diff options
Diffstat (limited to 'lisp/calc/calc-bin.el')
-rw-r--r-- | lisp/calc/calc-bin.el | 175 |
1 files changed, 19 insertions, 156 deletions
diff --git a/lisp/calc/calc-bin.el b/lisp/calc/calc-bin.el index d979edb5fdb..b4371bdaf98 100644 --- a/lisp/calc/calc-bin.el +++ b/lisp/calc/calc-bin.el @@ -28,17 +28,6 @@ (require 'calc-ext) (require 'calc-macs) -;;; Some useful numbers -(defconst math-bignum-logb-digit-size - (logb math-bignum-digit-size) - "The logb of the size of a bignum digit. -This is the largest value of B such that 2^B is less than -the size of a Calc bignum digit.") - -(defconst math-bignum-digit-power-of-two - (expt 2 (logb math-bignum-digit-size)) - "The largest power of 2 less than the size of a Calc bignum digit.") - ;;; b-prefix binary commands. (defun calc-and (n) @@ -268,18 +257,14 @@ the size of a Calc bignum digit.") (math-reject-arg a 'integerp)) ((not (Math-num-integerp b)) (math-reject-arg b 'integerp)) - (t (math-clip (cons 'bigpos - (math-and-bignum (math-binary-arg a w) - (math-binary-arg b w))) - w)))) + (t (math-clip (logand (math-binary-arg a w) (math-binary-arg b w)) w)))) (defun math-binary-arg (a w) (if (not (Math-integerp a)) (setq a (math-trunc a))) - (if (Math-integer-negp a) - (math-not-bignum (cdr (math-bignum-test (math-sub -1 a))) - (math-abs (if w (math-trunc w) calc-word-size))) - (cdr (Math-bignum-test a)))) + (if (< a 0) + (logand a (1- (ash 1 (if w (math-trunc w) calc-word-size)))) + a)) (defun math-binary-modulo-args (f a b w) (let (mod) @@ -310,15 +295,6 @@ the size of a Calc bignum digit.") (funcall f a w)) mod)))) -(defun math-and-bignum (a b) ; [l l l] - (and a b - (let ((qa (math-div-bignum-digit a math-bignum-digit-power-of-two)) - (qb (math-div-bignum-digit b math-bignum-digit-power-of-two))) - (math-mul-bignum-digit (math-and-bignum (math-norm-bignum (car qa)) - (math-norm-bignum (car qb))) - math-bignum-digit-power-of-two - (logand (cdr qa) (cdr qb)))))) - (defun calcFunc-or (a b &optional w) ; [I I I] [Public] (cond ((Math-messy-integerp w) (calcFunc-or a b (math-trunc w))) @@ -332,19 +308,7 @@ the size of a Calc bignum digit.") (math-reject-arg a 'integerp)) ((not (Math-num-integerp b)) (math-reject-arg b 'integerp)) - (t (math-clip (cons 'bigpos - (math-or-bignum (math-binary-arg a w) - (math-binary-arg b w))) - w)))) - -(defun math-or-bignum (a b) ; [l l l] - (and (or a b) - (let ((qa (math-div-bignum-digit a math-bignum-digit-power-of-two)) - (qb (math-div-bignum-digit b math-bignum-digit-power-of-two))) - (math-mul-bignum-digit (math-or-bignum (math-norm-bignum (car qa)) - (math-norm-bignum (car qb))) - math-bignum-digit-power-of-two - (logior (cdr qa) (cdr qb)))))) + (t (math-clip (logior (math-binary-arg a w) (math-binary-arg b w)) w)))) (defun calcFunc-xor (a b &optional w) ; [I I I] [Public] (cond ((Math-messy-integerp w) @@ -359,19 +323,7 @@ the size of a Calc bignum digit.") (math-reject-arg a 'integerp)) ((not (Math-num-integerp b)) (math-reject-arg b 'integerp)) - (t (math-clip (cons 'bigpos - (math-xor-bignum (math-binary-arg a w) - (math-binary-arg b w))) - w)))) - -(defun math-xor-bignum (a b) ; [l l l] - (and (or a b) - (let ((qa (math-div-bignum-digit a math-bignum-digit-power-of-two)) - (qb (math-div-bignum-digit b math-bignum-digit-power-of-two))) - (math-mul-bignum-digit (math-xor-bignum (math-norm-bignum (car qa)) - (math-norm-bignum (car qb))) - math-bignum-digit-power-of-two - (logxor (cdr qa) (cdr qb)))))) + (t (math-clip (logxor (math-binary-arg a w) (math-binary-arg b w)) w)))) (defun calcFunc-diff (a b &optional w) ; [I I I] [Public] (cond ((Math-messy-integerp w) @@ -386,19 +338,9 @@ the size of a Calc bignum digit.") (math-reject-arg a 'integerp)) ((not (Math-num-integerp b)) (math-reject-arg b 'integerp)) - (t (math-clip (cons 'bigpos - (math-diff-bignum (math-binary-arg a w) - (math-binary-arg b w))) - w)))) - -(defun math-diff-bignum (a b) ; [l l l] - (and a - (let ((qa (math-div-bignum-digit a math-bignum-digit-power-of-two)) - (qb (math-div-bignum-digit b math-bignum-digit-power-of-two))) - (math-mul-bignum-digit (math-diff-bignum (math-norm-bignum (car qa)) - (math-norm-bignum (car qb))) - math-bignum-digit-power-of-two - (logand (cdr qa) (lognot (cdr qb))))))) + (t (math-clip (logand (math-binary-arg a w) + (lognot (math-binary-arg b w))) + w)))) (defun calcFunc-not (a &optional w) ; [I I] [Public] (cond ((Math-messy-integerp w) @@ -411,21 +353,7 @@ the size of a Calc bignum digit.") (math-reject-arg a 'integerp)) ((< (or w (setq w calc-word-size)) 0) (math-clip (calcFunc-not a (- w)) w)) - (t (math-normalize - (cons 'bigpos - (math-not-bignum (math-binary-arg a w) - w)))))) - -(defun math-not-bignum (a w) ; [l l] - (let ((q (math-div-bignum-digit a math-bignum-digit-power-of-two))) - (if (<= w math-bignum-logb-digit-size) - (list (logand (lognot (cdr q)) - (1- (ash 1 w)))) - (math-mul-bignum-digit (math-not-bignum (math-norm-bignum (car q)) - (- w math-bignum-logb-digit-size)) - math-bignum-digit-power-of-two - (logxor (cdr q) - (1- math-bignum-digit-power-of-two)))))) + (t (math-clip (lognot (math-binary-arg a w)) w)))) (defun calcFunc-lsh (a &optional n w) ; [I I] [Public] (setq a (math-trunc a) @@ -525,29 +453,12 @@ the size of a Calc bignum digit.") a (math-sub a (math-power-of-2 (- w))))) ((Math-negp a) - (math-normalize (cons 'bigpos (math-binary-arg a w)))) - ((and (integerp a) (< a math-small-integer-size)) - (if (> w (logb math-small-integer-size)) - a - (logand a (1- (ash 1 w))))) - (t - (math-normalize - (cons 'bigpos - (math-clip-bignum (cdr (math-bignum-test (math-trunc a))) - w)))))) + (math-binary-arg a w)) + ((integerp a) + (logand a (1- (ash 1 w)))))) (defalias 'calcFunc-clip 'math-clip) -(defun math-clip-bignum (a w) ; [l l] - (let ((q (math-div-bignum-digit a math-bignum-digit-power-of-two))) - (if (<= w math-bignum-logb-digit-size) - (list (logand (cdr q) - (1- (ash 1 w)))) - (math-mul-bignum-digit (math-clip-bignum (math-norm-bignum (car q)) - (- w math-bignum-logb-digit-size)) - math-bignum-digit-power-of-two - (cdr q))))) - (defvar math-max-digits-cache nil) (defun math-compute-max-digits (w r) (let* ((pair (+ (* r 100000) w)) @@ -601,54 +512,12 @@ the size of a Calc bignum digit.") (if (< a 8) (if (< a 0) (concat "-" (math-format-binary (- a))) - (math-format-radix a)) + (aref math-binary-digits a)) (let ((s "")) (while (> a 7) (setq s (concat (aref math-binary-digits (% a 8)) s) a (/ a 8))) - (concat (math-format-radix a) s)))) - -(defun math-format-bignum-radix (a) ; [X L] - (cond ((null a) "0") - ((and (null (cdr a)) - (< (car a) calc-number-radix)) - (math-format-radix-digit (car a))) - (t - (let ((q (math-div-bignum-digit a calc-number-radix))) - (concat (math-format-bignum-radix (math-norm-bignum (car q))) - (math-format-radix-digit (cdr q))))))) - -(defun math-format-bignum-binary (a) ; [X L] - (cond ((null a) "0") - ((null (cdr a)) - (math-format-binary (car a))) - (t - (let ((q (math-div-bignum-digit a 512))) - (concat (math-format-bignum-binary (math-norm-bignum (car q))) - (aref math-binary-digits (/ (cdr q) 64)) - (aref math-binary-digits (% (/ (cdr q) 8) 8)) - (aref math-binary-digits (% (cdr q) 8))))))) - -(defun math-format-bignum-octal (a) ; [X L] - (cond ((null a) "0") - ((null (cdr a)) - (math-format-radix (car a))) - (t - (let ((q (math-div-bignum-digit a 512))) - (concat (math-format-bignum-octal (math-norm-bignum (car q))) - (math-format-radix-digit (/ (cdr q) 64)) - (math-format-radix-digit (% (/ (cdr q) 8) 8)) - (math-format-radix-digit (% (cdr q) 8))))))) - -(defun math-format-bignum-hex (a) ; [X L] - (cond ((null a) "0") - ((null (cdr a)) - (math-format-radix (car a))) - (t - (let ((q (math-div-bignum-digit a 256))) - (concat (math-format-bignum-hex (math-norm-bignum (car q))) - (math-format-radix-digit (/ (cdr q) 16)) - (math-format-radix-digit (% (cdr q) 16))))))) + (concat (math-format-binary a) s)))) ;;; Decompose into integer and fractional parts, without depending ;;; on calc-internal-prec. @@ -665,7 +534,7 @@ the size of a Calc bignum digit.") (list (math-scale-rounding (nth 1 a) (nth 2 a)) '(float 0 0) 0))))) -(defun math-format-radix-float (a prec) +(defun math-format-radix-float (a _prec) (let ((fmt (car calc-float-format)) (figs (nth 1 calc-float-format)) (point calc-point-char) @@ -823,20 +692,14 @@ the size of a Calc bignum digit.") (defun math-format-twos-complement (a) "Format an integer in two's complement mode." (let* (;(calc-leading-zeros t) - (overflow nil) - (negative nil) (num (cond ((or (eq a 0) - (and (Math-integer-posp a))) - (if (integerp a) - (math-format-radix a) - (math-format-bignum-radix (cdr a)))) + (Math-integer-posp a)) + (math-format-radix a)) ((Math-integer-negp a) (let ((newa (math-add a math-2-word-size))) - (if (integerp newa) - (math-format-radix newa) - (math-format-bignum-radix (cdr newa)))))))) + (math-format-radix newa)))))) (let* ((calc-internal-prec 6) (digs (math-compute-max-digits (math-abs calc-word-size) calc-number-radix)) |