calc/calc-undo.el (calc-undo): Autoload it.
[bpt/emacs.git] / 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, 2005,
4 ;; 2006, 2007, 2008, 2009, 2010, 2011 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 of the License, or
14 ;; (at your option) 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. If not, see <http://www.gnu.org/licenses/>.
23
24 ;;; Commentary:
25
26 ;;; Code:
27
28 (require 'calc)
29 (require 'calc-macs)
30
31 ;; Declare functions which are defined elsewhere.
32 (declare-function math-clip "calc-bin" (a &optional w))
33 (declare-function math-round "calc-arith" (a &optional prec))
34 (declare-function math-simplify "calc-alg" (top-expr))
35 (declare-function math-simplify-extended "calc-alg" (a))
36 (declare-function math-simplify-units "calc-units" (a))
37 (declare-function calc-set-language "calc-lang" (lang &optional option no-refresh))
38 (declare-function calc-flush-caches "calc-stuff" (&optional inhibit-msg))
39 (declare-function calc-save-modes "calc-mode" ())
40 (declare-function calc-embedded-modes-change "calc-embed" (vars))
41 (declare-function calc-embedded-var-change "calc-embed" (var &optional buf))
42 (declare-function math-mul-float "calc-arith" (a b))
43 (declare-function math-arctan-raw "calc-math" (x))
44 (declare-function math-sqrt-raw "calc-math" (a &optional guess))
45 (declare-function math-sqrt-float "calc-math" (a &optional guess))
46 (declare-function math-exp-minus-1-raw "calc-math" (x))
47 (declare-function math-normalize-polar "calc-cplx" (a))
48 (declare-function math-normalize-hms "calc-forms" (a))
49 (declare-function math-normalize-mod "calc-forms" (a))
50 (declare-function math-make-sdev "calc-forms" (x sigma))
51 (declare-function math-make-intv "calc-forms" (mask lo hi))
52 (declare-function math-normalize-logical-op "calc-prog" (a))
53 (declare-function math-possible-signs "calc-arith" (a &optional origin))
54 (declare-function math-infinite-dir "calc-math" (a &optional inf))
55 (declare-function math-calcFunc-to-var "calc-map" (f))
56 (declare-function calc-embedded-evaluate-expr "calc-embed" (x))
57 (declare-function math-known-nonzerop "calc-arith" (a))
58 (declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term))
59 (declare-function math-read-big-rec "calc-lang" (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2 &optional baseline prec short))
60 (declare-function math-read-big-balance "calc-lang" (h v what &optional commas))
61 (declare-function math-format-date "calc-forms" (math-fd-date))
62 (declare-function math-vector-is-string "calccomp" (a))
63 (declare-function math-vector-to-string "calccomp" (a &optional quoted))
64 (declare-function math-format-radix-float "calc-bin" (a prec))
65 (declare-function math-compose-expr "calccomp" (a prec))
66 (declare-function math-abs "calc-arith" (a))
67 (declare-function math-format-bignum-binary "calc-bin" (a))
68 (declare-function math-format-bignum-octal "calc-bin" (a))
69 (declare-function math-format-bignum-hex "calc-bin" (a))
70 (declare-function math-format-bignum-radix "calc-bin" (a))
71 (declare-function math-compute-max-digits "calc-bin" (w r))
72 (declare-function math-map-vec "calc-vec" (f a))
73 (declare-function math-make-frac "calc-frac" (num den))
74
75
76 (defvar math-simplifying nil)
77 (defvar math-living-dangerously nil) ; true if unsafe simplifications are okay.
78 (defvar math-integrating nil)
79
80 (defvar math-rewrite-selections nil)
81
82 (defvar math-compose-level 0)
83 (defvar math-comp-selected nil)
84 (defvar math-comp-tagged nil)
85 (defvar math-comp-sel-hpos nil)
86 (defvar math-comp-sel-vpos nil)
87 (defvar math-comp-sel-cpos nil)
88 (defvar math-compose-hash-args nil)
89
90 (defvar calc-alg-map)
91 (defvar calc-alg-esc-map)
92
93 ;;; The following was made a function so that it could be byte-compiled.
94 (defun calc-init-extensions ()
95
96 (define-key calc-mode-map ":" 'calc-fdiv)
97 (define-key calc-mode-map "\\" 'calc-idiv)
98 (define-key calc-mode-map "|" 'calc-concat)
99 (define-key calc-mode-map "!" 'calc-factorial)
100 (define-key calc-mode-map "C" 'calc-cos)
101 (define-key calc-mode-map "E" 'calc-exp)
102 (define-key calc-mode-map "H" 'calc-hyperbolic)
103 (define-key calc-mode-map "I" 'calc-inverse)
104 (define-key calc-mode-map "J" 'calc-conj)
105 (define-key calc-mode-map "L" 'calc-ln)
106 (define-key calc-mode-map "N" 'calc-eval-num)
107 (define-key calc-mode-map "O" 'calc-option)
108 (define-key calc-mode-map "P" 'calc-pi)
109 (define-key calc-mode-map "Q" 'calc-sqrt)
110 (define-key calc-mode-map "R" 'calc-round)
111 (define-key calc-mode-map "S" 'calc-sin)
112 (define-key calc-mode-map "T" 'calc-tan)
113 (define-key calc-mode-map "U" 'calc-undo)
114 (define-key calc-mode-map "X" 'calc-call-last-kbd-macro)
115 (define-key calc-mode-map "o" 'calc-realign)
116 (define-key calc-mode-map "p" 'calc-precision)
117 (define-key calc-mode-map "w" 'calc-why)
118 (define-key calc-mode-map "x" 'calc-execute-extended-command)
119 (define-key calc-mode-map "y" 'calc-copy-to-buffer)
120
121 (define-key calc-mode-map "(" 'calc-begin-complex)
122 (define-key calc-mode-map ")" 'calc-end-complex)
123 (define-key calc-mode-map "[" 'calc-begin-vector)
124 (define-key calc-mode-map "]" 'calc-end-vector)
125 (define-key calc-mode-map "," 'calc-comma)
126 (define-key calc-mode-map ";" 'calc-semi)
127 (define-key calc-mode-map "`" 'calc-edit)
128 (define-key calc-mode-map "=" 'calc-evaluate)
129 (define-key calc-mode-map "~" 'calc-num-prefix)
130 (define-key calc-mode-map "<" 'calc-scroll-left)
131 (define-key calc-mode-map ">" 'calc-scroll-right)
132 (define-key calc-mode-map "{" 'calc-scroll-down)
133 (define-key calc-mode-map "}" 'calc-scroll-up)
134 (define-key calc-mode-map "\C-k" 'calc-kill)
135 (define-key calc-mode-map "\M-k" 'calc-copy-as-kill)
136 (define-key calc-mode-map "\C-w" 'calc-kill-region)
137 (define-key calc-mode-map "\M-w" 'calc-copy-region-as-kill)
138 (define-key calc-mode-map "\M-\C-w" 'kill-ring-save)
139 (define-key calc-mode-map "\M-\C-m" 'calc-last-args)
140
141 (define-key calc-mode-map "a" nil)
142 (define-key calc-mode-map "a?" 'calc-a-prefix-help)
143 (define-key calc-mode-map "aa" 'calc-apart)
144 (define-key calc-mode-map "ab" 'calc-substitute)
145 (define-key calc-mode-map "ac" 'calc-collect)
146 (define-key calc-mode-map "ad" 'calc-derivative)
147 (define-key calc-mode-map "ae" 'calc-simplify-extended)
148 (define-key calc-mode-map "af" 'calc-factor)
149 (define-key calc-mode-map "ag" 'calc-poly-gcd)
150 (define-key calc-mode-map "ai" 'calc-integral)
151 (define-key calc-mode-map "am" 'calc-match)
152 (define-key calc-mode-map "an" 'calc-normalize-rat)
153 (define-key calc-mode-map "ap" 'calc-poly-interp)
154 (define-key calc-mode-map "ar" 'calc-rewrite)
155 (define-key calc-mode-map "as" 'calc-simplify)
156 (define-key calc-mode-map "at" 'calc-taylor)
157 (define-key calc-mode-map "av" 'calc-alg-evaluate)
158 (define-key calc-mode-map "ax" 'calc-expand)
159 (define-key calc-mode-map "aA" 'calc-abs)
160 (define-key calc-mode-map "aF" 'calc-curve-fit)
161 (define-key calc-mode-map "aI" 'calc-num-integral)
162 (define-key calc-mode-map "aM" 'calc-map-equation)
163 (define-key calc-mode-map "aN" 'calc-find-minimum)
164 (define-key calc-mode-map "aP" 'calc-poly-roots)
165 (define-key calc-mode-map "aS" 'calc-solve-for)
166 (define-key calc-mode-map "aR" 'calc-find-root)
167 (define-key calc-mode-map "aT" 'calc-tabulate)
168 (define-key calc-mode-map "aX" 'calc-find-maximum)
169 (define-key calc-mode-map "a+" 'calc-summation)
170 (define-key calc-mode-map "a-" 'calc-alt-summation)
171 (define-key calc-mode-map "a*" 'calc-product)
172 (define-key calc-mode-map "a\\" 'calc-poly-div)
173 (define-key calc-mode-map "a%" 'calc-poly-rem)
174 (define-key calc-mode-map "a/" 'calc-poly-div-rem)
175 (define-key calc-mode-map "a=" 'calc-equal-to)
176 (define-key calc-mode-map "a#" 'calc-not-equal-to)
177 (define-key calc-mode-map "a<" 'calc-less-than)
178 (define-key calc-mode-map "a>" 'calc-greater-than)
179 (define-key calc-mode-map "a[" 'calc-less-equal)
180 (define-key calc-mode-map "a]" 'calc-greater-equal)
181 (define-key calc-mode-map "a." 'calc-remove-equal)
182 (define-key calc-mode-map "a{" 'calc-in-set)
183 (define-key calc-mode-map "a&" 'calc-logical-and)
184 (define-key calc-mode-map "a|" 'calc-logical-or)
185 (define-key calc-mode-map "a!" 'calc-logical-not)
186 (define-key calc-mode-map "a:" 'calc-logical-if)
187 (define-key calc-mode-map "a_" 'calc-subscript)
188 (define-key calc-mode-map "a\"" 'calc-expand-formula)
189
190 (define-key calc-mode-map "b" nil)
191 (define-key calc-mode-map "b?" 'calc-b-prefix-help)
192 (define-key calc-mode-map "ba" 'calc-and)
193 (define-key calc-mode-map "bc" 'calc-clip)
194 (define-key calc-mode-map "bd" 'calc-diff)
195 (define-key calc-mode-map "bl" 'calc-lshift-binary)
196 (define-key calc-mode-map "bn" 'calc-not)
197 (define-key calc-mode-map "bo" 'calc-or)
198 (define-key calc-mode-map "bp" 'calc-pack-bits)
199 (define-key calc-mode-map "br" 'calc-rshift-binary)
200 (define-key calc-mode-map "bt" 'calc-rotate-binary)
201 (define-key calc-mode-map "bu" 'calc-unpack-bits)
202 (define-key calc-mode-map "bw" 'calc-word-size)
203 (define-key calc-mode-map "bx" 'calc-xor)
204 (define-key calc-mode-map "bB" 'calc-log)
205 (define-key calc-mode-map "bD" 'calc-fin-ddb)
206 (define-key calc-mode-map "bF" 'calc-fin-fv)
207 (define-key calc-mode-map "bI" 'calc-fin-irr)
208 (define-key calc-mode-map "bL" 'calc-lshift-arith)
209 (define-key calc-mode-map "bM" 'calc-fin-pmt)
210 (define-key calc-mode-map "bN" 'calc-fin-npv)
211 (define-key calc-mode-map "bP" 'calc-fin-pv)
212 (define-key calc-mode-map "bR" 'calc-rshift-arith)
213 (define-key calc-mode-map "bS" 'calc-fin-sln)
214 (define-key calc-mode-map "bT" 'calc-fin-rate)
215 (define-key calc-mode-map "bY" 'calc-fin-syd)
216 (define-key calc-mode-map "b#" 'calc-fin-nper)
217 (define-key calc-mode-map "b%" 'calc-percent-change)
218
219 (define-key calc-mode-map "c" nil)
220 (define-key calc-mode-map "c?" 'calc-c-prefix-help)
221 (define-key calc-mode-map "cc" 'calc-clean)
222 (define-key calc-mode-map "cd" 'calc-to-degrees)
223 (define-key calc-mode-map "cf" 'calc-float)
224 (define-key calc-mode-map "ch" 'calc-to-hms)
225 (define-key calc-mode-map "cp" 'calc-polar)
226 (define-key calc-mode-map "cr" 'calc-to-radians)
227 (define-key calc-mode-map "cC" 'calc-cos)
228 (define-key calc-mode-map "cF" 'calc-fraction)
229 (define-key calc-mode-map "c%" 'calc-convert-percent)
230
231 (define-key calc-mode-map "d" nil)
232 (define-key calc-mode-map "d?" 'calc-d-prefix-help)
233 (define-key calc-mode-map "d0" 'calc-decimal-radix)
234 (define-key calc-mode-map "d2" 'calc-binary-radix)
235 (define-key calc-mode-map "d6" 'calc-hex-radix)
236 (define-key calc-mode-map "d8" 'calc-octal-radix)
237 (define-key calc-mode-map "db" 'calc-line-breaking)
238 (define-key calc-mode-map "dc" 'calc-complex-notation)
239 (define-key calc-mode-map "dd" 'calc-date-notation)
240 (define-key calc-mode-map "de" 'calc-eng-notation)
241 (define-key calc-mode-map "df" 'calc-fix-notation)
242 (define-key calc-mode-map "dg" 'calc-group-digits)
243 (define-key calc-mode-map "dh" 'calc-hms-notation)
244 (define-key calc-mode-map "di" 'calc-i-notation)
245 (define-key calc-mode-map "dj" 'calc-j-notation)
246 (define-key calc-mode-map "dl" 'calc-line-numbering)
247 (define-key calc-mode-map "dn" 'calc-normal-notation)
248 (define-key calc-mode-map "do" 'calc-over-notation)
249 (define-key calc-mode-map "dp" 'calc-show-plain)
250 (define-key calc-mode-map "dr" 'calc-radix)
251 (define-key calc-mode-map "ds" 'calc-sci-notation)
252 (define-key calc-mode-map "dt" 'calc-truncate-stack)
253 (define-key calc-mode-map "dw" 'calc-auto-why)
254 (define-key calc-mode-map "dz" 'calc-leading-zeros)
255 (define-key calc-mode-map "dA" 'calc-giac-language)
256 (define-key calc-mode-map "dB" 'calc-big-language)
257 (define-key calc-mode-map "dD" 'calc-redo)
258 (define-key calc-mode-map "dC" 'calc-c-language)
259 (define-key calc-mode-map "dE" 'calc-eqn-language)
260 (define-key calc-mode-map "dF" 'calc-fortran-language)
261 (define-key calc-mode-map "dM" 'calc-mathematica-language)
262 (define-key calc-mode-map "dN" 'calc-normal-language)
263 (define-key calc-mode-map "dO" 'calc-flat-language)
264 (define-key calc-mode-map "dP" 'calc-pascal-language)
265 (define-key calc-mode-map "dT" 'calc-tex-language)
266 (define-key calc-mode-map "dL" 'calc-latex-language)
267 (define-key calc-mode-map "dU" 'calc-unformatted-language)
268 (define-key calc-mode-map "dW" 'calc-maple-language)
269 (define-key calc-mode-map "dX" 'calc-maxima-language)
270 (define-key calc-mode-map "dY" 'calc-yacas-language)
271 (define-key calc-mode-map "d[" 'calc-truncate-up)
272 (define-key calc-mode-map "d]" 'calc-truncate-down)
273 (define-key calc-mode-map "d." 'calc-point-char)
274 (define-key calc-mode-map "d," 'calc-group-char)
275 (define-key calc-mode-map "d\"" 'calc-display-strings)
276 (define-key calc-mode-map "d<" 'calc-left-justify)
277 (define-key calc-mode-map "d=" 'calc-center-justify)
278 (define-key calc-mode-map "d>" 'calc-right-justify)
279 (define-key calc-mode-map "d{" 'calc-left-label)
280 (define-key calc-mode-map "d}" 'calc-right-label)
281 (define-key calc-mode-map "d'" 'calc-display-raw)
282 (define-key calc-mode-map "d " 'calc-refresh)
283 (define-key calc-mode-map "d\r" 'calc-refresh-top)
284 (define-key calc-mode-map "d@" 'calc-toggle-banner)
285
286 (define-key calc-mode-map "f" nil)
287 (define-key calc-mode-map "f?" 'calc-f-prefix-help)
288 (define-key calc-mode-map "fb" 'calc-beta)
289 (define-key calc-mode-map "fe" 'calc-erf)
290 (define-key calc-mode-map "fg" 'calc-gamma)
291 (define-key calc-mode-map "fh" 'calc-hypot)
292 (define-key calc-mode-map "fi" 'calc-im)
293 (define-key calc-mode-map "fj" 'calc-bessel-J)
294 (define-key calc-mode-map "fn" 'calc-min)
295 (define-key calc-mode-map "fr" 'calc-re)
296 (define-key calc-mode-map "fs" 'calc-sign)
297 (define-key calc-mode-map "fx" 'calc-max)
298 (define-key calc-mode-map "fy" 'calc-bessel-Y)
299 (define-key calc-mode-map "fA" 'calc-abssqr)
300 (define-key calc-mode-map "fB" 'calc-inc-beta)
301 (define-key calc-mode-map "fE" 'calc-expm1)
302 (define-key calc-mode-map "fF" 'calc-floor)
303 (define-key calc-mode-map "fG" 'calc-inc-gamma)
304 (define-key calc-mode-map "fI" 'calc-ilog)
305 (define-key calc-mode-map "fL" 'calc-lnp1)
306 (define-key calc-mode-map "fM" 'calc-mant-part)
307 (define-key calc-mode-map "fQ" 'calc-isqrt)
308 (define-key calc-mode-map "fS" 'calc-scale-float)
309 (define-key calc-mode-map "fT" 'calc-arctan2)
310 (define-key calc-mode-map "fX" 'calc-xpon-part)
311 (define-key calc-mode-map "f[" 'calc-decrement)
312 (define-key calc-mode-map "f]" 'calc-increment)
313
314 (define-key calc-mode-map "g" nil)
315 (define-key calc-mode-map "g?" 'calc-g-prefix-help)
316 (define-key calc-mode-map "ga" 'calc-graph-add)
317 (define-key calc-mode-map "gb" 'calc-graph-border)
318 (define-key calc-mode-map "gc" 'calc-graph-clear)
319 (define-key calc-mode-map "gd" 'calc-graph-delete)
320 (define-key calc-mode-map "gf" 'calc-graph-fast)
321 (define-key calc-mode-map "gg" 'calc-graph-grid)
322 (define-key calc-mode-map "gh" 'calc-graph-header)
323 (define-key calc-mode-map "gk" 'calc-graph-key)
324 (define-key calc-mode-map "gj" 'calc-graph-juggle)
325 (define-key calc-mode-map "gl" 'calc-graph-log-x)
326 (define-key calc-mode-map "gn" 'calc-graph-name)
327 (define-key calc-mode-map "gp" 'calc-graph-plot)
328 (define-key calc-mode-map "gq" 'calc-graph-quit)
329 (define-key calc-mode-map "gr" 'calc-graph-range-x)
330 (define-key calc-mode-map "gs" 'calc-graph-line-style)
331 (define-key calc-mode-map "gt" 'calc-graph-title-x)
332 (define-key calc-mode-map "gv" 'calc-graph-view-commands)
333 (define-key calc-mode-map "gx" 'calc-graph-display)
334 (define-key calc-mode-map "gz" 'calc-graph-zero-x)
335 (define-key calc-mode-map "gA" 'calc-graph-add-3d)
336 (define-key calc-mode-map "gC" 'calc-graph-command)
337 (define-key calc-mode-map "gD" 'calc-graph-device)
338 (define-key calc-mode-map "gF" 'calc-graph-fast-3d)
339 (define-key calc-mode-map "gG" 'calc-argument)
340 (define-key calc-mode-map "gH" 'calc-graph-hide)
341 (define-key calc-mode-map "gK" 'calc-graph-kill)
342 (define-key calc-mode-map "gL" 'calc-graph-log-y)
343 (define-key calc-mode-map "gN" 'calc-graph-num-points)
344 (define-key calc-mode-map "gO" 'calc-graph-output)
345 (define-key calc-mode-map "gP" 'calc-graph-print)
346 (define-key calc-mode-map "gR" 'calc-graph-range-y)
347 (define-key calc-mode-map "gS" 'calc-graph-point-style)
348 (define-key calc-mode-map "gT" 'calc-graph-title-y)
349 (define-key calc-mode-map "gV" 'calc-graph-view-trail)
350 (define-key calc-mode-map "gX" 'calc-graph-geometry)
351 (define-key calc-mode-map "gZ" 'calc-graph-zero-y)
352 (define-key calc-mode-map "g\C-l" 'calc-graph-log-z)
353 (define-key calc-mode-map "g\C-r" 'calc-graph-range-z)
354 (define-key calc-mode-map "g\C-t" 'calc-graph-title-z)
355
356 (define-key calc-mode-map "h" 'calc-help-prefix)
357
358 (define-key calc-mode-map "j" nil)
359 (define-key calc-mode-map "j?" 'calc-j-prefix-help)
360 (define-key calc-mode-map "ja" 'calc-select-additional)
361 (define-key calc-mode-map "jb" 'calc-break-selections)
362 (define-key calc-mode-map "jc" 'calc-clear-selections)
363 (define-key calc-mode-map "jd" 'calc-show-selections)
364 (define-key calc-mode-map "je" 'calc-enable-selections)
365 (define-key calc-mode-map "jl" 'calc-select-less)
366 (define-key calc-mode-map "jm" 'calc-select-more)
367 (define-key calc-mode-map "jn" 'calc-select-next)
368 (define-key calc-mode-map "jo" 'calc-select-once)
369 (define-key calc-mode-map "jp" 'calc-select-previous)
370 (define-key calc-mode-map "jr" 'calc-rewrite-selection)
371 (define-key calc-mode-map "js" 'calc-select-here)
372 (define-key calc-mode-map "jv" 'calc-sel-evaluate)
373 (define-key calc-mode-map "ju" 'calc-unselect)
374 (define-key calc-mode-map "jC" 'calc-sel-commute)
375 (define-key calc-mode-map "jD" 'calc-sel-distribute)
376 (define-key calc-mode-map "jE" 'calc-sel-jump-equals)
377 (define-key calc-mode-map "jI" 'calc-sel-isolate)
378 (define-key calc-mode-map "jJ" 'calc-conj)
379 (define-key calc-mode-map "jL" 'calc-commute-left)
380 (define-key calc-mode-map "jM" 'calc-sel-merge)
381 (define-key calc-mode-map "jN" 'calc-sel-negate)
382 (define-key calc-mode-map "jO" 'calc-select-once-maybe)
383 (define-key calc-mode-map "jR" 'calc-commute-right)
384 (define-key calc-mode-map "jS" 'calc-select-here-maybe)
385 (define-key calc-mode-map "jU" 'calc-sel-unpack)
386 (define-key calc-mode-map "j&" 'calc-sel-invert)
387 (define-key calc-mode-map "j\r" 'calc-copy-selection)
388 (define-key calc-mode-map "j\n" 'calc-copy-selection)
389 (define-key calc-mode-map "j\010" 'calc-del-selection)
390 (define-key calc-mode-map "j\177" 'calc-del-selection)
391 (define-key calc-mode-map "j'" 'calc-enter-selection)
392 (define-key calc-mode-map "j`" 'calc-edit-selection)
393 (define-key calc-mode-map "j+" 'calc-sel-add-both-sides)
394 (define-key calc-mode-map "j-" 'calc-sel-sub-both-sides)
395 (define-key calc-mode-map "j*" 'calc-sel-mult-both-sides)
396 (define-key calc-mode-map "j/" 'calc-sel-div-both-sides)
397 (define-key calc-mode-map "j\"" 'calc-sel-expand-formula)
398
399 (define-key calc-mode-map "k" nil)
400 (define-key calc-mode-map "k?" 'calc-k-prefix-help)
401 (define-key calc-mode-map "ka" 'calc-random-again)
402 (define-key calc-mode-map "kb" 'calc-bernoulli-number)
403 (define-key calc-mode-map "kc" 'calc-choose)
404 (define-key calc-mode-map "kd" 'calc-double-factorial)
405 (define-key calc-mode-map "ke" 'calc-euler-number)
406 (define-key calc-mode-map "kf" 'calc-prime-factors)
407 (define-key calc-mode-map "kg" 'calc-gcd)
408 (define-key calc-mode-map "kh" 'calc-shuffle)
409 (define-key calc-mode-map "kl" 'calc-lcm)
410 (define-key calc-mode-map "km" 'calc-moebius)
411 (define-key calc-mode-map "kn" 'calc-next-prime)
412 (define-key calc-mode-map "kp" 'calc-prime-test)
413 (define-key calc-mode-map "kr" 'calc-random)
414 (define-key calc-mode-map "ks" 'calc-stirling-number)
415 (define-key calc-mode-map "kt" 'calc-totient)
416 (define-key calc-mode-map "kB" 'calc-utpb)
417 (define-key calc-mode-map "kC" 'calc-utpc)
418 (define-key calc-mode-map "kE" 'calc-extended-gcd)
419 (define-key calc-mode-map "kF" 'calc-utpf)
420 (define-key calc-mode-map "kK" 'calc-keep-args)
421 (define-key calc-mode-map "kN" 'calc-utpn)
422 (define-key calc-mode-map "kP" 'calc-utpp)
423 (define-key calc-mode-map "kT" 'calc-utpt)
424
425 (define-key calc-mode-map "m" nil)
426 (define-key calc-mode-map "m?" 'calc-m-prefix-help)
427 (define-key calc-mode-map "ma" 'calc-algebraic-mode)
428 (define-key calc-mode-map "md" 'calc-degrees-mode)
429 (define-key calc-mode-map "me" 'calc-embedded-preserve-modes)
430 (define-key calc-mode-map "mf" 'calc-frac-mode)
431 (define-key calc-mode-map "mg" 'calc-get-modes)
432 (define-key calc-mode-map "mh" 'calc-hms-mode)
433 (define-key calc-mode-map "mi" 'calc-infinite-mode)
434 (define-key calc-mode-map "mm" 'calc-save-modes)
435 (define-key calc-mode-map "mp" 'calc-polar-mode)
436 (define-key calc-mode-map "mr" 'calc-radians-mode)
437 (define-key calc-mode-map "ms" 'calc-symbolic-mode)
438 (define-key calc-mode-map "mt" 'calc-total-algebraic-mode)
439 (define-key calc-mode-map "\emt" 'calc-total-algebraic-mode)
440 (define-key calc-mode-map "\em\et" 'calc-total-algebraic-mode)
441 (define-key calc-mode-map "mv" 'calc-matrix-mode)
442 (define-key calc-mode-map "mw" 'calc-working)
443 (define-key calc-mode-map "mx" 'calc-always-load-extensions)
444 (define-key calc-mode-map "mA" 'calc-alg-simplify-mode)
445 (define-key calc-mode-map "mB" 'calc-bin-simplify-mode)
446 (define-key calc-mode-map "mC" 'calc-auto-recompute)
447 (define-key calc-mode-map "mD" 'calc-default-simplify-mode)
448 (define-key calc-mode-map "mE" 'calc-ext-simplify-mode)
449 (define-key calc-mode-map "mF" 'calc-settings-file-name)
450 (define-key calc-mode-map "mM" 'calc-more-recursion-depth)
451 (define-key calc-mode-map "mN" 'calc-num-simplify-mode)
452 (define-key calc-mode-map "mO" 'calc-no-simplify-mode)
453 (define-key calc-mode-map "mR" 'calc-mode-record-mode)
454 (define-key calc-mode-map "mS" 'calc-shift-prefix)
455 (define-key calc-mode-map "mU" 'calc-units-simplify-mode)
456 (define-key calc-mode-map "mX" 'calc-load-everything)
457
458 (define-key calc-mode-map "r" nil)
459 (define-key calc-mode-map "ri" 'calc-insert-register)
460 (define-key calc-mode-map "rs" 'calc-copy-to-register)
461 (define-key calc-mode-map "r?" 'calc-r-prefix-help)
462
463 (define-key calc-mode-map "s" nil)
464 (define-key calc-mode-map "s?" 'calc-s-prefix-help)
465 (define-key calc-mode-map "sc" 'calc-copy-variable)
466 (define-key calc-mode-map "sd" 'calc-declare-variable)
467 (define-key calc-mode-map "se" 'calc-edit-variable)
468 (define-key calc-mode-map "si" 'calc-insert-variables)
469 (define-key calc-mode-map "sk" 'calc-copy-special-constant)
470 (define-key calc-mode-map "sl" 'calc-let)
471 (define-key calc-mode-map "sm" 'calc-store-map)
472 (define-key calc-mode-map "sn" 'calc-store-neg)
473 (define-key calc-mode-map "sp" 'calc-permanent-variable)
474 (define-key calc-mode-map "sr" 'calc-recall)
475 (define-key calc-mode-map "ss" 'calc-store)
476 (define-key calc-mode-map "st" 'calc-store-into)
477 (define-key calc-mode-map "su" 'calc-unstore)
478 (define-key calc-mode-map "sx" 'calc-store-exchange)
479 (define-key calc-mode-map "sA" 'calc-edit-AlgSimpRules)
480 (define-key calc-mode-map "sD" 'calc-edit-Decls)
481 (define-key calc-mode-map "sE" 'calc-edit-EvalRules)
482 (define-key calc-mode-map "sF" 'calc-edit-FitRules)
483 (define-key calc-mode-map "sG" 'calc-edit-GenCount)
484 (define-key calc-mode-map "sH" 'calc-edit-Holidays)
485 (define-key calc-mode-map "sI" 'calc-edit-IntegLimit)
486 (define-key calc-mode-map "sL" 'calc-edit-LineStyles)
487 (define-key calc-mode-map "sP" 'calc-edit-PointStyles)
488 (define-key calc-mode-map "sR" 'calc-edit-PlotRejects)
489 (define-key calc-mode-map "sS" 'calc-sin)
490 (define-key calc-mode-map "sT" 'calc-edit-TimeZone)
491 (define-key calc-mode-map "sU" 'calc-edit-Units)
492 (define-key calc-mode-map "sX" 'calc-edit-ExtSimpRules)
493 (define-key calc-mode-map "s+" 'calc-store-plus)
494 (define-key calc-mode-map "s-" 'calc-store-minus)
495 (define-key calc-mode-map "s*" 'calc-store-times)
496 (define-key calc-mode-map "s/" 'calc-store-div)
497 (define-key calc-mode-map "s^" 'calc-store-power)
498 (define-key calc-mode-map "s|" 'calc-store-concat)
499 (define-key calc-mode-map "s&" 'calc-store-inv)
500 (define-key calc-mode-map "s[" 'calc-store-decr)
501 (define-key calc-mode-map "s]" 'calc-store-incr)
502 (define-key calc-mode-map "s:" 'calc-assign)
503 (define-key calc-mode-map "s=" 'calc-evalto)
504
505 (define-key calc-mode-map "t" nil)
506 (define-key calc-mode-map "t?" 'calc-t-prefix-help)
507 (define-key calc-mode-map "tb" 'calc-trail-backward)
508 (define-key calc-mode-map "td" 'calc-trail-display)
509 (define-key calc-mode-map "tf" 'calc-trail-forward)
510 (define-key calc-mode-map "th" 'calc-trail-here)
511 (define-key calc-mode-map "ti" 'calc-trail-in)
512 (define-key calc-mode-map "tk" 'calc-trail-kill)
513 (define-key calc-mode-map "tm" 'calc-trail-marker)
514 (define-key calc-mode-map "tn" 'calc-trail-next)
515 (define-key calc-mode-map "to" 'calc-trail-out)
516 (define-key calc-mode-map "tp" 'calc-trail-previous)
517 (define-key calc-mode-map "tr" 'calc-trail-isearch-backward)
518 (define-key calc-mode-map "ts" 'calc-trail-isearch-forward)
519 (define-key calc-mode-map "ty" 'calc-trail-yank)
520 (define-key calc-mode-map "t[" 'calc-trail-first)
521 (define-key calc-mode-map "t]" 'calc-trail-last)
522 (define-key calc-mode-map "t<" 'calc-trail-scroll-left)
523 (define-key calc-mode-map "t>" 'calc-trail-scroll-right)
524 (define-key calc-mode-map "t{" 'calc-trail-backward)
525 (define-key calc-mode-map "t}" 'calc-trail-forward)
526 (define-key calc-mode-map "t." 'calc-full-trail-vectors)
527 (define-key calc-mode-map "tC" 'calc-convert-time-zones)
528 (define-key calc-mode-map "tD" 'calc-date)
529 (define-key calc-mode-map "tI" 'calc-inc-month)
530 (define-key calc-mode-map "tJ" 'calc-julian)
531 (define-key calc-mode-map "tM" 'calc-new-month)
532 (define-key calc-mode-map "tN" 'calc-now)
533 (define-key calc-mode-map "tP" 'calc-date-part)
534 (define-key calc-mode-map "tT" 'calc-tan)
535 (define-key calc-mode-map "tU" 'calc-unix-time)
536 (define-key calc-mode-map "tW" 'calc-new-week)
537 (define-key calc-mode-map "tY" 'calc-new-year)
538 (define-key calc-mode-map "tZ" 'calc-time-zone)
539 (define-key calc-mode-map "t+" 'calc-business-days-plus)
540 (define-key calc-mode-map "t-" 'calc-business-days-minus)
541
542 (define-key calc-mode-map "u" 'nil)
543 (define-key calc-mode-map "u?" 'calc-u-prefix-help)
544 (define-key calc-mode-map "ua" 'calc-autorange-units)
545 (define-key calc-mode-map "ub" 'calc-base-units)
546 (define-key calc-mode-map "uc" 'calc-convert-units)
547 (define-key calc-mode-map "ud" 'calc-define-unit)
548 (define-key calc-mode-map "ue" 'calc-explain-units)
549 (define-key calc-mode-map "ug" 'calc-get-unit-definition)
550 (define-key calc-mode-map "up" 'calc-permanent-units)
551 (define-key calc-mode-map "ur" 'calc-remove-units)
552 (define-key calc-mode-map "us" 'calc-simplify-units)
553 (define-key calc-mode-map "ut" 'calc-convert-temperature)
554 (define-key calc-mode-map "uu" 'calc-undefine-unit)
555 (define-key calc-mode-map "uv" 'calc-enter-units-table)
556 (define-key calc-mode-map "ux" 'calc-extract-units)
557 (define-key calc-mode-map "uV" 'calc-view-units-table)
558 (define-key calc-mode-map "uC" 'calc-vector-covariance)
559 (define-key calc-mode-map "uG" 'calc-vector-geometric-mean)
560 (define-key calc-mode-map "uM" 'calc-vector-mean)
561 (define-key calc-mode-map "uN" 'calc-vector-min)
562 (define-key calc-mode-map "uS" 'calc-vector-sdev)
563 (define-key calc-mode-map "uU" 'calc-undo)
564 (define-key calc-mode-map "uX" 'calc-vector-max)
565 (define-key calc-mode-map "u#" 'calc-vector-count)
566 (define-key calc-mode-map "u+" 'calc-vector-sum)
567 (define-key calc-mode-map "u*" 'calc-vector-product)
568
569 (define-key calc-mode-map "v" 'nil)
570 (define-key calc-mode-map "v?" 'calc-v-prefix-help)
571 (define-key calc-mode-map "va" 'calc-arrange-vector)
572 (define-key calc-mode-map "vb" 'calc-build-vector)
573 (define-key calc-mode-map "vc" 'calc-mcol)
574 (define-key calc-mode-map "vd" 'calc-diag)
575 (define-key calc-mode-map "ve" 'calc-expand-vector)
576 (define-key calc-mode-map "vf" 'calc-vector-find)
577 (define-key calc-mode-map "vh" 'calc-head)
578 (define-key calc-mode-map "vi" 'calc-ident)
579 (define-key calc-mode-map "vk" 'calc-cons)
580 (define-key calc-mode-map "vl" 'calc-vlength)
581 (define-key calc-mode-map "vm" 'calc-mask-vector)
582 (define-key calc-mode-map "vn" 'calc-rnorm)
583 (define-key calc-mode-map "vp" 'calc-pack)
584 (define-key calc-mode-map "vr" 'calc-mrow)
585 (define-key calc-mode-map "vs" 'calc-subvector)
586 (define-key calc-mode-map "vt" 'calc-transpose)
587 (define-key calc-mode-map "vu" 'calc-unpack)
588 (define-key calc-mode-map "vv" 'calc-reverse-vector)
589 (define-key calc-mode-map "vx" 'calc-index)
590 (define-key calc-mode-map "vA" 'calc-apply)
591 (define-key calc-mode-map "vC" 'calc-cross)
592 (define-key calc-mode-map "vK" 'calc-kron)
593 (define-key calc-mode-map "vD" 'calc-mdet)
594 (define-key calc-mode-map "vE" 'calc-set-enumerate)
595 (define-key calc-mode-map "vF" 'calc-set-floor)
596 (define-key calc-mode-map "vG" 'calc-grade)
597 (define-key calc-mode-map "vH" 'calc-histogram)
598 (define-key calc-mode-map "vI" 'calc-inner-product)
599 (define-key calc-mode-map "vJ" 'calc-conj-transpose)
600 (define-key calc-mode-map "vL" 'calc-mlud)
601 (define-key calc-mode-map "vM" 'calc-map)
602 (define-key calc-mode-map "vN" 'calc-cnorm)
603 (define-key calc-mode-map "vO" 'calc-outer-product)
604 (define-key calc-mode-map "vR" 'calc-reduce)
605 (define-key calc-mode-map "vS" 'calc-sort)
606 (define-key calc-mode-map "vT" 'calc-mtrace)
607 (define-key calc-mode-map "vU" 'calc-accumulate)
608 (define-key calc-mode-map "vV" 'calc-set-union)
609 (define-key calc-mode-map "vX" 'calc-set-xor)
610 (define-key calc-mode-map "v^" 'calc-set-intersect)
611 (define-key calc-mode-map "v-" 'calc-set-difference)
612 (define-key calc-mode-map "v~" 'calc-set-complement)
613 (define-key calc-mode-map "v:" 'calc-set-span)
614 (define-key calc-mode-map "v#" 'calc-set-cardinality)
615 (define-key calc-mode-map "v+" 'calc-remove-duplicates)
616 (define-key calc-mode-map "v&" 'calc-inv)
617 (define-key calc-mode-map "v<" 'calc-matrix-left-justify)
618 (define-key calc-mode-map "v=" 'calc-matrix-center-justify)
619 (define-key calc-mode-map "v>" 'calc-matrix-right-justify)
620 (define-key calc-mode-map "v." 'calc-full-vectors)
621 (define-key calc-mode-map "v/" 'calc-break-vectors)
622 (define-key calc-mode-map "v," 'calc-vector-commas)
623 (define-key calc-mode-map "v[" 'calc-vector-brackets)
624 (define-key calc-mode-map "v]" 'calc-matrix-brackets)
625 (define-key calc-mode-map "v{" 'calc-vector-braces)
626 (define-key calc-mode-map "v}" 'calc-matrix-brackets)
627 (define-key calc-mode-map "v(" 'calc-vector-parens)
628 (define-key calc-mode-map "v)" 'calc-matrix-brackets)
629 ;; We can't rely on the automatic upper->lower conversion because
630 ;; in the global map V is explicitly bound, so we need to bind it
631 ;; explicitly as well :-( --stef
632 (define-key calc-mode-map "V" (lookup-key calc-mode-map "v"))
633
634 (define-key calc-mode-map "z" 'nil)
635 (define-key calc-mode-map "z?" 'calc-z-prefix-help)
636
637 (define-key calc-mode-map "Z" 'nil)
638 (define-key calc-mode-map "Z?" 'calc-shift-Z-prefix-help)
639 (define-key calc-mode-map "ZC" 'calc-user-define-composition)
640 (define-key calc-mode-map "ZD" 'calc-user-define)
641 (define-key calc-mode-map "ZE" 'calc-user-define-edit)
642 (define-key calc-mode-map "ZF" 'calc-user-define-formula)
643 (define-key calc-mode-map "ZG" 'calc-get-user-defn)
644 (define-key calc-mode-map "ZI" 'calc-user-define-invocation)
645 (define-key calc-mode-map "ZK" 'calc-user-define-kbd-macro)
646 (define-key calc-mode-map "ZP" 'calc-user-define-permanent)
647 (define-key calc-mode-map "ZS" 'calc-edit-user-syntax)
648 (define-key calc-mode-map "ZT" 'calc-timing)
649 (define-key calc-mode-map "ZU" 'calc-user-undefine)
650 (define-key calc-mode-map "Z[" 'calc-kbd-if)
651 (define-key calc-mode-map "Z:" 'calc-kbd-else)
652 (define-key calc-mode-map "Z|" 'calc-kbd-else-if)
653 (define-key calc-mode-map "Z]" 'calc-kbd-end-if)
654 (define-key calc-mode-map "Z<" 'calc-kbd-repeat)
655 (define-key calc-mode-map "Z>" 'calc-kbd-end-repeat)
656 (define-key calc-mode-map "Z(" 'calc-kbd-for)
657 (define-key calc-mode-map "Z)" 'calc-kbd-end-for)
658 (define-key calc-mode-map "Z{" 'calc-kbd-loop)
659 (define-key calc-mode-map "Z}" 'calc-kbd-end-loop)
660 (define-key calc-mode-map "Z/" 'calc-kbd-break)
661 (define-key calc-mode-map "Z`" 'calc-kbd-push)
662 (define-key calc-mode-map "Z'" 'calc-kbd-pop)
663 (define-key calc-mode-map "Z=" 'calc-kbd-report)
664 (define-key calc-mode-map "Z#" 'calc-kbd-query)
665
666 (calc-init-prefixes)
667
668 (mapc (function
669 (lambda (x)
670 (define-key calc-mode-map (format "c%c" x) 'calc-clean-num)
671 (define-key calc-mode-map (format "j%c" x) 'calc-select-part)
672 (define-key calc-mode-map (format "r%c" x) 'calc-recall-quick)
673 (define-key calc-mode-map (format "s%c" x) 'calc-store-quick)
674 (define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick)
675 (define-key calc-mode-map (format "u%c" x) 'calc-quick-units)))
676 "0123456789")
677
678 (let ((i ?A))
679 (while (<= i ?z)
680 (if (eq (car-safe (aref (nth 1 calc-mode-map) i)) 'keymap)
681 (aset (nth 1 calc-mode-map) i
682 (cons 'keymap (cons (cons ?\e (aref (nth 1 calc-mode-map) i))
683 (cdr (aref (nth 1 calc-mode-map) i))))))
684 (setq i (1+ i))))
685
686 (setq calc-alg-map (copy-keymap calc-mode-map)
687 calc-alg-esc-map (copy-keymap esc-map))
688 (let ((i 32))
689 (while (< i 127)
690 (or (memq i '(?' ?` ?= ??))
691 (aset (nth 1 calc-alg-map) i 'calc-auto-algebraic-entry))
692 (or (memq i '(?# ?x ?0 ?1 ?2 ?3 ?4 ?5 ?6 ?7 ?8 ?9))
693 (aset (nth 1 calc-alg-esc-map) i (aref (nth 1 calc-mode-map) i)))
694 (setq i (1+ i))))
695 (define-key calc-alg-map "\e" calc-alg-esc-map)
696 (define-key calc-alg-map "\e\t" 'calc-roll-up)
697 (define-key calc-alg-map "\e\C-m" 'calc-last-args-stub)
698 (define-key calc-alg-map "\e\177" 'calc-pop-above)
699
700 ;;;; (Autoloads here)
701 (mapc (function (lambda (x)
702 (mapcar (function (lambda (func)
703 (autoload func (car x)))) (cdr x))))
704 '(
705
706 ("calc-alg" calc-has-rules math-defsimplify
707 calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
708 calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
709 calcFunc-simplify calcFunc-subst calcFunc-powerexpand math-beforep
710 math-build-polynomial-expr math-expand-formula math-expr-contains
711 math-expr-contains-count math-expr-depends math-expr-height
712 math-expr-subst math-expr-weight math-integer-plus math-is-linear
713 math-is-multiple math-is-polynomial math-linear-in math-multiple-of
714 math-poly-depends math-poly-mix math-poly-mul
715 math-poly-simplify math-poly-zerop math-polynomial-base
716 math-polynomial-p math-recompile-eval-rules math-simplify
717 math-simplify-exp math-simplify-extended math-simplify-sqrt
718 math-to-simple-fraction)
719
720 ("calcalg2" calcFunc-asum calcFunc-deriv
721 calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly
722 calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots
723 calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor
724 calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12
725 math-integral-rational-funcs math-lcm-denoms math-looks-evenp
726 math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn
727 math-solve-for math-sum-rec math-try-integral)
728
729 ("calcalg3" calcFunc-efit calcFunc-fit
730 calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar
731 calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize
732 calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint
733 calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot
734 calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate
735 math-ninteg-midpoint math-ninteg-romberg math-poly-interp)
736
737 ("calc-arith" calcFunc-abs calcFunc-abssqr
738 calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag
739 calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg
740 calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd
741 calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
742 calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
743 calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
744 calcFunc-idiv calcFunc-incr calcFunc-ldiv calcFunc-mant calcFunc-max calcFunc-min
745 calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
746 calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
747 calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
748 math-add-objects-fancy math-add-or-sub math-add-symb-fancy
749 math-ceiling math-combine-prod math-combine-sum math-div-by-zero
750 math-div-objects-fancy math-div-symb-fancy math-div-zero
751 math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg
752 math-intv-constp math-known-evenp math-known-imagp math-known-integerp
753 math-known-matrixp math-known-negp math-known-nonnegp
754 math-known-nonposp math-known-nonzerop math-known-num-integerp
755 math-known-oddp math-known-posp math-known-realp math-known-scalarp
756 math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy
757 math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy
758 math-neg-float math-okay-neg math-possible-signs math-possible-types
759 math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero
760 math-quarter-integer math-round math-setup-declarations math-sqr
761 math-sqr-float math-trunc-fancy math-trunc-special)
762
763 ("calc-bin" calcFunc-and calcFunc-ash
764 calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or
765 calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip
766 math-compute-max-digits math-convert-radix-digits math-float-parts
767 math-format-bignum-binary math-format-bignum-hex
768 math-format-bignum-octal math-format-bignum-radix math-format-binary
769 math-format-radix math-format-radix-float math-integer-log2
770 math-power-of-2 math-radix-float-power)
771
772 ("calc-comb" calc-report-prime-test
773 calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact
774 calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime
775 calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime
776 calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2
777 calcFunc-totient math-init-random-base math-member math-prime-test
778 math-random-base)
779
780 ("calccomp" calcFunc-cascent calcFunc-cdescent
781 calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent
782 math-comp-height math-comp-width math-compose-expr
783 math-composition-to-string math-stack-value-offset-fancy
784 math-vector-is-string math-vector-to-string)
785
786 ("calc-cplx" calcFunc-arg calcFunc-conj
787 calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex
788 math-fix-circular math-imaginary math-imaginary-i math-normalize-polar
789 math-polar math-want-polar)
790
791 ("calc-embed" calc-do-embedded
792 calc-do-embedded-activate calc-embedded-evaluate-expr
793 calc-embedded-modes-change calc-embedded-var-change
794 calc-embedded-preserve-modes)
795
796 ("calc-fin" calc-to-percentage calcFunc-ddb
797 calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb
798 calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb
799 calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl
800 calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd)
801
802 ("calc-forms" calcFunc-badd calcFunc-bsub
803 calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms
804 calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear
805 calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute
806 calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear
807 calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second
808 calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime
809 calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals
810 math-date-parts math-date-to-dt math-div-mod math-dt-to-date
811 math-format-date math-from-business-day math-from-hms math-make-intv
812 math-make-mod math-make-sdev math-mod-intv math-normalize-hms
813 math-normalize-mod math-parse-date math-read-angle-brackets
814 math-setup-add-holidays math-setup-holidays math-setup-year-holidays
815 math-sort-intv math-to-business-day math-to-hms)
816
817 ("calc-frac" calc-add-fractions
818 calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac
819 math-make-frac)
820
821 ("calc-funcs" calc-prob-dist calcFunc-bern
822 calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB
823 calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler
824 calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ
825 calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf
826 calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc
827 calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt
828 math-bernoulli-number math-gammap1-raw)
829
830 ("calc-graph" calc-graph-show-tty)
831
832 ("calc-incom" calc-digit-dots)
833
834 ("calc-keypd" calc-do-keypad
835 calc-keypad-x-left-click calc-keypad-x-middle-click
836 calc-keypad-x-right-click)
837
838 ("calc-lang" calc-set-language
839 math-read-big-balance math-read-big-rec)
840
841 ("calc-map" calc-get-operator calcFunc-accum
842 calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call
843 calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc
844 calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr
845 calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum
846 calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced
847 calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec
848 calcFunc-rreduced calcFunc-rreducer math-build-call
849 math-calcFunc-to-var math-multi-subst math-multi-subst-rec
850 math-var-to-calcFunc)
851
852 ("calc-mtx" calcFunc-det calcFunc-lud calcFunc-tr
853 math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud
854 math-mul-mat-vec math-mul-mats math-row-matrix)
855
856 ("calc-math" calcFunc-alog calcFunc-arccos
857 calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh
858 calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-csc
859 calcFunc-csch calcFunc-cos calcFunc-cosh calcFunc-cot calcFunc-coth
860 calcFunc-deg calcFunc-exp calcFunc-exp10 calcFunc-expm1
861 calcFunc-hypot calcFunc-ilog calcFunc-isqrt calcFunc-ln calcFunc-lnp1
862 calcFunc-log calcFunc-log10 calcFunc-nroot calcFunc-rad calcFunc-sec
863 calcFunc-sech calcFunc-sin
864 calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan
865 calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw
866 math-arctan2-raw math-cos-raw math-cot-raw math-csc-raw
867 math-exp-minus-1-raw math-exp-raw
868 math-from-radians math-from-radians-2 math-hypot math-infinite-dir
869 math-isqrt-small math-ln-raw math-nearly-equal math-nearly-equal-float
870 math-nearly-zerop math-nearly-zerop-float math-nth-root
871 math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw
872 math-tan-raw math-to-radians math-to-radians-2)
873
874 ("calc-mode" math-get-modes-vec)
875
876 ("calc-poly" calcFunc-apart calcFunc-expand
877 calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat
878 calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide
879 calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim
880 calcFunc-prem math-accum-factors math-atomic-factorp
881 math-div-poly-const math-div-thru math-expand-power math-expand-term
882 math-factor-contains math-factor-expr math-factor-expr-part
883 math-factor-expr-try math-factor-finish math-factor-poly-coefs
884 math-factor-protect math-mul-thru math-padded-polynomial
885 math-partial-fractions math-poly-degree math-poly-deriv-coefs
886 math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p
887 math-to-ratpoly math-to-ratpoly-rec)
888
889 ("calc-prog" calc-default-formula-arglist
890 calc-execute-kbd-macro calc-finish-user-syntax-edit
891 calc-fix-token-name calc-fix-user-formula calc-read-parse-table
892 calc-read-parse-table-part calc-subsetp calc-write-parse-table
893 calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq
894 calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue
895 calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt
896 calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real
897 calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable
898 math-body-refers-to math-break math-composite-inequalities
899 math-do-defmath math-handle-for math-handle-foreach
900 math-normalize-logical-op math-return)
901
902 ("calc-rewr" calcFunc-match calcFunc-matches
903 calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches
904 math-apply-rewrites math-compile-patterns math-compile-rewrites
905 math-flatten-lands math-match-patterns math-rewrite
906 math-rewrite-heads)
907
908 ("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules
909 calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules
910 calc-MergeRules calc-NegateRules
911 calc-compile-rule-set)
912
913 ("calc-sel" calc-auto-selection
914 calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula
915 calc-find-parent-formula calc-find-sub-formula calc-prepare-selection
916 calc-preserve-point calc-replace-selections calc-replace-sub-formula
917 calc-roll-down-with-selections calc-roll-up-with-selections
918 calc-sel-error)
919
920 ("calc-stat" calc-vector-op calcFunc-agmean
921 calcFunc-vcorr calcFunc-vcount calcFunc-vcov calcFunc-vflat
922 calcFunc-vgmean calcFunc-vhmean calcFunc-vmax calcFunc-vmean
923 calcFunc-vmeane calcFunc-vmedian calcFunc-vmin calcFunc-vpcov
924 calcFunc-vprod calcFunc-vpsdev calcFunc-vpvar calcFunc-vsdev
925 calcFunc-vsum calcFunc-vvar math-flatten-many-vecs)
926
927 ("calc-store" calc-read-var-name
928 calc-store-value calc-var-name)
929
930 ("calc-stuff" calc-explain-why calcFunc-clean
931 calcFunc-pclean calcFunc-pfloat calcFunc-pfrac)
932
933 ("calc-units" calcFunc-usimplify
934 math-build-units-table math-build-units-table-buffer
935 math-check-unit-name math-convert-temperature math-convert-units
936 math-extract-units math-remove-units math-simplify-units
937 math-single-units-in-expr-p math-to-standard-units
938 math-units-in-expr-p)
939
940 ("calc-vec" calcFunc-append calcFunc-appendrev
941 calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross
942 calcFunc-kron calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find
943 calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram
944 calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims
945 calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack
946 calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade
947 calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec
948 calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec
949 calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt
950 calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev
951 calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp
952 calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask
953 calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack
954 calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix
955 math-dimension-error math-dot-product math-flatten-vector math-map-vec
956 math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set
957 math-read-brackets math-reduce-cols math-reduce-vec math-transpose)
958
959 ("calc-yank" calc-alg-edit calc-clean-newlines
960 calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit
961 calc-copy-to-register calc-insert-register
962 calc-append-to-register calc-prepend-to-register
963 calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer)
964
965 ))
966
967 (mapcar (function (lambda (x)
968 (mapcar (function (lambda (cmd)
969 (autoload cmd (car x) nil t))) (cdr x))))
970 '(
971
972 ("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
973 calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
974 calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
975 calc-simplify-extended calc-substitute calc-powerexpand)
976
977 ("calcalg2" calc-alt-summation calc-derivative
978 calc-dump-integral-cache calc-integral calc-num-integral
979 calc-poly-roots calc-product calc-solve-for calc-summation
980 calc-tabulate calc-taylor)
981
982 ("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum
983 calc-find-root calc-poly-interp)
984
985 ("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement
986 calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min
987 calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part)
988
989 ("calc-bin" calc-and calc-binary-radix calc-clip calc-twos-complement-mode
990 calc-decimal-radix calc-diff calc-hex-radix calc-leading-zeros
991 calc-lshift-arith calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix
992 calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size
993 calc-xor)
994
995 ("calc-comb" calc-choose calc-double-factorial calc-extended-gcd
996 calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius
997 calc-next-prime calc-perm calc-prev-prime calc-prime-factors
998 calc-prime-test calc-random calc-random-again calc-rrandom
999 calc-shuffle calc-totient)
1000
1001 ("calc-cplx" calc-argument calc-complex-notation calc-i-notation
1002 calc-im calc-j-notation calc-polar calc-polar-mode calc-re)
1003
1004 ("calc-embed" calc-embedded-copy-formula-as-kill
1005 calc-embedded-duplicate calc-embedded-edit calc-embedded-forget
1006 calc-embedded-kill-formula calc-embedded-mark-formula
1007 calc-embedded-new-formula calc-embedded-next calc-embedded-previous
1008 calc-embedded-select calc-embedded-update-formula calc-embedded-word
1009 calc-find-globals calc-show-plain)
1010
1011 ("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv
1012 calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv
1013 calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change)
1014
1015 ("calc-forms" calc-business-days-minus calc-business-days-plus
1016 calc-convert-time-zones calc-date calc-date-notation calc-date-part
1017 calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month
1018 calc-julian calc-new-month calc-new-week calc-new-year calc-now
1019 calc-time calc-time-zone calc-to-hms calc-unix-time)
1020
1021 ("calc-frac" calc-fdiv calc-frac-mode calc-fraction
1022 calc-over-notation calc-slash-notation)
1023
1024 ("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y
1025 calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta
1026 calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf
1027 calc-utpn calc-utpp calc-utpt)
1028
1029 ("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border
1030 calc-graph-clear calc-graph-command calc-graph-delete
1031 calc-graph-device calc-graph-display calc-graph-fast
1032 calc-graph-fast-3d calc-graph-geometry calc-graph-grid
1033 calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key
1034 calc-graph-kill calc-graph-line-style calc-graph-log-x
1035 calc-graph-log-y calc-graph-log-z calc-graph-name
1036 calc-graph-num-points calc-graph-output calc-graph-plot
1037 calc-graph-point-style calc-graph-print calc-graph-quit
1038 calc-graph-range-x calc-graph-range-y calc-graph-range-z
1039 calc-graph-show-dumb calc-graph-title-x calc-graph-title-y
1040 calc-graph-title-z calc-graph-view-commands calc-graph-view-trail
1041 calc-graph-zero-x calc-graph-zero-y)
1042
1043 ("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help
1044 calc-d-prefix-help calc-describe-function calc-describe-key
1045 calc-describe-key-briefly calc-describe-variable calc-f-prefix-help
1046 calc-full-help calc-g-prefix-help calc-help-prefix
1047 calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help calc-option-prefix-help
1048 calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help
1049 calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help
1050 calc-t-prefix-help calc-u-prefix-help calc-v-prefix-help)
1051
1052 ("calc-incom" calc-begin-complex calc-begin-vector calc-comma
1053 calc-dots calc-end-complex calc-end-vector calc-semi)
1054
1055 ("calc-keypd" calc-keypad-menu calc-keypad-menu-back
1056 calc-keypad-press)
1057
1058 ("calc-lang" calc-big-language calc-c-language calc-eqn-language
1059 calc-flat-language calc-fortran-language calc-maple-language
1060 calc-yacas-language calc-maxima-language calc-giac-language
1061 calc-mathematica-language calc-normal-language calc-pascal-language
1062 calc-tex-language calc-latex-language calc-unformatted-language)
1063
1064 ("calc-map" calc-accumulate calc-apply calc-inner-product calc-map
1065 calc-map-equation calc-map-stack calc-outer-product calc-reduce)
1066
1067 ("calc-mtx" calc-mdet calc-mlud calc-mtrace)
1068
1069 ("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh
1070 calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh
1071 calc-cot calc-coth calc-csc calc-csch
1072 calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog
1073 calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10
1074 calc-pi calc-radians-mode calc-sec calc-sech
1075 calc-sin calc-sincos calc-sinh calc-sqrt
1076 calc-tan calc-tanh calc-to-degrees calc-to-radians)
1077
1078 ("calc-mode" calc-alg-simplify-mode calc-algebraic-mode
1079 calc-always-load-extensions calc-auto-recompute calc-auto-why
1080 calc-bin-simplify-mode calc-break-vectors calc-center-justify
1081 calc-default-simplify-mode calc-display-raw calc-eng-notation
1082 calc-ext-simplify-mode calc-fix-notation calc-full-trail-vectors
1083 calc-full-vectors calc-get-modes calc-group-char calc-group-digits
1084 calc-infinite-mode calc-left-justify calc-left-label
1085 calc-line-breaking calc-line-numbering calc-matrix-brackets
1086 calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode
1087 calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode
1088 calc-normal-notation calc-num-simplify-mode calc-point-char
1089 calc-right-justify calc-right-label calc-save-modes calc-sci-notation
1090 calc-settings-file-name calc-shift-prefix calc-symbolic-mode
1091 calc-total-algebraic-mode calc-truncate-down calc-truncate-stack
1092 calc-truncate-up calc-units-simplify-mode calc-vector-braces
1093 calc-vector-brackets calc-vector-commas calc-vector-parens
1094 calc-working)
1095
1096 ("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax
1097 calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
1098 calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if
1099 calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat
1100 calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push
1101 calc-kbd-query calc-kbd-repeat calc-kbd-report calc-less-equal
1102 calc-less-than calc-logical-and calc-logical-if calc-logical-not
1103 calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal
1104 calc-timing calc-user-define calc-user-define-composition
1105 calc-user-define-edit calc-user-define-formula
1106 calc-user-define-invocation calc-user-define-kbd-macro
1107 calc-user-define-permanent calc-user-undefine)
1108
1109 ("calc-rewr" calc-match calc-rewrite calc-rewrite-selection)
1110
1111 ("calc-sel" calc-break-selections calc-clear-selections
1112 calc-copy-selection calc-del-selection calc-edit-selection
1113 calc-enable-selections calc-enter-selection calc-sel-add-both-sides
1114 calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula
1115 calc-sel-mult-both-sides calc-sel-sub-both-sides
1116 calc-select-additional calc-select-here calc-select-here-maybe
1117 calc-select-less calc-select-more calc-select-next calc-select-once
1118 calc-select-once-maybe calc-select-part calc-select-previous
1119 calc-show-selections calc-unselect)
1120
1121 ("calcsel2" calc-commute-left calc-commute-right calc-sel-commute
1122 calc-sel-distribute calc-sel-invert calc-sel-isolate
1123 calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack)
1124
1125 ("calc-stat" calc-vector-correlation calc-vector-count
1126 calc-vector-covariance calc-vector-geometric-mean
1127 calc-vector-harmonic-mean calc-vector-max calc-vector-mean
1128 calc-vector-mean-error calc-vector-median calc-vector-min
1129 calc-vector-pop-covariance calc-vector-pop-sdev
1130 calc-vector-pop-variance calc-vector-product calc-vector-sdev
1131 calc-vector-sum calc-vector-variance)
1132
1133 ("calc-store" calc-assign calc-copy-special-constant
1134 calc-copy-variable calc-declare-variable
1135 calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules
1136 calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount
1137 calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles
1138 calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone
1139 calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables
1140 calc-let calc-permanent-variable calc-recall calc-recall-quick
1141 calc-store calc-store-concat calc-store-decr calc-store-div
1142 calc-store-exchange calc-store-incr calc-store-into
1143 calc-store-into-quick calc-store-inv calc-store-map calc-store-minus
1144 calc-store-neg calc-store-plus calc-store-power calc-store-quick
1145 calc-store-times calc-subscript calc-unstore)
1146
1147 ("calc-stuff" calc-clean calc-clean-num calc-flush-caches
1148 calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix
1149 calc-why)
1150
1151 ("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward
1152 calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward
1153 calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next
1154 calc-trail-out calc-trail-previous calc-trail-scroll-left
1155 calc-trail-scroll-right calc-trail-yank)
1156
1157 ("calc-undo" calc-last-args calc-redo)
1158
1159 ("calc-units" calc-autorange-units calc-base-units
1160 calc-convert-temperature calc-convert-units calc-define-unit
1161 calc-enter-units-table calc-explain-units calc-extract-units
1162 calc-get-unit-definition calc-permanent-units calc-quick-units
1163 calc-remove-units calc-simplify-units calc-undefine-unit
1164 calc-view-units-table)
1165
1166 ("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm
1167 calc-conj-transpose calc-cons calc-cross calc-kron calc-diag
1168 calc-display-strings calc-expand-vector calc-grade calc-head
1169 calc-histogram calc-ident calc-index calc-mask-vector calc-mcol
1170 calc-mrow calc-pack calc-pack-bits calc-remove-duplicates
1171 calc-reverse-vector calc-rnorm calc-set-cardinality
1172 calc-set-complement calc-set-difference calc-set-enumerate
1173 calc-set-floor calc-set-intersect calc-set-span calc-set-union
1174 calc-set-xor calc-sort calc-subvector calc-tail calc-transpose
1175 calc-unpack calc-unpack-bits calc-vector-find calc-vlength)
1176
1177 ("calc-yank" calc-copy-as-kill calc-copy-region-as-kill
1178 calc-copy-to-buffer calc-edit calc-edit-cancel calc-edit-mode
1179 calc-kill calc-kill-region calc-yank))))
1180
1181 (defun calc-init-prefixes ()
1182 (if calc-shift-prefix
1183 (progn
1184 (define-key calc-mode-map "A" (lookup-key calc-mode-map "a"))
1185 (define-key calc-mode-map "B" (lookup-key calc-mode-map "b"))
1186 (define-key calc-mode-map "C" (lookup-key calc-mode-map "c"))
1187 (define-key calc-mode-map "D" (lookup-key calc-mode-map "d"))
1188 (define-key calc-mode-map "F" (lookup-key calc-mode-map "f"))
1189 (define-key calc-mode-map "G" (lookup-key calc-mode-map "g"))
1190 (define-key calc-mode-map "J" (lookup-key calc-mode-map "j"))
1191 (define-key calc-mode-map "K" (lookup-key calc-mode-map "k"))
1192 (define-key calc-mode-map "M" (lookup-key calc-mode-map "m"))
1193 (define-key calc-mode-map "S" (lookup-key calc-mode-map "s"))
1194 (define-key calc-mode-map "T" (lookup-key calc-mode-map "t"))
1195 (define-key calc-mode-map "U" (lookup-key calc-mode-map "u")))
1196 (define-key calc-mode-map "A" 'calc-abs)
1197 (define-key calc-mode-map "B" 'calc-log)
1198 (define-key calc-mode-map "C" 'calc-cos)
1199 (define-key calc-mode-map "D" 'calc-redo)
1200 (define-key calc-mode-map "F" 'calc-floor)
1201 (define-key calc-mode-map "G" 'calc-argument)
1202 (define-key calc-mode-map "J" 'calc-conj)
1203 (define-key calc-mode-map "K" 'calc-keep-args)
1204 (define-key calc-mode-map "M" 'calc-more-recursion-depth)
1205 (define-key calc-mode-map "S" 'calc-sin)
1206 (define-key calc-mode-map "T" 'calc-tan)
1207 (define-key calc-mode-map "U" 'calc-undo)))
1208
1209 (calc-init-extensions)
1210
1211
1212
1213
1214 ;;;; Miscellaneous.
1215
1216 ;; calc-command-flags is declared in calc.el
1217 (defvar calc-command-flags)
1218
1219 (defun calc-clear-command-flag (f)
1220 (setq calc-command-flags (delq f calc-command-flags)))
1221
1222
1223 (defun calc-record-message (tag &rest args)
1224 (let ((msg (apply 'format args)))
1225 (message "%s" msg)
1226 (calc-record msg tag))
1227 (calc-clear-command-flag 'clear-message))
1228
1229
1230 (defun calc-normalize-fancy (val)
1231 (let ((simp (if (consp calc-simplify-mode)
1232 (car calc-simplify-mode)
1233 calc-simplify-mode)))
1234 (cond ((eq simp 'binary)
1235 (let ((s (math-normalize val)))
1236 (if (math-realp s)
1237 (math-clip (math-round s))
1238 s)))
1239 ((eq simp 'alg)
1240 (math-simplify val))
1241 ((eq simp 'ext)
1242 (math-simplify-extended val))
1243 ((eq simp 'units)
1244 (math-simplify-units val))
1245 (t ; nil, none, num
1246 (math-normalize val)))))
1247
1248
1249 (defvar calc-help-map nil)
1250
1251 (if calc-help-map
1252 nil
1253 (setq calc-help-map (make-keymap))
1254 (define-key calc-help-map "b" 'calc-describe-bindings)
1255 (define-key calc-help-map "c" 'calc-describe-key-briefly)
1256 (define-key calc-help-map "f" 'calc-describe-function)
1257 (define-key calc-help-map "h" 'calc-full-help)
1258 (define-key calc-help-map "i" 'calc-info)
1259 (define-key calc-help-map "k" 'calc-describe-key)
1260 (define-key calc-help-map "n" 'calc-view-news)
1261 (define-key calc-help-map "s" 'calc-info-summary)
1262 (define-key calc-help-map "t" 'calc-tutorial)
1263 (define-key calc-help-map "v" 'calc-describe-variable)
1264 (define-key calc-help-map "\C-c" 'calc-describe-copying)
1265 (define-key calc-help-map "\C-d" 'calc-describe-distribution)
1266 (define-key calc-help-map "\C-n" 'calc-view-news)
1267 (define-key calc-help-map "\C-w" 'calc-describe-no-warranty)
1268 (define-key calc-help-map "?" 'calc-help-for-help)
1269 (define-key calc-help-map "\C-h" 'calc-help-for-help))
1270
1271 (defvar calc-prefix-help-phase 0)
1272 (defun calc-do-prefix-help (msgs group key)
1273 (if calc-full-help-flag
1274 (list msgs group key)
1275 (if (cdr msgs)
1276 (progn
1277 (setq calc-prefix-help-phase
1278 (if (eq this-command last-command)
1279 (% (1+ calc-prefix-help-phase) (1+ (length msgs)))
1280 0))
1281 (let ((msg (nth calc-prefix-help-phase msgs)))
1282 (message "%s" (if msg
1283 (concat group ": " msg ":"
1284 (make-string
1285 (- (apply 'max (mapcar 'length msgs))
1286 (length msg)) 32)
1287 " [MORE]"
1288 (if key
1289 (concat " " (char-to-string key)
1290 "-")
1291 ""))
1292 (if key (format "%c-" key) "")))))
1293 (setq calc-prefix-help-phase 0)
1294 (if key
1295 (if msgs
1296 (message "%s: %s: %c-" group (car msgs) key)
1297 (message "%s: (none) %c-" group key))
1298 (message "%s: %s" group (car msgs))))
1299 (and key (calc-unread-command key))))
1300
1301 ;;;; Commands.
1302
1303
1304 ;;; General.
1305
1306 (defun calc-reset (arg)
1307 (interactive "P")
1308 (setq arg (if arg (prefix-numeric-value arg) nil))
1309 (cond
1310 ((and
1311 calc-embedded-info
1312 (equal (aref calc-embedded-info 0) (current-buffer))
1313 (<= (point) (aref calc-embedded-info 5))
1314 (>= (point) (aref calc-embedded-info 4)))
1315 (let ((cbuf (aref calc-embedded-info 1))
1316 (calc-embedded-quiet t))
1317 (save-window-excursion
1318 (calc-embedded nil)
1319 (set-buffer cbuf)
1320 (calc-reset arg))
1321 (calc-embedded nil)))
1322 ((eq major-mode 'calc-mode)
1323 (save-excursion
1324 (unless (and arg (> (abs arg) 0))
1325 (setq calc-stack nil))
1326 (setq calc-undo-list nil
1327 calc-redo-list nil)
1328 (let (calc-stack calc-user-parse-tables calc-standard-date-formats
1329 calc-invocation-macro)
1330 (mapc (function (lambda (v) (set v nil))) calc-local-var-list)
1331 (if (and arg (<= arg 0))
1332 (calc-mode-var-list-restore-default-values)
1333 (calc-mode-var-list-restore-saved-values)))
1334 (calc-set-language nil nil t)
1335 (calc-mode)
1336 (calc-flush-caches t)
1337 (run-hooks 'calc-reset-hook))
1338 (calc-wrapper
1339 (let ((win (get-buffer-window (current-buffer))))
1340 (calc-realign 0)
1341 ;; Adjust the window height if the window is visible, but doesn't
1342 ;; take up the whole height of the frame.
1343 (if (and
1344 win
1345 (not (window-full-height-p)))
1346 (let ((height (- (window-height win) 2)))
1347 (set-window-point win (point))
1348 (or (= height calc-window-height)
1349 (let ((swin (selected-window)))
1350 (select-window win)
1351 (enlarge-window (- calc-window-height height))
1352 (select-window swin)))))))
1353 (message "(Calculator reset)"))
1354 (t
1355 (message "(Not inside a Calc buffer)"))))
1356
1357 ;; What a pain; scroll-left behaves differently when called non-interactively.
1358 (defun calc-scroll-left (n)
1359 (interactive "P")
1360 (setq prefix-arg (or n (/ (window-width) 2)))
1361 (call-interactively #'scroll-left))
1362
1363 (defun calc-scroll-right (n)
1364 (interactive "P")
1365 (setq prefix-arg (or n (/ (window-width) 2)))
1366 (call-interactively #'scroll-right))
1367
1368 (defun calc-scroll-up (n)
1369 (interactive "P")
1370 (condition-case err
1371 (scroll-up (or n (/ (window-height) 2)))
1372 (error nil))
1373 (if (pos-visible-in-window-p (max 1 (- (point-max) 2)))
1374 (if (eq major-mode 'calc-mode)
1375 (calc-realign)
1376 (goto-char (point-max))
1377 (set-window-start (selected-window)
1378 (save-excursion
1379 (forward-line (- (1- (window-height))))
1380 (point)))
1381 (forward-line -1))))
1382
1383 (defun calc-scroll-down (n)
1384 (interactive "P")
1385 (or (pos-visible-in-window-p 1)
1386 (scroll-down (or n (/ (window-height) 2)))))
1387
1388
1389 (defun calc-precision (n)
1390 (interactive "NPrecision: ")
1391 (calc-wrapper
1392 (if (< (prefix-numeric-value n) 3)
1393 (error "Precision must be at least 3 digits")
1394 (calc-change-mode 'calc-internal-prec (prefix-numeric-value n)
1395 (and (memq (car calc-float-format) '(float sci eng))
1396 (< (nth 1 calc-float-format)
1397 (if (= calc-number-radix 10) 0 1))))
1398 (calc-record calc-internal-prec "prec"))
1399 (message "Floating-point precision is %d digits" calc-internal-prec)))
1400
1401
1402 (defun calc-inverse (&optional n)
1403 (interactive "P")
1404 (let* ((hyp-flag (if (or
1405 (eq major-mode 'calc-keypad-mode)
1406 (eq major-mode 'calc-trail-mode))
1407 (with-current-buffer calc-main-buffer
1408 calc-hyperbolic-flag)
1409 calc-hyperbolic-flag))
1410 (opt-flag (if (or
1411 (eq major-mode 'calc-keypad-mode)
1412 (eq major-mode 'calc-trail-mode))
1413 (with-current-buffer calc-main-buffer
1414 calc-option-flag)
1415 calc-option-flag))
1416 (msg
1417 (cond
1418 ((and opt-flag hyp-flag) "Option Inverse Hyperbolic...")
1419 (hyp-flag "Inverse Hyperbolic...")
1420 (opt-flag "Option Inverse...")
1421 (t "Inverse..."))))
1422 (calc-fancy-prefix 'calc-inverse-flag msg n)))
1423
1424 (defconst calc-fancy-prefix-map
1425 (let ((map (make-sparse-keymap)))
1426 (define-key map [t] 'calc-fancy-prefix-other-key)
1427 (define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key)
1428 (define-key map [switch-frame] nil)
1429 (define-key map [?\C-u] 'universal-argument)
1430 (define-key map [?0] 'digit-argument)
1431 (define-key map [?1] 'digit-argument)
1432 (define-key map [?2] 'digit-argument)
1433 (define-key map [?3] 'digit-argument)
1434 (define-key map [?4] 'digit-argument)
1435 (define-key map [?5] 'digit-argument)
1436 (define-key map [?6] 'digit-argument)
1437 (define-key map [?7] 'digit-argument)
1438 (define-key map [?8] 'digit-argument)
1439 (define-key map [?9] 'digit-argument)
1440 map)
1441 "Keymap used while processing calc-fancy-prefix.")
1442
1443 (defvar calc-is-keypad-press nil)
1444 (defun calc-fancy-prefix (flag msg n)
1445 (let (prefix)
1446 (calc-wrapper
1447 (calc-set-command-flag 'keep-flags)
1448 (calc-set-command-flag 'no-align)
1449 (setq prefix (set flag (not (symbol-value flag)))
1450 prefix-arg n)
1451 (message "%s" (if prefix msg "")))
1452 (and prefix
1453 (not calc-is-keypad-press)
1454 (if (boundp 'overriding-terminal-local-map)
1455 (setq overriding-terminal-local-map calc-fancy-prefix-map)
1456 (let ((event (calc-read-key t)))
1457 (if (eq (setq last-command-event (car event)) ?\C-u)
1458 (universal-argument)
1459 (if (or (not (integerp last-command-event))
1460 (and (>= last-command-event 0) (< last-command-event ? )
1461 (not (memq last-command-event '(?\e)))))
1462 (calc-wrapper)) ; clear flags if not a Calc command.
1463 (setq last-command-event (cdr event))
1464 (if (or (not (integerp last-command-event))
1465 (eq last-command-event ?-))
1466 (calc-unread-command)
1467 (digit-argument n))))))))
1468
1469 (defun calc-fancy-prefix-other-key (arg)
1470 (interactive "P")
1471 (if (and
1472 (not (eq last-command-event 'tab))
1473 (not (eq last-command-event 'M-tab))
1474 (or (not (integerp last-command-event))
1475 (and (>= last-command-event 0) (< last-command-event ? )
1476 (not (eq last-command-event meta-prefix-char)))))
1477 (calc-wrapper)) ; clear flags if not a Calc command.
1478 (setq prefix-arg arg)
1479 (calc-unread-command)
1480 (setq overriding-terminal-local-map nil))
1481
1482 (defun calc-invert-func ()
1483 (save-excursion
1484 (calc-select-buffer)
1485 (setq calc-inverse-flag (not (calc-is-inverse))
1486 calc-hyperbolic-flag (calc-is-hyperbolic)
1487 current-prefix-arg nil)))
1488
1489 (defun calc-is-inverse ()
1490 calc-inverse-flag)
1491
1492 (defun calc-hyperbolic (&optional n)
1493 (interactive "P")
1494 (let* ((inv-flag (if (or
1495 (eq major-mode 'calc-keypad-mode)
1496 (eq major-mode 'calc-trail-mode))
1497 (with-current-buffer calc-main-buffer
1498 calc-inverse-flag)
1499 calc-inverse-flag))
1500 (opt-flag (if (or
1501 (eq major-mode 'calc-keypad-mode)
1502 (eq major-mode 'calc-trail-mode))
1503 (with-current-buffer calc-main-buffer
1504 calc-option-flag)
1505 calc-option-flag))
1506 (msg
1507 (cond
1508 ((and opt-flag inv-flag) "Option Inverse Hyperbolic...")
1509 (opt-flag "Option Hyperbolic...")
1510 (inv-flag "Inverse Hyperbolic...")
1511 (t "Hyperbolic..."))))
1512 (calc-fancy-prefix 'calc-hyperbolic-flag msg n)))
1513
1514 (defun calc-hyperbolic-func ()
1515 (save-excursion
1516 (calc-select-buffer)
1517 (setq calc-inverse-flag (calc-is-inverse)
1518 calc-hyperbolic-flag (not (calc-is-hyperbolic))
1519 current-prefix-arg nil)))
1520
1521 (defun calc-is-hyperbolic ()
1522 calc-hyperbolic-flag)
1523
1524 (defun calc-option (&optional n)
1525 (interactive "P")
1526 (let* ((inv-flag (if (or
1527 (eq major-mode 'calc-keypad-mode)
1528 (eq major-mode 'calc-trail-mode))
1529 (with-current-buffer calc-main-buffer
1530 calc-inverse-flag)
1531 calc-inverse-flag))
1532 (hyp-flag (if (or
1533 (eq major-mode 'calc-keypad-mode)
1534 (eq major-mode 'calc-trail-mode))
1535 (with-current-buffer calc-main-buffer
1536 calc-hyperbolic-flag)
1537 calc-hyperbolic-flag))
1538 (msg
1539 (cond
1540 ((and hyp-flag inv-flag) "Option Inverse Hyperbolic...")
1541 (hyp-flag "Option Hyperbolic...")
1542 (inv-flag "Option Inverse...")
1543 (t "Option..."))))
1544 (calc-fancy-prefix 'calc-option-flag msg n)))
1545
1546 (defun calc-is-option ()
1547 calc-option-flag)
1548
1549 (defun calc-keep-args (&optional n)
1550 (interactive "P")
1551 (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
1552
1553
1554 (defun calc-change-mode (var value &optional refresh option)
1555 (if option
1556 (setq value (if value
1557 (> (prefix-numeric-value value) 0)
1558 (not (symbol-value var)))))
1559 (or (consp var) (setq var (list var) value (list value)))
1560 (if calc-inverse-flag
1561 (let ((old nil))
1562 (or refresh (error "Not a display-mode command"))
1563 (calc-check-stack 1)
1564 (unwind-protect
1565 (let ((v var))
1566 (while v
1567 (setq old (cons (symbol-value (car v)) old))
1568 (set (car v) (car value))
1569 (setq v (cdr v)
1570 value (cdr value)))
1571 (calc-refresh-top 1)
1572 (calc-refresh-evaltos)
1573 (symbol-value (car var)))
1574 (let ((v var))
1575 (setq old (nreverse old))
1576 (while v
1577 (set (car v) (car old))
1578 (setq v (cdr v)
1579 old (cdr old)))
1580 (if (eq (car var) 'calc-language)
1581 (calc-set-language calc-language calc-language-option t)))))
1582 (let ((chg nil)
1583 (v var))
1584 (while v
1585 (or (equal (symbol-value (car v)) (car value))
1586 (progn
1587 (set (car v) (car value))
1588 (if (eq (car v) 'calc-float-format)
1589 (setq calc-full-float-format
1590 (list (if (eq (car (car value)) 'fix)
1591 'float
1592 (car (car value)))
1593 0)))
1594 (setq chg t)))
1595 (setq v (cdr v)
1596 value (cdr value)))
1597 (if chg
1598 (progn
1599 (or (and refresh (calc-do-refresh))
1600 (calc-refresh-evaltos))
1601 (and (eq calc-mode-save-mode 'save)
1602 (not (equal var '(calc-mode-save-mode)))
1603 (calc-save-modes))))
1604 (if calc-embedded-info (calc-embedded-modes-change var))
1605 (symbol-value (car var)))))
1606
1607 (defun calc-toggle-banner ()
1608 "Toggle display of the friendly greeting calc normally shows above the stack."
1609 (interactive)
1610 (setq calc-show-banner (not calc-show-banner))
1611 (calc-refresh))
1612
1613 (defun calc-refresh-top (n)
1614 (interactive "p")
1615 (calc-wrapper
1616 (cond ((< n 0)
1617 (setq n (- n))
1618 (let ((entry (calc-top n 'entry))
1619 (calc-undo-list nil) (calc-redo-list nil))
1620 (calc-pop-stack 1 n t)
1621 (calc-push-list (list (car entry)) n (list (nth 2 entry)))))
1622 ((= n 0)
1623 (calc-refresh))
1624 (t
1625 (let ((entries (calc-top-list n 1 'entry))
1626 (calc-undo-list nil) (calc-redo-list nil))
1627 (calc-pop-stack n 1 t)
1628 (calc-push-list (mapcar 'car entries)
1629 1
1630 (mapcar (function (lambda (x) (nth 2 x)))
1631 entries)))))))
1632
1633 (defvar calc-refreshing-evaltos nil)
1634 (defvar calc-no-refresh-evaltos nil)
1635 (defun calc-refresh-evaltos (&optional which-var)
1636 (and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos)
1637 (let ((calc-refreshing-evaltos t)
1638 (num (calc-stack-size))
1639 (calc-undo-list nil) (calc-redo-list nil)
1640 value new-val)
1641 (while (> num 0)
1642 (setq value (calc-top num 'entry))
1643 (if (and (not (nth 2 value))
1644 (setq value (car value))
1645 (or (eq (car-safe value) 'calcFunc-evalto)
1646 (and (eq (car-safe value) 'vec)
1647 (eq (car-safe (nth 1 value)) 'calcFunc-evalto))))
1648 (progn
1649 (setq new-val (math-normalize value))
1650 (or (equal new-val value)
1651 (progn
1652 (calc-push-list (list new-val) num)
1653 (calc-pop-stack 1 (1+ num) t)))))
1654 (setq num (1- num)))))
1655 (and calc-embedded-active which-var
1656 (calc-embedded-var-change which-var)))
1657
1658 (defun calc-push (&rest vals)
1659 (calc-push-list vals))
1660
1661 (defun calc-pop-push (n &rest vals)
1662 (calc-pop-push-list n vals))
1663
1664 (defun calc-pop-push-record (n prefix &rest vals)
1665 (calc-pop-push-record-list n prefix vals))
1666
1667
1668 (defun calc-evaluate (n)
1669 (interactive "p")
1670 (calc-slow-wrapper
1671 (if (= n 0)
1672 (setq n (calc-stack-size)))
1673 (calc-with-default-simplification
1674 (if (< n 0)
1675 (calc-pop-push-record-list 1 "eval"
1676 (math-evaluate-expr (calc-top (- n)))
1677 (- n))
1678 (calc-pop-push-record-list n "eval" (mapcar 'math-evaluate-expr
1679 (calc-top-list n)))))
1680 (calc-handle-whys)))
1681
1682
1683 (defun calc-eval-num (n)
1684 (interactive "P")
1685 (calc-slow-wrapper
1686 (let* ((nn (prefix-numeric-value n))
1687 (calc-internal-prec (cond ((>= nn 3) nn)
1688 ((< nn 0) (max (+ calc-internal-prec nn)
1689 3))
1690 (t calc-internal-prec)))
1691 (calc-symbolic-mode nil))
1692 (calc-with-default-simplification
1693 (calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1)))))
1694 (calc-handle-whys)))
1695
1696
1697 (defvar calc-extended-command-history nil
1698 "The history list for calc-execute-extended-command.")
1699
1700 (defun calc-execute-extended-command (n)
1701 (interactive "P")
1702 (let* ((prompt (concat (calc-num-prefix-name n) "M-x "))
1703 (cmd (intern
1704 (completing-read prompt obarray 'commandp t "calc-"
1705 'calc-extended-command-history))))
1706 (setq prefix-arg n)
1707 (command-execute cmd)))
1708
1709
1710 (defun calc-realign (&optional num)
1711 (interactive "P")
1712 (if (and num (eq major-mode 'calc-mode))
1713 (progn
1714 (calc-check-stack num)
1715 (calc-cursor-stack-index num)
1716 (and calc-line-numbering
1717 (forward-char 4)))
1718 (if (and calc-embedded-info
1719 (eq (current-buffer) (aref calc-embedded-info 0)))
1720 (progn
1721 (goto-char (aref calc-embedded-info 2))
1722 (if (with-current-buffer (aref calc-embedded-info 1)
1723 calc-show-plain)
1724 (forward-line 1)))
1725 (calc-wrapper
1726 (if (get-buffer-window (current-buffer))
1727 (set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
1728
1729 (defvar math-cache-list nil)
1730
1731 (defun calc-var-value (v)
1732 (and (symbolp v)
1733 (boundp v)
1734 (symbol-value v)
1735 (if (symbolp (symbol-value v))
1736 (set v (funcall (symbol-value v)))
1737 (if (stringp (symbol-value v))
1738 (let ((val (math-read-expr (symbol-value v))))
1739 (if (eq (car-safe val) 'error)
1740 (error "Bad format in variable contents: %s" (nth 2 val))
1741 (set v val)))
1742 (symbol-value v)))))
1743
1744 ;;; In the following table, ( OP LOPS ROPS ) means that if an OP
1745 ;;; term appears as the first argument to any LOPS term, or as the
1746 ;;; second argument to any ROPS term, then they should be treated
1747 ;;; as one large term for purposes of associative selection.
1748 (defconst calc-assoc-ops '( ( + ( + - ) ( + ) )
1749 ( - ( + - ) ( + ) )
1750 ( * ( * ) ( * ) )
1751 ( / ( / ) ( ) )
1752 ( | ( | ) ( | ) )
1753 ( calcFunc-land ( calcFunc-land )
1754 ( calcFunc-land ) )
1755 ( calcFunc-lor ( calcFunc-lor )
1756 ( calcFunc-lor ) ) ))
1757
1758
1759 (defvar var-CommuteRules 'calc-CommuteRules)
1760 (defvar var-JumpRules 'calc-JumpRules)
1761 (defvar var-DistribRules 'calc-DistribRules)
1762 (defvar var-MergeRules 'calc-MergeRules)
1763 (defvar var-NegateRules 'calc-NegateRules)
1764 (defvar var-InvertRules 'calc-InvertRules)
1765
1766
1767 (defconst calc-tweak-eqn-table '( ( calcFunc-eq calcFunc-eq calcFunc-neq )
1768 ( calcFunc-neq calcFunc-neq calcFunc-eq )
1769 ( calcFunc-lt calcFunc-gt calcFunc-geq )
1770 ( calcFunc-gt calcFunc-lt calcFunc-leq )
1771 ( calcFunc-leq calcFunc-geq calcFunc-gt )
1772 ( calcFunc-geq calcFunc-leq calcFunc-lt ) ))
1773
1774
1775
1776
1777 (defun calc-float (arg)
1778 (interactive "P")
1779 (calc-slow-wrapper
1780 (calc-unary-op "flt"
1781 (if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat)
1782 arg)))
1783
1784
1785 (defvar calc-gnuplot-process nil)
1786 (defvar calc-gnuplot-input)
1787 (defvar calc-gnuplot-buffer)
1788
1789 (defun calc-gnuplot-alive ()
1790 (and calc-gnuplot-process
1791 calc-gnuplot-buffer
1792 (buffer-name calc-gnuplot-buffer)
1793 calc-gnuplot-input
1794 (buffer-name calc-gnuplot-input)
1795 (memq (process-status calc-gnuplot-process) '(run stop))))
1796
1797
1798
1799
1800
1801 (defun calc-load-everything ()
1802 (interactive)
1803 (require 'calc-aent)
1804 (require 'calc-alg)
1805 (require 'calc-arith)
1806 (require 'calc-bin)
1807 (require 'calc-comb)
1808 (require 'calc-cplx)
1809 (require 'calc-embed)
1810 (require 'calc-fin)
1811 (require 'calc-forms)
1812 (require 'calc-frac)
1813 (require 'calc-funcs)
1814 (require 'calc-graph)
1815 (require 'calc-help)
1816 (require 'calc-incom)
1817 (require 'calc-keypd)
1818 (require 'calc-lang)
1819 (require 'calc-macs)
1820 (require 'calc-map)
1821 (require 'calc-math)
1822 (require 'calc-misc)
1823 (require 'calc-mode)
1824 (require 'calc-mtx)
1825 (require 'calc-poly)
1826 (require 'calc-prog)
1827 (require 'calc-rewr)
1828 (require 'calc-rules)
1829 (require 'calc-sel)
1830 (require 'calc-stat)
1831 (require 'calc-store)
1832 (require 'calc-stuff)
1833 (require 'calc-trail)
1834 (require 'calc-undo)
1835 (require 'calc-units)
1836 (require 'calc-vec)
1837 (require 'calc-yank)
1838 (require 'calcalg2)
1839 (require 'calcalg3)
1840 (require 'calccomp)
1841 (require 'calcsel2)
1842
1843 (message "All parts of Calc are now loaded"))
1844
1845
1846 ;;; Vector commands.
1847
1848 (defun calc-concat (arg)
1849 (interactive "P")
1850 (calc-wrapper
1851 (if (calc-is-inverse)
1852 (if (calc-is-hyperbolic)
1853 (calc-enter-result 2 "apnd" (list 'calcFunc-append
1854 (calc-top 1) (calc-top 2)))
1855 (calc-enter-result 2 "|" (list 'calcFunc-vconcat
1856 (calc-top 1) (calc-top 2))))
1857 (if (calc-is-hyperbolic)
1858 (calc-binary-op "apnd" 'calcFunc-append arg '(vec))
1859 (calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|)))))
1860
1861 (defun calc-append (arg)
1862 (interactive "P")
1863 (calc-hyperbolic-func)
1864 (calc-concat arg))
1865
1866
1867 (defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB )
1868 ( var ArgC var-ArgC ) ( var ArgD var-ArgD )
1869 ( var ArgE var-ArgE ) ( var ArgF var-ArgF )
1870 ( var ArgG var-ArgG ) ( var ArgH var-ArgH )
1871 ( var ArgI var-ArgI ) ( var ArgJ var-ArgJ )
1872 ))
1873
1874 (defun calc-invent-args (n)
1875 (nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values))))
1876
1877
1878
1879
1880 ;;; User menu.
1881
1882 (defun calc-user-key-map ()
1883 (if (featurep 'xemacs)
1884 (error "User-defined keys are not supported in XEmacs"))
1885 (let ((res (cdr (lookup-key calc-mode-map "z"))))
1886 (if (eq (car (car res)) 27)
1887 (cdr res)
1888 res)))
1889
1890 (defvar calc-z-prefix-buf nil)
1891 (defvar calc-z-prefix-msgs nil)
1892
1893 (defun calc-z-prefix-help ()
1894 (interactive)
1895 (let* ((calc-z-prefix-msgs nil)
1896 (calc-z-prefix-buf "")
1897 (kmap (sort (copy-sequence (calc-user-key-map))
1898 (function (lambda (x y) (< (car x) (car y))))))
1899 (flags (apply 'logior
1900 (mapcar (function
1901 (lambda (k)
1902 (calc-user-function-classify (car k))))
1903 kmap))))
1904 (if (= (logand flags 8) 0)
1905 (calc-user-function-list kmap 7)
1906 (calc-user-function-list kmap 1)
1907 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)
1908 calc-z-prefix-buf "")
1909 (calc-user-function-list kmap 6))
1910 (if (/= flags 0)
1911 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)))
1912 (calc-do-prefix-help (nreverse calc-z-prefix-msgs) "user" ?z)))
1913
1914 (defun calc-user-function-classify (key)
1915 (cond ((/= key (downcase key)) ; upper-case
1916 (if (assq (downcase key) (calc-user-key-map)) 9 1))
1917 ((/= key (upcase key)) 2) ; lower-case
1918 ((= key ??) 0)
1919 (t 4))) ; other
1920
1921 (defun calc-user-function-list (map flags)
1922 (and map
1923 (let* ((key (car (car map)))
1924 (kind (calc-user-function-classify key))
1925 (func (cdr (car map))))
1926 (if (or (= (logand kind flags) 0)
1927 (not (symbolp func)))
1928 ()
1929 (let* ((name (symbol-name func))
1930 (name (if (string-match "\\`calc-" name)
1931 (substring name 5) name))
1932 (pos (string-match (char-to-string key) name))
1933 (desc
1934 (if (symbolp func)
1935 (if (= (logand kind 3) 0)
1936 (format "`%c' = %s" key name)
1937 (if pos
1938 (format "%s%c%s"
1939 (downcase (substring name 0 pos))
1940 (upcase key)
1941 (downcase (substring name (1+ pos))))
1942 (format "%c = %s"
1943 (upcase key)
1944 (downcase name))))
1945 (char-to-string (upcase key)))))
1946 (if (= (length calc-z-prefix-buf) 0)
1947 (setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1948 desc))
1949 (if (> (+ (length calc-z-prefix-buf) (length desc)) 58)
1950 (setq calc-z-prefix-msgs
1951 (cons calc-z-prefix-buf calc-z-prefix-msgs)
1952 calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1953 desc))
1954 (setq calc-z-prefix-buf (concat calc-z-prefix-buf ", " desc))))))
1955 (calc-user-function-list (cdr map) flags))))
1956
1957
1958
1959 (defun calc-shift-Z-prefix-help ()
1960 (interactive)
1961 (calc-do-prefix-help
1962 '("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn"
1963 "Composition, Syntax; Invocation; Permanent; Timing"
1964 "kbd-macros: [ (if), : (else), | (else-if), ] (end-if)"
1965 "kbd-macros: < > (repeat), ( ) (for), { } (loop)"
1966 "kbd-macros: / (break)"
1967 "kbd-macros: ` (save), ' (restore)")
1968 "user" ?Z))
1969
1970
1971 ;;;; Caches.
1972
1973 (defmacro math-defcache (name init form)
1974 (let ((cache-prec (intern (concat (symbol-name name) "-cache-prec")))
1975 (cache-val (intern (concat (symbol-name name) "-cache")))
1976 (last-prec (intern (concat (symbol-name name) "-last-prec")))
1977 (last-val (intern (concat (symbol-name name) "-last"))))
1978 (list 'progn
1979 ; (list 'defvar cache-prec (if init (math-numdigs (nth 1 init)) -100))
1980 (list 'defvar cache-prec
1981 `(cond
1982 ((consp ,init) (math-numdigs (nth 1 ,init)))
1983 (,init
1984 (nth 1 (math-numdigs (eval ,init))))
1985 (t
1986 -100)))
1987 (list 'defvar cache-val
1988 `(cond
1989 ((consp ,init) ,init)
1990 (,init (eval ,init))
1991 (t ,init)))
1992 (list 'defvar last-prec -100)
1993 (list 'defvar last-val nil)
1994 (list 'setq 'math-cache-list
1995 (list 'cons
1996 (list 'quote cache-prec)
1997 (list 'cons
1998 (list 'quote last-prec)
1999 'math-cache-list)))
2000 (list 'defun
2001 name ()
2002 (list 'or
2003 (list '= last-prec 'calc-internal-prec)
2004 (list 'setq
2005 last-val
2006 (list 'math-normalize
2007 (list 'progn
2008 (list 'or
2009 (list '>= cache-prec
2010 'calc-internal-prec)
2011 (list 'setq
2012 cache-val
2013 (list 'let
2014 '((calc-internal-prec
2015 (+ calc-internal-prec
2016 4)))
2017 form)
2018 cache-prec
2019 '(+ calc-internal-prec 2)))
2020 cache-val))
2021 last-prec 'calc-internal-prec))
2022 last-val))))
2023 (put 'math-defcache 'lisp-indent-hook 2)
2024
2025 ;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public]
2026 (defconst math-approx-pi
2027 (math-read-number-simple "3.141592653589793238463")
2028 "An approximation for pi.")
2029
2030 (math-defcache math-pi math-approx-pi
2031 (math-add-float (math-mul-float '(float 16 0)
2032 (math-arctan-raw '(float 2 -1)))
2033 (math-mul-float '(float -4 0)
2034 (math-arctan-raw
2035 (math-float '(frac 1 239))))))
2036
2037 (math-defcache math-two-pi nil
2038 (math-mul-float (math-pi) '(float 2 0)))
2039
2040 (math-defcache math-pi-over-2 nil
2041 (math-mul-float (math-pi) '(float 5 -1)))
2042
2043 (math-defcache math-pi-over-4 nil
2044 (math-mul-float (math-pi) '(float 25 -2)))
2045
2046 (math-defcache math-pi-over-180 nil
2047 (math-div-float (math-pi) '(float 18 1)))
2048
2049 (math-defcache math-sqrt-pi nil
2050 (math-sqrt-float (math-pi)))
2051
2052 (math-defcache math-sqrt-2 nil
2053 (math-sqrt-float '(float 2 0)))
2054
2055 (math-defcache math-sqrt-12 nil
2056 (math-sqrt-float '(float 12 0)))
2057
2058 (math-defcache math-sqrt-two-pi nil
2059 (math-sqrt-float (math-two-pi)))
2060
2061 (defconst math-approx-sqrt-e
2062 (math-read-number-simple "1.648721270700128146849")
2063 "An approximation for sqrt(3).")
2064
2065 (math-defcache math-sqrt-e math-approx-sqrt-e
2066 (math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
2067
2068 (math-defcache math-e nil
2069 (math-pow (math-sqrt-e) 2))
2070
2071 (math-defcache math-phi nil
2072 (math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
2073 '(float 5 -1)))
2074
2075 (defconst math-approx-gamma-const
2076 (math-read-number-simple
2077 "0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495")
2078 "An approximation for gamma.")
2079
2080 (math-defcache math-gamma-const nil
2081 math-approx-gamma-const)
2082
2083 (defun math-half-circle (symb)
2084 (if (eq calc-angle-mode 'rad)
2085 (if symb
2086 '(var pi var-pi)
2087 (math-pi))
2088 180))
2089
2090 (defun math-full-circle (symb)
2091 (math-mul 2 (math-half-circle symb)))
2092
2093 (defun math-quarter-circle (symb)
2094 (math-div (math-half-circle symb) 2))
2095
2096 (defvar math-expand-formulas nil)
2097
2098 ;;;; Miscellaneous math routines.
2099
2100 ;;; True if A is an odd integer. [P R R] [Public]
2101 (defun math-oddp (a)
2102 (if (consp a)
2103 (and (memq (car a) '(bigpos bigneg))
2104 (= (% (nth 1 a) 2) 1))
2105 (/= (% a 2) 0)))
2106
2107 ;;; True if A is a small or big integer. [P x] [Public]
2108 (defun math-integerp (a)
2109 (or (integerp a)
2110 (memq (car-safe a) '(bigpos bigneg))))
2111
2112 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2113 (defun math-natnump (a)
2114 (or (natnump a)
2115 (eq (car-safe a) 'bigpos)))
2116
2117 ;;; True if A is a rational (or integer). [P x] [Public]
2118 (defun math-ratp (a)
2119 (or (integerp a)
2120 (memq (car-safe a) '(bigpos bigneg frac))))
2121
2122 ;;; True if A is a real (or rational). [P x] [Public]
2123 (defun math-realp (a)
2124 (or (integerp a)
2125 (memq (car-safe a) '(bigpos bigneg frac float))))
2126
2127 ;;; True if A is a real or HMS form. [P x] [Public]
2128 (defun math-anglep (a)
2129 (or (integerp a)
2130 (memq (car-safe a) '(bigpos bigneg frac float hms))))
2131
2132 ;;; True if A is a number of any kind. [P x] [Public]
2133 (defun math-numberp (a)
2134 (or (integerp a)
2135 (memq (car-safe a) '(bigpos bigneg frac float cplx polar))))
2136
2137 ;;; True if A is a complex number or angle. [P x] [Public]
2138 (defun math-scalarp (a)
2139 (or (integerp a)
2140 (memq (car-safe a) '(bigpos bigneg frac float cplx polar hms))))
2141
2142 ;;; True if A is a vector. [P x] [Public]
2143 (defun math-vectorp (a)
2144 (eq (car-safe a) 'vec))
2145
2146 ;;; True if A is any vector or scalar data object. [P x]
2147 (defun math-objvecp (a) ; [Public]
2148 (or (integerp a)
2149 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2150 hms date sdev intv mod vec incomplete))))
2151
2152 ;;; True if A is an object not composed of sub-formulas . [P x] [Public]
2153 (defun math-primp (a)
2154 (or (integerp a)
2155 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2156 hms date mod var))))
2157
2158 ;;; True if A is numerically (but not literally) an integer. [P x] [Public]
2159 (defun math-messy-integerp (a)
2160 (cond
2161 ((eq (car-safe a) 'float) (>= (nth 2 a) 0))
2162 ((eq (car-safe a) 'frac) (Math-integerp (math-normalize a)))))
2163
2164 ;;; True if A is numerically an integer. [P x] [Public]
2165 (defun math-num-integerp (a)
2166 (or (Math-integerp a)
2167 (Math-messy-integerp a)))
2168
2169 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2170 (defun math-num-natnump (a)
2171 (or (natnump a)
2172 (eq (car-safe a) 'bigpos)
2173 (and (eq (car-safe a) 'float)
2174 (Math-natnump (nth 1 a))
2175 (>= (nth 2 a) 0))))
2176
2177 ;;; True if A is an integer or will evaluate to an integer. [P x] [Public]
2178 (defun math-provably-integerp (a)
2179 (or (Math-integerp a)
2180 (and (memq (car-safe a) '(calcFunc-trunc
2181 calcFunc-round
2182 calcFunc-rounde
2183 calcFunc-roundu
2184 calcFunc-floor
2185 calcFunc-ceil))
2186 (= (length a) 2))))
2187
2188 ;;; True if A is a real or will evaluate to a real. [P x] [Public]
2189 (defun math-provably-realp (a)
2190 (or (Math-realp a)
2191 (math-provably-integerp a)
2192 (memq (car-safe a) '(abs arg))))
2193
2194 ;;; True if A is a non-real, complex number. [P x] [Public]
2195 (defun math-complexp (a)
2196 (memq (car-safe a) '(cplx polar)))
2197
2198 ;;; True if A is a non-real, rectangular complex number. [P x] [Public]
2199 (defun math-rect-complexp (a)
2200 (eq (car-safe a) 'cplx))
2201
2202 ;;; True if A is a non-real, polar complex number. [P x] [Public]
2203 (defun math-polar-complexp (a)
2204 (eq (car-safe a) 'polar))
2205
2206 ;;; True if A is a matrix. [P x] [Public]
2207 (defun math-matrixp (a)
2208 (and (Math-vectorp a)
2209 (Math-vectorp (nth 1 a))
2210 (cdr (nth 1 a))
2211 (let ((len (length (nth 1 a))))
2212 (setq a (cdr a))
2213 (while (and (setq a (cdr a))
2214 (Math-vectorp (car a))
2215 (= (length (car a)) len)))
2216 (null a))))
2217
2218 (defun math-matrixp-step (a len) ; [P L]
2219 (or (null a)
2220 (and (Math-vectorp (car a))
2221 (= (length (car a)) len)
2222 (math-matrixp-step (cdr a) len))))
2223
2224 ;;; True if A is a square matrix. [P V] [Public]
2225 (defun math-square-matrixp (a)
2226 (let ((dims (math-mat-dimens a)))
2227 (and (cdr dims)
2228 (= (car dims) (nth 1 dims)))))
2229
2230 ;;; True if MAT is an identity matrix.
2231 (defun math-identity-matrix-p (mat &optional mul)
2232 (if (math-square-matrixp mat)
2233 (let ((a (if mul
2234 (nth 1 (nth 1 mat))
2235 1))
2236 (n (1- (length mat)))
2237 (i 1))
2238 (while (and (<= i n)
2239 (math-ident-row-p (nth i mat) i a))
2240 (setq i (1+ i)))
2241 (if (> i n)
2242 a
2243 nil))))
2244
2245 (defun math-ident-row-p (row n &optional a)
2246 (unless a
2247 (setq a 1))
2248 (and
2249 (not (memq nil (mapcar
2250 (lambda (x) (eq x 0))
2251 (nthcdr (1+ n) row))))
2252 (not (memq nil (mapcar
2253 (lambda (x) (eq x 0))
2254 (butlast
2255 (cdr row)
2256 (- (length row) n)))))
2257 (eq (elt row n) a)))
2258
2259 ;;; True if A is any scalar data object. [P x]
2260 (defun math-objectp (a) ; [Public]
2261 (or (integerp a)
2262 (memq (car-safe a) '(bigpos bigneg frac float cplx
2263 polar hms date sdev intv mod))))
2264
2265 ;;; Verify that A is an integer and return A in integer form. [I N; - x]
2266 (defun math-check-integer (a) ; [Public]
2267 (cond ((integerp a) a) ; for speed
2268 ((math-integerp a) a)
2269 ((math-messy-integerp a)
2270 (math-trunc a))
2271 (t (math-reject-arg a 'integerp))))
2272
2273 ;;; Verify that A is a small integer and return A in integer form. [S N; - x]
2274 (defun math-check-fixnum (a &optional allow-inf) ; [Public]
2275 (cond ((integerp a) a) ; for speed
2276 ((Math-num-integerp a)
2277 (let ((a (math-trunc a)))
2278 (if (integerp a)
2279 a
2280 (if (or (Math-lessp (lsh -1 -1) a)
2281 (Math-lessp a (- (lsh -1 -1))))
2282 (math-reject-arg a 'fixnump)
2283 (math-fixnum a)))))
2284 ((and allow-inf (equal a '(var inf var-inf)))
2285 (lsh -1 -1))
2286 ((and allow-inf (equal a '(neg (var inf var-inf))))
2287 (- (lsh -1 -1)))
2288 (t (math-reject-arg a 'fixnump))))
2289
2290 ;;; Verify that A is an integer >= 0 and return A in integer form. [I N; - x]
2291 (defun math-check-natnum (a) ; [Public]
2292 (cond ((natnump a) a)
2293 ((and (not (math-negp a))
2294 (Math-num-integerp a))
2295 (math-trunc a))
2296 (t (math-reject-arg a 'natnump))))
2297
2298 ;;; Verify that A is in floating-point form, or force it to be a float. [F N]
2299 (defun math-check-float (a) ; [Public]
2300 (cond ((eq (car-safe a) 'float) a)
2301 ((Math-vectorp a) (math-map-vec 'math-check-float a))
2302 ((Math-objectp a) (math-float a))
2303 (t a)))
2304
2305 ;;; Verify that A is a constant.
2306 (defun math-check-const (a &optional exp-ok)
2307 (if (or (math-constp a)
2308 (and exp-ok math-expand-formulas))
2309 a
2310 (math-reject-arg a 'constp)))
2311
2312 ;;; Some functions for working with error forms.
2313 (defun math-get-value (x)
2314 "Get the mean value of the error form X.
2315 If X is not an error form, return X."
2316 (if (eq (car-safe x) 'sdev)
2317 (nth 1 x)
2318 x))
2319
2320 (defun math-get-sdev (x &optional one)
2321 "Get the standard deviation of the error form X.
2322 If X is not an error form, return 1."
2323 (if (eq (car-safe x) 'sdev)
2324 (nth 2 x)
2325 (if one 1 0)))
2326
2327 (defun math-contains-sdev-p (ls)
2328 "Non-nil if the list LS contains an error form."
2329 (let ((ls (if (eq (car-safe ls) 'vec) (cdr ls) ls)))
2330 (memq t (mapcar (lambda (x) (eq (car-safe x) 'sdev)) ls))))
2331
2332 ;;; Coerce integer A to be a small integer. [S I]
2333 (defun math-fixnum (a)
2334 (if (consp a)
2335 (if (cdr a)
2336 (if (eq (car a) 'bigneg)
2337 (- (math-fixnum-big (cdr a)))
2338 (math-fixnum-big (cdr a)))
2339 0)
2340 a))
2341
2342 (defun math-fixnum-big (a)
2343 (if (cdr a)
2344 (+ (car a) (* (math-fixnum-big (cdr a)) math-bignum-digit-size))
2345 (car a)))
2346
2347 (defvar math-simplify-only nil)
2348
2349 (defun math-normalize-fancy (a)
2350 (cond ((eq (car a) 'frac)
2351 (math-make-frac (math-normalize (nth 1 a))
2352 (math-normalize (nth 2 a))))
2353 ((eq (car a) 'cplx)
2354 (let ((real (math-normalize (nth 1 a)))
2355 (imag (math-normalize (nth 2 a))))
2356 (if (and (math-zerop imag)
2357 (not math-simplify-only)) ; oh, what a kludge!
2358 real
2359 (list 'cplx real imag))))
2360 ((eq (car a) 'polar)
2361 (math-normalize-polar a))
2362 ((eq (car a) 'hms)
2363 (math-normalize-hms a))
2364 ((eq (car a) 'date)
2365 (list 'date (math-normalize (nth 1 a))))
2366 ((eq (car a) 'mod)
2367 (math-normalize-mod a))
2368 ((eq (car a) 'sdev)
2369 (let ((x (math-normalize (nth 1 a)))
2370 (s (math-normalize (nth 2 a))))
2371 (if (or (and (Math-objectp x) (not (Math-scalarp x)))
2372 (and (Math-objectp s) (not (Math-scalarp s))))
2373 (list 'calcFunc-sdev x s)
2374 (math-make-sdev x s))))
2375 ((eq (car a) 'intv)
2376 (let ((mask (math-normalize (nth 1 a)))
2377 (lo (math-normalize (nth 2 a)))
2378 (hi (math-normalize (nth 3 a))))
2379 (if (if (eq (car-safe lo) 'date)
2380 (not (eq (car-safe hi) 'date))
2381 (or (and (Math-objectp lo) (not (Math-anglep lo)))
2382 (and (Math-objectp hi) (not (Math-anglep hi)))))
2383 (list 'calcFunc-intv mask lo hi)
2384 (math-make-intv mask lo hi))))
2385 ((eq (car a) 'vec)
2386 (cons 'vec (mapcar 'math-normalize (cdr a))))
2387 ((eq (car a) 'quote)
2388 (math-normalize (nth 1 a)))
2389 ((eq (car a) 'special-const)
2390 (calc-with-default-simplification
2391 (math-normalize (nth 1 a))))
2392 ((eq (car a) 'var)
2393 (cons 'var (cdr a))) ; need to re-cons for selection routines
2394 ((eq (car a) 'calcFunc-if)
2395 (math-normalize-logical-op a))
2396 ((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition))
2397 (let ((calc-simplify-mode 'none))
2398 (cons (car a) (mapcar 'math-normalize (cdr a)))))
2399 ((eq (car a) 'calcFunc-evalto)
2400 (setq a (or (nth 1 a) 0))
2401 (or calc-refreshing-evaltos
2402 (setq a (let ((calc-simplify-mode 'none)) (math-normalize a))))
2403 (let ((b (if (and (eq (car-safe a) 'calcFunc-assign)
2404 (= (length a) 3))
2405 (nth 2 a)
2406 a)))
2407 (list 'calcFunc-evalto
2408 a
2409 (if (eq calc-simplify-mode 'none)
2410 (math-normalize b)
2411 (calc-with-default-simplification
2412 (math-evaluate-expr b))))))
2413 ((or (integerp (car a)) (consp (car a)))
2414 (if (null (cdr a))
2415 (math-normalize (car a))
2416 (error "Can't use multi-valued function in an expression")))))
2417
2418 ;; The variable math-normalize-a is local to math-normalize in calc.el,
2419 ;; but is used by math-normalize-nonstandard, which is called by
2420 ;; math-normalize.
2421 (defvar math-normalize-a)
2422
2423 (defun math-normalize-nonstandard ()
2424 (if (consp calc-simplify-mode)
2425 (progn
2426 (setq calc-simplify-mode 'none
2427 math-simplify-only (car-safe (cdr-safe math-normalize-a)))
2428 nil)
2429 (and (symbolp (car math-normalize-a))
2430 (or (eq calc-simplify-mode 'none)
2431 (and (eq calc-simplify-mode 'num)
2432 (let ((aptr (setq math-normalize-a
2433 (cons
2434 (car math-normalize-a)
2435 (mapcar 'math-normalize
2436 (cdr math-normalize-a))))))
2437 (while (and aptr (math-constp (car aptr)))
2438 (setq aptr (cdr aptr)))
2439 aptr)))
2440 (cons (car math-normalize-a)
2441 (mapcar 'math-normalize (cdr math-normalize-a))))))
2442
2443
2444 ;;; Normalize a bignum digit list by trimming high-end zeros. [L l]
2445 (defun math-norm-bignum (a)
2446 (let ((digs a) (last nil))
2447 (while digs
2448 (or (eq (car digs) 0) (setq last digs))
2449 (setq digs (cdr digs)))
2450 (and last
2451 (progn
2452 (setcdr last nil)
2453 a))))
2454
2455 (defun math-bignum-test (a) ; [B N; B s; b b]
2456 (if (consp a)
2457 a
2458 (math-bignum a)))
2459
2460
2461 ;;; Return 0 for zero, -1 for negative, 1 for positive. [S n] [Public]
2462 (defun calcFunc-sign (a &optional x)
2463 (let ((signs (math-possible-signs a)))
2464 (cond ((eq signs 4) (or x 1))
2465 ((eq signs 2) 0)
2466 ((eq signs 1) (if x (math-neg x) -1))
2467 ((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a))))
2468 (t (calc-record-why 'realp a)
2469 (if x
2470 (list 'calcFunc-sign a x)
2471 (list 'calcFunc-sign a))))))
2472
2473 ;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more.
2474 ;;; Arguments must be normalized! [S N N]
2475 (defun math-compare (a b)
2476 (cond ((equal a b)
2477 (if (and (consp a)
2478 (memq (car a) '(var neg * /))
2479 (math-infinitep a))
2480 2
2481 0))
2482 ((and (integerp a) (Math-integerp b))
2483 (if (consp b)
2484 (if (eq (car b) 'bigpos) -1 1)
2485 (if (< a b) -1 1)))
2486 ((and (eq (car-safe a) 'bigpos) (Math-integerp b))
2487 (if (eq (car-safe b) 'bigpos)
2488 (math-compare-bignum (cdr a) (cdr b))
2489 1))
2490 ((and (eq (car-safe a) 'bigneg) (Math-integerp b))
2491 (if (eq (car-safe b) 'bigneg)
2492 (math-compare-bignum (cdr b) (cdr a))
2493 -1))
2494 ((eq (car-safe a) 'frac)
2495 (if (eq (car-safe b) 'frac)
2496 (math-compare (math-mul (nth 1 a) (nth 2 b))
2497 (math-mul (nth 1 b) (nth 2 a)))
2498 (math-compare (nth 1 a) (math-mul b (nth 2 a)))))
2499 ((eq (car-safe b) 'frac)
2500 (math-compare (math-mul a (nth 2 b)) (nth 1 b)))
2501 ((and (eq (car-safe a) 'float) (eq (car-safe b) 'float))
2502 (if (math-lessp-float a b) -1 1))
2503 ((and (eq (car-safe a) 'date) (eq (car-safe b) 'date))
2504 (math-compare (nth 1 a) (nth 1 b)))
2505 ((and (or (Math-anglep a)
2506 (and (eq (car a) 'cplx) (eq (nth 2 a) 0)))
2507 (or (Math-anglep b)
2508 (and (eq (car b) 'cplx) (eq (nth 2 b) 0))))
2509 (calcFunc-sign (math-add a (math-neg b))))
2510 ((and (eq (car-safe a) 'intv)
2511 (or (Math-anglep b) (eq (car-safe b) 'date)))
2512 (let ((res (math-compare (nth 2 a) b)))
2513 (cond ((eq res 1) 1)
2514 ((and (eq res 0) (memq (nth 1 a) '(0 1))) 1)
2515 ((eq (setq res (math-compare (nth 3 a) b)) -1) -1)
2516 ((and (eq res 0) (memq (nth 1 a) '(0 2))) -1)
2517 (t 2))))
2518 ((and (eq (car-safe b) 'intv)
2519 (or (Math-anglep a) (eq (car-safe a) 'date)))
2520 (let ((res (math-compare a (nth 2 b))))
2521 (cond ((eq res -1) -1)
2522 ((and (eq res 0) (memq (nth 1 b) '(0 1))) -1)
2523 ((eq (setq res (math-compare a (nth 3 b))) 1) 1)
2524 ((and (eq res 0) (memq (nth 1 b) '(0 2))) 1)
2525 (t 2))))
2526 ((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv))
2527 (let ((res (math-compare (nth 3 a) (nth 2 b))))
2528 (cond ((eq res -1) -1)
2529 ((and (eq res 0) (or (memq (nth 1 a) '(0 2))
2530 (memq (nth 1 b) '(0 1)))) -1)
2531 ((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1)
2532 ((and (eq res 0) (or (memq (nth 1 a) '(0 1))
2533 (memq (nth 1 b) '(0 2)))) 1)
2534 (t 2))))
2535 ((math-infinitep a)
2536 (if (or (equal a '(var uinf var-uinf))
2537 (equal a '(var nan var-nan)))
2538 2
2539 (let ((dira (math-infinite-dir a)))
2540 (if (math-infinitep b)
2541 (if (or (equal b '(var uinf var-uinf))
2542 (equal b '(var nan var-nan)))
2543 2
2544 (let ((dirb (math-infinite-dir b)))
2545 (cond ((and (eq dira 1) (eq dirb -1)) 1)
2546 ((and (eq dira -1) (eq dirb 1)) -1)
2547 (t 2))))
2548 (cond ((eq dira 1) 1)
2549 ((eq dira -1) -1)
2550 (t 2))))))
2551 ((math-infinitep b)
2552 (if (or (equal b '(var uinf var-uinf))
2553 (equal b '(var nan var-nan)))
2554 2
2555 (let ((dirb (math-infinite-dir b)))
2556 (cond ((eq dirb 1) -1)
2557 ((eq dirb -1) 1)
2558 (t 2)))))
2559 ((and (eq (car-safe a) 'calcFunc-exp)
2560 (eq (car-safe b) '^)
2561 (equal (nth 1 b) '(var e var-e)))
2562 (math-compare (nth 1 a) (nth 2 b)))
2563 ((and (eq (car-safe b) 'calcFunc-exp)
2564 (eq (car-safe a) '^)
2565 (equal (nth 1 a) '(var e var-e)))
2566 (math-compare (nth 2 a) (nth 1 b)))
2567 ((or (and (eq (car-safe a) 'calcFunc-sqrt)
2568 (eq (car-safe b) '^)
2569 (or (equal (nth 2 b) '(frac 1 2))
2570 (equal (nth 2 b) '(float 5 -1))))
2571 (and (eq (car-safe b) 'calcFunc-sqrt)
2572 (eq (car-safe a) '^)
2573 (or (equal (nth 2 a) '(frac 1 2))
2574 (equal (nth 2 a) '(float 5 -1)))))
2575 (math-compare (nth 1 a) (nth 1 b)))
2576 ((eq (car-safe a) 'var)
2577 2)
2578 (t
2579 (if (and (consp a) (consp b)
2580 (eq (car a) (car b))
2581 (math-compare-lists (cdr a) (cdr b)))
2582 0
2583 2))))
2584
2585 ;;; Compare two bignum digit lists, return -1 for A<B, 0 for A=B, 1 for A>B.
2586 (defun math-compare-bignum (a b) ; [S l l]
2587 (let ((res 0))
2588 (while (and a b)
2589 (if (< (car a) (car b))
2590 (setq res -1)
2591 (if (> (car a) (car b))
2592 (setq res 1)))
2593 (setq a (cdr a)
2594 b (cdr b)))
2595 (if a
2596 (progn
2597 (while (eq (car a) 0) (setq a (cdr a)))
2598 (if a 1 res))
2599 (while (eq (car b) 0) (setq b (cdr b)))
2600 (if b -1 res))))
2601
2602 (defun math-compare-lists (a b)
2603 (cond ((null a) (null b))
2604 ((null b) nil)
2605 (t (and (Math-equal (car a) (car b))
2606 (math-compare-lists (cdr a) (cdr b))))))
2607
2608 (defun math-lessp-float (a b) ; [P F F]
2609 (let ((ediff (- (nth 2 a) (nth 2 b))))
2610 (if (>= ediff 0)
2611 (if (>= ediff (+ calc-internal-prec calc-internal-prec))
2612 (if (eq (nth 1 a) 0)
2613 (Math-integer-posp (nth 1 b))
2614 (Math-integer-negp (nth 1 a)))
2615 (Math-lessp (math-scale-int (nth 1 a) ediff)
2616 (nth 1 b)))
2617 (if (>= (setq ediff (- ediff))
2618 (+ calc-internal-prec calc-internal-prec))
2619 (if (eq (nth 1 b) 0)
2620 (Math-integer-negp (nth 1 a))
2621 (Math-integer-posp (nth 1 b)))
2622 (Math-lessp (nth 1 a)
2623 (math-scale-int (nth 1 b) ediff))))))
2624
2625 ;;; True if A is numerically equal to B. [P N N] [Public]
2626 (defun math-equal (a b)
2627 (= (math-compare a b) 0))
2628
2629 ;;; True if A is numerically less than B. [P R R] [Public]
2630 (defun math-lessp (a b)
2631 (= (math-compare a b) -1))
2632
2633 ;;; True if A is numerically equal to the integer B. [P N S] [Public]
2634 ;;; B must not be a multiple of 10.
2635 (defun math-equal-int (a b)
2636 (or (eq a b)
2637 (and (eq (car-safe a) 'float)
2638 (eq (nth 1 a) b)
2639 (= (nth 2 a) 0))))
2640
2641
2642
2643
2644 ;;; Return the dimensions of a matrix as a list. [l x] [Public]
2645 (defun math-mat-dimens (m)
2646 (if (math-vectorp m)
2647 (if (math-matrixp m)
2648 (cons (1- (length m))
2649 (math-mat-dimens (nth 1 m)))
2650 (list (1- (length m))))
2651 nil))
2652
2653
2654
2655 (defun calc-binary-op-fancy (name func arg ident unary)
2656 (let ((n (prefix-numeric-value arg)))
2657 (cond ((> n 1)
2658 (calc-enter-result n
2659 name
2660 (list 'calcFunc-reduce
2661 (math-calcFunc-to-var func)
2662 (cons 'vec (calc-top-list-n n)))))
2663 ((= n 1)
2664 (if unary
2665 (calc-enter-result 1 name (list unary (calc-top-n 1)))))
2666 ((= n 0)
2667 (if ident
2668 (calc-enter-result 0 name ident)
2669 (error "Argument must be nonzero")))
2670 (t
2671 (let ((rhs (calc-top-n 1)))
2672 (calc-enter-result (- 1 n)
2673 name
2674 (mapcar (function
2675 (lambda (x)
2676 (list func x rhs)))
2677 (calc-top-list-n (- n) 2))))))))
2678
2679 (defun calc-unary-op-fancy (name func arg)
2680 (let ((n (prefix-numeric-value arg)))
2681 (if (= n 0) (setq n (calc-stack-size)))
2682 (cond ((> n 0)
2683 (calc-enter-result n
2684 name
2685 (mapcar (function
2686 (lambda (x)
2687 (list func x)))
2688 (calc-top-list-n n))))
2689 ((< n 0)
2690 (calc-enter-result 1
2691 name
2692 (list func (calc-top-n (- n)))
2693 (- n))))))
2694
2695 (defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun)))
2696 (defvar var-Decls (list 'vec))
2697
2698
2699 (defun math-inexact-result ()
2700 (and calc-symbolic-mode
2701 (signal 'inexact-result nil)))
2702
2703 (defun math-overflow (&optional exp)
2704 (if (and exp (math-negp exp))
2705 (math-underflow)
2706 (signal 'math-overflow nil)))
2707
2708 (defun math-underflow ()
2709 (signal 'math-underflow nil))
2710
2711 ;;; Compute the greatest common divisor of A and B. [I I I] [Public]
2712 (defun math-gcd (a b)
2713 (cond ((not (or (consp a) (consp b)))
2714 (if (< a 0) (setq a (- a)))
2715 (if (< b 0) (setq b (- b)))
2716 (let (c)
2717 (if (< a b)
2718 (setq c b b a a c))
2719 (while (> b 0)
2720 (setq c b
2721 b (% a b)
2722 a c))
2723 a))
2724 ((eq a 0) b)
2725 ((eq b 0) a)
2726 (t
2727 (if (Math-integer-negp a) (setq a (math-neg a)))
2728 (if (Math-integer-negp b) (setq b (math-neg b)))
2729 (let (c)
2730 (if (Math-natnum-lessp a b)
2731 (setq c b b a a c))
2732 (while (and (consp a) (not (eq b 0)))
2733 (setq c b
2734 b (math-imod a b)
2735 a c))
2736 (while (> b 0)
2737 (setq c b
2738 b (% a b)
2739 a c))
2740 a))))
2741
2742
2743 ;;;; Algebra.
2744
2745 ;;; Evaluate variables in an expression.
2746 (defun math-evaluate-expr (x) ; [Public]
2747 (if calc-embedded-info
2748 (calc-embedded-evaluate-expr x)
2749 (calc-normalize (math-evaluate-expr-rec x))))
2750
2751 (defalias 'calcFunc-evalv 'math-evaluate-expr)
2752
2753 (defun calcFunc-evalvn (x &optional prec)
2754 (if prec
2755 (progn
2756 (or (math-num-integerp prec)
2757 (if (and (math-vectorp prec)
2758 (= (length prec) 2)
2759 (math-num-integerp (nth 1 prec)))
2760 (setq prec (math-add (nth 1 prec) calc-internal-prec))
2761 (math-reject-arg prec 'integerp)))
2762 (setq prec (math-trunc prec))
2763 (if (< prec 3) (setq prec 3))
2764 (if (> prec calc-internal-prec)
2765 (math-normalize
2766 (let ((calc-internal-prec prec))
2767 (calcFunc-evalvn x)))
2768 (let ((calc-internal-prec prec))
2769 (calcFunc-evalvn x))))
2770 (let ((calc-symbolic-mode nil))
2771 (math-evaluate-expr x))))
2772
2773 (defun math-evaluate-expr-rec (x)
2774 (if (consp x)
2775 (if (memq (car x) '(calcFunc-quote calcFunc-condition
2776 calcFunc-evalto calcFunc-assign))
2777 (if (and (eq (car x) 'calcFunc-assign)
2778 (= (length x) 3))
2779 (list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x)))
2780 x)
2781 (if (eq (car x) 'var)
2782 (if (and (calc-var-value (nth 2 x))
2783 (not (eq (car-safe (symbol-value (nth 2 x)))
2784 'incomplete)))
2785 (let ((val (symbol-value (nth 2 x))))
2786 (if (eq (car-safe val) 'special-const)
2787 (if calc-symbolic-mode
2788 x
2789 val)
2790 val))
2791 x)
2792 (if (Math-primp x)
2793 x
2794 (cons (car x) (mapcar 'math-evaluate-expr-rec (cdr x))))))
2795 x))
2796
2797 (defun math-any-floats (expr)
2798 (if (Math-primp expr)
2799 (math-floatp expr)
2800 (while (and (setq expr (cdr expr)) (not (math-any-floats (car expr)))))
2801 expr))
2802
2803 (defvar var-FactorRules 'calc-FactorRules)
2804
2805 (defvar math-mt-many nil)
2806 (defvar math-mt-func nil)
2807
2808 (defun math-map-tree (math-mt-func mmt-expr &optional math-mt-many)
2809 (or math-mt-many (setq math-mt-many 1000000))
2810 (math-map-tree-rec mmt-expr))
2811
2812 (defun math-map-tree-rec (mmt-expr)
2813 (or (= math-mt-many 0)
2814 (let ((mmt-done nil)
2815 mmt-nextval)
2816 (while (not mmt-done)
2817 (while (and (/= math-mt-many 0)
2818 (setq mmt-nextval (funcall math-mt-func mmt-expr))
2819 (not (equal mmt-expr mmt-nextval)))
2820 (setq mmt-expr mmt-nextval
2821 math-mt-many (if (> math-mt-many 0)
2822 (1- math-mt-many)
2823 (1+ math-mt-many))))
2824 (if (or (Math-primp mmt-expr)
2825 (<= math-mt-many 0))
2826 (setq mmt-done t)
2827 (setq mmt-nextval (cons (car mmt-expr)
2828 (mapcar 'math-map-tree-rec
2829 (cdr mmt-expr))))
2830 (if (equal mmt-nextval mmt-expr)
2831 (setq mmt-done t)
2832 (setq mmt-expr mmt-nextval))))))
2833 mmt-expr)
2834
2835 (defun math-is-true (expr)
2836 (if (Math-numberp expr)
2837 (not (Math-zerop expr))
2838 (math-known-nonzerop expr)))
2839
2840 (defun math-const-var (expr)
2841 (and (consp expr)
2842 (eq (car expr) 'var)
2843 (or (and (symbolp (nth 2 expr))
2844 (boundp (nth 2 expr))
2845 (eq (car-safe (symbol-value (nth 2 expr))) 'special-const))
2846 (memq (nth 2 expr) '(var-inf var-uinf var-nan)))))
2847
2848 ;; The variable math-integral-cache is originally declared in calcalg2.el,
2849 ;; but is set by math-defintegral and math-definitegral2.
2850 (defvar math-integral-cache)
2851
2852 (defmacro math-defintegral (funcs &rest code)
2853 (setq math-integral-cache nil)
2854 (append '(progn)
2855 (mapcar (function
2856 (lambda (func)
2857 (list 'put (list 'quote func) ''math-integral
2858 (list 'nconc
2859 (list 'get (list 'quote func) ''math-integral)
2860 (list 'list
2861 (list 'function
2862 (append '(lambda (u))
2863 code)))))))
2864 (if (symbolp funcs) (list funcs) funcs))))
2865 (put 'math-defintegral 'lisp-indent-hook 1)
2866
2867 (defmacro math-defintegral-2 (funcs &rest code)
2868 (setq math-integral-cache nil)
2869 (append '(progn)
2870 (mapcar (function
2871 (lambda (func)
2872 (list 'put (list 'quote func) ''math-integral-2
2873 (list 'nconc
2874 (list 'get (list 'quote func)
2875 ''math-integral-2)
2876 (list 'list
2877 (list 'function
2878 (append '(lambda (u v))
2879 code)))))))
2880 (if (symbolp funcs) (list funcs) funcs))))
2881 (put 'math-defintegral-2 'lisp-indent-hook 1)
2882
2883 (defvar var-IntegAfterRules 'calc-IntegAfterRules)
2884
2885 (defvar var-FitRules 'calc-FitRules)
2886
2887 (defvar math-poly-base-variable nil)
2888 (defvar math-poly-neg-powers nil)
2889 (defvar math-poly-mult-powers 1)
2890 (defvar math-poly-frac-powers nil)
2891 (defvar math-poly-exp-base nil)
2892
2893 (defun math-build-var-name (name)
2894 (if (stringp name)
2895 (setq name (intern name)))
2896 (if (string-match "\\`var-." (symbol-name name))
2897 (list 'var (intern (substring (symbol-name name) 4)) name)
2898 (list 'var name (intern (concat "var-" (symbol-name name))))))
2899
2900 (defvar math-simplifying-units nil)
2901 (defvar math-combining-units t)
2902
2903 ;;; Nontrivial number parsing.
2904
2905 (defun math-read-number-fancy (s)
2906 (cond
2907
2908 ;; Integer+fractions
2909 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2910 (let ((int (math-match-substring s 1))
2911 (num (math-match-substring s 2))
2912 (den (math-match-substring s 3)))
2913 (let ((int (if (> (length int) 0) (math-read-number int) 0))
2914 (num (if (> (length num) 0) (math-read-number num) 1))
2915 (den (if (> (length num) 0) (math-read-number den) 1)))
2916 (and int num den
2917 (math-integerp int) (math-integerp num) (math-integerp den)
2918 (not (math-zerop den))
2919 (list 'frac (math-add num (math-mul int den)) den)))))
2920
2921 ;; Fractions
2922 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2923 (let ((num (math-match-substring s 1))
2924 (den (math-match-substring s 2)))
2925 (let ((num (if (> (length num) 0) (math-read-number num) 1))
2926 (den (if (> (length num) 0) (math-read-number den) 1)))
2927 (and num den (math-integerp num) (math-integerp den)
2928 (not (math-zerop den))
2929 (list 'frac num den)))))
2930
2931 ;; Modulo forms
2932 ((string-match "^\\(.*\\) *mod *\\(.*\\)$" s)
2933 (let* ((n (math-match-substring s 1))
2934 (m (math-match-substring s 2))
2935 (n (math-read-number n))
2936 (m (math-read-number m)))
2937 (and n m (math-anglep n) (math-anglep m)
2938 (list 'mod n m))))
2939
2940 ;; Error forms
2941 ((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s)
2942 (let* ((x (math-match-substring s 1))
2943 (sigma (math-match-substring s 2))
2944 (x (math-read-number x))
2945 (sigma (math-read-number sigma)))
2946 (and x sigma (math-scalarp x) (math-anglep sigma)
2947 (list 'sdev x sigma))))
2948
2949 ;; Hours (or degrees)
2950 ((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s)
2951 (string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s))
2952 (let* ((hours (math-match-substring s 1))
2953 (minsec (math-match-substring s 2))
2954 (hours (math-read-number hours))
2955 (minsec (if (> (length minsec) 0) (math-read-number minsec) 0)))
2956 (and hours minsec
2957 (math-num-integerp hours)
2958 (not (math-negp hours)) (not (math-negp minsec))
2959 (cond ((math-num-integerp minsec)
2960 (and (Math-lessp minsec 60)
2961 (list 'hms hours minsec 0)))
2962 ((and (eq (car-safe minsec) 'hms)
2963 (math-zerop (nth 1 minsec)))
2964 (math-add (list 'hms hours 0 0) minsec))
2965 (t nil)))))
2966
2967 ;; Minutes
2968 ((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s)
2969 (let* ((minutes (math-match-substring s 1))
2970 (seconds (math-match-substring s 2))
2971 (minutes (math-read-number minutes))
2972 (seconds (if (> (length seconds) 0) (math-read-number seconds) 0)))
2973 (and minutes seconds
2974 (math-num-integerp minutes)
2975 (not (math-negp minutes)) (not (math-negp seconds))
2976 (cond ((math-realp seconds)
2977 (and (Math-lessp minutes 60)
2978 (list 'hms 0 minutes seconds)))
2979 ((and (eq (car-safe seconds) 'hms)
2980 (math-zerop (nth 1 seconds))
2981 (math-zerop (nth 2 seconds)))
2982 (math-add (list 'hms 0 minutes 0) seconds))
2983 (t nil)))))
2984
2985 ;; Seconds
2986 ((string-match "^\\([^\"#^]+\\)[sS\"]$" s)
2987 (let ((seconds (math-read-number (math-match-substring s 1))))
2988 (and seconds (math-realp seconds)
2989 (not (math-negp seconds))
2990 (Math-lessp seconds 60)
2991 (list 'hms 0 0 seconds))))
2992
2993 ;; Integer+fraction with explicit radix
2994 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s)
2995 (let ((radix (string-to-number (math-match-substring s 1)))
2996 (int (math-match-substring s 3))
2997 (num (math-match-substring s 4))
2998 (den (math-match-substring s 5)))
2999 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
3000 (num (if (> (length num) 0) (math-read-radix num radix) 1))
3001 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
3002 (and int num den (not (math-zerop den))
3003 (list 'frac
3004 (math-add num (math-mul int den))
3005 den)))))
3006
3007 ;; Fraction with explicit radix
3008 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s)
3009 (let ((radix (string-to-number (math-match-substring s 1)))
3010 (num (math-match-substring s 3))
3011 (den (math-match-substring s 4)))
3012 (let ((num (if (> (length num) 0) (math-read-radix num radix) 1))
3013 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
3014 (and num den (not (math-zerop den)) (list 'frac num den)))))
3015
3016 ;; Float with explicit radix and exponent
3017 ((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s)
3018 (string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s))
3019 (let ((radix (string-to-number (math-match-substring s 2)))
3020 (mant (math-match-substring s 1))
3021 (exp (math-match-substring s 4)))
3022 (let ((mant (math-read-number mant))
3023 (exp (math-read-number exp)))
3024 (and mant exp
3025 (math-mul mant (math-pow (math-float radix) exp))))))
3026
3027 ;; Float with explicit radix, no exponent
3028 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s)
3029 (let ((radix (string-to-number (math-match-substring s 1)))
3030 (int (math-match-substring s 3))
3031 (fracs (math-match-substring s 4)))
3032 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
3033 (frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0))
3034 (calc-prefer-frac nil))
3035 (and int frac
3036 (math-add int (math-div frac (math-pow radix (length fracs))))))))
3037
3038 ;; Integer with explicit radix
3039 ((string-match "^\\([0-9]+\\)\\(#&?\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s)
3040 (math-read-radix (math-match-substring s 3)
3041 (string-to-number (math-match-substring s 1))))
3042
3043 ;; Two's complement with explicit radix
3044 ((string-match "^\\([0-9]+\\)\\(##\\)\\([0-9a-zA-Z]+\\)$" s)
3045 (let ((num (math-read-radix (math-match-substring s 3)
3046 (string-to-number (math-match-substring s 1)))))
3047 (if (and
3048 (Math-lessp num math-2-word-size)
3049 (<= (math-compare math-half-2-word-size num) 0))
3050 (math-sub num math-2-word-size)
3051 num)))
3052
3053 ;; C language hexadecimal notation
3054 ((and (eq calc-language 'c)
3055 (string-match "^0[xX]\\([0-9a-fA-F]+\\)$" s))
3056 (let ((digs (math-match-substring s 1)))
3057 (math-read-radix digs 16)))
3058
3059 ;; Pascal language hexadecimal notation
3060 ((and (eq calc-language 'pascal)
3061 (string-match "^\\$\\([0-9a-fA-F]+\\)$" s))
3062 (let ((digs (math-match-substring s 1)))
3063 (math-read-radix digs 16)))
3064
3065 ;; Fraction using "/" instead of ":"
3066 ((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s)
3067 (math-read-number (concat (math-match-substring s 1) ":"
3068 (math-match-substring s 2))))
3069
3070 ;; Syntax error!
3071 (t nil)))
3072
3073 (defun math-read-radix (s r) ; [I X D]
3074 (setq s (upcase s))
3075 (let ((i 0)
3076 (res 0)
3077 dig)
3078 (while (and (< i (length s))
3079 (setq dig (math-read-radix-digit (elt s i)))
3080 (< dig r))
3081 (setq res (math-add (math-mul res r) dig)
3082 i (1+ i)))
3083 (and (= i (length s))
3084 res)))
3085
3086
3087
3088 ;;; Expression parsing.
3089
3090 (defvar math-expr-data)
3091
3092 (defun math-read-expr (math-exp-str)
3093 (let ((math-exp-pos 0)
3094 (math-exp-old-pos 0)
3095 (math-exp-keep-spaces nil)
3096 math-exp-token math-expr-data)
3097 (setq math-exp-str (math-read-preprocess-string math-exp-str))
3098 (while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
3099 (setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots"
3100 (substring math-exp-str (+ math-exp-token 2)))))
3101 (math-build-parse-table)
3102 (math-read-token)
3103 (let ((val (catch 'syntax (math-read-expr-level 0))))
3104 (if (stringp val)
3105 (list 'error math-exp-old-pos val)
3106 (if (equal math-exp-token 'end)
3107 val
3108 (list 'error math-exp-old-pos "Syntax error"))))))
3109
3110 (defun math-read-plain-expr (exp-str &optional error-check)
3111 (let* ((calc-language nil)
3112 (math-expr-opers (math-standard-ops))
3113 (val (math-read-expr exp-str)))
3114 (and error-check
3115 (eq (car-safe val) 'error)
3116 (error "%s: %s" (nth 2 val) exp-str))
3117 val))
3118
3119
3120 (defun math-read-string ()
3121 (let ((str (read-from-string (concat math-expr-data "\""))))
3122 (or (and (= (cdr str) (1+ (length math-expr-data)))
3123 (stringp (car str)))
3124 (throw 'syntax "Error in string constant"))
3125 (math-read-token)
3126 (append '(vec) (car str) nil)))
3127
3128
3129
3130 ;;; They said it couldn't be done...
3131
3132 (defun math-read-big-expr (str)
3133 (and (> (length calc-left-label) 0)
3134 (string-match (concat "^" (regexp-quote calc-left-label)) str)
3135 (setq str (concat (substring str 0 (match-beginning 0))
3136 (substring str (match-end 0)))))
3137 (and (> (length calc-right-label) 0)
3138 (string-match (concat (regexp-quote calc-right-label) " *$") str)
3139 (setq str (concat (substring str 0 (match-beginning 0))
3140 (substring str (match-end 0)))))
3141 (if (string-match "\\\\[^ \n|]" str)
3142 (if (eq calc-language 'latex)
3143 (math-read-expr str)
3144 (let ((calc-language 'latex)
3145 (calc-language-option nil)
3146 (math-expr-opers (get 'latex 'math-oper-table))
3147 (math-expr-function-mapping (get 'latex 'math-function-table))
3148 (math-expr-variable-mapping (get 'latex 'math-variable-table)))
3149 (math-read-expr str)))
3150 (let ((math-read-big-lines nil)
3151 (pos 0)
3152 (width 0)
3153 (math-read-big-err-msg nil)
3154 math-read-big-baseline math-read-big-h2
3155 new-pos p)
3156 (while (setq new-pos (string-match "\n" str pos))
3157 (setq math-read-big-lines
3158 (cons (substring str pos new-pos) math-read-big-lines)
3159 pos (1+ new-pos)))
3160 (setq math-read-big-lines
3161 (nreverse (cons (substring str pos) math-read-big-lines))
3162 p math-read-big-lines)
3163 (while p
3164 (setq width (max width (length (car p)))
3165 p (cdr p)))
3166 (if (math-read-big-bigp math-read-big-lines)
3167 (or (catch 'syntax
3168 (math-read-big-rec 0 0 width (length math-read-big-lines)))
3169 math-read-big-err-msg
3170 '(error 0 "Syntax error"))
3171 (math-read-expr str)))))
3172
3173 (defun math-read-big-bigp (math-read-big-lines)
3174 (and (cdr math-read-big-lines)
3175 (let ((matrix nil)
3176 (v 0)
3177 (height (if (> (length (car math-read-big-lines)) 0) 1 0)))
3178 (while (and (cdr math-read-big-lines)
3179 (let* ((i 0)
3180 j
3181 (l1 (car math-read-big-lines))
3182 (l2 (nth 1 math-read-big-lines))
3183 (len (min (length l1) (length l2))))
3184 (if (> (length l2) 0)
3185 (setq height (1+ height)))
3186 (while (and (< i len)
3187 (or (memq (aref l1 i) '(?\ ?\- ?\_))
3188 (memq (aref l2 i) '(?\ ?\-))
3189 (and (memq (aref l1 i) '(?\| ?\,))
3190 (= (aref l2 i) (aref l1 i)))
3191 (and (eq (aref l1 i) ?\[)
3192 (eq (aref l2 i) ?\[)
3193 (let ((math-rb-h2 (length l1)))
3194 (setq j (math-read-big-balance
3195 (1+ i) v "[")))
3196 (setq i (1- j)))))
3197 (setq i (1+ i)))
3198 (or (= i len)
3199 (and (eq (aref l1 i) ?\[)
3200 (eq (aref l2 i) ?\[)
3201 (setq matrix t)
3202 nil))))
3203 (setq math-read-big-lines (cdr math-read-big-lines)
3204 v (1+ v)))
3205 (or (and (> height 1)
3206 (not (cdr math-read-big-lines)))
3207 matrix))))
3208
3209 ;;; Nontrivial "flat" formatting.
3210
3211 (defvar math-format-hash-args nil)
3212 (defvar calc-can-abbrev-vectors nil)
3213
3214 (defun math-format-flat-expr-fancy (a prec)
3215 (cond
3216 ((eq (car a) 'incomplete)
3217 (format "<incomplete %s>" (nth 1 a)))
3218 ((eq (car a) 'vec)
3219 (if (or calc-full-trail-vectors (not calc-can-abbrev-vectors)
3220 (< (length a) 7))
3221 (concat "[" (math-format-flat-vector (cdr a) ", "
3222 (if (cdr (cdr a)) 0 1000)) "]")
3223 (concat "["
3224 (math-format-flat-expr (nth 1 a) 0) ", "
3225 (math-format-flat-expr (nth 2 a) 0) ", "
3226 (math-format-flat-expr (nth 3 a) 0) ", ..., "
3227 (math-format-flat-expr (nth (1- (length a)) a) 0) "]")))
3228 ((eq (car a) 'intv)
3229 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3230 (math-format-flat-expr (nth 2 a) 1000)
3231 " .. "
3232 (math-format-flat-expr (nth 3 a) 1000)
3233 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3234 ((eq (car a) 'date)
3235 (concat "<" (math-format-date a) ">"))
3236 ((and (eq (car a) 'calcFunc-lambda) (> (length a) 2))
3237 (let ((p (cdr a))
3238 (ap calc-arg-values)
3239 (math-format-hash-args (if (= (length a) 3) 1 t)))
3240 (while (and (cdr p) (equal (car p) (car ap)))
3241 (setq p (cdr p) ap (cdr ap)))
3242 (concat "<"
3243 (if (cdr p)
3244 (concat (math-format-flat-vector
3245 (nreverse (cdr (reverse (cdr a)))) ", " 0)
3246 " : ")
3247 "")
3248 (math-format-flat-expr (nth (1- (length a)) a) 0)
3249 ">")))
3250 ((eq (car a) 'var)
3251 (or (and math-format-hash-args
3252 (let ((p calc-arg-values) (v 1))
3253 (while (and p (not (equal (car p) a)))
3254 (setq p (and (eq math-format-hash-args t) (cdr p))
3255 v (1+ v)))
3256 (and p
3257 (if (eq math-format-hash-args 1)
3258 "#"
3259 (format "#%d" v)))))
3260 (symbol-name (nth 1 a))))
3261 ((and (memq (car a) '(calcFunc-string calcFunc-bstring))
3262 (= (length a) 2)
3263 (math-vectorp (nth 1 a))
3264 (math-vector-is-string (nth 1 a)))
3265 (concat (substring (symbol-name (car a)) 9)
3266 "(" (math-vector-to-string (nth 1 a) t) ")"))
3267 (t
3268 (let ((op (math-assq2 (car a) (math-standard-ops))))
3269 (cond ((and op (= (length a) 3))
3270 (if (> prec (min (nth 2 op) (nth 3 op)))
3271 (concat "(" (math-format-flat-expr a 0) ")")
3272 (let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op)))
3273 (rhs (math-format-flat-expr (nth 2 a) (nth 3 op))))
3274 (setq op (car op))
3275 (if (or (equal op "^") (equal op "_"))
3276 (if (= (aref lhs 0) ?-)
3277 (setq lhs (concat "(" lhs ")")))
3278 (setq op (concat " " op " ")))
3279 (concat lhs op rhs))))
3280 ((eq (car a) 'neg)
3281 (concat "-" (math-format-flat-expr (nth 1 a) 1000)))
3282 (t
3283 (concat (math-remove-dashes
3284 (if (string-match "\\`calcFunc-\\([a-zA-Zα-ωΑ-Ω0-9']+\\)\\'"
3285 (symbol-name (car a)))
3286 (math-match-substring (symbol-name (car a)) 1)
3287 (symbol-name (car a))))
3288 "("
3289 (math-format-flat-vector (cdr a) ", " 0)
3290 ")")))))))
3291
3292 (defun math-format-flat-vector (vec sep prec)
3293 (if vec
3294 (let ((buf (math-format-flat-expr (car vec) prec)))
3295 (while (setq vec (cdr vec))
3296 (setq buf (concat buf sep (math-format-flat-expr (car vec) prec))))
3297 buf)
3298 ""))
3299
3300 (defun math-format-nice-expr (x w)
3301 (cond ((and (eq (car-safe x) 'vec)
3302 (cdr (cdr x))
3303 (let ((ops '(vec calcFunc-assign calcFunc-condition
3304 calcFunc-schedule calcFunc-iterations
3305 calcFunc-phase)))
3306 (or (memq (car-safe (nth 1 x)) ops)
3307 (memq (car-safe (nth 2 x)) ops)
3308 (memq (car-safe (nth 3 x)) ops)
3309 calc-break-vectors)))
3310 (concat "[ " (math-format-flat-vector (cdr x) ",\n " 0) " ]"))
3311 (t
3312 (let ((str (math-format-flat-expr x 0))
3313 (pos 0) p)
3314 (or (string-match "\"" str)
3315 (while (<= (setq p (+ pos w)) (length str))
3316 (while (and (> (setq p (1- p)) pos)
3317 (not (= (aref str p) ? ))))
3318 (if (> p (+ pos 5))
3319 (setq str (concat (substring str 0 p)
3320 "\n "
3321 (substring str p))
3322 pos (1+ p))
3323 (setq pos (+ pos w)))))
3324 str))))
3325
3326 (defun math-assq2 (v a)
3327 (while (and a (not (eq v (nth 1 (car a)))))
3328 (setq a (cdr a)))
3329 (car a))
3330
3331 (defun math-format-number-fancy (a prec)
3332 (cond
3333 ((eq (car a) 'float) ; non-decimal radix
3334 (if (Math-integer-negp (nth 1 a))
3335 (concat "-" (math-format-number (math-neg a)))
3336 (let ((str (if (and calc-radix-formatter
3337 (not (memq calc-language '(c pascal))))
3338 (funcall calc-radix-formatter
3339 calc-number-radix
3340 (math-format-radix-float a prec))
3341 (format "%d#%s" calc-number-radix
3342 (math-format-radix-float a prec)))))
3343 (if (and prec (> prec 191) (string-match "\\*" str))
3344 (concat "(" str ")")
3345 str))))
3346 ((eq (car a) 'frac)
3347 (setq a (math-adjust-fraction a))
3348 (if (> (length (car calc-frac-format)) 1)
3349 (if (Math-integer-negp (nth 1 a))
3350 (concat "-" (math-format-number (math-neg a)))
3351 (let ((q (math-idivmod (nth 1 a) (nth 2 a))))
3352 (concat (let ((calc-frac-format nil))
3353 (math-format-number (car q)))
3354 (substring (car calc-frac-format) 0 1)
3355 (let ((math-radix-explicit-format nil)
3356 (calc-frac-format nil))
3357 (math-format-number (cdr q)))
3358 (substring (car calc-frac-format) 1 2)
3359 (let ((math-radix-explicit-format nil)
3360 (calc-frac-format nil))
3361 (math-format-number (nth 2 a))))))
3362 (concat (let ((calc-frac-format nil))
3363 (math-format-number (nth 1 a)))
3364 (car calc-frac-format)
3365 (let ((math-radix-explicit-format nil)
3366 (calc-frac-format nil))
3367 (math-format-number (nth 2 a))))))
3368 ((eq (car a) 'cplx)
3369 (if (math-zerop (nth 2 a))
3370 (math-format-number (nth 1 a))
3371 (if (null calc-complex-format)
3372 (concat "(" (math-format-number (nth 1 a))
3373 ", " (math-format-number (nth 2 a)) ")")
3374 (if (math-zerop (nth 1 a))
3375 (if (math-equal-int (nth 2 a) 1)
3376 (symbol-name calc-complex-format)
3377 (if (math-equal-int (nth 2 a) -1)
3378 (concat "-" (symbol-name calc-complex-format))
3379 (if prec
3380 (math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec)
3381 (concat (math-format-number (nth 2 a)) " "
3382 (symbol-name calc-complex-format)))))
3383 (if prec
3384 (math-compose-expr (list (if (math-negp (nth 2 a)) '- '+)
3385 (nth 1 a)
3386 (list 'cplx 0 (math-abs (nth 2 a))))
3387 prec)
3388 (concat (math-format-number (nth 1 a))
3389 (if (math-negp (nth 2 a)) " - " " + ")
3390 (math-format-number
3391 (list 'cplx 0 (math-abs (nth 2 a))))))))))
3392 ((eq (car a) 'polar)
3393 (concat "(" (math-format-number (nth 1 a))
3394 "; " (math-format-number (nth 2 a)) ")"))
3395 ((eq (car a) 'hms)
3396 (if (math-negp a)
3397 (concat "-" (math-format-number (math-neg a)))
3398 (let ((calc-number-radix 10)
3399 (calc-twos-complement-mode nil)
3400 (calc-leading-zeros nil)
3401 (calc-group-digits nil))
3402 (format calc-hms-format
3403 (let ((calc-frac-format '(":" nil)))
3404 (math-format-number (nth 1 a)))
3405 (let ((calc-frac-format '(":" nil)))
3406 (math-format-number (nth 2 a)))
3407 (math-format-number (nth 3 a))))))
3408 ((eq (car a) 'intv)
3409 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3410 (math-format-number (nth 2 a))
3411 " .. "
3412 (math-format-number (nth 3 a))
3413 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3414 ((eq (car a) 'sdev)
3415 (concat (math-format-number (nth 1 a))
3416 " +/- "
3417 (math-format-number (nth 2 a))))
3418 ((eq (car a) 'vec)
3419 (math-format-flat-expr a 0))
3420 (t (format "%s" a))))
3421
3422 (defun math-adjust-fraction (a)
3423 (if (nth 1 calc-frac-format)
3424 (progn
3425 (if (Math-integerp a) (setq a (list 'frac a 1)))
3426 (let ((g (math-quotient (nth 1 calc-frac-format)
3427 (math-gcd (nth 2 a)
3428 (nth 1 calc-frac-format)))))
3429 (list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g))))
3430 a))
3431
3432 (defun math-format-bignum-fancy (a) ; [X L]
3433 (let ((str (cond ((= calc-number-radix 10)
3434 (math-format-bignum-decimal a))
3435 ((= calc-number-radix 2)
3436 (math-format-bignum-binary a))
3437 ((= calc-number-radix 8)
3438 (math-format-bignum-octal a))
3439 ((= calc-number-radix 16)
3440 (math-format-bignum-hex a))
3441 (t (math-format-bignum-radix a)))))
3442 (if calc-leading-zeros
3443 (let* ((calc-internal-prec 6)
3444 (digs (math-compute-max-digits (math-abs calc-word-size)
3445 calc-number-radix))
3446 (len (length str)))
3447 (if (< len digs)
3448 (setq str (concat (make-string (- digs len) ?0) str)))))
3449 (if calc-group-digits
3450 (let ((i (length str))
3451 (g (if (integerp calc-group-digits)
3452 (math-abs calc-group-digits)
3453 (if (memq calc-number-radix '(2 16)) 4 3))))
3454 (while (> i g)
3455 (setq i (- i g)
3456 str (concat (substring str 0 i)
3457 calc-group-char
3458 (substring str i))))
3459 str))
3460 (if (and (/= calc-number-radix 10)
3461 math-radix-explicit-format)
3462 (if calc-radix-formatter
3463 (funcall calc-radix-formatter calc-number-radix str)
3464 (format "%d#%s" calc-number-radix str))
3465 str)))
3466
3467
3468 (defun math-group-float (str) ; [X X]
3469 (let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str)))
3470 (g (if (integerp calc-group-digits) (math-abs calc-group-digits)
3471 (if (memq calc-number-radix '(2 16)) 4 3)))
3472 (i pt))
3473 (if (and (integerp calc-group-digits) (< calc-group-digits 0))
3474 (while (< (setq i (+ (1+ i) g)) (length str))
3475 (setq str (concat (substring str 0 i)
3476 calc-group-char
3477 (substring str i))
3478 i (+ i (1- (length calc-group-char))))))
3479 (setq i pt)
3480 (while (> i g)
3481 (setq i (- i g)
3482 str (concat (substring str 0 i)
3483 calc-group-char
3484 (substring str i))))
3485 str))
3486
3487 ;;; Users can redefine this in their .emacs files.
3488 (defvar calc-keypad-user-menu nil
3489 "If non-nil, this describes an additional menu for calc-keypad.
3490 It should contain a list of three rows.
3491 Each row should be a list of six keys.
3492 Each key should be a list of a label string, plus a Calc command name spec.
3493 A command spec is a command name symbol, a keyboard macro string, a
3494 list containing a numeric entry string, or nil.
3495 A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.")
3496
3497 (run-hooks 'calc-ext-load-hook)
3498
3499 (provide 'calc-ext)
3500
3501 ;; Local variables:
3502 ;; coding: utf-8
3503 ;; End:
3504
3505 ;;; calc-ext.el ends here