This commit is contained in:
Ingy döt Net 2013-04-10 21:29:02 -07:00
parent 764da6cbbb
commit db842d013d
19005 changed files with 197040 additions and 7 deletions

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@ -0,0 +1,21 @@
public class Gray {
public static long grayEncode(long n){
return n ^ (n >>> 1);
}
public static long grayDecode(long n) {
long p = n;
while ((n >>>= 1) != 0)
p ^= n;
return p;
}
public static void main(String[] args){
System.out.println("i\tBinary\tGray\tDecoded");
for(int i = -1; i < 32;i++){
System.out.print(i +"\t");
System.out.print(Integer.toBinaryString(i) + "\t");
System.out.print(Long.toBinaryString(grayEncode(i))+ "\t");
System.out.println(grayDecode(grayEncode(i)));
}
}
}

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public static long grayEncode(long n){
long result = 0;
for(int exp = 0; n > 0; n /= 2, exp++){
long nextHighestBit = (n >> 1) & 1;
if(nextHighestBit == 1){
result += ((n & 1) == 0) ? (1 << exp) : 0; //flip the bit
}else{
result += (n & 1) * (1 << exp); //"n & 1" is "this bit", don't flip it
}
}
return result;
}

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public static BigInteger grayDecode(BigInteger n){
String nBits = n.toString(2);
String result = nBits.substring(0, 1);
for(int i = 1; i < nBits.length(); i++){
//bin[i] = gray[i] ^ bin[i-1]
//XOR with characters
result += nBits.charAt(i) != result.charAt(i - 1) ? "1" : "0";
}
return new BigInteger(result, 2);
}