bitset

Parameters

x

positive decimal or encoded integers (all inttypes supported), whose bits must be set. Supported sizes: scalar, vector, matrix, hypermatrix.

bitInd

Indices of bits to be set: Array of positive decimal or encoded integers (all inttypes supported), whose values are in the interval [1 bitmax] where bitmax is the maximal index of bits for the type of x. The bit #1 is the lightest one (2⁰).

typeof(x)	bitmax	..	typeof(x)	bitmax
int8	7		uint8	8
int16	15		uint16	16
int32	31		uint32	32
int64	63		uint16	64
decimal	1024

If the size of bitInd matches x's one, the processing is performed element-wise: For every index i in x, the bit #bitInd(i) is set in x(i).
If x has N dimensions and the N first sizes of bitInd match x ones, and bitInd has N+1 dimensions, then for each x(i1,i2,..iN), all its bits #bitInd(i1,i2,..iN, :) are set.
Otherwise: bitInd must be a vector of length<= bitmax. Then, all the bits listed in bitInd are set in all x components.

bitVal

Array of values 0 or 1 as decimal or encoded integers (all inttypes supported) : values to which respective bits must be set. bitVal has either the size of bitInd, or it is scalar (then the same value is used for all bits).

y

Processed x, with the same size and data type (and integer type) as x.

Description

Sets the bits of x indicated by bitInd, either to 1 or to the given values bitVal.

Examples

Setting one or several bits in a scalar:

n = int8(20);
ns = bitset(n, [1 3 6]) // setting bits #1 #3 #6 (to 1 by default)
bitget([n ns], 1:7)     // bits content before / after setting

ns = bitset(n, [1 3 6], [1 0 1]) // to explicit bits values
bitget([n ns], 1:7)

--> n = int8(20);
--> ns = bitset(n, [1 3 6]) // setting bits #1 #3 #6 (to 1 by default)
 ns  =
  53

--> bitget([n ns], 1:7)     // bits content before / after setting
 ans  =
  0  0  1  0  1  0  0
  1  0  1  0  1  1  0

--> ns = bitset(n, [1 3 6], [1 0 1]) // to explicit bits values
 ns  =
  49

--> bitget([n ns], 1:7)
 ans  =
  0  0  1  0  1  0  0
  1  0  0  0  1  1  0

Setting the same bits to the same respective values for all input elements:

n = uint16([28  59; 23  19])
ns = bitset(n, [3 5], [1 0])
bitget(n, 1:8)
bitget(ns,1:8)

--> n = uint16([28  59; 23  19])
 n  =
  28  59
  23  19

--> ns = bitset(n, [3 5], [1 0])
 ns  =
  12  47
   7   7

--> bitget(n, 1:8)
 ans  =
  0  0  1  1  1  0  0  0
  1  1  1  0  1  0  0  0
  1  1  0  1  1  1  0  0
  1  1  0  0  1  0  0  0

--> bitget(ns,1:8)
 ans  =
  0  0  1  1  0  0  0  0
  1  1  1  0  0  0  0  0
  1  1  1  1  0  1  0  0
  1  1  1  0  0  0  0  0

Setting a single bit of each element of an array, at a bit index depending on the element, in an element-wise way:

n = uint16([94 78 ; 6 19])
ns = bitset(n, [2 4 ; 3 5], 0)            // To the same bit value 0
ns2 = bitset(n, [1 3 ; 2 4], [1 0 ; 0 1]) // To respective bits values
// Analysis:
bitget(ns, 1:8)  // #[2 3 4 5] set to 0
bitget(n, 1:8)   // input
bitget(ns2, 1:8) // #[1 2 3 4] set to [1 0 0 1]

--> n = uint16([94 78 ; 6 19])
 n  =
  94  78
   6  19

--> ns = bitset(n, [2 4 ; 3 5], 0)            // To the same bit value 0
 ns  =
  92  70
   2   3

--> ns2 = bitset(n, [1 3 ; 2 4], [1 0 ; 0 1]) // To respective bits values
 ns2  =
  95  74
   4  27

--> // Analysis:
--> bitget(ns, 1:8)    // #[2 3 4 5] set to 0
 ans  =
  0  0  1  1  1  0  1  0
  0  1  0  0  0  0  0  0
  0  1  1  0  0  0  1  0
  1  1  0  0  0  0  0  0

--> bitget(n, 1:8)     // input
 ans  =
  0  1  1  1  1  0  1  0
  0  1  1  0  0  0  0  0
  0  1  1  1  0  0  1  0
  1  1  0  0  1  0  0  0

--> bitget(ns2, 1:8)    // #[1 2 3 4] set to [1 0 0 1]
 ans  =
  1  1  1  1  1  0  1  0
  0  0  1  0  0  0  0  0
  0  1  0  1  0  0  1  0
  1  1  0  1  1  0  0  0

Setting several bits in each input element, in an element-wise way:

// Bits set to 1:
n = int64([6 49 71]);
bitInd = cat(3, [1 3 5], [2 4 6])
ns = bitset(n, bitInd)
bitget(n, 1:8)
bitget(ns, 1:8)

--> n = int64([6 49 71]);
--> bitInd = cat(3, [1 3 5], [2 4 6])
 bitInd  =
(:,:,1)
   1.   3.   5.
(:,:,2)
   2.   4.   6.

--> ns = bitset(n, bitInd)
 ns  =
  7  61  119

--> bitget(n, 1:8)
 ans  =
  0  1  1  0  0  0  0  0
  1  0  0  0  1  1  0  0
  1  1  1  0  0  0  1  0

--> bitget(ns, 1:8)
 ans  =
  1  1  1  0  0  0  0  0
  1  0  1  1  1  1  0  0
  1  1  1  0  1  1  1  0

// Bits set to respective values:
n = uint64([6 49 71]);
bitInd = cat(3, [1 3 5], [2 4 6])
bitVal = cat(3, [1 1 1], [0 0 0])
n
ns = bitset(n, bitInd, bitVal)
bitget(n, 1:8)
bitget(ns, 1:8)

--> bitInd = cat(3, [1 3 5], [2 4 6])
 bitInd  =
(:,:,1)
   1.   3.   5.
(:,:,2)
   2.   4.   6.

--> bitVal = cat(3, [1 1 1], [0 0 0])
 bitVal  =
(:,:,1)
   1.   1.   1.
(:,:,2)
   0.   0.   0.

--> n
 n  =
  6  49  71

--> ns = bitset(n, bitInd, bitVal)
 ns  =
  5  53  87

--> bitget(n, 1:8)
 ans  =
  0  1  1  0  0  0  0  0
  1  0  0  0  1  1  0  0
  1  1  1  0  0  0  1  0

--> bitget(ns, 1:8)
 ans  =
  1  0  1  0  0  0  0  0
  1  0  1  0  1  1  0  0
  1  1  1  0  1  0  1  0

Setting bits in decimal numbers, even for big numbers:

n = [0 1.2345e20];
showBits =     [1 10 40 50 60 61 62 63 64 65 66];
ns = bitset(n, [  10 40       61    63 64 65   ], ..
               [   1  0        1     1  0  1   ])
[bitget(n, showBits); showBits ; bitget(ns, showBits)] // [before ; bits # ; after]
// bits at #<(65|66 - 53) are unknown

--> ns = bitset(n, [  10 40       61    63 64 65   ], ..
  >                [   1  0        1     1  0  1   ])
 ns  =
   2.421D+19   1.373D+20

--> [bitget(n, showBits); showBits ; bitget(ns, showBits)] // [before ; bits # ; after]
 ans  =
   0.    0.    0.    0.    0.    0.    0.    0.    0.    0.    0.
   Nan   Nan   1.    1.    0.    1.    1.    0.    1.    0.    1.
   1.    10.   40.   50.   60.   61.   62.   63.   64.   65.   66.
   Nan   Nan   0.    0.    0.    1.    0.    1.    0.    1.    0.
   Nan   Nan   0.    1.    0.    1.    1.    1.    0.    1.    1.

--> // bits at #<(65|66 - 53) are unknown

History

Version	Description
5.0	Function introduced
6.1.0	64-bit integers now supported. Support to positive signed integers added. With decimal numbers, bits #53 to #1024 can now be properly set. For each input element, several bits can now be set at the same time. Input arguments can now mixed arrays and scalars, instead of mandatory element-wise arrays.

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Syntax

Parameters

Description

Examples

See Also

History