How can I convert an int to a bit array?
If I e.g. have an int with the value 3 I want an array, that has the length 8 and that looks like this:
0 0 0 0 0 0 1 1
Each of these numbers are in a separate slot in the array that have the size 8.
Use the BitArray class.
int value = 3;
BitArray b = new BitArray(new int[] { value });
If you want to get an array for the bits, you can use the BitArray.CopyTo method with a bool[] array.
bool[] bits = new bool[b.Count];
b.CopyTo(bits, 0);
Note that the bits will be stored from least significant to most significant, so you may wish to use Array.Reverse.
And finally, if you want get 0s and 1s for each bit instead of booleans (I'm using a byte to store each bit; less wasteful than an int):
byte[] bitValues = bits.Select(bit => (byte)(bit ? 1 : 0)).ToArray();
To convert the int 'x'
int x = 3;
One way, by manipulation on the int :
string s = Convert.ToString(x, 2); //Convert to binary in a string
int[] bits= s.PadLeft(8, '0') // Add 0's from left
.Select(c => int.Parse(c.ToString())) // convert each char to int
.ToArray(); // Convert IEnumerable from select to Array
Alternatively, by using the BitArray class-
BitArray b = new BitArray(new byte[] { x });
int[] bits = b.Cast<bool>().Select(bit => bit ? 1 : 0).ToArray();
Use Convert.ToString (value, 2)
so in your case
string binValue = Convert.ToString (3, 2);
I would achieve it in a one-liner as shown below:
using System;
using System.Collections;
namespace stackoverflowQuestions
{
class Program
{
static void Main(string[] args)
{
//get bit Array for number 20
var myBitArray = new BitArray(BitConverter.GetBytes(20));
}
}
}
Please note that every element of a BitArray is stored as bool as shown in below snapshot:
So below code works:
if (myBitArray[0] == false)
{
//this code block will execute
}
but below code doesn't compile at all:
if (myBitArray[0] == 0)
{
//some code
}
I just ran into an instance where...
int val = 2097152;
var arr = Convert.ToString(val, 2).ToArray();
var myVal = arr[21];
...did not produce the results I was looking for. In 'myVal' above, the value stored in the array in position 21 was '0'. It should have been a '1'. I'm not sure why I received an inaccurate value for this and it baffled me until I found another way in C# to convert an INT to a bit array:
int val = 2097152;
var arr = new BitArray(BitConverter.GetBytes(val));
var myVal = arr[21];
This produced the result 'true' as a boolean value for 'myVal'.
I realize this may not be the most efficient way to obtain this value, but it was very straight forward, simple, and readable.
To convert your integer input to an array of bool of any size, just use LINQ.
bool[] ToBits(int input, int numberOfBits) {
return Enumerable.Range(0, numberOfBits)
.Select(bitIndex => 1 << bitIndex)
.Select(bitMask => (input & bitMask) == bitMask)
.ToArray();
}
So to convert an integer to a bool array of up to 32 bits, simply use it like so:
bool[] bits = ToBits(65, 8); // true, false, false, false, false, false, true, false
You may wish to reverse the array depending on your needs.
Array.Reverse(bits);
int value = 3;
var array = Convert.ToString(value, 2).PadLeft(8, '0').ToArray();
public static bool[] Convert(int[] input, int length)
{
var ret = new bool[length];
var siz = sizeof(int) * 8;
var pow = 0;
var cur = 0;
for (var a = 0; a < input.Length && cur < length; ++a)
{
var inp = input[a];
pow = 1;
if (inp > 0)
{
for (var i = 0; i < siz && cur < length; ++i)
{
ret[cur++] = (inp & pow) == pow;
pow *= 2;
}
}
else
{
for (var i = 0; i < siz && cur < length; ++i)
{
ret[cur++] = (inp & pow) != pow;
pow *= 2;
}
}
}
return ret;
}
I recently discovered the C# Vector<T> class, which uses hardware acceleration (i.e. SIMD: Single-Instruction Multiple Data) to perform operations across the vector components as single instructions. In other words, it parallelizes array operations, to an extent.
Since you are trying to expand an integer bitmask to an array, perhaps you are trying to do something similar.
If you're at the point of unrolling your code, this would be an optimization to strongly consider. But also weigh this against the costs if you are only sparsely using them. And also consider the memory overhead, since Vectors really want to operate on contiguous memory (in CLR known as a Span<T>), so the kernel may be having to twiddle bits under the hood when you instantiate your own vectors from arrays.
Here is an example of how to do masking:
//given two vectors
Vector<int> data1 = new Vector<int>(new int[] { 1, 0, 1, 0, 1, 0, 1, 0 });
Vector<int> data2 = new Vector<int>(new int[] { 0, 1, 1, 0, 1, 0, 0, 1 });
//get the pairwise-matching elements
Vector<int> mask = Vector.Equals(data1, data2);
//and return values from another new vector for matches
Vector<int> whenMatched = new Vector<int>(new int[] { 1, 2, 3, 4, 5, 6, 7, 8 });
//and zero otherwise
Vector<int> whenUnmatched = Vector<int>.Zero;
//perform the filtering
Vector<int> result = Vector.ConditionalSelect(mask, whenMatched, whenUnmatched);
//note that only the first half of vector components render in the Debugger (this is a known bug)
string resultStr = string.Join("", result);
//resultStr is <0, 0, 3, 4, 5, 6, 0, 0>
Note that the VS Debugger is bugged, showing only the first half of the components of a vector.
So with an integer as your mask, you might try:
int maskInt = 0x0F;//00001111 in binary
//convert int mask to a vector (anybody know a better way??)
Vector<int> maskVector = new Vector<int>(Enumerable.Range(0, Vector<int>.Count).Select(i => (maskInt & 1<<i) > 0 ? -1 : 0).ToArray());
Note that the (signed integer) -1 is used to signal true, which has binary representation of all ones.
Positive 1 does not work, and you can cast (int)-1 to uint to get every bit of the binary enabled, if needed (but not by using Enumerable.Cast<>()).
However this only works for int32 masks up to 2^8 because of the 8-element capacity in my system (that supports 4x64-bit chunks). This depends on the execution environment based on the hardware capabilities, so always use Vector<T>.Capacity.
You therefore can get double the capacity with shorts as ints as longs (the new Half type isn't yet supported, nor is "Decimal", which are the corresponding float/double types to int16 and int128):
ushort maskInt = 0b1111010101010101;
Vector<ushort> maskVector = new Vector<ushort>(Enumerable.Range(0, Vector<ushort>.Count).Select(i => (maskInt & 1<<i) > 0 ? -1 : 0).Select(x => (ushort)x).ToArray());
//string maskString = string.Join("", maskVector);//<65535, 0, 65535, 0, 65535, 0, 65535, 0, 65535, 0, 65535, 0, 65535, 65535, 65535, 65535>
Vector<ushort> whenMatched = new Vector<ushort>(Enumerable.Range(1, Vector<ushort>.Count).Select(i => (ushort)i).ToArray());//{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Vector<ushort> whenUnmatched = Vector<ushort>.Zero;
Vector<ushort> result = Vector.ConditionalSelect(maskVector, whenMatched, whenUnmatched);
string resultStr = string.Join("", result);//<1, 0, 3, 0, 5, 0, 7, 0, 9, 0, 11, 0, 13, 14, 15, 16>
Due to how integers work, being signed or unsigned (using the most significant bit to indicate +/- values), you might need to consider that too, for values like converting 0b1111111111111111 to a short. The compiler will usually stop you if you try to do something that appears to be stupid, at least.
short maskInt = unchecked((short)(0b1111111111111111));
Just make sure you don't confuse the most-significant bit of an int32 as being 2^31.
Using & (AND)
Bitwise Operators
The answers above are all correct and effective. If you wanted to do it old-school, without using BitArray or String.Convert(), you would use bitwise operators.
The bitwise AND operator & takes two operands and returns a value where every bit is either 1, if both operands have a 1 in that place, or a 0 in every other case. It's just like the logical AND (&&), but it takes integral operands instead of boolean operands.
Ex. 0101 & 1001 = 0001
Using this principle, any integer AND the maximum value of that integer is itself.
byte b = 0b_0100_1011; // In base 10, 75.
Console.WriteLine(b & byte.MaxValue); // byte.MaxValue = 255
Result: 75
Bitwise AND in a loop
We can use this to our advantage to only take specific bits from an integer by using a loop that goes through every bit in a positive 32-bit integer (i.e., uint) and puts the result of the AND operation into an array of strings which will all be "1" or "0".
A number that has a 1 at only one specific digit n is equal to 2 to the nth power (I typically use the Math.Pow() method).
public static string[] GetBits(uint x) {
string[] bits = new string[32];
for (int i = 0; i < 32; i++) {
uint bit = x & Math.Pow(2, i);
if (bit == 1)
bits[i] = "1";
else
bits[i] = "0";
}
return bits;
}
If you were to input, say, 1000 (which is equivalent to binary 1111101000), you would get an array of 32 strings that would spell 0000 0000 0000 0000 0000 0011 1110 1000 (the spaces are just for readability).
Related
I have a byte array as follows -
byte[] arrByt = new byte[] { 0xF, 0xF, 0x11, 0x4 };
so in binary
arrByt = 00001111 00001111 00010001 000000100
Now I want to create a new byte array by removing leading 0s for each byte from arrByt
arrNewByt = 11111111 10001100 = { 0xFF, 0x8C };
I know that this can be done by converting the byte values into binary string values, removing the leading 0s, appending the values and converting back to byte values into the new array.
However this is a slow process for a large array.
Is there a faster way to achieve this (like logical operations, bit operations, or other efficient ways)?
Thanks.
This should do the job quite fast. At least only standard loops and operators. Give it a try, will also work for longer source arrays.
// source array of bytes
var arrByt = new byte[] {0xF, 0xF, 0x11, 0x4 };
// target array - first with the size of the source array
var targetArray = new byte[arrByt.Length];
// bit index in target array
// from left = byte 0, bit 7 = index 31; to the right = byte 4, bit 0 = index 0
var targetIdx = targetArray.Length * 8 - 1;
// go through all bytes of the source array from left to right
for (var i = 0; i < arrByt.Length; i++)
{
var startFound = false;
// go through all bits of the current byte from the highest to the lowest
for (var x = 7; x >= 0; x--)
{
// copy the bit if it is 1 or if there was already a 1 before in this byte
if (startFound || ((arrByt[i] >> x) & 1) == 1)
{
startFound = true;
// copy the bit from its position in the source array to its new position in the target array
targetArray[targetArray.Length - ((targetIdx / 8) + 1)] |= (byte) (((arrByt[i] >> x) & 1) << (targetIdx % 8));
// advance the bit + byte position in the target array one to the right
targetIdx--;
}
}
}
// resize the target array to only the bytes that were used above
Array.Resize(ref targetArray, (int)Math.Ceiling((targetArray.Length * 8 - (targetIdx + 1)) / 8d));
// write target array content to console
for (var i = 0; i < targetArray.Length; i++)
{
Console.Write($"{targetArray[i]:X} ");
}
// OUTPUT: FF 8C
If you are trying to find the location of the most-significant bit, you can do a log2() of the byte (and if you don't have log2, you can use log(x)/log(2) which is the same as log2(x))
For instance, the number 7, 6, 5, and 4 all have a '1' in the 3rd bit position (0111, 0110, 0101, 0100). The log2() of them are all between 2 and 2.8. Same thing happens for anything in the 4th bit, it will be a number between 3 and 3.9. So you can find out the Most Significant Bit by adding 1 to the log2() of the number (round down).
floor(log2(00001111)) + 1 == floor(3.9) + 1 == 3 + 1 == 4
You know how many bits are in a byte, so you can easily know the number of bits to shift left:
int numToShift = 8 - floor(log2(bytearray[0])) + 1;
shiftedValue = bytearray[0] << numToShift;
From there, it's just a matter of keeping track of how many outstanding bits (not pushed into a bytearray yet) you have, and then pushing some/all of them on.
The above code would only work for the first byte array. If you put this in a loop, the numToShift would maybe need to keep track of the latest empty slot to shift things into (you might have to shift right to fit in current byte array, and then use the leftovers to put into the start of the next byte array). So instead of doing "8 -" in the above code, you would maybe put the starting location. For instance, if only 3 bits were left to fill in the current byte array, you would do:
int numToShift = 3 - floor(log2(bytearray[0])) + 1;
So that number should be a variable:
int numToShift = bitsAvailableInCurrentByte - floor(log2(bytearray[0])) + 1;
Please check this code snippet. This might help you.
byte[] arrByt = new byte[] { 0xF, 0xF, 0x11, 0x4 };
byte[] result = new byte[arrByt.Length / 2];
var en = arrByt.GetEnumerator();
int count = 0;
byte result1 = 0;
int index = 0;
while (en.MoveNext())
{
count++;
byte item = (byte)en.Current;
if (count == 1)
{
while (item < 128)
{
item = (byte)(item << 1);
}
result1 ^= item;
}
if (count == 2)
{
count = 0;
result1 ^= item;
result[index] = result1;
index++;
result1 = 0;
}
}
foreach (var s in result)
{
Console.WriteLine(s.ToString("X"));
}
I have a requirement to encode a byte array from an short integer value
The encoding rules are
The bits representing the integer are bits 0 - 13
bit 14 is set if the number is negative
bit 15 is always 1.
I know I can get the integer into a byte array using BitConverter
byte[] roll = BitConverter.GetBytes(x);
But I cant find how to meet my requirement
Anyone know how to do this?
You should use Bitwise Operators.
Solution is something like this:
Int16 x = 7;
if(x < 0)
{
Int16 mask14 = 16384; // 0b0100000000000000;
x = (Int16)(x | mask14);
}
Int16 mask15 = -32768; // 0b1000000000000000;
x = (Int16)(x | mask15);
byte[] roll = BitConverter.GetBytes(x);
You cannot rely on GetBytes for negative numbers since it complements the bits and that is not what you need.
Instead you need to do bounds checking to make sure the number is representable, then use GetBytes on the absolute value of the given number.
The method's parameter is 'short' so we GetBytes returns a byte array with the size of 2 (you don't need more than 16 bits).
The rest is in the comments below:
static readonly int MAX_UNSIGNED_14_BIT = 16383;// 2^14-1
public static byte[] EncodeSigned14Bit(short x)
{
var absoluteX = Math.Abs(x);
if (absoluteX > MAX_UNSIGNED_14_BIT) throw new ArgumentException($"{nameof(x)} is too large and cannot be represented");
byte[] roll = BitConverter.GetBytes(absoluteX);
if (x < 0)
{
roll[1] |= 0b01000000; //x is negative, set 14th bit
}
roll[1] |= 0b10000000; // 15th bit is always set
return roll;
}
static void Main(string[] args)
{
// testing some values
var r1 = EncodeSigned14Bit(16383); // r1[0] = 255, r1[1] = 191
var r2 = EncodeSigned14Bit(-16383); // r2[0] = 255, r2[1] = 255
}
I am trying to find the faster approach for the following problem.
I have 2 int arrays representing bits, here an example of an 8 positions one
int[] intArray1 = new[] {1, 1, 1, 0, 1, 1, 0, 1};
int[] intArray2 = new[] {0, 1, 0, 0, 1, 0, 0, 1};
The number of bits in the arrays could be 8, 32, 64 and 64+
So I should be able to create an algorithm that handles any kind of input, shifts bits for each and applies logical operations between both arrays in the faster way possible.
After a bit of research, I thought of casting the int array to a bool array and create a BitArray using the bool array, because BitArray has a constructor that supports bools as bits and it has built-in bit-wise operations.
bool[] boolArray = intArray.Select(s => s.Equals(1)).ToArray();
BitArray bitArray = new BitArray(boolArray);
However it does not support built-in bit-shifting, it needs to be done iterating, loosing the whole performance point that I am trying to achieve.
I could use int32 and int64 but that solution will not work for sizes larger than 64 bits.
Kind Regards
Why not just use a BigInteger?
You can use this method to convert a string to a BigInteger:
public static BigInteger BinToDec(string value)
{
// BigInteger can be found in the System.Numerics dll
BigInteger res = 0;
// I'm totally skipping error handling here
foreach(char c in value)
{
res <<= 1;
res += c == '1' ? 1 : 0;
}
return res;
}
Or if you want to stick with your int array and convert that to a BigInteger:
public static BigInteger BitArrayToBigDecimal(int[] bitIntArr) {
// BigInteger can be found in the System.Numerics dll
BigInteger res = 0;
// I'm totally skipping error handling here
foreach(int i in bitIntArr) {
res <<= 1;
res += i == 1 ? 1 : 0;
}
return res;
}
You can bit shift them, too. Like this:
var foo = BinToDec("11101101");
BigInteger fooShifted = foo >> 4;
var bar = BitArrayToBigDecimal(new[] {1, 1, 1, 0, 1, 1, 0, 1});
BigInteger barShifted = bar >> 4;
Let me know if you have any questions.
I've read the other posts on BitArray conversions and tried several myself but none seem to deliver the results I want.
My situation is as such, I have some c# code that controls an LED strip. To issue a single command to the strip I need at most 28 bits
1 bit for selecting between 2 led strips
6 for position (Max 48 addressable leds)
7 for color x3 (0-127 value for color)
Suppose I create a BitArray for that structure and as an example we populate it semi-randomly.
BitArray ba = new BitArray(28);
for(int i = 0 ;i < 28; i++)
{
if (i % 3 == 0)
ba.Set(i, true);
else
ba.Set(i, false);
}
Now I want to stick those 28 bits in 4 bytes (The last 4 bits can be a stop signal), and finally turn it into a String so I can send the string via USB to the LED strip.
All the methods I've tried convert each 1 and 0 as a literal char which is not the goal.
Is there a straightforward way to do this bit compacting in C#?
Well you could use BitArray.CopyTo:
byte[] bytes = new byte[4];
ba.CopyTo(bytes, 0);
Or:
int[] ints = new int[1];
ba.CopyTo(ints, 0);
It's not clear what you'd want the string representation to be though - you're dealing with naturally binary data rather than text data...
I wouldn't use a BitArray for this. Instead, I'd use a struct, and then pack that into an int when I need to:
struct Led
{
public readonly bool Strip;
public readonly byte Position;
public readonly byte Red;
public readonly byte Green;
public readonly byte Blue;
public Led(bool strip, byte pos, byte r, byte g, byte b)
{
// set private fields
}
public int ToInt()
{
const int StripBit = 0x01000000;
const int PositionMask = 0x3F; // 6 bits
// bits 21 through 26
const int PositionShift = 20;
const int ColorMask = 0x7F;
const int RedShift = 14;
const int GreenShift = 7;
int val = Strip ? 0 : StripBit;
val = val | ((Position & PositionMask) << PositionShift);
val = val | ((Red & ColorMask) << RedShift);
val = val | (Blue & ColorMask);
return val;
}
}
That way you can create your structures easily without having to fiddle with bit arrays:
var blue17 = new Led(true, 17, 0, 0, 127);
var blah22 = new Led(false, 22, 15, 97, 42);
and to get the values:
int blue17_value = blue17.ToInt();
You can turn the int into a byte array easily enough with BitConverter:
var blue17_bytes = BitConverter.GetBytes(blue17_value);
It's unclear to me why you want to send that as a string.
i do have an byte array included a range of numbers...
t Block and not the rest!
How can i have all block 4-8 in Temp[] ??
Elements 4-8 (or in reality index 3-7) is 5 bytes. Not 4.
You have the source offset and count mixed up:
Buffer.BlockCopy(bResponse, 3, temp, 0, 5);
Now temp will contain [23232].
If you want the last 4 bytes then use this:
Buffer.BlockCopy(bResponse, 4, temp, 0, 4);
Now temp will contain [3232].
To convert this to an int:
if (BitConverter.IsLittleEndian)
Array.Reverse(temp);
int i = BitConverter.ToInt32(temp, 0);
Edit: (After your comment that [43323232] actually is {43, 32, 32, 32})
var firstByte = temp[0]; // This is 43
var secondByte = temp[1]; // This is 32
var thirdByte = temp[2]; // 32
var fourthByte = temp[3]; // 32
If you want to convert this to an int then the BitConverter example above still works.