2341         ((eq (car a) 'vec)
2342          (cons 'vec (mapcar 'math-normalize (cdr a))))
2343         ((eq (car a) 'quote)
2344          (math-normalize (nth 1 a)))
2345         ((eq (car a) 'special-const)
2346          (calc-with-default-simplification
2347           (math-normalize (nth 1 a))))
2348         ((eq (car a) 'var)
2349          (cons 'var (cdr a)))   ; need to re-cons for selection routines
2350         ((eq (car a) 'calcFunc-if)
2351          (math-normalize-logical-op a))
2352         ((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition))
2353          (let ((calc-simplify-mode 'none))
2354            (cons (car a) (mapcar 'math-normalize (cdr a)))))
2355         ((eq (car a) 'calcFunc-evalto)
2356          (setq a (or (nth 1 a) 0))
2357          (or calc-refreshing-evaltos
2358              (setq a (let ((calc-simplify-mode 'none)) (math-normalize a))))
2359          (let ((b (if (and (eq (car-safe a) 'calcFunc-assign)
2360                            (= (length a) 3))
2361                       (nth 2 a)
2362                     a)))
2363            (list 'calcFunc-evalto
2364                  a
2365                  (if (eq calc-simplify-mode 'none)
2366                      (math-normalize b)
2367                    (calc-with-default-simplification
2368                     (math-evaluate-expr b))))))
2369         ((or (integerp (car a)) (consp (car a)))
2370          (if (null (cdr a))
2371              (math-normalize (car a))
2372            (error "Can't use multi-valued function in an expression")))))
2373
2374 ;; The variable math-normalize-a is local to math-normalize in calc.el,
2375 ;; but is used by math-normalize-nonstandard, which is called by
2376 ;; math-normalize.
2377 (defvar math-normalize-a)
2378
2379 (defun math-normalize-nonstandard ()
2380   (if (consp calc-simplify-mode)
2381       (progn
2382         (setq calc-simplify-mode 'none
2383               math-simplify-only (car-safe (cdr-safe math-normalize-a)))
2384         nil)
2385     (and (symbolp (car math-normalize-a))
2386          (or (eq calc-simplify-mode 'none)
2387              (and (eq calc-simplify-mode 'num)
2388                   (let ((aptr (setq math-normalize-a
2389                                     (cons
2390                                      (car math-normalize-a)
2391                                      (mapcar 'math-normalize
2392                                              (cdr math-normalize-a))))))
2393                     (while (and aptr (math-constp (car aptr)))
2394                       (setq aptr (cdr aptr)))
2395                     aptr)))
2396          (cons (car math-normalize-a)
2397                (mapcar 'math-normalize (cdr math-normalize-a))))))
2398
2399
2400 ;;; Normalize a bignum digit list by trimming high-end zeros.  [L l]
2401 (defun math-norm-bignum (a)
2402   (let ((digs a) (last nil))
2403     (while digs
2404       (or (eq (car digs) 0) (setq last digs))
2405       (setq digs (cdr digs)))
2406     (and last
2407          (progn
2408            (setcdr last nil)
2409            a))))
2410
2411 (defun math-bignum-test (a)   ; [B N; B s; b b]
2412   (if (consp a)
2413       a
2414     (math-bignum a)))
2415
2416
2417 ;;; Return 0 for zero, -1 for negative, 1 for positive.  [S n] [Public]
2418 (defun calcFunc-sign (a &optional x)
2419   (let ((signs (math-possible-signs a)))
2420     (cond ((eq signs 4) (or x 1))
2421           ((eq signs 2) 0)
2422           ((eq signs 1) (if x (math-neg x) -1))
2423           ((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a))))
2424           (t (calc-record-why 'realp a)
2425              (if x
2426                  (list 'calcFunc-sign a x)
2427                (list 'calcFunc-sign a))))))
2428
2429 ;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more.
2430 ;;; Arguments must be normalized!  [S N N]
2431 (defun math-compare (a b)
2432   (cond ((equal a b)
2433          (if (and (consp a)
2434                   (memq (car a) '(var neg * /))
2435                   (math-infinitep a))
2436              2
2437            0))
2438         ((and (integerp a) (Math-integerp b))
2439          (if (consp b)
2440              (if (eq (car b) 'bigpos) -1 1)
2441            (if (< a b) -1 1)))
2442         ((and (eq (car-safe a) 'bigpos) (Math-integerp b))
2443          (if (eq (car-safe b) 'bigpos)
2444              (math-compare-bignum (cdr a) (cdr b))
2445            1))
2446         ((and (eq (car-safe a) 'bigneg) (Math-integerp b))
2447          (if (eq (car-safe b) 'bigneg)
2448              (math-compare-bignum (cdr b) (cdr a))
2449            -1))
2450         ((eq (car-safe a) 'frac)
2451          (if (eq (car-safe b) 'frac)
2452              (math-compare (math-mul (nth 1 a) (nth 2 b))
2453                            (math-mul (nth 1 b) (nth 2 a)))
2454            (math-compare (nth 1 a) (math-mul b (nth 2 a)))))
2455         ((eq (car-safe b) 'frac)
2456          (math-compare (math-mul a (nth 2 b)) (nth 1 b)))
2457         ((and (eq (car-safe a) 'float) (eq (car-safe b) 'float))
2458          (if (math-lessp-float a b) -1 1))
2459         ((and (eq (car-safe a) 'date) (eq (car-safe b) 'date))
2460          (math-compare (nth 1 a) (nth 1 b)))
2461         ((and (or (Math-anglep a)
2462                   (and (eq (car a) 'cplx) (eq (nth 2 a) 0)))
2463               (or (Math-anglep b)
2464                   (and (eq (car b) 'cplx) (eq (nth 2 b) 0))))
2465          (calcFunc-sign (math-add a (math-neg b))))
2466         ((and (eq (car-safe a) 'intv)
2467               (or (Math-anglep b) (eq (car-safe b) 'date)))
2468          (let ((res (math-compare (nth 2 a) b)))
2469            (cond ((eq res 1) 1)
2470                  ((and (eq res 0) (memq (nth 1 a) '(0 1))) 1)
2471                  ((eq (setq res (math-compare (nth 3 a) b)) -1) -1)
2472                  ((and (eq res 0) (memq (nth 1 a) '(0 2))) -1)
2473                  (t 2))))
2474         ((and (eq (car-safe b) 'intv)
2475               (or (Math-anglep a) (eq (car-safe a) 'date)))
2476          (let ((res (math-compare a (nth 2 b))))
2477            (cond ((eq res -1) -1)
2478                  ((and (eq res 0) (memq (nth 1 b) '(0 1))) -1)
2479                  ((eq (setq res (math-compare a (nth 3 b))) 1) 1)
2480                  ((and (eq res 0) (memq (nth 1 b) '(0 2))) 1)
2481                  (t 2))))
2482         ((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv))
2483          (let ((res (math-compare (nth 3 a) (nth 2 b))))
2484            (cond ((eq res -1) -1)
2485                  ((and (eq res 0) (or (memq (nth 1 a) '(0 2))
2486                                       (memq (nth 1 b) '(0 1)))) -1)
2487                  ((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1)
2488                  ((and (eq res 0) (or (memq (nth 1 a) '(0 1))
2489                                       (memq (nth 1 b) '(0 2)))) 1)
2490                  (t 2))))
2491         ((math-infinitep a)
2492          (if (or (equal a '(var uinf var-uinf))
2493                  (equal a '(var nan var-nan)))
2494              2
2495            (let ((dira (math-infinite-dir a)))
2496              (if (math-infinitep b)
2497                  (if (or (equal b '(var uinf var-uinf))
2498                          (equal b '(var nan var-nan)))
2499                      2
2500                    (let ((dirb (math-infinite-dir b)))
2501                      (cond ((and (eq dira 1) (eq dirb -1)) 1)
2502                            ((and (eq dira -1) (eq dirb 1)) -1)
2503                            (t 2))))
2504                (cond ((eq dira 1) 1)
2505                      ((eq dira -1) -1)
2506                      (t 2))))))
2507         ((math-infinitep b)
2508          (if (or (equal b '(var uinf var-uinf))
2509                  (equal b '(var nan var-nan)))
2510              2
2511            (let ((dirb (math-infinite-dir b)))
2512              (cond ((eq dirb 1) -1)
2513                    ((eq dirb -1) 1)
2514                    (t 2)))))
2515         ((and (eq (car-safe a) 'calcFunc-exp)
2516               (eq (car-safe b) '^)
2517               (equal (nth 1 b) '(var e var-e)))
2518          (math-compare (nth 1 a) (nth 2 b)))
2519         ((and (eq (car-safe b) 'calcFunc-exp)
2520               (eq (car-safe a) '^)
2521               (equal (nth 1 a) '(var e var-e)))
2522          (math-compare (nth 2 a) (nth 1 b)))
2523         ((or (and (eq (car-safe a) 'calcFunc-sqrt)
2524                   (eq (car-safe b) '^)
2525                   (or (equal (nth 2 b) '(frac 1 2))
2526                       (equal (nth 2 b) '(float 5 -1))))
2527              (and (eq (car-safe b) 'calcFunc-sqrt)
2528                   (eq (car-safe a) '^)
2529                   (or (equal (nth 2 a) '(frac 1 2))
2530                       (equal (nth 2 a) '(float 5 -1)))))
2531          (math-compare (nth 1 a) (nth 1 b)))
2532         ((eq (car-safe a) 'var)
2533          2)
2534         (t
2535          (if (and (consp a) (consp b)
2536                   (eq (car a) (car b))
2537                   (math-compare-lists (cdr a) (cdr b)))
2538              0
2539            2))))
2540
2541 ;;; Compare two bignum digit lists, return -1 for A<B, 0 for A=B, 1 for A>B.
2542 (defun math-compare-bignum (a b)   ; [S l l]
2543   (let ((res 0))
2544     (while (and a b)
2545       (if (< (car a) (car b))
2546           (setq res -1)
2547         (if (> (car a) (car b))
2548             (setq res 1)))
2549       (setq a (cdr a)
2550             b (cdr b)))
2551     (if a
2552         (progn
2553           (while (eq (car a) 0) (setq a (cdr a)))
2554           (if a 1 res))
2555       (while (eq (car b) 0) (setq b (cdr b)))
2556       (if b -1 res))))
2557
2558 (defun math-compare-lists (a b)
2559   (cond ((null a) (null b))
2560         ((null b) nil)
2561         (t (and (Math-equal (car a) (car b))
2562                 (math-compare-lists (cdr a) (cdr b))))))
2563
2564 (defun math-lessp-float (a b)   ; [P F F]
2565   (let ((ediff (- (nth 2 a) (nth 2 b))))
2566     (if (>= ediff 0)
2567         (if (>= ediff (+ calc-internal-prec calc-internal-prec))
2568             (if (eq (nth 1 a) 0)
2569                 (Math-integer-posp (nth 1 b))
2570               (Math-integer-negp (nth 1 a)))
2571           (Math-lessp (math-scale-int (nth 1 a) ediff)
2572                       (nth 1 b)))
2573       (if (>= (setq ediff (- ediff))
2574               (+ calc-internal-prec calc-internal-prec))
2575           (if (eq (nth 1 b) 0)
2576               (Math-integer-negp (nth 1 a))
2577             (Math-integer-posp (nth 1 b)))
2578         (Math-lessp (nth 1 a)
2579                     (math-scale-int (nth 1 b) ediff))))))
2580
2581 ;;; True if A is numerically equal to B.  [P N N] [Public]
2582 (defun math-equal (a b)
2583   (= (math-compare a b) 0))
2584
2585 ;;; True if A is numerically less than B.  [P R R] [Public]
2586 (defun math-lessp (a b)
2587   (= (math-compare a b) -1))
2588
2589 ;;; True if A is numerically equal to the integer B.  [P N S] [Public]
2590 ;;; B must not be a multiple of 10.
2591 (defun math-equal-int (a b)
2592   (or (eq a b)
2593       (and (eq (car-safe a) 'float)
2594            (eq (nth 1 a) b)
2595            (= (nth 2 a) 0))))
2596
2597
2598
2599
2600 ;;; Return the dimensions of a matrix as a list.  [l x] [Public]
2601 (defun math-mat-dimens (m)
2602   (if (math-vectorp m)
2603       (if (math-matrixp m)
2604           (cons (1- (length m))
2605                 (math-mat-dimens (nth 1 m)))
2606         (list (1- (length m))))
2607     nil))
2608
2609
2610
2611 (defun calc-binary-op-fancy (name func arg ident unary)
2612   (let ((n (prefix-numeric-value arg)))
2613     (cond ((> n 1)
2614            (calc-enter-result n
2615                               name
2616                               (list 'calcFunc-reduce
2617                                     (math-calcFunc-to-var func)
2618                                     (cons 'vec (calc-top-list-n n)))))
2619           ((= n 1)
2620            (if unary
2621                (calc-enter-result 1 name (list unary (calc-top-n 1)))))
2622           ((= n 0)
2623            (if ident
2624                (calc-enter-result 0 name ident)
2625              (error "Argument must be nonzero")))
2626           (t
2627            (let ((rhs (calc-top-n 1)))
2628              (calc-enter-result (- 1 n)
2629                                 name
2630                                 (mapcar (function
2631                                          (lambda (x)
2632                                            (list func x rhs)))
2633                                         (calc-top-list-n (- n) 2))))))))
2634
2635 (defun calc-unary-op-fancy (name func arg)
2636   (let ((n (prefix-numeric-value arg)))
2637     (if (= n 0) (setq n (calc-stack-size)))
2638     (cond ((> n 0)
2639            (calc-enter-result n
2640                               name
2641                               (mapcar (function
2642                                        (lambda (x)
2643                                          (list func x)))
2644                                       (calc-top-list-n n))))
2645           ((< n 0)
2646            (calc-enter-result 1
2647                               name
2648                               (list func (calc-top-n (- n)))
2649                               (- n))))))
2650
2651 (defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun)))
2652 (defvar var-Decls (list 'vec))
2653
2654
2655 (defun math-inexact-result ()
2656   (and calc-symbolic-mode
2657        (signal 'inexact-result nil)))
2658
2659 (defun math-overflow (&optional exp)
2660   (if (and exp (math-negp exp))
2661       (math-underflow)
2662     (signal 'math-overflow nil)))
2663
2664 (defun math-underflow ()
2665   (signal 'math-underflow nil))
2666
2667 ;;; Compute the greatest common divisor of A and B.   [I I I] [Public]
2668 (defun math-gcd (a b)
2669   (cond ((not (or (consp a) (consp b)))
2670          (if (< a 0) (setq a (- a)))
2671          (if (< b 0) (setq b (- b)))
2672          (let (c)
2673            (if (< a b)
2674                (setq c b b a a c))
2675            (while (> b 0)
2676              (setq c b
2677                    b (% a b)
2678                    a c))
2679            a))
2680         ((eq a 0) b)
2681         ((eq b 0) a)
2682         (t
2683          (if (Math-integer-negp a) (setq a (math-neg a)))
2684          (if (Math-integer-negp b) (setq b (math-neg b)))
2685          (let (c)
2686            (if (Math-natnum-lessp a b)
2687                (setq c b b a a c))
2688            (while (and (consp a) (not (eq b 0)))
2689              (setq c b
2690                    b (math-imod a b)
2691                    a c))
2692            (while (> b 0)
2693              (setq c b
2694                    b (% a b)
2695                    a c))
2696            a))))
2697
2698
2699 ;;;; Algebra.
2700
2701 ;;; Evaluate variables in an expression.
2702 (defun math-evaluate-expr (x)  ; [Public]
2703   (if calc-embedded-info
2704       (calc-embedded-evaluate-expr x)
2705     (calc-normalize (math-evaluate-expr-rec x))))
2706
2707 (defalias 'calcFunc-evalv 'math-evaluate-expr)
2708
2709 (defun calcFunc-evalvn (x &optional prec)
2710   (if prec
2711       (progn
2712         (or (math-num-integerp prec)
2713             (if (and (math-vectorp prec)
2714                      (= (length prec) 2)
2715                      (math-num-integerp (nth 1 prec)))
2716                 (setq prec (math-add (nth 1 prec) calc-internal-prec))
2717               (math-reject-arg prec 'integerp)))
2718         (setq prec (math-trunc prec))
2719         (if (< prec 3) (setq prec 3))
2720         (if (> prec calc-internal-prec)
2721             (math-normalize
2722              (let ((calc-internal-prec prec))
2723                (calcFunc-evalvn x)))
2724           (let ((calc-internal-prec prec))
2725             (calcFunc-evalvn x))))
2726     (let ((calc-symbolic-mode nil))
2727       (math-evaluate-expr x))))
2728
2729 (defun math-evaluate-expr-rec (x)
2730   (if (consp x)
2731       (if (memq (car x) '(calcFunc-quote calcFunc-condition
2732                                          calcFunc-evalto calcFunc-assign))
2733           (if (and (eq (car x) 'calcFunc-assign)
2734                    (= (length x) 3))
2735               (list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x)))
2736             x)
2737         (if (eq (car x) 'var)
2738             (if (and (calc-var-value (nth 2 x))
2739                      (not (eq (car-safe (symbol-value (nth 2 x)))
2740                               'incomplete)))
2741                 (let ((val (symbol-value (nth 2 x))))
2742                   (if (eq (car-safe val) 'special-const)
2743                       (if calc-symbolic-mode
2744                           x
2745                         val)
2746                     val))
2747               x)
2748           (if (Math-primp x)
2749               x
2750             (cons (car x) (mapcar 'math-evaluate-expr-rec (cdr x))))))
2751     x))
2752
2753 (defun math-any-floats (expr)
2754   (if (Math-primp expr)
2755       (math-floatp expr)
2756     (while (and (setq expr (cdr expr)) (not (math-any-floats (car expr)))))
2757     expr))
2758
2759 (defvar var-FactorRules 'calc-FactorRules)
2760
2761 (defvar math-mt-many nil)
2762 (defvar math-mt-func nil)
2763
2764 (defun math-map-tree (math-mt-func mmt-expr &optional math-mt-many)
2765   (or math-mt-many (setq math-mt-many 1000000))
2766   (math-map-tree-rec mmt-expr))
2767
2768 (defun math-map-tree-rec (mmt-expr)
2769   (or (= math-mt-many 0)
2770       (let ((mmt-done nil)
2771             mmt-nextval)
2772         (while (not mmt-done)
2773           (while (and (/= math-mt-many 0)
2774                       (setq mmt-nextval (funcall math-mt-func mmt-expr))
2775                       (not (equal mmt-expr mmt-nextval)))
2776             (setq mmt-expr mmt-nextval
2777                   math-mt-many (if (> math-mt-many 0)
2778                                    (1- math-mt-many)
2779                                  (1+ math-mt-many))))
2780           (if (or (Math-primp mmt-expr)
2781                   (<= math-mt-many 0))
2782               (setq mmt-done t)
2783             (setq mmt-nextval (cons (car mmt-expr)
2784                                     (mapcar 'math-map-tree-rec
2785                                             (cdr mmt-expr))))
2786             (if (equal mmt-nextval mmt-expr)
2787                 (setq mmt-done t)
2788               (setq mmt-expr mmt-nextval))))))
2789   mmt-expr)
2790
2791 (defun math-is-true (expr)
2792   (if (Math-numberp expr)
2793       (not (Math-zerop expr))
2794     (math-known-nonzerop expr)))
2795
2796 (defun math-const-var (expr)
2797   (and (consp expr)
2798        (eq (car expr) 'var)
2799        (or (and (symbolp (nth 2 expr))
2800                 (boundp (nth 2 expr))
2801                 (eq (car-safe (symbol-value (nth 2 expr))) 'special-const))
2802            (memq (nth 2 expr) '(var-inf var-uinf var-nan)))))
2803
2804 ;; The variable math-integral-cache is originally declared in calcalg2.el,
2805 ;; but is set by math-defintegral and math-definitegral2.
2806 (defvar math-integral-cache)
2807
2808 (defmacro math-defintegral (funcs &rest code)
2809   (setq math-integral-cache nil)
2810   (append '(progn)
2811           (mapcar (function
2812                    (lambda (func)
2813                      (list 'put (list 'quote func) ''math-integral
2814                            (list 'nconc
2815                                  (list 'get (list 'quote func) ''math-integral)
2816                                  (list 'list
2817                                        (list 'function
2818                                              (append '(lambda (u))
2819                                                      code)))))))
2820                   (if (symbolp funcs) (list funcs) funcs))))
2821 (put 'math-defintegral 'lisp-indent-hook 1)
2822
2823 (defmacro math-defintegral-2 (funcs &rest code)
2824   (setq math-integral-cache nil)
2825   (append '(progn)
2826           (mapcar (function
2827                    (lambda (func)
2828                      (list 'put (list 'quote func) ''math-integral-2
2829                            (list 'nconc
2830                                  (list 'get (list 'quote func)
2831                                        ''math-integral-2)
2832                                  (list 'list
2833                                        (list 'function
2834                                              (append '(lambda (u v))
2835                                                      code)))))))
2836                   (if (symbolp funcs) (list funcs) funcs))))
2837 (put 'math-defintegral-2 'lisp-indent-hook 1)
2838
2839 (defvar var-IntegAfterRules 'calc-IntegAfterRules)
2840
2841 (defvar var-FitRules 'calc-FitRules)
2842
2843 (defvar math-poly-base-variable nil)
2844 (defvar math-poly-neg-powers nil)
2845 (defvar math-poly-mult-powers 1)
2846 (defvar math-poly-frac-powers nil)
2847 (defvar math-poly-exp-base nil)
2848
2849 (defun math-build-var-name (name)
2850   (if (stringp name)
2851       (setq name (intern name)))
2852   (if (string-match "\\`var-." (symbol-name name))
2853       (list 'var (intern (substring (symbol-name name) 4)) name)
2854     (list 'var name (intern (concat "var-" (symbol-name name))))))
2855
2856 (defvar math-simplifying-units nil)
2857 (defvar math-combining-units t)
2858
2859 ;;; Nontrivial number parsing.
2860
2861 (defun math-read-number-fancy (s)
2862   (cond
2863
2864    ;; Integer+fractions
2865    ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2866     (let ((int (math-match-substring s 1))
2867           (num (math-match-substring s 2))
2868           (den (math-match-substring s 3)))
2869       (let ((int (if (> (length int) 0) (math-read-number int) 0))
2870             (num (if (> (length num) 0) (math-read-number num) 1))
2871             (den (if (> (length num) 0) (math-read-number den) 1)))
2872         (and int num den
2873              (math-integerp int) (math-integerp num) (math-integerp den)
2874              (not (math-zerop den))
2875              (list 'frac (math-add num (math-mul int den)) den)))))
2876
2877    ;; Fractions
2878    ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2879     (let ((num (math-match-substring s 1))
2880           (den (math-match-substring s 2)))
2881       (let ((num (if (> (length num) 0) (math-read-number num) 1))
2882             (den (if (> (length num) 0) (math-read-number den) 1)))
2883         (and num den (math-integerp num) (math-integerp den)
2884              (not (math-zerop den))
2885              (list 'frac num den)))))
2886
2887    ;; Modulo forms
2888    ((string-match "^\\(.*\\) *mod *\\(.*\\)$" s)
2889     (let* ((n (math-match-substring s 1))
2890            (m (math-match-substring s 2))
2891            (n (math-read-number n))
2892            (m (math-read-number m)))
2893       (and n m (math-anglep n) (math-anglep m)
2894            (list 'mod n m))))
2895
2896    ;; Error forms
2897    ((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s)
2898     (let* ((x (math-match-substring s 1))
2899            (sigma (math-match-substring s 2))
2900            (x (math-read-number x))
2901            (sigma (math-read-number sigma)))
2902       (and x sigma (math-scalarp x) (math-anglep sigma)
2903            (list 'sdev x sigma))))
2904
2905    ;; Hours (or degrees)
2906    ((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s)
2907         (string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s))
2908     (let* ((hours (math-match-substring s 1))
2909            (minsec (math-match-substring s 2))
2910            (hours (math-read-number hours))
2911            (minsec (if (> (length minsec) 0) (math-read-number minsec) 0)))
2912       (and hours minsec
2913            (math-num-integerp hours)
2914            (not (math-negp hours)) (not (math-negp minsec))
2915            (cond ((math-num-integerp minsec)
2916                   (and (Math-lessp minsec 60)
2917                        (list 'hms hours minsec 0)))
2918                  ((and (eq (car-safe minsec) 'hms)
2919                        (math-zerop (nth 1 minsec)))
2920                   (math-add (list 'hms hours 0 0) minsec))
2921                  (t nil)))))
2922
2923    ;; Minutes
2924    ((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s)
2925     (let* ((minutes (math-match-substring s 1))
2926            (seconds (math-match-substring s 2))
2927            (minutes (math-read-number minutes))
2928            (seconds (if (> (length seconds) 0) (math-read-number seconds) 0)))
2929       (and minutes seconds
2930            (math-num-integerp minutes)
2931            (not (math-negp minutes)) (not (math-negp seconds))
2932            (cond ((math-realp seconds)
2933                   (and (Math-lessp minutes 60)
2934                        (list 'hms 0 minutes seconds)))
2935                  ((and (eq (car-safe seconds) 'hms)
2936                        (math-zerop (nth 1 seconds))
2937                        (math-zerop (nth 2 seconds)))
2938                   (math-add (list 'hms 0 minutes 0) seconds))
2939                  (t nil)))))
2940
2941    ;; Seconds
2942    ((string-match "^\\([^\"#^]+\\)[sS\"]$" s)
2943     (let ((seconds (math-read-number (math-match-substring s 1))))
2944       (and seconds (math-realp seconds)
2945            (not (math-negp seconds))
2946            (Math-lessp seconds 60)
2947            (list 'hms 0 0 seconds))))
2948
2949    ;; Integer+fraction with explicit radix
2950    ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s)
2951     (let ((radix (string-to-number (math-match-substring s 1)))
2952           (int (math-match-substring s 3))
2953           (num (math-match-substring s 4))
2954           (den (math-match-substring s 5)))
2955       (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2956             (num (if (> (length num) 0) (math-read-radix num radix) 1))
2957             (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2958         (and int num den (not (math-zerop den))
2959              (list 'frac
2960                    (math-add num (math-mul int den))
2961                    den)))))
2962
2963    ;; Fraction with explicit radix
2964    ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s)
2965     (let ((radix (string-to-number (math-match-substring s 1)))
2966           (num (math-match-substring s 3))
2967           (den (math-match-substring s 4)))
2968       (let ((num (if (> (length num) 0) (math-read-radix num radix) 1))
2969             (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2970         (and num den (not (math-zerop den)) (list 'frac num den)))))
2971
2972    ;; Float with explicit radix and exponent
2973    ((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s)
2974         (string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s))
2975     (let ((radix (string-to-number (math-match-substring s 2)))
2976           (mant (math-match-substring s 1))
2977           (exp (math-match-substring s 4)))
2978       (let ((mant (math-read-number mant))
2979             (exp (math-read-number exp)))
2980         (and mant exp
2981              (math-mul mant (math-pow (math-float radix) exp))))))
2982
2983    ;; Float with explicit radix, no exponent
2984    ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s)
2985     (let ((radix (string-to-number (math-match-substring s 1)))
2986           (int (math-match-substring s 3))
2987           (fracs (math-match-substring s 4)))
2988       (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2989             (frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0))
2990             (calc-prefer-frac nil))
2991         (and int frac
2992              (math-add int (math-div frac (math-pow radix (length fracs))))))))
2993
2994    ;; Integer with explicit radix
2995    ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s)
2996     (math-read-radix (math-match-substring s 3)
2997                      (string-to-number (math-match-substring s 1))))
2998
2999    ;; C language hexadecimal notation
3000    ((and (eq calc-language 'c)
3001          (string-match "^0[xX]\\([0-9a-fA-F]+\\)$" s))
3002     (let ((digs (math-match-substring s 1)))
3003       (math-read-radix digs 16)))
3004
3005    ;; Pascal language hexadecimal notation
3006    ((and (eq calc-language 'pascal)
3007          (string-match "^\\$\\([0-9a-fA-F]+\\)$" s))
3008     (let ((digs (math-match-substring s 1)))
3009       (math-read-radix digs 16)))
3010
3011    ;; Fraction using "/" instead of ":"
3012    ((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s)
3013     (math-read-number (concat (math-match-substring s 1) ":"
3014                               (math-match-substring s 2))))
3015
3016    ;; Syntax error!
3017    (t nil)))
3018
3019 (defun math-read-radix (s r)   ; [I X D]
3020   (setq s (upcase s))
3021   (let ((i 0)
3022         (res 0)
3023         dig)
3024     (while (and (< i (length s))
3025                 (setq dig (math-read-radix-digit (elt s i)))
3026                 (< dig r))
3027       (setq res (math-add (math-mul res r) dig)
3028             i (1+ i)))
3029     (and (= i (length s))
3030          res)))
3031
3032
3033
3034 ;;; Expression parsing.
3035
3036 (defvar math-expr-data)
3037
3038 (defun math-read-expr (math-exp-str)
3039   (let ((math-exp-pos 0)
3040         (math-exp-old-pos 0)
3041         (math-exp-keep-spaces nil)
3042         math-exp-token math-expr-data)
3043     (setq math-exp-str (math-read-preprocess-string math-exp-str))
3044     (while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
3045       (setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots"
3046                             (substring math-exp-str (+ math-exp-token 2)))))
3047     (math-build-parse-table)
3048     (math-read-token)
3049     (let ((val (catch 'syntax (math-read-expr-level 0))))
3050       (if (stringp val)
3051           (list 'error math-exp-old-pos val)
3052         (if (equal math-exp-token 'end)
3053             val
3054           (list 'error math-exp-old-pos "Syntax error"))))))
3055
3056 (defun math-read-plain-expr (exp-str &optional error-check)
3057   (let* ((calc-language nil)
3058          (math-expr-opers (math-standard-ops))
3059          (val (math-read-expr exp-str)))
3060     (and error-check
3061          (eq (car-safe val) 'error)
3062          (error "%s: %s" (nth 2 val) exp-str))
3063     val))
3064
3065
3066 (defun math-read-string ()
3067   (let ((str (read-from-string (concat math-expr-data "\""))))
3068     (or (and (= (cdr str) (1+ (length math-expr-data)))
3069              (stringp (car str)))
3070         (throw 'syntax "Error in string constant"))
3071     (math-read-token)
3072     (append '(vec) (car str) nil)))
3073
3074
3075
3076 ;;; They said it couldn't be done...
3077
3078 (defun math-read-big-expr (str)
3079   (and (> (length calc-left-label) 0)
3080        (string-match (concat "^" (regexp-quote calc-left-label)) str)
3081        (setq str (concat (substring str 0 (match-beginning 0))
3082                          (substring str (match-end 0)))))
3083   (and (> (length calc-right-label) 0)
3084        (string-match (concat (regexp-quote calc-right-label) " *$") str)
3085        (setq str (concat (substring str 0 (match-beginning 0))
3086                          (substring str (match-end 0)))))
3087   (if (string-match "\\\\[^ \n|]" str)
3088       (if (eq calc-language 'latex)
3089           (math-read-expr str)
3090         (let ((calc-language 'latex)
3091               (calc-language-option nil)
3092               (math-expr-opers (get 'latex 'math-oper-table))
3093               (math-expr-function-mapping (get 'latex 'math-function-table))
3094               (math-expr-variable-mapping (get 'latex 'math-variable-table)))
3095           (math-read-expr str)))
3096     (let ((math-read-big-lines nil)
3097           (pos 0)
3098           (width 0)
3099           (math-read-big-err-msg nil)
3100           math-read-big-baseline math-read-big-h2
3101           new-pos p)
3102       (while (setq new-pos (string-match "\n" str pos))
3103         (setq math-read-big-lines
3104               (cons (substring str pos new-pos) math-read-big-lines)
3105               pos (1+ new-pos)))
3106       (setq math-read-big-lines
3107             (nreverse (cons (substring str pos) math-read-big-lines))
3108             p math-read-big-lines)
3109       (while p
3110         (setq width (max width (length (car p)))
3111               p (cdr p)))
3112       (if (math-read-big-bigp math-read-big-lines)
3113           (or (catch 'syntax
3114                 (math-read-big-rec 0 0 width (length math-read-big-lines)))
3115               math-read-big-err-msg
3116               '(error 0 "Syntax error"))
3117         (math-read-expr str)))))
3118
3119 (defun math-read-big-bigp (math-read-big-lines)
3120   (and (cdr math-read-big-lines)
3121        (let ((matrix nil)
3122              (v 0)
3123              (height (if (> (length (car math-read-big-lines)) 0) 1 0)))
3124          (while (and (cdr math-read-big-lines)
3125                      (let* ((i 0)
3126                             j
3127                             (l1 (car math-read-big-lines))
3128                             (l2 (nth 1 math-read-big-lines))
3129                             (len (min (length l1) (length l2))))
3130                        (if (> (length l2) 0)
3131                            (setq height (1+ height)))
3132                        (while (and (< i len)
3133                                    (or (memq (aref l1 i) '(?\  ?\- ?\_))
3134                                        (memq (aref l2 i) '(?\  ?\-))
3135                                        (and (memq (aref l1 i) '(?\| ?\,))
3136                                             (= (aref l2 i) (aref l1 i)))
3137                                        (and (eq (aref l1 i) ?\[)
3138                                             (eq (aref l2 i) ?\[)
3139                                             (let ((math-rb-h2 (length l1)))
3140                                               (setq j (math-read-big-balance
3141                                                        (1+ i) v "[")))
3142                                             (setq i (1- j)))))
3143                          (setq i (1+ i)))
3144                        (or (= i len)
3145                            (and (eq (aref l1 i) ?\[)
3146                                 (eq (aref l2 i) ?\[)
3147                                 (setq matrix t)
3148                                 nil))))
3149            (setq math-read-big-lines (cdr math-read-big-lines)
3150                  v (1+ v)))
3151          (or (and (> height 1)
3152                   (not (cdr math-read-big-lines)))
3153              matrix))))
3154
3155 ;;; Nontrivial "flat" formatting.
3156
3157 (defvar math-format-hash-args nil)
3158 (defvar calc-can-abbrev-vectors nil)
3159
3160 (defun math-format-flat-expr-fancy (a prec)
3161   (cond
3162    ((eq (car a) 'incomplete)
3163     (format "<incomplete %s>" (nth 1 a)))
3164    ((eq (car a) 'vec)
3165     (if (or calc-full-trail-vectors (not calc-can-abbrev-vectors)
3166             (< (length a) 7))
3167         (concat "[" (math-format-flat-vector (cdr a) ", "
3168                                              (if (cdr (cdr a)) 0 1000)) "]")
3169       (concat "["
3170               (math-format-flat-expr (nth 1 a) 0) ", "
3171               (math-format-flat-expr (nth 2 a) 0) ", "
3172               (math-format-flat-expr (nth 3 a) 0) ", ..., "
3173               (math-format-flat-expr (nth (1- (length a)) a) 0) "]")))
3174    ((eq (car a) 'intv)
3175     (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3176             (math-format-flat-expr (nth 2 a) 1000)
3177             " .. "
3178             (math-format-flat-expr (nth 3 a) 1000)
3179             (if (memq (nth 1 a) '(0 2)) ")" "]")))
3180    ((eq (car a) 'date)
3181     (concat "<" (math-format-date a) ">"))
3182    ((and (eq (car a) 'calcFunc-lambda) (> (length a) 2))
3183     (let ((p (cdr a))
3184           (ap calc-arg-values)
3185           (math-format-hash-args (if (= (length a) 3) 1 t)))
3186       (while (and (cdr p) (equal (car p) (car ap)))
3187         (setq p (cdr p) ap (cdr ap)))
3188       (concat "<"
3189               (if (cdr p)
3190                   (concat (math-format-flat-vector
3191                            (nreverse (cdr (reverse (cdr a)))) ", " 0)
3192                           " : ")
3193                 "")
3194               (math-format-flat-expr (nth (1- (length a)) a) 0)
3195               ">")))
3196    ((eq (car a) 'var)
3197     (or (and math-format-hash-args
3198              (let ((p calc-arg-values) (v 1))
3199                (while (and p (not (equal (car p) a)))
3200                  (setq p (and (eq math-format-hash-args t) (cdr p))
3201                        v (1+ v)))
3202                (and p
3203                     (if (eq math-format-hash-args 1)
3204                         "#"
3205                       (format "#%d" v)))))
3206         (symbol-name (nth 1 a))))
3207    ((and (memq (car a) '(calcFunc-string calcFunc-bstring))
3208          (= (length a) 2)
3209          (math-vectorp (nth 1 a))
3210          (math-vector-is-string (nth 1 a)))
3211     (concat (substring (symbol-name (car a)) 9)
3212             "(" (math-vector-to-string (nth 1 a) t) ")"))
3213    (t
3214     (let ((op (math-assq2 (car a) (math-standard-ops))))
3215       (cond ((and op (= (length a) 3))
3216              (if (> prec (min (nth 2 op) (nth 3 op)))
3217                  (concat "(" (math-format-flat-expr a 0) ")")
3218                (let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op)))
3219                      (rhs (math-format-flat-expr (nth 2 a) (nth 3 op))))
3220                  (setq op (car op))
3221                  (if (or (equal op "^") (equal op "_"))
3222                      (if (= (aref lhs 0) ?-)
3223                          (setq lhs (concat "(" lhs ")")))
3224                    (setq op (concat " " op " ")))
3225                  (concat lhs op rhs))))
3226             ((eq (car a) 'neg)
3227              (concat "-" (math-format-flat-expr (nth 1 a) 1000)))
3228             (t
3229              (concat (math-remove-dashes
3230                       (if (string-match "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
3231                                         (symbol-name (car a)))
3232                           (math-match-substring (symbol-name (car a)) 1)
3233                         (symbol-name (car a))))
3234                      "("
3235                      (math-format-flat-vector (cdr a) ", " 0)
3236                      ")")))))))
3237
3238 (defun math-format-flat-vector (vec sep prec)
3239   (if vec
3240       (let ((buf (math-format-flat-expr (car vec) prec)))
3241         (while (setq vec (cdr vec))
3242           (setq buf (concat buf sep (math-format-flat-expr (car vec) prec))))
3243         buf)
3244     ""))
3245
3246 (defun math-format-nice-expr (x w)
3247   (cond ((and (eq (car-safe x) 'vec)
3248               (cdr (cdr x))
3249               (let ((ops '(vec calcFunc-assign calcFunc-condition
3250                                calcFunc-schedule calcFunc-iterations
3251                                calcFunc-phase)))
3252                 (or (memq (car-safe (nth 1 x)) ops)
3253                     (memq (car-safe (nth 2 x)) ops)
3254                     (memq (car-safe (nth 3 x)) ops)
3255                     calc-break-vectors)))
3256          (concat "[ " (math-format-flat-vector (cdr x) ",\n  " 0) " ]"))
3257         (t
3258          (let ((str (math-format-flat-expr x 0))
3259                (pos 0) p)
3260            (or (string-match "\"" str)
3261                (while (<= (setq p (+ pos w)) (length str))
3262                  (while (and (> (setq p (1- p)) pos)
3263                              (not (= (aref str p) ? ))))
3264                  (if (> p (+ pos 5))
3265                      (setq str (concat (substring str 0 p)
3266                                        "\n "
3267                                        (substring str p))
3268                            pos (1+ p))
3269                    (setq pos (+ pos w)))))
3270            str))))
3271
3272 (defun math-assq2 (v a)
3273   (while (and a (not (eq v (nth 1 (car a)))))
3274     (setq a (cdr a)))
3275   (car a))
3276
3277 (defun math-format-number-fancy (a prec)
3278   (cond
3279    ((eq (car a) 'float)    ; non-decimal radix
3280     (if (Math-integer-negp (nth 1 a))
3281         (concat "-" (math-format-number (math-neg a)))
3282       (let ((str (if (and calc-radix-formatter
3283                           (not (memq calc-language '(c pascal))))
3284                      (funcall calc-radix-formatter
3285                               calc-number-radix
3286                               (math-format-radix-float a prec))
3287                    (format "%d#%s" calc-number-radix
3288                            (math-format-radix-float a prec)))))
3289         (if (and prec (> prec 191) (string-match "\\*" str))
3290             (concat "(" str ")")
3291           str))))
3292    ((eq (car a) 'frac)
3293     (setq a (math-adjust-fraction a))
3294     (if (> (length (car calc-frac-format)) 1)
3295         (if (Math-integer-negp (nth 1 a))
3296             (concat "-" (math-format-number (math-neg a)))
3297           (let ((q (math-idivmod (nth 1 a) (nth 2 a))))
3298             (concat (let ((calc-frac-format nil))
3299                       (math-format-number (car q)))
3300                     (substring (car calc-frac-format) 0 1)
3301                     (let ((math-radix-explicit-format nil)
3302                           (calc-frac-format nil))
3303                       (math-format-number (cdr q)))
3304                     (substring (car calc-frac-format) 1 2)
3305                     (let ((math-radix-explicit-format nil)
3306                           (calc-frac-format nil))
3307                       (math-format-number (nth 2 a))))))
3308       (concat (let ((calc-frac-format nil))
3309                 (math-format-number (nth 1 a)))
3310               (car calc-frac-format)
3311               (let ((math-radix-explicit-format nil)
3312                     (calc-frac-format nil))
3313                 (math-format-number (nth 2 a))))))
3314    ((eq (car a) 'cplx)
3315     (if (math-zerop (nth 2 a))
3316         (math-format-number (nth 1 a))
3317       (if (null calc-complex-format)
3318           (concat "(" (math-format-number (nth 1 a))
3319                   ", " (math-format-number (nth 2 a)) ")")
3320         (if (math-zerop (nth 1 a))
3321             (if (math-equal-int (nth 2 a) 1)
3322                 (symbol-name calc-complex-format)
3323               (if (math-equal-int (nth 2 a) -1)
3324                   (concat "-" (symbol-name calc-complex-format))
3325                 (if prec
3326                     (math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec)
3327                   (concat (math-format-number (nth 2 a)) " "
3328                           (symbol-name calc-complex-format)))))
3329           (if prec
3330               (math-compose-expr (list (if (math-negp (nth 2 a)) '- '+)
3331                                        (nth 1 a)
3332                                        (list 'cplx 0 (math-abs (nth 2 a))))
3333                                  prec)
3334             (concat (math-format-number (nth 1 a))
3335                     (if (math-negp (nth 2 a)) " - " " + ")
3336                     (math-format-number
3337                      (list 'cplx 0 (math-abs (nth 2 a))))))))))
3338    ((eq (car a) 'polar)
3339     (concat "(" (math-format-number (nth 1 a))
3340             "; " (math-format-number (nth 2 a)) ")"))
3341    ((eq (car a) 'hms)
3342     (if (math-negp a)
3343         (concat "-" (math-format-number (math-neg a)))
3344       (let ((calc-number-radix 10)
3345             (calc-leading-zeros nil)
3346             (calc-group-digits nil))
3347         (format calc-hms-format
3348                 (let ((calc-frac-format '(":" nil)))
3349                   (math-format-number (nth 1 a)))
3350                 (let ((calc-frac-format '(":" nil)))
3351                   (math-format-number (nth 2 a)))
3352                 (math-format-number (nth 3 a))))))
3353    ((eq (car a) 'intv)
3354     (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3355             (math-format-number (nth 2 a))
3356             " .. "
3357             (math-format-number (nth 3 a))
3358             (if (memq (nth 1 a) '(0 2)) ")" "]")))
3359    ((eq (car a) 'sdev)
3360     (concat (math-format-number (nth 1 a))
3361             " +/- "
3362             (math-format-number (nth 2 a))))
3363    ((eq (car a) 'vec)
3364     (math-format-flat-expr a 0))
3365    (t (format "%s" a))))
3366
3367 (defun math-adjust-fraction (a)
3368   (if (nth 1 calc-frac-format)
3369       (progn
3370         (if (Math-integerp a) (setq a (list 'frac a 1)))
3371         (let ((g (math-quotient (nth 1 calc-frac-format)
3372                                 (math-gcd (nth 2 a)
3373                                           (nth 1 calc-frac-format)))))
3374           (list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g))))
3375     a))
3376
3377 (defun math-format-bignum-fancy (a)   ; [X L]
3378   (let ((str (cond ((= calc-number-radix 10)
3379                     (math-format-bignum-decimal a))
3380                    ((= calc-number-radix 2)
3381                     (math-format-bignum-binary a))
3382                    ((= calc-number-radix 8)
3383                     (math-format-bignum-octal a))
3384                    ((= calc-number-radix 16)
3385                     (math-format-bignum-hex a))
3386                    (t (math-format-bignum-radix a)))))
3387     (if calc-leading-zeros
3388         (let* ((calc-internal-prec 6)
3389                (digs (math-compute-max-digits (math-abs calc-word-size)
3390                                               calc-number-radix))
3391                (len (length str)))
3392           (if (< len digs)
3393               (setq str (concat (make-string (- digs len) ?0) str)))))
3394     (if calc-group-digits
3395         (let ((i (length str))
3396               (g (if (integerp calc-group-digits)
3397                      (math-abs calc-group-digits)
3398                    (if (memq calc-number-radix '(2 16)) 4 3))))
3399           (while (> i g)
3400             (setq i (- i g)
3401                   str (concat (substring str 0 i)
3402                               calc-group-char
3403                               (substring str i))))
3404           str))
3405     (if (and (/= calc-number-radix 10)
3406              math-radix-explicit-format)
3407         (if calc-radix-formatter
3408             (funcall calc-radix-formatter calc-number-radix str)
3409           (format "%d#%s" calc-number-radix str))
3410       str)))
3411
3412
3413 (defun math-group-float (str)   ; [X X]
3414   (let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str)))
3415          (g (if (integerp calc-group-digits) (math-abs calc-group-digits) 3))
3416          (i pt))
3417     (if (and (integerp calc-group-digits) (< calc-group-digits 0))
3418         (while (< (setq i (+ (1+ i) g)) (length str))
3419           (setq str (concat (substring str 0 i)
3420                             calc-group-char
3421                             (substring str i))
3422                 i (+ i (1- (length calc-group-char))))))
3423     (setq i pt)
3424     (while (> i g)
3425       (setq i (- i g)
3426             str (concat (substring str 0 i)
3427                         calc-group-char
3428                         (substring str i))))
3429     str))
3430
3431 ;;; Users can redefine this in their .emacs files.
3432 (defvar calc-keypad-user-menu nil
3433   "If non-nil, this describes an additional menu for calc-keypad.
3434 It should contain a list of three rows.
3435 Each row should be a list of six keys.
3436 Each key should be a list of a label string, plus a Calc command name spec.
3437 A command spec is a command name symbol, a keyboard macro string, a
3438 list containing a numeric entry string, or nil.
3439 A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.")
3440
3441 (run-hooks 'calc-ext-load-hook)
3442
3443 (provide 'calc-ext)
3444
3445 ;;; arch-tag: 1814ba7f-a390-49dc-9e25-a5adc205e97e
3446 ;;; calc-ext.el ends here