Update years in copyright notice; nfc.
[bpt/emacs.git] / lisp / calc / calc-ext.el
1 ;;; calc-ext.el --- various extension functions for Calc
2
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2005 Free Software Foundation, Inc.
4
5 ;; Author: David Gillespie <daveg@synaptics.com>
6 ;; Maintainer: Jay Belanger <belanger@truman.edu>
7
8 ;; This file is part of GNU Emacs.
9
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.
16
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.
24
25 ;;; Commentary:
26
27 ;;; Code:
28
29 (require 'calc)
30 (require 'calc-macs)
31
32 (defvar math-simplifying nil)
33 (defvar math-living-dangerously nil) ; true if unsafe simplifications are okay.
34 (defvar math-integrating nil)
35
36 (defvar math-rewrite-selections nil)
37
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)
45
46 ;;; The following was made a function so that it could be byte-compiled.
47 (defun calc-init-extensions ()
48
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)
72
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)
95
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)
144
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)
173
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)
185
186 (define-key calc-mode-map "d" nil)
187 (define-key calc-mode-map "d?" 'calc-d-prefix-help)
188 (define-key calc-mode-map "d0" 'calc-decimal-radix)
189 (define-key calc-mode-map "d2" 'calc-binary-radix)
190 (define-key calc-mode-map "d6" 'calc-hex-radix)
191 (define-key calc-mode-map "d8" 'calc-octal-radix)
192 (define-key calc-mode-map "db" 'calc-line-breaking)
193 (define-key calc-mode-map "dc" 'calc-complex-notation)
194 (define-key calc-mode-map "dd" 'calc-date-notation)
195 (define-key calc-mode-map "de" 'calc-eng-notation)
196 (define-key calc-mode-map "df" 'calc-fix-notation)
197 (define-key calc-mode-map "dg" 'calc-group-digits)
198 (define-key calc-mode-map "dh" 'calc-hms-notation)
199 (define-key calc-mode-map "di" 'calc-i-notation)
200 (define-key calc-mode-map "dj" 'calc-j-notation)
201 (define-key calc-mode-map "dl" 'calc-line-numbering)
202 (define-key calc-mode-map "dn" 'calc-normal-notation)
203 (define-key calc-mode-map "do" 'calc-over-notation)
204 (define-key calc-mode-map "dp" 'calc-show-plain)
205 (define-key calc-mode-map "dr" 'calc-radix)
206 (define-key calc-mode-map "ds" 'calc-sci-notation)
207 (define-key calc-mode-map "dt" 'calc-truncate-stack)
208 (define-key calc-mode-map "dw" 'calc-auto-why)
209 (define-key calc-mode-map "dz" 'calc-leading-zeros)
210 (define-key calc-mode-map "dB" 'calc-big-language)
211 (define-key calc-mode-map "dD" 'calc-redo)
212 (define-key calc-mode-map "dC" 'calc-c-language)
213 (define-key calc-mode-map "dE" 'calc-eqn-language)
214 (define-key calc-mode-map "dF" 'calc-fortran-language)
215 (define-key calc-mode-map "dM" 'calc-mathematica-language)
216 (define-key calc-mode-map "dN" 'calc-normal-language)
217 (define-key calc-mode-map "dO" 'calc-flat-language)
218 (define-key calc-mode-map "dP" 'calc-pascal-language)
219 (define-key calc-mode-map "dT" 'calc-tex-language)
220 (define-key calc-mode-map "dL" 'calc-latex-language)
221 (define-key calc-mode-map "dU" 'calc-unformatted-language)
222 (define-key calc-mode-map "dW" 'calc-maple-language)
223 (define-key calc-mode-map "d[" 'calc-truncate-up)
224 (define-key calc-mode-map "d]" 'calc-truncate-down)
225 (define-key calc-mode-map "d." 'calc-point-char)
226 (define-key calc-mode-map "d," 'calc-group-char)
227 (define-key calc-mode-map "d\"" 'calc-display-strings)
228 (define-key calc-mode-map "d<" 'calc-left-justify)
229 (define-key calc-mode-map "d=" 'calc-center-justify)
230 (define-key calc-mode-map "d>" 'calc-right-justify)
231 (define-key calc-mode-map "d{" 'calc-left-label)
232 (define-key calc-mode-map "d}" 'calc-right-label)
233 (define-key calc-mode-map "d'" 'calc-display-raw)
234 (define-key calc-mode-map "d " 'calc-refresh)
235 (define-key calc-mode-map "d\r" 'calc-refresh-top)
236 (define-key calc-mode-map "d@" 'calc-toggle-banner)
237
238 (define-key calc-mode-map "f" nil)
239 (define-key calc-mode-map "f?" 'calc-f-prefix-help)
240 (define-key calc-mode-map "fb" 'calc-beta)
241 (define-key calc-mode-map "fe" 'calc-erf)
242 (define-key calc-mode-map "fg" 'calc-gamma)
243 (define-key calc-mode-map "fh" 'calc-hypot)
244 (define-key calc-mode-map "fi" 'calc-im)
245 (define-key calc-mode-map "fj" 'calc-bessel-J)
246 (define-key calc-mode-map "fn" 'calc-min)
247 (define-key calc-mode-map "fr" 'calc-re)
248 (define-key calc-mode-map "fs" 'calc-sign)
249 (define-key calc-mode-map "fx" 'calc-max)
250 (define-key calc-mode-map "fy" 'calc-bessel-Y)
251 (define-key calc-mode-map "fA" 'calc-abssqr)
252 (define-key calc-mode-map "fB" 'calc-inc-beta)
253 (define-key calc-mode-map "fE" 'calc-expm1)
254 (define-key calc-mode-map "fF" 'calc-floor)
255 (define-key calc-mode-map "fG" 'calc-inc-gamma)
256 (define-key calc-mode-map "fI" 'calc-ilog)
257 (define-key calc-mode-map "fL" 'calc-lnp1)
258 (define-key calc-mode-map "fM" 'calc-mant-part)
259 (define-key calc-mode-map "fQ" 'calc-isqrt)
260 (define-key calc-mode-map "fS" 'calc-scale-float)
261 (define-key calc-mode-map "fT" 'calc-arctan2)
262 (define-key calc-mode-map "fX" 'calc-xpon-part)
263 (define-key calc-mode-map "f[" 'calc-decrement)
264 (define-key calc-mode-map "f]" 'calc-increment)
265
266 (define-key calc-mode-map "g" nil)
267 (define-key calc-mode-map "g?" 'calc-g-prefix-help)
268 (define-key calc-mode-map "ga" 'calc-graph-add)
269 (define-key calc-mode-map "gb" 'calc-graph-border)
270 (define-key calc-mode-map "gc" 'calc-graph-clear)
271 (define-key calc-mode-map "gd" 'calc-graph-delete)
272 (define-key calc-mode-map "gf" 'calc-graph-fast)
273 (define-key calc-mode-map "gg" 'calc-graph-grid)
274 (define-key calc-mode-map "gh" 'calc-graph-header)
275 (define-key calc-mode-map "gk" 'calc-graph-key)
276 (define-key calc-mode-map "gj" 'calc-graph-juggle)
277 (define-key calc-mode-map "gl" 'calc-graph-log-x)
278 (define-key calc-mode-map "gn" 'calc-graph-name)
279 (define-key calc-mode-map "gp" 'calc-graph-plot)
280 (define-key calc-mode-map "gq" 'calc-graph-quit)
281 (define-key calc-mode-map "gr" 'calc-graph-range-x)
282 (define-key calc-mode-map "gs" 'calc-graph-line-style)
283 (define-key calc-mode-map "gt" 'calc-graph-title-x)
284 (define-key calc-mode-map "gv" 'calc-graph-view-commands)
285 (define-key calc-mode-map "gx" 'calc-graph-display)
286 (define-key calc-mode-map "gz" 'calc-graph-zero-x)
287 (define-key calc-mode-map "gA" 'calc-graph-add-3d)
288 (define-key calc-mode-map "gC" 'calc-graph-command)
289 (define-key calc-mode-map "gD" 'calc-graph-device)
290 (define-key calc-mode-map "gF" 'calc-graph-fast-3d)
291 (define-key calc-mode-map "gG" 'calc-argument)
292 (define-key calc-mode-map "gH" 'calc-graph-hide)
293 (define-key calc-mode-map "gK" 'calc-graph-kill)
294 (define-key calc-mode-map "gL" 'calc-graph-log-y)
295 (define-key calc-mode-map "gN" 'calc-graph-num-points)
296 (define-key calc-mode-map "gO" 'calc-graph-output)
297 (define-key calc-mode-map "gP" 'calc-graph-print)
298 (define-key calc-mode-map "gR" 'calc-graph-range-y)
299 (define-key calc-mode-map "gS" 'calc-graph-point-style)
300 (define-key calc-mode-map "gT" 'calc-graph-title-y)
301 (define-key calc-mode-map "gV" 'calc-graph-view-trail)
302 (define-key calc-mode-map "gX" 'calc-graph-geometry)
303 (define-key calc-mode-map "gZ" 'calc-graph-zero-y)
304 (define-key calc-mode-map "g\C-l" 'calc-graph-log-z)
305 (define-key calc-mode-map "g\C-r" 'calc-graph-range-z)
306 (define-key calc-mode-map "g\C-t" 'calc-graph-title-z)
307
308 (define-key calc-mode-map "h" 'calc-help-prefix)
309
310 (define-key calc-mode-map "j" nil)
311 (define-key calc-mode-map "j?" 'calc-j-prefix-help)
312 (define-key calc-mode-map "ja" 'calc-select-additional)
313 (define-key calc-mode-map "jb" 'calc-break-selections)
314 (define-key calc-mode-map "jc" 'calc-clear-selections)
315 (define-key calc-mode-map "jd" 'calc-show-selections)
316 (define-key calc-mode-map "je" 'calc-enable-selections)
317 (define-key calc-mode-map "jl" 'calc-select-less)
318 (define-key calc-mode-map "jm" 'calc-select-more)
319 (define-key calc-mode-map "jn" 'calc-select-next)
320 (define-key calc-mode-map "jo" 'calc-select-once)
321 (define-key calc-mode-map "jp" 'calc-select-previous)
322 (define-key calc-mode-map "jr" 'calc-rewrite-selection)
323 (define-key calc-mode-map "js" 'calc-select-here)
324 (define-key calc-mode-map "jv" 'calc-sel-evaluate)
325 (define-key calc-mode-map "ju" 'calc-unselect)
326 (define-key calc-mode-map "jC" 'calc-sel-commute)
327 (define-key calc-mode-map "jD" 'calc-sel-distribute)
328 (define-key calc-mode-map "jE" 'calc-sel-jump-equals)
329 (define-key calc-mode-map "jI" 'calc-sel-isolate)
330 (define-key calc-mode-map "jJ" 'calc-conj)
331 (define-key calc-mode-map "jL" 'calc-commute-left)
332 (define-key calc-mode-map "jM" 'calc-sel-merge)
333 (define-key calc-mode-map "jN" 'calc-sel-negate)
334 (define-key calc-mode-map "jO" 'calc-select-once-maybe)
335 (define-key calc-mode-map "jR" 'calc-commute-right)
336 (define-key calc-mode-map "jS" 'calc-select-here-maybe)
337 (define-key calc-mode-map "jU" 'calc-sel-unpack)
338 (define-key calc-mode-map "j&" 'calc-sel-invert)
339 (define-key calc-mode-map "j\r" 'calc-copy-selection)
340 (define-key calc-mode-map "j\n" 'calc-copy-selection)
341 (define-key calc-mode-map "j\010" 'calc-del-selection)
342 (define-key calc-mode-map "j\177" 'calc-del-selection)
343 (define-key calc-mode-map "j'" 'calc-enter-selection)
344 (define-key calc-mode-map "j`" 'calc-edit-selection)
345 (define-key calc-mode-map "j+" 'calc-sel-add-both-sides)
346 (define-key calc-mode-map "j-" 'calc-sel-sub-both-sides)
347 (define-key calc-mode-map "j*" 'calc-sel-mult-both-sides)
348 (define-key calc-mode-map "j/" 'calc-sel-div-both-sides)
349 (define-key calc-mode-map "j\"" 'calc-sel-expand-formula)
350
351 (define-key calc-mode-map "k" nil)
352 (define-key calc-mode-map "k?" 'calc-k-prefix-help)
353 (define-key calc-mode-map "ka" 'calc-random-again)
354 (define-key calc-mode-map "kb" 'calc-bernoulli-number)
355 (define-key calc-mode-map "kc" 'calc-choose)
356 (define-key calc-mode-map "kd" 'calc-double-factorial)
357 (define-key calc-mode-map "ke" 'calc-euler-number)
358 (define-key calc-mode-map "kf" 'calc-prime-factors)
359 (define-key calc-mode-map "kg" 'calc-gcd)
360 (define-key calc-mode-map "kh" 'calc-shuffle)
361 (define-key calc-mode-map "kl" 'calc-lcm)
362 (define-key calc-mode-map "km" 'calc-moebius)
363 (define-key calc-mode-map "kn" 'calc-next-prime)
364 (define-key calc-mode-map "kp" 'calc-prime-test)
365 (define-key calc-mode-map "kr" 'calc-random)
366 (define-key calc-mode-map "ks" 'calc-stirling-number)
367 (define-key calc-mode-map "kt" 'calc-totient)
368 (define-key calc-mode-map "kB" 'calc-utpb)
369 (define-key calc-mode-map "kC" 'calc-utpc)
370 (define-key calc-mode-map "kE" 'calc-extended-gcd)
371 (define-key calc-mode-map "kF" 'calc-utpf)
372 (define-key calc-mode-map "kK" 'calc-keep-args)
373 (define-key calc-mode-map "kN" 'calc-utpn)
374 (define-key calc-mode-map "kP" 'calc-utpp)
375 (define-key calc-mode-map "kT" 'calc-utpt)
376
377 (define-key calc-mode-map "m" nil)
378 (define-key calc-mode-map "m?" 'calc-m-prefix-help)
379 (define-key calc-mode-map "ma" 'calc-algebraic-mode)
380 (define-key calc-mode-map "md" 'calc-degrees-mode)
381 (define-key calc-mode-map "me" 'calc-embedded-preserve-modes)
382 (define-key calc-mode-map "mf" 'calc-frac-mode)
383 (define-key calc-mode-map "mg" 'calc-get-modes)
384 (define-key calc-mode-map "mh" 'calc-hms-mode)
385 (define-key calc-mode-map "mi" 'calc-infinite-mode)
386 (define-key calc-mode-map "mm" 'calc-save-modes)
387 (define-key calc-mode-map "mp" 'calc-polar-mode)
388 (define-key calc-mode-map "mr" 'calc-radians-mode)
389 (define-key calc-mode-map "ms" 'calc-symbolic-mode)
390 (define-key calc-mode-map "mt" 'calc-total-algebraic-mode)
391 (define-key calc-mode-map "\emt" 'calc-total-algebraic-mode)
392 (define-key calc-mode-map "\em\et" 'calc-total-algebraic-mode)
393 (define-key calc-mode-map "mv" 'calc-matrix-mode)
394 (define-key calc-mode-map "mw" 'calc-working)
395 (define-key calc-mode-map "mx" 'calc-always-load-extensions)
396 (define-key calc-mode-map "mA" 'calc-alg-simplify-mode)
397 (define-key calc-mode-map "mB" 'calc-bin-simplify-mode)
398 (define-key calc-mode-map "mC" 'calc-auto-recompute)
399 (define-key calc-mode-map "mD" 'calc-default-simplify-mode)
400 (define-key calc-mode-map "mE" 'calc-ext-simplify-mode)
401 (define-key calc-mode-map "mF" 'calc-settings-file-name)
402 (define-key calc-mode-map "mM" 'calc-more-recursion-depth)
403 (define-key calc-mode-map "mN" 'calc-num-simplify-mode)
404 (define-key calc-mode-map "mO" 'calc-no-simplify-mode)
405 (define-key calc-mode-map "mR" 'calc-mode-record-mode)
406 (define-key calc-mode-map "mS" 'calc-shift-prefix)
407 (define-key calc-mode-map "mU" 'calc-units-simplify-mode)
408 (define-key calc-mode-map "mX" 'calc-load-everything)
409
410 (define-key calc-mode-map "r" nil)
411 (define-key calc-mode-map "r?" 'calc-r-prefix-help)
412
413 (define-key calc-mode-map "s" nil)
414 (define-key calc-mode-map "s?" 'calc-s-prefix-help)
415 (define-key calc-mode-map "sc" 'calc-copy-variable)
416 (define-key calc-mode-map "sd" 'calc-declare-variable)
417 (define-key calc-mode-map "se" 'calc-edit-variable)
418 (define-key calc-mode-map "si" 'calc-insert-variables)
419 (define-key calc-mode-map "sk" 'calc-copy-special-constant)
420 (define-key calc-mode-map "sl" 'calc-let)
421 (define-key calc-mode-map "sm" 'calc-store-map)
422 (define-key calc-mode-map "sn" 'calc-store-neg)
423 (define-key calc-mode-map "sp" 'calc-permanent-variable)
424 (define-key calc-mode-map "sr" 'calc-recall)
425 (define-key calc-mode-map "ss" 'calc-store)
426 (define-key calc-mode-map "st" 'calc-store-into)
427 (define-key calc-mode-map "su" 'calc-unstore)
428 (define-key calc-mode-map "sx" 'calc-store-exchange)
429 (define-key calc-mode-map "sA" 'calc-edit-AlgSimpRules)
430 (define-key calc-mode-map "sD" 'calc-edit-Decls)
431 (define-key calc-mode-map "sE" 'calc-edit-EvalRules)
432 (define-key calc-mode-map "sF" 'calc-edit-FitRules)
433 (define-key calc-mode-map "sG" 'calc-edit-GenCount)
434 (define-key calc-mode-map "sH" 'calc-edit-Holidays)
435 (define-key calc-mode-map "sI" 'calc-edit-IntegLimit)
436 (define-key calc-mode-map "sL" 'calc-edit-LineStyles)
437 (define-key calc-mode-map "sP" 'calc-edit-PointStyles)
438 (define-key calc-mode-map "sR" 'calc-edit-PlotRejects)
439 (define-key calc-mode-map "sS" 'calc-sin)
440 (define-key calc-mode-map "sT" 'calc-edit-TimeZone)
441 (define-key calc-mode-map "sU" 'calc-edit-Units)
442 (define-key calc-mode-map "sX" 'calc-edit-ExtSimpRules)
443 (define-key calc-mode-map "s+" 'calc-store-plus)
444 (define-key calc-mode-map "s-" 'calc-store-minus)
445 (define-key calc-mode-map "s*" 'calc-store-times)
446 (define-key calc-mode-map "s/" 'calc-store-div)
447 (define-key calc-mode-map "s^" 'calc-store-power)
448 (define-key calc-mode-map "s|" 'calc-store-concat)
449 (define-key calc-mode-map "s&" 'calc-store-inv)
450 (define-key calc-mode-map "s[" 'calc-store-decr)
451 (define-key calc-mode-map "s]" 'calc-store-incr)
452 (define-key calc-mode-map "s:" 'calc-assign)
453 (define-key calc-mode-map "s=" 'calc-evalto)
454
455 (define-key calc-mode-map "t" nil)
456 (define-key calc-mode-map "t?" 'calc-t-prefix-help)
457 (define-key calc-mode-map "tb" 'calc-trail-backward)
458 (define-key calc-mode-map "td" 'calc-trail-display)
459 (define-key calc-mode-map "tf" 'calc-trail-forward)
460 (define-key calc-mode-map "th" 'calc-trail-here)
461 (define-key calc-mode-map "ti" 'calc-trail-in)
462 (define-key calc-mode-map "tk" 'calc-trail-kill)
463 (define-key calc-mode-map "tm" 'calc-trail-marker)
464 (define-key calc-mode-map "tn" 'calc-trail-next)
465 (define-key calc-mode-map "to" 'calc-trail-out)
466 (define-key calc-mode-map "tp" 'calc-trail-previous)
467 (define-key calc-mode-map "tr" 'calc-trail-isearch-backward)
468 (define-key calc-mode-map "ts" 'calc-trail-isearch-forward)
469 (define-key calc-mode-map "ty" 'calc-trail-yank)
470 (define-key calc-mode-map "t[" 'calc-trail-first)
471 (define-key calc-mode-map "t]" 'calc-trail-last)
472 (define-key calc-mode-map "t<" 'calc-trail-scroll-left)
473 (define-key calc-mode-map "t>" 'calc-trail-scroll-right)
474 (define-key calc-mode-map "t{" 'calc-trail-backward)
475 (define-key calc-mode-map "t}" 'calc-trail-forward)
476 (define-key calc-mode-map "t." 'calc-full-trail-vectors)
477 (define-key calc-mode-map "tC" 'calc-convert-time-zones)
478 (define-key calc-mode-map "tD" 'calc-date)
479 (define-key calc-mode-map "tI" 'calc-inc-month)
480 (define-key calc-mode-map "tJ" 'calc-julian)
481 (define-key calc-mode-map "tM" 'calc-new-month)
482 (define-key calc-mode-map "tN" 'calc-now)
483 (define-key calc-mode-map "tP" 'calc-date-part)
484 (define-key calc-mode-map "tT" 'calc-tan)
485 (define-key calc-mode-map "tU" 'calc-unix-time)
486 (define-key calc-mode-map "tW" 'calc-new-week)
487 (define-key calc-mode-map "tY" 'calc-new-year)
488 (define-key calc-mode-map "tZ" 'calc-time-zone)
489 (define-key calc-mode-map "t+" 'calc-business-days-plus)
490 (define-key calc-mode-map "t-" 'calc-business-days-minus)
491
492 (define-key calc-mode-map "u" 'nil)
493 (define-key calc-mode-map "u?" 'calc-u-prefix-help)
494 (define-key calc-mode-map "ua" 'calc-autorange-units)
495 (define-key calc-mode-map "ub" 'calc-base-units)
496 (define-key calc-mode-map "uc" 'calc-convert-units)
497 (define-key calc-mode-map "ud" 'calc-define-unit)
498 (define-key calc-mode-map "ue" 'calc-explain-units)
499 (define-key calc-mode-map "ug" 'calc-get-unit-definition)
500 (define-key calc-mode-map "up" 'calc-permanent-units)
501 (define-key calc-mode-map "ur" 'calc-remove-units)
502 (define-key calc-mode-map "us" 'calc-simplify-units)
503 (define-key calc-mode-map "ut" 'calc-convert-temperature)
504 (define-key calc-mode-map "uu" 'calc-undefine-unit)
505 (define-key calc-mode-map "uv" 'calc-enter-units-table)
506 (define-key calc-mode-map "ux" 'calc-extract-units)
507 (define-key calc-mode-map "uV" 'calc-view-units-table)
508 (define-key calc-mode-map "uC" 'calc-vector-covariance)
509 (define-key calc-mode-map "uG" 'calc-vector-geometric-mean)
510 (define-key calc-mode-map "uM" 'calc-vector-mean)
511 (define-key calc-mode-map "uN" 'calc-vector-min)
512 (define-key calc-mode-map "uS" 'calc-vector-sdev)
513 (define-key calc-mode-map "uU" 'calc-undo)
514 (define-key calc-mode-map "uX" 'calc-vector-max)
515 (define-key calc-mode-map "u#" 'calc-vector-count)
516 (define-key calc-mode-map "u+" 'calc-vector-sum)
517 (define-key calc-mode-map "u*" 'calc-vector-product)
518
519 (define-key calc-mode-map "v" 'nil)
520 (define-key calc-mode-map "v?" 'calc-v-prefix-help)
521 (define-key calc-mode-map "va" 'calc-arrange-vector)
522 (define-key calc-mode-map "vb" 'calc-build-vector)
523 (define-key calc-mode-map "vc" 'calc-mcol)
524 (define-key calc-mode-map "vd" 'calc-diag)
525 (define-key calc-mode-map "ve" 'calc-expand-vector)
526 (define-key calc-mode-map "vf" 'calc-vector-find)
527 (define-key calc-mode-map "vh" 'calc-head)
528 (define-key calc-mode-map "vi" 'calc-ident)
529 (define-key calc-mode-map "vk" 'calc-cons)
530 (define-key calc-mode-map "vl" 'calc-vlength)
531 (define-key calc-mode-map "vm" 'calc-mask-vector)
532 (define-key calc-mode-map "vn" 'calc-rnorm)
533 (define-key calc-mode-map "vp" 'calc-pack)
534 (define-key calc-mode-map "vr" 'calc-mrow)
535 (define-key calc-mode-map "vs" 'calc-subvector)
536 (define-key calc-mode-map "vt" 'calc-transpose)
537 (define-key calc-mode-map "vu" 'calc-unpack)
538 (define-key calc-mode-map "vv" 'calc-reverse-vector)
539 (define-key calc-mode-map "vx" 'calc-index)
540 (define-key calc-mode-map "vA" 'calc-apply)
541 (define-key calc-mode-map "vC" 'calc-cross)
542 (define-key calc-mode-map "vD" 'calc-mdet)
543 (define-key calc-mode-map "vE" 'calc-set-enumerate)
544 (define-key calc-mode-map "vF" 'calc-set-floor)
545 (define-key calc-mode-map "vG" 'calc-grade)
546 (define-key calc-mode-map "vH" 'calc-histogram)
547 (define-key calc-mode-map "vI" 'calc-inner-product)
548 (define-key calc-mode-map "vJ" 'calc-conj-transpose)
549 (define-key calc-mode-map "vL" 'calc-mlud)
550 (define-key calc-mode-map "vM" 'calc-map)
551 (define-key calc-mode-map "vN" 'calc-cnorm)
552 (define-key calc-mode-map "vO" 'calc-outer-product)
553 (define-key calc-mode-map "vR" 'calc-reduce)
554 (define-key calc-mode-map "vS" 'calc-sort)
555 (define-key calc-mode-map "vT" 'calc-mtrace)
556 (define-key calc-mode-map "vU" 'calc-accumulate)
557 (define-key calc-mode-map "vV" 'calc-set-union)
558 (define-key calc-mode-map "vX" 'calc-set-xor)
559 (define-key calc-mode-map "v^" 'calc-set-intersect)
560 (define-key calc-mode-map "v-" 'calc-set-difference)
561 (define-key calc-mode-map "v~" 'calc-set-complement)
562 (define-key calc-mode-map "v:" 'calc-set-span)
563 (define-key calc-mode-map "v#" 'calc-set-cardinality)
564 (define-key calc-mode-map "v+" 'calc-remove-duplicates)
565 (define-key calc-mode-map "v&" 'calc-inv)
566 (define-key calc-mode-map "v<" 'calc-matrix-left-justify)
567 (define-key calc-mode-map "v=" 'calc-matrix-center-justify)
568 (define-key calc-mode-map "v>" 'calc-matrix-right-justify)
569 (define-key calc-mode-map "v." 'calc-full-vectors)
570 (define-key calc-mode-map "v/" 'calc-break-vectors)
571 (define-key calc-mode-map "v," 'calc-vector-commas)
572 (define-key calc-mode-map "v[" 'calc-vector-brackets)
573 (define-key calc-mode-map "v]" 'calc-matrix-brackets)
574 (define-key calc-mode-map "v{" 'calc-vector-braces)
575 (define-key calc-mode-map "v}" 'calc-matrix-brackets)
576 (define-key calc-mode-map "v(" 'calc-vector-parens)
577 (define-key calc-mode-map "v)" 'calc-matrix-brackets)
578 ;; We can't rely on the automatic upper->lower conversion because
579 ;; in the global map V is explicitly bound, so we need to bind it
580 ;; explicitly as well :-( --stef
581 (define-key calc-mode-map "V" (lookup-key calc-mode-map "v"))
582
583 (define-key calc-mode-map "z" 'nil)
584 (define-key calc-mode-map "z?" 'calc-z-prefix-help)
585
586 (define-key calc-mode-map "Z" 'nil)
587 (define-key calc-mode-map "Z?" 'calc-shift-Z-prefix-help)
588 (define-key calc-mode-map "ZC" 'calc-user-define-composition)
589 (define-key calc-mode-map "ZD" 'calc-user-define)
590 (define-key calc-mode-map "ZE" 'calc-user-define-edit)
591 (define-key calc-mode-map "ZF" 'calc-user-define-formula)
592 (define-key calc-mode-map "ZG" 'calc-get-user-defn)
593 (define-key calc-mode-map "ZI" 'calc-user-define-invocation)
594 (define-key calc-mode-map "ZK" 'calc-user-define-kbd-macro)
595 (define-key calc-mode-map "ZP" 'calc-user-define-permanent)
596 (define-key calc-mode-map "ZS" 'calc-edit-user-syntax)
597 (define-key calc-mode-map "ZT" 'calc-timing)
598 (define-key calc-mode-map "ZU" 'calc-user-undefine)
599 (define-key calc-mode-map "Z[" 'calc-kbd-if)
600 (define-key calc-mode-map "Z:" 'calc-kbd-else)
601 (define-key calc-mode-map "Z|" 'calc-kbd-else-if)
602 (define-key calc-mode-map "Z]" 'calc-kbd-end-if)
603 (define-key calc-mode-map "Z<" 'calc-kbd-repeat)
604 (define-key calc-mode-map "Z>" 'calc-kbd-end-repeat)
605 (define-key calc-mode-map "Z(" 'calc-kbd-for)
606 (define-key calc-mode-map "Z)" 'calc-kbd-end-for)
607 (define-key calc-mode-map "Z{" 'calc-kbd-loop)
608 (define-key calc-mode-map "Z}" 'calc-kbd-end-loop)
609 (define-key calc-mode-map "Z/" 'calc-kbd-break)
610 (define-key calc-mode-map "Z`" 'calc-kbd-push)
611 (define-key calc-mode-map "Z'" 'calc-kbd-pop)
612 (define-key calc-mode-map "Z=" 'calc-kbd-report)
613 (define-key calc-mode-map "Z#" 'calc-kbd-query)
614
615 (calc-init-prefixes)
616
617 (mapcar (function
618 (lambda (x)
619 (define-key calc-mode-map (format "c%c" x) 'calc-clean-num)
620 (define-key calc-mode-map (format "j%c" x) 'calc-select-part)
621 (define-key calc-mode-map (format "r%c" x) 'calc-recall-quick)
622 (define-key calc-mode-map (format "s%c" x) 'calc-store-quick)
623 (define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick)
624 (define-key calc-mode-map (format "u%c" x) 'calc-quick-units)))
625 "0123456789")
626
627 (let ((i ?A))
628 (while (<= i ?z)
629 (if (eq (car-safe (aref (nth 1 calc-mode-map) i)) 'keymap)
630 (aset (nth 1 calc-mode-map) i
631 (cons 'keymap (cons (cons ?\e (aref (nth 1 calc-mode-map) i))
632 (cdr (aref (nth 1 calc-mode-map) i))))))
633 (setq i (1+ i))))
634
635 (setq calc-alg-map (copy-keymap calc-mode-map)
636 calc-alg-esc-map (copy-keymap esc-map))
637 (let ((i 32))
638 (while (< i 127)
639 (or (memq i '(?' ?` ?= ??))
640 (aset (nth 1 calc-alg-map) i 'calc-auto-algebraic-entry))
641 (or (memq i '(?# ?x ?0 ?1 ?2 ?3 ?4 ?5 ?6 ?7 ?8 ?9))
642 (aset (nth 1 calc-alg-esc-map) i (aref (nth 1 calc-mode-map) i)))
643 (setq i (1+ i))))
644 (define-key calc-alg-map "\e" calc-alg-esc-map)
645 (define-key calc-alg-map "\e\t" 'calc-roll-up)
646 (define-key calc-alg-map "\e\C-m" 'calc-last-args-stub)
647 (define-key calc-alg-map "\e\177" 'calc-pop-above)
648
649 ;;;; (Autoloads here)
650 (mapcar (function (lambda (x)
651 (mapcar (function (lambda (func)
652 (autoload func (car x)))) (cdr x))))
653 '(
654
655 ("calc-alg" calc-has-rules math-defsimplify
656 calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
657 calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
658 calcFunc-simplify calcFunc-subst math-beforep
659 math-build-polynomial-expr math-expand-formula math-expr-contains
660 math-expr-contains-count math-expr-depends math-expr-height
661 math-expr-subst math-expr-weight math-integer-plus math-is-linear
662 math-is-multiple math-is-polynomial math-linear-in math-multiple-of
663 math-poly-depends math-poly-mix math-poly-mul
664 math-poly-simplify math-poly-zerop math-polynomial-base
665 math-polynomial-p math-recompile-eval-rules math-simplify
666 math-simplify-exp math-simplify-extended math-simplify-sqrt
667 math-to-simple-fraction)
668
669 ("calcalg2" calcFunc-asum calcFunc-deriv
670 calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly
671 calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots
672 calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor
673 calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12
674 math-integral-rational-funcs math-lcm-denoms math-looks-evenp
675 math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn
676 math-solve-for math-sum-rec math-try-integral)
677
678 ("calcalg3" calcFunc-efit calcFunc-fit
679 calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar
680 calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize
681 calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint
682 calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot
683 calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate
684 math-ninteg-midpoint math-ninteg-romberg math-poly-interp)
685
686 ("calc-arith" calcFunc-abs calcFunc-abssqr
687 calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag
688 calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg
689 calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd
690 calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
691 calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
692 calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
693 calcFunc-idiv calcFunc-incr calcFunc-mant calcFunc-max calcFunc-min
694 calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
695 calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
696 calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
697 math-add-objects-fancy math-add-or-sub math-add-symb-fancy
698 math-ceiling math-combine-prod math-combine-sum math-div-by-zero
699 math-div-objects-fancy math-div-symb-fancy math-div-zero
700 math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg
701 math-intv-constp math-known-evenp math-known-imagp math-known-integerp
702 math-known-matrixp math-known-negp math-known-nonnegp
703 math-known-nonposp math-known-nonzerop math-known-num-integerp
704 math-known-oddp math-known-posp math-known-realp math-known-scalarp
705 math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy
706 math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy
707 math-neg-float math-okay-neg math-possible-signs math-possible-types
708 math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero
709 math-quarter-integer math-round math-setup-declarations math-sqr
710 math-sqr-float math-trunc-fancy math-trunc-special)
711
712 ("calc-bin" calcFunc-and calcFunc-ash
713 calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or
714 calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip
715 math-compute-max-digits math-convert-radix-digits math-float-parts
716 math-format-bignum-binary math-format-bignum-hex
717 math-format-bignum-octal math-format-bignum-radix math-format-binary
718 math-format-radix math-format-radix-float math-integer-log2
719 math-power-of-2 math-radix-float-power)
720
721 ("calc-comb" calc-report-prime-test
722 calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact
723 calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime
724 calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime
725 calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2
726 calcFunc-totient math-init-random-base math-member math-prime-test
727 math-random-base)
728
729 ("calccomp" calcFunc-cascent calcFunc-cdescent
730 calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent
731 math-comp-height math-comp-width math-compose-expr
732 math-composition-to-string math-stack-value-offset-fancy
733 math-vector-is-string math-vector-to-string)
734
735 ("calc-cplx" calcFunc-arg calcFunc-conj
736 calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex
737 math-fix-circular math-imaginary math-imaginary-i math-normalize-polar
738 math-polar math-want-polar)
739
740 ("calc-embed" calc-do-embedded
741 calc-do-embedded-activate calc-embedded-evaluate-expr
742 calc-embedded-modes-change calc-embedded-var-change
743 calc-embedded-preserve-modes)
744
745 ("calc-fin" calc-to-percentage calcFunc-ddb
746 calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb
747 calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb
748 calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl
749 calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd)
750
751 ("calc-forms" calcFunc-badd calcFunc-bsub
752 calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms
753 calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear
754 calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute
755 calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear
756 calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second
757 calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime
758 calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals
759 math-date-parts math-date-to-dt math-div-mod math-dt-to-date
760 math-format-date math-from-business-day math-from-hms math-make-intv
761 math-make-mod math-make-sdev math-mod-intv math-normalize-hms
762 math-normalize-mod math-parse-date math-read-angle-brackets
763 math-setup-add-holidays math-setup-holidays math-setup-year-holidays
764 math-sort-intv math-to-business-day math-to-hms)
765
766 ("calc-frac" calc-add-fractions
767 calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac
768 math-make-frac)
769
770 ("calc-funcs" calc-prob-dist calcFunc-bern
771 calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB
772 calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler
773 calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ
774 calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf
775 calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc
776 calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt
777 math-bernoulli-number math-gammap1-raw)
778
779 ("calc-graph" calc-graph-show-tty)
780
781 ("calc-incom" calc-digit-dots)
782
783 ("calc-keypd" calc-do-keypad
784 calc-keypad-x-left-click calc-keypad-x-middle-click
785 calc-keypad-x-right-click)
786
787 ("calc-lang" calc-set-language
788 math-read-big-balance math-read-big-rec)
789
790 ("calc-map" calc-get-operator calcFunc-accum
791 calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call
792 calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc
793 calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr
794 calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum
795 calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced
796 calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec
797 calcFunc-rreduced calcFunc-rreducer math-build-call
798 math-calcFunc-to-var math-multi-subst math-multi-subst-rec
799 math-var-to-calcFunc)
800
801 ("calc-mtx" calcFunc-det calcFunc-lud calcFunc-tr
802 math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud
803 math-mul-mat-vec math-mul-mats math-row-matrix)
804
805 ("calc-math" calcFunc-alog calcFunc-arccos
806 calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh
807 calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-csc
808 calcFunc-csch calcFunc-cos calcFunc-cosh calcFunc-cot calcFunc-coth
809 calcFunc-deg calcFunc-exp calcFunc-exp10 calcFunc-expm1
810 calcFunc-hypot calcFunc-ilog calcFunc-isqrt calcFunc-ln calcFunc-lnp1
811 calcFunc-log calcFunc-log10 calcFunc-nroot calcFunc-rad calcFunc-sec
812 calcFunc-sech calcFunc-sin
813 calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan
814 calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw
815 math-arctan2-raw math-cos-raw math-cot-raw math-csc-raw
816 math-exp-minus-1-raw math-exp-raw
817 math-from-radians math-from-radians-2 math-hypot math-infinite-dir
818 math-isqrt-small math-ln-raw math-nearly-equal math-nearly-equal-float
819 math-nearly-zerop math-nearly-zerop-float math-nth-root
820 math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw
821 math-tan-raw math-to-radians math-to-radians-2)
822
823 ("calc-mode" math-get-modes-vec)
824
825 ("calc-poly" calcFunc-apart calcFunc-expand
826 calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat
827 calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide
828 calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim
829 calcFunc-prem math-accum-factors math-atomic-factorp
830 math-div-poly-const math-div-thru math-expand-power math-expand-term
831 math-factor-contains math-factor-expr math-factor-expr-part
832 math-factor-expr-try math-factor-finish math-factor-poly-coefs
833 math-factor-protect math-mul-thru math-padded-polynomial
834 math-partial-fractions math-poly-degree math-poly-deriv-coefs
835 math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p
836 math-to-ratpoly math-to-ratpoly-rec)
837
838 ("calc-prog" calc-default-formula-arglist
839 calc-execute-kbd-macro calc-finish-user-syntax-edit
840 calc-fix-token-name calc-fix-user-formula calc-read-parse-table
841 calc-read-parse-table-part calc-subsetp calc-write-parse-table
842 calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq
843 calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue
844 calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt
845 calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real
846 calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable
847 math-body-refers-to math-break math-composite-inequalities
848 math-do-defmath math-handle-for math-handle-foreach
849 math-normalize-logical-op math-return)
850
851 ("calc-rewr" calcFunc-match calcFunc-matches
852 calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches
853 math-apply-rewrites math-compile-patterns math-compile-rewrites
854 math-flatten-lands math-match-patterns math-rewrite
855 math-rewrite-heads)
856
857 ("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules
858 calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules
859 calc-MergeRules calc-NegateRules
860 calc-compile-rule-set)
861
862 ("calc-sel" calc-auto-selection
863 calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula
864 calc-find-parent-formula calc-find-sub-formula calc-prepare-selection
865 calc-preserve-point calc-replace-selections calc-replace-sub-formula
866 calc-roll-down-with-selections calc-roll-up-with-selections
867 calc-sel-error)
868
869 ("calc-stat" calc-vector-op calcFunc-agmean
870 calcFunc-vcorr calcFunc-vcount calcFunc-vcov calcFunc-vflat
871 calcFunc-vgmean calcFunc-vhmean calcFunc-vmax calcFunc-vmean
872 calcFunc-vmeane calcFunc-vmedian calcFunc-vmin calcFunc-vpcov
873 calcFunc-vprod calcFunc-vpsdev calcFunc-vpvar calcFunc-vsdev
874 calcFunc-vsum calcFunc-vvar math-flatten-many-vecs)
875
876 ("calc-store" calc-read-var-name
877 calc-store-value calc-var-name)
878
879 ("calc-stuff" calc-explain-why calcFunc-clean
880 calcFunc-pclean calcFunc-pfloat calcFunc-pfrac)
881
882 ("calc-units" calcFunc-usimplify
883 math-build-units-table math-build-units-table-buffer
884 math-check-unit-name math-convert-temperature math-convert-units
885 math-extract-units math-remove-units math-simplify-units
886 math-single-units-in-expr-p math-to-standard-units
887 math-units-in-expr-p)
888
889 ("calc-vec" calcFunc-append calcFunc-appendrev
890 calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross
891 calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find
892 calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram
893 calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims
894 calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack
895 calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade
896 calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec
897 calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec
898 calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt
899 calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev
900 calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp
901 calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask
902 calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack
903 calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix
904 math-dimension-error math-dot-product math-flatten-vector math-map-vec
905 math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set
906 math-read-brackets math-reduce-cols math-reduce-vec math-transpose)
907
908 ("calc-yank" calc-alg-edit calc-clean-newlines
909 calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit
910 calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer)
911
912 ))
913
914 (mapcar (function (lambda (x)
915 (mapcar (function (lambda (cmd)
916 (autoload cmd (car x) nil t))) (cdr x))))
917 '(
918
919 ("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
920 calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
921 calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
922 calc-simplify-extended calc-substitute)
923
924 ("calcalg2" calc-alt-summation calc-derivative
925 calc-dump-integral-cache calc-integral calc-num-integral
926 calc-poly-roots calc-product calc-solve-for calc-summation
927 calc-tabulate calc-taylor)
928
929 ("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum
930 calc-find-root calc-poly-interp)
931
932 ("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement
933 calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min
934 calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part)
935
936 ("calc-bin" calc-and calc-binary-radix calc-clip calc-decimal-radix
937 calc-diff calc-hex-radix calc-leading-zeros calc-lshift-arith
938 calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix
939 calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size
940 calc-xor)
941
942 ("calc-comb" calc-choose calc-double-factorial calc-extended-gcd
943 calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius
944 calc-next-prime calc-perm calc-prev-prime calc-prime-factors
945 calc-prime-test calc-random calc-random-again calc-rrandom
946 calc-shuffle calc-totient)
947
948 ("calc-cplx" calc-argument calc-complex-notation calc-i-notation
949 calc-im calc-j-notation calc-polar calc-polar-mode calc-re)
950
951 ("calc-embed" calc-embedded-copy-formula-as-kill
952 calc-embedded-duplicate calc-embedded-edit calc-embedded-forget
953 calc-embedded-kill-formula calc-embedded-mark-formula
954 calc-embedded-new-formula calc-embedded-next calc-embedded-previous
955 calc-embedded-select calc-embedded-update-formula calc-embedded-word
956 calc-find-globals calc-show-plain)
957
958 ("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv
959 calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv
960 calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change)
961
962 ("calc-forms" calc-business-days-minus calc-business-days-plus
963 calc-convert-time-zones calc-date calc-date-notation calc-date-part
964 calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month
965 calc-julian calc-new-month calc-new-week calc-new-year calc-now
966 calc-time calc-time-zone calc-to-hms calc-unix-time)
967
968 ("calc-frac" calc-fdiv calc-frac-mode calc-fraction
969 calc-over-notation calc-slash-notation)
970
971 ("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y
972 calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta
973 calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf
974 calc-utpn calc-utpp calc-utpt)
975
976 ("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border
977 calc-graph-clear calc-graph-command calc-graph-delete
978 calc-graph-device calc-graph-display calc-graph-fast
979 calc-graph-fast-3d calc-graph-geometry calc-graph-grid
980 calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key
981 calc-graph-kill calc-graph-line-style calc-graph-log-x
982 calc-graph-log-y calc-graph-log-z calc-graph-name
983 calc-graph-num-points calc-graph-output calc-graph-plot
984 calc-graph-point-style calc-graph-print calc-graph-quit
985 calc-graph-range-x calc-graph-range-y calc-graph-range-z
986 calc-graph-show-dumb calc-graph-title-x calc-graph-title-y
987 calc-graph-title-z calc-graph-view-commands calc-graph-view-trail
988 calc-graph-zero-x calc-graph-zero-y)
989
990 ("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help
991 calc-d-prefix-help calc-describe-function calc-describe-key
992 calc-describe-key-briefly calc-describe-variable calc-f-prefix-help
993 calc-full-help calc-g-prefix-help calc-help-prefix
994 calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help
995 calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help
996 calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help
997 calc-t-prefix-help calc-u-prefix-help calc-v-prefix-help)
998
999 ("calc-incom" calc-begin-complex calc-begin-vector calc-comma
1000 calc-dots calc-end-complex calc-end-vector calc-semi)
1001
1002 ("calc-keypd" calc-keypad-menu calc-keypad-menu-back
1003 calc-keypad-press)
1004
1005 ("calc-lang" calc-big-language calc-c-language calc-eqn-language
1006 calc-flat-language calc-fortran-language calc-maple-language
1007 calc-mathematica-language calc-normal-language calc-pascal-language
1008 calc-tex-language calc-latex-language calc-unformatted-language)
1009
1010 ("calc-map" calc-accumulate calc-apply calc-inner-product calc-map
1011 calc-map-equation calc-map-stack calc-outer-product calc-reduce)
1012
1013 ("calc-mtx" calc-mdet calc-mlud calc-mtrace)
1014
1015 ("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh
1016 calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh
1017 calc-cot calc-coth calc-csc calc-csch
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-sec calc-sech
1021 calc-sin calc-sincos calc-sinh calc-sqrt
1022 calc-tan calc-tanh calc-to-degrees calc-to-radians)
1023
1024 ("calc-mode" calc-alg-simplify-mode calc-algebraic-mode
1025 calc-always-load-extensions calc-auto-recompute calc-auto-why
1026 calc-bin-simplify-mode calc-break-vectors calc-center-justify
1027 calc-default-simplify-mode calc-display-raw calc-eng-notation
1028 calc-ext-simplify-mode calc-fix-notation calc-full-trail-vectors
1029 calc-full-vectors calc-get-modes calc-group-char calc-group-digits
1030 calc-infinite-mode calc-left-justify calc-left-label
1031 calc-line-breaking calc-line-numbering calc-matrix-brackets
1032 calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode
1033 calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode
1034 calc-normal-notation calc-num-simplify-mode calc-point-char
1035 calc-right-justify calc-right-label calc-save-modes calc-sci-notation
1036 calc-settings-file-name calc-shift-prefix calc-symbolic-mode
1037 calc-total-algebraic-mode calc-truncate-down calc-truncate-stack
1038 calc-truncate-up calc-units-simplify-mode calc-vector-braces
1039 calc-vector-brackets calc-vector-commas calc-vector-parens
1040 calc-working)
1041
1042 ("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax
1043 calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
1044 calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if
1045 calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat
1046 calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push
1047 calc-kbd-query calc-kbd-repeat calc-kbd-report calc-less-equal
1048 calc-less-than calc-logical-and calc-logical-if calc-logical-not
1049 calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal
1050 calc-timing calc-user-define calc-user-define-composition
1051 calc-user-define-edit calc-user-define-formula
1052 calc-user-define-invocation calc-user-define-kbd-macro
1053 calc-user-define-permanent calc-user-undefine)
1054
1055 ("calc-rewr" calc-match calc-rewrite calc-rewrite-selection)
1056
1057 ("calc-sel" calc-break-selections calc-clear-selections
1058 calc-copy-selection calc-del-selection calc-edit-selection
1059 calc-enable-selections calc-enter-selection calc-sel-add-both-sides
1060 calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula
1061 calc-sel-mult-both-sides calc-sel-sub-both-sides
1062 calc-select-additional calc-select-here calc-select-here-maybe
1063 calc-select-less calc-select-more calc-select-next calc-select-once
1064 calc-select-once-maybe calc-select-part calc-select-previous
1065 calc-show-selections calc-unselect)
1066
1067 ("calcsel2" calc-commute-left calc-commute-right calc-sel-commute
1068 calc-sel-distribute calc-sel-invert calc-sel-isolate
1069 calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack)
1070
1071 ("calc-stat" calc-vector-correlation calc-vector-count
1072 calc-vector-covariance calc-vector-geometric-mean
1073 calc-vector-harmonic-mean calc-vector-max calc-vector-mean
1074 calc-vector-mean-error calc-vector-median calc-vector-min
1075 calc-vector-pop-covariance calc-vector-pop-sdev
1076 calc-vector-pop-variance calc-vector-product calc-vector-sdev
1077 calc-vector-sum calc-vector-variance)
1078
1079 ("calc-store" calc-assign calc-copy-special-constant
1080 calc-copy-variable calc-declare-variable
1081 calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules
1082 calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount
1083 calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles
1084 calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone
1085 calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables
1086 calc-let calc-permanent-variable calc-recall calc-recall-quick
1087 calc-store calc-store-concat calc-store-decr calc-store-div
1088 calc-store-exchange calc-store-incr calc-store-into
1089 calc-store-into-quick calc-store-inv calc-store-map calc-store-minus
1090 calc-store-neg calc-store-plus calc-store-power calc-store-quick
1091 calc-store-times calc-subscript calc-unstore)
1092
1093 ("calc-stuff" calc-clean calc-clean-num calc-flush-caches
1094 calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix
1095 calc-version calc-why)
1096
1097 ("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward
1098 calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward
1099 calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next
1100 calc-trail-out calc-trail-previous calc-trail-scroll-left
1101 calc-trail-scroll-right calc-trail-yank)
1102
1103 ("calc-undo" calc-last-args calc-redo calc-undo)
1104
1105 ("calc-units" calc-autorange-units calc-base-units
1106 calc-convert-temperature calc-convert-units calc-define-unit
1107 calc-enter-units-table calc-explain-units calc-extract-units
1108 calc-get-unit-definition calc-permanent-units calc-quick-units
1109 calc-remove-units calc-simplify-units calc-undefine-unit
1110 calc-view-units-table)
1111
1112 ("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm
1113 calc-conj-transpose calc-cons calc-cross calc-diag
1114 calc-display-strings calc-expand-vector calc-grade calc-head
1115 calc-histogram calc-ident calc-index calc-mask-vector calc-mcol
1116 calc-mrow calc-pack calc-pack-bits calc-remove-duplicates
1117 calc-reverse-vector calc-rnorm calc-set-cardinality
1118 calc-set-complement calc-set-difference calc-set-enumerate
1119 calc-set-floor calc-set-intersect calc-set-span calc-set-union
1120 calc-set-xor calc-sort calc-subvector calc-tail calc-transpose
1121 calc-unpack calc-unpack-bits calc-vector-find calc-vlength)
1122
1123 ("calc-yank" calc-copy-as-kill calc-copy-region-as-kill
1124 calc-copy-to-buffer calc-edit calc-edit-cancel calc-edit-mode
1125 calc-kill calc-kill-region calc-yank))))
1126
1127 (defun calc-init-prefixes ()
1128 (if calc-shift-prefix
1129 (progn
1130 (define-key calc-mode-map "A" (lookup-key calc-mode-map "a"))
1131 (define-key calc-mode-map "B" (lookup-key calc-mode-map "b"))
1132 (define-key calc-mode-map "C" (lookup-key calc-mode-map "c"))
1133 (define-key calc-mode-map "D" (lookup-key calc-mode-map "d"))
1134 (define-key calc-mode-map "F" (lookup-key calc-mode-map "f"))
1135 (define-key calc-mode-map "G" (lookup-key calc-mode-map "g"))
1136 (define-key calc-mode-map "J" (lookup-key calc-mode-map "j"))
1137 (define-key calc-mode-map "K" (lookup-key calc-mode-map "k"))
1138 (define-key calc-mode-map "M" (lookup-key calc-mode-map "m"))
1139 (define-key calc-mode-map "S" (lookup-key calc-mode-map "s"))
1140 (define-key calc-mode-map "T" (lookup-key calc-mode-map "t"))
1141 (define-key calc-mode-map "U" (lookup-key calc-mode-map "u")))
1142 (define-key calc-mode-map "A" 'calc-abs)
1143 (define-key calc-mode-map "B" 'calc-log)
1144 (define-key calc-mode-map "C" 'calc-cos)
1145 (define-key calc-mode-map "D" 'calc-redo)
1146 (define-key calc-mode-map "F" 'calc-floor)
1147 (define-key calc-mode-map "G" 'calc-argument)
1148 (define-key calc-mode-map "J" 'calc-conj)
1149 (define-key calc-mode-map "K" 'calc-keep-args)
1150 (define-key calc-mode-map "M" 'calc-more-recursion-depth)
1151 (define-key calc-mode-map "S" 'calc-sin)
1152 (define-key calc-mode-map "T" 'calc-tan)
1153 (define-key calc-mode-map "U" 'calc-undo)))
1154
1155 (calc-init-extensions)
1156
1157
1158
1159
1160 ;;;; Miscellaneous.
1161
1162 ;; calc-command-flags is declared in calc.el
1163 (defvar calc-command-flags)
1164
1165 (defun calc-clear-command-flag (f)
1166 (setq calc-command-flags (delq f calc-command-flags)))
1167
1168
1169 (defun calc-record-message (tag &rest args)
1170 (let ((msg (apply 'format args)))
1171 (message "%s" msg)
1172 (calc-record msg tag))
1173 (calc-clear-command-flag 'clear-message))
1174
1175
1176 (defun calc-normalize-fancy (val)
1177 (let ((simp (if (consp calc-simplify-mode)
1178 (car calc-simplify-mode)
1179 calc-simplify-mode)))
1180 (cond ((eq simp 'binary)
1181 (let ((s (math-normalize val)))
1182 (if (math-realp s)
1183 (math-clip (math-round s))
1184 s)))
1185 ((eq simp 'alg)
1186 (math-simplify val))
1187 ((eq simp 'ext)
1188 (math-simplify-extended val))
1189 ((eq simp 'units)
1190 (math-simplify-units val))
1191 (t ; nil, none, num
1192 (math-normalize val)))))
1193
1194
1195
1196 (if (boundp 'calc-help-map)
1197 nil
1198 (setq calc-help-map (make-keymap))
1199 (define-key calc-help-map "b" 'calc-describe-bindings)
1200 (define-key calc-help-map "c" 'calc-describe-key-briefly)
1201 (define-key calc-help-map "f" 'calc-describe-function)
1202 (define-key calc-help-map "h" 'calc-full-help)
1203 (define-key calc-help-map "i" 'calc-info)
1204 (define-key calc-help-map "k" 'calc-describe-key)
1205 (define-key calc-help-map "n" 'calc-view-news)
1206 (define-key calc-help-map "s" 'calc-info-summary)
1207 (define-key calc-help-map "t" 'calc-tutorial)
1208 (define-key calc-help-map "v" 'calc-describe-variable)
1209 (define-key calc-help-map "\C-c" 'calc-describe-copying)
1210 (define-key calc-help-map "\C-d" 'calc-describe-distribution)
1211 (define-key calc-help-map "\C-n" 'calc-view-news)
1212 (define-key calc-help-map "\C-w" 'calc-describe-no-warranty)
1213 (define-key calc-help-map "?" 'calc-help-for-help)
1214 (define-key calc-help-map "\C-h" 'calc-help-for-help))
1215
1216 (defvar calc-prefix-help-phase 0)
1217 (defun calc-do-prefix-help (msgs group key)
1218 (if calc-full-help-flag
1219 (list msgs group key)
1220 (if (cdr msgs)
1221 (progn
1222 (setq calc-prefix-help-phase
1223 (if (eq this-command last-command)
1224 (% (1+ calc-prefix-help-phase) (1+ (length msgs)))
1225 0))
1226 (let ((msg (nth calc-prefix-help-phase msgs)))
1227 (message "%s" (if msg
1228 (concat group ": " msg ":"
1229 (make-string
1230 (- (apply 'max (mapcar 'length msgs))
1231 (length msg)) 32)
1232 " [MORE]"
1233 (if key
1234 (concat " " (char-to-string key)
1235 "-")
1236 ""))
1237 (if key (format "%c-" key) "")))))
1238 (setq calc-prefix-help-phase 0)
1239 (if key
1240 (if msgs
1241 (message "%s: %s: %c-" group (car msgs) key)
1242 (message "%s: (none) %c-" group key))
1243 (message "%s: %s" group (car msgs))))
1244 (and key (calc-unread-command key))))
1245
1246 ;;;; Commands.
1247
1248
1249 ;;; General.
1250
1251 (defun calc-reset (arg)
1252 (interactive "P")
1253 (setq arg (if arg (prefix-numeric-value arg) nil))
1254 (cond
1255 ((and
1256 calc-embedded-info
1257 (equal (aref calc-embedded-info 0) (current-buffer))
1258 (<= (point) (aref calc-embedded-info 5))
1259 (>= (point) (aref calc-embedded-info 4)))
1260 (let ((cbuf (aref calc-embedded-info 1))
1261 (calc-embedded-quiet t))
1262 (save-window-excursion
1263 (calc-embedded nil)
1264 (set-buffer cbuf)
1265 (calc-reset arg))
1266 (calc-embedded nil)))
1267 ((eq major-mode 'calc-mode)
1268 (save-excursion
1269 (unless (and arg (> (abs arg) 0))
1270 (setq calc-stack nil))
1271 (setq calc-undo-list nil
1272 calc-redo-list nil)
1273 (let (calc-stack calc-user-parse-tables calc-standard-date-formats
1274 calc-invocation-macro)
1275 (mapcar (function (lambda (v) (set v nil))) calc-local-var-list)
1276 (if (and arg (<= arg 0))
1277 (calc-mode-var-list-restore-default-values)
1278 (calc-mode-var-list-restore-saved-values)))
1279 (calc-set-language nil nil t)
1280 (calc-mode)
1281 (calc-flush-caches t)
1282 (run-hooks 'calc-reset-hook))
1283 (calc-wrapper
1284 (let ((win (get-buffer-window (current-buffer))))
1285 (calc-realign 0)
1286 ;; Adjust the window height if the window is visible, but doesn't
1287 ;; take up the whole height of the frame.
1288 (if (and
1289 win
1290 (< (window-height win) (1- (frame-height))))
1291 (let ((height (- (window-height win) 2)))
1292 (set-window-point win (point))
1293 (or (= height calc-window-height)
1294 (let ((swin (selected-window)))
1295 (select-window win)
1296 (enlarge-window (- calc-window-height height))
1297 (select-window swin)))))))
1298 (message "(Calculator reset)"))
1299 (t
1300 (message "(Not inside a Calc buffer)"))))
1301
1302 ;; What a pain; scroll-left behaves differently when called non-interactively.
1303 (defun calc-scroll-left (n)
1304 (interactive "P")
1305 (setq prefix-arg (or n (/ (window-width) 2)))
1306 (call-interactively #'scroll-left))
1307
1308 (defun calc-scroll-right (n)
1309 (interactive "P")
1310 (setq prefix-arg (or n (/ (window-width) 2)))
1311 (call-interactively #'scroll-right))
1312
1313 (defun calc-scroll-up (n)
1314 (interactive "P")
1315 (condition-case err
1316 (scroll-up (or n (/ (window-height) 2)))
1317 (error nil))
1318 (if (pos-visible-in-window-p (max 1 (- (point-max) 2)))
1319 (if (eq major-mode 'calc-mode)
1320 (calc-realign)
1321 (goto-char (point-max))
1322 (set-window-start (selected-window)
1323 (save-excursion
1324 (forward-line (- (1- (window-height))))
1325 (point)))
1326 (forward-line -1))))
1327
1328 (defun calc-scroll-down (n)
1329 (interactive "P")
1330 (or (pos-visible-in-window-p 1)
1331 (scroll-down (or n (/ (window-height) 2)))))
1332
1333
1334 (defun calc-precision (n)
1335 (interactive "NPrecision: ")
1336 (calc-wrapper
1337 (if (< (prefix-numeric-value n) 3)
1338 (error "Precision must be at least 3 digits")
1339 (calc-change-mode 'calc-internal-prec (prefix-numeric-value n)
1340 (and (memq (car calc-float-format) '(float sci eng))
1341 (< (nth 1 calc-float-format)
1342 (if (= calc-number-radix 10) 0 1))))
1343 (calc-record calc-internal-prec "prec"))
1344 (message "Floating-point precision is %d digits" calc-internal-prec)))
1345
1346
1347 (defun calc-inverse (&optional n)
1348 (interactive "P")
1349 (let* ((hyp-flag (if (or
1350 (eq major-mode 'calc-keypad-mode)
1351 (eq major-mode 'calc-trail-mode))
1352 (with-current-buffer calc-main-buffer
1353 calc-hyperbolic-flag)
1354 calc-hyperbolic-flag))
1355 (msg (if hyp-flag
1356 "Inverse Hyperbolic..."
1357 "Inverse...")))
1358 (calc-fancy-prefix 'calc-inverse-flag msg n)))
1359
1360 (defconst calc-fancy-prefix-map
1361 (let ((map (make-sparse-keymap)))
1362 (define-key map [t] 'calc-fancy-prefix-other-key)
1363 (define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key)
1364 (define-key map [switch-frame] nil)
1365 (define-key map [?\C-u] 'universal-argument)
1366 (define-key map [?0] 'digit-argument)
1367 (define-key map [?1] 'digit-argument)
1368 (define-key map [?2] 'digit-argument)
1369 (define-key map [?3] 'digit-argument)
1370 (define-key map [?4] 'digit-argument)
1371 (define-key map [?5] 'digit-argument)
1372 (define-key map [?6] 'digit-argument)
1373 (define-key map [?7] 'digit-argument)
1374 (define-key map [?8] 'digit-argument)
1375 (define-key map [?9] 'digit-argument)
1376 map)
1377 "Keymap used while processing calc-fancy-prefix.")
1378
1379 (defvar calc-is-keypad-press nil)
1380 (defun calc-fancy-prefix (flag msg n)
1381 (let (prefix)
1382 (calc-wrapper
1383 (calc-set-command-flag 'keep-flags)
1384 (calc-set-command-flag 'no-align)
1385 (setq prefix (set flag (not (symbol-value flag)))
1386 prefix-arg n)
1387 (message (if prefix msg "")))
1388 (and prefix
1389 (not calc-is-keypad-press)
1390 (if (boundp 'overriding-terminal-local-map)
1391 (setq overriding-terminal-local-map calc-fancy-prefix-map)
1392 (let ((event (calc-read-key t)))
1393 (if (eq (setq last-command-char (car event)) ?\C-u)
1394 (universal-argument)
1395 (if (or (not (integerp last-command-char))
1396 (and (>= last-command-char 0) (< last-command-char ? )
1397 (not (memq last-command-char '(?\e)))))
1398 (calc-wrapper)) ; clear flags if not a Calc command.
1399 (setq last-command-event (cdr event))
1400 (if (or (not (integerp last-command-char))
1401 (eq last-command-char ?-))
1402 (calc-unread-command)
1403 (digit-argument n))))))))
1404
1405 (defun calc-fancy-prefix-other-key (arg)
1406 (interactive "P")
1407 (if (and
1408 (not (eq last-command-char 'tab))
1409 (not (eq last-command-char 'M-tab))
1410 (or (not (integerp last-command-char))
1411 (and (>= last-command-char 0) (< last-command-char ? )
1412 (not (eq last-command-char meta-prefix-char)))))
1413 (calc-wrapper)) ; clear flags if not a Calc command.
1414 (setq prefix-arg arg)
1415 (calc-unread-command)
1416 (setq overriding-terminal-local-map nil))
1417
1418 (defun calc-invert-func ()
1419 (save-excursion
1420 (calc-select-buffer)
1421 (setq calc-inverse-flag (not (calc-is-inverse))
1422 calc-hyperbolic-flag (calc-is-hyperbolic)
1423 current-prefix-arg nil)))
1424
1425 (defun calc-is-inverse ()
1426 calc-inverse-flag)
1427
1428 (defun calc-hyperbolic (&optional n)
1429 (interactive "P")
1430 (let* ((inv-flag (if (or
1431 (eq major-mode 'calc-keypad-mode)
1432 (eq major-mode 'calc-trail-mode))
1433 (with-current-buffer calc-main-buffer
1434 calc-inverse-flag)
1435 calc-inverse-flag))
1436 (msg (if inv-flag
1437 "Inverse Hyperbolic..."
1438 "Hyperbolic...")))
1439 (calc-fancy-prefix 'calc-hyperbolic-flag msg n)))
1440
1441 (defun calc-hyperbolic-func ()
1442 (save-excursion
1443 (calc-select-buffer)
1444 (setq calc-inverse-flag (calc-is-inverse)
1445 calc-hyperbolic-flag (not (calc-is-hyperbolic))
1446 current-prefix-arg nil)))
1447
1448 (defun calc-is-hyperbolic ()
1449 calc-hyperbolic-flag)
1450
1451 (defun calc-keep-args (&optional n)
1452 (interactive "P")
1453 (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
1454
1455
1456 (defun calc-change-mode (var value &optional refresh option)
1457 (if option
1458 (setq value (if value
1459 (> (prefix-numeric-value value) 0)
1460 (not (symbol-value var)))))
1461 (or (consp var) (setq var (list var) value (list value)))
1462 (if calc-inverse-flag
1463 (let ((old nil))
1464 (or refresh (error "Not a display-mode command"))
1465 (calc-check-stack 1)
1466 (unwind-protect
1467 (let ((v var))
1468 (while v
1469 (setq old (cons (symbol-value (car v)) old))
1470 (set (car v) (car value))
1471 (setq v (cdr v)
1472 value (cdr value)))
1473 (calc-refresh-top 1)
1474 (calc-refresh-evaltos)
1475 (symbol-value (car var)))
1476 (let ((v var))
1477 (setq old (nreverse old))
1478 (while v
1479 (set (car v) (car old))
1480 (setq v (cdr v)
1481 old (cdr old)))
1482 (if (eq (car var) 'calc-language)
1483 (calc-set-language calc-language calc-language-option t)))))
1484 (let ((chg nil)
1485 (v var))
1486 (while v
1487 (or (equal (symbol-value (car v)) (car value))
1488 (progn
1489 (set (car v) (car value))
1490 (if (eq (car v) 'calc-float-format)
1491 (setq calc-full-float-format
1492 (list (if (eq (car (car value)) 'fix)
1493 'float
1494 (car (car value)))
1495 0)))
1496 (setq chg t)))
1497 (setq v (cdr v)
1498 value (cdr value)))
1499 (if chg
1500 (progn
1501 (or (and refresh (calc-do-refresh))
1502 (calc-refresh-evaltos))
1503 (and (eq calc-mode-save-mode 'save)
1504 (not (equal var '(calc-mode-save-mode)))
1505 (calc-save-modes))))
1506 (if calc-embedded-info (calc-embedded-modes-change var))
1507 (symbol-value (car var)))))
1508
1509 (defun calc-toggle-banner ()
1510 "Toggle display of the friendly greeting calc normally shows above the stack."
1511 (interactive)
1512 (setq calc-show-banner (not calc-show-banner))
1513 (calc-refresh))
1514
1515 (defun calc-refresh-top (n)
1516 (interactive "p")
1517 (calc-wrapper
1518 (cond ((< n 0)
1519 (setq n (- n))
1520 (let ((entry (calc-top n 'entry))
1521 (calc-undo-list nil) (calc-redo-list nil))
1522 (calc-pop-stack 1 n t)
1523 (calc-push-list (list (car entry)) n (list (nth 2 entry)))))
1524 ((= n 0)
1525 (calc-refresh))
1526 (t
1527 (let ((entries (calc-top-list n 1 'entry))
1528 (calc-undo-list nil) (calc-redo-list nil))
1529 (calc-pop-stack n 1 t)
1530 (calc-push-list (mapcar 'car entries)
1531 1
1532 (mapcar (function (lambda (x) (nth 2 x)))
1533 entries)))))))
1534
1535 (defvar calc-refreshing-evaltos nil)
1536 (defvar calc-no-refresh-evaltos nil)
1537 (defun calc-refresh-evaltos (&optional which-var)
1538 (and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos)
1539 (let ((calc-refreshing-evaltos t)
1540 (num (calc-stack-size))
1541 (calc-undo-list nil) (calc-redo-list nil)
1542 value new-val)
1543 (while (> num 0)
1544 (setq value (calc-top num 'entry))
1545 (if (and (not (nth 2 value))
1546 (setq value (car value))
1547 (or (eq (car-safe value) 'calcFunc-evalto)
1548 (and (eq (car-safe value) 'vec)
1549 (eq (car-safe (nth 1 value)) 'calcFunc-evalto))))
1550 (progn
1551 (setq new-val (math-normalize value))
1552 (or (equal new-val value)
1553 (progn
1554 (calc-push-list (list new-val) num)
1555 (calc-pop-stack 1 (1+ num) t)))))
1556 (setq num (1- num)))))
1557 (and calc-embedded-active which-var
1558 (calc-embedded-var-change which-var)))
1559
1560 (defun calc-push (&rest vals)
1561 (calc-push-list vals))
1562
1563 (defun calc-pop-push (n &rest vals)
1564 (calc-pop-push-list n vals))
1565
1566 (defun calc-pop-push-record (n prefix &rest vals)
1567 (calc-pop-push-record-list n prefix vals))
1568
1569
1570 (defun calc-evaluate (n)
1571 (interactive "p")
1572 (calc-slow-wrapper
1573 (if (= n 0)
1574 (setq n (calc-stack-size)))
1575 (calc-with-default-simplification
1576 (if (< n 0)
1577 (calc-pop-push-record-list 1 "eval"
1578 (math-evaluate-expr (calc-top (- n)))
1579 (- n))
1580 (calc-pop-push-record-list n "eval" (mapcar 'math-evaluate-expr
1581 (calc-top-list n)))))
1582 (calc-handle-whys)))
1583
1584
1585 (defun calc-eval-num (n)
1586 (interactive "P")
1587 (calc-slow-wrapper
1588 (let* ((nn (prefix-numeric-value n))
1589 (calc-internal-prec (cond ((>= nn 3) nn)
1590 ((< nn 0) (max (+ calc-internal-prec nn)
1591 3))
1592 (t calc-internal-prec)))
1593 (calc-symbolic-mode nil))
1594 (calc-with-default-simplification
1595 (calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1)))))
1596 (calc-handle-whys)))
1597
1598
1599 (defun calc-execute-extended-command (n)
1600 (interactive "P")
1601 (let* ((prompt (concat (calc-num-prefix-name n) "M-x "))
1602 (cmd (intern (completing-read prompt obarray 'commandp t "calc-"))))
1603 (setq prefix-arg n)
1604 (command-execute cmd)))
1605
1606
1607 (defun calc-realign (&optional num)
1608 (interactive "P")
1609 (if (and num (eq major-mode 'calc-mode))
1610 (progn
1611 (calc-check-stack num)
1612 (calc-cursor-stack-index num)
1613 (and calc-line-numbering
1614 (forward-char 4)))
1615 (if (and calc-embedded-info
1616 (eq (current-buffer) (aref calc-embedded-info 0)))
1617 (progn
1618 (goto-char (aref calc-embedded-info 2))
1619 (if (save-excursion (set-buffer (aref calc-embedded-info 1))
1620 calc-show-plain)
1621 (forward-line 1)))
1622 (calc-wrapper
1623 (if (get-buffer-window (current-buffer))
1624 (set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
1625
1626 (defvar math-cache-list nil)
1627
1628 (defun calc-var-value (v)
1629 (and (symbolp v)
1630 (boundp v)
1631 (symbol-value v)
1632 (if (symbolp (symbol-value v))
1633 (set v (funcall (symbol-value v)))
1634 (if (stringp (symbol-value v))
1635 (let ((val (math-read-expr (symbol-value v))))
1636 (if (eq (car-safe val) 'error)
1637 (error "Bad format in variable contents: %s" (nth 2 val))
1638 (set v val)))
1639 (symbol-value v)))))
1640
1641 ;;; In the following table, ( OP LOPS ROPS ) means that if an OP
1642 ;;; term appears as the first argument to any LOPS term, or as the
1643 ;;; second argument to any ROPS term, then they should be treated
1644 ;;; as one large term for purposes of associative selection.
1645 (defconst calc-assoc-ops '( ( + ( + - ) ( + ) )
1646 ( - ( + - ) ( + ) )
1647 ( * ( * ) ( * ) )
1648 ( / ( / ) ( ) )
1649 ( | ( | ) ( | ) )
1650 ( calcFunc-land ( calcFunc-land )
1651 ( calcFunc-land ) )
1652 ( calcFunc-lor ( calcFunc-lor )
1653 ( calcFunc-lor ) ) ))
1654
1655
1656 (defvar var-CommuteRules 'calc-CommuteRules)
1657 (defvar var-JumpRules 'calc-JumpRules)
1658 (defvar var-DistribRules 'calc-DistribRules)
1659 (defvar var-MergeRules 'calc-MergeRules)
1660 (defvar var-NegateRules 'calc-NegateRules)
1661 (defvar var-InvertRules 'calc-InvertRules)
1662
1663
1664 (defconst calc-tweak-eqn-table '( ( calcFunc-eq calcFunc-eq calcFunc-neq )
1665 ( calcFunc-neq calcFunc-neq calcFunc-eq )
1666 ( calcFunc-lt calcFunc-gt calcFunc-geq )
1667 ( calcFunc-gt calcFunc-lt calcFunc-leq )
1668 ( calcFunc-leq calcFunc-geq calcFunc-gt )
1669 ( calcFunc-geq calcFunc-leq calcFunc-lt ) ))
1670
1671
1672
1673
1674 (defun calc-float (arg)
1675 (interactive "P")
1676 (calc-slow-wrapper
1677 (calc-unary-op "flt"
1678 (if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat)
1679 arg)))
1680
1681
1682 (defvar calc-gnuplot-process nil)
1683 (defvar calc-gnuplot-input)
1684 (defvar calc-gnuplot-buffer)
1685
1686 (defun calc-gnuplot-alive ()
1687 (and calc-gnuplot-process
1688 calc-gnuplot-buffer
1689 (buffer-name calc-gnuplot-buffer)
1690 calc-gnuplot-input
1691 (buffer-name calc-gnuplot-input)
1692 (memq (process-status calc-gnuplot-process) '(run stop))))
1693
1694
1695
1696
1697
1698 (defun calc-load-everything ()
1699 (interactive)
1700 (require 'calc-aent)
1701 (require 'calc-alg)
1702 (require 'calc-arith)
1703 (require 'calc-bin)
1704 (require 'calc-comb)
1705 (require 'calc-cplx)
1706 (require 'calc-embed)
1707 (require 'calc-fin)
1708 (require 'calc-forms)
1709 (require 'calc-frac)
1710 (require 'calc-funcs)
1711 (require 'calc-graph)
1712 (require 'calc-help)
1713 (require 'calc-incom)
1714 (require 'calc-keypd)
1715 (require 'calc-lang)
1716 (require 'calc-macs)
1717 (require 'calc-map)
1718 (require 'calc-math)
1719 (require 'calc-misc)
1720 (require 'calc-mode)
1721 (require 'calc-mtx)
1722 (require 'calc-poly)
1723 (require 'calc-prog)
1724 (require 'calc-rewr)
1725 (require 'calc-rules)
1726 (require 'calc-sel)
1727 (require 'calc-stat)
1728 (require 'calc-store)
1729 (require 'calc-stuff)
1730 (require 'calc-trail)
1731 (require 'calc-undo)
1732 (require 'calc-units)
1733 (require 'calc-vec)
1734 (require 'calc-yank)
1735 (require 'calcalg2)
1736 (require 'calcalg3)
1737 (require 'calccomp)
1738 (require 'calcsel2)
1739
1740 (message "All parts of Calc are now loaded"))
1741
1742
1743 ;;; Vector commands.
1744
1745 (defun calc-concat (arg)
1746 (interactive "P")
1747 (calc-wrapper
1748 (if (calc-is-inverse)
1749 (if (calc-is-hyperbolic)
1750 (calc-enter-result 2 "apnd" (list 'calcFunc-append
1751 (calc-top 1) (calc-top 2)))
1752 (calc-enter-result 2 "|" (list 'calcFunc-vconcat
1753 (calc-top 1) (calc-top 2))))
1754 (if (calc-is-hyperbolic)
1755 (calc-binary-op "apnd" 'calcFunc-append arg '(vec))
1756 (calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|)))))
1757
1758 (defun calc-append (arg)
1759 (interactive "P")
1760 (calc-hyperbolic-func)
1761 (calc-concat arg))
1762
1763
1764 (defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB )
1765 ( var ArgC var-ArgC ) ( var ArgD var-ArgD )
1766 ( var ArgE var-ArgE ) ( var ArgF var-ArgF )
1767 ( var ArgG var-ArgG ) ( var ArgH var-ArgH )
1768 ( var ArgI var-ArgI ) ( var ArgJ var-ArgJ )
1769 ))
1770
1771 (defun calc-invent-args (n)
1772 (nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values))))
1773
1774
1775
1776
1777 ;;; User menu.
1778
1779 (defun calc-user-key-map ()
1780 (if calc-emacs-type-lucid
1781 (error "User-defined keys are not supported in Lucid Emacs"))
1782 (let ((res (cdr (lookup-key calc-mode-map "z"))))
1783 (if (eq (car (car res)) 27)
1784 (cdr res)
1785 res)))
1786
1787 (defvar calc-z-prefix-buf nil)
1788 (defvar calc-z-prefix-msgs nil)
1789
1790 (defun calc-z-prefix-help ()
1791 (interactive)
1792 (let* ((calc-z-prefix-msgs nil)
1793 (calc-z-prefix-buf "")
1794 (kmap (sort (copy-sequence (calc-user-key-map))
1795 (function (lambda (x y) (< (car x) (car y))))))
1796 (flags (apply 'logior
1797 (mapcar (function
1798 (lambda (k)
1799 (calc-user-function-classify (car k))))
1800 kmap))))
1801 (if (= (logand flags 8) 0)
1802 (calc-user-function-list kmap 7)
1803 (calc-user-function-list kmap 1)
1804 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)
1805 calc-z-prefix-buf "")
1806 (calc-user-function-list kmap 6))
1807 (if (/= flags 0)
1808 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)))
1809 (calc-do-prefix-help (nreverse calc-z-prefix-msgs) "user" ?z)))
1810
1811 (defun calc-user-function-classify (key)
1812 (cond ((/= key (downcase key)) ; upper-case
1813 (if (assq (downcase key) (calc-user-key-map)) 9 1))
1814 ((/= key (upcase key)) 2) ; lower-case
1815 ((= key ??) 0)
1816 (t 4))) ; other
1817
1818 (defun calc-user-function-list (map flags)
1819 (and map
1820 (let* ((key (car (car map)))
1821 (kind (calc-user-function-classify key))
1822 (func (cdr (car map))))
1823 (if (or (= (logand kind flags) 0)
1824 (not (symbolp func)))
1825 ()
1826 (let* ((name (symbol-name func))
1827 (name (if (string-match "\\`calc-" name)
1828 (substring name 5) name))
1829 (pos (string-match (char-to-string key) name))
1830 (desc
1831 (if (symbolp func)
1832 (if (= (logand kind 3) 0)
1833 (format "`%c' = %s" key name)
1834 (if pos
1835 (format "%s%c%s"
1836 (downcase (substring name 0 pos))
1837 (upcase key)
1838 (downcase (substring name (1+ pos))))
1839 (format "%c = %s"
1840 (upcase key)
1841 (downcase name))))
1842 (char-to-string (upcase key)))))
1843 (if (= (length calc-z-prefix-buf) 0)
1844 (setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1845 desc))
1846 (if (> (+ (length calc-z-prefix-buf) (length desc)) 58)
1847 (setq calc-z-prefix-msgs
1848 (cons calc-z-prefix-buf calc-z-prefix-msgs)
1849 calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1850 desc))
1851 (setq calc-z-prefix-buf (concat calc-z-prefix-buf ", " desc))))))
1852 (calc-user-function-list (cdr map) flags))))
1853
1854
1855
1856 (defun calc-shift-Z-prefix-help ()
1857 (interactive)
1858 (calc-do-prefix-help
1859 '("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn"
1860 "Composition, Syntax; Invocation; Permanent; Timing"
1861 "kbd-macros: [ (if), : (else), | (else-if), ] (end-if)"
1862 "kbd-macros: < > (repeat), ( ) (for), { } (loop)"
1863 "kbd-macros: / (break)"
1864 "kbd-macros: ` (save), ' (restore)")
1865 "user" ?Z))
1866
1867
1868 ;;;; Caches.
1869
1870 (defmacro math-defcache (name init form)
1871 (let ((cache-prec (intern (concat (symbol-name name) "-cache-prec")))
1872 (cache-val (intern (concat (symbol-name name) "-cache")))
1873 (last-prec (intern (concat (symbol-name name) "-last-prec")))
1874 (last-val (intern (concat (symbol-name name) "-last"))))
1875 (list 'progn
1876 (list 'defvar cache-prec (if init (math-numdigs (nth 1 init)) -100))
1877 (list 'defvar cache-val (list 'quote init))
1878 (list 'defvar last-prec -100)
1879 (list 'defvar last-val nil)
1880 (list 'setq 'math-cache-list
1881 (list 'cons
1882 (list 'quote cache-prec)
1883 (list 'cons
1884 (list 'quote last-prec)
1885 'math-cache-list)))
1886 (list 'defun
1887 name ()
1888 (list 'or
1889 (list '= last-prec 'calc-internal-prec)
1890 (list 'setq
1891 last-val
1892 (list 'math-normalize
1893 (list 'progn
1894 (list 'or
1895 (list '>= cache-prec
1896 'calc-internal-prec)
1897 (list 'setq
1898 cache-val
1899 (list 'let
1900 '((calc-internal-prec
1901 (+ calc-internal-prec
1902 4)))
1903 form)
1904 cache-prec
1905 '(+ calc-internal-prec 2)))
1906 cache-val))
1907 last-prec 'calc-internal-prec))
1908 last-val))))
1909 (put 'math-defcache 'lisp-indent-hook 2)
1910
1911 ;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public]
1912 (math-defcache math-pi (float (bigpos 463 238 793 589 653 592 141 3) -21)
1913 (math-add-float (math-mul-float '(float 16 0)
1914 (math-arctan-raw '(float 2 -1)))
1915 (math-mul-float '(float -4 0)
1916 (math-arctan-raw
1917 (math-float '(frac 1 239))))))
1918
1919 (math-defcache math-two-pi nil
1920 (math-mul-float (math-pi) '(float 2 0)))
1921
1922 (math-defcache math-pi-over-2 nil
1923 (math-mul-float (math-pi) '(float 5 -1)))
1924
1925 (math-defcache math-pi-over-4 nil
1926 (math-mul-float (math-pi) '(float 25 -2)))
1927
1928 (math-defcache math-pi-over-180 nil
1929 (math-div-float (math-pi) '(float 18 1)))
1930
1931 (math-defcache math-sqrt-pi nil
1932 (math-sqrt-float (math-pi)))
1933
1934 (math-defcache math-sqrt-2 nil
1935 (math-sqrt-float '(float 2 0)))
1936
1937 (math-defcache math-sqrt-12 nil
1938 (math-sqrt-float '(float 12 0)))
1939
1940 (math-defcache math-sqrt-two-pi nil
1941 (math-sqrt-float (math-two-pi)))
1942
1943 (math-defcache math-sqrt-e (float (bigpos 849 146 128 700 270 721 648 1) -21)
1944 (math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
1945
1946 (math-defcache math-e nil
1947 (math-pow (math-sqrt-e) 2))
1948
1949 (math-defcache math-phi nil
1950 (math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
1951 '(float 5 -1)))
1952
1953 (math-defcache math-gamma-const nil
1954 '(float (bigpos 495 467 917 632 470 369 709 646 776 267 677 848 348 672
1955 057 988 235 399 359 593 421 310 024 824 900 120 065 606
1956 328 015 649 156 772 5) -100))
1957
1958 (defun math-half-circle (symb)
1959 (if (eq calc-angle-mode 'rad)
1960 (if symb
1961 '(var pi var-pi)
1962 (math-pi))
1963 180))
1964
1965 (defun math-full-circle (symb)
1966 (math-mul 2 (math-half-circle symb)))
1967
1968 (defun math-quarter-circle (symb)
1969 (math-div (math-half-circle symb) 2))
1970
1971 (defvar math-expand-formulas nil)
1972
1973 ;;;; Miscellaneous math routines.
1974
1975 ;;; True if A is an odd integer. [P R R] [Public]
1976 (defun math-oddp (a)
1977 (if (consp a)
1978 (and (memq (car a) '(bigpos bigneg))
1979 (= (% (nth 1 a) 2) 1))
1980 (/= (% a 2) 0)))
1981
1982 ;;; True if A is a small or big integer. [P x] [Public]
1983 (defun math-integerp (a)
1984 (or (integerp a)
1985 (memq (car-safe a) '(bigpos bigneg))))
1986
1987 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
1988 (defun math-natnump (a)
1989 (or (natnump a)
1990 (eq (car-safe a) 'bigpos)))
1991
1992 ;;; True if A is a rational (or integer). [P x] [Public]
1993 (defun math-ratp (a)
1994 (or (integerp a)
1995 (memq (car-safe a) '(bigpos bigneg frac))))
1996
1997 ;;; True if A is a real (or rational). [P x] [Public]
1998 (defun math-realp (a)
1999 (or (integerp a)
2000 (memq (car-safe a) '(bigpos bigneg frac float))))
2001
2002 ;;; True if A is a real or HMS form. [P x] [Public]
2003 (defun math-anglep (a)
2004 (or (integerp a)
2005 (memq (car-safe a) '(bigpos bigneg frac float hms))))
2006
2007 ;;; True if A is a number of any kind. [P x] [Public]
2008 (defun math-numberp (a)
2009 (or (integerp a)
2010 (memq (car-safe a) '(bigpos bigneg frac float cplx polar))))
2011
2012 ;;; True if A is a complex number or angle. [P x] [Public]
2013 (defun math-scalarp (a)
2014 (or (integerp a)
2015 (memq (car-safe a) '(bigpos bigneg frac float cplx polar hms))))
2016
2017 ;;; True if A is a vector. [P x] [Public]
2018 (defun math-vectorp (a)
2019 (eq (car-safe a) 'vec))
2020
2021 ;;; True if A is any vector or scalar data object. [P x]
2022 (defun math-objvecp (a) ; [Public]
2023 (or (integerp a)
2024 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2025 hms date sdev intv mod vec incomplete))))
2026
2027 ;;; True if A is an object not composed of sub-formulas . [P x] [Public]
2028 (defun math-primp (a)
2029 (or (integerp a)
2030 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2031 hms date mod var))))
2032
2033 ;;; True if A is numerically (but not literally) an integer. [P x] [Public]
2034 (defun math-messy-integerp (a)
2035 (cond
2036 ((eq (car-safe a) 'float) (>= (nth 2 a) 0))
2037 ((eq (car-safe a) 'frac) (Math-integerp (math-normalize a)))))
2038
2039 ;;; True if A is numerically an integer. [P x] [Public]
2040 (defun math-num-integerp (a)
2041 (or (Math-integerp a)
2042 (Math-messy-integerp a)))
2043
2044 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2045 (defun math-num-natnump (a)
2046 (or (natnump a)
2047 (eq (car-safe a) 'bigpos)
2048 (and (eq (car-safe a) 'float)
2049 (Math-natnump (nth 1 a))
2050 (>= (nth 2 a) 0))))
2051
2052 ;;; True if A is an integer or will evaluate to an integer. [P x] [Public]
2053 (defun math-provably-integerp (a)
2054 (or (Math-integerp a)
2055 (and (memq (car-safe a) '(calcFunc-trunc
2056 calcFunc-round
2057 calcFunc-rounde
2058 calcFunc-roundu
2059 calcFunc-floor
2060 calcFunc-ceil))
2061 (= (length a) 2))))
2062
2063 ;;; True if A is a real or will evaluate to a real. [P x] [Public]
2064 (defun math-provably-realp (a)
2065 (or (Math-realp a)
2066 (math-provably-integer a)
2067 (memq (car-safe a) '(abs arg))))
2068
2069 ;;; True if A is a non-real, complex number. [P x] [Public]
2070 (defun math-complexp (a)
2071 (memq (car-safe a) '(cplx polar)))
2072
2073 ;;; True if A is a non-real, rectangular complex number. [P x] [Public]
2074 (defun math-rect-complexp (a)
2075 (eq (car-safe a) 'cplx))
2076
2077 ;;; True if A is a non-real, polar complex number. [P x] [Public]
2078 (defun math-polar-complexp (a)
2079 (eq (car-safe a) 'polar))
2080
2081 ;;; True if A is a matrix. [P x] [Public]
2082 (defun math-matrixp (a)
2083 (and (Math-vectorp a)
2084 (Math-vectorp (nth 1 a))
2085 (cdr (nth 1 a))
2086 (let ((len (length (nth 1 a))))
2087 (setq a (cdr a))
2088 (while (and (setq a (cdr a))
2089 (Math-vectorp (car a))
2090 (= (length (car a)) len)))
2091 (null a))))
2092
2093 (defun math-matrixp-step (a len) ; [P L]
2094 (or (null a)
2095 (and (Math-vectorp (car a))
2096 (= (length (car a)) len)
2097 (math-matrixp-step (cdr a) len))))
2098
2099 ;;; True if A is a square matrix. [P V] [Public]
2100 (defun math-square-matrixp (a)
2101 (let ((dims (math-mat-dimens a)))
2102 (and (cdr dims)
2103 (= (car dims) (nth 1 dims)))))
2104
2105 ;;; True if A is any scalar data object. [P x]
2106 (defun math-objectp (a) ; [Public]
2107 (or (integerp a)
2108 (memq (car-safe a) '(bigpos bigneg frac float cplx
2109 polar hms date sdev intv mod))))
2110
2111 ;;; Verify that A is an integer and return A in integer form. [I N; - x]
2112 (defun math-check-integer (a) ; [Public]
2113 (cond ((integerp a) a) ; for speed
2114 ((math-integerp a) a)
2115 ((math-messy-integerp a)
2116 (math-trunc a))
2117 (t (math-reject-arg a 'integerp))))
2118
2119 ;;; Verify that A is a small integer and return A in integer form. [S N; - x]
2120 (defun math-check-fixnum (a &optional allow-inf) ; [Public]
2121 (cond ((integerp a) a) ; for speed
2122 ((Math-num-integerp a)
2123 (let ((a (math-trunc a)))
2124 (if (integerp a)
2125 a
2126 (if (or (Math-lessp (lsh -1 -1) a)
2127 (Math-lessp a (- (lsh -1 -1))))
2128 (math-reject-arg a 'fixnump)
2129 (math-fixnum a)))))
2130 ((and allow-inf (equal a '(var inf var-inf)))
2131 (lsh -1 -1))
2132 ((and allow-inf (equal a '(neg (var inf var-inf))))
2133 (- (lsh -1 -1)))
2134 (t (math-reject-arg a 'fixnump))))
2135
2136 ;;; Verify that A is an integer >= 0 and return A in integer form. [I N; - x]
2137 (defun math-check-natnum (a) ; [Public]
2138 (cond ((natnump a) a)
2139 ((and (not (math-negp a))
2140 (Math-num-integerp a))
2141 (math-trunc a))
2142 (t (math-reject-arg a 'natnump))))
2143
2144 ;;; Verify that A is in floating-point form, or force it to be a float. [F N]
2145 (defun math-check-float (a) ; [Public]
2146 (cond ((eq (car-safe a) 'float) a)
2147 ((Math-vectorp a) (math-map-vec 'math-check-float a))
2148 ((Math-objectp a) (math-float a))
2149 (t a)))
2150
2151 ;;; Verify that A is a constant.
2152 (defun math-check-const (a &optional exp-ok)
2153 (if (or (math-constp a)
2154 (and exp-ok math-expand-formulas))
2155 a
2156 (math-reject-arg a 'constp)))
2157
2158
2159 ;;; Coerce integer A to be a small integer. [S I]
2160 (defun math-fixnum (a)
2161 (if (consp a)
2162 (if (cdr a)
2163 (if (eq (car a) 'bigneg)
2164 (- (math-fixnum-big (cdr a)))
2165 (math-fixnum-big (cdr a)))
2166 0)
2167 a))
2168
2169 (defun math-fixnum-big (a)
2170 (if (cdr a)
2171 (+ (car a) (* (math-fixnum-big (cdr a)) 1000))
2172 (car a)))
2173
2174 (defvar math-simplify-only nil)
2175
2176 (defun math-normalize-fancy (a)
2177 (cond ((eq (car a) 'frac)
2178 (math-make-frac (math-normalize (nth 1 a))
2179 (math-normalize (nth 2 a))))
2180 ((eq (car a) 'cplx)
2181 (let ((real (math-normalize (nth 1 a)))
2182 (imag (math-normalize (nth 2 a))))
2183 (if (and (math-zerop imag)
2184 (not math-simplify-only)) ; oh, what a kludge!
2185 real
2186 (list 'cplx real imag))))
2187 ((eq (car a) 'polar)
2188 (math-normalize-polar a))
2189 ((eq (car a) 'hms)
2190 (math-normalize-hms a))
2191 ((eq (car a) 'date)
2192 (list 'date (math-normalize (nth 1 a))))
2193 ((eq (car a) 'mod)
2194 (math-normalize-mod a))
2195 ((eq (car a) 'sdev)
2196 (let ((x (math-normalize (nth 1 a)))
2197 (s (math-normalize (nth 2 a))))
2198 (if (or (and (Math-objectp x) (not (Math-scalarp x)))
2199 (and (Math-objectp s) (not (Math-scalarp s))))
2200 (list 'calcFunc-sdev x s)
2201 (math-make-sdev x s))))
2202 ((eq (car a) 'intv)
2203 (let ((mask (math-normalize (nth 1 a)))
2204 (lo (math-normalize (nth 2 a)))
2205 (hi (math-normalize (nth 3 a))))
2206 (if (if (eq (car-safe lo) 'date)
2207 (not (eq (car-safe hi) 'date))
2208 (or (and (Math-objectp lo) (not (Math-anglep lo)))
2209 (and (Math-objectp hi) (not (Math-anglep hi)))))
2210 (list 'calcFunc-intv mask lo hi)
2211 (math-make-intv mask lo hi))))
2212 ((eq (car a) 'vec)
2213 (cons 'vec (mapcar 'math-normalize (cdr a))))
2214 ((eq (car a) 'quote)
2215 (math-normalize (nth 1 a)))
2216 ((eq (car a) 'special-const)
2217 (calc-with-default-simplification
2218 (math-normalize (nth 1 a))))
2219 ((eq (car a) 'var)
2220 (cons 'var (cdr a))) ; need to re-cons for selection routines
2221 ((eq (car a) 'calcFunc-if)
2222 (math-normalize-logical-op a))
2223 ((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition))
2224 (let ((calc-simplify-mode 'none))
2225 (cons (car a) (mapcar 'math-normalize (cdr a)))))
2226 ((eq (car a) 'calcFunc-evalto)
2227 (setq a (or (nth 1 a) 0))
2228 (or calc-refreshing-evaltos
2229 (setq a (let ((calc-simplify-mode 'none)) (math-normalize a))))
2230 (let ((b (if (and (eq (car-safe a) 'calcFunc-assign)
2231 (= (length a) 3))
2232 (nth 2 a)
2233 a)))
2234 (list 'calcFunc-evalto
2235 a
2236 (if (eq calc-simplify-mode 'none)
2237 (math-normalize b)
2238 (calc-with-default-simplification
2239 (math-evaluate-expr b))))))
2240 ((or (integerp (car a)) (consp (car a)))
2241 (if (null (cdr a))
2242 (math-normalize (car a))
2243 (error "Can't use multi-valued function in an expression")))))
2244
2245 ;; The variable math-normalize-a is local to math-normalize in calc.el,
2246 ;; but is used by math-normalize-nonstandard, which is called by
2247 ;; math-normalize.
2248 (defvar math-normalize-a)
2249
2250 (defun math-normalize-nonstandard ()
2251 (if (consp calc-simplify-mode)
2252 (progn
2253 (setq calc-simplify-mode 'none
2254 math-simplify-only (car-safe (cdr-safe math-normalize-a)))
2255 nil)
2256 (and (symbolp (car math-normalize-a))
2257 (or (eq calc-simplify-mode 'none)
2258 (and (eq calc-simplify-mode 'num)
2259 (let ((aptr (setq math-normalize-a
2260 (cons
2261 (car math-normalize-a)
2262 (mapcar 'math-normalize
2263 (cdr math-normalize-a))))))
2264 (while (and aptr (math-constp (car aptr)))
2265 (setq aptr (cdr aptr)))
2266 aptr)))
2267 (cons (car math-normalize-a)
2268 (mapcar 'math-normalize (cdr math-normalize-a))))))
2269
2270
2271 ;;; Normalize a bignum digit list by trimming high-end zeros. [L l]
2272 (defun math-norm-bignum (a)
2273 (let ((digs a) (last nil))
2274 (while digs
2275 (or (eq (car digs) 0) (setq last digs))
2276 (setq digs (cdr digs)))
2277 (and last
2278 (progn
2279 (setcdr last nil)
2280 a))))
2281
2282 (defun math-bignum-test (a) ; [B N; B s; b b]
2283 (if (consp a)
2284 a
2285 (math-bignum a)))
2286
2287
2288 ;;; Return 0 for zero, -1 for negative, 1 for positive. [S n] [Public]
2289 (defun calcFunc-sign (a &optional x)
2290 (let ((signs (math-possible-signs a)))
2291 (cond ((eq signs 4) (or x 1))
2292 ((eq signs 2) 0)
2293 ((eq signs 1) (if x (math-neg x) -1))
2294 ((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a))))
2295 (t (calc-record-why 'realp a)
2296 (if x
2297 (list 'calcFunc-sign a x)
2298 (list 'calcFunc-sign a))))))
2299
2300 ;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more.
2301 ;;; Arguments must be normalized! [S N N]
2302 (defun math-compare (a b)
2303 (cond ((equal a b)
2304 (if (and (consp a)
2305 (memq (car a) '(var neg * /))
2306 (math-infinitep a))
2307 2
2308 0))
2309 ((and (integerp a) (Math-integerp b))
2310 (if (consp b)
2311 (if (eq (car b) 'bigpos) -1 1)
2312 (if (< a b) -1 1)))
2313 ((and (eq (car-safe a) 'bigpos) (Math-integerp b))
2314 (if (eq (car-safe b) 'bigpos)
2315 (math-compare-bignum (cdr a) (cdr b))
2316 1))
2317 ((and (eq (car-safe a) 'bigneg) (Math-integerp b))
2318 (if (eq (car-safe b) 'bigneg)
2319 (math-compare-bignum (cdr b) (cdr a))
2320 -1))
2321 ((eq (car-safe a) 'frac)
2322 (if (eq (car-safe b) 'frac)
2323 (math-compare (math-mul (nth 1 a) (nth 2 b))
2324 (math-mul (nth 1 b) (nth 2 a)))
2325 (math-compare (nth 1 a) (math-mul b (nth 2 a)))))
2326 ((eq (car-safe b) 'frac)
2327 (math-compare (math-mul a (nth 2 b)) (nth 1 b)))
2328 ((and (eq (car-safe a) 'float) (eq (car-safe b) 'float))
2329 (if (math-lessp-float a b) -1 1))
2330 ((and (eq (car-safe a) 'date) (eq (car-safe b) 'date))
2331 (math-compare (nth 1 a) (nth 1 b)))
2332 ((and (or (Math-anglep a)
2333 (and (eq (car a) 'cplx) (eq (nth 2 a) 0)))
2334 (or (Math-anglep b)
2335 (and (eq (car b) 'cplx) (eq (nth 2 b) 0))))
2336 (calcFunc-sign (math-add a (math-neg b))))
2337 ((and (eq (car-safe a) 'intv)
2338 (or (Math-anglep b) (eq (car-safe b) 'date)))
2339 (let ((res (math-compare (nth 2 a) b)))
2340 (cond ((eq res 1) 1)
2341 ((and (eq res 0) (memq (nth 1 a) '(0 1))) 1)
2342 ((eq (setq res (math-compare (nth 3 a) b)) -1) -1)
2343 ((and (eq res 0) (memq (nth 1 a) '(0 2))) -1)
2344 (t 2))))
2345 ((and (eq (car-safe b) 'intv)
2346 (or (Math-anglep a) (eq (car-safe a) 'date)))
2347 (let ((res (math-compare a (nth 2 b))))
2348 (cond ((eq res -1) -1)
2349 ((and (eq res 0) (memq (nth 1 b) '(0 1))) -1)
2350 ((eq (setq res (math-compare a (nth 3 b))) 1) 1)
2351 ((and (eq res 0) (memq (nth 1 b) '(0 2))) 1)
2352 (t 2))))
2353 ((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv))
2354 (let ((res (math-compare (nth 3 a) (nth 2 b))))
2355 (cond ((eq res -1) -1)
2356 ((and (eq res 0) (or (memq (nth 1 a) '(0 2))
2357 (memq (nth 1 b) '(0 1)))) -1)
2358 ((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1)
2359 ((and (eq res 0) (or (memq (nth 1 a) '(0 1))
2360 (memq (nth 1 b) '(0 2)))) 1)
2361 (t 2))))
2362 ((math-infinitep a)
2363 (if (or (equal a '(var uinf var-uinf))
2364 (equal a '(var nan var-nan)))
2365 2
2366 (let ((dira (math-infinite-dir a)))
2367 (if (math-infinitep b)
2368 (if (or (equal b '(var uinf var-uinf))
2369 (equal b '(var nan var-nan)))
2370 2
2371 (let ((dirb (math-infinite-dir b)))
2372 (cond ((and (eq dira 1) (eq dirb -1)) 1)
2373 ((and (eq dira -1) (eq dirb 1)) -1)
2374 (t 2))))
2375 (cond ((eq dira 1) 1)
2376 ((eq dira -1) -1)
2377 (t 2))))))
2378 ((math-infinitep b)
2379 (if (or (equal b '(var uinf var-uinf))
2380 (equal b '(var nan var-nan)))
2381 2
2382 (let ((dirb (math-infinite-dir b)))
2383 (cond ((eq dirb 1) -1)
2384 ((eq dirb -1) 1)
2385 (t 2)))))
2386 ((and (eq (car-safe a) 'calcFunc-exp)
2387 (eq (car-safe b) '^)
2388 (equal (nth 1 b) '(var e var-e)))
2389 (math-compare (nth 1 a) (nth 2 b)))
2390 ((and (eq (car-safe b) 'calcFunc-exp)
2391 (eq (car-safe a) '^)
2392 (equal (nth 1 a) '(var e var-e)))
2393 (math-compare (nth 2 a) (nth 1 b)))
2394 ((or (and (eq (car-safe a) 'calcFunc-sqrt)
2395 (eq (car-safe b) '^)
2396 (or (equal (nth 2 b) '(frac 1 2))
2397 (equal (nth 2 b) '(float 5 -1))))
2398 (and (eq (car-safe b) 'calcFunc-sqrt)
2399 (eq (car-safe a) '^)
2400 (or (equal (nth 2 a) '(frac 1 2))
2401 (equal (nth 2 a) '(float 5 -1)))))
2402 (math-compare (nth 1 a) (nth 1 b)))
2403 ((eq (car-safe a) 'var)
2404 2)
2405 (t
2406 (if (and (consp a) (consp b)
2407 (eq (car a) (car b))
2408 (math-compare-lists (cdr a) (cdr b)))
2409 0
2410 2))))
2411
2412 ;;; Compare two bignum digit lists, return -1 for A<B, 0 for A=B, 1 for A>B.
2413 (defun math-compare-bignum (a b) ; [S l l]
2414 (let ((res 0))
2415 (while (and a b)
2416 (if (< (car a) (car b))
2417 (setq res -1)
2418 (if (> (car a) (car b))
2419 (setq res 1)))
2420 (setq a (cdr a)
2421 b (cdr b)))
2422 (if a
2423 (progn
2424 (while (eq (car a) 0) (setq a (cdr a)))
2425 (if a 1 res))
2426 (while (eq (car b) 0) (setq b (cdr b)))
2427 (if b -1 res))))
2428
2429 (defun math-compare-lists (a b)
2430 (cond ((null a) (null b))
2431 ((null b) nil)
2432 (t (and (Math-equal (car a) (car b))
2433 (math-compare-lists (cdr a) (cdr b))))))
2434
2435 (defun math-lessp-float (a b) ; [P F F]
2436 (let ((ediff (- (nth 2 a) (nth 2 b))))
2437 (if (>= ediff 0)
2438 (if (>= ediff (+ calc-internal-prec calc-internal-prec))
2439 (if (eq (nth 1 a) 0)
2440 (Math-integer-posp (nth 1 b))
2441 (Math-integer-negp (nth 1 a)))
2442 (Math-lessp (math-scale-int (nth 1 a) ediff)
2443 (nth 1 b)))
2444 (if (>= (setq ediff (- ediff))
2445 (+ calc-internal-prec calc-internal-prec))
2446 (if (eq (nth 1 b) 0)
2447 (Math-integer-negp (nth 1 a))
2448 (Math-integer-posp (nth 1 b)))
2449 (Math-lessp (nth 1 a)
2450 (math-scale-int (nth 1 b) ediff))))))
2451
2452 ;;; True if A is numerically equal to B. [P N N] [Public]
2453 (defun math-equal (a b)
2454 (= (math-compare a b) 0))
2455
2456 ;;; True if A is numerically less than B. [P R R] [Public]
2457 (defun math-lessp (a b)
2458 (= (math-compare a b) -1))
2459
2460 ;;; True if A is numerically equal to the integer B. [P N S] [Public]
2461 ;;; B must not be a multiple of 10.
2462 (defun math-equal-int (a b)
2463 (or (eq a b)
2464 (and (eq (car-safe a) 'float)
2465 (eq (nth 1 a) b)
2466 (= (nth 2 a) 0))))
2467
2468
2469
2470
2471 ;;; Return the dimensions of a matrix as a list. [l x] [Public]
2472 (defun math-mat-dimens (m)
2473 (if (math-vectorp m)
2474 (if (math-matrixp m)
2475 (cons (1- (length m))
2476 (math-mat-dimens (nth 1 m)))
2477 (list (1- (length m))))
2478 nil))
2479
2480
2481
2482 (defun calc-binary-op-fancy (name func arg ident unary)
2483 (let ((n (prefix-numeric-value arg)))
2484 (cond ((> n 1)
2485 (calc-enter-result n
2486 name
2487 (list 'calcFunc-reduce
2488 (math-calcFunc-to-var func)
2489 (cons 'vec (calc-top-list-n n)))))
2490 ((= n 1)
2491 (if unary
2492 (calc-enter-result 1 name (list unary (calc-top-n 1)))))
2493 ((= n 0)
2494 (if ident
2495 (calc-enter-result 0 name ident)
2496 (error "Argument must be nonzero")))
2497 (t
2498 (let ((rhs (calc-top-n 1)))
2499 (calc-enter-result (- 1 n)
2500 name
2501 (mapcar (function
2502 (lambda (x)
2503 (list func x rhs)))
2504 (calc-top-list-n (- n) 2))))))))
2505
2506 (defun calc-unary-op-fancy (name func arg)
2507 (let ((n (prefix-numeric-value arg)))
2508 (if (= n 0) (setq n (calc-stack-size)))
2509 (cond ((> n 0)
2510 (calc-enter-result n
2511 name
2512 (mapcar (function
2513 (lambda (x)
2514 (list func x)))
2515 (calc-top-list-n n))))
2516 ((< n 0)
2517 (calc-enter-result 1
2518 name
2519 (list func (calc-top-n (- n)))
2520 (- n))))))
2521
2522 (defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun)))
2523 (defvar var-Decls (list 'vec))
2524
2525
2526 (defun math-inexact-result ()
2527 (and calc-symbolic-mode
2528 (signal 'inexact-result nil)))
2529
2530 (defun math-overflow (&optional exp)
2531 (if (and exp (math-negp exp))
2532 (math-underflow)
2533 (signal 'math-overflow nil)))
2534
2535 (defun math-underflow ()
2536 (signal 'math-underflow nil))
2537
2538 ;;; Compute the greatest common divisor of A and B. [I I I] [Public]
2539 (defun math-gcd (a b)
2540 (cond ((not (or (consp a) (consp b)))
2541 (if (< a 0) (setq a (- a)))
2542 (if (< b 0) (setq b (- b)))
2543 (let (c)
2544 (if (< a b)
2545 (setq c b b a a c))
2546 (while (> b 0)
2547 (setq c b
2548 b (% a b)
2549 a c))
2550 a))
2551 ((eq a 0) b)
2552 ((eq b 0) a)
2553 (t
2554 (if (Math-integer-negp a) (setq a (math-neg a)))
2555 (if (Math-integer-negp b) (setq b (math-neg b)))
2556 (let (c)
2557 (if (Math-natnum-lessp a b)
2558 (setq c b b a a c))
2559 (while (and (consp a) (not (eq b 0)))
2560 (setq c b
2561 b (math-imod a b)
2562 a c))
2563 (while (> b 0)
2564 (setq c b
2565 b (% a b)
2566 a c))
2567 a))))
2568
2569
2570 ;;;; Algebra.
2571
2572 ;;; Evaluate variables in an expression.
2573 (defun math-evaluate-expr (x) ; [Public]
2574 (if calc-embedded-info
2575 (calc-embedded-evaluate-expr x)
2576 (calc-normalize (math-evaluate-expr-rec x))))
2577
2578 (defalias 'calcFunc-evalv 'math-evaluate-expr)
2579
2580 (defun calcFunc-evalvn (x &optional prec)
2581 (if prec
2582 (progn
2583 (or (math-num-integerp prec)
2584 (if (and (math-vectorp prec)
2585 (= (length prec) 2)
2586 (math-num-integerp (nth 1 prec)))
2587 (setq prec (math-add (nth 1 prec) calc-internal-prec))
2588 (math-reject-arg prec 'integerp)))
2589 (setq prec (math-trunc prec))
2590 (if (< prec 3) (setq prec 3))
2591 (if (> prec calc-internal-prec)
2592 (math-normalize
2593 (let ((calc-internal-prec prec))
2594 (calcFunc-evalvn x)))
2595 (let ((calc-internal-prec prec))
2596 (calcFunc-evalvn x))))
2597 (let ((calc-symbolic-mode nil))
2598 (math-evaluate-expr x))))
2599
2600 (defun math-evaluate-expr-rec (x)
2601 (if (consp x)
2602 (if (memq (car x) '(calcFunc-quote calcFunc-condition
2603 calcFunc-evalto calcFunc-assign))
2604 (if (and (eq (car x) 'calcFunc-assign)
2605 (= (length x) 3))
2606 (list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x)))
2607 x)
2608 (if (eq (car x) 'var)
2609 (if (and (calc-var-value (nth 2 x))
2610 (not (eq (car-safe (symbol-value (nth 2 x)))
2611 'incomplete)))
2612 (let ((val (symbol-value (nth 2 x))))
2613 (if (eq (car-safe val) 'special-const)
2614 (if calc-symbolic-mode
2615 x
2616 val)
2617 val))
2618 x)
2619 (if (Math-primp x)
2620 x
2621 (cons (car x) (mapcar 'math-evaluate-expr-rec (cdr x))))))
2622 x))
2623
2624 (defun math-any-floats (expr)
2625 (if (Math-primp expr)
2626 (math-floatp expr)
2627 (while (and (setq expr (cdr expr)) (not (math-any-floats (car expr)))))
2628 expr))
2629
2630 (defvar var-FactorRules 'calc-FactorRules)
2631
2632 (defvar math-mt-many nil)
2633 (defvar math-mt-func nil)
2634
2635 (defun math-map-tree (math-mt-func mmt-expr &optional math-mt-many)
2636 (or math-mt-many (setq math-mt-many 1000000))
2637 (math-map-tree-rec mmt-expr))
2638
2639 (defun math-map-tree-rec (mmt-expr)
2640 (or (= math-mt-many 0)
2641 (let ((mmt-done nil)
2642 mmt-nextval)
2643 (while (not mmt-done)
2644 (while (and (/= math-mt-many 0)
2645 (setq mmt-nextval (funcall math-mt-func mmt-expr))
2646 (not (equal mmt-expr mmt-nextval)))
2647 (setq mmt-expr mmt-nextval
2648 math-mt-many (if (> math-mt-many 0)
2649 (1- math-mt-many)
2650 (1+ math-mt-many))))
2651 (if (or (Math-primp mmt-expr)
2652 (<= math-mt-many 0))
2653 (setq mmt-done t)
2654 (setq mmt-nextval (cons (car mmt-expr)
2655 (mapcar 'math-map-tree-rec
2656 (cdr mmt-expr))))
2657 (if (equal mmt-nextval mmt-expr)
2658 (setq mmt-done t)
2659 (setq mmt-expr mmt-nextval))))))
2660 mmt-expr)
2661
2662 (defun math-is-true (expr)
2663 (if (Math-numberp expr)
2664 (not (Math-zerop expr))
2665 (math-known-nonzerop expr)))
2666
2667 (defun math-const-var (expr)
2668 (and (consp expr)
2669 (eq (car expr) 'var)
2670 (or (and (symbolp (nth 2 expr))
2671 (boundp (nth 2 expr))
2672 (eq (car-safe (symbol-value (nth 2 expr))) 'special-const))
2673 (memq (nth 2 expr) '(var-inf var-uinf var-nan)))))
2674
2675 ;; The variable math-integral-cache is originally declared in calcalg2.el,
2676 ;; but is set by math-defintegral and math-definitegral2.
2677 (defvar math-integral-cache)
2678
2679 (defmacro math-defintegral (funcs &rest code)
2680 (setq math-integral-cache nil)
2681 (append '(progn)
2682 (mapcar (function
2683 (lambda (func)
2684 (list 'put (list 'quote func) ''math-integral
2685 (list 'nconc
2686 (list 'get (list 'quote func) ''math-integral)
2687 (list 'list
2688 (list 'function
2689 (append '(lambda (u))
2690 code)))))))
2691 (if (symbolp funcs) (list funcs) funcs))))
2692 (put 'math-defintegral 'lisp-indent-hook 1)
2693
2694 (defmacro math-defintegral-2 (funcs &rest code)
2695 (setq math-integral-cache nil)
2696 (append '(progn)
2697 (mapcar (function
2698 (lambda (func)
2699 (list 'put (list 'quote func) ''math-integral-2
2700 (list 'nconc
2701 (list 'get (list 'quote func)
2702 ''math-integral-2)
2703 (list 'list
2704 (list 'function
2705 (append '(lambda (u v))
2706 code)))))))
2707 (if (symbolp funcs) (list funcs) funcs))))
2708 (put 'math-defintegral-2 'lisp-indent-hook 1)
2709
2710 (defvar var-IntegAfterRules 'calc-IntegAfterRules)
2711
2712 (defvar var-FitRules 'calc-FitRules)
2713
2714 (defvar math-poly-base-variable nil)
2715 (defvar math-poly-neg-powers nil)
2716 (defvar math-poly-mult-powers 1)
2717 (defvar math-poly-frac-powers nil)
2718 (defvar math-poly-exp-base nil)
2719
2720 (defun math-build-var-name (name)
2721 (if (stringp name)
2722 (setq name (intern name)))
2723 (if (string-match "\\`var-." (symbol-name name))
2724 (list 'var (intern (substring (symbol-name name) 4)) name)
2725 (list 'var name (intern (concat "var-" (symbol-name name))))))
2726
2727 (defvar math-simplifying-units nil)
2728 (defvar math-combining-units t)
2729
2730 ;;; Nontrivial number parsing.
2731
2732 (defun math-read-number-fancy (s)
2733 (cond
2734
2735 ;; Integer+fractions
2736 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2737 (let ((int (math-match-substring s 1))
2738 (num (math-match-substring s 2))
2739 (den (math-match-substring s 3)))
2740 (let ((int (if (> (length int) 0) (math-read-number int) 0))
2741 (num (if (> (length num) 0) (math-read-number num) 1))
2742 (den (if (> (length num) 0) (math-read-number den) 1)))
2743 (and int num den
2744 (math-integerp int) (math-integerp num) (math-integerp den)
2745 (not (math-zerop den))
2746 (list 'frac (math-add num (math-mul int den)) den)))))
2747
2748 ;; Fractions
2749 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2750 (let ((num (math-match-substring s 1))
2751 (den (math-match-substring s 2)))
2752 (let ((num (if (> (length num) 0) (math-read-number num) 1))
2753 (den (if (> (length num) 0) (math-read-number den) 1)))
2754 (and num den (math-integerp num) (math-integerp den)
2755 (not (math-zerop den))
2756 (list 'frac num den)))))
2757
2758 ;; Modulo forms
2759 ((string-match "^\\(.*\\) *mod *\\(.*\\)$" s)
2760 (let* ((n (math-match-substring s 1))
2761 (m (math-match-substring s 2))
2762 (n (math-read-number n))
2763 (m (math-read-number m)))
2764 (and n m (math-anglep n) (math-anglep m)
2765 (list 'mod n m))))
2766
2767 ;; Error forms
2768 ((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s)
2769 (let* ((x (math-match-substring s 1))
2770 (sigma (math-match-substring s 2))
2771 (x (math-read-number x))
2772 (sigma (math-read-number sigma)))
2773 (and x sigma (math-scalarp x) (math-anglep sigma)
2774 (list 'sdev x sigma))))
2775
2776 ;; Hours (or degrees)
2777 ((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s)
2778 (string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s))
2779 (let* ((hours (math-match-substring s 1))
2780 (minsec (math-match-substring s 2))
2781 (hours (math-read-number hours))
2782 (minsec (if (> (length minsec) 0) (math-read-number minsec) 0)))
2783 (and hours minsec
2784 (math-num-integerp hours)
2785 (not (math-negp hours)) (not (math-negp minsec))
2786 (cond ((math-num-integerp minsec)
2787 (and (Math-lessp minsec 60)
2788 (list 'hms hours minsec 0)))
2789 ((and (eq (car-safe minsec) 'hms)
2790 (math-zerop (nth 1 minsec)))
2791 (math-add (list 'hms hours 0 0) minsec))
2792 (t nil)))))
2793
2794 ;; Minutes
2795 ((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s)
2796 (let* ((minutes (math-match-substring s 1))
2797 (seconds (math-match-substring s 2))
2798 (minutes (math-read-number minutes))
2799 (seconds (if (> (length seconds) 0) (math-read-number seconds) 0)))
2800 (and minutes seconds
2801 (math-num-integerp minutes)
2802 (not (math-negp minutes)) (not (math-negp seconds))
2803 (cond ((math-realp seconds)
2804 (and (Math-lessp minutes 60)
2805 (list 'hms 0 minutes seconds)))
2806 ((and (eq (car-safe seconds) 'hms)
2807 (math-zerop (nth 1 seconds))
2808 (math-zerop (nth 2 seconds)))
2809 (math-add (list 'hms 0 minutes 0) seconds))
2810 (t nil)))))
2811
2812 ;; Seconds
2813 ((string-match "^\\([^\"#^]+\\)[sS\"]$" s)
2814 (let ((seconds (math-read-number (math-match-substring s 1))))
2815 (and seconds (math-realp seconds)
2816 (not (math-negp seconds))
2817 (Math-lessp seconds 60)
2818 (list 'hms 0 0 seconds))))
2819
2820 ;; Integer+fraction with explicit radix
2821 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s)
2822 (let ((radix (string-to-number (math-match-substring s 1)))
2823 (int (math-match-substring s 3))
2824 (num (math-match-substring s 4))
2825 (den (math-match-substring s 5)))
2826 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2827 (num (if (> (length num) 0) (math-read-radix num radix) 1))
2828 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2829 (and int num den (not (math-zerop den))
2830 (list 'frac
2831 (math-add num (math-mul int den))
2832 den)))))
2833
2834 ;; Fraction with explicit radix
2835 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s)
2836 (let ((radix (string-to-number (math-match-substring s 1)))
2837 (num (math-match-substring s 3))
2838 (den (math-match-substring s 4)))
2839 (let ((num (if (> (length num) 0) (math-read-radix num radix) 1))
2840 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2841 (and num den (not (math-zerop den)) (list 'frac num den)))))
2842
2843 ;; Float with explicit radix and exponent
2844 ((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s)
2845 (string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s))
2846 (let ((radix (string-to-number (math-match-substring s 2)))
2847 (mant (math-match-substring s 1))
2848 (exp (math-match-substring s 4)))
2849 (let ((mant (math-read-number mant))
2850 (exp (math-read-number exp)))
2851 (and mant exp
2852 (math-mul mant (math-pow (math-float radix) exp))))))
2853
2854 ;; Float with explicit radix, no exponent
2855 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s)
2856 (let ((radix (string-to-number (math-match-substring s 1)))
2857 (int (math-match-substring s 3))
2858 (fracs (math-match-substring s 4)))
2859 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2860 (frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0))
2861 (calc-prefer-frac nil))
2862 (and int frac
2863 (math-add int (math-div frac (math-pow radix (length fracs))))))))
2864
2865 ;; Integer with explicit radix
2866 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s)
2867 (math-read-radix (math-match-substring s 3)
2868 (string-to-number (math-match-substring s 1))))
2869
2870 ;; C language hexadecimal notation
2871 ((and (eq calc-language 'c)
2872 (string-match "^0[xX]\\([0-9a-fA-F]+\\)$" s))
2873 (let ((digs (math-match-substring s 1)))
2874 (math-read-radix digs 16)))
2875
2876 ;; Pascal language hexadecimal notation
2877 ((and (eq calc-language 'pascal)
2878 (string-match "^\\$\\([0-9a-fA-F]+\\)$" s))
2879 (let ((digs (math-match-substring s 1)))
2880 (math-read-radix digs 16)))
2881
2882 ;; Fraction using "/" instead of ":"
2883 ((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s)
2884 (math-read-number (concat (math-match-substring s 1) ":"
2885 (math-match-substring s 2))))
2886
2887 ;; Syntax error!
2888 (t nil)))
2889
2890 (defun math-read-radix (s r) ; [I X D]
2891 (setq s (upcase s))
2892 (let ((i 0)
2893 (res 0)
2894 dig)
2895 (while (and (< i (length s))
2896 (setq dig (math-read-radix-digit (elt s i)))
2897 (< dig r))
2898 (setq res (math-add (math-mul res r) dig)
2899 i (1+ i)))
2900 (and (= i (length s))
2901 res)))
2902
2903
2904
2905 ;;; Expression parsing.
2906
2907 (defvar math-expr-data)
2908
2909 (defun math-read-expr (math-exp-str)
2910 (let ((math-exp-pos 0)
2911 (math-exp-old-pos 0)
2912 (math-exp-keep-spaces nil)
2913 math-exp-token math-expr-data)
2914 (setq math-exp-str (math-read-preprocess-string math-exp-str))
2915 (while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
2916 (setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots"
2917 (substring math-exp-str (+ math-exp-token 2)))))
2918 (math-build-parse-table)
2919 (math-read-token)
2920 (let ((val (catch 'syntax (math-read-expr-level 0))))
2921 (if (stringp val)
2922 (list 'error math-exp-old-pos val)
2923 (if (equal math-exp-token 'end)
2924 val
2925 (list 'error math-exp-old-pos "Syntax error"))))))
2926
2927 (defun math-read-plain-expr (exp-str &optional error-check)
2928 (let* ((calc-language nil)
2929 (math-expr-opers math-standard-opers)
2930 (val (math-read-expr exp-str)))
2931 (and error-check
2932 (eq (car-safe val) 'error)
2933 (error "%s: %s" (nth 2 val) exp-str))
2934 val))
2935
2936
2937 (defun math-read-string ()
2938 (let ((str (read-from-string (concat math-expr-data "\""))))
2939 (or (and (= (cdr str) (1+ (length math-expr-data)))
2940 (stringp (car str)))
2941 (throw 'syntax "Error in string constant"))
2942 (math-read-token)
2943 (append '(vec) (car str) nil)))
2944
2945
2946
2947 ;;; They said it couldn't be done...
2948
2949 (defun math-read-big-expr (str)
2950 (and (> (length calc-left-label) 0)
2951 (string-match (concat "^" (regexp-quote calc-left-label)) str)
2952 (setq str (concat (substring str 0 (match-beginning 0))
2953 (substring str (match-end 0)))))
2954 (and (> (length calc-right-label) 0)
2955 (string-match (concat (regexp-quote calc-right-label) " *$") str)
2956 (setq str (concat (substring str 0 (match-beginning 0))
2957 (substring str (match-end 0)))))
2958 (if (string-match "\\\\[^ \n|]" str)
2959 (if (eq calc-language 'latex)
2960 (math-read-expr str)
2961 (let ((calc-language 'latex)
2962 (calc-language-option nil)
2963 (math-expr-opers (get 'latex 'math-oper-table))
2964 (math-expr-function-mapping (get 'latex 'math-function-table))
2965 (math-expr-variable-mapping (get 'latex 'math-variable-table)))
2966 (math-read-expr str)))
2967 (let ((math-read-big-lines nil)
2968 (pos 0)
2969 (width 0)
2970 (math-read-big-err-msg nil)
2971 math-read-big-baseline math-read-big-h2
2972 new-pos p)
2973 (while (setq new-pos (string-match "\n" str pos))
2974 (setq math-read-big-lines
2975 (cons (substring str pos new-pos) math-read-big-lines)
2976 pos (1+ new-pos)))
2977 (setq math-read-big-lines
2978 (nreverse (cons (substring str pos) math-read-big-lines))
2979 p math-read-big-lines)
2980 (while p
2981 (setq width (max width (length (car p)))
2982 p (cdr p)))
2983 (if (math-read-big-bigp math-read-big-lines)
2984 (or (catch 'syntax
2985 (math-read-big-rec 0 0 width (length math-read-big-lines)))
2986 math-read-big-err-msg
2987 '(error 0 "Syntax error"))
2988 (math-read-expr str)))))
2989
2990 (defun math-read-big-bigp (math-read-big-lines)
2991 (and (cdr math-read-big-lines)
2992 (let ((matrix nil)
2993 (v 0)
2994 (height (if (> (length (car math-read-big-lines)) 0) 1 0)))
2995 (while (and (cdr math-read-big-lines)
2996 (let* ((i 0)
2997 j
2998 (l1 (car math-read-big-lines))
2999 (l2 (nth 1 math-read-big-lines))
3000 (len (min (length l1) (length l2))))
3001 (if (> (length l2) 0)
3002 (setq height (1+ height)))
3003 (while (and (< i len)
3004 (or (memq (aref l1 i) '(?\ ?\- ?\_))
3005 (memq (aref l2 i) '(?\ ?\-))
3006 (and (memq (aref l1 i) '(?\| ?\,))
3007 (= (aref l2 i) (aref l1 i)))
3008 (and (eq (aref l1 i) ?\[)
3009 (eq (aref l2 i) ?\[)
3010 (let ((math-rb-h2 (length l1)))
3011 (setq j (math-read-big-balance
3012 (1+ i) v "[")))
3013 (setq i (1- j)))))
3014 (setq i (1+ i)))
3015 (or (= i len)
3016 (and (eq (aref l1 i) ?\[)
3017 (eq (aref l2 i) ?\[)
3018 (setq matrix t)
3019 nil))))
3020 (setq math-read-big-lines (cdr math-read-big-lines)
3021 v (1+ v)))
3022 (or (and (> height 1)
3023 (not (cdr math-read-big-lines)))
3024 matrix))))
3025
3026 ;;; Nontrivial "flat" formatting.
3027
3028 (defvar math-format-hash-args nil)
3029 (defvar calc-can-abbrev-vectors nil)
3030
3031 (defun math-format-flat-expr-fancy (a prec)
3032 (cond
3033 ((eq (car a) 'incomplete)
3034 (format "<incomplete %s>" (nth 1 a)))
3035 ((eq (car a) 'vec)
3036 (if (or calc-full-trail-vectors (not calc-can-abbrev-vectors)
3037 (< (length a) 7))
3038 (concat "[" (math-format-flat-vector (cdr a) ", "
3039 (if (cdr (cdr a)) 0 1000)) "]")
3040 (concat "["
3041 (math-format-flat-expr (nth 1 a) 0) ", "
3042 (math-format-flat-expr (nth 2 a) 0) ", "
3043 (math-format-flat-expr (nth 3 a) 0) ", ..., "
3044 (math-format-flat-expr (nth (1- (length a)) a) 0) "]")))
3045 ((eq (car a) 'intv)
3046 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3047 (math-format-flat-expr (nth 2 a) 1000)
3048 " .. "
3049 (math-format-flat-expr (nth 3 a) 1000)
3050 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3051 ((eq (car a) 'date)
3052 (concat "<" (math-format-date a) ">"))
3053 ((and (eq (car a) 'calcFunc-lambda) (> (length a) 2))
3054 (let ((p (cdr a))
3055 (ap calc-arg-values)
3056 (math-format-hash-args (if (= (length a) 3) 1 t)))
3057 (while (and (cdr p) (equal (car p) (car ap)))
3058 (setq p (cdr p) ap (cdr ap)))
3059 (concat "<"
3060 (if (cdr p)
3061 (concat (math-format-flat-vector
3062 (nreverse (cdr (reverse (cdr a)))) ", " 0)
3063 " : ")
3064 "")
3065 (math-format-flat-expr (nth (1- (length a)) a) 0)
3066 ">")))
3067 ((eq (car a) 'var)
3068 (or (and math-format-hash-args
3069 (let ((p calc-arg-values) (v 1))
3070 (while (and p (not (equal (car p) a)))
3071 (setq p (and (eq math-format-hash-args t) (cdr p))
3072 v (1+ v)))
3073 (and p
3074 (if (eq math-format-hash-args 1)
3075 "#"
3076 (format "#%d" v)))))
3077 (symbol-name (nth 1 a))))
3078 ((and (memq (car a) '(calcFunc-string calcFunc-bstring))
3079 (= (length a) 2)
3080 (math-vectorp (nth 1 a))
3081 (math-vector-is-string (nth 1 a)))
3082 (concat (substring (symbol-name (car a)) 9)
3083 "(" (math-vector-to-string (nth 1 a) t) ")"))
3084 (t
3085 (let ((op (math-assq2 (car a) math-standard-opers)))
3086 (cond ((and op (= (length a) 3))
3087 (if (> prec (min (nth 2 op) (nth 3 op)))
3088 (concat "(" (math-format-flat-expr a 0) ")")
3089 (let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op)))
3090 (rhs (math-format-flat-expr (nth 2 a) (nth 3 op))))
3091 (setq op (car op))
3092 (if (or (equal op "^") (equal op "_"))
3093 (if (= (aref lhs 0) ?-)
3094 (setq lhs (concat "(" lhs ")")))
3095 (setq op (concat " " op " ")))
3096 (concat lhs op rhs))))
3097 ((eq (car a) 'neg)
3098 (concat "-" (math-format-flat-expr (nth 1 a) 1000)))
3099 (t
3100 (concat (math-remove-dashes
3101 (if (string-match "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
3102 (symbol-name (car a)))
3103 (math-match-substring (symbol-name (car a)) 1)
3104 (symbol-name (car a))))
3105 "("
3106 (math-format-flat-vector (cdr a) ", " 0)
3107 ")")))))))
3108
3109 (defun math-format-flat-vector (vec sep prec)
3110 (if vec
3111 (let ((buf (math-format-flat-expr (car vec) prec)))
3112 (while (setq vec (cdr vec))
3113 (setq buf (concat buf sep (math-format-flat-expr (car vec) prec))))
3114 buf)
3115 ""))
3116
3117 (defun math-format-nice-expr (x w)
3118 (cond ((and (eq (car-safe x) 'vec)
3119 (cdr (cdr x))
3120 (let ((ops '(vec calcFunc-assign calcFunc-condition
3121 calcFunc-schedule calcFunc-iterations
3122 calcFunc-phase)))
3123 (or (memq (car-safe (nth 1 x)) ops)
3124 (memq (car-safe (nth 2 x)) ops)
3125 (memq (car-safe (nth 3 x)) ops)
3126 calc-break-vectors)))
3127 (concat "[ " (math-format-flat-vector (cdr x) ",\n " 0) " ]"))
3128 (t
3129 (let ((str (math-format-flat-expr x 0))
3130 (pos 0) p)
3131 (or (string-match "\"" str)
3132 (while (<= (setq p (+ pos w)) (length str))
3133 (while (and (> (setq p (1- p)) pos)
3134 (not (= (aref str p) ? ))))
3135 (if (> p (+ pos 5))
3136 (setq str (concat (substring str 0 p)
3137 "\n "
3138 (substring str p))
3139 pos (1+ p))
3140 (setq pos (+ pos w)))))
3141 str))))
3142
3143 (defun math-assq2 (v a)
3144 (while (and a (not (eq v (nth 1 (car a)))))
3145 (setq a (cdr a)))
3146 (car a))
3147
3148 (defun math-format-number-fancy (a prec)
3149 (cond
3150 ((eq (car a) 'float) ; non-decimal radix
3151 (if (Math-integer-negp (nth 1 a))
3152 (concat "-" (math-format-number (math-neg a)))
3153 (let ((str (if (and calc-radix-formatter
3154 (not (memq calc-language '(c pascal))))
3155 (funcall calc-radix-formatter
3156 calc-number-radix
3157 (math-format-radix-float a prec))
3158 (format "%d#%s" calc-number-radix
3159 (math-format-radix-float a prec)))))
3160 (if (and prec (> prec 191) (string-match "\\*" str))
3161 (concat "(" str ")")
3162 str))))
3163 ((eq (car a) 'frac)
3164 (setq a (math-adjust-fraction a))
3165 (if (> (length (car calc-frac-format)) 1)
3166 (if (Math-integer-negp (nth 1 a))
3167 (concat "-" (math-format-number (math-neg a)))
3168 (let ((q (math-idivmod (nth 1 a) (nth 2 a))))
3169 (concat (let ((calc-frac-format nil))
3170 (math-format-number (car q)))
3171 (substring (car calc-frac-format) 0 1)
3172 (let ((math-radix-explicit-format nil)
3173 (calc-frac-format nil))
3174 (math-format-number (cdr q)))
3175 (substring (car calc-frac-format) 1 2)
3176 (let ((math-radix-explicit-format nil)
3177 (calc-frac-format nil))
3178 (math-format-number (nth 2 a))))))
3179 (concat (let ((calc-frac-format nil))
3180 (math-format-number (nth 1 a)))
3181 (car calc-frac-format)
3182 (let ((math-radix-explicit-format nil)
3183 (calc-frac-format nil))
3184 (math-format-number (nth 2 a))))))
3185 ((eq (car a) 'cplx)
3186 (if (math-zerop (nth 2 a))
3187 (math-format-number (nth 1 a))
3188 (if (null calc-complex-format)
3189 (concat "(" (math-format-number (nth 1 a))
3190 ", " (math-format-number (nth 2 a)) ")")
3191 (if (math-zerop (nth 1 a))
3192 (if (math-equal-int (nth 2 a) 1)
3193 (symbol-name calc-complex-format)
3194 (if (math-equal-int (nth 2 a) -1)
3195 (concat "-" (symbol-name calc-complex-format))
3196 (if prec
3197 (math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec)
3198 (concat (math-format-number (nth 2 a)) " "
3199 (symbol-name calc-complex-format)))))
3200 (if prec
3201 (math-compose-expr (list (if (math-negp (nth 2 a)) '- '+)
3202 (nth 1 a)
3203 (list 'cplx 0 (math-abs (nth 2 a))))
3204 prec)
3205 (concat (math-format-number (nth 1 a))
3206 (if (math-negp (nth 2 a)) " - " " + ")
3207 (math-format-number
3208 (list 'cplx 0 (math-abs (nth 2 a))))))))))
3209 ((eq (car a) 'polar)
3210 (concat "(" (math-format-number (nth 1 a))
3211 "; " (math-format-number (nth 2 a)) ")"))
3212 ((eq (car a) 'hms)
3213 (if (math-negp a)
3214 (concat "-" (math-format-number (math-neg a)))
3215 (let ((calc-number-radix 10)
3216 (calc-leading-zeros nil)
3217 (calc-group-digits nil))
3218 (format calc-hms-format
3219 (let ((calc-frac-format '(":" nil)))
3220 (math-format-number (nth 1 a)))
3221 (let ((calc-frac-format '(":" nil)))
3222 (math-format-number (nth 2 a)))
3223 (math-format-number (nth 3 a))))))
3224 ((eq (car a) 'intv)
3225 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3226 (math-format-number (nth 2 a))
3227 " .. "
3228 (math-format-number (nth 3 a))
3229 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3230 ((eq (car a) 'sdev)
3231 (concat (math-format-number (nth 1 a))
3232 " +/- "
3233 (math-format-number (nth 2 a))))
3234 ((eq (car a) 'vec)
3235 (math-format-flat-expr a 0))
3236 (t (format "%s" a))))
3237
3238 (defun math-adjust-fraction (a)
3239 (if (nth 1 calc-frac-format)
3240 (progn
3241 (if (Math-integerp a) (setq a (list 'frac a 1)))
3242 (let ((g (math-quotient (nth 1 calc-frac-format)
3243 (math-gcd (nth 2 a)
3244 (nth 1 calc-frac-format)))))
3245 (list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g))))
3246 a))
3247
3248 (defun math-format-bignum-fancy (a) ; [X L]
3249 (let ((str (cond ((= calc-number-radix 10)
3250 (math-format-bignum-decimal a))
3251 ((= calc-number-radix 2)
3252 (math-format-bignum-binary a))
3253 ((= calc-number-radix 8)
3254 (math-format-bignum-octal a))
3255 ((= calc-number-radix 16)
3256 (math-format-bignum-hex a))
3257 (t (math-format-bignum-radix a)))))
3258 (if calc-leading-zeros
3259 (let* ((calc-internal-prec 6)
3260 (digs (math-compute-max-digits (math-abs calc-word-size)
3261 calc-number-radix))
3262 (len (length str)))
3263 (if (< len digs)
3264 (setq str (concat (make-string (- digs len) ?0) str)))))
3265 (if calc-group-digits
3266 (let ((i (length str))
3267 (g (if (integerp calc-group-digits)
3268 (math-abs calc-group-digits)
3269 (if (memq calc-number-radix '(2 16)) 4 3))))
3270 (while (> i g)
3271 (setq i (- i g)
3272 str (concat (substring str 0 i)
3273 calc-group-char
3274 (substring str i))))
3275 str))
3276 (if (and (/= calc-number-radix 10)
3277 math-radix-explicit-format)
3278 (if calc-radix-formatter
3279 (funcall calc-radix-formatter calc-number-radix str)
3280 (format "%d#%s" calc-number-radix str))
3281 str)))
3282
3283
3284 (defun math-group-float (str) ; [X X]
3285 (let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str)))
3286 (g (if (integerp calc-group-digits) (math-abs calc-group-digits) 3))
3287 (i pt))
3288 (if (and (integerp calc-group-digits) (< calc-group-digits 0))
3289 (while (< (setq i (+ (1+ i) g)) (length str))
3290 (setq str (concat (substring str 0 i)
3291 calc-group-char
3292 (substring str i))
3293 i (+ i (1- (length calc-group-char))))))
3294 (setq i pt)
3295 (while (> i g)
3296 (setq i (- i g)
3297 str (concat (substring str 0 i)
3298 calc-group-char
3299 (substring str i))))
3300 str))
3301
3302 ;;; Users can redefine this in their .emacs files.
3303 (defvar calc-keypad-user-menu nil
3304 "If non-nil, this describes an additional menu for calc-keypad.
3305 It should contain a list of three rows.
3306 Each row should be a list of six keys.
3307 Each key should be a list of a label string, plus a Calc command name spec.
3308 A command spec is a command name symbol, a keyboard macro string, a
3309 list containing a numeric entry string, or nil.
3310 A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.")
3311
3312 (run-hooks 'calc-ext-load-hook)
3313
3314 (provide 'calc-ext)
3315
3316 ;;; arch-tag: 1814ba7f-a390-49dc-9e25-a5adc205e97e
3317 ;;; calc-ext.el ends here