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Loop and return all bitwise values in Long

To set bits, you use the OR operator. You can then use the AND operator to see which bits have been set:
long values = 0;
// Set bits
values |= (1L << 10);
values |= (1L << 45);
values |= (1L << 5600);
// Check if values are set
System.out.println(hasValue(values, 45)); // Returns true
System.out.println(hasValue(values, 55)); // Returns false
System.out.println(hasValue(values, 5600)); // Returns true
public static boolean hasValue(long data, int value)
{
return (((data >> value) & 1L) > 0);
}
Is it possible to loop through values and return each of the values originally set with the OR operator? The result printing:
Found value: 10
Found value: 45
Found value: 5600
Edit: Altered example to include larger numbers.

You could use your function inside of a loop from 0 to 64 to find everything like so:
for (int i = 0; i < 64; i++) {
if (hasValue(values, i))
System.out.println(“Found value: “ + i);
}
But I think there’s a better way. It’s destructive to the variable so if you want to save it for later do it before the loop but here it is:
for (int i = 0; i < 64 && values != 0; i++) {
if (values % 2 == 1)
System.out.println(“Found value: “ + i);
values = values >> 1;
}
The big advantage is to shift one bit at a time and not i bits every time needed.

I hope I understand question correctly. You just need to shift values by 1, and check youngest bit by AND 1 like that:
class Main {
public static void main(String args[]) {
long v = 0;
v |= (1L << 10);
v |= (1L << 45);
v |= (1L << 56);
int i = 0;
while(v != 0) {
if((v & 1L) == 1) {
System.out.println("Found value: " + i);
}
v = v >>> 1;
i++;
}
}
}

Java long has 64 bits.
So you could use 8 bits and store a maximum of 8 integers whose value is between 0 and 255 (unsigned).
You will need to use shift and then store.
So first unsigned byte will be 0-7 bits, second would be 8-15, third being 16-23 and so on.
But not otherwise.

How to fill high-end bits in a Java byte with '1' without knowing the last 1 in advance? (FAST FIX Negative Integer decoder)

I am writing a FIX/FAST decoder for negative numbers as described below:
My question is:
How to fill the high-end bits of a Java byte with 1s as it is described above? I am probably unaware of some bit manipulation magic I need to in this conversion.
So I need to go from 01000110 00111010 01011101 to 11110001 10011101 01011101.
I know how to shift by 7 to drop the 8th bit. What I don't know is how to fill the high-end bits with 1s.

It seems like the question you're asking doesn't really match up with the problem you're trying to solve. You're not trying to fill in the high bits with 1; you're trying to decode a stop-bit-encoded integer from a buffer, which involves discarding the sign bits while combining the payload bits. And, of course, you want to stop after you find a byte with a 1 in the stop bit position. The method below should decode the value correctly:
private static final byte SIGN_BIT = (byte)0x40;
private static final byte STOP_BIT = (byte)0x80;
private static final byte PAYLOAD_MASK = 0x7F;
public static int decodeInt(final ByteBuffer buffer) {
int value = 0;
int currentByte = buffer.get();
if ((currentByte & SIGN_BIT) > 0)
value = -1;
value = (value << 7) | (currentByte & PAYLOAD_MASK);
if ((currentByte & STOP_BIT) != 0)
return value;
currentByte = buffer.get();
value = (value << 7) | (currentByte & PAYLOAD_MASK);
if ((currentByte & STOP_BIT) != 0)
return value;
currentByte = buffer.get();
value = (value << 7) | (currentByte & PAYLOAD_MASK);
if ((currentByte & STOP_BIT) != 0)
return value;
currentByte = buffer.get();
value = (value << 7) | (currentByte & PAYLOAD_MASK);
if ((currentByte & STOP_BIT) != 0)
return value;
currentByte = buffer.get();
value = (value << 7) | (currentByte & PAYLOAD_MASK);
return value;
}
A loop would be cleaner, but I unrolled it manually since messaging protocols tend to be hot code paths, and there's a fixed maximum byte length (5 bytes). For simplicity's sake, I read the bytes from a ByteBuffer, so you may need to adjust the logic based on how you're reading the encoded data.

Fillig the high bits might go as:
int fillHighBits(int b) { // 0001abcd
int n = Integer.highestOneBit(b); // 00010000
n = ~n; // 11101111
++n; // 11110000
return (n | b) 0xFF; // 1111abcd
}
As expression
(~Integer.highestOneBit(b) + 1) | b
Though the examples you gave lets me doubt this is what you want.

This can be done very simply using a simple accumulator where you shift in 7 bits at a time. You need to keep track of how many bits you have in the accumulator.
Sign extension can be performed by simple logical shift left follwed by arithmetic shift right (by the same distance) to copy the topmost bit to all unused positions.
byte[] input = new byte[] { 0x46, 0x3A, (byte) 0xDD };
int accumulator = 0;
int bitCount = 0;
for (byte b : input) {
accumulator = (accumulator << 7) | (b & 0x7F);
bitCount += 7;
}
// now sign extend the bits in accumulator
accumulator <<= (32 - bitCount);
accumulator >>= (32 - bitCount);
System.out.println(Integer.toHexString(accumulator));
The whole trick is that >>N operator replicates the top bit N times.

do logical OR (|) with a number which has highend bits set to 1 and rest are 0
for example:
1010101010101010
OR 1111111100000000
--------------------
11111111101010101

something like this:
int x = ...;
x = x | 0xF000;

how to get absolute value of a number in java using bit manipulation

I want to implement a function to get the absolute value of a number in java: do nothing if it is positive, if it is negative, convert to positive.
I want to do this only using bit manipulations and no number comparators.
Please help

Well a negation:
-n
Is the same as the two's complement:
~n + 1
The problem is here you only want to negate if the value is < 0. You can find that out by using a logical shift to see if the MSB is set:
n >>> 31
A complement would be the same as an XOR with all 1's, something like (for a 4-bit integer):
~1010 == 1010 ^ 1111
And we can get a mask with the arithmetic right shift:
n >> 31
Absolute value says:
if n is < 0, negate it (take the complement and add 1 to it)
else, do nothing to it
So putting it together we can do the following:
static int abs(int n) {
return (n ^ (n >> 31)) + (n >>> 31);
}
Which computes:
if n is < 0, XOR it with all 1's and add 1 to it
else, XOR it with all 0's and add 0 to it
I'm not sure there's an easy way to do it without the addition. Addition involves any number of carries, even for a simple increment.
For example 2 + 1 has no carry:
10 + 1 == 11
But 47 + 1 has 4 carries:
101111 + 1 == 110000
Doing the add and carry with bitwise/bit shifts would basically just be a loop unroll and pointless.
(Edit!)
Just to be silly, here is an increment and carry:
static int abs(int n) {
int s = n >>> 31;
n ^= n >> 31;
int c;
do {
c = (n & s) << 1;
n ^= s;
} while((s = c) != 0);
return n;
}
The way it works is it flips the first bit, then keeps flipping until it finds a 0. So then the job is just to unroll the loop. The loop body can be represented by a somewhat ridiculous compound one-liner.
static int abs(int n) {
int s = n >>> 31;
n ^= n >> 31;
int c = (n & s) << 1;
c = ((n ^= s) & (s = c)) << 1; // repeat this line 30 more times
n ^= s;
return n;
}
So there's an abs using only bitwise and bit shifts.
These aren't faster than Math.abs. Math.abs just returns n < 0 ? -n : n which is trivial. And actually the loop unroll totally sucks in comparison. Just a curiosity I guess. Here's my benchmark:
Math.abs: 4.627323150634766ns
shift/xor/add abs: 6.729459762573242ns
loop abs: 12.028789520263672ns
unrolled abs: 32.47122764587402ns
bit hacks abs: 6.380939483642578ns
(The bit hacks abs is the non-patented one shown here which is basically the same idea as mine except a little harder to understand.)

you can turn a two's-compliment number positive or negative by taking it's logical negation
i = ~i; // i equals not i
You can use the Math.max() function to always get the positive
public static int abs(int i) {
return Math.max(i,~i);
}

This depends on what type of number you are using. For an int, use
int sign = i >> 31;
This gets the sign bit, which is 0 for positive numbers, and 1 for negative numbers. For other primitive types, replace 31 with the number of bits used for the primitive minus 1.
You can then use that sign in your if statement.
if (sign == 1)
i = ~i + 1;

I think you'll find that this little ditty is what you're looking for:
int abs(int v) {
int mask = v >> Integer.SIZE - 1;
return v + mask ^ mask;
}
It's based on Bit Twiddling Hacks absolute value equation and uses no comparison operations. If you aren't allowed to use addition, then (v ^ mask) - mask is an alternative. The value of this function is fairly questionable; since it's nearly as clear as the implementation of Math.abs and it's only marginally faster (at least on a i7):
v + mask ^ mask: 2.0844380704220384 abs/ns
(v ^ mask) - mask: 2.0819764093030244 abs/ns
Math.abs: 2.2636355843860656 abs/ns
Here's a test that proves that it works over the entire range of integers (the test runs in less than 2 minutes on an i7 processor under Java 7 update 51):
package test;
import org.hamcrest.core.Is;
import org.junit.Assert;
import org.junit.Test;
public class AbsTest {
#Test
public void test() {
long processedCount = 0L;
long numberOfIntegers = 1L << Integer.SIZE; //4294967296L
int value;
for (value = Integer.MIN_VALUE; processedCount < numberOfIntegers; value++) {
Assert.assertEquals((long) abs(value), (long) StrictMath.abs(value));
if (processedCount % 1_000_000L == 0L) {
System.out.print(".");
}
processedCount++;
}
System.out.println();
Assert.assertThat(processedCount, Is.is(numberOfIntegers));
Assert.assertThat(value - 1, Is.is(Integer.MAX_VALUE));
}
private static int abs(int v) {
int mask = v >> Integer.SIZE - 1;
return v + mask ^ mask;
}
}

This problem can be broken down into 2 simple steps:
1.
If >= 0 then just return the number.
2.
If smaller than 0 (ie. negative), then flip the first bit that indicates that the number is negative. This can easily be done with an XOR operation with -1 and the number; Then simply add +1 to deal with the offset (signed integers start at -1 not 0).
public static int absolute(int a) {
if (a >= 0) {
return a;
} else {
return (a ^ -1) + 1;
}
}

Reverse all bits in an int and return the int

What integer should be returned when we reverse all bits of integer 1? How do we do that with Java code?
No java built in functions should be used. Shouldn't use String reverse, converting to string etc. Only bitwise operations allowed.
import java.util.*;
import java.lang.*;
import java.io.*;
class BitReverseInt
{
public static void main (String[] args) throws java.lang.Exception{
System.out.println(reverser(1));
}
public static int reverser(int given){
int input = given;
int temp = 0;
int output = 0;
while(input > 0){
output = output << 1;
temp = input & 1;
input = input >> 1;
output = output | temp;
}
return output;
}
}

Bit reversal can be done by interchanging adjacent single bits, then interchanging adjacent 2-bit fields, then 4-bits, and so on as shown below. These five assignment statements can be executed in any order.
/********************************************************
* These are the bit masks used in the bit reversal process
0x55555555 = 01010101010101010101010101010101
0xAAAAAAAA = 10101010101010101010101010101010
0x33333333 = 00110011001100110011001100110011
0xCCCCCCCC = 11001100110011001100110011001100
0x0F0F0F0F = 00001111000011110000111100001111
0xF0F0F0F0 = 11110000111100001111000011110000
0x00FF00FF = 00000000111111110000000011111111
0xFF00FF00 = 11111111000000001111111100000000
0x0000FFFF = 00000000000000001111111111111111
0xFFFF0000 = 11111111111111110000000000000000
*/
uint x = 23885963; // 00000001011011000111100010001011
x = (x & 0x55555555) << 1 | (x & 0xAAAAAAAA) >> 1;
x = (x & 0x33333333) << 2 | (x & 0xCCCCCCCC) >> 2;
x = (x & 0x0F0F0F0F) << 4 | (x & 0xF0F0F0F0) >> 4;
x = (x & 0x00FF00FF) << 8 | (x & 0xFF00FF00) >> 8;
x = (x & 0x0000FFFF) << 16 | (x & 0xFFFF0000) >> 16;
// result x == 3508418176 11010001000111100011011010000000
By looking at each intermediary result you can see what is happening.
Hopefully this will give you what you need to sort it out in your head. John Doe's answer consolidates steps 4 and 5 in to a single expression. This will work on most machines.

Here is the actual implementation of Integer.reverse(int).
public static int reverse(int i) {
// HD, Figure 7-1
i = (i & 0x55555555) << 1 | (i >>> 1) & 0x55555555;
i = (i & 0x33333333) << 2 | (i >>> 2) & 0x33333333;
i = (i & 0x0f0f0f0f) << 4 | (i >>> 4) & 0x0f0f0f0f;
i = (i << 24) | ((i & 0xff00) << 8) |
((i >>> 8) & 0xff00) | (i >>> 24);
return i;
}

You can use a do while loop like this:
public static int reverse(int number){
int reverse = 0;
int remainder = 0;
do{
remainder = number%10;
reverse = reverse*10 + remainder;
number = number/10;
}while(number > 0);
return reverse;
}
And for bitwise operation: here it goes:
// value=your integer, numBitsInt=how much bit you will use to reverse
public static int reverseIntBitwise(int value, int numBitsInt) {
int i = 0, rev = 0, bit;
while (i++ < numBitsInt) {
bit = value & 1;
value = value >> 1;
rev = rev ^ bit;
if (i < numBitsInt)
rev = rev << 1;
}
return rev;
}

Well there are multiple ways to reverse the bits of the given number in Java.
First, Java language has inbuild bitwise complement operator(~). So (~number) reverses the bits of number.
Second, one can use the Integer.reverse(number)
Third, if this is a part of test or you just want to play with bits, you can refer the code below.
/*
The logic uses moving bitmask from right to left:
1. Get the bit of given number, by binary and(&) with bitmask
2. XOR(^) with the bitmask, so here we reverse the bit.
3. OR(|) this reversed bit with the result(result has all Zero initially)
This logic is repeated for each 32 bits by moving the mask from right to left,
one bit at a time using (<<) left shift operator on bitmask.
*/
public class ReverseBits {
public static int reverseBits(int input) {
print("Input", input);
int bitmask = 1;
int result = 0;
do {
//print("Bitmask", bitmask);
result = result | (bitmask ^ (input & bitmask)) ;
//print("Result", result);
bitmask = bitmask << 1;
} while (bitmask != 0);
print("Reverse", result);
return result;
}
public static void print(String label, int input) {
System.out.println(label +"\t:"+Integer.toBinaryString(input));
}
public static void main(String[] args) {
reverseBits(Integer.MIN_VALUE);
reverseBits(Integer.MAX_VALUE);
reverseBits(reverseBits(170));
}
}
Output:
Input :10000000000000000000000000000000
Reverse :1111111111111111111111111111111
Input :1111111111111111111111111111111
Reverse :10000000000000000000000000000000
Input :10101010
Reverse :11111111111111111111111101010101
Input :11111111111111111111111101010101
Reverse :10101010

return Integer.reverse(given);
Integer.reverse Reference

Java - Bit Insertion

I have a long number like:
long l = Long.parseLong("10*000001111110" , 2) ;
Now, I want to add two bits in one position (say 2nd position, marked as *) into the long number.
Like,
long l = Long.parseLong("10*11*000001111110" , 2) ; (given between *)
Can anybody help me how to do that ? Note that I give an example to illustrate what I want. In real, I have only long land I have to work on it.
Edit:
1) position is not constant may be 0, 1 , 2 .. whatever.
2) and msb's can be 0. Means,
long l = Long.parseLong("00000010*000001111110" , 2) ;
long l = Long.parseLong("00000010*11*000001111110" , 2) ;

It sounds like you want something like bitStuffing where masking (&, ~, ^, and |) and shifting (>> and <<) are your instruments of choice.
long insertBit(long p_orignal, long p_new_bits, int p_starting_position_from_right, int p_ending_position_from_right)
{
long returnValue = p_original;
long onlyNewBits = 0;
// Set the bit to zero
long mask = (0xFFFFFFFFFFFFFFFFl);
for (int i=p_starting_position_from_right; i<=p_ending_position_from_right; i++)
{
mask ^ (1l << i);
}
returnValue = returnValue & mask;
mask = ~mask;
onlyNewBits = ~(p_new_bits & mask);
returnValue |= onlyNewBits;
return returnValue;
}
Disclaimer: I don't have a Java compiler available to compile this, but it should be something like this.

The first idea I had is the following:
Extract the first x bits that needs to stay on the position they are (in your example: 10) -> you could do this by running through a loop which creates the appropriate bitmask:
long bitmask = 1;
for(long bit = 1; bit < index; bit++) {
bitmask = (bitmask << 1) | 1;
}
Now you can create the long number that gets inserted -> just shift that number index positions to the left.
After that, you can easily build the new number:
long number = (((oldNumber >> index) << index) << insertionLength) | (insertion << index) | (oldNumber && bitmask);
Note: ((oldNumber >> index) << index) clears out the right part of the number (this part gets appended at the end using the bistmask). then you just need to shift this result by the length of the insertion (make space for it) and or it with the insertion (this needs to get shifted to the left by the index where to insert: (insertion << index). Finally, or the last part of the number (extracted via the bitmask: oldNumber && bitmask) to this result and you are done.
Note: I haven't tested this code. However, generally it should work but you may need to check my shifts (either it is index or index - 1 or so)!

If you only have the Long value say 123 you need to first convert this to a binary string. Like so:
String binaryValue = Long.toBinaryString("123L");
Then we take the string representation and perform a manipulation a specific character like so:
char[] characters = binaryValue.toCharArray();
char desiredCharacter = characters[index];
if(desiredCharacter == '1')
{
if(newValue == '1')
{
desiredCharacter = '0';
}
}else{
if(newValue == '1')
{
desiredCharacter ='1';
}
}
finally we convert the modified characters back into a string like so:
String rebuiltString = new String(characters);
I am sure there are more efficient ways to do this.

Well, if you want to set a specific bit in a number:
To turn it on:
number |= (1 << pos)
if pos = 4: (1<<pos) = 00000000 00000000 00000000 00010000
To turn it off:
number &= ~(1 << pos)
if pos = 4: ~(1<<pos) = 11111111 11111111 11111111 11101111
where pos is the position of the bit (with 0 being the low order bit, and 64 being the high order bit).