1 ;;; calc-bin.el --- binary functions for Calc
3 ;; Copyright (C) 1990, 1991, 1992, 1993, 2001 Free Software Foundation, Inc.
5 ;; Author: David Gillespie <daveg@synaptics.com>
6 ;; Maintainer: Jay Belanger <belanger@truman.edu>
8 ;; This file is part of GNU Emacs.
10 ;; GNU Emacs is distributed in the hope that it will be useful,
11 ;; but WITHOUT ANY WARRANTY. No author or distributor
12 ;; accepts responsibility to anyone for the consequences of using it
13 ;; or for whether it serves any particular purpose or works at all,
14 ;; unless he says so in writing. Refer to the GNU Emacs General Public
15 ;; License for full details.
17 ;; Everyone is granted permission to copy, modify and redistribute
18 ;; GNU Emacs, but only under the conditions described in the
19 ;; GNU Emacs General Public License. A copy of this license is
20 ;; supposed to have been given to you along with GNU Emacs so you
21 ;; can know your rights and responsibilities. It should be in a
22 ;; file named COPYING. Among other things, the copyright notice
23 ;; and this notice must be preserved on all copies.
29 ;; This file is autoloaded from calc-ext.el.
34 ;;; b-prefix binary commands.
39 (calc-enter-result 2 "and"
40 (append '(calcFunc-and)
42 (and n (list (prefix-numeric-value n)))))))
47 (calc-enter-result 2 "or"
48 (append '(calcFunc-or)
50 (and n (list (prefix-numeric-value n)))))))
55 (calc-enter-result 2 "xor"
56 (append '(calcFunc-xor)
58 (and n (list (prefix-numeric-value n)))))))
63 (calc-enter-result 2 "diff"
64 (append '(calcFunc-diff)
66 (and n (list (prefix-numeric-value n)))))))
71 (calc-enter-result 1 "not"
72 (append '(calcFunc-not)
74 (and n (list (prefix-numeric-value n)))))))
76 (defun calc-lshift-binary (n)
79 (let ((hyp (if (calc-is-hyperbolic) 2 1)))
80 (calc-enter-result hyp "lsh"
81 (append '(calcFunc-lsh)
83 (and n (list (prefix-numeric-value n))))))))
85 (defun calc-rshift-binary (n)
88 (let ((hyp (if (calc-is-hyperbolic) 2 1)))
89 (calc-enter-result hyp "rsh"
90 (append '(calcFunc-rsh)
92 (and n (list (prefix-numeric-value n))))))))
94 (defun calc-lshift-arith (n)
97 (let ((hyp (if (calc-is-hyperbolic) 2 1)))
98 (calc-enter-result hyp "ash"
99 (append '(calcFunc-ash)
100 (calc-top-list-n hyp)
101 (and n (list (prefix-numeric-value n))))))))
103 (defun calc-rshift-arith (n)
106 (let ((hyp (if (calc-is-hyperbolic) 2 1)))
107 (calc-enter-result hyp "rash"
108 (append '(calcFunc-rash)
109 (calc-top-list-n hyp)
110 (and n (list (prefix-numeric-value n))))))))
112 (defun calc-rotate-binary (n)
115 (let ((hyp (if (calc-is-hyperbolic) 2 1)))
116 (calc-enter-result hyp "rot"
117 (append '(calcFunc-rot)
118 (calc-top-list-n hyp)
119 (and n (list (prefix-numeric-value n))))))))
124 (calc-enter-result 1 "clip"
125 (append '(calcFunc-clip)
127 (and n (list (prefix-numeric-value n)))))))
129 (defun calc-word-size (n)
132 (or n (setq n (read-string (format "Binary word size: (default %d) "
134 (setq n (if (stringp n)
137 (if (string-match "\\`[-+]?[0-9]+\\'" n)
139 (error "Expected an integer")))
140 (prefix-numeric-value n)))
141 (or (= n calc-word-size)
142 (if (> (math-abs n) 100)
143 (calc-change-mode 'calc-word-size n calc-leading-zeros)
144 (calc-change-mode '(calc-word-size calc-previous-modulo)
145 (list n (math-power-of-2 (math-abs n)))
146 calc-leading-zeros)))
148 (message "Binary word size is %d bits (2's complement)" (- n))
149 (message "Binary word size is %d bits" n))))
155 ;;; d-prefix mode commands.
157 (defun calc-radix (n)
158 (interactive "NDisplay radix (2-36): ")
160 (if (and (>= n 2) (<= n 36))
162 (calc-change-mode 'calc-number-radix n t)
163 ;; also change global value so minibuffer sees it
164 (setq-default calc-number-radix calc-number-radix))
165 (setq n calc-number-radix))
166 (message "Number radix is %d" n)))
168 (defun calc-decimal-radix ()
172 (defun calc-binary-radix ()
176 (defun calc-octal-radix ()
180 (defun calc-hex-radix ()
184 (defun calc-leading-zeros (n)
187 (if (calc-change-mode 'calc-leading-zeros n t t)
188 (message "Zero-padding integers to %d digits (assuming radix %d)"
189 (let* ((calc-internal-prec 6))
190 (math-compute-max-digits (math-abs calc-word-size)
193 (message "Omitting leading zeros on integers"))))
196 (defvar math-power-of-2-cache (list 1 2 4 8 16 32 64 128 256 512 1024))
197 (defvar math-big-power-of-2-cache nil)
198 (defun math-power-of-2 (n) ; [I I] [Public]
199 (if (and (natnump n) (<= n 100))
200 (or (nth n math-power-of-2-cache)
201 (let* ((i (length math-power-of-2-cache))
202 (val (nth (1- i) math-power-of-2-cache)))
204 (setq val (math-mul val 2)
205 math-power-of-2-cache (nconc math-power-of-2-cache
209 (let ((found (assq n math-big-power-of-2-cache)))
212 (let ((po2 (math-ipow 2 n)))
213 (setq math-big-power-of-2-cache
214 (cons (cons n po2) math-big-power-of-2-cache))
217 (defun math-integer-log2 (n) ; [I I] [Public]
219 (p math-power-of-2-cache)
221 (while (and p (Math-natnum-lessp (setq val (car p)) n))
227 (while (Math-natnum-lessp
229 (setq val (math-mul val 2))
230 (setq math-power-of-2-cache (nconc math-power-of-2-cache
240 ;;; Bitwise operations.
242 (defun calcFunc-and (a b &optional w) ; [I I I] [Public]
243 (cond ((Math-messy-integerp w)
244 (calcFunc-and a b (math-trunc w)))
245 ((and w (not (integerp w)))
246 (math-reject-arg w 'fixnump))
247 ((and (integerp a) (integerp b))
248 (math-clip (logand a b) w))
249 ((or (eq (car-safe a) 'mod) (eq (car-safe b) 'mod))
250 (math-binary-modulo-args 'calcFunc-and a b w))
251 ((not (Math-num-integerp a))
252 (math-reject-arg a 'integerp))
253 ((not (Math-num-integerp b))
254 (math-reject-arg b 'integerp))
255 (t (math-clip (cons 'bigpos
256 (math-and-bignum (math-binary-arg a w)
257 (math-binary-arg b w)))
260 (defun math-binary-arg (a w)
261 (if (not (Math-integerp a))
262 (setq a (math-trunc a)))
263 (if (Math-integer-negp a)
264 (math-not-bignum (cdr (math-bignum-test (math-sub -1 a)))
265 (math-abs (if w (math-trunc w) calc-word-size)))
266 (cdr (Math-bignum-test a))))
268 (defun math-binary-modulo-args (f a b w)
270 (if (eq (car-safe a) 'mod)
274 (if (eq (car-safe b) 'mod)
275 (if (equal mod (nth 2 b))
277 (math-reject-arg b "*Inconsistent modulos"))))
280 (if (Math-messy-integerp mod)
281 (setq mod (math-trunc mod))
282 (or (Math-integerp mod)
283 (math-reject-arg mod 'integerp)))
284 (let ((bits (math-integer-log2 mod)))
289 "*Warning: Modulo inconsistent with word size"))
291 (calc-record-why "*Warning: Modulo is not a power of 2"))
297 (defun math-and-bignum (a b) ; [l l l]
299 (let ((qa (math-div-bignum-digit a 512))
300 (qb (math-div-bignum-digit b 512)))
301 (math-mul-bignum-digit (math-and-bignum (math-norm-bignum (car qa))
302 (math-norm-bignum (car qb)))
304 (logand (cdr qa) (cdr qb))))))
306 (defun calcFunc-or (a b &optional w) ; [I I I] [Public]
307 (cond ((Math-messy-integerp w)
308 (calcFunc-or a b (math-trunc w)))
309 ((and w (not (integerp w)))
310 (math-reject-arg w 'fixnump))
311 ((and (integerp a) (integerp b))
312 (math-clip (logior a b) w))
313 ((or (eq (car-safe a) 'mod) (eq (car-safe b) 'mod))
314 (math-binary-modulo-args 'calcFunc-or a b w))
315 ((not (Math-num-integerp a))
316 (math-reject-arg a 'integerp))
317 ((not (Math-num-integerp b))
318 (math-reject-arg b 'integerp))
319 (t (math-clip (cons 'bigpos
320 (math-or-bignum (math-binary-arg a w)
321 (math-binary-arg b w)))
324 (defun math-or-bignum (a b) ; [l l l]
326 (let ((qa (math-div-bignum-digit a 512))
327 (qb (math-div-bignum-digit b 512)))
328 (math-mul-bignum-digit (math-or-bignum (math-norm-bignum (car qa))
329 (math-norm-bignum (car qb)))
331 (logior (cdr qa) (cdr qb))))))
333 (defun calcFunc-xor (a b &optional w) ; [I I I] [Public]
334 (cond ((Math-messy-integerp w)
335 (calcFunc-xor a b (math-trunc w)))
336 ((and w (not (integerp w)))
337 (math-reject-arg w 'fixnump))
338 ((and (integerp a) (integerp b))
339 (math-clip (logxor a b) w))
340 ((or (eq (car-safe a) 'mod) (eq (car-safe b) 'mod))
341 (math-binary-modulo-args 'calcFunc-xor a b w))
342 ((not (Math-num-integerp a))
343 (math-reject-arg a 'integerp))
344 ((not (Math-num-integerp b))
345 (math-reject-arg b 'integerp))
346 (t (math-clip (cons 'bigpos
347 (math-xor-bignum (math-binary-arg a w)
348 (math-binary-arg b w)))
351 (defun math-xor-bignum (a b) ; [l l l]
353 (let ((qa (math-div-bignum-digit a 512))
354 (qb (math-div-bignum-digit b 512)))
355 (math-mul-bignum-digit (math-xor-bignum (math-norm-bignum (car qa))
356 (math-norm-bignum (car qb)))
358 (logxor (cdr qa) (cdr qb))))))
360 (defun calcFunc-diff (a b &optional w) ; [I I I] [Public]
361 (cond ((Math-messy-integerp w)
362 (calcFunc-diff a b (math-trunc w)))
363 ((and w (not (integerp w)))
364 (math-reject-arg w 'fixnump))
365 ((and (integerp a) (integerp b))
366 (math-clip (logand a (lognot b)) w))
367 ((or (eq (car-safe a) 'mod) (eq (car-safe b) 'mod))
368 (math-binary-modulo-args 'calcFunc-diff a b w))
369 ((not (Math-num-integerp a))
370 (math-reject-arg a 'integerp))
371 ((not (Math-num-integerp b))
372 (math-reject-arg b 'integerp))
373 (t (math-clip (cons 'bigpos
374 (math-diff-bignum (math-binary-arg a w)
375 (math-binary-arg b w)))
378 (defun math-diff-bignum (a b) ; [l l l]
380 (let ((qa (math-div-bignum-digit a 512))
381 (qb (math-div-bignum-digit b 512)))
382 (math-mul-bignum-digit (math-diff-bignum (math-norm-bignum (car qa))
383 (math-norm-bignum (car qb)))
385 (logand (cdr qa) (lognot (cdr qb)))))))
387 (defun calcFunc-not (a &optional w) ; [I I] [Public]
388 (cond ((Math-messy-integerp w)
389 (calcFunc-not a (math-trunc w)))
390 ((eq (car-safe a) 'mod)
391 (math-binary-modulo-args 'calcFunc-not a nil w))
392 ((and w (not (integerp w)))
393 (math-reject-arg w 'fixnump))
394 ((not (Math-num-integerp a))
395 (math-reject-arg a 'integerp))
396 ((< (or w (setq w calc-word-size)) 0)
397 (math-clip (calcFunc-not a (- w)) w))
400 (math-not-bignum (math-binary-arg a w)
403 (defun math-not-bignum (a w) ; [l l]
404 (let ((q (math-div-bignum-digit a 512)))
406 (list (logand (lognot (cdr q))
408 (math-mul-bignum-digit (math-not-bignum (math-norm-bignum (car q))
411 (logxor (cdr q) 511)))))
413 (defun calcFunc-lsh (a &optional n w) ; [I I] [Public]
414 (setq a (math-trunc a)
415 n (if n (math-trunc n) 1))
416 (if (eq (car-safe a) 'mod)
417 (math-binary-modulo-args 'calcFunc-lsh a n w)
418 (setq w (if w (math-trunc w) calc-word-size))
420 (math-reject-arg w 'fixnump))
421 (or (Math-integerp a)
422 (math-reject-arg a 'integerp))
423 (or (Math-integerp n)
424 (math-reject-arg n 'integerp))
426 (math-clip (calcFunc-lsh a n (- w)) w)
427 (if (Math-integer-negp a)
428 (setq a (math-clip a w)))
429 (cond ((or (Math-lessp n (- w))
433 (math-quotient (math-clip a w) (math-power-of-2 (- n))))
435 (math-clip (math-mul a (math-power-of-2 n)) w))))))
437 (defun calcFunc-rsh (a &optional n w) ; [I I] [Public]
438 (calcFunc-lsh a (math-neg (or n 1)) w))
440 (defun calcFunc-ash (a &optional n w) ; [I I] [Public]
444 (setq a (math-trunc a)
445 n (if n (math-trunc n) 1))
446 (if (eq (car-safe a) 'mod)
447 (math-binary-modulo-args 'calcFunc-ash a n w)
448 (setq w (if w (math-trunc w) calc-word-size))
450 (math-reject-arg w 'fixnump))
451 (or (Math-integerp a)
452 (math-reject-arg a 'integerp))
453 (or (Math-integerp n)
454 (math-reject-arg n 'integerp))
456 (math-clip (calcFunc-ash a n (- w)) w)
457 (if (Math-integer-negp a)
458 (setq a (math-clip a w)))
459 (let ((two-to-sizem1 (math-power-of-2 (1- w)))
460 (sh (calcFunc-lsh a n w)))
461 (cond ((Math-natnum-lessp a two-to-sizem1)
463 ((Math-lessp n (- 1 w))
464 (math-add (math-mul two-to-sizem1 2) -1))
465 (t (let ((two-to-n (math-power-of-2 (- n))))
466 (math-add (calcFunc-lsh (math-add two-to-n -1)
470 (defun calcFunc-rash (a &optional n w) ; [I I] [Public]
471 (calcFunc-ash a (math-neg (or n 1)) w))
473 (defun calcFunc-rot (a &optional n w) ; [I I] [Public]
474 (setq a (math-trunc a)
475 n (if n (math-trunc n) 1))
476 (if (eq (car-safe a) 'mod)
477 (math-binary-modulo-args 'calcFunc-rot a n w)
478 (setq w (if w (math-trunc w) calc-word-size))
480 (math-reject-arg w 'fixnump))
481 (or (Math-integerp a)
482 (math-reject-arg a 'integerp))
483 (or (Math-integerp n)
484 (math-reject-arg n 'integerp))
486 (math-clip (calcFunc-rot a n (- w)) w)
487 (if (Math-integer-negp a)
488 (setq a (math-clip a w)))
489 (cond ((or (Math-integer-negp n)
490 (not (Math-natnum-lessp n w)))
491 (calcFunc-rot a (math-mod n w) w))
493 (math-add (calcFunc-lsh a (- n w) w)
494 (calcFunc-lsh a n w)))))))
496 (defun math-clip (a &optional w) ; [I I] [Public]
497 (cond ((Math-messy-integerp w)
498 (math-clip a (math-trunc w)))
499 ((eq (car-safe a) 'mod)
500 (math-binary-modulo-args 'math-clip a nil w))
501 ((and w (not (integerp w)))
502 (math-reject-arg w 'fixnump))
503 ((not (Math-num-integerp a))
504 (math-reject-arg a 'integerp))
505 ((< (or w (setq w calc-word-size)) 0)
506 (setq a (math-clip a (- w)))
507 (if (Math-natnum-lessp a (math-power-of-2 (- -1 w)))
509 (math-sub a (math-power-of-2 (- w)))))
511 (math-normalize (cons 'bigpos (math-binary-arg a w))))
512 ((and (integerp a) (< a 1000000))
515 (logand a (1- (lsh 1 w)))))
519 (math-clip-bignum (cdr (math-bignum-test (math-trunc a)))
522 (defalias 'calcFunc-clip 'math-clip)
524 (defun math-clip-bignum (a w) ; [l l]
525 (let ((q (math-div-bignum-digit a 512)))
527 (list (logand (cdr q)
529 (math-mul-bignum-digit (math-clip-bignum (math-norm-bignum (car q))
534 (defvar math-max-digits-cache nil)
535 (defun math-compute-max-digits (w r)
536 (let* ((pair (+ (* r 100000) w))
537 (res (assq pair math-max-digits-cache)))
540 (let* ((calc-command-flags nil)
541 (digs (math-ceiling (math-div w (math-real-log2 r)))))
542 (setq math-max-digits-cache (cons (cons pair digs)
543 math-max-digits-cache))
546 (defvar math-log2-cache (list '(2 . 1)
549 '(10 . (float 332193 -5))
552 (defun math-real-log2 (x) ;;; calc-internal-prec must be 6
553 (let ((res (assq x math-log2-cache)))
556 (let* ((calc-symbolic-mode nil)
557 (calc-display-working-message nil)
558 (log (calcFunc-log x 2)))
559 (setq math-log2-cache (cons (cons x log) math-log2-cache))
562 (defconst math-radix-digits ["0" "1" "2" "3" "4" "5" "6" "7" "8" "9"
563 "A" "B" "C" "D" "E" "F" "G" "H" "I" "J"
564 "K" "L" "M" "N" "O" "P" "Q" "R" "S" "T"
565 "U" "V" "W" "X" "Y" "Z"])
567 (defsubst math-format-radix-digit (a) ; [X D]
568 (aref math-radix-digits a))
570 (defun math-format-radix (a) ; [X S]
571 (if (< a calc-number-radix)
573 (concat "-" (math-format-radix (- a)))
574 (math-format-radix-digit a))
577 (setq s (concat (math-format-radix-digit (% a calc-number-radix)) s)
578 a (/ a calc-number-radix)))
581 (defconst math-binary-digits ["000" "001" "010" "011"
582 "100" "101" "110" "111"])
583 (defun math-format-binary (a) ; [X S]
586 (concat "-" (math-format-binary (- a)))
587 (math-format-radix a))
590 (setq s (concat (aref math-binary-digits (% a 8)) s)
592 (concat (math-format-radix a) s))))
594 (defun math-format-bignum-radix (a) ; [X L]
597 (< (car a) calc-number-radix))
598 (math-format-radix-digit (car a)))
600 (let ((q (math-div-bignum-digit a calc-number-radix)))
601 (concat (math-format-bignum-radix (math-norm-bignum (car q)))
602 (math-format-radix-digit (cdr q)))))))
604 (defun math-format-bignum-binary (a) ; [X L]
607 (math-format-binary (car a)))
609 (let ((q (math-div-bignum-digit a 512)))
610 (concat (math-format-bignum-binary (math-norm-bignum (car q)))
611 (aref math-binary-digits (/ (cdr q) 64))
612 (aref math-binary-digits (% (/ (cdr q) 8) 8))
613 (aref math-binary-digits (% (cdr q) 8)))))))
615 (defun math-format-bignum-octal (a) ; [X L]
618 (math-format-radix (car a)))
620 (let ((q (math-div-bignum-digit a 512)))
621 (concat (math-format-bignum-octal (math-norm-bignum (car q)))
622 (math-format-radix-digit (/ (cdr q) 64))
623 (math-format-radix-digit (% (/ (cdr q) 8) 8))
624 (math-format-radix-digit (% (cdr q) 8)))))))
626 (defun math-format-bignum-hex (a) ; [X L]
629 (math-format-radix (car a)))
631 (let ((q (math-div-bignum-digit a 256)))
632 (concat (math-format-bignum-hex (math-norm-bignum (car q)))
633 (math-format-radix-digit (/ (cdr q) 16))
634 (math-format-radix-digit (% (cdr q) 16)))))))
636 ;;; Decompose into integer and fractional parts, without depending
637 ;;; on calc-internal-prec.
638 (defun math-float-parts (a need-frac) ; returns ( int frac fracdigs )
640 (list (math-scale-rounding (nth 1 a) (nth 2 a)) '(float 0 0) 0)
641 (let* ((d (math-numdigs (nth 1 a)))
646 (let ((qr (math-idivmod (nth 1 a) (math-scale-int 1 n))))
647 (list (car qr) (math-make-float (cdr qr) (- n)) n)))
648 (list (math-scale-rounding (nth 1 a) (nth 2 a))
651 (defun math-format-radix-float (a prec)
652 (let ((fmt (car calc-float-format))
653 (figs (nth 1 calc-float-format))
654 (point calc-point-char)
658 (let* ((afigs (math-abs figs))
659 (fp (math-float-parts a (> afigs 0)))
660 (calc-internal-prec (+ 3 (max (nth 2 fp)
661 (math-convert-radix-digits
664 (frac (math-round (math-mul (math-normalize (nth 1 fp))
665 (math-radix-float-power afigs)))))
666 (if (not (and (math-zerop frac) (math-zerop int) (< figs 0)))
667 (let ((math-radix-explicit-format nil))
668 (let ((calc-group-digits nil))
669 (setq str (if (> afigs 0) (math-format-number frac) ""))
670 (if (< (length str) afigs)
671 (setq str (concat (make-string (- afigs (length str)) ?0)
673 (if (> (length str) afigs)
674 (setq str (substring str 1)
675 int (math-add int 1))))
676 (setq str (concat (math-format-number int) point str)))
677 (when calc-group-digits
678 (setq str (math-group-float str))))
681 (let* ((prec calc-internal-prec)
682 (afigs (if (> figs 0)
685 (1- (math-convert-radix-digits
687 (math-numdigs (nth 1 a)))))))))
688 (calc-internal-prec (+ 3 (math-convert-radix-digits afigs t)))
689 (explo -1) (vlo (math-radix-float-power explo))
690 (exphi 1) (vhi (math-radix-float-power exphi))
692 (setq a (math-normalize a))
695 (if (math-lessp-float '(float 1 0) a)
696 (while (not (math-lessp-float a vhi))
697 (setq explo exphi vlo vhi
698 exphi (math-mul exphi 2)
699 vhi (math-radix-float-power exphi)))
700 (while (math-lessp-float a vlo)
701 (setq exphi explo vhi vlo
702 explo (math-mul explo 2)
703 vlo (math-radix-float-power explo))))
704 (while (not (eq (math-sub exphi explo) 1))
705 (setq expmid (math-div2 (math-add explo exphi))
706 vmid (math-radix-float-power expmid))
707 (if (math-lessp-float a vmid)
708 (setq exphi expmid vhi vmid)
709 (setq explo expmid vlo vmid)))
710 (setq a (math-div-float a vlo)))
711 (let* ((sc (math-round (math-mul a (math-radix-float-power
713 (math-radix-explicit-format nil))
714 (let ((calc-group-digits nil))
715 (setq str (math-format-number sc))))
716 (if (> (length str) afigs)
717 (setq str (substring str 0 -1)
719 (if (and (eq fmt 'float)
720 (math-lessp explo (+ (if (= figs 0)
721 (1- (math-convert-radix-digits
724 calc-display-sci-high 1))
725 (math-lessp calc-display-sci-low explo))
726 (let ((dpos (1+ explo)))
728 (setq str (concat "0" point (make-string (- dpos) ?0)
730 ((> dpos (length str))
731 (setq str (concat str (make-string (- dpos (length str))
734 (setq str (concat (substring str 0 dpos) point
735 (substring str dpos)))))
737 (setq eadj (if (eq fmt 'eng)
738 (min (math-mod explo 3) (length str))
740 str (concat (substring str 0 (1+ eadj)) point
741 (substring str (1+ eadj)))))
742 (setq pos (length str))
743 (while (eq (aref str (1- pos)) ?0) (setq pos (1- pos)))
744 (and explo (eq (aref str (1- pos)) ?.) (setq pos (1- pos)))
745 (setq str (substring str 0 pos))
746 (when calc-group-digits
747 (setq str (math-group-float str)))
749 (let ((estr (let ((calc-number-radix 10)
750 (calc-group-digits nil))
752 (math-sub explo eadj)))))
753 (setq str (if (or (memq calc-language '(math maple))
754 (> calc-number-radix 14))
755 (format "%s*%d.^%s" str calc-number-radix estr)
756 (format "%se%s" str estr)))))))
759 (defvar math-radix-digits-cache nil)
761 (defun math-convert-radix-digits (n &optional to-dec)
762 (let ((key (cons n (cons to-dec calc-number-radix))))
763 (or (cdr (assoc key math-radix-digits-cache))
764 (let* ((calc-internal-prec 6)
765 (log (math-div (math-real-log2 calc-number-radix)
766 '(float 332193 -5))))
767 (cdr (car (setq math-radix-digits-cache
768 (cons (cons key (math-ceiling (if to-dec
771 math-radix-digits-cache))))))))
773 (defvar math-radix-float-cache-tag nil)
774 (defvar math-radix-float-cache)
776 (defun math-radix-float-power (n)
779 (or (and (eq calc-number-radix (car math-radix-float-cache-tag))
780 (<= calc-internal-prec (cdr math-radix-float-cache-tag)))
781 (setq math-radix-float-cache-tag (cons calc-number-radix
783 math-radix-float-cache nil))
785 (or (cdr (assoc n math-radix-float-cache))
786 (cdr (car (setq math-radix-float-cache
789 (let ((calc-internal-prec
790 (cdr math-radix-float-cache-tag)))
792 (math-div-float '(float 1 0)
793 (math-radix-float-power
795 (math-mul-float (math-sqr-float
796 (math-radix-float-power
801 calc-number-radix))))))
802 math-radix-float-cache))))))))
806 ;;; arch-tag: f6dba7bc-53b2-41ae-919c-c266ab0ca8b3
807 ;;; calc-bin.el ends here