1 ;;; calc-ext.el --- various extension functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001, 2002, 2003, 2004,
4 ;; 2005, 2006, 2007 Free Software Foundation, Inc.
6 ;; Author: David Gillespie <daveg@synaptics.com>
7 ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com>
9 ;; This file is part of GNU Emacs.
11 ;; GNU Emacs is free software; you can redistribute it and/or modify
12 ;; it under the terms of the GNU General Public License as published by
13 ;; the Free Software Foundation; either version 3, or (at your option)
16 ;; GNU Emacs is distributed in the hope that it will be useful,
17 ;; but WITHOUT ANY WARRANTY; without even the implied warranty of
18 ;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
19 ;; GNU General Public License for more details.
21 ;; You should have received a copy of the GNU General Public License
22 ;; along with GNU Emacs; see the file COPYING. If not, write to the
23 ;; Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
24 ;; Boston, MA 02110-1301, USA.
33 ;; Declare functions which are defined elsewhere.
34 (declare-function math-clip
"calc-bin" (a &optional w
))
35 (declare-function math-round
"calc-arith" (a &optional prec
))
36 (declare-function math-simplify
"calc-alg" (top-expr))
37 (declare-function math-simplify-extended
"calc-alg" (a))
38 (declare-function math-simplify-units
"calc-units" (a))
39 (declare-function calc-set-language
"calc-lang" (lang &optional option no-refresh
))
40 (declare-function calc-flush-caches
"calc-stuff" (&optional inhibit-msg
))
41 (declare-function calc-save-modes
"calc-mode" ())
42 (declare-function calc-embedded-modes-change
"calc-embed" (vars))
43 (declare-function calc-embedded-var-change
"calc-embed" (var &optional buf
))
44 (declare-function math-mul-float
"calc-arith" (a b
))
45 (declare-function math-arctan-raw
"calc-math" (x))
46 (declare-function math-sqrt-raw
"calc-math" (a &optional guess
))
47 (declare-function math-sqrt-float
"calc-math" (a &optional guess
))
48 (declare-function math-exp-minus-1-raw
"calc-math" (x))
49 (declare-function math-normalize-polar
"calc-cplx" (a))
50 (declare-function math-normalize-hms
"calc-forms" (a))
51 (declare-function math-normalize-mod
"calc-forms" (a))
52 (declare-function math-make-sdev
"calc-forms" (x sigma
))
53 (declare-function math-make-intv
"calc-forms" (mask lo hi
))
54 (declare-function math-normalize-logical-op
"calc-prog" (a))
55 (declare-function math-possible-signs
"calc-arith" (a &optional origin
))
56 (declare-function math-infinite-dir
"calc-math" (a &optional inf
))
57 (declare-function math-calcFunc-to-var
"calc-map" (f))
58 (declare-function calc-embedded-evaluate-expr
"calc-embed" (x))
59 (declare-function math-known-nonzerop
"calc-arith" (a))
60 (declare-function math-read-expr-level
"calc-aent" (exp-prec &optional exp-term
))
61 (declare-function math-read-big-rec
"calc-lang" (math-rb-h1 math-rb-v1 math-rb-h2 math-rb-v2
&optional baseline prec short
))
62 (declare-function math-read-big-balance
"calc-lang" (h v what
&optional commas
))
63 (declare-function math-format-date
"calc-forms" (math-fd-date))
64 (declare-function math-vector-is-string
"calccomp" (a))
65 (declare-function math-vector-to-string
"calccomp" (a &optional quoted
))
66 (declare-function math-format-radix-float
"calc-bin" (a prec
))
67 (declare-function math-compose-expr
"calccomp" (a prec
))
68 (declare-function math-abs
"calc-arith" (a))
69 (declare-function math-format-bignum-binary
"calc-bin" (a))
70 (declare-function math-format-bignum-octal
"calc-bin" (a))
71 (declare-function math-format-bignum-hex
"calc-bin" (a))
72 (declare-function math-format-bignum-radix
"calc-bin" (a))
73 (declare-function math-compute-max-digits
"calc-bin" (w r
))
74 (declare-function math-map-vec
"calc-vec" (f a
))
75 (declare-function math-make-frac
"calc-frac" (num den
))
78 (defvar math-simplifying nil
)
79 (defvar math-living-dangerously nil
) ; true if unsafe simplifications are okay.
80 (defvar math-integrating nil
)
82 (defvar math-rewrite-selections nil
)
84 (defvar math-compose-level
0)
85 (defvar math-comp-selected nil
)
86 (defvar math-comp-tagged nil
)
87 (defvar math-comp-sel-hpos nil
)
88 (defvar math-comp-sel-vpos nil
)
89 (defvar math-comp-sel-cpos nil
)
90 (defvar math-compose-hash-args nil
)
93 (defvar calc-alg-esc-map
)
95 ;;; The following was made a function so that it could be byte-compiled.
96 (defun calc-init-extensions ()
98 (define-key calc-mode-map
":" 'calc-fdiv
)
99 (define-key calc-mode-map
"\\" 'calc-idiv
)
100 (define-key calc-mode-map
"|" 'calc-concat
)
101 (define-key calc-mode-map
"!" 'calc-factorial
)
102 (define-key calc-mode-map
"C" 'calc-cos
)
103 (define-key calc-mode-map
"E" 'calc-exp
)
104 (define-key calc-mode-map
"H" 'calc-hyperbolic
)
105 (define-key calc-mode-map
"I" 'calc-inverse
)
106 (define-key calc-mode-map
"J" 'calc-conj
)
107 (define-key calc-mode-map
"L" 'calc-ln
)
108 (define-key calc-mode-map
"N" 'calc-eval-num
)
109 (define-key calc-mode-map
"P" 'calc-pi
)
110 (define-key calc-mode-map
"Q" 'calc-sqrt
)
111 (define-key calc-mode-map
"R" 'calc-round
)
112 (define-key calc-mode-map
"S" 'calc-sin
)
113 (define-key calc-mode-map
"T" 'calc-tan
)
114 (define-key calc-mode-map
"U" 'calc-undo
)
115 (define-key calc-mode-map
"X" 'calc-call-last-kbd-macro
)
116 (define-key calc-mode-map
"o" 'calc-realign
)
117 (define-key calc-mode-map
"p" 'calc-precision
)
118 (define-key calc-mode-map
"w" 'calc-why
)
119 (define-key calc-mode-map
"x" 'calc-execute-extended-command
)
120 (define-key calc-mode-map
"y" 'calc-copy-to-buffer
)
122 (define-key calc-mode-map
"(" 'calc-begin-complex
)
123 (define-key calc-mode-map
")" 'calc-end-complex
)
124 (define-key calc-mode-map
"[" 'calc-begin-vector
)
125 (define-key calc-mode-map
"]" 'calc-end-vector
)
126 (define-key calc-mode-map
"," 'calc-comma
)
127 (define-key calc-mode-map
";" 'calc-semi
)
128 (define-key calc-mode-map
"`" 'calc-edit
)
129 (define-key calc-mode-map
"=" 'calc-evaluate
)
130 (define-key calc-mode-map
"~" 'calc-num-prefix
)
131 (define-key calc-mode-map
"<" 'calc-scroll-left
)
132 (define-key calc-mode-map
">" 'calc-scroll-right
)
133 (define-key calc-mode-map
"{" 'calc-scroll-down
)
134 (define-key calc-mode-map
"}" 'calc-scroll-up
)
135 (define-key calc-mode-map
"\C-k" 'calc-kill
)
136 (define-key calc-mode-map
"\M-k" 'calc-copy-as-kill
)
137 (define-key calc-mode-map
"\C-w" 'calc-kill-region
)
138 (define-key calc-mode-map
"\M-w" 'calc-copy-region-as-kill
)
139 (define-key calc-mode-map
"\C-y" 'calc-yank
)
140 (define-key calc-mode-map
[mouse-2
] 'calc-yank
)
141 (define-key calc-mode-map
"\C-_" 'calc-undo
)
142 (define-key calc-mode-map
"\C-xu" 'calc-undo
)
143 (define-key calc-mode-map
"\M-\C-m" 'calc-last-args
)
145 (define-key calc-mode-map
"a" nil
)
146 (define-key calc-mode-map
"a?" 'calc-a-prefix-help
)
147 (define-key calc-mode-map
"aa" 'calc-apart
)
148 (define-key calc-mode-map
"ab" 'calc-substitute
)
149 (define-key calc-mode-map
"ac" 'calc-collect
)
150 (define-key calc-mode-map
"ad" 'calc-derivative
)
151 (define-key calc-mode-map
"ae" 'calc-simplify-extended
)
152 (define-key calc-mode-map
"af" 'calc-factor
)
153 (define-key calc-mode-map
"ag" 'calc-poly-gcd
)
154 (define-key calc-mode-map
"ai" 'calc-integral
)
155 (define-key calc-mode-map
"am" 'calc-match
)
156 (define-key calc-mode-map
"an" 'calc-normalize-rat
)
157 (define-key calc-mode-map
"ap" 'calc-poly-interp
)
158 (define-key calc-mode-map
"ar" 'calc-rewrite
)
159 (define-key calc-mode-map
"as" 'calc-simplify
)
160 (define-key calc-mode-map
"at" 'calc-taylor
)
161 (define-key calc-mode-map
"av" 'calc-alg-evaluate
)
162 (define-key calc-mode-map
"ax" 'calc-expand
)
163 (define-key calc-mode-map
"aA" 'calc-abs
)
164 (define-key calc-mode-map
"aF" 'calc-curve-fit
)
165 (define-key calc-mode-map
"aI" 'calc-num-integral
)
166 (define-key calc-mode-map
"aM" 'calc-map-equation
)
167 (define-key calc-mode-map
"aN" 'calc-find-minimum
)
168 (define-key calc-mode-map
"aP" 'calc-poly-roots
)
169 (define-key calc-mode-map
"aS" 'calc-solve-for
)
170 (define-key calc-mode-map
"aR" 'calc-find-root
)
171 (define-key calc-mode-map
"aT" 'calc-tabulate
)
172 (define-key calc-mode-map
"aX" 'calc-find-maximum
)
173 (define-key calc-mode-map
"a+" 'calc-summation
)
174 (define-key calc-mode-map
"a-" 'calc-alt-summation
)
175 (define-key calc-mode-map
"a*" 'calc-product
)
176 (define-key calc-mode-map
"a\\" 'calc-poly-div
)
177 (define-key calc-mode-map
"a%" 'calc-poly-rem
)
178 (define-key calc-mode-map
"a/" 'calc-poly-div-rem
)
179 (define-key calc-mode-map
"a=" 'calc-equal-to
)
180 (define-key calc-mode-map
"a#" 'calc-not-equal-to
)
181 (define-key calc-mode-map
"a<" 'calc-less-than
)
182 (define-key calc-mode-map
"a>" 'calc-greater-than
)
183 (define-key calc-mode-map
"a[" 'calc-less-equal
)
184 (define-key calc-mode-map
"a]" 'calc-greater-equal
)
185 (define-key calc-mode-map
"a." 'calc-remove-equal
)
186 (define-key calc-mode-map
"a{" 'calc-in-set
)
187 (define-key calc-mode-map
"a&" 'calc-logical-and
)
188 (define-key calc-mode-map
"a|" 'calc-logical-or
)
189 (define-key calc-mode-map
"a!" 'calc-logical-not
)
190 (define-key calc-mode-map
"a:" 'calc-logical-if
)
191 (define-key calc-mode-map
"a_" 'calc-subscript
)
192 (define-key calc-mode-map
"a\"" 'calc-expand-formula
)
194 (define-key calc-mode-map
"b" nil
)
195 (define-key calc-mode-map
"b?" 'calc-b-prefix-help
)
196 (define-key calc-mode-map
"ba" 'calc-and
)
197 (define-key calc-mode-map
"bc" 'calc-clip
)
198 (define-key calc-mode-map
"bd" 'calc-diff
)
199 (define-key calc-mode-map
"bl" 'calc-lshift-binary
)
200 (define-key calc-mode-map
"bn" 'calc-not
)
201 (define-key calc-mode-map
"bo" 'calc-or
)
202 (define-key calc-mode-map
"bp" 'calc-pack-bits
)
203 (define-key calc-mode-map
"br" 'calc-rshift-binary
)
204 (define-key calc-mode-map
"bt" 'calc-rotate-binary
)
205 (define-key calc-mode-map
"bu" 'calc-unpack-bits
)
206 (define-key calc-mode-map
"bw" 'calc-word-size
)
207 (define-key calc-mode-map
"bx" 'calc-xor
)
208 (define-key calc-mode-map
"bB" 'calc-log
)
209 (define-key calc-mode-map
"bD" 'calc-fin-ddb
)
210 (define-key calc-mode-map
"bF" 'calc-fin-fv
)
211 (define-key calc-mode-map
"bI" 'calc-fin-irr
)
212 (define-key calc-mode-map
"bL" 'calc-lshift-arith
)
213 (define-key calc-mode-map
"bM" 'calc-fin-pmt
)
214 (define-key calc-mode-map
"bN" 'calc-fin-npv
)
215 (define-key calc-mode-map
"bP" 'calc-fin-pv
)
216 (define-key calc-mode-map
"bR" 'calc-rshift-arith
)
217 (define-key calc-mode-map
"bS" 'calc-fin-sln
)
218 (define-key calc-mode-map
"bT" 'calc-fin-rate
)
219 (define-key calc-mode-map
"bY" 'calc-fin-syd
)
220 (define-key calc-mode-map
"b#" 'calc-fin-nper
)
221 (define-key calc-mode-map
"b%" 'calc-percent-change
)
223 (define-key calc-mode-map
"c" nil
)
224 (define-key calc-mode-map
"c?" 'calc-c-prefix-help
)
225 (define-key calc-mode-map
"cc" 'calc-clean
)
226 (define-key calc-mode-map
"cd" 'calc-to-degrees
)
227 (define-key calc-mode-map
"cf" 'calc-float
)
228 (define-key calc-mode-map
"ch" 'calc-to-hms
)
229 (define-key calc-mode-map
"cp" 'calc-polar
)
230 (define-key calc-mode-map
"cr" 'calc-to-radians
)
231 (define-key calc-mode-map
"cC" 'calc-cos
)
232 (define-key calc-mode-map
"cF" 'calc-fraction
)
233 (define-key calc-mode-map
"c%" 'calc-convert-percent
)
235 (define-key calc-mode-map
"d" nil
)
236 (define-key calc-mode-map
"d?" 'calc-d-prefix-help
)
237 (define-key calc-mode-map
"d0" 'calc-decimal-radix
)
238 (define-key calc-mode-map
"d2" 'calc-binary-radix
)
239 (define-key calc-mode-map
"d6" 'calc-hex-radix
)
240 (define-key calc-mode-map
"d8" 'calc-octal-radix
)
241 (define-key calc-mode-map
"db" 'calc-line-breaking
)
242 (define-key calc-mode-map
"dc" 'calc-complex-notation
)
243 (define-key calc-mode-map
"dd" 'calc-date-notation
)
244 (define-key calc-mode-map
"de" 'calc-eng-notation
)
245 (define-key calc-mode-map
"df" 'calc-fix-notation
)
246 (define-key calc-mode-map
"dg" 'calc-group-digits
)
247 (define-key calc-mode-map
"dh" 'calc-hms-notation
)
248 (define-key calc-mode-map
"di" 'calc-i-notation
)
249 (define-key calc-mode-map
"dj" 'calc-j-notation
)
250 (define-key calc-mode-map
"dl" 'calc-line-numbering
)
251 (define-key calc-mode-map
"dn" 'calc-normal-notation
)
252 (define-key calc-mode-map
"do" 'calc-over-notation
)
253 (define-key calc-mode-map
"dp" 'calc-show-plain
)
254 (define-key calc-mode-map
"dr" 'calc-radix
)
255 (define-key calc-mode-map
"ds" 'calc-sci-notation
)
256 (define-key calc-mode-map
"dt" 'calc-truncate-stack
)
257 (define-key calc-mode-map
"dw" 'calc-auto-why
)
258 (define-key calc-mode-map
"dz" 'calc-leading-zeros
)
259 (define-key calc-mode-map
"dB" 'calc-big-language
)
260 (define-key calc-mode-map
"dD" 'calc-redo
)
261 (define-key calc-mode-map
"dC" 'calc-c-language
)
262 (define-key calc-mode-map
"dE" 'calc-eqn-language
)
263 (define-key calc-mode-map
"dF" 'calc-fortran-language
)
264 (define-key calc-mode-map
"dM" 'calc-mathematica-language
)
265 (define-key calc-mode-map
"dN" 'calc-normal-language
)
266 (define-key calc-mode-map
"dO" 'calc-flat-language
)
267 (define-key calc-mode-map
"dP" 'calc-pascal-language
)
268 (define-key calc-mode-map
"dT" 'calc-tex-language
)
269 (define-key calc-mode-map
"dL" 'calc-latex-language
)
270 (define-key calc-mode-map
"dU" 'calc-unformatted-language
)
271 (define-key calc-mode-map
"dW" 'calc-maple-language
)
272 (define-key calc-mode-map
"d[" 'calc-truncate-up
)
273 (define-key calc-mode-map
"d]" 'calc-truncate-down
)
274 (define-key calc-mode-map
"d." 'calc-point-char
)
275 (define-key calc-mode-map
"d," 'calc-group-char
)
276 (define-key calc-mode-map
"d\"" 'calc-display-strings
)
277 (define-key calc-mode-map
"d<" 'calc-left-justify
)
278 (define-key calc-mode-map
"d=" 'calc-center-justify
)
279 (define-key calc-mode-map
"d>" 'calc-right-justify
)
280 (define-key calc-mode-map
"d{" 'calc-left-label
)
281 (define-key calc-mode-map
"d}" 'calc-right-label
)
282 (define-key calc-mode-map
"d'" 'calc-display-raw
)
283 (define-key calc-mode-map
"d " 'calc-refresh
)
284 (define-key calc-mode-map
"d\r" 'calc-refresh-top
)
285 (define-key calc-mode-map
"d@" 'calc-toggle-banner
)
287 (define-key calc-mode-map
"f" nil
)
288 (define-key calc-mode-map
"f?" 'calc-f-prefix-help
)
289 (define-key calc-mode-map
"fb" 'calc-beta
)
290 (define-key calc-mode-map
"fe" 'calc-erf
)
291 (define-key calc-mode-map
"fg" 'calc-gamma
)
292 (define-key calc-mode-map
"fh" 'calc-hypot
)
293 (define-key calc-mode-map
"fi" 'calc-im
)
294 (define-key calc-mode-map
"fj" 'calc-bessel-J
)
295 (define-key calc-mode-map
"fn" 'calc-min
)
296 (define-key calc-mode-map
"fr" 'calc-re
)
297 (define-key calc-mode-map
"fs" 'calc-sign
)
298 (define-key calc-mode-map
"fx" 'calc-max
)
299 (define-key calc-mode-map
"fy" 'calc-bessel-Y
)
300 (define-key calc-mode-map
"fA" 'calc-abssqr
)
301 (define-key calc-mode-map
"fB" 'calc-inc-beta
)
302 (define-key calc-mode-map
"fE" 'calc-expm1
)
303 (define-key calc-mode-map
"fF" 'calc-floor
)
304 (define-key calc-mode-map
"fG" 'calc-inc-gamma
)
305 (define-key calc-mode-map
"fI" 'calc-ilog
)
306 (define-key calc-mode-map
"fL" 'calc-lnp1
)
307 (define-key calc-mode-map
"fM" 'calc-mant-part
)
308 (define-key calc-mode-map
"fQ" 'calc-isqrt
)
309 (define-key calc-mode-map
"fS" 'calc-scale-float
)
310 (define-key calc-mode-map
"fT" 'calc-arctan2
)
311 (define-key calc-mode-map
"fX" 'calc-xpon-part
)
312 (define-key calc-mode-map
"f[" 'calc-decrement
)
313 (define-key calc-mode-map
"f]" 'calc-increment
)
315 (define-key calc-mode-map
"g" nil
)
316 (define-key calc-mode-map
"g?" 'calc-g-prefix-help
)
317 (define-key calc-mode-map
"ga" 'calc-graph-add
)
318 (define-key calc-mode-map
"gb" 'calc-graph-border
)
319 (define-key calc-mode-map
"gc" 'calc-graph-clear
)
320 (define-key calc-mode-map
"gd" 'calc-graph-delete
)
321 (define-key calc-mode-map
"gf" 'calc-graph-fast
)
322 (define-key calc-mode-map
"gg" 'calc-graph-grid
)
323 (define-key calc-mode-map
"gh" 'calc-graph-header
)
324 (define-key calc-mode-map
"gk" 'calc-graph-key
)
325 (define-key calc-mode-map
"gj" 'calc-graph-juggle
)
326 (define-key calc-mode-map
"gl" 'calc-graph-log-x
)
327 (define-key calc-mode-map
"gn" 'calc-graph-name
)
328 (define-key calc-mode-map
"gp" 'calc-graph-plot
)
329 (define-key calc-mode-map
"gq" 'calc-graph-quit
)
330 (define-key calc-mode-map
"gr" 'calc-graph-range-x
)
331 (define-key calc-mode-map
"gs" 'calc-graph-line-style
)
332 (define-key calc-mode-map
"gt" 'calc-graph-title-x
)
333 (define-key calc-mode-map
"gv" 'calc-graph-view-commands
)
334 (define-key calc-mode-map
"gx" 'calc-graph-display
)
335 (define-key calc-mode-map
"gz" 'calc-graph-zero-x
)
336 (define-key calc-mode-map
"gA" 'calc-graph-add-3d
)
337 (define-key calc-mode-map
"gC" 'calc-graph-command
)
338 (define-key calc-mode-map
"gD" 'calc-graph-device
)
339 (define-key calc-mode-map
"gF" 'calc-graph-fast-3d
)
340 (define-key calc-mode-map
"gG" 'calc-argument
)
341 (define-key calc-mode-map
"gH" 'calc-graph-hide
)
342 (define-key calc-mode-map
"gK" 'calc-graph-kill
)
343 (define-key calc-mode-map
"gL" 'calc-graph-log-y
)
344 (define-key calc-mode-map
"gN" 'calc-graph-num-points
)
345 (define-key calc-mode-map
"gO" 'calc-graph-output
)
346 (define-key calc-mode-map
"gP" 'calc-graph-print
)
347 (define-key calc-mode-map
"gR" 'calc-graph-range-y
)
348 (define-key calc-mode-map
"gS" 'calc-graph-point-style
)
349 (define-key calc-mode-map
"gT" 'calc-graph-title-y
)
350 (define-key calc-mode-map
"gV" 'calc-graph-view-trail
)
351 (define-key calc-mode-map
"gX" 'calc-graph-geometry
)
352 (define-key calc-mode-map
"gZ" 'calc-graph-zero-y
)
353 (define-key calc-mode-map
"g\C-l" 'calc-graph-log-z
)
354 (define-key calc-mode-map
"g\C-r" 'calc-graph-range-z
)
355 (define-key calc-mode-map
"g\C-t" 'calc-graph-title-z
)
357 (define-key calc-mode-map
"h" 'calc-help-prefix
)
359 (define-key calc-mode-map
"j" nil
)
360 (define-key calc-mode-map
"j?" 'calc-j-prefix-help
)
361 (define-key calc-mode-map
"ja" 'calc-select-additional
)
362 (define-key calc-mode-map
"jb" 'calc-break-selections
)
363 (define-key calc-mode-map
"jc" 'calc-clear-selections
)
364 (define-key calc-mode-map
"jd" 'calc-show-selections
)
365 (define-key calc-mode-map
"je" 'calc-enable-selections
)
366 (define-key calc-mode-map
"jl" 'calc-select-less
)
367 (define-key calc-mode-map
"jm" 'calc-select-more
)
368 (define-key calc-mode-map
"jn" 'calc-select-next
)
369 (define-key calc-mode-map
"jo" 'calc-select-once
)
370 (define-key calc-mode-map
"jp" 'calc-select-previous
)
371 (define-key calc-mode-map
"jr" 'calc-rewrite-selection
)
372 (define-key calc-mode-map
"js" 'calc-select-here
)
373 (define-key calc-mode-map
"jv" 'calc-sel-evaluate
)
374 (define-key calc-mode-map
"ju" 'calc-unselect
)
375 (define-key calc-mode-map
"jC" 'calc-sel-commute
)
376 (define-key calc-mode-map
"jD" 'calc-sel-distribute
)
377 (define-key calc-mode-map
"jE" 'calc-sel-jump-equals
)
378 (define-key calc-mode-map
"jI" 'calc-sel-isolate
)
379 (define-key calc-mode-map
"jJ" 'calc-conj
)
380 (define-key calc-mode-map
"jL" 'calc-commute-left
)
381 (define-key calc-mode-map
"jM" 'calc-sel-merge
)
382 (define-key calc-mode-map
"jN" 'calc-sel-negate
)
383 (define-key calc-mode-map
"jO" 'calc-select-once-maybe
)
384 (define-key calc-mode-map
"jR" 'calc-commute-right
)
385 (define-key calc-mode-map
"jS" 'calc-select-here-maybe
)
386 (define-key calc-mode-map
"jU" 'calc-sel-unpack
)
387 (define-key calc-mode-map
"j&" 'calc-sel-invert
)
388 (define-key calc-mode-map
"j\r" 'calc-copy-selection
)
389 (define-key calc-mode-map
"j\n" 'calc-copy-selection
)
390 (define-key calc-mode-map
"j\010" 'calc-del-selection
)
391 (define-key calc-mode-map
"j\177" 'calc-del-selection
)
392 (define-key calc-mode-map
"j'" 'calc-enter-selection
)
393 (define-key calc-mode-map
"j`" 'calc-edit-selection
)
394 (define-key calc-mode-map
"j+" 'calc-sel-add-both-sides
)
395 (define-key calc-mode-map
"j-" 'calc-sel-sub-both-sides
)
396 (define-key calc-mode-map
"j*" 'calc-sel-mult-both-sides
)
397 (define-key calc-mode-map
"j/" 'calc-sel-div-both-sides
)
398 (define-key calc-mode-map
"j\"" 'calc-sel-expand-formula
)
400 (define-key calc-mode-map
"k" nil
)
401 (define-key calc-mode-map
"k?" 'calc-k-prefix-help
)
402 (define-key calc-mode-map
"ka" 'calc-random-again
)
403 (define-key calc-mode-map
"kb" 'calc-bernoulli-number
)
404 (define-key calc-mode-map
"kc" 'calc-choose
)
405 (define-key calc-mode-map
"kd" 'calc-double-factorial
)
406 (define-key calc-mode-map
"ke" 'calc-euler-number
)
407 (define-key calc-mode-map
"kf" 'calc-prime-factors
)
408 (define-key calc-mode-map
"kg" 'calc-gcd
)
409 (define-key calc-mode-map
"kh" 'calc-shuffle
)
410 (define-key calc-mode-map
"kl" 'calc-lcm
)
411 (define-key calc-mode-map
"km" 'calc-moebius
)
412 (define-key calc-mode-map
"kn" 'calc-next-prime
)
413 (define-key calc-mode-map
"kp" 'calc-prime-test
)
414 (define-key calc-mode-map
"kr" 'calc-random
)
415 (define-key calc-mode-map
"ks" 'calc-stirling-number
)
416 (define-key calc-mode-map
"kt" 'calc-totient
)
417 (define-key calc-mode-map
"kB" 'calc-utpb
)
418 (define-key calc-mode-map
"kC" 'calc-utpc
)
419 (define-key calc-mode-map
"kE" 'calc-extended-gcd
)
420 (define-key calc-mode-map
"kF" 'calc-utpf
)
421 (define-key calc-mode-map
"kK" 'calc-keep-args
)
422 (define-key calc-mode-map
"kN" 'calc-utpn
)
423 (define-key calc-mode-map
"kP" 'calc-utpp
)
424 (define-key calc-mode-map
"kT" 'calc-utpt
)
426 (define-key calc-mode-map
"m" nil
)
427 (define-key calc-mode-map
"m?" 'calc-m-prefix-help
)
428 (define-key calc-mode-map
"ma" 'calc-algebraic-mode
)
429 (define-key calc-mode-map
"md" 'calc-degrees-mode
)
430 (define-key calc-mode-map
"me" 'calc-embedded-preserve-modes
)
431 (define-key calc-mode-map
"mf" 'calc-frac-mode
)
432 (define-key calc-mode-map
"mg" 'calc-get-modes
)
433 (define-key calc-mode-map
"mh" 'calc-hms-mode
)
434 (define-key calc-mode-map
"mi" 'calc-infinite-mode
)
435 (define-key calc-mode-map
"mm" 'calc-save-modes
)
436 (define-key calc-mode-map
"mp" 'calc-polar-mode
)
437 (define-key calc-mode-map
"mr" 'calc-radians-mode
)
438 (define-key calc-mode-map
"ms" 'calc-symbolic-mode
)
439 (define-key calc-mode-map
"mt" 'calc-total-algebraic-mode
)
440 (define-key calc-mode-map
"\emt" 'calc-total-algebraic-mode
)
441 (define-key calc-mode-map
"\em\et" 'calc-total-algebraic-mode
)
442 (define-key calc-mode-map
"mv" 'calc-matrix-mode
)
443 (define-key calc-mode-map
"mw" 'calc-working
)
444 (define-key calc-mode-map
"mx" 'calc-always-load-extensions
)
445 (define-key calc-mode-map
"mA" 'calc-alg-simplify-mode
)
446 (define-key calc-mode-map
"mB" 'calc-bin-simplify-mode
)
447 (define-key calc-mode-map
"mC" 'calc-auto-recompute
)
448 (define-key calc-mode-map
"mD" 'calc-default-simplify-mode
)
449 (define-key calc-mode-map
"mE" 'calc-ext-simplify-mode
)
450 (define-key calc-mode-map
"mF" 'calc-settings-file-name
)
451 (define-key calc-mode-map
"mM" 'calc-more-recursion-depth
)
452 (define-key calc-mode-map
"mN" 'calc-num-simplify-mode
)
453 (define-key calc-mode-map
"mO" 'calc-no-simplify-mode
)
454 (define-key calc-mode-map
"mR" 'calc-mode-record-mode
)
455 (define-key calc-mode-map
"mS" 'calc-shift-prefix
)
456 (define-key calc-mode-map
"mU" 'calc-units-simplify-mode
)
457 (define-key calc-mode-map
"mX" 'calc-load-everything
)
459 (define-key calc-mode-map
"r" nil
)
460 (define-key calc-mode-map
"r?" 'calc-r-prefix-help
)
462 (define-key calc-mode-map
"s" nil
)
463 (define-key calc-mode-map
"s?" 'calc-s-prefix-help
)
464 (define-key calc-mode-map
"sc" 'calc-copy-variable
)
465 (define-key calc-mode-map
"sd" 'calc-declare-variable
)
466 (define-key calc-mode-map
"se" 'calc-edit-variable
)
467 (define-key calc-mode-map
"si" 'calc-insert-variables
)
468 (define-key calc-mode-map
"sk" 'calc-copy-special-constant
)
469 (define-key calc-mode-map
"sl" 'calc-let
)
470 (define-key calc-mode-map
"sm" 'calc-store-map
)
471 (define-key calc-mode-map
"sn" 'calc-store-neg
)
472 (define-key calc-mode-map
"sp" 'calc-permanent-variable
)
473 (define-key calc-mode-map
"sr" 'calc-recall
)
474 (define-key calc-mode-map
"ss" 'calc-store
)
475 (define-key calc-mode-map
"st" 'calc-store-into
)
476 (define-key calc-mode-map
"su" 'calc-unstore
)
477 (define-key calc-mode-map
"sx" 'calc-store-exchange
)
478 (define-key calc-mode-map
"sA" 'calc-edit-AlgSimpRules
)
479 (define-key calc-mode-map
"sD" 'calc-edit-Decls
)
480 (define-key calc-mode-map
"sE" 'calc-edit-EvalRules
)
481 (define-key calc-mode-map
"sF" 'calc-edit-FitRules
)
482 (define-key calc-mode-map
"sG" 'calc-edit-GenCount
)
483 (define-key calc-mode-map
"sH" 'calc-edit-Holidays
)
484 (define-key calc-mode-map
"sI" 'calc-edit-IntegLimit
)
485 (define-key calc-mode-map
"sL" 'calc-edit-LineStyles
)
486 (define-key calc-mode-map
"sP" 'calc-edit-PointStyles
)
487 (define-key calc-mode-map
"sR" 'calc-edit-PlotRejects
)
488 (define-key calc-mode-map
"sS" 'calc-sin
)
489 (define-key calc-mode-map
"sT" 'calc-edit-TimeZone
)
490 (define-key calc-mode-map
"sU" 'calc-edit-Units
)
491 (define-key calc-mode-map
"sX" 'calc-edit-ExtSimpRules
)
492 (define-key calc-mode-map
"s+" 'calc-store-plus
)
493 (define-key calc-mode-map
"s-" 'calc-store-minus
)
494 (define-key calc-mode-map
"s*" 'calc-store-times
)
495 (define-key calc-mode-map
"s/" 'calc-store-div
)
496 (define-key calc-mode-map
"s^" 'calc-store-power
)
497 (define-key calc-mode-map
"s|" 'calc-store-concat
)
498 (define-key calc-mode-map
"s&" 'calc-store-inv
)
499 (define-key calc-mode-map
"s[" 'calc-store-decr
)
500 (define-key calc-mode-map
"s]" 'calc-store-incr
)
501 (define-key calc-mode-map
"s:" 'calc-assign
)
502 (define-key calc-mode-map
"s=" 'calc-evalto
)
504 (define-key calc-mode-map
"t" nil
)
505 (define-key calc-mode-map
"t?" 'calc-t-prefix-help
)
506 (define-key calc-mode-map
"tb" 'calc-trail-backward
)
507 (define-key calc-mode-map
"td" 'calc-trail-display
)
508 (define-key calc-mode-map
"tf" 'calc-trail-forward
)
509 (define-key calc-mode-map
"th" 'calc-trail-here
)
510 (define-key calc-mode-map
"ti" 'calc-trail-in
)
511 (define-key calc-mode-map
"tk" 'calc-trail-kill
)
512 (define-key calc-mode-map
"tm" 'calc-trail-marker
)
513 (define-key calc-mode-map
"tn" 'calc-trail-next
)
514 (define-key calc-mode-map
"to" 'calc-trail-out
)
515 (define-key calc-mode-map
"tp" 'calc-trail-previous
)
516 (define-key calc-mode-map
"tr" 'calc-trail-isearch-backward
)
517 (define-key calc-mode-map
"ts" 'calc-trail-isearch-forward
)
518 (define-key calc-mode-map
"ty" 'calc-trail-yank
)
519 (define-key calc-mode-map
"t[" 'calc-trail-first
)
520 (define-key calc-mode-map
"t]" 'calc-trail-last
)
521 (define-key calc-mode-map
"t<" 'calc-trail-scroll-left
)
522 (define-key calc-mode-map
"t>" 'calc-trail-scroll-right
)
523 (define-key calc-mode-map
"t{" 'calc-trail-backward
)
524 (define-key calc-mode-map
"t}" 'calc-trail-forward
)
525 (define-key calc-mode-map
"t." 'calc-full-trail-vectors
)
526 (define-key calc-mode-map
"tC" 'calc-convert-time-zones
)
527 (define-key calc-mode-map
"tD" 'calc-date
)
528 (define-key calc-mode-map
"tI" 'calc-inc-month
)
529 (define-key calc-mode-map
"tJ" 'calc-julian
)
530 (define-key calc-mode-map
"tM" 'calc-new-month
)
531 (define-key calc-mode-map
"tN" 'calc-now
)
532 (define-key calc-mode-map
"tP" 'calc-date-part
)
533 (define-key calc-mode-map
"tT" 'calc-tan
)
534 (define-key calc-mode-map
"tU" 'calc-unix-time
)
535 (define-key calc-mode-map
"tW" 'calc-new-week
)
536 (define-key calc-mode-map
"tY" 'calc-new-year
)
537 (define-key calc-mode-map
"tZ" 'calc-time-zone
)
538 (define-key calc-mode-map
"t+" 'calc-business-days-plus
)
539 (define-key calc-mode-map
"t-" 'calc-business-days-minus
)
541 (define-key calc-mode-map
"u" 'nil
)
542 (define-key calc-mode-map
"u?" 'calc-u-prefix-help
)
543 (define-key calc-mode-map
"ua" 'calc-autorange-units
)
544 (define-key calc-mode-map
"ub" 'calc-base-units
)
545 (define-key calc-mode-map
"uc" 'calc-convert-units
)
546 (define-key calc-mode-map
"ud" 'calc-define-unit
)
547 (define-key calc-mode-map
"ue" 'calc-explain-units
)
548 (define-key calc-mode-map
"ug" 'calc-get-unit-definition
)
549 (define-key calc-mode-map
"up" 'calc-permanent-units
)
550 (define-key calc-mode-map
"ur" 'calc-remove-units
)
551 (define-key calc-mode-map
"us" 'calc-simplify-units
)
552 (define-key calc-mode-map
"ut" 'calc-convert-temperature
)
553 (define-key calc-mode-map
"uu" 'calc-undefine-unit
)
554 (define-key calc-mode-map
"uv" 'calc-enter-units-table
)
555 (define-key calc-mode-map
"ux" 'calc-extract-units
)
556 (define-key calc-mode-map
"uV" 'calc-view-units-table
)
557 (define-key calc-mode-map
"uC" 'calc-vector-covariance
)
558 (define-key calc-mode-map
"uG" 'calc-vector-geometric-mean
)
559 (define-key calc-mode-map
"uM" 'calc-vector-mean
)
560 (define-key calc-mode-map
"uN" 'calc-vector-min
)
561 (define-key calc-mode-map
"uS" 'calc-vector-sdev
)
562 (define-key calc-mode-map
"uU" 'calc-undo
)
563 (define-key calc-mode-map
"uX" 'calc-vector-max
)
564 (define-key calc-mode-map
"u#" 'calc-vector-count
)
565 (define-key calc-mode-map
"u+" 'calc-vector-sum
)
566 (define-key calc-mode-map
"u*" 'calc-vector-product
)
568 (define-key calc-mode-map
"v" 'nil
)
569 (define-key calc-mode-map
"v?" 'calc-v-prefix-help
)
570 (define-key calc-mode-map
"va" 'calc-arrange-vector
)
571 (define-key calc-mode-map
"vb" 'calc-build-vector
)
572 (define-key calc-mode-map
"vc" 'calc-mcol
)
573 (define-key calc-mode-map
"vd" 'calc-diag
)
574 (define-key calc-mode-map
"ve" 'calc-expand-vector
)
575 (define-key calc-mode-map
"vf" 'calc-vector-find
)
576 (define-key calc-mode-map
"vh" 'calc-head
)
577 (define-key calc-mode-map
"vi" 'calc-ident
)
578 (define-key calc-mode-map
"vk" 'calc-cons
)
579 (define-key calc-mode-map
"vl" 'calc-vlength
)
580 (define-key calc-mode-map
"vm" 'calc-mask-vector
)
581 (define-key calc-mode-map
"vn" 'calc-rnorm
)
582 (define-key calc-mode-map
"vp" 'calc-pack
)
583 (define-key calc-mode-map
"vr" 'calc-mrow
)
584 (define-key calc-mode-map
"vs" 'calc-subvector
)
585 (define-key calc-mode-map
"vt" 'calc-transpose
)
586 (define-key calc-mode-map
"vu" 'calc-unpack
)
587 (define-key calc-mode-map
"vv" 'calc-reverse-vector
)
588 (define-key calc-mode-map
"vx" 'calc-index
)
589 (define-key calc-mode-map
"vA" 'calc-apply
)
590 (define-key calc-mode-map
"vC" 'calc-cross
)
591 (define-key calc-mode-map
"vD" 'calc-mdet
)
592 (define-key calc-mode-map
"vE" 'calc-set-enumerate
)
593 (define-key calc-mode-map
"vF" 'calc-set-floor
)
594 (define-key calc-mode-map
"vG" 'calc-grade
)
595 (define-key calc-mode-map
"vH" 'calc-histogram
)
596 (define-key calc-mode-map
"vI" 'calc-inner-product
)
597 (define-key calc-mode-map
"vJ" 'calc-conj-transpose
)
598 (define-key calc-mode-map
"vL" 'calc-mlud
)
599 (define-key calc-mode-map
"vM" 'calc-map
)
600 (define-key calc-mode-map
"vN" 'calc-cnorm
)
601 (define-key calc-mode-map
"vO" 'calc-outer-product
)
602 (define-key calc-mode-map
"vR" 'calc-reduce
)
603 (define-key calc-mode-map
"vS" 'calc-sort
)
604 (define-key calc-mode-map
"vT" 'calc-mtrace
)
605 (define-key calc-mode-map
"vU" 'calc-accumulate
)
606 (define-key calc-mode-map
"vV" 'calc-set-union
)
607 (define-key calc-mode-map
"vX" 'calc-set-xor
)
608 (define-key calc-mode-map
"v^" 'calc-set-intersect
)
609 (define-key calc-mode-map
"v-" 'calc-set-difference
)
610 (define-key calc-mode-map
"v~" 'calc-set-complement
)
611 (define-key calc-mode-map
"v:" 'calc-set-span
)
612 (define-key calc-mode-map
"v#" 'calc-set-cardinality
)
613 (define-key calc-mode-map
"v+" 'calc-remove-duplicates
)
614 (define-key calc-mode-map
"v&" 'calc-inv
)
615 (define-key calc-mode-map
"v<" 'calc-matrix-left-justify
)
616 (define-key calc-mode-map
"v=" 'calc-matrix-center-justify
)
617 (define-key calc-mode-map
"v>" 'calc-matrix-right-justify
)
618 (define-key calc-mode-map
"v." 'calc-full-vectors
)
619 (define-key calc-mode-map
"v/" 'calc-break-vectors
)
620 (define-key calc-mode-map
"v," 'calc-vector-commas
)
621 (define-key calc-mode-map
"v[" 'calc-vector-brackets
)
622 (define-key calc-mode-map
"v]" 'calc-matrix-brackets
)
623 (define-key calc-mode-map
"v{" 'calc-vector-braces
)
624 (define-key calc-mode-map
"v}" 'calc-matrix-brackets
)
625 (define-key calc-mode-map
"v(" 'calc-vector-parens
)
626 (define-key calc-mode-map
"v)" 'calc-matrix-brackets
)
627 ;; We can't rely on the automatic upper->lower conversion because
628 ;; in the global map V is explicitly bound, so we need to bind it
629 ;; explicitly as well :-( --stef
630 (define-key calc-mode-map
"V" (lookup-key calc-mode-map
"v"))
632 (define-key calc-mode-map
"z" 'nil
)
633 (define-key calc-mode-map
"z?" 'calc-z-prefix-help
)
635 (define-key calc-mode-map
"Z" 'nil
)
636 (define-key calc-mode-map
"Z?" 'calc-shift-Z-prefix-help
)
637 (define-key calc-mode-map
"ZC" 'calc-user-define-composition
)
638 (define-key calc-mode-map
"ZD" 'calc-user-define
)
639 (define-key calc-mode-map
"ZE" 'calc-user-define-edit
)
640 (define-key calc-mode-map
"ZF" 'calc-user-define-formula
)
641 (define-key calc-mode-map
"ZG" 'calc-get-user-defn
)
642 (define-key calc-mode-map
"ZI" 'calc-user-define-invocation
)
643 (define-key calc-mode-map
"ZK" 'calc-user-define-kbd-macro
)
644 (define-key calc-mode-map
"ZP" 'calc-user-define-permanent
)
645 (define-key calc-mode-map
"ZS" 'calc-edit-user-syntax
)
646 (define-key calc-mode-map
"ZT" 'calc-timing
)
647 (define-key calc-mode-map
"ZU" 'calc-user-undefine
)
648 (define-key calc-mode-map
"Z[" 'calc-kbd-if
)
649 (define-key calc-mode-map
"Z:" 'calc-kbd-else
)
650 (define-key calc-mode-map
"Z|" 'calc-kbd-else-if
)
651 (define-key calc-mode-map
"Z]" 'calc-kbd-end-if
)
652 (define-key calc-mode-map
"Z<" 'calc-kbd-repeat
)
653 (define-key calc-mode-map
"Z>" 'calc-kbd-end-repeat
)
654 (define-key calc-mode-map
"Z(" 'calc-kbd-for
)
655 (define-key calc-mode-map
"Z)" 'calc-kbd-end-for
)
656 (define-key calc-mode-map
"Z{" 'calc-kbd-loop
)
657 (define-key calc-mode-map
"Z}" 'calc-kbd-end-loop
)
658 (define-key calc-mode-map
"Z/" 'calc-kbd-break
)
659 (define-key calc-mode-map
"Z`" 'calc-kbd-push
)
660 (define-key calc-mode-map
"Z'" 'calc-kbd-pop
)
661 (define-key calc-mode-map
"Z=" 'calc-kbd-report
)
662 (define-key calc-mode-map
"Z#" 'calc-kbd-query
)
668 (define-key calc-mode-map
(format "c%c" x
) 'calc-clean-num
)
669 (define-key calc-mode-map
(format "j%c" x
) 'calc-select-part
)
670 (define-key calc-mode-map
(format "r%c" x
) 'calc-recall-quick
)
671 (define-key calc-mode-map
(format "s%c" x
) 'calc-store-quick
)
672 (define-key calc-mode-map
(format "t%c" x
) 'calc-store-into-quick
)
673 (define-key calc-mode-map
(format "u%c" x
) 'calc-quick-units
)))
678 (if (eq (car-safe (aref (nth 1 calc-mode-map
) i
)) 'keymap
)
679 (aset (nth 1 calc-mode-map
) i
680 (cons 'keymap
(cons (cons ?\e
(aref (nth 1 calc-mode-map
) i
))
681 (cdr (aref (nth 1 calc-mode-map
) i
))))))
684 (setq calc-alg-map
(copy-keymap calc-mode-map
)
685 calc-alg-esc-map
(copy-keymap esc-map
))
688 (or (memq i
'(?
' ?
` ?
= ??
))
689 (aset (nth 1 calc-alg-map
) i
'calc-auto-algebraic-entry
))
690 (or (memq i
'(?
# ?x ?
0 ?
1 ?
2 ?
3 ?
4 ?
5 ?
6 ?
7 ?
8 ?
9))
691 (aset (nth 1 calc-alg-esc-map
) i
(aref (nth 1 calc-mode-map
) i
)))
693 (define-key calc-alg-map
"\e" calc-alg-esc-map
)
694 (define-key calc-alg-map
"\e\t" 'calc-roll-up
)
695 (define-key calc-alg-map
"\e\C-m" 'calc-last-args-stub
)
696 (define-key calc-alg-map
"\e\177" 'calc-pop-above
)
698 ;;;; (Autoloads here)
699 (mapc (function (lambda (x)
700 (mapcar (function (lambda (func)
701 (autoload func
(car x
)))) (cdr x
))))
704 ("calc-alg" calc-has-rules math-defsimplify
705 calc-modify-simplify-mode calcFunc-collect calcFunc-esimplify
706 calcFunc-islin calcFunc-islinnt calcFunc-lin calcFunc-linnt
707 calcFunc-simplify calcFunc-subst calcFunc-powerexpand math-beforep
708 math-build-polynomial-expr math-expand-formula math-expr-contains
709 math-expr-contains-count math-expr-depends math-expr-height
710 math-expr-subst math-expr-weight math-integer-plus math-is-linear
711 math-is-multiple math-is-polynomial math-linear-in math-multiple-of
712 math-poly-depends math-poly-mix math-poly-mul
713 math-poly-simplify math-poly-zerop math-polynomial-base
714 math-polynomial-p math-recompile-eval-rules math-simplify
715 math-simplify-exp math-simplify-extended math-simplify-sqrt
716 math-to-simple-fraction
)
718 ("calcalg2" calcFunc-asum calcFunc-deriv
719 calcFunc-ffinv calcFunc-finv calcFunc-fsolve calcFunc-gpoly
720 calcFunc-integ calcFunc-poly calcFunc-prod calcFunc-roots
721 calcFunc-solve calcFunc-sum calcFunc-table calcFunc-taylor
722 calcFunc-tderiv math-expr-calls math-integral-q02 math-integral-q12
723 math-integral-rational-funcs math-lcm-denoms math-looks-evenp
724 math-poly-all-roots math-prod-rec math-reject-solution math-solve-eqn
725 math-solve-for math-sum-rec math-try-integral
)
727 ("calcalg3" calcFunc-efit calcFunc-fit
728 calcFunc-fitdummy calcFunc-fitparam calcFunc-fitvar
729 calcFunc-hasfitparams calcFunc-hasfitvars calcFunc-maximize
730 calcFunc-minimize calcFunc-ninteg calcFunc-polint calcFunc-ratint
731 calcFunc-root calcFunc-wmaximize calcFunc-wminimize calcFunc-wroot
732 calcFunc-xfit math-find-minimum math-find-root math-ninteg-evaluate
733 math-ninteg-midpoint math-ninteg-romberg math-poly-interp
)
735 ("calc-arith" calcFunc-abs calcFunc-abssqr
736 calcFunc-add calcFunc-ceil calcFunc-decr calcFunc-deven calcFunc-dimag
737 calcFunc-dint calcFunc-div calcFunc-dnatnum calcFunc-dneg
738 calcFunc-dnonneg calcFunc-dnonzero calcFunc-dnumint calcFunc-dodd
739 calcFunc-dpos calcFunc-drange calcFunc-drat calcFunc-dreal
740 calcFunc-dscalar calcFunc-fceil calcFunc-ffloor calcFunc-float
741 calcFunc-fround calcFunc-frounde calcFunc-froundu calcFunc-ftrunc
742 calcFunc-idiv calcFunc-incr calcFunc-ldiv calcFunc-mant calcFunc-max calcFunc-min
743 calcFunc-mod calcFunc-mul calcFunc-neg calcFunc-percent calcFunc-pow
744 calcFunc-relch calcFunc-round calcFunc-rounde calcFunc-roundu
745 calcFunc-scf calcFunc-sub calcFunc-xpon math-abs math-abs-approx
746 math-add-objects-fancy math-add-or-sub math-add-symb-fancy
747 math-ceiling math-combine-prod math-combine-sum math-div-by-zero
748 math-div-objects-fancy math-div-symb-fancy math-div-zero
749 math-float-fancy math-floor-fancy math-floor-special math-guess-if-neg
750 math-intv-constp math-known-evenp math-known-imagp math-known-integerp
751 math-known-matrixp math-known-negp math-known-nonnegp
752 math-known-nonposp math-known-nonzerop math-known-num-integerp
753 math-known-oddp math-known-posp math-known-realp math-known-scalarp
754 math-max math-min math-mod-fancy math-mul-float math-mul-objects-fancy
755 math-mul-or-div math-mul-symb-fancy math-mul-zero math-neg-fancy
756 math-neg-float math-okay-neg math-possible-signs math-possible-types
757 math-pow-fancy math-pow-mod math-pow-of-zero math-pow-zero
758 math-quarter-integer math-round math-setup-declarations math-sqr
759 math-sqr-float math-trunc-fancy math-trunc-special
)
761 ("calc-bin" calcFunc-and calcFunc-ash
762 calcFunc-clip calcFunc-diff calcFunc-lsh calcFunc-not calcFunc-or
763 calcFunc-rash calcFunc-rot calcFunc-rsh calcFunc-xor math-clip
764 math-compute-max-digits math-convert-radix-digits math-float-parts
765 math-format-bignum-binary math-format-bignum-hex
766 math-format-bignum-octal math-format-bignum-radix math-format-binary
767 math-format-radix math-format-radix-float math-integer-log2
768 math-power-of-2 math-radix-float-power
)
770 ("calc-comb" calc-report-prime-test
771 calcFunc-choose calcFunc-dfact calcFunc-egcd calcFunc-fact
772 calcFunc-gcd calcFunc-lcm calcFunc-moebius calcFunc-nextprime
773 calcFunc-perm calcFunc-prevprime calcFunc-prfac calcFunc-prime
774 calcFunc-random calcFunc-shuffle calcFunc-stir1 calcFunc-stir2
775 calcFunc-totient math-init-random-base math-member math-prime-test
778 ("calccomp" calcFunc-cascent calcFunc-cdescent
779 calcFunc-cheight calcFunc-cwidth math-comp-ascent math-comp-descent
780 math-comp-height math-comp-width math-compose-expr
781 math-composition-to-string math-stack-value-offset-fancy
782 math-vector-is-string math-vector-to-string
)
784 ("calc-cplx" calcFunc-arg calcFunc-conj
785 calcFunc-im calcFunc-polar calcFunc-re calcFunc-rect math-complex
786 math-fix-circular math-imaginary math-imaginary-i math-normalize-polar
787 math-polar math-want-polar
)
789 ("calc-embed" calc-do-embedded
790 calc-do-embedded-activate calc-embedded-evaluate-expr
791 calc-embedded-modes-change calc-embedded-var-change
792 calc-embedded-preserve-modes
)
794 ("calc-fin" calc-to-percentage calcFunc-ddb
795 calcFunc-fv calcFunc-fvb calcFunc-fvl calcFunc-irr calcFunc-irrb
796 calcFunc-nper calcFunc-nperb calcFunc-nperl calcFunc-npv calcFunc-npvb
797 calcFunc-pmt calcFunc-pmtb calcFunc-pv calcFunc-pvb calcFunc-pvl
798 calcFunc-rate calcFunc-rateb calcFunc-ratel calcFunc-sln calcFunc-syd
)
800 ("calc-forms" calcFunc-badd calcFunc-bsub
801 calcFunc-date calcFunc-day calcFunc-dsadj calcFunc-hms
802 calcFunc-holiday calcFunc-hour calcFunc-incmonth calcFunc-incyear
803 calcFunc-intv calcFunc-julian calcFunc-makemod calcFunc-minute
804 calcFunc-month calcFunc-newmonth calcFunc-newweek calcFunc-newyear
805 calcFunc-now calcFunc-pwday calcFunc-sdev calcFunc-second
806 calcFunc-time calcFunc-tzconv calcFunc-tzone calcFunc-unixtime
807 calcFunc-weekday calcFunc-year calcFunc-yearday math-combine-intervals
808 math-date-parts math-date-to-dt math-div-mod math-dt-to-date
809 math-format-date math-from-business-day math-from-hms math-make-intv
810 math-make-mod math-make-sdev math-mod-intv math-normalize-hms
811 math-normalize-mod math-parse-date math-read-angle-brackets
812 math-setup-add-holidays math-setup-holidays math-setup-year-holidays
813 math-sort-intv math-to-business-day math-to-hms
)
815 ("calc-frac" calc-add-fractions
816 calc-div-fractions calc-mul-fractions calcFunc-fdiv calcFunc-frac
819 ("calc-funcs" calc-prob-dist calcFunc-bern
820 calcFunc-besJ calcFunc-besY calcFunc-beta calcFunc-betaB
821 calcFunc-betaI calcFunc-erf calcFunc-erfc calcFunc-euler
822 calcFunc-gamma calcFunc-gammaG calcFunc-gammaP calcFunc-gammaQ
823 calcFunc-gammag calcFunc-ltpb calcFunc-ltpc calcFunc-ltpf
824 calcFunc-ltpn calcFunc-ltpp calcFunc-ltpt calcFunc-utpb calcFunc-utpc
825 calcFunc-utpf calcFunc-utpn calcFunc-utpp calcFunc-utpt
826 math-bernoulli-number math-gammap1-raw
)
828 ("calc-graph" calc-graph-show-tty
)
830 ("calc-incom" calc-digit-dots
)
832 ("calc-keypd" calc-do-keypad
833 calc-keypad-x-left-click calc-keypad-x-middle-click
834 calc-keypad-x-right-click
)
836 ("calc-lang" calc-set-language
837 math-read-big-balance math-read-big-rec
)
839 ("calc-map" calc-get-operator calcFunc-accum
840 calcFunc-afixp calcFunc-anest calcFunc-apply calcFunc-call
841 calcFunc-fixp calcFunc-inner calcFunc-map calcFunc-mapa calcFunc-mapc
842 calcFunc-mapd calcFunc-mapeq calcFunc-mapeqp calcFunc-mapeqr
843 calcFunc-mapr calcFunc-nest calcFunc-outer calcFunc-raccum
844 calcFunc-reduce calcFunc-reducea calcFunc-reducec calcFunc-reduced
845 calcFunc-reducer calcFunc-rreduce calcFunc-rreducea calcFunc-rreducec
846 calcFunc-rreduced calcFunc-rreducer math-build-call
847 math-calcFunc-to-var math-multi-subst math-multi-subst-rec
848 math-var-to-calcFunc
)
850 ("calc-mtx" calcFunc-det calcFunc-lud calcFunc-tr
851 math-col-matrix math-lud-solve math-matrix-inv-raw math-matrix-lud
852 math-mul-mat-vec math-mul-mats math-row-matrix
)
854 ("calc-math" calcFunc-alog calcFunc-arccos
855 calcFunc-arccosh calcFunc-arcsin calcFunc-arcsincos calcFunc-arcsinh
856 calcFunc-arctan calcFunc-arctan2 calcFunc-arctanh calcFunc-csc
857 calcFunc-csch calcFunc-cos calcFunc-cosh calcFunc-cot calcFunc-coth
858 calcFunc-deg calcFunc-exp calcFunc-exp10 calcFunc-expm1
859 calcFunc-hypot calcFunc-ilog calcFunc-isqrt calcFunc-ln calcFunc-lnp1
860 calcFunc-log calcFunc-log10 calcFunc-nroot calcFunc-rad calcFunc-sec
861 calcFunc-sech calcFunc-sin
862 calcFunc-sincos calcFunc-sinh calcFunc-sqr calcFunc-sqrt calcFunc-tan
863 calcFunc-tanh math-arccos-raw math-arcsin-raw math-arctan-raw
864 math-arctan2-raw math-cos-raw math-cot-raw math-csc-raw
865 math-exp-minus-1-raw math-exp-raw
866 math-from-radians math-from-radians-2 math-hypot math-infinite-dir
867 math-isqrt-small math-ln-raw math-nearly-equal math-nearly-equal-float
868 math-nearly-zerop math-nearly-zerop-float math-nth-root
869 math-sin-cos-raw math-sin-raw math-sqrt math-sqrt-float math-sqrt-raw
870 math-tan-raw math-to-radians math-to-radians-2
)
872 ("calc-mode" math-get-modes-vec
)
874 ("calc-poly" calcFunc-apart calcFunc-expand
875 calcFunc-expandpow calcFunc-factor calcFunc-factors calcFunc-nrat
876 calcFunc-pcont calcFunc-pdeg calcFunc-pdiv calcFunc-pdivide
877 calcFunc-pdivrem calcFunc-pgcd calcFunc-plead calcFunc-pprim
878 calcFunc-prem math-accum-factors math-atomic-factorp
879 math-div-poly-const math-div-thru math-expand-power math-expand-term
880 math-factor-contains math-factor-expr math-factor-expr-part
881 math-factor-expr-try math-factor-finish math-factor-poly-coefs
882 math-factor-protect math-mul-thru math-padded-polynomial
883 math-partial-fractions math-poly-degree math-poly-deriv-coefs
884 math-poly-gcd-frac-list math-poly-modulus-rec math-ratpoly-p
885 math-to-ratpoly math-to-ratpoly-rec
)
887 ("calc-prog" calc-default-formula-arglist
888 calc-execute-kbd-macro calc-finish-user-syntax-edit
889 calc-fix-token-name calc-fix-user-formula calc-read-parse-table
890 calc-read-parse-table-part calc-subsetp calc-write-parse-table
891 calc-write-parse-table-part calcFunc-constant calcFunc-eq calcFunc-geq
892 calcFunc-gt calcFunc-if calcFunc-in calcFunc-integer calcFunc-istrue
893 calcFunc-land calcFunc-leq calcFunc-lnot calcFunc-lor calcFunc-lt
894 calcFunc-negative calcFunc-neq calcFunc-nonvar calcFunc-real
895 calcFunc-refers calcFunc-rmeq calcFunc-typeof calcFunc-variable
896 math-body-refers-to math-break math-composite-inequalities
897 math-do-defmath math-handle-for math-handle-foreach
898 math-normalize-logical-op math-return
)
900 ("calc-rewr" calcFunc-match calcFunc-matches
901 calcFunc-matchnot calcFunc-rewrite calcFunc-vmatches
902 math-apply-rewrites math-compile-patterns math-compile-rewrites
903 math-flatten-lands math-match-patterns math-rewrite
906 ("calc-rules" calc-CommuteRules calc-DistribRules calc-FactorRules
907 calc-FitRules calc-IntegAfterRules calc-InvertRules calc-JumpRules
908 calc-MergeRules calc-NegateRules
909 calc-compile-rule-set
)
911 ("calc-sel" calc-auto-selection
912 calc-delete-selection calc-encase-atoms calc-find-assoc-parent-formula
913 calc-find-parent-formula calc-find-sub-formula calc-prepare-selection
914 calc-preserve-point calc-replace-selections calc-replace-sub-formula
915 calc-roll-down-with-selections calc-roll-up-with-selections
918 ("calc-stat" calc-vector-op calcFunc-agmean
919 calcFunc-vcorr calcFunc-vcount calcFunc-vcov calcFunc-vflat
920 calcFunc-vgmean calcFunc-vhmean calcFunc-vmax calcFunc-vmean
921 calcFunc-vmeane calcFunc-vmedian calcFunc-vmin calcFunc-vpcov
922 calcFunc-vprod calcFunc-vpsdev calcFunc-vpvar calcFunc-vsdev
923 calcFunc-vsum calcFunc-vvar math-flatten-many-vecs
)
925 ("calc-store" calc-read-var-name
926 calc-store-value calc-var-name
)
928 ("calc-stuff" calc-explain-why calcFunc-clean
929 calcFunc-pclean calcFunc-pfloat calcFunc-pfrac
)
931 ("calc-units" calcFunc-usimplify
932 math-build-units-table math-build-units-table-buffer
933 math-check-unit-name math-convert-temperature math-convert-units
934 math-extract-units math-remove-units math-simplify-units
935 math-single-units-in-expr-p math-to-standard-units
936 math-units-in-expr-p
)
938 ("calc-vec" calcFunc-append calcFunc-appendrev
939 calcFunc-arrange calcFunc-cnorm calcFunc-cons calcFunc-cross
940 calcFunc-ctrn calcFunc-cvec calcFunc-diag calcFunc-find
941 calcFunc-getdiag calcFunc-grade calcFunc-head calcFunc-histogram
942 calcFunc-idn calcFunc-index calcFunc-mcol calcFunc-mdims
943 calcFunc-mrcol calcFunc-mrow calcFunc-mrrow calcFunc-pack
944 calcFunc-rcons calcFunc-rdup calcFunc-rev calcFunc-rgrade
945 calcFunc-rhead calcFunc-rnorm calcFunc-rsort calcFunc-rsubvec
946 calcFunc-rtail calcFunc-sort calcFunc-subscr calcFunc-subvec
947 calcFunc-tail calcFunc-trn calcFunc-unpack calcFunc-unpackt
948 calcFunc-vcard calcFunc-vcompl calcFunc-vconcat calcFunc-vconcatrev
949 calcFunc-vdiff calcFunc-vec calcFunc-venum calcFunc-vexp
950 calcFunc-vfloor calcFunc-vint calcFunc-vlen calcFunc-vmask
951 calcFunc-vpack calcFunc-vspan calcFunc-vunion calcFunc-vunpack
952 calcFunc-vxor math-check-for-commas math-clean-set math-copy-matrix
953 math-dimension-error math-dot-product math-flatten-vector math-map-vec
954 math-map-vec-2 math-mat-col math-mimic-ident math-prepare-set
955 math-read-brackets math-reduce-cols math-reduce-vec math-transpose
)
957 ("calc-yank" calc-alg-edit calc-clean-newlines
958 calc-do-grab-rectangle calc-do-grab-region calc-finish-stack-edit
959 calc-force-refresh calc-locate-cursor-element calc-show-edit-buffer
)
963 (mapcar (function (lambda (x)
964 (mapcar (function (lambda (cmd)
965 (autoload cmd
(car x
) nil t
))) (cdr x
))))
968 ("calc-alg" calc-alg-evaluate calc-apart calc-collect calc-expand
969 calc-expand-formula calc-factor calc-normalize-rat calc-poly-div
970 calc-poly-div-rem calc-poly-gcd calc-poly-rem calc-simplify
971 calc-simplify-extended calc-substitute calc-powerexpand
)
973 ("calcalg2" calc-alt-summation calc-derivative
974 calc-dump-integral-cache calc-integral calc-num-integral
975 calc-poly-roots calc-product calc-solve-for calc-summation
976 calc-tabulate calc-taylor
)
978 ("calcalg3" calc-curve-fit calc-find-maximum calc-find-minimum
979 calc-find-root calc-poly-interp
)
981 ("calc-arith" calc-abs calc-abssqr calc-ceiling calc-decrement
982 calc-floor calc-idiv calc-increment calc-mant-part calc-max calc-min
983 calc-round calc-scale-float calc-sign calc-trunc calc-xpon-part
)
985 ("calc-bin" calc-and calc-binary-radix calc-clip calc-decimal-radix
986 calc-diff calc-hex-radix calc-leading-zeros calc-lshift-arith
987 calc-lshift-binary calc-not calc-octal-radix calc-or calc-radix
988 calc-rotate-binary calc-rshift-arith calc-rshift-binary calc-word-size
991 ("calc-comb" calc-choose calc-double-factorial calc-extended-gcd
992 calc-factorial calc-gamma calc-gcd calc-lcm calc-moebius
993 calc-next-prime calc-perm calc-prev-prime calc-prime-factors
994 calc-prime-test calc-random calc-random-again calc-rrandom
995 calc-shuffle calc-totient
)
997 ("calc-cplx" calc-argument calc-complex-notation calc-i-notation
998 calc-im calc-j-notation calc-polar calc-polar-mode calc-re
)
1000 ("calc-embed" calc-embedded-copy-formula-as-kill
1001 calc-embedded-duplicate calc-embedded-edit calc-embedded-forget
1002 calc-embedded-kill-formula calc-embedded-mark-formula
1003 calc-embedded-new-formula calc-embedded-next calc-embedded-previous
1004 calc-embedded-select calc-embedded-update-formula calc-embedded-word
1005 calc-find-globals calc-show-plain
)
1007 ("calc-fin" calc-convert-percent calc-fin-ddb calc-fin-fv
1008 calc-fin-irr calc-fin-nper calc-fin-npv calc-fin-pmt calc-fin-pv
1009 calc-fin-rate calc-fin-sln calc-fin-syd calc-percent-change
)
1011 ("calc-forms" calc-business-days-minus calc-business-days-plus
1012 calc-convert-time-zones calc-date calc-date-notation calc-date-part
1013 calc-from-hms calc-hms-mode calc-hms-notation calc-inc-month
1014 calc-julian calc-new-month calc-new-week calc-new-year calc-now
1015 calc-time calc-time-zone calc-to-hms calc-unix-time
)
1017 ("calc-frac" calc-fdiv calc-frac-mode calc-fraction
1018 calc-over-notation calc-slash-notation
)
1020 ("calc-funcs" calc-bernoulli-number calc-bessel-J calc-bessel-Y
1021 calc-beta calc-erf calc-erfc calc-euler-number calc-inc-beta
1022 calc-inc-gamma calc-stirling-number calc-utpb calc-utpc calc-utpf
1023 calc-utpn calc-utpp calc-utpt
)
1025 ("calc-graph" calc-graph-add calc-graph-add-3d calc-graph-border
1026 calc-graph-clear calc-graph-command calc-graph-delete
1027 calc-graph-device calc-graph-display calc-graph-fast
1028 calc-graph-fast-3d calc-graph-geometry calc-graph-grid
1029 calc-graph-header calc-graph-hide calc-graph-juggle calc-graph-key
1030 calc-graph-kill calc-graph-line-style calc-graph-log-x
1031 calc-graph-log-y calc-graph-log-z calc-graph-name
1032 calc-graph-num-points calc-graph-output calc-graph-plot
1033 calc-graph-point-style calc-graph-print calc-graph-quit
1034 calc-graph-range-x calc-graph-range-y calc-graph-range-z
1035 calc-graph-show-dumb calc-graph-title-x calc-graph-title-y
1036 calc-graph-title-z calc-graph-view-commands calc-graph-view-trail
1037 calc-graph-zero-x calc-graph-zero-y
)
1039 ("calc-help" calc-a-prefix-help calc-b-prefix-help calc-c-prefix-help
1040 calc-d-prefix-help calc-describe-function calc-describe-key
1041 calc-describe-key-briefly calc-describe-variable calc-f-prefix-help
1042 calc-full-help calc-g-prefix-help calc-help-prefix
1043 calc-hyperbolic-prefix-help calc-inv-hyp-prefix-help
1044 calc-inverse-prefix-help calc-j-prefix-help calc-k-prefix-help
1045 calc-m-prefix-help calc-r-prefix-help calc-s-prefix-help
1046 calc-t-prefix-help calc-u-prefix-help calc-v-prefix-help
)
1048 ("calc-incom" calc-begin-complex calc-begin-vector calc-comma
1049 calc-dots calc-end-complex calc-end-vector calc-semi
)
1051 ("calc-keypd" calc-keypad-menu calc-keypad-menu-back
1054 ("calc-lang" calc-big-language calc-c-language calc-eqn-language
1055 calc-flat-language calc-fortran-language calc-maple-language
1056 calc-mathematica-language calc-normal-language calc-pascal-language
1057 calc-tex-language calc-latex-language calc-unformatted-language
)
1059 ("calc-map" calc-accumulate calc-apply calc-inner-product calc-map
1060 calc-map-equation calc-map-stack calc-outer-product calc-reduce
)
1062 ("calc-mtx" calc-mdet calc-mlud calc-mtrace
)
1064 ("calc-math" calc-arccos calc-arccosh calc-arcsin calc-arcsinh
1065 calc-arctan calc-arctan2 calc-arctanh calc-conj calc-cos calc-cosh
1066 calc-cot calc-coth calc-csc calc-csch
1067 calc-degrees-mode calc-exp calc-expm1 calc-hypot calc-ilog
1068 calc-imaginary calc-isqrt calc-ln calc-lnp1 calc-log calc-log10
1069 calc-pi calc-radians-mode calc-sec calc-sech
1070 calc-sin calc-sincos calc-sinh calc-sqrt
1071 calc-tan calc-tanh calc-to-degrees calc-to-radians
)
1073 ("calc-mode" calc-alg-simplify-mode calc-algebraic-mode
1074 calc-always-load-extensions calc-auto-recompute calc-auto-why
1075 calc-bin-simplify-mode calc-break-vectors calc-center-justify
1076 calc-default-simplify-mode calc-display-raw calc-eng-notation
1077 calc-ext-simplify-mode calc-fix-notation calc-full-trail-vectors
1078 calc-full-vectors calc-get-modes calc-group-char calc-group-digits
1079 calc-infinite-mode calc-left-justify calc-left-label
1080 calc-line-breaking calc-line-numbering calc-matrix-brackets
1081 calc-matrix-center-justify calc-matrix-left-justify calc-matrix-mode
1082 calc-matrix-right-justify calc-mode-record-mode calc-no-simplify-mode
1083 calc-normal-notation calc-num-simplify-mode calc-point-char
1084 calc-right-justify calc-right-label calc-save-modes calc-sci-notation
1085 calc-settings-file-name calc-shift-prefix calc-symbolic-mode
1086 calc-total-algebraic-mode calc-truncate-down calc-truncate-stack
1087 calc-truncate-up calc-units-simplify-mode calc-vector-braces
1088 calc-vector-brackets calc-vector-commas calc-vector-parens
1091 ("calc-prog" calc-call-last-kbd-macro calc-edit-user-syntax
1092 calc-equal-to calc-get-user-defn calc-greater-equal calc-greater-than
1093 calc-in-set calc-kbd-break calc-kbd-else calc-kbd-else-if
1094 calc-kbd-end-for calc-kbd-end-if calc-kbd-end-loop calc-kbd-end-repeat
1095 calc-kbd-for calc-kbd-if calc-kbd-loop calc-kbd-pop calc-kbd-push
1096 calc-kbd-query calc-kbd-repeat calc-kbd-report calc-less-equal
1097 calc-less-than calc-logical-and calc-logical-if calc-logical-not
1098 calc-logical-or calc-not-equal-to calc-pass-errors calc-remove-equal
1099 calc-timing calc-user-define calc-user-define-composition
1100 calc-user-define-edit calc-user-define-formula
1101 calc-user-define-invocation calc-user-define-kbd-macro
1102 calc-user-define-permanent calc-user-undefine
)
1104 ("calc-rewr" calc-match calc-rewrite calc-rewrite-selection
)
1106 ("calc-sel" calc-break-selections calc-clear-selections
1107 calc-copy-selection calc-del-selection calc-edit-selection
1108 calc-enable-selections calc-enter-selection calc-sel-add-both-sides
1109 calc-sel-div-both-sides calc-sel-evaluate calc-sel-expand-formula
1110 calc-sel-mult-both-sides calc-sel-sub-both-sides
1111 calc-select-additional calc-select-here calc-select-here-maybe
1112 calc-select-less calc-select-more calc-select-next calc-select-once
1113 calc-select-once-maybe calc-select-part calc-select-previous
1114 calc-show-selections calc-unselect
)
1116 ("calcsel2" calc-commute-left calc-commute-right calc-sel-commute
1117 calc-sel-distribute calc-sel-invert calc-sel-isolate
1118 calc-sel-jump-equals calc-sel-merge calc-sel-negate calc-sel-unpack
)
1120 ("calc-stat" calc-vector-correlation calc-vector-count
1121 calc-vector-covariance calc-vector-geometric-mean
1122 calc-vector-harmonic-mean calc-vector-max calc-vector-mean
1123 calc-vector-mean-error calc-vector-median calc-vector-min
1124 calc-vector-pop-covariance calc-vector-pop-sdev
1125 calc-vector-pop-variance calc-vector-product calc-vector-sdev
1126 calc-vector-sum calc-vector-variance
)
1128 ("calc-store" calc-assign calc-copy-special-constant
1129 calc-copy-variable calc-declare-variable
1130 calc-edit-AlgSimpRules calc-edit-Decls calc-edit-EvalRules
1131 calc-edit-ExtSimpRules calc-edit-FitRules calc-edit-GenCount
1132 calc-edit-Holidays calc-edit-IntegLimit calc-edit-LineStyles
1133 calc-edit-PlotRejects calc-edit-PointStyles calc-edit-TimeZone
1134 calc-edit-Units calc-edit-variable calc-evalto calc-insert-variables
1135 calc-let calc-permanent-variable calc-recall calc-recall-quick
1136 calc-store calc-store-concat calc-store-decr calc-store-div
1137 calc-store-exchange calc-store-incr calc-store-into
1138 calc-store-into-quick calc-store-inv calc-store-map calc-store-minus
1139 calc-store-neg calc-store-plus calc-store-power calc-store-quick
1140 calc-store-times calc-subscript calc-unstore
)
1142 ("calc-stuff" calc-clean calc-clean-num calc-flush-caches
1143 calc-less-recursion-depth calc-more-recursion-depth calc-num-prefix
1144 calc-version calc-why
)
1146 ("calc-trail" calc-trail-backward calc-trail-first calc-trail-forward
1147 calc-trail-in calc-trail-isearch-backward calc-trail-isearch-forward
1148 calc-trail-kill calc-trail-last calc-trail-marker calc-trail-next
1149 calc-trail-out calc-trail-previous calc-trail-scroll-left
1150 calc-trail-scroll-right calc-trail-yank
)
1152 ("calc-undo" calc-last-args calc-redo calc-undo
)
1154 ("calc-units" calc-autorange-units calc-base-units
1155 calc-convert-temperature calc-convert-units calc-define-unit
1156 calc-enter-units-table calc-explain-units calc-extract-units
1157 calc-get-unit-definition calc-permanent-units calc-quick-units
1158 calc-remove-units calc-simplify-units calc-undefine-unit
1159 calc-view-units-table
)
1161 ("calc-vec" calc-arrange-vector calc-build-vector calc-cnorm
1162 calc-conj-transpose calc-cons calc-cross calc-diag
1163 calc-display-strings calc-expand-vector calc-grade calc-head
1164 calc-histogram calc-ident calc-index calc-mask-vector calc-mcol
1165 calc-mrow calc-pack calc-pack-bits calc-remove-duplicates
1166 calc-reverse-vector calc-rnorm calc-set-cardinality
1167 calc-set-complement calc-set-difference calc-set-enumerate
1168 calc-set-floor calc-set-intersect calc-set-span calc-set-union
1169 calc-set-xor calc-sort calc-subvector calc-tail calc-transpose
1170 calc-unpack calc-unpack-bits calc-vector-find calc-vlength
)
1172 ("calc-yank" calc-copy-as-kill calc-copy-region-as-kill
1173 calc-copy-to-buffer calc-edit calc-edit-cancel calc-edit-mode
1174 calc-kill calc-kill-region calc-yank
))))
1176 (defun calc-init-prefixes ()
1177 (if calc-shift-prefix
1179 (define-key calc-mode-map
"A" (lookup-key calc-mode-map
"a"))
1180 (define-key calc-mode-map
"B" (lookup-key calc-mode-map
"b"))
1181 (define-key calc-mode-map
"C" (lookup-key calc-mode-map
"c"))
1182 (define-key calc-mode-map
"D" (lookup-key calc-mode-map
"d"))
1183 (define-key calc-mode-map
"F" (lookup-key calc-mode-map
"f"))
1184 (define-key calc-mode-map
"G" (lookup-key calc-mode-map
"g"))
1185 (define-key calc-mode-map
"J" (lookup-key calc-mode-map
"j"))
1186 (define-key calc-mode-map
"K" (lookup-key calc-mode-map
"k"))
1187 (define-key calc-mode-map
"M" (lookup-key calc-mode-map
"m"))
1188 (define-key calc-mode-map
"S" (lookup-key calc-mode-map
"s"))
1189 (define-key calc-mode-map
"T" (lookup-key calc-mode-map
"t"))
1190 (define-key calc-mode-map
"U" (lookup-key calc-mode-map
"u")))
1191 (define-key calc-mode-map
"A" 'calc-abs
)
1192 (define-key calc-mode-map
"B" 'calc-log
)
1193 (define-key calc-mode-map
"C" 'calc-cos
)
1194 (define-key calc-mode-map
"D" 'calc-redo
)
1195 (define-key calc-mode-map
"F" 'calc-floor
)
1196 (define-key calc-mode-map
"G" 'calc-argument
)
1197 (define-key calc-mode-map
"J" 'calc-conj
)
1198 (define-key calc-mode-map
"K" 'calc-keep-args
)
1199 (define-key calc-mode-map
"M" 'calc-more-recursion-depth
)
1200 (define-key calc-mode-map
"S" 'calc-sin
)
1201 (define-key calc-mode-map
"T" 'calc-tan
)
1202 (define-key calc-mode-map
"U" 'calc-undo
)))
1204 (calc-init-extensions)
1211 ;; calc-command-flags is declared in calc.el
1212 (defvar calc-command-flags
)
1214 (defun calc-clear-command-flag (f)
1215 (setq calc-command-flags
(delq f calc-command-flags
)))
1218 (defun calc-record-message (tag &rest args
)
1219 (let ((msg (apply 'format args
)))
1221 (calc-record msg tag
))
1222 (calc-clear-command-flag 'clear-message
))
1225 (defun calc-normalize-fancy (val)
1226 (let ((simp (if (consp calc-simplify-mode
)
1227 (car calc-simplify-mode
)
1228 calc-simplify-mode
)))
1229 (cond ((eq simp
'binary
)
1230 (let ((s (math-normalize val
)))
1232 (math-clip (math-round s
))
1235 (math-simplify val
))
1237 (math-simplify-extended val
))
1239 (math-simplify-units val
))
1241 (math-normalize val
)))))
1244 (defvar calc-help-map nil
)
1248 (setq calc-help-map
(make-keymap))
1249 (define-key calc-help-map
"b" 'calc-describe-bindings
)
1250 (define-key calc-help-map
"c" 'calc-describe-key-briefly
)
1251 (define-key calc-help-map
"f" 'calc-describe-function
)
1252 (define-key calc-help-map
"h" 'calc-full-help
)
1253 (define-key calc-help-map
"i" 'calc-info
)
1254 (define-key calc-help-map
"k" 'calc-describe-key
)
1255 (define-key calc-help-map
"n" 'calc-view-news
)
1256 (define-key calc-help-map
"s" 'calc-info-summary
)
1257 (define-key calc-help-map
"t" 'calc-tutorial
)
1258 (define-key calc-help-map
"v" 'calc-describe-variable
)
1259 (define-key calc-help-map
"\C-c" 'calc-describe-copying
)
1260 (define-key calc-help-map
"\C-d" 'calc-describe-distribution
)
1261 (define-key calc-help-map
"\C-n" 'calc-view-news
)
1262 (define-key calc-help-map
"\C-w" 'calc-describe-no-warranty
)
1263 (define-key calc-help-map
"?" 'calc-help-for-help
)
1264 (define-key calc-help-map
"\C-h" 'calc-help-for-help
))
1266 (defvar calc-prefix-help-phase
0)
1267 (defun calc-do-prefix-help (msgs group key
)
1268 (if calc-full-help-flag
1269 (list msgs group key
)
1272 (setq calc-prefix-help-phase
1273 (if (eq this-command last-command
)
1274 (%
(1+ calc-prefix-help-phase
) (1+ (length msgs
)))
1276 (let ((msg (nth calc-prefix-help-phase msgs
)))
1277 (message "%s" (if msg
1278 (concat group
": " msg
":"
1280 (- (apply 'max
(mapcar 'length msgs
))
1284 (concat " " (char-to-string key
)
1287 (if key
(format "%c-" key
) "")))))
1288 (setq calc-prefix-help-phase
0)
1291 (message "%s: %s: %c-" group
(car msgs
) key
)
1292 (message "%s: (none) %c-" group key
))
1293 (message "%s: %s" group
(car msgs
))))
1294 (and key
(calc-unread-command key
))))
1301 (defun calc-reset (arg)
1303 (setq arg
(if arg
(prefix-numeric-value arg
) nil
))
1307 (equal (aref calc-embedded-info
0) (current-buffer))
1308 (<= (point) (aref calc-embedded-info
5))
1309 (>= (point) (aref calc-embedded-info
4)))
1310 (let ((cbuf (aref calc-embedded-info
1))
1311 (calc-embedded-quiet t
))
1312 (save-window-excursion
1316 (calc-embedded nil
)))
1317 ((eq major-mode
'calc-mode
)
1319 (unless (and arg
(> (abs arg
) 0))
1320 (setq calc-stack nil
))
1321 (setq calc-undo-list nil
1323 (let (calc-stack calc-user-parse-tables calc-standard-date-formats
1324 calc-invocation-macro
)
1325 (mapc (function (lambda (v) (set v nil
))) calc-local-var-list
)
1326 (if (and arg
(<= arg
0))
1327 (calc-mode-var-list-restore-default-values)
1328 (calc-mode-var-list-restore-saved-values)))
1329 (calc-set-language nil nil t
)
1331 (calc-flush-caches t
)
1332 (run-hooks 'calc-reset-hook
))
1334 (let ((win (get-buffer-window (current-buffer))))
1336 ;; Adjust the window height if the window is visible, but doesn't
1337 ;; take up the whole height of the frame.
1340 (< (window-height win
) (1- (frame-height))))
1341 (let ((height (- (window-height win
) 2)))
1342 (set-window-point win
(point))
1343 (or (= height calc-window-height
)
1344 (let ((swin (selected-window)))
1346 (enlarge-window (- calc-window-height height
))
1347 (select-window swin
)))))))
1348 (message "(Calculator reset)"))
1350 (message "(Not inside a Calc buffer)"))))
1352 ;; What a pain; scroll-left behaves differently when called non-interactively.
1353 (defun calc-scroll-left (n)
1355 (setq prefix-arg
(or n
(/ (window-width) 2)))
1356 (call-interactively #'scroll-left
))
1358 (defun calc-scroll-right (n)
1360 (setq prefix-arg
(or n
(/ (window-width) 2)))
1361 (call-interactively #'scroll-right
))
1363 (defun calc-scroll-up (n)
1366 (scroll-up (or n
(/ (window-height) 2)))
1368 (if (pos-visible-in-window-p (max 1 (- (point-max) 2)))
1369 (if (eq major-mode
'calc-mode
)
1371 (goto-char (point-max))
1372 (set-window-start (selected-window)
1374 (forward-line (- (1- (window-height))))
1376 (forward-line -
1))))
1378 (defun calc-scroll-down (n)
1380 (or (pos-visible-in-window-p 1)
1381 (scroll-down (or n
(/ (window-height) 2)))))
1384 (defun calc-precision (n)
1385 (interactive "NPrecision: ")
1387 (if (< (prefix-numeric-value n
) 3)
1388 (error "Precision must be at least 3 digits")
1389 (calc-change-mode 'calc-internal-prec
(prefix-numeric-value n
)
1390 (and (memq (car calc-float-format
) '(float sci eng
))
1391 (< (nth 1 calc-float-format
)
1392 (if (= calc-number-radix
10) 0 1))))
1393 (calc-record calc-internal-prec
"prec"))
1394 (message "Floating-point precision is %d digits" calc-internal-prec
)))
1397 (defun calc-inverse (&optional n
)
1399 (let* ((hyp-flag (if (or
1400 (eq major-mode
'calc-keypad-mode
)
1401 (eq major-mode
'calc-trail-mode
))
1402 (with-current-buffer calc-main-buffer
1403 calc-hyperbolic-flag
)
1404 calc-hyperbolic-flag
))
1406 "Inverse Hyperbolic..."
1408 (calc-fancy-prefix 'calc-inverse-flag msg n
)))
1410 (defconst calc-fancy-prefix-map
1411 (let ((map (make-sparse-keymap)))
1412 (define-key map
[t] 'calc-fancy-prefix-other-key)
1413 (define-key map (vector meta-prefix-char t) 'calc-fancy-prefix-other-key)
1414 (define-key map [switch-frame] nil)
1415 (define-key map [?\C-u] 'universal-argument)
1416 (define-key map [?0] 'digit-argument)
1417 (define-key map [?1] 'digit-argument)
1418 (define-key map [?2] 'digit-argument)
1419 (define-key map [?3] 'digit-argument)
1420 (define-key map [?4] 'digit-argument)
1421 (define-key map [?5] 'digit-argument)
1422 (define-key map [?6] 'digit-argument)
1423 (define-key map [?7] 'digit-argument)
1424 (define-key map [?8] 'digit-argument)
1425 (define-key map [?9] 'digit-argument)
1427 "Keymap used while processing calc-fancy-prefix.")
1429 (defvar calc-is-keypad-press nil)
1430 (defun calc-fancy-prefix (flag msg n)
1433 (calc-set-command-flag 'keep-flags)
1434 (calc-set-command-flag 'no-align)
1435 (setq prefix (set flag (not (symbol-value flag)))
1437 (message "%s" (if prefix msg "")))
1439 (not calc-is-keypad-press)
1440 (if (boundp 'overriding-terminal-local-map)
1441 (setq overriding-terminal-local-map calc-fancy-prefix-map)
1442 (let ((event (calc-read-key t)))
1443 (if (eq (setq last-command-char (car event)) ?\C-u)
1444 (universal-argument)
1445 (if (or (not (integerp last-command-char))
1446 (and (>= last-command-char 0) (< last-command-char ? )
1447 (not (memq last-command-char '(?\e)))))
1448 (calc-wrapper)) ; clear flags if not a Calc command.
1449 (setq last-command-event (cdr event))
1450 (if (or (not (integerp last-command-char))
1451 (eq last-command-char ?-))
1452 (calc-unread-command)
1453 (digit-argument n))))))))
1455 (defun calc-fancy-prefix-other-key (arg)
1458 (not (eq last-command-char 'tab))
1459 (not (eq last-command-char 'M-tab))
1460 (or (not (integerp last-command-char))
1461 (and (>= last-command-char 0) (< last-command-char ? )
1462 (not (eq last-command-char meta-prefix-char)))))
1463 (calc-wrapper)) ; clear flags if not a Calc command.
1464 (setq prefix-arg arg)
1465 (calc-unread-command)
1466 (setq overriding-terminal-local-map nil))
1468 (defun calc-invert-func ()
1470 (calc-select-buffer)
1471 (setq calc-inverse-flag (not (calc-is-inverse))
1472 calc-hyperbolic-flag (calc-is-hyperbolic)
1473 current-prefix-arg nil)))
1475 (defun calc-is-inverse ()
1478 (defun calc-hyperbolic (&optional n)
1480 (let* ((inv-flag (if (or
1481 (eq major-mode 'calc-keypad-mode)
1482 (eq major-mode 'calc-trail-mode))
1483 (with-current-buffer calc-main-buffer
1487 "Inverse Hyperbolic..."
1489 (calc-fancy-prefix 'calc-hyperbolic-flag msg n)))
1491 (defun calc-hyperbolic-func ()
1493 (calc-select-buffer)
1494 (setq calc-inverse-flag (calc-is-inverse)
1495 calc-hyperbolic-flag (not (calc-is-hyperbolic))
1496 current-prefix-arg nil)))
1498 (defun calc-is-hyperbolic ()
1499 calc-hyperbolic-flag)
1501 (defun calc-keep-args (&optional n)
1503 (calc-fancy-prefix 'calc-keep-args-flag "Keep args..." n))
1506 (defun calc-change-mode (var value &optional refresh option)
1508 (setq value (if value
1509 (> (prefix-numeric-value value) 0)
1510 (not (symbol-value var)))))
1511 (or (consp var) (setq var (list var) value (list value)))
1512 (if calc-inverse-flag
1514 (or refresh (error "Not a display-mode command"))
1515 (calc-check-stack 1)
1519 (setq old (cons (symbol-value (car v)) old))
1520 (set (car v) (car value))
1523 (calc-refresh-top 1)
1524 (calc-refresh-evaltos)
1525 (symbol-value (car var)))
1527 (setq old (nreverse old))
1529 (set (car v) (car old))
1532 (if (eq (car var) 'calc-language)
1533 (calc-set-language calc-language calc-language-option t)))))
1537 (or (equal (symbol-value (car v)) (car value))
1539 (set (car v) (car value))
1540 (if (eq (car v) 'calc-float-format)
1541 (setq calc-full-float-format
1542 (list (if (eq (car (car value)) 'fix)
1551 (or (and refresh (calc-do-refresh))
1552 (calc-refresh-evaltos))
1553 (and (eq calc-mode-save-mode 'save)
1554 (not (equal var '(calc-mode-save-mode)))
1555 (calc-save-modes))))
1556 (if calc-embedded-info (calc-embedded-modes-change var))
1557 (symbol-value (car var)))))
1559 (defun calc-toggle-banner ()
1560 "Toggle display of the friendly greeting calc normally shows above the stack."
1562 (setq calc-show-banner (not calc-show-banner))
1565 (defun calc-refresh-top (n)
1570 (let ((entry (calc-top n 'entry))
1571 (calc-undo-list nil) (calc-redo-list nil))
1572 (calc-pop-stack 1 n t)
1573 (calc-push-list (list (car entry)) n (list (nth 2 entry)))))
1577 (let ((entries (calc-top-list n 1 'entry))
1578 (calc-undo-list nil) (calc-redo-list nil))
1579 (calc-pop-stack n 1 t)
1580 (calc-push-list (mapcar 'car entries)
1582 (mapcar (function (lambda (x) (nth 2 x)))
1585 (defvar calc-refreshing-evaltos nil)
1586 (defvar calc-no-refresh-evaltos nil)
1587 (defun calc-refresh-evaltos (&optional which-var)
1588 (and calc-any-evaltos calc-auto-recompute (not calc-no-refresh-evaltos)
1589 (let ((calc-refreshing-evaltos t)
1590 (num (calc-stack-size))
1591 (calc-undo-list nil) (calc-redo-list nil)
1594 (setq value (calc-top num 'entry))
1595 (if (and (not (nth 2 value))
1596 (setq value (car value))
1597 (or (eq (car-safe value) 'calcFunc-evalto)
1598 (and (eq (car-safe value) 'vec)
1599 (eq (car-safe (nth 1 value)) 'calcFunc-evalto))))
1601 (setq new-val (math-normalize value))
1602 (or (equal new-val value)
1604 (calc-push-list (list new-val) num)
1605 (calc-pop-stack 1 (1+ num) t)))))
1606 (setq num (1- num)))))
1607 (and calc-embedded-active which-var
1608 (calc-embedded-var-change which-var)))
1610 (defun calc-push (&rest vals)
1611 (calc-push-list vals))
1613 (defun calc-pop-push (n &rest vals)
1614 (calc-pop-push-list n vals))
1616 (defun calc-pop-push-record (n prefix &rest vals)
1617 (calc-pop-push-record-list n prefix vals))
1620 (defun calc-evaluate (n)
1624 (setq n (calc-stack-size)))
1625 (calc-with-default-simplification
1627 (calc-pop-push-record-list 1 "eval"
1628 (math-evaluate-expr (calc-top (- n)))
1630 (calc-pop-push-record-list n "eval" (mapcar 'math-evaluate-expr
1631 (calc-top-list n)))))
1632 (calc-handle-whys)))
1635 (defun calc-eval-num (n)
1638 (let* ((nn (prefix-numeric-value n))
1639 (calc-internal-prec (cond ((>= nn 3) nn)
1640 ((< nn 0) (max (+ calc-internal-prec nn)
1642 (t calc-internal-prec)))
1643 (calc-symbolic-mode nil))
1644 (calc-with-default-simplification
1645 (calc-pop-push-record 1 "num" (math-evaluate-expr (calc-top 1)))))
1646 (calc-handle-whys)))
1649 (defun calc-execute-extended-command (n)
1651 (let* ((prompt (concat (calc-num-prefix-name n) "M-x "))
1652 (cmd (intern (completing-read prompt obarray 'commandp t "calc-"))))
1654 (command-execute cmd)))
1657 (defun calc-realign (&optional num)
1659 (if (and num (eq major-mode 'calc-mode))
1661 (calc-check-stack num)
1662 (calc-cursor-stack-index num)
1663 (and calc-line-numbering
1665 (if (and calc-embedded-info
1666 (eq (current-buffer) (aref calc-embedded-info 0)))
1668 (goto-char (aref calc-embedded-info 2))
1669 (if (save-excursion (set-buffer (aref calc-embedded-info 1))
1673 (if (get-buffer-window (current-buffer))
1674 (set-window-hscroll (get-buffer-window (current-buffer)) 0))))))
1676 (defvar math-cache-list nil)
1678 (defun calc-var-value (v)
1682 (if (symbolp (symbol-value v))
1683 (set v (funcall (symbol-value v)))
1684 (if (stringp (symbol-value v))
1685 (let ((val (math-read-expr (symbol-value v))))
1686 (if (eq (car-safe val) 'error)
1687 (error "Bad format in variable contents: %s" (nth 2 val))
1689 (symbol-value v)))))
1691 ;;; In the following table, ( OP LOPS ROPS ) means that if an OP
1692 ;;; term appears as the first argument to any LOPS term, or as the
1693 ;;; second argument to any ROPS term, then they should be treated
1694 ;;; as one large term for purposes of associative selection.
1695 (defconst calc-assoc-ops '( ( + ( + - ) ( + ) )
1700 ( calcFunc-land ( calcFunc-land )
1702 ( calcFunc-lor ( calcFunc-lor )
1703 ( calcFunc-lor ) ) ))
1706 (defvar var-CommuteRules 'calc-CommuteRules)
1707 (defvar var-JumpRules 'calc-JumpRules)
1708 (defvar var-DistribRules 'calc-DistribRules)
1709 (defvar var-MergeRules 'calc-MergeRules)
1710 (defvar var-NegateRules 'calc-NegateRules)
1711 (defvar var-InvertRules 'calc-InvertRules)
1714 (defconst calc-tweak-eqn-table '( ( calcFunc-eq calcFunc-eq calcFunc-neq )
1715 ( calcFunc-neq calcFunc-neq calcFunc-eq )
1716 ( calcFunc-lt calcFunc-gt calcFunc-geq )
1717 ( calcFunc-gt calcFunc-lt calcFunc-leq )
1718 ( calcFunc-leq calcFunc-geq calcFunc-gt )
1719 ( calcFunc-geq calcFunc-leq calcFunc-lt ) ))
1724 (defun calc-float (arg)
1727 (calc-unary-op "flt"
1728 (if (calc-is-hyperbolic) 'calcFunc-float 'calcFunc-pfloat)
1732 (defvar calc-gnuplot-process nil)
1733 (defvar calc-gnuplot-input)
1734 (defvar calc-gnuplot-buffer)
1736 (defun calc-gnuplot-alive ()
1737 (and calc-gnuplot-process
1739 (buffer-name calc-gnuplot-buffer)
1741 (buffer-name calc-gnuplot-input)
1742 (memq (process-status calc-gnuplot-process) '(run stop))))
1748 (defun calc-load-everything ()
1750 (require 'calc-aent)
1752 (require 'calc-arith)
1754 (require 'calc-comb)
1755 (require 'calc-cplx)
1756 (require 'calc-embed)
1758 (require 'calc-forms)
1759 (require 'calc-frac)
1760 (require 'calc-funcs)
1761 (require 'calc-graph)
1762 (require 'calc-help)
1763 (require 'calc-incom)
1764 (require 'calc-keypd)
1765 (require 'calc-lang)
1766 (require 'calc-macs)
1768 (require 'calc-math)
1769 (require 'calc-misc)
1770 (require 'calc-mode)
1772 (require 'calc-poly)
1773 (require 'calc-prog)
1774 (require 'calc-rewr)
1775 (require 'calc-rules)
1777 (require 'calc-stat)
1778 (require 'calc-store)
1779 (require 'calc-stuff)
1780 (require 'calc-trail)
1781 (require 'calc-undo)
1782 (require 'calc-units)
1784 (require 'calc-yank)
1790 (message "All parts of Calc are now loaded"))
1793 ;;; Vector commands.
1795 (defun calc-concat (arg)
1798 (if (calc-is-inverse)
1799 (if (calc-is-hyperbolic)
1800 (calc-enter-result 2 "apnd" (list 'calcFunc-append
1801 (calc-top 1) (calc-top 2)))
1802 (calc-enter-result 2 "|" (list 'calcFunc-vconcat
1803 (calc-top 1) (calc-top 2))))
1804 (if (calc-is-hyperbolic)
1805 (calc-binary-op "apnd" 'calcFunc-append arg '(vec))
1806 (calc-binary-op "|" 'calcFunc-vconcat arg '(vec) nil '|)))))
1808 (defun calc-append (arg)
1810 (calc-hyperbolic-func)
1814 (defconst calc-arg-values '( ( var ArgA var-ArgA ) ( var ArgB var-ArgB )
1815 ( var ArgC var-ArgC ) ( var ArgD var-ArgD )
1816 ( var ArgE var-ArgE ) ( var ArgF var-ArgF )
1817 ( var ArgG var-ArgG ) ( var ArgH var-ArgH )
1818 ( var ArgI var-ArgI ) ( var ArgJ var-ArgJ )
1821 (defun calc-invent-args (n)
1822 (nreverse (nthcdr (- (length calc-arg-values) n) (reverse calc-arg-values))))
1829 (defun calc-user-key-map ()
1830 (if (featurep 'xemacs)
1831 (error "User-defined keys are not supported in XEmacs"))
1832 (let ((res (cdr (lookup-key calc-mode-map "z"))))
1833 (if (eq (car (car res)) 27)
1837 (defvar calc-z-prefix-buf nil)
1838 (defvar calc-z-prefix-msgs nil)
1840 (defun calc-z-prefix-help ()
1842 (let* ((calc-z-prefix-msgs nil)
1843 (calc-z-prefix-buf "")
1844 (kmap (sort (copy-sequence (calc-user-key-map))
1845 (function (lambda (x y) (< (car x) (car y))))))
1846 (flags (apply 'logior
1849 (calc-user-function-classify (car k))))
1851 (if (= (logand flags 8) 0)
1852 (calc-user-function-list kmap 7)
1853 (calc-user-function-list kmap 1)
1854 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)
1855 calc-z-prefix-buf "")
1856 (calc-user-function-list kmap 6))
1858 (setq calc-z-prefix-msgs (cons calc-z-prefix-buf calc-z-prefix-msgs)))
1859 (calc-do-prefix-help (nreverse calc-z-prefix-msgs) "user" ?z)))
1861 (defun calc-user-function-classify (key)
1862 (cond ((/= key (downcase key)) ; upper-case
1863 (if (assq (downcase key) (calc-user-key-map)) 9 1))
1864 ((/= key (upcase key)) 2) ; lower-case
1868 (defun calc-user-function-list (map flags)
1870 (let* ((key (car (car map)))
1871 (kind (calc-user-function-classify key))
1872 (func (cdr (car map))))
1873 (if (or (= (logand kind flags) 0)
1874 (not (symbolp func)))
1876 (let* ((name (symbol-name func))
1877 (name (if (string-match "\\`calc-" name)
1878 (substring name 5) name))
1879 (pos (string-match (char-to-string key) name))
1882 (if (= (logand kind 3) 0)
1883 (format "`%c' = %s" key name)
1886 (downcase (substring name 0 pos))
1888 (downcase (substring name (1+ pos))))
1892 (char-to-string (upcase key)))))
1893 (if (= (length calc-z-prefix-buf) 0)
1894 (setq calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1896 (if (> (+ (length calc-z-prefix-buf) (length desc)) 58)
1897 (setq calc-z-prefix-msgs
1898 (cons calc-z-prefix-buf calc-z-prefix-msgs)
1899 calc-z-prefix-buf (concat (if (= flags 1) "SHIFT + " "")
1901 (setq calc-z-prefix-buf (concat calc-z-prefix-buf ", " desc))))))
1902 (calc-user-function-list (cdr map) flags))))
1906 (defun calc-shift-Z-prefix-help ()
1908 (calc-do-prefix-help
1909 '("Define, Undefine, Formula, Kbd-macro, Edit, Get-defn"
1910 "Composition, Syntax; Invocation; Permanent; Timing"
1911 "kbd-macros: [ (if), : (else), | (else-if), ] (end-if)"
1912 "kbd-macros: < > (repeat), ( ) (for), { } (loop)"
1913 "kbd-macros: / (break)"
1914 "kbd-macros: ` (save), ' (restore)")
1920 (defmacro math-defcache (name init form)
1921 (let ((cache-prec (intern (concat (symbol-name name) "-cache-prec")))
1922 (cache-val (intern (concat (symbol-name name) "-cache")))
1923 (last-prec (intern (concat (symbol-name name) "-last-prec")))
1924 (last-val (intern (concat (symbol-name name) "-last"))))
1926 ; (list 'defvar cache-prec (if init (math-numdigs (nth 1 init)) -100))
1927 (list 'defvar cache-prec
1929 ((consp ,init) (math-numdigs (nth 1 ,init)))
1931 (nth 1 (math-numdigs (eval ,init))))
1934 (list 'defvar cache-val
1936 ((consp ,init) ,init)
1937 (,init (eval ,init))
1939 (list 'defvar last-prec -100)
1940 (list 'defvar last-val nil)
1941 (list 'setq 'math-cache-list
1943 (list 'quote cache-prec)
1945 (list 'quote last-prec)
1950 (list '= last-prec 'calc-internal-prec)
1953 (list 'math-normalize
1956 (list '>= cache-prec
1957 'calc-internal-prec)
1961 '((calc-internal-prec
1962 (+ calc-internal-prec
1966 '(+ calc-internal-prec 2)))
1968 last-prec 'calc-internal-prec))
1970 (put 'math-defcache 'lisp-indent-hook 2)
1972 ;;; Betcha didn't know that pi = 16 atan(1/5) - 4 atan(1/239). [F] [Public]
1973 (defconst math-approx-pi
1974 (math-read-number-simple "3.141592653589793238463")
1975 "An approximation for pi.")
1977 (math-defcache math-pi math-approx-pi
1978 (math-add-float (math-mul-float '(float 16 0)
1979 (math-arctan-raw '(float 2 -1)))
1980 (math-mul-float '(float -4 0)
1982 (math-float '(frac 1 239))))))
1984 (math-defcache math-two-pi nil
1985 (math-mul-float (math-pi) '(float 2 0)))
1987 (math-defcache math-pi-over-2 nil
1988 (math-mul-float (math-pi) '(float 5 -1)))
1990 (math-defcache math-pi-over-4 nil
1991 (math-mul-float (math-pi) '(float 25 -2)))
1993 (math-defcache math-pi-over-180 nil
1994 (math-div-float (math-pi) '(float 18 1)))
1996 (math-defcache math-sqrt-pi nil
1997 (math-sqrt-float (math-pi)))
1999 (math-defcache math-sqrt-2 nil
2000 (math-sqrt-float '(float 2 0)))
2002 (math-defcache math-sqrt-12 nil
2003 (math-sqrt-float '(float 12 0)))
2005 (math-defcache math-sqrt-two-pi nil
2006 (math-sqrt-float (math-two-pi)))
2008 (defconst math-approx-sqrt-e
2009 (math-read-number-simple "1.648721270700128146849")
2010 "An approximation for sqrt(3).")
2012 (math-defcache math-sqrt-e math-approx-sqrt-e
2013 (math-add-float '(float 1 0) (math-exp-minus-1-raw '(float 5 -1))))
2015 (math-defcache math-e nil
2016 (math-pow (math-sqrt-e) 2))
2018 (math-defcache math-phi nil
2019 (math-mul-float (math-add-float (math-sqrt-raw '(float 5 0)) '(float 1 0))
2022 (defconst math-approx-gamma-const
2023 (math-read-number-simple
2024 "0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495")
2025 "An approximation for gamma.")
2027 (math-defcache math-gamma-const nil
2028 math-approx-gamma-const)
2030 (defun math-half-circle (symb)
2031 (if (eq calc-angle-mode 'rad)
2037 (defun math-full-circle (symb)
2038 (math-mul 2 (math-half-circle symb)))
2040 (defun math-quarter-circle (symb)
2041 (math-div (math-half-circle symb) 2))
2043 (defvar math-expand-formulas nil)
2045 ;;;; Miscellaneous math routines.
2047 ;;; True if A is an odd integer. [P R R] [Public]
2048 (defun math-oddp (a)
2050 (and (memq (car a) '(bigpos bigneg))
2051 (= (% (nth 1 a) 2) 1))
2054 ;;; True if A is a small or big integer. [P x] [Public]
2055 (defun math-integerp (a)
2057 (memq (car-safe a) '(bigpos bigneg))))
2059 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2060 (defun math-natnump (a)
2062 (eq (car-safe a) 'bigpos)))
2064 ;;; True if A is a rational (or integer). [P x] [Public]
2065 (defun math-ratp (a)
2067 (memq (car-safe a) '(bigpos bigneg frac))))
2069 ;;; True if A is a real (or rational). [P x] [Public]
2070 (defun math-realp (a)
2072 (memq (car-safe a) '(bigpos bigneg frac float))))
2074 ;;; True if A is a real or HMS form. [P x] [Public]
2075 (defun math-anglep (a)
2077 (memq (car-safe a) '(bigpos bigneg frac float hms))))
2079 ;;; True if A is a number of any kind. [P x] [Public]
2080 (defun math-numberp (a)
2082 (memq (car-safe a) '(bigpos bigneg frac float cplx polar))))
2084 ;;; True if A is a complex number or angle. [P x] [Public]
2085 (defun math-scalarp (a)
2087 (memq (car-safe a) '(bigpos bigneg frac float cplx polar hms))))
2089 ;;; True if A is a vector. [P x] [Public]
2090 (defun math-vectorp (a)
2091 (eq (car-safe a) 'vec))
2093 ;;; True if A is any vector or scalar data object. [P x]
2094 (defun math-objvecp (a) ; [Public]
2096 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2097 hms date sdev intv mod vec incomplete))))
2099 ;;; True if A is an object not composed of sub-formulas . [P x] [Public]
2100 (defun math-primp (a)
2102 (memq (car-safe a) '(bigpos bigneg frac float cplx polar
2103 hms date mod var))))
2105 ;;; True if A is numerically (but not literally) an integer. [P x] [Public]
2106 (defun math-messy-integerp (a)
2108 ((eq (car-safe a) 'float) (>= (nth 2 a) 0))
2109 ((eq (car-safe a) 'frac) (Math-integerp (math-normalize a)))))
2111 ;;; True if A is numerically an integer. [P x] [Public]
2112 (defun math-num-integerp (a)
2113 (or (Math-integerp a)
2114 (Math-messy-integerp a)))
2116 ;;; True if A is (numerically) a non-negative integer. [P N] [Public]
2117 (defun math-num-natnump (a)
2119 (eq (car-safe a) 'bigpos)
2120 (and (eq (car-safe a) 'float)
2121 (Math-natnump (nth 1 a))
2124 ;;; True if A is an integer or will evaluate to an integer. [P x] [Public]
2125 (defun math-provably-integerp (a)
2126 (or (Math-integerp a)
2127 (and (memq (car-safe a) '(calcFunc-trunc
2135 ;;; True if A is a real or will evaluate to a real. [P x] [Public]
2136 (defun math-provably-realp (a)
2138 (math-provably-integerp a)
2139 (memq (car-safe a) '(abs arg))))
2141 ;;; True if A is a non-real, complex number. [P x] [Public]
2142 (defun math-complexp (a)
2143 (memq (car-safe a) '(cplx polar)))
2145 ;;; True if A is a non-real, rectangular complex number. [P x] [Public]
2146 (defun math-rect-complexp (a)
2147 (eq (car-safe a) 'cplx))
2149 ;;; True if A is a non-real, polar complex number. [P x] [Public]
2150 (defun math-polar-complexp (a)
2151 (eq (car-safe a) 'polar))
2153 ;;; True if A is a matrix. [P x] [Public]
2154 (defun math-matrixp (a)
2155 (and (Math-vectorp a)
2156 (Math-vectorp (nth 1 a))
2158 (let ((len (length (nth 1 a))))
2160 (while (and (setq a (cdr a))
2161 (Math-vectorp (car a))
2162 (= (length (car a)) len)))
2165 (defun math-matrixp-step (a len) ; [P L]
2167 (and (Math-vectorp (car a))
2168 (= (length (car a)) len)
2169 (math-matrixp-step (cdr a) len))))
2171 ;;; True if A is a square matrix. [P V] [Public]
2172 (defun math-square-matrixp (a)
2173 (let ((dims (math-mat-dimens a)))
2175 (= (car dims) (nth 1 dims)))))
2177 ;;; True if MAT is an identity matrix.
2178 (defun math-identity-matrix-p (mat &optional mul)
2179 (if (math-square-matrixp mat)
2183 (n (1- (length mat)))
2185 (while (and (<= i n)
2186 (math-ident-row-p (nth i mat) i a))
2192 (defun math-ident-row-p (row n &optional a)
2196 (not (memq nil (mapcar
2197 (lambda (x) (eq x 0))
2198 (nthcdr (1+ n) row))))
2199 (not (memq nil (mapcar
2200 (lambda (x) (eq x 0))
2203 (- (length row) n)))))
2204 (eq (elt row n) a)))
2206 ;;; True if A is any scalar data object. [P x]
2207 (defun math-objectp (a) ; [Public]
2209 (memq (car-safe a) '(bigpos bigneg frac float cplx
2210 polar hms date sdev intv mod))))
2212 ;;; Verify that A is an integer and return A in integer form. [I N; - x]
2213 (defun math-check-integer (a) ; [Public]
2214 (cond ((integerp a) a) ; for speed
2215 ((math-integerp a) a)
2216 ((math-messy-integerp a)
2218 (t (math-reject-arg a 'integerp))))
2220 ;;; Verify that A is a small integer and return A in integer form. [S N; - x]
2221 (defun math-check-fixnum (a &optional allow-inf) ; [Public]
2222 (cond ((integerp a) a) ; for speed
2223 ((Math-num-integerp a)
2224 (let ((a (math-trunc a)))
2227 (if (or (Math-lessp (lsh -1 -1) a)
2228 (Math-lessp a (- (lsh -1 -1))))
2229 (math-reject-arg a 'fixnump)
2231 ((and allow-inf (equal a '(var inf var-inf)))
2233 ((and allow-inf (equal a '(neg (var inf var-inf))))
2235 (t (math-reject-arg a 'fixnump))))
2237 ;;; Verify that A is an integer >= 0 and return A in integer form. [I N; - x]
2238 (defun math-check-natnum (a) ; [Public]
2239 (cond ((natnump a) a)
2240 ((and (not (math-negp a))
2241 (Math-num-integerp a))
2243 (t (math-reject-arg a 'natnump))))
2245 ;;; Verify that A is in floating-point form, or force it to be a float. [F N]
2246 (defun math-check-float (a) ; [Public]
2247 (cond ((eq (car-safe a) 'float) a)
2248 ((Math-vectorp a) (math-map-vec 'math-check-float a))
2249 ((Math-objectp a) (math-float a))
2252 ;;; Verify that A is a constant.
2253 (defun math-check-const (a &optional exp-ok)
2254 (if (or (math-constp a)
2255 (and exp-ok math-expand-formulas))
2257 (math-reject-arg a 'constp)))
2259 ;;; Some functions for working with error forms.
2260 (defun math-get-value (x)
2261 "Get the mean value of the error form X.
2262 If X is not an error form, return X."
2263 (if (eq (car-safe x) 'sdev)
2267 (defun math-get-sdev (x &optional one)
2268 "Get the standard deviation of the error form X.
2269 If X is not an error form, return 1."
2270 (if (eq (car-safe x) 'sdev)
2274 (defun math-contains-sdev-p (ls)
2275 "Non-nil if the list LS contains an error form."
2276 (let ((ls (if (eq (car-safe ls) 'vec) (cdr ls) ls)))
2277 (memq t (mapcar (lambda (x) (eq (car-safe x) 'sdev)) ls))))
2279 ;;; Coerce integer A to be a small integer. [S I]
2280 (defun math-fixnum (a)
2283 (if (eq (car a) 'bigneg)
2284 (- (math-fixnum-big (cdr a)))
2285 (math-fixnum-big (cdr a)))
2289 (defun math-fixnum-big (a)
2291 (+ (car a) (* (math-fixnum-big (cdr a)) math-bignum-digit-size))
2294 (defvar math-simplify-only nil)
2296 (defun math-normalize-fancy (a)
2297 (cond ((eq (car a) 'frac)
2298 (math-make-frac (math-normalize (nth 1 a))
2299 (math-normalize (nth 2 a))))
2301 (let ((real (math-normalize (nth 1 a)))
2302 (imag (math-normalize (nth 2 a))))
2303 (if (and (math-zerop imag)
2304 (not math-simplify-only)) ; oh, what a kludge!
2306 (list 'cplx real imag))))
2307 ((eq (car a) 'polar)
2308 (math-normalize-polar a))
2310 (math-normalize-hms a))
2312 (list 'date (math-normalize (nth 1 a))))
2314 (math-normalize-mod a))
2316 (let ((x (math-normalize (nth 1 a)))
2317 (s (math-normalize (nth 2 a))))
2318 (if (or (and (Math-objectp x) (not (Math-scalarp x)))
2319 (and (Math-objectp s) (not (Math-scalarp s))))
2320 (list 'calcFunc-sdev x s)
2321 (math-make-sdev x s))))
2323 (let ((mask (math-normalize (nth 1 a)))
2324 (lo (math-normalize (nth 2 a)))
2325 (hi (math-normalize (nth 3 a))))
2326 (if (if (eq (car-safe lo) 'date)
2327 (not (eq (car-safe hi) 'date))
2328 (or (and (Math-objectp lo) (not (Math-anglep lo)))
2329 (and (Math-objectp hi) (not (Math-anglep hi)))))
2330 (list 'calcFunc-intv mask lo hi)
2331 (math-make-intv mask lo hi))))
2333 (cons 'vec (mapcar 'math-normalize (cdr a))))
2334 ((eq (car a) 'quote)
2335 (math-normalize (nth 1 a)))
2336 ((eq (car a) 'special-const)
2337 (calc-with-default-simplification
2338 (math-normalize (nth 1 a))))
2340 (cons 'var (cdr a))) ; need to re-cons for selection routines
2341 ((eq (car a) 'calcFunc-if)
2342 (math-normalize-logical-op a))
2343 ((memq (car a) '(calcFunc-lambda calcFunc-quote calcFunc-condition))
2344 (let ((calc-simplify-mode 'none))
2345 (cons (car a) (mapcar 'math-normalize (cdr a)))))
2346 ((eq (car a) 'calcFunc-evalto)
2347 (setq a (or (nth 1 a) 0))
2348 (or calc-refreshing-evaltos
2349 (setq a (let ((calc-simplify-mode 'none)) (math-normalize a))))
2350 (let ((b (if (and (eq (car-safe a) 'calcFunc-assign)
2354 (list 'calcFunc-evalto
2356 (if (eq calc-simplify-mode 'none)
2358 (calc-with-default-simplification
2359 (math-evaluate-expr b))))))
2360 ((or (integerp (car a)) (consp (car a)))
2362 (math-normalize (car a))
2363 (error "Can't use multi-valued function in an expression")))))
2365 ;; The variable math-normalize-a is local to math-normalize in calc.el,
2366 ;; but is used by math-normalize-nonstandard, which is called by
2368 (defvar math-normalize-a)
2370 (defun math-normalize-nonstandard ()
2371 (if (consp calc-simplify-mode)
2373 (setq calc-simplify-mode 'none
2374 math-simplify-only (car-safe (cdr-safe math-normalize-a)))
2376 (and (symbolp (car math-normalize-a))
2377 (or (eq calc-simplify-mode 'none)
2378 (and (eq calc-simplify-mode 'num)
2379 (let ((aptr (setq math-normalize-a
2381 (car math-normalize-a)
2382 (mapcar 'math-normalize
2383 (cdr math-normalize-a))))))
2384 (while (and aptr (math-constp (car aptr)))
2385 (setq aptr (cdr aptr)))
2387 (cons (car math-normalize-a)
2388 (mapcar 'math-normalize (cdr math-normalize-a))))))
2391 ;;; Normalize a bignum digit list by trimming high-end zeros. [L l]
2392 (defun math-norm-bignum (a)
2393 (let ((digs a) (last nil))
2395 (or (eq (car digs) 0) (setq last digs))
2396 (setq digs (cdr digs)))
2402 (defun math-bignum-test (a) ; [B N; B s; b b]
2408 ;;; Return 0 for zero, -1 for negative, 1 for positive. [S n] [Public]
2409 (defun calcFunc-sign (a &optional x)
2410 (let ((signs (math-possible-signs a)))
2411 (cond ((eq signs 4) (or x 1))
2413 ((eq signs 1) (if x (math-neg x) -1))
2414 ((math-looks-negp a) (math-neg (calcFunc-sign (math-neg a))))
2415 (t (calc-record-why 'realp a)
2417 (list 'calcFunc-sign a x)
2418 (list 'calcFunc-sign a))))))
2420 ;;; Return 0 if A is numerically equal to B, <0 if less, >0 if more.
2421 ;;; Arguments must be normalized! [S N N]
2422 (defun math-compare (a b)
2425 (memq (car a) '(var neg * /))
2429 ((and (integerp a) (Math-integerp b))
2431 (if (eq (car b) 'bigpos) -1 1)
2433 ((and (eq (car-safe a) 'bigpos) (Math-integerp b))
2434 (if (eq (car-safe b) 'bigpos)
2435 (math-compare-bignum (cdr a) (cdr b))
2437 ((and (eq (car-safe a) 'bigneg) (Math-integerp b))
2438 (if (eq (car-safe b) 'bigneg)
2439 (math-compare-bignum (cdr b) (cdr a))
2441 ((eq (car-safe a) 'frac)
2442 (if (eq (car-safe b) 'frac)
2443 (math-compare (math-mul (nth 1 a) (nth 2 b))
2444 (math-mul (nth 1 b) (nth 2 a)))
2445 (math-compare (nth 1 a) (math-mul b (nth 2 a)))))
2446 ((eq (car-safe b) 'frac)
2447 (math-compare (math-mul a (nth 2 b)) (nth 1 b)))
2448 ((and (eq (car-safe a) 'float) (eq (car-safe b) 'float))
2449 (if (math-lessp-float a b) -1 1))
2450 ((and (eq (car-safe a) 'date) (eq (car-safe b) 'date))
2451 (math-compare (nth 1 a) (nth 1 b)))
2452 ((and (or (Math-anglep a)
2453 (and (eq (car a) 'cplx) (eq (nth 2 a) 0)))
2455 (and (eq (car b) 'cplx) (eq (nth 2 b) 0))))
2456 (calcFunc-sign (math-add a (math-neg b))))
2457 ((and (eq (car-safe a) 'intv)
2458 (or (Math-anglep b) (eq (car-safe b) 'date)))
2459 (let ((res (math-compare (nth 2 a) b)))
2460 (cond ((eq res 1) 1)
2461 ((and (eq res 0) (memq (nth 1 a) '(0 1))) 1)
2462 ((eq (setq res (math-compare (nth 3 a) b)) -1) -1)
2463 ((and (eq res 0) (memq (nth 1 a) '(0 2))) -1)
2465 ((and (eq (car-safe b) 'intv)
2466 (or (Math-anglep a) (eq (car-safe a) 'date)))
2467 (let ((res (math-compare a (nth 2 b))))
2468 (cond ((eq res -1) -1)
2469 ((and (eq res 0) (memq (nth 1 b) '(0 1))) -1)
2470 ((eq (setq res (math-compare a (nth 3 b))) 1) 1)
2471 ((and (eq res 0) (memq (nth 1 b) '(0 2))) 1)
2473 ((and (eq (car-safe a) 'intv) (eq (car-safe b) 'intv))
2474 (let ((res (math-compare (nth 3 a) (nth 2 b))))
2475 (cond ((eq res -1) -1)
2476 ((and (eq res 0) (or (memq (nth 1 a) '(0 2))
2477 (memq (nth 1 b) '(0 1)))) -1)
2478 ((eq (setq res (math-compare (nth 2 a) (nth 3 b))) 1) 1)
2479 ((and (eq res 0) (or (memq (nth 1 a) '(0 1))
2480 (memq (nth 1 b) '(0 2)))) 1)
2483 (if (or (equal a '(var uinf var-uinf))
2484 (equal a '(var nan var-nan)))
2486 (let ((dira (math-infinite-dir a)))
2487 (if (math-infinitep b)
2488 (if (or (equal b '(var uinf var-uinf))
2489 (equal b '(var nan var-nan)))
2491 (let ((dirb (math-infinite-dir b)))
2492 (cond ((and (eq dira 1) (eq dirb -1)) 1)
2493 ((and (eq dira -1) (eq dirb 1)) -1)
2495 (cond ((eq dira 1) 1)
2499 (if (or (equal b '(var uinf var-uinf))
2500 (equal b '(var nan var-nan)))
2502 (let ((dirb (math-infinite-dir b)))
2503 (cond ((eq dirb 1) -1)
2506 ((and (eq (car-safe a) 'calcFunc-exp)
2507 (eq (car-safe b) '^)
2508 (equal (nth 1 b) '(var e var-e)))
2509 (math-compare (nth 1 a) (nth 2 b)))
2510 ((and (eq (car-safe b) 'calcFunc-exp)
2511 (eq (car-safe a) '^)
2512 (equal (nth 1 a) '(var e var-e)))
2513 (math-compare (nth 2 a) (nth 1 b)))
2514 ((or (and (eq (car-safe a) 'calcFunc-sqrt)
2515 (eq (car-safe b) '^)
2516 (or (equal (nth 2 b) '(frac 1 2))
2517 (equal (nth 2 b) '(float 5 -1))))
2518 (and (eq (car-safe b) 'calcFunc-sqrt)
2519 (eq (car-safe a) '^)
2520 (or (equal (nth 2 a) '(frac 1 2))
2521 (equal (nth 2 a) '(float 5 -1)))))
2522 (math-compare (nth 1 a) (nth 1 b)))
2523 ((eq (car-safe a) 'var)
2526 (if (and (consp a) (consp b)
2527 (eq (car a) (car b))
2528 (math-compare-lists (cdr a) (cdr b)))
2532 ;;; Compare two bignum digit lists, return -1 for A<B, 0 for A=B, 1 for A>B.
2533 (defun math-compare-bignum (a b) ; [S l l]
2536 (if (< (car a) (car b))
2538 (if (> (car a) (car b))
2544 (while (eq (car a) 0) (setq a (cdr a)))
2546 (while (eq (car b) 0) (setq b (cdr b)))
2549 (defun math-compare-lists (a b)
2550 (cond ((null a) (null b))
2552 (t (and (Math-equal (car a) (car b))
2553 (math-compare-lists (cdr a) (cdr b))))))
2555 (defun math-lessp-float (a b) ; [P F F]
2556 (let ((ediff (- (nth 2 a) (nth 2 b))))
2558 (if (>= ediff (+ calc-internal-prec calc-internal-prec))
2559 (if (eq (nth 1 a) 0)
2560 (Math-integer-posp (nth 1 b))
2561 (Math-integer-negp (nth 1 a)))
2562 (Math-lessp (math-scale-int (nth 1 a) ediff)
2564 (if (>= (setq ediff (- ediff))
2565 (+ calc-internal-prec calc-internal-prec))
2566 (if (eq (nth 1 b) 0)
2567 (Math-integer-negp (nth 1 a))
2568 (Math-integer-posp (nth 1 b)))
2569 (Math-lessp (nth 1 a)
2570 (math-scale-int (nth 1 b) ediff))))))
2572 ;;; True if A is numerically equal to B. [P N N] [Public]
2573 (defun math-equal (a b)
2574 (= (math-compare a b) 0))
2576 ;;; True if A is numerically less than B. [P R R] [Public]
2577 (defun math-lessp (a b)
2578 (= (math-compare a b) -1))
2580 ;;; True if A is numerically equal to the integer B. [P N S] [Public]
2581 ;;; B must not be a multiple of 10.
2582 (defun math-equal-int (a b)
2584 (and (eq (car-safe a) 'float)
2591 ;;; Return the dimensions of a matrix as a list. [l x] [Public]
2592 (defun math-mat-dimens (m)
2593 (if (math-vectorp m)
2594 (if (math-matrixp m)
2595 (cons (1- (length m))
2596 (math-mat-dimens (nth 1 m)))
2597 (list (1- (length m))))
2602 (defun calc-binary-op-fancy (name func arg ident unary)
2603 (let ((n (prefix-numeric-value arg)))
2605 (calc-enter-result n
2607 (list 'calcFunc-reduce
2608 (math-calcFunc-to-var func)
2609 (cons 'vec (calc-top-list-n n)))))
2612 (calc-enter-result 1 name (list unary (calc-top-n 1)))))
2615 (calc-enter-result 0 name ident)
2616 (error "Argument must be nonzero")))
2618 (let ((rhs (calc-top-n 1)))
2619 (calc-enter-result (- 1 n)
2624 (calc-top-list-n (- n) 2))))))))
2626 (defun calc-unary-op-fancy (name func arg)
2627 (let ((n (prefix-numeric-value arg)))
2628 (if (= n 0) (setq n (calc-stack-size)))
2630 (calc-enter-result n
2635 (calc-top-list-n n))))
2637 (calc-enter-result 1
2639 (list func (calc-top-n (- n)))
2642 (defvar var-Holidays '(vec (var sat var-sat) (var sun var-sun)))
2643 (defvar var-Decls (list 'vec))
2646 (defun math-inexact-result ()
2647 (and calc-symbolic-mode
2648 (signal 'inexact-result nil)))
2650 (defun math-overflow (&optional exp)
2651 (if (and exp (math-negp exp))
2653 (signal 'math-overflow nil)))
2655 (defun math-underflow ()
2656 (signal 'math-underflow nil))
2658 ;;; Compute the greatest common divisor of A and B. [I I I] [Public]
2659 (defun math-gcd (a b)
2660 (cond ((not (or (consp a) (consp b)))
2661 (if (< a 0) (setq a (- a)))
2662 (if (< b 0) (setq b (- b)))
2674 (if (Math-integer-negp a) (setq a (math-neg a)))
2675 (if (Math-integer-negp b) (setq b (math-neg b)))
2677 (if (Math-natnum-lessp a b)
2679 (while (and (consp a) (not (eq b 0)))
2692 ;;; Evaluate variables in an expression.
2693 (defun math-evaluate-expr (x) ; [Public]
2694 (if calc-embedded-info
2695 (calc-embedded-evaluate-expr x)
2696 (calc-normalize (math-evaluate-expr-rec x))))
2698 (defalias 'calcFunc-evalv 'math-evaluate-expr)
2700 (defun calcFunc-evalvn (x &optional prec)
2703 (or (math-num-integerp prec)
2704 (if (and (math-vectorp prec)
2706 (math-num-integerp (nth 1 prec)))
2707 (setq prec (math-add (nth 1 prec) calc-internal-prec))
2708 (math-reject-arg prec 'integerp)))
2709 (setq prec (math-trunc prec))
2710 (if (< prec 3) (setq prec 3))
2711 (if (> prec calc-internal-prec)
2713 (let ((calc-internal-prec prec))
2714 (calcFunc-evalvn x)))
2715 (let ((calc-internal-prec prec))
2716 (calcFunc-evalvn x))))
2717 (let ((calc-symbolic-mode nil))
2718 (math-evaluate-expr x))))
2720 (defun math-evaluate-expr-rec (x)
2722 (if (memq (car x) '(calcFunc-quote calcFunc-condition
2723 calcFunc-evalto calcFunc-assign))
2724 (if (and (eq (car x) 'calcFunc-assign)
2726 (list (car x) (nth 1 x) (math-evaluate-expr-rec (nth 2 x)))
2728 (if (eq (car x) 'var)
2729 (if (and (calc-var-value (nth 2 x))
2730 (not (eq (car-safe (symbol-value (nth 2 x)))
2732 (let ((val (symbol-value (nth 2 x))))
2733 (if (eq (car-safe val) 'special-const)
2734 (if calc-symbolic-mode
2741 (cons (car x) (mapcar 'math-evaluate-expr-rec (cdr x))))))
2744 (defun math-any-floats (expr)
2745 (if (Math-primp expr)
2747 (while (and (setq expr (cdr expr)) (not (math-any-floats (car expr)))))
2750 (defvar var-FactorRules 'calc-FactorRules)
2752 (defvar math-mt-many nil)
2753 (defvar math-mt-func nil)
2755 (defun math-map-tree (math-mt-func mmt-expr &optional math-mt-many)
2756 (or math-mt-many (setq math-mt-many 1000000))
2757 (math-map-tree-rec mmt-expr))
2759 (defun math-map-tree-rec (mmt-expr)
2760 (or (= math-mt-many 0)
2761 (let ((mmt-done nil)
2763 (while (not mmt-done)
2764 (while (and (/= math-mt-many 0)
2765 (setq mmt-nextval (funcall math-mt-func mmt-expr))
2766 (not (equal mmt-expr mmt-nextval)))
2767 (setq mmt-expr mmt-nextval
2768 math-mt-many (if (> math-mt-many 0)
2770 (1+ math-mt-many))))
2771 (if (or (Math-primp mmt-expr)
2772 (<= math-mt-many 0))
2774 (setq mmt-nextval (cons (car mmt-expr)
2775 (mapcar 'math-map-tree-rec
2777 (if (equal mmt-nextval mmt-expr)
2779 (setq mmt-expr mmt-nextval))))))
2782 (defun math-is-true (expr)
2783 (if (Math-numberp expr)
2784 (not (Math-zerop expr))
2785 (math-known-nonzerop expr)))
2787 (defun math-const-var (expr)
2789 (eq (car expr) 'var)
2790 (or (and (symbolp (nth 2 expr))
2791 (boundp (nth 2 expr))
2792 (eq (car-safe (symbol-value (nth 2 expr))) 'special-const))
2793 (memq (nth 2 expr) '(var-inf var-uinf var-nan)))))
2795 ;; The variable math-integral-cache is originally declared in calcalg2.el,
2796 ;; but is set by math-defintegral and math-definitegral2.
2797 (defvar math-integral-cache)
2799 (defmacro math-defintegral (funcs &rest code)
2800 (setq math-integral-cache nil)
2804 (list 'put (list 'quote func) ''math-integral
2806 (list 'get (list 'quote func) ''math-integral)
2809 (append '(lambda (u))
2811 (if (symbolp funcs) (list funcs) funcs))))
2812 (put 'math-defintegral 'lisp-indent-hook 1)
2814 (defmacro math-defintegral-2 (funcs &rest code)
2815 (setq math-integral-cache nil)
2819 (list 'put (list 'quote func) ''math-integral-2
2821 (list 'get (list 'quote func)
2825 (append '(lambda (u v))
2827 (if (symbolp funcs) (list funcs) funcs))))
2828 (put 'math-defintegral-2 'lisp-indent-hook 1)
2830 (defvar var-IntegAfterRules 'calc-IntegAfterRules)
2832 (defvar var-FitRules 'calc-FitRules)
2834 (defvar math-poly-base-variable nil)
2835 (defvar math-poly-neg-powers nil)
2836 (defvar math-poly-mult-powers 1)
2837 (defvar math-poly-frac-powers nil)
2838 (defvar math-poly-exp-base nil)
2840 (defun math-build-var-name (name)
2842 (setq name (intern name)))
2843 (if (string-match "\\`var-." (symbol-name name))
2844 (list 'var (intern (substring (symbol-name name) 4)) name)
2845 (list 'var name (intern (concat "var-" (symbol-name name))))))
2847 (defvar math-simplifying-units nil)
2848 (defvar math-combining-units t)
2850 ;;; Nontrivial number parsing.
2852 (defun math-read-number-fancy (s)
2855 ;; Integer+fractions
2856 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2857 (let ((int (math-match-substring s 1))
2858 (num (math-match-substring s 2))
2859 (den (math-match-substring s 3)))
2860 (let ((int (if (> (length int) 0) (math-read-number int) 0))
2861 (num (if (> (length num) 0) (math-read-number num) 1))
2862 (den (if (> (length num) 0) (math-read-number den) 1)))
2864 (math-integerp int) (math-integerp num) (math-integerp den)
2865 (not (math-zerop den))
2866 (list 'frac (math-add num (math-mul int den)) den)))))
2869 ((string-match "^\\([0-9]*\\)[:/]\\([0-9]*\\)$" s)
2870 (let ((num (math-match-substring s 1))
2871 (den (math-match-substring s 2)))
2872 (let ((num (if (> (length num) 0) (math-read-number num) 1))
2873 (den (if (> (length num) 0) (math-read-number den) 1)))
2874 (and num den (math-integerp num) (math-integerp den)
2875 (not (math-zerop den))
2876 (list 'frac num den)))))
2879 ((string-match "^\\(.*\\) *mod *\\(.*\\)$" s)
2880 (let* ((n (math-match-substring s 1))
2881 (m (math-match-substring s 2))
2882 (n (math-read-number n))
2883 (m (math-read-number m)))
2884 (and n m (math-anglep n) (math-anglep m)
2888 ((string-match "^\\(.*\\) *\\+/- *\\(.*\\)$" s)
2889 (let* ((x (math-match-substring s 1))
2890 (sigma (math-match-substring s 2))
2891 (x (math-read-number x))
2892 (sigma (math-read-number sigma)))
2893 (and x sigma (math-scalarp x) (math-anglep sigma)
2894 (list 'sdev x sigma))))
2896 ;; Hours (or degrees)
2897 ((or (string-match "^\\([^#^]+\\)[@oOhH]\\(.*\\)$" s)
2898 (string-match "^\\([^#^]+\\)[dD][eE]?[gG]?\\(.*\\)$" s))
2899 (let* ((hours (math-match-substring s 1))
2900 (minsec (math-match-substring s 2))
2901 (hours (math-read-number hours))
2902 (minsec (if (> (length minsec) 0) (math-read-number minsec) 0)))
2904 (math-num-integerp hours)
2905 (not (math-negp hours)) (not (math-negp minsec))
2906 (cond ((math-num-integerp minsec)
2907 (and (Math-lessp minsec 60)
2908 (list 'hms hours minsec 0)))
2909 ((and (eq (car-safe minsec) 'hms)
2910 (math-zerop (nth 1 minsec)))
2911 (math-add (list 'hms hours 0 0) minsec))
2915 ((string-match "^\\([^'#^]+\\)[mM']\\(.*\\)$" s)
2916 (let* ((minutes (math-match-substring s 1))
2917 (seconds (math-match-substring s 2))
2918 (minutes (math-read-number minutes))
2919 (seconds (if (> (length seconds) 0) (math-read-number seconds) 0)))
2920 (and minutes seconds
2921 (math-num-integerp minutes)
2922 (not (math-negp minutes)) (not (math-negp seconds))
2923 (cond ((math-realp seconds)
2924 (and (Math-lessp minutes 60)
2925 (list 'hms 0 minutes seconds)))
2926 ((and (eq (car-safe seconds) 'hms)
2927 (math-zerop (nth 1 seconds))
2928 (math-zerop (nth 2 seconds)))
2929 (math-add (list 'hms 0 minutes 0) seconds))
2933 ((string-match "^\\([^\"#^]+\\)[sS\"]$" s)
2934 (let ((seconds (math-read-number (math-match-substring s 1))))
2935 (and seconds (math-realp seconds)
2936 (not (math-negp seconds))
2937 (Math-lessp seconds 60)
2938 (list 'hms 0 0 seconds))))
2940 ;; Integer+fraction with explicit radix
2941 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]\\)$" s)
2942 (let ((radix (string-to-number (math-match-substring s 1)))
2943 (int (math-match-substring s 3))
2944 (num (math-match-substring s 4))
2945 (den (math-match-substring s 5)))
2946 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2947 (num (if (> (length num) 0) (math-read-radix num radix) 1))
2948 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2949 (and int num den (not (math-zerop den))
2951 (math-add num (math-mul int den))
2954 ;; Fraction with explicit radix
2955 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)[:/]\\([0-9a-zA-Z]*\\)$" s)
2956 (let ((radix (string-to-number (math-match-substring s 1)))
2957 (num (math-match-substring s 3))
2958 (den (math-match-substring s 4)))
2959 (let ((num (if (> (length num) 0) (math-read-radix num radix) 1))
2960 (den (if (> (length den) 0) (math-read-radix den radix) 1)))
2961 (and num den (not (math-zerop den)) (list 'frac num den)))))
2963 ;; Float with explicit radix and exponent
2964 ((or (string-match "^0*\\(\\([2-9]\\|1[0-4]\\)\\(#\\|\\^\\^\\)[0-9a-dA-D.]+\\)[eE]\\([-+]?[0-9]+\\)$" s)
2965 (string-match "^\\(\\([0-9]+\\)\\(#\\|\\^\\^\\)[0-9a-zA-Z.]+\\) *\\* *\\2\\.? *\\^ *\\([-+]?[0-9]+\\)$" s))
2966 (let ((radix (string-to-number (math-match-substring s 2)))
2967 (mant (math-match-substring s 1))
2968 (exp (math-match-substring s 4)))
2969 (let ((mant (math-read-number mant))
2970 (exp (math-read-number exp)))
2972 (math-mul mant (math-pow (math-float radix) exp))))))
2974 ;; Float with explicit radix, no exponent
2975 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]*\\)\\.\\([0-9a-zA-Z]*\\)$" s)
2976 (let ((radix (string-to-number (math-match-substring s 1)))
2977 (int (math-match-substring s 3))
2978 (fracs (math-match-substring s 4)))
2979 (let ((int (if (> (length int) 0) (math-read-radix int radix) 0))
2980 (frac (if (> (length fracs) 0) (math-read-radix fracs radix) 0))
2981 (calc-prefer-frac nil))
2983 (math-add int (math-div frac (math-pow radix (length fracs))))))))
2985 ;; Integer with explicit radix
2986 ((string-match "^\\([0-9]+\\)\\(#\\|\\^\\^\\)\\([0-9a-zA-Z]+\\)$" s)
2987 (math-read-radix (math-match-substring s 3)
2988 (string-to-number (math-match-substring s 1))))
2990 ;; C language hexadecimal notation
2991 ((and (eq calc-language 'c)
2992 (string-match "^0[xX]\\([0-9a-fA-F]+\\)$" s))
2993 (let ((digs (math-match-substring s 1)))
2994 (math-read-radix digs 16)))
2996 ;; Pascal language hexadecimal notation
2997 ((and (eq calc-language 'pascal)
2998 (string-match "^\\$\\([0-9a-fA-F]+\\)$" s))
2999 (let ((digs (math-match-substring s 1)))
3000 (math-read-radix digs 16)))
3002 ;; Fraction using "/" instead of ":"
3003 ((string-match "^\\([0-9]+\\)/\\([0-9/]+\\)$" s)
3004 (math-read-number (concat (math-match-substring s 1) ":"
3005 (math-match-substring s 2))))
3010 (defun math-read-radix (s r) ; [I X D]
3015 (while (and (< i (length s))
3016 (setq dig (math-read-radix-digit (elt s i)))
3018 (setq res (math-add (math-mul res r) dig)
3020 (and (= i (length s))
3025 ;;; Expression parsing.
3027 (defvar math-expr-data)
3029 (defun math-read-expr (math-exp-str)
3030 (let ((math-exp-pos 0)
3031 (math-exp-old-pos 0)
3032 (math-exp-keep-spaces nil)
3033 math-exp-token math-expr-data)
3034 (setq math-exp-str (math-read-preprocess-string math-exp-str))
3035 (while (setq math-exp-token (string-match "\\.\\.\\([^.]\\|.[^.]\\)" math-exp-str))
3036 (setq math-exp-str (concat (substring math-exp-str 0 math-exp-token) "\\dots"
3037 (substring math-exp-str (+ math-exp-token 2)))))
3038 (math-build-parse-table)
3040 (let ((val (catch 'syntax (math-read-expr-level 0))))
3042 (list 'error math-exp-old-pos val)
3043 (if (equal math-exp-token 'end)
3045 (list 'error math-exp-old-pos "Syntax error"))))))
3047 (defun math-read-plain-expr (exp-str &optional error-check)
3048 (let* ((calc-language nil)
3049 (math-expr-opers (math-standard-ops))
3050 (val (math-read-expr exp-str)))
3052 (eq (car-safe val) 'error)
3053 (error "%s: %s" (nth 2 val) exp-str))
3057 (defun math-read-string ()
3058 (let ((str (read-from-string (concat math-expr-data "\""))))
3059 (or (and (= (cdr str) (1+ (length math-expr-data)))
3060 (stringp (car str)))
3061 (throw 'syntax "Error in string constant"))
3063 (append '(vec) (car str) nil)))
3067 ;;; They said it couldn't be done...
3069 (defun math-read-big-expr (str)
3070 (and (> (length calc-left-label) 0)
3071 (string-match (concat "^" (regexp-quote calc-left-label)) str)
3072 (setq str (concat (substring str 0 (match-beginning 0))
3073 (substring str (match-end 0)))))
3074 (and (> (length calc-right-label) 0)
3075 (string-match (concat (regexp-quote calc-right-label) " *$") str)
3076 (setq str (concat (substring str 0 (match-beginning 0))
3077 (substring str (match-end 0)))))
3078 (if (string-match "\\\\[^ \n|]" str)
3079 (if (eq calc-language 'latex)
3080 (math-read-expr str)
3081 (let ((calc-language 'latex)
3082 (calc-language-option nil)
3083 (math-expr-opers (get 'latex 'math-oper-table))
3084 (math-expr-function-mapping (get 'latex 'math-function-table))
3085 (math-expr-variable-mapping (get 'latex 'math-variable-table)))
3086 (math-read-expr str)))
3087 (let ((math-read-big-lines nil)
3090 (math-read-big-err-msg nil)
3091 math-read-big-baseline math-read-big-h2
3093 (while (setq new-pos (string-match "\n" str pos))
3094 (setq math-read-big-lines
3095 (cons (substring str pos new-pos) math-read-big-lines)
3097 (setq math-read-big-lines
3098 (nreverse (cons (substring str pos) math-read-big-lines))
3099 p math-read-big-lines)
3101 (setq width (max width (length (car p)))
3103 (if (math-read-big-bigp math-read-big-lines)
3105 (math-read-big-rec 0 0 width (length math-read-big-lines)))
3106 math-read-big-err-msg
3107 '(error 0 "Syntax error"))
3108 (math-read-expr str)))))
3110 (defun math-read-big-bigp (math-read-big-lines)
3111 (and (cdr math-read-big-lines)
3114 (height (if (> (length (car math-read-big-lines)) 0) 1 0)))
3115 (while (and (cdr math-read-big-lines)
3118 (l1 (car math-read-big-lines))
3119 (l2 (nth 1 math-read-big-lines))
3120 (len (min (length l1) (length l2))))
3121 (if (> (length l2) 0)
3122 (setq height (1+ height)))
3123 (while (and (< i len)
3124 (or (memq (aref l1 i) '(?\ ?\- ?\_))
3125 (memq (aref l2 i) '(?\ ?\-))
3126 (and (memq (aref l1 i) '(?\| ?\,))
3127 (= (aref l2 i) (aref l1 i)))
3128 (and (eq (aref l1 i) ?\[)
3129 (eq (aref l2 i) ?\[)
3130 (let ((math-rb-h2 (length l1)))
3131 (setq j (math-read-big-balance
3136 (and (eq (aref l1 i) ?\[)
3137 (eq (aref l2 i) ?\[)
3140 (setq math-read-big-lines (cdr math-read-big-lines)
3142 (or (and (> height 1)
3143 (not (cdr math-read-big-lines)))
3146 ;;; Nontrivial "flat" formatting.
3148 (defvar math-format-hash-args nil)
3149 (defvar calc-can-abbrev-vectors nil)
3151 (defun math-format-flat-expr-fancy (a prec)
3153 ((eq (car a) 'incomplete)
3154 (format "<incomplete %s>" (nth 1 a)))
3156 (if (or calc-full-trail-vectors (not calc-can-abbrev-vectors)
3158 (concat "[" (math-format-flat-vector (cdr a) ", "
3159 (if (cdr (cdr a)) 0 1000)) "]")
3161 (math-format-flat-expr (nth 1 a) 0) ", "
3162 (math-format-flat-expr (nth 2 a) 0) ", "
3163 (math-format-flat-expr (nth 3 a) 0) ", ..., "
3164 (math-format-flat-expr (nth (1- (length a)) a) 0) "]")))
3166 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3167 (math-format-flat-expr (nth 2 a) 1000)
3169 (math-format-flat-expr (nth 3 a) 1000)
3170 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3172 (concat "<" (math-format-date a) ">"))
3173 ((and (eq (car a) 'calcFunc-lambda) (> (length a) 2))
3175 (ap calc-arg-values)
3176 (math-format-hash-args (if (= (length a) 3) 1 t)))
3177 (while (and (cdr p) (equal (car p) (car ap)))
3178 (setq p (cdr p) ap (cdr ap)))
3181 (concat (math-format-flat-vector
3182 (nreverse (cdr (reverse (cdr a)))) ", " 0)
3185 (math-format-flat-expr (nth (1- (length a)) a) 0)
3188 (or (and math-format-hash-args
3189 (let ((p calc-arg-values) (v 1))
3190 (while (and p (not (equal (car p) a)))
3191 (setq p (and (eq math-format-hash-args t) (cdr p))
3194 (if (eq math-format-hash-args 1)
3196 (format "#%d" v)))))
3197 (symbol-name (nth 1 a))))
3198 ((and (memq (car a) '(calcFunc-string calcFunc-bstring))
3200 (math-vectorp (nth 1 a))
3201 (math-vector-is-string (nth 1 a)))
3202 (concat (substring (symbol-name (car a)) 9)
3203 "(" (math-vector-to-string (nth 1 a) t) ")"))
3205 (let ((op (math-assq2 (car a) (math-standard-ops))))
3206 (cond ((and op (= (length a) 3))
3207 (if (> prec (min (nth 2 op) (nth 3 op)))
3208 (concat "(" (math-format-flat-expr a 0) ")")
3209 (let ((lhs (math-format-flat-expr (nth 1 a) (nth 2 op)))
3210 (rhs (math-format-flat-expr (nth 2 a) (nth 3 op))))
3212 (if (or (equal op "^") (equal op "_"))
3213 (if (= (aref lhs 0) ?-)
3214 (setq lhs (concat "(" lhs ")")))
3215 (setq op (concat " " op " ")))
3216 (concat lhs op rhs))))
3218 (concat "-" (math-format-flat-expr (nth 1 a) 1000)))
3220 (concat (math-remove-dashes
3221 (if (string-match "\\`calcFunc-\\([a-zA-Z0-9']+\\)\\'"
3222 (symbol-name (car a)))
3223 (math-match-substring (symbol-name (car a)) 1)
3224 (symbol-name (car a))))
3226 (math-format-flat-vector (cdr a) ", " 0)
3229 (defun math-format-flat-vector (vec sep prec)
3231 (let ((buf (math-format-flat-expr (car vec) prec)))
3232 (while (setq vec (cdr vec))
3233 (setq buf (concat buf sep (math-format-flat-expr (car vec) prec))))
3237 (defun math-format-nice-expr (x w)
3238 (cond ((and (eq (car-safe x) 'vec)
3240 (let ((ops '(vec calcFunc-assign calcFunc-condition
3241 calcFunc-schedule calcFunc-iterations
3243 (or (memq (car-safe (nth 1 x)) ops)
3244 (memq (car-safe (nth 2 x)) ops)
3245 (memq (car-safe (nth 3 x)) ops)
3246 calc-break-vectors)))
3247 (concat "[ " (math-format-flat-vector (cdr x) ",\n " 0) " ]"))
3249 (let ((str (math-format-flat-expr x 0))
3251 (or (string-match "\"" str)
3252 (while (<= (setq p (+ pos w)) (length str))
3253 (while (and (> (setq p (1- p)) pos)
3254 (not (= (aref str p) ? ))))
3256 (setq str (concat (substring str 0 p)
3260 (setq pos (+ pos w)))))
3263 (defun math-assq2 (v a)
3264 (while (and a (not (eq v (nth 1 (car a)))))
3268 (defun math-format-number-fancy (a prec)
3270 ((eq (car a) 'float) ; non-decimal radix
3271 (if (Math-integer-negp (nth 1 a))
3272 (concat "-" (math-format-number (math-neg a)))
3273 (let ((str (if (and calc-radix-formatter
3274 (not (memq calc-language '(c pascal))))
3275 (funcall calc-radix-formatter
3277 (math-format-radix-float a prec))
3278 (format "%d#%s" calc-number-radix
3279 (math-format-radix-float a prec)))))
3280 (if (and prec (> prec 191) (string-match "\\*" str))
3281 (concat "(" str ")")
3284 (setq a (math-adjust-fraction a))
3285 (if (> (length (car calc-frac-format)) 1)
3286 (if (Math-integer-negp (nth 1 a))
3287 (concat "-" (math-format-number (math-neg a)))
3288 (let ((q (math-idivmod (nth 1 a) (nth 2 a))))
3289 (concat (let ((calc-frac-format nil))
3290 (math-format-number (car q)))
3291 (substring (car calc-frac-format) 0 1)
3292 (let ((math-radix-explicit-format nil)
3293 (calc-frac-format nil))
3294 (math-format-number (cdr q)))
3295 (substring (car calc-frac-format) 1 2)
3296 (let ((math-radix-explicit-format nil)
3297 (calc-frac-format nil))
3298 (math-format-number (nth 2 a))))))
3299 (concat (let ((calc-frac-format nil))
3300 (math-format-number (nth 1 a)))
3301 (car calc-frac-format)
3302 (let ((math-radix-explicit-format nil)
3303 (calc-frac-format nil))
3304 (math-format-number (nth 2 a))))))
3306 (if (math-zerop (nth 2 a))
3307 (math-format-number (nth 1 a))
3308 (if (null calc-complex-format)
3309 (concat "(" (math-format-number (nth 1 a))
3310 ", " (math-format-number (nth 2 a)) ")")
3311 (if (math-zerop (nth 1 a))
3312 (if (math-equal-int (nth 2 a) 1)
3313 (symbol-name calc-complex-format)
3314 (if (math-equal-int (nth 2 a) -1)
3315 (concat "-" (symbol-name calc-complex-format))
3317 (math-compose-expr (list '* (nth 2 a) '(cplx 0 1)) prec)
3318 (concat (math-format-number (nth 2 a)) " "
3319 (symbol-name calc-complex-format)))))
3321 (math-compose-expr (list (if (math-negp (nth 2 a)) '- '+)
3323 (list 'cplx 0 (math-abs (nth 2 a))))
3325 (concat (math-format-number (nth 1 a))
3326 (if (math-negp (nth 2 a)) " - " " + ")
3328 (list 'cplx 0 (math-abs (nth 2 a))))))))))
3329 ((eq (car a) 'polar)
3330 (concat "(" (math-format-number (nth 1 a))
3331 "; " (math-format-number (nth 2 a)) ")"))
3334 (concat "-" (math-format-number (math-neg a)))
3335 (let ((calc-number-radix 10)
3336 (calc-leading-zeros nil)
3337 (calc-group-digits nil))
3338 (format calc-hms-format
3339 (let ((calc-frac-format '(":" nil)))
3340 (math-format-number (nth 1 a)))
3341 (let ((calc-frac-format '(":" nil)))
3342 (math-format-number (nth 2 a)))
3343 (math-format-number (nth 3 a))))))
3345 (concat (if (memq (nth 1 a) '(0 1)) "(" "[")
3346 (math-format-number (nth 2 a))
3348 (math-format-number (nth 3 a))
3349 (if (memq (nth 1 a) '(0 2)) ")" "]")))
3351 (concat (math-format-number (nth 1 a))
3353 (math-format-number (nth 2 a))))
3355 (math-format-flat-expr a 0))
3356 (t (format "%s" a))))
3358 (defun math-adjust-fraction (a)
3359 (if (nth 1 calc-frac-format)
3361 (if (Math-integerp a) (setq a (list 'frac a 1)))
3362 (let ((g (math-quotient (nth 1 calc-frac-format)
3364 (nth 1 calc-frac-format)))))
3365 (list 'frac (math-mul (nth 1 a) g) (math-mul (nth 2 a) g))))
3368 (defun math-format-bignum-fancy (a) ; [X L]
3369 (let ((str (cond ((= calc-number-radix 10)
3370 (math-format-bignum-decimal a))
3371 ((= calc-number-radix 2)
3372 (math-format-bignum-binary a))
3373 ((= calc-number-radix 8)
3374 (math-format-bignum-octal a))
3375 ((= calc-number-radix 16)
3376 (math-format-bignum-hex a))
3377 (t (math-format-bignum-radix a)))))
3378 (if calc-leading-zeros
3379 (let* ((calc-internal-prec 6)
3380 (digs (math-compute-max-digits (math-abs calc-word-size)
3384 (setq str (concat (make-string (- digs len) ?0) str)))))
3385 (if calc-group-digits
3386 (let ((i (length str))
3387 (g (if (integerp calc-group-digits)
3388 (math-abs calc-group-digits)
3389 (if (memq calc-number-radix '(2 16)) 4 3))))
3392 str (concat (substring str 0 i)
3394 (substring str i))))
3396 (if (and (/= calc-number-radix 10)
3397 math-radix-explicit-format)
3398 (if calc-radix-formatter
3399 (funcall calc-radix-formatter calc-number-radix str)
3400 (format "%d#%s" calc-number-radix str))
3404 (defun math-group-float (str) ; [X X]
3405 (let* ((pt (or (string-match "[^0-9a-zA-Z]" str) (length str)))
3406 (g (if (integerp calc-group-digits) (math-abs calc-group-digits) 3))
3408 (if (and (integerp calc-group-digits) (< calc-group-digits 0))
3409 (while (< (setq i (+ (1+ i) g)) (length str))
3410 (setq str (concat (substring str 0 i)
3413 i (+ i (1- (length calc-group-char))))))
3417 str (concat (substring str 0 i)
3419 (substring str i))))
3422 ;;; Users can redefine this in their .emacs files.
3423 (defvar calc-keypad-user-menu nil
3424 "If non-nil, this describes an additional menu for calc-keypad.
3425 It should contain a list of three rows.
3426 Each row should be a list of six keys.
3427 Each key should be a list of a label string, plus a Calc command name spec.
3428 A command spec is a command name symbol, a keyboard macro string, a
3429 list containing a numeric entry string, or nil.
3430 A key may contain additional specs for Inverse, Hyperbolic, and Inv+Hyp.")
3432 (run-hooks 'calc-ext-load-hook)
3436 ;;; arch-tag: 1814ba7f-a390-49dc-9e25-a5adc205e97e
3437 ;;; calc-ext.el ends here
HCoop / bpt / emacs.git / blob