09b9bf59c7641498a9f37c962774c9c53907e698
[bpt/emacs.git] / lisp / calc / calc-ext.el
1 ;;; calc-ext.el --- various extension functions for Calc
2
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002 Free Software Foundation, Inc.
4
5 ;; Author: David Gillespie <daveg@synaptics.com>
6 ;; Maintainers: D. Goel <deego@gnufans.org>
7 ;; Colin Walters <walters@debian.org>
8
9 ;; This file is part of GNU Emacs.
10
11 ;; GNU Emacs is distributed in the hope that it will be useful,
12 ;; but WITHOUT ANY WARRANTY. No author or distributor
13 ;; accepts responsibility to anyone for the consequences of using it
14 ;; or for whether it serves any particular purpose or works at all,
15 ;; unless he says so in writing. Refer to the GNU Emacs General Public
16 ;; License for full details.
17
18 ;; Everyone is granted permission to copy, modify and redistribute
19 ;; GNU Emacs, but only under the conditions described in the
20 ;; GNU Emacs General Public License. A copy of this license is
21 ;; supposed to have been given to you along with GNU Emacs so you
22 ;; can know your rights and responsibilities. It should be in a
23 ;; file named COPYING. Among other things, the copyright notice
24 ;; and this notice must be preserved on all copies.
25
26 ;;; Commentary:
27
28 ;;; Code:
29
30 (provide 'calc-ext)
31 (require 'calc)
32
33 (setq calc-extensions-loaded t)
34
35 ;;; This function is the autoload "hook" to cause this file to be loaded.
36 ;;;###autoload
37 (defun calc-extensions ()
38 "This function is part of the autoload linkage for parts of Calc."
39 t)
40
41 ;;; Auto-load calc.el part, in case this part was loaded first.
42 (if (fboundp 'calc-dispatch)
43 (and (eq (car-safe (symbol-function 'calc-dispatch)) 'autoload)
44 (load (nth 1 (symbol-function 'calc-dispatch))))
45 (if (fboundp 'calc)
46 (and (eq (car-safe (symbol-function 'calc)) 'autoload)
47 (load (nth 1 (symbol-function 'calc))))
48 (error "Main part of Calc must be present in order to load this file")))
49
50 (require 'calc-macs)
51
52 (defvar math-simplifying nil)
53 (defvar math-living-dangerously nil) ; true if unsafe simplifications are okay.
54 (defvar math-integrating nil)
55
56 (defvar math-rewrite-selections nil)
57
58 (defvar math-compose-level 0)
59 (defvar math-comp-selected nil)
60 (defvar math-comp-tagged nil)
61 (defvar math-comp-sel-hpos nil)
62 (defvar math-comp-sel-vpos nil)
63 (defvar math-comp-sel-cpos nil)
64 (defvar math-compose-hash-args nil)
65
66 ;;; The following was made a function so that it could be byte-compiled.
67 (defun calc-init-extensions ()
68
69 (define-key calc-mode-map ":" 'calc-fdiv)
70 (define-key calc-mode-map "\\" 'calc-idiv)
71 (define-key calc-mode-map "|" 'calc-concat)
72 (define-key calc-mode-map "!" 'calc-factorial)
73 (define-key calc-mode-map "C" 'calc-cos)
74 (define-key calc-mode-map "E" 'calc-exp)
75 (define-key calc-mode-map "H" 'calc-hyperbolic)
76 (define-key calc-mode-map "I" 'calc-inverse)
77 (define-key calc-mode-map "J" 'calc-conj)
78 (define-key calc-mode-map "L" 'calc-ln)
79 (define-key calc-mode-map "N" 'calc-eval-num)
80 (define-key calc-mode-map "P" 'calc-pi)
81 (define-key calc-mode-map "Q" 'calc-sqrt)
82 (define-key calc-mode-map "R" 'calc-round)
83 (define-key calc-mode-map "S" 'calc-sin)
84 (define-key calc-mode-map "T" 'calc-tan)
85 (define-key calc-mode-map "U" 'calc-undo)
86 (define-key calc-mode-map "X" 'calc-call-last-kbd-macro)
87 (define-key calc-mode-map "o" 'calc-realign)
88 (define-key calc-mode-map "p" 'calc-precision)
89 (define-key calc-mode-map "w" 'calc-why)
90 (define-key calc-mode-map "x" 'calc-execute-extended-command)
91 (define-key calc-mode-map "y" 'calc-copy-to-buffer)
92
93 (define-key calc-mode-map "(" 'calc-begin-complex)
94 (define-key calc-mode-map ")" 'calc-end-complex)
95 (define-key calc-mode-map "[" 'calc-begin-vector)
96 (define-key calc-mode-map "]" 'calc-end-vector)
97 (define-key calc-mode-map "," 'calc-comma)
98 (define-key calc-mode-map ";" 'calc-semi)
99 (define-key calc-mode-map "`" 'calc-edit)
100 (define-key calc-mode-map "=" 'calc-evaluate)
101 (define-key calc-mode-map "~" 'calc-num-prefix)
102 (define-key calc-mode-map "<" 'calc-scroll-left)
103 (define-key calc-mode-map ">" 'calc-scroll-right)
104 (define-key calc-mode-map "{" 'calc-scroll-down)
105 (define-key calc-mode-map "}" 'calc-scroll-up)
106 (define-key calc-mode-map "\C-k" 'calc-kill)
107 (define-key calc-mode-map "\M-k" 'calc-copy-as-kill)
108 (define-key calc-mode-map "\C-w" 'calc-kill-region)
109 (define-key calc-mode-map "\M-w" 'calc-copy-region-as-kill)
110 (define-key calc-mode-map "\C-y" 'calc-yank)
111 (define-key calc-mode-map "\C-_" 'calc-undo)
112 (define-key calc-mode-map "\C-xu" 'calc-undo)
113 (define-key calc-mode-map "\M-\C-m" 'calc-last-args)
114
115 (define-key calc-mode-map "a" nil)
116 (define-key calc-mode-map "a?" 'calc-a-prefix-help)
117 (define-key calc-mode-map "aa" 'calc-apart)
118 (define-key calc-mode-map "ab" 'calc-substitute)
119 (define-key calc-mode-map "ac" 'calc-collect)
120 (define-key calc-mode-map "ad" 'calc-derivative)
121 (define-key calc-mode-map "ae" 'calc-simplify-extended)
122 (define-key calc-mode-map "af" 'calc-factor)
123 (define-key calc-mode-map "ag" 'calc-poly-gcd)
124 (define-key calc-mode-map "ai" 'calc-integral)
125 (define-key calc-mode-map "am" 'calc-match)
126 (define-key calc-mode-map "an" 'calc-normalize-rat)
127 (define-key calc-mode-map "ap" 'calc-poly-interp)
128 (define-key calc-mode-map "ar" 'calc-rewrite)
129 (define-key calc-mode-map "as" 'calc-simplify)
130 (define-key calc-mode-map "at" 'calc-taylor)
131 (define-key calc-mode-map "av" 'calc-alg-evaluate)
132 (define-key calc-mode-map "ax" 'calc-expand)
133 (define-key calc-mode-map "aA" 'calc-abs)
134 (define-key calc-mode-map "aF" 'calc-curve-fit)
135 (define-key calc-mode-map "aI" 'calc-num-integral)
136 (define-key calc-mode-map "aM" 'calc-map-equation)
137 (define-key calc-mode-map "aN" 'calc-find-minimum)
138 (define-key calc-mode-map "aP" 'calc-poly-roots)
139 (define-key calc-mode-map "aS" 'calc-solve-for)
140 (define-key calc-mode-map "aR" 'calc-find-root)
141 (define-key calc-mode-map "aT" 'calc-tabulate)
142 (define-key calc-mode-map "aX" 'calc-find-maximum)
143 (define-key calc-mode-map "a+" 'calc-summation)
144 (define-key calc-mode-map "a-" 'calc-alt-summation)
145 (define-key calc-mode-map "a*" 'calc-product)
146 (define-key calc-mode-map "a\\" 'calc-poly-div)
147 (define-key calc-mode-map "a%" 'calc-poly-rem)
148 (define-key calc-mode-map "a/" 'calc-poly-div-rem)
149 (define-key calc-mode-map "a=" 'calc-equal-to)
150 (define-key calc-mode-map "a#" 'calc-not-equal-to)
151 (define-key calc-mode-map "a<" 'calc-less-than)
152 (define-key calc-mode-map "a>" 'calc-greater-than)
153 (define-key calc-mode-map "a[" 'calc-less-equal)
154 (define-key calc-mode-map "a]" 'calc-greater-equal)
155 (define-key calc-mode-map "a." 'calc-remove-equal)
156 (define-key calc-mode-map "a{" 'calc-in-set)
157 (define-key calc-mode-map "a&" 'calc-logical-and)
158 (define-key calc-mode-map "a|" 'calc-logical-or)
159 (define-key calc-mode-map "a!" 'calc-logical-not)
160 (define-key calc-mode-map "a:" 'calc-logical-if)
161 (define-key calc-mode-map "a_" 'calc-subscript)
162 (define-key calc-mode-map "a\"" 'calc-expand-formula)
163
164 (define-key calc-mode-map "b" nil)
165 (define-key calc-mode-map "b?" 'calc-b-prefix-help)
166 (define-key calc-mode-map "ba" 'calc-and)
167 (define-key calc-mode-map "bc" 'calc-clip)
168 (define-key calc-mode-map "bd" 'calc-diff)
169 (define-key calc-mode-map "bl" 'calc-lshift-binary)
170 (define-key calc-mode-map "bn" 'calc-not)
171 (define-key calc-mode-map "bo" 'calc-or)
172 (define-key calc-mode-map "bp" 'calc-pack-bits)
173 (define-key calc-mode-map "br" 'calc-rshift-binary)
174 (define-key calc-mode-map "bt" 'calc-rotate-binary)
175 (define-key calc-mode-map "bu" 'calc-unpack-bits)
176 (define-key calc-mode-map "bw" 'calc-word-size)
177 (define-key calc-mode-map "bx" 'calc-xor)
178 (define-key calc-mode-map "bB" 'calc-log)
179 (define-key calc-mode-map "bD" 'calc-fin-ddb)
180 (define-key calc-mode-map "bF" 'calc-fin-fv)
181 (define-key calc-mode-map "bI" 'calc-fin-irr)
182 (define-key calc-mode-map "bL" 'calc-lshift-arith)
183 (define-key calc-mode-map "bM" 'calc-fin-pmt)
184 (define-key calc-mode-map "bN" 'calc-fin-npv)
185 (define-key calc-mode-map "bP" 'calc-fin-pv)
186 (define-key calc-mode-map "bR" 'calc-rshift-arith)
187 (define-key calc-mode-map "bS" 'calc-fin-sln)
188 (define-key calc-mode-map "bT" 'calc-fin-rate)
189 (define-key calc-mode-map "bY" 'calc-fin-syd)
190 (define-key calc-mode-map "b#" 'calc-fin-nper)
191 (define-key calc-mode-map "b%" 'calc-percent-change)
192
193 (define-key calc-mode-map "c" nil)
194 (define-key calc-mode-map "c?" 'calc-c-prefix-help)
195 (define-key calc-mode-map "cc" 'calc-clean)
196 (define-key calc-mode-map "cd" 'calc-to-degrees)
197 (define-key calc-mode-map "cf" 'calc-float)
198 (define-key calc-mode-map "ch" 'calc-to-hms)
199 (define-key calc-mode-map "cp" 'calc-polar)
200 (define-key calc-mode-map "cr" 'calc-to-radians)
201 (define-key calc-mode-map "cC" 'calc-cos)
202 (define-key calc-mode-map "cF" 'calc-fraction)
203 (define-key calc-mode-map "c%" 'calc-convert-percent)
204
205 (define-key calc-mode-map "d" nil)
206 (define-key calc-mode-map "d?" 'calc-d-prefix-help)
207 (define-key calc-mode-map "d0" 'calc-decimal-radix)
208 (define-key calc-mode-map "d2" 'calc-binary-radix)
209 (define-key calc-mode-map "d6" 'calc-hex-radix)
210 (define-key calc-mode-map "d8" 'calc-octal-radix)
211 (define-key calc-mode-map "db" 'calc-line-breaking)
212 (define-key calc-mode-map "dc" 'calc-complex-notation)
213 (define-key calc-mode-map "dd" 'calc-date-notation)
214 (define-key calc-mode-map "de" 'calc-eng-notation)
215 (define-key calc-mode-map "df" 'calc-fix-notation)
216 (define-key calc-mode-map "dg" 'calc-group-digits)
217 (define-key calc-mode-map "dh" 'calc-hms-notation)
218 (define-key calc-mode-map "di" 'calc-i-notation)
219 (define-key calc-mode-map "dj" 'calc-j-notation)
220 (define-key calc-mode-map "dl" 'calc-line-numbering)
221 (define-key calc-mode-map "dn" 'calc-normal-notation)
222 (define-key calc-mode-map "do" 'calc-over-notation)
223 (define-key calc-mode-map "dp" 'calc-show-plain)
224 (define-key calc-mode-map "dr" 'calc-radix)
225 (define-key calc-mode-map "ds" 'calc-sci-notation)
226 (define-key calc-mode-map "dt" 'calc-truncate-stack)
227 (define-key calc-mode-map "dw" 'calc-auto-why)
228 (define-key calc-mode-map "dz" 'calc-leading-zeros)
229 (define-key calc-mode-map "dB" 'calc-big-language)
230 (define-key calc-mode-map "dD" 'calc-redo)
231 (define-key calc-mode-map "dC" 'calc-c-language)
232 (define-key calc-mode-map "dE" 'calc-eqn-language)
233 (define-key calc-mode-map "dF" 'calc-fortran-language)
234 (define-key calc-mode-map "dM" 'calc-mathematica-language)
235 (define-key calc-mode-map "dN" 'calc-normal-language)
236 (define-key calc-mode-map "dO" 'calc-flat-language)
237 (define-key calc-mode-map "dP" 'calc-pascal-language)
238 (define-key calc-mode-map "dT" 'calc-tex-language)
239 (define-key calc-mode-map "dU" 'calc-unformatted-language)
240 (define-key calc-mode-map "dW" 'calc-maple-language)
241 (define-key calc-mode-map "d[" 'calc-truncate-up)
242 (define-key calc-mode-map "d]" 'calc-truncate-down)
243 (define-key calc-mode-map "d." 'calc-point-char)
244 (define-key calc-mode-map "d," 'calc-group-char)
245 (define-key calc-mode-map "d\"" 'calc-display-strings)
246 (define-key calc-mode-map "d<" 'calc-left-justify)
247 (define-key calc-mode-map "d=" 'calc-center-justify)
248 (define-key calc-mode-map "d>" 'calc-right-justify)
249 (define-key calc-mode-map "d{" 'calc-left-label)
250 (define-key calc-mode-map "d}" 'calc-right-label)
251 (define-key calc-mode-map "d'" 'calc-display-raw)
252 (define-key calc-mode-map "d " 'calc-refresh)
253 (define-key calc-mode-map "d\r" 'calc-refresh-top)
254 (define-key calc-mode-map "d@" 'calc-toggle-banner)
255
256 (define-key calc-mode-map "f" nil)
257 (define-key calc-mode-map "f?" 'calc-f-prefix-help)
258 (define-key calc-mode-map "fb" 'calc-beta)
259 (define-key calc-mode-map "fe" 'calc-erf)
260 (define-key calc-mode-map "fg" 'calc-gamma)
261 (define-key calc-mode-map "fh" 'calc-hypot)
262 (define-key calc-mode-map "fi" 'calc-im)
263 (define-key calc-mode-map "fj" 'calc-bessel-J)
264 (define-key calc-mode-map "fn" 'calc-min)
265 (define-key calc-mode-map "fr" 'calc-re)
266 (define-key calc-mode-map "fs" 'calc-sign)
267 (define-key calc-mode-map "fx" 'calc-max)
268 (define-key calc-mode-map "fy" 'calc-bessel-Y)
269 (define-key calc-mode-map "fA" 'calc-abssqr)
270 (define-key calc-mode-map "fB" 'calc-inc-beta)
271 (define-key calc-mode-map "fE" 'calc-expm1)
272 (define-key calc-mode-map "fF" 'calc-floor)
273 (define-key calc-mode-map "fG" 'calc-inc-gamma)
274 (define-key calc-mode-map "fI" 'calc-ilog)
275 (define-key calc-mode-map "fL" 'calc-lnp1)
276 (define-key calc-mode-map "fM" 'calc-mant-part)
277 (define-key calc-mode-map "fQ" 'calc-isqrt)
278 (define-key calc-mode-map "fS" 'calc-scale-float)
279 (define-key calc-mode-map "fT" 'calc-arctan2)
280 (define-key calc-mode-map "fX" 'calc-xpon-part)
281 (define-key calc-mode-map "f[" 'calc-decrement)
282 (define-key calc-mode-map "f]" 'calc-increment)
283
284 (define-key calc-mode-map "g" nil)
285 (define-key calc-mode-map "g?" 'calc-g-prefix-help)
286 (define-key calc-mode-map "ga" 'calc-graph-add)
287 (define-key calc-mode-map "gb" 'calc-graph-border)
288 (define-key calc-mode-map "gc" 'calc-graph-clear)
289 (define-key calc-mode-map "gd" 'calc-graph-delete)
290 (define-key calc-mode-map "gf" 'calc-graph-fast)
291 (define-key calc-mode-map "gg" 'calc-graph-grid)
292 (define-key calc-mode-map "gh" 'calc-graph-header)
293 (define-key calc-mode-map "gk" 'calc-graph-key)
294 (define-key calc-mode-map "gj" 'calc-graph-juggle)
295 (define-key calc-mode-map "gl" 'calc-graph-log-x)
296 (define-key calc-mode-map "gn" 'calc-graph-name)
297 (define-key calc-mode-map "gp" 'calc-graph-plot)
298 (define-key calc-mode-map "gq" 'calc-graph-quit)
299 (define-key calc-mode-map "gr" 'calc-graph-range-x)
300 (define-key calc-mode-map "gs" 'calc-graph-line-style)
301 (define-key calc-mode-map "gt" 'calc-graph-title-x)
302 (define-key calc-mode-map "gv" 'calc-graph-view-commands)
303 (define-key calc-mode-map "gx" 'calc-graph-display)
304 (define-key calc-mode-map "gz" 'calc-graph-zero-x)
305 (define-key calc-mode-map "gA" 'calc-graph-add-3d)
306 (define-key calc-mode-map "gC" 'calc-graph-command)
307 (define-key calc-mode-map "gD" 'calc-graph-device)
308 (define-key calc-mode-map "gF" 'calc-graph-fast-3d)
309 (define-key calc-mode-map "gG" 'calc-argument)
310 (define-key calc-mode-map "gH" 'calc-graph-hide)
311 (define-key calc-mode-map "gK" 'calc-graph-kill)
312 (define-key calc-mode-map "gL" 'calc-graph-log-y)
313 (define-key calc-mode-map "gN" 'calc-graph-num-points)
314 (define-key calc-mode-map "gO" 'calc-graph-output)
315 (define-key calc-mode-map "gP" 'calc-graph-print)
316 (define-key calc-mode-map "gR" 'calc-graph-range-y)
317 (define-key calc-mode-map "gS" 'calc-graph-point-style)
318 (define-key calc-mode-map "gT" 'calc-graph-title-y)
319 (define-key calc-mode-map "gV" 'calc-graph-view-trail)
320 (define-key calc-mode-map "gX" 'calc-graph-geometry)
321 (define-key calc-mode-map "gZ" 'calc-graph-zero-y)
322 (define-key calc-mode-map "g\C-l" 'calc-graph-log-z)
323 (define-key calc-mode-map "g\C-r" 'calc-graph-range-z)
324 (define-key calc-mode-map "g\C-t" 'calc-graph-title-z)
325
326 (define-key calc-mode-map "h" 'calc-help-prefix)
327
328 (define-key calc-mode-map "j" nil)
329 (define-key calc-mode-map "j?" 'calc-j-prefix-help)
330 (define-key calc-mode-map "ja" 'calc-select-additional)
331 (define-key calc-mode-map "jb" 'calc-break-selections)
332 (define-key calc-mode-map "jc" 'calc-clear-selections)
333 (define-key calc-mode-map "jd" 'calc-show-selections)
334 (define-key calc-mode-map "je" 'calc-enable-selections)
335 (define-key calc-mode-map "jl" 'calc-select-less)
336 (define-key calc-mode-map "jm" 'calc-select-more)
337 (define-key calc-mode-map "jn" 'calc-select-next)
338 (define-key calc-mode-map "jo" 'calc-select-once)
339 (define-key calc-mode-map "jp" 'calc-select-previous)
340 (define-key calc-mode-map "jr" 'calc-rewrite-selection)
341 (define-key calc-mode-map "js" 'calc-select-here)
342 (define-key calc-mode-map "jv" 'calc-sel-evaluate)
343 (define-key calc-mode-map "ju" 'calc-unselect)
344 (define-key calc-mode-map "jC" 'calc-sel-commute)
345 (define-key calc-mode-map "jD" 'calc-sel-distribute)
346 (define-key calc-mode-map "jE" 'calc-sel-jump-equals)
347 (define-key calc-mode-map "jI" 'calc-sel-isolate)
348 (define-key calc-mode-map "jJ" 'calc-conj)
349 (define-key calc-mode-map "jL" 'calc-commute-left)
350 (define-key calc-mode-map "jM" 'calc-sel-merge)
351 (define-key calc-mode-map "jN" 'calc-sel-negate)
352 (define-key calc-mode-map "jO" 'calc-select-once-maybe)
353 (define-key calc-mode-map "jR" 'calc-commute-right)
354 (define-key calc-mode-map "jS" 'calc-select-here-maybe)
355 (define-key calc-mode-map "jU" 'calc-sel-unpack)
356 (define-key calc-mode-map "j&" 'calc-sel-invert)
357 (define-key calc-mode-map "j\r" 'calc-copy-selection)
358 (define-key calc-mode-map "j\n" 'calc-copy-selection)
359 (define-key calc-mode-map "j\010" 'calc-del-selection)
360 (define-key calc-mode-map "j\177" 'calc-del-selection)
361 (define-key calc-mode-map "j'" 'calc-enter-selection)
362 (define-key calc-mode-map "j`" 'calc-edit-selection)
363 (define-key calc-mode-map "j+" 'calc-sel-add-both-sides)
364 (define-key calc-mode-map "j-" 'calc-sel-sub-both-sides)
365 (define-key calc-mode-map "j*" 'calc-sel-mult-both-sides)
366 (define-key calc-mode-map "j/" 'calc-sel-div-both-sides)
367 (define-key calc-mode-map "j\"" 'calc-sel-expand-formula)
368
369 (define-key calc-mode-map "k" nil)
370 (define-key calc-mode-map "k?" 'calc-k-prefix-help)
371 (define-key calc-mode-map "ka" 'calc-random-again)
372 (define-key calc-mode-map "kb" 'calc-bernoulli-number)
373 (define-key calc-mode-map "kc" 'calc-choose)
374 (define-key calc-mode-map "kd" 'calc-double-factorial)
375 (define-key calc-mode-map "ke" 'calc-euler-number)
376 (define-key calc-mode-map "kf" 'calc-prime-factors)
377 (define-key calc-mode-map "kg" 'calc-gcd)
378 (define-key calc-mode-map "kh" 'calc-shuffle)
379 (define-key calc-mode-map "kl" 'calc-lcm)
380 (define-key calc-mode-map "km" 'calc-moebius)
381 (define-key calc-mode-map "kn" 'calc-next-prime)
382 (define-key calc-mode-map "kp" 'calc-prime-test)
383 (define-key calc-mode-map "kr" 'calc-random)
384 (define-key calc-mode-map "ks" 'calc-stirling-number)
385 (define-key calc-mode-map "kt" 'calc-totient)
386 (define-key calc-mode-map "kB" 'calc-utpb)
387 (define-key calc-mode-map "kC" 'calc-utpc)
388 (define-key calc-mode-map "kE" 'calc-extended-gcd)
389 (define-key calc-mode-map "kF" 'calc-utpf)
390 (define-key calc-mode-map "kK" 'calc-keep-args)
391 (define-key calc-mode-map "kN" 'calc-utpn)
392 (define-key calc-mode-map "kP" 'calc-utpp)
393 (define-key calc-mode-map "kT" 'calc-utpt)
394
395 (define-key calc-mode-map "m" nil)
396 (define-key calc-mode-map "m?" 'calc-m-prefix-help)
397 (define-key calc-mode-map "ma" 'calc-algebraic-mode)
398 (define-key calc-mode-map "md" 'calc-degrees-mode)
399 (define-key calc-mode-map "mf" 'calc-frac-mode)
400 (define-key calc-mode-map "mg" 'calc-get-modes)
401 (define-key calc-mode-map "mh" 'calc-hms-mode)
402 (define-key calc-mode-map "mi" 'calc-infinite-mode)
403 (define-key calc-mode-map "mm" 'calc-save-modes)
404 (define-key calc-mode-map "mp" 'calc-polar-mode)
405 (define-key calc-mode-map "mr" 'calc-radians-mode)
406 (define-key calc-mode-map "ms" 'calc-symbolic-mode)
407 (define-key calc-mode-map "mt" 'calc-total-algebraic-mode)
408 (define-key calc-mode-map "\emt" 'calc-total-algebraic-mode)
409 (define-key calc-mode-map "\em\et" 'calc-total-algebraic-mode)
410 (define-key calc-mode-map "mv" 'calc-matrix-mode)
411 (define-key calc-mode-map "mw" 'calc-working)
412 (define-key calc-mode-map "mx" 'calc-always-load-extensions)
413 (define-key calc-mode-map "mA" 'calc-alg-simplify-mode)
414 (define-key calc-mode-map "mB" 'calc-bin-simplify-mode)
415 (define-key calc-mode-map "mC" 'calc-auto-recompute)
416 (define-key calc-mode-map "mD" 'calc-default-simplify-mode)
417 (define-key calc-mode-map "mE" 'calc-ext-simplify-mode)
418 (define-key calc-mode-map "mF" 'calc-settings-file-name)
419 (define-key calc-mode-map "mM" 'calc-more-recursion-depth)
420 (define-key calc-mode-map "mN" 'calc-num-simplify-mode)
421 (define-key calc-mode-map "mO" 'calc-no-simplify-mode)
422 (define-key calc-mode-map "mR" 'calc-mode-record-mode)
423 (define-key calc-mode-map "mS" 'calc-shift-prefix)
424 (define-key calc-mode-map "mU" 'calc-units-simplify-mode)
425 (define-key calc-mode-map "mX" 'calc-load-everything)
426
427 (define-key calc-mode-map "r" nil)
428 (define-key calc-mode-map "r?" 'calc-r-prefix-help)
429
430 (define-key calc-mode-map "s" nil)
431 (define-key calc-mode-map "s?" 'calc-s-prefix-help)
432 (define-key calc-mode-map "sc" 'calc-copy-variable)
433 (define-key calc-mode-map "sd" 'calc-declare-variable)
434 (define-key calc-mode-map "se" 'calc-edit-variable)
435 (define-key calc-mode-map "si" 'calc-insert-variables)
436 (define-key calc-mode-map "sl" 'calc-let)
437 (define-key calc-mode-map "sm" 'calc-store-map)
438 (define-key calc-mode-map "sn" 'calc-store-neg)
439 (define-key calc-mode-map "sp" 'calc-permanent-variable)
440 (define-key calc-mode-map "sr" 'calc-recall)
441 (define-key calc-mode-map "ss" 'calc-store)
442 (define-key calc-mode-map "st" 'calc-store-into)
443 (define-key calc-mode-map "su" 'calc-unstore)
444 (define-key calc-mode-map "sx" 'calc-store-exchange)
445 (define-key calc-mode-map "sA" 'calc-edit-AlgSimpRules)
446 (define-key calc-mode-map "sD" 'calc-edit-Decls)
447 (define-key calc-mode-map "sE" 'calc-edit-EvalRules)
448 (define-key calc-mode-map "sF" 'calc-edit-FitRules)
449 (define-key calc-mode-map "sG" 'calc-edit-GenCount)
450 (define-key calc-mode-map "sH" 'calc-edit-Holidays)
451 (define-key calc-mode-map "sI" 'calc-edit-IntegLimit)
452 (define-key calc-mode-map "sL" 'calc-edit-LineStyles)
453 (define-key calc-mode-map "sP" 'calc-edit-PointStyles)
454 (define-key calc-mode-map "sR" 'calc-edit-PlotRejects)
455 (define-key calc-mode-map "sS" 'calc-sin)
456 (define-key calc-mode-map "sT" 'calc-edit-TimeZone)
457 (define-key calc-mode-map "sU" 'calc-edit-Units)
458 (define-key calc-mode-map "sX" 'calc-edit-ExtSimpRules)
459 (define-key calc-mode-map "s+" 'calc-store-plus)
460 (define-key calc-mode-map "s-" 'calc-store-minus)
461 (define-key calc-mode-map "s*" 'calc-store-times)
462 (define-key calc-mode-map "s/" 'calc-store-div)
463 (define-key calc-mode-map "s^" 'calc-store-power)
464 (define-key calc-mode-map "s|" 'calc-store-concat)
465 (define-key calc-mode-map "s&" 'calc-store-inv)
466 (define-key calc-mode-map "s[" 'calc-store-decr)
467 (define-key calc-mode-map "s]" 'calc-store-incr)
468 (define-key calc-mode-map "s:" 'calc-assign)
469 (define-key calc-mode-map "s=" 'calc-evalto)
470
471 (define-key calc-mode-map "t" nil)
472 (define-key calc-mode-map "t?" 'calc-t-prefix-help)
473 (define-key calc-mode-map "tb" 'calc-trail-backward)
474 (define-key calc-mode-map "td" 'calc-trail-display)
475 (define-key calc-mode-map "tf" 'calc-trail-forward)
476 (define-key calc-mode-map "th" 'calc-trail-here)
477 (define-key calc-mode-map "ti" 'calc-trail-in)
478 (define-key calc-mode-map "tk" 'calc-trail-kill)
479 (define-key calc-mode-map "tm" 'calc-trail-marker)
480 (define-key calc-mode-map "tn" 'calc-trail-next)
481 (define-key calc-mode-map "to" 'calc-trail-out)
482 (define-key calc-mode-map "tp" 'calc-trail-previous)
483 (define-key calc-mode-map "tr" 'calc-trail-isearch-backward)
484 (define-key calc-mode-map "ts" 'calc-trail-isearch-forward)
485 (define-key calc-mode-map "ty" 'calc-trail-yank)
486 (define-key calc-mode-map "t[" 'calc-trail-first)
487 (define-key calc-mode-map "t]" 'calc-trail-last)
488 (define-key calc-mode-map "t<" 'calc-trail-scroll-left)
489 (define-key calc-mode-map "t>" 'calc-trail-scroll-right)
490 (define-key calc-mode-map "t{" 'calc-trail-backward)
491 (define-key calc-mode-map "t}" 'calc-trail-forward)
492 (define-key calc-mode-map "t." 'calc-full-trail-vectors)
493 (define-key calc-mode-map "tC" 'calc-convert-time-zones)
494 (define-key calc-mode-map "tD" 'calc-date)
495 (define-key calc-mode-map "tI" 'calc-inc-month)
496 (define-key calc-mode-map "tJ" 'calc-julian)
497 (define-key calc-mode-map "tM" 'calc-new-month)
498 (define-key calc-mode-map "tN" 'calc-now)
499 (define-key calc-mode-map "tP" 'calc-date-part)
500 (define-key calc-mode-map "tT" 'calc-tan)
501 (define-key calc-mode-map "tU" 'calc-unix-time)
502 (define-key calc-mode-map "tW" 'calc-new-week)
503 (define-key calc-mode-map "tY" 'calc-new-year)
504 (define-key calc-mode-map "tZ" 'calc-time-zone)
505 (define-key calc-mode-map "t+" 'calc-business-days-plus)
506 (define-key calc-mode-map "t-" 'calc-business-days-minus)
507
508 (define-key calc-mode-map "u" 'nil)
509 (define-key calc-mode-map "u?" 'calc-u-prefix-help)
510 (define-key calc-mode-map "ua" 'calc-autorange-units)
511 (define-key calc-mode-map "ub" 'calc-base-units)
512 (define-key calc-mode-map "uc" 'calc-convert-units)
513 (define-key calc-mode-map "ud" 'calc-define-unit)
514 (define-key calc-mode-map "ue" 'calc-explain-units)
515 (define-key calc-mode-map "ug" 'calc-get-unit-definition)
516 (define-key calc-mode-map "up" 'calc-permanent-units)
517 (define-key calc-mode-map "ur" 'calc-remove-units)
518 (define-key calc-mode-map "us" 'calc-simplify-units)
519 (define-key calc-mode-map "ut" 'calc-convert-temperature)
520 (define-key calc-mode-map "uu" 'calc-undefine-unit)
521 (define-key calc-mode-map "uv" 'calc-enter-units-table)
522 (define-key calc-mode-map "ux" 'calc-extract-units)
523 (define-key calc-mode-map "uV" 'calc-view-units-table)
524 (define-key calc-mode-map "uC" 'calc-vector-covariance)
525 (define-key calc-mode-map "uG" 'calc-vector-geometric-mean)
526 (define-key calc-mode-map "uM" 'calc-vector-mean)
527 (define-key calc-mode-map "uN" 'calc-vector-min)
528 (define-key calc-mode-map "uS" 'calc-vector-sdev)
529 (define-key calc-mode-map "uU" 'calc-undo)
530 (define-key calc-mode-map "uX" 'calc-vector-max)
531 (define-key calc-mode-map "u#" 'calc-vector-count)
532 (define-key calc-mode-map "u+" 'calc-vector-sum)
533 (define-key calc-mode-map "u*" 'calc-vector-product)
534
535 (define-key calc-mode-map "v" 'nil)
536 (define-key calc-mode-map "v?" 'calc-v-prefix-help)
537 (define-key calc-mode-map "va" 'calc-arrange-vector)
538 (define-key calc-mode-map "vb" 'calc-build-vector)
539 (define-key calc-mode-map "vc" 'calc-mcol)
540 (define-key calc-mode-map "vd" 'calc-diag)
541 (define-key calc-mode-map "ve" 'calc-expand-vector)
542 (define-key calc-mode-map "vf" 'calc-vector-find)
543 (define-key calc-mode-map "vh" 'calc-head)
544 (define-key calc-mode-map "vi" 'calc-ident)
545 (define-key calc-mode-map "vk" 'calc-cons)
546 (define-key calc-mode-map "vl" 'calc-vlength)
547 (define-key calc-mode-map "vm" 'calc-mask-vector)
548 (define-key calc-mode-map "vn" 'calc-rnorm)
549 (define-key calc-mode-map "vp" 'calc-pack)
550 (define-key calc-mode-map "vr" 'calc-mrow)
551 (define-key calc-mode-map "vs" 'calc-subvector)
552 (define-key calc-mode-map "vt" 'calc-transpose)
553 (define-key calc-mode-map "vu" 'calc-unpack)
554 (define-key calc-mode-map "vv" 'calc-reverse-vector)
555 (define-key calc-mode-map "vx" 'calc-index)
556 (define-key calc-mode-map "vA" 'calc-apply)
557 (define-key calc-mode-map "vC" 'calc-cross)
558 (define-key calc-mode-map "vD" 'calc-mdet)
559 (define-key calc-mode-map "vE" 'calc-set-enumerate)
560 (define-key calc-mode-map "vF" 'calc-set-floor)
561 (define-key calc-mode-map "vG" 'calc-grade)
562 (define-key calc-mode-map "vH" 'calc-histogram)
563 (define-key calc-mode-map "vI" 'calc-inner-product)
564 (define-key calc-mode-map "vJ" 'calc-conj-transpose)
565 (define-key calc-mode-map "vL" 'calc-mlud)
566 (define-key calc-mode-map "vM" 'calc-map)
567 (define-key calc-mode-map "vN" 'calc-cnorm)
568 (define-key calc-mode-map "vO" 'calc-outer-product)
569 (define-key calc-mode-map "vR" 'calc-reduce)
570 (define-key calc-mode-map "vS" 'calc-sort)
571 (define-key calc-mode-map "vT" 'calc-mtrace)
572 (define-key calc-mode-map "vU" 'calc-accumulate)
573 (define-key calc-mode-map "vV" 'calc-set-union)
574 (define-key calc-mode-map "vX" 'calc-set-xor)
575 (define-key calc-mode-map "v^" 'calc-set-intersect)
576 (define-key calc-mode-map "v-" 'calc-set-difference)
577 (define-key calc-mode-map "v~" 'calc-set-complement)
578 (define-key calc-mode-map "v:" 'calc-set-span)
579 (define-key calc-mode-map "v#" 'calc-set-cardinality)
580 (define-key calc-mode-map "v+" 'calc-remove-duplicates)
581 (define-key calc-mode-map "v&" 'calc-inv)
582 (define-key calc-mode-map "v<" 'calc-matrix-left-justify)
583 (define-key calc-mode-map "v=" 'calc-matrix-center-justify)
584 (define-key calc-mode-map "v>" 'calc-matrix-right-justify)
585 (define-key calc-mode-map "v." 'calc-full-vectors)
586 (define-key calc-mode-map "v/" 'calc-break-vectors)
587 (define-key calc-mode-map "v," 'calc-vector-commas)
588 (define-key calc-mode-map "v[" 'calc-vector-brackets)
589 (define-key calc-mode-map "v]" 'calc-matrix-brackets)
590 (define-key calc-mode-map "v{" 'calc-vector-braces)
591 (define-key calc-mode-map "v}" 'calc-matrix-brackets)
592 (define-key calc-mode-map "v(" 'calc-vector-parens)
593 (define-key calc-mode-map "v)" 'calc-matrix-brackets)
594 (define-key calc-mode-map "V" (lookup-key calc-mode-map "v"))
595
596 (define-key calc-mode-map "z" 'nil)
597 (define-key calc-mode-map "z?" 'calc-z-prefix-help)
598
599 (define-key calc-mode-map "Z" 'nil)
600 (define-key calc-mode-map "Z?" 'calc-shift-Z-prefix-help)
601 (define-key calc-mode-map "ZC" 'calc-user-define-composition)
602 (define-key calc-mode-map "ZD" 'calc-user-define)
603 (define-key calc-mode-map "ZE" 'calc-user-define-edit)
604 (define-key calc-mode-map "ZF" 'calc-user-define-formula)
605 (define-key calc-mode-map "ZG" 'calc-get-user-defn)
606 (define-key calc-mode-map "ZI" 'calc-user-define-invocation)
607 (define-key calc-mode-map "ZK" 'calc-user-define-kbd-macro)
608 (define-key calc-mode-map "ZP" 'calc-user-define-permanent)
609 (define-key calc-mode-map "ZS" 'calc-edit-user-syntax)
610 (define-key calc-mode-map "ZT" 'calc-timing)
611 (define-key calc-mode-map "ZU" 'calc-user-undefine)
612 (define-key calc-mode-map "Z[" 'calc-kbd-if)
613 (define-key calc-mode-map "Z:" 'calc-kbd-else)
614 (define-key calc-mode-map "Z|" 'calc-kbd-else-if)
615 (define-key calc-mode-map "Z]" 'calc-kbd-end-if)
616 (define-key calc-mode-map "Z<" 'calc-kbd-repeat)
617 (define-key calc-mode-map "Z>" 'calc-kbd-end-repeat)
618 (define-key calc-mode-map "Z(" 'calc-kbd-for)
619 (define-key calc-mode-map "Z)" 'calc-kbd-end-for)
620 (define-key calc-mode-map "Z{" 'calc-kbd-loop)
621 (define-key calc-mode-map "Z}" 'calc-kbd-end-loop)
622 (define-key calc-mode-map "Z/" 'calc-kbd-break)
623 (define-key calc-mode-map "Z`" 'calc-kbd-push)
624 (define-key calc-mode-map "Z'" 'calc-kbd-pop)
625 (define-key calc-mode-map "Z=" 'calc-kbd-report)
626 (define-key calc-mode-map "Z#" 'calc-kbd-query)
627
628 (calc-init-prefixes)
629
630 (mapcar (function
631 (lambda (x)
632 (define-key calc-mode-map (format "c%c" x) 'calc-clean-num)
633 (define-key calc-mode-map (format "j%c" x) 'calc-select-part)
634 (define-key calc-mode-map (format "r%c" x) 'calc-recall-quick)
635 (define-key calc-mode-map (format "s%c" x) 'calc-store-quick)
636 (define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick)
637 (define-key calc-mode-map (format "u%c" x) 'calc-quick-units)))
638 "0123456789")
639
640 (or calc-emacs-type-19 (progn
641 (let ((i ?A))
642 (while (and (<= i ?z) (vectorp calc-mode-map))
643 (if (eq (car-safe (aref calc-mode-map i)) 'keymap)
644 (aset calc-mode-map i
645 (cons 'keymap (cons (cons ?\e (aref calc-mode-map i))
646 (cdr (aref calc-mode-map i))))))
647 (setq i (1+ i))))
648
649 (setq calc-alg-map (copy-sequence calc-mode-map)
650 calc-alg-esc-map (copy-sequence esc-map))
651 (let ((i 32))
652 (while (< i 127)
653 (or (memq i '(?' ?` ?= ??))
654 (aset calc-alg-map i 'calc-auto-algebraic-entry))
655 (or (memq i '(?# ?x ?0 ?1 ?2 ?3 ?4 ?5 ?6 ?7 ?8 ?9))
656 (aset calc-alg-esc-map i (aref calc-mode-map i)))
657 (setq i (1+ i))))
658 (define-key calc-alg-map "\e" calc-alg-esc-map)
659 (define-key calc-alg-map "\e\t" 'calc-roll-up)
660 (define-key calc-alg-map "\e\C-m" 'calc-last-args-stub)
661 (define-key calc-alg-map "\e\177" 'calc-pop-above)
662 ))
663
664 ;; The following is a relic for backward compatability only.
665 ;; The calc-define property list is now the recommended method.
666 (if (and (boundp 'calc-ext-defs)
667 calc-ext-defs)
668 (progn
669 (calc-need-macros)
670 (message "Evaluating calc-ext-defs...")
671 (eval (cons 'progn calc-ext-defs))
672 (setq calc-ext-defs nil)))
673
674 ;;;; (Autoloads here)
675 (mapcar (function (lambda (x)
676 (mapcar (function (lambda (func)
677 (autoload func (car x)))) (cdr x))))
678 '(
679
680 ("calc-alg" calc-Need-calc-alg calc-has-rules
681 calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
682 calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
683 calcFunc-simplify calcFunc-subst math-beforep
684 math-build-polynomial-expr math-expand-formula math-expr-contains
685 math-expr-contains-count math-expr-depends math-expr-height
686 math-expr-subst math-expr-weight math-integer-plus math-is-linear
687 math-is-multiple math-is-polynomial math-linear-in math-multiple-of
688 math-need-std-simps math-poly-depends math-poly-mix math-poly-mul
689 math-poly-simplify math-poly-zerop math-polynomial-base
690 math-polynomial-p math-recompile-eval-rules math-simplify
691 math-simplify-exp math-simplify-extended math-simplify-sqrt
692 math-to-simple-fraction)
693
694 ("calcalg2" calc-Need-calc-alg-2 calcFunc-asum calcFunc-deriv
695 calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly
696 calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots
697 calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor
698 calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12
699 math-integral-rational-funcs math-lcm-denoms math-looks-evenp
700 math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn
701 math-solve-for math-sum-rec math-try-integral)
702
703 ("calcalg3" calc-Need-calc-alg-3 calcFunc-efit calcFunc-fit
704 calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar
705 calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize
706 calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint
707 calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot
708 calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate
709 math-ninteg-midpoint math-ninteg-romberg math-poly-interp)
710
711 ("calc-arith" calc-Need-calc-arith calcFunc-abs calcFunc-abssqr
712 calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag
713 calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg
714 calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd
715 calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
716 calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
717 calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
718 calcFunc-idiv calcFunc-incr calcFunc-mant calcFunc-max calcFunc-min
719 calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
720 calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
721 calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
722 math-add-objects-fancy math-add-or-sub math-add-symb-fancy
723 math-ceiling math-combine-prod math-combine-sum math-div-by-zero
724 math-div-objects-fancy math-div-symb-fancy math-div-zero
725 math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg
726 math-intv-constp math-known-evenp math-known-imagp math-known-integerp
727 math-known-matrixp math-known-negp math-known-nonnegp
728 math-known-nonposp math-known-nonzerop math-known-num-integerp
729 math-known-oddp math-known-posp math-known-realp math-known-scalarp
730 math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy
731 math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy
732 math-neg-float math-okay-neg math-possible-signs math-possible-types
733 math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero
734 math-quarter-integer math-round math-setup-declarations math-sqr
735 math-sqr-float math-trunc-fancy math-trunc-special)
736
737 ("calc-bin" calc-Need-calc-bin calcFunc-and calcFunc-ash
738 calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or
739 calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip
740 math-compute-max-digits math-convert-radix-digits math-float-parts
741 math-format-bignum-binary math-format-bignum-hex
742 math-format-bignum-octal math-format-bignum-radix math-format-binary
743 math-format-radix math-format-radix-float math-integer-log2
744 math-power-of-2 math-radix-float-power)
745
746 ("calc-comb" calc-Need-calc-comb calc-report-prime-test
747 calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact
748 calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime
749 calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime
750 calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2
751 calcFunc-totient math-init-random-base math-member math-prime-test
752 math-random-base)
753
754 ("calccomp" calc-Need-calc-comp calcFunc-cascent calcFunc-cdescent
755 calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent
756 math-comp-height math-comp-width math-compose-expr
757 math-composition-to-string math-stack-value-offset-fancy
758 math-vector-is-string math-vector-to-string)
759
760 ("calc-cplx" calc-Need-calc-cplx calcFunc-arg calcFunc-conj
761 calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex
762 math-fix-circular math-imaginary math-imaginary-i math-normalize-polar
763 math-polar math-want-polar)
764
765 ("calc-embed" calc-Need-calc-embed calc-do-embedded
766 calc-do-embedded-activate calc-embedded-evaluate-expr
767 calc-embedded-modes-change calc-embedded-var-change)
768
769 ("calc-fin" calc-Need-calc-fin calc-to-percentage calcFunc-ddb
770 calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb
771 calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb
772 calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl
773 calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd)
774
775 ("calc-forms" calc-Need-calc-forms calcFunc-badd calcFunc-bsub
776 calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms
777 calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear
778 calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute
779 calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear
780 calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second
781 calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime
782 calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals
783 math-date-parts math-date-to-dt math-div-mod math-dt-to-date
784 math-format-date math-from-business-day math-from-hms math-make-intv
785 math-make-mod math-make-sdev math-mod-intv math-normalize-hms
786 math-normalize-mod math-parse-date math-read-angle-brackets
787 math-setup-add-holidays math-setup-holidays math-setup-year-holidays
788 math-sort-intv math-to-business-day math-to-hms)
789
790 ("calc-frac" calc-Need-calc-frac calc-add-fractions
791 calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac
792 math-make-frac)
793
794 ("calc-funcs" calc-Need-calc-funcs calc-prob-dist calcFunc-bern
795 calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB
796 calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler
797 calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ
798 calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf
799 calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc
800 calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt
801 math-bernoulli-number math-gammap1-raw)
802
803 ("calc-graph" calc-Need-calc-graph calc-graph-show-tty)
804
805 ("calc-help" calc-Need-calc-help)
806
807 ("calc-incom" calc-Need-calc-incom calc-digit-dots)
808
809 ("calc-keypd" calc-Need-calc-keypd calc-do-keypad
810 calc-keypad-x-left-click calc-keypad-x-middle-click
811 calc-keypad-x-right-click)
812
813 ("calc-lang" calc-Need-calc-lang calc-set-language
814 math-read-big-balance math-read-big-rec)
815
816 ("calc-map" calc-Need-calc-map calc-get-operator calcFunc-accum
817 calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call
818 calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc
819 calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr
820 calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum
821 calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced
822 calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec
823 calcFunc-rreduced calcFunc-rreducer math-build-call
824 math-calcFunc-to-var math-multi-subst math-multi-subst-rec
825 math-var-to-calcFunc)
826
827 ("calc-mtx" calc-Need-calc-mat calcFunc-det calcFunc-lud calcFunc-tr
828 math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud
829 math-mul-mat-vec math-mul-mats math-row-matrix)
830
831 ("calc-math" calc-Need-calc-math calcFunc-alog calcFunc-arccos
832 calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh
833 calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-cos
834 calcFunc-cosh calcFunc-deg calcFunc-exp calcFunc-exp10 calcFunc-expm1
835 calcFunc-hypot calcFunc-ilog calcFunc-isqrt calcFunc-ln calcFunc-lnp1
836 calcFunc-log calcFunc-log10 calcFunc-nroot calcFunc-rad calcFunc-sin
837 calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan
838 calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw
839 math-arctan2-raw math-cos-raw math-exp-minus-1-raw math-exp-raw
840 math-from-radians math-from-radians-2 math-hypot math-infinite-dir
841 math-isqrt-small math-ln-raw math-nearly-equal math-nearly-equal-float
842 math-nearly-zerop math-nearly-zerop-float math-nth-root
843 math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw
844 math-tan-raw math-to-radians math-to-radians-2)
845
846 ("calc-mode" calc-Need-calc-mode math-get-modes-vec)
847
848 ("calc-poly" calc-Need-calc-poly calcFunc-apart calcFunc-expand
849 calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat
850 calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide
851 calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim
852 calcFunc-prem math-accum-factors math-atomic-factorp
853 math-div-poly-const math-div-thru math-expand-power math-expand-term
854 math-factor-contains math-factor-expr math-factor-expr-part
855 math-factor-expr-try math-factor-finish math-factor-poly-coefs
856 math-factor-protect math-mul-thru math-padded-polynomial
857 math-partial-fractions math-poly-degree math-poly-deriv-coefs
858 math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p
859 math-to-ratpoly math-to-ratpoly-rec)
860
861 ("calc-prog" calc-Need-calc-prog calc-default-formula-arglist
862 calc-execute-kbd-macro calc-finish-user-syntax-edit
863 calc-fix-token-name calc-fix-user-formula calc-read-parse-table
864 calc-read-parse-table-part calc-subsetp calc-write-parse-table
865 calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq
866 calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue
867 calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt
868 calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real
869 calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable
870 math-body-refers-to math-break math-composite-inequalities
871 math-do-defmath math-handle-for math-handle-foreach
872 math-normalize-logical-op math-return)
873
874 ("calc-rewr" calc-Need-calc-rewr calcFunc-match calcFunc-matches
875 calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches
876 math-apply-rewrites math-compile-patterns math-compile-rewrites
877 math-flatten-lands math-match-patterns math-rewrite
878 math-rewrite-heads)
879
880 ("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules
881 calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules
882 calc-MergeRules calc-Need-calc-rules calc-NegateRules
883 calc-compile-rule-set)
884
885 ("calc-sel" calc-Need-calc-sel calc-auto-selection
886 calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula
887 calc-find-parent-formula calc-find-sub-formula calc-prepare-selection
888 calc-preserve-point calc-replace-selections calc-replace-sub-formula
889 calc-roll-down-with-selections calc-roll-up-with-selections
890 calc-sel-error)
891
892 ("calcsel2" calc-Need-calc-sel-2)
893
894 ("calc-stat" calc-Need-calc-stat calc-vector-op calcFunc-agmean
895 calcFunc-vcorr calcFunc-vcount calcFunc-vcov calcFunc-vflat
896 calcFunc-vgmean calcFunc-vhmean calcFunc-vmax calcFunc-vmean
897 calcFunc-vmeane calcFunc-vmedian calcFunc-vmin calcFunc-vpcov
898 calcFunc-vprod calcFunc-vpsdev calcFunc-vpvar calcFunc-vsdev
899 calcFunc-vsum calcFunc-vvar math-flatten-many-vecs)
900
901 ("calc-store" calc-Need-calc-store calc-read-var-name
902 calc-store-value calc-var-name)
903
904 ("calc-stuff" calc-Need-calc-stuff calc-explain-why calcFunc-clean
905 calcFunc-pclean calcFunc-pfloat calcFunc-pfrac)
906
907 ("calc-trail" calc-Need-calc-trail)
908
909 ("calc-undo" calc-Need-calc-undo)
910
911 ("calc-units" calc-Need-calc-units calcFunc-usimplify
912 math-build-units-table math-build-units-table-buffer
913 math-check-unit-name math-convert-temperature math-convert-units
914 math-extract-units math-remove-units math-simplify-units
915 math-single-units-in-expr-p math-to-standard-units
916 math-units-in-expr-p)
917
918 ("calc-vec" calc-Need-calc-vec calcFunc-append calcFunc-appendrev
919 calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross
920 calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find
921 calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram
922 calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims
923 calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack
924 calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade
925 calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec
926 calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec
927 calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt
928 calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev
929 calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp
930 calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask
931 calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack
932 calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix
933 math-dimension-error math-dot-product math-flatten-vector math-map-vec
934 math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set
935 math-read-brackets math-reduce-cols math-reduce-vec math-transpose)
936
937 ("calc-yank" calc-Need-calc-yank calc-alg-edit calc-clean-newlines
938 calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit
939 calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer)
940
941 ))
942
943 (mapcar (function (lambda (x)
944 (mapcar (function (lambda (cmd)
945 (autoload cmd (car x) nil t))) (cdr x))))
946 '(
947
948 ("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
949 calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
950 calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
951 calc-simplify-extended calc-substitute)
952
953 ("calcalg2" calc-alt-summation calc-derivative
954 calc-dump-integral-cache calc-integral calc-num-integral
955 calc-poly-roots calc-product calc-solve-for calc-summation
956 calc-tabulate calc-taylor)
957
958 ("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum
959 calc-find-root calc-poly-interp)
960
961 ("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement
962 calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min
963 calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part)
964
965 ("calc-bin" calc-and calc-binary-radix calc-clip calc-decimal-radix
966 calc-diff calc-hex-radix calc-leading-zeros calc-lshift-arith
967 calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix
968 calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size
969 calc-xor)
970
971 ("calc-comb" calc-choose calc-double-factorial calc-extended-gcd
972 calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius
973 calc-next-prime calc-perm calc-prev-prime calc-prime-factors
974 calc-prime-test calc-random calc-random-again calc-rrandom
975 calc-shuffle calc-totient)
976
977 ("calc-cplx" calc-argument calc-complex-notation calc-i-notation
978 calc-im calc-j-notation calc-polar calc-polar-mode calc-re)
979
980 ("calc-embed" calc-embedded-copy-formula-as-kill
981 calc-embedded-duplicate calc-embedded-edit calc-embedded-forget
982 calc-embedded-kill-formula calc-embedded-mark-formula
983 calc-embedded-new-formula calc-embedded-next calc-embedded-previous
984 calc-embedded-select calc-embedded-update-formula calc-embedded-word
985 calc-find-globals calc-show-plain)
986
987 ("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv
988 calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv
989 calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change)
990
991 ("calc-forms" calc-business-days-minus calc-business-days-plus
992 calc-convert-time-zones calc-date calc-date-notation calc-date-part
993 calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month
994 calc-julian calc-new-month calc-new-week calc-new-year calc-now
995 calc-time calc-time-zone calc-to-hms calc-unix-time)
996
997 ("calc-frac" calc-fdiv calc-frac-mode calc-fraction
998 calc-over-notation calc-slash-notation)
999
1000 ("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y
1001 calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta
1002 calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf
1003 calc-utpn calc-utpp calc-utpt)
1004
1005 ("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border
1006 calc-graph-clear calc-graph-command calc-graph-delete
1007 calc-graph-device calc-graph-display calc-graph-fast
1008 calc-graph-fast-3d calc-graph-geometry calc-graph-grid
1009 calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key
1010 calc-graph-kill calc-graph-line-style calc-graph-log-x
1011 calc-graph-log-y calc-graph-log-z calc-graph-name
1012 calc-graph-num-points calc-graph-output calc-graph-plot
1013 calc-graph-point-style calc-graph-print calc-graph-quit
1014 calc-graph-range-x calc-graph-range-y calc-graph-range-z
1015 calc-graph-show-dumb calc-graph-title-x calc-graph-title-y
1016 calc-graph-title-z calc-graph-view-commands calc-graph-view-trail
1017 calc-graph-zero-x calc-graph-zero-y)
1018
1019 ("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help
1020 calc-d-prefix-help calc-describe-function calc-describe-key
1021 calc-describe-key-briefly calc-describe-variable calc-f-prefix-help
1022 calc-full-help calc-g-prefix-help calc-help-prefix
1023 calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help
1024 calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help
1025 calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help
1026 calc-t-prefix-help calc-u-prefix-help calc-v-prefix-help)
1027
1028 ("calc-incom" calc-begin-complex calc-begin-vector calc-comma
1029 calc-dots calc-end-complex calc-end-vector calc-semi)
1030
1031 ("calc-keypd" calc-keypad-menu calc-keypad-menu-back
1032 calc-keypad-press)
1033
1034 ("calc-lang" calc-big-language calc-c-language calc-eqn-language
1035 calc-flat-language calc-fortran-language calc-maple-language
1036 calc-mathematica-language calc-normal-language calc-pascal-language
1037 calc-tex-language calc-unformatted-language)
1038
1039 ("calc-map" calc-accumulate calc-apply calc-inner-product calc-map
1040 calc-map-equation calc-map-stack calc-outer-product calc-reduce)
1041
1042 ("calc-mtx" calc-mdet calc-mlud calc-mtrace)
1043
1044 ("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh
1045 calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh
1046 calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog
1047 calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10
1048 calc-pi calc-radians-mode calc-sin calc-sincos calc-sinh calc-sqrt
1049 calc-tan calc-tanh calc-to-degrees calc-to-radians)
1050
1051 ("calc-mode" calc-alg-simplify-mode calc-algebraic-mode
1052 calc-always-load-extensions calc-auto-recompute calc-auto-why
1053 calc-bin-simplify-mode calc-break-vectors calc-center-justify
1054 calc-default-simplify-mode calc-display-raw calc-eng-notation
1055 calc-ext-simplify-mode calc-fix-notation calc-full-trail-vectors
1056 calc-full-vectors calc-get-modes calc-group-char calc-group-digits
1057 calc-infinite-mode calc-left-justify calc-left-label
1058 calc-line-breaking calc-line-numbering calc-matrix-brackets
1059 calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode
1060 calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode
1061 calc-normal-notation calc-num-simplify-mode calc-point-char
1062 calc-right-justify calc-right-label calc-save-modes calc-sci-notation
1063 calc-settings-file-name calc-shift-prefix calc-symbolic-mode
1064 calc-total-algebraic-mode calc-truncate-down calc-truncate-stack
1065 calc-truncate-up calc-units-simplify-mode calc-vector-braces
1066 calc-vector-brackets calc-vector-commas calc-vector-parens
1067 calc-working)
1068
1069 ("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax
1070 calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
1071 calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if
1072 calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat
1073 calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push
1074 calc-kbd-query calc-kbd-repeat calc-kbd-report calc-less-equal
1075 calc-less-than calc-logical-and calc-logical-if calc-logical-not
1076 calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal
1077 calc-timing calc-user-define calc-user-define-composition
1078 calc-user-define-edit calc-user-define-formula
1079 calc-user-define-invocation calc-user-define-kbd-macro
1080 calc-user-define-permanent calc-user-undefine)
1081
1082 ("calc-rewr" calc-match calc-rewrite calc-rewrite-selection)
1083
1084 ("calc-sel" calc-break-selections calc-clear-selections
1085 calc-copy-selection calc-del-selection calc-edit-selection
1086 calc-enable-selections calc-enter-selection calc-sel-add-both-sides
1087 calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula
1088 calc-sel-mult-both-sides calc-sel-sub-both-sides
1089 calc-select-additional calc-select-here calc-select-here-maybe
1090 calc-select-less calc-select-more calc-select-next calc-select-once
1091 calc-select-once-maybe calc-select-part calc-select-previous
1092 calc-show-selections calc-unselect)
1093
1094 ("calcsel2" calc-commute-left calc-commute-right calc-sel-commute
1095 calc-sel-distribute calc-sel-invert calc-sel-isolate
1096 calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack)
1097
1098 ("calc-stat" calc-vector-correlation calc-vector-count
1099 calc-vector-covariance calc-vector-geometric-mean
1100 calc-vector-harmonic-mean calc-vector-max calc-vector-mean
1101 calc-vector-mean-error calc-vector-median calc-vector-min
1102 calc-vector-pop-covariance calc-vector-pop-sdev
1103 calc-vector-pop-variance calc-vector-product calc-vector-sdev
1104 calc-vector-sum calc-vector-variance)
1105
1106 ("calc-store" calc-assign calc-copy-variable calc-declare-variable
1107 calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules
1108 calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount
1109 calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles
1110 calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone
1111 calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables
1112 calc-let calc-permanent-variable calc-recall calc-recall-quick
1113 calc-store calc-store-concat calc-store-decr calc-store-div
1114 calc-store-exchange calc-store-incr calc-store-into
1115 calc-store-into-quick calc-store-inv calc-store-map calc-store-minus
1116 calc-store-neg calc-store-plus calc-store-power calc-store-quick
1117 calc-store-times calc-subscript calc-unstore)
1118
1119 ("calc-stuff" calc-clean calc-clean-num calc-flush-caches
1120 calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix
1121 calc-version calc-why)
1122
1123 ("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward
1124 calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward
1125 calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next
1126 calc-trail-out calc-trail-previous calc-trail-scroll-left
1127 calc-trail-scroll-right calc-trail-yank)
1128
1129 ("calc-undo" calc-last-args calc-redo calc-undo)
1130
1131 ("calc-units" calc-autorange-units calc-base-units
1132 calc-convert-temperature calc-convert-units calc-define-unit
1133 calc-enter-units-table calc-explain-units calc-extract-units
1134 calc-get-unit-definition calc-permanent-units calc-quick-units
1135 calc-remove-units calc-simplify-units calc-undefine-unit
1136 calc-view-units-table)
1137
1138 ("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm
1139 calc-conj-transpose calc-cons calc-cross calc-diag
1140 calc-display-strings calc-expand-vector calc-grade calc-head
1141 calc-histogram calc-ident calc-index calc-mask-vector calc-mcol
1142 calc-mrow calc-pack calc-pack-bits calc-remove-duplicates
1143 calc-reverse-vector calc-rnorm calc-set-cardinality
1144 calc-set-complement calc-set-difference calc-set-enumerate
1145 calc-set-floor calc-set-intersect calc-set-span calc-set-union
1146 calc-set-xor calc-sort calc-subvector calc-tail calc-transpose
1147 calc-unpack calc-unpack-bits calc-vector-find calc-vlength)
1148
1149 ("calc-yank" calc-copy-as-kill calc-copy-region-as-kill
1150 calc-copy-to-buffer calc-edit calc-edit-cancel calc-edit-mode
1151 calc-kill calc-kill-region calc-yank))))
1152
1153 (defun calc-init-prefixes ()
1154 (if calc-shift-prefix
1155 (progn
1156 (define-key calc-mode-map "A" (lookup-key calc-mode-map "a"))
1157 (define-key calc-mode-map "B" (lookup-key calc-mode-map "b"))
1158 (define-key calc-mode-map "C" (lookup-key calc-mode-map "c"))
1159 (define-key calc-mode-map "D" (lookup-key calc-mode-map "d"))
1160 (define-key calc-mode-map "F" (lookup-key calc-mode-map "f"))
1161 (define-key calc-mode-map "G" (lookup-key calc-mode-map "g"))
1162 (define-key calc-mode-map "J" (lookup-key calc-mode-map "j"))
1163 (define-key calc-mode-map "K" (lookup-key calc-mode-map "k"))
1164 (define-key calc-mode-map "M" (lookup-key calc-mode-map "m"))
1165 (define-key calc-mode-map "S" (lookup-key calc-mode-map "s"))
1166 (define-key calc-mode-map "T" (lookup-key calc-mode-map "t"))
1167 (define-key calc-mode-map "U" (lookup-key calc-mode-map "u")))
1168 (define-key calc-mode-map "A" 'calc-abs)
1169 (define-key calc-mode-map "B" 'calc-log)
1170 (define-key calc-mode-map "C" 'calc-cos)
1171 (define-key calc-mode-map "D" 'calc-redo)
1172 (define-key calc-mode-map "F" 'calc-floor)
1173 (define-key calc-mode-map "G" 'calc-argument)
1174 (define-key calc-mode-map "J" 'calc-conj)
1175 (define-key calc-mode-map "K" 'calc-keep-args)
1176 (define-key calc-mode-map "M" 'calc-more-recursion-depth)
1177 (define-key calc-mode-map "S" 'calc-sin)
1178 (define-key calc-mode-map "T" 'calc-tan)
1179 (define-key calc-mode-map "U" 'calc-undo)))
1180
1181 (calc-init-extensions)
1182
1183
1184
1185
1186 ;;;; Miscellaneous.
1187
1188 (defun calc-clear-command-flag (f)
1189 (setq calc-command-flags (delq f calc-command-flags)))
1190
1191
1192 (defun calc-record-message (tag &rest args)
1193 (let ((msg (apply 'format args)))
1194 (message "%s" msg)
1195 (calc-record msg tag))
1196 (calc-clear-command-flag 'clear-message))
1197
1198
1199 (defun calc-normalize-fancy (val)
1200 (let ((simp (if (consp calc-simplify-mode)
1201 (car calc-simplify-mode)
1202 calc-simplify-mode)))
1203 (cond ((eq simp 'binary)
1204 (let ((s (math-normalize val)))
1205 (if (math-realp s)
1206 (math-clip (math-round s))
1207 s)))
1208 ((eq simp 'alg)
1209 (math-simplify val))
1210 ((eq simp 'ext)
1211 (math-simplify-extended val))
1212 ((eq simp 'units)
1213 (math-simplify-units val))
1214 (t ; nil, none, num
1215 (math-normalize val)))))
1216
1217
1218
1219 (if (boundp 'calc-help-map)
1220 nil
1221 (setq calc-help-map (make-keymap))
1222 (define-key calc-help-map "b" 'calc-describe-bindings)
1223 (define-key calc-help-map "c" 'calc-describe-key-briefly)
1224 (define-key calc-help-map "f" 'calc-describe-function)
1225 (define-key calc-help-map "h" 'calc-full-help)
1226 (define-key calc-help-map "i" 'calc-info)
1227 (define-key calc-help-map "k" 'calc-describe-key)
1228 (define-key calc-help-map "n" 'calc-view-news)
1229 (define-key calc-help-map "s" 'calc-info-summary)
1230 (define-key calc-help-map "t" 'calc-tutorial)
1231 (define-key calc-help-map "v" 'calc-describe-variable)
1232 (define-key calc-help-map "\C-c" 'calc-describe-copying)
1233 (define-key calc-help-map "\C-d" 'calc-describe-distribution)
1234 (define-key calc-help-map "\C-n" 'calc-view-news)
1235 (define-key calc-help-map "\C-w" 'calc-describe-no-warranty)
1236 (define-key calc-help-map "?" 'calc-help-for-help)
1237 (define-key calc-help-map "\C-h" 'calc-help-for-help))
1238
1239 (defvar calc-prefix-help-phase 0)
1240 (defun calc-do-prefix-help (msgs group key)
1241 (if calc-full-help-flag
1242 (list msgs group key)
1243 (if (cdr msgs)
1244 (progn
1245 (setq calc-prefix-help-phase
1246 (if (eq this-command last-command)
1247 (% (1+ calc-prefix-help-phase) (1+ (length msgs)))
1248 0))
1249 (let ((msg (nth calc-prefix-help-phase msgs)))
1250 (message "%s" (if msg
1251 (concat group ": " msg ":"
1252 (make-string
1253 (- (apply 'max (mapcar 'length msgs))
1254 (length msg)) 32)
1255 " [MORE]"
1256 (if key
1257 (concat " " (char-to-string key)
1258 "-")
1259 ""))
1260 (if key (format "%c-" key) "")))))
1261 (setq calc-prefix-help-phase 0)
1262 (if key
1263 (if msgs
1264 (message "%s: %s: %c-" group (car msgs) key)
1265 (message "%s: (none) %c-" group (car msgs) key))
1266 (message "%s: %s" group (car msgs))))
1267 (and key (calc-unread-command key))))
1268
1269 ;;;; Commands.
1270
1271
1272 ;;; General.
1273
1274 (defun calc-reset (arg)
1275 (interactive "P")
1276 (save-excursion
1277 (or (eq major-mode 'calc-mode)
1278 (calc-create-buffer))
1279 (if calc-embedded-info
1280 (calc-embedded nil))
1281 (or arg
1282 (setq calc-stack nil))
1283 (setq calc-undo-list nil
1284 calc-redo-list nil)
1285 (let (calc-stack calc-user-parse-tables calc-standard-date-formats
1286 calc-invocation-macro)
1287 (mapcar (function (lambda (v) (set v nil))) calc-local-var-list)
1288 (mapcar (function (lambda (v) (set (car v) (nth 1 v))))
1289 calc-mode-var-list))
1290 (calc-set-language nil nil t)
1291 (calc-mode)
1292 (calc-flush-caches t)
1293 (run-hooks 'calc-reset-hook))
1294 (calc-wrapper
1295 (let ((win (get-buffer-window (current-buffer))))
1296 (calc-realign 0)
1297 (if win
1298 (let ((height (- (window-height win) 2)))
1299 (set-window-point win (point))
1300 (or (= height calc-window-height)
1301 (let ((swin (selected-window)))
1302 (select-window win)
1303 (enlarge-window (- calc-window-height height))
1304 (select-window swin)))))))
1305 (message "(Calculator reset)"))
1306
1307 ;; What a pain; scroll-left behaves differently when called non-interactively.
1308 (defun calc-scroll-left (n)
1309 (interactive "P")
1310 (setq prefix-arg (or n (/ (window-width) 2)))
1311 (call-interactively #'scroll-left))
1312
1313 (defun calc-scroll-right (n)
1314 (interactive "P")
1315 (setq prefix-arg (or n (/ (window-width) 2)))
1316 (call-interactively #'scroll-right))
1317
1318 (defun calc-scroll-up (n)
1319 (interactive "P")
1320 (condition-case err
1321 (scroll-up (or n (/ (window-height) 2)))
1322 (error nil))
1323 (if (pos-visible-in-window-p (max 1 (- (point-max) 2)))
1324 (if (eq major-mode 'calc-mode)
1325 (calc-realign)
1326 (goto-char (point-max))
1327 (set-window-start (selected-window)
1328 (save-excursion
1329 (forward-line (- (1- (window-height))))
1330 (point)))
1331 (forward-line -1))))
1332
1333 (defun calc-scroll-down (n)
1334 (interactive "P")
1335 (or (pos-visible-in-window-p 1)
1336 (scroll-down (or n (/ (window-height) 2)))))
1337
1338
1339 (defun calc-precision (n)
1340 (interactive "NPrecision: ")
1341 (calc-wrapper
1342 (if (< (prefix-numeric-value n) 3)
1343 (error "Precision must be at least 3 digits")
1344 (calc-change-mode 'calc-internal-prec (prefix-numeric-value n)
1345 (and (memq (car calc-float-format) '(float sci eng))
1346 (< (nth 1 calc-float-format)
1347 (if (= calc-number-radix 10) 0 1))))
1348 (calc-record calc-internal-prec "prec"))
1349 (message "Floating-point precision is %d digits" calc-internal-prec)))
1350
1351
1352 (defun calc-inverse (&optional n)
1353 (interactive "P")
1354 (calc-fancy-prefix 'calc-inverse-flag "Inverse..." n))
1355
1356 (defconst calc-fancy-prefix-map
1357 (let ((map (make-sparse-keymap)))
1358 (define-key map [t] 'calc-fancy-prefix-other-key)
1359 (define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key)
1360 (define-key map [switch-frame] nil)
1361 (define-key map [?\C-u] 'universal-argument)
1362 (define-key map [?0] 'digit-argument)
1363 (define-key map [?1] 'digit-argument)
1364 (define-key map [?2] 'digit-argument)
1365 (define-key map [?3] 'digit-argument)
1366 (define-key map [?4] 'digit-argument)
1367 (define-key map [?5] 'digit-argument)
1368 (define-key map [?6] 'digit-argument)
1369 (define-key map [?7] 'digit-argument)
1370 (define-key map [?8] 'digit-argument)
1371 (define-key map [?9] 'digit-argument)
1372 map)
1373 "Keymap used while processing calc-fancy-prefix.")
1374
1375 (defvar calc-is-keypad-press nil)
1376 (defun calc-fancy-prefix (flag msg n)
1377 (let (prefix)
1378 (calc-wrapper
1379 (calc-set-command-flag 'keep-flags)
1380 (calc-set-command-flag 'no-align)
1381 (setq prefix (set flag (not (symbol-value flag)))
1382 prefix-arg n)
1383 (message (if prefix msg "")))
1384 (and prefix
1385 (not calc-is-keypad-press)
1386 (if (boundp 'overriding-terminal-local-map)
1387 (setq overriding-terminal-local-map calc-fancy-prefix-map)
1388 (let ((event (calc-read-key t)))
1389 (if (eq (setq last-command-char (car event)) ?\C-u)
1390 (universal-argument)
1391 (if (or (not (integerp last-command-char))
1392 (and (>= last-command-char 0) (< last-command-char ? )
1393 (not (memq last-command-char '(?\e)))))
1394 (calc-wrapper)) ; clear flags if not a Calc command.
1395 (if calc-emacs-type-19
1396 (setq last-command-event (cdr event)))
1397 (if (or (not (integerp last-command-char))
1398 (eq last-command-char ?-))
1399 (calc-unread-command)
1400 (digit-argument n))))))))
1401
1402 (defun calc-fancy-prefix-other-key (arg)
1403 (interactive "P")
1404 (if (or (not (integerp last-command-char))
1405 (and (>= last-command-char 0) (< last-command-char ? )
1406 (not (eq last-command-char meta-prefix-char))))
1407 (calc-wrapper)) ; clear flags if not a Calc command.
1408 (calc-unread-command)
1409 (setq overriding-terminal-local-map nil))
1410
1411 (defun calc-invert-func ()
1412 (save-excursion
1413 (calc-select-buffer)
1414 (setq calc-inverse-flag (not (calc-is-inverse))
1415 calc-hyperbolic-flag (calc-is-hyperbolic)
1416 current-prefix-arg nil)))
1417
1418 (defun calc-is-inverse ()
1419 calc-inverse-flag)
1420
1421 (defun calc-hyperbolic (&optional n)
1422 (interactive "P")
1423 (calc-fancy-prefix 'calc-hyperbolic-flag "Hyperbolic..." n))
1424
1425 (defun calc-hyperbolic-func ()
1426 (save-excursion
1427 (calc-select-buffer)
1428 (setq calc-inverse-flag (calc-is-inverse)
1429 calc-hyperbolic-flag (not (calc-is-hyperbolic))
1430 current-prefix-arg nil)))
1431
1432 (defun calc-is-hyperbolic ()
1433 calc-hyperbolic-flag)
1434
1435 (defun calc-keep-args (&optional n)
1436 (interactive "P")
1437 (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
1438
1439
1440 (defun calc-change-mode (var value &optional refresh option)
1441 (if option
1442 (setq value (if value
1443 (> (prefix-numeric-value value) 0)
1444 (not (symbol-value var)))))
1445 (or (consp var) (setq var (list var) value (list value)))
1446 (if calc-inverse-flag
1447 (let ((old nil))
1448 (or refresh (error "Not a display-mode command"))
1449 (calc-check-stack 1)
1450 (unwind-protect
1451 (let ((v var))
1452 (while v
1453 (setq old (cons (symbol-value (car v)) old))
1454 (set (car v) (car value))
1455 (setq v (cdr v)
1456 value (cdr value)))
1457 (calc-refresh-top 1)
1458 (calc-refresh-evaltos)
1459 (symbol-value (car var)))
1460 (let ((v var))
1461 (setq old (nreverse old))
1462 (while v
1463 (set (car v) (car old))
1464 (setq v (cdr v)
1465 old (cdr old)))
1466 (if (eq (car var) 'calc-language)
1467 (calc-set-language calc-language calc-language-option t)))))
1468 (let ((chg nil)
1469 (v var))
1470 (while v
1471 (or (equal (symbol-value (car v)) (car value))
1472 (progn
1473 (set (car v) (car value))
1474 (if (eq (car v) 'calc-float-format)
1475 (setq calc-full-float-format
1476 (list (if (eq (car (car value)) 'fix)
1477 'float
1478 (car (car value)))
1479 0)))
1480 (setq chg t)))
1481 (setq v (cdr v)
1482 value (cdr value)))
1483 (if chg
1484 (progn
1485 (or (and refresh (calc-do-refresh))
1486 (calc-refresh-evaltos))
1487 (and (eq calc-mode-save-mode 'save)
1488 (not (equal var '(calc-mode-save-mode)))
1489 (calc-save-modes))))
1490 (if calc-embedded-info (calc-embedded-modes-change var))
1491 (symbol-value (car var)))))
1492
1493 (defun calc-toggle-banner ()
1494 "Toggle display of the friendly greeting calc normally shows above the stack."
1495 (interactive)
1496 (setq calc-show-banner (not calc-show-banner))
1497 (calc-refresh))
1498
1499 (defun calc-refresh-top (n)
1500 (interactive "p")
1501 (calc-wrapper
1502 (cond ((< n 0)
1503 (setq n (- n))
1504 (let ((entry (calc-top n 'entry))
1505 (calc-undo-list nil) (calc-redo-list nil))
1506 (calc-pop-stack 1 n t)
1507 (calc-push-list (list (car entry)) n (list (nth 2 entry)))))
1508 ((= n 0)
1509 (calc-refresh))
1510 (t
1511 (let ((entries (calc-top-list n 1 'entry))
1512 (calc-undo-list nil) (calc-redo-list nil))
1513 (calc-pop-stack n 1 t)
1514 (calc-push-list (mapcar 'car entries)
1515 1
1516 (mapcar (function (lambda (x) (nth 2 x)))
1517 entries)))))))
1518
1519 (defvar calc-refreshing-evaltos nil)
1520 (defvar calc-no-refresh-evaltos nil)
1521 (defun calc-refresh-evaltos (&optional which-var)
1522 (and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos)
1523 (let ((calc-refreshing-evaltos t)
1524 (num (calc-stack-size))
1525 (calc-undo-list nil) (calc-redo-list nil)
1526 value new-val)
1527 (while (> num 0)
1528 (setq value (calc-top num 'entry))
1529 (if (and (not (nth 2 value))
1530 (setq value (car value))
1531 (or (eq (car-safe value) 'calcFunc-evalto)
1532 (and (eq (car-safe value) 'vec)
1533 (eq (car-safe (nth 1 value)) 'calcFunc-evalto))))
1534 (progn
1535 (setq new-val (math-normalize value))
1536 (or (equal new-val value)
1537 (progn
1538 (calc-push-list (list new-val) num)
1539 (calc-pop-stack 1 (1+ num) t)))))
1540 (setq num (1- num)))))
1541 (and calc-embedded-active which-var
1542 (calc-embedded-var-change which-var)))
1543
1544 (defun calc-push (&rest vals)
1545 (calc-push-list vals))
1546
1547 (defun calc-pop-push (n &rest vals)
1548 (calc-pop-push-list n vals))
1549
1550 (defun calc-pop-push-record (n prefix &rest vals)
1551 (calc-pop-push-record-list n prefix vals))
1552
1553
1554 (defun calc-evaluate (n)
1555 (interactive "p")
1556 (calc-slow-wrapper
1557 (if (= n 0)
1558 (setq n (calc-stack-size)))
1559 (calc-with-default-simplification
1560 (if (< n 0)
1561 (calc-pop-push-record-list 1 "eval"
1562 (math-evaluate-expr (calc-top (- n)))
1563 (- n))
1564 (calc-pop-push-record-list n "eval" (mapcar 'math-evaluate-expr
1565 (calc-top-list n)))))
1566 (calc-handle-whys)))
1567
1568
1569 (defun calc-eval-num (n)
1570 (interactive "P")
1571 (calc-slow-wrapper
1572 (let* ((nn (prefix-numeric-value n))
1573 (calc-internal-prec (cond ((>= nn 3) nn)
1574 ((< nn 0) (max (+ calc-internal-prec nn)
1575 3))
1576 (t calc-internal-prec)))
1577 (calc-symbolic-mode nil))
1578 (calc-with-default-simplification
1579 (calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1)))))
1580 (calc-handle-whys)))
1581
1582
1583 (defun calc-execute-extended-command (n)
1584 (interactive "P")
1585 (let* ((prompt (concat (calc-num-prefix-name n) "M-x "))
1586 (cmd (intern (completing-read prompt obarray 'commandp t "calc-"))))
1587 (setq prefix-arg n)
1588 (command-execute cmd)))
1589
1590
1591 (defun calc-realign (&optional num)
1592 (interactive "P")
1593 (if (and num (eq major-mode 'calc-mode))
1594 (progn
1595 (calc-check-stack num)
1596 (calc-cursor-stack-index num)
1597 (and calc-line-numbering
1598 (forward-char 4)))
1599 (if (and calc-embedded-info
1600 (eq (current-buffer) (aref calc-embedded-info 0)))
1601 (progn
1602 (goto-char (aref calc-embedded-info 2))
1603 (if (save-excursion (set-buffer (aref calc-embedded-info 1))
1604 calc-show-plain)
1605 (forward-line 1)))
1606 (calc-wrapper
1607 (if (get-buffer-window (current-buffer))
1608 (set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
1609
1610 (defvar math-cache-list nil)
1611
1612 (defun calc-var-value (v)
1613 (and (symbolp v)
1614 (boundp v)
1615 (symbol-value v)
1616 (if (symbolp (symbol-value v))
1617 (set v (funcall (symbol-value v)))
1618 (if (stringp (symbol-value v))
1619 (let ((val (math-read-expr (symbol-value v))))
1620 (if (eq (car-safe val) 'error)
1621 (error "Bad format in variable contents: %s" (nth 2 val))
1622 (set v val)))
1623 (symbol-value v)))))
1624
1625 ;;; In the following table, ( OP LOPS ROPS ) means that if an OP
1626 ;;; term appears as the first argument to any LOPS term, or as the
1627 ;;; second argument to any ROPS term, then they should be treated
1628 ;;; as one large term for purposes of associative selection.
1629 (defconst calc-assoc-ops '( ( + ( + - ) ( + ) )
1630 ( - ( + - ) ( + ) )
1631 ( * ( * ) ( * ) )
1632 ( / ( / ) ( ) )
1633 ( | ( | ) ( | ) )
1634 ( calcFunc-land ( calcFunc-land )
1635 ( calcFunc-land ) )
1636 ( calcFunc-lor ( calcFunc-lor )
1637 ( calcFunc-lor ) ) ))
1638
1639
1640 (defvar var-CommuteRules 'calc-CommuteRules)
1641 (defvar var-JumpRules 'calc-JumpRules)
1642 (defvar var-DistribRules 'calc-DistribRules)
1643 (defvar var-MergeRules 'calc-MergeRules)
1644 (defvar var-NegateRules 'calc-NegateRules)
1645 (defvar var-InvertRules 'calc-InvertRules)
1646
1647
1648 (defconst calc-tweak-eqn-table '( ( calcFunc-eq calcFunc-eq calcFunc-neq )
1649 ( calcFunc-neq calcFunc-neq calcFunc-eq )
1650 ( calcFunc-lt calcFunc-gt calcFunc-geq )
1651 ( calcFunc-gt calcFunc-lt calcFunc-leq )
1652 ( calcFunc-leq calcFunc-geq calcFunc-gt )
1653 ( calcFunc-geq calcFunc-leq calcFunc-lt ) ))
1654
1655
1656
1657
1658 (defun calc-float (arg)
1659 (interactive "P")
1660 (calc-slow-wrapper
1661 (calc-unary-op "flt"
1662 (if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat)
1663 arg)))
1664
1665
1666 (defvar calc-gnuplot-process nil)
1667
1668
1669 (defun calc-gnuplot-alive ()
1670 (and calc-gnuplot-process
1671 calc-gnuplot-buffer
1672 (buffer-name calc-gnuplot-buffer)
1673 calc-gnuplot-input
1674 (buffer-name calc-gnuplot-input)
1675 (memq (process-status calc-gnuplot-process) '(run stop))))
1676
1677
1678
1679
1680
1681 (defun calc-load-everything ()
1682 (interactive)
1683 (calc-need-macros) ; calc-macs.el
1684 (calc-record-list nil) ; calc-misc.el
1685 (math-read-exprs "0") ; calc-aent.el
1686
1687 ;;;; (Loads here)
1688 (calc-Need-calc-alg-2)
1689 (calc-Need-calc-alg-3)
1690 (calc-Need-calc-alg)
1691 (calc-Need-calc-arith)
1692 (calc-Need-calc-bin)
1693 (calc-Need-calc-comb)
1694 (calc-Need-calc-comp)
1695 (calc-Need-calc-cplx)
1696 (calc-Need-calc-embed)
1697 (calc-Need-calc-fin)
1698 (calc-Need-calc-forms)
1699 (calc-Need-calc-frac)
1700 (calc-Need-calc-funcs)
1701 (calc-Need-calc-graph)
1702 (calc-Need-calc-help)
1703 (calc-Need-calc-incom)
1704 (calc-Need-calc-keypd)
1705 (calc-Need-calc-lang)
1706 (calc-Need-calc-map)
1707 (calc-Need-calc-mat)
1708 (calc-Need-calc-math)
1709 (calc-Need-calc-mode)
1710 (calc-Need-calc-poly)
1711 (calc-Need-calc-prog)
1712 (calc-Need-calc-rewr)
1713 (calc-Need-calc-rules)
1714 (calc-Need-calc-sel-2)
1715 (calc-Need-calc-sel)
1716 (calc-Need-calc-stat)
1717 (calc-Need-calc-store)
1718 (calc-Need-calc-stuff)
1719 (calc-Need-calc-trail)
1720 (calc-Need-calc-undo)
1721 (calc-Need-calc-units)
1722 (calc-Need-calc-vec)
1723 (calc-Need-calc-yank)
1724
1725 (message "All parts of Calc are now loaded"))
1726
1727
1728 ;;; Vector commands.
1729
1730 (defun calc-concat (arg)
1731 (interactive "P")
1732 (calc-wrapper
1733 (if (calc-is-inverse)
1734 (if (calc-is-hyperbolic)
1735 (calc-enter-result 2 "apnd" (list 'calcFunc-append
1736 (calc-top 1) (calc-top 2)))
1737 (calc-enter-result 2 "|" (list 'calcFunc-vconcat
1738 (calc-top 1) (calc-top 2))))
1739 (if (calc-is-hyperbolic)
1740 (calc-binary-op "apnd" 'calcFunc-append arg '(vec))
1741 (calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|)))))
1742
1743 (defun calc-append (arg)
1744 (interactive "P")
1745 (calc-hyperbolic-func)
1746 (calc-concat arg))
1747
1748
1749 (defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB )
1750 ( var ArgC var-ArgC ) ( var ArgD var-ArgD )
1751 ( var ArgE var-ArgE ) ( var ArgF var-ArgF )
1752 ( var ArgG var-ArgG ) ( var ArgH var-ArgH )
1753 ( var ArgI var-ArgI ) ( var ArgJ var-ArgJ )
1754 ))
1755
1756 (defun calc-invent-args (n)
1757 (nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values))))
1758
1759
1760
1761
1762 ;;; User menu.
1763
1764 (defun calc-user-key-map ()
1765 (if calc-emacs-type-lucid
1766 (error "User-defined keys are not supported in Lucid Emacs"))
1767 (let ((res (cdr (lookup-key calc-mode-map "z"))))
1768 (if (eq (car (car res)) 27)
1769 (cdr res)
1770 res)))
1771
1772 (defun calc-z-prefix-help ()
1773 (interactive)
1774 (let* ((msgs nil)
1775 (buf "")
1776 (kmap (sort (copy-sequence (calc-user-key-map))
1777 (function (lambda (x y) (< (car x) (car y))))))
1778 (flags (apply 'logior
1779 (mapcar (function
1780 (lambda (k)
1781 (calc-user-function-classify (car k))))
1782 kmap))))
1783 (if (= (logand flags 8) 0)
1784 (calc-user-function-list kmap 7)
1785 (calc-user-function-list kmap 1)
1786 (setq msgs (cons buf msgs)
1787 buf "")
1788 (calc-user-function-list kmap 6))
1789 (if (/= flags 0)
1790 (setq msgs (cons buf msgs)))
1791 (calc-do-prefix-help (nreverse msgs) "user" ?z)))
1792
1793 (defun calc-user-function-classify (key)
1794 (cond ((/= key (downcase key)) ; upper-case
1795 (if (assq (downcase key) (calc-user-key-map)) 9 1))
1796 ((/= key (upcase key)) 2) ; lower-case
1797 ((= key ??) 0)
1798 (t 4))) ; other
1799
1800 (defun calc-user-function-list (map flags)
1801 (and map
1802 (let* ((key (car (car map)))
1803 (kind (calc-user-function-classify key))
1804 (func (cdr (car map))))
1805 (if (or (= (logand kind flags) 0)
1806 (not (symbolp func)))
1807 ()
1808 (let* ((name (symbol-name func))
1809 (name (if (string-match "\\`calc-" name)
1810 (substring name 5) name))
1811 (pos (string-match (char-to-string key) name))
1812 (desc
1813 (if (symbolp func)
1814 (if (= (logand kind 3) 0)
1815 (format "`%c' = %s" key name)
1816 (if pos
1817 (format "%s%c%s"
1818 (downcase (substring name 0 pos))
1819 (upcase key)
1820 (downcase (substring name (1+ pos))))
1821 (format "%c = %s"
1822 (upcase key)
1823 (downcase name))))
1824 (char-to-string (upcase key)))))
1825 (if (= (length buf) 0)
1826 (setq buf (concat (if (= flags 1) "SHIFT + " "")
1827 desc))
1828 (if (> (+ (length buf) (length desc)) 58)
1829 (setq msgs (cons buf msgs)
1830 buf (concat (if (= flags 1) "SHIFT + " "")
1831 desc))
1832 (setq buf (concat buf ", " desc))))))
1833 (calc-user-function-list (cdr map) flags))))
1834
1835
1836
1837 (defun calc-shift-Z-prefix-help ()
1838 (interactive)
1839 (calc-do-prefix-help
1840 '("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn"
1841 "Composition, Syntax; Invocation; Permanent; Timing"
1842 "kbd-macros: [ (if), : (else), | (else-if), ] (end-if)"
1843 "kbd-macros: < > (repeat), ( ) (for), { } (loop)"
1844 "kbd-macros: / (break)"
1845 "kbd-macros: ` (save), ' (restore)")
1846 "user" ?Z))
1847
1848
1849 ;;;; Caches.
1850
1851 (defmacro math-defcache (name init form)
1852 (let ((cache-prec (intern (concat (symbol-name name) "-cache-prec")))
1853 (cache-val (intern (concat (symbol-name name) "-cache")))
1854 (last-prec (intern (concat (symbol-name name) "-last-prec")))
1855 (last-val (intern (concat (symbol-name name) "-last"))))
1856 (list 'progn
1857 (list 'setq cache-prec (if init (math-numdigs (nth 1 init)) -100))
1858 (list 'setq cache-val (list 'quote init))
1859 (list 'setq last-prec -100)
1860 (list 'setq last-val nil)
1861 (list 'setq 'math-cache-list
1862 (list 'cons
1863 (list 'quote cache-prec)
1864 (list 'cons
1865 (list 'quote last-prec)
1866 'math-cache-list)))
1867 (list 'defun
1868 name ()
1869 (list 'or
1870 (list '= last-prec 'calc-internal-prec)
1871 (list 'setq
1872 last-val
1873 (list 'math-normalize
1874 (list 'progn
1875 (list 'or
1876 (list '>= cache-prec
1877 'calc-internal-prec)
1878 (list 'setq
1879 cache-val
1880 (list 'let
1881 '((calc-internal-prec
1882 (+ calc-internal-prec
1883 4)))
1884 form)
1885 cache-prec
1886 '(+ calc-internal-prec 2)))
1887 cache-val))
1888 last-prec 'calc-internal-prec))
1889 last-val))))
1890 (put 'math-defcache 'lisp-indent-hook 2)
1891
1892 ;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public]
1893 (math-defcache math-pi (float (bigpos 463 238 793 589 653 592 141 3) -21)
1894 (math-add-float (math-mul-float '(float 16 0)
1895 (math-arctan-raw '(float 2 -1)))
1896 (math-mul-float '(float -4 0)
1897 (math-arctan-raw
1898 (math-float '(frac 1 239))))))
1899
1900 (math-defcache math-two-pi nil
1901 (math-mul-float (math-pi) '(float 2 0)))
1902
1903 (math-defcache math-pi-over-2 nil
1904 (math-mul-float (math-pi) '(float 5 -1)))
1905
1906 (math-defcache math-pi-over-4 nil
1907 (math-mul-float (math-pi) '(float 25 -2)))
1908
1909 (math-defcache math-pi-over-180 nil
1910 (math-div-float (math-pi) '(float 18 1)))
1911
1912 (math-defcache math-sqrt-pi nil
1913 (math-sqrt-float (math-pi)))
1914
1915 (math-defcache math-sqrt-2 nil
1916 (math-sqrt-float '(float 2 0)))
1917
1918 (math-defcache math-sqrt-12 nil
1919 (math-sqrt-float '(float 12 0)))
1920
1921 (math-defcache math-sqrt-two-pi nil
1922 (math-sqrt-float (math-two-pi)))
1923
1924 (math-defcache math-sqrt-e (float (bigpos 849 146 128 700 270 721 648 1) -21)
1925 (math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
1926
1927 (math-defcache math-e nil
1928 (math-pow (math-sqrt-e) 2))
1929
1930 (math-defcache math-phi nil
1931 (math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
1932 '(float 5 -1)))
1933
1934 (math-defcache math-gamma-const nil
1935 '(float (bigpos 495 467 917 632 470 369 709 646 776 267 677 848 348 672
1936 057 988 235 399 359 593 421 310 024 824 900 120 065 606
1937 328 015 649 156 772 5) -100))
1938
1939 (defun math-half-circle (symb)
1940 (if (eq calc-angle-mode 'rad)
1941 (if symb
1942 '(var pi var-pi)
1943 (math-pi))
1944 180))
1945
1946 (defun math-full-circle (symb)
1947 (math-mul 2 (math-half-circle symb)))
1948
1949 (defun math-quarter-circle (symb)
1950 (math-div (math-half-circle symb) 2))
1951
1952 (defvar math-expand-formulas nil)
1953
1954 ;;;; Miscellaneous math routines.
1955
1956 ;;; True if A is an odd integer. [P R R] [Public]
1957 (defun math-oddp (a)
1958 (if (consp a)
1959 (and (memq (car a) '(bigpos bigneg))
1960 (= (% (nth 1 a) 2) 1))
1961 (/= (% a 2) 0)))
1962
1963 ;;; True if A is a small or big integer. [P x] [Public]
1964 (defun math-integerp (a)
1965 (or (integerp a)
1966 (memq (car-safe a) '(bigpos bigneg))))
1967
1968 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
1969 (defun math-natnump (a)
1970 (or (natnump a)
1971 (eq (car-safe a) 'bigpos)))
1972
1973 ;;; True if A is a rational (or integer). [P x] [Public]
1974 (defun math-ratp (a)
1975 (or (integerp a)
1976 (memq (car-safe a) '(bigpos bigneg frac))))
1977
1978 ;;; True if A is a real (or rational). [P x] [Public]
1979 (defun math-realp (a)
1980 (or (integerp a)
1981 (memq (car-safe a) '(bigpos bigneg frac float))))
1982
1983 ;;; True if A is a real or HMS form. [P x] [Public]
1984 (defun math-anglep (a)
1985 (or (integerp a)
1986 (memq (car-safe a) '(bigpos bigneg frac float hms))))
1987
1988 ;;; True if A is a number of any kind. [P x] [Public]
1989 (defun math-numberp (a)
1990 (or (integerp a)
1991 (memq (car-safe a) '(bigpos bigneg frac float cplx polar))))
1992
1993 ;;; True if A is a complex number or angle. [P x] [Public]
1994 (defun math-scalarp (a)
1995 (or (integerp a)
1996 (memq (car-safe a) '(bigpos bigneg frac float cplx polar hms))))
1997
1998 ;;; True if A is a vector. [P x] [Public]
1999 (defun math-vectorp (a)
2000 (eq (car-safe a) 'vec))
2001
2002 ;;; True if A is any vector or scalar data object. [P x]
2003 (defun math-objvecp (a) ; [Public]
2004 (or (integerp a)
2005 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2006 hms date sdev intv mod vec incomplete))))
2007
2008 ;;; True if A is an object not composed of sub-formulas . [P x] [Public]
2009 (defun math-primp (a)
2010 (or (integerp a)
2011 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2012 hms date mod var))))
2013
2014 ;;; True if A is numerically (but not literally) an integer. [P x] [Public]
2015 (defun math-messy-integerp (a)
2016 (cond
2017 ((eq (car-safe a) 'float) (>= (nth 2 a) 0))
2018 ((eq (car-safe a) 'frac) (Math-integerp (math-normalize a)))))
2019
2020 ;;; True if A is numerically an integer. [P x] [Public]
2021 (defun math-num-integerp (a)
2022 (or (Math-integerp a)
2023 (Math-messy-integerp a)))
2024
2025 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2026 (defun math-num-natnump (a)
2027 (or (natnump a)
2028 (eq (car-safe a) 'bigpos)
2029 (and (eq (car-safe a) 'float)
2030 (Math-natnump (nth 1 a))
2031 (>= (nth 2 a) 0))))
2032
2033 ;;; True if A is an integer or will evaluate to an integer. [P x] [Public]
2034 (defun math-provably-integerp (a)
2035 (or (Math-integerp a)
2036 (and (memq (car-safe a) '(calcFunc-trunc
2037 calcFunc-round
2038 calcFunc-rounde
2039 calcFunc-roundu
2040 calcFunc-floor
2041 calcFunc-ceil))
2042 (= (length a) 2))))
2043
2044 ;;; True if A is a real or will evaluate to a real. [P x] [Public]
2045 (defun math-provably-realp (a)
2046 (or (Math-realp a)
2047 (math-provably-integer a)
2048 (memq (car-safe a) '(abs arg))))
2049
2050 ;;; True if A is a non-real, complex number. [P x] [Public]
2051 (defun math-complexp (a)
2052 (memq (car-safe a) '(cplx polar)))
2053
2054 ;;; True if A is a non-real, rectangular complex number. [P x] [Public]
2055 (defun math-rect-complexp (a)
2056 (eq (car-safe a) 'cplx))
2057
2058 ;;; True if A is a non-real, polar complex number. [P x] [Public]
2059 (defun math-polar-complexp (a)
2060 (eq (car-safe a) 'polar))
2061
2062 ;;; True if A is a matrix. [P x] [Public]
2063 (defun math-matrixp (a)
2064 (and (Math-vectorp a)
2065 (Math-vectorp (nth 1 a))
2066 (cdr (nth 1 a))
2067 (let ((len (length (nth 1 a))))
2068 (setq a (cdr a))
2069 (while (and (setq a (cdr a))
2070 (Math-vectorp (car a))
2071 (= (length (car a)) len)))
2072 (null a))))
2073
2074 (defun math-matrixp-step (a len) ; [P L]
2075 (or (null a)
2076 (and (Math-vectorp (car a))
2077 (= (length (car a)) len)
2078 (math-matrixp-step (cdr a) len))))
2079
2080 ;;; True if A is a square matrix. [P V] [Public]
2081 (defun math-square-matrixp (a)
2082 (let ((dims (math-mat-dimens a)))
2083 (and (cdr dims)
2084 (= (car dims) (nth 1 dims)))))
2085
2086 ;;; True if A is any scalar data object. [P x]
2087 (defun math-objectp (a) ; [Public]
2088 (or (integerp a)
2089 (memq (car-safe a) '(bigpos bigneg frac float cplx
2090 polar hms date sdev intv mod))))
2091
2092 ;;; Verify that A is an integer and return A in integer form. [I N; - x]
2093 (defun math-check-integer (a) ; [Public]
2094 (cond ((integerp a) a) ; for speed
2095 ((math-integerp a) a)
2096 ((math-messy-integerp a)
2097 (math-trunc a))
2098 (t (math-reject-arg a 'integerp))))
2099
2100 ;;; Verify that A is a small integer and return A in integer form. [S N; - x]
2101 (defun math-check-fixnum (a &optional allow-inf) ; [Public]
2102 (cond ((integerp a) a) ; for speed
2103 ((Math-num-integerp a)
2104 (let ((a (math-trunc a)))
2105 (if (integerp a)
2106 a
2107 (if (or (Math-lessp (lsh -1 -1) a)
2108 (Math-lessp a (- (lsh -1 -1))))
2109 (math-reject-arg a 'fixnump)
2110 (math-fixnum a)))))
2111 ((and allow-inf (equal a '(var inf var-inf)))
2112 (lsh -1 -1))
2113 ((and allow-inf (equal a '(neg (var inf var-inf))))
2114 (- (lsh -1 -1)))
2115 (t (math-reject-arg a 'fixnump))))
2116
2117 ;;; Verify that A is an integer >= 0 and return A in integer form. [I N; - x]
2118 (defun math-check-natnum (a) ; [Public]
2119 (cond ((natnump a) a)
2120 ((and (not (math-negp a))
2121 (Math-num-integerp a))
2122 (math-trunc a))
2123 (t (math-reject-arg a 'natnump))))
2124
2125 ;;; Verify that A is in floating-point form, or force it to be a float. [F N]
2126 (defun math-check-float (a) ; [Public]
2127 (cond ((eq (car-safe a) 'float) a)
2128 ((Math-vectorp a) (math-map-vec 'math-check-float a))
2129 ((Math-objectp a) (math-float a))
2130 (t a)))
2131
2132 ;;; Verify that A is a constant.
2133 (defun math-check-const (a &optional exp-ok)
2134 (if (or (math-constp a)
2135 (and exp-ok math-expand-formulas))
2136 a
2137 (math-reject-arg a 'constp)))
2138
2139
2140 ;;; Coerce integer A to be a small integer. [S I]
2141 (defun math-fixnum (a)
2142 (if (consp a)
2143 (if (cdr a)
2144 (if (eq (car a) 'bigneg)
2145 (- (math-fixnum-big (cdr a)))
2146 (math-fixnum-big (cdr a)))
2147 0)
2148 a))
2149
2150 (defun math-fixnum-big (a)
2151 (if (cdr a)
2152 (+ (car a) (* (math-fixnum-big (cdr a)) 1000))
2153 (car a)))
2154
2155 (defvar math-simplify-only nil)
2156
2157 (defun math-normalize-fancy (a)
2158 (cond ((eq (car a) 'frac)
2159 (math-make-frac (math-normalize (nth 1 a))
2160 (math-normalize (nth 2 a))))
2161 ((eq (car a) 'cplx)
2162 (let ((real (math-normalize (nth 1 a)))
2163 (imag (math-normalize (nth 2 a))))
2164 (if (and (math-zerop imag)
2165 (not math-simplify-only)) ; oh, what a kludge!
2166 real
2167 (list 'cplx real imag))))
2168 ((eq (car a) 'polar)
2169 (math-normalize-polar a))
2170 ((eq (car a) 'hms)
2171 (math-normalize-hms a))
2172 ((eq (car a) 'date)
2173 (list 'date (math-normalize (nth 1 a))))
2174 ((eq (car a) 'mod)
2175 (math-normalize-mod a))
2176 ((eq (car a) 'sdev)
2177 (let ((x (math-normalize (nth 1 a)))
2178 (s (math-normalize (nth 2 a))))
2179 (if (or (and (Math-objectp x) (not (Math-scalarp x)))
2180 (and (Math-objectp s) (not (Math-scalarp s))))
2181 (list 'calcFunc-sdev x s)
2182 (math-make-sdev x s))))
2183 ((eq (car a) 'intv)
2184 (let ((mask (math-normalize (nth 1 a)))
2185 (lo (math-normalize (nth 2 a)))
2186 (hi (math-normalize (nth 3 a))))
2187 (if (if (eq (car-safe lo) 'date)
2188 (not (eq (car-safe hi) 'date))
2189 (or (and (Math-objectp lo) (not (Math-anglep lo)))
2190 (and (Math-objectp hi) (not (Math-anglep hi)))))
2191 (list 'calcFunc-intv mask lo hi)
2192 (math-make-intv mask lo hi))))
2193 ((eq (car a) 'vec)
2194 (cons 'vec (mapcar 'math-normalize (cdr a))))
2195 ((eq (car a) 'quote)
2196 (math-normalize (nth 1 a)))
2197 ((eq (car a) 'special-const)
2198 (calc-with-default-simplification
2199 (math-normalize (nth 1 a))))
2200 ((eq (car a) 'var)
2201 (cons 'var (cdr a))) ; need to re-cons for selection routines
2202 ((eq (car a) 'calcFunc-if)
2203 (math-normalize-logical-op a))
2204 ((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition))
2205 (let ((calc-simplify-mode 'none))
2206 (cons (car a) (mapcar 'math-normalize (cdr a)))))
2207 ((eq (car a) 'calcFunc-evalto)
2208 (setq a (or (nth 1 a) 0))
2209 (or calc-refreshing-evaltos
2210 (setq a (let ((calc-simplify-mode 'none)) (math-normalize a))))
2211 (let ((b (if (and (eq (car-safe a) 'calcFunc-assign)
2212 (= (length a) 3))
2213 (nth 2 a)
2214 a)))
2215 (list 'calcFunc-evalto
2216 a
2217 (if (eq calc-simplify-mode 'none)
2218 (math-normalize b)
2219 (calc-with-default-simplification
2220 (math-evaluate-expr b))))))
2221 ((or (integerp (car a)) (consp (car a)))
2222 (if (null (cdr a))
2223 (math-normalize (car a))
2224 (error "Can't use multi-valued function in an expression")))))
2225
2226 (defun math-normalize-nonstandard () ; uses "a"
2227 (if (consp calc-simplify-mode)
2228 (progn
2229 (setq calc-simplify-mode 'none
2230 math-simplify-only (car-safe (cdr-safe a)))
2231 nil)
2232 (and (symbolp (car a))
2233 (or (eq calc-simplify-mode 'none)
2234 (and (eq calc-simplify-mode 'num)
2235 (let ((aptr (setq a (cons
2236 (car a)
2237 (mapcar 'math-normalize (cdr a))))))
2238 (while (and aptr (math-constp (car aptr)))
2239 (setq aptr (cdr aptr)))
2240 aptr)))
2241 (cons (car a) (mapcar 'math-normalize (cdr a))))))
2242
2243
2244
2245
2246
2247 ;;; Normalize a bignum digit list by trimming high-end zeros. [L l]
2248 (defun math-norm-bignum (a)
2249 (let ((digs a) (last nil))
2250 (while digs
2251 (or (eq (car digs) 0) (setq last digs))
2252 (setq digs (cdr digs)))
2253 (and last
2254 (progn
2255 (setcdr last nil)
2256 a))))
2257
2258 (defun math-bignum-test (a) ; [B N; B s; b b]
2259 (if (consp a)
2260 a
2261 (math-bignum a)))
2262
2263
2264 ;;; Return 0 for zero, -1 for negative, 1 for positive. [S n] [Public]
2265 (defun calcFunc-sign (a &optional x)
2266 (let ((signs (math-possible-signs a)))
2267 (cond ((eq signs 4) (or x 1))
2268 ((eq signs 2) 0)
2269 ((eq signs 1) (if x (math-neg x) -1))
2270 ((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a))))
2271 (t (calc-record-why 'realp a)
2272 (if x
2273 (list 'calcFunc-sign a x)
2274 (list 'calcFunc-sign a))))))
2275
2276 ;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more.
2277 ;;; Arguments must be normalized! [S N N]
2278 (defun math-compare (a b)
2279 (cond ((equal a b)
2280 (if (and (consp a)
2281 (memq (car a) '(var neg * /))
2282 (math-infinitep a))
2283 2
2284 0))
2285 ((and (integerp a) (Math-integerp b))
2286 (if (consp b)
2287 (if (eq (car b) 'bigpos) -1 1)
2288 (if (< a b) -1 1)))
2289 ((and (eq (car-safe a) 'bigpos) (Math-integerp b))
2290 (if (eq (car-safe b) 'bigpos)
2291 (math-compare-bignum (cdr a) (cdr b))
2292 1))
2293 ((and (eq (car-safe a) 'bigneg) (Math-integerp b))
2294 (if (eq (car-safe b) 'bigneg)
2295 (math-compare-bignum (cdr b) (cdr a))
2296 -1))
2297 ((eq (car-safe a) 'frac)
2298 (if (eq (car-safe b) 'frac)
2299 (math-compare (math-mul (nth 1 a) (nth 2 b))
2300 (math-mul (nth 1 b) (nth 2 a)))
2301 (math-compare (nth 1 a) (math-mul b (nth 2 a)))))
2302 ((eq (car-safe b) 'frac)
2303 (math-compare (math-mul a (nth 2 b)) (nth 1 b)))
2304 ((and (eq (car-safe a) 'float) (eq (car-safe b) 'float))
2305 (if (math-lessp-float a b) -1 1))
2306 ((and (eq (car-safe a) 'date) (eq (car-safe b) 'date))
2307 (math-compare (nth 1 a) (nth 1 b)))
2308 ((and (or (Math-anglep a)
2309 (and (eq (car a) 'cplx) (eq (nth 2 a) 0)))
2310 (or (Math-anglep b)
2311 (and (eq (car b) 'cplx) (eq (nth 2 b) 0))))
2312 (calcFunc-sign (math-add a (math-neg b))))
2313 ((and (eq (car-safe a) 'intv)
2314 (or (Math-anglep b) (eq (car-safe b) 'date)))
2315 (let ((res (math-compare (nth 2 a) b)))
2316 (cond ((eq res 1) 1)
2317 ((and (eq res 0) (memq (nth 1 a) '(0 1))) 1)
2318 ((eq (setq res (math-compare (nth 3 a) b)) -1) -1)
2319 ((and (eq res 0) (memq (nth 1 a) '(0 2))) -1)
2320 (t 2))))
2321 ((and (eq (car-safe b) 'intv)
2322 (or (Math-anglep a) (eq (car-safe a) 'date)))
2323 (let ((res (math-compare a (nth 2 b))))
2324 (cond ((eq res -1) -1)
2325 ((and (eq res 0) (memq (nth 1 b) '(0 1))) -1)
2326 ((eq (setq res (math-compare a (nth 3 b))) 1) 1)
2327 ((and (eq res 0) (memq (nth 1 b) '(0 2))) 1)
2328 (t 2))))
2329 ((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv))
2330 (let ((res (math-compare (nth 3 a) (nth 2 b))))
2331 (cond ((eq res -1) -1)
2332 ((and (eq res 0) (or (memq (nth 1 a) '(0 2))
2333 (memq (nth 1 b) '(0 1)))) -1)
2334 ((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1)
2335 ((and (eq res 0) (or (memq (nth 1 a) '(0 1))
2336 (memq (nth 1 b) '(0 2)))) 1)
2337 (t 2))))
2338 ((math-infinitep a)
2339 (if (or (equal a '(var uinf var-uinf))
2340 (equal a '(var nan var-nan)))
2341 2
2342 (let ((dira (math-infinite-dir a)))
2343 (if (math-infinitep b)
2344 (if (or (equal b '(var uinf var-uinf))
2345 (equal b '(var nan var-nan)))
2346 2
2347 (let ((dirb (math-infinite-dir b)))
2348 (cond ((and (eq dira 1) (eq dirb -1)) 1)
2349 ((and (eq dira -1) (eq dirb 1)) -1)
2350 (t 2))))
2351 (cond ((eq dira 1) 1)
2352 ((eq dira -1) -1)
2353 (t 2))))))
2354 ((math-infinitep b)
2355 (if (or (equal b '(var uinf var-uinf))
2356 (equal b '(var nan var-nan)))
2357 2
2358 (let ((dirb (math-infinite-dir b)))
2359 (cond ((eq dirb 1) -1)
2360 ((eq dirb -1) 1)
2361 (t 2)))))
2362 ((and (eq (car-safe a) 'calcFunc-exp)
2363 (eq (car-safe b) '^)
2364 (equal (nth 1 b) '(var e var-e)))
2365 (math-compare (nth 1 a) (nth 2 b)))
2366 ((and (eq (car-safe b) 'calcFunc-exp)
2367 (eq (car-safe a) '^)
2368 (equal (nth 1 a) '(var e var-e)))
2369 (math-compare (nth 2 a) (nth 1 b)))
2370 ((or (and (eq (car-safe a) 'calcFunc-sqrt)
2371 (eq (car-safe b) '^)
2372 (or (equal (nth 2 b) '(frac 1 2))
2373 (equal (nth 2 b) '(float 5 -1))))
2374 (and (eq (car-safe b) 'calcFunc-sqrt)
2375 (eq (car-safe a) '^)
2376 (or (equal (nth 2 a) '(frac 1 2))
2377 (equal (nth 2 a) '(float 5 -1)))))
2378 (math-compare (nth 1 a) (nth 1 b)))
2379 ((eq (car-safe a) 'var)
2380 2)
2381 (t
2382 (if (and (consp a) (consp b)
2383 (eq (car a) (car b))
2384 (math-compare-lists (cdr a) (cdr b)))
2385 0
2386 2))))
2387
2388 ;;; Compare two bignum digit lists, return -1 for A<B, 0 for A=B, 1 for A>B.
2389 (defun math-compare-bignum (a b) ; [S l l]
2390 (let ((res 0))
2391 (while (and a b)
2392 (if (< (car a) (car b))
2393 (setq res -1)
2394 (if (> (car a) (car b))
2395 (setq res 1)))
2396 (setq a (cdr a)
2397 b (cdr b)))
2398 (if a
2399 (progn
2400 (while (eq (car a) 0) (setq a (cdr a)))
2401 (if a 1 res))
2402 (while (eq (car b) 0) (setq b (cdr b)))
2403 (if b -1 res))))
2404
2405 (defun math-compare-lists (a b)
2406 (cond ((null a) (null b))
2407 ((null b) nil)
2408 (t (and (Math-equal (car a) (car b))
2409 (math-compare-lists (cdr a) (cdr b))))))
2410
2411 (defun math-lessp-float (a b) ; [P F F]
2412 (let ((ediff (- (nth 2 a) (nth 2 b))))
2413 (if (>= ediff 0)
2414 (if (>= ediff (+ calc-internal-prec calc-internal-prec))
2415 (if (eq (nth 1 a) 0)
2416 (Math-integer-posp (nth 1 b))
2417 (Math-integer-negp (nth 1 a)))
2418 (Math-lessp (math-scale-int (nth 1 a) ediff)
2419 (nth 1 b)))
2420 (if (>= (setq ediff (- ediff))
2421 (+ calc-internal-prec calc-internal-prec))
2422 (if (eq (nth 1 b) 0)
2423 (Math-integer-negp (nth 1 a))
2424 (Math-integer-posp (nth 1 b)))
2425 (Math-lessp (nth 1 a)
2426 (math-scale-int (nth 1 b) ediff))))))
2427
2428 ;;; True if A is numerically equal to B. [P N N] [Public]
2429 (defun math-equal (a b)
2430 (= (math-compare a b) 0))
2431
2432 ;;; True if A is numerically less than B. [P R R] [Public]
2433 (defun math-lessp (a b)
2434 (= (math-compare a b) -1))
2435
2436 ;;; True if A is numerically equal to the integer B. [P N S] [Public]
2437 ;;; B must not be a multiple of 10.
2438 (defun math-equal-int (a b)
2439 (or (eq a b)
2440 (and (eq (car-safe a) 'float)
2441 (eq (nth 1 a) b)
2442 (= (nth 2 a) 0))))
2443
2444
2445
2446
2447 ;;; Return the dimensions of a matrix as a list. [l x] [Public]
2448 (defun math-mat-dimens (m)
2449 (if (math-vectorp m)
2450 (if (math-matrixp m)
2451 (cons (1- (length m))
2452 (math-mat-dimens (nth 1 m)))
2453 (list (1- (length m))))
2454 nil))
2455
2456
2457
2458 (defun calc-binary-op-fancy (name func arg ident unary)
2459 (let ((n (prefix-numeric-value arg)))
2460 (cond ((> n 1)
2461 (calc-enter-result n
2462 name
2463 (list 'calcFunc-reduce
2464 (math-calcFunc-to-var func)
2465 (cons 'vec (calc-top-list-n n)))))
2466 ((= n 1)
2467 (if unary
2468 (calc-enter-result 1 name (list unary (calc-top-n 1)))))
2469 ((= n 0)
2470 (if ident
2471 (calc-enter-result 0 name ident)
2472 (error "Argument must be nonzero")))
2473 (t
2474 (let ((rhs (calc-top-n 1)))
2475 (calc-enter-result (- 1 n)
2476 name
2477 (mapcar (function
2478 (lambda (x)
2479 (list func x rhs)))
2480 (calc-top-list-n (- n) 2))))))))
2481
2482 (defun calc-unary-op-fancy (name func arg)
2483 (let ((n (prefix-numeric-value arg)))
2484 (if (= n 0) (setq n (calc-stack-size)))
2485 (cond ((> n 0)
2486 (calc-enter-result n
2487 name
2488 (mapcar (function
2489 (lambda (x)
2490 (list func x)))
2491 (calc-top-list-n n))))
2492 ((< n 0)
2493 (calc-enter-result 1
2494 name
2495 (list func (calc-top-n (- n)))
2496 (- n))))))
2497
2498 (defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun)))
2499 (defvar var-Decls (list 'vec))
2500
2501
2502 (defun math-inexact-result ()
2503 (and calc-symbolic-mode
2504 (signal 'inexact-result nil)))
2505
2506 (defun math-overflow (&optional exp)
2507 (if (and exp (math-negp exp))
2508 (math-underflow)
2509 (signal 'math-overflow nil)))
2510
2511 (defun math-underflow ()
2512 (signal 'math-underflow nil))
2513
2514 ;;; Compute the greatest common divisor of A and B. [I I I] [Public]
2515 (defun math-gcd (a b)
2516 (cond ((not (or (consp a) (consp b)))
2517 (if (< a 0) (setq a (- a)))
2518 (if (< b 0) (setq b (- b)))
2519 (let (c)
2520 (if (< a b)
2521 (setq c b b a a c))
2522 (while (> b 0)
2523 (setq c b
2524 b (% a b)
2525 a c))
2526 a))
2527 ((eq a 0) b)
2528 ((eq b 0) a)
2529 (t
2530 (if (Math-integer-negp a) (setq a (math-neg a)))
2531 (if (Math-integer-negp b) (setq b (math-neg b)))
2532 (let (c)
2533 (if (Math-natnum-lessp a b)
2534 (setq c b b a a c))
2535 (while (and (consp a) (not (eq b 0)))
2536 (setq c b
2537 b (math-imod a b)
2538 a c))
2539 (while (> b 0)
2540 (setq c b
2541 b (% a b)
2542 a c))
2543 a))))
2544
2545
2546 ;;;; Algebra.
2547
2548 ;;; Evaluate variables in an expression.
2549 (defun math-evaluate-expr (x) ; [Public]
2550 (if calc-embedded-info
2551 (calc-embedded-evaluate-expr x)
2552 (calc-normalize (math-evaluate-expr-rec x))))
2553
2554 (defalias 'calcFunc-evalv 'math-evaluate-expr)
2555
2556 (defun calcFunc-evalvn (x &optional prec)
2557 (if prec
2558 (progn
2559 (or (math-num-integerp prec)
2560 (if (and (math-vectorp prec)
2561 (= (length prec) 2)
2562 (math-num-integerp (nth 1 prec)))
2563 (setq prec (math-add (nth 1 prec) calc-internal-prec))
2564 (math-reject-arg prec 'integerp)))
2565 (setq prec (math-trunc prec))
2566 (if (< prec 3) (setq prec 3))
2567 (if (> prec calc-internal-prec)
2568 (math-normalize
2569 (let ((calc-internal-prec prec))
2570 (calcFunc-evalvn x)))
2571 (let ((calc-internal-prec prec))
2572 (calcFunc-evalvn x))))
2573 (let ((calc-symbolic-mode nil))
2574 (math-evaluate-expr x))))
2575
2576 (defun math-evaluate-expr-rec (x)
2577 (if (consp x)
2578 (if (memq (car x) '(calcFunc-quote calcFunc-condition
2579 calcFunc-evalto calcFunc-assign))
2580 (if (and (eq (car x) 'calcFunc-assign)
2581 (= (length x) 3))
2582 (list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x)))
2583 x)
2584 (if (eq (car x) 'var)
2585 (if (and (calc-var-value (nth 2 x))
2586 (not (eq (car-safe (symbol-value (nth 2 x)))
2587 'incomplete)))
2588 (let ((val (symbol-value (nth 2 x))))
2589 (if (eq (car-safe val) 'special-const)
2590 (if calc-symbolic-mode
2591 x
2592 val)
2593 val))
2594 x)
2595 (if (Math-primp x)
2596 x
2597 (cons (car x) (mapcar 'math-evaluate-expr-rec (cdr x))))))
2598 x))
2599
2600 (defmacro math-defsimplify (funcs &rest code)
2601 (append '(progn (math-need-std-simps))
2602 (mapcar (function
2603 (lambda (func)
2604 (list 'put (list 'quote func) ''math-simplify
2605 (list 'nconc
2606 (list 'get (list 'quote func) ''math-simplify)
2607 (list 'list
2608 (list 'function
2609 (append '(lambda (expr))
2610 code)))))))
2611 (if (symbolp funcs) (list funcs) funcs))))
2612 (put 'math-defsimplify 'lisp-indent-hook 1)
2613
2614 (defun math-any-floats (expr)
2615 (if (Math-primp expr)
2616 (math-floatp expr)
2617 (while (and (setq expr (cdr expr)) (not (math-any-floats (car expr)))))
2618 expr))
2619
2620 (defvar var-FactorRules 'calc-FactorRules)
2621
2622 (defun math-map-tree (mmt-func mmt-expr &optional mmt-many)
2623 (or mmt-many (setq mmt-many 1000000))
2624 (math-map-tree-rec mmt-expr))
2625
2626 (defun math-map-tree-rec (mmt-expr)
2627 (or (= mmt-many 0)
2628 (let ((mmt-done nil)
2629 mmt-nextval)
2630 (while (not mmt-done)
2631 (while (and (/= mmt-many 0)
2632 (setq mmt-nextval (funcall mmt-func mmt-expr))
2633 (not (equal mmt-expr mmt-nextval)))
2634 (setq mmt-expr mmt-nextval
2635 mmt-many (if (> mmt-many 0) (1- mmt-many) (1+ mmt-many))))
2636 (if (or (Math-primp mmt-expr)
2637 (<= mmt-many 0))
2638 (setq mmt-done t)
2639 (setq mmt-nextval (cons (car mmt-expr)
2640 (mapcar 'math-map-tree-rec
2641 (cdr mmt-expr))))
2642 (if (equal mmt-nextval mmt-expr)
2643 (setq mmt-done t)
2644 (setq mmt-expr mmt-nextval))))))
2645 mmt-expr)
2646
2647 (defun math-is-true (expr)
2648 (if (Math-numberp expr)
2649 (not (Math-zerop expr))
2650 (math-known-nonzerop expr)))
2651
2652 (defun math-const-var (expr)
2653 (and (consp expr)
2654 (eq (car expr) 'var)
2655 (or (and (symbolp (nth 2 expr))
2656 (boundp (nth 2 expr))
2657 (eq (car-safe (symbol-value (nth 2 expr))) 'special-const))
2658 (memq (nth 2 expr) '(var-inf var-uinf var-nan)))))
2659
2660 (defmacro math-defintegral (funcs &rest code)
2661 (setq math-integral-cache nil)
2662 (append '(progn)
2663 (mapcar (function
2664 (lambda (func)
2665 (list 'put (list 'quote func) ''math-integral
2666 (list 'nconc
2667 (list 'get (list 'quote func) ''math-integral)
2668 (list 'list
2669 (list 'function
2670 (append '(lambda (u))
2671 code)))))))
2672 (if (symbolp funcs) (list funcs) funcs))))
2673 (put 'math-defintegral 'lisp-indent-hook 1)
2674
2675 (defmacro math-defintegral-2 (funcs &rest code)
2676 (setq math-integral-cache nil)
2677 (append '(progn)
2678 (mapcar (function
2679 (lambda (func)
2680 (list 'put (list 'quote func) ''math-integral-2
2681 (list 'nconc
2682 (list 'get (list 'quote func)
2683 ''math-integral-2)
2684 (list 'list
2685 (list 'function
2686 (append '(lambda (u v))
2687 code)))))))
2688 (if (symbolp funcs) (list funcs) funcs))))
2689 (put 'math-defintegral-2 'lisp-indent-hook 1)
2690
2691 (defvar var-IntegAfterRules 'calc-IntegAfterRules)
2692
2693 (defvar var-FitRules 'calc-FitRules)
2694
2695 (defvar math-poly-base-variable nil)
2696 (defvar math-poly-neg-powers nil)
2697 (defvar math-poly-mult-powers 1)
2698 (defvar math-poly-frac-powers nil)
2699 (defvar math-poly-exp-base nil)
2700
2701 (defun math-build-var-name (name)
2702 (if (stringp name)
2703 (setq name (intern name)))
2704 (if (string-match "\\`var-." (symbol-name name))
2705 (list 'var (intern (substring (symbol-name name) 4)) name)
2706 (list 'var name (intern (concat "var-" (symbol-name name))))))
2707
2708 (defvar math-simplifying-units nil)
2709 (defvar math-combining-units t)
2710
2711 ;;; Nontrivial number parsing.
2712
2713 (defun math-read-number-fancy (s)
2714 (cond
2715
2716 ;; Integer+fractions
2717 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2718 (let ((int (math-match-substring s 1))
2719 (num (math-match-substring s 2))
2720 (den (math-match-substring s 3)))
2721 (let ((int (if (> (length int) 0) (math-read-number int) 0))
2722 (num (if (> (length num) 0) (math-read-number num) 1))
2723 (den (if (> (length num) 0) (math-read-number den) 1)))
2724 (and int num den
2725 (math-integerp int) (math-integerp num) (math-integerp den)
2726 (not (math-zerop den))
2727 (list 'frac (math-add num (math-mul int den)) den)))))
2728
2729 ;; Fractions
2730 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2731 (let ((num (math-match-substring s 1))
2732 (den (math-match-substring s 2)))
2733 (let ((num (if (> (length num) 0) (math-read-number num) 1))
2734 (den (if (> (length num) 0) (math-read-number den) 1)))
2735 (and num den (math-integerp num) (math-integerp den)
2736 (not (math-zerop den))
2737 (list 'frac num den)))))
2738
2739 ;; Modulo forms
2740 ((string-match "^\\(.*\\) *mod *\\(.*\\)$" s)
2741 (let* ((n (math-match-substring s 1))
2742 (m (math-match-substring s 2))
2743 (n (math-read-number n))
2744 (m (math-read-number m)))
2745 (and n m (math-anglep n) (math-anglep m)
2746 (list 'mod n m))))
2747
2748 ;; Error forms
2749 ((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s)
2750 (let* ((x (math-match-substring s 1))
2751 (sigma (math-match-substring s 2))
2752 (x (math-read-number x))
2753 (sigma (math-read-number sigma)))
2754 (and x sigma (math-scalarp x) (math-anglep sigma)
2755 (list 'sdev x sigma))))
2756
2757 ;; Hours (or degrees)
2758 ((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s)
2759 (string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s))
2760 (let* ((hours (math-match-substring s 1))
2761 (minsec (math-match-substring s 2))
2762 (hours (math-read-number hours))
2763 (minsec (if (> (length minsec) 0) (math-read-number minsec) 0)))
2764 (and hours minsec
2765 (math-num-integerp hours)
2766 (not (math-negp hours)) (not (math-negp minsec))
2767 (cond ((math-num-integerp minsec)
2768 (and (Math-lessp minsec 60)
2769 (list 'hms hours minsec 0)))
2770 ((and (eq (car-safe minsec) 'hms)
2771 (math-zerop (nth 1 minsec)))
2772 (math-add (list 'hms hours 0 0) minsec))
2773 (t nil)))))
2774
2775 ;; Minutes
2776 ((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s)
2777 (let* ((minutes (math-match-substring s 1))
2778 (seconds (math-match-substring s 2))
2779 (minutes (math-read-number minutes))
2780 (seconds (if (> (length seconds) 0) (math-read-number seconds) 0)))
2781 (and minutes seconds
2782 (math-num-integerp minutes)
2783 (not (math-negp minutes)) (not (math-negp seconds))
2784 (cond ((math-realp seconds)
2785 (and (Math-lessp minutes 60)
2786 (list 'hms 0 minutes seconds)))
2787 ((and (eq (car-safe seconds) 'hms)
2788 (math-zerop (nth 1 seconds))
2789 (math-zerop (nth 2 seconds)))
2790 (math-add (list 'hms 0 minutes 0) seconds))
2791 (t nil)))))
2792
2793 ;; Seconds
2794 ((string-match "^\\([^\"#^]+\\)[sS\"]$" s)
2795 (let ((seconds (math-read-number (math-match-substring s 1))))
2796 (and seconds (math-realp seconds)
2797 (not (math-negp seconds))
2798 (Math-lessp seconds 60)
2799 (list 'hms 0 0 seconds))))
2800
2801 ;; Integer+fraction with explicit radix
2802 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s)
2803 (let ((radix (string-to-int (math-match-substring s 1)))
2804 (int (math-match-substring s 3))
2805 (num (math-match-substring s 4))
2806 (den (math-match-substring s 5)))
2807 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2808 (num (if (> (length num) 0) (math-read-radix num radix) 1))
2809 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2810 (and int num den (not (math-zerop den))
2811 (list 'frac
2812 (math-add num (math-mul int den))
2813 den)))))
2814
2815 ;; Fraction with explicit radix
2816 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s)
2817 (let ((radix (string-to-int (math-match-substring s 1)))
2818 (num (math-match-substring s 3))
2819 (den (math-match-substring s 4)))
2820 (let ((num (if (> (length num) 0) (math-read-radix num radix) 1))
2821 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2822 (and num den (not (math-zerop den)) (list 'frac num den)))))
2823
2824 ;; Float with explicit radix and exponent
2825 ((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s)
2826 (string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s))
2827 (let ((radix (string-to-int (math-match-substring s 2)))
2828 (mant (math-match-substring s 1))
2829 (exp (math-match-substring s 4)))
2830 (let ((mant (math-read-number mant))
2831 (exp (math-read-number exp)))
2832 (and mant exp
2833 (math-mul mant (math-pow (math-float radix) exp))))))
2834
2835 ;; Float with explicit radix, no exponent
2836 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s)
2837 (let ((radix (string-to-int (math-match-substring s 1)))
2838 (int (math-match-substring s 3))
2839 (fracs (math-match-substring s 4)))
2840 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2841 (frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0))
2842 (calc-prefer-frac nil))
2843 (and int frac
2844 (math-add int (math-div frac (math-pow radix (length fracs))))))))
2845
2846 ;; Integer with explicit radix
2847 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s)
2848 (math-read-radix (math-match-substring s 3)
2849 (string-to-int (math-match-substring s 1))))
2850
2851 ;; C language hexadecimal notation
2852 ((and (eq calc-language 'c)
2853 (string-match "^0[xX]\\([0-9a-fA-F]+\\)$" s))
2854 (let ((digs (math-match-substring s 1)))
2855 (math-read-radix digs 16)))
2856
2857 ;; Pascal language hexadecimal notation
2858 ((and (eq calc-language 'pascal)
2859 (string-match "^\\$\\([0-9a-fA-F]+\\)$" s))
2860 (let ((digs (math-match-substring s 1)))
2861 (math-read-radix digs 16)))
2862
2863 ;; Fraction using "/" instead of ":"
2864 ((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s)
2865 (math-read-number (concat (math-match-substring s 1) ":"
2866 (math-match-substring s 2))))
2867
2868 ;; Syntax error!
2869 (t nil)))
2870
2871 (defun math-read-radix (s r) ; [I X D]
2872 (setq s (upcase s))
2873 (let ((i 0)
2874 (res 0)
2875 dig)
2876 (while (and (< i (length s))
2877 (setq dig (math-read-radix-digit (elt s i)))
2878 (< dig r))
2879 (setq res (math-add (math-mul res r) dig)
2880 i (1+ i)))
2881 (and (= i (length s))
2882 res)))
2883
2884
2885
2886 ;;; Expression parsing.
2887
2888 (defun math-read-expr (exp-str)
2889 (let ((exp-pos 0)
2890 (exp-old-pos 0)
2891 (exp-keep-spaces nil)
2892 exp-token exp-data)
2893 (while (setq exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" exp-str))
2894 (setq exp-str (concat (substring exp-str 0 exp-token) "\\dots"
2895 (substring exp-str (+ exp-token 2)))))
2896 (math-build-parse-table)
2897 (math-read-token)
2898 (let ((val (catch 'syntax (math-read-expr-level 0))))
2899 (if (stringp val)
2900 (list 'error exp-old-pos val)
2901 (if (equal exp-token 'end)
2902 val
2903 (list 'error exp-old-pos "Syntax error"))))))
2904
2905 (defun math-read-plain-expr (exp-str &optional error-check)
2906 (let* ((calc-language nil)
2907 (math-expr-opers math-standard-opers)
2908 (val (math-read-expr exp-str)))
2909 (and error-check
2910 (eq (car-safe val) 'error)
2911 (error "%s: %s" (nth 2 val) exp-str))
2912 val))
2913
2914
2915 (defun math-read-string ()
2916 (let ((str (read-from-string (concat exp-data "\""))))
2917 (or (and (= (cdr str) (1+ (length exp-data)))
2918 (stringp (car str)))
2919 (throw 'syntax "Error in string constant"))
2920 (math-read-token)
2921 (append '(vec) (car str) nil)))
2922
2923
2924
2925 ;;; They said it couldn't be done...
2926
2927 (defun math-read-big-expr (str)
2928 (and (> (length calc-left-label) 0)
2929 (string-match (concat "^" (regexp-quote calc-left-label)) str)
2930 (setq str (concat (substring str 0 (match-beginning 0))
2931 (substring str (match-end 0)))))
2932 (and (> (length calc-right-label) 0)
2933 (string-match (concat (regexp-quote calc-right-label) " *$") str)
2934 (setq str (concat (substring str 0 (match-beginning 0))
2935 (substring str (match-end 0)))))
2936 (if (string-match "\\\\[^ \n|]" str)
2937 (if (eq calc-language 'tex)
2938 (math-read-expr str)
2939 (let ((calc-language 'tex)
2940 (calc-language-option nil)
2941 (math-expr-opers (get 'tex 'math-oper-table))
2942 (math-expr-function-mapping (get 'tex 'math-function-table))
2943 (math-expr-variable-mapping (get 'tex 'math-variable-table)))
2944 (math-read-expr str)))
2945 (let ((lines nil)
2946 (pos 0)
2947 (width 0)
2948 (err-msg nil)
2949 the-baseline the-h2
2950 new-pos p)
2951 (while (setq new-pos (string-match "\n" str pos))
2952 (setq lines (cons (substring str pos new-pos) lines)
2953 pos (1+ new-pos)))
2954 (setq lines (nreverse (cons (substring str pos) lines))
2955 p lines)
2956 (while p
2957 (setq width (max width (length (car p)))
2958 p (cdr p)))
2959 (if (math-read-big-bigp lines)
2960 (or (catch 'syntax
2961 (math-read-big-rec 0 0 width (length lines)))
2962 err-msg
2963 '(error 0 "Syntax error"))
2964 (math-read-expr str)))))
2965
2966 (defun math-read-big-bigp (lines)
2967 (and (cdr lines)
2968 (let ((matrix nil)
2969 (v 0)
2970 (height (if (> (length (car lines)) 0) 1 0)))
2971 (while (and (cdr lines)
2972 (let* ((i 0)
2973 j
2974 (l1 (car lines))
2975 (l2 (nth 1 lines))
2976 (len (min (length l1) (length l2))))
2977 (if (> (length l2) 0)
2978 (setq height (1+ height)))
2979 (while (and (< i len)
2980 (or (memq (aref l1 i) '(?\ ?\- ?\_))
2981 (memq (aref l2 i) '(?\ ?\-))
2982 (and (memq (aref l1 i) '(?\| ?\,))
2983 (= (aref l2 i) (aref l1 i)))
2984 (and (eq (aref l1 i) ?\[)
2985 (eq (aref l2 i) ?\[)
2986 (let ((h2 (length l1)))
2987 (setq j (math-read-big-balance
2988 (1+ i) v "[")))
2989 (setq i (1- j)))))
2990 (setq i (1+ i)))
2991 (or (= i len)
2992 (and (eq (aref l1 i) ?\[)
2993 (eq (aref l2 i) ?\[)
2994 (setq matrix t)
2995 nil))))
2996 (setq lines (cdr lines)
2997 v (1+ v)))
2998 (or (and (> height 1)
2999 (not (cdr lines)))
3000 matrix))))
3001
3002 ;;; Nontrivial "flat" formatting.
3003
3004 (defvar math-format-hash-args nil)
3005 (defvar calc-can-abbrev-vectors nil)
3006
3007 (defun math-format-flat-expr-fancy (a prec)
3008 (cond
3009 ((eq (car a) 'incomplete)
3010 (format "<incomplete %s>" (nth 1 a)))
3011 ((eq (car a) 'vec)
3012 (if (or calc-full-trail-vectors (not calc-can-abbrev-vectors)
3013 (< (length a) 7))
3014 (concat "[" (math-format-flat-vector (cdr a) ", "
3015 (if (cdr (cdr a)) 0 1000)) "]")
3016 (concat "["
3017 (math-format-flat-expr (nth 1 a) 0) ", "
3018 (math-format-flat-expr (nth 2 a) 0) ", "
3019 (math-format-flat-expr (nth 3 a) 0) ", ..., "
3020 (math-format-flat-expr (nth (1- (length a)) a) 0) "]")))
3021 ((eq (car a) 'intv)
3022 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3023 (math-format-flat-expr (nth 2 a) 1000)
3024 " .. "
3025 (math-format-flat-expr (nth 3 a) 1000)
3026 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3027 ((eq (car a) 'date)
3028 (concat "<" (math-format-date a) ">"))
3029 ((and (eq (car a) 'calcFunc-lambda) (> (length a) 2))
3030 (let ((p (cdr a))
3031 (ap calc-arg-values)
3032 (math-format-hash-args (if (= (length a) 3) 1 t)))
3033 (while (and (cdr p) (equal (car p) (car ap)))
3034 (setq p (cdr p) ap (cdr ap)))
3035 (concat "<"
3036 (if (cdr p)
3037 (concat (math-format-flat-vector
3038 (nreverse (cdr (reverse (cdr a)))) ", " 0)
3039 " : ")
3040 "")
3041 (math-format-flat-expr (nth (1- (length a)) a) 0)
3042 ">")))
3043 ((eq (car a) 'var)
3044 (or (and math-format-hash-args
3045 (let ((p calc-arg-values) (v 1))
3046 (while (and p (not (equal (car p) a)))
3047 (setq p (and (eq math-format-hash-args t) (cdr p))
3048 v (1+ v)))
3049 (and p
3050 (if (eq math-format-hash-args 1)
3051 "#"
3052 (format "#%d" v)))))
3053 (symbol-name (nth 1 a))))
3054 ((and (memq (car a) '(calcFunc-string calcFunc-bstring))
3055 (= (length a) 2)
3056 (math-vectorp (nth 1 a))
3057 (math-vector-is-string (nth 1 a)))
3058 (concat (substring (symbol-name (car a)) 9)
3059 "(" (math-vector-to-string (nth 1 a) t) ")"))
3060 (t
3061 (let ((op (math-assq2 (car a) math-standard-opers)))
3062 (cond ((and op (= (length a) 3))
3063 (if (> prec (min (nth 2 op) (nth 3 op)))
3064 (concat "(" (math-format-flat-expr a 0) ")")
3065 (let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op)))
3066 (rhs (math-format-flat-expr (nth 2 a) (nth 3 op))))
3067 (setq op (car op))
3068 (if (or (equal op "^") (equal op "_"))
3069 (if (= (aref lhs 0) ?-)
3070 (setq lhs (concat "(" lhs ")")))
3071 (setq op (concat " " op " ")))
3072 (concat lhs op rhs))))
3073 ((eq (car a) 'neg)
3074 (concat "-" (math-format-flat-expr (nth 1 a) 1000)))
3075 (t
3076 (concat (math-remove-dashes
3077 (if (string-match "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
3078 (symbol-name (car a)))
3079 (math-match-substring (symbol-name (car a)) 1)
3080 (symbol-name (car a))))
3081 "("
3082 (math-format-flat-vector (cdr a) ", " 0)
3083 ")")))))))
3084
3085 (defun math-format-flat-vector (vec sep prec)
3086 (if vec
3087 (let ((buf (math-format-flat-expr (car vec) prec)))
3088 (while (setq vec (cdr vec))
3089 (setq buf (concat buf sep (math-format-flat-expr (car vec) prec))))
3090 buf)
3091 ""))
3092
3093 (defun math-format-nice-expr (x w)
3094 (cond ((and (eq (car-safe x) 'vec)
3095 (cdr (cdr x))
3096 (let ((ops '(vec calcFunc-assign calcFunc-condition
3097 calcFunc-schedule calcFunc-iterations
3098 calcFunc-phase)))
3099 (or (memq (car-safe (nth 1 x)) ops)
3100 (memq (car-safe (nth 2 x)) ops)
3101 (memq (car-safe (nth 3 x)) ops)
3102 calc-break-vectors)))
3103 (concat "[ " (math-format-flat-vector (cdr x) ",\n " 0) " ]"))
3104 (t
3105 (let ((str (math-format-flat-expr x 0))
3106 (pos 0) p)
3107 (or (string-match "\"" str)
3108 (while (<= (setq p (+ pos w)) (length str))
3109 (while (and (> (setq p (1- p)) pos)
3110 (not (= (aref str p) ? ))))
3111 (if (> p (+ pos 5))
3112 (setq str (concat (substring str 0 p)
3113 "\n "
3114 (substring str p))
3115 pos (1+ p))
3116 (setq pos (+ pos w)))))
3117 str))))
3118
3119 (defun math-assq2 (v a)
3120 (while (and a (not (eq v (nth 1 (car a)))))
3121 (setq a (cdr a)))
3122 (car a))
3123
3124 (defun math-format-number-fancy (a prec)
3125 (cond
3126 ((eq (car a) 'float) ; non-decimal radix
3127 (if (Math-integer-negp (nth 1 a))
3128 (concat "-" (math-format-number (math-neg a)))
3129 (let ((str (if (and calc-radix-formatter
3130 (not (memq calc-language '(c pascal))))
3131 (funcall calc-radix-formatter
3132 calc-number-radix
3133 (math-format-radix-float a prec))
3134 (format "%d#%s" calc-number-radix
3135 (math-format-radix-float a prec)))))
3136 (if (and prec (> prec 191) (string-match "\\*" str))
3137 (concat "(" str ")")
3138 str))))
3139 ((eq (car a) 'frac)
3140 (setq a (math-adjust-fraction a))
3141 (if (> (length (car calc-frac-format)) 1)
3142 (if (Math-integer-negp (nth 1 a))
3143 (concat "-" (math-format-number (math-neg a)))
3144 (let ((q (math-idivmod (nth 1 a) (nth 2 a))))
3145 (concat (let ((calc-frac-format nil))
3146 (math-format-number (car q)))
3147 (substring (car calc-frac-format) 0 1)
3148 (let ((math-radix-explicit-format nil)
3149 (calc-frac-format nil))
3150 (math-format-number (cdr q)))
3151 (substring (car calc-frac-format) 1 2)
3152 (let ((math-radix-explicit-format nil)
3153 (calc-frac-format nil))
3154 (math-format-number (nth 2 a))))))
3155 (concat (let ((calc-frac-format nil))
3156 (math-format-number (nth 1 a)))
3157 (car calc-frac-format)
3158 (let ((math-radix-explicit-format nil)
3159 (calc-frac-format nil))
3160 (math-format-number (nth 2 a))))))
3161 ((eq (car a) 'cplx)
3162 (if (math-zerop (nth 2 a))
3163 (math-format-number (nth 1 a))
3164 (if (null calc-complex-format)
3165 (concat "(" (math-format-number (nth 1 a))
3166 ", " (math-format-number (nth 2 a)) ")")
3167 (if (math-zerop (nth 1 a))
3168 (if (math-equal-int (nth 2 a) 1)
3169 (symbol-name calc-complex-format)
3170 (if (math-equal-int (nth 2 a) -1)
3171 (concat "-" (symbol-name calc-complex-format))
3172 (if prec
3173 (math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec)
3174 (concat (math-format-number (nth 2 a)) " "
3175 (symbol-name calc-complex-format)))))
3176 (if prec
3177 (math-compose-expr (list (if (math-negp (nth 2 a)) '- '+)
3178 (nth 1 a)
3179 (list 'cplx 0 (math-abs (nth 2 a))))
3180 prec)
3181 (concat (math-format-number (nth 1 a))
3182 (if (math-negp (nth 2 a)) " - " " + ")
3183 (math-format-number
3184 (list 'cplx 0 (math-abs (nth 2 a))))))))))
3185 ((eq (car a) 'polar)
3186 (concat "(" (math-format-number (nth 1 a))
3187 "; " (math-format-number (nth 2 a)) ")"))
3188 ((eq (car a) 'hms)
3189 (if (math-negp a)
3190 (concat "-" (math-format-number (math-neg a)))
3191 (let ((calc-number-radix 10)
3192 (calc-leading-zeros nil)
3193 (calc-group-digits nil))
3194 (format calc-hms-format
3195 (let ((calc-frac-format '(":" nil)))
3196 (math-format-number (nth 1 a)))
3197 (let ((calc-frac-format '(":" nil)))
3198 (math-format-number (nth 2 a)))
3199 (math-format-number (nth 3 a))))))
3200 ((eq (car a) 'intv)
3201 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3202 (math-format-number (nth 2 a))
3203 " .. "
3204 (math-format-number (nth 3 a))
3205 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3206 ((eq (car a) 'sdev)
3207 (concat (math-format-number (nth 1 a))
3208 " +/- "
3209 (math-format-number (nth 2 a))))
3210 ((eq (car a) 'vec)
3211 (math-format-flat-expr a 0))
3212 (t (format "%s" a))))
3213
3214 (defun math-adjust-fraction (a)
3215 (if (nth 1 calc-frac-format)
3216 (progn
3217 (if (Math-integerp a) (setq a (list 'frac a 1)))
3218 (let ((g (math-quotient (nth 1 calc-frac-format)
3219 (math-gcd (nth 2 a)
3220 (nth 1 calc-frac-format)))))
3221 (list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g))))
3222 a))
3223
3224 (defun math-format-bignum-fancy (a) ; [X L]
3225 (let ((str (cond ((= calc-number-radix 10)
3226 (math-format-bignum-decimal a))
3227 ((= calc-number-radix 2)
3228 (math-format-bignum-binary a))
3229 ((= calc-number-radix 8)
3230 (math-format-bignum-octal a))
3231 ((= calc-number-radix 16)
3232 (math-format-bignum-hex a))
3233 (t (math-format-bignum-radix a)))))
3234 (if calc-leading-zeros
3235 (let* ((calc-internal-prec 6)
3236 (digs (math-compute-max-digits (math-abs calc-word-size)
3237 calc-number-radix))
3238 (len (length str)))
3239 (if (< len digs)
3240 (setq str (concat (make-string (- digs len) ?0) str)))))
3241 (if calc-group-digits
3242 (let ((i (length str))
3243 (g (if (integerp calc-group-digits)
3244 (math-abs calc-group-digits)
3245 (if (memq calc-number-radix '(2 16)) 4 3))))
3246 (while (> i g)
3247 (setq i (- i g)
3248 str (concat (substring str 0 i)
3249 calc-group-char
3250 (substring str i))))
3251 str))
3252 (if (and (/= calc-number-radix 10)
3253 math-radix-explicit-format)
3254 (if calc-radix-formatter
3255 (funcall calc-radix-formatter calc-number-radix str)
3256 (format "%d#%s" calc-number-radix str))
3257 str)))
3258
3259
3260 (defun math-group-float (str) ; [X X]
3261 (let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str)))
3262 (g (if (integerp calc-group-digits) (math-abs calc-group-digits) 3))
3263 (i pt))
3264 (if (and (integerp calc-group-digits) (< calc-group-digits 0))
3265 (while (< (setq i (+ (1+ i) g)) (length str))
3266 (setq str (concat (substring str 0 i)
3267 calc-group-char
3268 (substring str i))
3269 i (+ i (1- (length calc-group-char))))))
3270 (setq i pt)
3271 (while (> i g)
3272 (setq i (- i g)
3273 str (concat (substring str 0 i)
3274 calc-group-char
3275 (substring str i))))
3276 str))
3277
3278 ;;; Users can redefine this in their .emacs files.
3279 (defvar calc-keypad-user-menu nil
3280 "If non-nil, this describes an additional menu for calc-keypad.
3281 It should contain a list of three rows.
3282 Each row should be a list of six keys.
3283 Each key should be a list of a label string, plus a Calc command name spec.
3284 A command spec is a command name symbol, a keyboard macro string, a
3285 list containing a numeric entry string, or nil.
3286 A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.")
3287
3288 (run-hooks 'calc-ext-load-hook)
3289
3290 ;;; calc-ext.el ends here