Feature #8748
closedInteger#popcount (Fixnum#popcount and Bignum#popcount)
Description
How about adding Integer#popcoun
t method?
(actually Fixnum#popcount
and Bignum#popcount
)
0.popcount #=> 0
1.popcount #=> 1
255.popcount #=> 8
256.popcount #=> 1
(10**100).popcount #=> 105
(257**257).popcount #=> 999
It counts the number of one bits in the integer.
If the integer is negative, the one bits in the absolute number is counted.
popcount has various applications.
Hamming distance, rank/select for succinct data structure,
brightness of monochrome image, etc.
In general, popcount is useful when an array is encoded as an integer.
Several lower layers provides this feature.
gcc and clang has __builtin_popcount
.
Intel and AMD provides popcnt instruction.
Several languages and libraries provides this feature:
absolute number: Mathmatica(DigitCount
)
two's complement: Java(java.math.BigInteger#bitCount
), Scala(bitCount
), CommonLisp(logcount
), CLN(logcount
)
other behavior: GMP(mpz_popcount
), Haskell(popCount
), Scheme(bitwise-bit-count
)
fixed size: gcc (__builtin_popcount
), Intel/AMD(popcnt
), Java(java.lang.Integer.bitCount
)
For negative numbers, my implementation counts bits in abs(n)
.
I think this is easy to understand, at least.
However many software counts bits in two's complement representation.
There are several names.
I think popcount
is popular but bitcount
is also a possible name.
I don't like logcount
.
Any comments?
Details of the other software:
Mathmatica has DigitCount
which can be used as popcount
.
n.popcount
can be implemented as DigitCount[n, 2, 1]
.
It seems work for abs(n)
. (I tested with Wolfram Alpha.)
http://reference.wolfram.com/mathematica/ref/DigitCount.html
Java has bitCount
method in java.lang.Integer
and java.math.BigInteger
.
java.lang.Integer
counts one-bits in two's complement representation
(so it is not applicable for infinite precision integer).
java.math.BigInteger
counts bits which is different to sign bit in
two's complement representation.
http://docs.oracle.com/javase/7/docs/api/java/lang/Integer.html#bitCount(int)
http://docs.oracle.com/javase/7/docs/api/java/math/BigInteger.html#bitCount()
Scala has bitCount
method too.
It works as Java.
http://www.scala-lang.org/api/current/index.html#scala.math.BigInt
CommonLisp has logcount
function.
http://www.lispworks.com/documentation/HyperSpec/Body/f_logcou.htm
CLN has logcount
function.
http://www.ginac.de/CLN/cln.html#Exact-numbers
GMP has mpz_popcount
.
It returns a some constant for negative values.
http://gmplib.org/manual/Integer-Logic-and-Bit-Fiddling.html#Integer-Logic-and-Bit-Fiddling
Haskell has popCount
.
It seems hang for negative values.
http://www.haskell.org/ghc/docs/7.6.2/html/libraries/base/Data-Bits.html#t:Bits
Scheme has bitwise-bit-count
.
It returns negative result for negative values.
http://www.r6rs.org/final/html/r6rs-lib/r6rs-lib-Z-H-12.html#node_sec_11.1
Files
Updated by matz (Yukihiro Matsumoto) about 11 years ago
- Status changed from Open to Rejected
I don't see the needs to add methods to use integers as bit-arrays.
Matz.
Updated by Anonymous about 11 years ago
The issue here seems to be, whether BitArray (like https://github.com/peterc/bitarray ) is desirable in stdlib or core.
Updated by alexeymuranov (Alexey Muranov) about 11 years ago
boris_stitnicky (Boris Stitnicky) wrote:
The issue here seems to be, whether BitArray (like https://github.com/peterc/bitarray ) is desirable in stdlib or core.
+1 for something like BitArray in core (edit: or in stdlib).
-1 for using integers as bit arrays. (IMHO)
Updated by nobu (Nobuyoshi Nakada) 10 months ago
- Has duplicate Feature #20163: Introduce #bit_count method on Integer added
Updated by nobu (Nobuyoshi Nakada) 10 months ago
- Subject changed from Integer#popcount (Fixnum#popcount and Bignum#popcount) to `Integer#popcount` (`Fixnum#popcount` and `Bignum#popcount`)
- Description updated (diff)
Updated by nobu (Nobuyoshi Nakada) 10 months ago
- Subject changed from `Integer#popcount` (`Fixnum#popcount` and `Bignum#popcount`) to Integer#popcount (Fixnum#popcount and Bignum#popcount)
- Description updated (diff)