1 ;;; calc-ext.el --- various extension functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2004 Free Software Foundation, Inc.
5 ;; Author: David Gillespie <daveg@synaptics.com>
6 ;; Maintainer: Jay Belanger <belanger@truman.edu>
8 ;; This file is part of GNU Emacs.
10 ;; GNU Emacs is distributed in the hope that it will be useful,
11 ;; but WITHOUT ANY WARRANTY. No author or distributor
12 ;; accepts responsibility to anyone for the consequences of using it
13 ;; or for whether it serves any particular purpose or works at all,
14 ;; unless he says so in writing. Refer to the GNU Emacs General Public
15 ;; License for full details.
17 ;; Everyone is granted permission to copy, modify and redistribute
18 ;; GNU Emacs, but only under the conditions described in the
19 ;; GNU Emacs General Public License. A copy of this license is
20 ;; supposed to have been given to you along with GNU Emacs so you
21 ;; can know your rights and responsibilities. It should be in a
22 ;; file named COPYING. Among other things, the copyright notice
23 ;; and this notice must be preserved on all copies.
32 (setq calc-extensions-loaded t
)
34 ;;; This function is the autoload "hook" to cause this file to be loaded.
36 (defun calc-extensions ()
37 "This function is part of the autoload linkage for parts of Calc."
40 ;;; Auto-load calc.el part, in case this part was loaded first.
41 (if (fboundp 'calc-dispatch
)
42 (and (eq (car-safe (symbol-function 'calc-dispatch
)) 'autoload
)
43 (load (nth 1 (symbol-function 'calc-dispatch
))))
45 (and (eq (car-safe (symbol-function 'calc
)) 'autoload
)
46 (load (nth 1 (symbol-function 'calc
))))
47 (error "Main part of Calc must be present in order to load this file")))
51 (defvar math-simplifying nil
)
52 (defvar math-living-dangerously nil
) ; true if unsafe simplifications are okay.
53 (defvar math-integrating nil
)
55 (defvar math-rewrite-selections nil
)
57 (defvar math-compose-level
0)
58 (defvar math-comp-selected nil
)
59 (defvar math-comp-tagged nil
)
60 (defvar math-comp-sel-hpos nil
)
61 (defvar math-comp-sel-vpos nil
)
62 (defvar math-comp-sel-cpos nil
)
63 (defvar math-compose-hash-args nil
)
65 ;;; The following was made a function so that it could be byte-compiled.
66 (defun calc-init-extensions ()
68 (define-key calc-mode-map
":" 'calc-fdiv
)
69 (define-key calc-mode-map
"\\" 'calc-idiv
)
70 (define-key calc-mode-map
"|" 'calc-concat
)
71 (define-key calc-mode-map
"!" 'calc-factorial
)
72 (define-key calc-mode-map
"C" 'calc-cos
)
73 (define-key calc-mode-map
"E" 'calc-exp
)
74 (define-key calc-mode-map
"H" 'calc-hyperbolic
)
75 (define-key calc-mode-map
"I" 'calc-inverse
)
76 (define-key calc-mode-map
"J" 'calc-conj
)
77 (define-key calc-mode-map
"L" 'calc-ln
)
78 (define-key calc-mode-map
"N" 'calc-eval-num
)
79 (define-key calc-mode-map
"P" 'calc-pi
)
80 (define-key calc-mode-map
"Q" 'calc-sqrt
)
81 (define-key calc-mode-map
"R" 'calc-round
)
82 (define-key calc-mode-map
"S" 'calc-sin
)
83 (define-key calc-mode-map
"T" 'calc-tan
)
84 (define-key calc-mode-map
"U" 'calc-undo
)
85 (define-key calc-mode-map
"X" 'calc-call-last-kbd-macro
)
86 (define-key calc-mode-map
"o" 'calc-realign
)
87 (define-key calc-mode-map
"p" 'calc-precision
)
88 (define-key calc-mode-map
"w" 'calc-why
)
89 (define-key calc-mode-map
"x" 'calc-execute-extended-command
)
90 (define-key calc-mode-map
"y" 'calc-copy-to-buffer
)
92 (define-key calc-mode-map
"(" 'calc-begin-complex
)
93 (define-key calc-mode-map
")" 'calc-end-complex
)
94 (define-key calc-mode-map
"[" 'calc-begin-vector
)
95 (define-key calc-mode-map
"]" 'calc-end-vector
)
96 (define-key calc-mode-map
"," 'calc-comma
)
97 (define-key calc-mode-map
";" 'calc-semi
)
98 (define-key calc-mode-map
"`" 'calc-edit
)
99 (define-key calc-mode-map
"=" 'calc-evaluate
)
100 (define-key calc-mode-map
"~" 'calc-num-prefix
)
101 (define-key calc-mode-map
"<" 'calc-scroll-left
)
102 (define-key calc-mode-map
">" 'calc-scroll-right
)
103 (define-key calc-mode-map
"{" 'calc-scroll-down
)
104 (define-key calc-mode-map
"}" 'calc-scroll-up
)
105 (define-key calc-mode-map
"\C-k" 'calc-kill
)
106 (define-key calc-mode-map
"\M-k" 'calc-copy-as-kill
)
107 (define-key calc-mode-map
"\C-w" 'calc-kill-region
)
108 (define-key calc-mode-map
"\M-w" 'calc-copy-region-as-kill
)
109 (define-key calc-mode-map
"\C-y" 'calc-yank
)
110 (define-key calc-mode-map
[mouse-2
] 'calc-yank
)
111 (define-key calc-mode-map
"\C-_" 'calc-undo
)
112 (define-key calc-mode-map
"\C-xu" 'calc-undo
)
113 (define-key calc-mode-map
"\M-\C-m" 'calc-last-args
)
115 (define-key calc-mode-map
"a" nil
)
116 (define-key calc-mode-map
"a?" 'calc-a-prefix-help
)
117 (define-key calc-mode-map
"aa" 'calc-apart
)
118 (define-key calc-mode-map
"ab" 'calc-substitute
)
119 (define-key calc-mode-map
"ac" 'calc-collect
)
120 (define-key calc-mode-map
"ad" 'calc-derivative
)
121 (define-key calc-mode-map
"ae" 'calc-simplify-extended
)
122 (define-key calc-mode-map
"af" 'calc-factor
)
123 (define-key calc-mode-map
"ag" 'calc-poly-gcd
)
124 (define-key calc-mode-map
"ai" 'calc-integral
)
125 (define-key calc-mode-map
"am" 'calc-match
)
126 (define-key calc-mode-map
"an" 'calc-normalize-rat
)
127 (define-key calc-mode-map
"ap" 'calc-poly-interp
)
128 (define-key calc-mode-map
"ar" 'calc-rewrite
)
129 (define-key calc-mode-map
"as" 'calc-simplify
)
130 (define-key calc-mode-map
"at" 'calc-taylor
)
131 (define-key calc-mode-map
"av" 'calc-alg-evaluate
)
132 (define-key calc-mode-map
"ax" 'calc-expand
)
133 (define-key calc-mode-map
"aA" 'calc-abs
)
134 (define-key calc-mode-map
"aF" 'calc-curve-fit
)
135 (define-key calc-mode-map
"aI" 'calc-num-integral
)
136 (define-key calc-mode-map
"aM" 'calc-map-equation
)
137 (define-key calc-mode-map
"aN" 'calc-find-minimum
)
138 (define-key calc-mode-map
"aP" 'calc-poly-roots
)
139 (define-key calc-mode-map
"aS" 'calc-solve-for
)
140 (define-key calc-mode-map
"aR" 'calc-find-root
)
141 (define-key calc-mode-map
"aT" 'calc-tabulate
)
142 (define-key calc-mode-map
"aX" 'calc-find-maximum
)
143 (define-key calc-mode-map
"a+" 'calc-summation
)
144 (define-key calc-mode-map
"a-" 'calc-alt-summation
)
145 (define-key calc-mode-map
"a*" 'calc-product
)
146 (define-key calc-mode-map
"a\\" 'calc-poly-div
)
147 (define-key calc-mode-map
"a%" 'calc-poly-rem
)
148 (define-key calc-mode-map
"a/" 'calc-poly-div-rem
)
149 (define-key calc-mode-map
"a=" 'calc-equal-to
)
150 (define-key calc-mode-map
"a#" 'calc-not-equal-to
)
151 (define-key calc-mode-map
"a<" 'calc-less-than
)
152 (define-key calc-mode-map
"a>" 'calc-greater-than
)
153 (define-key calc-mode-map
"a[" 'calc-less-equal
)
154 (define-key calc-mode-map
"a]" 'calc-greater-equal
)
155 (define-key calc-mode-map
"a." 'calc-remove-equal
)
156 (define-key calc-mode-map
"a{" 'calc-in-set
)
157 (define-key calc-mode-map
"a&" 'calc-logical-and
)
158 (define-key calc-mode-map
"a|" 'calc-logical-or
)
159 (define-key calc-mode-map
"a!" 'calc-logical-not
)
160 (define-key calc-mode-map
"a:" 'calc-logical-if
)
161 (define-key calc-mode-map
"a_" 'calc-subscript
)
162 (define-key calc-mode-map
"a\"" 'calc-expand-formula
)
164 (define-key calc-mode-map
"b" nil
)
165 (define-key calc-mode-map
"b?" 'calc-b-prefix-help
)
166 (define-key calc-mode-map
"ba" 'calc-and
)
167 (define-key calc-mode-map
"bc" 'calc-clip
)
168 (define-key calc-mode-map
"bd" 'calc-diff
)
169 (define-key calc-mode-map
"bl" 'calc-lshift-binary
)
170 (define-key calc-mode-map
"bn" 'calc-not
)
171 (define-key calc-mode-map
"bo" 'calc-or
)
172 (define-key calc-mode-map
"bp" 'calc-pack-bits
)
173 (define-key calc-mode-map
"br" 'calc-rshift-binary
)
174 (define-key calc-mode-map
"bt" 'calc-rotate-binary
)
175 (define-key calc-mode-map
"bu" 'calc-unpack-bits
)
176 (define-key calc-mode-map
"bw" 'calc-word-size
)
177 (define-key calc-mode-map
"bx" 'calc-xor
)
178 (define-key calc-mode-map
"bB" 'calc-log
)
179 (define-key calc-mode-map
"bD" 'calc-fin-ddb
)
180 (define-key calc-mode-map
"bF" 'calc-fin-fv
)
181 (define-key calc-mode-map
"bI" 'calc-fin-irr
)
182 (define-key calc-mode-map
"bL" 'calc-lshift-arith
)
183 (define-key calc-mode-map
"bM" 'calc-fin-pmt
)
184 (define-key calc-mode-map
"bN" 'calc-fin-npv
)
185 (define-key calc-mode-map
"bP" 'calc-fin-pv
)
186 (define-key calc-mode-map
"bR" 'calc-rshift-arith
)
187 (define-key calc-mode-map
"bS" 'calc-fin-sln
)
188 (define-key calc-mode-map
"bT" 'calc-fin-rate
)
189 (define-key calc-mode-map
"bY" 'calc-fin-syd
)
190 (define-key calc-mode-map
"b#" 'calc-fin-nper
)
191 (define-key calc-mode-map
"b%" 'calc-percent-change
)
193 (define-key calc-mode-map
"c" nil
)
194 (define-key calc-mode-map
"c?" 'calc-c-prefix-help
)
195 (define-key calc-mode-map
"cc" 'calc-clean
)
196 (define-key calc-mode-map
"cd" 'calc-to-degrees
)
197 (define-key calc-mode-map
"cf" 'calc-float
)
198 (define-key calc-mode-map
"ch" 'calc-to-hms
)
199 (define-key calc-mode-map
"cp" 'calc-polar
)
200 (define-key calc-mode-map
"cr" 'calc-to-radians
)
201 (define-key calc-mode-map
"cC" 'calc-cos
)
202 (define-key calc-mode-map
"cF" 'calc-fraction
)
203 (define-key calc-mode-map
"c%" 'calc-convert-percent
)
205 (define-key calc-mode-map
"d" nil
)
206 (define-key calc-mode-map
"d?" 'calc-d-prefix-help
)
207 (define-key calc-mode-map
"d0" 'calc-decimal-radix
)
208 (define-key calc-mode-map
"d2" 'calc-binary-radix
)
209 (define-key calc-mode-map
"d6" 'calc-hex-radix
)
210 (define-key calc-mode-map
"d8" 'calc-octal-radix
)
211 (define-key calc-mode-map
"db" 'calc-line-breaking
)
212 (define-key calc-mode-map
"dc" 'calc-complex-notation
)
213 (define-key calc-mode-map
"dd" 'calc-date-notation
)
214 (define-key calc-mode-map
"de" 'calc-eng-notation
)
215 (define-key calc-mode-map
"df" 'calc-fix-notation
)
216 (define-key calc-mode-map
"dg" 'calc-group-digits
)
217 (define-key calc-mode-map
"dh" 'calc-hms-notation
)
218 (define-key calc-mode-map
"di" 'calc-i-notation
)
219 (define-key calc-mode-map
"dj" 'calc-j-notation
)
220 (define-key calc-mode-map
"dl" 'calc-line-numbering
)
221 (define-key calc-mode-map
"dn" 'calc-normal-notation
)
222 (define-key calc-mode-map
"do" 'calc-over-notation
)
223 (define-key calc-mode-map
"dp" 'calc-show-plain
)
224 (define-key calc-mode-map
"dr" 'calc-radix
)
225 (define-key calc-mode-map
"ds" 'calc-sci-notation
)
226 (define-key calc-mode-map
"dt" 'calc-truncate-stack
)
227 (define-key calc-mode-map
"dw" 'calc-auto-why
)
228 (define-key calc-mode-map
"dz" 'calc-leading-zeros
)
229 (define-key calc-mode-map
"dB" 'calc-big-language
)
230 (define-key calc-mode-map
"dD" 'calc-redo
)
231 (define-key calc-mode-map
"dC" 'calc-c-language
)
232 (define-key calc-mode-map
"dE" 'calc-eqn-language
)
233 (define-key calc-mode-map
"dF" 'calc-fortran-language
)
234 (define-key calc-mode-map
"dM" 'calc-mathematica-language
)
235 (define-key calc-mode-map
"dN" 'calc-normal-language
)
236 (define-key calc-mode-map
"dO" 'calc-flat-language
)
237 (define-key calc-mode-map
"dP" 'calc-pascal-language
)
238 (define-key calc-mode-map
"dT" 'calc-tex-language
)
239 (define-key calc-mode-map
"dU" 'calc-unformatted-language
)
240 (define-key calc-mode-map
"dW" 'calc-maple-language
)
241 (define-key calc-mode-map
"d[" 'calc-truncate-up
)
242 (define-key calc-mode-map
"d]" 'calc-truncate-down
)
243 (define-key calc-mode-map
"d." 'calc-point-char
)
244 (define-key calc-mode-map
"d," 'calc-group-char
)
245 (define-key calc-mode-map
"d\"" 'calc-display-strings
)
246 (define-key calc-mode-map
"d<" 'calc-left-justify
)
247 (define-key calc-mode-map
"d=" 'calc-center-justify
)
248 (define-key calc-mode-map
"d>" 'calc-right-justify
)
249 (define-key calc-mode-map
"d{" 'calc-left-label
)
250 (define-key calc-mode-map
"d}" 'calc-right-label
)
251 (define-key calc-mode-map
"d'" 'calc-display-raw
)
252 (define-key calc-mode-map
"d " 'calc-refresh
)
253 (define-key calc-mode-map
"d\r" 'calc-refresh-top
)
254 (define-key calc-mode-map
"d@" 'calc-toggle-banner
)
256 (define-key calc-mode-map
"f" nil
)
257 (define-key calc-mode-map
"f?" 'calc-f-prefix-help
)
258 (define-key calc-mode-map
"fb" 'calc-beta
)
259 (define-key calc-mode-map
"fe" 'calc-erf
)
260 (define-key calc-mode-map
"fg" 'calc-gamma
)
261 (define-key calc-mode-map
"fh" 'calc-hypot
)
262 (define-key calc-mode-map
"fi" 'calc-im
)
263 (define-key calc-mode-map
"fj" 'calc-bessel-J
)
264 (define-key calc-mode-map
"fn" 'calc-min
)
265 (define-key calc-mode-map
"fr" 'calc-re
)
266 (define-key calc-mode-map
"fs" 'calc-sign
)
267 (define-key calc-mode-map
"fx" 'calc-max
)
268 (define-key calc-mode-map
"fy" 'calc-bessel-Y
)
269 (define-key calc-mode-map
"fA" 'calc-abssqr
)
270 (define-key calc-mode-map
"fB" 'calc-inc-beta
)
271 (define-key calc-mode-map
"fE" 'calc-expm1
)
272 (define-key calc-mode-map
"fF" 'calc-floor
)
273 (define-key calc-mode-map
"fG" 'calc-inc-gamma
)
274 (define-key calc-mode-map
"fI" 'calc-ilog
)
275 (define-key calc-mode-map
"fL" 'calc-lnp1
)
276 (define-key calc-mode-map
"fM" 'calc-mant-part
)
277 (define-key calc-mode-map
"fQ" 'calc-isqrt
)
278 (define-key calc-mode-map
"fS" 'calc-scale-float
)
279 (define-key calc-mode-map
"fT" 'calc-arctan2
)
280 (define-key calc-mode-map
"fX" 'calc-xpon-part
)
281 (define-key calc-mode-map
"f[" 'calc-decrement
)
282 (define-key calc-mode-map
"f]" 'calc-increment
)
284 (define-key calc-mode-map
"g" nil
)
285 (define-key calc-mode-map
"g?" 'calc-g-prefix-help
)
286 (define-key calc-mode-map
"ga" 'calc-graph-add
)
287 (define-key calc-mode-map
"gb" 'calc-graph-border
)
288 (define-key calc-mode-map
"gc" 'calc-graph-clear
)
289 (define-key calc-mode-map
"gd" 'calc-graph-delete
)
290 (define-key calc-mode-map
"gf" 'calc-graph-fast
)
291 (define-key calc-mode-map
"gg" 'calc-graph-grid
)
292 (define-key calc-mode-map
"gh" 'calc-graph-header
)
293 (define-key calc-mode-map
"gk" 'calc-graph-key
)
294 (define-key calc-mode-map
"gj" 'calc-graph-juggle
)
295 (define-key calc-mode-map
"gl" 'calc-graph-log-x
)
296 (define-key calc-mode-map
"gn" 'calc-graph-name
)
297 (define-key calc-mode-map
"gp" 'calc-graph-plot
)
298 (define-key calc-mode-map
"gq" 'calc-graph-quit
)
299 (define-key calc-mode-map
"gr" 'calc-graph-range-x
)
300 (define-key calc-mode-map
"gs" 'calc-graph-line-style
)
301 (define-key calc-mode-map
"gt" 'calc-graph-title-x
)
302 (define-key calc-mode-map
"gv" 'calc-graph-view-commands
)
303 (define-key calc-mode-map
"gx" 'calc-graph-display
)
304 (define-key calc-mode-map
"gz" 'calc-graph-zero-x
)
305 (define-key calc-mode-map
"gA" 'calc-graph-add-3d
)
306 (define-key calc-mode-map
"gC" 'calc-graph-command
)
307 (define-key calc-mode-map
"gD" 'calc-graph-device
)
308 (define-key calc-mode-map
"gF" 'calc-graph-fast-3d
)
309 (define-key calc-mode-map
"gG" 'calc-argument
)
310 (define-key calc-mode-map
"gH" 'calc-graph-hide
)
311 (define-key calc-mode-map
"gK" 'calc-graph-kill
)
312 (define-key calc-mode-map
"gL" 'calc-graph-log-y
)
313 (define-key calc-mode-map
"gN" 'calc-graph-num-points
)
314 (define-key calc-mode-map
"gO" 'calc-graph-output
)
315 (define-key calc-mode-map
"gP" 'calc-graph-print
)
316 (define-key calc-mode-map
"gR" 'calc-graph-range-y
)
317 (define-key calc-mode-map
"gS" 'calc-graph-point-style
)
318 (define-key calc-mode-map
"gT" 'calc-graph-title-y
)
319 (define-key calc-mode-map
"gV" 'calc-graph-view-trail
)
320 (define-key calc-mode-map
"gX" 'calc-graph-geometry
)
321 (define-key calc-mode-map
"gZ" 'calc-graph-zero-y
)
322 (define-key calc-mode-map
"g\C-l" 'calc-graph-log-z
)
323 (define-key calc-mode-map
"g\C-r" 'calc-graph-range-z
)
324 (define-key calc-mode-map
"g\C-t" 'calc-graph-title-z
)
326 (define-key calc-mode-map
"h" 'calc-help-prefix
)
328 (define-key calc-mode-map
"j" nil
)
329 (define-key calc-mode-map
"j?" 'calc-j-prefix-help
)
330 (define-key calc-mode-map
"ja" 'calc-select-additional
)
331 (define-key calc-mode-map
"jb" 'calc-break-selections
)
332 (define-key calc-mode-map
"jc" 'calc-clear-selections
)
333 (define-key calc-mode-map
"jd" 'calc-show-selections
)
334 (define-key calc-mode-map
"je" 'calc-enable-selections
)
335 (define-key calc-mode-map
"jl" 'calc-select-less
)
336 (define-key calc-mode-map
"jm" 'calc-select-more
)
337 (define-key calc-mode-map
"jn" 'calc-select-next
)
338 (define-key calc-mode-map
"jo" 'calc-select-once
)
339 (define-key calc-mode-map
"jp" 'calc-select-previous
)
340 (define-key calc-mode-map
"jr" 'calc-rewrite-selection
)
341 (define-key calc-mode-map
"js" 'calc-select-here
)
342 (define-key calc-mode-map
"jv" 'calc-sel-evaluate
)
343 (define-key calc-mode-map
"ju" 'calc-unselect
)
344 (define-key calc-mode-map
"jC" 'calc-sel-commute
)
345 (define-key calc-mode-map
"jD" 'calc-sel-distribute
)
346 (define-key calc-mode-map
"jE" 'calc-sel-jump-equals
)
347 (define-key calc-mode-map
"jI" 'calc-sel-isolate
)
348 (define-key calc-mode-map
"jJ" 'calc-conj
)
349 (define-key calc-mode-map
"jL" 'calc-commute-left
)
350 (define-key calc-mode-map
"jM" 'calc-sel-merge
)
351 (define-key calc-mode-map
"jN" 'calc-sel-negate
)
352 (define-key calc-mode-map
"jO" 'calc-select-once-maybe
)
353 (define-key calc-mode-map
"jR" 'calc-commute-right
)
354 (define-key calc-mode-map
"jS" 'calc-select-here-maybe
)
355 (define-key calc-mode-map
"jU" 'calc-sel-unpack
)
356 (define-key calc-mode-map
"j&" 'calc-sel-invert
)
357 (define-key calc-mode-map
"j\r" 'calc-copy-selection
)
358 (define-key calc-mode-map
"j\n" 'calc-copy-selection
)
359 (define-key calc-mode-map
"j\010" 'calc-del-selection
)
360 (define-key calc-mode-map
"j\177" 'calc-del-selection
)
361 (define-key calc-mode-map
"j'" 'calc-enter-selection
)
362 (define-key calc-mode-map
"j`" 'calc-edit-selection
)
363 (define-key calc-mode-map
"j+" 'calc-sel-add-both-sides
)
364 (define-key calc-mode-map
"j-" 'calc-sel-sub-both-sides
)
365 (define-key calc-mode-map
"j*" 'calc-sel-mult-both-sides
)
366 (define-key calc-mode-map
"j/" 'calc-sel-div-both-sides
)
367 (define-key calc-mode-map
"j\"" 'calc-sel-expand-formula
)
369 (define-key calc-mode-map
"k" nil
)
370 (define-key calc-mode-map
"k?" 'calc-k-prefix-help
)
371 (define-key calc-mode-map
"ka" 'calc-random-again
)
372 (define-key calc-mode-map
"kb" 'calc-bernoulli-number
)
373 (define-key calc-mode-map
"kc" 'calc-choose
)
374 (define-key calc-mode-map
"kd" 'calc-double-factorial
)
375 (define-key calc-mode-map
"ke" 'calc-euler-number
)
376 (define-key calc-mode-map
"kf" 'calc-prime-factors
)
377 (define-key calc-mode-map
"kg" 'calc-gcd
)
378 (define-key calc-mode-map
"kh" 'calc-shuffle
)
379 (define-key calc-mode-map
"kl" 'calc-lcm
)
380 (define-key calc-mode-map
"km" 'calc-moebius
)
381 (define-key calc-mode-map
"kn" 'calc-next-prime
)
382 (define-key calc-mode-map
"kp" 'calc-prime-test
)
383 (define-key calc-mode-map
"kr" 'calc-random
)
384 (define-key calc-mode-map
"ks" 'calc-stirling-number
)
385 (define-key calc-mode-map
"kt" 'calc-totient
)
386 (define-key calc-mode-map
"kB" 'calc-utpb
)
387 (define-key calc-mode-map
"kC" 'calc-utpc
)
388 (define-key calc-mode-map
"kE" 'calc-extended-gcd
)
389 (define-key calc-mode-map
"kF" 'calc-utpf
)
390 (define-key calc-mode-map
"kK" 'calc-keep-args
)
391 (define-key calc-mode-map
"kN" 'calc-utpn
)
392 (define-key calc-mode-map
"kP" 'calc-utpp
)
393 (define-key calc-mode-map
"kT" 'calc-utpt
)
395 (define-key calc-mode-map
"m" nil
)
396 (define-key calc-mode-map
"m?" 'calc-m-prefix-help
)
397 (define-key calc-mode-map
"ma" 'calc-algebraic-mode
)
398 (define-key calc-mode-map
"md" 'calc-degrees-mode
)
399 (define-key calc-mode-map
"mf" 'calc-frac-mode
)
400 (define-key calc-mode-map
"mg" 'calc-get-modes
)
401 (define-key calc-mode-map
"mh" 'calc-hms-mode
)
402 (define-key calc-mode-map
"mi" 'calc-infinite-mode
)
403 (define-key calc-mode-map
"mm" 'calc-save-modes
)
404 (define-key calc-mode-map
"mp" 'calc-polar-mode
)
405 (define-key calc-mode-map
"mr" 'calc-radians-mode
)
406 (define-key calc-mode-map
"ms" 'calc-symbolic-mode
)
407 (define-key calc-mode-map
"mt" 'calc-total-algebraic-mode
)
408 (define-key calc-mode-map
"\emt" 'calc-total-algebraic-mode
)
409 (define-key calc-mode-map
"\em\et" 'calc-total-algebraic-mode
)
410 (define-key calc-mode-map
"mv" 'calc-matrix-mode
)
411 (define-key calc-mode-map
"mw" 'calc-working
)
412 (define-key calc-mode-map
"mx" 'calc-always-load-extensions
)
413 (define-key calc-mode-map
"mA" 'calc-alg-simplify-mode
)
414 (define-key calc-mode-map
"mB" 'calc-bin-simplify-mode
)
415 (define-key calc-mode-map
"mC" 'calc-auto-recompute
)
416 (define-key calc-mode-map
"mD" 'calc-default-simplify-mode
)
417 (define-key calc-mode-map
"mE" 'calc-ext-simplify-mode
)
418 (define-key calc-mode-map
"mF" 'calc-settings-file-name
)
419 (define-key calc-mode-map
"mM" 'calc-more-recursion-depth
)
420 (define-key calc-mode-map
"mN" 'calc-num-simplify-mode
)
421 (define-key calc-mode-map
"mO" 'calc-no-simplify-mode
)
422 (define-key calc-mode-map
"mR" 'calc-mode-record-mode
)
423 (define-key calc-mode-map
"mS" 'calc-shift-prefix
)
424 (define-key calc-mode-map
"mU" 'calc-units-simplify-mode
)
425 (define-key calc-mode-map
"mX" 'calc-load-everything
)
427 (define-key calc-mode-map
"r" nil
)
428 (define-key calc-mode-map
"r?" 'calc-r-prefix-help
)
430 (define-key calc-mode-map
"s" nil
)
431 (define-key calc-mode-map
"s?" 'calc-s-prefix-help
)
432 (define-key calc-mode-map
"sc" 'calc-copy-variable
)
433 (define-key calc-mode-map
"sd" 'calc-declare-variable
)
434 (define-key calc-mode-map
"se" 'calc-edit-variable
)
435 (define-key calc-mode-map
"si" 'calc-insert-variables
)
436 (define-key calc-mode-map
"sl" 'calc-let
)
437 (define-key calc-mode-map
"sm" 'calc-store-map
)
438 (define-key calc-mode-map
"sn" 'calc-store-neg
)
439 (define-key calc-mode-map
"sp" 'calc-permanent-variable
)
440 (define-key calc-mode-map
"sr" 'calc-recall
)
441 (define-key calc-mode-map
"ss" 'calc-store
)
442 (define-key calc-mode-map
"st" 'calc-store-into
)
443 (define-key calc-mode-map
"su" 'calc-unstore
)
444 (define-key calc-mode-map
"sx" 'calc-store-exchange
)
445 (define-key calc-mode-map
"sA" 'calc-edit-AlgSimpRules
)
446 (define-key calc-mode-map
"sD" 'calc-edit-Decls
)
447 (define-key calc-mode-map
"sE" 'calc-edit-EvalRules
)
448 (define-key calc-mode-map
"sF" 'calc-edit-FitRules
)
449 (define-key calc-mode-map
"sG" 'calc-edit-GenCount
)
450 (define-key calc-mode-map
"sH" 'calc-edit-Holidays
)
451 (define-key calc-mode-map
"sI" 'calc-edit-IntegLimit
)
452 (define-key calc-mode-map
"sL" 'calc-edit-LineStyles
)
453 (define-key calc-mode-map
"sP" 'calc-edit-PointStyles
)
454 (define-key calc-mode-map
"sR" 'calc-edit-PlotRejects
)
455 (define-key calc-mode-map
"sS" 'calc-sin
)
456 (define-key calc-mode-map
"sT" 'calc-edit-TimeZone
)
457 (define-key calc-mode-map
"sU" 'calc-edit-Units
)
458 (define-key calc-mode-map
"sX" 'calc-edit-ExtSimpRules
)
459 (define-key calc-mode-map
"s+" 'calc-store-plus
)
460 (define-key calc-mode-map
"s-" 'calc-store-minus
)
461 (define-key calc-mode-map
"s*" 'calc-store-times
)
462 (define-key calc-mode-map
"s/" 'calc-store-div
)
463 (define-key calc-mode-map
"s^" 'calc-store-power
)
464 (define-key calc-mode-map
"s|" 'calc-store-concat
)
465 (define-key calc-mode-map
"s&" 'calc-store-inv
)
466 (define-key calc-mode-map
"s[" 'calc-store-decr
)
467 (define-key calc-mode-map
"s]" 'calc-store-incr
)
468 (define-key calc-mode-map
"s:" 'calc-assign
)
469 (define-key calc-mode-map
"s=" 'calc-evalto
)
471 (define-key calc-mode-map
"t" nil
)
472 (define-key calc-mode-map
"t?" 'calc-t-prefix-help
)
473 (define-key calc-mode-map
"tb" 'calc-trail-backward
)
474 (define-key calc-mode-map
"td" 'calc-trail-display
)
475 (define-key calc-mode-map
"tf" 'calc-trail-forward
)
476 (define-key calc-mode-map
"th" 'calc-trail-here
)
477 (define-key calc-mode-map
"ti" 'calc-trail-in
)
478 (define-key calc-mode-map
"tk" 'calc-trail-kill
)
479 (define-key calc-mode-map
"tm" 'calc-trail-marker
)
480 (define-key calc-mode-map
"tn" 'calc-trail-next
)
481 (define-key calc-mode-map
"to" 'calc-trail-out
)
482 (define-key calc-mode-map
"tp" 'calc-trail-previous
)
483 (define-key calc-mode-map
"tr" 'calc-trail-isearch-backward
)
484 (define-key calc-mode-map
"ts" 'calc-trail-isearch-forward
)
485 (define-key calc-mode-map
"ty" 'calc-trail-yank
)
486 (define-key calc-mode-map
"t[" 'calc-trail-first
)
487 (define-key calc-mode-map
"t]" 'calc-trail-last
)
488 (define-key calc-mode-map
"t<" 'calc-trail-scroll-left
)
489 (define-key calc-mode-map
"t>" 'calc-trail-scroll-right
)
490 (define-key calc-mode-map
"t{" 'calc-trail-backward
)
491 (define-key calc-mode-map
"t}" 'calc-trail-forward
)
492 (define-key calc-mode-map
"t." 'calc-full-trail-vectors
)
493 (define-key calc-mode-map
"tC" 'calc-convert-time-zones
)
494 (define-key calc-mode-map
"tD" 'calc-date
)
495 (define-key calc-mode-map
"tI" 'calc-inc-month
)
496 (define-key calc-mode-map
"tJ" 'calc-julian
)
497 (define-key calc-mode-map
"tM" 'calc-new-month
)
498 (define-key calc-mode-map
"tN" 'calc-now
)
499 (define-key calc-mode-map
"tP" 'calc-date-part
)
500 (define-key calc-mode-map
"tT" 'calc-tan
)
501 (define-key calc-mode-map
"tU" 'calc-unix-time
)
502 (define-key calc-mode-map
"tW" 'calc-new-week
)
503 (define-key calc-mode-map
"tY" 'calc-new-year
)
504 (define-key calc-mode-map
"tZ" 'calc-time-zone
)
505 (define-key calc-mode-map
"t+" 'calc-business-days-plus
)
506 (define-key calc-mode-map
"t-" 'calc-business-days-minus
)
508 (define-key calc-mode-map
"u" 'nil
)
509 (define-key calc-mode-map
"u?" 'calc-u-prefix-help
)
510 (define-key calc-mode-map
"ua" 'calc-autorange-units
)
511 (define-key calc-mode-map
"ub" 'calc-base-units
)
512 (define-key calc-mode-map
"uc" 'calc-convert-units
)
513 (define-key calc-mode-map
"ud" 'calc-define-unit
)
514 (define-key calc-mode-map
"ue" 'calc-explain-units
)
515 (define-key calc-mode-map
"ug" 'calc-get-unit-definition
)
516 (define-key calc-mode-map
"up" 'calc-permanent-units
)
517 (define-key calc-mode-map
"ur" 'calc-remove-units
)
518 (define-key calc-mode-map
"us" 'calc-simplify-units
)
519 (define-key calc-mode-map
"ut" 'calc-convert-temperature
)
520 (define-key calc-mode-map
"uu" 'calc-undefine-unit
)
521 (define-key calc-mode-map
"uv" 'calc-enter-units-table
)
522 (define-key calc-mode-map
"ux" 'calc-extract-units
)
523 (define-key calc-mode-map
"uV" 'calc-view-units-table
)
524 (define-key calc-mode-map
"uC" 'calc-vector-covariance
)
525 (define-key calc-mode-map
"uG" 'calc-vector-geometric-mean
)
526 (define-key calc-mode-map
"uM" 'calc-vector-mean
)
527 (define-key calc-mode-map
"uN" 'calc-vector-min
)
528 (define-key calc-mode-map
"uS" 'calc-vector-sdev
)
529 (define-key calc-mode-map
"uU" 'calc-undo
)
530 (define-key calc-mode-map
"uX" 'calc-vector-max
)
531 (define-key calc-mode-map
"u#" 'calc-vector-count
)
532 (define-key calc-mode-map
"u+" 'calc-vector-sum
)
533 (define-key calc-mode-map
"u*" 'calc-vector-product
)
535 (define-key calc-mode-map
"v" 'nil
)
536 (define-key calc-mode-map
"v?" 'calc-v-prefix-help
)
537 (define-key calc-mode-map
"va" 'calc-arrange-vector
)
538 (define-key calc-mode-map
"vb" 'calc-build-vector
)
539 (define-key calc-mode-map
"vc" 'calc-mcol
)
540 (define-key calc-mode-map
"vd" 'calc-diag
)
541 (define-key calc-mode-map
"ve" 'calc-expand-vector
)
542 (define-key calc-mode-map
"vf" 'calc-vector-find
)
543 (define-key calc-mode-map
"vh" 'calc-head
)
544 (define-key calc-mode-map
"vi" 'calc-ident
)
545 (define-key calc-mode-map
"vk" 'calc-cons
)
546 (define-key calc-mode-map
"vl" 'calc-vlength
)
547 (define-key calc-mode-map
"vm" 'calc-mask-vector
)
548 (define-key calc-mode-map
"vn" 'calc-rnorm
)
549 (define-key calc-mode-map
"vp" 'calc-pack
)
550 (define-key calc-mode-map
"vr" 'calc-mrow
)
551 (define-key calc-mode-map
"vs" 'calc-subvector
)
552 (define-key calc-mode-map
"vt" 'calc-transpose
)
553 (define-key calc-mode-map
"vu" 'calc-unpack
)
554 (define-key calc-mode-map
"vv" 'calc-reverse-vector
)
555 (define-key calc-mode-map
"vx" 'calc-index
)
556 (define-key calc-mode-map
"vA" 'calc-apply
)
557 (define-key calc-mode-map
"vC" 'calc-cross
)
558 (define-key calc-mode-map
"vD" 'calc-mdet
)
559 (define-key calc-mode-map
"vE" 'calc-set-enumerate
)
560 (define-key calc-mode-map
"vF" 'calc-set-floor
)
561 (define-key calc-mode-map
"vG" 'calc-grade
)
562 (define-key calc-mode-map
"vH" 'calc-histogram
)
563 (define-key calc-mode-map
"vI" 'calc-inner-product
)
564 (define-key calc-mode-map
"vJ" 'calc-conj-transpose
)
565 (define-key calc-mode-map
"vL" 'calc-mlud
)
566 (define-key calc-mode-map
"vM" 'calc-map
)
567 (define-key calc-mode-map
"vN" 'calc-cnorm
)
568 (define-key calc-mode-map
"vO" 'calc-outer-product
)
569 (define-key calc-mode-map
"vR" 'calc-reduce
)
570 (define-key calc-mode-map
"vS" 'calc-sort
)
571 (define-key calc-mode-map
"vT" 'calc-mtrace
)
572 (define-key calc-mode-map
"vU" 'calc-accumulate
)
573 (define-key calc-mode-map
"vV" 'calc-set-union
)
574 (define-key calc-mode-map
"vX" 'calc-set-xor
)
575 (define-key calc-mode-map
"v^" 'calc-set-intersect
)
576 (define-key calc-mode-map
"v-" 'calc-set-difference
)
577 (define-key calc-mode-map
"v~" 'calc-set-complement
)
578 (define-key calc-mode-map
"v:" 'calc-set-span
)
579 (define-key calc-mode-map
"v#" 'calc-set-cardinality
)
580 (define-key calc-mode-map
"v+" 'calc-remove-duplicates
)
581 (define-key calc-mode-map
"v&" 'calc-inv
)
582 (define-key calc-mode-map
"v<" 'calc-matrix-left-justify
)
583 (define-key calc-mode-map
"v=" 'calc-matrix-center-justify
)
584 (define-key calc-mode-map
"v>" 'calc-matrix-right-justify
)
585 (define-key calc-mode-map
"v." 'calc-full-vectors
)
586 (define-key calc-mode-map
"v/" 'calc-break-vectors
)
587 (define-key calc-mode-map
"v," 'calc-vector-commas
)
588 (define-key calc-mode-map
"v[" 'calc-vector-brackets
)
589 (define-key calc-mode-map
"v]" 'calc-matrix-brackets
)
590 (define-key calc-mode-map
"v{" 'calc-vector-braces
)
591 (define-key calc-mode-map
"v}" 'calc-matrix-brackets
)
592 (define-key calc-mode-map
"v(" 'calc-vector-parens
)
593 (define-key calc-mode-map
"v)" 'calc-matrix-brackets
)
594 ;; We can't rely on the automatic upper->lower conversion because
595 ;; in the global map V is explicitly bound, so we need to bind it
596 ;; explicitly as well :-( --stef
597 (define-key calc-mode-map
"V" (lookup-key calc-mode-map
"v"))
599 (define-key calc-mode-map
"z" 'nil
)
600 (define-key calc-mode-map
"z?" 'calc-z-prefix-help
)
602 (define-key calc-mode-map
"Z" 'nil
)
603 (define-key calc-mode-map
"Z?" 'calc-shift-Z-prefix-help
)
604 (define-key calc-mode-map
"ZC" 'calc-user-define-composition
)
605 (define-key calc-mode-map
"ZD" 'calc-user-define
)
606 (define-key calc-mode-map
"ZE" 'calc-user-define-edit
)
607 (define-key calc-mode-map
"ZF" 'calc-user-define-formula
)
608 (define-key calc-mode-map
"ZG" 'calc-get-user-defn
)
609 (define-key calc-mode-map
"ZI" 'calc-user-define-invocation
)
610 (define-key calc-mode-map
"ZK" 'calc-user-define-kbd-macro
)
611 (define-key calc-mode-map
"ZP" 'calc-user-define-permanent
)
612 (define-key calc-mode-map
"ZS" 'calc-edit-user-syntax
)
613 (define-key calc-mode-map
"ZT" 'calc-timing
)
614 (define-key calc-mode-map
"ZU" 'calc-user-undefine
)
615 (define-key calc-mode-map
"Z[" 'calc-kbd-if
)
616 (define-key calc-mode-map
"Z:" 'calc-kbd-else
)
617 (define-key calc-mode-map
"Z|" 'calc-kbd-else-if
)
618 (define-key calc-mode-map
"Z]" 'calc-kbd-end-if
)
619 (define-key calc-mode-map
"Z<" 'calc-kbd-repeat
)
620 (define-key calc-mode-map
"Z>" 'calc-kbd-end-repeat
)
621 (define-key calc-mode-map
"Z(" 'calc-kbd-for
)
622 (define-key calc-mode-map
"Z)" 'calc-kbd-end-for
)
623 (define-key calc-mode-map
"Z{" 'calc-kbd-loop
)
624 (define-key calc-mode-map
"Z}" 'calc-kbd-end-loop
)
625 (define-key calc-mode-map
"Z/" 'calc-kbd-break
)
626 (define-key calc-mode-map
"Z`" 'calc-kbd-push
)
627 (define-key calc-mode-map
"Z'" 'calc-kbd-pop
)
628 (define-key calc-mode-map
"Z=" 'calc-kbd-report
)
629 (define-key calc-mode-map
"Z#" 'calc-kbd-query
)
635 (define-key calc-mode-map
(format "c%c" x
) 'calc-clean-num
)
636 (define-key calc-mode-map
(format "j%c" x
) 'calc-select-part
)
637 (define-key calc-mode-map
(format "r%c" x
) 'calc-recall-quick
)
638 (define-key calc-mode-map
(format "s%c" x
) 'calc-store-quick
)
639 (define-key calc-mode-map
(format "t%c" x
) 'calc-store-into-quick
)
640 (define-key calc-mode-map
(format "u%c" x
) 'calc-quick-units
)))
645 (if (eq (car-safe (aref (nth 1 calc-mode-map
) i
)) 'keymap
)
646 (aset (nth 1 calc-mode-map
) i
647 (cons 'keymap
(cons (cons ?\e
(aref (nth 1 calc-mode-map
) i
))
648 (cdr (aref (nth 1 calc-mode-map
) i
))))))
651 (setq calc-alg-map
(copy-keymap calc-mode-map
)
652 calc-alg-esc-map
(copy-keymap esc-map
))
655 (or (memq i
'(?
' ?
` ?
= ??
))
656 (aset (nth 1 calc-alg-map
) i
'calc-auto-algebraic-entry
))
657 (or (memq i
'(?
# ?x ?
0 ?
1 ?
2 ?
3 ?
4 ?
5 ?
6 ?
7 ?
8 ?
9))
658 (aset (nth 1 calc-alg-esc-map
) i
(aref (nth 1 calc-mode-map
) i
)))
660 (define-key calc-alg-map
"\e" calc-alg-esc-map
)
661 (define-key calc-alg-map
"\e\t" 'calc-roll-up
)
662 (define-key calc-alg-map
"\e\C-m" 'calc-last-args-stub
)
663 (define-key calc-alg-map
"\e\177" 'calc-pop-above
)
665 ;;;; (Autoloads here)
666 (mapcar (function (lambda (x)
667 (mapcar (function (lambda (func)
668 (autoload func
(car x
)))) (cdr x
))))
671 ("calc-alg" calc-Need-calc-alg calc-has-rules
672 calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
673 calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
674 calcFunc-simplify calcFunc-subst math-beforep
675 math-build-polynomial-expr math-expand-formula math-expr-contains
676 math-expr-contains-count math-expr-depends math-expr-height
677 math-expr-subst math-expr-weight math-integer-plus math-is-linear
678 math-is-multiple math-is-polynomial math-linear-in math-multiple-of
679 math-need-std-simps math-poly-depends math-poly-mix math-poly-mul
680 math-poly-simplify math-poly-zerop math-polynomial-base
681 math-polynomial-p math-recompile-eval-rules math-simplify
682 math-simplify-exp math-simplify-extended math-simplify-sqrt
683 math-to-simple-fraction
)
685 ("calcalg2" calc-Need-calc-alg-2 calcFunc-asum calcFunc-deriv
686 calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly
687 calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots
688 calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor
689 calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12
690 math-integral-rational-funcs math-lcm-denoms math-looks-evenp
691 math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn
692 math-solve-for math-sum-rec math-try-integral
)
694 ("calcalg3" calc-Need-calc-alg-3 calcFunc-efit calcFunc-fit
695 calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar
696 calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize
697 calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint
698 calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot
699 calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate
700 math-ninteg-midpoint math-ninteg-romberg math-poly-interp
)
702 ("calc-arith" calc-Need-calc-arith calcFunc-abs calcFunc-abssqr
703 calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag
704 calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg
705 calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd
706 calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
707 calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
708 calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
709 calcFunc-idiv calcFunc-incr calcFunc-mant calcFunc-max calcFunc-min
710 calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
711 calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
712 calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
713 math-add-objects-fancy math-add-or-sub math-add-symb-fancy
714 math-ceiling math-combine-prod math-combine-sum math-div-by-zero
715 math-div-objects-fancy math-div-symb-fancy math-div-zero
716 math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg
717 math-intv-constp math-known-evenp math-known-imagp math-known-integerp
718 math-known-matrixp math-known-negp math-known-nonnegp
719 math-known-nonposp math-known-nonzerop math-known-num-integerp
720 math-known-oddp math-known-posp math-known-realp math-known-scalarp
721 math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy
722 math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy
723 math-neg-float math-okay-neg math-possible-signs math-possible-types
724 math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero
725 math-quarter-integer math-round math-setup-declarations math-sqr
726 math-sqr-float math-trunc-fancy math-trunc-special
)
728 ("calc-bin" calc-Need-calc-bin calcFunc-and calcFunc-ash
729 calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or
730 calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip
731 math-compute-max-digits math-convert-radix-digits math-float-parts
732 math-format-bignum-binary math-format-bignum-hex
733 math-format-bignum-octal math-format-bignum-radix math-format-binary
734 math-format-radix math-format-radix-float math-integer-log2
735 math-power-of-2 math-radix-float-power
)
737 ("calc-comb" calc-Need-calc-comb calc-report-prime-test
738 calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact
739 calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime
740 calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime
741 calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2
742 calcFunc-totient math-init-random-base math-member math-prime-test
745 ("calccomp" calc-Need-calc-comp calcFunc-cascent calcFunc-cdescent
746 calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent
747 math-comp-height math-comp-width math-compose-expr
748 math-composition-to-string math-stack-value-offset-fancy
749 math-vector-is-string math-vector-to-string
)
751 ("calc-cplx" calc-Need-calc-cplx calcFunc-arg calcFunc-conj
752 calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex
753 math-fix-circular math-imaginary math-imaginary-i math-normalize-polar
754 math-polar math-want-polar
)
756 ("calc-embed" calc-Need-calc-embed calc-do-embedded
757 calc-do-embedded-activate calc-embedded-evaluate-expr
758 calc-embedded-modes-change calc-embedded-var-change
)
760 ("calc-fin" calc-Need-calc-fin calc-to-percentage calcFunc-ddb
761 calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb
762 calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb
763 calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl
764 calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd
)
766 ("calc-forms" calc-Need-calc-forms calcFunc-badd calcFunc-bsub
767 calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms
768 calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear
769 calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute
770 calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear
771 calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second
772 calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime
773 calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals
774 math-date-parts math-date-to-dt math-div-mod math-dt-to-date
775 math-format-date math-from-business-day math-from-hms math-make-intv
776 math-make-mod math-make-sdev math-mod-intv math-normalize-hms
777 math-normalize-mod math-parse-date math-read-angle-brackets
778 math-setup-add-holidays math-setup-holidays math-setup-year-holidays
779 math-sort-intv math-to-business-day math-to-hms
)
781 ("calc-frac" calc-Need-calc-frac calc-add-fractions
782 calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac
785 ("calc-funcs" calc-Need-calc-funcs calc-prob-dist calcFunc-bern
786 calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB
787 calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler
788 calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ
789 calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf
790 calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc
791 calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt
792 math-bernoulli-number math-gammap1-raw
)
794 ("calc-graph" calc-Need-calc-graph calc-graph-show-tty
)
796 ("calc-help" calc-Need-calc-help
)
798 ("calc-incom" calc-Need-calc-incom calc-digit-dots
)
800 ("calc-keypd" calc-Need-calc-keypd calc-do-keypad
801 calc-keypad-x-left-click calc-keypad-x-middle-click
802 calc-keypad-x-right-click
)
804 ("calc-lang" calc-Need-calc-lang calc-set-language
805 math-read-big-balance math-read-big-rec
)
807 ("calc-map" calc-Need-calc-map calc-get-operator calcFunc-accum
808 calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call
809 calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc
810 calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr
811 calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum
812 calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced
813 calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec
814 calcFunc-rreduced calcFunc-rreducer math-build-call
815 math-calcFunc-to-var math-multi-subst math-multi-subst-rec
816 math-var-to-calcFunc
)
818 ("calc-mtx" calc-Need-calc-mat calcFunc-det calcFunc-lud calcFunc-tr
819 math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud
820 math-mul-mat-vec math-mul-mats math-row-matrix
)
822 ("calc-math" calc-Need-calc-math calcFunc-alog calcFunc-arccos
823 calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh
824 calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-cos
825 calcFunc-cosh calcFunc-deg calcFunc-exp calcFunc-exp10 calcFunc-expm1
826 calcFunc-hypot calcFunc-ilog calcFunc-isqrt calcFunc-ln calcFunc-lnp1
827 calcFunc-log calcFunc-log10 calcFunc-nroot calcFunc-rad calcFunc-sin
828 calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan
829 calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw
830 math-arctan2-raw math-cos-raw math-exp-minus-1-raw math-exp-raw
831 math-from-radians math-from-radians-2 math-hypot math-infinite-dir
832 math-isqrt-small math-ln-raw math-nearly-equal math-nearly-equal-float
833 math-nearly-zerop math-nearly-zerop-float math-nth-root
834 math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw
835 math-tan-raw math-to-radians math-to-radians-2
)
837 ("calc-mode" calc-Need-calc-mode math-get-modes-vec
)
839 ("calc-poly" calc-Need-calc-poly calcFunc-apart calcFunc-expand
840 calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat
841 calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide
842 calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim
843 calcFunc-prem math-accum-factors math-atomic-factorp
844 math-div-poly-const math-div-thru math-expand-power math-expand-term
845 math-factor-contains math-factor-expr math-factor-expr-part
846 math-factor-expr-try math-factor-finish math-factor-poly-coefs
847 math-factor-protect math-mul-thru math-padded-polynomial
848 math-partial-fractions math-poly-degree math-poly-deriv-coefs
849 math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p
850 math-to-ratpoly math-to-ratpoly-rec
)
852 ("calc-prog" calc-Need-calc-prog calc-default-formula-arglist
853 calc-execute-kbd-macro calc-finish-user-syntax-edit
854 calc-fix-token-name calc-fix-user-formula calc-read-parse-table
855 calc-read-parse-table-part calc-subsetp calc-write-parse-table
856 calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq
857 calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue
858 calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt
859 calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real
860 calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable
861 math-body-refers-to math-break math-composite-inequalities
862 math-do-defmath math-handle-for math-handle-foreach
863 math-normalize-logical-op math-return
)
865 ("calc-rewr" calc-Need-calc-rewr calcFunc-match calcFunc-matches
866 calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches
867 math-apply-rewrites math-compile-patterns math-compile-rewrites
868 math-flatten-lands math-match-patterns math-rewrite
871 ("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules
872 calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules
873 calc-MergeRules calc-Need-calc-rules calc-NegateRules
874 calc-compile-rule-set
)
876 ("calc-sel" calc-Need-calc-sel calc-auto-selection
877 calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula
878 calc-find-parent-formula calc-find-sub-formula calc-prepare-selection
879 calc-preserve-point calc-replace-selections calc-replace-sub-formula
880 calc-roll-down-with-selections calc-roll-up-with-selections
883 ("calcsel2" calc-Need-calc-sel-2
)
885 ("calc-stat" calc-Need-calc-stat calc-vector-op calcFunc-agmean
886 calcFunc-vcorr calcFunc-vcount calcFunc-vcov calcFunc-vflat
887 calcFunc-vgmean calcFunc-vhmean calcFunc-vmax calcFunc-vmean
888 calcFunc-vmeane calcFunc-vmedian calcFunc-vmin calcFunc-vpcov
889 calcFunc-vprod calcFunc-vpsdev calcFunc-vpvar calcFunc-vsdev
890 calcFunc-vsum calcFunc-vvar math-flatten-many-vecs
)
892 ("calc-store" calc-Need-calc-store calc-read-var-name
893 calc-store-value calc-var-name
)
895 ("calc-stuff" calc-Need-calc-stuff calc-explain-why calcFunc-clean
896 calcFunc-pclean calcFunc-pfloat calcFunc-pfrac
)
898 ("calc-trail" calc-Need-calc-trail
)
900 ("calc-undo" calc-Need-calc-undo
)
902 ("calc-units" calc-Need-calc-units calcFunc-usimplify
903 math-build-units-table math-build-units-table-buffer
904 math-check-unit-name math-convert-temperature math-convert-units
905 math-extract-units math-remove-units math-simplify-units
906 math-single-units-in-expr-p math-to-standard-units
907 math-units-in-expr-p
)
909 ("calc-vec" calc-Need-calc-vec calcFunc-append calcFunc-appendrev
910 calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross
911 calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find
912 calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram
913 calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims
914 calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack
915 calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade
916 calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec
917 calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec
918 calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt
919 calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev
920 calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp
921 calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask
922 calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack
923 calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix
924 math-dimension-error math-dot-product math-flatten-vector math-map-vec
925 math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set
926 math-read-brackets math-reduce-cols math-reduce-vec math-transpose
)
928 ("calc-yank" calc-Need-calc-yank calc-alg-edit calc-clean-newlines
929 calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit
930 calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer
)
934 (mapcar (function (lambda (x)
935 (mapcar (function (lambda (cmd)
936 (autoload cmd
(car x
) nil t
))) (cdr x
))))
939 ("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
940 calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
941 calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
942 calc-simplify-extended calc-substitute
)
944 ("calcalg2" calc-alt-summation calc-derivative
945 calc-dump-integral-cache calc-integral calc-num-integral
946 calc-poly-roots calc-product calc-solve-for calc-summation
947 calc-tabulate calc-taylor
)
949 ("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum
950 calc-find-root calc-poly-interp
)
952 ("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement
953 calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min
954 calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part
)
956 ("calc-bin" calc-and calc-binary-radix calc-clip calc-decimal-radix
957 calc-diff calc-hex-radix calc-leading-zeros calc-lshift-arith
958 calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix
959 calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size
962 ("calc-comb" calc-choose calc-double-factorial calc-extended-gcd
963 calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius
964 calc-next-prime calc-perm calc-prev-prime calc-prime-factors
965 calc-prime-test calc-random calc-random-again calc-rrandom
966 calc-shuffle calc-totient
)
968 ("calc-cplx" calc-argument calc-complex-notation calc-i-notation
969 calc-im calc-j-notation calc-polar calc-polar-mode calc-re
)
971 ("calc-embed" calc-embedded-copy-formula-as-kill
972 calc-embedded-duplicate calc-embedded-edit calc-embedded-forget
973 calc-embedded-kill-formula calc-embedded-mark-formula
974 calc-embedded-new-formula calc-embedded-next calc-embedded-previous
975 calc-embedded-select calc-embedded-update-formula calc-embedded-word
976 calc-find-globals calc-show-plain
)
978 ("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv
979 calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv
980 calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change
)
982 ("calc-forms" calc-business-days-minus calc-business-days-plus
983 calc-convert-time-zones calc-date calc-date-notation calc-date-part
984 calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month
985 calc-julian calc-new-month calc-new-week calc-new-year calc-now
986 calc-time calc-time-zone calc-to-hms calc-unix-time
)
988 ("calc-frac" calc-fdiv calc-frac-mode calc-fraction
989 calc-over-notation calc-slash-notation
)
991 ("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y
992 calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta
993 calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf
994 calc-utpn calc-utpp calc-utpt
)
996 ("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border
997 calc-graph-clear calc-graph-command calc-graph-delete
998 calc-graph-device calc-graph-display calc-graph-fast
999 calc-graph-fast-3d calc-graph-geometry calc-graph-grid
1000 calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key
1001 calc-graph-kill calc-graph-line-style calc-graph-log-x
1002 calc-graph-log-y calc-graph-log-z calc-graph-name
1003 calc-graph-num-points calc-graph-output calc-graph-plot
1004 calc-graph-point-style calc-graph-print calc-graph-quit
1005 calc-graph-range-x calc-graph-range-y calc-graph-range-z
1006 calc-graph-show-dumb calc-graph-title-x calc-graph-title-y
1007 calc-graph-title-z calc-graph-view-commands calc-graph-view-trail
1008 calc-graph-zero-x calc-graph-zero-y
)
1010 ("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help
1011 calc-d-prefix-help calc-describe-function calc-describe-key
1012 calc-describe-key-briefly calc-describe-variable calc-f-prefix-help
1013 calc-full-help calc-g-prefix-help calc-help-prefix
1014 calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help
1015 calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help
1016 calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help
1017 calc-t-prefix-help calc-u-prefix-help calc-v-prefix-help
)
1019 ("calc-incom" calc-begin-complex calc-begin-vector calc-comma
1020 calc-dots calc-end-complex calc-end-vector calc-semi
)
1022 ("calc-keypd" calc-keypad-menu calc-keypad-menu-back
1025 ("calc-lang" calc-big-language calc-c-language calc-eqn-language
1026 calc-flat-language calc-fortran-language calc-maple-language
1027 calc-mathematica-language calc-normal-language calc-pascal-language
1028 calc-tex-language calc-unformatted-language
)
1030 ("calc-map" calc-accumulate calc-apply calc-inner-product calc-map
1031 calc-map-equation calc-map-stack calc-outer-product calc-reduce
)
1033 ("calc-mtx" calc-mdet calc-mlud calc-mtrace
)
1035 ("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh
1036 calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh
1037 calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog
1038 calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10
1039 calc-pi calc-radians-mode calc-sin calc-sincos calc-sinh calc-sqrt
1040 calc-tan calc-tanh calc-to-degrees calc-to-radians
)
1042 ("calc-mode" calc-alg-simplify-mode calc-algebraic-mode
1043 calc-always-load-extensions calc-auto-recompute calc-auto-why
1044 calc-bin-simplify-mode calc-break-vectors calc-center-justify
1045 calc-default-simplify-mode calc-display-raw calc-eng-notation
1046 calc-ext-simplify-mode calc-fix-notation calc-full-trail-vectors
1047 calc-full-vectors calc-get-modes calc-group-char calc-group-digits
1048 calc-infinite-mode calc-left-justify calc-left-label
1049 calc-line-breaking calc-line-numbering calc-matrix-brackets
1050 calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode
1051 calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode
1052 calc-normal-notation calc-num-simplify-mode calc-point-char
1053 calc-right-justify calc-right-label calc-save-modes calc-sci-notation
1054 calc-settings-file-name calc-shift-prefix calc-symbolic-mode
1055 calc-total-algebraic-mode calc-truncate-down calc-truncate-stack
1056 calc-truncate-up calc-units-simplify-mode calc-vector-braces
1057 calc-vector-brackets calc-vector-commas calc-vector-parens
1060 ("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax
1061 calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
1062 calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if
1063 calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat
1064 calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push
1065 calc-kbd-query calc-kbd-repeat calc-kbd-report calc-less-equal
1066 calc-less-than calc-logical-and calc-logical-if calc-logical-not
1067 calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal
1068 calc-timing calc-user-define calc-user-define-composition
1069 calc-user-define-edit calc-user-define-formula
1070 calc-user-define-invocation calc-user-define-kbd-macro
1071 calc-user-define-permanent calc-user-undefine
)
1073 ("calc-rewr" calc-match calc-rewrite calc-rewrite-selection
)
1075 ("calc-sel" calc-break-selections calc-clear-selections
1076 calc-copy-selection calc-del-selection calc-edit-selection
1077 calc-enable-selections calc-enter-selection calc-sel-add-both-sides
1078 calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula
1079 calc-sel-mult-both-sides calc-sel-sub-both-sides
1080 calc-select-additional calc-select-here calc-select-here-maybe
1081 calc-select-less calc-select-more calc-select-next calc-select-once
1082 calc-select-once-maybe calc-select-part calc-select-previous
1083 calc-show-selections calc-unselect
)
1085 ("calcsel2" calc-commute-left calc-commute-right calc-sel-commute
1086 calc-sel-distribute calc-sel-invert calc-sel-isolate
1087 calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack
)
1089 ("calc-stat" calc-vector-correlation calc-vector-count
1090 calc-vector-covariance calc-vector-geometric-mean
1091 calc-vector-harmonic-mean calc-vector-max calc-vector-mean
1092 calc-vector-mean-error calc-vector-median calc-vector-min
1093 calc-vector-pop-covariance calc-vector-pop-sdev
1094 calc-vector-pop-variance calc-vector-product calc-vector-sdev
1095 calc-vector-sum calc-vector-variance
)
1097 ("calc-store" calc-assign calc-copy-variable calc-declare-variable
1098 calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules
1099 calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount
1100 calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles
1101 calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone
1102 calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables
1103 calc-let calc-permanent-variable calc-recall calc-recall-quick
1104 calc-store calc-store-concat calc-store-decr calc-store-div
1105 calc-store-exchange calc-store-incr calc-store-into
1106 calc-store-into-quick calc-store-inv calc-store-map calc-store-minus
1107 calc-store-neg calc-store-plus calc-store-power calc-store-quick
1108 calc-store-times calc-subscript calc-unstore
)
1110 ("calc-stuff" calc-clean calc-clean-num calc-flush-caches
1111 calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix
1112 calc-version calc-why
)
1114 ("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward
1115 calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward
1116 calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next
1117 calc-trail-out calc-trail-previous calc-trail-scroll-left
1118 calc-trail-scroll-right calc-trail-yank
)
1120 ("calc-undo" calc-last-args calc-redo calc-undo
)
1122 ("calc-units" calc-autorange-units calc-base-units
1123 calc-convert-temperature calc-convert-units calc-define-unit
1124 calc-enter-units-table calc-explain-units calc-extract-units
1125 calc-get-unit-definition calc-permanent-units calc-quick-units
1126 calc-remove-units calc-simplify-units calc-undefine-unit
1127 calc-view-units-table
)
1129 ("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm
1130 calc-conj-transpose calc-cons calc-cross calc-diag
1131 calc-display-strings calc-expand-vector calc-grade calc-head
1132 calc-histogram calc-ident calc-index calc-mask-vector calc-mcol
1133 calc-mrow calc-pack calc-pack-bits calc-remove-duplicates
1134 calc-reverse-vector calc-rnorm calc-set-cardinality
1135 calc-set-complement calc-set-difference calc-set-enumerate
1136 calc-set-floor calc-set-intersect calc-set-span calc-set-union
1137 calc-set-xor calc-sort calc-subvector calc-tail calc-transpose
1138 calc-unpack calc-unpack-bits calc-vector-find calc-vlength
)
1140 ("calc-yank" calc-copy-as-kill calc-copy-region-as-kill
1141 calc-copy-to-buffer calc-edit calc-edit-cancel calc-edit-mode
1142 calc-kill calc-kill-region calc-yank
))))
1144 (defun calc-init-prefixes ()
1145 (if calc-shift-prefix
1147 (define-key calc-mode-map
"A" (lookup-key calc-mode-map
"a"))
1148 (define-key calc-mode-map
"B" (lookup-key calc-mode-map
"b"))
1149 (define-key calc-mode-map
"C" (lookup-key calc-mode-map
"c"))
1150 (define-key calc-mode-map
"D" (lookup-key calc-mode-map
"d"))
1151 (define-key calc-mode-map
"F" (lookup-key calc-mode-map
"f"))
1152 (define-key calc-mode-map
"G" (lookup-key calc-mode-map
"g"))
1153 (define-key calc-mode-map
"J" (lookup-key calc-mode-map
"j"))
1154 (define-key calc-mode-map
"K" (lookup-key calc-mode-map
"k"))
1155 (define-key calc-mode-map
"M" (lookup-key calc-mode-map
"m"))
1156 (define-key calc-mode-map
"S" (lookup-key calc-mode-map
"s"))
1157 (define-key calc-mode-map
"T" (lookup-key calc-mode-map
"t"))
1158 (define-key calc-mode-map
"U" (lookup-key calc-mode-map
"u")))
1159 (define-key calc-mode-map
"A" 'calc-abs
)
1160 (define-key calc-mode-map
"B" 'calc-log
)
1161 (define-key calc-mode-map
"C" 'calc-cos
)
1162 (define-key calc-mode-map
"D" 'calc-redo
)
1163 (define-key calc-mode-map
"F" 'calc-floor
)
1164 (define-key calc-mode-map
"G" 'calc-argument
)
1165 (define-key calc-mode-map
"J" 'calc-conj
)
1166 (define-key calc-mode-map
"K" 'calc-keep-args
)
1167 (define-key calc-mode-map
"M" 'calc-more-recursion-depth
)
1168 (define-key calc-mode-map
"S" 'calc-sin
)
1169 (define-key calc-mode-map
"T" 'calc-tan
)
1170 (define-key calc-mode-map
"U" 'calc-undo
)))
1172 (calc-init-extensions)
1179 (defun calc-clear-command-flag (f)
1180 (setq calc-command-flags
(delq f calc-command-flags
)))
1183 (defun calc-record-message (tag &rest args
)
1184 (let ((msg (apply 'format args
)))
1186 (calc-record msg tag
))
1187 (calc-clear-command-flag 'clear-message
))
1190 (defun calc-normalize-fancy (val)
1191 (let ((simp (if (consp calc-simplify-mode
)
1192 (car calc-simplify-mode
)
1193 calc-simplify-mode
)))
1194 (cond ((eq simp
'binary
)
1195 (let ((s (math-normalize val
)))
1197 (math-clip (math-round s
))
1200 (math-simplify val
))
1202 (math-simplify-extended val
))
1204 (math-simplify-units val
))
1206 (math-normalize val
)))))
1210 (if (boundp 'calc-help-map
)
1212 (setq calc-help-map
(make-keymap))
1213 (define-key calc-help-map
"b" 'calc-describe-bindings
)
1214 (define-key calc-help-map
"c" 'calc-describe-key-briefly
)
1215 (define-key calc-help-map
"f" 'calc-describe-function
)
1216 (define-key calc-help-map
"h" 'calc-full-help
)
1217 (define-key calc-help-map
"i" 'calc-info
)
1218 (define-key calc-help-map
"k" 'calc-describe-key
)
1219 (define-key calc-help-map
"n" 'calc-view-news
)
1220 (define-key calc-help-map
"s" 'calc-info-summary
)
1221 (define-key calc-help-map
"t" 'calc-tutorial
)
1222 (define-key calc-help-map
"v" 'calc-describe-variable
)
1223 (define-key calc-help-map
"\C-c" 'calc-describe-copying
)
1224 (define-key calc-help-map
"\C-d" 'calc-describe-distribution
)
1225 (define-key calc-help-map
"\C-n" 'calc-view-news
)
1226 (define-key calc-help-map
"\C-w" 'calc-describe-no-warranty
)
1227 (define-key calc-help-map
"?" 'calc-help-for-help
)
1228 (define-key calc-help-map
"\C-h" 'calc-help-for-help
))
1230 (defvar calc-prefix-help-phase
0)
1231 (defun calc-do-prefix-help (msgs group key
)
1232 (if calc-full-help-flag
1233 (list msgs group key
)
1236 (setq calc-prefix-help-phase
1237 (if (eq this-command last-command
)
1238 (%
(1+ calc-prefix-help-phase
) (1+ (length msgs
)))
1240 (let ((msg (nth calc-prefix-help-phase msgs
)))
1241 (message "%s" (if msg
1242 (concat group
": " msg
":"
1244 (- (apply 'max
(mapcar 'length msgs
))
1248 (concat " " (char-to-string key
)
1251 (if key
(format "%c-" key
) "")))))
1252 (setq calc-prefix-help-phase
0)
1255 (message "%s: %s: %c-" group
(car msgs
) key
)
1256 (message "%s: (none) %c-" group key
))
1257 (message "%s: %s" group
(car msgs
))))
1258 (and key
(calc-unread-command key
))))
1265 (defun calc-reset (arg)
1268 (or (eq major-mode
'calc-mode
)
1269 (calc-create-buffer))
1270 (if calc-embedded-info
1271 (calc-embedded nil
))
1273 (setq calc-stack nil
))
1274 (setq calc-undo-list nil
1276 (let (calc-stack calc-user-parse-tables calc-standard-date-formats
1277 calc-invocation-macro
)
1278 (mapcar (function (lambda (v) (set v nil
))) calc-local-var-list
)
1279 (mapcar (function (lambda (v) (set (car v
) (nth 1 v
))))
1280 calc-mode-var-list
))
1281 (calc-set-language nil nil t
)
1283 (calc-flush-caches t
)
1284 (run-hooks 'calc-reset-hook
))
1286 (let ((win (get-buffer-window (current-buffer))))
1289 (let ((height (- (window-height win
) 2)))
1290 (set-window-point win
(point))
1291 (or (= height calc-window-height
)
1292 (let ((swin (selected-window)))
1294 (enlarge-window (- calc-window-height height
))
1295 (select-window swin
)))))))
1296 (message "(Calculator reset)"))
1298 ;; What a pain; scroll-left behaves differently when called non-interactively.
1299 (defun calc-scroll-left (n)
1301 (setq prefix-arg
(or n
(/ (window-width) 2)))
1302 (call-interactively #'scroll-left
))
1304 (defun calc-scroll-right (n)
1306 (setq prefix-arg
(or n
(/ (window-width) 2)))
1307 (call-interactively #'scroll-right
))
1309 (defun calc-scroll-up (n)
1312 (scroll-up (or n
(/ (window-height) 2)))
1314 (if (pos-visible-in-window-p (max 1 (- (point-max) 2)))
1315 (if (eq major-mode
'calc-mode
)
1317 (goto-char (point-max))
1318 (set-window-start (selected-window)
1320 (forward-line (- (1- (window-height))))
1322 (forward-line -
1))))
1324 (defun calc-scroll-down (n)
1326 (or (pos-visible-in-window-p 1)
1327 (scroll-down (or n
(/ (window-height) 2)))))
1330 (defun calc-precision (n)
1331 (interactive "NPrecision: ")
1333 (if (< (prefix-numeric-value n
) 3)
1334 (error "Precision must be at least 3 digits")
1335 (calc-change-mode 'calc-internal-prec
(prefix-numeric-value n
)
1336 (and (memq (car calc-float-format
) '(float sci eng
))
1337 (< (nth 1 calc-float-format
)
1338 (if (= calc-number-radix
10) 0 1))))
1339 (calc-record calc-internal-prec
"prec"))
1340 (message "Floating-point precision is %d digits" calc-internal-prec
)))
1343 (defun calc-inverse (&optional n
)
1345 (calc-fancy-prefix 'calc-inverse-flag
"Inverse..." n
))
1347 (defconst calc-fancy-prefix-map
1348 (let ((map (make-sparse-keymap)))
1349 (define-key map
[t] 'calc-fancy-prefix-other-key)
1350 (define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key)
1351 (define-key map [switch-frame] nil)
1352 (define-key map [?\C-u] 'universal-argument)
1353 (define-key map [?0] 'digit-argument)
1354 (define-key map [?1] 'digit-argument)
1355 (define-key map [?2] 'digit-argument)
1356 (define-key map [?3] 'digit-argument)
1357 (define-key map [?4] 'digit-argument)
1358 (define-key map [?5] 'digit-argument)
1359 (define-key map [?6] 'digit-argument)
1360 (define-key map [?7] 'digit-argument)
1361 (define-key map [?8] 'digit-argument)
1362 (define-key map [?9] 'digit-argument)
1364 "Keymap used while processing calc-fancy-prefix.")
1366 (defvar calc-is-keypad-press nil)
1367 (defun calc-fancy-prefix (flag msg n)
1370 (calc-set-command-flag 'keep-flags)
1371 (calc-set-command-flag 'no-align)
1372 (setq prefix (set flag (not (symbol-value flag)))
1374 (message (if prefix msg "")))
1376 (not calc-is-keypad-press)
1377 (if (boundp 'overriding-terminal-local-map)
1378 (setq overriding-terminal-local-map calc-fancy-prefix-map)
1379 (let ((event (calc-read-key t)))
1380 (if (eq (setq last-command-char (car event)) ?\C-u)
1381 (universal-argument)
1382 (if (or (not (integerp last-command-char))
1383 (and (>= last-command-char 0) (< last-command-char ? )
1384 (not (memq last-command-char '(?\e)))))
1385 (calc-wrapper)) ; clear flags if not a Calc command.
1386 (setq last-command-event (cdr event))
1387 (if (or (not (integerp last-command-char))
1388 (eq last-command-char ?-))
1389 (calc-unread-command)
1390 (digit-argument n))))))))
1392 (defun calc-fancy-prefix-other-key (arg)
1394 (if (or (not (integerp last-command-char))
1395 (and (>= last-command-char 0) (< last-command-char ? )
1396 (not (eq last-command-char meta-prefix-char))))
1397 (calc-wrapper)) ; clear flags if not a Calc command.
1398 (calc-unread-command)
1399 (setq overriding-terminal-local-map nil))
1401 (defun calc-invert-func ()
1403 (calc-select-buffer)
1404 (setq calc-inverse-flag (not (calc-is-inverse))
1405 calc-hyperbolic-flag (calc-is-hyperbolic)
1406 current-prefix-arg nil)))
1408 (defun calc-is-inverse ()
1411 (defun calc-hyperbolic (&optional n)
1413 (calc-fancy-prefix 'calc-hyperbolic-flag "Hyperbolic..." n))
1415 (defun calc-hyperbolic-func ()
1417 (calc-select-buffer)
1418 (setq calc-inverse-flag (calc-is-inverse)
1419 calc-hyperbolic-flag (not (calc-is-hyperbolic))
1420 current-prefix-arg nil)))
1422 (defun calc-is-hyperbolic ()
1423 calc-hyperbolic-flag)
1425 (defun calc-keep-args (&optional n)
1427 (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
1430 (defun calc-change-mode (var value &optional refresh option)
1432 (setq value (if value
1433 (> (prefix-numeric-value value) 0)
1434 (not (symbol-value var)))))
1435 (or (consp var) (setq var (list var) value (list value)))
1436 (if calc-inverse-flag
1438 (or refresh (error "Not a display-mode command"))
1439 (calc-check-stack 1)
1443 (setq old (cons (symbol-value (car v)) old))
1444 (set (car v) (car value))
1447 (calc-refresh-top 1)
1448 (calc-refresh-evaltos)
1449 (symbol-value (car var)))
1451 (setq old (nreverse old))
1453 (set (car v) (car old))
1456 (if (eq (car var) 'calc-language)
1457 (calc-set-language calc-language calc-language-option t)))))
1461 (or (equal (symbol-value (car v)) (car value))
1463 (set (car v) (car value))
1464 (if (eq (car v) 'calc-float-format)
1465 (setq calc-full-float-format
1466 (list (if (eq (car (car value)) 'fix)
1475 (or (and refresh (calc-do-refresh))
1476 (calc-refresh-evaltos))
1477 (and (eq calc-mode-save-mode 'save)
1478 (not (equal var '(calc-mode-save-mode)))
1479 (calc-save-modes))))
1480 (if calc-embedded-info (calc-embedded-modes-change var))
1481 (symbol-value (car var)))))
1483 (defun calc-toggle-banner ()
1484 "Toggle display of the friendly greeting calc normally shows above the stack."
1486 (setq calc-show-banner (not calc-show-banner))
1489 (defun calc-refresh-top (n)
1494 (let ((entry (calc-top n 'entry))
1495 (calc-undo-list nil) (calc-redo-list nil))
1496 (calc-pop-stack 1 n t)
1497 (calc-push-list (list (car entry)) n (list (nth 2 entry)))))
1501 (let ((entries (calc-top-list n 1 'entry))
1502 (calc-undo-list nil) (calc-redo-list nil))
1503 (calc-pop-stack n 1 t)
1504 (calc-push-list (mapcar 'car entries)
1506 (mapcar (function (lambda (x) (nth 2 x)))
1509 (defvar calc-refreshing-evaltos nil)
1510 (defvar calc-no-refresh-evaltos nil)
1511 (defun calc-refresh-evaltos (&optional which-var)
1512 (and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos)
1513 (let ((calc-refreshing-evaltos t)
1514 (num (calc-stack-size))
1515 (calc-undo-list nil) (calc-redo-list nil)
1518 (setq value (calc-top num 'entry))
1519 (if (and (not (nth 2 value))
1520 (setq value (car value))
1521 (or (eq (car-safe value) 'calcFunc-evalto)
1522 (and (eq (car-safe value) 'vec)
1523 (eq (car-safe (nth 1 value)) 'calcFunc-evalto))))
1525 (setq new-val (math-normalize value))
1526 (or (equal new-val value)
1528 (calc-push-list (list new-val) num)
1529 (calc-pop-stack 1 (1+ num) t)))))
1530 (setq num (1- num)))))
1531 (and calc-embedded-active which-var
1532 (calc-embedded-var-change which-var)))
1534 (defun calc-push (&rest vals)
1535 (calc-push-list vals))
1537 (defun calc-pop-push (n &rest vals)
1538 (calc-pop-push-list n vals))
1540 (defun calc-pop-push-record (n prefix &rest vals)
1541 (calc-pop-push-record-list n prefix vals))
1544 (defun calc-evaluate (n)
1548 (setq n (calc-stack-size)))
1549 (calc-with-default-simplification
1551 (calc-pop-push-record-list 1 "eval"
1552 (math-evaluate-expr (calc-top (- n)))
1554 (calc-pop-push-record-list n "eval" (mapcar 'math-evaluate-expr
1555 (calc-top-list n)))))
1556 (calc-handle-whys)))
1559 (defun calc-eval-num (n)
1562 (let* ((nn (prefix-numeric-value n))
1563 (calc-internal-prec (cond ((>= nn 3) nn)
1564 ((< nn 0) (max (+ calc-internal-prec nn)
1566 (t calc-internal-prec)))
1567 (calc-symbolic-mode nil))
1568 (calc-with-default-simplification
1569 (calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1)))))
1570 (calc-handle-whys)))
1573 (defun calc-execute-extended-command (n)
1575 (let* ((prompt (concat (calc-num-prefix-name n) "M-x "))
1576 (cmd (intern (completing-read prompt obarray 'commandp t "calc-"))))
1578 (command-execute cmd)))
1581 (defun calc-realign (&optional num)
1583 (if (and num (eq major-mode 'calc-mode))
1585 (calc-check-stack num)
1586 (calc-cursor-stack-index num)
1587 (and calc-line-numbering
1589 (if (and calc-embedded-info
1590 (eq (current-buffer) (aref calc-embedded-info 0)))
1592 (goto-char (aref calc-embedded-info 2))
1593 (if (save-excursion (set-buffer (aref calc-embedded-info 1))
1597 (if (get-buffer-window (current-buffer))
1598 (set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
1600 (defvar math-cache-list nil)
1602 (defun calc-var-value (v)
1606 (if (symbolp (symbol-value v))
1607 (set v (funcall (symbol-value v)))
1608 (if (stringp (symbol-value v))
1609 (let ((val (math-read-expr (symbol-value v))))
1610 (if (eq (car-safe val) 'error)
1611 (error "Bad format in variable contents: %s" (nth 2 val))
1613 (symbol-value v)))))
1615 ;;; In the following table, ( OP LOPS ROPS ) means that if an OP
1616 ;;; term appears as the first argument to any LOPS term, or as the
1617 ;;; second argument to any ROPS term, then they should be treated
1618 ;;; as one large term for purposes of associative selection.
1619 (defconst calc-assoc-ops '( ( + ( + - ) ( + ) )
1624 ( calcFunc-land ( calcFunc-land )
1626 ( calcFunc-lor ( calcFunc-lor )
1627 ( calcFunc-lor ) ) ))
1630 (defvar var-CommuteRules 'calc-CommuteRules)
1631 (defvar var-JumpRules 'calc-JumpRules)
1632 (defvar var-DistribRules 'calc-DistribRules)
1633 (defvar var-MergeRules 'calc-MergeRules)
1634 (defvar var-NegateRules 'calc-NegateRules)
1635 (defvar var-InvertRules 'calc-InvertRules)
1638 (defconst calc-tweak-eqn-table '( ( calcFunc-eq calcFunc-eq calcFunc-neq )
1639 ( calcFunc-neq calcFunc-neq calcFunc-eq )
1640 ( calcFunc-lt calcFunc-gt calcFunc-geq )
1641 ( calcFunc-gt calcFunc-lt calcFunc-leq )
1642 ( calcFunc-leq calcFunc-geq calcFunc-gt )
1643 ( calcFunc-geq calcFunc-leq calcFunc-lt ) ))
1648 (defun calc-float (arg)
1651 (calc-unary-op "flt"
1652 (if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat)
1656 (defvar calc-gnuplot-process nil)
1659 (defun calc-gnuplot-alive ()
1660 (and calc-gnuplot-process
1662 (buffer-name calc-gnuplot-buffer)
1664 (buffer-name calc-gnuplot-input)
1665 (memq (process-status calc-gnuplot-process) '(run stop))))
1671 (defun calc-load-everything ()
1673 (calc-need-macros) ; calc-macs.el
1674 (calc-record-list nil) ; calc-misc.el
1675 (math-read-exprs "0") ; calc-aent.el
1678 (calc-Need-calc-alg-2)
1679 (calc-Need-calc-alg-3)
1680 (calc-Need-calc-alg)
1681 (calc-Need-calc-arith)
1682 (calc-Need-calc-bin)
1683 (calc-Need-calc-comb)
1684 (calc-Need-calc-comp)
1685 (calc-Need-calc-cplx)
1686 (calc-Need-calc-embed)
1687 (calc-Need-calc-fin)
1688 (calc-Need-calc-forms)
1689 (calc-Need-calc-frac)
1690 (calc-Need-calc-funcs)
1691 (calc-Need-calc-graph)
1692 (calc-Need-calc-help)
1693 (calc-Need-calc-incom)
1694 (calc-Need-calc-keypd)
1695 (calc-Need-calc-lang)
1696 (calc-Need-calc-map)
1697 (calc-Need-calc-mat)
1698 (calc-Need-calc-math)
1699 (calc-Need-calc-mode)
1700 (calc-Need-calc-poly)
1701 (calc-Need-calc-prog)
1702 (calc-Need-calc-rewr)
1703 (calc-Need-calc-rules)
1704 (calc-Need-calc-sel-2)
1705 (calc-Need-calc-sel)
1706 (calc-Need-calc-stat)
1707 (calc-Need-calc-store)
1708 (calc-Need-calc-stuff)
1709 (calc-Need-calc-trail)
1710 (calc-Need-calc-undo)
1711 (calc-Need-calc-units)
1712 (calc-Need-calc-vec)
1713 (calc-Need-calc-yank)
1715 (message "All parts of Calc are now loaded"))
1718 ;;; Vector commands.
1720 (defun calc-concat (arg)
1723 (if (calc-is-inverse)
1724 (if (calc-is-hyperbolic)
1725 (calc-enter-result 2 "apnd" (list 'calcFunc-append
1726 (calc-top 1) (calc-top 2)))
1727 (calc-enter-result 2 "|" (list 'calcFunc-vconcat
1728 (calc-top 1) (calc-top 2))))
1729 (if (calc-is-hyperbolic)
1730 (calc-binary-op "apnd" 'calcFunc-append arg '(vec))
1731 (calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|)))))
1733 (defun calc-append (arg)
1735 (calc-hyperbolic-func)
1739 (defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB )
1740 ( var ArgC var-ArgC ) ( var ArgD var-ArgD )
1741 ( var ArgE var-ArgE ) ( var ArgF var-ArgF )
1742 ( var ArgG var-ArgG ) ( var ArgH var-ArgH )
1743 ( var ArgI var-ArgI ) ( var ArgJ var-ArgJ )
1746 (defun calc-invent-args (n)
1747 (nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values))))
1754 (defun calc-user-key-map ()
1755 (if calc-emacs-type-lucid
1756 (error "User-defined keys are not supported in Lucid Emacs"))
1757 (let ((res (cdr (lookup-key calc-mode-map "z"))))
1758 (if (eq (car (car res)) 27)
1762 (defvar calc-z-prefix-buf nil)
1763 (defvar calc-z-prefix-msgs nil)
1765 (defun calc-z-prefix-help ()
1767 (let* ((calc-z-prefix-msgs nil)
1768 (calc-z-prefix-buf "")
1769 (kmap (sort (copy-sequence (calc-user-key-map))
1770 (function (lambda (x y) (< (car x) (car y))))))
1771 (flags (apply 'logior
1774 (calc-user-function-classify (car k))))
1776 (if (= (logand flags 8) 0)
1777 (calc-user-function-list kmap 7)
1778 (calc-user-function-list kmap 1)
1779 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)
1780 calc-z-prefix-buf "")
1781 (calc-user-function-list kmap 6))
1783 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)))
1784 (calc-do-prefix-help (nreverse calc-z-prefix-msgs) "user" ?z)))
1786 (defun calc-user-function-classify (key)
1787 (cond ((/= key (downcase key)) ; upper-case
1788 (if (assq (downcase key) (calc-user-key-map)) 9 1))
1789 ((/= key (upcase key)) 2) ; lower-case
1793 (defun calc-user-function-list (map flags)
1795 (let* ((key (car (car map)))
1796 (kind (calc-user-function-classify key))
1797 (func (cdr (car map))))
1798 (if (or (= (logand kind flags) 0)
1799 (not (symbolp func)))
1801 (let* ((name (symbol-name func))
1802 (name (if (string-match "\\`calc-" name)
1803 (substring name 5) name))
1804 (pos (string-match (char-to-string key) name))
1807 (if (= (logand kind 3) 0)
1808 (format "`%c' = %s" key name)
1811 (downcase (substring name 0 pos))
1813 (downcase (substring name (1+ pos))))
1817 (char-to-string (upcase key)))))
1818 (if (= (length calc-z-prefix-buf) 0)
1819 (setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1821 (if (> (+ (length calc-z-prefix-buf) (length desc)) 58)
1822 (setq calc-z-prefix-msgs
1823 (cons calc-z-prefix-buf calc-z-prefix-msgs)
1824 calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1826 (setq calc-z-prefix-buf (concat calc-z-prefix-buf ", " desc))))))
1827 (calc-user-function-list (cdr map) flags))))
1831 (defun calc-shift-Z-prefix-help ()
1833 (calc-do-prefix-help
1834 '("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn"
1835 "Composition, Syntax; Invocation; Permanent; Timing"
1836 "kbd-macros: [ (if), : (else), | (else-if), ] (end-if)"
1837 "kbd-macros: < > (repeat), ( ) (for), { } (loop)"
1838 "kbd-macros: / (break)"
1839 "kbd-macros: ` (save), ' (restore)")
1845 (defmacro math-defcache (name init form)
1846 (let ((cache-prec (intern (concat (symbol-name name) "-cache-prec")))
1847 (cache-val (intern (concat (symbol-name name) "-cache")))
1848 (last-prec (intern (concat (symbol-name name) "-last-prec")))
1849 (last-val (intern (concat (symbol-name name) "-last"))))
1851 (list 'defvar cache-prec (if init (math-numdigs (nth 1 init)) -100))
1852 (list 'defvar cache-val (list 'quote init))
1853 (list 'defvar last-prec -100)
1854 (list 'defvar last-val nil)
1855 (list 'setq 'math-cache-list
1857 (list 'quote cache-prec)
1859 (list 'quote last-prec)
1864 (list '= last-prec 'calc-internal-prec)
1867 (list 'math-normalize
1870 (list '>= cache-prec
1871 'calc-internal-prec)
1875 '((calc-internal-prec
1876 (+ calc-internal-prec
1880 '(+ calc-internal-prec 2)))
1882 last-prec 'calc-internal-prec))
1884 (put 'math-defcache 'lisp-indent-hook 2)
1886 ;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public]
1887 (math-defcache math-pi (float (bigpos 463 238 793 589 653 592 141 3) -21)
1888 (math-add-float (math-mul-float '(float 16 0)
1889 (math-arctan-raw '(float 2 -1)))
1890 (math-mul-float '(float -4 0)
1892 (math-float '(frac 1 239))))))
1894 (math-defcache math-two-pi nil
1895 (math-mul-float (math-pi) '(float 2 0)))
1897 (math-defcache math-pi-over-2 nil
1898 (math-mul-float (math-pi) '(float 5 -1)))
1900 (math-defcache math-pi-over-4 nil
1901 (math-mul-float (math-pi) '(float 25 -2)))
1903 (math-defcache math-pi-over-180 nil
1904 (math-div-float (math-pi) '(float 18 1)))
1906 (math-defcache math-sqrt-pi nil
1907 (math-sqrt-float (math-pi)))
1909 (math-defcache math-sqrt-2 nil
1910 (math-sqrt-float '(float 2 0)))
1912 (math-defcache math-sqrt-12 nil
1913 (math-sqrt-float '(float 12 0)))
1915 (math-defcache math-sqrt-two-pi nil
1916 (math-sqrt-float (math-two-pi)))
1918 (math-defcache math-sqrt-e (float (bigpos 849 146 128 700 270 721 648 1) -21)
1919 (math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
1921 (math-defcache math-e nil
1922 (math-pow (math-sqrt-e) 2))
1924 (math-defcache math-phi nil
1925 (math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
1928 (math-defcache math-gamma-const nil
1929 '(float (bigpos 495 467 917 632 470 369 709 646 776 267 677 848 348 672
1930 057 988 235 399 359 593 421 310 024 824 900 120 065 606
1931 328 015 649 156 772 5) -100))
1933 (defun math-half-circle (symb)
1934 (if (eq calc-angle-mode 'rad)
1940 (defun math-full-circle (symb)
1941 (math-mul 2 (math-half-circle symb)))
1943 (defun math-quarter-circle (symb)
1944 (math-div (math-half-circle symb) 2))
1946 (defvar math-expand-formulas nil)
1948 ;;;; Miscellaneous math routines.
1950 ;;; True if A is an odd integer. [P R R] [Public]
1951 (defun math-oddp (a)
1953 (and (memq (car a) '(bigpos bigneg))
1954 (= (% (nth 1 a) 2) 1))
1957 ;;; True if A is a small or big integer. [P x] [Public]
1958 (defun math-integerp (a)
1960 (memq (car-safe a) '(bigpos bigneg))))
1962 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
1963 (defun math-natnump (a)
1965 (eq (car-safe a) 'bigpos)))
1967 ;;; True if A is a rational (or integer). [P x] [Public]
1968 (defun math-ratp (a)
1970 (memq (car-safe a) '(bigpos bigneg frac))))
1972 ;;; True if A is a real (or rational). [P x] [Public]
1973 (defun math-realp (a)
1975 (memq (car-safe a) '(bigpos bigneg frac float))))
1977 ;;; True if A is a real or HMS form. [P x] [Public]
1978 (defun math-anglep (a)
1980 (memq (car-safe a) '(bigpos bigneg frac float hms))))
1982 ;;; True if A is a number of any kind. [P x] [Public]
1983 (defun math-numberp (a)
1985 (memq (car-safe a) '(bigpos bigneg frac float cplx polar))))
1987 ;;; True if A is a complex number or angle. [P x] [Public]
1988 (defun math-scalarp (a)
1990 (memq (car-safe a) '(bigpos bigneg frac float cplx polar hms))))
1992 ;;; True if A is a vector. [P x] [Public]
1993 (defun math-vectorp (a)
1994 (eq (car-safe a) 'vec))
1996 ;;; True if A is any vector or scalar data object. [P x]
1997 (defun math-objvecp (a) ; [Public]
1999 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2000 hms date sdev intv mod vec incomplete))))
2002 ;;; True if A is an object not composed of sub-formulas . [P x] [Public]
2003 (defun math-primp (a)
2005 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2006 hms date mod var))))
2008 ;;; True if A is numerically (but not literally) an integer. [P x] [Public]
2009 (defun math-messy-integerp (a)
2011 ((eq (car-safe a) 'float) (>= (nth 2 a) 0))
2012 ((eq (car-safe a) 'frac) (Math-integerp (math-normalize a)))))
2014 ;;; True if A is numerically an integer. [P x] [Public]
2015 (defun math-num-integerp (a)
2016 (or (Math-integerp a)
2017 (Math-messy-integerp a)))
2019 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2020 (defun math-num-natnump (a)
2022 (eq (car-safe a) 'bigpos)
2023 (and (eq (car-safe a) 'float)
2024 (Math-natnump (nth 1 a))
2027 ;;; True if A is an integer or will evaluate to an integer. [P x] [Public]
2028 (defun math-provably-integerp (a)
2029 (or (Math-integerp a)
2030 (and (memq (car-safe a) '(calcFunc-trunc
2038 ;;; True if A is a real or will evaluate to a real. [P x] [Public]
2039 (defun math-provably-realp (a)
2041 (math-provably-integer a)
2042 (memq (car-safe a) '(abs arg))))
2044 ;;; True if A is a non-real, complex number. [P x] [Public]
2045 (defun math-complexp (a)
2046 (memq (car-safe a) '(cplx polar)))
2048 ;;; True if A is a non-real, rectangular complex number. [P x] [Public]
2049 (defun math-rect-complexp (a)
2050 (eq (car-safe a) 'cplx))
2052 ;;; True if A is a non-real, polar complex number. [P x] [Public]
2053 (defun math-polar-complexp (a)
2054 (eq (car-safe a) 'polar))
2056 ;;; True if A is a matrix. [P x] [Public]
2057 (defun math-matrixp (a)
2058 (and (Math-vectorp a)
2059 (Math-vectorp (nth 1 a))
2061 (let ((len (length (nth 1 a))))
2063 (while (and (setq a (cdr a))
2064 (Math-vectorp (car a))
2065 (= (length (car a)) len)))
2068 (defun math-matrixp-step (a len) ; [P L]
2070 (and (Math-vectorp (car a))
2071 (= (length (car a)) len)
2072 (math-matrixp-step (cdr a) len))))
2074 ;;; True if A is a square matrix. [P V] [Public]
2075 (defun math-square-matrixp (a)
2076 (let ((dims (math-mat-dimens a)))
2078 (= (car dims) (nth 1 dims)))))
2080 ;;; True if A is any scalar data object. [P x]
2081 (defun math-objectp (a) ; [Public]
2083 (memq (car-safe a) '(bigpos bigneg frac float cplx
2084 polar hms date sdev intv mod))))
2086 ;;; Verify that A is an integer and return A in integer form. [I N; - x]
2087 (defun math-check-integer (a) ; [Public]
2088 (cond ((integerp a) a) ; for speed
2089 ((math-integerp a) a)
2090 ((math-messy-integerp a)
2092 (t (math-reject-arg a 'integerp))))
2094 ;;; Verify that A is a small integer and return A in integer form. [S N; - x]
2095 (defun math-check-fixnum (a &optional allow-inf) ; [Public]
2096 (cond ((integerp a) a) ; for speed
2097 ((Math-num-integerp a)
2098 (let ((a (math-trunc a)))
2101 (if (or (Math-lessp (lsh -1 -1) a)
2102 (Math-lessp a (- (lsh -1 -1))))
2103 (math-reject-arg a 'fixnump)
2105 ((and allow-inf (equal a '(var inf var-inf)))
2107 ((and allow-inf (equal a '(neg (var inf var-inf))))
2109 (t (math-reject-arg a 'fixnump))))
2111 ;;; Verify that A is an integer >= 0 and return A in integer form. [I N; - x]
2112 (defun math-check-natnum (a) ; [Public]
2113 (cond ((natnump a) a)
2114 ((and (not (math-negp a))
2115 (Math-num-integerp a))
2117 (t (math-reject-arg a 'natnump))))
2119 ;;; Verify that A is in floating-point form, or force it to be a float. [F N]
2120 (defun math-check-float (a) ; [Public]
2121 (cond ((eq (car-safe a) 'float) a)
2122 ((Math-vectorp a) (math-map-vec 'math-check-float a))
2123 ((Math-objectp a) (math-float a))
2126 ;;; Verify that A is a constant.
2127 (defun math-check-const (a &optional exp-ok)
2128 (if (or (math-constp a)
2129 (and exp-ok math-expand-formulas))
2131 (math-reject-arg a 'constp)))
2134 ;;; Coerce integer A to be a small integer. [S I]
2135 (defun math-fixnum (a)
2138 (if (eq (car a) 'bigneg)
2139 (- (math-fixnum-big (cdr a)))
2140 (math-fixnum-big (cdr a)))
2144 (defun math-fixnum-big (a)
2146 (+ (car a) (* (math-fixnum-big (cdr a)) 1000))
2149 (defvar math-simplify-only nil)
2151 (defun math-normalize-fancy (a)
2152 (cond ((eq (car a) 'frac)
2153 (math-make-frac (math-normalize (nth 1 a))
2154 (math-normalize (nth 2 a))))
2156 (let ((real (math-normalize (nth 1 a)))
2157 (imag (math-normalize (nth 2 a))))
2158 (if (and (math-zerop imag)
2159 (not math-simplify-only)) ; oh, what a kludge!
2161 (list 'cplx real imag))))
2162 ((eq (car a) 'polar)
2163 (math-normalize-polar a))
2165 (math-normalize-hms a))
2167 (list 'date (math-normalize (nth 1 a))))
2169 (math-normalize-mod a))
2171 (let ((x (math-normalize (nth 1 a)))
2172 (s (math-normalize (nth 2 a))))
2173 (if (or (and (Math-objectp x) (not (Math-scalarp x)))
2174 (and (Math-objectp s) (not (Math-scalarp s))))
2175 (list 'calcFunc-sdev x s)
2176 (math-make-sdev x s))))
2178 (let ((mask (math-normalize (nth 1 a)))
2179 (lo (math-normalize (nth 2 a)))
2180 (hi (math-normalize (nth 3 a))))
2181 (if (if (eq (car-safe lo) 'date)
2182 (not (eq (car-safe hi) 'date))
2183 (or (and (Math-objectp lo) (not (Math-anglep lo)))
2184 (and (Math-objectp hi) (not (Math-anglep hi)))))
2185 (list 'calcFunc-intv mask lo hi)
2186 (math-make-intv mask lo hi))))
2188 (cons 'vec (mapcar 'math-normalize (cdr a))))
2189 ((eq (car a) 'quote)
2190 (math-normalize (nth 1 a)))
2191 ((eq (car a) 'special-const)
2192 (calc-with-default-simplification
2193 (math-normalize (nth 1 a))))
2195 (cons 'var (cdr a))) ; need to re-cons for selection routines
2196 ((eq (car a) 'calcFunc-if)
2197 (math-normalize-logical-op a))
2198 ((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition))
2199 (let ((calc-simplify-mode 'none))
2200 (cons (car a) (mapcar 'math-normalize (cdr a)))))
2201 ((eq (car a) 'calcFunc-evalto)
2202 (setq a (or (nth 1 a) 0))
2203 (or calc-refreshing-evaltos
2204 (setq a (let ((calc-simplify-mode 'none)) (math-normalize a))))
2205 (let ((b (if (and (eq (car-safe a) 'calcFunc-assign)
2209 (list 'calcFunc-evalto
2211 (if (eq calc-simplify-mode 'none)
2213 (calc-with-default-simplification
2214 (math-evaluate-expr b))))))
2215 ((or (integerp (car a)) (consp (car a)))
2217 (math-normalize (car a))
2218 (error "Can't use multi-valued function in an expression")))))
2220 (defun math-normalize-nonstandard ()
2221 (if (consp calc-simplify-mode)
2223 (setq calc-simplify-mode 'none
2224 math-simplify-only (car-safe (cdr-safe math-normalize-a)))
2226 (and (symbolp (car math-normalize-a))
2227 (or (eq calc-simplify-mode 'none)
2228 (and (eq calc-simplify-mode 'num)
2229 (let ((aptr (setq math-normalize-a
2231 (car math-normalize-a)
2232 (mapcar 'math-normalize
2233 (cdr math-normalize-a))))))
2234 (while (and aptr (math-constp (car aptr)))
2235 (setq aptr (cdr aptr)))
2237 (cons (car math-normalize-a)
2238 (mapcar 'math-normalize (cdr math-normalize-a))))))
2241 ;;; Normalize a bignum digit list by trimming high-end zeros. [L l]
2242 (defun math-norm-bignum (a)
2243 (let ((digs a) (last nil))
2245 (or (eq (car digs) 0) (setq last digs))
2246 (setq digs (cdr digs)))
2252 (defun math-bignum-test (a) ; [B N; B s; b b]
2258 ;;; Return 0 for zero, -1 for negative, 1 for positive. [S n] [Public]
2259 (defun calcFunc-sign (a &optional x)
2260 (let ((signs (math-possible-signs a)))
2261 (cond ((eq signs 4) (or x 1))
2263 ((eq signs 1) (if x (math-neg x) -1))
2264 ((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a))))
2265 (t (calc-record-why 'realp a)
2267 (list 'calcFunc-sign a x)
2268 (list 'calcFunc-sign a))))))
2270 ;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more.
2271 ;;; Arguments must be normalized! [S N N]
2272 (defun math-compare (a b)
2275 (memq (car a) '(var neg * /))
2279 ((and (integerp a) (Math-integerp b))
2281 (if (eq (car b) 'bigpos) -1 1)
2283 ((and (eq (car-safe a) 'bigpos) (Math-integerp b))
2284 (if (eq (car-safe b) 'bigpos)
2285 (math-compare-bignum (cdr a) (cdr b))
2287 ((and (eq (car-safe a) 'bigneg) (Math-integerp b))
2288 (if (eq (car-safe b) 'bigneg)
2289 (math-compare-bignum (cdr b) (cdr a))
2291 ((eq (car-safe a) 'frac)
2292 (if (eq (car-safe b) 'frac)
2293 (math-compare (math-mul (nth 1 a) (nth 2 b))
2294 (math-mul (nth 1 b) (nth 2 a)))
2295 (math-compare (nth 1 a) (math-mul b (nth 2 a)))))
2296 ((eq (car-safe b) 'frac)
2297 (math-compare (math-mul a (nth 2 b)) (nth 1 b)))
2298 ((and (eq (car-safe a) 'float) (eq (car-safe b) 'float))
2299 (if (math-lessp-float a b) -1 1))
2300 ((and (eq (car-safe a) 'date) (eq (car-safe b) 'date))
2301 (math-compare (nth 1 a) (nth 1 b)))
2302 ((and (or (Math-anglep a)
2303 (and (eq (car a) 'cplx) (eq (nth 2 a) 0)))
2305 (and (eq (car b) 'cplx) (eq (nth 2 b) 0))))
2306 (calcFunc-sign (math-add a (math-neg b))))
2307 ((and (eq (car-safe a) 'intv)
2308 (or (Math-anglep b) (eq (car-safe b) 'date)))
2309 (let ((res (math-compare (nth 2 a) b)))
2310 (cond ((eq res 1) 1)
2311 ((and (eq res 0) (memq (nth 1 a) '(0 1))) 1)
2312 ((eq (setq res (math-compare (nth 3 a) b)) -1) -1)
2313 ((and (eq res 0) (memq (nth 1 a) '(0 2))) -1)
2315 ((and (eq (car-safe b) 'intv)
2316 (or (Math-anglep a) (eq (car-safe a) 'date)))
2317 (let ((res (math-compare a (nth 2 b))))
2318 (cond ((eq res -1) -1)
2319 ((and (eq res 0) (memq (nth 1 b) '(0 1))) -1)
2320 ((eq (setq res (math-compare a (nth 3 b))) 1) 1)
2321 ((and (eq res 0) (memq (nth 1 b) '(0 2))) 1)
2323 ((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv))
2324 (let ((res (math-compare (nth 3 a) (nth 2 b))))
2325 (cond ((eq res -1) -1)
2326 ((and (eq res 0) (or (memq (nth 1 a) '(0 2))
2327 (memq (nth 1 b) '(0 1)))) -1)
2328 ((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1)
2329 ((and (eq res 0) (or (memq (nth 1 a) '(0 1))
2330 (memq (nth 1 b) '(0 2)))) 1)
2333 (if (or (equal a '(var uinf var-uinf))
2334 (equal a '(var nan var-nan)))
2336 (let ((dira (math-infinite-dir a)))
2337 (if (math-infinitep b)
2338 (if (or (equal b '(var uinf var-uinf))
2339 (equal b '(var nan var-nan)))
2341 (let ((dirb (math-infinite-dir b)))
2342 (cond ((and (eq dira 1) (eq dirb -1)) 1)
2343 ((and (eq dira -1) (eq dirb 1)) -1)
2345 (cond ((eq dira 1) 1)
2349 (if (or (equal b '(var uinf var-uinf))
2350 (equal b '(var nan var-nan)))
2352 (let ((dirb (math-infinite-dir b)))
2353 (cond ((eq dirb 1) -1)
2356 ((and (eq (car-safe a) 'calcFunc-exp)
2357 (eq (car-safe b) '^)
2358 (equal (nth 1 b) '(var e var-e)))
2359 (math-compare (nth 1 a) (nth 2 b)))
2360 ((and (eq (car-safe b) 'calcFunc-exp)
2361 (eq (car-safe a) '^)
2362 (equal (nth 1 a) '(var e var-e)))
2363 (math-compare (nth 2 a) (nth 1 b)))
2364 ((or (and (eq (car-safe a) 'calcFunc-sqrt)
2365 (eq (car-safe b) '^)
2366 (or (equal (nth 2 b) '(frac 1 2))
2367 (equal (nth 2 b) '(float 5 -1))))
2368 (and (eq (car-safe b) 'calcFunc-sqrt)
2369 (eq (car-safe a) '^)
2370 (or (equal (nth 2 a) '(frac 1 2))
2371 (equal (nth 2 a) '(float 5 -1)))))
2372 (math-compare (nth 1 a) (nth 1 b)))
2373 ((eq (car-safe a) 'var)
2376 (if (and (consp a) (consp b)
2377 (eq (car a) (car b))
2378 (math-compare-lists (cdr a) (cdr b)))
2382 ;;; Compare two bignum digit lists, return -1 for A<B, 0 for A=B, 1 for A>B.
2383 (defun math-compare-bignum (a b) ; [S l l]
2386 (if (< (car a) (car b))
2388 (if (> (car a) (car b))
2394 (while (eq (car a) 0) (setq a (cdr a)))
2396 (while (eq (car b) 0) (setq b (cdr b)))
2399 (defun math-compare-lists (a b)
2400 (cond ((null a) (null b))
2402 (t (and (Math-equal (car a) (car b))
2403 (math-compare-lists (cdr a) (cdr b))))))
2405 (defun math-lessp-float (a b) ; [P F F]
2406 (let ((ediff (- (nth 2 a) (nth 2 b))))
2408 (if (>= ediff (+ calc-internal-prec calc-internal-prec))
2409 (if (eq (nth 1 a) 0)
2410 (Math-integer-posp (nth 1 b))
2411 (Math-integer-negp (nth 1 a)))
2412 (Math-lessp (math-scale-int (nth 1 a) ediff)
2414 (if (>= (setq ediff (- ediff))
2415 (+ calc-internal-prec calc-internal-prec))
2416 (if (eq (nth 1 b) 0)
2417 (Math-integer-negp (nth 1 a))
2418 (Math-integer-posp (nth 1 b)))
2419 (Math-lessp (nth 1 a)
2420 (math-scale-int (nth 1 b) ediff))))))
2422 ;;; True if A is numerically equal to B. [P N N] [Public]
2423 (defun math-equal (a b)
2424 (= (math-compare a b) 0))
2426 ;;; True if A is numerically less than B. [P R R] [Public]
2427 (defun math-lessp (a b)
2428 (= (math-compare a b) -1))
2430 ;;; True if A is numerically equal to the integer B. [P N S] [Public]
2431 ;;; B must not be a multiple of 10.
2432 (defun math-equal-int (a b)
2434 (and (eq (car-safe a) 'float)
2441 ;;; Return the dimensions of a matrix as a list. [l x] [Public]
2442 (defun math-mat-dimens (m)
2443 (if (math-vectorp m)
2444 (if (math-matrixp m)
2445 (cons (1- (length m))
2446 (math-mat-dimens (nth 1 m)))
2447 (list (1- (length m))))
2452 (defun calc-binary-op-fancy (name func arg ident unary)
2453 (let ((n (prefix-numeric-value arg)))
2455 (calc-enter-result n
2457 (list 'calcFunc-reduce
2458 (math-calcFunc-to-var func)
2459 (cons 'vec (calc-top-list-n n)))))
2462 (calc-enter-result 1 name (list unary (calc-top-n 1)))))
2465 (calc-enter-result 0 name ident)
2466 (error "Argument must be nonzero")))
2468 (let ((rhs (calc-top-n 1)))
2469 (calc-enter-result (- 1 n)
2474 (calc-top-list-n (- n) 2))))))))
2476 (defun calc-unary-op-fancy (name func arg)
2477 (let ((n (prefix-numeric-value arg)))
2478 (if (= n 0) (setq n (calc-stack-size)))
2480 (calc-enter-result n
2485 (calc-top-list-n n))))
2487 (calc-enter-result 1
2489 (list func (calc-top-n (- n)))
2492 (defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun)))
2493 (defvar var-Decls (list 'vec))
2496 (defun math-inexact-result ()
2497 (and calc-symbolic-mode
2498 (signal 'inexact-result nil)))
2500 (defun math-overflow (&optional exp)
2501 (if (and exp (math-negp exp))
2503 (signal 'math-overflow nil)))
2505 (defun math-underflow ()
2506 (signal 'math-underflow nil))
2508 ;;; Compute the greatest common divisor of A and B. [I I I] [Public]
2509 (defun math-gcd (a b)
2510 (cond ((not (or (consp a) (consp b)))
2511 (if (< a 0) (setq a (- a)))
2512 (if (< b 0) (setq b (- b)))
2524 (if (Math-integer-negp a) (setq a (math-neg a)))
2525 (if (Math-integer-negp b) (setq b (math-neg b)))
2527 (if (Math-natnum-lessp a b)
2529 (while (and (consp a) (not (eq b 0)))
2542 ;;; Evaluate variables in an expression.
2543 (defun math-evaluate-expr (x) ; [Public]
2544 (if calc-embedded-info
2545 (calc-embedded-evaluate-expr x)
2546 (calc-normalize (math-evaluate-expr-rec x))))
2548 (defalias 'calcFunc-evalv 'math-evaluate-expr)
2550 (defun calcFunc-evalvn (x &optional prec)
2553 (or (math-num-integerp prec)
2554 (if (and (math-vectorp prec)
2556 (math-num-integerp (nth 1 prec)))
2557 (setq prec (math-add (nth 1 prec) calc-internal-prec))
2558 (math-reject-arg prec 'integerp)))
2559 (setq prec (math-trunc prec))
2560 (if (< prec 3) (setq prec 3))
2561 (if (> prec calc-internal-prec)
2563 (let ((calc-internal-prec prec))
2564 (calcFunc-evalvn x)))
2565 (let ((calc-internal-prec prec))
2566 (calcFunc-evalvn x))))
2567 (let ((calc-symbolic-mode nil))
2568 (math-evaluate-expr x))))
2570 (defun math-evaluate-expr-rec (x)
2572 (if (memq (car x) '(calcFunc-quote calcFunc-condition
2573 calcFunc-evalto calcFunc-assign))
2574 (if (and (eq (car x) 'calcFunc-assign)
2576 (list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x)))
2578 (if (eq (car x) 'var)
2579 (if (and (calc-var-value (nth 2 x))
2580 (not (eq (car-safe (symbol-value (nth 2 x)))
2582 (let ((val (symbol-value (nth 2 x))))
2583 (if (eq (car-safe val) 'special-const)
2584 (if calc-symbolic-mode
2591 (cons (car x) (mapcar 'math-evaluate-expr-rec (cdr x))))))
2594 (defmacro math-defsimplify (funcs &rest code)
2595 (append '(progn (math-need-std-simps))
2598 (list 'put (list 'quote func) ''math-simplify
2600 (list 'get (list 'quote func) ''math-simplify)
2603 (append '(lambda (math-simplify-expr))
2605 (if (symbolp funcs) (list funcs) funcs))))
2606 (put 'math-defsimplify 'lisp-indent-hook 1)
2608 (defun math-any-floats (expr)
2609 (if (Math-primp expr)
2611 (while (and (setq expr (cdr expr)) (not (math-any-floats (car expr)))))
2614 (defvar var-FactorRules 'calc-FactorRules)
2616 (defvar math-mt-many nil)
2617 (defvar math-mt-func nil)
2619 (defun math-map-tree (math-mt-func mmt-expr &optional math-mt-many)
2620 (or math-mt-many (setq math-mt-many 1000000))
2621 (math-map-tree-rec mmt-expr))
2623 (defun math-map-tree-rec (mmt-expr)
2624 (or (= math-mt-many 0)
2625 (let ((mmt-done nil)
2627 (while (not mmt-done)
2628 (while (and (/= math-mt-many 0)
2629 (setq mmt-nextval (funcall math-mt-func mmt-expr))
2630 (not (equal mmt-expr mmt-nextval)))
2631 (setq mmt-expr mmt-nextval
2632 math-mt-many (if (> math-mt-many 0)
2634 (1+ math-mt-many))))
2635 (if (or (Math-primp mmt-expr)
2636 (<= math-mt-many 0))
2638 (setq mmt-nextval (cons (car mmt-expr)
2639 (mapcar 'math-map-tree-rec
2641 (if (equal mmt-nextval mmt-expr)
2643 (setq mmt-expr mmt-nextval))))))
2646 (defun math-is-true (expr)
2647 (if (Math-numberp expr)
2648 (not (Math-zerop expr))
2649 (math-known-nonzerop expr)))
2651 (defun math-const-var (expr)
2653 (eq (car expr) 'var)
2654 (or (and (symbolp (nth 2 expr))
2655 (boundp (nth 2 expr))
2656 (eq (car-safe (symbol-value (nth 2 expr))) 'special-const))
2657 (memq (nth 2 expr) '(var-inf var-uinf var-nan)))))
2659 (defmacro math-defintegral (funcs &rest code)
2660 (setq math-integral-cache nil)
2664 (list 'put (list 'quote func) ''math-integral
2666 (list 'get (list 'quote func) ''math-integral)
2669 (append '(lambda (u))
2671 (if (symbolp funcs) (list funcs) funcs))))
2672 (put 'math-defintegral 'lisp-indent-hook 1)
2674 (defmacro math-defintegral-2 (funcs &rest code)
2675 (setq math-integral-cache nil)
2679 (list 'put (list 'quote func) ''math-integral-2
2681 (list 'get (list 'quote func)
2685 (append '(lambda (u v))
2687 (if (symbolp funcs) (list funcs) funcs))))
2688 (put 'math-defintegral-2 'lisp-indent-hook 1)
2690 (defvar var-IntegAfterRules 'calc-IntegAfterRules)
2692 (defvar var-FitRules 'calc-FitRules)
2694 (defvar math-poly-base-variable nil)
2695 (defvar math-poly-neg-powers nil)
2696 (defvar math-poly-mult-powers 1)
2697 (defvar math-poly-frac-powers nil)
2698 (defvar math-poly-exp-base nil)
2700 (defun math-build-var-name (name)
2702 (setq name (intern name)))
2703 (if (string-match "\\`var-." (symbol-name name))
2704 (list 'var (intern (substring (symbol-name name) 4)) name)
2705 (list 'var name (intern (concat "var-" (symbol-name name))))))
2707 (defvar math-simplifying-units nil)
2708 (defvar math-combining-units t)
2710 ;;; Nontrivial number parsing.
2712 (defun math-read-number-fancy (s)
2715 ;; Integer+fractions
2716 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2717 (let ((int (math-match-substring s 1))
2718 (num (math-match-substring s 2))
2719 (den (math-match-substring s 3)))
2720 (let ((int (if (> (length int) 0) (math-read-number int) 0))
2721 (num (if (> (length num) 0) (math-read-number num) 1))
2722 (den (if (> (length num) 0) (math-read-number den) 1)))
2724 (math-integerp int) (math-integerp num) (math-integerp den)
2725 (not (math-zerop den))
2726 (list 'frac (math-add num (math-mul int den)) den)))))
2729 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2730 (let ((num (math-match-substring s 1))
2731 (den (math-match-substring s 2)))
2732 (let ((num (if (> (length num) 0) (math-read-number num) 1))
2733 (den (if (> (length num) 0) (math-read-number den) 1)))
2734 (and num den (math-integerp num) (math-integerp den)
2735 (not (math-zerop den))
2736 (list 'frac num den)))))
2739 ((string-match "^\\(.*\\) *mod *\\(.*\\)$" s)
2740 (let* ((n (math-match-substring s 1))
2741 (m (math-match-substring s 2))
2742 (n (math-read-number n))
2743 (m (math-read-number m)))
2744 (and n m (math-anglep n) (math-anglep m)
2748 ((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s)
2749 (let* ((x (math-match-substring s 1))
2750 (sigma (math-match-substring s 2))
2751 (x (math-read-number x))
2752 (sigma (math-read-number sigma)))
2753 (and x sigma (math-scalarp x) (math-anglep sigma)
2754 (list 'sdev x sigma))))
2756 ;; Hours (or degrees)
2757 ((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s)
2758 (string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s))
2759 (let* ((hours (math-match-substring s 1))
2760 (minsec (math-match-substring s 2))
2761 (hours (math-read-number hours))
2762 (minsec (if (> (length minsec) 0) (math-read-number minsec) 0)))
2764 (math-num-integerp hours)
2765 (not (math-negp hours)) (not (math-negp minsec))
2766 (cond ((math-num-integerp minsec)
2767 (and (Math-lessp minsec 60)
2768 (list 'hms hours minsec 0)))
2769 ((and (eq (car-safe minsec) 'hms)
2770 (math-zerop (nth 1 minsec)))
2771 (math-add (list 'hms hours 0 0) minsec))
2775 ((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s)
2776 (let* ((minutes (math-match-substring s 1))
2777 (seconds (math-match-substring s 2))
2778 (minutes (math-read-number minutes))
2779 (seconds (if (> (length seconds) 0) (math-read-number seconds) 0)))
2780 (and minutes seconds
2781 (math-num-integerp minutes)
2782 (not (math-negp minutes)) (not (math-negp seconds))
2783 (cond ((math-realp seconds)
2784 (and (Math-lessp minutes 60)
2785 (list 'hms 0 minutes seconds)))
2786 ((and (eq (car-safe seconds) 'hms)
2787 (math-zerop (nth 1 seconds))
2788 (math-zerop (nth 2 seconds)))
2789 (math-add (list 'hms 0 minutes 0) seconds))
2793 ((string-match "^\\([^\"#^]+\\)[sS\"]$" s)
2794 (let ((seconds (math-read-number (math-match-substring s 1))))
2795 (and seconds (math-realp seconds)
2796 (not (math-negp seconds))
2797 (Math-lessp seconds 60)
2798 (list 'hms 0 0 seconds))))
2800 ;; Integer+fraction with explicit radix
2801 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s)
2802 (let ((radix (string-to-int (math-match-substring s 1)))
2803 (int (math-match-substring s 3))
2804 (num (math-match-substring s 4))
2805 (den (math-match-substring s 5)))
2806 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2807 (num (if (> (length num) 0) (math-read-radix num radix) 1))
2808 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2809 (and int num den (not (math-zerop den))
2811 (math-add num (math-mul int den))
2814 ;; Fraction with explicit radix
2815 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s)
2816 (let ((radix (string-to-int (math-match-substring s 1)))
2817 (num (math-match-substring s 3))
2818 (den (math-match-substring s 4)))
2819 (let ((num (if (> (length num) 0) (math-read-radix num radix) 1))
2820 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2821 (and num den (not (math-zerop den)) (list 'frac num den)))))
2823 ;; Float with explicit radix and exponent
2824 ((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s)
2825 (string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s))
2826 (let ((radix (string-to-int (math-match-substring s 2)))
2827 (mant (math-match-substring s 1))
2828 (exp (math-match-substring s 4)))
2829 (let ((mant (math-read-number mant))
2830 (exp (math-read-number exp)))
2832 (math-mul mant (math-pow (math-float radix) exp))))))
2834 ;; Float with explicit radix, no exponent
2835 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s)
2836 (let ((radix (string-to-int (math-match-substring s 1)))
2837 (int (math-match-substring s 3))
2838 (fracs (math-match-substring s 4)))
2839 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2840 (frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0))
2841 (calc-prefer-frac nil))
2843 (math-add int (math-div frac (math-pow radix (length fracs))))))))
2845 ;; Integer with explicit radix
2846 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s)
2847 (math-read-radix (math-match-substring s 3)
2848 (string-to-int (math-match-substring s 1))))
2850 ;; C language hexadecimal notation
2851 ((and (eq calc-language 'c)
2852 (string-match "^0[xX]\\([0-9a-fA-F]+\\)$" s))
2853 (let ((digs (math-match-substring s 1)))
2854 (math-read-radix digs 16)))
2856 ;; Pascal language hexadecimal notation
2857 ((and (eq calc-language 'pascal)
2858 (string-match "^\\$\\([0-9a-fA-F]+\\)$" s))
2859 (let ((digs (math-match-substring s 1)))
2860 (math-read-radix digs 16)))
2862 ;; Fraction using "/" instead of ":"
2863 ((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s)
2864 (math-read-number (concat (math-match-substring s 1) ":"
2865 (math-match-substring s 2))))
2870 (defun math-read-radix (s r) ; [I X D]
2875 (while (and (< i (length s))
2876 (setq dig (math-read-radix-digit (elt s i)))
2878 (setq res (math-add (math-mul res r) dig)
2880 (and (= i (length s))
2885 ;;; Expression parsing.
2887 (defvar math-expr-data)
2889 (defun math-read-expr (math-exp-str)
2890 (let ((math-exp-pos 0)
2891 (math-exp-old-pos 0)
2892 (math-exp-keep-spaces nil)
2893 math-exp-token math-expr-data)
2894 (while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
2895 (setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots"
2896 (substring math-exp-str (+ math-exp-token 2)))))
2897 (math-build-parse-table)
2899 (let ((val (catch 'syntax (math-read-expr-level 0))))
2901 (list 'error math-exp-old-pos val)
2902 (if (equal math-exp-token 'end)
2904 (list 'error math-exp-old-pos "Syntax error"))))))
2906 (defun math-read-plain-expr (exp-str &optional error-check)
2907 (let* ((calc-language nil)
2908 (math-expr-opers math-standard-opers)
2909 (val (math-read-expr exp-str)))
2911 (eq (car-safe val) 'error)
2912 (error "%s: %s" (nth 2 val) exp-str))
2916 (defun math-read-string ()
2917 (let ((str (read-from-string (concat math-expr-data "\""))))
2918 (or (and (= (cdr str) (1+ (length math-expr-data)))
2919 (stringp (car str)))
2920 (throw 'syntax "Error in string constant"))
2922 (append '(vec) (car str) nil)))
2926 ;;; They said it couldn't be done...
2928 (defun math-read-big-expr (str)
2929 (and (> (length calc-left-label) 0)
2930 (string-match (concat "^" (regexp-quote calc-left-label)) str)
2931 (setq str (concat (substring str 0 (match-beginning 0))
2932 (substring str (match-end 0)))))
2933 (and (> (length calc-right-label) 0)
2934 (string-match (concat (regexp-quote calc-right-label) " *$") str)
2935 (setq str (concat (substring str 0 (match-beginning 0))
2936 (substring str (match-end 0)))))
2937 (if (string-match "\\\\[^ \n|]" str)
2938 (if (eq calc-language 'tex)
2939 (math-read-expr str)
2940 (let ((calc-language 'tex)
2941 (calc-language-option nil)
2942 (math-expr-opers (get 'tex 'math-oper-table))
2943 (math-expr-function-mapping (get 'tex 'math-function-table))
2944 (math-expr-variable-mapping (get 'tex 'math-variable-table)))
2945 (math-read-expr str)))
2952 (while (setq new-pos (string-match "\n" str pos))
2953 (setq lines (cons (substring str pos new-pos) lines)
2955 (setq lines (nreverse (cons (substring str pos) lines))
2958 (setq width (max width (length (car p)))
2960 (if (math-read-big-bigp lines)
2962 (math-read-big-rec 0 0 width (length lines)))
2964 '(error 0 "Syntax error"))
2965 (math-read-expr str)))))
2967 (defun math-read-big-bigp (lines)
2971 (height (if (> (length (car lines)) 0) 1 0)))
2972 (while (and (cdr lines)
2977 (len (min (length l1) (length l2))))
2978 (if (> (length l2) 0)
2979 (setq height (1+ height)))
2980 (while (and (< i len)
2981 (or (memq (aref l1 i) '(?\ ?\- ?\_))
2982 (memq (aref l2 i) '(?\ ?\-))
2983 (and (memq (aref l1 i) '(?\| ?\,))
2984 (= (aref l2 i) (aref l1 i)))
2985 (and (eq (aref l1 i) ?\[)
2986 (eq (aref l2 i) ?\[)
2987 (let ((h2 (length l1)))
2988 (setq j (math-read-big-balance
2993 (and (eq (aref l1 i) ?\[)
2994 (eq (aref l2 i) ?\[)
2997 (setq lines (cdr lines)
2999 (or (and (> height 1)
3003 ;;; Nontrivial "flat" formatting.
3005 (defvar math-format-hash-args nil)
3006 (defvar calc-can-abbrev-vectors nil)
3008 (defun math-format-flat-expr-fancy (a prec)
3010 ((eq (car a) 'incomplete)
3011 (format "<incomplete %s>" (nth 1 a)))
3013 (if (or calc-full-trail-vectors (not calc-can-abbrev-vectors)
3015 (concat "[" (math-format-flat-vector (cdr a) ", "
3016 (if (cdr (cdr a)) 0 1000)) "]")
3018 (math-format-flat-expr (nth 1 a) 0) ", "
3019 (math-format-flat-expr (nth 2 a) 0) ", "
3020 (math-format-flat-expr (nth 3 a) 0) ", ..., "
3021 (math-format-flat-expr (nth (1- (length a)) a) 0) "]")))
3023 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3024 (math-format-flat-expr (nth 2 a) 1000)
3026 (math-format-flat-expr (nth 3 a) 1000)
3027 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3029 (concat "<" (math-format-date a) ">"))
3030 ((and (eq (car a) 'calcFunc-lambda) (> (length a) 2))
3032 (ap calc-arg-values)
3033 (math-format-hash-args (if (= (length a) 3) 1 t)))
3034 (while (and (cdr p) (equal (car p) (car ap)))
3035 (setq p (cdr p) ap (cdr ap)))
3038 (concat (math-format-flat-vector
3039 (nreverse (cdr (reverse (cdr a)))) ", " 0)
3042 (math-format-flat-expr (nth (1- (length a)) a) 0)
3045 (or (and math-format-hash-args
3046 (let ((p calc-arg-values) (v 1))
3047 (while (and p (not (equal (car p) a)))
3048 (setq p (and (eq math-format-hash-args t) (cdr p))
3051 (if (eq math-format-hash-args 1)
3053 (format "#%d" v)))))
3054 (symbol-name (nth 1 a))))
3055 ((and (memq (car a) '(calcFunc-string calcFunc-bstring))
3057 (math-vectorp (nth 1 a))
3058 (math-vector-is-string (nth 1 a)))
3059 (concat (substring (symbol-name (car a)) 9)
3060 "(" (math-vector-to-string (nth 1 a) t) ")"))
3062 (let ((op (math-assq2 (car a) math-standard-opers)))
3063 (cond ((and op (= (length a) 3))
3064 (if (> prec (min (nth 2 op) (nth 3 op)))
3065 (concat "(" (math-format-flat-expr a 0) ")")
3066 (let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op)))
3067 (rhs (math-format-flat-expr (nth 2 a) (nth 3 op))))
3069 (if (or (equal op "^") (equal op "_"))
3070 (if (= (aref lhs 0) ?-)
3071 (setq lhs (concat "(" lhs ")")))
3072 (setq op (concat " " op " ")))
3073 (concat lhs op rhs))))
3075 (concat "-" (math-format-flat-expr (nth 1 a) 1000)))
3077 (concat (math-remove-dashes
3078 (if (string-match "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
3079 (symbol-name (car a)))
3080 (math-match-substring (symbol-name (car a)) 1)
3081 (symbol-name (car a))))
3083 (math-format-flat-vector (cdr a) ", " 0)
3086 (defun math-format-flat-vector (vec sep prec)
3088 (let ((buf (math-format-flat-expr (car vec) prec)))
3089 (while (setq vec (cdr vec))
3090 (setq buf (concat buf sep (math-format-flat-expr (car vec) prec))))
3094 (defun math-format-nice-expr (x w)
3095 (cond ((and (eq (car-safe x) 'vec)
3097 (let ((ops '(vec calcFunc-assign calcFunc-condition
3098 calcFunc-schedule calcFunc-iterations
3100 (or (memq (car-safe (nth 1 x)) ops)
3101 (memq (car-safe (nth 2 x)) ops)
3102 (memq (car-safe (nth 3 x)) ops)
3103 calc-break-vectors)))
3104 (concat "[ " (math-format-flat-vector (cdr x) ",\n " 0) " ]"))
3106 (let ((str (math-format-flat-expr x 0))
3108 (or (string-match "\"" str)
3109 (while (<= (setq p (+ pos w)) (length str))
3110 (while (and (> (setq p (1- p)) pos)
3111 (not (= (aref str p) ? ))))
3113 (setq str (concat (substring str 0 p)
3117 (setq pos (+ pos w)))))
3120 (defun math-assq2 (v a)
3121 (while (and a (not (eq v (nth 1 (car a)))))
3125 (defun math-format-number-fancy (a prec)
3127 ((eq (car a) 'float) ; non-decimal radix
3128 (if (Math-integer-negp (nth 1 a))
3129 (concat "-" (math-format-number (math-neg a)))
3130 (let ((str (if (and calc-radix-formatter
3131 (not (memq calc-language '(c pascal))))
3132 (funcall calc-radix-formatter
3134 (math-format-radix-float a prec))
3135 (format "%d#%s" calc-number-radix
3136 (math-format-radix-float a prec)))))
3137 (if (and prec (> prec 191) (string-match "\\*" str))
3138 (concat "(" str ")")
3141 (setq a (math-adjust-fraction a))
3142 (if (> (length (car calc-frac-format)) 1)
3143 (if (Math-integer-negp (nth 1 a))
3144 (concat "-" (math-format-number (math-neg a)))
3145 (let ((q (math-idivmod (nth 1 a) (nth 2 a))))
3146 (concat (let ((calc-frac-format nil))
3147 (math-format-number (car q)))
3148 (substring (car calc-frac-format) 0 1)
3149 (let ((math-radix-explicit-format nil)
3150 (calc-frac-format nil))
3151 (math-format-number (cdr q)))
3152 (substring (car calc-frac-format) 1 2)
3153 (let ((math-radix-explicit-format nil)
3154 (calc-frac-format nil))
3155 (math-format-number (nth 2 a))))))
3156 (concat (let ((calc-frac-format nil))
3157 (math-format-number (nth 1 a)))
3158 (car calc-frac-format)
3159 (let ((math-radix-explicit-format nil)
3160 (calc-frac-format nil))
3161 (math-format-number (nth 2 a))))))
3163 (if (math-zerop (nth 2 a))
3164 (math-format-number (nth 1 a))
3165 (if (null calc-complex-format)
3166 (concat "(" (math-format-number (nth 1 a))
3167 ", " (math-format-number (nth 2 a)) ")")
3168 (if (math-zerop (nth 1 a))
3169 (if (math-equal-int (nth 2 a) 1)
3170 (symbol-name calc-complex-format)
3171 (if (math-equal-int (nth 2 a) -1)
3172 (concat "-" (symbol-name calc-complex-format))
3174 (math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec)
3175 (concat (math-format-number (nth 2 a)) " "
3176 (symbol-name calc-complex-format)))))
3178 (math-compose-expr (list (if (math-negp (nth 2 a)) '- '+)
3180 (list 'cplx 0 (math-abs (nth 2 a))))
3182 (concat (math-format-number (nth 1 a))
3183 (if (math-negp (nth 2 a)) " - " " + ")
3185 (list 'cplx 0 (math-abs (nth 2 a))))))))))
3186 ((eq (car a) 'polar)
3187 (concat "(" (math-format-number (nth 1 a))
3188 "; " (math-format-number (nth 2 a)) ")"))
3191 (concat "-" (math-format-number (math-neg a)))
3192 (let ((calc-number-radix 10)
3193 (calc-leading-zeros nil)
3194 (calc-group-digits nil))
3195 (format calc-hms-format
3196 (let ((calc-frac-format '(":" nil)))
3197 (math-format-number (nth 1 a)))
3198 (let ((calc-frac-format '(":" nil)))
3199 (math-format-number (nth 2 a)))
3200 (math-format-number (nth 3 a))))))
3202 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3203 (math-format-number (nth 2 a))
3205 (math-format-number (nth 3 a))
3206 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3208 (concat (math-format-number (nth 1 a))
3210 (math-format-number (nth 2 a))))
3212 (math-format-flat-expr a 0))
3213 (t (format "%s" a))))
3215 (defun math-adjust-fraction (a)
3216 (if (nth 1 calc-frac-format)
3218 (if (Math-integerp a) (setq a (list 'frac a 1)))
3219 (let ((g (math-quotient (nth 1 calc-frac-format)
3221 (nth 1 calc-frac-format)))))
3222 (list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g))))
3225 (defun math-format-bignum-fancy (a) ; [X L]
3226 (let ((str (cond ((= calc-number-radix 10)
3227 (math-format-bignum-decimal a))
3228 ((= calc-number-radix 2)
3229 (math-format-bignum-binary a))
3230 ((= calc-number-radix 8)
3231 (math-format-bignum-octal a))
3232 ((= calc-number-radix 16)
3233 (math-format-bignum-hex a))
3234 (t (math-format-bignum-radix a)))))
3235 (if calc-leading-zeros
3236 (let* ((calc-internal-prec 6)
3237 (digs (math-compute-max-digits (math-abs calc-word-size)
3241 (setq str (concat (make-string (- digs len) ?0) str)))))
3242 (if calc-group-digits
3243 (let ((i (length str))
3244 (g (if (integerp calc-group-digits)
3245 (math-abs calc-group-digits)
3246 (if (memq calc-number-radix '(2 16)) 4 3))))
3249 str (concat (substring str 0 i)
3251 (substring str i))))
3253 (if (and (/= calc-number-radix 10)
3254 math-radix-explicit-format)
3255 (if calc-radix-formatter
3256 (funcall calc-radix-formatter calc-number-radix str)
3257 (format "%d#%s" calc-number-radix str))
3261 (defun math-group-float (str) ; [X X]
3262 (let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str)))
3263 (g (if (integerp calc-group-digits) (math-abs calc-group-digits) 3))
3265 (if (and (integerp calc-group-digits) (< calc-group-digits 0))
3266 (while (< (setq i (+ (1+ i) g)) (length str))
3267 (setq str (concat (substring str 0 i)
3270 i (+ i (1- (length calc-group-char))))))
3274 str (concat (substring str 0 i)
3276 (substring str i))))
3279 ;;; Users can redefine this in their .emacs files.
3280 (defvar calc-keypad-user-menu nil
3281 "If non-nil, this describes an additional menu for calc-keypad.
3282 It should contain a list of three rows.
3283 Each row should be a list of six keys.
3284 Each key should be a list of a label string, plus a Calc command name spec.
3285 A command spec is a command name symbol, a keyboard macro string, a
3286 list containing a numeric entry string, or nil.
3287 A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.")
3289 (run-hooks 'calc-ext-load-hook)
3291 ;;; arch-tag: 1814ba7f-a390-49dc-9e25-a5adc205e97e
3292 ;;; calc-ext.el ends here
HCoop / bpt / emacs.git / blob