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[bpt/emacs.git] / lisp / calc / calc-stuff.el
1 ;;; calc-stuff.el --- miscellaneous functions for Calc
2
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001 Free Software Foundation, Inc.
4
5 ;; Author: David Gillespie <daveg@synaptics.com>
6 ;; Maintainers: D. Goel <deego@gnufans.org>
7 ;; Colin Walters <walters@debian.org>
8
9 ;; This file is part of GNU Emacs.
10
11 ;; GNU Emacs is distributed in the hope that it will be useful,
12 ;; but WITHOUT ANY WARRANTY. No author or distributor
13 ;; accepts responsibility to anyone for the consequences of using it
14 ;; or for whether it serves any particular purpose or works at all,
15 ;; unless he says so in writing. Refer to the GNU Emacs General Public
16 ;; License for full details.
17
18 ;; Everyone is granted permission to copy, modify and redistribute
19 ;; GNU Emacs, but only under the conditions described in the
20 ;; GNU Emacs General Public License. A copy of this license is
21 ;; supposed to have been given to you along with GNU Emacs so you
22 ;; can know your rights and responsibilities. It should be in a
23 ;; file named COPYING. Among other things, the copyright notice
24 ;; and this notice must be preserved on all copies.
25
26 ;;; Commentary:
27
28 ;;; Code:
29
30 ;; This file is autoloaded from calc-ext.el.
31 (require 'calc-ext)
32
33 (require 'calc-macs)
34
35 (defun calc-Need-calc-stuff () nil)
36
37
38 (defun calc-num-prefix (n)
39 "Use the number at the top of stack as the numeric prefix for the next command.
40 With a prefix, push that prefix as a number onto the stack."
41 (interactive "P")
42 (calc-wrapper
43 (if n
44 (calc-enter-result 0 "" (prefix-numeric-value n))
45 (let ((num (calc-top 1)))
46 (if (math-messy-integerp num)
47 (setq num (math-trunc num)))
48 (or (integerp num)
49 (error "Argument must be a small integer"))
50 (calc-pop-stack 1)
51 (setq prefix-arg num)
52 (message "%d-" num))))) ; a (lame) simulation of the real thing...
53
54
55 (defun calc-more-recursion-depth (n)
56 (interactive "P")
57 (calc-wrapper
58 (if (calc-is-inverse)
59 (calc-less-recursion-depth n)
60 (let ((n (if n (prefix-numeric-value n) 2)))
61 (if (> n 1)
62 (setq max-specpdl-size (* max-specpdl-size n)
63 max-lisp-eval-depth (* max-lisp-eval-depth n))))
64 (message "max-lisp-eval-depth is now %d" max-lisp-eval-depth))))
65
66 (defun calc-less-recursion-depth (n)
67 (interactive "P")
68 (let ((n (if n (prefix-numeric-value n) 2)))
69 (if (> n 1)
70 (setq max-specpdl-size
71 (max (/ max-specpdl-size n) 600)
72 max-lisp-eval-depth
73 (max (/ max-lisp-eval-depth n) 200))))
74 (message "max-lisp-eval-depth is now %d" max-lisp-eval-depth))
75
76
77 (defvar calc-which-why nil)
78 (defvar calc-last-why-command nil)
79 (defun calc-explain-why (why &optional more)
80 (if (eq (car why) '*)
81 (setq why (cdr why)))
82 (let* ((pred (car why))
83 (arg (nth 1 why))
84 (msg (cond ((not pred) "Wrong type of argument")
85 ((stringp pred) pred)
86 ((eq pred 'integerp) "Integer expected")
87 ((eq pred 'natnump)
88 (if (and arg (Math-objvecp arg) (not (Math-integerp arg)))
89 "Integer expected"
90 "Nonnegative integer expected"))
91 ((eq pred 'posintp)
92 (if (and arg (Math-objvecp arg) (not (Math-integerp arg)))
93 "Integer expected"
94 "Positive integer expected"))
95 ((eq pred 'fixnump)
96 (if (and arg (Math-integerp arg))
97 "Small integer expected"
98 "Integer expected"))
99 ((eq pred 'fixnatnump)
100 (if (and arg (Math-natnump arg))
101 "Small integer expected"
102 (if (and arg (Math-objvecp arg)
103 (not (Math-integerp arg)))
104 "Integer expected"
105 "Nonnegative integer expected")))
106 ((eq pred 'fixposintp)
107 (if (and arg (Math-integerp arg) (Math-posp arg))
108 "Small integer expected"
109 (if (and arg (Math-objvecp arg)
110 (not (Math-integerp arg)))
111 "Integer expected"
112 "Positive integer expected")))
113 ((eq pred 'posp) "Positive number expected")
114 ((eq pred 'negp) "Negative number expected")
115 ((eq pred 'nonzerop) "Nonzero number expected")
116 ((eq pred 'realp) "Real number expected")
117 ((eq pred 'anglep) "Real number expected")
118 ((eq pred 'hmsp) "HMS form expected")
119 ((eq pred 'datep)
120 (if (and arg (Math-objectp arg)
121 (not (Math-realp arg)))
122 "Real number or date form expected"
123 "Date form expected"))
124 ((eq pred 'numberp) "Number expected")
125 ((eq pred 'scalarp) "Number expected")
126 ((eq pred 'vectorp) "Vector or matrix expected")
127 ((eq pred 'numvecp) "Number or vector expected")
128 ((eq pred 'matrixp) "Matrix expected")
129 ((eq pred 'square-matrixp)
130 (if (and arg (math-matrixp arg))
131 "Square matrix expected"
132 "Matrix expected"))
133 ((eq pred 'objectp) "Number expected")
134 ((eq pred 'constp) "Constant expected")
135 ((eq pred 'range) "Argument out of range")
136 (t (format "%s expected" pred))))
137 (punc ": ")
138 (calc-can-abbrev-vectors t))
139 (while (setq why (cdr why))
140 (and (car why)
141 (setq msg (concat msg punc (if (stringp (car why))
142 (car why)
143 (math-format-flat-expr (car why) 0)))
144 punc ", ")))
145 (message "%s%s" msg (if more " [w=more]" ""))))
146
147 (defun calc-why ()
148 (interactive)
149 (if (not (eq this-command last-command))
150 (if (eq last-command calc-last-why-command)
151 (setq calc-which-why (cdr calc-why))
152 (setq calc-which-why calc-why)))
153 (if calc-which-why
154 (progn
155 (calc-explain-why (car calc-which-why) (cdr calc-which-why))
156 (setq calc-which-why (cdr calc-which-why)))
157 (if calc-why
158 (progn
159 (message "(No further explanations available)")
160 (setq calc-which-why calc-why))
161 (message "No explanations available"))))
162
163
164 (defun calc-version ()
165 (interactive)
166 (message "Calc %s" calc-version))
167
168
169 (defun calc-flush-caches (&optional inhibit-msg)
170 (interactive "P")
171 (calc-wrapper
172 (setq math-lud-cache nil
173 math-log2-cache nil
174 math-radix-digits-cache nil
175 math-radix-float-cache-tag nil
176 math-random-cache nil
177 math-max-digits-cache nil
178 math-checked-rewrites nil
179 math-integral-cache nil
180 math-units-table nil
181 math-decls-cache-tag nil
182 math-eval-rules-cache-tag t
183 math-graph-var-cache nil
184 math-graph-data-cache nil
185 math-format-date-cache nil
186 math-holidays-cache-tag t)
187 (mapcar (function (lambda (x) (set x -100))) math-cache-list)
188 (unless inhibit-msg
189 (message "All internal calculator caches have been reset"))))
190
191
192 ;;; Conversions.
193
194 (defun calc-clean (n)
195 (interactive "P")
196 (calc-slow-wrapper
197 (calc-with-default-simplification
198 (let ((func (if (calc-is-hyperbolic) 'calcFunc-clean 'calcFunc-pclean)))
199 (calc-enter-result 1 "cln"
200 (if n
201 (let ((n (prefix-numeric-value n)))
202 (list func
203 (calc-top-n 1)
204 (if (<= n 0)
205 (+ n calc-internal-prec)
206 n)))
207 (list func (calc-top-n 1))))))))
208
209 (defun calc-clean-num (num)
210 (interactive "P")
211 (calc-clean (- (if num
212 (prefix-numeric-value num)
213 (if (and (>= last-command-char ?0)
214 (<= last-command-char ?9))
215 (- last-command-char ?0)
216 (error "Number required"))))))
217
218
219 (defvar math-chopping-small nil)
220 (defun calcFunc-clean (a &optional prec) ; [X X S] [Public]
221 (if prec
222 (cond ((Math-messy-integerp prec)
223 (calcFunc-clean a (math-trunc prec)))
224 ((or (not (integerp prec))
225 (< prec 3))
226 (calc-record-why "*Precision must be an integer 3 or above")
227 (list 'calcFunc-clean a prec))
228 ((not (Math-objvecp a))
229 (list 'calcFunc-clean a prec))
230 (t (let ((calc-internal-prec prec)
231 (math-chopping-small t))
232 (calcFunc-clean (math-normalize a)))))
233 (cond ((eq (car-safe a) 'polar)
234 (let ((theta (math-mod (nth 2 a)
235 (if (eq calc-angle-mode 'rad)
236 (math-two-pi)
237 360))))
238 (math-neg
239 (math-neg
240 (math-normalize
241 (list 'polar
242 (calcFunc-clean (nth 1 a))
243 (calcFunc-clean theta)))))))
244 ((memq (car-safe a) '(vec date hms))
245 (cons (car a) (mapcar 'calcFunc-clean (cdr a))))
246 ((memq (car-safe a) '(cplx mod sdev intv))
247 (math-normalize (cons (car a) (mapcar 'calcFunc-clean (cdr a)))))
248 ((eq (car-safe a) 'float)
249 (if math-chopping-small
250 (if (or (> (nth 2 a) (- calc-internal-prec))
251 (Math-lessp (- calc-internal-prec) (calcFunc-xpon a)))
252 (if (and (math-num-integerp a)
253 (math-lessp (calcFunc-xpon a) calc-internal-prec))
254 (math-trunc a)
255 a)
256 0)
257 a))
258 ((Math-objectp a) a)
259 ((math-infinitep a) a)
260 (t (list 'calcFunc-clean a)))))
261
262 (defun calcFunc-pclean (a &optional prec)
263 (math-map-over-constants (function (lambda (x) (calcFunc-clean x prec)))
264 a))
265
266 (defun calcFunc-pfloat (a)
267 (math-map-over-constants 'math-float a))
268
269 (defun calcFunc-pfrac (a &optional tol)
270 (math-map-over-constants (function (lambda (x) (calcFunc-frac x tol)))
271 a))
272
273 (defun math-map-over-constants (func expr)
274 (math-map-over-constants-rec expr))
275
276 (defun math-map-over-constants-rec (expr)
277 (cond ((or (Math-primp expr)
278 (memq (car expr) '(intv sdev)))
279 (or (and (Math-objectp expr)
280 (funcall func expr))
281 expr))
282 ((and (memq (car expr) '(^ calcFunc-subscr))
283 (eq func 'math-float)
284 (= (length expr) 3)
285 (Math-integerp (nth 2 expr)))
286 (list (car expr)
287 (math-map-over-constants-rec (nth 1 expr))
288 (nth 2 expr)))
289 (t (cons (car expr) (mapcar 'math-map-over-constants-rec (cdr expr))))))
290
291 ;;; arch-tag: 789332ef-a178-49d3-8fb7-5d7ed7e21f56
292 ;;; calc-stuff.el ends here