1 ;;; calc-ext.el --- various extension functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2004 Free Software Foundation, Inc.
5 ;; Author: David Gillespie <daveg@synaptics.com>
6 ;; Maintainer: Jay Belanger <belanger@truman.edu>
8 ;; This file is part of GNU Emacs.
10 ;; GNU Emacs is distributed in the hope that it will be useful,
11 ;; but WITHOUT ANY WARRANTY. No author or distributor
12 ;; accepts responsibility to anyone for the consequences of using it
13 ;; or for whether it serves any particular purpose or works at all,
14 ;; unless he says so in writing. Refer to the GNU Emacs General Public
15 ;; License for full details.
17 ;; Everyone is granted permission to copy, modify and redistribute
18 ;; GNU Emacs, but only under the conditions described in the
19 ;; GNU Emacs General Public License. A copy of this license is
20 ;; supposed to have been given to you along with GNU Emacs so you
21 ;; can know your rights and responsibilities. It should be in a
22 ;; file named COPYING. Among other things, the copyright notice
23 ;; and this notice must be preserved on all copies.
32 (defvar math-simplifying nil)
33 (defvar math-living-dangerously nil) ; true if unsafe simplifications are okay.
34 (defvar math-integrating nil)
36 (defvar math-rewrite-selections nil)
38 (defvar math-compose-level 0)
39 (defvar math-comp-selected nil)
40 (defvar math-comp-tagged nil)
41 (defvar math-comp-sel-hpos nil)
42 (defvar math-comp-sel-vpos nil)
43 (defvar math-comp-sel-cpos nil)
44 (defvar math-compose-hash-args nil)
46 ;;; The following was made a function so that it could be byte-compiled.
47 (defun calc-init-extensions ()
49 (define-key calc-mode-map ":" 'calc-fdiv)
50 (define-key calc-mode-map "\\" 'calc-idiv)
51 (define-key calc-mode-map "|" 'calc-concat)
52 (define-key calc-mode-map "!" 'calc-factorial)
53 (define-key calc-mode-map "C" 'calc-cos)
54 (define-key calc-mode-map "E" 'calc-exp)
55 (define-key calc-mode-map "H" 'calc-hyperbolic)
56 (define-key calc-mode-map "I" 'calc-inverse)
57 (define-key calc-mode-map "J" 'calc-conj)
58 (define-key calc-mode-map "L" 'calc-ln)
59 (define-key calc-mode-map "N" 'calc-eval-num)
60 (define-key calc-mode-map "P" 'calc-pi)
61 (define-key calc-mode-map "Q" 'calc-sqrt)
62 (define-key calc-mode-map "R" 'calc-round)
63 (define-key calc-mode-map "S" 'calc-sin)
64 (define-key calc-mode-map "T" 'calc-tan)
65 (define-key calc-mode-map "U" 'calc-undo)
66 (define-key calc-mode-map "X" 'calc-call-last-kbd-macro)
67 (define-key calc-mode-map "o" 'calc-realign)
68 (define-key calc-mode-map "p" 'calc-precision)
69 (define-key calc-mode-map "w" 'calc-why)
70 (define-key calc-mode-map "x" 'calc-execute-extended-command)
71 (define-key calc-mode-map "y" 'calc-copy-to-buffer)
73 (define-key calc-mode-map "(" 'calc-begin-complex)
74 (define-key calc-mode-map ")" 'calc-end-complex)
75 (define-key calc-mode-map "[" 'calc-begin-vector)
76 (define-key calc-mode-map "]" 'calc-end-vector)
77 (define-key calc-mode-map "," 'calc-comma)
78 (define-key calc-mode-map ";" 'calc-semi)
79 (define-key calc-mode-map "`" 'calc-edit)
80 (define-key calc-mode-map "=" 'calc-evaluate)
81 (define-key calc-mode-map "~" 'calc-num-prefix)
82 (define-key calc-mode-map "<" 'calc-scroll-left)
83 (define-key calc-mode-map ">" 'calc-scroll-right)
84 (define-key calc-mode-map "{" 'calc-scroll-down)
85 (define-key calc-mode-map "}" 'calc-scroll-up)
86 (define-key calc-mode-map "\C-k" 'calc-kill)
87 (define-key calc-mode-map "\M-k" 'calc-copy-as-kill)
88 (define-key calc-mode-map "\C-w" 'calc-kill-region)
89 (define-key calc-mode-map "\M-w" 'calc-copy-region-as-kill)
90 (define-key calc-mode-map "\C-y" 'calc-yank)
91 (define-key calc-mode-map [mouse-2] 'calc-yank)
92 (define-key calc-mode-map "\C-_" 'calc-undo)
93 (define-key calc-mode-map "\C-xu" 'calc-undo)
94 (define-key calc-mode-map "\M-\C-m" 'calc-last-args)
96 (define-key calc-mode-map "a" nil)
97 (define-key calc-mode-map "a?" 'calc-a-prefix-help)
98 (define-key calc-mode-map "aa" 'calc-apart)
99 (define-key calc-mode-map "ab" 'calc-substitute)
100 (define-key calc-mode-map "ac" 'calc-collect)
101 (define-key calc-mode-map "ad" 'calc-derivative)
102 (define-key calc-mode-map "ae" 'calc-simplify-extended)
103 (define-key calc-mode-map "af" 'calc-factor)
104 (define-key calc-mode-map "ag" 'calc-poly-gcd)
105 (define-key calc-mode-map "ai" 'calc-integral)
106 (define-key calc-mode-map "am" 'calc-match)
107 (define-key calc-mode-map "an" 'calc-normalize-rat)
108 (define-key calc-mode-map "ap" 'calc-poly-interp)
109 (define-key calc-mode-map "ar" 'calc-rewrite)
110 (define-key calc-mode-map "as" 'calc-simplify)
111 (define-key calc-mode-map "at" 'calc-taylor)
112 (define-key calc-mode-map "av" 'calc-alg-evaluate)
113 (define-key calc-mode-map "ax" 'calc-expand)
114 (define-key calc-mode-map "aA" 'calc-abs)
115 (define-key calc-mode-map "aF" 'calc-curve-fit)
116 (define-key calc-mode-map "aI" 'calc-num-integral)
117 (define-key calc-mode-map "aM" 'calc-map-equation)
118 (define-key calc-mode-map "aN" 'calc-find-minimum)
119 (define-key calc-mode-map "aP" 'calc-poly-roots)
120 (define-key calc-mode-map "aS" 'calc-solve-for)
121 (define-key calc-mode-map "aR" 'calc-find-root)
122 (define-key calc-mode-map "aT" 'calc-tabulate)
123 (define-key calc-mode-map "aX" 'calc-find-maximum)
124 (define-key calc-mode-map "a+" 'calc-summation)
125 (define-key calc-mode-map "a-" 'calc-alt-summation)
126 (define-key calc-mode-map "a*" 'calc-product)
127 (define-key calc-mode-map "a\\" 'calc-poly-div)
128 (define-key calc-mode-map "a%" 'calc-poly-rem)
129 (define-key calc-mode-map "a/" 'calc-poly-div-rem)
130 (define-key calc-mode-map "a=" 'calc-equal-to)
131 (define-key calc-mode-map "a#" 'calc-not-equal-to)
132 (define-key calc-mode-map "a<" 'calc-less-than)
133 (define-key calc-mode-map "a>" 'calc-greater-than)
134 (define-key calc-mode-map "a[" 'calc-less-equal)
135 (define-key calc-mode-map "a]" 'calc-greater-equal)
136 (define-key calc-mode-map "a." 'calc-remove-equal)
137 (define-key calc-mode-map "a{" 'calc-in-set)
138 (define-key calc-mode-map "a&" 'calc-logical-and)
139 (define-key calc-mode-map "a|" 'calc-logical-or)
140 (define-key calc-mode-map "a!" 'calc-logical-not)
141 (define-key calc-mode-map "a:" 'calc-logical-if)
142 (define-key calc-mode-map "a_" 'calc-subscript)
143 (define-key calc-mode-map "a\"" 'calc-expand-formula)
145 (define-key calc-mode-map "b" nil)
146 (define-key calc-mode-map "b?" 'calc-b-prefix-help)
147 (define-key calc-mode-map "ba" 'calc-and)
148 (define-key calc-mode-map "bc" 'calc-clip)
149 (define-key calc-mode-map "bd" 'calc-diff)
150 (define-key calc-mode-map "bl" 'calc-lshift-binary)
151 (define-key calc-mode-map "bn" 'calc-not)
152 (define-key calc-mode-map "bo" 'calc-or)
153 (define-key calc-mode-map "bp" 'calc-pack-bits)
154 (define-key calc-mode-map "br" 'calc-rshift-binary)
155 (define-key calc-mode-map "bt" 'calc-rotate-binary)
156 (define-key calc-mode-map "bu" 'calc-unpack-bits)
157 (define-key calc-mode-map "bw" 'calc-word-size)
158 (define-key calc-mode-map "bx" 'calc-xor)
159 (define-key calc-mode-map "bB" 'calc-log)
160 (define-key calc-mode-map "bD" 'calc-fin-ddb)
161 (define-key calc-mode-map "bF" 'calc-fin-fv)
162 (define-key calc-mode-map "bI" 'calc-fin-irr)
163 (define-key calc-mode-map "bL" 'calc-lshift-arith)
164 (define-key calc-mode-map "bM" 'calc-fin-pmt)
165 (define-key calc-mode-map "bN" 'calc-fin-npv)
166 (define-key calc-mode-map "bP" 'calc-fin-pv)
167 (define-key calc-mode-map "bR" 'calc-rshift-arith)
168 (define-key calc-mode-map "bS" 'calc-fin-sln)
169 (define-key calc-mode-map "bT" 'calc-fin-rate)
170 (define-key calc-mode-map "bY" 'calc-fin-syd)
171 (define-key calc-mode-map "b#" 'calc-fin-nper)
172 (define-key calc-mode-map "b%" 'calc-percent-change)
174 (define-key calc-mode-map "c" nil)
175 (define-key calc-mode-map "c?" 'calc-c-prefix-help)
176 (define-key calc-mode-map "cc" 'calc-clean)
177 (define-key calc-mode-map "cd" 'calc-to-degrees)
178 (define-key calc-mode-map "cf" 'calc-float)
179 (define-key calc-mode-map "ch" 'calc-to-hms)
180 (define-key calc-mode-map "cp" 'calc-polar)
181 (define-key calc-mode-map "cr" 'calc-to-radians)
182 (define-key calc-mode-map "cC" 'calc-cos)
183 (define-key calc-mode-map "cF" 'calc-fraction)
184 (define-key calc-mode-map "c%" 'calc-convert-percent)
186 (define-key calc-mode-map "d" nil)
187 (define-key calc-mode-map "d?" 'calc-d-prefix-help)
188 (define-key calc-mode-map "d0" 'calc-decimal-radix)
189 (define-key calc-mode-map "d2" 'calc-binary-radix)
190 (define-key calc-mode-map "d6" 'calc-hex-radix)
191 (define-key calc-mode-map "d8" 'calc-octal-radix)
192 (define-key calc-mode-map "db" 'calc-line-breaking)
193 (define-key calc-mode-map "dc" 'calc-complex-notation)
194 (define-key calc-mode-map "dd" 'calc-date-notation)
195 (define-key calc-mode-map "de" 'calc-eng-notation)
196 (define-key calc-mode-map "df" 'calc-fix-notation)
197 (define-key calc-mode-map "dg" 'calc-group-digits)
198 (define-key calc-mode-map "dh" 'calc-hms-notation)
199 (define-key calc-mode-map "di" 'calc-i-notation)
200 (define-key calc-mode-map "dj" 'calc-j-notation)
201 (define-key calc-mode-map "dl" 'calc-line-numbering)
202 (define-key calc-mode-map "dn" 'calc-normal-notation)
203 (define-key calc-mode-map "do" 'calc-over-notation)
204 (define-key calc-mode-map "dp" 'calc-show-plain)
205 (define-key calc-mode-map "dr" 'calc-radix)
206 (define-key calc-mode-map "ds" 'calc-sci-notation)
207 (define-key calc-mode-map "dt" 'calc-truncate-stack)
208 (define-key calc-mode-map "dw" 'calc-auto-why)
209 (define-key calc-mode-map "dz" 'calc-leading-zeros)
210 (define-key calc-mode-map "dB" 'calc-big-language)
211 (define-key calc-mode-map "dD" 'calc-redo)
212 (define-key calc-mode-map "dC" 'calc-c-language)
213 (define-key calc-mode-map "dE" 'calc-eqn-language)
214 (define-key calc-mode-map "dF" 'calc-fortran-language)
215 (define-key calc-mode-map "dM" 'calc-mathematica-language)
216 (define-key calc-mode-map "dN" 'calc-normal-language)
217 (define-key calc-mode-map "dO" 'calc-flat-language)
218 (define-key calc-mode-map "dP" 'calc-pascal-language)
219 (define-key calc-mode-map "dT" 'calc-tex-language)
220 (define-key calc-mode-map "dL" 'calc-latex-language)
221 (define-key calc-mode-map "dU" 'calc-unformatted-language)
222 (define-key calc-mode-map "dW" 'calc-maple-language)
223 (define-key calc-mode-map "d[" 'calc-truncate-up)
224 (define-key calc-mode-map "d]" 'calc-truncate-down)
225 (define-key calc-mode-map "d." 'calc-point-char)
226 (define-key calc-mode-map "d," 'calc-group-char)
227 (define-key calc-mode-map "d\"" 'calc-display-strings)
228 (define-key calc-mode-map "d<" 'calc-left-justify)
229 (define-key calc-mode-map "d=" 'calc-center-justify)
230 (define-key calc-mode-map "d>" 'calc-right-justify)
231 (define-key calc-mode-map "d{" 'calc-left-label)
232 (define-key calc-mode-map "d}" 'calc-right-label)
233 (define-key calc-mode-map "d'" 'calc-display-raw)
234 (define-key calc-mode-map "d " 'calc-refresh)
235 (define-key calc-mode-map "d\r" 'calc-refresh-top)
236 (define-key calc-mode-map "d@" 'calc-toggle-banner)
238 (define-key calc-mode-map "f" nil)
239 (define-key calc-mode-map "f?" 'calc-f-prefix-help)
240 (define-key calc-mode-map "fb" 'calc-beta)
241 (define-key calc-mode-map "fe" 'calc-erf)
242 (define-key calc-mode-map "fg" 'calc-gamma)
243 (define-key calc-mode-map "fh" 'calc-hypot)
244 (define-key calc-mode-map "fi" 'calc-im)
245 (define-key calc-mode-map "fj" 'calc-bessel-J)
246 (define-key calc-mode-map "fn" 'calc-min)
247 (define-key calc-mode-map "fr" 'calc-re)
248 (define-key calc-mode-map "fs" 'calc-sign)
249 (define-key calc-mode-map "fx" 'calc-max)
250 (define-key calc-mode-map "fy" 'calc-bessel-Y)
251 (define-key calc-mode-map "fA" 'calc-abssqr)
252 (define-key calc-mode-map "fB" 'calc-inc-beta)
253 (define-key calc-mode-map "fE" 'calc-expm1)
254 (define-key calc-mode-map "fF" 'calc-floor)
255 (define-key calc-mode-map "fG" 'calc-inc-gamma)
256 (define-key calc-mode-map "fI" 'calc-ilog)
257 (define-key calc-mode-map "fL" 'calc-lnp1)
258 (define-key calc-mode-map "fM" 'calc-mant-part)
259 (define-key calc-mode-map "fQ" 'calc-isqrt)
260 (define-key calc-mode-map "fS" 'calc-scale-float)
261 (define-key calc-mode-map "fT" 'calc-arctan2)
262 (define-key calc-mode-map "fX" 'calc-xpon-part)
263 (define-key calc-mode-map "f[" 'calc-decrement)
264 (define-key calc-mode-map "f]" 'calc-increment)
266 (define-key calc-mode-map "g" nil)
267 (define-key calc-mode-map "g?" 'calc-g-prefix-help)
268 (define-key calc-mode-map "ga" 'calc-graph-add)
269 (define-key calc-mode-map "gb" 'calc-graph-border)
270 (define-key calc-mode-map "gc" 'calc-graph-clear)
271 (define-key calc-mode-map "gd" 'calc-graph-delete)
272 (define-key calc-mode-map "gf" 'calc-graph-fast)
273 (define-key calc-mode-map "gg" 'calc-graph-grid)
274 (define-key calc-mode-map "gh" 'calc-graph-header)
275 (define-key calc-mode-map "gk" 'calc-graph-key)
276 (define-key calc-mode-map "gj" 'calc-graph-juggle)
277 (define-key calc-mode-map "gl" 'calc-graph-log-x)
278 (define-key calc-mode-map "gn" 'calc-graph-name)
279 (define-key calc-mode-map "gp" 'calc-graph-plot)
280 (define-key calc-mode-map "gq" 'calc-graph-quit)
281 (define-key calc-mode-map "gr" 'calc-graph-range-x)
282 (define-key calc-mode-map "gs" 'calc-graph-line-style)
283 (define-key calc-mode-map "gt" 'calc-graph-title-x)
284 (define-key calc-mode-map "gv" 'calc-graph-view-commands)
285 (define-key calc-mode-map "gx" 'calc-graph-display)
286 (define-key calc-mode-map "gz" 'calc-graph-zero-x)
287 (define-key calc-mode-map "gA" 'calc-graph-add-3d)
288 (define-key calc-mode-map "gC" 'calc-graph-command)
289 (define-key calc-mode-map "gD" 'calc-graph-device)
290 (define-key calc-mode-map "gF" 'calc-graph-fast-3d)
291 (define-key calc-mode-map "gG" 'calc-argument)
292 (define-key calc-mode-map "gH" 'calc-graph-hide)
293 (define-key calc-mode-map "gK" 'calc-graph-kill)
294 (define-key calc-mode-map "gL" 'calc-graph-log-y)
295 (define-key calc-mode-map "gN" 'calc-graph-num-points)
296 (define-key calc-mode-map "gO" 'calc-graph-output)
297 (define-key calc-mode-map "gP" 'calc-graph-print)
298 (define-key calc-mode-map "gR" 'calc-graph-range-y)
299 (define-key calc-mode-map "gS" 'calc-graph-point-style)
300 (define-key calc-mode-map "gT" 'calc-graph-title-y)
301 (define-key calc-mode-map "gV" 'calc-graph-view-trail)
302 (define-key calc-mode-map "gX" 'calc-graph-geometry)
303 (define-key calc-mode-map "gZ" 'calc-graph-zero-y)
304 (define-key calc-mode-map "g\C-l" 'calc-graph-log-z)
305 (define-key calc-mode-map "g\C-r" 'calc-graph-range-z)
306 (define-key calc-mode-map "g\C-t" 'calc-graph-title-z)
308 (define-key calc-mode-map "h" 'calc-help-prefix)
310 (define-key calc-mode-map "j" nil)
311 (define-key calc-mode-map "j?" 'calc-j-prefix-help)
312 (define-key calc-mode-map "ja" 'calc-select-additional)
313 (define-key calc-mode-map "jb" 'calc-break-selections)
314 (define-key calc-mode-map "jc" 'calc-clear-selections)
315 (define-key calc-mode-map "jd" 'calc-show-selections)
316 (define-key calc-mode-map "je" 'calc-enable-selections)
317 (define-key calc-mode-map "jl" 'calc-select-less)
318 (define-key calc-mode-map "jm" 'calc-select-more)
319 (define-key calc-mode-map "jn" 'calc-select-next)
320 (define-key calc-mode-map "jo" 'calc-select-once)
321 (define-key calc-mode-map "jp" 'calc-select-previous)
322 (define-key calc-mode-map "jr" 'calc-rewrite-selection)
323 (define-key calc-mode-map "js" 'calc-select-here)
324 (define-key calc-mode-map "jv" 'calc-sel-evaluate)
325 (define-key calc-mode-map "ju" 'calc-unselect)
326 (define-key calc-mode-map "jC" 'calc-sel-commute)
327 (define-key calc-mode-map "jD" 'calc-sel-distribute)
328 (define-key calc-mode-map "jE" 'calc-sel-jump-equals)
329 (define-key calc-mode-map "jI" 'calc-sel-isolate)
330 (define-key calc-mode-map "jJ" 'calc-conj)
331 (define-key calc-mode-map "jL" 'calc-commute-left)
332 (define-key calc-mode-map "jM" 'calc-sel-merge)
333 (define-key calc-mode-map "jN" 'calc-sel-negate)
334 (define-key calc-mode-map "jO" 'calc-select-once-maybe)
335 (define-key calc-mode-map "jR" 'calc-commute-right)
336 (define-key calc-mode-map "jS" 'calc-select-here-maybe)
337 (define-key calc-mode-map "jU" 'calc-sel-unpack)
338 (define-key calc-mode-map "j&" 'calc-sel-invert)
339 (define-key calc-mode-map "j\r" 'calc-copy-selection)
340 (define-key calc-mode-map "j\n" 'calc-copy-selection)
341 (define-key calc-mode-map "j\010" 'calc-del-selection)
342 (define-key calc-mode-map "j\177" 'calc-del-selection)
343 (define-key calc-mode-map "j'" 'calc-enter-selection)
344 (define-key calc-mode-map "j`" 'calc-edit-selection)
345 (define-key calc-mode-map "j+" 'calc-sel-add-both-sides)
346 (define-key calc-mode-map "j-" 'calc-sel-sub-both-sides)
347 (define-key calc-mode-map "j*" 'calc-sel-mult-both-sides)
348 (define-key calc-mode-map "j/" 'calc-sel-div-both-sides)
349 (define-key calc-mode-map "j\"" 'calc-sel-expand-formula)
351 (define-key calc-mode-map "k" nil)
352 (define-key calc-mode-map "k?" 'calc-k-prefix-help)
353 (define-key calc-mode-map "ka" 'calc-random-again)
354 (define-key calc-mode-map "kb" 'calc-bernoulli-number)
355 (define-key calc-mode-map "kc" 'calc-choose)
356 (define-key calc-mode-map "kd" 'calc-double-factorial)
357 (define-key calc-mode-map "ke" 'calc-euler-number)
358 (define-key calc-mode-map "kf" 'calc-prime-factors)
359 (define-key calc-mode-map "kg" 'calc-gcd)
360 (define-key calc-mode-map "kh" 'calc-shuffle)
361 (define-key calc-mode-map "kl" 'calc-lcm)
362 (define-key calc-mode-map "km" 'calc-moebius)
363 (define-key calc-mode-map "kn" 'calc-next-prime)
364 (define-key calc-mode-map "kp" 'calc-prime-test)
365 (define-key calc-mode-map "kr" 'calc-random)
366 (define-key calc-mode-map "ks" 'calc-stirling-number)
367 (define-key calc-mode-map "kt" 'calc-totient)
368 (define-key calc-mode-map "kB" 'calc-utpb)
369 (define-key calc-mode-map "kC" 'calc-utpc)
370 (define-key calc-mode-map "kE" 'calc-extended-gcd)
371 (define-key calc-mode-map "kF" 'calc-utpf)
372 (define-key calc-mode-map "kK" 'calc-keep-args)
373 (define-key calc-mode-map "kN" 'calc-utpn)
374 (define-key calc-mode-map "kP" 'calc-utpp)
375 (define-key calc-mode-map "kT" 'calc-utpt)
377 (define-key calc-mode-map "m" nil)
378 (define-key calc-mode-map "m?" 'calc-m-prefix-help)
379 (define-key calc-mode-map "ma" 'calc-algebraic-mode)
380 (define-key calc-mode-map "md" 'calc-degrees-mode)
381 (define-key calc-mode-map "mf" 'calc-frac-mode)
382 (define-key calc-mode-map "mg" 'calc-get-modes)
383 (define-key calc-mode-map "mh" 'calc-hms-mode)
384 (define-key calc-mode-map "mi" 'calc-infinite-mode)
385 (define-key calc-mode-map "mm" 'calc-save-modes)
386 (define-key calc-mode-map "mp" 'calc-polar-mode)
387 (define-key calc-mode-map "mr" 'calc-radians-mode)
388 (define-key calc-mode-map "ms" 'calc-symbolic-mode)
389 (define-key calc-mode-map "mt" 'calc-total-algebraic-mode)
390 (define-key calc-mode-map "\emt" 'calc-total-algebraic-mode)
391 (define-key calc-mode-map "\em\et" 'calc-total-algebraic-mode)
392 (define-key calc-mode-map "mv" 'calc-matrix-mode)
393 (define-key calc-mode-map "mw" 'calc-working)
394 (define-key calc-mode-map "mx" 'calc-always-load-extensions)
395 (define-key calc-mode-map "mA" 'calc-alg-simplify-mode)
396 (define-key calc-mode-map "mB" 'calc-bin-simplify-mode)
397 (define-key calc-mode-map "mC" 'calc-auto-recompute)
398 (define-key calc-mode-map "mD" 'calc-default-simplify-mode)
399 (define-key calc-mode-map "mE" 'calc-ext-simplify-mode)
400 (define-key calc-mode-map "mF" 'calc-settings-file-name)
401 (define-key calc-mode-map "mM" 'calc-more-recursion-depth)
402 (define-key calc-mode-map "mN" 'calc-num-simplify-mode)
403 (define-key calc-mode-map "mO" 'calc-no-simplify-mode)
404 (define-key calc-mode-map "mR" 'calc-mode-record-mode)
405 (define-key calc-mode-map "mS" 'calc-shift-prefix)
406 (define-key calc-mode-map "mU" 'calc-units-simplify-mode)
407 (define-key calc-mode-map "mX" 'calc-load-everything)
409 (define-key calc-mode-map "r" nil)
410 (define-key calc-mode-map "r?" 'calc-r-prefix-help)
412 (define-key calc-mode-map "s" nil)
413 (define-key calc-mode-map "s?" 'calc-s-prefix-help)
414 (define-key calc-mode-map "sc" 'calc-copy-variable)
415 (define-key calc-mode-map "sd" 'calc-declare-variable)
416 (define-key calc-mode-map "se" 'calc-edit-variable)
417 (define-key calc-mode-map "si" 'calc-insert-variables)
418 (define-key calc-mode-map "sl" 'calc-let)
419 (define-key calc-mode-map "sm" 'calc-store-map)
420 (define-key calc-mode-map "sn" 'calc-store-neg)
421 (define-key calc-mode-map "sp" 'calc-permanent-variable)
422 (define-key calc-mode-map "sr" 'calc-recall)
423 (define-key calc-mode-map "ss" 'calc-store)
424 (define-key calc-mode-map "st" 'calc-store-into)
425 (define-key calc-mode-map "su" 'calc-unstore)
426 (define-key calc-mode-map "sx" 'calc-store-exchange)
427 (define-key calc-mode-map "sA" 'calc-edit-AlgSimpRules)
428 (define-key calc-mode-map "sD" 'calc-edit-Decls)
429 (define-key calc-mode-map "sE" 'calc-edit-EvalRules)
430 (define-key calc-mode-map "sF" 'calc-edit-FitRules)
431 (define-key calc-mode-map "sG" 'calc-edit-GenCount)
432 (define-key calc-mode-map "sH" 'calc-edit-Holidays)
433 (define-key calc-mode-map "sI" 'calc-edit-IntegLimit)
434 (define-key calc-mode-map "sL" 'calc-edit-LineStyles)
435 (define-key calc-mode-map "sP" 'calc-edit-PointStyles)
436 (define-key calc-mode-map "sR" 'calc-edit-PlotRejects)
437 (define-key calc-mode-map "sS" 'calc-sin)
438 (define-key calc-mode-map "sT" 'calc-edit-TimeZone)
439 (define-key calc-mode-map "sU" 'calc-edit-Units)
440 (define-key calc-mode-map "sX" 'calc-edit-ExtSimpRules)
441 (define-key calc-mode-map "s+" 'calc-store-plus)
442 (define-key calc-mode-map "s-" 'calc-store-minus)
443 (define-key calc-mode-map "s*" 'calc-store-times)
444 (define-key calc-mode-map "s/" 'calc-store-div)
445 (define-key calc-mode-map "s^" 'calc-store-power)
446 (define-key calc-mode-map "s|" 'calc-store-concat)
447 (define-key calc-mode-map "s&" 'calc-store-inv)
448 (define-key calc-mode-map "s[" 'calc-store-decr)
449 (define-key calc-mode-map "s]" 'calc-store-incr)
450 (define-key calc-mode-map "s:" 'calc-assign)
451 (define-key calc-mode-map "s=" 'calc-evalto)
453 (define-key calc-mode-map "t" nil)
454 (define-key calc-mode-map "t?" 'calc-t-prefix-help)
455 (define-key calc-mode-map "tb" 'calc-trail-backward)
456 (define-key calc-mode-map "td" 'calc-trail-display)
457 (define-key calc-mode-map "tf" 'calc-trail-forward)
458 (define-key calc-mode-map "th" 'calc-trail-here)
459 (define-key calc-mode-map "ti" 'calc-trail-in)
460 (define-key calc-mode-map "tk" 'calc-trail-kill)
461 (define-key calc-mode-map "tm" 'calc-trail-marker)
462 (define-key calc-mode-map "tn" 'calc-trail-next)
463 (define-key calc-mode-map "to" 'calc-trail-out)
464 (define-key calc-mode-map "tp" 'calc-trail-previous)
465 (define-key calc-mode-map "tr" 'calc-trail-isearch-backward)
466 (define-key calc-mode-map "ts" 'calc-trail-isearch-forward)
467 (define-key calc-mode-map "ty" 'calc-trail-yank)
468 (define-key calc-mode-map "t[" 'calc-trail-first)
469 (define-key calc-mode-map "t]" 'calc-trail-last)
470 (define-key calc-mode-map "t<" 'calc-trail-scroll-left)
471 (define-key calc-mode-map "t>" 'calc-trail-scroll-right)
472 (define-key calc-mode-map "t{" 'calc-trail-backward)
473 (define-key calc-mode-map "t}" 'calc-trail-forward)
474 (define-key calc-mode-map "t." 'calc-full-trail-vectors)
475 (define-key calc-mode-map "tC" 'calc-convert-time-zones)
476 (define-key calc-mode-map "tD" 'calc-date)
477 (define-key calc-mode-map "tI" 'calc-inc-month)
478 (define-key calc-mode-map "tJ" 'calc-julian)
479 (define-key calc-mode-map "tM" 'calc-new-month)
480 (define-key calc-mode-map "tN" 'calc-now)
481 (define-key calc-mode-map "tP" 'calc-date-part)
482 (define-key calc-mode-map "tT" 'calc-tan)
483 (define-key calc-mode-map "tU" 'calc-unix-time)
484 (define-key calc-mode-map "tW" 'calc-new-week)
485 (define-key calc-mode-map "tY" 'calc-new-year)
486 (define-key calc-mode-map "tZ" 'calc-time-zone)
487 (define-key calc-mode-map "t+" 'calc-business-days-plus)
488 (define-key calc-mode-map "t-" 'calc-business-days-minus)
490 (define-key calc-mode-map "u" 'nil)
491 (define-key calc-mode-map "u?" 'calc-u-prefix-help)
492 (define-key calc-mode-map "ua" 'calc-autorange-units)
493 (define-key calc-mode-map "ub" 'calc-base-units)
494 (define-key calc-mode-map "uc" 'calc-convert-units)
495 (define-key calc-mode-map "ud" 'calc-define-unit)
496 (define-key calc-mode-map "ue" 'calc-explain-units)
497 (define-key calc-mode-map "ug" 'calc-get-unit-definition)
498 (define-key calc-mode-map "up" 'calc-permanent-units)
499 (define-key calc-mode-map "ur" 'calc-remove-units)
500 (define-key calc-mode-map "us" 'calc-simplify-units)
501 (define-key calc-mode-map "ut" 'calc-convert-temperature)
502 (define-key calc-mode-map "uu" 'calc-undefine-unit)
503 (define-key calc-mode-map "uv" 'calc-enter-units-table)
504 (define-key calc-mode-map "ux" 'calc-extract-units)
505 (define-key calc-mode-map "uV" 'calc-view-units-table)
506 (define-key calc-mode-map "uC" 'calc-vector-covariance)
507 (define-key calc-mode-map "uG" 'calc-vector-geometric-mean)
508 (define-key calc-mode-map "uM" 'calc-vector-mean)
509 (define-key calc-mode-map "uN" 'calc-vector-min)
510 (define-key calc-mode-map "uS" 'calc-vector-sdev)
511 (define-key calc-mode-map "uU" 'calc-undo)
512 (define-key calc-mode-map "uX" 'calc-vector-max)
513 (define-key calc-mode-map "u#" 'calc-vector-count)
514 (define-key calc-mode-map "u+" 'calc-vector-sum)
515 (define-key calc-mode-map "u*" 'calc-vector-product)
517 (define-key calc-mode-map "v" 'nil)
518 (define-key calc-mode-map "v?" 'calc-v-prefix-help)
519 (define-key calc-mode-map "va" 'calc-arrange-vector)
520 (define-key calc-mode-map "vb" 'calc-build-vector)
521 (define-key calc-mode-map "vc" 'calc-mcol)
522 (define-key calc-mode-map "vd" 'calc-diag)
523 (define-key calc-mode-map "ve" 'calc-expand-vector)
524 (define-key calc-mode-map "vf" 'calc-vector-find)
525 (define-key calc-mode-map "vh" 'calc-head)
526 (define-key calc-mode-map "vi" 'calc-ident)
527 (define-key calc-mode-map "vk" 'calc-cons)
528 (define-key calc-mode-map "vl" 'calc-vlength)
529 (define-key calc-mode-map "vm" 'calc-mask-vector)
530 (define-key calc-mode-map "vn" 'calc-rnorm)
531 (define-key calc-mode-map "vp" 'calc-pack)
532 (define-key calc-mode-map "vr" 'calc-mrow)
533 (define-key calc-mode-map "vs" 'calc-subvector)
534 (define-key calc-mode-map "vt" 'calc-transpose)
535 (define-key calc-mode-map "vu" 'calc-unpack)
536 (define-key calc-mode-map "vv" 'calc-reverse-vector)
537 (define-key calc-mode-map "vx" 'calc-index)
538 (define-key calc-mode-map "vA" 'calc-apply)
539 (define-key calc-mode-map "vC" 'calc-cross)
540 (define-key calc-mode-map "vD" 'calc-mdet)
541 (define-key calc-mode-map "vE" 'calc-set-enumerate)
542 (define-key calc-mode-map "vF" 'calc-set-floor)
543 (define-key calc-mode-map "vG" 'calc-grade)
544 (define-key calc-mode-map "vH" 'calc-histogram)
545 (define-key calc-mode-map "vI" 'calc-inner-product)
546 (define-key calc-mode-map "vJ" 'calc-conj-transpose)
547 (define-key calc-mode-map "vL" 'calc-mlud)
548 (define-key calc-mode-map "vM" 'calc-map)
549 (define-key calc-mode-map "vN" 'calc-cnorm)
550 (define-key calc-mode-map "vO" 'calc-outer-product)
551 (define-key calc-mode-map "vR" 'calc-reduce)
552 (define-key calc-mode-map "vS" 'calc-sort)
553 (define-key calc-mode-map "vT" 'calc-mtrace)
554 (define-key calc-mode-map "vU" 'calc-accumulate)
555 (define-key calc-mode-map "vV" 'calc-set-union)
556 (define-key calc-mode-map "vX" 'calc-set-xor)
557 (define-key calc-mode-map "v^" 'calc-set-intersect)
558 (define-key calc-mode-map "v-" 'calc-set-difference)
559 (define-key calc-mode-map "v~" 'calc-set-complement)
560 (define-key calc-mode-map "v:" 'calc-set-span)
561 (define-key calc-mode-map "v#" 'calc-set-cardinality)
562 (define-key calc-mode-map "v+" 'calc-remove-duplicates)
563 (define-key calc-mode-map "v&" 'calc-inv)
564 (define-key calc-mode-map "v<" 'calc-matrix-left-justify)
565 (define-key calc-mode-map "v=" 'calc-matrix-center-justify)
566 (define-key calc-mode-map "v>" 'calc-matrix-right-justify)
567 (define-key calc-mode-map "v." 'calc-full-vectors)
568 (define-key calc-mode-map "v/" 'calc-break-vectors)
569 (define-key calc-mode-map "v," 'calc-vector-commas)
570 (define-key calc-mode-map "v[" 'calc-vector-brackets)
571 (define-key calc-mode-map "v]" 'calc-matrix-brackets)
572 (define-key calc-mode-map "v{" 'calc-vector-braces)
573 (define-key calc-mode-map "v}" 'calc-matrix-brackets)
574 (define-key calc-mode-map "v(" 'calc-vector-parens)
575 (define-key calc-mode-map "v)" 'calc-matrix-brackets)
576 ;; We can't rely on the automatic upper->lower conversion because
577 ;; in the global map V is explicitly bound, so we need to bind it
578 ;; explicitly as well :-( --stef
579 (define-key calc-mode-map "V" (lookup-key calc-mode-map "v"))
581 (define-key calc-mode-map "z" 'nil)
582 (define-key calc-mode-map "z?" 'calc-z-prefix-help)
584 (define-key calc-mode-map "Z" 'nil)
585 (define-key calc-mode-map "Z?" 'calc-shift-Z-prefix-help)
586 (define-key calc-mode-map "ZC" 'calc-user-define-composition)
587 (define-key calc-mode-map "ZD" 'calc-user-define)
588 (define-key calc-mode-map "ZE" 'calc-user-define-edit)
589 (define-key calc-mode-map "ZF" 'calc-user-define-formula)
590 (define-key calc-mode-map "ZG" 'calc-get-user-defn)
591 (define-key calc-mode-map "ZI" 'calc-user-define-invocation)
592 (define-key calc-mode-map "ZK" 'calc-user-define-kbd-macro)
593 (define-key calc-mode-map "ZP" 'calc-user-define-permanent)
594 (define-key calc-mode-map "ZS" 'calc-edit-user-syntax)
595 (define-key calc-mode-map "ZT" 'calc-timing)
596 (define-key calc-mode-map "ZU" 'calc-user-undefine)
597 (define-key calc-mode-map "Z[" 'calc-kbd-if)
598 (define-key calc-mode-map "Z:" 'calc-kbd-else)
599 (define-key calc-mode-map "Z|" 'calc-kbd-else-if)
600 (define-key calc-mode-map "Z]" 'calc-kbd-end-if)
601 (define-key calc-mode-map "Z<" 'calc-kbd-repeat)
602 (define-key calc-mode-map "Z>" 'calc-kbd-end-repeat)
603 (define-key calc-mode-map "Z(" 'calc-kbd-for)
604 (define-key calc-mode-map "Z)" 'calc-kbd-end-for)
605 (define-key calc-mode-map "Z{" 'calc-kbd-loop)
606 (define-key calc-mode-map "Z}" 'calc-kbd-end-loop)
607 (define-key calc-mode-map "Z/" 'calc-kbd-break)
608 (define-key calc-mode-map "Z`" 'calc-kbd-push)
609 (define-key calc-mode-map "Z'" 'calc-kbd-pop)
610 (define-key calc-mode-map "Z=" 'calc-kbd-report)
611 (define-key calc-mode-map "Z#" 'calc-kbd-query)
617 (define-key calc-mode-map (format "c%c" x) 'calc-clean-num)
618 (define-key calc-mode-map (format "j%c" x) 'calc-select-part)
619 (define-key calc-mode-map (format "r%c" x) 'calc-recall-quick)
620 (define-key calc-mode-map (format "s%c" x) 'calc-store-quick)
621 (define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick)
622 (define-key calc-mode-map (format "u%c" x) 'calc-quick-units)))
627 (if (eq (car-safe (aref (nth 1 calc-mode-map) i)) 'keymap)
628 (aset (nth 1 calc-mode-map) i
629 (cons 'keymap (cons (cons ?\e (aref (nth 1 calc-mode-map) i))
630 (cdr (aref (nth 1 calc-mode-map) i))))))
633 (setq calc-alg-map (copy-keymap calc-mode-map)
634 calc-alg-esc-map (copy-keymap esc-map))
637 (or (memq i '(?' ?` ?= ??))
638 (aset (nth 1 calc-alg-map) i 'calc-auto-algebraic-entry))
639 (or (memq i '(?# ?x ?0 ?1 ?2 ?3 ?4 ?5 ?6 ?7 ?8 ?9))
640 (aset (nth 1 calc-alg-esc-map) i (aref (nth 1 calc-mode-map) i)))
642 (define-key calc-alg-map "\e" calc-alg-esc-map)
643 (define-key calc-alg-map "\e\t" 'calc-roll-up)
644 (define-key calc-alg-map "\e\C-m" 'calc-last-args-stub)
645 (define-key calc-alg-map "\e\177" 'calc-pop-above)
647 ;;;; (Autoloads here)
648 (mapcar (function (lambda (x)
649 (mapcar (function (lambda (func)
650 (autoload func (car x)))) (cdr x))))
653 ("calc-alg" calc-has-rules math-defsimplify
654 calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
655 calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
656 calcFunc-simplify calcFunc-subst math-beforep
657 math-build-polynomial-expr math-expand-formula math-expr-contains
658 math-expr-contains-count math-expr-depends math-expr-height
659 math-expr-subst math-expr-weight math-integer-plus math-is-linear
660 math-is-multiple math-is-polynomial math-linear-in math-multiple-of
661 math-poly-depends math-poly-mix math-poly-mul
662 math-poly-simplify math-poly-zerop math-polynomial-base
663 math-polynomial-p math-recompile-eval-rules math-simplify
664 math-simplify-exp math-simplify-extended math-simplify-sqrt
665 math-to-simple-fraction)
667 ("calcalg2" calcFunc-asum calcFunc-deriv
668 calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly
669 calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots
670 calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor
671 calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12
672 math-integral-rational-funcs math-lcm-denoms math-looks-evenp
673 math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn
674 math-solve-for math-sum-rec math-try-integral)
676 ("calcalg3" calcFunc-efit calcFunc-fit
677 calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar
678 calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize
679 calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint
680 calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot
681 calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate
682 math-ninteg-midpoint math-ninteg-romberg math-poly-interp)
684 ("calc-arith" calcFunc-abs calcFunc-abssqr
685 calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag
686 calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg
687 calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd
688 calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
689 calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
690 calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
691 calcFunc-idiv calcFunc-incr calcFunc-mant calcFunc-max calcFunc-min
692 calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
693 calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
694 calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
695 math-add-objects-fancy math-add-or-sub math-add-symb-fancy
696 math-ceiling math-combine-prod math-combine-sum math-div-by-zero
697 math-div-objects-fancy math-div-symb-fancy math-div-zero
698 math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg
699 math-intv-constp math-known-evenp math-known-imagp math-known-integerp
700 math-known-matrixp math-known-negp math-known-nonnegp
701 math-known-nonposp math-known-nonzerop math-known-num-integerp
702 math-known-oddp math-known-posp math-known-realp math-known-scalarp
703 math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy
704 math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy
705 math-neg-float math-okay-neg math-possible-signs math-possible-types
706 math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero
707 math-quarter-integer math-round math-setup-declarations math-sqr
708 math-sqr-float math-trunc-fancy math-trunc-special)
710 ("calc-bin" calcFunc-and calcFunc-ash
711 calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or
712 calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip
713 math-compute-max-digits math-convert-radix-digits math-float-parts
714 math-format-bignum-binary math-format-bignum-hex
715 math-format-bignum-octal math-format-bignum-radix math-format-binary
716 math-format-radix math-format-radix-float math-integer-log2
717 math-power-of-2 math-radix-float-power)
719 ("calc-comb" calc-report-prime-test
720 calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact
721 calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime
722 calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime
723 calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2
724 calcFunc-totient math-init-random-base math-member math-prime-test
727 ("calccomp" calcFunc-cascent calcFunc-cdescent
728 calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent
729 math-comp-height math-comp-width math-compose-expr
730 math-composition-to-string math-stack-value-offset-fancy
731 math-vector-is-string math-vector-to-string)
733 ("calc-cplx" calcFunc-arg calcFunc-conj
734 calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex
735 math-fix-circular math-imaginary math-imaginary-i math-normalize-polar
736 math-polar math-want-polar)
738 ("calc-embed" calc-do-embedded
739 calc-do-embedded-activate calc-embedded-evaluate-expr
740 calc-embedded-modes-change calc-embedded-var-change)
742 ("calc-fin" calc-to-percentage calcFunc-ddb
743 calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb
744 calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb
745 calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl
746 calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd)
748 ("calc-forms" calcFunc-badd calcFunc-bsub
749 calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms
750 calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear
751 calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute
752 calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear
753 calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second
754 calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime
755 calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals
756 math-date-parts math-date-to-dt math-div-mod math-dt-to-date
757 math-format-date math-from-business-day math-from-hms math-make-intv
758 math-make-mod math-make-sdev math-mod-intv math-normalize-hms
759 math-normalize-mod math-parse-date math-read-angle-brackets
760 math-setup-add-holidays math-setup-holidays math-setup-year-holidays
761 math-sort-intv math-to-business-day math-to-hms)
763 ("calc-frac" calc-add-fractions
764 calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac
767 ("calc-funcs" calc-prob-dist calcFunc-bern
768 calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB
769 calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler
770 calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ
771 calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf
772 calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc
773 calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt
774 math-bernoulli-number math-gammap1-raw)
776 ("calc-graph" calc-graph-show-tty)
778 ("calc-incom" calc-digit-dots)
780 ("calc-keypd" calc-do-keypad
781 calc-keypad-x-left-click calc-keypad-x-middle-click
782 calc-keypad-x-right-click)
784 ("calc-lang" calc-set-language
785 math-read-big-balance math-read-big-rec)
787 ("calc-map" calc-get-operator calcFunc-accum
788 calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call
789 calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc
790 calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr
791 calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum
792 calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced
793 calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec
794 calcFunc-rreduced calcFunc-rreducer math-build-call
795 math-calcFunc-to-var math-multi-subst math-multi-subst-rec
796 math-var-to-calcFunc)
798 ("calc-mtx" calcFunc-det calcFunc-lud calcFunc-tr
799 math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud
800 math-mul-mat-vec math-mul-mats math-row-matrix)
802 ("calc-math" calcFunc-alog calcFunc-arccos
803 calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh
804 calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-csc
805 calcFunc-csch calcFunc-cos calcFunc-cosh calcFunc-cot calcFunc-coth
806 calcFunc-deg calcFunc-exp calcFunc-exp10 calcFunc-expm1
807 calcFunc-hypot calcFunc-ilog calcFunc-isqrt calcFunc-ln calcFunc-lnp1
808 calcFunc-log calcFunc-log10 calcFunc-nroot calcFunc-rad calcFunc-sec
809 calcFunc-sech calcFunc-sin
810 calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan
811 calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw
812 math-arctan2-raw math-cos-raw math-cot-raw math-csc-raw
813 math-exp-minus-1-raw math-exp-raw
814 math-from-radians math-from-radians-2 math-hypot math-infinite-dir
815 math-isqrt-small math-ln-raw math-nearly-equal math-nearly-equal-float
816 math-nearly-zerop math-nearly-zerop-float math-nth-root
817 math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw
818 math-tan-raw math-to-radians math-to-radians-2)
820 ("calc-mode" math-get-modes-vec)
822 ("calc-poly" calcFunc-apart calcFunc-expand
823 calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat
824 calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide
825 calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim
826 calcFunc-prem math-accum-factors math-atomic-factorp
827 math-div-poly-const math-div-thru math-expand-power math-expand-term
828 math-factor-contains math-factor-expr math-factor-expr-part
829 math-factor-expr-try math-factor-finish math-factor-poly-coefs
830 math-factor-protect math-mul-thru math-padded-polynomial
831 math-partial-fractions math-poly-degree math-poly-deriv-coefs
832 math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p
833 math-to-ratpoly math-to-ratpoly-rec)
835 ("calc-prog" calc-default-formula-arglist
836 calc-execute-kbd-macro calc-finish-user-syntax-edit
837 calc-fix-token-name calc-fix-user-formula calc-read-parse-table
838 calc-read-parse-table-part calc-subsetp calc-write-parse-table
839 calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq
840 calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue
841 calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt
842 calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real
843 calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable
844 math-body-refers-to math-break math-composite-inequalities
845 math-do-defmath math-handle-for math-handle-foreach
846 math-normalize-logical-op math-return)
848 ("calc-rewr" calcFunc-match calcFunc-matches
849 calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches
850 math-apply-rewrites math-compile-patterns math-compile-rewrites
851 math-flatten-lands math-match-patterns math-rewrite
854 ("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules
855 calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules
856 calc-MergeRules calc-NegateRules
857 calc-compile-rule-set)
859 ("calc-sel" calc-auto-selection
860 calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula
861 calc-find-parent-formula calc-find-sub-formula calc-prepare-selection
862 calc-preserve-point calc-replace-selections calc-replace-sub-formula
863 calc-roll-down-with-selections calc-roll-up-with-selections
866 ("calc-stat" calc-vector-op calcFunc-agmean
867 calcFunc-vcorr calcFunc-vcount calcFunc-vcov calcFunc-vflat
868 calcFunc-vgmean calcFunc-vhmean calcFunc-vmax calcFunc-vmean
869 calcFunc-vmeane calcFunc-vmedian calcFunc-vmin calcFunc-vpcov
870 calcFunc-vprod calcFunc-vpsdev calcFunc-vpvar calcFunc-vsdev
871 calcFunc-vsum calcFunc-vvar math-flatten-many-vecs)
873 ("calc-store" calc-read-var-name
874 calc-store-value calc-var-name)
876 ("calc-stuff" calc-explain-why calcFunc-clean
877 calcFunc-pclean calcFunc-pfloat calcFunc-pfrac)
879 ("calc-units" calcFunc-usimplify
880 math-build-units-table math-build-units-table-buffer
881 math-check-unit-name math-convert-temperature math-convert-units
882 math-extract-units math-remove-units math-simplify-units
883 math-single-units-in-expr-p math-to-standard-units
884 math-units-in-expr-p)
886 ("calc-vec" calcFunc-append calcFunc-appendrev
887 calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross
888 calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find
889 calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram
890 calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims
891 calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack
892 calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade
893 calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec
894 calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec
895 calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt
896 calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev
897 calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp
898 calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask
899 calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack
900 calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix
901 math-dimension-error math-dot-product math-flatten-vector math-map-vec
902 math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set
903 math-read-brackets math-reduce-cols math-reduce-vec math-transpose)
905 ("calc-yank" calc-alg-edit calc-clean-newlines
906 calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit
907 calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer)
911 (mapcar (function (lambda (x)
912 (mapcar (function (lambda (cmd)
913 (autoload cmd (car x) nil t))) (cdr x))))
916 ("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
917 calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
918 calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
919 calc-simplify-extended calc-substitute)
921 ("calcalg2" calc-alt-summation calc-derivative
922 calc-dump-integral-cache calc-integral calc-num-integral
923 calc-poly-roots calc-product calc-solve-for calc-summation
924 calc-tabulate calc-taylor)
926 ("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum
927 calc-find-root calc-poly-interp)
929 ("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement
930 calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min
931 calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part)
933 ("calc-bin" calc-and calc-binary-radix calc-clip calc-decimal-radix
934 calc-diff calc-hex-radix calc-leading-zeros calc-lshift-arith
935 calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix
936 calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size
939 ("calc-comb" calc-choose calc-double-factorial calc-extended-gcd
940 calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius
941 calc-next-prime calc-perm calc-prev-prime calc-prime-factors
942 calc-prime-test calc-random calc-random-again calc-rrandom
943 calc-shuffle calc-totient)
945 ("calc-cplx" calc-argument calc-complex-notation calc-i-notation
946 calc-im calc-j-notation calc-polar calc-polar-mode calc-re)
948 ("calc-embed" calc-embedded-copy-formula-as-kill
949 calc-embedded-duplicate calc-embedded-edit calc-embedded-forget
950 calc-embedded-kill-formula calc-embedded-mark-formula
951 calc-embedded-new-formula calc-embedded-next calc-embedded-previous
952 calc-embedded-select calc-embedded-update-formula calc-embedded-word
953 calc-find-globals calc-show-plain)
955 ("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv
956 calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv
957 calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change)
959 ("calc-forms" calc-business-days-minus calc-business-days-plus
960 calc-convert-time-zones calc-date calc-date-notation calc-date-part
961 calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month
962 calc-julian calc-new-month calc-new-week calc-new-year calc-now
963 calc-time calc-time-zone calc-to-hms calc-unix-time)
965 ("calc-frac" calc-fdiv calc-frac-mode calc-fraction
966 calc-over-notation calc-slash-notation)
968 ("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y
969 calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta
970 calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf
971 calc-utpn calc-utpp calc-utpt)
973 ("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border
974 calc-graph-clear calc-graph-command calc-graph-delete
975 calc-graph-device calc-graph-display calc-graph-fast
976 calc-graph-fast-3d calc-graph-geometry calc-graph-grid
977 calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key
978 calc-graph-kill calc-graph-line-style calc-graph-log-x
979 calc-graph-log-y calc-graph-log-z calc-graph-name
980 calc-graph-num-points calc-graph-output calc-graph-plot
981 calc-graph-point-style calc-graph-print calc-graph-quit
982 calc-graph-range-x calc-graph-range-y calc-graph-range-z
983 calc-graph-show-dumb calc-graph-title-x calc-graph-title-y
984 calc-graph-title-z calc-graph-view-commands calc-graph-view-trail
985 calc-graph-zero-x calc-graph-zero-y)
987 ("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help
988 calc-d-prefix-help calc-describe-function calc-describe-key
989 calc-describe-key-briefly calc-describe-variable calc-f-prefix-help
990 calc-full-help calc-g-prefix-help calc-help-prefix
991 calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help
992 calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help
993 calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help
994 calc-t-prefix-help calc-u-prefix-help calc-v-prefix-help)
996 ("calc-incom" calc-begin-complex calc-begin-vector calc-comma
997 calc-dots calc-end-complex calc-end-vector calc-semi)
999 ("calc-keypd" calc-keypad-menu calc-keypad-menu-back
1002 ("calc-lang" calc-big-language calc-c-language calc-eqn-language
1003 calc-flat-language calc-fortran-language calc-maple-language
1004 calc-mathematica-language calc-normal-language calc-pascal-language
1005 calc-tex-language calc-latex-language calc-unformatted-language)
1007 ("calc-map" calc-accumulate calc-apply calc-inner-product calc-map
1008 calc-map-equation calc-map-stack calc-outer-product calc-reduce)
1010 ("calc-mtx" calc-mdet calc-mlud calc-mtrace)
1012 ("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh
1013 calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh
1014 calc-cot calc-coth calc-csc calc-csch
1015 calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog
1016 calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10
1017 calc-pi calc-radians-mode calc-sec calc-sech
1018 calc-sin calc-sincos calc-sinh calc-sqrt
1019 calc-tan calc-tanh calc-to-degrees calc-to-radians)
1021 ("calc-mode" calc-alg-simplify-mode calc-algebraic-mode
1022 calc-always-load-extensions calc-auto-recompute calc-auto-why
1023 calc-bin-simplify-mode calc-break-vectors calc-center-justify
1024 calc-default-simplify-mode calc-display-raw calc-eng-notation
1025 calc-ext-simplify-mode calc-fix-notation calc-full-trail-vectors
1026 calc-full-vectors calc-get-modes calc-group-char calc-group-digits
1027 calc-infinite-mode calc-left-justify calc-left-label
1028 calc-line-breaking calc-line-numbering calc-matrix-brackets
1029 calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode
1030 calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode
1031 calc-normal-notation calc-num-simplify-mode calc-point-char
1032 calc-right-justify calc-right-label calc-save-modes calc-sci-notation
1033 calc-settings-file-name calc-shift-prefix calc-symbolic-mode
1034 calc-total-algebraic-mode calc-truncate-down calc-truncate-stack
1035 calc-truncate-up calc-units-simplify-mode calc-vector-braces
1036 calc-vector-brackets calc-vector-commas calc-vector-parens
1039 ("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax
1040 calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
1041 calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if
1042 calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat
1043 calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push
1044 calc-kbd-query calc-kbd-repeat calc-kbd-report calc-less-equal
1045 calc-less-than calc-logical-and calc-logical-if calc-logical-not
1046 calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal
1047 calc-timing calc-user-define calc-user-define-composition
1048 calc-user-define-edit calc-user-define-formula
1049 calc-user-define-invocation calc-user-define-kbd-macro
1050 calc-user-define-permanent calc-user-undefine)
1052 ("calc-rewr" calc-match calc-rewrite calc-rewrite-selection)
1054 ("calc-sel" calc-break-selections calc-clear-selections
1055 calc-copy-selection calc-del-selection calc-edit-selection
1056 calc-enable-selections calc-enter-selection calc-sel-add-both-sides
1057 calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula
1058 calc-sel-mult-both-sides calc-sel-sub-both-sides
1059 calc-select-additional calc-select-here calc-select-here-maybe
1060 calc-select-less calc-select-more calc-select-next calc-select-once
1061 calc-select-once-maybe calc-select-part calc-select-previous
1062 calc-show-selections calc-unselect)
1064 ("calcsel2" calc-commute-left calc-commute-right calc-sel-commute
1065 calc-sel-distribute calc-sel-invert calc-sel-isolate
1066 calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack)
1068 ("calc-stat" calc-vector-correlation calc-vector-count
1069 calc-vector-covariance calc-vector-geometric-mean
1070 calc-vector-harmonic-mean calc-vector-max calc-vector-mean
1071 calc-vector-mean-error calc-vector-median calc-vector-min
1072 calc-vector-pop-covariance calc-vector-pop-sdev
1073 calc-vector-pop-variance calc-vector-product calc-vector-sdev
1074 calc-vector-sum calc-vector-variance)
1076 ("calc-store" calc-assign calc-copy-variable calc-declare-variable
1077 calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules
1078 calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount
1079 calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles
1080 calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone
1081 calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables
1082 calc-let calc-permanent-variable calc-recall calc-recall-quick
1083 calc-store calc-store-concat calc-store-decr calc-store-div
1084 calc-store-exchange calc-store-incr calc-store-into
1085 calc-store-into-quick calc-store-inv calc-store-map calc-store-minus
1086 calc-store-neg calc-store-plus calc-store-power calc-store-quick
1087 calc-store-times calc-subscript calc-unstore)
1089 ("calc-stuff" calc-clean calc-clean-num calc-flush-caches
1090 calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix
1091 calc-version calc-why)
1093 ("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward
1094 calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward
1095 calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next
1096 calc-trail-out calc-trail-previous calc-trail-scroll-left
1097 calc-trail-scroll-right calc-trail-yank)
1099 ("calc-undo" calc-last-args calc-redo calc-undo)
1101 ("calc-units" calc-autorange-units calc-base-units
1102 calc-convert-temperature calc-convert-units calc-define-unit
1103 calc-enter-units-table calc-explain-units calc-extract-units
1104 calc-get-unit-definition calc-permanent-units calc-quick-units
1105 calc-remove-units calc-simplify-units calc-undefine-unit
1106 calc-view-units-table)
1108 ("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm
1109 calc-conj-transpose calc-cons calc-cross calc-diag
1110 calc-display-strings calc-expand-vector calc-grade calc-head
1111 calc-histogram calc-ident calc-index calc-mask-vector calc-mcol
1112 calc-mrow calc-pack calc-pack-bits calc-remove-duplicates
1113 calc-reverse-vector calc-rnorm calc-set-cardinality
1114 calc-set-complement calc-set-difference calc-set-enumerate
1115 calc-set-floor calc-set-intersect calc-set-span calc-set-union
1116 calc-set-xor calc-sort calc-subvector calc-tail calc-transpose
1117 calc-unpack calc-unpack-bits calc-vector-find calc-vlength)
1119 ("calc-yank" calc-copy-as-kill calc-copy-region-as-kill
1120 calc-copy-to-buffer calc-edit calc-edit-cancel calc-edit-mode
1121 calc-kill calc-kill-region calc-yank))))
1123 (defun calc-init-prefixes ()
1124 (if calc-shift-prefix
1126 (define-key calc-mode-map "A" (lookup-key calc-mode-map "a"))
1127 (define-key calc-mode-map "B" (lookup-key calc-mode-map "b"))
1128 (define-key calc-mode-map "C" (lookup-key calc-mode-map "c"))
1129 (define-key calc-mode-map "D" (lookup-key calc-mode-map "d"))
1130 (define-key calc-mode-map "F" (lookup-key calc-mode-map "f"))
1131 (define-key calc-mode-map "G" (lookup-key calc-mode-map "g"))
1132 (define-key calc-mode-map "J" (lookup-key calc-mode-map "j"))
1133 (define-key calc-mode-map "K" (lookup-key calc-mode-map "k"))
1134 (define-key calc-mode-map "M" (lookup-key calc-mode-map "m"))
1135 (define-key calc-mode-map "S" (lookup-key calc-mode-map "s"))
1136 (define-key calc-mode-map "T" (lookup-key calc-mode-map "t"))
1137 (define-key calc-mode-map "U" (lookup-key calc-mode-map "u")))
1138 (define-key calc-mode-map "A" 'calc-abs)
1139 (define-key calc-mode-map "B" 'calc-log)
1140 (define-key calc-mode-map "C" 'calc-cos)
1141 (define-key calc-mode-map "D" 'calc-redo)
1142 (define-key calc-mode-map "F" 'calc-floor)
1143 (define-key calc-mode-map "G" 'calc-argument)
1144 (define-key calc-mode-map "J" 'calc-conj)
1145 (define-key calc-mode-map "K" 'calc-keep-args)
1146 (define-key calc-mode-map "M" 'calc-more-recursion-depth)
1147 (define-key calc-mode-map "S" 'calc-sin)
1148 (define-key calc-mode-map "T" 'calc-tan)
1149 (define-key calc-mode-map "U" 'calc-undo)))
1151 (calc-init-extensions)
1158 ;; calc-command-flags is declared in calc.el
1159 (defvar calc-command-flags)
1161 (defun calc-clear-command-flag (f)
1162 (setq calc-command-flags (delq f calc-command-flags)))
1165 (defun calc-record-message (tag &rest args)
1166 (let ((msg (apply 'format args)))
1168 (calc-record msg tag))
1169 (calc-clear-command-flag 'clear-message))
1172 (defun calc-normalize-fancy (val)
1173 (let ((simp (if (consp calc-simplify-mode)
1174 (car calc-simplify-mode)
1175 calc-simplify-mode)))
1176 (cond ((eq simp 'binary)
1177 (let ((s (math-normalize val)))
1179 (math-clip (math-round s))
1182 (math-simplify val))
1184 (math-simplify-extended val))
1186 (math-simplify-units val))
1188 (math-normalize val)))))
1192 (if (boundp 'calc-help-map)
1194 (setq calc-help-map (make-keymap))
1195 (define-key calc-help-map "b" 'calc-describe-bindings)
1196 (define-key calc-help-map "c" 'calc-describe-key-briefly)
1197 (define-key calc-help-map "f" 'calc-describe-function)
1198 (define-key calc-help-map "h" 'calc-full-help)
1199 (define-key calc-help-map "i" 'calc-info)
1200 (define-key calc-help-map "k" 'calc-describe-key)
1201 (define-key calc-help-map "n" 'calc-view-news)
1202 (define-key calc-help-map "s" 'calc-info-summary)
1203 (define-key calc-help-map "t" 'calc-tutorial)
1204 (define-key calc-help-map "v" 'calc-describe-variable)
1205 (define-key calc-help-map "\C-c" 'calc-describe-copying)
1206 (define-key calc-help-map "\C-d" 'calc-describe-distribution)
1207 (define-key calc-help-map "\C-n" 'calc-view-news)
1208 (define-key calc-help-map "\C-w" 'calc-describe-no-warranty)
1209 (define-key calc-help-map "?" 'calc-help-for-help)
1210 (define-key calc-help-map "\C-h" 'calc-help-for-help))
1212 (defvar calc-prefix-help-phase 0)
1213 (defun calc-do-prefix-help (msgs group key)
1214 (if calc-full-help-flag
1215 (list msgs group key)
1218 (setq calc-prefix-help-phase
1219 (if (eq this-command last-command)
1220 (% (1+ calc-prefix-help-phase) (1+ (length msgs)))
1222 (let ((msg (nth calc-prefix-help-phase msgs)))
1223 (message "%s" (if msg
1224 (concat group ": " msg ":"
1226 (- (apply 'max (mapcar 'length msgs))
1230 (concat " " (char-to-string key)
1233 (if key (format "%c-" key) "")))))
1234 (setq calc-prefix-help-phase 0)
1237 (message "%s: %s: %c-" group (car msgs) key)
1238 (message "%s: (none) %c-" group key))
1239 (message "%s: %s" group (car msgs))))
1240 (and key (calc-unread-command key))))
1247 (defun calc-reset (arg)
1249 (setq arg (if arg (prefix-numeric-value arg) nil))
1253 (equal (aref calc-embedded-info 0) (current-buffer))
1254 (<= (point) (aref calc-embedded-info 5))
1255 (>= (point) (aref calc-embedded-info 4)))
1256 (let ((cbuf (aref calc-embedded-info 1))
1257 (calc-embedded-quiet t))
1258 (save-window-excursion
1262 (calc-embedded nil)))
1263 ((eq major-mode 'calc-mode)
1265 (unless (and arg (> (abs arg) 0))
1266 (setq calc-stack nil))
1267 (setq calc-undo-list nil
1269 (let (calc-stack calc-user-parse-tables calc-standard-date-formats
1270 calc-invocation-macro)
1271 (mapcar (function (lambda (v) (set v nil))) calc-local-var-list)
1272 (if (and arg (<= arg 0))
1273 (calc-mode-var-list-restore-default-values)
1274 (calc-mode-var-list-restore-saved-values)))
1275 (calc-set-language nil nil t)
1277 (calc-flush-caches t)
1278 (run-hooks 'calc-reset-hook))
1280 (let ((win (get-buffer-window (current-buffer))))
1282 ;; Adjust the window height if the window is visible, but doesn't
1283 ;; take up the whole height of the frame.
1286 (< (window-height win) (1- (frame-height))))
1287 (let ((height (- (window-height win) 2)))
1288 (set-window-point win (point))
1289 (or (= height calc-window-height)
1290 (let ((swin (selected-window)))
1292 (enlarge-window (- calc-window-height height))
1293 (select-window swin)))))))
1294 (message "(Calculator reset)"))
1296 (message "(Not inside a Calc buffer)"))))
1298 ;; What a pain; scroll-left behaves differently when called non-interactively.
1299 (defun calc-scroll-left (n)
1301 (setq prefix-arg (or n (/ (window-width) 2)))
1302 (call-interactively #'scroll-left))
1304 (defun calc-scroll-right (n)
1306 (setq prefix-arg (or n (/ (window-width) 2)))
1307 (call-interactively #'scroll-right))
1309 (defun calc-scroll-up (n)
1312 (scroll-up (or n (/ (window-height) 2)))
1314 (if (pos-visible-in-window-p (max 1 (- (point-max) 2)))
1315 (if (eq major-mode 'calc-mode)
1317 (goto-char (point-max))
1318 (set-window-start (selected-window)
1320 (forward-line (- (1- (window-height))))
1322 (forward-line -1))))
1324 (defun calc-scroll-down (n)
1326 (or (pos-visible-in-window-p 1)
1327 (scroll-down (or n (/ (window-height) 2)))))
1330 (defun calc-precision (n)
1331 (interactive "NPrecision: ")
1333 (if (< (prefix-numeric-value n) 3)
1334 (error "Precision must be at least 3 digits")
1335 (calc-change-mode 'calc-internal-prec (prefix-numeric-value n)
1336 (and (memq (car calc-float-format) '(float sci eng))
1337 (< (nth 1 calc-float-format)
1338 (if (= calc-number-radix 10) 0 1))))
1339 (calc-record calc-internal-prec "prec"))
1340 (message "Floating-point precision is %d digits" calc-internal-prec)))
1343 (defun calc-inverse (&optional n)
1345 (let* ((hyp-flag (if (or
1346 (eq major-mode 'calc-keypad-mode)
1347 (eq major-mode 'calc-trail-mode))
1348 (with-current-buffer calc-main-buffer
1349 calc-hyperbolic-flag)
1350 calc-hyperbolic-flag))
1352 "Inverse Hyperbolic..."
1354 (calc-fancy-prefix 'calc-inverse-flag msg n)))
1356 (defconst calc-fancy-prefix-map
1357 (let ((map (make-sparse-keymap)))
1358 (define-key map [t] 'calc-fancy-prefix-other-key)
1359 (define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key)
1360 (define-key map [switch-frame] nil)
1361 (define-key map [?\C-u] 'universal-argument)
1362 (define-key map [?0] 'digit-argument)
1363 (define-key map [?1] 'digit-argument)
1364 (define-key map [?2] 'digit-argument)
1365 (define-key map [?3] 'digit-argument)
1366 (define-key map [?4] 'digit-argument)
1367 (define-key map [?5] 'digit-argument)
1368 (define-key map [?6] 'digit-argument)
1369 (define-key map [?7] 'digit-argument)
1370 (define-key map [?8] 'digit-argument)
1371 (define-key map [?9] 'digit-argument)
1373 "Keymap used while processing calc-fancy-prefix.")
1375 (defvar calc-is-keypad-press nil)
1376 (defun calc-fancy-prefix (flag msg n)
1379 (calc-set-command-flag 'keep-flags)
1380 (calc-set-command-flag 'no-align)
1381 (setq prefix (set flag (not (symbol-value flag)))
1383 (message (if prefix msg "")))
1385 (not calc-is-keypad-press)
1386 (if (boundp 'overriding-terminal-local-map)
1387 (setq overriding-terminal-local-map calc-fancy-prefix-map)
1388 (let ((event (calc-read-key t)))
1389 (if (eq (setq last-command-char (car event)) ?\C-u)
1390 (universal-argument)
1391 (if (or (not (integerp last-command-char))
1392 (and (>= last-command-char 0) (< last-command-char ? )
1393 (not (memq last-command-char '(?\e)))))
1394 (calc-wrapper)) ; clear flags if not a Calc command.
1395 (setq last-command-event (cdr event))
1396 (if (or (not (integerp last-command-char))
1397 (eq last-command-char ?-))
1398 (calc-unread-command)
1399 (digit-argument n))))))))
1401 (defun calc-fancy-prefix-other-key (arg)
1404 (not (eq last-command-char 'tab))
1405 (not (eq last-command-char 'M-tab))
1406 (or (not (integerp last-command-char))
1407 (and (>= last-command-char 0) (< last-command-char ? )
1408 (not (eq last-command-char meta-prefix-char)))))
1409 (calc-wrapper)) ; clear flags if not a Calc command.
1410 (setq prefix-arg arg)
1411 (calc-unread-command)
1412 (setq overriding-terminal-local-map nil))
1414 (defun calc-invert-func ()
1416 (calc-select-buffer)
1417 (setq calc-inverse-flag (not (calc-is-inverse))
1418 calc-hyperbolic-flag (calc-is-hyperbolic)
1419 current-prefix-arg nil)))
1421 (defun calc-is-inverse ()
1424 (defun calc-hyperbolic (&optional n)
1426 (let* ((inv-flag (if (or
1427 (eq major-mode 'calc-keypad-mode)
1428 (eq major-mode 'calc-trail-mode))
1429 (with-current-buffer calc-main-buffer
1433 "Inverse Hyperbolic..."
1435 (calc-fancy-prefix 'calc-hyperbolic-flag msg n)))
1437 (defun calc-hyperbolic-func ()
1439 (calc-select-buffer)
1440 (setq calc-inverse-flag (calc-is-inverse)
1441 calc-hyperbolic-flag (not (calc-is-hyperbolic))
1442 current-prefix-arg nil)))
1444 (defun calc-is-hyperbolic ()
1445 calc-hyperbolic-flag)
1447 (defun calc-keep-args (&optional n)
1449 (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
1452 (defun calc-change-mode (var value &optional refresh option)
1454 (setq value (if value
1455 (> (prefix-numeric-value value) 0)
1456 (not (symbol-value var)))))
1457 (or (consp var) (setq var (list var) value (list value)))
1458 (if calc-inverse-flag
1460 (or refresh (error "Not a display-mode command"))
1461 (calc-check-stack 1)
1465 (setq old (cons (symbol-value (car v)) old))
1466 (set (car v) (car value))
1469 (calc-refresh-top 1)
1470 (calc-refresh-evaltos)
1471 (symbol-value (car var)))
1473 (setq old (nreverse old))
1475 (set (car v) (car old))
1478 (if (eq (car var) 'calc-language)
1479 (calc-set-language calc-language calc-language-option t)))))
1483 (or (equal (symbol-value (car v)) (car value))
1485 (set (car v) (car value))
1486 (if (eq (car v) 'calc-float-format)
1487 (setq calc-full-float-format
1488 (list (if (eq (car (car value)) 'fix)
1497 (or (and refresh (calc-do-refresh))
1498 (calc-refresh-evaltos))
1499 (and (eq calc-mode-save-mode 'save)
1500 (not (equal var '(calc-mode-save-mode)))
1501 (calc-save-modes))))
1502 (if calc-embedded-info (calc-embedded-modes-change var))
1503 (symbol-value (car var)))))
1505 (defun calc-toggle-banner ()
1506 "Toggle display of the friendly greeting calc normally shows above the stack."
1508 (setq calc-show-banner (not calc-show-banner))
1511 (defun calc-refresh-top (n)
1516 (let ((entry (calc-top n 'entry))
1517 (calc-undo-list nil) (calc-redo-list nil))
1518 (calc-pop-stack 1 n t)
1519 (calc-push-list (list (car entry)) n (list (nth 2 entry)))))
1523 (let ((entries (calc-top-list n 1 'entry))
1524 (calc-undo-list nil) (calc-redo-list nil))
1525 (calc-pop-stack n 1 t)
1526 (calc-push-list (mapcar 'car entries)
1528 (mapcar (function (lambda (x) (nth 2 x)))
1531 (defvar calc-refreshing-evaltos nil)
1532 (defvar calc-no-refresh-evaltos nil)
1533 (defun calc-refresh-evaltos (&optional which-var)
1534 (and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos)
1535 (let ((calc-refreshing-evaltos t)
1536 (num (calc-stack-size))
1537 (calc-undo-list nil) (calc-redo-list nil)
1540 (setq value (calc-top num 'entry))
1541 (if (and (not (nth 2 value))
1542 (setq value (car value))
1543 (or (eq (car-safe value) 'calcFunc-evalto)
1544 (and (eq (car-safe value) 'vec)
1545 (eq (car-safe (nth 1 value)) 'calcFunc-evalto))))
1547 (setq new-val (math-normalize value))
1548 (or (equal new-val value)
1550 (calc-push-list (list new-val) num)
1551 (calc-pop-stack 1 (1+ num) t)))))
1552 (setq num (1- num)))))
1553 (and calc-embedded-active which-var
1554 (calc-embedded-var-change which-var)))
1556 (defun calc-push (&rest vals)
1557 (calc-push-list vals))
1559 (defun calc-pop-push (n &rest vals)
1560 (calc-pop-push-list n vals))
1562 (defun calc-pop-push-record (n prefix &rest vals)
1563 (calc-pop-push-record-list n prefix vals))
1566 (defun calc-evaluate (n)
1570 (setq n (calc-stack-size)))
1571 (calc-with-default-simplification
1573 (calc-pop-push-record-list 1 "eval"
1574 (math-evaluate-expr (calc-top (- n)))
1576 (calc-pop-push-record-list n "eval" (mapcar 'math-evaluate-expr
1577 (calc-top-list n)))))
1578 (calc-handle-whys)))
1581 (defun calc-eval-num (n)
1584 (let* ((nn (prefix-numeric-value n))
1585 (calc-internal-prec (cond ((>= nn 3) nn)
1586 ((< nn 0) (max (+ calc-internal-prec nn)
1588 (t calc-internal-prec)))
1589 (calc-symbolic-mode nil))
1590 (calc-with-default-simplification
1591 (calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1)))))
1592 (calc-handle-whys)))
1595 (defun calc-execute-extended-command (n)
1597 (let* ((prompt (concat (calc-num-prefix-name n) "M-x "))
1598 (cmd (intern (completing-read prompt obarray 'commandp t "calc-"))))
1600 (command-execute cmd)))
1603 (defun calc-realign (&optional num)
1605 (if (and num (eq major-mode 'calc-mode))
1607 (calc-check-stack num)
1608 (calc-cursor-stack-index num)
1609 (and calc-line-numbering
1611 (if (and calc-embedded-info
1612 (eq (current-buffer) (aref calc-embedded-info 0)))
1614 (goto-char (aref calc-embedded-info 2))
1615 (if (save-excursion (set-buffer (aref calc-embedded-info 1))
1619 (if (get-buffer-window (current-buffer))
1620 (set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
1622 (defvar math-cache-list nil)
1624 (defun calc-var-value (v)
1628 (if (symbolp (symbol-value v))
1629 (set v (funcall (symbol-value v)))
1630 (if (stringp (symbol-value v))
1631 (let ((val (math-read-expr (symbol-value v))))
1632 (if (eq (car-safe val) 'error)
1633 (error "Bad format in variable contents: %s" (nth 2 val))
1635 (symbol-value v)))))
1637 ;;; In the following table, ( OP LOPS ROPS ) means that if an OP
1638 ;;; term appears as the first argument to any LOPS term, or as the
1639 ;;; second argument to any ROPS term, then they should be treated
1640 ;;; as one large term for purposes of associative selection.
1641 (defconst calc-assoc-ops '( ( + ( + - ) ( + ) )
1646 ( calcFunc-land ( calcFunc-land )
1648 ( calcFunc-lor ( calcFunc-lor )
1649 ( calcFunc-lor ) ) ))
1652 (defvar var-CommuteRules 'calc-CommuteRules)
1653 (defvar var-JumpRules 'calc-JumpRules)
1654 (defvar var-DistribRules 'calc-DistribRules)
1655 (defvar var-MergeRules 'calc-MergeRules)
1656 (defvar var-NegateRules 'calc-NegateRules)
1657 (defvar var-InvertRules 'calc-InvertRules)
1660 (defconst calc-tweak-eqn-table '( ( calcFunc-eq calcFunc-eq calcFunc-neq )
1661 ( calcFunc-neq calcFunc-neq calcFunc-eq )
1662 ( calcFunc-lt calcFunc-gt calcFunc-geq )
1663 ( calcFunc-gt calcFunc-lt calcFunc-leq )
1664 ( calcFunc-leq calcFunc-geq calcFunc-gt )
1665 ( calcFunc-geq calcFunc-leq calcFunc-lt ) ))
1670 (defun calc-float (arg)
1673 (calc-unary-op "flt"
1674 (if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat)
1678 (defvar calc-gnuplot-process nil)
1679 (defvar calc-gnuplot-input)
1680 (defvar calc-gnuplot-buffer)
1682 (defun calc-gnuplot-alive ()
1683 (and calc-gnuplot-process
1685 (buffer-name calc-gnuplot-buffer)
1687 (buffer-name calc-gnuplot-input)
1688 (memq (process-status calc-gnuplot-process) '(run stop))))
1694 (defun calc-load-everything ()
1696 (require 'calc-aent)
1698 (require 'calc-arith)
1700 (require 'calc-comb)
1701 (require 'calc-cplx)
1702 (require 'calc-embed)
1704 (require 'calc-forms)
1705 (require 'calc-frac)
1706 (require 'calc-funcs)
1707 (require 'calc-graph)
1708 (require 'calc-help)
1709 (require 'calc-incom)
1710 (require 'calc-keypd)
1711 (require 'calc-lang)
1712 (require 'calc-macs)
1714 (require 'calc-math)
1715 (require 'calc-misc)
1716 (require 'calc-mode)
1718 (require 'calc-poly)
1719 (require 'calc-prog)
1720 (require 'calc-rewr)
1721 (require 'calc-rules)
1723 (require 'calc-stat)
1724 (require 'calc-store)
1725 (require 'calc-stuff)
1726 (require 'calc-trail)
1727 (require 'calc-undo)
1728 (require 'calc-units)
1730 (require 'calc-yank)
1736 (message "All parts of Calc are now loaded"))
1739 ;;; Vector commands.
1741 (defun calc-concat (arg)
1744 (if (calc-is-inverse)
1745 (if (calc-is-hyperbolic)
1746 (calc-enter-result 2 "apnd" (list 'calcFunc-append
1747 (calc-top 1) (calc-top 2)))
1748 (calc-enter-result 2 "|" (list 'calcFunc-vconcat
1749 (calc-top 1) (calc-top 2))))
1750 (if (calc-is-hyperbolic)
1751 (calc-binary-op "apnd" 'calcFunc-append arg '(vec))
1752 (calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|)))))
1754 (defun calc-append (arg)
1756 (calc-hyperbolic-func)
1760 (defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB )
1761 ( var ArgC var-ArgC ) ( var ArgD var-ArgD )
1762 ( var ArgE var-ArgE ) ( var ArgF var-ArgF )
1763 ( var ArgG var-ArgG ) ( var ArgH var-ArgH )
1764 ( var ArgI var-ArgI ) ( var ArgJ var-ArgJ )
1767 (defun calc-invent-args (n)
1768 (nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values))))
1775 (defun calc-user-key-map ()
1776 (if calc-emacs-type-lucid
1777 (error "User-defined keys are not supported in Lucid Emacs"))
1778 (let ((res (cdr (lookup-key calc-mode-map "z"))))
1779 (if (eq (car (car res)) 27)
1783 (defvar calc-z-prefix-buf nil)
1784 (defvar calc-z-prefix-msgs nil)
1786 (defun calc-z-prefix-help ()
1788 (let* ((calc-z-prefix-msgs nil)
1789 (calc-z-prefix-buf "")
1790 (kmap (sort (copy-sequence (calc-user-key-map))
1791 (function (lambda (x y) (< (car x) (car y))))))
1792 (flags (apply 'logior
1795 (calc-user-function-classify (car k))))
1797 (if (= (logand flags 8) 0)
1798 (calc-user-function-list kmap 7)
1799 (calc-user-function-list kmap 1)
1800 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)
1801 calc-z-prefix-buf "")
1802 (calc-user-function-list kmap 6))
1804 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)))
1805 (calc-do-prefix-help (nreverse calc-z-prefix-msgs) "user" ?z)))
1807 (defun calc-user-function-classify (key)
1808 (cond ((/= key (downcase key)) ; upper-case
1809 (if (assq (downcase key) (calc-user-key-map)) 9 1))
1810 ((/= key (upcase key)) 2) ; lower-case
1814 (defun calc-user-function-list (map flags)
1816 (let* ((key (car (car map)))
1817 (kind (calc-user-function-classify key))
1818 (func (cdr (car map))))
1819 (if (or (= (logand kind flags) 0)
1820 (not (symbolp func)))
1822 (let* ((name (symbol-name func))
1823 (name (if (string-match "\\`calc-" name)
1824 (substring name 5) name))
1825 (pos (string-match (char-to-string key) name))
1828 (if (= (logand kind 3) 0)
1829 (format "`%c' = %s" key name)
1832 (downcase (substring name 0 pos))
1834 (downcase (substring name (1+ pos))))
1838 (char-to-string (upcase key)))))
1839 (if (= (length calc-z-prefix-buf) 0)
1840 (setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1842 (if (> (+ (length calc-z-prefix-buf) (length desc)) 58)
1843 (setq calc-z-prefix-msgs
1844 (cons calc-z-prefix-buf calc-z-prefix-msgs)
1845 calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1847 (setq calc-z-prefix-buf (concat calc-z-prefix-buf ", " desc))))))
1848 (calc-user-function-list (cdr map) flags))))
1852 (defun calc-shift-Z-prefix-help ()
1854 (calc-do-prefix-help
1855 '("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn"
1856 "Composition, Syntax; Invocation; Permanent; Timing"
1857 "kbd-macros: [ (if), : (else), | (else-if), ] (end-if)"
1858 "kbd-macros: < > (repeat), ( ) (for), { } (loop)"
1859 "kbd-macros: / (break)"
1860 "kbd-macros: ` (save), ' (restore)")
1866 (defmacro math-defcache (name init form)
1867 (let ((cache-prec (intern (concat (symbol-name name) "-cache-prec")))
1868 (cache-val (intern (concat (symbol-name name) "-cache")))
1869 (last-prec (intern (concat (symbol-name name) "-last-prec")))
1870 (last-val (intern (concat (symbol-name name) "-last"))))
1872 (list 'defvar cache-prec (if init (math-numdigs (nth 1 init)) -100))
1873 (list 'defvar cache-val (list 'quote init))
1874 (list 'defvar last-prec -100)
1875 (list 'defvar last-val nil)
1876 (list 'setq 'math-cache-list
1878 (list 'quote cache-prec)
1880 (list 'quote last-prec)
1885 (list '= last-prec 'calc-internal-prec)
1888 (list 'math-normalize
1891 (list '>= cache-prec
1892 'calc-internal-prec)
1896 '((calc-internal-prec
1897 (+ calc-internal-prec
1901 '(+ calc-internal-prec 2)))
1903 last-prec 'calc-internal-prec))
1905 (put 'math-defcache 'lisp-indent-hook 2)
1907 ;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public]
1908 (math-defcache math-pi (float (bigpos 463 238 793 589 653 592 141 3) -21)
1909 (math-add-float (math-mul-float '(float 16 0)
1910 (math-arctan-raw '(float 2 -1)))
1911 (math-mul-float '(float -4 0)
1913 (math-float '(frac 1 239))))))
1915 (math-defcache math-two-pi nil
1916 (math-mul-float (math-pi) '(float 2 0)))
1918 (math-defcache math-pi-over-2 nil
1919 (math-mul-float (math-pi) '(float 5 -1)))
1921 (math-defcache math-pi-over-4 nil
1922 (math-mul-float (math-pi) '(float 25 -2)))
1924 (math-defcache math-pi-over-180 nil
1925 (math-div-float (math-pi) '(float 18 1)))
1927 (math-defcache math-sqrt-pi nil
1928 (math-sqrt-float (math-pi)))
1930 (math-defcache math-sqrt-2 nil
1931 (math-sqrt-float '(float 2 0)))
1933 (math-defcache math-sqrt-12 nil
1934 (math-sqrt-float '(float 12 0)))
1936 (math-defcache math-sqrt-two-pi nil
1937 (math-sqrt-float (math-two-pi)))
1939 (math-defcache math-sqrt-e (float (bigpos 849 146 128 700 270 721 648 1) -21)
1940 (math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
1942 (math-defcache math-e nil
1943 (math-pow (math-sqrt-e) 2))
1945 (math-defcache math-phi nil
1946 (math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
1949 (math-defcache math-gamma-const nil
1950 '(float (bigpos 495 467 917 632 470 369 709 646 776 267 677 848 348 672
1951 057 988 235 399 359 593 421 310 024 824 900 120 065 606
1952 328 015 649 156 772 5) -100))
1954 (defun math-half-circle (symb)
1955 (if (eq calc-angle-mode 'rad)
1961 (defun math-full-circle (symb)
1962 (math-mul 2 (math-half-circle symb)))
1964 (defun math-quarter-circle (symb)
1965 (math-div (math-half-circle symb) 2))
1967 (defvar math-expand-formulas nil)
1969 ;;;; Miscellaneous math routines.
1971 ;;; True if A is an odd integer. [P R R] [Public]
1972 (defun math-oddp (a)
1974 (and (memq (car a) '(bigpos bigneg))
1975 (= (% (nth 1 a) 2) 1))
1978 ;;; True if A is a small or big integer. [P x] [Public]
1979 (defun math-integerp (a)
1981 (memq (car-safe a) '(bigpos bigneg))))
1983 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
1984 (defun math-natnump (a)
1986 (eq (car-safe a) 'bigpos)))
1988 ;;; True if A is a rational (or integer). [P x] [Public]
1989 (defun math-ratp (a)
1991 (memq (car-safe a) '(bigpos bigneg frac))))
1993 ;;; True if A is a real (or rational). [P x] [Public]
1994 (defun math-realp (a)
1996 (memq (car-safe a) '(bigpos bigneg frac float))))
1998 ;;; True if A is a real or HMS form. [P x] [Public]
1999 (defun math-anglep (a)
2001 (memq (car-safe a) '(bigpos bigneg frac float hms))))
2003 ;;; True if A is a number of any kind. [P x] [Public]
2004 (defun math-numberp (a)
2006 (memq (car-safe a) '(bigpos bigneg frac float cplx polar))))
2008 ;;; True if A is a complex number or angle. [P x] [Public]
2009 (defun math-scalarp (a)
2011 (memq (car-safe a) '(bigpos bigneg frac float cplx polar hms))))
2013 ;;; True if A is a vector. [P x] [Public]
2014 (defun math-vectorp (a)
2015 (eq (car-safe a) 'vec))
2017 ;;; True if A is any vector or scalar data object. [P x]
2018 (defun math-objvecp (a) ; [Public]
2020 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2021 hms date sdev intv mod vec incomplete))))
2023 ;;; True if A is an object not composed of sub-formulas . [P x] [Public]
2024 (defun math-primp (a)
2026 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2027 hms date mod var))))
2029 ;;; True if A is numerically (but not literally) an integer. [P x] [Public]
2030 (defun math-messy-integerp (a)
2032 ((eq (car-safe a) 'float) (>= (nth 2 a) 0))
2033 ((eq (car-safe a) 'frac) (Math-integerp (math-normalize a)))))
2035 ;;; True if A is numerically an integer. [P x] [Public]
2036 (defun math-num-integerp (a)
2037 (or (Math-integerp a)
2038 (Math-messy-integerp a)))
2040 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2041 (defun math-num-natnump (a)
2043 (eq (car-safe a) 'bigpos)
2044 (and (eq (car-safe a) 'float)
2045 (Math-natnump (nth 1 a))
2048 ;;; True if A is an integer or will evaluate to an integer. [P x] [Public]
2049 (defun math-provably-integerp (a)
2050 (or (Math-integerp a)
2051 (and (memq (car-safe a) '(calcFunc-trunc
2059 ;;; True if A is a real or will evaluate to a real. [P x] [Public]
2060 (defun math-provably-realp (a)
2062 (math-provably-integer a)
2063 (memq (car-safe a) '(abs arg))))
2065 ;;; True if A is a non-real, complex number. [P x] [Public]
2066 (defun math-complexp (a)
2067 (memq (car-safe a) '(cplx polar)))
2069 ;;; True if A is a non-real, rectangular complex number. [P x] [Public]
2070 (defun math-rect-complexp (a)
2071 (eq (car-safe a) 'cplx))
2073 ;;; True if A is a non-real, polar complex number. [P x] [Public]
2074 (defun math-polar-complexp (a)
2075 (eq (car-safe a) 'polar))
2077 ;;; True if A is a matrix. [P x] [Public]
2078 (defun math-matrixp (a)
2079 (and (Math-vectorp a)
2080 (Math-vectorp (nth 1 a))
2082 (let ((len (length (nth 1 a))))
2084 (while (and (setq a (cdr a))
2085 (Math-vectorp (car a))
2086 (= (length (car a)) len)))
2089 (defun math-matrixp-step (a len) ; [P L]
2091 (and (Math-vectorp (car a))
2092 (= (length (car a)) len)
2093 (math-matrixp-step (cdr a) len))))
2095 ;;; True if A is a square matrix. [P V] [Public]
2096 (defun math-square-matrixp (a)
2097 (let ((dims (math-mat-dimens a)))
2099 (= (car dims) (nth 1 dims)))))
2101 ;;; True if A is any scalar data object. [P x]
2102 (defun math-objectp (a) ; [Public]
2104 (memq (car-safe a) '(bigpos bigneg frac float cplx
2105 polar hms date sdev intv mod))))
2107 ;;; Verify that A is an integer and return A in integer form. [I N; - x]
2108 (defun math-check-integer (a) ; [Public]
2109 (cond ((integerp a) a) ; for speed
2110 ((math-integerp a) a)
2111 ((math-messy-integerp a)
2113 (t (math-reject-arg a 'integerp))))
2115 ;;; Verify that A is a small integer and return A in integer form. [S N; - x]
2116 (defun math-check-fixnum (a &optional allow-inf) ; [Public]
2117 (cond ((integerp a) a) ; for speed
2118 ((Math-num-integerp a)
2119 (let ((a (math-trunc a)))
2122 (if (or (Math-lessp (lsh -1 -1) a)
2123 (Math-lessp a (- (lsh -1 -1))))
2124 (math-reject-arg a 'fixnump)
2126 ((and allow-inf (equal a '(var inf var-inf)))
2128 ((and allow-inf (equal a '(neg (var inf var-inf))))
2130 (t (math-reject-arg a 'fixnump))))
2132 ;;; Verify that A is an integer >= 0 and return A in integer form. [I N; - x]
2133 (defun math-check-natnum (a) ; [Public]
2134 (cond ((natnump a) a)
2135 ((and (not (math-negp a))
2136 (Math-num-integerp a))
2138 (t (math-reject-arg a 'natnump))))
2140 ;;; Verify that A is in floating-point form, or force it to be a float. [F N]
2141 (defun math-check-float (a) ; [Public]
2142 (cond ((eq (car-safe a) 'float) a)
2143 ((Math-vectorp a) (math-map-vec 'math-check-float a))
2144 ((Math-objectp a) (math-float a))
2147 ;;; Verify that A is a constant.
2148 (defun math-check-const (a &optional exp-ok)
2149 (if (or (math-constp a)
2150 (and exp-ok math-expand-formulas))
2152 (math-reject-arg a 'constp)))
2155 ;;; Coerce integer A to be a small integer. [S I]
2156 (defun math-fixnum (a)
2159 (if (eq (car a) 'bigneg)
2160 (- (math-fixnum-big (cdr a)))
2161 (math-fixnum-big (cdr a)))
2165 (defun math-fixnum-big (a)
2167 (+ (car a) (* (math-fixnum-big (cdr a)) 1000))
2170 (defvar math-simplify-only nil)
2172 (defun math-normalize-fancy (a)
2173 (cond ((eq (car a) 'frac)
2174 (math-make-frac (math-normalize (nth 1 a))
2175 (math-normalize (nth 2 a))))
2177 (let ((real (math-normalize (nth 1 a)))
2178 (imag (math-normalize (nth 2 a))))
2179 (if (and (math-zerop imag)
2180 (not math-simplify-only)) ; oh, what a kludge!
2182 (list 'cplx real imag))))
2183 ((eq (car a) 'polar)
2184 (math-normalize-polar a))
2186 (math-normalize-hms a))
2188 (list 'date (math-normalize (nth 1 a))))
2190 (math-normalize-mod a))
2192 (let ((x (math-normalize (nth 1 a)))
2193 (s (math-normalize (nth 2 a))))
2194 (if (or (and (Math-objectp x) (not (Math-scalarp x)))
2195 (and (Math-objectp s) (not (Math-scalarp s))))
2196 (list 'calcFunc-sdev x s)
2197 (math-make-sdev x s))))
2199 (let ((mask (math-normalize (nth 1 a)))
2200 (lo (math-normalize (nth 2 a)))
2201 (hi (math-normalize (nth 3 a))))
2202 (if (if (eq (car-safe lo) 'date)
2203 (not (eq (car-safe hi) 'date))
2204 (or (and (Math-objectp lo) (not (Math-anglep lo)))
2205 (and (Math-objectp hi) (not (Math-anglep hi)))))
2206 (list 'calcFunc-intv mask lo hi)
2207 (math-make-intv mask lo hi))))
2209 (cons 'vec (mapcar 'math-normalize (cdr a))))
2210 ((eq (car a) 'quote)
2211 (math-normalize (nth 1 a)))
2212 ((eq (car a) 'special-const)
2213 (calc-with-default-simplification
2214 (math-normalize (nth 1 a))))
2216 (cons 'var (cdr a))) ; need to re-cons for selection routines
2217 ((eq (car a) 'calcFunc-if)
2218 (math-normalize-logical-op a))
2219 ((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition))
2220 (let ((calc-simplify-mode 'none))
2221 (cons (car a) (mapcar 'math-normalize (cdr a)))))
2222 ((eq (car a) 'calcFunc-evalto)
2223 (setq a (or (nth 1 a) 0))
2224 (or calc-refreshing-evaltos
2225 (setq a (let ((calc-simplify-mode 'none)) (math-normalize a))))
2226 (let ((b (if (and (eq (car-safe a) 'calcFunc-assign)
2230 (list 'calcFunc-evalto
2232 (if (eq calc-simplify-mode 'none)
2234 (calc-with-default-simplification
2235 (math-evaluate-expr b))))))
2236 ((or (integerp (car a)) (consp (car a)))
2238 (math-normalize (car a))
2239 (error "Can't use multi-valued function in an expression")))))
2241 ;; The variable math-normalize-a is local to math-normalize in calc.el,
2242 ;; but is used by math-normalize-nonstandard, which is called by
2244 (defvar math-normalize-a)
2246 (defun math-normalize-nonstandard ()
2247 (if (consp calc-simplify-mode)
2249 (setq calc-simplify-mode 'none
2250 math-simplify-only (car-safe (cdr-safe math-normalize-a)))
2252 (and (symbolp (car math-normalize-a))
2253 (or (eq calc-simplify-mode 'none)
2254 (and (eq calc-simplify-mode 'num)
2255 (let ((aptr (setq math-normalize-a
2257 (car math-normalize-a)
2258 (mapcar 'math-normalize
2259 (cdr math-normalize-a))))))
2260 (while (and aptr (math-constp (car aptr)))
2261 (setq aptr (cdr aptr)))
2263 (cons (car math-normalize-a)
2264 (mapcar 'math-normalize (cdr math-normalize-a))))))
2267 ;;; Normalize a bignum digit list by trimming high-end zeros. [L l]
2268 (defun math-norm-bignum (a)
2269 (let ((digs a) (last nil))
2271 (or (eq (car digs) 0) (setq last digs))
2272 (setq digs (cdr digs)))
2278 (defun math-bignum-test (a) ; [B N; B s; b b]
2284 ;;; Return 0 for zero, -1 for negative, 1 for positive. [S n] [Public]
2285 (defun calcFunc-sign (a &optional x)
2286 (let ((signs (math-possible-signs a)))
2287 (cond ((eq signs 4) (or x 1))
2289 ((eq signs 1) (if x (math-neg x) -1))
2290 ((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a))))
2291 (t (calc-record-why 'realp a)
2293 (list 'calcFunc-sign a x)
2294 (list 'calcFunc-sign a))))))
2296 ;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more.
2297 ;;; Arguments must be normalized! [S N N]
2298 (defun math-compare (a b)
2301 (memq (car a) '(var neg * /))
2305 ((and (integerp a) (Math-integerp b))
2307 (if (eq (car b) 'bigpos) -1 1)
2309 ((and (eq (car-safe a) 'bigpos) (Math-integerp b))
2310 (if (eq (car-safe b) 'bigpos)
2311 (math-compare-bignum (cdr a) (cdr b))
2313 ((and (eq (car-safe a) 'bigneg) (Math-integerp b))
2314 (if (eq (car-safe b) 'bigneg)
2315 (math-compare-bignum (cdr b) (cdr a))
2317 ((eq (car-safe a) 'frac)
2318 (if (eq (car-safe b) 'frac)
2319 (math-compare (math-mul (nth 1 a) (nth 2 b))
2320 (math-mul (nth 1 b) (nth 2 a)))
2321 (math-compare (nth 1 a) (math-mul b (nth 2 a)))))
2322 ((eq (car-safe b) 'frac)
2323 (math-compare (math-mul a (nth 2 b)) (nth 1 b)))
2324 ((and (eq (car-safe a) 'float) (eq (car-safe b) 'float))
2325 (if (math-lessp-float a b) -1 1))
2326 ((and (eq (car-safe a) 'date) (eq (car-safe b) 'date))
2327 (math-compare (nth 1 a) (nth 1 b)))
2328 ((and (or (Math-anglep a)
2329 (and (eq (car a) 'cplx) (eq (nth 2 a) 0)))
2331 (and (eq (car b) 'cplx) (eq (nth 2 b) 0))))
2332 (calcFunc-sign (math-add a (math-neg b))))
2333 ((and (eq (car-safe a) 'intv)
2334 (or (Math-anglep b) (eq (car-safe b) 'date)))
2335 (let ((res (math-compare (nth 2 a) b)))
2336 (cond ((eq res 1) 1)
2337 ((and (eq res 0) (memq (nth 1 a) '(0 1))) 1)
2338 ((eq (setq res (math-compare (nth 3 a) b)) -1) -1)
2339 ((and (eq res 0) (memq (nth 1 a) '(0 2))) -1)
2341 ((and (eq (car-safe b) 'intv)
2342 (or (Math-anglep a) (eq (car-safe a) 'date)))
2343 (let ((res (math-compare a (nth 2 b))))
2344 (cond ((eq res -1) -1)
2345 ((and (eq res 0) (memq (nth 1 b) '(0 1))) -1)
2346 ((eq (setq res (math-compare a (nth 3 b))) 1) 1)
2347 ((and (eq res 0) (memq (nth 1 b) '(0 2))) 1)
2349 ((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv))
2350 (let ((res (math-compare (nth 3 a) (nth 2 b))))
2351 (cond ((eq res -1) -1)
2352 ((and (eq res 0) (or (memq (nth 1 a) '(0 2))
2353 (memq (nth 1 b) '(0 1)))) -1)
2354 ((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1)
2355 ((and (eq res 0) (or (memq (nth 1 a) '(0 1))
2356 (memq (nth 1 b) '(0 2)))) 1)
2359 (if (or (equal a '(var uinf var-uinf))
2360 (equal a '(var nan var-nan)))
2362 (let ((dira (math-infinite-dir a)))
2363 (if (math-infinitep b)
2364 (if (or (equal b '(var uinf var-uinf))
2365 (equal b '(var nan var-nan)))
2367 (let ((dirb (math-infinite-dir b)))
2368 (cond ((and (eq dira 1) (eq dirb -1)) 1)
2369 ((and (eq dira -1) (eq dirb 1)) -1)
2371 (cond ((eq dira 1) 1)
2375 (if (or (equal b '(var uinf var-uinf))
2376 (equal b '(var nan var-nan)))
2378 (let ((dirb (math-infinite-dir b)))
2379 (cond ((eq dirb 1) -1)
2382 ((and (eq (car-safe a) 'calcFunc-exp)
2383 (eq (car-safe b) '^)
2384 (equal (nth 1 b) '(var e var-e)))
2385 (math-compare (nth 1 a) (nth 2 b)))
2386 ((and (eq (car-safe b) 'calcFunc-exp)
2387 (eq (car-safe a) '^)
2388 (equal (nth 1 a) '(var e var-e)))
2389 (math-compare (nth 2 a) (nth 1 b)))
2390 ((or (and (eq (car-safe a) 'calcFunc-sqrt)
2391 (eq (car-safe b) '^)
2392 (or (equal (nth 2 b) '(frac 1 2))
2393 (equal (nth 2 b) '(float 5 -1))))
2394 (and (eq (car-safe b) 'calcFunc-sqrt)
2395 (eq (car-safe a) '^)
2396 (or (equal (nth 2 a) '(frac 1 2))
2397 (equal (nth 2 a) '(float 5 -1)))))
2398 (math-compare (nth 1 a) (nth 1 b)))
2399 ((eq (car-safe a) 'var)
2402 (if (and (consp a) (consp b)
2403 (eq (car a) (car b))
2404 (math-compare-lists (cdr a) (cdr b)))
2408 ;;; Compare two bignum digit lists, return -1 for A<B, 0 for A=B, 1 for A>B.
2409 (defun math-compare-bignum (a b) ; [S l l]
2412 (if (< (car a) (car b))
2414 (if (> (car a) (car b))
2420 (while (eq (car a) 0) (setq a (cdr a)))
2422 (while (eq (car b) 0) (setq b (cdr b)))
2425 (defun math-compare-lists (a b)
2426 (cond ((null a) (null b))
2428 (t (and (Math-equal (car a) (car b))
2429 (math-compare-lists (cdr a) (cdr b))))))
2431 (defun math-lessp-float (a b) ; [P F F]
2432 (let ((ediff (- (nth 2 a) (nth 2 b))))
2434 (if (>= ediff (+ calc-internal-prec calc-internal-prec))
2435 (if (eq (nth 1 a) 0)
2436 (Math-integer-posp (nth 1 b))
2437 (Math-integer-negp (nth 1 a)))
2438 (Math-lessp (math-scale-int (nth 1 a) ediff)
2440 (if (>= (setq ediff (- ediff))
2441 (+ calc-internal-prec calc-internal-prec))
2442 (if (eq (nth 1 b) 0)
2443 (Math-integer-negp (nth 1 a))
2444 (Math-integer-posp (nth 1 b)))
2445 (Math-lessp (nth 1 a)
2446 (math-scale-int (nth 1 b) ediff))))))
2448 ;;; True if A is numerically equal to B. [P N N] [Public]
2449 (defun math-equal (a b)
2450 (= (math-compare a b) 0))
2452 ;;; True if A is numerically less than B. [P R R] [Public]
2453 (defun math-lessp (a b)
2454 (= (math-compare a b) -1))
2456 ;;; True if A is numerically equal to the integer B. [P N S] [Public]
2457 ;;; B must not be a multiple of 10.
2458 (defun math-equal-int (a b)
2460 (and (eq (car-safe a) 'float)
2467 ;;; Return the dimensions of a matrix as a list. [l x] [Public]
2468 (defun math-mat-dimens (m)
2469 (if (math-vectorp m)
2470 (if (math-matrixp m)
2471 (cons (1- (length m))
2472 (math-mat-dimens (nth 1 m)))
2473 (list (1- (length m))))
2478 (defun calc-binary-op-fancy (name func arg ident unary)
2479 (let ((n (prefix-numeric-value arg)))
2481 (calc-enter-result n
2483 (list 'calcFunc-reduce
2484 (math-calcFunc-to-var func)
2485 (cons 'vec (calc-top-list-n n)))))
2488 (calc-enter-result 1 name (list unary (calc-top-n 1)))))
2491 (calc-enter-result 0 name ident)
2492 (error "Argument must be nonzero")))
2494 (let ((rhs (calc-top-n 1)))
2495 (calc-enter-result (- 1 n)
2500 (calc-top-list-n (- n) 2))))))))
2502 (defun calc-unary-op-fancy (name func arg)
2503 (let ((n (prefix-numeric-value arg)))
2504 (if (= n 0) (setq n (calc-stack-size)))
2506 (calc-enter-result n
2511 (calc-top-list-n n))))
2513 (calc-enter-result 1
2515 (list func (calc-top-n (- n)))
2518 (defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun)))
2519 (defvar var-Decls (list 'vec))
2522 (defun math-inexact-result ()
2523 (and calc-symbolic-mode
2524 (signal 'inexact-result nil)))
2526 (defun math-overflow (&optional exp)
2527 (if (and exp (math-negp exp))
2529 (signal 'math-overflow nil)))
2531 (defun math-underflow ()
2532 (signal 'math-underflow nil))
2534 ;;; Compute the greatest common divisor of A and B. [I I I] [Public]
2535 (defun math-gcd (a b)
2536 (cond ((not (or (consp a) (consp b)))
2537 (if (< a 0) (setq a (- a)))
2538 (if (< b 0) (setq b (- b)))
2550 (if (Math-integer-negp a) (setq a (math-neg a)))
2551 (if (Math-integer-negp b) (setq b (math-neg b)))
2553 (if (Math-natnum-lessp a b)
2555 (while (and (consp a) (not (eq b 0)))
2568 ;;; Evaluate variables in an expression.
2569 (defun math-evaluate-expr (x) ; [Public]
2570 (if calc-embedded-info
2571 (calc-embedded-evaluate-expr x)
2572 (calc-normalize (math-evaluate-expr-rec x))))
2574 (defalias 'calcFunc-evalv 'math-evaluate-expr)
2576 (defun calcFunc-evalvn (x &optional prec)
2579 (or (math-num-integerp prec)
2580 (if (and (math-vectorp prec)
2582 (math-num-integerp (nth 1 prec)))
2583 (setq prec (math-add (nth 1 prec) calc-internal-prec))
2584 (math-reject-arg prec 'integerp)))
2585 (setq prec (math-trunc prec))
2586 (if (< prec 3) (setq prec 3))
2587 (if (> prec calc-internal-prec)
2589 (let ((calc-internal-prec prec))
2590 (calcFunc-evalvn x)))
2591 (let ((calc-internal-prec prec))
2592 (calcFunc-evalvn x))))
2593 (let ((calc-symbolic-mode nil))
2594 (math-evaluate-expr x))))
2596 (defun math-evaluate-expr-rec (x)
2598 (if (memq (car x) '(calcFunc-quote calcFunc-condition
2599 calcFunc-evalto calcFunc-assign))
2600 (if (and (eq (car x) 'calcFunc-assign)
2602 (list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x)))
2604 (if (eq (car x) 'var)
2605 (if (and (calc-var-value (nth 2 x))
2606 (not (eq (car-safe (symbol-value (nth 2 x)))
2608 (let ((val (symbol-value (nth 2 x))))
2609 (if (eq (car-safe val) 'special-const)
2610 (if calc-symbolic-mode
2617 (cons (car x) (mapcar 'math-evaluate-expr-rec (cdr x))))))
2620 (defun math-any-floats (expr)
2621 (if (Math-primp expr)
2623 (while (and (setq expr (cdr expr)) (not (math-any-floats (car expr)))))
2626 (defvar var-FactorRules 'calc-FactorRules)
2628 (defvar math-mt-many nil)
2629 (defvar math-mt-func nil)
2631 (defun math-map-tree (math-mt-func mmt-expr &optional math-mt-many)
2632 (or math-mt-many (setq math-mt-many 1000000))
2633 (math-map-tree-rec mmt-expr))
2635 (defun math-map-tree-rec (mmt-expr)
2636 (or (= math-mt-many 0)
2637 (let ((mmt-done nil)
2639 (while (not mmt-done)
2640 (while (and (/= math-mt-many 0)
2641 (setq mmt-nextval (funcall math-mt-func mmt-expr))
2642 (not (equal mmt-expr mmt-nextval)))
2643 (setq mmt-expr mmt-nextval
2644 math-mt-many (if (> math-mt-many 0)
2646 (1+ math-mt-many))))
2647 (if (or (Math-primp mmt-expr)
2648 (<= math-mt-many 0))
2650 (setq mmt-nextval (cons (car mmt-expr)
2651 (mapcar 'math-map-tree-rec
2653 (if (equal mmt-nextval mmt-expr)
2655 (setq mmt-expr mmt-nextval))))))
2658 (defun math-is-true (expr)
2659 (if (Math-numberp expr)
2660 (not (Math-zerop expr))
2661 (math-known-nonzerop expr)))
2663 (defun math-const-var (expr)
2665 (eq (car expr) 'var)
2666 (or (and (symbolp (nth 2 expr))
2667 (boundp (nth 2 expr))
2668 (eq (car-safe (symbol-value (nth 2 expr))) 'special-const))
2669 (memq (nth 2 expr) '(var-inf var-uinf var-nan)))))
2671 ;; The variable math-integral-cache is originally declared in calcalg2.el,
2672 ;; but is set by math-defintegral and math-definitegral2.
2673 (defvar math-integral-cache)
2675 (defmacro math-defintegral (funcs &rest code)
2676 (setq math-integral-cache nil)
2680 (list 'put (list 'quote func) ''math-integral
2682 (list 'get (list 'quote func) ''math-integral)
2685 (append '(lambda (u))
2687 (if (symbolp funcs) (list funcs) funcs))))
2688 (put 'math-defintegral 'lisp-indent-hook 1)
2690 (defmacro math-defintegral-2 (funcs &rest code)
2691 (setq math-integral-cache nil)
2695 (list 'put (list 'quote func) ''math-integral-2
2697 (list 'get (list 'quote func)
2701 (append '(lambda (u v))
2703 (if (symbolp funcs) (list funcs) funcs))))
2704 (put 'math-defintegral-2 'lisp-indent-hook 1)
2706 (defvar var-IntegAfterRules 'calc-IntegAfterRules)
2708 (defvar var-FitRules 'calc-FitRules)
2710 (defvar math-poly-base-variable nil)
2711 (defvar math-poly-neg-powers nil)
2712 (defvar math-poly-mult-powers 1)
2713 (defvar math-poly-frac-powers nil)
2714 (defvar math-poly-exp-base nil)
2716 (defun math-build-var-name (name)
2718 (setq name (intern name)))
2719 (if (string-match "\\`var-." (symbol-name name))
2720 (list 'var (intern (substring (symbol-name name) 4)) name)
2721 (list 'var name (intern (concat "var-" (symbol-name name))))))
2723 (defvar math-simplifying-units nil)
2724 (defvar math-combining-units t)
2726 ;;; Nontrivial number parsing.
2728 (defun math-read-number-fancy (s)
2731 ;; Integer+fractions
2732 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2733 (let ((int (math-match-substring s 1))
2734 (num (math-match-substring s 2))
2735 (den (math-match-substring s 3)))
2736 (let ((int (if (> (length int) 0) (math-read-number int) 0))
2737 (num (if (> (length num) 0) (math-read-number num) 1))
2738 (den (if (> (length num) 0) (math-read-number den) 1)))
2740 (math-integerp int) (math-integerp num) (math-integerp den)
2741 (not (math-zerop den))
2742 (list 'frac (math-add num (math-mul int den)) den)))))
2745 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2746 (let ((num (math-match-substring s 1))
2747 (den (math-match-substring s 2)))
2748 (let ((num (if (> (length num) 0) (math-read-number num) 1))
2749 (den (if (> (length num) 0) (math-read-number den) 1)))
2750 (and num den (math-integerp num) (math-integerp den)
2751 (not (math-zerop den))
2752 (list 'frac num den)))))
2755 ((string-match "^\\(.*\\) *mod *\\(.*\\)$" s)
2756 (let* ((n (math-match-substring s 1))
2757 (m (math-match-substring s 2))
2758 (n (math-read-number n))
2759 (m (math-read-number m)))
2760 (and n m (math-anglep n) (math-anglep m)
2764 ((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s)
2765 (let* ((x (math-match-substring s 1))
2766 (sigma (math-match-substring s 2))
2767 (x (math-read-number x))
2768 (sigma (math-read-number sigma)))
2769 (and x sigma (math-scalarp x) (math-anglep sigma)
2770 (list 'sdev x sigma))))
2772 ;; Hours (or degrees)
2773 ((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s)
2774 (string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s))
2775 (let* ((hours (math-match-substring s 1))
2776 (minsec (math-match-substring s 2))
2777 (hours (math-read-number hours))
2778 (minsec (if (> (length minsec) 0) (math-read-number minsec) 0)))
2780 (math-num-integerp hours)
2781 (not (math-negp hours)) (not (math-negp minsec))
2782 (cond ((math-num-integerp minsec)
2783 (and (Math-lessp minsec 60)
2784 (list 'hms hours minsec 0)))
2785 ((and (eq (car-safe minsec) 'hms)
2786 (math-zerop (nth 1 minsec)))
2787 (math-add (list 'hms hours 0 0) minsec))
2791 ((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s)
2792 (let* ((minutes (math-match-substring s 1))
2793 (seconds (math-match-substring s 2))
2794 (minutes (math-read-number minutes))
2795 (seconds (if (> (length seconds) 0) (math-read-number seconds) 0)))
2796 (and minutes seconds
2797 (math-num-integerp minutes)
2798 (not (math-negp minutes)) (not (math-negp seconds))
2799 (cond ((math-realp seconds)
2800 (and (Math-lessp minutes 60)
2801 (list 'hms 0 minutes seconds)))
2802 ((and (eq (car-safe seconds) 'hms)
2803 (math-zerop (nth 1 seconds))
2804 (math-zerop (nth 2 seconds)))
2805 (math-add (list 'hms 0 minutes 0) seconds))
2809 ((string-match "^\\([^\"#^]+\\)[sS\"]$" s)
2810 (let ((seconds (math-read-number (math-match-substring s 1))))
2811 (and seconds (math-realp seconds)
2812 (not (math-negp seconds))
2813 (Math-lessp seconds 60)
2814 (list 'hms 0 0 seconds))))
2816 ;; Integer+fraction with explicit radix
2817 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s)
2818 (let ((radix (string-to-int (math-match-substring s 1)))
2819 (int (math-match-substring s 3))
2820 (num (math-match-substring s 4))
2821 (den (math-match-substring s 5)))
2822 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2823 (num (if (> (length num) 0) (math-read-radix num radix) 1))
2824 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2825 (and int num den (not (math-zerop den))
2827 (math-add num (math-mul int den))
2830 ;; Fraction with explicit radix
2831 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s)
2832 (let ((radix (string-to-int (math-match-substring s 1)))
2833 (num (math-match-substring s 3))
2834 (den (math-match-substring s 4)))
2835 (let ((num (if (> (length num) 0) (math-read-radix num radix) 1))
2836 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2837 (and num den (not (math-zerop den)) (list 'frac num den)))))
2839 ;; Float with explicit radix and exponent
2840 ((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s)
2841 (string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s))
2842 (let ((radix (string-to-int (math-match-substring s 2)))
2843 (mant (math-match-substring s 1))
2844 (exp (math-match-substring s 4)))
2845 (let ((mant (math-read-number mant))
2846 (exp (math-read-number exp)))
2848 (math-mul mant (math-pow (math-float radix) exp))))))
2850 ;; Float with explicit radix, no exponent
2851 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s)
2852 (let ((radix (string-to-int (math-match-substring s 1)))
2853 (int (math-match-substring s 3))
2854 (fracs (math-match-substring s 4)))
2855 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2856 (frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0))
2857 (calc-prefer-frac nil))
2859 (math-add int (math-div frac (math-pow radix (length fracs))))))))
2861 ;; Integer with explicit radix
2862 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s)
2863 (math-read-radix (math-match-substring s 3)
2864 (string-to-int (math-match-substring s 1))))
2866 ;; C language hexadecimal notation
2867 ((and (eq calc-language 'c)
2868 (string-match "^0[xX]\\([0-9a-fA-F]+\\)$" s))
2869 (let ((digs (math-match-substring s 1)))
2870 (math-read-radix digs 16)))
2872 ;; Pascal language hexadecimal notation
2873 ((and (eq calc-language 'pascal)
2874 (string-match "^\\$\\([0-9a-fA-F]+\\)$" s))
2875 (let ((digs (math-match-substring s 1)))
2876 (math-read-radix digs 16)))
2878 ;; Fraction using "/" instead of ":"
2879 ((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s)
2880 (math-read-number (concat (math-match-substring s 1) ":"
2881 (math-match-substring s 2))))
2886 (defun math-read-radix (s r) ; [I X D]
2891 (while (and (< i (length s))
2892 (setq dig (math-read-radix-digit (elt s i)))
2894 (setq res (math-add (math-mul res r) dig)
2896 (and (= i (length s))
2901 ;;; Expression parsing.
2903 (defvar math-expr-data)
2905 (defun math-read-expr (math-exp-str)
2906 (let ((math-exp-pos 0)
2907 (math-exp-old-pos 0)
2908 (math-exp-keep-spaces nil)
2909 math-exp-token math-expr-data)
2910 (setq math-exp-str (math-read-preprocess-string math-exp-str))
2911 (while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
2912 (setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots"
2913 (substring math-exp-str (+ math-exp-token 2)))))
2914 (math-build-parse-table)
2916 (let ((val (catch 'syntax (math-read-expr-level 0))))
2918 (list 'error math-exp-old-pos val)
2919 (if (equal math-exp-token 'end)
2921 (list 'error math-exp-old-pos "Syntax error"))))))
2923 (defun math-read-plain-expr (exp-str &optional error-check)
2924 (let* ((calc-language nil)
2925 (math-expr-opers math-standard-opers)
2926 (val (math-read-expr exp-str)))
2928 (eq (car-safe val) 'error)
2929 (error "%s: %s" (nth 2 val) exp-str))
2933 (defun math-read-string ()
2934 (let ((str (read-from-string (concat math-expr-data "\""))))
2935 (or (and (= (cdr str) (1+ (length math-expr-data)))
2936 (stringp (car str)))
2937 (throw 'syntax "Error in string constant"))
2939 (append '(vec) (car str) nil)))
2943 ;;; They said it couldn't be done...
2945 (defun math-read-big-expr (str)
2946 (and (> (length calc-left-label) 0)
2947 (string-match (concat "^" (regexp-quote calc-left-label)) str)
2948 (setq str (concat (substring str 0 (match-beginning 0))
2949 (substring str (match-end 0)))))
2950 (and (> (length calc-right-label) 0)
2951 (string-match (concat (regexp-quote calc-right-label) " *$") str)
2952 (setq str (concat (substring str 0 (match-beginning 0))
2953 (substring str (match-end 0)))))
2954 (if (string-match "\\\\[^ \n|]" str)
2955 (if (eq calc-language 'latex)
2956 (math-read-expr str)
2957 (let ((calc-language 'latex)
2958 (calc-language-option nil)
2959 (math-expr-opers (get 'latex 'math-oper-table))
2960 (math-expr-function-mapping (get 'latex 'math-function-table))
2961 (math-expr-variable-mapping (get 'latex 'math-variable-table)))
2962 (math-read-expr str)))
2963 (let ((math-read-big-lines nil)
2966 (math-read-big-err-msg nil)
2967 math-read-big-baseline math-read-big-h2
2969 (while (setq new-pos (string-match "\n" str pos))
2970 (setq math-read-big-lines
2971 (cons (substring str pos new-pos) math-read-big-lines)
2973 (setq math-read-big-lines
2974 (nreverse (cons (substring str pos) math-read-big-lines))
2975 p math-read-big-lines)
2977 (setq width (max width (length (car p)))
2979 (if (math-read-big-bigp math-read-big-lines)
2981 (math-read-big-rec 0 0 width (length math-read-big-lines)))
2982 math-read-big-err-msg
2983 '(error 0 "Syntax error"))
2984 (math-read-expr str)))))
2986 (defun math-read-big-bigp (math-read-big-lines)
2987 (and (cdr math-read-big-lines)
2990 (height (if (> (length (car math-read-big-lines)) 0) 1 0)))
2991 (while (and (cdr math-read-big-lines)
2994 (l1 (car math-read-big-lines))
2995 (l2 (nth 1 math-read-big-lines))
2996 (len (min (length l1) (length l2))))
2997 (if (> (length l2) 0)
2998 (setq height (1+ height)))
2999 (while (and (< i len)
3000 (or (memq (aref l1 i) '(?\ ?\- ?\_))
3001 (memq (aref l2 i) '(?\ ?\-))
3002 (and (memq (aref l1 i) '(?\| ?\,))
3003 (= (aref l2 i) (aref l1 i)))
3004 (and (eq (aref l1 i) ?\[)
3005 (eq (aref l2 i) ?\[)
3006 (let ((math-rb-h2 (length l1)))
3007 (setq j (math-read-big-balance
3012 (and (eq (aref l1 i) ?\[)
3013 (eq (aref l2 i) ?\[)
3016 (setq math-read-big-lines (cdr math-read-big-lines)
3018 (or (and (> height 1)
3019 (not (cdr math-read-big-lines)))
3022 ;;; Nontrivial "flat" formatting.
3024 (defvar math-format-hash-args nil)
3025 (defvar calc-can-abbrev-vectors nil)
3027 (defun math-format-flat-expr-fancy (a prec)
3029 ((eq (car a) 'incomplete)
3030 (format "<incomplete %s>" (nth 1 a)))
3032 (if (or calc-full-trail-vectors (not calc-can-abbrev-vectors)
3034 (concat "[" (math-format-flat-vector (cdr a) ", "
3035 (if (cdr (cdr a)) 0 1000)) "]")
3037 (math-format-flat-expr (nth 1 a) 0) ", "
3038 (math-format-flat-expr (nth 2 a) 0) ", "
3039 (math-format-flat-expr (nth 3 a) 0) ", ..., "
3040 (math-format-flat-expr (nth (1- (length a)) a) 0) "]")))
3042 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3043 (math-format-flat-expr (nth 2 a) 1000)
3045 (math-format-flat-expr (nth 3 a) 1000)
3046 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3048 (concat "<" (math-format-date a) ">"))
3049 ((and (eq (car a) 'calcFunc-lambda) (> (length a) 2))
3051 (ap calc-arg-values)
3052 (math-format-hash-args (if (= (length a) 3) 1 t)))
3053 (while (and (cdr p) (equal (car p) (car ap)))
3054 (setq p (cdr p) ap (cdr ap)))
3057 (concat (math-format-flat-vector
3058 (nreverse (cdr (reverse (cdr a)))) ", " 0)
3061 (math-format-flat-expr (nth (1- (length a)) a) 0)
3064 (or (and math-format-hash-args
3065 (let ((p calc-arg-values) (v 1))
3066 (while (and p (not (equal (car p) a)))
3067 (setq p (and (eq math-format-hash-args t) (cdr p))
3070 (if (eq math-format-hash-args 1)
3072 (format "#%d" v)))))
3073 (symbol-name (nth 1 a))))
3074 ((and (memq (car a) '(calcFunc-string calcFunc-bstring))
3076 (math-vectorp (nth 1 a))
3077 (math-vector-is-string (nth 1 a)))
3078 (concat (substring (symbol-name (car a)) 9)
3079 "(" (math-vector-to-string (nth 1 a) t) ")"))
3081 (let ((op (math-assq2 (car a) math-standard-opers)))
3082 (cond ((and op (= (length a) 3))
3083 (if (> prec (min (nth 2 op) (nth 3 op)))
3084 (concat "(" (math-format-flat-expr a 0) ")")
3085 (let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op)))
3086 (rhs (math-format-flat-expr (nth 2 a) (nth 3 op))))
3088 (if (or (equal op "^") (equal op "_"))
3089 (if (= (aref lhs 0) ?-)
3090 (setq lhs (concat "(" lhs ")")))
3091 (setq op (concat " " op " ")))
3092 (concat lhs op rhs))))
3094 (concat "-" (math-format-flat-expr (nth 1 a) 1000)))
3096 (concat (math-remove-dashes
3097 (if (string-match "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
3098 (symbol-name (car a)))
3099 (math-match-substring (symbol-name (car a)) 1)
3100 (symbol-name (car a))))
3102 (math-format-flat-vector (cdr a) ", " 0)
3105 (defun math-format-flat-vector (vec sep prec)
3107 (let ((buf (math-format-flat-expr (car vec) prec)))
3108 (while (setq vec (cdr vec))
3109 (setq buf (concat buf sep (math-format-flat-expr (car vec) prec))))
3113 (defun math-format-nice-expr (x w)
3114 (cond ((and (eq (car-safe x) 'vec)
3116 (let ((ops '(vec calcFunc-assign calcFunc-condition
3117 calcFunc-schedule calcFunc-iterations
3119 (or (memq (car-safe (nth 1 x)) ops)
3120 (memq (car-safe (nth 2 x)) ops)
3121 (memq (car-safe (nth 3 x)) ops)
3122 calc-break-vectors)))
3123 (concat "[ " (math-format-flat-vector (cdr x) ",\n " 0) " ]"))
3125 (let ((str (math-format-flat-expr x 0))
3127 (or (string-match "\"" str)
3128 (while (<= (setq p (+ pos w)) (length str))
3129 (while (and (> (setq p (1- p)) pos)
3130 (not (= (aref str p) ? ))))
3132 (setq str (concat (substring str 0 p)
3136 (setq pos (+ pos w)))))
3139 (defun math-assq2 (v a)
3140 (while (and a (not (eq v (nth 1 (car a)))))
3144 (defun math-format-number-fancy (a prec)
3146 ((eq (car a) 'float) ; non-decimal radix
3147 (if (Math-integer-negp (nth 1 a))
3148 (concat "-" (math-format-number (math-neg a)))
3149 (let ((str (if (and calc-radix-formatter
3150 (not (memq calc-language '(c pascal))))
3151 (funcall calc-radix-formatter
3153 (math-format-radix-float a prec))
3154 (format "%d#%s" calc-number-radix
3155 (math-format-radix-float a prec)))))
3156 (if (and prec (> prec 191) (string-match "\\*" str))
3157 (concat "(" str ")")
3160 (setq a (math-adjust-fraction a))
3161 (if (> (length (car calc-frac-format)) 1)
3162 (if (Math-integer-negp (nth 1 a))
3163 (concat "-" (math-format-number (math-neg a)))
3164 (let ((q (math-idivmod (nth 1 a) (nth 2 a))))
3165 (concat (let ((calc-frac-format nil))
3166 (math-format-number (car q)))
3167 (substring (car calc-frac-format) 0 1)
3168 (let ((math-radix-explicit-format nil)
3169 (calc-frac-format nil))
3170 (math-format-number (cdr q)))
3171 (substring (car calc-frac-format) 1 2)
3172 (let ((math-radix-explicit-format nil)
3173 (calc-frac-format nil))
3174 (math-format-number (nth 2 a))))))
3175 (concat (let ((calc-frac-format nil))
3176 (math-format-number (nth 1 a)))
3177 (car calc-frac-format)
3178 (let ((math-radix-explicit-format nil)
3179 (calc-frac-format nil))
3180 (math-format-number (nth 2 a))))))
3182 (if (math-zerop (nth 2 a))
3183 (math-format-number (nth 1 a))
3184 (if (null calc-complex-format)
3185 (concat "(" (math-format-number (nth 1 a))
3186 ", " (math-format-number (nth 2 a)) ")")
3187 (if (math-zerop (nth 1 a))
3188 (if (math-equal-int (nth 2 a) 1)
3189 (symbol-name calc-complex-format)
3190 (if (math-equal-int (nth 2 a) -1)
3191 (concat "-" (symbol-name calc-complex-format))
3193 (math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec)
3194 (concat (math-format-number (nth 2 a)) " "
3195 (symbol-name calc-complex-format)))))
3197 (math-compose-expr (list (if (math-negp (nth 2 a)) '- '+)
3199 (list 'cplx 0 (math-abs (nth 2 a))))
3201 (concat (math-format-number (nth 1 a))
3202 (if (math-negp (nth 2 a)) " - " " + ")
3204 (list 'cplx 0 (math-abs (nth 2 a))))))))))
3205 ((eq (car a) 'polar)
3206 (concat "(" (math-format-number (nth 1 a))
3207 "; " (math-format-number (nth 2 a)) ")"))
3210 (concat "-" (math-format-number (math-neg a)))
3211 (let ((calc-number-radix 10)
3212 (calc-leading-zeros nil)
3213 (calc-group-digits nil))
3214 (format calc-hms-format
3215 (let ((calc-frac-format '(":" nil)))
3216 (math-format-number (nth 1 a)))
3217 (let ((calc-frac-format '(":" nil)))
3218 (math-format-number (nth 2 a)))
3219 (math-format-number (nth 3 a))))))
3221 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3222 (math-format-number (nth 2 a))
3224 (math-format-number (nth 3 a))
3225 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3227 (concat (math-format-number (nth 1 a))
3229 (math-format-number (nth 2 a))))
3231 (math-format-flat-expr a 0))
3232 (t (format "%s" a))))
3234 (defun math-adjust-fraction (a)
3235 (if (nth 1 calc-frac-format)
3237 (if (Math-integerp a) (setq a (list 'frac a 1)))
3238 (let ((g (math-quotient (nth 1 calc-frac-format)
3240 (nth 1 calc-frac-format)))))
3241 (list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g))))
3244 (defun math-format-bignum-fancy (a) ; [X L]
3245 (let ((str (cond ((= calc-number-radix 10)
3246 (math-format-bignum-decimal a))
3247 ((= calc-number-radix 2)
3248 (math-format-bignum-binary a))
3249 ((= calc-number-radix 8)
3250 (math-format-bignum-octal a))
3251 ((= calc-number-radix 16)
3252 (math-format-bignum-hex a))
3253 (t (math-format-bignum-radix a)))))
3254 (if calc-leading-zeros
3255 (let* ((calc-internal-prec 6)
3256 (digs (math-compute-max-digits (math-abs calc-word-size)
3260 (setq str (concat (make-string (- digs len) ?0) str)))))
3261 (if calc-group-digits
3262 (let ((i (length str))
3263 (g (if (integerp calc-group-digits)
3264 (math-abs calc-group-digits)
3265 (if (memq calc-number-radix '(2 16)) 4 3))))
3268 str (concat (substring str 0 i)
3270 (substring str i))))
3272 (if (and (/= calc-number-radix 10)
3273 math-radix-explicit-format)
3274 (if calc-radix-formatter
3275 (funcall calc-radix-formatter calc-number-radix str)
3276 (format "%d#%s" calc-number-radix str))
3280 (defun math-group-float (str) ; [X X]
3281 (let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str)))
3282 (g (if (integerp calc-group-digits) (math-abs calc-group-digits) 3))
3284 (if (and (integerp calc-group-digits) (< calc-group-digits 0))
3285 (while (< (setq i (+ (1+ i) g)) (length str))
3286 (setq str (concat (substring str 0 i)
3289 i (+ i (1- (length calc-group-char))))))
3293 str (concat (substring str 0 i)
3295 (substring str i))))
3298 ;;; Users can redefine this in their .emacs files.
3299 (defvar calc-keypad-user-menu nil
3300 "If non-nil, this describes an additional menu for calc-keypad.
3301 It should contain a list of three rows.
3302 Each row should be a list of six keys.
3303 Each key should be a list of a label string, plus a Calc command name spec.
3304 A command spec is a command name symbol, a keyboard macro string, a
3305 list containing a numeric entry string, or nil.
3306 A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.")
3308 (run-hooks 'calc-ext-load-hook)
3312 ;;; arch-tag: 1814ba7f-a390-49dc-9e25-a5adc205e97e
3313 ;;; calc-ext.el ends here