1 ;;; calc-ext.el --- various extension functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
4 ;; 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
6 ;; Author: David Gillespie <daveg@synaptics.com>
7 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
9 ;; This file is part of GNU Emacs.
11 ;; GNU Emacs is free software: you can redistribute it and/or modify
12 ;; it under the terms of the GNU General Public License as published by
13 ;; the Free Software Foundation, either version 3 of the License, or
14 ;; (at your option) any later version.
16 ;; GNU Emacs is distributed in the hope that it will be useful,
17 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
18 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
19 ;; GNU General Public License for more details.
21 ;; You should have received a copy of the GNU General Public License
22 ;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>.
31 ;; Declare functions which are defined elsewhere.
32 (declare-function math-clip "calc-bin" (a &optional w))
33 (declare-function math-round "calc-arith" (a &optional prec))
34 (declare-function math-simplify "calc-alg" (top-expr))
35 (declare-function math-simplify-extended "calc-alg" (a))
36 (declare-function math-simplify-units "calc-units" (a))
37 (declare-function calc-set-language "calc-lang" (lang &optional option no-refresh))
38 (declare-function calc-flush-caches "calc-stuff" (&optional inhibit-msg))
39 (declare-function calc-save-modes "calc-mode" ())
40 (declare-function calc-embedded-modes-change "calc-embed" (vars))
41 (declare-function calc-embedded-var-change "calc-embed" (var &optional buf))
42 (declare-function math-mul-float "calc-arith" (a b))
43 (declare-function math-arctan-raw "calc-math" (x))
44 (declare-function math-sqrt-raw "calc-math" (a &optional guess))
45 (declare-function math-sqrt-float "calc-math" (a &optional guess))
46 (declare-function math-exp-minus-1-raw "calc-math" (x))
47 (declare-function math-normalize-polar "calc-cplx" (a))
48 (declare-function math-normalize-hms "calc-forms" (a))
49 (declare-function math-normalize-mod "calc-forms" (a))
50 (declare-function math-make-sdev "calc-forms" (x sigma))
51 (declare-function math-make-intv "calc-forms" (mask lo hi))
52 (declare-function math-normalize-logical-op "calc-prog" (a))
53 (declare-function math-possible-signs "calc-arith" (a &optional origin))
54 (declare-function math-infinite-dir "calc-math" (a &optional inf))
55 (declare-function math-calcFunc-to-var "calc-map" (f))
56 (declare-function calc-embedded-evaluate-expr "calc-embed" (x))
57 (declare-function math-known-nonzerop "calc-arith" (a))
58 (declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term))
59 (declare-function math-read-big-rec "calc-lang" (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2 &optional baseline prec short))
60 (declare-function math-read-big-balance "calc-lang" (h v what &optional commas))
61 (declare-function math-format-date "calc-forms" (math-fd-date))
62 (declare-function math-vector-is-string "calccomp" (a))
63 (declare-function math-vector-to-string "calccomp" (a &optional quoted))
64 (declare-function math-format-radix-float "calc-bin" (a prec))
65 (declare-function math-compose-expr "calccomp" (a prec))
66 (declare-function math-abs "calc-arith" (a))
67 (declare-function math-format-bignum-binary "calc-bin" (a))
68 (declare-function math-format-bignum-octal "calc-bin" (a))
69 (declare-function math-format-bignum-hex "calc-bin" (a))
70 (declare-function math-format-bignum-radix "calc-bin" (a))
71 (declare-function math-compute-max-digits "calc-bin" (w r))
72 (declare-function math-map-vec "calc-vec" (f a))
73 (declare-function math-make-frac "calc-frac" (num den))
76 (defvar math-simplifying nil)
77 (defvar math-living-dangerously nil) ; true if unsafe simplifications are okay.
78 (defvar math-integrating nil)
80 (defvar math-rewrite-selections nil)
82 (defvar math-compose-level 0)
83 (defvar math-comp-selected nil)
84 (defvar math-comp-tagged nil)
85 (defvar math-comp-sel-hpos nil)
86 (defvar math-comp-sel-vpos nil)
87 (defvar math-comp-sel-cpos nil)
88 (defvar math-compose-hash-args nil)
91 (defvar calc-alg-esc-map)
93 ;;; The following was made a function so that it could be byte-compiled.
94 (defun calc-init-extensions ()
96 (define-key calc-mode-map ":" 'calc-fdiv)
97 (define-key calc-mode-map "\\" 'calc-idiv)
98 (define-key calc-mode-map "|" 'calc-concat)
99 (define-key calc-mode-map "!" 'calc-factorial)
100 (define-key calc-mode-map "C" 'calc-cos)
101 (define-key calc-mode-map "E" 'calc-exp)
102 (define-key calc-mode-map "H" 'calc-hyperbolic)
103 (define-key calc-mode-map "I" 'calc-inverse)
104 (define-key calc-mode-map "J" 'calc-conj)
105 (define-key calc-mode-map "L" 'calc-ln)
106 (define-key calc-mode-map "N" 'calc-eval-num)
107 (define-key calc-mode-map "P" 'calc-pi)
108 (define-key calc-mode-map "Q" 'calc-sqrt)
109 (define-key calc-mode-map "R" 'calc-round)
110 (define-key calc-mode-map "S" 'calc-sin)
111 (define-key calc-mode-map "T" 'calc-tan)
112 (define-key calc-mode-map "U" 'calc-undo)
113 (define-key calc-mode-map "X" 'calc-call-last-kbd-macro)
114 (define-key calc-mode-map "o" 'calc-realign)
115 (define-key calc-mode-map "p" 'calc-precision)
116 (define-key calc-mode-map "w" 'calc-why)
117 (define-key calc-mode-map "x" 'calc-execute-extended-command)
118 (define-key calc-mode-map "y" 'calc-copy-to-buffer)
120 (define-key calc-mode-map "(" 'calc-begin-complex)
121 (define-key calc-mode-map ")" 'calc-end-complex)
122 (define-key calc-mode-map "[" 'calc-begin-vector)
123 (define-key calc-mode-map "]" 'calc-end-vector)
124 (define-key calc-mode-map "," 'calc-comma)
125 (define-key calc-mode-map ";" 'calc-semi)
126 (define-key calc-mode-map "`" 'calc-edit)
127 (define-key calc-mode-map "=" 'calc-evaluate)
128 (define-key calc-mode-map "~" 'calc-num-prefix)
129 (define-key calc-mode-map "<" 'calc-scroll-left)
130 (define-key calc-mode-map ">" 'calc-scroll-right)
131 (define-key calc-mode-map "{" 'calc-scroll-down)
132 (define-key calc-mode-map "}" 'calc-scroll-up)
133 (define-key calc-mode-map "\C-k" 'calc-kill)
134 (define-key calc-mode-map "\M-k" 'calc-copy-as-kill)
135 (define-key calc-mode-map "\C-w" 'calc-kill-region)
136 (define-key calc-mode-map "\M-w" 'calc-copy-region-as-kill)
137 (define-key calc-mode-map "\M-\C-w" 'kill-ring-save)
138 (define-key calc-mode-map "\C-_" 'calc-undo)
139 (define-key calc-mode-map "\C-xu" 'calc-undo)
140 (define-key calc-mode-map "\M-\C-m" 'calc-last-args)
142 (define-key calc-mode-map "a" nil)
143 (define-key calc-mode-map "a?" 'calc-a-prefix-help)
144 (define-key calc-mode-map "aa" 'calc-apart)
145 (define-key calc-mode-map "ab" 'calc-substitute)
146 (define-key calc-mode-map "ac" 'calc-collect)
147 (define-key calc-mode-map "ad" 'calc-derivative)
148 (define-key calc-mode-map "ae" 'calc-simplify-extended)
149 (define-key calc-mode-map "af" 'calc-factor)
150 (define-key calc-mode-map "ag" 'calc-poly-gcd)
151 (define-key calc-mode-map "ai" 'calc-integral)
152 (define-key calc-mode-map "am" 'calc-match)
153 (define-key calc-mode-map "an" 'calc-normalize-rat)
154 (define-key calc-mode-map "ap" 'calc-poly-interp)
155 (define-key calc-mode-map "ar" 'calc-rewrite)
156 (define-key calc-mode-map "as" 'calc-simplify)
157 (define-key calc-mode-map "at" 'calc-taylor)
158 (define-key calc-mode-map "av" 'calc-alg-evaluate)
159 (define-key calc-mode-map "ax" 'calc-expand)
160 (define-key calc-mode-map "aA" 'calc-abs)
161 (define-key calc-mode-map "aF" 'calc-curve-fit)
162 (define-key calc-mode-map "aI" 'calc-num-integral)
163 (define-key calc-mode-map "aM" 'calc-map-equation)
164 (define-key calc-mode-map "aN" 'calc-find-minimum)
165 (define-key calc-mode-map "aP" 'calc-poly-roots)
166 (define-key calc-mode-map "aS" 'calc-solve-for)
167 (define-key calc-mode-map "aR" 'calc-find-root)
168 (define-key calc-mode-map "aT" 'calc-tabulate)
169 (define-key calc-mode-map "aX" 'calc-find-maximum)
170 (define-key calc-mode-map "a+" 'calc-summation)
171 (define-key calc-mode-map "a-" 'calc-alt-summation)
172 (define-key calc-mode-map "a*" 'calc-product)
173 (define-key calc-mode-map "a\\" 'calc-poly-div)
174 (define-key calc-mode-map "a%" 'calc-poly-rem)
175 (define-key calc-mode-map "a/" 'calc-poly-div-rem)
176 (define-key calc-mode-map "a=" 'calc-equal-to)
177 (define-key calc-mode-map "a#" 'calc-not-equal-to)
178 (define-key calc-mode-map "a<" 'calc-less-than)
179 (define-key calc-mode-map "a>" 'calc-greater-than)
180 (define-key calc-mode-map "a[" 'calc-less-equal)
181 (define-key calc-mode-map "a]" 'calc-greater-equal)
182 (define-key calc-mode-map "a." 'calc-remove-equal)
183 (define-key calc-mode-map "a{" 'calc-in-set)
184 (define-key calc-mode-map "a&" 'calc-logical-and)
185 (define-key calc-mode-map "a|" 'calc-logical-or)
186 (define-key calc-mode-map "a!" 'calc-logical-not)
187 (define-key calc-mode-map "a:" 'calc-logical-if)
188 (define-key calc-mode-map "a_" 'calc-subscript)
189 (define-key calc-mode-map "a\"" 'calc-expand-formula)
191 (define-key calc-mode-map "b" nil)
192 (define-key calc-mode-map "b?" 'calc-b-prefix-help)
193 (define-key calc-mode-map "ba" 'calc-and)
194 (define-key calc-mode-map "bc" 'calc-clip)
195 (define-key calc-mode-map "bd" 'calc-diff)
196 (define-key calc-mode-map "bl" 'calc-lshift-binary)
197 (define-key calc-mode-map "bn" 'calc-not)
198 (define-key calc-mode-map "bo" 'calc-or)
199 (define-key calc-mode-map "bp" 'calc-pack-bits)
200 (define-key calc-mode-map "br" 'calc-rshift-binary)
201 (define-key calc-mode-map "bt" 'calc-rotate-binary)
202 (define-key calc-mode-map "bu" 'calc-unpack-bits)
203 (define-key calc-mode-map "bw" 'calc-word-size)
204 (define-key calc-mode-map "bx" 'calc-xor)
205 (define-key calc-mode-map "bB" 'calc-log)
206 (define-key calc-mode-map "bD" 'calc-fin-ddb)
207 (define-key calc-mode-map "bF" 'calc-fin-fv)
208 (define-key calc-mode-map "bI" 'calc-fin-irr)
209 (define-key calc-mode-map "bL" 'calc-lshift-arith)
210 (define-key calc-mode-map "bM" 'calc-fin-pmt)
211 (define-key calc-mode-map "bN" 'calc-fin-npv)
212 (define-key calc-mode-map "bP" 'calc-fin-pv)
213 (define-key calc-mode-map "bR" 'calc-rshift-arith)
214 (define-key calc-mode-map "bS" 'calc-fin-sln)
215 (define-key calc-mode-map "bT" 'calc-fin-rate)
216 (define-key calc-mode-map "bY" 'calc-fin-syd)
217 (define-key calc-mode-map "b#" 'calc-fin-nper)
218 (define-key calc-mode-map "b%" 'calc-percent-change)
220 (define-key calc-mode-map "c" nil)
221 (define-key calc-mode-map "c?" 'calc-c-prefix-help)
222 (define-key calc-mode-map "cc" 'calc-clean)
223 (define-key calc-mode-map "cd" 'calc-to-degrees)
224 (define-key calc-mode-map "cf" 'calc-float)
225 (define-key calc-mode-map "ch" 'calc-to-hms)
226 (define-key calc-mode-map "cp" 'calc-polar)
227 (define-key calc-mode-map "cr" 'calc-to-radians)
228 (define-key calc-mode-map "cC" 'calc-cos)
229 (define-key calc-mode-map "cF" 'calc-fraction)
230 (define-key calc-mode-map "c%" 'calc-convert-percent)
232 (define-key calc-mode-map "d" nil)
233 (define-key calc-mode-map "d?" 'calc-d-prefix-help)
234 (define-key calc-mode-map "d0" 'calc-decimal-radix)
235 (define-key calc-mode-map "d2" 'calc-binary-radix)
236 (define-key calc-mode-map "d6" 'calc-hex-radix)
237 (define-key calc-mode-map "d8" 'calc-octal-radix)
238 (define-key calc-mode-map "db" 'calc-line-breaking)
239 (define-key calc-mode-map "dc" 'calc-complex-notation)
240 (define-key calc-mode-map "dd" 'calc-date-notation)
241 (define-key calc-mode-map "de" 'calc-eng-notation)
242 (define-key calc-mode-map "df" 'calc-fix-notation)
243 (define-key calc-mode-map "dg" 'calc-group-digits)
244 (define-key calc-mode-map "dh" 'calc-hms-notation)
245 (define-key calc-mode-map "di" 'calc-i-notation)
246 (define-key calc-mode-map "dj" 'calc-j-notation)
247 (define-key calc-mode-map "dl" 'calc-line-numbering)
248 (define-key calc-mode-map "dn" 'calc-normal-notation)
249 (define-key calc-mode-map "do" 'calc-over-notation)
250 (define-key calc-mode-map "dp" 'calc-show-plain)
251 (define-key calc-mode-map "dr" 'calc-radix)
252 (define-key calc-mode-map "ds" 'calc-sci-notation)
253 (define-key calc-mode-map "dt" 'calc-truncate-stack)
254 (define-key calc-mode-map "dw" 'calc-auto-why)
255 (define-key calc-mode-map "dz" 'calc-leading-zeros)
256 (define-key calc-mode-map "dA" 'calc-giac-language)
257 (define-key calc-mode-map "dB" 'calc-big-language)
258 (define-key calc-mode-map "dD" 'calc-redo)
259 (define-key calc-mode-map "dC" 'calc-c-language)
260 (define-key calc-mode-map "dE" 'calc-eqn-language)
261 (define-key calc-mode-map "dF" 'calc-fortran-language)
262 (define-key calc-mode-map "dM" 'calc-mathematica-language)
263 (define-key calc-mode-map "dN" 'calc-normal-language)
264 (define-key calc-mode-map "dO" 'calc-flat-language)
265 (define-key calc-mode-map "dP" 'calc-pascal-language)
266 (define-key calc-mode-map "dT" 'calc-tex-language)
267 (define-key calc-mode-map "dL" 'calc-latex-language)
268 (define-key calc-mode-map "dU" 'calc-unformatted-language)
269 (define-key calc-mode-map "dW" 'calc-maple-language)
270 (define-key calc-mode-map "dX" 'calc-maxima-language)
271 (define-key calc-mode-map "dY" 'calc-yacas-language)
272 (define-key calc-mode-map "d[" 'calc-truncate-up)
273 (define-key calc-mode-map "d]" 'calc-truncate-down)
274 (define-key calc-mode-map "d." 'calc-point-char)
275 (define-key calc-mode-map "d," 'calc-group-char)
276 (define-key calc-mode-map "d\"" 'calc-display-strings)
277 (define-key calc-mode-map "d<" 'calc-left-justify)
278 (define-key calc-mode-map "d=" 'calc-center-justify)
279 (define-key calc-mode-map "d>" 'calc-right-justify)
280 (define-key calc-mode-map "d{" 'calc-left-label)
281 (define-key calc-mode-map "d}" 'calc-right-label)
282 (define-key calc-mode-map "d'" 'calc-display-raw)
283 (define-key calc-mode-map "d " 'calc-refresh)
284 (define-key calc-mode-map "d\r" 'calc-refresh-top)
285 (define-key calc-mode-map "d@" 'calc-toggle-banner)
287 (define-key calc-mode-map "f" nil)
288 (define-key calc-mode-map "f?" 'calc-f-prefix-help)
289 (define-key calc-mode-map "fb" 'calc-beta)
290 (define-key calc-mode-map "fe" 'calc-erf)
291 (define-key calc-mode-map "fg" 'calc-gamma)
292 (define-key calc-mode-map "fh" 'calc-hypot)
293 (define-key calc-mode-map "fi" 'calc-im)
294 (define-key calc-mode-map "fj" 'calc-bessel-J)
295 (define-key calc-mode-map "fn" 'calc-min)
296 (define-key calc-mode-map "fr" 'calc-re)
297 (define-key calc-mode-map "fs" 'calc-sign)
298 (define-key calc-mode-map "fx" 'calc-max)
299 (define-key calc-mode-map "fy" 'calc-bessel-Y)
300 (define-key calc-mode-map "fA" 'calc-abssqr)
301 (define-key calc-mode-map "fB" 'calc-inc-beta)
302 (define-key calc-mode-map "fE" 'calc-expm1)
303 (define-key calc-mode-map "fF" 'calc-floor)
304 (define-key calc-mode-map "fG" 'calc-inc-gamma)
305 (define-key calc-mode-map "fI" 'calc-ilog)
306 (define-key calc-mode-map "fL" 'calc-lnp1)
307 (define-key calc-mode-map "fM" 'calc-mant-part)
308 (define-key calc-mode-map "fQ" 'calc-isqrt)
309 (define-key calc-mode-map "fS" 'calc-scale-float)
310 (define-key calc-mode-map "fT" 'calc-arctan2)
311 (define-key calc-mode-map "fX" 'calc-xpon-part)
312 (define-key calc-mode-map "f[" 'calc-decrement)
313 (define-key calc-mode-map "f]" 'calc-increment)
315 (define-key calc-mode-map "g" nil)
316 (define-key calc-mode-map "g?" 'calc-g-prefix-help)
317 (define-key calc-mode-map "ga" 'calc-graph-add)
318 (define-key calc-mode-map "gb" 'calc-graph-border)
319 (define-key calc-mode-map "gc" 'calc-graph-clear)
320 (define-key calc-mode-map "gd" 'calc-graph-delete)
321 (define-key calc-mode-map "gf" 'calc-graph-fast)
322 (define-key calc-mode-map "gg" 'calc-graph-grid)
323 (define-key calc-mode-map "gh" 'calc-graph-header)
324 (define-key calc-mode-map "gk" 'calc-graph-key)
325 (define-key calc-mode-map "gj" 'calc-graph-juggle)
326 (define-key calc-mode-map "gl" 'calc-graph-log-x)
327 (define-key calc-mode-map "gn" 'calc-graph-name)
328 (define-key calc-mode-map "gp" 'calc-graph-plot)
329 (define-key calc-mode-map "gq" 'calc-graph-quit)
330 (define-key calc-mode-map "gr" 'calc-graph-range-x)
331 (define-key calc-mode-map "gs" 'calc-graph-line-style)
332 (define-key calc-mode-map "gt" 'calc-graph-title-x)
333 (define-key calc-mode-map "gv" 'calc-graph-view-commands)
334 (define-key calc-mode-map "gx" 'calc-graph-display)
335 (define-key calc-mode-map "gz" 'calc-graph-zero-x)
336 (define-key calc-mode-map "gA" 'calc-graph-add-3d)
337 (define-key calc-mode-map "gC" 'calc-graph-command)
338 (define-key calc-mode-map "gD" 'calc-graph-device)
339 (define-key calc-mode-map "gF" 'calc-graph-fast-3d)
340 (define-key calc-mode-map "gG" 'calc-argument)
341 (define-key calc-mode-map "gH" 'calc-graph-hide)
342 (define-key calc-mode-map "gK" 'calc-graph-kill)
343 (define-key calc-mode-map "gL" 'calc-graph-log-y)
344 (define-key calc-mode-map "gN" 'calc-graph-num-points)
345 (define-key calc-mode-map "gO" 'calc-graph-output)
346 (define-key calc-mode-map "gP" 'calc-graph-print)
347 (define-key calc-mode-map "gR" 'calc-graph-range-y)
348 (define-key calc-mode-map "gS" 'calc-graph-point-style)
349 (define-key calc-mode-map "gT" 'calc-graph-title-y)
350 (define-key calc-mode-map "gV" 'calc-graph-view-trail)
351 (define-key calc-mode-map "gX" 'calc-graph-geometry)
352 (define-key calc-mode-map "gZ" 'calc-graph-zero-y)
353 (define-key calc-mode-map "g\C-l" 'calc-graph-log-z)
354 (define-key calc-mode-map "g\C-r" 'calc-graph-range-z)
355 (define-key calc-mode-map "g\C-t" 'calc-graph-title-z)
357 (define-key calc-mode-map "h" 'calc-help-prefix)
359 (define-key calc-mode-map "j" nil)
360 (define-key calc-mode-map "j?" 'calc-j-prefix-help)
361 (define-key calc-mode-map "ja" 'calc-select-additional)
362 (define-key calc-mode-map "jb" 'calc-break-selections)
363 (define-key calc-mode-map "jc" 'calc-clear-selections)
364 (define-key calc-mode-map "jd" 'calc-show-selections)
365 (define-key calc-mode-map "je" 'calc-enable-selections)
366 (define-key calc-mode-map "jl" 'calc-select-less)
367 (define-key calc-mode-map "jm" 'calc-select-more)
368 (define-key calc-mode-map "jn" 'calc-select-next)
369 (define-key calc-mode-map "jo" 'calc-select-once)
370 (define-key calc-mode-map "jp" 'calc-select-previous)
371 (define-key calc-mode-map "jr" 'calc-rewrite-selection)
372 (define-key calc-mode-map "js" 'calc-select-here)
373 (define-key calc-mode-map "jv" 'calc-sel-evaluate)
374 (define-key calc-mode-map "ju" 'calc-unselect)
375 (define-key calc-mode-map "jC" 'calc-sel-commute)
376 (define-key calc-mode-map "jD" 'calc-sel-distribute)
377 (define-key calc-mode-map "jE" 'calc-sel-jump-equals)
378 (define-key calc-mode-map "jI" 'calc-sel-isolate)
379 (define-key calc-mode-map "jJ" 'calc-conj)
380 (define-key calc-mode-map "jL" 'calc-commute-left)
381 (define-key calc-mode-map "jM" 'calc-sel-merge)
382 (define-key calc-mode-map "jN" 'calc-sel-negate)
383 (define-key calc-mode-map "jO" 'calc-select-once-maybe)
384 (define-key calc-mode-map "jR" 'calc-commute-right)
385 (define-key calc-mode-map "jS" 'calc-select-here-maybe)
386 (define-key calc-mode-map "jU" 'calc-sel-unpack)
387 (define-key calc-mode-map "j&" 'calc-sel-invert)
388 (define-key calc-mode-map "j\r" 'calc-copy-selection)
389 (define-key calc-mode-map "j\n" 'calc-copy-selection)
390 (define-key calc-mode-map "j\010" 'calc-del-selection)
391 (define-key calc-mode-map "j\177" 'calc-del-selection)
392 (define-key calc-mode-map "j'" 'calc-enter-selection)
393 (define-key calc-mode-map "j`" 'calc-edit-selection)
394 (define-key calc-mode-map "j+" 'calc-sel-add-both-sides)
395 (define-key calc-mode-map "j-" 'calc-sel-sub-both-sides)
396 (define-key calc-mode-map "j*" 'calc-sel-mult-both-sides)
397 (define-key calc-mode-map "j/" 'calc-sel-div-both-sides)
398 (define-key calc-mode-map "j\"" 'calc-sel-expand-formula)
400 (define-key calc-mode-map "k" nil)
401 (define-key calc-mode-map "k?" 'calc-k-prefix-help)
402 (define-key calc-mode-map "ka" 'calc-random-again)
403 (define-key calc-mode-map "kb" 'calc-bernoulli-number)
404 (define-key calc-mode-map "kc" 'calc-choose)
405 (define-key calc-mode-map "kd" 'calc-double-factorial)
406 (define-key calc-mode-map "ke" 'calc-euler-number)
407 (define-key calc-mode-map "kf" 'calc-prime-factors)
408 (define-key calc-mode-map "kg" 'calc-gcd)
409 (define-key calc-mode-map "kh" 'calc-shuffle)
410 (define-key calc-mode-map "kl" 'calc-lcm)
411 (define-key calc-mode-map "km" 'calc-moebius)
412 (define-key calc-mode-map "kn" 'calc-next-prime)
413 (define-key calc-mode-map "kp" 'calc-prime-test)
414 (define-key calc-mode-map "kr" 'calc-random)
415 (define-key calc-mode-map "ks" 'calc-stirling-number)
416 (define-key calc-mode-map "kt" 'calc-totient)
417 (define-key calc-mode-map "kB" 'calc-utpb)
418 (define-key calc-mode-map "kC" 'calc-utpc)
419 (define-key calc-mode-map "kE" 'calc-extended-gcd)
420 (define-key calc-mode-map "kF" 'calc-utpf)
421 (define-key calc-mode-map "kK" 'calc-keep-args)
422 (define-key calc-mode-map "kN" 'calc-utpn)
423 (define-key calc-mode-map "kP" 'calc-utpp)
424 (define-key calc-mode-map "kT" 'calc-utpt)
426 (define-key calc-mode-map "m" nil)
427 (define-key calc-mode-map "m?" 'calc-m-prefix-help)
428 (define-key calc-mode-map "ma" 'calc-algebraic-mode)
429 (define-key calc-mode-map "md" 'calc-degrees-mode)
430 (define-key calc-mode-map "me" 'calc-embedded-preserve-modes)
431 (define-key calc-mode-map "mf" 'calc-frac-mode)
432 (define-key calc-mode-map "mg" 'calc-get-modes)
433 (define-key calc-mode-map "mh" 'calc-hms-mode)
434 (define-key calc-mode-map "mi" 'calc-infinite-mode)
435 (define-key calc-mode-map "mm" 'calc-save-modes)
436 (define-key calc-mode-map "mp" 'calc-polar-mode)
437 (define-key calc-mode-map "mr" 'calc-radians-mode)
438 (define-key calc-mode-map "ms" 'calc-symbolic-mode)
439 (define-key calc-mode-map "mt" 'calc-total-algebraic-mode)
440 (define-key calc-mode-map "\emt" 'calc-total-algebraic-mode)
441 (define-key calc-mode-map "\em\et" 'calc-total-algebraic-mode)
442 (define-key calc-mode-map "mv" 'calc-matrix-mode)
443 (define-key calc-mode-map "mw" 'calc-working)
444 (define-key calc-mode-map "mx" 'calc-always-load-extensions)
445 (define-key calc-mode-map "mA" 'calc-alg-simplify-mode)
446 (define-key calc-mode-map "mB" 'calc-bin-simplify-mode)
447 (define-key calc-mode-map "mC" 'calc-auto-recompute)
448 (define-key calc-mode-map "mD" 'calc-default-simplify-mode)
449 (define-key calc-mode-map "mE" 'calc-ext-simplify-mode)
450 (define-key calc-mode-map "mF" 'calc-settings-file-name)
451 (define-key calc-mode-map "mM" 'calc-more-recursion-depth)
452 (define-key calc-mode-map "mN" 'calc-num-simplify-mode)
453 (define-key calc-mode-map "mO" 'calc-no-simplify-mode)
454 (define-key calc-mode-map "mR" 'calc-mode-record-mode)
455 (define-key calc-mode-map "mS" 'calc-shift-prefix)
456 (define-key calc-mode-map "mU" 'calc-units-simplify-mode)
457 (define-key calc-mode-map "mX" 'calc-load-everything)
459 (define-key calc-mode-map "r" nil)
460 (define-key calc-mode-map "ri" 'calc-insert-register)
461 (define-key calc-mode-map "rs" 'calc-copy-to-register)
462 (define-key calc-mode-map "r?" 'calc-r-prefix-help)
464 (define-key calc-mode-map "s" nil)
465 (define-key calc-mode-map "s?" 'calc-s-prefix-help)
466 (define-key calc-mode-map "sc" 'calc-copy-variable)
467 (define-key calc-mode-map "sd" 'calc-declare-variable)
468 (define-key calc-mode-map "se" 'calc-edit-variable)
469 (define-key calc-mode-map "si" 'calc-insert-variables)
470 (define-key calc-mode-map "sk" 'calc-copy-special-constant)
471 (define-key calc-mode-map "sl" 'calc-let)
472 (define-key calc-mode-map "sm" 'calc-store-map)
473 (define-key calc-mode-map "sn" 'calc-store-neg)
474 (define-key calc-mode-map "sp" 'calc-permanent-variable)
475 (define-key calc-mode-map "sr" 'calc-recall)
476 (define-key calc-mode-map "ss" 'calc-store)
477 (define-key calc-mode-map "st" 'calc-store-into)
478 (define-key calc-mode-map "su" 'calc-unstore)
479 (define-key calc-mode-map "sx" 'calc-store-exchange)
480 (define-key calc-mode-map "sA" 'calc-edit-AlgSimpRules)
481 (define-key calc-mode-map "sD" 'calc-edit-Decls)
482 (define-key calc-mode-map "sE" 'calc-edit-EvalRules)
483 (define-key calc-mode-map "sF" 'calc-edit-FitRules)
484 (define-key calc-mode-map "sG" 'calc-edit-GenCount)
485 (define-key calc-mode-map "sH" 'calc-edit-Holidays)
486 (define-key calc-mode-map "sI" 'calc-edit-IntegLimit)
487 (define-key calc-mode-map "sL" 'calc-edit-LineStyles)
488 (define-key calc-mode-map "sP" 'calc-edit-PointStyles)
489 (define-key calc-mode-map "sR" 'calc-edit-PlotRejects)
490 (define-key calc-mode-map "sS" 'calc-sin)
491 (define-key calc-mode-map "sT" 'calc-edit-TimeZone)
492 (define-key calc-mode-map "sU" 'calc-edit-Units)
493 (define-key calc-mode-map "sX" 'calc-edit-ExtSimpRules)
494 (define-key calc-mode-map "s+" 'calc-store-plus)
495 (define-key calc-mode-map "s-" 'calc-store-minus)
496 (define-key calc-mode-map "s*" 'calc-store-times)
497 (define-key calc-mode-map "s/" 'calc-store-div)
498 (define-key calc-mode-map "s^" 'calc-store-power)
499 (define-key calc-mode-map "s|" 'calc-store-concat)
500 (define-key calc-mode-map "s&" 'calc-store-inv)
501 (define-key calc-mode-map "s[" 'calc-store-decr)
502 (define-key calc-mode-map "s]" 'calc-store-incr)
503 (define-key calc-mode-map "s:" 'calc-assign)
504 (define-key calc-mode-map "s=" 'calc-evalto)
506 (define-key calc-mode-map "t" nil)
507 (define-key calc-mode-map "t?" 'calc-t-prefix-help)
508 (define-key calc-mode-map "tb" 'calc-trail-backward)
509 (define-key calc-mode-map "td" 'calc-trail-display)
510 (define-key calc-mode-map "tf" 'calc-trail-forward)
511 (define-key calc-mode-map "th" 'calc-trail-here)
512 (define-key calc-mode-map "ti" 'calc-trail-in)
513 (define-key calc-mode-map "tk" 'calc-trail-kill)
514 (define-key calc-mode-map "tm" 'calc-trail-marker)
515 (define-key calc-mode-map "tn" 'calc-trail-next)
516 (define-key calc-mode-map "to" 'calc-trail-out)
517 (define-key calc-mode-map "tp" 'calc-trail-previous)
518 (define-key calc-mode-map "tr" 'calc-trail-isearch-backward)
519 (define-key calc-mode-map "ts" 'calc-trail-isearch-forward)
520 (define-key calc-mode-map "ty" 'calc-trail-yank)
521 (define-key calc-mode-map "t[" 'calc-trail-first)
522 (define-key calc-mode-map "t]" 'calc-trail-last)
523 (define-key calc-mode-map "t<" 'calc-trail-scroll-left)
524 (define-key calc-mode-map "t>" 'calc-trail-scroll-right)
525 (define-key calc-mode-map "t{" 'calc-trail-backward)
526 (define-key calc-mode-map "t}" 'calc-trail-forward)
527 (define-key calc-mode-map "t." 'calc-full-trail-vectors)
528 (define-key calc-mode-map "tC" 'calc-convert-time-zones)
529 (define-key calc-mode-map "tD" 'calc-date)
530 (define-key calc-mode-map "tI" 'calc-inc-month)
531 (define-key calc-mode-map "tJ" 'calc-julian)
532 (define-key calc-mode-map "tM" 'calc-new-month)
533 (define-key calc-mode-map "tN" 'calc-now)
534 (define-key calc-mode-map "tP" 'calc-date-part)
535 (define-key calc-mode-map "tT" 'calc-tan)
536 (define-key calc-mode-map "tU" 'calc-unix-time)
537 (define-key calc-mode-map "tW" 'calc-new-week)
538 (define-key calc-mode-map "tY" 'calc-new-year)
539 (define-key calc-mode-map "tZ" 'calc-time-zone)
540 (define-key calc-mode-map "t+" 'calc-business-days-plus)
541 (define-key calc-mode-map "t-" 'calc-business-days-minus)
543 (define-key calc-mode-map "u" 'nil)
544 (define-key calc-mode-map "u?" 'calc-u-prefix-help)
545 (define-key calc-mode-map "ua" 'calc-autorange-units)
546 (define-key calc-mode-map "ub" 'calc-base-units)
547 (define-key calc-mode-map "uc" 'calc-convert-units)
548 (define-key calc-mode-map "ud" 'calc-define-unit)
549 (define-key calc-mode-map "ue" 'calc-explain-units)
550 (define-key calc-mode-map "ug" 'calc-get-unit-definition)
551 (define-key calc-mode-map "up" 'calc-permanent-units)
552 (define-key calc-mode-map "ur" 'calc-remove-units)
553 (define-key calc-mode-map "us" 'calc-simplify-units)
554 (define-key calc-mode-map "ut" 'calc-convert-temperature)
555 (define-key calc-mode-map "uu" 'calc-undefine-unit)
556 (define-key calc-mode-map "uv" 'calc-enter-units-table)
557 (define-key calc-mode-map "ux" 'calc-extract-units)
558 (define-key calc-mode-map "uV" 'calc-view-units-table)
559 (define-key calc-mode-map "uC" 'calc-vector-covariance)
560 (define-key calc-mode-map "uG" 'calc-vector-geometric-mean)
561 (define-key calc-mode-map "uM" 'calc-vector-mean)
562 (define-key calc-mode-map "uN" 'calc-vector-min)
563 (define-key calc-mode-map "uS" 'calc-vector-sdev)
564 (define-key calc-mode-map "uU" 'calc-undo)
565 (define-key calc-mode-map "uX" 'calc-vector-max)
566 (define-key calc-mode-map "u#" 'calc-vector-count)
567 (define-key calc-mode-map "u+" 'calc-vector-sum)
568 (define-key calc-mode-map "u*" 'calc-vector-product)
570 (define-key calc-mode-map "v" 'nil)
571 (define-key calc-mode-map "v?" 'calc-v-prefix-help)
572 (define-key calc-mode-map "va" 'calc-arrange-vector)
573 (define-key calc-mode-map "vb" 'calc-build-vector)
574 (define-key calc-mode-map "vc" 'calc-mcol)
575 (define-key calc-mode-map "vd" 'calc-diag)
576 (define-key calc-mode-map "ve" 'calc-expand-vector)
577 (define-key calc-mode-map "vf" 'calc-vector-find)
578 (define-key calc-mode-map "vh" 'calc-head)
579 (define-key calc-mode-map "vi" 'calc-ident)
580 (define-key calc-mode-map "vk" 'calc-cons)
581 (define-key calc-mode-map "vl" 'calc-vlength)
582 (define-key calc-mode-map "vm" 'calc-mask-vector)
583 (define-key calc-mode-map "vn" 'calc-rnorm)
584 (define-key calc-mode-map "vp" 'calc-pack)
585 (define-key calc-mode-map "vr" 'calc-mrow)
586 (define-key calc-mode-map "vs" 'calc-subvector)
587 (define-key calc-mode-map "vt" 'calc-transpose)
588 (define-key calc-mode-map "vu" 'calc-unpack)
589 (define-key calc-mode-map "vv" 'calc-reverse-vector)
590 (define-key calc-mode-map "vx" 'calc-index)
591 (define-key calc-mode-map "vA" 'calc-apply)
592 (define-key calc-mode-map "vC" 'calc-cross)
593 (define-key calc-mode-map "vK" 'calc-kron)
594 (define-key calc-mode-map "vD" 'calc-mdet)
595 (define-key calc-mode-map "vE" 'calc-set-enumerate)
596 (define-key calc-mode-map "vF" 'calc-set-floor)
597 (define-key calc-mode-map "vG" 'calc-grade)
598 (define-key calc-mode-map "vH" 'calc-histogram)
599 (define-key calc-mode-map "vI" 'calc-inner-product)
600 (define-key calc-mode-map "vJ" 'calc-conj-transpose)
601 (define-key calc-mode-map "vL" 'calc-mlud)
602 (define-key calc-mode-map "vM" 'calc-map)
603 (define-key calc-mode-map "vN" 'calc-cnorm)
604 (define-key calc-mode-map "vO" 'calc-outer-product)
605 (define-key calc-mode-map "vR" 'calc-reduce)
606 (define-key calc-mode-map "vS" 'calc-sort)
607 (define-key calc-mode-map "vT" 'calc-mtrace)
608 (define-key calc-mode-map "vU" 'calc-accumulate)
609 (define-key calc-mode-map "vV" 'calc-set-union)
610 (define-key calc-mode-map "vX" 'calc-set-xor)
611 (define-key calc-mode-map "v^" 'calc-set-intersect)
612 (define-key calc-mode-map "v-" 'calc-set-difference)
613 (define-key calc-mode-map "v~" 'calc-set-complement)
614 (define-key calc-mode-map "v:" 'calc-set-span)
615 (define-key calc-mode-map "v#" 'calc-set-cardinality)
616 (define-key calc-mode-map "v+" 'calc-remove-duplicates)
617 (define-key calc-mode-map "v&" 'calc-inv)
618 (define-key calc-mode-map "v<" 'calc-matrix-left-justify)
619 (define-key calc-mode-map "v=" 'calc-matrix-center-justify)
620 (define-key calc-mode-map "v>" 'calc-matrix-right-justify)
621 (define-key calc-mode-map "v." 'calc-full-vectors)
622 (define-key calc-mode-map "v/" 'calc-break-vectors)
623 (define-key calc-mode-map "v," 'calc-vector-commas)
624 (define-key calc-mode-map "v[" 'calc-vector-brackets)
625 (define-key calc-mode-map "v]" 'calc-matrix-brackets)
626 (define-key calc-mode-map "v{" 'calc-vector-braces)
627 (define-key calc-mode-map "v}" 'calc-matrix-brackets)
628 (define-key calc-mode-map "v(" 'calc-vector-parens)
629 (define-key calc-mode-map "v)" 'calc-matrix-brackets)
630 ;; We can't rely on the automatic upper->lower conversion because
631 ;; in the global map V is explicitly bound, so we need to bind it
632 ;; explicitly as well :-( --stef
633 (define-key calc-mode-map "V" (lookup-key calc-mode-map "v"))
635 (define-key calc-mode-map "z" 'nil)
636 (define-key calc-mode-map "z?" 'calc-z-prefix-help)
638 (define-key calc-mode-map "Z" 'nil)
639 (define-key calc-mode-map "Z?" 'calc-shift-Z-prefix-help)
640 (define-key calc-mode-map "ZC" 'calc-user-define-composition)
641 (define-key calc-mode-map "ZD" 'calc-user-define)
642 (define-key calc-mode-map "ZE" 'calc-user-define-edit)
643 (define-key calc-mode-map "ZF" 'calc-user-define-formula)
644 (define-key calc-mode-map "ZG" 'calc-get-user-defn)
645 (define-key calc-mode-map "ZI" 'calc-user-define-invocation)
646 (define-key calc-mode-map "ZK" 'calc-user-define-kbd-macro)
647 (define-key calc-mode-map "ZP" 'calc-user-define-permanent)
648 (define-key calc-mode-map "ZS" 'calc-edit-user-syntax)
649 (define-key calc-mode-map "ZT" 'calc-timing)
650 (define-key calc-mode-map "ZU" 'calc-user-undefine)
651 (define-key calc-mode-map "Z[" 'calc-kbd-if)
652 (define-key calc-mode-map "Z:" 'calc-kbd-else)
653 (define-key calc-mode-map "Z|" 'calc-kbd-else-if)
654 (define-key calc-mode-map "Z]" 'calc-kbd-end-if)
655 (define-key calc-mode-map "Z<" 'calc-kbd-repeat)
656 (define-key calc-mode-map "Z>" 'calc-kbd-end-repeat)
657 (define-key calc-mode-map "Z(" 'calc-kbd-for)
658 (define-key calc-mode-map "Z)" 'calc-kbd-end-for)
659 (define-key calc-mode-map "Z{" 'calc-kbd-loop)
660 (define-key calc-mode-map "Z}" 'calc-kbd-end-loop)
661 (define-key calc-mode-map "Z/" 'calc-kbd-break)
662 (define-key calc-mode-map "Z`" 'calc-kbd-push)
663 (define-key calc-mode-map "Z'" 'calc-kbd-pop)
664 (define-key calc-mode-map "Z=" 'calc-kbd-report)
665 (define-key calc-mode-map "Z#" 'calc-kbd-query)
671 (define-key calc-mode-map (format "c%c" x) 'calc-clean-num)
672 (define-key calc-mode-map (format "j%c" x) 'calc-select-part)
673 (define-key calc-mode-map (format "r%c" x) 'calc-recall-quick)
674 (define-key calc-mode-map (format "s%c" x) 'calc-store-quick)
675 (define-key calc-mode-map (format "t%c" x) 'calc-store-into-quick)
676 (define-key calc-mode-map (format "u%c" x) 'calc-quick-units)))
681 (if (eq (car-safe (aref (nth 1 calc-mode-map) i)) 'keymap)
682 (aset (nth 1 calc-mode-map) i
683 (cons 'keymap (cons (cons ?\e (aref (nth 1 calc-mode-map) i))
684 (cdr (aref (nth 1 calc-mode-map) i))))))
687 (setq calc-alg-map (copy-keymap calc-mode-map)
688 calc-alg-esc-map (copy-keymap esc-map))
691 (or (memq i '(?' ?` ?= ??))
692 (aset (nth 1 calc-alg-map) i 'calc-auto-algebraic-entry))
693 (or (memq i '(?# ?x ?0 ?1 ?2 ?3 ?4 ?5 ?6 ?7 ?8 ?9))
694 (aset (nth 1 calc-alg-esc-map) i (aref (nth 1 calc-mode-map) i)))
696 (define-key calc-alg-map "\e" calc-alg-esc-map)
697 (define-key calc-alg-map "\e\t" 'calc-roll-up)
698 (define-key calc-alg-map "\e\C-m" 'calc-last-args-stub)
699 (define-key calc-alg-map "\e\177" 'calc-pop-above)
701 ;;;; (Autoloads here)
702 (mapc (function (lambda (x)
703 (mapcar (function (lambda (func)
704 (autoload func (car x)))) (cdr x))))
707 ("calc-alg" calc-has-rules math-defsimplify
708 calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
709 calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
710 calcFunc-simplify calcFunc-subst calcFunc-powerexpand math-beforep
711 math-build-polynomial-expr math-expand-formula math-expr-contains
712 math-expr-contains-count math-expr-depends math-expr-height
713 math-expr-subst math-expr-weight math-integer-plus math-is-linear
714 math-is-multiple math-is-polynomial math-linear-in math-multiple-of
715 math-poly-depends math-poly-mix math-poly-mul
716 math-poly-simplify math-poly-zerop math-polynomial-base
717 math-polynomial-p math-recompile-eval-rules math-simplify
718 math-simplify-exp math-simplify-extended math-simplify-sqrt
719 math-to-simple-fraction)
721 ("calcalg2" calcFunc-asum calcFunc-deriv
722 calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly
723 calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots
724 calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor
725 calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12
726 math-integral-rational-funcs math-lcm-denoms math-looks-evenp
727 math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn
728 math-solve-for math-sum-rec math-try-integral)
730 ("calcalg3" calcFunc-efit calcFunc-fit
731 calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar
732 calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize
733 calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint
734 calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot
735 calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate
736 math-ninteg-midpoint math-ninteg-romberg math-poly-interp)
738 ("calc-arith" calcFunc-abs calcFunc-abssqr
739 calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag
740 calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg
741 calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd
742 calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
743 calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
744 calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
745 calcFunc-idiv calcFunc-incr calcFunc-ldiv calcFunc-mant calcFunc-max calcFunc-min
746 calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
747 calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
748 calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
749 math-add-objects-fancy math-add-or-sub math-add-symb-fancy
750 math-ceiling math-combine-prod math-combine-sum math-div-by-zero
751 math-div-objects-fancy math-div-symb-fancy math-div-zero
752 math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg
753 math-intv-constp math-known-evenp math-known-imagp math-known-integerp
754 math-known-matrixp math-known-negp math-known-nonnegp
755 math-known-nonposp math-known-nonzerop math-known-num-integerp
756 math-known-oddp math-known-posp math-known-realp math-known-scalarp
757 math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy
758 math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy
759 math-neg-float math-okay-neg math-possible-signs math-possible-types
760 math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero
761 math-quarter-integer math-round math-setup-declarations math-sqr
762 math-sqr-float math-trunc-fancy math-trunc-special)
764 ("calc-bin" calcFunc-and calcFunc-ash
765 calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or
766 calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip
767 math-compute-max-digits math-convert-radix-digits math-float-parts
768 math-format-bignum-binary math-format-bignum-hex
769 math-format-bignum-octal math-format-bignum-radix math-format-binary
770 math-format-radix math-format-radix-float math-integer-log2
771 math-power-of-2 math-radix-float-power)
773 ("calc-comb" calc-report-prime-test
774 calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact
775 calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime
776 calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime
777 calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2
778 calcFunc-totient math-init-random-base math-member math-prime-test
781 ("calccomp" calcFunc-cascent calcFunc-cdescent
782 calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent
783 math-comp-height math-comp-width math-compose-expr
784 math-composition-to-string math-stack-value-offset-fancy
785 math-vector-is-string math-vector-to-string)
787 ("calc-cplx" calcFunc-arg calcFunc-conj
788 calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex
789 math-fix-circular math-imaginary math-imaginary-i math-normalize-polar
790 math-polar math-want-polar)
792 ("calc-embed" calc-do-embedded
793 calc-do-embedded-activate calc-embedded-evaluate-expr
794 calc-embedded-modes-change calc-embedded-var-change
795 calc-embedded-preserve-modes)
797 ("calc-fin" calc-to-percentage calcFunc-ddb
798 calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb
799 calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb
800 calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl
801 calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd)
803 ("calc-forms" calcFunc-badd calcFunc-bsub
804 calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms
805 calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear
806 calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute
807 calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear
808 calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second
809 calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime
810 calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals
811 math-date-parts math-date-to-dt math-div-mod math-dt-to-date
812 math-format-date math-from-business-day math-from-hms math-make-intv
813 math-make-mod math-make-sdev math-mod-intv math-normalize-hms
814 math-normalize-mod math-parse-date math-read-angle-brackets
815 math-setup-add-holidays math-setup-holidays math-setup-year-holidays
816 math-sort-intv math-to-business-day math-to-hms)
818 ("calc-frac" calc-add-fractions
819 calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac
822 ("calc-funcs" calc-prob-dist calcFunc-bern
823 calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB
824 calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler
825 calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ
826 calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf
827 calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc
828 calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt
829 math-bernoulli-number math-gammap1-raw)
831 ("calc-graph" calc-graph-show-tty)
833 ("calc-incom" calc-digit-dots)
835 ("calc-keypd" calc-do-keypad
836 calc-keypad-x-left-click calc-keypad-x-middle-click
837 calc-keypad-x-right-click)
839 ("calc-lang" calc-set-language
840 math-read-big-balance math-read-big-rec)
842 ("calc-map" calc-get-operator calcFunc-accum
843 calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call
844 calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc
845 calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr
846 calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum
847 calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced
848 calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec
849 calcFunc-rreduced calcFunc-rreducer math-build-call
850 math-calcFunc-to-var math-multi-subst math-multi-subst-rec
851 math-var-to-calcFunc)
853 ("calc-mtx" calcFunc-det calcFunc-lud calcFunc-tr
854 math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud
855 math-mul-mat-vec math-mul-mats math-row-matrix)
857 ("calc-math" calcFunc-alog calcFunc-arccos
858 calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh
859 calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-csc
860 calcFunc-csch calcFunc-cos calcFunc-cosh calcFunc-cot calcFunc-coth
861 calcFunc-deg calcFunc-exp calcFunc-exp10 calcFunc-expm1
862 calcFunc-hypot calcFunc-ilog calcFunc-isqrt calcFunc-ln calcFunc-lnp1
863 calcFunc-log calcFunc-log10 calcFunc-nroot calcFunc-rad calcFunc-sec
864 calcFunc-sech calcFunc-sin
865 calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan
866 calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw
867 math-arctan2-raw math-cos-raw math-cot-raw math-csc-raw
868 math-exp-minus-1-raw math-exp-raw
869 math-from-radians math-from-radians-2 math-hypot math-infinite-dir
870 math-isqrt-small math-ln-raw math-nearly-equal math-nearly-equal-float
871 math-nearly-zerop math-nearly-zerop-float math-nth-root
872 math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw
873 math-tan-raw math-to-radians math-to-radians-2)
875 ("calc-mode" math-get-modes-vec)
877 ("calc-poly" calcFunc-apart calcFunc-expand
878 calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat
879 calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide
880 calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim
881 calcFunc-prem math-accum-factors math-atomic-factorp
882 math-div-poly-const math-div-thru math-expand-power math-expand-term
883 math-factor-contains math-factor-expr math-factor-expr-part
884 math-factor-expr-try math-factor-finish math-factor-poly-coefs
885 math-factor-protect math-mul-thru math-padded-polynomial
886 math-partial-fractions math-poly-degree math-poly-deriv-coefs
887 math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p
888 math-to-ratpoly math-to-ratpoly-rec)
890 ("calc-prog" calc-default-formula-arglist
891 calc-execute-kbd-macro calc-finish-user-syntax-edit
892 calc-fix-token-name calc-fix-user-formula calc-read-parse-table
893 calc-read-parse-table-part calc-subsetp calc-write-parse-table
894 calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq
895 calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue
896 calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt
897 calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real
898 calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable
899 math-body-refers-to math-break math-composite-inequalities
900 math-do-defmath math-handle-for math-handle-foreach
901 math-normalize-logical-op math-return)
903 ("calc-rewr" calcFunc-match calcFunc-matches
904 calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches
905 math-apply-rewrites math-compile-patterns math-compile-rewrites
906 math-flatten-lands math-match-patterns math-rewrite
909 ("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules
910 calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules
911 calc-MergeRules calc-NegateRules
912 calc-compile-rule-set)
914 ("calc-sel" calc-auto-selection
915 calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula
916 calc-find-parent-formula calc-find-sub-formula calc-prepare-selection
917 calc-preserve-point calc-replace-selections calc-replace-sub-formula
918 calc-roll-down-with-selections calc-roll-up-with-selections
921 ("calc-stat" calc-vector-op calcFunc-agmean
922 calcFunc-vcorr calcFunc-vcount calcFunc-vcov calcFunc-vflat
923 calcFunc-vgmean calcFunc-vhmean calcFunc-vmax calcFunc-vmean
924 calcFunc-vmeane calcFunc-vmedian calcFunc-vmin calcFunc-vpcov
925 calcFunc-vprod calcFunc-vpsdev calcFunc-vpvar calcFunc-vsdev
926 calcFunc-vsum calcFunc-vvar math-flatten-many-vecs)
928 ("calc-store" calc-read-var-name
929 calc-store-value calc-var-name)
931 ("calc-stuff" calc-explain-why calcFunc-clean
932 calcFunc-pclean calcFunc-pfloat calcFunc-pfrac)
934 ("calc-units" calcFunc-usimplify
935 math-build-units-table math-build-units-table-buffer
936 math-check-unit-name math-convert-temperature math-convert-units
937 math-extract-units math-remove-units math-simplify-units
938 math-single-units-in-expr-p math-to-standard-units
939 math-units-in-expr-p)
941 ("calc-vec" calcFunc-append calcFunc-appendrev
942 calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross
943 calcFunc-kron calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find
944 calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram
945 calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims
946 calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack
947 calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade
948 calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec
949 calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec
950 calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt
951 calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev
952 calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp
953 calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask
954 calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack
955 calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix
956 math-dimension-error math-dot-product math-flatten-vector math-map-vec
957 math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set
958 math-read-brackets math-reduce-cols math-reduce-vec math-transpose)
960 ("calc-yank" calc-alg-edit calc-clean-newlines
961 calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit
962 calc-copy-to-register calc-insert-register
963 calc-append-to-register calc-prepend-to-register
964 calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer)
968 (mapcar (function (lambda (x)
969 (mapcar (function (lambda (cmd)
970 (autoload cmd (car x) nil t))) (cdr x))))
973 ("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
974 calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
975 calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
976 calc-simplify-extended calc-substitute calc-powerexpand)
978 ("calcalg2" calc-alt-summation calc-derivative
979 calc-dump-integral-cache calc-integral calc-num-integral
980 calc-poly-roots calc-product calc-solve-for calc-summation
981 calc-tabulate calc-taylor)
983 ("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum
984 calc-find-root calc-poly-interp)
986 ("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement
987 calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min
988 calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part)
990 ("calc-bin" calc-and calc-binary-radix calc-clip calc-decimal-radix
991 calc-diff calc-hex-radix calc-leading-zeros calc-lshift-arith
992 calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix
993 calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size
996 ("calc-comb" calc-choose calc-double-factorial calc-extended-gcd
997 calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius
998 calc-next-prime calc-perm calc-prev-prime calc-prime-factors
999 calc-prime-test calc-random calc-random-again calc-rrandom
1000 calc-shuffle calc-totient)
1002 ("calc-cplx" calc-argument calc-complex-notation calc-i-notation
1003 calc-im calc-j-notation calc-polar calc-polar-mode calc-re)
1005 ("calc-embed" calc-embedded-copy-formula-as-kill
1006 calc-embedded-duplicate calc-embedded-edit calc-embedded-forget
1007 calc-embedded-kill-formula calc-embedded-mark-formula
1008 calc-embedded-new-formula calc-embedded-next calc-embedded-previous
1009 calc-embedded-select calc-embedded-update-formula calc-embedded-word
1010 calc-find-globals calc-show-plain)
1012 ("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv
1013 calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv
1014 calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change)
1016 ("calc-forms" calc-business-days-minus calc-business-days-plus
1017 calc-convert-time-zones calc-date calc-date-notation calc-date-part
1018 calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month
1019 calc-julian calc-new-month calc-new-week calc-new-year calc-now
1020 calc-time calc-time-zone calc-to-hms calc-unix-time)
1022 ("calc-frac" calc-fdiv calc-frac-mode calc-fraction
1023 calc-over-notation calc-slash-notation)
1025 ("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y
1026 calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta
1027 calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf
1028 calc-utpn calc-utpp calc-utpt)
1030 ("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border
1031 calc-graph-clear calc-graph-command calc-graph-delete
1032 calc-graph-device calc-graph-display calc-graph-fast
1033 calc-graph-fast-3d calc-graph-geometry calc-graph-grid
1034 calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key
1035 calc-graph-kill calc-graph-line-style calc-graph-log-x
1036 calc-graph-log-y calc-graph-log-z calc-graph-name
1037 calc-graph-num-points calc-graph-output calc-graph-plot
1038 calc-graph-point-style calc-graph-print calc-graph-quit
1039 calc-graph-range-x calc-graph-range-y calc-graph-range-z
1040 calc-graph-show-dumb calc-graph-title-x calc-graph-title-y
1041 calc-graph-title-z calc-graph-view-commands calc-graph-view-trail
1042 calc-graph-zero-x calc-graph-zero-y)
1044 ("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help
1045 calc-d-prefix-help calc-describe-function calc-describe-key
1046 calc-describe-key-briefly calc-describe-variable calc-f-prefix-help
1047 calc-full-help calc-g-prefix-help calc-help-prefix
1048 calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help
1049 calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help
1050 calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help
1051 calc-t-prefix-help calc-u-prefix-help calc-v-prefix-help)
1053 ("calc-incom" calc-begin-complex calc-begin-vector calc-comma
1054 calc-dots calc-end-complex calc-end-vector calc-semi)
1056 ("calc-keypd" calc-keypad-menu calc-keypad-menu-back
1059 ("calc-lang" calc-big-language calc-c-language calc-eqn-language
1060 calc-flat-language calc-fortran-language calc-maple-language
1061 calc-yacas-language calc-maxima-language calc-giac-language
1062 calc-mathematica-language calc-normal-language calc-pascal-language
1063 calc-tex-language calc-latex-language calc-unformatted-language)
1065 ("calc-map" calc-accumulate calc-apply calc-inner-product calc-map
1066 calc-map-equation calc-map-stack calc-outer-product calc-reduce)
1068 ("calc-mtx" calc-mdet calc-mlud calc-mtrace)
1070 ("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh
1071 calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh
1072 calc-cot calc-coth calc-csc calc-csch
1073 calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog
1074 calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10
1075 calc-pi calc-radians-mode calc-sec calc-sech
1076 calc-sin calc-sincos calc-sinh calc-sqrt
1077 calc-tan calc-tanh calc-to-degrees calc-to-radians)
1079 ("calc-mode" calc-alg-simplify-mode calc-algebraic-mode
1080 calc-always-load-extensions calc-auto-recompute calc-auto-why
1081 calc-bin-simplify-mode calc-break-vectors calc-center-justify
1082 calc-default-simplify-mode calc-display-raw calc-eng-notation
1083 calc-ext-simplify-mode calc-fix-notation calc-full-trail-vectors
1084 calc-full-vectors calc-get-modes calc-group-char calc-group-digits
1085 calc-infinite-mode calc-left-justify calc-left-label
1086 calc-line-breaking calc-line-numbering calc-matrix-brackets
1087 calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode
1088 calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode
1089 calc-normal-notation calc-num-simplify-mode calc-point-char
1090 calc-right-justify calc-right-label calc-save-modes calc-sci-notation
1091 calc-settings-file-name calc-shift-prefix calc-symbolic-mode
1092 calc-total-algebraic-mode calc-truncate-down calc-truncate-stack
1093 calc-truncate-up calc-units-simplify-mode calc-vector-braces
1094 calc-vector-brackets calc-vector-commas calc-vector-parens
1097 ("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax
1098 calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
1099 calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if
1100 calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat
1101 calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push
1102 calc-kbd-query calc-kbd-repeat calc-kbd-report calc-less-equal
1103 calc-less-than calc-logical-and calc-logical-if calc-logical-not
1104 calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal
1105 calc-timing calc-user-define calc-user-define-composition
1106 calc-user-define-edit calc-user-define-formula
1107 calc-user-define-invocation calc-user-define-kbd-macro
1108 calc-user-define-permanent calc-user-undefine)
1110 ("calc-rewr" calc-match calc-rewrite calc-rewrite-selection)
1112 ("calc-sel" calc-break-selections calc-clear-selections
1113 calc-copy-selection calc-del-selection calc-edit-selection
1114 calc-enable-selections calc-enter-selection calc-sel-add-both-sides
1115 calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula
1116 calc-sel-mult-both-sides calc-sel-sub-both-sides
1117 calc-select-additional calc-select-here calc-select-here-maybe
1118 calc-select-less calc-select-more calc-select-next calc-select-once
1119 calc-select-once-maybe calc-select-part calc-select-previous
1120 calc-show-selections calc-unselect)
1122 ("calcsel2" calc-commute-left calc-commute-right calc-sel-commute
1123 calc-sel-distribute calc-sel-invert calc-sel-isolate
1124 calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack)
1126 ("calc-stat" calc-vector-correlation calc-vector-count
1127 calc-vector-covariance calc-vector-geometric-mean
1128 calc-vector-harmonic-mean calc-vector-max calc-vector-mean
1129 calc-vector-mean-error calc-vector-median calc-vector-min
1130 calc-vector-pop-covariance calc-vector-pop-sdev
1131 calc-vector-pop-variance calc-vector-product calc-vector-sdev
1132 calc-vector-sum calc-vector-variance)
1134 ("calc-store" calc-assign calc-copy-special-constant
1135 calc-copy-variable calc-declare-variable
1136 calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules
1137 calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount
1138 calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles
1139 calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone
1140 calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables
1141 calc-let calc-permanent-variable calc-recall calc-recall-quick
1142 calc-store calc-store-concat calc-store-decr calc-store-div
1143 calc-store-exchange calc-store-incr calc-store-into
1144 calc-store-into-quick calc-store-inv calc-store-map calc-store-minus
1145 calc-store-neg calc-store-plus calc-store-power calc-store-quick
1146 calc-store-times calc-subscript calc-unstore)
1148 ("calc-stuff" calc-clean calc-clean-num calc-flush-caches
1149 calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix
1152 ("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward
1153 calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward
1154 calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next
1155 calc-trail-out calc-trail-previous calc-trail-scroll-left
1156 calc-trail-scroll-right calc-trail-yank)
1158 ("calc-undo" calc-last-args calc-redo calc-undo)
1160 ("calc-units" calc-autorange-units calc-base-units
1161 calc-convert-temperature calc-convert-units calc-define-unit
1162 calc-enter-units-table calc-explain-units calc-extract-units
1163 calc-get-unit-definition calc-permanent-units calc-quick-units
1164 calc-remove-units calc-simplify-units calc-undefine-unit
1165 calc-view-units-table)
1167 ("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm
1168 calc-conj-transpose calc-cons calc-cross calc-kron calc-diag
1169 calc-display-strings calc-expand-vector calc-grade calc-head
1170 calc-histogram calc-ident calc-index calc-mask-vector calc-mcol
1171 calc-mrow calc-pack calc-pack-bits calc-remove-duplicates
1172 calc-reverse-vector calc-rnorm calc-set-cardinality
1173 calc-set-complement calc-set-difference calc-set-enumerate
1174 calc-set-floor calc-set-intersect calc-set-span calc-set-union
1175 calc-set-xor calc-sort calc-subvector calc-tail calc-transpose
1176 calc-unpack calc-unpack-bits calc-vector-find calc-vlength)
1178 ("calc-yank" calc-copy-as-kill calc-copy-region-as-kill
1179 calc-copy-to-buffer calc-edit calc-edit-cancel calc-edit-mode
1180 calc-kill calc-kill-region calc-yank))))
1182 (defun calc-init-prefixes ()
1183 (if calc-shift-prefix
1185 (define-key calc-mode-map "A" (lookup-key calc-mode-map "a"))
1186 (define-key calc-mode-map "B" (lookup-key calc-mode-map "b"))
1187 (define-key calc-mode-map "C" (lookup-key calc-mode-map "c"))
1188 (define-key calc-mode-map "D" (lookup-key calc-mode-map "d"))
1189 (define-key calc-mode-map "F" (lookup-key calc-mode-map "f"))
1190 (define-key calc-mode-map "G" (lookup-key calc-mode-map "g"))
1191 (define-key calc-mode-map "J" (lookup-key calc-mode-map "j"))
1192 (define-key calc-mode-map "K" (lookup-key calc-mode-map "k"))
1193 (define-key calc-mode-map "M" (lookup-key calc-mode-map "m"))
1194 (define-key calc-mode-map "S" (lookup-key calc-mode-map "s"))
1195 (define-key calc-mode-map "T" (lookup-key calc-mode-map "t"))
1196 (define-key calc-mode-map "U" (lookup-key calc-mode-map "u")))
1197 (define-key calc-mode-map "A" 'calc-abs)
1198 (define-key calc-mode-map "B" 'calc-log)
1199 (define-key calc-mode-map "C" 'calc-cos)
1200 (define-key calc-mode-map "D" 'calc-redo)
1201 (define-key calc-mode-map "F" 'calc-floor)
1202 (define-key calc-mode-map "G" 'calc-argument)
1203 (define-key calc-mode-map "J" 'calc-conj)
1204 (define-key calc-mode-map "K" 'calc-keep-args)
1205 (define-key calc-mode-map "M" 'calc-more-recursion-depth)
1206 (define-key calc-mode-map "S" 'calc-sin)
1207 (define-key calc-mode-map "T" 'calc-tan)
1208 (define-key calc-mode-map "U" 'calc-undo)))
1210 (calc-init-extensions)
1217 ;; calc-command-flags is declared in calc.el
1218 (defvar calc-command-flags)
1220 (defun calc-clear-command-flag (f)
1221 (setq calc-command-flags (delq f calc-command-flags)))
1224 (defun calc-record-message (tag &rest args)
1225 (let ((msg (apply 'format args)))
1227 (calc-record msg tag))
1228 (calc-clear-command-flag 'clear-message))
1231 (defun calc-normalize-fancy (val)
1232 (let ((simp (if (consp calc-simplify-mode)
1233 (car calc-simplify-mode)
1234 calc-simplify-mode)))
1235 (cond ((eq simp 'binary)
1236 (let ((s (math-normalize val)))
1238 (math-clip (math-round s))
1241 (math-simplify val))
1243 (math-simplify-extended val))
1245 (math-simplify-units val))
1247 (math-normalize val)))))
1250 (defvar calc-help-map nil)
1254 (setq calc-help-map (make-keymap))
1255 (define-key calc-help-map "b" 'calc-describe-bindings)
1256 (define-key calc-help-map "c" 'calc-describe-key-briefly)
1257 (define-key calc-help-map "f" 'calc-describe-function)
1258 (define-key calc-help-map "h" 'calc-full-help)
1259 (define-key calc-help-map "i" 'calc-info)
1260 (define-key calc-help-map "k" 'calc-describe-key)
1261 (define-key calc-help-map "n" 'calc-view-news)
1262 (define-key calc-help-map "s" 'calc-info-summary)
1263 (define-key calc-help-map "t" 'calc-tutorial)
1264 (define-key calc-help-map "v" 'calc-describe-variable)
1265 (define-key calc-help-map "\C-c" 'calc-describe-copying)
1266 (define-key calc-help-map "\C-d" 'calc-describe-distribution)
1267 (define-key calc-help-map "\C-n" 'calc-view-news)
1268 (define-key calc-help-map "\C-w" 'calc-describe-no-warranty)
1269 (define-key calc-help-map "?" 'calc-help-for-help)
1270 (define-key calc-help-map "\C-h" 'calc-help-for-help))
1272 (defvar calc-prefix-help-phase 0)
1273 (defun calc-do-prefix-help (msgs group key)
1274 (if calc-full-help-flag
1275 (list msgs group key)
1278 (setq calc-prefix-help-phase
1279 (if (eq this-command last-command)
1280 (% (1+ calc-prefix-help-phase) (1+ (length msgs)))
1282 (let ((msg (nth calc-prefix-help-phase msgs)))
1283 (message "%s" (if msg
1284 (concat group ": " msg ":"
1286 (- (apply 'max (mapcar 'length msgs))
1290 (concat " " (char-to-string key)
1293 (if key (format "%c-" key) "")))))
1294 (setq calc-prefix-help-phase 0)
1297 (message "%s: %s: %c-" group (car msgs) key)
1298 (message "%s: (none) %c-" group key))
1299 (message "%s: %s" group (car msgs))))
1300 (and key (calc-unread-command key))))
1307 (defun calc-reset (arg)
1309 (setq arg (if arg (prefix-numeric-value arg) nil))
1313 (equal (aref calc-embedded-info 0) (current-buffer))
1314 (<= (point) (aref calc-embedded-info 5))
1315 (>= (point) (aref calc-embedded-info 4)))
1316 (let ((cbuf (aref calc-embedded-info 1))
1317 (calc-embedded-quiet t))
1318 (save-window-excursion
1322 (calc-embedded nil)))
1323 ((eq major-mode 'calc-mode)
1325 (unless (and arg (> (abs arg) 0))
1326 (setq calc-stack nil))
1327 (setq calc-undo-list nil
1329 (let (calc-stack calc-user-parse-tables calc-standard-date-formats
1330 calc-invocation-macro)
1331 (mapc (function (lambda (v) (set v nil))) calc-local-var-list)
1332 (if (and arg (<= arg 0))
1333 (calc-mode-var-list-restore-default-values)
1334 (calc-mode-var-list-restore-saved-values)))
1335 (calc-set-language nil nil t)
1337 (calc-flush-caches t)
1338 (run-hooks 'calc-reset-hook))
1340 (let ((win (get-buffer-window (current-buffer))))
1342 ;; Adjust the window height if the window is visible, but doesn't
1343 ;; take up the whole height of the frame.
1346 (< (window-height win) (1- (frame-height))))
1347 (let ((height (- (window-height win) 2)))
1348 (set-window-point win (point))
1349 (or (= height calc-window-height)
1350 (let ((swin (selected-window)))
1352 (enlarge-window (- calc-window-height height))
1353 (select-window swin)))))))
1354 (message "(Calculator reset)"))
1356 (message "(Not inside a Calc buffer)"))))
1358 ;; What a pain; scroll-left behaves differently when called non-interactively.
1359 (defun calc-scroll-left (n)
1361 (setq prefix-arg (or n (/ (window-width) 2)))
1362 (call-interactively #'scroll-left))
1364 (defun calc-scroll-right (n)
1366 (setq prefix-arg (or n (/ (window-width) 2)))
1367 (call-interactively #'scroll-right))
1369 (defun calc-scroll-up (n)
1372 (scroll-up (or n (/ (window-height) 2)))
1374 (if (pos-visible-in-window-p (max 1 (- (point-max) 2)))
1375 (if (eq major-mode 'calc-mode)
1377 (goto-char (point-max))
1378 (set-window-start (selected-window)
1380 (forward-line (- (1- (window-height))))
1382 (forward-line -1))))
1384 (defun calc-scroll-down (n)
1386 (or (pos-visible-in-window-p 1)
1387 (scroll-down (or n (/ (window-height) 2)))))
1390 (defun calc-precision (n)
1391 (interactive "NPrecision: ")
1393 (if (< (prefix-numeric-value n) 3)
1394 (error "Precision must be at least 3 digits")
1395 (calc-change-mode 'calc-internal-prec (prefix-numeric-value n)
1396 (and (memq (car calc-float-format) '(float sci eng))
1397 (< (nth 1 calc-float-format)
1398 (if (= calc-number-radix 10) 0 1))))
1399 (calc-record calc-internal-prec "prec"))
1400 (message "Floating-point precision is %d digits" calc-internal-prec)))
1403 (defun calc-inverse (&optional n)
1405 (let* ((hyp-flag (if (or
1406 (eq major-mode 'calc-keypad-mode)
1407 (eq major-mode 'calc-trail-mode))
1408 (with-current-buffer calc-main-buffer
1409 calc-hyperbolic-flag)
1410 calc-hyperbolic-flag))
1412 "Inverse Hyperbolic..."
1414 (calc-fancy-prefix 'calc-inverse-flag msg n)))
1416 (defconst calc-fancy-prefix-map
1417 (let ((map (make-sparse-keymap)))
1418 (define-key map [t] 'calc-fancy-prefix-other-key)
1419 (define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key)
1420 (define-key map [switch-frame] nil)
1421 (define-key map [?\C-u] 'universal-argument)
1422 (define-key map [?0] 'digit-argument)
1423 (define-key map [?1] 'digit-argument)
1424 (define-key map [?2] 'digit-argument)
1425 (define-key map [?3] 'digit-argument)
1426 (define-key map [?4] 'digit-argument)
1427 (define-key map [?5] 'digit-argument)
1428 (define-key map [?6] 'digit-argument)
1429 (define-key map [?7] 'digit-argument)
1430 (define-key map [?8] 'digit-argument)
1431 (define-key map [?9] 'digit-argument)
1433 "Keymap used while processing calc-fancy-prefix.")
1435 (defvar calc-is-keypad-press nil)
1436 (defun calc-fancy-prefix (flag msg n)
1439 (calc-set-command-flag 'keep-flags)
1440 (calc-set-command-flag 'no-align)
1441 (setq prefix (set flag (not (symbol-value flag)))
1443 (message "%s" (if prefix msg "")))
1445 (not calc-is-keypad-press)
1446 (if (boundp 'overriding-terminal-local-map)
1447 (setq overriding-terminal-local-map calc-fancy-prefix-map)
1448 (let ((event (calc-read-key t)))
1449 (if (eq (setq last-command-event (car event)) ?\C-u)
1450 (universal-argument)
1451 (if (or (not (integerp last-command-event))
1452 (and (>= last-command-event 0) (< last-command-event ? )
1453 (not (memq last-command-event '(?\e)))))
1454 (calc-wrapper)) ; clear flags if not a Calc command.
1455 (setq last-command-event (cdr event))
1456 (if (or (not (integerp last-command-event))
1457 (eq last-command-event ?-))
1458 (calc-unread-command)
1459 (digit-argument n))))))))
1461 (defun calc-fancy-prefix-other-key (arg)
1464 (not (eq last-command-event 'tab))
1465 (not (eq last-command-event 'M-tab))
1466 (or (not (integerp last-command-event))
1467 (and (>= last-command-event 0) (< last-command-event ? )
1468 (not (eq last-command-event meta-prefix-char)))))
1469 (calc-wrapper)) ; clear flags if not a Calc command.
1470 (setq prefix-arg arg)
1471 (calc-unread-command)
1472 (setq overriding-terminal-local-map nil))
1474 (defun calc-invert-func ()
1476 (calc-select-buffer)
1477 (setq calc-inverse-flag (not (calc-is-inverse))
1478 calc-hyperbolic-flag (calc-is-hyperbolic)
1479 current-prefix-arg nil)))
1481 (defun calc-is-inverse ()
1484 (defun calc-hyperbolic (&optional n)
1486 (let* ((inv-flag (if (or
1487 (eq major-mode 'calc-keypad-mode)
1488 (eq major-mode 'calc-trail-mode))
1489 (with-current-buffer calc-main-buffer
1493 "Inverse Hyperbolic..."
1495 (calc-fancy-prefix 'calc-hyperbolic-flag msg n)))
1497 (defun calc-hyperbolic-func ()
1499 (calc-select-buffer)
1500 (setq calc-inverse-flag (calc-is-inverse)
1501 calc-hyperbolic-flag (not (calc-is-hyperbolic))
1502 current-prefix-arg nil)))
1504 (defun calc-is-hyperbolic ()
1505 calc-hyperbolic-flag)
1507 (defun calc-keep-args (&optional n)
1509 (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
1512 (defun calc-change-mode (var value &optional refresh option)
1514 (setq value (if value
1515 (> (prefix-numeric-value value) 0)
1516 (not (symbol-value var)))))
1517 (or (consp var) (setq var (list var) value (list value)))
1518 (if calc-inverse-flag
1520 (or refresh (error "Not a display-mode command"))
1521 (calc-check-stack 1)
1525 (setq old (cons (symbol-value (car v)) old))
1526 (set (car v) (car value))
1529 (calc-refresh-top 1)
1530 (calc-refresh-evaltos)
1531 (symbol-value (car var)))
1533 (setq old (nreverse old))
1535 (set (car v) (car old))
1538 (if (eq (car var) 'calc-language)
1539 (calc-set-language calc-language calc-language-option t)))))
1543 (or (equal (symbol-value (car v)) (car value))
1545 (set (car v) (car value))
1546 (if (eq (car v) 'calc-float-format)
1547 (setq calc-full-float-format
1548 (list (if (eq (car (car value)) 'fix)
1557 (or (and refresh (calc-do-refresh))
1558 (calc-refresh-evaltos))
1559 (and (eq calc-mode-save-mode 'save)
1560 (not (equal var '(calc-mode-save-mode)))
1561 (calc-save-modes))))
1562 (if calc-embedded-info (calc-embedded-modes-change var))
1563 (symbol-value (car var)))))
1565 (defun calc-toggle-banner ()
1566 "Toggle display of the friendly greeting calc normally shows above the stack."
1568 (setq calc-show-banner (not calc-show-banner))
1571 (defun calc-refresh-top (n)
1576 (let ((entry (calc-top n 'entry))
1577 (calc-undo-list nil) (calc-redo-list nil))
1578 (calc-pop-stack 1 n t)
1579 (calc-push-list (list (car entry)) n (list (nth 2 entry)))))
1583 (let ((entries (calc-top-list n 1 'entry))
1584 (calc-undo-list nil) (calc-redo-list nil))
1585 (calc-pop-stack n 1 t)
1586 (calc-push-list (mapcar 'car entries)
1588 (mapcar (function (lambda (x) (nth 2 x)))
1591 (defvar calc-refreshing-evaltos nil)
1592 (defvar calc-no-refresh-evaltos nil)
1593 (defun calc-refresh-evaltos (&optional which-var)
1594 (and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos)
1595 (let ((calc-refreshing-evaltos t)
1596 (num (calc-stack-size))
1597 (calc-undo-list nil) (calc-redo-list nil)
1600 (setq value (calc-top num 'entry))
1601 (if (and (not (nth 2 value))
1602 (setq value (car value))
1603 (or (eq (car-safe value) 'calcFunc-evalto)
1604 (and (eq (car-safe value) 'vec)
1605 (eq (car-safe (nth 1 value)) 'calcFunc-evalto))))
1607 (setq new-val (math-normalize value))
1608 (or (equal new-val value)
1610 (calc-push-list (list new-val) num)
1611 (calc-pop-stack 1 (1+ num) t)))))
1612 (setq num (1- num)))))
1613 (and calc-embedded-active which-var
1614 (calc-embedded-var-change which-var)))
1616 (defun calc-push (&rest vals)
1617 (calc-push-list vals))
1619 (defun calc-pop-push (n &rest vals)
1620 (calc-pop-push-list n vals))
1622 (defun calc-pop-push-record (n prefix &rest vals)
1623 (calc-pop-push-record-list n prefix vals))
1626 (defun calc-evaluate (n)
1630 (setq n (calc-stack-size)))
1631 (calc-with-default-simplification
1633 (calc-pop-push-record-list 1 "eval"
1634 (math-evaluate-expr (calc-top (- n)))
1636 (calc-pop-push-record-list n "eval" (mapcar 'math-evaluate-expr
1637 (calc-top-list n)))))
1638 (calc-handle-whys)))
1641 (defun calc-eval-num (n)
1644 (let* ((nn (prefix-numeric-value n))
1645 (calc-internal-prec (cond ((>= nn 3) nn)
1646 ((< nn 0) (max (+ calc-internal-prec nn)
1648 (t calc-internal-prec)))
1649 (calc-symbolic-mode nil))
1650 (calc-with-default-simplification
1651 (calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1)))))
1652 (calc-handle-whys)))
1655 (defvar calc-extended-command-history nil
1656 "The history list for calc-execute-extended-command.")
1658 (defun calc-execute-extended-command (n)
1660 (let* ((prompt (concat (calc-num-prefix-name n) "M-x "))
1662 (completing-read prompt obarray 'commandp t "calc-"
1663 'calc-extended-command-history))))
1665 (command-execute cmd)))
1668 (defun calc-realign (&optional num)
1670 (if (and num (eq major-mode 'calc-mode))
1672 (calc-check-stack num)
1673 (calc-cursor-stack-index num)
1674 (and calc-line-numbering
1676 (if (and calc-embedded-info
1677 (eq (current-buffer) (aref calc-embedded-info 0)))
1679 (goto-char (aref calc-embedded-info 2))
1680 (if (save-excursion (set-buffer (aref calc-embedded-info 1))
1684 (if (get-buffer-window (current-buffer))
1685 (set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
1687 (defvar math-cache-list nil)
1689 (defun calc-var-value (v)
1693 (if (symbolp (symbol-value v))
1694 (set v (funcall (symbol-value v)))
1695 (if (stringp (symbol-value v))
1696 (let ((val (math-read-expr (symbol-value v))))
1697 (if (eq (car-safe val) 'error)
1698 (error "Bad format in variable contents: %s" (nth 2 val))
1700 (symbol-value v)))))
1702 ;;; In the following table, ( OP LOPS ROPS ) means that if an OP
1703 ;;; term appears as the first argument to any LOPS term, or as the
1704 ;;; second argument to any ROPS term, then they should be treated
1705 ;;; as one large term for purposes of associative selection.
1706 (defconst calc-assoc-ops '( ( + ( + - ) ( + ) )
1711 ( calcFunc-land ( calcFunc-land )
1713 ( calcFunc-lor ( calcFunc-lor )
1714 ( calcFunc-lor ) ) ))
1717 (defvar var-CommuteRules 'calc-CommuteRules)
1718 (defvar var-JumpRules 'calc-JumpRules)
1719 (defvar var-DistribRules 'calc-DistribRules)
1720 (defvar var-MergeRules 'calc-MergeRules)
1721 (defvar var-NegateRules 'calc-NegateRules)
1722 (defvar var-InvertRules 'calc-InvertRules)
1725 (defconst calc-tweak-eqn-table '( ( calcFunc-eq calcFunc-eq calcFunc-neq )
1726 ( calcFunc-neq calcFunc-neq calcFunc-eq )
1727 ( calcFunc-lt calcFunc-gt calcFunc-geq )
1728 ( calcFunc-gt calcFunc-lt calcFunc-leq )
1729 ( calcFunc-leq calcFunc-geq calcFunc-gt )
1730 ( calcFunc-geq calcFunc-leq calcFunc-lt ) ))
1735 (defun calc-float (arg)
1738 (calc-unary-op "flt"
1739 (if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat)
1743 (defvar calc-gnuplot-process nil)
1744 (defvar calc-gnuplot-input)
1745 (defvar calc-gnuplot-buffer)
1747 (defun calc-gnuplot-alive ()
1748 (and calc-gnuplot-process
1750 (buffer-name calc-gnuplot-buffer)
1752 (buffer-name calc-gnuplot-input)
1753 (memq (process-status calc-gnuplot-process) '(run stop))))
1759 (defun calc-load-everything ()
1761 (require 'calc-aent)
1763 (require 'calc-arith)
1765 (require 'calc-comb)
1766 (require 'calc-cplx)
1767 (require 'calc-embed)
1769 (require 'calc-forms)
1770 (require 'calc-frac)
1771 (require 'calc-funcs)
1772 (require 'calc-graph)
1773 (require 'calc-help)
1774 (require 'calc-incom)
1775 (require 'calc-keypd)
1776 (require 'calc-lang)
1777 (require 'calc-macs)
1779 (require 'calc-math)
1780 (require 'calc-misc)
1781 (require 'calc-mode)
1783 (require 'calc-poly)
1784 (require 'calc-prog)
1785 (require 'calc-rewr)
1786 (require 'calc-rules)
1788 (require 'calc-stat)
1789 (require 'calc-store)
1790 (require 'calc-stuff)
1791 (require 'calc-trail)
1792 (require 'calc-undo)
1793 (require 'calc-units)
1795 (require 'calc-yank)
1801 (message "All parts of Calc are now loaded"))
1804 ;;; Vector commands.
1806 (defun calc-concat (arg)
1809 (if (calc-is-inverse)
1810 (if (calc-is-hyperbolic)
1811 (calc-enter-result 2 "apnd" (list 'calcFunc-append
1812 (calc-top 1) (calc-top 2)))
1813 (calc-enter-result 2 "|" (list 'calcFunc-vconcat
1814 (calc-top 1) (calc-top 2))))
1815 (if (calc-is-hyperbolic)
1816 (calc-binary-op "apnd" 'calcFunc-append arg '(vec))
1817 (calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|)))))
1819 (defun calc-append (arg)
1821 (calc-hyperbolic-func)
1825 (defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB )
1826 ( var ArgC var-ArgC ) ( var ArgD var-ArgD )
1827 ( var ArgE var-ArgE ) ( var ArgF var-ArgF )
1828 ( var ArgG var-ArgG ) ( var ArgH var-ArgH )
1829 ( var ArgI var-ArgI ) ( var ArgJ var-ArgJ )
1832 (defun calc-invent-args (n)
1833 (nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values))))
1840 (defun calc-user-key-map ()
1841 (if (featurep 'xemacs)
1842 (error "User-defined keys are not supported in XEmacs"))
1843 (let ((res (cdr (lookup-key calc-mode-map "z"))))
1844 (if (eq (car (car res)) 27)
1848 (defvar calc-z-prefix-buf nil)
1849 (defvar calc-z-prefix-msgs nil)
1851 (defun calc-z-prefix-help ()
1853 (let* ((calc-z-prefix-msgs nil)
1854 (calc-z-prefix-buf "")
1855 (kmap (sort (copy-sequence (calc-user-key-map))
1856 (function (lambda (x y) (< (car x) (car y))))))
1857 (flags (apply 'logior
1860 (calc-user-function-classify (car k))))
1862 (if (= (logand flags 8) 0)
1863 (calc-user-function-list kmap 7)
1864 (calc-user-function-list kmap 1)
1865 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)
1866 calc-z-prefix-buf "")
1867 (calc-user-function-list kmap 6))
1869 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)))
1870 (calc-do-prefix-help (nreverse calc-z-prefix-msgs) "user" ?z)))
1872 (defun calc-user-function-classify (key)
1873 (cond ((/= key (downcase key)) ; upper-case
1874 (if (assq (downcase key) (calc-user-key-map)) 9 1))
1875 ((/= key (upcase key)) 2) ; lower-case
1879 (defun calc-user-function-list (map flags)
1881 (let* ((key (car (car map)))
1882 (kind (calc-user-function-classify key))
1883 (func (cdr (car map))))
1884 (if (or (= (logand kind flags) 0)
1885 (not (symbolp func)))
1887 (let* ((name (symbol-name func))
1888 (name (if (string-match "\\`calc-" name)
1889 (substring name 5) name))
1890 (pos (string-match (char-to-string key) name))
1893 (if (= (logand kind 3) 0)
1894 (format "`%c' = %s" key name)
1897 (downcase (substring name 0 pos))
1899 (downcase (substring name (1+ pos))))
1903 (char-to-string (upcase key)))))
1904 (if (= (length calc-z-prefix-buf) 0)
1905 (setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1907 (if (> (+ (length calc-z-prefix-buf) (length desc)) 58)
1908 (setq calc-z-prefix-msgs
1909 (cons calc-z-prefix-buf calc-z-prefix-msgs)
1910 calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1912 (setq calc-z-prefix-buf (concat calc-z-prefix-buf ", " desc))))))
1913 (calc-user-function-list (cdr map) flags))))
1917 (defun calc-shift-Z-prefix-help ()
1919 (calc-do-prefix-help
1920 '("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn"
1921 "Composition, Syntax; Invocation; Permanent; Timing"
1922 "kbd-macros: [ (if), : (else), | (else-if), ] (end-if)"
1923 "kbd-macros: < > (repeat), ( ) (for), { } (loop)"
1924 "kbd-macros: / (break)"
1925 "kbd-macros: ` (save), ' (restore)")
1931 (defmacro math-defcache (name init form)
1932 (let ((cache-prec (intern (concat (symbol-name name) "-cache-prec")))
1933 (cache-val (intern (concat (symbol-name name) "-cache")))
1934 (last-prec (intern (concat (symbol-name name) "-last-prec")))
1935 (last-val (intern (concat (symbol-name name) "-last"))))
1937 ; (list 'defvar cache-prec (if init (math-numdigs (nth 1 init)) -100))
1938 (list 'defvar cache-prec
1940 ((consp ,init) (math-numdigs (nth 1 ,init)))
1942 (nth 1 (math-numdigs (eval ,init))))
1945 (list 'defvar cache-val
1947 ((consp ,init) ,init)
1948 (,init (eval ,init))
1950 (list 'defvar last-prec -100)
1951 (list 'defvar last-val nil)
1952 (list 'setq 'math-cache-list
1954 (list 'quote cache-prec)
1956 (list 'quote last-prec)
1961 (list '= last-prec 'calc-internal-prec)
1964 (list 'math-normalize
1967 (list '>= cache-prec
1968 'calc-internal-prec)
1972 '((calc-internal-prec
1973 (+ calc-internal-prec
1977 '(+ calc-internal-prec 2)))
1979 last-prec 'calc-internal-prec))
1981 (put 'math-defcache 'lisp-indent-hook 2)
1983 ;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public]
1984 (defconst math-approx-pi
1985 (math-read-number-simple "3.141592653589793238463")
1986 "An approximation for pi.")
1988 (math-defcache math-pi math-approx-pi
1989 (math-add-float (math-mul-float '(float 16 0)
1990 (math-arctan-raw '(float 2 -1)))
1991 (math-mul-float '(float -4 0)
1993 (math-float '(frac 1 239))))))
1995 (math-defcache math-two-pi nil
1996 (math-mul-float (math-pi) '(float 2 0)))
1998 (math-defcache math-pi-over-2 nil
1999 (math-mul-float (math-pi) '(float 5 -1)))
2001 (math-defcache math-pi-over-4 nil
2002 (math-mul-float (math-pi) '(float 25 -2)))
2004 (math-defcache math-pi-over-180 nil
2005 (math-div-float (math-pi) '(float 18 1)))
2007 (math-defcache math-sqrt-pi nil
2008 (math-sqrt-float (math-pi)))
2010 (math-defcache math-sqrt-2 nil
2011 (math-sqrt-float '(float 2 0)))
2013 (math-defcache math-sqrt-12 nil
2014 (math-sqrt-float '(float 12 0)))
2016 (math-defcache math-sqrt-two-pi nil
2017 (math-sqrt-float (math-two-pi)))
2019 (defconst math-approx-sqrt-e
2020 (math-read-number-simple "1.648721270700128146849")
2021 "An approximation for sqrt(3).")
2023 (math-defcache math-sqrt-e math-approx-sqrt-e
2024 (math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
2026 (math-defcache math-e nil
2027 (math-pow (math-sqrt-e) 2))
2029 (math-defcache math-phi nil
2030 (math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
2033 (defconst math-approx-gamma-const
2034 (math-read-number-simple
2035 "0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495")
2036 "An approximation for gamma.")
2038 (math-defcache math-gamma-const nil
2039 math-approx-gamma-const)
2041 (defun math-half-circle (symb)
2042 (if (eq calc-angle-mode 'rad)
2048 (defun math-full-circle (symb)
2049 (math-mul 2 (math-half-circle symb)))
2051 (defun math-quarter-circle (symb)
2052 (math-div (math-half-circle symb) 2))
2054 (defvar math-expand-formulas nil)
2056 ;;;; Miscellaneous math routines.
2058 ;;; True if A is an odd integer. [P R R] [Public]
2059 (defun math-oddp (a)
2061 (and (memq (car a) '(bigpos bigneg))
2062 (= (% (nth 1 a) 2) 1))
2065 ;;; True if A is a small or big integer. [P x] [Public]
2066 (defun math-integerp (a)
2068 (memq (car-safe a) '(bigpos bigneg))))
2070 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2071 (defun math-natnump (a)
2073 (eq (car-safe a) 'bigpos)))
2075 ;;; True if A is a rational (or integer). [P x] [Public]
2076 (defun math-ratp (a)
2078 (memq (car-safe a) '(bigpos bigneg frac))))
2080 ;;; True if A is a real (or rational). [P x] [Public]
2081 (defun math-realp (a)
2083 (memq (car-safe a) '(bigpos bigneg frac float))))
2085 ;;; True if A is a real or HMS form. [P x] [Public]
2086 (defun math-anglep (a)
2088 (memq (car-safe a) '(bigpos bigneg frac float hms))))
2090 ;;; True if A is a number of any kind. [P x] [Public]
2091 (defun math-numberp (a)
2093 (memq (car-safe a) '(bigpos bigneg frac float cplx polar))))
2095 ;;; True if A is a complex number or angle. [P x] [Public]
2096 (defun math-scalarp (a)
2098 (memq (car-safe a) '(bigpos bigneg frac float cplx polar hms))))
2100 ;;; True if A is a vector. [P x] [Public]
2101 (defun math-vectorp (a)
2102 (eq (car-safe a) 'vec))
2104 ;;; True if A is any vector or scalar data object. [P x]
2105 (defun math-objvecp (a) ; [Public]
2107 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2108 hms date sdev intv mod vec incomplete))))
2110 ;;; True if A is an object not composed of sub-formulas . [P x] [Public]
2111 (defun math-primp (a)
2113 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2114 hms date mod var))))
2116 ;;; True if A is numerically (but not literally) an integer. [P x] [Public]
2117 (defun math-messy-integerp (a)
2119 ((eq (car-safe a) 'float) (>= (nth 2 a) 0))
2120 ((eq (car-safe a) 'frac) (Math-integerp (math-normalize a)))))
2122 ;;; True if A is numerically an integer. [P x] [Public]
2123 (defun math-num-integerp (a)
2124 (or (Math-integerp a)
2125 (Math-messy-integerp a)))
2127 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2128 (defun math-num-natnump (a)
2130 (eq (car-safe a) 'bigpos)
2131 (and (eq (car-safe a) 'float)
2132 (Math-natnump (nth 1 a))
2135 ;;; True if A is an integer or will evaluate to an integer. [P x] [Public]
2136 (defun math-provably-integerp (a)
2137 (or (Math-integerp a)
2138 (and (memq (car-safe a) '(calcFunc-trunc
2146 ;;; True if A is a real or will evaluate to a real. [P x] [Public]
2147 (defun math-provably-realp (a)
2149 (math-provably-integerp a)
2150 (memq (car-safe a) '(abs arg))))
2152 ;;; True if A is a non-real, complex number. [P x] [Public]
2153 (defun math-complexp (a)
2154 (memq (car-safe a) '(cplx polar)))
2156 ;;; True if A is a non-real, rectangular complex number. [P x] [Public]
2157 (defun math-rect-complexp (a)
2158 (eq (car-safe a) 'cplx))
2160 ;;; True if A is a non-real, polar complex number. [P x] [Public]
2161 (defun math-polar-complexp (a)
2162 (eq (car-safe a) 'polar))
2164 ;;; True if A is a matrix. [P x] [Public]
2165 (defun math-matrixp (a)
2166 (and (Math-vectorp a)
2167 (Math-vectorp (nth 1 a))
2169 (let ((len (length (nth 1 a))))
2171 (while (and (setq a (cdr a))
2172 (Math-vectorp (car a))
2173 (= (length (car a)) len)))
2176 (defun math-matrixp-step (a len) ; [P L]
2178 (and (Math-vectorp (car a))
2179 (= (length (car a)) len)
2180 (math-matrixp-step (cdr a) len))))
2182 ;;; True if A is a square matrix. [P V] [Public]
2183 (defun math-square-matrixp (a)
2184 (let ((dims (math-mat-dimens a)))
2186 (= (car dims) (nth 1 dims)))))
2188 ;;; True if MAT is an identity matrix.
2189 (defun math-identity-matrix-p (mat &optional mul)
2190 (if (math-square-matrixp mat)
2194 (n (1- (length mat)))
2196 (while (and (<= i n)
2197 (math-ident-row-p (nth i mat) i a))
2203 (defun math-ident-row-p (row n &optional a)
2207 (not (memq nil (mapcar
2208 (lambda (x) (eq x 0))
2209 (nthcdr (1+ n) row))))
2210 (not (memq nil (mapcar
2211 (lambda (x) (eq x 0))
2214 (- (length row) n)))))
2215 (eq (elt row n) a)))
2217 ;;; True if A is any scalar data object. [P x]
2218 (defun math-objectp (a) ; [Public]
2220 (memq (car-safe a) '(bigpos bigneg frac float cplx
2221 polar hms date sdev intv mod))))
2223 ;;; Verify that A is an integer and return A in integer form. [I N; - x]
2224 (defun math-check-integer (a) ; [Public]
2225 (cond ((integerp a) a) ; for speed
2226 ((math-integerp a) a)
2227 ((math-messy-integerp a)
2229 (t (math-reject-arg a 'integerp))))
2231 ;;; Verify that A is a small integer and return A in integer form. [S N; - x]
2232 (defun math-check-fixnum (a &optional allow-inf) ; [Public]
2233 (cond ((integerp a) a) ; for speed
2234 ((Math-num-integerp a)
2235 (let ((a (math-trunc a)))
2238 (if (or (Math-lessp (lsh -1 -1) a)
2239 (Math-lessp a (- (lsh -1 -1))))
2240 (math-reject-arg a 'fixnump)
2242 ((and allow-inf (equal a '(var inf var-inf)))
2244 ((and allow-inf (equal a '(neg (var inf var-inf))))
2246 (t (math-reject-arg a 'fixnump))))
2248 ;;; Verify that A is an integer >= 0 and return A in integer form. [I N; - x]
2249 (defun math-check-natnum (a) ; [Public]
2250 (cond ((natnump a) a)
2251 ((and (not (math-negp a))
2252 (Math-num-integerp a))
2254 (t (math-reject-arg a 'natnump))))
2256 ;;; Verify that A is in floating-point form, or force it to be a float. [F N]
2257 (defun math-check-float (a) ; [Public]
2258 (cond ((eq (car-safe a) 'float) a)
2259 ((Math-vectorp a) (math-map-vec 'math-check-float a))
2260 ((Math-objectp a) (math-float a))
2263 ;;; Verify that A is a constant.
2264 (defun math-check-const (a &optional exp-ok)
2265 (if (or (math-constp a)
2266 (and exp-ok math-expand-formulas))
2268 (math-reject-arg a 'constp)))
2270 ;;; Some functions for working with error forms.
2271 (defun math-get-value (x)
2272 "Get the mean value of the error form X.
2273 If X is not an error form, return X."
2274 (if (eq (car-safe x) 'sdev)
2278 (defun math-get-sdev (x &optional one)
2279 "Get the standard deviation of the error form X.
2280 If X is not an error form, return 1."
2281 (if (eq (car-safe x) 'sdev)
2285 (defun math-contains-sdev-p (ls)
2286 "Non-nil if the list LS contains an error form."
2287 (let ((ls (if (eq (car-safe ls) 'vec) (cdr ls) ls)))
2288 (memq t (mapcar (lambda (x) (eq (car-safe x) 'sdev)) ls))))
2290 ;;; Coerce integer A to be a small integer. [S I]
2291 (defun math-fixnum (a)
2294 (if (eq (car a) 'bigneg)
2295 (- (math-fixnum-big (cdr a)))
2296 (math-fixnum-big (cdr a)))
2300 (defun math-fixnum-big (a)
2302 (+ (car a) (* (math-fixnum-big (cdr a)) math-bignum-digit-size))
2305 (defvar math-simplify-only nil)
2307 (defun math-normalize-fancy (a)
2308 (cond ((eq (car a) 'frac)
2309 (math-make-frac (math-normalize (nth 1 a))
2310 (math-normalize (nth 2 a))))
2312 (let ((real (math-normalize (nth 1 a)))
2313 (imag (math-normalize (nth 2 a))))
2314 (if (and (math-zerop imag)
2315 (not math-simplify-only)) ; oh, what a kludge!
2317 (list 'cplx real imag))))
2318 ((eq (car a) 'polar)
2319 (math-normalize-polar a))
2321 (math-normalize-hms a))
2323 (list 'date (math-normalize (nth 1 a))))
2325 (math-normalize-mod a))
2327 (let ((x (math-normalize (nth 1 a)))
2328 (s (math-normalize (nth 2 a))))
2329 (if (or (and (Math-objectp x) (not (Math-scalarp x)))
2330 (and (Math-objectp s) (not (Math-scalarp s))))
2331 (list 'calcFunc-sdev x s)
2332 (math-make-sdev x s))))
2334 (let ((mask (math-normalize (nth 1 a)))
2335 (lo (math-normalize (nth 2 a)))
2336 (hi (math-normalize (nth 3 a))))
2337 (if (if (eq (car-safe lo) 'date)
2338 (not (eq (car-safe hi) 'date))
2339 (or (and (Math-objectp lo) (not (Math-anglep lo)))
2340 (and (Math-objectp hi) (not (Math-anglep hi)))))
2341 (list 'calcFunc-intv mask lo hi)
2342 (math-make-intv mask lo hi))))
2344 (cons 'vec (mapcar 'math-normalize (cdr a))))
2345 ((eq (car a) 'quote)
2346 (math-normalize (nth 1 a)))
2347 ((eq (car a) 'special-const)
2348 (calc-with-default-simplification
2349 (math-normalize (nth 1 a))))
2351 (cons 'var (cdr a))) ; need to re-cons for selection routines
2352 ((eq (car a) 'calcFunc-if)
2353 (math-normalize-logical-op a))
2354 ((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition))
2355 (let ((calc-simplify-mode 'none))
2356 (cons (car a) (mapcar 'math-normalize (cdr a)))))
2357 ((eq (car a) 'calcFunc-evalto)
2358 (setq a (or (nth 1 a) 0))
2359 (or calc-refreshing-evaltos
2360 (setq a (let ((calc-simplify-mode 'none)) (math-normalize a))))
2361 (let ((b (if (and (eq (car-safe a) 'calcFunc-assign)
2365 (list 'calcFunc-evalto
2367 (if (eq calc-simplify-mode 'none)
2369 (calc-with-default-simplification
2370 (math-evaluate-expr b))))))
2371 ((or (integerp (car a)) (consp (car a)))
2373 (math-normalize (car a))
2374 (error "Can't use multi-valued function in an expression")))))
2376 ;; The variable math-normalize-a is local to math-normalize in calc.el,
2377 ;; but is used by math-normalize-nonstandard, which is called by
2379 (defvar math-normalize-a)
2381 (defun math-normalize-nonstandard ()
2382 (if (consp calc-simplify-mode)
2384 (setq calc-simplify-mode 'none
2385 math-simplify-only (car-safe (cdr-safe math-normalize-a)))
2387 (and (symbolp (car math-normalize-a))
2388 (or (eq calc-simplify-mode 'none)
2389 (and (eq calc-simplify-mode 'num)
2390 (let ((aptr (setq math-normalize-a
2392 (car math-normalize-a)
2393 (mapcar 'math-normalize
2394 (cdr math-normalize-a))))))
2395 (while (and aptr (math-constp (car aptr)))
2396 (setq aptr (cdr aptr)))
2398 (cons (car math-normalize-a)
2399 (mapcar 'math-normalize (cdr math-normalize-a))))))
2402 ;;; Normalize a bignum digit list by trimming high-end zeros. [L l]
2403 (defun math-norm-bignum (a)
2404 (let ((digs a) (last nil))
2406 (or (eq (car digs) 0) (setq last digs))
2407 (setq digs (cdr digs)))
2413 (defun math-bignum-test (a) ; [B N; B s; b b]
2419 ;;; Return 0 for zero, -1 for negative, 1 for positive. [S n] [Public]
2420 (defun calcFunc-sign (a &optional x)
2421 (let ((signs (math-possible-signs a)))
2422 (cond ((eq signs 4) (or x 1))
2424 ((eq signs 1) (if x (math-neg x) -1))
2425 ((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a))))
2426 (t (calc-record-why 'realp a)
2428 (list 'calcFunc-sign a x)
2429 (list 'calcFunc-sign a))))))
2431 ;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more.
2432 ;;; Arguments must be normalized! [S N N]
2433 (defun math-compare (a b)
2436 (memq (car a) '(var neg * /))
2440 ((and (integerp a) (Math-integerp b))
2442 (if (eq (car b) 'bigpos) -1 1)
2444 ((and (eq (car-safe a) 'bigpos) (Math-integerp b))
2445 (if (eq (car-safe b) 'bigpos)
2446 (math-compare-bignum (cdr a) (cdr b))
2448 ((and (eq (car-safe a) 'bigneg) (Math-integerp b))
2449 (if (eq (car-safe b) 'bigneg)
2450 (math-compare-bignum (cdr b) (cdr a))
2452 ((eq (car-safe a) 'frac)
2453 (if (eq (car-safe b) 'frac)
2454 (math-compare (math-mul (nth 1 a) (nth 2 b))
2455 (math-mul (nth 1 b) (nth 2 a)))
2456 (math-compare (nth 1 a) (math-mul b (nth 2 a)))))
2457 ((eq (car-safe b) 'frac)
2458 (math-compare (math-mul a (nth 2 b)) (nth 1 b)))
2459 ((and (eq (car-safe a) 'float) (eq (car-safe b) 'float))
2460 (if (math-lessp-float a b) -1 1))
2461 ((and (eq (car-safe a) 'date) (eq (car-safe b) 'date))
2462 (math-compare (nth 1 a) (nth 1 b)))
2463 ((and (or (Math-anglep a)
2464 (and (eq (car a) 'cplx) (eq (nth 2 a) 0)))
2466 (and (eq (car b) 'cplx) (eq (nth 2 b) 0))))
2467 (calcFunc-sign (math-add a (math-neg b))))
2468 ((and (eq (car-safe a) 'intv)
2469 (or (Math-anglep b) (eq (car-safe b) 'date)))
2470 (let ((res (math-compare (nth 2 a) b)))
2471 (cond ((eq res 1) 1)
2472 ((and (eq res 0) (memq (nth 1 a) '(0 1))) 1)
2473 ((eq (setq res (math-compare (nth 3 a) b)) -1) -1)
2474 ((and (eq res 0) (memq (nth 1 a) '(0 2))) -1)
2476 ((and (eq (car-safe b) 'intv)
2477 (or (Math-anglep a) (eq (car-safe a) 'date)))
2478 (let ((res (math-compare a (nth 2 b))))
2479 (cond ((eq res -1) -1)
2480 ((and (eq res 0) (memq (nth 1 b) '(0 1))) -1)
2481 ((eq (setq res (math-compare a (nth 3 b))) 1) 1)
2482 ((and (eq res 0) (memq (nth 1 b) '(0 2))) 1)
2484 ((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv))
2485 (let ((res (math-compare (nth 3 a) (nth 2 b))))
2486 (cond ((eq res -1) -1)
2487 ((and (eq res 0) (or (memq (nth 1 a) '(0 2))
2488 (memq (nth 1 b) '(0 1)))) -1)
2489 ((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1)
2490 ((and (eq res 0) (or (memq (nth 1 a) '(0 1))
2491 (memq (nth 1 b) '(0 2)))) 1)
2494 (if (or (equal a '(var uinf var-uinf))
2495 (equal a '(var nan var-nan)))
2497 (let ((dira (math-infinite-dir a)))
2498 (if (math-infinitep b)
2499 (if (or (equal b '(var uinf var-uinf))
2500 (equal b '(var nan var-nan)))
2502 (let ((dirb (math-infinite-dir b)))
2503 (cond ((and (eq dira 1) (eq dirb -1)) 1)
2504 ((and (eq dira -1) (eq dirb 1)) -1)
2506 (cond ((eq dira 1) 1)
2510 (if (or (equal b '(var uinf var-uinf))
2511 (equal b '(var nan var-nan)))
2513 (let ((dirb (math-infinite-dir b)))
2514 (cond ((eq dirb 1) -1)
2517 ((and (eq (car-safe a) 'calcFunc-exp)
2518 (eq (car-safe b) '^)
2519 (equal (nth 1 b) '(var e var-e)))
2520 (math-compare (nth 1 a) (nth 2 b)))
2521 ((and (eq (car-safe b) 'calcFunc-exp)
2522 (eq (car-safe a) '^)
2523 (equal (nth 1 a) '(var e var-e)))
2524 (math-compare (nth 2 a) (nth 1 b)))
2525 ((or (and (eq (car-safe a) 'calcFunc-sqrt)
2526 (eq (car-safe b) '^)
2527 (or (equal (nth 2 b) '(frac 1 2))
2528 (equal (nth 2 b) '(float 5 -1))))
2529 (and (eq (car-safe b) 'calcFunc-sqrt)
2530 (eq (car-safe a) '^)
2531 (or (equal (nth 2 a) '(frac 1 2))
2532 (equal (nth 2 a) '(float 5 -1)))))
2533 (math-compare (nth 1 a) (nth 1 b)))
2534 ((eq (car-safe a) 'var)
2537 (if (and (consp a) (consp b)
2538 (eq (car a) (car b))
2539 (math-compare-lists (cdr a) (cdr b)))
2543 ;;; Compare two bignum digit lists, return -1 for A<B, 0 for A=B, 1 for A>B.
2544 (defun math-compare-bignum (a b) ; [S l l]
2547 (if (< (car a) (car b))
2549 (if (> (car a) (car b))
2555 (while (eq (car a) 0) (setq a (cdr a)))
2557 (while (eq (car b) 0) (setq b (cdr b)))
2560 (defun math-compare-lists (a b)
2561 (cond ((null a) (null b))
2563 (t (and (Math-equal (car a) (car b))
2564 (math-compare-lists (cdr a) (cdr b))))))
2566 (defun math-lessp-float (a b) ; [P F F]
2567 (let ((ediff (- (nth 2 a) (nth 2 b))))
2569 (if (>= ediff (+ calc-internal-prec calc-internal-prec))
2570 (if (eq (nth 1 a) 0)
2571 (Math-integer-posp (nth 1 b))
2572 (Math-integer-negp (nth 1 a)))
2573 (Math-lessp (math-scale-int (nth 1 a) ediff)
2575 (if (>= (setq ediff (- ediff))
2576 (+ calc-internal-prec calc-internal-prec))
2577 (if (eq (nth 1 b) 0)
2578 (Math-integer-negp (nth 1 a))
2579 (Math-integer-posp (nth 1 b)))
2580 (Math-lessp (nth 1 a)
2581 (math-scale-int (nth 1 b) ediff))))))
2583 ;;; True if A is numerically equal to B. [P N N] [Public]
2584 (defun math-equal (a b)
2585 (= (math-compare a b) 0))
2587 ;;; True if A is numerically less than B. [P R R] [Public]
2588 (defun math-lessp (a b)
2589 (= (math-compare a b) -1))
2591 ;;; True if A is numerically equal to the integer B. [P N S] [Public]
2592 ;;; B must not be a multiple of 10.
2593 (defun math-equal-int (a b)
2595 (and (eq (car-safe a) 'float)
2602 ;;; Return the dimensions of a matrix as a list. [l x] [Public]
2603 (defun math-mat-dimens (m)
2604 (if (math-vectorp m)
2605 (if (math-matrixp m)
2606 (cons (1- (length m))
2607 (math-mat-dimens (nth 1 m)))
2608 (list (1- (length m))))
2613 (defun calc-binary-op-fancy (name func arg ident unary)
2614 (let ((n (prefix-numeric-value arg)))
2616 (calc-enter-result n
2618 (list 'calcFunc-reduce
2619 (math-calcFunc-to-var func)
2620 (cons 'vec (calc-top-list-n n)))))
2623 (calc-enter-result 1 name (list unary (calc-top-n 1)))))
2626 (calc-enter-result 0 name ident)
2627 (error "Argument must be nonzero")))
2629 (let ((rhs (calc-top-n 1)))
2630 (calc-enter-result (- 1 n)
2635 (calc-top-list-n (- n) 2))))))))
2637 (defun calc-unary-op-fancy (name func arg)
2638 (let ((n (prefix-numeric-value arg)))
2639 (if (= n 0) (setq n (calc-stack-size)))
2641 (calc-enter-result n
2646 (calc-top-list-n n))))
2648 (calc-enter-result 1
2650 (list func (calc-top-n (- n)))
2653 (defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun)))
2654 (defvar var-Decls (list 'vec))
2657 (defun math-inexact-result ()
2658 (and calc-symbolic-mode
2659 (signal 'inexact-result nil)))
2661 (defun math-overflow (&optional exp)
2662 (if (and exp (math-negp exp))
2664 (signal 'math-overflow nil)))
2666 (defun math-underflow ()
2667 (signal 'math-underflow nil))
2669 ;;; Compute the greatest common divisor of A and B. [I I I] [Public]
2670 (defun math-gcd (a b)
2671 (cond ((not (or (consp a) (consp b)))
2672 (if (< a 0) (setq a (- a)))
2673 (if (< b 0) (setq b (- b)))
2685 (if (Math-integer-negp a) (setq a (math-neg a)))
2686 (if (Math-integer-negp b) (setq b (math-neg b)))
2688 (if (Math-natnum-lessp a b)
2690 (while (and (consp a) (not (eq b 0)))
2703 ;;; Evaluate variables in an expression.
2704 (defun math-evaluate-expr (x) ; [Public]
2705 (if calc-embedded-info
2706 (calc-embedded-evaluate-expr x)
2707 (calc-normalize (math-evaluate-expr-rec x))))
2709 (defalias 'calcFunc-evalv 'math-evaluate-expr)
2711 (defun calcFunc-evalvn (x &optional prec)
2714 (or (math-num-integerp prec)
2715 (if (and (math-vectorp prec)
2717 (math-num-integerp (nth 1 prec)))
2718 (setq prec (math-add (nth 1 prec) calc-internal-prec))
2719 (math-reject-arg prec 'integerp)))
2720 (setq prec (math-trunc prec))
2721 (if (< prec 3) (setq prec 3))
2722 (if (> prec calc-internal-prec)
2724 (let ((calc-internal-prec prec))
2725 (calcFunc-evalvn x)))
2726 (let ((calc-internal-prec prec))
2727 (calcFunc-evalvn x))))
2728 (let ((calc-symbolic-mode nil))
2729 (math-evaluate-expr x))))
2731 (defun math-evaluate-expr-rec (x)
2733 (if (memq (car x) '(calcFunc-quote calcFunc-condition
2734 calcFunc-evalto calcFunc-assign))
2735 (if (and (eq (car x) 'calcFunc-assign)
2737 (list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x)))
2739 (if (eq (car x) 'var)
2740 (if (and (calc-var-value (nth 2 x))
2741 (not (eq (car-safe (symbol-value (nth 2 x)))
2743 (let ((val (symbol-value (nth 2 x))))
2744 (if (eq (car-safe val) 'special-const)
2745 (if calc-symbolic-mode
2752 (cons (car x) (mapcar 'math-evaluate-expr-rec (cdr x))))))
2755 (defun math-any-floats (expr)
2756 (if (Math-primp expr)
2758 (while (and (setq expr (cdr expr)) (not (math-any-floats (car expr)))))
2761 (defvar var-FactorRules 'calc-FactorRules)
2763 (defvar math-mt-many nil)
2764 (defvar math-mt-func nil)
2766 (defun math-map-tree (math-mt-func mmt-expr &optional math-mt-many)
2767 (or math-mt-many (setq math-mt-many 1000000))
2768 (math-map-tree-rec mmt-expr))
2770 (defun math-map-tree-rec (mmt-expr)
2771 (or (= math-mt-many 0)
2772 (let ((mmt-done nil)
2774 (while (not mmt-done)
2775 (while (and (/= math-mt-many 0)
2776 (setq mmt-nextval (funcall math-mt-func mmt-expr))
2777 (not (equal mmt-expr mmt-nextval)))
2778 (setq mmt-expr mmt-nextval
2779 math-mt-many (if (> math-mt-many 0)
2781 (1+ math-mt-many))))
2782 (if (or (Math-primp mmt-expr)
2783 (<= math-mt-many 0))
2785 (setq mmt-nextval (cons (car mmt-expr)
2786 (mapcar 'math-map-tree-rec
2788 (if (equal mmt-nextval mmt-expr)
2790 (setq mmt-expr mmt-nextval))))))
2793 (defun math-is-true (expr)
2794 (if (Math-numberp expr)
2795 (not (Math-zerop expr))
2796 (math-known-nonzerop expr)))
2798 (defun math-const-var (expr)
2800 (eq (car expr) 'var)
2801 (or (and (symbolp (nth 2 expr))
2802 (boundp (nth 2 expr))
2803 (eq (car-safe (symbol-value (nth 2 expr))) 'special-const))
2804 (memq (nth 2 expr) '(var-inf var-uinf var-nan)))))
2806 ;; The variable math-integral-cache is originally declared in calcalg2.el,
2807 ;; but is set by math-defintegral and math-definitegral2.
2808 (defvar math-integral-cache)
2810 (defmacro math-defintegral (funcs &rest code)
2811 (setq math-integral-cache nil)
2815 (list 'put (list 'quote func) ''math-integral
2817 (list 'get (list 'quote func) ''math-integral)
2820 (append '(lambda (u))
2822 (if (symbolp funcs) (list funcs) funcs))))
2823 (put 'math-defintegral 'lisp-indent-hook 1)
2825 (defmacro math-defintegral-2 (funcs &rest code)
2826 (setq math-integral-cache nil)
2830 (list 'put (list 'quote func) ''math-integral-2
2832 (list 'get (list 'quote func)
2836 (append '(lambda (u v))
2838 (if (symbolp funcs) (list funcs) funcs))))
2839 (put 'math-defintegral-2 'lisp-indent-hook 1)
2841 (defvar var-IntegAfterRules 'calc-IntegAfterRules)
2843 (defvar var-FitRules 'calc-FitRules)
2845 (defvar math-poly-base-variable nil)
2846 (defvar math-poly-neg-powers nil)
2847 (defvar math-poly-mult-powers 1)
2848 (defvar math-poly-frac-powers nil)
2849 (defvar math-poly-exp-base nil)
2851 (defun math-build-var-name (name)
2853 (setq name (intern name)))
2854 (if (string-match "\\`var-." (symbol-name name))
2855 (list 'var (intern (substring (symbol-name name) 4)) name)
2856 (list 'var name (intern (concat "var-" (symbol-name name))))))
2858 (defvar math-simplifying-units nil)
2859 (defvar math-combining-units t)
2861 ;;; Nontrivial number parsing.
2863 (defun math-read-number-fancy (s)
2866 ;; Integer+fractions
2867 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2868 (let ((int (math-match-substring s 1))
2869 (num (math-match-substring s 2))
2870 (den (math-match-substring s 3)))
2871 (let ((int (if (> (length int) 0) (math-read-number int) 0))
2872 (num (if (> (length num) 0) (math-read-number num) 1))
2873 (den (if (> (length num) 0) (math-read-number den) 1)))
2875 (math-integerp int) (math-integerp num) (math-integerp den)
2876 (not (math-zerop den))
2877 (list 'frac (math-add num (math-mul int den)) den)))))
2880 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2881 (let ((num (math-match-substring s 1))
2882 (den (math-match-substring s 2)))
2883 (let ((num (if (> (length num) 0) (math-read-number num) 1))
2884 (den (if (> (length num) 0) (math-read-number den) 1)))
2885 (and num den (math-integerp num) (math-integerp den)
2886 (not (math-zerop den))
2887 (list 'frac num den)))))
2890 ((string-match "^\\(.*\\) *mod *\\(.*\\)$" s)
2891 (let* ((n (math-match-substring s 1))
2892 (m (math-match-substring s 2))
2893 (n (math-read-number n))
2894 (m (math-read-number m)))
2895 (and n m (math-anglep n) (math-anglep m)
2899 ((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s)
2900 (let* ((x (math-match-substring s 1))
2901 (sigma (math-match-substring s 2))
2902 (x (math-read-number x))
2903 (sigma (math-read-number sigma)))
2904 (and x sigma (math-scalarp x) (math-anglep sigma)
2905 (list 'sdev x sigma))))
2907 ;; Hours (or degrees)
2908 ((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s)
2909 (string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s))
2910 (let* ((hours (math-match-substring s 1))
2911 (minsec (math-match-substring s 2))
2912 (hours (math-read-number hours))
2913 (minsec (if (> (length minsec) 0) (math-read-number minsec) 0)))
2915 (math-num-integerp hours)
2916 (not (math-negp hours)) (not (math-negp minsec))
2917 (cond ((math-num-integerp minsec)
2918 (and (Math-lessp minsec 60)
2919 (list 'hms hours minsec 0)))
2920 ((and (eq (car-safe minsec) 'hms)
2921 (math-zerop (nth 1 minsec)))
2922 (math-add (list 'hms hours 0 0) minsec))
2926 ((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s)
2927 (let* ((minutes (math-match-substring s 1))
2928 (seconds (math-match-substring s 2))
2929 (minutes (math-read-number minutes))
2930 (seconds (if (> (length seconds) 0) (math-read-number seconds) 0)))
2931 (and minutes seconds
2932 (math-num-integerp minutes)
2933 (not (math-negp minutes)) (not (math-negp seconds))
2934 (cond ((math-realp seconds)
2935 (and (Math-lessp minutes 60)
2936 (list 'hms 0 minutes seconds)))
2937 ((and (eq (car-safe seconds) 'hms)
2938 (math-zerop (nth 1 seconds))
2939 (math-zerop (nth 2 seconds)))
2940 (math-add (list 'hms 0 minutes 0) seconds))
2944 ((string-match "^\\([^\"#^]+\\)[sS\"]$" s)
2945 (let ((seconds (math-read-number (math-match-substring s 1))))
2946 (and seconds (math-realp seconds)
2947 (not (math-negp seconds))
2948 (Math-lessp seconds 60)
2949 (list 'hms 0 0 seconds))))
2951 ;; Integer+fraction with explicit radix
2952 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s)
2953 (let ((radix (string-to-number (math-match-substring s 1)))
2954 (int (math-match-substring s 3))
2955 (num (math-match-substring s 4))
2956 (den (math-match-substring s 5)))
2957 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2958 (num (if (> (length num) 0) (math-read-radix num radix) 1))
2959 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2960 (and int num den (not (math-zerop den))
2962 (math-add num (math-mul int den))
2965 ;; Fraction with explicit radix
2966 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s)
2967 (let ((radix (string-to-number (math-match-substring s 1)))
2968 (num (math-match-substring s 3))
2969 (den (math-match-substring s 4)))
2970 (let ((num (if (> (length num) 0) (math-read-radix num radix) 1))
2971 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2972 (and num den (not (math-zerop den)) (list 'frac num den)))))
2974 ;; Float with explicit radix and exponent
2975 ((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s)
2976 (string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s))
2977 (let ((radix (string-to-number (math-match-substring s 2)))
2978 (mant (math-match-substring s 1))
2979 (exp (math-match-substring s 4)))
2980 (let ((mant (math-read-number mant))
2981 (exp (math-read-number exp)))
2983 (math-mul mant (math-pow (math-float radix) exp))))))
2985 ;; Float with explicit radix, no exponent
2986 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s)
2987 (let ((radix (string-to-number (math-match-substring s 1)))
2988 (int (math-match-substring s 3))
2989 (fracs (math-match-substring s 4)))
2990 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2991 (frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0))
2992 (calc-prefer-frac nil))
2994 (math-add int (math-div frac (math-pow radix (length fracs))))))))
2996 ;; Integer with explicit radix
2997 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s)
2998 (math-read-radix (math-match-substring s 3)
2999 (string-to-number (math-match-substring s 1))))
3001 ;; C language hexadecimal notation
3002 ((and (eq calc-language 'c)
3003 (string-match "^0[xX]\\([0-9a-fA-F]+\\)$" s))
3004 (let ((digs (math-match-substring s 1)))
3005 (math-read-radix digs 16)))
3007 ;; Pascal language hexadecimal notation
3008 ((and (eq calc-language 'pascal)
3009 (string-match "^\\$\\([0-9a-fA-F]+\\)$" s))
3010 (let ((digs (math-match-substring s 1)))
3011 (math-read-radix digs 16)))
3013 ;; Fraction using "/" instead of ":"
3014 ((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s)
3015 (math-read-number (concat (math-match-substring s 1) ":"
3016 (math-match-substring s 2))))
3021 (defun math-read-radix (s r) ; [I X D]
3026 (while (and (< i (length s))
3027 (setq dig (math-read-radix-digit (elt s i)))
3029 (setq res (math-add (math-mul res r) dig)
3031 (and (= i (length s))
3036 ;;; Expression parsing.
3038 (defvar math-expr-data)
3040 (defun math-read-expr (math-exp-str)
3041 (let ((math-exp-pos 0)
3042 (math-exp-old-pos 0)
3043 (math-exp-keep-spaces nil)
3044 math-exp-token math-expr-data)
3045 (setq math-exp-str (math-read-preprocess-string math-exp-str))
3046 (while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
3047 (setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots"
3048 (substring math-exp-str (+ math-exp-token 2)))))
3049 (math-build-parse-table)
3051 (let ((val (catch 'syntax (math-read-expr-level 0))))
3053 (list 'error math-exp-old-pos val)
3054 (if (equal math-exp-token 'end)
3056 (list 'error math-exp-old-pos "Syntax error"))))))
3058 (defun math-read-plain-expr (exp-str &optional error-check)
3059 (let* ((calc-language nil)
3060 (math-expr-opers (math-standard-ops))
3061 (val (math-read-expr exp-str)))
3063 (eq (car-safe val) 'error)
3064 (error "%s: %s" (nth 2 val) exp-str))
3068 (defun math-read-string ()
3069 (let ((str (read-from-string (concat math-expr-data "\""))))
3070 (or (and (= (cdr str) (1+ (length math-expr-data)))
3071 (stringp (car str)))
3072 (throw 'syntax "Error in string constant"))
3074 (append '(vec) (car str) nil)))
3078 ;;; They said it couldn't be done...
3080 (defun math-read-big-expr (str)
3081 (and (> (length calc-left-label) 0)
3082 (string-match (concat "^" (regexp-quote calc-left-label)) str)
3083 (setq str (concat (substring str 0 (match-beginning 0))
3084 (substring str (match-end 0)))))
3085 (and (> (length calc-right-label) 0)
3086 (string-match (concat (regexp-quote calc-right-label) " *$") str)
3087 (setq str (concat (substring str 0 (match-beginning 0))
3088 (substring str (match-end 0)))))
3089 (if (string-match "\\\\[^ \n|]" str)
3090 (if (eq calc-language 'latex)
3091 (math-read-expr str)
3092 (let ((calc-language 'latex)
3093 (calc-language-option nil)
3094 (math-expr-opers (get 'latex 'math-oper-table))
3095 (math-expr-function-mapping (get 'latex 'math-function-table))
3096 (math-expr-variable-mapping (get 'latex 'math-variable-table)))
3097 (math-read-expr str)))
3098 (let ((math-read-big-lines nil)
3101 (math-read-big-err-msg nil)
3102 math-read-big-baseline math-read-big-h2
3104 (while (setq new-pos (string-match "\n" str pos))
3105 (setq math-read-big-lines
3106 (cons (substring str pos new-pos) math-read-big-lines)
3108 (setq math-read-big-lines
3109 (nreverse (cons (substring str pos) math-read-big-lines))
3110 p math-read-big-lines)
3112 (setq width (max width (length (car p)))
3114 (if (math-read-big-bigp math-read-big-lines)
3116 (math-read-big-rec 0 0 width (length math-read-big-lines)))
3117 math-read-big-err-msg
3118 '(error 0 "Syntax error"))
3119 (math-read-expr str)))))
3121 (defun math-read-big-bigp (math-read-big-lines)
3122 (and (cdr math-read-big-lines)
3125 (height (if (> (length (car math-read-big-lines)) 0) 1 0)))
3126 (while (and (cdr math-read-big-lines)
3129 (l1 (car math-read-big-lines))
3130 (l2 (nth 1 math-read-big-lines))
3131 (len (min (length l1) (length l2))))
3132 (if (> (length l2) 0)
3133 (setq height (1+ height)))
3134 (while (and (< i len)
3135 (or (memq (aref l1 i) '(?\ ?\- ?\_))
3136 (memq (aref l2 i) '(?\ ?\-))
3137 (and (memq (aref l1 i) '(?\| ?\,))
3138 (= (aref l2 i) (aref l1 i)))
3139 (and (eq (aref l1 i) ?\[)
3140 (eq (aref l2 i) ?\[)
3141 (let ((math-rb-h2 (length l1)))
3142 (setq j (math-read-big-balance
3147 (and (eq (aref l1 i) ?\[)
3148 (eq (aref l2 i) ?\[)
3151 (setq math-read-big-lines (cdr math-read-big-lines)
3153 (or (and (> height 1)
3154 (not (cdr math-read-big-lines)))
3157 ;;; Nontrivial "flat" formatting.
3159 (defvar math-format-hash-args nil)
3160 (defvar calc-can-abbrev-vectors nil)
3162 (defun math-format-flat-expr-fancy (a prec)
3164 ((eq (car a) 'incomplete)
3165 (format "<incomplete %s>" (nth 1 a)))
3167 (if (or calc-full-trail-vectors (not calc-can-abbrev-vectors)
3169 (concat "[" (math-format-flat-vector (cdr a) ", "
3170 (if (cdr (cdr a)) 0 1000)) "]")
3172 (math-format-flat-expr (nth 1 a) 0) ", "
3173 (math-format-flat-expr (nth 2 a) 0) ", "
3174 (math-format-flat-expr (nth 3 a) 0) ", ..., "
3175 (math-format-flat-expr (nth (1- (length a)) a) 0) "]")))
3177 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3178 (math-format-flat-expr (nth 2 a) 1000)
3180 (math-format-flat-expr (nth 3 a) 1000)
3181 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3183 (concat "<" (math-format-date a) ">"))
3184 ((and (eq (car a) 'calcFunc-lambda) (> (length a) 2))
3186 (ap calc-arg-values)
3187 (math-format-hash-args (if (= (length a) 3) 1 t)))
3188 (while (and (cdr p) (equal (car p) (car ap)))
3189 (setq p (cdr p) ap (cdr ap)))
3192 (concat (math-format-flat-vector
3193 (nreverse (cdr (reverse (cdr a)))) ", " 0)
3196 (math-format-flat-expr (nth (1- (length a)) a) 0)
3199 (or (and math-format-hash-args
3200 (let ((p calc-arg-values) (v 1))
3201 (while (and p (not (equal (car p) a)))
3202 (setq p (and (eq math-format-hash-args t) (cdr p))
3205 (if (eq math-format-hash-args 1)
3207 (format "#%d" v)))))
3208 (symbol-name (nth 1 a))))
3209 ((and (memq (car a) '(calcFunc-string calcFunc-bstring))
3211 (math-vectorp (nth 1 a))
3212 (math-vector-is-string (nth 1 a)))
3213 (concat (substring (symbol-name (car a)) 9)
3214 "(" (math-vector-to-string (nth 1 a) t) ")"))
3216 (let ((op (math-assq2 (car a) (math-standard-ops))))
3217 (cond ((and op (= (length a) 3))
3218 (if (> prec (min (nth 2 op) (nth 3 op)))
3219 (concat "(" (math-format-flat-expr a 0) ")")
3220 (let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op)))
3221 (rhs (math-format-flat-expr (nth 2 a) (nth 3 op))))
3223 (if (or (equal op "^") (equal op "_"))
3224 (if (= (aref lhs 0) ?-)
3225 (setq lhs (concat "(" lhs ")")))
3226 (setq op (concat " " op " ")))
3227 (concat lhs op rhs))))
3229 (concat "-" (math-format-flat-expr (nth 1 a) 1000)))
3231 (concat (math-remove-dashes
3232 (if (string-match "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
3233 (symbol-name (car a)))
3234 (math-match-substring (symbol-name (car a)) 1)
3235 (symbol-name (car a))))
3237 (math-format-flat-vector (cdr a) ", " 0)
3240 (defun math-format-flat-vector (vec sep prec)
3242 (let ((buf (math-format-flat-expr (car vec) prec)))
3243 (while (setq vec (cdr vec))
3244 (setq buf (concat buf sep (math-format-flat-expr (car vec) prec))))
3248 (defun math-format-nice-expr (x w)
3249 (cond ((and (eq (car-safe x) 'vec)
3251 (let ((ops '(vec calcFunc-assign calcFunc-condition
3252 calcFunc-schedule calcFunc-iterations
3254 (or (memq (car-safe (nth 1 x)) ops)
3255 (memq (car-safe (nth 2 x)) ops)
3256 (memq (car-safe (nth 3 x)) ops)
3257 calc-break-vectors)))
3258 (concat "[ " (math-format-flat-vector (cdr x) ",\n " 0) " ]"))
3260 (let ((str (math-format-flat-expr x 0))
3262 (or (string-match "\"" str)
3263 (while (<= (setq p (+ pos w)) (length str))
3264 (while (and (> (setq p (1- p)) pos)
3265 (not (= (aref str p) ? ))))
3267 (setq str (concat (substring str 0 p)
3271 (setq pos (+ pos w)))))
3274 (defun math-assq2 (v a)
3275 (while (and a (not (eq v (nth 1 (car a)))))
3279 (defun math-format-number-fancy (a prec)
3281 ((eq (car a) 'float) ; non-decimal radix
3282 (if (Math-integer-negp (nth 1 a))
3283 (concat "-" (math-format-number (math-neg a)))
3284 (let ((str (if (and calc-radix-formatter
3285 (not (memq calc-language '(c pascal))))
3286 (funcall calc-radix-formatter
3288 (math-format-radix-float a prec))
3289 (format "%d#%s" calc-number-radix
3290 (math-format-radix-float a prec)))))
3291 (if (and prec (> prec 191) (string-match "\\*" str))
3292 (concat "(" str ")")
3295 (setq a (math-adjust-fraction a))
3296 (if (> (length (car calc-frac-format)) 1)
3297 (if (Math-integer-negp (nth 1 a))
3298 (concat "-" (math-format-number (math-neg a)))
3299 (let ((q (math-idivmod (nth 1 a) (nth 2 a))))
3300 (concat (let ((calc-frac-format nil))
3301 (math-format-number (car q)))
3302 (substring (car calc-frac-format) 0 1)
3303 (let ((math-radix-explicit-format nil)
3304 (calc-frac-format nil))
3305 (math-format-number (cdr q)))
3306 (substring (car calc-frac-format) 1 2)
3307 (let ((math-radix-explicit-format nil)
3308 (calc-frac-format nil))
3309 (math-format-number (nth 2 a))))))
3310 (concat (let ((calc-frac-format nil))
3311 (math-format-number (nth 1 a)))
3312 (car calc-frac-format)
3313 (let ((math-radix-explicit-format nil)
3314 (calc-frac-format nil))
3315 (math-format-number (nth 2 a))))))
3317 (if (math-zerop (nth 2 a))
3318 (math-format-number (nth 1 a))
3319 (if (null calc-complex-format)
3320 (concat "(" (math-format-number (nth 1 a))
3321 ", " (math-format-number (nth 2 a)) ")")
3322 (if (math-zerop (nth 1 a))
3323 (if (math-equal-int (nth 2 a) 1)
3324 (symbol-name calc-complex-format)
3325 (if (math-equal-int (nth 2 a) -1)
3326 (concat "-" (symbol-name calc-complex-format))
3328 (math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec)
3329 (concat (math-format-number (nth 2 a)) " "
3330 (symbol-name calc-complex-format)))))
3332 (math-compose-expr (list (if (math-negp (nth 2 a)) '- '+)
3334 (list 'cplx 0 (math-abs (nth 2 a))))
3336 (concat (math-format-number (nth 1 a))
3337 (if (math-negp (nth 2 a)) " - " " + ")
3339 (list 'cplx 0 (math-abs (nth 2 a))))))))))
3340 ((eq (car a) 'polar)
3341 (concat "(" (math-format-number (nth 1 a))
3342 "; " (math-format-number (nth 2 a)) ")"))
3345 (concat "-" (math-format-number (math-neg a)))
3346 (let ((calc-number-radix 10)
3347 (calc-leading-zeros nil)
3348 (calc-group-digits nil))
3349 (format calc-hms-format
3350 (let ((calc-frac-format '(":" nil)))
3351 (math-format-number (nth 1 a)))
3352 (let ((calc-frac-format '(":" nil)))
3353 (math-format-number (nth 2 a)))
3354 (math-format-number (nth 3 a))))))
3356 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3357 (math-format-number (nth 2 a))
3359 (math-format-number (nth 3 a))
3360 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3362 (concat (math-format-number (nth 1 a))
3364 (math-format-number (nth 2 a))))
3366 (math-format-flat-expr a 0))
3367 (t (format "%s" a))))
3369 (defun math-adjust-fraction (a)
3370 (if (nth 1 calc-frac-format)
3372 (if (Math-integerp a) (setq a (list 'frac a 1)))
3373 (let ((g (math-quotient (nth 1 calc-frac-format)
3375 (nth 1 calc-frac-format)))))
3376 (list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g))))
3379 (defun math-format-bignum-fancy (a) ; [X L]
3380 (let ((str (cond ((= calc-number-radix 10)
3381 (math-format-bignum-decimal a))
3382 ((= calc-number-radix 2)
3383 (math-format-bignum-binary a))
3384 ((= calc-number-radix 8)
3385 (math-format-bignum-octal a))
3386 ((= calc-number-radix 16)
3387 (math-format-bignum-hex a))
3388 (t (math-format-bignum-radix a)))))
3389 (if calc-leading-zeros
3390 (let* ((calc-internal-prec 6)
3391 (digs (math-compute-max-digits (math-abs calc-word-size)
3395 (setq str (concat (make-string (- digs len) ?0) str)))))
3396 (if calc-group-digits
3397 (let ((i (length str))
3398 (g (if (integerp calc-group-digits)
3399 (math-abs calc-group-digits)
3400 (if (memq calc-number-radix '(2 16)) 4 3))))
3403 str (concat (substring str 0 i)
3405 (substring str i))))
3407 (if (and (/= calc-number-radix 10)
3408 math-radix-explicit-format)
3409 (if calc-radix-formatter
3410 (funcall calc-radix-formatter calc-number-radix str)
3411 (format "%d#%s" calc-number-radix str))
3415 (defun math-group-float (str) ; [X X]
3416 (let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str)))
3417 (g (if (integerp calc-group-digits) (math-abs calc-group-digits) 3))
3419 (if (and (integerp calc-group-digits) (< calc-group-digits 0))
3420 (while (< (setq i (+ (1+ i) g)) (length str))
3421 (setq str (concat (substring str 0 i)
3424 i (+ i (1- (length calc-group-char))))))
3428 str (concat (substring str 0 i)
3430 (substring str i))))
3433 ;;; Users can redefine this in their .emacs files.
3434 (defvar calc-keypad-user-menu nil
3435 "If non-nil, this describes an additional menu for calc-keypad.
3436 It should contain a list of three rows.
3437 Each row should be a list of six keys.
3438 Each key should be a list of a label string, plus a Calc command name spec.
3439 A command spec is a command name symbol, a keyboard macro string, a
3440 list containing a numeric entry string, or nil.
3441 A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.")
3443 (run-hooks 'calc-ext-load-hook)
3447 ;; arch-tag: 1814ba7f-a390-49dc-9e25-a5adc205e97e
3448 ;;; calc-ext.el ends here