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7054901c | 1 | ;;; calc.el --- the GNU Emacs calculator |
f269b73e | 2 | |
acaf905b | 3 | ;; Copyright (C) 1990-1993, 2001-2012 Free Software Foundation, Inc. |
f269b73e CW |
4 | |
5 | ;; Author: David Gillespie <daveg@synaptics.com> | |
b943a9d6 | 6 | ;; Maintainer: Jay Belanger <jay.p.belanger@gmail.com> |
f269b73e | 7 | ;; Keywords: convenience, extensions |
136211a9 EZ |
8 | |
9 | ;; This file is part of GNU Emacs. | |
10 | ||
662c9c64 | 11 | ;; GNU Emacs is free software: you can redistribute it and/or modify |
7c671b23 | 12 | ;; it under the terms of the GNU General Public License as published by |
662c9c64 GM |
13 | ;; the Free Software Foundation, either version 3 of the License, or |
14 | ;; (at your option) any later version. | |
7c671b23 | 15 | |
136211a9 | 16 | ;; GNU Emacs is distributed in the hope that it will be useful, |
7c671b23 GM |
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. | |
20 | ||
21 | ;; You should have received a copy of the GNU General Public License | |
662c9c64 | 22 | ;; along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>. |
136211a9 | 23 | |
f269b73e | 24 | ;;; Commentary: |
136211a9 | 25 | |
906bd0ef CW |
26 | ;; Calc is split into many files. This file is the main entry point. |
27 | ;; This file includes autoload commands for various other basic Calc | |
28 | ;; facilities. The more advanced features are based in calc-ext, which | |
29 | ;; in turn contains autoloads for the rest of the Calc files. This | |
30 | ;; odd set of interactions is designed to make Calc's loading time | |
31 | ;; be as short as possible when only simple calculations are needed. | |
32 | ||
33 | ;; Original author's address: | |
34 | ;; Dave Gillespie, daveg@synaptics.com, uunet!synaptx!daveg. | |
35 | ;; Synaptics, Inc., 2698 Orchard Parkway, San Jose, CA 95134. | |
36 | ;; | |
37 | ;; The old address daveg@csvax.cs.caltech.edu will continue to | |
38 | ;; work for the foreseeable future. | |
39 | ;; | |
40 | ;; Bug reports and suggestions are always welcome! (Type M-x | |
41 | ;; report-calc-bug to send them). | |
42 | ||
43 | ;; All functions, macros, and Lisp variables defined here begin with one | |
44 | ;; of the prefixes "math", "Math", or "calc", with the exceptions of | |
45 | ;; "full-calc", "full-calc-keypad", "another-calc", "quick-calc", | |
46 | ;; "report-calc-bug", and "defmath". User-accessible variables begin | |
47 | ;; with "var-". | |
48 | ||
49 | ;;; TODO: | |
50 | ||
51 | ;; Fix rewrite mechanism to do less gratuitous rearrangement of terms. | |
52 | ;; Implement a pattern-based "refers" predicate. | |
53 | ;; | |
54 | ;; Make it possible to Undo a selection command. | |
55 | ;; Figure out how to allow selecting rows of matrices. | |
56 | ;; If cursor was in selection before, move it after j n, j p, j L, etc. | |
57 | ;; Consider reimplementing calc-delete-selection using rewrites. | |
58 | ;; | |
59 | ;; Implement line-breaking in non-flat compositions (is this desirable?). | |
60 | ;; Implement matrix formatting with multi-line components. | |
61 | ;; | |
62 | ;; Have "Z R" define a user command based on a set of rewrite rules. | |
63 | ;; Support "incf" and "decf" in defmath definitions. | |
64 | ;; Have defmath generate calls to calc-binary-op or calc-unary-op. | |
65 | ;; Make some way to define algebraic functions using keyboard macros. | |
66 | ;; | |
67 | ;; Allow calc-word-size=0 => Common Lisp-style signed bitwise arithmetic. | |
68 | ;; Consider digamma function (and thus arb. prec. Euler's gamma constant). | |
69 | ;; May as well make continued-fractions stuff available to the user. | |
70 | ;; | |
71 | ;; How about matrix eigenvalues, SVD, pseudo-inverse, etc.? | |
72 | ;; Should cache matrix inverses as well as decompositions. | |
73 | ;; If dividing by a non-square matrix, use least-squares automatically. | |
74 | ;; Consider supporting matrix exponentials. | |
75 | ;; | |
76 | ;; Have ninteg detect and work around singularities at the endpoints. | |
77 | ;; Use an adaptive subdivision algorithm for ninteg. | |
78 | ;; Provide nsum and nprod to go along with ninteg. | |
79 | ;; | |
80 | ;; Handle TeX-mode parsing of \matrix{ ... } where ... contains braces. | |
81 | ;; Support AmS-TeX's \{d,t,}frac, \{d,t,}binom notations. | |
82 | ;; Format and parse sums and products in Eqn and Math modes. | |
83 | ;; | |
84 | ;; Get math-read-big-expr to read sums, products, etc. | |
85 | ;; Change calc-grab-region to use math-read-big-expr. | |
86 | ;; Have a way to define functions using := in Embedded Mode. | |
87 | ;; | |
88 | ;; Support polar plotting with GNUPLOT. | |
89 | ;; Make a calc-graph-histogram function. | |
90 | ;; | |
91 | ;; Replace hokey formulas for complex functions with formulas designed | |
92 | ;; to minimize roundoff while maintaining the proper branch cuts. | |
93 | ;; Test accuracy of advanced math functions over whole complex plane. | |
94 | ;; Extend Bessel functions to provide arbitrary precision. | |
95 | ;; Extend advanced math functions to handle error forms and intervals. | |
96 | ;; Provide a better implementation for math-sin-cos-raw. | |
97 | ;; Provide a better implementation for math-hypot. | |
98 | ;; Provide a better implementation for math-make-frac. | |
99 | ;; Provide a better implementation for calcFunc-prfac. | |
100 | ;; Provide a better implementation for calcFunc-factor. | |
101 | ;; | |
102 | ;; Provide more examples in the tutorial section of the manual. | |
103 | ;; Cover in the tutorial: simplification modes, declarations, | |
104 | ;; bitwise stuff, selections, matrix mapping, financial functions. | |
105 | ;; Provide more Lisp programming examples in the manual. | |
106 | ;; Finish the Internals section of the manual (and bring it up to date). | |
107 | ;; | |
108 | ;; Tim suggests adding spreadsheet-like features. | |
109 | ;; Implement language modes for Gnuplot, Lisp, Ada, APL, ...? | |
110 | ;; | |
111 | ;; For atan series, if x > tan(pi/12) (about 0.268) reduce using the identity | |
112 | ;; atan(x) = atan((x * sqrt(3) - 1) / (sqrt(3) + x)) + pi/6. | |
113 | ;; | |
114 | ;; A better integration algorithm: | |
115 | ;; Use breadth-first instead of depth-first search, as follows: | |
116 | ;; The integral cache allows unfinished integrals in symbolic notation | |
117 | ;; on the righthand side. An entry with no unfinished integrals on the | |
118 | ;; RHS is "complete"; references to it elsewhere are replaced by the | |
119 | ;; integrated value. More than one cache entry for the same integral | |
120 | ;; may exist, though if one becomes complete, the others may be deleted. | |
121 | ;; The integrator works by using every applicable rule (such as | |
122 | ;; substitution, parts, linearity, etc.) to generate possible righthand | |
123 | ;; sides, all of which are entered into the cache. Now, as long as the | |
124 | ;; target integral is not complete (and the time limit has not run out) | |
125 | ;; choose an incomplete integral from the cache and, for every integral | |
126 | ;; appearing in its RHS's, add those integrals to the cache using the | |
c7015153 | 127 | ;; same substitution, parts, etc. rules. The cache should be organized |
906bd0ef CW |
128 | ;; as a priority queue, choosing the "simplest" incomplete integral at |
129 | ;; each step, or choosing randomly among equally simple integrals. | |
130 | ;; Simplicity equals small size, and few steps removed from the original | |
131 | ;; target integral. Note that when the integrator finishes, incomplete | |
132 | ;; integrals can be left in the cache, so the algorithm can start where | |
133 | ;; it left off if another similar integral is later requested. | |
134 | ;; Breadth-first search would avoid the nagging problem of, e.g., whether | |
135 | ;; to use parts or substitution first, and which decomposition is best. | |
136 | ;; All are tried, and any path that diverges will quickly be put on the | |
137 | ;; back burner by the priority queue. | |
138 | ;; Note: Probably a good idea to call math-simplify-extended before | |
139 | ;; measuring a formula's simplicity. | |
140 | ||
f269b73e | 141 | ;;; Code: |
136211a9 | 142 | |
91e51f9a | 143 | (require 'calc-macs) |
136211a9 | 144 | |
c68aaac5 JB |
145 | ;; Declare functions which are defined elsewhere. |
146 | (declare-function calc-set-language "calc-lang" (lang &optional option no-refresh)) | |
147 | (declare-function calc-edit-finish "calc-yank" (&optional keep)) | |
148 | (declare-function calc-edit-cancel "calc-yank" ()) | |
149 | (declare-function calc-do-quick-calc "calc-aent" ()) | |
150 | (declare-function calc-do-calc-eval "calc-aent" (str separator args)) | |
151 | (declare-function calc-do-keypad "calc-keypd" (&optional full-display interactive)) | |
152 | (declare-function calcFunc-unixtime "calc-forms" (date &optional zone)) | |
153 | (declare-function math-parse-date "calc-forms" (math-pd-str)) | |
154 | (declare-function math-lessp "calc-ext" (a b)) | |
7d08336e | 155 | (declare-function math-compare "calc-ext" (a b)) |
c68aaac5 JB |
156 | (declare-function calc-embedded-finish-command "calc-embed" ()) |
157 | (declare-function calc-embedded-select-buffer "calc-embed" ()) | |
158 | (declare-function calc-embedded-mode-line-change "calc-embed" ()) | |
159 | (declare-function calc-push-list-in-macro "calc-prog" (vals m sels)) | |
160 | (declare-function calc-replace-selections "calc-sel" (n vals m)) | |
161 | (declare-function calc-record-list "calc-misc" (vals &optional prefix)) | |
162 | (declare-function calc-normalize-fancy "calc-ext" (val)) | |
163 | (declare-function calc-do-handle-whys "calc-misc" ()) | |
164 | (declare-function calc-top-selected "calc-sel" (&optional n m)) | |
165 | (declare-function calc-sel-error "calc-sel" ()) | |
166 | (declare-function calc-pop-stack-in-macro "calc-prog" (n mm)) | |
167 | (declare-function calc-embedded-stack-change "calc-embed" ()) | |
168 | (declare-function calc-refresh-evaltos "calc-ext" (&optional which-var)) | |
169 | (declare-function calc-do-refresh "calc-misc" ()) | |
170 | (declare-function calc-binary-op-fancy "calc-ext" (name func arg ident unary)) | |
171 | (declare-function calc-unary-op-fancy "calc-ext" (name func arg)) | |
172 | (declare-function calc-delete-selection "calc-sel" (n)) | |
173 | (declare-function calc-alg-digit-entry "calc-aent" ()) | |
174 | (declare-function calc-alg-entry "calc-aent" (&optional initial prompt)) | |
175 | (declare-function calc-dots "calc-incom" ()) | |
176 | (declare-function calc-temp-minibuffer-message "calc-misc" (m)) | |
177 | (declare-function math-read-radix-digit "calc-misc" (dig)) | |
178 | (declare-function calc-digit-dots "calc-incom" ()) | |
179 | (declare-function math-normalize-fancy "calc-ext" (a)) | |
43f0c09e | 180 | (declare-function math-normalize-nonstandard "calc-ext" ()) |
c68aaac5 JB |
181 | (declare-function math-recompile-eval-rules "calc-alg" ()) |
182 | (declare-function math-apply-rewrites "calc-rewr" (expr rules &optional heads math-apply-rw-ruleset)) | |
183 | (declare-function calc-record-why "calc-misc" (&rest stuff)) | |
184 | (declare-function math-dimension-error "calc-vec" ()) | |
185 | (declare-function calc-incomplete-error "calc-incom" (a)) | |
186 | (declare-function math-float-fancy "calc-arith" (a)) | |
187 | (declare-function math-neg-fancy "calc-arith" (a)) | |
c68aaac5 JB |
188 | (declare-function calc-add-fractions "calc-frac" (a b)) |
189 | (declare-function math-add-objects-fancy "calc-arith" (a b)) | |
190 | (declare-function math-add-symb-fancy "calc-arith" (a b)) | |
191 | (declare-function math-mul-zero "calc-arith" (a b)) | |
192 | (declare-function calc-mul-fractions "calc-frac" (a b)) | |
193 | (declare-function math-mul-objects-fancy "calc-arith" (a b)) | |
194 | (declare-function math-mul-symb-fancy "calc-arith" (a b)) | |
195 | (declare-function math-reject-arg "calc-misc" (&optional a p option)) | |
196 | (declare-function math-div-by-zero "calc-arith" (a b)) | |
197 | (declare-function math-div-zero "calc-arith" (a b)) | |
198 | (declare-function math-make-frac "calc-frac" (num den)) | |
199 | (declare-function calc-div-fractions "calc-frac" (a b)) | |
200 | (declare-function math-div-objects-fancy "calc-arith" (a b)) | |
201 | (declare-function math-div-symb-fancy "calc-arith" (a b)) | |
202 | (declare-function math-compose-expr "calccomp" (a prec)) | |
203 | (declare-function math-comp-width "calccomp" (c)) | |
204 | (declare-function math-composition-to-string "calccomp" (c &optional width)) | |
205 | (declare-function math-stack-value-offset-fancy "calccomp" ()) | |
206 | (declare-function math-format-flat-expr-fancy "calc-ext" (a prec)) | |
207 | (declare-function math-adjust-fraction "calc-ext" (a)) | |
208 | (declare-function math-format-binary "calc-bin" (a)) | |
209 | (declare-function math-format-radix "calc-bin" (a)) | |
35d69a37 | 210 | (declare-function math-format-twos-complement "calc-bin" (a)) |
c68aaac5 JB |
211 | (declare-function math-group-float "calc-ext" (str)) |
212 | (declare-function math-mod "calc-misc" (a b)) | |
213 | (declare-function math-format-number-fancy "calc-ext" (a prec)) | |
214 | (declare-function math-format-bignum-fancy "calc-ext" (a)) | |
215 | (declare-function math-read-number-fancy "calc-ext" (s)) | |
216 | (declare-function calc-do-grab-region "calc-yank" (top bot arg)) | |
217 | (declare-function calc-do-grab-rectangle "calc-yank" (top bot arg &optional reduce)) | |
218 | (declare-function calc-do-embedded "calc-embed" (calc-embed-arg end obeg oend)) | |
219 | (declare-function calc-do-embedded-activate "calc-embed" (calc-embed-arg cbuf)) | |
220 | (declare-function math-do-defmath "calc-prog" (func args body)) | |
221 | (declare-function calc-load-everything "calc-ext" ()) | |
222 | ||
223 | ||
60afc271 | 224 | (defgroup calc nil |
111a5355 | 225 | "GNU Calc." |
60afc271 | 226 | :prefix "calc-" |
462789ab LK |
227 | :tag "Calc" |
228 | :group 'applications) | |
60afc271 | 229 | |
2aa0e5bf SM |
230 | ;; Do not autoload, so it is evaluated at run-time rather than at dump time. |
231 | ;; ;;;###autoload | |
2a78421d | 232 | (defcustom calc-settings-file |
2aa0e5bf | 233 | (locate-user-emacs-file "calc.el" ".calc.el") |
be5255e2 | 234 | "File in which to record permanent settings." |
60afc271 JB |
235 | :group 'calc |
236 | :type '(file)) | |
237 | ||
238 | (defcustom calc-language-alist | |
239 | '((latex-mode . latex) | |
240 | (tex-mode . tex) | |
241 | (plain-tex-mode . tex) | |
242 | (context-mode . tex) | |
243 | (nroff-mode . eqn) | |
244 | (pascal-mode . pascal) | |
245 | (c-mode . c) | |
246 | (c++-mode . c) | |
247 | (fortran-mode . fortran) | |
82f36338 JB |
248 | (f90-mode . fortran) |
249 | (texinfo-mode . calc-normal-language)) | |
be5255e2 | 250 | "Alist of major modes with appropriate Calc languages." |
60afc271 | 251 | :group 'calc |
2a78421d | 252 | :type '(alist :key-type (symbol :tag "Major mode") |
2f145e58 | 253 | :value-type (symbol :tag "Calc language"))) |
60afc271 | 254 | |
2a78421d | 255 | (defcustom calc-embedded-announce-formula |
60afc271 | 256 | "%Embed\n\\(% .*\n\\)*" |
be5255e2 | 257 | "A regular expression which is sure to be followed by a calc-embedded formula." |
60afc271 JB |
258 | :group 'calc |
259 | :type '(regexp)) | |
260 | ||
b2d2748d | 261 | (defcustom calc-embedded-announce-formula-alist |
0124a115 | 262 | '((c++-mode . "//Embed\n\\(// .*\n\\)*") |
b2d2748d | 263 | (c-mode . "/\\*Embed\\*/\n\\(/\\* .*\\*/\n\\)*") |
0124a115 | 264 | (f90-mode . "!Embed\n\\(! .*\n\\)*") |
b2d2748d | 265 | (fortran-mode . "C Embed\n\\(C .*\n\\)*") |
0124a115 JB |
266 | (html-helper-mode . "<!-- Embed -->\n\\(<!-- .* -->\n\\)*") |
267 | (html-mode . "<!-- Embed -->\n\\(<!-- .* -->\n\\)*") | |
268 | (nroff-mode . "\\\\\"Embed\n\\(\\\\\" .*\n\\)*") | |
269 | (pascal-mode . "{Embed}\n\\({.*}\n\\)*") | |
270 | (sgml-mode . "<!-- Embed -->\n\\(<!-- .* -->\n\\)*") | |
271 | (xml-mode . "<!-- Embed -->\n\\(<!-- .* -->\n\\)*") | |
272 | (texinfo-mode . "@c Embed\n\\(@c .*\n\\)*")) | |
be5255e2 | 273 | "Alist of major modes with appropriate values for `calc-embedded-announce-formula'." |
b2d2748d JB |
274 | :group 'calc |
275 | :type '(alist :key-type (symbol :tag "Major mode") | |
276 | :value-type (regexp :tag "Regexp to announce formula"))) | |
277 | ||
2a78421d | 278 | (defcustom calc-embedded-open-formula |
60afc271 | 279 | "\\`\\|^\n\\|\\$\\$?\\|\\\\\\[\\|^\\\\begin[^{].*\n\\|^\\\\begin{.*[^x]}.*\n\\|^@.*\n\\|^\\.EQ.*\n\\|\\\\(\\|^%\n\\|^\\.\\\\\"\n" |
be5255e2 | 280 | "A regular expression for the opening delimiter of a formula used by calc-embedded." |
60afc271 JB |
281 | :group 'calc |
282 | :type '(regexp)) | |
283 | ||
2a78421d | 284 | (defcustom calc-embedded-close-formula |
60afc271 | 285 | "\\'\\|\n$\\|\\$\\$?\\|\\\\]\\|^\\\\end[^{].*\n\\|^\\\\end{.*[^x]}.*\n\\|^@.*\n\\|^\\.EN.*\n\\|\\\\)\\|\n%\n\\|^\\.\\\\\"\n" |
be5255e2 | 286 | "A regular expression for the closing delimiter of a formula used by calc-embedded." |
60afc271 JB |
287 | :group 'calc |
288 | :type '(regexp)) | |
289 | ||
b2d2748d JB |
290 | (defcustom calc-embedded-open-close-formula-alist |
291 | nil | |
be5255e2 | 292 | "Alist of major modes with pairs of formula delimiters used by calc-embedded." |
b2d2748d JB |
293 | :group 'calc |
294 | :type '(alist :key-type (symbol :tag "Major mode") | |
295 | :value-type (list (regexp :tag "Opening formula delimiter") | |
296 | (regexp :tag "Closing formula delimiter")))) | |
297 | ||
2e756d9b JB |
298 | (defcustom calc-embedded-word-regexp |
299 | "[-+]?[0-9]+\\(\\.[0-9]+\\)?\\([eE][-+]?[0-9]+\\)?" | |
300 | "A regular expression determining a word for calc-embedded-word." | |
60afc271 JB |
301 | :group 'calc |
302 | :type '(regexp)) | |
303 | ||
2e756d9b | 304 | (defcustom calc-embedded-word-regexp-alist |
b2d2748d | 305 | nil |
be5255e2 | 306 | "Alist of major modes with word regexps used by calc-embedded-word." |
b2d2748d JB |
307 | :group 'calc |
308 | :type '(alist :key-type (symbol :tag "Major mode") | |
2e756d9b | 309 | :value-type (regexp :tag "Regexp for word"))) |
b2d2748d | 310 | |
2a78421d | 311 | (defcustom calc-embedded-open-plain |
60afc271 | 312 | "%%% " |
be5255e2 | 313 | "A string which is the opening delimiter for a \"plain\" formula. |
60afc271 JB |
314 | If calc-show-plain mode is enabled, this is inserted at the front of |
315 | each formula." | |
316 | :group 'calc | |
317 | :type '(string)) | |
318 | ||
2a78421d | 319 | (defcustom calc-embedded-close-plain |
60afc271 | 320 | " %%%\n" |
be5255e2 | 321 | "A string which is the closing delimiter for a \"plain\" formula. |
60afc271 JB |
322 | See calc-embedded-open-plain." |
323 | :group 'calc | |
324 | :type '(string)) | |
325 | ||
b2d2748d | 326 | (defcustom calc-embedded-open-close-plain-alist |
0124a115 | 327 | '((c++-mode "// %% " " %%\n") |
b2d2748d | 328 | (c-mode "/* %% " " %% */\n") |
0124a115 | 329 | (f90-mode "! %% " " %%\n") |
b2d2748d | 330 | (fortran-mode "C %% " " %%\n") |
0124a115 JB |
331 | (html-helper-mode "<!-- %% " " %% -->\n") |
332 | (html-mode "<!-- %% " " %% -->\n") | |
333 | (nroff-mode "\\\" %% " " %%\n") | |
334 | (pascal-mode "{%% " " %%}\n") | |
335 | (sgml-mode "<!-- %% " " %% -->\n") | |
336 | (xml-mode "<!-- %% " " %% -->\n") | |
337 | (texinfo-mode "@c %% " " %%\n")) | |
be5255e2 | 338 | "Alist of major modes with pairs of delimiters for \"plain\" formulas." |
b2d2748d JB |
339 | :group 'calc |
340 | :type '(alist :key-type (symbol :tag "Major mode") | |
341 | :value-type (list (string :tag "Opening \"plain\" delimiter") | |
342 | (string :tag "Closing \"plain\" delimiter")))) | |
343 | ||
2a78421d | 344 | (defcustom calc-embedded-open-new-formula |
60afc271 | 345 | "\n\n" |
be5255e2 | 346 | "A string which is inserted at front of formula by calc-embedded-new-formula." |
60afc271 JB |
347 | :group 'calc |
348 | :type '(string)) | |
349 | ||
2a78421d | 350 | (defcustom calc-embedded-close-new-formula |
60afc271 | 351 | "\n\n" |
be5255e2 | 352 | "A string which is inserted at end of formula by calc-embedded-new-formula." |
60afc271 JB |
353 | :group 'calc |
354 | :type '(string)) | |
355 | ||
b2d2748d JB |
356 | (defcustom calc-embedded-open-close-new-formula-alist |
357 | nil | |
be5255e2 | 358 | "Alist of major modes with pairs of new formula delimiters used by calc-embedded." |
b2d2748d JB |
359 | :group 'calc |
360 | :type '(alist :key-type (symbol :tag "Major mode") | |
361 | :value-type (list (string :tag "Opening new formula delimiter") | |
362 | (string :tag "Closing new formula delimiter")))) | |
363 | ||
2a78421d | 364 | (defcustom calc-embedded-open-mode |
60afc271 | 365 | "% " |
be5255e2 | 366 | "A string which should precede calc-embedded mode annotations. |
60afc271 JB |
367 | This is not required to be present for user-written mode annotations." |
368 | :group 'calc | |
369 | :type '(string)) | |
370 | ||
2a78421d | 371 | (defcustom calc-embedded-close-mode |
60afc271 | 372 | "\n" |
be5255e2 | 373 | "A string which should follow calc-embedded mode annotations. |
60afc271 JB |
374 | This is not required to be present for user-written mode annotations." |
375 | :group 'calc | |
376 | :type '(string)) | |
377 | ||
b2d2748d | 378 | (defcustom calc-embedded-open-close-mode-alist |
0124a115 | 379 | '((c++-mode "// " "\n") |
b2d2748d | 380 | (c-mode "/* " " */\n") |
0124a115 | 381 | (f90-mode "! " "\n") |
b2d2748d | 382 | (fortran-mode "C " "\n") |
0124a115 JB |
383 | (html-helper-mode "<!-- " " -->\n") |
384 | (html-mode "<!-- " " -->\n") | |
385 | (nroff-mode "\\\" " "\n") | |
386 | (pascal-mode "{ " " }\n") | |
387 | (sgml-mode "<!-- " " -->\n") | |
388 | (xml-mode "<!-- " " -->\n") | |
389 | (texinfo-mode "@c " "\n")) | |
be5255e2 | 390 | "Alist of major modes with pairs of strings to delimit annotations." |
b2d2748d JB |
391 | :group 'calc |
392 | :type '(alist :key-type (symbol :tag "Major mode") | |
393 | :value-type (list (string :tag "Opening annotation delimiter") | |
394 | (string :tag "Closing annotation delimiter")))) | |
395 | ||
2a78421d | 396 | (defcustom calc-gnuplot-name |
615cc5fb | 397 | (if (eq system-type 'windows-nt) "pgnuplot" "gnuplot") |
be5255e2 | 398 | "Name of GNUPLOT program, for calc-graph features." |
60afc271 JB |
399 | :group 'calc |
400 | :type '(string)) | |
401 | ||
2a78421d | 402 | (defcustom calc-gnuplot-plot-command |
60afc271 | 403 | nil |
be5255e2 | 404 | "Name of command for displaying GNUPLOT output; %s = file name to print." |
60afc271 JB |
405 | :group 'calc |
406 | :type '(choice (string) (sexp))) | |
407 | ||
2a78421d | 408 | (defcustom calc-gnuplot-print-command |
60afc271 | 409 | "lp %s" |
be5255e2 | 410 | "Name of command for printing GNUPLOT output; %s = file name to print." |
60afc271 JB |
411 | :group 'calc |
412 | :type '(choice (string) (sexp))) | |
136211a9 | 413 | |
515e955e JB |
414 | (defcustom calc-multiplication-has-precedence |
415 | t | |
be5255e2 | 416 | "If non-nil, multiplication has precedence over division |
515e955e JB |
417 | in normal mode." |
418 | :group 'calc | |
419 | :type 'boolean) | |
420 | ||
be19ef0b | 421 | (defcustom calc-undo-length |
b159e5b0 JB |
422 | 100 |
423 | "The number of undo steps that will be preserved when Calc is quit." | |
424 | :group 'calc | |
425 | :type 'integer) | |
426 | ||
2c695727 JB |
427 | (defcustom calc-highlight-selections-with-faces |
428 | nil | |
429 | "If non-nil, use a separate face to indicate selected sub-formulas. | |
430 | If `calc-show-selections' is non-nil, then selected sub-formulas are shown | |
c7015153 | 431 | by displaying the rest of the formula in `calc-nonselected-face'. |
2c695727 JB |
432 | If `calc-show-selections' is nil, then selected sub-formulas are shown |
433 | by displaying the sub-formula in `calc-selected-face'." | |
2bed3f04 | 434 | :version "24.1" |
2c695727 JB |
435 | :group 'calc |
436 | :type 'boolean) | |
437 | ||
d71990a1 | 438 | (defcustom calc-lu-field-reference |
603823f5 JB |
439 | "20 uPa" |
440 | "The default reference level for logarithmic units (field)." | |
2bed3f04 | 441 | :version "24.1" |
603823f5 JB |
442 | :group 'calc |
443 | :type '(string)) | |
444 | ||
d71990a1 | 445 | (defcustom calc-lu-power-reference |
603823f5 JB |
446 | "mW" |
447 | "The default reference level for logarithmic units (power)." | |
2bed3f04 | 448 | :version "24.1" |
603823f5 JB |
449 | :group 'calc |
450 | :type '(string)) | |
451 | ||
c7015153 | 452 | (defcustom calc-note-threshold "1" |
05a29101 JB |
453 | "The number of cents that a frequency should be near a note |
454 | to be identified as that note." | |
2bed3f04 | 455 | :version "24.1" |
05a29101 JB |
456 | :type 'string |
457 | :group 'calc) | |
603823f5 | 458 | |
2c695727 | 459 | (defface calc-nonselected-face |
c7015153 | 460 | '((t :inherit shadow |
2c695727 JB |
461 | :slant italic)) |
462 | "Face used to show the non-selected portion of a formula." | |
463 | :group 'calc) | |
464 | ||
465 | (defface calc-selected-face | |
466 | '((t :weight bold)) | |
467 | "Face used to show the selected portion of a formula." | |
468 | :group 'calc) | |
469 | ||
b943a9d6 | 470 | (defvar calc-bug-address "jay.p.belanger@gmail.com" |
ed65ed86 | 471 | "Address of the maintainer of Calc, for use by `report-calc-bug'.") |
136211a9 | 472 | |
730576f3 CW |
473 | (defvar calc-scan-for-dels t |
474 | "If t, scan keymaps to find all DEL-like keys. | |
475 | if nil, only DEL itself is mapped to calc-pop.") | |
136211a9 | 476 | |
730576f3 CW |
477 | (defvar calc-stack '((top-of-stack 1 nil)) |
478 | "Calculator stack. | |
479 | Entries are 3-lists: Formula, Height (in lines), Selection (or nil).") | |
136211a9 | 480 | |
730576f3 CW |
481 | (defvar calc-stack-top 1 |
482 | "Index into `calc-stack' of \"top\" of stack. | |
483 | This is 1 unless `calc-truncate-stack' has been used.") | |
136211a9 | 484 | |
7b2cda38 JB |
485 | (defvar calc-display-sci-high 0 |
486 | "Floating-point numbers with this positive exponent or higher above the | |
487 | current precision are displayed in scientific notation in calc-mode.") | |
488 | ||
489 | (defvar calc-display-sci-low -3 | |
490 | "Floating-point numbers with this negative exponent or lower are displayed | |
491 | scientific notation in calc-mode.") | |
492 | ||
493 | (defvar calc-other-modes nil | |
494 | "List of used-defined strings to append to Calculator mode line.") | |
136211a9 | 495 | |
7b2cda38 JB |
496 | (defvar calc-Y-help-msgs nil |
497 | "List of strings for Y prefix help.") | |
136211a9 | 498 | |
7b2cda38 JB |
499 | (defvar calc-loaded-settings-file nil |
500 | "t if `calc-settings-file' has been loaded yet.") | |
136211a9 | 501 | |
6c8e7554 JB |
502 | |
503 | (defvar calc-mode-var-list '() | |
504 | "List of variables used in customizing GNU Calc.") | |
505 | ||
506 | (defmacro defcalcmodevar (var defval &optional doc) | |
01633b01 JB |
507 | "Declare VAR as a Calc variable, with default value DEFVAL |
508 | and doc-string DOC. | |
509 | The variable VAR will be added to `calc-mode-var-list'." | |
6c8e7554 JB |
510 | `(progn |
511 | (defvar ,var ,defval ,doc) | |
512 | (add-to-list 'calc-mode-var-list (list (quote ,var) ,defval)))) | |
513 | ||
514 | (defun calc-mode-var-list-restore-default-values () | |
01633b01 | 515 | "Restore the default values of the variables in `calc-mode-var-list'." |
6c8e7554 JB |
516 | (mapcar (function (lambda (v) (set (car v) (nth 1 v)))) |
517 | calc-mode-var-list)) | |
518 | ||
519 | (defun calc-mode-var-list-restore-saved-values () | |
01633b01 | 520 | "Restore the user-saved values of the variables in `calc-mode-var-list'." |
6c8e7554 JB |
521 | (let ((newvarlist '())) |
522 | (save-excursion | |
f1ed747e JB |
523 | (let (pos |
524 | (file (substitute-in-file-name calc-settings-file))) | |
525 | (when (and | |
526 | (file-regular-p file) | |
527 | (set-buffer (find-file-noselect file)) | |
528 | (goto-char (point-min)) | |
529 | (search-forward ";;; Mode settings stored by Calc" nil t) | |
530 | (progn | |
531 | (forward-line 1) | |
532 | (setq pos (point)) | |
533 | (search-forward "\n;;; End of mode settings" nil t))) | |
6c8e7554 JB |
534 | (beginning-of-line) |
535 | (calc-mode-var-list-restore-default-values) | |
536 | (eval-region pos (point)) | |
537 | (let ((varlist calc-mode-var-list)) | |
538 | (while varlist | |
539 | (let ((var (car varlist))) | |
540 | (setq newvarlist | |
541 | (cons (list (car var) (symbol-value (car var))) | |
542 | newvarlist))) | |
543 | (setq varlist (cdr varlist))))))) | |
544 | (if newvarlist | |
545 | (mapcar (function (lambda (v) (set (car v) (nth 1 v)))) | |
546 | newvarlist) | |
547 | (calc-mode-var-list-restore-default-values)))) | |
548 | ||
549 | (defcalcmodevar calc-always-load-extensions nil | |
7a2c03a8 | 550 | "If non-nil, load the calc-ext module automatically when Calc is loaded.") |
6c8e7554 JB |
551 | |
552 | (defcalcmodevar calc-line-numbering t | |
553 | "If non-nil, display line numbers in Calculator stack.") | |
554 | ||
555 | (defcalcmodevar calc-line-breaking t | |
556 | "If non-nil, break long values across multiple lines in Calculator stack.") | |
557 | ||
558 | (defcalcmodevar calc-display-just nil | |
559 | "If nil, stack display is left-justified. | |
730576f3 CW |
560 | If `right', stack display is right-justified. |
561 | If `center', stack display is centered.") | |
136211a9 | 562 | |
6c8e7554 JB |
563 | (defcalcmodevar calc-display-origin nil |
564 | "Horizontal origin of displayed stack entries. | |
730576f3 CW |
565 | In left-justified mode, this is effectively indentation. (Default 0). |
566 | In right-justified mode, this is effectively window width. | |
567 | In centered mode, center of stack entry is placed here.") | |
568 | ||
6c8e7554 JB |
569 | (defcalcmodevar calc-number-radix 10 |
570 | "Radix for entry and display of numbers in calc-mode, 2-36.") | |
730576f3 | 571 | |
6c8e7554 JB |
572 | (defcalcmodevar calc-leading-zeros nil |
573 | "If non-nil, leading zeros are provided to pad integers to calc-word-size.") | |
730576f3 | 574 | |
6c8e7554 JB |
575 | (defcalcmodevar calc-group-digits nil |
576 | "If non-nil, group digits in large displayed integers by inserting spaces. | |
730576f3 CW |
577 | If an integer, group that many digits at a time. |
578 | If t, use 4 for binary and hex, 3 otherwise.") | |
579 | ||
6c8e7554 JB |
580 | (defcalcmodevar calc-group-char "," |
581 | "The character (in the form of a string) to be used for grouping digits. | |
730576f3 CW |
582 | This is used only when calc-group-digits mode is on.") |
583 | ||
6c8e7554 JB |
584 | (defcalcmodevar calc-point-char "." |
585 | "The character (in the form of a string) to be used as a decimal point.") | |
2a78421d | 586 | |
6c8e7554 JB |
587 | (defcalcmodevar calc-frac-format '(":" nil) |
588 | "Format of displayed fractions; a string of one or two of \":\" or \"/\".") | |
730576f3 | 589 | |
6c8e7554 JB |
590 | (defcalcmodevar calc-prefer-frac nil |
591 | "If non-nil, prefer fractional over floating-point results.") | |
730576f3 | 592 | |
6c8e7554 JB |
593 | (defcalcmodevar calc-hms-format "%s@ %s' %s\"" |
594 | "Format of displayed hours-minutes-seconds angles, a format string. | |
730576f3 CW |
595 | String must contain three %s marks for hours, minutes, seconds respectively.") |
596 | ||
6c8e7554 JB |
597 | (defcalcmodevar calc-date-format '((H ":" mm C SS pp " ") |
598 | Www " " Mmm " " D ", " YYYY) | |
599 | "Format of displayed date forms.") | |
730576f3 | 600 | |
6c8e7554 JB |
601 | (defcalcmodevar calc-float-format '(float 0) |
602 | "Format to use for display of floating-point numbers in calc-mode. | |
730576f3 CW |
603 | Must be a list of one of the following forms: |
604 | (float 0) Floating point format, display full precision. | |
605 | (float N) N > 0: Floating point format, at most N significant figures. | |
606 | (float -N) -N < 0: Floating point format, calc-internal-prec - N figs. | |
607 | (fix N) N >= 0: Fixed point format, N places after decimal point. | |
608 | (sci 0) Scientific notation, full precision. | |
609 | (sci N) N > 0: Scientific notation, N significant figures. | |
610 | (sci -N) -N < 0: Scientific notation, calc-internal-prec - N figs. | |
611 | (eng 0) Engineering notation, full precision. | |
612 | (eng N) N > 0: Engineering notation, N significant figures. | |
613 | (eng -N) -N < 0: Engineering notation, calc-internal-prec - N figs.") | |
614 | ||
6c8e7554 JB |
615 | (defcalcmodevar calc-full-float-format '(float 0) |
616 | "Format to use when full precision must be displayed.") | |
730576f3 | 617 | |
6c8e7554 JB |
618 | (defcalcmodevar calc-complex-format nil |
619 | "Format to use for display of complex numbers in calc-mode. Must be one of: | |
730576f3 CW |
620 | nil Use (x, y) form. |
621 | i Use x + yi form. | |
622 | j Use x + yj form.") | |
623 | ||
6c8e7554 JB |
624 | (defcalcmodevar calc-complex-mode 'cplx |
625 | "Preferred form, either `cplx' or `polar', for complex numbers.") | |
136211a9 | 626 | |
6c8e7554 JB |
627 | (defcalcmodevar calc-infinite-mode nil |
628 | "If nil, 1 / 0 is left unsimplified. | |
730576f3 CW |
629 | If 0, 1 / 0 is changed to inf (zeros are considered positive). |
630 | Otherwise, 1 / 0 is changed to uinf (undirected infinity).") | |
631 | ||
6c8e7554 JB |
632 | (defcalcmodevar calc-display-strings nil |
633 | "If non-nil, display vectors of byte-sized integers as strings.") | |
136211a9 | 634 | |
6c8e7554 JB |
635 | (defcalcmodevar calc-matrix-just 'center |
636 | "If nil, vector elements are left-justified. | |
730576f3 CW |
637 | If `right', vector elements are right-justified. |
638 | If `center', vector elements are centered.") | |
639 | ||
6c8e7554 JB |
640 | (defcalcmodevar calc-break-vectors nil |
641 | "If non-nil, display vectors one element per line.") | |
136211a9 | 642 | |
6c8e7554 JB |
643 | (defcalcmodevar calc-full-vectors t |
644 | "If non-nil, display long vectors in full. If nil, use abbreviated form.") | |
730576f3 | 645 | |
6c8e7554 JB |
646 | (defcalcmodevar calc-full-trail-vectors t |
647 | "If non-nil, display long vectors in full in the trail.") | |
136211a9 | 648 | |
6c8e7554 JB |
649 | (defcalcmodevar calc-vector-commas "," |
650 | "If non-nil, separate elements of displayed vectors with this string.") | |
730576f3 | 651 | |
6c8e7554 JB |
652 | (defcalcmodevar calc-vector-brackets "[]" |
653 | "If non-nil, surround displayed vectors with these characters.") | |
730576f3 | 654 | |
6c8e7554 JB |
655 | (defcalcmodevar calc-matrix-brackets '(R O) |
656 | "A list of code-letter symbols that control \"big\" matrix display. | |
730576f3 CW |
657 | If `R' is present, display inner brackets for matrices. |
658 | If `O' is present, display outer brackets for matrices (above/below). | |
659 | If `C' is present, display outer brackets for matrices (centered).") | |
660 | ||
6c8e7554 JB |
661 | (defcalcmodevar calc-language nil |
662 | "Language or format for entry and display of stack values. Must be one of: | |
730576f3 CW |
663 | nil Use standard Calc notation. |
664 | flat Use standard Calc notation, one-line format. | |
665 | big Display formulas in 2-d notation (enter w/std notation). | |
666 | unform Use unformatted display: add(a, mul(b,c)). | |
667 | c Use C language notation. | |
668 | pascal Use Pascal language notation. | |
669 | fortran Use Fortran language notation. | |
670 | tex Use TeX notation. | |
ad1c32c7 | 671 | latex Use LaTeX notation. |
730576f3 | 672 | eqn Use eqn notation. |
d4b3de0b JB |
673 | yacas Use Yacas notation. |
674 | maxima Use Maxima notation. | |
675 | giac Use Giac notation. | |
730576f3 CW |
676 | math Use Mathematica(tm) notation. |
677 | maple Use Maple notation.") | |
136211a9 | 678 | |
6c8e7554 JB |
679 | (defcalcmodevar calc-language-option nil |
680 | "Numeric prefix argument for the command that set `calc-language'.") | |
136211a9 | 681 | |
6c8e7554 JB |
682 | (defcalcmodevar calc-left-label "" |
683 | "Label to display at left of formula.") | |
136211a9 | 684 | |
6c8e7554 JB |
685 | (defcalcmodevar calc-right-label "" |
686 | "Label to display at right of formula.") | |
136211a9 | 687 | |
6c8e7554 JB |
688 | (defcalcmodevar calc-word-size 32 |
689 | "Minimum number of bits per word, if any, for binary operations in calc-mode.") | |
136211a9 | 690 | |
6c8e7554 JB |
691 | (defcalcmodevar calc-previous-modulo nil |
692 | "Most recently used value of M in a modulo form.") | |
136211a9 | 693 | |
6c8e7554 JB |
694 | (defcalcmodevar calc-simplify-mode nil |
695 | "Type of simplification applied to results. | |
730576f3 CW |
696 | If `none', results are not simplified when pushed on the stack. |
697 | If `num', functions are simplified only when args are constant. | |
698 | If nil, only fast simplifications are applied. | |
699 | If `binary', `math-clip' is applied if appropriate. | |
700 | If `alg', `math-simplify' is applied. | |
701 | If `ext', `math-simplify-extended' is applied. | |
702 | If `units', `math-simplify-units' is applied.") | |
136211a9 | 703 | |
6c8e7554 JB |
704 | (defcalcmodevar calc-auto-recompute t |
705 | "If non-nil, recompute evalto's automatically when necessary.") | |
136211a9 | 706 | |
6c8e7554 | 707 | (defcalcmodevar calc-display-raw nil |
650cb9f1 | 708 | "If non-nil, display shows unformatted Lisp exprs. (For debugging)") |
136211a9 | 709 | |
6c8e7554 JB |
710 | (defcalcmodevar calc-internal-prec 12 |
711 | "Number of digits of internal precision for calc-mode calculations.") | |
136211a9 | 712 | |
6c8e7554 JB |
713 | (defcalcmodevar calc-angle-mode 'deg |
714 | "If deg, angles are in degrees; if rad, angles are in radians. | |
730576f3 | 715 | If hms, angles are in degrees-minutes-seconds.") |
136211a9 | 716 | |
6c8e7554 JB |
717 | (defcalcmodevar calc-algebraic-mode nil |
718 | "If non-nil, numeric entry accepts whole algebraic expressions. | |
730576f3 | 719 | If nil, algebraic expressions must be preceded by \"'\".") |
136211a9 | 720 | |
6c8e7554 JB |
721 | (defcalcmodevar calc-incomplete-algebraic-mode nil |
722 | "Like calc-algebraic-mode except only affects ( and [ keys.") | |
730576f3 | 723 | |
6c8e7554 JB |
724 | (defcalcmodevar calc-symbolic-mode nil |
725 | "If non-nil, inexact numeric computations like sqrt(2) are postponed. | |
730576f3 CW |
726 | If nil, computations on numbers always yield numbers where possible.") |
727 | ||
6c8e7554 JB |
728 | (defcalcmodevar calc-matrix-mode nil |
729 | "If `matrix', variables are assumed to be matrix-valued. | |
730576f3 | 730 | If a number, variables are assumed to be NxN matrices. |
bbcaa3e3 | 731 | If `sqmatrix', variables are assumed to be square matrices of an unspecified size. |
730576f3 CW |
732 | If `scalar', variables are assumed to be scalar-valued. |
733 | If nil, symbolic math routines make no assumptions about variables.") | |
734 | ||
35d69a37 JB |
735 | (defcalcmodevar calc-twos-complement-mode nil |
736 | "If non-nil, display integers in two's complement mode.") | |
7d08336e JB |
737 | |
738 | ||
6c8e7554 JB |
739 | (defcalcmodevar calc-shift-prefix nil |
740 | "If non-nil, shifted letter keys are prefix keys rather than normal meanings.") | |
730576f3 | 741 | |
6c8e7554 JB |
742 | (defcalcmodevar calc-window-height 7 |
743 | "Initial height of Calculator window.") | |
730576f3 | 744 | |
6c8e7554 JB |
745 | (defcalcmodevar calc-display-trail t |
746 | "If non-nil, M-x calc creates a window to display Calculator trail.") | |
730576f3 | 747 | |
6c8e7554 JB |
748 | (defcalcmodevar calc-show-selections t |
749 | "If non-nil, selected sub-formulas are shown by obscuring rest of formula. | |
730576f3 CW |
750 | If nil, selected sub-formulas are highlighted by obscuring the sub-formulas.") |
751 | ||
6c8e7554 JB |
752 | (defcalcmodevar calc-use-selections t |
753 | "If non-nil, commands operate only on selected portions of formulas. | |
730576f3 CW |
754 | If nil, selections displayed but ignored.") |
755 | ||
6c8e7554 JB |
756 | (defcalcmodevar calc-assoc-selections t |
757 | "If non-nil, selection hides deep structure of associative formulas.") | |
730576f3 | 758 | |
6c8e7554 JB |
759 | (defcalcmodevar calc-display-working-message 'lots |
760 | "If non-nil, display \"Working...\" for potentially slow Calculator commands.") | |
730576f3 | 761 | |
6c8e7554 JB |
762 | (defcalcmodevar calc-auto-why 'maybe |
763 | "If non-nil, automatically execute a \"why\" command to explain odd results.") | |
730576f3 | 764 | |
6c8e7554 JB |
765 | (defcalcmodevar calc-timing nil |
766 | "If non-nil, display timing information on each slow command.") | |
730576f3 | 767 | |
6c8e7554 | 768 | (defcalcmodevar calc-mode-save-mode 'local) |
730576f3 | 769 | |
6c8e7554 JB |
770 | (defcalcmodevar calc-standard-date-formats |
771 | '("N" | |
cde090ee JB |
772 | "<H:mm:SSpp >Www Mmm D, YYYY" |
773 | "D Mmm YYYY<, h:mm:SS>" | |
774 | "Www Mmm BD< hh:mm:ss> YYYY" | |
775 | "M/D/Y< H:mm:SSpp>" | |
776 | "D.M.Y< h:mm:SS>" | |
777 | "M-D-Y< H:mm:SSpp>" | |
778 | "D-M-Y< h:mm:SS>" | |
779 | "j<, h:mm:SS>" | |
780 | "YYddd< hh:mm:ss>")) | |
730576f3 | 781 | |
01633b01 JB |
782 | (defcalcmodevar calc-autorange-units nil |
783 | "If non-nil, automatically set unit prefixes to keep units in a reasonable range.") | |
2a78421d | 784 | |
7a2c03a8 JB |
785 | (defcalcmodevar calc-was-keypad-mode nil |
786 | "Non-nil if Calc was last invoked in keypad mode.") | |
2a78421d | 787 | |
7a2c03a8 JB |
788 | (defcalcmodevar calc-full-mode nil |
789 | "Non-nil if Calc was last invoked in full-screen mode.") | |
730576f3 | 790 | |
7a2c03a8 JB |
791 | (defcalcmodevar calc-user-parse-tables nil |
792 | "Alist of languages with user-defined parse rules.") | |
730576f3 | 793 | |
7a2c03a8 JB |
794 | (defcalcmodevar calc-gnuplot-default-device "default" |
795 | "The default device name for GNUPLOT plotting.") | |
730576f3 | 796 | |
7a2c03a8 JB |
797 | (defcalcmodevar calc-gnuplot-default-output "STDOUT" |
798 | "The default output file for GNUPLOT plotting.") | |
7b2cda38 | 799 | |
7a2c03a8 JB |
800 | (defcalcmodevar calc-gnuplot-print-device "postscript" |
801 | "The default device name for GNUPLOT printing.") | |
2a78421d | 802 | |
7a2c03a8 JB |
803 | (defcalcmodevar calc-gnuplot-print-output "auto" |
804 | "The default output for GNUPLOT printing.") | |
7b2cda38 | 805 | |
7a2c03a8 JB |
806 | (defcalcmodevar calc-gnuplot-geometry nil |
807 | "The default geometry for the GNUPLOT window.") | |
7b2cda38 | 808 | |
7a2c03a8 JB |
809 | (defcalcmodevar calc-graph-default-resolution 15 |
810 | "The default number of data points when plotting curves.") | |
730576f3 | 811 | |
7a2c03a8 JB |
812 | (defcalcmodevar calc-graph-default-resolution-3d 5 |
813 | "The default number of x- and y- data points when plotting surfaces.") | |
2a78421d | 814 | |
7a2c03a8 JB |
815 | (defcalcmodevar calc-invocation-macro nil |
816 | "A user defined macro for starting Calc. | |
817 | Used by `calc-user-invocation'.") | |
6c8e7554 JB |
818 | |
819 | (defcalcmodevar calc-show-banner t | |
fb7ada5f | 820 | "If non-nil, show a friendly greeting above the stack.") |
136211a9 EZ |
821 | |
822 | (defconst calc-local-var-list '(calc-stack | |
823 | calc-stack-top | |
824 | calc-undo-list | |
825 | calc-redo-list | |
826 | calc-always-load-extensions | |
827 | calc-mode-save-mode | |
828 | calc-display-raw | |
829 | calc-line-numbering | |
830 | calc-line-breaking | |
831 | calc-display-just | |
832 | calc-display-origin | |
833 | calc-left-label | |
834 | calc-right-label | |
835 | calc-auto-why | |
836 | calc-algebraic-mode | |
837 | calc-incomplete-algebraic-mode | |
838 | calc-symbolic-mode | |
839 | calc-matrix-mode | |
840 | calc-inverse-flag | |
841 | calc-hyperbolic-flag | |
d8b01fef | 842 | calc-option-flag |
136211a9 EZ |
843 | calc-keep-args-flag |
844 | calc-angle-mode | |
845 | calc-number-radix | |
846 | calc-leading-zeros | |
847 | calc-group-digits | |
848 | calc-group-char | |
849 | calc-point-char | |
850 | calc-frac-format | |
851 | calc-prefer-frac | |
852 | calc-hms-format | |
853 | calc-date-format | |
854 | calc-standard-date-formats | |
855 | calc-float-format | |
856 | calc-full-float-format | |
857 | calc-complex-format | |
858 | calc-matrix-just | |
859 | calc-full-vectors | |
860 | calc-full-trail-vectors | |
861 | calc-break-vectors | |
862 | calc-vector-commas | |
863 | calc-vector-brackets | |
864 | calc-matrix-brackets | |
865 | calc-complex-mode | |
866 | calc-infinite-mode | |
867 | calc-display-strings | |
868 | calc-simplify-mode | |
869 | calc-auto-recompute | |
870 | calc-autorange-units | |
871 | calc-show-plain | |
872 | calc-show-selections | |
873 | calc-use-selections | |
874 | calc-assoc-selections | |
875 | calc-word-size | |
876 | calc-internal-prec)) | |
877 | ||
f55320b5 JB |
878 | (defvar calc-mode-hook nil |
879 | "Hook run when entering calc-mode.") | |
880 | ||
881 | (defvar calc-trail-mode-hook nil | |
882 | "Hook run when entering calc-trail-mode.") | |
883 | ||
884 | (defvar calc-start-hook nil | |
885 | "Hook run when calc is started.") | |
886 | ||
887 | (defvar calc-end-hook nil | |
888 | "Hook run when calc is quit.") | |
889 | ||
890 | (defvar calc-load-hook nil | |
891 | "Hook run when calc.el is loaded.") | |
136211a9 | 892 | |
ed65ed86 JB |
893 | (defvar calc-window-hook nil |
894 | "Hook called to create the Calc window.") | |
895 | ||
896 | (defvar calc-trail-window-hook nil | |
897 | "Hook called to create the Calc trail window.") | |
898 | ||
b2d2748d JB |
899 | (defvar calc-embedded-new-buffer-hook nil |
900 | "Hook run when starting embedded mode in a new buffer.") | |
901 | ||
902 | (defvar calc-embedded-new-formula-hook nil | |
903 | "Hook run when starting embedded mode in a new formula.") | |
904 | ||
905 | (defvar calc-embedded-mode-hook nil | |
906 | "Hook run when starting embedded mode.") | |
907 | ||
730576f3 CW |
908 | ;; Set up the autoloading linkage. |
909 | (let ((name (and (fboundp 'calc-dispatch) | |
2378f044 SM |
910 | (eq (car-safe (symbol-function 'calc-dispatch)) 'autoload) |
911 | (nth 1 (symbol-function 'calc-dispatch)))) | |
912 | (p load-path)) | |
913 | ||
914 | ;; If Calc files exist on the load-path, we're all set. | |
915 | (while (and p (not (file-exists-p | |
916 | (expand-file-name "calc-misc.elc" (car p))))) | |
917 | (setq p (cdr p))) | |
918 | (or p | |
919 | ||
920 | ;; If Calc is autoloaded using a path name, look there for Calc files. | |
921 | ;; This works for both relative ("calc/calc.elc") and absolute paths. | |
922 | (and name (file-name-directory name) | |
923 | (let ((p2 load-path) | |
924 | (name2 (concat (file-name-directory name) | |
925 | "calc-misc.elc"))) | |
926 | (while (and p2 (not (file-exists-p | |
927 | (expand-file-name name2 (car p2))))) | |
928 | (setq p2 (cdr p2))) | |
929 | (when p2 | |
930 | (setq load-path (nconc load-path | |
931 | (list | |
932 | (directory-file-name | |
933 | (file-name-directory | |
934 | (expand-file-name | |
935 | name (car p2)))))))))))) | |
136211a9 | 936 | |
730576f3 CW |
937 | ;; The following modes use specially-formatted data. |
938 | (put 'calc-mode 'mode-class 'special) | |
939 | (put 'calc-trail-mode 'mode-class 'special) | |
a1506d29 | 940 | |
730576f3 CW |
941 | ;; Define "inexact-result" as an e-lisp error symbol. |
942 | (put 'inexact-result 'error-conditions '(error inexact-result calc-error)) | |
943 | (put 'inexact-result 'error-message "Calc internal error (inexact-result)") | |
a1506d29 | 944 | |
730576f3 CW |
945 | ;; Define "math-overflow" and "math-underflow" as e-lisp error symbols. |
946 | (put 'math-overflow 'error-conditions '(error math-overflow calc-error)) | |
947 | (put 'math-overflow 'error-message "Floating-point overflow occurred") | |
948 | (put 'math-underflow 'error-conditions '(error math-underflow calc-error)) | |
949 | (put 'math-underflow 'error-message "Floating-point underflow occurred") | |
a1506d29 | 950 | |
7a2c03a8 JB |
951 | (defvar calc-trail-pointer nil |
952 | "The \"current\" entry in trail buffer.") | |
953 | (defvar calc-trail-overlay nil | |
954 | "The value of overlay-arrow-string.") | |
955 | (defvar calc-undo-list nil | |
956 | "The list of previous operations for undo.") | |
957 | (defvar calc-redo-list nil | |
958 | "The list of recent undo operations.") | |
959 | (defvar calc-main-buffer nil | |
960 | "A pointer to Calculator buffer.") | |
4880bb30 JB |
961 | (defvar calc-buffer-list nil |
962 | "A list of all Calc buffers.") | |
7a2c03a8 JB |
963 | (defvar calc-trail-buffer nil |
964 | "A pointer to Calc Trail buffer.") | |
965 | (defvar calc-why nil | |
966 | "Explanations of most recent errors.") | |
730576f3 | 967 | (defvar calc-next-why nil) |
7b2cda38 JB |
968 | (defvar calc-inverse-flag nil |
969 | "If non-nil, next operation is Inverse.") | |
970 | (defvar calc-hyperbolic-flag nil | |
971 | "If non-nil, next operation is Hyperbolic.") | |
d8b01fef JB |
972 | (defvar calc-option-flag nil |
973 | "If non-nil, next operation has Optional behavior.") | |
7b2cda38 JB |
974 | (defvar calc-keep-args-flag nil |
975 | "If non-nil, next operation should not remove its arguments from stack.") | |
976 | (defvar calc-function-open "(" | |
977 | "Open-parenthesis string for function call notation.") | |
978 | (defvar calc-function-close ")" | |
979 | "Close-parenthesis string for function call notation.") | |
980 | (defvar calc-language-output-filter nil | |
981 | "Function through which to pass strings after formatting.") | |
982 | (defvar calc-language-input-filter nil | |
983 | "Function through which to pass strings before parsing.") | |
984 | (defvar calc-radix-formatter nil | |
985 | "Formatting function used for non-decimal numbers.") | |
f479e32a JB |
986 | (defvar calc-lang-slash-idiv nil |
987 | "A list of languages in which / might represent integer division.") | |
988 | (defvar calc-lang-allow-underscores nil | |
989 | "A list of languages which allow underscores in variable names.") | |
7707eaa6 JB |
990 | (defvar calc-lang-allow-percentsigns nil |
991 | "A list of languages which allow percent signs in variable names.") | |
f479e32a JB |
992 | (defvar calc-lang-c-type-hex nil |
993 | "Languages in which octal and hex numbers are written with leading 0 and 0x,") | |
994 | (defvar calc-lang-brackets-are-subscripts nil | |
995 | "Languages in which subscripts are indicated by brackets.") | |
996 | (defvar calc-lang-parens-are-subscripts nil | |
997 | "Languages in which subscripts are indicated by parentheses.") | |
7b2cda38 | 998 | |
7a2c03a8 JB |
999 | (defvar calc-last-kill nil |
1000 | "The last number killed in calc-mode.") | |
1001 | (defvar calc-dollar-values nil | |
1002 | "Values to be used for '$'.") | |
1003 | (defvar calc-dollar-used nil | |
1004 | "The highest order of '$' that occurred.") | |
1005 | (defvar calc-hashes-used nil | |
1006 | "The highest order of '#' that occurred.") | |
1007 | (defvar calc-quick-prev-results nil | |
1008 | "Previous results from Quick Calc.") | |
1009 | (defvar calc-said-hello nil | |
ee7683eb | 1010 | "Non-nil if the welcome message has been displayed.") |
7a2c03a8 JB |
1011 | (defvar calc-executing-macro nil |
1012 | "Non-nil if a keyboard macro is executing from the \"K\" key.") | |
1013 | (defvar calc-any-selections nil | |
1014 | "Non-nil if there are selections present.") | |
1015 | (defvar calc-help-phase 0 | |
1016 | "The number of consecutive \"?\" keystrokes.") | |
1017 | (defvar calc-full-help-flag nil | |
1018 | "Non-nil if `calc-full-help' is being executed.") | |
1019 | (defvar calc-refresh-count 0 | |
1020 | "The number of `calc-refresh' calls.") | |
1021 | (defvar calc-display-dirty nil | |
1022 | "Non-nil if the stack display might not reflect the latest mode settings.") | |
730576f3 CW |
1023 | (defvar calc-prepared-composition nil) |
1024 | (defvar calc-selection-cache-default-entry nil) | |
7a2c03a8 JB |
1025 | (defvar calc-embedded-info nil |
1026 | "If non-nil, a vector consisting of information for embedded mode.") | |
1027 | (defvar calc-embedded-active nil | |
1028 | "Alist of buffers with sorted lists of calc-embedded-infos.") | |
1029 | (defvar calc-standalone-flag nil | |
1030 | "Non-nil if Emacs started with standalone Calc.") | |
1031 | (defvar var-EvalRules nil | |
1032 | "User defined rules that Calc will apply automatically.") | |
730576f3 CW |
1033 | (defvar math-eval-rules-cache-tag t) |
1034 | (defvar math-radix-explicit-format t) | |
7a2c03a8 JB |
1035 | (defvar math-expr-function-mapping nil |
1036 | "Alist of language specific functions with Calc functions.") | |
1037 | (defvar math-expr-variable-mapping nil | |
1038 | "Alist of language specific variables with Calc variables.") | |
730576f3 CW |
1039 | (defvar math-read-expr-quotes nil) |
1040 | (defvar math-working-step nil) | |
1041 | (defvar math-working-step-2 nil) | |
1042 | (defvar var-i '(special-const (math-imaginary 1))) | |
1043 | (defvar var-pi '(special-const (math-pi))) | |
ae6bc504 | 1044 | (defvar var-Ï€ '(special-const (math-pi))) |
730576f3 CW |
1045 | (defvar var-e '(special-const (math-e))) |
1046 | (defvar var-phi '(special-const (math-phi))) | |
ae6bc504 | 1047 | (defvar var-φ '(special-const (math-phi))) |
730576f3 | 1048 | (defvar var-gamma '(special-const (math-gamma-const))) |
ae6bc504 | 1049 | (defvar var-γ '(special-const (math-gamma-const))) |
730576f3 CW |
1050 | (defvar var-Modes '(special-const (math-get-modes-vec))) |
1051 | ||
2a78421d JB |
1052 | (mapc (lambda (v) (or (boundp v) (set v nil))) |
1053 | calc-local-var-list) | |
136211a9 | 1054 | |
2378f044 SM |
1055 | (defvar calc-mode-map |
1056 | (let ((map (make-keymap))) | |
1057 | (suppress-keymap map t) | |
1058 | (define-key map "+" 'calc-plus) | |
1059 | (define-key map "-" 'calc-minus) | |
1060 | (define-key map "*" 'calc-times) | |
1061 | (define-key map "/" 'calc-divide) | |
1062 | (define-key map "%" 'calc-mod) | |
1063 | (define-key map "&" 'calc-inv) | |
1064 | (define-key map "^" 'calc-power) | |
1065 | (define-key map "\M-%" 'calc-percent) | |
1066 | (define-key map "e" 'calcDigit-start) | |
1067 | (define-key map "i" 'calc-info) | |
1068 | (define-key map "n" 'calc-change-sign) | |
1069 | (define-key map "q" 'calc-quit) | |
1070 | (define-key map "Y" 'nil) | |
1071 | (define-key map "Y?" 'calc-shift-Y-prefix-help) | |
1072 | (define-key map "?" 'calc-help) | |
1073 | (define-key map " " 'calc-enter) | |
1074 | (define-key map "'" 'calc-algebraic-entry) | |
1075 | (define-key map "$" 'calc-auto-algebraic-entry) | |
1076 | (define-key map "\"" 'calc-auto-algebraic-entry) | |
1077 | (define-key map "\t" 'calc-roll-down) | |
1078 | (define-key map "\M-\t" 'calc-roll-up) | |
9ca10228 | 1079 | (define-key map "\C-x\C-t" 'calc-transpose-lines) |
2378f044 SM |
1080 | (define-key map "\C-m" 'calc-enter) |
1081 | (define-key map "\M-\C-m" 'calc-last-args-stub) | |
1082 | (define-key map "\C-j" 'calc-over) | |
1083 | (define-key map "\C-y" 'calc-yank) | |
1084 | (define-key map [mouse-2] 'calc-yank) | |
c310ff4f | 1085 | (define-key map [remap undo] 'calc-undo) |
8d676b63 | 1086 | |
2378f044 SM |
1087 | (mapc (lambda (x) (define-key map (char-to-string x) 'undefined)) |
1088 | "lOW") | |
1089 | (mapc (lambda (x) (define-key map (char-to-string x) 'calc-missing-key)) | |
a0d33975 | 1090 | (concat "ABCDEFGHIJKLMNOPQRSTUVXZabcdfghjkmoprstuvwxyz" |
9d5aa01d | 1091 | ":\\|!()[]<>{},;=~`\C-k\C-w")) |
7163bf2c JB |
1092 | (define-key map "\M-w" 'calc-missing-key) |
1093 | (define-key map "\M-k" 'calc-missing-key) | |
1094 | (define-key map "\M-\C-w" 'calc-missing-key) | |
2378f044 SM |
1095 | (mapc (lambda (x) (define-key map (char-to-string x) 'calcDigit-start)) |
1096 | "_0123456789.#@") | |
1097 | map) | |
7a2c03a8 JB |
1098 | "The key map for Calc.") |
1099 | ||
2378f044 SM |
1100 | (defvar calc-digit-map |
1101 | (let ((map (make-keymap))) | |
5cb16bfc SM |
1102 | (map-keymap (lambda (key bind) |
1103 | (define-key map (vector key) | |
1104 | (if (eq bind 'undefined) | |
1105 | 'undefined 'calcDigit-nondigit))) | |
1106 | calc-mode-map) | |
2378f044 SM |
1107 | (mapc (lambda (x) (define-key map (char-to-string x) 'calcDigit-key)) |
1108 | "_0123456789.e+-:n#@oh'\"mspM") | |
1109 | (mapc (lambda (x) (define-key map (char-to-string x) 'calcDigit-letter)) | |
1110 | "abcdfgijklqrtuvwxyzABCDEFGHIJKLNOPQRSTUVWXYZ") | |
1111 | (define-key map "'" 'calcDigit-algebraic) | |
1112 | (define-key map "`" 'calcDigit-edit) | |
1113 | (define-key map "\C-g" 'abort-recursive-edit) | |
1114 | map) | |
1115 | "The key map for entering Calc digits.") | |
136211a9 | 1116 | |
2a78421d JB |
1117 | (mapc (lambda (x) |
1118 | (condition-case err | |
1119 | (progn | |
1120 | (define-key calc-digit-map x 'calcDigit-backspace) | |
1121 | (define-key calc-mode-map x 'calc-pop) | |
1122 | (define-key calc-mode-map | |
5cb16bfc SM |
1123 | (if (and (vectorp x) (featurep 'xemacs)) |
1124 | (if (= (length x) 1) | |
1125 | (vector (if (consp (aref x 0)) | |
1126 | (cons 'meta (aref x 0)) | |
1127 | (list 'meta (aref x 0)))) | |
1128 | "\e\C-d") | |
1129 | (vconcat "\e" x)) | |
2a78421d JB |
1130 | 'calc-pop-above)) |
1131 | (error nil))) | |
1132 | (if calc-scan-for-dels | |
1133 | (append (where-is-internal 'delete-backward-char global-map) | |
1134 | (where-is-internal 'backward-delete-char global-map) | |
84b4b70d | 1135 | (where-is-internal 'backward-delete-char-untabify global-map) |
2a78421d JB |
1136 | '("\C-d")) |
1137 | '("\177" "\C-d"))) | |
136211a9 | 1138 | |
2378f044 SM |
1139 | (defvar calc-dispatch-map |
1140 | (let ((map (make-keymap))) | |
1141 | (mapc (lambda (x) | |
8d676b63 MR |
1142 | (let* ((x-chr (car x)) |
1143 | (x-str (char-to-string x-chr)) | |
1144 | (x-def (cdr x))) | |
1145 | (define-key map x-str x-def) | |
1146 | (when (string-match "[a-z]" x-str) | |
1147 | ;; Map upper case char to same definition. | |
1148 | (define-key map (upcase x-str) x-def) | |
1149 | (unless (string-match "[gmv]" x-str) | |
1150 | ;; Map control prefixed char to same definition. | |
1151 | (define-key map (vector (list 'control x-chr)) x-def))) | |
1152 | (define-key map (format "\e%c" x-chr) x-def))) | |
2378f044 SM |
1153 | '( ( ?a . calc-embedded-activate ) |
1154 | ( ?b . calc-big-or-small ) | |
1155 | ( ?c . calc ) | |
1156 | ( ?d . calc-embedded-duplicate ) | |
1157 | ( ?e . calc-embedded ) | |
1158 | ( ?f . calc-embedded-new-formula ) | |
1159 | ( ?g . calc-grab-region ) | |
1160 | ( ?h . calc-dispatch-help ) | |
1161 | ( ?i . calc-info ) | |
1162 | ( ?j . calc-embedded-select ) | |
1163 | ( ?k . calc-keypad ) | |
1164 | ( ?l . calc-load-everything ) | |
1165 | ( ?m . read-kbd-macro ) | |
1166 | ( ?n . calc-embedded-next ) | |
1167 | ( ?o . calc-other-window ) | |
1168 | ( ?p . calc-embedded-previous ) | |
1169 | ( ?q . quick-calc ) | |
1170 | ( ?r . calc-grab-rectangle ) | |
1171 | ( ?s . calc-info-summary ) | |
1172 | ( ?t . calc-tutorial ) | |
1173 | ( ?u . calc-embedded-update-formula ) | |
1174 | ( ?w . calc-embedded-word ) | |
1175 | ( ?x . calc-quit ) | |
1176 | ( ?y . calc-copy-to-buffer ) | |
1177 | ( ?z . calc-user-invocation ) | |
1178 | ( ?\' . calc-embedded-new-formula ) | |
1179 | ( ?\` . calc-embedded-edit ) | |
1180 | ( ?: . calc-grab-sum-down ) | |
1181 | ( ?_ . calc-grab-sum-across ) | |
1182 | ( ?0 . calc-reset ) | |
1183 | ( ?? . calc-dispatch-help ) | |
1184 | ( ?# . calc-same-interface ) | |
1185 | ( ?& . calc-same-interface ) | |
1186 | ( ?\\ . calc-same-interface ) | |
1187 | ( ?= . calc-same-interface ) | |
1188 | ( ?* . calc-same-interface ) | |
1189 | ( ?/ . calc-same-interface ) | |
1190 | ( ?+ . calc-same-interface ) | |
1191 | ( ?- . calc-same-interface ) )) | |
1192 | map) | |
7a2c03a8 JB |
1193 | "The key map for starting Calc.") |
1194 | ||
136211a9 | 1195 | |
136211a9 | 1196 | ;;;; (Autoloads here) |
2378f044 | 1197 | (load "calc-loaddefs.el" nil t) |
136211a9 | 1198 | |
d24f83d4 | 1199 | ;;;###autoload (define-key ctl-x-map "*" 'calc-dispatch) |
136211a9 EZ |
1200 | |
1201 | ;;;###autoload | |
1202 | (defun calc-dispatch (&optional arg) | |
f269b73e | 1203 | "Invoke the GNU Emacs Calculator. See `calc-dispatch-help' for details." |
136211a9 | 1204 | (interactive "P") |
99992264 | 1205 | ; (sit-for echo-keystrokes) |
136211a9 EZ |
1206 | (condition-case err ; look for other keys bound to calc-dispatch |
1207 | (let ((keys (this-command-keys))) | |
cd012309 CW |
1208 | (unless (or (not (stringp keys)) |
1209 | (string-match "\\`\C-u\\|\\`\e[-0-9#]\\|`[\M--\M-0-\M-9]" keys) | |
1210 | (eq (lookup-key calc-dispatch-map keys) 'calc-same-interface)) | |
1211 | (when (and (string-match "\\`[\C-@-\C-_]" keys) | |
1212 | (symbolp | |
1213 | (lookup-key calc-dispatch-map (substring keys 0 1)))) | |
1214 | (define-key calc-dispatch-map (substring keys 0 1) nil)) | |
1215 | (define-key calc-dispatch-map keys 'calc-same-interface))) | |
136211a9 | 1216 | (error nil)) |
bf77c646 | 1217 | (calc-do-dispatch arg)) |
136211a9 | 1218 | |
f269b73e | 1219 | (defvar calc-dispatch-help nil) |
136211a9 | 1220 | (defun calc-do-dispatch (arg) |
7a2c03a8 | 1221 | "Start the Calculator." |
136211a9 EZ |
1222 | (let ((key (calc-read-key-sequence |
1223 | (if calc-dispatch-help | |
1224 | "Calc options: Calc, Keypad, Quick, Embed; eXit; Info, Tutorial; Grab; ?=more" | |
1225 | (format "%s (Type ? for a list of Calc options)" | |
1226 | (key-description (this-command-keys)))) | |
1227 | calc-dispatch-map))) | |
1228 | (setq key (lookup-key calc-dispatch-map key)) | |
1229 | (message "") | |
1230 | (if key | |
1231 | (progn | |
ce805efa | 1232 | (or (commandp key) (require 'calc-ext)) |
136211a9 | 1233 | (call-interactively key)) |
bf77c646 | 1234 | (beep)))) |
136211a9 EZ |
1235 | |
1236 | (defun calc-read-key-sequence (prompt map) | |
7a2c03a8 | 1237 | "Read keys, with prompt PROMPT and keymap MAP." |
136211a9 EZ |
1238 | (let ((prompt2 (format "%s " (key-description (this-command-keys)))) |
1239 | (glob (current-global-map)) | |
1240 | (loc (current-local-map))) | |
274f1353 | 1241 | (or (input-pending-p) (message "%s" prompt)) |
f2a0aa3a JL |
1242 | (let ((key (calc-read-key t)) |
1243 | (input-method-function nil)) | |
136211a9 EZ |
1244 | (calc-unread-command (cdr key)) |
1245 | (unwind-protect | |
1246 | (progn | |
1247 | (use-global-map map) | |
1248 | (use-local-map nil) | |
7e1637c2 | 1249 | (read-key-sequence nil)) |
136211a9 | 1250 | (use-global-map glob) |
bf77c646 | 1251 | (use-local-map loc))))) |
136211a9 | 1252 | |
f5a3eb30 | 1253 | (defvar calc-alg-map) ; Defined in calc-ext.el |
136211a9 | 1254 | |
4880bb30 JB |
1255 | |
1256 | (defvar calc-embedded-modes) ; Defined in calc-embed.el | |
1257 | (defvar calc-override-minor-modes) ; Defined in calc-embed.el | |
1258 | (defun calc-kill-stack-buffer () | |
1259 | "Check to see if user wants to kill the Calc stack buffer. | |
1260 | This will look for buffers using the Calc buffer for embedded mode, | |
1261 | and inform the user if there are any. | |
1262 | If the user wants to kill the Calc buffer, this will remove | |
1263 | embedded information from the appropriate buffers and tidy up | |
1264 | the trail buffer." | |
1265 | (let ((cb (current-buffer)) | |
1266 | (info-list nil) | |
1267 | (buflist) | |
1268 | ; (plural nil) | |
1269 | (cea calc-embedded-active)) | |
1270 | ;; Get a list of all buffers using this buffer for | |
1271 | ;; embedded Calc. | |
1272 | (while cea | |
1273 | (when (and (eq cb (aref (nth 1 (car cea)) 1)) | |
1274 | (buffer-name (car (car cea)))) | |
1275 | (setq info-list (cons (car cea) info-list))) | |
1276 | (setq cea (cdr cea))) | |
1277 | ;; Eventually, prompt user with a list of buffers using embedded mode. | |
1278 | (when (and | |
1279 | info-list | |
be19ef0b | 1280 | (yes-or-no-p |
4880bb30 JB |
1281 | (concat "This Calc stack is being used for embedded mode. Kill anyway?"))) |
1282 | (while info-list | |
1283 | (with-current-buffer (car (car info-list)) | |
1284 | (when calc-embedded-info | |
1285 | (setq calc-embedded-info nil | |
1286 | mode-line-buffer-identification (car calc-embedded-modes) | |
1287 | truncate-lines (nth 2 calc-embedded-modes) | |
1288 | buffer-read-only nil) | |
1289 | (use-local-map (nth 1 calc-embedded-modes)) | |
1290 | (setq minor-mode-overriding-map-alist | |
1291 | (remq calc-override-minor-modes minor-mode-overriding-map-alist)) | |
1292 | (let ((str mode-line-buffer-identification)) | |
1293 | (setq mode-line-buffer-identification str)) | |
1294 | (set-buffer-modified-p (buffer-modified-p)))) | |
1295 | (setq calc-embedded-active | |
1296 | (delete (car info-list) calc-embedded-active)) | |
1297 | (setq info-list (cdr info-list)))) | |
1298 | (if (not info-list) | |
1299 | (progn | |
1300 | (setq calc-buffer-list (delete cb calc-buffer-list)) | |
a1c2400f JB |
1301 | (if (buffer-live-p calc-trail-buffer) |
1302 | (with-current-buffer calc-trail-buffer | |
1303 | (if (eq cb calc-main-buffer) | |
1304 | ;; If there are other Calc stacks, make another one | |
1305 | ;; the calc-main-buffer ... | |
1306 | (if calc-buffer-list | |
1307 | (setq calc-main-buffer (car calc-buffer-list)) | |
1308 | ;; ... otherwise kill the trail and its windows. | |
1309 | (let ((wl (get-buffer-window-list calc-trail-buffer))) | |
1310 | (while wl | |
1311 | (delete-window (car wl)) | |
1312 | (setq wl (cdr wl)))) | |
1313 | (kill-buffer calc-trail-buffer))))) | |
1314 | (setq calc-trail-buffer nil) | |
4880bb30 JB |
1315 | t)))) |
1316 | ||
136211a9 EZ |
1317 | (defun calc-mode () |
1318 | "Calculator major mode. | |
1319 | ||
1320 | This is an RPN calculator featuring arbitrary-precision integer, rational, | |
1321 | floating-point, complex, matrix, and symbolic arithmetic. | |
1322 | ||
1323 | RPN calculation: 2 RET 3 + produces 5. | |
1324 | Algebraic style: ' 2+3 RET produces 5. | |
1325 | ||
1326 | Basic operators are +, -, *, /, ^, & (reciprocal), % (modulo), n (change-sign). | |
1327 | ||
1328 | Press ? repeatedly for more complete help. Press `h i' to read the | |
1329 | Calc manual on-line, `h s' to read the summary, or `h t' for the tutorial. | |
1330 | ||
1331 | Notations: 3.14e6 3.14 * 10^6 | |
1332 | _23 negative number -23 (or type `23 n') | |
1333 | 17:3 the fraction 17/3 | |
1334 | 5:2:3 the fraction 5 and 2/3 | |
1335 | 16#12C the integer 12C base 16 = 300 base 10 | |
1336 | 8#177:100 the fraction 177:100 base 8 = 127:64 base 10 | |
1337 | (2, 4) complex number 2 + 4i | |
1338 | (2; 4) polar complex number (r; theta) | |
1339 | [1, 2, 3] vector ([[1, 2], [3, 4]] is a matrix) | |
1340 | [1 .. 4) semi-open interval, 1 <= x < 4 | |
1341 | 2 +/- 3 (p key) number with mean 2, standard deviation 3 | |
1342 | 2 mod 3 (M key) number 2 computed modulo 3 | |
1343 | <1 jan 91> Date form (enter using ' key) | |
1344 | ||
1345 | ||
1346 | \\{calc-mode-map} | |
1347 | " | |
1348 | (interactive) | |
2a78421d JB |
1349 | (mapc (function |
1350 | (lambda (v) (set-default v (symbol-value v)))) calc-local-var-list) | |
136211a9 EZ |
1351 | (kill-all-local-variables) |
1352 | (use-local-map (if (eq calc-algebraic-mode 'total) | |
ce805efa | 1353 | (progn (require 'calc-ext) calc-alg-map) calc-mode-map)) |
2a78421d | 1354 | (mapc (function (lambda (v) (make-local-variable v))) calc-local-var-list) |
136211a9 EZ |
1355 | (make-local-variable 'overlay-arrow-position) |
1356 | (make-local-variable 'overlay-arrow-string) | |
558f9ba1 | 1357 | (add-hook 'change-major-mode-hook 'font-lock-defontify nil t) |
4880bb30 JB |
1358 | (add-hook 'kill-buffer-query-functions |
1359 | 'calc-kill-stack-buffer | |
1360 | t t) | |
136211a9 EZ |
1361 | (setq truncate-lines t) |
1362 | (setq buffer-read-only t) | |
1363 | (setq major-mode 'calc-mode) | |
1364 | (setq mode-name "Calculator") | |
1365 | (setq calc-stack-top (length (or (memq (assq 'top-of-stack calc-stack) | |
1366 | calc-stack) | |
1367 | (setq calc-stack (list (list 'top-of-stack | |
1368 | 1 nil)))))) | |
1369 | (setq calc-stack-top (- (length calc-stack) calc-stack-top -1)) | |
1370 | (or calc-loaded-settings-file | |
f269b73e | 1371 | (null calc-settings-file) |
a8aee43b | 1372 | (equal calc-settings-file user-init-file) |
136211a9 EZ |
1373 | (progn |
1374 | (setq calc-loaded-settings-file t) | |
6bbfeec5 | 1375 | (load (file-name-sans-extension calc-settings-file) t))) ; t = missing-ok |
136211a9 EZ |
1376 | (let ((p command-line-args)) |
1377 | (while p | |
1378 | (and (equal (car p) "-f") | |
1379 | (string-match "calc" (nth 1 p)) | |
1380 | (string-match "full" (nth 1 p)) | |
1381 | (setq calc-standalone-flag t)) | |
1382 | (setq p (cdr p)))) | |
ebbdfa24 | 1383 | (require 'calc-menu) |
d74fa98c | 1384 | (run-mode-hooks 'calc-mode-hook) |
136211a9 EZ |
1385 | (calc-refresh t) |
1386 | (calc-set-mode-line) | |
4880bb30 | 1387 | (calc-check-defines) |
7048562d | 1388 | (if calc-buffer-list (setq calc-stack (copy-sequence calc-stack))) |
4880bb30 | 1389 | (add-to-list 'calc-buffer-list (current-buffer) t)) |
136211a9 | 1390 | |
f269b73e | 1391 | (defvar calc-check-defines 'calc-check-defines) ; suitable for run-hooks |
136211a9 EZ |
1392 | (defun calc-check-defines () |
1393 | (if (symbol-plist 'calc-define) | |
1394 | (let ((plist (copy-sequence (symbol-plist 'calc-define)))) | |
1395 | (while (and plist (null (nth 1 plist))) | |
1396 | (setq plist (cdr (cdr plist)))) | |
1397 | (if plist | |
1398 | (save-excursion | |
ce805efa JB |
1399 | (require 'calc-ext) |
1400 | (require 'calc-macs) | |
136211a9 EZ |
1401 | (set-buffer "*Calculator*") |
1402 | (while plist | |
1403 | (put 'calc-define (car plist) nil) | |
1404 | (eval (nth 1 plist)) | |
1405 | (setq plist (cdr (cdr plist)))) | |
1406 | ;; See if this has added any more calc-define properties. | |
1407 | (calc-check-defines)) | |
bf77c646 | 1408 | (setplist 'calc-define nil))))) |
136211a9 EZ |
1409 | |
1410 | (defun calc-trail-mode (&optional buf) | |
1411 | "Calc Trail mode. | |
1412 | This mode is used by the *Calc Trail* buffer, which records all results | |
1413 | obtained by the GNU Emacs Calculator. | |
1414 | ||
1415 | Calculator commands beginning with the `t' key are used to manipulate | |
1416 | the Trail. | |
1417 | ||
1418 | This buffer uses the same key map as the *Calculator* buffer; calculator | |
1419 | commands given here will actually operate on the *Calculator* stack." | |
1420 | (interactive) | |
1421 | (fundamental-mode) | |
1422 | (use-local-map calc-mode-map) | |
1423 | (setq major-mode 'calc-trail-mode) | |
1424 | (setq mode-name "Calc Trail") | |
1425 | (setq truncate-lines t) | |
1426 | (setq buffer-read-only t) | |
1427 | (make-local-variable 'overlay-arrow-position) | |
1428 | (make-local-variable 'overlay-arrow-string) | |
cd012309 CW |
1429 | (when buf |
1430 | (set (make-local-variable 'calc-main-buffer) buf)) | |
1431 | (when (= (buffer-size) 0) | |
1432 | (let ((buffer-read-only nil)) | |
2c695727 | 1433 | (insert (propertize "Emacs Calculator Trail\n" 'face 'italic)))) |
d74fa98c | 1434 | (run-mode-hooks 'calc-trail-mode-hook)) |
136211a9 EZ |
1435 | |
1436 | (defun calc-create-buffer () | |
7a2c03a8 | 1437 | "Create and initialize a buffer for the Calculator." |
136211a9 EZ |
1438 | (set-buffer (get-buffer-create "*Calculator*")) |
1439 | (or (eq major-mode 'calc-mode) | |
1440 | (calc-mode)) | |
1441 | (setq max-lisp-eval-depth (max max-lisp-eval-depth 1000)) | |
cd012309 | 1442 | (when calc-always-load-extensions |
ce805efa | 1443 | (require 'calc-ext)) |
cd012309 | 1444 | (when calc-language |
ce805efa | 1445 | (require 'calc-ext) |
cd012309 | 1446 | (calc-set-language calc-language calc-language-option t))) |
136211a9 EZ |
1447 | |
1448 | ;;;###autoload | |
1449 | (defun calc (&optional arg full-display interactive) | |
1450 | "The Emacs Calculator. Full documentation is listed under \"calc-mode\"." | |
577e1b74 | 1451 | (interactive "P\ni\np") |
136211a9 | 1452 | (if arg |
cd012309 | 1453 | (unless (eq arg 0) |
ce805efa | 1454 | (require 'calc-ext) |
cd012309 CW |
1455 | (if (= (prefix-numeric-value arg) -1) |
1456 | (calc-grab-region (region-beginning) (region-end) nil) | |
1457 | (when (= (prefix-numeric-value arg) -2) | |
1458 | (calc-keypad)))) | |
1459 | (when (get-buffer-window "*Calc Keypad*") | |
1460 | (calc-keypad) | |
1461 | (set-buffer (window-buffer (selected-window)))) | |
136211a9 EZ |
1462 | (if (eq major-mode 'calc-mode) |
1463 | (calc-quit) | |
1464 | (let ((oldbuf (current-buffer))) | |
1465 | (calc-create-buffer) | |
1466 | (setq calc-was-keypad-mode nil) | |
1467 | (if (or (eq full-display t) | |
1468 | (and (null full-display) calc-full-mode)) | |
1469 | (switch-to-buffer (current-buffer) t) | |
1470 | (if (get-buffer-window (current-buffer)) | |
1471 | (select-window (get-buffer-window (current-buffer))) | |
ed65ed86 JB |
1472 | (if calc-window-hook |
1473 | (run-hooks 'calc-window-hook) | |
1474 | (let ((w (get-largest-window))) | |
1475 | (if (and pop-up-windows | |
1476 | (> (window-height w) | |
1477 | (+ window-min-height calc-window-height 2))) | |
1478 | (progn | |
1479 | (setq w (split-window w | |
1480 | (- (window-height w) | |
1481 | calc-window-height 2) | |
1482 | nil)) | |
1483 | (set-window-buffer w (current-buffer)) | |
1484 | (select-window w)) | |
1485 | (pop-to-buffer (current-buffer))))))) | |
6df9b6d7 | 1486 | (with-current-buffer (calc-trail-buffer) |
136211a9 | 1487 | (and calc-display-trail |
31b85a14 | 1488 | (= (window-width) (frame-width)) |
136211a9 | 1489 | (calc-trail-display 1 t))) |
f269b73e | 1490 | (message "Welcome to the GNU Emacs Calculator! Press `?' or `h' for help, `q' to quit") |
136211a9 EZ |
1491 | (run-hooks 'calc-start-hook) |
1492 | (and (windowp full-display) | |
1493 | (window-point full-display) | |
1494 | (select-window full-display)) | |
1495 | (calc-check-defines) | |
577e1b74 | 1496 | (when (and calc-said-hello interactive) |
cd012309 CW |
1497 | (sit-for 2) |
1498 | (message "")) | |
bf77c646 | 1499 | (setq calc-said-hello t))))) |
136211a9 EZ |
1500 | |
1501 | ;;;###autoload | |
577e1b74 | 1502 | (defun full-calc (&optional interactive) |
136211a9 | 1503 | "Invoke the Calculator and give it a full-sized window." |
577e1b74 JB |
1504 | (interactive "p") |
1505 | (calc nil t interactive)) | |
136211a9 EZ |
1506 | |
1507 | (defun calc-same-interface (arg) | |
1508 | "Invoke the Calculator using the most recent interface (calc or calc-keypad)." | |
1509 | (interactive "P") | |
1510 | (if (and (equal (buffer-name) "*Gnuplot Trail*") | |
1511 | (> (recursion-depth) 0)) | |
1512 | (exit-recursive-edit) | |
1513 | (if (eq major-mode 'calc-edit-mode) | |
1514 | (calc-edit-finish arg) | |
c84eeafa JB |
1515 | (if calc-was-keypad-mode |
1516 | (calc-keypad) | |
1517 | (calc arg calc-full-mode t))))) | |
136211a9 | 1518 | |
577e1b74 | 1519 | (defun calc-quit (&optional non-fatal interactive) |
7a2c03a8 | 1520 | "Quit the Calculator in an appropriate manner." |
577e1b74 | 1521 | (interactive "i\np") |
136211a9 EZ |
1522 | (and calc-standalone-flag (not non-fatal) |
1523 | (save-buffers-kill-emacs nil)) | |
1524 | (if (and (equal (buffer-name) "*Gnuplot Trail*") | |
1525 | (> (recursion-depth) 0)) | |
1526 | (exit-recursive-edit)) | |
1527 | (if (eq major-mode 'calc-edit-mode) | |
1528 | (calc-edit-cancel) | |
c84eeafa JB |
1529 | (if (and interactive |
1530 | calc-embedded-info | |
1531 | (eq (current-buffer) (aref calc-embedded-info 0))) | |
1532 | (calc-embedded nil) | |
1533 | (unless (eq major-mode 'calc-mode) | |
1534 | (calc-create-buffer)) | |
1535 | (run-hooks 'calc-end-hook) | |
b159e5b0 JB |
1536 | (if (integerp calc-undo-length) |
1537 | (cond | |
1538 | ((= calc-undo-length 0) | |
1539 | (setq calc-undo-list nil calc-redo-list nil)) | |
1540 | ((> calc-undo-length 0) | |
1541 | (let ((tail (nthcdr (1- calc-undo-length) calc-undo-list))) | |
1542 | (if tail (setcdr tail nil))) | |
1543 | (setq calc-redo-list nil)))) | |
2a78421d JB |
1544 | (mapc (function (lambda (v) (set-default v (symbol-value v)))) |
1545 | calc-local-var-list) | |
c84eeafa JB |
1546 | (let ((buf (current-buffer)) |
1547 | (win (get-buffer-window (current-buffer))) | |
1548 | (kbuf (get-buffer "*Calc Keypad*"))) | |
1549 | (delete-windows-on (calc-trail-buffer)) | |
a2baa908 JB |
1550 | ;; The next few lines will set `calc-window-height' so that the |
1551 | ;; next time Calc is called, the window will be the same size | |
1552 | ;; as the current window. | |
c84eeafa | 1553 | (if (and win |
eaf9b564 | 1554 | (not (window-full-height-p win)) |
a2baa908 | 1555 | (window-full-width-p win) ; avoid calc-keypad |
c84eeafa JB |
1556 | (not (get-buffer-window "*Calc Keypad*"))) |
1557 | (setq calc-window-height (- (window-height win) 2))) | |
1558 | (progn | |
1559 | (delete-windows-on buf) | |
bc6922de | 1560 | (and kbuf (delete-windows-on kbuf))) |
c84eeafa JB |
1561 | (bury-buffer buf) |
1562 | (bury-buffer calc-trail-buffer) | |
1563 | (and kbuf (bury-buffer kbuf)))))) | |
136211a9 EZ |
1564 | |
1565 | ;;;###autoload | |
1566 | (defun quick-calc () | |
1567 | "Do a quick calculation in the minibuffer without invoking full Calculator." | |
1568 | (interactive) | |
bf77c646 | 1569 | (calc-do-quick-calc)) |
136211a9 EZ |
1570 | |
1571 | ;;;###autoload | |
1572 | (defun calc-eval (str &optional separator &rest args) | |
1573 | "Do a quick calculation and return the result as a string. | |
1574 | Return value will either be the formatted result in string form, | |
1575 | or a list containing a character position and an error message in string form." | |
bf77c646 | 1576 | (calc-do-calc-eval str separator args)) |
136211a9 EZ |
1577 | |
1578 | ;;;###autoload | |
577e1b74 | 1579 | (defun calc-keypad (&optional interactive) |
136211a9 EZ |
1580 | "Invoke the Calculator in \"visual keypad\" mode. |
1581 | This is most useful in the X window system. | |
1582 | In this mode, click on the Calc \"buttons\" using the left mouse button. | |
1583 | Or, position the cursor manually and do M-x calc-keypad-press." | |
577e1b74 | 1584 | (interactive "p") |
ce805efa | 1585 | (require 'calc-ext) |
577e1b74 | 1586 | (calc-do-keypad calc-full-mode interactive)) |
136211a9 EZ |
1587 | |
1588 | ;;;###autoload | |
577e1b74 | 1589 | (defun full-calc-keypad (&optional interactive) |
136211a9 EZ |
1590 | "Invoke the Calculator in full-screen \"visual keypad\" mode. |
1591 | See calc-keypad for details." | |
577e1b74 | 1592 | (interactive "p") |
ce805efa | 1593 | (require 'calc-ext) |
577e1b74 | 1594 | (calc-do-keypad t interactive)) |
136211a9 EZ |
1595 | |
1596 | ||
f269b73e CW |
1597 | (defvar calc-aborted-prefix nil) |
1598 | (defvar calc-start-time nil) | |
05287c49 | 1599 | (defvar calc-command-flags nil) |
730576f3 CW |
1600 | (defvar calc-final-point-line) |
1601 | (defvar calc-final-point-column) | |
136211a9 EZ |
1602 | ;;; Note that modifications to this function may break calc-pass-errors. |
1603 | (defun calc-do (do-body &optional do-slow) | |
1604 | (calc-check-defines) | |
1605 | (let* ((calc-command-flags nil) | |
1606 | (calc-start-time (and calc-timing (not calc-start-time) | |
ce805efa | 1607 | (require 'calc-ext) |
136211a9 EZ |
1608 | (current-time-string))) |
1609 | (gc-cons-threshold (max gc-cons-threshold | |
730576f3 CW |
1610 | (if calc-timing 2000000 100000))) |
1611 | calc-final-point-line calc-final-point-column) | |
136211a9 EZ |
1612 | (setq calc-aborted-prefix "") |
1613 | (unwind-protect | |
1614 | (condition-case err | |
1615 | (save-excursion | |
1616 | (if calc-embedded-info | |
1617 | (calc-embedded-select-buffer) | |
1618 | (calc-select-buffer)) | |
1619 | (and (eq calc-algebraic-mode 'total) | |
ce805efa | 1620 | (require 'calc-ext) |
136211a9 | 1621 | (use-local-map calc-alg-map)) |
f269b73e CW |
1622 | (when (and do-slow calc-display-working-message) |
1623 | (message "Working...") | |
1624 | (calc-set-command-flag 'clear-message)) | |
136211a9 EZ |
1625 | (funcall do-body) |
1626 | (setq calc-aborted-prefix nil) | |
f269b73e CW |
1627 | (when (memq 'renum-stack calc-command-flags) |
1628 | (calc-renumber-stack)) | |
1629 | (when (memq 'clear-message calc-command-flags) | |
1630 | (message ""))) | |
136211a9 EZ |
1631 | (error |
1632 | (if (and (eq (car err) 'error) | |
1633 | (stringp (nth 1 err)) | |
1634 | (string-match "max-specpdl-size\\|max-lisp-eval-depth" | |
1635 | (nth 1 err))) | |
f269b73e | 1636 | (error "Computation got stuck or ran too long. Type `M' to increase the limit") |
136211a9 EZ |
1637 | (setq calc-aborted-prefix nil) |
1638 | (signal (car err) (cdr err))))) | |
f269b73e CW |
1639 | (when calc-aborted-prefix |
1640 | (calc-record "<Aborted>" calc-aborted-prefix)) | |
136211a9 EZ |
1641 | (and calc-start-time |
1642 | (let* ((calc-internal-prec 12) | |
1643 | (calc-date-format nil) | |
1644 | (end-time (current-time-string)) | |
1645 | (time (if (equal calc-start-time end-time) | |
1646 | 0 | |
1647 | (math-sub | |
1648 | (calcFunc-unixtime (math-parse-date end-time) 0) | |
1649 | (calcFunc-unixtime (math-parse-date calc-start-time) | |
1650 | 0))))) | |
1651 | (if (math-lessp 1 time) | |
1652 | (calc-record time "(t)")))) | |
1653 | (or (memq 'no-align calc-command-flags) | |
1654 | (eq major-mode 'calc-trail-mode) | |
1655 | (calc-align-stack-window)) | |
1656 | (and (memq 'position-point calc-command-flags) | |
1657 | (if (eq major-mode 'calc-mode) | |
1658 | (progn | |
e6ce8c42 GM |
1659 | (goto-char (point-min)) |
1660 | (forward-line (1- calc-final-point-line)) | |
136211a9 | 1661 | (move-to-column calc-final-point-column)) |
730576f3 | 1662 | (save-current-buffer |
136211a9 | 1663 | (calc-select-buffer) |
e6ce8c42 GM |
1664 | (goto-char (point-min)) |
1665 | (forward-line (1- calc-final-point-line)) | |
136211a9 | 1666 | (move-to-column calc-final-point-column)))) |
f269b73e CW |
1667 | (unless (memq 'keep-flags calc-command-flags) |
1668 | (save-excursion | |
1669 | (calc-select-buffer) | |
1670 | (setq calc-inverse-flag nil | |
1671 | calc-hyperbolic-flag nil | |
d8b01fef | 1672 | calc-option-flag nil |
f269b73e CW |
1673 | calc-keep-args-flag nil))) |
1674 | (when (memq 'do-edit calc-command-flags) | |
1675 | (switch-to-buffer (get-buffer-create "*Calc Edit*"))) | |
136211a9 | 1676 | (calc-set-mode-line) |
f269b73e CW |
1677 | (when calc-embedded-info |
1678 | (calc-embedded-finish-command)))) | |
bf77c646 CW |
1679 | (identity nil)) ; allow a GC after timing is done |
1680 | ||
136211a9 EZ |
1681 | |
1682 | (defun calc-set-command-flag (f) | |
f269b73e CW |
1683 | (unless (memq f calc-command-flags) |
1684 | (setq calc-command-flags (cons f calc-command-flags)))) | |
136211a9 EZ |
1685 | |
1686 | (defun calc-select-buffer () | |
1687 | (or (eq major-mode 'calc-mode) | |
1688 | (if calc-main-buffer | |
1689 | (set-buffer calc-main-buffer) | |
1690 | (let ((buf (get-buffer "*Calculator*"))) | |
1691 | (if buf | |
1692 | (set-buffer buf) | |
bf77c646 | 1693 | (error "Calculator buffer not available")))))) |
136211a9 EZ |
1694 | |
1695 | (defun calc-cursor-stack-index (&optional index) | |
1696 | (goto-char (point-max)) | |
bf77c646 | 1697 | (forward-line (- (calc-substack-height (or index 1))))) |
136211a9 EZ |
1698 | |
1699 | (defun calc-stack-size () | |
bf77c646 | 1700 | (- (length calc-stack) calc-stack-top)) |
136211a9 EZ |
1701 | |
1702 | (defun calc-substack-height (n) | |
1703 | (let ((sum 0) | |
1704 | (stack calc-stack)) | |
1705 | (setq n (+ n calc-stack-top)) | |
1706 | (while (and (> n 0) stack) | |
1707 | (setq sum (+ sum (nth 1 (car stack))) | |
1708 | n (1- n) | |
1709 | stack (cdr stack))) | |
bf77c646 | 1710 | sum)) |
136211a9 EZ |
1711 | |
1712 | (defun calc-set-mode-line () | |
1713 | (save-excursion | |
1714 | (calc-select-buffer) | |
1715 | (let* ((fmt (car calc-float-format)) | |
1716 | (figs (nth 1 calc-float-format)) | |
1717 | (new-mode-string | |
1718 | (format "Calc%s%s: %d %s %-14s" | |
26361eae JB |
1719 | (if (and calc-embedded-info |
1720 | (eq (aref calc-embedded-info 1) (current-buffer))) | |
1721 | "Embed" "") | |
136211a9 EZ |
1722 | (if (and (> (length (buffer-name)) 12) |
1723 | (equal (substring (buffer-name) 0 12) | |
1724 | "*Calculator*")) | |
1725 | (substring (buffer-name) 12) | |
1726 | "") | |
1727 | calc-internal-prec | |
1728 | (capitalize (symbol-name calc-angle-mode)) | |
1729 | (concat | |
1730 | ||
1731 | ;; Input-related modes | |
1732 | (if (eq calc-algebraic-mode 'total) "Alg* " | |
1733 | (if calc-algebraic-mode "Alg " | |
1734 | (if calc-incomplete-algebraic-mode "Alg[( " ""))) | |
1735 | ||
1736 | ;; Computational modes | |
1737 | (if calc-symbolic-mode "Symb " "") | |
1738 | (cond ((eq calc-matrix-mode 'matrix) "Matrix ") | |
1739 | ((integerp calc-matrix-mode) | |
1740 | (format "Matrix%d " calc-matrix-mode)) | |
bbcaa3e3 | 1741 | ((eq calc-matrix-mode 'sqmatrix) "SqMatrix ") |
136211a9 EZ |
1742 | ((eq calc-matrix-mode 'scalar) "Scalar ") |
1743 | (t "")) | |
1744 | (if (eq calc-complex-mode 'polar) "Polar " "") | |
1745 | (if calc-prefer-frac "Frac " "") | |
1746 | (cond ((null calc-infinite-mode) "") | |
1747 | ((eq calc-infinite-mode 1) "+Inf ") | |
1748 | (t "Inf ")) | |
1749 | (cond ((eq calc-simplify-mode 'none) "NoSimp ") | |
1750 | ((eq calc-simplify-mode 'num) "NumSimp ") | |
1751 | ((eq calc-simplify-mode 'binary) | |
1752 | (format "BinSimp%d " calc-word-size)) | |
1753 | ((eq calc-simplify-mode 'alg) "AlgSimp ") | |
1754 | ((eq calc-simplify-mode 'ext) "ExtSimp ") | |
1755 | ((eq calc-simplify-mode 'units) "UnitSimp ") | |
1756 | (t "")) | |
1757 | ||
1758 | ;; Display modes | |
1759 | (cond ((= calc-number-radix 10) "") | |
1760 | ((= calc-number-radix 2) "Bin ") | |
1761 | ((= calc-number-radix 8) "Oct ") | |
1762 | ((= calc-number-radix 16) "Hex ") | |
1763 | (t (format "Radix%d " calc-number-radix))) | |
35d69a37 | 1764 | (if calc-twos-complement-mode "TwosComp " "") |
136211a9 EZ |
1765 | (if calc-leading-zeros "Zero " "") |
1766 | (cond ((null calc-language) "") | |
da6b9bf4 JB |
1767 | ((get calc-language 'math-lang-name) |
1768 | (concat (get calc-language 'math-lang-name) " ")) | |
136211a9 EZ |
1769 | (t (concat |
1770 | (capitalize (symbol-name calc-language)) | |
1771 | " "))) | |
1772 | (cond ((eq fmt 'float) | |
1773 | (if (zerop figs) "" (format "Norm%d " figs))) | |
1774 | ((eq fmt 'fix) (format "Fix%d " figs)) | |
1775 | ((eq fmt 'sci) | |
1776 | (if (zerop figs) "Sci " (format "Sci%d " figs))) | |
1777 | ((eq fmt 'eng) | |
1778 | (if (zerop figs) "Eng " (format "Eng%d " figs)))) | |
1779 | (cond ((not calc-display-just) | |
1780 | (if calc-display-origin | |
1781 | (format "Left%d " calc-display-origin) "")) | |
1782 | ((eq calc-display-just 'right) | |
1783 | (if calc-display-origin | |
1784 | (format "Right%d " calc-display-origin) | |
1785 | "Right ")) | |
1786 | (t | |
1787 | (if calc-display-origin | |
1788 | (format "Center%d " calc-display-origin) | |
1789 | "Center "))) | |
1790 | (cond ((integerp calc-line-breaking) | |
1791 | (format "Wid%d " calc-line-breaking)) | |
1792 | (calc-line-breaking "") | |
1793 | (t "Wide ")) | |
1794 | ||
1795 | ;; Miscellaneous other modes/indicators | |
1796 | (if calc-assoc-selections "" "Break ") | |
1797 | (cond ((eq calc-mode-save-mode 'save) "Save ") | |
1798 | ((not calc-embedded-info) "") | |
1799 | ((eq calc-mode-save-mode 'local) "Local ") | |
1800 | ((eq calc-mode-save-mode 'edit) "LocEdit ") | |
1801 | ((eq calc-mode-save-mode 'perm) "LocPerm ") | |
1802 | ((eq calc-mode-save-mode 'global) "Global ") | |
1803 | (t "")) | |
1804 | (if calc-auto-recompute "" "Manual ") | |
1805 | (if (and (fboundp 'calc-gnuplot-alive) | |
1806 | (calc-gnuplot-alive)) "Graph " "") | |
1807 | (if (and calc-embedded-info | |
1808 | (> (calc-stack-size) 0) | |
1809 | (calc-top 1 'sel)) "Sel " "") | |
1810 | (if calc-display-dirty "Dirty " "") | |
d8b01fef | 1811 | (if calc-option-flag "Opt " "") |
136211a9 EZ |
1812 | (if calc-inverse-flag "Inv " "") |
1813 | (if calc-hyperbolic-flag "Hyp " "") | |
1814 | (if calc-keep-args-flag "Keep " "") | |
1815 | (if (/= calc-stack-top 1) "Narrow " "") | |
1816 | (apply 'concat calc-other-modes))))) | |
1817 | (if (equal new-mode-string mode-line-buffer-identification) | |
1818 | nil | |
1819 | (setq mode-line-buffer-identification new-mode-string) | |
1820 | (set-buffer-modified-p (buffer-modified-p)) | |
bf77c646 | 1821 | (and calc-embedded-info (calc-embedded-mode-line-change)))))) |
136211a9 EZ |
1822 | |
1823 | (defun calc-align-stack-window () | |
1824 | (if (eq major-mode 'calc-mode) | |
1825 | (progn | |
1826 | (let ((win (get-buffer-window (current-buffer)))) | |
1827 | (if win | |
1828 | (progn | |
1829 | (calc-cursor-stack-index 0) | |
1830 | (vertical-motion (- 2 (window-height win))) | |
1831 | (set-window-start win (point))))) | |
1832 | (calc-cursor-stack-index 0) | |
1833 | (if (looking-at " *\\.$") | |
1834 | (goto-char (1- (match-end 0))))) | |
1835 | (save-excursion | |
1836 | (calc-select-buffer) | |
bf77c646 | 1837 | (calc-align-stack-window)))) |
136211a9 EZ |
1838 | |
1839 | (defun calc-check-stack (n) | |
1840 | (if (> n (calc-stack-size)) | |
1841 | (error "Too few elements on stack")) | |
1842 | (if (< n 0) | |
bf77c646 | 1843 | (error "Invalid argument"))) |
136211a9 EZ |
1844 | |
1845 | (defun calc-push-list (vals &optional m sels) | |
1846 | (while vals | |
1847 | (if calc-executing-macro | |
1848 | (calc-push-list-in-macro vals m sels) | |
1849 | (save-excursion | |
1850 | (calc-select-buffer) | |
1851 | (let* ((val (car vals)) | |
1852 | (entry (list val 1 (car sels))) | |
1853 | (mm (+ (or m 1) calc-stack-top))) | |
1854 | (calc-cursor-stack-index (1- (or m 1))) | |
1855 | (if (> mm 1) | |
1856 | (setcdr (nthcdr (- mm 2) calc-stack) | |
1857 | (cons entry (nthcdr (1- mm) calc-stack))) | |
1858 | (setq calc-stack (cons entry calc-stack))) | |
1859 | (let ((buffer-read-only nil)) | |
1860 | (insert (math-format-stack-value entry) "\n")) | |
1861 | (calc-record-undo (list 'push mm)) | |
1862 | (calc-set-command-flag 'renum-stack)))) | |
1863 | (setq vals (cdr vals) | |
bf77c646 | 1864 | sels (cdr sels)))) |
136211a9 EZ |
1865 | |
1866 | (defun calc-pop-push-list (n vals &optional m sels) | |
1867 | (if (and calc-any-selections (null sels)) | |
1868 | (calc-replace-selections n vals m) | |
1869 | (calc-pop-stack n m sels) | |
bf77c646 | 1870 | (calc-push-list vals m sels))) |
136211a9 EZ |
1871 | |
1872 | (defun calc-pop-push-record-list (n prefix vals &optional m sels) | |
1873 | (or (and (consp vals) | |
1874 | (or (integerp (car vals)) | |
1875 | (consp (car vals)))) | |
1876 | (and vals (setq vals (list vals) | |
1877 | sels (and sels (list sels))))) | |
1878 | (calc-check-stack (+ n (or m 1) -1)) | |
1879 | (if prefix | |
1880 | (if (cdr vals) | |
1881 | (calc-record-list vals prefix) | |
1882 | (calc-record (car vals) prefix))) | |
bf77c646 | 1883 | (calc-pop-push-list n vals m sels)) |
136211a9 EZ |
1884 | |
1885 | (defun calc-enter-result (n prefix vals &optional m) | |
1886 | (setq calc-aborted-prefix prefix) | |
1887 | (if (and (consp vals) | |
1888 | (or (integerp (car vals)) | |
1889 | (consp (car vals)))) | |
1890 | (setq vals (mapcar 'calc-normalize vals)) | |
1891 | (setq vals (calc-normalize vals))) | |
1892 | (or (and (consp vals) | |
1893 | (or (integerp (car vals)) | |
1894 | (consp (car vals)))) | |
1895 | (setq vals (list vals))) | |
1896 | (if (equal vals '((nil))) | |
1897 | (setq vals nil)) | |
1898 | (calc-pop-push-record-list n prefix vals m) | |
bf77c646 | 1899 | (calc-handle-whys)) |
136211a9 EZ |
1900 | |
1901 | (defun calc-normalize (val) | |
1902 | (if (memq calc-simplify-mode '(nil none num)) | |
1903 | (math-normalize val) | |
ce805efa | 1904 | (require 'calc-ext) |
bf77c646 | 1905 | (calc-normalize-fancy val))) |
136211a9 EZ |
1906 | |
1907 | (defun calc-handle-whys () | |
1908 | (if calc-next-why | |
bf77c646 | 1909 | (calc-do-handle-whys))) |
136211a9 EZ |
1910 | |
1911 | ||
1912 | (defun calc-pop-stack (&optional n m sel-ok) ; pop N objs at level M of stack. | |
1913 | (or n (setq n 1)) | |
1914 | (or m (setq m 1)) | |
1915 | (or calc-keep-args-flag | |
1916 | (let ((mm (+ m calc-stack-top))) | |
1917 | (if (and calc-any-selections (not sel-ok) | |
1918 | (calc-top-selected n m)) | |
1919 | (calc-sel-error)) | |
1920 | (if calc-executing-macro | |
1921 | (calc-pop-stack-in-macro n mm) | |
1922 | (calc-record-undo (list 'pop mm (calc-top-list n m 'full))) | |
1923 | (save-excursion | |
1924 | (calc-select-buffer) | |
1925 | (let ((buffer-read-only nil)) | |
1926 | (if (> mm 1) | |
1927 | (progn | |
1928 | (calc-cursor-stack-index (1- m)) | |
1929 | (let ((bot (point))) | |
1930 | (calc-cursor-stack-index (+ n m -1)) | |
1931 | (delete-region (point) bot)) | |
1932 | (setcdr (nthcdr (- mm 2) calc-stack) | |
1933 | (nthcdr (+ n mm -1) calc-stack))) | |
1934 | (calc-cursor-stack-index n) | |
1935 | (setq calc-stack (nthcdr n calc-stack)) | |
1936 | (delete-region (point) (point-max)))) | |
bf77c646 | 1937 | (calc-set-command-flag 'renum-stack)))))) |
136211a9 | 1938 | |
730576f3 | 1939 | (defvar sel-mode) |
136211a9 EZ |
1940 | (defun calc-get-stack-element (x) |
1941 | (cond ((eq sel-mode 'entry) | |
1942 | x) | |
1943 | ((eq sel-mode 'sel) | |
1944 | (nth 2 x)) | |
1945 | ((or (null (nth 2 x)) | |
1946 | (eq sel-mode 'full) | |
1947 | (not calc-use-selections)) | |
1948 | (car x)) | |
1949 | (sel-mode | |
1950 | (calc-sel-error)) | |
bf77c646 | 1951 | (t (nth 2 x)))) |
136211a9 EZ |
1952 | |
1953 | ;; Get the Nth element of the stack (N=1 is the top element). | |
1954 | (defun calc-top (&optional n sel-mode) | |
1955 | (or n (setq n 1)) | |
1956 | (calc-check-stack n) | |
bf77c646 | 1957 | (calc-get-stack-element (nth (+ n calc-stack-top -1) calc-stack))) |
136211a9 EZ |
1958 | |
1959 | (defun calc-top-n (&optional n sel-mode) ; in case precision has changed | |
bf77c646 | 1960 | (math-check-complete (calc-normalize (calc-top n sel-mode)))) |
136211a9 EZ |
1961 | |
1962 | (defun calc-top-list (&optional n m sel-mode) | |
1963 | (or n (setq n 1)) | |
1964 | (or m (setq m 1)) | |
1965 | (calc-check-stack (+ n m -1)) | |
1966 | (and (> n 0) | |
1967 | (let ((top (copy-sequence (nthcdr (+ m calc-stack-top -1) | |
1968 | calc-stack)))) | |
1969 | (setcdr (nthcdr (1- n) top) nil) | |
bf77c646 | 1970 | (nreverse (mapcar 'calc-get-stack-element top))))) |
136211a9 EZ |
1971 | |
1972 | (defun calc-top-list-n (&optional n m sel-mode) | |
1973 | (mapcar 'math-check-complete | |
bf77c646 | 1974 | (mapcar 'calc-normalize (calc-top-list n m sel-mode)))) |
136211a9 EZ |
1975 | |
1976 | ||
1977 | (defun calc-renumber-stack () | |
1978 | (if calc-line-numbering | |
1979 | (save-excursion | |
1980 | (calc-cursor-stack-index 0) | |
1981 | (let ((lnum 1) | |
1982 | (buffer-read-only nil) | |
1983 | (stack (nthcdr calc-stack-top calc-stack))) | |
1984 | (if (re-search-forward "^[0-9]+[:*]" nil t) | |
1985 | (progn | |
1986 | (beginning-of-line) | |
1987 | (while (re-search-forward "^[0-9]+[:*]" nil t) | |
1988 | (let ((buffer-read-only nil)) | |
1989 | (beginning-of-line) | |
1990 | (delete-char 4) | |
1991 | (insert " "))) | |
1992 | (calc-cursor-stack-index 0))) | |
1993 | (while (re-search-backward "^[0-9]+[:*]" nil t) | |
1994 | (delete-char 4) | |
1995 | (if (> lnum 999) | |
1996 | (insert (format "%03d%s" (% lnum 1000) | |
1997 | (if (and (nth 2 (car stack)) | |
1998 | calc-use-selections) "*" ":"))) | |
1999 | (let ((prefix (int-to-string lnum))) | |
2000 | (insert prefix (if (and (nth 2 (car stack)) | |
2001 | calc-use-selections) "*" ":") | |
2002 | (make-string (- 3 (length prefix)) 32)))) | |
2003 | (beginning-of-line) | |
2004 | (setq lnum (1+ lnum) | |
2005 | stack (cdr stack)))))) | |
bf77c646 | 2006 | (and calc-embedded-info (calc-embedded-stack-change))) |
136211a9 | 2007 | |
11bfbbd2 | 2008 | (defvar calc-any-evaltos nil) |
136211a9 EZ |
2009 | (defun calc-refresh (&optional align) |
2010 | (interactive) | |
2011 | (and (eq major-mode 'calc-mode) | |
2012 | (not calc-executing-macro) | |
2013 | (let* ((buffer-read-only nil) | |
2014 | (save-point (point)) | |
2015 | (save-mark (condition-case err (mark) (error nil))) | |
2016 | (save-aligned (looking-at "\\.$")) | |
730576f3 CW |
2017 | (thing calc-stack) |
2018 | (calc-any-evaltos nil)) | |
2019 | (setq calc-any-selections nil) | |
136211a9 | 2020 | (erase-buffer) |
1501f4f6 | 2021 | (when calc-show-banner |
cd012309 | 2022 | (insert (propertize "--- Emacs Calculator Mode ---\n" |
2c695727 | 2023 | 'face 'italic))) |
136211a9 EZ |
2024 | (while thing |
2025 | (goto-char (point-min)) | |
1501f4f6 MB |
2026 | (when calc-show-banner |
2027 | (forward-line 1)) | |
136211a9 EZ |
2028 | (insert (math-format-stack-value (car thing)) "\n") |
2029 | (setq thing (cdr thing))) | |
2030 | (calc-renumber-stack) | |
2031 | (if calc-display-dirty | |
2032 | (calc-wrapper (setq calc-display-dirty nil))) | |
2033 | (and calc-any-evaltos calc-auto-recompute | |
2034 | (calc-wrapper (calc-refresh-evaltos))) | |
2035 | (if (or align save-aligned) | |
2036 | (calc-align-stack-window) | |
2037 | (goto-char save-point)) | |
2038 | (if save-mark (set-mark save-mark)))) | |
2039 | (and calc-embedded-info (not (eq major-mode 'calc-mode)) | |
6df9b6d7 | 2040 | (with-current-buffer (aref calc-embedded-info 1) |
136211a9 | 2041 | (calc-refresh align))) |
bf77c646 | 2042 | (setq calc-refresh-count (1+ calc-refresh-count))) |
136211a9 | 2043 | |
136211a9 EZ |
2044 | ;;;; The Calc Trail buffer. |
2045 | ||
2046 | (defun calc-check-trail-aligned () | |
2047 | (save-excursion | |
2048 | (let ((win (get-buffer-window (current-buffer)))) | |
2049 | (and win | |
bf77c646 | 2050 | (pos-visible-in-window-p (1- (point-max)) win))))) |
136211a9 EZ |
2051 | |
2052 | (defun calc-trail-buffer () | |
2053 | (and (or (null calc-trail-buffer) | |
2054 | (null (buffer-name calc-trail-buffer))) | |
2055 | (save-excursion | |
2056 | (setq calc-trail-buffer (get-buffer-create "*Calc Trail*")) | |
2057 | (let ((buf (or (and (not (eq major-mode 'calc-mode)) | |
2058 | (get-buffer "*Calculator*")) | |
2059 | (current-buffer)))) | |
2060 | (set-buffer calc-trail-buffer) | |
2061 | (or (eq major-mode 'calc-trail-mode) | |
2062 | (calc-trail-mode buf))))) | |
2063 | (or (and calc-trail-pointer | |
2064 | (eq (marker-buffer calc-trail-pointer) calc-trail-buffer)) | |
6df9b6d7 | 2065 | (with-current-buffer calc-trail-buffer |
e6ce8c42 GM |
2066 | (goto-char (point-min)) |
2067 | (forward-line 1) | |
136211a9 | 2068 | (setq calc-trail-pointer (point-marker)))) |
bf77c646 | 2069 | calc-trail-buffer) |
136211a9 EZ |
2070 | |
2071 | (defun calc-record (val &optional prefix) | |
2072 | (setq calc-aborted-prefix nil) | |
2073 | (or calc-executing-macro | |
2074 | (let* ((mainbuf (current-buffer)) | |
2075 | (buf (calc-trail-buffer)) | |
2076 | (calc-display-raw nil) | |
2077 | (calc-can-abbrev-vectors t) | |
2078 | (fval (if val | |
2079 | (if (stringp val) | |
2080 | val | |
2081 | (math-showing-full-precision | |
2082 | (math-format-flat-expr val 0))) | |
2083 | ""))) | |
6df9b6d7 | 2084 | (with-current-buffer buf |
136211a9 EZ |
2085 | (let ((aligned (calc-check-trail-aligned)) |
2086 | (buffer-read-only nil)) | |
2087 | (goto-char (point-max)) | |
2088 | (cond ((null prefix) (insert " ")) | |
2089 | ((and (> (length prefix) 4) | |
2090 | (string-match " " prefix 4)) | |
2091 | (insert (substring prefix 0 4) " ")) | |
2092 | (t (insert (format "%4s " prefix)))) | |
2093 | (insert fval "\n") | |
2094 | (let ((win (get-buffer-window buf))) | |
2095 | (if (and aligned win (not (memq 'hold-trail calc-command-flags))) | |
2096 | (calc-trail-here)) | |
2097 | (goto-char (1- (point-max)))))))) | |
bf77c646 | 2098 | val) |
136211a9 EZ |
2099 | |
2100 | ||
577e1b74 JB |
2101 | (defun calc-trail-display (flag &optional no-refresh interactive) |
2102 | (interactive "P\ni\np") | |
136211a9 EZ |
2103 | (let ((win (get-buffer-window (calc-trail-buffer)))) |
2104 | (if (setq calc-display-trail | |
2105 | (not (if flag (memq flag '(nil 0)) win))) | |
2106 | (if (null win) | |
2107 | (progn | |
ed65ed86 JB |
2108 | (if calc-trail-window-hook |
2109 | (run-hooks 'calc-trail-window-hook) | |
2110 | (let ((w (split-window nil (/ (* (window-width) 2) 3) t))) | |
2111 | (set-window-buffer w calc-trail-buffer))) | |
2112 | (calc-wrapper | |
2113 | (setq overlay-arrow-string calc-trail-overlay | |
2114 | overlay-arrow-position calc-trail-pointer) | |
2115 | (or no-refresh | |
2116 | (if interactive | |
2117 | (calc-do-refresh) | |
2118 | (calc-refresh)))))) | |
136211a9 EZ |
2119 | (if win |
2120 | (progn | |
2121 | (delete-window win) | |
2122 | (calc-wrapper | |
2123 | (or no-refresh | |
577e1b74 | 2124 | (if interactive |
136211a9 EZ |
2125 | (calc-do-refresh) |
2126 | (calc-refresh)))))))) | |
bf77c646 | 2127 | calc-trail-buffer) |
136211a9 EZ |
2128 | |
2129 | (defun calc-trail-here () | |
2130 | (interactive) | |
2131 | (if (eq major-mode 'calc-trail-mode) | |
2132 | (progn | |
2133 | (beginning-of-line) | |
2134 | (if (bobp) | |
2135 | (forward-line 1) | |
2136 | (if (eobp) | |
2137 | (forward-line -1))) | |
2138 | (if (or (bobp) (eobp)) | |
2139 | (setq overlay-arrow-position nil) ; trail is empty | |
2140 | (set-marker calc-trail-pointer (point) (current-buffer)) | |
2141 | (setq calc-trail-overlay (concat (buffer-substring (point) | |
2142 | (+ (point) 4)) | |
2143 | ">") | |
2144 | overlay-arrow-string calc-trail-overlay | |
2145 | overlay-arrow-position calc-trail-pointer) | |
2146 | (forward-char 4) | |
2147 | (let ((win (get-buffer-window (current-buffer)))) | |
2148 | (if win | |
2149 | (save-excursion | |
2150 | (forward-line (/ (window-height win) 2)) | |
2151 | (forward-line (- 1 (window-height win))) | |
2152 | (set-window-start win (point)) | |
2153 | (set-window-point win (+ calc-trail-pointer 4)) | |
2154 | (set-buffer calc-main-buffer) | |
2155 | (setq overlay-arrow-string calc-trail-overlay | |
2156 | overlay-arrow-position calc-trail-pointer)))))) | |
bf77c646 | 2157 | (error "Not in Calc Trail buffer"))) |
136211a9 EZ |
2158 | |
2159 | ||
2160 | ||
2161 | ||
2162 | ;;;; The Undo list. | |
2163 | ||
2164 | (defun calc-record-undo (rec) | |
2165 | (or calc-executing-macro | |
2166 | (if (memq 'undo calc-command-flags) | |
2167 | (setq calc-undo-list (cons (cons rec (car calc-undo-list)) | |
2168 | (cdr calc-undo-list))) | |
2169 | (setq calc-undo-list (cons (list rec) calc-undo-list) | |
2170 | calc-redo-list nil) | |
bf77c646 | 2171 | (calc-set-command-flag 'undo)))) |
136211a9 EZ |
2172 | |
2173 | ||
2174 | ||
2175 | ||
2176 | ;;; Arithmetic commands. | |
2177 | ||
2178 | (defun calc-binary-op (name func arg &optional ident unary func2) | |
2179 | (setq calc-aborted-prefix name) | |
2180 | (if (null arg) | |
2181 | (calc-enter-result 2 name (cons (or func2 func) | |
2182 | (mapcar 'math-check-complete | |
2183 | (calc-top-list 2)))) | |
ce805efa | 2184 | (require 'calc-ext) |
bf77c646 | 2185 | (calc-binary-op-fancy name func arg ident unary))) |
136211a9 EZ |
2186 | |
2187 | (defun calc-unary-op (name func arg &optional func2) | |
2188 | (setq calc-aborted-prefix name) | |
2189 | (if (null arg) | |
2190 | (calc-enter-result 1 name (list (or func2 func) | |
2191 | (math-check-complete (calc-top 1)))) | |
ce805efa | 2192 | (require 'calc-ext) |
bf77c646 | 2193 | (calc-unary-op-fancy name func arg))) |
136211a9 EZ |
2194 | |
2195 | ||
2196 | (defun calc-plus (arg) | |
2197 | (interactive "P") | |
2198 | (calc-slow-wrapper | |
bf77c646 | 2199 | (calc-binary-op "+" 'calcFunc-add arg 0 nil '+))) |
136211a9 EZ |
2200 | |
2201 | (defun calc-minus (arg) | |
2202 | (interactive "P") | |
2203 | (calc-slow-wrapper | |
bf77c646 | 2204 | (calc-binary-op "-" 'calcFunc-sub arg 0 'neg '-))) |
136211a9 EZ |
2205 | |
2206 | (defun calc-times (arg) | |
2207 | (interactive "P") | |
2208 | (calc-slow-wrapper | |
bf77c646 | 2209 | (calc-binary-op "*" 'calcFunc-mul arg 1 nil '*))) |
136211a9 EZ |
2210 | |
2211 | (defun calc-divide (arg) | |
2212 | (interactive "P") | |
2213 | (calc-slow-wrapper | |
bf77c646 | 2214 | (calc-binary-op "/" 'calcFunc-div arg 0 'calcFunc-inv '/))) |
136211a9 | 2215 | |
431bbd67 JB |
2216 | (defun calc-left-divide (arg) |
2217 | (interactive "P") | |
2218 | (calc-slow-wrapper | |
2219 | (calc-binary-op "ldiv" 'calcFunc-ldiv arg 0 nil nil))) | |
136211a9 EZ |
2220 | |
2221 | (defun calc-change-sign (arg) | |
2222 | (interactive "P") | |
2223 | (calc-wrapper | |
bf77c646 | 2224 | (calc-unary-op "chs" 'neg arg))) |
136211a9 EZ |
2225 | |
2226 | ||
2227 | ||
2228 | ;;; Stack management commands. | |
2229 | ||
2230 | (defun calc-enter (n) | |
2231 | (interactive "p") | |
2232 | (calc-wrapper | |
2233 | (cond ((< n 0) | |
2234 | (calc-push-list (calc-top-list 1 (- n)))) | |
2235 | ((= n 0) | |
2236 | (calc-push-list (calc-top-list (calc-stack-size)))) | |
2237 | (t | |
bf77c646 | 2238 | (calc-push-list (calc-top-list n)))))) |
136211a9 EZ |
2239 | |
2240 | ||
2241 | (defun calc-pop (n) | |
2242 | (interactive "P") | |
2243 | (calc-wrapper | |
2244 | (let* ((nn (prefix-numeric-value n)) | |
2245 | (top (and (null n) (calc-top 1)))) | |
2246 | (cond ((and (null n) | |
2247 | (eq (car-safe top) 'incomplete) | |
2248 | (> (length top) (if (eq (nth 1 top) 'intv) 3 2))) | |
2249 | (calc-pop-push-list 1 (let ((tt (copy-sequence top))) | |
2250 | (setcdr (nthcdr (- (length tt) 2) tt) nil) | |
2251 | (list tt)))) | |
2252 | ((< nn 0) | |
2253 | (if (and calc-any-selections | |
2254 | (calc-top-selected 1 (- nn))) | |
2255 | (calc-delete-selection (- nn)) | |
2256 | (calc-pop-stack 1 (- nn) t))) | |
2257 | ((= nn 0) | |
2258 | (calc-pop-stack (calc-stack-size) 1 t)) | |
2259 | (t | |
2260 | (if (and calc-any-selections | |
2261 | (= nn 1) | |
2262 | (calc-top-selected 1 1)) | |
2263 | (calc-delete-selection 1) | |
bf77c646 | 2264 | (calc-pop-stack nn))))))) |
136211a9 EZ |
2265 | |
2266 | ||
2267 | ||
2268 | ||
2269 | ;;;; Reading a number using the minibuffer. | |
730576f3 CW |
2270 | (defvar calc-buffer) |
2271 | (defvar calc-prev-char) | |
2272 | (defvar calc-prev-prev-char) | |
2273 | (defvar calc-digit-value) | |
136211a9 EZ |
2274 | (defun calcDigit-start () |
2275 | (interactive) | |
2276 | (calc-wrapper | |
2277 | (if (or calc-algebraic-mode | |
e93c003e | 2278 | (and (> calc-number-radix 14) (eq last-command-event ?e))) |
136211a9 EZ |
2279 | (calc-alg-digit-entry) |
2280 | (calc-unread-command) | |
2281 | (setq calc-aborted-prefix nil) | |
2282 | (let* ((calc-digit-value nil) | |
2283 | (calc-prev-char nil) | |
2284 | (calc-prev-prev-char nil) | |
2285 | (calc-buffer (current-buffer)) | |
6546555e | 2286 | (buf (if (featurep 'xemacs) |
136211a9 EZ |
2287 | (catch 'calc-foo |
2288 | (catch 'execute-kbd-macro | |
2289 | (throw 'calc-foo | |
2290 | (read-from-minibuffer | |
2291 | "Calc: " "" calc-digit-map))) | |
6546555e | 2292 | (error "XEmacs requires RET after %s" |
136211a9 EZ |
2293 | "digit entry in kbd macro")) |
2294 | (let ((old-esc (lookup-key global-map "\e"))) | |
2295 | (unwind-protect | |
2296 | (progn | |
2297 | (define-key global-map "\e" nil) | |
2298 | (read-from-minibuffer "Calc: " "" calc-digit-map)) | |
2299 | (define-key global-map "\e" old-esc)))))) | |
2300 | (or calc-digit-value (setq calc-digit-value (math-read-number buf))) | |
2301 | (if (stringp calc-digit-value) | |
2302 | (calc-alg-entry calc-digit-value) | |
2303 | (if calc-digit-value | |
2304 | (calc-push-list (list (calc-record (calc-normalize | |
2305 | calc-digit-value)))))) | |
2306 | (if (eq calc-prev-char 'dots) | |
2307 | (progn | |
ce805efa | 2308 | (require 'calc-ext) |
bf77c646 | 2309 | (calc-dots))))))) |
136211a9 | 2310 | |
91e51f9a EZ |
2311 | (defsubst calc-minibuffer-size () |
2312 | (- (point-max) (minibuffer-prompt-end))) | |
2313 | ||
136211a9 EZ |
2314 | (defun calcDigit-nondigit () |
2315 | (interactive) | |
2316 | ;; Exercise for the reader: Figure out why this is a good precaution! | |
2317 | (or (boundp 'calc-buffer) | |
2318 | (use-local-map minibuffer-local-map)) | |
91e51f9a | 2319 | (let ((str (minibuffer-contents))) |
6df9b6d7 | 2320 | (setq calc-digit-value (with-current-buffer calc-buffer |
136211a9 | 2321 | (math-read-number str)))) |
91e51f9a | 2322 | (if (and (null calc-digit-value) (> (calc-minibuffer-size) 0)) |
136211a9 EZ |
2323 | (progn |
2324 | (beep) | |
2325 | (calc-temp-minibuffer-message " [Bad format]")) | |
e93c003e | 2326 | (or (memq last-command-event '(32 13)) |
136211a9 | 2327 | (progn (setq prefix-arg current-prefix-arg) |
e93c003e | 2328 | (calc-unread-command (if (and (eq last-command-event 27) |
1e4bd40d GM |
2329 | (>= last-input-event 128)) |
2330 | last-input-event | |
136211a9 | 2331 | nil)))) |
bf77c646 | 2332 | (exit-minibuffer))) |
136211a9 EZ |
2333 | |
2334 | ||
2335 | (defun calc-minibuffer-contains (rex) | |
2336 | (save-excursion | |
91e51f9a | 2337 | (goto-char (minibuffer-prompt-end)) |
bf77c646 | 2338 | (looking-at rex))) |
136211a9 EZ |
2339 | |
2340 | (defun calcDigit-key () | |
2341 | (interactive) | |
2342 | (goto-char (point-max)) | |
e93c003e | 2343 | (if (or (and (memq last-command-event '(?+ ?-)) |
136211a9 EZ |
2344 | (> (buffer-size) 0) |
2345 | (/= (preceding-char) ?e)) | |
e93c003e | 2346 | (and (memq last-command-event '(?m ?s)) |
136211a9 EZ |
2347 | (not (calc-minibuffer-contains "[-+]?[0-9]+\\.?0*[@oh].*")) |
2348 | (not (calc-minibuffer-contains "[-+]?\\(1[1-9]\\|[2-9][0-9]\\)#.*")))) | |
2349 | (calcDigit-nondigit) | |
2350 | (if (calc-minibuffer-contains "\\([-+]?\\|.* \\)\\'") | |
e93c003e GM |
2351 | (cond ((memq last-command-event '(?. ?@)) (insert "0")) |
2352 | ((and (memq last-command-event '(?o ?h ?m)) | |
136211a9 | 2353 | (not (calc-minibuffer-contains ".*#.*"))) (insert "0")) |
e93c003e GM |
2354 | ((memq last-command-event '(?: ?e)) (insert "1")) |
2355 | ((eq last-command-event ?#) | |
136211a9 EZ |
2356 | (insert (int-to-string calc-number-radix))))) |
2357 | (if (and (calc-minibuffer-contains "\\([-+]?[0-9]+#\\|[^:]*:\\)\\'") | |
e93c003e | 2358 | (eq last-command-event ?:)) |
136211a9 EZ |
2359 | (insert "1")) |
2360 | (if (and (calc-minibuffer-contains "[-+]?[0-9]+#\\'") | |
e93c003e | 2361 | (eq last-command-event ?.)) |
136211a9 EZ |
2362 | (insert "0")) |
2363 | (if (and (calc-minibuffer-contains "[-+]?0*\\([2-9]\\|1[0-4]\\)#\\'") | |
e93c003e | 2364 | (eq last-command-event ?e)) |
136211a9 | 2365 | (insert "1")) |
e93c003e | 2366 | (if (or (and (memq last-command-event '(?h ?o ?m ?s ?p)) |
136211a9 | 2367 | (calc-minibuffer-contains ".*#.*")) |
e93c003e | 2368 | (and (eq last-command-event ?e) |
136211a9 | 2369 | (calc-minibuffer-contains "[-+]?\\(1[5-9]\\|[2-9][0-9]\\)#.*")) |
e93c003e | 2370 | (and (eq last-command-event ?n) |
136211a9 | 2371 | (calc-minibuffer-contains "[-+]?\\(2[4-9]\\|[3-9][0-9]\\)#.*"))) |
e93c003e | 2372 | (setq last-command-event (upcase last-command-event))) |
136211a9 | 2373 | (cond |
e93c003e | 2374 | ((memq last-command-event '(?_ ?n)) |
cd01f5b9 | 2375 | (goto-char (minibuffer-prompt-end)) |
136211a9 EZ |
2376 | (if (and (search-forward " +/- " nil t) |
2377 | (not (search-forward "e" nil t))) | |
2378 | (beep) | |
2379 | (and (not (calc-minibuffer-contains "[-+]?\\(1[5-9]\\|[2-9][0-9]\\)#.*")) | |
2380 | (search-forward "e" nil t)) | |
2381 | (if (looking-at "+") | |
2382 | (delete-char 1)) | |
2383 | (if (looking-at "-") | |
2384 | (delete-char 1) | |
2385 | (insert "-"))) | |
2386 | (goto-char (point-max))) | |
e93c003e | 2387 | ((eq last-command-event ?p) |
136211a9 EZ |
2388 | (if (or (calc-minibuffer-contains ".*\\+/-.*") |
2389 | (calc-minibuffer-contains ".*mod.*") | |
2390 | (calc-minibuffer-contains ".*#.*") | |
2391 | (calc-minibuffer-contains ".*[-+e:]\\'")) | |
2392 | (beep) | |
2393 | (if (not (calc-minibuffer-contains ".* \\'")) | |
2394 | (insert " ")) | |
2395 | (insert "+/- "))) | |
e93c003e | 2396 | ((and (eq last-command-event ?M) |
136211a9 EZ |
2397 | (not (calc-minibuffer-contains |
2398 | "[-+]?\\(2[3-9]\\|[3-9][0-9]\\)#.*"))) | |
2399 | (if (or (calc-minibuffer-contains ".*\\+/-.*") | |
2400 | (calc-minibuffer-contains ".*mod *[^ ]+") | |
2401 | (calc-minibuffer-contains ".*[-+e:]\\'")) | |
2402 | (beep) | |
2403 | (if (calc-minibuffer-contains ".*mod \\'") | |
2404 | (if calc-previous-modulo | |
2405 | (insert (math-format-flat-expr calc-previous-modulo 0)) | |
2406 | (beep)) | |
2407 | (if (not (calc-minibuffer-contains ".* \\'")) | |
2408 | (insert " ")) | |
2409 | (insert "mod ")))) | |
2410 | (t | |
e93c003e | 2411 | (insert (char-to-string last-command-event)) |
12d8d7f4 | 2412 | (if (or (and (calc-minibuffer-contains "[-+]?\\(.*\\+/- *\\|.*mod *\\)?\\([0-9][0-9]?\\)#[#]?[0-9a-zA-Z]*\\(:[0-9a-zA-Z]*\\(:[0-9a-zA-Z]*\\)?\\|.[0-9a-zA-Z]*\\(e[-+]?[0-9]*\\)?\\)?\\'") |
28572d7d | 2413 | (let ((radix (string-to-number |
136211a9 EZ |
2414 | (buffer-substring |
2415 | (match-beginning 2) (match-end 2))))) | |
2416 | (and (>= radix 2) | |
2417 | (<= radix 36) | |
e93c003e | 2418 | (or (memq last-command-event '(?# ?: ?. ?e ?+ ?-)) |
136211a9 | 2419 | (let ((dig (math-read-radix-digit |
e93c003e | 2420 | (upcase last-command-event)))) |
136211a9 EZ |
2421 | (and dig |
2422 | (< dig radix))))))) | |
91e51f9a EZ |
2423 | (calc-minibuffer-contains |
2424 | "[-+]?\\(.*\\+/- *\\|.*mod *\\)?\\([0-9]+\\.?0*[@oh] *\\)?\\([0-9]+\\.?0*['m] *\\)?[0-9]*\\(\\.?[0-9]*\\(e[-+]?[0-3]?[0-9]?[0-9]?[0-9]?[0-9]?[0-9]?[0-9]?\\)?\\|[0-9]:\\([0-9]+:\\)?[0-9]*\\)?[\"s]?\\'")) | |
e93c003e | 2425 | (if (and (memq last-command-event '(?@ ?o ?h ?\' ?m)) |
136211a9 EZ |
2426 | (string-match " " calc-hms-format)) |
2427 | (insert " ")) | |
2428 | (if (and (eq this-command last-command) | |
e93c003e | 2429 | (eq last-command-event ?.)) |
136211a9 | 2430 | (progn |
ce805efa | 2431 | (require 'calc-ext) |
136211a9 | 2432 | (calc-digit-dots)) |
d355a0b7 | 2433 | (delete-char -1) |
136211a9 EZ |
2434 | (beep) |
2435 | (calc-temp-minibuffer-message " [Bad format]")))))) | |
2436 | (setq calc-prev-prev-char calc-prev-char | |
e93c003e | 2437 | calc-prev-char last-command-event)) |
136211a9 EZ |
2438 | |
2439 | ||
2440 | (defun calcDigit-backspace () | |
2441 | (interactive) | |
2442 | (goto-char (point-max)) | |
2443 | (cond ((calc-minibuffer-contains ".* \\+/- \\'") | |
2444 | (backward-delete-char 5)) | |
2445 | ((calc-minibuffer-contains ".* mod \\'") | |
2446 | (backward-delete-char 5)) | |
2447 | ((calc-minibuffer-contains ".* \\'") | |
2448 | (backward-delete-char 2)) | |
2449 | ((eq last-command 'calcDigit-start) | |
2450 | (erase-buffer)) | |
2451 | (t (backward-delete-char 1))) | |
91e51f9a | 2452 | (if (= (calc-minibuffer-size) 0) |
136211a9 | 2453 | (progn |
e93c003e | 2454 | (setq last-command-event 13) |
bf77c646 | 2455 | (calcDigit-nondigit)))) |
136211a9 EZ |
2456 | |
2457 | ||
2458 | ||
2459 | ||
2a78421d | 2460 | (defconst math-bignum-digit-length |
37cecd78 | 2461 | (truncate (/ (log10 (/ most-positive-fixnum 2)) 2)) |
a6d107f1 JB |
2462 | "The length of a \"digit\" in Calc bignums. |
2463 | If a big integer is of the form (bigpos N0 N1 ...), this is the | |
2464 | length of the allowable Emacs integers N0, N1,... | |
2465 | The value of 2*10^(2*MATH-BIGNUM-DIGIT-LENGTH) must be less than the | |
2466 | largest Emacs integer.") | |
136211a9 | 2467 | |
2a78421d | 2468 | (defconst math-bignum-digit-size |
236e165a | 2469 | (expt 10 math-bignum-digit-length) |
a6d107f1 JB |
2470 | "An upper bound for the size of the \"digit\"s in Calc bignums.") |
2471 | ||
2a78421d | 2472 | (defconst math-small-integer-size |
236e165a | 2473 | (expt math-bignum-digit-size 2) |
a6d107f1 | 2474 | "An upper bound for the size of \"small integer\"s in Calc.") |
136211a9 EZ |
2475 | |
2476 | ||
2477 | ;;;; Arithmetic routines. | |
5cb16bfc SM |
2478 | ;; |
2479 | ;; An object as manipulated by one of these routines may take any of the | |
2480 | ;; following forms: | |
2481 | ;; | |
2482 | ;; integer An integer. For normalized numbers, this format | |
2483 | ;; is used only for | |
2484 | ;; negative math-small-integer-size + 1 to | |
2485 | ;; math-small-integer-size - 1 | |
2486 | ;; | |
2487 | ;; (bigpos N0 N1 N2 ...) A big positive integer, | |
2488 | ;; N0 + N1*math-bignum-digit-size | |
2489 | ;; + N2*(math-bignum-digit-size)^2 ... | |
2490 | ;; (bigneg N0 N1 N2 ...) A big negative integer, | |
2491 | ;; - N0 - N1*math-bignum-digit-size ... | |
2492 | ;; Each digit N is in the range | |
2493 | ;; 0 ... math-bignum-digit-size -1. | |
2494 | ;; Normalized, always at least three N present, | |
2495 | ;; and the most significant N is nonzero. | |
2496 | ;; | |
2497 | ;; (frac NUM DEN) A fraction. NUM and DEN are small or big integers. | |
2498 | ;; Normalized, DEN > 1. | |
2499 | ;; | |
2500 | ;; (float NUM EXP) A floating-point number, NUM * 10^EXP; | |
2501 | ;; NUM is a small or big integer, EXP is a small int. | |
2502 | ;; Normalized, NUM is not a multiple of 10, and | |
2503 | ;; abs(NUM) < 10^calc-internal-prec. | |
2504 | ;; Normalized zero is stored as (float 0 0). | |
2505 | ;; | |
2506 | ;; (cplx REAL IMAG) A complex number; REAL and IMAG are any of above. | |
2507 | ;; Normalized, IMAG is nonzero. | |
2508 | ;; | |
2509 | ;; (polar R THETA) Polar complex number. Normalized, R > 0 and THETA | |
2510 | ;; is neither zero nor 180 degrees (pi radians). | |
2511 | ;; | |
2512 | ;; (vec A B C ...) Vector of objects A, B, C, ... A matrix is a | |
2513 | ;; vector of vectors. | |
2514 | ;; | |
2515 | ;; (hms H M S) Angle in hours-minutes-seconds form. All three | |
2516 | ;; components have the same sign; H and M must be | |
2517 | ;; numerically integers; M and S are expected to | |
2518 | ;; lie in the range [0,60). | |
2519 | ;; | |
2520 | ;; (date N) A date or date/time object. N is an integer to | |
2521 | ;; store a date only, or a fraction or float to | |
2522 | ;; store a date and time. | |
2523 | ;; | |
2524 | ;; (sdev X SIGMA) Error form, X +/- SIGMA. When normalized, | |
2525 | ;; SIGMA > 0. X is any complex number and SIGMA | |
2526 | ;; is real numbers; or these may be symbolic | |
2527 | ;; expressions where SIGMA is assumed real. | |
2528 | ;; | |
2529 | ;; (intv MASK LO HI) Interval form. MASK is 0=(), 1=(], 2=[), or 3=[]. | |
2530 | ;; LO and HI are any real numbers, or symbolic | |
2531 | ;; expressions which are assumed real, and LO < HI. | |
2532 | ;; For [LO..HI], if LO = HI normalization produces LO, | |
2533 | ;; and if LO > HI normalization produces [LO..LO). | |
2534 | ;; For other intervals, if LO > HI normalization | |
2535 | ;; sets HI equal to LO. | |
2536 | ;; | |
2537 | ;; (mod N M) Number modulo M. When normalized, 0 <= N < M. | |
2538 | ;; N and M are real numbers. | |
2539 | ;; | |
2540 | ;; (var V S) Symbolic variable. V is a Lisp symbol which | |
2541 | ;; represents the variable's visible name. S is | |
2542 | ;; the symbol which actually stores the variable's | |
2543 | ;; value: (var pi var-pi). | |
2544 | ;; | |
2545 | ;; In general, combining rational numbers in a calculation always produces | |
2546 | ;; a rational result, but if either argument is a float, result is a float. | |
2547 | ||
2548 | ;; In the following comments, [x y z] means result is x, args must be y, z, | |
2549 | ;; respectively, where the code letters are: | |
2550 | ;; | |
2551 | ;; O Normalized object (vector or number) | |
2552 | ;; V Normalized vector | |
2553 | ;; N Normalized number of any type | |
2554 | ;; N Normalized complex number | |
2555 | ;; R Normalized real number (float or rational) | |
2556 | ;; F Normalized floating-point number | |
2557 | ;; T Normalized rational number | |
2558 | ;; I Normalized integer | |
2559 | ;; B Normalized big integer | |
2560 | ;; S Normalized small integer | |
2561 | ;; D Digit (small integer, 0..999) | |
2562 | ;; L Normalized bignum digit list (without "bigpos" or "bigneg" symbol) | |
2563 | ;; or normalized vector element list (without "vec") | |
2564 | ;; P Predicate (truth value) | |
2565 | ;; X Any Lisp object | |
2566 | ;; Z "nil" | |
2567 | ;; | |
2568 | ;; Lower-case letters signify possibly un-normalized values. | |
2569 | ;; "L.D" means a cons of an L and a D. | |
2570 | ;; [N N; n n] means result will be normalized if argument is. | |
2571 | ;; Also, [Public] marks routines intended to be called from outside. | |
2572 | ;; [This notation has been neglected in many recent routines.] | |
136211a9 | 2573 | |
730576f3 CW |
2574 | (defvar math-eval-rules-cache) |
2575 | (defvar math-eval-rules-cache-other) | |
136211a9 | 2576 | ;;; Reduce an object to canonical (normalized) form. [O o; Z Z] [Public] |
dc781413 JB |
2577 | |
2578 | (defvar math-normalize-a) | |
2579 | (defun math-normalize (math-normalize-a) | |
136211a9 | 2580 | (cond |
dc781413 JB |
2581 | ((not (consp math-normalize-a)) |
2582 | (if (integerp math-normalize-a) | |
2a78421d | 2583 | (if (or (>= math-normalize-a math-small-integer-size) |
a6d107f1 | 2584 | (<= math-normalize-a (- math-small-integer-size))) |
dc781413 JB |
2585 | (math-bignum math-normalize-a) |
2586 | math-normalize-a) | |
2587 | math-normalize-a)) | |
2588 | ((eq (car math-normalize-a) 'bigpos) | |
2589 | (if (eq (nth (1- (length math-normalize-a)) math-normalize-a) 0) | |
2a78421d | 2590 | (let* ((last (setq math-normalize-a |
dc781413 | 2591 | (copy-sequence math-normalize-a))) (digs math-normalize-a)) |
136211a9 EZ |
2592 | (while (setq digs (cdr digs)) |
2593 | (or (eq (car digs) 0) (setq last digs))) | |
2594 | (setcdr last nil))) | |
dc781413 JB |
2595 | (if (cdr (cdr (cdr math-normalize-a))) |
2596 | math-normalize-a | |
136211a9 | 2597 | (cond |
2a78421d JB |
2598 | ((cdr (cdr math-normalize-a)) (+ (nth 1 math-normalize-a) |
2599 | (* (nth 2 math-normalize-a) | |
a6d107f1 | 2600 | math-bignum-digit-size))) |
dc781413 | 2601 | ((cdr math-normalize-a) (nth 1 math-normalize-a)) |
136211a9 | 2602 | (t 0)))) |
dc781413 JB |
2603 | ((eq (car math-normalize-a) 'bigneg) |
2604 | (if (eq (nth (1- (length math-normalize-a)) math-normalize-a) 0) | |
2a78421d | 2605 | (let* ((last (setq math-normalize-a (copy-sequence math-normalize-a))) |
dc781413 | 2606 | (digs math-normalize-a)) |
136211a9 EZ |
2607 | (while (setq digs (cdr digs)) |
2608 | (or (eq (car digs) 0) (setq last digs))) | |
2609 | (setcdr last nil))) | |
dc781413 JB |
2610 | (if (cdr (cdr (cdr math-normalize-a))) |
2611 | math-normalize-a | |
136211a9 | 2612 | (cond |
2a78421d JB |
2613 | ((cdr (cdr math-normalize-a)) (- (+ (nth 1 math-normalize-a) |
2614 | (* (nth 2 math-normalize-a) | |
a6d107f1 | 2615 | math-bignum-digit-size)))) |
dc781413 | 2616 | ((cdr math-normalize-a) (- (nth 1 math-normalize-a))) |
136211a9 | 2617 | (t 0)))) |
dc781413 | 2618 | ((eq (car math-normalize-a) 'float) |
2a78421d | 2619 | (math-make-float (math-normalize (nth 1 math-normalize-a)) |
dc781413 | 2620 | (nth 2 math-normalize-a))) |
2a78421d | 2621 | ((or (memq (car math-normalize-a) |
dc781413 JB |
2622 | '(frac cplx polar hms date mod sdev intv vec var quote |
2623 | special-const calcFunc-if calcFunc-lambda | |
2624 | calcFunc-quote calcFunc-condition | |
2625 | calcFunc-evalto)) | |
2626 | (integerp (car math-normalize-a)) | |
2a78421d | 2627 | (and (consp (car math-normalize-a)) |
dc781413 | 2628 | (not (eq (car (car math-normalize-a)) 'lambda)))) |
ce805efa | 2629 | (require 'calc-ext) |
dc781413 | 2630 | (math-normalize-fancy math-normalize-a)) |
136211a9 EZ |
2631 | (t |
2632 | (or (and calc-simplify-mode | |
ce805efa | 2633 | (require 'calc-ext) |
136211a9 | 2634 | (math-normalize-nonstandard)) |
dc781413 | 2635 | (let ((args (mapcar 'math-normalize (cdr math-normalize-a)))) |
136211a9 | 2636 | (or (condition-case err |
2a78421d | 2637 | (let ((func |
dc781413 JB |
2638 | (assq (car math-normalize-a) '( ( + . math-add ) |
2639 | ( - . math-sub ) | |
2640 | ( * . math-mul ) | |
2641 | ( / . math-div ) | |
2642 | ( % . math-mod ) | |
2643 | ( ^ . math-pow ) | |
2644 | ( neg . math-neg ) | |
2645 | ( | . math-concat ) )))) | |
136211a9 EZ |
2646 | (or (and var-EvalRules |
2647 | (progn | |
2648 | (or (eq var-EvalRules math-eval-rules-cache-tag) | |
2649 | (progn | |
ce805efa | 2650 | (require 'calc-ext) |
136211a9 EZ |
2651 | (math-recompile-eval-rules))) |
2652 | (and (or math-eval-rules-cache-other | |
2a78421d | 2653 | (assq (car math-normalize-a) |
dc781413 | 2654 | math-eval-rules-cache)) |
136211a9 | 2655 | (math-apply-rewrites |
dc781413 | 2656 | (cons (car math-normalize-a) args) |
136211a9 EZ |
2657 | (cdr math-eval-rules-cache) |
2658 | nil math-eval-rules-cache)))) | |
2659 | (if func | |
2660 | (apply (cdr func) args) | |
dc781413 JB |
2661 | (and (or (consp (car math-normalize-a)) |
2662 | (fboundp (car math-normalize-a)) | |
ce805efa JB |
2663 | (and (not (featurep 'calc-ext)) |
2664 | (require 'calc-ext) | |
dc781413 JB |
2665 | (fboundp (car math-normalize-a)))) |
2666 | (apply (car math-normalize-a) args))))) | |
136211a9 EZ |
2667 | (wrong-number-of-arguments |
2668 | (calc-record-why "*Wrong number of arguments" | |
dc781413 | 2669 | (cons (car math-normalize-a) args)) |
136211a9 EZ |
2670 | nil) |
2671 | (wrong-type-argument | |
2a78421d | 2672 | (or calc-next-why |
dc781413 JB |
2673 | (calc-record-why "Wrong type of argument" |
2674 | (cons (car math-normalize-a) args))) | |
136211a9 EZ |
2675 | nil) |
2676 | (args-out-of-range | |
2a78421d | 2677 | (calc-record-why "*Argument out of range" |
dc781413 | 2678 | (cons (car math-normalize-a) args)) |
136211a9 EZ |
2679 | nil) |
2680 | (inexact-result | |
2681 | (calc-record-why "No exact representation for result" | |
dc781413 | 2682 | (cons (car math-normalize-a) args)) |
136211a9 EZ |
2683 | nil) |
2684 | (math-overflow | |
2685 | (calc-record-why "*Floating-point overflow occurred" | |
dc781413 | 2686 | (cons (car math-normalize-a) args)) |
136211a9 EZ |
2687 | nil) |
2688 | (math-underflow | |
2689 | (calc-record-why "*Floating-point underflow occurred" | |
dc781413 | 2690 | (cons (car math-normalize-a) args)) |
136211a9 EZ |
2691 | nil) |
2692 | (void-variable | |
2693 | (if (eq (nth 1 err) 'var-EvalRules) | |
2694 | (progn | |
2695 | (setq var-EvalRules nil) | |
dc781413 | 2696 | (math-normalize (cons (car math-normalize-a) args))) |
136211a9 | 2697 | (calc-record-why "*Variable is void" (nth 1 err))))) |
dc781413 | 2698 | (if (consp (car math-normalize-a)) |
136211a9 | 2699 | (math-dimension-error) |
dc781413 | 2700 | (cons (car math-normalize-a) args)))))))) |
136211a9 EZ |
2701 | |
2702 | ||
2703 | ||
5cb16bfc | 2704 | ;; True if A is a floating-point real or complex number. [P x] [Public] |
136211a9 EZ |
2705 | (defun math-floatp (a) |
2706 | (cond ((eq (car-safe a) 'float) t) | |
2707 | ((memq (car-safe a) '(cplx polar mod sdev intv)) | |
2708 | (or (math-floatp (nth 1 a)) | |
2709 | (math-floatp (nth 2 a)) | |
2710 | (and (eq (car a) 'intv) (math-floatp (nth 3 a))))) | |
2711 | ((eq (car-safe a) 'date) | |
bf77c646 | 2712 | (math-floatp (nth 1 a))))) |
136211a9 EZ |
2713 | |
2714 | ||
2715 | ||
5cb16bfc | 2716 | ;; Verify that A is a complete object and return A. [x x] [Public] |
136211a9 EZ |
2717 | (defun math-check-complete (a) |
2718 | (cond ((integerp a) a) | |
2719 | ((eq (car-safe a) 'incomplete) | |
2720 | (calc-incomplete-error a)) | |
2721 | ((consp a) a) | |
bf77c646 | 2722 | (t (error "Invalid data object encountered")))) |
136211a9 EZ |
2723 | |
2724 | ||
2725 | ||
5cb16bfc | 2726 | ;; Coerce integer A to be a bignum. [B S] |
136211a9 EZ |
2727 | (defun math-bignum (a) |
2728 | (if (>= a 0) | |
2729 | (cons 'bigpos (math-bignum-big a)) | |
bf77c646 | 2730 | (cons 'bigneg (math-bignum-big (- a))))) |
136211a9 EZ |
2731 | |
2732 | (defun math-bignum-big (a) ; [L s] | |
2733 | (if (= a 0) | |
2734 | nil | |
2a78421d | 2735 | (cons (% a math-bignum-digit-size) |
a6d107f1 | 2736 | (math-bignum-big (/ a math-bignum-digit-size))))) |
136211a9 EZ |
2737 | |
2738 | ||
5cb16bfc | 2739 | ;; Build a normalized floating-point number. [F I S] |
136211a9 EZ |
2740 | (defun math-make-float (mant exp) |
2741 | (if (eq mant 0) | |
2742 | '(float 0 0) | |
2743 | (let* ((ldiff (- calc-internal-prec (math-numdigs mant)))) | |
2744 | (if (< ldiff 0) | |
2745 | (setq mant (math-scale-rounding mant ldiff) | |
2746 | exp (- exp ldiff)))) | |
2747 | (if (consp mant) | |
2748 | (let ((digs (cdr mant))) | |
2749 | (if (= (% (car digs) 10) 0) | |
2750 | (progn | |
2751 | (while (= (car digs) 0) | |
2752 | (setq digs (cdr digs) | |
a6d107f1 | 2753 | exp (+ exp math-bignum-digit-length))) |
136211a9 EZ |
2754 | (while (= (% (car digs) 10) 0) |
2755 | (setq digs (math-div10-bignum digs) | |
2756 | exp (1+ exp))) | |
2757 | (setq mant (math-normalize (cons (car mant) digs)))))) | |
2758 | (while (= (% mant 10) 0) | |
2759 | (setq mant (/ mant 10) | |
2760 | exp (1+ exp)))) | |
2761 | (if (and (<= exp -4000000) | |
2762 | (<= (+ exp (math-numdigs mant) -1) -4000000)) | |
2763 | (signal 'math-underflow nil) | |
2764 | (if (and (>= exp 3000000) | |
2765 | (>= (+ exp (math-numdigs mant) -1) 4000000)) | |
2766 | (signal 'math-overflow nil) | |
bf77c646 | 2767 | (list 'float mant exp))))) |
136211a9 EZ |
2768 | |
2769 | (defun math-div10-bignum (a) ; [l l] | |
2770 | (if (cdr a) | |
2a78421d | 2771 | (cons (+ (/ (car a) 10) (* (% (nth 1 a) 10) |
a6d107f1 | 2772 | (expt 10 (1- math-bignum-digit-length)))) |
136211a9 | 2773 | (math-div10-bignum (cdr a))) |
bf77c646 | 2774 | (list (/ (car a) 10)))) |
136211a9 EZ |
2775 | |
2776 | ;;; Coerce A to be a float. [F N; V V] [Public] | |
2777 | (defun math-float (a) | |
2778 | (cond ((Math-integerp a) (math-make-float a 0)) | |
2779 | ((eq (car a) 'frac) (math-div (math-float (nth 1 a)) (nth 2 a))) | |
2780 | ((eq (car a) 'float) a) | |
2781 | ((memq (car a) '(cplx polar vec hms date sdev mod)) | |
2782 | (cons (car a) (mapcar 'math-float (cdr a)))) | |
bf77c646 | 2783 | (t (math-float-fancy a)))) |
136211a9 EZ |
2784 | |
2785 | ||
2786 | (defun math-neg (a) | |
2787 | (cond ((not (consp a)) (- a)) | |
2788 | ((eq (car a) 'bigpos) (cons 'bigneg (cdr a))) | |
2789 | ((eq (car a) 'bigneg) (cons 'bigpos (cdr a))) | |
2790 | ((memq (car a) '(frac float)) | |
2791 | (list (car a) (Math-integer-neg (nth 1 a)) (nth 2 a))) | |
2792 | ((memq (car a) '(cplx vec hms date calcFunc-idn)) | |
2793 | (cons (car a) (mapcar 'math-neg (cdr a)))) | |
bf77c646 | 2794 | (t (math-neg-fancy a)))) |
136211a9 EZ |
2795 | |
2796 | ||
2797 | ;;; Compute the number of decimal digits in integer A. [S I] | |
2798 | (defun math-numdigs (a) | |
2799 | (if (consp a) | |
2800 | (if (cdr a) | |
2801 | (let* ((len (1- (length a))) | |
2802 | (top (nth len a))) | |
a6d107f1 | 2803 | (+ (* (1- len) math-bignum-digit-length) (math-numdigs top))) |
136211a9 EZ |
2804 | 0) |
2805 | (cond ((>= a 100) (+ (math-numdigs (/ a 1000)) 3)) | |
2806 | ((>= a 10) 2) | |
2807 | ((>= a 1) 1) | |
2808 | ((= a 0) 0) | |
2809 | ((> a -10) 1) | |
2810 | ((> a -100) 2) | |
bf77c646 | 2811 | (t (math-numdigs (- a)))))) |
136211a9 EZ |
2812 | |
2813 | ;;; Multiply (with truncation toward 0) the integer A by 10^N. [I i S] | |
2814 | (defun math-scale-int (a n) | |
2815 | (cond ((= n 0) a) | |
2816 | ((> n 0) (math-scale-left a n)) | |
bf77c646 | 2817 | (t (math-normalize (math-scale-right a (- n)))))) |
136211a9 EZ |
2818 | |
2819 | (defun math-scale-left (a n) ; [I I S] | |
2820 | (if (= n 0) | |
2821 | a | |
2822 | (if (consp a) | |
2823 | (cons (car a) (math-scale-left-bignum (cdr a) n)) | |
a6d107f1 | 2824 | (if (>= n math-bignum-digit-length) |
2a78421d | 2825 | (if (or (>= a math-bignum-digit-size) |
a6d107f1 | 2826 | (<= a (- math-bignum-digit-size))) |
136211a9 | 2827 | (math-scale-left (math-bignum a) n) |
2a78421d | 2828 | (math-scale-left (* a math-bignum-digit-size) |
a6d107f1 JB |
2829 | (- n math-bignum-digit-length))) |
2830 | (let ((sz (expt 10 (- (* 2 math-bignum-digit-length) n)))) | |
2831 | (if (or (>= a sz) (<= a (- sz))) | |
2832 | (math-scale-left (math-bignum a) n) | |
2833 | (* a (expt 10 n)))))))) | |
136211a9 EZ |
2834 | |
2835 | (defun math-scale-left-bignum (a n) | |
a6d107f1 | 2836 | (if (>= n math-bignum-digit-length) |
136211a9 | 2837 | (while (>= (setq a (cons 0 a) |
2a78421d | 2838 | n (- n math-bignum-digit-length)) |
a6d107f1 | 2839 | math-bignum-digit-length))) |
136211a9 | 2840 | (if (> n 0) |
a6d107f1 | 2841 | (math-mul-bignum-digit a (expt 10 n) 0) |
bf77c646 | 2842 | a)) |
136211a9 EZ |
2843 | |
2844 | (defun math-scale-right (a n) ; [i i S] | |
2845 | (if (= n 0) | |
2846 | a | |
2847 | (if (consp a) | |
2848 | (cons (car a) (math-scale-right-bignum (cdr a) n)) | |
2849 | (if (<= a 0) | |
2850 | (if (= a 0) | |
2851 | 0 | |
2852 | (- (math-scale-right (- a) n))) | |
a6d107f1 JB |
2853 | (if (>= n math-bignum-digit-length) |
2854 | (while (and (> (setq a (/ a math-bignum-digit-size)) 0) | |
2a78421d | 2855 | (>= (setq n (- n math-bignum-digit-length)) |
a6d107f1 JB |
2856 | math-bignum-digit-length)))) |
2857 | (if (> n 0) | |
2858 | (/ a (expt 10 n)) | |
2859 | a))))) | |
136211a9 EZ |
2860 | |
2861 | (defun math-scale-right-bignum (a n) ; [L L S; l l S] | |
a6d107f1 JB |
2862 | (if (>= n math-bignum-digit-length) |
2863 | (setq a (nthcdr (/ n math-bignum-digit-length) a) | |
2864 | n (% n math-bignum-digit-length))) | |
136211a9 | 2865 | (if (> n 0) |
a6d107f1 | 2866 | (cdr (math-mul-bignum-digit a (expt 10 (- math-bignum-digit-length n)) 0)) |
bf77c646 | 2867 | a)) |
136211a9 EZ |
2868 | |
2869 | ;;; Multiply (with rounding) the integer A by 10^N. [I i S] | |
2870 | (defun math-scale-rounding (a n) | |
2871 | (cond ((>= n 0) | |
2872 | (math-scale-left a n)) | |
2873 | ((consp a) | |
2874 | (math-normalize | |
2875 | (cons (car a) | |
a6d107f1 | 2876 | (let ((val (if (< n (- math-bignum-digit-length)) |
2a78421d JB |
2877 | (math-scale-right-bignum |
2878 | (cdr a) | |
a6d107f1 JB |
2879 | (- (- math-bignum-digit-length) n)) |
2880 | (if (< n 0) | |
2a78421d JB |
2881 | (math-mul-bignum-digit |
2882 | (cdr a) | |
a6d107f1 JB |
2883 | (expt 10 (+ math-bignum-digit-length n)) 0) |
2884 | (cdr a))))) ; n = -math-bignum-digit-length | |
2885 | (if (and val (>= (car val) (/ math-bignum-digit-size 2))) | |
136211a9 | 2886 | (if (cdr val) |
a6d107f1 | 2887 | (if (eq (car (cdr val)) (1- math-bignum-digit-size)) |
136211a9 EZ |
2888 | (math-add-bignum (cdr val) '(1)) |
2889 | (cons (1+ (car (cdr val))) (cdr (cdr val)))) | |
2890 | '(1)) | |
2891 | (cdr val)))))) | |
2892 | (t | |
2893 | (if (< a 0) | |
2894 | (- (math-scale-rounding (- a) n)) | |
2895 | (if (= n -1) | |
2896 | (/ (+ a 5) 10) | |
bf77c646 | 2897 | (/ (+ (math-scale-right a (- -1 n)) 5) 10)))))) |
136211a9 EZ |
2898 | |
2899 | ||
2900 | ;;; Compute the sum of A and B. [O O O] [Public] | |
2901 | (defun math-add (a b) | |
2902 | (or | |
2903 | (and (not (or (consp a) (consp b))) | |
2904 | (progn | |
2905 | (setq a (+ a b)) | |
a6d107f1 | 2906 | (if (or (<= a (- math-small-integer-size)) (>= a math-small-integer-size)) |
136211a9 EZ |
2907 | (math-bignum a) |
2908 | a))) | |
2909 | (and (Math-zerop a) (not (eq (car-safe a) 'mod)) | |
2910 | (if (and (math-floatp a) (Math-ratp b)) (math-float b) b)) | |
2911 | (and (Math-zerop b) (not (eq (car-safe b) 'mod)) | |
2912 | (if (and (math-floatp b) (Math-ratp a)) (math-float a) a)) | |
2913 | (and (Math-objvecp a) (Math-objvecp b) | |
2914 | (or | |
2915 | (and (Math-integerp a) (Math-integerp b) | |
2916 | (progn | |
2917 | (or (consp a) (setq a (math-bignum a))) | |
2918 | (or (consp b) (setq b (math-bignum b))) | |
2919 | (if (eq (car a) 'bigneg) | |
2920 | (if (eq (car b) 'bigneg) | |
2921 | (cons 'bigneg (math-add-bignum (cdr a) (cdr b))) | |
2922 | (math-normalize | |
2923 | (let ((diff (math-sub-bignum (cdr b) (cdr a)))) | |
2924 | (if (eq diff 'neg) | |
2925 | (cons 'bigneg (math-sub-bignum (cdr a) (cdr b))) | |
2926 | (cons 'bigpos diff))))) | |
2927 | (if (eq (car b) 'bigneg) | |
2928 | (math-normalize | |
2929 | (let ((diff (math-sub-bignum (cdr a) (cdr b)))) | |
2930 | (if (eq diff 'neg) | |
2931 | (cons 'bigneg (math-sub-bignum (cdr b) (cdr a))) | |
2932 | (cons 'bigpos diff)))) | |
2933 | (cons 'bigpos (math-add-bignum (cdr a) (cdr b))))))) | |
2934 | (and (Math-ratp a) (Math-ratp b) | |
ce805efa | 2935 | (require 'calc-ext) |
136211a9 EZ |
2936 | (calc-add-fractions a b)) |
2937 | (and (Math-realp a) (Math-realp b) | |
2938 | (progn | |
2939 | (or (and (consp a) (eq (car a) 'float)) | |
2940 | (setq a (math-float a))) | |
2941 | (or (and (consp b) (eq (car b) 'float)) | |
2942 | (setq b (math-float b))) | |
2943 | (math-add-float a b))) | |
ce805efa | 2944 | (and (require 'calc-ext) |
136211a9 | 2945 | (math-add-objects-fancy a b)))) |
ce805efa | 2946 | (and (require 'calc-ext) |
bf77c646 | 2947 | (math-add-symb-fancy a b)))) |
136211a9 EZ |
2948 | |
2949 | (defun math-add-bignum (a b) ; [L L L; l l l] | |
2950 | (if a | |
2951 | (if b | |
2952 | (let* ((a (copy-sequence a)) (aa a) (carry nil) sum) | |
2953 | (while (and aa b) | |
2954 | (if carry | |
2a78421d | 2955 | (if (< (setq sum (+ (car aa) (car b))) |
a6d107f1 | 2956 | (1- math-bignum-digit-size)) |
136211a9 EZ |
2957 | (progn |
2958 | (setcar aa (1+ sum)) | |
2959 | (setq carry nil)) | |
9ae06d96 | 2960 | (setcar aa (- sum (1- math-bignum-digit-size)))) |
a6d107f1 | 2961 | (if (< (setq sum (+ (car aa) (car b))) math-bignum-digit-size) |
136211a9 | 2962 | (setcar aa sum) |
a6d107f1 | 2963 | (setcar aa (- sum math-bignum-digit-size)) |
136211a9 EZ |
2964 | (setq carry t))) |
2965 | (setq aa (cdr aa) | |
2966 | b (cdr b))) | |
2967 | (if carry | |
2968 | (if b | |
2969 | (nconc a (math-add-bignum b '(1))) | |
9ae06d96 | 2970 | (while (eq (car aa) (1- math-bignum-digit-size)) |
136211a9 EZ |
2971 | (setcar aa 0) |
2972 | (setq aa (cdr aa))) | |
2973 | (if aa | |
2974 | (progn | |
2975 | (setcar aa (1+ (car aa))) | |
2976 | a) | |
2977 | (nconc a '(1)))) | |
2978 | (if b | |
2979 | (nconc a b) | |
2980 | a))) | |
2981 | a) | |
bf77c646 | 2982 | b)) |
136211a9 EZ |
2983 | |
2984 | (defun math-sub-bignum (a b) ; [l l l] | |
2985 | (if b | |
2986 | (if a | |
730576f3 | 2987 | (let* ((a (copy-sequence a)) (aa a) (borrow nil) sum diff) |
136211a9 EZ |
2988 | (while (and aa b) |
2989 | (if borrow | |
2990 | (if (>= (setq diff (- (car aa) (car b))) 1) | |
2991 | (progn | |
2992 | (setcar aa (1- diff)) | |
2993 | (setq borrow nil)) | |
a6d107f1 | 2994 | (setcar aa (+ diff (1- math-bignum-digit-size)))) |
136211a9 EZ |
2995 | (if (>= (setq diff (- (car aa) (car b))) 0) |
2996 | (setcar aa diff) | |
a6d107f1 | 2997 | (setcar aa (+ diff math-bignum-digit-size)) |
136211a9 EZ |
2998 | (setq borrow t))) |
2999 | (setq aa (cdr aa) | |
3000 | b (cdr b))) | |
3001 | (if borrow | |
3002 | (progn | |
3003 | (while (eq (car aa) 0) | |
a6d107f1 | 3004 | (setcar aa (1- math-bignum-digit-size)) |
136211a9 EZ |
3005 | (setq aa (cdr aa))) |
3006 | (if aa | |
3007 | (progn | |
3008 | (setcar aa (1- (car aa))) | |
3009 | a) | |
3010 | 'neg)) | |
3011 | (while (eq (car b) 0) | |
3012 | (setq b (cdr b))) | |
3013 | (if b | |
3014 | 'neg | |
3015 | a))) | |
3016 | (while (eq (car b) 0) | |
3017 | (setq b (cdr b))) | |
3018 | (and b | |
3019 | 'neg)) | |
bf77c646 | 3020 | a)) |
136211a9 EZ |
3021 | |
3022 | (defun math-add-float (a b) ; [F F F] | |
3023 | (let ((ediff (- (nth 2 a) (nth 2 b)))) | |
3024 | (if (>= ediff 0) | |
3025 | (if (>= ediff (+ calc-internal-prec calc-internal-prec)) | |
3026 | a | |
3027 | (math-make-float (math-add (nth 1 b) | |
3028 | (if (eq ediff 0) | |
3029 | (nth 1 a) | |
3030 | (math-scale-left (nth 1 a) ediff))) | |
3031 | (nth 2 b))) | |
3032 | (if (>= (setq ediff (- ediff)) | |
3033 | (+ calc-internal-prec calc-internal-prec)) | |
3034 | b | |
3035 | (math-make-float (math-add (nth 1 a) | |
3036 | (math-scale-left (nth 1 b) ediff)) | |
bf77c646 | 3037 | (nth 2 a)))))) |
136211a9 EZ |
3038 | |
3039 | ;;; Compute the difference of A and B. [O O O] [Public] | |
3040 | (defun math-sub (a b) | |
3041 | (if (or (consp a) (consp b)) | |
3042 | (math-add a (math-neg b)) | |
3043 | (setq a (- a b)) | |
a6d107f1 | 3044 | (if (or (<= a (- math-small-integer-size)) (>= a math-small-integer-size)) |
136211a9 | 3045 | (math-bignum a) |
bf77c646 | 3046 | a))) |
136211a9 EZ |
3047 | |
3048 | (defun math-sub-float (a b) ; [F F F] | |
3049 | (let ((ediff (- (nth 2 a) (nth 2 b)))) | |
3050 | (if (>= ediff 0) | |
3051 | (if (>= ediff (+ calc-internal-prec calc-internal-prec)) | |
3052 | a | |
3053 | (math-make-float (math-add (Math-integer-neg (nth 1 b)) | |
3054 | (if (eq ediff 0) | |
3055 | (nth 1 a) | |
3056 | (math-scale-left (nth 1 a) ediff))) | |
3057 | (nth 2 b))) | |
3058 | (if (>= (setq ediff (- ediff)) | |
3059 | (+ calc-internal-prec calc-internal-prec)) | |
3060 | b | |
3061 | (math-make-float (math-add (nth 1 a) | |
3062 | (Math-integer-neg | |
3063 | (math-scale-left (nth 1 b) ediff))) | |
bf77c646 | 3064 | (nth 2 a)))))) |
136211a9 EZ |
3065 | |
3066 | ||
3067 | ;;; Compute the product of A and B. [O O O] [Public] | |
3068 | (defun math-mul (a b) | |
3069 | (or | |
3070 | (and (not (consp a)) (not (consp b)) | |
2a78421d | 3071 | (< a math-bignum-digit-size) (> a (- math-bignum-digit-size)) |
a6d107f1 | 3072 | (< b math-bignum-digit-size) (> b (- math-bignum-digit-size)) |
136211a9 EZ |
3073 | (* a b)) |
3074 | (and (Math-zerop a) (not (eq (car-safe b) 'mod)) | |
3075 | (if (Math-scalarp b) | |
3076 | (if (and (math-floatp b) (Math-ratp a)) (math-float a) a) | |
ce805efa | 3077 | (require 'calc-ext) |
136211a9 EZ |
3078 | (math-mul-zero a b))) |
3079 | (and (Math-zerop b) (not (eq (car-safe a) 'mod)) | |
3080 | (if (Math-scalarp a) | |
3081 | (if (and (math-floatp a) (Math-ratp b)) (math-float b) b) | |
ce805efa | 3082 | (require 'calc-ext) |
136211a9 EZ |
3083 | (math-mul-zero b a))) |
3084 | (and (Math-objvecp a) (Math-objvecp b) | |
3085 | (or | |
3086 | (and (Math-integerp a) (Math-integerp b) | |
3087 | (progn | |
3088 | (or (consp a) (setq a (math-bignum a))) | |
3089 | (or (consp b) (setq b (math-bignum b))) | |
3090 | (math-normalize | |
3091 | (cons (if (eq (car a) (car b)) 'bigpos 'bigneg) | |
3092 | (if (cdr (cdr a)) | |
3093 | (if (cdr (cdr b)) | |
3094 | (math-mul-bignum (cdr a) (cdr b)) | |
3095 | (math-mul-bignum-digit (cdr a) (nth 1 b) 0)) | |
3096 | (math-mul-bignum-digit (cdr b) (nth 1 a) 0)))))) | |
3097 | (and (Math-ratp a) (Math-ratp b) | |
ce805efa | 3098 | (require 'calc-ext) |
136211a9 EZ |
3099 | (calc-mul-fractions a b)) |
3100 | (and (Math-realp a) (Math-realp b) | |
3101 | (progn | |
3102 | (or (and (consp a) (eq (car a) 'float)) | |
3103 | (setq a (math-float a))) | |
3104 | (or (and (consp b) (eq (car b) 'float)) | |
3105 | (setq b (math-float b))) | |
3106 | (math-make-float (math-mul (nth 1 a) (nth 1 b)) | |
3107 | (+ (nth 2 a) (nth 2 b))))) | |
ce805efa | 3108 | (and (require 'calc-ext) |
136211a9 | 3109 | (math-mul-objects-fancy a b)))) |
ce805efa | 3110 | (and (require 'calc-ext) |
bf77c646 | 3111 | (math-mul-symb-fancy a b)))) |
136211a9 EZ |
3112 | |
3113 | (defun math-infinitep (a &optional undir) | |
3114 | (while (and (consp a) (memq (car a) '(* / neg))) | |
3115 | (if (or (not (eq (car a) '*)) (math-infinitep (nth 1 a))) | |
3116 | (setq a (nth 1 a)) | |
3117 | (setq a (nth 2 a)))) | |
3118 | (and (consp a) | |
3119 | (eq (car a) 'var) | |
3120 | (memq (nth 2 a) '(var-inf var-uinf var-nan)) | |
3121 | (if (and undir (eq (nth 2 a) 'var-inf)) | |
3122 | '(var uinf var-uinf) | |
bf77c646 | 3123 | a))) |
136211a9 EZ |
3124 | |
3125 | ;;; Multiply digit lists A and B. [L L L; l l l] | |
3126 | (defun math-mul-bignum (a b) | |
3127 | (and a b | |
3128 | (let* ((sum (if (<= (car b) 1) | |
3129 | (if (= (car b) 0) | |
3130 | (list 0) | |
3131 | (copy-sequence a)) | |
3132 | (math-mul-bignum-digit a (car b) 0))) | |
3133 | (sump sum) c d aa ss prod) | |
3134 | (while (setq b (cdr b)) | |
3135 | (setq ss (setq sump (or (cdr sump) (setcdr sump (list 0)))) | |
3136 | d (car b) | |
3137 | c 0 | |
3138 | aa a) | |
3139 | (while (progn | |
3140 | (setcar ss (% (setq prod (+ (+ (car ss) (* (car aa) d)) | |
a6d107f1 | 3141 | c)) math-bignum-digit-size)) |
136211a9 | 3142 | (setq aa (cdr aa))) |
a6d107f1 | 3143 | (setq c (/ prod math-bignum-digit-size) |
136211a9 | 3144 | ss (or (cdr ss) (setcdr ss (list 0))))) |
a6d107f1 | 3145 | (if (>= prod math-bignum-digit-size) |
136211a9 | 3146 | (if (cdr ss) |
a6d107f1 JB |
3147 | (setcar (cdr ss) (+ (/ prod math-bignum-digit-size) (car (cdr ss)))) |
3148 | (setcdr ss (list (/ prod math-bignum-digit-size)))))) | |
bf77c646 | 3149 | sum))) |
136211a9 EZ |
3150 | |
3151 | ;;; Multiply digit list A by digit D. [L L D D; l l D D] | |
3152 | (defun math-mul-bignum-digit (a d c) | |
3153 | (if a | |
3154 | (if (<= d 1) | |
3155 | (and (= d 1) a) | |
3156 | (let* ((a (copy-sequence a)) (aa a) prod) | |
3157 | (while (progn | |
2a78421d JB |
3158 | (setcar aa |
3159 | (% (setq prod (+ (* (car aa) d) c)) | |
a6d107f1 | 3160 | math-bignum-digit-size)) |
136211a9 EZ |
3161 | (cdr aa)) |
3162 | (setq aa (cdr aa) | |
a6d107f1 JB |
3163 | c (/ prod math-bignum-digit-size))) |
3164 | (if (>= prod math-bignum-digit-size) | |
3165 | (setcdr aa (list (/ prod math-bignum-digit-size)))) | |
136211a9 EZ |
3166 | a)) |
3167 | (and (> c 0) | |
bf77c646 | 3168 | (list c)))) |
136211a9 EZ |
3169 | |
3170 | ||
3171 | ;;; Compute the integer (quotient . remainder) of A and B, which may be | |
3172 | ;;; small or big integers. Type and consistency of truncation is undefined | |
3173 | ;;; if A or B is negative. B must be nonzero. [I.I I I] [Public] | |
3174 | (defun math-idivmod (a b) | |
3175 | (if (eq b 0) | |
3176 | (math-reject-arg a "*Division by zero")) | |
3177 | (if (or (consp a) (consp b)) | |
a6d107f1 | 3178 | (if (and (natnump b) (< b math-bignum-digit-size)) |
136211a9 EZ |
3179 | (let ((res (math-div-bignum-digit (cdr a) b))) |
3180 | (cons | |
3181 | (math-normalize (cons (car a) (car res))) | |
3182 | (cdr res))) | |
3183 | (or (consp a) (setq a (math-bignum a))) | |
3184 | (or (consp b) (setq b (math-bignum b))) | |
3185 | (let ((res (math-div-bignum (cdr a) (cdr b)))) | |
3186 | (cons | |
3187 | (math-normalize (cons (if (eq (car a) (car b)) 'bigpos 'bigneg) | |
3188 | (car res))) | |
3189 | (math-normalize (cons (car a) (cdr res)))))) | |
bf77c646 | 3190 | (cons (/ a b) (% a b)))) |
136211a9 EZ |
3191 | |
3192 | (defun math-quotient (a b) ; [I I I] [Public] | |
3193 | (if (and (not (consp a)) (not (consp b))) | |
3194 | (if (= b 0) | |
3195 | (math-reject-arg a "*Division by zero") | |
3196 | (/ a b)) | |
a6d107f1 | 3197 | (if (and (natnump b) (< b math-bignum-digit-size)) |
136211a9 EZ |
3198 | (if (= b 0) |
3199 | (math-reject-arg a "*Division by zero") | |
3200 | (math-normalize (cons (car a) | |
3201 | (car (math-div-bignum-digit (cdr a) b))))) | |
3202 | (or (consp a) (setq a (math-bignum a))) | |
3203 | (or (consp b) (setq b (math-bignum b))) | |
3204 | (let* ((alen (1- (length a))) | |
3205 | (blen (1- (length b))) | |
a6d107f1 | 3206 | (d (/ math-bignum-digit-size (1+ (nth (1- blen) (cdr b))))) |
136211a9 EZ |
3207 | (res (math-div-bignum-big (math-mul-bignum-digit (cdr a) d 0) |
3208 | (math-mul-bignum-digit (cdr b) d 0) | |
3209 | alen blen))) | |
3210 | (math-normalize (cons (if (eq (car a) (car b)) 'bigpos 'bigneg) | |
bf77c646 | 3211 | (car res))))))) |
136211a9 EZ |
3212 | |
3213 | ||
3214 | ;;; Divide a bignum digit list by another. [l.l l L] | |
3215 | ;;; The following division algorithm is borrowed from Knuth vol. II, sec. 4.3.1 | |
3216 | (defun math-div-bignum (a b) | |
3217 | (if (cdr b) | |
3218 | (let* ((alen (length a)) | |
3219 | (blen (length b)) | |
a6d107f1 | 3220 | (d (/ math-bignum-digit-size (1+ (nth (1- blen) b)))) |
136211a9 EZ |
3221 | (res (math-div-bignum-big (math-mul-bignum-digit a d 0) |
3222 | (math-mul-bignum-digit b d 0) | |
3223 | alen blen))) | |
3224 | (if (= d 1) | |
3225 | res | |
3226 | (cons (car res) | |
3227 | (car (math-div-bignum-digit (cdr res) d))))) | |
3228 | (let ((res (math-div-bignum-digit a (car b)))) | |
bf77c646 | 3229 | (cons (car res) (list (cdr res)))))) |
136211a9 EZ |
3230 | |
3231 | ;;; Divide a bignum digit list by a digit. [l.D l D] | |
3232 | (defun math-div-bignum-digit (a b) | |
3233 | (if a | |
3234 | (let* ((res (math-div-bignum-digit (cdr a) b)) | |
a6d107f1 | 3235 | (num (+ (* (cdr res) math-bignum-digit-size) (car a)))) |
136211a9 EZ |
3236 | (cons |
3237 | (cons (/ num b) (car res)) | |
3238 | (% num b))) | |
bf77c646 | 3239 | '(nil . 0))) |
136211a9 EZ |
3240 | |
3241 | (defun math-div-bignum-big (a b alen blen) ; [l.l l L] | |
3242 | (if (< alen blen) | |
3243 | (cons nil a) | |
3244 | (let* ((res (math-div-bignum-big (cdr a) b (1- alen) blen)) | |
3245 | (num (cons (car a) (cdr res))) | |
3246 | (res2 (math-div-bignum-part num b blen))) | |
3247 | (cons | |
3248 | (cons (car res2) (car res)) | |
bf77c646 | 3249 | (cdr res2))))) |
136211a9 | 3250 | |
a6d107f1 | 3251 | (defun math-div-bignum-part (a b blen) ; a < b*math-bignum-digit-size [D.l l L] |
2a78421d | 3252 | (let* ((num (+ (* (or (nth blen a) 0) math-bignum-digit-size) |
a6d107f1 | 3253 | (or (nth (1- blen) a) 0))) |
136211a9 | 3254 | (den (nth (1- blen) b)) |
a6d107f1 | 3255 | (guess (min (/ num den) (1- math-bignum-digit-size)))) |
bf77c646 | 3256 | (math-div-bignum-try a b (math-mul-bignum-digit b guess 0) guess))) |
136211a9 EZ |
3257 | |
3258 | (defun math-div-bignum-try (a b c guess) ; [D.l l l D] | |
3259 | (let ((rem (math-sub-bignum a c))) | |
3260 | (if (eq rem 'neg) | |
3261 | (math-div-bignum-try a b (math-sub-bignum c b) (1- guess)) | |
bf77c646 | 3262 | (cons guess rem)))) |
136211a9 EZ |
3263 | |
3264 | ||
3265 | ;;; Compute the quotient of A and B. [O O N] [Public] | |
3266 | (defun math-div (a b) | |
3267 | (or | |
3268 | (and (Math-zerop b) | |
ce805efa | 3269 | (require 'calc-ext) |
136211a9 EZ |
3270 | (math-div-by-zero a b)) |
3271 | (and (Math-zerop a) (not (eq (car-safe b) 'mod)) | |
3272 | (if (Math-scalarp b) | |
3273 | (if (and (math-floatp b) (Math-ratp a)) (math-float a) a) | |
ce805efa | 3274 | (require 'calc-ext) |
136211a9 EZ |
3275 | (math-div-zero a b))) |
3276 | (and (Math-objvecp a) (Math-objvecp b) | |
3277 | (or | |
3278 | (and (Math-integerp a) (Math-integerp b) | |
3279 | (let ((q (math-idivmod a b))) | |
3280 | (if (eq (cdr q) 0) | |
3281 | (car q) | |
3282 | (if calc-prefer-frac | |
3283 | (progn | |
ce805efa | 3284 | (require 'calc-ext) |
136211a9 EZ |
3285 | (math-make-frac a b)) |
3286 | (math-div-float (math-make-float a 0) | |
3287 | (math-make-float b 0)))))) | |
3288 | (and (Math-ratp a) (Math-ratp b) | |
ce805efa | 3289 | (require 'calc-ext) |
136211a9 EZ |
3290 | (calc-div-fractions a b)) |
3291 | (and (Math-realp a) (Math-realp b) | |
3292 | (progn | |
3293 | (or (and (consp a) (eq (car a) 'float)) | |
3294 | (setq a (math-float a))) | |
3295 | (or (and (consp b) (eq (car b) 'float)) | |
3296 | (setq b (math-float b))) | |
3297 | (math-div-float a b))) | |
ce805efa | 3298 | (and (require 'calc-ext) |
136211a9 | 3299 | (math-div-objects-fancy a b)))) |
ce805efa | 3300 | (and (require 'calc-ext) |
bf77c646 | 3301 | (math-div-symb-fancy a b)))) |
136211a9 EZ |
3302 | |
3303 | (defun math-div-float (a b) ; [F F F] | |
3304 | (let ((ldiff (max (- (1+ calc-internal-prec) | |
3305 | (- (math-numdigs (nth 1 a)) (math-numdigs (nth 1 b)))) | |
3306 | 0))) | |
3307 | (math-make-float (math-quotient (math-scale-int (nth 1 a) ldiff) (nth 1 b)) | |
bf77c646 | 3308 | (- (- (nth 2 a) (nth 2 b)) ldiff)))) |
136211a9 EZ |
3309 | |
3310 | ||
3311 | ||
3312 | ||
730576f3 | 3313 | (defvar calc-selection-cache-entry) |
136211a9 EZ |
3314 | ;;; Format the number A as a string. [X N; X Z] [Public] |
3315 | (defun math-format-stack-value (entry) | |
3316 | (setq calc-selection-cache-entry calc-selection-cache-default-entry) | |
3317 | (let* ((a (car entry)) | |
3318 | (math-comp-selected (nth 2 entry)) | |
3319 | (c (cond ((null a) "<nil>") | |
3320 | ((eq calc-display-raw t) (format "%s" a)) | |
3321 | ((stringp a) a) | |
cd012309 | 3322 | ((eq a 'top-of-stack) (propertize "." 'font-lock-face 'bold)) |
136211a9 EZ |
3323 | (calc-prepared-composition |
3324 | calc-prepared-composition) | |
3325 | ((and (Math-scalarp a) | |
3326 | (memq calc-language '(nil flat unform)) | |
3327 | (null math-comp-selected)) | |
3328 | (math-format-number a)) | |
ce805efa | 3329 | (t (require 'calc-ext) |
136211a9 EZ |
3330 | (math-compose-expr a 0)))) |
3331 | (off (math-stack-value-offset c)) | |
3332 | s w) | |
3333 | (and math-comp-selected (setq calc-any-selections t)) | |
3334 | (setq w (cdr off) | |
3335 | off (car off)) | |
cd012309 | 3336 | (when (> off 0) |
111a5355 | 3337 | (setq c (math-comp-concat (make-string off ?\s) c))) |
136211a9 EZ |
3338 | (or (equal calc-left-label "") |
3339 | (setq c (math-comp-concat (if (eq a 'top-of-stack) | |
111a5355 | 3340 | (make-string (length calc-left-label) ?\s) |
136211a9 EZ |
3341 | calc-left-label) |
3342 | c))) | |
cd012309 CW |
3343 | (when calc-line-numbering |
3344 | (setq c (math-comp-concat (if (eq calc-language 'big) | |
2363bd8d DK |
3345 | (if math-comp-selected |
3346 | '(tag t "1: ") | |
3347 | "1: ") | |
cd012309 CW |
3348 | " ") |
3349 | c))) | |
3350 | (unless (or (equal calc-right-label "") | |
3351 | (eq a 'top-of-stack)) | |
ce805efa | 3352 | (require 'calc-ext) |
cd012309 CW |
3353 | (setq c (list 'horiz c |
3354 | (make-string (max (- w (math-comp-width c) | |
111a5355 | 3355 | (length calc-right-label)) 0) ?\s) |
cd012309 CW |
3356 | '(break -1) |
3357 | calc-right-label))) | |
136211a9 EZ |
3358 | (setq s (if (stringp c) |
3359 | (if calc-display-raw | |
3360 | (prin1-to-string c) | |
3361 | c) | |
3362 | (math-composition-to-string c w))) | |
cd012309 CW |
3363 | (when calc-language-output-filter |
3364 | (setq s (funcall calc-language-output-filter s))) | |
136211a9 EZ |
3365 | (if (eq calc-language 'big) |
3366 | (setq s (concat s "\n")) | |
cd012309 | 3367 | (when calc-line-numbering |
6a3ed064 | 3368 | (setq s (concat "1:" (substring s 2))))) |
136211a9 | 3369 | (setcar (cdr entry) (calc-count-lines s)) |
bf77c646 | 3370 | s)) |
136211a9 | 3371 | |
f0a35df4 JB |
3372 | ;; The variables math-svo-c, math-svo-wid and math-svo-off are local |
3373 | ;; to math-stack-value-offset, but are used by math-stack-value-offset-fancy | |
3374 | ;; in calccomp.el. | |
3375 | ||
3376 | (defun math-stack-value-offset (math-svo-c) | |
136211a9 | 3377 | (let* ((num (if calc-line-numbering 4 0)) |
f0a35df4 JB |
3378 | (math-svo-wid (calc-window-width)) |
3379 | math-svo-off) | |
136211a9 EZ |
3380 | (if calc-display-just |
3381 | (progn | |
ce805efa | 3382 | (require 'calc-ext) |
136211a9 | 3383 | (math-stack-value-offset-fancy)) |
f0a35df4 | 3384 | (setq math-svo-off (or calc-display-origin 0)) |
cd012309 | 3385 | (when (integerp calc-line-breaking) |
f0a35df4 JB |
3386 | (setq math-svo-wid calc-line-breaking))) |
3387 | (cons (max (- math-svo-off (length calc-left-label)) 0) | |
3388 | (+ math-svo-wid num)))) | |
136211a9 EZ |
3389 | |
3390 | (defun calc-count-lines (s) | |
3391 | (let ((pos 0) | |
3392 | (num 1)) | |
730576f3 CW |
3393 | (while (setq pos (string-match "\n" s pos)) |
3394 | (setq pos (1+ pos) | |
136211a9 | 3395 | num (1+ num))) |
bf77c646 | 3396 | num)) |
136211a9 EZ |
3397 | |
3398 | (defun math-format-value (a &optional w) | |
3399 | (if (and (Math-scalarp a) | |
3400 | (memq calc-language '(nil flat unform))) | |
3401 | (math-format-number a) | |
ce805efa | 3402 | (require 'calc-ext) |
136211a9 | 3403 | (let ((calc-line-breaking nil)) |
bf77c646 | 3404 | (math-composition-to-string (math-compose-expr a 0) w)))) |
136211a9 EZ |
3405 | |
3406 | (defun calc-window-width () | |
3407 | (if calc-embedded-info | |
3408 | (let ((win (get-buffer-window (aref calc-embedded-info 0)))) | |
31b85a14 | 3409 | (1- (if win (window-width win) (frame-width)))) |
136211a9 | 3410 | (- (window-width (get-buffer-window (current-buffer))) |
bf77c646 | 3411 | (if calc-line-numbering 5 1)))) |
136211a9 EZ |
3412 | |
3413 | (defun math-comp-concat (c1 c2) | |
3414 | (if (and (stringp c1) (stringp c2)) | |
3415 | (concat c1 c2) | |
bf77c646 | 3416 | (list 'horiz c1 c2))) |
136211a9 EZ |
3417 | |
3418 | ||
3419 | ||
3420 | ;;; Format an expression as a one-line string suitable for re-reading. | |
3421 | ||
3422 | (defun math-format-flat-expr (a prec) | |
3423 | (cond | |
3424 | ((or (not (or (consp a) (integerp a))) | |
3425 | (eq calc-display-raw t)) | |
3426 | (let ((print-escape-newlines t)) | |
3427 | (concat "'" (prin1-to-string a)))) | |
3428 | ((Math-scalarp a) | |
3429 | (let ((calc-group-digits nil) | |
3430 | (calc-point-char ".") | |
3431 | (calc-frac-format (if (> (length (car calc-frac-format)) 1) | |
3432 | '("::" nil) '(":" nil))) | |
3433 | (calc-complex-format nil) | |
3434 | (calc-hms-format "%s@ %s' %s\"") | |
3435 | (calc-language nil)) | |
3436 | (math-format-number a))) | |
3437 | (t | |
ce805efa | 3438 | (require 'calc-ext) |
bf77c646 | 3439 | (math-format-flat-expr-fancy a prec)))) |
136211a9 EZ |
3440 | |
3441 | ||
3442 | ||
3443 | ;;; Format a number as a string. | |
7d08336e | 3444 | (defvar math-half-2-word-size) |
136211a9 EZ |
3445 | (defun math-format-number (a &optional prec) ; [X N] [Public] |
3446 | (cond | |
3447 | ((eq calc-display-raw t) (format "%s" a)) | |
35d69a37 | 3448 | ((and calc-twos-complement-mode |
7d08336e JB |
3449 | math-radix-explicit-format |
3450 | (Math-integerp a) | |
3451 | (or (eq a 0) | |
3452 | (and (Math-integer-posp a) | |
3453 | (Math-lessp a math-half-2-word-size)) | |
3454 | (and (Math-integer-negp a) | |
3455 | (require 'calc-ext) | |
be19ef0b | 3456 | (let ((comparison |
7d08336e JB |
3457 | (math-compare (Math-integer-neg a) math-half-2-word-size))) |
3458 | (or (= comparison 0) | |
3459 | (= comparison -1)))))) | |
3460 | (require 'calc-bin) | |
35d69a37 | 3461 | (math-format-twos-complement a)) |
136211a9 | 3462 | ((and (nth 1 calc-frac-format) (Math-integerp a)) |
ce805efa | 3463 | (require 'calc-ext) |
136211a9 EZ |
3464 | (math-format-number (math-adjust-fraction a))) |
3465 | ((integerp a) | |
3466 | (if (not (or calc-group-digits calc-leading-zeros)) | |
3467 | (if (= calc-number-radix 10) | |
3468 | (int-to-string a) | |
3469 | (if (< a 0) | |
3470 | (concat "-" (math-format-number (- a))) | |
ce805efa | 3471 | (require 'calc-ext) |
136211a9 EZ |
3472 | (if math-radix-explicit-format |
3473 | (if calc-radix-formatter | |
3474 | (funcall calc-radix-formatter | |
3475 | calc-number-radix | |
3476 | (if (= calc-number-radix 2) | |
3477 | (math-format-binary a) | |
3478 | (math-format-radix a))) | |
3479 | (format "%d#%s" calc-number-radix | |
3480 | (if (= calc-number-radix 2) | |
3481 | (math-format-binary a) | |
3482 | (math-format-radix a)))) | |
3483 | (math-format-radix a)))) | |
3484 | (math-format-number (math-bignum a)))) | |
3485 | ((stringp a) a) | |
3486 | ((not (consp a)) (prin1-to-string a)) | |
3487 | ((eq (car a) 'bigpos) (math-format-bignum (cdr a))) | |
3488 | ((eq (car a) 'bigneg) (concat "-" (math-format-bignum (cdr a)))) | |
3489 | ((and (eq (car a) 'float) (= calc-number-radix 10)) | |
3490 | (if (Math-integer-negp (nth 1 a)) | |
3491 | (concat "-" (math-format-number (math-neg a))) | |
3492 | (let ((mant (nth 1 a)) | |
3493 | (exp (nth 2 a)) | |
3494 | (fmt (car calc-float-format)) | |
3495 | (figs (nth 1 calc-float-format)) | |
3496 | (point calc-point-char) | |
3497 | str) | |
3498 | (if (and (eq fmt 'fix) | |
3499 | (or (and (< figs 0) (setq figs (- figs))) | |
3500 | (> (+ exp (math-numdigs mant)) (- figs)))) | |
3501 | (progn | |
3502 | (setq mant (math-scale-rounding mant (+ exp figs)) | |
3503 | str (if (integerp mant) | |
3504 | (int-to-string mant) | |
3505 | (math-format-bignum-decimal (cdr mant)))) | |
3506 | (if (<= (length str) figs) | |
3507 | (setq str (concat (make-string (1+ (- figs (length str))) ?0) | |
3508 | str))) | |
3509 | (if (> figs 0) | |
3510 | (setq str (concat (substring str 0 (- figs)) point | |
3511 | (substring str (- figs)))) | |
3512 | (setq str (concat str point))) | |
91da6442 CW |
3513 | (when calc-group-digits |
3514 | (require 'calc-ext) | |
3515 | (setq str (math-group-float str)))) | |
cd012309 CW |
3516 | (when (< figs 0) |
3517 | (setq figs (+ calc-internal-prec figs))) | |
3518 | (when (> figs 0) | |
3519 | (let ((adj (- figs (math-numdigs mant)))) | |
3520 | (when (< adj 0) | |
3521 | (setq mant (math-scale-rounding mant adj) | |
3522 | exp (- exp adj))))) | |
136211a9 EZ |
3523 | (setq str (if (integerp mant) |
3524 | (int-to-string mant) | |
3525 | (math-format-bignum-decimal (cdr mant)))) | |
3526 | (let* ((len (length str)) | |
3527 | (dpos (+ exp len))) | |
3528 | (if (and (eq fmt 'float) | |
3529 | (<= dpos (+ calc-internal-prec calc-display-sci-high)) | |
3530 | (>= dpos (+ calc-display-sci-low 2))) | |
3531 | (progn | |
3532 | (cond | |
3533 | ((= dpos 0) | |
3534 | (setq str (concat "0" point str))) | |
3535 | ((and (<= exp 0) (> dpos 0)) | |
3536 | (setq str (concat (substring str 0 dpos) point | |
3537 | (substring str dpos)))) | |
3538 | ((> exp 0) | |
3539 | (setq str (concat str (make-string exp ?0) point))) | |
3540 | (t ; (< dpos 0) | |
3541 | (setq str (concat "0" point | |
3542 | (make-string (- dpos) ?0) str)))) | |
91da6442 CW |
3543 | (when calc-group-digits |
3544 | (require 'calc-ext) | |
3545 | (setq str (math-group-float str)))) | |
136211a9 EZ |
3546 | (let* ((eadj (+ exp len)) |
3547 | (scale (if (eq fmt 'eng) | |
3548 | (1+ (math-mod (+ eadj 300002) 3)) | |
3549 | 1))) | |
3550 | (if (> scale (length str)) | |
3551 | (setq str (concat str (make-string (- scale (length str)) | |
3552 | ?0)))) | |
3553 | (if (< scale (length str)) | |
3554 | (setq str (concat (substring str 0 scale) point | |
3555 | (substring str scale)))) | |
91da6442 CW |
3556 | (when calc-group-digits |
3557 | (require 'calc-ext) | |
3558 | (setq str (math-group-float str))) | |
136211a9 EZ |
3559 | (setq str (format (if (memq calc-language '(math maple)) |
3560 | (if (and prec (> prec 191)) | |
3561 | "(%s*10.^%d)" "%s*10.^%d") | |
3562 | "%se%d") | |
3563 | str (- eadj scale))))))) | |
3564 | str))) | |
3565 | (t | |
ce805efa | 3566 | (require 'calc-ext) |
bf77c646 | 3567 | (math-format-number-fancy a prec)))) |
136211a9 EZ |
3568 | |
3569 | (defun math-format-bignum (a) ; [X L] | |
3570 | (if (and (= calc-number-radix 10) | |
3571 | (not calc-leading-zeros) | |
3572 | (not calc-group-digits)) | |
3573 | (math-format-bignum-decimal a) | |
ce805efa | 3574 | (require 'calc-ext) |
bf77c646 | 3575 | (math-format-bignum-fancy a))) |
136211a9 EZ |
3576 | |
3577 | (defun math-format-bignum-decimal (a) ; [X L] | |
3578 | (if a | |
3579 | (let ((s "")) | |
3580 | (while (cdr (cdr a)) | |
2a78421d JB |
3581 | (setq s (concat |
3582 | (format | |
3583 | (concat "%0" | |
3584 | (number-to-string (* 2 math-bignum-digit-length)) | |
a6d107f1 JB |
3585 | "d") |
3586 | (+ (* (nth 1 a) math-bignum-digit-size) (car a))) s) | |
136211a9 | 3587 | a (cdr (cdr a)))) |
2a78421d | 3588 | (concat (int-to-string |
a6d107f1 | 3589 | (+ (* (or (nth 1 a) 0) math-bignum-digit-size) (car a))) s)) |
bf77c646 | 3590 | "0")) |
136211a9 EZ |
3591 | |
3592 | ||
3593 | ||
3594 | ;;; Parse a simple number in string form. [N X] [Public] | |
57675fb5 | 3595 | (defun math-read-number (s &optional decimal) |
e90988a0 | 3596 | "Convert the string S into a Calc number." |
136211a9 | 3597 | (math-normalize |
1d228a31 JB |
3598 | (save-match-data |
3599 | (cond | |
be19ef0b | 3600 | |
1d228a31 JB |
3601 | ;; Integers (most common case) |
3602 | ((string-match "\\` *\\([0-9]+\\) *\\'" s) | |
3603 | (let ((digs (math-match-substring s 1))) | |
3604 | (if (and (memq calc-language calc-lang-c-type-hex) | |
3605 | (> (length digs) 1) | |
3606 | (eq (aref digs 0) ?0) | |
3607 | (null decimal)) | |
3608 | (math-read-number (concat "8#" digs)) | |
3609 | (if (<= (length digs) (* 2 math-bignum-digit-length)) | |
3610 | (string-to-number digs) | |
3611 | (cons 'bigpos (math-read-bignum digs)))))) | |
be19ef0b | 3612 | |
1d228a31 JB |
3613 | ;; Clean up the string if necessary |
3614 | ((string-match "\\`\\(.*\\)[ \t\n]+\\([^\001]*\\)\\'" s) | |
3615 | (math-read-number (concat (math-match-substring s 1) | |
3616 | (math-match-substring s 2)))) | |
be19ef0b | 3617 | |
1d228a31 JB |
3618 | ;; Plus and minus signs |
3619 | ((string-match "^[-_+]\\(.*\\)$" s) | |
3620 | (let ((val (math-read-number (math-match-substring s 1)))) | |
3621 | (and val (if (eq (aref s 0) ?+) val (math-neg val))))) | |
be19ef0b | 3622 | |
1d228a31 JB |
3623 | ;; Forms that require extensions module |
3624 | ((string-match "[^-+0-9eE.]" s) | |
3625 | (require 'calc-ext) | |
3626 | (math-read-number-fancy s)) | |
be19ef0b | 3627 | |
1d228a31 JB |
3628 | ;; Decimal point |
3629 | ((string-match "^\\([0-9]*\\)\\.\\([0-9]*\\)$" s) | |
3630 | (let ((int (math-match-substring s 1)) | |
3631 | (frac (math-match-substring s 2))) | |
3632 | (let ((ilen (length int)) | |
3633 | (flen (length frac))) | |
3634 | (let ((int (if (> ilen 0) (math-read-number int t) 0)) | |
3635 | (frac (if (> flen 0) (math-read-number frac t) 0))) | |
3636 | (and int frac (or (> ilen 0) (> flen 0)) | |
3637 | (list 'float | |
3638 | (math-add (math-scale-int int flen) frac) | |
3639 | (- flen))))))) | |
be19ef0b | 3640 | |
1d228a31 JB |
3641 | ;; "e" notation |
3642 | ((string-match "^\\(.*\\)[eE]\\([-+]?[0-9]+\\)$" s) | |
3643 | (let ((mant (math-match-substring s 1)) | |
3644 | (exp (math-match-substring s 2))) | |
3645 | (let ((mant (if (> (length mant) 0) (math-read-number mant t) 1)) | |
3646 | (exp (if (<= (length exp) (if (memq (aref exp 0) '(?+ ?-)) 8 7)) | |
3647 | (string-to-number exp)))) | |
3648 | (and mant exp (Math-realp mant) (> exp -4000000) (< exp 4000000) | |
3649 | (let ((mant (math-float mant))) | |
3650 | (list 'float (nth 1 mant) (+ (nth 2 mant) exp))))))) | |
be19ef0b | 3651 | |
1d228a31 JB |
3652 | ;; Syntax error! |
3653 | (t nil))))) | |
136211a9 | 3654 | |
1f26c380 JB |
3655 | ;;; Parse a very simple number, keeping all digits. |
3656 | (defun math-read-number-simple (s) | |
e90988a0 JB |
3657 | "Convert the string S into a Calc number. |
3658 | S is assumed to be a simple number (integer or float without an exponent) | |
3659 | and all digits are kept, regardless of Calc's current precision." | |
1d228a31 JB |
3660 | (save-match-data |
3661 | (cond | |
3662 | ;; Integer | |
3663 | ((string-match "^[0-9]+$" s) | |
3664 | (if (string-match "^\\(0+\\)" s) | |
3665 | (setq s (substring s (match-end 0)))) | |
3666 | (if (<= (length s) (* 2 math-bignum-digit-length)) | |
3667 | (string-to-number s) | |
3668 | (cons 'bigpos (math-read-bignum s)))) | |
3669 | ;; Minus sign | |
3670 | ((string-match "^-[0-9]+$" s) | |
3671 | (if (<= (length s) (1+ (* 2 math-bignum-digit-length))) | |
3672 | (string-to-number s) | |
3673 | (cons 'bigneg (math-read-bignum (substring s 1))))) | |
3674 | ;; Decimal point | |
3675 | ((string-match "^\\(-?[0-9]*\\)\\.\\([0-9]*\\)$" s) | |
3676 | (let ((int (math-match-substring s 1)) | |
3677 | (frac (math-match-substring s 2))) | |
3678 | (list 'float (math-read-number-simple (concat int frac)) | |
3679 | (- (length frac))))) | |
3680 | ;; Syntax error! | |
3681 | (t nil)))) | |
1f26c380 | 3682 | |
136211a9 EZ |
3683 | (defun math-match-substring (s n) |
3684 | (if (match-beginning n) | |
3685 | (substring s (match-beginning n) (match-end n)) | |
bf77c646 | 3686 | "")) |
136211a9 EZ |
3687 | |
3688 | (defun math-read-bignum (s) ; [l X] | |
a6d107f1 JB |
3689 | (if (> (length s) math-bignum-digit-length) |
3690 | (cons (string-to-number (substring s (- math-bignum-digit-length))) | |
3691 | (math-read-bignum (substring s 0 (- math-bignum-digit-length)))) | |
28572d7d | 3692 | (list (string-to-number s)))) |
136211a9 | 3693 | |
136211a9 EZ |
3694 | (defconst math-standard-opers |
3695 | '( ( "_" calcFunc-subscr 1200 1201 ) | |
3696 | ( "%" calcFunc-percent 1100 -1 ) | |
136211a9 EZ |
3697 | ( "u!" calcFunc-lnot -1 1000 ) |
3698 | ( "mod" mod 400 400 185 ) | |
3699 | ( "+/-" sdev 300 300 185 ) | |
3700 | ( "!!" calcFunc-dfact 210 -1 ) | |
3701 | ( "!" calcFunc-fact 210 -1 ) | |
3702 | ( "^" ^ 201 200 ) | |
3703 | ( "**" ^ 201 200 ) | |
c8d00744 JB |
3704 | ( "u+" ident -1 197 ) |
3705 | ( "u-" neg -1 197 ) | |
136211a9 EZ |
3706 | ( "/" / 190 191 ) |
3707 | ( "%" % 190 191 ) | |
3708 | ( "\\" calcFunc-idiv 190 191 ) | |
3709 | ( "+" + 180 181 ) | |
3710 | ( "-" - 180 181 ) | |
3711 | ( "|" | 170 171 ) | |
3712 | ( "<" calcFunc-lt 160 161 ) | |
3713 | ( ">" calcFunc-gt 160 161 ) | |
3714 | ( "<=" calcFunc-leq 160 161 ) | |
3715 | ( ">=" calcFunc-geq 160 161 ) | |
3716 | ( "=" calcFunc-eq 160 161 ) | |
3717 | ( "==" calcFunc-eq 160 161 ) | |
3718 | ( "!=" calcFunc-neq 160 161 ) | |
3719 | ( "&&" calcFunc-land 110 111 ) | |
3720 | ( "||" calcFunc-lor 100 101 ) | |
3721 | ( "?" (math-read-if) 91 90 ) | |
3722 | ( "!!!" calcFunc-pnot -1 85 ) | |
3723 | ( "&&&" calcFunc-pand 80 81 ) | |
3724 | ( "|||" calcFunc-por 75 76 ) | |
3725 | ( ":=" calcFunc-assign 51 50 ) | |
3726 | ( "::" calcFunc-condition 45 46 ) | |
3727 | ( "=>" calcFunc-evalto 40 41 ) | |
f269b73e | 3728 | ( "=>" calcFunc-evalto 40 -1 ))) |
515e955e JB |
3729 | |
3730 | (defun math-standard-ops () | |
3731 | (if calc-multiplication-has-precedence | |
3732 | (cons | |
3733 | '( "*" * 196 195 ) | |
3734 | (cons | |
3735 | '( "2x" * 196 195 ) | |
3736 | math-standard-opers)) | |
3737 | (cons | |
cad63e32 | 3738 | '( "*" * 190 191 ) |
515e955e | 3739 | (cons |
cad63e32 | 3740 | '( "2x" * 190 191 ) |
515e955e JB |
3741 | math-standard-opers)))) |
3742 | ||
a6a0d3cb JB |
3743 | (defvar math-expr-opers (math-standard-ops)) |
3744 | ||
515e955e JB |
3745 | (defun math-standard-ops-p () |
3746 | (let ((meo (caar math-expr-opers))) | |
3747 | (and (stringp meo) | |
3748 | (string= meo "*")))) | |
3749 | ||
515e955e JB |
3750 | (defun math-expr-ops () |
3751 | (if (math-standard-ops-p) | |
3752 | (math-standard-ops) | |
3753 | math-expr-opers)) | |
136211a9 EZ |
3754 | |
3755 | ;;;###autoload | |
3756 | (defun calc-grab-region (top bot arg) | |
3757 | "Parse the region as a vector of numbers and push it on the Calculator stack." | |
3758 | (interactive "r\nP") | |
ce805efa | 3759 | (require 'calc-ext) |
bf77c646 | 3760 | (calc-do-grab-region top bot arg)) |
136211a9 EZ |
3761 | |
3762 | ;;;###autoload | |
3763 | (defun calc-grab-rectangle (top bot arg) | |
3764 | "Parse a rectangle as a matrix of numbers and push it on the Calculator stack." | |
3765 | (interactive "r\nP") | |
ce805efa | 3766 | (require 'calc-ext) |
bf77c646 | 3767 | (calc-do-grab-rectangle top bot arg)) |
136211a9 EZ |
3768 | |
3769 | (defun calc-grab-sum-down (top bot arg) | |
3770 | "Parse a rectangle as a matrix of numbers and sum its columns." | |
3771 | (interactive "r\nP") | |
ce805efa | 3772 | (require 'calc-ext) |
bf77c646 | 3773 | (calc-do-grab-rectangle top bot arg 'calcFunc-reduced)) |
136211a9 EZ |
3774 | |
3775 | (defun calc-grab-sum-across (top bot arg) | |
3776 | "Parse a rectangle as a matrix of numbers and sum its rows." | |
3777 | (interactive "r\nP") | |
ce805efa | 3778 | (require 'calc-ext) |
bf77c646 | 3779 | (calc-do-grab-rectangle top bot arg 'calcFunc-reducea)) |
136211a9 EZ |
3780 | |
3781 | ||
3782 | ;;;###autoload | |
3783 | (defun calc-embedded (arg &optional end obeg oend) | |
3784 | "Start Calc Embedded mode on the formula surrounding point." | |
3785 | (interactive "P") | |
ce805efa | 3786 | (require 'calc-ext) |
bf77c646 | 3787 | (calc-do-embedded arg end obeg oend)) |
136211a9 EZ |
3788 | |
3789 | ;;;###autoload | |
3790 | (defun calc-embedded-activate (&optional arg cbuf) | |
3791 | "Scan the current editing buffer for all embedded := and => formulas. | |
3792 | Also looks for the equivalent TeX words, \\gets and \\evalto." | |
3793 | (interactive "P") | |
bf77c646 | 3794 | (calc-do-embedded-activate arg cbuf)) |
136211a9 | 3795 | |
136211a9 EZ |
3796 | (defun calc-user-invocation () |
3797 | (interactive) | |
dd168a3e | 3798 | (unless calc-invocation-macro |
d24f83d4 | 3799 | (error "Use `Z I' inside Calc to define a `C-x * Z' keyboard macro")) |
bf77c646 | 3800 | (execute-kbd-macro calc-invocation-macro nil)) |
136211a9 | 3801 | |
136211a9 EZ |
3802 | ;;; User-programmability. |
3803 | ||
3804 | ;;;###autoload | |
3805 | (defmacro defmath (func args &rest body) ; [Public] | |
d7ad7a5e JPW |
3806 | "Define Calc function. |
3807 | ||
3808 | Like `defun' except that code in the body of the definition can | |
3809 | make use of the full range of Calc data types and the usual | |
3810 | arithmetic operations are converted to their Calc equivalents. | |
3811 | ||
3812 | The prefix `calcFunc-' is added to the specified name to get the | |
3813 | actual Lisp function name. | |
3814 | ||
3815 | See Info node `(calc)Defining Functions'." | |
3816 | (declare (doc-string 3)) | |
ce805efa | 3817 | (require 'calc-ext) |
bf77c646 | 3818 | (math-do-defmath func args body)) |
136211a9 | 3819 | |
136211a9 EZ |
3820 | ;;; Functions needed for Lucid Emacs support. |
3821 | ||
3822 | (defun calc-read-key (&optional optkey) | |
6546555e | 3823 | (cond ((featurep 'xemacs) |
136211a9 EZ |
3824 | (let ((event (next-command-event))) |
3825 | (let ((key (event-to-character event t t))) | |
3826 | (or key optkey (error "Expected a plain keystroke")) | |
3827 | (cons key event)))) | |
136211a9 | 3828 | (t |
cecd4c20 | 3829 | (let ((key (read-event))) |
bf77c646 | 3830 | (cons key key))))) |
136211a9 EZ |
3831 | |
3832 | (defun calc-unread-command (&optional input) | |
31b85a14 EZ |
3833 | (if (featurep 'xemacs) |
3834 | (setq unread-command-event | |
3835 | (if (integerp input) (character-to-event input) | |
3836 | (or input last-command-event))) | |
3837 | (push (or input last-command-event) unread-command-events))) | |
136211a9 EZ |
3838 | |
3839 | (defun calc-clear-unread-commands () | |
a1506d29 | 3840 | (if (featurep 'xemacs) |
6546555e | 3841 | (setq unread-command-event nil) |
31b85a14 | 3842 | (setq unread-command-events nil))) |
136211a9 | 3843 | |
be19ef0b | 3844 | (defcalcmodevar math-2-word-size |
7d08336e JB |
3845 | (math-read-number-simple "4294967296") |
3846 | "Two to the power of `calc-word-size'.") | |
3847 | ||
3848 | (defcalcmodevar math-half-2-word-size | |
3849 | (math-read-number-simple "2147483648") | |
3850 | "One-half of two to the power of `calc-word-size'.") | |
3851 | ||
cd012309 | 3852 | (when calc-always-load-extensions |
ce805efa | 3853 | (require 'calc-ext) |
cd012309 | 3854 | (calc-load-everything)) |
136211a9 EZ |
3855 | |
3856 | ||
3857 | (run-hooks 'calc-load-hook) | |
3858 | ||
ce805efa JB |
3859 | (provide 'calc) |
3860 | ||
be19ef0b GM |
3861 | ;; Local variables: |
3862 | ;; coding: utf-8 | |
3863 | ;; End: | |
3864 | ||
bf77c646 | 3865 | ;;; calc.el ends here |