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 "dU" 'calc-unformatted-language)
221 (define-key calc-mode-map "dW" 'calc-maple-language)
222 (define-key calc-mode-map "d[" 'calc-truncate-up)
223 (define-key calc-mode-map "d]" 'calc-truncate-down)
224 (define-key calc-mode-map "d." 'calc-point-char)
225 (define-key calc-mode-map "d," 'calc-group-char)
226 (define-key calc-mode-map "d\"" 'calc-display-strings)
227 (define-key calc-mode-map "d<" 'calc-left-justify)
228 (define-key calc-mode-map "d=" 'calc-center-justify)
229 (define-key calc-mode-map "d>" 'calc-right-justify)
230 (define-key calc-mode-map "d{" 'calc-left-label)
231 (define-key calc-mode-map "d}" 'calc-right-label)
232 (define-key calc-mode-map "d'" 'calc-display-raw)
233 (define-key calc-mode-map "d " 'calc-refresh)
234 (define-key calc-mode-map "d\r" 'calc-refresh-top)
235 (define-key calc-mode-map "d@" 'calc-toggle-banner)
237 (define-key calc-mode-map "f" nil)
238 (define-key calc-mode-map "f?" 'calc-f-prefix-help)
239 (define-key calc-mode-map "fb" 'calc-beta)
240 (define-key calc-mode-map "fe" 'calc-erf)
241 (define-key calc-mode-map "fg" 'calc-gamma)
242 (define-key calc-mode-map "fh" 'calc-hypot)
243 (define-key calc-mode-map "fi" 'calc-im)
244 (define-key calc-mode-map "fj" 'calc-bessel-J)
245 (define-key calc-mode-map "fn" 'calc-min)
246 (define-key calc-mode-map "fr" 'calc-re)
247 (define-key calc-mode-map "fs" 'calc-sign)
248 (define-key calc-mode-map "fx" 'calc-max)
249 (define-key calc-mode-map "fy" 'calc-bessel-Y)
250 (define-key calc-mode-map "fA" 'calc-abssqr)
251 (define-key calc-mode-map "fB" 'calc-inc-beta)
252 (define-key calc-mode-map "fE" 'calc-expm1)
253 (define-key calc-mode-map "fF" 'calc-floor)
254 (define-key calc-mode-map "fG" 'calc-inc-gamma)
255 (define-key calc-mode-map "fI" 'calc-ilog)
256 (define-key calc-mode-map "fL" 'calc-lnp1)
257 (define-key calc-mode-map "fM" 'calc-mant-part)
258 (define-key calc-mode-map "fQ" 'calc-isqrt)
259 (define-key calc-mode-map "fS" 'calc-scale-float)
260 (define-key calc-mode-map "fT" 'calc-arctan2)
261 (define-key calc-mode-map "fX" 'calc-xpon-part)
262 (define-key calc-mode-map "f[" 'calc-decrement)
263 (define-key calc-mode-map "f]" 'calc-increment)
265 (define-key calc-mode-map "g" nil)
266 (define-key calc-mode-map "g?" 'calc-g-prefix-help)
267 (define-key calc-mode-map "ga" 'calc-graph-add)
268 (define-key calc-mode-map "gb" 'calc-graph-border)
269 (define-key calc-mode-map "gc" 'calc-graph-clear)
270 (define-key calc-mode-map "gd" 'calc-graph-delete)
271 (define-key calc-mode-map "gf" 'calc-graph-fast)
272 (define-key calc-mode-map "gg" 'calc-graph-grid)
273 (define-key calc-mode-map "gh" 'calc-graph-header)
274 (define-key calc-mode-map "gk" 'calc-graph-key)
275 (define-key calc-mode-map "gj" 'calc-graph-juggle)
276 (define-key calc-mode-map "gl" 'calc-graph-log-x)
277 (define-key calc-mode-map "gn" 'calc-graph-name)
278 (define-key calc-mode-map "gp" 'calc-graph-plot)
279 (define-key calc-mode-map "gq" 'calc-graph-quit)
280 (define-key calc-mode-map "gr" 'calc-graph-range-x)
281 (define-key calc-mode-map "gs" 'calc-graph-line-style)
282 (define-key calc-mode-map "gt" 'calc-graph-title-x)
283 (define-key calc-mode-map "gv" 'calc-graph-view-commands)
284 (define-key calc-mode-map "gx" 'calc-graph-display)
285 (define-key calc-mode-map "gz" 'calc-graph-zero-x)
286 (define-key calc-mode-map "gA" 'calc-graph-add-3d)
287 (define-key calc-mode-map "gC" 'calc-graph-command)
288 (define-key calc-mode-map "gD" 'calc-graph-device)
289 (define-key calc-mode-map "gF" 'calc-graph-fast-3d)
290 (define-key calc-mode-map "gG" 'calc-argument)
291 (define-key calc-mode-map "gH" 'calc-graph-hide)
292 (define-key calc-mode-map "gK" 'calc-graph-kill)
293 (define-key calc-mode-map "gL" 'calc-graph-log-y)
294 (define-key calc-mode-map "gN" 'calc-graph-num-points)
295 (define-key calc-mode-map "gO" 'calc-graph-output)
296 (define-key calc-mode-map "gP" 'calc-graph-print)
297 (define-key calc-mode-map "gR" 'calc-graph-range-y)
298 (define-key calc-mode-map "gS" 'calc-graph-point-style)
299 (define-key calc-mode-map "gT" 'calc-graph-title-y)
300 (define-key calc-mode-map "gV" 'calc-graph-view-trail)
301 (define-key calc-mode-map "gX" 'calc-graph-geometry)
302 (define-key calc-mode-map "gZ" 'calc-graph-zero-y)
303 (define-key calc-mode-map "g\C-l" 'calc-graph-log-z)
304 (define-key calc-mode-map "g\C-r" 'calc-graph-range-z)
305 (define-key calc-mode-map "g\C-t" 'calc-graph-title-z)
307 (define-key calc-mode-map "h" 'calc-help-prefix)
309 (define-key calc-mode-map "j" nil)
310 (define-key calc-mode-map "j?" 'calc-j-prefix-help)
311 (define-key calc-mode-map "ja" 'calc-select-additional)
312 (define-key calc-mode-map "jb" 'calc-break-selections)
313 (define-key calc-mode-map "jc" 'calc-clear-selections)
314 (define-key calc-mode-map "jd" 'calc-show-selections)
315 (define-key calc-mode-map "je" 'calc-enable-selections)
316 (define-key calc-mode-map "jl" 'calc-select-less)
317 (define-key calc-mode-map "jm" 'calc-select-more)
318 (define-key calc-mode-map "jn" 'calc-select-next)
319 (define-key calc-mode-map "jo" 'calc-select-once)
320 (define-key calc-mode-map "jp" 'calc-select-previous)
321 (define-key calc-mode-map "jr" 'calc-rewrite-selection)
322 (define-key calc-mode-map "js" 'calc-select-here)
323 (define-key calc-mode-map "jv" 'calc-sel-evaluate)
324 (define-key calc-mode-map "ju" 'calc-unselect)
325 (define-key calc-mode-map "jC" 'calc-sel-commute)
326 (define-key calc-mode-map "jD" 'calc-sel-distribute)
327 (define-key calc-mode-map "jE" 'calc-sel-jump-equals)
328 (define-key calc-mode-map "jI" 'calc-sel-isolate)
329 (define-key calc-mode-map "jJ" 'calc-conj)
330 (define-key calc-mode-map "jL" 'calc-commute-left)
331 (define-key calc-mode-map "jM" 'calc-sel-merge)
332 (define-key calc-mode-map "jN" 'calc-sel-negate)
333 (define-key calc-mode-map "jO" 'calc-select-once-maybe)
334 (define-key calc-mode-map "jR" 'calc-commute-right)
335 (define-key calc-mode-map "jS" 'calc-select-here-maybe)
336 (define-key calc-mode-map "jU" 'calc-sel-unpack)
337 (define-key calc-mode-map "j&" 'calc-sel-invert)
338 (define-key calc-mode-map "j\r" 'calc-copy-selection)
339 (define-key calc-mode-map "j\n" 'calc-copy-selection)
340 (define-key calc-mode-map "j\010" 'calc-del-selection)
341 (define-key calc-mode-map "j\177" 'calc-del-selection)
342 (define-key calc-mode-map "j'" 'calc-enter-selection)
343 (define-key calc-mode-map "j`" 'calc-edit-selection)
344 (define-key calc-mode-map "j+" 'calc-sel-add-both-sides)
345 (define-key calc-mode-map "j-" 'calc-sel-sub-both-sides)
346 (define-key calc-mode-map "j*" 'calc-sel-mult-both-sides)
347 (define-key calc-mode-map "j/" 'calc-sel-div-both-sides)
348 (define-key calc-mode-map "j\"" 'calc-sel-expand-formula)
350 (define-key calc-mode-map "k" nil)
351 (define-key calc-mode-map "k?" 'calc-k-prefix-help)
352 (define-key calc-mode-map "ka" 'calc-random-again)
353 (define-key calc-mode-map "kb" 'calc-bernoulli-number)
354 (define-key calc-mode-map "kc" 'calc-choose)
355 (define-key calc-mode-map "kd" 'calc-double-factorial)
356 (define-key calc-mode-map "ke" 'calc-euler-number)
357 (define-key calc-mode-map "kf" 'calc-prime-factors)
358 (define-key calc-mode-map "kg" 'calc-gcd)
359 (define-key calc-mode-map "kh" 'calc-shuffle)
360 (define-key calc-mode-map "kl" 'calc-lcm)
361 (define-key calc-mode-map "km" 'calc-moebius)
362 (define-key calc-mode-map "kn" 'calc-next-prime)
363 (define-key calc-mode-map "kp" 'calc-prime-test)
364 (define-key calc-mode-map "kr" 'calc-random)
365 (define-key calc-mode-map "ks" 'calc-stirling-number)
366 (define-key calc-mode-map "kt" 'calc-totient)
367 (define-key calc-mode-map "kB" 'calc-utpb)
368 (define-key calc-mode-map "kC" 'calc-utpc)
369 (define-key calc-mode-map "kE" 'calc-extended-gcd)
370 (define-key calc-mode-map "kF" 'calc-utpf)
371 (define-key calc-mode-map "kK" 'calc-keep-args)
372 (define-key calc-mode-map "kN" 'calc-utpn)
373 (define-key calc-mode-map "kP" 'calc-utpp)
374 (define-key calc-mode-map "kT" 'calc-utpt)
376 (define-key calc-mode-map "m" nil)
377 (define-key calc-mode-map "m?" 'calc-m-prefix-help)
378 (define-key calc-mode-map "ma" 'calc-algebraic-mode)
379 (define-key calc-mode-map "md" 'calc-degrees-mode)
380 (define-key calc-mode-map "mf" 'calc-frac-mode)
381 (define-key calc-mode-map "mg" 'calc-get-modes)
382 (define-key calc-mode-map "mh" 'calc-hms-mode)
383 (define-key calc-mode-map "mi" 'calc-infinite-mode)
384 (define-key calc-mode-map "mm" 'calc-save-modes)
385 (define-key calc-mode-map "mp" 'calc-polar-mode)
386 (define-key calc-mode-map "mr" 'calc-radians-mode)
387 (define-key calc-mode-map "ms" 'calc-symbolic-mode)
388 (define-key calc-mode-map "mt" 'calc-total-algebraic-mode)
389 (define-key calc-mode-map "\emt" 'calc-total-algebraic-mode)
390 (define-key calc-mode-map "\em\et" 'calc-total-algebraic-mode)
391 (define-key calc-mode-map "mv" 'calc-matrix-mode)
392 (define-key calc-mode-map "mw" 'calc-working)
393 (define-key calc-mode-map "mx" 'calc-always-load-extensions)
394 (define-key calc-mode-map "mA" 'calc-alg-simplify-mode)
395 (define-key calc-mode-map "mB" 'calc-bin-simplify-mode)
396 (define-key calc-mode-map "mC" 'calc-auto-recompute)
397 (define-key calc-mode-map "mD" 'calc-default-simplify-mode)
398 (define-key calc-mode-map "mE" 'calc-ext-simplify-mode)
399 (define-key calc-mode-map "mF" 'calc-settings-file-name)
400 (define-key calc-mode-map "mM" 'calc-more-recursion-depth)
401 (define-key calc-mode-map "mN" 'calc-num-simplify-mode)
402 (define-key calc-mode-map "mO" 'calc-no-simplify-mode)
403 (define-key calc-mode-map "mR" 'calc-mode-record-mode)
404 (define-key calc-mode-map "mS" 'calc-shift-prefix)
405 (define-key calc-mode-map "mU" 'calc-units-simplify-mode)
406 (define-key calc-mode-map "mX" 'calc-load-everything)
408 (define-key calc-mode-map "r" nil)
409 (define-key calc-mode-map "r?" 'calc-r-prefix-help)
411 (define-key calc-mode-map "s" nil)
412 (define-key calc-mode-map "s?" 'calc-s-prefix-help)
413 (define-key calc-mode-map "sc" 'calc-copy-variable)
414 (define-key calc-mode-map "sd" 'calc-declare-variable)
415 (define-key calc-mode-map "se" 'calc-edit-variable)
416 (define-key calc-mode-map "si" 'calc-insert-variables)
417 (define-key calc-mode-map "sl" 'calc-let)
418 (define-key calc-mode-map "sm" 'calc-store-map)
419 (define-key calc-mode-map "sn" 'calc-store-neg)
420 (define-key calc-mode-map "sp" 'calc-permanent-variable)
421 (define-key calc-mode-map "sr" 'calc-recall)
422 (define-key calc-mode-map "ss" 'calc-store)
423 (define-key calc-mode-map "st" 'calc-store-into)
424 (define-key calc-mode-map "su" 'calc-unstore)
425 (define-key calc-mode-map "sx" 'calc-store-exchange)
426 (define-key calc-mode-map "sA" 'calc-edit-AlgSimpRules)
427 (define-key calc-mode-map "sD" 'calc-edit-Decls)
428 (define-key calc-mode-map "sE" 'calc-edit-EvalRules)
429 (define-key calc-mode-map "sF" 'calc-edit-FitRules)
430 (define-key calc-mode-map "sG" 'calc-edit-GenCount)
431 (define-key calc-mode-map "sH" 'calc-edit-Holidays)
432 (define-key calc-mode-map "sI" 'calc-edit-IntegLimit)
433 (define-key calc-mode-map "sL" 'calc-edit-LineStyles)
434 (define-key calc-mode-map "sP" 'calc-edit-PointStyles)
435 (define-key calc-mode-map "sR" 'calc-edit-PlotRejects)
436 (define-key calc-mode-map "sS" 'calc-sin)
437 (define-key calc-mode-map "sT" 'calc-edit-TimeZone)
438 (define-key calc-mode-map "sU" 'calc-edit-Units)
439 (define-key calc-mode-map "sX" 'calc-edit-ExtSimpRules)
440 (define-key calc-mode-map "s+" 'calc-store-plus)
441 (define-key calc-mode-map "s-" 'calc-store-minus)
442 (define-key calc-mode-map "s*" 'calc-store-times)
443 (define-key calc-mode-map "s/" 'calc-store-div)
444 (define-key calc-mode-map "s^" 'calc-store-power)
445 (define-key calc-mode-map "s|" 'calc-store-concat)
446 (define-key calc-mode-map "s&" 'calc-store-inv)
447 (define-key calc-mode-map "s[" 'calc-store-decr)
448 (define-key calc-mode-map "s]" 'calc-store-incr)
449 (define-key calc-mode-map "s:" 'calc-assign)
450 (define-key calc-mode-map "s=" 'calc-evalto)
452 (define-key calc-mode-map "t" nil)
453 (define-key calc-mode-map "t?" 'calc-t-prefix-help)
454 (define-key calc-mode-map "tb" 'calc-trail-backward)
455 (define-key calc-mode-map "td" 'calc-trail-display)
456 (define-key calc-mode-map "tf" 'calc-trail-forward)
457 (define-key calc-mode-map "th" 'calc-trail-here)
458 (define-key calc-mode-map "ti" 'calc-trail-in)
459 (define-key calc-mode-map "tk" 'calc-trail-kill)
460 (define-key calc-mode-map "tm" 'calc-trail-marker)
461 (define-key calc-mode-map "tn" 'calc-trail-next)
462 (define-key calc-mode-map "to" 'calc-trail-out)
463 (define-key calc-mode-map "tp" 'calc-trail-previous)
464 (define-key calc-mode-map "tr" 'calc-trail-isearch-backward)
465 (define-key calc-mode-map "ts" 'calc-trail-isearch-forward)
466 (define-key calc-mode-map "ty" 'calc-trail-yank)
467 (define-key calc-mode-map "t[" 'calc-trail-first)
468 (define-key calc-mode-map "t]" 'calc-trail-last)
469 (define-key calc-mode-map "t<" 'calc-trail-scroll-left)
470 (define-key calc-mode-map "t>" 'calc-trail-scroll-right)
471 (define-key calc-mode-map "t{" 'calc-trail-backward)
472 (define-key calc-mode-map "t}" 'calc-trail-forward)
473 (define-key calc-mode-map "t." 'calc-full-trail-vectors)
474 (define-key calc-mode-map "tC" 'calc-convert-time-zones)
475 (define-key calc-mode-map "tD" 'calc-date)
476 (define-key calc-mode-map "tI" 'calc-inc-month)
477 (define-key calc-mode-map "tJ" 'calc-julian)
478 (define-key calc-mode-map "tM" 'calc-new-month)
479 (define-key calc-mode-map "tN" 'calc-now)
480 (define-key calc-mode-map "tP" 'calc-date-part)
481 (define-key calc-mode-map "tT" 'calc-tan)
482 (define-key calc-mode-map "tU" 'calc-unix-time)
483 (define-key calc-mode-map "tW" 'calc-new-week)
484 (define-key calc-mode-map "tY" 'calc-new-year)
485 (define-key calc-mode-map "tZ" 'calc-time-zone)
486 (define-key calc-mode-map "t+" 'calc-business-days-plus)
487 (define-key calc-mode-map "t-" 'calc-business-days-minus)
489 (define-key calc-mode-map "u" 'nil)
490 (define-key calc-mode-map "u?" 'calc-u-prefix-help)
491 (define-key calc-mode-map "ua" 'calc-autorange-units)
492 (define-key calc-mode-map "ub" 'calc-base-units)
493 (define-key calc-mode-map "uc" 'calc-convert-units)
494 (define-key calc-mode-map "ud" 'calc-define-unit)
495 (define-key calc-mode-map "ue" 'calc-explain-units)
496 (define-key calc-mode-map "ug" 'calc-get-unit-definition)
497 (define-key calc-mode-map "up" 'calc-permanent-units)
498 (define-key calc-mode-map "ur" 'calc-remove-units)
499 (define-key calc-mode-map "us" 'calc-simplify-units)
500 (define-key calc-mode-map "ut" 'calc-convert-temperature)
501 (define-key calc-mode-map "uu" 'calc-undefine-unit)
502 (define-key calc-mode-map "uv" 'calc-enter-units-table)
503 (define-key calc-mode-map "ux" 'calc-extract-units)
504 (define-key calc-mode-map "uV" 'calc-view-units-table)
505 (define-key calc-mode-map "uC" 'calc-vector-covariance)
506 (define-key calc-mode-map "uG" 'calc-vector-geometric-mean)
507 (define-key calc-mode-map "uM" 'calc-vector-mean)
508 (define-key calc-mode-map "uN" 'calc-vector-min)
509 (define-key calc-mode-map "uS" 'calc-vector-sdev)
510 (define-key calc-mode-map "uU" 'calc-undo)
511 (define-key calc-mode-map "uX" 'calc-vector-max)
512 (define-key calc-mode-map "u#" 'calc-vector-count)
513 (define-key calc-mode-map "u+" 'calc-vector-sum)
514 (define-key calc-mode-map "u*" 'calc-vector-product)
516 (define-key calc-mode-map "v" 'nil)
517 (define-key calc-mode-map "v?" 'calc-v-prefix-help)
518 (define-key calc-mode-map "va" 'calc-arrange-vector)
519 (define-key calc-mode-map "vb" 'calc-build-vector)
520 (define-key calc-mode-map "vc" 'calc-mcol)
521 (define-key calc-mode-map "vd" 'calc-diag)
522 (define-key calc-mode-map "ve" 'calc-expand-vector)
523 (define-key calc-mode-map "vf" 'calc-vector-find)
524 (define-key calc-mode-map "vh" 'calc-head)
525 (define-key calc-mode-map "vi" 'calc-ident)
526 (define-key calc-mode-map "vk" 'calc-cons)
527 (define-key calc-mode-map "vl" 'calc-vlength)
528 (define-key calc-mode-map "vm" 'calc-mask-vector)
529 (define-key calc-mode-map "vn" 'calc-rnorm)
530 (define-key calc-mode-map "vp" 'calc-pack)
531 (define-key calc-mode-map "vr" 'calc-mrow)
532 (define-key calc-mode-map "vs" 'calc-subvector)
533 (define-key calc-mode-map "vt" 'calc-transpose)
534 (define-key calc-mode-map "vu" 'calc-unpack)
535 (define-key calc-mode-map "vv" 'calc-reverse-vector)
536 (define-key calc-mode-map "vx" 'calc-index)
537 (define-key calc-mode-map "vA" 'calc-apply)
538 (define-key calc-mode-map "vC" 'calc-cross)
539 (define-key calc-mode-map "vD" 'calc-mdet)
540 (define-key calc-mode-map "vE" 'calc-set-enumerate)
541 (define-key calc-mode-map "vF" 'calc-set-floor)
542 (define-key calc-mode-map "vG" 'calc-grade)
543 (define-key calc-mode-map "vH" 'calc-histogram)
544 (define-key calc-mode-map "vI" 'calc-inner-product)
545 (define-key calc-mode-map "vJ" 'calc-conj-transpose)
546 (define-key calc-mode-map "vL" 'calc-mlud)
547 (define-key calc-mode-map "vM" 'calc-map)
548 (define-key calc-mode-map "vN" 'calc-cnorm)
549 (define-key calc-mode-map "vO" 'calc-outer-product)
550 (define-key calc-mode-map "vR" 'calc-reduce)
551 (define-key calc-mode-map "vS" 'calc-sort)
552 (define-key calc-mode-map "vT" 'calc-mtrace)
553 (define-key calc-mode-map "vU" 'calc-accumulate)
554 (define-key calc-mode-map "vV" 'calc-set-union)
555 (define-key calc-mode-map "vX" 'calc-set-xor)
556 (define-key calc-mode-map "v^" 'calc-set-intersect)
557 (define-key calc-mode-map "v-" 'calc-set-difference)
558 (define-key calc-mode-map "v~" 'calc-set-complement)
559 (define-key calc-mode-map "v:" 'calc-set-span)
560 (define-key calc-mode-map "v#" 'calc-set-cardinality)
561 (define-key calc-mode-map "v+" 'calc-remove-duplicates)
562 (define-key calc-mode-map "v&" 'calc-inv)
563 (define-key calc-mode-map "v<" 'calc-matrix-left-justify)
564 (define-key calc-mode-map "v=" 'calc-matrix-center-justify)
565 (define-key calc-mode-map "v>" 'calc-matrix-right-justify)
566 (define-key calc-mode-map "v." 'calc-full-vectors)
567 (define-key calc-mode-map "v/" 'calc-break-vectors)
568 (define-key calc-mode-map "v," 'calc-vector-commas)
569 (define-key calc-mode-map "v[" 'calc-vector-brackets)
570 (define-key calc-mode-map "v]" 'calc-matrix-brackets)
571 (define-key calc-mode-map "v{" 'calc-vector-braces)
572 (define-key calc-mode-map "v}" 'calc-matrix-brackets)
573 (define-key calc-mode-map "v(" 'calc-vector-parens)
574 (define-key calc-mode-map "v)" 'calc-matrix-brackets)
575 ;; We can't rely on the automatic upper->lower conversion because
576 ;; in the global map V is explicitly bound, so we need to bind it
577 ;; explicitly as well :-( --stef
578 (define-key calc-mode-map "V" (lookup-key calc-mode-map "v"))
580 (define-key calc-mode-map "z" 'nil)
581 (define-key calc-mode-map "z?" 'calc-z-prefix-help)
583 (define-key calc-mode-map "Z" 'nil)
584 (define-key calc-mode-map "Z?" 'calc-shift-Z-prefix-help)
585 (define-key calc-mode-map "ZC" 'calc-user-define-composition)
586 (define-key calc-mode-map "ZD" 'calc-user-define)
587 (define-key calc-mode-map "ZE" 'calc-user-define-edit)
588 (define-key calc-mode-map "ZF" 'calc-user-define-formula)
589 (define-key calc-mode-map "ZG" 'calc-get-user-defn)
590 (define-key calc-mode-map "ZI" 'calc-user-define-invocation)
591 (define-key calc-mode-map "ZK" 'calc-user-define-kbd-macro)
592 (define-key calc-mode-map "ZP" 'calc-user-define-permanent)
593 (define-key calc-mode-map "ZS" 'calc-edit-user-syntax)
594 (define-key calc-mode-map "ZT" 'calc-timing)
595 (define-key calc-mode-map "ZU" 'calc-user-undefine)
596 (define-key calc-mode-map "Z[" 'calc-kbd-if)
597 (define-key calc-mode-map "Z:" 'calc-kbd-else)
598 (define-key calc-mode-map "Z|" 'calc-kbd-else-if)
599 (define-key calc-mode-map "Z]" 'calc-kbd-end-if)
600 (define-key calc-mode-map "Z<" 'calc-kbd-repeat)
601 (define-key calc-mode-map "Z>" 'calc-kbd-end-repeat)
602 (define-key calc-mode-map "Z(" 'calc-kbd-for)
603 (define-key calc-mode-map "Z)" 'calc-kbd-end-for)
604 (define-key calc-mode-map "Z{" 'calc-kbd-loop)
605 (define-key calc-mode-map "Z}" 'calc-kbd-end-loop)
606 (define-key calc-mode-map "Z/" 'calc-kbd-break)
607 (define-key calc-mode-map "Z`" 'calc-kbd-push)
608 (define-key calc-mode-map "Z'" 'calc-kbd-pop)
609 (define-key calc-mode-map "Z=" 'calc-kbd-report)
610 (define-key calc-mode-map "Z#" 'calc-kbd-query)
616 (define-key calc-mode-map (format "c%c" x) 'calc-clean-num)
617 (define-key calc-mode-map (format "j%c" x) 'calc-select-part)
618 (define-key calc-mode-map (format "r%c" x) 'calc-recall-quick)
619 (define-key calc-mode-map (format "s%c" x) 'calc-store-quick)
620 (define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick)
621 (define-key calc-mode-map (format "u%c" x) 'calc-quick-units)))
626 (if (eq (car-safe (aref (nth 1 calc-mode-map) i)) 'keymap)
627 (aset (nth 1 calc-mode-map) i
628 (cons 'keymap (cons (cons ?\e (aref (nth 1 calc-mode-map) i))
629 (cdr (aref (nth 1 calc-mode-map) i))))))
632 (setq calc-alg-map (copy-keymap calc-mode-map)
633 calc-alg-esc-map (copy-keymap esc-map))
636 (or (memq i '(?' ?` ?= ??))
637 (aset (nth 1 calc-alg-map) i 'calc-auto-algebraic-entry))
638 (or (memq i '(?# ?x ?0 ?1 ?2 ?3 ?4 ?5 ?6 ?7 ?8 ?9))
639 (aset (nth 1 calc-alg-esc-map) i (aref (nth 1 calc-mode-map) i)))
641 (define-key calc-alg-map "\e" calc-alg-esc-map)
642 (define-key calc-alg-map "\e\t" 'calc-roll-up)
643 (define-key calc-alg-map "\e\C-m" 'calc-last-args-stub)
644 (define-key calc-alg-map "\e\177" 'calc-pop-above)
646 ;;;; (Autoloads here)
647 (mapcar (function (lambda (x)
648 (mapcar (function (lambda (func)
649 (autoload func (car x)))) (cdr x))))
652 ("calc-alg" calc-Need-calc-alg calc-has-rules
653 calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
654 calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
655 calcFunc-simplify calcFunc-subst math-beforep
656 math-build-polynomial-expr math-expand-formula math-expr-contains
657 math-expr-contains-count math-expr-depends math-expr-height
658 math-expr-subst math-expr-weight math-integer-plus math-is-linear
659 math-is-multiple math-is-polynomial math-linear-in math-multiple-of
660 math-need-std-simps math-poly-depends math-poly-mix math-poly-mul
661 math-poly-simplify math-poly-zerop math-polynomial-base
662 math-polynomial-p math-recompile-eval-rules math-simplify
663 math-simplify-exp math-simplify-extended math-simplify-sqrt
664 math-to-simple-fraction)
666 ("calcalg2" calc-Need-calc-alg-2 calcFunc-asum calcFunc-deriv
667 calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly
668 calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots
669 calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor
670 calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12
671 math-integral-rational-funcs math-lcm-denoms math-looks-evenp
672 math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn
673 math-solve-for math-sum-rec math-try-integral)
675 ("calcalg3" calc-Need-calc-alg-3 calcFunc-efit calcFunc-fit
676 calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar
677 calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize
678 calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint
679 calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot
680 calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate
681 math-ninteg-midpoint math-ninteg-romberg math-poly-interp)
683 ("calc-arith" calc-Need-calc-arith calcFunc-abs calcFunc-abssqr
684 calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag
685 calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg
686 calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd
687 calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
688 calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
689 calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
690 calcFunc-idiv calcFunc-incr calcFunc-mant calcFunc-max calcFunc-min
691 calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
692 calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
693 calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
694 math-add-objects-fancy math-add-or-sub math-add-symb-fancy
695 math-ceiling math-combine-prod math-combine-sum math-div-by-zero
696 math-div-objects-fancy math-div-symb-fancy math-div-zero
697 math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg
698 math-intv-constp math-known-evenp math-known-imagp math-known-integerp
699 math-known-matrixp math-known-negp math-known-nonnegp
700 math-known-nonposp math-known-nonzerop math-known-num-integerp
701 math-known-oddp math-known-posp math-known-realp math-known-scalarp
702 math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy
703 math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy
704 math-neg-float math-okay-neg math-possible-signs math-possible-types
705 math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero
706 math-quarter-integer math-round math-setup-declarations math-sqr
707 math-sqr-float math-trunc-fancy math-trunc-special)
709 ("calc-bin" calc-Need-calc-bin calcFunc-and calcFunc-ash
710 calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or
711 calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip
712 math-compute-max-digits math-convert-radix-digits math-float-parts
713 math-format-bignum-binary math-format-bignum-hex
714 math-format-bignum-octal math-format-bignum-radix math-format-binary
715 math-format-radix math-format-radix-float math-integer-log2
716 math-power-of-2 math-radix-float-power)
718 ("calc-comb" calc-Need-calc-comb calc-report-prime-test
719 calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact
720 calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime
721 calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime
722 calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2
723 calcFunc-totient math-init-random-base math-member math-prime-test
726 ("calccomp" calc-Need-calc-comp calcFunc-cascent calcFunc-cdescent
727 calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent
728 math-comp-height math-comp-width math-compose-expr
729 math-composition-to-string math-stack-value-offset-fancy
730 math-vector-is-string math-vector-to-string)
732 ("calc-cplx" calc-Need-calc-cplx calcFunc-arg calcFunc-conj
733 calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex
734 math-fix-circular math-imaginary math-imaginary-i math-normalize-polar
735 math-polar math-want-polar)
737 ("calc-embed" calc-Need-calc-embed calc-do-embedded
738 calc-do-embedded-activate calc-embedded-evaluate-expr
739 calc-embedded-modes-change calc-embedded-var-change)
741 ("calc-fin" calc-Need-calc-fin calc-to-percentage calcFunc-ddb
742 calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb
743 calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb
744 calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl
745 calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd)
747 ("calc-forms" calc-Need-calc-forms calcFunc-badd calcFunc-bsub
748 calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms
749 calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear
750 calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute
751 calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear
752 calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second
753 calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime
754 calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals
755 math-date-parts math-date-to-dt math-div-mod math-dt-to-date
756 math-format-date math-from-business-day math-from-hms math-make-intv
757 math-make-mod math-make-sdev math-mod-intv math-normalize-hms
758 math-normalize-mod math-parse-date math-read-angle-brackets
759 math-setup-add-holidays math-setup-holidays math-setup-year-holidays
760 math-sort-intv math-to-business-day math-to-hms)
762 ("calc-frac" calc-Need-calc-frac calc-add-fractions
763 calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac
766 ("calc-funcs" calc-Need-calc-funcs calc-prob-dist calcFunc-bern
767 calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB
768 calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler
769 calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ
770 calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf
771 calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc
772 calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt
773 math-bernoulli-number math-gammap1-raw)
775 ("calc-graph" calc-Need-calc-graph calc-graph-show-tty)
777 ("calc-help" calc-Need-calc-help)
779 ("calc-incom" calc-Need-calc-incom calc-digit-dots)
781 ("calc-keypd" calc-Need-calc-keypd calc-do-keypad
782 calc-keypad-x-left-click calc-keypad-x-middle-click
783 calc-keypad-x-right-click)
785 ("calc-lang" calc-Need-calc-lang calc-set-language
786 math-read-big-balance math-read-big-rec)
788 ("calc-map" calc-Need-calc-map calc-get-operator calcFunc-accum
789 calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call
790 calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc
791 calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr
792 calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum
793 calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced
794 calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec
795 calcFunc-rreduced calcFunc-rreducer math-build-call
796 math-calcFunc-to-var math-multi-subst math-multi-subst-rec
797 math-var-to-calcFunc)
799 ("calc-mtx" calc-Need-calc-mat calcFunc-det calcFunc-lud calcFunc-tr
800 math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud
801 math-mul-mat-vec math-mul-mats math-row-matrix)
803 ("calc-math" calc-Need-calc-math calcFunc-alog calcFunc-arccos
804 calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh
805 calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-cos
806 calcFunc-cosh 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-sin
809 calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan
810 calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw
811 math-arctan2-raw math-cos-raw math-exp-minus-1-raw math-exp-raw
812 math-from-radians math-from-radians-2 math-hypot math-infinite-dir
813 math-isqrt-small math-ln-raw math-nearly-equal math-nearly-equal-float
814 math-nearly-zerop math-nearly-zerop-float math-nth-root
815 math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw
816 math-tan-raw math-to-radians math-to-radians-2)
818 ("calc-mode" calc-Need-calc-mode math-get-modes-vec)
820 ("calc-poly" calc-Need-calc-poly calcFunc-apart calcFunc-expand
821 calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat
822 calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide
823 calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim
824 calcFunc-prem math-accum-factors math-atomic-factorp
825 math-div-poly-const math-div-thru math-expand-power math-expand-term
826 math-factor-contains math-factor-expr math-factor-expr-part
827 math-factor-expr-try math-factor-finish math-factor-poly-coefs
828 math-factor-protect math-mul-thru math-padded-polynomial
829 math-partial-fractions math-poly-degree math-poly-deriv-coefs
830 math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p
831 math-to-ratpoly math-to-ratpoly-rec)
833 ("calc-prog" calc-Need-calc-prog calc-default-formula-arglist
834 calc-execute-kbd-macro calc-finish-user-syntax-edit
835 calc-fix-token-name calc-fix-user-formula calc-read-parse-table
836 calc-read-parse-table-part calc-subsetp calc-write-parse-table
837 calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq
838 calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue
839 calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt
840 calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real
841 calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable
842 math-body-refers-to math-break math-composite-inequalities
843 math-do-defmath math-handle-for math-handle-foreach
844 math-normalize-logical-op math-return)
846 ("calc-rewr" calc-Need-calc-rewr calcFunc-match calcFunc-matches
847 calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches
848 math-apply-rewrites math-compile-patterns math-compile-rewrites
849 math-flatten-lands math-match-patterns math-rewrite
852 ("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules
853 calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules
854 calc-MergeRules calc-Need-calc-rules calc-NegateRules
855 calc-compile-rule-set)
857 ("calc-sel" calc-Need-calc-sel calc-auto-selection
858 calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula
859 calc-find-parent-formula calc-find-sub-formula calc-prepare-selection
860 calc-preserve-point calc-replace-selections calc-replace-sub-formula
861 calc-roll-down-with-selections calc-roll-up-with-selections
864 ("calcsel2" calc-Need-calc-sel-2)
866 ("calc-stat" calc-Need-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-Need-calc-store calc-read-var-name
874 calc-store-value calc-var-name)
876 ("calc-stuff" calc-Need-calc-stuff calc-explain-why calcFunc-clean
877 calcFunc-pclean calcFunc-pfloat calcFunc-pfrac)
879 ("calc-trail" calc-Need-calc-trail)
881 ("calc-undo" calc-Need-calc-undo)
883 ("calc-units" calc-Need-calc-units calcFunc-usimplify
884 math-build-units-table math-build-units-table-buffer
885 math-check-unit-name math-convert-temperature math-convert-units
886 math-extract-units math-remove-units math-simplify-units
887 math-single-units-in-expr-p math-to-standard-units
888 math-units-in-expr-p)
890 ("calc-vec" calc-Need-calc-vec calcFunc-append calcFunc-appendrev
891 calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross
892 calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find
893 calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram
894 calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims
895 calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack
896 calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade
897 calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec
898 calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec
899 calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt
900 calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev
901 calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp
902 calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask
903 calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack
904 calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix
905 math-dimension-error math-dot-product math-flatten-vector math-map-vec
906 math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set
907 math-read-brackets math-reduce-cols math-reduce-vec math-transpose)
909 ("calc-yank" calc-Need-calc-yank calc-alg-edit calc-clean-newlines
910 calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit
911 calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer)
915 (mapcar (function (lambda (x)
916 (mapcar (function (lambda (cmd)
917 (autoload cmd (car x) nil t))) (cdr x))))
920 ("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
921 calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
922 calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
923 calc-simplify-extended calc-substitute)
925 ("calcalg2" calc-alt-summation calc-derivative
926 calc-dump-integral-cache calc-integral calc-num-integral
927 calc-poly-roots calc-product calc-solve-for calc-summation
928 calc-tabulate calc-taylor)
930 ("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum
931 calc-find-root calc-poly-interp)
933 ("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement
934 calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min
935 calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part)
937 ("calc-bin" calc-and calc-binary-radix calc-clip calc-decimal-radix
938 calc-diff calc-hex-radix calc-leading-zeros calc-lshift-arith
939 calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix
940 calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size
943 ("calc-comb" calc-choose calc-double-factorial calc-extended-gcd
944 calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius
945 calc-next-prime calc-perm calc-prev-prime calc-prime-factors
946 calc-prime-test calc-random calc-random-again calc-rrandom
947 calc-shuffle calc-totient)
949 ("calc-cplx" calc-argument calc-complex-notation calc-i-notation
950 calc-im calc-j-notation calc-polar calc-polar-mode calc-re)
952 ("calc-embed" calc-embedded-copy-formula-as-kill
953 calc-embedded-duplicate calc-embedded-edit calc-embedded-forget
954 calc-embedded-kill-formula calc-embedded-mark-formula
955 calc-embedded-new-formula calc-embedded-next calc-embedded-previous
956 calc-embedded-select calc-embedded-update-formula calc-embedded-word
957 calc-find-globals calc-show-plain)
959 ("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv
960 calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv
961 calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change)
963 ("calc-forms" calc-business-days-minus calc-business-days-plus
964 calc-convert-time-zones calc-date calc-date-notation calc-date-part
965 calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month
966 calc-julian calc-new-month calc-new-week calc-new-year calc-now
967 calc-time calc-time-zone calc-to-hms calc-unix-time)
969 ("calc-frac" calc-fdiv calc-frac-mode calc-fraction
970 calc-over-notation calc-slash-notation)
972 ("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y
973 calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta
974 calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf
975 calc-utpn calc-utpp calc-utpt)
977 ("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border
978 calc-graph-clear calc-graph-command calc-graph-delete
979 calc-graph-device calc-graph-display calc-graph-fast
980 calc-graph-fast-3d calc-graph-geometry calc-graph-grid
981 calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key
982 calc-graph-kill calc-graph-line-style calc-graph-log-x
983 calc-graph-log-y calc-graph-log-z calc-graph-name
984 calc-graph-num-points calc-graph-output calc-graph-plot
985 calc-graph-point-style calc-graph-print calc-graph-quit
986 calc-graph-range-x calc-graph-range-y calc-graph-range-z
987 calc-graph-show-dumb calc-graph-title-x calc-graph-title-y
988 calc-graph-title-z calc-graph-view-commands calc-graph-view-trail
989 calc-graph-zero-x calc-graph-zero-y)
991 ("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help
992 calc-d-prefix-help calc-describe-function calc-describe-key
993 calc-describe-key-briefly calc-describe-variable calc-f-prefix-help
994 calc-full-help calc-g-prefix-help calc-help-prefix
995 calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help
996 calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help
997 calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help
998 calc-t-prefix-help calc-u-prefix-help calc-v-prefix-help)
1000 ("calc-incom" calc-begin-complex calc-begin-vector calc-comma
1001 calc-dots calc-end-complex calc-end-vector calc-semi)
1003 ("calc-keypd" calc-keypad-menu calc-keypad-menu-back
1006 ("calc-lang" calc-big-language calc-c-language calc-eqn-language
1007 calc-flat-language calc-fortran-language calc-maple-language
1008 calc-mathematica-language calc-normal-language calc-pascal-language
1009 calc-tex-language calc-unformatted-language)
1011 ("calc-map" calc-accumulate calc-apply calc-inner-product calc-map
1012 calc-map-equation calc-map-stack calc-outer-product calc-reduce)
1014 ("calc-mtx" calc-mdet calc-mlud calc-mtrace)
1016 ("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh
1017 calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh
1018 calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog
1019 calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10
1020 calc-pi calc-radians-mode calc-sin calc-sincos calc-sinh calc-sqrt
1021 calc-tan calc-tanh calc-to-degrees calc-to-radians)
1023 ("calc-mode" calc-alg-simplify-mode calc-algebraic-mode
1024 calc-always-load-extensions calc-auto-recompute calc-auto-why
1025 calc-bin-simplify-mode calc-break-vectors calc-center-justify
1026 calc-default-simplify-mode calc-display-raw calc-eng-notation
1027 calc-ext-simplify-mode calc-fix-notation calc-full-trail-vectors
1028 calc-full-vectors calc-get-modes calc-group-char calc-group-digits
1029 calc-infinite-mode calc-left-justify calc-left-label
1030 calc-line-breaking calc-line-numbering calc-matrix-brackets
1031 calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode
1032 calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode
1033 calc-normal-notation calc-num-simplify-mode calc-point-char
1034 calc-right-justify calc-right-label calc-save-modes calc-sci-notation
1035 calc-settings-file-name calc-shift-prefix calc-symbolic-mode
1036 calc-total-algebraic-mode calc-truncate-down calc-truncate-stack
1037 calc-truncate-up calc-units-simplify-mode calc-vector-braces
1038 calc-vector-brackets calc-vector-commas calc-vector-parens
1041 ("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax
1042 calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
1043 calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if
1044 calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat
1045 calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push
1046 calc-kbd-query calc-kbd-repeat calc-kbd-report calc-less-equal
1047 calc-less-than calc-logical-and calc-logical-if calc-logical-not
1048 calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal
1049 calc-timing calc-user-define calc-user-define-composition
1050 calc-user-define-edit calc-user-define-formula
1051 calc-user-define-invocation calc-user-define-kbd-macro
1052 calc-user-define-permanent calc-user-undefine)
1054 ("calc-rewr" calc-match calc-rewrite calc-rewrite-selection)
1056 ("calc-sel" calc-break-selections calc-clear-selections
1057 calc-copy-selection calc-del-selection calc-edit-selection
1058 calc-enable-selections calc-enter-selection calc-sel-add-both-sides
1059 calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula
1060 calc-sel-mult-both-sides calc-sel-sub-both-sides
1061 calc-select-additional calc-select-here calc-select-here-maybe
1062 calc-select-less calc-select-more calc-select-next calc-select-once
1063 calc-select-once-maybe calc-select-part calc-select-previous
1064 calc-show-selections calc-unselect)
1066 ("calcsel2" calc-commute-left calc-commute-right calc-sel-commute
1067 calc-sel-distribute calc-sel-invert calc-sel-isolate
1068 calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack)
1070 ("calc-stat" calc-vector-correlation calc-vector-count
1071 calc-vector-covariance calc-vector-geometric-mean
1072 calc-vector-harmonic-mean calc-vector-max calc-vector-mean
1073 calc-vector-mean-error calc-vector-median calc-vector-min
1074 calc-vector-pop-covariance calc-vector-pop-sdev
1075 calc-vector-pop-variance calc-vector-product calc-vector-sdev
1076 calc-vector-sum calc-vector-variance)
1078 ("calc-store" calc-assign calc-copy-variable calc-declare-variable
1079 calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules
1080 calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount
1081 calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles
1082 calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone
1083 calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables
1084 calc-let calc-permanent-variable calc-recall calc-recall-quick
1085 calc-store calc-store-concat calc-store-decr calc-store-div
1086 calc-store-exchange calc-store-incr calc-store-into
1087 calc-store-into-quick calc-store-inv calc-store-map calc-store-minus
1088 calc-store-neg calc-store-plus calc-store-power calc-store-quick
1089 calc-store-times calc-subscript calc-unstore)
1091 ("calc-stuff" calc-clean calc-clean-num calc-flush-caches
1092 calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix
1093 calc-version calc-why)
1095 ("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward
1096 calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward
1097 calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next
1098 calc-trail-out calc-trail-previous calc-trail-scroll-left
1099 calc-trail-scroll-right calc-trail-yank)
1101 ("calc-undo" calc-last-args calc-redo calc-undo)
1103 ("calc-units" calc-autorange-units calc-base-units
1104 calc-convert-temperature calc-convert-units calc-define-unit
1105 calc-enter-units-table calc-explain-units calc-extract-units
1106 calc-get-unit-definition calc-permanent-units calc-quick-units
1107 calc-remove-units calc-simplify-units calc-undefine-unit
1108 calc-view-units-table)
1110 ("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm
1111 calc-conj-transpose calc-cons calc-cross calc-diag
1112 calc-display-strings calc-expand-vector calc-grade calc-head
1113 calc-histogram calc-ident calc-index calc-mask-vector calc-mcol
1114 calc-mrow calc-pack calc-pack-bits calc-remove-duplicates
1115 calc-reverse-vector calc-rnorm calc-set-cardinality
1116 calc-set-complement calc-set-difference calc-set-enumerate
1117 calc-set-floor calc-set-intersect calc-set-span calc-set-union
1118 calc-set-xor calc-sort calc-subvector calc-tail calc-transpose
1119 calc-unpack calc-unpack-bits calc-vector-find calc-vlength)
1121 ("calc-yank" calc-copy-as-kill calc-copy-region-as-kill
1122 calc-copy-to-buffer calc-edit calc-edit-cancel calc-edit-mode
1123 calc-kill calc-kill-region calc-yank))))
1125 (defun calc-init-prefixes ()
1126 (if calc-shift-prefix
1128 (define-key calc-mode-map "A" (lookup-key calc-mode-map "a"))
1129 (define-key calc-mode-map "B" (lookup-key calc-mode-map "b"))
1130 (define-key calc-mode-map "C" (lookup-key calc-mode-map "c"))
1131 (define-key calc-mode-map "D" (lookup-key calc-mode-map "d"))
1132 (define-key calc-mode-map "F" (lookup-key calc-mode-map "f"))
1133 (define-key calc-mode-map "G" (lookup-key calc-mode-map "g"))
1134 (define-key calc-mode-map "J" (lookup-key calc-mode-map "j"))
1135 (define-key calc-mode-map "K" (lookup-key calc-mode-map "k"))
1136 (define-key calc-mode-map "M" (lookup-key calc-mode-map "m"))
1137 (define-key calc-mode-map "S" (lookup-key calc-mode-map "s"))
1138 (define-key calc-mode-map "T" (lookup-key calc-mode-map "t"))
1139 (define-key calc-mode-map "U" (lookup-key calc-mode-map "u")))
1140 (define-key calc-mode-map "A" 'calc-abs)
1141 (define-key calc-mode-map "B" 'calc-log)
1142 (define-key calc-mode-map "C" 'calc-cos)
1143 (define-key calc-mode-map "D" 'calc-redo)
1144 (define-key calc-mode-map "F" 'calc-floor)
1145 (define-key calc-mode-map "G" 'calc-argument)
1146 (define-key calc-mode-map "J" 'calc-conj)
1147 (define-key calc-mode-map "K" 'calc-keep-args)
1148 (define-key calc-mode-map "M" 'calc-more-recursion-depth)
1149 (define-key calc-mode-map "S" 'calc-sin)
1150 (define-key calc-mode-map "T" 'calc-tan)
1151 (define-key calc-mode-map "U" 'calc-undo)))
1153 (calc-init-extensions)
1160 ;; calc-command-flags is declared in calc.el
1161 (defvar calc-command-flags)
1163 (defun calc-clear-command-flag (f)
1164 (setq calc-command-flags (delq f calc-command-flags)))
1167 (defun calc-record-message (tag &rest args)
1168 (let ((msg (apply 'format args)))
1170 (calc-record msg tag))
1171 (calc-clear-command-flag 'clear-message))
1174 (defun calc-normalize-fancy (val)
1175 (let ((simp (if (consp calc-simplify-mode)
1176 (car calc-simplify-mode)
1177 calc-simplify-mode)))
1178 (cond ((eq simp 'binary)
1179 (let ((s (math-normalize val)))
1181 (math-clip (math-round s))
1184 (math-simplify val))
1186 (math-simplify-extended val))
1188 (math-simplify-units val))
1190 (math-normalize val)))))
1194 (if (boundp 'calc-help-map)
1196 (setq calc-help-map (make-keymap))
1197 (define-key calc-help-map "b" 'calc-describe-bindings)
1198 (define-key calc-help-map "c" 'calc-describe-key-briefly)
1199 (define-key calc-help-map "f" 'calc-describe-function)
1200 (define-key calc-help-map "h" 'calc-full-help)
1201 (define-key calc-help-map "i" 'calc-info)
1202 (define-key calc-help-map "k" 'calc-describe-key)
1203 (define-key calc-help-map "n" 'calc-view-news)
1204 (define-key calc-help-map "s" 'calc-info-summary)
1205 (define-key calc-help-map "t" 'calc-tutorial)
1206 (define-key calc-help-map "v" 'calc-describe-variable)
1207 (define-key calc-help-map "\C-c" 'calc-describe-copying)
1208 (define-key calc-help-map "\C-d" 'calc-describe-distribution)
1209 (define-key calc-help-map "\C-n" 'calc-view-news)
1210 (define-key calc-help-map "\C-w" 'calc-describe-no-warranty)
1211 (define-key calc-help-map "?" 'calc-help-for-help)
1212 (define-key calc-help-map "\C-h" 'calc-help-for-help))
1214 (defvar calc-prefix-help-phase 0)
1215 (defun calc-do-prefix-help (msgs group key)
1216 (if calc-full-help-flag
1217 (list msgs group key)
1220 (setq calc-prefix-help-phase
1221 (if (eq this-command last-command)
1222 (% (1+ calc-prefix-help-phase) (1+ (length msgs)))
1224 (let ((msg (nth calc-prefix-help-phase msgs)))
1225 (message "%s" (if msg
1226 (concat group ": " msg ":"
1228 (- (apply 'max (mapcar 'length msgs))
1232 (concat " " (char-to-string key)
1235 (if key (format "%c-" key) "")))))
1236 (setq calc-prefix-help-phase 0)
1239 (message "%s: %s: %c-" group (car msgs) key)
1240 (message "%s: (none) %c-" group key))
1241 (message "%s: %s" group (car msgs))))
1242 (and key (calc-unread-command key))))
1249 (defun calc-reset (arg)
1252 (or (eq major-mode 'calc-mode)
1253 (calc-create-buffer))
1254 (if calc-embedded-info
1255 (calc-embedded nil))
1257 (setq calc-stack nil))
1258 (setq calc-undo-list nil
1260 (let (calc-stack calc-user-parse-tables calc-standard-date-formats
1261 calc-invocation-macro)
1262 (mapcar (function (lambda (v) (set v nil))) calc-local-var-list)
1263 (mapcar (function (lambda (v) (set (car v) (nth 1 v))))
1264 calc-mode-var-list))
1265 (calc-set-language nil nil t)
1267 (calc-flush-caches t)
1268 (run-hooks 'calc-reset-hook))
1270 (let ((win (get-buffer-window (current-buffer))))
1273 (let ((height (- (window-height win) 2)))
1274 (set-window-point win (point))
1275 (or (= height calc-window-height)
1276 (let ((swin (selected-window)))
1278 (enlarge-window (- calc-window-height height))
1279 (select-window swin)))))))
1280 (message "(Calculator reset)"))
1282 ;; What a pain; scroll-left behaves differently when called non-interactively.
1283 (defun calc-scroll-left (n)
1285 (setq prefix-arg (or n (/ (window-width) 2)))
1286 (call-interactively #'scroll-left))
1288 (defun calc-scroll-right (n)
1290 (setq prefix-arg (or n (/ (window-width) 2)))
1291 (call-interactively #'scroll-right))
1293 (defun calc-scroll-up (n)
1296 (scroll-up (or n (/ (window-height) 2)))
1298 (if (pos-visible-in-window-p (max 1 (- (point-max) 2)))
1299 (if (eq major-mode 'calc-mode)
1301 (goto-char (point-max))
1302 (set-window-start (selected-window)
1304 (forward-line (- (1- (window-height))))
1306 (forward-line -1))))
1308 (defun calc-scroll-down (n)
1310 (or (pos-visible-in-window-p 1)
1311 (scroll-down (or n (/ (window-height) 2)))))
1314 (defun calc-precision (n)
1315 (interactive "NPrecision: ")
1317 (if (< (prefix-numeric-value n) 3)
1318 (error "Precision must be at least 3 digits")
1319 (calc-change-mode 'calc-internal-prec (prefix-numeric-value n)
1320 (and (memq (car calc-float-format) '(float sci eng))
1321 (< (nth 1 calc-float-format)
1322 (if (= calc-number-radix 10) 0 1))))
1323 (calc-record calc-internal-prec "prec"))
1324 (message "Floating-point precision is %d digits" calc-internal-prec)))
1327 (defun calc-inverse (&optional n)
1329 (calc-fancy-prefix 'calc-inverse-flag "Inverse..." n))
1331 (defconst calc-fancy-prefix-map
1332 (let ((map (make-sparse-keymap)))
1333 (define-key map [t] 'calc-fancy-prefix-other-key)
1334 (define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key)
1335 (define-key map [switch-frame] nil)
1336 (define-key map [?\C-u] 'universal-argument)
1337 (define-key map [?0] 'digit-argument)
1338 (define-key map [?1] 'digit-argument)
1339 (define-key map [?2] 'digit-argument)
1340 (define-key map [?3] 'digit-argument)
1341 (define-key map [?4] 'digit-argument)
1342 (define-key map [?5] 'digit-argument)
1343 (define-key map [?6] 'digit-argument)
1344 (define-key map [?7] 'digit-argument)
1345 (define-key map [?8] 'digit-argument)
1346 (define-key map [?9] 'digit-argument)
1348 "Keymap used while processing calc-fancy-prefix.")
1350 (defvar calc-is-keypad-press nil)
1351 (defun calc-fancy-prefix (flag msg n)
1354 (calc-set-command-flag 'keep-flags)
1355 (calc-set-command-flag 'no-align)
1356 (setq prefix (set flag (not (symbol-value flag)))
1358 (message (if prefix msg "")))
1360 (not calc-is-keypad-press)
1361 (if (boundp 'overriding-terminal-local-map)
1362 (setq overriding-terminal-local-map calc-fancy-prefix-map)
1363 (let ((event (calc-read-key t)))
1364 (if (eq (setq last-command-char (car event)) ?\C-u)
1365 (universal-argument)
1366 (if (or (not (integerp last-command-char))
1367 (and (>= last-command-char 0) (< last-command-char ? )
1368 (not (memq last-command-char '(?\e)))))
1369 (calc-wrapper)) ; clear flags if not a Calc command.
1370 (setq last-command-event (cdr event))
1371 (if (or (not (integerp last-command-char))
1372 (eq last-command-char ?-))
1373 (calc-unread-command)
1374 (digit-argument n))))))))
1376 (defun calc-fancy-prefix-other-key (arg)
1378 (if (or (not (integerp last-command-char))
1379 (and (>= last-command-char 0) (< last-command-char ? )
1380 (not (eq last-command-char meta-prefix-char))))
1381 (calc-wrapper)) ; clear flags if not a Calc command.
1382 (calc-unread-command)
1383 (setq overriding-terminal-local-map nil))
1385 (defun calc-invert-func ()
1387 (calc-select-buffer)
1388 (setq calc-inverse-flag (not (calc-is-inverse))
1389 calc-hyperbolic-flag (calc-is-hyperbolic)
1390 current-prefix-arg nil)))
1392 (defun calc-is-inverse ()
1395 (defun calc-hyperbolic (&optional n)
1397 (calc-fancy-prefix 'calc-hyperbolic-flag "Hyperbolic..." n))
1399 (defun calc-hyperbolic-func ()
1401 (calc-select-buffer)
1402 (setq calc-inverse-flag (calc-is-inverse)
1403 calc-hyperbolic-flag (not (calc-is-hyperbolic))
1404 current-prefix-arg nil)))
1406 (defun calc-is-hyperbolic ()
1407 calc-hyperbolic-flag)
1409 (defun calc-keep-args (&optional n)
1411 (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
1414 (defun calc-change-mode (var value &optional refresh option)
1416 (setq value (if value
1417 (> (prefix-numeric-value value) 0)
1418 (not (symbol-value var)))))
1419 (or (consp var) (setq var (list var) value (list value)))
1420 (if calc-inverse-flag
1422 (or refresh (error "Not a display-mode command"))
1423 (calc-check-stack 1)
1427 (setq old (cons (symbol-value (car v)) old))
1428 (set (car v) (car value))
1431 (calc-refresh-top 1)
1432 (calc-refresh-evaltos)
1433 (symbol-value (car var)))
1435 (setq old (nreverse old))
1437 (set (car v) (car old))
1440 (if (eq (car var) 'calc-language)
1441 (calc-set-language calc-language calc-language-option t)))))
1445 (or (equal (symbol-value (car v)) (car value))
1447 (set (car v) (car value))
1448 (if (eq (car v) 'calc-float-format)
1449 (setq calc-full-float-format
1450 (list (if (eq (car (car value)) 'fix)
1459 (or (and refresh (calc-do-refresh))
1460 (calc-refresh-evaltos))
1461 (and (eq calc-mode-save-mode 'save)
1462 (not (equal var '(calc-mode-save-mode)))
1463 (calc-save-modes))))
1464 (if calc-embedded-info (calc-embedded-modes-change var))
1465 (symbol-value (car var)))))
1467 (defun calc-toggle-banner ()
1468 "Toggle display of the friendly greeting calc normally shows above the stack."
1470 (setq calc-show-banner (not calc-show-banner))
1473 (defun calc-refresh-top (n)
1478 (let ((entry (calc-top n 'entry))
1479 (calc-undo-list nil) (calc-redo-list nil))
1480 (calc-pop-stack 1 n t)
1481 (calc-push-list (list (car entry)) n (list (nth 2 entry)))))
1485 (let ((entries (calc-top-list n 1 'entry))
1486 (calc-undo-list nil) (calc-redo-list nil))
1487 (calc-pop-stack n 1 t)
1488 (calc-push-list (mapcar 'car entries)
1490 (mapcar (function (lambda (x) (nth 2 x)))
1493 (defvar calc-refreshing-evaltos nil)
1494 (defvar calc-no-refresh-evaltos nil)
1495 (defun calc-refresh-evaltos (&optional which-var)
1496 (and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos)
1497 (let ((calc-refreshing-evaltos t)
1498 (num (calc-stack-size))
1499 (calc-undo-list nil) (calc-redo-list nil)
1502 (setq value (calc-top num 'entry))
1503 (if (and (not (nth 2 value))
1504 (setq value (car value))
1505 (or (eq (car-safe value) 'calcFunc-evalto)
1506 (and (eq (car-safe value) 'vec)
1507 (eq (car-safe (nth 1 value)) 'calcFunc-evalto))))
1509 (setq new-val (math-normalize value))
1510 (or (equal new-val value)
1512 (calc-push-list (list new-val) num)
1513 (calc-pop-stack 1 (1+ num) t)))))
1514 (setq num (1- num)))))
1515 (and calc-embedded-active which-var
1516 (calc-embedded-var-change which-var)))
1518 (defun calc-push (&rest vals)
1519 (calc-push-list vals))
1521 (defun calc-pop-push (n &rest vals)
1522 (calc-pop-push-list n vals))
1524 (defun calc-pop-push-record (n prefix &rest vals)
1525 (calc-pop-push-record-list n prefix vals))
1528 (defun calc-evaluate (n)
1532 (setq n (calc-stack-size)))
1533 (calc-with-default-simplification
1535 (calc-pop-push-record-list 1 "eval"
1536 (math-evaluate-expr (calc-top (- n)))
1538 (calc-pop-push-record-list n "eval" (mapcar 'math-evaluate-expr
1539 (calc-top-list n)))))
1540 (calc-handle-whys)))
1543 (defun calc-eval-num (n)
1546 (let* ((nn (prefix-numeric-value n))
1547 (calc-internal-prec (cond ((>= nn 3) nn)
1548 ((< nn 0) (max (+ calc-internal-prec nn)
1550 (t calc-internal-prec)))
1551 (calc-symbolic-mode nil))
1552 (calc-with-default-simplification
1553 (calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1)))))
1554 (calc-handle-whys)))
1557 (defun calc-execute-extended-command (n)
1559 (let* ((prompt (concat (calc-num-prefix-name n) "M-x "))
1560 (cmd (intern (completing-read prompt obarray 'commandp t "calc-"))))
1562 (command-execute cmd)))
1565 (defun calc-realign (&optional num)
1567 (if (and num (eq major-mode 'calc-mode))
1569 (calc-check-stack num)
1570 (calc-cursor-stack-index num)
1571 (and calc-line-numbering
1573 (if (and calc-embedded-info
1574 (eq (current-buffer) (aref calc-embedded-info 0)))
1576 (goto-char (aref calc-embedded-info 2))
1577 (if (save-excursion (set-buffer (aref calc-embedded-info 1))
1581 (if (get-buffer-window (current-buffer))
1582 (set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
1584 (defvar math-cache-list nil)
1586 (defun calc-var-value (v)
1590 (if (symbolp (symbol-value v))
1591 (set v (funcall (symbol-value v)))
1592 (if (stringp (symbol-value v))
1593 (let ((val (math-read-expr (symbol-value v))))
1594 (if (eq (car-safe val) 'error)
1595 (error "Bad format in variable contents: %s" (nth 2 val))
1597 (symbol-value v)))))
1599 ;;; In the following table, ( OP LOPS ROPS ) means that if an OP
1600 ;;; term appears as the first argument to any LOPS term, or as the
1601 ;;; second argument to any ROPS term, then they should be treated
1602 ;;; as one large term for purposes of associative selection.
1603 (defconst calc-assoc-ops '( ( + ( + - ) ( + ) )
1608 ( calcFunc-land ( calcFunc-land )
1610 ( calcFunc-lor ( calcFunc-lor )
1611 ( calcFunc-lor ) ) ))
1614 (defvar var-CommuteRules 'calc-CommuteRules)
1615 (defvar var-JumpRules 'calc-JumpRules)
1616 (defvar var-DistribRules 'calc-DistribRules)
1617 (defvar var-MergeRules 'calc-MergeRules)
1618 (defvar var-NegateRules 'calc-NegateRules)
1619 (defvar var-InvertRules 'calc-InvertRules)
1622 (defconst calc-tweak-eqn-table '( ( calcFunc-eq calcFunc-eq calcFunc-neq )
1623 ( calcFunc-neq calcFunc-neq calcFunc-eq )
1624 ( calcFunc-lt calcFunc-gt calcFunc-geq )
1625 ( calcFunc-gt calcFunc-lt calcFunc-leq )
1626 ( calcFunc-leq calcFunc-geq calcFunc-gt )
1627 ( calcFunc-geq calcFunc-leq calcFunc-lt ) ))
1632 (defun calc-float (arg)
1635 (calc-unary-op "flt"
1636 (if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat)
1640 (defvar calc-gnuplot-process nil)
1641 (defvar calc-gnuplot-input)
1642 (defvar calc-gnuplot-buffer)
1644 (defun calc-gnuplot-alive ()
1645 (and calc-gnuplot-process
1647 (buffer-name calc-gnuplot-buffer)
1649 (buffer-name calc-gnuplot-input)
1650 (memq (process-status calc-gnuplot-process) '(run stop))))
1656 (defun calc-load-everything ()
1658 (require 'calc-macs) ; calc-macs.el
1659 (calc-record-list nil) ; calc-misc.el
1660 (math-read-exprs "0") ; calc-aent.el
1663 (calc-Need-calc-alg-2)
1664 (calc-Need-calc-alg-3)
1665 (calc-Need-calc-alg)
1666 (calc-Need-calc-arith)
1667 (calc-Need-calc-bin)
1668 (calc-Need-calc-comb)
1669 (calc-Need-calc-comp)
1670 (calc-Need-calc-cplx)
1671 (calc-Need-calc-embed)
1672 (calc-Need-calc-fin)
1673 (calc-Need-calc-forms)
1674 (calc-Need-calc-frac)
1675 (calc-Need-calc-funcs)
1676 (calc-Need-calc-graph)
1677 (calc-Need-calc-help)
1678 (calc-Need-calc-incom)
1679 (calc-Need-calc-keypd)
1680 (calc-Need-calc-lang)
1681 (calc-Need-calc-map)
1682 (calc-Need-calc-mat)
1683 (calc-Need-calc-math)
1684 (calc-Need-calc-mode)
1685 (calc-Need-calc-poly)
1686 (calc-Need-calc-prog)
1687 (calc-Need-calc-rewr)
1688 (calc-Need-calc-rules)
1689 (calc-Need-calc-sel-2)
1690 (calc-Need-calc-sel)
1691 (calc-Need-calc-stat)
1692 (calc-Need-calc-store)
1693 (calc-Need-calc-stuff)
1694 (calc-Need-calc-trail)
1695 (calc-Need-calc-undo)
1696 (calc-Need-calc-units)
1697 (calc-Need-calc-vec)
1698 (calc-Need-calc-yank)
1700 (message "All parts of Calc are now loaded"))
1703 ;;; Vector commands.
1705 (defun calc-concat (arg)
1708 (if (calc-is-inverse)
1709 (if (calc-is-hyperbolic)
1710 (calc-enter-result 2 "apnd" (list 'calcFunc-append
1711 (calc-top 1) (calc-top 2)))
1712 (calc-enter-result 2 "|" (list 'calcFunc-vconcat
1713 (calc-top 1) (calc-top 2))))
1714 (if (calc-is-hyperbolic)
1715 (calc-binary-op "apnd" 'calcFunc-append arg '(vec))
1716 (calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|)))))
1718 (defun calc-append (arg)
1720 (calc-hyperbolic-func)
1724 (defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB )
1725 ( var ArgC var-ArgC ) ( var ArgD var-ArgD )
1726 ( var ArgE var-ArgE ) ( var ArgF var-ArgF )
1727 ( var ArgG var-ArgG ) ( var ArgH var-ArgH )
1728 ( var ArgI var-ArgI ) ( var ArgJ var-ArgJ )
1731 (defun calc-invent-args (n)
1732 (nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values))))
1739 (defun calc-user-key-map ()
1740 (if calc-emacs-type-lucid
1741 (error "User-defined keys are not supported in Lucid Emacs"))
1742 (let ((res (cdr (lookup-key calc-mode-map "z"))))
1743 (if (eq (car (car res)) 27)
1747 (defvar calc-z-prefix-buf nil)
1748 (defvar calc-z-prefix-msgs nil)
1750 (defun calc-z-prefix-help ()
1752 (let* ((calc-z-prefix-msgs nil)
1753 (calc-z-prefix-buf "")
1754 (kmap (sort (copy-sequence (calc-user-key-map))
1755 (function (lambda (x y) (< (car x) (car y))))))
1756 (flags (apply 'logior
1759 (calc-user-function-classify (car k))))
1761 (if (= (logand flags 8) 0)
1762 (calc-user-function-list kmap 7)
1763 (calc-user-function-list kmap 1)
1764 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)
1765 calc-z-prefix-buf "")
1766 (calc-user-function-list kmap 6))
1768 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)))
1769 (calc-do-prefix-help (nreverse calc-z-prefix-msgs) "user" ?z)))
1771 (defun calc-user-function-classify (key)
1772 (cond ((/= key (downcase key)) ; upper-case
1773 (if (assq (downcase key) (calc-user-key-map)) 9 1))
1774 ((/= key (upcase key)) 2) ; lower-case
1778 (defun calc-user-function-list (map flags)
1780 (let* ((key (car (car map)))
1781 (kind (calc-user-function-classify key))
1782 (func (cdr (car map))))
1783 (if (or (= (logand kind flags) 0)
1784 (not (symbolp func)))
1786 (let* ((name (symbol-name func))
1787 (name (if (string-match "\\`calc-" name)
1788 (substring name 5) name))
1789 (pos (string-match (char-to-string key) name))
1792 (if (= (logand kind 3) 0)
1793 (format "`%c' = %s" key name)
1796 (downcase (substring name 0 pos))
1798 (downcase (substring name (1+ pos))))
1802 (char-to-string (upcase key)))))
1803 (if (= (length calc-z-prefix-buf) 0)
1804 (setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1806 (if (> (+ (length calc-z-prefix-buf) (length desc)) 58)
1807 (setq calc-z-prefix-msgs
1808 (cons calc-z-prefix-buf calc-z-prefix-msgs)
1809 calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1811 (setq calc-z-prefix-buf (concat calc-z-prefix-buf ", " desc))))))
1812 (calc-user-function-list (cdr map) flags))))
1816 (defun calc-shift-Z-prefix-help ()
1818 (calc-do-prefix-help
1819 '("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn"
1820 "Composition, Syntax; Invocation; Permanent; Timing"
1821 "kbd-macros: [ (if), : (else), | (else-if), ] (end-if)"
1822 "kbd-macros: < > (repeat), ( ) (for), { } (loop)"
1823 "kbd-macros: / (break)"
1824 "kbd-macros: ` (save), ' (restore)")
1830 (defmacro math-defcache (name init form)
1831 (let ((cache-prec (intern (concat (symbol-name name) "-cache-prec")))
1832 (cache-val (intern (concat (symbol-name name) "-cache")))
1833 (last-prec (intern (concat (symbol-name name) "-last-prec")))
1834 (last-val (intern (concat (symbol-name name) "-last"))))
1836 (list 'defvar cache-prec (if init (math-numdigs (nth 1 init)) -100))
1837 (list 'defvar cache-val (list 'quote init))
1838 (list 'defvar last-prec -100)
1839 (list 'defvar last-val nil)
1840 (list 'setq 'math-cache-list
1842 (list 'quote cache-prec)
1844 (list 'quote last-prec)
1849 (list '= last-prec 'calc-internal-prec)
1852 (list 'math-normalize
1855 (list '>= cache-prec
1856 'calc-internal-prec)
1860 '((calc-internal-prec
1861 (+ calc-internal-prec
1865 '(+ calc-internal-prec 2)))
1867 last-prec 'calc-internal-prec))
1869 (put 'math-defcache 'lisp-indent-hook 2)
1871 ;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public]
1872 (math-defcache math-pi (float (bigpos 463 238 793 589 653 592 141 3) -21)
1873 (math-add-float (math-mul-float '(float 16 0)
1874 (math-arctan-raw '(float 2 -1)))
1875 (math-mul-float '(float -4 0)
1877 (math-float '(frac 1 239))))))
1879 (math-defcache math-two-pi nil
1880 (math-mul-float (math-pi) '(float 2 0)))
1882 (math-defcache math-pi-over-2 nil
1883 (math-mul-float (math-pi) '(float 5 -1)))
1885 (math-defcache math-pi-over-4 nil
1886 (math-mul-float (math-pi) '(float 25 -2)))
1888 (math-defcache math-pi-over-180 nil
1889 (math-div-float (math-pi) '(float 18 1)))
1891 (math-defcache math-sqrt-pi nil
1892 (math-sqrt-float (math-pi)))
1894 (math-defcache math-sqrt-2 nil
1895 (math-sqrt-float '(float 2 0)))
1897 (math-defcache math-sqrt-12 nil
1898 (math-sqrt-float '(float 12 0)))
1900 (math-defcache math-sqrt-two-pi nil
1901 (math-sqrt-float (math-two-pi)))
1903 (math-defcache math-sqrt-e (float (bigpos 849 146 128 700 270 721 648 1) -21)
1904 (math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
1906 (math-defcache math-e nil
1907 (math-pow (math-sqrt-e) 2))
1909 (math-defcache math-phi nil
1910 (math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
1913 (math-defcache math-gamma-const nil
1914 '(float (bigpos 495 467 917 632 470 369 709 646 776 267 677 848 348 672
1915 057 988 235 399 359 593 421 310 024 824 900 120 065 606
1916 328 015 649 156 772 5) -100))
1918 (defun math-half-circle (symb)
1919 (if (eq calc-angle-mode 'rad)
1925 (defun math-full-circle (symb)
1926 (math-mul 2 (math-half-circle symb)))
1928 (defun math-quarter-circle (symb)
1929 (math-div (math-half-circle symb) 2))
1931 (defvar math-expand-formulas nil)
1933 ;;;; Miscellaneous math routines.
1935 ;;; True if A is an odd integer. [P R R] [Public]
1936 (defun math-oddp (a)
1938 (and (memq (car a) '(bigpos bigneg))
1939 (= (% (nth 1 a) 2) 1))
1942 ;;; True if A is a small or big integer. [P x] [Public]
1943 (defun math-integerp (a)
1945 (memq (car-safe a) '(bigpos bigneg))))
1947 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
1948 (defun math-natnump (a)
1950 (eq (car-safe a) 'bigpos)))
1952 ;;; True if A is a rational (or integer). [P x] [Public]
1953 (defun math-ratp (a)
1955 (memq (car-safe a) '(bigpos bigneg frac))))
1957 ;;; True if A is a real (or rational). [P x] [Public]
1958 (defun math-realp (a)
1960 (memq (car-safe a) '(bigpos bigneg frac float))))
1962 ;;; True if A is a real or HMS form. [P x] [Public]
1963 (defun math-anglep (a)
1965 (memq (car-safe a) '(bigpos bigneg frac float hms))))
1967 ;;; True if A is a number of any kind. [P x] [Public]
1968 (defun math-numberp (a)
1970 (memq (car-safe a) '(bigpos bigneg frac float cplx polar))))
1972 ;;; True if A is a complex number or angle. [P x] [Public]
1973 (defun math-scalarp (a)
1975 (memq (car-safe a) '(bigpos bigneg frac float cplx polar hms))))
1977 ;;; True if A is a vector. [P x] [Public]
1978 (defun math-vectorp (a)
1979 (eq (car-safe a) 'vec))
1981 ;;; True if A is any vector or scalar data object. [P x]
1982 (defun math-objvecp (a) ; [Public]
1984 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
1985 hms date sdev intv mod vec incomplete))))
1987 ;;; True if A is an object not composed of sub-formulas . [P x] [Public]
1988 (defun math-primp (a)
1990 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
1991 hms date mod var))))
1993 ;;; True if A is numerically (but not literally) an integer. [P x] [Public]
1994 (defun math-messy-integerp (a)
1996 ((eq (car-safe a) 'float) (>= (nth 2 a) 0))
1997 ((eq (car-safe a) 'frac) (Math-integerp (math-normalize a)))))
1999 ;;; True if A is numerically an integer. [P x] [Public]
2000 (defun math-num-integerp (a)
2001 (or (Math-integerp a)
2002 (Math-messy-integerp a)))
2004 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2005 (defun math-num-natnump (a)
2007 (eq (car-safe a) 'bigpos)
2008 (and (eq (car-safe a) 'float)
2009 (Math-natnump (nth 1 a))
2012 ;;; True if A is an integer or will evaluate to an integer. [P x] [Public]
2013 (defun math-provably-integerp (a)
2014 (or (Math-integerp a)
2015 (and (memq (car-safe a) '(calcFunc-trunc
2023 ;;; True if A is a real or will evaluate to a real. [P x] [Public]
2024 (defun math-provably-realp (a)
2026 (math-provably-integer a)
2027 (memq (car-safe a) '(abs arg))))
2029 ;;; True if A is a non-real, complex number. [P x] [Public]
2030 (defun math-complexp (a)
2031 (memq (car-safe a) '(cplx polar)))
2033 ;;; True if A is a non-real, rectangular complex number. [P x] [Public]
2034 (defun math-rect-complexp (a)
2035 (eq (car-safe a) 'cplx))
2037 ;;; True if A is a non-real, polar complex number. [P x] [Public]
2038 (defun math-polar-complexp (a)
2039 (eq (car-safe a) 'polar))
2041 ;;; True if A is a matrix. [P x] [Public]
2042 (defun math-matrixp (a)
2043 (and (Math-vectorp a)
2044 (Math-vectorp (nth 1 a))
2046 (let ((len (length (nth 1 a))))
2048 (while (and (setq a (cdr a))
2049 (Math-vectorp (car a))
2050 (= (length (car a)) len)))
2053 (defun math-matrixp-step (a len) ; [P L]
2055 (and (Math-vectorp (car a))
2056 (= (length (car a)) len)
2057 (math-matrixp-step (cdr a) len))))
2059 ;;; True if A is a square matrix. [P V] [Public]
2060 (defun math-square-matrixp (a)
2061 (let ((dims (math-mat-dimens a)))
2063 (= (car dims) (nth 1 dims)))))
2065 ;;; True if A is any scalar data object. [P x]
2066 (defun math-objectp (a) ; [Public]
2068 (memq (car-safe a) '(bigpos bigneg frac float cplx
2069 polar hms date sdev intv mod))))
2071 ;;; Verify that A is an integer and return A in integer form. [I N; - x]
2072 (defun math-check-integer (a) ; [Public]
2073 (cond ((integerp a) a) ; for speed
2074 ((math-integerp a) a)
2075 ((math-messy-integerp a)
2077 (t (math-reject-arg a 'integerp))))
2079 ;;; Verify that A is a small integer and return A in integer form. [S N; - x]
2080 (defun math-check-fixnum (a &optional allow-inf) ; [Public]
2081 (cond ((integerp a) a) ; for speed
2082 ((Math-num-integerp a)
2083 (let ((a (math-trunc a)))
2086 (if (or (Math-lessp (lsh -1 -1) a)
2087 (Math-lessp a (- (lsh -1 -1))))
2088 (math-reject-arg a 'fixnump)
2090 ((and allow-inf (equal a '(var inf var-inf)))
2092 ((and allow-inf (equal a '(neg (var inf var-inf))))
2094 (t (math-reject-arg a 'fixnump))))
2096 ;;; Verify that A is an integer >= 0 and return A in integer form. [I N; - x]
2097 (defun math-check-natnum (a) ; [Public]
2098 (cond ((natnump a) a)
2099 ((and (not (math-negp a))
2100 (Math-num-integerp a))
2102 (t (math-reject-arg a 'natnump))))
2104 ;;; Verify that A is in floating-point form, or force it to be a float. [F N]
2105 (defun math-check-float (a) ; [Public]
2106 (cond ((eq (car-safe a) 'float) a)
2107 ((Math-vectorp a) (math-map-vec 'math-check-float a))
2108 ((Math-objectp a) (math-float a))
2111 ;;; Verify that A is a constant.
2112 (defun math-check-const (a &optional exp-ok)
2113 (if (or (math-constp a)
2114 (and exp-ok math-expand-formulas))
2116 (math-reject-arg a 'constp)))
2119 ;;; Coerce integer A to be a small integer. [S I]
2120 (defun math-fixnum (a)
2123 (if (eq (car a) 'bigneg)
2124 (- (math-fixnum-big (cdr a)))
2125 (math-fixnum-big (cdr a)))
2129 (defun math-fixnum-big (a)
2131 (+ (car a) (* (math-fixnum-big (cdr a)) 1000))
2134 (defvar math-simplify-only nil)
2136 (defun math-normalize-fancy (a)
2137 (cond ((eq (car a) 'frac)
2138 (math-make-frac (math-normalize (nth 1 a))
2139 (math-normalize (nth 2 a))))
2141 (let ((real (math-normalize (nth 1 a)))
2142 (imag (math-normalize (nth 2 a))))
2143 (if (and (math-zerop imag)
2144 (not math-simplify-only)) ; oh, what a kludge!
2146 (list 'cplx real imag))))
2147 ((eq (car a) 'polar)
2148 (math-normalize-polar a))
2150 (math-normalize-hms a))
2152 (list 'date (math-normalize (nth 1 a))))
2154 (math-normalize-mod a))
2156 (let ((x (math-normalize (nth 1 a)))
2157 (s (math-normalize (nth 2 a))))
2158 (if (or (and (Math-objectp x) (not (Math-scalarp x)))
2159 (and (Math-objectp s) (not (Math-scalarp s))))
2160 (list 'calcFunc-sdev x s)
2161 (math-make-sdev x s))))
2163 (let ((mask (math-normalize (nth 1 a)))
2164 (lo (math-normalize (nth 2 a)))
2165 (hi (math-normalize (nth 3 a))))
2166 (if (if (eq (car-safe lo) 'date)
2167 (not (eq (car-safe hi) 'date))
2168 (or (and (Math-objectp lo) (not (Math-anglep lo)))
2169 (and (Math-objectp hi) (not (Math-anglep hi)))))
2170 (list 'calcFunc-intv mask lo hi)
2171 (math-make-intv mask lo hi))))
2173 (cons 'vec (mapcar 'math-normalize (cdr a))))
2174 ((eq (car a) 'quote)
2175 (math-normalize (nth 1 a)))
2176 ((eq (car a) 'special-const)
2177 (calc-with-default-simplification
2178 (math-normalize (nth 1 a))))
2180 (cons 'var (cdr a))) ; need to re-cons for selection routines
2181 ((eq (car a) 'calcFunc-if)
2182 (math-normalize-logical-op a))
2183 ((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition))
2184 (let ((calc-simplify-mode 'none))
2185 (cons (car a) (mapcar 'math-normalize (cdr a)))))
2186 ((eq (car a) 'calcFunc-evalto)
2187 (setq a (or (nth 1 a) 0))
2188 (or calc-refreshing-evaltos
2189 (setq a (let ((calc-simplify-mode 'none)) (math-normalize a))))
2190 (let ((b (if (and (eq (car-safe a) 'calcFunc-assign)
2194 (list 'calcFunc-evalto
2196 (if (eq calc-simplify-mode 'none)
2198 (calc-with-default-simplification
2199 (math-evaluate-expr b))))))
2200 ((or (integerp (car a)) (consp (car a)))
2202 (math-normalize (car a))
2203 (error "Can't use multi-valued function in an expression")))))
2205 ;; The variable math-normalize-a is local to math-normalize in calc.el,
2206 ;; but is used by math-normalize-nonstandard, which is called by
2208 (defvar math-normalize-a)
2210 (defun math-normalize-nonstandard ()
2211 (if (consp calc-simplify-mode)
2213 (setq calc-simplify-mode 'none
2214 math-simplify-only (car-safe (cdr-safe math-normalize-a)))
2216 (and (symbolp (car math-normalize-a))
2217 (or (eq calc-simplify-mode 'none)
2218 (and (eq calc-simplify-mode 'num)
2219 (let ((aptr (setq math-normalize-a
2221 (car math-normalize-a)
2222 (mapcar 'math-normalize
2223 (cdr math-normalize-a))))))
2224 (while (and aptr (math-constp (car aptr)))
2225 (setq aptr (cdr aptr)))
2227 (cons (car math-normalize-a)
2228 (mapcar 'math-normalize (cdr math-normalize-a))))))
2231 ;;; Normalize a bignum digit list by trimming high-end zeros. [L l]
2232 (defun math-norm-bignum (a)
2233 (let ((digs a) (last nil))
2235 (or (eq (car digs) 0) (setq last digs))
2236 (setq digs (cdr digs)))
2242 (defun math-bignum-test (a) ; [B N; B s; b b]
2248 ;;; Return 0 for zero, -1 for negative, 1 for positive. [S n] [Public]
2249 (defun calcFunc-sign (a &optional x)
2250 (let ((signs (math-possible-signs a)))
2251 (cond ((eq signs 4) (or x 1))
2253 ((eq signs 1) (if x (math-neg x) -1))
2254 ((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a))))
2255 (t (calc-record-why 'realp a)
2257 (list 'calcFunc-sign a x)
2258 (list 'calcFunc-sign a))))))
2260 ;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more.
2261 ;;; Arguments must be normalized! [S N N]
2262 (defun math-compare (a b)
2265 (memq (car a) '(var neg * /))
2269 ((and (integerp a) (Math-integerp b))
2271 (if (eq (car b) 'bigpos) -1 1)
2273 ((and (eq (car-safe a) 'bigpos) (Math-integerp b))
2274 (if (eq (car-safe b) 'bigpos)
2275 (math-compare-bignum (cdr a) (cdr b))
2277 ((and (eq (car-safe a) 'bigneg) (Math-integerp b))
2278 (if (eq (car-safe b) 'bigneg)
2279 (math-compare-bignum (cdr b) (cdr a))
2281 ((eq (car-safe a) 'frac)
2282 (if (eq (car-safe b) 'frac)
2283 (math-compare (math-mul (nth 1 a) (nth 2 b))
2284 (math-mul (nth 1 b) (nth 2 a)))
2285 (math-compare (nth 1 a) (math-mul b (nth 2 a)))))
2286 ((eq (car-safe b) 'frac)
2287 (math-compare (math-mul a (nth 2 b)) (nth 1 b)))
2288 ((and (eq (car-safe a) 'float) (eq (car-safe b) 'float))
2289 (if (math-lessp-float a b) -1 1))
2290 ((and (eq (car-safe a) 'date) (eq (car-safe b) 'date))
2291 (math-compare (nth 1 a) (nth 1 b)))
2292 ((and (or (Math-anglep a)
2293 (and (eq (car a) 'cplx) (eq (nth 2 a) 0)))
2295 (and (eq (car b) 'cplx) (eq (nth 2 b) 0))))
2296 (calcFunc-sign (math-add a (math-neg b))))
2297 ((and (eq (car-safe a) 'intv)
2298 (or (Math-anglep b) (eq (car-safe b) 'date)))
2299 (let ((res (math-compare (nth 2 a) b)))
2300 (cond ((eq res 1) 1)
2301 ((and (eq res 0) (memq (nth 1 a) '(0 1))) 1)
2302 ((eq (setq res (math-compare (nth 3 a) b)) -1) -1)
2303 ((and (eq res 0) (memq (nth 1 a) '(0 2))) -1)
2305 ((and (eq (car-safe b) 'intv)
2306 (or (Math-anglep a) (eq (car-safe a) 'date)))
2307 (let ((res (math-compare a (nth 2 b))))
2308 (cond ((eq res -1) -1)
2309 ((and (eq res 0) (memq (nth 1 b) '(0 1))) -1)
2310 ((eq (setq res (math-compare a (nth 3 b))) 1) 1)
2311 ((and (eq res 0) (memq (nth 1 b) '(0 2))) 1)
2313 ((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv))
2314 (let ((res (math-compare (nth 3 a) (nth 2 b))))
2315 (cond ((eq res -1) -1)
2316 ((and (eq res 0) (or (memq (nth 1 a) '(0 2))
2317 (memq (nth 1 b) '(0 1)))) -1)
2318 ((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1)
2319 ((and (eq res 0) (or (memq (nth 1 a) '(0 1))
2320 (memq (nth 1 b) '(0 2)))) 1)
2323 (if (or (equal a '(var uinf var-uinf))
2324 (equal a '(var nan var-nan)))
2326 (let ((dira (math-infinite-dir a)))
2327 (if (math-infinitep b)
2328 (if (or (equal b '(var uinf var-uinf))
2329 (equal b '(var nan var-nan)))
2331 (let ((dirb (math-infinite-dir b)))
2332 (cond ((and (eq dira 1) (eq dirb -1)) 1)
2333 ((and (eq dira -1) (eq dirb 1)) -1)
2335 (cond ((eq dira 1) 1)
2339 (if (or (equal b '(var uinf var-uinf))
2340 (equal b '(var nan var-nan)))
2342 (let ((dirb (math-infinite-dir b)))
2343 (cond ((eq dirb 1) -1)
2346 ((and (eq (car-safe a) 'calcFunc-exp)
2347 (eq (car-safe b) '^)
2348 (equal (nth 1 b) '(var e var-e)))
2349 (math-compare (nth 1 a) (nth 2 b)))
2350 ((and (eq (car-safe b) 'calcFunc-exp)
2351 (eq (car-safe a) '^)
2352 (equal (nth 1 a) '(var e var-e)))
2353 (math-compare (nth 2 a) (nth 1 b)))
2354 ((or (and (eq (car-safe a) 'calcFunc-sqrt)
2355 (eq (car-safe b) '^)
2356 (or (equal (nth 2 b) '(frac 1 2))
2357 (equal (nth 2 b) '(float 5 -1))))
2358 (and (eq (car-safe b) 'calcFunc-sqrt)
2359 (eq (car-safe a) '^)
2360 (or (equal (nth 2 a) '(frac 1 2))
2361 (equal (nth 2 a) '(float 5 -1)))))
2362 (math-compare (nth 1 a) (nth 1 b)))
2363 ((eq (car-safe a) 'var)
2366 (if (and (consp a) (consp b)
2367 (eq (car a) (car b))
2368 (math-compare-lists (cdr a) (cdr b)))
2372 ;;; Compare two bignum digit lists, return -1 for A<B, 0 for A=B, 1 for A>B.
2373 (defun math-compare-bignum (a b) ; [S l l]
2376 (if (< (car a) (car b))
2378 (if (> (car a) (car b))
2384 (while (eq (car a) 0) (setq a (cdr a)))
2386 (while (eq (car b) 0) (setq b (cdr b)))
2389 (defun math-compare-lists (a b)
2390 (cond ((null a) (null b))
2392 (t (and (Math-equal (car a) (car b))
2393 (math-compare-lists (cdr a) (cdr b))))))
2395 (defun math-lessp-float (a b) ; [P F F]
2396 (let ((ediff (- (nth 2 a) (nth 2 b))))
2398 (if (>= ediff (+ calc-internal-prec calc-internal-prec))
2399 (if (eq (nth 1 a) 0)
2400 (Math-integer-posp (nth 1 b))
2401 (Math-integer-negp (nth 1 a)))
2402 (Math-lessp (math-scale-int (nth 1 a) ediff)
2404 (if (>= (setq ediff (- ediff))
2405 (+ calc-internal-prec calc-internal-prec))
2406 (if (eq (nth 1 b) 0)
2407 (Math-integer-negp (nth 1 a))
2408 (Math-integer-posp (nth 1 b)))
2409 (Math-lessp (nth 1 a)
2410 (math-scale-int (nth 1 b) ediff))))))
2412 ;;; True if A is numerically equal to B. [P N N] [Public]
2413 (defun math-equal (a b)
2414 (= (math-compare a b) 0))
2416 ;;; True if A is numerically less than B. [P R R] [Public]
2417 (defun math-lessp (a b)
2418 (= (math-compare a b) -1))
2420 ;;; True if A is numerically equal to the integer B. [P N S] [Public]
2421 ;;; B must not be a multiple of 10.
2422 (defun math-equal-int (a b)
2424 (and (eq (car-safe a) 'float)
2431 ;;; Return the dimensions of a matrix as a list. [l x] [Public]
2432 (defun math-mat-dimens (m)
2433 (if (math-vectorp m)
2434 (if (math-matrixp m)
2435 (cons (1- (length m))
2436 (math-mat-dimens (nth 1 m)))
2437 (list (1- (length m))))
2442 (defun calc-binary-op-fancy (name func arg ident unary)
2443 (let ((n (prefix-numeric-value arg)))
2445 (calc-enter-result n
2447 (list 'calcFunc-reduce
2448 (math-calcFunc-to-var func)
2449 (cons 'vec (calc-top-list-n n)))))
2452 (calc-enter-result 1 name (list unary (calc-top-n 1)))))
2455 (calc-enter-result 0 name ident)
2456 (error "Argument must be nonzero")))
2458 (let ((rhs (calc-top-n 1)))
2459 (calc-enter-result (- 1 n)
2464 (calc-top-list-n (- n) 2))))))))
2466 (defun calc-unary-op-fancy (name func arg)
2467 (let ((n (prefix-numeric-value arg)))
2468 (if (= n 0) (setq n (calc-stack-size)))
2470 (calc-enter-result n
2475 (calc-top-list-n n))))
2477 (calc-enter-result 1
2479 (list func (calc-top-n (- n)))
2482 (defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun)))
2483 (defvar var-Decls (list 'vec))
2486 (defun math-inexact-result ()
2487 (and calc-symbolic-mode
2488 (signal 'inexact-result nil)))
2490 (defun math-overflow (&optional exp)
2491 (if (and exp (math-negp exp))
2493 (signal 'math-overflow nil)))
2495 (defun math-underflow ()
2496 (signal 'math-underflow nil))
2498 ;;; Compute the greatest common divisor of A and B. [I I I] [Public]
2499 (defun math-gcd (a b)
2500 (cond ((not (or (consp a) (consp b)))
2501 (if (< a 0) (setq a (- a)))
2502 (if (< b 0) (setq b (- b)))
2514 (if (Math-integer-negp a) (setq a (math-neg a)))
2515 (if (Math-integer-negp b) (setq b (math-neg b)))
2517 (if (Math-natnum-lessp a b)
2519 (while (and (consp a) (not (eq b 0)))
2532 ;;; Evaluate variables in an expression.
2533 (defun math-evaluate-expr (x) ; [Public]
2534 (if calc-embedded-info
2535 (calc-embedded-evaluate-expr x)
2536 (calc-normalize (math-evaluate-expr-rec x))))
2538 (defalias 'calcFunc-evalv 'math-evaluate-expr)
2540 (defun calcFunc-evalvn (x &optional prec)
2543 (or (math-num-integerp prec)
2544 (if (and (math-vectorp prec)
2546 (math-num-integerp (nth 1 prec)))
2547 (setq prec (math-add (nth 1 prec) calc-internal-prec))
2548 (math-reject-arg prec 'integerp)))
2549 (setq prec (math-trunc prec))
2550 (if (< prec 3) (setq prec 3))
2551 (if (> prec calc-internal-prec)
2553 (let ((calc-internal-prec prec))
2554 (calcFunc-evalvn x)))
2555 (let ((calc-internal-prec prec))
2556 (calcFunc-evalvn x))))
2557 (let ((calc-symbolic-mode nil))
2558 (math-evaluate-expr x))))
2560 (defun math-evaluate-expr-rec (x)
2562 (if (memq (car x) '(calcFunc-quote calcFunc-condition
2563 calcFunc-evalto calcFunc-assign))
2564 (if (and (eq (car x) 'calcFunc-assign)
2566 (list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x)))
2568 (if (eq (car x) 'var)
2569 (if (and (calc-var-value (nth 2 x))
2570 (not (eq (car-safe (symbol-value (nth 2 x)))
2572 (let ((val (symbol-value (nth 2 x))))
2573 (if (eq (car-safe val) 'special-const)
2574 (if calc-symbolic-mode
2581 (cons (car x) (mapcar 'math-evaluate-expr-rec (cdr x))))))
2584 (defmacro math-defsimplify (funcs &rest code)
2585 (append '(progn (math-need-std-simps))
2588 (list 'put (list 'quote func) ''math-simplify
2590 (list 'get (list 'quote func) ''math-simplify)
2593 (append '(lambda (math-simplify-expr))
2595 (if (symbolp funcs) (list funcs) funcs))))
2596 (put 'math-defsimplify 'lisp-indent-hook 1)
2598 (defun math-any-floats (expr)
2599 (if (Math-primp expr)
2601 (while (and (setq expr (cdr expr)) (not (math-any-floats (car expr)))))
2604 (defvar var-FactorRules 'calc-FactorRules)
2606 (defvar math-mt-many nil)
2607 (defvar math-mt-func nil)
2609 (defun math-map-tree (math-mt-func mmt-expr &optional math-mt-many)
2610 (or math-mt-many (setq math-mt-many 1000000))
2611 (math-map-tree-rec mmt-expr))
2613 (defun math-map-tree-rec (mmt-expr)
2614 (or (= math-mt-many 0)
2615 (let ((mmt-done nil)
2617 (while (not mmt-done)
2618 (while (and (/= math-mt-many 0)
2619 (setq mmt-nextval (funcall math-mt-func mmt-expr))
2620 (not (equal mmt-expr mmt-nextval)))
2621 (setq mmt-expr mmt-nextval
2622 math-mt-many (if (> math-mt-many 0)
2624 (1+ math-mt-many))))
2625 (if (or (Math-primp mmt-expr)
2626 (<= math-mt-many 0))
2628 (setq mmt-nextval (cons (car mmt-expr)
2629 (mapcar 'math-map-tree-rec
2631 (if (equal mmt-nextval mmt-expr)
2633 (setq mmt-expr mmt-nextval))))))
2636 (defun math-is-true (expr)
2637 (if (Math-numberp expr)
2638 (not (Math-zerop expr))
2639 (math-known-nonzerop expr)))
2641 (defun math-const-var (expr)
2643 (eq (car expr) 'var)
2644 (or (and (symbolp (nth 2 expr))
2645 (boundp (nth 2 expr))
2646 (eq (car-safe (symbol-value (nth 2 expr))) 'special-const))
2647 (memq (nth 2 expr) '(var-inf var-uinf var-nan)))))
2649 ;; The variable math-integral-cache is originally declared in calcalg2.el,
2650 ;; but is set by math-defintegral and math-definitegral2.
2651 (defvar math-integral-cache)
2653 (defmacro math-defintegral (funcs &rest code)
2654 (setq math-integral-cache nil)
2658 (list 'put (list 'quote func) ''math-integral
2660 (list 'get (list 'quote func) ''math-integral)
2663 (append '(lambda (u))
2665 (if (symbolp funcs) (list funcs) funcs))))
2666 (put 'math-defintegral 'lisp-indent-hook 1)
2668 (defmacro math-defintegral-2 (funcs &rest code)
2669 (setq math-integral-cache nil)
2673 (list 'put (list 'quote func) ''math-integral-2
2675 (list 'get (list 'quote func)
2679 (append '(lambda (u v))
2681 (if (symbolp funcs) (list funcs) funcs))))
2682 (put 'math-defintegral-2 'lisp-indent-hook 1)
2684 (defvar var-IntegAfterRules 'calc-IntegAfterRules)
2686 (defvar var-FitRules 'calc-FitRules)
2688 (defvar math-poly-base-variable nil)
2689 (defvar math-poly-neg-powers nil)
2690 (defvar math-poly-mult-powers 1)
2691 (defvar math-poly-frac-powers nil)
2692 (defvar math-poly-exp-base nil)
2694 (defun math-build-var-name (name)
2696 (setq name (intern name)))
2697 (if (string-match "\\`var-." (symbol-name name))
2698 (list 'var (intern (substring (symbol-name name) 4)) name)
2699 (list 'var name (intern (concat "var-" (symbol-name name))))))
2701 (defvar math-simplifying-units nil)
2702 (defvar math-combining-units t)
2704 ;;; Nontrivial number parsing.
2706 (defun math-read-number-fancy (s)
2709 ;; Integer+fractions
2710 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2711 (let ((int (math-match-substring s 1))
2712 (num (math-match-substring s 2))
2713 (den (math-match-substring s 3)))
2714 (let ((int (if (> (length int) 0) (math-read-number int) 0))
2715 (num (if (> (length num) 0) (math-read-number num) 1))
2716 (den (if (> (length num) 0) (math-read-number den) 1)))
2718 (math-integerp int) (math-integerp num) (math-integerp den)
2719 (not (math-zerop den))
2720 (list 'frac (math-add num (math-mul int den)) den)))))
2723 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2724 (let ((num (math-match-substring s 1))
2725 (den (math-match-substring s 2)))
2726 (let ((num (if (> (length num) 0) (math-read-number num) 1))
2727 (den (if (> (length num) 0) (math-read-number den) 1)))
2728 (and num den (math-integerp num) (math-integerp den)
2729 (not (math-zerop den))
2730 (list 'frac num den)))))
2733 ((string-match "^\\(.*\\) *mod *\\(.*\\)$" s)
2734 (let* ((n (math-match-substring s 1))
2735 (m (math-match-substring s 2))
2736 (n (math-read-number n))
2737 (m (math-read-number m)))
2738 (and n m (math-anglep n) (math-anglep m)
2742 ((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s)
2743 (let* ((x (math-match-substring s 1))
2744 (sigma (math-match-substring s 2))
2745 (x (math-read-number x))
2746 (sigma (math-read-number sigma)))
2747 (and x sigma (math-scalarp x) (math-anglep sigma)
2748 (list 'sdev x sigma))))
2750 ;; Hours (or degrees)
2751 ((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s)
2752 (string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s))
2753 (let* ((hours (math-match-substring s 1))
2754 (minsec (math-match-substring s 2))
2755 (hours (math-read-number hours))
2756 (minsec (if (> (length minsec) 0) (math-read-number minsec) 0)))
2758 (math-num-integerp hours)
2759 (not (math-negp hours)) (not (math-negp minsec))
2760 (cond ((math-num-integerp minsec)
2761 (and (Math-lessp minsec 60)
2762 (list 'hms hours minsec 0)))
2763 ((and (eq (car-safe minsec) 'hms)
2764 (math-zerop (nth 1 minsec)))
2765 (math-add (list 'hms hours 0 0) minsec))
2769 ((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s)
2770 (let* ((minutes (math-match-substring s 1))
2771 (seconds (math-match-substring s 2))
2772 (minutes (math-read-number minutes))
2773 (seconds (if (> (length seconds) 0) (math-read-number seconds) 0)))
2774 (and minutes seconds
2775 (math-num-integerp minutes)
2776 (not (math-negp minutes)) (not (math-negp seconds))
2777 (cond ((math-realp seconds)
2778 (and (Math-lessp minutes 60)
2779 (list 'hms 0 minutes seconds)))
2780 ((and (eq (car-safe seconds) 'hms)
2781 (math-zerop (nth 1 seconds))
2782 (math-zerop (nth 2 seconds)))
2783 (math-add (list 'hms 0 minutes 0) seconds))
2787 ((string-match "^\\([^\"#^]+\\)[sS\"]$" s)
2788 (let ((seconds (math-read-number (math-match-substring s 1))))
2789 (and seconds (math-realp seconds)
2790 (not (math-negp seconds))
2791 (Math-lessp seconds 60)
2792 (list 'hms 0 0 seconds))))
2794 ;; Integer+fraction with explicit radix
2795 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s)
2796 (let ((radix (string-to-int (math-match-substring s 1)))
2797 (int (math-match-substring s 3))
2798 (num (math-match-substring s 4))
2799 (den (math-match-substring s 5)))
2800 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2801 (num (if (> (length num) 0) (math-read-radix num radix) 1))
2802 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2803 (and int num den (not (math-zerop den))
2805 (math-add num (math-mul int den))
2808 ;; Fraction with explicit radix
2809 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s)
2810 (let ((radix (string-to-int (math-match-substring s 1)))
2811 (num (math-match-substring s 3))
2812 (den (math-match-substring s 4)))
2813 (let ((num (if (> (length num) 0) (math-read-radix num radix) 1))
2814 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2815 (and num den (not (math-zerop den)) (list 'frac num den)))))
2817 ;; Float with explicit radix and exponent
2818 ((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s)
2819 (string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s))
2820 (let ((radix (string-to-int (math-match-substring s 2)))
2821 (mant (math-match-substring s 1))
2822 (exp (math-match-substring s 4)))
2823 (let ((mant (math-read-number mant))
2824 (exp (math-read-number exp)))
2826 (math-mul mant (math-pow (math-float radix) exp))))))
2828 ;; Float with explicit radix, no exponent
2829 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s)
2830 (let ((radix (string-to-int (math-match-substring s 1)))
2831 (int (math-match-substring s 3))
2832 (fracs (math-match-substring s 4)))
2833 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2834 (frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0))
2835 (calc-prefer-frac nil))
2837 (math-add int (math-div frac (math-pow radix (length fracs))))))))
2839 ;; Integer with explicit radix
2840 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s)
2841 (math-read-radix (math-match-substring s 3)
2842 (string-to-int (math-match-substring s 1))))
2844 ;; C language hexadecimal notation
2845 ((and (eq calc-language 'c)
2846 (string-match "^0[xX]\\([0-9a-fA-F]+\\)$" s))
2847 (let ((digs (math-match-substring s 1)))
2848 (math-read-radix digs 16)))
2850 ;; Pascal language hexadecimal notation
2851 ((and (eq calc-language 'pascal)
2852 (string-match "^\\$\\([0-9a-fA-F]+\\)$" s))
2853 (let ((digs (math-match-substring s 1)))
2854 (math-read-radix digs 16)))
2856 ;; Fraction using "/" instead of ":"
2857 ((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s)
2858 (math-read-number (concat (math-match-substring s 1) ":"
2859 (math-match-substring s 2))))
2864 (defun math-read-radix (s r) ; [I X D]
2869 (while (and (< i (length s))
2870 (setq dig (math-read-radix-digit (elt s i)))
2872 (setq res (math-add (math-mul res r) dig)
2874 (and (= i (length s))
2879 ;;; Expression parsing.
2881 (defvar math-expr-data)
2883 (defvar math-read-replacement-list
2885 ("±" "+/-") ; plus or minus
2886 ("×" "*") ; multiplication sign
2887 ("÷" ":") ; division sign
2888 ("−" "-") ; subtraction sign
2889 ("∕" "/") ; division sign
2890 ("∗" "*") ; asterisk multiplication
2891 ("∞" "inf") ; infinity symbol
2930 "A list whose elements (old new) indicate replacements to make
2931 in Calc algebraic input.")
2933 (defvar math-read-superscripts
2934 "⁰¹²³⁴⁵⁶⁷⁸⁹⁺⁻⁽⁾ⁿⁱ" ; 0123456789+-()ni
2935 "A string consisting of the superscripts allowed by Calc.")
2937 (defun math-read-preprocess-string (str)
2938 "Replace some substrings of STR by Calc equivalents."
2940 (replace-regexp-in-string (concat "[" math-read-superscripts "]+")
2942 (let ((rep-list math-read-replacement-list))
2945 (replace-regexp-in-string (nth 0 (car rep-list))
2946 (nth 1 (car rep-list)) str))
2947 (setq rep-list (cdr rep-list))))
2950 (defun math-read-expr (math-exp-str)
2951 (let ((math-exp-pos 0)
2952 (math-exp-old-pos 0)
2953 (math-exp-keep-spaces nil)
2954 math-exp-token math-expr-data)
2955 (setq math-exp-str (math-read-preprocess-string math-exp-str))
2956 (while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
2957 (setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots"
2958 (substring math-exp-str (+ math-exp-token 2)))))
2959 (math-build-parse-table)
2961 (let ((val (catch 'syntax (math-read-expr-level 0))))
2963 (list 'error math-exp-old-pos val)
2964 (if (equal math-exp-token 'end)
2966 (list 'error math-exp-old-pos "Syntax error"))))))
2968 (defun math-read-plain-expr (exp-str &optional error-check)
2969 (let* ((calc-language nil)
2970 (math-expr-opers math-standard-opers)
2971 (val (math-read-expr exp-str)))
2973 (eq (car-safe val) 'error)
2974 (error "%s: %s" (nth 2 val) exp-str))
2978 (defun math-read-string ()
2979 (let ((str (read-from-string (concat math-expr-data "\""))))
2980 (or (and (= (cdr str) (1+ (length math-expr-data)))
2981 (stringp (car str)))
2982 (throw 'syntax "Error in string constant"))
2984 (append '(vec) (car str) nil)))
2988 ;;; They said it couldn't be done...
2990 (defun math-read-big-expr (str)
2991 (and (> (length calc-left-label) 0)
2992 (string-match (concat "^" (regexp-quote calc-left-label)) str)
2993 (setq str (concat (substring str 0 (match-beginning 0))
2994 (substring str (match-end 0)))))
2995 (and (> (length calc-right-label) 0)
2996 (string-match (concat (regexp-quote calc-right-label) " *$") str)
2997 (setq str (concat (substring str 0 (match-beginning 0))
2998 (substring str (match-end 0)))))
2999 (if (string-match "\\\\[^ \n|]" str)
3000 (if (eq calc-language 'tex)
3001 (math-read-expr str)
3002 (let ((calc-language 'tex)
3003 (calc-language-option nil)
3004 (math-expr-opers (get 'tex 'math-oper-table))
3005 (math-expr-function-mapping (get 'tex 'math-function-table))
3006 (math-expr-variable-mapping (get 'tex 'math-variable-table)))
3007 (math-read-expr str)))
3008 (let ((math-read-big-lines nil)
3011 (math-read-big-err-msg nil)
3012 math-read-big-baseline math-read-big-h2
3014 (while (setq new-pos (string-match "\n" str pos))
3015 (setq math-read-big-lines
3016 (cons (substring str pos new-pos) math-read-big-lines)
3018 (setq math-read-big-lines
3019 (nreverse (cons (substring str pos) math-read-big-lines))
3020 p math-read-big-lines)
3022 (setq width (max width (length (car p)))
3024 (if (math-read-big-bigp math-read-big-lines)
3026 (math-read-big-rec 0 0 width (length math-read-big-lines)))
3027 math-read-big-err-msg
3028 '(error 0 "Syntax error"))
3029 (math-read-expr str)))))
3031 (defun math-read-big-bigp (math-read-big-lines)
3032 (and (cdr math-read-big-lines)
3035 (height (if (> (length (car math-read-big-lines)) 0) 1 0)))
3036 (while (and (cdr math-read-big-lines)
3039 (l1 (car math-read-big-lines))
3040 (l2 (nth 1 math-read-big-lines))
3041 (len (min (length l1) (length l2))))
3042 (if (> (length l2) 0)
3043 (setq height (1+ height)))
3044 (while (and (< i len)
3045 (or (memq (aref l1 i) '(?\ ?\- ?\_))
3046 (memq (aref l2 i) '(?\ ?\-))
3047 (and (memq (aref l1 i) '(?\| ?\,))
3048 (= (aref l2 i) (aref l1 i)))
3049 (and (eq (aref l1 i) ?\[)
3050 (eq (aref l2 i) ?\[)
3051 (let ((math-rb-h2 (length l1)))
3052 (setq j (math-read-big-balance
3057 (and (eq (aref l1 i) ?\[)
3058 (eq (aref l2 i) ?\[)
3061 (setq math-read-big-lines (cdr math-read-big-lines)
3063 (or (and (> height 1)
3064 (not (cdr math-read-big-lines)))
3067 ;;; Nontrivial "flat" formatting.
3069 (defvar math-format-hash-args nil)
3070 (defvar calc-can-abbrev-vectors nil)
3072 (defun math-format-flat-expr-fancy (a prec)
3074 ((eq (car a) 'incomplete)
3075 (format "<incomplete %s>" (nth 1 a)))
3077 (if (or calc-full-trail-vectors (not calc-can-abbrev-vectors)
3079 (concat "[" (math-format-flat-vector (cdr a) ", "
3080 (if (cdr (cdr a)) 0 1000)) "]")
3082 (math-format-flat-expr (nth 1 a) 0) ", "
3083 (math-format-flat-expr (nth 2 a) 0) ", "
3084 (math-format-flat-expr (nth 3 a) 0) ", ..., "
3085 (math-format-flat-expr (nth (1- (length a)) a) 0) "]")))
3087 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3088 (math-format-flat-expr (nth 2 a) 1000)
3090 (math-format-flat-expr (nth 3 a) 1000)
3091 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3093 (concat "<" (math-format-date a) ">"))
3094 ((and (eq (car a) 'calcFunc-lambda) (> (length a) 2))
3096 (ap calc-arg-values)
3097 (math-format-hash-args (if (= (length a) 3) 1 t)))
3098 (while (and (cdr p) (equal (car p) (car ap)))
3099 (setq p (cdr p) ap (cdr ap)))
3102 (concat (math-format-flat-vector
3103 (nreverse (cdr (reverse (cdr a)))) ", " 0)
3106 (math-format-flat-expr (nth (1- (length a)) a) 0)
3109 (or (and math-format-hash-args
3110 (let ((p calc-arg-values) (v 1))
3111 (while (and p (not (equal (car p) a)))
3112 (setq p (and (eq math-format-hash-args t) (cdr p))
3115 (if (eq math-format-hash-args 1)
3117 (format "#%d" v)))))
3118 (symbol-name (nth 1 a))))
3119 ((and (memq (car a) '(calcFunc-string calcFunc-bstring))
3121 (math-vectorp (nth 1 a))
3122 (math-vector-is-string (nth 1 a)))
3123 (concat (substring (symbol-name (car a)) 9)
3124 "(" (math-vector-to-string (nth 1 a) t) ")"))
3126 (let ((op (math-assq2 (car a) math-standard-opers)))
3127 (cond ((and op (= (length a) 3))
3128 (if (> prec (min (nth 2 op) (nth 3 op)))
3129 (concat "(" (math-format-flat-expr a 0) ")")
3130 (let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op)))
3131 (rhs (math-format-flat-expr (nth 2 a) (nth 3 op))))
3133 (if (or (equal op "^") (equal op "_"))
3134 (if (= (aref lhs 0) ?-)
3135 (setq lhs (concat "(" lhs ")")))
3136 (setq op (concat " " op " ")))
3137 (concat lhs op rhs))))
3139 (concat "-" (math-format-flat-expr (nth 1 a) 1000)))
3141 (concat (math-remove-dashes
3142 (if (string-match "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
3143 (symbol-name (car a)))
3144 (math-match-substring (symbol-name (car a)) 1)
3145 (symbol-name (car a))))
3147 (math-format-flat-vector (cdr a) ", " 0)
3150 (defun math-format-flat-vector (vec sep prec)
3152 (let ((buf (math-format-flat-expr (car vec) prec)))
3153 (while (setq vec (cdr vec))
3154 (setq buf (concat buf sep (math-format-flat-expr (car vec) prec))))
3158 (defun math-format-nice-expr (x w)
3159 (cond ((and (eq (car-safe x) 'vec)
3161 (let ((ops '(vec calcFunc-assign calcFunc-condition
3162 calcFunc-schedule calcFunc-iterations
3164 (or (memq (car-safe (nth 1 x)) ops)
3165 (memq (car-safe (nth 2 x)) ops)
3166 (memq (car-safe (nth 3 x)) ops)
3167 calc-break-vectors)))
3168 (concat "[ " (math-format-flat-vector (cdr x) ",\n " 0) " ]"))
3170 (let ((str (math-format-flat-expr x 0))
3172 (or (string-match "\"" str)
3173 (while (<= (setq p (+ pos w)) (length str))
3174 (while (and (> (setq p (1- p)) pos)
3175 (not (= (aref str p) ? ))))
3177 (setq str (concat (substring str 0 p)
3181 (setq pos (+ pos w)))))
3184 (defun math-assq2 (v a)
3185 (while (and a (not (eq v (nth 1 (car a)))))
3189 (defun math-format-number-fancy (a prec)
3191 ((eq (car a) 'float) ; non-decimal radix
3192 (if (Math-integer-negp (nth 1 a))
3193 (concat "-" (math-format-number (math-neg a)))
3194 (let ((str (if (and calc-radix-formatter
3195 (not (memq calc-language '(c pascal))))
3196 (funcall calc-radix-formatter
3198 (math-format-radix-float a prec))
3199 (format "%d#%s" calc-number-radix
3200 (math-format-radix-float a prec)))))
3201 (if (and prec (> prec 191) (string-match "\\*" str))
3202 (concat "(" str ")")
3205 (setq a (math-adjust-fraction a))
3206 (if (> (length (car calc-frac-format)) 1)
3207 (if (Math-integer-negp (nth 1 a))
3208 (concat "-" (math-format-number (math-neg a)))
3209 (let ((q (math-idivmod (nth 1 a) (nth 2 a))))
3210 (concat (let ((calc-frac-format nil))
3211 (math-format-number (car q)))
3212 (substring (car calc-frac-format) 0 1)
3213 (let ((math-radix-explicit-format nil)
3214 (calc-frac-format nil))
3215 (math-format-number (cdr q)))
3216 (substring (car calc-frac-format) 1 2)
3217 (let ((math-radix-explicit-format nil)
3218 (calc-frac-format nil))
3219 (math-format-number (nth 2 a))))))
3220 (concat (let ((calc-frac-format nil))
3221 (math-format-number (nth 1 a)))
3222 (car calc-frac-format)
3223 (let ((math-radix-explicit-format nil)
3224 (calc-frac-format nil))
3225 (math-format-number (nth 2 a))))))
3227 (if (math-zerop (nth 2 a))
3228 (math-format-number (nth 1 a))
3229 (if (null calc-complex-format)
3230 (concat "(" (math-format-number (nth 1 a))
3231 ", " (math-format-number (nth 2 a)) ")")
3232 (if (math-zerop (nth 1 a))
3233 (if (math-equal-int (nth 2 a) 1)
3234 (symbol-name calc-complex-format)
3235 (if (math-equal-int (nth 2 a) -1)
3236 (concat "-" (symbol-name calc-complex-format))
3238 (math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec)
3239 (concat (math-format-number (nth 2 a)) " "
3240 (symbol-name calc-complex-format)))))
3242 (math-compose-expr (list (if (math-negp (nth 2 a)) '- '+)
3244 (list 'cplx 0 (math-abs (nth 2 a))))
3246 (concat (math-format-number (nth 1 a))
3247 (if (math-negp (nth 2 a)) " - " " + ")
3249 (list 'cplx 0 (math-abs (nth 2 a))))))))))
3250 ((eq (car a) 'polar)
3251 (concat "(" (math-format-number (nth 1 a))
3252 "; " (math-format-number (nth 2 a)) ")"))
3255 (concat "-" (math-format-number (math-neg a)))
3256 (let ((calc-number-radix 10)
3257 (calc-leading-zeros nil)
3258 (calc-group-digits nil))
3259 (format calc-hms-format
3260 (let ((calc-frac-format '(":" nil)))
3261 (math-format-number (nth 1 a)))
3262 (let ((calc-frac-format '(":" nil)))
3263 (math-format-number (nth 2 a)))
3264 (math-format-number (nth 3 a))))))
3266 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3267 (math-format-number (nth 2 a))
3269 (math-format-number (nth 3 a))
3270 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3272 (concat (math-format-number (nth 1 a))
3274 (math-format-number (nth 2 a))))
3276 (math-format-flat-expr a 0))
3277 (t (format "%s" a))))
3279 (defun math-adjust-fraction (a)
3280 (if (nth 1 calc-frac-format)
3282 (if (Math-integerp a) (setq a (list 'frac a 1)))
3283 (let ((g (math-quotient (nth 1 calc-frac-format)
3285 (nth 1 calc-frac-format)))))
3286 (list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g))))
3289 (defun math-format-bignum-fancy (a) ; [X L]
3290 (let ((str (cond ((= calc-number-radix 10)
3291 (math-format-bignum-decimal a))
3292 ((= calc-number-radix 2)
3293 (math-format-bignum-binary a))
3294 ((= calc-number-radix 8)
3295 (math-format-bignum-octal a))
3296 ((= calc-number-radix 16)
3297 (math-format-bignum-hex a))
3298 (t (math-format-bignum-radix a)))))
3299 (if calc-leading-zeros
3300 (let* ((calc-internal-prec 6)
3301 (digs (math-compute-max-digits (math-abs calc-word-size)
3305 (setq str (concat (make-string (- digs len) ?0) str)))))
3306 (if calc-group-digits
3307 (let ((i (length str))
3308 (g (if (integerp calc-group-digits)
3309 (math-abs calc-group-digits)
3310 (if (memq calc-number-radix '(2 16)) 4 3))))
3313 str (concat (substring str 0 i)
3315 (substring str i))))
3317 (if (and (/= calc-number-radix 10)
3318 math-radix-explicit-format)
3319 (if calc-radix-formatter
3320 (funcall calc-radix-formatter calc-number-radix str)
3321 (format "%d#%s" calc-number-radix str))
3325 (defun math-group-float (str) ; [X X]
3326 (let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str)))
3327 (g (if (integerp calc-group-digits) (math-abs calc-group-digits) 3))
3329 (if (and (integerp calc-group-digits) (< calc-group-digits 0))
3330 (while (< (setq i (+ (1+ i) g)) (length str))
3331 (setq str (concat (substring str 0 i)
3334 i (+ i (1- (length calc-group-char))))))
3338 str (concat (substring str 0 i)
3340 (substring str i))))
3343 ;;; Users can redefine this in their .emacs files.
3344 (defvar calc-keypad-user-menu nil
3345 "If non-nil, this describes an additional menu for calc-keypad.
3346 It should contain a list of three rows.
3347 Each row should be a list of six keys.
3348 Each key should be a list of a label string, plus a Calc command name spec.
3349 A command spec is a command name symbol, a keyboard macro string, a
3350 list containing a numeric entry string, or nil.
3351 A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.")
3353 (run-hooks 'calc-ext-load-hook)
3356 ;;; arch-tag: 1814ba7f-a390-49dc-9e25-a5adc205e97e
3357 ;;; calc-ext.el ends here