RosettaCodeData/Task/Fibonacci-sequence/Java/fibonacci-sequence-2.java

29 lines
474 B
Java

/**
* O(log(n))
*/
public static long fib(long n) {
if (n <= 0)
return 0;
long i = (int) (n - 1);
long a = 1, b = 0, c = 0, d = 1, tmp1,tmp2;
while (i > 0) {
if (i % 2 != 0) {
tmp1 = d * b + c * a;
tmp2 = d * (b + a) + c * b;
a = tmp1;
b = tmp2;
}
tmp1 = (long) (Math.pow(c, 2) + Math.pow(d, 2));
tmp2 = d * (2 * c + d);
c = tmp1;
d = tmp2;
i = i / 2;
}
return a + b;
}