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Calc: allow infinite binary word size (bug#43764)
Setting the word size ("b w") to 0 removes the word size clipping for
all bit operations (effectively as if a word size of -∞ had been set).
Rotation is disallowed; logical and arithmetic shifts behave
identically.
After a suggestion by Vincent Belaïche.
* lisp/calc/calc-bin.el (calc-word-size, math-binary-arg)
(math-binary-modulo-args, calcFunc-lsh, calcFunc-ash, calcFunc-rot)
(math-clip, math-format-twos-complement): Allow a word size of 0,
meaning -∞.
* test/lisp/calc/calc-tests.el
(calc-tests--not, calc-tests--and, calc-tests--or, calc-tests--xor)
(calc-tests--diff): New functions.
(calc-tests--clip, calc-tests--rot, calc-shift-binary): Extend to
cover word size 0.
(calc-bit-ops): New test.
* doc/misc/calc.texi (Binary Functions): Update manual.
* etc/NEWS: Announce the change.
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4 changed files with 99 additions and 21 deletions
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@ -145,9 +145,10 @@
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(setq math-half-2-word-size (math-power-of-2 (1- (math-abs n))))
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(calc-do-refresh)
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(calc-refresh-evaltos)
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(if (< n 0)
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(message "Binary word size is %d bits (two's complement)" (- n))
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(message "Binary word size is %d bits" n))))
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(cond
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((< n 0) (message "Binary word size is %d bits (two's complement)" (- n)))
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((> n 0) (message "Binary word size is %d bits" n))
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(t (message "No fixed binary word size")))))
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@ -262,9 +263,10 @@
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(defun math-binary-arg (a w)
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(if (not (Math-integerp a))
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(setq a (math-trunc a)))
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(if (< a 0)
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(logand a (1- (ash 1 (if w (math-trunc w) calc-word-size))))
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a))
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(let ((w (if w (math-trunc w) calc-word-size)))
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(if (and (< a 0) (not (zerop w)))
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(logand a (1- (ash 1 w)))
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a)))
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(defun math-binary-modulo-args (f a b w)
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(let (mod)
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@ -285,7 +287,7 @@
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(let ((bits (math-integer-log2 mod)))
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(if bits
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(if w
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(if (/= w bits)
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(if (and (/= w bits) (not (zerop w)))
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(calc-record-why
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"*Warning: Modulus inconsistent with word size"))
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(setq w bits))
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@ -371,11 +373,12 @@
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(math-clip (calcFunc-lsh a n (- w)) w)
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(if (Math-integer-negp a)
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(setq a (math-clip a w)))
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(cond ((or (Math-lessp n (- w))
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(Math-lessp w n))
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(cond ((and (or (Math-lessp n (- w))
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(Math-lessp w n))
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(not (zerop w)))
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0)
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((< n 0)
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(math-quotient (math-clip a w) (math-power-of-2 (- n))))
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(ash (math-clip a w) n))
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(t
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(math-clip (math-mul a (math-power-of-2 n)) w))))))
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@ -403,7 +406,8 @@
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(setq a (math-clip a w)))
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(let ((two-to-sizem1 (math-power-of-2 (1- w)))
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(sh (calcFunc-lsh a n w)))
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(cond ((zerop (logand a two-to-sizem1))
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(cond ((or (zerop w)
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(zerop (logand a two-to-sizem1)))
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sh)
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((Math-lessp n (- 1 w))
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(math-add (math-mul two-to-sizem1 2) -1))
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@ -421,6 +425,8 @@
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(if (eq (car-safe a) 'mod)
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(math-binary-modulo-args 'calcFunc-rot a n w)
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(setq w (if w (math-trunc w) calc-word-size))
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(when (zerop w)
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(error "Rotation requires a nonzero word size"))
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(or (integerp w)
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(math-reject-arg w 'fixnump))
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(or (Math-integerp a)
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@ -452,6 +458,8 @@
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(if (Math-natnum-lessp a (math-power-of-2 (- -1 w)))
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a
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(math-sub a (math-power-of-2 (- w)))))
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((math-zerop w)
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a)
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((Math-negp a)
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(math-binary-arg a w))
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((integerp a)
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@ -682,6 +690,8 @@
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(defun math-format-twos-complement (a)
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"Format an integer in two's complement mode."
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(when (zerop calc-word-size)
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(error "Nonzero word size required"))
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(let* (;(calc-leading-zeros t)
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(num
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(cond
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